Datasets:

JamesXanda

/

barry-dataset-tokenized

like 0

[ 1, 31, 45, 64, 5, 30, 17, 54, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 6081, 7226, 8147, 201, 1528, 3117, 3367, 4704, 6139, 6709, 8147, 571, 1827, 3043, 3866, 4925, 6146, 6979, 8237, 948, 1668, 3063, 3941, 4583, 5320, 7120, 7906, 1059, 1333, 2429, 4078, 4503, 6116, 7066, 8066, 441, 1755, 2312, 3623, 5144, 6037, 6576, 8174, 441, 2118, 2994, 4128, 4282, 6180, 7019, 7252, 735, 1608, 2271, 3651, 4522, 5579, 6569, 8239, 1006, 1608, 2315, 3309, 4915, 5763, 6720, 7453, 613, 1498, 2621, 3996, 5193, 6004, 6286, 7966, 195, 1637, 2659, 3164, 4180, 5662, 6625, 7867, 654, 1525, 2498, 3855, 4651, 5800, 6515, 7976, 654, 1995, 2335, 3376, 4849, 5446, 6388, 8061, 654, 1684, 2316, 3395, 4470, 5723, 6890, 7494, 228, 1851, 2316, 4114, 4918, 5610, 6607, 8066, 240, 1326, 2316, 3827, 4583, 6157, 6840, 7723, 240, 1938, 2221, 3391, 4549, 5534, 6579, 7838, 419, 1851, 3064, 3407, 4344, 6211, 6996, 8080, 915, 1622, 2914, 3391, 4704, 5677, 7077, 8237, 915, 1622, 2806, 3595, 4555, 5963, 7201, 8237, 915, 1756, 2941, 3914, 5138, 5438, 7226, 7715, 915, 1622, 3065, 3825, 4555, 5493, 6612, 7715, 510, 1869, 2880, 3595, 4583, 5694, 6604, 7723, 582, 1206, 2669, 3838, 5088, 6001, 6696, 7451, 249, 2095, 2953, 3853, 4598, 6203, 6383, 8017, 944, 1557, 2939, 3635, 4843, 5810, 6611, 7648, 944, 1496, 2494, 3479, 4288, 5810, 6674, 7618, 1041, 1171, 3137, 3728, 5103, 5810, 6530, 8168, 494, 1990, 2693, 3880, 4789, 5810, 6629, 8061, 1067, 1843, 2173, 3303, 5101, 5466, 6295, 7873, 840, 1706, 2310, 3460, 4274, 5954, 6596, 7580, 1003, 1778, 2358, 3371, 4678, 5512, 6973, 8118, 113, 1650, 2358, 3894, 4776, 5769, 6947, 7734, 1057, 1171, 2307, 3459, 4364, 5332, 6929, 7904, 887, 1496, 2641, 3989, 4683, 5250, 6409, 7783, 271, 1721, 2775, 4168, 4855, 5785, 6735, 7838, 1090, 1494, 3080, 4168, 4900, 5600, 6893, 7264, 678, 2033, 2610, 3917, 4691, 5873, 7129, 7570, 955, 1302, 3098, 3853, 5115, 5204, 7222, 7899, 731, 1271, 3095, 3710, 4586, 5500, 7098, 8267, 216, 1309, 2728, 3361, 4536, 5746, 7129, 7948, 401, 1830, 2866, 4038, 4660, 5573, 7035, 8126, 216, 1309, 3006, 3680, 5159, 5548, 6251, 7481, 731, 1664, 2865, 4085, 5083, 5687, 6709, 7602, 401, 1577, 2924, 3188, 5106, 5761, 7207, 7948, 767, 1935, 2984, 3440, 4583, 6103, 6979, 8083, 571, 1668, 2391, 4071, 4912, 5385, 6771, 8083, 779, 1668, 3043, 4018, 5159, 6025, 7084, 7949, 512, 1750, 2947, 3226, 5159, 5832, 7226, 8083, 488, 1705, 3117, 3990, 4822, 6182, 6709, 8260, 142, 2017, 2957, 3825, 4704, 6139, 7201, 8147, 488, 1528, 2957, 3893, 5058, 6139, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6139, 7124, 8196, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8237, 488, 1622, 2164, 3893, 4980, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6081, 7077, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 76, 32, 63, 33, 75, 35, 5, 28, 26, 5, 31, 16, 5, 63, 45, 75, 35, 78, 5, 17, 75, 5, 28, 14, 28, 16, 52, 12, 54, 5, 31, 16, 5, 43, 11, 63, 66, 5, 41, 48, 52, 78, 5, 45, 66, 64, 5, 52, 20, 64, 5, 16, 54, 30, 5, 52, 57, 54, 52, 47, 54, 16, 64, 5, 5, 3, 488, 1191, 2947, 4170, 4704, 6139, 7006, 8147, 488, 1406, 3117, 4018, 4704, 6139, 7226, 8147, 213, 1750, 2164, 4170, 4704, 6139, 6972, 8196, 216, 1827, 2838, 3540, 4822, 5892, 7201, 7706, 1033, 1499, 3001, 3917, 5143, 5906, 6574, 7290, 601, 1179, 2938, 3610, 4934, 5650, 7156, 8040, 277, 2053, 2910, 4025, 5154, 5222, 7030, 8150, 299, 1726, 2741, 4072, 4589, 5833, 6837, 8062, 977, 1141, 2876, 4079, 4843, 6217, 6491, 7978, 977, 1141, 3003, 4025, 4440, 6066, 6269, 8194, 536, 1189, 2440, 4025, 4534, 5865, 6254, 7301, 299, 1758, 2312, 3254, 4210, 6045, 7004, 7693, 806, 1742, 2312, 3174, 4513, 6052, 6610, 7721, 977, 1496, 2242, 3522, 4694, 5857, 6710, 7297, 977, 1496, 2798, 3687, 4233, 5558, 7063, 7900, 1017, 1306, 2951, 4095, 4875, 5587, 7165, 8038, 154, 1692, 2410, 4138, 4234, 6052, 7050, 7899, 458, 2055, 2951, 3965, 4736, 5364, 6932, 8024, 1060, 1510, 2224, 3421, 4304, 5224, 6442, 7404, 781, 1283, 2578, 4015, 4304, 5500, 7125, 7541, 612, 1693, 2378, 3943, 4851, 6111, 6433, 7867, 1045, 1950, 2741, 4037, 5075, 5533, 6781, 7881, 665, 1948, 3001, 3679, 5124, 5328, 6623, 7868, 304, 2084, 2740, 3748, 5134, 5777, 7184, 8263, 304, 2000, 2345, 3364, 4780, 5981, 7149, 7770, 223, 1141, 2444, 3562, 4643, 5433, 6929, 7835, 448, 2030, 3129, 4064, 4509, 5548, 6258, 8061, 653, 2068, 2741, 3442, 4643, 6131, 7100, 7869, 1023, 1582, 2272, 3237, 4883, 6119, 7033, 7632, 1034, 1228, 3151, 3720, 4369, 6167, 6651, 7818, 1078, 1407, 2876, 3558, 4971, 5395, 6673, 7466, 1045, 1589, 2152, 3675, 4885, 5562, 7135, 7565, 784, 1838, 2481, 3785, 4331, 5486, 6244, 8050, 833, 1407, 2282, 3314, 4781, 6107, 6405, 7819, 955, 1562, 2975, 4171, 4533, 5462, 6646, 7565, 955, 1833, 2793, 4027, 4734, 6063, 7207, 7833, 955, 2000, 2860, 4145, 5044, 5832, 6784, 8099, 708, 1511, 2988, 3876, 4256, 5475, 6953, 7872, 897, 1818, 2818, 3892, 4471, 5272, 7177, 8173, 633, 1585, 3151, 3865, 4546, 6013, 6519, 7954, 900, 2050, 2245, 3422, 4427, 5321, 6529, 7438, 681, 1122, 2265, 3642, 4880, 5205, 7240, 7785, 310, 1768, 2869, 3609, 4830, 5841, 6581, 7951, 810, 1171, 2869, 3804, 4697, 5585, 6978, 7617, 1023, 1826, 2869, 3735, 4906, 6047, 6476, 7997, 730, 1691, 2953, 3835, 5062, 5954, 7066, 7973, 531, 1768, 3040, 4156, 4511, 6218, 6969, 7930, 1101, 1976, 3040, 3756, 4934, 5617, 6483, 7397, 1056, 1682, 3040, 3709, 4720, 5763, 6485, 8063, 923, 1826, 2726, 3454, 5135, 5892, 7139, 8139, 737, 1826, 2667, 3468, 4326, 5903, 7106, 8130, 989, 1826, 3040, 4058, 4335, 5298, 6328, 8050, 989, 1757, 2869, 3306, 5182, 5734, 6741, 7714, 862, 2059, 2888, 4093, 4406, 5354, 6812, 8228, 862, 2059, 2884, 4098, 4406, 5745, 6474, 7676, 864, 1566, 2805, 3189, 4514, 5331, 6497, 7990, 784, 1725, 2990, 3655, 4176, 5745, 6506, 7693, 970, 1982, 2876, 3851, 4358, 5885, 6352, 7279, 1035, 1407, 2369, 3938, 4618, 5716, 7043, 7906, 643, 1675, 2718, 3836, 4857, 5802, 7028, 7615, 504, 1370, 2541, 3485, 4801, 5576, 7016, 7813, 1029, 1682, 2266, 3955, 4593, 6156, 6267, 7875, 761, 1145, 2167, 3273, 5045, 5734, 6608, 7735, 1023, 1736, 2439, 3792, 4678, 6183, 6686, 7256, 363, 1435, 2388, 3513, 4705, 5297, 7074, 7900, 399, 2059, 3001, 3708, 4921, 5480, 7043, 7438, 632, 1283, 2484, 4159, 4678, 5510, 6735, 8045, 1023, 2059, 3070, 3218, 4539, 5944, 6692, 7622, 540, 2059, 2358, 3616, 4589, 5745, 6837, 7808, 802, 1682, 3018, 3218, 4419, 5733, 6850, 8004, 1035, 1995, 2279, 3986, 4883, 5216, 7141, 7616, 845, 2069, 3056, 3167, 5091, 5354, 6685, 8234, 923, 2069, 2512, 3886, 4537, 5331, 6492, 7284, 884, 1723, 2285, 3831, 4996, 6203, 6665, 8023, 761, 1317, 2446, 3708, 4221, 5422, 6719, 7793, 1045, 1512, 2250, 3923, 4305, 5745, 6741, 7423, 975, 1157, 2548, 3349, 4878, 5362, 6707, 8023, 498, 1586, 2764, 3992, 4594, 5701, 7045, 7783, 533, 1289, 2950, 3511, 4993, 6060, 7197, 7768, 668, 1988, 2378, 3704, 4594, 6220, 6930, 7858, 538, 1826, 2564, 3616, 4323, 5733, 7066, 8061, 1080, 1177, 2675, 3254, 4325, 6135, 6692, 7266, 668, 1241, 2987, 4043, 4706, 6210, 6968, 7498, 1088, 1768, 2959, 3992, 5081, 6088, 6457, 8235, 788, 1363, 2163, 3788, 4675, 5899, 6579, 7702, 576, 1563, 2235, 3573, 4287, 5764, 7062, 8240, 927, 1562, 2429, 3391, 4539, 6221, 6631, 8030, 317, 1682, 2959, 3550, 4364, 6065, 6400, 7919, 901, 1773, 2287, 3637, 5157, 5787, 7229, 7361, 613, 1426, 3133, 4049, 4669, 5305, 6325, 8214, 1036, 1759, 2172, 4082, 4431, 5504, 7200, 8268, 595, 2059, 2172, 3525, 4760, 6012, 7200, 8084, 381, 2059, 2304, 4066, 4726, 5313, 6811, 8219, 862, 1180, 2249, 3551, 4657, 5921, 6730, 7520, 304, 1468, 2971, 3460, 4688, 5646, 6715, 7640, 216, 1407, 2383, 3218, 4653, 5962, 7246, 7905, 955, 2001, 3150, 3540, 5008, 5465, 6559, 7707, 512, 1850, 2960, 3212, 5080, 5485, 7100, 7594, 955, 1777, 2793, 3870, 5145, 5479, 6589, 8209, 308, 1809, 3092, 4151, 5006, 5883, 6810, 8173, 684, 1175, 2838, 4114, 4374, 6205, 7230, 7421, 804, 2073, 2381, 3206, 5166, 5901, 7084, 7806, 1097, 2000, 3043, 4071, 5038, 5661, 7004, 7557, 684, 1467, 2838, 3710, 4925, 5687, 7132, 7485, 304, 1750, 2957, 3710, 4551, 5630, 7077, 7421, 390, 1540, 2991, 3990, 4470, 6103, 6589, 8103, 160, 1768, 2842, 4124, 4667, 5830, 6851, 7457, 612, 2067, 2497, 3794, 4894, 5989, 6612, 7638, 607, 1826, 3123, 3356, 4860, 5742, 6384, 7748, 161, 2118, 3040, 3814, 5189, 5361, 6227, 7936, 584, 1830, 2137, 4019, 4511, 5321, 6926, 7973, 242, 1768, 2887, 3356, 5010, 5428, 7061, 7632, 584, 1270, 2869, 3882, 4357, 5867, 6640, 8118, 494, 1615, 2253, 3616, 4302, 5393, 7071, 7522, 900, 1830, 2464, 3718, 4753, 5321, 6983, 8018, 770, 1682, 2309, 3363, 4570, 6162, 6424, 7369, 571, 1407, 2541, 3596, 4253, 6001, 6810, 7927, 955, 1833, 2944, 4027, 4900, 5515, 6520, 7488, 575, 1318, 2944, 4072, 4369, 5405, 6550, 7533, 536, 1898, 2903, 3218, 5120, 5338, 6710, 7994, 1101, 1213, 2867, 3872, 4929, 5615, 6360, 8155, 781, 1788, 2867, 3960, 4419, 5745, 6916, 7373, 803, 1740, 2707, 3239, 4620, 5314, 7080, 8189, 363, 1838, 2900, 3924, 5175, 5827, 7066, 7900, 545, 2001, 2892, 3420, 4595, 5387, 6651, 7672, 386, 1129, 3151, 3623, 4474, 5583, 7192, 7395, 1029, 1129, 2707, 4049, 4982, 6086, 7141, 7685, 314, 1440, 2266, 3600, 4487, 5347, 6284, 8256, 845, 1982, 3040, 3974, 4185, 5248, 6737, 8149, 612, 1440, 2495, 3438, 4506, 5899, 7141, 7787, 737, 1589, 2248, 3521, 4364, 6010, 6999, 8061, 1070, 1983, 2392, 4160, 4882, 5886, 7137, 7774, 966, 1183, 2534, 3283, 4595, 6218, 6354, 7590, 763, 1682, 3040, 3702, 4804, 6145, 6626, 7938, 472, 1682, 3040, 3382, 4547, 5722, 6834, 7955, 1089, 1900, 3040, 3637, 4842, 5414, 6639, 8140, 1089, 1805, 3040, 3842, 4363, 6135, 6952, 8002, 893, 2050, 2800, 3299, 4187, 5566, 7241, 7667, 1070, 1643, 3040, 4119, 4708, 5816, 6983, 7394, 1089, 1982, 3040, 4158, 4702, 5273, 7244, 7905, 363, 1183, 2776, 3408, 4796, 5327, 6828, 8037, 1023, 1183, 2446, 3718, 4401, 6040, 6401, 7894, 314, 1183, 2618, 3675, 5036, 5691, 7072, 7947, 784, 1183, 2307, 3434, 4981, 6020, 7228, 8023, 266, 1183, 2265, 3213, 4273, 6021, 6790, 8061, 1101, 1183, 2218, 3679, 4442, 5600, 6828, 7524, 678, 1407, 2250, 3950, 4982, 5933, 7043, 7366, 678, 1777, 3043, 3226, 5151, 5407, 6967, 8179, 940, 1581, 2695, 3955, 4374, 5602, 6612, 7284, 970, 1175, 3092, 4137, 4826, 5929, 6816, 7622, 970, 2024, 2794, 3488, 4709, 6191, 6567, 7816, 938, 1755, 2309, 3655, 4548, 5624, 6734, 7384, 1011, 1637, 2440, 3648, 4687, 5534, 6615, 7386, 1024, 1755, 2440, 3268, 4829, 5713, 6734, 7702, 1024, 1637, 2661, 3932, 5169, 5514, 6467, 7586, 731, 2095, 2440, 4152, 4780, 5678, 6612, 7908, 216, 1763, 2440, 3931, 5083, 5410, 6612, 8266, 401, 1562, 3092, 3975, 5080, 5661, 7222, 8267, 373, 2068, 2167, 3231, 5139, 6085, 6852, 7627, 610, 1759, 3112, 4114, 4801, 5938, 6338, 8002, 845, 1682, 2139, 3648, 4359, 5787, 6378, 8075, 261, 1407, 3040, 3814, 4738, 5452, 6343, 7800, 1078, 1168, 2296, 3389, 4421, 5826, 6997, 7862, 683, 1934, 2296, 3639, 4961, 5593, 6611, 7911, 893, 1934, 2152, 3868, 4421, 5915, 6433, 7604, 100, 1850, 3103, 3626, 4463, 5710, 7080, 7558, 776, 1995, 2137, 3202, 5084, 5255, 6643, 7774, 715, 1503, 2396, 3966, 4611, 6170, 6348, 8248, 952, 1898, 2389, 4051, 5078, 5792, 6924, 7481, 715, 1183, 2783, 3855, 4225, 5610, 6999, 7291, 776, 1591, 3150, 3420, 5139, 5451, 6740, 7583, 891, 1399, 2286, 3510, 5109, 5890, 6226, 8074, 569, 1947, 2225, 3717, 4356, 5276, 6594, 8244, 569, 1293, 2951, 3330, 4301, 5372, 6533, 7751, 319, 1993, 2667, 3412, 4268, 6064, 7223, 8232, 242, 1306, 2286, 3972, 4820, 5469, 7246, 7870, 242, 1306, 2137, 3697, 4791, 6080, 7080, 8133, 1041, 1306, 3090, 3663, 4793, 6071, 6675, 8178, 465, 1865, 2831, 3962, 5163, 5535, 6784, 7549, 465, 1770, 2884, 3910, 4753, 6098, 6362, 7898, 150, 1758, 2633, 3818, 4215, 5627, 6276, 7947, 373, 1930, 2511, 3789, 4792, 6002, 6580, 7811, 804, 1700, 2582, 3827, 4589, 5359, 6688, 7421, 337, 1791, 2838, 4108, 4630, 5981, 6953, 7658, 935, 1998, 2340, 3803, 4822, 6182, 7098, 7948, 967, 1752, 3064, 3909, 4861, 5610, 6966, 7876, 475, 1304, 2838, 4026, 4555, 5963, 6752, 8080, 256, 1623, 2833, 3516, 4822, 5873, 7004, 8061, 256, 2106, 3110, 3803, 4870, 5901, 7043, 8267, 878, 1752, 2473, 4085, 4239, 6076, 7043, 7411, 256, 1147, 2781, 3891, 4398, 5837, 6256, 7641, 256, 1452, 2775, 3595, 4916, 5548, 6589, 8061, 256, 2106, 2468, 3413, 5083, 6175, 6988, 7887, 789, 2106, 2454, 3803, 4398, 5385, 7087, 7303, 617, 1851, 2775, 4071, 4437, 5723, 6584, 8260, 878, 1675, 2924, 3555, 4307, 5608, 6702, 7299, 685, 1971, 2595, 3904, 4489, 6171, 7045, 7831, 166, 1948, 2717, 3967, 5151, 5610, 7049, 7896, 781, 1550, 2148, 4094, 4189, 5640, 6224, 7904, 986, 2033, 2311, 3776, 4539, 5782, 6820, 7383, 986, 2054, 2436, 3601, 4539, 6145, 6908, 7985, 487, 1771, 2156, 3873, 4539, 5863, 6731, 7442, 487, 1645, 2492, 3605, 4845, 5954, 6763, 7279, 1025, 1388, 2897, 4072, 4953, 6137, 6655, 8181, 643, 1636, 2829, 3298, 5088, 5840, 6627, 7627, 887, 1139, 2987, 3193, 4918, 5887, 6402, 7532, 887, 1496, 3133, 3822, 5168, 5269, 7010, 7397, 1081, 1974, 3026, 3425, 4383, 5991, 6899, 7973, 1025, 1503, 2729, 3895, 4542, 5780, 6325, 7834, 1102, 1503, 3008, 3398, 4392, 6141, 7152, 8170, 304, 1189, 2163, 3487, 5134, 6166, 6584, 7421, 304, 1906, 2129, 3601, 4529, 5832, 6914, 7557, 568, 1986, 2751, 3601, 4334, 5918, 6242, 7627, 228, 1918, 2659, 3917, 5138, 5341, 6850, 7355, 518, 1946, 3098, 3613, 4916, 5778, 6231, 7252, 317, 2125, 2946, 3251, 4298, 5840, 6918, 8185, 708, 1826, 2943, 3621, 4929, 5317, 6466, 7476, 825, 1826, 3135, 3918, 4364, 5613, 6938, 8128, 802, 1826, 2422, 3838, 4923, 5694, 7218, 7816, 761, 1826, 2422, 4030, 5006, 6069, 6840, 7537, 487, 1252, 2848, 3393, 4664, 6114, 6720, 8248, 1029, 2118, 2330, 3245, 4218, 5924, 6840, 7317, 575, 1139, 2932, 4015, 4458, 5226, 7030, 7313, 955, 1915, 2163, 3669, 4877, 5963, 6840, 7291, 1099, 1939, 2340, 3201, 5104, 5767, 6331, 8066, 419, 1945, 2542, 4171, 4512, 6051, 7095, 7876, 518, 1804, 2175, 3838, 4762, 5660, 6709, 8164, 195, 1804, 2970, 4092, 4877, 5385, 7218, 7800, 874, 1424, 2554, 3363, 4916, 5923, 6852, 8195, 228, 2127, 2944, 3171, 4560, 5218, 7090, 7919, 240, 1525, 3133, 4015, 4622, 6157, 6313, 7876, 256, 1851, 3139, 3391, 4556, 5624, 6692, 8030, 419, 2017, 2669, 3914, 4859, 5705, 6338, 7825, 682, 1692, 2520, 3969, 4506, 5865, 6941, 7962, 390, 1305, 3099, 3723, 4512, 5565, 6348, 8248, 1071, 1567, 2361, 3962, 5085, 6120, 6790, 7677, 569, 1723, 2396, 3869, 4197, 5797, 6405, 8085, 569, 1199, 2719, 4035, 5175, 5991, 6768, 7785, 806, 1199, 2903, 3819, 5008, 5709, 6333, 8152, 974, 1199, 2366, 3480, 4285, 5221, 6958, 7567, 646, 1407, 2173, 3408, 4906, 5739, 6565, 8117, 803, 2117, 2173, 4037, 4417, 5847, 7114, 7439, 803, 2043, 3040, 3338, 4942, 6023, 6828, 7875, 368, 1716, 2173, 3525, 4997, 5583, 6224, 8189, 494, 1974, 2225, 3401, 4765, 5264, 6833, 7787, 759, 1469, 2372, 3953, 4562, 5979, 6721, 7626, 1063, 1974, 2518, 3618, 4176, 5325, 7073, 7646, 1063, 1974, 2840, 3847, 4999, 5465, 6968, 8144, 1063, 1982, 2571, 3536, 4999, 5788, 7215, 7674, 1005, 1843, 2687, 3808, 4501, 5471, 6941, 8254, 802, 1897, 2774, 3748, 4497, 5405, 6859, 7930, 1081, 1407, 2866, 3374, 4334, 5817, 6482, 8156, 776, 1248, 2321, 4011, 4573, 5811, 6825, 7870, 211, 1275, 2130, 3982, 4301, 5816, 6632, 8195, 211, 1963, 2790, 3710, 5127, 6146, 7018, 7284, 878, 1311, 3150, 3226, 4541, 5689, 6810, 7996, 225, 2060, 2565, 3225, 4326, 5457, 6486, 7529, 654, 1490, 3021, 3391, 4828, 6051, 6291, 7303, 518, 1596, 2683, 3518, 4555, 5811, 6755, 7303, 127, 2013, 2356, 3586, 5138, 5580, 6612, 7838, 228, 1851, 2579, 3827, 4555, 5515, 6291, 7715, 183, 2060, 3139, 3931, 4764, 5580, 6566, 7919, 899, 1826, 2473, 3374, 4877, 5797, 7111, 8080, 401, 1826, 2669, 3857, 4611, 5689, 7207, 7810, 318, 1415, 2910, 3669, 4762, 5492, 7188, 7537, 612, 1557, 2453, 3159, 4531, 5468, 7068, 8039, 399, 1346, 3051, 4049, 4364, 5317, 6571, 7318, 737, 1346, 3029, 3943, 4734, 5710, 7161, 7586, 936, 2118, 2559, 4072, 4636, 5733, 6570, 8249, 936, 1439, 2271, 3601, 4364, 5710, 6267, 8229, 1035, 1915, 2132, 3524, 4335, 5792, 6790, 7568, 887, 1255, 2891, 3918, 4334, 5684, 6242, 7894, 104, 1717, 3039, 4095, 4343, 5202, 6850, 7485, 160, 1915, 2887, 3870, 4179, 6175, 7241, 7577, 424, 1893, 2401, 4027, 5138, 6080, 6830, 7876, 1090, 1139, 2515, 4027, 4179, 5904, 7037, 8237, 610, 1238, 3053, 3645, 4427, 6175, 7207, 7557, 1090, 1540, 3006, 3201, 5169, 5968, 7168, 7715, 1056, 1791, 3006, 4115, 5020, 6175, 6918, 8185, 833, 2095, 2895, 4026, 5061, 5883, 6566, 7723, 886, 2079, 2584, 4072, 4818, 5818, 6443, 7810, 569, 1915, 2173, 4117, 5031, 5425, 6738, 8194, 778, 1261, 2829, 3276, 4185, 5462, 7014, 8018, 536, 1183, 2536, 3979, 4324, 5323, 6619, 7393, 104, 1183, 2248, 3248, 4548, 5775, 6663, 7426, 536, 1469, 2248, 3632, 4991, 6010, 6405, 7968, 536, 1469, 3066, 4165, 4814, 5711, 6570, 7800, 1041, 1469, 2975, 3590, 4450, 6180, 6763, 7892, 1029, 1503, 2373, 3950, 4970, 5686, 7012, 8054, 1029, 1880, 2166, 3908, 5036, 5359, 6998, 8157, 1029, 1880, 2931, 4105, 4678, 6088, 6614, 7473, 1025, 1503, 2591, 3512, 5134, 6174, 6691, 8091, 1025, 2000, 2805, 3524, 4380, 5550, 6720, 7725, 1025, 1896, 2868, 3169, 4186, 5787, 6755, 7852, 1025, 1809, 2221, 3231, 4536, 5653, 6619, 8179, 1025, 1809, 2905, 3390, 5124, 5815, 6657, 7971, 826, 1773, 2290, 3355, 4755, 5573, 6677, 7687, 826, 1773, 2872, 3530, 4246, 5396, 6708, 7497, 1035, 1692, 2868, 4082, 5092, 5952, 6724, 7429, 150, 1238, 2503, 4087, 5000, 5514, 6654, 8075, 887, 1782, 2869, 3472, 4385, 5204, 6830, 7806, 104, 1561, 2868, 3394, 4549, 6092, 7090, 7770, 1025, 1946, 2492, 3886, 4426, 5579, 6403, 7494, 526, 1797, 2156, 3353, 4678, 5978, 6832, 7896, 1039, 1806, 2830, 3943, 5114, 5616, 7101, 8100, 902, 1732, 2282, 3953, 4934, 5532, 6669, 7991, 807, 1224, 2717, 4037, 4218, 5344, 6607, 8039, 646, 1561, 2728, 3796, 5031, 5509, 7187, 7770, 826, 1652, 2672, 3372, 4873, 5303, 6531, 7261, 887, 1637, 2594, 3316, 4727, 5844, 6852, 8150, 850, 2079, 2783, 4096, 4602, 5265, 7019, 7479, 826, 1797, 2429, 4087, 5007, 5716, 6671, 7336, 887, 1944, 3098, 3298, 4513, 6181, 6883, 8126, 536, 1636, 2424, 4015, 4715, 5565, 6932, 7739, 845, 1472, 2613, 4037, 4209, 5970, 6781, 7784, 881, 1951, 2750, 4037, 4494, 6065, 7241, 7915, 902, 1606, 3074, 3222, 5092, 5510, 6769, 7279, 104, 1946, 2448, 3992, 4205, 5370, 7222, 7592, 839, 1797, 2156, 4037, 4489, 5408, 6365, 7741, 806, 1424, 2697, 3167, 5110, 5745, 6915, 8064, 708, 1992, 2598, 4037, 4598, 5752, 6306, 7367, 654, 1462, 2156, 3562, 4844, 5689, 6574, 7793, 654, 1426, 2725, 3723, 4458, 5637, 6604, 7383, 654, 1452, 3147, 3866, 4555, 6187, 6889, 8262, 127, 1345, 2579, 3555, 4398, 5514, 6786, 8164, 127, 2127, 2287, 4006, 4399, 5340, 6515, 7838, 127, 2002, 2287, 3928, 4790, 6110, 6544, 8134, 127, 1313, 2970, 3879, 5083, 6120, 6529, 7959, 518, 2127, 3062, 4113, 4398, 6137, 7103, 7706, 654, 1345, 2880, 3570, 5159, 5811, 6607, 7664, 518, 1756, 3147, 3595, 5159, 5515, 7160, 8080, 256, 1468, 2880, 4071, 5083, 5792, 6810, 8126, 475, 2032, 2554, 3595, 4622, 5661, 7103, 7555, 186, 1648, 2880, 3470, 4555, 5515, 6988, 8147, 488, 1961, 3117, 3518, 4859, 5493, 6988, 7876, 419, 1750, 2806, 3595, 4555, 6139, 6996, 7563, 915, 2017, 2164, 3595, 4877, 6139, 6794, 7563, 915, 2017, 2914, 3825, 4798, 5677, 7124, 7715, 915, 2017, 2164, 3825, 4798, 6186, 7226, 8223, 915, 1648, 2914, 3595, 4798, 6186, 6752, 7766, 555, 1648, 2833, 3595, 4512, 5438, 7226, 8080, 915, 1147, 3147, 3595, 4624, 5635, 7077, 8164, 915, 2017, 3021, 3374, 4798, 5534, 6584, 7723, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 50, 34, 54, 35, 14, 52, 16, 66, 47, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 6211, 7077, 8147, 860, 1528, 2164, 3825, 4704, 6139, 7077, 7766, 488, 1648, 2806, 3893, 4624, 6081, 7077, 8147, 419, 1851, 2914, 3914, 4366, 6081, 6338, 7723, 613, 1286, 2409, 3939, 4935, 5580, 7220, 7494, 830, 1397, 2472, 3284, 4362, 5821, 7129, 7889, 739, 2048, 2137, 3505, 4364, 5724, 6414, 7817, 487, 1497, 2665, 3792, 4927, 5313, 7227, 7702, 887, 1717, 2527, 3975, 4365, 5613, 6603, 7473, 850, 1676, 2678, 3634, 4458, 5613, 6649, 7570, 826, 1676, 2610, 3380, 4985, 5952, 7069, 7899, 778, 1755, 2282, 3717, 4953, 5893, 6987, 7941, 887, 1227, 2834, 3929, 5011, 5767, 7218, 7485, 1090, 2125, 2838, 3870, 4888, 5630, 7058, 7806, 105, 1791, 3147, 3840, 4367, 5219, 7168, 7658, 183, 1706, 2627, 3903, 4611, 6160, 7096, 7959, 225, 1706, 2975, 4111, 4219, 5821, 6443, 8190, 1020, 1460, 2944, 3850, 5185, 6149, 6607, 8066, 582, 1116, 2144, 3292, 4437, 5777, 6443, 8022, 271, 1442, 2144, 3327, 4995, 6101, 6663, 8244, 271, 1494, 2887, 3751, 4495, 5288, 6441, 7513, 988, 1552, 2482, 3700, 5188, 5756, 6835, 7519, 786, 1695, 3116, 3360, 5114, 5745, 6263, 7793, 895, 1695, 2591, 3403, 5091, 5722, 6443, 8221, 271, 1938, 3148, 3894, 4734, 6210, 6735, 7821, 160, 1915, 2384, 3393, 4855, 6014, 6649, 7614, 610, 1200, 2789, 3233, 4397, 5204, 7047, 7962, 778, 1755, 2775, 4027, 4861, 5413, 7076, 7960, 840, 2055, 2242, 3660, 4321, 6118, 7054, 7887, 1067, 1785, 2129, 3761, 4904, 5651, 6224, 7906, 271, 1517, 2842, 3295, 4572, 5950, 6649, 7727, 386, 1324, 2878, 3250, 4565, 5852, 6306, 7807, 504, 1302, 2878, 3819, 5088, 5946, 6244, 8031, 386, 1318, 2629, 3381, 4512, 6103, 6714, 7290, 504, 1499, 2743, 3891, 4513, 5858, 6736, 8179, 643, 1548, 2424, 4016, 5080, 6063, 6524, 7775, 504, 2035, 2424, 3467, 4407, 5715, 6852, 7768, 643, 1386, 2559, 3950, 4543, 6181, 6662, 7555, 1067, 1759, 2159, 3340, 4906, 6181, 6243, 7776, 339, 1548, 2140, 3757, 4721, 5824, 6859, 7311, 179, 2059, 2732, 3878, 4835, 5695, 6999, 7823, 179, 1509, 2361, 4102, 4997, 5512, 6686, 7369, 320, 1199, 2901, 3912, 4887, 5325, 6506, 7582, 271, 1348, 2869, 4127, 4568, 6179, 6638, 7899, 895, 1503, 2680, 4008, 5066, 5953, 7133, 7554, 895, 1843, 2869, 3835, 4389, 5632, 6461, 7984, 895, 1843, 3040, 4163, 4755, 5632, 7018, 7870, 895, 1438, 2869, 4154, 4506, 5314, 6894, 7471, 1067, 1587, 2911, 3290, 4896, 5387, 6348, 8151, 778, 1740, 2705, 3627, 4321, 6039, 6662, 7864, 752, 1740, 2580, 3155, 4990, 6077, 7142, 7737, 610, 1475, 2163, 4146, 4872, 5223, 6663, 7341, 887, 1812, 2678, 3880, 4994, 5464, 6692, 7549, 1024, 1116, 2724, 3749, 4339, 5526, 7049, 7549, 1040, 2036, 2271, 3416, 4205, 6003, 6716, 7578, 492, 1422, 2271, 4067, 4205, 5847, 7102, 8189, 487, 1349, 2258, 3225, 4604, 6035, 6255, 8189, 970, 1570, 2464, 3807, 4506, 6104, 6333, 7873, 709, 1623, 2239, 3909, 4873, 5565, 7096, 7890, 914, 1963, 3008, 3994, 5168, 5968, 6816, 8045, 1099, 1992, 2970, 3904, 4622, 5761, 7132, 7716, 935, 1847, 2989, 3886, 5088, 5883, 7201, 8179, 195, 2098, 2905, 3470, 4863, 5224, 7207, 7384, 195, 1905, 3099, 3600, 4691, 6137, 7024, 7838, 183, 1575, 2138, 4125, 5106, 5626, 6607, 7667, 955, 1695, 2936, 3470, 5168, 6148, 6671, 7291, 1033, 1112, 2791, 3555, 4321, 6218, 7219, 7383, 1042, 1808, 2751, 3225, 4486, 5477, 6829, 7649, 326, 1942, 2692, 3634, 4412, 5614, 6565, 7825, 487, 2034, 2470, 3555, 4604, 5313, 7102, 8071, 545, 1886, 2692, 3714, 4882, 6106, 6977, 8150, 234, 1289, 2751, 3599, 5197, 5903, 7200, 7548, 620, 1942, 2692, 3660, 4691, 5218, 6617, 7670, 807, 2034, 2713, 3225, 4445, 5533, 6663, 7902, 995, 1164, 2692, 4035, 4949, 5218, 7007, 7896, 923, 1455, 2805, 3292, 5184, 5656, 7191, 7869, 386, 1112, 2992, 3303, 4635, 5800, 6745, 7584, 103, 1956, 2692, 3195, 4323, 5656, 6947, 7469, 103, 2068, 2902, 3986, 4814, 6004, 6856, 7487, 308, 1623, 2992, 3592, 4207, 6080, 7019, 7563, 859, 1633, 2582, 3662, 4589, 5443, 6749, 8170, 860, 1406, 2947, 4145, 4704, 6211, 7201, 8076, 488, 2068, 2164, 3803, 4704, 6103, 6752, 7766, 488, 1622, 2914, 3825, 4624, 6139, 7226, 7766, 818, 2017, 2914, 3893, 4782, 6139, 6979, 8223, 555, 1147, 2970, 3825, 4624, 5811, 6584, 8179, 859, 1750, 3021, 3440, 4512, 6139, 7201, 7806, 859, 1695, 2340, 3407, 5060, 5677, 7201, 7715, 859, 1695, 2340, 4071, 4681, 6182, 6589, 7716, 555, 1695, 2469, 3838, 4583, 5981, 6515, 8261, 859, 2002, 2970, 3550, 4622, 5811, 6604, 8076, 105, 1684, 3064, 4125, 4512, 6175, 6752, 7716, 555, 2078, 2858, 3827, 4555, 6149, 6752, 7303, 859, 1750, 2833, 3391, 4387, 5241, 7091, 7723, 859, 1974, 3021, 3891, 5159, 6182, 7077, 8223, 4, 2 ]

[ 1, 28, 17, 66, 5, 31, 39, 5, 11, 63, 5, 54, 11, 66, 5, 43, 48, 63, 5, 5, 5, 63, 44, 62, 52, 26, 30, 5, 43, 11, 63, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 555, 1622, 3098, 3681, 4966, 5219, 6996, 8080, 1064, 1257, 2520, 3838, 4643, 5422, 6604, 7703, 948, 1686, 3150, 3748, 5127, 5797, 6706, 7415, 1067, 1723, 2455, 3332, 4197, 5406, 6542, 8045, 304, 1986, 2730, 3202, 5151, 6095, 6880, 7689, 534, 1945, 2340, 4124, 4925, 5565, 6771, 7563, 142, 1847, 2925, 3982, 4888, 6103, 7201, 8076, 935, 2017, 2925, 3886, 5159, 6103, 6988, 7723, 186, 1528, 2803, 4018, 4551, 5883, 7239, 7766, 899, 1332, 2746, 4018, 4980, 5436, 7162, 7906, 489, 2068, 2513, 3528, 4805, 5369, 6412, 7477, 405, 2111, 3053, 3770, 4595, 6110, 6753, 7908, 166, 1597, 2487, 4124, 4906, 6221, 6485, 7401, 988, 1283, 2797, 3403, 5040, 5721, 6663, 8128, 1080, 1732, 3001, 4026, 5137, 5348, 6674, 8078, 1024, 1918, 3056, 4007, 4606, 5492, 6242, 7941, 668, 1363, 2760, 3358, 5016, 5671, 7222, 7777, 692, 2107, 3019, 3387, 4214, 6165, 6361, 7669, 692, 1880, 2625, 3593, 4556, 5796, 6750, 7953, 692, 1363, 2532, 3605, 4278, 5746, 6801, 7679, 844, 1280, 2486, 4074, 4777, 5325, 6895, 8208, 955, 1915, 2429, 3488, 5085, 5661, 7184, 8066, 663, 2021, 2582, 3886, 5019, 5565, 6918, 7547, 663, 1773, 2492, 3891, 4470, 5883, 6966, 7806, 391, 1280, 2429, 3433, 4533, 6128, 7207, 8080, 663, 1369, 3007, 4145, 4691, 5294, 6657, 7857, 831, 1886, 2837, 4078, 4981, 5978, 6443, 7494, 620, 1490, 3032, 3895, 4945, 5360, 6270, 8134, 1024, 1490, 3041, 3181, 4904, 5500, 6540, 7605, 913, 1179, 3003, 3463, 4240, 5664, 6670, 8069, 242, 2107, 2308, 3479, 4824, 5461, 6633, 7975, 100, 1145, 2974, 4062, 4833, 5447, 6348, 7983, 938, 2088, 2907, 4146, 4499, 5344, 7094, 7917, 575, 1352, 2260, 3158, 4930, 5337, 7171, 7834, 1047, 1248, 2256, 4112, 5158, 5548, 6966, 7909, 678, 1349, 2679, 3472, 4791, 5473, 6467, 7397, 427, 1510, 2842, 3241, 4727, 5899, 6414, 7891, 488, 1963, 3095, 4114, 4558, 5219, 6786, 8147, 617, 2098, 2839, 3407, 4622, 6051, 6891, 7542, 859, 1471, 2944, 3391, 4888, 5276, 6515, 7401, 183, 2097, 2355, 3320, 4983, 6187, 7201, 7906, 555, 1623, 3099, 3374, 4859, 5719, 6991, 7723, 555, 1974, 3021, 4145, 4822, 5935, 7069, 7707, 914, 1304, 3099, 3914, 4512, 6086, 6709, 8267, 767, 1773, 2794, 4174, 4589, 6182, 7160, 8076, 408, 2008, 2946, 3201, 4954, 5733, 6302, 7614, 807, 1209, 2740, 3227, 4530, 5953, 6566, 7496, 545, 1761, 2426, 3245, 4211, 5658, 6940, 8045, 545, 1555, 2717, 3623, 5036, 5511, 6569, 7297, 408, 1550, 2432, 3897, 5075, 5678, 6421, 8218, 986, 1239, 2271, 3704, 5195, 5558, 6283, 8073, 1084, 1655, 2544, 3500, 4727, 5678, 6467, 7677, 1084, 1640, 2923, 3644, 4860, 5622, 7114, 8161, 1038, 1668, 2717, 4074, 4297, 5966, 7114, 7547, 864, 1561, 2222, 4155, 4859, 5527, 7131, 8215, 1080, 1778, 2621, 4152, 5134, 5332, 6870, 7677, 725, 1812, 2918, 3341, 4690, 5746, 6966, 7965, 504, 1442, 2381, 3358, 5052, 5429, 6412, 7965, 1016, 1586, 2238, 3271, 5150, 5332, 7065, 7408, 1102, 1453, 2834, 3456, 5134, 6203, 7065, 7556, 662, 1758, 2856, 4097, 4415, 5913, 7241, 8093, 403, 1747, 2801, 3271, 4526, 6128, 6869, 7641, 403, 1225, 2926, 3887, 5051, 5672, 6849, 7383, 427, 2111, 2498, 3732, 4856, 5696, 7090, 8236, 552, 1876, 2820, 3885, 4226, 5832, 7142, 7336, 552, 1876, 2293, 3949, 4856, 6018, 7120, 7804, 555, 1876, 2959, 3671, 5106, 6205, 7058, 8147, 555, 2111, 2946, 3945, 4681, 5883, 6589, 8126, 186, 2111, 2164, 3990, 4622, 5892, 7077, 7948, 555, 2065, 2806, 3803, 5007, 5635, 6794, 7421, 488, 2111, 3065, 3825, 4624, 6139, 6589, 8223, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 915, 1804, 2838, 3825, 4980, 5635, 7077, 7949, 676, 1777, 3075, 3838, 4925, 5610, 6566, 7687, 266, 1758, 2874, 3570, 5001, 6015, 6978, 7298, 930, 1586, 2793, 3398, 4788, 5874, 6226, 8117, 692, 1820, 2625, 3300, 4278, 6028, 6857, 7584, 779, 1146, 2440, 3945, 5029, 5539, 6776, 7773, 956, 1218, 2949, 3710, 4912, 6175, 6668, 7919, 186, 1856, 3008, 4166, 4822, 5219, 6979, 7766, 935, 2024, 2991, 4071, 5106, 6211, 6972, 8237, 914, 1992, 2803, 3440, 4822, 5730, 7090, 7723, 591, 1141, 2979, 4067, 4326, 6039, 6607, 7741, 105, 1490, 3133, 4170, 4895, 5514, 6787, 8132, 715, 1509, 2869, 3951, 4179, 5438, 6837, 7881, 1071, 1672, 2452, 3338, 4292, 5763, 6224, 7905, 333, 1490, 2480, 3453, 4941, 5668, 6358, 7470, 485, 1279, 3003, 4015, 4399, 5286, 6868, 7608, 862, 1720, 2345, 3936, 4636, 5665, 6594, 7840, 581, 1461, 2606, 4154, 4933, 5338, 6676, 8254, 738, 1145, 2533, 3422, 4555, 5518, 6974, 7823, 347, 1408, 2481, 3986, 4799, 5810, 7022, 7577, 1049, 1865, 2751, 3510, 4346, 5574, 6823, 7673, 1062, 1758, 2532, 3751, 4607, 5596, 6543, 7561, 692, 1526, 2775, 3515, 4462, 5208, 7169, 8151, 913, 1586, 2588, 3446, 4205, 5317, 6340, 7882, 981, 1586, 2364, 3986, 4575, 5918, 6484, 7799, 1024, 1586, 3112, 4101, 4850, 5706, 6563, 8058, 103, 1931, 3006, 3341, 4854, 6217, 6738, 7885, 955, 1403, 2865, 3509, 4437, 6171, 6444, 8181, 779, 1280, 3038, 4096, 4379, 5963, 6507, 7906, 356, 1566, 2383, 4124, 5160, 6163, 6734, 7716, 617, 1349, 2150, 3711, 4430, 6085, 6566, 8178, 153, 1963, 2221, 3761, 5006, 5658, 6256, 7846, 833, 1171, 2330, 3277, 5134, 5555, 6820, 8185, 403, 2042, 2860, 3575, 5127, 5661, 6656, 8152, 373, 1509, 2858, 3533, 4374, 5952, 6769, 8030, 955, 2073, 2407, 3370, 4983, 5565, 7237, 7895, 776, 1867, 2783, 4085, 5078, 6103, 6719, 8261, 802, 1924, 2860, 3240, 4952, 5494, 6775, 7387, 895, 1664, 2999, 3432, 4232, 5769, 6928, 7889, 763, 1660, 3034, 4014, 4662, 5860, 6324, 7927, 970, 1348, 2291, 3873, 4597, 6181, 6348, 8107, 110, 1886, 2965, 4041, 4954, 6023, 6910, 7919, 242, 2107, 2298, 3354, 4337, 5430, 7143, 8121, 1030, 1141, 3045, 4035, 4620, 6178, 6997, 7256, 91, 1782, 2256, 3403, 4713, 5527, 6293, 8081, 103, 1977, 2758, 3644, 4735, 5365, 6828, 7684, 403, 1455, 2440, 4152, 5139, 5551, 7139, 7318, 678, 1758, 3144, 4027, 4679, 5966, 6979, 7305, 512, 1566, 3026, 4018, 4181, 5527, 7111, 7919, 914, 1363, 2820, 3866, 5166, 5892, 6979, 7607, 186, 1705, 2167, 3825, 4554, 6139, 7084, 7876, 186, 2017, 2164, 3866, 4782, 5241, 6794, 7766, 757, 1286, 2944, 3348, 5061, 5474, 7002, 7480, 555, 1695, 3062, 3928, 5127, 6182, 7019, 8066, 488, 1684, 2164, 3825, 4704, 5963, 7090, 8147, 860, 2017, 3065, 3825, 4704, 6139, 7077, 8237, 142, 1528, 2806, 3825, 4624, 6186, 7226, 8223, 142, 1528, 2806, 3825, 4704, 6081, 7226, 8196, 488, 2017, 2164, 3893, 4624, 6139, 7226, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 14, 78, 5, 43, 48, 5, 51, 39, 53, 5, 17, 62, 5, 76, 45, 31, 5, 53, 45, 52, 30, 63, 44, 30, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1622, 3065, 3825, 4798, 5340, 7077, 7766, 419, 1648, 2833, 4145, 4398, 5296, 6996, 7715, 756, 1286, 2334, 3917, 4670, 5942, 6840, 7887, 459, 1375, 2573, 3555, 4602, 5742, 6810, 7678, 893, 1375, 2430, 3555, 4181, 5843, 6776, 7777, 616, 1108, 2487, 3820, 5195, 5393, 6335, 7542, 952, 1171, 2710, 3394, 5160, 5557, 7192, 7750, 576, 1577, 2401, 3424, 4675, 5221, 6486, 8178, 127, 1218, 2725, 3798, 4925, 5810, 7019, 8150, 228, 2021, 2492, 3394, 4887, 5276, 6642, 7716, 195, 1182, 2957, 3961, 5150, 5436, 7024, 7957, 516, 1971, 2137, 4135, 4750, 6001, 6298, 8014, 545, 1778, 2359, 3752, 4267, 5538, 6606, 7754, 650, 1553, 2865, 4067, 4437, 5204, 6667, 7312, 103, 2107, 2601, 3793, 4612, 5899, 6890, 8239, 105, 2068, 2669, 4026, 4925, 5678, 6962, 7563, 915, 1945, 2949, 4125, 5104, 6081, 6889, 7716, 789, 2078, 2988, 3914, 4912, 5296, 7201, 8147, 757, 1910, 3147, 4153, 5157, 5470, 6277, 7965, 489, 1623, 2803, 3550, 4945, 5223, 6414, 8187, 183, 1623, 2820, 3771, 4225, 5942, 6630, 7965, 715, 1827, 3149, 3885, 4762, 6195, 6529, 7664, 1033, 1919, 2346, 3525, 5103, 6123, 6465, 7896, 752, 1706, 3061, 3487, 4218, 5369, 6581, 8081, 1080, 1782, 3029, 3894, 4435, 6101, 7241, 7801, 545, 2107, 2365, 3963, 4520, 5491, 6783, 7412, 778, 1886, 2751, 4137, 4802, 5847, 6413, 8080, 614, 1978, 3075, 3820, 5151, 5954, 6563, 8071, 424, 1415, 2470, 4155, 4334, 5890, 6244, 8187, 390, 1881, 2515, 4093, 4494, 6063, 6830, 7919, 1090, 1146, 2750, 3955, 4374, 6103, 7084, 7481, 831, 1963, 2429, 3975, 4343, 5641, 7030, 8083, 391, 1797, 2944, 3271, 5080, 5924, 6901, 7745, 1008, 1444, 2743, 3639, 4670, 5840, 6404, 8242, 100, 1919, 2232, 3379, 4598, 6064, 7004, 7807, 776, 1843, 2409, 3859, 4761, 6219, 6889, 7735, 603, 1581, 2407, 3422, 4734, 5905, 6765, 7737, 779, 1660, 2586, 3905, 5129, 5216, 7006, 8132, 1097, 1508, 3064, 3516, 4870, 5832, 6996, 8147, 914, 1963, 2586, 3516, 4861, 6129, 7168, 8107, 1097, 1791, 2781, 3710, 4822, 6014, 7218, 8196, 1099, 1620, 2914, 3367, 5061, 6081, 7084, 8185, 153, 2065, 3008, 3866, 4713, 5890, 6988, 8083, 818, 1620, 2991, 3990, 4624, 5968, 7077, 7485, 914, 1804, 2164, 3825, 4782, 6051, 6972, 8196, 216, 1467, 2985, 4135, 5061, 5834, 6774, 7570, 1029, 1318, 2559, 3602, 4803, 5695, 6617, 7694, 536, 1208, 3092, 3410, 4508, 6165, 6764, 7997, 536, 1507, 2232, 3770, 4669, 5980, 7072, 7288, 752, 1139, 2487, 3770, 5107, 5393, 6704, 7291, 756, 2065, 2932, 3720, 5138, 5840, 6704, 8082, 518, 1935, 2843, 4113, 4344, 5740, 7237, 8198, 256, 1724, 2970, 3904, 4344, 5880, 6486, 8076, 153, 2079, 3144, 4089, 5106, 6015, 6630, 7711, 171, 2002, 3061, 3225, 5180, 5987, 6683, 8267, 818, 1791, 2729, 3945, 4912, 6085, 7162, 7602, 1099, 1998, 3022, 3961, 5104, 5493, 7168, 8209, 956, 1998, 3117, 3866, 5058, 6211, 7077, 8196, 401, 1945, 3064, 3886, 5183, 5635, 7058, 7421, 1071, 1924, 2783, 3886, 4980, 6001, 6254, 7706, 778, 1499, 2429, 3390, 4592, 5378, 6752, 7806, 887, 1931, 2868, 3575, 4935, 6014, 6702, 7806, 1090, 1809, 2946, 3717, 4374, 5983, 6566, 7516, 993, 1826, 2798, 3231, 5160, 5730, 6771, 8213, 1011, 1397, 2225, 3770, 5054, 5432, 7033, 8093, 271, 1826, 2369, 3371, 4872, 5810, 6267, 7604, 569, 1826, 2261, 3370, 4321, 5296, 6850, 7707, 547, 1339, 3130, 3777, 4467, 5965, 6269, 8178, 938, 1399, 2173, 3425, 5069, 6147, 7002, 7674, 1080, 1935, 2173, 3918, 4351, 6152, 6478, 7915, 547, 1873, 2173, 3513, 5135, 5731, 7202, 8035, 424, 1912, 3150, 4135, 5193, 5731, 6348, 7680, 663, 1248, 2533, 3376, 4675, 6208, 6582, 7950, 970, 1682, 2943, 3999, 5054, 5974, 6566, 7658, 171, 1485, 3092, 3188, 4630, 5438, 6901, 8261, 171, 1540, 2582, 3886, 4225, 5899, 7065, 8216, 1097, 2046, 2582, 3811, 4782, 6195, 6786, 8236, 153, 1963, 2709, 3253, 4387, 5385, 6668, 7602, 489, 1918, 2718, 3746, 4186, 5540, 6815, 7375, 568, 2059, 3038, 4092, 5144, 5605, 6686, 7908, 844, 1758, 2895, 3776, 4306, 5483, 6777, 8258, 104, 1975, 2801, 3304, 4949, 5454, 7129, 7642, 993, 1736, 2432, 3581, 4765, 5549, 6910, 8215, 826, 1435, 2312, 3792, 4381, 5823, 6478, 7607, 862, 1171, 2378, 4073, 4459, 5927, 6717, 8021, 1019, 1171, 2610, 3605, 4459, 5794, 7112, 8048, 936, 1510, 2506, 3843, 4346, 6007, 6631, 7911, 271, 1533, 2987, 4137, 4945, 5573, 6543, 7771, 643, 1462, 3033, 3967, 5138, 6119, 6961, 8167, 1056, 1635, 3106, 3394, 5115, 6220, 7041, 7753, 804, 1804, 2444, 4064, 4215, 6205, 6830, 7876, 804, 2000, 2783, 3440, 4589, 5883, 7132, 8267, 356, 1320, 2498, 3188, 4387, 5865, 7181, 7496, 356, 1600, 2953, 3470, 4551, 5378, 6584, 7303, 1097, 1700, 2970, 4170, 4435, 5890, 7168, 7723, 818, 1998, 3007, 4085, 4630, 6103, 6794, 8267, 488, 1528, 2806, 3825, 4630, 5210, 6786, 8196, 935, 1623, 2989, 3440, 4583, 5635, 6604, 8260, 859, 1974, 2833, 3363, 4287, 5550, 7132, 7563, 617, 1974, 3021, 3391, 4399, 5899, 6414, 7563, 617, 1695, 3046, 4124, 4555, 5548, 6515, 8118, 617, 1695, 3021, 3217, 4583, 5942, 6291, 7716, 617, 1648, 2370, 4113, 4762, 5241, 6810, 7865, 617, 1372, 3139, 3891, 4512, 5514, 6752, 7826, 617, 1695, 2370, 3838, 4387, 5610, 7103, 8130, 617, 1345, 2941, 3645, 4549, 5436, 6515, 7563, 617, 1750, 2370, 3586, 4870, 6149, 7100, 7476, 617, 1345, 2775, 4153, 4580, 6137, 6840, 7498, 105, 2111, 2370, 3425, 5083, 6137, 6752, 7291, 617, 1147, 2370, 4166, 5079, 5385, 7181, 8126, 105, 1564, 2791, 3550, 4859, 5678, 6840, 7485, 105, 1345, 2669, 3391, 4549, 5385, 6752, 7643, 4, 2 ]

[ 1, 44, 51, 64, 33, 62, 66, 5, 28, 26, 5, 16, 5, 76, 69, 52, 41, 5, 20, 63, 5, 16, 5, 76, 69, 52, 41, 64, 5, 30, 44, 64, 33, 54, 30, 16, 54, 66, 5, 5, 3, 731, 1112, 2144, 3770, 4611, 5419, 7007, 7490, 672, 1112, 2513, 4102, 4546, 5800, 6868, 8018, 1071, 1550, 2187, 3864, 5077, 5325, 6625, 8001, 779, 2041, 2498, 3764, 4795, 5539, 6520, 8102, 914, 1540, 2556, 3732, 5166, 5825, 6509, 8070, 1097, 1218, 3021, 4152, 4822, 6175, 6752, 7383, 757, 1320, 2444, 3770, 4918, 6009, 6668, 8022, 757, 1141, 2858, 3518, 4580, 6111, 6486, 7442, 541, 1490, 2488, 3714, 4214, 5575, 6755, 8078, 195, 1905, 2833, 4026, 4696, 5988, 7239, 7720, 699, 2034, 2542, 3879, 5088, 5548, 6291, 8126, 654, 2034, 3064, 3562, 4863, 5220, 6604, 7655, 654, 1264, 2683, 4174, 5048, 5550, 7129, 8164, 654, 1286, 2654, 3391, 4512, 5241, 6963, 8132, 654, 1750, 3139, 4166, 4344, 5241, 6810, 7367, 228, 1853, 3021, 4089, 5159, 5706, 7082, 7906, 518, 1133, 2830, 3928, 4423, 5706, 6291, 7717, 878, 2118, 3109, 3681, 4225, 6157, 6747, 7913, 308, 1684, 3128, 3586, 4912, 5296, 6752, 8261, 685, 1681, 2271, 3279, 4595, 5689, 6349, 7816, 875, 1519, 2245, 3165, 4356, 6056, 6913, 7473, 339, 1400, 3140, 3356, 5092, 5212, 6963, 8051, 371, 1767, 2429, 3979, 4500, 5787, 6472, 7597, 860, 2046, 3109, 3540, 5138, 5677, 6291, 7918, 935, 1869, 3109, 3602, 4877, 5630, 7010, 8209, 935, 1110, 3043, 4114, 4877, 6014, 6671, 8076, 935, 1976, 2991, 4071, 4877, 6063, 7111, 7895, 186, 2017, 2834, 4068, 4888, 5661, 6852, 8260, 186, 2046, 3110, 3803, 5080, 6211, 6972, 7766, 818, 1528, 2781, 3645, 4624, 5901, 6996, 8260, 935, 2017, 2164, 3645, 4822, 5635, 7077, 7949, 818, 1622, 2914, 3645, 4624, 6139, 7084, 8237, 818, 2017, 2914, 3893, 4624, 6139, 6972, 7766, 186, 1528, 2164, 3825, 4980, 5901, 6794, 8223, 186, 1622, 3128, 3893, 4366, 5901, 6794, 7421, 100, 1472, 2163, 4153, 4809, 5694, 7165, 7542, 223, 1897, 2944, 3678, 4431, 5540, 6254, 8222, 681, 1393, 2137, 3475, 4952, 5327, 6643, 7737, 1050, 1470, 3029, 3251, 4552, 5954, 6295, 7634, 428, 1252, 2435, 3238, 4552, 5870, 6614, 7259, 428, 1472, 2156, 3635, 4279, 6090, 6689, 8178, 631, 2045, 2764, 3292, 4305, 5441, 6396, 8000, 535, 2008, 2487, 3403, 4604, 5886, 6566, 8178, 774, 1455, 3029, 3443, 5188, 5847, 6442, 7996, 900, 1397, 3047, 3684, 5146, 6135, 6413, 7671, 997, 1271, 2610, 4137, 4305, 5610, 6292, 7270, 546, 1881, 2309, 3741, 5128, 6204, 6807, 8038, 113, 1531, 2705, 4067, 5031, 6105, 6866, 7804, 1008, 2071, 2393, 3759, 4688, 6159, 6663, 7622, 277, 1469, 2348, 3338, 4664, 5828, 7016, 7564, 1008, 1990, 2286, 4047, 4687, 5570, 6885, 8235, 1024, 2071, 2748, 3741, 4259, 6180, 6917, 8259, 778, 1323, 2294, 3785, 4308, 5870, 7158, 7607, 614, 1978, 2999, 3394, 4451, 5515, 6814, 8143, 1025, 1238, 2359, 4112, 4339, 5600, 7185, 8252, 610, 2048, 2482, 3360, 5079, 5702, 6328, 8054, 1025, 1302, 2359, 3912, 4543, 5797, 7237, 8185, 386, 1529, 2705, 3735, 4501, 5389, 7030, 8163, 556, 1251, 2482, 3940, 4501, 5889, 6281, 8125, 632, 1469, 3094, 3659, 4729, 6125, 7038, 8258, 498, 1469, 2346, 3654, 4427, 5930, 6716, 7853, 92, 1996, 2137, 3509, 4729, 5906, 6700, 7672, 1009, 1469, 2171, 4102, 4420, 5907, 6923, 7770, 864, 1469, 2764, 3563, 4720, 5257, 6592, 7880, 784, 1440, 2796, 3779, 4728, 5421, 6923, 7820, 504, 1469, 2799, 3395, 5068, 5507, 6664, 7740, 271, 1440, 2956, 3457, 4380, 5807, 6224, 7686, 961, 1529, 2149, 3868, 4321, 5366, 6734, 7988, 980, 1992, 3135, 3388, 4955, 5471, 7097, 7954, 899, 1963, 2730, 3676, 5080, 6009, 6961, 8108, 518, 1974, 2781, 4059, 5040, 5438, 6732, 8173, 901, 1608, 2858, 3866, 4423, 5381, 6439, 8261, 878, 1108, 2791, 4115, 4890, 5215, 6677, 8006, 256, 2106, 2941, 4125, 4549, 5811, 6607, 8066, 256, 2106, 2473, 3555, 4398, 5832, 7207, 8179, 256, 1648, 3095, 3359, 4555, 5210, 7043, 7717, 256, 1750, 2989, 4125, 5104, 5438, 7168, 7717, 256, 2073, 2729, 4113, 4555, 5811, 6607, 7715, 256, 1750, 3147, 3761, 4912, 5515, 6642, 7563, 240, 1490, 2729, 3827, 4459, 5963, 7077, 8261, 256, 1851, 2340, 3550, 5053, 5219, 7201, 7831, 967, 2073, 2858, 3866, 4762, 5844, 6752, 8266, 617, 1851, 3147, 3803, 4890, 5241, 7217, 7716, 967, 2106, 3065, 3932, 5060, 5678, 7239, 7284, 171, 2088, 3007, 3391, 4681, 5705, 6688, 8081, 488, 2073, 3117, 4171, 4704, 6085, 6996, 8093, 142, 2017, 2914, 3825, 4704, 5534, 7077, 8223, 142, 1622, 2914, 3825, 4704, 5901, 7226, 8196, 142, 1528, 2806, 3893, 4704, 6081, 7077, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7077, 7766, 142, 1528, 2914, 3825, 4798, 5635, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 818, 1648, 2164, 4018, 4624, 5635, 7124, 7766, 492, 1681, 2286, 3989, 4207, 5619, 6465, 7978, 867, 1106, 2295, 3411, 4550, 5486, 6929, 8206, 247, 1168, 3090, 3294, 4511, 5894, 6267, 7521, 944, 1766, 3074, 3244, 5198, 5668, 6716, 7924, 875, 1106, 2495, 3548, 4607, 5934, 6304, 7492, 896, 1106, 2320, 3446, 4426, 5409, 6701, 8041, 875, 1593, 2241, 3378, 5054, 5927, 6733, 7831, 895, 1593, 2179, 3429, 4196, 6066, 6493, 7772, 1067, 1362, 2986, 4094, 5101, 5636, 6917, 7728, 778, 1770, 2848, 3701, 4195, 5643, 6321, 7462, 113, 1463, 3151, 3262, 5125, 5880, 7247, 7254, 668, 1130, 2609, 3701, 4364, 6035, 6478, 8108, 807, 1800, 2405, 3225, 4620, 6086, 6391, 8189, 1067, 1669, 3070, 3421, 4902, 5311, 6557, 7798, 1008, 1339, 2509, 4128, 5177, 6002, 6628, 7882, 396, 2089, 3040, 3717, 4457, 6086, 6304, 7396, 1008, 2071, 2137, 3401, 5069, 5982, 6846, 8225, 1024, 2048, 3040, 3599, 5198, 5616, 6478, 7365, 104, 1617, 2137, 3394, 5054, 5498, 6883, 7365, 641, 2009, 2999, 3393, 5184, 5843, 6292, 8070, 1084, 1675, 2999, 3963, 4715, 6113, 6714, 8242, 663, 1146, 2960, 3155, 4872, 5829, 7100, 7887, 831, 1175, 2555, 3564, 5153, 6016, 7060, 7912, 424, 1854, 2336, 3912, 5199, 5726, 6493, 8132, 113, 1873, 2819, 4146, 4305, 5220, 6402, 8222, 1024, 1117, 2755, 3770, 4518, 5891, 6809, 8222, 1008, 2126, 3078, 3864, 4688, 6003, 7172, 7710, 1024, 1469, 2336, 3895, 4678, 6168, 7188, 8143, 1008, 1129, 2688, 3379, 4321, 6034, 7030, 8012, 277, 1129, 2580, 3187, 4702, 5773, 6551, 7296, 1008, 1753, 2923, 3356, 4604, 5213, 6829, 7318, 864, 2050, 2396, 3796, 4365, 6174, 7101, 8048, 386, 1185, 2847, 3971, 4221, 5671, 7184, 7954, 776, 1777, 2356, 3752, 4343, 5596, 7192, 8099, 970, 1726, 2766, 3770, 5177, 5596, 6438, 7620, 955, 1943, 2998, 3868, 4702, 5308, 6466, 8129, 678, 1540, 2361, 3631, 4825, 6034, 6404, 8207, 256, 1796, 3007, 3917, 4467, 5844, 6953, 7304, 878, 1724, 2490, 3916, 4337, 5979, 6443, 7846, 518, 2073, 2975, 3503, 4992, 5204, 6842, 8227, 518, 2002, 2616, 3648, 4556, 5425, 7162, 7559, 518, 2043, 3147, 3391, 4789, 5811, 7168, 7781, 518, 1326, 2656, 3391, 5011, 5981, 7010, 8093, 228, 2002, 2554, 4125, 4993, 6145, 6589, 7303, 225, 1758, 2593, 3967, 4852, 5520, 7129, 7732, 518, 2002, 3018, 3803, 5159, 5901, 6338, 8102, 256, 1524, 2946, 3966, 4536, 5352, 6840, 8211, 789, 1440, 2946, 3838, 5160, 5223, 6740, 8147, 201, 2078, 2806, 3803, 4877, 5963, 6889, 8236, 488, 2017, 2914, 3893, 4555, 5493, 7124, 7766, 915, 2017, 2914, 3893, 4624, 5493, 7201, 8237, 789, 1528, 2947, 4026, 5080, 5963, 7239, 7723, 576, 1827, 2582, 3967, 4216, 5441, 6348, 8188, 149, 1185, 3063, 3563, 4459, 6147, 6603, 7920, 487, 1302, 2687, 3756, 4664, 5714, 6309, 7826, 602, 1550, 3003, 4132, 4236, 5618, 7053, 7880, 936, 1550, 2973, 4007, 4755, 5602, 6978, 7405, 952, 1942, 3035, 3216, 5009, 5870, 6985, 8069, 568, 1540, 2988, 4085, 4942, 5294, 6400, 7638, 699, 1597, 2718, 3962, 4638, 5483, 7129, 8120, 654, 1525, 2642, 3844, 4903, 5624, 6671, 8067, 654, 2111, 2262, 3364, 4764, 5705, 7002, 8130, 518, 1961, 2895, 3900, 5135, 5694, 6918, 8179, 127, 1930, 2869, 3975, 4877, 5378, 6701, 8083, 518, 1998, 2830, 3891, 4398, 5963, 7006, 7664, 878, 1721, 2833, 3909, 4240, 5223, 7162, 8044, 833, 1889, 3128, 3993, 4179, 5599, 7090, 7732, 897, 1605, 2951, 3678, 4767, 6178, 7036, 7424, 897, 1239, 2951, 3222, 4541, 5890, 6282, 7842, 661, 2024, 2173, 3287, 5107, 5341, 7127, 7542, 553, 1912, 2327, 3479, 4604, 5794, 6411, 7734, 535, 1397, 3097, 3544, 4225, 5450, 6520, 8206, 850, 1568, 2865, 3384, 5074, 5810, 6805, 7917, 778, 1693, 2429, 3644, 4392, 5279, 6348, 8080, 850, 1633, 2436, 3878, 4693, 5633, 6850, 7776, 970, 1807, 2396, 4145, 5096, 5989, 7035, 7992, 831, 1591, 2724, 3201, 4671, 5509, 7244, 7962, 678, 1138, 2944, 4096, 4829, 5931, 6338, 7614, 940, 1485, 2429, 3945, 5153, 5378, 6402, 8080, 1056, 2079, 2944, 3983, 4287, 6128, 6830, 8147, 617, 2041, 2944, 3453, 4856, 5641, 6694, 7816, 987, 1721, 2636, 4096, 4589, 5350, 6452, 8266, 1029, 1510, 2953, 3839, 4483, 5696, 6804, 7813, 692, 1510, 2321, 3922, 5005, 6172, 6917, 7942, 981, 1510, 2389, 3210, 4278, 6188, 6267, 7515, 725, 1510, 2137, 3472, 4364, 6145, 6452, 7646, 1081, 1557, 2582, 3904, 4918, 5899, 6491, 7717, 663, 1948, 2429, 4074, 4801, 6131, 6443, 7260, 940, 1369, 2429, 3945, 4972, 6113, 7132, 8107, 1081, 1141, 2994, 3511, 4850, 6128, 6515, 7557, 288, 1146, 3098, 3922, 4981, 6085, 6740, 7311, 940, 1637, 2793, 3226, 5101, 6129, 7207, 8260, 914, 2000, 3064, 4085, 4551, 5340, 7239, 7421, 552, 1218, 2960, 3645, 4191, 5436, 6771, 7842, 105, 2111, 2271, 3391, 5160, 5963, 7095, 7992, 818, 2000, 2970, 3891, 4704, 6051, 7226, 7949, 488, 2017, 2806, 3893, 4704, 6139, 7124, 8147, 488, 1622, 2806, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 26, 5, 52, 33, 66, 5, 43, 45, 53, 5, 76, 20, 51, 5, 11, 54, 5, 5, 3, 915, 1345, 2970, 3391, 5160, 5901, 6752, 8077, 915, 1623, 2880, 3391, 4615, 5987, 6972, 7717, 915, 1468, 2833, 4153, 5166, 5678, 7207, 7949, 488, 1622, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2806, 3893, 4624, 5241, 7226, 8223, 915, 1528, 2806, 3914, 4798, 5241, 6709, 8223, 914, 1304, 2970, 3955, 4946, 5534, 6996, 7865, 1003, 1707, 2724, 3909, 4176, 5847, 6876, 7948, 611, 2034, 2997, 3261, 4650, 6019, 7115, 8081, 441, 1526, 3125, 3981, 5066, 5991, 7118, 7644, 1036, 1385, 2562, 3486, 5161, 5742, 6447, 8017, 504, 1755, 3095, 3882, 4855, 5865, 6748, 7684, 970, 1446, 3063, 3430, 5134, 5579, 6908, 7465, 970, 1982, 2564, 3233, 4952, 5294, 6830, 7677, 970, 1688, 3020, 3233, 4762, 5903, 6816, 8263, 360, 1585, 2515, 3394, 4976, 5974, 6542, 7473, 728, 1199, 2861, 3600, 4757, 5200, 6373, 8211, 840, 1503, 3016, 3772, 4739, 5523, 7092, 7253, 360, 1503, 2437, 4138, 4634, 5999, 6565, 7513, 249, 1503, 2294, 4072, 4647, 5528, 6707, 7527, 810, 1592, 2869, 3780, 4561, 5839, 6561, 7551, 810, 1778, 2822, 3332, 4697, 6077, 6334, 7801, 179, 1557, 2316, 3254, 4321, 6062, 6592, 7686, 730, 1171, 3047, 3592, 4546, 5926, 7166, 7554, 888, 1826, 2800, 3313, 4531, 5810, 6834, 8104, 1066, 1628, 3040, 3696, 4364, 5620, 7208, 8034, 993, 1555, 3040, 3479, 4604, 5983, 6973, 7926, 1001, 1296, 3040, 4008, 4273, 5675, 7115, 7613, 123, 2079, 3040, 4038, 4943, 5806, 6998, 7881, 536, 1290, 3040, 4007, 5092, 5684, 6850, 8253, 1103, 1672, 3040, 3187, 4266, 6037, 6748, 7736, 137, 1630, 3040, 3459, 4274, 6002, 6480, 7983, 994, 2118, 3037, 4137, 4321, 5914, 6659, 7363, 994, 1915, 2410, 3623, 4280, 5631, 6426, 7524, 1019, 1708, 3011, 3329, 4689, 5787, 6659, 7504, 1019, 1916, 2260, 3765, 5138, 6135, 6765, 7667, 271, 1211, 2316, 3765, 4273, 5989, 6504, 7873, 610, 2024, 3130, 3623, 4273, 6119, 6860, 7985, 308, 2111, 2615, 4168, 4955, 5550, 6612, 8080, 715, 1794, 2257, 3394, 5074, 5472, 6493, 7711, 881, 1349, 2688, 3720, 4678, 6110, 6426, 7375, 1040, 2036, 2625, 3316, 4275, 5796, 6302, 7727, 536, 2036, 2987, 3460, 4218, 5884, 6373, 8136, 936, 1919, 3055, 3259, 4718, 5432, 6917, 8079, 993, 2050, 2975, 3875, 4449, 5569, 6483, 7951, 1025, 1867, 2359, 3289, 4291, 5228, 7106, 7725, 1035, 1581, 2740, 3885, 4829, 5316, 6309, 7996, 150, 1255, 2536, 3310, 5193, 6113, 7228, 7816, 887, 1878, 2905, 3231, 4565, 5320, 6991, 8177, 887, 1978, 3092, 3192, 4458, 5573, 6239, 8126, 1090, 2033, 3098, 3911, 5080, 5573, 7232, 8027, 304, 2000, 3053, 3756, 4521, 6163, 7168, 7887, 610, 1797, 3053, 3917, 4859, 5472, 6393, 7260, 424, 1692, 2925, 3251, 4483, 5664, 6458, 7528, 299, 1454, 2503, 3660, 4706, 6003, 7222, 7962, 104, 1681, 2990, 4146, 4494, 5788, 6929, 8096, 1025, 1821, 2653, 3442, 4981, 5705, 6568, 7622, 826, 2095, 2800, 3468, 5084, 6158, 7102, 7616, 938, 1721, 3088, 3429, 4609, 5568, 7122, 7515, 1024, 1350, 3103, 3979, 4506, 5613, 7046, 8240, 1008, 1881, 2888, 3688, 4808, 5927, 6563, 7263, 344, 2036, 2721, 4016, 4910, 5591, 7130, 8230, 277, 1850, 2882, 3162, 4672, 5702, 7003, 7887, 277, 1146, 3011, 3703, 4765, 6121, 6881, 7478, 1063, 1146, 2712, 4130, 4792, 5894, 6568, 7823, 1057, 1469, 2800, 3544, 4310, 5438, 7154, 7586, 482, 1469, 2762, 3667, 4683, 5931, 7091, 7996, 804, 1913, 2965, 4067, 4229, 5705, 6588, 8185, 914, 2000, 2989, 3803, 4181, 6182, 6771, 7720, 914, 1963, 2899, 3240, 4215, 6051, 7006, 8195, 984, 1856, 2582, 3516, 5106, 5340, 7006, 7895, 935, 1791, 2899, 3990, 4287, 6081, 7077, 8267, 935, 1856, 2641, 4011, 4704, 5661, 6996, 7807, 91, 1910, 3062, 3582, 4256, 5890, 6613, 7391, 1015, 1119, 2659, 3243, 5020, 5869, 6433, 7965, 731, 1986, 2340, 3909, 5151, 5515, 6665, 8195, 314, 2035, 2693, 3371, 4529, 5227, 6933, 7981, 737, 1199, 2439, 3779, 4663, 6157, 6509, 7678, 1101, 1503, 2540, 3520, 4960, 5668, 6434, 8018, 895, 1673, 2540, 3202, 4593, 5632, 6628, 8046, 1101, 1818, 2296, 3332, 4991, 6006, 6653, 7724, 363, 1503, 2727, 4036, 5178, 5787, 6311, 8229, 1067, 1157, 2373, 3688, 4597, 5814, 6436, 7624, 360, 1199, 2301, 3580, 4728, 5722, 6814, 7859, 320, 1682, 2748, 4014, 4368, 5809, 6592, 7564, 895, 1469, 2174, 3835, 4842, 5631, 6970, 8084, 895, 1469, 3045, 3701, 4197, 5869, 6644, 7899, 271, 1840, 2198, 3536, 4242, 6172, 6626, 7827, 1084, 1989, 2819, 3779, 4876, 6126, 7005, 7583, 482, 1751, 3003, 3839, 5017, 5817, 7100, 7515, 692, 1408, 2198, 3714, 5040, 5351, 7021, 7254, 1081, 1786, 3147, 3287, 4444, 5552, 6799, 7791, 91, 1831, 2376, 4112, 4691, 5657, 6674, 8078, 288, 1309, 2737, 3994, 4792, 5883, 6858, 7732, 940, 1141, 2444, 4145, 5058, 5202, 6630, 7959, 1056, 1770, 2365, 3407, 5083, 6113, 6980, 7584, 288, 1847, 2944, 3932, 4276, 6128, 6988, 7753, 512, 1623, 2803, 3803, 4713, 5573, 7095, 7806, 1056, 1218, 2944, 3932, 4366, 6051, 6331, 7720, 4, 2 ]

[ 1, 66, 73, 5, 43, 14, 75, 5, 64, 51, 39, 66, 44, 30, 5, 76, 45, 31, 5, 16, 5, 42, 36, 52, 5, 16, 52, 57, 54, 5, 14, 66, 5, 53, 45, 30, 54, 27, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6081, 7226, 7766, 488, 1648, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1648, 2164, 3825, 4624, 6139, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 757, 2098, 2970, 3803, 4435, 5548, 6603, 7641, 276, 1543, 2499, 4055, 4985, 5965, 7017, 7252, 757, 1424, 2542, 3391, 4870, 5998, 7019, 7602, 91, 1971, 2244, 3879, 4533, 5963, 6227, 8209, 149, 2079, 2868, 4005, 4255, 5600, 6284, 8031, 685, 1463, 2923, 3998, 5040, 6221, 7127, 7614, 392, 1972, 2743, 3218, 4354, 5952, 6844, 7865, 938, 1384, 2309, 3236, 5053, 5946, 6919, 7996, 1009, 2024, 2309, 3279, 4844, 5781, 7079, 7778, 1009, 1655, 2316, 3254, 4417, 5935, 6594, 7466, 266, 2059, 2484, 3552, 4365, 5518, 6769, 7660, 314, 2059, 2309, 3237, 5142, 5835, 7030, 8178, 1025, 2059, 2766, 3480, 5139, 5730, 6612, 7887, 940, 1660, 2793, 4038, 4589, 5629, 6646, 8261, 440, 1797, 3026, 3492, 4448, 6110, 7007, 8017, 804, 2060, 2582, 4011, 4630, 6050, 6270, 7336, 901, 1773, 2560, 4143, 4596, 5525, 6614, 7764, 518, 1255, 3147, 3262, 5088, 5694, 6333, 7776, 518, 1826, 3046, 3341, 4387, 6192, 6410, 7775, 568, 2002, 2788, 3831, 5018, 5678, 6458, 8213, 518, 1440, 3026, 4113, 4630, 5802, 6776, 8099, 225, 1424, 2473, 3680, 5048, 5580, 6313, 7920, 228, 2002, 2473, 3550, 5079, 6110, 6500, 8076, 228, 1851, 2554, 3879, 5138, 6110, 7152, 7706, 228, 1851, 3046, 3236, 5134, 5766, 7090, 8185, 228, 1851, 2880, 3893, 4398, 5767, 6988, 7831, 654, 1108, 2596, 4096, 4611, 6139, 6607, 7831, 228, 1570, 2636, 4125, 4583, 5514, 6972, 8080, 153, 1386, 3006, 3470, 4536, 6048, 6762, 7555, 484, 2106, 2941, 4004, 4782, 5896, 7152, 7555, 915, 1851, 2466, 4113, 4859, 5901, 6607, 8237, 419, 1750, 2806, 3825, 4704, 5514, 6889, 8164, 865, 1910, 2242, 3374, 4179, 5936, 6718, 7504, 756, 1668, 2251, 3692, 5135, 6182, 6414, 7918, 204, 1958, 2658, 3521, 4878, 5443, 6569, 7609, 315, 1550, 2172, 3354, 4493, 5443, 6530, 7651, 441, 1669, 2138, 3259, 4493, 5339, 7089, 7502, 234, 1829, 2282, 3601, 4609, 5417, 6842, 7873, 480, 1669, 2311, 4043, 4267, 5803, 6603, 7873, 856, 1838, 2891, 4120, 4755, 5640, 6224, 8139, 582, 1252, 2940, 3755, 4413, 6086, 7230, 7996, 986, 1281, 2514, 3394, 4733, 5397, 7215, 7973, 545, 2095, 2316, 3500, 5043, 5538, 7103, 8266, 356, 1778, 2316, 3889, 5036, 5633, 6393, 7336, 804, 1508, 2729, 3979, 4717, 5981, 6979, 7421, 804, 1623, 2925, 4108, 5166, 5832, 6604, 8085, 1020, 1227, 2874, 3239, 5167, 5923, 6632, 7469, 582, 1112, 2752, 3979, 5103, 5814, 6771, 7765, 761, 2008, 2872, 4022, 4444, 6166, 6858, 7686, 632, 1820, 3040, 3709, 4193, 5530, 6565, 8149, 668, 2008, 2316, 3304, 4848, 6118, 6302, 7808, 632, 1550, 2675, 4153, 5151, 5477, 6706, 7252, 1080, 1133, 2316, 3919, 5047, 5513, 6974, 7873, 363, 1550, 2882, 3304, 4201, 5608, 6978, 8157, 807, 1140, 3127, 3695, 4226, 5755, 7183, 7331, 575, 1564, 2629, 4128, 5151, 5826, 6403, 7535, 512, 1797, 2366, 3540, 4387, 6182, 6612, 8076, 804, 2000, 2659, 3224, 5061, 5364, 6694, 7312, 804, 2000, 3007, 3962, 5038, 5550, 7120, 7677, 304, 2028, 2573, 3771, 4287, 5796, 7218, 7677, 684, 1620, 2783, 4151, 4287, 5968, 7010, 8126, 684, 1721, 3144, 3826, 5060, 6182, 6709, 8179, 1081, 2035, 3135, 3983, 4239, 6131, 6966, 7846, 150, 2035, 2674, 3819, 4867, 6146, 6567, 7428, 1029, 1302, 2137, 4119, 4494, 5509, 6465, 7701, 536, 1518, 2923, 3478, 4509, 5891, 7109, 7649, 994, 1721, 2868, 4021, 4440, 5512, 7232, 7519, 344, 2059, 3033, 4079, 4596, 6119, 6550, 8162, 1038, 2059, 3129, 3944, 4292, 5478, 7118, 8214, 288, 1407, 2340, 3391, 5080, 6128, 6809, 7676, 779, 1534, 2369, 3511, 4993, 5534, 6809, 7846, 1056, 1675, 2154, 3982, 5142, 5899, 7002, 7481, 952, 2083, 2709, 3383, 4983, 6034, 6985, 8216, 1029, 1407, 3066, 3410, 5169, 5443, 6687, 7602, 123, 1624, 2346, 3471, 4340, 6006, 6803, 7823, 988, 2059, 3039, 3484, 4358, 5220, 7148, 8092, 850, 2059, 3061, 3356, 4489, 5695, 7042, 7365, 1056, 1581, 2677, 4103, 4813, 5223, 7152, 8048, 804, 1173, 3043, 3962, 4536, 6050, 6566, 7949, 308, 1871, 2924, 3982, 4379, 5767, 6786, 8076, 390, 2090, 2947, 3201, 4215, 6120, 6668, 7706, 980, 2063, 2326, 4011, 5061, 5901, 7058, 7658, 779, 1963, 2783, 3945, 4215, 5219, 7201, 8196, 1056, 2125, 3144, 3710, 5080, 6205, 7239, 7948, 456, 1257, 2274, 3448, 4810, 5683, 6761, 8228, 150, 2059, 2348, 4172, 4297, 5762, 6751, 8209, 249, 1948, 2564, 3869, 5074, 5503, 7232, 7633, 608, 1969, 2250, 4130, 4381, 5787, 7222, 7911, 363, 1479, 2905, 3167, 4776, 5512, 6360, 8226, 840, 1962, 2905, 3521, 4776, 5776, 6930, 7438, 271, 1479, 2761, 3819, 5134, 5579, 6466, 8215, 386, 1736, 2687, 3655, 5041, 6090, 6969, 7904, 249, 1294, 2950, 3434, 4842, 5991, 7135, 7821, 784, 1736, 2929, 3276, 4857, 5587, 6398, 7418, 1101, 1271, 2511, 3570, 4887, 5491, 6953, 8061, 725, 1842, 2766, 4099, 4796, 5973, 6633, 8140, 803, 1324, 2462, 3159, 4842, 6145, 6455, 7438, 363, 2028, 2511, 3957, 5031, 5701, 7247, 7973, 1067, 1786, 2905, 3246, 4542, 5344, 6664, 7814, 386, 1145, 2690, 3434, 4661, 5730, 6746, 7709, 1029, 1302, 2737, 3655, 4796, 5717, 6373, 8013, 150, 1845, 2737, 3675, 4791, 5618, 7072, 7726, 693, 2050, 2429, 3474, 4501, 5469, 6755, 7821, 1101, 1658, 2137, 3454, 4295, 5425, 7057, 7675, 235, 1543, 2137, 4046, 5196, 6125, 7035, 7651, 643, 2050, 2901, 4155, 4963, 5864, 6681, 7758, 970, 2050, 3126, 3954, 4350, 5605, 6540, 8162, 504, 1440, 3108, 3997, 5183, 5539, 6501, 7881, 386, 1440, 2446, 3740, 4558, 5223, 6731, 7488, 1029, 1440, 2321, 3675, 4456, 5305, 6966, 8245, 887, 1468, 2887, 3967, 4467, 5910, 6284, 7626, 923, 1499, 2506, 3750, 4966, 6033, 6935, 7627, 1001, 1499, 2261, 3967, 5175, 5345, 6283, 7962, 970, 1183, 2974, 4016, 4700, 5862, 6717, 8215, 1011, 1468, 2373, 3842, 4701, 5304, 6668, 8026, 1011, 1749, 2762, 3352, 4415, 6007, 7144, 7872, 1059, 2003, 2407, 3665, 5151, 5521, 7035, 7605, 955, 1621, 2346, 3470, 5175, 6202, 7037, 7577, 211, 1912, 2514, 3876, 4700, 6010, 7164, 8048, 970, 1129, 2951, 4080, 4694, 5780, 7149, 7955, 390, 1178, 3040, 4147, 4848, 5824, 6501, 7707, 1011, 1369, 2345, 3595, 4337, 5248, 7103, 7660, 1024, 1183, 3105, 3695, 4324, 5775, 6570, 7996, 1090, 1183, 2797, 3689, 4415, 6181, 6456, 7957, 1025, 1503, 2748, 4067, 5151, 6159, 7163, 7650, 1057, 1183, 2748, 3689, 4321, 6171, 6687, 8235, 1040, 1199, 3040, 3502, 4666, 5954, 6623, 7756, 1040, 1183, 3149, 3845, 4246, 5512, 6422, 7644, 896, 1183, 3145, 3979, 4293, 5618, 6497, 7894, 1060, 1670, 2274, 3329, 4488, 5577, 6599, 7900, 994, 1812, 2452, 3623, 4876, 5852, 6813, 7318, 876, 1594, 2452, 3329, 5066, 5719, 6843, 7277, 123, 2033, 2495, 3960, 4520, 6145, 6857, 8037, 888, 2035, 2321, 3960, 5041, 6118, 7190, 7605, 1029, 1503, 3050, 3908, 5008, 5602, 6923, 8232, 299, 1503, 2441, 3498, 4702, 5223, 6611, 7721, 1101, 1469, 2460, 3688, 4320, 5654, 6269, 8262, 271, 1503, 2710, 3342, 4668, 5313, 6655, 7466, 150, 1548, 2286, 3573, 5030, 6101, 6968, 7745, 1029, 1469, 2205, 3701, 4775, 5305, 6225, 7906, 386, 1183, 2915, 3685, 4734, 5472, 6695, 7312, 271, 1468, 2842, 4093, 4515, 5937, 6731, 7626, 540, 1199, 2785, 3223, 4444, 5696, 6412, 8121, 386, 1509, 2858, 3558, 4803, 5950, 7100, 7687, 643, 1812, 2687, 3456, 4670, 5850, 6502, 7521, 970, 1773, 2391, 4147, 4936, 5210, 6666, 8205, 504, 1755, 2564, 3418, 4365, 5775, 7060, 7524, 386, 1717, 2564, 3338, 4691, 5576, 6338, 7508, 1029, 1935, 2564, 3323, 4319, 5221, 6239, 7821, 150, 1227, 2313, 4160, 4606, 6146, 6308, 7664, 884, 2001, 2528, 3994, 4807, 5222, 6321, 7525, 271, 1596, 3019, 3431, 4321, 5880, 7220, 7786, 844, 1426, 2689, 3530, 4488, 6004, 6485, 7437, 923, 1489, 2810, 3486, 4571, 5536, 7066, 7538, 1062, 1932, 3103, 4037, 4434, 5653, 6965, 7967, 211, 1139, 2636, 3511, 4431, 6135, 7232, 7480, 956, 1998, 3098, 3866, 5117, 5216, 6474, 7949, 308, 1867, 2783, 4115, 5165, 6146, 6752, 7557, 510, 1945, 2960, 4108, 5159, 5661, 7201, 8195, 956, 1620, 3006, 3226, 4551, 6205, 6988, 7806, 308, 1804, 3064, 3253, 4215, 5705, 6979, 7948, 1071, 1721, 2352, 4085, 5165, 5385, 7220, 8093, 1033, 2079, 2793, 3918, 4630, 5436, 7006, 8066, 614, 1255, 3034, 3918, 4212, 6111, 7019, 7962, 826, 1407, 2868, 3165, 4490, 5832, 7004, 7994, 104, 1978, 2905, 3832, 4893, 5504, 6670, 7341, 271, 1350, 2564, 3875, 4635, 6092, 7246, 8172, 993, 1797, 2564, 3709, 4575, 6179, 7007, 8209, 1023, 2055, 2436, 3300, 5022, 6222, 6224, 7981, 884, 1494, 2725, 3765, 4603, 5843, 6814, 7415, 845, 1494, 2725, 3764, 5146, 5898, 6736, 7726, 545, 1494, 3040, 3623, 4589, 5656, 6611, 7532, 390, 1938, 2677, 3394, 4902, 5615, 6224, 7588, 1097, 1850, 3040, 3917, 4903, 5764, 6896, 7919, 1099, 1705, 2760, 4174, 4366, 5705, 6612, 7570, 804, 1620, 2326, 3990, 4430, 6129, 7111, 8266, 308, 1747, 2957, 3866, 5165, 5705, 6668, 8179, 1079, 1620, 2949, 4011, 4966, 6146, 7201, 7485, 390, 1822, 2895, 3932, 5145, 6085, 6265, 7806, 955, 1944, 3110, 3516, 4551, 5340, 7239, 7485, 610, 1182, 2924, 3987, 4872, 5534, 7084, 7887, 650, 2053, 2241, 4153, 5166, 5811, 7019, 8016, 895, 1771, 2642, 3479, 4762, 6006, 7063, 8188, 462, 2105, 3040, 4066, 4323, 5794, 6453, 7259, 668, 1426, 2930, 3717, 4919, 5589, 6426, 8048, 1040, 1789, 2486, 3691, 4290, 6145, 7238, 7712, 536, 1608, 2373, 4007, 4326, 5798, 7115, 8234, 113, 1503, 3061, 4072, 4316, 5578, 6892, 7378, 1101, 1503, 3029, 3840, 4736, 5622, 6681, 7846, 465, 1496, 2198, 3568, 5092, 6118, 6281, 7438, 1052, 2118, 2731, 3419, 5031, 5490, 6632, 7879, 585, 1206, 2218, 3749, 4494, 5976, 6687, 8189, 986, 1606, 2830, 3384, 4818, 6002, 6997, 8012, 986, 1931, 2830, 4007, 4467, 6034, 6830, 7568, 1005, 1942, 2453, 4035, 4912, 5530, 6710, 8060, 356, 1455, 2365, 3355, 4918, 5752, 6612, 7869, 488, 1945, 3095, 4068, 5058, 6175, 6967, 8179, 757, 1750, 2606, 4125, 4691, 5963, 7058, 7260, 757, 1752, 2839, 4067, 4755, 5289, 7129, 7651, 419, 1695, 2221, 3771, 5106, 5534, 6996, 8114, 818, 1623, 2608, 3803, 5080, 5219, 7006, 8260, 860, 1528, 2806, 3803, 5038, 6129, 7239, 8147, 488, 1528, 2806, 3803, 4630, 6139, 7201, 7876, 818, 2017, 2164, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 818, 1528, 3135, 4071, 5080, 6103, 7006, 7876, 818, 1648, 2914, 3825, 4888, 6085, 6794, 8223, 488, 1528, 2164, 3893, 4870, 6139, 6794, 8147, 488, 1648, 2914, 3893, 4798, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4704, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 488, 1648, 2806, 3893, 4870, 6139, 6589, 8196, 488, 1648, 2164, 3825, 4624, 6139, 6794, 8196, 488, 2111, 3065, 3825, 4798, 6186, 7120, 8223, 488, 2111, 3021, 3893, 4624, 6081, 6589, 8080, 488, 1648, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 76, 45, 52, 5, 77, 73, 5, 76, 39, 66, 5, 16, 54, 30, 5, 64, 48, 5, 43, 45, 53, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 3825, 4624, 6139, 7077, 7766, 488, 1648, 2914, 3893, 4622, 6139, 7226, 8223, 915, 2017, 2164, 3391, 4622, 5550, 6794, 7717, 488, 1648, 2806, 3893, 4624, 6186, 7226, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 186, 1528, 3007, 3893, 4782, 5635, 7124, 7806, 984, 2000, 2991, 4113, 5038, 6103, 7006, 8266, 887, 1860, 3143, 3866, 4933, 5534, 6988, 7905, 850, 1651, 2497, 3582, 4495, 5873, 7005, 7402, 1040, 1299, 3040, 3399, 4825, 5950, 6377, 8205, 850, 1828, 2642, 3324, 4887, 5492, 6566, 7398, 778, 1938, 2399, 3870, 4664, 5204, 7090, 7822, 731, 1794, 2597, 3376, 4671, 6137, 6611, 7720, 779, 1333, 2603, 3827, 4856, 5767, 6810, 8083, 722, 1935, 2818, 3164, 4269, 5298, 6254, 8261, 986, 1400, 2865, 3986, 5159, 5653, 6814, 7887, 545, 2102, 2156, 3873, 4358, 6154, 6466, 8049, 582, 1252, 2940, 3396, 4664, 5441, 7247, 8061, 767, 1886, 2156, 4135, 4993, 5594, 6648, 7959, 223, 1252, 2832, 3515, 4555, 5782, 7157, 7303, 685, 1137, 2156, 3372, 4374, 5510, 6295, 7496, 948, 2095, 2163, 3601, 4801, 5646, 6465, 8221, 386, 1318, 2595, 3979, 5108, 5347, 6884, 7801, 223, 1777, 2966, 3316, 4471, 5620, 6470, 8080, 1081, 2035, 2924, 3885, 4856, 5586, 6969, 7494, 610, 2035, 2675, 3512, 4780, 5893, 7095, 8195, 610, 1255, 2866, 3929, 4867, 6103, 7132, 7959, 678, 1978, 2895, 3371, 4276, 6175, 7162, 7658, 271, 1179, 2149, 3727, 4422, 5568, 6533, 7696, 277, 2009, 2541, 3858, 4238, 6073, 6721, 7527, 1019, 1269, 2974, 3249, 4350, 5624, 7002, 7962, 326, 2059, 2480, 3615, 4350, 6041, 7116, 8039, 692, 1283, 2583, 3358, 4604, 5263, 6960, 7711, 702, 1397, 3118, 3515, 4785, 5810, 6903, 7369, 807, 1545, 2692, 3714, 4665, 5706, 6275, 8072, 936, 1550, 2601, 3316, 5096, 6101, 6595, 7318, 936, 1206, 2144, 3765, 4920, 5930, 6333, 8071, 936, 1164, 2728, 3515, 4595, 5828, 6242, 7481, 807, 1494, 2309, 4126, 4539, 6117, 7053, 8060, 1090, 1494, 2646, 3822, 4539, 5223, 6478, 7999, 678, 1462, 2542, 4126, 4191, 6118, 6235, 7298, 504, 1400, 2262, 3601, 4604, 5500, 6671, 7488, 386, 1281, 3097, 4096, 4788, 5844, 6651, 8016, 725, 1717, 2506, 3190, 4454, 5894, 7063, 7297, 938, 1281, 2156, 3540, 5134, 5836, 6430, 7539, 304, 1175, 2925, 3916, 4780, 5235, 6346, 7262, 401, 1566, 3060, 3231, 5088, 6114, 6734, 8093, 304, 1356, 2710, 3955, 5159, 5630, 7132, 8237, 504, 1637, 2462, 3771, 5088, 5824, 6566, 7570, 1033, 1777, 2678, 4146, 5183, 5204, 7160, 8016, 955, 2126, 2709, 4085, 4282, 5204, 7149, 8078, 240, 1716, 2988, 3987, 4882, 6083, 6830, 8227, 824, 1826, 2880, 4166, 4890, 5923, 7133, 8260, 654, 2060, 2282, 3374, 4181, 5218, 6704, 7852, 654, 1349, 2491, 3276, 5104, 5586, 6909, 7677, 654, 1550, 2468, 3487, 4421, 5861, 7230, 7602, 654, 2061, 2669, 4145, 4870, 5218, 6677, 7537, 518, 2061, 2221, 3955, 4743, 5479, 6584, 7279, 617, 1684, 3064, 4114, 4387, 5677, 7069, 7962, 223, 1550, 2833, 4114, 4387, 5771, 6657, 7772, 326, 1782, 2196, 3842, 4690, 5656, 7163, 8262, 616, 1550, 2587, 3810, 4604, 5548, 6308, 7674, 487, 2034, 2348, 3350, 4720, 5573, 6905, 7689, 927, 1958, 2515, 3613, 4795, 5855, 6991, 8141, 582, 1264, 2187, 4103, 4321, 5884, 6803, 8028, 806, 1550, 2987, 3540, 4686, 5658, 6830, 8250, 1025, 1550, 2436, 3822, 4767, 5982, 7094, 7536, 516, 1561, 2515, 4003, 4590, 5810, 6613, 7707, 708, 1363, 2751, 3929, 5006, 6062, 6256, 7799, 643, 1878, 2268, 3515, 4219, 6160, 6820, 7574, 708, 1692, 2484, 3515, 4998, 5610, 6625, 7349, 981, 1878, 2601, 3424, 5103, 5740, 6560, 7683, 1080, 1112, 2401, 3970, 5138, 5325, 6944, 7873, 1080, 1182, 2327, 3314, 4804, 6141, 6308, 7675, 668, 1553, 2346, 4146, 4604, 6086, 6717, 8029, 895, 1570, 2923, 4137, 4676, 5742, 6684, 7524, 895, 1283, 2227, 3828, 5111, 6034, 6865, 7827, 895, 1794, 2552, 3536, 4588, 5725, 6611, 7490, 150, 1865, 3020, 3684, 5125, 5865, 6714, 7490, 955, 1156, 2515, 3259, 4360, 5250, 6765, 7810, 1047, 1269, 2481, 3873, 4972, 6131, 7244, 8164, 767, 1363, 3033, 3206, 4796, 6080, 7069, 7898, 1047, 1876, 2481, 3793, 4861, 5981, 7030, 7702, 401, 1933, 2946, 3525, 4374, 6025, 6884, 7677, 216, 1827, 2975, 3826, 4622, 5950, 7086, 8195, 335, 1935, 3095, 4041, 4622, 5219, 6515, 7876, 663, 1755, 2895, 4114, 5104, 6211, 6852, 7806, 571, 1705, 3064, 3710, 5080, 6103, 7006, 7949, 1099, 1945, 2960, 3645, 5159, 6085, 6996, 7421, 142, 1508, 2781, 3367, 4704, 6081, 6752, 7949, 818, 1869, 2991, 3825, 4704, 5241, 6972, 8147, 818, 1622, 3043, 3893, 4888, 6139, 7239, 8196, 818, 1622, 2164, 3945, 5058, 5635, 6786, 8147, 818, 1622, 2164, 3893, 4980, 6139, 6794, 7766, 818, 1648, 2957, 4114, 5038, 6139, 6794, 8147, 488, 1622, 2164, 3893, 4704, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6081, 7226, 7766, 419, 1961, 2729, 3893, 4512, 5241, 7006, 7766, 488, 2017, 3117, 3367, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4704, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 31, 57, 78, 5, 63, 17, 42, 78, 5, 5, 3, 684, 1637, 2980, 3602, 4470, 5893, 7201, 7816, 955, 1771, 2738, 3209, 4853, 6001, 7010, 8237, 1033, 1851, 2695, 4085, 4529, 5590, 6607, 7386, 769, 1557, 2938, 4005, 4833, 5455, 6607, 7718, 784, 1507, 2481, 3356, 5001, 5500, 6934, 8073, 896, 2059, 2355, 3656, 5051, 6135, 6505, 7827, 675, 1948, 2298, 3751, 5188, 5313, 6483, 7822, 1060, 1402, 2574, 4025, 5100, 5518, 6686, 7817, 154, 1318, 2491, 3273, 5100, 6125, 6438, 8129, 723, 1706, 3145, 3356, 4299, 5452, 6304, 7933, 1023, 1582, 2639, 3356, 4595, 6077, 6224, 7396, 737, 1447, 2706, 3962, 4298, 5734, 6583, 8165, 875, 1871, 2655, 3452, 4298, 5827, 7214, 8078, 443, 1582, 2821, 3623, 4401, 5200, 6703, 8139, 399, 1393, 2436, 3934, 4298, 6220, 6442, 7742, 936, 1969, 2706, 3878, 5179, 5643, 6854, 8056, 936, 1706, 2436, 3915, 4784, 5608, 6943, 7427, 217, 1326, 2642, 3892, 4448, 5579, 6675, 7535, 195, 1671, 2920, 3448, 5124, 5325, 6971, 7438, 518, 1978, 2959, 3769, 4512, 5734, 7203, 7612, 225, 1747, 2378, 3171, 4829, 6182, 6584, 8261, 518, 2021, 2506, 4124, 4778, 5678, 6810, 7698, 878, 1918, 3053, 3536, 4974, 5393, 6270, 7313, 1102, 2107, 2905, 4021, 4740, 5656, 7094, 7498, 1084, 1886, 2401, 3934, 5047, 5918, 6241, 7480, 776, 1850, 2352, 3532, 4983, 5565, 6648, 8209, 776, 1455, 2407, 3950, 5068, 6115, 6335, 7516, 887, 1978, 2424, 3401, 4509, 5971, 6472, 8083, 104, 1660, 2183, 3446, 4517, 5643, 7047, 8188, 895, 1326, 3089, 3808, 4340, 5825, 7163, 8202, 895, 1407, 2897, 3408, 4955, 5307, 6873, 7999, 266, 1386, 2609, 3489, 4288, 5768, 7220, 7902, 1036, 1404, 2353, 4120, 4801, 6045, 6477, 7834, 1050, 1865, 3020, 3794, 4765, 5240, 6951, 8031, 636, 1633, 2170, 4015, 4410, 6135, 6617, 7438, 966, 1236, 3040, 3993, 4656, 5745, 6224, 7736, 415, 1529, 2861, 3356, 4637, 5532, 6321, 8056, 212, 1183, 2663, 3699, 4459, 5624, 7016, 7785, 123, 1183, 2903, 3416, 4328, 5518, 7032, 8128, 639, 1213, 3040, 3451, 4232, 6107, 7130, 8068, 508, 1410, 3040, 3764, 5093, 5392, 7102, 8013, 992, 1183, 3101, 3689, 5003, 5787, 6945, 7349, 996, 1299, 3040, 4127, 5128, 5707, 7140, 7687, 992, 1299, 3040, 3909, 4465, 5248, 6299, 8078, 1011, 1686, 2868, 3599, 4784, 6124, 6313, 7618, 512, 1315, 2429, 4127, 4869, 5844, 6615, 7960, 684, 1705, 2783, 3710, 5053, 5883, 6467, 8083, 308, 1562, 2924, 3692, 4942, 5832, 6852, 7949, 955, 2079, 2925, 3909, 5159, 5241, 7084, 7260, 955, 1915, 2352, 3886, 5106, 6211, 6979, 8076, 1056, 1467, 2798, 3961, 4782, 5901, 6515, 8185, 804, 2063, 2895, 4071, 5038, 6103, 7077, 8237, 959, 1570, 2975, 4026, 4215, 5385, 7168, 8267, 552, 1570, 3038, 3662, 4334, 5530, 6732, 7896, 256, 1570, 3042, 3593, 5167, 5344, 6272, 7363, 228, 1876, 2874, 3394, 4638, 5844, 6578, 7530, 654, 2106, 2918, 3914, 4193, 5580, 6607, 7717, 518, 1570, 2560, 3827, 4859, 5677, 6757, 7838, 518, 1971, 2359, 3803, 5159, 5923, 7232, 7477, 228, 1750, 2221, 4125, 4700, 6110, 7006, 8126, 240, 1756, 2469, 3391, 4870, 5514, 6752, 7509, 240, 1488, 2880, 3891, 5168, 5767, 7152, 7706, 256, 2127, 3064, 3873, 4877, 5624, 7152, 7716, 543, 1851, 2554, 3550, 5083, 5767, 6612, 8237, 617, 2127, 2424, 3416, 5135, 5677, 7124, 7509, 555, 1756, 2833, 3891, 4877, 5515, 7207, 7664, 555, 2111, 2221, 4174, 4859, 5689, 7152, 7563, 860, 2017, 2806, 3891, 4704, 6139, 6688, 8147, 860, 2017, 2806, 3825, 4704, 6139, 7124, 8223, 201, 1528, 2164, 3825, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 5635, 7124, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 48, 75, 44, 54, 5, 67, 63, 73, 5, 43, 45, 78, 5, 67, 45, 51, 5, 42, 52, 17, 75, 5, 43, 48, 5, 41, 33, 52, 66, 5, 31, 16, 5, 64, 20, 41, 66, 54, 16, 64, 5, 17, 75, 5, 31, 14, 66, 5, 51, 57, 52, 30, 5, 16, 54, 30, 5, 30, 33, 52, 16, 51, 16, 66, 5, 64, 20, 41, 66, 54, 16, 64, 5, 5, 3, 555, 1289, 2432, 3770, 4939, 5942, 6615, 7962, 915, 2106, 3021, 3803, 5166, 5548, 7100, 7706, 818, 1622, 2949, 3803, 5080, 6182, 6752, 7421, 915, 1851, 2167, 4068, 4888, 6085, 6794, 8147, 408, 2053, 2601, 3430, 5149, 6142, 6612, 7435, 751, 1829, 2817, 3372, 4800, 6116, 6614, 7796, 807, 1583, 2481, 3576, 5151, 6135, 6592, 7480, 769, 1550, 2832, 3307, 4421, 6177, 6425, 8149, 962, 1640, 3091, 3565, 4675, 6135, 6482, 7248, 807, 1583, 3091, 3318, 4184, 5250, 6281, 7820, 1006, 1453, 2595, 3332, 4839, 5826, 7061, 7318, 537, 1770, 2661, 3909, 4729, 5514, 6715, 8151, 1011, 1937, 2771, 3533, 4883, 6202, 6688, 7594, 1067, 1141, 2893, 4025, 4459, 5720, 6929, 7677, 676, 1244, 2491, 3838, 4459, 5256, 7041, 7658, 805, 1327, 2429, 3570, 4866, 5322, 6595, 7982, 1019, 1173, 2521, 3770, 4902, 5245, 6848, 7819, 994, 1246, 2644, 3500, 4464, 5766, 6448, 7580, 344, 1339, 2951, 3216, 4351, 5239, 6358, 7976, 277, 1668, 3091, 3245, 4244, 5298, 6392, 7971, 149, 1770, 2222, 3425, 5138, 5500, 7240, 8101, 685, 1463, 3080, 4130, 4536, 6077, 6309, 7341, 547, 1637, 3080, 3771, 5022, 6119, 6251, 8061, 504, 1141, 2890, 3710, 4205, 5279, 7048, 8126, 304, 1707, 2440, 3978, 4918, 5500, 6870, 7473, 789, 2060, 2766, 3931, 4337, 5943, 6746, 8185, 901, 2024, 2473, 3680, 4762, 5580, 6919, 7410, 256, 1349, 2971, 3364, 4764, 5251, 6417, 8093, 878, 1684, 3053, 3448, 4638, 5589, 6566, 7785, 617, 2065, 3006, 3564, 4775, 5215, 6972, 8057, 942, 1496, 2920, 3832, 4374, 6003, 6672, 7502, 1047, 1510, 2766, 3680, 5061, 6110, 6973, 7498, 1064, 1118, 2629, 3771, 5196, 5790, 7139, 8073, 344, 1173, 2593, 4096, 4358, 5899, 6467, 7311, 864, 1141, 2794, 3791, 4461, 5982, 7096, 7571, 1067, 1621, 2794, 3218, 4487, 5606, 6710, 7902, 266, 1912, 2346, 3566, 5085, 6034, 6803, 7635, 504, 1926, 2953, 3756, 4664, 5462, 6871, 7519, 386, 1814, 2397, 3727, 4783, 5802, 6898, 8018, 211, 1326, 2933, 4135, 4337, 5250, 7086, 7548, 1025, 1531, 3046, 3909, 4242, 5978, 7114, 7477, 784, 1510, 2292, 3582, 4621, 6002, 7059, 8227, 363, 1771, 2448, 3324, 4308, 6002, 6706, 7956, 487, 1691, 2327, 3421, 4929, 6073, 6812, 7971, 807, 1779, 2327, 3307, 4539, 5321, 6829, 8037, 326, 1948, 3029, 3271, 5142, 5814, 6458, 7924, 691, 1938, 2492, 3524, 4644, 5903, 6671, 8092, 317, 1402, 3032, 3776, 4850, 5344, 6530, 7473, 654, 1523, 3000, 3329, 4496, 5875, 6230, 7454, 240, 2002, 2356, 3518, 4216, 6094, 6986, 7716, 127, 1826, 2608, 4006, 4923, 6110, 7205, 7614, 440, 2024, 2542, 3516, 4681, 5968, 6486, 8076, 789, 1452, 2991, 4113, 4870, 6222, 6627, 7887, 617, 2032, 2391, 4124, 4412, 5515, 6263, 8126, 617, 1961, 2554, 3994, 4267, 6175, 7132, 8012, 789, 1961, 2554, 3803, 4918, 6195, 7095, 8236, 789, 1452, 2970, 3470, 5080, 5901, 6889, 8185, 419, 1528, 2554, 3710, 4888, 6182, 7129, 8185, 789, 2078, 2803, 3550, 5135, 5580, 6752, 7806, 475, 1998, 3006, 4174, 4501, 5219, 7239, 8261, 778, 2090, 2833, 3922, 5079, 5581, 6892, 8081, 676, 1882, 2725, 3646, 4924, 5696, 6313, 7864, 964, 1411, 2415, 3394, 5081, 5703, 6710, 7819, 216, 1640, 2163, 3973, 4681, 5672, 6637, 7549, 914, 1871, 2503, 3710, 4918, 6000, 6605, 7870, 914, 2063, 3135, 4162, 4888, 5832, 7069, 7557, 914, 1623, 2975, 4166, 4287, 6175, 7010, 7949, 818, 1175, 2944, 3732, 4287, 6195, 7010, 8066, 818, 2068, 3006, 3516, 5061, 6085, 6709, 7717, 818, 1856, 2164, 4174, 5165, 6186, 6794, 7716, 818, 2017, 2960, 3226, 4624, 6139, 7201, 8223, 818, 2017, 3065, 3440, 4798, 5241, 7239, 8237, 818, 1175, 2991, 3886, 4798, 5241, 7084, 7766, 818, 2017, 3095, 3893, 5165, 5241, 7124, 7766, 935, 2017, 2925, 4068, 4630, 5705, 7239, 8076, 473, 1386, 2868, 3214, 4324, 5893, 6988, 7906, 811, 1833, 2677, 3873, 5138, 6014, 6825, 8049, 105, 1974, 3133, 3983, 4687, 6148, 7114, 7899, 779, 1797, 2895, 4097, 4512, 5534, 7010, 7732, 216, 1682, 2771, 3671, 5079, 5534, 6646, 7563, 955, 1688, 2783, 3710, 4859, 5567, 7023, 8227, 1067, 1996, 2960, 3796, 4215, 6170, 6772, 8061, 249, 1828, 3010, 3418, 4914, 5846, 6611, 7363, 845, 1402, 3137, 3601, 4631, 5568, 6415, 7463, 840, 2120, 2763, 3366, 4930, 5333, 7048, 7954, 884, 1537, 3040, 4053, 4626, 5991, 6563, 8157, 271, 1883, 2956, 3366, 5121, 5787, 7025, 7581, 895, 2061, 2866, 3366, 4515, 6039, 6426, 8255, 895, 2061, 2141, 3549, 4193, 5373, 6474, 7253, 1052, 1703, 3040, 4037, 4905, 5766, 6638, 8262, 271, 1119, 3040, 4164, 4462, 6125, 6690, 7423, 1030, 1346, 3091, 3979, 5064, 5624, 7240, 7977, 778, 1149, 3149, 3366, 4731, 5512, 7202, 7271, 1003, 1850, 3070, 4036, 5056, 5787, 7244, 8124, 235, 1146, 2869, 3773, 4514, 5982, 6237, 7524, 1011, 1833, 2137, 4016, 5026, 6119, 6841, 8139, 663, 1898, 2736, 3350, 4396, 5716, 6939, 8082, 831, 2069, 2152, 3950, 4365, 5899, 6344, 7928, 440, 1649, 3092, 3922, 4949, 6035, 6354, 8062, 1090, 1898, 2797, 4151, 5100, 5841, 6506, 8248, 331, 1881, 2137, 3384, 4364, 5228, 6642, 7535, 708, 1620, 2282, 3314, 5022, 5904, 6369, 7349, 113, 1337, 3061, 3692, 4903, 5825, 7221, 7729, 344, 1531, 2494, 3869, 4364, 5785, 6650, 8070, 1052, 1703, 2464, 3399, 5031, 5810, 7087, 7682, 235, 1489, 2626, 3245, 4812, 6002, 6783, 7693, 308, 2065, 2746, 3394, 5120, 6175, 6574, 7509, 186, 1791, 2949, 4115, 4859, 5385, 7168, 7865, 935, 1874, 2391, 4114, 4287, 6205, 6979, 7948, 935, 1847, 3064, 3886, 5080, 6131, 6996, 7876, 186, 1175, 3006, 3361, 4630, 5241, 6996, 7720, 555, 1620, 3095, 3891, 4888, 6129, 6677, 7806, 552, 1623, 2989, 3407, 5115, 5694, 6584, 7563, 617, 1600, 2970, 3592, 5165, 5651, 7069, 8164, 617, 1684, 2775, 3391, 4762, 6163, 6876, 8164, 617, 2127, 2370, 3552, 5134, 5515, 7103, 7878, 617, 1345, 3064, 3391, 5160, 6149, 7152, 8261, 105, 2106, 2566, 4168, 5160, 5901, 7024, 7559, 617, 1147, 2970, 4166, 4459, 5276, 6251, 7706, 617, 1345, 3064, 3550, 4681, 5901, 6584, 8130, 859, 2002, 2941, 4145, 4681, 5901, 6909, 7260, 105, 1623, 2833, 4125, 4681, 6211, 7100, 7732, 105, 1684, 3147, 3550, 4555, 5901, 6772, 7303, 859, 1623, 2542, 3914, 4512, 5677, 6810, 7806, 105, 1147, 3147, 3566, 5083, 5385, 7120, 7485, 859, 2127, 2138, 3891, 5124, 6205, 6604, 8080, 915, 1876, 2970, 3391, 5166, 5677, 6996, 7732, 915, 1623, 2138, 4071, 5134, 5493, 7129, 7677, 142, 1622, 2914, 3825, 4366, 6139, 7077, 8147, 956, 1381, 3065, 4174, 5076, 5340, 6604, 7949, 183, 1685, 2953, 3826, 4784, 5792, 7207, 8016, 138, 1556, 2675, 4145, 4421, 5202, 6680, 7714, 346, 1164, 2464, 3224, 4421, 5780, 6525, 7627, 487, 1388, 3129, 3394, 4620, 5773, 6849, 7973, 893, 1834, 3033, 4000, 4873, 5262, 6348, 7756, 887, 1388, 2565, 3771, 4321, 6050, 6529, 8193, 1033, 1889, 2728, 3827, 4762, 5706, 6446, 7889, 518, 1525, 2798, 3487, 5095, 5413, 7014, 8266, 878, 2030, 3092, 3662, 4427, 5500, 7084, 7732, 475, 1600, 2473, 3983, 5104, 5276, 7098, 7485, 756, 2030, 2369, 3188, 5088, 6129, 7129, 8252, 878, 1791, 2473, 3914, 4276, 5515, 6979, 8195, 256, 1998, 2970, 3803, 4398, 5216, 6909, 7557, 901, 1452, 2775, 3566, 5106, 6101, 6677, 7574, 757, 1527, 2991, 3470, 4350, 5858, 7049, 7965, 216, 2085, 2987, 4074, 4724, 5844, 6338, 7515, 685, 2065, 2282, 3882, 4226, 5773, 6659, 7277, 875, 1984, 2869, 3848, 4305, 6054, 7154, 7733, 900, 1302, 2869, 3290, 4264, 5226, 6963, 7611, 840, 1503, 2857, 4038, 4690, 5624, 7082, 7378, 271, 1183, 2355, 3451, 4208, 5948, 6846, 7450, 223, 1157, 2726, 3366, 4518, 5684, 6663, 7846, 940, 1318, 3066, 3371, 4318, 5792, 6791, 8218, 959, 1318, 2746, 3886, 4856, 6205, 6809, 8157, 956, 1675, 3135, 3803, 5060, 5630, 7218, 8172, 1097, 1851, 2991, 3240, 5061, 5630, 7084, 7895, 915, 1851, 2803, 4071, 4398, 5219, 6515, 8260, 915, 1851, 2991, 4071, 4398, 6186, 6752, 7876, 915, 1851, 3144, 3886, 4704, 5534, 7077, 8147, 789, 2097, 3110, 4113, 4287, 5493, 6709, 8083, 899, 1998, 2473, 3188, 5079, 5705, 6273, 7574, 899, 1509, 3144, 3726, 4709, 5901, 6604, 7992, 948, 1668, 2869, 4155, 4993, 5778, 7025, 7677, 731, 1315, 3040, 4078, 5085, 5840, 6901, 8236, 987, 1759, 2869, 3237, 4859, 5613, 6486, 7483, 317, 1388, 2349, 4135, 4615, 5734, 6877, 7383, 225, 1139, 2932, 3838, 4863, 5923, 6713, 8034, 518, 1749, 2775, 3966, 4623, 5413, 6709, 7303, 654, 1736, 3040, 3891, 4638, 5352, 7207, 7660, 240, 1971, 2473, 3394, 4611, 6120, 7232, 7318, 518, 2002, 2869, 3873, 4877, 5385, 6612, 7563, 518, 1252, 2761, 4166, 5157, 5296, 6809, 7776, 518, 1749, 2432, 3272, 5143, 5581, 7232, 7838, 518, 2127, 2562, 3917, 5135, 6110, 6607, 8076, 518, 1750, 2791, 3931, 5159, 5677, 6996, 8041, 518, 1304, 2221, 3503, 5143, 5210, 6335, 7631, 317, 1468, 2803, 3376, 5086, 5811, 7103, 7799, 831, 2085, 2598, 3291, 5145, 5386, 6770, 7296, 360, 1723, 2365, 3676, 4440, 5899, 6516, 7558, 805, 1217, 2455, 3254, 4272, 5393, 7033, 7966, 864, 1179, 2455, 3736, 4717, 5720, 6373, 7524, 242, 1778, 2667, 3577, 4567, 5864, 6485, 8134, 1024, 1503, 2385, 3736, 4585, 6119, 7194, 7810, 643, 1325, 2347, 3578, 4429, 5824, 6516, 7312, 110, 1499, 2869, 3676, 4214, 6070, 6777, 7494, 899, 2098, 3149, 3277, 4398, 5598, 7160, 8261, 518, 1525, 3007, 4092, 4513, 6063, 7047, 7717, 240, 2030, 2469, 4078, 5128, 6084, 6786, 7865, 440, 1332, 2679, 3230, 4181, 5650, 6963, 7838, 256, 1851, 2970, 3364, 5088, 5515, 7006, 8061, 105, 2097, 2944, 3726, 5104, 5385, 6972, 7476, 201, 2097, 3065, 4071, 5060, 6103, 7239, 8260, 186, 1467, 2806, 4108, 5060, 6085, 6972, 8260, 427, 1467, 2996, 3914, 5061, 5694, 6787, 8260, 304, 1508, 2254, 3498, 5166, 6123, 6752, 8076, 149, 1889, 2720, 3213, 4546, 5210, 7044, 7664, 731, 1498, 2346, 3483, 4638, 5514, 6602, 7677, 938, 1480, 2346, 3916, 4788, 6085, 6376, 7623, 938, 1171, 2534, 3687, 4813, 6135, 6732, 7872, 952, 1363, 2156, 3483, 4346, 6063, 7202, 7697, 225, 1540, 2188, 3413, 4727, 5512, 6967, 8033, 225, 1758, 2554, 3983, 5096, 5352, 6762, 7664, 195, 1806, 2692, 3956, 4278, 5600, 7237, 7939, 228, 1851, 2830, 3323, 5127, 5514, 6704, 7776, 518, 1750, 3133, 3592, 4555, 5899, 6292, 7707, 518, 2077, 2729, 3933, 4536, 5870, 7221, 7920, 256, 2068, 2466, 3798, 4513, 5874, 6627, 8266, 105, 2061, 3026, 3470, 4329, 5543, 7241, 8211, 204, 1463, 2404, 3680, 4449, 5633, 6605, 7908, 840, 1830, 2309, 4079, 4543, 6136, 6692, 7260, 271, 1603, 2309, 3399, 4848, 5719, 6683, 7252, 373, 1682, 2316, 3702, 4697, 5530, 6776, 7473, 887, 1682, 3048, 3652, 4506, 5893, 6364, 7816, 304, 1707, 2515, 3350, 4496, 5713, 6373, 7686, 390, 1851, 3008, 3440, 4215, 5678, 7098, 8093, 899, 1675, 2783, 4096, 4398, 6085, 7160, 8085, 440, 1459, 3135, 3231, 5103, 5514, 6668, 7631, 256, 1919, 3053, 3364, 5095, 5953, 6566, 8083, 113, 1705, 2254, 3595, 5120, 5607, 6710, 7717, 492, 1248, 2344, 3531, 4305, 5887, 6612, 7973, 247, 1168, 2626, 3965, 4887, 5567, 7042, 8075, 247, 1609, 2562, 3394, 4616, 5495, 7154, 7680, 1041, 1897, 3116, 3651, 5125, 6083, 6963, 8127, 1052, 1471, 2146, 3552, 4992, 5602, 6675, 7518, 844, 1553, 3070, 3370, 4321, 5821, 7170, 7401, 419, 1974, 2498, 3994, 4981, 5219, 6872, 7932, 935, 1534, 3109, 3987, 4533, 5635, 6809, 7895, 935, 1620, 2391, 4166, 4447, 6195, 6996, 7658, 186, 1528, 3008, 3990, 4888, 5635, 7090, 8080, 488, 1528, 2806, 4108, 4704, 5340, 7124, 8179, 818, 2041, 2806, 3226, 5080, 5635, 7201, 7949, 818, 2046, 2957, 4018, 4704, 5832, 7226, 8223, 1097, 2017, 3135, 3893, 4551, 6205, 6972, 7806, 100, 1396, 2340, 3904, 4549, 5597, 6289, 7503, 508, 1141, 2893, 4046, 4875, 5959, 6583, 8010, 811, 2061, 2430, 4027, 4638, 5764, 6254, 7991, 110, 1585, 2137, 3535, 4831, 6032, 7090, 8240, 337, 1468, 2904, 4113, 4781, 5678, 6623, 8132, 512, 2032, 3060, 3391, 4912, 5534, 6367, 7794, 223, 1598, 2985, 4067, 4179, 5264, 7095, 7865, 1067, 1113, 2691, 3221, 5066, 5298, 7168, 7791, 547, 1513, 2476, 3394, 4767, 5205, 6535, 7521, 1024, 1543, 2869, 4136, 4616, 5592, 7047, 7625, 386, 1503, 2313, 3176, 4981, 6179, 7193, 8229, 1029, 1503, 2502, 4087, 4901, 5658, 6851, 8069, 504, 1503, 2561, 3639, 5079, 5378, 7048, 7954, 643, 1812, 2869, 3637, 5026, 5590, 6456, 7962, 504, 1503, 2357, 3931, 4494, 5955, 6772, 7690, 643, 1984, 2520, 3602, 4588, 5515, 6408, 7865, 401, 1468, 3121, 4093, 4181, 5532, 7006, 7311, 1081, 1468, 2754, 4027, 4473, 5378, 7119, 8226, 1025, 1665, 3037, 3391, 4867, 6105, 7047, 7720, 643, 1897, 2444, 4017, 4593, 5935, 7095, 7602, 678, 2033, 2586, 3676, 4325, 5893, 6898, 7361, 150, 2035, 2981, 3374, 5061, 5314, 7044, 7706, 1025, 1867, 2465, 3742, 5176, 5587, 7045, 8168, 1025, 1624, 2985, 3191, 4292, 5732, 6961, 8066, 643, 1919, 2789, 4133, 4512, 6111, 6370, 7918, 1090, 1518, 3060, 3766, 5104, 6017, 6750, 7360, 1090, 2089, 2151, 3977, 4381, 5684, 6338, 7384, 1090, 1477, 2970, 3880, 4966, 5866, 7173, 7555, 1025, 2050, 3033, 3213, 5075, 6005, 7060, 7895, 1029, 1469, 2728, 3201, 4651, 5866, 6566, 8069, 104, 1146, 2361, 3556, 4273, 5567, 6514, 7563, 104, 2056, 3003, 3564, 4271, 5699, 6685, 7290, 776, 1871, 3092, 3516, 4324, 6218, 6966, 8193, 684, 1930, 2340, 3838, 4334, 5705, 6584, 8093, 779, 1330, 2975, 4152, 4895, 5694, 6752, 7631, 620, 1252, 2401, 3304, 4607, 5893, 6715, 7869, 778, 1557, 2587, 4128, 4667, 5512, 6762, 7785, 992, 2036, 2724, 3234, 4525, 5874, 7066, 7441, 961, 1248, 2151, 4162, 4344, 5341, 6632, 7732, 211, 1349, 2294, 3493, 4978, 5630, 6614, 7908, 804, 1534, 2970, 3917, 5106, 6146, 6668, 7563, 488, 1844, 3135, 3440, 5058, 5678, 7168, 7570, 956, 1620, 3128, 4108, 4888, 6051, 7239, 7421, 818, 2000, 2925, 3710, 5038, 6205, 7124, 8195, 1099, 2017, 3006, 4174, 4366, 6129, 7084, 7876, 1099, 1528, 2925, 3188, 4512, 5241, 6752, 8179, 105, 2106, 3065, 4068, 5160, 5901, 7095, 7732, 617, 1695, 3046, 3680, 4615, 5677, 7218, 7865, 617, 2127, 2806, 3391, 5160, 6137, 6251, 8164, 617, 1147, 2345, 3914, 5190, 5385, 6752, 7303, 617, 1600, 2833, 3425, 5165, 5811, 6895, 7831, 617, 1750, 2554, 3374, 4555, 6149, 7091, 7717, 617, 2127, 3144, 3391, 4590, 6052, 7069, 7276, 617, 1147, 2858, 3550, 5190, 5840, 6810, 7485, 617, 1695, 3021, 3217, 4583, 5296, 6996, 8237, 105, 1147, 2340, 3550, 5190, 5385, 7077, 7715, 105, 1147, 2970, 3550, 4583, 5385, 7091, 7485, 105, 1147, 2839, 4068, 4555, 5219, 7091, 7563, 617, 1147, 2970, 3931, 4399, 5811, 7120, 7485, 859, 1345, 2579, 3550, 5159, 5515, 7077, 8126, 859, 2032, 3143, 3827, 4727, 5223, 7160, 7865, 859, 1248, 2792, 3931, 5060, 5223, 7152, 8266, 859, 1564, 2880, 3277, 4583, 5844, 6988, 7303, 860, 1622, 2833, 3803, 4387, 6081, 7226, 8237, 915, 1623, 2709, 4174, 4423, 5635, 6589, 8147, 915, 2017, 2806, 4145, 4798, 5635, 7077, 8223, 899, 1705, 3043, 3914, 4890, 5767, 6979, 7706, 735, 1332, 2669, 3720, 4453, 6103, 6426, 7879, 962, 1689, 2953, 3514, 4734, 5923, 6816, 8239, 572, 1185, 2167, 3366, 4641, 5348, 6755, 8154, 448, 2001, 2748, 3676, 4495, 6118, 6701, 7348, 223, 1494, 2373, 3807, 5167, 5792, 6408, 7362, 678, 2033, 3089, 3472, 4179, 6000, 7198, 7929, 887, 2033, 2352, 3410, 4359, 6181, 6895, 7794, 887, 1717, 2924, 3201, 4985, 5500, 7230, 7317, 887, 1682, 2989, 3707, 4592, 5765, 6579, 8107, 104, 1717, 3095, 4152, 4877, 5749, 7047, 8074, 1090, 1494, 2924, 3869, 4179, 5687, 7149, 7918, 663, 1350, 2401, 3918, 4900, 5890, 6393, 8188, 390, 1881, 3135, 3188, 4861, 5883, 7111, 7641, 308, 1175, 2975, 4068, 4536, 5694, 6688, 7876, 1099, 1508, 2803, 3909, 4551, 5978, 7239, 8260, 804, 1791, 2803, 4108, 5166, 6129, 6988, 8267, 308, 1791, 3064, 3226, 4912, 5883, 6996, 7949, 1056, 1540, 2838, 3710, 4366, 5883, 7201, 8066, 901, 1370, 2988, 3178, 4437, 6034, 6477, 7717, 927, 2009, 2239, 3352, 4882, 5504, 7075, 7913, 807, 1140, 2687, 3877, 4613, 5396, 7025, 8117, 1004, 1564, 3097, 3479, 4683, 5417, 6614, 7634, 1060, 1249, 3085, 3882, 4701, 5224, 6309, 7378, 154, 1345, 2559, 3486, 4205, 6037, 6783, 8149, 137, 1426, 2869, 3639, 4321, 6125, 6779, 7844, 840, 1503, 2751, 3238, 4274, 5674, 6679, 7889, 996, 2036, 3040, 3981, 4357, 5719, 7000, 7739, 508, 1369, 2660, 3717, 4824, 5341, 6370, 8103, 913, 1926, 2887, 3154, 4607, 5441, 6457, 8213, 970, 1897, 2173, 3582, 4436, 5594, 7043, 7620, 951, 1519, 3145, 3314, 4589, 5461, 6967, 7557, 913, 1467, 2163, 3271, 5138, 6184, 7111, 8082, 913, 1724, 2926, 3370, 4927, 5291, 6466, 7687, 1100, 1510, 2751, 3508, 4927, 6024, 7067, 7986, 397, 1472, 3036, 3472, 5069, 5578, 7156, 8060, 862, 1397, 2655, 3449, 4926, 5745, 6385, 7887, 663, 1561, 2736, 4080, 5110, 6135, 6883, 8117, 818, 1747, 2925, 3909, 4622, 5493, 6809, 8080, 914, 1963, 2991, 4145, 4681, 6128, 7084, 7485, 308, 1600, 2996, 3914, 4918, 6211, 6604, 8076, 935, 1847, 2803, 4006, 5129, 5767, 6566, 7949, 421, 1601, 2665, 3518, 4727, 5536, 6923, 7260, 617, 1856, 3135, 3443, 4918, 6050, 7241, 7948, 204, 1935, 2327, 3533, 4606, 5749, 6551, 7673, 1067, 1510, 2239, 3372, 4895, 6034, 6458, 8240, 314, 1794, 2271, 4137, 4571, 5810, 6803, 7524, 825, 2001, 3126, 3417, 5164, 5794, 6692, 7983, 453, 1821, 2328, 3855, 5031, 5573, 6286, 7906, 1099, 2097, 2783, 3866, 5104, 5635, 7207, 7485, 935, 1791, 2880, 3945, 4912, 5635, 7239, 8260, 256, 1964, 2473, 3374, 5080, 6007, 6623, 8046, 195, 1949, 3021, 3417, 4638, 5963, 7095, 8034, 127, 2118, 3144, 3555, 4287, 5650, 6768, 7749, 195, 1935, 2839, 3930, 5127, 5908, 7239, 8126, 195, 1750, 2181, 3376, 4181, 5963, 7058, 8126, 654, 2106, 2554, 4071, 5193, 5210, 6604, 8262, 654, 2111, 2282, 3857, 4601, 5580, 7090, 7939, 654, 2106, 2729, 3966, 5135, 5672, 6515, 8066, 240, 2061, 3133, 3711, 4638, 5892, 6889, 7707, 228, 2108, 3091, 3550, 4387, 5582, 6260, 8130, 1015, 1756, 2554, 3838, 5168, 6109, 7120, 8066, 216, 1523, 3147, 3586, 4918, 5863, 6540, 8061, 893, 1149, 3003, 3218, 4316, 6117, 7174, 7872, 840, 1632, 2849, 4139, 4229, 5321, 6806, 8177, 485, 2036, 2599, 3394, 4514, 6121, 6851, 7954, 113, 1898, 2705, 3855, 4414, 5955, 6710, 7762, 448, 1582, 2363, 3855, 4495, 5906, 6708, 7869, 373, 1906, 3090, 3601, 4844, 5863, 6526, 7854, 980, 1833, 3108, 4067, 5124, 5230, 7039, 7456, 1090, 1963, 2316, 3842, 4867, 5500, 7004, 7807, 518, 2098, 3110, 3746, 5139, 5360, 6435, 7577, 518, 1750, 2181, 3364, 4775, 6062, 6338, 7631, 518, 2030, 2729, 3891, 4459, 5865, 6869, 7776, 518, 1108, 2468, 3914, 5080, 5844, 6889, 7485, 789, 1648, 3110, 3891, 4398, 5241, 7207, 8130, 256, 1851, 2946, 3825, 5138, 5963, 6291, 7485, 555, 1752, 2946, 3914, 4513, 6137, 7077, 7865, 860, 2017, 2806, 4018, 4704, 6085, 6972, 8260, 684, 1991, 3022, 4145, 5106, 6129, 7058, 7715, 684, 1218, 3064, 4113, 5058, 6129, 6607, 7715, 216, 1402, 2783, 4114, 4398, 5661, 6901, 7421, 887, 1773, 2638, 3957, 4531, 6205, 6830, 7943, 304, 1280, 2473, 4145, 4307, 6146, 7084, 8179, 448, 1762, 2436, 3445, 4181, 5616, 7090, 7441, 448, 1887, 2725, 4025, 4459, 6026, 7004, 8058, 884, 1653, 2181, 3309, 4613, 5244, 6238, 8035, 662, 1349, 3074, 3895, 5090, 5952, 6577, 7362, 692, 1706, 2871, 3347, 4644, 5484, 6959, 8061, 265, 1146, 2327, 3533, 4214, 5480, 6657, 7997, 981, 1938, 2327, 3731, 5091, 5810, 6775, 7648, 715, 1653, 2561, 3446, 4935, 5205, 6757, 7554, 228, 1550, 2175, 3891, 5160, 5610, 6715, 7906, 225, 1570, 2565, 3364, 5127, 5684, 6296, 7291, 654, 1826, 2918, 4149, 4877, 6085, 6757, 7715, 654, 1684, 2565, 3879, 4423, 5210, 6528, 7723, 518, 2118, 3052, 3866, 5160, 5811, 7010, 8061, 228, 2111, 2725, 4113, 4681, 5580, 6604, 8266, 228, 2111, 2221, 3648, 4536, 5795, 7085, 7549, 228, 2111, 3147, 3595, 4762, 5755, 6338, 8102, 228, 1490, 2669, 3518, 4870, 6110, 7090, 8236, 228, 2111, 2953, 3873, 5097, 5963, 6724, 8130, 228, 2111, 2355, 4125, 4870, 5413, 7024, 8227, 228, 1510, 2880, 3394, 4423, 5802, 6515, 7509, 228, 2118, 3147, 3595, 5053, 5840, 7024, 7664, 543, 2111, 2944, 3394, 5168, 5223, 7152, 8147, 617, 2061, 2788, 3623, 5168, 5689, 6740, 7706, 555, 2111, 2554, 3595, 5120, 6175, 7129, 8237, 818, 2111, 3117, 4145, 4890, 5677, 6810, 8237, 488, 2017, 2806, 3825, 4624, 5677, 6996, 7715, 488, 2017, 3117, 3367, 4624, 6186, 7077, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8196, 488, 2017, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2164, 3893, 4624, 5635, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 77, 73, 5, 11, 63, 5, 31, 16, 5, 57, 54, 52, 47, 5, 76, 17, 54, 5, 76, 48, 5, 51, 14, 54, 5, 66, 63, 17, 64, 66, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5219, 7124, 8147, 915, 1851, 2806, 4170, 4551, 5612, 6840, 8147, 756, 1919, 2601, 3905, 4521, 5603, 6413, 8079, 582, 1836, 2798, 4015, 5151, 6084, 7128, 8031, 582, 1340, 3074, 3714, 5001, 5976, 6731, 8225, 545, 1174, 2142, 3537, 4364, 5925, 6883, 7279, 807, 2008, 3074, 3613, 4777, 5696, 6293, 8075, 499, 1985, 2950, 3159, 4911, 5224, 7072, 7467, 660, 1550, 2387, 3434, 4400, 5899, 6553, 7558, 346, 1834, 2595, 3939, 4966, 5361, 7109, 7873, 668, 1333, 2867, 4080, 4985, 5711, 6504, 7393, 1036, 1252, 2134, 3457, 4344, 5913, 6263, 7896, 92, 1826, 2868, 3732, 4620, 6221, 6234, 7677, 1009, 1840, 2923, 3682, 4337, 5558, 6765, 8114, 1009, 1199, 2832, 3721, 4499, 5613, 7200, 7510, 1009, 1469, 2491, 3779, 4365, 5454, 6466, 7800, 360, 1469, 2911, 3741, 4656, 5457, 6263, 8087, 728, 1110, 3070, 3302, 4656, 6135, 6866, 7442, 86, 1814, 2366, 3750, 4581, 6130, 7073, 8149, 349, 1548, 2446, 3757, 4364, 5297, 6583, 7739, 442, 1588, 2301, 3279, 4873, 5224, 6703, 8144, 947, 1134, 2393, 3356, 4506, 5976, 6485, 7534, 249, 1828, 2915, 3925, 4248, 5976, 6663, 7737, 363, 1651, 2173, 4004, 4351, 5867, 6536, 7558, 610, 1826, 2688, 4128, 4375, 5846, 6324, 7774, 288, 1499, 2282, 3692, 5040, 6204, 6299, 8205, 610, 2065, 3043, 3835, 4256, 5519, 6410, 7402, 1057, 1206, 2875, 3395, 5088, 5265, 6571, 8135, 1023, 1283, 3037, 3331, 5117, 5298, 6870, 8128, 557, 1695, 2610, 3286, 4539, 5724, 7024, 7369, 896, 1289, 3029, 3552, 4665, 5780, 6816, 8168, 1004, 1289, 3126, 3172, 4818, 5441, 6844, 7475, 737, 1942, 2988, 3167, 4446, 5224, 7224, 7355, 896, 1976, 2751, 3331, 5134, 5584, 6933, 8234, 1017, 1708, 2946, 3515, 4776, 5547, 6492, 7875, 249, 1507, 2671, 3576, 4654, 5863, 7112, 7873, 339, 1167, 2282, 4127, 4545, 5530, 6885, 7904, 266, 1740, 2937, 3701, 4321, 5295, 6689, 8039, 728, 1855, 2581, 3952, 4946, 5745, 6419, 8140, 1036, 1723, 2937, 3356, 4458, 5713, 6828, 7791, 938, 1446, 3074, 3295, 5121, 5390, 6710, 7904, 948, 1988, 2142, 3561, 5110, 6133, 6514, 8061, 1003, 1251, 2142, 3956, 4428, 5982, 6522, 8026, 335, 1922, 2658, 3220, 5072, 5924, 6719, 8135, 731, 1315, 2236, 3771, 4933, 6012, 6840, 8045, 1067, 1633, 2742, 4029, 4952, 5602, 6945, 7837, 391, 1189, 2347, 3716, 4763, 5774, 7043, 7563, 391, 1244, 2282, 3963, 5108, 5738, 7041, 7530, 986, 1450, 2667, 3943, 5170, 5449, 6820, 7491, 996, 1711, 2951, 3796, 5121, 6220, 6633, 7410, 992, 1652, 2327, 3293, 4205, 5717, 6730, 7881, 495, 1711, 2395, 3605, 4525, 5246, 6403, 7879, 987, 1640, 2595, 3298, 4534, 6217, 6924, 7521, 1084, 2061, 3063, 4029, 4985, 5386, 7129, 7535, 948, 1463, 2595, 4139, 4502, 5431, 6840, 7727, 335, 1641, 3020, 3378, 4852, 5954, 6570, 7678, 731, 2115, 2444, 3873, 4721, 5995, 6515, 7677, 537, 1705, 2754, 3355, 4861, 5834, 7087, 7544, 304, 1820, 2171, 4145, 4639, 6070, 7120, 7641, 767, 1623, 2254, 3866, 4374, 6114, 6715, 7677, 1047, 1812, 2946, 3637, 4620, 5832, 6809, 8107, 938, 1318, 2247, 3420, 5084, 5496, 7244, 7741, 864, 2008, 2595, 3981, 5041, 5315, 6883, 8230, 1067, 1469, 3011, 3837, 4468, 6130, 6262, 7790, 604, 2050, 2546, 3685, 4776, 5473, 6985, 8069, 449, 2050, 2697, 3924, 4487, 6179, 6293, 7266, 604, 1659, 2835, 3952, 4984, 5458, 6969, 7401, 584, 1419, 2275, 3614, 4477, 6154, 6905, 7639, 1067, 1740, 2461, 3520, 4356, 5512, 7186, 7395, 1070, 1183, 3010, 4022, 4539, 6035, 6596, 7726, 247, 1398, 2623, 3934, 4364, 5337, 6357, 7622, 845, 1408, 2373, 3556, 4660, 5941, 6637, 7596, 508, 1808, 2782, 3175, 4532, 5454, 6706, 7973, 104, 1345, 2580, 3956, 4274, 5658, 6674, 8095, 1090, 1141, 2998, 3195, 5017, 5614, 6579, 7901, 1025, 1773, 2352, 3756, 4780, 5294, 6566, 7677, 1025, 1867, 2436, 3233, 4780, 6025, 6967, 8174, 1025, 1867, 3092, 3870, 4670, 5844, 7058, 7602, 1025, 1867, 2946, 3643, 5100, 6205, 6884, 7476, 993, 2035, 2436, 3991, 4849, 5515, 6980, 7648, 1025, 1238, 2258, 4168, 4374, 5496, 7041, 7482, 610, 1939, 2998, 3992, 4318, 5245, 6571, 7476, 610, 1939, 2998, 4029, 5063, 5777, 7095, 7846, 610, 1939, 2998, 3876, 4987, 5853, 7100, 8054, 993, 2048, 2207, 3551, 4268, 6214, 7057, 7284, 1023, 1655, 3066, 3581, 4596, 5921, 6923, 7751, 363, 1283, 2292, 4007, 4231, 6135, 6413, 8149, 1004, 1550, 2401, 3329, 4598, 5339, 6252, 7954, 545, 2009, 2327, 3329, 4402, 6118, 6888, 8019, 103, 1682, 2311, 3888, 5001, 5810, 6861, 7291, 804, 2068, 2429, 3407, 4555, 5223, 6991, 7770, 555, 1147, 3110, 3710, 5088, 6051, 7111, 8261, 757, 1108, 3133, 3643, 4691, 5250, 6465, 8076, 541, 1831, 2345, 3994, 5138, 5980, 6486, 7259, 256, 1289, 3133, 3592, 5073, 6149, 6822, 7394, 731, 1834, 3043, 3732, 4423, 5352, 6731, 7563, 781, 1543, 2332, 3248, 4606, 5441, 7140, 7469, 1023, 1241, 3097, 3441, 4918, 6121, 6895, 7656, 401, 1672, 2659, 3233, 4179, 5633, 6436, 7557, 223, 1812, 3033, 3910, 4601, 5574, 6810, 8214, 504, 1302, 2924, 3605, 5183, 5970, 6777, 7548, 1033, 1708, 2708, 3559, 5193, 6162, 6579, 7807, 308, 1850, 2730, 3990, 4586, 5550, 7058, 8267, 967, 1601, 2803, 3662, 4822, 5568, 7098, 7604, 421, 2060, 2654, 3870, 4411, 5216, 6879, 8080, 334, 1935, 2792, 3930, 4470, 5689, 6607, 8173, 568, 1435, 2250, 3648, 4443, 5239, 7017, 7918, 579, 2060, 2309, 3798, 4409, 5595, 6350, 7754, 473, 1403, 2868, 4011, 4867, 5677, 6362, 8126, 223, 1966, 2860, 4101, 4403, 5981, 6966, 7720, 1066, 1294, 2532, 3307, 4425, 5926, 6619, 8215, 631, 1512, 2813, 3458, 4364, 6042, 6256, 7906, 339, 1141, 3047, 3936, 4591, 5570, 7186, 7250, 482, 2094, 2748, 3175, 4321, 5981, 7112, 8109, 980, 1607, 2344, 4026, 4885, 5950, 6933, 7549, 891, 2065, 2547, 3332, 4647, 5784, 6464, 7859, 940, 1202, 2429, 4136, 4856, 5624, 6540, 7619, 684, 1304, 2293, 4025, 4437, 5896, 6458, 7720, 484, 1675, 2775, 3413, 5127, 5500, 6776, 7651, 617, 1311, 3000, 3550, 5088, 5436, 7058, 8076, 225, 1147, 2880, 4006, 4398, 5385, 6291, 7631, 195, 2002, 2554, 3470, 5075, 5223, 6738, 7717, 225, 2060, 3064, 3592, 4181, 6149, 6757, 8195, 225, 1424, 2971, 4157, 4941, 5219, 6612, 8130, 228, 2060, 2316, 3931, 4877, 5811, 6889, 7252, 228, 1851, 3040, 3838, 4398, 6041, 6840, 8118, 789, 1756, 2554, 4113, 5159, 5241, 6738, 7806, 419, 1851, 3065, 3595, 5159, 5241, 6604, 7781, 789, 1750, 3133, 3914, 4398, 5241, 6889, 8261, 240, 1750, 2560, 3394, 4798, 5438, 7201, 7509, 518, 1750, 2970, 3595, 5135, 5493, 6604, 8164, 225, 2088, 2725, 3687, 4240, 6175, 6302, 7778, 617, 1623, 2833, 3550, 4764, 6097, 6677, 7549, 555, 2111, 2833, 3914, 4622, 5223, 7129, 7477, 797, 1528, 3117, 4145, 5138, 6205, 6584, 7716, 860, 1528, 2914, 3825, 4624, 6139, 7207, 8223, 860, 2017, 2806, 3893, 4704, 6139, 7124, 8223, 860, 1528, 2164, 3825, 4624, 6139, 7124, 7766, 142, 1528, 2806, 3893, 4704, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 488, 2111, 3065, 3827, 4583, 6186, 6589, 8196, 915, 1147, 2833, 4168, 4798, 6139, 6996, 8223, 142, 1528, 2914, 3893, 4704, 5550, 7207, 8223, 142, 1622, 2914, 3825, 4798, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 4, 2 ]

[ 1, 76, 11, 54, 66, 5, 17, 75, 5, 53, 77, 73, 29, 16, 76, 16, 52, 5, 54, 11, 52, 16, 50, 5, 5, 3, 955, 1407, 3098, 3922, 5159, 5981, 7114, 8130, 678, 1333, 2868, 3826, 4598, 6000, 7221, 7816, 216, 1682, 2925, 4011, 4212, 5944, 6501, 8236, 731, 1175, 2860, 3981, 5073, 5804, 6658, 8078, 767, 1251, 2731, 3840, 4621, 5491, 6677, 8188, 1008, 1668, 2653, 3520, 4441, 5216, 6889, 8250, 83, 1383, 3119, 3880, 4971, 5366, 6847, 7983, 636, 1251, 2314, 4142, 5031, 5414, 7169, 7900, 472, 2067, 2894, 4034, 4273, 6135, 6818, 8047, 428, 1524, 2966, 3934, 4417, 5809, 6635, 8033, 584, 1469, 2407, 3974, 4354, 5934, 6555, 7414, 595, 1713, 2653, 3880, 4675, 5813, 7198, 7286, 508, 1982, 2713, 3967, 4271, 6222, 6693, 8149, 203, 1407, 2776, 3416, 4409, 5380, 7140, 7650, 803, 1440, 2446, 3386, 4567, 5823, 6487, 8019, 1057, 2050, 2759, 3583, 4352, 5810, 6648, 7909, 645, 1335, 2250, 3743, 4626, 5448, 6352, 8098, 663, 1145, 2506, 3392, 4518, 6002, 7183, 8083, 940, 1932, 2299, 4135, 4622, 6131, 6750, 7704, 211, 1881, 2998, 3866, 4573, 5565, 6265, 8188, 1037, 2035, 2336, 3188, 4589, 5687, 7132, 7421, 512, 2041, 3143, 3188, 5106, 6051, 6979, 8107, 510, 1963, 3008, 3866, 4713, 6182, 6588, 7846, 1015, 1508, 2383, 4151, 4762, 5942, 6354, 7959, 518, 1178, 3040, 3391, 4219, 6007, 6840, 7881, 183, 1304, 3032, 4171, 5079, 5761, 6776, 8083, 183, 1332, 2729, 3391, 5079, 6007, 6702, 7421, 859, 1304, 2746, 3277, 4512, 6182, 7207, 7806, 337, 2111, 2730, 3914, 4780, 6146, 6584, 7806, 186, 2111, 2880, 4071, 4780, 6081, 7132, 7717, 488, 2017, 3117, 3803, 4583, 5705, 7201, 7806, 488, 1622, 2806, 3710, 4624, 6139, 7201, 8185, 488, 2017, 3117, 3367, 4624, 6103, 7124, 8223, 488, 1622, 3117, 3367, 4624, 6139, 7239, 7766, 488, 1528, 2781, 3893, 4624, 5901, 7124, 7766, 186, 2111, 2164, 3825, 4798, 5635, 7077, 8223, 488, 1528, 2914, 3893, 4624, 6081, 7124, 8147, 419, 1851, 2164, 3914, 4822, 5241, 6786, 8196, 1003, 1898, 2836, 4093, 4716, 5398, 6792, 7862, 1045, 1183, 2301, 3790, 4761, 6138, 6828, 7765, 660, 1926, 3001, 3924, 4591, 5986, 6403, 8222, 908, 1898, 2137, 3779, 5086, 5603, 6326, 7702, 759, 1335, 2137, 4029, 4212, 5208, 7198, 7358, 304, 1350, 2895, 3176, 4780, 5427, 6786, 8085, 390, 1724, 2895, 3649, 4573, 5600, 6467, 7798, 390, 1851, 3149, 3838, 5169, 5978, 7100, 8061, 955, 1937, 2254, 3550, 4641, 5436, 6352, 7602, 304, 1269, 2975, 3916, 4448, 6198, 6251, 7397, 390, 1455, 2946, 3671, 4333, 5836, 7095, 7887, 750, 1620, 2515, 3955, 5159, 6198, 6648, 8267, 752, 1881, 2946, 3873, 5165, 5737, 6786, 7508, 650, 1808, 2552, 4106, 4852, 6195, 7014, 8189, 993, 1717, 3091, 3167, 4931, 5520, 6789, 8178, 1066, 1915, 3091, 3728, 4358, 6181, 6658, 8107, 1066, 1692, 3091, 3398, 4807, 5332, 7069, 8046, 166, 1550, 2144, 3610, 4318, 5995, 7203, 7547, 545, 1682, 3091, 3286, 5090, 6067, 7150, 7670, 986, 1635, 3091, 3420, 4991, 5602, 6736, 7401, 487, 1768, 2142, 3456, 5128, 6202, 6710, 8132, 807, 2009, 2355, 4137, 4306, 5205, 6646, 8075, 582, 1692, 3040, 3216, 4351, 6119, 6917, 7527, 545, 1566, 2355, 4103, 4848, 5863, 6340, 8130, 487, 1956, 2593, 3355, 4530, 5886, 6640, 7886, 981, 1550, 2874, 3986, 4421, 5886, 7195, 7796, 103, 1794, 2316, 3363, 4545, 5339, 6224, 7839, 613, 1164, 2282, 3503, 4201, 6119, 6614, 7683, 970, 1252, 2382, 4066, 4651, 5296, 7100, 8085, 970, 1252, 2515, 3865, 4606, 5836, 7019, 8243, 970, 1740, 3091, 3233, 4592, 5844, 6796, 8032, 970, 1531, 2292, 4046, 4303, 5809, 6743, 7957, 504, 1826, 2934, 3929, 4374, 5899, 6235, 7865, 216, 1834, 2598, 3776, 4682, 6123, 6338, 7476, 308, 1773, 2238, 3692, 4630, 6050, 7239, 7939, 684, 1995, 2729, 3710, 4622, 5901, 6515, 7260, 1099, 1847, 3006, 4018, 5145, 5901, 6752, 7723, 757, 2068, 2709, 3793, 5134, 5678, 6980, 7397, 225, 1742, 2970, 3364, 4780, 5827, 6612, 8260, 225, 1286, 3144, 3550, 4912, 5548, 6566, 8260, 421, 1289, 3141, 3930, 4387, 5519, 6584, 7873, 757, 2106, 2542, 3827, 4412, 5903, 6984, 7664, 153, 2060, 3133, 3827, 4513, 5550, 7201, 7598, 153, 1346, 2792, 3976, 5078, 5761, 7162, 8132, 373, 1509, 3075, 4114, 4470, 5923, 6604, 8132, 223, 1886, 2553, 3987, 4374, 5410, 6338, 7968, 504, 1318, 2998, 3710, 4550, 5361, 6401, 7317, 386, 1727, 3119, 3681, 4512, 5558, 6966, 7337, 643, 1982, 2373, 3856, 4542, 6203, 6664, 7519, 504, 1469, 2377, 4055, 4781, 6016, 6466, 7940, 314, 1469, 2950, 3388, 4446, 5847, 6734, 7900, 386, 2050, 2705, 3388, 4999, 5350, 7165, 8075, 1029, 1469, 3070, 3355, 4659, 6146, 6919, 8054, 504, 1468, 2320, 3997, 4717, 5350, 6918, 7312, 386, 1385, 2894, 3822, 4963, 5366, 6325, 7678, 784, 1251, 2903, 4119, 5182, 5709, 6920, 7419, 938, 2066, 2698, 3351, 4500, 5515, 7232, 8205, 266, 1440, 2915, 3378, 5023, 6118, 6265, 7816, 150, 1543, 2316, 3906, 4415, 5515, 6850, 7558, 223, 2000, 3007, 3785, 5080, 5850, 6229, 7341, 752, 1280, 2440, 3656, 4985, 6131, 6426, 7401, 1033, 1302, 2256, 3513, 5138, 5976, 7019, 7524, 1071, 1777, 3149, 3901, 4582, 6181, 6581, 7641, 887, 1306, 2610, 3600, 5166, 5953, 6988, 7650, 150, 1797, 2783, 4137, 5079, 6195, 6871, 7791, 1025, 1692, 2567, 3926, 5138, 6146, 7052, 7894, 223, 1708, 2719, 3394, 4259, 6006, 6224, 8188, 887, 2008, 2547, 3430, 5138, 5974, 7211, 7862, 1033, 1302, 2309, 4027, 4288, 6118, 6812, 8213, 643, 1820, 2868, 3369, 5001, 6119, 6526, 7677, 1004, 1199, 2470, 3848, 5124, 5481, 6241, 7542, 781, 1426, 3040, 3833, 4547, 6068, 6516, 7790, 558, 1407, 3040, 3495, 4425, 6223, 6409, 7576, 803, 2050, 2428, 3373, 4755, 5940, 6494, 7758, 1029, 1926, 2623, 3781, 4364, 5787, 6594, 8072, 893, 1955, 3040, 3778, 5105, 6080, 6304, 7911, 536, 1130, 2141, 3357, 4373, 5447, 6326, 7946, 150, 1843, 3040, 4119, 4271, 5347, 6645, 7983, 881, 1469, 2698, 3155, 5151, 6145, 6828, 8265, 582, 1298, 2476, 3262, 4601, 6002, 7067, 8020, 610, 1469, 2874, 3276, 5181, 6002, 6739, 7832, 778, 1440, 2716, 4095, 4678, 5474, 6645, 7329, 887, 1944, 2961, 4049, 5193, 5379, 6414, 8085, 104, 1989, 2137, 4072, 4764, 5749, 6566, 8240, 1035, 1915, 2541, 3513, 4334, 5678, 6623, 8248, 952, 2053, 2794, 3963, 4369, 5523, 6378, 7547, 665, 1141, 2973, 3943, 4335, 5408, 6692, 7594, 569, 1561, 2156, 3968, 4818, 6002, 7232, 8028, 806, 1553, 2587, 3764, 4595, 5547, 6339, 8163, 807, 1541, 2559, 3394, 4780, 6142, 7181, 7757, 487, 2084, 2951, 3580, 4723, 6116, 6444, 7622, 986, 1653, 2771, 3695, 5097, 6180, 6385, 8058, 545, 1653, 2136, 3952, 4321, 5642, 7232, 7929, 569, 1118, 2585, 4125, 4298, 5341, 7002, 7625, 807, 1275, 3068, 3394, 4642, 5552, 6687, 8048, 487, 1887, 3116, 3394, 4593, 5421, 6837, 7436, 986, 1806, 2797, 3394, 4834, 5576, 6224, 7710, 663, 1462, 2751, 3464, 4981, 6137, 6776, 7869, 1056, 1942, 2793, 3420, 4496, 5474, 6856, 8248, 424, 1695, 2801, 3479, 5097, 5810, 7152, 8151, 663, 1695, 2381, 3983, 5193, 6137, 6348, 7256, 512, 2041, 2944, 3304, 4849, 6182, 7111, 8237, 757, 1939, 2432, 3496, 4808, 5963, 7232, 7476, 225, 1112, 2858, 3178, 4191, 5599, 7207, 7978, 118, 1112, 2370, 3918, 5142, 5963, 6486, 7574, 183, 1623, 2709, 4113, 4801, 5825, 7129, 7563, 225, 1264, 2349, 3751, 4764, 5218, 6671, 7869, 568, 1750, 2181, 3719, 4701, 6085, 6443, 8134, 568, 1286, 2302, 3723, 4374, 5436, 6677, 8266, 757, 1112, 2454, 4145, 4611, 6117, 6720, 7959, 757, 2127, 2709, 3751, 4918, 6175, 6688, 7677, 617, 1623, 3006, 3851, 4993, 5963, 7232, 7664, 617, 1750, 3021, 3803, 5081, 5824, 6515, 8132, 859, 2127, 2833, 3374, 4877, 5219, 7132, 7806, 419, 2106, 2858, 4145, 5166, 5892, 7120, 8260, 555, 2127, 3144, 3827, 4622, 5296, 7168, 7303, 419, 1648, 3021, 3374, 4555, 6139, 7207, 7485, 105, 2127, 2941, 3803, 4398, 5550, 6752, 7303, 105, 2127, 2941, 3914, 4398, 5635, 6677, 7303, 4, 2 ]

[ 1, 28, 14, 51, 5, 44, 54, 5, 31, 48, 78, 5, 53, 23, 54, 66, 16, 54, 78, 5, 11, 63, 5, 51, 76, 45, 63, 5, 41, 57, 51, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 510, 1648, 2880, 3987, 4980, 5635, 6972, 8076, 641, 1498, 2429, 3298, 5150, 5840, 6478, 7919, 1006, 1557, 2344, 3922, 5198, 6119, 6386, 7453, 1070, 1220, 2487, 3690, 5036, 6125, 6270, 7654, 810, 1401, 3049, 3376, 5164, 5829, 6784, 7363, 179, 1450, 2165, 3911, 4621, 5699, 6440, 7795, 653, 1401, 2794, 3755, 4322, 6067, 6307, 7892, 1088, 1761, 2946, 3667, 5092, 5983, 6991, 7428, 942, 1732, 2884, 4172, 5030, 5265, 6334, 7719, 571, 1561, 2167, 3874, 5122, 5495, 6834, 7262, 984, 2100, 2546, 4064, 4717, 5216, 6774, 7312, 337, 2032, 2984, 3982, 5020, 5767, 6630, 8054, 541, 1831, 3000, 3749, 5054, 6118, 7160, 7811, 489, 1858, 2746, 3608, 5050, 6026, 7087, 7260, 914, 1233, 2254, 4145, 4993, 5797, 7168, 8261, 149, 1860, 2833, 4115, 4215, 6026, 6889, 7669, 692, 1278, 2946, 3298, 4664, 5474, 6373, 7687, 271, 1252, 2870, 3325, 4775, 6089, 6684, 8131, 504, 1141, 2785, 3892, 4426, 5824, 6463, 8190, 386, 1141, 2994, 3660, 4788, 5368, 7082, 7405, 643, 1141, 2649, 3558, 4824, 5976, 6254, 7822, 504, 1782, 2868, 3271, 4813, 5500, 6803, 7563, 955, 1708, 2661, 3761, 5088, 5677, 7160, 8214, 645, 1721, 2946, 3540, 4691, 6058, 7098, 7992, 465, 1509, 2709, 3766, 4651, 5613, 7090, 8101, 535, 1570, 2282, 3973, 4873, 5886, 7072, 7774, 884, 1985, 2311, 3193, 5001, 5268, 6224, 8139, 807, 1167, 3116, 3601, 4918, 5417, 6623, 8252, 150, 1550, 3020, 3936, 5009, 5589, 6458, 7927, 487, 1771, 3020, 4130, 5151, 5792, 6293, 7419, 487, 1915, 3020, 3417, 4845, 5471, 7202, 7973, 1025, 1918, 2659, 3949, 5193, 5341, 7237, 7918, 952, 1915, 2282, 3498, 4218, 5224, 6376, 7986, 576, 1286, 3006, 4007, 4607, 5587, 6560, 7488, 1014, 2107, 2979, 3272, 4580, 5341, 6961, 8159, 654, 1796, 2760, 3646, 4985, 5443, 6879, 7563, 518, 2035, 3091, 3917, 4340, 6109, 6348, 7778, 390, 1752, 2560, 3982, 4872, 5653, 6412, 8236, 308, 1939, 2298, 3756, 5129, 5796, 7201, 8066, 1090, 1770, 2678, 3917, 5096, 5590, 6938, 8209, 1025, 2055, 2661, 3949, 4755, 5228, 6850, 7524, 993, 1692, 2429, 3355, 4855, 6220, 6550, 7778, 993, 1141, 2534, 3671, 4641, 5742, 6966, 7919, 826, 1141, 2793, 4026, 4513, 5844, 6260, 8033, 775, 1786, 2736, 3267, 5111, 6010, 6419, 7933, 884, 1632, 2344, 3356, 4458, 5640, 6564, 7672, 884, 1772, 2742, 3623, 4321, 5938, 6838, 7273, 581, 2009, 2506, 3356, 4321, 5450, 6567, 8050, 1057, 1940, 2248, 3937, 4776, 6204, 6348, 7527, 1057, 1672, 2506, 3901, 4195, 6034, 6348, 7611, 1084, 2036, 2506, 3496, 4557, 5475, 6419, 7581, 1005, 1275, 2715, 3605, 4348, 5390, 6352, 7748, 1025, 1582, 2389, 3996, 4777, 5323, 7181, 8181, 938, 1865, 2981, 3162, 4626, 5228, 7080, 8145, 1011, 1685, 2790, 3920, 4691, 5386, 7110, 7842, 833, 1164, 2254, 3341, 4588, 5436, 7218, 7500, 103, 2107, 2340, 3603, 4337, 6119, 7232, 8227, 844, 1791, 2403, 4025, 4709, 5927, 7188, 7959, 1033, 2065, 2232, 3371, 5180, 6113, 6847, 7414, 1062, 1139, 2946, 3975, 4966, 5341, 6969, 7646, 936, 1773, 2429, 3340, 5183, 5341, 6834, 7416, 386, 1388, 2188, 4066, 5085, 6141, 6377, 7379, 504, 2002, 2946, 3361, 4342, 6111, 6442, 7664, 1024, 1981, 2156, 3956, 4609, 5847, 6808, 7873, 678, 1776, 2946, 3648, 4556, 5592, 6343, 8054, 216, 2091, 2740, 3615, 4565, 5504, 6612, 7776, 731, 1992, 2731, 3771, 4444, 6175, 6270, 7633, 216, 1992, 2256, 3771, 4536, 5893, 7132, 7410, 401, 2091, 2429, 3885, 4792, 5775, 6543, 7570, 678, 1682, 2946, 3910, 4592, 5413, 6809, 8179, 211, 1998, 2868, 3546, 4494, 5435, 6852, 7957, 211, 1924, 2503, 3649, 5115, 5892, 7164, 7965, 228, 1467, 3020, 3413, 4811, 5202, 7142, 8252, 228, 1524, 2187, 3592, 4395, 5694, 7165, 7508, 228, 1675, 2554, 3576, 4580, 5605, 6403, 7367, 317, 1252, 2384, 3727, 4329, 5548, 6237, 8234, 645, 1850, 2959, 3704, 5106, 5223, 6646, 8238, 887, 1509, 2390, 3771, 4346, 6204, 7205, 7555, 840, 1865, 3056, 3743, 4372, 5431, 6716, 7672, 1067, 1199, 3051, 3872, 4620, 5475, 6828, 8143, 271, 1151, 2301, 3868, 4780, 5500, 6536, 7875, 895, 2100, 2876, 3330, 4271, 5330, 6567, 7527, 150, 1298, 2234, 3736, 4550, 5222, 7220, 8139, 150, 1270, 2892, 3758, 5193, 6118, 6561, 7468, 738, 1270, 2348, 3590, 4722, 5648, 7156, 7996, 738, 1581, 3123, 3325, 4803, 5632, 6414, 7333, 887, 1772, 3151, 3604, 5193, 5596, 7192, 7800, 1063, 1897, 2243, 4128, 5044, 5524, 7246, 7908, 373, 2050, 3033, 3152, 4717, 5713, 7147, 8184, 373, 1703, 2998, 3950, 4558, 5653, 7144, 7791, 373, 1856, 3034, 3675, 4639, 5968, 6708, 8205, 1090, 1309, 3112, 3277, 5189, 5222, 7048, 7248, 373, 1728, 2554, 4145, 5044, 5797, 7006, 8028, 373, 1915, 2391, 4036, 5139, 5684, 6702, 8224, 959, 1499, 3109, 3918, 5080, 5876, 6566, 7678, 1056, 1833, 2838, 3540, 4248, 6051, 7132, 7949, 308, 1467, 3008, 3932, 5166, 6103, 6688, 8260, 1099, 1963, 3095, 3866, 5061, 6129, 6786, 8066, 1097, 1218, 2936, 3932, 5166, 6129, 7010, 8179, 818, 1869, 2947, 3886, 4583, 6205, 7201, 8147, 1097, 2017, 3110, 4170, 4630, 6211, 7006, 7806, 488, 1622, 2914, 3367, 4822, 6139, 6794, 7949, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 100, 2098, 2985, 3432, 4335, 5840, 6820, 7572, 450, 1752, 2966, 3838, 4422, 5908, 6770, 7797, 337, 1648, 2991, 3932, 4549, 5436, 7218, 8196, 171, 2032, 2730, 4105, 4583, 6103, 6740, 7641, 450, 1386, 2985, 3932, 4287, 5850, 7120, 8179, 132, 1998, 2493, 4114, 4781, 5850, 6709, 8236, 767, 1318, 3007, 4105, 4781, 5694, 6771, 7458, 271, 1562, 3092, 4055, 5088, 6014, 6630, 7724, 314, 1141, 2436, 3918, 4592, 5893, 7228, 7593, 1023, 1758, 2565, 3575, 5084, 5526, 7055, 7542, 363, 1808, 2918, 3353, 4553, 6041, 6915, 7519, 462, 1732, 2798, 3355, 4920, 5276, 6622, 7955, 465, 2053, 2801, 4095, 4985, 6034, 6910, 7528, 1038, 2053, 2801, 3642, 4985, 5719, 7049, 7402, 691, 1942, 2210, 3161, 5128, 6111, 7017, 8151, 913, 1561, 2187, 3341, 4604, 5944, 7118, 7547, 864, 1397, 3075, 3188, 5077, 5624, 6669, 8161, 1024, 2107, 3091, 3644, 4782, 5212, 7099, 7423, 970, 1858, 2559, 3737, 4804, 6073, 6677, 7944, 776, 1139, 2946, 3983, 4533, 5976, 6578, 7826, 678, 2073, 2762, 3929, 4935, 5981, 7181, 7666, 405, 1218, 2946, 3304, 4573, 5745, 6859, 7260, 899, 1918, 2473, 3869, 4307, 5730, 7152, 7474, 256, 1847, 2473, 3671, 4287, 5296, 6709, 8209, 256, 1597, 2947, 4071, 4344, 5863, 6589, 8080, 568, 2030, 3095, 4151, 4877, 6146, 6357, 8235, 518, 2065, 3110, 3364, 5080, 5296, 7114, 8261, 518, 2073, 3147, 3982, 4287, 6110, 6607, 7557, 878, 2030, 2340, 3960, 4764, 5475, 6840, 7878, 617, 2030, 2469, 3300, 5106, 5296, 7132, 7768, 132, 1804, 2254, 3391, 4513, 5963, 7168, 7485, 752, 2035, 2573, 4145, 4451, 5534, 7112, 7776, 492, 1260, 2393, 3498, 5100, 5931, 6644, 7439, 1008, 1146, 2923, 3986, 5161, 5410, 7154, 7921, 1024, 1581, 2265, 3427, 4364, 6210, 6547, 7801, 692, 1315, 2661, 3170, 4340, 6034, 6825, 8070, 938, 1858, 2895, 3964, 4305, 5496, 6348, 8081, 678, 1146, 2943, 3900, 5008, 5651, 6382, 8137, 1011, 1913, 3060, 3856, 5088, 5535, 6351, 7535, 940, 1251, 2222, 4150, 4787, 5942, 6786, 7768, 940, 1867, 2321, 3886, 4987, 5694, 6771, 7706, 288, 1721, 3108, 3982, 4241, 6123, 7162, 8245, 308, 2000, 2880, 3803, 5060, 5832, 6750, 7631, 510, 1847, 2957, 3990, 4551, 5705, 6793, 7949, 935, 1874, 2838, 4166, 4630, 5661, 6996, 8267, 956, 1218, 2880, 3982, 4630, 6195, 6709, 8147, 935, 1508, 2949, 3945, 4912, 6182, 7132, 7485, 293, 1198, 2860, 3475, 4226, 5676, 6306, 7854, 617, 1108, 2759, 4124, 4573, 6157, 6958, 7574, 153, 2111, 3083, 4096, 4335, 5548, 7158, 7920, 552, 2111, 2833, 3904, 4191, 5963, 7098, 7260, 488, 2111, 2833, 3825, 4888, 5219, 7218, 8237, 142, 1528, 2806, 3891, 4704, 5901, 6794, 8223, 488, 1622, 2806, 3803, 4624, 5586, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3825, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 76, 11, 78, 5, 44, 54, 5, 16, 5, 41, 33, 63, 5, 76, 39, 5, 66, 73, 5, 64, 62, 33, 54, 30, 5, 45, 66, 5, 20, 52, 5, 11, 54, 5, 43, 45, 78, 5, 41, 39, 75, 35, 44, 66, 5, 43, 11, 28, 47, 5, 5, 3, 945, 1528, 2806, 4068, 5166, 6051, 7226, 8147, 915, 2111, 2970, 3803, 4583, 5901, 6604, 8080, 789, 1349, 2542, 4005, 5138, 5556, 7100, 7570, 640, 1349, 2709, 4067, 5178, 6217, 6226, 7656, 739, 2049, 2365, 3888, 4468, 5578, 7076, 7424, 1070, 1302, 2725, 3517, 5069, 5454, 7208, 7939, 363, 1702, 3074, 4128, 4591, 5716, 6337, 7973, 1023, 2061, 2725, 3316, 5086, 5819, 6383, 7932, 728, 1695, 2830, 3676, 5052, 5876, 6905, 7490, 1036, 1776, 2562, 3676, 4386, 5387, 6224, 8009, 547, 1684, 2731, 3737, 4755, 5875, 7005, 8229, 692, 1315, 2562, 4034, 5016, 6179, 7177, 8117, 938, 1318, 2761, 3610, 5153, 5775, 6869, 8256, 948, 1695, 3006, 3206, 4214, 5477, 6405, 7291, 335, 1935, 2989, 4143, 4828, 6007, 7201, 7764, 731, 2095, 2833, 4150, 4276, 5929, 6579, 8123, 767, 1912, 2669, 4073, 5153, 5678, 7207, 7602, 304, 1175, 2989, 3932, 5088, 5344, 6897, 7807, 731, 1463, 2880, 4145, 5183, 5475, 7058, 8260, 684, 2068, 3150, 4171, 4435, 5904, 6936, 8082, 959, 1776, 2860, 4064, 5058, 5661, 6935, 7806, 951, 1981, 2407, 4006, 5106, 5405, 6752, 7658, 1047, 1521, 2592, 4166, 4829, 6087, 7010, 7838, 938, 1318, 2957, 4041, 4179, 5910, 7217, 7865, 1024, 2035, 2137, 3492, 5196, 5811, 7017, 7706, 970, 1843, 2137, 3669, 4801, 5485, 6528, 7594, 1011, 1531, 2546, 3566, 5190, 5385, 6901, 7648, 678, 2118, 3026, 3840, 4797, 5504, 6313, 8175, 401, 2091, 2871, 3891, 4533, 5385, 6988, 7563, 513, 2102, 2424, 3485, 4365, 5761, 6296, 7711, 225, 1241, 2238, 3838, 4231, 5831, 6991, 8034, 225, 1794, 2598, 3359, 5088, 5694, 6529, 7542, 317, 1460, 2151, 3394, 4382, 5565, 6965, 8164, 317, 1794, 2554, 3601, 5012, 5527, 6651, 7563, 216, 1523, 2725, 3407, 4931, 5436, 7152, 8009, 1067, 1349, 2675, 3882, 4440, 6130, 7167, 8197, 1024, 1284, 2871, 4098, 4328, 5834, 6762, 7602, 1024, 1248, 2940, 3676, 5003, 5496, 6292, 7916, 1024, 2035, 2865, 3245, 4727, 5824, 7160, 7858, 401, 2068, 2167, 3917, 4993, 5715, 6884, 7714, 223, 1566, 2693, 3910, 4665, 5871, 7119, 7641, 938, 1402, 2282, 4153, 4845, 5440, 6688, 7976, 692, 1812, 2750, 3264, 4924, 5615, 7149, 7264, 692, 1302, 2134, 3672, 5165, 5567, 6646, 8162, 942, 1992, 2690, 3721, 4278, 5579, 6938, 7794, 405, 2000, 3112, 4085, 4536, 5687, 6467, 8237, 518, 1562, 2468, 3322, 4828, 5624, 7160, 7473, 440, 2091, 2468, 4143, 5044, 6110, 6740, 7574, 256, 2068, 2833, 3879, 4398, 6163, 6810, 7537, 256, 2030, 2833, 3866, 5075, 5548, 7069, 7870, 789, 1525, 3007, 4096, 4387, 6182, 6909, 8147, 789, 1525, 2833, 3914, 5075, 5296, 6612, 7716, 256, 1750, 2468, 4115, 4512, 5514, 6889, 8147, 256, 2030, 3133, 4145, 4912, 6175, 6776, 8237, 256, 2065, 2560, 4166, 4398, 5381, 6821, 8261, 552, 1333, 3098, 3470, 4923, 5385, 6578, 7379, 223, 1668, 2750, 3955, 4444, 5825, 6755, 7838, 840, 1755, 2863, 3900, 4702, 5389, 6649, 7437, 1080, 1561, 2987, 3491, 5011, 6073, 6552, 7604, 725, 1278, 2750, 3575, 4546, 5511, 6625, 7704, 271, 2099, 2439, 3770, 4622, 5478, 6423, 7458, 653, 2072, 2871, 4136, 5141, 6191, 6573, 7977, 1101, 1835, 2327, 3575, 4616, 5247, 7187, 7756, 611, 2099, 2353, 3892, 4546, 5973, 7106, 8171, 339, 1773, 2381, 3298, 4866, 5746, 7166, 8193, 371, 1356, 2282, 3543, 5176, 6054, 6625, 7946, 339, 1717, 2431, 3245, 4864, 6168, 6313, 7546, 1029, 1555, 2923, 3310, 4421, 5885, 7139, 8095, 235, 1655, 2727, 3885, 4915, 5311, 7140, 7473, 1025, 1499, 3050, 3394, 5142, 5606, 7217, 7677, 1025, 1897, 2503, 3718, 4953, 6024, 6953, 7516, 1025, 1897, 2803, 3676, 5062, 5784, 6870, 7948, 1025, 1676, 2363, 4146, 4867, 5345, 6349, 7716, 610, 1873, 3064, 3240, 4536, 6123, 6898, 7998, 610, 1873, 2991, 3201, 4558, 5540, 6771, 8076, 610, 1675, 2129, 3512, 4533, 5259, 6688, 7912, 1067, 2056, 2367, 3909, 4849, 5590, 7069, 7264, 271, 1239, 3092, 3656, 4402, 5836, 6850, 7396, 271, 1119, 2552, 4102, 5083, 6083, 7019, 7547, 981, 1171, 2658, 3737, 4513, 6003, 6603, 7661, 504, 1561, 2918, 3399, 5092, 5212, 6663, 7602, 643, 1834, 2801, 3361, 4985, 6068, 7057, 7365, 487, 1363, 2751, 3700, 4801, 5800, 6265, 7758, 386, 1561, 2138, 4038, 5120, 6118, 6298, 7264, 643, 1164, 2598, 3352, 4755, 5831, 6884, 8085, 288, 1269, 2554, 3671, 4998, 5767, 7202, 7262, 684, 1370, 2729, 4096, 5083, 5705, 7218, 8132, 684, 1280, 2833, 3866, 4583, 6182, 7218, 7723, 103, 1562, 2791, 3213, 5083, 6063, 7207, 8227, 1091, 1421, 2401, 3420, 5157, 6148, 6918, 8031, 678, 1794, 2771, 3811, 4670, 6149, 7069, 7732, 643, 1773, 2445, 4078, 4542, 6050, 7100, 7706, 613, 1935, 2516, 3746, 4340, 5548, 6284, 8055, 225, 1918, 2560, 3272, 4844, 5429, 6291, 8140, 225, 2002, 2598, 3723, 4423, 5678, 6607, 8076, 654, 1826, 3105, 3851, 4890, 5943, 6338, 7806, 228, 2002, 2880, 3225, 5007, 6137, 6515, 8164, 228, 2002, 2473, 3550, 5060, 6175, 6909, 7865, 228, 1826, 2792, 3595, 4549, 5241, 6909, 7477, 105, 1752, 2729, 3391, 5079, 6097, 6906, 7962, 860, 1528, 2806, 3803, 4555, 5493, 6988, 8147, 915, 2017, 2554, 3825, 4549, 5296, 6612, 7766, 915, 2017, 2554, 3825, 4704, 5677, 6996, 7766, 915, 1528, 2554, 3825, 4704, 6139, 6996, 7865, 915, 1622, 2914, 3893, 4798, 6139, 7124, 7865, 868, 2093, 2750, 3936, 4814, 5245, 6605, 7538, 805, 1496, 2709, 3669, 4501, 5322, 6804, 8084, 1080, 2062, 2290, 3180, 4829, 6117, 6858, 8235, 1041, 1776, 2282, 3965, 4201, 6064, 6452, 7531, 692, 1480, 2134, 3517, 4576, 5836, 6701, 8242, 864, 1668, 2613, 4015, 5092, 5315, 6592, 8264, 1024, 2047, 2613, 3566, 4201, 5914, 6976, 7481, 913, 1637, 3040, 3955, 4855, 5279, 7044, 8183, 335, 1770, 2775, 3276, 4595, 5832, 7090, 8195, 767, 1886, 2653, 3578, 4651, 5413, 6786, 7260, 335, 1120, 3080, 3533, 5153, 5981, 6648, 7641, 1033, 1415, 2315, 4145, 4512, 6131, 7207, 8213, 304, 1562, 2340, 4145, 5153, 5385, 6850, 7386, 788, 1252, 2865, 4107, 5139, 5802, 6830, 7624, 1088, 1794, 2750, 3245, 4829, 5344, 7007, 8128, 1006, 1640, 2725, 3356, 4526, 5629, 6464, 7967, 722, 1189, 2725, 3251, 5146, 5814, 6883, 8069, 1064, 1617, 2725, 3394, 4434, 5619, 6884, 8145, 948, 1299, 3055, 4138, 5138, 5773, 6405, 7532, 304, 1918, 2429, 3217, 4428, 6064, 6612, 8182, 942, 1498, 2432, 4096, 5032, 6181, 7090, 7383, 864, 1477, 3080, 3647, 4681, 5730, 7230, 8229, 547, 1309, 2233, 3771, 4853, 6149, 6586, 7930, 938, 1865, 2256, 3466, 5124, 5235, 6599, 8016, 1080, 1318, 2182, 3475, 4348, 5570, 6612, 8003, 1024, 1843, 2137, 3556, 4565, 5393, 6997, 8174, 1024, 1757, 2515, 3781, 4616, 5769, 6800, 7689, 738, 2081, 2361, 3361, 5193, 5495, 6975, 7271, 547, 1664, 2353, 3979, 4760, 5498, 6881, 7728, 494, 1419, 2693, 3940, 4814, 5542, 6967, 7992, 1067, 1120, 2888, 3404, 4757, 6080, 6493, 8252, 1030, 1419, 2972, 3429, 4381, 6071, 7065, 7590, 371, 1156, 2631, 3254, 4639, 5597, 6766, 7832, 504, 1693, 2998, 3808, 4861, 5735, 7164, 7772, 531, 1543, 3090, 4105, 4384, 6153, 6579, 7984, 271, 1693, 2822, 4076, 4725, 5288, 6224, 7937, 504, 1693, 2604, 4055, 4470, 6118, 6957, 8164, 1001, 1469, 2425, 3846, 4621, 5366, 6270, 7959, 1016, 1543, 2819, 3779, 4841, 5418, 6260, 7990, 150, 2027, 2721, 3187, 4728, 5909, 6408, 8017, 610, 1630, 2712, 3378, 4340, 6217, 6224, 7414, 1025, 2089, 2847, 4028, 4214, 6026, 6304, 7908, 271, 1440, 2956, 3446, 5085, 5828, 6935, 7250, 386, 1179, 2175, 3740, 4271, 5637, 6666, 7908, 150, 1609, 3011, 3325, 4896, 5923, 6833, 7508, 1066, 1352, 2419, 3868, 4364, 6021, 6981, 8270, 208, 1296, 2165, 3635, 5154, 5986, 6874, 7869, 492, 1855, 3034, 3850, 4927, 5675, 7142, 7473, 725, 1919, 2209, 4034, 5111, 6060, 6538, 7571, 536, 1828, 3003, 3259, 4804, 5265, 7014, 8013, 104, 1918, 2831, 3475, 4273, 5341, 6775, 7702, 113, 1496, 3033, 3258, 4909, 5344, 7045, 7779, 650, 1671, 3030, 3697, 5020, 5810, 6740, 7384, 150, 1878, 2750, 3355, 4701, 5673, 7023, 7878, 465, 2033, 2696, 3475, 4186, 5978, 6900, 8205, 895, 1118, 2271, 4143, 4441, 5889, 6426, 8073, 807, 1494, 2332, 4043, 4855, 5237, 6224, 8189, 807, 1494, 2332, 3601, 5085, 5325, 7222, 7634, 895, 1834, 2897, 3782, 5097, 5344, 6382, 7873, 150, 1397, 2156, 3231, 4701, 5564, 6719, 7873, 952, 1472, 2419, 3790, 5162, 6155, 6982, 7697, 317, 2117, 2625, 3790, 5092, 5803, 6876, 7313, 225, 1821, 2751, 3491, 5144, 6110, 7047, 8237, 225, 1424, 2366, 4125, 4881, 6166, 7041, 8213, 225, 1923, 2718, 3891, 4359, 6119, 6808, 7440, 568, 1496, 2473, 3595, 5061, 6160, 6755, 7275, 568, 2030, 3026, 3407, 5080, 5296, 6914, 8236, 1015, 2030, 2669, 3994, 4282, 5850, 6694, 7574, 789, 1175, 3114, 3516, 4611, 5650, 7129, 7485, 256, 2030, 2469, 3391, 4888, 5730, 6283, 7831, 878, 2030, 2803, 3516, 5143, 5493, 6657, 8135, 256, 1750, 2803, 3407, 4486, 5438, 6988, 7776, 356, 2065, 2803, 3803, 5120, 5832, 6584, 7492, 335, 1797, 2946, 3751, 4613, 5903, 6292, 7753, 1023, 1302, 2487, 3225, 4745, 5499, 7126, 7683, 363, 1695, 2346, 3560, 4804, 6151, 7169, 8039, 487, 1333, 2346, 3465, 4708, 5719, 6608, 7365, 884, 1732, 2346, 3352, 4321, 6000, 6564, 7823, 884, 1708, 2440, 3218, 5045, 5734, 6626, 8077, 884, 1708, 2440, 3765, 4953, 5532, 6622, 7791, 271, 1732, 2607, 3358, 4711, 5706, 7140, 8045, 1025, 1732, 2381, 3358, 5164, 5730, 6224, 7896, 424, 1758, 2847, 4143, 4852, 6005, 6737, 7976, 756, 1850, 2352, 3866, 4622, 5586, 6751, 8117, 789, 1878, 2468, 3537, 4589, 6182, 6702, 8049, 440, 1566, 2468, 3929, 5073, 5684, 6313, 7749, 489, 1519, 2709, 3870, 5143, 5643, 6574, 7429, 923, 1238, 3114, 3904, 4215, 5600, 6933, 7545, 150, 1849, 2440, 3314, 4986, 5548, 6741, 8153, 895, 1477, 2250, 3613, 4954, 5782, 6462, 7991, 876, 1682, 2188, 4080, 4636, 6142, 7140, 7545, 876, 1494, 2250, 4008, 4665, 5589, 6520, 7686, 876, 1171, 2214, 3687, 4626, 5657, 6585, 8252, 876, 1494, 2516, 3687, 4459, 6142, 6869, 8151, 104, 1494, 2587, 3745, 4615, 5332, 6401, 8190, 844, 1349, 2402, 3687, 5022, 6001, 6631, 7844, 859, 1747, 3144, 3909, 4918, 5873, 6765, 8099, 617, 1856, 2212, 4000, 4320, 5730, 7205, 8179, 708, 1345, 2983, 3243, 4923, 6051, 6401, 7782, 891, 1349, 2880, 3769, 4670, 6087, 6302, 8016, 579, 2042, 3149, 3320, 5145, 5584, 6654, 8135, 1015, 1596, 2718, 3994, 4289, 6154, 7217, 8080, 1015, 1939, 2556, 4168, 4983, 5987, 6338, 8205, 373, 1333, 2858, 4064, 4882, 5777, 6392, 8033, 895, 1416, 2860, 3902, 4570, 5523, 6612, 7852, 249, 1145, 2623, 3685, 4661, 5642, 7018, 8189, 492, 1338, 2849, 3215, 4495, 5943, 6249, 8069, 835, 1402, 2137, 3816, 4739, 5884, 6689, 7694, 786, 1535, 2896, 3759, 4495, 5862, 7143, 8163, 536, 1786, 2137, 3252, 4248, 5501, 6999, 8046, 113, 1934, 2137, 3773, 4425, 6086, 6769, 7787, 235, 1609, 2964, 4137, 4935, 5786, 6623, 8169, 804, 1660, 2729, 3886, 4925, 5436, 6891, 7631, 1056, 1723, 2936, 4112, 4861, 6182, 6859, 7816, 684, 1993, 2998, 3256, 4374, 5475, 6302, 7959, 288, 1945, 3060, 4041, 5044, 5705, 6786, 7631, 857, 2098, 3110, 3395, 4387, 6103, 6852, 7959, 955, 1403, 2492, 3891, 4287, 6195, 6677, 8261, 1029, 1918, 2422, 3580, 5134, 5478, 6486, 7627, 845, 1586, 2608, 3187, 5018, 5578, 7012, 7999, 884, 1942, 2801, 3165, 4678, 5578, 7157, 7727, 326, 1942, 2258, 4037, 4717, 6187, 7232, 8169, 399, 1289, 2389, 4072, 5086, 5417, 6612, 8208, 487, 2008, 2692, 3214, 5031, 6061, 6606, 8073, 139, 1782, 2791, 3427, 4604, 6034, 6762, 7497, 986, 1174, 3147, 3442, 4298, 5809, 7048, 8171, 465, 1397, 2263, 3352, 5031, 5810, 6976, 7498, 465, 1397, 3061, 3596, 4539, 5778, 6526, 7588, 150, 1397, 2163, 3732, 4790, 5508, 7086, 7586, 1081, 2008, 2990, 4150, 4923, 5474, 6841, 8117, 684, 1876, 3135, 4110, 4555, 5548, 7120, 7753, 859, 1945, 3064, 3990, 4622, 5963, 7095, 8076, 818, 1876, 2991, 3206, 4551, 6137, 6430, 7948, 818, 1791, 3021, 4108, 5080, 6139, 7239, 7421, 818, 1791, 3110, 4114, 5080, 6211, 7120, 8147, 555, 1528, 2833, 4085, 4512, 6085, 6972, 8083, 915, 2111, 2858, 3914, 4704, 6081, 7129, 8080, 488, 1648, 2806, 3893, 4512, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4512, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 4, 2 ]

[ 1, 66, 14, 63, 47, 30, 5, 5, 5, 44, 54, 5, 64, 52, 48, 62, 47, 5, 43, 11, 52, 56, 5, 5, 3, 105, 1320, 2669, 4121, 4411, 5276, 6283, 7563, 195, 2034, 2137, 3842, 4538, 5908, 6776, 7913, 183, 2106, 3040, 3359, 4918, 5908, 6612, 7317, 859, 1564, 3150, 3369, 4423, 5890, 6338, 7631, 859, 1675, 2560, 3945, 4869, 5716, 7132, 7481, 1064, 1906, 2679, 3190, 4379, 5202, 6793, 7650, 511, 1226, 2789, 3592, 4513, 5747, 6235, 7727, 511, 1387, 2380, 3251, 4293, 5531, 6444, 7458, 930, 1457, 3091, 3948, 4356, 5795, 6780, 7773, 930, 1457, 2518, 3467, 4755, 5538, 6783, 7649, 511, 1997, 2153, 4098, 4862, 5610, 6678, 8182, 611, 2095, 2869, 3152, 4742, 6192, 7139, 8026, 386, 1696, 3003, 3795, 4320, 5761, 6846, 8078, 942, 2036, 2873, 3904, 4773, 5508, 6291, 8224, 1033, 1664, 2254, 3459, 5040, 5548, 7122, 7807, 776, 1139, 2511, 3265, 5092, 5476, 6469, 7846, 610, 1453, 2470, 4151, 4604, 5784, 6235, 8145, 970, 1119, 2149, 4094, 4801, 5432, 6665, 7333, 970, 1736, 2974, 3761, 4179, 5968, 7047, 7973, 1090, 1821, 2656, 4151, 4382, 5385, 6901, 7826, 1011, 1164, 2797, 4126, 4723, 5914, 6958, 7576, 1024, 1732, 2710, 4073, 4321, 5360, 7065, 7799, 806, 1919, 2918, 3709, 4981, 5344, 6789, 7880, 487, 1978, 2258, 3276, 4437, 5880, 6256, 7795, 986, 1397, 2555, 3601, 4481, 5782, 6720, 7946, 545, 1494, 2940, 3764, 4576, 6004, 6385, 8201, 569, 1550, 2288, 3706, 4321, 5609, 6793, 7682, 986, 1944, 2751, 4079, 4495, 5366, 6919, 8132, 850, 1942, 2222, 4035, 4720, 6095, 7094, 7973, 487, 1717, 2701, 3770, 4467, 5313, 7103, 7869, 986, 1692, 2567, 3792, 4694, 5935, 6255, 7442, 807, 1771, 2432, 3535, 5040, 5539, 6448, 7873, 103, 1494, 2361, 4097, 4539, 5549, 7038, 8004, 804, 1791, 2754, 3843, 4611, 5616, 6809, 7799, 390, 1924, 2925, 4145, 5079, 5340, 7090, 7557, 1056, 1675, 2775, 4011, 5088, 5832, 7168, 7876, 868, 1794, 2139, 3596, 4691, 6222, 6358, 8150, 299, 1695, 2380, 3251, 4467, 5831, 6881, 8015, 1101, 2009, 2929, 3655, 4927, 5387, 6400, 7929, 888, 1494, 3097, 3525, 4422, 5828, 6856, 7840, 876, 1633, 3032, 4094, 4568, 6004, 7158, 8128, 390, 1845, 3078, 3623, 4715, 5631, 6485, 7602, 1097, 1938, 2998, 3394, 4549, 5677, 7160, 7768, 186, 2111, 3095, 3803, 4387, 5439, 6740, 8185, 818, 2000, 2730, 4071, 5104, 6195, 6584, 8076, 818, 2064, 2989, 3893, 4630, 5705, 6794, 8147, 935, 1684, 2970, 3891, 4287, 5661, 7201, 7485, 555, 1623, 2833, 4071, 4888, 5630, 7239, 8066, 617, 1586, 2332, 3407, 4622, 5643, 7120, 8179, 105, 2111, 3021, 3886, 4387, 5241, 6579, 7811, 617, 1695, 2803, 3873, 4727, 5503, 6709, 8266, 617, 1289, 3144, 3866, 4870, 5814, 6749, 8164, 617, 1586, 2860, 4026, 4287, 5296, 6579, 7427, 617, 1289, 2833, 3550, 4852, 5689, 6840, 7876, 105, 1586, 3150, 3550, 4549, 5678, 7111, 7376, 617, 1695, 2340, 3873, 5157, 6149, 6584, 8076, 105, 1147, 3147, 3550, 4700, 5527, 7100, 8076, 105, 2106, 2941, 3391, 4700, 5901, 7129, 7865, 859, 2127, 3144, 3374, 4877, 5296, 7077, 7865, 859, 2127, 3144, 3596, 4681, 5438, 6677, 7563, 356, 1147, 2880, 3770, 4681, 5534, 6809, 8164, 859, 2032, 2970, 3770, 5060, 5901, 7006, 8262, 859, 1750, 3021, 4145, 5138, 5892, 7120, 8076, 201, 1528, 2164, 4145, 4704, 5892, 7120, 8076, 860, 2017, 3065, 3825, 4624, 6139, 6794, 8237, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 419, 1648, 2164, 4145, 4398, 5635, 6996, 8237, 756, 1807, 2144, 3886, 4555, 5935, 6579, 7485, 323, 1289, 2638, 3628, 4800, 5980, 6978, 7438, 737, 1283, 2601, 3962, 4539, 5828, 6783, 8071, 462, 2059, 2610, 3792, 4446, 5585, 6399, 7527, 462, 2059, 2327, 3908, 4539, 6088, 6255, 8108, 462, 1834, 2692, 3792, 5011, 5637, 6869, 7488, 443, 1397, 2355, 3792, 4412, 6104, 6874, 8012, 443, 1561, 2994, 3792, 5092, 5334, 7122, 8121, 150, 1238, 2678, 3706, 4439, 5396, 6821, 7881, 826, 1771, 2436, 3848, 4861, 5606, 7197, 7602, 1025, 1999, 2456, 3697, 4536, 5557, 6325, 7929, 993, 1773, 2165, 3233, 4358, 6070, 7129, 7488, 993, 1773, 2165, 3193, 5169, 5502, 7149, 7782, 1025, 1918, 2689, 3680, 4860, 6084, 6823, 7528, 940, 1139, 2435, 3193, 5100, 5659, 6401, 7254, 654, 1566, 2361, 3227, 4913, 5610, 6581, 8045, 654, 1974, 2181, 3535, 4849, 5672, 6466, 7536, 518, 2118, 3004, 3687, 4877, 5705, 7098, 7959, 518, 2111, 2542, 3205, 5168, 5942, 7187, 7575, 518, 1570, 2904, 3879, 4611, 5892, 7043, 8103, 518, 2111, 2542, 3470, 4549, 6182, 6800, 7723, 518, 1645, 2596, 3955, 4855, 6149, 7006, 7706, 256, 1979, 2473, 3337, 4522, 5766, 7163, 7311, 440, 1935, 2946, 3662, 5104, 6110, 7003, 7557, 355, 1851, 2775, 3231, 4486, 5565, 6262, 7684, 105, 2073, 2970, 3487, 4630, 5436, 7006, 7574, 484, 1468, 3144, 3374, 4630, 5534, 6889, 7959, 401, 1880, 2520, 3987, 4374, 5694, 6456, 7528, 1033, 2079, 2960, 4150, 4955, 5801, 7098, 7983, 752, 1596, 2336, 3251, 4609, 5953, 6651, 7248, 952, 1930, 2455, 3376, 4682, 5802, 7232, 7652, 807, 1349, 2598, 3762, 4439, 5810, 7208, 7624, 672, 1633, 2402, 3394, 4510, 5800, 6267, 8139, 582, 1708, 2692, 3929, 5004, 5818, 6453, 7551, 1040, 1692, 2751, 3540, 4773, 5828, 6315, 8046, 986, 1700, 2751, 3496, 5135, 5835, 6466, 7987, 104, 2013, 2436, 3210, 4448, 5548, 6889, 7627, 684, 1791, 2729, 3982, 4912, 5678, 6649, 7720, 956, 1623, 2957, 3990, 5038, 5378, 6979, 7782, 510, 1998, 3135, 4145, 4822, 5883, 7120, 8185, 510, 1620, 2946, 3516, 4586, 5534, 6810, 7949, 512, 1623, 2803, 3488, 4215, 5797, 7006, 8260, 767, 1400, 2556, 3827, 4762, 5210, 7058, 7919, 582, 2072, 2346, 4144, 4700, 5640, 6924, 7954, 920, 2008, 2638, 4072, 5151, 5333, 6625, 7542, 986, 1563, 2346, 4137, 4848, 6002, 6914, 7628, 545, 1356, 2346, 3286, 4214, 6194, 6710, 7825, 986, 1548, 2923, 3424, 5052, 5982, 7063, 7978, 487, 1924, 2348, 3472, 4918, 6096, 7154, 7968, 756, 1581, 2142, 3802, 4868, 5485, 6256, 7677, 757, 1827, 2636, 3266, 4949, 5976, 6763, 7291, 403, 1716, 2221, 4125, 4267, 5365, 6412, 7476, 579, 2111, 2558, 3811, 4423, 5955, 6853, 7524, 508, 1596, 2160, 3865, 4359, 6083, 6672, 7825, 815, 1183, 2192, 4033, 4923, 5385, 6713, 8268, 100, 1238, 3061, 3899, 4966, 5624, 6741, 7905, 581, 1393, 2737, 3450, 4364, 6065, 6403, 7950, 249, 1655, 2173, 3326, 4364, 6067, 6793, 8121, 247, 1301, 2532, 3218, 4728, 5954, 6299, 7274, 113, 1704, 2137, 3481, 5199, 5499, 6703, 7910, 113, 1704, 2964, 3727, 4771, 5321, 7158, 8160, 1063, 1926, 2435, 3989, 4458, 5441, 6247, 8197, 738, 1581, 3010, 3659, 4409, 5380, 6433, 8222, 271, 1838, 2782, 3699, 4805, 5869, 6944, 8213, 1011, 2003, 3112, 3410, 4982, 5816, 6935, 7494, 913, 1919, 2727, 3556, 5019, 6063, 7008, 7712, 113, 1770, 3112, 3630, 4489, 5642, 6579, 8067, 981, 1156, 3151, 3462, 4525, 5765, 6825, 7583, 271, 1492, 2273, 3883, 5193, 6141, 6594, 7811, 277, 1685, 2876, 4138, 4288, 5231, 6870, 7479, 692, 1993, 2741, 3560, 5072, 5426, 6700, 7564, 344, 1309, 2741, 3642, 4242, 6086, 7005, 8173, 864, 1399, 2741, 3778, 4621, 5633, 6267, 7524, 1008, 1753, 2741, 3614, 4244, 6086, 7227, 7622, 1016, 1609, 2741, 3819, 4305, 5654, 6847, 7820, 277, 1582, 2795, 3298, 4661, 6119, 6391, 7309, 1008, 1897, 2987, 3263, 4191, 6222, 6803, 8189, 277, 2009, 2987, 3616, 4707, 5585, 7016, 7422, 970, 2036, 2945, 3751, 5152, 5203, 7154, 8033, 776, 1146, 3151, 3751, 4620, 6026, 6889, 7673, 1056, 1833, 2533, 3533, 4852, 6187, 7144, 7930, 914, 1945, 3095, 3803, 4782, 6131, 6972, 7284, 935, 1175, 3143, 3990, 4551, 6195, 6302, 7264, 935, 1992, 3006, 4171, 5080, 5635, 7006, 8185, 935, 2017, 2989, 4171, 5159, 5630, 7132, 8267, 617, 2098, 2833, 3374, 4622, 5515, 7114, 8185, 617, 1586, 2880, 4166, 5060, 5296, 6589, 7838, 859, 2002, 2970, 3770, 5159, 6149, 6996, 7831, 555, 1586, 2554, 3478, 5079, 5241, 7157, 8185, 555, 1750, 2858, 3891, 4870, 5635, 7077, 8080, 488, 1528, 3117, 3367, 5060, 5219, 7090, 7715, 860, 1528, 2806, 3825, 4624, 5892, 6794, 8147, 860, 1528, 2806, 3825, 4704, 6139, 7077, 7715, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8147, 4, 2 ]

