JamesXanda/barry-dataset-tokenized · Datasets at Hugging Face

input_ids sequencelengths 225 9.24k
[ 1, 43, 73, 5, 64, 33, 52, 30, 16, 53, 5, 43, 14, 30, 5, 33, 54, 47, 67, 46, 55, 5, 28, 17, 66, 5, 50, 26, 16, 54, 66, 64, 5, 5, 3, 488, 1468, 2833, 4174, 4387, 5219, 7124, 7664, 488, 1468, 2833, 3374, 5088, 5963, 7124, 7732, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7715, 142, 1528, 2914, 3825, 4704, 6139, 7226, 8196, 488, 1528, 2781, 3893, 4551, 5635, 6786, 8223, 132, 1648, 3128, 4006, 4366, 5892, 7207, 8076, 571, 1833, 2163, 3975, 4535, 6171, 7114, 8262, 204, 1717, 2655, 3649, 5092, 5639, 6717, 8085, 149, 1318, 2697, 3987, 4344, 5905, 6498, 8047, 948, 1234, 2407, 3475, 4407, 6102, 6816, 7899, 731, 1621, 2282, 3973, 5141, 6160, 7198, 7672, 223, 2091, 2282, 3915, 4543, 5565, 6273, 7501, 1033, 1566, 2867, 3946, 5164, 6110, 7033, 7865, 1025, 1826, 2555, 3159, 4344, 5840, 6812, 7743, 1102, 1171, 2728, 3298, 4807, 5308, 6426, 7900, 568, 1171, 2149, 3391, 4529, 5303, 6439, 8261, 225, 2060, 2188, 3533, 5077, 5446, 6632, 8107, 225, 2002, 2355, 4111, 5040, 5586, 6540, 7772, 225, 1736, 2180, 3799, 4638, 6189, 6798, 7664, 228, 1864, 2971, 3827, 4536, 5443, 6607, 7594, 654, 2002, 2359, 4132, 5135, 5218, 6313, 7831, 654, 1826, 2468, 3754, 5135, 6189, 6515, 7671, 654, 1826, 2468, 3838, 5135, 5590, 6338, 7462, 240, 1452, 2869, 4174, 4622, 6160, 6338, 8132, 240, 1468, 2554, 3555, 5128, 5548, 6752, 8126, 518, 1750, 2542, 3277, 4580, 5514, 7152, 8227, 654, 1300, 2468, 3754, 4775, 5957, 6835, 8198, 617, 1623, 2554, 3595, 5089, 6137, 7129, 7563, 223, 1918, 2271, 3796, 4764, 5433, 6593, 7336, 840, 1349, 2292, 3957, 4862, 5421, 6501, 8149, 1017, 1812, 2365, 3193, 4384, 5819, 6529, 8024, 1023, 1496, 2509, 3824, 4440, 5697, 6960, 7560, 862, 1149, 2953, 3466, 4466, 5828, 7140, 7395, 620, 1394, 2961, 3332, 4440, 5226, 6612, 7852, 1024, 1740, 2626, 3981, 4842, 5587, 6806, 7465, 547, 1305, 2173, 3785, 4536, 6077, 7212, 8000, 547, 1183, 2785, 4036, 4594, 5624, 6899, 7313, 970, 1843, 2274, 3692, 4761, 5624, 6366, 8104, 970, 2050, 2829, 3298, 4344, 5335, 6360, 7823, 504, 1740, 2937, 3748, 5151, 5796, 7104, 8052, 150, 1682, 2173, 4055, 4664, 5366, 6872, 7484, 643, 1248, 3085, 3950, 4675, 6125, 6467, 7679, 1081, 1248, 3053, 3679, 4870, 5548, 6426, 7859, 390, 2001, 2352, 4150, 4888, 5475, 7045, 7480, 1025, 1141, 3038, 4000, 4982, 5415, 7033, 7865, 386, 1828, 2422, 4010, 4319, 6043, 7002, 7695, 1023, 1828, 3036, 3892, 4894, 5583, 6999, 7475, 536, 1326, 2868, 4065, 4467, 6164, 7242, 7414, 887, 1227, 3033, 3727, 4575, 5573, 6959, 8261, 887, 1850, 2142, 3991, 4592, 5952, 6382, 8129, 104, 1773, 2740, 3605, 5022, 5538, 6734, 7468, 610, 1141, 2389, 3605, 4792, 6123, 7038, 7643, 1037, 1992, 2709, 3990, 5000, 5684, 7041, 8016, 1049, 2065, 2458, 3643, 4529, 6117, 6470, 7527, 952, 2065, 2238, 3578, 4719, 5955, 6529, 7991, 1052, 1665, 2987, 3454, 4389, 5955, 6984, 7248, 1040, 1349, 2873, 3493, 4716, 6178, 6638, 8033, 900, 2036, 2312, 4007, 5188, 5366, 7014, 8109, 774, 1296, 2365, 3370, 5188, 5346, 6889, 7527, 1041, 1821, 2464, 3319, 4364, 5578, 6921, 7670, 803, 1460, 2725, 4009, 4818, 5919, 6576, 7604, 1102, 1349, 3101, 3960, 5101, 5755, 6847, 7869, 804, 1791, 2581, 