[ 1, 43, 48, 5, 76, 69, 30, 5, 43, 14, 75, 5, 64, 33, 30, 5, 31, 14, 66, 5, 76, 11, 78, 5, 31, 16, 5, 76, 39, 5, 52, 26, 41, 5, 76, 33, 54, 66, 5, 5, 3, 797, 2017, 3117, 3367, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 488, 1648, 3021, 4071, 4624, 6081, 7124, 7723, 859, 1623, 2880, 3367, 4681, 5635, 7077, 7717, 859, 1998, 2970, 3300, 5127, 6195, 7120, 7906, 223, 1519, 2383, 3425, 5040, 5389, 6466, 7948, 897, 1164, 2988, 3551, 4319, 6062, 7085, 8158, 896, 1692, 3018, 3709, 4321, 5273, 6619, 7384, 807, 1762, 3116, 3286, 4795, 5706, 6494, 7805, 487, 1302, 2267, 3631, 4882, 5695, 6875, 7751, 386, 1305, 2188, 3413, 4701, 5324, 6816, 8000, 223, 1566, 2429, 4046, 4514, 5730, 6442, 7426, 970, 1318, 2553, 4162, 5085, 5802, 6953, 7484, 1081, 1499, 2493, 4031, 4866, 5305, 7239, 8236, 643, 1548, 2860, 3307, 4857, 5835, 6630, 8107, 970, 1302, 3143, 3540, 4912, 5305, 6852, 7420, 678, 1672, 3053, 4145, 4518, 5385, 6540, 7720, 864, 1682, 2731, 3856, 4390, 5681, 6628, 8077, 864, 1776, 2743, 3279, 4929, 5288, 6419, 7759, 668, 1686, 2451, 3500, 4635, 5674, 6856, 7881, 876, 1315, 3030, 3623, 4419, 5651, 6442, 7276, 1080, 1531, 2994, 3812, 4513, 6135, 6542, 7584, 913, 1234, 3026, 3416, 4918, 5362, 6582, 7311, 1047, 1323, 2659, 4066, 5045, 5261, 6313, 7528, 620, 1176, 2958, 4008, 4776, 6179, 7232, 7919, 1019, 1173, 2186, 3376, 4556, 6130, 7193, 8246, 1038, 1686, 3055, 3376, 4556, 6024, 6944, 8079, 262, 1120, 2340, 3669, 5079, 5604, 6620, 7576, 401, 1415, 2330, 3983, 4215, 5981, 6528, 7843, 684, 2068, 3150, 3826, 5101, 5534, 6405, 8179, 571, 1562, 2838, 4018, 4366, 6182, 6852, 7500, 617, 2069, 2554, 4026, 5095, 5614, 6283, 7948, 1020, 2002, 3089, 3831, 4665, 5840, 6892, 8048, 225, 2030, 2490, 4153, 4638, 6077, 6761, 8099, 225, 1597, 2293, 3803, 5135, 6110, 6844, 7930, 225, 1468, 3089, 3394, 5165, 6110, 6816, 7723, 228, 1529, 2542, 4150, 4918, 6097, 7218, 7715, 228, 1851, 2282, 3188, 5159, 6137, 7152, 8076, 228, 2061, 3018, 3595, 4398, 5548, 7129, 7716, 228, 1851, 3021, 3623, 5079, 5548, 7239, 7876, 228, 2106, 3139, 3394, 5127, 6149, 7152, 8047, 256, 1874, 2554, 3470, 4287, 6117, 6752, 8126, 1056, 1400, 2659, 3394, 4616, 6146, 6827, 7948, 223, 1349, 2688, 3704, 4567, 5834, 6670, 7527, 1036, 1349, 2940, 3981, 4800, 5751, 6426, 7961, 692, 1714, 2332, 3500, 4620, 5560, 7123, 7544, 494, 1886, 2332, 3525, 4537, 5828, 6963, 8099, 862, 1916, 2365, 3953, 4559, 5697, 6965, 7649, 1080, 1664, 2332, 4010, 4559, 6048, 6706, 7255, 668, 1521, 2312, 4099, 4559, 5224, 6426, 8133, 692, 1637, 2636, 3372, 5122, 5555, 6905, 8145, 938, 1331, 2636, 3298, 4387, 5608, 6376, 7557, 571, 1175, 2870, 4078, 5153, 5378, 6551, 8126, 914, 1797, 2899, 3487, 5106, 5687, 6988, 8085, 304, 1280, 3064, 3645, 4912, 6123, 6979, 8076, 684, 1809, 3098, 3645, 4867, 6205, 7006, 7919, 308, 2000, 3095, 3710, 5104, 6211, 7058, 8076, 308, 1620, 3098, 3886, 4366, 6103, 6972, 8267, 308, 1620, 3098, 4039, 5038, 5832, 6996, 7641, 308, 1620, 2838, 3516, 5159, 6129, 7201, 7949, 308, 1750, 3008, 3945, 5104, 5705, 7077, 7806, 1097, 1467, 3008, 4174, 4287, 6139, 7201, 7766, 1097, 1467, 2806, 3825, 5159, 6139, 6972, 7949, 1097, 1467, 2806, 4071, 4822, 6211, 6709, 8260, 308, 1467, 2806, 3945, 5159, 5635, 7132, 8260, 308, 1467, 2924, 3990, 4630, 5968, 6996, 7485, 684, 1467, 2783, 3975, 4651, 6051, 6996, 8076, 844, 1324, 2469, 3253, 4856, 5378, 6604, 7965, 884, 1797, 2994, 3704, 5096, 6005, 6612, 7649, 1017, 1494, 2464, 3254, 4677, 5242, 6765, 7905, 261, 1548, 2626, 3495, 4539, 5400, 6357, 7405, 261, 1702, 2626, 3349, 4813, 6169, 6523, 7400, 581, 1521, 2239, 3572, 4707, 5687, 7247, 8140, 759, 1361, 2316, 3152, 4539, 5704, 6828, 7497, 942, 1471, 2449, 3530, 4597, 5594, 6334, 8015, 537, 1852, 2209, 3444, 4191, 5418, 7129, 7594, 1047, 1938, 2171, 3751, 4865, 5436, 6886, 7429, 942, 1664, 2332, 3512, 4881, 5438, 6760, 7379, 288, 1284, 2307, 3226, 5164, 5496, 6393, 7602, 935, 1976, 2932, 3803, 4276, 6085, 6891, 8185, 935, 1847, 3008, 3803, 5061, 5241, 6750, 7485, 818, 2017, 2803, 4150, 4888, 6182, 7077, 7887, 186, 2017, 2834, 4071, 4624, 6081, 6774, 7485, 186, 2017, 2164, 3206, 4798, 6081, 7201, 8196, 186, 2017, 2806, 3893, 4888, 5635, 7124, 7641, 186, 2017, 2914, 3367, 4888, 5635, 6774, 8223, 337, 2017, 2164, 3932, 4624, 5630, 6688, 7723, 186, 2017, 2914, 3825, 4888, 5901, 6794, 7764, 818, 1622, 2781, 3893, 4888, 5901, 6979, 8267, 1099, 2017, 3110, 3367, 4822, 5241, 7077, 7723, 804, 2046, 3095, 3671, 4798, 5635, 6996, 8179, 308, 1467, 2895, 3710, 5038, 5705, 6515, 8267, 663, 1897, 2340, 4018, 4872, 5241, 6542, 8179, 424, 1873, 2254, 3987, 5159, 6085, 6613, 8054, 776, 1146, 2703, 3990, 4912, 5340, 6809, 7949, 776, 1893, 2895, 4085, 4828, 6063, 7058, 7485, 104, 1660, 3061, 3684, 4870, 5289, 6752, 7908, 1025, 1874, 2460, 3755, 4415, 6190, 6292, 7908, 277, 2009, 2198, 3429, 4758, 6039, 6367, 8217, 1067, 1469, 3050, 3854, 4999, 6201, 6497, 7744, 888, 1469, 2689, 3439, 4668, 6197, 7133, 7298, 333, 2050, 2963, 3203, 4857, 5847, 6880, 7296, 888, 1659, 2321, 3299, 4683, 5205, 6695, 8075, 371, 1503, 3151, 3422, 5095, 5757, 7133, 8173, 942, 1407, 2239, 4165, 4713, 5225, 6605, 7524, 643, 1849, 2999, 3233, 4889, 5311, 7028, 7992, 970, 1818, 3085, 3793, 5130, 5550, 6402, 7311, 504, 1454, 2307, 3596, 5022, 5684, 6254, 7349, 678, 1490, 2783, 4022, 4936, 5899, 7018, 7508, 211, 1496, 2901, 3430, 4853, 5784, 6771, 8030, 317, 1146, 2163, 3407, 4267, 5456, 6563, 8149, 225, 1326, 3089, 3304, 4872, 5658, 6348, 8216, 225, 1620, 2677, 4073, 4560, 5776, 7237, 7402, 228, 1791, 3007, 3777, 5088, 5811, 6889, 7908, 240, 1752, 3000, 3231, 4776, 5705, 7163, 7918, 935, 2046, 2473, 3916, 4366, 6051, 6972, 8185, 405, 1467, 3110, 3914, 5058, 5705, 7069, 8061, 223, 2088, 2598, 4128, 4427, 5788, 7207, 8209, 1029, 1768, 3003, 4036, 4439, 5220, 6671, 8252, 668, 1503, 2994, 3997, 4191, 5899, 7025, 7273, 975, 1205, 3075, 3793, 4676, 6214, 6667, 7296, 386, 1582, 2705, 3279, 4548, 5914, 6903, 8255, 1029, 1897, 2137, 3384, 4445, 5382, 6898, 7721, 150, 1469, 2800, 3956, 4664, 5305, 7193, 7697, 940, 1665, 2373, 3238, 5079, 5873, 6302, 8060, 940, 1296, 2224, 3584, 5079, 6141, 6737, 7528, 1090, 1757, 3085, 4152, 4570, 5802, 6604, 7816, 1090, 1757, 2838, 3737, 5183, 5259, 6302, 7778, 643, 1919, 2363, 3707, 4983, 6166, 6584, 7959, 104, 1641, 2137, 4127, 4772, 6141, 6675, 7527, 536, 1542, 2282, 3414, 5130, 5523, 7022, 8123, 994, 1531, 2704, 3448, 5029, 5338, 7127, 7862, 994, 1826, 2868, 3222, 4735, 6176, 6900, 8069, 992, 2036, 2282, 3768, 4460, 6070, 6345, 8039, 992, 1808, 2359, 4074, 4835, 5980, 6433, 8163, 344, 1550, 2232, 3615, 5164, 5308, 6965, 7369, 807, 1296, 2883, 3599, 4211, 5620, 6304, 8082, 545, 1942, 2875, 3977, 4635, 5918, 6575, 7752, 807, 1411, 2554, 3167, 4354, 5956, 6354, 7288, 986, 1754, 2717, 3865, 4804, 6077, 6760, 7899, 1101, 1842, 2137, 4096, 4321, 5914, 6315, 7402, 271, 1164, 2282, 3167, 4989, 6123, 6224, 7260, 386, 1550, 2267, 3363, 4381, 5810, 7007, 8095, 504, 1831, 3126, 3376, 5043, 5474, 7160, 7740, 643, 1834, 2282, 3484, 4804, 5474, 7006, 7297, 504, 1550, 2656, 3973, 4912, 5944, 6980, 7312, 643, 1561, 2970, 3596, 5192, 5814, 7207, 8179, 678, 1684, 2797, 3671, 4387, 6051, 6255, 7384, 1056, 2021, 2989, 4026, 4427, 6103, 7129, 8126, 1037, 2079, 2970, 3188, 4617, 5424, 7129, 7992, 390, 1974, 2925, 3869, 5038, 6204, 6702, 7487, 1056, 1919, 2167, 3819, 4554, 6051, 6850, 8261, 678, 1992, 3064, 3909, 5085, 6195, 7023, 8066, 678, 1913, 2936, 3596, 4859, 6129, 7023, 8006, 1011, 1833, 2975, 3566, 5144, 5568, 7028, 8075, 620, 2050, 2349, 3828, 4935, 5368, 7058, 8247, 407, 1983, 2137, 3877, 4350, 6158, 6492, 8155, 508, 1743, 2583, 3630, 4273, 5491, 6295, 8058, 508, 1609, 2953, 3907, 4892, 5933, 6583, 7685, 1070, 1770, 2149, 3394, 5126, 5685, 6456, 7834, 868, 1780, 2751, 3690, 4818, 5611, 6346, 7947, 693, 2118, 2580, 3191, 4217, 5858, 7219, 7542, 774, 1496, 2553, 3394, 4568, 5645, 6357, 7586, 585, 1296, 2588, 4067, 5054, 5945, 7157, 8263, 1038, 1808, 2553, 3615, 4873, 5699, 6631, 7906, 104, 1411, 2697, 3395, 4495, 5806, 7229, 7598, 211, 1636, 2975, 3770, 4993, 6063, 7181, 7865, 833, 1171, 2971, 4026, 5079, 5761, 7058, 7952, 878, 1194, 2340, 3978, 4229, 6128, 6443, 7367, 878, 2060, 3092, 3879, 4248, 5600, 7192, 7949, 440, 2106, 2132, 4151, 4282, 5630, 6302, 8236, 256, 1833, 2340, 4015, 4918, 5890, 6704, 7477, 555, 1742, 2554, 3407, 4630, 5534, 7098, 8027, 935, 2046, 2781, 3732, 5088, 5296, 6979, 8080, 818, 1620, 2880, 4071, 4630, 6129, 7207, 8080, 510, 1620, 2806, 4011, 4888, 6211, 6996, 7806, 216, 1827, 3135, 4071, 4925, 5534, 6668, 8260, 223, 1761, 2294, 3540, 4856, 6085, 6786, 8252, 731, 2100, 3150, 4067, 4783, 5359, 7132, 8251, 1016, 1852, 3080, 3940, 5106, 5802, 7047, 7863, 277, 1633, 2916, 3806, 5085, 5866, 6938, 8138, 1003, 1477, 2170, 3427, 4762, 5475, 7179, 7850, 876, 1531, 2254, 3690, 4299, 5259, 6505, 7591, 870, 1984, 2455, 3768, 5110, 5393, 6467, 7852, 870, 1316, 2359, 3796, 4354, 5749, 6520, 8247, 1080, 2100, 2961, 3298, 4873, 5703, 6824, 7693, 1024, 2008, 2359, 3616, 5162, 5529, 7052, 8255, 643, 1834, 2254, 3376, 4856, 6105, 6768, 7421, 955, 1640, 2536, 4007, 4365, 5498, 6871, 8188, 211, 1992, 2729, 3357, 4902, 5568, 7004, 8079, 663, 1858, 2381, 4017, 4179, 5980, 6507, 8236, 980, 2024, 3033, 3873, 5153, 5788, 6719, 7756, 940, 1858, 3101, 3773, 4276, 5573, 7149, 7717, 288, 1209, 3064, 4145, 5127, 5565, 7207, 8076, 935, 1991, 2783, 4152, 4713, 5340, 6988, 8195, 186, 1175, 2991, 3886, 4529, 5534, 6752, 8080, 153, 1623, 2332, 3904, 5075, 5963, 6283, 8093, 555, 1349, 3135, 3932, 5159, 5797, 7207, 7806, 142, 2017, 3117, 4145, 4704, 5892, 7077, 8185, 142, 2017, 2806, 3825, 4704, 6186, 7239, 8223, 488, 2017, 3065, 3825, 4624, 5635, 7077, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 2914, 3893, 4624, 6081, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 20, 52, 5, 31, 45, 64, 5, 16, 51, 36, 30, 5, 64, 57, 5, 63, 14, 62, 16, 30, 52, 47, 5, 31, 14, 66, 5, 31, 16, 5, 66, 63, 14, 75, 16, 52, 35, 5, 64, 66, 69, 30, 5, 44, 54, 5, 31, 16, 5, 63, 57, 30, 5, 16, 5, 41, 77, 73, 5, 45, 54, 64, 66, 16, 54, 66, 64, 5, 14, 41, 66, 35, 5, 31, 16, 5, 16, 62, 64, 33, 66, 44, 55, 5, 17, 75, 5, 31, 16, 5, 65, 39, 78, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8147, 450, 1874, 2363, 3886, 4558, 6129, 7168, 7768, 915, 1622, 3095, 4114, 5060, 6195, 6604, 7720, 779, 1233, 2941, 3982, 4387, 5305, 7239, 7949, 716, 1476, 3090, 4130, 4316, 5864, 6387, 7992, 893, 1469, 3047, 4078, 5070, 5352, 6799, 7584, 150, 1805, 2286, 3609, 4834, 5912, 6346, 7841, 386, 1538, 2836, 3267, 4814, 5945, 7192, 8232, 386, 1251, 2239, 3847, 4810, 5606, 6659, 7879, 1024, 1469, 2808, 3508, 4759, 6032, 7023, 7930, 216, 1907, 2294, 3742, 5010, 5439, 7023, 8188, 335, 2100, 2493, 3992, 5143, 5797, 6668, 8076, 335, 1755, 2586, 3681, 4728, 6123, 6953, 7831, 731, 1900, 2244, 3201, 5060, 6087, 7201, 7948, 401, 1871, 2356, 4166, 4529, 5767, 6953, 7360, 571, 1851, 2732, 3726, 4861, 5824, 6515, 7816, 171, 1356, 2356, 3710, 4638, 5348, 7160, 8178, 987, 1668, 2271, 3321, 4852, 6160, 7232, 7607, 408, 1596, 2332, 4041, 4795, 5752, 6410, 7537, 204, 1828, 2829, 3227, 4470, 5724, 6963, 7393, 731, 1178, 2353, 3227, 4927, 6097, 6885, 8195, 756, 1400, 2238, 3241, 4966, 5386, 6874, 7677, 195, 1241, 2151, 3796, 5095, 5918, 6671, 7383, 195, 1814, 2946, 3394, 4836, 5797, 6847, 7658, 195, 2111, 2792, 4106, 4337, 6063, 6566, 8261, 195, 1176, 2287, 3413, 5007, 5746, 7006, 8179, 874, 1424, 2839, 4113, 5157, 6032, 6467, 8140, 225, 2111, 2781, 3987, 4681, 5760, 6498, 7753, 317, 2118, 2595, 3374, 4437, 5570, 7160, 7716, 105, 1620, 2659, 4145, 4870, 5385, 7160, 7509, 1056, 1768, 2708, 3292, 4261, 5889, 6486, 7899, 149, 1668, 2271, 4106, 4472, 5904, 6422, 8210, 952, 1421, 2709, 3987, 5100, 5758, 6719, 7248, 555, 1705, 2659, 3662, 5088, 6103, 6984, 7421, 684, 1332, 3095, 3918, 5083, 5844, 6760, 7602, 552, 1668, 3135, 3226, 4701, 5825, 7232, 7806, 293, 1601, 3041, 3917, 5019, 5361, 6254, 7683, 485, 1176, 2271, 4164, 4696, 5752, 6492, 7822, 579, 1627, 2750, 3828, 4879, 5474, 6856, 7329, 731, 1306, 2163, 3193, 4755, 5840, 6468, 7248, 781, 1828, 2427, 3511, 5135, 5333, 7068, 8178, 803, 1835, 2455, 3179, 4536, 5450, 6333, 7936, 386, 1828, 2235, 3997, 4862, 5955, 6695, 8235, 814, 1496, 2429, 3398, 4356, 5859, 6517, 7627, 761, 1435, 2661, 3944, 4592, 5480, 7143, 8037, 1029, 1758, 2915, 3505, 4764, 5879, 6333, 8002, 1062, 1594, 2188, 3375, 4423, 5783, 6578, 7711, 1001, 1850, 2188, 3857, 4683, 6215, 6632, 7944, 536, 1758, 2789, 3192, 4325, 5536, 6610, 8099, 887, 1586, 2248, 3815, 4683, 5985, 7191, 7939, 887, 1510, 2248, 4166, 4843, 6163, 7037, 7437, 356, 1139, 3095, 3662, 4946, 6014, 6809, 8078, 308, 1467, 3135, 4150, 4859, 5901, 7090, 7664, 256, 1721, 2820, 3909, 5138, 5740, 6283, 8016, 654, 1998, 3135, 3394, 4877, 5761, 7002, 7720, 824, 2013, 2593, 3769, 4801, 5684, 6371, 7791, 195, 1524, 2775, 3723, 4344, 5548, 6571, 7515, 276, 1424, 2556, 3171, 4549, 5587, 6485, 7333, 225, 2106, 2820, 3535, 5166, 5942, 6740, 7716, 568, 1874, 3062, 4006, 4412, 6097, 6333, 8213, 568, 2065, 2473, 3420, 5088, 5612, 6575, 8210, 274, 1826, 2991, 3297, 5153, 5837, 7126, 8085, 952, 2085, 3075, 3857, 5127, 5521, 7184, 7776, 716, 1463, 2247, 4155, 5049, 5942, 6484, 8212, 498, 1723, 2655, 3241, 4911, 6104, 6622, 7309, 1024, 1407, 2361, 3840, 4379, 5448, 6292, 8151, 1024, 1469, 2407, 3997, 5125, 6087, 6229, 7697, 547, 1935, 2985, 3799, 4281, 5769, 6358, 8239, 1051, 1120, 2493, 3704, 4239, 5935, 6370, 7955, 678, 1331, 2925, 3819, 5143, 5769, 7132, 7658, 951, 1778, 2465, 3803, 4861, 6123, 6809, 7584, 110, 1315, 3128, 3521, 4924, 6205, 6884, 7716, 955, 1992, 3060, 4081, 4630, 5893, 7217, 8260, 401, 1823, 3046, 3962, 4743, 5515, 6265, 7598, 390, 1998, 3135, 3990, 4470, 5438, 6771, 7936, 390, 2046, 3135, 4067, 5060, 5438, 7157, 7485, 614, 2088, 3095, 3318, 5183, 6111, 6408, 8080, 1057, 1275, 2436, 3475, 4437, 5923, 7167, 7746, 814, 1770, 3141, 3171, 5096, 5641, 6273, 8212, 1052, 1653, 3132, 3349, 4486, 6120, 6937, 7574, 319, 1490, 2679, 3611, 4468, 5691, 7043, 7652, 1049, 1346, 2233, 3424, 5115, 5226, 6324, 7427, 952, 1346, 2955, 3613, 4255, 6047, 7087, 7574, 448, 1776, 2836, 3720, 4654, 5325, 6605, 8018, 844, 1756, 2945, 3184, 5160, 5606, 6582, 8189, 970, 2065, 2944, 3540, 4781, 6196, 7074, 8082, 956, 2000, 2944, 3970, 5075, 5385, 6346, 7948, 1097, 1791, 2838, 3803, 5058, 5216, 6996, 8185, 935, 1992, 2803, 4018, 5060, 6146, 6972, 8083, 935, 1218, 3095, 4114, 5058, 5824, 6794, 7949, 935, 1218, 2164, 3990, 4713, 5705, 6988, 8195, 572, 1677, 2163, 3410, 5120, 5456, 6382, 8044, 1071, 1570, 2694, 4026, 5031, 5202, 6938, 7927, 646, 1510, 2910, 3733, 4716, 5835, 6775, 8050, 459, 2095, 2453, 3485, 4689, 5836, 6947, 8047, 678, 1560, 2327, 4082, 4330, 6004, 7154, 7515, 512, 1218, 2839, 3238, 4617, 5980, 7172, 7547, 211, 1373, 2728, 4145, 4925, 6163, 6871, 7948, 103, 1932, 3008, 3681, 4289, 5978, 6348, 7481, 309, 1633, 2839, 3639, 4561, 5661, 6492, 8185, 545, 1496, 2326, 3253, 4255, 5414, 6605, 7481, 938, 1496, 2797, 4017, 4887, 6006, 6564, 7578, 938, 1346, 3130, 3949, 5155, 5601, 6410, 7561, 938, 1346, 2732, 3231, 4191, 5450, 6728, 7561, 970, 1346, 2629, 3895, 4832, 5504, 6724, 7462, 234, 1496, 2724, 3864, 4437, 5656, 6514, 7777, 702, 1695, 2951, 3454, 4223, 5828, 6443, 7401, 702, 1695, 2692, 3421, 4663, 5584, 6631, 8265, 1080, 1905, 2273, 4072, 4953, 5390, 6303, 8039, 668, 1669, 2464, 3792, 4213, 5584, 6244, 7529, 326, 1118, 2355, 3387, 4504, 5325, 6240, 7279, 545, 1831, 2453, 3356, 5149, 5585, 6863, 7648, 448, 1831, 2218, 4037, 5092, 6165, 6348, 7524, 304, 1756, 2187, 3405, 5184, 5434, 7043, 7799, 390, 1905, 2396, 3924, 4916, 5748, 7019, 7542, 356, 1905, 2582, 3882, 5031, 5474, 7120, 7879, 804, 1620, 2872, 3914, 5080, 5963, 7129, 7677, 818, 1791, 2946, 3645, 4387, 5630, 7120, 7887, 956, 2068, 2991, 3866, 5058, 6051, 7120, 8195, 956, 1945, 3117, 3982, 4980, 5612, 7132, 7421, 956, 2017, 3117, 3990, 4888, 6103, 6786, 8260, 818, 1622, 3117, 4108, 4798, 5612, 7239, 7766, 818, 2017, 2914, 3188, 5104, 6139, 7124, 7766, 488, 1528, 2164, 4108, 4624, 6139, 7239, 7421, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8223, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 171, 1175, 2163, 3955, 5042, 5893, 7149, 7476, 878, 1424, 2944, 3975, 4762, 5305, 6574, 8248, 323, 1499, 2944, 4003, 5051, 5317, 6359, 8067, 867, 2067, 2355, 3735, 4468, 5298, 6359, 8017, 616, 1346, 2704, 3551, 4464, 5745, 6411, 7869, 1037, 1265, 2421, 3487, 5160, 5702, 6901, 8263, 984, 1804, 2436, 3908, 4856, 5581, 6391, 7732, 899, 2030, 2944, 3271, 5195, 6131, 7207, 7770, 789, 1937, 2468, 4078, 4226, 5795, 7023, 7547, 878, 1452, 3062, 3789, 4530, 5610, 6838, 8027, 500, 2065, 2341, 4166, 5050, 5705, 6286, 8164, 767, 2065, 2775, 3776, 4713, 5677, 6486, 7959, 318, 1323, 2481, 3245, 4611, 5906, 6901, 8236, 266, 1283, 2920, 3323, 4645, 5361, 6970, 8079, 613, 1918, 2775, 4085, 5034, 5415, 6864, 7777, 1099, 1847, 2326, 3914, 4822, 5661, 6588, 7664, 510, 1992, 3110, 3891, 5183, 6195, 7120, 8076, 935, 1804, 3095, 4115, 4980, 6129, 7084, 7485, 684, 2068, 2936, 3710, 5075, 5749, 6709, 8083, 452, 1131, 2492, 3168, 5050, 6012, 6808, 7793, 421, 1756, 2469, 3874, 4546, 5810, 7160, 7904, 568, 2011, 2316, 3300, 5092, 5730, 7090, 7873, 579, 1119, 2669, 3300, 4558, 5650, 6477, 7365, 373, 1758, 3043, 3901, 5194, 5968, 6486, 7881, 858, 1854, 2453, 3687, 4724, 5418, 7220, 8124, 1013, 1835, 2242, 3735, 4222, 5871, 6645, 7951, 867, 1758, 2951, 3557, 4613, 5697, 7068, 8104, 803, 1368, 3094, 3318, 4218, 6143, 6625, 7561, 117, 1848, 2242, 3895, 4440, 5975, 6873, 8038, 665, 1303, 2355, 3904, 4340, 5854, 6240, 8124, 569, 1230, 2233, 3770, 4905, 5364, 6651, 8230, 864, 1934, 2165, 3551, 4354, 5651, 6831, 8002, 1056, 1175, 2436, 3505, 4717, 5463, 6408, 7985, 1056, 1945, 2586, 4103, 5096, 5548, 7047, 7772, 440, 1241, 3150, 3649, 4181, 5272, 7160, 7421, 756, 1660, 2925, 3511, 4555, 5782, 6521, 8195, 516, 2125, 2536, 4115, 4374, 6204, 6755, 7437, 231, 1989, 2975, 3449, 5193, 5752, 7019, 7962, 752, 1199, 2795, 3258, 5124, 6120, 6687, 7367, 814, 1129, 2868, 3582, 4533, 5600, 6408, 7904, 665, 1828, 2846, 3580, 4512, 6002, 6665, 7559, 665, 1244, 2474, 3239, 5114, 5390, 7029, 7648, 876, 2055, 2163, 3992, 4201, 5300, 6485, 8082, 993, 1510, 2573, 3201, 4949, 5570, 6435, 8022, 936, 2059, 3037, 3558, 4321, 5372, 6951, 8095, 1005, 1507, 2678, 4038, 4239, 5482, 7053, 7299, 223, 1557, 2326, 3582, 4819, 5589, 6723, 7637, 317, 1462, 2160, 3585, 5169, 5353, 6558, 8232, 225, 2002, 3112, 3770, 4513, 5778, 6579, 8093, 225, 2064, 3135, 3970, 5104, 5968, 6284, 8117, 225, 1494, 3135, 3873, 4483, 5536, 6959, 7838, 195, 2002, 2875, 3993, 4650, 5514, 6668, 8033, 195, 2002, 2875, 4092, 4849, 5640, 6671, 7559, 225, 1452, 3135, 4037, 4576, 5514, 7152, 7732, 518, 2127, 3064, 3662, 4764, 6059, 7038, 7773, 789, 2127, 2858, 3803, 4993, 5811, 7069, 8130, 789, 2078, 3021, 4114, 4214, 6175, 7082, 8262, 789, 2078, 3065, 3555, 4622, 5892, 7006, 8080, 118, 1491, 2992, 3792, 4192, 5500, 6740, 7538, 1020, 1749, 2629, 3509, 5040, 5827, 6858, 7397, 1102, 2065, 2940, 3955, 4470, 5296, 6338, 7291, 318, 1742, 2573, 3537, 5081, 5606, 6689, 7965, 802, 1335, 2667, 3175, 4459, 5889, 6622, 8193, 802, 1407, 2750, 3649, 4420, 5325, 6945, 7898, 802, 1269, 2750, 3442, 4338, 5819, 6662, 7877, 117, 1141, 2455, 3499, 4256, 6073, 6680, 7337, 1019, 1510, 2357, 4037, 4335, 5753, 6957, 8173, 759, 1171, 2400, 3421, 4636, 5633, 6849, 7494, 448, 1832, 2454, 4027, 4402, 6189, 6348, 8077, 886, 1306, 2658, 3421, 4935, 5314, 6277, 7262, 1101, 1797, 2730, 3973, 4435, 6002, 6802, 7810, 993, 1938, 2751, 3810, 4916, 5637, 7019, 7971, 936, 1794, 3040, 3517, 4321, 5377, 7212, 7393, 802, 1543, 2156, 3329, 4764, 5638, 6680, 7585, 752, 1628, 2154, 3669, 4619, 5216, 6373, 7702, 1035, 1771, 3033, 3201, 4983, 5981, 7047, 7438, 1033, 1670, 2678, 4096, 4749, 5968, 7106, 7676, 643, 1820, 2868, 3537, 4697, 5646, 7169, 8126, 150, 1797, 2737, 4093, 4807, 5360, 6776, 8188, 1025, 1982, 2868, 3222, 4741, 5678, 6725, 7555, 761, 1621, 2163, 3619, 5022, 6152, 7135, 7685, 784, 1199, 3085, 4103, 4532, 5327, 6272, 8222, 1101, 1199, 2901, 3885, 4966, 5713, 6651, 7401, 643, 1582, 2807, 3421, 4326, 6032, 7213, 7367, 887, 1582, 2383, 3613, 4420, 5369, 6761, 7962, 150, 1619, 2483, 3358, 4373, 5976, 7234, 8058, 1035, 1444, 2347, 3707, 4815, 5659, 6891, 7570, 211, 1771, 2936, 3175, 5143, 5832, 7195, 7264, 211, 1620, 3140, 3442, 5053, 6103, 6620, 8237, 663, 1350, 2798, 3681, 4454, 5978, 6953, 8083, 424, 1499, 3095, 3990, 4782, 5590, 6852, 8252, 1090, 1175, 2769, 4041, 4589, 5968, 6688, 8054, 826, 1453, 2383, 3325, 5018, 5279, 6540, 7253, 826, 1236, 2204, 3884, 5121, 5862, 7163, 8206, 535, 1782, 2321, 3778, 4982, 5591, 6387, 7428, 277, 1674, 3146, 3701, 4986, 5344, 6557, 7941, 277, 1674, 2261, 3882, 4348, 5222, 6269, 7317, 436, 1633, 2352, 3521, 4518, 5447, 6536, 8055, 876, 1251, 2175, 3950, 4241, 5332, 6595, 7894, 876, 1771, 2175, 3700, 4751, 5787, 6452, 7739, 876, 1771, 2506, 3681, 5108, 6080, 6426, 8006, 876, 1205, 2506, 3385, 4774, 5928, 6273, 7875, 876, 1838, 2495, 3400, 5023, 5429, 6458, 7845, 1022, 2050, 2750, 4054, 5181, 5594, 6736, 7757, 150, 2050, 2968, 3298, 4927, 6095, 6881, 8031, 150, 1969, 2998, 3814, 5177, 5844, 7035, 8230, 266, 1633, 2261, 3847, 5188, 6162, 7061, 7923, 643, 2117, 2749, 3960, 4982, 5838, 6746, 7995, 887, 1543, 2209, 3488, 5142, 5474, 7227, 7603, 1101, 1924, 2966, 3960, 4435, 5452, 6974, 7689, 1029, 1554, 2361, 3729, 5129, 5616, 6348, 8033, 386, 1407, 2361, 3600, 5030, 5272, 6438, 7995, 266, 1777, 2393, 3960, 5074, 5344, 7129, 7467, 386, 1337, 2369, 4120, 4667, 5749, 6488, 7994, 804, 1509, 2293, 3543, 4239, 5482, 6805, 8107, 390, 1700, 2167, 3680, 4630, 6103, 6996, 7816, 844, 1601, 3033, 3857, 4804, 5904, 6777, 7410, 299, 1510, 2312, 4101, 4943, 5672, 6262, 7991, 299, 1828, 2312, 3395, 4604, 5981, 6504, 8220, 974, 1244, 2868, 3956, 5164, 5441, 6493, 7912, 955, 2091, 2352, 3175, 4565, 6005, 6319, 7959, 256, 2012, 3006, 3771, 4366, 5918, 6283, 8076, 256, 1998, 2503, 3827, 4925, 5340, 6291, 8236, 518, 2030, 2414, 3931, 4611, 6080, 7098, 8150, 256, 2095, 2473, 3171, 5073, 5694, 7220, 7753, 440, 1623, 2468, 4027, 5083, 6146, 6889, 8209, 518, 1847, 3062, 3420, 4870, 5837, 6966, 7876, 757, 1623, 2542, 3710, 4870, 5500, 6607, 7643, 105, 1623, 2454, 3932, 4555, 6101, 6338, 8078, 308, 2008, 2717, 3515, 4318, 5824, 6715, 7717, 752, 1637, 2842, 3983, 4782, 5629, 6762, 7557, 986, 1782, 2805, 3503, 5042, 5389, 6313, 7816, 487, 1562, 3098, 4049, 4764, 5637, 6883, 8262, 314, 1806, 2655, 3276, 4320, 5616, 6612, 7435, 643, 1252, 2924, 3682, 4417, 5490, 7232, 7980, 685, 1917, 2710, 4066, 4983, 6154, 7143, 7752, 948, 1415, 3092, 3727, 4860, 5586, 6898, 8270, 1011, 1838, 3108, 3316, 5127, 6192, 6796, 7615, 643, 2035, 2595, 3488, 4803, 5661, 7160, 8179, 504, 1318, 2880, 3856, 4859, 6063, 6953, 7783, 643, 1563, 2659, 3727, 4697, 6085, 6953, 7902, 266, 1924, 3092, 3727, 4492, 5844, 7099, 8197, 574, 1596, 3033, 3416, 5088, 5697, 7074, 7383, 1101, 1510, 2933, 3522, 4723, 5695, 7030, 7559, 1057, 1283, 2583, 4137, 5000, 5760, 6574, 7429, 487, 1915, 2589, 4062, 4903, 5337, 6944, 7815, 610, 1876, 2151, 4150, 4859, 5863, 6525, 7913, 610, 1948, 2729, 3540, 5088, 6026, 6458, 7720, 1025, 1227, 2944, 3193, 4870, 5678, 6709, 7992, 643, 1494, 3098, 3707, 4734, 6025, 7207, 7767, 104, 1676, 2165, 3870, 4981, 5508, 6589, 8245, 955, 1914, 2900, 4006, 4241, 6040, 6241, 8066, 228, 1716, 3007, 4125, 5166, 5883, 6979, 8076, 225, 2083, 2691, 3967, 4622, 6175, 6338, 7819, 195, 1721, 3091, 3420, 4450, 5586, 7224, 8016, 225, 2079, 2792, 3350, 4925, 6175, 7232, 7706, 228, 1112, 2904, 3770, 4863, 6097, 7173, 8267, 240, 1756, 2970, 3297, 5167, 5705, 7207, 7476, 789, 1756, 3135, 3803, 4859, 6182, 7006, 8260, 419, 2017, 2729, 4011, 5038, 5678, 7201, 7949, 419, 2017, 3135, 4113, 4798, 5677, 6988, 8076, 256, 2127, 2944, 3595, 4887, 5378, 6604, 8209, 225, 1108, 3139, 3595, 4398, 5723, 6979, 8061, 448, 1331, 2315, 3993, 4716, 5942, 6966, 7781, 1033, 1521, 2836, 3394, 4620, 6206, 6480, 7893, 540, 2118, 2346, 3616, 4776, 5370, 6894, 7574, 386, 1794, 2156, 4037, 4709, 5889, 6491, 8024, 970, 1688, 2156, 3979, 4800, 5746, 6704, 7498, 304, 1992, 2794, 4087, 4588, 5630, 6251, 7641, 970, 1521, 3080, 3390, 4622, 5981, 6574, 7508, 504, 1858, 2613, 3233, 4592, 5388, 6225, 7704, 955, 1234, 3037, 3771, 4536, 5687, 6980, 7427, 731, 1721, 2421, 4011, 5165, 6058, 6774, 7995, 304, 1556, 3144, 4027, 4549, 5830, 7023, 7716, 654, 1280, 2181, 3407, 5020, 6155, 6443, 7959, 127, 1206, 2998, 3710, 4179, 5573, 7010, 7570, 127, 1623, 2221, 4137, 5026, 5507, 6584, 7826, 518, 1562, 3133, 3218, 4522, 5360, 6871, 8260, 518, 1750, 2638, 3866, 4374, 6085, 6632, 8085, 256, 1468, 2542, 3595, 4716, 5378, 6909, 8126, 256, 1286, 2858, 3595, 5061, 5515, 6840, 8262, 915, 1961, 2833, 3914, 4704, 5678, 6612, 8147, 915, 1961, 2914, 3825, 4555, 5635, 6996, 7485, 543, 1623, 3007, 4125, 4555, 5493, 7047, 7485, 105, 1847, 3064, 3838, 4387, 5493, 6604, 7677, 419, 1684, 2970, 4071, 4704, 6103, 6752, 8126, 105, 1332, 2432, 3595, 4985, 5385, 6579, 8093, 617, 1971, 2959, 3681, 5060, 6085, 6688, 8236, 617, 2106, 3143, 3595, 4513, 5527, 7237, 8209, 617, 1147, 2959, 4166, 4583, 5811, 6688, 8262, 617, 1304, 3143, 3815, 4512, 5608, 6414, 8185, 617, 1332, 2959, 3595, 4790, 5590, 7232, 7264, 617, 1727, 2833, 3176, 4790, 5514, 6614, 8261, 552, 1332, 2138, 4105, 5160, 5850, 6579, 8262, 337, 1349, 3143, 3391, 4291, 5968, 6972, 8261, 337, 1424, 2839, 3352, 5038, 5219, 6515, 7458, 860, 2032, 2806, 3803, 4704, 5385, 6988, 8093, 186, 2017, 2164, 4018, 4624, 5241, 7077, 8237, 645, 2118, 2803, 3975, 5060, 5809, 6962, 7842, 242, 1329, 2380, 3747, 5149, 6095, 6318, 7585, 293, 1719, 3080, 4142, 4472, 5571, 6359, 8131, 950, 1971, 2836, 3794, 4503, 5766, 6537, 7276, 226, 2047, 2531, 3483, 4879, 5716, 6872, 7690, 302, 1231, 2626, 3960, 4823, 5831, 6901, 7793, 1080, 1563, 2299, 4043, 4719, 6207, 7247, 7953, 262, 1496, 2766, 3552, 4758, 6100, 6396, 7293, 304, 1682, 2844, 3175, 4715, 5440, 7085, 8225, 804, 1907, 2643, 3891, 4635, 5590, 7132, 8038, 256, 1175, 2960, 4113, 4681, 6070, 6704, 8150, 440, 1175, 2970, 3804, 5183, 6010, 6854, 7889, 440, 1179, 2163, 3776, 4776, 5318, 7047, 7706, 1015, 1674, 2455, 3366, 4993, 6149, 7152, 7597, 186, 2097, 3043, 3803, 4179, 5687, 6750, 8126, 984, 1664, 2803, 3990, 4558, 5687, 7201, 7948, 935, 1623, 2925, 3240, 4762, 5550, 7069, 8237, 356, 1304, 2970, 3240, 4533, 5981, 7127, 7706, 105, 1961, 2858, 3413, 4179, 5963, 7217, 8191, 767, 1773, 2959, 3999, 5040, 5784, 7103, 7591, 166, 1621, 2429, 3540, 5075, 5320, 6938, 8234, 363, 1557, 2357, 3245, 4778, 5719, 6563, 8234, 504, 1523, 2309, 3788, 4278, 5450, 7148, 8156, 1025, 1773, 3130, 3838, 4335, 5684, 6612, 8215, 955, 1276, 2503, 3487, 4848, 6175, 7242, 8260, 756, 1275, 2838, 3680, 4556, 5378, 6894, 7476, 440, 1946, 3008, 3866, 4536, 5974, 6614, 8130, 440, 1797, 2468, 3922, 4210, 5590, 7207, 8117, 613, 1349, 2492, 3564, 4855, 5303, 6456, 8269, 1033, 1797, 2775, 3516, 4541, 5942, 6715, 7799, 314, 1797, 2487, 3243, 5023, 6216, 6704, 7318, 993, 1561, 2464, 3811, 4804, 5563, 6746, 7584, 545, 1816, 2817, 3363, 4321, 5523, 6876, 8254, 545, 1428, 2872, 3695, 5040, 5594, 6286, 8263, 986, 1721, 2794, 3358, 4611, 5429, 6480, 7574, 986, 1978, 2346, 4132, 4665, 5706, 6365, 7961, 545, 1721, 2598, 3425, 5160, 5712, 6625, 7898, 545, 1575, 2136, 4095, 5090, 6040, 6224, 7524, 665, 1541, 2869, 3298, 4663, 5415, 7220, 7967, 665, 1273, 2464, 3543, 4320, 5603, 6737, 7860, 262, 1507, 2678, 3215, 4320, 5526, 6925, 7365, 1056, 1797, 2214, 3593, 4762, 6006, 7058, 7555, 427, 1557, 2729, 3671, 4215, 5981, 6771, 7641, 859, 2000, 2429, 3352, 4359, 6009, 6991, 7876, 914, 1791, 2746, 3819, 4573, 5219, 7207, 7485, 804, 2024, 2340, 3253, 5088, 5883, 6786, 8093, 276, 1557, 2340, 3704, 4949, 6191, 6746, 7429, 334, 1424, 2791, 3932, 4459, 5865, 6422, 7906, 225, 1396, 2565, 3596, 5007, 5640, 6486, 7816, 654, 1529, 2469, 3648, 4536, 6175, 6668, 7831, 518, 2127, 2316, 3376, 4925, 5892, 6768, 7485, 127, 2078, 2683, 3891, 4622, 5493, 6840, 7509, 240, 1525, 2806, 3803, 4916, 5241, 6584, 8061, 240, 1525, 3135, 3838, 5081, 5580, 7069, 7948, 256, 1756, 3139, 3391, 5061, 6110, 7201, 8061, 304, 1218, 2750, 3993, 4890, 5942, 7069, 8239, 716, 1583, 2134, 3158, 4307, 6222, 6762, 7669, 681, 1719, 2355, 3292, 5074, 6197, 6813, 7885, 1100, 1140, 2823, 3743, 5146, 5353, 6654, 7852, 665, 1140, 2271, 3539, 4800, 6033, 6550, 8143, 115, 1349, 2362, 3660, 4934, 6002, 6483, 8073, 974, 1286, 2724, 4037, 4353, 5552, 6904, 7618, 678, 1971, 2724, 3819, 4636, 6201, 6689, 7733, 715, 1683, 2646, 4125, 4856, 6137, 6828, 8044, 955, 1548, 2542, 3467, 4727, 5695, 6528, 7732, 516, 1120, 2736, 3827, 4611, 5749, 7135, 7827, 487, 1120, 3033, 3370, 4707, 5417, 6762, 7324, 986, 1178, 2594, 4037, 4184, 5722, 6545, 8098, 582, 1653, 2463, 3525, 4330, 5757, 6550, 8189, 806, 1669, 2453, 3551, 4912, 5474, 6704, 7687, 487, 1399, 2407, 3874, 4421, 5652, 7200, 8061, 408, 1255, 2515, 3669, 4421, 6222, 7157, 7965, 850, 1717, 2925, 3355, 4297, 5478, 6812, 7509, 610, 1455, 2902, 3316, 4942, 5684, 6870, 8238, 887, 1541, 2902, 3910, 4813, 5981, 7120, 7815, 104, 1118, 2248, 3695, 4716, 5980, 7203, 7474, 868, 1636, 3033, 3212, 4421, 5766, 7215, 7525, 536, 2118, 2259, 3245, 4281, 5538, 6819, 7985, 536, 1509, 2846, 3357, 4327, 5792, 7131, 7475, 887, 1463, 2573, 4055, 4372, 6070, 6871, 7490, 390, 1770, 2232, 3676, 4426, 5705, 6996, 8130, 512, 1675, 3095, 4041, 4925, 5534, 7220, 7485, 955, 1750, 2943, 4041, 4586, 6063, 7160, 8016, 825, 2114, 2860, 3795, 5062, 6080, 6985, 7834, 317, 1759, 3033, 3424, 4872, 5818, 6730, 8017, 802, 2118, 3078, 3970, 5169, 6007, 6749, 7367, 1029, 1472, 2536, 3543, 4365, 6175, 7238, 8217, 465, 1692, 2725, 3616, 5073, 5980, 6723, 7823, 1025, 1561, 2361, 3642, 4983, 5408, 6840, 7578, 356, 2008, 2791, 3857, 4611, 5864, 6918, 8016, 568, 2077, 2610, 3811, 4681, 5580, 6443, 8077, 568, 1985, 2718, 3922, 4868, 6213, 6248, 8022, 568, 1372, 2402, 3555, 4576, 6147, 6430, 8262, 118, 1291, 2181, 4145, 4834, 6175, 6717, 8187, 118, 1280, 2181, 4096, 5190, 6118, 7163, 8126, 118, 1286, 2181, 3771, 4775, 5875, 7160, 7810, 859, 1752, 3133, 3983, 4849, 5723, 7120, 7706, 571, 1620, 2432, 3909, 5137, 5677, 6256, 7764, 658, 1815, 2903, 3596, 4810, 5653, 6651, 8211, 1009, 1388, 3059, 3910, 4376, 6118, 7123, 7457, 266, 1905, 2911, 4143, 5113, 6033, 6952, 7259, 981, 1782, 2690, 3329, 5195, 5665, 6880, 7625, 504, 1905, 3126, 3639, 4224, 6179, 6751, 7297, 940, 1905, 3149, 3792, 4500, 6115, 6917, 7496, 1033, 1905, 3066, 3992, 4916, 5776, 6476, 7800, 487, 1935, 2355, 3169, 4354, 5386, 6900, 7419, 986, 1924, 2912, 3595, 5138, 6167, 7129, 7510, 1090, 1640, 2797, 3551, 5125, 6119, 6224, 7426, 160, 1942, 2222, 3711, 4852, 5325, 6879, 8267, 424, 1808, 2990, 3316, 4670, 5935, 6614, 7652, 610, 1834, 2939, 3770, 4582, 6006, 6476, 7811, 756, 1640, 2922, 3770, 4352, 5614, 6254, 7810, 715, 2095, 2355, 3425, 4860, 5478, 6959, 7955, 756, 1834, 2453, 3193, 4374, 5430, 6978, 7365, 1037, 1178, 2327, 3992, 4916, 5527, 6612, 7395, 940, 1550, 2515, 3891, 5160, 6001, 7147, 7732, 756, 1948, 3091, 3793, 4231, 5960, 6840, 8080, 715, 2081, 2717, 3904, 4421, 6086, 6657, 8227, 678, 1550, 2629, 3560, 4510, 5918, 6270, 8230, 1037, 1485, 2327, 3582, 5061, 5893, 7006, 8033, 756, 1591, 3053, 3297, 4832, 6195, 6813, 7727, 317, 1540, 2175, 3886, 4945, 5880, 7052, 8036, 228, 1933, 2751, 3671, 4916, 5880, 6684, 7723, 654, 1241, 2137, 3316, 4863, 5865, 6603, 7706, 127, 1313, 2542, 3448, 4412, 5795, 6733, 7929, 240, 1525, 2803, 3550, 5038, 5514, 6612, 7717, 240, 1847, 2468, 3595, 4775, 5548, 6914, 8179, 654, 1504, 2137, 4145, 4622, 6085, 7038, 7557, 183, 1750, 2803, 3586, 5097, 5767, 6671, 8262, 859, 2127, 2554, 3470, 4870, 5767, 6715, 8093, 915, 1961, 2833, 3803, 5166, 6081, 6996, 8260, 419, 2017, 2833, 3803, 4877, 5514, 6996, 8260, 915, 1961, 2806, 3914, 4704, 5241, 6612, 8196, 915, 2017, 2164, 3825, 5138, 6186, 7226, 7563, 488, 1528, 3065, 3825, 4877, 6139, 7226, 8223, 488, 1528, 3065, 3825, 4624, 5677, 6794, 7715, 488, 1622, 3065, 3825, 4704, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 4, 2 ]

[ 1, 28, 44, 51, 20, 78, 5, 77, 73, 5, 76, 45, 52, 5, 43, 48, 63, 5, 17, 75, 5, 53, 48, 5, 11, 54, 5, 31, 16, 5, 52, 48, 64, 66, 5, 16, 52, 11, 63, 53, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 488, 1528, 2957, 3825, 4980, 6139, 7201, 8260, 488, 1622, 2164, 3893, 4624, 6081, 7201, 7949, 488, 1622, 2164, 3893, 4980, 6085, 6972, 8260, 1097, 1467, 2949, 4166, 5058, 6129, 7239, 7766, 955, 1827, 2957, 3987, 4870, 6085, 6709, 7723, 660, 1561, 2987, 3522, 4953, 5548, 6898, 7810, 657, 1561, 2610, 3714, 4702, 6034, 6632, 7873, 1083, 1550, 2610, 3888, 4717, 5490, 6684, 7524, 373, 1550, 2692, 3358, 4691, 6172, 7045, 7849, 804, 1937, 2895, 4115, 4589, 5425, 6740, 7528, 1097, 2000, 3021, 3945, 5038, 5514, 7100, 7421, 143, 1935, 2627, 4126, 4460, 5573, 6376, 8083, 165, 1552, 2850, 3874, 5048, 5249, 6766, 7625, 91, 1396, 3000, 3940, 5146, 5397, 6564, 8201, 319, 1463, 2565, 4059, 4808, 5314, 6473, 8171, 271, 1507, 2400, 3937, 4579, 5331, 7200, 7401, 344, 1838, 2345, 3537, 4687, 5315, 6626, 7992, 884, 1838, 2835, 3986, 4455, 5562, 6736, 7798, 936, 2070, 2588, 3480, 4950, 6135, 6626, 7331, 936, 1674, 2146, 3202, 4889, 5934, 6458, 7513, 936, 1674, 2146, 3751, 4642, 5745, 7144, 7620, 936, 2070, 2175, 3202, 4578, 5745, 6944, 7545, 936, 2075, 2175, 3357, 4636, 5495, 6399, 7534, 895, 2084, 2175, 3913, 4579, 6038, 7117, 8234, 691, 1660, 2868, 3751, 4992, 5492, 7140, 7836, 699, 2088, 3130, 3470, 4831, 5441, 7009, 7659, 228, 1707, 2188, 3273, 4949, 5320, 6947, 7277, 225, 1961, 2128, 3662, 5122, 6120, 6584, 8202, 225, 1684, 2661, 3503, 4863, 5283, 7114, 8033, 225, 1623, 3120, 4145, 4863, 6213, 7058, 8236, 568, 1269, 2490, 3547, 5142, 5968, 6688, 8078, 568, 1623, 2942, 3540, 4315, 5223, 6809, 7716, 231, 1700, 2383, 3891, 5098, 5218, 6255, 8164, 955, 1633, 2369, 3359, 4545, 5586, 6613, 7959, 685, 2127, 2795, 3792, 4778, 5787, 6702, 8090, 1052, 1695, 3029, 3472, 4845, 5315, 7013, 7575, 807, 1403, 2529, 3782, 4717, 6167, 7193, 8262, 326, 1782, 2529, 3844, 4604, 5468, 7181, 7724, 363, 1734, 2847, 3575, 4590, 5594, 6816, 7389, 611, 1164, 2995, 3687, 4775, 5594, 6905, 7488, 676, 2059, 2178, 3642, 4371, 6221, 6705, 7963, 802, 1317, 2697, 3618, 5171, 5681, 6594, 8108, 1024, 1776, 2923, 3862, 4772, 5594, 6532, 7288, 767, 1217, 2584, 4062, 4330, 5570, 6552, 7451, 271, 1217, 2595, 3227, 4389, 5314, 6484, 8143, 692, 1318, 2894, 3763, 4795, 5539, 7086, 7853, 271, 1529, 2570, 3763, 4671, 5677, 6613, 7886, 692, 1469, 2543, 3704, 4515, 6121, 6484, 7954, 540, 1912, 3015, 3227, 4376, 5781, 7035, 7590, 314, 1686, 2137, 3760, 5148, 5361, 6244, 7318, 386, 1529, 2710, 3227, 4543, 6077, 7157, 7396, 1029, 1529, 2667, 3356, 5179, 5828, 6999, 7851, 150, 2050, 2728, 3623, 5008, 5828, 6281, 7484, 1081, 2048, 2137, 3156, 4470, 5984, 6763, 7252, 961, 1581, 3151, 3395, 5144, 6208, 6614, 8159, 1102, 1770, 2846, 3702, 4225, 5302, 6414, 7912, 617, 1944, 3026, 3391, 5115, 5464, 7003, 7591, 403, 1885, 2818, 3190, 4633, 5425, 6895, 7591, 356, 1768, 2717, 3751, 5042, 6051, 6657, 7643, 356, 1233, 2809, 3819, 4344, 6206, 7111, 7704, 513, 1186, 2514, 3352, 4981, 5419, 7023, 8173, 757, 2021, 2944, 3352, 4437, 6157, 6717, 8069, 708, 1623, 2615, 3993, 4696, 5742, 7218, 7317, 952, 1339, 2436, 4068, 5072, 5597, 6962, 7476, 448, 1831, 2652, 3936, 4651, 5485, 6972, 8060, 807, 1403, 2678, 4166, 4944, 5228, 6443, 8077, 247, 1782, 2396, 4103, 4604, 5599, 6640, 8096, 737, 1550, 2128, 3560, 4921, 6212, 6425, 7475, 545, 1223, 2440, 3316, 5079, 5262, 6265, 7874, 692, 1948, 2923, 3963, 4351, 6109, 6446, 7580, 692, 1315, 2867, 3535, 5016, 5930, 7102, 7435, 1009, 1510, 2565, 3457, 4381, 5624, 6306, 7900, 862, 1415, 2565, 3499, 4226, 5308, 6592, 7828, 864, 1137, 2552, 3500, 4745, 5364, 7023, 7578, 864, 1758, 2794, 3970, 4786, 6217, 7170, 7524, 1011, 1736, 2402, 3987, 4580, 6086, 6952, 7997, 1102, 1463, 3026, 3190, 4555, 6086, 6590, 7410, 1024, 1521, 2878, 3770, 4459, 5924, 6605, 8126, 547, 1545, 2332, 3511, 5025, 5574, 6623, 8103, 1009, 1865, 2905, 3482, 5025, 5318, 6949, 7991, 862, 1269, 2888, 3499, 4545, 5981, 6886, 8086, 556, 1531, 2581, 3567, 5101, 5523, 7004, 8104, 1080, 1205, 2546, 3992, 4351, 6039, 6254, 7997, 575, 1723, 2464, 3384, 5031, 5209, 6831, 7703, 440, 1897, 2931, 3352, 5127, 5548, 7172, 8083, 440, 1897, 2989, 4151, 5095, 5684, 6398, 8027, 804, 1475, 3008, 4151, 4555, 5639, 7149, 8266, 1056, 2125, 2515, 3726, 4555, 6129, 6844, 8185, 308, 1523, 2729, 4067, 4762, 5678, 6924, 7918, 211, 2073, 2582, 4145, 5080, 5761, 6884, 7908, 610, 1858, 2924, 3169, 4592, 5765, 6871, 7843, 1025, 1782, 2436, 3649, 5096, 6187, 6347, 7393, 1033, 1708, 2436, 3361, 5085, 5565, 6816, 7480, 731, 1141, 2945, 3892, 4801, 6131, 7095, 7557, 802, 2102, 2429, 3355, 4991, 5890, 6401, 7664, 1023, 1164, 2625, 3508, 4604, 6009, 6525, 8117, 692, 1561, 2705, 3767, 4335, 5769, 6799, 8028, 397, 1234, 2426, 4087, 4807, 6147, 7087, 7817, 545, 1550, 2764, 3669, 4351, 5368, 6383, 7965, 986, 1550, 2615, 3456, 4921, 5470, 6829, 8266, 986, 1686, 2867, 3272, 4576, 5565, 7114, 7707, 582, 1655, 2940, 3623, 4617, 5770, 6619, 8057, 987, 1912, 2923, 4096, 4776, 5366, 6976, 7853, 545, 1826, 2990, 3316, 4374, 5324, 6466, 7311, 582, 1826, 3073, 4096, 4985, 5555, 6532, 7383, 986, 1770, 2565, 3376, 4935, 6068, 7215, 7899, 1038, 1668, 2554, 3304, 4598, 5863, 7047, 8259, 992, 1356, 2172, 3952, 4687, 6104, 6364, 7889, 862, 1503, 2546, 3770, 5057, 6222, 7040, 7900, 581, 1503, 2629, 3469, 4365, 6179, 7183, 7823, 234, 1503, 2276, 3267, 4899, 5262, 7067, 7536, 796, 1157, 2869, 3521, 4356, 5841, 6807, 7273, 192, 1632, 2248, 4088, 4709, 5902, 6290, 7484, 508, 1609, 3040, 3847, 4496, 5744, 6556, 7753, 247, 1301, 2894, 3816, 4755, 5250, 6659, 7639, 399, 1217, 3040, 3565, 4897, 5691, 7229, 7983, 936, 1352, 2894, 3642, 5108, 5670, 6538, 8137, 104, 1173, 2695, 3709, 4800, 6065, 6360, 7384, 887, 1227, 2463, 4102, 4865, 5526, 7049, 7572, 731, 1363, 2688, 3929, 5085, 5491, 6725, 7678, 1025, 1797, 2503, 4093, 4849, 6205, 6244, 7908, 643, 1682, 2865, 4162, 5127, 6131, 7147, 7591, 887, 1724, 2454, 4089, 4427, 5699, 6566, 7783, 465, 1503, 3010, 4047, 4475, 6183, 6269, 7480, 249, 1183, 3126, 3748, 4755, 5905, 6850, 7622, 737, 1542, 2961, 3356, 4285, 5224, 6904, 8234, 840, 1926, 2495, 3708, 4288, 6002, 6846, 7663, 504, 1183, 2799, 3513, 4245, 5208, 7030, 7605, 1025, 1183, 2736, 3305, 5011, 5344, 7181, 7778, 643, 1682, 3040, 3962, 4780, 5594, 6792, 8213, 887, 1682, 2167, 3785, 4780, 6167, 6405, 7904, 150, 1880, 2352, 3393, 4330, 5697, 6614, 7583, 504, 1740, 3126, 3276, 4369, 5393, 6311, 7386, 725, 1183, 2292, 3233, 4254, 5404, 7181, 8173, 923, 1440, 2868, 3997, 4983, 5344, 6401, 7341, 541, 2102, 2527, 3882, 4364, 5898, 7197, 7808, 1023, 1706, 2292, 3455, 4534, 5224, 7215, 7881, 545, 1807, 2327, 3488, 4298, 6194, 6422, 8146, 397, 2090, 3105, 3464, 5168, 5212, 6632, 8199, 103, 2102, 2944, 3472, 4645, 5552, 6551, 8114, 613, 1164, 3080, 3943, 4441, 5479, 7207, 7716, 779, 1269, 2239, 3929, 4297, 5276, 6270, 7451, 304, 1554, 2970, 3710, 4470, 5767, 7006, 7920, 183, 1945, 2230, 3550, 4993, 5749, 6476, 7291, 568, 1570, 2854, 3951, 4344, 5776, 7120, 8074, 225, 2060, 3021, 3375, 4870, 5963, 6810, 7940, 228, 2127, 3052, 3374, 5138, 5892, 6752, 7957, 518, 1749, 3141, 3855, 5167, 5678, 6747, 7838, 228, 1684, 3133, 4125, 5128, 5436, 6752, 8147, 228, 2127, 2554, 3394, 4583, 6149, 6776, 7831, 240, 2078, 2970, 3623, 4583, 6137, 7006, 8102, 789, 1750, 2880, 3726, 4387, 5556, 6909, 7509, 419, 1961, 2473, 4145, 5168, 5493, 6604, 7732, 789, 1304, 3021, 4174, 5104, 6137, 7024, 7570, 256, 1304, 2669, 3416, 4877, 5678, 7163, 7939, 1057, 1509, 2754, 4134, 5124, 5567, 6848, 7597, 664, 1183, 2153, 3578, 5164, 5450, 6343, 7402, 1019, 1183, 2338, 3326, 4459, 5697, 7245, 7442, 556, 1183, 3019, 3304, 4187, 5379, 6592, 7648, 1024, 1912, 2274, 3934, 5124, 5225, 6828, 7515, 767, 1912, 3151, 3674, 4506, 5654, 6878, 7774, 1011, 2050, 2743, 4155, 4277, 5910, 6924, 7438, 942, 1440, 2743, 4067, 5005, 5727, 6884, 7473, 981, 2050, 2638, 3276, 5012, 5482, 6367, 7850, 386, 1547, 2710, 3777, 5018, 5945, 6849, 7762, 1009, 1199, 2393, 4022, 4246, 5928, 6626, 8199, 900, 1183, 2785, 3198, 4845, 5740, 6419, 7279, 736, 1543, 3070, 3830, 4655, 5579, 6262, 8149, 271, 1538, 2578, 3785, 4612, 5890, 6224, 7815, 1030, 1682, 3040, 3700, 4332, 6023, 6997, 8218, 895, 1843, 2680, 3556, 4882, 5384, 6490, 7735, 895, 1843, 3151, 3404, 4755, 5247, 6477, 7375, 1041, 1897, 3040, 3613, 4506, 5551, 7178, 7779, 508, 2099, 2748, 4158, 4321, 6214, 7191, 7248, 508, 2036, 2576, 3584, 4332, 5357, 6714, 7962, 641, 1199, 3011, 4167, 5018, 5567, 7206, 8232, 508, 1408, 2146, 3314, 4901, 6214, 6500, 7478, 913, 1309, 2338, 4014, 4678, 5642, 7129, 8257, 981, 1609, 2514, 3937, 4200, 5719, 7212, 7287, 981, 1742, 3034, 3937, 4626, 5325, 6940, 7632, 776, 1742, 2937, 3422, 4741, 6101, 6919, 7724, 738, 1742, 2369, 3732, 5151, 5567, 6586, 8146, 981, 1512, 2458, 4055, 4954, 5799, 6883, 7546, 725, 1738, 2737, 3873, 4895, 5632, 6437, 8061, 970, 1638, 2440, 4171, 4635, 5642, 7073, 8251, 288, 1407, 3098, 3873, 4426, 5586, 6830, 7476, 641, 1141, 2407, 3910, 4622, 5767, 6286, 8103, 831, 1827, 2661, 3660, 4804, 5366, 6967, 7397, 1025, 1141, 3061, 3885, 5122, 5522, 7109, 7366, 887, 1175, 2794, 3488, 4723, 5641, 6818, 7530, 827, 1309, 2429, 4093, 4808, 5325, 7240, 7442, 403, 1562, 2436, 4078, 5155, 5834, 7002, 7828, 552, 1750, 2775, 3295, 4617, 5677, 6589, 8188, 186, 2111, 2947, 3680, 4782, 5869, 6620, 8195, 142, 1847, 2164, 3886, 4704, 5901, 6996, 8179, 818, 2017, 3007, 3710, 4624, 6129, 6752, 8185, 555, 1623, 2833, 3827, 4583, 5981, 6677, 7876, 617, 1695, 2729, 4171, 4622, 5677, 7091, 8185, 617, 1468, 2210, 3994, 4700, 5223, 7202, 7563, 617, 1468, 2833, 3550, 4762, 5978, 6688, 7303, 617, 1468, 3021, 3550, 5159, 5548, 6584, 7838, 4, 2 ]

[ 1, 11, 54, 5, 31, 16, 5, 65, 20, 63, 5, 17, 75, 5, 31, 14, 66, 5, 26, 52, 16, 54, 30, 5, 28, 44, 54, 48, 67, 5, 77, 73, 5, 5, 5, 63, 44, 62, 52, 26, 30, 5, 31, 16, 5, 75, 60, 64, 5, 5, 3, 945, 2073, 3144, 4174, 5159, 5901, 7124, 8147, 186, 1833, 2941, 3982, 4716, 5832, 6515, 7591, 778, 1697, 2345, 4053, 4556, 5898, 7014, 7879, 302, 1318, 2667, 3948, 5126, 5789, 7089, 7318, 810, 1338, 2286, 3970, 4199, 6133, 6723, 7892, 179, 1183, 2840, 3500, 4475, 5809, 6703, 7885, 566, 1183, 2951, 3326, 4668, 5724, 6753, 8133, 1070, 1723, 2604, 3764, 4999, 5298, 6258, 7404, 485, 1446, 3011, 3489, 4678, 5909, 6485, 7873, 961, 1480, 2774, 3592, 4596, 5900, 6386, 7559, 831, 1770, 2783, 3300, 4611, 6001, 7114, 7726, 938, 1755, 2860, 4036, 4691, 6032, 6710, 8177, 1011, 2035, 3063, 3376, 4374, 6085, 6703, 7959, 731, 1415, 2700, 3420, 4912, 5589, 6658, 7591, 643, 1581, 2790, 3727, 4191, 5767, 6903, 7753, 938, 1388, 2847, 3961, 4850, 5276, 6338, 7383, 234, 1828, 3091, 4010, 4887, 5354, 6680, 7728, 1036, 1421, 2225, 3356, 4493, 5621, 6640, 7761, 363, 1938, 2940, 4084, 4597, 5734, 6981, 7430, 582, 2055, 2487, 3190, 4450, 5584, 7126, 7861, 304, 1906, 2615, 3751, 4681, 5418, 6279, 7401, 568, 1206, 3112, 4132, 4555, 5614, 7224, 8145, 568, 1249, 2718, 4132, 4307, 5827, 7103, 8132, 568, 1133, 2491, 3555, 4839, 5760, 6895, 7602, 568, 2034, 2181, 3272, 4184, 5580, 6840, 7791, 118, 1876, 2971, 3476, 4863, 5320, 6426, 8073, 568, 1269, 2709, 4021, 4642, 5318, 6607, 7560, 568, 1264, 2454, 3930, 4737, 5527, 6612, 7503, 568, 1289, 3133, 4145, 4863, 5890, 6592, 7955, 397, 1249, 2655, 3331, 4493, 5591, 6348, 7880, 568, 1633, 3139, 3555, 4654, 5610, 7069, 8250, 757, 1954, 2181, 4037, 5167, 5446, 7152, 8084, 617, 1750, 2918, 3933, 4536, 5734, 6605, 8132, 955, 1400, 2608, 3648, 5179, 6175, 6302, 7664, 149, 1672, 2796, 3611, 4494, 5686, 6854, 7386, 781, 2091, 2581, 3771, 4855, 6021, 7126, 8056, 784, 1582, 2460, 3855, 4761, 5615, 6793, 7904, 1009, 1205, 2571, 3468, 4417, 5208, 7137, 7684, 803, 1205, 2713, 3211, 4565, 5268, 6735, 8263, 917, 1205, 2890, 3780, 4205, 5970, 6670, 7803, 123, 1982, 2189, 3960, 5081, 6040, 7053, 8061, 736, 1543, 2189, 3751, 5021, 5924, 6225, 8225, 1029, 2070, 2966, 3429, 4365, 5917, 6614, 8169, 531, 1692, 2571, 4015, 4672, 5909, 6533, 7396, 531, 1669, 2173, 3804, 4298, 6096, 6304, 7669, 1080, 1156, 2325, 3498, 5005, 5745, 6430, 7767, 975, 1757, 2209, 3427, 4848, 6010, 6224, 7853, 668, 1104, 2674, 3446, 4335, 5982, 7045, 7991, 692, 1907, 2311, 4034, 4902, 6133, 6815, 7863, 137, 1858, 2907, 3417, 4585, 6033, 6287, 7704, 668, 1512, 2951, 3360, 4182, 5720, 6873, 7680, 938, 2034, 2511, 4015, 4389, 5207, 7227, 8167, 277, 1736, 2951, 3970, 4341, 5321, 6902, 7436, 547, 2034, 2830, 3360, 5126, 5438, 6995, 8026, 692, 1907, 2905, 3787, 4848, 5443, 6235, 8047, 1080, 1865, 2256, 3547, 4585, 5438, 6267, 7786, 774, 1669, 2940, 3605, 4459, 5404, 6838, 7999, 1041, 1828, 2134, 4163, 4677, 5233, 6760, 7791, 668, 1799, 2225, 3356, 4299, 6013, 6923, 7995, 1024, 1828, 2205, 3637, 4738, 5453, 6612, 8178, 940, 1523, 2282, 3268, 5198, 5827, 7104, 7360, 390, 1763, 2838, 3231, 4861, 5223, 6612, 7557, 390, 2073, 3135, 3376, 4533, 5705, 6646, 7641, 645, 1499, 3092, 3582, 4237, 6222, 6901, 7955, 715, 1850, 2868, 3251, 4929, 5827, 6613, 7303, 691, 1827, 2975, 3251, 4700, 5830, 7019, 8227, 832, 1299, 2654, 3251, 4597, 5972, 7195, 7333, 261, 1531, 3037, 3601, 4921, 6144, 7241, 7627, 179, 1682, 2282, 3599, 4390, 5825, 6678, 8248, 502, 2033, 3091, 3972, 4959, 5559, 7238, 7875, 774, 1615, 3091, 3548, 4891, 6188, 6521, 8189, 803, 1656, 3030, 3356, 4981, 5696, 6580, 7758, 803, 2118, 2827, 3390, 4770, 6107, 6716, 7955, 774, 1472, 2750, 3417, 4674, 5728, 6264, 8035, 774, 2048, 3116, 3981, 5163, 5585, 6657, 7795, 1038, 1993, 2693, 3743, 5070, 5928, 6898, 7284, 1102, 1912, 2282, 3329, 4735, 6078, 6774, 8205, 1052, 1608, 2282, 3421, 4440, 5982, 6345, 7930, 835, 1303, 2751, 3309, 4462, 6052, 6442, 7652, 1050, 2115, 2751, 3286, 4898, 5926, 7193, 8226, 819, 1438, 2751, 3286, 4943, 5722, 6783, 7497, 302, 1843, 2934, 3421, 4892, 5792, 7241, 8211, 910, 1682, 2588, 3356, 4321, 5576, 6529, 7567, 819, 1503, 2593, 3329, 4799, 5589, 7227, 8173, 1070, 1697, 2869, 3482, 4990, 5999, 7118, 7983, 673, 1615, 2869, 3548, 4755, 5261, 6958, 8254, 1070, 1184, 3116, 3425, 4818, 5662, 6952, 7974, 810, 1934, 2593, 3796, 4729, 5739, 6926, 7350, 1050, 1184, 2903, 3936, 4421, 5642, 6637, 7802, 584, 1656, 2165, 4119, 4873, 5991, 6453, 7686, 584, 1550, 2968, 3973, 4873, 5578, 6554, 7542, 774, 1516, 2448, 3839, 4236, 5952, 6846, 7391, 137, 1916, 2867, 3356, 4236, 6044, 6532, 7709, 137, 2086, 2271, 3251, 4597, 6107, 6965, 7984, 1001, 1843, 2346, 4007, 4776, 5925, 6879, 7994, 137, 1915, 3040, 4037, 4274, 6002, 6254, 8226, 137, 1183, 2693, 3537, 5014, 6145, 7053, 7827, 123, 1183, 2732, 3276, 4799, 5408, 6286, 7756, 845, 1988, 2830, 3276, 4731, 5714, 6682, 8031, 691, 1682, 3040, 3948, 4578, 5803, 6915, 8117, 918, 2033, 3040, 4037, 4217, 5574, 6940, 8058, 1101, 1653, 3040, 3624, 4689, 5746, 6932, 7317, 893, 1708, 2997, 3345, 4364, 6154, 7135, 7536, 314, 1996, 2869, 3609, 4338, 5875, 6442, 8125, 1029, 1974, 2725, 3864, 4937, 6145, 6815, 8072, 970, 1630, 3040, 3548, 4510, 5768, 6477, 7622, 1047, 1797, 2868, 3276, 4981, 6172, 7018, 8237, 767, 1504, 2564, 3468, 4966, 5573, 6998, 8126, 335, 2095, 3026, 4083, 5123, 6128, 7241, 7959, 767, 2095, 2254, 3530, 5151, 6167, 6376, 7643, 335, 1992, 2564, 3882, 5153, 5719, 6536, 7447, 767, 1992, 2940, 4041, 5050, 6114, 6547, 7838, 913, 1830, 3064, 3533, 5151, 5913, 6314, 8205, 684, 1566, 2728, 3540, 5020, 6205, 6871, 8078, 308, 1407, 3053, 3710, 5166, 5968, 7239, 8179, 1097, 1791, 3135, 4152, 4925, 5210, 7058, 8195, 308, 1869, 2991, 4071, 5166, 5210, 7157, 8195, 955, 1750, 3064, 3440, 4822, 5832, 6302, 8066, 613, 1918, 2709, 4168, 5096, 6175, 6347, 7575, 807, 1563, 2210, 3363, 5115, 5610, 7160, 7386, 927, 1692, 2717, 3286, 4318, 5863, 6224, 8125, 545, 1554, 2464, 3421, 4785, 5485, 6319, 7724, 545, 1708, 2464, 3618, 5149, 5485, 6579, 7966, 545, 1207, 2464, 3894, 4321, 5333, 6477, 7882, 936, 1205, 3063, 3421, 4795, 5269, 6646, 7919, 104, 1708, 2741, 3351, 4255, 5325, 6340, 8197, 1090, 1350, 2594, 3692, 5098, 5576, 6704, 7962, 1025, 1335, 2729, 3918, 4427, 5616, 6604, 8179, 1025, 1335, 2534, 3376, 4592, 5978, 7207, 7557, 1025, 1350, 3135, 3955, 4873, 6129, 6239, 8107, 610, 1350, 2989, 3955, 4861, 5431, 6612, 8066, 559, 1692, 2203, 4073, 4873, 6002, 7215, 7447, 1040, 1692, 2311, 3551, 4460, 6181, 6570, 7852, 807, 1858, 2536, 3245, 4525, 5237, 6623, 7997, 545, 2079, 2166, 4072, 5088, 5863, 6608, 7877, 826, 1550, 3075, 4025, 4335, 6004, 6611, 7791, 887, 1550, 2594, 3922, 5124, 6007, 6275, 7248, 641, 1550, 2429, 3983, 5168, 5512, 6899, 7821, 424, 1876, 2401, 4162, 4859, 5904, 6740, 8245, 1035, 1550, 3141, 3533, 4720, 5648, 7044, 7927, 405, 2091, 2621, 3870, 4179, 5981, 7218, 7770, 475, 2041, 2991, 4068, 4366, 6129, 6584, 7781, 256, 1750, 2473, 4011, 5135, 5749, 6579, 7811, 256, 1851, 2980, 3277, 4859, 5548, 6671, 7664, 518, 1791, 2833, 3994, 4916, 5493, 6612, 7563, 256, 1597, 2669, 4111, 4275, 5863, 6485, 7715, 256, 1971, 2190, 3930, 4993, 5296, 6892, 8083, 617, 2127, 3064, 3771, 5179, 6137, 6688, 7303, 859, 1623, 3133, 3671, 4615, 5234, 7120, 7641, 105, 1945, 3053, 3518, 4895, 5678, 7103, 7303, 160, 1633, 2803, 4103, 5042, 5431, 7103, 7887, 844, 2053, 2610, 4149, 4989, 6163, 7094, 7857, 807, 1264, 2403, 3812, 4218, 5479, 6803, 7588, 487, 1816, 3021, 3515, 4364, 5935, 6967, 7843, 993, 1388, 2309, 3792, 4350, 5767, 6840, 7643, 993, 1388, 2210, 3812, 4592, 5934, 6566, 8146, 1029, 2000, 2506, 3832, 4364, 5627, 6713, 7546, 386, 2126, 2506, 3219, 4529, 5787, 7229, 7965, 1101, 1326, 2515, 3848, 4350, 5746, 6623, 7917, 981, 1480, 3020, 3679, 5022, 6117, 7158, 7976, 981, 1190, 2301, 3964, 5018, 5591, 6803, 7583, 1024, 1480, 2137, 3605, 4298, 5950, 6968, 8132, 913, 2061, 2794, 3974, 4852, 5613, 7208, 7955, 1059, 1222, 2659, 3362, 5124, 5299, 7021, 7426, 391, 2061, 2189, 3360, 4354, 6034, 6283, 8006, 767, 2061, 2872, 3681, 4997, 6009, 6850, 8066, 216, 1827, 2981, 3276, 5079, 5350, 6408, 8066, 1056, 1981, 2932, 3803, 4287, 5873, 6613, 8195, 779, 1668, 3006, 3226, 5159, 6051, 6996, 8107, 956, 1869, 3008, 4114, 4447, 6081, 7201, 7806, 510, 1869, 2957, 3710, 4470, 5241, 7084, 7485, 510, 1705, 2925, 3226, 4704, 6103, 6979, 7485, 510, 1750, 2957, 4011, 5058, 6139, 6794, 8223, 818, 1791, 2803, 4114, 5058, 6129, 7006, 8147, 818, 1508, 3006, 3982, 5106, 5705, 7201, 8260, 818, 1508, 2164, 3893, 5080, 6139, 6979, 7949, 488, 1528, 2164, 3893, 4782, 6139, 7201, 8066, 818, 2068, 3007, 3710, 5080, 5241, 7124, 7766, 488, 1528, 3117, 3367, 4798, 6129, 7201, 8260, 488, 1528, 2164, 3893, 4782, 6139, 6979, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1528, 2833, 3893, 4624, 6081, 6589, 8080, 488, 1622, 2164, 3893, 4870, 6139, 7077, 7766, 488, 1648, 3065, 3827, 4624, 6186, 6677, 7766, 915, 1684, 2164, 3825, 4512, 5677, 7120, 7485, 915, 1147, 2858, 4145, 4890, 5515, 6515, 8126, 915, 2017, 2833, 3893, 4512, 6186, 7120, 8223, 915, 1147, 2858, 4145, 4624, 6163, 7120, 7732, 915, 2017, 3021, 3893, 4512, 5635, 6996, 8147, 555, 1468, 2833, 3827, 4387, 5981, 7077, 7831, 915, 1684, 2858, 3825, 5079, 5635, 6996, 7831, 488, 1528, 3117, 3367, 4624, 5241, 7124, 8080, 488, 1622, 3065, 3914, 4624, 6139, 7124, 8223, 488, 1528, 2833, 3893, 4624, 6139, 6589, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 5635, 7201, 7766, 804, 1833, 2838, 3987, 5058, 6175, 6988, 7723, 166, 1141, 2847, 3710, 5145, 5968, 6841, 8151, 993, 1724, 2868, 3241, 4735, 5822, 6800, 7686, 806, 1276, 2378, 4095, 4460, 5478, 7000, 8044, 807, 1510, 2918, 3179, 4338, 5745, 6477, 8125, 825, 1164, 2992, 3261, 5040, 5423, 7041, 7843, 1037, 2024, 2210, 4037, 4877, 6113, 7091, 7263, 1097, 1705, 2925, 3914, 5125, 5883, 7077, 7485, 956, 1600, 3098, 4071, 5058, 6182, 6996, 7664, 1097, 1847, 2946, 3886, 5159, 5832, 6786, 8179, 1097, 1648, 2806, 3866, 4622, 6129, 7058, 7766, 256, 2063, 2988, 4144, 4925, 5610, 6749, 7838, 757, 2098, 2669, 3680, 5083, 5210, 6313, 7476, 183, 1858, 2523, 3596, 4337, 5978, 6623, 8270, 356, 1839, 2221, 4138, 4877, 6001, 7207, 7717, 105, 1675, 2869, 3186, 4801, 5705, 7207, 7563, 1071, 2020, 2373, 3193, 5145, 6131, 6597, 7574, 262, 1423, 2296, 3942, 4314, 5960, 7136, 7270, 485, 1350, 2173, 3854, 4357, 6088, 6691, 8229, 569, 2101, 2173, 4007, 4436, 6067, 6243, 7528, 212, 1934, 3074, 3699, 4195, 5917, 6902, 8104, 1070, 1152, 3116, 3587, 4545, 5450, 6587, 7880, 673, 1463, 2774, 3208, 4934, 5822, 6792, 7880, 763, 1604, 2643, 3210, 4415, 5615, 6581, 8013, 966, 2059, 2844, 3458, 4364, 6168, 6596, 7561, 810, 2059, 2594, 3386, 4723, 6145, 6366, 8018, 572, 1631, 2221, 3298, 4406, 6002, 7215, 7740, 585, 1244, 2695, 3424, 4734, 6150, 7041, 7753, 986, 1924, 2669, 3751, 4305, 6179, 6957, 7551, 545, 2083, 2245, 3162, 4321, 5656, 7041, 8026, 390, 1455, 2245, 3356, 5167, 5276, 6864, 7821, 171, 1989, 2754, 3391, 4554, 5705, 7084, 7494, 1056, 1467, 2984, 3188, 4226, 6205, 6658, 7892, 804, 2046, 2866, 4076, 4179, 6156, 6996, 7895, 512, 2041, 2469, 4145, 5044, 6113, 7010, 7557, 756, 1716, 3007, 3838, 4179, 5852, 6852, 7476, 448, 1887, 2221, 4008, 4224, 5210, 6338, 7648, 993, 1265, 2282, 4124, 4683, 5208, 6888, 7438, 781, 1299, 3040, 3356, 4814, 5259, 6486, 7857, 761, 1503, 2870, 3661, 4474, 5344, 6710, 8226, 1033, 1199, 2484, 3819, 4664, 5788, 7051, 8239, 959, 1850, 2137, 3929, 4198, 5340, 6258, 7503, 955, 1777, 2330, 4097, 4589, 6146, 6566, 7397, 833, 1773, 2795, 3904, 4398, 5216, 6607, 7631, 684, 1577, 2746, 4113, 4782, 5216, 6850, 7570, 440, 1320, 3008, 3994, 4589, 5943, 7160, 7563, 518, 1402, 2991, 3930, 4412, 5661, 6254, 7811, 761, 2088, 2869, 3176, 4836, 6171, 6784, 7881, 864, 1407, 3090, 3925, 5181, 6075, 6344, 7862, 864, 1478, 2347, 3162, 5110, 6144, 6890, 7955, 1008, 1633, 3040, 4029, 5111, 5655, 6344, 7253, 277, 1900, 2751, 3847, 5193, 6135, 6704, 7626, 806, 1110, 2383, 3356, 4809, 5509, 6304, 7702, 487, 1727, 2695, 3356, 4544, 5461, 6899, 8046, 371, 2067, 2571, 3208, 4417, 5344, 7101, 7592, 770, 1994, 2655, 4015, 5091, 5910, 6770, 7637, 1038, 1788, 3061, 3624, 4883, 5480, 6932, 7929, 981, 1145, 2719, 3965, 4415, 5925, 7091, 7358, 91, 1876, 2564, 4101, 5009, 5298, 6476, 7934, 272, 1164, 2564, 3834, 5094, 5600, 7091, 7424, 575, 1586, 2789, 3446, 5054, 5600, 6289, 7708, 970, 1570, 2801, 3876, 4386, 5982, 6698, 7757, 103, 1768, 2669, 3208, 4890, 5713, 6579, 7248, 715, 1944, 2830, 3219, 4352, 5474, 6816, 7941, 756, 1924, 2554, 3363, 4555, 5436, 6646, 7248, 225, 1684, 2728, 3407, 4549, 5767, 7207, 7962, 225, 1252, 3000, 3827, 4780, 5771, 6584, 8266, 225, 2032, 2669, 3376, 4863, 5767, 7181, 7838, 225, 2111, 3139, 3555, 4890, 5767, 6515, 7664, 225, 1750, 2918, 3487, 4934, 5218, 6612, 7509, 518, 1749, 2683, 3555, 4326, 5584, 6740, 8058, 518, 1756, 3040, 3555, 5079, 5942, 6291, 8118, 518, 2077, 2775, 3930, 4512, 5581, 7232, 7260, 228, 1789, 2669, 3227, 4622, 5548, 6371, 7774, 256, 2118, 3095, 3934, 4764, 5514, 6909, 8197, 543, 1345, 2156, 3518, 4916, 5677, 6515, 8069, 105, 2111, 2833, 3376, 4555, 5218, 6677, 8080, 555, 2111, 2560, 3803, 4870, 5963, 7069, 7485, 915, 2017, 2806, 3277, 4877, 5514, 7069, 7723, 488, 1622, 3065, 3825, 4624, 5515, 7077, 8126, 488, 1528, 3065, 3825, 4704, 5241, 7077, 8196, 915, 2017, 2554, 3825, 4798, 6139, 7226, 7831, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 915, 2017, 2970, 3893, 4764, 5635, 6996, 7717, 488, 1528, 3065, 3914, 4512, 5892, 6752, 8223, 488, 2111, 2914, 3893, 4512, 5635, 7226, 8223, 488, 2111, 3065, 3893, 4512, 5635, 7120, 8223, 4, 2 ]

[ 1, 53, 26, 5, 42, 69, 30, 5, 43, 57, 64, 66, 5, 5, 3, 663, 1858, 2865, 3430, 4427, 5832, 6574, 7664, 779, 1280, 2463, 4096, 5166, 5797, 7047, 8266, 779, 2063, 2936, 4068, 5104, 5485, 7201, 7548, 211, 1886, 2943, 3975, 4374, 5378, 6809, 8188, 665, 1774, 2695, 3953, 4257, 5885, 6792, 7491, 508, 1663, 2769, 4007, 4514, 5898, 6836, 7473, 296, 1740, 2826, 3576, 4404, 5392, 6839, 7892, 810, 1809, 2896, 3623, 4364, 5337, 6659, 7729, 810, 1978, 2725, 3385, 4293, 5236, 7155, 7930, 665, 1633, 2845, 4137, 4787, 5370, 6507, 7683, 806, 1656, 2578, 4101, 4267, 5863, 6740, 7796, 662, 1636, 2692, 4003, 4563, 5212, 7155, 7651, 487, 1238, 2309, 3615, 4991, 6034, 6913, 7487, 831, 1118, 2309, 3621, 4496, 5706, 7017, 8209, 804, 1386, 3095, 3918, 5135, 5978, 6771, 7716, 571, 1989, 2795, 3795, 4890, 5761, 6709, 7658, 663, 1540, 3135, 4115, 4529, 5981, 6786, 7908, 512, 1945, 2582, 4152, 5038, 5485, 7132, 7949, 776, 1889, 2988, 3945, 5088, 5333, 6518, 7305, 293, 1759, 2208, 3562, 4448, 5854, 6681, 7608, 223, 1786, 2553, 4150, 4954, 6198, 6715, 7865, 650, 1721, 3092, 3920, 4670, 5904, 6611, 7717, 266, 1531, 2373, 3877, 4548, 5646, 6579, 7451, 737, 1838, 2553, 3623, 4755, 5902, 6276, 7957, 936, 1828, 2540, 4072, 4195, 5958, 6409, 8178, 884, 2117, 2868, 3623, 4773, 5602, 6971, 7904, 1035, 1510, 2842, 3423, 4773, 5810, 7041, 7904, 211, 1510, 3007, 3918, 4186, 5643, 6627, 8061, 405, 1683, 3026, 3843, 4184, 5840, 6830, 8076, 756, 1989, 2554, 3932, 4638, 6070, 7232, 7816, 516, 1510, 2728, 3866, 4364, 5493, 7187, 8259, 1102, 1992, 2987, 4153, 4617, 6204, 7230, 7906, 959, 2065, 2996, 3671, 5160, 6117, 7149, 8058, 863, 1496, 3038, 3851, 4918, 5534, 7184, 8061, 980, 2065, 3080, 3645, 5139, 5811, 7132, 8053, 1066, 1596, 2312, 3539, 5040, 6007, 6612, 8192, 569, 2059, 2380, 3740, 4802, 6032, 6674, 7777, 154, 1499, 2309, 3652, 4998, 5784, 6413, 7954, 458, 2055, 2667, 3531, 5124, 5442, 6894, 7656, 1017, 1682, 2311, 4036, 4298, 5408, 7021, 7270, 803, 1691, 2137, 3632, 5195, 5236, 6569, 8189, 266, 1585, 2613, 3249, 4873, 5388, 6706, 7777, 864, 1178, 2923, 3729, 4511, 5769, 6452, 7627, 992, 1480, 2207, 3954, 5008, 6162, 7044, 8157, 537, 1988, 2791, 3325, 5135, 5903, 6985, 7808, 537, 2064, 2485, 3869, 4529, 6077, 6581, 7859, 641, 1199, 2730, 3598, 4218, 6149, 7100, 7593, 1047, 1490, 2975, 3870, 4747, 5743, 7093, 7501, 1003, 1596, 2983, 3760, 5159, 6174, 6612, 7918, 335, 1490, 2503, 3788, 4856, 5550, 6521, 7672, 613, 1596, 2562, 3914, 4191, 5429, 6755, 7877, 225, 1736, 2591, 3391, 5157, 6149, 6272, 7712, 225, 1496, 2791, 3955, 4381, 5600, 6515, 7715, 225, 1202, 2752, 3374, 5011, 6171, 6840, 7421, 518, 1756, 3105, 3917, 4675, 5586, 7043, 7732, 228, 2002, 2941, 4093, 5135, 5436, 7002, 7537, 518, 1749, 2355, 3866, 4611, 6175, 7069, 8130, 240, 2002, 2554, 3994, 4555, 5719, 6688, 8076, 256, 1750, 2858, 3873, 5083, 6149, 7043, 7806, 518, 1750, 3040, 3391, 5088, 5548, 7152, 7716, 225, 2097, 2669, 3966, 4681, 5248, 7090, 7559, 183, 1304, 3006, 3879, 4993, 5515, 7160, 7485, 552, 2127, 3062, 4092, 4859, 5548, 7019, 8262, 555, 1332, 2996, 3550, 5166, 5963, 7087, 7876, 915, 1750, 2941, 3595, 4888, 6103, 6584, 7766, 915, 2017, 3065, 3550, 4859, 6139, 6794, 7716, 915, 2017, 2164, 3825, 4798, 5241, 7077, 7677, 488, 1648, 3065, 4071, 4704, 6186, 7077, 8196, 488, 1528, 3065, 3893, 4624, 6186, 6794, 8223, 915, 2017, 2164, 3893, 4798, 5677, 6794, 7766, 419, 1684, 2880, 3914, 4798, 5677, 6988, 7715, 555, 1304, 2833, 3595, 4512, 6149, 6338, 7831, 555, 2111, 3021, 4145, 4512, 6137, 6996, 8126, 818, 1648, 2833, 3374, 5088, 6186, 7226, 8147, 4, 2 ]

[ 1, 14, 78, 5, 16, 5, 53, 14, 66, 35, 5, 17, 75, 5, 41, 14, 51, 66, 5, 65, 48, 5, 43, 14, 30, 5, 54, 11, 66, 5, 30, 44, 64, 51, 17, 75, 35, 30, 5, 31, 33, 53, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 7077, 8196, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 915, 1528, 2806, 4145, 4798, 5550, 6752, 7766, 403, 1510, 2163, 4039, 4423, 6063, 6776, 7259, 685, 1496, 2655, 4006, 4844, 6182, 6776, 7964, 318, 1785, 2365, 4149, 4462, 5581, 6611, 7609, 897, 1777, 2361, 4082, 4457, 5435, 6849, 7796, 1101, 1630, 2429, 3483, 4901, 5523, 7053, 7429, 576, 1507, 2474, 3796, 5001, 6118, 7197, 7366, 195, 2061, 2736, 3671, 4434, 5918, 6706, 7660, 1014, 1206, 2554, 3956, 4486, 5826, 6333, 8102, 518, 1675, 2282, 4074, 4802, 5778, 6757, 7698, 708, 1707, 2725, 3504, 4326, 5995, 6933, 7796, 1062, 1828, 2765, 3227, 4334, 5581, 7024, 8151, 840, 1721, 2436, 3399, 4982, 5678, 6964, 8070, 1067, 1826, 2870, 3201, 5034, 5641, 6424, 7355, 643, 1797, 2258, 4067, 4225, 5750, 7222, 7844, 223, 1721, 2661, 3949, 4561, 5366, 6566, 7676, 650, 1771, 2936, 3756, 4867, 5300, 6839, 8236, 1025, 1773, 3080, 3776, 5061, 5568, 7019, 8188, 1033, 2068, 2298, 3582, 4470, 5586, 7127, 7557, 731, 1141, 2991, 4055, 4589, 5350, 6331, 7557, 304, 1566, 2690, 3937, 5104, 5465, 6470, 7957, 504, 1407, 2298, 3901, 4954, 5705, 6574, 7965, 1033, 1566, 2429, 3271, 5129, 5378, 6331, 7607, 938, 1315, 3047, 3271, 4691, 5408, 7231, 7660, 862, 1509, 2677, 3511, 4465, 5754, 6472, 7678, 1003, 2065, 2607, 3561, 4612, 5227, 6354, 7860, 262, 1345, 2424, 3495, 5011, 5746, 6793, 8153, 262, 1789, 2587, 3752, 4828, 5672, 6743, 8184, 1088, 1225, 2297, 4168, 4236, 5357, 6265, 7420, 1047, 1490, 2578, 3253, 4780, 5202, 7168, 7961, 779, 1333, 3006, 3891, 4513, 6203, 7168, 8093, 401, 2063, 3038, 3188, 4890, 5699, 6657, 7786, 216, 1736, 2469, 3975, 5088, 6052, 6333, 7959, 1047, 1668, 2587, 3826, 5159, 5493, 6938, 8080, 1091, 1509, 2925, 3543, 5012, 5413, 7201, 7673, 767, 1545, 2340, 3277, 5153, 5210, 6338, 7542, 223, 1332, 2688, 3840, 5078, 5687, 6830, 8145, 731, 1972, 2469, 3932, 4643, 5555, 7152, 8195, 692, 1173, 2878, 3540, 4414, 5202, 7222, 7494, 938, 1723, 2878, 3794, 4700, 6181, 6580, 7471, 692, 1173, 2870, 3602, 4431, 5448, 6484, 8103, 504, 1509, 3001, 3963, 5068, 5259, 6515, 7494, 150, 1284, 2905, 3663, 4457, 5270, 6241, 8176, 643, 1269, 2741, 3422, 4363, 5732, 6262, 8177, 401, 1490, 2389, 3609, 5185, 5558, 6932, 8164, 899, 1992, 3135, 3540, 4554, 5586, 6852, 8098, 878, 1851, 2838, 3376, 4912, 5850, 6717, 8131, 518, 1777, 2991, 3879, 4529, 5661, 6612, 8236, 901, 1345, 2886, 3603, 5075, 5550, 7242, 8069, 256, 1597, 2860, 3420, 4437, 5980, 6709, 7480, 256, 1851, 2729, 3440, 5061, 5661, 7160, 7677, 256, 2068, 2473, 4096, 4630, 6182, 7239, 8076, 901, 1750, 2880, 3364, 4267, 5832, 6972, 7500, 757, 2118, 3144, 3879, 5138, 5220, 6614, 7913, 405, 1787, 2959, 3596, 5120, 5860, 6349, 8195, 948, 1234, 2871, 3602, 4374, 6073, 6528, 7807, 840, 1490, 2724, 3322, 4576, 5374, 6311, 8111, 271, 1490, 2586, 3819, 4302, 5337, 6717, 7906, 1052, 2118, 3047, 3448, 4554, 6005, 7130, 8144, 465, 1154, 3010, 3596, 5041, 5594, 7071, 8024, 759, 1687, 2869, 3936, 4435, 5681, 7217, 7518, 1025, 1248, 2459, 3490, 4365, 5539, 6771, 7816, 401, 1504, 2469, 3566, 5079, 5978, 6291, 7753, 223, 1834, 2254, 3566, 4612, 5475, 6696, 7384, 401, 2024, 2944, 4152, 5079, 5767, 6979, 8093, 914, 1587, 2943, 3917, 4551, 5573, 7010, 8179, 818, 1804, 3008, 3710, 4888, 5241, 6709, 8196, 935, 2000, 3043, 3866, 4551, 5968, 7077, 8267, 935, 1847, 2730, 3866, 4980, 6051, 7111, 7766, 935, 1648, 2925, 3945, 4828, 6129, 6996, 8147, 935, 2091, 2860, 4068, 5106, 5385, 6709, 8195, 757, 1831, 2871, 3468, 4700, 6068, 6734, 8017, 617, 1349, 2970, 3931, 4696, 5908, 6850, 8211, 859, 1471, 2340, 4145, 4877, 5515, 6740, 8147, 797, 1684, 2164, 3825, 4704, 5241, 7120, 7715, 488, 1684, 2164, 3893, 4624, 5678, 7120, 7485, 915, 1684, 2806, 3825, 4890, 5901, 6794, 8196, 488, 2017, 3117, 3367, 4624, 6186, 7077, 7766, 818, 1648, 2833, 3893, 4624, 6186, 6794, 8196, 555, 1684, 2164, 4068, 4888, 5241, 7207, 7485, 859, 1332, 2554, 4068, 5142, 5219, 6752, 7715, 617, 1695, 3133, 4026, 5088, 5241, 7120, 7723, 183, 1286, 3144, 4006, 4398, 5534, 7024, 7717, 183, 1112, 2656, 3588, 4583, 5942, 6612, 7831, 568, 1633, 3133, 3827, 4578, 5963, 7182, 7563, 568, 1623, 3052, 4145, 4638, 5640, 7129, 8126, 568, 2013, 2944, 3798, 4780, 6097, 7207, 7555, 757, 2127, 2432, 3930, 4870, 5397, 7181, 7806, 356, 1623, 3064, 3550, 5183, 5548, 6296, 8132, 335, 1561, 3043, 3918, 4423, 5894, 7120, 7865, 685, 1411, 3020, 3425, 4274, 5212, 7127, 7298, 807, 2045, 2923, 3695, 4717, 5943, 6430, 7873, 986, 2047, 2282, 3476, 4515, 5515, 7114, 7458, 223, 1550, 2710, 4151, 4364, 5413, 6736, 7532, 643, 1948, 2282, 3957, 4389, 5216, 7069, 8236, 1081, 1269, 2239, 3873, 4859, 5431, 6286, 8126, 390, 1753, 2946, 3413, 5159, 5610, 7069, 7846, 390, 1345, 3095, 3771, 5083, 5832, 7048, 7426, 356, 1675, 2980, 4153, 4762, 6149, 7069, 7515, 1062, 1695, 2956, 3370, 4556, 5740, 6348, 7631, 1033, 2106, 2965, 3886, 5130, 5573, 6789, 7585, 942, 1695, 2984, 3497, 4857, 5294, 7047, 8036, 160, 1349, 2762, 3330, 4853, 5515, 6653, 7743, 1064, 1476, 3007, 3551, 5164, 5288, 6566, 7816, 262, 1490, 2899, 4047, 4865, 5924, 6240, 7333, 1064, 2099, 2907, 3752, 4690, 5220, 6938, 7634, 981, 1349, 2653, 3533, 5051, 5813, 6787, 7498, 643, 1349, 3085, 4083, 5130, 5332, 6625, 7458, 1097, 1850, 2783, 3508, 4387, 5216, 7154, 7891, 308, 2079, 2838, 4174, 5166, 5968, 6972, 7806, 955, 2079, 2880, 3909, 5106, 5702, 6979, 8066, 955, 1937, 2996, 4124, 4966, 5219, 7084, 7570, 1025, 1773, 2803, 3540, 4635, 5614, 6668, 8016, 1033, 2079, 3066, 3917, 4334, 5930, 7065, 7965, 1033, 1428, 2261, 3440, 4215, 6131, 7220, 7846, 1033, 1428, 2503, 3822, 4748, 5573, 6584, 8267, 887, 1227, 2636, 4143, 4429, 5304, 7019, 7976, 150, 1227, 2536, 4143, 5145, 5438, 6834, 7831, 504, 1499, 2741, 3949, 4748, 6181, 6242, 7311, 1025, 1797, 2444, 3374, 4439, 5565, 7090, 7822, 223, 1721, 2741, 4022, 5129, 5761, 7095, 7584, 970, 1773, 2926, 3430, 5134, 5500, 6403, 8077, 1067, 1807, 2564, 3882, 4229, 5210, 7160, 8016, 1036, 1183, 2152, 3264, 5177, 6136, 6582, 7555, 360, 1912, 2154, 3526, 4678, 6087, 6344, 7605, 692, 1183, 2543, 3198, 4670, 5454, 6488, 7255, 840, 1183, 2294, 3679, 4516, 5433, 6370, 7414, 558, 2009, 3040, 3785, 4234, 5337, 6674, 7739, 508, 1489, 2316, 3504, 4248, 5553, 6348, 8149, 776, 2091, 3149, 4036, 4281, 5746, 6740, 8264, 508, 1140, 2802, 4025, 4823, 5590, 6415, 8239, 984, 2042, 2860, 3175, 5061, 5398, 6612, 7363, 1099, 1939, 2586, 4113, 4323, 6070, 6953, 7458, 512, 1248, 3007, 4108, 4423, 5840, 7207, 8209, 186, 1620, 2947, 4171, 5080, 5687, 7077, 7720, 186, 2041, 2781, 3710, 5060, 5901, 6979, 8237, 186, 2068, 2991, 4171, 4888, 5834, 6709, 7887, 935, 1833, 3008, 3440, 4888, 6186, 6752, 8237, 757, 1198, 2839, 4078, 4902, 5908, 6391, 7452, 555, 1349, 2542, 4174, 4622, 5677, 7100, 8147, 142, 1623, 2970, 4071, 4890, 5963, 7124, 8147, 860, 1528, 2164, 3277, 4704, 5219, 7120, 7723, 860, 2017, 3065, 3825, 4798, 6139, 7077, 8237, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8196, 488, 2017, 2914, 3893, 4624, 5635, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 488, 1648, 2914, 3893, 4798, 6139, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 915, 2111, 2970, 3825, 4798, 5767, 6589, 8080, 488, 1648, 2806, 3893, 4624, 6139, 6752, 8223, 142, 1528, 2914, 3825, 4798, 6139, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 488, 2017, 3065, 3825, 4798, 5635, 6794, 7766, 967, 1191, 2903, 4068, 5104, 6123, 7239, 7723, 392, 2118, 2886, 4130, 4644, 5492, 6978, 8260, 685, 1570, 2175, 3616, 5031, 6031, 7059, 7962, 271, 1951, 2910, 3446, 5031, 5228, 6241, 8045, 988, 1652, 3089, 3261, 4470, 6199, 7043, 7652, 115, 1946, 3019, 3605, 4421, 5629, 6614, 8130, 654, 1210, 2918, 4125, 4364, 5611, 6520, 7797, 195, 1550, 2341, 4124, 4764, 5640, 7023, 7756, 127, 1853, 2792, 3188, 4555, 5493, 7232, 8261, 518, 2111, 2669, 3440, 4859, 5589, 7201, 8045, 518, 1756, 2669, 3555, 5159, 5719, 6579, 8126, 518, 1756, 2542, 3891, 4611, 5608, 7237, 8188, 568, 2097, 2646, 4175, 4351, 6117, 6708, 7715, 473, 1443, 2271, 3662, 4955, 5719, 6830, 7745, 860, 1851, 3135, 3803, 4704, 5296, 6604, 8083, 915, 1622, 2806, 3595, 4555, 6129, 7132, 8076, 419, 2017, 2833, 4071, 5060, 6175, 7218, 7806, 707, 1349, 2709, 3352, 4925, 5403, 6815, 8064, 1062, 1637, 2941, 3662, 4219, 5366, 6346, 7743, 1033, 1524, 2436, 4026, 4700, 6131, 7055, 8117, 459, 1826, 2559, 4026, 4513, 5220, 6546, 8034, 492, 1703, 3002, 3721, 4699, 6177, 7018, 7797, 988, 1261, 2295, 3717, 4734, 5224, 6364, 7414, 492, 1934, 2678, 3290, 4640, 5738, 6519, 7832, 113, 1865, 2715, 3604, 4385, 5323, 6723, 7902, 891, 1463, 2247, 3560, 4532, 5747, 6650, 7745, 663, 1796, 2136, 3679, 4691, 6063, 7154, 7309, 833, 1369, 3007, 3873, 5153, 5987, 6849, 7870, 1037, 1833, 3007, 4018, 4215, 6070, 7120, 7876, 1049, 1597, 2515, 4055, 5084, 5918, 7230, 7341, 952, 1886, 2868, 3413, 4973, 5346, 6349, 7508, 938, 1724, 2564, 3413, 4329, 5799, 6456, 8007, 569, 1527, 2564, 3741, 5116, 5926, 7125, 8270, 1080, 1586, 2480, 3873, 4800, 6141, 6410, 7926, 487, 1789, 2470, 3368, 4565, 6074, 7150, 7510, 779, 1912, 3040, 3533, 4918, 5810, 6737, 7857, 1056, 1989, 3098, 3932, 5164, 5981, 7132, 7355, 308, 1821, 2396, 3886, 4374, 5832, 7111, 8267, 804, 2068, 2957, 3671, 5058, 5832, 6979, 8179, 308, 1791, 2803, 3945, 4822, 6063, 6786, 8066, 804, 1705, 3043, 3982, 5038, 6205, 7077, 7949, 308, 2041, 2957, 4085, 4551, 5612, 6988, 7485, 1052, 2111, 2254, 3994, 4191, 5696, 6237, 8060, 702, 1826, 2401, 3421, 4205, 5693, 6695, 8039, 900, 1422, 2953, 3943, 4285, 5950, 6640, 7279, 900, 1472, 2848, 4146, 4688, 6119, 7094, 7936, 1017, 1349, 2793, 3922, 4876, 5936, 6304, 7978, 692, 1766, 2151, 3688, 4269, 5526, 6480, 8229, 1101, 1168, 2487, 3544, 4969, 5342, 6563, 7868, 692, 1283, 2835, 3548, 4415, 6059, 7146, 8140, 815, 1992, 2987, 3965, 5049, 6184, 6565, 7270, 981, 1865, 2519, 3472, 4970, 5739, 6849, 8006, 709, 1209, 2661, 3277, 5080, 6187, 7090, 8236, 304, 1777, 2946, 3442, 4334, 5525, 7157, 7949, 831, 1363, 2946, 3696, 4589, 5260, 6734, 7740, 678, 1878, 2429, 3911, 4197, 5555, 7111, 7396, 424, 1562, 2944, 3929, 4334, 5761, 7019, 7676, 1081, 1141, 3080, 3253, 4437, 5904, 6705, 7706, 641, 1141, 2996, 3496, 5058, 5901, 6668, 8077, 424, 1931, 2944, 3361, 4686, 5425, 7058, 7962, 663, 1146, 3092, 3692, 4954, 6103, 6716, 7336, 887, 1238, 2678, 3910, 4883, 5871, 7114, 7367, 663, 1350, 3092, 3418, 4385, 5651, 6671, 7723, 171, 1747, 3092, 3909, 4888, 5811, 6515, 8260, 484, 1963, 3150, 3891, 4513, 5811, 7098, 7421, 186, 2032, 2838, 4170, 5061, 5385, 6709, 7876, 142, 1622, 2914, 3866, 4704, 6103, 7201, 8076, 488, 1622, 3117, 3367, 5038, 6139, 7084, 7766, 818, 2046, 2164, 3226, 4624, 6081, 7006, 7806, 818, 1648, 3110, 3893, 4624, 6139, 7077, 8237, 555, 2111, 3064, 3827, 5060, 5534, 6979, 8223, 555, 2111, 2914, 4006, 4512, 5635, 7168, 8237, 555, 1684, 2970, 4083, 5159, 6182, 6752, 8080, 555, 2111, 3147, 4068, 5083, 5246, 6584, 7476, 555, 1345, 2833, 4068, 5190, 5892, 6612, 7732, 555, 2111, 2970, 3391, 5159, 5635, 7098, 7782, 555, 2111, 3147, 4068, 5083, 5635, 7152, 8147, 555, 2111, 2554, 3374, 5159, 5246, 6996, 7865, 555, 2111, 2970, 3893, 4681, 5987, 6996, 8093, 555, 1468, 2959, 3914, 4622, 5241, 7098, 8093, 555, 2111, 2858, 3827, 5079, 6163, 7120, 7485, 915, 1528, 2833, 3914, 4512, 5892, 7124, 8236, 4, 2 ]

[ 1, 16, 54, 30, 5, 66, 14, 51, 64, 16, 78, 5, 20, 52, 5, 43, 35, 5, 62, 23, 35, 78, 5, 41, 20, 63, 5, 45, 66, 64, 5, 16, 66, 39, 54, 53, 16, 54, 66, 5, 5, 3, 945, 1528, 2806, 3825, 4704, 6211, 7226, 8147, 201, 1528, 2806, 3825, 4704, 6139, 7124, 7766, 488, 2017, 3117, 3893, 4798, 6186, 7124, 8196, 789, 1684, 2970, 3945, 5088, 5241, 6604, 8267, 613, 1675, 2669, 3413, 4935, 6097, 6458, 7437, 683, 2034, 2623, 3214, 4818, 5237, 6337, 8058, 491, 1168, 2286, 3963, 5074, 5552, 7137, 8230, 862, 1653, 3003, 3366, 4701, 5810, 6456, 7748, 1037, 1120, 2754, 3877, 4818, 6002, 6835, 7920, 104, 1120, 2401, 3393, 4363, 6041, 7135, 8011, 752, 2024, 2444, 3488, 4359, 6145, 6852, 8188, 1037, 1175, 2144, 3955, 4701, 6085, 6889, 7715, 571, 1647, 3043, 4027, 5159, 5573, 6991, 8213, 804, 1963, 2991, 3188, 5129, 5767, 6972, 7838, 1099, 1847, 3110, 3226, 4822, 5340, 6852, 8066, 956, 1175, 3095, 3990, 4888, 5761, 6709, 7631, 1097, 1175, 2803, 3990, 4782, 6081, 7239, 7876, 956, 1175, 2991, 4114, 4551, 6081, 6972, 8147, 935, 2024, 3095, 4071, 4583, 6129, 6979, 8076, 963, 2024, 2490, 3276, 4638, 5810, 6784, 7660, 225, 1839, 2976, 3225, 5053, 6179, 6566, 7767, 617, 1185, 2858, 4018, 5138, 5573, 6699, 8128, 1066, 1140, 2396, 3905, 4877, 5222, 6486, 7929, 908, 1940, 2453, 3683, 4882, 5610, 6869, 7305, 739, 1689, 2845, 3421, 5123, 5365, 6513, 7983, 793, 1901, 2453, 3421, 4390, 5247, 6513, 8125, 739, 1901, 2487, 3421, 4712, 6125, 6797, 7435, 739, 2110, 2751, 3268, 5062, 5828, 6926, 7531, 886, 1734, 2751, 3568, 4330, 5809, 6513, 7531, 1052, 1201, 2751, 3558, 4920, 5419, 6918, 7401, 390, 1270, 3131, 4089, 4665, 6051, 6967, 7349, 337, 1820, 2238, 3827, 4764, 5935, 6979, 7962, 984, 1675, 2874, 3277, 4554, 5227, 7100, 8076, 337, 1675, 2833, 3516, 4622, 5678, 7217, 8063, 552, 2032, 3021, 3540, 4980, 5767, 6786, 7948, 878, 2097, 2839, 3201, 4307, 5219, 6740, 7557, 874, 1905, 2988, 3792, 4320, 5653, 6526, 7955, 699, 1289, 2278, 4153, 5138, 5581, 6840, 7683, 518, 2060, 3133, 3827, 4267, 5901, 6437, 7727, 654, 1750, 2669, 4174, 4700, 6110, 7114, 7948, 654, 2106, 2473, 3352, 4870, 5493, 6605, 8262, 518, 1974, 3143, 3586, 4214, 5890, 7120, 7677, 256, 1869, 2839, 3932, 4890, 6062, 6584, 7303, 335, 1174, 2808, 3869, 5160, 5216, 6677, 8098, 761, 1624, 2210, 3931, 4688, 5734, 6383, 7311, 1043, 1332, 2271, 3393, 5018, 6135, 6414, 8146, 1043, 1935, 2327, 3398, 4215, 5768, 7043, 8178, 881, 1782, 2180, 3623, 4371, 5603, 6456, 8067, 825, 2053, 2380, 3443, 4539, 5613, 7043, 7480, 927, 1350, 2128, 3292, 4887, 5930, 6708, 7531, 516, 1340, 2625, 4137, 4802, 5590, 7157, 7693, 1014, 1821, 2900, 3370, 4804, 5719, 6802, 7275, 1014, 2021, 2139, 3662, 4955, 5689, 6476, 8034, 1014, 2125, 2991, 3770, 4949, 5378, 7243, 7303, 1014, 1116, 2992, 3580, 4650, 6063, 7082, 8005, 708, 1280, 2818, 3470, 4716, 5677, 6856, 7860, 1066, 2091, 2369, 3562, 4611, 5815, 6234, 7276, 806, 1770, 2716, 3692, 5091, 5730, 6838, 7756, 974, 1582, 3085, 3953, 5109, 5868, 6439, 7904, 803, 1582, 3074, 3220, 4805, 6042, 6473, 7375, 761, 1469, 3146, 3605, 4550, 5366, 6954, 7592, 277, 1674, 2782, 4138, 4841, 6174, 6883, 7883, 277, 1940, 3090, 3340, 5032, 6174, 6735, 7527, 277, 2048, 2680, 3940, 4645, 6174, 6969, 8189, 1016, 2048, 2588, 3907, 4310, 5976, 6614, 7262, 1029, 1969, 2981, 3845, 4364, 5477, 6470, 8099, 371, 1823, 3078, 4128, 4672, 5598, 7037, 7442, 736, 1440, 2459, 3497, 4672, 5469, 6936, 7924, 736, 1543, 2307, 3727, 4924, 5940, 6546, 8022, 864, 1180, 2175, 3386, 4406, 5708, 6286, 7679, 864, 1348, 2705, 3474, 4310, 5597, 6568, 7737, 1080, 1469, 2819, 3953, 4636, 6009, 6590, 7414, 547, 1440, 2749, 3953, 4274, 5244, 6847, 7466, 1008, 1440, 2299, 3478, 4462, 6068, 7008, 7712, 864, 1440, 2192, 3880, 5036, 5783, 6335, 7873, 231, 1231, 2721, 4073, 4327, 5684, 6384, 7702, 235, 1688, 2347, 3276, 4512, 5447, 6229, 7887, 942, 2028, 2173, 3998, 4897, 5673, 6614, 7597, 373, 1404, 2389, 3609, 4743, 5902, 6659, 7284, 373, 1503, 2996, 4010, 5123, 5646, 6746, 7674, 759, 1503, 2629, 4053, 5098, 5964, 7021, 8161, 730, 1407, 2869, 3814, 4841, 5701, 7140, 7437, 893, 1482, 2869, 3700, 5129, 5395, 6663, 7933, 493, 1503, 2481, 4058, 4436, 5298, 7001, 7855, 803, 1503, 2247, 3836, 4795, 5268, 7240, 7987, 512, 2057, 3060, 3314, 4387, 6111, 7217, 7264, 804, 1873, 2391, 3569, 4872, 5216, 7168, 7264, 984, 1271, 2746, 3982, 4792, 5705, 6786, 8267, 984, 1454, 2391, 3540, 4583, 6123, 6688, 8054, 1097, 1992, 3007, 4011, 4704, 6131, 6953, 8260, 935, 2017, 2838, 3866, 5060, 5705, 6774, 7720, 337, 1847, 2746, 3540, 5080, 5705, 6709, 7806, 186, 1528, 3143, 3866, 5129, 6014, 6953, 7876, 415, 1895, 2878, 3842, 4869, 5474, 6291, 7614, 206, 1386, 2551, 3914, 4374, 6103, 6972, 7782, 1015, 2088, 2998, 3596, 5076, 6119, 6804, 7264, 1102, 1407, 2455, 3819, 4611, 5694, 6612, 7485, 223, 1490, 2598, 3883, 4537, 5886, 6927, 7748, 1101, 1407, 3137, 3431, 4730, 5937, 6505, 7841, 725, 1503, 2439, 3663, 4520, 5438, 7140, 7355, 1101, 1503, 2670, 4051, 4428, 5200, 6392, 7777, 1070, 1840, 2372, 3847, 5135, 5477, 7053, 7785, 673, 2050, 2956, 3268, 4547, 5280, 6936, 7833, 428, 1503, 2174, 3267, 4665, 5348, 6998, 7264, 428, 1407, 2137, 3278, 4963, 5498, 6391, 8033, 1063, 1697, 2286, 3549, 4770, 5807, 6283, 8001, 277, 1438, 2446, 3162, 5023, 5769, 6592, 7814, 277, 1438, 2446, 3924, 4963, 6180, 6735, 8265, 277, 1503, 2782, 3176, 5031, 5905, 6592, 7669, 1001, 2050, 2453, 3231, 5010, 5847, 7144, 8238, 1008, 1978, 2892, 3568, 4546, 5737, 6730, 7787, 1016, 1362, 2613, 3960, 5184, 5354, 6224, 7364, 665, 1608, 2892, 3427, 4678, 5231, 6624, 7519, 569, 2056, 2541, 3498, 4936, 5655, 6601, 7779, 1008, 1827, 3092, 3300, 4268, 5200, 7206, 8048, 1038, 1512, 2440, 3702, 4426, 5538, 7183, 7953, 876, 1512, 2975, 3702, 4212, 5417, 6603, 8104, 803, 1512, 2544, 3372, 4991, 6093, 6746, 8142, 277, 1141, 2511, 3884, 4338, 5530, 6361, 8177, 876, 1512, 2357, 3782, 4748, 5579, 6632, 7824, 547, 2034, 2677, 4155, 4869, 5723, 6889, 7474, 1001, 1350, 2905, 3525, 4804, 5954, 6708, 7764, 876, 1299, 2969, 3224, 4777, 5315, 6849, 7483, 344, 1758, 2536, 3611, 4218, 5332, 6760, 7985, 807, 1459, 2378, 4030, 5107, 5500, 7198, 7442, 487, 1323, 2741, 3327, 4364, 5944, 6469, 8016, 620, 1421, 2741, 3692, 4675, 5654, 6732, 7984, 996, 1635, 2594, 3641, 4214, 5910, 6870, 8034, 545, 1350, 2559, 3605, 4236, 5814, 6224, 7383, 881, 1572, 2244, 3749, 4198, 5223, 6566, 7786, 115, 2002, 2697, 4007, 4709, 5490, 6422, 7726, 576, 1238, 2953, 3418, 4893, 5341, 6480, 7954, 195, 2079, 2554, 3819, 5150, 5605, 6443, 7369, 225, 1851, 2473, 4085, 5079, 5863, 6296, 7563, 225, 1201, 2341, 3413, 4859, 5988, 7043, 7563, 518, 1623, 3133, 4067, 4859, 6085, 6612, 7750, 183, 1175, 2473, 4125, 5038, 5514, 7232, 7303, 105, 1750, 2554, 3487, 4912, 5514, 6338, 7918, 818, 2111, 2914, 3825, 4859, 5677, 6584, 7948, 818, 1856, 2996, 3550, 4859, 6085, 6668, 7720, 915, 1622, 2164, 3825, 4782, 5515, 6338, 8179, 419, 2017, 2164, 3893, 4798, 5493, 7239, 7476, 555, 1622, 3095, 3893, 4512, 5635, 6979, 7876, 859, 2111, 2858, 4166, 4912, 6182, 7120, 8179, 859, 2111, 2970, 4006, 4681, 5219, 7077, 8223, 617, 2106, 2959, 4166, 4681, 5963, 6677, 7410, 617, 1750, 3143, 3891, 4681, 5811, 6810, 7707, 555, 1974, 2833, 3595, 4583, 6149, 6688, 7723, 552, 1490, 3143, 3783, 4681, 5778, 6996, 7594, 186, 2065, 3021, 3994, 4583, 5515, 7221, 7831, 488, 2065, 2806, 4171, 5159, 5963, 7226, 8080, 860, 1528, 2806, 3825, 4624, 6139, 7077, 8223, 488, 1191, 3117, 4170, 4551, 5635, 7077, 7766, 1097, 1191, 3064, 4018, 4551, 5241, 6996, 7766, 213, 1648, 3065, 4068, 4583, 5241, 7124, 8223, 518, 1847, 2340, 4006, 4782, 6129, 6810, 8078, 518, 1386, 2454, 3934, 4993, 5514, 6755, 8266, 1015, 1508, 3021, 3645, 5106, 6048, 6709, 7717, 223, 2088, 2383, 3676, 4334, 6171, 7162, 7658, 781, 1447, 2198, 3885, 5070, 5365, 6478, 8229, 1008, 2033, 2300, 3567, 4636, 5313, 7156, 8052, 547, 2126, 3074, 3351, 4818, 5606, 7184, 7491, 569, 1251, 2189, 3356, 4295, 6015, 6295, 8072, 806, 1838, 2749, 3237, 4982, 5251, 6848, 7895, 646, 1838, 2233, 3781, 5023, 5768, 6414, 7864, 864, 1858, 2840, 3642, 4581, 6154, 6456, 7693, 641, 1512, 2903, 3846, 4255, 5910, 7035, 7962, 643, 2052, 2254, 3767, 4294, 5979, 7221, 7951, 831, 1278, 3076, 3537, 4589, 5445, 6584, 7827, 537, 1994, 2878, 4035, 4782, 5475, 7246, 8080, 1035, 1736, 2167, 3761, 4665, 6128, 6899, 8245, 981, 1373, 3026, 3421, 4669, 5980, 7184, 7741, 807, 1459, 2455, 3327, 4236, 5696, 6514, 7799, 986, 2091, 2196, 3533, 5146, 5350, 7154, 7701, 641, 1834, 2491, 3393, 4636, 6002, 7082, 7321, 981, 1944, 2487, 3352, 5115, 5474, 6571, 7481, 761, 1695, 2890, 3623, 4509, 5810, 6658, 7393, 804, 1533, 2771, 3566, 5138, 5641, 6589, 7887, 789, 2024, 2998, 3962, 4983, 5216, 7168, 7706, 935, 2068, 2941, 3982, 4366, 5210, 6786, 8179, 256, 1750, 2970, 3391, 4918, 6137, 7218, 7962, 901, 1898, 2957, 3931, 4945, 5474, 6709, 8164, 127, 1756, 2542, 4113, 4877, 6182, 6443, 7476, 195, 1756, 2741, 3710, 4681, 5792, 6365, 8080, 225, 2032, 2654, 4025, 4681, 5873, 6701, 8213, 899, 2078, 3139, 3566, 4513, 5514, 7218, 7279, 160, 1333, 2151, 3924, 4816, 6057, 7045, 7855, 908, 1777, 2271, 4102, 4307, 5464, 7205, 7962, 988, 1794, 2693, 3351, 5146, 5706, 6292, 8266, 927, 1350, 2897, 4015, 4329, 5859, 6710, 7475, 440, 1943, 3043, 3726, 4982, 5548, 7215, 7865, 818, 1700, 2754, 3257, 4470, 5836, 7010, 8195, 914, 1945, 2803, 4150, 5139, 6195, 6604, 7563, 956, 1623, 3008, 3776, 4888, 6195, 7149, 7716, 818, 2000, 2838, 4108, 4287, 6129, 7239, 8260, 935, 2017, 2803, 4068, 5106, 5241, 7239, 8260, 1097, 2017, 3135, 3982, 4888, 6195, 6794, 8196, 195, 1304, 2356, 3746, 4859, 5534, 6670, 8001, 276, 1898, 3052, 3608, 4712, 5549, 6713, 7341, 183, 1523, 2324, 3726, 5194, 5234, 7219, 7303, 1033, 1820, 3098, 3313, 4340, 5956, 7069, 8205, 977, 1564, 2872, 3174, 4495, 5814, 7229, 7578, 807, 1388, 2801, 3619, 4751, 5297, 7116, 7693, 487, 2084, 2453, 4072, 4635, 5576, 6270, 8111, 325, 1633, 2187, 3350, 4421, 5472, 6654, 7873, 545, 1776, 2309, 3802, 4321, 5435, 6913, 7790, 806, 1935, 2601, 4027, 5088, 5419, 7238, 8129, 487, 1399, 2655, 3536, 4818, 5918, 7182, 8188, 335, 1992, 2369, 3307, 4321, 5228, 6409, 7959, 831, 1777, 2498, 3679, 4935, 5893, 6430, 8076, 831, 1540, 2552, 3909, 5106, 5493, 7168, 7508, 424, 1943, 2803, 3679, 4536, 6123, 6688, 8107, 216, 1991, 2989, 3361, 4762, 5514, 6694, 7336, 390, 1998, 2391, 3908, 4586, 5514, 7222, 7570, 211, 2099, 2901, 3771, 5129, 5781, 6809, 7398, 663, 1747, 2766, 3201, 5153, 6162, 6588, 7706, 731, 1302, 3064, 4150, 4529, 5981, 7143, 8117, 1047, 1141, 3109, 3671, 4437, 5740, 6901, 7641, 731, 1141, 2915, 3380, 5165, 6089, 7086, 7879, 663, 1141, 3085, 3155, 5153, 5481, 6307, 7720, 923, 1496, 2255, 3271, 4801, 5610, 6286, 8230, 575, 1496, 2623, 3424, 4513, 5981, 6627, 8254, 645, 1533, 2970, 4025, 4343, 5526, 6680, 8047, 571, 1918, 2414, 3361, 5157, 5810, 6775, 8266, 571, 1963, 3007, 3917, 5153, 5630, 6889, 7846, 571, 1998, 3144, 3492, 5098, 5527, 7168, 7706, 767, 1777, 2903, 3380, 4896, 5752, 6634, 7720, 663, 1455, 2166, 4011, 4289, 6222, 6605, 7876, 571, 1577, 2803, 3975, 4981, 5776, 6850, 7949, 571, 1989, 2991, 4011, 5038, 5901, 7201, 8260, 1037, 1777, 2957, 3581, 5165, 6051, 6776, 8080, 510, 1647, 3006, 4068, 5038, 6103, 6988, 7908, 488, 1963, 3110, 4108, 4265, 6129, 6786, 8260, 818, 1218, 3117, 4011, 4798, 5832, 6794, 7766, 1020, 1684, 2925, 3746, 4764, 5615, 6688, 7487, 183, 1612, 2356, 4039, 5120, 5320, 6632, 7594, 555, 2078, 2970, 4068, 5080, 5767, 6892, 7563, 860, 1684, 3117, 3914, 4704, 6081, 7239, 8260, 488, 1381, 2806, 3367, 4624, 5705, 7077, 7766, 488, 2017, 2806, 3893, 4704, 6139, 7239, 8223, 201, 1528, 2806, 3367, 4704, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 45, 41, 5, 54, 11, 66, 5, 5, 5, 77, 17, 55, 5, 53, 14, 54, 5, 5, 5, 45, 66, 5, 76, 45, 52, 5, 51, 11, 64, 66, 5, 77, 73, 5, 30, 45, 63, 3, 945, 1528, 2806, 4071, 4704, 5219, 7077, 8147, 201, 2017, 2914, 4071, 4704, 6139, 7077, 7766, 488, 1622, 3065, 4174, 4624, 6081, 7201, 8147, 789, 1876, 3133, 4145, 4555, 6063, 7129, 8260, 856, 1732, 2355, 4003, 4541, 5202, 6803, 8173, 499, 1834, 2309, 3848, 4913, 5650, 6622, 8073, 1042, 1289, 2692, 3181, 5031, 5818, 7037, 7618, 708, 1113, 2661, 3770, 4868, 6185, 6449, 8215, 641, 1112, 2771, 3770, 4259, 5979, 7044, 7904, 1081, 1570, 3147, 3807, 5138, 6162, 6715, 7279, 715, 1797, 2709, 3987, 4441, 5837, 6876, 7838, 317, 2125, 2468, 4154, 4954, 5580, 6856, 7427, 440, 1403, 2468, 3253, 4335, 5637, 7041, 7608, 518, 1945, 2980, 3732, 4983, 6051, 7207, 7275, 211, 1644, 3008, 3917, 5120, 5705, 6850, 7664, 1037, 1721, 2703, 3873, 5061, 6007, 6349, 8188, 390, 1620, 2729, 3671, 5106, 5534, 7207, 7421, 401, 2000, 2793, 3540, 4385, 5548, 6752, 7677, 1033, 1797, 2492, 4168, 5169, 5901, 7007, 8099, 643, 1820, 3149, 4000, 4861, 5479, 7129, 7776, 363, 1283, 2495, 3584, 4282, 5205, 6964, 7270, 679, 1826, 2842, 3850, 4709, 6002, 6497, 7624, 502, 1407, 2953, 3993, 4316, 5780, 6680, 8123, 1023, 1183, 2344, 4072, 4686, 5945, 6599, 7266, 665, 1503, 3123, 3966, 5181, 5867, 6635, 7442, 581, 2050, 2213, 3223, 4932, 5304, 7052, 7983, 310, 1503, 3085, 3809, 5192, 6038, 6783, 7472, 234, 1162, 2185, 3651, 4367, 5732, 6389, 7656, 1101, 1110, 2948, 4004, 5010, 6006, 6770, 8079, 231, 1563, 2865, 3795, 4423, 5707, 7013, 8172, 288, 1893, 3130, 3502, 4852, 5535, 6872, 8081, 171, 2068, 2860, 4152, 4512, 5658, 7100, 7732, 484, 1675, 2869, 3240, 4374, 5580, 7237, 8179, 484, 1845, 2869, 3879, 4630, 5650, 7098, 7597, 984, 2073, 2803, 4164, 4867, 5661, 6515, 7557, 513, 2032, 2991, 3424, 4554, 5650, 6818, 7303, 571, 1304, 2520, 3352, 4558, 5436, 7237, 8126, 831, 1513, 2142, 3410, 4954, 5580, 6365, 7604, 613, 2066, 2311, 4095, 4831, 5533, 6768, 7852, 234, 1550, 2311, 3233, 4850, 6046, 7149, 7616, 1036, 1782, 3091, 3966, 4742, 5980, 6814, 8003, 632, 1205, 2242, 3973, 4496, 6013, 6308, 8197, 363, 1490, 2762, 3844, 4546, 5837, 7039, 7524, 502, 1503, 2553, 3395, 4449, 6101, 7133, 7859, 310, 1426, 2869, 3152, 5005, 5841, 6401, 8176, 1080, 2050, 2896, 3343, 4316, 6092, 6426, 7531, 864, 1563, 2250, 3924, 5065, 5947, 6765, 8115, 864, 1682, 3040, 3687, 5031, 6142, 6761, 8098, 938, 2047, 2426, 3238, 4982, 6142, 6583, 7675, 103, 1759, 3118, 3231, 4675, 6065, 6680, 7348, 1035, 1758, 2923, 3634, 4607, 5200, 6858, 8233, 643, 1164, 2440, 3418, 4318, 5485, 6298, 7607, 504, 1561, 2440, 3418, 4828, 5224, 6684, 7677, 643, 1831, 3026, 3910, 4954, 6162, 6822, 7677, 504, 1782, 2552, 3937, 4752, 6166, 6737, 8267, 643, 1685, 2629, 3369, 4801, 5441, 6850, 7597, 504, 1655, 2690, 4096, 4533, 5873, 6678, 7973, 643, 1624, 2440, 3950, 4816, 5678, 7098, 8069, 504, 1141, 2439, 3430, 4270, 5672, 6622, 7593, 386, 1141, 2629, 4036, 4561, 5485, 7162, 7900, 989, 1826, 2869, 3883, 4365, 5322, 7093, 8022, 135, 2118, 2267, 3394, 4755, 5653, 6921, 8159, 796, 1707, 2271, 3770, 4929, 5836, 7229, 8063, 966, 2001, 2464, 3353, 4356, 5424, 6714, 8158, 363, 1805, 2464, 3643, 4819, 5800, 6943, 8011, 1023, 1696, 2464, 3757, 4578, 5649, 6554, 7547, 896, 1702, 2692, 3535, 5112, 5415, 6241, 8268, 796, 2024, 2131, 3720, 4701, 6194, 6598, 7401, 737, 1737, 2487, 3514, 5135, 5298, 6284, 7637, 581, 2072, 2692, 3535, 4446, 5629, 6812, 7371, 310, 1504, 2529, 3720, 4915, 5603, 6224, 7955, 363, 1387, 2309, 4061, 4456, 5957, 6301, 8222, 862, 1270, 2346, 3558, 4220, 5523, 6550, 7725, 989, 1286, 2464, 3503, 4222, 6215, 6277, 7891, 862, 1575, 2725, 3591, 4924, 5874, 6674, 7674, 702, 1730, 2249, 3353, 4239, 5298, 7200, 8177, 918, 1378, 2869, 4043, 4800, 5980, 6627, 8241, 1024, 1797, 2869, 3292, 5169, 5739, 7043, 7861, 401, 1234, 3095, 3955, 5135, 5795, 6589, 7918, 504, 1561, 2221, 3962, 4691, 6203, 6815, 7536, 692, 1773, 2366, 4168, 4839, 6008, 6393, 7880, 1036, 1695, 2464, 3752, 4332, 6067, 6840, 7311, 766, 1782, 2715, 3960, 4711, 6145, 6663, 8100, 668, 1692, 2355, 4087, 5022, 5773, 7149, 8149, 668, 1782, 2422, 4037, 4305, 5863, 6224, 7497, 807, 1566, 2872, 3639, 4298, 6125, 6696, 7718, 150, 1958, 2901, 3227, 4601, 5341, 6985, 8132, 804, 1268, 3095, 3256, 4935, 6146, 6809, 7846, 804, 1623, 2991, 3645, 5166, 6026, 7239, 7677, 153, 1945, 2975, 4085, 4387, 5968, 6376, 7473, 308, 1992, 2366, 3789, 4387, 5294, 6528, 8132, 955, 1280, 2679, 4114, 5053, 5586, 6852, 7648, 955, 1924, 3021, 4071, 5060, 5901, 7132, 7717, 401, 2000, 3150, 3931, 4822, 5288, 6809, 7717, 150, 2088, 2313, 3906, 4612, 5378, 6605, 7791, 802, 1387, 2961, 3474, 4848, 5629, 6755, 7508, 234, 1469, 2499, 3456, 4690, 6219, 7125, 7304, 1101, 1469, 3009, 3406, 4270, 5863, 6287, 8271, 900, 2050, 2638, 3418, 5005, 5262, 6466, 7810, 784, 1503, 3018, 3910, 5152, 6214, 6611, 7685, 845, 1469, 3001, 3227, 4655, 5344, 6623, 8023, 504, 2061, 3018, 3524, 5198, 5796, 6791, 7673, 643, 1499, 2339, 3538, 4994, 5995, 7174, 7683, 390, 1998, 2822, 3777, 4222, 5863, 6613, 7852, 804, 2053, 2754, 3376, 5127, 5705, 6668, 7469, 512, 2041, 2554, 3240, 4630, 5534, 7095, 7895, 186, 2068, 2554, 3990, 5129, 5534, 6515, 8179, 337, 1467, 3109, 4174, 5106, 5883, 7218, 7720, 746, 1964, 2254, 3838, 4854, 5623, 6640, 7447, 707, 1396, 2886, 3853, 4863, 5475, 6985, 7379, 579, 1396, 2946, 3310, 4287, 5963, 6517, 7597, 405, 1333, 2783, 4103, 5073, 5904, 6589, 8021, 223, 1843, 2791, 4093, 4691, 6130, 6551, 7971, 339, 1234, 2617, 3302, 4774, 5812, 6304, 7288, 546, 1776, 2698, 3218, 4272, 6135, 6298, 7655, 531, 1669, 2346, 4050, 5032, 5613, 6907, 7815, 333, 2047, 2923, 3638, 4248, 5313, 6674, 7549, 546, 1831, 2517, 3427, 4678, 5930, 6234, 7262, 531, 1585, 2769, 4087, 5124, 5695, 6506, 7850, 465, 1983, 2964, 3214, 4920, 6187, 6922, 8177, 1052, 1303, 2794, 3869, 4718, 6107, 6690, 8192, 1102, 1682, 2460, 3751, 4643, 5564, 6863, 7341, 373, 1468, 2766, 3695, 4651, 6123, 6589, 7707, 899, 1436, 2881, 3826, 4352, 5714, 7047, 8262, 225, 1845, 2598, 3555, 4778, 5795, 7232, 7442, 225, 2032, 2992, 4111, 4303, 5677, 6338, 7748, 183, 1898, 2992, 4093, 4318, 5767, 7219, 8056, 317, 1976, 2992, 3225, 4691, 6149, 6622, 7648, 183, 1851, 2370, 3851, 4501, 6120, 6371, 8061, 256, 1623, 2992, 3803, 4344, 5534, 6816, 8261, 105, 2032, 2941, 3361, 4863, 5661, 7207, 8080, 337, 1898, 3144, 3555, 4512, 5901, 6889, 7706, 935, 1304, 2391, 3352, 4555, 5385, 7232, 8130, 105, 2127, 2941, 4026, 4993, 5963, 6688, 8150, 183, 2114, 2839, 3555, 4374, 5610, 6671, 8236, 183, 1286, 2941, 4006, 4387, 6000, 6909, 7721, 617, 1623, 2839, 3555, 5115, 5844, 6668, 7548, 767, 1685, 2895, 3832, 4598, 6137, 6995, 7948, 223, 1806, 2222, 3975, 4606, 5280, 6688, 8262, 613, 1164, 2631, 4147, 5151, 5633, 6905, 7563, 545, 2058, 2891, 3817, 4545, 6191, 6959, 8189, 938, 1755, 2817, 3550, 4859, 5681, 7148, 8266, 1011, 1252, 2924, 3500, 4983, 6101, 6569, 7957, 1024, 2059, 2934, 3601, 5159, 5210, 6821, 7973, 1033, 2059, 2829, 3983, 4402, 6128, 6235, 8249, 318, 1141, 2497, 3300, 4186, 6184, 7207, 7492, 731, 2059, 2402, 3298, 4793, 5694, 6313, 7602, 304, 1736, 2923, 3687, 5075, 5538, 6921, 7537, 955, 1935, 3098, 3945, 4935, 5694, 7163, 7570, 401, 1777, 2946, 3886, 4586, 5515, 6786, 7716, 390, 1280, 2947, 3891, 4191, 6129, 6613, 7664, 288, 1623, 3101, 3990, 5088, 5485, 7162, 8261, 390, 1858, 3135, 4011, 5159, 6103, 6646, 7732, 804, 1620, 2946, 3540, 4589, 6085, 6584, 7723, 613, 1320, 3147, 4166, 4877, 6118, 7198, 8227, 772, 1550, 2795, 4094, 4996, 5890, 6860, 7598, 986, 1231, 2315, 3782, 4694, 5930, 7012, 8262, 848, 1834, 2585, 3327, 4556, 5682, 7148, 8206, 986, 2034, 3073, 3350, 4364, 5656, 6286, 8035, 397, 1621, 2934, 3307, 4426, 5656, 6526, 7665, 487, 2012, 3033, 4103, 4777, 6168, 7158, 7873, 545, 1689, 2990, 4159, 4269, 5650, 6933, 7880, 582, 1905, 2346, 4162, 4921, 5546, 6623, 7366, 487, 1827, 2655, 3770, 5153, 5899, 6892, 7860, 545, 1858, 2221, 3159, 4854, 5756, 7126, 7549, 722, 1164, 3091, 3752, 4948, 5664, 6791, 8038, 545, 1886, 2529, 3268, 4402, 5490, 6280, 7785, 487, 1407, 2341, 4035, 5135, 5441, 6298, 7559, 784, 1388, 2426, 4003, 4604, 5440, 7114, 8024, 314, 1692, 2655, 4076, 4804, 5863, 6848, 7618, 884, 1561, 2529, 4027, 4804, 6115, 6284, 8040, 845, 1442, 2529, 3421, 4773, 6160, 6524, 8045, 725, 1834, 2529, 3396, 4959, 6059, 6800, 8259, 465, 1842, 2548, 3394, 4440, 6221, 6251, 8070, 1101, 1758, 3116, 3369, 5128, 5871, 6265, 7633, 884, 1913, 2221, 3687, 4902, 5557, 6474, 7816, 123, 1635, 2918, 3368, 5128, 6145, 7183, 7755, 693, 1956, 2221, 3708, 4526, 5918, 6446, 7927, 407, 1763, 2593, 3655, 4351, 5585, 6403, 7821, 693, 1688, 3091, 3935, 5026, 6118, 6542, 8047, 493, 1233, 3091, 3476, 4176, 5280, 6885, 8100, 835, 2067, 2309, 4096, 4208, 5989, 6474, 8002, 774, 1510, 2410, 3623, 4741, 5350, 7148, 8140, 768, 1154, 2697, 3937, 4576, 6034, 7227, 7976, 835, 1832, 2355, 4095, 4460, 5594, 6813, 7974, 1070, 1608, 2134, 3770, 4468, 6060, 7051, 7555, 810, 2056, 2221, 3353, 5189, 6082, 6403, 8224, 1070, 2100, 2481, 3227, 4883, 5269, 7158, 7982, 774, 1151, 2725, 3997, 4813, 5818, 7141, 7350, 537, 1309, 2725, 3518, 4379, 5308, 6766, 8100, 1102, 1756, 2834, 3227, 4176, 5567, 6908, 7902, 571, 1421, 2690, 3440, 4564, 5678, 6612, 8188, 833, 1526, 2847, 3595, 5135, 6163, 6377, 7563, 984, 1984, 3006, 3955, 4387, 5216, 6884, 7807, 935, 2111, 2586, 3945, 4780, 6205, 6771, 8267, 935, 2111, 2984, 3226, 5038, 6103, 7207, 8080, 186, 2111, 2914, 3803, 5058, 6081, 6630, 7876, 935, 2017, 2164, 3891, 4861, 5635, 7077, 8076, 4, 2 ]

[ 1, 41, 48, 52, 44, 55, 5, 31, 14, 66, 5, 31, 39, 5, 76, 35, 5, 66, 73, 5, 64, 66, 39, 5, 43, 48, 63, 5, 16, 5, 52, 20, 55, 5, 66, 26, 53, 5, 53, 33, 54, 47, 5, 17, 75, 5, 31, 16, 5, 64, 57, 52, 50, 35, 78, 5, 28, 45, 52, 66, 5, 63, 73, 30, 5, 52, 20, 42, 5, 51, 14, 28, 16, 54, 78, 5, 5, 3, 518, 1853, 3064, 4121, 4679, 5624, 6401, 8036, 942, 1732, 2222, 3951, 4353, 5765, 7044, 7862, 392, 1561, 2434, 3707, 4665, 6101, 6536, 8265, 582, 1954, 2817, 4129, 5051, 5257, 7114, 8257, 986, 1420, 2601, 3464, 4682, 6218, 7229, 8128, 986, 1545, 2311, 3500, 4621, 5719, 7041, 8121, 545, 2056, 2242, 4162, 5124, 5248, 6466, 7583, 582, 1761, 3017, 4096, 4381, 5640, 6883, 8188, 1059, 1118, 2983, 3623, 4641, 5663, 7061, 7933, 1038, 1521, 2697, 3363, 4675, 5749, 7098, 7961, 864, 2058, 2282, 3709, 4825, 5749, 7010, 7270, 1008, 1400, 2497, 3831, 4983, 5248, 7246, 7423, 344, 1740, 3063, 3976, 5169, 5787, 6592, 7794, 262, 2066, 2497, 3442, 4990, 5715, 7108, 7852, 1067, 1299, 2506, 3162, 4506, 5771, 6855, 7954, 864, 1281, 2289, 4137, 4402, 5610, 6846, 7765, 547, 1400, 2725, 3647, 4691, 5775, 6962, 7276, 620, 2085, 2725, 3917, 4985, 5331, 6871, 8100, 1088, 1695, 2587, 3410, 4868, 5437, 6910, 7828, 722, 1541, 2717, 3496, 4590, 6070, 6235, 7683, 767, 1118, 2361, 3770, 4780, 5863, 6916, 7549, 831, 1669, 2529, 4037, 4954, 5654, 7114, 7915, 335, 1770, 2940, 3355, 4435, 6131, 7160, 7563, 391, 1415, 3118, 3187, 5096, 5493, 6850, 7706, 216, 1558, 2502, 4096, 5171, 5492, 7222, 7658, 731, 1664, 2865, 4145, 5088, 6067, 7019, 8260, 767, 1363, 2782, 4145, 4556, 5982, 6850, 7915, 970, 1807, 2945, 3709, 5171, 6116, 6458, 7846, 547, 1407, 2750, 4010, 4500, 5425, 7127, 7680, 668, 1280, 2353, 3564, 4321, 6076, 7118, 8069, 386, 1938, 3001, 4112, 5007, 6119, 7044, 7802, 1029, 1424, 3040, 3322, 4991, 5765, 6956, 8103, 955, 1596, 2580, 3967, 4931, 5550, 6969, 7355, 789, 1756, 2803, 4018, 4343, 5981, 6639, 7732, 488, 1175, 3133, 3803, 4704, 5296, 6774, 7723, 488, 1175, 2746, 4174, 5061, 6205, 7084, 8196, 818, 1475, 2989, 4166, 4888, 6211, 7132, 7723, 555, 1528, 3008, 4114, 4888, 5901, 6604, 8083, 543, 1804, 2991, 4026, 4888, 5296, 6715, 8164, 756, 2111, 2960, 3951, 4861, 5296, 6810, 7870, 660, 1449, 2587, 3707, 4800, 5436, 6570, 8205, 1004, 1457, 2543, 3720, 4814, 5323, 6536, 7442, 363, 1550, 2915, 3237, 4715, 5956, 6848, 7905, 884, 1164, 2309, 3962, 5079, 6126, 6224, 7835, 314, 1561, 2309, 3551, 4539, 5568, 6510, 8036, 1029, 1655, 3126, 3812, 4235, 5561, 6507, 7878, 887, 1509, 2565, 3161, 4532, 6167, 6768, 8151, 610, 1499, 2207, 3975, 4901, 5824, 6505, 7735, 1025, 1499, 2320, 4106, 4792, 5359, 7149, 8226, 643, 1982, 2659, 3654, 4702, 5376, 6920, 7445, 887, 1849, 2470, 3907, 4873, 5954, 6961, 7753, 504, 2048, 2137, 3401, 4470, 6141, 6350, 7607, 1029, 1205, 3107, 3426, 4981, 5602, 6408, 7916, 465, 1402, 2309, 3937, 4804, 5213, 6892, 8193, 840, 1141, 2564, 3497, 4530, 5288, 6852, 7577, 884, 1510, 3037, 4154, 4321, 5940, 6478, 8225, 715, 1915, 2378, 3623, 4616, 5508, 7052, 7838, 105, 1675, 2346, 3933, 4836, 5219, 6306, 7816, 183, 1467, 2188, 3838, 5041, 5534, 7091, 7462, 225, 1324, 2943, 3723, 4764, 5825, 6348, 7732, 317, 1524, 2149, 3936, 4297, 5573, 6376, 8114, 317, 1489, 2188, 3703, 4258, 5579, 6606, 8034, 317, 1621, 2554, 3776, 4399, 6194, 6761, 7409, 228, 1821, 2250, 3631, 4340, 5352, 6550, 8066, 228, 2002, 2473, 3550, 4619, 5624, 7069, 7869, 195, 1826, 2833, 3967, 4320, 6149, 7120, 8130, 518, 2127, 3040, 3838, 5142, 5536, 6677, 7555, 518, 2127, 2792, 3891, 5168, 5830, 6612, 7303, 654, 1586, 3143, 4005, 4859, 6110, 6671, 7563, 240, 1756, 2469, 3832, 4681, 5556, 7006, 7509, 789, 1756, 2880, 4113, 4681, 5901, 6809, 7831, 419, 1851, 2806, 4174, 4704, 6110, 6996, 7664, 915, 1961, 2806, 3825, 4704, 5241, 6794, 8196, 789, 1961, 2880, 3914, 4638, 5514, 6338, 8223, 195, 1313, 3064, 4125, 4267, 6163, 6972, 7477, 731, 1906, 2970, 3882, 4529, 6156, 6895, 8099, 728, 1695, 3003, 3601, 4805, 6177, 6309, 7811, 896, 1564, 2581, 3708, 4734, 5880, 6334, 8149, 737, 2102, 3116, 3502, 4678, 5837, 6528, 7827, 1101, 1782, 2531, 4022, 4364, 5982, 6306, 7693, 545, 1566, 3085, 3476, 4273, 5976, 6894, 8197, 582, 1778, 2830, 3182, 4670, 6002, 7181, 7510, 545, 1777, 2311, 3254, 4224, 5200, 7041, 8050, 103, 2033, 2506, 3245, 4224, 5364, 6393, 7810, 1081, 1674, 3075, 3307, 4364, 5656, 6755, 7842, 610, 1782, 2156, 3472, 4604, 5678, 6343, 7743, 684, 1269, 3101, 3305, 5145, 5810, 6982, 7419, 390, 2127, 3080, 4026, 4622, 5978, 6918, 7664, 356, 1266, 2847, 4120, 4622, 5350, 6480, 8209, 715, 2021, 2970, 3592, 4364, 5652, 6914, 7936, 980, 1388, 2867, 3486, 5143, 5978, 6668, 7838, 952, 1671, 2254, 4068, 4622, 5474, 6579, 8209, 650, 1782, 2946, 3424, 4644, 5577, 7165, 7614, 487, 1403, 2794, 3695, 4855, 5796, 6910, 7442, 487, 1296, 2901, 3695, 4215, 5609, 6309, 7442, 784, 1388, 2717, 4146, 4578, 5574, 7014, 8095, 465, 1778, 2210, 4026, 4288, 5616, 6829, 8129, 884, 1507, 2384, 3623, 4981, 5930, 7232, 7627, 725, 1557, 2669, 3962, 5179, 5643, 7165, 7488, 465, 1555, 2740, 3894, 4683, 5601, 6474, 7684, 150, 1239, 2905, 3238, 4382, 6062, 6448, 7968, 1057, 1294, 2511, 3423, 4592, 6135, 7052, 7732, 1016, 1212, 2256, 4070, 4459, 5776, 6803, 7571, 1008, 1603, 2701, 3304, 4999, 5696, 6614, 7422, 1008, 1403, 2905, 4099, 4567, 5650, 7059, 7627, 876, 1212, 2740, 3358, 4741, 5557, 6267, 7791, 876, 1674, 2813, 3869, 4364, 5228, 7158, 7867, 1008, 2043, 2203, 3635, 5091, 6135, 6287, 7608, 1008, 1129, 2352, 3787, 5144, 5934, 6557, 7397, 1024, 1129, 3151, 3462, 4310, 5976, 6663, 8257, 150, 1440, 2567, 3408, 4404, 5898, 6615, 7809, 887, 2050, 3040, 3205, 5067, 5654, 7133, 8270, 271, 1183, 2865, 3727, 4196, 6210, 6735, 7482, 1025, 1988, 2748, 3408, 4808, 5413, 6224, 7254, 1057, 1469, 2883, 3964, 4651, 6002, 6351, 8253, 876, 1117, 2173, 3741, 4861, 5378, 7005, 7828, 1019, 1180, 2173, 3836, 4338, 5512, 6304, 8123, 208, 1166, 2520, 3321, 4238, 5287, 6932, 8210, 494, 1469, 3005, 3223, 4819, 5209, 6801, 7696, 113, 1469, 2280, 4167, 4909, 5461, 7173, 7696, 655, 1469, 2579, 3289, 4604, 5506, 7173, 8131, 655, 1469, 2532, 3263, 4722, 5771, 6476, 7571, 1041, 1469, 2435, 3835, 4694, 5905, 6476, 7274, 993, 1469, 2171, 3214, 5177, 6118, 7126, 7913, 993, 1955, 2345, 3567, 4364, 5501, 7126, 8046, 845, 1681, 2805, 3524, 4404, 5966, 6448, 7722, 104, 1906, 2141, 4044, 4545, 5602, 6612, 7744, 887, 1840, 2801, 3599, 4429, 5863, 6706, 7379, 150, 1865, 2727, 4096, 4693, 5980, 6812, 8028, 504, 1685, 2534, 4096, 4663, 6000, 6224, 7393, 643, 1831, 2429, 3810, 4981, 5761, 6775, 7976, 887, 1858, 2638, 4082, 5106, 5869, 6709, 7717, 1081, 2048, 2946, 3410, 4374, 5641, 6811, 7408, 288, 2048, 3064, 4145, 4374, 5661, 6830, 8185, 186, 1963, 2989, 3990, 4782, 6182, 6996, 8267, 186, 1998, 2996, 3909, 4867, 5832, 7010, 7723, 878, 1756, 2839, 3563, 4541, 5983, 6432, 8195, 824, 2002, 2725, 3201, 5089, 5918, 7218, 7954, 568, 2061, 2332, 3231, 4344, 6097, 7090, 7660, 967, 1998, 2856, 4018, 5079, 5385, 6419, 7927, 223, 2111, 2598, 4145, 4226, 6034, 7183, 8135, 1066, 1650, 2843, 3596, 4683, 5840, 6398, 7895, 249, 1490, 2539, 3424, 4544, 6034, 6911, 8180, 535, 1503, 2678, 3816, 4364, 6100, 6482, 8211, 492, 1170, 2869, 3354, 5001, 6052, 6814, 7982, 673, 1402, 2869, 3611, 4686, 6218, 7193, 7896, 302, 1402, 2869, 3222, 4580, 5859, 6983, 7954, 302, 1808, 2358, 3981, 4908, 6089, 6484, 7909, 988, 1681, 2580, 3394, 4468, 5454, 6919, 8173, 247, 1934, 2316, 3835, 5070, 6135, 7004, 7795, 247, 1270, 2716, 4072, 4264, 6207, 7215, 8015, 465, 1656, 2953, 3849, 4456, 5443, 6610, 7365, 988, 1240, 2316, 3232, 4723, 5505, 6592, 7987, 930, 1387, 2566, 3605, 4929, 5759, 6873, 7758, 404, 1325, 2751, 3764, 5110, 6119, 6648, 7636, 880, 1108, 2232, 3559, 5188, 5381, 6813, 7533, 487, 1324, 2346, 3757, 5069, 5771, 7222, 7536, 862, 1397, 2316, 3843, 4332, 5913, 6944, 7758, 1024, 1494, 2316, 3395, 4338, 5706, 6547, 7707, 778, 1770, 2440, 3540, 5040, 5938, 6492, 8253, 104, 1758, 2155, 3352, 4439, 5765, 7017, 7286, 993, 1858, 2868, 3970, 4364, 5776, 6776, 8092, 826, 1141, 3101, 4082, 4530, 6163, 6275, 8039, 895, 1141, 2661, 3340, 4665, 5204, 7049, 7717, 850, 1141, 3098, 3351, 4345, 5610, 7143, 7584, 610, 1796, 2163, 3488, 4547, 5512, 6901, 7535, 171, 1369, 2791, 3912, 4670, 5784, 7218, 8185, 484, 1963, 2959, 3391, 5096, 5963, 7006, 8103, 186, 1218, 3128, 3803, 5104, 5340, 6630, 8147, 488, 2000, 2991, 3990, 4912, 5241, 7132, 7876, 818, 2017, 3008, 3188, 4888, 5241, 6786, 8260, 555, 1791, 2833, 3188, 5104, 6205, 7201, 8080, 617, 1695, 2729, 4083, 4681, 5534, 7201, 7723, 617, 1695, 2340, 3674, 5104, 5892, 6251, 8164, 617, 1496, 2791, 3827, 4611, 5246, 6412, 7473, 617, 1695, 2918, 3680, 4852, 5296, 6251, 7494, 105, 2106, 2791, 4068, 4918, 5660, 6752, 7732, 859, 1468, 2833, 3595, 4681, 5296, 7160, 7715, 617, 1750, 2426, 3592, 4983, 5821, 7006, 7715, 105, 2106, 2554, 3687, 5135, 5534, 6809, 7732, 617, 2111, 2490, 4153, 5083, 5987, 6898, 7707, 105, 1736, 2839, 4047, 4762, 5296, 6515, 7831, 105, 2106, 2833, 3425, 5127, 5811, 7152, 7831, 105, 1684, 2340, 3770, 4615, 6175, 6688, 8261, 105, 1586, 2860, 3827, 5079, 5677, 7207, 8266, 859, 2127, 2833, 3391, 5166, 5446, 6889, 7865, 859, 1468, 2833, 4153, 5083, 5811, 6988, 7563, 105, 2111, 3021, 3425, 4890, 5811, 6584, 7476, 859, 2127, 2858, 3277, 4681, 5219, 6338, 7732, 555, 1147, 2806, 3391, 4387, 5241, 6338, 7664, 186, 1528, 2858, 3827, 5157, 5241, 6752, 8083, 488, 1528, 3117, 3391, 5060, 5241, 7124, 7732, 488, 1622, 2806, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2806, 3825, 4704, 6139, 6794, 8223, 142, 1528, 2806, 3893, 4704, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 5635, 7124, 7766, 488, 1528, 3065, 3893, 4798, 6186, 6794, 8196, 684, 1508, 2771, 4108, 5183, 5892, 6988, 7485, 1033, 1646, 2629, 3756, 4501, 5409, 6540, 7386, 893, 1299, 2661, 4096, 4586, 5512, 7033, 8073, 104, 1388, 2436, 3593, 5100, 6060, 6958, 7481, 487, 1146, 2436, 3472, 4562, 5633, 6536, 7535, 778, 1782, 2552, 4155, 4774, 5500, 6350, 7878, 887, 1510, 3020, 3926, 4801, 6167, 6505, 7919, 895, 1782, 2429, 3582, 4774, 5838, 6830, 7917, 104, 1510, 3020, 3610, 4323, 6063, 6443, 7800, 363, 2059, 2927, 3424, 4185, 6119, 6904, 7856, 462, 1539, 2361, 3965, 4722, 6135, 6950, 7524, 896, 1695, 2755, 3961, 5188, 6062, 6716, 7873, 1070, 1695, 3126, 3686, 5188, 5616, 6686, 7963, 221, 1402, 2665, 3751, 4709, 5903, 7229, 8148, 1101, 1695, 3031, 3239, 4321, 5745, 6929, 7248, 725, 1695, 2766, 3486, 4539, 5966, 6914, 7707, 216, 1149, 2638, 3271, 4212, 6200, 6467, 7828, 386, 1110, 2292, 4154, 4993, 5500, 7035, 7941, 759, 1164, 2313, 3761, 4504, 5700, 7002, 7608, 559, 1120, 3085, 3425, 4807, 5712, 7023, 7516, 545, 1356, 2346, 3425, 5128, 5700, 6816, 7862, 234, 1289, 2346, 3355, 5135, 5539, 6478, 7252, 271, 1550, 2346, 3159, 4561, 6194, 6347, 7707, 487, 1284, 2346, 3159, 4439, 5719, 6566, 7442, 314, 1550, 2309, 3570, 4321, 5641, 6764, 7878, 528, 1550, 3116, 4155, 4321, 5745, 6860, 7693, 730, 1397, 2267, 3623, 5040, 5555, 6611, 7578, 888, 1349, 2346, 3338, 5069, 5594, 7004, 7634, 1066, 1346, 3029, 3649, 4635, 6101, 6675, 7868, 951, 1157, 2456, 3826, 4379, 5719, 6614, 8032, 132, 1978, 2793, 4027, 4630, 6007, 7085, 7494, 571, 1812, 2330, 3811, 5088, 5519, 7168, 8184, 833, 1498, 2989, 3932, 5183, 5475, 6734, 7887, 923, 2073, 2473, 3869, 4427, 5212, 6774, 8077, 271, 1655, 2369, 3581, 4267, 5810, 7137, 7892, 881, 1463, 2401, 3960, 4292, 5331, 6622, 7740, 1040, 1770, 2751, 3865, 4944, 5681, 6883, 7717, 459, 1893, 2175, 4007, 4334, 5656, 6884, 7801, 756, 1821, 3033, 3478, 4844, 5656, 6593, 7781, 228, 2060, 2426, 3956, 4870, 5815, 7049, 7612, 654, 1452, 2775, 3376, 4240, 5677, 7100, 8206, 127, 1488, 3135, 3550, 4870, 5385, 7103, 7720, 228, 1851, 2473, 3518, 4344, 5677, 7103, 7485, 654, 1876, 3000, 4125, 4549, 6149, 7082, 7677, 654, 1750, 2554, 3838, 4983, 6205, 7082, 7715, 568, 2061, 2654, 3391, 5157, 5963, 6365, 7806, 256, 2073, 2565, 3470, 5020, 6085, 7120, 7732, 617, 2061, 2771, 3786, 5135, 5483, 7111, 7962, 948, 1234, 2436, 3917, 4896, 6052, 6280, 7678, 492, 1582, 2973, 3504, 4460, 5200, 6828, 8227, 137, 1582, 3129, 3957, 4807, 5454, 7043, 7639, 1008, 1146, 2923, 3513, 4643, 6080, 6866, 7867, 826, 1205, 2348, 3713, 4621, 5781, 6350, 7886, 864, 1205, 2381, 3314, 4653, 5216, 6413, 8139, 104, 1912, 2346, 4106, 4595, 5886, 7221, 7873, 641, 1251, 2282, 3979, 4653, 5745, 6731, 7954, 778, 1912, 2743, 4079, 4288, 5654, 6224, 7474, 614, 1978, 2367, 3427, 4859, 5403, 6484, 7674, 1024, 1838, 2435, 3781, 5124, 5266, 6614, 7447, 104, 1660, 2282, 3159, 4644, 5235, 6603, 8186, 938, 1489, 3092, 3513, 5052, 5958, 6692, 7413, 831, 1369, 2506, 3183, 4983, 5840, 7017, 7422, 424, 1403, 2365, 4096, 4502, 5976, 6614, 7716, 804, 1566, 2659, 4096, 5107, 5210, 6755, 7498, 356, 1601, 2924, 3827, 4379, 5771, 6740, 8085, 568, 1116, 2520, 3276, 5016, 6063, 6291, 7887, 183, 1649, 2992, 3341, 5120, 5586, 6876, 7513, 231, 1906, 2874, 3595, 4437, 6171, 6701, 7498, 103, 1369, 2709, 3305, 4966, 5826, 6365, 8031, 610, 1809, 2687, 3687, 4872, 6148, 6736, 8058, 761, 1250, 2156, 3305, 4441, 5332, 6593, 7419, 1101, 2048, 2402, 3605, 4615, 5645, 6790, 8050, 1101, 2048, 3020, 3936, 4434, 5485, 6958, 7435, 1101, 1299, 3003, 3635, 4796, 5643, 7086, 7701, 884, 1555, 3003, 3571, 5124, 5441, 7053, 7361, 465, 1858, 2727, 3484, 4814, 5658, 6965, 8240, 884, 1499, 2506, 3922, 4321, 5438, 6904, 7293, 271, 1210, 2728, 3329, 5084, 5643, 6974, 7442, 448, 1826, 2661, 4101, 4669, 5447, 6892, 7481, 317, 1171, 2250, 3273, 4943, 5769, 6437, 8035, 228, 2107, 2754, 3908, 4604, 5782, 7203, 8227, 228, 2030, 2791, 3562, 4966, 6208, 6756, 7664, 1099, 1963, 2554, 3951, 5053, 5485, 7044, 7962, 1097, 1869, 2729, 4018, 4925, 5515, 7218, 7641, 956, 2000, 2936, 3803, 4551, 5661, 6709, 8066, 914, 1963, 2947, 3886, 5038, 6175, 6786, 8066, 709, 1747, 3007, 4170, 5165, 5202, 6752, 8267, 211, 1932, 3008, 3990, 4583, 5968, 6996, 7631, 1056, 2125, 3144, 3990, 5166, 5241, 7077, 8179, 211, 1935, 2895, 4114, 5020, 5612, 7006, 8147, 936, 1510, 2396, 3843, 4607, 5254, 7007, 8117, 535, 1244, 2627, 4021, 5001, 5370, 6563, 8109, 1019, 1388, 2751, 4074, 5124, 5862, 6563, 8209, 664, 1808, 2156, 3187, 4400, 6117, 6965, 7634, 876, 1472, 2173, 3788, 4236, 5762, 6414, 7902, 803, 2118, 2716, 3810, 4364, 5566, 7232, 7937, 344, 1131, 3010, 3456, 4458, 6204, 6422, 8150, 137, 1183, 2868, 3392, 4539, 5936, 7081, 8151, 1008, 1183, 2597, 3283, 4506, 5640, 6841, 8235, 1016, 1547, 3092, 3537, 4415, 5410, 7224, 7590, 610, 1873, 2846, 3998, 5182, 5775, 6850, 7954, 390, 1867, 2925, 3391, 4653, 5534, 7230, 7449, 959, 2046, 3095, 3233, 5007, 5298, 6540, 7876, 105, 2017, 2925, 3870, 5058, 5413, 6515, 7965, 568, 2098, 2468, 3188, 4320, 5580, 6393, 8195, 256, 2002, 2820, 3178, 4875, 5493, 6604, 7555, 617, 1586, 2860, 3680, 5120, 6117, 7201, 7367, 484, 1635, 2775, 3819, 4512, 6175, 6515, 7563, 186, 2065, 2803, 3914, 4287, 5963, 7168, 8237, 956, 2073, 2729, 3516, 4583, 5210, 6688, 8195, 308, 1705, 2838, 4171, 5166, 5901, 7084, 8237, 955, 1924, 3008, 3602, 4630, 5705, 6979, 8260, 211, 1993, 3143, 3918, 4861, 6129, 7084, 7948, 663, 2107, 3150, 3710, 5058, 5901, 6613, 7706, 424, 1931, 2957, 3516, 5129, 6095, 6588, 7615, 641, 1867, 2562, 3376, 4925, 5548, 7111, 7887, 831, 1939, 2221, 3807, 4932, 5880, 7017, 8008, 641, 1986, 2359, 3233, 4641, 5586, 6734, 7950, 1084, 1850, 3092, 3162, 4709, 5431, 6870, 8080, 113, 1145, 2359, 3968, 4807, 6105, 6612, 7615, 802, 1930, 2868, 3363, 4771, 5853, 6663, 7983, 936, 1655, 2396, 4080, 5011, 5764, 7086, 8047, 993, 1669, 2207, 3999, 4332, 5749, 6626, 8018, 778, 1582, 3092, 3669, 4764, 5475, 6708, 7954, 104, 1838, 2232, 3600, 5040, 5849, 7169, 8135, 1025, 1838, 2435, 4147, 5003, 6191, 6870, 7451, 887, 1897, 2133, 3338, 4929, 5405, 6566, 7976, 641, 1572, 2998, 3427, 4770, 5399, 6409, 7753, 408, 1318, 2506, 4095, 4270, 5297, 6458, 7264, 850, 1146, 2222, 4137, 5097, 5474, 6796, 7488, 778, 1440, 2771, 3427, 4982, 5696, 6714, 7886, 104, 1326, 3112, 3685, 4687, 6080, 6728, 8034, 1025, 1577, 2506, 3393, 4687, 5991, 7107, 7889, 778, 1838, 2495, 4152, 4468, 6065, 7041, 8193, 887, 1675, 2389, 3325, 5097, 5764, 6796, 7746, 536, 1721, 2175, 3560, 4298, 5938, 6396, 8174, 536, 1721, 2944, 3869, 5175, 5695, 6458, 7881, 299, 1141, 2695, 3960, 4644, 5944, 6734, 7565, 299, 1141, 2675, 3236, 5124, 6125, 6716, 7856, 1081, 1700, 3026, 3582, 4931, 6184, 6924, 8012, 512, 1700, 2959, 3540, 4536, 5883, 7218, 8260, 1056, 1869, 2520, 3226, 4470, 5749, 6776, 7816, 308, 1620, 2838, 4071, 5165, 5635, 6302, 8107, 103, 1601, 2998, 3706, 4255, 5486, 6858, 8078, 610, 1768, 2771, 3720, 4954, 6007, 6740, 7505, 993, 1346, 2513, 3298, 4206, 5441, 6966, 7519, 996, 1915, 2361, 4125, 4364, 6204, 6910, 7904, 1022, 1296, 2361, 4125, 4339, 6005, 6293, 7487, 571, 1346, 2996, 3842, 4775, 5386, 6867, 7718, 308, 2111, 2984, 3578, 4501, 5345, 7237, 8076, 1099, 2065, 2970, 4135, 4551, 6123, 6852, 7303, 818, 1804, 3007, 3891, 4782, 5963, 6677, 7806, 818, 2000, 2164, 3990, 4704, 5219, 7006, 8147, 935, 2000, 2996, 4018, 4630, 5661, 7077, 8185, 935, 1874, 3095, 4068, 5080, 6051, 6979, 8237, 1099, 2000, 2746, 3710, 4704, 6085, 7084, 7948, 1099, 2000, 3065, 3374, 5083, 5534, 7218, 8260, 663, 1206, 3064, 4011, 4387, 5550, 6612, 8260, 216, 1682, 2771, 3851, 4927, 5228, 6966, 7355, 211, 1458, 2869, 3975, 4727, 6167, 7024, 7508, 1090, 1503, 2797, 3983, 4427, 5664, 6419, 7267, 231, 1577, 2536, 3644, 4658, 5918, 6871, 7743, 952, 2073, 2336, 3458, 4955, 5998, 6874, 7559, 1024, 1440, 2895, 3586, 4343, 5316, 6986, 7250, 1008, 2126, 2905, 4110, 5011, 6120, 6426, 7508, 407, 1503, 2365, 3979, 5040, 5627, 6678, 7855, 407, 1293, 2373, 3578, 4891, 6055, 7021, 7592, 1017, 1205, 3010, 3450, 5094, 5461, 6476, 7789, 966, 1205, 2757, 3713, 4415, 5997, 6348, 7497, 763, 1880, 2480, 4024, 5027, 5870, 7206, 7809, 834, 1538, 2345, 3152, 4984, 5397, 6663, 7656, 1070, 1660, 2721, 3482, 4995, 5397, 6592, 7818, 547, 1641, 2536, 3988, 5024, 5447, 7055, 7779, 508, 1821, 2680, 3263, 4214, 6086, 6477, 7869, 895, 1178, 2173, 3215, 4396, 5810, 6442, 7502, 620, 1499, 2173, 3971, 4678, 5423, 6722, 7740, 1033, 1976, 2814, 3840, 5017, 6141, 6225, 8177, 752, 1603, 3034, 3394, 4365, 5978, 6589, 7423, 1025, 1467, 2163, 3394, 4189, 5713, 6663, 8176, 684, 1238, 2429, 3440, 5068, 5730, 7109, 8016, 1056, 1858, 2820, 4088, 5169, 6087, 7207, 8066, 804, 1660, 3144, 3886, 4925, 6195, 7207, 8267, 1097, 1508, 3110, 4108, 5166, 5705, 6972, 7876, 186, 1963, 2806, 4011, 5104, 6139, 6688, 7570, 818, 2017, 2781, 4018, 5129, 6211, 6776, 7631, 1015, 2017, 2709, 3914, 4735, 5963, 6688, 7476, 221, 1286, 2886, 4093, 5185, 5954, 6281, 7476, 859, 1550, 3110, 3478, 4870, 5963, 7152, 7776, 304, 1333, 2381, 3218, 4513, 5677, 7114, 7664, 1052, 1831, 2161, 3261, 5138, 5641, 6684, 7880, 249, 1397, 2165, 3298, 4589, 5656, 6783, 7851, 249, 1539, 2346, 3456, 4568, 5321, 6880, 7633, 1070, 1296, 2869, 3928, 4236, 6220, 6983, 8073, 966, 1624, 2487, 3770, 4421, 6192, 6928, 8263, 840, 1316, 2869, 3303, 4574, 6002, 6921, 8241, 428, 1924, 2751, 3770, 4898, 5577, 7174, 7835, 1067, 1490, 2689, 3721, 4321, 6034, 6283, 8270, 373, 1212, 2944, 3540, 4773, 5948, 6860, 7512, 512, 1932, 2754, 4108, 4782, 5436, 7008, 7516, 288, 1467, 3095, 3277, 4912, 6063, 6852, 8107, 779, 1660, 3128, 3891, 5104, 6195, 7163, 7631, 1056, 1992, 3007, 3593, 4512, 5241, 7239, 8266, 666, 1198, 2163, 3869, 4757, 5346, 7198, 7912, 1011, 1937, 2868, 3751, 4319, 6118, 7060, 7657, 1080, 2094, 2429, 3790, 5124, 5325, 7067, 7616, 1003, 2091, 3130, 3601, 4902, 5993, 6828, 8086, 1024, 1828, 2139, 3307, 4766, 6097, 7215, 7761, 678, 1685, 2611, 3749, 4617, 6204, 6820, 7682, 980, 1831, 2615, 4155, 4691, 5784, 7112, 7629, 831, 1164, 2429, 3773, 4379, 5756, 7222, 7584, 1081, 1141, 2582, 3717, 4527, 5984, 6256, 7919, 678, 1141, 2391, 3472, 4993, 5657, 7047, 7806, 288, 2073, 2582, 3771, 4229, 5573, 7100, 8132, 940, 1141, 2658, 3692, 4663, 5648, 6744, 7855, 288, 1931, 2163, 4096, 4966, 6113, 6980, 8070, 678, 1141, 2946, 3918, 4343, 5901, 7058, 8076, 288, 1485, 2946, 3634, 4179, 5761, 6980, 7878, 678, 1623, 2947, 3918, 4440, 5573, 7010, 7677, 940, 1363, 2895, 4103, 4797, 5385, 6584, 7825, 684, 1707, 3144, 3823, 4555, 5844, 6872, 7393, 228, 2059, 2830, 3746, 5139, 6149, 7119, 8083, 518, 2127, 3091, 3550, 4611, 5609, 6668, 7732, 228, 2106, 3021, 4125, 5048, 5981, 6671, 7476, 518, 1550, 2664, 3891, 4737, 6048, 6486, 7962, 256, 1252, 2970, 3518, 5083, 5397, 6584, 8093, 256, 2061, 3133, 3528, 5075, 5515, 7103, 7557, 555, 1826, 2221, 3873, 5083, 5296, 7019, 7303, 860, 2017, 2554, 4174, 4704, 6139, 7129, 8147, 860, 1528, 2806, 3825, 4624, 6186, 7077, 8147, 488, 2017, 3117, 3367, 4798, 5635, 7124, 8147, 915, 1974, 2554, 3904, 5120, 6139, 6443, 7715, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 142, 2017, 2914, 4071, 4704, 6186, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7077, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 16, 28, 52, 45, 75, 47, 16, 54, 5, 5, 5, 16, 54, 27, 16, 52, 39, 65, 16, 54, 5, 5, 5, 31, 33, 63, 5, 62, 63, 33, 41, 35, 16, 28, 16, 52, 5, 5, 5, 11, 63, 16, 54, 66, 5, 31, 39, 5, 5, 5, 57, 5, 5, 5, 77, 33, 64, 5, 5, 3, 956, 1851, 2941, 3803, 4611, 5908, 7010, 7498, 850, 1260, 2346, 3954, 4506, 6023, 6298, 7805, 277, 1667, 2286, 3509, 4962, 5965, 6838, 8239, 1008, 2029, 2286, 3174, 4709, 5769, 7188, 7616, 1016, 2090, 2995, 4029, 4536, 5660, 7106, 8262, 833, 1468, 2607, 3894, 4339, 6032, 6810, 7557, 779, 1499, 2730, 3616, 4186, 6025, 6734, 8076, 684, 2032, 2407, 3220, 4191, 5811, 6677, 8076, 512, 1869, 3108, 4071, 4994, 5359, 7132, 7557, 914, 1370, 2965, 4166, 4445, 5850, 7217, 7641, 1099, 2064, 3128, 3945, 5060, 5850, 6988, 7806, 510, 1869, 2989, 4114, 5060, 5661, 6972, 8267, 914, 2046, 2960, 4018, 5060, 6103, 6709, 7876, 691, 1817, 2564, 3371, 4583, 5586, 6338, 7658, 408, 1906, 2905, 3928, 4374, 5493, 6901, 7254, 138, 1141, 3150, 4103, 5085, 5957, 6671, 7905, 138, 1199, 2503, 4137, 5088, 5947, 6563, 7633, 676, 1199, 2771, 4137, 5032, 5671, 7125, 7899, 839, 1261, 2564, 3882, 4441, 5914, 7082, 8119, 870, 1299, 3040, 3433, 4205, 5397, 6744, 8231, 1103, 1449, 3040, 3233, 4205, 6199, 6582, 7336, 994, 1331, 2587, 3729, 4664, 5775, 7112, 7333, 864, 1695, 2633, 3599, 5151, 5413, 6865, 7290, 981, 2008, 2359, 3426, 4902, 5257, 6886, 8103, 440, 1388, 2137, 3470, 4773, 5728, 6241, 7365, 1056, 1206, 2975, 3225, 4269, 5843, 6605, 7263, 940, 1519, 2468, 3188, 5006, 5515, 6894, 7947, 256, 1275, 2468, 3885, 4450, 5730, 7232, 7899, 440, 1540, 2980, 3364, 5169, 5678, 6382, 7876, 756, 1797, 2315, 4111, 5124, 5892, 6671, 8080, 757, 1125, 2874, 3351, 4224, 6147, 6901, 8099, 424, 1462, 2826, 3801, 4214, 5767, 6830, 7965, 104, 1289, 2401, 3307, 4604, 5565, 6892, 7997, 487, 2079, 2610, 3770, 4604, 5733, 6917, 8128, 103, 1238, 2515, 4147, 5146, 5653, 6728, 8205, 103, 1178, 2751, 4147, 4340, 6086, 6892, 7311, 103, 1566, 2720, 3851, 5005, 6113, 6263, 7542, 643, 2034, 2990, 3792, 4936, 5470, 6542, 7537, 970, 2034, 3098, 3615, 4775, 5408, 7149, 7618, 738, 1421, 2971, 3751, 4671, 5982, 6614, 7248, 725, 2114, 2171, 3904, 4876, 5616, 6701, 7825, 970, 2111, 2718, 3493, 5139, 5887, 7017, 7859, 684, 1992, 2167, 4092, 5079, 5911, 6348, 7939, 804, 1998, 2746, 3771, 4912, 6058, 7013, 7557, 678, 1918, 3056, 4082, 4536, 5413, 7004, 7957, 1037, 1485, 2315, 3472, 4589, 6175, 6915, 7717, 955, 1280, 2552, 4150, 4670, 5966, 7111, 8097, 211, 2068, 2429, 3539, 4573, 6146, 6967, 8080, 940, 1139, 2366, 4115, 4622, 6204, 6809, 7248, 1081, 2065, 2514, 4078, 4323, 5960, 7217, 8235, 899, 1653, 2582, 3909, 4877, 5861, 6402, 8100, 552, 1248, 3018, 3710, 4589, 5767, 7162, 7303, 186, 2111, 2833, 3819, 4387, 5811, 7120, 8076, 488, 1218, 2781, 4011, 4782, 5241, 6979, 8076, 818, 1869, 2914, 4018, 5080, 5635, 7239, 8185, 818, 1622, 3110, 3710, 4624, 6129, 7201, 7766, 818, 2017, 3065, 3825, 5080, 5635, 6794, 8147, 488, 1528, 2164, 3893, 4624, 6139, 7239, 8196, 488, 1528, 3065, 3893, 4512, 6139, 6794, 8223, 915, 2017, 2970, 3825, 4870, 5811, 6996, 8196, 186, 1648, 2833, 4071, 5060, 6081, 6677, 7766, 488, 1622, 2164, 3893, 4704, 6139, 6584, 8196, 488, 2032, 2806, 3893, 4704, 5635, 6988, 8147, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 915, 1622, 3065, 3825, 4798, 5635, 7201, 8223, 1056, 2067, 3144, 3480, 5081, 5911, 6840, 7939, 839, 1349, 3077, 4147, 4728, 5507, 6256, 7649, 1065, 1346, 2487, 3531, 4357, 5651, 6598, 8031, 1050, 1446, 2951, 3817, 5074, 5533, 6696, 8165, 862, 1513, 3018, 3880, 5010, 5894, 6234, 7538, 1033, 1120, 2734, 4083, 4935, 6128, 6335, 7996, 223, 1120, 2868, 3159, 4205, 5587, 6800, 8164, 1033, 1886, 2564, 3913, 5149, 5477, 6565, 8202, 938, 1668, 2564, 3271, 4853, 5950, 7014, 7771, 323, 1177, 2358, 3993, 4214, 5477, 7165, 7527, 161, 1558, 2345, 3459, 4621, 5484, 6909, 8017, 673, 1352, 3040, 3555, 4286, 5286, 6977, 7761, 428, 1776, 2628, 3551, 4731, 6096, 6909, 7761, 692, 1843, 2822, 3493, 5005, 6152, 6772, 7496, 862, 1183, 2171, 3607, 4874, 6217, 6819, 7650, 1041, 1152, 3138, 4003, 5005, 6059, 7068, 7371, 668, 1217, 2831, 3233, 4465, 5846, 6894, 7621, 1036, 2011, 2209, 3717, 4905, 6059, 6587, 8069, 692, 1168, 2509, 3404, 4699, 5843, 7140, 8024, 161, 1120, 2464, 3404, 4226, 5972, 6885, 8130, 774, 1178, 2788, 4075, 4457, 5710, 6883, 7873, 1041, 1438, 2661, 3695, 4259, 5500, 6968, 8061, 835, 2091, 2311, 3939, 4943, 5847, 6608, 8221, 774, 1621, 2436, 3485, 4573, 5300, 7179, 7259, 584, 1299, 2346, 3806, 4360, 5224, 6762, 7683, 368, 1617, 2505, 3259, 4620, 5787, 6685, 7981, 161, 1415, 2337, 3993, 5124, 5565, 6812, 7886, 1080, 1843, 2763, 3254, 4697, 6114, 6615, 7792, 1080, 1183, 2581, 3499, 5128, 5746, 6735, 8176, 643, 1199, 2506, 3910, 4369, 5429, 6569, 7408, 575, 2066, 2690, 3934, 5109, 5395, 6434, 7396, 692, 1926, 2681, 3282, 4602, 6066, 7194, 8137, 1036, 1183, 2681, 3469, 4845, 5338, 6372, 7894, 1036, 1183, 2937, 3178, 4864, 6114, 7171, 7527, 1036, 1438, 2564, 3511, 4887, 5226, 7171, 7271, 234, 1703, 2172, 3511, 5124, 5337, 6905, 8137, 862, 2099, 2951, 3332, 5184, 5486, 7161, 7842, 702, 1164, 2353, 3993, 5135, 6118, 6891, 7777, 1023, 1550, 2355, 3864, 4663, 5289, 7043, 7954, 487, 1782, 2713, 3268, 5031, 5706, 6765, 7981, 807, 1563, 2311, 3644, 4651, 5771, 6631, 8074, 582, 1692, 2311, 3963, 4789, 5824, 6965, 7920, 390, 1876, 2419, 3617, 4918, 5824, 6927, 8259, 183, 1601, 2556, 3680, 4918, 6014, 7154, 7992, 568, 1974, 2946, 3555, 5190, 6137, 6393, 7528, 568, 1768, 3147, 3879, 4201, 5837, 6283, 7706, 568, 2034, 2230, 3555, 4617, 5389, 7047, 7477, 118, 1147, 2515, 4125, 4724, 5767, 6607, 8117, 183, 2106, 2709, 3955, 4412, 5438, 7230, 7721, 757, 2127, 3133, 3955, 5106, 6010, 6443, 8267, 617, 1961, 3007, 4145, 4536, 6182, 7120, 7303, 617, 1586, 2944, 3470, 4681, 5438, 7232, 8080, 663, 1373, 2895, 3866, 4512, 5640, 7201, 8076, 761, 1794, 2427, 3605, 4853, 6014, 6849, 8236, 266, 1326, 3005, 3375, 4364, 5547, 6698, 8137, 936, 1326, 2564, 3169, 4483, 5965, 6610, 8250, 1035, 1141, 2203, 3873, 5140, 5782, 6396, 7582, 778, 1782, 2440, 3530, 4226, 5844, 6648, 7498, 299, 1141, 2357, 3696, 5018, 5415, 6224, 7706, 104, 1510, 3020, 3634, 4688, 5325, 6349, 7558, 850, 1350, 2731, 4096, 5171, 5294, 6649, 7378, 826, 1577, 2563, 4007, 4337, 5485, 6723, 7908, 408, 1990, 2387, 3161, 5110, 5548, 6915, 8173, 850, 2117, 2440, 4096, 4365, 5599, 6663, 7917, 826, 1141, 2926, 4082, 4483, 5246, 6627, 8025, 104, 1141, 3101, 3307, 4191, 5684, 6885, 8117, 641, 1717, 2492, 3870, 4374, 5204, 6710, 7538, 424, 1797, 2655, 3692, 4763, 6163, 6709, 8209, 779, 1953, 2946, 3932, 5073, 5981, 7230, 7908, 857, 1930, 3006, 4026, 4588, 5695, 6566, 7462, 117, 1596, 2346, 3241, 4654, 5368, 6769, 8128, 117, 1346, 2346, 3563, 5070, 5893, 6799, 8028, 896, 1706, 2836, 3180, 5188, 5722, 6510, 8268, 900, 1472, 3097, 4049, 4848, 6138, 6511, 8189, 900, 1185, 3123, 3843, 4774, 5347, 6768, 7649, 774, 1385, 2173, 4137, 4972, 5729, 6371, 7453, 584, 1315, 2731, 3934, 4412, 5611, 6384, 7560, 584, 1503, 2990, 4128, 4280, 5429, 6648, 7685, 511, 1151, 2869, 3256, 4548, 5370, 6478, 7429, 835, 1503, 2161, 3192, 5094, 6179, 6791, 8133, 428, 1503, 2481, 4155, 4326, 5841, 6894, 7675, 100, 1503, 2292, 3558, 4237, 5965, 7229, 7586, 956, 1820, 3008, 3918, 4849, 5829, 7163, 7248, 984, 1490, 2984, 3918, 5073, 5981, 7152, 8107, 427, 1332, 2866, 4067, 5183, 6007, 6890, 8145, 984, 2017, 2970, 3201, 4423, 6014, 7239, 7752, 935, 2046, 2899, 3361, 4872, 6051, 6988, 7631, 984, 1664, 3006, 4152, 4387, 5661, 6988, 8066, 935, 2017, 3095, 3206, 4533, 5219, 6988, 7764, 186, 2017, 2838, 3825, 4551, 6085, 7132, 8223, 935, 1528, 2391, 3886, 4387, 5883, 6774, 8237, 415, 1147, 2720, 4111, 4555, 5749, 6565, 7313, 568, 1264, 2221, 3776, 4398, 5581, 7103, 8017, 613, 1736, 3099, 4064, 4285, 5730, 6909, 7976, 1033, 1849, 3150, 3974, 4513, 5463, 6816, 7918, 283, 1306, 2592, 3609, 5154, 5563, 7038, 7555, 665, 1517, 2545, 3924, 4835, 5382, 6623, 8264, 600, 1736, 2951, 3493, 5117, 5721, 6536, 7982, 491, 1335, 2951, 3421, 4323, 5251, 7209, 7704, 600, 1633, 2741, 4003, 4197, 5585, 7142, 8136, 908, 1376, 2741, 3245, 4176, 6002, 6764, 7793, 569, 1865, 3088, 4137, 4864, 5603, 6295, 7896, 750, 1889, 2661, 3525, 4844, 5461, 6234, 8018, 518, 1966, 2341, 3711, 4931, 5341, 7162, 7262, 901, 2125, 3008, 3555, 5167, 5568, 6755, 7467, 518, 1452, 2560, 3961, 4289, 5503, 7160, 8076, 878, 1998, 2880, 3645, 4881, 5723, 7120, 7248, 440, 2041, 3007, 3555, 4980, 5500, 6338, 7856, 878, 2041, 2729, 3225, 4877, 6025, 6579, 7547, 715, 1963, 2340, 3827, 4859, 5218, 7111, 8237, 750, 1937, 2340, 3916, 5073, 5550, 7157, 7962, 761, 1723, 2855, 4138, 4248, 5796, 6856, 8139, 814, 2052, 3089, 3943, 4369, 5358, 7028, 7386, 344, 1887, 2878, 3417, 4375, 5468, 6553, 7415, 665, 1442, 2256, 3398, 5111, 5354, 6240, 7902, 665, 1512, 2312, 3417, 4807, 5976, 6308, 7549, 160, 1669, 2777, 3717, 4969, 5905, 6871, 7784, 390, 2088, 2895, 3994, 5122, 5702, 7140, 7428, 512, 1873, 2924, 3516, 4782, 5840, 6515, 7720, 955, 2088, 2795, 3873, 4334, 6063, 6891, 8195, 663, 1540, 3143, 3848, 4912, 5883, 6589, 8054, 715, 1508, 2988, 3470, 5019, 6123, 7100, 8259, 1035, 1889, 2294, 3454, 4923, 6171, 6640, 7810, 761, 1874, 2137, 3667, 5152, 5574, 6546, 7544, 277, 1266, 3090, 3599, 4825, 6174, 6592, 8150, 277, 2048, 2275, 3547, 4755, 5447, 6592, 7401, 803, 1554, 2452, 3667, 4865, 5936, 6343, 7734, 917, 1543, 2280, 4084, 4571, 5902, 6648, 7442, 620, 2050, 2951, 3906, 4814, 5838, 6367, 8271, 938, 1469, 2831, 3868, 4365, 5733, 6335, 7790, 545, 1469, 2336, 3934, 4900, 5250, 6716, 7737, 970, 1974, 2173, 3565, 4809, 5227, 6626, 8009, 504, 1974, 3040, 3605, 5141, 6088, 6540, 8213, 1024, 1469, 2726, 3868, 4529, 6203, 6251, 7903, 531, 1543, 2840, 3934, 4543, 5387, 6775, 7620, 531, 1183, 2710, 3883, 4892, 5408, 6628, 7831, 803, 1346, 2673, 3419, 5175, 5819, 7037, 7992, 179, 1554, 2286, 3587, 5074, 5542, 7110, 7385, 966, 1743, 2405, 3748, 4808, 6158, 7123, 7991, 428, 1775, 2707, 3584, 5108, 5615, 6429, 7358, 368, 1641, 2667, 3214, 4626, 5716, 6429, 7995, 581, 1860, 2655, 3259, 5108, 5997, 6247, 7274, 835, 1318, 3035, 3890, 5019, 5247, 6976, 7987, 835, 1512, 2877, 3438, 4471, 5429, 6601, 7904, 494, 1351, 2801, 3693, 4439, 6083, 6632, 7755, 655, 1512, 2232, 3792, 4655, 5944, 7092, 7739, 1041, 1512, 2975, 3570, 4661, 5711, 6587, 8061, 1041, 2117, 2440, 3441, 4459, 6036, 6614, 8225, 884, 1674, 2436, 3177, 4485, 6118, 6608, 7318, 993, 1828, 3005, 3986, 4364, 5344, 6684, 7394, 993, 1773, 3040, 4008, 4364, 5979, 6803, 7880, 955, 1671, 2946, 3372, 4764, 5873, 7106, 7855, 752, 1700, 2352, 3258, 5098, 5968, 7017, 8066, 1090, 1540, 2440, 3975, 4782, 6103, 6613, 7717, 610, 1897, 3061, 3987, 5139, 5548, 6774, 8054, 390, 1700, 2998, 4113, 4861, 5978, 6229, 7664, 833, 1519, 3053, 4005, 4782, 6058, 6988, 7715, 756, 1467, 2163, 4166, 4870, 5963, 6607, 8237, 500, 1797, 2341, 3690, 5091, 5564, 6939, 8035, 569, 1825, 2396, 3417, 5050, 5637, 6474, 7683, 665, 1653, 3037, 3356, 4835, 5579, 6692, 7533, 845, 1303, 2836, 3394, 5117, 5671, 6762, 8248, 346, 1424, 2830, 3845, 5105, 5322, 6248, 7955, 761, 1185, 2141, 3436, 4959, 5588, 7028, 8189, 326, 1294, 3125, 3295, 4848, 6145, 6277, 7313, 730, 1563, 3105, 3276, 4435, 5602, 6509, 7442, 407, 1231, 2872, 3651, 4205, 5257, 6270, 8149, 870, 2095, 2882, 3356, 4920, 5406, 6449, 7687, 995, 1896, 2247, 3981, 4443, 6035, 6746, 7558, 545, 1843, 2481, 4153, 4777, 6165, 6793, 8075, 938, 1905, 2731, 3254, 4609, 6118, 7004, 8150, 231, 1905, 2304, 3732, 4176, 6190, 6470, 7509, 571, 1974, 2326, 3771, 4915, 5318, 6756, 8206, 914, 1675, 2932, 3229, 4918, 5514, 6830, 7260, 914, 1804, 3021, 3710, 4888, 5687, 6979, 8126, 186, 2068, 3021, 4174, 4888, 6103, 6972, 7764, 935, 1750, 3043, 3771, 4512, 6103, 7152, 8147, 935, 1175, 3128, 4174, 5061, 6014, 7120, 8260, 818, 1175, 2914, 3226, 4782, 6025, 6979, 8196, 818, 1528, 2746, 4085, 5058, 6195, 7124, 7949, 818, 2017, 2914, 3710, 4888, 5635, 7124, 8195, 818, 2017, 2164, 3710, 5080, 6139, 6979, 8223, 488, 1528, 2164, 3893, 4624, 6103, 7201, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 789, 2097, 2957, 4011, 4512, 5892, 6988, 7723, 537, 1898, 3098, 3374, 4555, 5702, 6979, 7494, 948, 2050, 2576, 4084, 5138, 5255, 6441, 7733, 1059, 1686, 3040, 4147, 4760, 5787, 7179, 8214, 401, 1469, 2831, 3826, 5128, 5263, 6338, 7664, 1011, 2050, 2965, 3851, 4777, 5957, 6474, 7899, 643, 2047, 2133, 3267, 4576, 5594, 7192, 7721, 970, 1982, 2490, 4112, 5165, 5829, 6961, 7995, 1081, 1234, 2985, 3218, 4441, 5516, 6912, 7768, 678, 1897, 3043, 3856, 4691, 5598, 7230, 8261, 223, 1924, 3108, 4064, 5061, 6129, 7168, 7898, 304, 1915, 3092, 3945, 5145, 5705, 6988, 7291, 304, 1791, 2716, 3961, 5106, 5376, 7006, 8080, 804, 1139, 2980, 3352, 4780, 6051, 6579, 7624, 779, 1924, 2254, 3407, 4925, 5586, 6982, 8237, 914, 2000, 3043, 4068, 4512, 5694, 6579, 8185, 779, 1885, 2957, 3546, 4609, 5470, 7037, 8099, 513, 1989, 2787, 4064, 4877, 5429, 7207, 8261, 1059, 1281, 2463, 3943, 4350, 5840, 6613, 8205, 1059, 2125, 2610, 3579, 4622, 5934, 6849, 7538, 708, 1277, 2360, 3472, 4338, 5844, 6614, 8268, 317, 1577, 2453, 3472, 4894, 5797, 6521, 7887, 115, 1633, 2272, 4037, 4319, 5478, 7243, 7753, 487, 1645, 2355, 4126, 4297, 5894, 7191, 7904, 825, 1633, 2453, 3555, 4364, 5979, 7051, 7378, 448, 1112, 2316, 3743, 5117, 6006, 6474, 8134, 1059, 1475, 2872, 3229, 4205, 5370, 6881, 7312, 986, 1564, 2669, 3981, 4834, 5750, 6731, 7509, 825, 2094, 2965, 4095, 4945, 5734, 6929, 7349, 995, 1316, 2273, 3313, 4412, 6002, 6235, 8050, 1049, 1287, 3109, 3171, 5198, 5263, 6648, 7524, 1070, 1564, 3116, 3877, 4582, 5837, 7137, 7774, 927, 1408, 2353, 4153, 4727, 5366, 6224, 8070, 981, 1913, 2141, 3576, 5016, 5652, 6765, 7312, 952, 2068, 2951, 4127, 5042, 5918, 6742, 7774, 715, 1994, 2453, 3717, 4946, 5446, 7047, 7962, 708, 1794, 2932, 3387, 4848, 5474, 6344, 8189, 715, 1653, 2556, 3528, 4601, 5952, 6310, 7538, 863, 1349, 2583, 3509, 4641, 5920, 7207, 8061, 552, 1653, 2582, 3995, 4986, 6058, 6584, 7635, 183, 2111, 3046, 3277, 4622, 6160, 7129, 7959, 225, 2032, 2839, 3662, 4863, 6119, 6892, 8097, 225, 1452, 3133, 3711, 4555, 5942, 7152, 7677, 195, 1585, 2987, 3555, 4592, 5954, 7197, 8102, 195, 1313, 2156, 3518, 5159, 5521, 6734, 8080, 195, 1264, 2858, 3681, 4929, 5219, 7168, 8164, 195, 1789, 2918, 3245, 5129, 6084, 6789, 8022, 518, 2127, 3099, 3592, 5135, 5890, 6486, 8150, 518, 2034, 2469, 3799, 4859, 6175, 6800, 7397, 518, 2118, 2987, 3470, 4852, 5481, 6810, 7865, 256, 1304, 3133, 4174, 5168, 6175, 6752, 8261, 256, 1304, 3133, 4174, 4836, 6157, 6612, 7574, 617, 1961, 2565, 4174, 4790, 6110, 7098, 8179, 419, 1684, 2554, 3595, 5007, 5218, 6889, 7481, 859, 1826, 3133, 3518, 5138, 5942, 6810, 7831, 555, 2111, 3064, 3914, 4877, 5514, 7124, 7838, 488, 1528, 3065, 3803, 4704, 5677, 6752, 7715, 818, 1648, 2806, 3893, 4624, 5677, 7124, 7715, 915, 1622, 2164, 3893, 4624, 5677, 7124, 8147, 4, 2 ]

[ 1, 64, 57, 5, 14, 78, 5, 66, 73, 5, 76, 39, 64, 66, 5, 54, 57, 5, 43, 48, 66, 5, 5, 3, 654, 1496, 2158, 4175, 4276, 5397, 6863, 8077, 216, 1889, 2345, 3891, 4755, 5310, 6950, 7846, 685, 2024, 2629, 3915, 4818, 5379, 7212, 7675, 665, 1562, 2429, 3740, 4810, 5660, 6829, 7732, 759, 1376, 2766, 3771, 4835, 5372, 6240, 8213, 223, 2070, 3033, 3656, 5134, 5264, 6284, 8049, 802, 1865, 2214, 3452, 5175, 6199, 6328, 8215, 150, 2050, 2349, 3892, 5160, 5576, 6703, 7336, 150, 1582, 2357, 3201, 4368, 5649, 6583, 7639, 961, 2048, 2486, 3175, 4310, 5695, 6825, 7927, 961, 2048, 2721, 3175, 4419, 5318, 7017, 7631, 961, 2048, 2860, 3589, 5155, 6087, 6677, 7870, 1025, 1290, 2441, 3598, 4337, 5220, 7085, 7385, 643, 1913, 2674, 3842, 5141, 6171, 7217, 7948, 678, 1721, 3150, 3685, 4700, 5498, 6688, 7594, 1081, 1924, 2754, 3847, 4630, 6007, 7217, 7949, 940, 1670, 2965, 3908, 4427, 5834, 7237, 7437, 643, 2035, 2493, 3536, 4586, 5844, 7010, 7816, 1081, 1721, 3023, 3885, 4966, 5220, 6953, 7631, 610, 1919, 2965, 4150, 4554, 5378, 6985, 7806, 940, 2117, 2820, 4133, 5053, 6087, 6668, 8017, 645, 1518, 2975, 3206, 4573, 5598, 6859, 7691, 645, 1934, 3092, 4059, 5044, 5952, 6583, 7547, 645, 1379, 3130, 3192, 4952, 5951, 6528, 8078, 103, 1827, 2987, 3619, 4842, 5694, 6487, 7528, 645, 1139, 2839, 4074, 4434, 6165, 6736, 7367, 955, 1945, 2731, 4143, 4229, 5963, 6234, 8172, 955, 1826, 2847, 3440, 4384, 5514, 6876, 7776, 756, 1773, 2139, 4114, 4423, 5586, 6889, 8238, 225, 1736, 2692, 3588, 4415, 5325, 6566, 7723, 228, 1249, 2860, 3914, 5160, 5901, 6889, 7732, 228, 1304, 2593, 3555, 5079, 5219, 6615, 7918, 228, 1345, 2992, 4113, 4859, 5474, 6474, 8261, 256, 1440, 3065, 4037, 5083, 5962, 6740, 7816, 105, 1597, 2806, 4037, 4888, 6149, 7120, 7715, 915, 2078, 3065, 4125, 4512, 5438, 6889, 8237, 105, 2127, 2941, 3391, 4844, 5635, 7103, 7303, 225, 1349, 2250, 3550, 4762, 5837, 7207, 8164, 757, 1961, 2970, 3891, 4980, 5350, 6579, 8130, 223, 1966, 2315, 3811, 5150, 6001, 7222, 8209, 761, 1407, 2436, 4155, 4690, 6000, 7183, 7966, 150, 1238, 2515, 3442, 4441, 5453, 6921, 8247, 211, 1335, 3150, 3385, 4925, 5538, 6642, 7886, 1090, 1350, 2998, 4164, 4181, 5344, 6404, 8195, 610, 1717, 2255, 3420, 5080, 6070, 7129, 7720, 424, 1499, 3095, 3440, 4551, 6131, 6630, 7846, 1090, 1175, 2936, 3803, 4859, 5832, 6507, 8237, 1035, 1251, 2470, 3676, 4617, 5346, 6674, 7528, 1024, 1335, 2347, 3356, 4722, 6141, 6400, 7515, 569, 2067, 2282, 3701, 4205, 6044, 6884, 8111, 212, 1541, 3101, 3385, 4205, 5870, 7229, 8266, 692, 1472, 3026, 3321, 4340, 5485, 6578, 7737, 881, 1951, 2927, 3709, 4338, 6041, 7083, 7829, 545, 1202, 2940, 3329, 4916, 5695, 6768, 7673, 582, 1577, 2543, 4007, 4338, 5485, 6224, 7430, 887, 1121, 2401, 3576, 4437, 6154, 6909, 8132, 487, 1763, 2383, 3576, 4364, 5379, 6302, 7298, 756, 2021, 3006, 3873, 4720, 5325, 6560, 7381, 256, 1675, 2992, 3543, 4804, 6094, 6347, 7643, 568, 1460, 2801, 3786, 4506, 5656, 6717, 8260, 225, 1147, 2833, 3723, 4903, 5901, 7201, 8055, 225, 1147, 2341, 4037, 4863, 5637, 6704, 8081, 225, 2052, 2221, 3891, 4486, 5586, 6528, 8164, 654, 1332, 2554, 3955, 5159, 5514, 6607, 8260, 240, 1468, 2729, 3595, 4870, 5963, 6579, 7887, 915, 1851, 3035, 3914, 4512, 6137, 6671, 8262, 915, 1528, 3021, 3595, 4912, 6205, 7069, 8147, 818, 1528, 3021, 3550, 4912, 5514, 6584, 8237, 419, 1992, 3007, 3914, 5058, 6149, 6612, 7256, 1081, 1141, 2960, 3932, 4918, 5515, 7230, 7664, 211, 1637, 2971, 3732, 4782, 5436, 6967, 8248, 752, 2079, 3098, 3909, 5038, 5892, 6612, 7919, 752, 2079, 3008, 3472, 4287, 5378, 6810, 8266, 304, 1669, 2598, 3271, 5166, 6195, 7010, 8046, 424, 1944, 2462, 3771, 4757, 6128, 7047, 7547, 1035, 1110, 2365, 3488, 4536, 5771, 6551, 8236, 104, 2118, 2798, 3358, 5129, 6181, 6234, 8266, 1083, 1496, 2832, 3421, 4574, 5789, 6724, 8051, 668, 1116, 2693, 3839, 4852, 5220, 7135, 7386, 692, 1168, 2536, 3611, 4621, 6204, 6640, 7510, 761, 1828, 3069, 3464, 4305, 6217, 6443, 7976, 802, 1771, 2173, 4099, 4742, 6005, 6224, 7360, 150, 1266, 2308, 3897, 5031, 5515, 6592, 7584, 1029, 1294, 2894, 3595, 4994, 5729, 7202, 7800, 386, 1543, 2900, 3388, 4327, 6075, 6850, 7261, 1029, 1469, 2394, 3464, 4717, 5471, 6888, 7538, 504, 1318, 2554, 3176, 4755, 5630, 6953, 8261, 386, 1641, 3119, 3999, 4852, 6035, 7237, 7973, 223, 1670, 2592, 3376, 4311, 6085, 6839, 8033, 473, 1577, 2998, 3602, 5022, 5586, 6620, 7361, 390, 2088, 2797, 4150, 4859, 5305, 7115, 7992, 959, 2079, 2936, 3533, 4700, 5245, 6889, 8054, 955, 1147, 2419, 4143, 5159, 5590, 6953, 7717, 211, 1808, 2453, 3274, 5012, 5810, 6947, 7614, 986, 1782, 3131, 3446, 4340, 5719, 7006, 7279, 487, 1554, 2515, 3576, 5164, 5441, 6756, 7951, 582, 1441, 2132, 3476, 4927, 5478, 7008, 8248, 545, 1862, 2677, 3576, 4321, 5976, 7079, 8178, 986, 2079, 2453, 3727, 4667, 6135, 6383, 7669, 887, 1255, 2311, 3366, 4539, 5500, 7057, 7298, 1090, 1674, 2924, 3162, 4421, 5325, 7100, 8025, 663, 1674, 2751, 3533, 4716, 5836, 6612, 7463, 390, 2053, 2947, 3407, 4881, 5722, 7114, 7383, 1090, 1167, 2401, 3576, 4337, 6221, 6996, 8164, 288, 1550, 2741, 3541, 4872, 6004, 6878, 8066, 488, 1963, 2947, 4170, 5038, 6129, 7207, 7723, 1099, 1933, 3110, 4145, 5058, 5883, 6668, 8147, 475, 1963, 3008, 3866, 4925, 6211, 6709, 8061, 874, 1280, 3000, 3352, 5151, 5285, 6787, 7480, 256, 1684, 3021, 3440, 5083, 5963, 7052, 8126, 105, 1147, 2833, 3886, 5138, 5963, 6688, 8266, 915, 1147, 2970, 3914, 4704, 5963, 7207, 7716, 488, 1998, 2164, 3827, 5080, 6103, 7006, 8260, 488, 1528, 2554, 3825, 5104, 5811, 6794, 8126, 488, 2017, 2914, 3893, 4624, 6139, 7239, 8196, 142, 1528, 2806, 3825, 4704, 6139, 7226, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 3065, 3893, 4624, 6139, 6794, 7766, 488, 1528, 3065, 3893, 4798, 6081, 6794, 8223, 915, 1648, 2806, 3595, 4512, 5635, 6752, 8080, 915, 1147, 2970, 3595, 4583, 5635, 6584, 8196, 915, 1684, 2970, 3595, 4681, 5811, 6996, 8196, 915, 1974, 2833, 3595, 4993, 5515, 6688, 7732, 915, 1528, 3021, 3374, 5138, 5514, 6584, 7723, 555, 1147, 2970, 3595, 4398, 5981, 6338, 8076, 915, 1974, 2806, 3595, 5079, 6139, 6752, 8080, 555, 1648, 2833, 3374, 5138, 5534, 7120, 7865, 555, 1974, 2833, 3595, 4374, 5767, 6688, 7732, 555, 1876, 2970, 3851, 4387, 5219, 6996, 8080, 915, 1684, 3021, 3595, 4877, 5550, 6996, 7715, 555, 1684, 2970, 4166, 5138, 5811, 7124, 7716, 555, 1648, 2858, 3827, 4798, 6163, 7120, 7865, 555, 1876, 2858, 4166, 4387, 5677, 7152, 7715, 4, 2 ]

[ 1, 41, 20, 63, 5, 31, 16, 5, 30, 33, 67, 5, 20, 63, 5, 31, 16, 5, 43, 48, 52, 44, 55, 5, 17, 75, 5, 31, 16, 5, 62, 48, 62, 16, 52, 5, 5, 3, 945, 1528, 3065, 3914, 4798, 6211, 7226, 8147, 797, 1528, 2806, 3825, 4704, 5340, 7077, 7949, 818, 1191, 2164, 3893, 4798, 6081, 7006, 7766, 488, 1381, 2324, 4071, 4265, 5612, 7077, 8196, 789, 1648, 3117, 4006, 4512, 5635, 6604, 7715, 874, 2098, 2409, 3891, 4923, 6147, 6614, 8240, 489, 1945, 2424, 3987, 4882, 5581, 6784, 7887, 1071, 1294, 2743, 4105, 5123, 5840, 6254, 7611, 436, 1227, 2190, 3493, 4422, 6023, 6798, 8140, 646, 1478, 2368, 3343, 4614, 5934, 6893, 7930, 1035, 2124, 2569, 3434, 4422, 5729, 6942, 8111, 761, 1290, 2368, 3284, 5186, 5759, 6614, 8026, 761, 1106, 2764, 3262, 4607, 6030, 6683, 8190, 802, 2050, 2239, 3434, 4803, 5597, 6687, 8234, 117, 1199, 2427, 3868, 4636, 5814, 6716, 8167, 887, 1335, 2892, 3924, 4310, 5594, 7033, 8087, 516, 2063, 2703, 3648, 4539, 6155, 6546, 7560, 901, 1796, 2826, 4060, 4489, 5823, 6932, 7873, 309, 2088, 2389, 3773, 4863, 5538, 7246, 7397, 761, 1157, 2998, 3648, 5081, 6156, 6414, 7826, 612, 1948, 2667, 3448, 5029, 6135, 6414, 7660, 800, 1828, 2881, 3600, 4364, 5656, 6904, 8065, 141, 1826, 2495, 3416, 4943, 5991, 7142, 7924, 1060, 1826, 3001, 3238, 5114, 6130, 6998, 7894, 986, 1283, 2568, 3485, 5174, 5313, 6247, 8100, 308, 1241, 2943, 3662, 4533, 6000, 6592, 7717, 211, 1771, 2282, 3812, 5183, 5543, 7085, 7602, 211, 1620, 2693, 3983, 5135, 5661, 6566, 8103, 288, 1963, 2783, 3426, 4529, 6205, 7111, 7838, 512, 1945, 2803, 3796, 4215, 5294, 7201, 7831, 308, 1508, 2947, 4145, 4822, 5968, 6709, 7485, 804, 2046, 3043, 3516, 5079, 5385, 7239, 8237, 756, 1964, 3144, 3338, 4292, 5678, 6755, 8126, 374, 1794, 2761, 3562, 5081, 5474, 7104, 7913, 761, 2081, 2725, 3304, 4224, 5344, 6310, 7920, 737, 2004, 2725, 3910, 5123, 5970, 6999, 7869, 493, 2034, 2649, 3576, 5031, 5558, 6650, 7549, 349, 1286, 2247, 3576, 4701, 5706, 6304, 8034, 1034, 1185, 2940, 3272, 4929, 5997, 6747, 7757, 584, 1385, 2585, 3615, 4540, 6119, 6371, 7438, 1050, 1776, 2683, 3940, 5036, 5287, 6701, 7855, 161, 1637, 2674, 3439, 4482, 6184, 6324, 8030, 856, 1960, 3125, 3495, 4327, 5225, 6225, 7881, 1006, 1960, 2562, 4037, 4541, 5986, 6252, 7831, 1064, 1679, 2579, 4037, 4959, 6034, 6930, 8199, 288, 1233, 3135, 4028, 4916, 5297, 7023, 8061, 256, 1649, 2936, 3681, 4717, 5386, 7182, 8135, 256, 1452, 2675, 3413, 4877, 5590, 7004, 8126, 440, 1968, 2468, 3206, 4555, 5616, 6657, 7438, 256, 1309, 2468, 3413, 5157, 5957, 6235, 8209, 878, 1664, 2792, 4115, 4863, 6062, 7221, 7796, 256, 1597, 2781, 3374, 4877, 5385, 7132, 7557, 256, 2111, 2729, 3374, 4855, 5650, 7023, 8185, 256, 2097, 2775, 4113, 4888, 5500, 6909, 7311, 256, 2106, 2746, 3803, 4536, 5705, 6579, 7915, 617, 2065, 2473, 3681, 4622, 5223, 7098, 7485, 789, 2106, 2959, 4006, 4536, 6137, 6688, 7303, 256, 2111, 2729, 3827, 4512, 5650, 6579, 7720, 256, 2111, 2729, 3420, 5138, 5548, 7047, 7549, 256, 2111, 2729, 3188, 5061, 5223, 6716, 8126, 256, 1851, 2729, 3361, 4782, 6182, 6909, 8266, 617, 2111, 2669, 3994, 4859, 5825, 7103, 8266, 105, 2065, 2880, 3891, 4782, 5630, 7239, 7252, 105, 1496, 3021, 3470, 4859, 5241, 6688, 8132, 860, 2017, 3117, 3891, 4287, 6211, 7077, 8147, 860, 2017, 2806, 3825, 4704, 6139, 7124, 8147, 201, 1528, 2806, 3825, 4624, 6139, 6794, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 2914, 3893, 4624, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 915, 2017, 3065, 3893, 4398, 5241, 6794, 8196, 211, 1851, 2880, 4108, 5058, 6087, 6996, 7591, 716, 1693, 2690, 3757, 5039, 6019, 6981, 7408, 1035, 2019, 2861, 3602, 4568, 6222, 7085, 7256, 1035, 1290, 3146, 4078, 4592, 5613, 6309, 7753, 277, 2048, 2653, 3991, 4310, 5710, 6525, 7857, 277, 1938, 2231, 3478, 4206, 6095, 7126, 8268, 277, 1938, 2209, 3637, 4976, 6190, 6998, 7250, 277, 1469, 2798, 4110, 4794, 6174, 6611, 7408, 150, 2048, 2423, 4047, 4728, 5405, 6735, 7905, 756, 1275, 2348, 3378, 4546, 5836, 6953, 7480, 756, 1265, 2154, 3783, 5166, 5378, 7201, 7718, 684, 1304, 3143, 3983, 5127, 5981, 7127, 7428, 756, 1804, 3092, 3662, 4619, 5911, 6255, 7664, 987, 1523, 2709, 3904, 4586, 6141, 6768, 7398, 547, 1315, 2633, 3245, 5153, 5579, 7227, 8203, 862, 1346, 2461, 3380, 5005, 5914, 6901, 7849, 653, 1938, 3006, 3972, 4887, 6172, 7154, 7781, 1088, 1992, 2239, 3403, 4421, 6000, 6351, 8061, 216, 1185, 2801, 3521, 4757, 6119, 7129, 7531, 401, 1388, 2740, 3908, 5187, 5549, 6476, 8081, 512, 1519, 2946, 4153, 4225, 5927, 7047, 7297, 105, 1523, 2946, 4166, 4387, 5746, 7049, 7876, 105, 1623, 2542, 4006, 5061, 5832, 7023, 8236, 105, 1623, 3008, 3188, 4762, 5677, 6515, 7664, 105, 2111, 3109, 3645, 5038, 6205, 7120, 8260, 105, 2000, 2730, 3771, 5159, 6051, 6504, 8080, 571, 1281, 2960, 4113, 4700, 5219, 6589, 8248, 408, 1637, 2163, 3413, 4762, 5586, 6802, 8126, 856, 1633, 2830, 3543, 4954, 5318, 6760, 7973, 613, 1269, 2292, 4015, 4777, 6118, 6642, 7936, 448, 1692, 2944, 4015, 5022, 6022, 7099, 8061, 216, 1269, 2422, 3975, 4362, 5788, 6592, 7772, 1035, 1458, 2750, 4137, 4364, 6218, 6291, 7816, 1035, 1924, 2750, 4137, 4853, 5441, 6343, 7846, 1035, 1782, 2795, 3238, 5120, 5389, 6772, 7627, 1035, 1782, 2795, 4106, 4818, 5250, 6871, 7878, 986, 1567, 2419, 3356, 5164, 5768, 6566, 8154, 547, 2118, 2814, 3421, 4887, 5589, 6478, 8132, 569, 1415, 3040, 3479, 4802, 5390, 6367, 8266, 1011, 2125, 2173, 3602, 4354, 5441, 6619, 8103, 938, 1440, 2456, 4171, 4890, 5413, 6613, 7657, 390, 1683, 2173, 3963, 4337, 5811, 7084, 8266, 1081, 1399, 2173, 3430, 4536, 5315, 6708, 7516, 678, 1797, 2598, 3901, 4323, 6120, 7053, 7584, 857, 1139, 2988, 3440, 5061, 5641, 6749, 7570, 995, 1510, 2357, 4037, 5149, 5486, 7004, 8085, 806, 1332, 2453, 3225, 4598, 6204, 6649, 7605, 918, 1782, 2355, 3261, 4279, 5616, 6536, 7683, 981, 1112, 2453, 3807, 4455, 5350, 6354, 7462, 643, 1112, 2992, 3363, 4338, 5569, 7087, 8006, 1029, 1112, 2304, 4037, 4651, 5606, 6663, 8058, 995, 1653, 2335, 3373, 4531, 5504, 6811, 7896, 487, 1653, 2309, 3792, 4533, 5334, 7220, 7658, 1024, 1550, 2355, 3208, 4214, 5824, 7014, 7873, 678, 1550, 2791, 3214, 4218, 5809, 6840, 7284, 678, 1164, 2593, 3656, 4981, 6221, 6663, 8268, 940, 1579, 2440, 3445, 4555, 6070, 6811, 8061, 610, 1989, 2440, 3390, 4746, 5613, 7198, 7930, 504, 1758, 2136, 3167, 4760, 5734, 6254, 7542, 678, 1943, 2440, 4145, 4467, 6040, 6883, 8141, 678, 1238, 2440, 3206, 4368, 5648, 6716, 8061, 1011, 1577, 2552, 3965, 4934, 5695, 6426, 7799, 750, 1178, 2440, 4041, 4848, 6128, 6498, 8108, 825, 1164, 2588, 3764, 4831, 5942, 6265, 7605, 504, 1653, 2396, 3566, 4897, 5884, 6609, 8077, 980, 1707, 2932, 3596, 4629, 5893, 6525, 7386, 804, 1695, 2936, 3595, 4533, 5981, 6740, 8266, 956, 2068, 2949, 3914, 4888, 5241, 6810, 7865, 488, 1191, 2806, 3866, 4704, 6103, 7201, 8196, 213, 2017, 3007, 3886, 4366, 6211, 6996, 8237, 859, 1974, 2833, 3891, 4681, 5963, 7006, 8147, 186, 1332, 3021, 4071, 4624, 5901, 6996, 7766, 186, 2032, 3143, 3891, 4798, 5635, 7077, 8147, 488, 1622, 2806, 3367, 5060, 5635, 7124, 7485, 956, 1191, 2880, 4170, 5038, 5635, 6988, 8196, 1097, 1381, 2949, 4166, 4798, 5612, 6515, 7485, 915, 1381, 2806, 3825, 4624, 5635, 7006, 8237, 475, 2032, 2860, 3932, 4583, 5385, 6604, 7715, 1094, 1773, 2737, 3777, 5138, 5959, 6588, 8061, 459, 1407, 3085, 3486, 4231, 6021, 6262, 8041, 802, 2083, 2373, 3249, 4379, 6096, 6942, 7564, 650, 1660, 3040, 3713, 4282, 5923, 6870, 7545, 160, 1183, 2273, 3632, 4803, 5624, 6550, 7263, 1071, 1873, 2887, 4166, 4908, 5649, 6612, 8016, 752, 1881, 2880, 4067, 4828, 5515, 6401, 7469, 1037, 1906, 3110, 3533, 4867, 6182, 7100, 7476, 715, 1745, 2709, 3233, 4567, 5943, 7007, 8252, 891, 1649, 2720, 3370, 4991, 5610, 6720, 7481, 390, 1724, 3064, 4011, 5083, 5883, 6426, 7816, 1071, 1851, 2232, 4113, 5022, 6103, 6830, 7711, 613, 1989, 2473, 3649, 5095, 5689, 6965, 7298, 459, 2009, 2988, 4166, 4378, 5216, 6884, 7930, 386, 1305, 2248, 4151, 5008, 5313, 6954, 7378, 665, 1503, 2129, 3416, 4887, 5907, 6478, 7868, 223, 1402, 2748, 3356, 4969, 5908, 6724, 8247, 684, 1660, 2869, 4067, 4925, 5730, 6982, 8229, 956, 1943, 2803, 3886, 5129, 5694, 6331, 8185, 1099, 1845, 3128, 3440, 4265, 6051, 7077, 7887, 1097, 1620, 2996, 3982, 4912, 5705, 7058, 7876, 1097, 2017, 3007, 3645, 4782, 5630, 7239, 7949, 956, 2068, 2838, 3516, 4630, 5241, 7077, 7557, 956, 1869, 2991, 4108, 4867, 5340, 6515, 7485, 956, 2017, 3043, 3886, 4366, 5630, 6515, 7782, 865, 1965, 2709, 3657, 4651, 6058, 6749, 8073, 757, 1927, 2792, 4068, 4954, 5276, 6291, 7931, 390, 1206, 2432, 4068, 4470, 5695, 6889, 8093, 166, 1935, 2638, 3576, 5119, 5584, 6933, 8249, 545, 1265, 3118, 3602, 5127, 6119, 6989, 7902, 545, 1831, 2422, 3366, 5018, 5485, 7129, 8045, 545, 1350, 2453, 3498, 4736, 5981, 6719, 7318, 715, 1994, 3118, 3832, 4238, 6119, 6764, 8219, 955, 1685, 2542, 3541, 4268, 6135, 6893, 8259, 211, 1218, 2396, 3575, 5083, 5413, 6844, 7531, 512, 2005, 3043, 3914, 5115, 5694, 7201, 7838, 804, 1540, 2957, 3873, 4782, 5678, 7095, 7782, 818, 2046, 3043, 4170, 4704, 6129, 6709, 7723, 475, 1304, 2833, 3904, 5038, 5493, 6443, 7476, 579, 1648, 2775, 4113, 5104, 5576, 6741, 8064, 1099, 1467, 3110, 4171, 5159, 5832, 6889, 7715, 419, 1833, 2781, 4071, 5061, 5550, 6840, 7715, 899, 1467, 3143, 4171, 4555, 6149, 6776, 7865, 650, 1914, 2780, 3948, 4571, 6220, 6892, 7887, 1024, 2035, 2203, 4147, 4461, 5815, 6404, 7666, 970, 1943, 2985, 4067, 4698, 5606, 6518, 7691, 1035, 1270, 2638, 3343, 4325, 5590, 6850, 7908, 641, 1913, 3078, 4085, 5084, 5499, 6291, 7626, 678, 1468, 2498, 3681, 4809, 5268, 6677, 7387, 643, 1449, 2894, 3514, 5010, 5299, 7115, 7985, 970, 1641, 2894, 3811, 4964, 5702, 6377, 7397, 1035, 1469, 2800, 4059, 5096, 5211, 6680, 7966, 386, 1916, 2345, 4119, 4916, 5631, 6918, 8037, 643, 1524, 3108, 4135, 4843, 6179, 6453, 7963, 504, 1218, 3108, 3366, 4999, 5378, 6304, 8150, 678, 1743, 2858, 4113, 4238, 5794, 7241, 7811, 1035, 1849, 2541, 4056, 5031, 5391, 6689, 7648, 891, 1779, 2446, 3413, 4646, 6017, 7043, 7508, 709, 1833, 3064, 3866, 4589, 5515, 7103, 8157, 1099, 1963, 2781, 4171, 4589, 5705, 7201, 8195, 818, 1847, 2925, 4171, 4980, 5241, 7084, 7723, 818, 2017, 2781, 4114, 4704, 5630, 6979, 7949, 818, 1622, 2991, 4071, 4888, 5705, 7006, 8260, 818, 2068, 2914, 3893, 5061, 5705, 7239, 8147, 488, 1622, 2914, 3825, 5080, 6139, 7201, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4798, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 51, 69, 30, 5, 43, 11, 63, 30, 52, 47, 5, 76, 39, 66, 5, 41, 20, 63, 5, 43, 35, 5, 66, 73, 5, 42, 45, 75, 5, 31, 33, 53, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 3065, 3825, 4624, 5635, 7124, 8196, 475, 2111, 2473, 4166, 4555, 5678, 6979, 8261, 878, 1375, 2950, 3595, 4179, 6163, 7090, 7318, 769, 1283, 2757, 3905, 4195, 6086, 6497, 7976, 926, 1115, 2751, 3443, 4543, 5716, 7135, 7946, 795, 1397, 2580, 3943, 4734, 5408, 6608, 7951, 487, 1284, 2379, 3635, 4766, 5347, 7223, 7360, 807, 2093, 2797, 3394, 5045, 5656, 6650, 7547, 641, 1676, 3039, 3316, 4259, 5325, 6684, 7535, 778, 1931, 2314, 4096, 4686, 5843, 6965, 7927, 955, 1821, 2994, 3740, 4780, 5350, 7098, 7476, 1081, 2079, 2167, 3937, 4530, 5479, 6564, 8251, 171, 1918, 2886, 3970, 4861, 5436, 7104, 7927, 510, 1791, 2365, 3391, 4536, 5590, 7163, 7488, 935, 1623, 3095, 4114, 4870, 5705, 7168, 8066, 712, 1176, 2398, 3809, 4914, 5704, 7020, 7522, 579, 1992, 2293, 3838, 4459, 5216, 6622, 8013, 115, 1333, 2429, 3792, 4538, 5461, 6732, 8178, 271, 1956, 2529, 3704, 5001, 5889, 7035, 7995, 672, 1682, 2706, 3926, 4427, 5269, 7175, 7288, 672, 1167, 2310, 3599, 4621, 5313, 6442, 7686, 936, 1826, 2400, 3714, 5062, 5733, 6704, 7441, 403, 1489, 2543, 3617, 4503, 6058, 6706, 7741, 857, 1369, 2953, 4089, 4351, 6166, 6705, 7336, 874, 1349, 2595, 3577, 4521, 5723, 6547, 8129, 217, 2121, 2987, 3562, 4210, 6101, 6986, 7978, 820, 1601, 2293, 3605, 4652, 5827, 6478, 7277, 217, 1865, 2506, 3575, 4344, 5796, 6630, 7962, 572, 1828, 2212, 3937, 4956, 5689, 7110, 7536, 815, 1326, 2887, 3576, 4747, 5811, 6548, 7536, 410, 1582, 2260, 3576, 4694, 6090, 7097, 7442, 115, 1582, 2593, 3412, 4829, 5610, 6978, 7545, 113, 1582, 2848, 3701, 4406, 6083, 6947, 7800, 546, 1706, 2195, 3950, 4364, 5729, 6886, 7478, 389, 1800, 2951, 3392, 4539, 5470, 6603, 8201, 1067, 1843, 2173, 3421, 4960, 5421, 6457, 7859, 900, 1499, 2261, 3793, 4314, 5408, 6700, 7545, 339, 2036, 2751, 3721, 5124, 5964, 6780, 7963, 900, 1850, 2661, 3605, 5084, 5341, 6595, 8089, 113, 1685, 2807, 3778, 4938, 6066, 6583, 7905, 803, 1141, 2470, 3342, 4205, 5961, 6251, 7869, 895, 1865, 2905, 3221, 4745, 5810, 6225, 7577, 678, 1865, 2149, 3530, 4335, 5499, 6765, 7957, 1056, 1972, 3149, 4115, 4720, 6175, 6630, 7508, 211, 1972, 2834, 4145, 5145, 5761, 6918, 8085, 951, 1280, 3098, 3352, 5145, 5419, 6760, 8107, 951, 1850, 2716, 4145, 5000, 6085, 7023, 7908, 988, 1227, 3075, 3646, 5085, 5854, 6627, 7255, 536, 1596, 2239, 3321, 5023, 5270, 6670, 8048, 150, 1509, 2401, 3648, 4191, 6204, 6292, 7908, 535, 1971, 2953, 3504, 4805, 6148, 6595, 7894, 884, 1494, 2271, 3443, 5135, 5980, 7169, 8205, 807, 1494, 2725, 3307, 4351, 5695, 6224, 8109, 986, 1397, 2978, 3268, 5011, 5730, 7028, 7877, 487, 1561, 2798, 3476, 4654, 5793, 6663, 7369, 1025, 1918, 2565, 3307, 4845, 5341, 6894, 7841, 1025, 1773, 2436, 3564, 4261, 5957, 6830, 7476, 1025, 1773, 2661, 3975, 5079, 5220, 6884, 8121, 1025, 1318, 2232, 3928, 4570, 6070, 6891, 7822, 1025, 1773, 2431, 3873, 4713, 5543, 7047, 7440, 776, 1915, 3061, 3240, 4573, 5613, 6938, 8222, 424, 1540, 3109, 3743, 4782, 6051, 7132, 8185, 1005, 1660, 2586, 4097, 5104, 5231, 6791, 7819, 778, 1873, 2459, 3226, 4543, 6175, 6633, 8266, 344, 2036, 2894, 3667, 5198, 5422, 7207, 7768, 137, 1808, 2436, 3268, 4469, 5812, 6965, 7691, 876, 2059, 2533, 3874, 4954, 5602, 6277, 7921, 487, 1283, 2258, 3324, 4571, 6119, 6841, 8139, 807, 1118, 2566, 3613, 5040, 5714, 6856, 7786, 582, 1834, 2336, 3770, 4744, 5706, 6856, 7724, 691, 1550, 2480, 3327, 4913, 5387, 6849, 7954, 610, 1834, 3029, 3909, 5157, 6010, 6820, 7383, 956, 1876, 3006, 3886, 4619, 5904, 6786, 7876, 356, 1867, 2775, 3904, 4592, 6068, 7098, 8227, 513, 1796, 3007, 4011, 4881, 5963, 6525, 7873, 541, 2093, 2562, 3853, 5138, 5204, 7096, 7500, 256, 1175, 2729, 3566, 5169, 5580, 6589, 7806, 489, 2060, 3092, 3749, 4983, 5352, 6719, 8036, 440, 1736, 2468, 4113, 5145, 5640, 6998, 7476, 256, 1452, 2992, 3771, 4780, 5536, 6884, 7524, 1062, 1490, 2886, 3671, 4890, 5475, 6840, 7500, 1033, 1499, 2708, 3803, 4573, 6063, 6758, 7290, 840, 1478, 2491, 3649, 5040, 6067, 6513, 7954, 991, 1582, 2940, 4044, 5110, 5641, 6651, 7288, 113, 1865, 2737, 3630, 4548, 6083, 6947, 7942, 759, 1145, 2741, 3423, 5040, 6086, 6254, 8095, 160, 2094, 2564, 3901, 4429, 5433, 6442, 7904, 857, 1758, 2547, 3771, 4780, 5811, 6953, 7899, 759, 1562, 2940, 4103, 5073, 6086, 7199, 7465, 1049, 1507, 2797, 4103, 4589, 6148, 6426, 7549, 1062, 1139, 2998, 4064, 4678, 5489, 6740, 7973, 113, 1455, 2692, 3672, 4855, 5441, 7190, 7256, 1080, 1758, 3142, 3936, 4582, 6059, 6596, 7645, 635, 1289, 2222, 3585, 4474, 5574, 6679, 8007, 1080, 1732, 2564, 3234, 4500, 5787, 6391, 7652, 547, 1382, 3055, 3660, 4678, 5589, 7102, 7456, 938, 1821, 2440, 3670, 4181, 5530, 7065, 8082, 938, 1510, 3116, 4083, 4725, 5838, 6619, 7299, 617, 1876, 3007, 3528, 4382, 5619, 6696, 7627, 1099, 1171, 2729, 3352, 5106, 5730, 6604, 8066, 308, 1992, 2925, 3962, 4529, 6129, 7084, 7557, 510, 1992, 2880, 3188, 4681, 5219, 6809, 8266, 143, 1289, 2560, 3922, 4782, 5550, 7237, 8260, 874, 1461, 2839, 3967, 4225, 6163, 6380, 7607, 715, 1206, 2487, 3983, 4988, 5574, 6689, 7535, 166, 1411, 2710, 3992, 4489, 5918, 7014, 7451, 249, 1782, 2987, 3610, 4664, 5749, 6578, 8207, 993, 1773, 2487, 3456, 5091, 5308, 6302, 7304, 940, 1809, 2487, 3861, 4423, 5902, 7012, 7878, 308, 1794, 2838, 4027, 5166, 6063, 7084, 7570, 684, 1998, 3064, 4114, 4822, 6205, 6774, 7421, 804, 1791, 3144, 3908, 5165, 5631, 7207, 7485, 308, 1508, 3008, 3886, 4622, 5210, 7084, 7557, 684, 1566, 2783, 3803, 4980, 5832, 7006, 7631, 883, 2025, 2491, 3911, 4809, 5481, 6440, 8030, 545, 1850, 2990, 3550, 4882, 5216, 6291, 7744, 487, 1942, 2397, 3524, 4991, 5492, 6343, 7248, 1043, 1561, 2346, 3936, 4493, 6154, 6674, 7560, 664, 1550, 3029, 3695, 4985, 5753, 6841, 8073, 1019, 1990, 2346, 3522, 4923, 5828, 7219, 8114, 1080, 1283, 2847, 3417, 4259, 6002, 6592, 7936, 913, 1209, 2607, 3575, 4690, 6059, 7232, 8132, 678, 2059, 2470, 3662, 4911, 6181, 7087, 8253, 804, 1566, 2582, 4115, 4622, 6182, 7157, 8015, 427, 1265, 2473, 3253, 5183, 6073, 7120, 7887, 390, 1265, 2803, 4113, 5106, 5513, 7004, 8236, 756, 2025, 2672, 3770, 4627, 5953, 6757, 7557, 804, 1933, 2542, 3982, 4737, 6007, 7230, 7677, 756, 1773, 2944, 4085, 5090, 5694, 7152, 7262, 1037, 1847, 2293, 4143, 5079, 5761, 7160, 8005, 970, 1490, 2346, 3541, 4912, 5610, 6254, 8214, 996, 2059, 2133, 3896, 5144, 5768, 7094, 8028, 862, 2059, 3070, 3896, 4586, 5648, 6917, 8030, 407, 1557, 2346, 4154, 4321, 6077, 6640, 7379, 265, 1369, 2346, 3603, 4836, 5480, 6978, 7397, 1080, 1555, 2212, 3417, 4364, 5653, 6753, 8270, 575, 1865, 2582, 3410, 5187, 5999, 7004, 7536, 1056, 1407, 2946, 3488, 5000, 5663, 6830, 8031, 390, 1485, 2436, 3390, 4588, 5216, 7114, 7641, 678, 1141, 2924, 4150, 4895, 5968, 7207, 8076, 424, 1948, 2498, 3928, 5020, 5565, 7010, 8270, 1081, 1138, 2429, 3352, 4426, 5586, 7114, 7816, 663, 1489, 2661, 3810, 5020, 5978, 6884, 7716, 779, 1146, 2946, 4145, 4592, 5204, 7023, 8260, 1099, 1963, 2946, 3188, 5166, 6085, 6988, 7720, 288, 2041, 3064, 4145, 4630, 6195, 7157, 7887, 956, 1963, 2947, 3516, 4888, 6129, 7207, 7876, 1097, 1467, 3022, 4166, 4980, 5241, 6972, 7766, 488, 2017, 3110, 4108, 4888, 6139, 7226, 8260, 488, 2017, 2914, 3893, 4624, 6139, 7201, 8147, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8147, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 45, 54, 30, 16, 51, 40, 66, 44, 55, 5, 31, 16, 5, 51, 14, 28, 16, 54, 16, 66, 5, 17, 75, 5, 28, 11, 66, 16, 52, 78, 5, 5, 3, 945, 1528, 2806, 3914, 4704, 6211, 6589, 8147, 488, 2017, 2806, 3825, 4704, 6139, 7124, 8147, 419, 1851, 3021, 3893, 4877, 5241, 6604, 7715, 256, 1112, 2466, 3648, 5159, 5624, 7100, 7715, 756, 1112, 2771, 3623, 4819, 5548, 6889, 8028, 897, 1695, 2859, 4003, 4539, 5703, 6913, 7869, 897, 1695, 2951, 3537, 5010, 6117, 7067, 7869, 459, 1708, 2951, 4144, 4247, 5837, 7227, 7957, 1035, 2024, 2436, 3994, 4945, 6004, 7052, 7463, 831, 1335, 2292, 3793, 4191, 5307, 6639, 7305, 1066, 1676, 2990, 3233, 4872, 6218, 7143, 8045, 424, 1944, 2970, 3282, 4855, 5749, 6254, 7582, 663, 1992, 2429, 3789, 4782, 5719, 6584, 8245, 1056, 1399, 2340, 3253, 4269, 6175, 7207, 8066, 421, 1695, 2622, 3966, 4454, 6181, 6905, 7547, 807, 2052, 2487, 3540, 4724, 5656, 6871, 7881, 986, 1112, 2346, 3792, 4371, 5366, 6453, 7852, 1079, 1550, 2593, 3994, 4619, 6171, 6854, 7919, 1097, 1981, 3064, 4145, 4888, 5705, 6752, 8061, 510, 2000, 3021, 3188, 4619, 5678, 6613, 7574, 617, 1320, 2746, 3803, 4225, 5761, 6235, 8179, 489, 2063, 2156, 3183, 4762, 5450, 6612, 8085, 541, 1674, 3053, 3694, 5135, 5991, 6382, 7473, 256, 1633, 2801, 3592, 4859, 5873, 7103, 8076, 825, 1550, 2669, 4003, 4444, 5599, 6698, 7726, 616, 1118, 2610, 3273, 4800, 5810, 6678, 7277, 545, 1742, 2400, 4137, 4688, 5585, 6235, 8117, 886, 1244, 2187, 3394, 4321, 5734, 6434, 7688, 806, 1112, 2309, 3967, 4251, 5818, 7160, 7959, 487, 2067, 2951, 3436, 5151, 5755, 6614, 8227, 545, 1956, 2951, 3394, 4539, 5579, 7038, 8253, 356, 1943, 2316, 3924, 4939, 5579, 6296, 7494, 1056, 1623, 2798, 3819, 5079, 6010, 6649, 8209, 715, 1460, 2895, 3488, 4486, 5792, 6776, 8262, 1071, 1808, 2925, 3995, 5031, 5719, 6607, 7868, 487, 1428, 2542, 3968, 5031, 6179, 6528, 7900, 487, 1669, 3091, 3924, 4278, 5837, 6865, 7924, 545, 2036, 2593, 4139, 4882, 5734, 6976, 7737, 850, 1550, 2567, 3937, 4421, 5408, 6313, 7902, 569, 1550, 2584, 3522, 4335, 5474, 7043, 7973, 887, 1944, 2593, 3363, 4972, 5929, 6254, 8187, 1025, 1747, 2210, 3306, 4351, 5344, 6476, 8267, 1035, 1581, 2436, 3464, 4981, 5713, 6595, 7329, 1090, 2095, 2436, 3183, 4533, 5765, 6281, 7260, 390, 1455, 2729, 3352, 4912, 6026, 7207, 8260, 512, 1992, 3008, 3671, 4872, 5573, 7207, 7515, 308, 2046, 2989, 3932, 5061, 6205, 6830, 7949, 804, 1581, 2803, 4135, 4536, 5832, 7237, 8267, 115, 1736, 2704, 3616, 4935, 5950, 6354, 7962, 988, 1555, 3130, 3981, 4953, 6165, 7229, 7559, 893, 1516, 2953, 4072, 4818, 5843, 6900, 7856, 646, 1826, 2584, 3552, 4364, 5783, 6440, 8009, 955, 1826, 2456, 4151, 4218, 5351, 6895, 7445, 1099, 1700, 2803, 3955, 5058, 6211, 7111, 7948, 1099, 2000, 3135, 3914, 4287, 5661, 7111, 7717, 510, 2111, 3006, 3909, 5098, 5678, 7149, 8066, 818, 1705, 3117, 4071, 5106, 5883, 7132, 7766, 818, 1705, 2838, 4071, 4630, 6139, 7084, 7766, 818, 1528, 2957, 4071, 4822, 5635, 7201, 8260, 935, 1620, 2991, 3866, 4630, 6195, 6709, 8185, 742, 1286, 2227, 3795, 4364, 5493, 6968, 8236, 500, 1623, 2165, 4005, 5138, 6144, 6517, 7389, 105, 1623, 3021, 3681, 5138, 5963, 7063, 8188, 356, 1876, 2453, 3681, 4822, 5296, 7100, 7563, 1102, 2034, 2453, 3885, 4985, 5590, 7100, 7732, 223, 1570, 2355, 3945, 4828, 5212, 6605, 8070, 1062, 1421, 2453, 3570, 4386, 6055, 7141, 7291, 893, 1719, 2593, 3785, 4758, 5856, 6408, 7717, 319, 1719, 2593, 3639, 4687, 5701, 6747, 7628, 319, 1125, 2466, 4003, 5057, 5362, 6913, 7673, 569, 1843, 2593, 3394, 4833, 5308, 6538, 8058, 319, 1934, 2178, 3259, 5148, 5797, 6885, 7304, 955, 2057, 2780, 3994, 4374, 5393, 6509, 7448, 684, 1660, 2771, 3430, 5053, 5978, 6588, 7631, 390, 2046, 2586, 3901, 5125, 6128, 6708, 7918, 955, 2063, 2429, 3917, 4782, 5890, 6755, 7948, 211, 1919, 2868, 3987, 4191, 5968, 6702, 7481, 304, 1825, 3053, 3909, 4935, 5865, 7111, 8236, 160, 1671, 2924, 3182, 4991, 5216, 7002, 7962, 160, 2053, 2709, 4078, 5096, 5761, 7152, 7480, 1071, 1635, 3101, 3992, 4918, 6128, 7111, 7878, 807, 1989, 2856, 3191, 4457, 6017, 7049, 7535, 487, 1887, 3097, 3992, 4364, 5745, 6793, 7862, 986, 1924, 3052, 3967, 4359, 5874, 6611, 7586, 986, 2002, 2797, 4015, 4631, 5706, 6525, 8232, 545, 1635, 2156, 3468, 4949, 5212, 6820, 8197, 641, 1623, 2987, 3421, 4946, 5715, 6614, 7913, 390, 1490, 2156, 4074, 5053, 5641, 6593, 7605, 103, 1139, 3150, 3771, 4808, 5223, 6588, 7776, 614, 1510, 3095, 3511, 5192, 5918, 6723, 7250, 1029, 2059, 2591, 3219, 4385, 5226, 7004, 7451, 893, 1682, 2593, 3759, 4350, 5713, 6774, 7584, 1022, 1898, 2975, 3395, 4807, 5509, 6889, 7473, 955, 2088, 3143, 3931, 4398, 6129, 6563, 7482, 211, 1620, 2860, 4114, 4792, 5385, 7002, 7703, 804, 1791, 2947, 3918, 5038, 5534, 6996, 7421, 512, 2063, 2960, 3803, 4366, 6182, 7168, 7723, 779, 1467, 3064, 3945, 5038, 6195, 6709, 7806, 914, 1945, 2980, 3226, 5183, 6051, 6988, 7949, 308, 1218, 2947, 4114, 4980, 5635, 6988, 7485, 804, 2125, 3110, 3945, 4551, 6205, 7084, 8147, 211, 2079, 3043, 4011, 4822, 6146, 6996, 7723, 582, 1817, 2381, 4151, 4433, 5788, 6864, 8126, 569, 1943, 2653, 3735, 4276, 5754, 6998, 8029, 569, 1432, 3011, 4046, 4667, 6020, 6279, 7577, 1040, 1469, 3123, 4167, 4982, 5979, 6644, 7416, 810, 1469, 2559, 3727, 4404, 6111, 7247, 7986, 459, 1926, 2452, 3380, 5031, 5739, 6678, 7290, 508, 1486, 2924, 3743, 5031, 5325, 6888, 7892, 641, 1983, 2845, 3811, 4319, 5964, 6409, 7571, 844, 1873, 2895, 4164, 5050, 5534, 6583, 7859, 955, 1668, 2409, 3916, 4329, 5978, 7227, 7503, 804, 1620, 2834, 3352, 4923, 5288, 6740, 8262, 935, 1467, 3007, 4071, 5053, 6025, 6988, 7723, 1056, 1705, 2860, 4011, 4713, 6182, 7023, 7906, 757, 1684, 3026, 3982, 4727, 5918, 6898, 8009, 617, 1843, 3030, 3770, 4791, 6205, 6841, 7643, 617, 1623, 2163, 4113, 5160, 5832, 6749, 8050, 304, 1508, 3108, 3990, 4782, 6063, 6302, 8061, 216, 1939, 2754, 3846, 4457, 5305, 6338, 8262, 1090, 1335, 2965, 3343, 5152, 6120, 7095, 8252, 160, 1120, 2175, 3681, 5115, 6086, 6734, 7931, 390, 2032, 2356, 3666, 4897, 5344, 7132, 7703, 1035, 1633, 3046, 4085, 4985, 6189, 6630, 8061, 970, 1275, 3074, 4145, 4765, 5419, 6799, 7911, 641, 1674, 2697, 3401, 4461, 6117, 6692, 7691, 424, 1660, 3074, 3200, 5083, 5469, 7099, 7725, 390, 1177, 3090, 3975, 4274, 6083, 6466, 7863, 1035, 1621, 2966, 3974, 4214, 5828, 6787, 8014, 1011, 1674, 2974, 4126, 4507, 5773, 6735, 8212, 1016, 1335, 2175, 3986, 5139, 5575, 6408, 8140, 448, 1222, 2944, 3986, 4812, 5408, 6608, 8177, 160, 2067, 2175, 3748, 4686, 5500, 7037, 7954, 115, 1700, 2667, 3314, 4942, 5767, 6881, 7806, 115, 1141, 2975, 3842, 5023, 6106, 7020, 7890, 440, 1183, 2436, 3396, 4954, 6033, 7133, 8046, 228, 1202, 2163, 3671, 5040, 6128, 6734, 8126, 518, 1596, 3144, 3374, 5125, 6149, 7006, 7612, 518, 1596, 3144, 3535, 4594, 6103, 7038, 7732, 225, 1998, 2473, 3723, 5135, 6120, 6607, 8266, 568, 1468, 2984, 4150, 4681, 5515, 6491, 7753, 859, 2111, 2554, 3470, 4549, 5216, 7239, 7664, 818, 2017, 3095, 4011, 4877, 5844, 6752, 7865, 915, 1961, 3135, 3914, 4704, 5901, 6671, 7865, 915, 2017, 3065, 3825, 4704, 5705, 7069, 7865, 555, 1648, 3065, 3827, 4622, 5677, 7090, 8196, 859, 1695, 3133, 4006, 4549, 6205, 6579, 8126, 617, 1750, 2970, 3711, 5138, 5935, 6840, 8236, 4, 2 ]

[ 1, 31, 39, 5, 33, 54, 66, 35, 30, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1528, 3065, 4018, 4551, 5635, 6794, 8196, 952, 2065, 2703, 3700, 4592, 5950, 6349, 7876, 825, 1241, 2951, 4097, 4890, 5778, 6903, 7740, 825, 1139, 2951, 3169, 4818, 5263, 6910, 7891, 399, 1472, 2482, 3770, 5070, 5821, 6917, 7364, 1019, 1561, 2487, 3869, 5069, 5313, 6663, 7997, 881, 1397, 2692, 3172, 4575, 5818, 6971, 7814, 807, 1782, 2692, 3695, 5054, 5810, 7125, 8150, 807, 2059, 2872, 3442, 4351, 5742, 6456, 7376, 807, 2079, 2346, 3300, 4539, 5913, 6905, 8151, 643, 1808, 2783, 3770, 4622, 5653, 6905, 8077, 887, 1280, 2638, 3695, 4297, 5865, 6547, 7508, 914, 1706, 2701, 3564, 4764, 5923, 6901, 7488, 1056, 1871, 2941, 3575, 4971, 5289, 6338, 8179, 859, 1175, 2803, 3994, 4877, 5901, 7100, 7720, 935, 1992, 3021, 3550, 5104, 5210, 7218, 7559, 859, 2000, 2991, 3550, 5080, 5901, 7207, 8080, 453, 1706, 2492, 3857, 4379, 5767, 7220, 7386, 886, 1742, 2502, 3596, 4901, 5686, 7140, 7906, 1103, 1782, 2196, 3770, 4209, 6191, 6386, 7585, 744, 1564, 2532, 3797, 5114, 5224, 7241, 8169, 740, 1564, 3029, 4055, 4208, 5313, 6837, 7529, 565, 1616, 3116, 3752, 4231, 5725, 6610, 7638, 793, 1732, 2732, 3329, 4495, 5970, 6681, 7408, 1040, 1118, 2132, 3540, 4811, 5668, 6343, 7528, 113, 1636, 2555, 4015, 4814, 5285, 6273, 8103, 216, 1657, 2803, 4073, 4604, 5539, 6457, 7914, 1056, 1485, 2750, 3848, 4812, 5641, 7066, 7657, 1079, 1333, 2302, 3909, 4551, 6119, 7129, 7260, 617, 1886, 2988, 3982, 4192, 5968, 6893, 7366, 421, 1597, 2173, 3364, 4411, 5548, 6547, 8135, 568, 1832, 2144, 4161, 4982, 5723, 6749, 8082, 403, 1467, 3075, 4145, 5193, 5868, 6256, 7563, 160, 1510, 2384, 3434, 4224, 5672, 6894, 8262, 1071, 1244, 2345, 4074, 4993, 6145, 6251, 7709, 893, 1510, 2389, 4153, 5031, 5512, 6959, 8023, 492, 1758, 2481, 3265, 4294, 5589, 6932, 7880, 535, 1403, 2142, 3875, 4476, 5444, 6466, 7869, 491, 1710, 2272, 3469, 5031, 5481, 6933, 8194, 862, 1320, 2142, 3383, 4654, 5255, 6529, 8087, 1080, 1202, 2660, 3161, 4827, 6141, 7051, 7740, 803, 1586, 2132, 3232, 4607, 5393, 6470, 7383, 538, 1496, 2268, 4094, 4723, 6145, 6387, 7930, 862, 1496, 2387, 3434, 4321, 6005, 6251, 7617, 113, 1636, 2378, 4073, 4335, 5775, 7051, 8009, 1024, 1472, 2470, 4083, 4784, 5584, 6657, 8050, 373, 1399, 2188, 3256, 4651, 5700, 6263, 7811, 512, 2046, 3098, 4096, 4872, 5643, 6772, 8076, 211, 1989, 2775, 3866, 5145, 5981, 6830, 7908, 779, 1620, 2567, 3771, 4307, 5963, 6338, 7641, 397, 1754, 2818, 3832, 4616, 5550, 6959, 7712, 1090, 1369, 2261, 3298, 4449, 5752, 7162, 7400, 211, 1906, 2238, 4085, 4387, 6007, 6612, 7529, 804, 1804, 2833, 3671, 4555, 6062, 7006, 7715, 915, 1467, 3008, 4114, 4870, 5612, 6251, 8147, 488, 2041, 3135, 3990, 4888, 5241, 7201, 8147, 201, 1528, 3008, 3886, 4704, 6139, 7239, 8185, 488, 2017, 3117, 3367, 4624, 6139, 7124, 7766, 488, 1622, 2806, 3893, 4624, 6139, 7226, 7766, 915, 2111, 2914, 3914, 4798, 5635, 6589, 8080, 915, 2111, 2806, 3893, 4704, 5635, 6794, 8080, 915, 1648, 2839, 3932, 5038, 5219, 6996, 8076, 555, 2111, 3021, 3374, 5159, 6081, 6996, 8126, 4, 2 ]

[ 1, 45, 78, 5, 31, 14, 66, 5, 20, 52, 5, 5, 3, 142, 2017, 3062, 4174, 4512, 6211, 6709, 8147, 915, 2127, 3062, 3914, 4387, 5705, 6515, 7485, 288, 1567, 2803, 4174, 5104, 5678, 6291, 7716, 1029, 1164, 2697, 3908, 4993, 5548, 6852, 8025, 1025, 1570, 2839, 4041, 4638, 6222, 6235, 7899, 881, 1286, 2731, 3885, 5134, 6179, 7207, 8267, 902, 1286, 2476, 4080, 5124, 6192, 6251, 7919, 988, 1510, 2415, 4016, 4981, 5624, 6660, 7627, 1040, 1842, 2315, 3623, 5073, 5324, 7133, 8178, 722, 1516, 2646, 3376, 4983, 5787, 6439, 7574, 962, 1570, 2225, 4117, 4321, 6102, 7222, 8235, 1014, 1340, 2156, 3518, 4811, 5980, 6948, 7718, 824, 1547, 2384, 4143, 5084, 5870, 6840, 7429, 440, 1206, 2754, 4125, 4870, 5914, 6776, 8006, 440, 1804, 2980, 4026, 4676, 6187, 7192, 8061, 256, 1869, 2975, 4074, 4912, 5963, 7010, 7750, 256, 1663, 2341, 3848, 5138, 5901, 6917, 7555, 575, 2083, 2562, 3416, 5160, 5439, 6453, 7965, 386, 2118, 2371, 3444, 4351, 5689, 6426, 8245, 465, 1408, 3040, 3532, 5054, 6069, 6243, 7915, 835, 1117, 2141, 3483, 5075, 6092, 6298, 8012, 1050, 1618, 2186, 3706, 4473, 5669, 7066, 7312, 835, 1339, 2869, 3429, 4517, 5414, 6648, 7678, 261, 1488, 2371, 3685, 5190, 5205, 6426, 8155, 546, 1971, 2844, 3309, 4580, 5496, 6993, 8144, 730, 1348, 2572, 3634, 4674, 5660, 6954, 7321, 242, 1971, 3056, 4156, 4200, 5716, 6444, 8243, 310, 1755, 2380, 3353, 5182, 5653, 6973, 7842, 775, 1971, 2648, 3261, 4193, 5498, 6574, 7907, 1003, 1140, 2322, 3192, 5140, 6109, 6917, 7596, 992, 1668, 2635, 3394, 4800, 6074, 6249, 7827, 779, 2085, 2659, 3669, 4447, 6181, 7017, 7472, 537, 1268, 2918, 3769, 4700, 5550, 6493, 7919, 975, 1545, 2816, 3612, 4439, 6041, 6590, 7776, 997, 1770, 3069, 4137, 4389, 5613, 7198, 7983, 368, 1120, 2309, 4087, 4738, 5593, 7001, 7983, 339, 1469, 2515, 3688, 4672, 5971, 7072, 8165, 917, 1469, 3010, 3205, 4474, 6005, 7192, 7955, 888, 1166, 3029, 4130, 4327, 5337, 6438, 7817, 1008, 1679, 3029, 3479, 4607, 5339, 7039, 7812, 1016, 1226, 2348, 3517, 4364, 5893, 6295, 7722, 1038, 1469, 3146, 3404, 4562, 6107, 7130, 7858, 277, 1387, 2731, 4128, 4323, 5337, 6603, 7576, 271, 2050, 2182, 4134, 4208, 5960, 6426, 7480, 1016, 1728, 2954, 3979, 4205, 5233, 6426, 7598, 531, 1440, 2751, 3667, 4494, 5914, 6375, 7971, 691, 1486, 2693, 3220, 4379, 5512, 6565, 8065, 738, 1135, 2307, 3703, 5152, 5656, 6244, 7721, 873, 2095, 2888, 4009, 4439, 6118, 6565, 7815, 235, 2095, 2774, 3176, 4506, 5511, 6805, 7627, 961, 1984, 2472, 3766, 4865, 5266, 7112, 7863, 235, 1215, 2555, 3390, 4656, 6147, 6448, 7619, 110, 1518, 2508, 3570, 4406, 6070, 6348, 7923, 288, 1913, 2363, 4093, 4994, 6070, 6840, 7492, 935, 2068, 2941, 3231, 4533, 5866, 7103, 7591, 603, 1607, 2373, 3929, 4706, 6199, 7163, 7582, 110, 1280, 2932, 3561, 4426, 5515, 6614, 8027, 110, 1974, 3094, 3895, 5175, 5610, 7100, 7733, 1051, 1747, 2858, 3856, 4872, 5408, 6722, 7687, 684, 2068, 2932, 3803, 5106, 6131, 7018, 8261, 1097, 1508, 2730, 3990, 5080, 6211, 7006, 7720, 818, 2017, 2947, 4041, 4704, 6211, 7111, 7570, 818, 2017, 2781, 3893, 4782, 5901, 7201, 7806, 186, 2017, 3065, 3645, 4624, 6129, 7077, 8260, 818, 1622, 2781, 3893, 4782, 5241, 7201, 8196, 186, 1528, 2746, 3825, 4624, 6139, 7077, 8223, 488, 1528, 2781, 3825, 4624, 5901, 6794, 8147, 488, 1528, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6081, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 28, 17, 66, 5, 31, 39, 5, 43, 14, 30, 5, 54, 11, 66, 5, 53, 33, 66, 5, 64, 45, 54, 64, 5, 31, 16, 5, 66, 63, 14, 50, 16, 30, 47, 5, 5, 3, 488, 2111, 3021, 4174, 4704, 5678, 7098, 7485, 915, 2065, 2164, 3932, 4622, 5635, 6584, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4624, 6186, 7226, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 915, 1622, 2991, 3914, 5080, 5635, 6972, 8260, 1091, 2025, 3043, 3746, 4955, 5873, 7162, 7476, 318, 1407, 2890, 3283, 5040, 5413, 6349, 7578, 553, 1199, 2355, 3992, 4833, 5441, 6565, 7802, 247, 2117, 2474, 3413, 5116, 5742, 6663, 7571, 171, 1178, 2348, 3602, 4403, 5826, 7104, 7290, 818, 2073, 2582, 3848, 4573, 6085, 7111, 8266, 899, 1817, 3098, 3951, 4536, 6146, 7056, 7421, 308, 2000, 2473, 3229, 5139, 5723, 7160, 8245, 440, 1490, 3061, 4026, 4863, 5573, 7114, 7677, 878, 1910, 3144, 3680, 4337, 5333, 6492, 7476, 731, 1736, 2649, 3562, 4267, 5385, 6569, 8185, 314, 2118, 2678, 3918, 4723, 5568, 7129, 7365, 535, 2048, 2487, 3936, 4330, 6119, 6680, 8257, 664, 1125, 2487, 3792, 4664, 6145, 6590, 7442, 995, 1118, 2874, 3994, 4283, 6165, 6628, 7928, 708, 1905, 2751, 3764, 4903, 5745, 6585, 8086, 1037, 2102, 2355, 4106, 4872, 5557, 6938, 7877, 750, 1905, 2419, 3864, 4782, 5840, 7154, 7542, 952, 1455, 2963, 3709, 5160, 5776, 6614, 8028, 319, 1896, 2346, 3845, 4665, 5610, 7107, 7634, 113, 2028, 2692, 3214, 5113, 6101, 6314, 7737, 581, 1849, 2869, 3792, 4985, 5749, 6281, 7997, 723, 1286, 2692, 3421, 4354, 6144, 6917, 8186, 404, 1482, 2692, 4007, 5123, 5273, 6561, 7297, 113, 1154, 2355, 3778, 4935, 6012, 7131, 7946, 1102, 1449, 2629, 3562, 4298, 5472, 7028, 7725, 914, 1218, 2746, 4085, 4181, 5548, 7163, 8078, 804, 2111, 3095, 3803, 4856, 6103, 6996, 7875, 833, 1847, 2863, 4145, 5104, 5622, 6426, 7962, 684, 2057, 3033, 3440, 4980, 5687, 6584, 8093, 1056, 1931, 2582, 3949, 5165, 5500, 6302, 7967, 610, 1238, 3033, 3788, 4538, 5378, 6668, 7721, 663, 1350, 2902, 4078, 5052, 5899, 6988, 7481, 678, 1919, 2582, 3609, 4813, 5438, 6966, 7607, 643, 1878, 2455, 4145, 4670, 6181, 6648, 7856, 1071, 2024, 3080, 3680, 5134, 6201, 6728, 7480, 113, 2066, 3075, 3679, 4805, 5503, 6839, 7470, 612, 1463, 2491, 4140, 5114, 5444, 6354, 7774, 283, 1978, 2570, 4147, 5193, 5302, 6457, 7758, 283, 1776, 2336, 3202, 4444, 5291, 7044, 7273, 100, 1860, 2556, 3600, 4251, 6005, 6360, 7860, 645, 1146, 2170, 4067, 4497, 5410, 6632, 7290, 951, 1867, 2858, 3816, 4554, 5586, 6630, 7865, 1099, 1175, 3135, 3240, 4512, 5834, 6871, 8245, 1099, 1600, 3008, 3240, 5044, 6211, 7111, 7631, 510, 1175, 2991, 3990, 5106, 5968, 7084, 7723, 956, 1620, 3006, 3932, 4782, 6103, 6996, 8179, 818, 1648, 2989, 4171, 5080, 6129, 7132, 8066, 1097, 2046, 3006, 4166, 4551, 5832, 7239, 7876, 1099, 1620, 2957, 4018, 4888, 5241, 6786, 8147, 1099, 2017, 3006, 3226, 4366, 5883, 6709, 8267, 1099, 1175, 3095, 4018, 4630, 5241, 6996, 8185, 304, 1467, 2947, 4068, 5104, 5705, 6709, 8083, 304, 1335, 3098, 3949, 4583, 5694, 6931, 7494, 391, 1881, 2313, 3649, 4919, 5678, 7207, 7666, 1090, 1275, 2429, 3169, 4966, 5641, 6719, 8071, 826, 1141, 2887, 3410, 5116, 5899, 6256, 7386, 104, 1269, 3106, 3271, 4318, 5204, 6603, 7524, 937, 1655, 3001, 4096, 5004, 5573, 7136, 8209, 778, 2053, 2429, 3932, 5129, 6002, 6774, 7313, 104, 1655, 2462, 3788, 4191, 6117, 6574, 8206, 826, 1141, 2798, 3306, 5095, 6187, 7242, 7548, 104, 1655, 2481, 3282, 4665, 6010, 6726, 8128, 664, 1283, 2474, 4101, 5140, 6197, 7143, 7373, 1019, 1388, 2625, 3467, 4675, 5582, 6224, 7590, 862, 1369, 2665, 3214, 4966, 6107, 6512, 7618, 668, 1553, 2549, 3755, 4604, 5821, 6422, 8041, 1036, 2052, 2748, 3570, 4926, 5414, 6308, 7727, 913, 1209, 2789, 3827, 4387, 5573, 6348, 7811, 981, 1871, 3047, 3282, 4644, 5826, 7122, 7835, 356, 1209, 3097, 4115, 4728, 5558, 6900, 8170, 956, 1218, 2833, 3710, 4366, 5824, 6709, 8126, 288, 2046, 3006, 3827, 5159, 5899, 6584, 8076, 555, 1992, 3128, 3188, 5104, 5767, 6794, 7732, 356, 1906, 2988, 3470, 4980, 6205, 6671, 8185, 356, 1752, 2839, 3478, 5138, 5220, 6646, 8160, 859, 1218, 3006, 3751, 5060, 5550, 6584, 8126, 818, 1684, 3135, 4011, 5061, 5963, 7129, 8237, 488, 1620, 2991, 3825, 5038, 5705, 7239, 8260, 818, 1791, 3095, 3803, 4583, 5635, 7006, 8223, 818, 2017, 3135, 3893, 5080, 6139, 6794, 8223, 818, 2017, 3065, 3825, 5038, 6129, 6996, 8223, 488, 1528, 2806, 3893, 4624, 6081, 7201, 7766, 488, 1528, 2914, 3893, 5038, 5241, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7124, 8196, 488, 1622, 2914, 3893, 4624, 6081, 7124, 7766, 818, 1622, 2164, 3866, 4782, 6186, 7239, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1528, 2164, 3893, 4798, 6081, 7124, 8147, 488, 1648, 2914, 3893, 4798, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 2017, 2164, 3893, 4798, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 543, 1332, 2970, 4125, 4536, 5413, 6604, 8132, 228, 1961, 2833, 3550, 4387, 5689, 6607, 7957, 518, 2127, 3064, 3550, 5138, 6205, 6786, 7716, 654, 1750, 2729, 3798, 4583, 5795, 7232, 8126, 654, 1510, 2468, 4171, 4701, 5730, 6338, 7477, 127, 2106, 3133, 3364, 4555, 5493, 6584, 8126, 654, 1332, 2473, 3827, 4863, 5219, 7207, 8126, 228, 1961, 2833, 4125, 4863, 5436, 7129, 8036, 256, 1684, 3133, 4174, 4512, 5310, 6740, 7806, 833, 1684, 2960, 3595, 4201, 5548, 6889, 7753, 716, 1918, 2327, 4007, 4813, 5978, 7087, 8027, 786, 1773, 2927, 3292, 4444, 5880, 6563, 8254, 646, 1403, 2332, 3165, 5081, 5361, 6913, 7712, 1080, 1397, 2750, 3225, 4209, 6164, 6478, 7516, 668, 2107, 3033, 3341, 4358, 5880, 6337, 8070, 806, 1773, 2271, 3171, 4321, 5899, 6273, 7815, 641, 1510, 2389, 3882, 4877, 5905, 6790, 7367, 663, 1594, 2750, 4094, 5096, 5573, 6224, 7607, 980, 2068, 2943, 4145, 4334, 5844, 6816, 7899, 1037, 1363, 2944, 3826, 4877, 6182, 6848, 7393, 308, 2000, 3053, 3826, 4870, 5573, 6938, 8132, 899, 1963, 3053, 3188, 4946, 5590, 7114, 8061, 699, 1286, 2886, 4125, 4231, 5397, 6313, 7992, 225, 1851, 2895, 3838, 4398, 5223, 6584, 7720, 518, 1749, 2542, 3710, 5138, 6110, 7232, 7485, 518, 1252, 2941, 3564, 4267, 5624, 7091, 7721, 518, 1961, 2833, 3891, 5138, 5514, 6589, 7537, 256, 1851, 2833, 3933, 5138, 5514, 7090, 7574, 789, 2030, 2469, 4111, 4192, 5795, 7152, 7749, 552, 1585, 2806, 3914, 5079, 5438, 7100, 8118, 153, 1961, 2833, 4124, 5079, 6110, 6589, 7717, 475, 2065, 2833, 4113, 4888, 6175, 7098, 7476, 935, 1851, 3135, 3891, 4611, 5892, 6740, 8083, 915, 1528, 2806, 3550, 5138, 5705, 6889, 7806, 899, 1945, 2833, 3987, 4630, 5677, 6709, 7383, 160, 1388, 2474, 3543, 4437, 5962, 7127, 7759, 1067, 2055, 2542, 3394, 4897, 5538, 6961, 7809, 535, 1139, 2464, 3201, 4995, 6073, 6269, 7438, 535, 2055, 3033, 3416, 4233, 6044, 7030, 8268, 1057, 1206, 2156, 3258, 4983, 5386, 6870, 7781, 899, 1806, 2936, 3340, 4579, 5944, 6339, 7293, 1099, 1915, 2754, 4006, 5183, 6016, 7111, 7557, 555, 1915, 2312, 3886, 4872, 5609, 6786, 7664, 935, 1791, 3006, 3891, 5061, 5705, 7111, 8179, 859, 1684, 2895, 3231, 4611, 5352, 7002, 8266, 757, 2034, 2833, 3424, 4993, 5536, 6715, 7816, 568, 1971, 2792, 3723, 5060, 5436, 6706, 8099, 568, 1488, 3058, 3595, 5088, 5490, 6578, 7498, 579, 1596, 2661, 3723, 4715, 5854, 6579, 7983, 579, 1597, 2213, 3827, 4990, 5991, 6819, 7660, 171, 1304, 3021, 3886, 4186, 5963, 6612, 8266, 160, 1509, 2656, 3776, 5135, 6051, 6910, 7472, 1067, 1982, 2353, 3434, 4993, 6179, 6854, 8032, 943, 1770, 2751, 3434, 4280, 5995, 6828, 8087, 396, 1907, 2232, 3661, 4205, 5277, 6778, 7652, 944, 1809, 2816, 3745, 4736, 6055, 7154, 7535, 1036, 1653, 2410, 4031, 4723, 5371, 6346, 8197, 692, 1656, 2520, 3741, 5096, 5246, 6482, 7646, 692, 1255, 2487, 3968, 4652, 5868, 6335, 7415, 970, 1889, 2783, 3714, 4531, 5212, 7232, 7799, 308, 1747, 2678, 3761, 4297, 6137, 6579, 8260, 1079, 1508, 2949, 3516, 4276, 5767, 6852, 8237, 857, 1363, 2803, 4026, 5083, 5378, 6820, 8263, 334, 1633, 2718, 3170, 4451, 6035, 7078, 7476, 118, 1112, 2802, 3916, 4862, 6160, 7058, 8095, 757, 1182, 2946, 3995, 5146, 5723, 6291, 7291, 1090, 1561, 3038, 4083, 4513, 5441, 6650, 8069, 610, 1306, 2336, 3955, 4606, 5486, 6603, 7906, 1003, 1778, 2232, 3673, 4288, 5370, 7181, 7785, 487, 1548, 2470, 3341, 4522, 5557, 7232, 7724, 103, 1830, 2210, 3536, 4510, 5656, 6914, 7873, 356, 2000, 2436, 3591, 4470, 5218, 6612, 7648, 804, 1218, 2238, 4145, 5061, 5534, 6234, 7732, 857, 1320, 2941, 3752, 4881, 6106, 6702, 8143, 1020, 1794, 2608, 4175, 4952, 6000, 6717, 7868, 569, 1951, 2166, 3304, 5154, 5538, 6832, 7270, 1080, 1706, 2480, 3292, 4804, 5552, 6579, 7742, 918, 1397, 2203, 3547, 4641, 5918, 6829, 7959, 1080, 1706, 2885, 4060, 4924, 6197, 6711, 7613, 643, 2034, 2771, 3820, 4724, 5690, 6563, 8214, 807, 1164, 2345, 3212, 4224, 5334, 6925, 7408, 692, 1706, 2751, 3644, 4998, 6094, 6735, 7540, 504, 1782, 2720, 3970, 4606, 6199, 6530, 8164, 678, 1834, 2741, 3170, 4694, 5761, 6698, 8098, 308, 1540, 3021, 3500, 4437, 5438, 7030, 7574, 859, 1989, 3021, 3990, 4555, 5386, 6988, 7717, 956, 1992, 3021, 3226, 5038, 6182, 7239, 7782, 956, 2068, 3110, 3710, 4681, 6146, 7239, 7570, 488, 1508, 3117, 3367, 4888, 5705, 6972, 8179, 818, 1998, 2164, 4174, 5061, 5705, 7084, 8196, 818, 1622, 2803, 4018, 4630, 5241, 7077, 8267, 488, 2017, 3065, 3825, 4624, 6139, 7226, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 43, 48, 5, 16, 54, 30, 5, 30, 20, 52, 66, 16, 54, 5, 28, 39, 30, 5, 16, 5, 28, 63, 48, 41, 5, 41, 34, 63, 76, 33, 52, 5, 66, 73, 5, 31, 33, 63, 5, 54, 73, 5, 41, 63, 33, 54, 30, 78, 5, 16, 54, 30, 5, 52, 33, 41, 66, 5, 41, 20, 63, 5, 31, 16, 5, 43, 33, 30, 51, 76, 21, 63, 66, 35, 78, 5, 17, 75, 5, 50, 33, 54, 35, 16, 52, 5, 76, 45, 54, 30, 35, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 2017, 2164, 3893, 4624, 6081, 7226, 7766, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 488, 1648, 2914, 3893, 4798, 5635, 6752, 8196, 617, 1286, 2454, 3352, 5135, 5436, 7129, 8164, 757, 1937, 2991, 3596, 5083, 5514, 6571, 7451, 1059, 1561, 2309, 4078, 5012, 5963, 6291, 7707, 685, 2034, 2923, 3192, 4839, 6015, 6848, 7985, 962, 1336, 2222, 3323, 5135, 5863, 6281, 7558, 962, 1550, 2544, 3960, 4586, 5972, 6466, 7605, 545, 1339, 2327, 3394, 4670, 5995, 6569, 7633, 545, 1339, 2346, 4150, 4413, 5863, 6569, 7726, 902, 1655, 2503, 3623, 4790, 5884, 6717, 8071, 992, 1906, 2923, 3770, 4691, 6034, 6528, 8206, 1019, 1706, 2677, 3785, 4882, 6177, 6357, 7318, 1019, 1400, 2138, 3850, 4702, 6004, 6569, 7312, 511, 1805, 2544, 3599, 4829, 5733, 7134, 7828, 992, 2058, 2823, 3641, 4223, 5280, 6544, 7405, 344, 1283, 2836, 3684, 5128, 5526, 6921, 7971, 556, 1496, 2997, 4003, 4687, 5659, 6947, 7894, 731, 1453, 2387, 3178, 4458, 6055, 6627, 7831, 767, 1912, 2543, 3917, 4855, 5614, 6884, 7551, 970, 1982, 3053, 3605, 4536, 5836, 6774, 7658, 692, 1637, 2436, 3221, 4672, 5765, 7163, 7830, 504, 1755, 2945, 3892, 4855, 6077, 6512, 8227, 678, 1682, 2926, 3233, 4918, 5746, 6413, 7906, 684, 1998, 2771, 3918, 4630, 6181, 6980, 7607, 1102, 1964, 2495, 4096, 5095, 6070, 6688, 7803, 1004, 1794, 2156, 3581, 5144, 5262, 6740, 7558, 737, 1482, 2436, 3611, 4878, 5618, 6963, 7378, 1092, 1205, 2933, 3937, 4866, 6135, 6866, 8131, 531, 1582, 2719, 3239, 4668, 5999, 6457, 8250, 917, 1582, 2800, 3429, 4749, 5959, 6762, 8246, 917, 1279, 2286, 3779, 4257, 5986, 6350, 7491, 339, 1469, 2870, 3176, 4911, 6068, 6224, 7568, 339, 1543, 3072, 3486, 4457, 6199, 6663, 7318, 339, 1469, 2280, 3474, 4693, 6052, 6267, 7690, 1067, 1926, 2189, 3345, 4941, 6174, 6510, 7602, 643, 1468, 2425, 3554, 4441, 5815, 6735, 7497, 150, 1469, 2604, 3573, 4683, 6101, 6865, 7298, 610, 1179, 2348, 3374, 4760, 6118, 6410, 7626, 610, 1608, 2349, 3567, 4206, 5702, 6614, 8070, 450, 1280, 2926, 3856, 5020, 5228, 7129, 8132, 878, 2098, 2493, 4105, 4602, 5463, 7002, 8262, 195, 1924, 2552, 3378, 4638, 5590, 6787, 7913, 541, 1826, 2801, 4105, 4860, 6075, 6777, 7259, 1033, 2065, 2677, 4082, 4285, 5664, 6550, 7261, 266, 1958, 2235, 3978, 4805, 5600, 6254, 8064, 1036, 1496, 2543, 4128, 5118, 6006, 6729, 8012, 938, 2085, 2455, 3360, 4224, 5579, 6308, 8036, 391, 1268, 2868, 3480, 4428, 6052, 7232, 7303, 948, 2095, 2678, 3233, 4573, 5413, 6531, 7584, 731, 1828, 2945, 3530, 4622, 6123, 7207, 8107, 223, 1543, 2436, 3615, 4556, 6222, 6276, 7702, 643, 1780, 3053, 3605, 4666, 5641, 6850, 7791, 504, 1755, 2741, 4055, 4536, 5565, 6626, 7548, 1025, 1797, 2444, 3233, 5124, 5767, 6787, 8079, 390, 1671, 2340, 3819, 4365, 5981, 6579, 7602, 1056, 1747, 2340, 3909, 5165, 5661, 7207, 8195, 684, 1791, 2947, 4174, 5085, 5219, 6809, 7641, 804, 1328, 2957, 4174, 5165, 5749, 6515, 8179, 571, 1540, 3007, 4085, 4834, 6063, 6752, 8267, 884, 1817, 2149, 3891, 4534, 6047, 6349, 8040, 271, 1507, 2863, 3981, 4935, 5370, 6870, 7831, 602, 1732, 3033, 3563, 4222, 5971, 6241, 8049, 737, 1118, 2983, 3392, 4539, 6122, 6560, 7975, 807, 1635, 3116, 4037, 5194, 5706, 7193, 7480, 920, 2033, 3118, 3239, 4364, 6035, 6284, 7594, 545, 1948, 2532, 4015, 4404, 5825, 6303, 7442, 986, 1563, 2751, 3995, 4448, 5224, 6466, 8150, 545, 1305, 2316, 3329, 4595, 5757, 6335, 7616, 314, 1935, 3029, 3623, 4550, 5706, 6738, 7721, 725, 1164, 3085, 3172, 4939, 6123, 6861, 7405, 1081, 1820, 2833, 3904, 5073, 6010, 7018, 8131, 288, 1349, 3043, 4026, 4998, 5694, 6988, 8260, 271, 1349, 2456, 4166, 4868, 5889, 7098, 7376, 249, 1633, 2239, 3928, 4400, 6118, 7009, 7480, 363, 1979, 2807, 3878, 4903, 5867, 7082, 8065, 840, 1510, 2881, 3649, 4344, 5606, 6725, 7954, 424, 1509, 2129, 4162, 4918, 5999, 6571, 7764, 512, 2046, 2520, 3955, 5088, 6195, 7230, 8236, 308, 1218, 2980, 4152, 4780, 5485, 6921, 8260, 684, 2046, 2947, 4011, 5166, 6195, 6646, 7664, 804, 1587, 2838, 4174, 4366, 5832, 7239, 8195, 684, 1705, 2895, 4114, 4822, 5612, 7077, 7631, 804, 1591, 3007, 3516, 4551, 6211, 6901, 7720, 308, 1981, 2809, 3803, 5139, 5705, 6515, 8237, 571, 1945, 3064, 4174, 4980, 5968, 6786, 7723, 308, 1981, 2957, 4068, 5115, 6205, 7207, 7720, 390, 2063, 2957, 3945, 5058, 5901, 6979, 8237, 459, 1601, 2654, 3183, 4360, 5492, 6354, 7647, 1057, 1399, 3151, 3524, 4941, 5802, 6515, 7798, 802, 1736, 2555, 3584, 4369, 6185, 6404, 8243, 936, 1736, 2214, 3273, 4720, 5552, 7064, 7607, 363, 1758, 3106, 3165, 4459, 5429, 6896, 8038, 540, 1397, 2242, 3454, 4384, 5936, 6637, 7488, 986, 1834, 2799, 4162, 4578, 6068, 7241, 7756, 448, 1550, 2402, 4168, 4364, 5764, 7220, 7752, 103, 1305, 2282, 3801, 4736, 5470, 6719, 8011, 103, 1234, 2311, 3551, 4983, 5704, 6583, 8111, 779, 1847, 2717, 3826, 4859, 5385, 7010, 7485, 684, 1421, 3112, 3188, 4993, 5219, 7143, 7720, 256, 1467, 3026, 3866, 5007, 6146, 6607, 7962, 256, 1851, 2925, 3680, 4470, 6149, 6607, 8130, 518, 1198, 2139, 3680, 4894, 5481, 6848, 7556, 256, 2060, 2560, 3233, 5188, 6149, 6939, 8066, 256, 1490, 3021, 3761, 4630, 5672, 7098, 7844, 256, 1496, 3133, 3681, 4983, 5892, 7098, 7716, 552, 2002, 2970, 4145, 4704, 6110, 6740, 7563, 484, 1750, 2833, 3914, 4423, 6081, 7120, 7723, 186, 2065, 2806, 3680, 4870, 5534, 7168, 7723, 860, 2017, 2914, 3893, 4704, 5901, 7124, 7766, 860, 1528, 2806, 3825, 4704, 5901, 7124, 7766, 142, 1528, 2806, 3893, 4624, 6186, 7226, 8223, 488, 2017, 3065, 3893, 4624, 5635, 7077, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1648, 3065, 4071, 4624, 6186, 7077, 7766, 240, 2030, 3064, 4006, 4611, 5963, 7006, 7717, 240, 2030, 2554, 3555, 5159, 6110, 6717, 7570, 240, 2030, 2970, 4092, 5159, 5493, 7160, 7677, 256, 1750, 2554, 4145, 4398, 5719, 7091, 7557, 256, 1851, 2970, 4145, 5159, 5515, 6612, 8130, 256, 1452, 2340, 4145, 5113, 5385, 6612, 8261, 617, 1851, 2340, 3407, 5079, 5677, 6677, 7717, 617, 1869, 2560, 3692, 5167, 5840, 7009, 7537, 166, 1763, 2436, 4174, 4670, 5264, 6265, 7557, 973, 1286, 2615, 3524, 5084, 5657, 7048, 7519, 1023, 2099, 2464, 3610, 5122, 5988, 6680, 7863, 249, 1695, 2705, 4106, 4218, 5656, 6308, 7296, 363, 1588, 2464, 3850, 4467, 5581, 6347, 7626, 1017, 1140, 3037, 3957, 4656, 5957, 6224, 7971, 730, 1548, 3116, 3770, 4264, 6191, 6905, 7521, 693, 1302, 2725, 3770, 4604, 5295, 6930, 7974, 730, 1402, 2331, 3775, 4320, 5815, 7082, 7983, 840, 1665, 2869, 3892, 4372, 5893, 6348, 7954, 1067, 1199, 3050, 3552, 4799, 6055, 6393, 8247, 271, 1199, 2719, 3268, 4982, 5812, 6868, 7762, 643, 2019, 2869, 4029, 4420, 5694, 7140, 7497, 1090, 1494, 2985, 3507, 4927, 5824, 6896, 8078, 1090, 1494, 2965, 4093, 5096, 5511, 7140, 7492, 1025, 1897, 2371, 4017, 5044, 6125, 6870, 7776, 1025, 1499, 2325, 4067, 4181, 5884, 7037, 8195, 778, 1270, 2129, 3870, 4867, 5684, 6638, 8046, 1016, 2036, 2945, 4098, 4873, 5702, 6750, 7891, 536, 1726, 2137, 3954, 5018, 5984, 6328, 7694, 137, 2079, 2436, 3290, 5196, 6218, 6929, 7735, 1001, 2059, 3005, 3778, 4553, 5713, 6249, 7602, 137, 1826, 2689, 3380, 5188, 5441, 6440, 7894, 137, 1826, 2689, 3720, 4602, 5839, 6977, 7990, 536, 1507, 2725, 3354, 5092, 5296, 7085, 7970, 888, 1826, 2559, 3528, 4812, 5886, 6687, 8111, 123, 1826, 2869, 3684, 4256, 6221, 6789, 7889, 271, 1503, 2452, 4076, 4720, 5587, 7245, 7337, 371, 1548, 2173, 3561, 5049, 6037, 6828, 7909, 693, 1503, 2173, 3842, 4592, 5491, 6659, 8151, 887, 1503, 2887, 4036, 4575, 5954, 6656, 7373, 770, 1499, 2842, 3777, 4755, 5361, 6331, 7475, 643, 1199, 2313, 3856, 4630, 5433, 7024, 7979, 1081, 2035, 2991, 4086, 4512, 5586, 6988, 7976, 940, 1773, 2970, 4171, 4782, 5893, 6338, 8185, 1097, 2000, 2340, 3916, 5120, 6063, 7160, 7715, 1099, 1620, 2730, 3990, 5038, 5832, 6980, 7949, 186, 1648, 2746, 3932, 5061, 6129, 6979, 8147, 334, 1332, 2729, 3562, 4844, 6149, 7152, 8179, 225, 1349, 2791, 3710, 4912, 5493, 7168, 7660, 153, 1382, 2183, 3323, 5127, 5935, 6740, 7480, 1033, 1763, 2503, 3891, 5088, 5574, 6810, 7775, 535, 1555, 2346, 3697, 5052, 6002, 6313, 8199, 535, 1531, 2314, 3437, 4678, 5595, 6626, 7259, 826, 2125, 2346, 4099, 4428, 5558, 7012, 7677, 1056, 1318, 2542, 3975, 5044, 5515, 7129, 7578, 211, 1887, 2330, 4151, 4198, 5832, 6520, 8227, 756, 1930, 2473, 3909, 4762, 5590, 6668, 7677, 691, 1682, 2869, 3895, 4993, 5664, 7075, 7982, 672, 1252, 2482, 3992, 4906, 5885, 7188, 8044, 994, 1283, 2464, 3978, 4887, 6197, 6230, 8117, 994, 1434, 2610, 3417, 4321, 5631, 6726, 8178, 884, 1732, 2464, 3755, 5176, 5934, 6674, 8156, 884, 1664, 2835, 3751, 4995, 6030, 7227, 7740, 1041, 2009, 2750, 3421, 5053, 5643, 7123, 7885, 1040, 1110, 3149, 3824, 5053, 6040, 6678, 7881, 992, 2036, 3120, 4016, 4205, 6121, 6965, 7963, 850, 1695, 2465, 3479, 4489, 5474, 6969, 7516, 424, 1878, 3032, 3427, 5169, 5918, 6426, 8078, 850, 1676, 2245, 3901, 5144, 5648, 6828, 7821, 778, 1499, 2868, 3973, 4693, 5421, 6814, 7962, 104, 2053, 2868, 3292, 5042, 6112, 6980, 7778, 536, 1550, 2988, 3213, 4691, 5298, 6648, 7902, 807, 1808, 3040, 3948, 4804, 5899, 6764, 7312, 363, 1808, 3141, 3355, 4392, 5787, 6478, 8256, 299, 1550, 3091, 3653, 4593, 6130, 7072, 8078, 1059, 2072, 2830, 4103, 5097, 5482, 6562, 8146, 981, 1794, 2867, 3637, 4816, 6119, 6648, 7498, 643, 1252, 2515, 3262, 5092, 6181, 7219, 7958, 504, 1531, 2933, 3733, 4849, 5944, 6626, 8030, 940, 1682, 2659, 3826, 5079, 5658, 7098, 7260, 405, 1707, 3095, 3352, 4215, 6085, 7162, 7677, 256, 1206, 3128, 3982, 4529, 5942, 7024, 7948, 518, 1750, 3147, 4166, 5061, 5609, 6408, 8126, 256, 2000, 2473, 3374, 5088, 6195, 6734, 7723, 256, 2000, 2340, 3827, 4225, 5438, 6604, 7919, 256, 1304, 2803, 3879, 5038, 6117, 6820, 7976, 568, 2030, 2340, 3564, 4459, 5550, 7207, 8066, 1015, 1141, 2473, 3374, 5007, 5500, 7152, 7826, 153, 2106, 3064, 3932, 4387, 5761, 7090, 7303, 401, 2088, 2167, 4151, 5138, 5993, 6752, 7481, 271, 1479, 3056, 3277, 5085, 6094, 6850, 8203, 895, 1711, 2332, 3370, 4554, 5944, 6566, 7959, 536, 1517, 2587, 3452, 4510, 5401, 6762, 8178, 936, 1736, 2716, 3973, 4539, 6040, 6328, 7889, 840, 1510, 2415, 3712, 4904, 5417, 6806, 7617, 492, 1422, 2740, 3306, 4567, 6078, 7065, 7574, 1041, 1553, 2374, 3605, 4181, 6144, 7012, 7628, 465, 1476, 2506, 3936, 4186, 5978, 6404, 7914, 880, 1472, 2396, 4003, 4509, 5497, 6837, 7718, 778, 1886, 2156, 3742, 5025, 5761, 6358, 8107, 639, 1978, 2151, 3605, 4455, 5601, 6790, 7496, 862, 1935, 2156, 3463, 5146, 6133, 6746, 7869, 844, 1489, 2771, 3605, 4318, 6175, 7017, 7978, 1090, 1966, 2710, 4017, 5052, 5324, 6888, 7291, 831, 1141, 2515, 3795, 4513, 5950, 6961, 7971, 767, 1322, 2940, 3410, 4691, 5276, 6751, 7965, 850, 1141, 2750, 3424, 4588, 5913, 6655, 8254, 408, 1269, 2990, 3655, 4983, 5810, 6736, 7255, 850, 1350, 2429, 3991, 4359, 5614, 7098, 7462, 778, 1141, 2974, 3771, 4733, 5784, 6458, 8213, 104, 1141, 2312, 3259, 4690, 5784, 7230, 7602, 936, 1773, 2646, 4096, 4869, 5784, 6338, 7962, 536, 1777, 3033, 3680, 4494, 5993, 6494, 8107, 887, 1509, 2422, 3771, 4834, 5954, 6550, 7259, 150, 1252, 2727, 3455, 5098, 5259, 6680, 7386, 613, 1628, 2495, 4096, 5138, 5975, 6777, 7557, 1014, 1299, 2974, 3882, 4539, 6115, 6640, 7865, 1014, 2002, 2990, 3749, 4334, 5854, 6607, 7577, 518, 1924, 2529, 3904, 4862, 5263, 6870, 7797, 228, 1924, 2341, 3865, 4945, 5586, 7055, 7992, 256, 2002, 2991, 4078, 5007, 5514, 7120, 7498, 256, 2111, 2554, 3470, 5079, 5514, 7152, 7383, 105, 1750, 2359, 3687, 4387, 5677, 7090, 8179, 818, 1684, 3008, 3914, 5157, 5963, 7152, 7677, 488, 2000, 2806, 4011, 5038, 6139, 7239, 8223, 419, 2000, 2164, 3914, 4630, 6129, 6677, 8196, 915, 1622, 2833, 3825, 4798, 5241, 7120, 8147, 105, 1695, 2792, 4171, 5104, 5981, 6677, 7557, 859, 2002, 2970, 3873, 5160, 5515, 6810, 7723, 859, 2002, 2839, 3518, 5138, 5586, 7098, 7563, 105, 1147, 3147, 4068, 4549, 5515, 7129, 7723, 617, 1695, 3143, 3932, 4681, 6175, 6515, 7716, 105, 2106, 3065, 3391, 4583, 5246, 7090, 7865, 105, 2106, 2833, 3782, 5190, 5296, 6688, 7707, 105, 2106, 2833, 4068, 4555, 5811, 7120, 7865, 105, 2106, 3064, 3425, 4549, 5221, 6776, 7485, 859, 2002, 2941, 3596, 4549, 5385, 6612, 8080, 105, 2106, 2858, 4068, 5079, 5296, 6959, 7706, 105, 1684, 3021, 3596, 4622, 5840, 7069, 7707, 105, 2106, 2941, 3391, 5166, 5385, 6752, 7865, 105, 1695, 2792, 4149, 5079, 5981, 6612, 7716, 859, 1304, 2775, 3391, 5166, 5550, 6688, 7865, 105, 2106, 2833, 3680, 4549, 6137, 7090, 7706, 105, 1684, 2775, 3596, 4681, 5580, 6988, 8266, 105, 1736, 2839, 3803, 4512, 5635, 7091, 8009, 859, 1750, 3065, 3391, 4549, 5385, 7077, 7732, 555, 1468, 2839, 4153, 5038, 5219, 7069, 7664, 859, 1684, 2880, 3374, 5159, 6081, 6772, 8179, 555, 1684, 2970, 3827, 5157, 5767, 6677, 7865, 555, 1684, 3143, 3994, 4888, 5635, 6604, 7557, 142, 1528, 2914, 3825, 5060, 6139, 7124, 8147, 860, 2017, 2164, 3825, 4624, 6139, 7077, 8147, 142, 1528, 2914, 3893, 4798, 6186, 7077, 8223, 915, 1622, 2833, 3893, 4798, 5635, 6794, 7766, 1006, 1349, 2144, 3851, 4239, 5944, 7100, 7995, 728, 1695, 2861, 3417, 4338, 5440, 6881, 7633, 1036, 1140, 2239, 3750, 4811, 6167, 6493, 8149, 314, 1794, 2922, 3252, 4811, 5523, 6762, 8084, 1029, 1400, 2225, 3562, 5050, 5314, 6455, 7627, 504, 1830, 2868, 3605, 4912, 5641, 6824, 7687, 1024, 2033, 2868, 4021, 4205, 5576, 7236, 8178, 1024, 1755, 2564, 3276, 4912, 5548, 7004, 7976, 216, 2091, 2741, 3917, 5020, 5513, 7168, 7488, 401, 1141, 2167, 3374, 4536, 6117, 6670, 7438, 620, 1171, 2610, 4055, 5124, 5700, 7218, 8203, 788, 1562, 2282, 3863, 4191, 6004, 6871, 8226, 1059, 1828, 2631, 3350, 4522, 5475, 6835, 7532, 722, 1828, 2222, 4036, 5078, 5643, 7030, 8016, 948, 1828, 2697, 3250, 4764, 5890, 6619, 7393, 335, 1585, 2263, 3601, 4773, 6065, 6525, 8028, 582, 1503, 2552, 3967, 4354, 5894, 7126, 7983, 1103, 2002, 2986, 3575, 4776, 5606, 7125, 8006, 714, 2019, 2626, 3817, 4736, 5400, 6396, 7496, 1070, 1225, 2953, 3572, 4755, 5347, 6941, 7957, 1070, 1521, 2983, 3993, 4937, 5671, 6448, 8050, 930, 1984, 2869, 3395, 4927, 6162, 6637, 7788, 948, 1301, 2810, 3848, 4478, 6014, 6484, 7873, 256, 1459, 2980, 3472, 4486, 5890, 6671, 7476, 518, 2030, 3026, 3916, 4532, 5455, 6607, 7508, 789, 1783, 2473, 3866, 4896, 6175, 6830, 7949, 935, 2097, 2957, 3226, 4856, 5586, 6972, 7658, 935, 1622, 2469, 3914, 5038, 6175, 7120, 7876, 967, 1874, 2730, 3982, 4792, 5901, 7201, 7723, 256, 1851, 2806, 3407, 5058, 5901, 7100, 8061, 518, 2097, 2970, 3932, 4549, 5580, 7017, 7574, 240, 1490, 3000, 3838, 4870, 5296, 7084, 8236, 256, 1304, 3147, 3277, 4867, 5413, 7182, 7563, 256, 1750, 3147, 3891, 4267, 5713, 6466, 8185, 1015, 2060, 2730, 4124, 5053, 5901, 7019, 7515, 617, 1833, 2781, 3391, 4681, 5534, 6671, 7913, 450, 1509, 3021, 3803, 4512, 5386, 7007, 8161, 318, 1535, 2312, 3531, 4702, 5479, 6691, 7451, 493, 1469, 3031, 3156, 4903, 5769, 6910, 7462, 339, 1469, 2638, 3302, 4818, 5316, 7086, 8188, 546, 1318, 2519, 3302, 4707, 5295, 6810, 8109, 360, 2066, 2347, 3332, 5023, 5869, 6880, 8110, 266, 1651, 2137, 4050, 4800, 6056, 6551, 7632, 645, 1318, 2953, 4115, 5020, 5850, 6859, 7843, 959, 1499, 2762, 3388, 5020, 5276, 7233, 7870, 610, 1833, 2265, 3776, 4656, 5219, 6792, 7881, 845, 1199, 2221, 3543, 4761, 5413, 6263, 7777, 249, 1346, 2726, 3356, 4702, 5442, 6241, 7580, 546, 1402, 2744, 3356, 4989, 5624, 6530, 7900, 1060, 1496, 3091, 3924, 4321, 5928, 7026, 7437, 884, 1349, 2513, 3531, 4612, 5954, 6626, 7983, 319, 1320, 2689, 3581, 4868, 5603, 7080, 8257, 1071, 1332, 2307, 4153, 4212, 5325, 6743, 7509, 613, 1564, 2688, 4026, 5163, 5535, 6348, 7814, 942, 1516, 3149, 3895, 4321, 5626, 6333, 7810, 660, 1442, 2146, 3329, 5092, 5381, 6730, 7575, 739, 1280, 3116, 3577, 4474, 6179, 6327, 8130, 725, 2066, 2315, 3172, 4734, 5539, 7024, 8249, 512, 1700, 2754, 3994, 4983, 5413, 6810, 7313, 914, 1499, 3026, 3945, 4762, 5493, 6979, 8260, 959, 1791, 2970, 4026, 4681, 5844, 6302, 7263, 757, 2125, 3029, 3704, 5138, 6086, 6827, 7574, 1097, 2097, 2957, 4170, 4822, 5892, 7239, 8076, 186, 2017, 2991, 3886, 4276, 5241, 6810, 7806, 935, 2017, 3007, 3226, 5061, 6063, 6752, 8237, 1094, 1664, 3046, 3909, 4946, 6175, 7168, 7296, 1051, 1523, 3046, 3803, 4226, 5904, 6467, 7563, 967, 1648, 2803, 4011, 4276, 5761, 6891, 7816, 959, 2028, 2419, 3908, 4529, 5869, 6734, 8107, 401, 1370, 3043, 3226, 4533, 5506, 6988, 7895, 386, 2008, 2392, 3176, 4462, 5724, 7222, 7519, 888, 1469, 2822, 3462, 4525, 5953, 6525, 7980, 123, 2029, 2456, 4072, 4966, 5220, 6957, 7954, 888, 1243, 2175, 3536, 4468, 5496, 7072, 7527, 1067, 1535, 2486, 3729, 4358, 6142, 6574, 7492, 271, 2070, 2749, 3755, 4687, 5579, 7035, 8234, 895, 1269, 3056, 3536, 4559, 5801, 6388, 8137, 150, 1189, 2740, 3605, 4892, 5600, 6331, 7349, 473, 1930, 2878, 4073, 4276, 5816, 7111, 8071, 171, 1171, 3038, 4128, 4731, 5586, 6670, 7472, 981, 1171, 2154, 4128, 4930, 5482, 6719, 8083, 150, 1759, 3075, 4128, 4607, 5204, 6488, 7349, 725, 1566, 2744, 4128, 4359, 5344, 6959, 7718, 692, 1828, 3037, 3374, 4743, 5481, 6856, 7688, 150, 2008, 2310, 3418, 4855, 5865, 6858, 7996, 725, 1496, 3085, 3410, 5015, 6052, 7152, 8082, 504, 1496, 2741, 3679, 5115, 5641, 6787, 7740, 940, 1370, 2429, 3374, 4334, 5825, 6507, 7842, 317, 1682, 2788, 3547, 4604, 5886, 7111, 7557, 225, 1676, 3029, 3608, 4185, 5891, 6292, 7771, 228, 1468, 2251, 3562, 4382, 5787, 6726, 7826, 228, 1939, 2566, 3374, 5088, 5705, 6286, 8262, 225, 1796, 2980, 3838, 5128, 5223, 6900, 7852, 613, 2125, 2490, 3983, 5138, 5549, 6443, 7588, 1067, 1496, 2556, 3655, 5182, 5536, 6732, 8173, 725, 1828, 2313, 3384, 4717, 5603, 6610, 8156, 249, 1496, 2750, 3482, 5031, 5210, 6663, 7970, 776, 2001, 2163, 3994, 5169, 6042, 6857, 7982, 211, 1915, 3150, 3350, 4529, 5702, 6413, 8134, 211, 1906, 2352, 3680, 4875, 5661, 6410, 7602, 1056, 1403, 3101, 3516, 5061, 5678, 7084, 7723, 390, 1915, 2957, 3710, 4215, 5767, 7077, 7717, 308, 1931, 3064, 4085, 4551, 5901, 6988, 8185, 684, 1881, 3144, 3916, 4622, 5378, 7160, 8070, 715, 1906, 2520, 4143, 4536, 5530, 6762, 7383, 225, 1782, 2678, 4092, 4949, 5825, 6816, 7675, 334, 1865, 3116, 3971, 4935, 5830, 6986, 7355, 421, 1286, 2357, 4135, 5167, 5485, 6903, 7954, 887, 1794, 2874, 3188, 4743, 5625, 6725, 7712, 786, 1717, 3097, 3970, 4224, 5653, 6458, 7777, 793, 1323, 2156, 4038, 4497, 5894, 6957, 8115, 930, 1968, 2156, 3751, 4345, 5381, 6847, 7889, 404, 1496, 2751, 3446, 4616, 5607, 6295, 7822, 802, 1139, 2597, 4015, 4268, 6217, 6875, 7648, 1057, 1828, 3019, 3261, 4575, 5903, 6610, 7844, 1090, 2107, 3137, 3789, 4801, 5797, 7086, 8094, 778, 2063, 2481, 4096, 4254, 5784, 6348, 8266, 104, 1496, 2868, 4162, 4772, 5890, 7059, 7919, 826, 1540, 2728, 3454, 4855, 6215, 7157, 7865, 887, 1581, 2436, 3374, 4365, 5978, 6579, 7576, 850, 1827, 2429, 3557, 4595, 6144, 6588, 8260, 1057, 1499, 2959, 3949, 4293, 5350, 7184, 7962, 887, 2064, 2520, 3510, 4714, 5987, 6884, 8129, 104, 1318, 2731, 3296, 4986, 5294, 6967, 7934, 104, 1727, 2796, 3352, 4588, 5454, 6943, 7466, 104, 2089, 2972, 3868, 4242, 6051, 7065, 8076, 104, 2089, 2612, 3934, 5027, 5515, 6782, 7900, 536, 1469, 2903, 3213, 4444, 5592, 7156, 7973, 150, 1469, 2727, 4137, 4906, 5561, 6796, 8252, 150, 1440, 2974, 3386, 5003, 6068, 6354, 7623, 610, 1543, 2133, 3967, 4256, 5448, 6849, 8064, 778, 1440, 2556, 3845, 4513, 5720, 6678, 8006, 887, 1290, 2243, 3685, 5050, 5369, 6798, 7616, 663, 1821, 2998, 3684, 4512, 5968, 6612, 7906, 1056, 1939, 3025, 3811, 4437, 5482, 6871, 7768, 571, 1797, 2936, 4085, 5115, 6085, 6514, 7256, 308, 1175, 2641, 3945, 4287, 6129, 6630, 8267, 1090, 1847, 3135, 4166, 4867, 5785, 7077, 8083, 1025, 1251, 2945, 3895, 5107, 5623, 7206, 7570, 436, 1499, 2894, 4138, 4639, 5385, 6550, 7626, 655, 2036, 2294, 3420, 4506, 5451, 6348, 8209, 161, 2035, 2137, 3214, 4518, 5207, 6262, 7527, 966, 1455, 2173, 4160, 4487, 6179, 6663, 8180, 810, 2107, 3138, 3394, 5071, 5810, 6741, 8203, 1040, 1139, 2751, 4076, 4879, 6107, 6772, 8224, 880, 1171, 2623, 3766, 4664, 5557, 6318, 8149, 487, 1397, 3091, 3554, 5096, 6199, 7154, 7386, 545, 1590, 2369, 3502, 5124, 5828, 6466, 7885, 778, 1118, 2751, 3851, 4843, 5538, 7114, 7977, 850, 1550, 2905, 3603, 4343, 5561, 6708, 8132, 1084, 1164, 2783, 3932, 4474, 6084, 6422, 7865, 391, 1881, 2552, 4005, 5127, 5650, 6871, 8028, 850, 1858, 2154, 4096, 5115, 5788, 6604, 8209, 335, 1363, 2503, 3493, 4897, 5767, 7086, 7584, 831, 1280, 2436, 3347, 4633, 5757, 7007, 7570, 831, 1858, 2629, 3810, 4374, 6195, 6614, 7547, 424, 1363, 2582, 3201, 5139, 6025, 7207, 7723, 216, 1777, 2946, 4110, 4912, 5641, 7084, 7421, 1056, 1591, 2991, 4145, 5061, 6001, 7165, 7678, 1079, 2001, 2960, 3918, 5080, 6111, 7058, 8260, 272, 1209, 2315, 3562, 4912, 5795, 7129, 7660, 725, 1510, 2561, 3424, 4323, 5911, 6455, 7487, 827, 1290, 2336, 3771, 4851, 6005, 6830, 7587, 693, 1821, 2740, 3396, 4529, 6078, 6614, 7602, 876, 1796, 2365, 3687, 4321, 5414, 7003, 7397, 1001, 1758, 2171, 3478, 4339, 5926, 6364, 8017, 981, 1149, 2636, 3631, 5055, 6005, 6800, 8245, 693, 1758, 2455, 3195, 4268, 5953, 6885, 7367, 827, 1518, 2378, 3205, 4256, 6122, 6348, 7693, 403, 1309, 2669, 3771, 4912, 5557, 6348, 7826, 1091, 1309, 2378, 4016, 4613, 5283, 6319, 7758, 779, 2111, 2391, 4038, 4856, 5485, 7006, 7867, 779, 2065, 2586, 4145, 4551, 5529, 6774, 8164, 859, 1139, 2741, 3945, 4533, 5610, 6704, 7838, 552, 1633, 2946, 3994, 5134, 6025, 6892, 7291, 201, 2065, 2914, 3825, 4704, 5901, 7201, 8093, 488, 2017, 2806, 3206, 4624, 5219, 7132, 8223, 818, 2017, 2746, 3645, 5060, 6139, 7226, 8237, 488, 1528, 2914, 3825, 4624, 5901, 6794, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 43, 33, 75, 47, 5, 16, 54, 30, 5, 28, 63, 20, 30, 5, 65, 57, 52, 30, 35, 30, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6139, 7077, 8147, 142, 1622, 2914, 3825, 4704, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 915, 1648, 3021, 3914, 4798, 6186, 7077, 7723, 356, 2127, 2781, 3914, 4762, 6103, 7129, 7753, 878, 1623, 2839, 3175, 5040, 5298, 7103, 7687, 660, 1112, 2729, 3224, 4224, 6115, 6829, 7878, 830, 1282, 2146, 3596, 5031, 5637, 6667, 7250, 830, 1640, 2884, 3329, 4843, 6135, 6850, 7666, 883, 1149, 2974, 4154, 4804, 5631, 7052, 7497, 897, 1112, 2751, 3544, 5161, 5298, 6458, 8028, 113, 1942, 2282, 3778, 4197, 6080, 6560, 7770, 981, 1455, 3116, 3426, 4813, 5853, 6236, 7900, 405, 1972, 3053, 4101, 5058, 6051, 6506, 7761, 308, 1304, 3109, 3752, 5101, 5950, 7232, 7816, 756, 1620, 2947, 3361, 4429, 5962, 6604, 7537, 1090, 1370, 2315, 4152, 4437, 5396, 6617, 7492, 386, 1794, 2717, 3543, 4592, 6056, 6525, 7991, 487, 1302, 2717, 3161, 4492, 5457, 6660, 7393, 807, 1402, 2492, 3796, 4273, 6039, 6923, 7633, 986, 1306, 2751, 3251, 4308, 5823, 6483, 7386, 487, 1499, 2751, 3897, 4288, 5810, 6941, 7438, 271, 1550, 2842, 4126, 4539, 5825, 6292, 7462, 807, 1763, 3116, 3618, 4389, 5672, 7038, 7860, 504, 1550, 3029, 3271, 4946, 6114, 6849, 7720, 643, 1550, 2503, 4007, 4489, 5918, 6752, 7516, 103, 1924, 3098, 3251, 4667, 5325, 6401, 8199, 643, 1550, 2678, 3740, 4539, 5482, 6734, 7716, 970, 1948, 2915, 4072, 5085, 5610, 6967, 8185, 678, 1692, 2559, 3420, 4981, 6006, 6872, 7260, 643, 1233, 2834, 3910, 4512, 5360, 6872, 7438, 662, 1120, 3060, 3305, 4757, 5950, 6536, 7442, 923, 1847, 2937, 3952, 5097, 5305, 6295, 8107, 918, 2052, 2531, 4153, 4915, 5223, 6897, 7675, 759, 1805, 2308, 3517, 5069, 6191, 6639, 7899, 247, 1526, 2271, 3978, 4422, 5297, 7229, 8020, 247, 1472, 2322, 3778, 4495, 5752, 7229, 7724, 535, 1806, 2953, 3544, 5188, 5393, 7018, 7442, 545, 1700, 2486, 3714, 4709, 5768, 6383, 7825, 610, 1200, 3080, 3334, 4365, 5980, 6567, 7537, 778, 1755, 2429, 3615, 4337, 5704, 6800, 7355, 104, 1227, 2210, 3222, 4670, 5413, 7019, 7825, 1025, 1369, 2436, 3671, 4972, 5500, 6918, 8093, 610, 1238, 2783, 3634, 4985, 5889, 6646, 7870, 663, 1280, 3064, 3932, 4551, 6195, 6584, 7574, 308, 1175, 3007, 4145, 5075, 5534, 6979, 7664, 804, 2084, 2754, 3430, 5122, 5892, 6584, 7918, 308, 2063, 2838, 3918, 4870, 6195, 6709, 8147, 452, 1499, 2720, 3309, 4214, 6166, 6761, 8107, 913, 2125, 3150, 3697, 4343, 5810, 6815, 7317, 776, 1477, 2424, 3454, 4470, 5841, 6860, 8006, 864, 1351, 2397, 3459, 5164, 5947, 7112, 7939, 1067, 1350, 3151, 3834, 4701, 5235, 7150, 8117, 938, 1663, 2262, 3691, 5154, 5448, 6700, 7584, 113, 1873, 2569, 4126, 4938, 5405, 6885, 7796, 371, 2070, 2470, 4062, 4705, 5919, 6375, 8230, 271, 1674, 2882, 3760, 4765, 5810, 6404, 8140, 1067, 1669, 3070, 3517, 4468, 5777, 6348, 8028, 778, 1582, 2633, 3187, 4441, 5994, 6631, 7768, 887, 1582, 2727, 3493, 4361, 5344, 6631, 7298, 840, 2019, 2349, 3162, 4436, 5425, 6352, 8078, 1057, 1509, 2564, 3973, 4536, 6104, 6254, 7620, 288, 1510, 2716, 3384, 4912, 6189, 6348, 7972, 512, 1700, 2960, 3188, 5166, 5963, 7207, 7764, 308, 1833, 2970, 4027, 4867, 5963, 7207, 8107, 256, 1623, 2991, 3550, 4276, 5678, 6283, 7880, 118, 1112, 3147, 3909, 4344, 5436, 6733, 7421, 568, 1633, 3008, 4111, 4184, 5811, 6822, 8126, 568, 1550, 3059, 3930, 4594, 5581, 7066, 8080, 118, 1958, 2976, 4124, 4622, 6048, 7207, 8227, 757, 2106, 3021, 3931, 5179, 5474, 6671, 8132, 475, 1304, 2806, 3595, 4638, 5548, 7232, 7476, 153, 1773, 2833, 3470, 5060, 5590, 6786, 7473, 731, 1796, 2760, 3838, 4700, 5536, 6780, 7605, 895, 1822, 2629, 4103, 4981, 5589, 6610, 7537, 465, 1407, 2440, 3374, 4607, 5480, 6284, 8233, 826, 1239, 2741, 3162, 4930, 5435, 6614, 8033, 826, 2070, 2254, 3936, 4774, 6010, 7208, 8225, 826, 2035, 2840, 3605, 4315, 5905, 6614, 7397, 826, 1838, 2348, 3454, 4901, 6096, 6614, 7702, 150, 1838, 2348, 3398, 4305, 5918, 6822, 8222, 887, 1838, 2263, 3485, 4180, 6179, 6281, 7974, 1016, 2079, 2748, 4106, 5088, 5572, 6809, 8117, 610, 1489, 3108, 3208, 4506, 5276, 6844, 8096, 408, 1838, 2577, 3915, 4782, 5512, 6242, 7627, 641, 1120, 2998, 3582, 5141, 5454, 7230, 7527, 424, 1669, 2282, 3983, 4643, 5203, 6614, 8213, 104, 1141, 2678, 3767, 5193, 5742, 7158, 7849, 390, 1791, 3080, 3695, 4330, 5580, 6850, 7806, 308, 1218, 2293, 3975, 4890, 6058, 6752, 8080, 1102, 1965, 2629, 4060, 4946, 5263, 6251, 7868, 881, 1736, 2401, 3949, 4841, 5557, 6710, 7932, 404, 1747, 2292, 4156, 4621, 6002, 6760, 7524, 850, 1918, 2629, 4092, 4881, 5588, 6575, 8212, 1057, 2091, 3026, 3517, 4364, 5428, 6915, 8072, 692, 1171, 2268, 4094, 5146, 5925, 7237, 8182, 569, 1541, 2848, 3968, 4210, 6178, 6593, 8030, 806, 1918, 2480, 3446, 4652, 5965, 6958, 7706, 876, 2079, 2268, 4070, 4620, 5386, 6614, 7546, 1057, 1640, 3083, 4015, 4364, 5762, 6283, 8253, 150, 1794, 2349, 4103, 4364, 5790, 6335, 7897, 938, 1171, 3116, 3485, 5122, 5960, 7143, 7985, 271, 1806, 3019, 3180, 4665, 5584, 6551, 7547, 571, 1273, 2633, 3999, 4615, 5797, 7013, 7698, 308, 1915, 3053, 3873, 5085, 5385, 7207, 8066, 779, 1700, 3128, 3983, 4186, 6051, 7207, 7421, 709, 1844, 3008, 4085, 4888, 6026, 7111, 7717, 356, 1349, 3133, 3662, 4852, 5749, 6908, 7496, 1097, 2017, 3008, 4145, 5165, 5340, 7090, 8076, 818, 1791, 3095, 4108, 4980, 6085, 6979, 8237, 818, 2017, 2838, 4114, 4630, 6129, 6709, 8223, 818, 2046, 2914, 3226, 4624, 6139, 6709, 8223, 555, 1648, 2833, 4145, 4387, 5635, 7077, 8261, 859, 1750, 2833, 3374, 4704, 5678, 7226, 8080, 859, 1695, 2340, 3478, 5079, 5241, 6979, 7831, 859, 2111, 2858, 4006, 5079, 5548, 6584, 7643, 555, 1648, 2970, 4174, 5135, 5586, 7152, 8076, 555, 1974, 3021, 3891, 5079, 5811, 6612, 7563, 555, 1974, 3021, 3891, 5079, 5241, 6612, 7664, 555, 1695, 2781, 4071, 4583, 5981, 6996, 7716, 859, 1750, 2858, 3893, 4681, 5678, 6251, 7485, 555, 1974, 2833, 3595, 5079, 5942, 7120, 7664, 555, 1684, 2858, 3425, 4870, 5438, 7090, 7723, 555, 1684, 2970, 3595, 4512, 5892, 7120, 7563, 555, 1648, 2858, 4096, 5060, 6182, 6612, 7865, 555, 1304, 2775, 3596, 4764, 5534, 6515, 8126, 4, 2 ]

[ 1, 14, 66, 5, 31, 45, 64, 5, 63, 39, 66, 5, 76, 48, 52, 5, 63, 48, 29, 5, 31, 16, 5, 53, 73, 54, 5, 5, 5, 76, 48, 5, 51, 69, 30, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6139, 7077, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 7124, 7766, 555, 1304, 2833, 4168, 4681, 5901, 7124, 8066, 930, 2111, 2271, 3678, 4270, 5631, 6978, 7494, 728, 1490, 2972, 3483, 4553, 6088, 6244, 8268, 1067, 1767, 2455, 3892, 4669, 6125, 6945, 7524, 804, 1499, 3008, 3680, 4181, 5702, 6809, 8260, 935, 1945, 3098, 3866, 4470, 6195, 6972, 8179, 617, 1874, 2473, 3407, 4663, 5944, 6604, 7825, 475, 2065, 2746, 3908, 4435, 5438, 7084, 7807, 617, 1475, 2988, 3240, 4192, 5865, 7058, 8260, 403, 2127, 2845, 3364, 5083, 5963, 6265, 7876, 1025, 1363, 2863, 3885, 4890, 5687, 7003, 7453, 528, 2079, 2561, 3882, 4368, 5386, 7094, 7625, 887, 2126, 2507, 3706, 5193, 6077, 6820, 7395, 299, 1971, 2332, 4073, 4497, 5631, 7024, 8224, 691, 1962, 2550, 3313, 4749, 5899, 6391, 7712, 317, 1761, 2190, 3728, 4682, 5296, 6486, 8200, 654, 1826, 3004, 3807, 4666, 5641, 6607, 7657, 225, 1326, 2938, 3987, 4993, 5241, 6607, 7563, 228, 1851, 3040, 3886, 4644, 5719, 7201, 7477, 228, 1345, 2316, 4113, 5159, 5901, 6338, 8126, 225, 1806, 2636, 4005, 5166, 6075, 6715, 7430, 256, 1468, 3026, 4011, 5060, 6081, 7024, 8126, 617, 1490, 2370, 4003, 4630, 5580, 6988, 7962, 153, 1490, 2969, 3680, 5120, 6149, 6657, 7643, 132, 1961, 2340, 3732, 4870, 6063, 6752, 7966, 955, 1981, 2254, 4174, 5166, 5844, 6980, 7398, 685, 1763, 2755, 3882, 4852, 5247, 6521, 7825, 1067, 1499, 2171, 4100, 4748, 5678, 7217, 8189, 569, 1499, 2151, 4030, 4515, 5216, 6714, 7809, 1008, 1332, 2688, 3998, 4278, 5839, 6898, 8089, 536, 1453, 2737, 3850, 4337, 5862, 7221, 8085, 1038, 1555, 3033, 4070, 5100, 5204, 6463, 7486, 876, 1510, 2801, 3363, 4267, 6201, 6309, 8051, 487, 1211, 2678, 3368, 4878, 6086, 6998, 7510, 994, 1397, 2203, 3350, 4755, 5643, 6663, 8240, 487, 1403, 2566, 3837, 4604, 5570, 6816, 7474, 737, 1948, 2250, 3172, 4635, 6117, 6730, 8173, 314, 1550, 2564, 3465, 5031, 5827, 6848, 7779, 807, 2024, 2309, 3358, 4351, 5721, 7198, 8230, 397, 1755, 2529, 3476, 4335, 6125, 6603, 7524, 987, 1281, 2221, 4003, 4996, 5485, 6695, 7973, 103, 1400, 2221, 4168, 4228, 5573, 6615, 7948, 914, 1508, 3021, 3361, 5166, 5705, 6996, 7887, 1099, 1886, 3128, 3931, 5165, 5832, 6235, 7664, 105, 2064, 3147, 4026, 5083, 5824, 7127, 8126, 568, 1564, 2554, 3188, 4423, 5981, 7160, 7732, 757, 1564, 2791, 4166, 4186, 5880, 7044, 7631, 555, 1147, 3040, 3886, 4387, 5767, 7239, 7557, 488, 1147, 3117, 3914, 4704, 5963, 7077, 7723, 201, 1528, 2806, 4018, 4630, 6139, 7084, 8237, 488, 2017, 2806, 3893, 4624, 6139, 7084, 8185, 488, 2017, 2806, 4071, 4624, 6081, 7006, 7766, 488, 1622, 2914, 3825, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6186, 7226, 8223, 488, 1528, 2164, 3893, 4624, 6186, 7226, 8223, 915, 2017, 2164, 3914, 4870, 6186, 7120, 7723, 915, 1648, 2833, 3914, 4798, 5901, 7120, 7766, 915, 1622, 2833, 3914, 4512, 5892, 6996, 7766, 915, 2111, 2914, 3374, 4798, 5635, 6794, 8080, 488, 1622, 3065, 3891, 4624, 6139, 6794, 8080, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 2017, 3065, 3367, 4624, 5635, 6794, 8196, 308, 1620, 2949, 3909, 4589, 5612, 7201, 8260, 778, 1683, 3060, 3649, 5189, 6024, 6265, 8213, 767, 2064, 2189, 3463, 4822, 5740, 7003, 7999, 404, 1290, 2655, 3556, 4709, 5873, 7222, 7383, 1064, 2027, 2552, 3283, 4346, 5519, 7025, 8263, 458, 1509, 2514, 3551, 4983, 5442, 7086, 8045, 1017, 1498, 2692, 3672, 4376, 5286, 6315, 8270, 458, 1858, 2692, 3745, 4288, 6074, 6599, 7536, 277, 1855, 2658, 3993, 4675, 6180, 6523, 7590, 864, 1478, 2794, 3227, 4978, 5719, 6293, 8006, 1067, 2095, 2490, 3582, 4783, 5378, 6265, 7480, 547, 1419, 2923, 3556, 4986, 5873, 7107, 8081, 150, 1641, 3149, 4102, 4931, 6106, 6860, 7279, 1025, 1592, 2257, 3929, 4764, 6026, 7232, 8192, 271, 2088, 2144, 4143, 4895, 6174, 6842, 7677, 1025, 1370, 2728, 3480, 4576, 5802, 7221, 7920, 390, 1791, 2925, 4171, 4781, 5840, 7095, 7264, 424, 1675, 3110, 3220, 5088, 5832, 6852, 8266, 1005, 1827, 2838, 4039, 4634, 5731, 7230, 7641, 1005, 1296, 3092, 3973, 4195, 5841, 6799, 7781, 936, 1141, 2801, 4096, 4267, 5398, 6827, 7378, 936, 1958, 2232, 3832, 5157, 6016, 6528, 8069, 786, 1942, 2490, 3353, 4273, 6168, 7106, 7983, 363, 1121, 2826, 3551, 4882, 6187, 6632, 8149, 103, 1692, 2842, 3329, 4795, 6217, 6708, 8207, 231, 2033, 2421, 3873, 4576, 6063, 6719, 7873, 356, 2000, 2542, 3945, 4622, 5344, 6551, 7442, 105, 1876, 2326, 3916, 5159, 5573, 7079, 8078, 105, 1620, 2709, 4125, 4912, 5457, 6612, 8230, 105, 1458, 3008, 3374, 4822, 5296, 7239, 8147, 183, 2127, 2941, 4113, 4844, 5296, 6646, 7485, 225, 2034, 2349, 3723, 5079, 5296, 7160, 7476, 518, 1623, 2992, 3407, 5159, 6149, 6848, 7908, 518, 1623, 2560, 4092, 4307, 5963, 6277, 7717, 256, 2002, 2469, 3994, 4985, 6137, 6338, 7437, 225, 1424, 3147, 3341, 5079, 5630, 7207, 8179, 228, 2111, 2880, 3413, 5157, 5548, 6584, 7677, 419, 2065, 2278, 3777, 5142, 5503, 7090, 8261, 555, 2078, 2833, 3891, 4549, 5549, 6996, 7260, 555, 2065, 2542, 4071, 4681, 5493, 6996, 7677, 555, 2078, 3021, 3516, 4980, 5677, 7129, 7766, 391, 1567, 2863, 3680, 5088, 6129, 6639, 8237, 83, 2059, 2826, 3251, 4441, 5449, 6757, 7524, 1006, 2070, 2521, 3422, 4477, 6016, 6719, 7473, 731, 1893, 2958, 3840, 4561, 6030, 6733, 7881, 391, 1685, 2846, 3973, 4925, 5245, 6694, 7750, 138, 1633, 2891, 3318, 4994, 5216, 7069, 7530, 408, 1269, 2144, 3457, 5193, 5246, 6953, 7641, 408, 1640, 2846, 3292, 5193, 5850, 6551, 7260, 204, 2056, 2312, 4103, 4556, 5245, 7069, 8240, 280, 1303, 2585, 3376, 5106, 5465, 7064, 7846, 1040, 1409, 2923, 3399, 5124, 5411, 7222, 7657, 1089, 2094, 2789, 4046, 5124, 5321, 6685, 8048, 1017, 1559, 2719, 3227, 4448, 5900, 7002, 8010, 404, 1950, 2137, 3623, 4537, 5863, 6491, 8269, 582, 2094, 2667, 3227, 4858, 5772, 6225, 7633, 333, 1339, 3091, 3752, 4672, 5649, 6456, 7336, 722, 1212, 3091, 3227, 4305, 5862, 6319, 8031, 333, 2126, 2794, 3227, 5018, 6221, 6928, 7532, 778, 2027, 3091, 3930, 4419, 5265, 7069, 7500, 641, 2089, 2426, 3245, 4537, 6190, 7038, 7929, 1067, 1389, 2923, 3227, 5003, 5321, 6367, 7435, 1067, 1877, 2311, 3227, 4277, 5829, 6303, 8159, 938, 1480, 2749, 3251, 5179, 6222, 6432, 7578, 864, 1717, 2311, 4082, 5168, 6106, 6830, 8064, 784, 1858, 2885, 4098, 4445, 5836, 6734, 7881, 504, 1685, 2534, 3395, 4574, 5858, 6736, 7951, 1025, 1858, 2963, 3395, 5098, 5866, 6980, 7311, 390, 1867, 2803, 3488, 4282, 5832, 6850, 7264, 308, 1175, 2980, 4171, 4622, 5761, 7207, 7557, 684, 1562, 2797, 3975, 5139, 5378, 6988, 7806, 804, 1791, 3022, 3866, 4551, 6085, 7207, 8054, 308, 2000, 3043, 4145, 4276, 6129, 7157, 7948, 1079, 1218, 2167, 4145, 4433, 5493, 6646, 7256, 512, 2041, 3064, 3982, 5139, 5705, 7207, 7876, 956, 1963, 2167, 3188, 4622, 6211, 6668, 8267, 915, 2041, 3128, 4170, 4822, 6129, 6809, 7949, 818, 2000, 2164, 3893, 4704, 6129, 7006, 7766, 488, 2017, 3110, 3893, 4624, 6085, 6794, 8147, 818, 2017, 3110, 3893, 4624, 6186, 6979, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7124, 7949, 419, 1468, 3062, 4166, 4437, 5963, 6612, 8126, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7226, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 818, 2041, 2947, 4018, 4366, 6211, 6972, 8237, 731, 1577, 2838, 3540, 4287, 5832, 6677, 7723, 802, 1587, 2677, 4134, 4633, 5968, 6796, 8083, 970, 1296, 2847, 3667, 4533, 5479, 6478, 7768, 386, 1333, 2661, 3302, 5108, 5373, 6612, 7513, 862, 1317, 2794, 3398, 4807, 5286, 6848, 7906, 868, 1586, 2514, 4162, 5151, 6177, 7017, 7386, 491, 1829, 2566, 3799, 4989, 5441, 6484, 7520, 448, 2059, 3119, 3305, 4664, 5441, 6414, 7908, 613, 1550, 2718, 3358, 5074, 5594, 6377, 8238, 390, 1550, 2870, 3915, 5091, 5788, 7239, 7808, 984, 1459, 2946, 3990, 4427, 6195, 6608, 7920, 859, 2020, 3006, 3873, 4619, 5340, 7010, 7876, 555, 1876, 3095, 3188, 5166, 6051, 7207, 7806, 967, 1304, 2709, 3271, 5159, 5875, 6272, 7584, 293, 1684, 2180, 3610, 4271, 6084, 6895, 7844, 579, 1479, 2339, 3252, 4709, 5960, 7084, 7542, 579, 1111, 2730, 3875, 4775, 5436, 6505, 8125, 171, 1856, 3026, 3352, 5135, 5859, 7237, 7580, 731, 1986, 2655, 3305, 4590, 5536, 6313, 7494, 975, 2059, 2655, 3224, 4454, 5964, 7016, 7839, 574, 1468, 2655, 3456, 4254, 5793, 7200, 7502, 1080, 1655, 2764, 3618, 4298, 5964, 6431, 8028, 498, 1655, 2983, 3417, 4760, 6220, 6674, 7777, 748, 1996, 3073, 3456, 4897, 5256, 6829, 7828, 748, 1585, 2881, 3739, 4711, 5678, 6498, 8045, 730, 1479, 2693, 3269, 4469, 5847, 7175, 7574, 736, 1962, 2815, 4137, 4811, 5852, 7035, 8225, 1017, 1881, 2695, 3623, 5124, 5857, 6811, 7839, 662, 1785, 2789, 3309, 4678, 5616, 6254, 7621, 1088, 1557, 2360, 3672, 4727, 5865, 6706, 7260, 512, 1509, 2874, 3855, 4877, 5650, 6646, 7570, 571, 1886, 2959, 3430, 5088, 5413, 6765, 7641, 1080, 2118, 2550, 3605, 4664, 6112, 7086, 7770, 1036, 1286, 3097, 3251, 4691, 5952, 6678, 7894, 1101, 1548, 2271, 4003, 4671, 5344, 6991, 8070, 643, 1918, 3066, 3751, 5193, 6086, 6848, 7442, 1022, 1821, 2987, 4072, 5128, 5743, 7086, 8259, 833, 1581, 3006, 3481, 5088, 5651, 6920, 8211, 419, 1845, 3006, 3929, 4529, 5477, 6752, 7537, 878, 1817, 2457, 3916, 4443, 5610, 6755, 7483, 4, 2 ]

[ 1, 57, 52, 30, 5, 50, 14, 51, 5, 76, 11, 78, 5, 42, 20, 54, 5, 66, 73, 5, 66, 39, 51, 5, 43, 45, 78, 5, 62, 52, 39, 64, 5, 76, 45, 31, 5, 31, 16, 5, 42, 63, 39, 66, 5, 43, 45, 63, 56, 78, 5, 17, 75, 5, 31, 16, 5, 62, 14, 64, 66, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6149, 6889, 8077, 337, 1851, 2970, 3987, 4329, 5901, 6474, 7563, 531, 1581, 3112, 3478, 4865, 6015, 6403, 7646, 436, 1938, 2368, 3808, 4552, 6135, 6470, 7613, 875, 1469, 2132, 4130, 4531, 5725, 6592, 7409, 277, 1938, 2246, 3404, 4511, 5205, 6464, 7613, 277, 1768, 2965, 3294, 4776, 5488, 6546, 8139, 487, 1393, 2849, 3755, 5092, 5591, 7227, 7926, 608, 1633, 3078, 4091, 4273, 5823, 6998, 7505, 299, 2026, 2578, 3498, 4494, 5501, 6267, 7371, 443, 2026, 2224, 4091, 4389, 5318, 6315, 7408, 608, 2089, 2986, 3509, 4416, 5414, 6693, 7805, 807, 2043, 2519, 4053, 4310, 5596, 7164, 8026, 150, 1129, 2800, 3517, 4855, 6118, 6746, 7988, 993, 2043, 2373, 3936, 5191, 5315, 6558, 7796, 1029, 1740, 3066, 3957, 4738, 5980, 7114, 7735, 645, 1918, 2975, 3233, 4918, 5565, 6865, 7605, 308, 1624, 2486, 3732, 4782, 5771, 6240, 7279, 211, 2013, 2895, 4026, 4588, 5960, 7047, 7764, 489, 2079, 3112, 3987, 4954, 5223, 6923, 7707, 874, 1706, 2980, 3347, 4225, 6063, 6992, 7906, 397, 1460, 2172, 3190, 4913, 5709, 6903, 7533, 880, 1570, 2149, 3936, 4941, 5771, 6403, 7385, 826, 1732, 2349, 3864, 4795, 5610, 6967, 8253, 443, 1639, 2891, 3547, 5192, 5255, 6915, 7680, 1019, 1930, 2378, 3560, 5154, 5459, 7051, 7435, 943, 1286, 2741, 3843, 5050, 5839, 6306, 8253, 604, 1672, 2751, 3323, 5031, 5341, 6875, 8058, 1039, 1303, 2751, 4037, 4937, 5671, 6911, 8058, 810, 2009, 2628, 3543, 4818, 5585, 6684, 8143, 739, 1520, 3116, 3770, 4668, 5231, 6532, 7650, 810, 1592, 2807, 3368, 4751, 5380, 6978, 7629, 966, 1630, 2487, 3421, 4561, 5750, 7223, 8054, 737, 1397, 2355, 3690, 4884, 5810, 7033, 7946, 1101, 1561, 2700, 3323, 4604, 5539, 6846, 7902, 103, 1850, 2918, 3366, 4812, 5762, 6753, 7841, 552, 2097, 2315, 3181, 4895, 5767, 6566, 7485, 967, 1998, 2820, 3812, 4447, 5844, 6612, 7676, 967, 1147, 2803, 3277, 5135, 5438, 6639, 7291, 967, 1998, 2729, 3681, 4622, 5796, 6229, 7485, 1015, 1752, 2661, 3760, 4537, 5353, 6715, 7811, 450, 1856, 2880, 3513, 4918, 5919, 6980, 7290, 373, 1333, 3064, 4135, 4447, 6000, 6891, 7500, 895, 1587, 2383, 3252, 4543, 6213, 6242, 8256, 266, 1624, 2655, 3315, 4599, 5454, 7149, 7798, 314, 1402, 2491, 3938, 4860, 5300, 7148, 7954, 1023, 2059, 3037, 3937, 4731, 5269, 6224, 7263, 918, 2059, 2568, 3239, 4270, 5648, 7064, 7365, 1101, 2048, 2867, 3695, 4464, 5870, 6865, 7466, 576, 1276, 2436, 3599, 4592, 6147, 6768, 7899, 1014, 1826, 2456, 3723, 5096, 5408, 7182, 7313, 1014, 2107, 3000, 4166, 4859, 6175, 7094, 7677, 228, 1153, 2561, 3301, 4828, 5719, 6486, 7616, 171, 1308, 2614, 3819, 4849, 5796, 6671, 7538, 1099, 1845, 2880, 3886, 4627, 6211, 7152, 8179, 1099, 1945, 2960, 4150, 4555, 5963, 7218, 7876, 510, 1998, 3110, 3983, 4555, 5968, 6612, 7677, 617, 1320, 2792, 3726, 4727, 5534, 7002, 7678, 952, 1198, 2791, 3430, 5110, 5737, 6890, 8049, 716, 1777, 2762, 3861, 4732, 5863, 7160, 7712, 896, 1655, 2727, 3394, 4195, 5594, 7072, 7712, 270, 1740, 2429, 3356, 4702, 5671, 6224, 8137, 458, 1740, 2956, 3329, 4416, 5656, 6474, 7846, 1017, 1301, 3010, 3239, 4492, 6135, 6478, 7571, 966, 1302, 2274, 3452, 4364, 6040, 6741, 7710, 1017, 1183, 2956, 3727, 4187, 5224, 6311, 8163, 508, 1630, 2812, 4036, 4506, 5566, 6725, 7538, 296, 1183, 2842, 3290, 4896, 5437, 6592, 7248, 763, 1183, 3047, 3369, 4657, 5709, 6592, 7435, 472, 1183, 2933, 4044, 4933, 5598, 6976, 7478, 1101, 1183, 2680, 3411, 4761, 6154, 7083, 7622, 1066, 1926, 2346, 3604, 4299, 5315, 6476, 7986, 738, 1529, 2203, 3683, 4339, 5461, 6963, 7886, 320, 1146, 3034, 3967, 5084, 5982, 6918, 7833, 884, 1940, 3034, 3442, 4678, 5454, 6350, 7687, 1025, 1309, 2948, 3524, 4502, 5223, 6944, 7869, 113, 1728, 2311, 3754, 4200, 6058, 6663, 7902, 1057, 1674, 2258, 3154, 4639, 5385, 6505, 7586, 1057, 1674, 2348, 4099, 5195, 6175, 6309, 7979, 887, 1831, 2481, 3961, 4364, 5565, 6487, 8195, 850, 1676, 2492, 4082, 4311, 5573, 6884, 7260, 778, 1633, 2891, 3979, 4858, 5642, 6550, 8032, 1090, 1146, 2750, 4114, 5129, 5784, 6830, 7476, 1037, 1175, 2798, 3649, 4918, 5702, 7207, 8185, 914, 1943, 2838, 3932, 5106, 6182, 6515, 8083, 914, 1660, 2932, 3645, 4583, 5630, 6776, 8083, 617, 1910, 3147, 3866, 4387, 5883, 6515, 7960, 195, 1695, 2466, 3961, 4289, 6048, 7002, 8137, 115, 1283, 2614, 3521, 4345, 6075, 6982, 7660, 535, 1820, 2897, 3741, 5070, 5790, 6603, 7927, 1040, 1969, 2188, 3446, 4321, 5273, 6234, 7980, 902, 1440, 2552, 4037, 4308, 5793, 6881, 8098, 308, 1787, 2941, 3188, 5157, 5963, 7100, 8132, 914, 2046, 2238, 3391, 4890, 5661, 6884, 8261, 1097, 1218, 3008, 3201, 5060, 5210, 6515, 7677, 419, 1791, 3135, 3201, 4589, 6205, 6604, 7811, 225, 1108, 2287, 3662, 5079, 5797, 7230, 7303, 654, 1620, 2251, 3407, 4859, 6057, 7100, 7913, 699, 2032, 3147, 3879, 4673, 5556, 6612, 7718, 1020, 2118, 2656, 3391, 4247, 5821, 6547, 7865, 356, 1684, 2469, 3440, 4775, 5439, 6604, 7275, 1102, 1807, 2381, 4135, 4329, 5802, 6584, 8213, 1052, 1347, 2902, 3239, 4815, 5792, 6456, 7911, 660, 2003, 2312, 3850, 4539, 5294, 6536, 8168, 902, 1607, 2988, 3508, 4540, 5204, 7140, 7724, 620, 1942, 2432, 3545, 4855, 5823, 7229, 8130, 487, 2091, 2470, 4153, 4459, 5588, 6437, 8139, 103, 1280, 2149, 3592, 4651, 5810, 6813, 7652, 308, 1167, 2542, 3560, 4329, 6051, 6234, 7896, 804, 1886, 2422, 3352, 4437, 5678, 6343, 7557, 308, 1874, 2941, 4166, 4688, 5672, 7160, 7876, 419, 1992, 3147, 3866, 5083, 5296, 7100, 7570, 105, 1889, 2925, 3771, 4555, 6063, 6918, 8164, 756, 2008, 2943, 3692, 5160, 5438, 7157, 8128, 752, 1330, 2701, 3710, 4555, 6222, 7127, 7919, 936, 1942, 2419, 3939, 4543, 5835, 6240, 7992, 113, 1118, 3066, 3949, 5019, 5548, 6267, 8266, 952, 1397, 2474, 3755, 5115, 5641, 6663, 7960, 1059, 2067, 3033, 3445, 4983, 6118, 6872, 7624, 225, 2125, 2897, 3511, 4224, 5719, 6265, 7397, 225, 1620, 2244, 4139, 4592, 5705, 6965, 7939, 654, 2030, 2554, 3949, 4775, 6146, 6840, 7602, 818, 2000, 2560, 3951, 4681, 5296, 6265, 8083, 818, 1622, 2991, 3595, 5166, 5296, 6889, 8267, 818, 1622, 3065, 3595, 5058, 6081, 6996, 8260, 915, 1528, 2806, 3188, 5038, 5968, 6709, 8267, 915, 2017, 3110, 3825, 4704, 5210, 6515, 7485, 878, 1964, 2754, 4027, 5120, 5548, 7069, 8205, 541, 1865, 3021, 3352, 5150, 5410, 6483, 8179, 105, 1623, 3038, 4145, 4387, 5677, 7237, 8147, 959, 1503, 3098, 3671, 4912, 5493, 6752, 7384, 1033, 1199, 2356, 3975, 4470, 5796, 6968, 8089, 277, 1850, 2790, 3448, 5110, 6033, 6965, 8181, 137, 1828, 2373, 3506, 4426, 5465, 7198, 7711, 803, 1435, 3088, 3635, 5110, 5823, 7172, 7669, 807, 1283, 2609, 3548, 4636, 5468, 6980, 7955, 487, 1350, 2210, 3939, 5151, 6076, 7142, 7927, 1057, 2053, 2327, 3968, 4321, 5580, 7041, 8061, 778, 1806, 2751, 3776, 4920, 5549, 7060, 8079, 986, 1306, 2595, 4096, 4804, 5462, 6265, 7962, 103, 1700, 2941, 3776, 4942, 5512, 6413, 8248, 228, 1918, 2988, 3470, 4993, 5320, 6281, 8128, 225, 1930, 3032, 3298, 4611, 6086, 7075, 7318, 654, 1930, 2529, 3723, 4923, 5492, 6884, 7856, 568, 1547, 2609, 3231, 4988, 5536, 6768, 8008, 171, 1806, 2293, 4006, 5183, 5548, 6876, 8066, 484, 1620, 3064, 3891, 5038, 5935, 6579, 7887, 475, 2073, 2803, 4068, 5061, 5844, 6752, 7716, 1099, 2000, 2989, 4006, 4583, 6205, 6840, 8132, 211, 1668, 2936, 3226, 4782, 6063, 6892, 7918, 1033, 1682, 3085, 3743, 4555, 5802, 6850, 7644, 536, 1655, 2232, 4079, 5188, 5334, 6415, 8028, 776, 1560, 2975, 3668, 5142, 5617, 6403, 7470, 684, 2046, 2947, 4171, 4912, 5216, 6809, 8185, 804, 1933, 2803, 3982, 5166, 5883, 6786, 7908, 901, 1496, 2139, 3916, 4918, 5561, 7173, 7875, 410, 1635, 2703, 3552, 4536, 5341, 6291, 8214, 150, 1171, 2923, 3897, 5127, 5565, 6349, 7873, 443, 2059, 2867, 3788, 4683, 5734, 6856, 8019, 424, 1826, 3142, 3582, 4448, 5483, 6269, 7931, 804, 1915, 2783, 3487, 4374, 5694, 6668, 7421, 1056, 1881, 2996, 3671, 5061, 5883, 7084, 8261, 308, 1791, 2947, 3710, 5038, 6063, 7239, 7557, 804, 1705, 2895, 4150, 5080, 6103, 6786, 7949, 308, 1705, 2947, 3886, 5058, 6007, 7058, 8185, 100, 1937, 2818, 3987, 4580, 5348, 6722, 8162, 614, 1141, 2998, 3975, 4358, 5433, 7184, 7739, 993, 1455, 2389, 3304, 4777, 5965, 6360, 8169, 443, 1145, 2432, 3792, 4595, 5874, 7003, 7508, 875, 1758, 2190, 3455, 4352, 5774, 6422, 7551, 1019, 1496, 2260, 3687, 5000, 5938, 6625, 7817, 884, 1640, 2506, 3755, 4598, 5631, 6348, 7490, 582, 1485, 2789, 3316, 4205, 5464, 7072, 8178, 986, 1692, 2799, 3741, 4664, 5643, 7147, 8022, 986, 1700, 2751, 3300, 4308, 5352, 7232, 7660, 1090, 1942, 2272, 3756, 4670, 5550, 7017, 8237, 610, 1640, 2309, 3424, 4954, 5923, 6593, 8163, 804, 1876, 2369, 3870, 4435, 6014, 6515, 7873, 308, 1791, 2925, 3827, 5088, 6129, 6810, 7887, 356, 1817, 2222, 4113, 4949, 5694, 6967, 7355, 183, 1851, 3006, 3664, 4993, 6137, 6677, 7555, 1079, 1333, 2858, 3918, 4622, 5650, 6810, 7336, 308, 2008, 3144, 4170, 5138, 5832, 6908, 7732, 709, 1623, 3149, 3376, 5138, 6146, 6799, 7948, 715, 1289, 3080, 3838, 5138, 5515, 6515, 8061, 211, 1550, 3147, 3515, 4700, 5474, 7218, 7945, 844, 1669, 2783, 3749, 4802, 5443, 6864, 7563, 1040, 1858, 2751, 3347, 4457, 6111, 6639, 8189, 462, 1289, 2751, 3769, 5074, 5619, 6485, 7778, 536, 1291, 3033, 3741, 5151, 5864, 7144, 8210, 536, 1834, 2503, 3340, 4804, 5443, 7163, 7987, 299, 1388, 2751, 3812, 4427, 5417, 7222, 7878, 299, 1586, 2751, 4095, 5074, 5987, 6567, 7693, 299, 1510, 2503, 3777, 4843, 5512, 6954, 7563, 536, 1758, 2312, 4079, 4440, 5727, 7056, 7458, 104, 1189, 2436, 3857, 4267, 5323, 6601, 7737, 1005, 1477, 2868, 3428, 4933, 5549, 6831, 7636, 993, 1600, 2389, 4030, 4457, 5474, 6311, 7920, 1057, 2048, 2142, 3748, 4934, 6213, 7140, 7367, 277, 1674, 2348, 3290, 4911, 5700, 6939, 7733, 864, 1674, 2369, 3434, 4323, 5632, 6613, 7273, 1022, 1990, 2741, 3239, 4543, 5613, 6258, 7844, 1008, 2079, 2536, 3605, 4555, 5523, 7110, 8028, 271, 1608, 3095, 3986, 4579, 5344, 6913, 7875, 1025, 1874, 2946, 3986, 4589, 5325, 6569, 7620, 1057, 2056, 2506, 3649, 5100, 5266, 6224, 8061, 778, 1141, 2506, 3669, 4541, 6190, 6706, 7962, 752, 1944, 2163, 3850, 4745, 6002, 6783, 8060, 952, 1972, 2268, 3635, 4985, 6181, 6486, 8267, 317, 2105, 2940, 3358, 4437, 5368, 7202, 7519, 225, 1182, 2875, 3413, 4646, 5810, 6605, 7700, 317, 1540, 2566, 3464, 5020, 6015, 6296, 7709, 576, 2125, 2250, 3788, 4399, 5624, 6938, 7822, 113, 1299, 3049, 3951, 4705, 5431, 7220, 7906, 895, 1421, 2429, 3456, 4670, 5874, 6313, 7367, 360, 2033, 2429, 3262, 4995, 6054, 6977, 7675, 1067, 1119, 2602, 3986, 4444, 5288, 6870, 7454, 1084, 1919, 2515, 4036, 4891, 5827, 6651, 7557, 776, 1146, 2515, 4147, 4816, 6020, 6939, 7503, 1056, 1175, 3151, 3462, 4763, 5678, 6256, 8159, 510, 2125, 2996, 3188, 5020, 5687, 7162, 8185, 288, 1467, 2330, 3918, 4782, 5340, 6820, 8132, 804, 1933, 2473, 3188, 4589, 5963, 6668, 7717, 857, 1851, 2975, 3994, 4757, 5962, 7103, 7898, 143, 1403, 3098, 3669, 4427, 6160, 6646, 7260, 271, 2073, 2728, 3701, 4688, 5704, 6892, 7465, 344, 2009, 2207, 3233, 4501, 5665, 6255, 7798, 277, 2009, 2309, 4099, 4419, 5585, 6999, 7266, 424, 1146, 2515, 3418, 4980, 5338, 6321, 7811, 1097, 1467, 2996, 3602, 5038, 5832, 7207, 7720, 818, 2000, 3128, 3990, 5129, 6211, 6892, 7949, 1099, 2000, 3006, 3932, 5129, 6129, 6996, 7949, 935, 1874, 3043, 3982, 5061, 5661, 7058, 8267, 555, 1998, 3007, 3932, 5150, 5485, 6589, 7806, 617, 1998, 3144, 3613, 5192, 5276, 7129, 8016, 484, 1623, 3135, 3662, 4925, 6129, 7239, 7949, 484, 1998, 2925, 4170, 4551, 5436, 7207, 7524, 1071, 1141, 2959, 3226, 4512, 6146, 7207, 7421, 1067, 1797, 3132, 3593, 5084, 5471, 6873, 8085, 360, 1267, 2309, 3813, 4279, 5325, 6307, 8131, 884, 2065, 2930, 3394, 4759, 5535, 6726, 8154, 884, 1785, 2346, 3979, 4880, 5325, 6851, 7521, 840, 2065, 2346, 3422, 4899, 5975, 6911, 8046, 1062, 1410, 2346, 3874, 5087, 5572, 6717, 7513, 113, 2059, 2844, 3332, 4236, 5440, 6376, 8163, 981, 2059, 2465, 3623, 5096, 5860, 6790, 8077, 641, 1490, 2946, 3171, 4945, 6141, 7166, 8061, 1084, 1653, 2791, 3250, 4308, 5512, 7143, 7712, 639, 2065, 2532, 3361, 4364, 5765, 7140, 7962, 691, 2059, 2724, 3943, 5054, 5663, 7140, 7849, 610, 1557, 2688, 3516, 4205, 5706, 7010, 7708, 955, 1171, 2998, 4145, 4867, 5443, 6958, 7341, 899, 1540, 3144, 4085, 4622, 5385, 6338, 7870, 225, 1918, 3032, 3746, 4882, 5890, 6899, 8117, 225, 2060, 2775, 3798, 5135, 5795, 7152, 7949, 225, 2060, 2775, 3394, 4877, 5865, 7152, 7485, 228, 2111, 2341, 3770, 4193, 5582, 6996, 7965, 228, 1750, 3133, 4125, 4398, 5514, 7006, 8130, 240, 2078, 3021, 3552, 5168, 5830, 6752, 7677, 228, 1750, 2860, 4113, 5138, 5385, 6752, 7677, 256, 1750, 2554, 3595, 4555, 5413, 6589, 7664, 789, 1756, 2970, 3376, 5160, 5241, 7232, 7303, 789, 2127, 3133, 4071, 4715, 5223, 7207, 7476, 256, 1750, 3133, 4145, 5079, 5942, 7006, 7563, 256, 2127, 2659, 3470, 4762, 5550, 6612, 7706, 105, 1961, 2833, 4153, 4859, 5678, 6338, 7715, 915, 2111, 2970, 3470, 4704, 5963, 7098, 8080, 201, 2017, 2914, 3367, 4870, 6139, 6589, 8237, 860, 1528, 2806, 3825, 4624, 6139, 6794, 8223, 201, 1528, 2806, 3825, 4624, 6139, 6794, 8223, 142, 1528, 2806, 3825, 4704, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 3065, 3914, 4512, 6186, 6515, 7723, 915, 2111, 3021, 4168, 4681, 5219, 7098, 7949, 915, 1648, 2806, 3374, 4704, 5241, 6752, 7485, 915, 1648, 3147, 4068, 4870, 5677, 7077, 8076, 555, 1876, 2833, 3891, 4512, 5534, 7124, 7732, 555, 1468, 2833, 3374, 5088, 5241, 7120, 8126, 4, 2 ]

[ 1, 26, 5, 30, 33, 63, 5, 64, 39, 5, 65, 48, 5, 62, 69, 66, 5, 31, 45, 64, 5, 52, 14, 41, 5, 44, 54, 66, 73, 5, 43, 45, 53, 5, 5, 3, 945, 1528, 2806, 4068, 4888, 6211, 6794, 8147, 860, 2017, 2806, 3893, 4704, 6081, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 555, 2073, 3143, 4113, 4888, 5219, 7006, 8223, 1059, 1865, 2771, 3903, 4713, 5610, 6820, 7634, 145, 1828, 2374, 3185, 4707, 5632, 6403, 7503, 442, 1865, 3029, 3544, 4707, 5640, 6669, 8232, 1070, 2008, 2378, 3958, 4663, 6117, 6411, 7503, 835, 1724, 2725, 4003, 4275, 6088, 6603, 7903, 672, 1958, 2343, 3875, 4421, 5381, 6666, 8186, 1038, 1732, 2610, 3421, 4677, 5794, 7030, 7983, 1056, 1186, 2865, 3818, 4748, 5390, 6719, 7776, 288, 1146, 2679, 4011, 5073, 5899, 6515, 8205, 779, 1349, 2391, 3544, 4606, 5981, 6901, 7838, 390, 2046, 3109, 3175, 5183, 5204, 6716, 7895, 1020, 1403, 2221, 3697, 4450, 5706, 6642, 8235, 826, 1397, 3003, 3393, 4702, 5662, 7065, 7878, 896, 1695, 3029, 3398, 4206, 5280, 6869, 7869, 896, 1695, 2927, 3562, 4495, 6154, 6663, 7817, 964, 1397, 2154, 3341, 5128, 5548, 6414, 8268, 876, 1635, 2260, 3986, 4235, 5629, 7102, 7349, 1019, 2084, 2692, 3714, 5134, 6170, 6760, 7266, 491, 1728, 2146, 4161, 5124, 5560, 6680, 7646, 1041, 2009, 2378, 3631, 4959, 6107, 6561, 8061, 535, 2109, 2863, 3547, 5015, 5560, 6348, 7836, 840, 2099, 2751, 3434, 4385, 5588, 6318, 7939, 404, 2036, 2156, 3493, 4791, 5449, 6833, 7542, 344, 1918, 2597, 3641, 4855, 6042, 6828, 7739, 759, 1821, 2741, 3759, 4636, 5965, 6610, 7973, 1102, 1669, 2629, 3261, 4918, 5981, 7154, 7312, 225, 2111, 3059, 3746, 4991, 5931, 6291, 8079, 195, 2118, 2852, 3206, 4777, 6166, 6256, 7781, 195, 1424, 2554, 3337, 5167, 6149, 6393, 8022, 654, 1468, 2796, 4125, 4862, 5514, 7024, 8107, 518, 1756, 2565, 3812, 5104, 5413, 6909, 7732, 518, 1575, 2181, 3674, 4344, 5413, 7082, 7806, 518, 1750, 2565, 3891, 4486, 5873, 7132, 7706, 859, 1304, 2946, 3586, 4398, 5778, 6755, 8236, 676, 1555, 2709, 3943, 4221, 5957, 6536, 7262, 611, 1283, 2848, 3756, 4697, 5980, 6905, 7932, 1078, 1958, 2553, 3448, 4827, 5861, 6805, 7615, 994, 1706, 2958, 3270, 4292, 5560, 6789, 7955, 221, 2036, 2974, 3609, 5097, 5276, 6939, 8082, 1019, 1630, 2327, 3600, 4205, 5830, 7126, 8149, 1040, 2070, 2751, 3417, 4755, 5651, 7072, 7727, 443, 1388, 2751, 3300, 5184, 5800, 6328, 7955, 299, 1550, 2751, 3434, 5135, 6125, 6995, 7524, 536, 1808, 3101, 3741, 4277, 5522, 6828, 7977, 104, 1942, 2330, 3842, 4542, 5341, 6719, 7679, 231, 1809, 3141, 3307, 5081, 5482, 6772, 8016, 118, 1597, 2944, 4130, 5080, 5918, 6840, 7828, 225, 1623, 2750, 3827, 5120, 5771, 7237, 7956, 334, 1924, 2718, 3917, 4881, 5873, 6566, 7865, 334, 1867, 2718, 3304, 5020, 5666, 7162, 7723, 334, 1700, 2181, 3885, 5079, 5493, 6651, 7717, 568, 1633, 2454, 3914, 4801, 5397, 7103, 7732, 757, 1633, 3021, 3838, 4877, 5515, 6979, 8080, 859, 1623, 2980, 3662, 4877, 5436, 6709, 8083, 767, 1305, 2895, 3771, 4935, 6130, 7157, 8188, 271, 1692, 3116, 4103, 4594, 6010, 6529, 7462, 807, 1403, 3020, 3970, 4298, 5938, 6663, 7355, 465, 1397, 2128, 4103, 4592, 5963, 7193, 7996, 304, 1700, 2326, 3732, 5122, 6154, 7012, 8188, 956, 1587, 2440, 3983, 4287, 5590, 6810, 7782, 1099, 1876, 2957, 3886, 5142, 5340, 7120, 7846, 914, 1998, 3021, 3990, 5159, 6085, 7006, 8267, 956, 2001, 3022, 4011, 4551, 5901, 7006, 8147, 1099, 1791, 3021, 3886, 4366, 6085, 6786, 8237, 1020, 1910, 3076, 3771, 5079, 5637, 6816, 7764, 1102, 1233, 2598, 3987, 4877, 5873, 6908, 7929, 223, 1643, 2245, 3179, 4215, 6158, 7177, 7906, 803, 1582, 3142, 3618, 4604, 5616, 6487, 7665, 154, 1708, 3003, 3283, 4565, 6218, 6663, 7565, 137, 2117, 2678, 3233, 4455, 5454, 6803, 7673, 1022, 1753, 2292, 3751, 4411, 5293, 6682, 7880, 142, 1660, 2398, 4150, 4853, 5610, 7017, 8066, 684, 1913, 3135, 4150, 4536, 5635, 6996, 7485, 510, 1871, 2293, 3886, 4782, 6123, 6604, 7715, 899, 1452, 2222, 4026, 4513, 5892, 6719, 7992, 440, 1635, 2139, 3315, 4412, 6007, 6348, 8187, 568, 1534, 2596, 3225, 4423, 5866, 6296, 7717, 453, 1468, 2683, 4143, 5079, 6123, 7170, 8079, 216, 1468, 2775, 3363, 4890, 5220, 6668, 7927, 1033, 1763, 2826, 3369, 4935, 5370, 6281, 8066, 986, 1306, 2503, 3865, 4321, 5543, 6265, 7636, 309, 1826, 2232, 3824, 4326, 6061, 6759, 7409, 518, 1749, 2893, 3815, 4259, 6085, 7203, 7877, 654, 1550, 2904, 3754, 4925, 5918, 7010, 7716, 654, 2106, 2490, 3827, 4240, 5519, 7090, 8126, 518, 2002, 2669, 3595, 4845, 5678, 7019, 7715, 518, 1424, 3131, 3917, 5138, 5296, 7100, 8080, 240, 1998, 2729, 3819, 4398, 5333, 7160, 7715, 355, 1280, 2669, 3909, 4862, 6110, 6589, 8015, 959, 1633, 2946, 3987, 5135, 6129, 6895, 7908, 223, 2024, 2944, 3962, 5145, 6211, 6979, 8126, 150, 1833, 2678, 3626, 4476, 5338, 6674, 7426, 150, 1490, 2348, 3427, 4548, 5555, 6614, 7467, 277, 1490, 2348, 4151, 4882, 5419, 6899, 7498, 895, 1490, 2927, 3960, 4440, 5646, 6476, 7783, 997, 1935, 2282, 3618, 4991, 5325, 6917, 7966, 966, 1983, 2335, 3741, 5110, 6192, 7066, 7740, 966, 1865, 2436, 4173, 4298, 5870, 6651, 8039, 810, 1609, 2378, 4075, 4832, 6044, 6984, 7581, 428, 1732, 2372, 3549, 4902, 5461, 6622, 7788, 673, 2036, 2751, 3343, 4835, 5990, 6386, 7930, 759, 1704, 2871, 3610, 4413, 5720, 6440, 7724, 662, 1171, 3051, 3751, 4364, 5624, 6602, 7564, 537, 1638, 2591, 3874, 5122, 5584, 6472, 8167, 935, 1620, 2586, 3472, 4828, 6123, 6935, 7386, 475, 1851, 2946, 3866, 4554, 5436, 6607, 7717, 256, 2030, 2586, 3645, 4267, 5677, 6889, 8076, 256, 2030, 2356, 4145, 4856, 5579, 7129, 7865, 256, 2097, 2488, 3827, 5167, 5901, 7111, 7537, 356, 2111, 3109, 3832, 5135, 5534, 6252, 7898, 335, 1794, 2729, 3929, 5120, 5210, 6486, 7717, 893, 1164, 2924, 3945, 4622, 5212, 7175, 7973, 150, 1732, 2419, 3352, 5142, 6018, 6348, 8126, 608, 1550, 2874, 3551, 5045, 5678, 6443, 7961, 672, 1915, 2706, 3426, 4427, 5706, 6678, 7998, 993, 1732, 2271, 3964, 5097, 5903, 6224, 7659, 778, 1269, 2974, 3952, 4870, 5954, 6708, 8040, 104, 1227, 2254, 3426, 4334, 5468, 6898, 8195, 1025, 1850, 3033, 3358, 4966, 5413, 7030, 7557, 1025, 1809, 2989, 3870, 4966, 6022, 7207, 8078, 826, 1255, 2271, 4152, 4617, 5477, 7046, 7706, 831, 1721, 2515, 3271, 4343, 6146, 6898, 8260, 804, 2000, 3007, 4145, 5038, 6211, 7220, 7720, 1099, 1623, 2947, 4166, 5038, 6182, 6979, 8267, 356, 1965, 2536, 4068, 4780, 6182, 6443, 7602, 225, 1752, 2487, 3746, 5111, 5529, 6751, 7349, 518, 1695, 2466, 3516, 5104, 5296, 7069, 7826, 356, 1918, 2860, 3470, 5038, 5844, 6810, 8237, 650, 1286, 2651, 3533, 4308, 5911, 6786, 8261, 443, 1510, 2357, 3533, 4364, 6068, 6612, 7881, 299, 2008, 2429, 3456, 4364, 5643, 6501, 7248, 104, 1655, 2797, 3276, 5122, 5898, 6603, 7996, 1025, 1463, 2923, 3205, 4589, 5873, 6348, 8165, 424, 1992, 2256, 3538, 5124, 5715, 6265, 8111, 1057, 1407, 2940, 3937, 4458, 5586, 6571, 7535, 160, 1141, 2167, 4067, 5074, 5610, 7154, 7678, 815, 1763, 2943, 4145, 4596, 5265, 6719, 7336, 986, 1171, 2987, 3819, 4343, 5782, 6898, 7811, 862, 1732, 2345, 3353, 4626, 6041, 7085, 7962, 113, 1164, 2987, 3591, 4671, 5633, 7149, 8081, 862, 1695, 3116, 3655, 4751, 5745, 6944, 8040, 862, 1653, 2751, 3563, 4213, 6187, 6569, 7669, 1088, 1942, 2210, 4151, 4652, 6119, 6448, 7288, 1084, 1397, 3085, 3864, 4856, 5982, 6443, 8213, 641, 1510, 2926, 3480, 4983, 5376, 7021, 8245, 951, 1510, 2520, 3679, 4881, 6114, 6486, 7822, 610, 2090, 2794, 4055, 5095, 5436, 7152, 7918, 1090, 1363, 2783, 3873, 4622, 5705, 6774, 7971, 424, 1499, 3061, 3955, 4622, 5788, 6849, 7918, 1090, 1275, 3098, 4145, 4782, 5981, 7084, 7918, 610, 1399, 2222, 3917, 5088, 5836, 6859, 7838, 1056, 1978, 3098, 3982, 4622, 6171, 7239, 7720, 663, 1881, 2925, 3990, 5104, 6051, 7149, 7720, 1056, 2125, 2943, 4115, 5038, 6211, 6668, 7421, 308, 2079, 3095, 4011, 4583, 5832, 6515, 7485, 488, 1791, 3117, 3367, 4822, 6139, 6972, 7766, 142, 1528, 3135, 3825, 5080, 6139, 7239, 8147, 488, 1528, 2914, 4018, 5038, 5241, 7077, 7949, 818, 2046, 2164, 3226, 5058, 6139, 7006, 7766, 818, 2017, 2914, 3893, 5038, 5241, 7124, 8267, 488, 1528, 2806, 3893, 4624, 6081, 7201, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 65, 48, 5, 62, 69, 66, 5, 23, 66, 5, 43, 35, 5, 76, 17, 54, 5, 43, 14, 54, 30, 5, 5, 3, 945, 1528, 2754, 4174, 5159, 6081, 6709, 7949, 488, 1528, 3117, 3914, 4798, 5241, 7124, 7766, 488, 2111, 2914, 3893, 4704, 5963, 6752, 8223, 183, 1320, 2717, 3911, 4437, 5730, 6584, 7405, 334, 1286, 2181, 4103, 4493, 5493, 6430, 7288, 334, 1286, 2468, 3850, 4638, 6189, 6964, 8150, 334, 1286, 2181, 3857, 4549, 5443, 6821, 7873, 334, 1269, 2230, 3792, 4855, 5830, 6633, 8117, 568, 1623, 2468, 3749, 5159, 6149, 6752, 7476, 757, 1750, 2944, 3540, 4486, 5493, 7010, 7355, 160, 1807, 3053, 3929, 4459, 5413, 6966, 7929, 318, 1357, 2422, 3464, 4216, 5640, 7091, 8082, 825, 1782, 2867, 3936, 4338, 5472, 6883, 7994, 487, 1250, 3074, 4172, 4710, 5575, 6593, 7384, 826, 1806, 3074, 3162, 4364, 5714, 7030, 7867, 1056, 2035, 3076, 4114, 4318, 5717, 6732, 8083, 956, 1330, 2493, 4085, 5073, 6014, 7120, 8188, 1099, 1791, 3008, 3710, 4622, 5705, 6709, 8083, 1099, 2001, 3043, 3803, 4630, 6051, 6752, 7570, 1099, 1924, 3043, 4071, 5080, 5241, 6972, 7949, 914, 1791, 2960, 4174, 5061, 6063, 7132, 7723, 579, 1943, 2941, 3662, 4305, 5538, 6776, 8236, 959, 1396, 2661, 3257, 5097, 5586, 6787, 7811, 373, 1499, 2708, 4064, 5061, 5844, 7013, 7563, 373, 1682, 2352, 3767, 4494, 5892, 7170, 8145, 160, 1461, 3069, 3992, 5127, 5944, 6922, 7869, 1067, 1596, 2429, 3686, 4848, 6172, 6909, 7422, 1084, 1989, 2429, 3741, 4636, 5716, 6344, 7255, 1062, 1139, 2156, 3943, 4417, 5263, 6651, 7607, 153, 2107, 2503, 4085, 4727, 5385, 6931, 8099, 1049, 1510, 2829, 3340, 5121, 5825, 6413, 7259, 113, 1510, 2597, 3839, 4545, 5474, 7163, 7985, 803, 1510, 2470, 3478, 5114, 5557, 6921, 7293, 493, 1368, 3116, 3547, 4683, 5955, 6839, 7886, 502, 1496, 2175, 4123, 4457, 5706, 7247, 8117, 313, 2051, 2751, 3688, 4446, 6098, 6448, 8030, 508, 1769, 2843, 3913, 4502, 6032, 6839, 7989, 508, 1609, 2871, 3252, 4418, 5791, 6674, 7255, 730, 1426, 2149, 3661, 4539, 5745, 6433, 7736, 662, 1199, 2670, 3262, 4372, 5512, 6779, 7678, 235, 1467, 2532, 3793, 4238, 5977, 6386, 7648, 970, 1653, 2269, 3728, 4896, 5257, 6911, 7630, 779, 2091, 2156, 4143, 4281, 6025, 6613, 8199, 552, 1933, 2728, 3827, 4954, 5641, 7084, 7748, 421, 1597, 2692, 3662, 4350, 5650, 6800, 8079, 568, 1876, 2188, 3528, 4225, 6117, 6881, 7845, 757, 2098, 2946, 3680, 5075, 5653, 7140, 7321, 403, 1510, 3046, 3391, 5147, 6128, 6909, 7770, 390, 1459, 2156, 3975, 5040, 5514, 6430, 7383, 752, 1463, 2959, 3541, 4513, 5866, 6894, 7918, 113, 1821, 2608, 3662, 4852, 5296, 6417, 7309, 803, 1324, 2893, 3857, 4607, 6052, 6732, 7293, 150, 1517, 2348, 3782, 4725, 5825, 6488, 7815, 895, 1770, 2232, 3762, 4801, 5744, 6474, 7659, 1067, 1494, 2511, 3686, 4594, 5980, 6788, 7284, 569, 1512, 2261, 3691, 4499, 5679, 6853, 7373, 547, 1275, 2400, 4046, 4594, 5512, 6843, 7988, 850, 1120, 2698, 3498, 5018, 5619, 6695, 7690, 1011, 1251, 2798, 3729, 4933, 5221, 6899, 7863, 1090, 1660, 2586, 4092, 4782, 5834, 7164, 8266, 424, 1499, 3007, 4053, 5183, 5630, 6605, 8245, 663, 1146, 2960, 3188, 4828, 5968, 7085, 7876, 1090, 1581, 2943, 3828, 4512, 5216, 6871, 8107, 424, 2028, 3007, 3240, 4589, 5796, 6582, 7602, 663, 1867, 2834, 3512, 5106, 5705, 6630, 8261, 938, 1897, 2984, 3747, 4512, 5811, 6603, 7360, 864, 1572, 2647, 3967, 4314, 6126, 7154, 8143, 736, 1129, 2480, 3742, 4982, 5512, 6874, 7995, 333, 1129, 2532, 3557, 4373, 6123, 6866, 8213, 966, 2050, 3001, 3262, 4794, 5365, 6271, 7367, 810, 1489, 2423, 3164, 4506, 5793, 6348, 8251, 480, 1199, 3073, 4007, 4242, 5823, 6907, 7623, 113, 1337, 2361, 3164, 4604, 5449, 6501, 7413, 465, 2043, 3116, 4082, 4607, 5950, 7229, 7902, 1090, 1350, 3092, 3233, 4805, 5797, 6411, 7870, 826, 1676, 2887, 4030, 4859, 5954, 7169, 7496, 408, 1747, 2868, 3709, 5153, 5216, 7162, 8188, 663, 1821, 2391, 3826, 4374, 5573, 6822, 7557, 831, 1175, 2820, 3961, 4287, 5641, 6852, 7965, 537, 2066, 2636, 3493, 5052, 5767, 6630, 7658, 403, 1821, 3040, 3975, 4318, 5440, 6613, 8060, 403, 1953, 2239, 3794, 4987, 5315, 6790, 8261, 863, 1789, 2839, 3424, 4633, 5521, 6772, 8016, 857, 1789, 2839, 3856, 4918, 5642, 6953, 7823, 844, 1485, 3143, 3770, 4196, 5305, 7060, 7811, 1088, 1878, 2360, 3596, 5007, 5850, 6551, 8018, 319, 1906, 2990, 3305, 5130, 5745, 6864, 8151, 897, 1316, 2569, 4007, 5130, 5261, 6815, 7814, 492, 2084, 2472, 3770, 4854, 5317, 6545, 7674, 247, 1753, 3029, 3770, 5130, 6044, 6965, 7603, 247, 1472, 3146, 3770, 4604, 5603, 6257, 7843, 247, 1472, 3146, 3586, 4604, 5745, 6967, 7983, 247, 1930, 3029, 3924, 4546, 5860, 6609, 8154, 462, 1539, 2459, 3635, 4737, 5533, 6994, 7881, 880, 1283, 2995, 3431, 4901, 5742, 6267, 8171, 930, 1434, 2951, 3895, 4274, 6113, 6348, 8216, 1084, 1919, 2751, 3503, 5066, 5656, 6242, 8254, 113, 1938, 2720, 3232, 4507, 5734, 6875, 7502, 1011, 1930, 2348, 4056, 4224, 5428, 7173, 8254, 1090, 1349, 2149, 3162, 5157, 6207, 6795, 7667, 424, 1227, 2797, 3488, 4426, 6120, 6774, 7857, 1090, 1146, 2980, 3955, 5127, 6114, 6302, 7876, 610, 1238, 2783, 3418, 4690, 6205, 7019, 7706, 1090, 1363, 2783, 3975, 5129, 5752, 7058, 8066, 1056, 1363, 2945, 3516, 5080, 6063, 6515, 7876, 610, 1736, 2959, 3581, 4918, 5573, 6430, 7547, 779, 1660, 2880, 3710, 5183, 6195, 7162, 7965, 308, 1508, 3110, 4108, 4287, 5378, 7239, 8076, 684, 1700, 3111, 4170, 4925, 6103, 7160, 8179, 4, 2 ]

[ 1, 16, 54, 30, 5, 65, 48, 5, 44, 54, 41, 77, 73, 78, 44, 78, 5, 16, 5, 76, 36, 52, 30, 5, 76, 45, 31, 5, 16, 5, 30, 44, 78, 26, 35, 5, 41, 20, 63, 5, 32, 54, 50, 60, 53, 16, 54, 66, 5, 5, 3, 945, 1528, 2806, 3825, 4704, 6186, 7077, 8147, 201, 2017, 2914, 3825, 4704, 6139, 7124, 7766, 488, 2017, 3117, 3367, 4624, 6081, 7077, 8147, 789, 2106, 2806, 4071, 4716, 5677, 7047, 7723, 739, 1349, 2453, 3883, 5014, 5223, 6333, 7953, 714, 1782, 2453, 3448, 4903, 6116, 6586, 8037, 681, 1205, 2453, 3580, 5113, 5826, 6549, 7360, 683, 1526, 2574, 4072, 4775, 5870, 7135, 7940, 462, 1834, 3030, 4158, 4495, 5988, 7229, 8046, 731, 1306, 2687, 3304, 4800, 5497, 6414, 7607, 223, 1948, 2135, 4094, 5145, 5573, 6659, 8236, 752, 1594, 2128, 4017, 5085, 5616, 6918, 8024, 1033, 1924, 2915, 4132, 5127, 5210, 7149, 7555, 1071, 1777, 2809, 3167, 4318, 6137, 6526, 7260, 160, 1721, 2239, 3563, 4334, 6084, 7157, 8266, 183, 1692, 3080, 3300, 5042, 5830, 7192, 7677, 225, 2034, 3149, 3528, 5079, 5620, 6607, 7962, 118, 1898, 2803, 3225, 4696, 5300, 7129, 8227, 225, 1510, 2740, 3470, 4863, 5761, 6688, 7885, 334, 2098, 2740, 3470, 5043, 5218, 6458, 7259, 334, 1286, 2432, 3934, 4737, 5514, 6384, 7794, 568, 1357, 2656, 4089, 4863, 5650, 6577, 7309, 568, 1958, 2988, 3470, 4706, 5981, 6371, 7476, 757, 1508, 2669, 3904, 4592, 5527, 6486, 7929, 731, 2113, 2795, 3815, 5061, 5456, 7041, 8149, 722, 1118, 2693, 3355, 4598, 5875, 7035, 8117, 986, 1637, 2282, 3446, 4521, 5538, 7151, 7592, 545, 1233, 2311, 3245, 5110, 5520, 6444, 7990, 582, 1252, 2990, 3986, 5100, 5887, 7169, 8240, 613, 1829, 2156, 4078, 4686, 5616, 6312, 7892, 987, 1828, 2697, 3796, 4751, 6066, 7152, 7650, 987, 1674, 2486, 4155, 5138, 5413, 7017, 7559, 118, 1831, 3089, 3233, 4918, 5770, 7146, 7710, 231, 1905, 2829, 4120, 4829, 6067, 6334, 7825, 1059, 1133, 2312, 3711, 5144, 5844, 6627, 7466, 582, 1905, 2994, 3532, 5075, 6147, 7091, 7494, 582, 1516, 2990, 3711, 4993, 5610, 6449, 7872, 996, 1446, 2148, 3423, 5043, 5749, 6529, 7542, 726, 1815, 2752, 4015, 4763, 5650, 7114, 7689, 653, 1593, 2536, 3864, 4495, 5953, 6417, 7405, 582, 1373, 3019, 4015, 4784, 5224, 6771, 7971, 391, 1770, 2384, 3975, 4607, 6070, 7197, 7537, 948, 1231, 2292, 3873, 4536, 5550, 7090, 7537, 149, 1972, 2731, 3396, 4509, 5775, 7017, 7658, 685, 1120, 2731, 3970, 4609, 5524, 6849, 7584, 948, 1231, 2292, 3374, 4796, 5749, 6669, 7846, 643, 1333, 2943, 3468, 4670, 5550, 7247, 7687, 715, 1924, 2629, 3241, 4576, 5606, 6751, 7365, 228, 1886, 2381, 3717, 4467, 5586, 6790, 7811, 518, 2125, 2992, 3994, 4981, 5202, 6607, 7677, 256, 1508, 3095, 4135, 5143, 6184, 7169, 7704, 256, 1869, 2989, 3555, 4935, 5694, 6901, 7677, 256, 2111, 2542, 3945, 4398, 6137, 6607, 8185, 440, 1597, 2992, 3372, 4549, 5723, 7220, 8066, 518, 1289, 2659, 3891, 4191, 5438, 6607, 7831, 568, 1452, 2775, 4037, 4870, 5923, 6607, 7527, 568, 1550, 2468, 4085, 4387, 6137, 6840, 7826, 118, 1958, 2860, 3416, 5197, 5672, 6740, 7303, 105, 1974, 2542, 4071, 4912, 5734, 6468, 7716, 1059, 1280, 3064, 3866, 5012, 5438, 7168, 8066, 937, 1807, 2292, 3582, 4611, 5437, 6313, 7860, 582, 1942, 2282, 3648, 4920, 5664, 6905, 7727, 582, 1333, 2830, 3363, 4282, 5837, 6923, 7878, 856, 1498, 2830, 3666, 4392, 5565, 6872, 8158, 204, 1971, 2665, 3769, 4337, 5492, 6371, 7831, 408, 2118, 2934, 3832, 4530, 6201, 7103, 7838, 408, 1596, 2282, 3459, 4385, 5333, 7025, 7318, 767, 1596, 2338, 3586, 4335, 6158, 6820, 7767, 767, 1740, 2339, 3586, 4603, 5713, 6528, 7386, 767, 1740, 2508, 3586, 4379, 6132, 6502, 8069, 767, 1740, 2508, 4044, 4335, 5413, 6913, 7557, 767, 1740, 2508, 3586, 4266, 6012, 6540, 7540, 987, 1400, 2846, 4078, 5166, 5485, 7103, 7885, 545, 1871, 2291, 3376, 4756, 5565, 7162, 7510, 149, 2013, 2953, 3372, 4882, 5224, 7152, 7447, 576, 1241, 2726, 3539, 5043, 5660, 7161, 7679, 225, 1773, 2791, 3753, 4351, 6046, 6650, 7679, 225, 1995, 2801, 3838, 4996, 5422, 7207, 7612, 195, 1749, 3128, 3555, 4374, 5423, 6694, 7949, 568, 1452, 3046, 3983, 4859, 5745, 6637, 8083, 448, 1716, 2793, 3710, 5188, 6149, 6231, 7584, 1006, 1869, 3053, 4041, 4890, 5821, 6944, 8126, 726, 1471, 2562, 3623, 4777, 5601, 6813, 7962, 653, 1726, 3097, 3692, 4859, 5384, 6302, 7386, 902, 1477, 3040, 3434, 4395, 5257, 7017, 8114, 996, 1889, 3074, 3276, 5011, 6097, 6494, 7603, 1006, 1779, 2986, 3395, 4875, 6145, 7229, 7888, 448, 1707, 2626, 3342, 5012, 6201, 6740, 7772, 1014, 1265, 2788, 3442, 4836, 5303, 6939, 7934, 317, 1939, 2358, 3727, 4364, 5694, 7188, 7537, 448, 2065, 2924, 3990, 4364, 5446, 6410, 7383, 761, 2065, 2678, 3993, 4959, 5539, 7047, 8117, 1045, 1199, 2950, 3459, 4735, 5655, 6802, 7925, 1080, 1682, 2309, 3525, 5015, 5784, 7158, 7982, 1080, 1251, 2309, 3154, 4650, 6021, 6569, 7255, 386, 1251, 2869, 3940, 5153, 5257, 6883, 7744, 386, 1776, 2344, 3934, 4706, 5696, 6811, 7895, 386, 2095, 2999, 4043, 4728, 5393, 6596, 8238, 678, 1776, 2629, 4136, 5062, 5968, 7143, 7369, 678, 1231, 2444, 3470, 4343, 5515, 6850, 7557, 401, 1688, 2960, 4115, 5058, 5573, 6615, 8076, 390, 1567, 3135, 4115, 5166, 5515, 7132, 8260, 304, 2001, 2926, 3803, 5129, 5515, 6589, 8083, 940, 2035, 2803, 3955, 4429, 6131, 6852, 8213, 678, 2035, 2989, 3977, 5183, 5385, 6852, 7816, 1081, 1407, 2996, 3931, 4925, 5942, 6771, 8135, 504, 1318, 2981, 3909, 4814, 5305, 7069, 8064, 643, 1135, 2248, 3775, 4533, 5590, 6714, 7695, 150, 1389, 2425, 3826, 5135, 5909, 6589, 7525, 1029, 1205, 3037, 3892, 4965, 5408, 6439, 7584, 536, 1565, 2279, 4119, 4717, 5523, 7144, 7875, 465, 1213, 2423, 3307, 4795, 6077, 6458, 8180, 761, 1343, 2667, 3393, 4428, 5939, 6680, 7678, 277, 1512, 2380, 3878, 4324, 5729, 6792, 8170, 277, 1351, 2242, 3653, 4426, 6174, 7120, 7911, 277, 1924, 2446, 4153, 4755, 5417, 7067, 8126, 277, 1924, 2432, 3814, 4548, 6030, 6980, 7743, 277, 1782, 2707, 4153, 4343, 5893, 6626, 7311, 277, 1477, 2432, 3307, 4842, 5733, 6644, 8104, 876, 1407, 2432, 4030, 4642, 5380, 6707, 7666, 1008, 1978, 2432, 3389, 4741, 5600, 7063, 7482, 344, 1512, 2415, 3894, 4399, 5449, 6493, 7248, 277, 1141, 2415, 3229, 5145, 5668, 6279, 8134, 569, 1770, 2740, 3910, 5009, 5344, 6594, 8254, 992, 1743, 2655, 3385, 4883, 5516, 6360, 8189, 938, 1674, 2876, 3759, 5091, 5548, 7075, 7457, 487, 1972, 2266, 3338, 4214, 5242, 6674, 8016, 938, 1740, 2887, 3986, 4727, 5268, 6458, 7284, 1024, 1350, 2515, 3478, 5091, 5512, 6559, 7686, 569, 2056, 2175, 3643, 5041, 5426, 6829, 7962, 1008, 1117, 2892, 3986, 5081, 5814, 7234, 7348, 569, 2019, 2446, 3986, 4534, 5220, 6304, 8064, 923, 1447, 2795, 4027, 5081, 6105, 6840, 7699, 881, 1199, 2901, 3447, 4390, 6147, 6485, 7999, 993, 2043, 2129, 3986, 4748, 5668, 7060, 7439, 993, 1141, 2349, 3964, 5114, 6002, 7080, 7839, 373, 1881, 2716, 3916, 4588, 5964, 6314, 7834, 390, 1700, 3098, 3932, 4617, 6131, 7230, 7831, 715, 1850, 3042, 3522, 4374, 5396, 6891, 7366, 845, 1809, 2818, 3732, 4556, 5982, 6535, 7447, 646, 1828, 2893, 4123, 4621, 5933, 6343, 8111, 646, 1828, 2893, 4015, 5070, 6142, 6897, 7915, 803, 1510, 2162, 4037, 4489, 5657, 7053, 8104, 802, 1496, 2487, 3653, 4431, 5490, 6735, 7898, 804, 1533, 2781, 3495, 5052, 5263, 6852, 7590, 684, 1844, 2746, 4168, 4215, 6181, 6830, 7831, 684, 1608, 2871, 3645, 4470, 6123, 7218, 8227, 1099, 1406, 3006, 3891, 5080, 6051, 6677, 7782, 213, 1620, 2781, 3990, 4870, 5340, 6515, 8107, 859, 1874, 2746, 3374, 5060, 6103, 6584, 7881, 617, 1874, 3147, 3440, 5060, 5385, 7239, 7865, 617, 1695, 3062, 4150, 4777, 6160, 7201, 8237, 617, 2127, 2991, 3886, 4681, 6205, 6677, 7716, 617, 2034, 3000, 3891, 4912, 6149, 7160, 7303, 617, 2032, 2839, 3440, 5040, 5892, 7160, 7732, 617, 1750, 3147, 4174, 5060, 5760, 7100, 8109, 859, 2065, 2996, 4171, 4411, 6137, 6889, 7948, 171, 2088, 3021, 3710, 5061, 5963, 7100, 7641, 132, 2032, 3143, 3188, 4918, 5534, 7071, 7428, 337, 1334, 2965, 4151, 4681, 5901, 7019, 7838, 488, 2032, 2806, 3893, 4888, 5901, 6588, 7876, 142, 2017, 2806, 4071, 4704, 6081, 7077, 8076, 818, 2017, 3117, 4018, 4366, 5241, 7132, 8237, 401, 1705, 2803, 3990, 4691, 5950, 6588, 8076, 392, 1776, 3072, 4130, 4907, 5245, 7222, 7879, 498, 1723, 2790, 3986, 4929, 5928, 6691, 7683, 781, 2059, 2915, 4000, 4664, 5478, 6735, 7490, 459, 2059, 3142, 3764, 5022, 5361, 6556, 8197, 308, 1238, 2940, 3546, 4925, 5565, 7100, 7524, 440, 1238, 3147, 3361, 4767, 5210, 6731, 7878, 825, 2079, 2414, 3350, 5164, 6063, 7212, 7545, 927, 2063, 2701, 3562, 4330, 5827, 6242, 7369, 908, 1826, 2309, 3678, 4794, 5610, 6838, 7665, 632, 1557, 2725, 3511, 5011, 5697, 7126, 7937, 612, 1633, 2870, 3993, 4645, 5656, 6808, 8034, 884, 1472, 2727, 3960, 4982, 5657, 7128, 7397, 356, 1708, 3130, 4074, 4364, 6065, 6950, 7959, 308, 1623, 2373, 3692, 4690, 5413, 7218, 8267, 211, 1773, 2895, 4011, 4387, 5694, 6302, 7881, 211, 2079, 2792, 3361, 4829, 6195, 7162, 7723, 804, 1581, 2469, 3955, 4746, 6058, 6677, 8195, 882, 2078, 2360, 3966, 4784, 5446, 6586, 7838, 988, 1636, 2961, 3191, 4953, 5765, 6710, 7297, 462, 1636, 3040, 4084, 4546, 5903, 6309, 7881, 896, 1290, 2830, 4084, 5072, 5867, 7135, 7683, 881, 1692, 2725, 3356, 4921, 5925, 6836, 8114, 884, 2118, 3074, 3309, 4541, 5886, 6871, 7861, 399, 2056, 2830, 3824, 5114, 6188, 6974, 7933, 881, 1594, 2626, 3513, 4321, 5218, 6484, 7878, 115, 1125, 2587, 3824, 4916, 6007, 6270, 7778, 115, 2118, 2826, 3824, 4439, 5917, 7014, 8045, 576, 1763, 2278, 3909, 4708, 5512, 7052, 8017, 195, 1579, 2799, 3205, 5150, 5543, 6270, 8061, 127, 1262, 2424, 3819, 4966, 5844, 6740, 7894, 1014, 1116, 3007, 3880, 5079, 5918, 7043, 8016, 309, 2111, 3095, 3764, 4881, 5368, 6536, 7279, 927, 1399, 2346, 3961, 4604, 5333, 6984, 7809, 1014, 1944, 2915, 3987, 4949, 6181, 6832, 7677, 995, 1139, 2330, 3369, 5011, 6063, 6651, 8150, 803, 1530, 2693, 4123, 4723, 5205, 6725, 7774, 630, 1538, 2693, 3993, 4906, 6154, 6503, 7828, 681, 1596, 2929, 4053, 4669, 5733, 7227, 7496, 313, 1934, 2286, 4075, 5192, 5242, 6868, 7930, 910, 1199, 2259, 4072, 4882, 5349, 7186, 7722, 428, 1183, 2414, 3501, 4616, 5876, 7245, 8075, 179, 1503, 3132, 3182, 4281, 5867, 6697, 7581, 665, 1183, 2670, 3988, 5036, 5284, 7072, 7886, 1041, 1183, 2751, 3847, 4351, 6092, 6729, 7833, 910, 1183, 2610, 3356, 4455, 5585, 7040, 7299, 966, 1721, 2725, 3386, 4330, 5874, 6224, 8219, 465, 1301, 2725, 4159, 5066, 5874, 6689, 7276, 1101, 2118, 3116, 3775, 4664, 6033, 6930, 7828, 884, 2118, 3056, 3394, 4364, 5349, 6447, 7583, 662, 1376, 2725, 4072, 4525, 5482, 6301, 8061, 992, 1306, 2725, 3354, 4604, 5714, 6734, 8061, 693, 1900, 2750, 3668, 4376, 5914, 6812, 7448, 730, 1984, 2464, 3421, 5161, 6087, 6343, 7532, 693, 1901, 2725, 4009, 4873, 5864, 6965, 7652, 730, 1140, 2726, 3245, 4662, 5257, 6673, 7988, 693, 1346, 2224, 3842, 4697, 6118, 7238, 7883, 265, 1563, 2137, 4123, 4652, 6118, 6402, 8078, 770, 1783, 2282, 3964, 5036, 6047, 6482, 7512, 160, 1151, 2939, 3777, 4747, 5534, 6812, 8064, 390, 2088, 2984, 3983, 4554, 5590, 6920, 8093, 518, 2125, 2560, 3904, 5060, 5903, 6579, 7641, 878, 1389, 3098, 3171, 5048, 6182, 7157, 7776, 256, 1475, 2730, 3204, 4991, 6177, 6852, 8076, 518, 1518, 2468, 3595, 4387, 5630, 6283, 8216, 1015, 1304, 2833, 3866, 4276, 5824, 6607, 7549, 132, 1147, 2560, 3945, 4583, 5661, 7219, 8245, 308, 1318, 3144, 3271, 4890, 5705, 6677, 8076, 1035, 1318, 2679, 3486, 4186, 5850, 6587, 7563, 1008, 1873, 3056, 3880, 4623, 6070, 6886, 7753, 1008, 1516, 2347, 4072, 4674, 5288, 7140, 8215, 1008, 1146, 3090, 3404, 4195, 5894, 6769, 7632, 1008, 1205, 3003, 4105, 4476, 5301, 6522, 7970, 344, 1867, 2987, 3747, 4291, 5298, 6957, 7628, 761, 1264, 2764, 3192, 4367, 5562, 6962, 7955, 802, 2034, 2864, 3549, 4748, 6160, 6586, 7773, 814, 1512, 2882, 3894, 4984, 5886, 6321, 7571, 759, 1376, 2669, 3290, 5001, 5585, 6995, 7435, 759, 1708, 2440, 3178, 4503, 5408, 6493, 7920, 884, 1758, 2636, 3421, 4226, 5480, 6760, 8084, 759, 1708, 3032, 3605, 4368, 5960, 6704, 8041, 223, 1286, 2615, 3376, 4321, 5640, 6262, 8083, 216, 1682, 2444, 3767, 4912, 5767, 7084, 7312, 216, 1721, 2547, 3430, 4801, 5663, 7006, 8107, 1035, 1771, 2360, 3454, 4536, 5981, 7218, 8195, 1033, 1915, 2991, 3932, 4533, 5663, 7095, 7785, 1025, 1227, 2771, 3430, 5153, 5661, 6811, 8126, 1035, 1915, 3101, 3540, 4861, 6146, 6884, 7641, 986, 1978, 2242, 3253, 4522, 5386, 6639, 8028, 118, 1112, 3061, 3570, 4983, 5929, 6443, 8216, 568, 1399, 2974, 3732, 4592, 6187, 6241, 7705, 545, 1971, 2648, 3307, 4763, 5918, 7041, 7260, 806, 2063, 3125, 4096, 4691, 5640, 6348, 7943, 104, 1586, 2179, 3605, 4589, 5557, 6959, 8044, 803, 1453, 2564, 3309, 4609, 5794, 6574, 7844, 137, 1275, 2740, 3605, 4185, 5939, 6735, 7256, 1005, 1901, 2741, 3619, 4774, 5945, 6768, 7739, 665, 1757, 3112, 3735, 4205, 6187, 7085, 8046, 662, 1134, 2741, 3619, 4626, 5621, 6663, 8062, 296, 1404, 3149, 3634, 5124, 5338, 7063, 7261, 639, 1809, 2564, 3299, 4544, 5381, 6603, 7384, 620, 2036, 2564, 3895, 4539, 5925, 6725, 8229, 639, 1268, 2548, 3295, 4949, 6130, 6736, 7772, 981, 1461, 2548, 3846, 5019, 5341, 6476, 8040, 725, 1586, 2583, 3918, 4641, 5934, 6486, 7634, 970, 1577, 2548, 3761, 4555, 5757, 7004, 7383, 288, 1407, 2801, 3671, 4583, 5832, 7162, 8031, 663, 1777, 2440, 3445, 4867, 6070, 7152, 8066, 663, 1998, 2801, 4171, 4971, 5981, 6584, 7949, 678, 1540, 2552, 3866, 4780, 6166, 6898, 8126, 940, 1847, 2991, 3873, 5169, 5436, 7147, 8031, 665, 1700, 2884, 3578, 5098, 5589, 6488, 8140, 981, 1119, 2899, 4154, 4437, 6070, 7184, 8215, 725, 1653, 2436, 3456, 5010, 6054, 6487, 8160, 938, 1108, 2775, 3899, 4735, 5673, 6701, 8165, 940, 1510, 2321, 3776, 5157, 5730, 6566, 7687, 211, 1932, 2865, 4150, 4954, 5536, 7222, 7846, 424, 1992, 2429, 3645, 4542, 5378, 6979, 7476, 955, 1834, 2996, 4055, 4226, 5678, 6980, 7716, 1037, 2000, 3064, 3355, 4179, 6051, 7129, 7806, 308, 1804, 3064, 4097, 5169, 5883, 7111, 7641, 186, 1406, 3043, 4174, 5038, 5219, 6972, 8147, 1020, 2106, 2316, 3188, 4872, 5854, 6277, 8093, 256, 2078, 2725, 3967, 5197, 5612, 6757, 7386, 555, 1623, 2554, 3566, 4181, 6085, 7218, 7831, 818, 1623, 3117, 3803, 4366, 6139, 6996, 7782, 860, 1528, 3117, 3825, 5038, 5705, 6794, 7766, 488, 2017, 3117, 3367, 5038, 6139, 7239, 8223, 488, 2017, 2914, 3825, 4624, 6139, 7124, 8260, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 915, 2078, 2164, 3374, 5159, 6205, 6604, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 43, 73, 5, 76, 11, 78, 5, 75, 45, 78, 16, 66, 44, 55, 5, 16, 5, 41, 63, 33, 54, 30, 5, 44, 54, 5, 31, 16, 5, 64, 39, 53, 5, 43, 11, 64, 62, 46, 66, 16, 52, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 488, 1648, 2914, 3825, 4624, 6139, 7077, 7766, 488, 1648, 2914, 3893, 4624, 5635, 7226, 8080, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 186, 1648, 2164, 3825, 4624, 5635, 7124, 7766, 171, 2065, 3143, 3891, 5061, 5767, 6776, 8236, 211, 1386, 2793, 4038, 5061, 5844, 7084, 8054, 685, 1898, 2887, 3870, 5138, 6171, 6734, 7948, 781, 1899, 2697, 4139, 4294, 6135, 6936, 8077, 386, 2047, 2655, 3623, 4388, 5726, 6377, 7767, 223, 1554, 2827, 3623, 4697, 5838, 7162, 8202, 716, 1419, 2438, 3475, 4381, 6067, 6290, 8037, 1067, 1205, 2934, 3623, 5179, 5807, 6858, 8271, 668, 1407, 2405, 3623, 4785, 5594, 6465, 8096, 314, 1167, 2667, 3218, 4826, 5256, 6856, 7304, 781, 2059, 2710, 3316, 4682, 5935, 6311, 7958, 1023, 2059, 2543, 4043, 5065, 5594, 6884, 7542, 363, 1550, 2495, 3426, 5122, 5492, 6883, 8149, 874, 1826, 3013, 3910, 4270, 5276, 6986, 8193, 576, 2105, 2516, 3669, 4180, 5386, 7215, 7651, 518, 1524, 2436, 3596, 5187, 5378, 6302, 8239, 901, 1468, 2638, 3399, 4949, 5479, 6830, 7588, 489, 2107, 2788, 3798, 4772, 5809, 6503, 7643, 715, 1923, 2788, 3540, 4675, 5776, 6275, 8103, 833, 1851, 3095, 3337, 4935, 5926, 7006, 7908, 405, 1847, 2473, 4094, 5088, 5438, 7095, 7919, 424, 2060, 2429, 3851, 4191, 6110, 6874, 7537, 500, 1689, 2979, 3454, 4224, 5980, 6734, 7878, 326, 1915, 2335, 3786, 4268, 6056, 7165, 7462, 1023, 1283, 3003, 3892, 4482, 6101, 6955, 7279, 632, 1349, 2366, 3323, 4195, 5742, 6622, 8204, 381, 1140, 2731, 3331, 4340, 5396, 7099, 8186, 862, 1140, 2897, 3265, 4273, 5603, 6856, 7445, 1011, 1653, 2550, 4006, 4727, 5290, 6689, 7842, 1059, 2095, 2559, 4095, 5145, 5419, 6474, 8126, 127, 1852, 3053, 4078, 4602, 5631, 7062, 7855, 127, 2097, 2871, 3470, 4733, 5400, 7087, 7631, 1014, 1323, 3080, 3576, 4255, 6194, 7095, 8130, 448, 2118, 3068, 3648, 4186, 5496, 6998, 7887, 731, 1938, 2346, 3158, 4759, 6067, 6464, 7838, 930, 1264, 2312, 3251, 4421, 5227, 6832, 8008, 137, 1349, 2961, 3995, 4664, 5914, 6780, 7929, 876, 2034, 2147, 4128, 4501, 6004, 6582, 8015, 913, 1349, 2607, 3934, 5193, 5581, 6528, 7400, 1047, 1118, 2869, 4125, 4982, 5438, 6899, 7501, 970, 1281, 3139, 3824, 4762, 5821, 6909, 7858, 1088, 1244, 2587, 3767, 5153, 5313, 7008, 8117, 1006, 1669, 2315, 3924, 4875, 5516, 6664, 7252, 511, 1244, 2669, 3508, 5145, 5863, 6916, 7293, 653, 1640, 3080, 3939, 5081, 5773, 6615, 8048, 335, 1231, 2346, 3455, 4374, 5942, 7157, 7367, 731, 1545, 2669, 3440, 4916, 5573, 6762, 7453, 391, 1268, 3052, 3268, 4308, 5641, 6344, 7585, 767, 1545, 2210, 3674, 4691, 5908, 6235, 7480, 961, 1981, 2752, 3201, 4966, 5532, 7114, 8060, 262, 1477, 2752, 3495, 4966, 5843, 7109, 8133, 1008, 1337, 2934, 3938, 4495, 5671, 7028, 8028, 1024, 1318, 2764, 3921, 4559, 5995, 7143, 7924, 440, 1831, 2470, 4153, 4247, 5795, 6787, 7797, 240, 2030, 2543, 3183, 5007, 5493, 6911, 7846, 440, 2060, 2839, 3933, 4936, 6026, 6617, 7555, 440, 2088, 2944, 3253, 5167, 6170, 6920, 8054, 440, 2106, 2925, 4025, 4918, 6110, 6872, 7701, 440, 1286, 2473, 4006, 4554, 5534, 7084, 7898, 440, 2106, 2880, 4150, 5048, 6182, 6889, 7584, 901, 1865, 2880, 4076, 4398, 5892, 6755, 7369, 901, 2065, 2340, 3596, 4307, 5413, 6884, 7904, 901, 1865, 3007, 3827, 4181, 5719, 6291, 8186, 878, 1833, 2473, 3771, 4870, 5654, 7014, 7908, 153, 1304, 2278, 4153, 5052, 5705, 6612, 7846, 1064, 2097, 3053, 3870, 4668, 6148, 6670, 7428, 1008, 1239, 2808, 3442, 4857, 5297, 6840, 7439, 1080, 1239, 2170, 3687, 4800, 6207, 6404, 7248, 1036, 1758, 2146, 3575, 5123, 5940, 6790, 7271, 862, 1411, 2937, 4003, 4872, 5900, 6683, 7916, 128, 1695, 2725, 3928, 4759, 5380, 6373, 8191, 784, 1669, 2725, 3973, 4814, 6174, 7050, 7941, 1029, 1164, 2856, 3543, 4531, 5212, 7081, 7591, 150, 1349, 2678, 3167, 5159, 6118, 6760, 7591, 610, 1302, 2389, 4030, 4536, 5899, 6787, 7437, 1025, 1296, 2688, 3669, 4553, 5534, 6828, 7785, 1025, 1296, 2429, 3187, 4179, 5832, 6251, 8093, 1025, 1821, 2432, 3778, 4627, 5294, 6702, 7607, 826, 1110, 2544, 3771, 4374, 5361, 6657, 7631, 887, 1510, 2265, 4078, 5106, 5727, 7149, 7367, 1090, 1494, 2924, 3756, 4387, 5687, 7023, 7785, 610, 1350, 2582, 3384, 4622, 6084, 6900, 8245, 424, 1640, 2974, 3892, 4426, 5814, 6270, 7887, 1090, 1175, 2436, 3671, 4229, 5836, 6677, 7732, 610, 1600, 3075, 3803, 4379, 5705, 7207, 8107, 465, 1971, 2818, 4151, 4387, 5202, 6525, 8188, 656, 1695, 2346, 4094, 4539, 5897, 6263, 8012, 994, 1283, 2346, 3356, 4901, 5325, 6474, 7873, 137, 1283, 2474, 3356, 5034, 5999, 6280, 7362, 913, 1770, 2196, 3704, 4846, 5792, 6632, 7453, 663, 1770, 2436, 3391, 4971, 5341, 6980, 7887, 424, 1978, 2429, 3304, 4622, 6085, 7030, 7386, 1025, 1350, 3033, 3679, 5052, 5749, 6349, 7829, 778, 1141, 2429, 3253, 4693, 6002, 6430, 7680, 104, 1269, 2559, 3310, 4641, 5204, 6631, 7687, 104, 1975, 2261, 3413, 4665, 6218, 6604, 8013, 993, 1770, 2422, 3366, 5144, 6058, 7220, 7681, 1057, 1490, 2348, 4037, 4350, 5870, 6476, 7683, 465, 2056, 2361, 3472, 4478, 5918, 7048, 8191, 715, 1335, 2658, 3596, 4478, 6077, 6642, 7261, 568, 2127, 2339, 3746, 4289, 5730, 6663, 7842, 654, 2127, 2554, 3550, 5048, 5580, 6743, 7469, 654, 2127, 2316, 3425, 5061, 5520, 6715, 7948, 654, 1862, 2775, 3564, 4225, 5500, 7017, 8109, 654, 1862, 2839, 3440, 4983, 5310, 7103, 7865, 654, 1862, 2970, 4096, 4580, 6110, 6996, 7737, 518, 1756, 2833, 3516, 4985, 6081, 7069, 7939, 256, 2034, 2151, 3961, 5060, 5863, 7010, 7477, 405, 1508, 3139, 3251, 4870, 5658, 6717, 7664, 391, 1349, 2559, 4162, 5053, 6067, 6343, 7525, 363, 1112, 2215, 3630, 4443, 6096, 6309, 7618, 1004, 1695, 2823, 3454, 4381, 5421, 6663, 7424, 737, 1882, 2491, 3172, 4457, 5891, 7229, 7885, 462, 1550, 2751, 3237, 4514, 5636, 6932, 7527, 487, 2034, 2751, 3649, 4270, 5818, 6501, 7559, 608, 1550, 3147, 3329, 5081, 6220, 6863, 8250, 784, 1550, 3106, 3551, 4364, 5443, 6224, 7872, 150, 1397, 2661, 3479, 4539, 5603, 6726, 7480, 1029, 1948, 2298, 3307, 4966, 5441, 6726, 7291, 643, 1972, 2498, 4096, 5125, 5865, 6430, 7816, 288, 1499, 2946, 3908, 4588, 5276, 7019, 7879, 1025, 1797, 2484, 3410, 4867, 6032, 6830, 7643, 643, 1682, 2655, 3922, 4392, 6208, 6614, 7908, 887, 1682, 2440, 3201, 4918, 5493, 7014, 7838, 1090, 1856, 2440, 3807, 5088, 5632, 6584, 8083, 100, 1665, 2900, 3813, 4517, 5494, 6668, 8144, 100, 1931, 2222, 3482, 4591, 6098, 6745, 7984, 833, 1146, 3150, 3807, 4803, 5944, 6852, 7471, 1056, 1978, 3150, 3819, 4447, 6051, 6361, 8213, 100, 1577, 2772, 3395, 4891, 5804, 6306, 7389, 100, 1675, 2390, 3296, 4270, 6150, 7092, 7637, 536, 1317, 2840, 3648, 4804, 6019, 6533, 8177, 536, 1894, 2309, 4063, 5090, 5512, 7195, 7777, 462, 1738, 2390, 3578, 4820, 5408, 6632, 7647, 840, 1903, 2209, 3273, 4804, 5763, 6402, 7296, 923, 1865, 2273, 3332, 4827, 5512, 6452, 7909, 256, 1177, 2830, 3746, 4672, 6163, 7100, 7426, 699, 2061, 2309, 3248, 4580, 5579, 6422, 7642, 225, 1596, 2341, 3674, 4225, 5903, 6917, 7481, 228, 2073, 2791, 3364, 5135, 5765, 6382, 8134, 171, 1525, 2858, 3951, 5160, 5730, 7167, 7349, 1002, 2097, 2806, 3932, 4877, 5892, 7120, 8179, 201, 2017, 2781, 3803, 4583, 6139, 7124, 8147, 201, 1528, 2781, 3825, 4624, 6139, 7077, 8196, 935, 1622, 2781, 4171, 5159, 6129, 6996, 7806, 153, 1304, 2139, 3771, 4240, 6148, 7017, 7570, 186, 1876, 2340, 3803, 5080, 5534, 7129, 8093, 833, 1508, 2946, 3361, 4890, 6051, 7086, 7876, 840, 1120, 2436, 3687, 4335, 5934, 7023, 7852, 665, 1630, 2429, 3644, 4800, 5291, 6858, 7684, 1025, 1189, 2429, 3537, 4494, 5730, 6224, 7472, 610, 1141, 2729, 3866, 4589, 5565, 7084, 7727, 1056, 2125, 3150, 3870, 4635, 5216, 7132, 7474, 103, 1146, 2636, 4124, 4376, 5893, 6809, 7906, 913, 1669, 2868, 3648, 4534, 6198, 6349, 8184, 864, 1141, 2369, 4088, 4644, 5368, 7157, 7471, 876, 2050, 2175, 3205, 5164, 5302, 6697, 7698, 1008, 2050, 2902, 3205, 5196, 5264, 6826, 8019, 1008, 2050, 2302, 3205, 4820, 5656, 6458, 8156, 1008, 1740, 2902, 3409, 4208, 6092, 6456, 8139, 1008, 1682, 2302, 3999, 4548, 5656, 6917, 8156, 1016, 1972, 2274, 3568, 5191, 6147, 7103, 7508, 390, 1463, 2998, 3748, 4877, 5231, 7095, 7538, 132, 1747, 2391, 3918, 5129, 6149, 6516, 8093, 488, 2073, 2996, 4171, 5104, 6014, 7218, 8093, 818, 1874, 2989, 3932, 5104, 5883, 7132, 7949, 488, 1528, 2991, 4174, 4782, 5901, 6979, 7806, 956, 1998, 3007, 4018, 4912, 6195, 6996, 8147, 818, 1622, 3135, 3893, 4624, 6129, 7226, 7766, 186, 2111, 3135, 3440, 5038, 5635, 7239, 8237, 555, 2111, 2833, 4171, 4630, 5436, 7120, 8076, 859, 2106, 3064, 3891, 5038, 5892, 6604, 8261, 555, 1876, 2833, 3391, 4890, 5550, 7077, 7717, 818, 1648, 3021, 3891, 4798, 6139, 6515, 8196, 555, 2111, 3021, 4166, 5166, 6182, 6584, 8080, 915, 2111, 2164, 3825, 4704, 5635, 7098, 8196, 915, 1622, 3021, 3825, 4624, 5635, 6996, 8196, 488, 1528, 3021, 3893, 4624, 6139, 6584, 8223, 488, 1528, 3021, 3893, 4624, 6081, 7124, 7766, 4, 2 ]