3671, 4276, 5797, 7111, 8070, 308, 1916, 3008, 3226, 4870, 5983, 6996, 8083, 984, 1684, 2947, 4115, 4630, 5610, 6283, 8237, 1059, 1695, 2341, 3568, 5120, 5792, 7004, 7537, 448, 1982, 2869, 3792, 4501, 5204, 6883, 7778, 886, 1721, 2355, 3225, 4552, 5874, 6476, 7773, 964, 1808, 3116, 3894, 4953, 5248, 7039, 7683, 1052, 1640, 2692, 3329, 5042, 5315, 7183, 8150, 319, 1553, 2715, 4000, 4913, 5610, 6623, 7885, 881, 1820, 3040, 4027, 4321, 5863, 6678, 7953, 993, 1695, 3037, 3329, 4330, 6177, 7131, 7549, 223, 1812, 2803, 3394, 4918, 5761, 6393, 7807, 970, 1234, 2392, 3917, 4942, 5339, 6830, 7535, 504, 1206, 2926, 3496, 4189, 5863, 7142, 7664, 1036, 1637, 2459, 4138, 4400, 5980, 7232, 7442, 668, 1834, 2994, 3182, 4195, 5633, 7056, 8248, 807, 1385, 2710, 3970, 4627, 5339, 7114, 7661, 1029, 1948, 2282, 3172, 5169, 5507, 7017, 7848, 887, 1942, 2659, 4096, 4621, 5742, 6768, 7929, 308, 1369, 3032, 3963, 5125, 6165, 7098, 7570, 475, 1963, 2947, 4085, 4822, 5436, 7017, 8260, 1097, 1175, 2356, 3516, 4980, 6103, 6443, 8188, 899, 1116, 2128, 3188, 4980, 5436, 6844, 8076, 708, 2111, 3086, 3657, 4949, 5767, 6574, 7476, 752, 1871, 3008, 3891, 4530, 5526, 6604, 8046, 936, 2118, 2672, 4030, 4455, 6067, 7219, 7890, 936, 1550, 2232, 3915, 4455, 5341, 7030, 7772, 936, 1550, 3145, 4162, 4604, 5476, 7067, 7629, 993, 1550, 2210, 3762, 4800, 5509, 7002, 7688, 826, 1858, 2258, 3937, 4189, 5978, 6574, 8213, 826, 1858, 2868, 3454, 5144, 6010, 7051, 8209, 826, 1141, 2436, 3253, 4592, 6070, 6908, 7508, 826, 1269, 2595, 3162, 5074, 5700, 6402, 7669, 831, 1244, 2210, 3941, 4426, 6146, 6728, 7839, 1025, 1370, 2944, 4124, 4777, 5947, 6707, 8070, 119, 1199, 2506, 3537, 4402, 5961, 6224, 8244, 723, 1596, 2850, 3864, 4595, 5757, 6819, 8169, 881, 1832, 2564, 3219, 4788, 5584, 6419, 7756, 356, 1806, 2318, 3904, 5127, 5823, 6715, 7986, 308, 1915, 2754, 4074, 4215, 5534, 6979, 7908, 804, 2063, 2996, 4071, 5166, 5661, 6988, 8083, 308, 1791, 2989, 3803, 4822, 6129, 7077, 7485, 571, 1945, 2970, 4174, 5159, 6103, 6786, 7723, 225, 1865, 2924, 3547, 4400, 6171, 6486, 7799, 225, 1577, 2718, 3234, 4707, 6048, 6858, 7753, 1020, 1820, 3033, 3500, 4877, 5837, 6443, 7367, 942, 1834, 2154, 3470, 4364, 6007, 6584, 8132, 1101, 2009, 2621, 4003, 4321, 5894, 7017, 7737, 123, 2009, 2156, 3434, 4902, 5228, 7041, 7435, 344, 1714, 2848, 3543, 5124, 5706, 6224, 7828, 835, 1828, 2847, 3493, 4238, 5367, 6446, 7905, 774, 1337, 3040, 3741, 4826, 5452, 6295, 8061, 1041, 1426, 2670, 4079, 4372, 6017, 7066, 7983, 492, 1679, 2642, 3835, 4943, 5608, 6419, 7918, 326, 1789, 2224, 3975, 4460, 5938, 6763, 7973, 363, 2100, 2953, 3676, 4621, 5875, 6998, 7911, 363, 1526, 2520, 4007, 4776, 6011, 6517, 7360, 465, 1593, 2151, 3973, 4455, 6002, 7072, 7955, 1040, 1806, 2327, 3187, 4321, 5452, 7043, 7529, 465, 2036, 2327, 3416, 4573, 6050, 6497, 8006, 992, 2036, 2656, 3192, 4678, 6002, 6373, 8073, 1062, 1653, 2232, 3616, 4684, 6067, 7224, 8214, 113, 1476, 2327, 3773, 4565, 5300, 6411, 7476, 1057, 2048, 2132, 3616, 4364, 6144, 6562, 7545, 150, 1510, 2888, 3282, 4417, 5810, 6715, 7948, 1090, 1510, 3089, 3811, 4440, 5483, 7162, 8135, 1025, 1494, 2357, 3671, 5100, 5797, 6539, 7363, 1025, 1671, 2312, 3543, 4374, 6014, 6493, 