[ 1, 31, 16, 5, 66, 63, 33, 54, 29, 44, 78, 5, 51, 57, 52, 30, 5, 16, 54, 30, 5, 30, 14, 53, 62, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7124, 8196, 142, 1528, 2914, 3825, 4704, 6186, 7124, 8196, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8196, 427, 1683, 3064, 3866, 4782, 5883, 7201, 7723, 555, 1648, 2781, 3680, 4630, 5963, 6774, 8223, 475, 1851, 2806, 3803, 5076, 5968, 6525, 7732, 440, 1827, 3130, 3916, 5120, 6085, 6830, 7811, 189, 1275, 2474, 3992, 4362, 5368, 7166, 7574, 1045, 1627, 2175, 3500, 4946, 5500, 6807, 7411, 737, 1496, 2215, 3446, 4191, 6015, 6295, 7926, 684, 1510, 2748, 3951, 4918, 5810, 6668, 8262, 804, 2063, 3095, 3616, 5166, 6131, 7090, 7664, 935, 1750, 3007, 3891, 4470, 5630, 7207, 8237, 510, 1847, 2959, 3866, 5061, 5573, 6752, 7806, 818, 1847, 3110, 4145, 4888, 6014, 6776, 8260, 935, 2000, 3135, 4145, 5038, 6139, 6709, 8195, 757, 1286, 3026, 3710, 4681, 6075, 6589, 8266, 421, 1332, 2886, 4085, 4918, 5289, 6604, 7303, 874, 1968, 2358, 3272, 4762, 5630, 6338, 7555, 568, 1386, 3026, 3852, 4246, 5656, 6486, 7744, 568, 2065, 2340, 3646, 4916, 5579, 6466, 7260, 568, 1435, 2729, 3914, 4916, 5257, 6344, 7470, 579, 1403, 2337, 3540, 4829, 5981, 6895, 7753, 1033, 1517, 2387, 3822, 4724, 5263, 6224, 7301, 360, 1164, 2848, 4055, 5045, 5276, 6226, 7617, 728, 1510, 3104, 3434, 4776, 5300, 7139, 8034, 896, 1778, 2593, 3605, 4814, 5470, 6286, 7779, 632, 1258, 2175, 3485, 4988, 5616, 6437, 8045, 363, 1985, 2697, 4015, 4199, 6117, 6234, 8240, 356, 1982, 2830, 3239, 4323, 6118, 6724, 7698, 392, 1770, 2870, 3530, 5100, 6191, 7243, 7628, 504, 1755, 2563, 3631, 4536, 5485, 7122, 7641, 504, 1637, 2887, 3616, 4855, 6040, 7001, 7557, 386, 1227, 2462, 4120, 4440, 5930, 7154, 7547, 1025, 1797, 3007, 3396, 4536, 5844, 7162, 8085, 304, 2079, 2492, 3563, 4630, 5219, 7147, 7481, 617, 1623, 2365, 3537, 4337, 5497, 6713, 8098, 225, 1141, 2181, 3771, 5135, 5705, 6521, 8081, 118, 1112, 3007, 4092, 4859, 5500, 7100, 8130, 334, 1286, 2432, 4026, 4512, 5303, 6579, 8245, 757, 1954, 2542, 3930, 4201, 5220, 6715, 7442, 617, 1623, 2468, 3827, 4611, 5586, 7098, 7876, 304, 1333, 3128, 3662, 4822, 5573, 6579, 7549, 716, 1561, 2629, 4138, 4652, 5512, 7173, 7547, 1101, 1732, 2257, 3756, 5138, 5344, 6224, 7476, 314, 1397, 2912, 3970, 5142, 5733, 6418, 8045, 1023, 1167, 2128, 3751, 5138, 5875, 6631, 7549, 266, 1695, 2940, 4137, 4636, 5972, 6947, 7494, 668, 2008, 2267, 3239, 4332, 5212, 7135, 7710, 1080, 1778, 3074, 3616, 4995, 6125, 6651, 7862, 1080, 1717, 2156, 3239, 4539, 5269, 6889, 8215, 1080, 1778, 3074, 4137, 4921, 5814, 7143, 7529, 1024, 1779, 3074, 3955, 4539, 6178, 6403, 8050, 1024, 1938, 2890, 3298, 4352, 5863, 7157, 8149, 981, 2095, 2659, 3239, 5146, 6159, 7197, 7962, 678, 1388, 2282, 3623, 4646, 5320, 6840, 8206, 448, 2024, 2156, 3761, 4790, 6147, 6943, 7513, 317, 1691, 2693, 4038, 4776, 5693, 6521, 7823, 228, 1850, 2924, 3746, 4776, 5827, 6592, 7317, 225, 1773, 2941, 3838, 4470, 5372, 7103, 8164, 654, 1826, 2315, 4151, 5061, 5372, 6890, 8185, 225, 1851, 2918, 3838, 4877, 6181, 7129, 8231, 617, 1570, 2282, 4135, 4764, 6103, 6736, 7574, 935, 2097, 2833, 3361, 4877, 5844, 7090, 7876, 915, 1847, 2659, 3586, 4555, 5223, 7006, 7716, 915, 1622, 2914, 3188, 4888, 6186, 7069, 8185, 555, 2017, 3065, 3886, 4555, 6205, 7069, 8179, 1015, 1854, 2833, 3643, 5088, 6008, 6657, 7557, 293, 2093, 2140, 4046, 4872, 5723, 6548, 7559, 1094, 2078, 2989, 4152, 4411, 5534, 6830, 7734, 485, 1313, 2876, 3563, 4973, 5880, 7030, 7940, 833, 1585, 2923, 3453, 4486, 5534, 6579, 8237, 650, 1897, 3133, 3789, 4856, 5844, 7159, 7411, 1029, 1302, 2923, 4098, 4379, 5886, 7042, 7689, 540, 1672, 2137, 3563, 4467, 5945, 6938, 8149, 784, 1848, 2766, 3543, 4302, 6135, 6770, 7504, 249, 1469, 2189, 3418, 4774, 5844, 6560, 8224, 1029, 1969, 2189, 3772, 4330, 5454, 6782, 7748, 314, 1838, 2894, 3323, 4195, 6125, 6915, 8131, 608, 1838, 3037, 3509, 5023, 6184, 6429, 7592, 386, 1529, 2484, 3740, 4420, 5971, 7159, 7405, 150, 1535, 2183, 3743, 4687, 5298, 6404, 7419, 1029, 1302, 2749, 3600, 4805, 5305, 6639, 8213, 386, 1469, 2807, 3582, 4857, 5796, 7219, 7973, 150, 1179, 2392, 3865, 4925, 5540, 6969, 7578, 271, 1469, 2439, 4057, 4983, 5572, 6408, 7538, 678, 1543, 2493, 3511, 4717, 6131, 6408, 7684, 1025, 1302, 2493, 3235, 4690, 5433, 7030, 7768, 386, 1440, 3121, 3639, 4781, 5630, 6848, 8129, 1025, 2066, 3037, 3256, 5040, 5684, 6514, 7621, 150, 2008, 2490, 3418, 5195, 5216, 6776, 8222, 643, 1469, 2807, 4049, 4543, 5586, 6467, 7528, 504, 1469, 2870, 3886, 4532, 5227, 6579, 7831, 150, 1469, 2807, 4085, 4593, 6144, 6439, 7966, 643, 2066, 2326, 3302, 5021, 6065, 6581, 7557, 504, 1469, 2360, 3706, 4570, 5694, 7017, 7966, 678, 1543, 2687, 3388, 5143, 6205, 6270, 7614, 643, 1974, 2347, 3195, 4621, 5601, 6377, 8016, 1081, 1974, 3143, 3979, 4570, 6146, 6746, 7677, 405, 2000, 2970, 3994, 4859, 5836, 6668, 7992, 684, 1682, 3043, 3987, 4918, 5767, 7090, 8085, 804, 1804, 3110, 3188, 4890, 5573, 6988, 7908, 715, 1324, 3133, 3771, 4895, 5436, 7157, 7876, 807, 1689, 2132, 3533, 4913, 5251, 6653, 7842, 540, 1557, 3040, 3424, 4607, 6104, 6408, 7800, 247, 1496, 2689, 4015, 4364, 5870, 7154, 8253, 884, 2008, 2689, 3483, 4364, 5511, 6611, 7515, 247, 1753, 2689, 4072, 5146, 5719, 6442, 8160, 399, 1716, 3029, 3824, 4619, 5791, 6570, 7571, 993, 1938, 3029, 3165, 5137, 5801, 6494, 7558, 993, 1938, 3003, 3300, 4604, 5315, 6544, 8045, 610, 2104, 2945, 3233, 4509, 6171, 6414, 7658, 1025, 1782, 2474, 3842, 4565, 5983, 7019, 7607, 1025, 1809, 3003, 3201, 4323, 5983, 7017, 7387, 993, 1773, 2165, 3233, 5193, 6218, 6961, 7606, 1025, 1296, 2750, 3791, 5126, 6171, 6648, 7724, 1025, 1809, 3003, 4030, 4323, 5640, 7069, 7953, 610, 1255, 3006, 4145, 4872, 5548, 7004, 8214, 304, 1932, 2515, 3773, 4782, 5210, 7152, 7494, 427, 1485, 2957, 3671, 5067, 6204, 7207, 7715, 1099, 1467, 2947, 4085, 5058, 5630, 7010, 8195, 804, 2046, 2880, 3982, 4366, 5883, 6786, 7485, 541, 2098, 2163, 3851, 4179, 6146, 6382, 7879, 448, 1494, 3064, 3994, 4926, 5474, 7126, 7615, 964, 1397, 3106, 3845, 4762, 5384, 6458, 7318, 830, 1951, 2902, 3313, 4364, 5387, 6751, 7930, 221, 1494, 2835, 3356, 5073, 5794, 6484, 8117, 221, 1489, 2757, 3429, 4595, 5999, 6656, 7951, 897, 2099, 2751, 3646, 4285, 5955, 6731, 7344, 492, 1702, 2954, 3214, 4778, 5320, 7056, 8062, 247, 1472, 2409, 4134, 4759, 5323, 7183, 7905, 673, 1581, 3116, 3936, 4678, 5752, 7219, 8194, 313, 2120, 2149, 3329, 4664, 5938, 6878, 7430, 404, 1895, 2643, 4026, 4302, 5776, 6571, 7997, 320, 1146, 2293, 3573, 4239, 5776, 7028, 7255, 1011, 1581, 2763, 3787, 5044, 6026, 6603, 8048, 663, 1350, 2401, 3649, 4762, 5765, 6627, 7677, 778, 1755, 2780, 4145, 4567, 5730, 6813, 7698, 887, 1227, 2678, 3975, 4691, 5204, 7069, 7838, 1090, 1850, 2965, 3918, 4389, 5678, 7019, 8036, 940, 1399, 2985, 4145, 5042, 5678, 6979, 8195, 1099, 1791, 2293, 4011, 4343, 5797, 7095, 7949, 555, 1508, 2820, 4145, 4713, 6087, 6996, 8147, 914, 1620, 2803, 3982, 5080, 6211, 7207, 7641, 475, 1992, 2957, 4145, 4877, 5219, 7006, 8147, 617, 2098, 3007, 4145, 5115, 5810, 6515, 7962, 484, 1468, 2991, 4006, 5088, 5413, 6291, 8239, 171, 1596, 3135, 3914, 5079, 5730, 7228, 7624, 860, 1528, 3110, 3680, 4630, 6211, 7124, 8147, 201, 2017, 2781, 3825, 4704, 5219, 7077, 8147, 142, 1528, 2914, 3825, 4624, 6186, 7226, 8196, 142, 1528, 2806, 3893, 4798, 6081, 7226, 8223, 488, 1622, 2164, 3893, 4624, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4512, 6186, 6794, 8223, 142, 1528, 2914, 3893, 4512, 6186, 6794, 8223, 4, 2 ]

[ 1, 76, 17, 66, 5, 44, 54, 5, 31, 16, 5, 76, 36, 52, 30, 5, 45, 78, 5, 17, 62, 5, 76, 45, 31, 5, 53, 48, 5, 5, 5, 43, 48, 5, 67, 20, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 818, 1528, 2991, 4018, 5080, 5635, 7124, 7949, 826, 1363, 2981, 3206, 5060, 5378, 6589, 8076, 424, 2124, 2189, 4011, 5143, 5942, 6669, 7254, 235, 1751, 2715, 3175, 4588, 5746, 6265, 8251, 531, 1199, 2536, 3939, 5115, 5588, 6942, 7428, 693, 2079, 2163, 3907, 4887, 6034, 6772, 8143, 693, 2011, 2399, 4078, 4469, 5789, 6772, 7683, 1005, 1968, 2378, 3731, 4350, 5249, 6807, 7971, 571, 1881, 3043, 3885, 4583, 5550, 6988, 7260, 1090, 1932, 2340, 3803, 4529, 6131, 6809, 7876, 1025, 2127, 2701, 3710, 4549, 5276, 6382, 7959, 1057, 1938, 2601, 3655, 4598, 5771, 7035, 7965, 1088, 2027, 2239, 3454, 4558, 6117, 6933, 8172, 541, 1761, 2262, 3332, 4536, 5745, 6754, 7607, 1003, 1564, 2542, 3939, 4946, 5710, 7244, 8019, 886, 1496, 2170, 3331, 5138, 5443, 6563, 8117, 856, 1938, 2191, 3515, 4851, 5565, 6827, 7824, 840, 2095, 2455, 3662, 4350, 5894, 6593, 7477, 223, 1678, 2868, 4155, 4617, 6073, 7120, 8233, 752, 1948, 3080, 3774, 4896, 5641, 7149, 7508, 1033, 1167, 3033, 3271, 4228, 6167, 7002, 7414, 150, 1227, 2429, 3771, 5110, 5903, 7126, 7927, 150, 1630, 2429, 3233, 4374, 5590, 6393, 7515, 826, 1633, 2440, 3979, 5011, 6060, 7149, 7311, 1025, 2009, 2678, 4011, 4179, 5700, 6265, 7494, 737, 1682, 2227, 3218, 4212, 6179, 6723, 7607, 212, 1828, 2260, 3794, 4778, 5615, 6957, 7979, 360, 1167, 2137, 3290, 5110, 5585, 6944, 7463, 271, 1529, 2247, 3498, 4273, 6000, 6627, 7453, 1067, 1469, 2736, 3580, 4487, 5512, 6887, 8012, 1011, 1469, 2974, 3685, 4402, 5346, 6377, 7819, 752, 1944, 2578, 4098, 4567, 5650, 7100, 7998, 1025, 1904, 2389, 3882, 4379, 5515, 6725, 7887, 1056, 1978, 2754, 3895, 5127, 5796, 7058, 7876, 663, 1791, 2736, 3521, 4533, 6147, 7006, 7458, 831, 1747, 3056, 3945, 5183, 5210, 7217, 8076, 211, 1791, 3006, 3681, 4690, 6211, 6961, 7597, 663, 1280, 3098, 3908, 5165, 6051, 7058, 7591, 980, 1620, 2943, 3886, 4888, 5378, 6709, 8185, 678, 1878, 2866, 3803, 4589, 5953, 7047, 8267, 663, 1672, 2736, 3740, 4554, 6025, 7047, 7908, 1090, 2042, 3006, 4115, 4852, 5832, 6776, 7816, 610, 1467, 2577, 3559, 5020, 5984, 6566, 7690, 887, 2035, 2834, 3899, 5106, 5567, 6254, 7570, 887, 1717, 2363, 3206, 5125, 5890, 7047, 8195, 150, 2035, 3078, 3361, 4758, 6087, 6830, 8222, 1029, 1302, 2965, 3709, 4337, 5909, 7006, 7925, 1067, 2081, 3018, 4016, 5030, 5833, 6793, 7877, 498, 2067, 2655, 3781, 5186, 5674, 7220, 7881, 538, 1512, 2345, 3502, 4422, 6223, 7174, 7704, 862, 1512, 2546, 4147, 5005, 6086, 6813, 7403, 975, 2114, 2752, 3864, 4459, 5315, 6522, 7593, 692, 1521, 2511, 3501, 4223, 6120, 6466, 7438, 864, 2034, 2546, 3857, 4764, 5302, 6514, 8169, 668, 1686, 2511, 4003, 4279, 5401, 6324, 7318, 360, 1118, 3141, 3864, 4338, 5633, 7245, 7889, 1080, 1220, 3141, 3561, 4358, 5442, 6958, 8009, 1008, 1742, 2250, 3557, 4795, 5722, 6448, 8233, 344, 1512, 2934, 3256, 4599, 6143, 6910, 7889, 664, 1236, 2655, 3887, 4864, 6086, 6758, 7931, 137, 1236, 2440, 3928, 5151, 5295, 6982, 7610, 277, 1189, 2163, 4139, 4375, 6111, 6547, 8227, 123, 1889, 2994, 3992, 4908, 5213, 6313, 8078, 344, 1490, 2695, 3808, 4272, 5220, 6375, 7877, 1103, 2043, 2281, 3165, 4842, 5787, 6796, 7979, 876, 1503, 2173, 3991, 5189, 5915, 6707, 7614, 876, 1183, 2545, 3452, 4278, 5719, 6661, 8035, 876, 1183, 2486, 3748, 5103, 5719, 6822, 7804, 1022, 1912, 2316, 3258, 4278, 5410, 6566, 7808, 424, 1912, 2677, 3771, 5110, 6061, 6466, 7428, 684, 2085, 2737, 4093, 4459, 5987, 7129, 7528, 401, 1773, 2677, 3987, 5098, 5713, 6979, 7336, 390, 1305, 2771, 4026, 5061, 6164, 6752, 7768, 363, 1717, 2271, 3623, 4981, 5344, 6986, 7468, 1023, 1719, 2415, 4161, 5198, 6056, 7053, 7888, 896, 1286, 2951, 4128, 5022, 6034, 6224, 8149, 807, 1164, 2951, 3585, 4209, 5313, 6611, 7874, 1101, 1782, 3029, 3356, 5045, 6172, 6295, 7864, 363, 1777, 2327, 4128, 4536, 5950, 6231, 7973, 504, 1164, 2940, 3356, 4750, 5250, 7035, 7889, 448, 1763, 3033, 3623, 4539, 5641, 7164, 8057, 1014, 2033, 2626, 3928, 4983, 6156, 7169, 7442, 1014, 2107, 2422, 3669, 4604, 5719, 6947, 7321, 127, 1436, 2629, 3562, 4435, 5863, 6875, 7689, 518, 1519, 2326, 3332, 4641, 5974, 7146, 7743, 518, 1963, 2783, 3550, 4881, 5584, 7079, 7956, 613, 1202, 2287, 4066, 4470, 6005, 6832, 7367, 1062, 1507, 2536, 4135, 4422, 5644, 7038, 8103, 840, 1111, 2727, 3922, 4314, 5787, 6683, 7541, 360, 1490, 3103, 4022, 4848, 5794, 6383, 7378, 249, 1828, 2713, 3306, 5050, 5787, 6663, 8253, 840, 1390, 2173, 4137, 4266, 5587, 6303, 8228, 262, 1589, 2344, 3225, 4720, 5822, 6731, 7808, 235, 1503, 2972, 4034, 4212, 5899, 7012, 8250, 956, 1876, 2166, 3240, 5166, 5500, 6603, 7290, 935, 2068, 2960, 3188, 4558, 5630, 7207, 8267, 984, 1110, 3007, 3540, 4179, 5219, 7084, 7895, 818, 1475, 2834, 4166, 4980, 5385, 6891, 8147, 488, 1175, 3110, 3982, 4704, 6103, 7201, 7723, 186, 1528, 2781, 3803, 5080, 5635, 6988, 7876, 186, 2017, 2781, 4071, 4822, 5630, 7006, 7766, 186, 2017, 2164, 4018, 4888, 6186, 7124, 8237, 818, 1705, 2914, 4071, 4980, 6081, 6979, 7723, 935, 1508, 2806, 3367, 4798, 6081, 6979, 7591, 304, 2045, 2834, 3226, 4513, 5543, 6604, 7547, 1033, 1175, 2598, 3803, 5129, 5705, 6589, 7290, 731, 1499, 2780, 3840, 4758, 5869, 6997, 7764, 1025, 1370, 2224, 3509, 5166, 5382, 7238, 8218, 784, 1897, 2659, 3519, 4179, 5755, 6582, 7598, 314, 1674, 2938, 4151, 5014, 5410, 6347, 8248, 1004, 2059, 2352, 3605, 4461, 5599, 6478, 7393, 535, 2059, 2156, 3686, 4832, 5889, 7083, 7648, 1074, 1283, 2357, 3695, 4364, 5459, 6466, 8034, 1011, 1458, 2487, 3212, 4675, 5643, 7129, 7488, 899, 1945, 2139, 3655, 4646, 5752, 6612, 7466, 256, 1851, 2419, 3581, 4412, 5610, 6302, 7304, 518, 2030, 2775, 4150, 4555, 6050, 6774, 7927, 440, 1345, 2775, 4113, 5104, 5935, 6717, 7907, 899, 2030, 3033, 3687, 4555, 6149, 7181, 8267, 956, 1218, 2946, 3982, 4859, 6175, 6717, 8237, 288, 1816, 2515, 4011, 5120, 5950, 6331, 8209, 1097, 2000, 3064, 3914, 4822, 5677, 7095, 8260, 308, 1705, 3006, 3975, 5166, 5678, 6302, 8179, 1033, 1755, 3007, 3982, 4691, 5565, 6302, 7555, 1071, 2036, 2750, 4102, 5134, 6175, 6622, 7902, 887, 2053, 2429, 3560, 4802, 5631, 6309, 7957, 104, 1388, 2661, 3660, 4346, 6131, 7244, 8214, 786, 1669, 3068, 3741, 4362, 5266, 6632, 7959, 1083, 1283, 2520, 3187, 5016, 5341, 7033, 7817, 399, 1695, 3029, 3358, 5188, 6147, 6536, 7629, 487, 1397, 2352, 3819, 4607, 5992, 6409, 8132, 807, 2059, 2366, 3792, 4511, 6080, 7126, 8077, 582, 2034, 2336, 4102, 4992, 5706, 7053, 8151, 986, 2020, 2805, 4007, 5051, 5538, 7116, 8012, 487, 1763, 2470, 4130, 4346, 5277, 7229, 8019, 678, 1706, 2440, 3543, 4421, 5800, 6474, 7404, 308, 1762, 3053, 3993, 4925, 5981, 6466, 7260, 1037, 1550, 2987, 3822, 4589, 5810, 6314, 7713, 308, 2008, 3033, 4103, 5151, 5802, 6749, 8085, 709, 1623, 3043, 4135, 4622, 5761, 6612, 8061, 1037, 1468, 2771, 3671, 4555, 6221, 6982, 7717, 980, 1550, 2973, 3323, 5001, 6184, 6430, 7530, 650, 1905, 2847, 3210, 4278, 5350, 6725, 8197, 986, 1255, 2346, 3811, 5135, 6221, 7083, 7555, 986, 1978, 2692, 3936, 4667, 5660, 7038, 7996, 807, 2033, 2565, 4132, 4777, 5843, 6525, 7759, 887, 1550, 3020, 3436, 4470, 6180, 7061, 8213, 887, 1550, 3106, 4155, 4189, 5333, 6614, 7481, 663, 1370, 2402, 3595, 4402, 5962, 7099, 7574, 256, 1675, 3026, 3394, 5009, 5830, 6646, 7349, 789, 1525, 3068, 3671, 5104, 5308, 7010, 8261, 256, 1895, 2473, 4143, 4982, 5918, 6604, 7919, 789, 1218, 2473, 3692, 4435, 5761, 6589, 7485, 789, 1791, 2473, 4071, 5083, 5515, 6607, 7664, 789, 1452, 2991, 4011, 4859, 6110, 6988, 7312, 440, 1597, 2554, 4011, 4859, 5296, 6612, 7806, 789, 1998, 2875, 4113, 4737, 6110, 7103, 7723, 543, 1851, 2718, 3966, 4681, 5514, 7201, 8223, 914, 1370, 2340, 4092, 4822, 5515, 7207, 8213, 716, 1178, 2737, 3656, 4205, 5636, 6935, 7545, 360, 1582, 2997, 3755, 4706, 5685, 6497, 7951, 988, 1426, 2224, 3701, 5114, 5794, 7191, 7815, 360, 1674, 2541, 3580, 4540, 5756, 6411, 7836, 1067, 1974, 2372, 3576, 4417, 5411, 7142, 8055, 531, 1130, 2198, 3741, 4205, 5235, 6252, 8101, 459, 1409, 2170, 3708, 4205, 5347, 6805, 7862, 763, 2008, 2173, 3816, 4364, 5796, 6797, 7930, 242, 2107, 2951, 3299, 4741, 6066, 6683, 7975, 504, 1898, 2576, 3434, 4213, 5970, 6858, 7962, 763, 1224, 2365, 3478, 4661, 5491, 6494, 7988, 725, 1248, 2445, 3937, 4691, 6217, 7021, 8218, 397, 1993, 3000, 4112, 4756, 5286, 6940, 7688, 1038, 1543, 2429, 3493, 4945, 5249, 6267, 8246, 779, 1167, 2436, 4108, 5169, 5548, 7129, 8237, 804, 1998, 2754, 3259, 4792, 6063, 6776, 7717, 183, 1349, 2991, 3603, 5153, 5641, 7095, 7891, 552, 1695, 3133, 3819, 5193, 5760, 6376, 8044, 186, 1684, 2834, 3994, 4861, 6175, 7090, 8261, 201, 2032, 2834, 3803, 4861, 5832, 7239, 7720, 201, 1528, 2781, 3803, 4704, 6186, 7226, 7766, 488, 1528, 2806, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8147, 915, 2017, 2970, 3914, 4798, 6186, 7226, 7664, 555, 1974, 3021, 4145, 5079, 5241, 6584, 7766, 859, 1695, 2340, 4071, 4622, 5677, 6589, 8236, 555, 1695, 3150, 4018, 5038, 5385, 6251, 7716, 859, 2127, 3147, 4068, 4423, 5436, 7077, 7664, 859, 1750, 2858, 3891, 4681, 5241, 6584, 7865, 555, 1468, 2970, 3827, 4762, 5438, 7124, 7563, 555, 1684, 2858, 4166, 4681, 5901, 6752, 8237, 555, 1623, 2806, 4166, 4681, 6163, 6515, 7732, 555, 1648, 2858, 3827, 4622, 5635, 7077, 8126, 859, 1750, 2970, 3827, 4512, 5635, 6996, 7664, 915, 1345, 2806, 3595, 5160, 5901, 6579, 7715, 859, 1974, 3064, 4145, 4870, 5515, 6996, 7563, 859, 1750, 2970, 3827, 4583, 5811, 7077, 7563, 859, 2127, 2833, 3914, 4387, 6149, 6988, 8083, 859, 1750, 2970, 3550, 4798, 5963, 6671, 8261, 859, 1750, 2970, 3550, 4681, 6137, 6677, 7723, 4, 2 ]

[ 1, 64, 66, 63, 33, 55, 67, 16, 54, 44, 55, 5, 43, 44, 53, 64, 33, 52, 41, 5, 16, 54, 73, 5, 16, 54, 30, 5, 41, 45, 52, 30, 5, 76, 45, 31, 5, 62, 63, 26, 30, 5, 31, 14, 66, 5, 43, 48, 5, 65, 69, 30, 5, 28, 48, 5, 31, 16, 5, 41, 36, 64, 66, 5, 66, 73, 5, 35, 26, 75, 5, 5, 3, 518, 1440, 2355, 4057, 4225, 5280, 7146, 8236, 256, 1496, 3084, 3420, 4555, 5290, 6551, 8208, 617, 2127, 2942, 4121, 4918, 5548, 7103, 8189, 183, 1510, 3084, 4015, 4255, 5637, 6302, 7677, 541, 1300, 2886, 3623, 4429, 5908, 6938, 7528, 183, 1300, 3026, 3680, 4439, 5719, 7222, 8078, 1033, 1333, 2381, 3272, 5038, 5524, 6838, 7557, 611, 1763, 2511, 3530, 4985, 5861, 6629, 7920, 805, 1415, 2958, 3423, 4848, 5651, 7064, 8115, 1080, 1586, 2171, 3913, 4636, 5489, 7128, 7785, 668, 1669, 2633, 3742, 4384, 5790, 6537, 7849, 511, 1118, 2693, 3686, 4444, 5875, 6625, 7260, 831, 1674, 2171, 4132, 4954, 5803, 6383, 8140, 731, 1633, 2897, 3253, 4279, 5534, 6413, 7688, 391, 1415, 2371, 3928, 4337, 5761, 6988, 8025, 216, 2102, 2436, 3901, 4885, 6025, 6910, 7260, 401, 2091, 2429, 3206, 4388, 5437, 6283, 7718, 678, 1561, 2754, 4082, 4374, 5893, 6972, 7767, 401, 1402, 3001, 3410, 4720, 5869, 7095, 7641, 512, 1998, 2340, 3407, 4630, 5204, 6239, 7908, 915, 2017, 3109, 4018, 5169, 5968, 7132, 7838, 984, 1869, 2925, 3891, 5153, 5630, 6515, 8195, 789, 2030, 2542, 3886, 4611, 5500, 6256, 8237, 518, 2030, 3026, 3356, 4870, 5548, 7222, 8261, 256, 1736, 2858, 4113, 4918, 5719, 6755, 8236, 256, 1496, 2659, 3364, 4993, 5838, 7003, 8047, 475, 2065, 2221, 3188, 4214, 5962, 7160, 7349, 216, 1508, 2771, 3975, 4586, 5942, 6348, 7948, 640, 2095, 2626, 4015, 5011, 6016, 6565, 8224, 314, 1938, 3040, 4085, 4717, 5345, 6763, 8126, 363, 1440, 2629, 4153, 4743, 5746, 6926, 7279, 1025, 1884, 2527, 4155, 4225, 5991, 6881, 7591, 948, 2081, 2462, 3605, 5157, 5765, 6605, 7764, 386, 1976, 2142, 3605, 4616, 5610, 6377, 8129, 807, 1938, 2687, 3819, 4470, 5584, 7222, 7873, 266, 1985, 2905, 4038, 4911, 5715, 6663, 7751, 986, 1563, 2173, 3476, 5111, 6135, 7038, 7740, 504, 1928, 2693, 3939, 4842, 5408, 6924, 8266, 643, 1797, 2944, 3848, 4555, 5976, 6267, 7255, 887, 1717, 2432, 3181, 4346, 5824, 6239, 8267, 504, 1255, 3080, 4017, 4670, 5750, 6608, 7468, 1029, 1773, 2767, 4007, 4713, 5550, 6241, 7687, 465, 1778, 2905, 3455, 5154, 6026, 6668, 8149, 1067, 2013, 2659, 3238, 5166, 5983, 6840, 7602, 1025, 1797, 2860, 3355, 5020, 5573, 6630, 8205, 643, 1682, 2638, 3188, 4589, 5491, 6830, 7887, 405, 1992, 2573, 3955, 4374, 6163, 7002, 7336, 617, 1320, 2469, 4108, 4437, 5306, 7084, 7664, 225, 1525, 2953, 4043, 4186, 5795, 7138, 7941, 225, 1949, 3133, 3886, 4225, 6110, 6443, 7602, 654, 1345, 3064, 3933, 4863, 5844, 6579, 8061, 654, 2030, 2302, 3891, 5138, 5580, 6850, 8213, 228, 2061, 2473, 3832, 4868, 6171, 6309, 8179, 183, 1185, 2729, 4113, 4398, 6163, 7079, 7557, 833, 1684, 2771, 4153, 5079, 5483, 7090, 8061, 716, 2114, 2254, 3909, 5193, 5610, 6859, 7383, 840, 1349, 2997, 3837, 5124, 5658, 6532, 7389, 723, 1596, 2314, 3356, 4186, 5787, 6529, 7726, 1067, 2105, 3040, 3192, 4999, 5325, 7212, 8161, 1067, 1777, 2173, 3421, 5031, 5952, 6962, 7913, 961, 2009, 2345, 3420, 4842, 5900, 6707, 7954, 390, 1146, 3150, 3376, 4435, 5447, 6588, 8266, 440, 2020, 2709, 3376, 4411, 5827, 6417, 7641, 789, 1525, 2746, 3961, 4993, 5944, 6771, 7791, 256, 2060, 2754, 4096, 4533, 5624, 6774, 7641, 256, 1452, 3006, 4153, 4398, 5219, 6889, 7574, 878, 1597, 2293, 4011, 5183, 5963, 7082, 8179, 878, 1141, 3144, 3364, 4881, 6070, 6840, 7593, 484, 2097, 2771, 3932, 5159, 5963, 6619, 7732, 767, 2047, 2293, 3710, 4546, 5821, 6474, 8248, 271, 1490, 2629, 3425, 4719, 6207, 6735, 7905, 150, 2008, 2953, 3579, 4713, 6179, 6614, 7555, 1025, 1716, 2132, 3884, 4604, 6155, 6308, 7583, 1025, 1773, 3098, 3909, 4925, 5413, 6677, 8236, 643, 1850, 2865, 3238, 4451, 5974, 7162, 7704, 1033, 1428, 2970, 4017, 5083, 6146, 7114, 7870, 1033, 1721, 2659, 3975, 5153, 5573, 6980, 7641, 887, 1227, 2659, 3932, 4896, 5289, 7220, 8227, 887, 1227, 2659, 3822, 4287, 5585, 6850, 7677, 887, 2053, 2373, 4027, 4896, 5737, 6850, 7959, 986, 1499, 2933, 3536, 4321, 5787, 7019, 7953, 150, 1129, 2974, 3664, 4321, 6073, 6480, 7724, 150, 1553, 2346, 3776, 4321, 5390, 6933, 7367, 443, 1550, 2701, 3421, 4195, 5981, 7010, 8227, 826, 1550, 2874, 3182, 4804, 6194, 6325, 8006, 826, 1570, 2366, 3751, 4321, 5954, 6432, 8049, 424, 1333, 2346, 3560, 4536, 5811, 6466, 7954, 1084, 1932, 2987, 3430, 5151, 5512, 6870, 7574, 850, 2059, 2759, 3968, 5128, 6041, 6840, 7823, 826, 2059, 3141, 3427, 4429, 6163, 6732, 7921, 104, 1317, 2797, 3966, 4606, 6073, 6850, 7492, 1011, 1685, 2691, 4021, 4646, 5419, 6426, 7524, 408, 1858, 3149, 4147, 4763, 5369, 6458, 8206, 641, 1205, 2584, 3358, 4594, 5699, 6453, 7742, 938, 1205, 2797, 3332, 4950, 5827, 7100, 7881, 641, 1468, 3072, 3218, 5103, 6171, 6883, 7626, 408, 1318, 2944, 3218, 5096, 5318, 6799, 7578, 850, 1178, 2487, 3498, 4285, 6142, 7224, 7405, 826, 1434, 2655, 3840, 4334, 5745, 6354, 8071, 938, 2033, 2698, 3218, 4927, 5745, 6431, 7807, 344, 1582, 3034, 3328, 4901, 6135, 6722, 8234, 569, 1871, 2261, 3751, 5074, 5841, 7140, 7955, 981, 1919, 2813, 3751, 5019, 5454, 6466, 7284, 91, 2095, 3061, 3901, 4773, 5923, 6703, 7978, 484, 2065, 2936, 3886, 4259, 5548, 6426, 7591, 427, 1424, 2315, 3680, 4782, 6007, 6677, 8179, 510, 1175, 2989, 4011, 4980, 6051, 7019, 8076, 818, 2064, 3006, 3201, 4630, 5241, 7218, 7723, 552, 1218, 2970, 3866, 5145, 5219, 7168, 7723, 617, 1938, 3006, 3300, 5166, 5824, 7129, 7421, 757, 1750, 2989, 3391, 5007, 5296, 6878, 7664, 617, 1468, 2833, 3982, 4590, 5385, 7000, 8185, 617, 1468, 3143, 4153, 4580, 5586, 6840, 7865, 617, 1332, 2941, 3914, 4512, 5514, 6810, 7563, 617, 1750, 2970, 3891, 4583, 5987, 6986, 8080, 617, 1468, 2833, 3550, 4681, 5385, 6810, 7264, 617, 1695, 2370, 4083, 4549, 5987, 7160, 8262, 617, 1289, 2941, 3320, 4583, 6160, 6988, 8190, 617, 1750, 2370, 3891, 5138, 5766, 6747, 8261, 105, 1372, 2833, 3891, 4423, 5935, 7103, 7303, 859, 1332, 2858, 3217, 4870, 5296, 6809, 7664, 859, 1332, 2554, 3374, 4681, 5385, 7091, 7563, 555, 2017, 2833, 3374, 5060, 5241, 7120, 8076, 186, 2032, 2970, 3891, 5060, 5963, 6988, 8126, 860, 1528, 3117, 3367, 5060, 6139, 7077, 8223, 488, 1528, 2833, 4071, 5060, 6139, 7077, 7766, 419, 1490, 2806, 3931, 4398, 5635, 6604, 7831, 878, 1695, 2709, 3413, 4855, 5658, 7129, 7823, 897, 1375, 2951, 3804, 4376, 6002, 7156, 8158, 584, 1388, 2951, 3267, 4213, 5512, 6695, 7842, 897, 1695, 2954, 4030, 4678, 5341, 6683, 7794, 326, 1472, 2218, 3960, 4495, 5776, 6411, 7675, 1011, 1581, 3033, 3562, 4592, 5765, 7197, 8017, 104, 1350, 2487, 3224, 4686, 5438, 6885, 8230, 391, 1982, 2271, 4102, 4186, 5462, 6806, 8188, 955, 1171, 2944, 4115, 4925, 5978, 6889, 8188, 211, 2068, 3080, 4085, 4447, 6129, 7160, 8066, 405, 1566, 3080, 3761, 4533, 5702, 6775, 7574, 308, 1847, 2947, 3982, 4870, 5892, 6709, 7717, 789, 1945, 2925, 4145, 4573, 5580, 7149, 7827, 256, 1600, 2473, 3407, 5145, 6175, 6901, 7827, 256, 2030, 2925, 3949, 5061, 5832, 6338, 7927, 256, 2111, 2839, 4113, 5144, 5350, 6786, 7557, 878, 1847, 2970, 4113, 4844, 5385, 6776, 7393, 901, 2060, 2802, 4071, 4844, 5368, 6588, 7555, 568, 2030, 2139, 3320, 4916, 5714, 7192, 7664, 757, 2111, 2754, 3535, 4512, 5643, 6884, 7870, 401, 1459, 2469, 3445, 4870, 5573, 7129, 7969, 731, 1315, 2987, 3866, 4459, 5565, 6864, 7557, 728, 1286, 2487, 4128, 4842, 5664, 6442, 7375, 938, 1349, 2934, 3666, 5151, 5223, 6507, 7904, 1080, 1938, 2514, 3973, 4594, 5674, 6710, 7867, 1019, 1827, 2875, 3581, 4189, 6037, 6595, 8189, 1038, 1826, 2607, 3672, 4318, 6031, 6812, 7303, 876, 1826, 2814, 4158, 4796, 6031, 7102, 7527, 1008, 1305, 2274, 3992, 4612, 5624, 6954, 7248, 277, 1305, 2961, 3689, 4595, 6070, 7186, 7885, 938, 1906, 2486, 4046, 5111, 5863, 6517, 8145, 767, 1740, 3089, 3563, 4655, 6120, 6717, 7435, 948, 1988, 2876, 4073, 4675, 5716, 6703, 7903, 831, 2050, 2255, 3233, 4960, 5672, 6241, 8224, 731, 1600, 2814, 3793, 4983, 5900, 6542, 7865, 401, 1400, 2990, 3439, 4859, 5910, 7140, 7602, 405, 1141, 2998, 3866, 4849, 5727, 6688, 7536, 767, 1562, 2975, 4166, 4376, 5899, 7237, 7699, 779, 1370, 3007, 4168, 5079, 5216, 6935, 8179, 767, 1770, 3143, 3226, 4387, 5405, 6512, 8126, 304, 1907, 3064, 4114, 5060, 5883, 6975, 7290, 942, 1251, 2465, 3710, 5115, 6103, 7010, 8107, 948, 1621, 2493, 4098, 4303, 6218, 6283, 8252, 611, 2061, 3151, 3870, 4385, 5829, 7200, 8012, 992, 1830, 2282, 3878, 4807, 5870, 6820, 7951, 864, 1252, 3049, 3407, 4679, 5508, 6738, 7688, 171, 1981, 2638, 3662, 4855, 5921, 6672, 8181, 256, 1388, 2310, 4120, 4872, 5613, 7192, 7510, 789, 2024, 2468, 3649, 4911, 6149, 6265, 8236, 256, 1856, 2669, 4073, 4437, 5998, 6752, 7557, 818, 1268, 3098, 3231, 4533, 5796, 7044, 8237, 818, 1992, 3007, 4085, 5166, 6103, 7168, 7641, 818, 1175, 2164, 3226, 5165, 5635, 7077, 8260, 818, 1992, 3007, 3886, 5080, 6103, 6794, 7766, 818, 1175, 2991, 3886, 5165, 5241, 6515, 8267, 818, 2017, 3095, 3893, 4624, 6186, 7226, 8147, 818, 1528, 2164, 3893, 4912, 6139, 7239, 8223, 415, 1810, 2154, 3515, 4894, 5333, 7012, 7487, 1015, 1689, 3046, 3550, 4512, 6011, 6235, 7811, 153, 1332, 3062, 3440, 4387, 5730, 6589, 8145, 1102, 1668, 2436, 3815, 4423, 5677, 7098, 7509, 840, 1424, 2975, 4034, 4651, 6067, 7140, 7311, 581, 1812, 3001, 3313, 4761, 5510, 6830, 7793, 692, 1278, 2905, 3252, 4338, 6086, 6999, 7519, 1067, 1387, 2741, 3269, 4946, 5972, 6828, 7607, 725, 2050, 3037, 3690, 4600, 6015, 6426, 7607, 465, 1151, 3040, 3694, 5041, 5648, 6360, 7436, 1066, 1720, 3040, 3471, 4755, 5337, 6663, 8252, 1066, 1786, 2137, 3404, 4755, 6118, 6565, 8017, 923, 1609, 2137, 3533, 5151, 5977, 6443, 7640, 895, 1828, 2725, 3915, 4197, 5624, 6556, 7611, 639, 1796, 2636, 3520, 4850, 5863, 6226, 7801, 1040, 1496, 2316, 3688, 4833, 5538, 6998, 8039, 492, 1510, 2529, 3735, 4678, 6169, 7142, 7951, 247, 2099, 2487, 4013, 5070, 6047, 6614, 7524, 407, 1510, 2348, 3332, 5188, 5495, 6663, 7683, 493, 1397, 2355, 3399, 5195, 5490, 6255, 8240, 161, 1695, 3106, 3785, 5122, 5828, 6601, 8046, 807, 1327, 2487, 4037, 4969, 5800, 7067, 7577, 1019, 1597, 2610, 3492, 5045, 6135, 7082, 8117, 1019, 1695, 2316, 3410, 4897, 5706, 7224, 7675, 807, 1211, 2316, 3894, 4539, 5971, 7163, 8117, 103, 1494, 2361, 3623, 5045, 5325, 6231, 8034, 512, 1306, 2729, 4174, 5080, 6137, 7047, 7723, 1056, 1620, 2591, 3945, 4630, 5835, 6988, 7557, 211, 1871, 2957, 3827, 4387, 5883, 6734, 8193, 103, 2098, 2980, 3807, 4549, 5810, 7014, 8252, 569, 1471, 3003, 3695, 4762, 5204, 6302, 7918, 1024, 1471, 2232, 3446, 5072, 5341, 6821, 7904, 913, 1979, 3097, 3656, 4364, 6187, 6478, 8050, 804, 1349, 2880, 3967, 4868, 6206, 6467, 7578, 818, 1467, 2970, 3440, 5080, 5340, 6515, 7965, 186, 1175, 2746, 4108, 4870, 6051, 6972, 8267, 818, 2017, 3006, 3803, 4583, 6186, 7218, 7806, 488, 1528, 2164, 3825, 4630, 5705, 7239, 8147, 555, 2111, 2970, 4071, 5038, 5767, 6589, 8080, 859, 2111, 2970, 4166, 4583, 5811, 7201, 7876, 105, 2106, 2858, 4068, 4181, 6129, 7129, 7920, 105, 1736, 2839, 3391, 5157, 6163, 6810, 8164, 915, 2111, 2554, 3825, 5160, 5219, 6996, 8261, 488, 1528, 3117, 3367, 5038, 5981, 7129, 7766, 488, 2017, 2806, 3893, 4624, 6139, 7077, 8147, 142, 1528, 2806, 3825, 4704, 6186, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 555, 1623, 2164, 3825, 4890, 5901, 7124, 7723, 915, 1191, 3117, 4174, 5038, 5635, 6752, 7723, 756, 2000, 2254, 3770, 5127, 5223, 6302, 7557, 640, 1424, 2346, 3917, 5011, 6015, 7076, 7438, 189, 1977, 2725, 3413, 5070, 6043, 7219, 7355, 462, 1695, 3047, 3394, 5031, 5616, 6913, 7856, 759, 1492, 2257, 3566, 4315, 5880, 6924, 8034, 1025, 1462, 3033, 4125, 4307, 6030, 6696, 7438, 399, 1695, 2660, 4067, 5113, 5605, 6627, 8034, 487, 2055, 2610, 3329, 4495, 5894, 6313, 7271, 487, 2055, 2148, 3329, 4338, 5728, 6875, 7843, 986, 1820, 2156, 3375, 4804, 5954, 7004, 7260, 103, 2125, 2480, 3967, 4318, 5589, 6348, 7313, 757, 1885, 2287, 3711, 4853, 5408, 6809, 7959, 334, 1286, 2468, 3714, 4670, 5456, 6566, 7929, 118, 1112, 3049, 3811, 4859, 5514, 6884, 7969, 421, 1633, 2335, 3363, 4923, 5431, 7001, 7318, 757, 1300, 3021, 4113, 5150, 5436, 6461, 8077, 617, 1684, 3135, 3955, 4638, 5844, 7120, 7948, 401, 1684, 2874, 3245, 4549, 5609, 6810, 8261, 304, 1494, 2895, 3340, 4896, 5695, 6476, 7971, 314, 1826, 2923, 3261, 5138, 5613, 6985, 7703, 443, 1826, 3029, 3393, 4592, 5369, 6525, 8197, 405, 1752, 2794, 3732, 4841, 5218, 6847, 7920, 804, 1660, 2244, 3917, 5058, 5883, 6830, 8236, 390, 1881, 2838, 4097, 4888, 5832, 7201, 7602, 980, 1869, 3008, 4033, 5165, 6175, 7207, 7918, 211, 1881, 2164, 3440, 4798, 6182, 6794, 8237, 304, 1620, 2360, 4145, 5038, 6063, 7201, 7723, 884, 1171, 2886, 4143, 4691, 6194, 6521, 7919, 807, 2033, 2552, 3376, 4935, 5523, 7224, 7531, 986, 2033, 2867, 3822, 4604, 5437, 6265, 8197, 487, 1393, 2750, 3376, 4574, 5532, 6840, 8139, 487, 2001, 2836, 4096, 4797, 5943, 6982, 7271, 1025, 1794, 2282, 3639, 4604, 5627, 7078, 7421, 288, 2065, 2798, 3516, 4872, 5844, 7218, 7303, 405, 1171, 2820, 3909, 4337, 5633, 6901, 7421, 1025, 1986, 2282, 3899, 4181, 6208, 7160, 7411, 1057, 1828, 2188, 3345, 4506, 5396, 6348, 7967, 884, 1828, 3037, 3865, 4601, 5660, 7025, 7756, 271, 1735, 2134, 3398, 4755, 5610, 6748, 8044, 373, 1463, 2970, 3453, 5138, 5548, 6237, 7472, 518, 1750, 2473, 3167, 4383, 5706, 6771, 8128, 256, 2030, 2669, 4150, 4437, 5650, 6901, 7811, 440, 1608, 2473, 3866, 4387, 5650, 6752, 8130, 256, 1851, 2349, 3391, 4398, 5713, 7127, 7557, 256, 1108, 2904, 4011, 4350, 5586, 6810, 7716, 256, 1108, 3006, 3891, 4638, 6085, 7090, 8179, 256, 1851, 2959, 4006, 4276, 5548, 7024, 7288, 256, 1623, 2542, 4174, 4398, 6205, 6909, 7664, 617, 1851, 3135, 3391, 4622, 5630, 7023, 8130, 171, 1827, 2293, 3914, 4681, 5475, 6657, 8267, 262, 1668, 2783, 3978, 5098, 5534, 6658, 7831, 803, 1324, 2321, 3434, 4842, 6017, 6887, 7313, 784, 1145, 2905, 3437, 4311, 5575, 6631, 8082, 1101, 1509, 2511, 3708, 5134, 5491, 6493, 8049, 725, 1758, 2766, 3782, 5194, 5239, 6529, 7486, 465, 1758, 2678, 3194, 5134, 6162, 6529, 7367, 1057, 1884, 2348, 3161, 4214, 6056, 6244, 7576, 952, 1915, 2349, 4074, 5054, 6078, 7229, 7970, 183, 1171, 2533, 4124, 4675, 5796, 6844, 7828, 225, 2002, 2987, 4078, 4918, 6123, 6991, 7494, 225, 1826, 2239, 3904, 4764, 5837, 6889, 8083, 225, 2097, 2992, 3831, 4918, 5514, 6615, 7677, 228, 1461, 2858, 4113, 5167, 5609, 7129, 7983, 228, 1426, 2718, 3931, 4878, 6119, 7168, 8132, 789, 1974, 2593, 3951, 5179, 5310, 7100, 8080, 555, 1468, 2970, 3914, 4704, 5241, 7077, 7677, 818, 1528, 2554, 3886, 4555, 6139, 6996, 8237, 518, 2098, 2554, 3374, 4555, 5298, 6589, 8261, 334, 1846, 2834, 4015, 4923, 6110, 6584, 7480, 757, 1269, 2833, 3313, 5120, 6115, 6740, 7838, 171, 1758, 3133, 3407, 4867, 5942, 6671, 7386, 171, 1523, 3092, 3595, 5058, 5701, 6346, 7816, 1033, 1499, 2890, 3602, 4374, 5749, 7221, 8083, 223, 1678, 3112, 3856, 4847, 5570, 7129, 7574, 540, 2035, 2189, 3467, 4468, 5870, 6938, 8027, 784, 1469, 2189, 3426, 4351, 5683, 7230, 7679, 504, 1205, 2875, 4091, 4781, 5991, 6631, 7748, 271, 1777, 2529, 3960, 4518, 5585, 6563, 8192, 150, 1582, 2708, 3371, 5008, 5286, 7035, 7490, 504, 2008, 2210, 3872, 4401, 6221, 6978, 7842, 1029, 1845, 3066, 3300, 4594, 6063, 6302, 7586, 104, 1663, 2905, 3167, 4662, 5288, 7047, 7309, 887, 1402, 2856, 4122, 4630, 6208, 7181, 8023, 150, 1459, 2878, 4093, 4651, 6214, 7122, 7423, 150, 1424, 2727, 3767, 5003, 5942, 6750, 8075, 610, 1628, 3108, 3922, 4803, 5536, 6648, 7621, 610, 1477, 2424, 3649, 4513, 6078, 6516, 7624, 826, 1871, 2130, 3370, 5075, 5841, 6684, 7948, 458, 1499, 2701, 3946, 4321, 5550, 6874, 7930, 137, 1865, 2660, 3979, 4835, 5491, 6813, 7558, 508, 2053, 2227, 3195, 4205, 5969, 6811, 7626, 508, 1919, 2580, 3748, 4966, 6219, 6413, 7951, 1066, 1490, 3085, 4163, 4244, 5313, 7229, 7791, 620, 1615, 2783, 3314, 4208, 5691, 6595, 8026, 1052, 1665, 3130, 4004, 5111, 6010, 6625, 7877, 620, 1675, 3080, 3912, 5040, 6002, 6850, 7534, 1003, 1269, 2580, 3680, 4843, 6204, 6886, 8061, 482, 2059, 2435, 3205, 4580, 5384, 7074, 7725, 995, 2059, 2438, 3531, 4995, 5983, 6480, 7510, 482, 1510, 2233, 3741, 4350, 6006, 6838, 7476, 776, 1510, 2866, 3764, 4399, 5346, 6449, 7895, 662, 1108, 3101, 3298, 4717, 5348, 7065, 7880, 139, 2094, 2841, 3373, 4350, 6145, 7163, 7756, 662, 1919, 2188, 4007, 4538, 5827, 6474, 7376, 693, 1472, 2942, 3358, 4901, 5341, 6618, 7318, 693, 1178, 2378, 3256, 4420, 5443, 6603, 8221, 620, 1557, 3032, 3873, 5040, 6086, 7161, 7462, 1024, 1758, 2536, 3515, 4881, 6217, 6978, 8096, 678, 2059, 2470, 3478, 4476, 6181, 7042, 7869, 390, 2060, 2383, 3949, 4437, 5756, 6478, 7607, 440, 1918, 2904, 3870, 4626, 5734, 6830, 7593, 789, 1963, 2820, 3826, 4881, 6110, 6234, 7631, 756, 1139, 2365, 3391, 4859, 5840, 6607, 7480, 1037, 1496, 2703, 3680, 5165, 6222, 7237, 7568, 308, 2065, 3144, 3994, 5095, 6051, 7207, 8195, 171, 2125, 2959, 4145, 5125, 6007, 6702, 7776, 488, 2065, 2949, 4145, 4704, 6139, 7132, 8080, 142, 2017, 2914, 3825, 4704, 6139, 6794, 8147, 142, 2017, 2914, 3367, 4704, 6186, 7226, 8223, 488, 1528, 3065, 3893, 4624, 5635, 6752, 8223, 859, 1332, 2554, 3891, 5160, 5901, 6677, 8261, 859, 2106, 3064, 3891, 4512, 5515, 6515, 8223, 859, 2111, 2970, 3391, 4681, 5987, 6251, 7723, 555, 1468, 2775, 4071, 4387, 5981, 6515, 7732, 555, 1345, 2959, 4068, 5190, 5677, 7017, 8080, 4, 2 ]

[ 1, 76, 45, 55, 51, 44, 55, 5, 43, 35, 5, 76, 26, 66, 5, 26, 52, 15, 65, 44, 78, 5, 75, 33, 63, 47, 5, 41, 14, 64, 66, 5, 5, 3, 142, 2017, 3117, 3367, 4704, 6211, 6709, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 804, 1869, 3043, 3982, 5038, 5635, 7006, 7485, 160, 2035, 3007, 3492, 5145, 5630, 6859, 7957, 160, 2094, 2999, 3480, 4867, 5730, 7157, 7586, 750, 1879, 2389, 4097, 4801, 5675, 6304, 7664, 1035, 1753, 2584, 4032, 5164, 5943, 7126, 8174, 247, 1171, 2491, 3430, 5072, 5765, 7030, 7367, 807, 1118, 2516, 3613, 4565, 5656, 6799, 8073, 807, 1640, 2514, 3943, 4539, 5640, 6238, 7992, 103, 2053, 2399, 3417, 4813, 6002, 6933, 7791, 1090, 1244, 2436, 3218, 4267, 6001, 7019, 8066, 424, 1463, 2487, 3472, 4641, 5761, 6957, 7869, 663, 1913, 2429, 3886, 4780, 5565, 6584, 7706, 308, 1175, 2492, 3803, 4630, 6131, 6871, 8147, 804, 1269, 3095, 3710, 5183, 5963, 6515, 7563, 859, 1623, 2947, 3550, 4895, 6058, 7129, 7279, 105, 1623, 2436, 4047, 4780, 5651, 6515, 8083, 356, 2067, 2554, 4145, 4849, 5210, 7120, 7852, 103, 2021, 2163, 4047, 4437, 5446, 7207, 7592, 887, 1550, 2716, 3593, 4902, 5968, 7023, 8061, 986, 1879, 2751, 3584, 4694, 5318, 6929, 7987, 807, 1296, 2751, 3915, 4483, 5878, 7229, 7900, 936, 1815, 3145, 3924, 4881, 5454, 6267, 7542, 936, 1815, 2520, 4015, 4343, 5224, 6813, 8069, 386, 1808, 2387, 4007, 4534, 5558, 6267, 7510, 150, 1326, 2901, 3943, 4321, 5633, 6540, 7643, 643, 1326, 2610, 3838, 4867, 5925, 7160, 7687, 970, 2081, 2462, 3909, 4764, 5344, 6676, 8164, 678, 1563, 3020, 4115, 4690, 5901, 6918, 7355, 940, 1982, 3098, 3231, 4859, 5767, 7004, 7256, 150, 1399, 3064, 3918, 5129, 5586, 7220, 8093, 643, 1562, 2926, 3453, 5095, 5364, 7111, 8261, 887, 1496, 2578, 3560, 4792, 6018, 6581, 8261, 1084, 2036, 3130, 3965, 4415, 5300, 6848, 7546, 1062, 1681, 2429, 3192, 4181, 5285, 6973, 7312, 1057, 1728, 2436, 3300, 4760, 5474, 6983, 8088, 465, 1865, 2563, 3802, 4364, 5721, 6409, 7774, 271, 1865, 3102, 3634, 4764, 5641, 7049, 7360, 277, 1141, 2757, 3979, 4717, 5478, 6932, 7875, 692, 1486, 2813, 3560, 4239, 5512, 6595, 7578, 864, 1786, 2218, 3479, 4883, 5474, 6827, 8128, 1024, 1427, 2446, 3427, 4565, 5474, 6265, 7820, 547, 1897, 2515, 3400, 4219, 5592, 6286, 7594, 424, 1120, 2965, 4135, 4379, 5469, 6809, 7458, 663, 1120, 2980, 3512, 4872, 5241, 6734, 8076, 779, 1847, 2321, 3568, 4870, 5968, 6235, 7764, 308, 2068, 2556, 4067, 5125, 5630, 6755, 7570, 684, 1812, 2932, 3945, 5058, 6222, 7217, 7641, 980, 1943, 2360, 3201, 5061, 5650, 6302, 8260, 678, 1750, 2996, 3909, 5060, 5899, 6688, 7768, 1024, 1913, 2224, 3176, 5145, 5631, 6750, 7385, 235, 1919, 3098, 3288, 4270, 5317, 6714, 7918, 1063, 1737, 2373, 3411, 4343, 5449, 7048, 7835, 508, 1849, 2882, 4086, 4688, 5644, 6639, 8205, 1052, 1199, 2715, 3883, 4915, 5209, 6851, 8141, 508, 1489, 2159, 4110, 5135, 5965, 6985, 8046, 1062, 1171, 2670, 3770, 4372, 6202, 6540, 7637, 113, 1490, 2775, 3394, 5195, 5569, 6318, 8067, 610, 1876, 2238, 4140, 4284, 5204, 6566, 8079, 103, 1849, 3101, 4146, 4985, 5767, 6918, 7838, 1090, 1118, 2736, 3814, 4861, 5268, 6938, 7604, 610, 1286, 2902, 3741, 5129, 5933, 6716, 7250, 779, 1942, 3135, 3855, 5085, 5381, 7129, 8085, 914, 1847, 2944, 3811, 5115, 5210, 7218, 7865, 709, 1684, 3033, 3710, 4834, 5893, 6443, 8016, 776, 1881, 2944, 3983, 4713, 6103, 6376, 7476, 1041, 1534, 2788, 4061, 4688, 5918, 7003, 7814, 508, 1149, 2678, 3770, 4589, 5325, 7130, 8202, 91, 1780, 3149, 3552, 4735, 6167, 6289, 7397, 508, 1966, 2464, 3217, 4897, 5524, 6529, 7850, 1084, 1615, 2869, 4162, 4284, 5523, 6888, 7869, 981, 1689, 2867, 4081, 5194, 5756, 6772, 7756, 776, 2068, 2282, 3214, 4339, 6101, 7079, 7298, 1102, 2110, 2972, 3324, 4641, 5983, 7085, 7385, 663, 1937, 2965, 3443, 5062, 5694, 7241, 7364, 424, 1550, 2656, 3384, 4856, 5284, 6688, 7832, 955, 1486, 2656, 3931, 4856, 5504, 6262, 7918, 663, 1684, 2391, 3842, 4495, 5439, 6804, 7604, 1056, 1175, 2820, 3842, 4179, 5966, 6612, 8126, 1051, 1791, 2783, 3540, 4867, 5631, 6589, 8185, 1056, 1874, 2730, 3370, 4925, 6128, 6467, 8260, 951, 1791, 2871, 3743, 4533, 5485, 6467, 8172, 603, 2107, 2869, 4078, 4855, 5322, 6793, 8103, 1057, 1826, 3070, 3887, 4330, 5526, 6348, 7494, 693, 2118, 2254, 3394, 5157, 5549, 7130, 7288, 639, 2118, 2532, 3394, 4327, 6041, 6481, 8043, 759, 2118, 2273, 4173, 4364, 5898, 6254, 7899, 827, 2118, 2149, 4053, 4811, 5325, 6408, 7438, 1084, 1557, 3077, 3343, 4213, 5514, 6301, 7768, 776, 2111, 2487, 3214, 5026, 5761, 7217, 7716, 103, 1475, 2238, 3869, 4404, 5540, 6750, 7531, 804, 1834, 2944, 3277, 5061, 5216, 6891, 7716, 1099, 1876, 3007, 3751, 4981, 5901, 7127, 8036, 183, 1286, 3021, 4026, 4398, 5684, 6918, 8179, 183, 1876, 2278, 4006, 4580, 6137, 6752, 7811, 757, 2127, 2487, 3352, 5083, 5586, 6238, 7563, 757, 1147, 2918, 3798, 5083, 6146, 7098, 8061, 859, 1147, 2454, 4161, 4918, 6034, 6607, 8076, 956, 1620, 2729, 3827, 4985, 6182, 7120, 8147, 510, 1791, 2729, 3945, 4681, 5892, 7207, 8080, 408, 1935, 2167, 3307, 5061, 5844, 6540, 8076, 504, 1521, 2918, 3580, 5091, 6147, 6293, 7865, 504, 1637, 2931, 3681, 4384, 5898, 7095, 8108, 678, 1543, 2439, 3967, 4985, 5610, 7069, 7896, 940, 2078, 3037, 3239, 4845, 6163, 7152, 7753, 317, 2079, 2534, 3993, 4551, 5844, 6905, 7291, 228, 1524, 3029, 3949, 4333, 5536, 6759, 7481, 228, 1524, 2904, 3792, 5019, 5527, 7099, 7664, 228, 1750, 2473, 3376, 5138, 6149, 6613, 7948, 543, 1147, 3021, 4006, 4836, 5935, 6581, 8080, 915, 1851, 3021, 4071, 4398, 5514, 6589, 7677, 915, 1851, 2806, 3893, 4583, 6186, 7120, 7563, 915, 1851, 2729, 4071, 4583, 5612, 6607, 8147, 1097, 1851, 2803, 3990, 4398, 5635, 7239, 8236, 1099, 1467, 3065, 4114, 5038, 5694, 6979, 8237, 804, 2046, 2936, 4068, 4398, 5749, 6515, 8185, 708, 1510, 2359, 3226, 4720, 5769, 6443, 8189, 211, 1171, 2298, 4150, 5088, 6171, 6901, 7764, 547, 1758, 2736, 3900, 5054, 6068, 6893, 8070, 938, 1510, 2903, 3521, 4240, 5526, 7145, 7751, 776, 1510, 2547, 3390, 4925, 5934, 7052, 7896, 913, 1876, 2435, 3316, 4767, 5652, 6984, 7737, 970, 1171, 3104, 3413, 4945, 5589, 6642, 7488, 1011, 1663, 3104, 3671, 5169, 6145, 6440, 7954, 961, 1171, 2801, 3191, 4955, 5730, 7040, 7764, 1022, 1139, 2543, 3380, 5095, 6189, 7195, 7764, 610, 1561, 2544, 3217, 5169, 5433, 6979, 7570, 610, 1561, 2400, 3911, 5125, 6187, 6657, 7816, 1025, 1782, 3126, 3990, 4985, 6007, 6281, 7384, 643, 1286, 2292, 3886, 4374, 6120, 7120, 7887, 401, 1692, 2436, 3681, 5159, 6137, 6752, 7530, 288, 2009, 3021, 4097, 4586, 5978, 6979, 8132, 789, 1684, 2946, 3909, 4289, 5485, 6430, 7878, 256, 1597, 2669, 3595, 4923, 5705, 7069, 7563, 256, 1851, 2473, 3955, 4638, 5514, 6640, 7532, 256, 2106, 2473, 3931, 5135, 5908, 6566, 8267, 789, 1525, 2221, 4096, 4580, 5590, 7103, 8185, 789, 1876, 2833, 3363, 4412, 5550, 6889, 7715, 555, 2017, 2554, 3440, 4888, 6048, 6604, 7876, 956, 2097, 3065, 4145, 4888, 5705, 7226, 8227, 959, 1845, 2944, 3990, 5044, 5684, 7023, 7664, 373, 1675, 2750, 3487, 4728, 5694, 7090, 7846, 1057, 1303, 2429, 3492, 5007, 5870, 6573, 7447, 1057, 1835, 2705, 3593, 4314, 5535, 7219, 8161, 1084, 1424, 2436, 3584, 4991, 6125, 6622, 8259, 776, 2065, 2944, 3647, 5195, 5919, 6921, 8125, 776, 1132, 2432, 3895, 4320, 5789, 6287, 8174, 1102, 1984, 2143, 3941, 4218, 6095, 6835, 8212, 373, 1984, 2775, 4135, 4228, 5366, 6501, 8054, 401, 1510, 2291, 3681, 4691, 5216, 6775, 8149, 959, 1919, 2775, 3259, 4828, 5631, 7023, 7488, 955, 1984, 3033, 3371, 5080, 5844, 7090, 7658, 1056, 1869, 2326, 3593, 4912, 6070, 6979, 7876, 512, 1998, 3043, 3973, 5157, 5705, 6584, 7570, 512, 1791, 3043, 4114, 5061, 6051, 7207, 7908, 859, 1675, 2783, 3891, 5080, 5493, 7160, 7876, 183, 1575, 2542, 3376, 4995, 5827, 7090, 7303, 228, 1550, 2469, 4111, 4387, 5493, 6338, 8266, 228, 2127, 2181, 3595, 5138, 5844, 6515, 8266, 228, 2127, 2316, 3251, 5159, 5811, 6607, 7641, 240, 1585, 3064, 3798, 4934, 5368, 6515, 8118, 228, 1645, 2473, 3518, 4622, 5515, 6752, 8080, 240, 1313, 2339, 4113, 5138, 5811, 7232, 8237, 543, 1851, 2473, 3595, 5159, 5705, 6996, 7677, 419, 1756, 2473, 4174, 4996, 5719, 7024, 7677, 543, 1851, 2880, 3825, 5166, 5514, 6338, 8080, 228, 1623, 2221, 4125, 4622, 5438, 6612, 8126, 105, 1961, 2282, 4166, 5134, 5678, 6291, 8080, 818, 2111, 2210, 4006, 4704, 6149, 6701, 7732, 945, 1528, 2806, 3893, 4798, 6139, 6584, 8196, 860, 2017, 2164, 3825, 4704, 6139, 7077, 8223, 860, 2017, 2914, 3893, 4798, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 488, 1648, 2164, 3893, 4870, 5635, 7120, 7766, 488, 1468, 3021, 3893, 4387, 6081, 6579, 8223, 555, 1147, 2554, 3374, 4870, 5981, 6584, 7664, 555, 1684, 2858, 3391, 5159, 5413, 7152, 7723, 4, 2 ]

[ 1, 31, 16, 5, 64, 16, 62, 20, 63, 66, 64, 5, 66, 73, 5, 76, 45, 29, 5, 76, 48, 5, 76, 35, 5, 64, 66, 63, 14, 62, 66, 5, 16, 54, 30, 5, 76, 45, 29, 5, 64, 39, 75, 30, 5, 17, 64, 5, 41, 63, 17, 53, 5, 28, 48, 44, 55, 5, 51, 63, 17, 65, 66, 5, 28, 26, 5, 31, 16, 5, 15, 51, 64, 34, 52, 35, 39, 65, 16, 54, 5, 16, 54, 30, 5, 30, 44, 64, 34, 52, 35, 39, 65, 16, 54, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 818, 2017, 2991, 3886, 4798, 5241, 7239, 8185, 956, 1791, 3135, 4018, 4782, 6211, 7006, 7806, 959, 1791, 2989, 3891, 4529, 5950, 7100, 8093, 722, 1821, 2868, 3964, 4929, 6149, 6886, 7995, 805, 1596, 2587, 3236, 4905, 5769, 6901, 8108, 927, 1150, 2483, 3788, 4411, 5471, 6941, 8120, 654, 1734, 2542, 3225, 4191, 5944, 6224, 7477, 654, 2030, 2221, 3870, 4845, 6101, 6547, 7448, 240, 1684, 2315, 3710, 4763, 5527, 7069, 8179, 240, 1933, 2989, 4157, 4307, 6085, 6909, 7574, 518, 1719, 3006, 3879, 4573, 5978, 6892, 8270, 518, 1304, 2654, 3796, 4872, 5520, 7017, 7939, 568, 2061, 2752, 3292, 5157, 5764, 6291, 7498, 1091, 1826, 2795, 3518, 5079, 5589, 6988, 7753, 850, 1225, 2312, 3669, 4993, 5532, 6706, 8263, 961, 1685, 2389, 3795, 4444, 6148, 6787, 7260, 684, 1637, 2754, 3826, 5085, 6058, 6688, 8267, 1097, 1467, 3007, 3803, 5165, 5705, 6979, 7570, 914, 1620, 2254, 4171, 4379, 6146, 6786, 7806, 935, 1508, 2989, 4166, 4583, 6139, 7111, 7949, 914, 1608, 2925, 3226, 4287, 6182, 6988, 8223, 120, 2013, 2803, 3394, 4737, 5971, 6483, 8170, 617, 1933, 3007, 4028, 4912, 6086, 7007, 7947, 473, 1804, 2970, 4146, 4727, 5296, 6533, 7741, 104, 1598, 2985, 3700, 4727, 5405, 6366, 7508, 888, 1861, 3090, 4127, 4310, 6004, 6546, 7678, 917, 1970, 3090, 4134, 4714, 5722, 6673, 8033, 736, 1940, 3090, 3458, 4319, 5675, 6537, 8190, 1016, 1780, 2948, 3394, 4927, 6083, 6711, 7793, 770, 1685, 2408, 3668, 5085, 5994, 7156, 7492, 641, 1659, 2279, 4137, 4637, 5384, 6333, 8047, 641, 1937, 2297, 3382, 4575, 5730, 7221, 8146, 1047, 1509, 2440, 3183, 4456, 5616, 6936, 7518, 571, 1407, 3021, 4081, 4834, 5717, 6967, 7838, 186, 1791, 2998, 3226, 4713, 5210, 7047, 7594, 914, 2032, 3110, 4171, 4588, 5453, 7090, 8147, 118, 2105, 2300, 3391, 5043, 5767, 6224, 7591, 654, 2002, 2729, 3879, 4555, 5436, 7090, 8126, 225, 1851, 2562, 3857, 5157, 5625, 6884, 8061, 225, 1424, 2976, 3937, 4836, 5811, 6772, 7549, 225, 1750, 2188, 4171, 4775, 6137, 7007, 7693, 256, 1468, 2626, 3352, 4622, 5960, 7100, 7509, 789, 1789, 2278, 4006, 5120, 5811, 6474, 7677, 935, 1304, 2554, 4113, 5129, 5811, 6604, 8076, 317, 2111, 2984, 3879, 4606, 5436, 7232, 7641, 757, 1399, 2548, 3967, 4816, 5503, 6829, 7806, 685, 1268, 2559, 3355, 4756, 5415, 6566, 7587, 271, 1870, 2667, 3305, 5151, 5483, 7088, 8035, 223, 2049, 2661, 3906, 5008, 6118, 6644, 8243, 887, 1717, 2153, 3510, 4801, 5658, 6514, 7733, 211, 1783, 2754, 3884, 4289, 5677, 6653, 7776, 643, 1562, 2726, 3376, 5080, 5835, 6822, 7440, 731, 1280, 2134, 3376, 5181, 5220, 6633, 7631, 223, 1779, 2465, 3376, 5053, 5345, 7205, 7584, 685, 1870, 2907, 3376, 4873, 5510, 6928, 7796, 668, 1173, 3020, 3870, 4444, 5404, 7013, 7774, 1024, 1586, 2249, 3669, 4954, 6122, 6313, 7896, 356, 1494, 3075, 3358, 4641, 5923, 7010, 7706, 1099, 1847, 2783, 3975, 4551, 6085, 7006, 7908, 555, 1945, 2989, 3918, 4670, 6146, 7218, 7664, 757, 2024, 2709, 4168, 4374, 5534, 6579, 7563, 118, 1706, 2341, 3407, 4912, 5728, 6884, 7454, 757, 1971, 2181, 3827, 4929, 6048, 7103, 7555, 153, 1736, 2904, 3891, 4955, 6163, 6883, 7865, 171, 1512, 2340, 3891, 4606, 6110, 6492, 7253, 132, 1386, 3143, 3671, 4181, 5730, 6633, 7485, 401, 1173, 3143, 4105, 4980, 5832, 6518, 7753, 731, 1943, 2167, 4085, 4986, 5840, 7162, 7549, 223, 1217, 2842, 3501, 4780, 5802, 6782, 7500, 386, 2035, 2938, 3983, 4477, 5659, 6612, 7778, 540, 1317, 2567, 3731, 4664, 5905, 6536, 7584, 784, 2059, 2561, 3174, 4789, 5957, 6601, 7369, 938, 1586, 2161, 3305, 4816, 5935, 6813, 7784, 613, 1268, 2817, 3941, 5016, 5397, 6565, 7957, 216, 2091, 2791, 3873, 5026, 5971, 6346, 7602, 731, 1972, 2880, 4103, 4912, 6061, 6566, 8226, 571, 2035, 3123, 3556, 4782, 5679, 7132, 8034, 401, 1992, 3143, 4100, 4674, 5616, 6524, 8260, 304, 2068, 3128, 3277, 5085, 5385, 7157, 7264, 1011, 1318, 2485, 4085, 4983, 6195, 7010, 7967, 981, 2035, 2743, 3819, 4670, 6007, 6302, 8160, 1024, 1509, 2987, 3513, 5142, 5694, 7213, 7508, 913, 2008, 2429, 3503, 5056, 5538, 6259, 7591, 575, 1773, 2235, 3175, 4282, 5298, 7205, 7831, 183, 1523, 2454, 3746, 4226, 5761, 6241, 8103, 225, 2002, 2791, 3822, 5092, 5760, 6638, 8102, 654, 2002, 3000, 3866, 4423, 5650, 6338, 7557, 228, 2002, 2355, 3487, 4912, 6149, 6514, 7822, 228, 1586, 3150, 4113, 5157, 6051, 6344, 7865, 518, 1440, 2340, 3770, 4870, 5438, 6338, 7732, 228, 1974, 2340, 3879, 4870, 5515, 7160, 7664, 225, 1935, 3147, 3719, 5075, 5352, 6717, 7498, 225, 1496, 2992, 3879, 5060, 5218, 6265, 8092, 256, 2013, 2992, 3178, 4993, 5678, 6612, 8076, 859, 1147, 2992, 3930, 4590, 5890, 6270, 7303, 859, 1147, 2370, 4124, 5075, 5219, 6612, 8237, 617, 2106, 2833, 3746, 5120, 6149, 7152, 7557, 757, 1396, 2287, 4096, 5168, 6175, 6909, 7476, 153, 2024, 3095, 3550, 4191, 5514, 6986, 7652, 948, 1509, 2520, 3857, 4586, 5555, 7184, 7449, 271, 1386, 2432, 3583, 4321, 6181, 6648, 7994, 249, 1865, 2445, 4096, 4690, 5776, 6573, 7253, 827, 1296, 2741, 3509, 4316, 5288, 6801, 8144, 536, 1656, 3003, 3754, 4485, 6041, 7161, 8092, 536, 2060, 2784, 3720, 4623, 6120, 6860, 8038, 1062, 2006, 3072, 3874, 5041, 5602, 6256, 8081, 242, 1600, 2315, 3603, 4234, 6034, 6447, 7768, 862, 1334, 2355, 3180, 4415, 5918, 6842, 7547, 938, 1424, 2845, 3593, 4376, 5719, 6945, 8188, 970, 1738, 2344, 3603, 4986, 5568, 6493, 8103, 512, 1909, 3089, 3521, 4284, 6146, 7184, 7291, 488, 2041, 2959, 3226, 4912, 5901, 6972, 7895, 186, 1847, 2949, 3891, 4888, 5963, 6771, 8260, 488, 1998, 2781, 3516, 5159, 6139, 6515, 8076, 818, 2017, 2914, 3710, 4888, 6081, 6794, 7766, 818, 1648, 2914, 3825, 4888, 5635, 6996, 7766, 186, 2017, 2914, 3893, 4624, 6081, 7124, 7766, 186, 1648, 2164, 3825, 4624, 6186, 7077, 8196, 488, 1528, 2781, 3893, 4798, 5241, 7077, 8223, 568, 2098, 3147, 3470, 4622, 5650, 7221, 7745, 225, 1347, 2788, 3963, 4920, 5760, 7164, 8120, 617, 1434, 2542, 3795, 4304, 5298, 6986, 7752, 356, 1434, 2454, 3891, 5160, 5503, 6607, 7781, 552, 1684, 2987, 3914, 4549, 5650, 6486, 7717, 186, 2111, 2833, 3994, 4512, 5844, 6604, 8080, 488, 1684, 2806, 3803, 5088, 5241, 7226, 8147, 860, 1528, 2806, 3803, 4583, 5892, 6794, 8147, 860, 1528, 2806, 3825, 4704, 5892, 6794, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 915, 2017, 2164, 3367, 4798, 5635, 7077, 7723, 256, 1461, 3147, 3933, 4985, 5308, 7096, 7948, 739, 1397, 2318, 3505, 5090, 5526, 7073, 8015, 96, 1316, 2487, 3448, 4591, 5551, 6866, 7943, 184, 1695, 2917, 3403, 4292, 5341, 6737, 8240, 247, 1472, 3016, 3537, 4197, 5224, 6271, 7616, 976, 1268, 2201, 3422, 4421, 5818, 6449, 7669, 104, 1350, 2429, 3300, 4592, 5930, 7136, 7636, 391, 2055, 2291, 3410, 5015, 5286, 6734, 8017, 408, 1747, 2366, 4096, 4203, 6162, 7198, 8261, 850, 1858, 3145, 3949, 4773, 5761, 6277, 7329, 610, 1238, 2946, 4145, 4586, 5784, 6614, 8213, 1090, 1978, 2210, 4096, 4846, 6103, 6980, 7791, 936, 1660, 2189, 3480, 4225, 5570, 6564, 8138, 569, 1146, 2506, 3449, 5001, 5610, 6513, 7298, 1040, 1299, 2403, 3300, 5124, 5512, 6737, 7694, 862, 1586, 2436, 3643, 4340, 6059, 6574, 8095, 487, 1586, 2470, 3307, 4417, 5353, 6256, 8061, 804, 1768, 2805, 3955, 4458, 5810, 6579, 7311, 186, 2024, 2946, 3487, 4954, 5550, 7220, 7557, 105, 1992, 2740, 3440, 4762, 6211, 6723, 7557, 183, 1974, 2989, 3662, 4398, 5830, 6657, 8111, 334, 1286, 2181, 3427, 4775, 5343, 6694, 7727, 118, 1510, 2717, 3555, 4240, 5366, 7103, 7817, 617, 1286, 2454, 3930, 5091, 5844, 6919, 7804, 555, 2097, 3052, 4068, 4622, 5385, 6291, 7831, 818, 1622, 2946, 3827, 4890, 6051, 6972, 8164, 488, 2017, 2946, 3803, 4890, 5678, 6979, 8237, 488, 1622, 2914, 4145, 4624, 5892, 6996, 8196, 488, 1528, 2914, 3825, 4624, 6139, 7207, 8196, 488, 1623, 2806, 4071, 4704, 5892, 6996, 7485, 818, 1623, 2164, 3838, 4512, 6139, 7207, 8196, 555, 2111, 3065, 3825, 4611, 5963, 7098, 7715, 228, 2111, 2833, 4145, 4399, 5241, 6486, 7563, 654, 1826, 3133, 3566, 4344, 5981, 6632, 7715, 654, 1826, 2669, 3391, 5159, 5556, 7047, 8080, 654, 1750, 3139, 3761, 5079, 5643, 7024, 7913, 127, 1313, 2542, 3586, 4644, 5219, 6996, 7291, 654, 2097, 3099, 4096, 4399, 5515, 6584, 8173, 654, 2106, 2833, 3586, 4344, 5689, 6604, 7732, 518, 1961, 2775, 3564, 4344, 5241, 6889, 7313, 878, 2118, 2554, 3364, 4522, 6149, 7160, 8185, 959, 1400, 2424, 3777, 5122, 5413, 6756, 7702, 392, 2051, 2716, 3895, 4734, 5824, 6338, 7795, 567, 1695, 2796, 4057, 4946, 5734, 6905, 7422, 556, 1244, 2992, 3403, 4224, 5397, 7135, 8098, 668, 1685, 2992, 3769, 4368, 6128, 6334, 8251, 986, 1446, 2830, 3476, 4459, 5565, 6829, 7252, 545, 1858, 2607, 4015, 4764, 6162, 6419, 8266, 335, 1674, 2891, 3376, 4691, 5884, 6562, 7429, 731, 1550, 2282, 3327, 4696, 5946, 6648, 7978, 547, 1806, 3080, 3840, 4873, 5654, 7152, 7816, 970, 1373, 2339, 3710, 5088, 5515, 6835, 8107, 1081, 1407, 2729, 3909, 4215, 5944, 6302, 7677, 940, 1773, 2803, 4071, 5060, 5436, 7132, 7355, 512, 1275, 3095, 3516, 5104, 6085, 7218, 7720, 1056, 1778, 2912, 3987, 5098, 5216, 6752, 7939, 512, 1850, 2797, 4068, 5183, 5210, 7120, 8185, 308, 2000, 3006, 3945, 4925, 5635, 6302, 7557, 308, 1467, 2895, 3188, 4980, 5767, 6709, 8237, 491, 1938, 2495, 4038, 4816, 5246, 6567, 7383, 1029, 1302, 2741, 3298, 4536, 5536, 6309, 8034, 840, 1543, 2272, 3751, 4575, 5738, 7220, 7712, 123, 1496, 2842, 3200, 4350, 5304, 6550, 8193, 725, 1408, 2959, 3740, 4539, 5745, 6678, 7501, 1005, 1171, 2866, 3696, 4808, 5810, 7076, 8254, 373, 1171, 2326, 4006, 4790, 5810, 6237, 8030, 715, 1596, 2959, 3949, 4626, 5971, 6918, 7312, 225, 1814, 3004, 4092, 4995, 5573, 6610, 7919, 654, 1547, 2775, 3352, 5168, 5413, 7091, 7528, 228, 2002, 2542, 3873, 4287, 5678, 7006, 7913, 256, 2002, 2791, 3798, 4916, 6149, 6810, 8209, 256, 1586, 3150, 3407, 4512, 6051, 6607, 7919, 757, 1596, 2329, 3394, 5157, 6149, 6333, 8076, 878, 2106, 2564, 3827, 4387, 6110, 6668, 7485, 617, 1147, 2340, 3771, 4836, 5844, 7201, 7376, 484, 1752, 3021, 3914, 4630, 5436, 7019, 7770, 304, 1499, 2975, 3873, 4529, 6205, 7058, 7856, 249, 1318, 2865, 3380, 4815, 5300, 6502, 7591, 993, 2075, 2435, 3771, 4552, 5673, 6396, 7657, 650, 1881, 3025, 3873, 4725, 5889, 7143, 8048, 150, 1255, 2440, 3642, 4592, 5210, 6579, 8043, 887, 2033, 2809, 3410, 4324, 5849, 6633, 7657, 104, 1141, 2678, 3342, 4663, 6073, 6315, 7671, 1025, 1797, 2429, 3457, 4801, 6204, 6991, 7985, 424, 1499, 3061, 4096, 4849, 5350, 6589, 8266, 308, 1620, 2943, 3671, 4883, 5904, 6806, 7949, 1099, 1467, 2895, 3710, 4334, 6014, 6786, 7876, 807, 1753, 2818, 4066, 5134, 5662, 7014, 7263, 807, 1794, 2210, 3300, 4224, 5643, 6913, 7635, 986, 2033, 2874, 3394, 5122, 5292, 6903, 7684, 986, 1771, 2874, 3936, 4330, 5633, 7148, 7927, 986, 1458, 3091, 3936, 4774, 5477, 6835, 7409, 986, 2033, 3029, 3254, 4246, 5814, 6899, 8012, 807, 1635, 3040, 3472, 4364, 5600, 6684, 7894, 545, 1494, 3073, 3496, 5124, 6010, 6592, 7438, 582, 1489, 2129, 3329, 4795, 5333, 6903, 8129, 778, 2053, 2751, 3417, 4955, 5640, 6884, 7641, 104, 1655, 2232, 4007, 4790, 5656, 6302, 7510, 1025, 1399, 2923, 3968, 4604, 6007, 7019, 8190, 610, 2048, 2440, 4082, 4859, 5954, 6619, 7515, 887, 1978, 2429, 4152, 4212, 5590, 6393, 7791, 663, 2003, 2429, 3931, 4334, 6000, 7017, 7799, 1056, 1747, 2391, 3909, 4912, 5765, 6734, 7557, 1099, 1856, 2803, 3932, 4822, 6205, 6852, 8237, 1097, 1648, 3110, 3645, 5165, 5630, 6996, 8147, 935, 1992, 2957, 3990, 4583, 6085, 6709, 7485, 320, 1877, 2389, 3603, 5061, 5893, 6604, 7703, 746, 2088, 2964, 4078, 4276, 5909, 6547, 7713, 579, 2127, 2971, 3862, 4983, 5689, 6351, 8236, 707, 2106, 3048, 3388, 5179, 5216, 7060, 7927, 153, 1571, 3062, 3188, 4918, 5550, 7242, 8262, 171, 1512, 2970, 3909, 5125, 5963, 6903, 8260, 401, 1218, 3043, 3857, 4762, 5802, 7132, 7254, 249, 1512, 2772, 3937, 5010, 6121, 6309, 7917, 1067, 1504, 2816, 3771, 4556, 5260, 6667, 7822, 547, 1510, 2209, 3897, 5049, 5928, 6859, 8103, 1067, 1510, 2363, 3843, 4275, 6042, 7208, 8162, 759, 1510, 2900, 3152, 5186, 6063, 6258, 7689, 1062, 1777, 2792, 3711, 4792, 5648, 6740, 7702, 955, 2106, 2803, 3370, 4764, 5641, 6694, 7290, 118, 2106, 2798, 3824, 4762, 5788, 6598, 7867, 118, 1597, 2548, 4138, 5083, 6065, 6607, 7384, 183, 1597, 2469, 3305, 4705, 5493, 6734, 8262, 183, 2127, 3064, 4153, 4412, 5811, 6889, 8083, 105, 2127, 2468, 3851, 4583, 5609, 6515, 7776, 105, 1147, 2880, 3555, 4398, 5865, 6809, 7949, 488, 2017, 2806, 3374, 4890, 5963, 7226, 8147, 105, 1817, 2729, 3374, 4423, 5730, 6688, 7706, 757, 1758, 2608, 4168, 4888, 5844, 6954, 8245, 552, 1758, 2975, 4011, 5183, 6182, 6708, 7976, 512, 1499, 2803, 3430, 5060, 5635, 7149, 7664, 390, 1998, 3043, 4026, 4782, 6001, 6709, 7908, 390, 2001, 2886, 3937, 5145, 6063, 6579, 8066, 610, 1370, 2818, 3776, 4729, 5960, 7207, 7631, 1067, 1592, 3072, 3696, 4852, 5270, 6516, 7536, 360, 1338, 2165, 4138, 4214, 6220, 6572, 8165, 725, 2101, 2260, 3605, 4812, 6060, 7110, 7533, 465, 2059, 2997, 3501, 4562, 5938, 6788, 7840, 465, 1656, 2316, 3358, 4462, 5441, 7029, 7686, 465, 1656, 2250, 4041, 4664, 5560, 6361, 7559, 465, 1794, 2346, 3206, 4637, 5764, 6626, 7856, 887, 2109, 3106, 3342, 5138, 5443, 6594, 8162, 1090, 1796, 2940, 4103, 4179, 5811, 6890, 7501, 390, 1881, 2792, 4103, 5060, 5832, 7095, 7887, 955, 1620, 2984, 3391, 4797, 6160, 6348, 7440, 1035, 1561, 2791, 3773, 4622, 6022, 7119, 7981, 986, 1397, 2352, 3268, 4496, 5346, 6325, 7623, 807, 1455, 2708, 3391, 4546, 5810, 6642, 8073, 807, 1545, 2817, 3714, 5100, 5706, 6682, 7318, 491, 1350, 2401, 3764, 4845, 6166, 6348, 8251, 1040, 1550, 2751, 3984, 4350, 5584, 6377, 8066, 902, 1808, 2483, 3764, 4804, 5485, 6372, 7529, 1005, 1942, 2461, 4035, 4795, 5521, 6768, 8078, 487, 1540, 2230, 3487, 4604, 5265, 6625, 7533, 103, 1524, 2797, 3714, 4993, 5613, 6944, 7965, 390, 1278, 2230, 3904, 4212, 5584, 6963, 7954, 308, 1847, 2878, 3885, 4513, 5767, 6743, 7716, 510, 2068, 2326, 3990, 5159, 5890, 7152, 7887, 818, 2000, 2925, 3710, 4822, 5210, 7120, 7631, 1099, 1992, 2957, 3827, 5080, 5981, 6786, 8147, 859, 1961, 3095, 4011, 4622, 5216, 7129, 7485, 541, 1264, 2792, 3710, 4201, 6110, 6717, 7584, 334, 2052, 3141, 3623, 4638, 6217, 6298, 8190, 699, 1286, 2341, 3366, 4522, 5678, 7207, 7298, 195, 1313, 2669, 4145, 5079, 5936, 6519, 7521, 518, 1252, 2487, 3348, 4512, 5998, 6701, 7473, 256, 2111, 2490, 3928, 5193, 6157, 7120, 7494, 859, 1623, 2718, 3564, 5088, 5368, 6979, 8080, 955, 1827, 2792, 3704, 4872, 5378, 6338, 7546, 556, 1510, 3140, 3180, 4852, 6088, 6485, 8203, 381, 1730, 3080, 3753, 5074, 5693, 6234, 7792, 556, 1199, 2796, 3446, 4951, 5365, 7138, 8203, 1067, 1463, 2353, 3263, 5081, 5783, 6344, 7808, 547, 1199, 3054, 3293, 4644, 6080, 7221, 8091, 1047, 2066, 2659, 3668, 4643, 6080, 6579, 7367, 1011, 1440, 2592, 4128, 4583, 5825, 7227, 8266, 216, 2091, 2693, 3414, 4376, 5684, 6414, 7906, 1067, 2013, 2389, 4073, 4901, 5654, 6677, 8173, 692, 1981, 2599, 3189, 4791, 5280, 6669, 7480, 692, 1685, 2555, 3649, 4514, 5740, 6735, 7414, 266, 1512, 2785, 3252, 4440, 5785, 6502, 8036, 150, 1512, 2460, 3539, 5042, 5710, 6453, 8184, 784, 1512, 2766, 3533, 4267, 5606, 7080, 7680, 150, 1759, 2608, 3438, 4801, 5316, 6498, 7974, 1029, 1302, 2511, 3957, 4611, 5752, 6599, 8069, 363, 1736, 3033, 4007, 5049, 5740, 6959, 8013, 491, 1771, 3026, 4153, 4288, 5273, 6254, 7713, 487, 1882, 2701, 3591, 4321, 5589, 7101, 8017, 487, 2055, 2751, 3613, 5192, 6084, 6493, 8215, 487, 1593, 2751, 3964, 4845, 5485, 6684, 7531, 778, 1806, 2751, 3513, 4218, 5431, 6884, 8188, 356, 2053, 2847, 3975, 4384, 6007, 6480, 7584, 757, 1773, 2771, 3922, 4321, 5530, 6786, 7965, 568, 1510, 2302, 3996, 4983, 5216, 7162, 7547, 334, 1286, 2905, 3470, 4344, 5942, 6607, 7906, 568, 1510, 2454, 3623, 4224, 5650, 6844, 7773, 568, 2106, 2454, 3798, 4578, 6048, 6941, 8083, 568, 1510, 2904, 3792, 4764, 5788, 6717, 7907, 757, 1510, 2341, 3967, 4224, 5896, 7091, 7263, 617, 1876, 2904, 3967, 5160, 5765, 7010, 8185, 153, 1777, 2833, 3980, 4592, 5963, 7017, 7954, 401, 1797, 2957, 3891, 4912, 5767, 6979, 8078, 166, 1522, 2365, 3248, 4297, 5474, 6761, 7469, 993, 1278, 3126, 3977, 4297, 5474, 6583, 7384, 1025, 1296, 2661, 3977, 5183, 5918, 6325, 7263, 104, 1141, 2492, 3167, 4379, 5784, 6901, 8092, 104, 1411, 2737, 3167, 4335, 5663, 7019, 8086, 536, 1227, 3020, 4096, 5090, 6215, 6526, 7480, 299, 1141, 2552, 3540, 4467, 6002, 6439, 8126, 150, 2053, 2440, 4027, 5169, 6215, 6649, 7542, 826, 1141, 2648, 3973, 4321, 5784, 7212, 7920, 610, 2055, 2661, 3787, 4191, 5908, 6574, 8117, 91, 1489, 2989, 3464, 4530, 5483, 6284, 7978, 308, 1424, 2925, 3575, 4276, 5586, 6786, 8209, 935, 1998, 3006, 4011, 4366, 6063, 7152, 7811, 818, 1791, 2991, 4071, 4822, 5661, 7201, 8066, 818, 1791, 2991, 4114, 5165, 6211, 6972, 7876, 859, 1750, 2991, 3566, 4888, 6103, 6604, 7557, 859, 1695, 3144, 4006, 4867, 5672, 7100, 8066, 356, 2106, 2542, 3914, 5061, 6129, 6338, 8080, 617, 1695, 2946, 4171, 4681, 6129, 6809, 8185, 617, 1695, 3008, 3873, 4583, 5514, 6772, 8179, 617, 1468, 3143, 3827, 5159, 5385, 7168, 8179, 859, 1468, 2833, 3376, 4622, 5241, 6677, 7887, 859, 2106, 2554, 4068, 4423, 5892, 6612, 7706, 105, 1345, 2729, 3770, 5159, 6110, 7152, 7303, 555, 1147, 2858, 4166, 5166, 6163, 6996, 7715, 818, 1147, 2164, 3893, 4624, 5811, 7124, 8223, 860, 1528, 2806, 3803, 4704, 5892, 6996, 7723, 142, 2017, 2806, 3825, 4704, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 915, 2017, 2914, 3914, 4798, 5241, 7124, 7766, 475, 1684, 2941, 4145, 4681, 5705, 7090, 7715, 722, 1320, 2346, 3175, 4841, 5488, 6779, 8132, 310, 1397, 3148, 3309, 5040, 5443, 6790, 7803, 739, 1818, 3029, 3326, 5045, 6044, 6309, 7997, 492, 1960, 2610, 3566, 4642, 5665, 7229, 7648, 104, 1695, 2598, 3426, 4737, 5604, 6537, 8131, 1090, 1781, 2492, 3384, 4588, 5835, 6484, 8066, 1033, 1428, 3075, 3398, 4861, 5413, 6716, 7976, 1033, 1721, 2766, 4017, 5088, 5573, 6771, 8260, 150, 1227, 2429, 3645, 4215, 5437, 6980, 8093, 1025, 1499, 2783, 4150, 4536, 5216, 7207, 8066, 1025, 1797, 3064, 4150, 4912, 6051, 6980, 7481, 390, 1791, 3008, 3201, 4890, 5661, 6979, 8179, 512, 2046, 3043, 3920, 5129, 5883, 6980, 7485, 308, 1675, 3006, 3945, 5104, 5630, 6809, 7949, 308, 1523, 3008, 4068, 5166, 6175, 6852, 7723, 955, 1750, 3008, 3201, 4822, 5216, 7077, 8185, 868, 1133, 2378, 3562, 5115, 6050, 7141, 7845, 545, 1231, 2872, 4103, 5096, 5861, 7068, 7969, 1098, 1133, 2987, 3498, 4836, 6073, 6383, 7707, 582, 1305, 2365, 3298, 4575, 5223, 7103, 8173, 986, 2090, 2515, 3478, 4236, 5526, 7220, 7810, 216, 1248, 2175, 4010, 5026, 5560, 6988, 7313, 731, 1633, 2579, 4064, 4782, 5318, 7149, 8080, 216, 1905, 2167, 3879, 4338, 6123, 6921, 8164, 613, 1777, 2383, 4096, 5083, 5366, 6273, 7367, 568, 1905, 2975, 3776, 4793, 5811, 6256, 7887, 195, 1652, 2242, 4083, 4412, 6033, 7075, 8236, 654, 2034, 2660, 3832, 4215, 5413, 6607, 7442, 654, 1147, 2316, 3798, 4387, 5942, 7181, 8099, 654, 1736, 2302, 3364, 5134, 5844, 6604, 7508, 228, 1853, 2718, 4113, 4459, 5641, 6671, 8241, 256, 1304, 3133, 3566, 5166, 6063, 6909, 7799, 617, 1684, 3064, 3595, 5135, 5413, 6895, 7476, 948, 1644, 2271, 3917, 4966, 5868, 6410, 7386, 723, 1286, 2658, 3616, 4756, 5965, 6969, 8078, 737, 1507, 2146, 3446, 4346, 5455, 7245, 8031, 895, 1490, 2141, 3585, 4911, 6005, 6893, 8233, 465, 1301, 2678, 3239, 4683, 6043, 6811, 7964, 150, 1740, 2494, 3271, 4727, 6043, 6615, 7656, 887, 1581, 2173, 3154, 4492, 5828, 6732, 7922, 104, 1660, 2173, 3999, 4369, 5600, 6732, 7875, 938, 1489, 2693, 3513, 5003, 5272, 6719, 7547, 1003, 1778, 2536, 3427, 4855, 5512, 6955, 7476, 113, 1682, 2515, 3164, 4437, 5633, 6419, 7439, 993, 1157, 2389, 3517, 4364, 5500, 6362, 7999, 1057, 1239, 2737, 4126, 4938, 5765, 7137, 7850, 895, 1244, 2790, 3963, 4440, 5954, 6251, 7970, 641, 2091, 2511, 3979, 4910, 5325, 7163, 7752, 778, 1972, 2403, 3938, 5178, 6071, 6631, 7545, 938, 1966, 2878, 3870, 5127, 5403, 6858, 7878, 1024, 1736, 2855, 3566, 4258, 5713, 6335, 8248, 547, 1494, 2815, 4060, 5000, 5242, 7118, 7465, 569, 1459, 2629, 4007, 4724, 6056, 6969, 7298, 1038, 1918, 2480, 4007, 4208, 5693, 7183, 7652, 487, 1323, 2687, 3605, 4876, 5341, 6281, 8153, 545, 1164, 2366, 3261, 4831, 6066, 6344, 7727, 103, 1906, 2751, 3913, 4274, 5580, 6991, 7849, 1090, 1372, 2250, 3210, 4384, 5710, 7148, 8240, 103, 2024, 2924, 3764, 4214, 5918, 6924, 8164, 356, 1116, 3064, 3866, 4364, 5771, 7100, 8132, 757, 1768, 2839, 4038, 4344, 5298, 7096, 7778, 118, 1112, 2242, 3666, 5138, 5684, 6993, 8083, 568, 2013, 2946, 3827, 4638, 6178, 6474, 7549, 118, 2106, 3021, 4096, 5143, 5610, 6573, 8093, 757, 1954, 2566, 4141, 4486, 5514, 6584, 8061, 617, 1876, 2775, 4006, 4877, 6000, 7024, 7961, 859, 1684, 2858, 3891, 4583, 5981, 7132, 8126, 859, 1789, 2991, 3771, 4780, 5219, 6668, 7716, 833, 1637, 2593, 3955, 4205, 5832, 6607, 8118, 1033, 2001, 2792, 3922, 4297, 5758, 7043, 7791, 840, 1545, 2503, 3222, 4181, 6028, 6348, 7398, 536, 1758, 2520, 3504, 5018, 5408, 7083, 8242, 104, 1146, 2946, 4096, 4385, 5300, 6918, 7508, 1025, 2117, 3020, 3756, 4408, 5651, 6900, 7664, 1025, 1809, 2891, 3271, 4604, 5366, 6736, 8086, 993, 1141, 2444, 3375, 4925, 6220, 7051, 7660, 1029, 1141, 2553, 3756, 4385, 6026, 6574, 7806, 643, 1721, 2440, 3496, 4189, 5825, 6929, 8085, 150, 1271, 2429, 3513, 4690, 6163, 6852, 7962, 1025, 1797, 2695, 3909, 4536, 5378, 7010, 8179, 304, 1777, 2444, 3516, 4282, 5641, 7239, 7658, 804, 2079, 3144, 3886, 5058, 6205, 7218, 7485, 488, 1945, 3128, 4114, 4704, 6211, 7111, 7876, 142, 1620, 3008, 3825, 4888, 6211, 6709, 8147, 488, 1622, 2914, 3516, 4822, 6139, 6786, 7766, 818, 1622, 2164, 3893, 5080, 6139, 6794, 7723, 488, 1528, 2164, 3893, 4624, 5705, 7077, 8223, 818, 1648, 2806, 3886, 4798, 5241, 7124, 8223, 915, 1684, 2164, 3825, 4630, 5705, 7090, 8196, 915, 1528, 2858, 3914, 4870, 6081, 6794, 7485, 915, 1622, 2858, 3914, 4870, 6139, 6794, 8223, 915, 2017, 3021, 3374, 4890, 5678, 6589, 8261, 915, 2111, 2858, 3914, 4798, 5963, 7098, 8223, 915, 1684, 2164, 3391, 4798, 6139, 7090, 8223, 915, 1468, 2833, 3891, 5166, 6182, 6996, 8196, 915, 1622, 2858, 3891, 4681, 6139, 7207, 8076, 915, 1684, 2858, 3891, 4704, 5635, 7120, 8076, 915, 1468, 2833, 3914, 4583, 5892, 6677, 8076, 915, 2111, 2806, 3914, 4624, 5811, 7120, 8223, 4, 2 ]

[ 1, 36, 52, 5, 76, 11, 78, 5, 66, 73, 5, 66, 39, 51, 5, 43, 45, 78, 5, 62, 52, 39, 64, 5, 44, 54, 5, 62, 11, 63, 52, 16, 53, 16, 54, 66, 5, 16, 42, 33, 54, 3, 945, 1528, 2806, 3803, 4704, 6211, 6988, 8147, 915, 1851, 2806, 3933, 4555, 5493, 7207, 8236, 876, 1171, 2260, 4025, 4716, 5210, 6958, 8266, 1017, 2008, 2979, 3732, 4855, 6140, 7041, 7403, 363, 1673, 2564, 3219, 4788, 5878, 6963, 7764, 546, 1762, 2564, 3605, 5036, 5372, 7240, 8023, 1034, 1363, 2543, 3451, 4214, 5372, 6932, 7497, 584, 1521, 2564, 4073, 5000, 5618, 6542, 7904, 766, 1730, 2564, 4037, 4381, 5335, 7155, 7786, 864, 1679, 3018, 3466, 4744, 5894, 6324, 7904, 994, 1509, 3018, 3360, 4874, 5429, 6542, 8122, 805, 1222, 2156, 3506, 4941, 5803, 6466, 7693, 964, 1137, 2951, 3495, 4599, 5429, 7128, 7833, 846, 1604, 2951, 3276, 4776, 5733, 6977, 7813, 1019, 1967, 2951, 3821, 4825, 5780, 6455, 8038, 1019, 2070, 2951, 3499, 5128, 5646, 7028, 7271, 1019, 2070, 2626, 3993, 5027, 5843, 7126, 7639, 1019, 1503, 2719, 3385, 4738, 6207, 6686, 7284, 1019, 1503, 2719, 3748, 5027, 5764, 6352, 8140, 83, 1503, 2395, 3554, 4499, 6142, 6684, 7588, 1016, 1912, 2832, 3239, 5031, 6138, 6731, 7889, 1016, 1339, 2693, 3967, 4465, 5671, 6666, 7693, 1016, 1326, 2137, 3293, 4906, 5548, 6396, 7889, 1016, 1828, 2222, 3293, 4908, 5787, 6588, 8064, 1016, 1450, 2137, 3623, 4445, 6175, 6962, 7831, 1022, 1711, 3015, 4098, 4512, 5719, 6372, 7563, 1022, 1318, 2895, 3420, 4570, 5360, 6612, 8019, 1022, 2110, 3060, 4168, 5157, 5514, 6979, 7773, 1008, 1633, 2381, 3770, 5085, 5469, 7157, 7794, 992, 1199, 3080, 3770, 4807, 5410, 6714, 8046, 1038, 1140, 3092, 3992, 4688, 5801, 7035, 7567, 856, 2059, 2486, 3528, 5023, 5873, 6466, 7996, 942, 1776, 3026, 3623, 4479, 5678, 6753, 8101, 699, 1547, 2610, 3564, 4555, 6052, 7164, 7865, 654, 1330, 2616, 3470, 5139, 5223, 6646, 7548, 228, 2030, 3007, 3790, 4982, 5865, 7132, 8070, 317, 2056, 2721, 3723, 4240, 5730, 7114, 8186, 256, 1600, 3000, 3933, 4925, 5550, 6579, 7485, 256, 1620, 2473, 3420, 4185, 5438, 6604, 8179, 1020, 1525, 2940, 3918, 4877, 6046, 6889, 8099, 568, 1826, 2987, 3213, 5157, 6149, 7162, 8085, 408, 1789, 2144, 3788, 4346, 6069, 6840, 7961, 262, 1832, 3026, 3866, 4191, 5746, 6551, 7922, 1080, 1305, 2775, 3824, 4596, 5223, 6932, 8182, 804, 1752, 2564, 4037, 4717, 6212, 6646, 7957, 1099, 1330, 3022, 3962, 5125, 5832, 6734, 8261, 804, 1847, 3095, 3982, 5139, 5968, 7090, 7641, 510, 1175, 2925, 3391, 4980, 5219, 7239, 8083, 356, 1320, 2880, 4085, 5104, 5963, 6996, 7641, 276, 1974, 3147, 4089, 5143, 5325, 6229, 7875, 699, 2092, 2487, 3886, 4533, 5556, 6840, 7303, 513, 1918, 3131, 3864, 4323, 6159, 7047, 7913, 640, 1541, 2709, 3331, 4501, 5352, 6448, 7312, 739, 2099, 2869, 3792, 4705, 5603, 6354, 8120, 286, 1778, 2581, 4060, 4482, 5224, 6998, 7976, 632, 1815, 2869, 3638, 4426, 5354, 6720, 7873, 221, 1778, 2531, 3270, 4641, 5538, 6958, 7613, 448, 1167, 2802, 3316, 4795, 6135, 6265, 7367, 684, 1782, 3038, 3550, 4225, 6101, 6736, 7574, 804, 1851, 2957, 4115, 4622, 5968, 6966, 7508, 899, 2068, 3000, 4003, 5058, 5297, 6291, 7895, 541, 2025, 2953, 3605, 4912, 6110, 6291, 8078, 899, 2068, 2970, 4011, 5168, 6085, 6604, 7570, 274, 1791, 3099, 3994, 4399, 6026, 6938, 7712, 767, 1277, 3147, 3969, 5085, 5884, 6468, 7964, 491, 1356, 2481, 3551, 4224, 5443, 6484, 8151, 234, 1400, 2543, 3172, 5154, 6121, 6466, 7466, 1101, 1768, 2401, 4128, 4757, 5325, 6762, 7929, 807, 1794, 2225, 3570, 4333, 5708, 6383, 7727, 825, 1652, 2495, 4092, 4836, 6058, 6520, 7624, 654, 1821, 2175, 3291, 4793, 5752, 6403, 7538, 228, 1851, 2791, 3572, 4592, 5578, 6573, 8252, 228, 1758, 3000, 3374, 4780, 5923, 7049, 7749, 818, 2001, 2560, 4085, 4186, 5678, 7168, 7383, 914, 1992, 3021, 3595, 5061, 5761, 7069, 8126, 915, 2068, 3021, 3516, 4287, 6085, 6612, 7717, 956, 1847, 3133, 4114, 4704, 6129, 6671, 7782, 915, 1804, 3021, 3945, 4704, 6103, 6786, 7806, 915, 1528, 2914, 3188, 4704, 5635, 7120, 7949, 555, 1804, 3095, 3893, 5083, 5832, 7120, 7806, 1020, 1510, 2614, 3749, 4543, 5462, 7237, 7466, 617, 1623, 2858, 4113, 4877, 5694, 6291, 7477, 948, 1407, 2858, 3826, 4666, 5393, 6828, 8132, 784, 1199, 2726, 3279, 5022, 5867, 6728, 7602, 234, 2009, 2986, 3486, 4335, 5780, 7076, 7776, 261, 2033, 2986, 3745, 4962, 5789, 6984, 8096, 1100, 1472, 2724, 3909, 4629, 5250, 6522, 7956, 363, 1570, 2241, 3394, 5030, 5457, 6986, 8039, 487, 2055, 2656, 3642, 4687, 6040, 7072, 8215, 936, 1164, 2208, 3551, 4539, 5746, 6918, 8128, 887, 1834, 2610, 3515, 4364, 6159, 6868, 7426, 1081, 1782, 2946, 3770, 4384, 5474, 6603, 7973, 610, 1905, 3075, 3358, 5052, 5825, 6476, 7898, 610, 1858, 3126, 4068, 5104, 5573, 6772, 7487, 756, 1881, 2771, 3475, 5168, 5796, 7220, 7794, 228, 1905, 2874, 3879, 4530, 5536, 6614, 7605, 225, 1112, 3026, 3297, 5080, 5672, 6914, 7397, 654, 1564, 2454, 3753, 5079, 6058, 6607, 8179, 654, 1286, 3040, 4026, 4983, 5935, 7056, 7303, 654, 1756, 2554, 3827, 4622, 5873, 6238, 8079, 228, 1851, 2181, 3376, 4890, 5493, 7239, 7971, 256, 1961, 2596, 3595, 4522, 5625, 6286, 7906, 1056, 1684, 2970, 3516, 5168, 5993, 6607, 8070, 271, 1275, 2332, 3165, 4667, 6073, 6755, 8190, 1004, 1564, 2725, 3454, 4935, 6107, 6777, 7442, 737, 1808, 2128, 3193, 4825, 5719, 7097, 7568, 536, 1471, 2232, 3592, 5095, 5903, 6574, 7740, 1090, 1850, 3080, 3201, 4592, 6024, 6467, 7409, 643, 1879, 2292, 3498, 4586, 5953, 6900, 8100, 104, 1286, 2519, 3259, 4691, 6181, 6829, 7313, 104, 1227, 3080, 3886, 5153, 5573, 6716, 7386, 1090, 1269, 2520, 4067, 4690, 5550, 6899, 7421, 308, 1660, 2803, 4078, 5169, 5548, 7111, 7570, 956, 1620, 2746, 3983, 4630, 5340, 7058, 7631, 1099, 1467, 2880, 3886, 5038, 6103, 7218, 7485, 1099, 1534, 2838, 4071, 4366, 5630, 7132, 8195, 308, 2001, 3064, 3914, 4551, 6205, 7006, 7876, 308, 1791, 2880, 3226, 4551, 5661, 6709, 8260, 468, 1168, 2444, 3475, 4507, 5575, 6265, 8102, 967, 1490, 3062, 3838, 4435, 5625, 6884, 7363, 401, 1370, 3056, 4168, 4573, 5630, 6953, 8266, 1067, 1805, 3072, 3741, 4751, 5894, 6952, 8222, 1070, 2009, 2574, 3496, 5105, 5391, 6669, 7701, 472, 1554, 2574, 3868, 4897, 5828, 6626, 8045, 428, 1707, 3052, 3760, 5031, 5435, 6269, 8165, 774, 1183, 2661, 3548, 4642, 5409, 6697, 7622, 472, 1393, 3052, 4103, 4628, 5646, 6560, 7758, 1066, 1593, 2662, 3278, 4364, 5577, 7222, 7933, 1030, 1593, 2435, 3989, 4678, 6209, 6866, 7622, 881, 2050, 2680, 3380, 4364, 5449, 6657, 8189, 881, 2050, 2693, 3447, 4310, 6118, 7015, 8072, 150, 1469, 2348, 3276, 4644, 5460, 6236, 8174, 150, 2050, 2562, 4087, 4725, 6023, 6466, 7849, 887, 2050, 2652, 4015, 4953, 5866, 6626, 7466, 271, 2050, 2728, 4137, 5081, 5209, 7147, 7626, 271, 1345, 2247, 4015, 4707, 5713, 7240, 7985, 391, 2102, 2789, 3605, 4617, 5835, 6359, 7924, 150, 2053, 2629, 3410, 4199, 6001, 6426, 7825, 887, 2053, 2741, 3762, 5088, 5711, 7168, 8240, 104, 2053, 2741, 3838, 4467, 5944, 6731, 8164, 536, 1402, 2737, 4083, 4991, 5745, 7002, 7852, 313, 2083, 2564, 3259, 4843, 5974, 6782, 7305, 880, 1496, 3074, 3880, 4966, 5645, 6560, 7250, 952, 1821, 2282, 3601, 4340, 5513, 6476, 7652, 610, 1782, 3101, 3970, 4971, 5474, 6682, 7878, 887, 1771, 2542, 3500, 5193, 5474, 6284, 7919, 1090, 1700, 2783, 3918, 4191, 6014, 6677, 8126, 804, 2000, 2754, 3949, 5106, 5500, 6715, 7563, 568, 2001, 2606, 4120, 4819, 6118, 7158, 7538, 448, 1171, 3076, 3880, 5106, 5521, 6919, 8254, 1019, 1349, 2555, 3536, 4762, 5480, 6730, 7657, 672, 1347, 2585, 3351, 4906, 5800, 6896, 8045, 582, 1732, 2261, 3421, 4225, 5565, 7224, 7524, 424, 1550, 2370, 3238, 5110, 5730, 6262, 7774, 1056, 1850, 2729, 3410, 4890, 5436, 6810, 7311, 211, 2063, 2591, 4068, 5097, 5981, 7111, 8076, 1056, 1467, 2783, 3827, 5085, 5844, 6774, 8179, 663, 1804, 3098, 3516, 4980, 6051, 6302, 7641, 1056, 2046, 2946, 3540, 5061, 6211, 6786, 8107, 399, 1550, 2802, 3770, 4777, 5314, 7229, 7586, 462, 1164, 2426, 3986, 5148, 5594, 6409, 8139, 994, 1732, 2346, 3580, 4991, 6221, 6354, 7395, 139, 1536, 2273, 3764, 4545, 5614, 6325, 7896, 639, 1817, 2487, 3764, 4343, 5723, 6403, 7973, 139, 2107, 2364, 3413, 5110, 5810, 6531, 8132, 913, 1919, 2210, 3967, 4455, 6076, 6966, 8015, 774, 1280, 3116, 3967, 4449, 5265, 7229, 8061, 725, 1664, 2307, 3741, 5188, 5631, 6402, 7906, 1041, 1424, 2506, 4130, 4809, 5839, 6370, 7689, 844, 2068, 2810, 3967, 4181, 5668, 6504, 8038, 403, 1309, 2533, 3416, 4437, 6117, 6978, 8195, 779, 1602, 2163, 4096, 4323, 6195, 6669, 7658, 779, 2000, 2436, 3931, 4334, 5558, 7019, 7807, 1081, 1797, 2994, 3945, 4792, 5752, 7207, 8103, 940, 2024, 2944, 3789, 4588, 5276, 6715, 8172, 1081, 1858, 2530, 3922, 4521, 5901, 7168, 8209, 779, 1402, 2429, 3931, 5169, 6120, 6967, 8016, 940, 1807, 2730, 3838, 4337, 5749, 6402, 7717, 951, 1931, 2542, 3707, 4900, 5565, 6979, 8126, 951, 1924, 2436, 3917, 4896, 5749, 7220, 7992, 981, 2059, 2636, 4026, 4985, 5449, 7004, 8077, 91, 1566, 2151, 3880, 4388, 6204, 7018, 7259, 403, 1724, 2981, 3178, 4776, 5526, 6532, 7478, 308, 2111, 2959, 4147, 5083, 5880, 6823, 7823, 956, 1933, 2949, 3891, 4512, 6051, 6588, 7831, 186, 2111, 3110, 3803, 4822, 6205, 6588, 7723, 488, 2017, 2781, 3803, 4980, 5901, 7226, 7949, 488, 1622, 2806, 4018, 4888, 6139, 6786, 7949, 818, 1648, 2914, 3893, 4681, 5241, 6515, 7485, 859, 2002, 2856, 4145, 4622, 5987, 6604, 7865, 617, 1586, 2137, 3891, 4549, 6163, 6864, 8236, 617, 2127, 2490, 3771, 4700, 5219, 7152, 8061, 617, 2002, 2970, 3716, 4580, 5811, 6809, 7865, 617, 1596, 2833, 3879, 4181, 5660, 7100, 8237, 4, 2 ]

[ 1, 45, 41, 5, 31, 33, 63, 78, 5, 33, 54, 47, 5, 54, 73, 78, 5, 17, 75, 5, 16, 5, 28, 14, 66, 16, 52, 5, 5, 5, 76, 48, 63, 5, 54, 11, 66, 5, 44, 54, 5, 16, 5, 28, 14, 30, 5, 62, 52, 39, 64, 5, 66, 73, 5, 43, 48, 63, 5, 45, 66, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3893, 4798, 6081, 7226, 8196, 488, 1648, 3065, 3893, 4624, 6186, 6794, 8196, 555, 1623, 2838, 3838, 4512, 6211, 6996, 7664, 1033, 1265, 2918, 4096, 5183, 5436, 6829, 7677, 897, 1306, 2566, 3410, 4736, 5512, 6693, 7808, 795, 1275, 2156, 3282, 4881, 5212, 6737, 7395, 1024, 1403, 2946, 3656, 4346, 6024, 6663, 7535, 940, 1986, 2503, 3892, 4352, 5386, 6885, 7604, 899, 1724, 2709, 3564, 4326, 5573, 6871, 7916, 878, 1452, 2403, 4102, 4186, 5918, 6396, 7393, 789, 1847, 2468, 4006, 5135, 6058, 6283, 7477, 715, 1452, 3007, 3645, 5092, 5553, 6889, 7838, 756, 2060, 2771, 3798, 4535, 5763, 6443, 7936, 844, 2118, 2783, 3662, 5157, 5476, 7094, 7496, 319, 1825, 2725, 4103, 4802, 5765, 6224, 7479, 1019, 1630, 2751, 3832, 5124, 5490, 7129, 7913, 462, 1608, 2487, 4079, 4298, 5512, 6536, 7831, 880, 1266, 2486, 3417, 4644, 5870, 6700, 8197, 952, 1621, 2210, 3394, 4604, 5734, 6729, 7337, 228, 1794, 3091, 4007, 4388, 5925, 6772, 7367, 225, 1945, 2918, 3918, 4267, 6086, 7229, 7660, 518, 1794, 2302, 3826, 5079, 6006, 6563, 8058, 518, 1186, 2596, 3254, 4925, 5677, 6760, 7664, 820, 1460, 2582, 3591, 4360, 5515, 6903, 7712, 1071, 2036, 2282, 3488, 4664, 5610, 6291, 7826, 492, 1349, 2498, 3245, 4780, 6111, 6963, 7398, 247, 1472, 2636, 4072, 5004, 6106, 6908, 7892, 559, 1581, 2830, 3615, 4364, 6159, 7052, 8208, 462, 1397, 2951, 3989, 4601, 6107, 6770, 7938, 465, 2033, 2725, 3777, 4323, 5828, 7050, 7453, 887, 2033, 2534, 3425, 4423, 5616, 6494, 8241, 150, 1302, 2750, 3454, 4297, 6055, 7168, 7582, 725, 1708, 3003, 3878, 4734, 5908, 6815, 7518, 363, 1782, 2901, 3536, 4903, 5737, 6289, 8069, 535, 1948, 2414, 3191, 4495, 5584, 7002, 8031, 608, 1550, 2345, 3329, 4790, 5712, 7043, 7945, 807, 1834, 2355, 3442, 4539, 5777, 7103, 7580, 299, 1289, 2678, 3366, 4364, 5519, 6687, 7797, 150, 1397, 2163, 3864, 4691, 6167, 6414, 7447, 150, 2059, 3101, 3183, 5129, 5205, 6905, 8207, 1081, 1393, 2924, 4132, 5160, 5981, 6978, 7397, 610, 1302, 2583, 4027, 4536, 5804, 6719, 7539, 1025, 1238, 2648, 3430, 5061, 5700, 7207, 7918, 1025, 1296, 2688, 4096, 4374, 6006, 7230, 7260, 986, 1563, 2503, 4007, 4635, 5576, 7078, 7508, 443, 1550, 2309, 3536, 4321, 5318, 6540, 7957, 266, 1550, 2748, 4096, 4561, 5482, 6847, 8074, 807, 1682, 2402, 3218, 4777, 5523, 6684, 7480, 266, 1141, 2638, 3395, 4933, 5563, 6632, 7677, 314, 2095, 2918, 3243, 5169, 5935, 6485, 7778, 386, 1794, 2795, 3427, 4717, 5935, 6244, 7262, 725, 2047, 2178, 4102, 4682, 5357, 6287, 7954, 1011, 1340, 2282, 3472, 4294, 5594, 6590, 7959, 386, 1531, 2847, 3174, 4395, 5790, 6542, 8064, 1024, 1400, 2868, 3623, 4675, 5265, 7099, 7676, 692, 1723, 2497, 3410, 4902, 5686, 6308, 7527, 722, 1415, 2725, 3937, 4440, 5223, 6313, 7947, 668, 1637, 2429, 3623, 4857, 5624, 6403, 7660, 692, 1206, 2940, 3788, 5148, 6135, 6623, 7689, 692, 1826, 2377, 3410, 4954, 5874, 6414, 8125, 504, 1826, 2874, 3865, 4700, 5677, 6688, 7563, 1014, 1494, 2183, 3474, 4364, 5858, 6528, 7397, 317, 1494, 2156, 3294, 4604, 5250, 6357, 7816, 317, 1675, 2497, 3613, 4904, 6170, 7050, 8078, 708, 2091, 3052, 3582, 5084, 5610, 6520, 7956, 1062, 1759, 2675, 3949, 4609, 5485, 6566, 7962, 113, 1299, 3049, 3212, 4493, 5323, 6311, 8184, 923, 1199, 2348, 3560, 5095, 5873, 6583, 8214, 887, 1582, 2161, 3763, 4952, 5366, 7005, 7277, 1005, 1724, 2266, 4168, 4829, 5778, 6269, 7869, 271, 2084, 2743, 3300, 5085, 6117, 6476, 7901, 1019, 1682, 2260, 3496, 4444, 5439, 6569, 7273, 736, 1594, 2309, 3239, 4452, 5847, 6969, 7983, 875, 1205, 2868, 4099, 4506, 5624, 6592, 7305, 875, 1935, 2309, 4099, 4539, 5615, 6413, 8039, 887, 1477, 2678, 3314, 4539, 5931, 6649, 8168, 804, 1499, 2610, 3487, 4822, 6123, 6688, 7716, 1056, 1675, 2860, 3615, 4630, 6085, 6405, 8238, 308, 1477, 2730, 3440, 4379, 5705, 7168, 8185, 1056, 1963, 3110, 3201, 4276, 5498, 6719, 8107, 390, 1705, 2695, 4011, 5153, 5210, 6515, 8195, 308, 1791, 2866, 4041, 4592, 5832, 7218, 8066, 682, 1910, 3129, 3795, 4717, 6087, 6737, 7710, 895, 1969, 2706, 3487, 4716, 5984, 6870, 7545, 141, 1199, 3010, 4008, 4818, 5768, 6783, 7602, 604, 1171, 2951, 3936, 4612, 5411, 6669, 7740, 584, 1171, 2951, 3835, 4679, 5648, 6556, 8009, 793, 1346, 2198, 3306, 4899, 6125, 6282, 8257, 966, 1653, 3049, 3981, 4321, 5553, 7133, 7362, 1040, 1681, 2869, 3688, 4906, 5983, 6315, 7456, 536, 2118, 2670, 3181, 5031, 6121, 6686, 7533, 1066, 1490, 2720, 3394, 4802, 5656, 6244, 7496, 894, 1408, 2260, 3171, 4319, 6135, 6255, 7436, 1084, 1989, 2903, 3623, 4949, 6217, 6396, 7886, 776, 1828, 2532, 3188, 5150, 6010, 6298, 7778, 678, 1865, 3112, 4027, 5107, 5259, 6584, 8233, 776, 1566, 2970, 3717, 4234, 5924, 6740, 8010, 895, 1974, 2298, 4163, 5124, 5608, 6456, 7770, 665, 1440, 2667, 4091, 4579, 6077, 7026, 7329, 404, 1912, 2137, 4073, 5152, 5512, 7123, 8234, 277, 1440, 3003, 3436, 4457, 6010, 6791, 7890, 1001, 1146, 2173, 3436, 4339, 6080, 6258, 7999, 1001, 2117, 2173, 3727, 4176, 6080, 6763, 8224, 113, 1516, 2173, 4072, 4733, 5958, 6514, 7555, 1008, 1926, 3029, 3380, 5175, 5465, 6494, 8191, 774, 1926, 2348, 3924, 4364, 5410, 6842, 7913, 635, 1440, 2581, 3356, 4539, 5856, 6263, 7884, 693, 1972, 2961, 3284, 4731, 6167, 6902, 7990, 473, 1747, 2762, 4004, 4999, 6087, 6857, 7704, 186, 1925, 2677, 3617, 4861, 5550, 7018, 7727, 935, 1620, 2391, 3645, 4374, 6205, 7132, 7806, 935, 2000, 2781, 3645, 4630, 6103, 7023, 7807, 186, 1528, 3007, 3886, 5080, 6131, 6630, 8260, 552, 1304, 3109, 4166, 5080, 5493, 7120, 7664, 757, 1332, 2899, 3391, 4877, 6175, 6953, 7555, 617, 2111, 2287, 4026, 4512, 5650, 7098, 7855, 757, 2114, 3109, 3891, 5167, 6056, 6251, 7373, 617, 1597, 2718, 3391, 5143, 5364, 6763, 7303, 552, 1468, 2340, 4153, 4287, 5385, 7100, 7429, 484, 2065, 3095, 3391, 4681, 5850, 6612, 7865, 201, 2073, 2806, 3188, 5060, 5963, 7132, 8237, 488, 2032, 2806, 3803, 5080, 5635, 6688, 8147, 488, 2017, 2806, 3893, 4624, 6139, 7226, 8223, 956, 1648, 2781, 3226, 5058, 5635, 7084, 7485, 1097, 1705, 3043, 3945, 4551, 5241, 6752, 8237, 335, 1668, 3144, 3918, 4760, 5705, 6507, 7557, 266, 2035, 2436, 4053, 4435, 5294, 6918, 7481, 608, 1858, 2998, 3965, 4543, 5679, 6763, 7608, 993, 1582, 2258, 4119, 4948, 5773, 7067, 8092, 526, 1655, 2805, 3165, 5144, 5670, 6571, 7980, 535, 2059, 2258, 3937, 4218, 5576, 6393, 8113, 535, 2059, 2453, 3936, 5050, 5719, 6275, 8061, 896, 1586, 2677, 4003, 4810, 5918, 6313, 7442, 535, 1510, 2506, 4130, 4684, 5581, 6948, 7634, 993, 1918, 2506, 3371, 4381, 5263, 6449, 7817, 936, 1938, 2436, 3909, 4810, 5339, 6449, 7473, 1025, 1399, 2282, 3762, 4841, 5441, 6574, 8140, 1025, 1948, 3003, 3285, 4641, 5599, 6302, 7676, 1025, 1296, 2724, 3697, 5001, 5457, 6736, 8009, 1029, 1850, 2455, 3410, 4954, 6181, 7096, 8041, 104, 1708, 3080, 4153, 4763, 6163, 6870, 7555, 104, 1708, 3003, 4150, 5096, 5589, 7019, 7918, 936, 1964, 2312, 3880, 4318, 5658, 6691, 8092, 286, 1402, 3040, 3222, 4943, 5970, 6795, 7474, 226, 1721, 3040, 3791, 5074, 5512, 7195, 7900, 910, 2036, 3040, 3536, 4347, 5526, 6838, 8149, 966, 1630, 3040, 3567, 4293, 6002, 6596, 7937, 179, 2009, 2173, 3486, 4736, 5822, 6969, 8061, 192, 1167, 2173, 4037, 4415, 6194, 6664, 8002, 249, 1984, 2491, 3486, 4414, 6118, 6300, 7422, 810, 1296, 2521, 3486, 5030, 6135, 6643, 7900, 465, 1604, 2727, 4053, 5081, 5719, 6782, 8149, 1001, 1509, 3030, 3161, 4824, 6002, 6670, 7875, 1057, 1363, 2440, 3276, 4567, 6183, 6224, 8143, 1057, 1730, 2564, 3525, 4786, 5722, 7230, 8062, 1057, 1672, 2564, 3688, 5042, 6143, 6985, 7722, 1057, 1672, 2564, 3688, 4392, 5513, 6478, 7475, 840, 1924, 2564, 3794, 4699, 5776, 6240, 7984, 778, 1755, 2564, 3984, 4699, 5500, 7129, 8087, 150, 1227, 2389, 3452, 5134, 6007, 7017, 8205, 150, 1630, 2868, 3452, 4575, 5978, 6426, 7825, 150, 1630, 2868, 3452, 4941, 5228, 6497, 7563, 778, 1771, 2256, 3968, 4650, 5952, 7201, 7528, 896, 1895, 2933, 3235, 4799, 5344, 7053, 7790, 1040, 1149, 2751, 3967, 5050, 5537, 6998, 8030, 1041, 1919, 2358, 3735, 4469, 5512, 6422, 7301, 113, 1828, 3049, 3265, 5114, 5404, 7229, 7807, 914, 1982, 3101, 3869, 4276, 6010, 6717, 7922, 571, 1499, 2960, 4115, 5183, 5811, 6630, 8107, 308, 1939, 2834, 3430, 5080, 6175, 6774, 7753, 779, 1660, 3128, 4174, 4861, 5219, 6771, 7806, 308, 1508, 2991, 4108, 4782, 5241, 6588, 8260, 684, 2046, 2947, 3932, 4822, 5630, 7077, 8066, 390, 1791, 2880, 3240, 5085, 5661, 7168, 7870, 363, 1965, 2515, 3991, 4732, 5436, 6938, 7570, 943, 1482, 2751, 3842, 5110, 5315, 7139, 8081, 604, 2036, 2282, 3721, 4946, 5645, 6318, 7604, 310, 2118, 2232, 3394, 4368, 6119, 6875, 7864, 247, 1934, 2325, 3356, 4236, 6053, 7154, 7509, 310, 2118, 3146, 3251, 4604, 6135, 7040, 8050, 302, 2118, 2348, 3261, 4208, 5337, 6619, 7524, 988, 2118, 2999, 3714, 4326, 5307, 6327, 7944, 884, 1653, 2431, 4159, 4302, 6197, 6596, 7693, 1057, 1938, 2688, 3394, 4314, 5325, 7215, 8038, 1084, 2036, 2951, 3543, 4804, 6015, 7137, 8015, 1090, 1275, 2871, 4006, 4654, 5344, 7243, 7873, 1056, 1581, 2729, 3866, 4285, 5366, 6901, 8093, 571, 1175, 3001, 3680, 4834, 5631, 7168, 8078, 510, 1847, 2679, 3803, 4822, 6129, 7095, 7421, 984, 1943, 2838, 3886, 4558, 6009, 6752, 7753, 935, 2032, 2947, 4114, 4713, 6205, 7090, 7764, 935, 2111, 2991, 3516, 4630, 5705, 6588, 8267, 682, 1320, 3007, 3961, 4918, 5513, 6338, 7965, 579, 1876, 3112, 3662, 5026, 5993, 7019, 7650, 955, 1633, 2936, 3241, 4969, 5904, 7237, 8097, 752, 1503, 2799, 4039, 4214, 6046, 6348, 8188, 113, 1660, 2719, 3777, 4437, 5863, 7042, 8189, 664, 1183, 2348, 3991, 5144, 5887, 6623, 8235, 875, 2118, 3070, 3456, 4201, 5464, 7166, 8232, 672, 1597, 2271, 3770, 4571, 5325, 6884, 7490, 862, 1553, 2751, 3973, 5005, 5552, 6314, 7997, 902, 1808, 3039, 3850, 4641, 5601, 6768, 8129, 487, 1682, 2610, 4070, 4576, 5224, 6640, 7549, 986, 1125, 2595, 3792, 4595, 5341, 6640, 7702, 1090, 1985, 2267, 3537, 4934, 5840, 6984, 8041, 453, 1186, 2419, 3756, 4844, 5727, 6224, 7959, 568, 1963, 2596, 3498, 4521, 5276, 7079, 7549, 195, 1652, 2860, 3994, 4596, 5493, 6613, 8178, 518, 1961, 2989, 3298, 4423, 5223, 7170, 7494, 518, 1252, 2596, 4106, 4775, 5280, 6734, 7846, 240, 1304, 3135, 3291, 5097, 5963, 6576, 7538, 240, 2078, 2316, 4161, 4560, 5514, 6468, 7707, 789, 2078, 2473, 3595, 4764, 5797, 6338, 8262, 789, 2078, 2904, 3955, 4555, 5515, 6612, 7887, 105, 2002, 2669, 3982, 4859, 6000, 6889, 7949, 617, 1826, 2924, 3593, 4225, 6075, 6840, 7716, 752, 1924, 2566, 3891, 4775, 6002, 6702, 7476, 668, 1821, 3029, 3900, 4941, 5470, 6915, 8128, 234, 1510, 2260, 3943, 4684, 5597, 7102, 7939, 862, 1881, 2751, 3593, 5154, 6170, 7136, 8201, 825, 1472, 2429, 3913, 4843, 5415, 6235, 7415, 1037, 1956, 2946, 3929, 5129, 5924, 7174, 7451, 356, 1519, 2566, 3771, 4801, 5512, 7162, 7687, 356, 1561, 2805, 3961, 4335, 5942, 6476, 7445, 980, 1550, 2369, 4149, 5053, 6058, 6493, 7828, 1037, 1954, 2138, 3913, 5022, 6144, 6627, 7386, 980, 1281, 2932, 3516, 4681, 6070, 6515, 8195, 103, 1460, 2860, 3922, 4980, 5694, 7162, 8260, 750, 1339, 2315, 4145, 4609, 5843, 6810, 7962, 614, 1550, 3066, 4074, 4861, 6218, 7220, 7704, 1029, 1918, 2426, 3908, 5169, 5750, 6364, 7612, 936, 1388, 2402, 3358, 5043, 5697, 6646, 7954, 363, 1782, 2751, 3502, 4346, 5988, 6763, 8028, 1101, 1732, 3056, 3770, 4321, 6062, 6978, 7651, 271, 1442, 2791, 3765, 4872, 5976, 6648, 7513, 876, 1494, 2987, 4038, 5180, 5257, 6569, 7490, 876, 1171, 2564, 4098, 4723, 5869, 6557, 7968, 1008, 2107, 2564, 3689, 4906, 5614, 6224, 7640, 981, 1758, 2261, 3964, 5134, 5838, 6933, 7962, 678, 1918, 3104, 3578, 4266, 5352, 6367, 8115, 913, 1663, 2378, 3817, 4382, 5432, 6533, 8139, 692, 2079, 2548, 3332, 4945, 5960, 6760, 7710, 1084, 1847, 2548, 4101, 5050, 6113, 6659, 7378, 1011, 1586, 2218, 3478, 4381, 5314, 7195, 7290, 981, 1271, 2348, 3832, 4214, 6005, 7086, 7415, 103, 2107, 3097, 4082, 4535, 5684, 6270, 7966, 356, 1489, 2349, 3340, 5127, 5228, 6377, 7962, 1097, 1623, 3006, 4145, 4727, 6103, 6988, 7919, 818, 1998, 3117, 3188, 5058, 5968, 7084, 8267, 419, 1974, 2925, 3298, 4762, 6137, 6515, 8260, 256, 1695, 2654, 3518, 4387, 5825, 7207, 8188, 105, 1695, 2729, 3595, 5088, 6149, 7098, 8132, 488, 2017, 3117, 3914, 4870, 5963, 7132, 7949, 488, 2017, 2806, 4071, 5061, 6139, 6589, 8260, 488, 1528, 2806, 3825, 4624, 6139, 7239, 8223, 488, 1622, 2914, 3825, 4624, 6139, 7124, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4624, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3893, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 76, 33, 54, 5, 43, 48, 5, 63, 48, 29, 66, 5, 31, 16, 5, 64, 48, 66, 5, 17, 75, 5, 76, 20, 63, 5, 5, 5, 45, 66, 5, 76, 11, 78, 5, 31, 16, 5, 64, 39, 53, 5, 67, 45, 55, 5, 57, 75, 35, 5, 16, 42, 33, 54, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 488, 1648, 2914, 3825, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1528, 2340, 3893, 4888, 6081, 7124, 8223, 484, 2106, 3026, 3904, 4622, 6081, 6688, 8076, 142, 1622, 2914, 3825, 4624, 5901, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 7077, 8196, 488, 1622, 3065, 3825, 4624, 6139, 7077, 7766, 818, 1191, 3065, 4170, 4624, 5832, 6996, 8223, 211, 2005, 2542, 3681, 4980, 5340, 6302, 7887, 893, 1290, 2944, 4062, 4900, 5299, 6978, 8099, 840, 2070, 2938, 3576, 4389, 5972, 7170, 7954, 1040, 1333, 2552, 4091, 4836, 5302, 6780, 8049, 535, 1510, 3031, 4091, 4736, 5799, 7181, 7647, 608, 1510, 2239, 3316, 4443, 5659, 7050, 8000, 223, 1858, 2710, 4096, 4417, 5587, 6839, 7989, 545, 1688, 2987, 3174, 4541, 5441, 6452, 8236, 1004, 1695, 2365, 3934, 4266, 5764, 7224, 8149, 632, 2008, 2665, 3532, 4364, 5659, 7078, 7318, 221, 1834, 2497, 3243, 4448, 6052, 6701, 7627, 986, 2091, 3040, 3848, 5043, 5492, 6419, 7438, 582, 1550, 2945, 3376, 4757, 6207, 6601, 7547, 995, 1550, 2607, 3692, 4777, 5308, 6544, 8107, 1088, 1545, 2565, 3706, 4733, 6222, 6466, 8103, 547, 2002, 2188, 3956, 5092, 5620, 6683, 7495, 386, 1509, 2207, 4103, 5050, 5503, 7037, 7538, 1025, 1404, 2740, 3316, 4761, 6156, 6348, 7429, 575, 1682, 2740, 3777, 4447, 6086, 6502, 7409, 1005, 1763, 3112, 3811, 4787, 5911, 7028, 7614, 759, 1280, 3135, 3273, 4549, 5834, 7111, 8135, 1062, 1562, 3060, 3550, 4475, 5641, 6876, 7807, 262, 1886, 3026, 3782, 4244, 5965, 7228, 7906, 1006, 1510, 2400, 4159, 4306, 5776, 6309, 8101, 870, 1985, 2994, 4013, 5179, 5212, 6706, 8115, 870, 1550, 3018, 4155, 4288, 5998, 6935, 8225, 480, 1996, 2142, 4008, 4996, 5542, 7017, 7981, 986, 1339, 2144, 4155, 4578, 5542, 7232, 8051, 231, 1906, 3020, 3709, 4776, 5661, 7099, 7491, 1056, 1668, 2142, 3951, 5088, 6103, 7224, 8083, 914, 2046, 2880, 4085, 4859, 5730, 7162, 8185, 859, 1705, 2946, 3420, 5098, 5610, 7201, 8093, 1020, 2090, 3147, 3424, 4764, 5777, 6657, 7973, 874, 1706, 2356, 3364, 4420, 5944, 6396, 7263, 225, 1623, 3110, 3550, 4412, 5550, 7129, 7715, 518, 1147, 2970, 4145, 4504, 5630, 7120, 8061, 225, 1452, 2718, 4145, 4716, 5548, 6452, 7811, 183, 1801, 2656, 4125, 4512, 5678, 7043, 8209, 256, 1525, 2175, 3651, 4890, 5223, 6919, 8260, 543, 1452, 2833, 3666, 4421, 5550, 6996, 8266, 419, 2111, 2468, 3770, 4549, 5413, 6589, 7715, 789, 1623, 2468, 3413, 4681, 5241, 6966, 8185, 256, 1750, 2473, 3555, 4398, 5963, 6810, 8237, 899, 2065, 2356, 4174, 4387, 5436, 7024, 7555, 424, 1281, 3026, 4098, 4955, 5677, 7010, 7563, 676, 1516, 2678, 3426, 5103, 5220, 7114, 7546, 1019, 1480, 2486, 3641, 5100, 5588, 6319, 7669, 962, 1211, 2693, 4010, 4236, 5664, 6881, 8173, 886, 1171, 2697, 3446, 4724, 5643, 6756, 7435, 654, 1547, 2151, 3359, 4458, 5325, 6265, 7682, 654, 1525, 3053, 4125, 5107, 6028, 6452, 8061, 654, 2002, 2875, 4113, 4398, 5385, 6671, 7865, 518, 1524, 2315, 3933, 4278, 5763, 7058, 7920, 228, 1851, 2989, 3879, 4877, 5413, 6752, 8185, 127, 2078, 2729, 4174, 4287, 5493, 7103, 7723, 127, 2013, 2860, 4071, 4870, 5223, 6607, 7716, 127, 1468, 2925, 3470, 4529, 5832, 6604, 7677, 127, 1468, 2659, 3595, 4870, 5515, 7024, 7865, 518, 1756, 2251, 4106, 4775, 6137, 6979, 7715, 183, 1147, 2944, 3933, 4872, 5514, 6507, 7643, 613, 1345, 3080, 3217, 4953, 5360, 6646, 7816, 392, 1958, 2655, 3952, 4796, 5580, 6870, 7542, 582, 1831, 2481, 3446, 5031, 6194, 6924, 7570, 986, 1305, 2429, 3236, 4745, 6002, 6563, 7508, 448, 1782, 2607, 4021, 5110, 5485, 6905, 8005, 582, 1388, 2429, 3709, 4801, 5223, 6224, 8174, 653, 2095, 2678, 3873, 4486, 6066, 6521, 7823, 103, 1388, 2856, 3886, 4793, 5827, 6560, 7775, 512, 1370, 3007, 4174, 5052, 5963, 7100, 7723, 804, 2001, 2429, 3931, 4890, 5550, 7085, 7641, 421, 1897, 2882, 3562, 4431, 6117, 6424, 8055, 504, 2008, 2380, 3967, 4444, 6149, 6382, 7689, 314, 1820, 3039, 3928, 4320, 5223, 6848, 7516, 386, 1490, 2678, 3704, 4981, 5594, 6896, 8139, 643, 1318, 2998, 3701, 4935, 5735, 7098, 7775, 959, 1499, 2754, 3945, 4803, 5216, 6588, 7296, 288, 1499, 2959, 3516, 4558, 5694, 6852, 7971, 390, 1791, 2838, 4011, 4888, 5710, 6774, 8185, 1056, 1675, 3007, 3540, 4181, 5694, 6752, 7570, 211, 1851, 2957, 3649, 5115, 6182, 7217, 7537, 715, 1978, 3008, 3413, 4276, 6175, 7142, 8107, 951, 2046, 2154, 3206, 5183, 5346, 7207, 7290, 833, 1791, 2965, 3206, 4611, 6025, 6776, 8080, 1051, 1897, 3007, 4071, 4191, 5439, 6852, 7976, 390, 1791, 2586, 3712, 4925, 5661, 7201, 7806, 1090, 1919, 2926, 3795, 5183, 5684, 7132, 7856, 1025, 1916, 3003, 3322, 4241, 5299, 7100, 8066, 1025, 1867, 2771, 3206, 4287, 5869, 6901, 7895, 1025, 2019, 2435, 3989, 4469, 6175, 6493, 8208, 1008, 1915, 2231, 3755, 4565, 6146, 6771, 7607, 1025, 1166, 2435, 3845, 4335, 5492, 6632, 8209, 826, 1290, 2605, 3842, 4565, 6070, 6386, 7641, 504, 1290, 2605, 4082, 4607, 5540, 6562, 7430, 1011, 1893, 2750, 3345, 5189, 5350, 6393, 8212, 1008, 1633, 3106, 3678, 4631, 5936, 6517, 7369, 1024, 1251, 2445, 3949, 4595, 5526, 6720, 7479, 547, 1316, 2520, 4145, 4531, 5540, 6493, 7933, 1011, 1179, 2515, 3454, 4533, 5557, 6584, 7682, 938, 1775, 2307, 3755, 4924, 6074, 6899, 8108, 770, 1974, 2520, 4081, 4861, 6002, 6930, 7516, 1016, 1974, 2425, 4146, 4531, 5231, 6498, 7906, 1022, 1672, 2365, 3813, 5083, 6138, 7149, 8020, 110, 1704, 3033, 3241, 4700, 5486, 6784, 7264, 494, 1706, 2661, 3749, 4903, 5380, 6565, 7379, 770, 1905, 3054, 4125, 4404, 6158, 6704, 8254, 1001, 1742, 2757, 3475, 5015, 5734, 6314, 7567, 537, 1742, 2740, 3778, 4536, 5293, 6512, 7642, 1001, 1742, 2307, 3310, 4690, 6128, 7246, 7741, 265, 2114, 2905, 3820, 4529, 5572, 7018, 7532, 1088, 1628, 2952, 3758, 4918, 5548, 7153, 8189, 1056, 1673, 2741, 3895, 4580, 5965, 6979, 7768, 171, 1510, 2231, 3908, 4413, 5684, 6992, 7855, 405, 1108, 2741, 3231, 4451, 5815, 6464, 7476, 512, 1490, 2771, 4025, 5171, 5216, 6715, 7831, 510, 1851, 2957, 4097, 5145, 5981, 6840, 8076, 484, 1791, 2960, 3994, 4555, 6123, 7098, 8236, 201, 2017, 2996, 3226, 4867, 5901, 6786, 8260, 488, 1622, 3110, 3803, 4888, 5635, 6515, 7949, 818, 2017, 2164, 3893, 4888, 5635, 7226, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8196, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 915, 2017, 2164, 3893, 4366, 5635, 6996, 8196, 878, 1411, 2934, 3671, 4875, 5202, 6466, 7303, 189, 1164, 2404, 3259, 4364, 5809, 6364, 8057, 491, 1118, 3106, 3933, 4676, 5492, 6476, 7519, 582, 1375, 2736, 3525, 4995, 5456, 7224, 7856, 308, 1791, 2729, 3370, 5160, 6187, 6683, 7582, 914, 1963, 3021, 3870, 4870, 6103, 6575, 8261, 757, 1964, 2729, 4135, 4192, 5832, 6830, 7678, 541, 1789, 2573, 3973, 4536, 5963, 7069, 8262, 308, 1821, 2925, 3826, 4859, 5832, 6589, 7262, 779, 1620, 2947, 3918, 4276, 5678, 7149, 7876, 424, 1175, 3043, 4135, 5145, 6149, 6850, 7865, 1003, 1778, 2192, 3370, 4942, 5868, 7217, 7899, 1008, 1399, 2743, 3603, 4935, 6120, 6731, 7679, 864, 1740, 2762, 3936, 4218, 5475, 7037, 7902, 668, 2114, 2149, 3471, 4319, 5291, 6234, 8140, 692, 1653, 2401, 3741, 4502, 5251, 7126, 8254, 113, 1139, 2710, 4015, 4347, 6135, 7192, 8049, 629, 1455, 2561, 3878, 4894, 5465, 6830, 8061, 654, 1547, 2720, 3581, 4574, 5459, 7069, 7367, 127, 1596, 2560, 4074, 5080, 5963, 7044, 7256, 240, 1847, 3000, 4111, 5104, 6051, 6426, 7555, 914, 1175, 2181, 3407, 5145, 6168, 6749, 8185, 878, 1756, 2926, 4089, 4863, 6062, 6625, 8161, 899, 1178, 2775, 3596, 5088, 5296, 7168, 7716, 955, 1608, 2469, 3990, 5058, 5702, 7047, 7887, 942, 1499, 2436, 3832, 4678, 6015, 6938, 7936, 1071, 1924, 2346, 4078, 4226, 5950, 6891, 7906, 613, 2046, 2271, 3723, 4828, 5637, 6515, 7288, 878, 1467, 2798, 3623, 5007, 5581, 6550, 8137, 568, 1485, 3032, 3424, 4412, 5610, 7106, 8140, 195, 1540, 2596, 3543, 4877, 6189, 6800, 7341, 195, 2002, 2137, 3595, 4478, 6149, 7220, 7906, 654, 2111, 3091, 3359, 5075, 6149, 6677, 7732, 228, 1923, 2181, 3832, 5075, 5677, 6612, 7753, 654, 1496, 2454, 3873, 4344, 5844, 6296, 7717, 654, 2106, 2596, 3798, 4398, 5514, 7129, 7557, 654, 2111, 2904, 3914, 4716, 5840, 6753, 7555, 256, 2002, 2287, 4078, 4939, 6160, 7058, 8185, 552, 1490, 3098, 3945, 5079, 5677, 6477, 8107, 160, 1508, 2332, 3602, 5138, 5797, 7111, 7426, 249, 1471, 2312, 3610, 4364, 5440, 6267, 7920, 862, 1372, 2927, 3162, 4209, 5794, 6783, 7527, 668, 1732, 3112, 3547, 4995, 6204, 6556, 7318, 986, 1931, 2751, 3372, 4556, 5347, 6764, 7823, 113, 1118, 2693, 3870, 4853, 5443, 7229, 7724, 986, 1357, 3076, 3695, 4688, 5643, 6847, 8119, 850, 1116, 2440, 3361, 4945, 5734, 6743, 7875, 778, 1820, 2751, 3762, 4602, 6119, 7098, 7474, 1090, 1146, 2436, 3955, 5061, 5893, 7207, 7614, 610, 1238, 2924, 3634, 4470, 5765, 7010, 7256, 887, 1255, 2429, 3393, 4691, 5500, 6980, 7367, 1090, 2107, 2678, 3917, 4993, 5950, 6684, 7582, 610, 1577, 2391, 3233, 4993, 5694, 7207, 8099, 1056, 1675, 3039, 3932, 4573, 6007, 7004, 7677, 510, 2068, 2340, 3916, 4630, 6175, 7207, 7641, 914, 1620, 2582, 3188, 4622, 5661, 6996, 7723, 901, 2030, 2469, 4124, 5120, 5360, 7222, 7828, 878, 2065, 2473, 3742, 4276, 5963, 6888, 7604, 512, 1918, 3098, 3990, 4289, 5677, 6889, 7717, 459, 1879, 2959, 3706, 4848, 5404, 6938, 7861, 492, 1636, 2725, 3572, 5184, 5461, 6640, 7389, 247, 1472, 2830, 3558, 4219, 5224, 6803, 8262, 487, 1581, 2830, 3936, 4677, 5530, 6563, 7263, 807, 1118, 3116, 4066, 4910, 6119, 6348, 7905, 391, 1244, 2534, 4103, 4896, 6058, 6348, 8178, 831, 1850, 2661, 3271, 4845, 5874, 6958, 8039, 826, 1399, 2436, 3558, 4437, 5653, 6781, 8107, 778, 1978, 2563, 3801, 4440, 5765, 6614, 7825, 104, 1682, 2429, 4124, 4388, 5664, 6897, 8080, 641, 1210, 2736, 3154, 4321, 5982, 6603, 7530, 404, 1621, 2387, 4007, 4187, 5637, 6791, 7881, 113, 1838, 2533, 3839, 4506, 5905, 6870, 7603, 1080, 1469, 2762, 3623, 4538, 5810, 6710, 7981, 547, 1469, 2149, 3829, 4376, 5719, 6426, 7878, 1011, 1489, 3061, 3865, 5041, 6002, 6941, 7971, 1016, 2053, 2628, 3400, 5042, 5479, 6551, 7586, 887, 1290, 2869, 3288, 4950, 5294, 7100, 8099, 887, 1468, 2498, 4087, 4467, 5221, 6891, 7751, 645, 1851, 2838, 4150, 4467, 5439, 6668, 7887, 256, 1467, 2473, 3540, 4792, 5671, 7201, 7298, 756, 2030, 3006, 4011, 4555, 5216, 6979, 7768, 489, 2107, 2473, 3918, 5139, 5276, 6938, 7718, 878, 1675, 2925, 3982, 5194, 5548, 6614, 7535, 1062, 1681, 2503, 3826, 5070, 5259, 6627, 7716, 641, 1867, 2397, 3183, 4834, 5804, 6919, 8080, 802, 1415, 2234, 3811, 4324, 5796, 7162, 7490, 641, 1453, 2793, 3430, 5164, 5584, 6668, 7518, 778, 1323, 2159, 3370, 4890, 5589, 6840, 8056, 1005, 1139, 2924, 4030, 5164, 5353, 6422, 7768, 610, 1453, 2924, 4127, 4604, 6032, 6820, 7602, 536, 1118, 2763, 3224, 4620, 6012, 6840, 7822, 344, 1510, 3049, 3205, 4205, 5489, 6787, 7298, 569, 1918, 2987, 3741, 4385, 5790, 6969, 8189, 1003, 1778, 2987, 4096, 4621, 6002, 6547, 7313, 1025, 1472, 2708, 3822, 4777, 5695, 6740, 7485, 103, 1978, 2346, 3541, 4845, 5810, 6422, 7355, 510, 1876, 2895, 3391, 4849, 5296, 6348, 8266, 308, 1600, 3021, 3488, 4822, 5899, 7152, 7893, 663, 1116, 2880, 3914, 5165, 5658, 6437, 7448, 397, 2025, 2547, 3213, 5040, 5318, 6251, 7495, 1090, 1562, 2601, 3961, 5079, 5586, 6614, 7908, 902, 1989, 2751, 3844, 4920, 6066, 6443, 7965, 807, 1942, 2978, 3913, 5075, 5579, 6579, 7530, 668, 1397, 3029, 3547, 4371, 5827, 6915, 7727, 1036, 1461, 3116, 3392, 4805, 5387, 6816, 8240, 165, 1120, 2751, 3741, 4254, 5827, 6444, 8171, 662, 1942, 2379, 3913, 5088, 5510, 6507, 7770, 693, 2024, 3116, 3298, 4205, 5365, 6457, 7628, 620, 2003, 2775, 3981, 4995, 5723, 6309, 7279, 952, 1422, 2615, 3639, 4214, 5643, 6716, 7808, 575, 1171, 2741, 3456, 4364, 5618, 6650, 7557, 951, 1363, 3130, 3349, 4980, 5952, 6348, 8092, 571, 1548, 3101, 3167, 4981, 5202, 7049, 7918, 390, 1566, 2778, 3410, 5090, 5668, 6810, 7329, 980, 2121, 2515, 3201, 4633, 5687, 7111, 7557, 831, 1913, 2515, 3961, 4536, 6123, 6775, 7602, 424, 1989, 3064, 4150, 5088, 6195, 7160, 7887, 308, 1791, 2326, 3891, 5061, 6129, 6668, 8267, 956, 1945, 3128, 3886, 4551, 5661, 7132, 7570, 552, 1752, 2991, 4166, 4681, 5767, 7058, 7720, 488, 1992, 3110, 3866, 4704, 5968, 7239, 8267, 818, 2017, 2895, 3710, 5080, 6139, 7006, 7766, 818, 2017, 2957, 4018, 5104, 6129, 7226, 8223, 555, 1648, 2970, 3914, 4622, 5892, 7152, 8236, 859, 1974, 2833, 3391, 4387, 5241, 7006, 7723, 617, 1695, 2880, 4149, 4622, 5219, 6996, 7677, 617, 2013, 3144, 4113, 4606, 5296, 6251, 8164, 617, 2106, 2858, 4068, 4536, 6149, 6996, 7716, 105, 2106, 2941, 4068, 4696, 5385, 6612, 7918, 617, 2002, 2979, 4071, 5120, 5352, 6772, 8080, 617, 2002, 3064, 3515, 4555, 5924, 6688, 8076, 617, 2127, 2560, 3917, 4549, 6163, 6717, 7721, 4, 2 ]

[ 1, 62, 63, 11, 62, 35, 5, 32, 54, 50, 60, 53, 16, 54, 66, 5, 5, 3, 945, 1528, 2806, 4071, 5038, 5901, 7239, 7485, 860, 2017, 3117, 3803, 5038, 5883, 7201, 7949, 874, 1308, 2398, 3649, 4862, 6056, 6603, 8093, 489, 2106, 2324, 3805, 4638, 5677, 6485, 7631, 541, 1141, 2254, 3680, 4265, 5528, 6583, 7276, 537, 2106, 2520, 3680, 4583, 6072, 6308, 8039, 706, 1517, 2827, 3778, 4856, 5555, 6231, 7988, 974, 2069, 2777, 3413, 5094, 6142, 7195, 7767, 681, 1865, 2787, 3965, 4436, 5295, 6995, 8020, 966, 1838, 2685, 3189, 4539, 5885, 6571, 8205, 508, 1577, 2845, 3643, 4928, 5794, 6799, 7590, 974, 1199, 2385, 3601, 4861, 6080, 6703, 7816, 891, 1449, 2409, 3202, 5151, 6174, 7076, 8001, 450, 1743, 2582, 3982, 4792, 5548, 6688, 7859, 510, 1963, 2949, 4041, 5053, 5702, 6988, 7720, 337, 2073, 2880, 4018, 4558, 6131, 6972, 7421, 1099, 1508, 3150, 3866, 4782, 5901, 6709, 7723, 935, 1981, 3043, 3803, 4828, 6129, 6752, 8147, 337, 1963, 2957, 4018, 5159, 5702, 7239, 8083, 153, 1752, 3144, 3533, 4992, 5966, 7160, 7706, 475, 1992, 2293, 4145, 4512, 5276, 7222, 7876, 216, 1705, 2895, 3430, 5165, 5543, 6254, 7811, 1033, 1594, 3092, 4082, 4763, 5534, 6852, 7373, 150, 1499, 3092, 4151, 4429, 5475, 6376, 7899, 826, 1306, 2254, 3754, 4807, 5462, 7018, 7998, 806, 1509, 2805, 3706, 4763, 6031, 7114, 7772, 646, 1736, 2704, 3782, 4606, 5357, 6985, 7494, 802, 1586, 2974, 3782, 4353, 6154, 6980, 7728, 569, 1560, 2378, 3421, 4441, 5875, 6612, 7261, 807, 1918, 2987, 3889, 5031, 5782, 6440, 8065, 802, 1125, 2953, 3960, 4743, 5745, 7012, 7858, 839, 1283, 2724, 3421, 4678, 6017, 6497, 8050, 806, 1553, 2953, 3243, 4709, 5601, 7007, 7710, 807, 1459, 2359, 3314, 4972, 6105, 7056, 7869, 1035, 1695, 2203, 3682, 4720, 5918, 6706, 7913, 650, 1932, 2359, 3634, 4954, 5761, 6426, 7260, 1066, 1915, 2783, 3394, 4212, 6105, 6918, 8028, 778, 1797, 2783, 3910, 5011, 5289, 6612, 7312, 1071, 2113, 2316, 3634, 4359, 5364, 7229, 7930, 1035, 1915, 2705, 3540, 4482, 5740, 6830, 7720, 650, 1932, 2316, 3454, 5129, 5684, 7160, 7927, 390, 1455, 2996, 3642, 4966, 5719, 6967, 7631, 756, 1238, 2585, 4154, 4541, 5613, 7111, 8245, 225, 1905, 2457, 3922, 4402, 5904, 6486, 7252, 317, 1561, 2456, 3776, 4437, 5218, 6677, 8268, 844, 1336, 2401, 3782, 4530, 5802, 6944, 7975, 487, 1816, 2267, 3213, 5138, 6196, 6350, 7832, 325, 1886, 2548, 4137, 4952, 5643, 6680, 8229, 814, 1299, 2369, 4083, 4205, 6128, 7053, 7383, 665, 1463, 2336, 3276, 5015, 6002, 6640, 7470, 569, 2022, 2515, 3751, 4667, 5321, 6906, 8178, 893, 1743, 2536, 4137, 4565, 5410, 6769, 8189, 974, 1224, 2137, 4072, 4751, 5574, 7187, 7922, 646, 1376, 2491, 3154, 4755, 5313, 6431, 7975, 803, 2059, 2697, 4137, 5010, 5495, 6611, 7627, 761, 2059, 2171, 3623, 5054, 5662, 6234, 8049, 536, 1140, 3088, 3765, 5148, 6078, 7220, 7378, 936, 1916, 2987, 3764, 4586, 5613, 7081, 7669, 850, 1587, 2817, 3421, 4286, 5584, 7008, 8123, 160, 1671, 2309, 3754, 4483, 6065, 6860, 8091, 424, 1721, 2440, 3543, 4763, 5942, 6613, 7811, 1090, 1873, 2440, 3298, 4966, 5883, 6612, 7631, 1035, 1881, 2946, 4082, 4807, 5719, 6724, 8016, 850, 1935, 2946, 3756, 4895, 5978, 6348, 7986, 831, 1591, 2946, 3300, 5019, 5767, 6612, 7902, 725, 1212, 2661, 3613, 4707, 5826, 6581, 7827, 91, 1989, 2355, 3895, 4881, 5223, 6509, 7759, 575, 1653, 2635, 3165, 4773, 5810, 6669, 7762, 1081, 1758, 2936, 3413, 4565, 5285, 6765, 7490, 211, 1608, 2429, 3909, 4270, 5550, 6889, 7631, 512, 2000, 2783, 4082, 5104, 5694, 6850, 8209, 779, 1467, 2991, 4150, 4622, 5765, 7004, 7716, 512, 1508, 2803, 4145, 5165, 5219, 6709, 8195, 779, 1218, 2989, 3885, 4583, 6211, 7160, 7421, 512, 1218, 3064, 4114, 5061, 6103, 7218, 8083, 488, 1804, 3098, 4006, 5058, 6129, 7201, 7421, 617, 1910, 2554, 4018, 4918, 5350, 7084, 8237, 617, 2111, 3108, 3951, 4235, 5223, 6809, 7677, 555, 1406, 2970, 3367, 5076, 5385, 6584, 8179, 186, 1381, 2833, 4018, 4366, 6195, 7077, 8237, 488, 1381, 3117, 3825, 4624, 5612, 7077, 7876, 488, 1622, 3117, 3825, 5038, 6139, 7124, 7766, 488, 2017, 2806, 3893, 4624, 6081, 7124, 7766, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7077, 7766, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 16, 54, 30, 5, 64, 33, 30, 5, 44, 54, 5, 16, 5, 52, 23, 30, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 5219, 7077, 8147, 201, 2017, 2914, 3825, 4624, 6139, 7124, 8147, 915, 1304, 2806, 4145, 4398, 5767, 6889, 8147, 103, 2012, 2903, 3975, 5138, 5796, 6677, 8012, 189, 1316, 2725, 3660, 4865, 5578, 6614, 7815, 886, 1862, 2665, 3360, 4501, 6118, 6682, 8033, 1052, 1276, 2316, 3792, 4208, 6010, 6963, 7669, 572, 1616, 3116, 3394, 4962, 6003, 6455, 8222, 115, 1289, 2296, 3741, 4256, 6067, 6262, 7675, 955, 1620, 2608, 4154, 5138, 5675, 6400, 7305, 955, 1263, 2701, 3293, 4890, 6025, 7084, 8215, 610, 1255, 2895, 3540, 5166, 5481, 6774, 7570, 211, 2053, 2669, 3918, 5165, 6205, 6430, 8066, 1090, 1721, 2947, 3909, 5153, 5893, 6852, 7887, 304, 2084, 2957, 3709, 4541, 5590, 6809, 8085, 543, 1112, 2880, 4168, 4877, 5942, 6615, 8195, 654, 1112, 2986, 4138, 5040, 5962, 6439, 7826, 654, 2127, 2181, 3364, 4700, 5678, 7201, 8266, 225, 1684, 2833, 4113, 5088, 5962, 6972, 7957, 654, 1345, 2468, 4057, 4896, 5749, 6972, 8102, 518, 2127, 2659, 3550, 4359, 5677, 7047, 7865, 654, 1264, 2468, 4145, 4852, 5360, 7160, 8102, 228, 1623, 2341, 3692, 4888, 5890, 6889, 8126, 356, 1961, 2709, 3376, 4734, 6048, 7157, 7717, 731, 1732, 2856, 4098, 4852, 5993, 6431, 7890, 318, 1564, 2971, 3963, 4256, 5526, 6539, 7899, 840, 1112, 3123, 3429, 4734, 5556, 6376, 7263, 693, 2102, 2999, 3225, 4901, 5257, 6530, 7873, 1100, 1818, 2543, 3905, 4495, 6076, 7229, 7748, 840, 1842, 2198, 3952, 4601, 5216, 6225, 8110, 807, 1913, 2335, 3342, 4973, 5819, 6605, 7649, 545, 1688, 2687, 3225, 5053, 5991, 6449, 8211, 150, 1695, 2715, 3323, 4804, 6132, 6581, 8126, 940, 1974, 2444, 3398, 4482, 6148, 6584, 8191, 804, 2035, 2591, 3201, 4551, 6128, 7049, 8237, 804, 2079, 2960, 3240, 4287, 6205, 6515, 8083, 715, 1974, 2610, 3904, 5142, 6120, 6283, 8262, 448, 1695, 2803, 4154, 5167, 5613, 6883, 7846, 692, 1637, 3003, 3767, 5143, 6166, 6883, 7557, 314, 1564, 2205, 3646, 4734, 6016, 6391, 8149, 1029, 1349, 2415, 3509, 4896, 6004, 6224, 7790, 271, 1938, 2956, 3321, 4903, 5800, 6409, 8144, 104, 1349, 3112, 3403, 4855, 5482, 6889, 7790, 1025, 1499, 2218, 3229, 5012, 6026, 6574, 8126, 826, 1676, 2990, 4005, 5015, 5899, 6292, 8179, 887, 1919, 2503, 3233, 4212, 5661, 7001, 7559, 880, 1865, 3003, 3949, 4828, 5518, 6566, 7935, 313, 1212, 2455, 3559, 4604, 5696, 6554, 7859, 508, 1849, 2536, 3735, 4930, 5810, 6985, 7701, 508, 2094, 2721, 3877, 4649, 5701, 6457, 7508, 770, 1919, 2296, 3509, 4924, 5359, 6768, 7518, 235, 1469, 2245, 3358, 4886, 5557, 6635, 7743, 235, 2050, 2555, 3952, 4390, 5657, 6970, 8258, 235, 1469, 2561, 3421, 4772, 5658, 6658, 8218, 776, 1743, 2373, 3267, 4429, 5631, 6782, 8209, 678, 1974, 2470, 3777, 5143, 5729, 6269, 8188, 678, 2003, 2721, 3776, 4984, 6222, 6348, 7438, 951, 1369, 2892, 3777, 4337, 5315, 6651, 8034, 913, 2035, 3151, 3513, 4683, 6125, 6730, 7704, 692, 1897, 2274, 3361, 4902, 5624, 6426, 7593, 864, 1440, 2974, 3482, 4321, 5577, 6820, 8253, 459, 1681, 2580, 3420, 4784, 5941, 6892, 7284, 302, 1704, 2274, 3578, 4731, 5494, 6376, 7842, 819, 1609, 3002, 3622, 4338, 5200, 6580, 7904, 895, 1183, 2269, 3700, 4886, 5926, 6518, 8026, 508, 1494, 2385, 3486, 4471, 5886, 6735, 8145, 242, 1183, 2610, 3313, 4331, 5841, 6300, 7912, 100, 1270, 2748, 3313, 4331, 5771, 7210, 7790, 242, 1183, 2610, 4036, 4568, 6125, 6497, 7850, 271, 1183, 2385, 3694, 5010, 5562, 6697, 7739, 1005, 1183, 2963, 3700, 4992, 5666, 6474, 7584, 887, 1469, 3038, 3814, 4896, 5322, 6888, 7524, 150, 1183, 2304, 3256, 4222, 5818, 7020, 8144, 504, 2050, 2623, 3970, 4407, 5557, 6724, 7397, 1029, 1503, 3107, 3707, 4257, 5417, 6917, 7900, 887, 1447, 2869, 3153, 4254, 5362, 7003, 8192, 504, 1260, 2512, 3425, 4729, 6044, 6648, 7680, 643, 1447, 2492, 3391, 4783, 6179, 6404, 7743, 1081, 1548, 3085, 3756, 4781, 5978, 7114, 7650, 1025, 1865, 2543, 3901, 4288, 5811, 7237, 7716, 308, 1915, 2991, 3271, 5060, 6211, 7098, 8260, 308, 1915, 2730, 4093, 5085, 5978, 6809, 8066, 552, 1403, 3135, 4097, 4589, 5436, 7152, 7631, 390, 1876, 3006, 4011, 4993, 6129, 7090, 7764, 1097, 1869, 2582, 4171, 4782, 5340, 6589, 8267, 132, 1833, 2858, 3982, 5080, 5705, 7220, 7309, 132, 1585, 2791, 4171, 4630, 5514, 6677, 7707, 450, 1898, 2554, 3391, 4713, 5393, 7127, 7631, 915, 1468, 2880, 3803, 4867, 5413, 6515, 7476, 984, 1468, 3008, 3803, 4554, 5413, 7006, 8261, 935, 2028, 3144, 3803, 5079, 6182, 6786, 7876, 935, 1664, 3065, 4071, 5079, 6182, 6979, 7764, 4, 2 ]

[ 1, 76, 69, 30, 5, 51, 76, 45, 51, 52, 47, 5, 51, 17, 53, 5, 28, 14, 51, 5, 5, 3, 201, 2073, 3117, 3891, 4704, 6211, 7124, 7723, 488, 2073, 3117, 3367, 4583, 6081, 7124, 7766, 488, 1622, 3143, 4071, 4888, 6081, 7006, 8237, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 818, 1648, 2806, 4018, 4798, 5612, 6786, 7766, 956, 1869, 3135, 3990, 4583, 6085, 7077, 8260, 138, 1935, 2713, 3440, 4782, 5509, 7132, 8076, 271, 2050, 2299, 3567, 4816, 6113, 6609, 7727, 266, 1266, 2137, 3590, 4688, 5351, 6424, 7554, 737, 1655, 2128, 3623, 4311, 5398, 6595, 7371, 465, 1510, 2559, 4155, 4321, 5450, 6764, 7313, 552, 1421, 2176, 3951, 4940, 5641, 7012, 7396, 617, 2025, 2801, 3785, 4935, 5610, 6657, 7627, 488, 1280, 2792, 3188, 5104, 5901, 7132, 7876, 818, 1998, 2803, 3891, 4888, 6129, 7220, 8179, 935, 1998, 2991, 3891, 5080, 5661, 7006, 7485, 818, 2000, 2781, 4018, 4630, 6195, 7077, 7485, 1097, 1847, 2947, 3819, 4888, 5635, 7077, 8260, 1097, 2068, 3007, 3825, 4782, 5705, 7058, 7723, 873, 2098, 2863, 3656, 4793, 5810, 6284, 7894, 100, 2127, 2689, 3505, 5117, 5567, 7101, 8173, 541, 2088, 2340, 4124, 4918, 5910, 6602, 8124, 579, 2060, 2740, 4143, 5191, 5677, 6265, 7470, 473, 1833, 2254, 3430, 5048, 5841, 6442, 8093, 685, 1157, 2825, 3521, 4782, 5376, 6547, 8262, 781, 1834, 2188, 3424, 5001, 5960, 6466, 7921, 491, 2048, 2566, 3822, 5188, 5350, 6237, 7622, 495, 2048, 2787, 3562, 5026, 6154, 7083, 7886, 804, 1147, 2315, 3873, 4555, 5963, 6668, 8266, 818, 1684, 3021, 4011, 4430, 5824, 6890, 8185, 859, 1915, 2792, 3671, 5106, 5968, 7132, 8179, 859, 1791, 2746, 3732, 5159, 5771, 7201, 7664, 914, 2068, 2730, 3827, 4681, 5210, 6996, 7766, 555, 1620, 2991, 3990, 4888, 5767, 6786, 7806, 293, 1198, 2880, 3440, 4762, 5755, 7004, 7522, 256, 1791, 2542, 3726, 4638, 5730, 6576, 8079, 105, 2065, 2803, 4071, 4374, 6182, 7132, 8262, 105, 1304, 2924, 4103, 5135, 6137, 6605, 7876, 401, 1675, 3053, 3983, 5138, 6175, 7100, 8078, 448, 1171, 2196, 3960, 4613, 6201, 6901, 8026, 1101, 2048, 2464, 3900, 4205, 5280, 6525, 7888, 737, 1112, 2487, 3975, 4320, 5344, 7053, 7442, 462, 1834, 2751, 3323, 4687, 5417, 6923, 7852, 1004, 1550, 2309, 3329, 4392, 5283, 6528, 7479, 807, 1550, 2836, 3970, 4539, 5935, 6474, 7873, 356, 1782, 2429, 3764, 4691, 5557, 6682, 7659, 684, 1783, 3021, 4146, 4586, 5832, 7048, 7887, 818, 2000, 3021, 4018, 5058, 6085, 6752, 7677, 555, 1876, 3128, 4145, 4890, 5378, 6515, 7876, 555, 1623, 2806, 3886, 4822, 5767, 7120, 7570, 452, 1736, 2156, 3827, 4867, 5276, 6773, 7799, 489, 1684, 2167, 3962, 4775, 6162, 6565, 7303, 153, 1304, 3007, 3188, 5083, 5436, 6302, 8252, 952, 1171, 2598, 3303, 4322, 5697, 6784, 8128, 1066, 1397, 2163, 3487, 4729, 5843, 6795, 8190, 875, 1674, 2263, 3456, 4703, 5632, 7188, 7820, 462, 1682, 2540, 3835, 5114, 5223, 6306, 7849, 786, 2019, 2173, 3549, 4723, 6086, 6413, 7987, 895, 2070, 2793, 3549, 5188, 5373, 6343, 7554, 160, 1708, 2203, 4073, 4931, 5952, 6761, 8167, 271, 1717, 3080, 3537, 5036, 6028, 6536, 7273, 271, 1682, 2678, 3352, 5183, 5752, 6603, 7677, 223, 1682, 3033, 3420, 4203, 5749, 6415, 8227, 223, 2033, 3033, 3352, 5193, 6181, 6764, 7508, 650, 1721, 2241, 3793, 4622, 6154, 6298, 7682, 211, 1930, 2661, 3393, 4592, 5684, 6752, 7658, 211, 1700, 2661, 3983, 4849, 5908, 6584, 7767, 304, 1770, 3135, 4145, 4651, 5523, 6892, 7976, 702, 1171, 2374, 3538, 4773, 6167, 7203, 8173, 875, 1557, 2900, 3924, 4689, 5375, 7238, 8140, 604, 1826, 2348, 3356, 4364, 6156, 6263, 7873, 774, 1397, 2953, 3356, 4462, 6101, 7156, 7551, 1041, 1283, 2260, 3394, 4466, 5768, 7039, 8190, 662, 1201, 2188, 3623, 4356, 6197, 6913, 7875, 913, 1184, 2751, 3390, 4709, 5575, 6775, 7680, 103, 1309, 2238, 3152, 5040, 6086, 6680, 7386, 1056, 1653, 2839, 3595, 4833, 5482, 6929, 7393, 427, 1653, 2839, 3558, 4586, 5345, 7024, 7770, 859, 1653, 2729, 3798, 4856, 5438, 6786, 8099, 935, 1876, 2959, 3206, 4555, 5687, 6774, 7591, 935, 2065, 2391, 4152, 4856, 5705, 6918, 7764, 935, 2065, 3021, 4041, 4828, 6129, 7207, 8185, 935, 2111, 2746, 3893, 5060, 6131, 6588, 8223, 103, 2127, 2946, 3206, 5044, 5390, 6830, 7930, 105, 1851, 2659, 3595, 4622, 5650, 6604, 7878, 105, 1876, 2761, 4145, 5075, 5962, 6589, 7476, 419, 1345, 3062, 3595, 5193, 5548, 7152, 7717, 915, 1623, 3021, 3595, 4704, 6175, 6515, 8237, 488, 2017, 2914, 3893, 4704, 6139, 6794, 8196, 860, 2017, 2806, 3825, 4704, 6139, 7124, 8223, 142, 1528, 2806, 3825, 4704, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 53, 20, 63, 5, 28, 77, 73, 66, 16, 41, 16, 52, 5, 31, 14, 54, 5, 20, 52, 5, 31, 16, 5, 53, 16, 30, 11, 54, 16, 5, 62, 39, 54, 66, 44, 55, 78, 5, 44, 54, 5, 31, 16, 5, 76, 36, 52, 30, 5, 5, 3, 201, 1528, 2781, 4174, 4704, 5901, 6709, 8147, 818, 1804, 2781, 4018, 4704, 5705, 7077, 8147, 767, 1773, 2924, 4035, 4912, 5590, 6988, 8267, 955, 1227, 2793, 3983, 4782, 5883, 6515, 8185, 955, 2001, 2582, 3540, 4966, 5705, 7010, 7421, 1033, 1867, 2732, 3917, 4282, 5539, 6891, 8085, 299, 1447, 2680, 3383, 4422, 5829, 7072, 8065, 723, 1469, 2224, 3456, 4195, 5633, 7045, 8129, 608, 1389, 2165, 3387, 4612, 5589, 6252, 7815, 314, 1900, 3040, 3246, 4327, 6135, 6567, 7457, 736, 1296, 2861, 3557, 4678, 5884, 6896, 7442, 943, 1900, 2638, 3600, 4251, 5717, 6917, 8129, 360, 1554, 2725, 3387, 4346, 6158, 6224, 7977, 249, 1673, 2198, 3557, 4946, 6118, 6358, 7994, 261, 1823, 3085, 3450, 4907, 5957, 6309, 7785, 723, 1848, 2911, 3842, 5130, 5216, 6631, 8229, 736, 1167, 3023, 3752, 4997, 5657, 6689, 7903, 1081, 1469, 2279, 3956, 4634, 5425, 6903, 8026, 1099, 1897, 2947, 3685, 4954, 5968, 6630, 7768, 405, 1897, 3008, 3685, 4713, 5883, 6988, 7887, 288, 1945, 2493, 4093, 5098, 5705, 6852, 7591, 1056, 1675, 2996, 3803, 5159, 6146, 6408, 7895, 308, 1845, 2991, 3885, 4888, 5241, 6408, 8195, 684, 1175, 2803, 3645, 4551, 5901, 6588, 7720, 610, 1116, 2746, 3710, 4762, 6146, 7095, 7602, 582, 1732, 2381, 3818, 4428, 5637, 6849, 7743, 582, 1881, 2701, 3671, 5160, 5719, 7224, 8073, 582, 2009, 2543, 4138, 4538, 5549, 6592, 8070, 884, 1708, 2161, 3792, 4205, 5802, 6478, 7657, 807, 2033, 2421, 3970, 4205, 6156, 6611, 7759, 487, 1302, 2419, 3764, 4993, 5433, 6267, 7973, 363, 1732, 2890, 3764, 4522, 5344, 6777, 8129, 271, 1164, 3020, 3533, 4664, 5640, 6724, 7577, 692, 1266, 2870, 3324, 4675, 5775, 6936, 8218, 1101, 1252, 2940, 3962, 4274, 5684, 6622, 8030, 653, 1543, 2777, 4162, 5032, 5643, 6809, 7675, 386, 1141, 2387, 3254, 4623, 5863, 7142, 8143, 807, 1537, 3020, 3695, 5023, 5975, 6884, 7873, 1023, 2059, 2292, 3720, 4626, 5780, 6923, 8075, 91, 1820, 2775, 3822, 4291, 5778, 7087, 7831, 373, 1373, 2709, 3909, 5080, 5653, 6540, 7750, 886, 1510, 2422, 3680, 4825, 6047, 6821, 7777, 784, 1886, 2309, 3571, 4602, 5976, 6438, 8077, 266, 2059, 2667, 3305, 4516, 5972, 6648, 7415, 150, 1317, 2678, 3960, 4767, 5801, 6354, 7814, 643, 1582, 3085, 3952, 4857, 5563, 6986, 7544, 645, 1318, 2613, 3890, 4213, 5764, 6765, 8129, 256, 1649, 2975, 3803, 4611, 5673, 6935, 7959, 256, 1525, 3053, 4153, 4549, 5413, 7184, 8080, 1015, 1596, 3007, 3649, 5194, 5963, 6830, 8250, 715, 1386, 3128, 3364, 4225, 5749, 6985, 7720, 955, 1675, 3110, 3678, 4969, 5923, 7217, 7438, 1033, 1913, 3108, 3176, 5053, 5746, 7157, 8079, 271, 1542, 3056, 3856, 4755, 5858, 6234, 7469, 249, 1469, 2911, 4100, 4213, 5899, 7135, 7527, 386, 1205, 3014, 4100, 4674, 6125, 6400, 7721, 386, 1469, 3009, 3829, 4818, 6096, 7182, 7944, 1080, 1469, 3073, 4034, 4581, 5716, 6680, 7973, 1024, 1469, 3146, 3477, 4492, 5313, 6257, 7726, 547, 1503, 2353, 3865, 4965, 5775, 6969, 7886, 547, 1503, 2785, 4047, 4965, 5570, 6746, 7643, 1047, 2067, 2137, 3713, 5052, 5924, 7241, 7920, 678, 2035, 2991, 3376, 4529, 5850, 6967, 8070, 537, 1777, 2137, 3916, 5129, 5481, 7119, 7863, 504, 1786, 2869, 3987, 4708, 6012, 6870, 7863, 895, 1566, 2497, 4137, 4431, 5738, 6354, 7868, 266, 2059, 3036, 3585, 5092, 5318, 7192, 7576, 737, 1402, 2188, 3536, 4828, 6052, 6846, 7900, 896, 1826, 2490, 3639, 4804, 5658, 6678, 7939, 884, 1630, 2748, 3421, 4723, 6220, 7198, 8065, 271, 1283, 2492, 3329, 4942, 5444, 6619, 8221, 271, 1858, 2492, 3949, 5098, 5325, 6240, 7810, 895, 1510, 2975, 4102, 4691, 6201, 6573, 7716, 314, 1865, 2635, 3455, 4439, 5323, 7086, 7426, 249, 1838, 2234, 4158, 4364, 5658, 7115, 7815, 1029, 1674, 2459, 3704, 4653, 5773, 6524, 7442, 784, 1838, 2733, 3915, 4649, 5361, 6537, 8158, 736, 1630, 3078, 3567, 4873, 5927, 6404, 8149, 917, 2009, 2822, 3796, 4672, 5576, 7131, 7912, 386, 1179, 2690, 3793, 5193, 6203, 7131, 7861, 235, 1302, 2749, 4078, 5193, 5671, 6244, 7990, 386, 1693, 2189, 4128, 4389, 5313, 6467, 7770, 271, 1950, 3090, 3456, 4599, 6065, 6850, 7962, 150, 2035, 2247, 4105, 4472, 5847, 6482, 7527, 386, 1693, 2571, 3313, 4734, 5653, 6304, 7409, 643, 1538, 2764, 3313, 5181, 5850, 6945, 7808, 938, 1180, 2869, 3500, 4186, 6030, 7022, 7706, 938, 1469, 2937, 3313, 4556, 5881, 6623, 7787, 1009, 1469, 2731, 4130, 5161, 5540, 6936, 7519, 938, 1469, 2937, 3313, 4256, 5881, 6424, 7903, 1009, 1469, 2171, 4043, 4664, 5662, 6537, 7721, 938, 1183, 3088, 3254, 5141, 6034, 6456, 7636, 684, 1955, 2152, 4125, 4373, 6179, 7103, 8078, 959, 1305, 2554, 3176, 5058, 5543, 7103, 7992, 448, 2068, 3112, 3468, 4822, 5323, 6633, 7384, 864, 1199, 3005, 3457, 4882, 5227, 6514, 8218, 556, 1385, 2497, 4138, 4373, 6162, 6615, 8160, 840, 1757, 2907, 4147, 5003, 5205, 6730, 7689, 1024, 1763, 2690, 3325, 5003, 6118, 6346, 7250, 401, 1721, 2946, 3819, 4826, 6063, 6302, 7887, 335, 1777, 2946, 3929, 4349, 6063, 7184, 7412, 948, 1234, 2515, 4162, 4291, 5784, 6884, 7778, 731, 1778, 2207, 4004, 4903, 5960, 6243, 7259, 223, 1414, 2655, 4006, 4337, 5769, 6681, 7311, 574, 1199, 3070, 3237, 4983, 5321, 7020, 7287, 1080, 1119, 2764, 4087, 4502, 5653, 6456, 7916, 662, 2066, 2358, 3500, 4709, 5822, 7090, 8036, 401, 1496, 2495, 3662, 4697, 5866, 7078, 7291, 804, 1331, 3060, 3384, 4276, 6129, 7111, 7641, 804, 2000, 2783, 4115, 5020, 5883, 7084, 7421, 390, 2079, 2730, 3982, 5165, 6128, 6613, 8195, 390, 1791, 3006, 4166, 4888, 6131, 6979, 8185, 1056, 2125, 2838, 4071, 5166, 5832, 6774, 7949, 952, 1910, 2309, 3277, 5080, 5678, 6953, 8085, 993, 1129, 2435, 3845, 4308, 5474, 6982, 7555, 154, 1915, 2725, 3448, 4604, 6218, 6875, 8235, 123, 1740, 2240, 3394, 4545, 5879, 6628, 7442, 736, 1199, 2857, 3279, 5064, 6184, 6433, 7900, 1067, 1199, 2191, 3249, 4755, 5519, 6348, 8232, 643, 1812, 2892, 4146, 4887, 5295, 6792, 7604, 504, 2050, 2541, 4158, 4482, 5622, 6872, 7652, 643, 1325, 2727, 3836, 4545, 6208, 7179, 8239, 504, 1818, 2860, 3685, 4678, 5227, 6361, 7740, 386, 2035, 2459, 3406, 4955, 5811, 6298, 7611, 1029, 1199, 2445, 3918, 4324, 6024, 7152, 7919, 386, 1318, 2892, 3668, 5198, 5765, 6850, 7898, 1025, 1562, 3092, 3990, 5052, 6030, 6668, 8238, 150, 1548, 2553, 3886, 5083, 6063, 6967, 7779, 784, 1318, 2707, 3399, 5044, 6084, 6403, 7607, 271, 1658, 2154, 3624, 4369, 6002, 7078, 7807, 547, 1302, 2391, 3700, 4531, 5876, 6970, 7764, 333, 1199, 2239, 3152, 4482, 5670, 6254, 8193, 643, 1849, 2690, 4138, 4185, 5295, 6548, 8069, 684, 1998, 2860, 3619, 5061, 5974, 6467, 7753, 956, 2068, 3110, 3982, 5038, 5630, 6630, 8245, 1099, 2000, 3007, 3990, 4888, 5901, 6786, 7485, 488, 1847, 2730, 4150, 4704, 5661, 6988, 8195, 488, 2017, 3095, 4071, 5165, 5968, 7239, 8267, 818, 2068, 3095, 3893, 5038, 6129, 7239, 7720, 818, 1528, 3117, 3645, 5080, 5630, 7124, 8083, 818, 1998, 2914, 3516, 4912, 6103, 7201, 8196, 818, 1528, 2164, 3825, 4624, 5705, 7124, 8147, 818, 1622, 2991, 3825, 4888, 5705, 7124, 7766, 818, 1528, 2781, 3886, 5038, 6129, 7077, 8223, 811, 2025, 2678, 3596, 4967, 5838, 6270, 8012, 160, 2065, 2258, 4133, 5104, 5828, 7004, 7865, 793, 1349, 2989, 3403, 4948, 5810, 7145, 7885, 884, 1494, 3112, 3757, 4539, 5935, 6880, 7885, 807, 1753, 2492, 3329, 5163, 5440, 6358, 7873, 807, 2033, 3116, 3970, 4949, 5935, 6470, 7873, 150, 1782, 2678, 3543, 4604, 6116, 6837, 8239, 1025, 1948, 2923, 3977, 4242, 5224, 6225, 7271, 643, 1808, 3050, 3169, 4541, 5749, 6225, 7726, 887, 1808, 2751, 3560, 4969, 5366, 6458, 7468, 1090, 1773, 2688, 3162, 4334, 5279, 7017, 7557, 663, 1867, 2492, 4155, 4426, 5761, 6566, 8107, 1056, 2024, 3061, 3645, 4551, 6007, 7237, 8076, 510, 1945, 3007, 4011, 5183, 6085, 7120, 7870, 952, 1695, 2886, 3352, 4622, 6182, 6349, 8245, 887, 1460, 2502, 3732, 5036, 5810, 7222, 7795, 545, 1685, 2573, 3962, 4918, 5345, 6592, 7473, 582, 1485, 3049, 3268, 4402, 5585, 6978, 7404, 826, 1550, 2751, 3920, 5036, 5648, 6970, 7966, 443, 1550, 2751, 3540, 5114, 5658, 7009, 7559, 150, 1550, 2974, 3892, 4321, 5991, 6765, 7445, 610, 1692, 2996, 3540, 4318, 5325, 7004, 7862, 1025, 1499, 2783, 4150, 5138, 5953, 6302, 7631, 1025, 1660, 2534, 3838, 4536, 5832, 6771, 7948, 1025, 1494, 2586, 3410, 5145, 5687, 6589, 8205, 1025, 1682, 2429, 3931, 4828, 6222, 6684, 7807, 1090, 2033, 2421, 4082, 5153, 5558, 6260, 7856, 150, 1255, 2746, 3886, 5014, 6051, 7218, 8236, 610, 1302, 3053, 3292, 4374, 5363, 6393, 7570, 1025, 1867, 2771, 3522, 5120, 5220, 6771, 7870, 610, 1600, 2924, 3662, 4813, 6014, 6810, 7528, 756, 1581, 2516, 3917, 4991, 5210, 6871, 7508, 568, 1350, 3029, 4122, 4808, 5886, 6410, 7355, 576, 2125, 3039, 3261, 4298, 5800, 6519, 7321, 825, 1633, 2751, 3785, 5096, 5529, 7012, 7291, 1005, 2107, 2987, 4055, 5193, 5742, 6614, 7841, 569, 1510, 2261, 3268, 5052, 5971, 6873, 7918, 840, 1510, 2273, 4037, 4435, 6002, 6826, 7572, 299, 1459, 2655, 4087, 4934, 5304, 6550, 7930, 104, 1993, 2436, 3830, 4626, 6217, 7094, 7558, 1090, 1919, 2661, 3819, 4292, 5245, 6930, 7831, 1025, 1146, 2638, 4145, 4635, 5765, 7049, 7279, 610, 1809, 2924, 3410, 4896, 6084, 6899, 8107, 610, 1238, 2980, 3410, 5169, 6080, 7095, 8266, 955, 1924, 2924, 3649, 4782, 6129, 7058, 7806, 955, 1915, 2946, 3909, 4801, 5612, 6589, 7806, 1029, 1850, 2860, 3656, 4533, 5532, 6793, 7309, 536, 1318, 3092, 3877, 4525, 5410, 7158, 8031, 150, 1318, 2691, 3598, 4612, 5204, 7096, 7777, 504, 1469, 2799, 3887, 4954, 5984, 6609, 8119, 1025, 1873, 2363, 3256, 4919, 5838, 6812, 7481, 643, 1104, 2783, 3788, 4431, 6003, 7149, 7474, 1090, 1104, 2783, 3206, 4485, 5463, 6668, 7664, 304, 1721, 2899, 3645, 4343, 5694, 6515, 8260, 678, 1978, 2996, 3671, 5159, 6025, 6668, 7706, 678, 1978, 2134, 3931, 5159, 5968, 6695, 7764, 887, 1717, 2371, 3945, 5165, 5650, 7095, 8237, 887, 1897, 2924, 4041, 5195, 6204, 6515, 7887, 104, 1660, 2307, 3762, 4924, 6175, 6633, 8064, 271, 1290, 3123, 3908, 5044, 6123, 7047, 8040, 1025, 1251, 2149, 3610, 4453, 5840, 6540, 8179, 826, 1873, 2977, 3858, 4440, 5850, 6333, 7574, 778, 1356, 2993, 3560, 4550, 5350, 7234, 7411, 1016, 2036, 2945, 4029, 4751, 5978, 6270, 8069, 1011, 2113, 2483, 3873, 4282, 5352, 6393, 7895, 1008, 1685, 2258, 4130, 4253, 5379, 6677, 7810, 864, 1512, 2381, 3781, 4365, 5818, 6247, 8054, 547, 1494, 2432, 4086, 4374, 6084, 6892, 8167, 1011, 2003, 2939, 3857, 4548, 6000, 6711, 7263, 913, 1919, 2220, 3857, 4429, 6084, 6378, 7458, 1022, 1685, 2532, 4146, 4337, 5685, 7111, 8184, 235, 1937, 2555, 3836, 4387, 5565, 6890, 8153, 265, 1685, 2291, 4164, 4949, 6131, 6874, 8205, 776, 1937, 2740, 4101, 4327, 5569, 7149, 8046, 938, 1913, 2794, 4150, 4369, 5918, 6260, 7835, 424, 1146, 2515, 3681, 4333, 5811, 6891, 7962, 776, 1244, 2860, 4024, 5124, 5590, 7014, 7729, 1011, 1582, 2918, 3655, 4816, 5947, 7221, 7904, 1011, 2070, 2266, 3964, 5044, 5811, 6337, 7594, 678, 1769, 2998, 3751, 4845, 6131, 6443, 8012, 981, 1271, 2446, 3427, 4834, 6042, 7162, 7842, 678, 2003, 2541, 3556, 4797, 6156, 7207, 8207, 678, 1992, 2695, 4039, 5145, 5900, 6908, 7891, 678, 1992, 3150, 3909, 5129, 5868, 6258, 8172, 951, 1350, 2661, 3922, 4287, 6196, 7230, 7593, 1056, 1989, 2536, 3901, 4981, 6195, 6719, 7778, 308, 1455, 2975, 4145, 5145, 5901, 7230, 7764, 804, 1218, 2957, 3826, 5038, 6195, 6972, 7485, 779, 2041, 2254, 4071, 4611, 5761, 7132, 7895, 761, 1633, 2429, 3754, 4582, 5752, 6573, 7672, 1036, 1510, 2959, 4009, 4773, 5222, 6917, 7515, 862, 1496, 2346, 3418, 4228, 6002, 6474, 8030, 113, 1507, 2365, 3988, 4904, 5538, 6547, 7986, 803, 1510, 2470, 3482, 4706, 5745, 6614, 7867, 970, 1510, 3112, 3433, 4773, 5810, 7241, 8132, 1097, 1750, 2582, 3886, 4867, 5705, 7058, 7831, 956, 2111, 3006, 3982, 4366, 5963, 6589, 7782, 945, 1528, 3095, 4071, 5083, 6205, 6996, 7949, 201, 1528, 2914, 3645, 4980, 6139, 7077, 7806, 818, 2017, 3110, 3893, 4624, 5241, 7239, 8223, 488, 1528, 3065, 3825, 4624, 6085, 6794, 8267, 818, 1648, 2914, 3893, 4782, 5635, 7201, 7766, 4, 2 ]