7878, 610, 1692, 2688, 3426, 4385, 5788, 7129, 7641, 424, 1306, 2750, 3540, 5192, 5901, 6677, 7887, 831, 1778, 2899, 4150, 4308, 5396, 7212, 7732, 756, 1821, 3133, 3746, 4918, 5781, 6874, 8078, 654, 1330, 3043, 3879, 4882, 5276, 6657, 7976, 518, 1570, 2554, 3798, 4337, 5903, 6889, 7421, 518, 1853, 2941, 3642, 4513, 5787, 7168, 8130, 518, 1707, 2904, 3838, 5061, 5433, 7129, 8130, 225, 1758, 3048, 4071, 4379, 5678, 6895, 8118, 518, 1252, 2970, 4149, 4638, 5892, 7082, 7806, 518, 2118, 2554, 4103, 4638, 5296, 6671, 8130, 518, 2061, 2775, 3648, 4344, 5436, 6756, 8213, 228, 2111, 2473, 3376, 4622, 5677, 6607, 7865, 228, 1345, 2904, 4096, 5079, 5413, 7082, 7563, 256, 2118, 2904, 3550, 5138, 5981, 7181, 8080, 105, 2061, 2271, 4071, 4344, 5548, 6724, 7715, 488, 2017, 2654, 3550, 4398, 5624, 6752, 8147, 488, 1961, 3117, 3914, 5166, 6081, 6889, 7723, 488, 1528, 3117, 3367, 5138, 5241, 7124, 7716, 555, 2111, 2164, 3595, 4780, 5219, 7077, 8076, 555, 1974, 3065, 3595, 5079, 5942, 6604, 7717, 105, 1736, 2839, 4168, 5135, 5580, 6709, 8080, 617, 1695, 2340, 3873, 4181, 5534, 6996, 8261, 617, 1695, 2340, 3367, 4549, 5981, 6486, 7563, 617, 1750, 2775, 3374, 4681, 6149, 6688, 7524, 617, 1468, 2775, 4153, 4555, 5580, 6988, 8080, 617, 1695, 2340, 3873, 4549, 5550, 6840, 7715, 105, 2106, 2941, 3911, 4423, 5935, 6677, 8080, 4, 2 ]
[ 1, 76, 33, 54, 5, 31, 16, 5, 51, 14, 29, 44, 55, 5, 17, 75, 5, 28, 36, 30, 78, 5, 76, 11, 78, 5, 16, 66, 33, 53, 62, 66, 16, 30, 5, 5, 3, 555, 1695, 2340, 3873, 4549, 6211, 6604, 8076, 859, 1695, 2340, 3803, 4549, 5241, 6996, 7766, 915, 2017, 2858, 3827, 4583, 5219, 6809, 7949, 488, 2111, 3117, 3367, 4681, 5534, 7124, 7766, 488, 1622, 2781, 3893, 4624, 5892, 6809, 7949, 488, 2032, 2806, 3893, 4583, 6139, 7077, 7485, 488, 2032, 2164, 4068, 4624, 6139, 6996, 8147, 818, 1844, 2806, 3367, 4366, 6211, 6794, 7723, 510, 1998, 2324, 3909, 4782, 5635, 7239, 7782, 204, 1581, 2990, 3973, 4670, 6120, 6373, 8251, 973, 2121, 2710, 3427, 4182, 5782, 6904, 7648, 1004, 1470, 2506, 3219, 4708, 5291, 6929, 8044, 918, 1494, 2564, 3171, 4897, 5810, 6234, 7944, 448, 2059, 2661, 3285, 5188, 5532, 7068, 7478, 761, 1393, 2436, 3937, 4244, 5955, 6485, 8034, 1029, 1773, 2492, 4096, 4536, 5927, 6974, 7765, 386, 1388, 3033, 4120, 4690, 6002, 6715, 7917, 1101, 1499, 2175, 3437, 4321, 5982, 6671, 7950, 528, 1557, 2346, 3745, 4274, 5526, 6626, 7277, 875, 1570, 2658, 4137, 5122, 5594, 6917, 7873, 896, 1397, 2314, 3548, 5142, 6089, 6803, 8050, 804, 1561, 2328, 3231, 4497, 5730, 6608, 7261, 488, 1845, 2729, 3201, 4346, 6005, 6750, 8236, 935, 1998, 2315, 4114, 5129, 5981, 6938, 8083, 288, 1700, 2730, 4145, 4925, 6195, 6776, 7664, 984, 1518, 2991, 3866, 4870, 5630, 7129, 8099, 143, 1286, 2746, 3564, 4622, 5875, 7090, 8261, 252, 1674, 3033, 3662, 4725, 5224, 6538, 8178, 878, 1674, 2138, 3456, 4918, 5852, 6412, 7799, 1071, 1937, 2775, 3273, 4929, 5911, 6224, 8061, 943, 1570, 3045, 3688, 4176, 5576, 6680, 8255, 723, 1348, 2453, 3688, 4351, 5455, 6550, 8167, 1023, 1960, 2676, 3329, 4866, 5851, 6626, 8137, 830, 2049, 3047, 3720, 4873, 5772, 6905, 8201, 249, 1552, 3030, 3936, 4567, 5773, 6586, 8258, 881, 1403, 3029, 3326, 5041, 6216, 6357, 7612, 356, 2093, 2348, 3602, 4387, 5795, 6408, 7785, 984, 2000, 2880, 3929, 4881, 5705, 6590, 8166, 337, 1998, 2210, 4028, 4762, 6175, 7157, 8208, 967, 1791, 2981, 4145, 4870, 6205, 7095, 7976, 225, 1752, 2469, 3550, 5150, 5874, 6284, 7957, 225, 1845, 2875, 3994, 4856, 5656, 6749, 8108, 225, 1564, 2944, 3470, 4215, 5296, 7090, 7706, 334, 1345, 2332, 3470, 4412, 6189, 7207, 7442, 118, 1345, 2190, 3363, 4983, 5220, 7013, 7279, 397, 1597, 2454, 3470, 5183, 5257, 7053, 7732, 731, 1623, 2187, 3470, 4589, 5474, 7219, 7939, 402, 1363, 3039, 3970, 5081, 5576, 6366, 7565, 314, 1388, 2872, 3395, 4321, 5449, 6762, 8157, 574, 1550, 2175, 3424, 4539, 5483, 6716, 7905, 1029, 1948, 2156, 3355, 4604, 5768, 7100, 7910, 150, 1685, 2561, 3892, 4308, 5298, 7212, 8080, 271, 1831, 2313, 3866, 4536, 5381, 6978, 7936, 540, 1637, 2298, 3454, 4282, 5441, 6414, 7717, 386, 1685, 2727, 4096, 4700, 5868, 7004, 7720, 781, 1812, 2595, 3475, 5124, 5603, 7198, 8047, 989, 2061, 2961, 4021, 4858, 5454, 6693, 7868, 989, 1826, 3103, 3286, 4831, 5311, 6592, 8150, 862, 1589, 3040, 3506, 4545, 5405, 6957, 7513, 610, 1723, 2366, 3668, 4334, 6138, 6540, 8034, 804, 1233, 2959, 3914, 4717, 5378, 7100, 7875, 304, 1777, 3143, 3582, 5129, 5684, 6810, 7776, 304, 2079, 2900, 3188, 4241, 5832, 6281, 7706, 304, 1534, 3095, 3999, 4287, 5802, 7019, 7677, 390, 2063, 3143, 3645, 4867, 5534, 7090, 7677, 512, 1675, 2960, 3918, 4589, 6085, 7239, 8083, 308, 1850, 2783, 4011, 4287, 6195, 7132, 7720, 308, 1791, 2924, 4171, 4888, 6014, 6996, 7876, 326, 1393, 2868, 4064, 5077, 5369, 6671, 7290, 113, 1655, 2716, 3307, 4214, 5643, 7158, 7811, 1023, 1555, 2207, 4038, 5066, 5344, 6658, 8259, 363, 2059, 2387, 4079, 4804, 6170, 6949, 7518, 723, 1209, 2564, 3456, 4864, 5457, 6344, 7954, 1023, 1299, 3104, 3513, 4298, 5222, 7128, 8032, 895, 2117, 2742, 3631, 4427, 5886, 6958, 7788, 875, 1771, 3091, 4073, 4459, 5236, 6391, 7693, 443, 1726, 2440, 3248, 4683, 5938, 6385, 7808, 344, 1930, 2440, 3623, 4401, 5524, 7115, 7581, 344, 1393, 3029, 4103, 4723, 6065, 6985, 8137, 992, 1250, 2564, 3837, 4204, 6053, 6419, 7814, 992, 1250, 2142, 3499, 4755, 6144, 6763, 7611, 344, 1930, 2142, 3885, 4401, 5918, 7064, 7318, 465, 1541, 2142, 3472, 4723, 5643, 6335, 8094, 465, 1171, 2142, 3956, 4679, 5828, 7017, 7904, 807, 1770, 2935, 3578, 4539, 5742, 6820, 7271, 1025, 1826, 2874, 4067, 4992, 5640, 6461, 8078, 1056, 2125, 2729, 3376, 4747, 5612, 7007, 7664, 308, 2063, 2989, 3680, 5061, 5216, 7085, 7677, 256, 2078, 2484, 3803, 4512, 5740, 6870, 8041, 225, 1887, 3101, 3391, 5073, 5514, 7182, 7533, 568, 2002, 2582, 3719, 5138, 5944, 6730, 7716, 153, 2059, 3032, 3951, 4756, 6211, 6591, 7612, 308, 1791, 2975, 4166, 5150, 5438, 7100, 7948, 1056, 1963, 2947, 3602, 4630, 6211, 6734, 8083, 610, 1873, 2381, 3710, 4328, 5684, 6958, 7631, 1084, 2036, 3108, 3954, 5027, 5694, 7207, 7918, 277, 1919, 2360, 3851, 5074, 5845, 7001, 7279, 113, 1704, 2175, 3650, 4433, 6031, 6702, 7607, 668, 1141, 2859, 3635, 4214, 5242, 6439, 7565, 1052, 2059, 2403, 3634, 4636, 5810, 6674, 7902, 115, 1596, 2429, 4076, 4730, 5325, 6712, 7737, 195, 1917, 3034, 4092, 4925, 5325, 6380, 7666, 195, 1424, 2961, 4096, 4642, 5845, 6414, 7572, 654, 1649, 3144, 3674, 4179, 5492, 6980, 7756, 901, 2125, 