[ 1, 31, 39, 5, 76, 35, 5, 20, 52, 5, 64, 45, 55, 44, 55, 5, 16, 42, 33, 54, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1622, 3065, 3825, 4624, 5635, 6794, 7766, 488, 1528, 3065, 3825, 4798, 6186, 6794, 7723, 510, 1648, 3065, 3987, 4822, 5612, 7006, 7723, 104, 1173, 2542, 3891, 5084, 5890, 6680, 8069, 1080, 1171, 2750, 4047, 4717, 5614, 6674, 8190, 668, 1732, 2725, 3259, 4580, 5432, 6444, 7931, 1036, 2058, 2543, 3410, 4686, 5418, 6485, 7827, 938, 1561, 2795, 3314, 4664, 5890, 6901, 8073, 913, 1776, 3091, 4064, 4346, 5280, 7084, 8036, 938, 1509, 2222, 3704, 5088, 5225, 6402, 7902, 1011, 1682, 2639, 4162, 4755, 5532, 6729, 7772, 386, 1318, 2697, 3943, 4987, 5485, 6952, 7908, 864, 1897, 2456, 3498, 4291, 6130, 6870, 7825, 1029, 1175, 2903, 3187, 4942, 5558, 6470, 7531, 266, 1838, 2198, 3843, 4953, 5584, 6506, 8188, 150, 1284, 2346, 3315, 4550, 6114, 7005, 7812, 386, 1641, 2923, 3957, 4711, 5650, 6806, 7831, 1029, 1499, 2601, 4005, 4805, 5210, 6620, 8061, 150, 1512, 2687, 4022, 4609, 5469, 7207, 8145, 1029, 2052, 2905, 3675, 4301, 5568, 6957, 8210, 840, 2052, 2130, 3997, 4288, 6104, 6494, 7704, 1029, 1559, 2766, 4015, 4534, 5694, 6775, 7927, 895, 2094, 3074, 3915, 4196, 5902, 6273, 7297, 888, 1130, 2321, 3573, 4371, 5290, 6741, 8190, 730, 1674, 3085, 3872, 5053, 5409, 6700, 8009, 333, 1674, 2239, 3729, 4507, 5722, 7072, 7736, 736, 1106, 2966, 4022, 4315, 5205, 6592, 7604, 1029, 1798, 2198, 3420, 4911, 5505, 6403, 7624, 1067, 1543, 3103, 3780, 4483, 5722, 7026, 8271, 386, 1180, 2712, 3333, 4550, 6104, 6896, 7873, 339, 2066, 2395, 3804, 4570, 5768, 6400, 8251, 938, 1926, 2146, 3433, 4790, 5807, 6915, 7962, 692, 1926, 2785, 3429, 4639, 5741, 6574, 7867, 970, 1926, 2633, 4081, 5081, 5440, 7072, 7805, 692, 2050, 2759, 4081, 4388, 6080, 6540, 7293, 692, 1469, 2675, 4081, 4761, 5993, 6512, 8266, 970, 2050, 2785, 4149, 5141, 6040, 6396, 7920, 1081, 1457, 3149, 3795, 5177, 5607, 6894, 7383, 304, 1913, 2816, 4174, 4468, 6131, 6980, 7732, 756, 1635, 2970, 3550, 4792, 5610, 7086, 7624, 1014, 1585, 2728, 3573, 4650, 5845, 6746, 7435, 699, 1736, 2595, 3994, 4555, 5811, 6772, 7965, 654, 1108, 2454, 3891, 4996, 5840, 6344, 8236, 654, 2002, 2370, 3651, 4398, 5548, 7103, 7715, 518, 1596, 2833, 4026, 5143, 5514, 6840, 7720, 518, 1396, 2554, 3994, 4412, 6216, 6402, 7677, 127, 2013, 2659, 3704, 5083, 5514, 7129, 7949, 240, 1304, 2554, 4006, 5159, 5514, 7098, 7664, 240, 1597, 3150, 3595, 4681, 5385, 6584, 8261, 240, 2002, 2970, 4113, 4681, 5514, 6604, 7948, 518, 1596, 2554, 3827, 5007, 5514, 6604, 7727, 518, 1585, 2554, 3891, 5135, 5586, 7069, 7303, 617, 1705, 3040, 3540, 4225, 5436, 6668, 7671, 138, 1794, 2282, 3592, 4900, 5433, 6292, 7801, 1080, 1174, 2725, 3905, 4495, 5835, 6708, 7586, 559, 1776, 2872, 3843, 4755, 5519, 6532, 7961, 545, 1234, 2309, 3888, 4273, 5224, 6780, 7877, 271, 1205, 2868, 3669, 4755, 5714, 6224, 7815, 767, 1223, 2165, 3709, 4426, 6070, 6525, 7604, 335, 1886, 2581, 3488, 4556, 6086, 7104, 7902, 716, 1120, 2678, 4096, 4319, 6067, 6283, 7918, 504, 1685, 3037, 3233, 4955, 5778, 6458, 8036, 386, 2008, 3104, 3756, 4727, 5573, 6240, 8044, 845, 1829, 2439, 4089, 4457, 5663, 7131, 7483, 582, 1630, 2282, 3273, 4321, 5443, 6484, 7862, 271, 1708, 2282, 4015, 4539, 6033, 6813, 8097, 807, 2033, 2271, 3970, 4364, 5843, 6335, 7962, 150, 1393, 2346, 3475, 4364, 5344, 6646, 8172, 504, 1238, 2678, 3764, 4845, 5557, 6719, 7992, 1025, 1238, 2440, 3842, 4985, 6218, 6840, 7481, 1025, 1296, 2661, 4096, 4455, 6171, 6756, 7437, 1029, 1773, 3033, 3679, 4942, 5368, 6393, 7571, 1029, 1850, 2678, 3410, 4358, 5899, 6358, 7467, 936, 2002, 2818, 3298, 4942, 5512, 7035, 7885, 936, 1550, 2920, 3937, 5154, 5907, 7127, 8189, 993, 2061, 2708, 4072, 5086, 5839, 6611, 8259, 487, 1682, 2156, 3635, 4664, 5771, 7154, 7927, 1057, 2008, 3029, 3372, 5054, 5344, 6708, 8061, 887, 1397, 2336, 3695, 5124, 5810, 6525, 8061, 663, 1350, 2250, 3190, 5122, 5978, 6302, 8117, 1056, 1141, 2945, 3540, 4764, 5390, 7095, 7533, 288, 1138, 2582, 3513, 5009, 5210, 7239, 7557, 804, 1998, 3021, 3710, 4980, 6205, 6988, 7641, 103, 1910, 2369, 3776, 4829, 5899, 6566, 7913, 487, 1233, 2886, 3581, 4878, 6107, 6340, 7570, 443, 1397, 2250, 3547, 4298, 5441, 7063, 8071, 807, 1395, 2785, 3485, 4539, 6119, 6414, 7880, 930, 1489, 2787, 3509, 4358, 6056, 6856, 8098, 666, 1486, 2327, 3161, 4448, 5345, 6799, 7648, 1040, 1397, 2472, 3225, 4455, 5640, 6611, 7534, 668, 1732, 2695, 3690, 4459, 6107, 6885, 7669, 404, 1536, 2166, 4137, 4571, 5569, 6932, 7676, 113, 1472, 2615, 3295, 4529, 6107, 6828, 7480, 465, 1623, 2316, 3261, 4456, 5950, 6296, 7785, 880, 1110, 2149, 3394, 4855, 6158, 6442, 7393, 1057, 1489, 2156, 4137, 4931, 5999, 6687, 7438, 1084, 1509, 3149, 4007, 4208, 5606, 6627, 7296, 1033, 1831, 2503, 4094, 4852, 5573, 6646, 8245, 104, 1773, 2492, 3901, 5117, 5360, 7055, 7492, 1025, 1620, 3033, 3717, 4966, 5713, 6611, 8214, 1025, 1865, 2203, 3915, 4385, 5438, 6430, 7641, 1025, 1867, 2750, 3233, 4447, 5978, 6858, 8093, 1025, 1296, 2868, 3973, 4573, 6068, 6850, 8126, 643, 1773, 3033, 3932, 5098, 5550, 6579, 7907, 401, 1635, 2586, 3740, 4641, 5761, 6668, 8206, 1081, 1499, 3053, 3233, 4888, 5613, 6402, 7570, 288, 1675, 3101, 4027, 4980, 6205, 6393, 7949, 288, 1499, 2775, 3918, 4896, 5832, 7098, 7876, 956, 1998, 3043, 3982, 5166, 5661, 7239, 7723, 915, 1998, 2730, 4174, 5061, 5883, 6709, 8066, 488, 1998, 2781, 3909, 4704, 5832, 6709, 7723, 488, 2017, 2914, 3893, 4366, 6139, 7239, 7421, 488, 1528, 2806, 3893, 4822, 6139, 7124, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 31, 33, 63, 5, 76, 69, 30, 5, 28, 48, 5, 14, 54, 5, 23, 35, 5, 17, 75, 5, 51, 76, 26, 16, 66, 5, 16, 54, 30, 5, 63, 33, 64, 66, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 6211, 7226, 8147, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 915, 1648, 2164, 4145, 4798, 5635, 6996, 8196, 617, 1597, 2806, 4125, 5160, 5436, 6584, 7838, 840, 1283, 2779, 3906, 4762, 6109, 6618, 7250, 739, 2115, 2487, 3520, 4314, 5526, 6437, 8139, 632, 1332, 2353, 4081, 4535, 6178, 6425, 7502, 668, 1679, 2361, 3533, 4865, 5375, 6668, 7796, 494, 1315, 2239, 3940, 4766, 5372, 7090, 7496, 1064, 1679, 2263, 4168, 4329, 6156, 6549, 7587, 1030, 2011, 3063, 3755, 4485, 5973, 7118, 7804, 335, 1415, 2222, 3380, 4675, 6041, 6831, 7559, 731, 1463, 3080, 3513, 5042, 6181, 7132, 7783, 767, 1545, 3080, 3472, 4930, 5204, 7205, 7574, 335, 1244, 2429, 3440, 4691, 6080, 7017, 7677, 391, 1275, 2429, 3390, 4757, 5836, 7220, 7617, 223, 2102, 2436, 3499, 4365, 5908, 6901, 7959, 643, 1509, 2750, 3349, 4536, 6115, 7242, 8066, 620, 1171, 2552, 3488, 4376, 5341, 6605, 7579, 862, 1154, 2182, 3966, 4501, 6061, 6978, 7427, 774, 2062, 2697, 3635, 4644, 5490, 6544, 7686, 1041, 2091, 2448, 3997, 4902, 5223, 6674, 7363, 161, 1284, 2175, 3963, 4467, 6135, 6310, 7980, 774, 1521, 2175, 3353, 4836, 5863, 7174, 7395, 1041, 1912, 3080, 3759, 4620, 5536, 7066, 7955, 938, 1679, 2293, 3669, 4334, 6135, 6457, 7801, 938, 1589, 3080, 4004, 4764, 5965, 7016, 8152, 1011, 1982, 2137, 3502, 4728, 5783, 6851, 7815, 955, 1303, 2567, 3411, 4589, 5768, 6935, 8209, 942, 1499, 2868, 3710, 4181, 5501, 7114, 7519, 373, 1682, 2493, 4085, 4447, 6001, 6646, 8179, 150, 2035, 2554, 3559, 4215, 5834, 6771, 7408, 643, 2061, 2972, 3560, 4812, 5684, 6687, 7822, 1009, 1897, 2137, 3721, 4720, 6145, 6587, 8037, 1009, 1400, 2137, 3770, 4369, 5900, 6282, 8268, 234, 1655, 2870, 3596, 5017, 5463, 6315, 7740, 1101, 1510, 2785, 3570, 4596, 5875, 6481, 7611, 959, 1758, 2642, 3973, 4784, 5386, 6655, 8266, 512, 1797, 2959, 3615, 4583, 5968, 6771, 7397, 804, 1499, 2924, 4115, 5061, 5883, 7132, 7876, 804, 2125, 2991, 3226, 5166, 5340, 7058, 8179, 804, 1675, 3064, 3710, 5104, 5340, 6996, 7641, 512, 1945, 2960, 3516, 5159, 5340, 6786, 7876, 512, 1750, 2991, 4174, 5080, 6051, 6515, 8237, 757, 1601, 3150, 3917, 4225, 5694, 6486, 7918, 948, 1637, 2401, 3916, 4762, 6156, 7164, 7715, 582, 1363, 2794, 3316, 4306, 5960, 6439, 7962, 987, 1782, 2678, 4010, 4966, 5384, 6732, 7777, 613, 1167, 2661, 3515, 4671, 5765, 6840, 8149, 1059, 1289, 3007, 3446, 4539, 5393, 6413, 7977, 952, 2081, 2946, 4006, 5125, 5565, 6614, 8240, 986, 1563, 2946, 3866, 5169, 5413, 6328, 7756, 271, 1164, 2282, 3478, 4539, 5314, 6813, 8254, 1101, 1284, 2432, 3945, 4755, 5212, 7005, 8069, 840, 1695, 2167, 4106, 5198, 5297, 7130, 7538, 725, 2102, 3097, 3394, 5164, 6190, 6401, 7974, 692, 1296, 2239, 3468, 4289, 6135, 7115, 7442, 150, 1496, 2940, 3648, 4714, 5400, 6775, 7288, 304, 1777, 2771, 3994, 4533, 5589, 7052, 7557, 970, 1773, 3098, 3427, 4592, 5413, 7019, 7631, 150, 1227, 2429, 3645, 4215, 5641, 6918, 8000, 1025, 1797, 2484, 3917, 4365, 5730, 6234, 8213, 363, 1346, 2635, 3822, 4539, 6169, 6798, 8139, 910, 1393, 2693, 3652, 4364, 5871, 6530, 8156, 535, 2115, 3029, 3479, 4689, 5570, 6692, 7445, 535, 2115, 2282, 3223, 4364, 6119, 6682, 7561, 1101, 1772, 3091, 3635, 4509, 5474, 6478, 7913, 581, 1393, 3040, 3366, 4364, 5940, 6742, 7362, 249, 1183, 3029, 3835, 4246, 5939, 6902, 8062, 993, 1348, 2296, 3509, 5084, 5791, 6731, 7853, 725, 1183, 2700, 3779, 5158, 5475, 7051, 7853, 840, 1503, 2294, 3674, 4609, 5316, 6583, 8218, 271, 1818, 2541, 3600, 4321, 5315, 6509, 7984, 643, 1849, 2776, 3685, 5014, 5235, 6603, 8031, 150, 2035, 3023, 3600, 4749, 6003, 6755, 8108, 1029, 1950, 2966, 4103, 4709, 6123, 6521, 8211, 386, 1105, 2915, 3600, 4483, 5991, 7155, 7260, 1067, 2028, 2966, 3238, 4184, 6034, 7148, 8043, 643, 1594, 2137, 3600, 4416, 6156, 6735, 7768, 150, 1389, 2592, 3573, 4510, 6044, 6509, 7777, 725, 1317, 2553, 4165, 4697, 5203, 6828, 8058, 235, 1930, 2440, 4122, 4403, 6206, 7053, 7866, 271, 1603, 2511, 3877, 4534, 5283, 6267, 7760, 150, 1603, 2807, 4010, 4382, 5768, 6463, 7557, 1029, 1758, 2568, 3274, 4237, 5644, 6674, 7913, 693, 1509, 2740, 4035, 4690, 6050, 6392, 8054, 643, 1865, 2766, 3231, 4722, 5701, 7188, 7992, 304, 1407, 2929, 4078, 5030, 5948, 7069, 7260, 756, 1771, 3112, 3440, 4981, 5644, 6331, 7875, 518, 1324, 2818, 3231, 5061, 5610, 7149, 8130, 518, 1797, 2936, 3448, 4429, 5981, 7152, 8093, 878, 1525, 2565, 3374, 5150, 6175, 7129, 8107, 967, 1752, 2340, 3364, 4554, 5364, 6740, 7546, 945, 1528, 2806, 3914, 5080, 5241, 6996, 8147, 818, 2017, 2781, 3825, 4624, 5661, 6786, 8260, 818, 1528, 2746, 4071, 5080, 6051, 6988, 8237, 186, 1528, 2806, 3516, 4630, 6186, 6786, 8196, 235, 2120, 2709, 3639, 4805, 5439, 6579, 8214, 1094, 2061, 2820, 3240, 4949, 5597, 7178, 7918, 541, 2032, 3052, 3156, 4423, 5567, 6254, 8037, 132, 2073, 2586, 4006, 4276, 5705, 6612, 8252, 967, 1386, 3021, 3710, 5017, 5439, 6589, 8252, 684, 2000, 2880, 3982, 4573, 5573, 6774, 8080, 767, 2047, 2493, 3710, 5085, 5883, 6351, 8031, 271, 1383, 2313, 3460, 4841, 5742, 6674, 7453, 249, 1316, 2137, 3624, 5117, 5902, 6247, 8052, 249, 1183, 2623, 3626, 4826, 5557, 7154, 7403, 212, 1393, 2231, 3835, 4601, 6118, 6772, 8231, 1066, 1337, 3040, 4099, 5096, 6118, 6730, 7369, 249, 1496, 2769, 3333, 4755, 5829, 7083, 7496, 1101, 1627, 2308, 3635, 4364, 6067, 6859, 7576, 1029, 2118, 2755, 3623, 4328, 5492, 6446, 8211, 725, 1808, 2151, 3467, 5040, 5594, 6886, 7379, 465, 2036, 2188, 4142, 4408, 5742, 6731, 8036, 840, 1692, 2562, 3337, 5094, 6178, 6542, 7878, 1067, 1283, 2534, 3272, 4760, 5728, 6963, 7549, 271, 1526, 2591, 3218, 5096, 5706, 7049, 7298, 807, 1555, 2725, 3895, 5040, 5706, 6457, 7625, 465, 1397, 2530, 3552, 4226, 5983, 7129, 8117, 150, 1557, 2687, 3309, 4572, 5243, 6244, 7873, 993, 1286, 2762, 3266, 5155, 6215, 6238, 8245, 1029, 1471, 3066, 3245, 4214, 5750, 6574, 7978, 211, 1139, 2970, 3662, 4282, 5500, 6985, 7959, 1099, 1467, 3135, 4011, 4551, 6205, 6774, 7664, 804, 1791, 3008, 3516, 4870, 5216, 7218, 7481, 613, 1684, 2839, 3424, 4532, 5364, 7198, 7658, 942, 1692, 2724, 3383, 4588, 5436, 6494, 7519, 884, 2055, 2439, 3755, 4485, 5490, 6493, 8129, 884, 1349, 2689, 3920, 4488, 5954, 6630, 7790, 936, 1349, 2381, 3466, 4238, 5594, 6441, 7318, 895, 1938, 2866, 3770, 4823, 5880, 6461, 7537, 465, 1171, 2465, 3239, 4373, 5631, 6905, 7827, 465, 1171, 2175, 3624, 4462, 5221, 6494, 7979, 150, 1171, 2152, 3605, 5094, 5810, 6284, 7355, 887, 1717, 2661, 4073, 4819, 5936, 7019, 7586, 150, 1255, 2241, 3605, 5020, 5605, 6566, 7846, 610, 2048, 2162, 3956, 4297, 5844, 6613, 7698, 1025, 1924, 2436, 3917, 4287, 5362, 6302, 7816, 610, 1821, 2611, 3169, 4441, 5843, 6613, 8080, 171, 1878, 3053, 4151, 4845, 6051, 6421, 8083, 1091, 1370, 2720, 3788, 4928, 5884, 6360, 8117, 857, 1827, 3133, 3848, 4548, 6034, 6756, 7317, 663, 1833, 2258, 3909, 4387, 5903, 7017, 7557, 970, 1897, 2971, 3870, 5058, 5841, 6302, 7555, 938, 1881, 2936, 3701, 4701, 5694, 6291, 7651, 113, 1463, 2360, 4143, 4229, 6214, 7019, 7508, 803, 1324, 2893, 3475, 5016, 5749, 6480, 7650, 895, 1736, 2462, 4078, 4483, 5339, 6313, 7783, 913, 1494, 2744, 3530, 4402, 5325, 6319, 7384, 1084, 1884, 2974, 4101, 4228, 6002, 7066, 7384, 952, 1369, 2429, 3967, 4476, 6222, 6981, 7664, 265, 1455, 2175, 3968, 4364, 5874, 6514, 7355, 938, 1171, 2593, 3616, 4805, 5810, 6400, 7376, 610, 1533, 2987, 3384, 4555, 6040, 6917, 8253, 401, 1668, 2941, 4145, 4195, 5610, 6632, 8195, 833, 1918, 3064, 3941, 4834, 5978, 6709, 8252, 568, 1496, 2596, 3407, 4611, 5767, 7162, 7908, 225, 2060, 2959, 3532, 4490, 5318, 6251, 7878, 195, 1917, 2775, 3592, 4707, 6025, 6591, 7555, 518, 2127, 2725, 3790, 4344, 6120, 6238, 7664, 654, 2002, 2792, 3994, 5075, 5515, 6809, 7781, 228, 2111, 2172, 4139, 4344, 5219, 6410, 7838, 518, 1750, 2880, 3595, 5157, 5844, 7024, 8248, 240, 2127, 2554, 3470, 5097, 6211, 6671, 7865, 789, 2111, 2880, 3595, 4877, 5515, 6996, 7557, 419, 1851, 3133, 3825, 4775, 5241, 7077, 7677, 419, 1622, 3065, 4174, 4681, 5677, 7129, 8236, 256, 2127, 2669, 3914, 5159, 5493, 6589, 7773, 225, 2106, 2669, 3394, 4638, 5778, 6840, 8266, 183, 2127, 2953, 3873, 4890, 5534, 6612, 7717, 617, 1938, 2490, 3662, 5193, 5514, 6612, 7303, 488, 2111, 2970, 3827, 4423, 5981, 6612, 8147, 860, 1622, 2806, 3825, 4704, 5892, 6794, 7677, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8223, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 915, 1622, 2970, 3914, 4798, 6186, 7152, 7766, 555, 1648, 2970, 3825, 4890, 5901, 6752, 8196, 105, 2106, 2833, 3777, 5160, 5223, 7006, 7664, 555, 1468, 2833, 3374, 4681, 5219, 6988, 8126, 555, 1876, 2970, 3770, 4681, 6137, 7090, 8261, 555, 1304, 2775, 3391, 5166, 5550, 6752, 8080, 555, 1468, 2833, 4006, 4624, 5901, 6251, 7563, 555, 1684, 2340, 4068, 4512, 5892, 6589, 7865, 555, 1304, 2833, 4068, 4512, 6139, 6772, 8076, 859, 1695, 3150, 4018, 4542, 5705, 6776, 7716, 4, 2 ]

[ 1, 45, 41, 5, 64, 17, 29, 5, 16, 5, 76, 26, 52, 30, 5, 67, 45, 55, 5, 76, 35, 5, 62, 11, 64, 16, 28, 16, 52, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 4145, 4624, 6139, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6186, 7077, 7766, 915, 1528, 3065, 3886, 4798, 5612, 7077, 8179, 540, 1112, 2903, 3372, 4800, 5266, 6804, 8107, 881, 1212, 2872, 3635, 4734, 6034, 6464, 7528, 1040, 1924, 2231, 3687, 5113, 5530, 6687, 7524, 1003, 2083, 2788, 4165, 4359, 6097, 6619, 7429, 1056, 1759, 3006, 3909, 5159, 5968, 6810, 7870, 901, 1807, 2709, 3706, 5051, 6147, 6877, 7462, 518, 1525, 2598, 3425, 4724, 5436, 7041, 8100, 195, 1525, 2239, 3658, 4784, 5455, 7085, 7929, 334, 1426, 2959, 3277, 4673, 5993, 6966, 7838, 225, 1579, 2359, 3294, 4737, 5926, 6256, 7797, 518, 1524, 2287, 3931, 4387, 6029, 6980, 8041, 228, 1938, 2941, 3518, 5167, 5580, 7096, 7895, 424, 1801, 2869, 4084, 4651, 6131, 6830, 7796, 937, 1442, 2792, 4083, 5085, 5856, 6749, 8189, 1092, 1995, 2331, 3643, 4742, 5690, 6711, 7269, 994, 1780, 2706, 3672, 4406, 6104, 6595, 7413, 581, 1706, 2386, 3585, 4916, 5658, 6975, 8186, 404, 1706, 2431, 3770, 5043, 6201, 6501, 8245, 653, 1510, 2666, 3315, 5034, 5752, 6827, 7658, 512, 1752, 2795, 3977, 5024, 5983, 6807, 7707, 804, 2065, 2679, 4011, 5053, 6181, 6430, 8085, 571, 1913, 2679, 4006, 5145, 5385, 6774, 7591, 225, 1706, 2792, 3164, 4724, 5584, 7017, 7260, 334, 1706, 2761, 3723, 4192, 5419, 6443, 7961, 568, 1958, 2761, 3803, 5157, 6110, 6967, 7264, 952, 1668, 2792, 3363, 4423, 6149, 6810, 8188, 1098, 1356, 2629, 4102, 4572, 5687, 6349, 7451, 862, 1522, 2725, 3492, 4943, 6009, 6807, 7741, 620, 1812, 2725, 3585, 4226, 6135, 6991, 7650, 756, 1302, 2461, 3376, 4464, 5461, 6857, 7822, 308, 1851, 2941, 3909, 4318, 5696, 6612, 8126, 440, 1255, 2718, 3188, 4833, 6120, 6467, 7838, 684, 1178, 2941, 3922, 4912, 5548, 6776, 8076, 448, 2052, 2775, 3879, 5145, 5778, 6829, 7311, 776, 1393, 2860, 4150, 5182, 5565, 6988, 8135, 1081, 2035, 2348, 3540, 5080, 5616, 7069, 7312, 1081, 1897, 2502, 4074, 4781, 6156, 7084, 7586, 804, 1751, 2783, 3645, 5060, 6014, 6588, 7557, 512, 1931, 3064, 4018, 5058, 5901, 6709, 7723, 211, 1881, 2254, 4170, 5104, 5901, 7077, 8267, 663, 1797, 2924, 3990, 4828, 6211, 6709, 8179, 1071, 1700, 2925, 3510, 4343, 6051, 7217, 7570, 750, 1620, 3019, 3975, 4867, 5231, 7152, 7421, 776, 1821, 2554, 4171, 4454, 5241, 7217, 7687, 891, 1591, 2554, 3468, 5084, 5259, 6584, 8107, 223, 1703, 2137, 3807, 5093, 5407, 6755, 7725, 643, 2033, 2274, 3835, 5110, 5815, 6582, 7672, 895, 1516, 2137, 3718, 4389, 6130, 6581, 7554, 270, 2061, 2495, 3743, 4585, 5348, 6614, 8096, 1078, 1818, 2568, 3376, 5182, 5351, 7027, 7911, 394, 1806, 2747, 3915, 4742, 5224, 6483, 7625, 1034, 1727, 2901, 3329, 4232, 5965, 7073, 7843, 350, 1616, 2405, 3565, 4552, 5453, 6905, 7495, 161, 1521, 2894, 3988, 4413, 5411, 7214, 7383, 628, 1996, 2813, 3756, 4755, 6116, 7016, 8007, 910, 1770, 2764, 3154, 5199, 5938, 6463, 7695, 819, 1470, 2990, 3425, 4808, 5624, 7189, 7371, 950, 1621, 2869, 3269, 4552, 5356, 7002, 7987, 295, 1356, 2570, 3785, 5126, 5742, 6343, 7709, 910, 1278, 2930, 3552, 5184, 5579, 7158, 7626, 862, 1179, 2869, 3981, 4351, 5490, 6587, 8154, 862, 2118, 3094, 3259, 5010, 5957, 7202, 7369, 1080, 2099, 2304, 3770, 5011, 5713, 7200, 8172, 1080, 1361, 2137, 3770, 4729, 5624, 7148, 8187, 339, 2102, 2796, 3599, 4819, 5792, 7089, 7889, 835, 2118, 3070, 4102, 5022, 5538, 6964, 8218, 655, 1171, 2953, 3372, 4305, 5443, 6435, 7767, 546, 1208, 2137, 3332, 4906, 6047, 6640, 7687, 360, 1693, 2296, 3356, 4807, 5929, 7188, 7884, 531, 1503, 2321, 3573, 4960, 5893, 7015, 8128, 917, 2050, 2890, 3356, 4396, 5658, 6458, 8088, 1029, 1542, 2707, 4137, 5036, 5954, 6442, 8140, 150, 1503, 2690, 3580, 4196, 5902, 6404, 8061, 1029, 1302, 3040, 3600, 4182, 5872, 6562, 8125, 536, 1503, 2135, 4086, 4467, 5515, 6782, 7955, 150, 1318, 3040, 4119, 4687, 6050, 6952, 7859, 610, 1630, 2691, 4097, 4271, 6194, 6572, 8271, 610, 1898, 2554, 3950, 4962, 5538, 6825, 7492, 424, 1898, 2554, 3384, 4653, 5561, 6611, 8100, 789, 2041, 3110, 3253, 4467, 5493, 7152, 7398, 899, 2001, 2473, 3567, 5053, 6149, 7217, 7698, 440, 1518, 2880, 3225, 4240, 5650, 6895, 7496, 518, 2098, 3000, 3995, 5098, 5216, 7181, 7574, 878, 2030, 2792, 3631, 4555, 5436, 6298, 8243, 489, 1198, 2659, 4089, 4665, 5579, 6738, 7962, 776, 1668, 2959, 3612, 4282, 6107, 6895, 7687, 897, 1763, 2554, 3544, 4804, 6114, 7174, 8151, 896, 1388, 3091, 3741, 5123, 6016, 6917, 7916, 1039, 1283, 3091, 3979, 5180, 5724, 6938, 8149, 535, 1732, 2731, 3796, 4205, 5390, 6224, 7615, 399, 1732, 2165, 3329, 4998, 5724, 6425, 7660, 399, 1289, 2610, 3329, 4998, 5366, 6726, 8161, 993, 1289, 2748, 4096, 4321, 5825, 6540, 7531, 826, 1550, 2793, 3258, 5001, 5591, 6224, 7546, 778, 1550, 2552, 3468, 4770, 6066, 6377, 7744, 104, 1858, 3039, 3464, 4800, 5204, 6663, 7516, 1025, 1831, 2436, 3604, 5042, 6119, 6687, 7776, 826, 1858, 2899, 3292, 5015, 5727, 6536, 8095, 150, 1831, 2926, 4082, 5084, 5952, 6512, 7778, 104, 1858, 2797, 3384, 4665, 5742, 7220, 8069, 1025, 1858, 2877, 4026, 4474, 5966, 7079, 8074, 424, 1989, 2944, 4112, 5143, 5730, 6899, 8242, 776, 1146, 2493, 3231, 4849, 5265, 7162, 7658, 1024, 1581, 2294, 3540, 4181, 5644, 7100, 8081, 1008, 1990, 2137, 4146, 4994, 5856, 6735, 8240, 344, 1926, 2725, 3218, 4333, 5279, 6247, 8018, 864, 1838, 2390, 3235, 4953, 5526, 7190, 8241, 265, 1919, 2894, 3363, 4946, 5792, 7032, 7516, 110, 1867, 2487, 3196, 4429, 5834, 6888, 8135, 818, 2046, 2746, 3671, 5058, 6175, 6604, 7887, 935, 2000, 3006, 3990, 5060, 5630, 6709, 7421, 935, 1175, 3064, 4011, 5060, 5883, 6786, 7949, 935, 2064, 3064, 4067, 4287, 6195, 6996, 8179, 935, 2017, 3008, 4152, 4630, 5832, 6809, 7723, 510, 1874, 2730, 4018, 4822, 6014, 6996, 7949, 1099, 1847, 2834, 3886, 5145, 6085, 7006, 8076, 923, 1752, 2944, 3959, 4898, 5220, 6612, 7838, 844, 1199, 2691, 3405, 4567, 5742, 6340, 7825, 160, 1342, 2534, 3960, 4339, 5300, 7111, 8168, 360, 2115, 2956, 3218, 4417, 5744, 6911, 7521, 428, 1682, 2661, 4173, 4929, 5657, 7092, 7490, 895, 1348, 3078, 3624, 4369, 6135, 6340, 7802, 249, 1345, 2141, 3424, 4336, 5745, 6978, 7565, 247, 1553, 2676, 3360, 4689, 5552, 6542, 7881, 247, 1157, 3146, 3394, 4604, 5222, 6922, 8253, 535, 1157, 2436, 3623, 4604, 6080, 6926, 8111, 1066, 1609, 2436, 3480, 4776, 6220, 6234, 7815, 878, 1660, 2429, 4004, 4792, 5453, 6414, 7591, 654, 1556, 2359, 3759, 4945, 5570, 6393, 7609, 654, 1750, 2316, 3516, 5048, 5515, 6889, 8130, 654, 1862, 2875, 3658, 4601, 5223, 6892, 7660, 654, 1862, 3147, 3332, 5048, 5360, 6900, 8164, 518, 1620, 2875, 3903, 4776, 6175, 6338, 8241, 256, 1961, 3144, 4168, 5104, 6110, 7220, 8198, 356, 2065, 2923, 3370, 5134, 5677, 6738, 7473, 716, 1758, 2725, 3731, 5192, 6054, 6605, 7402, 536, 1850, 2868, 3245, 4800, 6180, 6937, 8210, 104, 1463, 2207, 3167, 4819, 5654, 7163, 8046, 211, 1865, 3060, 3648, 4667, 5923, 7166, 8163, 1056, 1939, 3033, 3648, 5014, 5598, 6510, 7768, 610, 1945, 2725, 4067, 4333, 5796, 6671, 7908, 1003, 1318, 2915, 3796, 4546, 5870, 6669, 7962, 504, 1457, 2444, 3479, 4544, 5825, 7241, 7611, 864, 1897, 2137, 3699, 4191, 5648, 6798, 7480, 1067, 1350, 2137, 3729, 4829, 6142, 6755, 7918, 864, 1766, 2974, 3882, 4874, 5884, 6453, 7694, 992, 1469, 2480, 3741, 5110, 5742, 6282, 8232, 277, 1995, 2137, 3187, 4457, 5341, 6628, 8082, 1008, 1753, 2137, 3573, 4274, 5806, 6685, 8039, 620, 2050, 2396, 3943, 5003, 6004, 6242, 8037, 678, 1913, 3108, 3964, 4449, 6025, 6680, 7610, 132, 1919, 2895, 3961, 4268, 5841, 6734, 7515, 488, 1218, 2936, 4041, 4980, 6051, 7077, 8147, 935, 1600, 2754, 4068, 4792, 6014, 6979, 8179, 935, 1175, 2989, 3440, 5165, 5635, 6774, 7949, 488, 1528, 2391, 3982, 5129, 5241, 7218, 8223, 935, 2017, 2925, 3188, 5159, 6131, 6988, 7876, 935, 2017, 2340, 3803, 4782, 6081, 6752, 7876, 484, 2065, 3064, 3645, 4512, 5630, 6688, 7723, 552, 1468, 2880, 3376, 4287, 5901, 7168, 7831, 552, 1826, 2971, 3595, 4512, 5550, 7152, 7485, 555, 2111, 2970, 3564, 4798, 5635, 6612, 8196, 552, 2127, 3144, 3914, 4423, 6131, 6677, 8213, 552, 2127, 2858, 3914, 4387, 5987, 7124, 8266, 105, 2106, 3143, 3891, 5079, 5548, 6584, 7476, 105, 2111, 2554, 4166, 4762, 5548, 6991, 7405, 552, 1695, 2946, 4006, 4583, 5672, 6917, 7831, 105, 1750, 2833, 3394, 5130, 5767, 7207, 8164, 105, 1586, 2944, 3681, 5138, 5515, 6988, 8061, 105, 1684, 3147, 4166, 5135, 5672, 6584, 7715, 555, 1345, 2356, 3277, 5135, 5586, 6671, 7717, 555, 1684, 3040, 4071, 4387, 5935, 6671, 7939, 555, 2065, 2839, 3391, 4583, 5550, 6584, 7677, 555, 2111, 2858, 4068, 5079, 5241, 6996, 8236, 4, 2 ]

[ 1, 26, 5, 76, 45, 52, 5, 16, 75, 33, 54, 50, 5, 77, 73, 5, 5, 5, 53, 26, 5, 30, 11, 63, 52, 44, 55, 5, 5, 5, 43, 48, 5, 64, 33, 30, 5, 5, 3, 419, 2013, 2548, 4113, 4225, 5784, 6918, 8054, 915, 2060, 2980, 3982, 4622, 5811, 6979, 7262, 955, 2065, 2946, 3966, 5125, 6113, 6630, 7831, 950, 1803, 2492, 4005, 4738, 5941, 6295, 7709, 442, 1649, 2805, 3310, 4243, 5341, 6432, 8003, 467, 2060, 2335, 4130, 4364, 6055, 6949, 7755, 819, 1375, 2930, 3469, 5011, 5982, 6894, 7429, 966, 1510, 2335, 3561, 4205, 5291, 6626, 7761, 943, 1510, 2751, 4057, 5001, 5533, 6237, 7305, 416, 2053, 2812, 4003, 4495, 5398, 7072, 7626, 584, 1808, 2625, 3527, 4800, 5429, 6777, 8064, 786, 1361, 2601, 3416, 4602, 6183, 6799, 7804, 786, 1773, 2188, 4003, 4776, 5353, 6393, 8189, 786, 1773, 2188, 3812, 4776, 5341, 6710, 7972, 998, 2059, 2868, 3327, 4440, 5297, 7094, 8033, 299, 1402, 2490, 3314, 4373, 6141, 6466, 8129, 299, 1318, 2207, 3890, 4181, 6187, 6531, 7616, 150, 2053, 2465, 4093, 4242, 5526, 6561, 8074, 150, 2115, 2727, 3218, 4270, 5953, 7043, 7908, 150, 1630, 2968, 3742, 5114, 5726, 6313, 7365, 535, 1499, 2486, 3556, 4845, 6141, 6273, 7791, 608, 2089, 2706, 3241, 4245, 5793, 7092, 7801, 528, 1199, 2495, 3755, 4911, 5828, 6354, 7864, 363, 2050, 2881, 3224, 4539, 5823, 7131, 7850, 249, 2048, 2274, 3356, 5029, 6118, 6315, 8018, 608, 1129, 2173, 3754, 4363, 6135, 6225, 7442, 386, 1129, 3074, 4128, 4906, 5512, 6619, 7535, 504, 1183, 2142, 3329, 4274, 5745, 6812, 7402, 1080, 1183, 2161, 3452, 4364, 5951, 6906, 7415, 989, 1440, 3085, 3310, 4848, 5787, 7053, 7442, 538, 2105, 3119, 3356, 4335, 5601, 6224, 7502, 728, 1596, 3040, 3888, 5015, 5574, 7153, 7605, 1036, 1509, 3103, 3623, 4920, 5656, 6760, 8228, 1102, 1682, 2361, 3350, 4229, 5269, 6419, 7341, 211, 1173, 2334, 3188, 4780, 5216, 6540, 8209, 833, 1956, 2868, 4026, 5095, 5650, 6748, 7723, 440, 1649, 3019, 3956, 4700, 5795, 6414, 8161, 440, 1918, 2598, 3710, 5159, 5734, 6820, 7355, 901, 1966, 2970, 3740, 5197, 5429, 7118, 8267, 756, 1649, 3144, 4153, 4630, 6184, 6840, 8088, 440, 1403, 2924, 4000, 4423, 5390, 6525, 7559, 326, 1762, 2788, 3956, 4412, 5995, 6876, 7349, 1036, 1630, 2429, 3395, 5101, 5369, 7081, 7291, 969, 1717, 2811, 3338, 4412, 5495, 6567, 8153, 363, 1588, 2448, 3697, 4921, 5397, 6921, 7369, 528, 1550, 2239, 3549, 5182, 5828, 6376, 8085, 1004, 1561, 2726, 3792, 4356, 5815, 7166, 7752, 363, 1167, 2426, 4007, 4693, 5711, 6914, 7634, 266, 1985, 2940, 3799, 4919, 6194, 6555, 7885, 981, 1167, 2687, 4120, 4592, 5778, 6354, 7419, 955, 1302, 2655, 4128, 4985, 6172, 7224, 7781, 401, 2068, 2727, 3955, 4877, 5234, 6338, 7677, 731, 1994, 2717, 4150, 4536, 5573, 6337, 8189, 1025, 1594, 2543, 4155, 5097, 6007, 6852, 7420, 386, 1717, 3033, 3631, 4592, 5579, 7103, 7367, 150, 1255, 3020, 3920, 4534, 5504, 6850, 7658, 650, 1630, 2595, 3271, 4885, 5993, 6769, 7869, 1025, 1782, 2868, 3909, 5097, 5564, 6424, 7627, 211, 2009, 2436, 3782, 4387, 5454, 6452, 7515, 757, 2048, 2988, 4027, 4954, 5976, 7165, 7704, 568, 1633, 2181, 3894, 4733, 5686, 6860, 7770, 568, 1979, 2847, 3929, 5160, 5918, 6671, 7887, 568, 2008, 2302, 3316, 4778, 5218, 7100, 7711, 421, 1797, 3139, 3364, 4604, 5549, 7163, 7501, 424, 1971, 3053, 3776, 4863, 5578, 6895, 7816, 104, 1971, 2559, 3741, 4863, 5429, 7008, 8005, 1025, 1918, 2326, 3824, 4275, 6208, 6598, 7263, 826, 1758, 2920, 3674, 5069, 5811, 7198, 7679, 826, 1255, 3091, 4083, 4644, 6047, 6740, 7312, 826, 1768, 2311, 3916, 4604, 5765, 6403, 7524, 659, 1838, 2798, 3410, 4586, 5700, 6903, 7702, 826, 1674, 2348, 3928, 4330, 5861, 6871, 7594, 304, 1269, 2610, 3642, 4747, 6066, 6938, 7998, 1025, 1797, 2610, 3973, 4379, 6006, 6403, 7929, 610, 2009, 2678, 3420, 4534, 5819, 6988, 7736, 610, 1206, 2282, 3178, 4575, 5591, 6224, 7947, 610, 1370, 2503, 3930, 5193, 6000, 6829, 8201, 528, 1192, 2497, 3763, 4574, 6098, 6592, 8207, 302, 1682, 2680, 3987, 4678, 6194, 6843, 7461, 302, 1682, 3040, 4160, 4763, 5884, 6493, 8137, 212, 1494, 3040, 3360, 4539, 5473, 7171, 7834, 212, 1494, 3040, 4073, 4924, 6194, 6902, 7461, 319, 1252, 2642, 3686, 4351, 6012, 6442, 7360, 319, 1510, 2973, 3647, 4585, 5325, 6354, 8137, 884, 1510, 2498, 3568, 5151, 5811, 6226, 7490, 1057, 1586, 2751, 3259, 4218, 6171, 7037, 8256, 986, 1586, 2974, 3963, 4321, 5347, 6908, 8040, 211, 1644, 2936, 3994, 4218, 5530, 7095, 7474, 211, 1791, 2340, 3928, 5044, 5620, 7132, 7341, 304, 1623, 2360, 3891, 4276, 5989, 6542, 8224, 610, 1797, 2936, 4145, 5101, 5832, 6584, 7806, 683, 1831, 3124, 3292, 4368, 6061, 6443, 7255, 137, 2113, 3003, 3955, 4985, 5751, 6570, 7813, 631, 1283, 3066, 3562, 4855, 5762, 7230, 7985, 774, 2059, 2716, 3544, 4364, 6086, 6701, 7321, 900, 1990, 2491, 3684, 4990, 6135, 6603, 8026, 1067, 1975, 2346, 3421, 5137, 5295, 6441, 8247, 840, 1322, 2346, 3790, 5015, 5408, 6943, 7542, 536, 1867, 2903, 4015, 4739, 5304, 7067, 7791, 1005, 1799, 2790, 3192, 4205, 5341, 7126, 7517, 759, 1168, 2669, 3249, 4575, 5574, 6554, 7578, 895, 1968, 2864, 3225, 4338, 5302, 6978, 7366, 1067, 2091, 2755, 3771, 4991, 5615, 6690, 7866, 547, 1865, 2232, 3791, 5050, 5491, 6822, 7312, 265, 1865, 2837, 3787, 4615, 6083, 6905, 8017, 1067, 1865, 2268, 3433, 4282, 5756, 7134, 7547, 815, 1607, 2693, 3162, 4741, 5363, 7245, 8205, 981, 1674, 2470, 3918, 4650, 5918, 6430, 7852, 643, 1489, 2933, 3582, 4595, 5236, 7126, 7831, 1011, 1146, 2506, 3162, 4813, 5449, 6619, 7476, 938, 1299, 2595, 3811, 4364, 5433, 6929, 8222, 730, 1758, 2974, 4007, 4319, 5611, 6901, 8117, 175, 1649, 2615, 3955, 4796, 5441, 6477, 7868, 1080, 1164, 3116, 3737, 4952, 6119, 6740, 8092, 1080, 1732, 3141, 3421, 5047, 5584, 6677, 7578, 408, 1778, 2751, 3812, 4493, 5347, 7059, 8092, 1025, 1782, 2258, 3679, 4604, 5574, 7010, 7646, 104, 1120, 2396, 3271, 4297, 6128, 6871, 7318, 391, 1489, 2783, 3271, 4428, 5202, 6908, 7696, 335, 1275, 3033, 3430, 5101, 6166, 6740, 8197, 424, 1403, 2740, 4085, 4536, 5844, 6771, 7755, 390, 1827, 3007, 4038, 4280, 5892, 7055, 7563, 756, 1550, 2886, 3190, 4258, 5580, 6270, 7602, 103, 2125, 2661, 3662, 5162, 5719, 7219, 7438, 891, 1550, 2987, 3602, 4337, 5840, 6689, 7476, 750, 1550, 2987, 3929, 4651, 6101, 6815, 8117, 650, 1924, 2692, 3593, 4429, 5445, 6306, 7696, 104, 1876, 2797, 3434, 4364, 5935, 6816, 7826, 839, 1553, 2440, 3850, 5160, 5800, 6692, 8028, 404, 1388, 2268, 4080, 5135, 6002, 6484, 7801, 850, 1942, 2242, 3762, 4670, 5697, 6762, 8246, 448, 1164, 3029, 3521, 4543, 5823, 6911, 8238, 715, 1311, 3007, 3570, 4700, 5870, 6347, 7778, 699, 2013, 2332, 3363, 4696, 5942, 6905, 7405, 195, 1570, 2880, 3662, 4267, 5425, 6551, 7791, 654, 2106, 2554, 3555, 4450, 6137, 6346, 7862, 654, 1283, 2341, 3407, 5160, 5521, 6650, 7473, 225, 1684, 2565, 4094, 4459, 5413, 7095, 8262, 317, 1570, 2944, 3564, 5138, 5890, 6909, 7860, 256, 1684, 2944, 4074, 4881, 5978, 7082, 7677, 552, 1623, 2565, 3374, 4592, 5436, 6840, 8080, 401, 1750, 2803, 3188, 5083, 5219, 7129, 8248, 271, 1570, 2473, 4082, 4180, 5350, 6850, 7420, 458, 1724, 2414, 3261, 4618, 6080, 6617, 7819, 774, 1494, 2263, 3900, 4580, 6077, 6938, 7376, 407, 1732, 2751, 3896, 4919, 6028, 6676, 7725, 902, 1616, 2751, 3323, 4242, 6170, 6899, 7777, 113, 1636, 2411, 3708, 4952, 5304, 6296, 8046, 1080, 1397, 2265, 3225, 4186, 6109, 6444, 7634, 668, 1732, 2334, 3262, 4620, 5325, 6426, 7709, 1084, 1323, 2672, 4089, 5025, 5835, 6651, 7627, 113, 1832, 2610, 4167, 5137, 5825, 6992, 8043, 1080, 1397, 2693, 3522, 5077, 5745, 6669, 8181, 390, 1510, 2728, 3951, 4633, 6175, 7085, 7421, 308, 2125, 2980, 3374, 4551, 5493, 7132, 8060, 288, 1467, 2895, 3908, 4592, 5767, 6584, 7816, 779, 1330, 3110, 4135, 4870, 5436, 6884, 7887, 1056, 1675, 2775, 3566, 4881, 6085, 7098, 8095, 756, 2098, 2560, 4135, 4536, 5821, 7207, 7736, 1057, 1971, 2924, 3253, 5007, 5503, 7129, 7791, 1057, 2048, 2871, 3900, 5169, 6007, 6830, 7631, 1025, 1393, 2151, 3423, 4620, 5294, 6614, 7386, 1025, 1472, 2762, 3165, 4911, 6163, 6350, 7555, 211, 2111, 2552, 3982, 4902, 5752, 7006, 7838, 804, 2111, 2315, 4145, 4216, 5424, 6393, 8195, 552, 2045, 2987, 3440, 4387, 5590, 7047, 7677, 186, 2111, 3008, 3886, 4704, 5761, 7239, 7838, 818, 1175, 2730, 3886, 4588, 5241, 6515, 7720, 488, 2017, 3135, 4071, 5038, 5901, 7218, 8147, 818, 2017, 3110, 3893, 4630, 5241, 7077, 8223, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 54, 57, 5, 66, 63, 39, 64, 5, 17, 75, 5, 33, 54, 47, 5, 51, 26, 54, 30, 5, 51, 69, 30, 5, 28, 48, 5, 30, 44, 64, 51, 17, 75, 35, 30, 5, 17, 75, 5, 76, 17, 54, 5, 17, 75, 5, 31, 16, 5, 53, 57, 64, 66, 5, 43, 20, 63, 16, 28, 16, 52, 5, 51, 63, 26, 53, 78, 5, 44, 54, 5, 31, 16, 5, 43, 57, 52, 5, 14, 54, 16, 52, 78, 5, 17, 75, 5, 31, 16, 5, 51, 17, 54, 66, 63, 47, 5, 5, 3, 488, 2017, 3117, 3367, 4704, 6211, 6515, 8147, 914, 1467, 2941, 4018, 4387, 6149, 6918, 8147, 223, 1637, 2533, 3908, 5022, 6149, 6830, 7706, 1025, 1717, 3033, 4027, 4543, 6149, 7149, 7877, 778, 1797, 2429, 3525, 4307, 5944, 7220, 7617, 1074, 1555, 3039, 3609, 4902, 5745, 6959, 7389, 547, 1490, 2951, 3166, 4654, 6204, 6883, 7802, 692, 1682, 2515, 3613, 4555, 6204, 7067, 7515, 1067, 1838, 2313, 3356, 4620, 5978, 6903, 7531, 778, 1838, 2847, 3756, 4442, 5716, 6348, 7996, 104, 1275, 2595, 3781, 5127, 5640, 7048, 7375, 1025, 1399, 2693, 4106, 4543, 5315, 7012, 7355, 424, 1540, 2990, 3918, 4797, 5942, 6613, 7594, 804, 2073, 2975, 3788, 5058, 6211, 7218, 7476, 510, 1581, 3043, 3540, 4822, 5573, 6752, 7806, 914, 1608, 3095, 3886, 5166, 5614, 7218, 7723, 956, 1218, 2989, 3982, 5080, 5883, 7239, 7570, 956, 2046, 2957, 4011, 4822, 5210, 7084, 8147, 153, 1620, 2424, 4124, 4215, 5595, 7095, 7876, 421, 1596, 3048, 3651, 4935, 5863, 6365, 7880, 421, 1923, 2358, 3350, 4860, 6163, 6613, 8098, 568, 1865, 2904, 3564, 4792, 6163, 6984, 7318, 541, 1758, 2904, 3233, 4836, 5952, 7017, 7350, 153, 1620, 2659, 3932, 4193, 5827, 6566, 7386, 91, 1403, 2610, 3994, 4864, 5686, 6613, 8093, 223, 1171, 2778, 3771, 4943, 6194, 6614, 8061, 876, 2033, 2378, 3570, 4333, 6052, 7063, 7365, 249, 1510, 2994, 3340, 4569, 6145, 6449, 7939, 535, 1472, 2357, 3751, 4586, 5492, 6442, 7814, 884, 1942, 3063, 3842, 4364, 5283, 6932, 7442, 643, 1808, 2897, 3917, 4804, 5485, 6995, 7535, 1081, 1834, 2311, 3776, 4651, 5438, 6507, 7896, 610, 1948, 2429, 3827, 5151, 5600, 6892, 8101, 940, 1797, 2492, 3498, 4179, 5216, 7058, 7383, 405, 1167, 2874, 3446, 4755, 5778, 6582, 7720, 617, 1572, 2349, 3955, 5127, 6063, 7120, 8066, 568, 2045, 2759, 3550, 4870, 5884, 7119, 7822, 568, 1570, 2656, 3407, 4611, 6063, 7047, 7949, 228, 2034, 3046, 3344, 5138, 5981, 6231, 8099, 654, 1938, 2858, 3375, 4376, 5830, 7098, 8082, 654, 1750, 2833, 3592, 5048, 5493, 7232, 8266, 654, 1684, 2729, 3674, 4214, 5942, 6677, 8069, 240, 1304, 3062, 4174, 4764, 6110, 7129, 7706, 240, 2111, 3062, 3933, 4918, 5241, 6607, 7402, 256, 1961, 2565, 3891, 4214, 5385, 7160, 7838, 859, 1961, 2959, 3983, 4387, 5493, 6752, 8102, 767, 1459, 2424, 3159, 5079, 6146, 6256, 8016, 271, 1323, 2261, 3492, 4523, 5436, 6338, 8043, 314, 1627, 2307, 3905, 4474, 5431, 7222, 7602, 1057, 1557, 2436, 3472, 4727, 6118, 7002, 7318, 211, 1250, 2163, 3901, 4509, 5995, 7201, 8188, 1037, 1635, 2798, 3472, 4276, 6096, 7157, 7508, 373, 2084, 2163, 3253, 4586, 6211, 6603, 7284, 884, 1116, 3002, 3994, 4604, 5573, 7033, 7828, 936, 1306, 2381, 3978, 5088, 5585, 6989, 8044, 314, 1794, 3116, 3298, 4474, 5673, 6906, 7987, 150, 1397, 2387, 4010, 4841, 5320, 6944, 7842, 610, 2048, 3020, 3767, 5169, 5894, 6520, 7677, 575, 1773, 3098, 3517, 4602, 6171, 7229, 8075, 150, 1820, 2761, 3710, 4665, 5223, 6852, 7728, 643, 2102, 2687, 3276, 4539, 6056, 6338, 7570, 1029, 1829, 2826, 3732, 4571, 5776, 6260, 8224, 970, 1692, 2492, 4083, 4441, 5764, 7207, 8066, 216, 1768, 2946, 3323, 4556, 6137, 6866, 7664, 512, 2068, 2803, 4145, 5166, 5981, 6972, 7753, 488, 2041, 3007, 4018, 5080, 6205, 6604, 8267, 510, 1847, 3110, 3710, 4822, 5832, 6988, 8083, 956, 2068, 3095, 4114, 4782, 6195, 6996, 7782, 967, 1964, 2340, 3886, 4622, 5767, 6740, 7367, 165, 1176, 2996, 4039, 4404, 5734, 6740, 7563, 579, 1684, 2897, 3528, 4762, 5268, 6313, 8102, 552, 2065, 3021, 3201, 4429, 5624, 7065, 7677, 160, 1596, 2959, 3361, 4752, 5942, 7102, 7524, 223, 1615, 2783, 3245, 4434, 5923, 6963, 7476, 784, 2011, 2726, 3419, 4742, 5594, 6359, 7905, 1067, 1346, 2861, 4066, 4929, 5521, 7209, 8271, 1066, 1591, 3040, 3306, 4801, 5345, 6741, 8044, 725, 1183, 2959, 3766, 4841, 5356, 6506, 7607, 884, 1650, 3040, 4151, 5055, 5815, 6474, 7801, 1101, 1759, 2959, 3925, 4570, 5658, 6905, 7673, 840, 2118, 2431, 3785, 4441, 5523, 6338, 7860, 575, 1818, 2239, 3483, 5135, 5305, 6736, 8028, 895, 1434, 2422, 3877, 4246, 6018, 6251, 7669, 504, 2008, 2833, 4106, 4828, 5563, 6663, 8036, 784, 1289, 2380, 3540, 4978, 5224, 6509, 7778, 887, 1732, 2298, 3560, 4531, 5317, 6850, 7336, 504, 1797, 2944, 3410, 4186, 5630, 6393, 7899, 643, 1717, 2944, 3201, 4691, 6195, 6668, 7957, 678, 1978, 2429, 3536, 4337, 5752, 7111, 7887, 804, 2002, 2167, 4124, 4276, 6051, 6980, 7557, 186, 1648, 2798, 3516, 5020, 6085, 6901, 8093, 510, 2068, 2880, 4097, 4583, 5761, 6786, 7557, 508, 1386, 3046, 4150, 4255, 5778, 6477, 8250, 579, 1721, 2639, 3541, 4877, 5444, 6265, 7992, 731, 1736, 2163, 3964, 4651, 5527, 7239, 7920, 386, 2008, 3038, 3245, 4179, 5893, 7205, 7647, 1029, 2059, 3085, 3552, 4978, 5226, 7026, 7720, 887, 1758, 3130, 3575, 4630, 5824, 6740, 8213, 512, 1721, 2847, 4011, 4630, 5661, 6709, 8076, 512, 1675, 3101, 4027, 4215, 5883, 7111, 7570, 1056, 1675, 3064, 3540, 4529, 5705, 6515, 7876, 1056, 1869, 2838, 3540, 5104, 5694, 6996, 7723, 1056, 1773, 3144, 3710, 4589, 5705, 7168, 8267, 363, 1806, 2886, 3540, 5006, 5835, 7090, 7677, 504, 1692, 2448, 4103, 5042, 5257, 6777, 8040, 807, 1915, 3020, 3580, 4539, 5354, 6470, 8178, 986, 2033, 2595, 3826, 4604, 5790, 7117, 8077, 487, 1924, 3020, 3993, 5051, 5413, 7006, 8078, 940, 1809, 2142, 3731, 4604, 6002, 6465, 7488, 308, 1467, 3128, 4085, 5088, 6063, 7084, 8080, 684, 1467, 2991, 4011, 4822, 5678, 7218, 8260, 513, 1320, 2543, 3826, 4551, 5705, 6338, 8076, 448, 1570, 2803, 3582, 4470, 5591, 7243, 7691, 448, 1768, 2448, 3802, 5134, 5849, 6314, 7959, 643, 1439, 2629, 3517, 4379, 5856, 6914, 7547, 504, 1938, 2934, 3164, 4935, 6184, 7163, 8216, 448, 1938, 2519, 3977, 4529, 5472, 6623, 8227, 654, 2033, 2792, 3264, 4921, 6167, 6606, 8205, 654, 1597, 2986, 3631, 4562, 5830, 6663, 8209, 127, 1853, 2469, 4096, 4381, 5624, 6272, 8182, 654, 1510, 2181, 3313, 5182, 6048, 7157, 7867, 518, 1645, 2473, 3225, 4764, 5751, 7207, 8098, 654, 2106, 2904, 3955, 4776, 5436, 6338, 8179, 617, 1876, 2875, 4106, 4398, 5586, 6504, 7476, 337, 2111, 2669, 3732, 5150, 5873, 7162, 8248, 915, 1961, 2803, 4171, 5166, 5767, 7084, 7477, 419, 1508, 2991, 3982, 5138, 6149, 7168, 8237, 707, 1965, 2709, 4096, 4727, 5548, 7132, 7965, 833, 1705, 2941, 3595, 4261, 5216, 7098, 7806, 685, 1363, 2793, 3891, 4981, 5523, 6263, 8061, 875, 1826, 2427, 3165, 4687, 6135, 6448, 7827, 249, 1826, 2294, 3424, 4383, 5533, 6335, 8206, 993, 1407, 2623, 3479, 4364, 5898, 6631, 7289, 1029, 1301, 3066, 3573, 4824, 6119, 7219, 7583, 1029, 1407, 2213, 4072, 4334, 5966, 6550, 7981, 776, 2079, 3092, 3427, 4191, 6222, 6784, 8130, 211, 2063, 2860, 3909, 4287, 5654, 7207, 8017, 1056, 1939, 2381, 4145, 4651, 5646, 7002, 7474, 715, 1682, 2940, 4135, 4186, 5586, 6607, 8083, 115, 1924, 2381, 3261, 4983, 5943, 6710, 7445, 868, 1930, 2222, 4124, 4807, 6118, 6306, 7995, 887, 1239, 2737, 3540, 5063, 5937, 7019, 7927, 536, 1239, 2868, 4080, 4623, 5944, 7004, 7447, 299, 1758, 2503, 3578, 4804, 5327, 7085, 7918, 299, 1299, 2564, 3395, 4804, 5730, 7094, 7934, 536, 1299, 2483, 4080, 4943, 6181, 6945, 7896, 536, 1239, 2292, 4083, 4541, 5595, 6966, 7981, 536, 1507, 2232, 4083, 4602, 5587, 6651, 8129, 536, 1510, 2232, 3788, 4297, 6066, 6808, 7383, 1005, 1421, 2142, 3370, 4682, 5663, 6523, 7773, 684, 1238, 2833, 3188, 4869, 5944, 6709, 8083, 1056, 1978, 3006, 4068, 5098, 5802, 6979, 8260, 390, 2079, 2947, 3983, 4622, 6205, 7132, 7664, 390, 1700, 2775, 4152, 5183, 5436, 6996, 7481, 462, 1323, 2448, 3956, 5124, 5923, 7062, 7504, 992, 2036, 2724, 3572, 4494, 5339, 6478, 7646, 1016, 1773, 2550, 3390, 4205, 5642, 7004, 8123, 684, 1540, 2746, 3788, 4573, 5436, 7157, 8076, 1097, 2111, 2925, 4011, 4782, 5883, 6771, 8076, 818, 1791, 2730, 3188, 4630, 5968, 6589, 7806, 818, 2017, 2730, 4174, 4624, 5883, 7201, 7641, 818, 1622, 3128, 3893, 4782, 5832, 7201, 7876, 859, 2111, 2803, 4166, 4512, 6129, 6988, 8147, 617, 1345, 2775, 4068, 4287, 5378, 7152, 7643, 617, 1345, 2775, 3564, 4287, 5246, 6736, 8179, 617, 2078, 2775, 3550, 4297, 5425, 6584, 7415, 617, 2127, 2370, 3595, 4859, 5624, 6800, 7846, 105, 2002, 3021, 3550, 4398, 6175, 6840, 7782, 617, 1345, 3064, 3891, 5083, 5296, 7090, 7707, 617, 1750, 2775, 3217, 5128, 5436, 6840, 7716, 105, 2111, 3021, 3550, 4859, 5241, 7152, 7806, 617, 2002, 3064, 3993, 5179, 5385, 6515, 8080, 105, 2111, 2370, 4096, 4868, 5515, 6589, 7303, 105, 2111, 2370, 3827, 4615, 5550, 6612, 7716, 555, 2002, 2839, 3803, 4304, 6149, 6612, 8260, 105, 1750, 2833, 3777, 5075, 6149, 6988, 8083, 552, 1345, 3143, 3838, 5060, 5901, 6677, 8126, 552, 1332, 2839, 4083, 5079, 5892, 6589, 8236, 337, 2111, 2469, 3803, 5060, 5635, 6408, 7677, 915, 2078, 3064, 3803, 5060, 5963, 6589, 7962, 945, 1304, 2806, 3825, 4624, 5241, 7077, 7766, 186, 1406, 2340, 4170, 4888, 6186, 7077, 7949, 715, 1499, 2212, 3533, 5139, 5784, 7059, 8262, 249, 1183, 2409, 3772, 4767, 6043, 6828, 7519, 368, 2050, 2494, 3894, 4758, 5655, 6843, 8171, 1024, 1469, 2757, 3568, 4953, 5240, 6542, 7724, 980, 1747, 2985, 3371, 4729, 5788, 7060, 7369, 211, 1566, 3109, 4055, 4471, 6014, 6554, 7715, 715, 1817, 2473, 3982, 4589, 5963, 6620, 7449, 708, 1452, 2700, 3226, 4952, 6061, 6834, 7953, 489, 1171, 2858, 3904, 4280, 6075, 6738, 8016, 1057, 1873, 2381, 3662, 4598, 5918, 6834, 7312, 408, 1747, 2578, 3892, 4997, 5231, 7111, 7816, 850, 1867, 2562, 4087, 4181, 5307, 6677, 7918, 864, 1581, 2926, 3940, 4364, 5541, 7069, 7810, 1067, 1469, 2136, 3205, 4328, 6141, 6765, 7248, 1008, 1906, 2861, 3741, 4256, 5991, 6522, 7931, 864, 1919, 2580, 3752, 4273, 5833, 6255, 8174, 993, 1716, 2134, 3748, 4268, 5295, 7190, 7546, 443, 2059, 2979, 4099, 4456, 5810, 6847, 7530, 1005, 1568, 2564, 3581, 4644, 6104, 6995, 7841, 1025, 2055, 3053, 3901, 4467, 5599, 6736, 8023, 826, 1676, 2227, 3233, 4588, 5591, 6414, 8143, 826, 1499, 2486, 3410, 4586, 5907, 6224, 7904, 826, 1141, 2688, 3740, 4321, 5924, 7114, 7966, 1101, 1499, 2173, 4120, 4212, 5369, 6313, 8177, 535, 1440, 2868, 3466, 4321, 5880, 7163, 7756, 610, 1145, 2688, 3420, 4321, 5954, 6392, 8174, 955, 1972, 2536, 3206, 5080, 5553, 7163, 7846, 211, 1146, 2971, 3671, 5075, 5475, 6302, 7437, 610, 1265, 2389, 4174, 4852, 5437, 7090, 7764, 887, 1265, 2352, 3254, 5058, 5902, 7008, 7618, 895, 1617, 2137, 4099, 5074, 5530, 7075, 7490, 875, 1440, 2568, 3668, 4882, 6082, 6886, 8069, 249, 1290, 3040, 3712, 4404, 6118, 6654, 7273, 610, 2035, 2623, 3890, 4225, 6087, 6506, 8235, 211, 1771, 2946, 3420, 4179, 6113, 6265, 7484, 150, 1255, 2503, 4145, 5012, 5997, 6663, 8129, 150, 1255, 2503, 3936, 5060, 5359, 6348, 8214, 887, 2008, 2943, 4150, 4952, 5935, 6633, 7367, 887, 2008, 2980, 3961, 4402, 6096, 6953, 7367, 386, 2033, 2791, 3488, 4612, 6142, 6891, 8006, 895, 1877, 2923, 3584, 4440, 5776, 6571, 7678, 895, 1641, 2894, 3669, 5010, 5589, 6848, 7881, 895, 1641, 2902, 3218, 4907, 6070, 6611, 7264, 887, 1682, 2993, 3543, 4662, 5719, 6517, 8247, 895, 1199, 2222, 3498, 4687, 5410, 7004, 7264, 887, 1682, 2361, 3675, 4517, 5685, 6603, 7412, 1090, 1682, 2716, 3787, 4723, 5968, 6256, 8266, 390, 2065, 2925, 3564, 5068, 5889, 6678, 7290, 183, 1139, 2340, 3704, 5045, 5730, 6850, 8260, 225, 1496, 2792, 3564, 4282, 5641, 7149, 7677, 228, 1426, 2542, 3994, 4549, 5573, 6901, 8061, 240, 1440, 3008, 3726, 5104, 5935, 6435, 7557, 419, 2000, 3043, 4071, 5038, 5811, 6291, 8260, 256, 2098, 2554, 4037, 5179, 5677, 7024, 8227, 225, 1147, 2340, 4125, 4890, 6221, 6579, 8076, 757, 2065, 2554, 3932, 4877, 5643, 6749, 7843, 171, 1490, 2560, 3873, 4414, 6149, 7160, 7915, 171, 2032, 2469, 3595, 4908, 6042, 6239, 7476, 984, 1503, 2985, 3645, 4993, 6103, 7090, 7261, 337, 2073, 2944, 3595, 4512, 5876, 7010, 8016, 132, 2017, 2991, 3803, 5080, 5678, 7217, 7583, 308, 1804, 2391, 4152, 5060, 5661, 6972, 7807, 1033, 1750, 2985, 3945, 4387, 6008, 6467, 8135, 840, 1271, 2966, 3979, 4631, 5359, 6247, 7916, 840, 1418, 2882, 3464, 4706, 5953, 6348, 7624, 1008, 1439, 2888, 3779, 4891, 5948, 6373, 7378, 547, 1850, 2580, 3385, 5083, 5917, 6546, 7626, 277, 1296, 2597, 3390, 4476, 5866, 7158, 7423, 277, 1296, 2693, 3498, 4197, 6019, 6517, 8081, 1001, 1674, 2155, 3288, 4816, 5621, 7129, 7869, 1008, 1146, 2784, 3707, 4552, 5925, 6436, 8146, 1008, 1326, 2258, 3334, 4291, 5567, 6614, 7263, 1016, 1326, 2525, 3653, 4474, 5702, 7023, 8005, 961, 1849, 2659, 3637, 4900, 5824, 6898, 7311, 1011, 2033, 3150, 3429, 4589, 5866, 6542, 7869, 1022, 1897, 2993, 3631, 5184, 5554, 7004, 7821, 1022, 1494, 2740, 3352, 4471, 5243, 6632, 7919, 779, 1660, 2803, 3388, 5183, 6007, 6776, 7344, 390, 1924, 3064, 3856, 5153, 5968, 6229, 7421, 390, 1998, 3143, 3176, 5106, 6175, 6734, 8179, 1056, 1675, 2989, 3540, 4551, 5378, 6668, 7723, 308, 1620, 3144, 3516, 5166, 5834, 7218, 7948, 1062, 2001, 2139, 3306, 4857, 5433, 6643, 8254, 643, 1542, 2727, 3420, 4787, 5433, 6525, 7290, 150, 1926, 2901, 3561, 4400, 5624, 6426, 8078, 271, 1469, 2628, 3878, 4834, 5728, 7221, 8222, 678, 2050, 3032, 3908, 4389, 5424, 7164, 7584, 610, 2035, 2820, 3557, 4634, 5204, 7230, 8213, 940, 1823, 2493, 3540, 4978, 5775, 6467, 7768, 512, 1620, 2746, 4174, 4713, 5968, 6771, 7753, 1097, 1523, 2493, 4166, 4781, 6211, 7168, 8179, 818, 1869, 2943, 3893, 5058, 5241, 6972, 8267, 142, 1528, 2803, 3825, 4704, 5832, 7239, 8260, 956, 2017, 2781, 4011, 4287, 5635, 7084, 7723, 956, 1804, 3117, 4114, 4888, 6085, 6786, 8267, 1099, 1998, 2880, 3982, 5104, 5705, 6996, 7570, 1099, 2001, 3135, 4108, 5060, 6211, 7218, 7806, 283, 1248, 2673, 3263, 5137, 5732, 7005, 8056, 1015, 1833, 2880, 3595, 4643, 6131, 6477, 7664, 1015, 1386, 2740, 3440, 5003, 6192, 6803, 8093, 859, 2091, 3135, 3188, 4289, 5413, 7044, 7727, 304, 1508, 2792, 3866, 5141, 5586, 7098, 8066, 266, 1407, 2553, 4053, 4880, 6160, 7042, 7752, 363, 1512, 2727, 3559, 4228, 5654, 6311, 7625, 1067, 1240, 2154, 3560, 4830, 6071, 6813, 8265, 271, 1490, 2240, 3937, 4533, 5523, 6224, 8232, 508, 2049, 2748, 3814, 4657, 6185, 6430, 7527, 465, 1609, 2881, 3847, 4799, 5447, 6403, 8172, 1101, 1183, 3029, 3380, 4824, 6042, 7115, 7542, 1101, 1212, 3029, 4052, 5084, 6190, 6403, 7955, 247, 1212, 3130, 3676, 4364, 5893, 6966, 7702, 993, 1154, 2171, 3175, 4364, 5483, 7072, 7955, 993, 2006, 2346, 4072, 4490, 5583, 6318, 7361, 884, 1794, 2436, 4142, 4604, 6016, 6466, 7906, 993, 1806, 2818, 3252, 4872, 6119, 7198, 7442, 993, 1806, 2987, 3165, 4872, 5443, 7198, 7442, 993, 1806, 2987, 3975, 4364, 5665, 6306, 7973, 1025, 1821, 3020, 3300, 4364, 5894, 6991, 8064, 610, 1238, 2440, 3351, 4650, 6051, 6948, 8188, 150, 1255, 2552, 3929, 5165, 5534, 6335, 8213, 150, 1255, 2440, 4082, 4780, 6085, 6358, 7513, 150, 1255, 2503, 3955, 4626, 5527, 6668, 7806, 887, 1771, 3020, 3899, 4954, 5548, 6688, 7627, 887, 1717, 2515, 3201, 4822, 5204, 7058, 7959, 663, 1350, 2340, 3492, 5110, 5968, 6771, 7717, 1020, 1596, 2945, 3340, 5124, 5594, 6410, 7367, 225, 1421, 2345, 3487, 4785, 5308, 6348, 7813, 225, 1171, 2808, 4097, 4470, 5674, 6947, 8052, 228, 1620, 2582, 3298, 4214, 5385, 7012, 8034, 211, 1809, 2843, 3298, 4949, 5580, 6704, 7918, 826, 1966, 2897, 3544, 4586, 5280, 6847, 7476, 993, 1472, 2348, 4010, 4745, 6119, 6684, 8231, 993, 1154, 2282, 4137, 4635, 5454, 6803, 7822, 1029, 2079, 2436, 3245, 4778, 6208, 7229, 7487, 1025, 1182, 3080, 3539, 4419, 5633, 7041, 7467, 1025, 1867, 2750, 3233, 4985, 5573, 6608, 7753, 1025, 1867, 2868, 3292, 5145, 5294, 6302, 7992, 1025, 1867, 3075, 3892, 4896, 5950, 6311, 7586, 1025, 1773, 2944, 3932, 4385, 5573, 7219, 7811, 1025, 1773, 2352, 3908, 5139, 5475, 7201, 7965, 829, 1183, 3066, 3957, 4745, 5769, 6520, 7779, 277, 1728, 2173, 3582, 5031, 6105, 7059, 7744, 508, 1146, 2690, 3154, 5161, 5566, 7186, 8250, 100, 2008, 2705, 3481, 4727, 5495, 6352, 7936, 390, 1897, 2726, 3681, 4781, 5811, 6722, 7547, 833, 1318, 2858, 3877, 4828, 5901, 6814, 7512, 1037, 1534, 2965, 4115, 5165, 5850, 6979, 7831, 980, 1705, 2858, 4041, 5145, 6033, 6404, 8060, 663, 1847, 2766, 4088, 5083, 5796, 6370, 8026, 778, 1873, 2965, 3690, 4428, 6114, 6517, 7875, 344, 2036, 2198, 3191, 5030, 5418, 7211, 7843, 277, 1808, 2363, 3880, 4195, 6218, 6533, 8259, 113, 1478, 2642, 4134, 4668, 5454, 6901, 7474, 1008, 1146, 3040, 3252, 4966, 5341, 7198, 7743, 1008, 1915, 2373, 3718, 4604, 5486, 6612, 7652, 1016, 2008, 2203, 4090, 4900, 5557, 7131, 8078, 1016, 2008, 2231, 4164, 4318, 5643, 6476, 7812, 504, 1469, 2348, 3877, 4720, 5717, 6945, 7702, 1011, 2008, 2344, 4098, 4379, 5655, 6663, 7492, 1011, 1469, 2797, 3886, 5044, 5869, 6893, 8222, 1022, 1469, 2642, 3403, 4586, 6119, 6579, 8041, 1016, 1440, 3106, 3388, 4273, 6070, 6998, 8098, 643, 1440, 2149, 3837, 4865, 5596, 7003, 7355, 887, 1682, 2493, 4128, 4310, 5902, 6669, 7753, 504, 1407, 3040, 3685, 4803, 5438, 6520, 8148, 951, 1543, 2360, 3240, 5141, 6213, 7208, 7852, 603, 1447, 2242, 3626, 4318, 6222, 6843, 8140, 484, 1673, 2992, 3634, 4533, 5641, 6980, 7341, 1051, 1110, 2715, 3361, 4179, 5694, 6338, 8126, 288, 1916, 2340, 3680, 5159, 6056, 7084, 8064, 552, 1508, 2960, 3516, 5157, 5540, 6612, 7641, 541, 1346, 2520, 3647, 4437, 5624, 6965, 8108, 346, 1848, 2559, 3394, 5075, 5787, 6345, 8049, 323, 1193, 2869, 3152, 4723, 5938, 6869, 7935, 793, 1708, 2344, 3394, 4421, 6194, 6412, 8239, 793, 1794, 2198, 3865, 4422, 6194, 6243, 7983, 1052, 1167, 2869, 3261, 4835, 5288, 6890, 7790, 807, 1349, 2995, 3700, 4716, 5325, 6993, 8036, 363, 1140, 2183, 3936, 4689, 5610, 7126, 8058, 465, 1397, 2626, 3511, 4785, 5428, 7043, 7578, 887, 1171, 2282, 3276, 4531, 5350, 6950, 8235, 850, 1676, 2247, 3472, 4334, 6131, 6286, 8093, 778, 1685, 2990, 3233, 4884, 6181, 6899, 7678, 104, 1110, 2436, 3480, 4966, 5700, 6269, 8265, 993, 1182, 3080, 3773, 4185, 5633, 6850, 8213, 1057, 2048, 2173, 4162, 5096, 5441, 6684, 7810, 895, 1838, 2173, 3298, 4197, 5733, 6306, 7850, 271, 1926, 2369, 4003, 4643, 5494, 6536, 7875, 569, 1440, 2261, 4016, 4390, 5627, 6932, 7756, 778, 1440, 2937, 3557, 4981, 5512, 6898, 7423, 887, 1439, 2400, 3681, 4395, 5305, 6651, 7634, 104, 1177, 3072, 3187, 4509, 6175, 6542, 8210, 1008, 1399, 2203, 3479, 4599, 5474, 6723, 7657, 826, 1727, 2348, 3727, 4364, 6190, 6755, 7934, 150, 2048, 2173, 3906, 4335, 5590, 6961, 7869, 150, 1581, 2232, 3796, 4364, 5550, 6436, 7508, 271, 1407, 2743, 3642, 5110, 6166, 6456, 7827, 641, 1463, 3112, 3979, 4381, 5475, 6556, 7880, 613, 1339, 2407, 3746, 5011, 5455, 7222, 7534, 228, 1138, 2346, 3161, 4949, 5587, 6311, 7627, 228, 1925, 2718, 3964, 5184, 5899, 6613, 7535, 1014, 2077, 2222, 3749, 5185, 6194, 7100, 8148, 317, 1797, 3026, 3961, 4546, 6065, 6840, 7898, 115, 1596, 2346, 3613, 5128, 6105, 6715, 7367, 104, 1463, 2261, 3582, 4949, 6194, 7118, 8232, 113, 2117, 2678, 3290, 5188, 6218, 6901, 7535, 993, 1327, 2389, 4072, 4203, 5393, 6981, 7527, 826, 1786, 2258, 3960, 4216, 5477, 6520, 7471, 1056, 1897, 2820, 3916, 4761, 5918, 7166, 7583, 390, 2063, 2980, 3516, 4215, 5210, 7164, 7676, 512, 1340, 2559, 3188, 4881, 6084, 7007, 7677, 980, 1560, 2932, 3909, 5073, 5590, 6604, 7782, 440, 1455, 2473, 4018, 4912, 5493, 6348, 7570, 572, 1804, 2720, 3155, 4343, 5926, 6637, 7936, 271, 1682, 2282, 3492, 4546, 5797, 6797, 8079, 895, 1826, 2482, 3356, 5042, 5837, 7215, 7625, 887, 1682, 2183, 3669, 4539, 5865, 7133, 7677, 956, 1881, 2936, 4093, 5038, 5459, 7090, 7887, 1097, 1620, 2730, 3891, 5085, 6195, 7230, 7485, 818, 2068, 3128, 4108, 4630, 5241, 7239, 8196, 984, 1620, 3135, 4011, 5038, 5219, 7239, 7908, 579, 1817, 3062, 3692, 5061, 6182, 6348, 8258, 293, 1424, 3062, 3401, 4345, 5408, 6576, 7941, 684, 1333, 2554, 3891, 5058, 5523, 7162, 7602, 160, 2065, 2484, 3175, 4364, 5938, 6903, 7668, 793, 1858, 3034, 3926, 5022, 5490, 6973, 8203, 535, 1139, 2429, 3721, 4321, 5884, 6963, 7490, 1040, 1557, 2248, 3688, 5124, 5972, 6932, 7894, 1003, 1778, 2436, 4156, 4259, 5938, 6540, 8259, 610, 1399, 3080, 3669, 4954, 5474, 7149, 7336, 887, 1978, 2429, 3630, 4536, 6000, 6809, 7971, 391, 2102, 2429, 3630, 4706, 5599, 6774, 7256, 831, 1778, 2429, 3161, 4966, 5836, 7149, 7965, 610, 1992, 2887, 4082, 4985, 6181, 6988, 7631, 390, 1280, 2163, 3487, 4598, 5641, 6774, 7887, 308, 2001, 2803, 3866, 5038, 5832, 7239, 8066, 555, 1945, 2315, 3188, 5088, 5901, 7201, 7876, 874, 2106, 3026, 4085, 4400, 5764, 6435, 7842, 568, 2060, 3026, 3798, 5036, 6109, 6872, 7964, 568, 2106, 2337, 4096, 4512, 6146, 7053, 7528, 541, 1736, 2656, 4103, 4869, 5573, 6348, 7570, 171, 1141, 2454, 3827, 4877, 6163, 6996, 7831, 484, 2106, 2806, 3932, 4877, 5385, 7207, 7677, 484, 2073, 3026, 3994, 4583, 5438, 6688, 7677, 552, 1141, 2473, 3226, 4782, 5372, 7043, 8261, 833, 1668, 3026, 3885, 4583, 5534, 7232, 7985, 752, 1139, 2492, 3621, 5194, 5893, 6889, 7476, 487, 1794, 2848, 3660, 4582, 5696, 6939, 7469, 620, 1397, 2238, 3413, 4795, 5536, 7154, 8043, 668, 1732, 3001, 3911, 4205, 5706, 6281, 8030, 692, 1570, 2751, 3818, 4678, 5547, 6465, 8060, 620, 1942, 2543, 4092, 5122, 6215, 7059, 8195, 1080, 1112, 2987, 3695, 4364, 6066, 7043, 7839, 981, 1834, 2901, 3749, 4629, 6217, 6642, 8060, 103, 1369, 2941, 3695, 5138, 5390, 6334, 8082, 103, 1678, 2858, 3162, 5148, 5441, 6674, 7958, 390, 1164, 3128, 3710, 5061, 5811, 7033, 8076, 1097, 1467, 3021, 4124, 5148, 5438, 7111, 8185, 555, 1147, 2957, 4145, 5106, 5219, 7132, 8209, 818, 1147, 2164, 4114, 5038, 5534, 6589, 8185, 488, 2017, 2991, 4071, 4624, 5705, 7077, 8179, 488, 1528, 2164, 3825, 5038, 6139, 7239, 7766, 488, 1528, 2914, 3893, 4624, 5635, 7124, 8223, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 3110, 3893, 4624, 6186, 7077, 7766, 488, 1622, 3065, 3893, 4624, 6139, 7077, 7766, 488, 1648, 2914, 3825, 4624, 6139, 7077, 7766, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 26, 5, 66, 63, 26, 30, 5, 76, 17, 54, 64, 5, 53, 20, 63, 5, 5, 3, 555, 2106, 2856, 3391, 4700, 5276, 6378, 8076, 555, 2065, 3015, 3827, 5134, 5241, 6752, 7732, 552, 2088, 2959, 3856, 4700, 6182, 6688, 8113, 488, 2065, 3143, 3803, 4704, 5892, 6515, 7485, 488, 1528, 2806, 4174, 4624, 5436, 6996, 8054, 1015, 2065, 2409, 4094, 4954, 6160, 6613, 7570, 1098, 2060, 2409, 3775, 4465, 5589, 6493, 7510, 515, 1278, 2378, 3596, 4176, 5817, 6963, 8138, 926, 2069, 3037, 3357, 5146, 6034, 6404, 8158, 491, 1438, 2487, 3755, 5001, 5734, 6226, 8097, 103, 2102, 2204, 3593, 4199, 5520, 6860, 8023, 914, 2097, 2498, 3250, 4966, 5436, 7222, 8067, 984, 1924, 2777, 3931, 5153, 6147, 6671, 7831, 555, 2032, 2792, 4145, 4888, 6051, 6852, 8107, 552, 2106, 2391, 3361, 5142, 6205, 6852, 8126, 579, 1601, 3133, 3827, 4549, 6085, 6467, 7538, 224, 1300, 2306, 4138, 4412, 5672, 6804, 7793, 568, 1435, 2468, 4138, 4224, 5926, 6790, 7341, 91, 2060, 2872, 3526, 5153, 5478, 6519, 7579, 473, 2097, 3068, 4150, 5153, 5865, 6477, 7799, 537, 1931, 2432, 3836, 4234, 5976, 6818, 8082, 942, 2030, 2740, 3973, 5198, 5834, 6348, 7927, 320, 1865, 2757, 3979, 5141, 6120, 6824, 7709, 313, 2009, 2409, 4063, 5000, 5833, 6224, 7856, 581, 1490, 2492, 4147, 4726, 5359, 6378, 7788, 581, 1627, 2187, 3765, 4465, 6126, 6485, 7651, 491, 1650, 2231, 3370, 5001, 5419, 6965, 7650, 1057, 1283, 2899, 3979, 4801, 5240, 7243, 7799, 1057, 1882, 2946, 3751, 4371, 6050, 6234, 7857, 103, 1250, 2902, 3751, 4558, 5658, 6809, 7962, 512, 2000, 2520, 4093, 4360, 5596, 7058, 7664, 308, 1218, 2792, 3803, 5080, 6129, 7023, 7664, 91, 1407, 2833, 4085, 4918, 5442, 7201, 7540, 1090, 1660, 2340, 4145, 4918, 6103, 7157, 7476, 1051, 1791, 2688, 3240, 4374, 5802, 7039, 7992, 645, 2064, 2860, 3240, 4993, 5899, 6351, 7497, 1090, 1874, 2737, 3904, 4690, 5565, 6540, 8130, 643, 1879, 2985, 4034, 4925, 5348, 6804, 8066, 299, 1848, 2165, 3509, 4242, 5671, 6857, 7298, 1067, 1880, 2757, 3561, 5148, 5724, 6990, 7312, 884, 1199, 2766, 3295, 5134, 5711, 6722, 7363, 386, 1865, 2687, 3194, 4542, 5700, 6942, 8176, 504, 1974, 3003, 3271, 4796, 5254, 6876, 7261, 643, 1935, 2661, 3430, 5129, 5686, 6941, 7677, 288, 1518, 2783, 3873, 4802, 5968, 6265, 7927, 684, 2000, 2444, 3955, 4589, 5981, 6515, 7992, 899, 2000, 3133, 3955, 4215, 5390, 6432, 8213, 654, 1252, 2660, 4125, 4595, 5749, 6840, 7252, 654, 1326, 3133, 3394, 4896, 5981, 7002, 8179, 654, 1345, 2752, 3605, 4486, 6147, 6612, 8061, 225, 1719, 3091, 3359, 4542, 5811, 6579, 7570, 654, 1345, 2752, 4025, 4687, 5963, 6895, 7723, 228, 2060, 2221, 3812, 5138, 6110, 6901, 7563, 617, 1853, 3026, 3711, 4687, 5381, 6740, 7906, 945, 2097, 3144, 4145, 5138, 5514, 7103, 7477, 860, 1528, 2806, 3803, 4583, 6110, 6612, 8083, 488, 1528, 2221, 3803, 4583, 5689, 7077, 8237, 818, 2017, 2914, 3893, 4624, 5241, 6972, 7715, 510, 1791, 3135, 3886, 5080, 5832, 6996, 7766, 408, 1534, 2292, 3918, 4215, 5899, 6996, 8083, 223, 2020, 2989, 3866, 4619, 5834, 7230, 7846, 1011, 1869, 3053, 3527, 4533, 6171, 7006, 7263, 864, 2035, 2972, 4082, 4593, 5781, 6493, 8226, 864, 1861, 2553, 3508, 4748, 5418, 6333, 7900, 1029, 1134, 2481, 4115, 4350, 5464, 6811, 7893, 150, 1520, 2490, 3840, 4518, 5663, 6930, 7611, 643, 1880, 2916, 3909, 4966, 6087, 6522, 7887, 887, 2100, 2490, 3639, 4575, 5834, 6667, 7469, 887, 1843, 2373, 4075, 4773, 5332, 6346, 7263, 150, 1916, 3150, 3868, 4753, 5761, 7217, 8170, 738, 1499, 2373, 3598, 5106, 5833, 6586, 7958, 150, 1902, 2222, 3468, 4752, 5421, 6377, 8091, 887, 1867, 3107, 4095, 4365, 5543, 6834, 7988, 100, 1369, 2810, 3514, 5129, 6100, 6405, 7439, 1030, 1141, 2944, 3271, 4279, 6021, 6770, 7835, 770, 1786, 2555, 3357, 4553, 5263, 7017, 8163, 693, 1758, 2737, 3895, 4426, 5804, 6678, 8140, 770, 1758, 2915, 3901, 4447, 5904, 6629, 8246, 91, 1984, 2915, 3873, 4669, 5439, 6603, 7250, 171, 1660, 2582, 3152, 4553, 5981, 6830, 7846, 484, 1992, 2946, 3891, 4630, 6085, 6891, 7962, 935, 2111, 2947, 3866, 5088, 5630, 7120, 8066, 818, 2111, 3110, 4115, 5060, 6085, 7111, 8260, 488, 2017, 2781, 3803, 4912, 6081, 6515, 7723, 818, 2017, 2914, 3893, 4888, 5630, 7226, 8196, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 818, 2017, 3065, 3825, 4888, 5635, 6794, 8196, 488, 1528, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6081, 7124, 7766, 915, 2111, 2164, 3825, 4798, 5635, 6996, 7485, 488, 1648, 2806, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 75, 33, 63, 47, 5, 76, 33, 52, 5, 5, 5, 53, 11, 63, 42, 35, 44, 66, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5901, 6794, 8147, 488, 2017, 3117, 3367, 4624, 5901, 7201, 8147, 256, 1750, 3110, 4174, 4890, 6149, 6607, 7717, 165, 1596, 2656, 3778, 4486, 6048, 6715, 8182, 391, 1373, 2693, 3226, 4611, 5935, 7095, 7761, 735, 1479, 2788, 3292, 5135, 5955, 6623, 7675, 509, 2118, 2146, 3292, 4702, 5218, 6923, 7461, 888, 1283, 2146, 4122, 5144, 5224, 6470, 8182, 888, 1498, 2487, 4009, 4311, 5509, 6284, 7497, 1006, 1323, 2552, 3830, 4688, 6149, 6345, 7261, 1067, 1758, 2136, 4019, 4325, 5429, 6633, 8036, 1064, 1832, 2952, 4123, 4199, 5767, 6408, 7498, 547, 1758, 2607, 3998, 4890, 6070, 6876, 7810, 271, 1373, 2419, 4095, 5125, 5951, 6632, 7973, 716, 1164, 2543, 3444, 4777, 5246, 6736, 7776, 271, 2072, 2156, 3410, 5115, 5246, 6550, 8169, 504, 1397, 2311, 3237, 5032, 5865, 6410, 7625, 386, 1806, 2377, 3316, 5193, 5921, 6340, 7751, 504, 1732, 2659, 4103, 4900, 5296, 6377, 7962, 271, 1794, 2492, 4103, 5166, 5482, 6592, 7383, 895, 1721, 2436, 3669, 5127, 5705, 7012, 7721, 887, 2033, 2207, 3478, 4641, 5431, 6566, 7309, 887, 1897, 3092, 3442, 4221, 5777, 6247, 7838, 1090, 1660, 2189, 3962, 4215, 5910, 6412, 7256, 390, 1881, 2586, 3681, 5106, 5761, 6988, 8185, 308, 2068, 3108, 4018, 4181, 6182, 7098, 8093, 1056, 1939, 3135, 3982, 5058, 5968, 6852, 7290, 360, 1965, 2732, 3760, 5127, 5572, 6760, 7597, 1067, 1914, 2786, 3427, 4595, 5898, 7160, 7537, 277, 2009, 3151, 4139, 4385, 5782, 7234, 8189, 876, 1489, 2515, 3874, 4321, 5745, 6478, 8253, 480, 1557, 3039, 4096, 5074, 5950, 6313, 8210, 407, 1472, 2678, 3394, 4434, 6119, 6919, 7917, 1100, 1171, 3116, 3394, 5124, 5703, 6606, 7796, 995, 1728, 2282, 3232, 4945, 5874, 6549, 7932, 778, 2105, 2497, 3525, 4321, 5847, 7143, 8006, 1003, 1799, 2345, 3769, 5183, 5512, 6276, 7611, 235, 1740, 3061, 3764, 4409, 6183, 6741, 8163, 508, 1183, 3101, 3221, 4896, 6107, 6606, 7515, 1067, 1183, 2161, 3409, 4459, 6021, 6611, 7625, 826, 1183, 2688, 4073, 4928, 5408, 7150, 7997, 1035, 1499, 3074, 3619, 4237, 5415, 6348, 8145, 150, 1227, 2476, 4099, 4361, 6147, 6579, 7752, 1033, 1360, 2610, 3740, 4651, 5297, 6584, 8266, 401, 1306, 2582, 3201, 5165, 5899, 7162, 7421, 731, 1994, 2314, 3826, 4494, 5978, 6349, 7631, 1025, 1797, 2783, 3649, 4867, 5901, 7152, 8237, 223, 1721, 3001, 3949, 4822, 6195, 6579, 8107, 650, 1721, 2780, 3610, 4374, 6007, 6579, 7555, 650, 1771, 2936, 3728, 4955, 5548, 7047, 8245, 540, 2050, 2840, 3773, 4809, 5856, 6995, 7476, 1070, 2050, 2573, 3619, 4462, 6118, 6685, 8171, 360, 1183, 2642, 3475, 4552, 5347, 6873, 8023, 660, 1183, 2835, 3859, 4196, 5443, 6873, 8259, 1040, 1183, 2430, 3979, 5154, 5408, 6737, 7416, 459, 1725, 2273, 3967, 4185, 5512, 7213, 7515, 492, 1524, 3129, 3214, 4738, 5477, 6262, 8050, 113, 1855, 2173, 3764, 5041, 5354, 6476, 8095, 485, 1581, 2296, 3261, 4499, 5532, 6945, 7904, 988, 1183, 2260, 3429, 4520, 5874, 7140, 8050, 942, 1503, 2757, 3949, 4730, 6135, 7000, 7825, 1033, 1972, 2273, 3727, 4670, 5594, 6255, 8155, 1090, 1146, 3061, 3916, 5020, 5344, 7118, 7403, 940, 1978, 2534, 3918, 4200, 5534, 6884, 7582, 571, 1322, 2360, 3803, 5098, 5221, 6677, 8236, 510, 1407, 3144, 3253, 4589, 6063, 6996, 7906, 571, 1827, 2793, 3226, 5145, 5687, 6642, 7570, 100, 1810, 2592, 3581, 4872, 5984, 7202, 7922, 1090, 2107, 2470, 4064, 4346, 5883, 6717, 7631, 569, 2125, 2436, 3963, 4324, 5574, 7194, 7939, 974, 1512, 2232, 3430, 4949, 5574, 7020, 8111, 993, 1455, 2128, 3669, 4609, 5721, 6870, 8061, 802, 1125, 2440, 3610, 4620, 6135, 7168, 8007, 150, 1510, 3020, 3273, 4683, 5603, 6672, 7684, 504, 1302, 2188, 3446, 4716, 5622, 7188, 7250, 386, 1286, 3053, 3824, 4589, 6014, 6892, 7948, 216, 1668, 2210, 4085, 4573, 6128, 7217, 8245, 779, 1761, 2944, 3931, 5096, 5924, 6852, 7641, 512, 1508, 2943, 3467, 4713, 5616, 7047, 7716, 186, 1705, 3135, 3990, 5058, 6129, 6589, 8080, 1099, 2017, 2960, 4174, 4782, 6129, 7084, 8076, 757, 1937, 3097, 3183, 4287, 6117, 6526, 7908, 337, 1974, 2608, 3994, 5115, 6211, 7017, 7876, 142, 1528, 2960, 3827, 4704, 5705, 7239, 7876, 860, 1528, 3135, 3825, 5080, 6139, 7084, 8260, 142, 1528, 2914, 3825, 4704, 5635, 7077, 7949, 488, 1622, 2806, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 17, 75, 5, 43, 11, 63, 66, 64, 66, 63, 27, 44, 55, 5, 28, 77, 73, 66, 47, 5, 5, 3, 915, 1695, 3150, 3891, 4681, 5493, 6677, 8126, 915, 1974, 2833, 3391, 4387, 5767, 7120, 7421, 488, 1528, 2833, 3893, 4624, 5241, 7120, 7715, 142, 1528, 2806, 3825, 4704, 5241, 7077, 8223, 142, 1528, 2806, 3893, 4624, 6186, 7226, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 3065, 3891, 4798, 6186, 6688, 8196, 915, 1528, 2970, 3891, 4555, 5767, 6589, 8080, 475, 2111, 3147, 3434, 5060, 5677, 6607, 7664, 335, 1370, 2951, 3533, 5122, 5721, 6849, 8261, 952, 1421, 2678, 3831, 4936, 5865, 6260, 8061, 211, 1238, 2241, 3961, 4387, 5865, 6987, 7846, 650, 1771, 2429, 3480, 5143, 6131, 7220, 7508, 1090, 1335, 2783, 3973, 5159, 6085, 7160, 7991, 610, 1306, 3080, 3484, 4536, 6044, 6512, 7441, 857, 1601, 2697, 3771, 5107, 5220, 6515, 8078, 803, 1915, 2678, 3165, 4490, 5474, 6798, 7437, 1074, 1346, 2762, 3224, 4689, 6086, 6614, 7980, 1067, 1865, 3106, 4137, 4855, 5262, 6271, 7855, 132, 1209, 2860, 3964, 4387, 5901, 7207, 8203, 779, 2000, 2880, 3899, 5129, 6211, 7218, 7591, 899, 2041, 2833, 3359, 5115, 5555, 7103, 8126, 878, 1597, 2925, 3470, 4337, 6137, 7047, 7707, 272, 1873, 2880, 3533, 4970, 5625, 6649, 8213, 405, 2097, 2970, 3918, 4589, 5540, 6540, 7706, 1047, 1199, 2356, 3910, 4521, 5911, 6740, 7901, 980, 1582, 2612, 3391, 5115, 5598, 6918, 7799, 373, 1829, 2703, 3314, 5007, 5677, 6980, 8188, 776, 1867, 2173, 3543, 4685, 5767, 6889, 7525, 1005, 2050, 2779, 3505, 4831, 5598, 6478, 7529, 873, 1489, 2636, 4110, 4716, 5223, 6659, 7756, 1003, 1778, 2869, 4167, 4865, 5997, 6529, 7918, 113, 1179, 2716, 3760, 4709, 5620, 6251, 7575, 895, 1407, 2990, 3813, 4367, 5787, 6741, 7690, 1052, 1972, 2146, 3742, 5184, 5658, 7080, 7966, 569, 1199, 2974, 3191, 4806, 5350, 6523, 7450, 1003, 1199, 2580, 4067, 4451, 5410, 6956, 8105, 1057, 1199, 2449, 3840, 4592, 5716, 6741, 7546, 373, 1978, 3103, 3901, 5160, 5535, 6354, 7602, 390, 1913, 2925, 3891, 4387, 6024, 6980, 7570, 915, 2046, 2989, 4145, 4276, 6103, 7120, 7770, 186, 2041, 2925, 3932, 5060, 6081, 6786, 8179, 475, 1961, 3006, 3749, 4700, 6085, 7218, 8066, 518, 1961, 3064, 3746, 4918, 6097, 7006, 7887, 654, 1858, 2473, 3592, 4870, 5586, 7103, 8179, 225, 2060, 3091, 3550, 4387, 5689, 6584, 7677, 225, 1689, 2959, 3798, 5179, 5795, 6584, 7297, 654, 1283, 2626, 3574, 4890, 5730, 6291, 7303, 228, 1853, 2593, 3518, 4664, 5811, 6786, 7557, 228, 1750, 2860, 3933, 4916, 5514, 7082, 8076, 419, 2078, 2858, 3518, 5138, 6139, 7181, 8130, 419, 2017, 2858, 3367, 4555, 5413, 7226, 7838, 256, 2078, 3064, 3851, 4863, 6175, 6677, 7537, 317, 2127, 2468, 4026, 4555, 5935, 6740, 7477, 183, 1623, 2370, 3838, 5125, 5350, 7006, 7303, 948, 1283, 3075, 3540, 5134, 5216, 6883, 7716, 784, 1388, 2128, 3446, 5052, 5512, 6563, 8050, 536, 1510, 2232, 4079, 4205, 5481, 6651, 7980, 113, 1139, 2378, 3442, 5109, 6218, 6834, 8254, 1057, 1239, 2564, 3581, 4705, 6042, 6614, 7701, 692, 1724, 2564, 3634, 4736, 5444, 6456, 7394, 938, 2060, 2751, 3964, 4796, 5503, 7002, 7301, 1005, 1369, 2905, 3943, 4381, 5450, 6740, 8249, 1024, 1742, 2905, 3706, 4821, 5918, 7064, 8203, 1024, 1736, 2149, 3943, 5194, 5308, 6676, 7621, 913, 1209, 2848, 3857, 4966, 5538, 6961, 7799, 913, 1510, 2238, 3424, 4204, 5536, 6828, 8213, 692, 1510, 2980, 4143, 4415, 6076, 6443, 7620, 569, 1695, 2741, 3741, 4360, 5761, 7135, 8199, 807, 1182, 2210, 3850, 4602, 5695, 7237, 7822, 610, 1397, 2601, 3430, 4627, 5827, 7012, 7974, 1090, 1315, 2783, 3258, 4934, 5950, 6354, 7764, 391, 1780, 2129, 3955, 5098, 6096, 6402, 8234, 104, 1827, 2750, 3660, 5166, 5532, 7198, 7958, 1025, 1685, 2436, 3338, 5184, 5260, 7230, 7555, 610, 1238, 2946, 3634, 4179, 5314, 6593, 7664, 1090, 1978, 2946, 3493, 5180, 5797, 6852, 7481, 663, 1577, 2534, 3892, 4536, 5981, 7037, 8080, 779, 1402, 2925, 4035, 5104, 5978, 7010, 7704, 1099, 1812, 3128, 3886, 4551, 6103, 6979, 7706, 308, 1998, 2960, 4108, 5104, 6175, 7239, 7631, 1079, 1218, 2949, 3361, 4782, 6007, 7239, 7949, 308, 1750, 2989, 4108, 5080, 6129, 7095, 7641, 759, 1198, 2809, 3665, 4231, 5974, 6234, 7927, 1052, 1732, 2740, 3605, 4371, 5749, 7150, 7528, 1040, 1806, 2601, 3741, 5098, 5794, 6377, 8189, 850, 1289, 2232, 3695, 4218, 5341, 6720, 7317, 986, 1250, 2921, 3764, 4586, 5523, 6614, 7336, 880, 1732, 2564, 3580, 5051, 5745, 6708, 7892, 778, 1586, 2210, 3943, 4876, 5840, 6348, 7616, 1090, 1821, 2293, 3391, 5007, 5767, 6715, 7723, 970, 2059, 2992, 3811, 4218, 5995, 6732, 7394, 980, 1280, 2564, 4074, 4555, 5534, 6719, 7559, 779, 2001, 3026, 3961, 5084, 6051, 7023, 8185, 171, 1182, 3026, 3776, 4598, 5981, 7120, 7291, 859, 1510, 2212, 3838, 4681, 5694, 6765, 7476, 552, 2045, 3021, 3917, 5150, 6123, 7090, 8126, 757, 1668, 2629, 3943, 4580, 5433, 7103, 7804, 757, 1108, 2833, 3671, 4870, 5218, 6382, 7664, 1037, 1684, 2946, 3434, 4306, 6163, 7220, 8185, 980, 1281, 2941, 3374, 5000, 5954, 6889, 7549, 678, 1878, 2166, 3434, 4358, 5730, 6755, 7648, 397, 1350, 2941, 3812, 4667, 6187, 7118, 7487, 913, 1706, 2945, 3213, 4949, 5276, 6883, 7664, 970, 2034, 2885, 3166, 4340, 5923, 6893, 8033, 545, 1363, 2885, 3939, 4353, 5223, 6663, 8006, 103, 1956, 2718, 4007, 4966, 5745, 6592, 7466, 103, 1397, 2167, 4147, 4911, 5549, 6301, 7288, 981, 1164, 2728, 3751, 4949, 5797, 6733, 7494, 103, 1562, 2941, 3751, 4437, 5937, 6483, 8164, 103, 1280, 2941, 3908, 5006, 5811, 7168, 7819, 427, 1867, 2610, 3391, 4555, 5838, 7157, 7759, 510, 1623, 2803, 3929, 5040, 5901, 6443, 7383, 555, 1623, 2947, 3873, 5104, 6181, 7084, 8132, 488, 1998, 3008, 3886, 4704, 5981, 7218, 8076, 488, 1528, 3008, 3886, 4624, 5832, 6972, 8179, 488, 1622, 2806, 3893, 4888, 6139, 6794, 8260, 818, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 16, 54, 30, 5, 75, 14, 54, 44, 65, 66, 5, 44, 54, 5, 16, 5, 41, 52, 14, 65, 5, 17, 75, 5, 41, 26, 35, 5, 5, 3, 859, 1332, 2349, 4124, 5053, 6112, 7165, 7962, 555, 1564, 2792, 3662, 4985, 5241, 6677, 7706, 142, 1622, 2949, 3825, 5060, 5241, 6709, 8237, 186, 1791, 3110, 4071, 4822, 5241, 7239, 8080, 1084, 1672, 2542, 3761, 4235, 6222, 7085, 8240, 441, 1605, 2761, 3770, 4200, 5368, 7243, 7275, 441, 1240, 2341, 3566, 5130, 5903, 6506, 7943, 441, 1450, 2294, 4045, 5130, 5321, 6299, 7515, 722, 1450, 2172, 3443, 4713, 5734, 7131, 7688, 767, 1412, 2721, 3642, 4179, 5914, 7033, 7480, 767, 1871, 2741, 3821, 4311, 5221, 6302, 7687, 767, 2019, 2349, 3692, 4985, 5824, 6677, 8205, 767, 1640, 2868, 3605, 4829, 6144, 6515, 8236, 335, 1415, 2741, 3554, 4586, 5515, 6859, 7807, 391, 2020, 2855, 3390, 5104, 6058, 6760, 7706, 940, 1797, 2766, 3430, 5061, 5641, 7129, 8076, 678, 2033, 3026, 3982, 5061, 5858, 7086, 8066, 211, 1956, 2895, 4065, 4554, 5661, 7220, 7889, 940, 1523, 2868, 3686, 4622, 5485, 7154, 7919, 645, 1707, 2436, 3776, 5115, 5624, 7162, 7815, 1047, 1956, 2737, 4096, 4512, 5589, 6627, 7405, 448, 1141, 2473, 3679, 4543, 5971, 7228, 7899, 868, 1697, 2940, 3949, 4486, 6183, 7148, 7259, 805, 1159, 2788, 3483, 4903, 5233, 6912, 7603, 179, 1420, 2486, 3371, 4937, 6157, 6849, 8001, 714, 1241, 2222, 3882, 4310, 5256, 6482, 7580, 835, 2110, 3040, 3463, 5069, 5841, 6905, 7745, 692, 1206, 2643, 3429, 5151, 5598, 6787, 7787, 862, 1278, 2325, 3390, 5036, 5958, 6637, 7821, 884, 1356, 2665, 3912, 4893, 5414, 6224, 7529, 1090, 1594, 2856, 3271, 4539, 5306, 6516, 7952, 887, 2033, 2729, 3334, 4437, 5477, 6404, 7870, 887, 1771, 2315, 3201, 4386, 6096, 6677, 7936, 807, 1770, 2332, 3248, 5193, 5811, 7192, 7604, 582, 1564, 2728, 3538, 4982, 5579, 6913, 7387, 1084, 1118, 2751, 3706, 4884, 6065, 6579, 7584, 103, 1120, 2920, 3752, 4881, 5223, 6734, 8132, 986, 2024, 2349, 3424, 4952, 5923, 6918, 7785, 103, 1350, 2980, 3991, 4801, 5810, 6540, 7494, 913, 2125, 2751, 3917, 4214, 5960, 6918, 8189, 951, 1782, 2244, 3968, 4784, 5811, 7007, 8132, 617, 2021, 3021, 3424, 5183, 5968, 6314, 7999, 757, 1570, 3003, 4011, 4638, 5706, 6283, 7855, 568, 1633, 2454, 4145, 5072, 5935, 7010, 7563, 183, 1269, 2542, 4089, 5075, 5963, 7041, 7386, 183, 1623, 2833, 4006, 4267, 5719, 6607, 7549, 183, 2127, 3065, 3623, 4863, 5719, 6677, 8102, 183, 1851, 3064, 3234, 4622, 5719, 6371, 7303, 256, 1633, 2529, 4071, 4555, 5413, 6589, 8261, 789, 1623, 2970, 4092, 5134, 5493, 7006, 7723, 419, 1623, 2941, 3374, 4704, 5515, 6996, 7563, 105, 2017, 2858, 3171, 4687, 5550, 6604, 8164, 356, 1827, 2838, 3994, 4859, 5586, 6584, 7488, 402, 1915, 2544, 4015, 4844, 5875, 6717, 8085, 1036, 1938, 2937, 3767, 4934, 5257, 6512, 8046, 728, 1806, 2638, 3444, 5022, 5534, 6304, 8078, 668, 1326, 2239, 4080, 4395, 6016, 6807, 7728, 216, 1763, 2254, 3967, 4609, 5752, 7065, 7856, 731, 2095, 2391, 3259, 4609, 5485, 6570, 7677, 223, 2095, 2796, 4083, 4536, 5344, 6235, 7965, 1080, 1509, 2775, 3605, 4913, 6068, 6870, 8112, 975, 1547, 2775, 3605, 4478, 6089, 6762, 8167, 840, 2095, 2163, 3558, 4406, 5435, 6768, 8212, 643, 1812, 2207, 4126, 4828, 5702, 6762, 7574, 405, 1897, 2515, 3915, 5058, 6025, 7019, 8184, 789, 1525, 2703, 3987, 5153, 5413, 6849, 8076, 440, 1623, 2880, 4151, 4387, 5978, 6671, 8249, 256, 1175, 3080, 4114, 4398, 5702, 7084, 7384, 789, 2078, 2946, 4113, 4529, 5723, 7201, 7948, 256, 1750, 2944, 4166, 5106, 5723, 7098, 8061, 256, 1623, 3007, 3364, 4555, 6175, 6612, 7876, 256, 1937, 2468, 3680, 4776, 6181, 7114, 7660, 789, 1937, 2905, 3394, 4863, 6015, 7090, 7838, 789, 1623, 2468, 4166, 4775, 6149, 7098, 7786, 356, 1876, 2838, 4171, 4374, 5413, 7006, 7570, 1033, 1831, 3145, 3709, 4872, 5777, 6630, 8210, 1033, 1338, 2866, 3779, 4955, 5408, 6352, 7667, 840, 1843, 2173, 3314, 4380, 6002, 6639, 7933, 302, 1183, 2937, 3187, 4927, 5512, 6569, 7329, 459, 1293, 2589, 3420, 4314, 5579, 6308, 7760, 326, 1605, 3061, 3394, 4604, 5535, 6255, 7899, 620, 2059, 2612, 3936, 4326, 6041, 7071, 7837, 175, 1217, 2748, 3227, 4665, 5800, 7227, 7849, 857, 1992, 2221, 3277, 4734, 6002, 6721, 8076, 211, 1992, 2899, 4028, 4912, 5200, 7085, 7768, 715, 1286, 2895, 3413, 4945, 5784, 6961, 7957, 308, 1684, 2586, 3909, 4622, 6087, 7129, 7383, 859, 1945, 2874, 4145, 5143, 5385, 6584, 7485, 617, 2013, 2806, 4089, 4877, 5767, 7069, 8078, 568, 1958, 2395, 4078, 5159, 6110, 6677, 7896, 334, 1286, 2282, 4132, 4675, 5441, 6501, 7344, 334, 1286, 2880, 3470, 5043, 5296, 6224, 7677, 118, 1112, 2775, 3928, 4983, 5550, 6231, 7252, 568, 1652, 2740, 3359, 4539, 5298, 7232, 7602, 757, 1269, 2341, 4015, 4700, 6149, 6576, 8170, 859, 1510, 3150, 3391, 4985, 5863, 6579, 7732, 914, 1684, 2729, 3226, 5159, 6149, 6677, 7664, 778, 1711, 2732, 4018, 4555, 5413, 7168, 8170, 556, 1835, 2810, 3474, 4942, 6135, 6470, 7410, 1080, 1589, 2763, 4038, 4199, 5567, 6838, 7582, 235, 1812, 2892, 3420, 5100, 5746, 7140, 8214, 756, 1893, 2988, 3793, 5145, 5314, 6580, 7906, 256, 1724, 2636, 3407, 5148, 5254, 6719, 8129, 518, 2097, 2481, 4115, 4303, 5624, 6574, 7941, 878, 1304, 2554, 4145, 4529, 5661, 6781, 8132, 440, 2106, 3007, 4006, 5128, 5987, 6774, 8179, 256, 1851, 3109, 3886, 5165, 5723, 6752, 7677, 256, 1992, 3109, 3932, 4387, 5641, 7232, 8185, 256, 1490, 2729, 4011, 4398, 6205, 7157, 8054, 878, 1851, 2970, 4145, 5166, 6103, 6348, 8179, 256, 1998, 3147, 3982, 5166, 6142, 7168, 8262, 1084, 1773, 2163, 4153, 4923, 5220, 7232, 7857, 360, 2050, 2257, 3979, 5010, 5510, 6497, 8192, 249, 2050, 2577, 3849, 4962, 5347, 7018, 7592, 179, 1135, 2373, 3486, 4283, 6116, 6875, 7398, 327, 1352, 2301, 3580, 4495, 5224, 6403, 7694, 310, 1376, 2896, 3167, 5177, 5224, 6538, 7930, 492, 1596, 2347, 3690, 4604, 5624, 7232, 7755, 293, 1553, 3029, 3788, 4634, 6080, 6672, 7839, 692, 1826, 2260, 3830, 4943, 5823, 7202, 7842, 844, 1886, 3041, 3741, 4447, 5631, 6932, 7401, 1011, 1510, 2998, 3214, 4564, 5512, 6547, 7591, 585, 2102, 2997, 3417, 4364, 5222, 6948, 7980, 643, 1286, 2971, 3413, 4197, 5574, 7159, 7508, 103, 1867, 2941, 3591, 4356, 5869, 6849, 7846, 1091, 1882, 2669, 3581, 4415, 5844, 6840, 8035, 103, 1747, 2941, 3591, 4635, 5693, 6847, 8086, 603, 1992, 2755, 3424, 4651, 5503, 6328, 7481, 693, 1286, 2593, 3908, 4541, 5255, 6760, 7498, 603, 1876, 3003, 3570, 4305, 5694, 6894, 7939, 770, 1510, 2356, 4083, 4557, 6062, 7067, 7576, 235, 1510, 2972, 3332, 5198, 5759, 6348, 8041, 235, 1510, 2941, 3687, 4441, 5624, 7156, 8055, 91, 1780, 2669, 3570, 4279, 5732, 6646, 8172, 730, 1108, 2378, 3654, 4432, 5796, 6602, 7423, 827, 1884, 2841, 3187, 4472, 5316, 6955, 7708, 272, 1455, 2378, 4017, 5154, 5684, 6741, 7804, 663, 1108, 2899, 3711, 5167, 5565, 6969, 7808, 403, 2114, 2980, 4053, 4875, 5276, 6901, 8195, 914, 1510, 2943, 3564, 5153, 5409, 6474, 7895, 1097, 2065, 2946, 3994, 4529, 5694, 7201, 7948, 488, 2065, 2946, 3825, 4387, 5963, 7006, 7949, 142, 2017, 2914, 4071, 5038, 6186, 7239, 8147, 818, 2017, 3135, 4071, 4888, 6081, 7084, 8223, 488, 1528, 2914, 3893, 4624, 6139, 7077, 8223, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 33, 75, 35, 47, 5, 42, 17, 54, 5, 31, 14, 66, 5, 51, 69, 30, 5, 28, 48, 5, 28, 63, 20, 66, 5, 66, 73, 5, 28, 33, 63, 5, 16, 62, 11, 54, 5, 31, 16, 5, 66, 63, 33, 54, 29, 44, 78, 5, 5, 3, 234, 1958, 2584, 3172, 5010, 5594, 6567, 7418, 862, 1807, 3127, 3574, 4358, 6032, 6241, 7277, 994, 1685, 2464, 3235, 4885, 5830, 6683, 7812, 137, 1411, 2280, 3315, 4715, 5650, 6339, 7630, 458, 1269, 2546, 3883, 4929, 5957, 6569, 7692, 123, 1420, 2271, 3556, 4713, 5908, 6846, 7973, 930, 1479, 2552, 3757, 5124, 6098, 6921, 7373, 262, 1969, 2436, 4118, 4306, 5662, 6597, 7702, 779, 1865, 2998, 3873, 4770, 6147, 6975, 7770, 779, 1856, 2946, 3873, 4428, 6171, 6953, 8034, 401, 2063, 3095, 4166, 4551, 6146, 7058, 7948, 571, 1831, 3007, 3987, 5061, 5953, 7071, 8261, 779, 1449, 2783, 4085, 5060, 5678, 6734, 7715, 959, 1845, 2838, 3945, 4987, 5963, 6809, 8260, 304, 2127, 2473, 4085, 5165, 5543, 7094, 7838, 512, 1933, 3006, 3917, 5060, 5832, 7237, 8260, 1102, 1668, 3095, 3904, 4603, 6110, 7221, 7957, 731, 1949, 2971, 3188, 4512, 5493, 6551, 7872, 331, 2090, 2904, 3385, 4988, 5802, 6929, 7488, 767, 1585, 2977, 3879, 4538, 6007, 7232, 7957, 1064, 1450, 2608, 3513, 5017, 5947, 6605, 8266, 930, 1970, 2511, 3269, 5045, 5784, 6362, 7913, 1098, 1758, 2484, 3304, 4338, 5830, 6431, 7602, 404, 1510, 2601, 3433, 4590, 5884, 6447, 8047, 922, 1695, 2298, 4096, 4594, 5357, 6526, 7311, 582, 1942, 2867, 3363, 4872, 5373, 6719, 7415, 545, 1210, 2867, 4162, 4989, 5773, 7183, 7986, 545, 1339, 2867, 3679, 4774, 5821, 6307, 7828, 304, 1889, 2268, 4145, 4753, 5318, 7129, 7750, 512, 1778, 3098, 3488, 4360, 5866, 6589, 7865, 304, 1797, 2803, 4115, 4859, 6175, 6776, 7816, 304, 1407, 2775, 4150, 4780, 6085, 6809, 7664, 684, 1455, 2925, 4039, 5104, 6007, 7084, 7723, 952, 1601, 2918, 3983, 4586, 5360, 6291, 8266, 653, 1688, 2258, 3904, 5168, 5840, 6898, 7785, 498, 1858, 2990, 3395, 4611, 5716, 7142, 8190, 200, 1408, 2271, 3306, 4327, 5982, 6340, 7660, 835, 1735, 2515, 3254, 4506, 5353, 7118, 7298, 428, 1720, 3073, 3601, 4506, 6082, 7072, 8041, 1036, 1852, 2612, 3290, 4246, 6135, 6519, 7364, 234, 1547, 2505, 3384, 5193, 5787, 6568, 8149, 1101, 1302, 3040, 3306, 5093, 5443, 7086, 7329, 840, 1183, 2744, 3772, 5111, 5970, 6918, 8000, 360, 1554, 2505, 3416, 4728, 5999, 6422, 8038, 763, 2061, 3047, 4137, 4995, 5589, 6293, 7512, 465, 1828, 3078, 3510, 4364, 5535, 6313, 8170, 465, 1609, 2310, 3885, 4567, 5480, 6453, 7503, 1057, 2008, 2293, 3326, 4654, 5918, 6333, 8252, 610, 2008, 2293, 3978, 4604, 5564, 6932, 7951, 1025, 1637, 2740, 4027, 5061, 5836, 7239, 7631, 643, 1633, 2727, 3955, 4690, 5721, 6966, 7563, 504, 1797, 2439, 3680, 4387, 5652, 6376, 7341, 1024, 1865, 2887, 3956, 4536, 5586, 7059, 7311, 942, 1669, 2868, 3558, 4513, 5589, 7104, 8126, 223, 2102, 3080, 3468, 4536, 5730, 6251, 7423, 1033, 1244, 2677, 3229, 5075, 6146, 6850, 8047, 223, 2102, 2265, 3499, 4191, 5761, 6569, 8126, 942, 1669, 2868, 3771, 4748, 5225, 7010, 7677, 668, 1865, 2505, 3737, 5153, 6123, 6765, 8031, 1036, 1424, 2365, 3567, 4609, 5991, 6692, 8234, 547, 1768, 2363, 3533, 4364, 5945, 6529, 8046, 645, 2065, 2151, 3536, 4856, 5865, 6981, 8253, 308, 1869, 3007, 3401, 4281, 5658, 6850, 7870, 186, 2111, 2820, 3201, 5060, 5824, 6810, 7939, 935, 2068, 2943, 3516, 5038, 6063, 7090, 7906, 956, 2068, 2960, 4085, 4366, 5210, 7006, 7887, 555, 2106, 3065, 3710, 4179, 5515, 6972, 8076, 105, 2106, 2659, 3226, 5060, 5515, 7132, 7485, 617, 1345, 2880, 3595, 5060, 5438, 7129, 7563, 617, 1332, 3021, 3550, 4870, 5548, 6612, 7498, 105, 2106, 3143, 3550, 4870, 5219, 6772, 7706, 475, 2106, 2554, 3891, 4423, 6149, 7091, 8237, 555, 2111, 2833, 3710, 4615, 5515, 6589, 7563, 142, 2111, 2806, 3803, 4583, 6205, 7120, 7723, 860, 2017, 2806, 3893, 4624, 6139, 7077, 8223, 860, 1528, 2806, 4108, 4624, 6139, 7226, 8223, 488, 1528, 2164, 3893, 4366, 5635, 7124, 8196, 186, 1381, 2806, 4068, 4630, 5612, 7132, 7570, 856, 2063, 2886, 3487, 4633, 5458, 6677, 8154, 640, 1653, 2810, 3245, 4485, 5768, 6536, 7711, 635, 1719, 2953, 3563, 4338, 5828, 6560, 7790, 189, 1882, 2346, 3792, 4709, 5231, 6310, 7673, 103, 2033, 2328, 3811, 4419, 5544, 7043, 7599, 956, 1797, 2915, 3908, 5026, 5616, 6702, 7485, 356, 2013, 2669, 3951, 4828, 5650, 6403, 8117, 935, 1623, 2996, 3886, 4890, 5883, 7120, 7816, 935, 1684, 2730, 3945, 4925, 5219, 7132, 8266, 552, 1750, 2996, 4108, 4287, 5832, 6589, 8080, 293, 1910, 3004, 4124, 4864, 5592, 6528, 7844, 293, 1917, 2677, 3350, 4928, 5616, 6934, 7555, 613, 1604, 2366, 3966, 4189, 5333, 7024, 8070, 166, 1275, 2868, 3603, 4427, 5315, 6950, 7542, 1045, 2059, 2950, 4038, 4946, 5479, 7242, 8105, 1102, 1566, 2775, 3857, 5134, 5506, 7024, 7652, 211, 1424, 2543, 3692, 5145, 5801, 6720, 8269, 955, 2088, 2959, 3516, 4822, 5901, 7166, 7821, 512, 1620, 2895, 3891, 4925, 5385, 6972, 7720, 401, 1750, 3135, 3956, 4287, 5210, 7201, 8237, 512, 1499, 3144, 3891, 5061, 5978, 6979, 8083, 304, 1945, 3043, 3916, 5159, 5705, 6604, 8185, 922, 2013, 2402, 3562, 4400, 5664, 6280, 7957, 511, 1133, 2327, 3258, 4935, 5697, 6582, 7252, 611, 1550, 2925, 3860, 4996, 5586, 6574, 7271, 868, 1834, 2940, 3798, 4335, 5202, 6840, 7757, 981, 1330, 3091, 3662, 4848, 5753, 6476, 8031, 684, 2035, 2661, 3955, 4935, 5550, 6891, 8066, 684, 1998, 2661, 3983, 4513, 5690, 7132, 8267, 390, 2063, 2678, 3931, 4609, 5844, 7047, 7865, 308, 1508, 2946, 4108, 4195, 6131, 7023, 8083, 914, 1963, 2947, 3226, 4622, 5219, 6613, 8237, 308, 1869, 2703, 4145, 4925, 5340, 6988, 7485, 143, 1308, 3022, 3470, 5076, 6187, 6410, 7919, 485, 1436, 2579, 4064, 5113, 6118, 6578, 7673, 1049, 2079, 2743, 4149, 4582, 5904, 6643, 7409, 1029, 1571, 2559, 3556, 4825, 5512, 6331, 7608, 1029, 1428, 3145, 3946, 4825, 5980, 6458, 7445, 363, 1479, 3097, 3560, 4499, 5829, 6664, 7402, 123, 1130, 2937, 3623, 4517, 6086, 6995, 8154, 339, 1674, 2407, 3858, 4221, 5237, 6557, 7385, 386, 1582, 2705, 3605, 4987, 6193, 7026, 7946, 110, 2102, 2363, 3808, 5171, 6105, 6469, 7853, 537, 1318, 2713, 4009, 4829, 5788, 6487, 7586, 779, 1783, 2705, 4093, 4387, 5796, 6953, 8041, 304, 2049, 2383, 3153, 5080, 6014, 6809, 7458, 859, 1534, 2947, 4114, 4681, 6211, 6988, 7264, 186, 1845, 2834, 3990, 5060, 5963, 7006, 7658, 337, 1475, 3128, 4105, 5106, 5661, 7006, 7260, 935, 2017, 2880, 4071, 4792, 6139, 7201, 7264, 186, 2017, 2391, 3893, 4624, 5687, 6750, 8083, 818, 1528, 2746, 3710, 4624, 5832, 6515, 8196, 186, 2017, 3065, 3825, 5058, 5661, 7077, 7641, 356, 1964, 3144, 4171, 4512, 5963, 6648, 7717, 225, 1930, 2181, 3723, 4411, 6163, 6889, 7831, 757, 1233, 3053, 3983, 5167, 5616, 6840, 7313, 391, 1388, 2238, 3540, 4983, 5538, 6998, 8082, 402, 1510, 2407, 3788, 4903, 5787, 6973, 8132, 262, 1770, 3149, 3496, 5110, 6198, 6968, 7583, 304, 2035, 2895, 4097, 5012, 5687, 6752, 8260, 955, 1777, 2924, 4171, 5060, 6123, 7162, 8267, 401, 1620, 2520, 4171, 4470, 6064, 6979, 7421, 955, 1700, 3064, 3962, 5145, 5832, 6752, 7494, 955, 1700, 3064, 3962, 4583, 5761, 6752, 8260, 308, 1850, 2947, 3918, 4980, 6129, 6752, 7876, 308, 1523, 3008, 4068, 5058, 5534, 7168, 7806, 952, 1320, 2991, 3487, 4918, 5241, 6338, 7631, 840, 2091, 2987, 3271, 4347, 5606, 6622, 8173, 668, 2062, 2487, 4022, 4959, 5972, 6913, 7902, 546, 1778, 2487, 3770, 5077, 5472, 6608, 8178, 531, 2034, 2817, 3316, 4753, 6076, 6921, 7674, 1041, 1278, 2717, 3630, 5135, 6008, 6595, 7777, 339, 1971, 2515, 3218, 4521, 5629, 6224, 8009, 917, 1284, 2346, 3996, 5148, 6118, 6911, 8109, 1017, 1763, 2987, 3237, 5135, 6095, 7241, 7435, 917, 1557, 2492, 3770, 4471, 6073, 7046, 8184, 917, 1561, 2785, 3521, 4550, 5944, 6614, 7682, 917, 1411, 2740, 3679, 4955, 5746, 6258, 7279, 1029, 1736, 3037, 4153, 5015, 5858, 7174, 7474, 150, 1759, 2380, 3585, 4858, 5699, 6235, 8041, 725, 1517, 3085, 3309, 4926, 5532, 7068, 7935, 1067, 1736, 3007, 3761, 4319, 5613, 6602, 8061, 339, 1504, 2455, 3894, 4722, 5979, 6593, 7774, 917, 1167, 3003, 3560, 4449, 6131, 6555, 8016, 512, 1767, 3150, 3352, 4289, 5918, 6859, 7290, 308, 1924, 2838, 3886, 5129, 6211, 6349, 7557, 935, 2068, 2641, 4152, 4276, 6058, 6996, 7720, 984, 1648, 2340, 3909, 4980, 5630, 7084, 7908, 1081, 1141, 2925, 3931, 5101, 5630, 6651, 8221, 415, 1817, 2842, 3789, 4255, 6007, 6566, 7313, 132, 1407, 2582, 3516, 5007, 5340, 6426, 7658, 716, 1303, 2291, 3715, 4285, 5990, 7194, 7672, 840, 1432, 2458, 3366, 4477, 5907, 6780, 7378, 535, 1725, 3040, 3326, 4874, 5384, 6224, 7564, 360, 1554, 2639, 3785, 4728, 5585, 6680, 7473, 363, 1183, 3047, 3224, 4237, 5999, 6547, 8255, 1101, 2035, 3040, 4044, 4364, 6208, 6467, 7633, 1025, 1146, 3091, 3481, 5032, 5212, 6414, 7254, 643, 1227, 2732, 3307, 4622, 6181, 6540, 8192, 401, 1834, 2256, 3740, 5088, 5684, 6633, 7677, 504, 1797, 2695, 3316, 4379, 5884, 7069, 7957, 223, 1167, 2661, 3521, 5169, 5752, 6421, 8016, 952, 2001, 2139, 3838, 4690, 5250, 6505, 7313, 363, 1183, 2763, 3877, 4734, 5727, 6965, 7683, 1023, 1826, 3037, 3596, 4482, 5606, 6724, 8149, 465, 2008, 2343, 3418, 4364, 6072, 6875, 7521, 1099, 1930, 2886, 4082, 4859, 5527, 6694, 8107, 956, 1534, 2783, 3361, 5061, 5630, 6589, 8260, 818, 1847, 2925, 3361, 5058, 5661, 7132, 8267, 935, 2068, 3064, 4006, 4630, 5630, 7218, 7631, 935, 2000, 3007, 4011, 4630, 5630, 6752, 8196, 935, 1998, 2996, 3891, 5060, 5705, 7084, 8195, 541, 2098, 2792, 3928, 4305, 6137, 6616, 7515, 865, 1596, 2664, 3391, 4622, 5218, 6598, 7259, 568, 1137, 2341, 3815, 5049, 5646, 6231, 8098, 153, 1119, 2924, 4035, 4412, 5705, 7064, 7664, 840, 1227, 2472, 3307, 4186, 6054, 6558, 8064, 360, 1510, 2835, 3434, 4998, 5757, 6224, 7739, 807, 1494, 2378, 3261, 4273, 5942, 6235, 7815, 807, 1782, 2414, 3341, 4395, 5531, 6842, 8140, 887, 1717, 2594, 3610, 4225, 5863, 6413, 7915, 150, 1255, 2552, 3918, 5164, 6122, 6852, 7776, 150, 1255, 2371, 3936, 4780, 6113, 7098, 8126, 887, 1717, 2594, 3910, 4311, 5861, 6910, 7918, 1090, 2107, 2887, 4096, 4270, 5523, 7098, 7716, 288, 1485, 2902, 4011, 4592, 6129, 7160, 8236, 105, 1320, 3147, 3886, 4918, 6128, 6740, 7386, 568, 1706, 2888, 4115, 4411, 5514, 6684, 7764, 334, 2114, 3021, 4166, 4737, 5727, 6717, 7838, 334, 1289, 2370, 4124, 5142, 5719, 7019, 7441, 568, 1623, 2554, 4011, 4971, 5296, 7012, 8080, 757, 1147, 3147, 3410, 4890, 5824, 6551, 7429, 955, 1330, 2254, 3631, 4606, 5911, 7090, 7846, 582, 1499, 2801, 3939, 4638, 6106, 7181, 7896, 737, 1350, 2506, 3305, 4224, 6077, 7181, 7572, 936, 1652, 2734, 3860, 4595, 5828, 6846, 7256, 737, 1732, 2156, 4097, 4595, 5283, 6595, 7385, 137, 2009, 2448, 3765, 4448, 5435, 6226, 7756, 1040, 1832, 2751, 3383, 4306, 5616, 7097, 7627, 1040, 2036, 3074, 3824, 4192, 5988, 6622, 7740, 299, 1570, 2503, 3604, 4288, 6125, 6866, 8149, 443, 1570, 2282, 3187, 5122, 5965, 7136, 7955, 826, 1826, 2826, 3973, 4711, 5370, 6608, 7918, 881, 1570, 2282, 3979, 4934, 5625, 6888, 7298, 115, 1915, 2867, 3723, 5096, 5906, 7017, 7806, 576, 1881, 2688, 3900, 4364, 5307, 6419, 7660, 228, 1452, 2771, 3749, 4555, 5711, 6718, 7965, 654, 2098, 3075, 4125, 5007, 5590, 6260, 7743, 518, 1313, 2210, 3967, 4237, 5950, 6612, 7749, 105, 1648, 3006, 3838, 4622, 6129, 7232, 8093, 818, 1622, 2833, 4145, 5061, 5493, 6889, 7677, 818, 2000, 2991, 3226, 5138, 6186, 6889, 7716, 555, 1622, 3008, 4068, 4822, 6186, 7201, 8147, 859, 1648, 2970, 4068, 5080, 5767, 7239, 7876, 617, 1695, 2729, 3873, 5080, 5219, 6589, 8147, 617, 1695, 2880, 3873, 4890, 5296, 6988, 7716, 617, 1468, 2839, 4166, 4890, 5385, 6604, 7743, 105, 2106, 3065, 3827, 5160, 6163, 6688, 7707, 617, 2127, 2833, 3692, 5083, 5963, 6717, 7476, 617, 1147, 2709, 3994, 5159, 5296, 6584, 8261, 105, 2106, 2941, 3595, 4954, 5493, 6607, 7949, 617, 2106, 2858, 3827, 5159, 5514, 7168, 7563, 105, 2106, 2138, 3891, 4555, 5550, 6612, 7538, 617, 1695, 3062, 3680, 4681, 6149, 6996, 8237, 617, 1289, 3026, 3550, 5060, 6101, 7069, 8080, 105, 1648, 2775, 4092, 4606, 6149, 6688, 8262, 105, 2106, 2858, 4068, 4267, 5296, 7207, 7865, 4, 2 ]

[ 1, 26, 5, 76, 45, 65, 5, 66, 73, 5, 64, 48, 5, 77, 73, 5, 66, 57, 54, 27, 66, 5, 5, 5, 16, 62, 11, 54, 5, 28, 45, 78, 54, 16, 64, 5, 17, 75, 5, 44, 53, 62, 20, 63, 66, 16, 54, 64, 5, 5, 3, 860, 2017, 2806, 3825, 4704, 6139, 7226, 8147, 915, 2078, 2164, 3893, 5159, 6139, 6604, 7677, 419, 1750, 3065, 3407, 5138, 5514, 6996, 7367, 488, 1648, 2806, 3893, 4624, 6081, 7124, 8147, 475, 2065, 2838, 4171, 4512, 5241, 7098, 7715, 448, 1918, 3068, 4168, 4374, 5624, 7149, 7626, 135, 1509, 2675, 4051, 4804, 5443, 6313, 7603, 179, 2009, 2953, 3585, 4672, 5315, 7081, 7638, 793, 1910, 2224, 3585, 4340, 6184, 6456, 7842, 807, 2058, 3051, 3533, 4539, 5270, 6292, 7898, 150, 1397, 2678, 3582, 4689, 5828, 6907, 8183, 993, 1302, 3091, 3936, 4690, 5509, 6903, 7617, 643, 1655, 2975, 4073, 4292, 6125, 6842, 7397, 1056, 1318, 2944, 4093, 5122, 5834, 6605, 7528, 401, 1280, 2991, 3487, 4865, 5216, 6936, 7631, 390, 1562, 3108, 3479, 4435, 6014, 6930, 7677, 304, 2068, 2469, 3361, 4447, 6051, 6953, 7977, 643, 1446, 2476, 3556, 4621, 5678, 7184, 8209, 408, 1686, 2659, 3475, 4506, 5696, 6784, 7737, 856, 1855, 2282, 3495, 4385, 5256, 6403, 7834, 1098, 1828, 2824, 3768, 5110, 5797, 6888, 7549, 722, 1541, 2282, 3575, 4748, 5965, 6984, 8193, 1102, 1164, 2161, 4106, 4240, 5899, 6857, 7959, 757, 2033, 2287, 3884, 4777, 5929, 6964, 7563, 568, 2034, 2652, 3879, 4538, 5218, 7220, 7602, 568, 1958, 2542, 3588, 4796, 6163, 7151, 7916, 183, 1112, 2454, 3891, 5088, 6010, 7168, 7563, 757, 2127, 3139, 3231, 4556, 5935, 6986, 8091, 183, 1510, 2957, 3352, 5138, 5829, 6892, 8170, 256, 1633, 2287, 3980, 5138, 6171, 7157, 7538, 105, 1623, 3064, 4125, 5058, 6211, 7043, 7717, 956, 1623, 2960, 3226, 4918, 6065, 7132, 8164, 488, 2017, 3117, 3367, 4624, 6139, 7226, 7717, 818, 1528, 3117, 3367, 4798, 5832, 7226, 8179, 186, 1528, 2914, 4145, 4822, 6139, 7218, 7806, 397, 1477, 2139, 3754, 4541, 6205, 7229, 7508, 1020, 1695, 2669, 3826, 4298, 5814, 7154, 8172, 650, 1400, 2918, 3766, 4586, 5599, 7229, 7533, 492, 1915, 2492, 3864, 4297, 5512, 6476, 7861, 492, 1915, 2708, 3968, 4423, 5223, 6538, 7704, 756, 1878, 3026, 3589, 4273, 5944, 7028, 7721, 568, 1789, 3032, 3424, 4853, 5639, 6551, 7857, 225, 2060, 2587, 3398, 4318, 6117, 6890, 7908, 225, 1426, 3026, 4143, 5034, 5767, 7017, 7781, 225, 1108, 2791, 3276, 4890, 5837, 7090, 7311, 518, 1440, 2566, 4111, 5120, 5650, 7090, 8187, 518, 1468, 2775, 3886, 4555, 6063, 6895, 7509, 256, 1597, 2356, 3420, 4374, 5767, 6840, 7715, 518, 1750, 2554, 3555, 4329, 5640, 6671, 7303, 518, 2127, 2562, 3359, 5138, 5333, 7168, 8061, 654, 1345, 3064, 4113, 4890, 5515, 7207, 8102, 654, 1345, 3064, 4113, 4423, 5635, 6604, 8067, 228, 2111, 2554, 3394, 4555, 5548, 7103, 7716, 183, 1684, 2659, 3364, 4555, 5719, 6996, 8076, 613, 1411, 3040, 3767, 4423, 6128, 6979, 7303, 318, 1564, 2607, 3420, 4700, 5814, 7243, 7442, 582, 1333, 2142, 3952, 4224, 5584, 7181, 7962, 511, 1550, 2515, 3476, 4409, 5447, 6823, 8149, 545, 1669, 2161, 3888, 4578, 5579, 7118, 7752, 582, 1388, 2132, 4102, 4335, 5620, 6861, 8248, 448, 1167, 2750, 3888, 4776, 5350, 6610, 8191, 545, 1227, 2282, 3355, 4881, 5224, 6504, 7516, 401, 2053, 2282, 3306, 4321, 5578, 7094, 7497, 887, 1550, 2520, 3669, 4321, 5425, 6307, 7515, 955, 2084, 2946, 4007, 4966, 5515, 6612, 7510, 610, 1550, 2436, 4074, 4437, 5586, 6412, 7838, 1090, 1550, 2874, 3613, 4318, 5503, 7149, 7770, 424, 1550, 3067, 4154, 5054, 5800, 6899, 7480, 1091, 1847, 2288, 3602, 5016, 5609, 6547, 7962, 938, 2127, 2987, 3424, 4621, 5823, 6613, 7498, 938, 1596, 2144, 3939, 4346, 5222, 6426, 8006, 970, 2059, 3035, 3578, 4881, 5844, 7002, 7717, 970, 2059, 2369, 3826, 4867, 5781, 7222, 7539, 424, 1989, 3017, 3656, 4383, 6181, 7237, 7545, 1090, 2059, 2583, 3298, 4374, 5516, 7149, 7254, 424, 2059, 2925, 3601, 4220, 5771, 6614, 7952, 1091, 1171, 2144, 3671, 4611, 5602, 6809, 8262, 818, 1705, 2798, 3226, 5166, 5694, 7132, 7631, 956, 1992, 2936, 3188, 5058, 6051, 6972, 7421, 186, 1847, 2957, 4018, 4782, 5832, 6752, 7876, 475, 1998, 3007, 4026, 5104, 5963, 7207, 8260, 224, 1597, 2886, 3630, 4996, 5734, 6914, 7508, 183, 1347, 3000, 3391, 5120, 5265, 6708, 7402, 955, 2106, 2987, 3914, 5125, 5883, 6752, 8151, 1033, 1296, 2959, 4096, 4555, 5610, 6830, 8066, 536, 1850, 2564, 3446, 4735, 6142, 6498, 8210, 536, 1850, 2436, 3233, 4459, 5591, 6593, 8129, 776, 1139, 2693, 3442, 4604, 5465, 6286, 7508, 424, 1255, 2750, 4082, 5010, 6120, 6302, 7476, 1090, 2107, 2887, 3793, 4536, 6073, 6613, 8213, 1071, 1581, 2750, 3342, 5169, 5737, 7047, 7717, 104, 1827, 2750, 3660, 4731, 6007, 7019, 7962, 1025, 1477, 3003, 3154, 5169, 6002, 6642, 7329, 535, 1299, 3003, 3310, 4364, 5633, 6615, 7641, 293, 1609, 2832, 4130, 4388, 5974, 6403, 7710, 465, 1604, 3010, 3727, 4927, 5387, 6422, 7642, 895, 1828, 2633, 3849, 5137, 5739, 6548, 7337, 1052, 1267, 3034, 4025, 4264, 6125, 6360, 7298, 1041, 1553, 2688, 3370, 4321, 6086, 6303, 7808, 1084, 2099, 3149, 4007, 4841, 6034, 6944, 8061, 1062, 1808, 2884, 4007, 4538, 6119, 6562, 8085, 104, 1141, 2232, 3931, 4435, 5695, 7157, 8197, 103, 1296, 2902, 4147, 4371, 5474, 6828, 8193, 1025, 1918, 2872, 3258, 5122, 5474, 6884, 7488, 1025, 1773, 2872, 4145, 4604, 6147, 6751, 7662, 1099, 2000, 3135, 3994, 4822, 5901, 6830, 7248, 1099, 1620, 3008, 3886, 4589, 5219, 6972, 7764, 757, 1564, 2860, 4124, 5143, 5357, 6611, 7597, 256, 1695, 2792, 3910, 5080, 5923, 6814, 7831, 859, 1695, 3062, 3662, 4890, 5550, 6515, 7908, 555, 1684, 3135, 3994, 4870, 6175, 6988, 7485, 488, 1684, 3135, 3803, 5038, 6139, 7120, 7717, 488, 2017, 2914, 4071, 5038, 6137, 7201, 8147, 860, 1528, 2914, 3803, 4704, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 4018, 4798, 6186, 6794, 8223, 419, 1844, 2324, 3914, 4624, 5515, 6589, 7723, 419, 2065, 2781, 3367, 4859, 5635, 6604, 7865, 715, 1596, 2473, 3175, 5138, 6062, 7232, 8236, 189, 2035, 3069, 3649, 4818, 6112, 6603, 8231, 160, 1898, 3008, 3869, 4285, 5791, 7178, 7720, 512, 1399, 2936, 3488, 4423, 5869, 6777, 7898, 956, 1330, 3008, 3226, 4888, 6025, 6979, 7782, 186, 1467, 3008, 4174, 5058, 5241, 7058, 8083, 186, 1791, 3110, 3367, 5080, 5241, 6752, 7949, 120, 1444, 2677, 3793, 5150, 5835, 6832, 8109, 650, 2088, 3128, 3777, 4426, 5678, 6774, 8083, 492, 1469, 2532, 3896, 4332, 6090, 6879, 7644, 492, 1926, 2259, 3752, 4525, 5224, 6963, 7729, 161, 2050, 2553, 4007, 5111, 5454, 6493, 7699, 247, 1704, 2173, 3498, 4345, 6219, 7118, 8015, 535, 1786, 2954, 3727, 4364, 5783, 6237, 8128, 249, 1547, 3029, 3480, 5015, 5491, 6478, 7807, 807, 1770, 3103, 3714, 4973, 6104, 6731, 8122, 391, 1141, 2832, 3316, 4849, 5706, 6225, 8112, 104, 1227, 2607, 4005, 4533, 5983, 6613, 8240, 1025, 1745, 2357, 3910, 5088, 5485, 6298, 7480, 424, 1878, 2750, 3627, 4374, 5788, 7244, 7978, 104, 1717, 3095, 3961, 5088, 5761, 6871, 7877, 663, 1863, 2994, 3543, 5110, 5684, 7023, 8070, 1056, 1675, 3135, 3932, 5166, 6007, 7207, 8195, 308, 1218, 2975, 4152, 5166, 6129, 6515, 7570, 1056, 1467, 2925, 3961, 4980, 5687, 7149, 8093, 390, 1750, 2957, 3866, 5058, 6014, 7218, 8267, 857, 1964, 3053, 4152, 4294, 5515, 7160, 8179, 247, 1283, 2552, 3166, 5096, 5934, 6754, 7397, 932, 1397, 3126, 3573, 4440, 5640, 6606, 7648, 399, 1472, 2348, 3727, 4604, 5765, 7227, 8169, 399, 1472, 3074, 3992, 4604, 5322, 6822, 7533, 737, 1296, 2665, 3842, 4921, 5745, 6419, 8092, 845, 1938, 2232, 4037, 4242, 5867, 6403, 7355, 274, 1773, 3066, 3353, 4776, 5276, 6493, 8100, 654, 1467, 2751, 4074, 5168, 5894, 6948, 7476, 654, 1494, 2672, 3550, 4522, 6035, 6380, 7476, 518, 1620, 2156, 3886, 4235, 5616, 7152, 7732, 440, 2079, 2328, 4089, 5148, 6051, 6607, 7939, 956, 1623, 3128, 3873, 5168, 5968, 6579, 7717, 859, 2073, 2167, 3918, 4276, 6182, 6840, 7677, 684, 1467, 3026, 4145, 4287, 5873, 6840, 7570, 1033, 2090, 2163, 3188, 4890, 5344, 7023, 7555, 271, 1924, 2741, 4152, 4536, 5694, 6613, 7736, 761, 1548, 2462, 3880, 4565, 5444, 6944, 7930, 784, 1388, 2156, 3878, 4921, 6135, 6820, 7732, 1101, 1755, 2156, 3521, 4321, 5584, 6354, 7602, 845, 1797, 3091, 3755, 4539, 5461, 6626, 8210, 1014, 1539, 2736, 3254, 4862, 5533, 7181, 8198, 654, 1826, 2181, 3776, 5193, 5372, 6486, 7528, 654, 1534, 2946, 4125, 4531, 5241, 7024, 7453, 518, 1794, 2341, 3790, 4583, 5536, 6262, 7804, 240, 1304, 3008, 3535, 5166, 5624, 6840, 7537, 518, 2111, 2669, 3914, 4912, 5514, 7168, 7683, 256, 1869, 2792, 3933, 4859, 5385, 7152, 7485, 859, 2065, 3133, 4114, 5129, 5883, 6840, 7477, 1033, 2021, 2860, 4168, 4282, 5413, 6536, 8177, 360, 1171, 2421, 4138, 4316, 5838, 6765, 7685, 875, 1496, 2769, 3551, 4574, 6012, 6627, 7654, 895, 1477, 2896, 3849, 5011, 5231, 6474, 7923, 373, 1280, 2450, 3869, 5027, 5565, 6783, 7603, 308, 1620, 2340, 4108, 4782, 5610, 7084, 7717, 211, 2127, 3135, 4017, 5098, 5216, 6967, 7421, 448, 1534, 2881, 3642, 4398, 5788, 6486, 7602, 886, 1594, 3075, 3544, 4353, 5222, 6977, 8224, 150, 1397, 2678, 3524, 4282, 6170, 7083, 7975, 1023, 1286, 2346, 3565, 5169, 5557, 6584, 8114, 363, 1773, 2830, 3741, 5122, 5224, 7114, 7474, 299, 2013, 2751, 3540, 5073, 6067, 6894, 7816, 887, 1299, 2661, 3540, 4671, 5662, 6338, 8179, 401, 1831, 2503, 3540, 5020, 5844, 6584, 7918, 955, 1620, 3033, 3873, 4589, 5425, 7132, 7846, 980, 1698, 3043, 4145, 5139, 5908, 7023, 8267, 1056, 1467, 2895, 4166, 4980, 6205, 7114, 7570, 510, 1945, 2144, 4006, 4993, 5978, 6613, 8147, 684, 1750, 2946, 4174, 4822, 5573, 6996, 8080, 1097, 2000, 2991, 3982, 4888, 5219, 7084, 8147, 143, 1791, 2560, 4011, 4529, 5913, 7221, 7421, 617, 1930, 3150, 4125, 4592, 6014, 7084, 7764, 959, 1675, 3038, 4174, 5120, 5797, 6885, 7477, 1067, 1469, 2863, 3357, 4241, 6148, 6347, 8011, 344, 1469, 3037, 3722, 4212, 5496, 6626, 7899, 83, 1469, 2610, 3398, 4390, 5828, 6611, 8085, 1008, 1494, 2894, 3747, 4335, 5889, 6426, 7968, 1016, 1494, 2482, 3356, 4232, 5597, 6618, 7458, 961, 1776, 2493, 3971, 4981, 5360, 6426, 7756, 955, 1943, 2816, 3940, 4339, 5623, 6536, 7995, 1102, 2028, 2964, 3945, 4276, 5717, 6947, 8173, 967, 1931, 2677, 4171, 4829, 6167, 6750, 8080, 863, 2085, 3003, 3932, 4852, 5968, 7152, 7673, 390, 1141, 2832, 4150, 5193, 5810, 7157, 8252, 488, 2046, 3006, 3231, 4551, 5340, 6709, 8076, 818, 2041, 3135, 3982, 5166, 5241, 7201, 7876, 818, 1705, 3006, 4071, 4630, 6205, 6794, 7723, 427, 1623, 2989, 4068, 4374, 5705, 7163, 7570, 555, 1705, 2989, 4085, 5088, 6182, 7098, 8179, 984, 1871, 2340, 4150, 4925, 6182, 7207, 7485, 955, 1827, 2924, 4113, 5058, 5241, 6996, 7485, 1033, 1306, 2165, 4010, 4938, 5899, 6830, 7965, 887, 1931, 2503, 4096, 4553, 5966, 6732, 7791, 663, 1918, 2135, 3771, 4385, 5678, 7049, 8016, 1011, 1878, 2429, 3691, 4368, 6222, 6478, 7959, 160, 1640, 2436, 3996, 4282, 6111, 6824, 8060, 424, 1931, 2946, 3991, 4561, 5864, 6402, 7962, 1025, 1858, 2978, 3961, 4319, 5509, 7244, 7476, 1056, 1978, 2901, 3949, 5088, 6181, 7098, 8237, 959, 1886, 2144, 3201, 4985, 5474, 6410, 8066, 240, 1540, 2454, 3886, 4555, 5610, 6338, 8096, 654, 1286, 2791, 3304, 4762, 5624, 6410, 7890, 518, 2002, 2356, 3394, 5088, 6103, 6380, 8266, 518, 2002, 2355, 3798, 4555, 6097, 6604, 8076, 518, 1468, 2833, 4103, 4326, 5296, 7218, 7473, 518, 1468, 3133, 4166, 5128, 5631, 6889, 8179, 518, 2002, 2869, 3550, 4360, 5436, 6612, 7881, 228, 2106, 2554, 3595, 4762, 5385, 6584, 7715, 256, 2002, 2356, 3394, 5159, 5550, 7207, 7303, 256, 2127, 2869, 4071, 4859, 5296, 7207, 7715, 256, 1750, 2554, 3595, 4870, 5296, 6749, 7664, 552, 1550, 2959, 3277, 5120, 5814, 6884, 7476, 818, 2111, 3117, 3391, 5135, 5413, 7207, 7723, 488, 2017, 2806, 3825, 5138, 5892, 6996, 8147, 488, 1622, 2806, 3893, 4624, 5892, 6338, 7716, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1528, 2164, 3893, 4870, 6139, 6794, 8196, 915, 1622, 2833, 4145, 4798, 6139, 6996, 8196, 915, 1623, 2164, 3914, 4798, 5550, 7077, 8223, 555, 1648, 2970, 3891, 4780, 5811, 6996, 8126, 555, 1684, 2858, 4145, 4762, 5219, 7069, 7723, 555, 1684, 2970, 3893, 4622, 5811, 7090, 8223, 555, 1876, 2970, 3891, 4512, 5635, 6794, 8223, 555, 1648, 3021, 3891, 4512, 5844, 6604, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 76, 48, 5, 41, 20, 66, 5, 11, 54, 5, 33, 53, 62, 66, 47, 5, 64, 66, 17, 53, 16, 51, 64, 5, 5, 3, 488, 2106, 2970, 3931, 4583, 6211, 7120, 8147, 915, 2032, 3021, 4174, 4387, 5635, 7006, 7485, 186, 1147, 3143, 3893, 4624, 6163, 7006, 8196, 860, 1528, 2164, 3893, 5060, 5241, 7226, 7766, 142, 1622, 2806, 3893, 4704, 6186, 7226, 7766, 488, 1622, 2806, 3893, 4624, 5241, 7124, 7766, 555, 1851, 2164, 3893, 5060, 5612, 6752, 8147, 441, 1665, 2709, 3413, 4752, 5212, 6501, 8058, 723, 2034, 2271, 3688, 4702, 5576, 6497, 8058, 723, 1695, 2827, 3460, 4903, 5742, 6587, 7549, 535, 1803, 2147, 3696, 4800, 5886, 6783, 7962, 1033, 1382, 2944, 3210, 5150, 6116, 7112, 8072, 104, 1146, 3118, 3788, 5107, 5300, 6566, 7717, 1025, 1809, 2891, 3410, 4426, 6212, 6910, 7634, 826, 1858, 2357, 4096, 4834, 6070, 6908, 8093, 150, 1831, 3101, 3878, 4417, 5664, 7013, 7810, 104, 1717, 2661, 3298, 5159, 6103, 7099, 8107, 1090, 1350, 2210, 3188, 5098, 6000, 6774, 8079, 1057, 1499, 2709, 3654, 5090, 5493, 6792, 7895, 778, 1298, 2556, 3808, 4449, 5862, 6885, 7312, 104, 1603, 2232, 3430, 5100, 5765, 6793, 7927, 487, 1510, 2258, 3859, 4954, 5762, 6894, 8081, 986, 1397, 2918, 3316, 4338, 5875, 6933, 8027, 582, 1561, 2805, 4031, 4539, 5538, 6766, 8000, 424, 2053, 2492, 3515, 4213, 6002, 6484, 7613, 1090, 1942, 2208, 4021, 4872, 5923, 6772, 8209, 899, 1876, 3062, 3767, 5159, 5263, 6639, 7678, 789, 1525, 2729, 3770, 5073, 6160, 6238, 7679, 901, 2106, 3079, 3364, 4374, 5515, 6376, 8206, 789, 2030, 3144, 3560, 4376, 5719, 7132, 8260, 789, 2030, 2858, 3516, 4184, 5978, 6776, 7363, 789, 1600, 2946, 3364, 5165, 5811, 7120, 8080, 789, 1620, 2946, 3364, 4801, 5797, 6671, 8261, 256, 1623, 2473, 3440, 4792, 5534, 6671, 7260, 440, 1600, 2960, 3364, 5165, 5901, 6485, 7918, 901, 1937, 2860, 3391, 4423, 5514, 6265, 8017, 256, 1750, 2473, 3827, 5145, 5761, 7100, 7831, 473, 1752, 2562, 3440, 4622, 5534, 6920, 8185, 223, 1385, 2281, 4115, 4826, 5923, 7169, 7867, 1024, 1757, 3031, 3531, 5053, 5227, 7150, 7709, 333, 1543, 2721, 3558, 4665, 5874, 6614, 8271, 333, 2066, 2721, 3288, 4942, 5693, 6256, 7842, 504, 1709, 2721, 3302, 4672, 5960, 7107, 7954, 386, 1538, 2243, 3281, 4365, 5785, 6592, 7842, 1029, 1538, 3072, 3281, 5110, 5216, 6467, 7442, 235, 2081, 2320, 3164, 4314, 5369, 7237, 7905, 235, 1849, 2993, 3804, 4706, 5639, 6735, 7879, 1029, 1727, 2392, 3559, 5160, 5597, 6793, 7978, 770, 1841, 3090, 3997, 5068, 5425, 6920, 7919, 981, 1865, 2690, 3223, 4475, 6000, 7104, 8252, 1029, 1865, 2265, 3406, 5093, 5410, 6803, 7955, 132, 1620, 2656, 3540, 4554, 6163, 6715, 7652, 678, 1402, 2633, 4124, 4374, 6005, 6668, 8060, 840, 1865, 2690, 4115, 4781, 5431, 6716, 7547, 265, 1818, 2639, 3496, 5195, 6094, 6659, 8165, 575, 1582, 2260, 3615, 4759, 5240, 6258, 7248, 320, 1682, 2260, 4138, 4203, 5363, 6791, 7637, 320, 1682, 2667, 3549, 4275, 5796, 7080, 7286, 895, 1503, 2680, 3288, 4475, 5526, 6825, 7470, 536, 1503, 3047, 3835, 4438, 5785, 7198, 8170, 536, 1199, 2972, 3196, 4462, 5670, 6670, 7248, 536, 1772, 2687, 4154, 4842, 5594, 7233, 8139, 536, 1157, 2636, 3835, 4323, 6118, 6826, 8148, 1090, 1370, 2578, 3549, 4807, 6197, 6929, 7360, 610, 1602, 2794, 3488, 4212, 5950, 6635, 7646, 887, 1360, 2440, 3870, 5083, 5687, 6426, 7636, 887, 1721, 2946, 3776, 4592, 6014, 7019, 8145, 465, 1778, 2239, 3292, 4470, 5276, 6591, 7709, 575, 1164, 2332, 4147, 4555, 5279, 6837, 7438, 1081, 2034, 2638, 3782, 4365, 5296, 7001, 8189, 397, 1834, 2395, 3857, 5040, 5719, 6328, 7524, 407, 1289, 3047, 3555, 4346, 6034, 7104, 8128, 221, 2048, 2610, 3913, 4961, 5298, 6910, 7744, 886, 1782, 3029, 3218, 4810, 5734, 7227, 7660, 1039, 1540, 2311, 3936, 4294, 5656, 6925, 7990, 462, 1550, 3029, 3469, 4850, 5943, 6909, 7974, 391, 1541, 2215, 3662, 4992, 5572, 6550, 8226, 424, 1499, 2661, 3955, 4849, 5534, 6478, 7732, 401, 1721, 2794, 3932, 5183, 6103, 6410, 7260, 779, 1773, 3022, 4145, 4282, 6084, 7201, 7764, 1099, 1791, 3095, 3932, 4822, 5968, 7207, 7570, 555, 1963, 2957, 4145, 4374, 5767, 6515, 8267, 555, 1998, 2925, 3188, 4993, 5534, 6677, 8267, 288, 1876, 2492, 3932, 5142, 6131, 7006, 8261, 1081, 1141, 2946, 4027, 5187, 6131, 6298, 8130, 1015, 1141, 3053, 4026, 4533, 5853, 6265, 8080, 987, 1633, 2794, 3782, 5165, 6130, 6856, 8131, 335, 1118, 2401, 3478, 4982, 6128, 6224, 7684, 761, 1692, 2268, 3248, 4642, 5434, 6736, 7864, 884, 1948, 3074, 4038, 4623, 5867, 6859, 7943, 708, 1708, 2128, 3446, 4881, 6111, 7154, 7919, 756, 1905, 3005, 3452, 4700, 6170, 6631, 8086, 568, 1564, 2652, 3838, 4307, 5765, 6717, 7260, 334, 1597, 3035, 3297, 5128, 5976, 6923, 8080, 654, 2127, 2315, 3689, 4801, 5548, 6579, 8048, 654, 1147, 2833, 4166, 4622, 6149, 6786, 7831, 654, 2106, 2833, 3798, 4606, 5390, 7006, 8093, 240, 1750, 2880, 3838, 4859, 6000, 6883, 8130, 240, 1750, 2614, 3359, 5138, 5493, 6604, 7716, 419, 1851, 2880, 4145, 5166, 5514, 6996, 7831, 789, 2017, 3021, 3595, 4398, 5436, 7207, 8185, 568, 1851, 2720, 4125, 4691, 6000, 7001, 7887, 1102, 1209, 2677, 3277, 4590, 5832, 7043, 8267, 973, 1769, 2345, 3651, 4216, 6135, 6718, 7542, 786, 1438, 2344, 4007, 4352, 5658, 6529, 7997, 247, 1934, 2345, 3804, 4650, 5594, 6262, 7561, 1080, 1157, 2240, 3273, 4364, 5594, 6546, 7581, 678, 1760, 2975, 4154, 4801, 5764, 6448, 7805, 1090, 1831, 2498, 4035, 4690, 5804, 6347, 7607, 778, 2095, 2352, 4096, 4419, 5472, 7230, 7476, 850, 1141, 2865, 4103, 4663, 5639, 6579, 7649, 408, 1141, 2926, 3984, 4804, 5843, 6648, 7778, 646, 1540, 2207, 3894, 4652, 5513, 6915, 7692, 862, 1283, 3116, 3972, 5051, 5605, 6672, 7900, 839, 1806, 2210, 3417, 4333, 5325, 6400, 7796, 495, 2053, 2944, 3741, 4527, 5470, 6623, 7771, 1090, 1942, 2661, 4035, 4725, 5574, 6256, 7869, 510, 1876, 3006, 3917, 4878, 6205, 6625, 7831, 818, 1847, 2946, 3645, 4287, 6051, 7120, 8076, 186, 1876, 3135, 4018, 5106, 6137, 7149, 8260, 859, 1937, 2709, 4074, 4212, 5360, 7023, 7641, 356, 2106, 3110, 4145, 5038, 5413, 7168, 8188, 757, 1742, 2137, 3994, 4312, 6084, 6844, 7927, 518, 1905, 2664, 4093, 4844, 5908, 6506, 8083, 654, 1249, 2432, 4132, 4863, 5825, 7024, 8266, 654, 1550, 2147, 4021, 4715, 6101, 6740, 7810, 654, 1286, 2554, 3550, 4890, 5515, 6589, 7717, 228, 1851, 2341, 3376, 4535, 5767, 6612, 8118, 240, 1606, 2554, 3623, 5159, 6157, 7100, 7715, 240, 1756, 2554, 4006, 5159, 5296, 7129, 8132, 228, 1851, 2875, 3586, 4398, 5764, 6612, 7929, 228, 1452, 2466, 3227, 4638, 6175, 6671, 8132, 228, 2111, 2565, 3827, 4387, 5963, 6752, 7677, 256, 2118, 2976, 3595, 4622, 5534, 7098, 8130, 543, 1623, 2830, 3518, 4344, 5942, 6560, 7563, 419, 1623, 2359, 3550, 4556, 5767, 6589, 7806, 488, 1622, 2806, 3595, 5079, 5296, 6584, 8236, 201, 1528, 2806, 3825, 4624, 6139, 7124, 8196, 201, 1528, 2806, 3825, 4704, 6139, 7124, 8147, 488, 1622, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 915, 1974, 2806, 3391, 4798, 5635, 6604, 7677, 488, 1528, 2164, 3893, 4624, 5635, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1648, 2164, 3893, 4624, 6139, 7226, 7766, 488, 1684, 3065, 3825, 4798, 6139, 7120, 7766, 915, 1147, 2164, 3914, 4624, 6163, 6794, 8223, 915, 1147, 2164, 3914, 4624, 6163, 7226, 8223, 915, 1648, 3021, 3825, 4798, 5635, 6584, 8261, 915, 1648, 2554, 3827, 4798, 5219, 6752, 8093, 915, 1684, 2554, 3825, 4704, 5811, 7120, 7485, 4, 2 ]

[ 1, 65, 48, 5, 28, 39, 30, 5, 43, 45, 53, 5, 5, 3, 797, 2017, 2833, 4174, 4512, 6205, 7120, 8147, 915, 1684, 3021, 3914, 4512, 5241, 6809, 7715, 860, 1528, 2806, 3825, 4624, 6139, 7077, 8147, 555, 1320, 2970, 3662, 4512, 5276, 6979, 7664, 334, 1286, 2138, 4166, 4423, 6149, 7207, 7588, 334, 1286, 2491, 4068, 4412, 6149, 6749, 8198, 334, 1633, 2717, 3611, 5179, 5400, 6235, 7458, 568, 1345, 2542, 3862, 5138, 5223, 7243, 7318, 757, 1623, 2432, 3966, 4344, 5758, 6614, 7920, 304, 1918, 2980, 3983, 4877, 6051, 6589, 8132, 685, 1942, 2709, 3540, 5006, 5840, 6486, 7318, 271, 1550, 2144, 3826, 4774, 5733, 6224, 7405, 807, 1682, 2156, 3351, 4539, 6016, 7012, 7683, 807, 1335, 2595, 4064, 4694, 6107, 6560, 8117, 160, 2079, 2282, 3955, 4985, 6123, 7120, 8061, 390, 1881, 2729, 4005, 4511, 5944, 7232, 7914, 308, 1218, 2803, 3540, 4366, 5573, 7120, 8260, 684, 1620, 2947, 4114, 4912, 6085, 7207, 7631, 512, 1668, 2936, 4174, 5104, 5901, 6786, 8179, 684, 1238, 3098, 3188, 4215, 5694, 7132, 7949, 390, 1881, 3110, 3990, 5038, 6182, 6979, 7723, 308, 1869, 3064, 4135, 5159, 6211, 6996, 8260, 492, 1363, 2802, 3680, 4478, 5893, 6443, 7487, 993, 1794, 2658, 3448, 4544, 5983, 7030, 7476, 1019, 1255, 3029, 3309, 4617, 6155, 6267, 7637, 992, 2048, 2332, 3986, 4991, 5752, 6614, 8213, 620, 1397, 3035, 3449, 4539, 5929, 6413, 8140, 807, 1545, 2260, 3570, 4949, 5600, 6474, 8270, 582, 2009, 2607, 3570, 4995, 6170, 6976, 7383, 1040, 1550, 2129, 3943, 4321, 6181, 6535, 7794, 986, 1932, 2400, 4007, 4306, 5651, 6601, 8096, 850, 1550, 2222, 3635, 4604, 5304, 6466, 7288, 807, 1881, 2543, 3391, 5023, 5810, 7237, 7707, 937, 1289, 2429, 3480, 4995, 6154, 6466, 8143, 831, 1778, 2751, 3751, 4900, 5441, 6540, 7797, 684, 1623, 2729, 3175, 4215, 5963, 6859, 7816, 804, 1906, 2729, 3407, 5104, 5514, 6589, 8260, 757, 1320, 2924, 3188, 5160, 5911, 6414, 7707, 1020, 1676, 2361, 3970, 4755, 5544, 7047, 7869, 955, 2008, 2771, 3662, 5097, 6171, 7072, 7962, 986, 1742, 2555, 3394, 4206, 5557, 6281, 7797, 839, 1640, 2718, 3613, 4589, 6034, 6348, 8028, 902, 1545, 2751, 3323, 5031, 5639, 6528, 7414, 850, 1550, 3061, 3751, 4604, 5220, 6306, 7415, 862, 1397, 3116, 3764, 4845, 5721, 7104, 7881, 839, 1732, 2381, 3329, 4350, 5904, 6466, 7270, 668, 1202, 2751, 3708, 5016, 5827, 6916, 8009, 668, 1108, 3029, 3605, 4473, 6016, 7175, 7563, 373, 1504, 2564, 3957, 4781, 5730, 6470, 7955, 940, 1182, 2533, 4174, 5166, 6131, 6298, 7717, 970, 1331, 2820, 4145, 4993, 6128, 6935, 7902, 424, 1363, 2582, 3679, 4700, 5761, 7207, 7962, 678, 1455, 2939, 3873, 5115, 5749, 6893, 7764, 390, 1858, 2957, 3908, 4912, 6146, 6752, 8195, 308, 1750, 3007, 3226, 5038, 5883, 7084, 7485, 956, 1945, 3128, 4145, 4366, 5705, 6786, 7782, 488, 1528, 2957, 3893, 5058, 5705, 7207, 7949, 142, 1528, 2914, 3825, 4704, 6139, 6794, 7949, 818, 1218, 2164, 4174, 4624, 6129, 7201, 7766, 818, 1622, 3110, 3893, 4798, 5241, 7201, 7766, 555, 2106, 2806, 3931, 5038, 5219, 7226, 8147, 859, 2002, 3147, 4145, 5060, 5436, 7077, 7563, 859, 2002, 3064, 3550, 5060, 5241, 6810, 7715, 105, 1876, 2833, 4006, 4214, 5515, 6996, 7563, 617, 1345, 3064, 3931, 4890, 5981, 7100, 8061, 617, 1345, 2941, 3891, 4549, 5767, 6996, 7865, 617, 1695, 3143, 4092, 4764, 6175, 7160, 7715, 617, 1468, 2833, 4153, 4555, 5580, 6604, 7563, 105, 1345, 2941, 3891, 4549, 6160, 6809, 7865, 617, 1468, 2775, 3827, 4555, 5364, 7098, 7980, 617, 1695, 2792, 3518, 4304, 5677, 6313, 8061, 617, 2013, 2941, 3857, 4870, 5350, 6291, 8237, 105, 2111, 2858, 3518, 4700, 6182, 6709, 7732, 4, 2 ]

[ 1, 66, 45, 52, 5, 77, 73, 5, 51, 14, 54, 5, 64, 48, 5, 77, 20, 63, 5, 41, 39, 64, 5, 44, 54, 5, 45, 66, 5, 14, 78, 5, 30, 44, 64, 66, 45, 55, 51, 66, 52, 47, 5, 14, 78, 5, 44, 54, 5, 16, 5, 53, 45, 63, 35, 5, 5, 3, 797, 1648, 2970, 3825, 4704, 6211, 6752, 8147, 488, 1648, 2914, 3893, 4798, 6186, 6752, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8147, 142, 1622, 2914, 3893, 4704, 6186, 7226, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 334, 1756, 2669, 3183, 5143, 5778, 6566, 7524, 225, 1286, 2341, 3586, 4512, 5223, 6772, 8132, 757, 2106, 2432, 4113, 5135, 5519, 6630, 8016, 863, 1804, 2839, 3595, 4470, 5530, 7162, 8132, 189, 1561, 2321, 3178, 5121, 6002, 6480, 7826, 528, 2114, 2678, 3421, 4482, 5801, 6595, 7671, 314, 1782, 2762, 3765, 4433, 5350, 6977, 8268, 1023, 1472, 2346, 4130, 4860, 5320, 7232, 7398, 363, 1777, 2282, 3218, 5110, 5347, 7055, 7419, 920, 1557, 2750, 3485, 5151, 5863, 6708, 7518, 881, 1826, 3074, 3543, 4358, 5224, 7154, 7784, 884, 1461, 2203, 3245, 4402, 5938, 6497, 7896, 936, 1826, 2161, 4106, 5124, 5874, 7035, 7435, 1025, 1283, 2836, 3421, 5000, 6000, 6623, 7463, 103, 1797, 2701, 3982, 4859, 6002, 6267, 7673, 103, 1206, 2381, 4007, 4933, 6181, 6840, 8073, 807, 1827, 3064, 3850, 4804, 5589, 6612, 8262, 807, 1827, 2302, 3859, 4576, 5880, 7241, 8199, 487, 1708, 2595, 3832, 4437, 5602, 6962, 7530, 487, 1708, 2287, 3376, 4764, 5441, 6265, 7256, 993, 1472, 2401, 3376, 4989, 5904, 6830, 8111, 993, 1472, 2607, 3776, 4297, 5344, 6612, 7275, 610, 1918, 2506, 3662, 4278, 6218, 6619, 7664, 684, 1966, 2163, 3732, 4589, 5466, 7160, 7677, 914, 1915, 3021, 4071, 4622, 6211, 6579, 8236, 1099, 1791, 3021, 4068, 4859, 6123, 6515, 7570, 579, 1386, 3046, 3726, 5144, 5840, 6577, 7899, 579, 1467, 3046, 3755, 4251, 6084, 7024, 8030, 731, 1174, 2958, 3806, 4181, 5950, 7218, 7902, 908, 1570, 2506, 3421, 4708, 5839, 6267, 7865, 908, 1653, 2353, 3824, 5022, 5435, 6803, 8072, 569, 1323, 2750, 3644, 4459, 5341, 7174, 7680, 104, 2125, 2595, 4037, 4437, 6148, 7090, 8012, 1035, 1915, 2659, 3943, 4334, 5788, 6308, 7761, 831, 1773, 2708, 3573, 4727, 6103, 6884, 8117, 453, 1994, 2542, 3516, 4844, 5573, 6820, 7959, 654, 2045, 3018, 4007, 5190, 5776, 6515, 7481, 195, 1633, 3052, 3562, 5041, 5558, 6486, 8028, 127, 1332, 3144, 4078, 4611, 5658, 6898, 7846, 195, 1332, 2466, 3595, 4398, 5767, 6486, 7753, 654, 2002, 2669, 3777, 4877, 5678, 6979, 8185, 654, 1490, 2554, 3413, 4630, 5413, 6688, 7946, 654, 1345, 2792, 3227, 4549, 5550, 6486, 8130, 654, 2111, 2560, 3930, 4859, 5953, 7024, 7421, 518, 1961, 3133, 3420, 4549, 5837, 6889, 8102, 228, 1345, 2729, 3227, 4980, 6157, 6579, 8185, 391, 2013, 2327, 3227, 4423, 5694, 6231, 7312, 676, 1286, 2315, 3782, 4307, 5797, 7065, 7962, 722, 1905, 2508, 3709, 4615, 5863, 7039, 8203, 962, 1133, 2208, 3709, 4571, 6181, 7203, 7677, 986, 1400, 2464, 4103, 4379, 5280, 6724, 7404, 986, 1655, 2380, 3719, 4542, 5565, 6909, 8135, 545, 1205, 2658, 3376, 4863, 5218, 6412, 7393, 856, 1633, 2282, 3253, 4666, 5224, 6724, 7846, 582, 1305, 2282, 3535, 5072, 5441, 6491, 7727, 487, 1827, 2422, 4128, 5079, 5590, 7203, 8249, 545, 1826, 2222, 3623, 4793, 6159, 6898, 8236, 103, 1190, 2855, 3376, 4458, 5840, 7103, 7333, 981, 1637, 2282, 3838, 4854, 6009, 6853, 7429, 1024, 1252, 2293, 3826, 4238, 5624, 6291, 7348, 975, 1596, 2137, 3582, 5047, 5373, 6298, 7976, 975, 1926, 2890, 3836, 4715, 5750, 6905, 8079, 386, 1503, 3088, 3946, 4742, 5321, 6625, 7955, 1030, 1180, 2710, 3243, 5121, 6034, 7195, 8096, 339, 1178, 2137, 3890, 5189, 6062, 6716, 7684, 531, 1641, 2133, 3356, 4972, 5648, 6561, 8191, 531, 1641, 2205, 3159, 4873, 5224, 6832, 7560, 736, 1550, 2728, 3184, 4683, 5510, 6952, 7739, 1035, 1294, 2137, 3906, 4439, 5900, 7200, 7883, 1015, 2020, 2988, 3169, 4303, 5267, 6842, 7632, 256, 1649, 2730, 3470, 4622, 5571, 6371, 7918, 518, 2106, 2167, 3945, 5080, 5661, 6936, 8150, 878, 1968, 2880, 4125, 5080, 5514, 6296, 7275, 256, 2068, 2730, 4153, 4991, 6046, 7232, 8130, 518, 1313, 3007, 4113, 4622, 5580, 6607, 7401, 489, 1851, 2391, 3710, 4622, 5837, 6269, 7813, 518, 1175, 2468, 4005, 5003, 5350, 6776, 8164, 901, 2106, 2468, 3803, 4555, 5385, 6789, 7806, 844, 1388, 2238, 4150, 4529, 5963, 6292, 7693, 166, 1689, 2807, 3922, 4921, 6095, 6224, 7636, 1036, 1411, 2261, 3184, 5092, 5268, 6560, 8241, 920, 1834, 2375, 3651, 4943, 5933, 6812, 7297, 545, 1554, 2710, 4120, 4715, 5770, 6900, 7901, 487, 1407, 2453, 3182, 4966, 5652, 6392, 7275, 582, 1707, 2429, 3272, 5193, 5523, 6880, 7442, 545, 1924, 2678, 3838, 4321, 5652, 6816, 8016, 986, 2079, 2708, 4126, 5023, 5742, 6224, 8040, 211, 1635, 3033, 3449, 4539, 5606, 6591, 7617, 256, 1462, 2356, 4149, 5135, 5749, 6267, 7255, 568, 2127, 2991, 3789, 5193, 5830, 7152, 7509, 654, 1876, 2454, 3886, 4863, 5705, 7232, 7255, 654, 1550, 2349, 4006, 5167, 5481, 7239, 7770, 654, 1147, 2167, 3934, 4776, 5723, 6668, 8130, 228, 1851, 2941, 3376, 4762, 6166, 7103, 7753, 654, 1147, 3064, 3914, 4522, 5678, 7006, 7697, 183, 1147, 2729, 3838, 4859, 5520, 6740, 8016, 391, 1147, 2903, 3993, 4191, 5956, 6898, 7688, 862, 1905, 2502, 3421, 4224, 5771, 6749, 7845, 1004, 1773, 2872, 4072, 4809, 5583, 6442, 7920, 737, 1721, 2872, 4072, 4852, 5711, 6796, 7442, 462, 1289, 2890, 3214, 4755, 5880, 6345, 8207, 299, 1130, 2401, 3214, 4273, 5650, 6999, 7426, 536, 2125, 2882, 4072, 4962, 6033, 6542, 7524, 1090, 1459, 2761, 4072, 5134, 5749, 6967, 7564, 610, 1459, 2970, 3440, 4782, 5550, 6920, 7753, 1035, 1700, 2795, 3905, 5092, 5952, 6648, 7383, 887, 1782, 2856, 3595, 4764, 5810, 6793, 8179, 986, 1978, 3125, 3273, 4593, 5279, 7232, 7607, 902, 1564, 2817, 3442, 4185, 5706, 6984, 7494, 691, 1561, 3040, 4147, 4321, 5771, 6373, 7592, 639, 1797, 2882, 3857, 4597, 6002, 7043, 8046, 424, 2034, 2396, 3276, 5016, 6050, 6575, 8261, 405, 1847, 2761, 3851, 5169, 5614, 6256, 7996, 1099, 1218, 2880, 4114, 4888, 5963, 6515, 8016, 818, 1791, 3110, 3374, 4888, 6103, 6709, 7677, 1099, 1791, 3135, 4011, 5080, 6175, 7239, 7806, 956, 1998, 3117, 3825, 5058, 5705, 6677, 7631, 617, 1937, 2356, 4026, 5169, 5550, 7047, 7846, 225, 2097, 2669, 3827, 5106, 5515, 7114, 8262, 105, 2052, 3133, 3994, 4782, 5436, 6840, 7876, 945, 1528, 2914, 3827, 4583, 6103, 7226, 8147, 201, 2017, 2806, 3825, 4704, 6139, 7201, 8223, 488, 2017, 3117, 3367, 4624, 5635, 7124, 7766, 488, 2017, 2914, 3825, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 3065, 3893, 4798, 6186, 6794, 8223, 915, 1648, 2806, 3825, 4387, 5677, 6752, 8196, 915, 1648, 2164, 3893, 4512, 5677, 6752, 8196, 419, 1623, 2172, 3914, 4549, 6205, 6671, 7717, 555, 1648, 3021, 3374, 4877, 5677, 6584, 7715, 555, 1147, 2970, 4166, 4888, 6163, 6996, 8080, 555, 1684, 2970, 3825, 4877, 5811, 7120, 8126, 915, 1684, 2970, 3803, 4890, 5981, 6794, 7303, 488, 1622, 3065, 3893, 4387, 5811, 6752, 8080, 488, 2017, 2914, 3893, 4624, 5635, 7226, 8147, 488, 2017, 2914, 3893, 4624, 5635, 7226, 8223, 142, 1528, 2806, 3825, 4798, 6186, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6186, 7124, 7766, 143, 1349, 2436, 4037, 4662, 5626, 6755, 7774, 1031, 1140, 2825, 3940, 4376, 5742, 7038, 7487, 499, 1349, 2812, 3700, 4421, 5200, 6560, 8058, 604, 1782, 2453, 3169, 5023, 5729, 6255, 8037, 616, 1476, 3116, 3995, 5096, 5952, 6847, 7935, 825, 1672, 2725, 3855, 4800, 6104, 7172, 8143, 1005, 1335, 2327, 3535, 4241, 6119, 6422, 7462, 160, 1719, 2710, 4007, 4205, 5320, 6925, 8239, 115, 1971, 2988, 3480, 4555, 5334, 6491, 7451, 518, 1503, 2720, 3165, 4400, 5825, 7030, 7927, 699, 1897, 2904, 3746, 4923, 5332, 6240, 8262, 654, 2111, 3147, 3602, 4225, 6103, 7006, 7303, 127, 2078, 2880, 3528, 5079, 5811, 7103, 8179, 228, 1937, 2729, 3570, 4863, 5901, 6889, 8179, 240, 1684, 2970, 3879, 4681, 6129, 7090, 7557, 240, 1623, 2834, 3879, 4888, 5296, 6810, 7641, 789, 1623, 2880, 3803, 4398, 6182, 7132, 8130, 789, 1851, 2880, 3914, 4512, 6139, 7124, 8130, 789, 2078, 3065, 3990, 4782, 5436, 7024, 7715, 240, 1304, 2560, 4041, 4870, 5515, 6677, 7715, 962, 1935, 2725, 3540, 5168, 6075, 6254, 8023, 660, 1721, 2953, 3376, 4706, 5788, 6965, 7778, 806, 1458, 2239, 3877, 4887, 6165, 7175, 7369, 988, 2125, 2990, 3844, 4804, 5656, 7192, 7778, 459, 2058, 2697, 3882, 4604, 5564, 6865, 7411, 225, 1853, 2359, 3746, 4429, 5918, 7184, 8001, 195, 1971, 2341, 3566, 4569, 5515, 7173, 8261, 195, 1736, 2923, 3851, 5159, 5215, 7069, 8001, 195, 2058, 3133, 3478, 4651, 5795, 7103, 7906, 225, 1684, 2473, 3595, 4602, 5788, 6898, 8130, 518, 2127, 2791, 3595, 4859, 6086, 6776, 7716, 127, 1585, 3021, 3891, 4737, 5515, 7129, 7557, 518, 1898, 3021, 3838, 5083, 5296, 6840, 7706, 240, 1623, 2781, 4174, 4870, 6149, 6612, 8260, 240, 1490, 2221, 3407, 4863, 6149, 6889, 7906, 789, 1750, 2914, 4145, 4512, 6139, 6579, 7806, 915, 1623, 2914, 3550, 4681, 5514, 6589, 7557, 419, 2098, 2914, 3391, 4918, 5241, 6515, 7563, 518, 1961, 2287, 3364, 5159, 5436, 7219, 7260, 195, 1935, 3144, 3394, 4782, 5438, 6584, 8016, 857, 1637, 2820, 4141, 5120, 5223, 6840, 8188, 640, 1721, 2921, 4015, 4796, 5564, 7078, 7402, 1004, 1205, 2481, 3421, 4642, 6029, 6435, 7973, 986, 1682, 2335, 3279, 4946, 5257, 7021, 7864, 1033, 1948, 2225, 3273, 4539, 6217, 6866, 7468, 1071, 1763, 2695, 3496, 4343, 5700, 6443, 8067, 160, 1771, 3150, 3183, 5169, 5438, 6251, 7868, 150, 1797, 2740, 4041, 5160, 6187, 7167, 8069, 424, 1306, 2905, 3496, 4343, 5698, 6899, 7753, 390, 1620, 2905, 3778, 4861, 5704, 6979, 7607, 955, 2024, 2996, 4005, 4435, 5899, 6771, 8093, 510, 1963, 2925, 3932, 5159, 5548, 7220, 7312, 1097, 1876, 3150, 3789, 5080, 5548, 7058, 8093, 510, 1869, 3135, 3516, 4980, 5534, 6786, 7876, 1097, 1869, 3043, 3825, 4630, 5630, 6709, 8147, 510, 1791, 3007, 4085, 4588, 5630, 6752, 8237, 1097, 1623, 2991, 3982, 4551, 5705, 7239, 8260, 510, 1562, 2167, 4018, 5080, 6182, 7077, 8076, 541, 1623, 2818, 3710, 4836, 5246, 7018, 8066, 105, 1675, 2970, 3904, 4351, 5580, 6889, 7508, 1071, 1596, 2675, 3602, 4940, 6103, 7120, 8022, 1071, 1596, 2868, 3948, 4801, 5297, 6998, 8095, 115, 1189, 2536, 4094, 4988, 5344, 6832, 7607, 988, 1496, 2486, 3424, 4934, 5880, 6901, 8224, 646, 2118, 2316, 3165, 4814, 5886, 6298, 7983, 1103, 1472, 2869, 3246, 4727, 6145, 6571, 7329, 664, 1597, 3116, 3577, 4664, 5344, 6650, 8110, 862, 1118, 3040, 3329, 4946, 5800, 6689, 7442, 880, 1640, 2751, 3225, 4448, 6065, 6952, 8139, 569, 1550, 2751, 3723, 4855, 5776, 6985, 7442, 807, 1865, 2402, 3560, 4476, 5656, 6878, 7758, 487, 2095, 2777, 3855, 4459, 5810, 7056, 7999, 545, 1320, 2797, 3171, 4918, 5869, 6706, 7955, 844, 1118, 2818, 3623, 4835, 6006, 7043, 8128, 103, 1989, 2669, 3456, 4364, 5486, 7018, 7652, 510, 1963, 2925, 3623, 4456, 5433, 7120, 8112, 288, 1876, 2729, 3710, 5139, 5797, 6810, 7421, 427, 1620, 3021, 4166, 4622, 6103, 7168, 8076, 935, 1876, 2925, 4145, 5038, 6137, 7111, 8267, 915, 1623, 2730, 3873, 4890, 5493, 7010, 8260, 555, 2017, 3021, 3440, 5061, 5901, 6786, 8260, 555, 1304, 2970, 3827, 4611, 6103, 7077, 8179, 859, 1750, 2858, 3827, 4583, 5677, 7232, 7303, 337, 2106, 3065, 3374, 4624, 6137, 7077, 7677, 337, 2032, 3143, 4166, 4888, 5305, 6752, 8223, 337, 2032, 2493, 3827, 5159, 5219, 6752, 8054, 860, 1622, 3065, 3825, 4624, 6139, 7077, 7766, 142, 2017, 2914, 3825, 4704, 6186, 7226, 8196, 488, 1648, 2833, 4071, 4624, 6186, 7120, 7766, 899, 1992, 2833, 4145, 5080, 5892, 6889, 8179, 660, 1349, 2453, 3743, 4597, 5526, 6694, 8064, 739, 1805, 2453, 4095, 4510, 6002, 7079, 7912, 584, 1497, 2282, 3576, 4995, 5408, 7094, 7912, 189, 1588, 2751, 4047, 5027, 5929, 7087, 8017, 683, 1422, 2581, 3995, 4531, 5339, 6467, 7842, 646, 1112, 2951, 4043, 4661, 5600, 7037, 7765, 825, 1669, 3116, 3706, 4727, 5880, 6840, 8177, 927, 1853, 2244, 4126, 4364, 5378, 6912, 8150, 654, 1347, 2858, 3749, 4849, 5419, 6860, 8236, 195, 1540, 2858, 4089, 4801, 5778, 6749, 7603, 195, 2041, 2669, 3671, 4780, 6182, 6655, 8069, 874, 1963, 2725, 3918, 4985, 5563, 6242, 7563, 955, 1519, 2945, 3391, 4521, 5276, 7095, 7753, 802, 1118, 2562, 3752, 4602, 5486, 6313, 7976, 665, 1942, 2910, 3752, 4701, 5370, 6312, 8140, 1040, 1112, 2149, 4007, 4359, 5313, 6974, 7810, 988, 1636, 2951, 3767, 4972, 5837, 6805, 8176, 761, 2024, 3097, 3488, 4364, 6067, 7035, 8140, 641, 1171, 2606, 4015, 4533, 5276, 6560, 8016, 424, 1171, 2936, 3776, 5053, 5944, 7043, 7838, 610, 1809, 2963, 3430, 5072, 5429, 6684, 7383, 104, 1399, 2564, 3233, 4952, 5539, 6811, 7906, 569, 1496, 2660, 3293, 5050, 6016, 6965, 8132, 536, 1880, 2186, 3370, 5019, 5566, 7063, 7786, 326, 1789, 2149, 3169, 4364, 5809, 6529, 8148, 404, 1525, 2824, 3743, 4819, 5837, 6510, 7793, 665, 1707, 2888, 3421, 4472, 5524, 6772, 8038, 569, 1354, 2716, 3882, 4881, 5471, 6726, 7779, 1071, 1644, 2868, 3352, 4734, 5202, 6615, 8153, 1025, 1820, 2975, 3704, 4213, 5951, 6364, 8245, 1035, 1553, 2868, 3674, 4191, 5944, 6775, 7865, 752, 2059, 2272, 3918, 4615, 5440, 7069, 7878, 641, 1350, 3075, 3425, 4385, 5937, 7004, 7570, 424, 1568, 2166, 3795, 5190, 5784, 6646, 7878, 391, 1186, 2258, 4115, 5079, 6016, 6574, 7367, 335, 1808, 2785, 4082, 5115, 5935, 7070, 7547, 160, 1553, 2887, 3838, 5079, 6002, 7090, 7748, 1071, 1808, 2947, 3704, 5160, 6128, 6301, 7574, 1025, 1186, 3053, 3258, 5088, 5277, 6938, 7476, 1035, 1553, 2658, 3391, 4308, 5740, 7237, 7498, 535, 1919, 2188, 3579, 4702, 5311, 6932, 7989, 535, 1951, 2796, 3814, 5077, 5656, 7219, 8046, 462, 1951, 2785, 3966, 4216, 6044, 6224, 7683, 665, 1695, 2158, 3421, 4916, 5505, 6803, 7288, 1040, 1126, 2627, 3843, 4981, 5366, 6269, 7279, 880, 1375, 2532, 4003, 5048, 5574, 6287, 8099, 862, 1375, 2798, 3300, 5161, 5828, 6260, 8117, 938, 1597, 2440, 3460, 4652, 5775, 6797, 8038, 1101, 1758, 2345, 3792, 4996, 5614, 6847, 7509, 347, 1653, 2589, 3465, 5065, 6088, 6799, 7628, 91, 1294, 2566, 3305, 4669, 5918, 6296, 7753, 759, 1742, 2881, 3390, 5031, 5610, 6756, 8201, 981, 1758, 3018, 3717, 4437, 5865, 6464, 7402, 1038, 1956, 2436, 3570, 4226, 5409, 6556, 7789, 961, 1934, 2429, 4087, 4384, 5470, 6820, 7904, 923, 1236, 3018, 3941, 4814, 6126, 6468, 7436, 1063, 1139, 3018, 3258, 4927, 5523, 6917, 7476, 465, 1653, 2981, 3656, 5148, 5250, 6452, 7903, 265, 1151, 3080, 4037, 4601, 6070, 6325, 7510, 987, 1835, 2951, 3295, 4330, 5285, 6649, 7452, 738, 1490, 3116, 3995, 4337, 6220, 7241, 7899, 643, 1490, 3070, 3648, 4485, 5778, 6596, 7920, 662, 1615, 2271, 3425, 4812, 5396, 6761, 7313, 575, 1273, 2346, 3321, 4267, 5746, 6252, 7964, 235, 1346, 2980, 3404, 4489, 5573, 6625, 8262, 373, 2065, 2866, 3740, 4437, 5829, 6840, 7879, 288, 1869, 2554, 3231, 5138, 5911, 6772, 8252, 510, 2065, 2307, 4108, 4398, 5439, 7215, 7870, 935, 1705, 2949, 3914, 4387, 5385, 7149, 7948, 186, 2068, 3095, 3825, 5058, 6175, 6988, 7658, 935, 2017, 2991, 4114, 4624, 6014, 7077, 8185, 935, 2017, 3110, 4041, 5166, 5241, 7124, 8179, 818, 2017, 2781, 3803, 4798, 6081, 6752, 8223, 488, 1528, 2781, 3825, 4624, 5901, 6794, 7766, 488, 1528, 2914, 3893, 4888, 5635, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 14, 78, 5, 64, 16, 51, 64, 33, 64, 41, 16, 52, 5, 14, 78, 5, 23, 35, 5, 54, 39, 28, 35, 78, 3, 945, 1528, 2806, 3825, 4704, 5901, 7217, 8147, 945, 1528, 3065, 4071, 4624, 6129, 7077, 8147, 427, 1976, 2803, 4011, 4870, 5436, 6774, 7908, 880, 1719, 2339, 4168, 4844, 5625, 6659, 8092, 1070, 1631, 2239, 3227, 5030, 6215, 6836, 7711, 375, 1960, 3134, 4051, 4996, 6162, 6491, 7964, 966, 1679, 3063, 3320, 4760, 5706, 6449, 7922, 1070, 1331, 2170, 3429, 4400, 5333, 7135, 8018, 582, 1347, 2752, 3155, 4650, 6163, 6914, 7955, 613, 1522, 2734, 4003, 5168, 5250, 6452, 7602, 654, 1373, 2132, 3648, 4226, 5382, 6313, 7513, 127, 1206, 3128, 4106, 4398, 5824, 7232, 7537, 127, 1281, 2960, 3855, 4512, 5767, 7024, 8164, 518, 1664, 2918, 3623, 5127, 5811, 6774, 7807, 518, 1961, 3046, 3518, 4644, 6205, 6612, 8098, 654, 2111, 2473, 3605, 4211, 5514, 6830, 8080, 518, 1606, 2132, 3831, 4611, 5963, 6972, 7887, 518, 1332, 2560, 3407, 4622, 6110, 6466, 7303, 899, 2078, 3098, 3827, 4855, 5548, 6979, 8099, 937, 2000, 3040, 3676, 4214, 6146, 7132, 7641, 870, 1449, 2721, 4137, 5086, 5601, 6507, 7487, 856, 1617, 3016, 3313, 5169, 5582, 7098, 7854, 757, 1333, 3098, 3578, 4698, 5687, 6612, 7991, 859, 1198, 3021, 3908, 4424, 5276, 7220, 7255, 488, 1218, 2989, 4114, 4762, 5892, 7152, 8260, 488, 1508, 3021, 3945, 4782, 5832, 7084, 7664, 186, 1874, 3021, 3825, 4287, 5892, 7201, 8196, 818, 1508, 3128, 3440, 4888, 6195, 7132, 8237, 914, 1750, 2164, 4114, 4888, 5635, 6794, 7806, 252, 1719, 2709, 3901, 4493, 6077, 7179, 7868, 699, 2060, 2335, 3931, 4192, 5629, 6840, 7405, 654, 1586, 2971, 3966, 4993, 5719, 6412, 8096, 654, 2060, 2833, 3374, 5150, 5223, 7152, 7588, 654, 1286, 2904, 4113, 5134, 5650, 6988, 8227, 654, 2030, 2833, 3550, 5053, 5840, 6677, 8130, 518, 2127, 2904, 3407, 4993, 5963, 6840, 7948, 518, 1652, 2856, 3785, 4877, 5934, 7017, 7716, 878, 1585, 2833, 3276, 4379, 5901, 6708, 7715, 987, 1644, 2659, 4115, 5159, 5695, 7057, 8085, 204, 2046, 2856, 3371, 4611, 6110, 7187, 7980, 1098, 1396, 3125, 3495, 5165, 5902, 7169, 7659, 870, 1326, 2550, 3851, 4917, 5295, 6610, 8006, 870, 1326, 2824, 3313, 4332, 5415, 6494, 7971, 868, 2100, 2225, 3729, 4764, 5224, 6883, 7447, 448, 1548, 3097, 3763, 4934, 6118, 6675, 8031, 654, 1467, 2988, 3635, 4395, 6025, 7157, 7563, 654, 1556, 2506, 4125, 4681, 6166, 6740, 7494, 127, 2078, 2454, 3990, 4877, 5767, 6953, 8185, 240, 1326, 3133, 3827, 4459, 5515, 7165, 7715, 228, 1304, 2542, 3276, 5179, 5767, 6338, 7574, 228, 1525, 3099, 3682, 5075, 5767, 6338, 7899, 228, 2106, 2473, 3891, 4326, 5223, 6607, 8080, 518, 2002, 3000, 3798, 4326, 6175, 6677, 8126, 475, 1525, 2775, 4153, 4985, 5677, 6515, 7677, 789, 2106, 2473, 4026, 4536, 5942, 6551, 7476, 789, 2127, 3144, 3364, 4704, 6149, 7120, 8076, 256, 2017, 2473, 4174, 4888, 5210, 6291, 7717, 256, 1750, 2944, 3932, 4398, 5515, 6671, 8061, 256, 1851, 2554, 4071, 4398, 5436, 6752, 7631, 967, 1851, 3144, 4085, 4859, 6123, 6752, 7715, 171, 1459, 3006, 3983, 5104, 5493, 6688, 7485, 401, 1499, 2754, 4028, 4925, 5598, 7218, 7895, 1071, 1212, 2732, 3400, 4746, 6120, 6891, 7758, 1025, 1776, 2508, 4050, 4589, 5277, 6681, 8085, 1035, 1251, 2937, 3176, 4929, 5777, 7234, 7387, 778, 1387, 2633, 4016, 4978, 5512, 6994, 7627, 952, 1769, 2894, 4082, 4667, 5722, 6382, 7807, 371, 1251, 3123, 3223, 4364, 5696, 6768, 8114, 235, 1251, 2774, 4102, 4367, 5540, 7107, 7490, 110, 1769, 2976, 3685, 4494, 5835, 6494, 8116, 235, 2066, 2189, 3251, 4473, 5345, 6939, 7487, 970, 1236, 2894, 3512, 4835, 5980, 6540, 7962, 603, 1609, 2894, 3514, 4781, 6130, 7040, 7720, 643, 1916, 2482, 3521, 4781, 5838, 6348, 7604, 1051, 1912, 2231, 4112, 4371, 5552, 6890, 7706, 1022, 1721, 2476, 3379, 4532, 5345, 6735, 7965, 1051, 1867, 2791, 3989, 4513, 5901, 6824, 8195, 1081, 2094, 3102, 4098, 4978, 6120, 6755, 7720, 940, 2068, 2493, 4034, 4316, 6025, 7111, 7962, 288, 1933, 2321, 4098, 5101, 5424, 7084, 7638, 1097, 1981, 2880, 3440, 5060, 6014, 7077, 7768, 186, 2064, 2914, 4108, 4704, 6195, 6688, 8185, 186, 2017, 2957, 3645, 4624, 5705, 7111, 8195, 818, 1528, 2746, 3710, 5106, 5705, 7132, 7806, 935, 1622, 2925, 4174, 4583, 6103, 7084, 8179, 915, 1648, 2164, 3914, 4704, 5219, 7226, 7838, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 142, 1528, 2914, 3825, 4704, 5635, 7124, 8147, 488, 2017, 2164, 3893, 4624, 6186, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6211, 7077, 7766, 488, 1528, 2957, 3893, 5058, 5635, 7077, 8223, 818, 2017, 3065, 3825, 4624, 5635, 7006, 7949, 915, 1218, 2806, 4071, 5058, 6081, 7239, 7723, 987, 1919, 2953, 3446, 4597, 5730, 6612, 7547, 502, 1820, 2346, 3765, 4904, 5495, 6234, 7928, 830, 1434, 2568, 4015, 4224, 6135, 6704, 7658, 793, 1904, 2271, 3967, 4457, 5810, 6807, 7943, 1049, 1264, 2871, 3987, 4835, 5745, 6517, 7402, 1014, 1519, 2436, 3254, 4321, 5659, 7069, 7677, 654, 1557, 2615, 3648, 4530, 5276, 7149, 7275, 195, 2125, 2980, 3245, 4945, 5303, 6437, 8150, 518, 1430, 2959, 3915, 5135, 5734, 6753, 7756, 115, 1773, 2508, 3740, 4364, 6070, 6443, 7509, 752, 1189, 3034, 3981, 5020, 5618, 6550, 8182, 492, 1704, 2871, 3469, 4637, 5794, 6610, 7696, 161, 1496, 2348, 4056, 4719, 6043, 6481, 8190, 581, 1990, 3103, 3894, 4556, 5859, 6883, 7892, 1067, 1805, 2636, 4005, 4295, 5578, 6426, 7968, 778, 1279, 3132, 3370, 4718, 5979, 6237, 7930, 113, 1743, 2173, 3195, 4897, 5685, 7220, 8256, 1066, 1658, 2294, 4120, 4495, 6118, 6477, 7886, 333, 1633, 2555, 3712, 5193, 5451, 7088, 8190, 1067, 1897, 2888, 3193, 5066, 5833, 6678, 8033, 778, 1535, 2871, 4137, 4884, 5387, 6935, 7462, 104, 1681, 3094, 3237, 4927, 5447, 6537, 7892, 113, 1660, 2653, 3318, 4339, 5344, 6803, 7369, 976, 1135, 2365, 3601, 4327, 5871, 6476, 7527, 360, 1858, 2396, 3623, 5141, 5869, 6668, 7862, 1057, 1685, 2757, 3631, 4730, 5835, 6736, 7862, 404, 1758, 2387, 3468, 4781, 5972, 6760, 8170, 536, 1758, 3039, 3432, 4700, 5579, 7197, 7726, 1025, 1821, 2414, 3687, 4872, 5771, 7061, 8099, 887, 1581, 2629, 3707, 4971, 5911, 7012, 7811, 850, 1676, 3006, 3788, 4622, 5209, 6694, 7428, 778, 1755, 2129, 3982, 5088, 6181, 6302, 7846, 887, 1932, 3098, 3430, 4691, 5204, 7132, 7631, 104, 1915, 3034, 3540, 4440, 5294, 6871, 8070, 1025, 1809, 2989, 3885, 4966, 6085, 7017, 7852, 884, 1821, 2373, 3591, 4706, 5313, 6302, 7313, 326, 1695, 3029, 3967, 5004, 6092, 6521, 8022, 986, 1397, 3040, 4117, 4518, 5655, 6780, 7759, 807, 1550, 2785, 3329, 4934, 5270, 6894, 7873, 582, 1708, 2346, 3631, 4546, 5325, 6528, 7889, 986, 2009, 2751, 3417, 4882, 5954, 6899, 8012, 807, 1773, 2751, 3356, 4602, 5715, 7229, 8016, 487, 1540, 2346, 3169, 4604, 5297, 7021, 7724, 103, 2053, 3116, 3472, 4887, 6107, 7017, 7957, 103, 1577, 2582, 3741, 4432, 5250, 6850, 7814, 779, 1566, 2436, 4150, 4925, 5767, 7052, 8261, 779, 1363, 3038, 3352, 5088, 5210, 7058, 8076, 308, 2068, 2556, 4145, 4782, 5219, 6668, 7476, 779, 1562, 3128, 4145, 4551, 6129, 7077, 7664, 308, 1280, 3043, 3516, 4925, 5981, 7218, 7766, 914, 1963, 3007, 3226, 5038, 5694, 7239, 7876, 308, 1753, 2943, 4151, 4762, 6222, 7077, 8076, 891, 1463, 3135, 3361, 4670, 5899, 7160, 7906, 981, 2003, 2440, 4081, 4387, 5627, 6787, 7815, 981, 1966, 2905, 3433, 4556, 5673, 7173, 7833, 725, 1581, 2511, 3486, 4224, 5362, 6787, 7930, 692, 1463, 2190, 3437, 5120, 5506, 6829, 8177, 913, 1479, 2905, 3424, 4496, 5980, 6316, 7842, 643, 1147, 3026, 3779, 4365, 5954, 7021, 7571, 913, 1294, 2891, 3162, 4728, 5743, 7153, 8030, 643, 1738, 2778, 3680, 5009, 5706, 6324, 7412, 91, 1948, 2891, 3380, 4533, 5226, 6740, 7355, 1001, 1280, 2744, 3920, 4636, 5843, 7154, 7808, 575, 1738, 2775, 4025, 4545, 6196, 7017, 8034, 1001, 1510, 2900, 3943, 4415, 5335, 6270, 7422, 603, 2065, 2796, 3975, 4881, 5366, 6809, 7259, 1016, 1510, 2633, 3956, 4379, 5590, 6672, 8098, 678, 1557, 2741, 4135, 4615, 5633, 6840, 8107, 981, 1510, 2860, 3602, 4364, 5960, 7227, 7683, 940, 1507, 2951, 3570, 4949, 5723, 6500, 7615, 403, 1948, 2730, 3886, 4555, 5911, 6382, 8107, 715, 1826, 2789, 4097, 4555, 6070, 6949, 7822, 228, 1826, 2801, 4125, 4611, 5202, 6895, 8267, 228, 2108, 2422, 4092, 4859, 5250, 6277, 7537, 228, 1961, 2953, 3827, 4877, 6110, 7098, 7485, 518, 2065, 2172, 3407, 5079, 5276, 7090, 7887, 228, 1750, 3147, 3227, 5159, 5892, 7091, 8076, 256, 2127, 2529, 3803, 4859, 5635, 7120, 7293, 543, 1623, 2554, 4125, 4877, 5514, 6740, 7716, 488, 1623, 2914, 3914, 5168, 5677, 6996, 7677, 860, 1528, 2806, 3914, 4704, 5892, 7077, 8196, 488, 1622, 2806, 3893, 4624, 6139, 7124, 8147, 488, 2017, 3117, 3367, 4624, 6139, 7124, 7766, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 31, 16, 5, 62, 35, 53, 45, 65, 16, 54, 5, 44, 54, 5, 20, 52, 5, 67, 45, 55, 78, 5, 66, 73, 5, 52, 33, 66, 5, 23, 35, 5, 63, 44, 51, 76, 33, 64, 66, 64, 5, 28, 48, 5, 53, 39, 30, 5, 54, 57, 54, 5, 66, 73, 5, 42, 11, 30, 5, 76, 69, 30, 5, 28, 48, 5, 16, 5, 41, 39, 66, 16, 52, 5, 76, 17, 54, 5, 41, 20, 63, 5, 17, 64, 5, 45, 41, 5, 45, 66, 5, 53, 33, 54, 66, 5, 31, 14, 66, 5, 42, 11, 30, 5, 76, 69, 30, 5, 20, 52, 76, 40, 78, 5, 42, 45, 75, 5, 17, 64, 5, 76, 17, 66, 5, 76, 48, 5, 14, 64, 51, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 6709, 8147, 488, 2017, 3117, 3367, 4624, 6186, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4798, 6081, 7124, 8237, 571, 2125, 2838, 3945, 5166, 5216, 6988, 8237, 731, 1676, 2795, 3975, 4782, 5840, 6830, 7421, 448, 1796, 2708, 4026, 5144, 6073, 6980, 7470, 249, 1596, 2361, 3454, 4525, 5878, 6308, 7678, 632, 1509, 2900, 4128, 4507, 5308, 6463, 7527, 373, 1828, 2802, 3558, 4429, 5701, 7141, 8125, 1099, 1897, 3022, 3955, 4374, 5540, 6809, 7811, 804, 1750, 2803, 3932, 4670, 5558, 7168, 7782, 935, 1175, 3064, 3645, 5061, 5730, 6786, 7485, 935, 1992, 2834, 4108, 5061, 5219, 7201, 7948, 512, 2068, 3109, 4114, 5166, 6051, 6996, 7421, 143, 1463, 2989, 3563, 4895, 5643, 6726, 8173, 617, 1381, 3092, 4011, 4844, 5543, 6612, 8213, 942, 1141, 3061, 3987, 4681, 5534, 6502, 8014, 392, 1770, 2777, 3989, 5156, 6160, 6631, 7413, 556, 1157, 2511, 3403, 4622, 5315, 6442, 8225, 840, 1512, 2737, 4034, 4618, 5517, 7165, 7900, 1024, 1981, 2805, 3727, 4297, 5910, 6774, 8146, 731, 2063, 3053, 3300, 4733, 5796, 6525, 7524, 767, 1400, 2946, 3253, 5018, 5637, 6987, 7594, 335, 1886, 2946, 3513, 5003, 5687, 6726, 7291, 767, 1886, 2923, 4078, 4553, 5534, 6540, 8240, 335, 1231, 2282, 3513, 4419, 6101, 7002, 7858, 685, 1655, 2352, 3248, 4467, 5764, 6870, 7732, 767, 1477, 3080, 3363, 4764, 5442, 6254, 7557, 767, 1668, 2552, 3352, 4235, 5844, 6725, 8267, 1040, 1557, 2359, 4005, 5075, 5305, 6573, 7611, 922, 1826, 2929, 3651, 4719, 5369, 7063, 7772, 880, 1942, 2565, 3747, 4230, 5781, 6401, 7537, 408, 1937, 2788, 3363, 4700, 6210, 6954, 7426, 778, 1905, 2230, 3995, 4935, 5422, 6227, 8017, 767, 1906, 2717, 3391, 4529, 5781, 6765, 7865, 568, 1982, 3021, 4026, 5043, 5530, 6938, 8092, 334, 1286, 2128, 4026, 4318, 5873, 7120, 7438, 421, 1597, 2740, 3798, 5191, 5875, 7103, 7498, 568, 1958, 2148, 4124, 4923, 6118, 6419, 7860, 568, 1876, 2468, 3870, 4570, 5831, 7069, 8236, 568, 2013, 2468, 3771, 5115, 5677, 6603, 7624, 757, 2034, 2468, 3376, 4954, 5356, 7010, 7537, 757, 1112, 2340, 3424, 4412, 6109, 6430, 8066, 757, 1112, 2282, 3272, 5025, 5811, 6935, 7732, 757, 1452, 3021, 3363, 5135, 5400, 6506, 8076, 552, 1218, 3133, 4011, 4782, 5837, 7120, 7764, 731, 1218, 2656, 3815, 4630, 5924, 7152, 8066, 722, 1522, 2487, 3977, 4606, 5300, 6443, 8252, 611, 1468, 2361, 3615, 4444, 6118, 6847, 7697, 668, 1755, 2888, 3566, 5145, 5521, 7062, 8165, 547, 1938, 2607, 3503, 5130, 6080, 6780, 7703, 913, 1830, 2937, 3983, 4399, 5760, 6248, 7934, 692, 1368, 2175, 3565, 4601, 5316, 6466, 7980, 731, 1363, 2340, 3967, 5157, 5730, 6881, 7619, 948, 2081, 2440, 3271, 4274, 5911, 6830, 7516, 731, 2091, 2564, 3750, 4573, 6014, 7000, 7319, 223, 2091, 2564, 4073, 4254, 5824, 6240, 7876, 643, 1509, 2564, 4152, 4788, 6033, 7228, 7677, 970, 1812, 2440, 3233, 4644, 5506, 7184, 8265, 504, 1141, 2915, 4126, 4536, 6088, 6494, 7472, 678, 1388, 2440, 3251, 4791, 5350, 6723, 8134, 575, 1252, 2979, 3464, 4999, 5641, 7046, 7248, 234, 1938, 2543, 3891, 4278, 5764, 6884, 7501, 1101, 1652, 2938, 4154, 4356, 5971, 6224, 7957, 981, 1707, 2783, 3751, 4387, 5836, 6762, 7873, 504, 1112, 2836, 3576, 4606, 5671, 6663, 7986, 725, 1707, 3003, 4080, 5142, 5486, 6809, 8015, 986, 1306, 2751, 3530, 4433, 5829, 7237, 7990, 1040, 1755, 2751, 3615, 4755, 5880, 6947, 7822, 881, 1630, 2665, 3920, 4321, 5687, 6835, 7954, 778, 1333, 2751, 3973, 5169, 6065, 6476, 7527, 778, 2036, 2429, 3999, 4615, 5344, 6860, 8213, 887, 2053, 3053, 4027, 4279, 6001, 6604, 8188, 150, 2053, 3033, 4096, 4646, 5710, 6292, 7941, 1101, 1630, 2235, 4078, 4744, 5585, 6870, 7420, 535, 1828, 2689, 3499, 4708, 5938, 7073, 7698, 884, 2009, 2173, 3154, 4897, 5803, 6708, 7881, 784, 2050, 3112, 4095, 4722, 5358, 6958, 7490, 150, 1348, 3010, 3637, 4642, 5386, 6247, 7358, 736, 1948, 2749, 3248, 4509, 5954, 6403, 7787, 917, 1167, 2749, 4128, 5083, 5379, 6965, 8030, 1067, 1271, 2173, 3289, 4368, 5412, 7148, 8256, 150, 1849, 2690, 3880, 4314, 6138, 7045, 7873, 643, 1482, 2173, 3804, 4550, 5911, 7047, 7953, 1067, 1469, 2349, 3514, 4852, 6174, 6375, 7894, 150, 1469, 2807, 4010, 5198, 5571, 6957, 7873, 386, 1469, 2807, 3447, 4285, 6164, 6780, 8113, 938, 1469, 2705, 3747, 5065, 5261, 6723, 8257, 970, 1775, 2452, 3429, 4640, 5565, 6632, 8159, 970, 1469, 2633, 3750, 5044, 5366, 6731, 8266, 504, 1469, 2807, 3875, 4554, 5824, 6613, 8222, 678, 1693, 2858, 3323, 4267, 5359, 7154, 7264, 779, 1693, 2679, 3819, 4235, 5858, 6967, 7870, 211, 2028, 2198, 3737, 5020, 5824, 6755, 7846, 288, 1467, 2356, 4016, 4900, 5761, 6774, 7898, 256, 1467, 2729, 3595, 4533, 6110, 7099, 7438, 256, 2030, 3133, 3886, 4555, 5413, 6709, 7641, 256, 1452, 2781, 3219, 4358, 5684, 7044, 7408, 256, 1452, 2880, 4153, 4622, 5630, 7129, 8164, 256, 2030, 3109, 3827, 5088, 5827, 6515, 7908, 256, 1750, 2473, 3866, 4549, 5219, 6584, 7715, 256, 1851, 3064, 3407, 4412, 6085, 7160, 8266, 899, 1851, 3007, 3680, 4583, 6119, 6515, 7677, 959, 1400, 3043, 4153, 4859, 5677, 7230, 7704, 1067, 1331, 2433, 3991, 5106, 5884, 6881, 8168, 363, 1349, 2311, 3740, 4510, 5810, 7056, 7974, 896, 1717, 2897, 3792, 4534, 6010, 6267, 7881, 487, 1393, 2415, 3635, 4644, 5720, 6790, 7408, 487, 1233, 3020, 3653, 4604, 5393, 6267, 7496, 487, 1581, 3029, 3601, 4595, 5573, 7154, 7697, 986, 1581, 3029, 3605, 4586, 5818, 6422, 7664, 850, 1141, 2401, 3605, 4539, 5884, 7158, 7883, 424, 1912, 2751, 3560, 4588, 5441, 6242, 7899, 663, 1399, 2946, 3472, 4925, 6084, 6723, 7752, 424, 1849, 3101, 3732, 5088, 5641, 7044, 7602, 641, 2094, 2440, 3410, 4912, 5838, 7098, 7717, 408, 1747, 2926, 4096, 4374, 5678, 6260, 7608, 641, 1455, 2436, 3538, 4536, 6084, 7065, 7687, 104, 1510, 2298, 3488, 5014, 5810, 7098, 7312, 391, 1876, 2429, 3649, 4359, 5573, 6967, 8143, 408, 1509, 2661, 3822, 4536, 5512, 6842, 8066, 104, 1399, 2492, 4030, 4536, 5538, 7018, 7582, 993, 1255, 2429, 3660, 4204, 6131, 7157, 8172, 150, 1881, 2436, 3659, 4900, 5409, 6476, 7481, 887, 1397, 2436, 3822, 5171, 5814, 7160, 8040, 887, 1978, 2610, 3832, 4212, 5472, 7207, 7868, 104, 1797, 2552, 3516, 5107, 5810, 6521, 7965, 1025, 1494, 2369, 3272, 4426, 5790, 6393, 7677, 610, 1139, 2874, 3917, 4986, 5884, 6647, 7806, 610, 1306, 3145, 4096, 4925, 5589, 6708, 7533, 424, 1747, 2503, 3201, 4602, 5589, 7019, 8080, 811, 1139, 2988, 3442, 5151, 5409, 6584, 7579, 228, 1566, 2869, 3472, 4576, 5276, 7017, 7898, 654, 1186, 2880, 3596, 4582, 5223, 6486, 7664, 518, 1756, 3064, 3798, 4437, 6123, 6840, 7949, 518, 1756, 2775, 4125, 5115, 5811, 6731, 8066, 518, 1750, 3091, 3930, 5164, 5811, 6604, 7750, 240, 1623, 2880, 3595, 4870, 5493, 6607, 7537, 789, 1756, 2880, 3966, 4549, 5413, 6988, 7563, 419, 1756, 2473, 3893, 5079, 5963, 6988, 8147, 915, 1756, 2806, 3914, 4398, 6186, 6889, 7766, 915, 2078, 2914, 3595, 4398, 5963, 6996, 8237, 419, 2078, 2473, 3893, 4555, 5223, 6709, 7716, 901, 2078, 2709, 3513, 4512, 5901, 6520, 7303, 568, 1525, 2548, 3986, 4985, 5963, 6544, 7557, 757, 1198, 2506, 3443, 4763, 5584, 6607, 7857, 1062, 1139, 2289, 3457, 4727, 5204, 7025, 7948, 752, 1146, 2763, 3601, 4948, 5250, 6899, 7957, 826, 1399, 2207, 3992, 4582, 5923, 6731, 7309, 150, 1581, 2506, 3427, 4404, 5486, 6876, 7284, 895, 2050, 2750, 3998, 5122, 5989, 6825, 7648, 547, 1682, 2282, 3999, 4920, 6000, 6803, 7821, 844, 1553, 2137, 4014, 4545, 6147, 7030, 7528, 708, 1889, 2212, 3304, 4412, 5425, 6348, 7931, 923, 2095, 3080, 3479, 4807, 5723, 6631, 8248, 582, 1972, 2573, 3525, 4364, 5899, 7033, 7494, 902, 1496, 3039, 3449, 4308, 5440, 6371, 8047, 1066, 1828, 2403, 3424, 5160, 5988, 6720, 8095, 465, 2099, 2348, 3511, 4364, 5352, 7035, 7785, 536, 1938, 2260, 3611, 4283, 6080, 6799, 8190, 271, 1349, 2410, 3239, 4992, 6141, 6847, 7554, 1057, 2009, 2724, 3421, 4946, 5335, 6493, 7816, 1057, 1349, 2688, 4034, 4541, 5527, 6809, 7303, 424, 1349, 3149, 3904, 4529, 5835, 6657, 7502, 1097, 1248, 2326, 3866, 4980, 5514, 7160, 7831, 356, 1620, 2947, 3891, 4387, 5978, 7006, 7591, 844, 1974, 2940, 3505, 4179, 6024, 6734, 7887, 1067, 1510, 2534, 4026, 5075, 5408, 6873, 8238, 1067, 1490, 2689, 3721, 5151, 5668, 6808, 7944, 1067, 1940, 2731, 3197, 4773, 5220, 6348, 7386, 840, 2088, 2810, 3486, 4834, 6002, 7022, 7736, 1062, 1589, 2536, 3759, 4739, 6007, 6622, 7604, 113, 1743, 2309, 3191, 4343, 5465, 6866, 8123, 1066, 1168, 3090, 4059, 5085, 5379, 6884, 7624, 738, 1581, 3107, 3463, 4790, 5642, 6516, 7367, 235, 1897, 2970, 3713, 4805, 5565, 6945, 7750, 770, 2003, 3094, 3979, 5011, 5592, 6258, 7501, 770, 2036, 2209, 3962, 4379, 5596, 7055, 8135, 113, 1873, 2690, 4098, 4510, 5249, 7221, 8016, 1008, 1924, 2966, 3309, 4552, 5806, 6350, 8213, 961, 1893, 2762, 3973, 5114, 5571, 7085, 7684, 271, 1770, 2592, 3940, 4665, 5209, 6716, 7816, 1011, 1512, 2974, 3701, 5166, 5408, 6786, 7716, 776, 1369, 3092, 3857, 5165, 5590, 7005, 7918, 1024, 1770, 2144, 3334, 4322, 6146, 7122, 7852, 504, 2079, 2878, 3962, 4653, 5590, 6719, 7358, 424, 1770, 3144, 3776, 4379, 5221, 7114, 7962, 1090, 1821, 3092, 4151, 4925, 5978, 7098, 7409, 1011, 1930, 2878, 3918, 4807, 5924, 6528, 8130, 1024, 1139, 2874, 3499, 5145, 5610, 6848, 7311, 806, 1918, 3039, 4153, 4804, 5605, 6974, 7421, 487, 1324, 2587, 3911, 4450, 5474, 6523, 7480, 862, 1397, 2741, 3502, 4945, 5347, 7098, 7305, 545, 1732, 2136, 3582, 4350, 5800, 7073, 7909, 103, 1906, 2387, 3741, 4733, 5653, 6860, 7248, 1097, 1876, 3007, 3885, 4225, 5767, 7006, 7816, 818, 1620, 3008, 3671, 4993, 6182, 6709, 7908, 818, 1874, 2730, 4114, 4912, 5241, 7084, 8237, 510, 1992, 3043, 3866, 4822, 5981, 7218, 7766, 914, 1620, 2880, 3825, 5106, 6123, 6979, 7485, 100, 1179, 2139, 3537, 4614, 5540, 6935, 7602, 100, 1237, 2266, 3662, 5192, 5889, 6321, 7919, 1015, 1619, 2925, 4124, 4696, 5359, 6671, 7574, 579, 1937, 2729, 3598, 4215, 5419, 6800, 7605, 132, 1945, 2957, 4096, 5141, 6163, 6776, 7806, 390, 1660, 3143, 4114, 4470, 5883, 6830, 7806, 160, 1682, 2661, 3766, 4196, 5216, 6524, 7798, 895, 1317, 2726, 3271, 4359, 5763, 6569, 8270, 465, 2059, 2494, 3728, 4539, 5983, 6897, 7977, 895, 1283, 2171, 3217, 4440, 5810, 6780, 7921, 895, 1510, 2562, 3493, 4539, 5306, 6523, 8010, 160, 1349, 2782, 3582, 4391, 5790, 7220, 7793, 390, 1283, 2636, 4158, 4555, 6203, 6575, 7361, 750, 2127, 2487, 3564, 4321, 5550, 7237, 7799, 757, 1878, 2166, 3761, 4541, 6070, 6998, 7701, 225, 1510, 2976, 4078, 4197, 5218, 6586, 7764, 228, 1623, 2833, 4111, 4612, 5433, 6820, 7786, 228, 2111, 3021, 3662, 5089, 5548, 7003, 7887, 228, 1264, 2473, 3407, 5079, 5705, 7160, 7664, 518, 2118, 2752, 3550, 4622, 6175, 6486, 8164, 228, 1750, 3147, 3838, 4512, 5811, 6612, 7715, 789, 1756, 2880, 3933, 5157, 5515, 6584, 7716, 419, 2017, 3021, 3595, 4859, 6186, 6889, 8126, 419, 1750, 2806, 3595, 4716, 5296, 6996, 7677, 419, 1851, 3133, 3413, 5083, 5493, 6996, 7677, 228, 1756, 2880, 3933, 5159, 5413, 6486, 7949, 228, 1525, 2221, 3838, 5007, 5677, 7069, 7336, 228, 1525, 2560, 3891, 4870, 5241, 7100, 7563, 488, 1752, 2554, 3914, 4870, 5548, 6515, 7485, 945, 1528, 3065, 3407, 4704, 6081, 6996, 7865, 142, 1528, 2914, 3825, 4704, 6186, 6794, 7716, 488, 1622, 2914, 3893, 4624, 6139, 6794, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 857, 1705, 2738, 3904, 4764, 5219, 6475, 7574, 271, 1932, 2795, 3508, 4762, 5366, 7041, 7311, 896, 1397, 2610, 3442, 4869, 5639, 7068, 7568, 443, 2008, 3029, 3239, 4493, 5765, 6275, 7821, 443, 1550, 3029, 3392, 5084, 5765, 6872, 7881, 807, 1721, 3116, 3208, 5020, 5993, 6623, 7881, 641, 2079, 2736, 3662, 5180, 6131, 7181, 8146, 424, 2125, 2661, 3842, 4691, 5767, 7132, 7664, 980, 2121, 2440, 3717, 4966, 6103, 7207, 7570, 610, 1238, 2661, 3544, 4536, 6085, 7019, 7776, 887, 1978, 2610, 3521, 4834, 5277, 6803, 7570, 1025, 1797, 2975, 3756, 4536, 5378, 7023, 7846, 778, 1935, 2429, 3231, 4780, 5536, 7098, 8236, 104, 1141, 3098, 3660, 4859, 6162, 7207, 8066, 1025, 1369, 2440, 4145, 4966, 5761, 6584, 8179, 826, 1255, 2222, 3593, 5153, 5981, 7098, 7677, 535, 1826, 2775, 3544, 4604, 5344, 6954, 8103, 139, 1397, 2415, 3273, 4985, 6100, 6512, 8117, 807, 1118, 2659, 3329, 4215, 5745, 7001, 7659, 545, 1732, 3074, 3537, 4589, 6120, 6914, 7857, 582, 1489, 2261, 3631, 4619, 5498, 6883, 7776, 1040, 1550, 2751, 3703, 4385, 5708, 6623, 8085, 986, 2064, 2751, 3776, 4534, 5823, 6803, 8240, 536, 1550, 2312, 4073, 4881, 5695, 6800, 7728, 545, 1850, 2989, 4073, 4448, 5317, 7175, 7401, 545, 2117, 2514, 3248, 4720, 5297, 7229, 7541, 487, 1915, 2708, 3631, 4604, 5393, 6267, 7313, 487, 1717, 2777, 3842, 4604, 5313, 7219, 7393, 487, 1717, 2943, 4015, 4627, 5315, 7017, 8017, 487, 1581, 2455, 3307, 4364, 5875, 6847, 8234, 487, 1581, 2352, 3417, 5050, 5527, 6669, 8210, 150, 1633, 2809, 3601, 4451, 6154, 6476, 7660, 103, 1771, 2636, 3472, 4642, 5678, 6439, 7677, 304, 1635, 2142, 3340, 5142, 5652, 6507, 8078, 779, 1330, 3008, 4145, 4782, 6103, 7018, 7876, 288, 1791, 3064, 3671, 4912, 5844, 7129, 8179, 308, 1998, 3064, 4115, 4980, 6051, 6734, 7570, 1056, 1540, 3135, 3917, 4670, 6081, 6688, 7949, 1056, 1945, 2895, 3671, 5159, 5883, 7239, 8076, 510, 1467, 2924, 3886, 4287, 6129, 6786, 8076, 663, 2068, 2783, 3671, 4912, 6195, 6996, 7723, 980, 2121, 2980, 3657, 5106, 6007, 7006, 8066, 831, 1175, 2783, 3961, 4822, 5661, 6830, 8085, 778, 2090, 2766, 4166, 4849, 6129, 6787, 7574, 335, 1146, 3033, 3334, 4536, 5893, 6702, 8267, 424, 1878, 2926, 4078, 4849, 6182, 6677, 7508, 391, 2102, 2881, 3929, 5061, 5980, 6938, 8037, 831, 1232, 3033, 3801, 4337, 5516, 6850, 7570, 778, 1633, 2258, 3334, 4536, 5318, 6704, 7948, 880, 2107, 2139, 3918, 4419, 5613, 6938, 7959, 930, 1283, 2736, 4153, 4319, 5325, 6917, 7796, 404, 1490, 2635, 3788, 5081, 5273, 6756, 7813, 692, 1828, 2352, 3578, 4456, 5769, 6476, 7982, 895, 1145, 2173, 3456, 4693, 5810, 6649, 7800, 641, 1326, 2736, 3314, 4332, 5982, 6800, 8006, 778, 1499, 2659, 3300, 4915, 5761, 6566, 7819, 104, 1275, 2595, 3940, 4924, 5405, 7048, 7904, 850, 1146, 2520, 3388, 4622, 5663, 6286, 7955, 993, 1867, 2383, 3176, 4181, 6058, 6908, 8079, 826, 1633, 2798, 3873, 4380, 6123, 7063, 8107, 150, 1924, 2456, 3771, 4586, 5796, 7006, 8040, 887, 1581, 2750, 3396, 4510, 5259, 6761, 8093, 887, 1255, 2429, 4150, 5085, 5687, 6918, 8209, 887, 1717, 2834, 3945, 4440, 5836, 7019, 8236, 1090, 2107, 3064, 4055, 4429, 5765, 6774, 7957, 288, 1562, 2582, 3982, 5159, 6195, 6256, 7641, 956, 1581, 3110, 3710, 4912, 5340, 7160, 8066, 510, 1998, 3043, 4108, 5104, 6146, 6979, 8083, 183, 1108, 2843, 4027, 4411, 5684, 6646, 7715, 225, 1108, 3033, 4011, 4630, 5873, 6589, 8261, 390, 1388, 2560, 4143, 4870, 6137, 6338, 7919, 1033, 1306, 2775, 4085, 5073, 5350, 6224, 7505, 299, 1388, 2552, 3928, 5124, 5512, 6811, 7492, 299, 1299, 2436, 4137, 4804, 5538, 7103, 8150, 299, 1299, 2309, 3605, 4195, 6006, 6404, 7962, 887, 1199, 2503, 3937, 4925, 5844, 6377, 7599, 1056, 1146, 2369, 3901, 4896, 5844, 7100, 8107, 308, 1791, 3008, 4171, 4287, 6063, 6725, 7421, 1099, 1620, 2783, 4114, 4583, 6085, 6979, 7948, 1056, 1881, 3110, 3671, 5058, 6182, 7006, 7723, 308, 1705, 2989, 3226, 5038, 5705, 6809, 7723, 405, 1620, 2975, 3803, 4529, 5901, 7162, 7421, 1056, 2073, 2793, 3945, 5169, 5385, 6688, 8267, 1025, 1624, 2436, 3822, 4764, 5687, 7149, 7887, 826, 1608, 2188, 3162, 4942, 5228, 6614, 7706, 137, 2059, 3101, 3728, 4795, 5643, 6373, 7367, 880, 2059, 2311, 3232, 4741, 5631, 6391, 7807, 840, 1679, 2751, 3469, 4810, 5784, 6313, 8048, 536, 1903, 2273, 3422, 5100, 5496, 7072, 7736, 1030, 1850, 2678, 4112, 5176, 5442, 6484, 7904, 1066, 1702, 3085, 3154, 4741, 5298, 6614, 7273, 763, 1224, 2282, 3851, 4459, 5632, 6650, 7503, 1067, 1900, 2282, 3438, 4741, 5325, 6344, 7955, 192, 1780, 2751, 3356, 4508, 5880, 6653, 7886, 482, 1751, 2137, 3607, 5018, 6119, 6566, 8056, 738, 1581, 3102, 3424, 4982, 5235, 6850, 8111, 192, 1560, 2595, 3694, 4321, 5616, 6870, 7394, 913, 1408, 2520, 3412, 4855, 5496, 7184, 7525, 641, 2120, 2693, 3701, 4187, 5555, 6825, 7869, 508, 1408, 2515, 3747, 4928, 5724, 6745, 7248, 1084, 1582, 2903, 3370, 4928, 5362, 7049, 7962, 113, 1865, 3011, 3488, 4924, 5293, 6234, 7880, 662, 1904, 2741, 4151, 4364, 5738, 6350, 7834, 1057, 2079, 2564, 3895, 5100, 5239, 6392, 7262, 424, 1918, 2458, 4096, 4672, 6204, 7004, 7664, 288, 1858, 2924, 3886, 5098, 5865, 6852, 7852, 1056, 1978, 2940, 3671, 4565, 5534, 6852, 8267, 804, 1791, 2895, 3671, 5088, 6182, 6871, 8185, 308, 1218, 2980, 4108, 5088, 5294, 6786, 7720, 1056, 1467, 2895, 4018, 5088, 5901, 6709, 7421, 884, 1633, 3106, 3904, 4534, 5979, 6917, 8178, 664, 1915, 2429, 3517, 4902, 5325, 7191, 7435, 876, 1553, 2688, 3483, 4457, 5512, 6588, 7728, 1062, 1422, 2848, 3191, 5124, 5613, 6892, 7452, 603, 1349, 2598, 3407, 4364, 5574, 7122, 7945, 804, 2111, 3056, 4143, 4713, 6063, 7084, 8085, 818, 2111, 2947, 4114, 4287, 6205, 7047, 8179, 818, 2017, 3008, 4115, 4912, 6131, 6515, 8147, 935, 1791, 3095, 3645, 5159, 6205, 7218, 8260, 915, 1528, 2746, 3914, 4630, 5241, 6752, 7631, 555, 1623, 2858, 3440, 4870, 6195, 7152, 7717, 105, 2106, 2791, 3440, 4549, 5767, 7168, 7706, 617, 1974, 2833, 3914, 4549, 5653, 6752, 7878, 617, 1750, 2858, 3570, 4782, 6129, 6607, 7732, 617, 2065, 2138, 3711, 4870, 6149, 6579, 7811, 105, 2111, 3147, 3440, 4549, 5661, 7152, 7563, 105, 2106, 2959, 3827, 4549, 5963, 7077, 7707, 105, 2106, 2833, 3518, 4512, 5385, 6988, 7485, 859, 1490, 2833, 3931, 4549, 5515, 7152, 7485, 105, 2106, 3064, 4071, 4549, 5385, 7168, 7715, 105, 2106, 3064, 3891, 4681, 5580, 6589, 7865, 859, 2111, 2858, 4166, 5190, 6137, 7160, 7707, 555, 1648, 2858, 3891, 5190, 5635, 7120, 8223, 555, 1648, 2806, 4068, 4512, 5385, 7120, 7715, 555, 1974, 2833, 3391, 5079, 5413, 6677, 7716, 915, 1648, 2833, 3914, 4624, 5550, 6515, 7865, 555, 1648, 2970, 3391, 4624, 5385, 7077, 7485, 915, 1528, 2858, 3891, 4622, 6139, 7129, 8080, 915, 2017, 2858, 3914, 4918, 5635, 7124, 8237, 488, 1648, 2806, 3893, 4624, 6139, 6677, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 8223, 818, 1648, 2806, 3893, 4624, 5832, 6786, 7485, 223, 1275, 3063, 3982, 5060, 5761, 7129, 7715, 1033, 1296, 2985, 3400, 4284, 5694, 7095, 8266, 614, 1296, 2894, 4030, 4389, 5702, 7237, 8126, 1029, 1266, 2129, 3251, 4978, 5448, 6854, 8011, 363, 1402, 2207, 3243, 4566, 5357, 6715, 7394, 1101, 1470, 2940, 3979, 4697, 5478, 7245, 7317, 403, 1494, 3075, 3662, 4627, 6123, 7079, 7799, 1099, 1682, 3098, 3955, 5139, 5378, 7111, 8126, 684, 1280, 2803, 3990, 4980, 5635, 7239, 7887, 684, 1797, 3128, 3226, 4822, 5630, 6972, 8267, 684, 2000, 2991, 4166, 5080, 6211, 7077, 7766, 510, 1467, 3095, 4108, 4822, 6123, 7201, 8185, 512, 1675, 2947, 4068, 5166, 5210, 6979, 7949, 390, 1540, 3043, 4108, 5061, 5573, 6786, 8066, 448, 1826, 2818, 3789, 4384, 5514, 6967, 7831, 1033, 1164, 2470, 3298, 4181, 6123, 6914, 7962, 103, 1174, 2515, 3251, 4392, 5981, 6518, 8132, 103, 1234, 3020, 3245, 4902, 5887, 6813, 7823, 613, 1954, 2365, 3217, 4926, 6171, 6860, 7981, 448, 1336, 2912, 3961, 4586, 5873, 6772, 7706, 986, 1562, 2958, 3245, 4620, 5771, 6933, 7764, 271, 1118, 2282, 3456, 4267, 5379, 6383, 7805, 234, 1126, 2704, 3454, 5043, 5333, 7193, 7975, 692, 1938, 2633, 4106, 4321, 6114, 6903, 7453, 759, 1651, 2726, 3882, 4276, 6118, 6410, 8198, 531, 1281, 2626, 4102, 4674, 5205, 6910, 7939, 373, 1299, 2766, 3181, 4326, 5595, 7059, 7729, 789, 1370, 2659, 3908, 4554, 5576, 6885, 8069, 789, 1597, 2468, 3595, 4589, 6182, 6840, 7547, 256, 2030, 2991, 3555, 4931, 5899, 7152, 7262, 256, 1851, 3021, 3710, 4412, 5513, 7129, 7876, 256, 1452, 2781, 3827, 5075, 5788, 6889, 7920, 256, 1452, 2880, 3595, 4743, 6103, 6889, 8164, 256, 1452, 2839, 4145, 4493, 5534, 6584, 7476, 256, 1452, 2880, 3914, 4622, 5515, 6752, 7537, 256, 2106, 2468, 4068, 4870, 5436, 6889, 7806, 256, 1147, 2468, 3866, 4555, 5241, 6677, 7715, 789, 1452, 2560, 4006, 4888, 5550, 6752, 8179, 256, 1623, 2473, 3376, 5061, 6175, 6688, 7716, 256, 2030, 3035, 3710, 4512, 5548, 6752, 8237, 256, 2017, 2473, 4145, 4681, 5514, 6996, 8179, 899, 1623, 2473, 3710, 5075, 5705, 6909, 8080, 878, 1525, 2729, 3363, 4877, 5216, 6901, 8227, 731, 1826, 3062, 3990, 4717, 5548, 6864, 7515, 392, 1886, 2238, 3298, 4467, 6160, 6678, 8241, 640, 1652, 2479, 3579, 4578, 5469, 6403, 8189, 807, 1606, 2365, 3338, 5145, 5789, 6465, 7274, 545, 1164, 2387, 3514, 4273, 5875, 6267, 8241, 582, 1363, 2311, 3963, 4937, 5976, 6602, 8236, 545, 1234, 2946, 3236, 4776, 6118, 6911, 7752, 582, 1363, 3017, 3943, 5193, 5944, 6224, 7557, 545, 1234, 3139, 4166, 4598, 6203, 6960, 7873, 103, 1499, 2636, 3575, 4651, 5733, 6861, 8260, 804, 1851, 2190, 3543, 4900, 6123, 6584, 7767, 804, 1623, 2991, 3595, 4762, 5752, 6709, 7919, 489, 1791, 2453, 4026, 4863, 5678, 6614, 7758, 756, 1797, 2469, 3226, 5007, 5548, 6515, 7753, 948, 1234, 2675, 3949, 4691, 5521, 6980, 8037, 840, 1183, 2881, 3529, 4308, 5594, 6478, 7936, 271, 1183, 2415, 3869, 4344, 5889, 7214, 7686, 150, 1682, 3040, 4046, 4474, 5410, 6966, 7690, 504, 1513, 3126, 3251, 4273, 5547, 6522, 7678, 643, 1926, 2929, 3279, 4921, 6130, 6522, 7904, 150, 1926, 2727, 3729, 4804, 5339, 6692, 7594, 271, 1440, 2189, 3878, 4379, 6031, 6224, 7901, 643, 2050, 2587, 3224, 4330, 6118, 6928, 7305, 887, 1478, 3010, 3856, 5184, 5369, 7071, 7838, 887, 1717, 2371, 4081, 4533, 5650, 6774, 7498, 1090, 1897, 2989, 3206, 5044, 6056, 6809, 7959, 663, 1897, 3008, 3240, 4700, 5219, 6410, 8141, 390, 1791, 2925, 4011, 4828, 5796, 6630, 7768, 831, 1318, 3095, 4108, 4308, 5385, 6979, 7706, 1025, 1478, 2641, 4039, 4746, 5439, 7218, 7629, 344, 1671, 2985, 3162, 4533, 6019, 7158, 7690, 277, 1244, 2966, 3221, 5011, 5244, 7007, 7360, 1030, 1897, 2260, 3880, 4605, 6173, 6563, 7597, 774, 1873, 2394, 3859, 4855, 5777, 6762, 8098, 1041, 1499, 2173, 4134, 4230, 5994, 7073, 7462, 1040, 2036, 2173, 3717, 4356, 5851, 6234, 7896, 536, 2043, 2509, 3181, 5158, 5512, 7238, 7990, 936, 2043, 2232, 3404, 4440, 5223, 6966, 7527, 936, 1255, 2693, 4152, 4714, 5323, 6751, 7904, 610, 2008, 2282, 3991, 5169, 5740, 6388, 7727, 150, 1881, 2923, 3396, 4278, 5297, 6411, 8040, 104, 1771, 2381, 3472, 5195, 5614, 6646, 8046, 104, 2079, 2678, 4027, 4613, 5784, 7197, 8047, 1025, 1350, 2716, 3771, 4426, 5344, 6786, 7914, 826, 1676, 2750, 3474, 5000, 6070, 6871, 7480, 424, 2053, 3053, 3771, 4890, 5279, 7033, 7643, 1090, 1275, 2340, 3870, 4387, 5390, 7136, 8236, 1099, 1566, 2860, 3516, 4782, 5340, 6515, 7948, 1097, 1851, 3110, 4108, 4691, 6160, 7010, 7715, 789, 1933, 3000, 3746, 5080, 5573, 7006, 7715, 256, 1791, 2473, 3413, 5061, 5901, 7182, 8179, 901, 2030, 2340, 4011, 4630, 5935, 7218, 8159, 878, 2030, 2454, 3726, 4284, 5796, 6694, 8188, 967, 2097, 2998, 3183, 5083, 6058, 7221, 8110, 211, 1845, 2998, 3540, 4619, 5220, 6515, 8061, 104, 1383, 2439, 3709, 4206, 5850, 7191, 7934, 344, 1703, 3090, 3213, 5018, 5835, 6796, 7491, 104, 1669, 2861, 3743, 4331, 5454, 6631, 8082, 113, 1469, 2897, 4134, 4205, 5565, 7198, 7904, 826, 1912, 2300, 3667, 4509, 6080, 6514, 7904, 895, 1440, 2483, 3813, 4639, 5347, 6805, 7592, 271, 1279, 2679, 3665, 4468, 5643, 6838, 7525, 569, 1674, 2581, 3187, 5154, 5408, 6504, 7807, 1003, 1674, 2915, 3963, 4416, 5783, 7195, 8268, 641, 1937, 2532, 3455, 4628, 5344, 7198, 7771, 693, 2052, 2555, 3385, 5100, 5302, 6487, 7401, 1011, 2003, 2424, 3877, 4290, 5260, 6885, 7396, 776, 1369, 2878, 3928, 5019, 5209, 7158, 7740, 1024, 1663, 2540, 3963, 5069, 5844, 6682, 7963, 913, 1937, 2218, 4060, 5100, 5964, 7147, 8034, 693, 1141, 2449, 4035, 4556, 5299, 6916, 7582, 803, 1865, 2766, 3248, 4429, 5441, 6530, 7515, 730, 1865, 2146, 4099, 4385, 5869, 6944, 7584, 1017, 1141, 2751, 3717, 4842, 5363, 6252, 7598, 265, 1918, 2580, 3937, 4966, 6059, 6901, 7771, 803, 2059, 2979, 3380, 4562, 6055, 6689, 8056, 693, 1581, 2564, 3802, 4345, 5632, 6698, 7726, 913, 1494, 2429, 3530, 4238, 5859, 6270, 8268, 568, 1931, 2436, 4027, 4519, 5390, 6819, 8213, 654, 1826, 2752, 4025, 4949, 5276, 6694, 7477, 654, 1468, 3139, 3204, 4795, 6175, 7232, 7965, 518, 1645, 2791, 3827, 5143, 5965, 7079, 8070, 654, 1826, 2473, 3518, 5075, 6066, 6607, 7248, 518, 2127, 2659, 3891, 5079, 5436, 6677, 7563, 654, 1826, 2221, 3374, 5075, 5534, 6909, 8261, 654, 1345, 2729, 3798, 4555, 5514, 6612, 7664, 654, 1826, 2792, 3777, 4918, 5581, 6757, 8080, 228, 2127, 2554, 3586, 4993, 5550, 7024, 7715, 228, 1345, 2341, 3586, 4398, 5223, 6443, 7706, 256, 2127, 3099, 3394, 4764, 5219, 6338, 8102, 543, 1750, 3147, 4174, 5079, 5981, 7077, 7563, 555, 1623, 3133, 3873, 5135, 5515, 6740, 7717, 860, 1528, 2806, 3825, 4870, 5514, 6338, 8147, 488, 1528, 2914, 3825, 4624, 5892, 6996, 7865, 488, 1622, 2914, 3825, 4704, 6139, 7077, 8147, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 1528, 3065, 3914, 4704, 6081, 7124, 8223, 915, 1648, 2560, 4113, 4798, 5901, 6338, 7766, 555, 1648, 2775, 3391, 4583, 5550, 6688, 8080, 859, 1750, 3021, 4006, 4387, 5767, 7077, 7723, 915, 1623, 3021, 3825, 5166, 6081, 6996, 8223, 555, 1623, 3064, 3873, 4583, 6081, 7129, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1622, 2806, 3825, 4704, 6139, 7124, 8223, 488, 1622, 3065, 3825, 4624, 5635, 7239, 8196, 789, 1508, 3021, 3914, 5038, 6123, 6840, 7723, 722, 1227, 2593, 3307, 5100, 5659, 6800, 8203, 660, 1494, 3018, 4132, 4774, 6184, 6864, 7904, 793, 1758, 2693, 3788, 5090, 5366, 6434, 8045, 1071, 1141, 2974, 3487, 4246, 5704, 7220, 7727, 708, 2073, 2272, 3709, 4398, 5223, 7182, 7781, 952, 1455, 2187, 3582, 4834, 5830, 6507, 8031, 862, 1171, 2638, 4005, 4682, 5588, 6982, 8111, 936, 1510, 2396, 3991, 5124, 5601, 6603, 7851, 664, 1915, 2610, 3605, 4321, 5631, 6457, 7683, 535, 1244, 2401, 3416, 4321, 6117, 6840, 8268, 1040, 1412, 2292, 3741, 4531, 5971, 7045, 7863, 103, 1889, 2241, 3820, 4801, 6117, 6426, 7799, 1099, 1623, 2729, 4174, 4792, 5705, 6830, 7831, 1097, 1587, 2991, 3827, 4287, 6195, 6972, 7557, 914, 1791, 2947, 3516, 5006, 5883, 6734, 7717, 308, 1791, 2946, 3732, 4387, 5705, 6584, 8080, 288, 1963, 2783, 4145, 5061, 5694, 7132, 7717, 955, 1931, 3098, 3886, 4633, 6007, 7160, 7806, 211, 1989, 2924, 3428, 5104, 5536, 7160, 7641, 650, 1930, 2440, 4011, 4753, 5797, 6382, 8214, 299, 2059, 2771, 3424, 5125, 6165, 6732, 7968, 462, 1283, 3029, 4066, 4689, 5439, 6692, 7860, 786, 1695, 3116, 3762, 5118, 6107, 7142, 7260, 807, 1938, 2149, 3772, 4564, 5898, 6456, 7531, 936, 1951, 2396, 3356, 4953, 5706, 6252, 7835, 271, 1326, 2728, 3755, 4351, 5706, 6726, 7686, 610, 2009, 2783, 4094, 4859, 6014, 6710, 7298, 778, 1755, 2429, 3696, 4229, 5797, 6604, 7821, 887, 1227, 3063, 4095, 5072, 5893, 6776, 8076, 1090, 1773, 2989, 4166, 5080, 5219, 7168, 7677, 935, 1562, 3144, 3990, 5038, 6025, 6972, 7664, 308, 2000, 2880, 4006, 4622, 5832, 7098, 7557, 914, 1791, 3128, 3516, 4888, 6014, 7157, 7753, 756, 1791, 2473, 4174, 5150, 5840, 7010, 8034, 304, 1206, 2633, 3487, 4326, 5361, 7218, 7584, 875, 1826, 2726, 3880, 4470, 5722, 6755, 8190, 462, 1938, 3146, 3261, 4529, 5566, 6225, 7844, 462, 1938, 3010, 4130, 5146, 5315, 7135, 7849, 920, 1397, 2225, 3396, 5029, 6135, 6905, 7598, 231, 1444, 3029, 3807, 4430, 5599, 6761, 7810, 804, 2079, 3144, 3826, 4592, 5210, 6677, 7476, 804, 1881, 3022, 3776, 4890, 6103, 7220, 7677, 308, 1218, 2957, 4011, 4859, 5767, 6584, 7876, 405, 1998, 2809, 3370, 5058, 5730, 6426, 7476, 1056, 2125, 2754, 3390, 4859, 5534, 6709, 7887, 571, 1467, 2880, 3740, 4861, 6103, 6979, 7421, 804, 1933, 3053, 4097, 4287, 5241, 7160, 7806, 308, 1218, 2806, 4108, 5104, 5661, 6302, 7876, 465, 1649, 2886, 4009, 4989, 5930, 6894, 7401, 876, 2033, 2487, 3170, 4572, 5541, 6560, 7975, 875, 1679, 2486, 3956, 4766, 5810, 6542, 7579, 360, 1828, 2369, 3580, 4799, 5205, 6716, 8117, 581, 2009, 2173, 3290, 4321, 6204, 7079, 7273, 302, 1499, 2173, 3154, 4212, 5506, 6726, 8129, 840, 1772, 2173, 3634, 4541, 5540, 6963, 7909, 536, 1854, 2173, 3524, 4557, 5569, 6920, 7518, 492, 1658, 2861, 4073, 4442, 5902, 6651, 7329, 113, 1215, 2790, 3520, 4295, 6010, 7065, 7829, 192, 1117, 2173, 3154, 4196, 5287, 6476, 7724, 302, 2050, 2662, 3486, 4499, 5621, 6644, 8139, 895, 1843, 2173, 3404, 4338, 5426, 7005, 8156, 1041, 1682, 3040, 3721, 4539, 5551, 6262, 7515, 360, 1710, 2610, 3322, 5031, 6077, 6521, 7950, 884, 1828, 2290, 4154, 4181, 5631, 7076, 7522, 610, 1557, 2615, 3493, 4298, 5706, 6426, 7854, 1056, 1318, 2980, 4096, 5019, 5684, 6830, 8267, 833, 1218, 2975, 3803, 4861, 5687, 6809, 7887, 645, 1581, 3006, 3487, 4426, 6146, 7069, 8093, 1025, 1897, 2931, 4171, 4589, 5898, 7095, 8184, 610, 1675, 2246, 3355, 5141, 5942, 6810, 7398, 887, 1675, 2503, 4074, 4635, 5747, 6265, 7279, 104, 1189, 2541, 3169, 4917, 5677, 6442, 7929, 936, 1867, 2648, 4162, 4773, 5861, 7073, 7804, 936, 1867, 3066, 4162, 4741, 5927, 7232, 7648, 936, 1141, 2261, 3375, 4731, 6042, 6567, 7254, 876, 1326, 3075, 3537, 4371, 5508, 6582, 7476, 91, 1806, 2798, 3564, 4278, 5489, 7041, 7810, 536, 1826, 2183, 3762, 4699, 5929, 6603, 7879, 668, 2009, 2597, 3421, 4731, 5539, 6579, 7696, 1080, 1685, 2688, 3276, 4894, 6002, 6268, 7426, 1008, 1674, 2509, 4044, 4348, 5658, 6645, 8112, 344, 1674, 2580, 3191, 4348, 6173, 6782, 8215, 277, 1674, 3003, 3643, 4652, 5945, 7198, 7270, 1001, 1674, 2948, 3736, 4813, 6117, 6267, 7599, 277, 1296, 2948, 3880, 4847, 5591, 6517, 7879, 344, 1469, 2831, 3279, 4457, 5508, 6700, 7527, 840, 1538, 2173, 3619, 4420, 5512, 6517, 8204, 123, 1948, 2173, 3729, 4321, 5598, 6252, 7905, 888, 1167, 2224, 3567, 4506, 5894, 6383, 7667, 150, 1316, 2225, 3567, 4474, 5934, 6947, 7598, 333, 2066, 2307, 3256, 4273, 5872, 6542, 7679, 266, 1440, 2954, 3750, 5152, 5571, 7136, 8044, 1024, 1270, 2888, 3452, 4642, 5245, 7192, 7836, 386, 2066, 2917, 3878, 4674, 5205, 7001, 7937, 938, 1469, 2710, 3721, 4208, 5894, 6911, 7248, 938, 1469, 2445, 4073, 5084, 5817, 6720, 7957, 970, 1469, 2349, 4081, 4318, 6013, 6579, 7740, 504, 1637, 2674, 4067, 5044, 5893, 6942, 8126, 1081, 1776, 2325, 3908, 5183, 5413, 6809, 7879, 678, 1548, 2198, 3512, 4925, 5702, 6620, 7260, 643, 1318, 2972, 3955, 4558, 5678, 6229, 8209, 271, 1562, 2445, 3803, 4543, 5850, 7047, 7568, 504, 1234, 2137, 4010, 4896, 5253, 6423, 7555, 314, 1838, 2847, 4043, 4738, 5972, 6581, 7902, 1080, 1682, 2429, 3915, 4248, 5567, 6623, 7846, 862, 1758, 2503, 3892, 4813, 5857, 6412, 7706, 487, 1510, 2631, 3853, 4985, 6031, 6442, 7657, 668, 1561, 2638, 3298, 4750, 6114, 7046, 8097, 986, 1834, 2514, 3754, 5142, 5352, 6651, 8097, 103, 1982, 2710, 3550, 5142, 6179, 6480, 7480, 103, 1302, 2750, 3550, 4429, 6137, 7111, 7764, 613, 1707, 2656, 3909, 4918, 5474, 6438, 7298, 1014, 2126, 2387, 3882, 4539, 5547, 7095, 7527, 1014, 1388, 3135, 3470, 4617, 5600, 6603, 8045, 317, 1146, 2542, 3674, 5088, 6149, 6224, 8213, 684, 1304, 2398, 3909, 4912, 6067, 7090, 7386, 818, 1796, 2326, 4011, 5058, 5797, 6709, 7421, 510, 1467, 2729, 3886, 5139, 5677, 6988, 8196, 956, 1945, 3007, 4071, 4630, 6211, 6972, 8260, 308, 1705, 3064, 4170, 5060, 5705, 7201, 8147, 804, 1218, 2783, 3916, 5061, 6211, 6972, 8076, 103, 1817, 2688, 3982, 4876, 5840, 7018, 8066, 868, 2053, 2669, 3994, 4792, 5417, 6772, 8117, 299, 1550, 2751, 3575, 4213, 5425, 6624, 7376, 443, 1732, 2751, 3642, 5169, 5443, 6932, 7828, 1101, 1489, 2830, 3329, 4708, 6193, 7035, 7826, 1057, 1139, 2282, 3437, 4706, 5325, 6372, 7362, 424, 1509, 2129, 3680, 4191, 5650, 6830, 7965, 308, 1620, 2925, 3540, 4374, 5259, 6688, 7949, 684, 2046, 2366, 4018, 5165, 5586, 7006, 7421, 405, 1906, 3110, 3932, 4762, 5694, 6607, 7918, 1056, 2041, 2838, 4113, 4782, 5661, 6988, 7715, 952, 1867, 2783, 4171, 4856, 5943, 7111, 8260, 150, 1849, 2677, 3496, 4852, 6164, 7008, 7583, 895, 1158, 2137, 3380, 4459, 5500, 7230, 7902, 895, 1786, 2486, 3403, 5127, 5526, 6953, 7787, 271, 1309, 2728, 4168, 4229, 5745, 6319, 7311, 992, 1664, 3049, 3499, 5100, 6101, 6762, 8154, 1057, 1679, 2429, 3741, 4634, 6143, 6783, 8039, 1084, 1738, 3130, 3452, 4804, 5695, 6831, 7683, 887, 1545, 3130, 3795, 4978, 6080, 6978, 7253, 104, 1608, 2436, 3520, 4478, 5276, 6951, 7624, 776, 1139, 2678, 4087, 4274, 5549, 6688, 8118, 756, 1455, 2871, 3623, 5139, 5788, 6904, 7256, 240, 1116, 3133, 3599, 4364, 5500, 6889, 8029, 225, 1452, 2669, 4166, 5120, 5687, 7232, 8111, 654, 1750, 3147, 3798, 5088, 5514, 6540, 7838, 228, 1851, 2791, 3394, 4638, 6221, 6485, 7574, 654, 1488, 2529, 4125, 4398, 6110, 6810, 7260, 228, 2060, 2725, 3689, 5157, 6110, 7168, 8061, 228, 1756, 2473, 3394, 4381, 6167, 6265, 8044, 228, 2106, 2221, 4125, 5083, 6157, 7207, 7537, 240, 1488, 2542, 3227, 4622, 5548, 6589, 8164, 543, 2127, 2473, 4145, 4344, 5677, 6996, 8126, 419, 1756, 2282, 3595, 4681, 5548, 6515, 7664, 915, 1622, 2560, 3595, 4859, 6149, 7129, 8237, 488, 2017, 2806, 3893, 4704, 5514, 6996, 7766, 488, 2017, 2914, 3893, 4704, 5514, 7077, 7715, 488, 1622, 2914, 3893, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8223, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7077, 8223, 510, 1791, 3135, 3367, 5159, 5635, 6996, 7766, 304, 1335, 3043, 3488, 4925, 5978, 7239, 8209, 150, 2048, 2224, 3196, 4781, 6027, 6862, 7791, 864, 1893, 2861, 3176, 4533, 5775, 6942, 8107, 547, 1897, 2966, 3164, 4991, 5439, 6426, 7574, 535, 1873, 2349, 4050, 4321, 5592, 6304, 7756, 1040, 1865, 2387, 3447, 4321, 5398, 6247, 7386, 171, 1198, 2594, 3776, 4881, 5737, 6480, 7254, 860, 1508, 2820, 3909, 4551, 5981, 6604, 8016, 935, 1705, 2932, 4170, 4374, 5883, 6566, 7715, 186, 2017, 2834, 3886, 5061, 5219, 7201, 8260, 450, 2073, 2730, 3226, 4324, 5436, 6996, 8107, 859, 1930, 3110, 3188, 5088, 5963, 6786, 7723, 512, 2046, 3135, 4166, 5058, 6211, 6996, 7766, 955, 1827, 3108, 3680, 5159, 6070, 7201, 8093, 1090, 1675, 2520, 3206, 4379, 5705, 6891, 7386, 776, 1146, 2980, 3671, 4287, 5231, 6972, 7290, 826, 2035, 2389, 4105, 4782, 6014, 7160, 7936, 443, 1838, 2708, 3475, 5127, 5699, 7017, 8205, 988, 1531, 3089, 4094, 4566, 6118, 6899, 7920, 936, 1732, 2156, 4155, 5011, 5234, 7086, 7532, 569, 1732, 2751, 3884, 4421, 5574, 6924, 7902, 986, 1932, 2751, 3631, 4421, 6050, 6908, 7752, 1025, 1550, 3033, 4039, 4609, 5344, 7012, 8210, 610, 1674, 2771, 3307, 4364, 5825, 6876, 7677, 887, 1550, 3116, 3307, 4816, 5251, 6899, 8069, 545, 1494, 2661, 4073, 4539, 5815, 7069, 7437, 582, 1350, 2688, 3457, 5075, 5880, 6224, 8061, 1040, 2056, 2751, 4128, 4454, 5513, 6608, 7261, 1062, 1361, 2536, 4007, 4901, 5315, 6611, 8203, 774, 1399, 2469, 3368, 4545, 6204, 6411, 7510, 581, 1596, 3029, 3386, 5092, 6172, 6478, 8026, 293, 1348, 2260, 3882, 5011, 5386, 6327, 7329, 508, 1675, 2625, 3779, 4599, 5858, 7238, 7844, 508, 1821, 2959, 3561, 5011, 5474, 6770, 7869, 306, 1605, 3123, 3329, 4503, 5727, 6710, 7333, 482, 1885, 2959, 3482, 4437, 5250, 6403, 8211, 1094, 1193, 2902, 3394, 4352, 5703, 7043, 8117, 833, 1847, 2941, 3561, 4278, 5250, 6249, 7855, 571, 1653, 2728, 4124, 5167, 5385, 6898, 8216, 684, 1653, 2340, 4011, 4486, 5216, 6732, 7299, 552, 1508, 2750, 3413, 5157, 5694, 6901, 7976, 405, 1705, 2959, 4145, 5115, 5656, 6291, 7664, 171, 1467, 2775, 3909, 4954, 6175, 6589, 7404, 475, 2065, 2936, 3374, 4980, 6129, 7207, 8179, 518, 2127, 2554, 3245, 4611, 5767, 6988, 7707, 518, 1550, 3133, 3487, 5075, 5581, 6988, 7563, 518, 2127, 2554, 3798, 4716, 5811, 6809, 7563, 518, 2127, 3133, 3785, 4580, 6110, 7152, 7919, 518, 1750, 2529, 4096, 4859, 5321, 6231, 7715, 256, 2127, 2554, 3798, 4993, 5760, 6338, 7831, 256, 2065, 2221, 3798, 4555, 5515, 6889, 7715, 256, 2127, 2473, 3227, 5138, 5624, 7090, 7664, 228, 1286, 2904, 3332, 5168, 5656, 7047, 8076, 555, 2065, 2614, 4096, 4240, 5677, 6612, 7538, 945, 1622, 2806, 3914, 4624, 6186, 7226, 8147, 488, 1622, 2806, 3893, 4624, 6139, 7077, 8147, 488, 1528, 3117, 3367, 4624, 5241, 7077, 8223, 488, 1528, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 495, 1858, 2886, 3623, 5164, 5390, 7160, 7494, 419, 1623, 3021, 3827, 4344, 6175, 6338, 8266, 859, 1648, 2880, 3827, 4912, 5219, 7024, 7717, 488, 1684, 3021, 3893, 4704, 5219, 6794, 7476, 488, 1622, 2914, 3827, 4624, 6139, 7077, 7485, 860, 1528, 2806, 3825, 4624, 6139, 6589, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6186, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 52, 17, 51, 16, 52, 47, 5, 5, 3, 915, 1623, 2834, 3932, 4704, 5550, 7129, 8147, 779, 1577, 2970, 3273, 4717, 5745, 7019, 7508, 160, 1924, 2678, 3536, 4371, 5637, 6979, 7547, 160, 1199, 2716, 3639, 4337, 6022, 7019, 7959, 1071, 1199, 2232, 3837, 4372, 5953, 7127, 7691, 1025, 1809, 2345, 3233, 4882, 6018, 6311, 7367, 1035, 1974, 2697, 3273, 4825, 5907, 6403, 7367, 616, 1740, 2312, 3546, 4911, 5260, 6298, 7463, 803, 2027, 2173, 3171, 4752, 5934, 6830, 7902, 893, 1301, 2248, 3686, 4364, 5603, 6904, 7861, 319, 1805, 2961, 3161, 4955, 5617, 6757, 7913, 262, 2001, 2869, 3895, 4675, 5328, 6421, 7938, 216, 1682, 2905, 3981, 5079, 5595, 6852, 7702, 308, 1721, 3007, 3932, 4822, 6205, 6988, 7664, 1099, 1620, 2167, 4018, 4588, 5586, 7201, 7421, 1099, 2073, 2991, 3909, 4551, 6211, 7162, 7641, 967, 1964, 2781, 3909, 4533, 6048, 6614, 8066, 91, 1257, 3141, 4004, 4778, 5890, 7197, 8257, 804, 2073, 3043, 3987, 4611, 6124, 7132, 8014, 160, 1370, 2582, 4115, 4387, 5893, 6254, 7313, 569, 2056, 2361, 3848, 4591, 5953, 7092, 7899, 806, 1770, 2869, 3254, 4212, 5745, 7024, 7469, 974, 1596, 2455, 3655, 4731, 5384, 6244, 7648, 1025, 2067, 2330, 3578, 4364, 6147, 6502, 7515, 1035, 1581, 2697, 3201, 4859, 5548, 6525, 7559, 887, 1978, 2173, 4044, 4872, 5298, 6688, 7318, 850, 1608, 3092, 3918, 4657, 5777, 6847, 7959, 641, 2055, 2868, 3727, 4764, 6217, 6574, 7934, 881, 1797, 2486, 3601, 4935, 5923, 6410, 7960, 1040, 1326, 2587, 3446, 5098, 5988, 6974, 7660, 806, 1570, 3033, 3214, 4982, 5447, 6802, 8061, 807, 2052, 2271, 3262, 5000, 5454, 6458, 7551, 487, 2117, 2951, 4010, 5040, 6077, 6376, 8108, 986, 1653, 3142, 3700, 4482, 5828, 6536, 7852, 545, 1140, 2940, 3421, 4885, 5563, 7041, 8029, 844, 1118, 2399, 4007, 4715, 5304, 7043, 7476, 807, 1773, 2669, 3751, 4800, 5650, 6909, 7618, 487, 2095, 2971, 3792, 5031, 5304, 6909, 7401, 902, 1118, 2309, 3171, 4539, 5780, 6376, 8016, 839, 1561, 2751, 3192, 4709, 5618, 6560, 7657, 569, 1550, 2716, 3337, 4804, 5334, 6529, 8045, 807, 1700, 2346, 3560, 4476, 5516, 6596, 7900, 487, 1653, 2752, 3616, 4364, 5576, 6821, 8109, 891, 1692, 2254, 4003, 4282, 5325, 7141, 7816, 390, 1512, 2803, 3207, 4421, 5581, 6349, 7753, 804, 1623, 2947, 3425, 4918, 6080, 7187, 7678, 818, 1147, 2806, 3226, 5076, 5705, 7207, 8147, 914, 1750, 3007, 4114, 4630, 6205, 6752, 7948, 213, 1791, 3021, 4067, 4287, 6103, 7006, 8267, 186, 1381, 3006, 4011, 4681, 5612, 7077, 7876, 555, 1147, 2970, 3803, 5038, 5981, 6584, 8260, 859, 2127, 2858, 3955, 4387, 5677, 6772, 8080, 859, 2127, 2172, 4071, 4727, 5246, 7100, 7485, 555, 1468, 3133, 3827, 4387, 5981, 6752, 7865, 859, 2127, 2833, 3595, 5135, 5635, 7100, 8260, 555, 2034, 2616, 3931, 5138, 5678, 6752, 7557, 555, 1147, 3133, 3891, 5135, 5241, 6671, 8147, 859, 1756, 2833, 4166, 5130, 6175, 6752, 8237, 555, 1147, 2869, 3891, 4877, 5981, 6688, 8164, 4, 2 ]

[ 1, 20, 63, 5, 5, 5, 28, 26, 5, 43, 33, 75, 16, 54, 5, 5, 5, 63, 33, 29, 5, 5, 5, 46, 54, 66, 35, 17, 62, 66, 44, 30, 5, 42, 63, 48, 54, 76, 70, 30, 3, 337, 2032, 2866, 4121, 5088, 5904, 6775, 7895, 186, 2032, 2781, 3710, 4822, 5834, 7047, 8147, 488, 2032, 3117, 3803, 4798, 6186, 6752, 7806, 488, 1622, 3110, 4174, 4980, 6103, 7077, 8185, 831, 1851, 2807, 4053, 4828, 5797, 7049, 8105, 1045, 2081, 3148, 3567, 4719, 5872, 6762, 7812, 908, 1950, 2710, 3790, 5027, 6015, 6700, 7905, 612, 2033, 2205, 3943, 4880, 5668, 6797, 7296, 800, 1271, 2655, 3883, 4636, 5644, 6839, 7367, 1004, 1667, 2392, 4120, 4357, 5960, 6325, 7987, 1028, 1955, 2728, 3375, 5005, 5499, 6539, 8207, 1045, 1454, 3052, 3626, 5023, 5665, 6518, 7540, 814, 1982, 2878, 3851, 4332, 5852, 6816, 8067, 150, 2048, 2878, 3414, 4805, 6066, 6244, 7792, 955, 1318, 2340, 3909, 5129, 5850, 7186, 8054, 955, 1867, 3092, 3819, 5129, 5687, 6613, 8201, 211, 1275, 3095, 3546, 5139, 5378, 6523, 7706, 663, 1939, 2785, 3950, 4801, 5650, 6850, 7458, 390, 1110, 2860, 4011, 5085, 5744, 6515, 7706, 288, 2042, 3007, 3352, 4792, 5832, 7010, 7835, 800, 2093, 2265, 3567, 4449, 6176, 6674, 7366, 95, 1469, 2495, 3683, 4963, 5500, 6284, 7414, 415, 1697, 2173, 3718, 4609, 5585, 6299, 8104, 1031, 1338, 2325, 3520, 4678, 6106, 6293, 8255, 145, 1199, 2234, 3727, 5005, 5291, 6690, 8045, 327, 1398, 3040, 3997, 4410, 5816, 7141, 7438, 634, 2029, 3040, 3508, 5066, 5519, 6971, 7403, 934, 2029, 2832, 4004, 4418, 5579, 6730, 7754, 421, 1119, 3040, 3495, 4325, 5359, 7028, 7275, 421, 1457, 2814, 3775, 4351, 6078, 7071, 8017, 810, 1889, 3115, 3227, 4699, 5624, 6521, 7669, 810, 1286, 2297, 3227, 5083, 5930, 6544, 8131, 397, 1889, 2565, 3387, 4601, 5346, 6533, 7263, 902, 1550, 2794, 3295, 4582, 5890, 6376, 8008, 902, 1550, 2683, 4096, 4241, 5456, 6566, 8191, 545, 1689, 2507, 3924, 4939, 5781, 6657, 7846, 893, 1178, 2335, 4087, 4212, 5368, 6746, 7415, 115, 1733, 2335, 3422, 4437, 5368, 7237, 7624, 750, 1550, 2248, 3874, 4184, 5858, 6849, 7869, 752, 2034, 2137, 3685, 4929, 6125, 6476, 7385, 752, 2034, 2869, 3951, 4285, 5640, 6369, 8037, 897, 1234, 2444, 3282, 4715, 5498, 6476, 8146, 1034, 1563, 2954, 3476, 4715, 5991, 7167, 8160, 584, 1385, 2725, 3329, 4929, 5980, 6593, 8125, 584, 1327, 2725, 3796, 4428, 5458, 6821, 7638, 994, 1984, 2940, 4047, 4472, 6067, 6998, 7521, 664, 1222, 2725, 3531, 4735, 5364, 6622, 7863, 692, 1352, 2788, 3298, 4501, 5789, 6292, 7401, 288, 1770, 2649, 4005, 4501, 6026, 6830, 7498, 1056, 1403, 2944, 3886, 4485, 6025, 6991, 7358, 756, 1526, 2321, 3776, 5072, 5610, 6430, 7557, 940, 1112, 3150, 3420, 4412, 5273, 6371, 7641, 504, 1937, 2167, 3354, 4789, 5943, 6784, 7797, 668, 1865, 2247, 3283, 4795, 6115, 6670, 7608, 498, 1510, 3054, 3159, 4865, 5500, 7043, 7248, 92, 1954, 2831, 3233, 5031, 6009, 6894, 7966, 938, 1759, 2436, 3410, 4225, 5579, 6485, 7979, 335, 1608, 2868, 3943, 5081, 6031, 6612, 8107, 149, 1726, 2309, 3605, 5000, 5450, 6840, 7868, 850, 1924, 2890, 4137, 5000, 5784, 6313, 7827, 850, 1157, 2741, 3192, 4858, 5656, 6762, 8240, 204, 1339, 2309, 3605, 4383, 5641, 6267, 7582, 778, 1400, 2741, 4004, 4691, 5298, 6944, 7834, 582, 2094, 2309, 3310, 4555, 6136, 6883, 7904, 204, 1880, 2272, 4137, 4575, 5615, 6371, 7959, 778, 1141, 2626, 4003, 4606, 6168, 7047, 7862, 391, 1865, 2163, 3276, 4536, 5713, 6608, 8252, 731, 1141, 2678, 3937, 4588, 5643, 6574, 8232, 335, 1755, 3128, 3707, 5138, 5534, 6849, 7992, 512, 1869, 2980, 3488, 4630, 5832, 6719, 8260, 935, 1913, 2783, 3645, 4670, 5641, 6515, 8267, 1099, 1992, 3110, 4018, 5080, 5210, 6972, 8188, 1056, 1331, 3095, 3945, 4583, 5241, 7157, 7720, 914, 2046, 3095, 4055, 5080, 6085, 7006, 7949, 818, 1508, 2730, 3945, 5061, 5573, 7201, 7949, 818, 1508, 3135, 3893, 5080, 6139, 7239, 8147, 488, 1528, 2914, 3226, 4624, 6211, 6972, 8260, 818, 2017, 2914, 3188, 4624, 6139, 6794, 7806, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2164, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 3065, 3825, 4798, 6186, 6794, 8196, 308, 1804, 2925, 4113, 4630, 5635, 6515, 8260, 1024, 1318, 2556, 3361, 4529, 6080, 7006, 8076, 110, 1594, 2838, 4085, 4787, 5892, 6852, 7513, 110, 1393, 2863, 3649, 4243, 5210, 7100, 7586, 678, 1902, 2887, 3693, 5078, 5641, 6897, 8179, 940, 1175, 3108, 4011, 4555, 5540, 7168, 7703, 1051, 1981, 2299, 3901, 4567, 5677, 6979, 8261, 1047, 1463, 2674, 4105, 4557, 5850, 6588, 7887, 401, 1179, 2957, 4004, 4554, 6103, 6979, 8107, 571, 1981, 3098, 4114, 5165, 5858, 6859, 8195, 424, 1668, 3098, 3945, 4964, 5245, 6637, 7870, 610, 1577, 2838, 4028, 5183, 5534, 6719, 7715, 104, 1458, 3150, 3518, 4700, 5212, 6953, 7367, 998, 1736, 2492, 4099, 5168, 6059, 6881, 8243, 557, 1736, 2815, 3750, 4710, 5714, 6882, 8115, 1050, 1510, 2826, 4156, 4906, 5697, 6441, 7324, 586, 1297, 2731, 3222, 4399, 5656, 6280, 7261, 286, 2099, 3034, 3969, 4274, 5310, 7075, 7873, 221, 1780, 2516, 3171, 4823, 5516, 6885, 7381, 441, 1185, 2307, 3723, 4934, 5402, 7046, 7462, 962, 1960, 2940, 4132, 4742, 5603, 6560, 7698, 545, 1689, 2304, 3488, 4238, 5831, 6401, 7831, 211, 1534, 2802, 3863, 4762, 5438, 6234, 7693, 1051, 1963, 2349, 3380, 5142, 5937, 7133, 7652, 356, 1534, 2459, 3706, 5160, 5438, 7230, 7508, 356, 1664, 2957, 3857, 4727, 5641, 6291, 8093, 105, 1520, 3098, 3231, 4555, 6160, 6702, 7597, 225, 1248, 2882, 3555, 4622, 5350, 6286, 8082, 225, 2034, 3028, 3786, 4877, 6156, 6749, 8080, 334, 1286, 2370, 3603, 4688, 5648, 6435, 7662, 334, 1286, 2867, 3359, 5053, 5610, 6698, 7490, 334, 1954, 2665, 3234, 4945, 5972, 6663, 7868, 118, 1858, 2854, 3666, 4836, 5548, 6600, 7563, 118, 1623, 3004, 3603, 4923, 5875, 6792, 7828, 118, 1269, 2242, 3879, 5025, 5837, 6755, 7645, 118, 1286, 2946, 4025, 4209, 5930, 6277, 7865, 118, 1286, 2854, 3986, 5179, 5650, 7035, 8187, 118, 1336, 3068, 3857, 5091, 5324, 6224, 8262, 118, 1112, 2491, 3344, 5120, 5444, 6965, 7781, 183, 2034, 3028, 3933, 4985, 6057, 7160, 7781, 183, 1684, 3021, 4096, 4541, 5474, 6810, 7772, 183, 2106, 2839, 4068, 4916, 5519, 6430, 7664, 757, 2127, 3133, 3931, 5081, 5730, 6607, 7975, 183, 1286, 3144, 3662, 5091, 5519, 7043, 8076, 183, 1286, 3144, 3364, 4555, 5650, 7019, 8066, 105, 1623, 2946, 3827, 4877, 5963, 6740, 8130, 859, 1623, 3064, 3550, 4918, 5493, 6515, 8080, 555, 1623, 2164, 3827, 4624, 5677, 7077, 7766, 555, 1858, 2970, 3827, 5166, 5550, 6515, 7664, 915, 1623, 2914, 4071, 4918, 5677, 7226, 8237, 915, 1623, 2806, 3873, 4387, 5219, 6338, 7716, 915, 1528, 2946, 3825, 4704, 5677, 6996, 7715, 555, 1623, 2669, 3407, 4822, 5493, 7201, 7715, 429, 1561, 3139, 4035, 4790, 5344, 6863, 7563, 769, 1594, 2683, 3508, 4632, 5435, 6955, 7659, 189, 1692, 2453, 3183, 4230, 5837, 6651, 7584, 908, 1606, 2751, 4141, 5031, 6073, 7133, 7293, 936, 1244, 2751, 3576, 4367, 5544, 6731, 8139, 150, 1951, 2152, 3733, 4636, 5576, 6477, 7767, 955, 1280, 2762, 3407, 5106, 5767, 6720, 8093, 211, 1623, 3135, 3963, 4285, 5438, 6687, 7384, 756, 1623, 2315, 3226, 4895, 5210, 6614, 8172, 568, 1797, 2210, 4074, 5104, 5978, 6470, 7734, 757, 1566, 2582, 4074, 4851, 5500, 6740, 7313, 1052, 1596, 2598, 3425, 4743, 5810, 6872, 8047, 373, 1986, 2480, 3470, 4536, 5951, 6761, 8079, 614, 1545, 2860, 3183, 5138, 5665, 6588, 7500, 1035, 1463, 2608, 4011, 4743, 5821, 6898, 7908, 802, 1318, 2797, 3697, 4537, 5396, 6970, 7929, 802, 1721, 2332, 3963, 4322, 5944, 6684, 8213, 814, 1754, 2707, 3845, 4701, 5476, 6933, 7513, 814, 1145, 2214, 4060, 4636, 5636, 6547, 7628, 665, 1141, 3018, 3469, 5015, 5799, 6666, 7866, 569, 1865, 2494, 3988, 4733, 5799, 6399, 7934, 1071, 1865, 2391, 3283, 5142, 5567, 6732, 8200, 956, 2073, 2582, 4145, 4589, 5534, 6891, 7870, 914, 2073, 2899, 3516, 5159, 6195, 6786, 7260, 914, 2073, 3008, 3803, 5159, 6131, 6852, 7806, 956, 1791, 2960, 3932, 5106, 5901, 7132, 7949, 935, 1945, 2991, 4174, 4912, 5883, 7058, 8107, 552, 2073, 2709, 4145, 4470, 5832, 7239, 7948, 552, 1752, 2946, 3680, 5150, 5840, 7230, 7386, 256, 1635, 2656, 3470, 5061, 6163, 6579, 8179, 899, 1705, 2656, 3671, 4859, 5797, 6889, 8085, 408, 1637, 3061, 3591, 5022, 6094, 6486, 7311, 731, 1339, 2710, 3943, 4682, 5880, 6465, 7317, 304, 1652, 2933, 3363, 5127, 6164, 6671, 7485, 804, 1581, 2803, 4145, 5169, 5844, 6809, 8070, 804, 1804, 2783, 4018, 4890, 5883, 6979, 7641, 684, 1804, 2833, 3886, 5159, 6211, 7239, 8083, 859, 2052, 2924, 4006, 4630, 5749, 7006, 7677, 201, 1648, 2914, 3710, 4704, 6205, 6979, 8147, 488, 1869, 2960, 4071, 5038, 6139, 7006, 7949, 450, 1370, 2493, 4171, 4762, 5832, 6750, 7458, 450, 2068, 2679, 4145, 5166, 6085, 7217, 7908, 110, 1581, 2498, 4145, 5085, 6095, 6989, 7949, 288, 1386, 2154, 4093, 4374, 5359, 6774, 7717, 948, 1141, 3080, 4106, 4987, 5447, 6551, 8073, 731, 2009, 2515, 4064, 5085, 5651, 6719, 7331, 223, 1141, 2868, 4097, 4870, 5749, 6918, 8030, 299, 1141, 2463, 3789, 4543, 5251, 6571, 7878, 443, 1782, 2701, 3900, 5169, 5652, 7035, 7894, 487, 1250, 2210, 4172, 4788, 5927, 7017, 8132, 487, 1125, 2436, 3943, 4607, 6000, 6403, 7815, 986, 1125, 2436, 4037, 5018, 6145, 6592, 8209, 545, 1653, 2661, 3321, 4811, 5600, 6422, 8045, 850, 1577, 3018, 4137, 5022, 5390, 6903, 8140, 778, 1141, 2392, 3728, 5031, 5310, 7232, 8081, 103, 1399, 3053, 3251, 4364, 5641, 7043, 7918, 831, 1858, 2924, 3963, 4335, 5983, 6550, 8158, 424, 1660, 2429, 3361, 4553, 5695, 7133, 7658, 1090, 1269, 3008, 3732, 4802, 5886, 7150, 7311, 424, 1269, 2594, 4166, 5061, 5276, 7010, 7846, 663, 1269, 2783, 3488, 4437, 6119, 6434, 8080, 779, 1269, 3007, 3920, 4186, 5883, 6540, 8195, 1056, 1175, 2944, 3195, 4536, 6007, 7239, 7494, 663, 1120, 2944, 3990, 5096, 5705, 7160, 7485, 940, 2125, 2989, 3803, 4276, 6025, 7162, 7421, 424, 1175, 2965, 3602, 4337, 5911, 7084, 7570, 1011, 1217, 2444, 3807, 4234, 6205, 6642, 7794, 643, 1175, 2525, 3717, 4454, 5314, 6517, 7291, 1029, 1120, 2493, 3830, 5144, 5259, 6618, 8140, 504, 1898, 2332, 3159, 4407, 5289, 6555, 8259, 1024, 1870, 2409, 3668, 4711, 5835, 6240, 8157, 1024, 1689, 2345, 3208, 4421, 6136, 6695, 7864, 668, 1903, 2355, 3159, 4832, 5653, 7021, 7884, 692, 2059, 2763, 3935, 4818, 6206, 7030, 8203, 862, 2059, 2750, 3332, 4484, 5746, 6504, 7522, 668, 1510, 2987, 3208, 4417, 5408, 6901, 8243, 913, 1116, 2918, 3635, 4665, 5578, 6623, 7691, 512, 1545, 2582, 3914, 5169, 5657, 6980, 7677, 103, 2036, 2732, 4106, 4753, 5552, 7058, 7916, 715, 1126, 2221, 3488, 5149, 5836, 6426, 7651, 938, 1636, 2355, 3796, 4755, 6010, 7224, 7468, 211, 1164, 2495, 3874, 4644, 6034, 6270, 7772, 859, 1945, 2355, 3623, 5061, 5285, 6642, 8236, 1099, 1847, 2806, 4145, 4888, 6103, 7168, 8179, 818, 1804, 2989, 4150, 5061, 6129, 7218, 7949, 818, 1648, 3110, 4108, 5061, 5968, 6972, 7421, 555, 1623, 2806, 4018, 4782, 5635, 7201, 8237, 105, 1564, 2542, 3751, 4549, 5730, 6612, 8237, 183, 1286, 2669, 3183, 4606, 5874, 7090, 7537, 183, 1564, 2944, 3542, 4398, 5837, 7100, 7616, 617, 2127, 2761, 3955, 5160, 5811, 7239, 8236, 183, 1286, 3144, 3413, 5160, 6085, 7100, 7509, 256, 1684, 2380, 3391, 4920, 5968, 7024, 7806, 617, 2127, 3144, 3751, 4782, 5821, 7132, 7260, 617, 1304, 3021, 3341, 4555, 5797, 7127, 7717, 4, 2 ]

[ 1, 14, 66, 5, 31, 14, 66, 5, 5, 5, 45, 66, 5, 76, 69, 30, 5, 28, 48, 5, 16, 5, 66, 33, 64, 66, 5, 5, 5, 16, 54, 30, 5, 14, 65, 35, 5, 30, 33, 63, 30, 5, 54, 11, 66, 5, 66, 39, 51, 5, 29, 14, 54, 64, 16, 78, 5, 5, 3, 945, 1528, 2806, 3825, 5166, 6081, 6752, 8147, 488, 2017, 3117, 3803, 4704, 6186, 6988, 8147, 552, 2032, 2554, 3827, 5083, 5436, 7098, 8081, 489, 1523, 2520, 3394, 4870, 5436, 6961, 7767, 323, 1193, 2725, 3889, 4806, 6086, 6693, 8211, 302, 1803, 2830, 3158, 4570, 6169, 6908, 7402, 459, 2120, 2871, 3287, 4952, 6041, 6857, 8254, 1005, 1720, 2156, 3802, 4364, 6022, 7038, 8044, 510, 1485, 2754, 3684, 4918, 6007, 6453, 7930, 818, 2068, 2960, 3206, 4652, 5974, 7207, 7290, 984, 1984, 3095, 3891, 5058, 5968, 6408, 7870, 935, 1998, 2641, 3188, 5007, 5963, 6630, 7948, 935, 2017, 3007, 4011, 5060, 5439, 6972, 8260, 186, 2017, 3065, 3803, 5038, 6182, 7124, 8107, 935, 2032, 2806, 3886, 4828, 6211, 6988, 8179, 935, 1648, 2991, 4113, 4713, 5705, 7077, 8076, 915, 1791, 3135, 4071, 4782, 6186, 6972, 7715, 899, 1869, 2560, 3886, 4398, 5963, 6776, 8076, 868, 1752, 3032, 3212, 4531, 5942, 6710, 7586, 346, 1346, 2247, 3313, 4982, 5845, 6765, 7957, 349, 1938, 3031, 3254, 4176, 5578, 7062, 7298, 1034, 2045, 2385, 3162, 4409, 5560, 6692, 8211, 302, 1778, 3097, 4095, 4193, 5655, 7062, 7402, 611, 1441, 3116, 3699, 4776, 5495, 7065, 7462, 868, 1940, 2353, 3781, 4560, 6086, 6631, 8165, 448, 1719, 2907, 3429, 4609, 5495, 6485, 7640, 868, 1476, 2325, 4153, 4293, 6119, 6619, 7810, 759, 1185, 3088, 3851, 4444, 5495, 6919, 7873, 942, 1968, 2665, 3240, 4963, 6002, 6880, 8203, 1102, 1849, 2882, 3253, 4204, 5840, 6627, 7778, 1099, 1933, 2151, 3785, 5153, 5597, 6414, 7570, 186, 1869, 2834, 3277, 4861, 5219, 6668, 8066, 1099, 1475, 2880, 3990, 5058, 5901, 6584, 7591, 935, 1869, 3065, 3361, 5058, 6211, 6677, 8080, 105, 2032, 2858, 3803, 5138, 5514, 6882, 8076, 105, 2097, 2316, 3374, 4630, 5650, 6291, 8080, 915, 2017, 2970, 3595, 4888, 6205, 7152, 7838, 488, 1622, 2914, 3825, 4888, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 859, 1304, 2542, 4097, 4387, 6129, 7120, 8262, 1006, 1118, 2983, 3398, 4307, 5797, 6917, 8173, 1023, 1782, 2152, 3469, 5184, 6101, 7024, 7900, 986, 1333, 2414, 3697, 4709, 5223, 6528, 7481, 1056, 1459, 2802, 4078, 4415, 6137, 7160, 8209, 308, 1915, 3076, 3975, 4622, 5761, 6630, 7949, 818, 1945, 3095, 3516, 4551, 6182, 7201, 8185, 403, 1198, 3124, 3951, 4538, 6051, 6776, 8267, 488, 1998, 2803, 3982, 4980, 6139, 7162, 8196, 1097, 2017, 3007, 3645, 4551, 6205, 7077, 8267, 510, 1869, 3110, 4171, 4782, 5241, 6996, 7602, 512, 1705, 2340, 4114, 5104, 5678, 6515, 8185, 731, 1797, 3150, 4174, 5183, 5385, 6584, 7895, 271, 2035, 2956, 3533, 4781, 6007, 7010, 7677, 386, 2033, 2189, 4047, 4326, 5249, 6630, 7260, 504, 2048, 2137, 4147, 4954, 5362, 7199, 7622, 1029, 1918, 2163, 3233, 4688, 6083, 6793, 7516, 725, 1510, 2868, 4031, 4368, 5899, 7066, 7726, 308, 2065, 3039, 3662, 4489, 5440, 7022, 7919, 308, 1540, 2582, 3681, 5115, 6211, 6565, 8260, 684, 1620, 3064, 3866, 4551, 5612, 7084, 8237, 804, 1370, 2957, 4085, 5038, 5901, 6972, 7557, 390, 1700, 2838, 4170, 4888, 6195, 7006, 8267, 959, 1827, 2771, 3540, 5020, 6085, 6604, 7494, 840, 1198, 2401, 3205, 5067, 5818, 6776, 7872, 1025, 1561, 2401, 3811, 4578, 6164, 6412, 7873, 448, 1831, 2268, 3949, 4364, 5616, 6830, 7490, 986, 1858, 2495, 3307, 4215, 6118, 6938, 7384, 487, 1255, 2429, 4035, 4417, 5890, 6260, 7973, 1025, 1918, 2292, 3727, 4622, 6002, 6614, 7918, 1029, 1167, 2292, 3593, 4215, 5413, 7028, 7966, 465, 1778, 2693, 3425, 4897, 5668, 6991, 7896, 942, 1948, 2359, 3361, 4919, 5548, 6762, 7591, 271, 1976, 2359, 3554, 4427, 5696, 6383, 7831, 223, 1526, 2726, 3566, 4529, 6118, 6974, 7865, 776, 1974, 2878, 4009, 4966, 5856, 6972, 8195, 789, 1974, 3139, 3407, 4318, 5752, 7095, 7473, 142, 1961, 2574, 3516, 4923, 5678, 6607, 8083, 142, 2017, 2914, 3945, 4704, 5705, 7239, 8260, 935, 2017, 2164, 3893, 4798, 5493, 7084, 7631, 859, 1528, 2781, 4026, 5104, 5677, 7129, 7485, 251, 1582, 2366, 3373, 4329, 5864, 6486, 7469, 699, 1633, 2359, 3681, 5135, 5827, 7098, 8051, 183, 1345, 2729, 3596, 4881, 5514, 6911, 7717, 555, 1684, 2729, 3595, 4512, 6137, 6612, 7732, 488, 1756, 2729, 3566, 4993, 5901, 6677, 7720, 555, 1684, 2838, 3595, 4555, 5678, 7120, 7485, 1056, 2106, 2941, 3595, 5129, 5694, 7010, 7421, 318, 1286, 2542, 3413, 4834, 5952, 6458, 7591, 897, 1107, 2487, 4095, 4482, 5295, 7118, 7270, 840, 1249, 2453, 3791, 4751, 6002, 6726, 7288, 1041, 2036, 2453, 3770, 4775, 5512, 6632, 7994, 459, 2099, 2692, 3413, 4663, 5470, 7087, 7586, 662, 1653, 2464, 3602, 4557, 5264, 6963, 7869, 424, 1653, 2778, 3770, 4612, 6086, 6911, 7270, 571, 1653, 2459, 3574, 4191, 6121, 6671, 7905, 256, 2111, 3032, 3637, 4493, 5584, 7079, 7966, 225, 1935, 2944, 3376, 4918, 5288, 6730, 7701, 654, 2106, 2554, 3277, 4486, 5333, 7023, 7537, 518, 2111, 2565, 4015, 5083, 6221, 6774, 7555, 518, 1252, 2970, 3681, 4555, 5436, 7082, 7821, 518, 1756, 2833, 4124, 5075, 5515, 6486, 7563, 518, 2118, 3133, 3391, 4298, 5591, 6816, 8253, 228, 2111, 2335, 3570, 5097, 5241, 6589, 8126, 240, 2118, 2560, 3777, 4918, 5624, 7098, 7865, 789, 1645, 2473, 4174, 4387, 5350, 6607, 8061, 915, 1851, 2669, 3470, 4859, 6110, 6677, 8237, 818, 1756, 2729, 4174, 4877, 6182, 6988, 7715, 488, 1528, 3117, 3595, 4798, 5612, 6996, 8147, 915, 1622, 2914, 3825, 4798, 5677, 7124, 7715, 915, 1622, 2164, 3825, 4798, 5677, 7226, 7715, 654, 1490, 2988, 3470, 4386, 6084, 6768, 7838, 225, 2118, 2316, 3298, 5167, 6160, 7232, 7603, 555, 1623, 2560, 3277, 4859, 6110, 7207, 7865, 797, 1623, 2806, 3595, 4423, 6205, 6604, 8147, 860, 2017, 2806, 3825, 4704, 6139, 6612, 7766, 860, 1528, 2914, 3825, 4704, 6139, 7077, 8196, 201, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 201, 1528, 2164, 3825, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 488, 1648, 2164, 3893, 4798, 6139, 7077, 7766, 488, 1648, 2914, 3893, 4870, 5635, 7124, 8237, 488, 1684, 2164, 3893, 4798, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4512, 6139, 6752, 8223, 915, 1648, 2833, 3914, 4512, 6139, 7077, 7766, 915, 1684, 2858, 3914, 4798, 6081, 7077, 7485, 915, 2017, 3021, 3893, 4512, 5635, 6584, 7766, 915, 1622, 2858, 3827, 4704, 5635, 6794, 8196, 555, 2017, 2858, 3827, 4798, 5635, 7077, 7485, 488, 1622, 2914, 3893, 4798, 6139, 7226, 8196, 488, 1622, 2914, 3893, 4624, 6186, 7226, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4798, 6139, 6794, 8196, 915, 2017, 2164, 3914, 4798, 5241, 7124, 7723, 617, 1349, 2860, 3595, 4622, 6110, 6988, 7715, 448, 1853, 2771, 4122, 4205, 5678, 7024, 8050, 734, 1534, 2532, 3646, 4468, 6086, 6558, 7419, 247, 1349, 2861, 4072, 4495, 5890, 6650, 7999, 759, 1140, 2953, 4009, 4785, 5871, 7235, 7477, 1090, 1660, 2544, 3900, 4765, 6073, 7168, 8189, 1025, 1350, 2897, 4154, 4440, 6000, 6339, 8034, 1025, 2056, 2429, 3755, 4780, 5438, 7004, 8093, 427, 2000, 2783, 3877, 5164, 5650, 6590, 7887, 186, 1869, 2391, 4114, 5106, 6175, 6752, 7641, 935, 1218, 3110, 3990, 5058, 6103, 6972, 7641, 746, 1753, 2696, 3960, 4186, 5610, 6563, 7930, 818, 1684, 2970, 3803, 5080, 5824, 7023, 8147, 935, 1945, 2834, 3550, 5159, 5635, 6612, 7421, 899, 1570, 2282, 3803, 4630, 5811, 7140, 8126, 518, 1349, 2466, 3560, 4529, 5504, 6579, 7918, 165, 1233, 3035, 3155, 4228, 5699, 6838, 7773, 442, 1286, 3003, 3356, 4745, 6098, 6885, 8087, 870, 1638, 2415, 3700, 4228, 5794, 6458, 8045, 499, 1226, 2543, 3184, 4903, 6096, 6962, 7802, 640, 1606, 3072, 3357, 4903, 5899, 7039, 7989, 737, 1135, 2375, 3623, 4495, 5928, 7041, 8175, 249, 1286, 3048, 3667, 4766, 5557, 6612, 8146, 492, 1756, 2190, 3667, 4652, 5478, 6449, 7627, 725, 1523, 2415, 3510, 4485, 5809, 6780, 7924, 1033, 1635, 2209, 3953, 4321, 5437, 6368, 7986, 401, 2046, 2872, 4151, 4356, 6142, 6928, 7941, 859, 1519, 3108, 3945, 4297, 5493, 6852, 7421, 568, 1345, 3124, 3879, 4536, 5923, 6443, 7854, 568, 1958, 2137, 3217, 5143, 5827, 6327, 7324, 568, 1958, 2740, 3550, 4539, 5650, 7069, 8207, 568, 1958, 2655, 3227, 4399, 5536, 6949, 7333, 568, 1954, 2181, 3239, 4903, 5908, 6677, 7510, 568, 1954, 2468, 3753, 5075, 5836, 6872, 8061, 757, 1112, 3133, 3928, 4923, 6015, 7100, 7549, 617, 2034, 2904, 3416, 4870, 5514, 7160, 7715, 617, 1510, 2560, 3352, 4870, 5590, 7098, 8262, 555, 2106, 2806, 4071, 4877, 5963, 7077, 7766, 552, 1218, 2806, 4174, 5138, 5981, 6291, 7936, 392, 1600, 2701, 3662, 4691, 6175, 7010, 7494, 692, 1373, 2239, 3887, 4743, 5830, 6564, 7378, 465, 1548, 2926, 3905, 4382, 5250, 7065, 8227, 492, 1586, 3001, 3375, 4874, 5912, 6839, 7794, 536, 1586, 2887, 3877, 4855, 5456, 6958, 7650, 840, 1758, 2479, 3531, 5134, 6156, 6789, 7892, 1067, 1510, 2905, 3305, 4919, 6207, 6224, 7384, 693, 1494, 2378, 3977, 4994, 5303, 7000, 7793, 123, 1171, 2378, 3652, 4222, 5472, 6327, 7986, 249, 1758, 2983, 3354, 5050, 5482, 6260, 7888, 888, 1510, 2690, 4083, 4364, 5939, 6861, 7634, 759, 1555, 2623, 3169, 5134, 5441, 6704, 8033, 113, 1510, 2689, 3258, 5051, 5934, 7062, 8220, 123, 1510, 2672, 3454, 4897, 5353, 6447, 7536, 492, 1507, 2987, 3214, 4931, 5926, 6854, 7270, 1062, 1703, 2987, 3992, 4918, 5796, 7019, 7383, 211, 2111, 2498, 3945, 5040, 5761, 6961, 7397, 1099, 1963, 2469, 4098, 4782, 5612, 7129, 7658, 935, 2111, 2899, 3886, 5060, 5687, 7006, 8083, 935, 2111, 3135, 3803, 4287, 6051, 6709, 7631, 935, 1992, 2925, 3206, 5104, 5219, 7006, 8076, 935, 2111, 3008, 4150, 4287, 6025, 7201, 7806, 555, 2111, 2746, 4071, 4859, 5901, 6752, 8080, 552, 1684, 2554, 3440, 4873, 5438, 7237, 7485, 859, 1468, 2340, 4166, 4859, 5385, 7218, 7664, 859, 1648, 2554, 3374, 4870, 5844, 7006, 8126, 859, 1684, 2880, 4168, 4764, 5963, 7077, 8126, 555, 1974, 2833, 4145, 4859, 5767, 6988, 7291, 915, 2111, 2914, 3374, 4859, 6186, 6794, 8080, 915, 2017, 2833, 3893, 4798, 6186, 6794, 8196, 488, 1622, 3065, 3825, 4870, 6139, 7077, 8196, 860, 1528, 2806, 3825, 4624, 6139, 7124, 8223, 860, 1528, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 804, 2023, 2651, 3516, 4980, 5635, 6972, 7723, 390, 2046, 3098, 3671, 5125, 5968, 6988, 7641, 980, 2090, 2340, 3710, 5080, 5241, 6688, 7782, 804, 2021, 2803, 3909, 5038, 5892, 6786, 7421, 308, 1218, 2582, 3226, 4583, 6211, 7239, 7948, 684, 1939, 3053, 4114, 5159, 6051, 6668, 7631, 715, 1964, 3098, 4108, 4470, 5963, 6713, 7948, 963, 1388, 2665, 3798, 4283, 6074, 6569, 7503, 986, 1115, 2983, 3865, 4734, 5903, 6749, 8262, 462, 1553, 2751, 3995, 4702, 5970, 7056, 8265, 1039, 1985, 2384, 3187, 4887, 5715, 6550, 8087, 1039, 1969, 2751, 3251, 4195, 6179, 6797, 7967, 137, 1630, 2751, 3376, 4184, 6065, 6802, 7449, 137, 1630, 2282, 3513, 4804, 6065, 6927, 7781, 137, 1550, 2974, 4007, 4321, 5943, 6302, 7885, 1041, 2036, 2717, 3376, 4804, 6041, 7051, 7954, 113, 1942, 2563, 3214, 5014, 6065, 6357, 8000, 487, 1324, 2705, 3413, 4364, 6119, 6885, 7311, 265, 2107, 2593, 4161, 4428, 6086, 6426, 7707, 603, 1489, 2593, 3341, 4804, 6184, 6832, 8189, 776, 2028, 2355, 3931, 5019, 6109, 6830, 7870, 371, 1403, 2355, 4003, 4776, 6172, 6476, 7481, 662, 1732, 2378, 3413, 4901, 5471, 7181, 7862, 913, 1842, 2593, 4083, 4541, 6119, 7042, 7896, 265, 1821, 2805, 3686, 4440, 6119, 6939, 8126, 938, 1510, 3078, 3429, 4240, 5263, 6854, 7764, 1038, 1639, 2741, 4027, 4415, 6172, 6417, 7825, 692, 2053, 2741, 3824, 4278, 6201, 6858, 8149, 1090, 1510, 2920, 3464, 4843, 6077, 7165, 7691, 1099, 1508, 2659, 3983, 4822, 6175, 6876, 7870, 390, 1881, 3128, 3803, 4551, 6131, 7010, 7488, 308, 1218, 2582, 3226, 4782, 6205, 6584, 7631, 1037, 1218, 2709, 3795, 5139, 6131, 6515, 7574, 887, 1931, 2515, 3233, 5150, 5703, 6903, 7678, 211, 1989, 3053, 3909, 4954, 6175, 6979, 7717, 831, 1978, 2724, 3983, 5115, 6131, 7168, 7687, 937, 1797, 2732, 3892, 4617, 6222, 6850, 7260, 778, 1692, 2429, 4152, 4501, 5344, 6430, 8085, 462, 2098, 3130, 3600, 4757, 6002, 6850, 7816, 313, 1919, 2846, 3647, 4409, 5948, 6740, 7796, 113, 1660, 2869, 3737, 4855, 5676, 6578, 7777, 508, 1581, 3010, 4133, 4191, 5691, 6632, 8033, 319, 1903, 2721, 3295, 4872, 5231, 6913, 8128, 942, 1865, 2179, 3295, 4891, 5624, 6409, 8089, 887, 1919, 2758, 3496, 5198, 5942, 6734, 8017, 833, 1248, 2603, 4004, 5129, 5865, 6910, 7648, 860, 1620, 2803, 3240, 4366, 6129, 6467, 7485, 818, 2017, 3008, 3886, 4713, 6103, 6515, 7949, 818, 2017, 2925, 3188, 4828, 6129, 7201, 8237, 818, 2017, 3110, 4174, 4624, 6139, 7124, 8147, 488, 1528, 2914, 3893, 4624, 6139, 6794, 8147, 818, 1622, 2781, 3893, 4822, 5901, 6794, 7766, 186, 1528, 2164, 3825, 4822, 6139, 6972, 8196, 617, 1964, 2970, 3803, 5120, 6051, 6688, 7476, 276, 2114, 2761, 3394, 4359, 5515, 6684, 8260, 183, 1345, 2221, 4078, 4800, 5626, 6953, 7321, 304, 1540, 2636, 3394, 4611, 6050, 7230, 7772, 448, 1564, 2783, 3394, 4720, 6208, 6603, 7904, 1019, 1140, 2748, 3687, 4364, 5640, 6328, 7545, 1074, 1732, 2378, 3986, 4539, 6088, 6497, 7678, 862, 1112, 2751, 3584, 4246, 6005, 6292, 7772, 1074, 1808, 2751, 3660, 4826, 5533, 6768, 7779, 545, 1942, 3029, 3669, 4855, 5224, 6838, 8045, 231, 1581, 2436, 3562, 4364, 5532, 7243, 8189, 779, 1269, 2783, 3457, 5165, 5978, 6626, 8190, 1097, 2046, 2729, 4145, 4287, 5694, 6589, 8076, 1099, 1508, 2947, 3914, 5104, 5981, 7132, 7557, 1097, 1856, 3043, 4145, 5165, 5883, 6972, 7764, 818, 2017, 2925, 4145, 4888, 6103, 7201, 7720, 488, 1528, 3095, 4018, 4888, 6139, 7207, 8185, 935, 1622, 2925, 4068, 5061, 5210, 6996, 8260, 818, 1622, 3095, 3893, 4624, 5968, 6752, 7806, 818, 1528, 3117, 4145, 4798, 6129, 7124, 8261, 568, 1289, 2181, 4089, 4387, 5727, 7169, 8237, 334, 1846, 2491, 4098, 5197, 6063, 7173, 7918, 225, 1623, 2718, 4145, 4836, 5730, 6540, 8080, 334, 2097, 2792, 3359, 4762, 5976, 6612, 7868, 568, 1958, 2356, 3631, 5112, 5438, 6589, 7826, 757, 1865, 3133, 3994, 4297, 6137, 7103, 7549, 216, 1773, 2792, 4114, 4606, 6051, 7024, 7557, 840, 1375, 2751, 3253, 5015, 6206, 7041, 8204, 943, 1570, 3018, 3965, 4708, 5971, 6553, 8081, 584, 1653, 2385, 3741, 4734, 5708, 7041, 8015, 616, 1769, 2951, 3754, 4489, 5745, 6249, 7418, 165, 1687, 2487, 3840, 4773, 5557, 6704, 8035, 462, 1997, 3001, 3605, 4723, 5560, 6547, 8081, 930, 1653, 2793, 4107, 5140, 6106, 6333, 8201, 913, 1919, 2895, 3973, 4205, 5492, 6849, 7284, 1081, 1992, 2315, 3605, 4364, 5515, 6258, 7711, 390, 2063, 2238, 3679, 5088, 6117, 7090, 7846, 831, 1227, 2820, 3928, 4533, 6182, 6859, 7494, 610, 1399, 2946, 3955, 5095, 5500, 7047, 7720, 779, 1893, 2946, 3922, 4876, 5901, 6852, 7887, 678, 2125, 3110, 3206, 4861, 6147, 7222, 8213, 789, 1961, 2947, 3298, 4387, 5493, 6265, 8266, 654, 1286, 2491, 3592, 4944, 6205, 6719, 7683, 228, 2060, 2725, 3803, 4555, 6110, 7160, 7831, 240, 1623, 2542, 3681, 4326, 5534, 7100, 7723, 518, 1750, 2271, 3391, 4611, 5514, 6671, 8237, 228, 1851, 2880, 4145, 4877, 5935, 6809, 7949, 228, 1684, 2221, 3928, 4877, 5515, 6677, 7732, 105, 1684, 2944, 3394, 4329, 5493, 7069, 8213, 510, 1684, 2944, 3943, 4583, 5942, 7024, 7919, 1033, 1577, 2327, 3933, 5139, 5955, 6862, 7547, 319, 1832, 2751, 3924, 5110, 6157, 6734, 7660, 1024, 1349, 2327, 3191, 4732, 5398, 6651, 7582, 913, 1455, 2327, 3540, 4829, 6102, 7095, 7899, 641, 2067, 2251, 3943, 4985, 5531, 7069, 8168, 913, 1932, 2327, 4091, 4344, 5497, 7129, 7577, 970, 1421, 2332, 3218, 4268, 5678, 7160, 7393, 970, 2107, 2346, 3608, 4360, 5837, 6494, 7915, 750, 1570, 2321, 3704, 5110, 6002, 6563, 7488, 211, 2068, 2271, 4074, 4402, 5968, 7223, 7878, 390, 1779, 2346, 3376, 4935, 6110, 6584, 7926, 240, 1439, 2238, 3749, 4797, 6171, 6281, 8083, 228, 1963, 2487, 3648, 4777, 5276, 6914, 7367, 518, 2118, 2655, 3564, 4191, 5963, 6444, 8118, 228, 2108, 2565, 3486, 4351, 5580, 6607, 8076, 240, 1304, 2554, 4113, 5061, 5677, 7006, 7806, 228, 1332, 2669, 3586, 4512, 6175, 7207, 8130, 228, 1826, 2654, 3827, 4888, 5942, 7091, 8061, 543, 1826, 2971, 4106, 4398, 5385, 6752, 8236, 555, 1684, 2560, 4145, 5135, 5844, 7160, 8126, 186, 2111, 2560, 3891, 5079, 5767, 6671, 8237, 860, 1528, 2806, 3803, 4704, 5515, 6671, 8147, 915, 2078, 3062, 3803, 5135, 5276, 6794, 8237, 201, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 201, 1528, 2806, 3893, 4704, 6139, 7124, 7715, 142, 1528, 2806, 3893, 4704, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 65, 48, 5, 67, 20, 66, 5, 43, 45, 53, 5, 43, 14, 54, 64, 16, 53, 35, 5, 5, 3, 945, 2097, 2356, 3914, 5166, 5219, 7077, 7715, 488, 2017, 2806, 4071, 4704, 5241, 6604, 8147, 183, 2106, 2775, 3470, 4583, 5436, 7019, 8136, 568, 2013, 2542, 4111, 5138, 5678, 6972, 7557, 334, 1633, 2468, 3928, 4382, 5219, 6938, 8227, 334, 1286, 2468, 3217, 4411, 5219, 6595, 7536, 334, 1289, 2904, 4153, 4307, 5981, 6895, 8056, 118, 1597, 2839, 3596, 4412, 5641, 6523, 7658, 568, 1289, 2302, 4015, 4412, 5942, 7207, 7664, 756, 2106, 2432, 3931, 4344, 5573, 6909, 7664, 1033, 1782, 2144, 3516, 4318, 5296, 7100, 7317, 893, 1808, 2751, 4103, 4693, 6028, 6870, 7254, 786, 1808, 2314, 3476, 4213, 5615, 6799, 7608, 487, 1942, 2346, 3545, 4354, 6101, 7017, 8244, 487, 1238, 2346, 3307, 4604, 6199, 6674, 7418, 150, 1164, 2646, 3936, 4819, 5549, 6986, 8106, 1037, 1570, 2843, 4135, 4782, 5864, 7149, 7869, 789, 2127, 2838, 3359, 4622, 5705, 6426, 7528, 518, 2079, 2941, 3955, 4344, 6123, 6967, 7717, 256, 1791, 2672, 3253, 4489, 5320, 6870, 7615, 878, 1202, 2493, 3226, 5007, 5723, 6709, 7794, 878, 1399, 2493, 3364, 4912, 5590, 7132, 7290, 440, 2111, 2493, 3364, 4337, 6129, 6798, 7887, 440, 1847, 2468, 3822, 4307, 5223, 6820, 7574, 878, 2000, 3147, 3468, 5120, 6110, 7091, 8144, 211, 2046, 2669, 4150, 4329, 5573, 6346, 8130, 803, 1497, 2614, 4016, 4499, 5606, 6828, 7585, 333, 2026, 3010, 3695, 5144, 5347, 6846, 7379, 339, 1179, 2368, 3894, 4876, 5810, 6711, 7930, 917, 1706, 2873, 3460, 5154, 5460, 6767, 8232, 763, 1919, 2368, 3699, 4751, 5288, 6764, 8210, 850, 1704, 2189, 3434, 4210, 5650, 6546, 8078, 826, 1609, 2189, 3547, 4441, 5869, 6393, 7366, 895, 1524, 2653, 3814, 4725, 5798, 6906, 7478, 895, 1757, 2173, 3296, 4209, 5745, 6493, 7794, 895, 1703, 2993, 3950, 4539, 5449, 6932, 8069, 271, 1224, 3151, 3986, 5070, 5837, 6461, 7610, 319, 1865, 2218, 3421, 4364, 5447, 6599, 8197, 1056, 1591, 2163, 4028, 4674, 6184, 6344, 7627, 874, 1171, 2128, 4089, 4722, 5723, 6348, 7483, 256, 1889, 3130, 3885, 4549, 5981, 6229, 7537, 572, 1281, 2487, 4144, 4395, 6165, 6566, 7291, 955, 1753, 3109, 3994, 4395, 5435, 7085, 7906, 970, 2107, 2839, 3334, 4945, 5868, 6967, 7869, 913, 1186, 2327, 3191, 4321, 5481, 6670, 7397, 1024, 1782, 2856, 3970, 4437, 5739, 6944, 8061, 386, 1732, 2381, 3851, 4949, 6094, 6840, 8270, 1011, 1369, 2327, 3358, 4276, 6187, 6756, 7386, 981, 1250, 2519, 3192, 4364, 6123, 6876, 7664, 391, 1797, 2313, 3873, 4307, 6220, 6608, 7570, 335, 1402, 2440, 4145, 4195, 5341, 6430, 7633, 424, 1566, 2678, 3246, 4318, 5981, 6893, 7673, 940, 1994, 2868, 3259, 4780, 5210, 6702, 8071, 211, 1591, 2661, 3810, 4536, 5865, 7157, 7386, 288, 1340, 2582, 3410, 4762, 6111, 6752, 7570, 863, 2065, 2943, 4145, 4762, 6073, 6901, 8172, 403, 1885, 2404, 3575, 4555, 5276, 6354, 7898, 857, 1349, 2703, 3764, 4511, 5717, 6978, 7939, 844, 2106, 2692, 3945, 5146, 5869, 7162, 7761, 776, 1695, 2959, 3770, 4942, 5276, 6981, 7537, 1052, 1347, 2134, 3770, 5195, 5927, 6404, 7578, 991, 1108, 2458, 4095, 4927, 5957, 6838, 7751, 492, 1751, 2692, 3287, 4489, 5449, 6447, 8200, 535, 1997, 3029, 3770, 5069, 5501, 7021, 8072, 535, 1387, 2348, 3850, 5069, 6118, 6817, 7883, 249, 1881, 3030, 4134, 4776, 5836, 6520, 8139, 249, 1826, 3101, 4134, 5154, 5588, 6984, 7360, 150, 1510, 2183, 3427, 4755, 5551, 7135, 7442, 150, 1255, 2429, 3533, 5053, 5732, 6338, 7693, 504, 1948, 2436, 3426, 4400, 5724, 7058, 7870, 643, 1227, 2678, 3298, 4467, 5687, 6958, 7568, 150, 1755, 2429, 3909, 5183, 6162, 6947, 7776, 1025, 1125, 2573, 3788, 4622, 5725, 6411, 7298, 1025, 1986, 2788, 3440, 4982, 5573, 7063, 8266, 1014, 1826, 2629, 3964, 4364, 5461, 6664, 7910, 654, 1826, 2838, 3933, 4867, 5385, 7017, 7641, 654, 1468, 2709, 3798, 4813, 6112, 6840, 8118, 195, 2079, 2959, 3891, 5092, 5968, 6844, 7563, 240, 1304, 2542, 3516, 4681, 5837, 6757, 7677, 240, 1998, 2946, 3879, 5197, 6110, 6734, 8126, 518, 1363, 2654, 3866, 4622, 5514, 6786, 8185, 256, 2111, 2959, 3595, 4549, 5705, 6991, 8164, 617, 1869, 2565, 3470, 5157, 6135, 6810, 7557, 401, 2065, 2559, 3955, 5079, 6007, 7007, 8215, 1033, 1557, 2273, 3669, 4303, 6203, 6410, 8252, 1011, 1369, 2436, 3300, 4439, 6003, 6251, 7741, 940, 1430, 2661, 3929, 4276, 5219, 6276, 7939, 750, 2081, 3007, 3642, 4720, 5620, 6348, 8236, 678, 1455, 2661, 3398, 5115, 6222, 6830, 8267, 391, 1858, 2534, 3165, 4626, 6166, 7168, 7467, 1090, 1146, 2750, 3300, 4983, 5637, 6988, 7262, 691, 1865, 3007, 3728, 5134, 5373, 6919, 7339, 692, 1681, 2741, 3434, 4670, 5782, 6740, 7548, 150, 2060, 2256, 3434, 4364, 5461, 6682, 7383, 981, 1742, 2142, 4142, 4357, 6163, 6497, 7580, 981, 1449, 2905, 4017, 4881, 5762, 6251, 7472, 1080, 1865, 3104, 4087, 4436, 5721, 6251, 7786, 693, 1653, 2440, 3418, 4786, 5914, 6546, 8128, 770, 1742, 2480, 3917, 4833, 5450, 6531, 7664, 113, 1156, 2848, 3516, 4869, 5653, 7125, 7964, 1057, 1149, 2593, 3380, 4364, 5746, 7242, 8024, 482, 1510, 2171, 3459, 5109, 6118, 7237, 8248, 641, 1510, 2564, 3463, 4636, 5852, 6929, 7497, 390, 1510, 2231, 3413, 4558, 5321, 6570, 7728, 512, 2046, 2959, 4166, 4573, 5767, 6302, 7918, 1097, 2065, 3095, 4018, 4822, 5340, 7058, 8093, 186, 2017, 3135, 3891, 5165, 6081, 7226, 7876, 818, 1218, 3095, 4085, 5058, 5219, 6972, 7949, 818, 1791, 3135, 3893, 5080, 6139, 7239, 8076, 818, 1528, 3095, 4071, 4888, 5661, 7111, 8260, 818, 1648, 2781, 3825, 4624, 6186, 7077, 7766, 186, 2111, 3065, 3825, 4798, 5635, 6794, 8196, 555, 2111, 3064, 3367, 4888, 6182, 7077, 8196, 555, 2065, 3021, 3891, 4780, 5385, 6752, 8126, 555, 2111, 3021, 3825, 4624, 5550, 6752, 7485, 555, 1876, 2833, 3891, 4512, 5534, 7120, 8076, 555, 1876, 2833, 3564, 4762, 5385, 6709, 7732, 555, 1876, 2833, 4166, 4512, 6139, 6515, 7485, 555, 1468, 2833, 3891, 4622, 5219, 6996, 8237, 555, 2111, 3064, 4006, 4624, 5635, 6996, 8196, 555, 1468, 3021, 4166, 4387, 5981, 6515, 7664, 555, 1876, 2959, 3914, 4512, 5942, 7098, 8213, 915, 2111, 2858, 3914, 4798, 6186, 7124, 8196, 555, 1876, 2858, 3891, 4890, 5635, 6515, 7706, 555, 2111, 2833, 3374, 5060, 5515, 7098, 8237, 555, 2111, 3064, 3391, 4583, 5963, 6996, 8076, 555, 2111, 3021, 3825, 5159, 5635, 7124, 7766, 555, 1750, 2833, 4071, 4622, 5811, 6996, 7732, 4, 2 ]

[ 1, 66, 73, 5, 53, 33, 54, 5, 54, 11, 66, 5, 64, 57, 5, 57, 52, 30, 5, 31, 14, 66, 5, 77, 73, 5, 53, 26, 66, 16, 54, 66, 5, 28, 48, 5, 66, 39, 51, 44, 55, 5, 77, 20, 63, 5, 62, 11, 63, 66, 5, 44, 54, 5, 31, 16, 5, 41, 17, 54, 5, 17, 75, 5, 31, 16, 5, 76, 36, 52, 30, 5, 5, 3, 945, 1528, 3065, 3893, 4583, 6211, 7077, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2914, 3825, 4624, 5635, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7124, 7723, 224, 1695, 2254, 3746, 4780, 5435, 7115, 7530, 568, 2002, 2741, 3851, 4923, 5709, 7103, 7887, 335, 1736, 2771, 4147, 4402, 6191, 6256, 7640, 280, 1881, 2550, 3928, 4764, 5606, 7103, 7985, 826, 2059, 2245, 3996, 5049, 6221, 6480, 7957, 104, 1339, 2704, 4082, 4588, 5425, 6985, 7428, 993, 1838, 3092, 3870, 4330, 5905, 6775, 7256, 778, 1838, 3101, 4106, 4547, 5344, 6903, 7665, 104, 2113, 2282, 3251, 4985, 5277, 7038, 7746, 424, 2061, 2895, 4093, 4558, 6044, 6528, 7485, 1056, 1981, 3095, 4115, 5053, 5702, 7003, 7677, 486, 1637, 2429, 3454, 4615, 6187, 7114, 7498, 392, 1600, 2794, 3928, 5098, 6085, 7047, 7458, 204, 1463, 2655, 4096, 4859, 5732, 6692, 8260, 149, 1545, 2213, 3928, 4307, 5954, 6695, 7907, 381, 1509, 2490, 3259, 5182, 5291, 6997, 8140, 1050, 1323, 3019, 3467, 5031, 5532, 6856, 8241, 584, 1832, 2137, 4047, 4280, 6145, 6248, 7797, 139, 1960, 2137, 4122, 4770, 5631, 6995, 7883, 139, 1900, 2589, 3513, 5154, 6125, 6569, 8101, 722, 1345, 2593, 3393, 4564, 6165, 6438, 8069, 139, 1560, 3040, 3757, 5144, 5603, 6962, 8206, 880, 1695, 2243, 3788, 4982, 5404, 6890, 7911, 778, 1496, 2353, 4016, 4435, 5458, 6612, 7842, 731, 1263, 2474, 4055, 4530, 6105, 7017, 7644, 408, 1932, 3076, 3917, 4588, 5221, 7138, 8195, 391, 2094, 2701, 3602, 5127, 6147, 7132, 8209, 104, 1331, 2915, 3645, 4387, 5978, 7019, 7720, 778, 1881, 2746, 3454, 5134, 5978, 6668, 8227, 391, 2056, 2905, 3882, 4622, 5366, 6755, 7887, 731, 1608, 2530, 3932, 4630, 5413, 6566, 7838, 731, 1608, 2957, 3680, 4282, 6129, 6771, 8083, 391, 1886, 2232, 3426, 4374, 5797, 6832, 7658, 223, 1463, 2432, 3338, 4543, 5315, 7037, 7602, 1080, 1509, 3042, 3499, 4302, 6068, 6760, 7902, 632, 1547, 3088, 4078, 4719, 6118, 7012, 8233, 632, 1270, 2477, 4128, 4719, 6037, 7053, 7983, 302, 2095, 2505, 3474, 4741, 5991, 7164, 7873, 668, 1183, 2376, 3712, 5036, 5291, 6819, 8211, 508, 1234, 3040, 3220, 4455, 5518, 6905, 7681, 1003, 2088, 2604, 3777, 5014, 5236, 7144, 7850, 262, 1750, 2721, 3220, 4234, 5799, 6628, 7428, 401, 1723, 2775, 3813, 4222, 5811, 6574, 7467, 684, 1777, 3128, 3175, 4912, 5684, 7017, 7753, 488, 1992, 3135, 3945, 5060, 5705, 6709, 7674, 488, 2046, 3110, 3710, 5060, 5705, 6709, 8147, 818, 1992, 2960, 3226, 5058, 6139, 7201, 7949, 186, 1508, 3095, 3945, 4980, 6186, 7077, 8147, 818, 1622, 2781, 3226, 4624, 6186, 7077, 7723, 915, 2017, 2914, 3945, 4782, 6085, 6786, 8267, 240, 1750, 3065, 3188, 4583, 6149, 6604, 7677, 240, 1648, 3065, 4174, 4344, 5610, 6612, 7677, 240, 2078, 2971, 3866, 5079, 6163, 6607, 7716, 518, 2127, 2565, 3803, 4638, 6137, 7201, 7715, 518, 2127, 2554, 3595, 4890, 5901, 7152, 8080, 518, 2127, 2554, 4106, 4193, 5219, 6909, 8258, 576, 1518, 2746, 3550, 4715, 5210, 7024, 7753, 518, 1961, 2904, 3891, 4555, 5563, 7132, 7677, 228, 1826, 3021, 3648, 4780, 6157, 7084, 7707, 899, 1648, 2560, 4113, 5075, 6157, 7012, 7846, 391, 1930, 2959, 3182, 5040, 5515, 7164, 7585, 846, 1141, 3080, 3941, 4621, 6019, 7139, 7273, 547, 1865, 2666, 4038, 4902, 5632, 6691, 8047, 763, 1236, 2667, 3463, 4332, 5640, 7219, 8225, 556, 1838, 2667, 4034, 4960, 5348, 6620, 7770, 1008, 1843, 2137, 3253, 4805, 6187, 6930, 7453, 277, 1778, 2867, 3561, 4501, 6176, 6290, 7260, 547, 1179, 2133, 3659, 5110, 5600, 6876, 8125, 938, 1356, 2311, 3847, 4673, 5368, 7158, 7512, 864, 1916, 2209, 3426, 5023, 5354, 6579, 7508, 1063, 2095, 3108, 3752, 5003, 5265, 7023, 7367, 961, 1727, 2643, 3259, 4995, 5821, 6884, 7791, 951, 1913, 2189, 3954, 5138, 6080, 6408, 7557, 110, 1686, 2288, 4137, 4234, 5503, 7172, 7621, 1008, 2029, 2652, 3401, 5023, 6077, 6234, 7481, 320, 1205, 2796, 3712, 4808, 5372, 6828, 7922, 975, 1535, 2613, 3486, 5081, 5594, 6957, 7854, 1024, 1778, 2286, 3449, 4256, 5592, 6334, 7546, 975, 1469, 2385, 3953, 5138, 5594, 7021, 8251, 975, 1270, 2705, 4034, 4678, 6015, 6737, 7892, 975, 1535, 2721, 3953, 4176, 5594, 6293, 7400, 498, 1217, 2948, 3254, 4678, 5783, 6545, 8000, 92, 1179, 2152, 3326, 4239, 5819, 7140, 7430, 864, 1469, 2764, 3533, 4954, 5644, 6954, 7405, 547, 1469, 2940, 3220, 4467, 6022, 6600, 8266, 864, 1522, 2966, 3668, 4542, 5606, 6570, 7941, 547, 1469, 2222, 3440, 4853, 5644, 7037, 7846, 277, 1331, 2361, 3388, 4444, 6065, 6710, 8120, 864, 1871, 2361, 3253, 4917, 5886, 6755, 7438, 1008, 1755, 2869, 3554, 4955, 5650, 6899, 8054, 1016, 1468, 2587, 3577, 5005, 5707, 7149, 7828, 1016, 1995, 2748, 3554, 4866, 5514, 6772, 7421, 1016, 1995, 2137, 3302, 4717, 6149, 6755, 7366, 779, 2064, 3108, 3388, 5079, 6144, 6706, 7890, 571, 1318, 2925, 3856, 5020, 5210, 6229, 7677, 684, 1668, 3043, 4171, 5060, 6103, 6891, 7485, 401, 1608, 2352, 4067, 5058, 5883, 7006, 8260, 405, 1804, 2709, 3916, 5058, 5259, 6967, 7473, 994, 1770, 2163, 3356, 4187, 5633, 6333, 7788, 664, 1151, 2182, 4128, 5124, 5518, 7197, 8239, 835, 2118, 2785, 3366, 4740, 5995, 6541, 8203, 774, 1356, 2343, 3394, 4421, 5425, 6456, 7824, 545, 1688, 2487, 4030, 5085, 6056, 6528, 8050, 512, 1620, 2520, 3662, 4586, 6025, 7203, 7421, 1097, 1664, 2727, 3917, 4282, 6205, 7047, 7764, 510, 1467, 3006, 4026, 4512, 5630, 6776, 7806, 818, 1992, 2834, 3886, 4888, 5661, 7010, 7720, 105, 2017, 2970, 3803, 4762, 5687, 7041, 7563, 789, 1623, 2858, 4026, 4782, 5296, 7019, 7732, 225, 1452, 2944, 3850, 4191, 5811, 6979, 8262, 225, 2106, 2181, 4145, 5120, 5901, 6604, 8130, 568, 1269, 2181, 3744, 4949, 5650, 6746, 7664, 568, 1623, 2656, 3470, 4622, 5590, 7006, 7615, 757, 1286, 2946, 3746, 4225, 5223, 6895, 7427, 335, 1561, 2340, 3934, 5183, 5844, 7220, 7494, 685, 1411, 2232, 4155, 4321, 5601, 6525, 7466, 223, 1164, 2687, 4022, 5040, 5472, 6779, 8046, 716, 1562, 2548, 3298, 4717, 5515, 6612, 8227, 504, 1499, 2309, 3687, 4896, 5942, 7100, 7675, 223, 1407, 2167, 3430, 4297, 5479, 6535, 7753, 643, 1514, 2737, 3618, 4237, 5391, 7247, 7458, 504, 1499, 3108, 4068, 4374, 5910, 6302, 7768, 1025, 1682, 2133, 3829, 4803, 5352, 6898, 7810, 887, 1717, 2803, 3886, 4554, 5376, 6725, 7279, 1081, 2033, 2352, 3440, 4691, 5212, 6920, 7764, 211, 1782, 2944, 3609, 4318, 5893, 6467, 8214, 610, 1919, 2436, 4027, 4455, 5586, 7052, 8016, 610, 1255, 2582, 4145, 5145, 5730, 6972, 8085, 211, 1360, 2315, 4145, 4954, 5321, 6776, 8066, 1090, 1978, 3064, 3521, 4896, 5678, 6809, 7807, 663, 1370, 2144, 3826, 4622, 5901, 6884, 7557, 424, 2125, 3043, 3987, 4592, 6085, 7207, 8066, 955, 1218, 2793, 4078, 4966, 6146, 6734, 7664, 610, 1238, 3033, 3188, 5085, 5431, 6776, 8083, 1090, 1978, 3064, 4145, 4179, 5840, 6734, 8237, 1025, 1797, 2783, 3581, 4215, 5534, 7157, 8076, 1057, 1660, 2697, 4026, 4966, 6111, 6693, 8244, 1089, 1548, 2680, 3735, 4273, 5902, 7140, 7701, 208, 1691, 3085, 3322, 4887, 5313, 6963, 7892, 1036, 1537, 2835, 3486, 4718, 5602, 6422, 7946, 673, 1400, 2869, 3660, 4842, 6054, 6913, 7681, 1088, 1631, 2137, 4010, 4539, 5566, 6793, 7865, 1088, 1807, 2608, 3319, 4734, 5888, 6576, 7724, 545, 1512, 2826, 3939, 4966, 5968, 6383, 7852, 831, 1905, 2338, 4147, 4622, 5210, 6375, 8061, 304, 2046, 2794, 3994, 4512, 5761, 6670, 7912, 308, 1318, 2870, 3908, 5165, 5534, 6630, 7481, 1097, 2000, 3098, 4152, 5080, 6205, 7047, 8066, 186, 2000, 2960, 3803, 4287, 5883, 6771, 8237, 186, 2046, 2806, 4174, 4822, 5883, 6709, 8237, 186, 2046, 3008, 3982, 5104, 6211, 6979, 7806, 935, 1804, 2803, 4174, 5061, 5883, 6996, 8196, 935, 1933, 3043, 3886, 5080, 6085, 6668, 7570, 571, 1827, 3110, 4018, 5106, 5534, 6771, 8066, 392, 1881, 2508, 3917, 4588, 6007, 6988, 8093, 335, 1682, 2515, 3696, 4359, 5951, 6830, 8190, 716, 1244, 2563, 3978, 4429, 5991, 7114, 7846, 271, 1633, 3036, 3233, 4774, 5314, 6619, 7785, 504, 1637, 2915, 3271, 5100, 6092, 6850, 7806, 643, 1773, 2940, 3877, 5159, 5614, 7069, 7811, 401, 2125, 2708, 3963, 4912, 5630, 6589, 7957, 955, 1721, 3150, 3776, 4287, 6211, 6668, 7500, 536, 1320, 2847, 3582, 5095, 5758, 6756, 7462, 786, 1808, 2625, 4103, 4278, 5640, 6923, 8149, 807, 1808, 2751, 3968, 5018, 5587, 7059, 8210, 545, 1942, 2288, 3967, 4873, 5867, 7222, 7794, 487, 1255, 2491, 3276, 4604, 5470, 6835, 7965, 986, 1924, 3029, 3934, 4952, 5843, 7017, 7752, 807, 1935, 3116, 4128, 4609, 6104, 6414, 7664, 956, 1587, 3021, 3726, 4867, 5344, 6486, 7865, 956, 1998, 3006, 3873, 5080, 5436, 7160, 7677, 475, 1998, 2803, 3352, 4586, 5514, 6979, 8164, 256, 1620, 2560, 3550, 4916, 6206, 6612, 7442, 824, 1345, 2370, 3183, 4877, 5830, 7230, 7799, 195, 1440, 3035, 3827, 5179, 5963, 6802, 7649, 356, 1684, 3008, 3782, 4859, 5500, 6749, 7563, 948, 1773, 2608, 4068, 4611, 5797, 6302, 7378, 723, 1185, 2826, 3842, 4338, 6068, 7122, 7534, 632, 1951, 2265, 3313, 5114, 5706, 6385, 7874, 1004, 1550, 3126, 3558, 4604, 5578, 7220, 7839, 737, 1550, 3066, 3434, 4242, 5867, 6282, 7336, 952, 1942, 2902, 4073, 4364, 5792, 6410, 7973, 510, 1674, 2809, 4082, 4555, 5904, 6584, 8107, 915, 1623, 3006, 3876, 4681, 5640, 6774, 7776, 914, 1876, 2970, 3866, 4287, 5811, 6235, 7723, 940, 2073, 2893, 3732, 4429, 5430, 6494, 7939, 405, 1992, 3092, 3513, 4762, 6204, 7132, 7816, 684, 2073, 2771, 3352, 4197, 5978, 7232, 7992, 767, 1773, 2503, 3391, 4374, 6073, 7230, 7957, 335, 1912, 2346, 3398, 5106, 5530, 6439, 7687, 504, 2008, 2915, 3218, 5084, 6083, 6287, 8009, 784, 1706, 2292, 3218, 4308, 6172, 7053, 7297, 104, 2053, 3005, 3218, 4842, 6002, 6764, 7930, 104, 1808, 2895, 3937, 4467, 6002, 6764, 7547, 104, 1388, 2805, 3421, 4830, 5614, 6915, 7466, 104, 1388, 2250, 3949, 4804, 5746, 7014, 7744, 104, 1576, 2791, 3575, 5183, 5441, 7017, 8028, 850, 1773, 2566, 3968, 4269, 5477, 6566, 8132, 884, 1821, 3039, 3967, 4604, 5780, 6814, 8186, 936, 2059, 2658, 4070, 4810, 6221, 6756, 7483, 458, 1850, 2309, 3427, 4852, 5404, 6567, 8111, 344, 1205, 2232, 3404, 4672, 5569, 6965, 8174, 277, 1919, 2137, 3568, 4490, 6068, 6718, 8081, 277, 1146, 2383, 3780, 4620, 5287, 6667, 8081, 1008, 1633, 2715, 3401, 4364, 6159, 6650, 7396, 914, 1897, 2746, 3226, 4554, 6085, 7168, 8195, 914, 2056, 2391, 4085, 5104, 5883, 6771, 7528, 935, 2056, 3095, 3488, 4782, 5705, 6988, 7949, 935, 2032, 2746, 4105, 4287, 6014, 7023, 7641, 935, 2064, 2730, 3886, 5165, 5661, 6668, 8237, 914, 1620, 2781, 3188, 5060, 5661, 6996, 8267, 421, 1817, 3147, 3793, 4862, 5890, 6651, 7801, 967, 1833, 2316, 3886, 4857, 5364, 7168, 8002, 450, 1871, 2137, 4006, 5040, 6208, 7037, 8126, 223, 1523, 2383, 4171, 4495, 5607, 7205, 7838, 973, 1926, 2580, 3590, 4544, 5298, 6784, 7491, 1089, 1926, 2750, 3865, 4356, 6039, 6295, 8023, 203, 1167, 2137, 3379, 4901, 5286, 6463, 7470, 249, 1168, 2137, 3263, 4992, 6040, 6879, 7814, 203, 1167, 2390, 3559, 4471, 5470, 6658, 7746, 278, 1894, 2137, 3979, 5011, 5431, 7190, 7582, 314, 1894, 2137, 3849, 4518, 5495, 7166, 7977, 310, 1463, 2137, 3626, 4212, 5212, 6823, 8123, 864, 1655, 2827, 4058, 4462, 5964, 6957, 8075, 655, 1655, 2819, 3709, 4707, 5900, 6669, 8061, 655, 2059, 2222, 3557, 4436, 5728, 7223, 7866, 272, 1323, 3044, 3192, 4864, 5511, 6424, 7361, 1003, 1758, 2170, 3709, 4870, 5433, 6755, 7521, 938, 1373, 2865, 3620, 4902, 6020, 6850, 7844, 571, 1562, 3135, 3487, 4918, 5362, 6300, 7591, 804, 2001, 2293, 4115, 4691, 5534, 6588, 8260, 1102, 2098, 2638, 4168, 5183, 6085, 6467, 8173, 868, 1834, 2897, 4124, 4358, 5500, 7232, 8257, 632, 1286, 2656, 4120, 4774, 6118, 6728, 7457, 363, 2024, 2911, 3884, 4639, 5861, 6672, 7752, 725, 1356, 2705, 3363, 4973, 6163, 6888, 7393, 1101, 1284, 3070, 3454, 4330, 5377, 6486, 7535, 386, 1672, 3091, 3581, 4881, 5825, 6572, 7531, 610, 1562, 2994, 3873, 5166, 5730, 6953, 8248, 678, 1717, 2737, 3190, 4583, 6131, 6308, 7664, 970, 1688, 2737, 3246, 4966, 6007, 7002, 8036, 150, 1227, 2313, 3870, 4333, 5664, 7232, 7393, 271, 1668, 2737, 3558, 4933, 5749, 6824, 8063, 150, 1399, 2785, 3901, 4954, 5844, 6777, 7508, 643, 1675, 3092, 3575, 4419, 5515, 6421, 7625, 504, 1206, 2250, 3408, 4611, 6050, 6383, 7560, 875, 1183, 2931, 3304, 4830, 5697, 6456, 7366, 900, 1503, 2376, 3462, 4364, 6116, 6637, 7453, 371, 1402, 2137, 3314, 4248, 6210, 6354, 7389, 833, 1620, 3149, 3304, 4715, 5492, 6569, 8181, 256, 2030, 2971, 3918, 4582, 5331, 6860, 7290, 901, 1597, 2709, 3478, 4671, 5643, 7104, 7877, 256, 2030, 2803, 3645, 4555, 6137, 6612, 8237, 789, 1525, 3021, 4097, 4792, 6171, 6972, 7831, 256, 2028, 2473, 4115, 4214, 6205, 7120, 8260, 789, 2030, 2454, 3681, 5106, 6103, 6840, 7899, 789, 1525, 2944, 4085, 4912, 6205, 6840, 7706, 789, 1525, 3006, 4092, 4287, 6205, 7047, 7806, 256, 1851, 2803, 3710, 5166, 5630, 6810, 7303, 256, 1851, 3144, 4026, 5103, 5548, 7232, 8239, 356, 2001, 2598, 3962, 4918, 6157, 6979, 7904, 731, 1318, 3150, 3295, 4616, 5567, 7052, 7602, 249, 2049, 2137, 3701, 4333, 5643, 6942, 7836, 1023, 1926, 2997, 3408, 4495, 5345, 6244, 7442, 203, 1543, 2727, 3727, 5178, 5867, 6999, 7983, 966, 1630, 2173, 3421, 4508, 5851, 6879, 8061, 360, 1708, 2540, 3356, 4728, 5585, 6494, 8085, 363, 1904, 2748, 3549, 4341, 5382, 6603, 7581, 314, 1547, 3029, 3548, 5014, 5799, 6927, 8070, 650, 1553, 2623, 3936, 4884, 5617, 6414, 7737, 1029, 1227, 2543, 3246, 5092, 5737, 6908, 7535, 504, 1776, 2661, 3233, 4873, 5354, 7043, 7920, 318, 1834, 2595, 3372, 4852, 5407, 7023, 7494, 386, 1509, 2282, 3600, 5026, 5786, 6907, 7802, 784, 1529, 2855, 3497, 4795, 5632, 6650, 8056, 1009, 1303, 3040, 3717, 4623, 5236, 6509, 7722, 1067, 1768, 2207, 3688, 4326, 5387, 6478, 7884, 386, 1548, 2207, 3345, 5175, 5785, 6728, 8189, 211, 1670, 2936, 4036, 5008, 5644, 6935, 7870, 308, 1523, 3150, 3516, 5166, 6222, 6463, 8054, 955, 1707, 2707, 3914, 4215, 5210, 7098, 7557, 645, 1850, 2352, 3566, 4954, 5797, 7010, 7901, 1062, 1898, 2732, 4154, 4844, 5844, 6784, 7865, 363, 1318, 2791, 3702, 4834, 5314, 6438, 8235, 1067, 1468, 3145, 3960, 4920, 5208, 6421, 7538, 386, 1812, 2541, 3960, 4673, 5590, 6456, 7616, 150, 1469, 2800, 3358, 4794, 5514, 6361, 7658, 1025, 1469, 3126, 3510, 4698, 5765, 7087, 7841, 643, 1950, 2490, 3854, 4242, 5388, 6765, 8028, 887, 1664, 2490, 3369, 4690, 5289, 6938, 7415, 887, 1881, 2389, 4142, 5011, 6160, 6702, 7676, 887, 2064, 2974, 4142, 5079, 5534, 6668, 8054, 150, 1318, 2259, 3300, 4597, 6147, 7048, 7426, 150, 1672, 2623, 3218, 4517, 5976, 7007, 7735, 826, 1535, 2658, 3259, 5148, 5965, 6438, 7834, 535, 2056, 3056, 3873, 4874, 5496, 6746, 8248, 1023, 1432, 3037, 3709, 4736, 5253, 6567, 7815, 888, 1494, 2199, 3425, 4751, 5373, 6739, 7810, 458, 1512, 3010, 3313, 4910, 5964, 6760, 8142, 249, 1479, 2667, 3792, 4763, 5332, 6502, 7426, 154, 1816, 3141, 3924, 4371, 6074, 6502, 7481, 123, 1402, 2511, 3995, 4376, 5299, 6500, 7901, 736, 1630, 3107, 4095, 5017, 5768, 6659, 7395, 888, 1812, 2511, 3946, 4495, 5565, 6782, 7270, 531, 2072, 2130, 3782, 4371, 6086, 6357, 7841, 531, 1441, 2174, 4128, 4678, 5658, 6446, 7712, 1080, 1338, 2265, 3527, 4426, 5600, 6293, 7729, 494, 1778, 2737, 3631, 4543, 6221, 6454, 7663, 668, 1217, 2311, 3736, 4507, 5624, 6760, 8241, 1036, 1838, 2633, 3498, 4876, 5608, 6623, 8226, 862, 1522, 2599, 3408, 4457, 5473, 7115, 8140, 668, 1559, 2848, 3727, 4507, 6179, 6278, 7324, 1008, 1571, 2481, 4128, 4238, 5431, 6838, 7618, 277, 1281, 2892, 3474, 5073, 5745, 6903, 7923, 913, 1173, 3095, 3901, 4315, 5305, 7012, 7594, 1047, 1736, 2716, 3901, 4186, 5834, 6579, 8006, 211, 1717, 2559, 3982, 5165, 5630, 6239, 7806, 845, 1198, 2920, 3437, 5116, 6086, 6347, 7313, 1011, 1139, 2920, 3908, 4918, 5361, 7232, 7563, 914, 2068, 2729, 3961, 5096, 5385, 7207, 7570, 510, 1600, 2996, 3188, 5166, 5378, 6972, 8267, 935, 1175, 2834, 3990, 5165, 5883, 6809, 7876, 818, 1992, 2803, 3440, 4980, 6085, 6515, 7876, 555, 1856, 2925, 3188, 4870, 5241, 7111, 8195, 617, 1332, 2833, 3914, 4533, 5678, 7132, 8179, 617, 1847, 3006, 4071, 4583, 6137, 7023, 7838, 617, 1332, 2970, 3420, 4918, 5296, 6755, 7907, 105, 2002, 2970, 3277, 4985, 5296, 7120, 7715, 617, 1468, 2833, 4124, 4387, 5385, 6740, 8252, 105, 2111, 2340, 3827, 4512, 5241, 6688, 8061, 105, 2002, 2970, 4171, 4780, 5515, 7129, 8061, 617, 2002, 3064, 3592, 4549, 5413, 6840, 7715, 617, 1750, 2554, 3891, 4555, 5689, 6717, 7811, 617, 1332, 2554, 4068, 4615, 5296, 6677, 7537, 617, 1750, 2858, 3376, 4790, 5924, 6584, 8061, 617, 1750, 2554, 4174, 4555, 5385, 6810, 8261, 617, 1750, 2554, 3374, 4555, 5840, 7152, 7706, 4, 2 ]

[ 1, 30, 11, 52, 78, 5, 5, 5, 66, 73, 5, 5, 5, 26, 5, 14, 53, 5, 65, 69, 63, 5, 5, 5, 41, 20, 63, 5, 31, 16, 5, 52, 45, 66, 16, 52, 5, 76, 17, 54, 78, 5, 5, 5, 16, 54, 30, 5, 64, 51, 63, 14, 62, 28, 70, 51, 64, 5, 5, 5, 16, 54, 30, 5, 5, 3, 211, 1721, 2750, 3918, 4334, 5908, 6605, 8078, 304, 2079, 3033, 3961, 5145, 5314, 7019, 8078, 804, 2046, 2582, 4145, 5104, 5431, 7129, 8126, 756, 1971, 2709, 3385, 4877, 5340, 6270, 7288, 1052, 1510, 2587, 3433, 4777, 5935, 7085, 7926, 994, 1496, 2766, 3332, 4424, 5286, 6592, 8202, 723, 1346, 2706, 3421, 4383, 5371, 7212, 7608, 493, 1582, 2868, 3191, 4724, 6074, 6279, 8128, 333, 1582, 2532, 3233, 4618, 5404, 6525, 7629, 875, 1199, 2882, 3244, 4548, 5729, 6773, 8088, 360, 1757, 2198, 3727, 5081, 5869, 6458, 7990, 296, 1489, 2173, 3208, 4960, 5759, 6477, 7912, 472, 2036, 2751, 4137, 4982, 5754, 7137, 7413, 113, 2050, 2603, 4140, 4506, 5905, 6295, 8197, 810, 1440, 2296, 3429, 4435, 5441, 6350, 8218, 895, 1469, 2153, 4137, 4197, 5344, 6351, 7617, 494, 1469, 2149, 4073, 4643, 5934, 6577, 7360, 1067, 1440, 2460, 3284, 4417, 5722, 6635, 7800, 826, 2089, 2130, 4050, 5154, 5653, 6348, 7590, 610, 2089, 3108, 3688, 4580, 5623, 6426, 8247, 1001, 1671, 3149, 3547, 4321, 5511, 7163, 8257, 778, 1871, 3151, 4078, 5154, 5769, 6348, 7995, 1016, 2036, 2970, 4064, 4742, 5352, 7157, 8227, 961, 1248, 2232, 3643, 4543, 5694, 7196, 7823, 825, 1865, 2716, 4046, 5110, 5642, 7150, 7985, 518, 2067, 2661, 4047, 4437, 5863, 6277, 8266, 195, 1550, 2868, 3754, 4816, 5705, 7010, 8158, 654, 1550, 2878, 3951, 5151, 5694, 7085, 7660, 228, 1851, 2803, 3891, 4646, 5548, 6604, 7707, 240, 2078, 2370, 4085, 5188, 5766, 7132, 7393, 256, 2078, 3064, 3703, 4555, 5963, 6453, 7501, 915, 1851, 2858, 4071, 4859, 6139, 7201, 8061, 789, 1623, 2858, 3975, 4459, 6110, 6604, 7677, 225, 2030, 2718, 4006, 5165, 5289, 7096, 7706, 225, 1347, 2946, 3914, 4275, 5908, 6996, 8267, 541, 1971, 2839, 3605, 4737, 5991, 7232, 7691, 552, 2106, 2608, 3955, 5138, 5493, 7044, 8185, 160, 1424, 3075, 3595, 4551, 6146, 6745, 7664, 160, 1759, 2564, 3975, 4717, 6194, 7246, 7383, 104, 1682, 2716, 3873, 4717, 6221, 6927, 7492, 936, 1682, 2661, 3300, 4675, 6183, 6976, 7537, 936, 1897, 2207, 4064, 4942, 5378, 6380, 8044, 993, 1838, 2793, 3268, 4653, 5228, 6848, 7855, 1025, 1499, 2923, 3964, 4326, 5325, 7133, 7508, 778, 1550, 2565, 3384, 4715, 6117, 6884, 7954, 778, 1747, 2137, 4095, 4978, 5674, 6436, 8241, 536, 1290, 2137, 3395, 5040, 6223, 6912, 7868, 277, 1808, 3066, 4168, 4543, 5220, 7146, 8039, 876, 1469, 3066, 4167, 5100, 6181, 7227, 7770, 261, 2050, 3010, 3943, 4577, 5332, 6748, 8157, 546, 1426, 2149, 3883, 4330, 6040, 6777, 7286, 900, 1426, 2961, 3576, 4290, 5849, 6375, 7954, 493, 2036, 2670, 3356, 4587, 5495, 6748, 7666, 870, 1146, 2359, 3425, 4285, 5933, 7153, 7265, 966, 1609, 3091, 3706, 5199, 5366, 6730, 7561, 538, 1826, 2643, 3261, 5195, 5585, 6864, 7561, 1080, 1732, 2755, 3900, 4571, 5577, 6532, 8136, 1036, 1375, 2751, 3639, 4848, 5269, 6371, 7436, 862, 1399, 2327, 3155, 4458, 5745, 6804, 7279, 702, 1397, 3105, 4082, 4364, 6183, 7181, 7649, 668, 1494, 2867, 3394, 4966, 5578, 7169, 7770, 1040, 1832, 2751, 3859, 4631, 5643, 6911, 8105, 840, 2053, 2258, 4007, 4316, 6119, 6798, 7516, 408, 1607, 2241, 3355, 4588, 5545, 7181, 7445, 104, 1227, 3020, 3351, 5000, 5534, 7055, 7707, 104, 1777, 2440, 3323, 4189, 5838, 6272, 8016, 104, 1411, 2803, 3962, 5124, 5700, 6272, 7821, 104, 1721, 2895, 3430, 4334, 5641, 6631, 7928, 104, 1778, 2695, 3233, 4882, 5767, 6487, 8132, 645, 1369, 2263, 3185, 4743, 5768, 6799, 8236, 757, 2024, 2242, 3913, 4379, 6119, 7212, 8238, 225, 1286, 2253, 3307, 4398, 6059, 6893, 7855, 518, 1550, 2718, 3341, 5077, 5504, 6657, 7612, 183, 1706, 2341, 3955, 5145, 5520, 6579, 8209, 568, 1706, 2904, 3827, 5120, 6187, 6308, 8136, 568, 1695, 3035, 3352, 4638, 5765, 6231, 8164, 118, 1958, 2328, 3631, 5142, 6117, 6895, 7428, 568, 1133, 2944, 3879, 4347, 5276, 6898, 7728, 397, 2127, 2242, 3798, 5040, 5333, 6893, 7636, 757, 1858, 2818, 3746, 5024, 6065, 6241, 7838, 859, 1684, 2340, 3595, 4877, 5767, 6740, 7865, 684, 1971, 2729, 3391, 4225, 6117, 6688, 7664, 216, 1561, 2924, 3533, 4470, 5802, 6584, 7557, 752, 2001, 2991, 3983, 4671, 6119, 6589, 8124, 993, 2059, 2553, 3430, 4930, 5308, 6424, 7366, 993, 1655, 2553, 3452, 4971, 5353, 6466, 8264, 993, 1838, 2435, 3769, 4348, 5422, 7198, 8108, 826, 1674, 2732, 3890, 5097, 5393, 6708, 8048, 993, 1838, 2518, 3652, 5092, 5704, 6910, 7632, 993, 1838, 2518, 3165, 5092, 6117, 6476, 7795, 993, 2070, 3015, 3796, 4701, 6119, 6921, 7344, 1016, 2048, 2203, 3356, 5114, 5862, 6669, 8219, 344, 1924, 2137, 3885, 4565, 5421, 6731, 8041, 803, 1717, 2137, 3156, 4797, 5733, 7083, 8202, 993, 1913, 2137, 3598, 4364, 6080, 6830, 8030, 1029, 1469, 3066, 3781, 4946, 5899, 6601, 8193, 1090, 1523, 2347, 3931, 4278, 5403, 6596, 7270, 899, 1649, 2936, 3824, 4529, 5342, 6771, 7829, 789, 2084, 2941, 3987, 4398, 5216, 6820, 7260, 518, 1345, 2975, 3396, 5088, 5666, 7010, 7291, 878, 1108, 2484, 3932, 4962, 5903, 7085, 7290, 878, 1833, 2996, 3364, 4870, 5503, 7127, 7476, 450, 2097, 2730, 3932, 5085, 5834, 7090, 7672, 767, 1318, 2912, 4074, 5041, 6175, 6338, 7584, 1067, 1260, 2294, 3561, 5148, 5220, 6333, 8154, 83, 1469, 2336, 3318, 4367, 5443, 6351, 8137, 736, 1167, 2260, 3924, 4581, 5287, 6458, 8109, 895, 1260, 2137, 3610, 4336, 6135, 6461, 8150, 150, 1726, 2137, 3573, 4661, 5440, 6840, 7565, 304, 1700, 2137, 3258, 5052, 5772, 6436, 7842, 405, 1620, 2783, 3408, 4965, 5907, 6769, 7715, 715, 1660, 2534, 4135, 4537, 5618, 6444, 7733, 613, 1499, 2386, 3573, 5070, 5543, 6272, 7787, 459, 1700, 2328, 3779, 4537, 6128, 6783, 7795, 299, 2070, 2137, 3859, 5075, 5745, 7095, 7801, 458, 1630, 2894, 3356, 4595, 5745, 6861, 8192, 271, 1261, 2766, 3329, 4238, 5313, 6995, 8142, 150, 2050, 2610, 3333, 4364, 5380, 6957, 8050, 923, 1924, 2137, 3307, 4348, 5640, 6715, 7336, 211, 1117, 3092, 4103, 4702, 5761, 7163, 7583, 610, 1814, 2258, 3314, 4954, 5678, 6791, 7929, 288, 1833, 2137, 3909, 5012, 5963, 6915, 8070, 923, 1403, 2282, 3603, 4702, 6113, 6348, 7438, 535, 2048, 2868, 3793, 4576, 5898, 6908, 7618, 993, 1531, 2484, 3777, 4530, 5799, 6476, 7804, 536, 1531, 2807, 3957, 4458, 5875, 6505, 7614, 299, 1531, 2330, 3563, 4967, 5799, 7236, 8015, 150, 1531, 2974, 4165, 4186, 5618, 6586, 8013, 959, 1382, 3108, 3227, 5183, 5325, 6243, 8012, 536, 1633, 2892, 3376, 4734, 5512, 6684, 7497, 850, 1838, 2974, 3245, 4343, 5576, 6703, 7779, 826, 1838, 2348, 3748, 4330, 5279, 7236, 7397, 150, 2050, 2348, 3543, 4404, 5818, 6314, 8047, 150, 1674, 2348, 3489, 4506, 6118, 6903, 7885, 150, 1674, 2359, 3427, 4570, 6118, 7190, 7885, 150, 2050, 2897, 3568, 5072, 5359, 6414, 8043, 887, 1469, 3106, 3991, 4994, 6056, 6657, 7549, 1090, 1737, 3019, 3979, 4953, 5345, 7220, 7831, 610, 1120, 3121, 3964, 4700, 5249, 6574, 7876, 1011, 1182, 2980, 4098, 4856, 6070, 7149, 7842, 778, 2095, 2459, 3602, 4729, 5334, 7237, 7270, 850, 1992, 2194, 3480, 4766, 5991, 6426, 7674, 1008, 1984, 2536, 3741, 4531, 5806, 7008, 7898, 113, 1251, 2888, 4146, 5100, 5293, 6922, 7638, 730, 1469, 2470, 3624, 5030, 6007, 6316, 7795, 360, 1469, 3102, 3642, 5107, 6071, 6225, 7798, 1080, 1316, 2173, 3493, 4546, 5679, 7123, 7953, 404, 1912, 2389, 3287, 4514, 5512, 7140, 8122, 212, 1369, 2502, 3925, 4299, 6017, 6875, 7611, 113, 1145, 2716, 3908, 4456, 5346, 6866, 8138, 1057, 1609, 2832, 3756, 4855, 6060, 6414, 8098, 895, 1674, 2974, 3853, 4364, 5814, 7194, 8233, 271, 1808, 2599, 3970, 4807, 5810, 6309, 8100, 1025, 1640, 2515, 3964, 4330, 5706, 6286, 7752, 1025, 2009, 2678, 4150, 4780, 5413, 6735, 8054, 993, 1141, 2401, 4150, 4993, 5722, 7052, 8073, 826, 1141, 2793, 3707, 5193, 5325, 7163, 8046, 881, 1531, 2891, 3979, 4547, 5512, 6415, 7451, 778, 1531, 2826, 3963, 4686, 5643, 6338, 7423, 274, 1463, 2436, 4079, 4929, 5764, 6788, 7515, 1014, 1912, 2163, 3428, 4321, 5948, 7114, 7547, 576, 1363, 2429, 3394, 4518, 5474, 6366, 7524, 225, 1773, 2669, 3394, 4470, 5814, 6757, 8030, 654, 1644, 2869, 3982, 4622, 5425, 7162, 7563, 225, 1644, 2554, 3225, 4329, 5465, 7090, 7711, 183, 1851, 2359, 4096, 5138, 5944, 6740, 7867, 105, 2000, 2359, 4096, 4387, 5892, 6757, 8260, 484, 2111, 3064, 3391, 5135, 6137, 7132, 7303, 488, 1622, 2554, 3595, 4877, 6103, 6584, 8102, 915, 1622, 2806, 3595, 4877, 6129, 7077, 7806, 555, 2017, 2806, 3188, 5138, 5705, 6291, 8223, 555, 1648, 2858, 4145, 4870, 6175, 6338, 8237, 555, 1623, 2970, 3891, 5138, 6137, 6996, 8126, 555, 1623, 2833, 3374, 4624, 5534, 6584, 7865, 555, 2111, 2858, 3893, 5079, 5241, 6996, 7831, 555, 2111, 2833, 3374, 4374, 5436, 6688, 7485, 915, 2111, 2914, 3893, 4704, 5635, 6794, 7766, 555, 2111, 2970, 3391, 4681, 5635, 7124, 8126, 555, 2111, 3021, 3680, 4512, 5981, 6584, 8196, 555, 2111, 2554, 3374, 4583, 5767, 6988, 7723, 555, 2111, 2833, 4026, 4583, 5515, 6740, 7753, 859, 2111, 2858, 4166, 4870, 5963, 7098, 7723, 105, 2106, 2833, 4068, 4214, 5515, 7077, 8126, 617, 1332, 3064, 3879, 4536, 5385, 6840, 8261, 105, 2106, 2833, 4068, 4214, 5385, 6589, 8223, 105, 1332, 3021, 4068, 4555, 5219, 6584, 7715, 617, 1750, 2833, 3374, 5159, 5580, 6338, 7664, 859, 2127, 2806, 3914, 4583, 5811, 6338, 7715, 859, 2127, 2806, 3374, 4859, 5635, 7077, 7303, 859, 2127, 2806, 4068, 5134, 5493, 7100, 7715, 555, 1623, 2833, 4068, 4681, 5515, 6589, 7303, 859, 1695, 3150, 4018, 5038, 5385, 7152, 8126, 555, 1147, 3064, 3566, 5088, 6205, 7077, 8076, 555, 1623, 2833, 3374, 5157, 5635, 6996, 8080, 555, 1648, 2839, 4171, 5159, 5219, 6996, 8080, 555, 1684, 3143, 3873, 4888, 5678, 6408, 7831, 915, 1684, 2164, 4145, 5060, 5219, 7077, 8196, 915, 2017, 2806, 3893, 5060, 6186, 6752, 8223, 488, 1684, 2914, 3893, 5157, 6139, 6584, 8147, 488, 1684, 2806, 3893, 5157, 6139, 6584, 8147, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8223, 488, 1528, 2164, 3893, 4798, 6139, 6786, 8223, 475, 1623, 2833, 4113, 4583, 5612, 6604, 7485, 499, 1286, 2988, 3413, 4697, 5418, 6616, 7604, 615, 2069, 2507, 3353, 4285, 6125, 6304, 7350, 261, 1536, 2151, 3417, 4806, 5490, 6518, 8263, 616, 1805, 2380, 4098, 4243, 5552, 6675, 7418, 966, 1349, 2203, 3603, 4854, 5918, 6593, 8152, 862, 1397, 2761, 3690, 4873, 5704, 6606, 7515, 271, 1826, 3097, 3457, 4946, 6145, 6547, 7987, 610, 2055, 2128, 3671, 4773, 6145, 7129, 7620, 150, 1881, 2129, 3316, 4321, 5454, 6382, 7426, 424, 1306, 3003, 3776, 4985, 6129, 7090, 7776, 887, 1881, 2239, 3991, 5169, 6182, 6382, 8158, 613, 1453, 3033, 3623, 4337, 5381, 7126, 7658, 654, 1770, 2316, 3208, 4467, 6024, 7000, 7527, 654, 2030, 2221, 3298, 4713, 5845, 6510, 7341, 195, 1700, 3061, 3364, 4344, 5796, 7160, 8099, 518, 1458, 3004, 3516, 4622, 5901, 6900, 8179, 228, 1210, 2975, 3359, 5143, 5624, 7197, 7559, 225, 1938, 2792, 3723, 4782, 5811, 7100, 8061, 225, 1283, 2659, 3413, 4184, 6205, 6734, 7318, 568, 2111, 2287, 3566, 5150, 5723, 6740, 8061, 757, 1736, 2965, 3550, 5106, 5844, 6386, 7749, 484, 1386, 2746, 3391, 4912, 5386, 6889, 7631, 186, 2002, 2860, 4071, 4704, 5219, 6486, 7563, 915, 2078, 3064, 4125, 4859, 5514, 6794, 8061, 915, 1528, 3065, 4174, 4859, 6182, 6612, 8164, 473, 2032, 2356, 4026, 4794, 5548, 7047, 7658, 355, 1900, 2641, 3749, 4554, 5534, 7112, 7309, 475, 1833, 3144, 3710, 4867, 5649, 6677, 7591, 959, 1705, 3007, 4096, 4423, 5550, 6784, 7591, 893, 1194, 2389, 4153, 4334, 5584, 6750, 8155, 897, 1742, 3045, 3380, 4762, 5673, 6819, 7542, 492, 1510, 2713, 3957, 4742, 5743, 6458, 7888, 492, 1940, 2494, 3900, 5114, 5683, 7064, 8129, 247, 1737, 3029, 3535, 4187, 5577, 6651, 7935, 247, 1193, 2644, 3562, 4614, 5377, 7038, 8024, 759, 2118, 2654, 4112, 4952, 5657, 6612, 8154, 984, 2097, 2424, 3994, 4380, 6094, 6980, 7458, 186, 1660, 3143, 4114, 5165, 6175, 6633, 7570, 337, 1750, 2991, 3866, 5060, 6205, 6953, 8093, 186, 1804, 3135, 4071, 5060, 5901, 6774, 8185, 818, 2017, 3095, 3990, 4630, 5705, 7201, 8076, 186, 2017, 2914, 3990, 4888, 5901, 7124, 7895, 488, 1528, 2781, 3803, 4624, 6081, 6752, 8237, 488, 1528, 2914, 3893, 4624, 6139, 7124, 8196, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8223, 935, 1648, 2164, 3825, 4798, 6103, 6996, 7766, 186, 1528, 2914, 3990, 4798, 5241, 7077, 7876, 682, 2098, 2669, 3613, 5167, 6217, 6974, 8083, 401, 1833, 2895, 3987, 4506, 5935, 7218, 8126, 660, 1503, 2137, 3897, 5175, 5796, 6903, 7740, 436, 1205, 2137, 3241, 4814, 6050, 6422, 7663, 1008, 1339, 3149, 3626, 4887, 5512, 6918, 8018, 1038, 1369, 2137, 3410, 5039, 6010, 6765, 7955, 113, 1478, 2282, 3537, 4402, 5905, 6502, 8163, 610, 1655, 2258, 3623, 4928, 6064, 6476, 7839, 132, 1978, 3092, 3410, 4776, 5671, 6909, 7583, 935, 2046, 3095, 3901, 4467, 6051, 7152, 8236, 914, 1175, 2899, 4067, 4653, 6025, 6972, 7876, 427, 1871, 2880, 4171, 5080, 6014, 7077, 8066, 935, 1528, 3006, 4018, 4861, 6085, 6988, 8260, 452, 1601, 2268, 3248, 4834, 5539, 6786, 7476, 757, 1198, 2867, 3762, 4998, 6084, 6927, 7918, 518, 1570, 2503, 4089, 4611, 5792, 7120, 7677, 225, 1689, 2327, 3391, 4344, 5350, 6888, 7706, 228, 2058, 2741, 3770, 5113, 5723, 7218, 8126, 228, 1684, 2987, 3394, 5103, 5890, 6291, 7386, 256, 2111, 2944, 3391, 5167, 5908, 6584, 7727, 552, 1623, 2332, 3994, 5135, 5844, 7152, 8236, 645, 1794, 2944, 4115, 5135, 5832, 6879, 8061, 403, 2034, 2731, 3277, 4225, 5844, 6485, 8015, 1091, 2028, 2346, 3240, 5160, 5624, 7010, 7447, 966, 1719, 2958, 3943, 4546, 5371, 6798, 7265, 402, 1363, 2884, 3643, 4468, 5648, 6917, 7983, 131, 2049, 2390, 3323, 4495, 5478, 7159, 8149, 683, 1966, 2873, 3394, 4389, 6178, 7144, 7270, 897, 1349, 2873, 3396, 4880, 6002, 6321, 8077, 1031, 1672, 2327, 3356, 5057, 5512, 6453, 7691, 640, 2115, 2471, 4130, 4321, 6142, 6357, 7960, 884, 1823, 2761, 3676, 4923, 5485, 6592, 7604, 465, 2120, 2238, 4143, 4661, 5205, 6457, 8139, 884, 1302, 2997, 3261, 4273, 6146, 6449, 7953, 465, 2049, 3040, 3824, 5074, 5571, 6485, 7864, 1101, 1789, 2981, 4128, 4321, 5485, 6813, 7986, 1025, 1823, 2626, 3233, 4576, 5934, 7024, 7498, 643, 1717, 2803, 3222, 4229, 6001, 7019, 8048, 150, 1255, 2241, 3155, 4510, 5960, 6251, 7557, 1025, 1302, 2741, 3540, 4856, 5765, 6774, 7870, 1029, 2079, 2455, 3917, 4622, 6024, 7150, 8185, 887, 1402, 2401, 3602, 4533, 6175, 6677, 7966, 150, 1755, 2724, 4174, 5183, 5811, 6918, 7827, 1025, 1507, 2901, 3905, 4980, 6146, 6478, 7918, 643, 2079, 2716, 3602, 4586, 5385, 7047, 7827, 1056, 1494, 2924, 4168, 4529, 5899, 6584, 7806, 715, 1635, 2709, 3470, 4592, 5752, 7084, 7383, 715, 1349, 2552, 3894, 4441, 5479, 6804, 7791, 390, 1346, 2927, 3563, 4993, 6024, 6884, 8107, 955, 1747, 2271, 4174, 5020, 5590, 6402, 8143, 1097, 1467, 2833, 3188, 4822, 5705, 6979, 8126, 956, 1684, 3135, 4108, 5159, 6051, 7201, 7949, 818, 1847, 3006, 4011, 4980, 6129, 6709, 7876, 818, 1175, 2164, 4174, 4782, 6129, 7239, 8196, 488, 1528, 3117, 3367, 4624, 6139, 6794, 8260, 488, 1528, 2914, 3893, 4630, 6139, 7077, 8147, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 4, 2 ]

[ 1, 16, 54, 30, 5, 45, 41, 5, 54, 11, 66, 5, 76, 48, 5, 51, 69, 30, 5, 51, 20, 52, 5, 41, 20, 63, 5, 43, 33, 52, 62, 5, 5, 3, 488, 1345, 2833, 3595, 5166, 6211, 7160, 7732, 555, 2127, 3147, 4068, 5079, 5550, 6752, 8076, 555, 1147, 2970, 4174, 5060, 6163, 6709, 8196, 915, 2032, 3021, 3374, 4583, 6137, 7069, 7485, 337, 2032, 2833, 3685, 4387, 6087, 7090, 7806, 186, 1945, 2493, 3825, 4822, 5635, 7239, 7485, 555, 1648, 2833, 3982, 5060, 5901, 6589, 8126, 489, 1721, 3147, 3678, 4813, 5550, 6302, 8185, 660, 1349, 2569, 3965, 4678, 5373, 6429, 7494, 302, 1724, 2725, 3792, 4818, 6197, 6790, 7438, 1040, 1112, 2335, 3964, 4945, 6156, 6242, 8028, 815, 1369, 2818, 3845, 4334, 6041, 6485, 7614, 650, 1881, 2365, 3484, 5162, 5557, 6708, 7607, 104, 1717, 2989, 4145, 5122, 6080, 6818, 7607, 390, 2003, 2210, 3949, 5125, 5573, 6646, 7664, 397, 1944, 2128, 3374, 4900, 5713, 6224, 7254, 952, 1821, 2432, 3496, 4642, 5316, 6307, 7687, 862, 1112, 3116, 4088, 5167, 5459, 6746, 7674, 725, 1282, 2688, 3749, 4880, 5959, 6860, 7528, 211, 1600, 3070, 3467, 4855, 5481, 7055, 7951, 256, 2041, 3043, 3364, 4834, 5587, 6716, 7811, 518, 1750, 3000, 3798, 5098, 5500, 6286, 7563, 256, 2030, 2542, 3188, 5157, 5550, 6848, 8061, 256, 1847, 2473, 4166, 4512, 5385, 7168, 8061, 715, 2024, 3095, 4168, 4191, 5581, 6988, 8109, 684, 2097, 2783, 4001, 4265, 5963, 7120, 8185, 392, 1255, 2365, 3717, 5047, 5968, 7220, 7602, 752, 1526, 2741, 3968, 4588, 6040, 6734, 7785, 113, 1710, 2165, 3968, 4359, 5765, 7232, 8259, 752, 1455, 2741, 3259, 4943, 5926, 6614, 7263, 247, 1635, 2185, 4025, 4476, 5557, 6335, 7966, 921, 1426, 3029, 3525, 4246, 6104, 7202, 7772, 581, 1426, 2260, 3248, 4283, 5777, 7000, 7832, 160, 1270, 2842, 3830, 4338, 6106, 7191, 7273, 610, 1370, 2892, 3979, 4441, 5339, 7086, 7688, 1025, 1370, 2805, 4064, 4761, 5320, 6284, 7291, 271, 1974, 2677, 3654, 4512, 5240, 6603, 7962, 223, 2049, 2721, 3582, 4389, 5810, 6912, 8222, 804, 1399, 3038, 4114, 5104, 5548, 6850, 7908, 555, 2106, 3144, 4108, 4558, 5436, 6786, 7870, 484, 1620, 2957, 4145, 5080, 6195, 7047, 7664, 171, 1752, 2516, 3169, 4681, 5853, 6486, 7500, 956, 1620, 3043, 4108, 4822, 6211, 6979, 8076, 914, 1945, 2947, 3886, 4713, 5832, 6996, 8076, 750, 1935, 2838, 3987, 5104, 5216, 7084, 8237, 1035, 1915, 2998, 3188, 4554, 6146, 6979, 7720, 650, 1700, 2688, 3240, 4181, 6087, 7132, 8078, 104, 1699, 3061, 3397, 4380, 5500, 6484, 7367, 839, 1828, 2736, 3748, 5164, 6073, 6224, 7659, 683, 1510, 2751, 3991, 4971, 5971, 6639, 7535, 545, 1636, 2606, 3298, 5000, 5538, 6828, 8086, 103, 1238, 3029, 3756, 4193, 5827, 6485, 8000, 1037, 1858, 2885, 3634, 4339, 6051, 6467, 7827, 308, 2063, 2946, 4011, 5165, 6205, 7152, 7557, 153, 1320, 2902, 3983, 4621, 5324, 7129, 7704, 489, 1477, 3006, 3631, 4867, 5245, 6923, 7478, 756, 2106, 2924, 4085, 4644, 5385, 6709, 8071, 752, 1234, 2401, 3580, 4521, 5250, 7095, 7602, 936, 1388, 2232, 3788, 5005, 5341, 6458, 7978, 876, 1821, 2506, 3436, 4364, 5444, 6959, 8163, 831, 1164, 2598, 3261, 5124, 6204, 7065, 7702, 914, 1139, 2383, 3190, 5020, 5320, 6486, 7749, 914, 1508, 2783, 4114, 4912, 5216, 6988, 7421, 153, 1139, 2424, 3566, 5085, 5474, 6884, 7826, 818, 1847, 3095, 3982, 5058, 5219, 7207, 8093, 105, 1668, 2659, 3726, 4630, 6061, 7239, 8100, 508, 2086, 3046, 3946, 4774, 5730, 6850, 7792, 707, 1810, 2639, 4168, 4402, 5905, 6579, 8225, 1094, 1572, 3147, 3557, 4411, 5905, 6605, 8078, 1071, 1251, 2373, 4027, 4611, 5509, 6535, 8152, 436, 1928, 2974, 3184, 4310, 5704, 6916, 7962, 1008, 1630, 2165, 3223, 4788, 5447, 7052, 7270, 1008, 1543, 2974, 3446, 4373, 6019, 6517, 8256, 1008, 1543, 2917, 3780, 4483, 5347, 6565, 7793, 1008, 2044, 2727, 3326, 4223, 5224, 6912, 7666, 547, 1439, 2712, 3214, 4216, 6176, 7220, 7422, 113, 1469, 2759, 3778, 4745, 5650, 6512, 8026, 1016, 1926, 2435, 4056, 5030, 5557, 6958, 8207, 938, 2050, 2712, 3699, 4805, 6128, 7063, 7947, 678, 2003, 2493, 3979, 4725, 5325, 6881, 8261, 980, 1620, 2899, 4033, 4512, 5403, 6579, 8064, 899, 1963, 3008, 3240, 4276, 6025, 6302, 7846, 518, 1600, 2904, 3530, 4923, 5607, 6272, 8211, 256, 1175, 2473, 4150, 4215, 6101, 6677, 7732, 256, 1752, 2473, 4150, 4344, 5730, 7052, 7744, 256, 2030, 3007, 4115, 4529, 5677, 7207, 7846, 256, 1608, 3000, 3201, 4387, 5767, 6755, 8185, 899, 2073, 2340, 4011, 4512, 5963, 6612, 7706, 555, 2097, 3110, 4006, 4822, 5811, 7120, 7715, 337, 1528, 2946, 4171, 5106, 6103, 7168, 7717, 160, 1723, 2880, 4145, 4856, 6025, 6889, 7706, 895, 1317, 2662, 3428, 4413, 6117, 6970, 8245, 738, 2059, 3106, 3219, 4589, 6187, 6780, 7412, 91, 1800, 2440, 3218, 4541, 5595, 6896, 7362, 815, 1557, 2564, 3259, 5178, 5899, 6719, 7476, 403, 1171, 2436, 3513, 4683, 5783, 6671, 7753, 617, 1139, 3000, 3889, 5138, 5775, 6443, 7976, 863, 2111, 2946, 3959, 4437, 6146, 6961, 8061, 980, 1623, 2918, 3795, 5183, 6129, 7166, 7379, 1037, 2111, 2210, 4006, 4179, 5657, 7232, 8061, 815, 1869, 2775, 3218, 5183, 5231, 6828, 7962, 113, 1455, 2918, 3759, 4861, 5267, 7075, 8076, 681, 1561, 2798, 4009, 4598, 5341, 6472, 7365, 1060, 1296, 2156, 4076, 4981, 5249, 6364, 8169, 154, 1557, 2661, 4007, 4982, 5496, 7102, 7813, 270, 1826, 2751, 4057, 4650, 5574, 6787, 7293, 736, 1828, 2610, 3685, 5031, 5463, 6897, 8216, 1063, 1893, 2486, 3727, 4187, 5810, 7241, 7286, 1081, 1893, 2998, 4041, 4595, 5221, 6840, 7674, 610, 1393, 2732, 3681, 4861, 5834, 6822, 7779, 940, 1845, 2998, 3908, 5092, 5598, 6613, 7584, 940, 1773, 2996, 3736, 5079, 5869, 7195, 7658, 955, 2056, 2732, 4067, 5075, 5687, 7012, 8076, 1097, 1467, 3064, 4041, 4792, 5942, 7010, 7485, 818, 1963, 2984, 4108, 5038, 6182, 7084, 8179, 935, 2000, 2164, 3990, 5159, 6131, 6776, 7876, 186, 1804, 3110, 4071, 4888, 6211, 6786, 8196, 935, 2017, 2914, 3990, 5129, 5883, 6709, 7949, 818, 1528, 2781, 3645, 4624, 5612, 6709, 8223, 1015, 1752, 2730, 3771, 4366, 5276, 6540, 7838, 142, 1648, 3117, 3825, 4704, 5219, 6996, 8147, 797, 2017, 3065, 3367, 4704, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7077, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3891, 4798, 6186, 7226, 8080, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 6794, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 41, 63, 17, 53, 5, 16, 5, 52, 11, 50, 44, 55, 5, 76, 45, 29, 5, 65, 48, 5, 44, 53, 48, 30, 47, 16, 66, 52, 47, 5, 66, 69, 51, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 915, 1648, 2164, 3825, 4798, 5635, 7077, 8223, 789, 2127, 3144, 3825, 4877, 5514, 7124, 7717, 901, 2106, 2469, 3364, 5120, 5534, 7018, 7264, 579, 1937, 2340, 3866, 5165, 6189, 6607, 7768, 1047, 2063, 3110, 4011, 4890, 6081, 6630, 7842, 937, 1318, 3089, 4061, 4713, 6156, 6583, 7807, 761, 1947, 2845, 4153, 4253, 5513, 6868, 7946, 262, 1284, 3118, 3847, 4757, 5841, 6935, 7870, 401, 2021, 2791, 3979, 4795, 6147, 7012, 8174, 216, 1705, 2946, 3314, 4954, 5761, 7221, 7908, 149, 1141, 2554, 3427, 5139, 6175, 7218, 7290, 716, 1550, 2573, 3734, 5098, 5765, 6865, 7718, 545, 1173, 2490, 3826, 4420, 6113, 7078, 8173, 1006, 2024, 2207, 3187, 5138, 5991, 7016, 7846, 975, 1907, 2894, 4138, 4543, 5426, 6772, 7875, 1024, 1348, 2894, 3770, 4266, 5592, 7021, 7927, 547, 1468, 2405, 3252, 4729, 5775, 6813, 7693, 1024, 1768, 2894, 3300, 4390, 6014, 7174, 8050, 981, 1440, 2407, 3293, 4550, 5970, 6224, 7887, 940, 1440, 2360, 3851, 5019, 5469, 6732, 7497, 1081, 1233, 3112, 3536, 5138, 5493, 7152, 7570, 756, 2000, 2860, 3595, 4542, 6131, 6625, 7846, 756, 2050, 2360, 4082, 5098, 5910, 6860, 7865, 1081, 1974, 2860, 3624, 4368, 5515, 6935, 7943, 575, 1675, 2858, 3254, 4642, 5305, 6603, 8174, 1101, 1183, 2863, 3420, 4396, 5287, 6755, 7617, 407, 2050, 2845, 4037, 5189, 5946, 7167, 7728, 763, 1294, 2995, 4086, 4946, 6145, 6383, 8221, 508, 1554, 3047, 3540, 4368, 5513, 6310, 7640, 508, 1827, 3040, 3299, 4604, 5598, 6618, 7725, 465, 1183, 2866, 3567, 4604, 5349, 6360, 7761, 1101, 1183, 2873, 3839, 4865, 6062, 6965, 8135, 884, 1503, 2674, 3690, 4357, 6002, 7128, 8262, 725, 1346, 2372, 3425, 4806, 6198, 7108, 7697, 759, 2126, 3026, 3596, 4321, 5879, 6935, 7259, 545, 1171, 2214, 3487, 4529, 6101, 6525, 7962, 663, 1171, 2527, 3307, 4509, 5589, 7091, 7920, 1056, 1244, 2578, 3904, 4589, 6018, 6809, 7881, 914, 1939, 3135, 4151, 4888, 6070, 7120, 8185, 356, 1945, 2866, 3776, 4762, 6175, 6614, 8132, 183, 1961, 2163, 4000, 5053, 5548, 6591, 7717, 225, 1269, 2287, 3224, 4638, 5590, 6827, 8130, 118, 1112, 2678, 3540, 4215, 5963, 6613, 7386, 103, 1797, 3133, 3987, 4215, 5586, 7207, 7715, 304, 1684, 2874, 3751, 4630, 6028, 6348, 7893, 678, 1411, 2924, 3602, 5139, 5220, 7224, 8269, 893, 1164, 2579, 3358, 4542, 5760, 6277, 7637, 150, 1635, 2872, 3219, 4953, 5378, 7229, 7570, 610, 1692, 3021, 3515, 4529, 6137, 7237, 7652, 1025, 1692, 3141, 3770, 4642, 5500, 7100, 8045, 545, 1914, 3091, 3695, 4415, 5730, 7243, 8132, 643, 2033, 2595, 3300, 5115, 5276, 7168, 8267, 504, 1773, 2661, 3282, 5098, 5954, 6540, 8049, 643, 1755, 2440, 3361, 4852, 5883, 6979, 7846, 504, 1858, 2807, 3848, 4536, 6085, 6772, 8205, 678, 1778, 3109, 3756, 4191, 6175, 7086, 7261, 678, 2102, 2899, 3732, 4419, 5413, 6302, 7865, 216, 2024, 2391, 3771, 4470, 6175, 6830, 8046, 401, 2066, 2669, 3361, 4556, 6205, 7149, 8195, 304, 1847, 2432, 3361, 5061, 5981, 7157, 7899, 678, 1782, 2860, 3361, 5088, 5844, 6588, 8245, 401, 1592, 3056, 3788, 4456, 5552, 7120, 7303, 390, 2068, 2900, 3945, 4533, 6025, 6830, 7718, 390, 2088, 3109, 3987, 4867, 5359, 7218, 8076, 1071, 2088, 2679, 3886, 4426, 5216, 7237, 8066, 750, 1120, 2586, 3537, 5060, 5968, 6776, 8076, 1035, 1915, 2363, 3769, 4668, 5968, 7192, 7591, 459, 1251, 2347, 3212, 4873, 5344, 7065, 7743, 802, 1458, 2130, 3560, 4219, 5344, 6519, 8254, 802, 1531, 2826, 3822, 4183, 5859, 6820, 7872, 761, 1510, 2826, 3452, 4875, 6054, 6497, 7311, 986, 1286, 2771, 3442, 4312, 5549, 6746, 8213, 617, 1782, 2352, 3392, 5135, 5608, 7100, 7918, 183, 1898, 2991, 3596, 4352, 5837, 6520, 7262, 256, 1623, 2970, 3225, 4630, 5727, 7103, 8188, 183, 1248, 2542, 3555, 4688, 6160, 6824, 7939, 183, 1248, 3128, 3555, 4954, 5378, 6579, 7806, 183, 1905, 2181, 3983, 4983, 5863, 7089, 7367, 118, 1286, 2542, 4005, 5157, 5276, 6443, 7715, 397, 1249, 2950, 3172, 4877, 5677, 6607, 7643, 617, 2106, 2432, 3966, 5166, 5296, 6256, 8209, 617, 1876, 2833, 3596, 4681, 5844, 7160, 7867, 617, 1876, 2970, 4096, 4298, 6182, 6338, 7303, 859, 2127, 3144, 3891, 4877, 5436, 7098, 7559, 105, 1147, 3065, 4006, 5157, 6163, 7103, 7336, 859, 1623, 3133, 3838, 4912, 5963, 6752, 7717, 859, 2127, 2560, 3407, 4398, 6117, 7120, 8080, 555, 1147, 2806, 4145, 5165, 6139, 6979, 7876, 555, 1147, 2164, 4145, 4624, 5963, 7120, 8260, 915, 1623, 2729, 3827, 4583, 5981, 6515, 7949, 488, 1528, 2914, 4145, 4624, 6139, 7226, 8196, 915, 1623, 3021, 3825, 4890, 6186, 6515, 7949, 915, 1528, 3021, 3893, 4870, 5534, 7077, 7717, 859, 2127, 3144, 4145, 4798, 5493, 6612, 7723, 183, 1758, 3143, 4015, 4638, 5936, 7129, 7717, 568, 1550, 2560, 4096, 4682, 5218, 7120, 8030, 118, 1597, 2717, 4125, 4863, 5584, 7160, 7808, 334, 1286, 2740, 3555, 4638, 5730, 6968, 7359, 118, 1112, 2340, 3879, 4921, 5298, 6607, 7838, 568, 2127, 2468, 4068, 5120, 5830, 6810, 7706, 118, 1958, 2860, 3363, 4863, 6184, 7232, 7948, 757, 1633, 2156, 3792, 4877, 5706, 7038, 8053, 105, 1961, 3021, 4124, 4916, 6175, 6607, 7732, 859, 1623, 3139, 4113, 5083, 5296, 6752, 7707, 512, 1623, 3065, 4174, 5058, 5981, 6972, 7723, 731, 2125, 3098, 3929, 4716, 6128, 7230, 7496, 160, 2008, 2542, 3679, 4421, 5678, 7207, 7877, 448, 1948, 2436, 3421, 5188, 5811, 6663, 7852, 448, 1915, 2946, 3329, 5138, 5891, 6828, 7887, 448, 1685, 2203, 3904, 4541, 6086, 6255, 8186, 516, 1905, 2716, 3416, 4927, 6051, 6734, 8209, 115, 1633, 2891, 3424, 5104, 6222, 6830, 8209, 459, 2102, 2271, 3304, 4716, 5993, 6925, 7555, 678, 1373, 2924, 3372, 4225, 5730, 6820, 7594, 424, 1463, 3098, 3973, 5020, 6007, 6651, 7941, 1025, 1685, 2868, 4067, 4365, 5886, 7205, 8188, 778, 1182, 2750, 3853, 4334, 5908, 7098, 8208, 1090, 1335, 2750, 3704, 4849, 5950, 6526, 7821, 424, 1663, 2429, 3842, 4374, 6181, 6918, 7641, 663, 1269, 2980, 3732, 5020, 5641, 6884, 7528, 831, 1858, 2924, 3188, 5073, 6181, 6564, 7878, 610, 1676, 2996, 3621, 4691, 5633, 6806, 7717, 1090, 1989, 2946, 3842, 4912, 5978, 6254, 7720, 826, 1773, 3075, 4162, 5143, 5413, 6242, 8025, 986, 1570, 2797, 3292, 5097, 5782, 6347, 7641, 545, 1620, 2136, 3576, 4321, 5980, 6761, 7383, 582, 1561, 3066, 3475, 4330, 6002, 7215, 8103, 582, 1906, 2678, 3268, 4435, 6002, 7154, 7480, 806, 1633, 2903, 3307, 4962, 5950, 6283, 8061, 807, 1700, 2271, 3855, 4308, 5339, 7229, 7687, 103, 2079, 3149, 3991, 4601, 5918, 6302, 7437, 308, 1930, 2432, 3602, 5151, 6085, 7239, 7673, 288, 1577, 2542, 3183, 5138, 5978, 6612, 8111, 453, 1458, 2492, 3801, 4398, 5565, 6850, 7687, 231, 1685, 2955, 3709, 4881, 6198, 7205, 8128, 955, 1117, 3033, 4137, 5026, 6028, 6812, 7430, 211, 2126, 2282, 3749, 4539, 5797, 7165, 8126, 663, 1623, 2542, 3271, 4774, 5590, 6550, 7405, 715, 1881, 2946, 3618, 4859, 5276, 6646, 7574, 715, 1269, 2597, 3917, 5159, 5485, 7152, 7618, 103, 1238, 3112, 3410, 5022, 6015, 6848, 8066, 545, 1280, 3129, 3709, 4929, 5325, 6809, 7684, 582, 2063, 2222, 3212, 4835, 5276, 6612, 7508, 887, 1164, 2720, 3475, 4266, 5588, 7059, 7627, 487, 2079, 2511, 3309, 4351, 6122, 6917, 8131, 708, 1881, 2160, 4151, 4870, 5344, 6735, 7311, 256, 1698, 3022, 3570, 5138, 6007, 6830, 8179, 1099, 1175, 3008, 3984, 4334, 6195, 6752, 7664, 510, 2000, 3021, 3990, 4877, 6007, 7058, 8016, 859, 1218, 3095, 3771, 4437, 5493, 7207, 8260, 489, 1752, 2740, 3480, 4760, 5966, 7129, 7721, 789, 1974, 2258, 3680, 4630, 5413, 6840, 7614, 571, 1919, 2340, 4166, 4512, 5705, 6979, 7563, 1035, 1509, 3064, 3162, 4849, 5614, 6938, 7774, 1035, 1596, 2905, 3819, 4318, 5765, 6505, 7827, 825, 1938, 2974, 3939, 5092, 6204, 6269, 7894, 986, 1570, 2708, 3601, 4530, 5872, 6684, 7592, 986, 1335, 2415, 3417, 4586, 6184, 6878, 7592, 545, 1831, 2422, 3855, 4934, 6002, 7183, 7878, 1090, 1561, 2282, 3478, 4665, 6002, 6574, 8238, 304, 1906, 2710, 3502, 5138, 5318, 7220, 8189, 956, 1945, 2989, 4114, 4925, 5963, 7218, 8126, 105, 1620, 2802, 3961, 4762, 5360, 6589, 7716, 914, 2000, 3022, 4166, 4619, 5832, 6254, 8267, 1099, 1945, 3008, 4145, 4681, 6129, 6677, 8147, 105, 1791, 2818, 3374, 4980, 6081, 7120, 7563, 334, 2114, 2886, 3420, 4801, 5830, 7241, 8083, 225, 1564, 2718, 4103, 5197, 6110, 6430, 7749, 617, 1684, 2858, 3555, 4387, 5749, 6776, 7887, 390, 1684, 2775, 3945, 4583, 5890, 7197, 7660, 955, 2111, 2936, 3528, 5079, 5840, 7230, 7838, 1035, 2001, 2564, 3975, 4513, 5500, 6588, 7398, 620, 1238, 2378, 3524, 5022, 5517, 6903, 7954, 1024, 1689, 2300, 3471, 4543, 6107, 7071, 7904, 1011, 1786, 2309, 3778, 4379, 6058, 6810, 7473, 961, 1939, 2732, 3759, 4338, 6114, 6415, 8240, 951, 1370, 2661, 3231, 5138, 5905, 6847, 7476, 779, 1913, 3007, 3932, 4822, 5210, 6734, 7677, 818, 1845, 3110, 3932, 4586, 6103, 6589, 7876, 186, 2073, 3007, 3932, 4782, 5901, 6988, 8237, 914, 1750, 3006, 4018, 4630, 5968, 7149, 8267, 935, 2000, 2960, 3440, 4583, 5534, 6979, 8066, 818, 1998, 3007, 4085, 5061, 6139, 6752, 8260, 175, 1198, 3042, 3723, 4720, 6122, 6819, 7644, 967, 1752, 3095, 3662, 4844, 6025, 6515, 7349, 555, 1147, 3062, 4006, 4630, 6163, 6752, 8164, 555, 1684, 3006, 3914, 4549, 5963, 7006, 7876, 488, 2111, 3117, 3827, 4888, 5534, 7124, 7766, 142, 1622, 2806, 3825, 4704, 6081, 7226, 8196, 488, 1622, 2914, 3893, 4624, 6139, 7077, 8080, 488, 2017, 3065, 3825, 4624, 5635, 7226, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1622, 3065, 3893, 4798, 6139, 6752, 8196, 915, 2017, 3021, 3893, 4798, 6186, 6794, 8196, 555, 1147, 2970, 3893, 5159, 6182, 7077, 7664, 555, 1468, 3021, 4153, 4870, 5901, 7207, 8261, 555, 1468, 2833, 4153, 4622, 6081, 6584, 8083, 555, 1648, 2970, 3391, 4681, 5514, 7077, 8223, 555, 1876, 2833, 4168, 4681, 5514, 6584, 7732, 555, 1648, 3021, 3891, 4387, 5811, 6612, 8147, 4, 2 ]