3052, 3917, 4717, 6006, 6938, 7707, 752, 2065, 2615, 3376, 4589, 5220, 6814, 7638, 492, 1708, 2486, 3245, 4360, 5773, 6651, 7772, 936, 2118, 2261, 3187, 4832, 5443, 6923, 8106, 876, 1296, 2867, 3723, 4604, 5870, 6609, 7669, 996, 1821, 3019, 3475, 4236, 5409, 6476, 8126, 789, 1978, 2573, 4078, 4834, 5503, 6958, 8187, 488, 2000, 2729, 3886, 4870, 5436, 7084, 7303, 935, 1856, 2803, 4145, 4215, 6123, 7090, 7717, 186, 2111, 2730, 4145, 4583, 6129, 7077, 8076, 617, 2064, 3135, 4026, 4918, 6063, 6809, 7631, 276, 2127, 2287, 3443, 4651, 5600, 7042, 7657, 225, 1684, 2971, 3987, 4792, 5586, 6338, 7904, 356, 1620, 2560, 3566, 4589, 5503, 6366, 8033, 319, 1869, 2239, 3413, 4321, 5549, 6912, 8254, 535, 1938, 2627, 3887, 5154, 5668, 6860, 7657, 535, 1820, 3018, 3421, 4368, 6116, 7166, 7727, 535, 1708, 3032, 3981, 4234, 6003, 6224, 7525, 535, 1796, 3103, 3904, 4297, 5300, 6348, 8045, 408, 1227, 2595, 4065, 5040, 5662, 7065, 8086, 663, 1867, 2440, 3538, 4343, 5573, 7207, 8213, 304, 1932, 2598, 3645, 4622, 5730, 7149, 7664, 390, 1881, 3128, 3516, 4622, 5761, 6709, 8179, 308, 1705, 2880, 3886, 4583, 5767, 6852, 8266, 804, 1635, 3008, 3901, 4861, 6175, 6972, 8260, 1097, 1876, 2947, 3916, 4782, 5893, 6972, 8076, 1097, 2000, 2949, 4145, 5038, 6211, 7152, 7723, 1099, 2000, 2947, 3710, 4366, 6129, 6786, 7949, 757, 1856, 2998, 4125, 4611, 5515, 6612, 7549, 756, 1265, 2210, 3827, 4392, 5220, 7157, 8061, 545, 1688, 2583, 3850, 4993, 5276, 7136, 7985, 936, 1695, 3033, 4007, 4728, 5903, 7160, 7426, 536, 1942, 2314, 3222, 5032, 6052, 7112, 7778, 536, 1706, 2621, 3610, 5183, 5512, 6283, 8262, 1062, 1726, 2656, 4080, 5009, 5288, 6812, 8081, 952, 1118, 2487, 3932, 4808, 5573, 6872, 7964, 103, 2048, 2365, 3424, 4555, 6109, 6814, 7777, 887, 1832, 2678, 3827, 4902, 5890, 6442, 7869, 663, 1695, 2313, 4174, 5088, 6222, 6251, 8064, 1097, 1508, 2746, 3914, 5080, 5534, 6677, 8076, 914, 1998, 2947, 3188, 5061, 5534, 7006, 7806, 915, 2046, 2167, 4108, 4704, 6146, 7084, 8185, 105, 1998, 2949, 3188, 4762, 5612, 7149, 7563, 105, 1623, 2332, 4006, 5083, 5811, 6979, 8179, 555, 1684, 2970, 3994, 5142, 5481, 6584, 8066, 488, 1856, 3064, 4071, 4387, 5210, 6996, 7806, 488, 2017, 2806, 3893, 4624, 5892, 7132, 8179, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7876, 488, 1622, 2806, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 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, 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, 64, 33, 75, 63, 16, 52, 5, 28, 14, 54, 30, 78, 5, 76, 35, 5, 62, 52, 39, 44, 55, 5, 5, 3, 543, 2127, 2282, 4121, 4486, 5801, 6547, 7916, 228, 1332, 2341, 4121, 4904, 5678, 7006, 8093, 654, 1424, 3084, 4064, 4622, 5548, 6821, 8083, 518, 1961, 3002, 3931, 4700, 5218, 6241, 8266, 518, 1684, 3084, 3798, 5012, 6119, 7163, 7706, 256, 1623, 3133, 4174, 4870, 5515, 7024, 7677, 335, 1370, 2282, 3900, 5190, 5616, 6256, 7773, 1023, 1411, 2487, 3298, 5125, 6217, 6697, 8038, 723, 1286, 2593, 3209, 4195, 6217, 7072, 7349, 635, 1557, 2491, 3733, 4973, 6135, 6292, 7827, 249, 1507, 2987, 3624, 4994, 5719, 6798, 7873, 458, 1762, 2452, 3892, 4205, 5305, 6225, 7442, 536, 1865, 2787, 3559, 4494, 5224, 6623, 7852, 1056, 1523, 2661, 3755, 4324, 5730, 6619, 7768, 