[ 1, 14, 78, 5, 26, 5, 43, 14, 75, 5, 64, 66, 39, 66, 16, 30, 5, 16, 28, 17, 75, 5, 5, 3, 142, 2017, 2914, 3893, 4704, 6211, 6752, 8147, 488, 1648, 2914, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 915, 1705, 3043, 3367, 4798, 5241, 6794, 7949, 308, 1265, 3098, 3413, 5083, 5694, 6996, 7876, 731, 1340, 2156, 3316, 4912, 5651, 6504, 8092, 715, 1171, 2712, 3943, 5024, 5898, 6484, 7831, 654, 1186, 2420, 3824, 5157, 5995, 6597, 7397, 195, 1540, 3062, 3891, 4898, 5218, 7157, 7669, 195, 2111, 3062, 3933, 4586, 5997, 6348, 7458, 518, 1756, 3053, 3536, 5193, 5543, 6529, 7865, 211, 1519, 2946, 3227, 4186, 5865, 6614, 7582, 650, 1424, 3008, 4006, 4329, 5610, 6832, 7291, 1052, 1424, 2999, 3695, 4304, 5216, 7163, 7807, 319, 1737, 3083, 4125, 4440, 5341, 7241, 7652, 320, 1496, 2647, 3424, 4609, 5699, 7014, 7305, 1084, 2065, 2824, 3570, 5137, 6019, 6656, 7424, 1091, 1669, 2438, 3413, 4949, 5749, 6503, 7311, 403, 1184, 2313, 3776, 5016, 5462, 6929, 7277, 103, 1179, 2151, 3413, 4444, 6220, 6670, 7563, 951, 1561, 2984, 3578, 4389, 5978, 6458, 7962, 951, 1116, 2165, 3212, 4748, 6001, 6540, 8070, 390, 1118, 2232, 3413, 5088, 5474, 6588, 7899, 401, 1561, 2586, 3480, 4509, 5761, 6382, 7546, 955, 1930, 2925, 3413, 4985, 5480, 6514, 7720, 211, 1992, 2593, 3900, 5104, 5651, 6540, 7962, 804, 1455, 2936, 3645, 4713, 5385, 6589, 7421, 543, 1705, 2729, 4135, 4844, 6058, 6677, 7421, 878, 1971, 2598, 3949, 4952, 5883, 6589, 7753, 183, 2065, 2898, 3904, 4318, 5482, 7041, 7750, 568, 1440, 3026, 3746, 4420, 6001, 6671, 7915, 228, 1490, 2468, 3391, 4555, 5385, 6604, 8261, 225, 2088, 2775, 3487, 4512, 5723, 7006, 7485, 228, 2111, 2469, 4166, 4555, 5963, 7181, 7732, 228, 2111, 2880, 4083, 4555, 5635, 7098, 7715, 228, 1851, 2593, 4166, 5088, 5218, 7100, 7707, 228, 1424, 2659, 3394, 4622, 5963, 6529, 7260, 419, 1923, 2858, 4145, 4329, 5901, 6909, 8126, 419, 2017, 2914, 3407, 5060, 6186, 6889, 7485, 915, 1622, 3065, 3803, 4704, 5677, 7226, 8237, 419, 1648, 3065, 3825, 4798, 6186, 6589, 8080, 789, 1945, 2466, 3723, 4551, 5223, 7077, 7421, 166, 1570, 2787, 3237, 4273, 5610, 7112, 7454, 448, 1118, 2187, 3374, 4848, 6002, 6256, 7536, 103, 1527, 2872, 3170, 4345, 5447, 7003, 7664, 103, 1621, 2669, 4025, 4364, 5294, 6562, 8028, 103, 2036, 2601, 4153, 5127, 5810, 6301, 8214, 1090, 1905, 2593, 3304, 4259, 5527, 6894, 7452, 424, 2095, 3112, 4096, 4338, 6149, 6284, 7750, 951, 1186, 2652, 3961, 4364, 5809, 6671, 7804, 308, 1640, 2797, 3370, 5160, 5550, 6871, 8236, 288, 1660, 2989, 4068, 4586, 5438, 6830, 7865, 390, 1700, 3144, 4145, 4586, 5821, 6972, 7919, 1090, 1186, 2587, 4149, 4985, 5918, 6579, 8046, 955, 1732, 2979, 3533, 5080, 5733, 7132, 8016, 1056, 1918, 2865, 3931, 4551, 6119, 7201, 8040, 356, 1821, 2661, 3421, 4743, 5918, 6967, 8188, 1056, 1797, 2839, 3945, 4912, 6163, 7152, 7831, 804, 2000, 3110, 3671, 4870, 6195, 6677, 7421, 512, 1623, 3006, 3917, 5139, 5942, 7207, 8267, 308, 2046, 2989, 3945, 4387, 5832, 6677, 7664, 211, 1620, 2503, 3908, 5160, 5436, 6715, 8236, 678, 2036, 2677, 3671, 5007, 6119, 6584, 8164, 955, 1956, 2457, 4037, 4523, 5318, 7079, 7355, 643, 1755, 2724, 4064, 5075, 5513, 6470, 8061, 390, 1393, 2959, 3610, 5104, 5899, 7207, 8061, 804, 1700, 3008, 3671, 4867, 5612, 7207, 8076, 804, 1945, 3008, 3540, 4980, 5612, 7226, 8179, 1097, 2046, 2838, 4166, 4980, 5705, 6709, 8260, 1099, 2017, 3007, 3710, 4822, 6129, 7201, 8179, 1097, 2068, 3095, 3990, 4630, 5832, 7201, 8196, 1097, 1847, 2895, 4114, 4822, 5832, 7084, 8185, 756, 1320, 2520, 3662, 5129, 5911, 7010, 8182, 401, 1523, 3150, 3188, 5061, 6063, 6540, 8083, 1001, 1318, 3149, 3962, 4485, 5636, 6689, 7536, 614, 1898, 2785, 3283, 4287, 5918, 6677, 7284, 952, 1415, 3070, 3374, 4955, 5792, 6304, 8117, 1011, 1233, 2677, 3536, 4883, 5276, 7241, 8266, 373, 1110, 2345, 3910, 4476, 5423, 6311, 7303, 940, 2073, 2642, 3660, 4713, 5424, 7157, 7535, 1094, 1275, 3049, 3645, 5031, 6030, 6888, 7822, 1011, 1426, 2845, 3162, 5169, 5584, 7142, 7716, 678, 1426, 3133, 4140, 4573, 5550, 6701, 7672, 678, 2073, 2345, 4091, 4923, 5658, 6403, 7636, 678, 1199, 2971, 4017, 4900, 6170, 6485, 8213, 1051, 1849, 3092, 3777, 5129, 5742, 6840, 7764, 940, 1275, 3092, 3440, 4867, 5548, 6755, 7735, 510, 1847, 2947, 3866, 4359, 5534, 6630, 8237, 804, 1886, 2980, 4067, 4622, 5534, 7207, 8267, 308, 2046, 3007, 3540, 4630, 6081, 6709, 7720, 684, 1750, 3007, 3983, 5115, 6051, 7207, 8107, 419, 1945, 2858, 4108, 5061, 6182, 7168, 7723, 105, 1851, 2947, 3932, 5083, 5705, 7006, 7485, 105, 2127, 2659, 4113, 4583, 5219, 6612, 7715, 555, 2111, 2803, 3994, 4622, 6120, 6884, 7806, 945, 1528, 2806, 4071, 4583, 6081, 7124, 8196, 860, 1528, 2806, 3825, 4704, 6139, 7124, 7766, 201, 1528, 2164, 3825, 4624, 6139, 7124, 8147, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 2111, 3065, 3893, 4798, 5635, 7120, 8223, 915, 2111, 2164, 3825, 4798, 5635, 6794, 8223, 555, 2111, 2970, 3595, 4890, 5811, 7124, 8196, 555, 2111, 2164, 4166, 4583, 5550, 7077, 7865, 555, 2111, 2914, 3595, 5134, 5678, 6752, 7643, 555, 2111, 2164, 4166, 4624, 5550, 7207, 7865, 555, 1974, 2918, 3680, 4798, 6139, 7129, 8093, 555, 2111, 3021, 4166, 5166, 6163, 7226, 8080, 915, 2017, 2833, 3893, 4622, 5550, 6996, 8237, 555, 2017, 2164, 3374, 4622, 5677, 7090, 7485, 915, 2017, 2914, 3374, 5088, 5241, 7152, 8196, 555, 2111, 3064, 3893, 4798, 6182, 7077, 8080, 915, 1876, 2806, 3825, 4512, 5635, 6584, 7485, 915, 2111, 3021, 4071, 4798, 5635, 6794, 8080, 4, 2 ]

[ 1, 26, 5, 64, 14, 66, 5, 16, 54, 30, 5, 28, 63, 73, 30, 44, 30, 5, 57, 75, 35, 5, 31, 16, 5, 62, 14, 64, 66, 5, 5, 3, 945, 1528, 3065, 4068, 4888, 6186, 6794, 8147, 142, 1622, 2914, 3825, 4624, 6186, 7226, 8147, 488, 2073, 2914, 3893, 4624, 6081, 6688, 8076, 484, 1974, 2340, 4171, 4798, 6081, 6604, 8093, 617, 2065, 2488, 3413, 5060, 5550, 6909, 7715, 489, 1496, 2293, 3518, 4513, 5802, 6648, 7973, 676, 1424, 2380, 3775, 4614, 5259, 7177, 8024, 653, 1411, 2464, 3519, 4999, 6157, 6282, 8100, 335, 1905, 2839, 3469, 4954, 5294, 6977, 7845, 722, 1905, 2886, 3957, 5026, 6168, 6757, 7941, 304, 1905, 3007, 3933, 4809, 6031, 6830, 7592, 568, 1782, 2988, 4097, 4836, 5276, 6755, 8183, 334, 1649, 3141, 4153, 4344, 5378, 6810, 7402, 699, 1597, 2262, 4005, 4592, 6107, 6764, 8202, 654, 1853, 2880, 3517, 4338, 5678, 6668, 7664, 654, 1564, 2156, 4005, 4387, 5493, 7024, 7557, 240, 1304, 2839, 4113, 4644, 5550, 6709, 7715, 518, 1851, 2833, 3555, 5138, 5550, 7239, 7262, 518, 2000, 3028, 3595, 5159, 6137, 6889, 7976, 518, 1218, 2181, 3595, 5159, 5550, 6671, 8267, 127, 1345, 3062, 3595, 5124, 6057, 6256, 7715, 518, 2078, 3108, 3933, 4622, 5296, 6859, 7768, 967, 1218, 2316, 4161, 5007, 6149, 6852, 7732, 937, 1332, 2372, 4153, 4513, 5835, 6234, 7333, 640, 1696, 2856, 3318, 4328, 5889, 7202, 8000, 511, 1135, 2546, 4003, 4999, 5821, 6856, 7385, 611, 1664, 2612, 3341, 4982, 6146, 7167, 7742, 942, 1933, 2643, 4137, 4791, 5755, 6711, 8143, 223, 1332, 3097, 3390, 4773, 5658, 7157, 7671, 942, 1974, 2316, 3530, 4598, 5370, 6667, 7712, 405, 1974, 2807, 4133, 4287, 6163, 7134, 7485, 308, 1705, 2239, 3595, 4530, 5565, 7207, 7673, 959, 1756, 2487, 3384, 4912, 5550, 7019, 7810, 448, 1807, 2222, 3720, 4670, 6031, 7004, 7957, 1062, 1446, 2721, 3929, 4255, 5366, 6961, 7349, 611, 2024, 2361, 3341, 4191, 5290, 7198, 8146, 868, 1268, 2921, 3623, 4429, 6183, 6334, 7902, 1080, 1794, 2355, 3767, 4606, 5594, 7126, 7873, 1029, 1773, 2721, 3456, 4510, 6187, 6578, 8073, 401, 1721, 2591, 4171, 4334, 5413, 7037, 7423, 401, 1280, 2989, 3811, 5166, 6084, 6251, 8260, 610, 1499, 2369, 3955, 4849, 5588, 7168, 7336, 610, 1797, 3098, 3732, 5165, 6000, 6669, 8126, 610, 1797, 3064, 3732, 5166, 6014, 7207, 8016, 610, 1676, 2991, 4011, 4822, 6146, 7201, 7806, 1056, 2125, 2943, 3710, 5061, 6211, 6996, 7766, 308, 1791, 2957, 3945, 5080, 6103, 6809, 7895, 804, 1218, 2991, 3226, 5038, 6123, 7077, 7908, 308, 1508, 3008, 3540, 4782, 6182, 7006, 7949, 684, 1508, 2947, 4114, 4782, 5832, 6988, 8179, 1031, 1499, 2886, 4064, 4720, 6119, 7140, 7484, 844, 1458, 2316, 4064, 4310, 5440, 7194, 7397, 319, 1924, 2234, 3442, 4641, 5485, 6264, 8128, 826, 1141, 2793, 3502, 5196, 5443, 6564, 7979, 1029, 1865, 2874, 3748, 4672, 5663, 6626, 7497, 386, 1682, 2876, 3605, 4337, 5548, 6308, 7971, 150, 1740, 3000, 3579, 4761, 5557, 6910, 8225, 1025, 1855, 2373, 3475, 4935, 5536, 6538, 8096, 1029, 1655, 2361, 3580, 4727, 5880, 6583, 7823, 104, 1167, 2309, 3430, 5110, 5699, 6954, 8149, 536, 1141, 2506, 3540, 4693, 6015, 6710, 7466, 887, 1252, 2503, 4154, 4836, 5512, 6899, 8169, 959, 1794, 2559, 3732, 4782, 5767, 6938, 8242, 833, 2000, 2151, 3870, 5058, 6129, 7152, 7908, 857, 1455, 3075, 3487, 4198, 5981, 7098, 7676, 757, 1540, 2941, 3190, 4630, 6051, 7095, 7707, 757, 2033, 2548, 3550, 5124, 5555, 7152, 8015, 541, 2008, 2718, 4074, 4949, 5516, 6740, 7750, 942, 1834, 2918, 3515, 4226, 5844, 6347, 8054, 223, 1566, 2918, 3277, 4470, 5294, 7201, 7367, 1062, 1562, 2151, 3732, 4435, 5605, 7024, 7674, 1033, 1794, 2454, 4095, 4444, 5296, 6751, 8250, 691, 1586, 2520, 3709, 4470, 5386, 6434, 7429, 103, 1773, 2498, 3358, 4611, 5706, 7079, 7248, 952, 1906, 2988, 3253, 5079, 5761, 6592, 7934, 103, 1978, 2253, 3900, 5019, 5998, 6566, 7944, 639, 1350, 2401, 3424, 4434, 5810, 6251, 7691, 1067, 1826, 2129, 4162, 5004, 5588, 6746, 8194, 993, 1189, 2429, 4021, 4321, 5384, 6825, 8266, 1067, 2059, 2667, 3398, 4687, 5325, 6375, 8000, 1067, 1199, 2736, 4036, 5185, 6034, 7035, 7466, 1025, 1894, 2748, 3960, 5029, 5874, 6307, 8152, 1025, 1503, 3107, 3964, 4469, 5764, 6626, 7525, 610, 1457, 2129, 4098, 5158, 5711, 6581, 8163, 424, 1388, 2709, 3394, 4197, 6212, 6811, 8171, 1090, 1803, 2469, 3827, 5165, 5565, 6967, 7898, 756, 2030, 3008, 3195, 4955, 5590, 6604, 8117, 489, 1649, 2381, 3407, 4344, 5276, 6811, 7706, 886, 1770, 2360, 4102, 4344, 6155, 6578, 8174, 895, 1871, 2258, 3562, 4617, 5425, 7010, 8075, 150, 1531, 2690, 3777, 4683, 5657, 6267, 7639, 211, 2073, 2137, 3653, 4709, 5503, 6761, 7613, 211, 2060, 2847, 3212, 4470, 6182, 7232, 7508, 440, 1403, 3150, 3440, 5175, 6180, 6550, 8164, 901, 1324, 3092, 3231, 5125, 5408, 7118, 7664, 759, 1635, 3092, 3393, 4881, 5359, 7232, 7852, 318, 1294, 2869, 3573, 4506, 5908, 6583, 7312, 363, 1503, 2726, 3978, 5182, 5784, 7189, 7973, 942, 1199, 3145, 3826, 4326, 5491, 6918, 7748, 956, 1913, 2556, 3932, 4998, 5294, 6980, 8002, 488, 2046, 2838, 3932, 5129, 5761, 6786, 7948, 488, 1528, 2996, 3932, 4287, 5883, 7006, 7806, 818, 1998, 2746, 3516, 4822, 6129, 7239, 7806, 818, 1528, 2806, 3226, 4624, 6139, 6979, 8260, 935, 1622, 2991, 3866, 4782, 5635, 7077, 7485, 935, 1622, 2991, 3886, 4980, 5635, 7006, 8237, 935, 2017, 3135, 4171, 5080, 6186, 6752, 7723, 143, 2097, 2903, 3445, 5120, 6024, 6595, 8066, 707, 1752, 2944, 3318, 4326, 5690, 7012, 7605, 579, 1499, 3091, 4131, 4860, 5858, 7199, 7470, 893, 1503, 3015, 3824, 4291, 6113, 6255, 8178, 893, 2045, 3132, 3770, 4330, 5846, 6651, 7635, 536, 1940, 2221, 3856, 4623, 5627, 7085, 7889, 536, 2118, 2869, 3288, 4351, 5512, 7107, 7426, 952, 1139, 3023, 3552, 5135, 6123, 6651, 7279, 923, 2118, 2869, 3307, 4404, 5657, 6876, 8017, 691, 1457, 2221, 3714, 4570, 5645, 7060, 7495, 572, 1907, 2869, 3332, 4290, 5540, 7241, 8149, 620, 1575, 2580, 3394, 4851, 5858, 7158, 7737, 242, 1653, 2221, 3525, 4279, 5569, 6763, 7477, 242, 1527, 2346, 3577, 4293, 6184, 6569, 7634, 707, 1681, 2355, 3865, 4257, 5503, 6533, 7954, 662, 1108, 2373, 3371, 4604, 5514, 6969, 8058, 410, 1349, 2981, 3485, 4364, 6003, 7002, 8188, 1084, 2114, 3032, 3864, 4501, 5325, 6691, 8137, 878, 1146, 2775, 4150, 4289, 6002, 6890, 7547, 568, 2127, 2221, 3424, 4458, 6149, 6512, 8245, 334, 1597, 2339, 3234, 4890, 5716, 7014, 7279, 195, 2002, 2469, 3236, 4836, 5248, 6898, 8245, 654, 2106, 2833, 3320, 4303, 5385, 7078, 7248, 518, 2127, 2959, 3574, 4512, 5677, 6515, 8261, 228, 1853, 2345, 3394, 4644, 5385, 6515, 8126, 789, 2127, 2806, 3374, 5138, 5438, 6607, 7485, 789, 1750, 2781, 3595, 4551, 5548, 6515, 8076, 915, 1622, 2806, 4174, 4877, 5514, 6604, 7831, 256, 1750, 2669, 4026, 4512, 5241, 6889, 7485, 195, 1961, 2970, 3645, 5124, 6110, 6737, 7311, 195, 1623, 2316, 3605, 4423, 5515, 6986, 8078, 4, 2 ]

[ 1, 16, 54, 30, 5, 31, 16, 5, 28, 33, 30, 5, 77, 73, 75, 5, 66, 17, 53, 28, 16, 52, 30, 5, 53, 39, 30, 5, 76, 45, 31, 5, 16, 5, 29, 45, 63, 41, 16, 52, 5, 16, 54, 30, 5, 51, 16, 54, 64, 45, 30, 35, 16, 66, 5, 16, 66, 33, 54, 65, 16, 54, 5, 5, 3, 105, 1372, 2340, 3391, 5075, 5276, 6752, 8236, 617, 2127, 3021, 3547, 5079, 5767, 7100, 7706, 105, 2106, 2941, 3827, 4700, 5981, 6615, 8164, 859, 1345, 2941, 4174, 5160, 5385, 6605, 7643, 967, 2106, 2970, 3931, 4890, 5223, 7058, 8236, 186, 2032, 2833, 4174, 4387, 5767, 7120, 8076, 488, 1945, 2806, 4174, 5060, 5832, 7152, 8083, 424, 2063, 2839, 4098, 4533, 5416, 6259, 7420, 511, 1984, 2692, 3158, 4391, 5778, 6889, 7629, 886, 1686, 2856, 3332, 4543, 5540, 6563, 7333, 632, 1938, 2559, 3270, 4893, 5792, 6666, 8058, 271, 2066, 3137, 3601, 4973, 5787, 6521, 7838, 223, 1407, 2726, 4120, 4690, 6119, 7025, 8248, 1033, 1402, 2429, 3932, 4343, 5804, 6426, 7535, 504, 1797, 2282, 3540, 5017, 6181, 6234, 7862, 223, 1763, 2142, 3250, 4930, 5575, 6687, 7965, 955, 1562, 2163, 3692, 5169, 5413, 7017, 8040, 1056, 1563, 2924, 3355, 4365, 5883, 6393, 7811, 923, 1820, 2139, 3922, 5116, 5677, 6272, 7919, 1080, 1171, 2163, 3924, 4205, 5362, 7234, 7350, 381, 1826, 3085, 3193, 4356, 5787, 6359, 7900, 1047, 1273, 2842, 3273, 4467, 5730, 6606, 7263, 914, 1797, 2397, 3537, 4845, 5684, 6239, 8080, 684, 1494, 2868, 4171, 5143, 5678, 6979, 7682, 684, 1620, 2783, 3188, 5129, 5968, 6786, 7723, 684, 1998, 3038, 3188, 5104, 6014, 6809, 7723, 684, 1998, 3128, 3891, 4592, 5840, 7098, 7806, 684, 1773, 3144, 3188, 5058, 5385, 7239, 7948, 868, 1910, 2519, 3271, 4285, 5664, 6734, 8266, 668, 1510, 2247, 3704, 4896, 5400, 7052, 8240, 1019, 2118, 2633, 3395, 4455, 5624, 6414, 8156, 862, 1281, 3011, 3304, 4278, 5350, 6567, 7560, 668, 1916, 2761, 3425, 5051, 5713, 7198, 7873, 1036, 1550, 2761, 3676, 4842, 6149, 6242, 7350, 692, 1695, 3063, 3172, 4511, 6221, 6878, 7951, 356, 1363, 3043, 3206, 4859, 5550, 7162, 7810, 684, 1804, 2925, 4166, 4184, 5459, 6525, 7870, 308, 1147, 2924, 3819, 4387, 5767, 6972, 7717, 308, 2000, 2432, 3945, 4512, 5904, 7058, 7664, 955, 1608, 2803, 3908, 4681, 5216, 6709, 7879, 356, 2036, 3006, 3578, 4589, 5565, 7150, 7652, 613, 1289, 2941, 3886, 4615, 5810, 7230, 8261, 1059, 1692, 2242, 3540, 4364, 5223, 7010, 8205, 448, 1357, 2607, 3239, 4400, 6107, 6432, 7556, 868, 1834, 2595, 3254, 4259, 5844, 6601, 7952, 448, 1951, 2855, 3756, 4664, 5324, 6763, 8084, 613, 1268, 2867, 4074, 4985, 5788, 7079, 7559, 981, 1171, 2436, 4047, 4565, 6142, 6419, 7250, 643, 1509, 2491, 3376, 4925, 6191, 6889, 8178, 288, 1206, 3150, 3732, 4458, 5534, 6382, 7547, 899, 1791, 2783, 3518, 5187, 6000, 6663, 7537, 256, 1388, 2960, 4151, 4398, 5631, 6909, 7707, 256, 1847, 2970, 4073, 4205, 5935, 6615, 7887, 256, 1108, 2775, 3932, 5135, 5308, 7007, 7476, 945, 1528, 2806, 3914, 4980, 6081, 6988, 8147, 818, 1705, 3128, 4114, 4798, 5635, 6996, 8267, 956, 1869, 2960, 3710, 4888, 5635, 7084, 8147, 1099, 1705, 2838, 3516, 5058, 6186, 6786, 8147, 143, 1345, 2970, 3776, 4224, 5340, 6749, 8111, 276, 1332, 2802, 3566, 4844, 5216, 7230, 7820, 617, 1468, 2328, 3277, 4844, 5678, 6412, 8126, 767, 1459, 3147, 4114, 4611, 5606, 6716, 7536, 360, 1490, 3055, 3688, 4920, 5280, 6909, 7405, 249, 1490, 2887, 3585, 4507, 6118, 6779, 7970, 386, 1490, 2876, 3386, 4467, 5711, 7060, 7515, 1080, 1897, 2888, 3701, 4299, 5833, 6566, 7478, 940, 1296, 3101, 4147, 4626, 5866, 6787, 7371, 731, 1141, 3123, 4168, 5159, 5797, 6333, 8112, 223, 1280, 2740, 4102, 4592, 5702, 6574, 8132, 1033, 1562, 3128, 3866, 5084, 6114, 6736, 8267, 401, 1797, 2167, 4114, 4512, 5713, 7095, 7948, 304, 1562, 2679, 3982, 4589, 5702, 7132, 8126, 684, 1812, 2807, 3710, 5060, 5901, 6930, 7957, 304, 1534, 3135, 3886, 4554, 5705, 6809, 7723, 1102, 1407, 2858, 3302, 4762, 5528, 6787, 8218, 363, 1469, 3015, 3878, 4814, 5311, 7141, 7924, 271, 2066, 2571, 3777, 4994, 5716, 6224, 8033, 266, 1503, 2562, 3288, 4910, 5533, 7022, 7623, 504, 1129, 2518, 3176, 4588, 5858, 6343, 8149, 386, 1440, 2690, 4105, 4755, 5746, 7234, 7873, 643, 1974, 3085, 3420, 4221, 6052, 7219, 7764, 1081, 1974, 2842, 4128, 4667, 5380, 6918, 7458, 405, 2000, 2541, 3777, 4717, 5865, 6586, 7787, 804, 1682, 2151, 4153, 4782, 5850, 7100, 7260, 804, 2079, 3144, 3826, 5060, 6129, 7218, 8076, 804, 1675, 2895, 4166, 4630, 6175, 6688, 8054, 308, 1218, 2998, 3516, 4912, 6085, 6988, 8076, 424, 2024, 2924, 4114, 4890, 6085, 6646, 8237, 663, 1577, 3144, 3776, 5165, 6007, 6566, 7948, 408, 1227, 2708, 4065, 5061, 6070, 6980, 7494, 104, 1915, 2975, 4096, 5183, 5210, 7111, 7519, 1025, 1850, 2868, 4006, 4387, 5216, 6965, 8036, 1025, 1850, 3080, 4114, 4536, 5430, 6668, 7378, 643, 1850, 2543, 3901, 4458, 6120, 6884, 8209, 643, 1808, 2552, 3540, 4852, 6077, 6412, 8093, 465, 1672, 2946, 4026, 4782, 5318, 7219, 7740, 139, 1630, 2625, 3309, 5097, 5648, 6470, 7533, 884, 1695, 2659, 3421, 4218, 5729, 7200, 8226, 807, 2000, 2725, 3329, 4351, 5745, 7010, 8019, 807, 1635, 3116, 3623, 4474, 5734, 6684, 7337, 465, 1397, 3061, 3623, 4539, 5778, 6710, 8097, 487, 1581, 2154, 3394, 4604, 5200, 6386, 7748, 487, 1581, 3029, 3396, 4546, 6154, 6998, 7527, 487, 1233, 2348, 3394, 4604, 6154, 7241, 7563, 487, 1581, 2697, 3573, 4604, 6154, 6466, 7931, 487, 1581, 2697, 3573, 4351, 5968, 6606, 7476, 986, 1692, 3029, 3770, 4952, 5863, 7148, 8266, 986, 1550, 2797, 4151, 4298, 6194, 6293, 7800, 807, 1550, 3116, 3232, 4298, 5783, 6270, 7937, 807, 1621, 3091, 3894, 4298, 5810, 6442, 8268, 545, 2009, 3091, 4067, 4576, 5615, 6751, 7875, 582, 1485, 2426, 3623, 5001, 5584, 6567, 7966, 487, 1797, 2751, 3623, 4678, 5325, 7025, 7627, 487, 1797, 2751, 3623, 5026, 5954, 7059, 8189, 356, 2046, 2659, 3904, 5110, 6179, 6244, 7973, 308, 1816, 3053, 4114, 4859, 5797, 6604, 7918, 288, 1238, 3110, 3516, 4592, 6014, 7069, 8179, 811, 1320, 2659, 3394, 5125, 5365, 7149, 8126, 936, 1938, 2725, 3300, 4307, 6164, 6478, 7932, 664, 1185, 2401, 3623, 4321, 5427, 6281, 7930, 1001, 1489, 2239, 3421, 5151, 5950, 6998, 8266, 308, 1620, 2970, 3660, 4801, 5719, 6584, 7627, 956, 1963, 3095, 3516, 4713, 5436, 6810, 8185, 818, 2000, 2947, 3710, 4870, 6137, 7120, 7641, 956, 1874, 2880, 3982, 4980, 5630, 6972, 7631, 510, 1175, 2833, 4114, 5165, 5968, 7120, 8267, 859, 1974, 2833, 3886, 5104, 5678, 6972, 8179, 617, 1175, 2833, 4026, 4512, 6195, 6338, 7816, 617, 1695, 2803, 3407, 4533, 5219, 7188, 8126, 105, 2002, 2941, 3771, 5159, 5677, 6752, 7838, 617, 2127, 2554, 3217, 4870, 5767, 6677, 8061, 105, 1372, 2833, 3648, 5159, 5515, 7084, 8164, 617, 1750, 2833, 3879, 4555, 5385, 7024, 8061, 859, 2127, 2554, 4071, 4870, 5296, 6810, 7716, 105, 2106, 2833, 3391, 4398, 6149, 6589, 7706, 552, 2127, 2554, 3914, 4912, 6205, 6677, 7485, 552, 1750, 2340, 3873, 4512, 6129, 7090, 8185, 484, 2088, 3144, 3803, 4398, 5534, 6996, 8066, 186, 1833, 2781, 3803, 4554, 5834, 6988, 7290, 201, 2032, 3065, 3825, 4704, 6139, 7077, 8237, 488, 1622, 2949, 3893, 4624, 5901, 7084, 8237, 488, 1622, 3065, 3990, 4624, 5635, 6979, 8196, 211, 1804, 2880, 4108, 4849, 6123, 7201, 7723, 1033, 1402, 3108, 3868, 4697, 6154, 6512, 8041, 443, 1490, 2727, 3356, 4702, 5512, 6308, 7638, 1019, 1509, 3101, 3356, 4702, 5603, 6348, 7889, 955, 1889, 2868, 3828, 4495, 5230, 6838, 7349, 288, 1649, 3042, 4064, 4458, 5540, 6773, 7735, 440, 1700, 2678, 3376, 4844, 5937, 6348, 7419, 500, 1797, 3147, 4097, 4836, 5899, 6771, 8101, 440, 1682, 3124, 3822, 5193, 6110, 6348, 7275, 504, 1513, 2677, 3376, 4191, 6175, 6929, 8260, 840, 1283, 2455, 4102, 4326, 6193, 6813, 7625, 884, 1164, 2953, 3616, 5023, 6069, 7223, 7932, 103, 2048, 2487, 3668, 4562, 5422, 7126, 7442, 915, 1998, 2809, 3931, 5134, 5824, 6967, 7717, 789, 1797, 2151, 3374, 4852, 5527, 7220, 8179, 818, 1847, 2949, 3866, 4398, 5241, 6677, 8147, 105, 2017, 2941, 4026, 4918, 6175, 6677, 8260, 568, 1706, 2740, 4124, 5053, 5892, 7103, 8239, 568, 1706, 2740, 4026, 4184, 5892, 7014, 7587, 568, 1706, 2454, 3352, 4727, 5767, 7024, 7865, 334, 1286, 3147, 4120, 4351, 5942, 7182, 7264, 568, 1958, 2287, 3407, 4764, 5767, 7035, 7476, 757, 1264, 2278, 3662, 4512, 5765, 6840, 8076, 1056, 1400, 2944, 4111, 4329, 5767, 6256, 8267, 223, 2102, 2556, 3704, 5183, 5530, 6876, 7811, 868, 1834, 2595, 3819, 5079, 5802, 6538, 7618, 1080, 1561, 2728, 3936, 5023, 5984, 6302, 7643, 1080, 1411, 2487, 3243, 4627, 5699, 6624, 7675, 725, 2102, 2987, 3900, 4983, 5873, 7222, 7451, 1029, 1510, 2548, 3179, 4670, 6169, 6402, 8111, 840, 1141, 2251, 3710, 4533, 5653, 6840, 7616, 271, 1865, 2564, 4150, 5139, 6220, 6348, 7875, 373, 1682, 2655, 4017, 4191, 5821, 6884, 7513, 256, 1370, 3095, 3987, 4447, 5224, 7168, 7582, 789, 1525, 2669, 3776, 4529, 5630, 6668, 8209, 256, 2030, 2542, 3550, 4551, 5981, 6612, 7776, 256, 1620, 2473, 4125, 4780, 5844, 6972, 8213, 901, 1280, 3007, 3914, 4344, 5705, 7084, 7485, 878, 1345, 2424, 3932, 4344, 5438, 7129, 7715, 1015, 1833, 2340, 3540, 4225, 5869, 6612, 8036, 1047, 1820, 2783, 3793, 4764, 5865, 7095, 7965, 223, 1643, 3001, 3960, 4794, 5405, 6810, 7807, 1029, 1302, 2189, 3600, 4379, 5380, 6663, 8123, 386, 1318, 2671, 3432, 4734, 5678, 6677, 8158, 371, 1469, 2901, 3906, 4191, 5802, 6408, 7785, 1024, 1469, 2708, 3401, 4482, 5539, 6966, 7873, 643, 1877, 3085, 3905, 4318, 5590, 6283, 7898, 504, 1469, 2958, 4105, 4320, 6131, 6952, 7312, 1024, 1469, 2708, 3378, 4482, 6056, 6401, 7899, 643, 1469, 2796, 3378, 4900, 5899, 6637, 7348, 643, 1356, 2367, 3864, 4504, 6035, 6928, 8033, 970, 2050, 2428, 4087, 4743, 5988, 6714, 7264, 970, 1469, 2423, 3776, 4983, 5449, 7152, 8135, 504, 1405, 2152, 3616, 5141, 5550, 7052, 7521, 1024, 1318, 2347, 3880, 5036, 6208, 6782, 7535, 678, 1686, 2428, 3374, 4470, 6063, 6567, 7631, 951, 1723, 3095, 3998, 4912, 5586, 6752, 8107, 779, 1486, 2732, 4171, 5169, 5684, 7160, 8236, 1025, 1151, 2889, 3645, 4276, 5534, 7220, 8267, 940, 2101, 2679, 4017, 4536, 5978, 6276, 7536, 171, 1984, 3109, 4009, 4555, 5515, 7197, 7852, 403, 1410, 2941, 3390, 4529, 5618, 6988, 7743, 175, 1248, 2866, 3332, 5135, 6203, 6338, 8117, 1065, 1349, 2647, 3770, 4558, 5373, 6982, 7672, 722, 1152, 2626, 3924, 4218, 6026, 7204, 7279, 1052, 1960, 2626, 3924, 4470, 5418, 6924, 7873, 793, 1332, 2835, 3394, 4555, 6194, 6295, 7290, 623, 1938, 3070, 3208, 4482, 6154, 6562, 8163, 840, 2053, 2303, 3842, 4321, 5696, 6419, 7793, 1084, 1692, 2675, 4128, 5095, 6084, 6860, 7865, 401, 1754, 2444, 3304, 5088, 6000, 6302, 7927, 150, 1227, 2381, 3771, 4229, 5396, 6884, 7807, 424, 1630, 2414, 3205, 5080, 5202, 7218, 7876, 401, 1930, 2556, 3771, 4385, 5966, 6668, 8266, 403, 1306, 3075, 3904, 4936, 5832, 6574, 7557, 1097, 2073, 2946, 4166, 4191, 6137, 7084, 8179, 555, 2001, 3135, 3891, 4888, 6131, 7207, 8076, 555, 1623, 3008, 3932, 4822, 5687, 6996, 7948, 252, 2006, 2644, 4089, 4186, 6201, 6705, 8191, 552, 1304, 3046, 4009, 4872, 6215, 7018, 7304, 779, 2065, 3026, 3309, 4470, 5832, 7237, 7490, 392, 1424, 2957, 3253, 4622, 6014, 6687, 7485, 271, 1510, 2570, 3653, 4955, 6068, 6634, 7774, 948, 1363, 2741, 3732, 4287, 5593, 6772, 7674, 731, 1271, 2741, 3710, 4983, 5496, 6359, 8260, 223, 2095, 3109, 3956, 4387, 6131, 6648, 8205, 401, 1402, 3109, 4098, 4622, 6073, 6302, 7256, 304, 1356, 3006, 3932, 4792, 5385, 6786, 8179, 304, 1407, 2803, 3369, 4583, 5767, 6752, 8126, 617, 1467, 3101, 3904, 4872, 5429, 6895, 7508, 240, 1458, 3042, 3358, 5144, 5590, 6895, 7799, 127, 2013, 3133, 3277, 4993, 5550, 7017, 8213, 518, 1597, 2659, 3851, 5007, 5219, 6996, 7677, 240, 2127, 2473, 3945, 4622, 5514, 6579, 7723, 127, 2106, 2560, 3595, 5159, 5963, 7152, 7723, 127, 2002, 2880, 4137, 4996, 5809, 7069, 8130, 654, 2060, 2506, 3955, 4615, 5548, 6998, 7965, 127, 1488, 2833, 3623, 4863, 5350, 6724, 7537, 518, 1750, 2775, 3420, 4918, 5550, 6889, 7865, 183, 2111, 2729, 3550, 5193, 6137, 7157, 7477, 401, 1370, 2761, 3987, 4870, 5863, 6610, 8061, 271, 1951, 2910, 4083, 4387, 6051, 6614, 7527, 363, 1938, 2481, 3894, 4539, 5886, 7043, 8046, 807, 1349, 3097, 3442, 5073, 5810, 7043, 7286, 992, 1494, 2239, 4015, 4966, 5863, 6592, 8117, 1057, 1489, 2751, 4151, 4946, 5202, 6248, 7793, 833, 1369, 2818, 4078, 4289, 5978, 6347, 7574, 804, 2106, 2943, 4168, 4215, 5413, 7149, 7876, 308, 1209, 2803, 3990, 4805, 5496, 6668, 7631, 1037, 2001, 2946, 4166, 4870, 5573, 7218, 7248, 541, 1918, 2552, 4080, 4945, 6118, 6872, 7948, 938, 1570, 2983, 3810, 4609, 5413, 6849, 7509, 692, 1555, 2241, 3434, 5034, 5904, 6348, 7588, 91, 1504, 2924, 3782, 4998, 5926, 7190, 7964, 981, 1986, 2511, 3885, 4788, 5792, 6927, 7250, 776, 1566, 2511, 3870, 4238, 5543, 6415, 7262, 970, 1517, 3112, 3811, 5017, 5695, 6456, 8061, 913, 1591, 2878, 4035, 4321, 5965, 6339, 8067, 585, 1407, 2235, 3917, 4364, 6128, 7185, 7718, 981, 1732, 2455, 3647, 5020, 5844, 6615, 8181, 913, 1369, 2775, 4035, 4724, 5839, 6528, 7704, 487, 1323, 2470, 3891, 4437, 5925, 7102, 7423, 862, 2107, 2798, 3911, 5122, 6132, 7043, 7580, 641, 1489, 2863, 3623, 4490, 5325, 7114, 7650, 857, 1992, 2156, 3540, 5180, 6025, 6959, 8181, 1099, 2111, 3144, 3886, 4792, 5950, 6898, 7811, 1097, 2111, 2960, 3776, 4622, 5968, 6604, 8070, 956, 1847, 3095, 3516, 4551, 5661, 7006, 7806, 899, 2073, 2946, 3994, 4788, 5893, 7114, 7753, 1056, 2073, 2989, 3916, 4912, 5462, 6778, 7876, 568, 1886, 3029, 4026, 5150, 5773, 7051, 8130, 256, 1695, 2271, 3726, 4326, 5890, 7218, 7477, 797, 1684, 2560, 3994, 4890, 5515, 6604, 8147, 860, 2017, 2806, 3825, 4630, 5241, 6972, 8223, 488, 1622, 2806, 3825, 5038, 6139, 7239, 8147, 488, 1622, 2914, 3893, 4624, 6139, 6752, 8196, 555, 1750, 3021, 4071, 4512, 5767, 6584, 7723, 555, 1468, 3021, 3891, 4387, 5767, 6988, 8261, 555, 1695, 3144, 4153, 4764, 6182, 6589, 7485, 859, 2002, 2970, 3803, 5040, 5586, 6584, 8196, 859, 2002, 3147, 3803, 5159, 5635, 6688, 7723, 859, 1468, 2775, 4171, 4583, 5550, 6752, 8164, 859, 2127, 2554, 3891, 4214, 5963, 6752, 8083, 859, 1332, 2554, 3680, 4214, 5586, 7077, 7865, 555, 2111, 2858, 4006, 5166, 5635, 6752, 8223, 555, 1974, 2164, 3391, 5007, 5635, 7129, 7677, 555, 2111, 3143, 3277, 4387, 5219, 7120, 8076, 186, 2111, 2833, 4171, 5060, 5635, 7077, 8126, 488, 2111, 2806, 3893, 4624, 5892, 6794, 8237, 142, 1528, 2806, 3825, 4624, 6186, 7077, 8223, 488, 1528, 3117, 4018, 4366, 5241, 7124, 7766, 899, 1869, 2957, 3671, 5058, 5385, 6889, 7715, 805, 2067, 2807, 4003, 4226, 5774, 6529, 7542, 640, 1507, 3001, 3459, 5031, 5787, 6401, 8249, 1052, 1349, 2291, 3977, 5184, 6179, 7090, 7350, 956, 1577, 2936, 3994, 5104, 5490, 6251, 8075, 818, 2111, 3135, 3710, 4888, 5378, 6786, 7557, 818, 1804, 3095, 3891, 4888, 6129, 6786, 7948, 818, 1620, 2746, 3982, 4822, 5661, 7084, 8076, 818, 2017, 3095, 4071, 4624, 5705, 7111, 7723, 510, 2017, 2730, 4114, 4630, 5832, 7124, 8267, 186, 1528, 3110, 4174, 4980, 5832, 6979, 8083, 865, 1905, 3124, 3566, 5150, 5858, 6423, 7605, 824, 1345, 2869, 3798, 4780, 5437, 6760, 8256, 568, 1550, 2190, 3470, 4923, 5515, 7037, 8015, 356, 2034, 2833, 3994, 5097, 5840, 7132, 7643, 752, 2088, 2872, 3420, 4449, 6094, 6563, 7474, 897, 1964, 2580, 4138, 4228, 5938, 6494, 7350, 462, 2036, 2751, 3953, 4448, 5313, 7075, 8256, 536, 2036, 2751, 3653, 5151, 5347, 7002, 7687, 536, 1550, 3039, 3525, 4734, 5719, 6906, 8129, 650, 1989, 2242, 4072, 5194, 5616, 6612, 8018, 887, 1164, 2678, 3792, 4852, 5794, 6255, 7366, 391, 1881, 2429, 4093, 4849, 6160, 6283, 8188, 1090, 1629, 2279, 3649, 4536, 5767, 6804, 8132, 831, 1858, 2567, 4101, 5085, 5784, 6646, 8066, 610, 1777, 2656, 3671, 4622, 6164, 6702, 8079, 356, 1847, 2924, 3183, 4762, 6016, 6771, 7727, 715, 1280, 2139, 3566, 4536, 5705, 6715, 7959, 256, 1958, 2356, 3231, 4859, 6146, 6761, 7365, 568, 1141, 2771, 3159, 4925, 5610, 7052, 7960, 421, 1858, 2242, 3885, 5097, 6000, 6291, 8130, 568, 1510, 2718, 3566, 4687, 6182, 6579, 7442, 757, 1570, 2608, 3891, 4318, 5579, 7192, 7563, 757, 1736, 2356, 3470, 5159, 5385, 7232, 8185, 153, 1570, 3144, 3904, 4606, 5218, 6579, 7838, 552, 1684, 2656, 4021, 4398, 5963, 7201, 7660, 684, 1218, 3043, 3955, 4622, 6129, 6996, 8179, 223, 1421, 3112, 3219, 4795, 5734, 7052, 8047, 465, 1196, 2775, 3469, 4364, 5605, 7232, 8069, 1080, 1758, 2992, 4091, 4620, 5233, 6391, 8031, 981, 1139, 2818, 4082, 4226, 5363, 6486, 8270, 1029, 1758, 2810, 3807, 4529, 5918, 6829, 7982, 1081, 1758, 2582, 3994, 5169, 5893, 7099, 7962, 1056, 2102, 2436, 3773, 5020, 5901, 6824, 7592, 779, 1485, 2946, 3442, 4861, 6040, 6564, 7962, 831, 1858, 2990, 3773, 4426, 5686, 6734, 7717, 779, 1485, 2989, 3710, 5088, 5893, 6382, 7919, 1056, 1761, 2163, 3334, 4622, 5436, 6830, 7918, 1056, 1847, 2582, 3201, 4861, 6040, 7132, 7591, 1056, 2068, 2960, 3909, 4895, 5219, 6972, 8066, 1056, 1562, 3022, 4011, 4366, 6211, 7004, 8237, 308, 1705, 2895, 3710, 4980, 5901, 6809, 8260, 956, 1963, 2803, 3982, 5038, 6205, 7239, 8260, 1097, 1750, 2960, 4174, 4798, 5883, 6979, 7949, 818, 1705, 2947, 3990, 4366, 5241, 6515, 7485, 488, 2017, 3117, 3367, 5038, 6139, 7124, 7766, 488, 1528, 2914, 3893, 5038, 5241, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 43, 45, 30, 16, 54, 5, 43, 69, 51, 5, 66, 20, 63, 5, 52, 73, 64, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 6794, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 555, 1623, 3021, 3893, 4798, 5635, 7006, 8147, 356, 2127, 3021, 3914, 4387, 5241, 6604, 7723, 756, 1876, 2880, 4145, 5138, 5953, 6688, 7898, 761, 1550, 3003, 3191, 4541, 5586, 6409, 7750, 1045, 1958, 2346, 3237, 4873, 5530, 7127, 7823, 1023, 1790, 2817, 3913, 4953, 5828, 6492, 7466, 540, 1971, 2190, 3565, 4298, 6118, 7158, 7549, 1056, 2000, 3003, 3418, 4748, 5963, 6612, 7838, 512, 2098, 2520, 4078, 4867, 5548, 7218, 7887, 512, 1998, 2520, 3440, 4870, 5865, 6668, 8236, 512, 1847, 3144, 3771, 4782, 6175, 7218, 8039, 512, 2102, 3095, 4027, 5020, 6131, 6996, 7948, 304, 1566, 2582, 4145, 4533, 5413, 7149, 7421, 767, 1120, 2943, 3987, 5169, 6131, 6515, 7423, 223, 1761, 2866, 3931, 4335, 5204, 7207, 8205, 149, 1664, 3073, 4095, 4894, 5983, 7232, 8085, 716, 1852, 2429, 3931, 4280, 5641, 6828, 7481, 335, 1886, 2731, 3982, 5124, 6080, 6630, 7664, 767, 1886, 2937, 3789, 5084, 6120, 6719, 7966, 970, 1807, 3026, 3469, 5026, 5840, 6579, 7794, 216, 1234, 2564, 3530, 4708, 5396, 6803, 7706, 401, 2068, 2167, 3680, 4319, 6026, 7163, 8031, 91, 1206, 2336, 3951, 5150, 5825, 6226, 7916, 512, 2065, 2936, 3710, 5159, 6087, 7132, 8260, 308, 2073, 2998, 3710, 4641, 6103, 7160, 7593, 132, 1370, 2803, 3945, 4933, 5941, 6786, 8236, 132, 1467, 3007, 3391, 5139, 5946, 7069, 8179, 804, 1933, 2554, 3595, 4481, 5946, 6967, 7260, 401, 1224, 3112, 3227, 4212, 5942, 6559, 8244, 166, 1183, 2710, 4115, 4195, 6102, 6537, 8188, 381, 1480, 2137, 3468, 4407, 6114, 6622, 7426, 632, 1812, 2137, 3558, 4774, 5863, 6383, 7639, 333, 1554, 2446, 3727, 5100, 5826, 6921, 7983, 887, 1447, 2282, 3915, 4804, 5833, 6723, 8262, 1056, 1972, 2512, 3395, 4925, 5946, 6579, 7629, 337, 1847, 2860, 3998, 4942, 5899, 6646, 7458, 818, 1847, 2975, 3188, 4867, 5968, 6688, 7876, 186, 1992, 3135, 3886, 4861, 6103, 6688, 7806, 935, 1175, 3143, 3516, 4691, 5824, 7120, 8237, 935, 1175, 3006, 3990, 4630, 6146, 6709, 7720, 935, 1791, 2730, 4114, 4704, 5534, 6794, 7764, 403, 1320, 3038, 3361, 4481, 6048, 7211, 7816, 552, 2065, 3062, 3539, 4670, 5536, 7129, 7641, 555, 2111, 3062, 3710, 4529, 5767, 7218, 8237, 915, 2111, 2340, 4115, 4630, 6205, 7120, 8147, 488, 2111, 2914, 3893, 4624, 5635, 7239, 7876, 488, 2017, 3065, 3825, 4624, 6139, 7124, 7766, 142, 1528, 2806, 3825, 4704, 5901, 6794, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2111, 3065, 3893, 4798, 5635, 6794, 8223, 488, 2111, 2164, 3893, 4624, 6081, 7120, 7766, 142, 1528, 2914, 3367, 4624, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7124, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2164, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 356, 1320, 2880, 3994, 4583, 5677, 6584, 7641, 276, 1695, 2992, 3188, 4836, 6163, 6917, 7482, 757, 2002, 2328, 4166, 4916, 5746, 6938, 7476, 153, 1758, 3032, 3440, 5164, 6103, 7098, 7816, 942, 2125, 2868, 3662, 5171, 5898, 6774, 7250, 1033, 1559, 2492, 3577, 5018, 6141, 7059, 7708, 277, 1850, 2278, 3722, 4438, 5509, 7112, 8016, 436, 1674, 2597, 4043, 5074, 6019, 6667, 7906, 646, 1674, 3066, 4098, 4420, 6028, 6721, 8060, 936, 1478, 2741, 3292, 4404, 5207, 6777, 7408, 436, 1633, 2973, 3763, 4404, 5454, 6825, 7628, 436, 1674, 2553, 3436, 4239, 5287, 7057, 8251, 123, 1831, 2232, 3940, 4684, 5985, 6469, 7620, 536, 1542, 2590, 3527, 4745, 5880, 6932, 8060, 299, 1512, 2441, 3769, 4559, 5708, 6579, 8134, 840, 1713, 2648, 3684, 5152, 6071, 6301, 7920, 271, 1479, 2608, 3381, 4681, 5297, 6758, 7875, 981, 2033, 2440, 4027, 4394, 5733, 6642, 8264, 1029, 1141, 2915, 3911, 4439, 5351, 6932, 7405, 386, 1157, 2515, 3182, 4814, 5512, 6760, 7611, 504, 1199, 2890, 4145, 5061, 5413, 6826, 7467, 643, 1682, 2970, 3233, 4671, 5616, 6548, 7469, 150, 1199, 2678, 4126, 5017, 5761, 7219, 7869, 610, 1918, 2296, 3475, 4592, 6119, 6302, 7439, 1025, 1248, 3003, 3704, 4731, 5695, 7133, 8244, 1025, 1918, 2137, 3901, 5039, 5362, 6525, 7996, 113, 1553, 2868, 3475, 4872, 5590, 7119, 7865, 993, 1455, 2750, 3612, 4797, 5425, 6388, 7645, 535, 1463, 2923, 3522, 4364, 6154, 6665, 7964, 895, 1141, 2250, 3464, 4364, 5447, 6807, 7547, 850, 1440, 2440, 3964, 4376, 5781, 7157, 7959, 424, 1972, 2955, 4103, 5169, 5408, 7100, 7628, 684, 2091, 2661, 3564, 4371, 5841, 6820, 7477, 940, 1173, 3092, 3642, 4589, 5527, 6967, 7563, 510, 1407, 3026, 4068, 4622, 6103, 6515, 8237, 390, 2000, 2554, 3644, 5084, 5219, 7168, 7563, 308, 2065, 3075, 3982, 5143, 5219, 7010, 7948, 552, 1791, 2542, 3391, 4717, 5694, 7047, 7717, 568, 1826, 2833, 3348, 4611, 5574, 7006, 8261, 225, 1586, 2792, 3426, 4423, 6199, 6267, 8266, 225, 1586, 2941, 3928, 4859, 5890, 6772, 8190, 225, 1332, 2729, 3555, 4536, 5811, 6514, 8205, 225, 1424, 2918, 3359, 4555, 5603, 6844, 7248, 228, 1345, 2959, 3391, 4877, 5908, 6604, 8061, 228, 2111, 2791, 3376, 5135, 5438, 7129, 8016, 228, 2061, 2791, 4153, 4622, 6034, 7024, 8188, 228, 1468, 2729, 3394, 5168, 5438, 7152, 8015, 228, 1750, 2359, 3711, 5138, 5515, 6752, 8236, 228, 2111, 2554, 4125, 4715, 5981, 6840, 8076, 543, 1304, 2542, 3595, 5060, 6175, 6889, 7715, 256, 2111, 3133, 3595, 5079, 5324, 6486, 7485, 543, 1750, 2792, 3595, 5079, 5811, 7077, 8061, 419, 2017, 2560, 3838, 5079, 5241, 6752, 7865, 201, 1528, 2833, 3914, 4704, 5514, 6589, 7303, 488, 2017, 2806, 3893, 4704, 5514, 7124, 8196, 488, 2017, 3117, 3367, 4624, 6139, 7124, 8196, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2164, 3825, 4624, 6139, 6794, 8196, 488, 1648, 2164, 3893, 4798, 6139, 7077, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3893, 4704, 6186, 7226, 8196, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 45, 66, 5, 66, 69, 51, 5, 64, 17, 53, 5, 66, 26, 53, 5, 66, 73, 5, 53, 39, 51, 5, 43, 35, 5, 18, 54, 30, 35, 64, 66, 14, 54, 30, 5, 5, 3, 797, 1648, 2806, 3825, 4704, 6211, 6752, 8147, 488, 1648, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6752, 8080, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6211, 7124, 7766, 859, 1705, 2970, 3391, 5083, 5832, 6604, 7641, 767, 1906, 2885, 3752, 4555, 5925, 6458, 7549, 547, 1219, 2346, 4138, 5194, 5516, 6698, 7878, 1036, 1695, 2239, 3254, 5197, 5456, 6224, 8140, 448, 1564, 2422, 3566, 4863, 5865, 6498, 8050, 1099, 1175, 3038, 3602, 4869, 5580, 7069, 8267, 105, 1791, 2554, 3914, 4919, 5276, 6401, 7591, 1099, 1992, 2925, 3886, 4387, 6123, 6589, 8261, 143, 1490, 2139, 4085, 5120, 5476, 7006, 7673, 276, 1490, 2608, 3869, 5130, 5384, 6522, 7913, 183, 1332, 2542, 3726, 4863, 5557, 6810, 7717, 153, 1807, 2596, 3761, 4261, 5218, 7063, 7962, 408, 1373, 2788, 3292, 4449, 6217, 6272, 7394, 408, 1826, 2530, 3586, 5075, 5220, 6898, 7591, 216, 1463, 3150, 3245, 4513, 5332, 7122, 7977, 956, 2073, 3043, 4114, 4387, 5832, 7173, 7485, 510, 1750, 2340, 4150, 5106, 6211, 6709, 8179, 555, 1705, 2806, 4174, 5058, 6186, 7132, 7723, 175, 2106, 2656, 3413, 4381, 6165, 6966, 7538, 489, 1684, 3059, 3608, 4764, 5650, 6609, 7838, 225, 2127, 2709, 3827, 4918, 5438, 6291, 7806, 195, 2002, 3133, 3931, 4549, 5678, 7129, 7838, 654, 2002, 2669, 3298, 4715, 5795, 7232, 7393, 654, 1789, 3064, 4145, 5135, 5630, 6528, 8266, 183, 2118, 2669, 3394, 4912, 6137, 7157, 7715, 356, 1347, 2554, 3321, 5080, 6051, 7044, 7865, 948, 1932, 2959, 3277, 4890, 5890, 6410, 7808, 556, 1496, 2844, 3425, 4852, 5261, 6382, 7981, 1006, 1792, 2345, 3155, 4576, 5786, 6798, 7968, 641, 1183, 2786, 3921, 4734, 5624, 7186, 7613, 537, 1222, 3060, 3590, 5128, 5724, 6269, 8104, 767, 1881, 2960, 3516, 5159, 5573, 6630, 7525, 424, 1637, 2340, 4105, 4583, 5694, 7218, 7957, 424, 1668, 2315, 3540, 4570, 5981, 7132, 8159, 216, 2046, 2793, 4011, 4447, 6146, 7207, 7677, 335, 1984, 3064, 4145, 4215, 5883, 7218, 8179, 401, 1218, 2903, 4145, 4861, 6205, 6630, 7948, 510, 1623, 2336, 3307, 5020, 5825, 6810, 7976, 555, 1705, 3095, 3982, 4918, 5767, 6979, 8261, 186, 2046, 3128, 4071, 4782, 6195, 7201, 8185, 568, 2098, 2359, 3932, 4541, 5981, 6515, 7831, 699, 1684, 2251, 3276, 5192, 6107, 6510, 7651, 105, 1333, 2659, 3374, 4923, 6137, 6804, 8107, 833, 1523, 2833, 3914, 4870, 5550, 6889, 7563, 1062, 2047, 2953, 3909, 4546, 5221, 6270, 7934, 942, 1789, 2612, 3776, 5168, 5540, 6612, 8129, 91, 1469, 2934, 4013, 4983, 6024, 6962, 8062, 844, 1183, 2700, 4131, 4987, 5459, 6547, 7690, 465, 1183, 2758, 3358, 4222, 6001, 6522, 8190, 759, 1183, 2623, 3611, 4775, 5789, 6639, 8084, 113, 1183, 2358, 3839, 4450, 6150, 6354, 7672, 952, 1789, 3066, 3648, 4776, 5870, 7171, 8121, 952, 1789, 2669, 3574, 4966, 5663, 7233, 8163, 113, 2118, 2918, 3968, 4449, 5594, 6721, 7545, 113, 1349, 2144, 3968, 4709, 5836, 7198, 7991, 776, 1753, 2180, 3165, 4364, 6086, 6705, 7500, 952, 1561, 2591, 4168, 4604, 5734, 6444, 8037, 610, 1397, 2258, 3763, 5074, 6167, 6265, 7660, 1102, 1858, 2348, 3340, 4430, 5627, 7100, 8263, 1090, 1831, 3101, 3493, 4215, 5643, 7100, 7877, 887, 1717, 2946, 3516, 5153, 5212, 7019, 7716, 887, 1717, 2946, 3206, 4822, 5899, 7095, 7806, 150, 1255, 2429, 4108, 4780, 5216, 6852, 7965, 955, 1562, 2996, 3645, 4447, 6129, 6709, 8237, 678, 1869, 2727, 3671, 4267, 5901, 6899, 8236, 779, 1994, 2746, 4145, 4856, 5573, 6515, 7806, 684, 2068, 2989, 3710, 5058, 6131, 7129, 7949, 1099, 1620, 2833, 3866, 4470, 5216, 6709, 8267, 1099, 1791, 3110, 3990, 5061, 6211, 6786, 7876, 488, 2000, 2781, 4011, 5058, 6081, 7239, 7949, 757, 1623, 2970, 4089, 5145, 5503, 6852, 7438, 225, 1461, 2656, 3566, 5190, 6149, 7024, 8185, 356, 1695, 2646, 3566, 4996, 5730, 6612, 7919, 390, 1286, 3008, 3967, 4890, 6146, 6645, 7421, 223, 1797, 2271, 3341, 4225, 5613, 6677, 7698, 504, 1403, 2871, 4168, 4819, 6055, 7193, 7980, 1029, 2065, 2436, 3643, 5098, 5286, 6803, 7570, 776, 1914, 2436, 3920, 4878, 5927, 7098, 8266, 1025, 1773, 2794, 3195, 4598, 5893, 7157, 7641, 1025, 1773, 2946, 3756, 4371, 5699, 7052, 7570, 1029, 1773, 2655, 3692, 5022, 6181, 7069, 8092, 1033, 1167, 2655, 3922, 4334, 5475, 6566, 7574, 1024, 1333, 2709, 3704, 5000, 5893, 7163, 7976, 737, 1424, 2953, 3316, 4528, 6194, 6419, 8123, 585, 2033, 2890, 3796, 4289, 5334, 6239, 7992, 150, 1938, 2379, 3363, 5077, 6159, 6703, 7684, 1025, 1403, 2867, 3884, 4604, 6119, 6642, 8046, 1025, 1707, 2282, 3842, 4269, 5803, 6956, 7712, 1090, 1411, 2710, 3796, 5139, 5899, 6740, 8107, 308, 1620, 2989, 3407, 4912, 5630, 7157, 8036, 555, 1467, 3046, 3827, 5061, 6195, 7207, 7421, 552, 1707, 3046, 4145, 4980, 5890, 7168, 7574, 579, 1684, 2873, 4097, 4381, 6101, 6291, 7646, 617, 1804, 2370, 4124, 4918, 6205, 6776, 7537, 757, 2109, 3008, 3879, 4775, 5413, 6584, 8051, 171, 2111, 2924, 3188, 4586, 6195, 6566, 7776, 955, 1509, 2924, 3892, 5020, 5565, 6840, 8228, 942, 1499, 2941, 3788, 4533, 5606, 6852, 8215, 271, 1141, 3150, 3949, 5134, 5212, 6850, 7559, 150, 1682, 2440, 4166, 4474, 5951, 6840, 7831, 776, 2001, 2511, 3231, 4289, 5617, 6520, 8061, 643, 1773, 2878, 4005, 4828, 5694, 6331, 7791, 887, 2063, 2790, 4076, 4801, 5687, 6850, 7570, 1057, 1363, 2905, 3615, 4533, 5363, 6852, 7870, 1057, 1141, 2996, 3979, 4226, 5977, 6958, 7494, 610, 1490, 2810, 3330, 4791, 5850, 6676, 7627, 610, 1672, 2361, 3776, 4570, 6114, 6234, 8245, 610, 1880, 2688, 4078, 5169, 5610, 6364, 7582, 610, 1490, 2899, 3979, 4536, 5610, 7028, 7939, 1025, 1496, 3037, 3407, 5026, 5444, 6400, 7976, 1025, 1797, 2387, 4168, 5165, 5413, 7166, 8126, 1025, 1924, 2783, 3671, 4982, 5981, 6470, 7717, 1025, 1797, 2970, 3917, 5061, 5210, 6972, 8126, 1025, 1777, 2783, 4145, 5104, 5550, 7149, 8049, 1090, 1587, 2809, 3886, 4387, 5704, 6589, 7959, 804, 1335, 2880, 4068, 4912, 6051, 6786, 8179, 183, 1494, 2886, 4026, 4512, 5432, 6453, 8164, 1020, 1171, 2728, 3511, 4646, 6135, 6830, 7732, 952, 1363, 2959, 3876, 4350, 5874, 6263, 7558, 613, 1167, 2871, 3750, 4423, 5746, 6840, 7800, 317, 1820, 3046, 3424, 4800, 6194, 6765, 7868, 225, 2125, 2885, 3918, 4934, 5716, 6603, 7557, 225, 1529, 2646, 3540, 4615, 5892, 6348, 7711, 225, 2060, 2833, 3768, 4344, 6086, 6365, 8209, 654, 2002, 3000, 3928, 5190, 6085, 6579, 7732, 654, 2111, 2230, 3922, 4329, 5968, 6734, 8100, 240, 2078, 2880, 4113, 5079, 6110, 6338, 7485, 789, 1756, 2132, 3337, 4852, 6065, 7006, 8076, 915, 1756, 2941, 3803, 5138, 5963, 7103, 8236, 915, 2017, 2914, 3825, 4611, 5963, 6889, 8196, 419, 2017, 2806, 3893, 4549, 6129, 6972, 8164, 518, 1684, 2466, 4113, 4512, 5832, 6607, 7641, 715, 1218, 2791, 4166, 4534, 6204, 6879, 7908, 392, 1349, 2881, 3878, 5122, 6141, 6923, 7424, 465, 2036, 2724, 3566, 4201, 5631, 7136, 7586, 868, 2036, 2848, 3824, 4573, 5381, 6472, 8110, 536, 1108, 2151, 3981, 5081, 5512, 7022, 8266, 1062, 2083, 2466, 3259, 4205, 5707, 6588, 8125, 113, 1490, 2327, 4143, 5107, 5621, 6269, 8128, 1057, 1939, 2987, 3261, 4495, 5305, 6840, 8017, 465, 1653, 2487, 3583, 4417, 5810, 6986, 8262, 692, 1494, 2987, 4133, 4495, 5314, 6511, 7488, 620, 2063, 2346, 3824, 5123, 6094, 6224, 8252, 668, 2114, 2487, 3699, 4623, 5719, 7043, 7599, 913, 1472, 2532, 4133, 4420, 5576, 6875, 7355, 620, 2111, 3116, 3225, 5054, 6111, 7198, 7916, 641, 1669, 2627, 3788, 4901, 6146, 6944, 7290, 1056, 1992, 2436, 3929, 4690, 6171, 7058, 8099, 211, 1269, 2900, 3801, 4297, 5925, 6571, 7732, 663, 2095, 2429, 3963, 4179, 6195, 6514, 7397, 1051, 1747, 2944, 3788, 4700, 5661, 7017, 7918, 951, 1238, 2783, 4145, 4690, 6195, 6736, 7574, 951, 1218, 2678, 3707, 4287, 5752, 6708, 8052, 1056, 1992, 3064, 4108, 5088, 5661, 6752, 7948, 857, 1320, 2470, 3795, 4387, 6192, 6702, 7906, 692, 1171, 2271, 3231, 4762, 5792, 6456, 7727, 1038, 1347, 2429, 3964, 4321, 6145, 6832, 7823, 1084, 1633, 2724, 3770, 4802, 5315, 7096, 8149, 833, 1349, 3085, 3231, 4868, 5527, 6740, 7533, 956, 1684, 2970, 3945, 4551, 5719, 7132, 7888, 804, 1349, 2858, 4174, 4374, 5892, 6988, 7948, 4, 2 ]

[ 1, 76, 45, 31, 5, 57, 54, 52, 47, 5, 31, 33, 63, 5, 53, 45, 78, 35, 16, 28, 16, 52, 5, 62, 45, 66, 16, 54, 64, 5, 17, 75, 5, 28, 63, 33, 30, 5, 16, 54, 30, 5, 76, 20, 66, 35, 5, 66, 73, 5, 51, 48, 62, 5, 28, 11, 30, 47, 5, 16, 54, 30, 5, 64, 57, 52, 5, 66, 16, 42, 33, 31, 35, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2164, 3893, 4624, 5635, 7077, 8223, 915, 1528, 2957, 4071, 4980, 5892, 6786, 7723, 318, 1318, 2903, 3512, 5084, 5696, 6404, 8214, 803, 2035, 2348, 3218, 4950, 5449, 6572, 8078, 1080, 1978, 2491, 3521, 4661, 5975, 6903, 7902, 1036, 1299, 2161, 3714, 4282, 6135, 6881, 7453, 390, 1507, 2658, 3741, 4338, 6138, 7056, 7898, 899, 1320, 2886, 3656, 5180, 5904, 6512, 7919, 899, 2125, 3095, 3487, 4536, 6120, 7232, 7876, 500, 1924, 2783, 3951, 4699, 5333, 6689, 8016, 160, 1299, 2929, 3306, 4945, 6208, 7010, 7754, 664, 2009, 2455, 3421, 4507, 6082, 7068, 8045, 535, 1828, 2486, 3717, 4321, 5611, 6916, 7583, 778, 2036, 2234, 3356, 4472, 6002, 6524, 8018, 104, 1362, 2672, 3696, 4348, 5276, 6998, 8115, 850, 1704, 2482, 3974, 4843, 5923, 6870, 7329, 826, 1345, 2258, 3840, 4364, 5403, 6864, 7926, 150, 1581, 2189, 4082, 4364, 5473, 6540, 8067, 104, 1581, 2731, 3220, 5122, 5810, 7162, 7829, 271, 2079, 2311, 3692, 4516, 5708, 6668, 7501, 1025, 1708, 2946, 3290, 4179, 5243, 6224, 8266, 271, 2079, 2868, 4082, 4929, 5966, 7086, 7263, 643, 1682, 2926, 3357, 4592, 6158, 6976, 7602, 887, 2033, 2610, 3932, 4670, 5784, 6885, 8213, 150, 1540, 2939, 3956, 4633, 5834, 7207, 7816, 1025, 1773, 3150, 3909, 4533, 6085, 7114, 8252, 725, 1596, 3053, 4007, 4534, 5423, 6458, 7350, 1101, 2118, 2401, 3623, 4338, 5610, 6884, 8256, 807, 1652, 2316, 3978, 4595, 5279, 6224, 8061, 807, 1280, 2656, 3426, 4539, 5954, 7222, 8189, 299, 1806, 2678, 3623, 4985, 5887, 6414, 8074, 887, 1832, 2867, 3268, 4586, 6118, 6918, 7976, 779, 1972, 3026, 3900, 4529, 5360, 6977, 8117, 510, 1931, 2895, 4155, 5129, 5911, 6558, 8076, 510, 1467, 2730, 4011, 5038, 6146, 6979, 8267, 715, 2106, 2720, 3710, 5107, 5687, 6771, 7574, 1057, 1830, 3079, 3464, 4259, 6116, 7094, 7972, 993, 2118, 2688, 3416, 4541, 5742, 6592, 8038, 884, 1290, 3032, 3796, 4443, 6077, 6349, 8143, 884, 1664, 3032, 3329, 4595, 5870, 7048, 7976, 1057, 2009, 2731, 3329, 4946, 5580, 6923, 7590, 1057, 2125, 2751, 3390, 5164, 5734, 6453, 7291, 1062, 1968, 2625, 3962, 4337, 5650, 6830, 8061, 952, 1139, 2871, 4146, 5053, 5223, 6581, 7473, 610, 1490, 2887, 3936, 4713, 5734, 6800, 7602, 373, 1847, 2163, 3616, 4368, 5799, 6592, 7822, 424, 1363, 2436, 3679, 5020, 5390, 6566, 8239, 610, 1858, 2924, 3970, 4834, 5378, 7168, 8093, 1090, 1847, 2794, 3901, 4651, 5350, 6434, 8267, 778, 1935, 2946, 3488, 4807, 6182, 6348, 7582, 1090, 1218, 2436, 3901, 4991, 5425, 7095, 7764, 424, 1238, 2783, 3361, 4622, 5210, 6254, 7336, 850, 1858, 2783, 4096, 4423, 5847, 7099, 7965, 610, 2053, 2440, 3964, 4813, 5219, 6979, 8267, 1040, 1826, 2239, 3669, 4321, 5320, 7163, 7480, 443, 2118, 2562, 3187, 5001, 5653, 6426, 7962, 826, 1700, 2625, 4137, 4195, 5318, 6443, 7525, 424, 1305, 2730, 3447, 4617, 5223, 6671, 7962, 317, 1459, 2697, 3416, 5020, 5521, 6466, 7538, 317, 1924, 2751, 3773, 4490, 5918, 7211, 7384, 225, 2097, 2355, 3936, 4646, 5276, 6910, 7492, 225, 2097, 2992, 3204, 4945, 5378, 6484, 7496, 256, 1750, 2992, 3550, 4512, 5493, 7085, 7887, 105, 1623, 3008, 3225, 4555, 5425, 6889, 7753, 757, 2034, 3064, 3723, 5088, 5436, 6701, 7732, 541, 1313, 3026, 3885, 4186, 6129, 6856, 8227, 171, 1523, 3026, 3355, 5058, 5963, 6605, 7656, 1047, 1770, 2754, 3826, 4807, 5352, 6284, 7473, 150, 1831, 2728, 3325, 5134, 5596, 6918, 7919, 776, 1867, 2541, 3667, 4966, 5667, 6727, 8213, 940, 1523, 2965, 3487, 4653, 5548, 7059, 8236, 643, 1459, 2163, 3676, 4806, 5216, 6604, 8222, 887, 1318, 2518, 4041, 4287, 5385, 6750, 8256, 887, 1469, 2974, 3539, 4494, 5369, 6981, 8266, 150, 1871, 2894, 3254, 4617, 5516, 6911, 7264, 504, 1499, 2554, 3742, 4501, 5448, 6729, 7677, 1025, 2061, 3037, 3567, 4672, 5904, 6848, 7792, 643, 2061, 2313, 3685, 5062, 6080, 6247, 7707, 150, 2061, 2690, 3432, 4427, 5742, 6461, 7758, 504, 2035, 3126, 3557, 4859, 5815, 6832, 7262, 450, 2000, 2519, 4105, 4588, 6087, 6506, 7957, 1097, 2000, 2803, 3945, 5166, 5832, 6988, 7723, 818, 1998, 2838, 3440, 4624, 6139, 6979, 8267, 201, 1845, 3065, 3893, 4704, 5630, 7084, 8147, 488, 1528, 2806, 3893, 5080, 6195, 7132, 7641, 818, 1622, 2164, 3893, 5080, 6139, 7124, 7876, 818, 2017, 3065, 3825, 4624, 6195, 6794, 7766, 818, 1528, 2746, 4071, 4822, 5705, 7124, 8083, 510, 1681, 2947, 3361, 4867, 5832, 6979, 7723, 120, 2059, 2499, 3344, 5150, 6061, 7066, 8230, 405, 1557, 2771, 3160, 5012, 5788, 7090, 7563, 318, 1280, 2487, 3983, 5115, 5827, 6899, 7529, 993, 1266, 2298, 3298, 4542, 5441, 6382, 7617, 737, 1773, 2830, 3292, 4921, 6090, 7053, 8254, 691, 2079, 2665, 3995, 4278, 5714, 6740, 7679, 860, 2068, 2989, 3945, 4387, 5899, 6755, 8080, 186, 1847, 3110, 3201, 5080, 5210, 7006, 8260, 935, 1620, 2746, 4085, 5159, 6211, 6752, 8267, 935, 1620, 2730, 3990, 5038, 6195, 6786, 8083, 818, 1528, 2996, 3990, 5058, 6081, 6979, 7949, 1081, 1141, 2895, 4124, 4912, 5985, 7207, 7607, 818, 2073, 2943, 4145, 4630, 6211, 7017, 7876, 555, 1804, 3043, 4018, 4630, 5635, 7120, 7876, 216, 1827, 2838, 3945, 4651, 5968, 6988, 7677, 335, 1797, 3098, 3492, 4691, 5684, 6988, 8126, 223, 1721, 2946, 3656, 4918, 5924, 6752, 8266, 211, 1930, 2915, 3472, 4179, 6051, 6622, 7899, 288, 1467, 2924, 4011, 5088, 5219, 7160, 8179, 240, 1540, 3133, 4108, 5061, 5863, 6604, 8179, 654, 1750, 3147, 3245, 5159, 5767, 6607, 7715, 518, 2127, 2554, 3838, 4981, 6085, 6740, 7698, 518, 1645, 2791, 4145, 5075, 6129, 6612, 8066, 518, 1750, 3133, 3891, 5079, 5296, 6677, 7781, 228, 1252, 2970, 3777, 4398, 5719, 6899, 7929, 105, 1961, 2554, 3891, 5058, 6137, 6623, 7303, 684, 2065, 2718, 4006, 5139, 5767, 7069, 7537, 685, 1424, 2863, 3581, 4334, 6135, 6338, 7313, 386, 1490, 2678, 3740, 5004, 5973, 6917, 7385, 650, 1294, 3137, 3910, 5077, 5577, 6558, 7454, 288, 2035, 2895, 3253, 5165, 5416, 6891, 7924, 684, 1897, 2980, 3512, 5115, 6085, 7201, 7723, 804, 1791, 2895, 4108, 5104, 5705, 7006, 8076, 308, 2063, 3007, 4018, 4822, 5901, 7239, 7948, 804, 1218, 2957, 3710, 5166, 6081, 7111, 8179, 308, 1218, 3043, 4108, 4822, 5635, 7218, 7485, 779, 1963, 2947, 4166, 5038, 6211, 6794, 8237, 308, 1508, 3043, 3671, 4366, 6182, 7084, 8267, 779, 1540, 2957, 4108, 5104, 6211, 6988, 7876, 308, 1508, 3110, 3671, 5139, 6129, 7239, 7949, 779, 1540, 2936, 3226, 4551, 6081, 6988, 8083, 691, 1436, 2669, 4064, 4727, 5929, 7103, 7393, 639, 1918, 3092, 3598, 4852, 5873, 6502, 7473, 504, 1966, 2878, 3423, 4799, 5639, 6283, 8041, 761, 1586, 2846, 3728, 4818, 5925, 7139, 8136, 137, 1397, 2378, 3281, 4679, 5464, 6892, 7881, 876, 1283, 2597, 3229, 4829, 5560, 7184, 7967, 996, 1938, 2748, 3892, 4539, 5989, 6263, 7821, 1022, 1494, 2542, 3420, 4539, 5436, 6570, 8093, 643, 2107, 2585, 3492, 4539, 6213, 7096, 7248, 1090, 1494, 2761, 3909, 4539, 6167, 7067, 7941, 390, 2063, 2970, 3374, 5165, 5320, 7181, 7641, 1056, 1675, 2903, 3922, 4287, 5588, 6584, 7605, 1090, 1388, 3128, 3595, 4387, 5704, 7132, 7992, 211, 1753, 2856, 3516, 4573, 5886, 6972, 7682, 1025, 1924, 3097, 3581, 5135, 5984, 6663, 7602, 993, 1924, 3097, 3448, 4604, 5653, 6412, 8107, 993, 1938, 2172, 3909, 4368, 5653, 6671, 8092, 1025, 1938, 2689, 3975, 5124, 5341, 7096, 7442, 1025, 2045, 2173, 4076, 5095, 5584, 6987, 8025, 211, 1671, 2915, 3932, 4855, 5493, 7201, 7387, 610, 1255, 2936, 3169, 4831, 5352, 6579, 7393, 1025, 1773, 2991, 3201, 5159, 5219, 7030, 8126, 1025, 1773, 3098, 3680, 4672, 5614, 6734, 8141, 1090, 1809, 3098, 3717, 4334, 6014, 6579, 8126, 940, 1399, 3144, 3540, 5080, 5565, 6988, 8260, 211, 1791, 2880, 3982, 5080, 5534, 6408, 7764, 1090, 1700, 2947, 3512, 4215, 5630, 6614, 8185, 373, 1489, 2996, 3487, 4554, 6128, 6972, 8245, 776, 2079, 2746, 3226, 4881, 6085, 7004, 8185, 1090, 1363, 2476, 3990, 4447, 5606, 7111, 7918, 831, 2081, 2796, 3420, 4690, 6144, 7047, 7807, 504, 2019, 2530, 3813, 4766, 6087, 7051, 7934, 864, 1440, 2797, 4098, 4791, 5348, 6476, 7602, 547, 2066, 2149, 4053, 4462, 5347, 6426, 7675, 864, 2089, 2330, 3845, 4919, 5492, 6348, 7263, 547, 1486, 2173, 3880, 4706, 5487, 6789, 8015, 864, 1938, 2532, 4053, 4706, 5316, 6582, 8019, 662, 1469, 3046, 4126, 4314, 5365, 6520, 7539, 1067, 1969, 2192, 3665, 4468, 5597, 6956, 7810, 776, 1422, 2394, 3478, 4483, 5496, 7041, 7260, 981, 1833, 3056, 3605, 4284, 5810, 6731, 8167, 153, 1322, 2975, 4124, 5078, 5761, 6393, 7740, 956, 1175, 2293, 4110, 4912, 5944, 6752, 8080, 579, 1150, 2801, 3623, 5115, 5216, 6289, 7602, 715, 1189, 2716, 3792, 4374, 5980, 6672, 7657, 1022, 1306, 2868, 3980, 4191, 5904, 6954, 8245, 344, 1700, 2436, 3191, 5009, 5276, 7068, 7933, 880, 1704, 2349, 4030, 5049, 6012, 6673, 8132, 668, 1564, 2273, 3517, 4647, 6052, 6732, 7522, 1036, 1564, 2440, 4101, 4600, 5352, 6252, 7259, 693, 1742, 2905, 4035, 4310, 5512, 6573, 7420, 1017, 1758, 2636, 4140, 4352, 5620, 6309, 7869, 730, 1884, 2835, 3413, 4539, 5794, 6751, 7480, 662, 1121, 3130, 4007, 4705, 5835, 6546, 7904, 759, 1557, 3029, 4034, 4598, 5835, 7112, 7318, 844, 1309, 2519, 3434, 5007, 5668, 6807, 8137, 308, 1562, 2493, 3945, 4420, 6014, 7207, 7831, 552, 1280, 2959, 3645, 5169, 6051, 7047, 7764, 935, 2065, 2984, 3440, 5104, 6205, 6979, 7720, 935, 2065, 2746, 3982, 5129, 5981, 7201, 7557, 935, 1648, 2926, 4171, 5080, 6182, 7006, 7764, 859, 1845, 2858, 3891, 4888, 5241, 6810, 7723, 617, 1695, 2781, 3795, 4549, 5981, 6809, 8076, 757, 1332, 2746, 3374, 4181, 5296, 6772, 7782, 617, 2127, 2858, 3891, 5060, 5385, 7132, 8216, 617, 2013, 2941, 3391, 4782, 5550, 6901, 7538, 617, 1750, 2858, 4096, 4555, 6182, 7090, 8261, 105, 2106, 2858, 4092, 4398, 5586, 7152, 7723, 617, 1695, 2792, 3407, 4549, 5550, 6996, 8237, 617, 1750, 2775, 4153, 4780, 5219, 7100, 7732, 859, 2002, 3064, 4174, 4387, 5981, 6515, 7716, 555, 1304, 2833, 3680, 4512, 6211, 7152, 8126, 617, 1750, 2775, 4078, 5159, 5580, 6688, 8080, 105, 1147, 3064, 3891, 4762, 5241, 6740, 7838, 859, 1750, 2858, 4068, 4870, 5678, 6794, 7732, 555, 1623, 2970, 3827, 5134, 5635, 6772, 7766, 488, 1648, 2833, 4071, 4704, 5963, 7077, 7715, 142, 2017, 2806, 3825, 4624, 5892, 7226, 8223, 142, 1528, 2806, 3825, 4624, 6139, 7226, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 186, 1648, 2164, 3932, 4798, 5635, 6752, 8223, 617, 1964, 3147, 4145, 5159, 5963, 6810, 7716, 411, 1623, 3147, 3359, 4411, 5563, 6763, 7831, 952, 1971, 2210, 4113, 4181, 6137, 7151, 7317, 318, 1540, 2629, 3487, 4247, 5389, 6551, 7831, 247, 1510, 2348, 3956, 4247, 5843, 6610, 8006, 247, 1999, 2497, 4082, 4364, 5719, 6780, 7362, 826, 1407, 2503, 3798, 5018, 5640, 6403, 7676, 132, 1978, 3046, 4150, 4379, 5701, 6886, 7266, 804, 2063, 2754, 3710, 5159, 6129, 7226, 7723, 1097, 1924, 2946, 3645, 4888, 5911, 7114, 8076, 484, 1791, 3064, 4108, 5061, 5385, 7201, 7806, 579, 1320, 3021, 3827, 4870, 5257, 6948, 8164, 221, 1286, 3004, 3849, 4529, 6166, 6526, 7303, 1020, 2088, 3139, 4017, 4672, 5962, 6393, 8164, 756, 1797, 2163, 3420, 4618, 6205, 6900, 7476, 223, 1707, 2923, 3515, 4607, 5441, 7162, 8205, 986, 2033, 2346, 3936, 4578, 6215, 6273, 7996, 807, 1706, 2543, 3205, 5122, 5810, 6890, 8072, 582, 1116, 2346, 3605, 4945, 5827, 6734, 7724, 1084, 1621, 2751, 3627, 4622, 5899, 7207, 7778, 776, 1545, 2166, 3407, 4983, 5714, 6918, 8067, 488, 1945, 2729, 3886, 4551, 5684, 6604, 8147, 818, 1876, 3008, 3886, 5088, 6137, 6972, 8147, 488, 1528, 2946, 4011, 4624, 6051, 6972, 7876, 488, 1622, 2164, 3893, 5038, 6139, 7207, 8196, 818, 1622, 2806, 4011, 4782, 6081, 6972, 7766, 818, 1648, 3135, 3893, 4622, 5635, 7077, 8267, 488, 1528, 2164, 3893, 5038, 5241, 7207, 8196, 818, 2046, 2957, 4018, 5104, 6129, 6794, 7949, 818, 2017, 3110, 3893, 4624, 6186, 7124, 8267, 818, 1648, 2806, 4011, 5104, 6186, 7124, 8196, 818, 1648, 2914, 3825, 4624, 5635, 7124, 8196, 575, 1854, 3073, 4145, 4592, 5761, 6871, 7727, 448, 2083, 2296, 4106, 4255, 5310, 6284, 7401, 866, 2050, 2149, 3403, 4441, 5432, 7052, 7824, 485, 2124, 2748, 3576, 4462, 5636, 7000, 8007, 584, 1926, 2847, 3421, 4678, 5460, 7016, 8082, 1040, 1799, 2861, 3741, 4274, 5970, 6384, 8264, 988, 1919, 2392, 4024, 4369, 5372, 6384, 7696, 208, 1704, 2173, 3816, 4277, 5915, 7078, 7856, 508, 1615, 2555, 4009, 4607, 5933, 6362, 7355, 1052, 1119, 2671, 4053, 4995, 5799, 6574, 7990, 1084, 1507, 2751, 3766, 4727, 5685, 6723, 7695, 288, 1865, 2326, 4152, 4955, 5963, 6376, 8168, 804, 1475, 2860, 3418, 5145, 5630, 6579, 7629, 952, 1910, 2462, 3697, 4890, 5498, 6623, 7878, 610, 1403, 2761, 4074, 4437, 5298, 7192, 7815, 807, 1782, 2856, 3417, 4882, 6072, 6437, 8140, 807, 1140, 2865, 3570, 4539, 5787, 6399, 7585, 1025, 1116, 2309, 3873, 4945, 5585, 7102, 7726, 610, 1121, 2688, 3960, 4607, 5863, 6280, 8061, 986, 1700, 2556, 3417, 4321, 5995, 6965, 7677, 1090, 1918, 2946, 3995, 4881, 5565, 6840, 7880, 610, 1905, 3144, 3573, 4981, 5474, 6884, 8082, 645, 1118, 2925, 3811, 4364, 5615, 6612, 7707, 844, 2024, 2261, 3581, 5194, 5800, 6883, 7954, 952, 1747, 2925, 3558, 4972, 6217, 6584, 7825, 981, 1906, 3097, 3282, 4364, 5514, 6607, 7776, 1052, 1453, 2166, 3690, 4412, 6215, 7096, 7885, 424, 1675, 2959, 3488, 4201, 5456, 7119, 8044, 104, 1227, 2740, 4145, 5010, 5599, 6604, 7421, 1025, 1773, 3033, 3778, 4609, 6063, 6608, 8267, 610, 1809, 2924, 3469, 4191, 6094, 6648, 8093, 610, 1467, 2348, 3540, 4622, 5981, 6830, 7658, 899, 1978, 3133, 3904, 5020, 6129, 7207, 7913, 240, 2127, 2970, 3550, 4412, 6051, 6719, 7876, 518, 2127, 3133, 3798, 4398, 6129, 7090, 8267, 654, 1750, 3147, 3798, 5007, 5438, 6291, 7677, 228, 2060, 2554, 3470, 4870, 5385, 7232, 7485, 654, 2106, 3133, 3798, 5007, 5767, 6584, 7557, 228, 1452, 2554, 3595, 4870, 6065, 7006, 8266, 518, 1313, 2959, 3227, 5128, 5219, 7207, 8102, 513, 1345, 2221, 4025, 4862, 6137, 6376, 7563, 171, 2106, 3098, 3993, 5079, 6110, 6632, 8266, 1071, 1509, 2493, 4069, 5083, 6195, 6832, 7800, 271, 2070, 2910, 4004, 5100, 6120, 6830, 7531, 344, 1205, 2149, 3614, 5091, 5466, 6722, 7361, 864, 1955, 2750, 3964, 4509, 5668, 7140, 7722, 1024, 1919, 3070, 4054, 5141, 5223, 6677, 7911, 547, 2071, 2465, 3388, 4419, 5557, 6543, 7733, 970, 2107, 2143, 3369, 4829, 5719, 7043, 7748, 970, 1270, 2399, 3538, 4205, 5220, 6366, 7955, 970, 1399, 2965, 3239, 4558, 5671, 6899, 7415, 504, 1897, 2363, 3710, 4995, 5870, 6656, 7951, 678, 1992, 2998, 3231, 4278, 5276, 6533, 7838, 643, 1581, 2679, 3801, 4364, 5856, 6912, 7625, 643, 1664, 2493, 3979, 5085, 6002, 6944, 7965, 970, 1146, 2985, 3231, 4215, 5702, 6271, 7828, 938, 1897, 2363, 3239, 5084, 5690, 6470, 7626, 970, 1489, 2970, 3343, 5155, 5543, 6646, 7458, 663, 1847, 2282, 3478, 5085, 6075, 6953, 7618, 373, 1269, 2652, 3998, 4801, 5205, 6571, 8261, 356, 1833, 2389, 3776, 4773, 5515, 7100, 7806, 956, 1963, 2991, 3226, 4622, 5548, 7084, 7631, 1097, 1998, 2947, 3710, 4888, 5241, 6972, 7766, 617, 1320, 2957, 3994, 4782, 5875, 7168, 8185, 568, 2098, 2953, 4093, 4622, 5363, 6768, 7881, 757, 1851, 2943, 4168, 5077, 6180, 6787, 7795, 356, 2111, 2783, 3543, 5052, 5865, 6431, 7885, 223, 1797, 2238, 3593, 4829, 5344, 6338, 7255, 299, 1510, 2411, 3513, 4364, 6107, 6494, 7451, 104, 1397, 3091, 3669, 4531, 5982, 6556, 8078, 804, 1529, 2946, 3232, 5193, 5325, 6992, 7488, 390, 1198, 2554, 3426, 4852, 5780, 7095, 8085, 308, 1218, 2582, 3886, 4980, 5630, 7084, 7664, 272, 1550, 3101, 3977, 4881, 6160, 6522, 8083, 572, 1553, 2426, 4162, 5042, 5310, 7220, 8082, 462, 1550, 2544, 3741, 4934, 5587, 6601, 7896, 137, 1808, 3074, 4162, 4664, 5341, 6821, 7558, 1019, 1472, 2470, 4030, 4594, 5656, 6663, 7737, 407, 1951, 2429, 3967, 4648, 5384, 6260, 7488, 1017, 1881, 2751, 4017, 4485, 5640, 6850, 8253, 1030, 1817, 2486, 3900, 4351, 5574, 6732, 7599, 1001, 1509, 2810, 3749, 4345, 6119, 6799, 7337, 427, 1867, 2163, 3870, 4226, 5641, 6737, 7906, 510, 1309, 3008, 3848, 4289, 5614, 7049, 8047, 859, 1963, 2293, 4113, 4573, 5385, 6576, 7421, 901, 2030, 2167, 3582, 5148, 5710, 7168, 7501, 390, 1304, 2989, 4102, 4276, 5436, 7222, 8179, 981, 1507, 2975, 4035, 4629, 5784, 6740, 7804, 730, 2059, 2349, 3756, 5095, 6009, 6663, 8180, 693, 1865, 2778, 3499, 4593, 5610, 6994, 7978, 1038, 1769, 2891, 4025, 4465, 5513, 6874, 7978, 888, 1876, 2905, 3700, 4938, 5918, 6282, 8041, 1038, 1886, 2196, 3678, 4796, 5950, 6348, 7480, 235, 1742, 2564, 3390, 4756, 6118, 6748, 7785, 876, 1108, 2796, 4008, 4992, 5652, 6834, 7423, 91, 1616, 2261, 3165, 4604, 5574, 6634, 7675, 575, 2076, 2741, 4082, 4197, 5790, 6959, 8154, 371, 1858, 2455, 3219, 5050, 5541, 6481, 7826, 709, 1507, 2740, 4011, 4861, 5525, 6507, 7542, 552, 1540, 3109, 3649, 4323, 5385, 7085, 7831, 1097, 2065, 3109, 3994, 4792, 5204, 6774, 8083, 488, 1475, 3064, 3891, 4704, 6182, 6774, 7723, 142, 1528, 2391, 3825, 4704, 6186, 7077, 7764, 818, 2017, 2781, 3893, 4624, 5901, 7218, 7806, 818, 2017, 2164, 3893, 4888, 6186, 7226, 7876, 818, 2017, 2914, 3893, 4888, 5635, 7226, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 26, 5, 43, 14, 30, 5, 43, 35, 5, 42, 63, 39, 75, 5, 30, 17, 42, 5, 16, 53, 45, 30, 64, 66, 5, 43, 35, 5, 57, 54, 5, 62, 48, 62, 16, 52, 5, 16, 54, 30, 5, 53, 26, 54, 3, 945, 1528, 3064, 4071, 4704, 6211, 6604, 8147, 555, 1851, 2941, 3391, 4583, 5550, 7207, 8236, 256, 1108, 3137, 3391, 5143, 5811, 6800, 8266, 1006, 1426, 2429, 4147, 4267, 5862, 6472, 7410, 502, 1682, 3049, 4051, 4723, 5691, 6442, 7365, 793, 2105, 2189, 3287, 4364, 5585, 6973, 8115, 673, 1489, 2251, 3811, 4636, 5731, 7079, 7685, 974, 1108, 2751, 4173, 4183, 5825, 6626, 8150, 952, 1108, 2918, 3302, 4816, 5479, 7066, 7645, 870, 1308, 3029, 3794, 5040, 5717, 7145, 7376, 217, 1210, 2303, 4035, 4878, 6177, 7159, 7637, 820, 2085, 2672, 3424, 4183, 6147, 6538, 7913, 1049, 1597, 2466, 3208, 4225, 5840, 6430, 8193, 952, 1552, 2946, 4085, 5085, 5419, 6749, 8194, 569, 2127, 2593, 4067, 4923, 5644, 7048, 7474, 666, 1684, 2980, 3301, 4495, 6002, 6533, 7467, 247, 1867, 2944, 3413, 4437, 5213, 6532, 8096, 739, 1397, 2465, 3244, 4898, 5407, 6917, 8161, 739, 1349, 2653, 3700, 5188, 5869, 6383, 7789, 793, 1794, 2605, 3486, 5188, 5810, 6687, 7725, 793, 1434, 2579, 3403, 4825, 5819, 6267, 7937, 1052, 1862, 3013, 3666, 4650, 5495, 6318, 8203, 319, 1349, 2697, 3329, 4546, 6016, 6893, 7902, 256, 1747, 2361, 3955, 4912, 5581, 6998, 8123, 105, 1356, 2542, 3886, 4551, 5535, 7132, 8093, 317, 1623, 2473, 3535, 4229, 5911, 6639, 8128, 901, 1164, 2944, 3931, 4667, 5393, 6584, 7618, 410, 1331, 2897, 3960, 4526, 5223, 6909, 7945, 319, 1881, 2210, 4028, 4732, 5993, 6443, 8161, 614, 1918, 2607, 3928, 4690, 6111, 6881, 8149, 113, 1821, 2788, 3487, 4364, 5444, 6967, 7816, 761, 1557, 2800, 3472, 5150, 6148, 6840, 7379, 895, 1674, 2436, 3802, 4711, 6101, 6918, 8221, 875, 1826, 2154, 3410, 4352, 5665, 6960, 8219, 465, 1397, 2846, 3472, 4594, 5443, 6775, 7849, 150, 2048, 2188, 3986, 4683, 6218, 6592, 8211, 1066, 1294, 2282, 3410, 4604, 6220, 7118, 7724, 1025, 2061, 2868, 3169, 5120, 5405, 6566, 7442, 610, 1838, 2868, 4070, 4354, 5565, 7157, 8030, 684, 1771, 3150, 4068, 4287, 6070, 6972, 8080, 684, 2107, 2989, 3803, 4822, 5534, 6734, 7557, 510, 2046, 3007, 3671, 4980, 5241, 6515, 8107, 308, 1791, 2730, 3918, 5080, 6195, 7010, 8083, 804, 1933, 2783, 4027, 5104, 5705, 7084, 7876, 508, 1194, 2549, 3218, 5141, 5847, 6272, 8052, 1089, 1880, 2818, 3314, 4585, 5379, 7186, 7701, 160, 1906, 2654, 3701, 4780, 5300, 6609, 8098, 319, 1458, 3089, 4064, 5124, 5844, 7186, 7946, 443, 1747, 2222, 3316, 4751, 5993, 6795, 7902, 443, 1770, 2727, 4153, 4517, 5209, 6878, 7834, 299, 1294, 2190, 4032, 5196, 5954, 6854, 7462, 299, 1239, 2511, 3475, 5154, 5513, 6662, 7538, 536, 1742, 2400, 4160, 4804, 5587, 6872, 7824, 664, 1742, 3033, 4094, 4352, 5608, 6800, 7909, 664, 1510, 2232, 3234, 4434, 5466, 6823, 7986, 137, 1808, 2897, 3928, 4334, 5454, 7144, 7831, 137, 1808, 2210, 3666, 5097, 5341, 6644, 7804, 807, 1296, 2491, 4007, 4644, 6076, 6687, 7841, 807, 1296, 2346, 3475, 4788, 5642, 6894, 7549, 807, 1296, 2346, 4007, 4788, 5665, 6308, 7799, 807, 1296, 2346, 4007, 4459, 5384, 7094, 7542, 807, 1296, 2346, 4007, 4311, 5423, 6377, 8039, 807, 1523, 2751, 3167, 4934, 5773, 7229, 8128, 536, 1550, 2751, 3279, 4525, 5574, 7229, 7784, 536, 1550, 2389, 3741, 4311, 5443, 6883, 7967, 462, 1550, 2751, 3943, 4694, 5301, 7198, 8265, 465, 2053, 2327, 3769, 4541, 5993, 6224, 7660, 443, 1570, 2751, 3363, 5073, 5886, 6749, 8169, 1040, 1842, 2867, 3746, 5148, 5737, 6687, 8263, 487, 2055, 2656, 3417, 4321, 5681, 6856, 8188, 993, 1434, 2429, 3592, 4982, 5325, 6904, 7797, 610, 1796, 2163, 4150, 4350, 6001, 7195, 7962, 390, 1125, 2860, 3873, 4983, 5761, 6607, 7279, 1056, 1675, 3095, 3540, 4398, 5723, 6668, 7865, 308, 2000, 2473, 3555, 4925, 6195, 7162, 7821, 684, 2046, 3006, 4166, 4822, 5832, 7111, 7421, 804, 1660, 3144, 4068, 4181, 6195, 6752, 7641, 1056, 2125, 3144, 3188, 4551, 5832, 7162, 7485, 288, 1467, 2582, 3866, 5115, 5942, 6979, 7876, 405, 1467, 2980, 4026, 4551, 6146, 7129, 8083, 535, 1597, 2282, 3205, 4386, 5311, 6860, 7607, 535, 1320, 2271, 3979, 4574, 5333, 6413, 7602, 723, 1762, 2693, 4123, 5022, 6002, 6383, 7574, 664, 1679, 3130, 4121, 4506, 6002, 6762, 7276, 774, 1630, 2173, 3585, 4709, 6002, 6772, 7923, 1050, 1199, 2520, 4007, 4934, 5233, 6570, 7644, 494, 1988, 2642, 3526, 5108, 5867, 6267, 8257, 508, 1850, 3074, 3926, 4966, 5875, 6494, 7623, 344, 1129, 2670, 3187, 4545, 5518, 7229, 8173, 344, 1721, 2173, 3524, 4274, 6070, 6358, 8263, 887, 1299, 3040, 4007, 4494, 5709, 6347, 7395, 887, 1299, 2559, 3855, 4881, 5615, 6856, 7811, 955, 2079, 2729, 3891, 4439, 5219, 6605, 8184, 211, 1146, 2401, 4005, 4782, 6025, 6709, 7547, 211, 1993, 3064, 4150, 4861, 5968, 6996, 7498, 175, 1817, 3106, 4095, 4483, 5393, 6856, 7680, 344, 1210, 2610, 3770, 4850, 5657, 6837, 7927, 994, 1167, 2346, 3238, 4345, 6194, 6871, 7525, 1078, 1826, 2956, 3491, 5114, 5574, 6413, 7277, 428, 1828, 2369, 3585, 4683, 5507, 7108, 7850, 895, 1301, 2495, 3239, 4283, 5583, 6335, 7622, 104, 1717, 2794, 3314, 4626, 5643, 6580, 7558, 1090, 2033, 2429, 3978, 4780, 5586, 6270, 7376, 104, 1717, 2282, 3605, 4831, 5523, 7012, 7902, 160, 1914, 2282, 3870, 4665, 5704, 6399, 7829, 1025, 1462, 2429, 3917, 5100, 5713, 6982, 7329, 1025, 1797, 2282, 3937, 4179, 5438, 7215, 7736, 160, 1553, 2311, 3922, 5042, 6132, 6934, 7962, 826, 1858, 2401, 3605, 4586, 5898, 6235, 7538, 1101, 2055, 2868, 3575, 4762, 5609, 7157, 8236, 526, 1820, 3013, 3398, 4982, 5640, 6313, 7577, 884, 1708, 2327, 3666, 4350, 5631, 6708, 7932, 807, 1494, 2656, 3446, 4872, 5706, 6536, 7519, 807, 1635, 2897, 3341, 5138, 6213, 6448, 7873, 691, 2039, 2830, 4143, 4665, 6148, 6346, 7996, 804, 1915, 2210, 4067, 5120, 5684, 6901, 7440, 956, 1675, 2980, 3803, 5058, 6051, 6852, 7959, 935, 2046, 2803, 4145, 4870, 6137, 6668, 8267, 475, 1721, 2971, 3470, 5166, 6129, 6671, 7602, 654, 1452, 2370, 4089, 4411, 6097, 6789, 7559, 824, 1652, 2491, 3320, 4192, 6057, 6772, 7774, 195, 1938, 2944, 3470, 5079, 5761, 6291, 8057, 195, 2118, 2918, 3994, 5112, 6166, 6850, 8191, 228, 1684, 2542, 4168, 5104, 6110, 6939, 7473, 256, 1851, 2332, 3886, 5166, 5998, 6883, 7631, 240, 1525, 2718, 4174, 5104, 6110, 6604, 7716, 518, 1750, 2970, 3470, 5088, 5624, 6668, 8262, 568, 1961, 2356, 4168, 5129, 5689, 7201, 8080, 568, 2078, 2970, 3900, 5164, 5296, 6615, 7664, 153, 2118, 2924, 3951, 4214, 5350, 6525, 8193, 752, 1557, 3038, 3185, 4216, 5892, 7207, 8088, 492, 1327, 2487, 3994, 4226, 5918, 6918, 8092, 876, 1296, 2429, 3965, 4364, 6217, 6964, 7906, 458, 1296, 2429, 4072, 4419, 5665, 6935, 7772, 123, 1850, 3074, 4038, 4739, 5604, 6778, 7983, 536, 1239, 3074, 3167, 5124, 6082, 7127, 8086, 536, 1239, 2815, 3764, 4483, 5512, 6869, 7515, 299, 1479, 2815, 4079, 4448, 5771, 6748, 8189, 299, 1512, 2847, 3963, 5086, 5965, 6662, 7997, 536, 1239, 2511, 3915, 4538, 5347, 6964, 7558, 536, 2004, 2589, 3986, 4807, 5703, 6308, 7676, 277, 1808, 2850, 3923, 5042, 5341, 6872, 7378, 137, 1296, 2196, 3679, 4930, 5804, 6838, 8259, 137, 1582, 3069, 3937, 4381, 5454, 6267, 7736, 137, 1828, 2737, 3759, 4815, 5347, 6315, 7488, 113, 1926, 2951, 3773, 4842, 6077, 6413, 7746, 993, 2050, 2892, 3972, 4604, 5320, 6525, 8061, 993, 2035, 2173, 3972, 4361, 6118, 6650, 8132, 993, 2035, 2506, 3791, 4635, 5474, 6661, 7796, 1029, 1428, 2506, 3868, 4451, 5803, 7025, 7558, 104, 1167, 3060, 3967, 4477, 5984, 6601, 7618, 299, 2079, 2390, 3167, 4407, 5470, 7135, 7854, 150, 2053, 2958, 4037, 5193, 5623, 7158, 7572, 610, 1499, 2282, 3771, 4536, 5661, 7168, 7688, 1025, 1797, 2515, 4011, 4942, 5320, 6605, 7687, 643, 1982, 2881, 3796, 4510, 5750, 6852, 8205, 1090, 2033, 2716, 3978, 4910, 6084, 6430, 7658, 887, 1717, 3135, 3932, 4822, 6195, 6771, 7876, 1090, 1721, 2797, 3201, 5153, 6063, 6850, 7570, 779, 2079, 3038, 3918, 4700, 6103, 6776, 7876, 956, 1945, 3098, 3982, 5058, 6085, 7084, 7641, 956, 2068, 3007, 3886, 5058, 6103, 7006, 8237, 804, 1620, 2730, 3886, 5139, 6181, 7132, 7631, 956, 1998, 2803, 3990, 4630, 6139, 6972, 7782, 857, 1886, 2244, 3645, 5166, 5684, 6604, 7717, 757, 1421, 2912, 3918, 4872, 5873, 7180, 7317, 952, 1782, 2833, 3337, 4225, 5574, 7224, 7753, 487, 1144, 2655, 4131, 4384, 5443, 6663, 7868, 487, 2008, 2352, 3446, 4604, 5500, 7118, 8180, 487, 1674, 2836, 3653, 4225, 5643, 6663, 7775, 487, 1674, 2701, 3356, 4819, 5441, 6566, 7702, 487, 1915, 2942, 3605, 4428, 5341, 6225, 7810, 610, 1561, 2282, 3195, 4604, 5965, 6574, 8227, 684, 1881, 2943, 3732, 4764, 6205, 6649, 7303, 1099, 1660, 2946, 4108, 4912, 5635, 7152, 7948, 186, 2001, 3110, 3803, 4622, 6051, 6988, 8237, 914, 1915, 2781, 4093, 5058, 5241, 7111, 8260, 1099, 1791, 3008, 4174, 4888, 5635, 7201, 8076, 510, 1791, 3008, 4114, 4551, 6051, 7239, 7421, 405, 1175, 2352, 4108, 4713, 5883, 7090, 8266, 767, 1386, 2345, 3866, 5144, 5917, 6840, 7770, 864, 1233, 2860, 3262, 5114, 6070, 6811, 8037, 1023, 1199, 3036, 3288, 4808, 6122, 6754, 7933, 840, 1926, 2368, 3489, 5169, 5476, 6743, 7527, 271, 2050, 2766, 3239, 4834, 6061, 6995, 7685, 150, 1740, 2712, 3897, 4474, 5719, 6842, 7583, 504, 1926, 2348, 3695, 4364, 5700, 6628, 7375, 952, 1926, 3126, 3233, 4185, 5925, 6352, 8254, 845, 2117, 2296, 4010, 4369, 5454, 7167, 7515, 492, 1524, 2956, 3198, 4672, 5381, 7064, 7378, 966, 1402, 2173, 3920, 4464, 5512, 6795, 7681, 462, 1301, 3074, 4007, 4274, 5526, 6662, 8149, 910, 1735, 3031, 3187, 4274, 5244, 6789, 7375, 640, 2011, 2662, 3386, 4732, 5370, 7140, 7492, 313, 2009, 2759, 3742, 4794, 5983, 6334, 7984, 271, 1938, 2956, 3386, 4399, 5828, 6691, 7536, 465, 1548, 3097, 3503, 4449, 6126, 6905, 7567, 504, 1716, 2995, 3533, 5069, 5872, 7083, 8017, 1025, 1496, 2583, 3486, 4635, 5454, 6717, 7487, 643, 1227, 2553, 3361, 4670, 5586, 7111, 7290, 887, 1227, 2746, 3533, 4470, 5834, 6810, 7557, 1081, 1306, 2292, 3285, 4672, 6204, 6265, 7811, 610, 1499, 2980, 3201, 4859, 5960, 7010, 7557, 610, 2055, 2803, 3540, 4440, 5978, 6885, 7753, 610, 1676, 2989, 3823, 4583, 5204, 6579, 7806, 568, 1931, 2464, 4082, 5124, 6148, 6853, 7360, 274, 1821, 2346, 3332, 4494, 5606, 6865, 8117, 405, 2107, 2798, 3394, 4318, 6119, 6688, 7761, 1097, 2065, 2960, 3710, 4775, 5863, 6756, 7627, 1099, 1991, 2947, 4097, 4792, 5568, 6786, 7895, 1097, 1945, 2960, 3803, 5159, 6103, 7084, 7723, 684, 1508, 2943, 3914, 4630, 5883, 7006, 7887, 1056, 1945, 3098, 4011, 4470, 6103, 6630, 7948, 390, 1563, 2924, 3671, 4343, 6103, 6551, 7918, 160, 1670, 3022, 3776, 4592, 5586, 6850, 8245, 318, 1763, 2911, 3885, 5183, 5824, 6668, 8093, 1033, 1454, 2533, 3293, 4982, 5761, 7100, 7339, 731, 1543, 3150, 3631, 4538, 6191, 7019, 8069, 223, 1812, 2315, 3416, 5083, 5534, 7149, 7996, 650, 1543, 2508, 3873, 4644, 6051, 6566, 8012, 752, 1924, 2250, 4027, 5088, 5438, 7149, 7256, 1029, 1773, 2274, 3521, 4700, 5610, 6829, 7676, 840, 2050, 2371, 3791, 4429, 5600, 6955, 7997, 840, 1183, 2234, 3988, 4684, 5881, 6695, 7954, 508, 1630, 2680, 3847, 5001, 5540, 7144, 7456, 508, 2009, 2274, 3737, 4455, 5280, 6788, 8128, 508, 2009, 2359, 4146, 4585, 5466, 7228, 7673, 508, 1494, 2995, 4017, 4865, 6060, 6474, 7729, 100, 1682, 2680, 3967, 4953, 5442, 6735, 7792, 1005, 1183, 2889, 3962, 4687, 5597, 6592, 8137, 271, 1183, 2728, 4164, 4539, 6152, 6693, 7646, 319, 1915, 3041, 3967, 4374, 6009, 7245, 7997, 1084, 1675, 2791, 4007, 4781, 5954, 6315, 8089, 776, 1139, 2612, 4151, 4812, 5641, 7229, 7674, 981, 1132, 2250, 3819, 4364, 5432, 6775, 8252, 995, 1494, 3058, 3570, 4612, 5570, 6735, 7834, 1057, 1286, 2902, 3900, 4834, 5496, 6800, 7962, 691, 1286, 3028, 3766, 4350, 5454, 6651, 7435, 952, 1461, 2468, 3428, 4604, 6101, 6723, 7750, 139, 2052, 3101, 3751, 4364, 5346, 6439, 7995, 103, 1684, 2136, 3751, 4919, 5580, 6807, 8120, 103, 1545, 2839, 3751, 4597, 6076, 7025, 7462, 103, 1175, 2656, 3866, 4925, 5665, 7232, 7689, 678, 1269, 3116, 3282, 4437, 6022, 6563, 7577, 663, 2095, 2429, 4071, 5143, 6131, 6603, 8126, 678, 1992, 2582, 3892, 4834, 5414, 7198, 7607, 678, 1455, 2586, 3981, 4925, 5767, 7207, 7658, 678, 2094, 2946, 3917, 4586, 6128, 6900, 8267, 951, 1845, 3033, 3521, 4896, 5317, 6589, 7951, 951, 1821, 2391, 4145, 4533, 5899, 7084, 7717, 692, 1496, 2455, 4162, 5118, 6160, 7197, 7515, 938, 1349, 3011, 3835, 4289, 5819, 6348, 8092, 1011, 1349, 3007, 3880, 4766, 5557, 6587, 7816, 940, 1424, 2820, 3231, 4241, 5821, 7149, 7261, 935, 1847, 2636, 3891, 5106, 6058, 6630, 8085, 818, 2111, 2970, 3188, 4551, 6123, 6755, 7948, 142, 1528, 2991, 3825, 4888, 6085, 6794, 8260, 488, 2017, 2914, 3188, 4624, 5635, 7201, 8223, 818, 1648, 2914, 3893, 4798, 6085, 6996, 8147, 555, 2111, 2858, 4006, 4870, 6085, 7098, 7717, 617, 1695, 2792, 3564, 4549, 5767, 6772, 7831, 105, 2002, 2138, 3348, 4214, 5678, 6604, 7664, 617, 1695, 3062, 3891, 5079, 5811, 6772, 8236, 617, 1496, 3062, 3827, 4555, 5515, 7152, 8101, 617, 1496, 2976, 3993, 5160, 6101, 6584, 7906, 4, 2 ]

[ 1, 16, 54, 30, 5, 43, 57, 52, 30, 44, 55, 5, 31, 16, 5, 62, 39, 62, 35, 5, 51, 52, 57, 64, 5, 66, 73, 5, 43, 45, 78, 5, 26, 78, 5, 63, 33, 30, 5, 16, 52, 23, 30, 5, 64, 52, 57, 52, 47, 3, 150, 1255, 3101, 4096, 5029, 5250, 7052, 7957, 304, 1721, 2515, 3340, 4484, 5481, 6769, 8260, 804, 1175, 2895, 3671, 4536, 5630, 7129, 7641, 857, 1320, 2792, 3710, 5164, 6129, 7220, 7427, 390, 1510, 2520, 3564, 4872, 5968, 6565, 7488, 211, 2065, 3150, 3680, 5088, 5385, 6740, 8140, 844, 1503, 3080, 3962, 5187, 6028, 7184, 7693, 776, 1503, 2730, 3748, 5148, 5840, 7048, 8264, 160, 1468, 3060, 4081, 4306, 5321, 6922, 8016, 277, 1572, 2307, 3869, 4195, 5255, 7129, 8091, 778, 1469, 2993, 3384, 4229, 5750, 6224, 7312, 1033, 1469, 2513, 3822, 5062, 6002, 6725, 7931, 887, 1988, 2721, 3492, 4339, 5512, 7230, 8263, 887, 1469, 2589, 3575, 5183, 5315, 6651, 8117, 104, 1440, 2353, 4081, 5085, 5710, 6348, 8015, 104, 1440, 2353, 4081, 5108, 6175, 7241, 7965, 643, 1808, 2562, 3656, 5052, 6014, 6579, 7725, 1090, 1721, 2659, 4150, 5183, 5315, 7048, 8266, 645, 1721, 3149, 4150, 4918, 5590, 6612, 7383, 645, 1721, 3149, 4150, 4873, 5320, 7086, 8132, 887, 1141, 2137, 3877, 4651, 5706, 6262, 8241, 887, 1510, 2389, 3832, 4541, 5615, 6650, 7415, 887, 1388, 2448, 3417, 4586, 5512, 6947, 7468, 887, 1141, 2595, 4079, 4603, 5478, 6908, 8185, 955, 2079, 2440, 4030, 4318, 5532, 7158, 8006, 610, 1809, 2444, 3472, 4665, 5769, 7037, 8188, 1081, 1238, 2783, 3410, 5165, 5210, 7023, 7941, 887, 2056, 2783, 3307, 4440, 5573, 6684, 7641, 887, 1717, 2946, 3842, 5088, 5705, 7007, 8132, 1090, 1721, 2678, 4011, 4852, 5844, 7218, 7957, 804, 1407, 2340, 3826, 5104, 6103, 7149, 8213, 373, 1682, 2282, 3253, 5130, 5979, 7244, 8162, 386, 1682, 2725, 3740, 5011, 5766, 6761, 7991, 1090, 1770, 2678, 4127, 4267, 5738, 6535, 7576, 860, 1943, 2838, 3226, 4704, 5630, 6786, 7706, 488, 1791, 3043, 4114, 4287, 5705, 7006, 7949, 818, 2046, 2957, 4018, 4704, 5832, 7201, 7766, 818, 1622, 3135, 3893, 4888, 5883, 7077, 7949, 935, 1998, 2838, 3990, 4287, 5883, 6786, 7485, 579, 1320, 2551, 3361, 4265, 5221, 7129, 7421, 390, 1930, 2360, 3391, 4529, 5678, 6726, 7631, 160, 1206, 2492, 3443, 4525, 6208, 7183, 7577, 807, 2034, 2258, 3764, 4501, 5325, 6263, 7873, 807, 1211, 2346, 3363, 4539, 5435, 7086, 7773, 807, 1614, 2346, 3714, 4969, 5706, 6840, 7401, 271, 1550, 2607, 4147, 4995, 5366, 6976, 8045, 103, 1489, 2129, 3208, 4255, 5276, 6383, 8031, 645, 1449, 2729, 4085, 4241, 5844, 7173, 7476, 818, 2064, 2729, 3732, 4895, 5500, 6604, 7918, 1097, 1218, 2991, 4145, 4681, 5630, 7207, 7948, 956, 1791, 3021, 4011, 4822, 6195, 7201, 8147, 1015, 1998, 2988, 4068, 4287, 6085, 6713, 7716, 153, 1700, 3092, 3732, 4925, 5944, 6443, 7652, 223, 1141, 2293, 3776, 4593, 5892, 6566, 7500, 784, 1421, 2905, 3560, 4529, 6114, 6235, 7532, 1101, 1630, 2511, 3434, 4562, 5526, 7183, 7319, 123, 2009, 2329, 3585, 4382, 5370, 6382, 7617, 360, 1794, 2329, 3585, 5101, 5889, 6564, 7248, 876, 1171, 2905, 3585, 4214, 5960, 6842, 7657, 150, 1189, 2378, 4010, 4382, 5605, 6306, 7367, 888, 1302, 2548, 3238, 4352, 5441, 6522, 7693, 725, 1876, 2726, 3687, 5122, 5482, 6700, 8210, 504, 1876, 2926, 3754, 4788, 5291, 7136, 7498, 643, 1876, 2313, 3669, 4334, 5814, 6591, 8061, 1081, 1758, 2321, 3533, 4179, 6195, 7207, 7870, 1099, 1874, 2947, 4011, 5157, 5767, 7098, 7591, 956, 1804, 2444, 3990, 4583, 5219, 7084, 7949, 142, 1804, 3135, 3982, 4888, 6103, 7226, 7806, 488, 2017, 2914, 3893, 4630, 6186, 6972, 7766, 818, 1998, 2803, 3893, 5061, 6129, 7201, 7766, 935, 2017, 2991, 3866, 5061, 5635, 7218, 8223, 935, 2041, 2806, 3226, 4583, 6195, 7077, 8237, 485, 1855, 2664, 4024, 5144, 5607, 6346, 7262, 1094, 1565, 2710, 3817, 4854, 5206, 7079, 7864, 1015, 1600, 2683, 3600, 4282, 6149, 6810, 8036, 617, 1974, 2359, 3350, 4877, 5890, 6762, 8126, 484, 2078, 3007, 4171, 5138, 5515, 7132, 8080, 401, 1945, 2659, 4166, 4470, 6103, 7100, 8237, 160, 1898, 2288, 3472, 4859, 5890, 6331, 7671, 331, 1660, 2655, 3798, 5164, 5982, 6234, 7992, 1052, 1655, 2146, 3592, 4942, 5774, 6603, 8214, 1052, 1463, 2867, 3728, 4218, 5555, 6592, 7913, 1071, 1825, 3054, 3631, 4807, 5874, 6442, 8006, 610, 1499, 2554, 3470, 4780, 5613, 6413, 7729, 401, 1943, 2730, 3704, 5145, 6070, 6871, 8047, 288, 1499, 3026, 4171, 5104, 5493, 6708, 8130, 171, 1206, 2808, 4011, 4980, 5493, 6566, 8034, 757, 1139, 2381, 3550, 4538, 6016, 7201, 7971, 568, 2002, 3026, 3751, 4571, 5677, 6979, 7410, 225, 1510, 2791, 4092, 4638, 6170, 6856, 8022, 225, 2002, 3028, 3795, 4790, 5942, 7224, 7677, 225, 1789, 2941, 3662, 5075, 5837, 6753, 7383, 228, 1468, 2941, 3374, 4859, 6175, 7232, 7865, 789, 2078, 2858, 4113, 4555, 5624, 7160, 7303, 419, 1426, 2897, 3374, 4184, 5981, 6889, 8076, 555, 1468, 2473, 3407, 5159, 6205, 6740, 8126, 789, 1345, 2806, 3407, 4716, 6175, 6604, 8237, 874, 1706, 2683, 3424, 5143, 5580, 6840, 8070, 356, 1373, 2858, 3983, 5120, 5381, 6776, 8150, 731, 1662, 3098, 3720, 4877, 5223, 6988, 8066, 716, 1770, 2678, 3245, 4764, 5693, 7086, 7549, 1047, 1770, 2998, 3488, 4816, 5475, 7016, 7453, 537, 1318, 2133, 3325, 4801, 6149, 7237, 7264, 304, 1175, 2998, 4114, 4470, 5634, 7023, 7887, 391, 1559, 2925, 3776, 5005, 5380, 6998, 8236, 392, 1972, 2242, 3865, 4248, 5678, 7227, 7428, 611, 1531, 2990, 3731, 5179, 5492, 6532, 8070, 1098, 1826, 2327, 3991, 5179, 6016, 6405, 7515, 722, 1636, 2867, 3610, 4397, 6178, 7154, 7891, 653, 1637, 2940, 3485, 4267, 5294, 6327, 7728, 1014, 1305, 2561, 3261, 4855, 5993, 6745, 7675, 576, 2009, 2959, 3936, 4840, 6029, 6674, 8188, 576, 1797, 2959, 3769, 4675, 5880, 6663, 7776, 115, 1826, 2238, 3838, 5080, 6118, 6624, 8227, 160, 1624, 2331, 4078, 5072, 5422, 6958, 7927, 1029, 1302, 2282, 3484, 4893, 6052, 6614, 7572, 1036, 1509, 2460, 3965, 4181, 5603, 7118, 7759, 314, 1735, 2408, 3992, 4776, 5409, 6716, 7510, 725, 1529, 2887, 4061, 5124, 5356, 6978, 7423, 1067, 1345, 2861, 3366, 4831, 5408, 6777, 7587, 895, 1529, 2330, 3814, 4905, 6167, 7240, 7469, 1101, 2035, 2250, 3690, 4661, 5732, 7115, 7862, 725, 1183, 2823, 3689, 4969, 5617, 6509, 7426, 840, 1183, 2635, 4173, 4246, 5567, 6279, 7983, 1101, 1720, 2505, 3979, 4306, 6153, 6324, 7983, 725, 2101, 2260, 3416, 4372, 5562, 6962, 7579, 465, 2120, 2497, 3224, 4723, 5299, 6354, 7622, 1101, 1904, 3020, 3635, 4364, 6065, 6909, 8178, 884, 1151, 2282, 3975, 4189, 5978, 6472, 7833, 725, 1805, 3033, 3737, 4351, 5512, 6318, 8095, 840, 1631, 3033, 3572, 5094, 6002, 6304, 7288, 840, 1283, 2419, 3270, 4911, 6083, 6269, 7962, 487, 1189, 2751, 3261, 4708, 5745, 7181, 8040, 884, 1653, 2448, 4150, 5001, 5796, 6224, 7881, 271, 1951, 2727, 3341, 4717, 5526, 7157, 7776, 807, 1441, 2210, 3485, 4539, 6073, 7043, 7892, 1101, 2048, 2210, 3517, 5117, 5347, 6413, 7669, 1029, 1570, 2282, 3751, 4363, 5870, 6947, 8187, 887, 1570, 2282, 3167, 5042, 5224, 6560, 7736, 1014, 2053, 2559, 3769, 5088, 5706, 6484, 8259, 1014, 1468, 2480, 3798, 4539, 5611, 6879, 7313, 518, 1853, 2565, 3749, 4352, 6034, 6965, 7312, 518, 1756, 3032, 3227, 4592, 5840, 7024, 7476, 228, 1286, 2293, 3394, 5168, 5825, 6740, 8262, 859, 2118, 2918, 3798, 5157, 5802, 6980, 8150, 555, 2061, 2833, 3470, 5190, 6117, 7168, 8179, 201, 2017, 2833, 3914, 5166, 5677, 7124, 8147, 818, 2017, 2806, 3825, 4888, 5677, 6794, 8196, 105, 1684, 3021, 3914, 4512, 6195, 6604, 7485, 859, 1974, 2833, 3391, 4583, 5630, 7201, 7641, 617, 1695, 3062, 3914, 4877, 5981, 6723, 7865, 617, 1695, 3062, 4006, 4681, 6149, 6589, 8237, 617, 1147, 2858, 3550, 5190, 5438, 6899, 7750, 617, 2013, 3144, 3799, 4555, 5960, 7085, 7717, 617, 1147, 3064, 4149, 4622, 5218, 6840, 7485, 617, 1750, 2454, 3879, 4877, 5385, 6840, 7831, 105, 1570, 2469, 3857, 4214, 5873, 6589, 8147, 617, 1750, 2833, 3931, 4696, 5580, 6338, 8237, 859, 2002, 2970, 4071, 4214, 5677, 6291, 8080, 105, 2106, 2833, 4068, 4790, 5503, 7069, 7715, 105, 1147, 2833, 3879, 4704, 5385, 7019, 7563, 859, 1684, 2454, 3374, 5159, 6149, 6740, 7732, 105, 1750, 2833, 3827, 4696, 5689, 6809, 7476, 859, 1750, 2970, 3827, 4870, 5811, 7019, 8164, 859, 1684, 2858, 4166, 4877, 6175, 6291, 8237, 186, 1147, 2833, 3825, 4624, 5811, 7207, 8237, 186, 1684, 2164, 3994, 4798, 5635, 6604, 7732, 186, 2017, 2164, 3277, 4624, 6081, 7120, 7723, 488, 2032, 2806, 4068, 4624, 6139, 6589, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6996, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2914, 3893, 4366, 6139, 7077, 8196, 510, 1869, 3065, 4166, 5104, 5883, 7239, 7948, 335, 1982, 2945, 3909, 4651, 6205, 6589, 7631, 650, 1647, 2577, 3733, 4852, 5614, 6714, 7895, 776, 1771, 3115, 3975, 4781, 5802, 6607, 8252, 776, 1978, 2381, 3540, 4955, 5245, 6719, 7948, 304, 1933, 2244, 3987, 4215, 5534, 7132, 8237, 390, 1881, 2293, 4152, 5183, 6182, 6331, 8080, 955, 1620, 3006, 4152, 4589, 5573, 6967, 7720, 113, 1736, 3061, 4027, 4780, 5279, 6778, 8209, 993, 1294, 3075, 3162, 4374, 5289, 6958, 8122, 737, 1604, 3085, 3425, 4189, 5339, 7053, 7646, 1004, 1826, 2479, 3997, 4800, 5291, 6434, 8197, 632, 1826, 2897, 3485, 4697, 6118, 7021, 7457, 737, 2099, 2625, 3464, 4602, 6063, 7229, 8203, 271, 1951, 2439, 3329, 4481, 6010, 6301, 7997, 266, 1400, 2462, 3429, 5031, 5887, 6955, 7765, 1101, 1778, 2881, 3924, 4176, 5370, 6727, 7854, 386, 2085, 3097, 4130, 4474, 6004, 6772, 7726, 940, 1938, 2803, 3575, 4918, 6041, 6849, 8139, 512, 1750, 2970, 4074, 4398, 5761, 7239, 8126, 959, 1280, 2926, 3478, 4870, 5704, 6612, 7411, 103, 1206, 2646, 3750, 4437, 5482, 6443, 8065, 844, 2000, 2959, 4162, 4876, 6118, 7115, 8025, 759, 1507, 2167, 3531, 4688, 5684, 7017, 7869, 1029, 1454, 2307, 3448, 4464, 5253, 6430, 7304, 942, 2050, 2915, 3912, 4444, 5380, 7123, 7528, 603, 1926, 2748, 4096, 4521, 6220, 6321, 7469, 678, 2050, 3046, 3543, 4901, 5482, 7202, 7988, 504, 1440, 2887, 3153, 4399, 6118, 7115, 7383, 1025, 1547, 2924, 4119, 5050, 6126, 6615, 7394, 643, 1740, 2996, 3213, 4707, 5475, 7229, 7680, 887, 1402, 2173, 3812, 4335, 6068, 6907, 7583, 887, 2043, 2974, 3967, 4467, 6222, 7005, 7448, 840, 2043, 2205, 3486, 4941, 6222, 6518, 8170, 428, 1183, 2847, 3678, 4776, 6002, 6487, 8146, 508, 2009, 3097, 3791, 5071, 6202, 7174, 8158, 763, 2009, 3040, 3833, 5126, 5737, 7126, 7879, 271, 1348, 2140, 3215, 5138, 6194, 7157, 8140, 1052, 1352, 2869, 3580, 4281, 5257, 6463, 7578, 763, 1503, 2414, 3618, 4239, 5729, 7106, 8050, 150, 1503, 2258, 4146, 4585, 5321, 6476, 7758, 776, 1183, 2623, 3240, 4435, 5410, 6684, 8073, 776, 1183, 2231, 3848, 4425, 6053, 6590, 8077, 776, 1212, 2137, 4009, 5175, 5646, 6346, 7521, 1025, 1301, 3151, 3442, 4451, 5836, 6227, 8141, 1025, 1477, 2520, 3582, 5164, 5465, 6828, 7284, 1090, 1189, 2868, 3639, 5088, 5678, 6859, 7706, 887, 1773, 2429, 4150, 4282, 6070, 6536, 7887, 1056, 1509, 2946, 3975, 4586, 6014, 7084, 7794, 1097, 1218, 2996, 3803, 4822, 5705, 6972, 8083, 1099, 2046, 2803, 3206, 4822, 6081, 7006, 8076, 256, 1620, 2957, 3749, 5151, 6051, 6810, 7865, 654, 2060, 2918, 3394, 4580, 5901, 7103, 7919, 654, 2061, 2242, 3648, 5179, 5689, 7079, 7753, 518, 1252, 2941, 3352, 4593, 5514, 6579, 8102, 518, 1606, 2346, 3574, 4536, 5837, 6710, 7563, 195, 1424, 3091, 3235, 5167, 5586, 7168, 7831, 228, 1851, 3021, 3798, 4329, 6119, 6604, 7427, 256, 2127, 2473, 3470, 4877, 5514, 7100, 8237, 789, 2097, 3021, 4113, 5159, 5296, 6607, 8132, 103, 2032, 3135, 4089, 4429, 6117, 6716, 7312, 356, 1317, 2746, 3623, 4522, 6128, 6251, 7717, 304, 1981, 2163, 3916, 5135, 6147, 7129, 7477, 752, 1660, 2495, 3179, 5075, 6123, 6677, 8096, 113, 1926, 2553, 3258, 5050, 6058, 7028, 7341, 113, 2117, 2573, 3727, 4741, 5357, 6651, 8245, 113, 1912, 3092, 3479, 4810, 5313, 6803, 7254, 247, 2009, 2389, 4099, 4604, 6116, 6847, 8123, 535, 1988, 2868, 3573, 4364, 5925, 6801, 8016, 535, 1299, 2923, 3936, 4774, 5545, 6866, 7436, 826, 1786, 2348, 3986, 4205, 5243, 6606, 7313, 150, 1581, 2639, 3986, 4522, 5918, 7017, 7899, 887, 1315, 2506, 3894, 5191, 5648, 6299, 8150, 641, 1676, 2506, 3427, 4556, 6065, 6975, 7651, 424, 1621, 2515, 3540, 4828, 5339, 6607, 7962, 938, 1399, 2655, 3978, 4667, 6104, 6734, 7476, 1011, 1669, 2470, 3251, 4985, 5797, 6614, 8242, 1024, 1838, 2584, 3894, 4813, 5694, 6302, 7490, 970, 1269, 2707, 3904, 5098, 5209, 7181, 8093, 940, 1623, 2515, 3885, 4822, 6001, 7114, 7476, 1011, 1838, 3007, 3165, 4932, 6181, 6646, 7865, 1011, 1833, 3112, 3755, 4598, 5325, 7109, 7677, 981, 2125, 3006, 4168, 5091, 5534, 6265, 7962, 951, 2091, 2163, 4068, 4825, 6181, 7003, 8185, 913, 1141, 2361, 3826, 4598, 6190, 6567, 8080, 913, 1490, 2288, 3449, 4949, 5879, 7087, 7355, 692, 1496, 2584, 3245, 4604, 5790, 7075, 7510, 730, 1283, 2515, 3232, 5045, 5375, 6504, 7791, 662, 1886, 2751, 3924, 4213, 5814, 6632, 7634, 996, 1688, 2487, 4130, 4437, 5339, 7017, 7454, 491, 2067, 2452, 3751, 4671, 5828, 6504, 7515, 995, 1882, 2751, 3751, 5031, 6125, 6749, 7752, 487, 2034, 2374, 4094, 4707, 5745, 6311, 7427, 692, 1561, 2355, 3623, 4606, 5492, 6456, 7404, 970, 2034, 2751, 3751, 4326, 6181, 7178, 8103, 970, 1289, 2436, 4106, 4604, 6034, 7043, 7395, 804, 1998, 2315, 3190, 4690, 5745, 6755, 7291, 1099, 2024, 3021, 4071, 4993, 5705, 6809, 8085, 142, 1874, 2730, 4108, 4704, 5705, 6988, 8147, 488, 2068, 2991, 4174, 4782, 6139, 7006, 7876, 956, 2068, 2957, 4018, 5061, 5241, 6972, 7485, 818, 1622, 3110, 3982, 4624, 5832, 7201, 7766, 818, 2017, 3065, 3893, 4624, 6139, 7201, 8196, 818, 1622, 2914, 3866, 4782, 6139, 7239, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8147, 488, 1528, 2914, 3893, 4624, 6139, 7226, 8260, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8260, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 51, 39, 53, 5, 16, 5, 42, 63, 39, 66, 5, 53, 17, 52, 66, 16, 66, 74, 30, 5, 17, 75, 5, 42, 69, 30, 41, 36, 54, 66, 44, 55, 5, 75, 14, 42, 16, 28, 10, 54, 30, 78, 5, 5, 3, 390, 1550, 2946, 3886, 4918, 5978, 7135, 7899, 1097, 1876, 3006, 3796, 4980, 5548, 6786, 8267, 1097, 1992, 3021, 4145, 4859, 5832, 7201, 7865, 555, 1876, 3095, 3803, 4980, 5534, 7230, 7677, 510, 1876, 3128, 4168, 5165, 5767, 7010, 8266, 272, 1320, 2669, 3710, 5083, 6103, 7047, 7895, 865, 1865, 2820, 3798, 4225, 5902, 6443, 8078, 715, 2125, 2750, 3987, 4895, 5884, 7024, 7753, 660, 1834, 2669, 4082, 4927, 5875, 6622, 7437, 399, 1882, 2380, 3218, 4940, 5354, 6397, 7542, 632, 1831, 2529, 3329, 4893, 5603, 7046, 8153, 1023, 1205, 2298, 3792, 4218, 5778, 6919, 7909, 896, 1205, 2863, 3848, 4878, 5948, 6449, 7551, 1080, 1896, 2923, 3700, 4701, 5752, 6728, 7772, 893, 1434, 2533, 4037, 4364, 5930, 6375, 8150, 887, 1755, 2215, 4103, 4543, 5565, 6938, 7259, 304, 2072, 2868, 3218, 4991, 6120, 7148, 8236, 216, 1655, 2710, 3977, 5169, 5899, 6848, 7291, 504, 1655, 2439, 3536, 4681, 5764, 6376, 7685, 363, 1983, 2497, 3610, 4604, 6168, 6680, 7608, 1023, 1531, 2183, 4057, 4464, 5870, 6227, 7651, 363, 1771, 2867, 3524, 4812, 5746, 6224, 7825, 1025, 1688, 2935, 4055, 4755, 5811, 7170, 7537, 390, 1777, 2188, 4146, 4533, 5509, 7098, 7614, 804, 1827, 2946, 3978, 4308, 5350, 7120, 7887, 512, 2068, 3095, 3593, 4983, 6195, 7069, 7720, 308, 2046, 3007, 4114, 4993, 5515, 7149, 7870, 804, 1998, 3128, 3710, 4622, 5219, 7129, 7421, 940, 1750, 2984, 4108, 4859, 5705, 6996, 8252, 110, 1740, 2238, 3764, 4638, 6122, 6953, 7945, 373, 1752, 2554, 3284, 4882, 5802, 6753, 7311, 750, 1700, 2615, 4170, 5104, 5661, 6633, 8083, 750, 1545, 2838, 3715, 4954, 6058, 6749, 7895, 1035, 1905, 2493, 3819, 4890, 5650, 6229, 7948, 752, 1581, 3033, 3557, 4496, 5650, 6701, 7298, 1005, 2035, 2544, 3983, 4555, 5291, 6689, 8078, 759, 1350, 2130, 3437, 4701, 5929, 6796, 7312, 936, 1742, 2878, 3398, 4369, 6092, 6985, 7539, 363, 1742, 2455, 3863, 4699, 5585, 7078, 7378, 1101, 1510, 2726, 3771, 4636, 5347, 6244, 7768, 737, 1636, 3056, 4015, 4935, 6118, 7232, 7628, 920, 1550, 2392, 4015, 4435, 5600, 7043, 7973, 845, 1831, 2725, 3464, 4321, 5889, 7043, 7480, 487, 1363, 2655, 3225, 5164, 5339, 6911, 7607, 807, 1777, 2271, 3970, 4962, 5218, 7001, 7997, 160, 1692, 2436, 4043, 4609, 6002, 6880, 7885, 304, 1753, 2872, 3259, 4949, 5734, 7023, 7878, 899, 1994, 2940, 3374, 5185, 5811, 6591, 8045, 256, 1707, 2771, 4174, 4681, 5514, 6909, 8236, 256, 1847, 2601, 3227, 4916, 5536, 6696, 8130, 256, 1684, 2970, 3425, 5197, 5760, 6338, 8132, 878, 1570, 2858, 3732, 4916, 5705, 6810, 8048, 153, 1684, 3133, 4145, 4411, 5630, 7135, 7707, 552, 1286, 2167, 4150, 4423, 6137, 6901, 8066, 914, 2000, 2991, 3838, 4704, 5548, 7043, 8179, 216, 1932, 2895, 4108, 4782, 6211, 6604, 8267, 731, 1777, 2795, 3918, 4589, 5210, 7207, 7717, 304, 1692, 3038, 3909, 4363, 5413, 7163, 8227, 223, 2001, 2994, 3982, 4556, 5958, 6953, 7264, 1066, 1935, 2786, 3929, 5022, 6138, 6860, 8205, 160, 1930, 2693, 4103, 4994, 6033, 6642, 7962, 887, 1572, 2716, 3879, 5072, 5443, 7094, 7707, 1071, 2053, 2258, 3582, 4470, 5289, 6272, 7947, 1071, 2053, 2274, 3351, 4543, 5700, 6892, 7602, 1071, 2053, 2258, 3582, 5005, 5442, 6642, 7900, 160, 2053, 2167, 3175, 4371, 6213, 6892, 7290, 223, 2001, 2554, 3813, 4831, 5567, 7069, 7438, 802, 1550, 2728, 3685, 5192, 6204, 6350, 7676, 1033, 1847, 2554, 3449, 4364, 6156, 6542, 8077, 160, 1209, 2659, 3252, 5145, 5493, 7142, 8225, 948, 2024, 2326, 3727, 5115, 5540, 6224, 7863, 1045, 2035, 2999, 3520, 5026, 5754, 7123, 7827, 702, 1658, 2286, 3779, 4417, 6107, 6857, 8098, 702, 2124, 2249, 4118, 4678, 5248, 6537, 7250, 702, 1180, 2872, 3203, 4823, 5787, 6670, 7880, 407, 1776, 3040, 3868, 5005, 5686, 6883, 8225, 918, 1589, 2423, 3276, 4678, 5775, 6847, 7889, 918, 1799, 2405, 3276, 5005, 5347, 7027, 7746, 1080, 1183, 2653, 3325, 5128, 5585, 7192, 8268, 643, 1183, 3085, 3547, 5001, 6174, 6905, 8224, 923, 1199, 2783, 4083, 4291, 5679, 7130, 8217, 1025, 1540, 2534, 4094, 4374, 5565, 6620, 8017, 288, 1727, 3038, 4166, 4861, 6131, 6953, 8135, 450, 1897, 2858, 3877, 4981, 5592, 6668, 8054, 568, 1106, 3109, 3329, 4850, 6149, 6576, 8259, 518, 1175, 2946, 3550, 4555, 5413, 6898, 7959, 568, 2035, 2771, 3261, 4358, 6181, 7047, 8126, 1033, 1684, 2422, 3987, 4813, 5332, 7069, 8172, 1036, 1561, 2725, 3999, 4337, 5224, 6903, 8266, 761, 1269, 2830, 3952, 4687, 5589, 6760, 8034, 363, 1550, 3119, 3193, 4664, 5699, 7229, 7532, 504, 1174, 2487, 3417, 5115, 5728, 6319, 8266, 304, 2063, 2803, 3819, 4918, 5515, 6444, 7887, 804, 1750, 3043, 3767, 4782, 5385, 6540, 7650, 859, 1750, 2944, 4018, 4782, 5590, 6613, 7641, 899, 1623, 2991, 4026, 4690, 5241, 7157, 7918, 874, 1372, 2869, 4171, 5005, 5419, 6840, 7957, 225, 1461, 2287, 3374, 5061, 5869, 7098, 7804, 568, 2068, 2718, 3352, 4219, 5436, 6607, 7920, 757, 1750, 2175, 4125, 4918, 5677, 6752, 7313, 959, 1736, 3098, 4106, 5183, 5968, 6604, 7660, 149, 1340, 2654, 3812, 4934, 5610, 6293, 8215, 761, 1758, 2309, 3426, 4429, 5378, 6944, 7985, 386, 1206, 2309, 3601, 4654, 5303, 6604, 7413, 223, 1554, 2309, 4151, 5084, 5641, 6761, 8214, 1033, 1768, 2868, 3286, 5128, 5768, 7212, 7451, 160, 1407, 3149, 3372, 5182, 5522, 7230, 8132, 678, 1513, 3092, 3430, 4543, 5884, 6605, 7657, 643, 1305, 3092, 4005, 4548, 6003, 6613, 7496, 304, 1691, 2207, 3475, 4361, 5716, 7009, 8070, 1035, 1141, 2369, 3960, 4442, 5844, 6343, 7505, 386, 1971, 2497, 3826, 5022, 5793, 7186, 7549, 1080, 2059, 3080, 3618, 5116, 5771, 6777, 7625, 959, 1758, 2895, 3819, 4734, 5388, 6732, 7359, 678, 1373, 2895, 3795, 4489, 5678, 6964, 7415, 1101, 1601, 2138, 3892, 4595, 5963, 6348, 7627, 761, 1834, 2163, 3245, 5101, 5390, 6698, 7477, 893, 1566, 2497, 3892, 4669, 5666, 6614, 7689, 443, 1490, 2766, 3551, 5030, 6124, 7104, 7693, 424, 1660, 2163, 3721, 4753, 5765, 6376, 7777, 440, 1747, 3150, 3445, 4797, 5968, 6607, 7804, 440, 2127, 2330, 3904, 4863, 5719, 6582, 7542, 440, 2021, 2163, 3555, 4855, 5241, 6753, 7419, 967, 1945, 2729, 3226, 5120, 6131, 6607, 8185, 1099, 1218, 2598, 3917, 4801, 5873, 7006, 8076, 512, 1913, 2803, 4068, 4588, 5210, 6752, 8185, 818, 1998, 2947, 3945, 5080, 6211, 6988, 7876, 308, 2125, 2730, 3914, 4888, 6205, 6972, 7948, 684, 1963, 2895, 4018, 4980, 6175, 7111, 8066, 293, 1723, 2201, 3427, 4928, 5237, 7170, 7538, 781, 1935, 2629, 3599, 5023, 5975, 7246, 8072, 1009, 1531, 2292, 3283, 4809, 6219, 6836, 7659, 1101, 1531, 2133, 3997, 4546, 5902, 6952, 8125, 761, 1531, 2529, 3882, 5137, 6208, 6980, 7730, 386, 1283, 2573, 3878, 4955, 5549, 6254, 7868, 304, 1198, 2945, 3941, 5148, 6061, 6333, 7707, 684, 1797, 2754, 3949, 4890, 6131, 7100, 7948, 804, 2065, 3001, 3430, 4419, 5385, 7218, 7759, 484, 1797, 3022, 3945, 4366, 5515, 6589, 8267, 484, 1847, 2957, 3226, 4888, 5678, 7095, 8261, 568, 1750, 2941, 4166, 4589, 5219, 6612, 7816, 256, 1452, 2991, 3680, 4555, 5548, 6889, 7677, 518, 2068, 2729, 3555, 4387, 5515, 6291, 8080, 518, 2106, 2468, 3993, 5193, 5514, 7019, 8213, 256, 1490, 2991, 3838, 4863, 5719, 6895, 8061, 617, 1856, 2729, 4006, 5135, 5981, 6607, 7508, 401, 1933, 2975, 3961, 4900, 5548, 6515, 8085, 802, 1582, 2144, 3921, 4203, 5510, 7104, 7437, 1080, 1563, 2810, 3472, 4930, 6187, 6235, 8060, 938, 1231, 2564, 3795, 5116, 5485, 6908, 7944, 401, 1234, 2534, 3932, 4681, 5344, 6588, 8079, 1071, 2102, 2135, 3231, 4343, 5899, 7114, 7720, 223, 1363, 2783, 3345, 5098, 6171, 6302, 8240, 216, 1682, 2801, 3233, 4867, 5788, 7049, 7574, 752, 1280, 2868, 4101, 5125, 6128, 6725, 8209, 487, 1930, 2254, 3424, 4903, 5878, 6736, 8261, 737, 1261, 2173, 4072, 4694, 5576, 6454, 7790, 868, 1183, 2536, 3357, 4799, 6118, 6828, 7546, 465, 1183, 2831, 3178, 4731, 5673, 6552, 8018, 319, 1993, 2345, 3787, 4604, 5716, 6478, 7400, 1071, 1503, 2662, 3214, 4930, 5528, 6982, 8171, 959, 1503, 2543, 3649, 4757, 5481, 7173, 7959, 256, 1998, 2383, 3555, 4906, 5413, 7168, 8005, 256, 1452, 2915, 3732, 5085, 5260, 6335, 7764, 256, 1846, 2924, 3648, 4788, 5439, 6944, 8016, 617, 1752, 2942, 3595, 5125, 5892, 6542, 8066, 160, 1995, 2291, 3595, 4611, 6146, 7188, 7791, 886, 1794, 3040, 3971, 4321, 6107, 6701, 7424, 1101, 1782, 3040, 3429, 4915, 5706, 6667, 7582, 807, 1906, 3140, 4128, 4920, 6145, 6704, 8075, 545, 1924, 2655, 3356, 4205, 5354, 6861, 8220, 678, 1831, 2868, 3430, 4981, 5734, 6824, 8104, 1035, 1363, 2901, 3540, 4334, 6063, 7058, 8079, 1033, 1816, 3064, 3352, 5153, 6204, 7160, 7918, 1071, 1777, 2436, 3183, 4966, 6068, 6306, 8126, 1071, 1428, 2970, 4096, 5115, 5835, 6272, 7586, 104, 1676, 3021, 4096, 4573, 5832, 6430, 7421, 104, 1676, 3021, 3759, 5062, 5950, 6734, 8236, 1025, 1141, 2166, 3253, 4955, 5824, 7007, 7948, 756, 1382, 2990, 3770, 5020, 5457, 7218, 8107, 256, 1330, 2718, 3987, 4923, 6085, 6430, 7800, 613, 1887, 2254, 3741, 4411, 6146, 7168, 7716, 952, 1275, 2163, 3831, 4993, 5510, 6753, 7465, 802, 1901, 2678, 3177, 4497, 5886, 7044, 7439, 786, 1309, 2725, 3421, 4420, 6207, 6949, 8011, 739, 1861, 3091, 3421, 4887, 6022, 6938, 8053, 665, 2061, 2271, 4013, 4804, 5900, 6303, 8075, 1040, 2006, 2703, 3251, 4356, 5451, 6249, 7991, 868, 1486, 2464, 3214, 4386, 5339, 6567, 7403, 880, 1719, 2679, 3770, 4364, 6022, 6747, 7807, 535, 1905, 2487, 3875, 4698, 5937, 6911, 7547, 887, 1561, 2691, 3549, 4795, 5641, 6536, 7547, 663, 1120, 2792, 3768, 4758, 5534, 6811, 7613, 1056, 1175, 2679, 3487, 4589, 5694, 6331, 7664, 1056, 1467, 2895, 3732, 5080, 5767, 6566, 8195, 1037, 1587, 2641, 3891, 4276, 5730, 6630, 7706, 666, 1601, 2988, 3274, 4513, 6111, 6991, 8132, 1035, 2048, 2529, 4162, 5001, 5539, 6895, 7706, 803, 2048, 2346, 3981, 4344, 5981, 7165, 7902, 612, 1814, 2265, 4004, 5124, 6154, 6234, 7504, 1047, 1939, 2321, 3908, 4225, 6174, 6310, 7438, 390, 1881, 2729, 4114, 4533, 5590, 7220, 7485, 288, 1809, 2803, 3671, 5125, 5534, 6891, 7948, 779, 1540, 2996, 4108, 5058, 6205, 7157, 7658, 390, 1668, 2880, 3710, 4867, 5832, 7058, 8260, 308, 1238, 3038, 3962, 4870, 6182, 7111, 7918, 886, 1769, 2865, 3653, 4319, 6144, 6962, 7977, 569, 2035, 2368, 3717, 4221, 5954, 6913, 7263, 806, 1469, 2236, 3221, 5145, 5711, 7131, 7804, 1070, 1469, 2937, 3556, 4678, 6092, 6638, 7419, 1070, 1251, 2423, 3878, 4678, 6035, 6730, 7400, 410, 1469, 2372, 3276, 4208, 5240, 6995, 7305, 407, 1983, 2395, 3760, 4919, 5390, 6678, 7646, 278, 1469, 2910, 3614, 4875, 5477, 6277, 8052, 763, 1469, 2405, 3687, 4306, 5495, 7190, 8139, 179, 1183, 2583, 3382, 4435, 6098, 6443, 7619, 508, 1901, 2613, 3429, 4678, 5823, 6561, 7671, 620, 1983, 2133, 4024, 4571, 5335, 6692, 7441, 192, 1527, 2345, 3214, 4820, 5248, 6354, 8209, 558, 1749, 2869, 3252, 4544, 5918, 6354, 8234, 407, 1840, 2865, 3422, 4989, 5780, 6511, 8229, 880, 1350, 2234, 4015, 4241, 6033, 7182, 8218, 1057, 1326, 2129, 3702, 4184, 5600, 7027, 7445, 424, 1333, 2599, 3563, 4573, 5481, 7040, 7491, 887, 1141, 2877, 3869, 4186, 5844, 7140, 7776, 887, 1141, 2877, 3949, 4292, 5249, 6871, 8226, 104, 1141, 2789, 3962, 4536, 5500, 6901, 7895, 104, 1141, 2689, 3671, 4788, 6175, 6663, 8036, 104, 1141, 2248, 3793, 4258, 5360, 6734, 7677, 104, 1141, 2963, 3866, 5115, 6007, 7010, 8078, 887, 1635, 2868, 3771, 4771, 5430, 6974, 7557, 887, 1458, 2282, 3955, 5120, 5751, 6463, 7656, 887, 1458, 2282, 3764, 4998, 5587, 6251, 7474, 536, 1458, 2868, 3464, 4212, 6130, 6551, 8053, 309, 1299, 2931, 3417, 4967, 5579, 6746, 7680, 576, 2059, 2594, 3399, 4604, 5620, 6998, 7447, 654, 1700, 2614, 3922, 5184, 5610, 6909, 8216, 1014, 1995, 2585, 3916, 4635, 5218, 6480, 7528, 195, 1734, 2180, 3245, 4618, 5899, 7203, 7528, 654, 1635, 3099, 3555, 5138, 6123, 6966, 7957, 518, 1971, 2554, 4097, 5040, 5797, 6335, 8040, 617, 1858, 2970, 3518, 5060, 5656, 7024, 8164, 475, 1623, 2221, 3550, 5075, 6001, 6338, 7291, 555, 1620, 3008, 3595, 4877, 5963, 6752, 7865, 488, 1528, 3117, 3825, 4704, 5677, 6291, 7766, 555, 1490, 3021, 3374, 5135, 5493, 7152, 8076, 555, 1789, 3065, 3595, 4622, 5413, 7129, 7485, 555, 2111, 2970, 3595, 4681, 5811, 6604, 7485, 555, 2065, 2858, 3595, 4681, 5548, 6809, 8093, 555, 2065, 3064, 3893, 4512, 6139, 6612, 7766, 555, 2111, 2858, 4166, 4387, 5635, 6612, 7664, 186, 2065, 3065, 4068, 4704, 6139, 6794, 8080, 4, 2 ]

[ 1, 31, 33, 63, 5, 76, 11, 78, 5, 54, 57, 5, 52, 20, 55, 42, 35, 5, 33, 54, 47, 5, 16, 62, 45, 63, 16, 54, 64, 5, 17, 75, 5, 16, 5, 75, 45, 52, 16, 50, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6186, 6752, 8196, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8147, 818, 1648, 2957, 4018, 4551, 5635, 6786, 8223, 335, 1717, 2971, 4026, 4583, 6123, 6988, 7602, 802, 1458, 2771, 3613, 5095, 6117, 6881, 7666, 896, 1888, 2787, 3802, 4305, 6015, 6244, 8235, 1004, 1557, 3116, 4076, 4843, 5353, 6350, 7962, 737, 1518, 2151, 3467, 4813, 5548, 6560, 8095, 896, 1977, 2462, 4003, 4288, 5547, 6881, 7900, 1060, 2055, 2491, 3824, 4544, 5734, 6325, 7963, 154, 1858, 2728, 3329, 4205, 5746, 6436, 7659, 803, 1674, 2593, 3472, 4298, 6010, 6720, 7545, 123, 1167, 2667, 3915, 4225, 5745, 6619, 7622, 150, 1838, 2485, 3924, 5128, 5347, 6284, 7736, 610, 2070, 2894, 3543, 4811, 5814, 6279, 7872, 610, 2099, 2452, 3584, 5151, 5693, 6279, 7865, 150, 1664, 2394, 3492, 4538, 6073, 6850, 8048, 887, 1499, 2503, 3404, 4303, 6200, 6771, 8017, 887, 1193, 3120, 3649, 4589, 6014, 7004, 7950, 1005, 1675, 2899, 3777, 5106, 5807, 6901, 7547, 614, 1860, 2408, 3215, 4215, 5515, 6262, 7820, 104, 1672, 2248, 3289, 4933, 5953, 7114, 7737, 887, 1260, 2956, 3231, 4776, 5601, 6790, 7621, 150, 1720, 2712, 3387, 4576, 5347, 6561, 7879, 123, 1383, 2461, 3294, 4243, 5722, 6403, 7817, 501, 1779, 2218, 3727, 4636, 5819, 6518, 7786, 333, 1688, 2280, 3276, 5031, 6190, 6304, 8146, 774, 1926, 2372, 3924, 4739, 5268, 6542, 7904, 508, 1843, 2255, 4128, 4984, 5570, 7135, 7312, 508, 1615, 3040, 3215, 4396, 5565, 6822, 7875, 508, 1231, 2141, 3313, 4685, 6180, 6777, 7472, 262, 1843, 3040, 3809, 4530, 5528, 6999, 8253, 1006, 1151, 3040, 3701, 4320, 5299, 6463, 8128, 1064, 1749, 2182, 3350, 4678, 6181, 7154, 7798, 653, 1183, 2775, 4017, 4748, 6001, 6887, 7299, 1059, 1757, 2293, 3519, 4654, 5746, 6680, 7963, 453, 1523, 2899, 3967, 4558, 5672, 6671, 7264, 317, 1206, 2792, 3276, 4543, 5277, 6932, 7291, 1014, 2002, 2678, 3873, 4764, 6189, 7192, 8146, 576, 1140, 2383, 3416, 4652, 5456, 6637, 7842, 256, 1523, 2316, 3900, 5167, 5801, 6610, 8001, 684, 1467, 2669, 3975, 4512, 5863, 7230, 7865, 684, 2000, 2754, 3732, 4782, 6146, 6668, 8126, 304, 2063, 2925, 3595, 5166, 5216, 7084, 8179, 304, 1791, 3053, 4011, 4229, 5981, 6612, 7876, 160, 1924, 2924, 3600, 4282, 6184, 6670, 7887, 1025, 1759, 2250, 3513, 4179, 6073, 6319, 7894, 781, 1975, 2956, 3243, 4609, 6201, 7240, 7815, 540, 1199, 2612, 3702, 5085, 5579, 6635, 7983, 1029, 1926, 2623, 3934, 4482, 6118, 6502, 8069, 643, 1469, 2248, 3299, 4683, 5802, 7078, 7816, 150, 2027, 2965, 3584, 4348, 5902, 6417, 8128, 504, 1469, 2492, 3561, 4887, 5953, 6650, 7973, 643, 1350, 3040, 3411, 4691, 5315, 7111, 7785, 1016, 1167, 3040, 4097, 4390, 5596, 6706, 7875, 104, 1393, 2394, 3394, 4273, 5244, 6617, 8085, 104, 1633, 2394, 3727, 5096, 6107, 6728, 7875, 961, 1350, 3040, 3401, 4241, 5989, 6351, 7787, 1022, 1572, 2665, 4168, 4543, 6002, 7056, 8246, 424, 2064, 3108, 3420, 4882, 5862, 6651, 7393, 887, 1440, 3072, 3752, 5183, 5227, 7047, 8048, 1090, 1912, 3149, 3376, 4709, 6171, 7195, 7424, 1035, 1669, 3040, 3557, 4646, 5421, 6716, 8192, 831, 1912, 3040, 3387, 4787, 5642, 7096, 8170, 850, 1440, 2636, 3401, 4402, 5408, 6724, 8235, 826, 1440, 2396, 3557, 4501, 6002, 6251, 7271, 150, 1469, 2716, 3316, 4316, 5588, 7022, 7837, 443, 1440, 2983, 4025, 4823, 5255, 6281, 7437, 535, 1440, 2224, 3497, 4195, 5235, 7053, 7817, 1017, 1926, 2732, 3846, 4367, 5408, 6795, 7702, 803, 1926, 3121, 3388, 4774, 5268, 6941, 7478, 531, 1563, 2280, 3379, 4274, 6176, 7178, 7985, 655, 2050, 2428, 3804, 4891, 5722, 7198, 7787, 368, 1233, 2674, 3934, 5005, 6132, 6404, 7644, 655, 1183, 2831, 3652, 4531, 5909, 7246, 7828, 296, 1480, 2173, 4142, 4702, 5604, 6743, 7875, 763, 1183, 2338, 3921, 4310, 5945, 6314, 8001, 482, 2050, 3063, 4158, 4709, 5785, 7119, 7309, 1003, 1183, 2437, 3508, 5032, 5248, 6229, 7537, 335, 1608, 2394, 3777, 5040, 5493, 6771, 7304, 731, 1477, 2925, 4105, 4856, 5515, 7111, 8218, 391, 1600, 2984, 3963, 4536, 5658, 7162, 7641, 948, 2024, 3021, 3258, 5135, 5899, 6470, 8179, 335, 1640, 2340, 4103, 5153, 5890, 6331, 7865, 970, 1509, 3092, 4096, 4388, 5658, 6991, 8177, 970, 1717, 2794, 3530, 4589, 6222, 6612, 8239, 955, 2081, 3038, 3298, 4573, 5730, 6771, 7438, 401, 1777, 2492, 4017, 4930, 5694, 6589, 7870, 1005, 1986, 3042, 3167, 5110, 6048, 6619, 7667, 104, 1876, 2387, 4101, 4829, 5515, 6302, 7862, 692, 2117, 2564, 3582, 5117, 5573, 6560, 7633, 668, 1608, 2564, 3878, 4364, 6171, 6224, 8033, 862, 1770, 2564, 4073, 4474, 5926, 7001, 8165, 569, 1141, 2615, 4073, 4736, 5391, 6309, 7837, 806, 1512, 2349, 3575, 4476, 5787, 6763, 7751, 692, 1146, 2462, 3792, 5009, 5444, 6949, 7248, 761, 1991, 3068, 3655, 4595, 6077, 7043, 7697, 814, 1758, 2132, 3502, 4229, 5665, 6612, 7843, 992, 1816, 2142, 3380, 4457, 5468, 6550, 7987, 693, 1327, 2593, 3421, 5193, 5244, 7066, 8000, 235, 1510, 2506, 3449, 5107, 6034, 6476, 7424, 403, 1664, 2601, 3601, 4832, 5722, 6923, 7279, 645, 1510, 2831, 4107, 5031, 5574, 6921, 8015, 886, 1286, 2372, 4037, 4682, 5886, 6442, 8046, 761, 1110, 2210, 3623, 4356, 5578, 6244, 8150, 1029, 1388, 3097, 3943, 4364, 5940, 6824, 7904, 807, 1850, 2593, 4043, 5067, 5880, 6571, 7869, 1025, 1918, 2330, 3394, 4421, 6118, 7012, 8132, 1035, 1771, 2701, 3978, 4942, 5899, 7162, 7770, 1035, 1771, 2492, 3231, 4983, 5836, 6761, 7438, 487, 1924, 2210, 3540, 5164, 6065, 7018, 7822, 487, 1554, 2492, 3251, 4495, 5609, 6403, 7920, 845, 1227, 2311, 4072, 4969, 6145, 6967, 7992, 807, 1280, 2311, 3399, 4800, 5867, 6623, 7997, 504, 1674, 2495, 4102, 4934, 5953, 7165, 7509, 1025, 1674, 2629, 3421, 4330, 5797, 6944, 7570, 986, 1280, 2661, 3674, 4774, 5944, 7098, 7675, 487, 1562, 3091, 3532, 4533, 5934, 6302, 7822, 807, 2117, 2265, 3580, 4602, 5950, 7043, 7430, 868, 1442, 2422, 3314, 4604, 5339, 6748, 8252, 465, 1282, 2137, 3967, 4616, 5875, 6414, 7261, 1001, 2055, 2137, 3563, 4876, 5690, 6886, 8149, 1001, 1350, 2869, 3399, 4454, 5390, 7219, 7279, 804, 1158, 2291, 3253, 5079, 5978, 7120, 7957, 914, 1998, 2746, 3909, 4859, 6181, 6254, 7865, 510, 2001, 2444, 3914, 4859, 5883, 7201, 7570, 1097, 2000, 2838, 4174, 4287, 5241, 7162, 7677, 956, 2041, 3117, 4085, 4551, 5832, 6786, 7876, 935, 1998, 2996, 4068, 5080, 5661, 6786, 8237, 935, 1874, 2991, 4068, 5159, 6103, 6786, 7806, 935, 2000, 2746, 4068, 4630, 5210, 6786, 8147, 475, 1856, 3064, 4026, 4912, 6182, 6709, 8066, 568, 1257, 2729, 4124, 4259, 5390, 7058, 8018, 617, 1911, 2360, 3980, 4615, 5616, 6849, 8260, 304, 1684, 2383, 4039, 4529, 6137, 6612, 8185, 487, 1407, 2828, 3324, 4578, 5880, 6224, 7761, 668, 1550, 2448, 3679, 4218, 5863, 6704, 7253, 487, 2095, 3091, 3216, 4934, 5216, 6530, 8016, 545, 1545, 2461, 3218, 5097, 6013, 6298, 7664, 938, 1177, 2885, 3832, 5043, 6145, 6622, 7773, 1024, 1529, 2607, 3329, 5069, 5908, 6715, 8262, 1036, 1323, 2487, 3869, 5104, 6096, 6235, 7628, 692, 1234, 2429, 3676, 5134, 5220, 6572, 7844, 692, 1758, 2649, 3939, 4841, 6221, 6585, 7416, 761, 1758, 2396, 3650, 4217, 6084, 7234, 7707, 1029, 1758, 2727, 3177, 4854, 5292, 6803, 7997, 150, 1736, 2214, 3631, 5129, 5496, 6488, 8053, 1057, 1628, 2874, 4073, 4920, 6156, 7157, 7273, 1057, 2055, 2763, 3187, 4556, 6070, 6860, 7383, 1057, 2055, 2810, 3187, 4791, 6135, 7242, 7383, 1057, 1350, 2810, 3649, 4347, 5447, 6824, 7962, 1025, 1490, 2751, 3472, 4670, 5850, 6603, 7627, 1025, 1708, 2171, 3680, 4337, 5745, 6820, 7538, 643, 2079, 2678, 3440, 4822, 6142, 6224, 7712, 1090, 1831, 2895, 4006, 4287, 5439, 7240, 7607, 887, 1265, 2595, 3602, 4338, 6149, 6566, 7872, 887, 1682, 3075, 3838, 5018, 6103, 6694, 7410, 453, 1682, 2885, 3880, 4351, 6206, 6592, 7537, 228, 1635, 2669, 4166, 5080, 5223, 6786, 7664, 240, 1635, 2356, 3966, 4611, 6145, 7207, 7707, 654, 1345, 3022, 3798, 4762, 5378, 6240, 8132, 225, 1534, 2221, 4124, 5167, 5767, 7052, 8130, 568, 2097, 2959, 3550, 4859, 6056, 7100, 8070, 405, 2002, 2783, 3550, 4181, 5606, 6752, 7906, 223, 1424, 2315, 3240, 4980, 5570, 6889, 8061, 761, 1171, 3030, 4037, 4431, 5684, 6864, 8181, 884, 1688, 2869, 3623, 4533, 6118, 6958, 8159, 386, 1503, 2900, 3543, 4389, 5364, 6728, 7549, 262, 1503, 2649, 3709, 4929, 5450, 7025, 8014, 663, 1370, 2352, 3460, 4688, 5821, 7047, 7591, 390, 1924, 2238, 3982, 4852, 6170, 7120, 8066, 715, 1945, 3135, 3685, 4763, 6001, 6961, 7614, 715, 2069, 2679, 3975, 4849, 5850, 6550, 8005, 893, 1898, 2610, 3856, 4321, 6208, 6609, 8016, 319, 1503, 2519, 3412, 4469, 6184, 7157, 7451, 1101, 1503, 3001, 3425, 4314, 5237, 6659, 8020, 802, 1503, 2313, 4053, 4814, 5815, 6933, 7768, 504, 1503, 2439, 3849, 4599, 5264, 6991, 8071, 942, 1777, 2869, 3787, 4994, 6131, 6567, 7843, 715, 1913, 2359, 4145, 4630, 6032, 6251, 7574, 715, 1280, 3021, 3767, 4539, 5364, 6504, 7900, 715, 1233, 2905, 4165, 4859, 6129, 6455, 7908, 715, 1233, 2740, 4027, 4676, 5921, 7017, 7367, 256, 1370, 2678, 3540, 5120, 5557, 7239, 8117, 756, 1233, 2432, 3737, 4589, 5963, 6849, 8041, 756, 1981, 2971, 4068, 4307, 6123, 7201, 7442, 788, 2030, 2254, 3943, 4344, 5677, 7038, 7964, 981, 1206, 2359, 3363, 4191, 5359, 7010, 8015, 1080, 1241, 2871, 4047, 4687, 5216, 6887, 7983, 843, 2013, 2247, 3227, 4748, 5624, 6775, 7333, 692, 1621, 2882, 3227, 4326, 5624, 7010, 8077, 862, 2118, 2304, 3777, 4409, 5659, 7079, 7724, 1088, 1453, 3040, 3390, 4501, 5527, 6293, 7983, 970, 1490, 3040, 4034, 4868, 5942, 6552, 8186, 1011, 2088, 2785, 3459, 4912, 5547, 7053, 7805, 1047, 2024, 3069, 4154, 5143, 5432, 6338, 8262, 216, 2024, 2296, 3226, 4896, 5767, 7160, 8047, 401, 1562, 3150, 3374, 4273, 6171, 6830, 7367, 150, 1199, 2874, 3290, 4441, 5960, 6651, 7687, 1025, 2043, 2687, 3732, 4358, 6073, 6478, 8210, 993, 2012, 2751, 3478, 4427, 5918, 7234, 7438, 881, 1797, 2871, 4120, 4259, 6090, 7053, 7985, 424, 1938, 2901, 3591, 4705, 5976, 6995, 7752, 103, 1636, 3129, 3967, 4993, 5826, 6614, 8118, 986, 1286, 2847, 3695, 4636, 5898, 6536, 7869, 103, 1178, 2315, 3421, 4454, 5474, 7010, 8047, 103, 1995, 2582, 3767, 4493, 5223, 6614, 7887, 779, 1806, 2797, 3975, 4995, 5210, 6313, 7648, 1056, 1797, 2520, 3391, 4782, 6092, 7120, 7476, 308, 2046, 2839, 4068, 4592, 5810, 6528, 8227, 804, 2046, 3021, 4145, 4782, 6051, 6668, 7876, 779, 1467, 2970, 4011, 4762, 5573, 6646, 7906, 105, 1675, 3064, 3550, 4366, 5610, 7215, 7508, 225, 1264, 2355, 4145, 4983, 6149, 6486, 7716, 568, 1623, 2875, 3352, 4458, 6046, 6547, 7717, 183, 1851, 2717, 3550, 4890, 6149, 6988, 7887, 757, 2127, 2941, 3827, 4877, 5901, 7100, 8179, 183, 1286, 2944, 3550, 4859, 5911, 6967, 7773, 617, 1623, 2833, 3550, 4512, 5901, 6612, 8080, 859, 2034, 2946, 3407, 4512, 6137, 6752, 7806, 555, 1622, 3021, 3710, 4870, 5705, 7077, 8196, 818, 1623, 2833, 3825, 4681, 5241, 6996, 8147, 488, 1623, 3117, 3367, 4624, 5892, 6996, 8260, 915, 1623, 2806, 3391, 4798, 6139, 7152, 7476, 488, 2017, 2914, 3893, 4624, 6139, 7226, 7766, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6677, 8223, 142, 1528, 2970, 3825, 4798, 6186, 7152, 8196, 142, 1528, 2970, 3825, 4798, 6186, 6996, 8261, 142, 1528, 2970, 3825, 4798, 6186, 6996, 8196, 142, 1622, 2914, 3825, 4798, 6139, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 45, 66, 5, 45, 78, 5, 66, 73, 5, 28, 48, 5, 43, 57, 62, 66, 5, 64, 57, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 914, 1851, 3008, 4071, 5038, 6103, 6988, 7723, 401, 2060, 2561, 3983, 5183, 5385, 6442, 7919, 392, 1597, 2940, 3623, 4777, 5613, 7053, 7865, 271, 1832, 2335, 4095, 4829, 5701, 6840, 7634, 1009, 1286, 2152, 3394, 4578, 6125, 7042, 7967, 1047, 1847, 2833, 3623, 4620, 5616, 6302, 7781, 1102, 1280, 2383, 3761, 4605, 5797, 6579, 7437, 401, 1525, 2302, 4137, 4278, 5869, 6921, 8140, 756, 2085, 2761, 3671, 4918, 6000, 6793, 7588, 613, 2090, 2970, 3807, 4387, 5981, 6579, 7563, 223, 2095, 2761, 4005, 4870, 5496, 7017, 7870, 981, 1778, 2867, 3767, 4727, 5385, 7160, 8067, 1059, 1794, 2534, 3341, 4859, 6149, 6648, 8236, 1020, 1513, 2734, 3307, 4921, 5407, 6668, 7913, 225, 1773, 2988, 4103, 4592, 6107, 6732, 7962, 225, 1255, 2992, 3277, 4621, 5459, 7149, 7538, 240, 1440, 2370, 3983, 5104, 5642, 6338, 7559, 240, 1440, 3147, 3555, 5160, 5719, 7069, 7715, 240, 1345, 2970, 4113, 4459, 5811, 6589, 7716, 256, 1750, 2554, 4168, 4398, 5548, 6604, 8085, 105, 1750, 2473, 3391, 4387, 5223, 6589, 8147, 518, 1440, 3144, 4026, 5104, 5514, 7197, 8066, 183, 1695, 3038, 4078, 5007, 5624, 7103, 7643, 335, 1349, 3075, 3413, 5120, 5601, 7010, 7488, 1033, 2021, 2244, 3480, 5072, 5324, 6776, 8151, 804, 1508, 3008, 3857, 4470, 5219, 6584, 7421, 684, 1804, 2783, 4018, 5183, 6195, 6677, 8066, 684, 1773, 2746, 3990, 5058, 6205, 7239, 7723, 1091, 1320, 2559, 3909, 5079, 5963, 6719, 7631, 335, 1510, 2340, 3749, 4470, 5565, 6610, 7957, 391, 1164, 2598, 3973, 4955, 5761, 7237, 7706, 448, 1831, 2402, 3796, 4294, 5953, 6413, 8213, 986, 1777, 2514, 3316, 4875, 5522, 6579, 7717, 271, 1633, 2629, 4130, 5120, 5968, 6728, 7815, 650, 1768, 2780, 3570, 4458, 5968, 6889, 7680, 756, 1938, 2352, 3425, 4776, 5288, 6614, 8136, 171, 1994, 2793, 3891, 5092, 5892, 6241, 8061, 579, 1596, 2944, 3602, 4945, 5515, 6694, 8115, 1015, 1655, 2167, 3934, 4616, 5719, 6717, 7394, 132, 1833, 2554, 3844, 4782, 5792, 6758, 7291, 132, 1756, 2991, 4018, 5079, 6205, 6750, 7877, 216, 2035, 3144, 3974, 5079, 5514, 7237, 8031, 840, 1469, 2922, 3957, 4543, 6193, 6347, 7898, 1023, 1469, 2766, 3268, 4314, 5396, 6532, 7739, 895, 1543, 2869, 3760, 4474, 5796, 6925, 8012, 150, 2050, 3072, 3568, 4755, 6110, 7115, 7650, 887, 1529, 2481, 3700, 4511, 5596, 6660, 7893, 663, 1529, 2736, 4062, 5000, 5547, 7038, 7768, 308, 1747, 2282, 3206, 5053, 5345, 7165, 7816, 956, 2021, 3143, 4114, 5080, 6051, 7217, 8076, 984, 1998, 2838, 4166, 5061, 6131, 6972, 7806, 914, 2000, 3095, 3188, 5038, 6051, 7111, 8076, 935, 1508, 2925, 3909, 4589, 5901, 6979, 7887, 488, 1508, 2806, 3893, 4782, 5241, 6972, 8179, 1097, 1791, 3135, 3188, 4980, 5241, 6709, 7806, 956, 2046, 2991, 3440, 5165, 6081, 6979, 8267, 818, 1648, 3110, 3825, 4704, 5219, 6972, 8267, 818, 2064, 2164, 3201, 4798, 5210, 6979, 8237, 475, 1974, 2806, 4026, 5129, 5661, 7129, 7806, 195, 2127, 2858, 3850, 4638, 5514, 6840, 7538, 195, 1623, 2875, 4113, 4512, 5581, 6584, 8248, 195, 1468, 2880, 3518, 4191, 5210, 6430, 8041, 225, 2111, 2791, 3394, 4535, 5352, 6932, 8266, 225, 2030, 2469, 3770, 4869, 5385, 7207, 7254, 518, 2002, 2461, 3803, 5160, 5385, 6486, 7509, 518, 1471, 3131, 4113, 5157, 5678, 6604, 8012, 518, 2111, 3064, 4113, 4326, 6157, 7120, 7881, 317, 2118, 2369, 3885, 5160, 6110, 6991, 8132, 617, 1623, 2959, 3518, 5188, 5364, 7104, 7620, 211, 1186, 2788, 3648, 4629, 5855, 6613, 7838, 113, 2065, 2924, 3943, 4904, 5944, 6542, 7476, 881, 1403, 2848, 4082, 4364, 6222, 6973, 8070, 730, 1865, 2741, 3232, 4831, 5934, 6765, 8150, 692, 1706, 2737, 3688, 4835, 5477, 6564, 8155, 770, 1867, 2741, 3913, 4657, 5501, 7136, 8132, 265, 1660, 2515, 3154, 4338, 5338, 6618, 8110, 770, 1209, 2234, 3965, 4911, 6000, 6932, 7545, 1024, 1937, 3010, 3751, 4560, 5575, 7065, 7515, 235, 1669, 2910, 3669, 4938, 5578, 6426, 8089, 371, 2024, 2741, 3540, 5108, 5994, 6852, 8132, 235, 1178, 2741, 3961, 4276, 5616, 6442, 7722, 504, 1681, 2987, 3477, 4849, 5923, 6458, 8251, 981, 1897, 2547, 4074, 5138, 5359, 6465, 7616, 643, 1672, 2534, 3568, 4338, 5305, 6465, 7812, 1011, 1269, 2518, 3764, 4925, 5341, 6337, 8065, 371, 1669, 2204, 3743, 4323, 6119, 7188, 8108, 1024, 1685, 3001, 3986, 4812, 5235, 6444, 8030, 806, 1318, 2987, 3417, 5137, 5771, 6700, 7938, 776, 1620, 2944, 3339, 4581, 5695, 6700, 8208, 776, 1582, 2231, 3968, 4258, 6119, 6247, 7329, 304, 1562, 2944, 3639, 4323, 6119, 7162, 7658, 132, 1370, 2582, 4171, 5061, 5410, 6852, 7537, 132, 1963, 2858, 3175, 4890, 5701, 6668, 7930, 201, 2073, 3008, 3645, 4888, 5963, 6515, 7720, 818, 1845, 2746, 4011, 4782, 5241, 6794, 7723, 818, 2017, 2914, 3893, 5104, 5901, 6709, 7876, 818, 2017, 3065, 3893, 4888, 5241, 6752, 8185, 555, 2111, 2806, 3188, 4624, 5635, 7226, 7631, 552, 2106, 3064, 3391, 5083, 5219, 6996, 8126, 859, 2111, 2970, 3391, 4681, 5241, 7006, 7563, 552, 1695, 2340, 3873, 4704, 5385, 6589, 8126, 555, 2111, 3064, 4006, 5157, 6205, 6584, 8236, 4, 2 ]

[ 1, 16, 54, 30, 5, 31, 33, 54, 5, 26, 5, 65, 69, 30, 5, 43, 14, 75, 5, 54, 57, 5, 66, 26, 30, 44, 55, 78, 5, 17, 75, 5, 31, 16, 5, 51, 26, 54, 30, 5, 76, 45, 29, 5, 26, 5, 54, 73, 5, 65, 48, 5, 43, 14, 30, 5, 42, 20, 54, 5, 66, 73, 5, 64, 48, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 818, 1622, 2957, 4018, 4551, 5635, 6786, 8223, 510, 1648, 2324, 3226, 4888, 6129, 7201, 8195, 424, 1304, 2327, 4097, 4191, 5768, 6546, 8234, 611, 1653, 2613, 3566, 5103, 5887, 6978, 7820, 499, 1474, 2675, 3181, 4236, 5220, 6238, 7678, 492, 2114, 2888, 3669, 4256, 5792, 6263, 8163, 650, 1171, 2800, 3592, 4483, 5782, 6675, 8005, 223, 1770, 2783, 3321, 4521, 6135, 6234, 8233, 160, 1463, 2203, 3259, 4788, 5260, 6715, 7616, 424, 1931, 2926, 3917, 5088, 5899, 6915, 7821, 211, 1821, 2975, 3680, 4667, 5279, 6949, 7262, 831, 1581, 3053, 4066, 5125, 5641, 7098, 7715, 160, 1463, 2166, 3537, 4983, 5901, 6584, 7706, 778, 1435, 2716, 3749, 4849, 6194, 7157, 8093, 536, 2105, 3101, 3741, 5065, 5366, 6673, 7905, 988, 1496, 2373, 4007, 4292, 5574, 6787, 7610, 492, 1653, 2642, 3643, 4737, 5681, 6740, 8177, 113, 1728, 3083, 4167, 4201, 6058, 6663, 8061, 113, 1212, 3029, 4015, 4894, 5328, 6359, 7538, 610, 1407, 2754, 4082, 4741, 5700, 6639, 7383, 150, 1255, 2868, 4150, 4626, 6156, 7023, 7602, 1081, 2048, 2868, 3795, 4470, 5614, 7165, 7470, 91, 2048, 2209, 3635, 4203, 6208, 6787, 7888, 1057, 1759, 2361, 4133, 4485, 6019, 6892, 7749, 1057, 2115, 2788, 4130, 5176, 6126, 6907, 8126, 952, 2001, 3041, 3720, 4670, 5419, 6717, 7935, 952, 1526, 2151, 3518, 5012, 5439, 6829, 7521, 952, 1561, 2487, 3542, 4207, 5710, 6919, 7640, 211, 1397, 2453, 3597, 4374, 5608, 6393, 7660, 304, 1550, 2369, 3711, 4382, 5749, 7085, 7510, 568, 1289, 2302, 4039, 5138, 5962, 7084, 7985, 334, 1291, 2656, 4138, 5179, 5504, 7163, 7826, 334, 1286, 2340, 3966, 4423, 5297, 6291, 7808, 568, 1633, 2468, 3376, 4220, 5223, 6604, 7252, 757, 1112, 2560, 3662, 4224, 5963, 6607, 7524, 859, 2046, 2991, 3827, 4888, 5944, 6443, 7920, 401, 2097, 2833, 3188, 4877, 5590, 7100, 7631, 223, 1280, 2519, 3955, 5061, 5250, 6613, 7906, 650, 1472, 2944, 3811, 4867, 5472, 7129, 8017, 1057, 1455, 3126, 3900, 5129, 5437, 6957, 7862, 405, 1978, 2946, 3374, 4622, 5204, 6786, 7476, 356, 1116, 2798, 4168, 5138, 5436, 6702, 7627, 952, 1695, 2469, 4093, 4644, 5620, 6348, 8230, 844, 1434, 2636, 3920, 4945, 5689, 6863, 7842, 952, 1349, 2818, 4112, 4772, 6142, 6871, 7816, 1052, 1349, 3116, 3348, 4440, 5513, 6404, 7756, 693, 2125, 2355, 3922, 4949, 5863, 6868, 7531, 776, 1475, 2355, 3166, 4949, 5510, 6637, 7683, 895, 1349, 2762, 3742, 4818, 5592, 6929, 8084, 693, 2003, 2561, 3295, 4818, 5209, 7076, 7778, 678, 1557, 2940, 3578, 4918, 5487, 6922, 7476, 914, 1723, 3098, 3983, 4536, 6131, 6774, 7906, 308, 1508, 2803, 3917, 4366, 5661, 6507, 7723, 1081, 2060, 2868, 3983, 5019, 5449, 6910, 8199, 678, 2125, 2868, 4097, 4398, 6195, 7237, 7715, 831, 1540, 2895, 3866, 5183, 6131, 7168, 7570, 1071, 1881, 3061, 3430, 4912, 5705, 7175, 8083, 663, 1139, 2924, 3453, 4925, 5687, 6467, 8034, 408, 1255, 2167, 3610, 4276, 5730, 7023, 7576, 850, 1330, 2871, 3232, 5018, 5208, 7168, 7716, 993, 1116, 2626, 3922, 4569, 5315, 7128, 8217, 293, 2009, 3103, 3224, 4238, 5325, 6404, 8006, 1067, 1682, 2842, 3154, 4730, 5930, 6762, 8085, 271, 1682, 2860, 3950, 4752, 6140, 6812, 8142, 678, 2033, 2894, 3487, 5196, 5586, 6630, 7803, 955, 1562, 3060, 3819, 4901, 5623, 7168, 7703, 779, 1499, 3143, 3710, 4583, 5586, 6972, 8237, 684, 1682, 2895, 3932, 4583, 6222, 7157, 8214, 1099, 1620, 3064, 3886, 4822, 6211, 7226, 8260, 818, 1648, 3110, 3886, 4551, 5635, 6709, 8147, 818, 1804, 2957, 4011, 4822, 6182, 7239, 7806, 818, 2000, 2991, 3866, 4888, 6211, 6996, 8260, 818, 1528, 2991, 3893, 4888, 6139, 6786, 8260, 186, 1622, 2806, 3440, 4624, 5705, 7201, 7766, 617, 1964, 2554, 4113, 4861, 6149, 6677, 7510, 276, 2108, 2976, 3880, 5142, 5719, 6259, 8188, 195, 2078, 2542, 3566, 4867, 5906, 6818, 7252, 757, 1332, 2596, 3994, 5097, 5719, 6723, 7808, 355, 1313, 2871, 3693, 4535, 5404, 6846, 7404, 272, 1490, 2559, 3178, 4236, 5616, 6844, 8128, 271, 1563, 2474, 3785, 4946, 5553, 6486, 7722, 318, 1490, 2581, 4043, 4775, 5684, 6714, 7921, 640, 1193, 2869, 3303, 5039, 6059, 6373, 7994, 728, 1424, 2692, 3835, 4444, 6015, 6710, 7886, 640, 1193, 2692, 3418, 4466, 5707, 6533, 7775, 611, 1140, 2408, 3745, 4803, 5657, 7044, 8258, 725, 1278, 2464, 3684, 4404, 5960, 6959, 7946, 1067, 1286, 2380, 4112, 5129, 6054, 7174, 7953, 223, 2099, 2365, 3337, 4901, 5903, 7233, 7800, 1062, 1271, 2484, 3369, 4456, 5516, 6612, 7823, 401, 1896, 2167, 3239, 5135, 6202, 6695, 7740, 288, 1306, 2996, 3394, 4623, 5598, 7120, 7811, 610, 1820, 2989, 3822, 5165, 5590, 6426, 7438, 582, 1485, 2221, 3394, 4845, 6088, 6349, 7607, 487, 2055, 2316, 3580, 4321, 5952, 7002, 7873, 487, 2055, 2610, 3329, 5031, 5315, 6676, 8225, 582, 1553, 2688, 3623, 4321, 5546, 6410, 8268, 986, 2053, 2751, 3843, 4421, 5485, 6814, 8178, 1090, 1388, 2923, 4035, 4334, 6171, 6889, 8038, 211, 2117, 2944, 4150, 4954, 6051, 6840, 7481, 424, 1255, 2855, 4145, 4588, 5536, 7207, 7920, 1090, 1660, 2980, 3788, 4993, 6211, 7160, 7485, 778, 1755, 2129, 3399, 4622, 5767, 6470, 8083, 1090, 1275, 2946, 3383, 4536, 6222, 6740, 7657, 1035, 1561, 2470, 3917, 4867, 5944, 7004, 8267, 831, 1534, 2809, 3762, 4622, 6120, 6894, 7941, 1014, 1539, 2429, 3464, 5004, 6208, 6702, 7612, 195, 1139, 2935, 3749, 4351, 6001, 6592, 7648, 518, 1946, 2980, 3603, 4733, 5954, 6849, 7962, 115, 1252, 3116, 3850, 4939, 5821, 6325, 7801, 776, 1821, 2693, 3470, 4446, 5944, 6458, 8149, 283, 2048, 2693, 4082, 5198, 5648, 6694, 7994, 895, 1415, 2644, 3925, 4365, 5632, 6611, 7645, 1090, 1660, 2790, 3793, 4709, 5852, 6684, 7620, 610, 1463, 3112, 3469, 5042, 5475, 6359, 8099, 1056, 1675, 3064, 4113, 4573, 6103, 7239, 8093, 308, 1218, 2473, 3201, 5159, 5761, 6515, 7687, 308, 2046, 2473, 3983, 4763, 6131, 6749, 7538, 304, 1452, 2360, 3945, 5125, 5687, 7006, 8209, 373, 2063, 2709, 4155, 4872, 5784, 7184, 8244, 160, 1299, 2293, 3398, 5073, 5942, 6566, 8076, 895, 1628, 2728, 3656, 5011, 6063, 6470, 8255, 171, 1933, 2424, 4094, 4379, 5893, 7229, 7932, 488, 2065, 3043, 4108, 5104, 5586, 7084, 8093, 488, 2046, 3110, 3990, 4704, 5883, 6786, 8147, 935, 1945, 2803, 3188, 4822, 5241, 7111, 8196, 935, 1528, 2895, 3516, 4980, 6051, 6996, 7723, 707, 1601, 2729, 3407, 4533, 5844, 6922, 7483, 165, 1176, 2709, 3238, 5107, 5944, 6251, 7877, 1102, 1396, 2631, 3994, 4619, 5950, 6252, 7965, 1102, 1540, 2183, 3627, 5168, 5677, 6930, 8106, 223, 1596, 2598, 3951, 4402, 5727, 6273, 8064, 223, 1407, 2554, 4133, 4764, 5594, 6651, 7535, 492, 1759, 2316, 3912, 4857, 6155, 6868, 8162, 283, 1402, 2337, 4102, 4857, 5870, 6901, 7894, 840, 1179, 3091, 3365, 4756, 5526, 6422, 7583, 1067, 1826, 2819, 3356, 4903, 6220, 7182, 7565, 1067, 2118, 2534, 3680, 4714, 5523, 6911, 7823, 319, 2058, 2750, 3765, 5171, 6078, 7238, 7537, 840, 2118, 2534, 3513, 4538, 5742, 6516, 8058, 840, 1550, 2556, 3455, 5096, 6142, 6550, 7946, 299, 1550, 2847, 3447, 4804, 5279, 6978, 8229, 536, 1881, 2389, 3995, 4804, 5496, 6781, 8028, 104, 1286, 2520, 3504, 5120, 5980, 6910, 7582, 1025, 1146, 2980, 3615, 4297, 6141, 6868, 7558, 1025, 1867, 2771, 3430, 4297, 5633, 6536, 7528, 610, 1238, 3101, 4094, 4622, 5210, 7010, 7570, 779, 1721, 2254, 3983, 5020, 5963, 7010, 7485, 585, 1306, 2818, 4083, 4929, 5538, 6605, 7478, 831, 1509, 2480, 3593, 4423, 6222, 6901, 8028, 663, 1867, 2998, 3516, 5020, 6001, 6793, 8075, 1011, 2035, 2943, 3325, 4281, 5968, 6668, 7386, 641, 1686, 2149, 3760, 5159, 5289, 6750, 8054, 826, 1499, 2592, 4151, 5107, 5968, 6859, 7908, 778, 1830, 3092, 3456, 5073, 5844, 6774, 7528, 778, 1826, 2826, 3669, 4321, 6197, 6719, 7816, 103, 1944, 2920, 3865, 4586, 5212, 6466, 8052, 142, 1705, 2833, 4018, 4287, 6182, 7077, 8147, 142, 2041, 2781, 4071, 4622, 5661, 6979, 7806, 356, 1304, 2970, 4026, 5115, 6149, 6515, 7260, 334, 1706, 2754, 3359, 5030, 6120, 6430, 7615, 334, 1633, 2717, 3689, 4192, 5892, 6701, 7349, 421, 1597, 2717, 3822, 5138, 5947, 6651, 7772, 153, 1570, 2729, 3188, 4801, 6191, 7120, 8078, 216, 2065, 2918, 3749, 4334, 5474, 6889, 7816, 685, 1303, 2453, 3647, 4644, 5637, 6251, 7481, 472, 1510, 2593, 3392, 4434, 5422, 6581, 7490, 249, 2059, 2577, 3531, 4626, 6089, 6783, 8215, 249, 1168, 2810, 3551, 4900, 5644, 6672, 7472, 131, 1717, 2231, 3770, 4364, 6176, 6623, 8176, 739, 1397, 2937, 4133, 4351, 5400, 6422, 8171, 793, 1951, 3129, 3237, 4298, 5742, 7073, 7496, 582, 1732, 2751, 3398, 4800, 5863, 7061, 7912, 806, 1439, 2751, 4025, 5115, 5823, 6728, 8082, 776, 1821, 2975, 3885, 4374, 5694, 7198, 7774, 408, 1771, 2245, 3464, 5088, 6205, 6235, 8139, 850, 1676, 2448, 3537, 4565, 5995, 6774, 7510, 778, 1770, 2401, 3631, 5129, 6115, 6550, 8145, 104, 1146, 2940, 3643, 4208, 6191, 6463, 7555, 826, 1255, 2330, 3306, 4993, 5600, 7051, 8179, 887, 1878, 2693, 3885, 4764, 6222, 6818, 8209, 104, 1717, 2715, 3605, 4184, 5219, 6281, 8150, 223, 2079, 2658, 3961, 4859, 6171, 6470, 7671, 223, 1721, 2996, 4166, 4622, 5762, 7114, 8245, 216, 1768, 2943, 3323, 4859, 5630, 6393, 7508, 986, 1563, 2610, 3869, 4804, 5856, 6938, 7627, 807, 2035, 3020, 3635, 4421, 5431, 7033, 7873, 986, 2047, 2387, 4162, 4413, 5584, 6651, 7474, 402, 1550, 2897, 3372, 4566, 5384, 6768, 7549, 1098, 1118, 2897, 3695, 5097, 6135, 6566, 8214, 1006, 1608, 2897, 3394, 5005, 5893, 6715, 7428, 722, 2061, 2424, 4030, 4766, 5584, 7181, 8161, 1064, 1323, 2186, 4103, 4238, 5954, 6914, 8211, 948, 1299, 3055, 3631, 4982, 5935, 6470, 8125, 1011, 1761, 2659, 3245, 4426, 5574, 7182, 7504, 1024, 1509, 2316, 3937, 4335, 5654, 6982, 7927, 1024, 1407, 3092, 3756, 4489, 5574, 6612, 8178, 643, 1318, 2266, 4022, 4993, 6119, 7030, 8218, 150, 1499, 2691, 3654, 4760, 5300, 6936, 8254, 826, 2056, 2860, 3676, 4794, 6132, 6612, 7886, 826, 1873, 2189, 4057, 5118, 6108, 7162, 8112, 424, 1675, 2556, 3729, 4379, 5471, 7218, 7637, 1090, 1535, 2151, 4151, 4966, 5337, 6719, 7768, 610, 1152, 2998, 3803, 5143, 6063, 6889, 7706, 970, 1217, 2136, 3794, 4553, 5792, 7045, 7248, 569, 2115, 2314, 3561, 4385, 5761, 7095, 7531, 408, 1848, 3031, 3709, 4417, 6120, 6480, 8061, 864, 2079, 2254, 3498, 4800, 5990, 6766, 7735, 803, 1972, 2655, 3413, 4407, 5616, 7016, 7977, 100, 1978, 2265, 3259, 4829, 5522, 6315, 8050, 235, 1463, 2603, 3929, 4514, 6135, 6583, 7578, 980, 1566, 2860, 3231, 5153, 6171, 6719, 7571, 337, 1963, 2820, 3505, 5159, 6211, 6633, 7806, 935, 1847, 3135, 3891, 4287, 5241, 6515, 8237, 818, 1648, 3008, 3990, 5106, 5210, 7132, 7876, 488, 2046, 2957, 3893, 4366, 6081, 6752, 8147, 555, 2111, 3110, 4071, 5060, 6081, 7120, 7717, 617, 2097, 2839, 3391, 5115, 5385, 6709, 7485, 617, 2106, 2775, 3420, 4555, 5385, 6604, 7732, 757, 1750, 2562, 3680, 4687, 5352, 7010, 7887, 617, 2111, 3021, 4166, 5120, 5719, 7091, 7732, 555, 2078, 2833, 3440, 4681, 5436, 7207, 7806, 552, 1468, 2775, 4171, 4681, 5719, 7132, 7717, 555, 2111, 3021, 3391, 4782, 5901, 6752, 7723, 555, 2017, 2833, 3391, 4387, 5385, 7120, 7766, 915, 2017, 3021, 3825, 4624, 6186, 6584, 7766, 818, 2017, 3021, 3893, 4624, 5892, 6794, 7766, 183, 2106, 2709, 3595, 4780, 5901, 6752, 7476, 334, 1286, 2554, 3595, 4486, 5534, 6701, 7732, 334, 1286, 2468, 3790, 4790, 5730, 7061, 7303, 334, 1248, 2595, 4113, 4863, 5548, 7017, 8098, 334, 2097, 2717, 3364, 4877, 5550, 6624, 8258, 541, 1633, 3026, 3966, 4681, 5257, 6608, 7806, 335, 1724, 3133, 3776, 4578, 5465, 6607, 7946, 716, 1637, 2678, 3776, 4344, 5797, 6604, 8262, 582, 1499, 2661, 3324, 4321, 5555, 7061, 7930, 545, 1494, 3091, 3427, 4539, 5976, 6762, 7473, 807, 2033, 2429, 3457, 4539, 5792, 6704, 8163, 807, 2033, 2461, 3669, 4556, 5729, 6225, 7673, 1052, 2067, 3033, 3413, 4364, 6132, 6456, 7613, 115, 1268, 2593, 3371, 5195, 5610, 6728, 7785, 952, 1146, 2818, 4153, 4828, 6050, 6998, 7863, 895, 2100, 2325, 3655, 5154, 5696, 6694, 7748, 319, 1316, 2953, 3712, 4365, 5980, 6659, 7851, 1084, 2051, 2926, 3697, 4800, 6002, 7219, 7882, 1062, 1932, 2151, 3952, 4510, 5403, 7001, 8039, 752, 1787, 2432, 3931, 5114, 6116, 6901, 7806, 684, 1991, 2586, 3994, 4895, 5413, 6810, 7887, 804, 1881, 2754, 3975, 4287, 6051, 7010, 8260, 308, 1791, 2326, 3982, 4890, 5635, 7162, 7720, 804, 1933, 3064, 3188, 5080, 5705, 7077, 7557, 833, 2073, 2957, 4124, 5169, 5678, 6966, 7279, 804, 1705, 2957, 3961, 4782, 6085, 6515, 7876, 308, 2041, 2957, 4068, 5038, 6129, 6996, 8076, 1037, 2063, 3110, 4018, 4980, 5612, 6589, 7887, 1091, 2042, 2709, 3838, 4290, 5875, 6646, 8068, 175, 1966, 2397, 3662, 5054, 5865, 6278, 8190, 150, 1171, 2315, 3524, 4574, 5758, 7086, 7945, 277, 1531, 2267, 3472, 5054, 5489, 6476, 8030, 83, 1151, 2495, 3427, 5092, 5782, 6340, 7602, 738, 1393, 2256, 3356, 4607, 5419, 6750, 7496, 1066, 1609, 2173, 3615, 4187, 6142, 6997, 7748, 1066, 1408, 2860, 3385, 4755, 5345, 7080, 8171, 223, 1700, 2834, 3619, 4506, 5744, 6943, 7984, 160, 1547, 2715, 3685, 5111, 5209, 7131, 8207, 1071, 1915, 2325, 4147, 4462, 5359, 7069, 7815, 1071, 1212, 2476, 3240, 4440, 5850, 6688, 8261, 778, 1499, 2858, 3977, 4195, 5671, 6262, 8083, 1033, 1224, 2296, 3822, 5044, 6120, 6902, 7565, 840, 1721, 2296, 4028, 5050, 5545, 6899, 8052, 887, 1630, 2868, 3845, 4470, 5641, 7023, 8031, 504, 1200, 2868, 3709, 5106, 5953, 7220, 7706, 1025, 1797, 3006, 3917, 4592, 5210, 7010, 7806, 288, 1915, 3098, 3826, 5106, 6211, 7010, 7528, 804, 1791, 3135, 4011, 5166, 5883, 6786, 7806, 231, 1965, 2516, 4125, 5073, 5352, 6547, 8132, 613, 1543, 3013, 4093, 4527, 5455, 6413, 7785, 504, 2118, 2734, 4027, 4708, 5603, 7188, 8099, 271, 2118, 2689, 3924, 4539, 5482, 6468, 7616, 271, 1596, 2953, 3503, 4924, 6062, 7215, 8139, 576, 1796, 2953, 3424, 4304, 6179, 6456, 7490, 699, 1826, 2566, 3248, 4846, 5325, 6655, 7855, 699, 2013, 2941, 3277, 4844, 5385, 6408, 8266, 654, 1345, 2562, 3359, 4870, 6086, 6889, 8227, 225, 1570, 2659, 4124, 5128, 5942, 6443, 7291, 699, 1424, 2792, 3416, 5138, 5992, 6875, 7641, 127, 2002, 3133, 3646, 4555, 5767, 6515, 8179, 127, 2078, 2880, 3623, 4764, 6110, 6371, 7811, 654, 2111, 2473, 3376, 4780, 5650, 7103, 8066, 654, 1853, 2729, 3332, 4615, 5515, 7146, 8179, 654, 2111, 2918, 3364, 4776, 6175, 6604, 7929, 518, 2118, 2316, 4106, 4696, 5624, 7152, 7664, 256, 1756, 2833, 3623, 4240, 5210, 7219, 7252, 731, 1606, 2718, 3248, 4700, 5863, 7127, 7899, 138, 1564, 3042, 3187, 4506, 5455, 7063, 8262, 545, 1558, 2502, 3434, 4358, 5297, 6898, 7468, 582, 1315, 2415, 3939, 4191, 5257, 6708, 8069, 986, 2047, 2142, 3159, 5145, 5224, 6692, 7756, 545, 1669, 2607, 3623, 5043, 5600, 7215, 7774, 582, 1315, 3080, 3623, 5036, 6130, 6889, 8040, 545, 1234, 2271, 3394, 4666, 5867, 6803, 7363, 582, 1280, 3080, 3332, 4321, 5591, 6938, 7740, 271, 1674, 2144, 3332, 4392, 5325, 6403, 7873, 1025, 1167, 2149, 3623, 4620, 5843, 6735, 8191, 610, 1116, 2311, 3749, 4240, 5366, 7234, 7899, 103, 1931, 2480, 3410, 4776, 6002, 6917, 8017, 103, 1399, 2355, 4103, 5138, 5223, 6448, 7980, 103, 1992, 2748, 4103, 4716, 5413, 6244, 7339, 103, 1369, 2593, 3551, 5138, 6113, 7079, 7620, 1056, 1164, 2163, 3413, 4364, 5746, 6547, 7482, 1056, 1706, 2936, 3756, 4186, 6101, 6671, 7878, 1056, 1265, 2941, 3873, 5120, 5357, 7010, 7664, 571, 1876, 3033, 3764, 4470, 5639, 7149, 7992, 779, 1705, 2941, 3516, 4622, 6039, 7163, 7865, 779, 2067, 2729, 3986, 4602, 5978, 6740, 7876, 308, 1943, 2941, 4006, 4622, 5832, 6958, 8260, 684, 1777, 2946, 4011, 4681, 5661, 6776, 7717, 915, 1998, 2803, 4145, 4555, 5883, 6996, 8066, 4, 2 ]