833, 1523, 2542, 4026, 4781, 5870, 6871, 8068, 756, 2030, 2798, 3917, 4598, 5831, 6659, 7481, 331, 1797, 2720, 4094, 4867, 5706, 7010, 7674, 881, 1499, 3068, 3876, 4364, 5248, 6559, 7768, 778, 1747, 2993, 3987, 4439, 5555, 7033, 7873, 840, 2070, 2556, 3918, 4801, 6214, 6728, 7547, 443, 1842, 2207, 4084, 4609, 5679, 7158, 8257, 884, 1838, 3037, 3599, 4751, 6126, 6853, 7627, 386, 2050, 2867, 3989, 4847, 5325, 6561, 8139, 249, 1440, 2294, 3325, 4364, 5793, 6970, 8026, 993, 1469, 3126, 3432, 4621, 5323, 7015, 8248, 1025, 1469, 3005, 4101, 4604, 6104, 6480, 7933, 308, 1624, 2996, 4068, 5053, 6001, 6630, 7570, 211, 1867, 2880, 3914, 5129, 5910, 7162, 8266, 684, 1620, 3007, 3961, 4859, 5437, 6688, 7906, 804, 1945, 2803, 3982, 4287, 5883, 7132, 7677, 308, 1833, 2996, 4018, 4551, 6103, 7077, 8179, 572, 1601, 2163, 3430, 4590, 6171, 6798, 7576, 997, 1655, 2455, 3398, 4541, 6135, 6470, 7950, 997, 1826, 2751, 3366, 4848, 5362, 7154, 7259, 584, 2009, 2751, 3647, 4976, 5843, 7227, 8025, 1050, 1785, 2534, 3329, 4571, 6016, 6962, 7396, 723, 1826, 2731, 3672, 4371, 5408, 6442, 7928, 535, 1706, 2731, 3421, 5074, 5384, 6434, 7683, 884, 2109, 2165, 3421, 5154, 5843, 7140, 7613, 737, 1397, 2824, 3356, 4539, 6141, 6592, 7636, 249, 1472, 3070, 3356, 4572, 6055, 6520, 7922, 725, 1402, 3074, 3770, 4758, 5867, 6770, 7983, 1101, 1653, 2282, 4158, 4321, 6111, 7219, 7892, 386, 1548, 2572, 3495, 4576, 6135, 6666, 7545, 1023, 1826, 2128, 3262, 4796, 5400, 6885, 7881, 150, 1509, 2867, 3434, 4308, 5257, 7038, 8261, 1025, 1865, 2555, 3420, 4717, 6194, 6840, 7585, 887, 2008, 2429, 3167, 4521, 5289, 6905, 7510, 887, 2033, 2163, 3706, 4595, 5656, 6889, 7367, 513, 1978, 2780, 3865, 5088, 6217, 6254, 7677, 518, 1749, 2429, 3564, 4912, 5671, 6619, 8254, 225, 1275, 3028, 3859, 4918, 5594, 6639, 7649, 405, 1490, 2820, 3188, 4513, 5844, 6613, 7476, 1084, 2125, 2975, 3714, 4789, 5548, 7007, 7309, 961, 1919, 2975, 3474, 4737, 5624, 7217, 7494, 113, 1989, 2740, 3773, 4253, 5296, 6608, 7458, 993, 2070, 2798, 3288, 4604, 6086, 6884, 8012, 83, 2008, 2352, 3195, 4364, 6053, 6293, 7954, 83, 2008, 3029, 3869, 5110, 5421, 6883, 8016, 1016, 2008, 3029, 3496, 4887, 6176, 6883, 7348, 961, 1581, 2944, 3440, 4364, 5819, 6914, 7424, 804, 1660, 2151, 4085, 4918, 5359, 6470, 7516, 186, 1791, 2998, 3440, 5106, 5850, 7218, 7887, 984, 1791, 2730, 3188, 5060, 5635, 6953, 7485, 984, 1856, 3064, 4011, 5060, 6085, 6709, 8054, 579, 1817, 2617, 4011, 4576, 5641, 6426, 8164, 617, 1858, 2905, 3886, 4287, 6085, 7162, 7791, 617, 1865, 2858, 3886, 5184, 5752, 7239, 7363, 211, 1668, 2728, 3595, 4512, 5462, 7047, 7723, 1033, 2050, 2807, 3676, 4335, 6061, 6537, 7547, 536, 1199, 2389, 4007, 4603, 5731, 6347, 7582, 994, 1773, 2536, 4007, 5111, 5510, 7004, 7737, 326, 1934, 2494, 3573, 5152, 5822, 6485, 8091, 407, 1472, 2744, 3635, 4773, 5361, 7241, 8248, 1041, 1397, 2959, 3958, 5084, 6194, 6234, 7882, 493, 1108, 2346, 3232, 4995, 5938, 6433, 8025, 404, 1706, 2751, 3768, 5188, 6039, 7183, 7577, 113, 1942, 3032, 3986, 4985, 6131, 6538, 8070, 487, 1397, 2258, 3928, 4571, 5621, 6648, 8161, 807, 1108, 2154, 3298, 4539, 5746, 7181, 7487, 668, 1732, 2610, 3262, 4321, 6096, 7203, 7260, 996, 2053, 2751, 3764, 4743, 5721, 6863, 7752, 1062, 1808, 2697, 3873, 4881, 5971, 6640, 7305, 495, 1821, 2407, 3986, 4364, 5671, 6651, 7673, 495, 1581, 3116, 3619, 4775, 5584, 7229, 8000, 807, 1108, 2797, 3380, 4546, 5810, 6385, 7770, 807, 1309, 3116, 3544, 4197, 6002, 7181, 8117, 807, 1600, 2440, 3764, 4539, 5212, 7149, 7933, 887, 1834, 3020, 3537, 4539, 5637, 6442, 7955, 150, 1721, 3020, 3943, 4755, 5981, 7044, 7873, 610, 1302, 2292, 3873, 4985, 5573, 7129, 8188, 643, 1721, 2439, 4096, 4985, 5534, 6918, 7794, 1081, 1755, 2996, 3929, 4350, 5514, 6852, 7557, 1025, 1797, 2165, 3645, 4276, 5210, 6852, 7948, 940, 1797, 3008, 4068, 4918, 5901, 6972, 7778, 488, 1945, 2803, 4108, 4980, 6129, 6752, 8195, 488, 1963, 3110, 4018, 4681, 6103, 6972, 7806, 818, 2000, 2164, 3893, 4624, 6139, 7226, 8223, 488, 2000, 3135, 3710, 5038, 5705, 7124, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2914, 3893, 4798, 6139, 7124, 7766, 488, 1648, 2914, 4071, 4870, 6186, 7120, 7723, 488, 1648, 3021, 4071, 4624, 6081, 7124, 7723, 915, 1623, 2833, 3825, 4583, 6139, 6996, 7664, 555, 1750, 2833, 4071, 4622, 5550, 6752, 8223, 915, 1648, 2806, 3914, 4622, 5241, 7124, 8223, 555, 2111, 3064, 4006, 4624, 5635, 7077, 8080, 915, 1623, 2914, 3914, 4583, 5550, 7152, 7715, 555, 1648, 2833, 3825, 4622, 5635, 7077, 8076, 915, 1648, 2806, 3914, 4870, 5241, 6677, 8223, 915, 2017, 2970, 3891, 4798, 5635, 6996, 8080, 915, 2017, 2858, 3914, 4798, 5241, 7077, 7723, 915, 1648, 2806, 3391, 4387, 5241, 6752, 8223, 915, 1623, 2833, 4071, 4512, 6139, 6996, 8196, 915, 1623, 2806, 3374, 4890, 6139, 7124, 8147, 4, 2 ]
[ 1, 43, 48, 5, 53, 17, 64, 66, 5, 54, 23, 5, 53, 39, 51, 5, 42, 69, 30, 5, 43, 45, 78, 5, 57, 54, 5, 14, 30, 63, 34, 64, 5, 5, 3, 487, 1561, 2610, 3578, 5073, 5665, 6763, 7397, 1011, 1455, 2555, 4096, 4364, 5586, 7017, 8174, 663, 1350, 2688, 3410, 4374, 6213, 7019, 8236, 424, 1931, 2737, 3801, 4686, 6014, 6761, 8130, 850, 1146, 2737, 4132, 4440, 5797, 7067, 8252, 610, 1878, 2737, 3671, 4573, 5644, 6966, 7693, 1090, 2107, 2868, 4062, 4700, 5834, 6774, 7547, 569, 1571, 2232, 4085, 4945, 5745, 6935, 7366, 981, 1463, 3149, 3262, 5009, 6080, 7244, 8129, 678, 1828, 3083, 3943, 4364, 5479, 6834, 8210, 878, 1596, 2803, 3832, 4844, 6094, 6914, 7610, 195, 2002, 2868, 4155, 5107, 5831, 6949, 7838, 654, 2108, 2631, 4102, 4923, 5962, 7017, 7707, 518, 1596, 2554, 3674, 4344, 6083, 6715, 7430, 240, 1881, 2335, 3732, 4329, 5705, 6623, 7838, 935, 1851, 2669, 3364, 5104, 5963, 7152, 7948, 951, 2097, 2991, 4027, 4807, 6205, 6755, 7838, 488, 2046, 2728, 4068, 4888, 5901, 7058, 8147, 304, 1467, 3064, 3454, 5060, 6131, 6566, 8260, 1033, 1120, 3053, 3975, 4334, 6146, 7069, 7949, 536, 1491, 2401, 3273, 4666, 6134, 7143, 7868, 150, 2036, 2986, 3492, 4702, 6006, 6442, 7389, 459, 1171, 2312, 3483, 4886, 5650, 6998, 8268, 996, 1728, 2920, 3635, 5031, 5223, 6839, 7312, 1080, 1828, 3010, 3790, 4827, 5856, 6478, 7397, 995, 1828, 2844, 3714, 4812, 5685, 6541, 7525, 938, 1547, 2751, 3964, 4597, 5545, 6287, 7984, 508, 1463, 2373, 3887, 5161, 5545, 6700, 7675, 692, 1199, 2435, 3276, 4441, 5713, 7104, 7611, 620, 1183, 2348, 3520, 5134, 5410, 6654, 7758, 1052, 1183, 2642, 3419, 4248, 6142, 6474, 7480, 271, 1183, 2835, 3500, 4277, 5719, 