[ 1, 26, 5, 64, 20, 5, 31, 14, 66, 5, 53, 26, 5, 41, 63, 33, 54, 30, 78, 5, 43, 14, 30, 5, 52, 33, 41, 66, 5, 16, 54, 30, 5, 31, 14, 66, 5, 14, 54, 5, 20, 63, 30, 35, 52, 47, 5, 76, 11, 78, 5, 62, 52, 39, 64, 44, 55, 5, 64, 51, 63, 48, 54, 78, 5, 16, 28, 23, 66, 5, 17, 64, 5, 5, 3, 142, 2017, 2806, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2914, 3893, 4624, 6186, 7124, 7766, 967, 2060, 3064, 4145, 5166, 5981, 6889, 8083, 1005, 2060, 2777, 3909, 5012, 5580, 6346, 7642, 759, 1887, 2655, 4096, 4636, 5829, 6610, 7707, 495, 1653, 2552, 3261, 5113, 6073, 7086, 8065, 103, 1653, 2299, 3535, 5091, 5627, 6740, 7262, 1059, 1971, 2543, 3230, 5053, 5216, 6504, 7712, 699, 1286, 2341, 3749, 4376, 5657, 6710, 7396, 654, 1652, 2791, 3350, 4501, 5704, 7207, 8016, 654, 1719, 2904, 3861, 5081, 6160, 6612, 7749, 654, 1853, 2210, 3939, 4549, 6182, 6612, 7537, 654, 1386, 2278, 3348, 5138, 5548, 7024, 7718, 228, 2106, 3062, 3955, 4993, 5514, 6677, 7716, 552, 1468, 2792, 3363, 4304, 5223, 6430, 7821, 776, 1407, 2808, 3732, 5081, 5981, 6889, 8193, 752, 1865, 2777, 4110, 4234, 6142, 7033, 8261, 776, 1867, 2409, 3273, 4717, 5437, 6549, 7831, 277, 1156, 2840, 4130, 5095, 5334, 6935, 8258, 1008, 1897, 2135, 3922, 4605, 5227, 6504, 7928, 1011, 1693, 2873, 3413, 4803, 5496, 6252, 7592, 951, 1919, 2593, 4136, 4589, 6061, 7088, 7955, 1022, 1852, 3108, 3630, 5093, 5934, 7016, 7726, 1024, 1849, 2981, 3456, 4636, 5576, 6935, 7481, 970, 1897, 2449, 4078, 4787, 5603, 6774, 8054, 899, 2046, 2669, 3188, 4885, 5664, 7056, 8117, 707, 2060, 2709, 3236, 4641, 6204, 6965, 7658, 901, 1770, 2529, 3964, 5167, 5687, 6476, 8217, 708, 2059, 2589, 4078, 4292, 5421, 7184, 8073, 803, 1826, 2258, 3596, 4323, 5286, 6282, 7973, 976, 1490, 2494, 3755, 4762, 5765, 6672, 7261, 1052, 1496, 2487, 3634, 4724, 5424, 6474, 7291, 427, 2111, 2839, 3671, 4419, 5527, 6944, 7305, 818, 1620, 2960, 3886, 4877, 5981, 7132, 8195, 186, 2028, 2730, 4115, 4622, 5219, 6515, 8093, 818, 1475, 2925, 4145, 5104, 6131, 7239, 7764, 935, 2017, 2164, 3932, 4782, 5661, 6979, 7664, 935, 2073, 3095, 3886, 5166, 6195, 7006, 7631, 818, 1528, 3117, 3932, 4888, 5612, 6786, 7723, 956, 1791, 2803, 3710, 4583, 6085, 7124, 7876, 318, 1881, 2912, 3918, 4651, 6205, 6709, 7846, 1029, 1688, 2670, 4124, 4954, 5899, 6404, 7510, 988, 1681, 3003, 3988, 4841, 5730, 7227, 7841, 302, 1435, 3003, 3986, 4399, 5449, 6522, 8228, 1077, 2095, 2346, 3446, 4974, 5860, 6370, 8171, 807, 1434, 2602, 3219, 4449, 5574, 7126, 8044, 1024, 1732, 3001, 3413, 5040, 5517, 7198, 7989, 913, 2125, 3147, 3337, 5051, 5641, 7072, 7962, 552, 2060, 2924, 3886, 4622, 5837, 7125, 8260, 256, 2030, 2872, 3645, 4259, 5890, 6830, 8164, 518, 2106, 2473, 3361, 4762, 5296, 7132, 8150, 901, 2060, 2729, 4152, 4457, 5677, 6430, 7687, 901, 1386, 2899, 4030, 4467, 6156, 6291, 7341, 518, 1976, 2279, 4111, 4588, 6131, 7219, 7865, 518, 1865, 2833, 4071, 4638, 5908, 6906, 7749, 518, 2106, 2349, 4111, 5135, 5534, 7168, 7959, 878, 1112, 2868, 3662, 5145, 5630, 7201, 8236, 256, 2106, 2669, 4111, 4387, 5908, 6655, 7303, 967, 2106, 2669, 3932, 5159, 5527, 7201, 7717, 1033, 1173, 3147, 3475, 4652, 6205, 7005, 7555, 1067, 1555, 2332, 3841, 4461, 5433, 7177, 7953, 528, 1736, 2848, 3952, 4595, 5242, 7050, 7693, 1077, 1494, 2142, 4132, 4636, 5545, 7135, 7686, 559, 1785, 2902, 3605, 4562, 5589, 6271, 7786, 786, 1674, 2734, 3794, 4298, 5653, 6984, 8213, 672, 1434, 2607, 3934, 5074, 5706, 6666, 8045, 664, 1708, 3018, 3331, 4395, 5943, 6626, 8055, 884, 1732, 3018, 3398, 5081, 5215, 7081, 8055, 1057, 1708, 2927, 3930, 4321, 6026, 7123, 7809, 826, 1865, 2688, 3390, 4839, 5560, 6280, 7826, 826, 1865, 2401, 3707, 4388, 5413, 6998, 7740, 993, 1797, 2429, 3912, 4556, 5550, 7205, 7821, 271, 1708, 2758, 4126, 4464, 6024, 6704, 7865, 887, 1548, 3080, 3949, 4582, 6022, 6410, 8236, 504, 1782, 2730, 3533, 4828, 5444, 6376, 7865, 1029, 1915, 2432, 4137, 4292, 6220, 6379, 7664, 104, 1252, 3005, 4153, 4603, 5792, 6965, 7967, 1014, 1644, 2225, 3599, 4788, 5614, 7062, 8033, 654, 1252, 3147, 3237, 4859, 6178, 6435, 7248, 654, 1345, 2904, 3900, 4611, 5764, 7160, 8022, 195, 1756, 2562, 3394, 5080, 5896, 7051, 7716, 746, 1851, 2728, 3796, 4870, 6146, 7084, 7865, 153, 1804, 2137, 3955, 4877, 5385, 7014, 7421, 1005, 1186, 2856, 4074, 4589, 5866, 6671, 7859, 827, 1255, 2839, 3487, 4339, 5526, 6225, 7376, 693, 1849, 2951, 3751, 4758, 6185, 6898, 8121, 1036, 1494, 2309, 3765, 4880, 6022, 6328, 7809, 1080, 2055, 2335, 3237, 4526, 5325, 7073, 7809, 876, 1881, 2987, 4095, 4751, 5558, 6726, 7904, 779, 1269, 3109, 3578, 4918, 5381, 6761, 7476, 1099, 2046, 3135, 3803, 4334, 5824, 6774, 7831, 427, 1485, 2957, 3206, 4870, 5705, 6467, 7908, 143, 1564, 2725, 4098, 5091, 5215, 6603, 7805, 397, 1853, 2644, 3241, 4808, 5995, 6494, 7667, 776, 1237, 2652, 4154, 4677, 5963, 6463, 8117, 951, 1867, 3137, 3337, 4606, 6212, 6494, 8236, 970, 1415, 2678, 3536, 4713, 5551, 6694, 7971, 1011, 1881, 2975, 4078, 5129, 5653, 6564, 7256, 961, 1369, 2868, 3914, 4437, 5500, 6787, 7908, 547, 2063, 2455, 3869, 4858, 5413, 6614, 8078, 1009, 1828, 2708, 3934, 4496, 5701, 6391, 7394, 1080, 1828, 2751, 3399, 5106, 6046, 6571, 8069, 407, 1490, 2593, 3161, 4705, 5512, 6522, 8096, 407, 1472, 2574, 4147, 4937, 5323, 6872, 7622, 1017, 1140, 2721, 3570, 5180, 5288, 6456, 8262, 265, 1349, 2751, 3964, 4841, 5810, 6482, 7559, 265, 1349, 2383, 3596, 5137, 5474, 6851, 7901, 265, 1496, 2755, 3212, 4364, 5419, 6622, 7415, 603, 1510, 2642, 3531, 4800, 6166, 6898, 7908, 171, 1507, 2860, 4145, 4289, 6084, 6740, 8107, 186, 2065, 3007, 4171, 5129, 6081, 6776, 7290, 555, 1851, 2925, 4145, 4583, 5385, 6979, 7485, 552, 1851, 2926, 4145, 5129, 6110, 7218, 7992, 153, 1510, 3048, 3361, 4374, 5470, 6677, 7717, 552, 1937, 2473, 4096, 5138, 5677, 7158, 7574, 859, 2106, 3026, 3803, 4398, 6195, 7090, 8147, 201, 2111, 3021, 3825, 4704, 5963, 7152, 8147, 142, 2017, 2806, 3825, 4704, 5901, 6589, 8237, 488, 1622, 2806, 3893, 4624, 6139, 7077, 8223, 859, 1304, 2709, 3914, 4888, 5963, 6752, 8196, 403, 2098, 2918, 3390, 5153, 5865, 7100, 7994, 552, 1623, 2487, 3819, 5083, 5534, 6283, 7732, 555, 1468, 2833, 4145, 5007, 5436, 7129, 7782, 555, 1684, 2944, 3891, 4615, 5548, 7207, 7720, 915, 1623, 2729, 4071, 4870, 5677, 7077, 7715, 488, 1623, 2806, 3803, 4583, 5892, 6794, 7717, 488, 1622, 2806, 3825, 4624, 6139, 7226, 8223, 201, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4798, 5635, 6794, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 1648, 2164, 3893, 4624, 6186, 7207, 8196, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 915, 1851, 2164, 3893, 4798, 5493, 7077, 8196, 789, 1653, 2560, 3891, 4398, 6110, 6996, 8076, 1064, 1653, 2553, 3231, 4904, 6131, 6700, 8079, 373, 1499, 2991, 3891, 4555, 5865, 6704, 8209, 304, 1924, 3053, 3756, 4259, 5616, 7086, 8126, 610, 1797, 2946, 4166, 4592, 5892, 7004, 7537, 390, 1930, 2678, 3680, 4691, 5981, 6265, 7537, 373, 1541, 2750, 3233, 4877, 5418, 6249, 8031, 610, 1477, 2429, 3671, 5166, 5641, 6889, 7806, 1084, 1563, 2139, 3900, 4473, 6113, 6719, 8195, 992, 1426, 2483, 3259, 4541, 5558, 6917, 8154, 994, 1703, 2346, 3245, 4267, 5839, 6616, 8038, 161, 1808, 2953, 3648, 4485, 5934, 7054, 7930, 161, 1349, 2480, 3448, 4800, 5875, 6965, 7592, 774, 1636, 2574, 3448, 4790, 5759, 6267, 7690, 631, 1938, 2581, 3790, 5043, 5806, 6267, 7529, 693, 1938, 2710, 3765, 4683, 6204, 6762, 7815, 678, 2003, 2349, 4026, 5135, 5835, 6248, 8126, 272, 1248, 3039, 4030, 4881, 5606, 6959, 7650, 1057, 1496, 2865, 3602, 4604, 5746, 6870, 8090, 465, 1496, 2238, 3427, 4186, 6118, 6401, 7924, 895, 1871, 2378, 4126, 4803, 5716, 6970, 7957, 895, 1412, 3033, 4043, 4777, 6118, 6426, 7509, 536, 1708, 2678, 4153, 4470, 5653, 6670, 7495, 104, 1682, 2378, 3991, 4839, 6084, 6422, 7852, 299, 1717, 2455, 3167, 4791, 6194, 6774, 7442, 150, 2048, 2905, 3885, 4544, 5492, 6240, 7927, 1025, 1302, 2905, 4078, 4363, 5765, 6657, 7502, 936, 1777, 2929, 3233, 4293, 6052, 7072, 7447, 896, 2043, 2552, 4128, 5071, 5715, 6800, 7879, 1038, 1865, 2173, 4027, 4708, 5663, 6409, 8031, 83, 1582, 2689, 4014, 4743, 5337, 6234, 7549, 1008, 1594, 2816, 3845, 5081, 5746, 6929, 8049, 436, 1633, 2569, 3845, 5108, 5928, 6668, 7650, 436, 1106, 2676, 3222, 4963, 5597, 6745, 7827, 277, 1106, 2237, 3852, 4645, 5960, 6663, 8212, 664, 1106, 3090, 3503, 4222, 6066, 6966, 7710, 83, 1106, 2348, 3712, 5081, 5592, 6720, 8019, 888, 1867, 2979, 3816, 4595, 5733, 7190, 7397, 876, 1816, 2599, 3652, 5084, 5940, 6854, 8169, 123, 1831, 2301, 3605, 4273, 5418, 6251, 7966, 473, 2084, 3139, 3304, 5094, 5942, 6902, 7753, 91, 1146, 2874, 3189, 5095, 5633, 7059, 7840, 1022, 1753, 2905, 3660, 4216, 5700, 6476, 7291, 1057, 1299, 2856, 4141, 4741, 5982, 6741, 7702, 992, 1196, 2701, 4070, 4642, 6183, 6741, 7937, 888, 1196, 2511, 3309, 4738, 6053, 6476, 7817, 1008, 1404, 3066, 3703, 4981, 5315, 6734, 7733, 876, 1196, 3066, 3950, 4450, 6202, 6649, 7423, 458, 1146, 2597, 3605, 4361, 5933, 6828, 7271, 1001, 1582, 2597, 3169, 4244, 5804, 6965, 8041, 1005, 2050, 3003, 3233, 4706, 5699, 6803, 8069, 104, 1248, 2173, 3968, 5182, 5618, 6769, 7428, 104, 1828, 3147, 3167, 4273, 6073, 7203, 8184, 536, 1826, 2868, 3167, 4896, 6218, 7004, 7909, 536, 1283, 2312, 3522, 4282, 5512, 6678, 7561, 536, 1283, 2312, 4007, 4254, 5695, 7004, 7473, 536, 1442, 2487, 3465, 4985, 5658, 7229, 7826, 887, 1808, 2918, 3363, 4359, 6120, 6849, 8143, 887, 1635, 2565, 3413, 4350, 5481, 7085, 8129, 887, 1509, 2661, 3704, 4867, 5687, 6613, 7256, 887, 1318, 2860, 3829, 4586, 5687, 6750, 7720, 645, 1318, 3135, 3440, 5060, 5359, 7018, 7846, 1090, 1318, 2508, 3740, 5165, 5866, 6891, 7863, 961, 1620, 2993, 3975, 4440, 5378, 6750, 7807, 887, 1376, 2423, 4150, 4925, 5526, 6999, 7787, 887, 1840, 2503, 3323, 5142, 6120, 7194, 8210, 1084, 1269, 2983, 3578, 4440, 5538, 6665, 7910, 756, 1510, 2846, 4092, 4841, 6039, 6528, 7895, 228, 2034, 2289, 3475, 5135, 5589, 6734, 7826, 195, 1368, 2221, 3761, 4590, 6208, 6308, 8030, 228, 2065, 2221, 3822, 4890, 5950, 6895, 7483, 105, 1547, 2398, 3838, 5079, 6048, 6984, 7477, 945, 2097, 3144, 4166, 4583, 5901, 7239, 7677, 201, 2017, 2806, 4071, 4398, 6081, 7239, 8147, 488, 2017, 3117, 3914, 4798, 5892, 7077, 7766, 488, 2017, 2806, 4071, 4624, 6081, 6794, 8196, 818, 1528, 3117, 3710, 4798, 6085, 7132, 7723, 746, 1141, 2746, 3803, 5138, 5352, 6776, 7895, 153, 1205, 3137, 3662, 4574, 5712, 6895, 8055, 959, 1827, 2361, 3866, 5138, 6001, 6515, 7939, 942, 1721, 3130, 4085, 5023, 6120, 6880, 7995, 876, 1140, 2239, 4156, 4626, 6099, 7072, 7588, 876, 1695, 2974, 3268, 5096, 5689, 6520, 8065, 992, 2053, 2669, 3751, 4804, 5212, 6918, 7804, 887, 1388, 2817, 3307, 4804, 5297, 6895, 7881, 887, 1550, 2801, 4007, 4334, 5694, 7008, 7831, 103, 1550, 3129, 3298, 4282, 5474, 7059, 7852, 103, 2127, 2750, 3601, 4782, 5771, 6663, 7617, 568, 1570, 2282, 3945, 4638, 5435, 6985, 7898, 195, 1971, 2976, 3352, 4795, 5719, 6966, 7717, 568, 1756, 2542, 3798, 5143, 5795, 6740, 8080, 568, 2052, 2542, 3574, 5120, 5276, 7043, 7411, 518, 1287, 2370, 3754, 5193, 5987, 7090, 7717, 543, 1147, 2473, 3930, 4926, 5413, 6889, 7920, 859, 1147, 3059, 3394, 5120, 6110, 7207, 8205, 201, 2097, 3135, 3771, 4780, 5892, 7103, 8102, 571, 1750, 2729, 3516, 4622, 5904, 7239, 7303, 731, 1943, 2330, 3201, 4586, 5202, 6850, 7291, 940, 1982, 2313, 3410, 5095, 5832, 6849, 8260, 678, 1978, 2946, 3908, 5166, 5796, 7207, 8227, 887, 1858, 2357, 3206, 5106, 6131, 6241, 8085, 887, 1664, 2750, 3358, 5106, 5868, 6668, 8076, 678, 1978, 2731, 3973, 4573, 5219, 7090, 8245, 427, 1620, 2783, 3669, 4780, 6123, 7098, 7641, 552, 1797, 2895, 3866, 4918, 6182, 7006, 8080, 568, 1491, 2271, 3904, 4496, 5963, 7132, 7831, 654, 1349, 2454, 3528, 4870, 5514, 7103, 7547, 654, 1971, 2729, 3518, 4583, 5942, 7024, 8076, 228, 1719, 2616, 3798, 4622, 6076, 6889, 8266, 228, 2060, 2341, 3891, 4611, 5901, 6291, 8099, 518, 1756, 2565, 3891, 4870, 5719, 7069, 7563, 568, 1176, 2464, 3966, 4411, 5776, 7003, 7774, 403, 1176, 3147, 3994, 4522, 5844, 6612, 7260, 186, 2097, 2886, 3680, 4852, 5767, 7120, 7664, 945, 2017, 2806, 3893, 4798, 6186, 7226, 8147, 860, 1528, 2806, 3825, 4624, 5901, 6794, 7766, 860, 1528, 2806, 3825, 4704, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7226, 8237, 488, 1622, 2914, 3893, 4624, 6139, 7226, 7766, 100, 1874, 2679, 3516, 5007, 5848, 7041, 8173, 355, 1386, 2661, 4005, 4739, 5316, 6649, 8246, 405, 1141, 2792, 3226, 4291, 5410, 7221, 7626, 223, 1566, 2975, 3922, 4918, 5771, 7114, 7987, 1005, 1721, 2678, 3792, 4954, 5867, 7017, 7790, 1005, 1171, 2432, 3822, 4635, 5383, 6830, 7939, 104, 1510, 2315, 3911, 4595, 5660, 6875, 7846, 1025, 1732, 2918, 3533, 5026, 5678, 6899, 8117, 103, 1881, 2974, 3218, 4330, 5893, 6348, 8216, 103, 1808, 2847, 3704, 4533, 5435, 6935, 8189, 1025, 1655, 2222, 3885, 5139, 5474, 6235, 8231, 986, 1415, 2794, 4047, 5096, 5818, 7043, 7427, 1025, 1280, 2994, 3892, 4330, 6120, 6625, 7687, 778, 1858, 2751, 3502, 4691, 5752, 6443, 8043, 104, 1858, 2312, 3540, 4881, 5824, 6528, 7908, 1025, 1831, 2931, 3732, 4881, 6014, 6702, 8195, 610, 1640, 3061, 3560, 5125, 6179, 6614, 7658, 424, 1978, 2925, 4115, 4985, 6195, 6752, 7384, 1090, 1660, 2429, 3931, 4822, 6131, 7019, 7393, 610, 1110, 2429, 3931, 4374, 5221, 6786, 7631, 424, 1747, 2391, 3361, 5159, 5974, 6719, 7631, 980, 2079, 2834, 3298, 4588, 5667, 7058, 7732, 288, 1566, 2924, 4074, 5139, 6051, 7023, 7298, 899, 1992, 2783, 3838, 4877, 6222, 7207, 8107, 654, 1264, 3131, 4073, 4266, 5918, 6292, 7873, 654, 1467, 3091, 4125, 4321, 5752, 6895, 8082, 518, 2061, 3133, 3623, 5166, 5428, 6663, 7957, 256, 2061, 3133, 3771, 4344, 5865, 6970, 7811, 405, 1252, 2980, 4153, 4592, 5449, 7085, 7477, 373, 1349, 2552, 3398, 4609, 5436, 6476, 7677, 992, 1494, 3137, 3413, 5157, 5989, 6620, 7891, 373, 1463, 2394, 3593, 4759, 5865, 6229, 8140, 288, 1499, 2946, 3918, 4622, 5227, 6980, 7494, 1056, 1675, 3095, 3873, 5085, 6131, 7162, 7720, 308, 1218, 2980, 4171, 5165, 6211, 7047, 8135, 308, 1791, 3143, 4174, 4551, 6103, 6709, 8107, 887, 1175, 2678, 3883, 5115, 5436, 7047, 7965, 150, 1294, 2588, 3701, 4821, 5673, 6263, 7274, 494, 1865, 2435, 3230, 4662, 6020, 7140, 7311, 738, 1490, 2348, 3696, 4800, 5802, 7156, 7471, 1005, 1993, 2260, 3551, 4425, 6113, 7127, 7916, 1024, 1975, 2336, 3413, 5170, 6114, 6772, 7260, 371, 1770, 2593, 3940, 4337, 6050, 6435, 7709, 940, 1478, 2593, 4086, 4550, 5907, 6771, 8246, 1011, 1454, 2655, 3463, 4800, 5848, 6412, 7707, 678, 1913, 2129, 4067, 4713, 5981, 6502, 8174, 678, 2045, 2943, 3803, 5153, 5227, 6786, 7918, 1056, 1566, 3008, 4005, 5153, 5767, 6918, 8093, 427, 1847, 2340, 3671, 4359, 5565, 6776, 7816, 153, 1821, 2167, 3857, 4918, 5204, 6348, 7976, 970, 1758, 3106, 4006, 4955, 5950, 7120, 7848, 1011, 1791, 3026, 3421, 4993, 5398, 6889, 8269, 1024, 1742, 2272, 3658, 4737, 5362, 6324, 7962, 913, 2011, 3029, 3917, 4352, 6172, 6547, 7379, 662, 1653, 2940, 4147, 5011, 5468, 6851, 7261, 692, 1108, 2926, 4007, 4278, 5859, 6772, 7385, 1011, 1821, 2816, 3943, 4231, 6189, 6540, 8254, 1011, 1524, 2724, 3936, 4654, 5613, 6224, 8030, 510, 2111, 2803, 4150, 5080, 5470, 6806, 7614, 228, 1286, 2370, 3904, 4541, 6110, 6468, 7559, 228, 2065, 3133, 3332, 4863, 5935, 6486, 8253, 654, 2111, 2880, 3227, 4775, 6110, 7024, 7816, 654, 1424, 3021, 3914, 4344, 6137, 7133, 8076, 240, 1756, 2833, 3364, 4877, 5241, 7090, 7563, 240, 1575, 2833, 3803, 4859, 6110, 6996, 7303, 240, 1853, 2466, 3595, 4681, 5515, 6607, 7557, 543, 1851, 2792, 3535, 4681, 5493, 6809, 7509, 555, 1756, 2833, 3933, 4681, 5514, 6607, 7664, 555, 2111, 3021, 3595, 5159, 6062, 6607, 7677, 488, 2111, 2806, 3595, 4704, 6149, 6752, 8147, 201, 2017, 2806, 4071, 4704, 6139, 7077, 8196, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7226, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 51, 33, 62, 66, 5, 66, 33, 52, 44, 55, 5, 53, 48, 5, 31, 14, 66, 5, 26, 5, 76, 11, 78, 5, 41, 45, 54, 44, 65, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 7124, 7766, 555, 1844, 2970, 3226, 4366, 5635, 6604, 8223, 1090, 1332, 2984, 3975, 4870, 5436, 6408, 8101, 1040, 1457, 3045, 3580, 4339, 5313, 6765, 8251, 739, 1401, 2772, 3566, 4399, 5657, 6304, 7692, 559, 1778, 2158, 3172, 4399, 5499, 6895, 7427, 487, 1812, 2751, 3486, 4211, 5346, 6856, 7827, 1025, 1982, 2429, 3961, 4942, 5971, 7246, 8093, 1090, 1682, 3080, 3955, 5067, 6094, 6521, 7317, 1090, 1682, 2366, 3955, 4287, 6203, 6393, 8099, 1090, 1797, 2315, 3175, 4852, 5548, 6854, 7614, 427, 2000, 2936, 3188, 4713, 6137, 6786, 7717, 859, 1635, 2332, 3803, 4374, 5811, 7019, 8069, 859, 1468, 3135, 3645, 4387, 5832, 6584, 7591, 956, 1620, 3043, 3827, 4265, 5678, 6980, 8066, 865, 1895, 2706, 4080, 5176, 5506, 6262, 7612, 183, 1933, 3144, 3352, 4589, 5579, 6740, 8107, 271, 1692, 3021, 4000, 4556, 5521, 7135, 7684, 546, 1397, 2411, 3792, 4531, 5222, 6878, 7690, 1078, 1561, 2194, 3635, 4604, 6220, 6655, 8171, 113, 1283, 2689, 4167, 4604, 5397, 7037, 8019, 171, 2057, 2357, 4133, 4225, 5630, 6632, 8134, 510, 1286, 3022, 3201, 4512, 5250, 6674, 8245, 427, 1526, 2833, 3558, 4681, 5865, 6774, 8164, 984, 1376, 2775, 4145, 5166, 6195, 6786, 7753, 552, 1874, 2729, 3710, 5129, 6182, 7207, 8252, 153, 1845, 3132, 3403, 5083, 5436, 7129, 8195, 484, 1752, 2996, 3827, 4529, 5630, 6454, 8076, 488, 1528, 2914, 3893, 4630, 5219, 6852, 7717, 935, 1528, 2991, 3893, 4912, 6070, 7239, 7806, 859, 2017, 3095, 4026, 4888, 5536, 7006, 8185, 276, 1996, 2181, 4078, 4681, 5730, 6520, 7781, 225, 1452, 2542, 3455, 4782, 5436, 6840, 7427, 183, 1490, 2761, 3955, 4344, 5719, 6414, 7532, 356, 1845, 2880, 3596, 4583, 5493, 6443, 7563, 223, 1349, 2556, 3512, 4215, 5929, 6776, 7304, 1006, 1349, 2297, 3762, 4948, 5508, 6687, 8117, 930, 1557, 2297, 3690, 4979, 5445, 6248, 8120, 888, 1702, 2986, 3843, 4464, 5440, 6675, 7496, 763, 1137, 2587, 3217, 4383, 5223, 7208, 7518, 992, 1720, 2868, 3859, 5064, 5255, 6838, 7317, 620, 1408, 2173, 4142, 4696, 6004, 7091, 7333, 545, 1972, 2712, 4015, 4675, 5461, 6886, 7873, 582, 1912, 2937, 4005, 4395, 6217, 6605, 7643, 504, 1110, 2173, 3358, 5020, 5876, 6396, 7930, 840, 1543, 2896, 3454, 4395, 6082, 6694, 7270, 884, 1507, 2759, 3254, 4321, 5852, 6466, 8103, 807, 1434, 3089, 3329, 4562, 5644, 7215, 7585, 807, 1118, 3097, 3307, 4539, 5852, 6373, 7839, 807, 1118, 3116, 3491, 4415, 6109, 6849, 8061, 271, 1808, 2440, 3341, 4539, 6135, 7164, 7513, 610, 1139, 2946, 3964, 4918, 5585, 6871, 7756, 778, 1771, 2429, 3962, 4622, 5761, 7207, 7804, 887, 2053, 2492, 3321, 4710, 5260, 6809, 7804, 104, 1858, 2727, 3692, 4691, 6183, 7111, 7591, 887, 1777, 2552, 4031, 4389, 5890, 6283, 7341, 150, 1320, 2940, 3201, 4697, 5305, 7041, 7582, 807, 1951, 2799, 3751, 5187, 5574, 6860, 7291, 487, 1768, 2543, 3986, 4395, 5715, 6800, 7270, 582, 1778, 3074, 3756, 4586, 5908, 6764, 7298, 397, 2081, 2607, 4079, 5109, 5415, 6983, 7800, 913, 1807, 2268, 4174, 4350, 5413, 6348, 8266, 970, 1411, 2163, 4015, 4381, 6222, 6486, 7823, 804, 1998, 2991, 4096, 4859, 5883, 6898, 7557, 804, 2000, 2783, 4085, 5088, 5573, 6752, 8085, 804, 1992, 3008, 4026, 4681, 5687, 7149, 7723, 1102, 1370, 3095, 3498, 4316, 5610, 6891, 8126, 970, 1265, 2391, 3909, 5079, 5658, 6702, 7519, 1067, 1826, 2509, 3459, 5110, 5432, 6348, 7616, 339, 1397, 2881, 3306, 4468, 5318, 6551, 7849, 884, 1302, 2522, 3690, 4724, 6101, 6325, 7367, 725, 1557, 2431, 3536, 4368, 5620, 6875, 7528, 970, 2043, 3037, 3795, 5178, 5223, 6574, 7454, 304, 1596, 2803, 3645, 4812, 5433, 6605, 7706, 1102, 1557, 2321, 3217, 4285, 5436, 6870, 7831, 840, 1702, 3103, 3718, 4906, 5438, 6286, 7437, 1080, 1728, 2331, 3567, 4462, 5480, 6698, 8026, 775, 1773, 2581, 3751, 4289, 5507, 6440, 7449, 873, 1490, 3001, 3648, 5184, 5710, 6744, 7348, 775, 1773, 2810, 3763, 4642, 5646, 7127, 7371, 581, 1968, 2725, 4155, 5177, 6015, 7212, 8238, 774, 1496, 2769, 3966, 4972, 6095, 6875, 7747, 1030, 1557, 2633, 3239, 4865, 6003, 7089, 7916, 333, 1120, 3080, 4156, 4621, 6124, 6935, 7751, 970, 1723, 2282, 3418, 5141, 6166, 6393, 7363, 504, 1407, 2421, 3507, 4946, 5378, 6398, 7720, 678, 1318, 3043, 3240, 4859, 5385, 6302, 7720, 1011, 1897, 2912, 3175, 5189, 6014, 6820, 7690, 938, 1318, 2732, 3856, 4697, 5947, 6765, 7677, 938, 1833, 2867, 3466, 4643, 6105, 6772, 8214, 864, 1490, 2376, 3709, 4381, 5447, 6308, 7371, 1080, 1828, 2775, 3236, 4426, 6054, 6293, 7469, 942, 2095, 3055, 3205, 4191, 5204, 7096, 7976, 225, 1171, 3008, 4026, 4710, 5611, 7149, 7588, 225, 2002, 2356, 3511, 4576, 5347, 6991, 7275, 654, 2002, 2869, 3555, 4259, 5650, 6576, 7838, 228, 1525, 2669, 3533, 4512, 5677, 6607, 7557, 518, 1710, 2221, 3364, 4192, 5856, 6486, 7707, 568, 1426, 2775, 4153, 4549, 5864, 6607, 8179, 256, 1758, 2970, 3777, 5143, 5730, 6584, 7537, 256, 1736, 3006, 3374, 5157, 6205, 7047, 8147, 256, 1750, 2340, 3645, 4398, 5223, 6717, 7664, 878, 1851, 2729, 4150, 4412, 5466, 6671, 7676, 440, 1635, 3006, 3201, 5088, 6110, 6740, 8130, 518, 2098, 2869, 3879, 5167, 5630, 7084, 7727, 403, 1644, 2761, 3994, 4872, 5987, 7035, 7786, 535, 1663, 2218, 3978, 4569, 5440, 6452, 8039, 870, 1349, 2392, 3747, 4319, 5205, 6466, 7452, 480, 1815, 2861, 3934, 4631, 5580, 7169, 7364, 582, 1231, 2660, 3422, 4825, 5492, 6756, 7810, 335, 1120, 2932, 3826, 4890, 5459, 6477, 7957, 391, 2024, 2727, 3717, 4191, 5216, 6809, 8236, 643, 1797, 3007, 3271, 4441, 6014, 7232, 7869, 465, 2008, 2660, 3424, 4534, 5703, 7004, 7919, 986, 1581, 2905, 3936, 5052, 5940, 6512, 8239, 231, 2107, 2850, 3162, 5167, 5352, 6393, 7531, 440, 1186, 2740, 3952, 4881, 5660, 6298, 7363, 103, 1280, 2355, 3162, 5026, 5778, 7103, 7679, 510, 1125, 2492, 3374, 4374, 6051, 7127, 7816, 859, 1562, 2542, 4018, 4980, 5911, 6967, 8164, 757, 1652, 2858, 4166, 4762, 5296, 6668, 7920, 118, 1112, 3147, 3217, 4870, 5599, 6365, 7838, 118, 1597, 2944, 4026, 4872, 5296, 6752, 7732, 183, 1623, 2542, 4015, 4387, 5935, 7182, 8046, 183, 1898, 3028, 3374, 4877, 5586, 6338, 7717, 256, 1750, 2970, 3555, 5083, 5223, 7168, 7732, 789, 1974, 3028, 3844, 5083, 5534, 6762, 7485, 105, 1461, 2970, 4113, 5159, 5963, 7024, 7717, 915, 1461, 2970, 3933, 4412, 5892, 6752, 8132, 183, 1461, 2833, 3364, 4459, 5548, 6380, 7732, 568, 1623, 2562, 3555, 4622, 5678, 6988, 7259, 859, 1652, 2340, 4168, 4512, 5892, 6671, 7660, 555, 1349, 2506, 3827, 4918, 5534, 6604, 7716, 488, 2111, 2944, 3827, 4423, 5901, 6677, 8080, 860, 2017, 3065, 3825, 4704, 6139, 7207, 8223, 860, 1528, 2806, 3825, 4624, 6139, 6794, 8223, 142, 1528, 2806, 3825, 4624, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2970, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 20, 52, 5, 31, 16, 5, 62, 33, 66, 47, 5, 30, 63, 17, 42, 63, 47, 78, 5, 76, 45, 29, 5, 53, 17, 64, 66, 5, 28, 48, 5, 30, 17, 54, 5, 16, 54, 30, 5, 76, 45, 29, 5, 54, 57, 5, 76, 17, 54, 5, 76, 45, 65, 44, 78, 5, 66, 73, 5, 30, 73, 5, 5, 3, 945, 1528, 3065, 3825, 4704, 6211, 6752, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8147, 186, 2032, 3065, 3893, 4398, 6129, 7077, 8147, 391, 1737, 2261, 3420, 4891, 5869, 6608, 8095, 975, 1469, 2304, 4173, 4214, 6190, 6842, 7889, 547, 1469, 2633, 3164, 4223, 5476, 7247, 7628, 864, 1912, 2546, 3847, 4238, 5446, 6306, 7450, 344, 1383, 2712, 3992, 5108, 5287, 7135, 7609, 763, 1251, 2712, 4010, 4368, 5603, 6306, 7651, 864, 1190, 2824, 3554, 4722, 5934, 7205, 8226, 1008, 1190, 3078, 3790, 4866, 5205, 6514, 7849, 1008, 1440, 2437, 3509, 4803, 5925, 7069, 8227, 1016, 1469, 2578, 4117, 4338, 6103, 6582, 7582, 1016, 1805, 2961, 3345, 4722, 5934, 6932, 8064, 277, 1440, 2603, 3685, 5027, 5917, 6724, 8131, 1008, 1183, 2189, 4076, 4574, 5360, 6283, 7521, 547, 1469, 2697, 3674, 4570, 5889, 6796, 8197, 779, 1405, 3040, 3806, 4388, 6023, 7167, 8140, 401, 2024, 2729, 3945, 4221, 5245, 7217, 7547, 684, 1370, 2167, 3992, 4822, 5802, 7152, 8099, 537, 1776, 2554, 3945, 4987, 5824, 7219, 7494, 1024, 1585, 2137, 3533, 4423, 6071, 6251, 7752, 1067, 1199, 2587, 3727, 4428, 6071, 6728, 7423, 332, 1509, 2137, 4043, 4982, 5909, 7144, 7724, 692, 1867, 3040, 3908, 5153, 5603, 6637, 8088, 512, 1871, 2860, 3886, 5104, 5702, 6251, 7717, 956, 1747, 3006, 4174, 5080, 5968, 6809, 7481, 914, 1175, 2989, 3945, 5061, 6051, 7006, 7421, 818, 2068, 3043, 3226, 4276, 6123, 7201, 7570, 935, 1992, 3110, 3886, 5159, 6103, 6972, 8185, 818, 1175, 2957, 4018, 4782, 6182, 6979, 7557, 510, 2017, 2960, 3710, 4822, 6025, 6972, 8185, 427, 1871, 2960, 4150, 5060, 5635, 6979, 8237, 120, 1349, 2675, 3446, 5181, 5421, 6592, 8095, 552, 1310, 2989, 4001, 4443, 5436, 7047, 8248, 175, 1318, 2725, 3541, 4827, 5364, 6861, 7256, 660, 2118, 2384, 3394, 4307, 5353, 6555, 7727, 448, 1457, 2771, 4058, 4364, 5422, 6409, 8153, 261, 1411, 2137, 4061, 5092, 5303, 7073, 7911, 640, 1442, 3105, 3651, 5185, 5354, 6660, 7785, 249, 1695, 2547, 3888, 4839, 6203, 7106, 7263, 725, 1695, 3085, 3343, 4690, 5224, 7165, 8075, 512, 1564, 2833, 3973, 4383, 5811, 6515, 7764, 103, 1562, 2239, 3826, 5135, 5777, 6465, 7764, 643, 1174, 2872, 3394, 4606, 6194, 6474, 7527, 1101, 2008, 2128, 3596, 4604, 5550, 6809, 7438, 386, 1896, 3017, 3174, 5042, 6034, 6334, 7728, 807, 1140, 2456, 3488, 4424, 6118, 7202, 7488, 545, 1688, 2309, 3476, 5097, 6034, 6632, 8221, 487, 1797, 2369, 3329, 4664, 5606, 6526, 8197, 986, 1548, 2346, 4130, 4344, 5441, 6623, 8099, 986, 1777, 2958, 3254, 4717, 6002, 6315, 8215, 970, 1807, 2144, 3570, 5026, 5706, 7014, 7810, 1081, 2008, 3059, 4096, 4764, 6077, 7012, 7537, 684, 1280, 2943, 3982, 4993, 6146, 6734, 7965, 684, 1175, 2946, 3918, 4980, 5694, 6646, 7949, 804, 2063, 3021, 4108, 5061, 6211, 6979, 8237, 308, 1280, 2946, 3516, 5061, 5832, 7095, 7723, 153, 2063, 2709, 4174, 4630, 6137, 7162, 7723, 541, 1264, 2920, 3232, 5150, 5863, 6934, 7369, 878, 1141, 3133, 3671, 4855, 5557, 6765, 7907, 541, 1540, 2163, 4155, 4954, 5608, 6338, 8245, 613, 1736, 3133, 3392, 4670, 5482, 6434, 7885, 613, 1145, 2843, 3592, 4855, 5974, 6468, 8117, 536, 1608, 2694, 3339, 4580, 5816, 6536, 8117, 299, 1239, 2330, 4073, 5073, 5965, 7059, 7452, 840, 1842, 2905, 3619, 4855, 5272, 6366, 7413, 1060, 1865, 2847, 4015, 4338, 5927, 6457, 7745, 360, 1141, 2979, 3284, 4905, 5584, 6691, 7669, 458, 1682, 2175, 3357, 4647, 5745, 7029, 8156, 875, 1826, 2154, 3641, 5188, 5745, 6571, 7501, 465, 1397, 2897, 3864, 4459, 5759, 7012, 7498, 405, 1492, 2487, 3811, 4912, 5344, 6918, 7873, 804, 1881, 2293, 3488, 5183, 5614, 6575, 7641, 833, 1913, 2866, 3231, 4622, 5548, 7059, 7631, 225, 1933, 2996, 3973, 5135, 5830, 6740, 7574, 225, 1269, 2468, 3789, 4192, 5521, 7095, 8239, 118, 1724, 2384, 3929, 5081, 5844, 6802, 8206, 757, 1675, 2935, 3566, 4925, 5865, 6574, 7772, 610, 1403, 2801, 3824, 5020, 5474, 6581, 7934, 938, 1171, 2254, 3744, 4777, 5594, 7207, 8219, 641, 1171, 2736, 4123, 4671, 5438, 6579, 8203, 778, 1770, 2940, 3967, 4903, 5512, 6615, 7772, 104, 1463, 2261, 3870, 4195, 5585, 6239, 7261, 1057, 1972, 2905, 4070, 4324, 5474, 6338, 7976, 887, 1403, 2878, 3455, 5072, 5810, 6811, 7509, 1005, 1794, 2716, 3273, 4521, 6206, 6435, 7873, 271, 1335, 3026, 4153, 5045, 6050, 6842, 7862, 936, 1732, 2455, 3327, 4919, 5280, 6878, 7963, 993, 1510, 2688, 3434, 4788, 5631, 6789, 8084, 876, 1732, 2751, 3547, 4626, 5221, 6625, 7430, 1040, 1806, 2552, 3824, 4734, 5398, 6840, 8070, 992, 2053, 2751, 3599, 4985, 5563, 6853, 7524, 986, 1239, 2751, 4080, 5142, 5561, 6856, 7442, 986, 1808, 2589, 4007, 4270, 5745, 6601, 8241, 536, 1550, 2787, 3167, 4259, 5751, 6273, 7826, 807, 1773, 2996, 4007, 4602, 5697, 7130, 7515, 536, 1942, 2520, 3886, 4774, 5899, 7125, 7846, 104, 1834, 2154, 4089, 4711, 5512, 6313, 8078, 536, 1834, 2695, 4096, 4440, 5993, 6923, 8129, 887, 2053, 2801, 3421, 4282, 5993, 7009, 7880, 887, 2053, 2589, 3943, 4804, 5318, 6382, 7957, 887, 1782, 2751, 3728, 5042, 5547, 6376, 7409, 150, 1282, 2282, 3642, 5115, 6050, 6840, 7962, 150, 1282, 2366, 3376, 4711, 5512, 6560, 7578, 1081, 1282, 2282, 3243, 4954, 5540, 6840, 7948, 317, 1339, 2241, 3592, 4392, 5810, 6736, 7898, 225, 1649, 2579, 3741, 5103, 5464, 6884, 8079, 518, 1924, 2356, 3407, 5164, 5751, 7100, 8213, 654, 1924, 2729, 3394, 4948, 5942, 6443, 8083, 240, 2030, 2380, 3391, 4344, 5210, 6579, 7664, 256, 1923, 2340, 3470, 5080, 5385, 6717, 7570, 617, 1210, 2529, 3914, 5138, 5219, 6809, 7462, 818, 1752, 2560, 3788, 4681, 6085, 7100, 8185, 818, 2000, 2991, 3391, 4398, 5705, 7077, 7485, 818, 2000, 3117, 4011, 5038, 5241, 6996, 7715, 512, 1945, 2895, 3961, 4896, 5340, 6515, 8076, 160, 2001, 2860, 3176, 4782, 5694, 7217, 7563, 271, 1981, 2840, 3398, 4379, 5523, 7024, 8010, 936, 1499, 2736, 3472, 4525, 5670, 6683, 7482, 936, 2059, 2736, 3504, 4578, 6082, 6976, 7801, 884, 1732, 2378, 4117, 4350, 6135, 6870, 7972, 585, 1906, 2751, 3300, 4743, 6005, 6944, 7451, 356, 1995, 2801, 3967, 4510, 5998, 6544, 7849, 789, 1608, 2970, 3987, 4601, 6182, 6604, 8164, 225, 1349, 2740, 3930, 5142, 6195, 6734, 7492, 334, 1269, 2139, 3180, 4926, 5837, 6772, 7797, 334, 1958, 2287, 3666, 4949, 5684, 6715, 7254, 541, 1958, 2500, 3966, 5120, 5218, 6584, 7276, 153, 2002, 2210, 4111, 4790, 5767, 7024, 7887, 552, 1510, 2975, 3420, 4673, 5210, 6604, 8262, 484, 1623, 2729, 3891, 4225, 6149, 7168, 7716, 914, 1623, 3128, 3827, 4592, 5968, 6988, 8266, 223, 1755, 2144, 4145, 4895, 5548, 6988, 8083, 160, 1640, 2163, 3488, 5088, 6094, 6501, 8054, 778, 1336, 2902, 3793, 4321, 6170, 6768, 8257, 104, 1685, 3003, 3306, 4834, 5917, 6908, 7927, 1035, 1915, 2678, 3771, 4431, 6171, 7030, 7558, 778, 1255, 2794, 3610, 4276, 5730, 6614, 7978, 104, 1831, 2837, 3469, 4912, 5632, 6302, 7655, 1025, 1685, 2716, 4067, 4179, 5325, 7008, 7996, 778, 1692, 2429, 3906, 4859, 5300, 6396, 8126, 778, 1755, 2661, 4078, 5193, 5435, 6540, 7954, 535, 1499, 3072, 3442, 4893, 5972, 7047, 8132, 535, 1199, 2460, 4044, 4635, 5938, 7031, 8173, 360, 1840, 2689, 3398, 4728, 5733, 6536, 7512, 895, 1603, 2365, 4147, 4341, 6005, 6568, 7875, 1101, 2008, 2296, 3250, 4364, 6101, 7179, 7551, 776, 2000, 2738, 3868, 4902, 5471, 6580, 7676, 776, 1596, 3008, 4039, 4635, 5550, 6771, 7807, 576, 1736, 2867, 4089, 4637, 6026, 6412, 7547, 334, 2061, 2317, 4103, 4486, 6101, 6584, 8132, 518, 2127, 3133, 3582, 5138, 5296, 7232, 7944, 518, 1756, 2554, 3891, 5120, 5976, 6752, 7303, 256, 1858, 2356, 3886, 5159, 6137, 6607, 7865, 789, 1620, 2946, 3595, 5167, 5296, 6604, 7716, 419, 2017, 2946, 3838, 4387, 5901, 6668, 7303, 543, 2106, 2473, 3588, 4592, 5767, 6717, 8085, 1056, 1752, 2499, 3610, 5169, 5376, 7095, 7919, 945, 1528, 2806, 4108, 4888, 6139, 6996, 8196, 956, 2017, 3043, 3825, 4888, 6139, 6996, 7876, 304, 1750, 3043, 3710, 5038, 6146, 7201, 8083, 211, 1804, 3128, 4166, 5012, 6211, 6709, 8185, 326, 1601, 2828, 4168, 4430, 5373, 6265, 7753, 386, 1732, 2940, 3182, 4362, 6163, 6348, 7887, 986, 1561, 2607, 4106, 5009, 5824, 7175, 8051, 986, 1388, 2710, 3316, 4934, 6002, 6611, 7402, 545, 2009, 2515, 4162, 4258, 6194, 6840, 7604, 986, 2081, 2678, 4039, 4764, 5433, 7013, 7442, 643, 1773, 2142, 4155, 4877, 5390, 6337, 7964, 308, 1688, 2695, 3914, 4762, 5705, 6988, 8260, 955, 1399, 2880, 3866, 4551, 5635, 7207, 7764, 757, 1964, 2924, 3885, 4727, 6128, 6625, 7971, 465, 2024, 2422, 3591, 5091, 5548, 7193, 7785, 540, 1397, 2332, 3525, 4691, 6146, 6571, 7913, 535, 1557, 3029, 3298, 4694, 6116, 6957, 8040, 631, 2045, 2893, 3370, 4364, 5953, 7227, 7578, 293, 2008, 2231, 3669, 4364, 5293, 6934, 8254, 494, 1393, 2491, 3663, 5124, 5810, 6827, 7736, 738, 1490, 3010, 3506, 5054, 6135, 6730, 7839, 1041, 1682, 2875, 4008, 4678, 5810, 7228, 8189, 271, 1309, 2247, 4053, 5140, 5594, 6659, 7639, 1057, 1468, 2757, 3493, 5138, 6121, 6871, 7703, 1084, 2059, 2974, 3718, 4256, 6002, 7018, 7422, 536, 1299, 2309, 4063, 4843, 5512, 6546, 7994, 1005, 1189, 2924, 3214, 4350, 5799, 6871, 7822, 993, 1770, 3029, 3322, 5124, 5585, 7094, 8128, 864, 1141, 2348, 3240, 4364, 5570, 7181, 8227, 1005, 1315, 3080, 3513, 4713, 6007, 6735, 7821, 610, 1685, 2688, 3271, 4536, 5788, 6413, 7936, 778, 1932, 2661, 3984, 4536, 5366, 6550, 7336, 104, 1141, 2899, 3540, 4966, 5204, 6651, 7336, 1025, 1403, 2436, 3498, 4359, 5527, 7019, 7687, 826, 1633, 2800, 4096, 5144, 5204, 7138, 8093, 150, 1141, 3101, 4082, 4343, 6118, 6567, 8263, 887, 1978, 2946, 3929, 5153, 5648, 7019, 7248, 104, 1660, 2610, 3991, 4861, 5614, 6911, 7941, 1025, 1494, 2944, 3771, 4426, 5425, 6302, 7547, 884, 1915, 3092, 3771, 4224, 5440, 7049, 7473, 884, 2079, 3150, 3329, 4345, 5913, 6903, 8263, 884, 1463, 2748, 4112, 4672, 5610, 6292, 7376, 319, 1212, 2751, 3956, 4274, 5702, 6610, 8143, 1057, 1675, 3058, 3452, 4321, 5346, 6723, 7956, 1084, 1323, 2675, 3287, 4573, 5527, 6951, 7792, 833, 1139, 2238, 3793, 4822, 5811, 6467, 7764, 804, 1750, 2820, 4011, 4822, 5819, 7090, 7948, 818, 1998, 2947, 3886, 4870, 6103, 6979, 8093, 956, 1998, 2803, 4114, 4630, 6139, 6972, 7591, 818, 1620, 3117, 3710, 4798, 5612, 7201, 8185, 818, 2017, 3095, 3886, 4822, 6182, 7077, 8179, 818, 1622, 2914, 3886, 4822, 6139, 7239, 7766, 818, 1648, 2914, 3825, 4624, 6139, 6996, 8147, 915, 2111, 2914, 3827, 4798, 5534, 6979, 7723, 915, 1528, 2833, 3914, 4782, 6139, 6589, 7766, 915, 1622, 2833, 3825, 4512, 6139, 6996, 8196, 555, 1684, 3064, 3825, 4798, 6103, 6996, 8261, 915, 2017, 2833, 3825, 4512, 6139, 6996, 8223, 915, 2017, 2164, 3914, 4624, 5241, 6584, 7766, 488, 1528, 2164, 3893, 4624, 5241, 7124, 7766, 488, 1528, 2833, 3893, 4624, 6139, 7226, 8147, 488, 1528, 2164, 3893, 4870, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1528, 3065, 3893, 4870, 6139, 6794, 7485, 488, 1528, 2833, 3893, 4624, 6081, 7124, 7766, 488, 1648, 2806, 3893, 4870, 6139, 7226, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 8196, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 475, 2111, 2941, 4166, 4888, 6110, 6752, 8237, 645, 1847, 2542, 3277, 4966, 5610, 6442, 7810, 1064, 1906, 2839, 3171, 4664, 5752, 6879, 7305, 1064, 1695, 2584, 3995, 4926, 5704, 6771, 8161, 831, 1669, 2755, 3922, 4709, 5980, 6615, 7481, 335, 1770, 2940, 3931, 4592, 6007, 6677, 7494, 391, 1244, 2629, 3540, 4757, 5704, 7112, 7474, 216, 2102, 2860, 4145, 5165, 5824, 6884, 8126, 512, 1869, 2803, 3917, 5088, 5493, 7218, 8080, 779, 1804, 2381, 3866, 5061, 6014, 6871, 8076, 211, 1363, 3128, 3982, 4912, 6211, 6668, 8076, 571, 2020, 2803, 3188, 4366, 5694, 6972, 7806, 1057, 1198, 2793, 3502, 4379, 6220, 6998, 7988, 547, 1407, 2320, 4105, 5191, 5778, 6247, 7271, 504, 1315, 2890, 4128, 4932, 5672, 6241, 7779, 692, 1531, 2629, 3274, 4777, 6105, 6767, 7478, 970, 2118, 2481, 3955, 4993, 5929, 7221, 8069, 970, 1126, 2254, 3789, 4365, 5802, 6622, 7816, 1056, 1834, 2254, 3662, 5192, 5767, 7162, 7577, 1097, 2068, 3008, 4114, 4782, 6175, 7120, 8085, 510, 1992, 2943, 3188, 5061, 5534, 6752, 8260, 105, 1992, 2970, 3914, 4918, 5548, 6348, 7557, 568, 1633, 2181, 3391, 4482, 5219, 6486, 7367, 183, 1790, 2664, 3900, 4912, 5581, 6604, 7485, 183, 1958, 2565, 3225, 5043, 5438, 6348, 7737, 183, 2106, 2542, 3225, 4700, 6205, 7100, 8187, 183, 1269, 3021, 3765, 4681, 5924, 6909, 8102, 568, 1633, 3021, 3798, 4443, 5733, 6812, 7442, 183, 1452, 2946, 4153, 4622, 5767, 7114, 7717, 118, 1286, 2491, 3771, 4541, 5548, 6909, 7442, 757, 2127, 2717, 3595, 4486, 5493, 7229, 8016, 757, 2127, 3133, 3827, 5138, 5767, 6607, 7367, 757, 1954, 2542, 3552, 5097, 5837, 6965, 7376, 757, 1623, 2880, 3827, 5138, 5887, 7160, 7498, 757, 1858, 2656, 4089, 4877, 5689, 6810, 7645, 617, 1623, 2880, 4137, 4863, 5474, 6810, 8031, 617, 1633, 3144, 3827, 5138, 5493, 6607, 7838, 859, 1623, 2729, 3277, 4512, 5677, 7090, 7723, 818, 1623, 2806, 3803, 4704, 5241, 7124, 7476, 915, 2017, 2946, 3827, 4624, 6175, 7226, 8237, 915, 2017, 2914, 3827, 5088, 5901, 6752, 8196, 956, 1648, 3117, 4145, 4980, 6182, 6996, 8196, 684, 2041, 3135, 4145, 5159, 6123, 7201, 8237, 335, 1508, 3064, 4097, 4583, 5705, 6771, 7485, 731, 1874, 3053, 4145, 4890, 5241, 7207, 8260, 767, 1446, 2970, 4145, 4447, 5573, 6515, 7870, 216, 1686, 2946, 4041, 5106, 6025, 6377, 7508, 335, 1856, 2980, 4145, 5098, 6156, 6871, 8126, 731, 1874, 3053, 4145, 5153, 5767, 7006, 8126, 767, 1446, 2946, 4085, 4447, 5573, 6302, 7723, 216, 1686, 2946, 3430, 4455, 5968, 6771, 7706, 1098, 1600, 2222, 3928, 4225, 5929, 6819, 7992, 864, 1490, 2961, 3395, 4662, 5865, 6771, 7413, 547, 1199, 2152, 3704, 4467, 5634, 7241, 7709, 938, 1199, 2613, 3360, 5190, 5716, 7213, 8019, 938, 1469, 2855, 3556, 4972, 5840, 6622, 8017, 271, 1727, 2133, 4147, 4834, 5829, 6359, 8143, 150, 1848, 2963, 3908, 5184, 5570, 6272, 7632, 150, 1940, 2490, 3282, 4942, 6204, 6942, 7502, 1081, 1251, 2567, 3152, 5054, 5924, 7100, 7385, 887, 1120, 2363, 3358, 4688, 5814, 7154, 8076, 961, 1660, 2793, 3218, 4314, 5429, 6668, 7290, 610, 1489, 3108, 3432, 4574, 6026, 7220, 8159, 1035, 1879, 2985, 3314, 4517, 5650, 6799, 7404, 113, 1120, 2923, 3681, 4437, 6058, 6408, 7863, 1080, 1192, 2800, 4025, 5031, 5209, 6692, 8105, 360, 1284, 2491, 3642, 4783, 6088, 6735, 7416, 930, 1865, 2688, 3284, 4738, 6073, 6372, 8072, 1084, 2036, 2848, 3513, 4575, 5735, 7112, 7528, 104, 1210, 2436, 3578, 5000, 5208, 6839, 7481, 610, 1399, 2678, 4096, 5198, 5301, 6350, 8058, 887, 1771, 2710, 3410, 4964, 6007, 6725, 7815, 850, 1269, 3098, 3634, 4595, 5652, 7164, 7643, 778, 1685, 2871, 4103, 4321, 6187, 6566, 8209, 104, 1858, 2462, 3161, 4966, 5474, 6734, 7648, 610, 1238, 2944, 3955, 4379, 6128, 6736, 8245, 104, 1858, 2797, 4166, 5106, 5396, 7004, 7887, 390, 1350, 2946, 3560, 5073, 5219, 6588, 8179, 645, 1931, 2895, 3904, 4781, 5485, 6604, 7959, 641, 1966, 2233, 4124, 5175, 5364, 7095, 7262, 299, 1838, 2133, 3695, 4715, 6042, 6864, 7393, 936, 1897, 2867, 3756, 4763, 5910, 6708, 7892, 665, 1554, 2440, 3937, 5100, 6035, 7020, 7329, 569, 1510, 2261, 3745, 4402, 5512, 6234, 8073, 459, 1510, 2480, 3943, 4261, 6175, 6521, 7532, 103, 2034, 2470, 3915, 4978, 6000, 7075, 7888, 568, 2034, 2709, 3689, 4849, 5599, 6810, 7838, 334, 1349, 2950, 4111, 4935, 6166, 6986, 8191, 334, 1286, 2693, 3364, 5146, 6149, 7209, 7929, 568, 1269, 2131, 3852, 4411, 5837, 6924, 7961, 118, 1510, 2468, 4089, 4878, 5684, 6889, 7717, 568, 1623, 3139, 3798, 4918, 5942, 7051, 7838, 356, 2111, 2210, 3966, 4870, 5811, 7065, 7816, 859, 1684, 2860, 3891, 5166, 6187, 6338, 7494, 390, 1218, 3043, 3827, 4801, 6063, 7160, 8066, 160, 1915, 2542, 3417, 4415, 6137, 6560, 7641, 569, 1695, 2261, 3225, 4896, 6096, 6626, 8117, 806, 1388, 2379, 3596, 4949, 5575, 7117, 7398, 104, 1918, 2271, 3258, 4205, 5544, 6749, 7878, 113, 1708, 2271, 3566, 5107, 5684, 6883, 7629, 952, 1621, 2361, 3706, 4872, 5880, 6923, 8240, 317, 1171, 2562, 3298, 4592, 5837, 6846, 8046, 225, 1311, 2151, 3811, 5043, 5810, 6671, 7707, 225, 1620, 2734, 3961, 4412, 5683, 6632, 7476, 225, 2052, 2791, 3885, 4214, 5303, 7150, 7957, 228, 1426, 2833, 3391, 5079, 5767, 6579, 7804, 256, 1440, 2941, 4113, 4715, 5901, 7120, 7563, 105, 1108, 3135, 3803, 4512, 6103, 6589, 7715, 956, 2097, 2554, 4113, 5104, 6149, 6677, 8147, 555, 1623, 2941, 3407, 4512, 6205, 6604, 8262, 256, 1345, 3064, 4113, 5150, 5419, 7090, 7831, 874, 1426, 2487, 3855, 4737, 5493, 6615, 7690, 183, 2111, 3000, 3277, 4985, 5298, 7095, 7537, 216, 1716, 2566, 3543, 5160, 5811, 6966, 8150, 1029, 1773, 2625, 3323, 4318, 5839, 6267, 7438, 104, 1695, 2559, 3428, 4934, 6220, 7154, 8069, 955, 2079, 2792, 4168, 4423, 5968, 6472, 7508, 308, 1146, 2924, 3710, 5166, 6129, 7058, 7856, 684, 1467, 2895, 3803, 4980, 6205, 6708, 7732, 304, 2079, 3135, 3987, 4888, 6175, 7239, 7887, 390, 2024, 2991, 3982, 5159, 6175, 6988, 8267, 1056, 2125, 2944, 3945, 4782, 5219, 6752, 7421, 103, 1320, 3003, 3564, 4954, 6175, 6584, 7838, 500, 1461, 2536, 3602, 4420, 5678, 7065, 7415, 936, 1311, 2987, 3309, 5193, 5366, 6520, 7534, 993, 1116, 2767, 3670, 5135, 6004, 7014, 7350, 535, 1139, 2610, 3939, 4321, 5643, 6391, 8051, 778, 1545, 2552, 3276, 4308, 6002, 6255, 7386, 104, 2059, 2232, 3653, 4251, 5981, 6566, 7271, 993, 1141, 2805, 3581, 4756, 5632, 6736, 7615, 887, 1581, 2207, 3851, 4761, 6094, 6737, 7869, 1024, 1873, 2892, 3358, 4595, 5699, 6719, 7664, 408, 1280, 2592, 3218, 4671, 5944, 6740, 8174, 678, 1660, 2167, 3829, 4602, 6000, 6498, 8239, 678, 1218, 2490, 3964, 4622, 5389, 7045, 8202, 831, 1146, 3135, 3176, 4346, 5244, 6681, 8064, 643, 1581, 2493, 3928, 4845, 5850, 6776, 7673, 940, 1860, 2493, 3218, 4781, 6056, 6899, 7920, 1081, 1399, 2965, 3909, 4931, 5221, 6313, 7768, 678, 2068, 2493, 3964, 4287, 6103, 6547, 7264, 940, 1175, 2493, 4093, 5061, 5911, 6408, 7791, 1081, 1660, 2965, 3201, 4555, 5886, 7095, 7458, 678, 1146, 2965, 3676, 4287, 5978, 7007, 7768, 663, 2056, 2941, 3302, 4622, 6040, 6633, 7591, 1051, 1146, 2941, 3388, 5122, 6195, 7010, 8266, 663, 1871, 2941, 3710, 4630, 5245, 7006, 7948, 512, 1871, 2941, 3909, 4872, 5705, 6979, 7631, 510, 1833, 3095, 3671, 4555, 5661, 6709, 7876, 1099, 1833, 2960, 4011, 4822, 6081, 6776, 7723, 915, 1508, 2991, 4108, 4704, 6211, 7006, 8185, 488, 1622, 2947, 4108, 4287, 5832, 6709, 7949, 488, 2017, 2914, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7226, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7239, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 818, 2017, 3065, 3893, 4888, 6139, 6794, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 76, 48, 51, 16, 54, 30, 5, 31, 57, 5, 43, 48, 5, 76, 11, 78, 5, 28, 26, 5, 45, 52, 54, 16, 64, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 5493, 6752, 8147, 818, 1791, 3135, 3188, 4704, 6211, 7077, 8147, 392, 1773, 3089, 3866, 5060, 5981, 6551, 8080, 1067, 1275, 2847, 3179, 4554, 5899, 6554, 8252, 1035, 1675, 2474, 3776, 4335, 6095, 7185, 7624, 752, 1458, 2282, 3916, 4255, 5972, 6492, 7458, 802, 1269, 2559, 3442, 5012, 5602, 7080, 7393, 398, 1655, 2693, 3225, 5047, 5814, 6298, 8049, 893, 1762, 2429, 3513, 4536, 5591, 6244, 8154, 582, 1834, 2156, 3469, 4586, 6159, 7087, 8197, 545, 1561, 2278, 3555, 5145, 5615, 6359, 8240, 756, 1905, 2678, 3582, 4412, 5836, 7103, 7955, 756, 1897, 2278, 3983, 4981, 5730, 6771, 7488, 899, 1660, 2984, 4145, 4924, 5216, 6689, 7577, 899, 2068, 3149, 3855, 4828, 6210, 6788, 7256, 568, 1106, 2398, 3394, 5091, 5610, 6531, 8079, 756, 2008, 3062, 4085, 4801, 6175, 6346, 8267, 545, 1777, 3020, 3995, 4555, 5737, 7010, 7429, 465, 1266, 2190, 3329, 5122, 5925, 6461, 7545, 802, 1695, 2495, 3341, 4539, 6213, 6514, 7545, 465, 1421, 2506, 3442, 5146, 5251, 6426, 7488, 150, 1826, 2506, 3613, 4318, 6184, 6327, 7614, 150, 1826, 2564, 3195, 4335, 5931, 7232, 7885, 504, 1531, 2476, 4083, 4364, 5518, 6531, 7462, 1025, 1388, 2429, 3960, 4864, 5784, 6614, 7631, 386, 1141, 2481, 3357, 5124, 5440, 7141, 7313, 504, 1141, 2678, 3276, 4179, 6002, 6265, 7586, 784, 1141, 2152, 3329, 4981, 5653, 6509, 7336, 504, 1782, 2737, 3937, 4383, 6192, 6838, 7873, 643, 1708, 2667, 4096, 4588, 5447, 6242, 8073, 390, 1721, 2737, 3162, 4387, 5713, 7129, 8179, 390, 1998, 2503, 3793, 4598, 6111, 6639, 7778, 390, 1675, 3064, 3932, 5104, 5832, 6852, 8237, 613, 2073, 2403, 3761, 4773, 5519, 6536, 7868, 664, 1238, 2309, 3788, 5011, 5470, 6934, 7902, 398, 1199, 2846, 4004, 5031, 6104, 6281, 7298, 436, 1740, 2750, 3192, 4600, 6015, 6735, 7393, 436, 1199, 2389, 4126, 4742, 5915, 6679, 7904, 876, 2050, 2750, 3498, 4298, 6004, 6298, 7501, 150, 2050, 2658, 3813, 4946, 5592, 6244, 7757, 540, 1838, 2261, 3623, 4581, 6004, 6595, 8075, 1029, 1554, 2698, 3793, 5124, 5863, 6265, 7582, 784, 1205, 2902, 4118, 4982, 5899, 6803, 8169, 104, 1594, 3149, 3540, 4182, 5844, 6244, 7534, 614, 1972, 2790, 4043, 5124, 5295, 6625, 7996, 776, 1596, 2352, 4074, 5138, 5442, 6414, 7988, 844, 1858, 2567, 4095, 4780, 5276, 6668, 7908, 103, 1181, 2794, 3969, 4525, 5448, 6803, 8077, 708, 1905, 3116, 3314, 4338, 6084, 7085, 8242, 448, 1399, 2355, 3427, 4392, 5584, 6694, 8018, 569, 1924, 2383, 3417, 4807, 5797, 6550, 7574, 443, 1289, 2355, 4007, 4953, 5889, 6286, 7448, 443, 1692, 2610, 3720, 4934, 5530, 6889, 7900, 993, 1692, 2543, 4057, 4330, 6002, 6883, 7648, 643, 1550, 2924, 4106, 4717, 5665, 6224, 7262, 150, 1773, 2422, 3416, 4539, 5931, 6991, 8132, 1035, 1924, 2440, 3182, 4374, 5515, 6584, 7397, 610, 2001, 2998, 3873, 4734, 5981, 6243, 7260, 610, 1318, 2998, 3175, 4781, 5953, 6333, 7722, 1081, 1275, 2981, 3806, 4458, 5761, 7222, 8067, 1090, 1660, 2981, 3338, 4334, 6024, 7059, 7339, 951, 1994, 3008, 3246, 5060, 5835, 7217, 7641, 970, 1856, 2944, 4135, 4592, 5436, 6628, 7607, 826, 1669, 2436, 4081, 5074, 5655, 6681, 8189, 761, 1582, 2653, 4100, 4428, 5759, 6234, 7946, 655, 1582, 2583, 3176, 4594, 5592, 6542, 7968, 655, 1877, 2373, 3343, 5124, 5452, 6721, 7757, 655, 1771, 2236, 4164, 4678, 5621, 7126, 7985, 655, 1706, 2483, 3700, 4518, 5621, 6234, 7853, 761, 1582, 2764, 3953, 4446, 5621, 6820, 7813, 761, 1582, 2495, 3652, 4730, 5302, 6723, 7276, 1101, 1301, 2345, 3560, 4685, 5734, 6692, 7510, 803, 1924, 2692, 3310, 4810, 5852, 6783, 7703, 993, 1596, 2706, 3639, 4741, 6125, 6442, 7472, 1025, 1828, 2540, 3169, 4942, 5651, 6476, 7663, 1014, 1238, 2387, 3310, 5135, 6218, 6896, 7442, 576, 1335, 3029, 3731, 5168, 5784, 6962, 8105, 576, 1756, 2144, 3528, 4733, 5810, 7135, 8226, 317, 1440, 2421, 3555, 5135, 5620, 6410, 7826, 450, 1991, 2783, 3352, 4423, 5975, 6632, 7585, 308, 1898, 2560, 3803, 4861, 6205, 7152, 7563, 804, 1939, 2899, 3564, 5104, 5761, 7241, 8259, 512, 1675, 2221, 3550, 5153, 6211, 7069, 7895, 401, 1485, 2389, 3540, 4447, 6195, 7162, 7723, 800, 1199, 2465, 3319, 4918, 6048, 6896, 7743, 893, 1582, 2269, 3656, 4605, 5377, 6968, 8081, 536, 1934, 2345, 3639, 4587, 5522, 7238, 7564, 673, 1306, 2309, 3326, 4955, 6082, 6352, 7853, 810, 1983, 2869, 3159, 4359, 6143, 6651, 8026, 884, 1111, 2141, 3318, 5184, 6002, 6367, 7305, 981, 1882, 2422, 3256, 4365, 5325, 6333, 7962, 487, 1449, 2543, 3268, 4535, 5288, 6482, 7549, 314, 1935, 2355, 3363, 4658, 6034, 6449, 8137, 643, 1678, 2601, 3874, 4495, 5472, 6308, 7868, 103, 1178, 2309, 3400, 4513, 5641, 6414, 7426, 288, 2034, 2661, 3885, 4423, 5983, 6517, 8117, 1056, 2034, 2515, 3803, 5084, 6101, 6657, 7447, 663, 1112, 3133, 3695, 4512, 6175, 6850, 8267, 1059, 1807, 2543, 3201, 5183, 5935, 6558, 8266, 769, 1118, 2314, 3709, 5040, 6007, 6540, 7904, 540, 1692, 2327, 3537, 5114, 5714, 7215, 8131, 399, 1561, 2129, 3193, 4358, 5988, 6350, 7919, 908, 1707, 2751, 3344, 4697, 5656, 7035, 7549, 363, 2033, 2497, 3599, 4288, 5490, 6880, 8016, 1004, 1826, 3040, 3926, 4292, 5874, 6244, 8068, 784, 1183, 2173, 4072, 5169, 5766, 7131, 7487, 536, 1183, 2789, 4025, 4246, 6050, 7229, 8207, 299, 1183, 2929, 3696, 4604, 5384, 7144, 7627, 299, 1898, 3120, 3934, 4388, 5577, 6983, 8018, 299, 1440, 2655, 3214, 4603, 5441, 7043, 7627, 536, 1838, 2232, 3671, 5134, 5447, 6944, 7476, 614, 1912, 2655, 3727, 4364, 5389, 6410, 7627, 826, 1238, 2265, 3231, 5124, 5818, 6927, 7858, 104, 1878, 2515, 3418, 4592, 5641, 6563, 8031, 937, 1668, 2610, 4152, 4374, 6002, 6403, 8206, 778, 1692, 2868, 3605, 5118, 6171, 7222, 8266, 299, 1596, 2387, 3245, 4437, 5794, 6241, 7607, 920, 1299, 3074, 3972, 4626, 5717, 7229, 8043, 920, 2006, 2903, 3972, 4982, 5934, 6585, 7442, 881, 2055, 3074, 4074, 5050, 5564, 6932, 8081, 575, 1326, 2629, 3421, 4446, 6040, 6961, 7360, 150, 1624, 2156, 3205, 4555, 5220, 6735, 8133, 970, 2048, 2156, 3819, 4195, 5788, 6383, 8061, 453, 1675, 2803, 4037, 4536, 5568, 6293, 7631, 225, 1675, 2988, 3904, 4529, 5584, 7090, 7799, 699, 1112, 3147, 3770, 4611, 6181, 6607, 7781, 195, 1570, 2725, 3276, 5197, 5684, 7004, 7397, 195, 1570, 2221, 3803, 5143, 5792, 7014, 7260, 654, 2064, 2792, 3304, 5040, 5514, 7232, 7706, 654, 1304, 2946, 3518, 5061, 5963, 7160, 7607, 654, 2106, 2791, 4145, 5197, 5825, 6776, 7509, 654, 2013, 2718, 4113, 4387, 5514, 6251, 8236, 228, 1851, 2944, 3931, 4681, 5219, 7160, 8262, 228, 2034, 2554, 3364, 4918, 5901, 7038, 8061, 256, 1750, 2918, 3595, 4387, 6135, 6291, 7677, 419, 2111, 2718, 3595, 4780, 5963, 7006, 7831, 419, 1961, 2806, 3914, 5159, 5677, 6579, 7715, 419, 1961, 2729, 3595, 4555, 5241, 6988, 8147, 419, 1961, 2164, 3595, 5159, 6139, 6840, 7715, 419, 2017, 2833, 3825, 5160, 6186, 7069, 8196, 419, 2017, 2833, 3827, 4374, 5677, 6996, 7715, 915, 1648, 2914, 3595, 4798, 6137, 6338, 8147, 419, 2017, 2164, 3827, 5088, 6186, 6338, 8196, 915, 1684, 2164, 3825, 4555, 5677, 7120, 7717, 915, 2017, 3065, 4145, 4877, 5296, 6612, 7766, 915, 1684, 2164, 3825, 5138, 5296, 7120, 7766, 915, 1684, 2914, 3825, 4798, 6186, 7120, 8196, 915, 1684, 2164, 3825, 4681, 5534, 6677, 7485, 915, 1684, 2164, 3893, 4681, 5635, 6677, 7485, 555, 1684, 3064, 3827, 4798, 6139, 6996, 8223, 915, 1147, 2914, 3825, 4624, 6163, 7120, 8223, 488, 1528, 2914, 3827, 4624, 6186, 6677, 8223, 4, 2 ]

[ 1, 14, 66, 5, 52, 14, 64, 66, 5, 65, 48, 5, 51, 39, 53, 5, 66, 73, 5, 31, 16, 5, 42, 39, 66, 5, 31, 14, 66, 5, 45, 78, 5, 54, 23, 5, 51, 20, 52, 30, 5, 14, 41, 66, 35, 5, 43, 35, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7226, 8147, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8147, 789, 1750, 2946, 3914, 4555, 6149, 7006, 7723, 475, 1510, 2783, 3608, 4863, 5719, 6589, 8132, 1025, 1717, 3144, 3922, 4918, 5350, 7120, 7250, 424, 1858, 3064, 3522, 4225, 6128, 6786, 8179, 510, 1989, 2167, 4068, 4822, 6146, 6668, 7806, 818, 1945, 3008, 3945, 4551, 6211, 6668, 8147, 617, 1286, 3144, 3352, 4782, 5436, 7090, 7906, 256, 1905, 2904, 3692, 4849, 5210, 7043, 7865, 356, 1269, 2798, 3917, 5135, 5761, 6962, 8262, 684, 1623, 3144, 3870, 4511, 5514, 6386, 7831, 390, 2024, 2970, 4011, 4872, 5749, 6979, 7547, 961, 1974, 2975, 4085, 4612, 5629, 7217, 8107, 603, 2050, 2584, 3706, 5160, 5849, 6892, 7879, 810, 1199, 2334, 3613, 4814, 5700, 6547, 7618, 966, 1426, 2706, 3492, 4714, 5325, 7068, 7311, 830, 1496, 2460, 3965, 4346, 5858, 6598, 7475, 1077, 1179, 2748, 3965, 4367, 6015, 6432, 7667, 145, 1826, 3047, 3777, 4679, 5938, 6426, 7923, 739, 1687, 2572, 4128, 4994, 5557, 6730, 7271, 350, 1402, 2522, 3379, 4590, 5867, 7062, 7912, 310, 1356, 2221, 3572, 4740, 5807, 6521, 7495, 739, 2081, 2954, 3261, 4320, 5560, 6663, 7422, 868, 1940, 2245, 3313, 4326, 6216, 6533, 7254, 611, 2099, 2408, 3536, 4364, 5660, 6696, 7832, 952, 1864, 2916, 4128, 4811, 6218, 6905, 7785, 308, 1304, 2858, 3819, 4305, 5665, 6823, 8034, 225, 1789, 3007, 3586, 4439, 5616, 7051, 8030, 225, 1349, 2321, 3555, 4427, 5520, 6484, 7939, 183, 1452, 2941, 3309, 4630, 6010, 6382, 7959, 183, 1898, 3064, 3225, 4536, 5811, 6604, 7838, 256, 1706, 3062, 3798, 4727, 5548, 6584, 8185, 183, 1750, 2942, 3576, 5159, 6139, 6607, 7865, 183, 1633, 2473, 3550, 4775, 5981, 7041, 8093, 183, 1623, 3004, 3417, 4716, 5640, 7091, 8216, 256, 1633, 2370, 3933, 4737, 5677, 7090, 8130, 256, 1623, 2875, 4145, 5159, 5550, 7207, 7865, 183, 1858, 3004, 4125, 4611, 5811, 7120, 7732, 183, 1623, 2542, 3873, 4798, 6149, 6291, 7303, 225, 1633, 2792, 3470, 4638, 5678, 7129, 7252, 225, 1623, 2560, 4026, 5160, 6041, 6856, 8080, 334, 1286, 2944, 3628, 4894, 6119, 6256, 7838, 568, 1623, 2683, 3751, 5120, 5767, 7219, 7509, 757, 1597, 2944, 3470, 4522, 5892, 6683, 7303, 756, 1807, 2833, 3982, 4993, 5811, 7024, 8082, 716, 1942, 2709, 4021, 5109, 5716, 6889, 7831, 611, 2024, 2564, 3931, 5151, 5503, 6691, 7583, 582, 2047, 2346, 3623, 4273, 5609, 6747, 7816, 986, 1233, 2610, 3623, 4996, 6154, 6915, 7873, 757, 1948, 2436, 3219, 4848, 5224, 6822, 8248, 512, 2000, 2436, 3986, 5104, 6105, 6657, 7890, 1099, 1623, 2729, 3866, 4822, 5296, 6979, 7421, 1099, 1623, 3128, 4011, 4912, 5614, 7218, 8267, 859, 1750, 2925, 4085, 4622, 6205, 7230, 7949, 568, 1910, 2560, 4145, 5043, 5409, 6849, 8114, 1020, 2106, 2803, 3662, 4996, 5653, 7169, 7677, 183, 1620, 2181, 4026, 4916, 5438, 6991, 8083, 356, 1851, 3021, 4026, 4877, 6212, 6840, 7631, 223, 1112, 2990, 3391, 4789, 5830, 6840, 7383, 788, 1411, 2133, 3575, 4974, 5510, 6768, 7683, 1023, 1985, 2343, 3497, 4915, 5827, 6601, 7502, 668, 1782, 2785, 3205, 4974, 5441, 6269, 7853, 668, 1928, 2659, 3679, 5072, 5370, 6623, 8174, 386, 2008, 2282, 4144, 4548, 5269, 6905, 7919, 737, 1550, 2693, 3464, 4541, 5212, 7229, 7422, 545, 1356, 2867, 4103, 4595, 5615, 6430, 8098, 487, 1407, 2867, 3848, 4946, 5565, 6225, 8207, 981, 1550, 2387, 4102, 4392, 5279, 7019, 7270, 643, 1797, 2595, 3916, 4365, 5250, 7017, 8240, 216, 1685, 2915, 3271, 5165, 5843, 7143, 7878, 643, 1685, 3101, 3540, 4429, 5825, 7168, 7677, 731, 1363, 2279, 3410, 4859, 5565, 6540, 7538, 304, 1167, 2690, 3771, 4993, 5942, 7017, 7918, 1081, 1782, 2258, 3410, 4259, 5550, 6839, 8195, 955, 1915, 2724, 3298, 5129, 5893, 6251, 7838, 211, 1915, 2936, 3298, 4588, 6175, 6752, 8126, 1099, 2068, 2946, 3909, 4287, 6146, 7201, 7386, 757, 1320, 2880, 3277, 4592, 5844, 6892, 8209, 568, 1789, 2783, 3605, 5096, 5221, 6474, 7492, 401, 1777, 2936, 3967, 4430, 6205, 6458, 7602, 840, 1596, 2429, 3882, 4804, 5223, 6755, 7953, 1067, 1828, 2486, 4137, 4845, 6046, 6680, 7284, 386, 1682, 2693, 4037, 4365, 5519, 6249, 7615, 970, 1294, 2282, 3840, 5127, 5350, 6335, 7571, 512, 1402, 3043, 4125, 5127, 5641, 7025, 8085, 715, 1499, 2838, 3201, 5127, 6016, 6646, 7349, 1059, 1141, 2144, 3384, 5096, 5436, 6477, 7542, 981, 1682, 2282, 3973, 5150, 5894, 7055, 7865, 1023, 1557, 2638, 4015, 5155, 5434, 6255, 8005, 363, 1507, 2897, 4137, 4734, 5512, 6923, 7336, 887, 1286, 2817, 4079, 4535, 5315, 6903, 8210, 308, 2079, 2661, 3909, 4966, 5767, 7084, 7557, 288, 1867, 2803, 3788, 4622, 6146, 6850, 8205, 1099, 1620, 2783, 3977, 4622, 5210, 6979, 8267, 510, 2046, 2936, 4145, 4630, 6085, 7084, 7631, 308, 1791, 2326, 4068, 4583, 6129, 7239, 7720, 757, 2008, 2661, 4089, 4231, 6136, 6648, 7878, 986, 2033, 2940, 3224, 4437, 5331, 7095, 8132, 487, 1174, 2750, 3936, 4352, 5575, 6954, 7261, 487, 1174, 3126, 3631, 4694, 5500, 7229, 7612, 487, 2008, 3029, 3472, 4288, 5771, 6914, 8037, 487, 1393, 2282, 3695, 4604, 5366, 6225, 7745, 487, 1581, 3029, 4162, 4774, 5889, 6832, 8226, 986, 1581, 3029, 3631, 5052, 6204, 6903, 7877, 807, 1782, 2156, 4066, 5109, 5810, 6736, 8248, 545, 2079, 2867, 3860, 4415, 5584, 7173, 7677, 582, 1671, 2492, 3329, 4402, 5689, 6269, 7660, 424, 1121, 2239, 3904, 5088, 6050, 6338, 7868, 818, 1998, 2838, 3914, 5085, 5385, 7120, 7574, 555, 1791, 2991, 3873, 4630, 6051, 7201, 7557, 568, 1974, 2468, 4089, 4586, 5767, 6816, 8098, 518, 1695, 2560, 3753, 4412, 5981, 6579, 7908, 859, 1684, 2542, 3374, 4681, 5296, 7152, 8261, 818, 1147, 2991, 3982, 4423, 5832, 6677, 7664, 860, 2017, 3135, 3825, 4704, 6139, 7084, 8083, 488, 1791, 3110, 3803, 4583, 6211, 7201, 7485, 488, 2017, 2806, 3893, 4624, 6139, 7201, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 915, 2017, 2806, 3893, 4798, 6129, 6752, 8223, 915, 1622, 2833, 3825, 4512, 6186, 7120, 8223, 555, 1684, 3064, 3893, 4704, 6081, 6794, 7723, 488, 1622, 2914, 3891, 4624, 5534, 7077, 8223, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8223, 142, 1528, 2806, 3825, 4704, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4366, 6186, 7226, 8223, 915, 1622, 3065, 4174, 4624, 5635, 6604, 8223, 987, 1919, 3026, 3749, 4449, 5935, 7160, 7386, 769, 1555, 2724, 3986, 4346, 6026, 7073, 7587, 161, 1507, 2757, 3790, 5001, 5435, 6573, 7809, 161, 1510, 3018, 3979, 4851, 5443, 6480, 7840, 723, 1300, 2751, 3880, 5081, 5396, 6442, 8234, 840, 2006, 2585, 3930, 4913, 5668, 6413, 7793, 536, 2118, 2292, 3928, 4846, 5512, 6563, 7504, 536, 1706, 2312, 3788, 5074, 5516, 7235, 7609, 1001, 1296, 3033, 3205, 5081, 5433, 7031, 7271, 646, 1255, 2271, 4010, 5073, 5597, 6364, 8050, 487, 1349, 2348, 4010, 4278, 5925, 7141, 7810, 620, 1397, 2693, 3273, 4840, 5234, 6347, 7480, 516, 2118, 2728, 3205, 4773, 5584, 6265, 7651, 568, 1931, 2444, 3788, 5110, 5861, 6654, 7716, 225, 1421, 2654, 4111, 4321, 6007, 7111, 7650, 518, 1572, 2808, 3602, 4437, 5648, 7090, 8253, 654, 1918, 2238, 3798, 4329, 5497, 6869, 8237, 440, 1971, 2534, 3170, 4654, 5436, 6476, 8130, 211, 2125, 2669, 3909, 4598, 6085, 6844, 8077, 304, 1521, 2783, 3516, 4890, 5565, 7014, 7948, 1071, 1881, 3061, 3891, 4641, 6163, 7095, 7876, 104, 1227, 2724, 4010, 5125, 5210, 7132, 8144, 1025, 1139, 2750, 4041, 5095, 5643, 6956, 7420, 826, 2002, 2720, 4130, 4223, 5204, 6646, 7702, 313, 1524, 2348, 3261, 4631, 6180, 7148, 7502, 775, 1789, 2708, 3740, 5127, 5810, 7171, 8051, 880, 1789, 3140, 3232, 5031, 6138, 6457, 7911, 884, 1183, 2835, 3434, 4729, 5497, 6554, 7962, 881, 1789, 2757, 3721, 4678, 5564, 6963, 8256, 840, 1183, 2751, 3557, 4356, 5624, 6586, 7986, 536, 1183, 2445, 3412, 4426, 5512, 7032, 7854, 492, 1183, 2300, 3707, 4657, 5477, 6943, 8091, 113, 1183, 2198, 3517, 4514, 5791, 7108, 7287, 508, 1212, 2954, 3869, 4657, 6118, 6494, 7986, 738, 2050, 2348, 3313, 4915, 5475, 6795, 7920, 887, 1469, 3047, 3548, 4607, 5884, 6980, 8230, 887, 1469, 2171, 3826, 4546, 6128, 7080, 7845, 887, 1469, 2171, 3224, 4521, 5846, 7065, 7547, 1090, 1897, 2993, 4055, 4513, 5624, 7218, 7908, 956, 1791, 3032, 3352, 5058, 5210, 7120, 7887, 935, 1791, 2899, 3990, 5159, 6014, 7201, 7782, 935, 1998, 2164, 3990, 5104, 5534, 6774, 8185, 337, 1998, 2803, 3710, 5166, 5534, 6633, 7876, 984, 1620, 3150, 4166, 4861, 6211, 6349, 8066, 1094, 2043, 2204, 3873, 4411, 5216, 7222, 7594, 100, 1923, 2199, 3231, 5120, 5889, 6431, 7718, 1094, 1814, 2925, 3590, 4638, 5968, 6515, 7703, 450, 1756, 3092, 4115, 4805, 5247, 6979, 8185, 401, 1756, 2895, 3540, 5060, 5623, 6889, 7776, 1067, 1166, 2312, 3400, 4620, 5659, 6997, 7727, 344, 1618, 2444, 3979, 4327, 5833, 6517, 8101, 1067, 1290, 2731, 3989, 4509, 6095, 6693, 7999, 344, 1928, 2325, 3400, 4280, 5777, 6739, 7597, 1067, 1757, 2712, 3763, 4942, 5408, 6333, 7905, 277, 1104, 2387, 3176, 5154, 5506, 6359, 7736, 778, 1916, 2968, 3703, 4732, 5710, 6914, 7962, 1008, 1993, 2307, 4073, 4907, 5512, 6533, 8085, 1016, 2036, 2712, 3678, 4515, 5408, 7112, 7725, 1016, 1703, 2920, 3931, 4406, 5796, 6667, 7254, 961, 1919, 3034, 3420, 4803, 5244, 6467, 8113, 1001, 2035, 2175, 3769, 4295, 6019, 6331, 8169, 1025, 2050, 2985, 3288, 4384, 5844, 6872, 7262, 1001, 2035, 2985, 3213, 4757, 5777, 6661, 7712, 1001, 1469, 2128, 3975, 4274, 5243, 6490, 7437, 104, 2089, 2172, 3681, 4242, 6063, 6546, 7623, 887, 1850, 2732, 3829, 4274, 6063, 7007, 7702, 1090, 1523, 2660, 4150, 5183, 5968, 6736, 8107, 211, 1816, 2703, 3430, 5083, 5216, 6579, 8085, 610, 1736, 2924, 4064, 4912, 6163, 6613, 8078, 465, 1171, 2163, 4073, 4881, 5695, 6619, 7862, 988, 1714, 2846, 3485, 4952, 5810, 6804, 8025, 161, 2107, 2344, 3416, 4340, 5578, 6873, 7621, 581, 1283, 2847, 3568, 4707, 5839, 6224, 8212, 1040, 1737, 2751, 3483, 4887, 5247, 6535, 7886, 988, 1789, 3039, 3245, 4339, 5568, 7204, 7486, 242, 1346, 2459, 3859, 4604, 5412, 6518, 7878, 873, 1828, 3116, 3366, 4811, 5625, 6834, 7981, 320, 1797, 2975, 3765, 4495, 6204, 7002, 7693, 776, 2086, 2559, 3616, 5138, 5935, 6748, 7420, 776, 1862, 2381, 3152, 5039, 6136, 7100, 7707, 473, 1945, 2959, 3866, 5070, 5395, 6796, 7260, 419, 1858, 3008, 4114, 4398, 5550, 6820, 8179, 256, 2030, 2669, 3407, 4918, 5963, 7160, 7992, 789, 1597, 3150, 3470, 5048, 6119, 7006, 7715, 488, 1752, 2914, 3407, 4583, 6110, 7077, 8267, 201, 1528, 3135, 3914, 4704, 6129, 7084, 8223, 488, 1622, 2806, 3516, 4630, 6139, 7201, 8185, 818, 1791, 3110, 4174, 5058, 5635, 7006, 7766, 555, 2111, 2946, 3827, 4583, 5534, 7168, 7723, 552, 2063, 3135, 4145, 4555, 6085, 7162, 7664, 391, 1139, 2167, 3900, 4358, 5550, 7223, 7677, 318, 1510, 2940, 3418, 4555, 6213, 6634, 7260, 113, 1510, 2163, 3544, 4810, 5558, 6470, 7724, 410, 1510, 2494, 3427, 4670, 5918, 6670, 7305, 715, 1150, 2636, 3874, 4626, 5641, 6563, 7666, 833, 1510, 2163, 3413, 4881, 5797, 6380, 7256, 844, 1510, 2440, 4107, 4413, 5865, 6978, 7561, 308, 1675, 2436, 3413, 5127, 5550, 6988, 8185, 891, 1510, 2345, 4038, 4191, 6132, 6949, 7367, 390, 1742, 2593, 3949, 4670, 5270, 6302, 8100, 1062, 1758, 2793, 4074, 4818, 5904, 6579, 7515, 930, 1758, 2455, 3271, 4362, 6080, 6781, 7607, 1038, 1427, 2268, 3530, 4723, 6098, 6948, 7873, 692, 1494, 2740, 3570, 4229, 6052, 6295, 7510, 1057, 1742, 2581, 3949, 4321, 5608, 6318, 7508, 91, 1979, 2272, 3660, 4205, 5797, 6345, 7437, 265, 1979, 2432, 4083, 4364, 5789, 6507, 8061, 917, 1979, 2349, 3841, 4447, 5672, 6442, 7800, 730, 1865, 2751, 3913, 4626, 5348, 6611, 7262, 827, 1673, 2268, 3578, 4319, 5450, 6419, 7826, 339, 1510, 2740, 3840, 4459, 5918, 6505, 7824, 662, 1119, 2349, 3771, 4306, 5913, 6401, 7437, 662, 1742, 2505, 3385, 4805, 5976, 6550, 8163, 113, 2011, 2268, 3634, 4811, 6217, 7229, 7341, 531, 2045, 3029, 3687, 4607, 6215, 6267, 7429, 1102, 1993, 2641, 3605, 4364, 6083, 7112, 7939, 390, 1510, 2326, 4112, 4441, 5777, 6760, 7578, 956, 1675, 2941, 3891, 4622, 6051, 6709, 7811, 186, 1623, 2959, 3226, 5159, 5641, 6996, 8267, 488, 2041, 2781, 3891, 4888, 5630, 6988, 7949, 488, 2017, 3110, 4071, 4888, 6103, 6786, 7485, 488, 1528, 3117, 3367, 4888, 5635, 7077, 7766, 4, 2 ]

[ 1, 64, 66, 11, 62, 44, 55, 5, 43, 48, 63, 5, 16, 54, 30, 5, 31, 33, 63, 5, 11, 54, 5, 16, 5, 42, 63, 14, 64, 47, 5, 62, 60, 54, 66, 5, 66, 73, 5, 42, 14, 31, 35, 5, 16, 5, 52, 45, 66, 16, 52, 5, 43, 14, 54, 30, 41, 70, 52, 5, 17, 75, 5, 53, 17, 30, 5, 5, 3, 617, 2098, 3084, 4089, 4536, 6149, 6551, 7336, 195, 2118, 3084, 3798, 4329, 5429, 6756, 7383, 654, 2108, 3084, 3832, 4983, 5385, 6821, 8126, 518, 2127, 2959, 4138, 5048, 5960, 6736, 7313, 240, 2013, 2875, 4078, 5143, 5767, 7090, 7831, 789, 2127, 3098, 4018, 4344, 6175, 7069, 8126, 789, 1750, 2970, 4174, 4344, 5241, 6515, 7303, 256, 1974, 2669, 3315, 5159, 6110, 6486, 7816, 757, 1791, 2345, 3193, 4344, 6048, 7030, 7702, 850, 1818, 2871, 3578, 4993, 5466, 6852, 8236, 1040, 1496, 3036, 3712, 4852, 5809, 6875, 7364, 641, 1346, 2300, 3230, 4196, 6151, 6875, 7966, 831, 1503, 3150, 3343, 4906, 5689, 6890, 7397, 537, 1503, 3056, 3982, 4566, 5702, 6693, 7303, 663, 1650, 2861, 3536, 4826, 5221, 6524, 8208, 510, 1705, 2803, 4068, 5166, 6063, 7010, 7906, 186, 1845, 3110, 3206, 4558, 5630, 6752, 7723, 935, 1998, 2880, 3893, 4980, 5241, 6302, 7949, 984, 1218, 2957, 4114, 4912, 5630, 6752, 8267, 914, 1620, 3110, 4071, 4583, 6205, 7084, 8179, 452, 1895, 2881, 3612, 5150, 6181, 7143, 8069, 850, 1755, 2871, 3788, 4954, 6154, 6493, 7790, 856, 1282, 2794, 3933, 4501, 6026, 6411, 7906, 582, 2047, 2432, 3679, 5153, 5430, 6314, 7386, 767, 1621, 2944, 3529, 4690, 5642, 7003, 8107, 335, 1972, 2515, 3568, 4181, 6220, 6484, 7726, 504, 1637, 2581, 3756, 5074, 5824, 7058, 7664, 678, 1563, 2391, 3410, 4896, 5641, 6302, 8083, 304, 2001, 2946, 3271, 4856, 5382, 6480, 7423, 216, 2079, 2946, 3977, 4305, 6007, 7111, 7303, 545, 1707, 2881, 3994, 5164, 6146, 7224, 7546, 448, 2079, 2725, 3986, 5144, 5550, 7000, 7669, 231, 1577, 2867, 3486, 5154, 6080, 7017, 8128, 715, 2053, 2793, 4128, 4942, 6204, 6338, 7709, 103, 1873, 2163, 3991, 4792, 5801, 6938, 8092, 857, 1674, 2292, 3653, 4890, 5689, 6566, 7652, 1035, 1674, 2495, 4033, 4586, 5223, 6614, 8232, 487, 2001, 2951, 3426, 4845, 5216, 6895, 7973, 807, 1563, 2346, 4007, 4288, 5423, 6521, 8165, 545, 1178, 2725, 3918, 4973, 5976, 6480, 8254, 487, 1860, 2515, 4155, 4755, 5470, 6449, 8256, 545, 1363, 2595, 3924, 4831, 6120, 7129, 7344, 487, 1770, 2369, 3376, 4869, 5369, 7070, 7617, 504, 2061, 2656, 3952, 4376, 6149, 6292, 7336, 547, 1826, 2638, 3430, 4381, 5991, 6675, 8073, 1024, 1830, 2188, 3273, 5092, 5565, 6933, 8052, 386, 2059, 2247, 4005, 5144, 5762, 7114, 7647, 386, 1141, 2439, 4154, 5084, 6199, 6933, 8188, 1029, 1141, 2481, 3918, 4869, 5524, 6960, 7438, 504, 1234, 2905, 4115, 4556, 6149, 6688, 8099, 1024, 1564, 2167, 3822, 5166, 6149, 6980, 7878, 1080, 1794, 2740, 4153, 5101, 5780, 7129, 7972, 784, 1886, 2349, 3878, 4902, 5818, 6284, 7894, 1101, 1507, 2986, 3505, 4650, 5735, 6224, 8088, 386, 1596, 2282, 3690, 4642, 6118, 6270, 7538, 1081, 1773, 2163, 3271, 5072, 5643, 7082, 7764, 643, 1865, 2401, 3901, 5129, 5447, 6824, 7607, 504, 1717, 2868, 3361, 4556, 5500, 6254, 7927, 643, 1302, 2610, 3233, 5144, 5677, 6777, 8233, 104, 1141, 2693, 3656, 4693, 5350, 6921, 7783, 1090, 1335, 2429, 3566, 4374, 5901, 6809, 7547, 571, 1581, 2716, 4145, 4849, 5929, 6776, 7557, 512, 1620, 2154, 4108, 4287, 5573, 7129, 8185, 684, 1995, 2293, 3866, 5115, 6103, 6668, 7421, 662, 1202, 2573, 4133, 4690, 5308, 7056, 7597, 646, 1935, 2953, 3472, 5142, 5461, 6692, 8188, 1043, 1434, 2491, 3165, 5057, 6135, 6948, 7900, 994, 1924, 3029, 3751, 5188, 5280, 6734, 7976, 487, 1389, 2656, 3819, 5176, 5616, 6466, 7634, 845, 1842, 2842, 4072, 4800, 5708, 6930, 7674, 730, 1834, 2593, 4007, 5122, 5909, 6715, 7618, 1101, 1969, 3018, 3421, 4578, 5719, 6540, 8085, 1103, 1231, 2610, 3623, 4788, 5745, 7224, 8178, 730, 2048, 2506, 3641, 5179, 5745, 6244, 8100, 458, 1777, 2251, 3892, 5188, 5671, 6466, 7904, 888, 2053, 3055, 3167, 4864, 6170, 6857, 7937, 1001, 1520, 2564, 3332, 5134, 5794, 6773, 7318, 344, 1770, 2905, 3501, 4919, 5621, 6529, 8169, 888, 1682, 2856, 4101, 4636, 5624, 6324, 7885, 761, 1479, 2349, 3290, 4274, 5268, 6670, 7693, 1029, 1145, 2623, 3547, 4363, 5791, 7187, 7800, 508, 1977, 2727, 3691, 5134, 5891, 6813, 8089, 508, 1520, 2741, 3703, 4667, 5994, 6311, 8226, 725, 2043, 2437, 3727, 4424, 5713, 6247, 8226, 465, 2043, 3010, 3181, 4409, 5933, 7214, 8012, 884, 1867, 2173, 4053, 4364, 5713, 7119, 7741, 1029, 1707, 2984, 3486, 5000, 5806, 6907, 7835, 104, 1167, 2172, 4150, 4573, 5742, 7246, 7254, 150, 1721, 2298, 3576, 4896, 6060, 6648, 7761, 1101, 1603, 2146, 3398, 5138, 5344, 6415, 8229, 737, 1828, 2951, 3357, 4959, 5507, 6913, 8134, 465, 1349, 2156, 4037, 4539, 5564, 6670, 7529, 1101, 1782, 2759, 3261, 4938, 5482, 7223, 8090, 1056, 1444, 3020, 3706, 4813, 5801, 7091, 7966, 804, 2063, 2754, 3866, 4592, 5678, 6871, 7664, 1097, 1998, 2957, 3671, 5061, 6129, 7084, 8076, 288, 1915, 3135, 3990, 4551, 6211, 7006, 8236, 186, 1791, 2960, 3440, 4888, 6195, 7084, 8179, 914, 1804, 3007, 3487, 4870, 5761, 6771, 7806, 100, 1248, 2549, 3900, 5027, 5492, 6922, 7584, 132, 2041, 2971, 4026, 4782, 5866, 6988, 8195, 955, 2001, 2941, 3987, 4918, 5220, 6361, 7753, 893, 1762, 2740, 3793, 4611, 5476, 6523, 7752, 988, 1378, 2905, 3504, 4273, 5627, 7014, 7917, 835, 1337, 2559, 3790, 4796, 5508, 7053, 7385, 673, 2011, 2979, 3222, 4812, 5608, 6974, 8129, 242, 1721, 2627, 4021, 4368, 5906, 6761, 7905, 363, 1826, 2633, 3699, 4982, 5837, 6965, 8089, 920, 1349, 2371, 4007, 4616, 5473, 7118, 8190, 881, 1349, 2141, 3601, 4443, 5938, 6453, 7953, 1025, 1946, 2953, 3206, 4865, 5631, 6224, 7971, 715, 1349, 2399, 4030, 4456, 5466, 6942, 7397, 654, 1826, 2278, 3746, 4580, 5706, 7183, 7741, 654, 1826, 2473, 3931, 4993, 6123, 7067, 8107, 228, 1851, 3091, 4125, 5080, 6137, 7160, 7303, 518, 1851, 2554, 3838, 5080, 5385, 6810, 7473, 518, 2118, 2529, 4113, 4985, 5413, 6996, 7908, 518, 2118, 2880, 3391, 4421, 5223, 6584, 8080, 183, 2061, 2669, 3595, 4344, 6097, 7152, 8015, 356, 1373, 2761, 3623, 4966, 5792, 7203, 7965, 391, 1755, 2710, 3394, 4329, 5512, 7181, 7248, 986, 1231, 2951, 3970, 5149, 5292, 6812, 8263, 845, 1164, 3016, 3865, 4255, 5224, 6780, 7862, 582, 1692, 2346, 4005, 4602, 5276, 7086, 7765, 643, 1561, 2282, 3358, 4539, 6006, 6612, 7881, 1056, 2035, 2792, 3582, 5145, 5832, 6437, 7676, 818, 1804, 2947, 4145, 5038, 6063, 7084, 8147, 915, 1847, 2880, 3945, 4704, 5635, 7120, 8260, 956, 2068, 2803, 4145, 4888, 6103, 6979, 7806, 510, 1562, 2781, 3886, 5104, 5678, 6515, 7664, 475, 1998, 2936, 4026, 4918, 5219, 7149, 8267, 405, 1141, 2326, 3662, 4948, 5678, 6426, 8078, 120, 1935, 2909, 3859, 4552, 5830, 6580, 8156, 132, 1945, 2340, 3226, 4512, 5677, 6979, 7870, 335, 1660, 2858, 3696, 4323, 5608, 6540, 7978, 386, 2033, 2623, 3420, 5186, 5484, 7193, 7791, 803, 1674, 3078, 3736, 4206, 5332, 6396, 7814, 803, 1674, 2623, 3486, 4722, 5557, 6586, 7401, 535, 1674, 2141, 3578, 4364, 5934, 6721, 7926, 161, 1877, 3074, 3869, 4364, 5927, 6516, 7379, 966, 1865, 3020, 3409, 5134, 5453, 6580, 8150, 665, 1141, 2677, 4101, 5134, 5955, 6392, 7739, 913, 1586, 2850, 3679, 4316, 6004, 7066, 8081, 913, 1586, 2203, 3214, 4777, 5782, 6476, 7515, 495, 1978, 3095, 3416, 5146, 6066, 6691, 7693, 940, 1886, 2783, 3921, 5097, 5390, 6834, 8058, 288, 1989, 2293, 3655, 5007, 5981, 7085, 8070, 510, 2000, 2834, 3873, 4282, 6128, 6630, 7895, 757, 1910, 2365, 3963, 5053, 5640, 6749, 7753, 105, 1620, 3139, 3827, 4387, 6103, 6740, 7716, 488, 1847, 2925, 3827, 4512, 5832, 7149, 8076, 818, 1218, 2781, 3886, 5104, 5241, 7239, 8076, 186, 2046, 3110, 3367, 4888, 6129, 7226, 7485, 935, 1528, 2991, 3886, 5061, 5705, 6752, 8223, 859, 2002, 2970, 3914, 5160, 5705, 7077, 7715, 617, 1695, 2340, 3407, 5060, 6149, 7152, 7865, 617, 1695, 3062, 4083, 4673, 5246, 6589, 8266, 105, 2002, 2488, 3931, 4916, 6149, 6529, 8150, 617, 1372, 2869, 3928, 4849, 5811, 6979, 7919, 617, 2127, 2554, 3374, 4870, 6149, 7090, 7865, 617, 1332, 2858, 3528, 5079, 5580, 6889, 8126, 617, 2013, 2875, 3831, 4549, 5660, 6579, 8188, 617, 1468, 2775, 4166, 5166, 5296, 6474, 8236, 617, 1695, 2370, 3838, 4326, 5443, 7024, 7643, 859, 1304, 2775, 4174, 4549, 5811, 6486, 7563, 617, 1471, 2554, 3891, 5159, 5296, 6996, 7715, 105, 2106, 2875, 4068, 4549, 5892, 7076, 7318, 105, 2111, 2858, 3827, 4590, 6182, 6996, 7537, 105, 2111, 3021, 3680, 4512, 5296, 6717, 7485, 552, 2127, 2833, 4068, 5190, 6149, 6589, 7707, 105, 2111, 2833, 3391, 4696, 5514, 6772, 8061, 552, 2127, 3147, 4068, 5190, 5385, 7152, 7485, 915, 2111, 2858, 3891, 4387, 5981, 7120, 7732, 915, 2017, 2970, 3891, 4624, 5635, 6996, 7716, 915, 2017, 2858, 3893, 4859, 6139, 7129, 7716, 142, 1528, 2806, 3825, 4704, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 859, 1648, 2709, 4174, 4423, 5635, 7207, 7723, 221, 1556, 2282, 3994, 4411, 6101, 6581, 8187, 757, 2118, 2210, 3826, 4598, 5280, 7182, 8061, 802, 1637, 2156, 3570, 4954, 5462, 7041, 7987, 800, 1556, 2987, 4151, 4811, 6002, 7021, 8212, 150, 1283, 2902, 4103, 4344, 6059, 7122, 7588, 373, 1424, 2933, 3799, 4720, 6025, 6560, 8034, 390, 1700, 2783, 3669, 5053, 5565, 6347, 7636, 390, 2079, 2838, 4115, 5075, 5883, 7207, 8260, 955, 1881, 2991, 3188, 4215, 5485, 7168, 8147, 421, 1817, 3000, 3436, 5040, 5580, 6550, 7823, 602, 1289, 2426, 3850, 4224, 5425, 6625, 7466, 557, 1282, 2346, 3358, 4839, 5504, 6456, 7909, 1028, 1842, 2487, 3171, 5184, 5886, 6383, 8140, 1050, 1349, 3116, 3802, 4664, 5745, 7031, 7881, 1050, 1940, 2953, 3171, 5023, 5810, 6255, 7817, 310, 1496, 3106, 4037, 4899, 5856, 6456, 7621, 581, 1346, 2461, 3421, 5081, 5483, 6654, 7483, 665, 1826, 2574, 3493, 4775, 5506, 6772, 7524, 373, 1791, 3130, 3472, 4811, 5443, 6370, 7954, 1056, 1139, 2473, 3758, 4433, 5942, 6783, 8130, 440, 2073, 2798, 3904, 4282, 5796, 6750, 7878, 489, 1350, 3109, 3540, 4237, 5702, 7242, 8021, 996, 1854, 2346, 3492, 5089, 5497, 6478, 7439, 816, 1838, 2389, 3219, 5074, 5936, 7072, 8210, 443, 1412, 3074, 3154, 4990, 5972, 7002, 7857, 443, 1412, 2511, 3356, 4995, 5976, 7143, 8137, 443, 1327, 2332, 4073, 5073, 5841, 6587, 8022, 443, 1351, 2129, 3845, 5154, 6190, 6235, 7248, 535, 1213, 2349, 3434, 4332, 5814, 7040, 7954, 876, 1553, 2905, 3649, 4741, 5208, 6762, 8264, 876, 1553, 2173, 4021, 4184, 6002, 6623, 7248, 1019, 1199, 2173, 3741, 4288, 6167, 6331, 8052, 992, 1740, 2536, 3943, 4741, 5285, 6768, 7318, 231, 1850, 2137, 3233, 4930, 5584, 6759, 7365, 996, 1708, 2137, 3524, 5126, 5611, 6302, 7758, 487, 1503, 2258, 3245, 4842, 5482, 6772, 7532, 986, 1189, 2495, 3233, 4661, 5829, 6271, 8130, 1028, 1832, 2455, 3356, 4350, 6143, 6944, 7850, 1028, 1735, 2990, 3843, 4474, 5734, 6944, 7991, 443, 1710, 2953, 3555, 4683, 6090, 6403, 8045, 761, 1735, 2846, 4144, 4531, 6154, 7174, 7579, 1081, 1141, 2502, 3704, 4318, 5837, 7111, 7693, 684, 1759, 3147, 3217, 5115, 5378, 6819, 7929, 468, 1915, 2667, 3812, 4225, 5316, 6903, 8041, 582, 1183, 2261, 3233, 5145, 5873, 7192, 7348, 993, 2050, 3037, 3934, 4274, 6002, 6335, 7449, 993, 1740, 2173, 3345, 4321, 5339, 6797, 7344, 582, 1484, 2173, 4015, 5004, 5577, 6833, 7538, 996, 1440, 2986, 3584, 4385, 6002, 6335, 7583, 473, 1743, 3040, 3852, 5192, 5827, 7088, 7309, 1015, 2117, 2344, 3934, 4643, 6180, 6868, 7560, 489, 1468, 2718, 3516, 5022, 6170, 6900, 7387, 541, 1975, 2860, 3798, 4560, 5436, 6808, 8037, 579, 1468, 2895, 3201, 5048, 6117, 6895, 8177, 579, 1826, 2293, 3851, 4344, 5873, 6389, 8126, 403, 1591, 2340, 3671, 4478, 5515, 6648, 7773, 952, 1794, 2959, 3596, 5012, 5500, 6603, 7712, 665, 1805, 2189, 3672, 4367, 5639, 6873, 7497, 535, 1510, 2757, 3518, 4953, 5288, 6664, 7682, 535, 1375, 2852, 3688, 4929, 5886, 6815, 7788, 1040, 1349, 2901, 3520, 4804, 5422, 6526, 7580, 404, 1306, 2983, 3287, 4734, 5225, 7187, 7584, 536, 1388, 2625, 4013, 4999, 5352, 6441, 8130, 536, 1154, 2312, 4137, 4388, 5356, 6730, 7832, 614, 1496, 3066, 3796, 4225, 6222, 6306, 8079, 993, 1227, 3137, 3558, 4385, 6220, 7094, 7478, 1029, 1227, 2678, 3383, 4561, 5675, 6565, 7255, 104, 1777, 2429, 3771, 4603, 5784, 6836, 8174, 104, 1827, 3137, 3886, 4835, 6212, 7094, 7528, 104, 2079, 2312, 3920, 4385, 5491, 7094, 7846, 940, 2079, 2167, 3697, 4554, 5776, 6646, 8267, 308, 2046, 3007, 4114, 4861, 6146, 6820, 7706, 419, 1224, 2473, 4115, 4782, 6051, 6820, 8107, 256, 1700, 2473, 4071, 4512, 6137, 6776, 8083, 518, 1108, 2818, 3933, 4983, 5550, 7018, 7838, 256, 1791, 2473, 3407, 5080, 5761, 6988, 8069, 878, 2030, 2970, 3524, 4225, 6129, 6584, 8179, 1015, 1791, 2869, 3914, 4214, 5873, 7140, 7427, 450, 1787, 2636, 3838, 4324, 5558, 6613, 7570, 948, 1469, 2561, 3307, 5165, 5732, 6859, 7772, 784, 1469, 2240, 3345, 4311, 5512, 6243, 7888, 443, 1469, 2663, 3482, 4399, 5512, 7142, 7939, 582, 1360, 2173, 3563, 4389, 5369, 6762, 7502, 150, 1524, 2716, 3567, 4642, 5679, 7219, 7627, 881, 1306, 3040, 3703, 4659, 5775, 6348, 7627, 881, 1440, 2649, 4037, 4794, 5914, 6224, 8006, 737, 1982, 3040, 3960, 4196, 5594, 6419, 7693, 314, 1740, 2568, 3785, 4539, 5207, 6731, 7508, 1023, 1199, 3036, 3623, 4741, 5494, 6644, 8171, 1005, 1199, 2248, 4150, 4525, 5608, 6858, 7823, 678, 1860, 2383, 3962, 4806, 5599, 7169, 7279, 1056, 1318, 2980, 3987, 4896, 6051, 6540, 8086, 512, 1750, 2838, 4171, 5106, 5550, 6688, 8267, 1056, 1773, 2960, 4114, 4470, 5216, 7168, 7383, 804, 2068, 2947, 3982, 4533, 6181, 6709, 7631, 1056, 1945, 2503, 3183, 5088, 5436, 6786, 7557, 1090, 2125, 2944, 4027, 4334, 6195, 7010, 8237, 1025, 1269, 2330, 3917, 5106, 5550, 6688, 8069, 487, 1915, 3089, 3385, 5193, 6218, 6802, 8085, 487, 2117, 2455, 3649, 5164, 5775, 6301, 7659, 993, 1439, 2491, 3793, 4385, 5914, 6724, 7986, 1023, 2117, 2207, 3882, 4881, 5569, 6302, 7488, 646, 1183, 2247, 3614, 4873, 5675, 6866, 8171, 508, 1809, 2231, 3924, 4448, 6118, 6784, 7265, 508, 2050, 2494, 3495, 4758, 5344, 6478, 7529, 880, 1828, 2173, 4053, 4547, 5578, 6691, 7305, 407, 1199, 2636, 3295, 4338, 5759, 7244, 7542, 662, 1337, 2951, 3295, 4804, 5797, 6970, 8086, 371, 1139, 2307, 3751, 4724, 5341, 7237, 7930, 803, 2059, 2871, 4057, 5065, 5476, 6762, 7999, 986, 1978, 2848, 3623, 5195, 5483, 6514, 7659, 1056, 1581, 2384, 3956, 4834, 6128, 6852, 7592, 779, 1984, 2975, 3922, 4181, 5565, 6630, 7870, 1056, 1467, 3007, 3530, 4861, 5844, 7129, 8227, 610, 2098, 2222, 3990, 4460, 5678, 6443, 7397, 807, 1496, 2380, 3504, 5150, 5212, 7157, 8125, 487, 1323, 2856, 3498, 4664, 6144, 6820, 7611, 620, 1347, 3101, 3623, 5092, 5624, 6627, 7363, 804, 1974, 2316, 3550, 4510, 5610, 6919, 7805, 1097, 1248, 2989, 3891, 5040, 5883, 6569, 7825, 956, 1992, 3110, 3516, 4366, 6051, 7201, 8185, 488, 1856, 3117, 4150, 5159, 6129, 6972, 8147, 818, 1175, 2164, 3710, 4583, 5210, 6972, 7723, 552, 2127, 3147, 3188, 4549, 5635, 7132, 8267, 617, 1974, 2833, 3391, 4549, 5385, 7091, 8179, 617, 1695, 3026, 3570, 5157, 5493, 7237, 8188, 183, 1736, 3000, 3217, 5160, 5957, 7100, 7906, 617, 1372, 2869, 3391, 4890, 6101, 6688, 7664, 617, 1468, 2833, 3550, 4459, 5580, 6810, 7865, 617, 1468, 2775, 3550, 5060, 5713, 6772, 7906, 617, 1695, 3035, 4083, 4398, 5935, 7006, 8130, 617, 2127, 2729, 4068, 4764, 5296, 6810, 8130, 105, 1147, 2775, 4149, 4583, 5515, 6909, 8061, 105, 1147, 2596, 3891, 4622, 5443, 6677, 7563, 4, 2 ]

[ 1, 31, 16, 5, 52, 14, 64, 66, 5, 17, 75, 5, 31, 33, 53, 5, 28, 48, 44, 55, 5, 39, 66, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 6752, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7124, 8147, 488, 2017, 3065, 3893, 4704, 6139, 6794, 8196, 1099, 1804, 3043, 4018, 4583, 5635, 6988, 7949, 216, 1523, 2924, 4068, 4912, 6051, 6302, 7485, 1033, 1966, 2152, 4026, 4691, 6000, 7129, 7878, 832, 1199, 2727, 3524, 4547, 5536, 6756, 7273, 528, 1199, 2900, 4136, 4506, 5519, 6478, 8128, 728, 1426, 2393, 4136, 4974, 6138, 6663, 8231, 314, 1183, 3014, 3547, 4738, 5384, 6600, 8149, 784, 1129, 2274, 3623, 4475, 5396, 6835, 7786, 1101, 1183, 2785, 3727, 4755, 5357, 7005, 8172, 643, 1183, 3149, 3832, 4930, 5950, 7106, 8149, 923, 1503, 2868, 3497, 4841, 6130, 6583, 8250, 1025, 1974, 3092, 3648, 4998, 6167, 6234, 8068, 271, 1596, 2721, 3286, 4495, 5640, 6790, 7516, 895, 1596, 2610, 3960, 4808, 5880, 6494, 7469, 150, 1740, 2250, 3533, 4683, 6119, 7137, 7255, 1023, 1183, 2813, 3565, 5050, 5205, 6982, 7615, 723, 2067, 2173, 3530, 4842, 6010, 6894, 7373, 162, 1513, 2931, 4073, 4422, 5881, 6906, 8269, 584, 2061, 2772, 3152, 4864, 5970, 6962, 8149, 1050, 1284, 2358, 3712, 4395, 5787, 6969, 7854, 360, 2011, 2585, 3688, 4678, 6210, 6282, 7702, 1064, 1907, 2141, 4117, 5124, 6052, 7106, 7304, 835, 1668, 2844, 3785, 5066, 5533, 7138, 7393, 262, 2100, 2587, 3512, 5199, 5490, 6612, 7623, 868, 2115, 2561, 3921, 4678, 5455, 7175, 7768, 653, 1323, 2612, 3221, 5170, 5958, 6651, 8070, 1047, 1356, 3040, 3770, 4764, 5900, 7086, 7602, 216, 1968, 2239, 4105, 4777, 5811, 6874, 7421, 613, 2127, 2493, 3205, 4844, 5658, 6717, 7466, 225, 1570, 2349, 3204, 4298, 5962, 7162, 8202, 225, 1853, 2609, 3662, 4682, 5277, 6579, 8022, 228, 2060, 3133, 3931, 4214, 6110, 6338, 7876, 240, 2106, 3021, 3407, 4387, 5223, 7152, 7706, 789, 1961, 3021, 4174, 4855, 5767, 6584, 8262, 419, 1961, 2833, 3407, 4398, 6048, 7120, 7723, 419, 1528, 3147, 4113, 4214, 5677, 6752, 7677, 789, 1648, 3006, 4026, 4863, 5579, 7207, 7876, 256, 1623, 2287, 4085, 5061, 5219, 6671, 7959, 645, 1400, 2868, 3550, 4513, 5883, 6968, 7918, 567, 1496, 2846, 3934, 4279, 5758, 6301, 8096, 1036, 2047, 2986, 4147, 5011, 5450, 6985, 7578, 692, 2043, 2785, 3532, 4800, 5335, 6732, 7647, 512, 1509, 2313, 3290, 4453, 5684, 7059, 7979, 779, 1797, 2391, 3866, 4186, 5534, 7132, 8185, 304, 1407, 2775, 3932, 4912, 6129, 7077, 8080, 216, 2073, 2847, 3645, 4592, 6123, 7058, 7715, 955, 1635, 3150, 3803, 4828, 5378, 6415, 8185, 401, 2073, 2991, 3776, 5145, 5893, 6612, 8195, 363, 1828, 2313, 3842, 4364, 6107, 7115, 7593, 862, 1482, 3040, 3356, 4545, 5889, 6644, 7453, 360, 1562, 2156, 3796, 4338, 5579, 7200, 8194, 540, 1826, 2785, 3223, 4796, 6144, 6672, 7498, 571, 1708, 2661, 3878, 5079, 6171, 6809, 7876, 401, 1692, 2436, 3538, 4551, 6128, 7023, 7765, 223, 1167, 2265, 4102, 4954, 6157, 6244, 7574, 970, 1302, 3080, 3395, 4925, 5788, 7069, 7467, 1033, 1543, 2429, 3901, 4407, 5523, 6524, 7941, 1025, 1692, 2429, 4150, 4780, 6175, 6347, 7764, 1025, 1935, 2429, 3990, 4780, 6123, 7100, 7976, 390, 1915, 2340, 3932, 4993, 6131, 7047, 7498, 512, 2046, 3135, 4108, 5159, 6103, 6786, 7764, 308, 2000, 2838, 4018, 5038, 5635, 6988, 7949, 143, 1716, 2729, 3533, 5166, 5261, 6589, 7480, 487, 1403, 2357, 4035, 4346, 5381, 6883, 8073, 1023, 1550, 2292, 3167, 4636, 5972, 7053, 8092, 986, 1306, 2940, 3356, 4578, 5443, 6348, 8149, 487, 2055, 2311, 3642, 5011, 6031, 7154, 7488, 807, 1682, 2311, 3309, 4539, 5364, 7232, 7496, 986, 1393, 2311, 4130, 4364, 5259, 6241, 8041, 487, 1302, 2830, 3731, 5193, 5678, 7203, 7973, 545, 1850, 2311, 3193, 4745, 6002, 7246, 7795, 986, 1563, 3033, 3376, 4321, 6119, 6894, 7954, 986, 1306, 2750, 3582, 4321, 5787, 6651, 7986, 986, 1692, 2282, 3601, 4321, 5793, 7119, 8126, 582, 1360, 2282, 4137, 4321, 5615, 7163, 8178, 826, 1550, 2282, 4137, 5052, 5927, 6224, 7545, 826, 1674, 2901, 3394, 4321, 5953, 6530, 7467, 826, 1269, 2658, 3329, 4246, 6002, 6659, 7627, 826, 1550, 2750, 3201, 4321, 5886, 6234, 8150, 826, 1550, 2648, 3979, 4321, 5500, 6530, 7660, 993, 1633, 2688, 3513, 4321, 5443, 7038, 7643, 993, 1858, 2401, 3398, 4321, 5298, 6772, 7951, 1025, 1708, 2946, 3728, 4330, 5325, 6431, 8248, 1025, 1494, 2163, 3796, 4334, 5981, 6991, 8117, 1025, 1494, 2503, 3873, 4859, 5260, 6567, 7991, 1025, 1858, 2736, 3962, 4553, 6181, 7149, 7547, 1025, 1858, 2688, 3493, 4782, 6128, 7168, 8217, 610, 1685, 2688, 4078, 5010, 6002, 6765, 7664, 778, 1755, 3033, 3187, 4670, 5908, 6401, 7607, 887, 1993, 3033, 3789, 4942, 6058, 6884, 8015, 104, 1633, 2899, 3430, 4602, 5300, 6850, 7846, 1025, 1773, 2678, 3778, 4888, 5989, 6776, 8017, 1025, 1255, 2884, 3920, 4670, 5678, 7160, 7872, 211, 1791, 2899, 3440, 5098, 5765, 7207, 8185, 211, 1924, 2503, 3918, 5038, 6051, 6734, 8076, 684, 1467, 2925, 3188, 5159, 5216, 7162, 7720, 804, 1791, 3095, 3645, 5038, 6051, 7058, 7723, 1097, 1791, 2838, 4018, 4798, 6129, 7077, 7766, 956, 1998, 2949, 3866, 5058, 6129, 6972, 7766, 488, 1998, 2803, 4114, 5061, 6139, 6979, 8147, 818, 2017, 3110, 3893, 5058, 6211, 6794, 8196, 488, 1622, 2914, 3893, 4624, 6139, 7077, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 543, 1623, 2669, 4026, 4387, 5548, 7006, 7677, 927, 1133, 3068, 3870, 4571, 5527, 6803, 7660, 294, 1244, 2703, 3236, 5151, 5224, 6292, 8129, 1023, 1674, 2748, 4137, 4335, 5485, 6224, 8025, 286, 1708, 2311, 3714, 5090, 5898, 6974, 7273, 545, 1572, 2282, 3537, 5031, 5490, 6536, 7654, 582, 1708, 2282, 3576, 4546, 5544, 7215, 7967, 582, 1489, 2282, 4137, 4421, 5610, 6985, 7524, 986, 1826, 2877, 3458, 5110, 5512, 6442, 7983, 663, 1269, 2924, 3967, 5031, 5485, 7094, 8259, 356, 2021, 2793, 4025, 5124, 5773, 6984, 7618, 512, 2000, 2946, 3877, 4206, 5886, 7232, 7492, 510, 1620, 2957, 3990, 4512, 6211, 7232, 8260, 818, 1623, 3135, 3886, 4859, 6205, 7084, 8132, 1097, 1620, 2554, 4145, 4551, 6129, 6996, 8266, 1099, 1620, 2944, 3226, 4859, 5761, 6752, 8261, 935, 1623, 3110, 3440, 5166, 5241, 6709, 8267, 1020, 1886, 2839, 3559, 4359, 6065, 6774, 8173, 518, 1550, 2970, 4078, 4750, 5218, 7090, 7524, 256, 1695, 2608, 3874, 4580, 6160, 6740, 7920, 617, 1695, 2432, 3550, 4764, 6137, 6612, 7549, 617, 1695, 2432, 3564, 5053, 5514, 6604, 7664, 859, 1468, 2271, 3857, 4896, 5883, 6515, 7631, 859, 1684, 2970, 3595, 5088, 6189, 7207, 7806, 935, 1623, 2833, 3175, 5135, 5844, 6810, 8147, 186, 1684, 3110, 4145, 4704, 5963, 7077, 8196, 818, 1684, 2991, 3825, 4798, 6139, 7201, 7717, 488, 2017, 2914, 4071, 4624, 5705, 7077, 8223, 818, 2017, 3065, 3893, 4798, 6186, 6794, 7717, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 11, 54, 5, 31, 16, 5, 63, 45, 66, 44, 55, 66, 16, 28, 16, 52, 5, 5, 3, 915, 2111, 2340, 4174, 4512, 6160, 6810, 7563, 552, 2127, 2729, 4006, 4387, 5385, 6996, 7643, 186, 2111, 2340, 3277, 5083, 5359, 7132, 7557, 860, 2065, 3065, 3803, 4704, 5241, 6688, 8196, 860, 1622, 3065, 4174, 4624, 6139, 7077, 8147, 488, 1622, 2164, 3893, 4624, 5635, 7077, 8147, 899, 1426, 2352, 4068, 5058, 5767, 6889, 8083, 973, 1318, 2580, 3294, 4808, 5715, 7073, 7951, 897, 1426, 2458, 3584, 4823, 6114, 6348, 7500, 459, 1757, 2373, 3735, 4637, 5623, 7053, 7652, 1035, 1660, 2998, 3758, 4761, 5633, 7100, 8230, 104, 1717, 3003, 3870, 4323, 5204, 6583, 7367, 1025, 1797, 2427, 3162, 4954, 5209, 7132, 7557, 390, 1881, 2754, 3188, 4856, 6085, 7237, 8209, 1090, 1773, 2925, 4108, 4980, 6175, 6850, 7992, 489, 1238, 2783, 3364, 4782, 6103, 7010, 7918, 620, 1171, 3092, 3394, 4389, 6104, 6740, 7284, 875, 1199, 2938, 3452, 5120, 5611, 6746, 7829, 249, 1199, 2508, 3619, 4364, 5320, 6324, 7779, 150, 2048, 3029, 3605, 4595, 5604, 6399, 8259, 150, 1874, 2348, 3873, 5003, 5207, 7198, 7815, 150, 1897, 2786, 3731, 4200, 5814, 7198, 7965, 1090, 1424, 2797, 4152, 4589, 6063, 7221, 7895, 610, 1424, 2925, 3671, 4729, 5705, 6980, 7906, 1056, 1919, 2647, 4011, 4379, 5968, 7090, 8266, 288, 1867, 2781, 3602, 4787, 6182, 6820, 7290, 887, 1982, 3015, 3630, 4803, 5844, 7152, 7630, 277, 2063, 2591, 3938, 5145, 6160, 6930, 7458, 493, 1770, 2670, 3387, 4514, 5399, 6518, 8149, 662, 1704, 2274, 4053, 5091, 5700, 6658, 7384, 966, 1171, 2175, 3244, 4716, 5799, 6614, 8026, 673, 1826, 2758, 3979, 4503, 5980, 6881, 7531, 662, 2036, 2586, 3904, 4675, 5400, 6333, 7933, 113, 1636, 2911, 3307, 5124, 6155, 7023, 7480, 976, 1858, 2911, 3792, 4494, 5339, 6768, 7976, 545, 2107, 2316, 3963, 4805, 6050, 6670, 7873, 288, 1186, 3144, 3904, 4784, 6010, 7129, 7908, 684, 1526, 3135, 4026, 5153, 5981, 6309, 7631, 715, 1489, 2839, 3424, 5085, 5982, 7149, 7831, 952, 1146, 2481, 3709, 5184, 6014, 7120, 7256, 986, 1250, 2142, 3802, 5114, 5474, 7044, 7442, 986, 2033, 2951, 3936, 4708, 5643, 6414, 7996, 807, 1335, 2156, 3613, 4298, 6066, 6815, 7873, 850, 1674, 2736, 4015, 4807, 5828, 6680, 8117, 610, 1499, 3053, 3398, 4385, 5212, 6338, 7740, 424, 1306, 2436, 3917, 4573, 5832, 7168, 7941, 887, 1227, 2946, 3351, 4440, 5204, 6566, 8188, 104, 1773, 2581, 3717, 4985, 6222, 7207, 7383, 663, 1146, 3063, 3206, 5169, 6205, 7084, 8195, 288, 1238, 2555, 3917, 5129, 6123, 6668, 7959, 488, 1945, 3117, 3440, 4366, 5705, 6515, 8147, 935, 1620, 3135, 4011, 5080, 5241, 6988, 7720, 453, 2084, 2988, 3374, 5159, 5515, 6740, 7876, 699, 1264, 2542, 3777, 5138, 5761, 6563, 7383, 225, 1684, 2432, 3726, 4762, 6137, 6612, 8261, 859, 1791, 3147, 3217, 4387, 5514, 6575, 8080, 211, 2008, 3135, 4153, 4329, 6050, 7152, 8132, 650, 2034, 2444, 3166, 5150, 5792, 7095, 8236, 668, 1580, 2348, 3169, 4575, 5953, 6244, 7510, 702, 1397, 3029, 3732, 4641, 5741, 6781, 8023, 545, 1545, 2260, 3687, 4311, 5982, 6520, 7873, 569, 1550, 2261, 3355, 4995, 5894, 6224, 7665, 1003, 1550, 2232, 3430, 5050, 6002, 6764, 8086, 487, 1540, 2655, 3679, 4604, 5482, 6913, 7965, 103, 2107, 2407, 4137, 4945, 5981, 6840, 8073, 951, 2125, 2638, 3692, 4186, 5981, 6740, 7997, 684, 1620, 2729, 3866, 4622, 5340, 6979, 8227, 804, 1705, 2895, 3593, 5080, 5590, 7201, 7255, 308, 1581, 2838, 4071, 4622, 5761, 6752, 7557, 715, 1791, 3006, 3914, 4437, 5360, 7025, 7939, 1005, 1681, 2389, 3994, 5175, 5968, 6645, 7520, 641, 2050, 3145, 3454, 4437, 5438, 6722, 8081, 993, 1871, 2173, 3975, 4963, 5509, 7047, 8081, 784, 1926, 3003, 3536, 4711, 5224, 6404, 8253, 504, 1926, 2239, 3910, 4214, 5717, 6904, 8188, 386, 1513, 2888, 3556, 4214, 5523, 6878, 7873, 643, 1776, 2173, 4034, 4271, 5659, 7031, 7277, 678, 1916, 2998, 3533, 4987, 5934, 6615, 8236, 1047, 1664, 2721, 3710, 5066, 6050, 7190, 7594, 571, 1446, 2880, 4041, 4782, 5378, 6265, 7806, 684, 1777, 2991, 3206, 5106, 6051, 6515, 8195, 488, 1175, 2838, 4166, 4551, 6182, 6972, 7631, 818, 1175, 2880, 3645, 4782, 5705, 6988, 8066, 818, 2017, 3110, 4071, 5165, 6186, 7218, 8260, 818, 1622, 3008, 4011, 5058, 6186, 6794, 7949, 818, 2017, 2914, 3893, 4798, 5832, 7239, 7641, 818, 1648, 2914, 3825, 5038, 6139, 6794, 8147, 488, 1528, 2914, 3893, 4624, 6085, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 17, 75, 5, 54, 33, 75, 35, 5, 14, 64, 51, 44, 55, 5, 43, 45, 53, 5, 76, 33, 63, 5, 43, 48, 5, 44, 51, 64, 62, 33, 51, 66, 16, 30, 5, 66, 73, 5, 42, 57, 5, 66, 73, 5, 45, 41, 5, 43, 48, 5, 30, 45, 30, 5, 64, 17, 29, 5, 67, 45, 55, 78, 5, 5, 3, 142, 1851, 2806, 4145, 4704, 6211, 6889, 8147, 555, 1623, 2473, 3891, 4902, 6129, 6889, 7732, 1047, 1724, 2344, 3169, 5127, 5578, 6746, 7586, 983, 2008, 2213, 3894, 4567, 5959, 6663, 7261, 428, 2008, 2409, 3471, 4364, 5925, 6386, 7618, 768, 1296, 2491, 4025, 4874, 5783, 6801, 7599, 428, 1582, 2670, 3321, 5158, 5280, 6661, 7270, 1030, 1850, 2409, 3404, 4600, 5212, 6500, 7656, 752, 1582, 2244, 3392, 4656, 5804, 6818, 7551, 211, 1881, 2944, 3885, 5091, 5834, 6235, 8205, 1090, 1700, 2678, 4171, 4861, 6063, 6979, 7284, 390, 1858, 3038, 3380, 4387, 5671, 7067, 7591, 1056, 1388, 2960, 3487, 4622, 5599, 6586, 8260, 776, 1821, 2946, 3843, 4912, 5652, 7156, 7677, 516, 1668, 2527, 3874, 4881, 5690, 6388, 7960, 390, 1791, 2754, 3488, 4387, 5661, 7207, 7494, 887, 1227, 2282, 3374, 5160, 6007, 6702, 7962, 104, 1388, 2871, 3516, 4430, 5512, 6314, 7386, 104, 1388, 3049, 3755, 4813, 5672, 6550, 8017, 104, 1388, 2979, 3877, 4273, 6178, 7244, 7777, 986, 1850, 2429, 3991, 4930, 6178, 7091, 8188, 887, 1928, 2429, 4127, 5050, 5942, 6349, 8134, 1101, 1507, 2709, 4120, 5001, 6015, 6520, 7657, 363, 1397, 2986, 4022, 4238, 5490, 6474, 7469, 1023, 1938, 2265, 3448, 4318, 5775, 6447, 7520, 493, 1768, 2953, 3251, 4982, 5970, 7141, 8052, 546, 1826, 2161, 3338, 4409, 6009, 6354, 8250, 723, 1826, 2581, 3162, 4434, 5783, 6267, 8140, 494, 1972, 2953, 3618, 4464, 6135, 6309, 7853, 1047, 1655, 2674, 3953, 4650, 5479, 7163, 7676, 571, 1545, 2515, 3918, 4830, 5824, 7012, 8020, 779, 1322, 2946, 3694, 4439, 6123, 7232, 7872, 1091, 1992, 2946, 3987, 5088, 5755, 6646, 8234, 537, 1477, 2584, 3349, 5175, 6146, 6710, 8252, 1084, 1412, 2440, 3289, 4852, 5697, 7127, 7465, 1019, 1479, 2298, 4103, 4879, 6153, 6502, 7737, 946, 1736, 2593, 4057, 5027, 5995, 6352, 7579, 83, 1736, 2593, 3278, 5020, 5967, 6754, 7524, 277, 1517, 2170, 3434, 4465, 5717, 6884, 7581, 876, 1517, 2824, 4004, 4650, 5604, 6429, 7581, 344, 1517, 2940, 3169, 4824, 5958, 6714, 8018, 864, 1517, 2222, 3200, 4408, 5392, 6599, 7478, 547, 1960, 2159, 3463, 4899, 5708, 6887, 7904, 137, 1108, 2764, 3857, 4736, 6133, 7078, 7688, 584, 1496, 2552, 3332, 4560, 5769, 6742, 8169, 604, 1496, 2310, 3427, 4612, 6153, 6318, 8210, 768, 1267, 2290, 3552, 4568, 6210, 7066, 8034, 774, 1356, 2339, 3940, 4937, 5311, 6263, 7277, 673, 1852, 2869, 3641, 5152, 6150, 6292, 7309, 310, 1356, 2871, 3356, 4233, 5815, 6675, 7748, 310, 1785, 2732, 3604, 4697, 6116, 6706, 7986, 775, 1201, 2937, 3394, 5011, 5273, 6966, 7921, 1017, 1548, 2869, 4130, 5065, 5314, 6307, 7301, 1017, 2092, 2431, 3259, 4666, 5662, 6834, 7585, 888, 1820, 2715, 3413, 4612, 5506, 7172, 8248, 895, 1507, 2655, 3570, 4305, 5351, 7131, 7726, 518, 1897, 2867, 3196, 4841, 5219, 6990, 8118, 654, 1674, 2953, 3316, 4877, 5704, 6895, 8086, 195, 2028, 2444, 3891, 4859, 5594, 6588, 8236, 518, 1961, 2725, 3710, 4716, 5296, 6576, 8118, 518, 2127, 2730, 3227, 5075, 5352, 6899, 7494, 568, 1479, 2303, 3595, 5193, 5661, 6610, 7898, 132, 2097, 2792, 3361, 4287, 5861, 6745, 7248, 186, 1961, 2860, 3891, 4888, 5892, 6889, 7703, 935, 1851, 3133, 3891, 5129, 5514, 6889, 8164, 475, 2032, 2746, 3891, 5138, 6149, 6688, 8047, 221, 2025, 2750, 3394, 4411, 5441, 7024, 7698, 571, 2090, 3144, 3218, 4641, 6031, 7218, 7641, 767, 2008, 2492, 3710, 4978, 5443, 6604, 8265, 487, 1315, 2346, 3999, 5000, 6034, 7091, 8181, 920, 2008, 2365, 3358, 4882, 5386, 6905, 8061, 737, 1550, 3080, 3540, 4813, 6114, 6485, 7384, 150, 1655, 2384, 4137, 5081, 5874, 6528, 7954, 1025, 1797, 2944, 3410, 4983, 5515, 7174, 8085, 643, 1717, 2492, 3756, 5164, 5730, 6272, 7604, 887, 1548, 2750, 3472, 4592, 5423, 6702, 7466, 150, 1255, 2750, 3271, 5037, 5441, 6401, 7474, 1025, 1782, 2436, 3909, 4318, 5893, 6430, 7811, 1029, 1773, 2492, 3801, 4792, 5993, 7006, 8050, 545, 1850, 2436, 3987, 4555, 5246, 7004, 8216, 825, 1708, 2975, 3986, 4881, 5212, 6872, 7529, 952, 2095, 2352, 3592, 4364, 5565, 6563, 8213, 715, 1660, 2142, 3960, 4214, 5810, 6708, 7776, 750, 2053, 2751, 3623, 4876, 5663, 6267, 7367, 459, 1808, 3150, 4007, 4644, 5589, 6307, 7312, 536, 1850, 2751, 3195, 5153, 5918, 6974, 8191, 363, 2036, 2665, 3509, 4804, 6177, 6903, 7682, 1101, 2009, 2665, 3433, 5148, 5370, 6838, 7637, 386, 1548, 2469, 3395, 4872, 5533, 7017, 7955, 784, 1826, 2309, 3941, 4836, 5923, 6777, 7615, 779, 1807, 2661, 3926, 4805, 5663, 6565, 7952, 767, 1363, 2282, 3975, 4622, 6080, 7006, 7442, 731, 1363, 2282, 3352, 4717, 6121, 6740, 8093, 948, 1363, 3080, 3361, 5152, 6119, 7100, 7720, 731, 1992, 2705, 3605, 5079, 5216, 6349, 7829, 216, 1475, 2638, 4152, 5088, 6205, 6515, 7597, 401, 2068, 2391, 4145, 4764, 5661, 6254, 7557, 304, 1812, 2946, 4087, 4912, 5968, 6891, 7570, 504, 1302, 2860, 3766, 5079, 5671, 6894, 7311, 643, 1402, 3043, 3251, 4589, 5811, 6467, 7584, 150, 1908, 2554, 3979, 4215, 5893, 6532, 7898, 608, 1535, 2491, 3999, 4228, 6145, 6404, 8252, 363, 1213, 3107, 3392, 5088, 5380, 6304, 7850, 249, 1141, 2726, 3496, 4830, 5348, 6504, 7950, 399, 1557, 2298, 3358, 4347, 5344, 6244, 7737, 737, 1507, 2765, 3578, 4413, 5226, 7051, 7866, 1017, 1543, 2298, 3865, 4205, 5547, 6800, 7313, 723, 1826, 2732, 3340, 4929, 5721, 6295, 8092, 994, 1708, 2490, 3900, 4945, 5906, 6453, 7905, 1019, 2059, 2444, 4159, 4897, 5838, 6626, 7610, 1019, 2059, 2548, 4098, 5070, 6194, 6457, 8064, 876, 1494, 2378, 3314, 5034, 5960, 7178, 7367, 1071, 1453, 2548, 3640, 5070, 5730, 6235, 8031, 308, 2111, 2801, 3891, 4589, 5548, 7111, 8198, 715, 1411, 2642, 3936, 4287, 6044, 7162, 7574, 103, 1421, 2352, 3751, 4859, 5364, 6613, 7584, 160, 1732, 2503, 4102, 5108, 5441, 7095, 7458, 319, 1881, 2268, 3298, 5148, 5408, 6670, 7934, 299, 1121, 2751, 3751, 4616, 5292, 7160, 7759, 299, 1692, 2564, 3709, 5023, 5370, 7091, 7843, 150, 1692, 2791, 3375, 4995, 5366, 7072, 8143, 826, 1206, 2492, 3323, 4384, 5504, 6224, 8266, 993, 1732, 2601, 3939, 5164, 5565, 6383, 7785, 993, 1116, 2492, 3218, 4539, 6135, 7076, 7704, 936, 1732, 2534, 3235, 5031, 6086, 6224, 7828, 884, 1732, 3018, 3515, 4259, 5443, 7053, 7288, 535, 1695, 2429, 3707, 4636, 5647, 6224, 8132, 778, 1570, 2552, 3741, 5022, 6068, 7100, 7777, 1090, 1275, 2487, 3376, 4402, 6146, 6512, 7843, 1056, 2091, 2210, 3866, 5084, 6051, 6477, 7409, 510, 2000, 2936, 3827, 5138, 6014, 6895, 7260, 356, 1620, 2971, 3516, 5134, 6103, 6485, 7717, 878, 2000, 2349, 3470, 5104, 5333, 6563, 7563, 225, 1742, 2175, 3516, 4743, 6110, 6668, 7575, 334, 1597, 2976, 3550, 5113, 5683, 7112, 7852, 225, 1570, 2944, 4149, 4715, 5458, 6906, 7498, 568, 2127, 2562, 3245, 4918, 5749, 6307, 7538, 757, 1756, 2328, 4064, 4423, 5474, 6879, 7806, 488, 2000, 2729, 3710, 4611, 5844, 6589, 7473, 818, 1622, 3117, 3827, 5159, 5677, 7069, 8179, 419, 2017, 2833, 3825, 4549, 6139, 6996, 7677, 419, 1684, 2806, 4166, 5166, 6182, 7090, 8164, 475, 1963, 3043, 4026, 5183, 5892, 6979, 8066, 640, 1290, 2378, 4026, 4546, 6001, 6895, 7311, 1034, 1302, 2987, 3686, 4176, 5212, 6243, 7849, 1017, 1375, 2506, 3353, 4254, 5301, 7001, 7660, 876, 1732, 2230, 3884, 4584, 5745, 6656, 7386, 1057, 1732, 2263, 3741, 4350, 5940, 7235, 7843, 424, 2125, 3052, 3842, 4878, 5730, 7049, 7962, 308, 2106, 3104, 3945, 5166, 6131, 7173, 7664, 1097, 1876, 3110, 3767, 5075, 5684, 6734, 8195, 859, 1845, 2838, 3440, 4870, 5767, 7084, 8237, 153, 1719, 2818, 3516, 5157, 6000, 6577, 7473, 617, 1205, 2139, 3955, 4180, 6170, 7085, 7948, 356, 2000, 2880, 3535, 5060, 5811, 6604, 8054, 568, 1752, 2987, 3535, 4609, 5873, 7150, 8047, 757, 1206, 2885, 4168, 5134, 5963, 7017, 7264, 716, 1241, 2625, 3232, 4622, 6000, 6883, 7858, 1101, 1820, 2343, 4097, 5193, 6001, 6315, 7496, 759, 1826, 2422, 3905, 5193, 5609, 6898, 7726, 211, 2106, 2282, 3994, 5054, 5802, 6721, 7826, 684, 1771, 2424, 3975, 4782, 5263, 6810, 7677, 304, 1534, 3053, 3516, 5088, 5590, 6584, 7764, 914, 2046, 2936, 4145, 5106, 6137, 7084, 8237, 356, 1320, 2238, 3472, 5120, 5555, 7132, 7799, 221, 2063, 2180, 3999, 5124, 5942, 6520, 7793, 582, 2009, 2156, 3770, 4449, 6185, 6899, 8150, 781, 1504, 2188, 3536, 5114, 5407, 6614, 7888, 266, 2059, 3126, 3416, 4466, 5778, 6469, 7397, 401, 1529, 2163, 3580, 4670, 5474, 6667, 7702, 512, 1860, 2975, 4085, 4859, 5893, 6239, 8076, 1056, 1227, 2167, 3188, 5058, 6182, 6996, 8083, 955, 2079, 3006, 4115, 4980, 5493, 6515, 8179, 308, 1455, 2803, 4071, 5139, 6205, 6979, 8066, 293, 1682, 3124, 4007, 4272, 5778, 7162, 7367, 993, 2012, 2188, 3665, 4335, 5237, 6443, 7707, 608, 1550, 3037, 3290, 4346, 5384, 6820, 7590, 360, 1167, 2346, 3351, 4731, 5979, 6422, 7674, 875, 1213, 2491, 3283, 4546, 5659, 6282, 7534, 266, 1338, 2923, 3563, 4438, 5471, 6866, 8033, 363, 1799, 2892, 3218, 4963, 6167, 6484, 7527, 1080, 2050, 2175, 3205, 4298, 5742, 6437, 7905, 975, 1633, 2175, 4034, 4729, 5654, 6676, 7955, 547, 1972, 3060, 3960, 4253, 5591, 6628, 7686, 1011, 1838, 2648, 3974, 4709, 5555, 6740, 7397, 1047, 1871, 2944, 4114, 4471, 5264, 6393, 7458, 1047, 1269, 2814, 4027, 4444, 5964, 6229, 7661, 831, 1786, 2648, 4152, 5088, 6007, 7157, 7598, 512, 1509, 2960, 3982, 4822, 5687, 6688, 7664, 956, 1945, 2167, 4174, 5129, 6103, 6613, 8185, 935, 2046, 3110, 4171, 4912, 6103, 7132, 7764, 935, 1992, 2340, 4114, 5106, 5883, 7218, 8080, 397, 1347, 2139, 3866, 4916, 6147, 7017, 7896, 334, 1108, 2992, 3562, 5045, 5550, 7207, 7781, 225, 1600, 2729, 3723, 5135, 5678, 6231, 7806, 183, 1684, 2346, 3646, 5073, 5584, 6296, 7715, 617, 1300, 2775, 3555, 4985, 5792, 7024, 7260, 552, 1218, 3139, 3662, 4983, 6085, 6840, 7908, 216, 1234, 2771, 3857, 4417, 5536, 6338, 8197, 1033, 1635, 3104, 3533, 4458, 5811, 6881, 7533, 610, 1628, 2826, 3437, 5157, 5601, 7000, 7490, 373, 2001, 2564, 3361, 5157, 6110, 6564, 7649, 271, 1295, 2400, 3956, 4969, 5515, 7098, 7533, 1025, 1189, 2748, 3679, 4763, 5499, 6347, 7831, 970, 1317, 2974, 3276, 5135, 5404, 6413, 7427, 1011, 1880, 2975, 3731, 4780, 5687, 7120, 7947, 1024, 1317, 2858, 3869, 4196, 6086, 6614, 7289, 547, 1289, 2446, 3170, 4441, 5664, 6566, 8239, 938, 1912, 2805, 3713, 4494, 6002, 6936, 7428, 938, 1369, 2805, 4165, 4565, 5341, 6512, 8123, 1024, 2008, 2805, 3928, 5115, 5536, 6796, 7886, 1008, 1897, 2987, 3153, 4361, 5216, 7126, 8098, 641, 1669, 2793, 4147, 4537, 5235, 7181, 8108, 569, 1867, 2805, 3669, 4537, 5398, 6504, 7513, 299, 2070, 2847, 3928, 5040, 5905, 6918, 7759, 443, 1318, 2987, 4119, 4672, 5653, 6526, 7329, 1057, 1499, 2506, 3323, 5051, 5235, 6417, 7547, 1029, 1582, 3037, 3563, 5141, 5828, 6736, 7389, 150, 2008, 2547, 3960, 4985, 5785, 6736, 7854, 784, 1205, 2796, 3598, 5029, 5363, 6350, 7802, 864, 1982, 2309, 3676, 4271, 5419, 6793, 7396, 864, 1205, 2972, 3298, 4349, 5885, 6768, 7558, 1024, 1668, 2312, 3564, 5142, 5321, 6608, 7696, 1008, 1995, 2793, 3685, 5188, 6146, 6791, 7846, 942, 1776, 2659, 4150, 4215, 5772, 6692, 8168, 1064, 1871, 2316, 3950, 5106, 6025, 6408, 8078, 948, 1686, 2707, 3995, 4859, 5908, 7023, 8044, 779, 1499, 2892, 3253, 4330, 5687, 6338, 7972, 684, 1407, 2803, 3931, 4876, 5873, 6852, 7664, 1099, 1175, 3128, 3990, 4551, 5901, 6972, 8054, 914, 2095, 3007, 4006, 5058, 5968, 7084, 8195, 818, 1847, 3043, 3825, 4551, 6139, 7084, 8147, 956, 1175, 3128, 3945, 4704, 6103, 6786, 8267, 186, 1648, 2960, 3825, 5038, 6211, 7132, 7485, 555, 1750, 2991, 3891, 5104, 6103, 6979, 8147, 555, 2111, 3021, 4006, 4512, 6137, 6996, 7664, 555, 1684, 2554, 3374, 4704, 5840, 7239, 7865, 555, 1695, 2781, 4171, 4583, 5677, 7120, 8076, 859, 1750, 2858, 3827, 5079, 5586, 6604, 7723, 555, 1468, 3021, 3827, 4387, 5892, 7090, 7723, 859, 1695, 2340, 3487, 5083, 5963, 7201, 8126, 555, 1648, 2970, 3827, 5007, 5219, 7100, 7732, 859, 2127, 3144, 3914, 4267, 5811, 7077, 8267, 555, 1147, 2970, 3391, 4624, 5892, 6584, 7723, 555, 1147, 2554, 3893, 4870, 5635, 7226, 7717, 555, 1623, 3064, 3827, 4624, 5534, 6772, 8076, 555, 1147, 2970, 3803, 4622, 5635, 6996, 7485, 915, 1623, 2806, 3803, 4681, 5534, 6794, 7732, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8237, 142, 1528, 2806, 3825, 4704, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 915, 1648, 2806, 3825, 4798, 6186, 6794, 7715, 887, 1202, 2315, 3993, 5081, 6132, 6540, 7421, 902, 1541, 2732, 3756, 4903, 5734, 7127, 8082, 862, 1118, 3119, 3794, 4267, 5894, 6560, 7260, 653, 1688, 2725, 3751, 4218, 5555, 7115, 7858, 942, 1557, 2559, 3720, 4605, 5285, 6967, 7612, 789, 1931, 2473, 3440, 4923, 6006, 6810, 7537, 317, 1965, 2904, 3340, 5073, 5516, 7143, 7873, 899, 2098, 2278, 4041, 4512, 5832, 7129, 7666, 518, 2097, 3109, 3321, 5165, 5360, 7160, 7846, 518, 2097, 2970, 3866, 4638, 5385, 6646, 7545, 757, 1684, 3007, 3726, 4412, 6016, 7163, 7717, 850, 1787, 3053, 3955, 4180, 6122, 6924, 7669, 1098, 1815, 2487, 3363, 5050, 5677, 6566, 8075, 856, 1815, 2282, 3300, 4191, 5629, 6921, 8158, 856, 1550, 2349, 3292, 4224, 5478, 6933, 8248, 856, 1954, 2693, 3670, 4287, 5641, 6861, 8061, 582, 1889, 2867, 3417, 4421, 5776, 6579, 7812, 582, 1388, 2867, 3921, 4421, 5290, 6869, 7571, 986, 1281, 3080, 3543, 4996, 5663, 6560, 7900, 216, 1674, 3144, 3372, 4269, 6147, 7103, 7873, 512, 1499, 2980, 4120, 5095, 5719, 6260, 8107, 804, 1370, 2760, 4145, 4287, 5705, 7128, 7949, 684, 1981, 2783, 4145, 4630, 5883, 6979, 8066, 684, 1467, 2991, 4018, 5166, 6007, 6709, 8267, 211, 1924, 2957, 3516, 5159, 6205, 7218, 7723, 684, 1581, 2838, 3945, 4782, 5210, 7230, 7948, 804, 1804, 2783, 3516, 4630, 6103, 7237, 7887, 804, 1675, 3064, 4011, 5058, 6211, 7077, 8185, 308, 1218, 2838, 3982, 4366, 5635, 7077, 7485, 684, 1467, 3135, 4068, 5166, 6129, 7132, 7723, 304, 2012, 2975, 4108, 4870, 6051, 6809, 7876, 844, 1320, 3043, 3851, 4387, 5883, 6375, 7838, 882, 1695, 2750, 3792, 5127, 5641, 6338, 7445, 545, 1385, 2172, 3229, 5032, 5956, 6876, 7549, 1098, 1807, 2222, 3425, 4267, 5704, 7004, 8254, 870, 1640, 3119, 3454, 4882, 6147, 7209, 7408, 870, 1282, 2432, 3993, 4609, 6010, 6474, 7717, 856, 1291, 2452, 3977, 4493, 5899, 6944, 7905, 480, 1996, 2338, 4015, 4392, 5533, 6235, 8241, 902, 1241, 2508, 4015, 5036, 6055, 6604, 7791, 992, 1400, 2872, 4128, 4878, 5954, 6467, 7899, 545, 1608, 3139, 3963, 4444, 5313, 6901, 7568, 304, 1889, 3097, 3866, 4191, 5903, 6346, 8006, 571, 1773, 2944, 3681, 4727, 5978, 6349, 8185, 512, 1675, 2366, 3914, 4387, 5899, 6809, 7753, 390, 1881, 3003, 3776, 4630, 5216, 6755, 7959, 512, 2036, 2793, 4071, 5165, 6211, 7152, 8185, 308, 1705, 2957, 4068, 4387, 6129, 7058, 7421, 105, 1933, 2720, 4145, 4551, 6211, 6348, 7303, 824, 2098, 2349, 3391, 5120, 5310, 6612, 7831, 654, 1740, 2278, 3827, 4399, 5790, 6810, 7795, 654, 1938, 2181, 3337, 4267, 5890, 6757, 7939, 654, 1345, 2565, 4153, 4398, 5419, 6338, 8061, 654, 1286, 2986, 4145, 4775, 5890, 6528, 7476, 518, 1652, 2491, 3595, 5127, 5635, 7047, 7303, 518, 1961, 3064, 3827, 5079, 5678, 7160, 7563, 228, 1961, 2833, 3914, 5079, 6157, 6579, 8236, 617, 1992, 2725, 3777, 5088, 5580, 6809, 7906, 149, 2051, 2484, 3973, 4713, 6194, 6309, 7881, 900, 1278, 2361, 4130, 4386, 5351, 6698, 7293, 810, 1402, 2312, 3572, 4486, 6109, 6675, 7990, 161, 1496, 3039, 4079, 5074, 5504, 6436, 7779, 492, 1349, 2494, 3751, 4790, 5205, 7182, 7756, 407, 1821, 2196, 3751, 4364, 5959, 7094, 7349, 448, 1286, 3074, 3751, 4224, 5517, 6358, 7551, 915, 2041, 3135, 3951, 5007, 5978, 7207, 7303, 984, 1534, 2839, 4068, 4276, 6123, 6350, 7717, 356, 1916, 2988, 3188, 4387, 5968, 6749, 8164, 183, 2097, 3135, 3374, 4580, 6057, 6899, 7965, 118, 1597, 2341, 3291, 4512, 5892, 6895, 8126, 183, 1525, 2380, 3236, 4844, 6000, 7019, 7723, 334, 1286, 2721, 3391, 4863, 5534, 6614, 8180, 568, 1695, 2904, 4005, 4993, 5438, 6575, 8031, 757, 1684, 3004, 3751, 4762, 6179, 7160, 7723, 552, 2106, 2858, 3798, 5091, 6137, 7129, 7716, 555, 2111, 2858, 4168, 4918, 5493, 7152, 8076, 419, 1623, 2469, 3803, 4549, 5811, 6604, 7473, 789, 1756, 3062, 4174, 4923, 5840, 6709, 7715, 789, 1623, 2833, 3407, 4890, 5218, 6677, 8237, 789, 1304, 2880, 4068, 4870, 6211, 6589, 7723, 256, 1108, 3143, 4145, 4863, 5963, 6584, 7723, 518, 1496, 2473, 3827, 4844, 5493, 6688, 7799, 878, 1452, 2959, 3362, 4421, 5220, 6251, 7706, 335, 2065, 3008, 3987, 4870, 5694, 6804, 7743, 499, 2047, 2788, 3262, 4343, 6170, 7008, 8038, 1004, 1283, 3056, 3230, 4321, 5558, 7183, 7726, 994, 1708, 2487, 4047, 4321, 6199, 6535, 7754, 845, 1494, 2361, 3443, 4920, 5729, 6757, 8269, 271, 1283, 2247, 3871, 5192, 5325, 6383, 7950, 884, 1732, 2894, 3329, 4323, 6216, 7114, 8071, 986, 2009, 2751, 3597, 4571, 5800, 6622, 8087, 103, 1275, 2787, 3799, 5184, 5334, 6740, 8182, 103, 1468, 2456, 4103, 4641, 5918, 7127, 8188, 390, 1706, 2463, 3391, 4945, 6160, 6540, 7891, 678, 1550, 2791, 4035, 5104, 5904, 6915, 7870, 756, 1655, 2887, 4125, 4458, 5352, 6476, 7318, 1090, 1550, 2941, 3232, 4344, 5981, 6625, 8034, 424, 1550, 2474, 3541, 5122, 6149, 6547, 7919, 940, 1876, 2695, 3870, 4580, 6130, 7017, 7716, 103, 1562, 2661, 3472, 4533, 5657, 7047, 7658, 970, 1858, 2627, 3696, 5120, 5276, 7044, 7816, 955, 1858, 2866, 3848, 4513, 5550, 7019, 7267, 1051, 1847, 2794, 3445, 4792, 5944, 6349, 7537, 390, 1847, 2944, 4096, 5085, 6002, 7095, 7641, 427, 1685, 2924, 3201, 4691, 6182, 7239, 7602, 779, 1847, 2946, 4041, 4530, 6164, 7168, 8245, 951, 1931, 2946, 3201, 4592, 5650, 6852, 7383, 951, 1782, 2429, 4085, 4764, 5565, 6880, 7279, 678, 1858, 2783, 4027, 5080, 6175, 6540, 7658, 779, 2068, 2746, 3355, 4670, 5767, 7207, 7570, 940, 1171, 2946, 3884, 4795, 6146, 6820, 7677, 103, 1175, 2629, 3376, 5088, 6024, 6755, 7260, 940, 1832, 2156, 3639, 4276, 5515, 6991, 7721, 1051, 1794, 2943, 3865, 4774, 6170, 7239, 7312, 1051, 2111, 2629, 3764, 5167, 5413, 6402, 7948, 308, 1175, 2144, 3226, 4186, 5219, 6515, 7494, 684, 2107, 2838, 4011, 5083, 6129, 7232, 7303, 228, 1508, 2554, 3674, 5183, 5548, 6486, 8260, 228, 2111, 2340, 3674, 5115, 5276, 7129, 7749, 228, 2111, 2473, 4166, 4877, 5296, 7024, 7677, 518, 2127, 2725, 3564, 4297, 6001, 6757, 8100, 518, 2111, 2172, 3595, 5079, 5678, 6579, 7570, 228, 2108, 2833, 3595, 4737, 5942, 7090, 7865, 228, 1789, 2725, 4096, 4240, 5892, 6291, 8266, 256, 1750, 3064, 3366, 5007, 5677, 6996, 7563, 256, 1756, 2554, 3891, 5168, 5767, 6584, 8261, 419, 1468, 2833, 3595, 4522, 5730, 6810, 7477, 555, 1684, 2729, 3376, 4877, 5935, 7090, 8261, 4, 2 ]

[ 1, 76, 33, 54, 5, 31, 39, 5, 11, 63, 5, 64, 39, 41, 16, 64, 66, 5, 11, 54, 5, 52, 14, 54, 30, 5, 66, 73, 5, 42, 14, 31, 35, 5, 53, 16, 66, 45, 63, 47, 16, 52, 78, 5, 5, 3, 488, 2111, 2858, 4006, 5159, 6211, 6515, 7717, 488, 2065, 3117, 3367, 4822, 6211, 7006, 7766, 142, 1528, 2914, 3825, 4624, 5241, 7124, 8196, 142, 1528, 2914, 3893, 4704, 6139, 7077, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 1099, 1851, 3110, 4068, 4589, 5705, 7124, 7570, 731, 1825, 2473, 3982, 5061, 5892, 7006, 7631, 1009, 1318, 2280, 3965, 4591, 6039, 6458, 8064, 1080, 1682, 2409, 3263, 4440, 6056, 6548, 7738, 632, 1730, 2644, 3254, 4536, 5961, 6710, 7884, 632, 1828, 2888, 3875, 4756, 6135, 6278, 7533, 1024, 1326, 2890, 3840, 4338, 5725, 6875, 7852, 216, 1463, 2340, 3605, 5159, 5968, 6426, 7311, 731, 2095, 2349, 3752, 4883, 5506, 6542, 7410, 767, 1828, 2940, 3565, 4304, 5907, 6670, 7965, 335, 1972, 2282, 3953, 5109, 5953, 6932, 7490, 767, 1992, 2436, 3710, 4861, 5344, 6967, 7607, 678, 1563, 2868, 3271, 5193, 6040, 6829, 7971, 304, 2001, 2163, 3795, 4780, 5610, 6633, 8214, 1101, 1828, 2920, 4136, 4546, 5765, 6663, 7349, 363, 1693, 2225, 4085, 5128, 5300, 6493, 8061, 1017, 2066, 2271, 3967, 4521, 6172, 6941, 7580, 1017, 2081, 2487, 3313, 5092, 6154, 6905, 7997, 893, 1673, 2725, 3580, 4697, 6122, 7059, 7365, 465, 1842, 2137, 4084, 4804, 5350, 6896, 7976, 884, 1282, 3017, 3356, 4321, 5404, 6295, 7549, 918, 1561, 2690, 3443, 4395, 6135, 6592, 8090, 693, 1472, 2655, 3743, 5097, 5544, 6478, 7604, 893, 1526, 2807, 3368, 4664, 5843, 6630, 8140, 840, 1900, 2424, 3795, 4543, 6096, 6281, 7694, 472, 1924, 2751, 3197, 4857, 5852, 6919, 8165, 296, 1682, 2146, 3708, 4234, 5999, 6325, 7456, 192, 1682, 2487, 4054, 5199, 5621, 7079, 7420, 296, 1407, 2300, 3770, 4668, 6113, 6389, 7535, 192, 1302, 2896, 3218, 4234, 5310, 7135, 7640, 893, 1151, 2346, 3512, 4510, 5822, 6522, 8033, 887, 1468, 2612, 3193, 4467, 5671, 6831, 7559, 887, 1301, 2643, 3596, 4218, 5485, 6725, 8134, 373, 1509, 2556, 3596, 5083, 6025, 6283, 7255, 390, 1700, 2163, 3188, 5130, 5404, 6840, 8154, 171, 1747, 3112, 3550, 4502, 5689, 6771, 7764, 568, 2020, 3128, 3239, 4541, 6133, 6340, 8137, 699, 1597, 2497, 3592, 4918, 5581, 6701, 7524, 654, 2106, 3002, 4003, 4801, 5844, 6752, 7754, 654, 2106, 3002, 4003, 4983, 6182, 6717, 8080, 518, 1304, 2542, 3891, 5060, 6175, 7232, 7602, 518, 1396, 2554, 4025, 4859, 5514, 6584, 7476, 518, 2065, 2562, 3227, 4844, 6086, 6291, 7563, 518, 1597, 2875, 3227, 5138, 5550, 6486, 7691, 654, 1826, 2473, 3376, 4681, 5548, 6515, 7906, 518, 1923, 2775, 3417, 4859, 5364, 6809, 7476, 256, 2111, 2970, 3933, 4192, 5942, 6612, 7781, 552, 1345, 2771, 4098, 5127, 5677, 6889, 8126, 716, 1564, 2903, 3939, 4179, 5624, 6617, 8085, 632, 1385, 2312, 3894, 4539, 5248, 6529, 8105, 969, 1550, 2249, 4132, 4910, 5224, 6286, 7411, 668, 1782, 2610, 3293, 4946, 5364, 6327, 7271, 582, 1621, 2282, 4003, 4823, 5863, 6659, 7978, 986, 1858, 2829, 4130, 4983, 5465, 7004, 7597, 582, 1763, 2750, 3631, 4421, 5610, 6256, 7303, 940, 1794, 2659, 3932, 4720, 5802, 7239, 8083, 256, 1407, 2610, 3350, 4513, 5219, 6895, 7602, 804, 1851, 2167, 4111, 4622, 5573, 7132, 8061, 617, 2030, 2163, 3886, 4912, 5386, 6760, 8245, 256, 1320, 2473, 3994, 5088, 5827, 6830, 7476, 901, 2098, 3109, 4115, 4398, 5705, 6901, 8194, 878, 1108, 2468, 4155, 4179, 6195, 6748, 7693, 757, 1596, 2792, 4113, 5079, 5385, 6740, 7313, 779, 2111, 2678, 3754, 4925, 5318, 6864, 7557, 204, 2019, 2332, 4159, 4753, 6146, 6614, 7899, 843, 1695, 2271, 3954, 4467, 5216, 6371, 7983, 692, 2007, 2725, 3508, 4716, 6122, 6546, 8154, 938, 2034, 2593, 3309, 4829, 5350, 6263, 8182, 970, 1688, 2380, 4047, 4912, 6025, 6677, 8061, 513, 1306, 2854, 4106, 4387, 6145, 7070, 8031, 225, 1340, 3006, 3855, 4307, 5809, 7010, 7849, 195, 2067, 3062, 3407, 4706, 6171, 7232, 7727, 654, 2030, 2370, 3588, 5083, 5643, 7169, 7855, 518, 1750, 2156, 3188, 4918, 5493, 7152, 7865, 789, 2127, 2473, 3407, 5079, 5210, 7207, 7664, 789, 1851, 3095, 3188, 4638, 5981, 6291, 7706, 789, 1853, 2941, 3407, 4512, 5493, 6612, 8061, 518, 1304, 3133, 4026, 5157, 5678, 6889, 7557, 568, 1826, 2659, 3726, 4712, 5466, 6520, 7498, 684, 1490, 2854, 3570, 4862, 5982, 6453, 7707, 676, 1199, 2633, 4082, 4319, 5204, 6683, 7288, 472, 1503, 3037, 3233, 4338, 6109, 6952, 7482, 673, 1682, 2721, 3249, 4455, 5803, 6426, 7790, 363, 2043, 2849, 3326, 4547, 6010, 6592, 8033, 465, 2050, 2579, 3814, 4776, 5786, 7245, 8168, 761, 2050, 2495, 4081, 5151, 5803, 7109, 8269, 761, 1974, 3040, 3847, 4332, 6156, 7140, 8020, 1101, 2035, 2506, 4017, 4755, 5646, 7115, 7367, 803, 1440, 2623, 3501, 4364, 6021, 6626, 8191, 993, 1345, 3085, 4044, 4364, 5315, 6916, 7765, 893, 1914, 2876, 3934, 4420, 5350, 6805, 7983, 1033, 1708, 2659, 3170, 4343, 5600, 6830, 7978, 887, 1306, 2610, 3233, 4533, 5344, 6734, 7706, 504, 1797, 2167, 3748, 4179, 5953, 6710, 8164, 1025, 1982, 3092, 3271, 5091, 5223, 6771, 7383, 643, 1682, 2506, 3955, 4966, 5663, 6762, 7631, 896, 1633, 2887, 3663, 4807, 5262, 6749, 7457, 1025, 1183, 2623, 3884, 5091, 5425, 6983, 7678, 784, 1440, 2956, 3934, 4978, 5711, 7229, 8189, 299, 1440, 2274, 3600, 5124, 6002, 7234, 7693, 504, 2061, 2748, 3345, 4348, 6046, 6348, 7774, 1029, 1682, 3011, 3769, 4321, 5223, 7101, 7416, 536, 2044, 2519, 3700, 4327, 6010, 7234, 7873, 428, 2033, 2491, 4046, 4475, 6010, 6592, 8011, 1050, 1199, 2595, 3787, 4518, 5810, 6255, 8133, 310, 1682, 3034, 3587, 4982, 5606, 6438, 7883, 584, 1605, 2274, 3421, 4293, 5526, 6340, 8149, 310, 1828, 2873, 3964, 4845, 6184, 6295, 7740, 810, 1700, 2951, 3222, 5030, 6125, 6896, 7518, 581, 1707, 2953, 3370, 4299, 5533, 6858, 8104, 845, 1390, 2487, 3181, 4364, 5341, 6680, 7746, 884, 1325, 2953, 3225, 4364, 5583, 6910, 7928, 881, 1226, 2487, 3745, 5147, 6086, 6455, 7630, 995, 1184, 3147, 3394, 4459, 5869, 6598, 7883, 995, 1653, 2465, 4125, 4835, 6184, 6425, 8001, 320, 1139, 3011, 3815, 4459, 5575, 7161, 8189, 326, 1656, 3058, 3441, 5072, 6086, 6476, 7622, 880, 1252, 2195, 4137, 4459, 6194, 7122, 7793, 1052, 1656, 3058, 3239, 5171, 5735, 6474, 8143, 569, 1252, 2626, 4025, 4356, 6184, 6768, 7375, 645, 1944, 2436, 3771, 4690, 5202, 7187, 7756, 1025, 1139, 2602, 3410, 4765, 6016, 6612, 7972, 1035, 1156, 2750, 3832, 4663, 5765, 7128, 7640, 887, 1831, 2924, 3231, 4226, 5664, 6893, 7524, 104, 1728, 2678, 3410, 4686, 5436, 7063, 7876, 1025, 1350, 2750, 3259, 4426, 5550, 6566, 8049, 778, 1797, 2750, 3265, 5073, 6002, 6755, 7911, 887, 1827, 2980, 3771, 4834, 5673, 7004, 7336, 1090, 1139, 3144, 3771, 4635, 5368, 6980, 8164, 610, 1809, 3033, 4011, 4536, 6063, 6774, 8266, 1090, 1363, 2798, 3962, 5100, 5783, 6830, 7968, 1101, 1490, 3124, 3309, 4282, 5352, 6354, 8038, 964, 1496, 2246, 4007, 5023, 5839, 7140, 7889, 683, 1714, 2271, 3572, 4310, 6086, 6651, 7400, 774, 2006, 2498, 4128, 4927, 5341, 7208, 7779, 1041, 1821, 2581, 3623, 5074, 5932, 6963, 7925, 1099, 1475, 2593, 4113, 4206, 5594, 6242, 8194, 935, 1175, 2970, 3973, 4338, 5893, 6584, 8109, 984, 1620, 2754, 3891, 5101, 5216, 6584, 8066, 935, 2111, 3064, 3982, 4861, 5694, 7132, 8076, 552, 1998, 3064, 4114, 4888, 5705, 6810, 8083, 356, 2127, 2560, 4018, 5130, 5767, 7168, 7806, 555, 1974, 3021, 3550, 5079, 5963, 6752, 7723, 915, 1974, 2554, 3407, 4870, 5963, 6996, 7476, 142, 1528, 2914, 3825, 4859, 5963, 7124, 8147, 860, 1528, 2806, 3825, 4624, 5892, 6794, 8147, 488, 2017, 2914, 3893, 4624, 6139, 6794, 7766, 488, 1528, 2914, 3893, 4624, 5635, 7077, 8267, 757, 1320, 2729, 3994, 4387, 5241, 7023, 7485, 276, 1695, 2992, 3795, 5152, 5386, 7223, 7927, 617, 1304, 2151, 4168, 4896, 5963, 6809, 7480, 1033, 2109, 3053, 3987, 4541, 6067, 6284, 7483, 166, 2067, 2310, 3922, 4566, 5629, 6813, 7698, 117, 1826, 2158, 3236, 4509, 5632, 7079, 7581, 299, 1157, 2225, 3798, 4785, 5398, 6494, 7955, 887, 1255, 3069, 4073, 4337, 5778, 6269, 7767, 684, 1407, 3108, 3975, 4970, 5663, 6938, 7677, 288, 1280, 2783, 3645, 5080, 5534, 6996, 7383, 804, 1747, 2991, 3201, 4551, 5210, 7006, 7677, 308, 2046, 2991, 4114, 4859, 5765, 6668, 8066, 804, 2046, 2960, 4145, 5104, 5515, 6709, 8185, 143, 1668, 3000, 4096, 4224, 5761, 6749, 7838, 886, 1577, 2181, 3711, 4225, 6084, 6966, 8092, 504, 1692, 3018, 4000, 4720, 6155, 6933, 8082, 399, 1882, 3018, 3421, 4459, 5538, 6530, 7678, 161, 2055, 2751, 3935, 5151, 5656, 7043, 7955, 810, 1738, 2751, 4015, 4953, 5745, 6611, 7604, 407, 1347, 2520, 3214, 4637, 5223, 7043, 8256, 326, 1728, 2724, 3623, 4437, 5533, 6411, 8050, 803, 1171, 2307, 4015, 4914, 5696, 6984, 7640, 407, 1171, 2445, 4037, 4539, 5222, 6225, 7879, 693, 1350, 2953, 4037, 5087, 5742, 7240, 7361, 1056, 2086, 3006, 3795, 4387, 5603, 6385, 7827, 899, 2041, 2307, 3827, 5115, 5706, 6809, 7563, 1015, 1963, 2641, 3885, 4898, 5844, 6458, 7965, 811, 1751, 3130, 3951, 4993, 6018, 7160, 7709, 923, 1238, 3048, 3790, 4340, 6002, 6612, 8041, 137, 1171, 3137, 3637, 4364, 6019, 6900, 7868, 862, 2033, 3137, 3865, 4679, 5733, 6735, 7862, 536, 1682, 2785, 3885, 4539, 5658, 6521, 7966, 641, 1897, 2330, 3427, 4576, 5606, 6290, 7473, 610, 1692, 2895, 3427, 5012, 6147, 7069, 7643, 150, 2053, 2429, 3866, 5175, 5958, 7149, 7624, 887, 2053, 3095, 3516, 5088, 6007, 7193, 7381, 104, 1827, 2429, 3566, 4881, 5600, 7100, 7379, 936, 2088, 2688, 3960, 4307, 5941, 7055, 7626, 536, 1490, 3034, 3245, 4603, 5620, 6311, 8039, 536, 2118, 2744, 4102, 4835, 5515, 7096, 7515, 536, 2118, 2401, 3448, 4735, 5745, 6478, 8043, 715, 1932, 3026, 3951, 4494, 5768, 6755, 7862, 818, 2046, 3135, 3407, 4467, 6001, 7010, 8195, 935, 1620, 3135, 3891, 5038, 5210, 7084, 8147, 186, 2111, 2991, 3440, 4287, 6063, 6786, 7421, 878, 1998, 3042, 3726, 4993, 5650, 6884, 7609, 824, 1985, 3059, 3754, 5160, 5446, 7085, 7591, 225, 1112, 2761, 4111, 4983, 6157, 7223, 8030, 118, 1345, 2328, 3518, 4267, 5534, 6296, 7643, 356, 1332, 2138, 3866, 5080, 6110, 6895, 8016, 955, 1116, 3143, 3909, 4267, 5503, 7098, 7421, 319, 1834, 2695, 3969, 4804, 5608, 6855, 7361, 443, 1510, 2751, 4147, 5113, 6013, 6385, 7828, 443, 1570, 2751, 4147, 4522, 5529, 6563, 7828, 806, 1614, 2751, 3812, 4708, 5827, 6948, 7904, 807, 1139, 3018, 3341, 4285, 5824, 6929, 7279, 668, 1821, 2289, 4025, 4509, 5918, 6265, 7537, 692, 1171, 2378, 3179, 4565, 5273, 7181, 7350, 938, 1758, 2251, 3434, 5124, 6002, 6569, 7970, 938, 1758, 2455, 3776, 4362, 5503, 6834, 7688, 386, 1924, 2848, 3792, 4371, 6012, 7017, 8236, 1024, 1736, 2268, 3870, 5111, 5610, 6934, 7438, 1056, 2091, 3026, 4153, 4345, 5276, 7232, 8076, 678, 1918, 2629, 4153, 4351, 5597, 6918, 8030, 1011, 1510, 2779, 3300, 4740, 5976, 7019, 7435, 940, 1139, 2536, 4159, 5134, 5503, 7063, 8213, 103, 1794, 2943, 3340, 5134, 5577, 6668, 7279, 715, 2090, 3018, 3695, 5134, 5624, 7149, 7749, 715, 1808, 2669, 3375, 4985, 5811, 6422, 7806, 639, 1323, 3017, 3424, 4849, 5212, 7223, 7796, 996, 2059, 2543, 3262, 4523, 5836, 7024, 8240, 938, 1706, 3055, 3298, 4717, 5379, 6860, 8253, 938, 1596, 2346, 3660, 4214, 5990, 6614, 7366, 938, 1490, 2695, 3770, 4224, 5574, 6368, 7913, 938, 1706, 2860, 4017, 4546, 5840, 6411, 7542, 1011, 1199, 2719, 3179, 4833, 5443, 6824, 7583, 938, 1199, 2732, 3995, 4834, 5900, 7118, 7828, 970, 1898, 2718, 3960, 4835, 5731, 7050, 8149, 970, 1833, 2175, 4115, 4664, 5671, 6476, 8188, 970, 1205, 2352, 3433, 4399, 5322, 6361, 8012, 427, 1943, 2944, 3753, 5145, 5315, 7237, 7735, 678, 1490, 2868, 3915, 4455, 5527, 6476, 7867, 1091, 1557, 2868, 3986, 4665, 5610, 6678, 7397, 171, 1706, 3026, 4067, 5019, 5713, 6738, 8163, 1056, 1596, 2946, 3592, 4278, 5602, 6949, 7336, 228, 2059, 2359, 3880, 4681, 5605, 6476, 7546, 228, 1586, 2137, 3648, 4904, 5276, 6844, 7707, 518, 1826, 3133, 3857, 4775, 6157, 6604, 7605, 228, 2034, 2791, 3376, 5048, 6062, 6671, 8164, 228, 2002, 2729, 3586, 4344, 5504, 6612, 8118, 543, 1468, 2251, 3838, 5135, 5840, 6671, 7555, 543, 1468, 2792, 3933, 5079, 5938, 7160, 7965, 186, 2111, 2554, 3891, 5135, 5438, 6889, 7485, 186, 2111, 2806, 3391, 4890, 5677, 7120, 7723, 488, 1648, 2554, 3595, 5166, 5892, 7006, 8147, 488, 1528, 3117, 3367, 4624, 6139, 7077, 8196, 488, 1622, 2806, 3893, 4624, 6139, 6794, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 26, 5, 14, 53, 5, 54, 23, 5, 76, 36, 51, 44, 55, 5, 11, 54, 5, 16, 5, 53, 33, 67, 16, 30, 5, 17, 75, 5, 54, 73, 66, 63, 16, 52, 27, 78, 44, 55, 5, 45, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2164, 3893, 4624, 5635, 7124, 8196, 555, 2111, 2970, 3367, 4583, 5635, 7077, 8223, 555, 1623, 2316, 3891, 4387, 5892, 6604, 7927, 552, 1140, 2542, 4083, 4215, 6149, 7207, 7767, 403, 1388, 3128, 4137, 5012, 5704, 6734, 8262, 1071, 1346, 2694, 4137, 4191, 6028, 6864, 8028, 750, 2079, 2750, 3191, 5080, 5653, 7012, 7537, 1025, 1952, 2716, 4117, 4501, 6113, 6828, 8156, 752, 1881, 2348, 3778, 5088, 6128, 7160, 7941, 913, 2107, 2678, 3917, 5129, 6084, 6649, 8126, 831, 1827, 2429, 3756, 4318, 6178, 6401, 8239, 995, 1828, 2532, 3169, 4282, 6142, 6860, 7470, 1036, 1426, 2146, 3611, 4827, 5564, 6735, 8045, 313, 1931, 2430, 3880, 5188, 5295, 6799, 7650, 810, 1704, 2693, 3161, 4805, 5315, 6963, 7721, 428, 1171, 3116, 4173, 4972, 5588, 6269, 7722, 662, 1656, 2187, 4137, 5117, 5973, 6563, 7827, 103, 2120, 2151, 4015, 4422, 5276, 6458, 7329, 326, 2100, 2449, 4015, 5188, 6061, 6364, 8205, 1036, 1526, 2655, 4015, 5188, 5208, 6346, 7800, 995, 1931, 2751, 4137, 4660, 5212, 6421, 7474, 996, 1942, 2726, 3601, 4644, 6024, 6977, 8027, 247, 1806, 2688, 3295, 4364, 6119, 6676, 7702, 809, 1665, 2258, 3605, 4539, 5794, 6894, 8143, 569, 1154, 2346, 3453, 5137, 5588, 7131, 7642, 961, 1747, 2805, 3892, 4855, 5621, 6311, 8044, 1035, 1915, 2436, 3452, 5067, 5641, 6908, 7657, 150, 1141, 2456, 3802, 4993, 6028, 7244, 7920, 104, 1717, 3080, 3822, 4484, 5442, 6234, 7862, 850, 1676, 2678, 3991, 4456, 5930, 6646, 7607, 826, 1676, 2429, 3380, 4896, 5486, 6710, 8245, 1071, 2036, 2693, 3910, 5020, 5280, 6979, 7542, 104, 1918, 2139, 3383, 4513, 5413, 7244, 7262, 1025, 1821, 2750, 3840, 5009, 5611, 7051, 7535, 150, 1878, 2710, 3878, 5169, 5610, 6765, 7889, 584, 1938, 2555, 3511, 4723, 5566, 6325, 7261, 310, 1938, 2149, 3483, 4702, 6010, 6742, 7913, 1077, 1664, 2748, 3763, 5128, 5914, 6348, 7614, 310, 1499, 3040, 3660, 4321, 5643, 7004, 7921, 840, 1183, 2882, 3691, 4246, 6002, 6542, 7889, 840, 1183, 2882, 3497, 4246, 5512, 6518, 7928, 1067, 1183, 2623, 4137, 5036, 5408, 6792, 7739, 271, 1823, 2691, 3276, 5126, 5618, 6615, 7265, 150, 1469, 2963, 3983, 4959, 6141, 7016, 7702, 504, 1290, 2687, 3712, 5092, 6221, 7144, 8166, 610, 1166, 2357, 3492, 4868, 5606, 6920, 7752, 610, 2048, 2519, 3466, 5130, 5570, 7120, 8121, 304, 1275, 2820, 3853, 4792, 5622, 7166, 7476, 663, 1350, 2556, 4112, 4782, 6211, 6774, 7355, 424, 1931, 2577, 3206, 5003, 5788, 6657, 8245, 776, 1146, 3032, 4146, 4191, 5305, 6967, 7703, 1016, 1238, 2690, 3667, 4215, 5314, 6685, 7279, 150, 1726, 3072, 4088, 5070, 6085, 6935, 7669, 895, 1478, 2236, 4003, 4803, 5272, 6611, 7941, 1008, 1494, 2864, 3162, 5026, 5656, 6718, 8211, 271, 1351, 2214, 4153, 4495, 6083, 6461, 7484, 1005, 1494, 2540, 3653, 5017, 5841, 6520, 7473, 844, 1758, 2736, 3530, 5020, 5457, 6251, 8165, 390, 1886, 2564, 4076, 4278, 5968, 7059, 7813, 308, 2002, 3008, 3540, 5007, 6149, 7010, 7887, 419, 1345, 3006, 3671, 4521, 6149, 7157, 7480, 105, 1791, 2801, 3550, 4859, 5678, 6579, 7664, 317, 1874, 2701, 3631, 4946, 6175, 7114, 7466, 757, 2068, 2181, 3430, 4374, 5509, 7118, 7303, 401, 1869, 2142, 4068, 4538, 5538, 6762, 7887, 271, 1668, 3061, 4096, 4417, 6180, 7091, 7590, 150, 1561, 2995, 3687, 4451, 5532, 6719, 7480, 1025, 1876, 3126, 3601, 4954, 5443, 6287, 7789, 1025, 1593, 2436, 3764, 4635, 5713, 6875, 7822, 1025, 1238, 3020, 3968, 4931, 5783, 7137, 7576, 650, 1472, 2387, 3372, 4706, 5250, 7098, 7687, 881, 2048, 2595, 3261, 5084, 5875, 7041, 7930, 465, 1946, 2953, 3897, 4364, 6086, 7148, 7820, 895, 1490, 2869, 4112, 4223, 5810, 7046, 7985, 895, 1346, 2680, 3745, 5195, 5769, 6632, 7759, 271, 1226, 2728, 3648, 4539, 6128, 7179, 7587, 271, 1309, 2728, 3623, 4396, 5884, 7156, 7362, 1025, 1796, 3112, 4146, 4801, 5527, 6710, 7904, 1025, 1797, 2994, 3917, 4936, 6181, 6478, 7992, 1025, 1499, 3092, 3233, 4179, 5703, 6869, 7593, 1067, 1141, 2261, 3929, 5164, 6088, 6438, 7947, 840, 1248, 2129, 3529, 4855, 6002, 6816, 7480, 404, 1509, 2751, 3390, 4356, 5880, 6614, 8234, 536, 1918, 2265, 3504, 4881, 6004, 6463, 7518, 1025, 1745, 2357, 3679, 5067, 6171, 7049, 7535, 610, 1238, 2440, 3231, 4287, 5753, 6725, 7584, 887, 1978, 2564, 3840, 4780, 5818, 7055, 7677, 850, 1797, 2610, 3293, 4993, 5687, 6884, 7376, 160, 2009, 2436, 3840, 4935, 5586, 6298, 7528, 778, 1797, 2429, 3540, 4764, 5908, 6792, 8006, 1077, 1770, 2915, 3741, 5052, 5300, 7185, 7645, 326, 1826, 2509, 3191, 4494, 6188, 6458, 7881, 492, 2118, 3034, 3394, 4274, 5787, 6598, 8104, 326, 1728, 2626, 3615, 4236, 5870, 6304, 7862, 113, 2118, 3040, 4087, 5093, 6086, 6663, 7817, 211, 1110, 2641, 3356, 5101, 5797, 6244, 7965, 510, 1376, 2941, 4041, 4247, 5727, 6265, 7664, 440, 1597, 2673, 3470, 5080, 6040, 6829, 7876, 901, 2030, 2880, 3616, 4344, 6129, 6740, 7865, 878, 2030, 2959, 3563, 5143, 5413, 6376, 7549, 518, 1998, 2468, 3518, 5120, 5413, 6453, 7868, 555, 1528, 2554, 3891, 5088, 5677, 7069, 7949, 684, 1620, 3144, 3788, 4617, 6182, 6338, 7908, 731, 1315, 2869, 3891, 5088, 5521, 6901, 7311, 728, 1826, 3126, 3941, 5000, 5745, 7200, 7689, 1062, 1507, 2642, 4102, 4925, 6062, 6768, 8173, 1062, 1932, 2429, 4006, 4467, 5884, 6715, 7867, 955, 1703, 2839, 3395, 4426, 5485, 6709, 7905, 1062, 1681, 2710, 3788, 4285, 5407, 6702, 7259, 492, 1555, 2186, 4128, 4525, 6196, 6436, 7756, 536, 1507, 3003, 4017, 4606, 5220, 6764, 8015, 840, 1299, 3033, 3326, 4739, 5714, 6670, 7881, 1056, 1318, 3092, 3987, 4948, 5824, 6302, 8193, 512, 1675, 2661, 4068, 4538, 5687, 7084, 7732, 401, 1692, 3150, 4030, 5088, 5713, 7152, 8195, 610, 1797, 3098, 3732, 4980, 6195, 7132, 8085, 160, 1915, 2750, 3917, 4589, 5579, 6655, 7664, 610, 2055, 3053, 4098, 4765, 6014, 6832, 8209, 778, 1755, 2780, 3634, 4700, 6073, 6536, 7574, 104, 1227, 2254, 4115, 4670, 6128, 6702, 7393, 1025, 1716, 2166, 3530, 4543, 5413, 7019, 7856, 986, 1553, 2136, 3338, 4382, 6154, 7229, 8189, 807, 1118, 3116, 3314, 5020, 5574, 6820, 7702, 936, 1550, 2874, 3714, 4350, 5706, 7044, 7513, 993, 1806, 2736, 3159, 4330, 5615, 6224, 7873, 993, 1806, 2910, 3707, 4962, 5828, 6224, 7677, 1025, 2055, 3091, 3832, 5124, 5507, 7157, 7996, 610, 2002, 2282, 3964, 4321, 6119, 6919, 7809, 424, 2002, 2156, 3496, 4308, 5512, 6619, 8067, 1090, 1918, 2156, 3859, 5106, 5514, 6979, 8075, 552, 1924, 2792, 3994, 4521, 5901, 7230, 7664, 818, 2041, 3135, 4011, 5115, 5635, 6972, 8260, 510, 1620, 3135, 4071, 4980, 6051, 6972, 7876, 272, 1386, 2625, 3585, 4493, 5694, 6913, 7530, 568, 1689, 2454, 3474, 5130, 6117, 6986, 7976, 541, 1488, 2542, 3612, 4635, 5259, 6856, 7631, 579, 1141, 2860, 3364, 5080, 5963, 6463, 7770, 132, 1157, 2895, 3662, 4630, 5433, 6749, 7751, 132, 1620, 2154, 3970, 5051, 5684, 7207, 7602, 223, 1831, 3141, 3826, 4423, 5911, 6901, 7810, 803, 1393, 2533, 4165, 4942, 6218, 6437, 8178, 993, 2070, 2220, 4126, 5144, 5730, 6725, 7367, 487, 1393, 2349, 3372, 4545, 5491, 6293, 7684, 465, 1838, 2678, 3427, 4855, 5700, 6478, 7367, 271, 1633, 2369, 3727, 4987, 5321, 6820, 7482, 424, 1926, 2515, 3648, 4501, 5737, 6999, 7262, 952, 1146, 2137, 3239, 4522, 5553, 6247, 8247, 693, 2050, 2555, 3991, 4595, 5447, 6769, 7861, 900, 1499, 2892, 3295, 4509, 5507, 6348, 8216, 493, 1919, 2751, 3385, 4889, 5783, 6378, 8169, 692, 1145, 3074, 3479, 5198, 5441, 7199, 7501, 862, 1615, 3074, 4009, 4590, 5632, 7212, 7576, 212, 2091, 2636, 3690, 4459, 5325, 6335, 8128, 668, 1742, 2751, 3940, 4319, 5879, 6571, 7405, 1036, 1424, 2532, 3745, 4474, 5295, 7063, 7527, 692, 1510, 2516, 3319, 4364, 6059, 6409, 7842, 844, 1732, 2710, 3967, 4321, 5455, 6634, 7737, 459, 1422, 2762, 3485, 4532, 6119, 6224, 7648, 650, 1834, 2210, 3446, 4654, 5966, 6663, 7271, 390, 1566, 2327, 3605, 5163, 6063, 7035, 7643, 225, 1773, 2565, 3922, 4945, 6171, 6909, 8191, 654, 1349, 2506, 3970, 5020, 5625, 7048, 7384, 195, 1716, 3064, 3593, 5138, 5815, 6899, 7965, 317, 1945, 2725, 3889, 4651, 5580, 6465, 7664, 955, 1269, 2836, 3706, 5167, 6002, 7237, 7329, 650, 1397, 2688, 3681, 4529, 5413, 6651, 7494, 807, 1335, 2327, 4005, 5151, 5648, 7050, 7547, 1052, 1550, 2994, 3631, 4775, 5325, 7019, 7873, 115, 2070, 2751, 3340, 4351, 5443, 7191, 7777, 459, 1550, 2855, 4007, 4459, 6059, 6759, 7966, 1035, 1357, 2258, 3332, 5005, 5640, 7019, 8197, 545, 1770, 2692, 4080, 4364, 5981, 7175, 7657, 569, 1550, 2232, 3395, 4717, 5208, 6611, 7524, 668, 1550, 2520, 4007, 5151, 5651, 6254, 7524, 326, 1118, 2720, 3239, 4833, 5354, 6486, 7279, 862, 1968, 2327, 3562, 4927, 5640, 6364, 7488, 692, 1164, 2606, 3623, 5090, 5220, 6382, 7519, 776, 1832, 2692, 3603, 5137, 5313, 6517, 8052, 804, 2021, 2312, 3266, 4484, 5761, 6966, 7887, 1097, 1913, 2833, 3710, 4681, 5436, 6988, 7806, 568, 1992, 2721, 3227, 5053, 5276, 6702, 7842, 105, 1490, 2444, 3770, 4870, 5963, 7192, 8018, 818, 1248, 2833, 3391, 5120, 5630, 7132, 8147, 201, 1528, 3110, 3803, 4704, 6211, 6515, 7876, 488, 1528, 2806, 3803, 4888, 6081, 6752, 8223, 488, 1528, 3117, 3367, 4624, 6139, 7077, 7766, 488, 1528, 3117, 3367, 4624, 6186, 7077, 8223, 859, 1750, 2858, 4071, 4798, 5661, 6752, 7476, 555, 1876, 3110, 3827, 4512, 5219, 6809, 7806, 859, 1622, 2991, 3891, 4512, 6137, 6734, 7557, 859, 1750, 2833, 3710, 4512, 5963, 6996, 7876, 555, 1974, 2833, 3825, 5079, 5981, 6604, 8147, 555, 1623, 2833, 3374, 4681, 5515, 7090, 7717, 555, 1684, 2970, 3687, 4512, 5678, 6996, 8179, 555, 1648, 2858, 3827, 4798, 5385, 6752, 7563, 859, 2111, 2970, 4166, 4681, 5436, 6589, 7838, 555, 1345, 3065, 4068, 5160, 6189, 6515, 7664, 555, 1876, 2833, 3374, 4512, 5515, 7129, 7716, 555, 2111, 2554, 3374, 4583, 5241, 7077, 7766, 555, 2111, 2970, 3391, 4583, 5550, 6752, 8076, 555, 2111, 3021, 3374, 4583, 5515, 6988, 8076, 555, 1648, 2806, 3891, 4512, 5981, 6810, 8237, 555, 2111, 3021, 3391, 4387, 5550, 6752, 7723, 555, 2111, 3064, 3893, 4624, 6186, 6810, 8223, 555, 2111, 3021, 3825, 4512, 5635, 6996, 7485, 555, 1468, 2833, 3771, 5159, 5515, 7152, 8147, 555, 1468, 3021, 3891, 4387, 5767, 6604, 7643, 4, 2 ]