7231, 7583, 826, 1873, 2628, 4047, 4408, 5643, 6224, 7756, 1033, 1721, 3063, 4138, 5180, 5954, 6348, 8066, 104, 1773, 2312, 3516, 4849, 5658, 7010, 7996, 1025, 1918, 2975, 3201, 4966, 6092, 7047, 8266, 1025, 1238, 3092, 3870, 4792, 5893, 7095, 7753, 1035, 1455, 2795, 3870, 4334, 5907, 6725, 8184, 887, 1978, 3075, 3427, 4700, 5277, 6663, 7641, 786, 1826, 2716, 3616, 5107, 5745, 7041, 7858, 139, 1732, 2832, 3398, 4365, 5633, 6224, 7817, 1040, 1550, 2751, 3239, 5073, 5629, 6315, 7317, 986, 1889, 2751, 4079, 4763, 6155, 7229, 7900, 952, 1550, 2631, 3537, 4604, 6001, 6736, 8259, 513, 1831, 3074, 3340, 4364, 5727, 6569, 7756, 956, 1683, 2552, 3929, 5165, 5778, 6657, 7962, 1099, 1867, 3135, 3891, 5159, 5694, 6604, 7806, 510, 1945, 3006, 4108, 5058, 6175, 6967, 7421, 1099, 2017, 2932, 4170, 4276, 6129, 7239, 7766, 818, 1528, 3095, 4108, 4630, 6182, 6972, 7421, 510, 1791, 2925, 3710, 5080, 5612, 6709, 7949, 91, 1396, 2756, 3392, 4372, 6157, 6645, 7822, 171, 1933, 2890, 3955, 4215, 5962, 7168, 8083, 223, 1141, 2783, 4064, 5042, 6103, 7149, 7786, 150, 1497, 3092, 3201, 5164, 5684, 6834, 8178, 462, 1770, 2137, 4073, 4385, 5648, 6293, 7829, 668, 1350, 2339, 3665, 4335, 5398, 6426, 8165, 778, 1531, 3018, 3968, 5170, 5240, 6493, 7355, 1062, 1510, 2232, 4098, 4669, 5276, 6531, 8244, 639, 1154, 2660, 3524, 4700, 5794, 6554, 7858, 1090, 1601, 2222, 3848, 5150, 6156, 6704, 8046, 103, 1906, 3032, 3535, 4351, 5836, 6347, 7367, 1020, 1182, 2710, 3955, 4664, 5413, 6660, 8150, 247, 1286, 2365, 3994, 4298, 5301, 6476, 7605, 465, 1244, 3029, 4106, 4819, 5549, 6478, 7311, 397, 1335, 2902, 3331, 4539, 5898, 7165, 7544, 793, 1608, 2872, 3623, 4945, 5320, 7014, 7873, 930, 2055, 2327, 3329, 4195, 5652, 6710, 8114, 1040, 1755, 2751, 3517, 4195, 5529, 7043, 8189, 868, 1881, 2659, 3266, 4321, 5613, 6914, 7759, 902, 1608, 2562, 3776, 4321, 6212, 7009, 8100, 1014, 1139, 2751, 3879, 5125, 5320, 6412, 7288, 195, 1238, 2751, 3961, 4395, 5536, 6242, 8035, 576, 1826, 3032, 3817, 4214, 5349, 6603, 7675, 309, 1826, 2976, 3623, 4441, 5790, 6486, 7303, 1102, 2024, 2976, 4088, 4881, 5223, 7019, 8038, 665, 1489, 2693, 3395, 4934, 5402, 6841, 7945, 1019, 1108, 2751, 3385, 4494, 5444, 6325, 8249, 536, 1239, 2979, 3986, 4363, 5512, 6287, 7905, 536, 1681, 2737, 3167, 4718, 6117, 7140, 7366, 802, 1873, 2130, 3565, 4656, 5776, 6269, 7835, 113, 1728, 2977, 3352, 4643, 5248, 6632, 7502, 1025, 1852, 2518, 3420, 4364, 5821, 6853, 7527, 1025, 1867, 2518, 3727, 4553, 5616, 6959, 7822, 1025, 2117, 2397, 3420, 4245, 6174, 6903, 8208, 1029, 2079, 3066, 3917, 4617, 5457, 7195, 8248, 104, 1566, 3080, 3437, 4595, 5899, 6703, 7737, 104, 1141, 2553, 3941, 4603, 5890, 7114, 8043, 104, 1721, 3080, 3877, 5036, 5908, 6870, 7532, 887, 1635, 2727, 3917, 4807, 5413, 6771, 7557, 887, 1306, 2868, 3323, 4780, 5344, 7069, 7870, 443, 1320, 2429, 3582, 4701, 5602, 6737, 7472, 1057, 2053, 2587, 3245, 4321, 5516, 6739, 8189, 1084, 1422, 2282, 3865, 4541, 6135, 7085, 8018, 691, 1826, 2483, 3191, 4236, 5503, 6393, 7834, 211, 1472, 2282, 3908, 4428, 5589, 7223, 8259, 914, 1581, 2946, 4114, 4918, 5993, 6830, 8248, 804, 1791, 3064, 3803, 4912, 6129, 7132, 8083, 308, 1620, 2925, 3540, 4896, 6175, 6988, 8237, 684, 1750, 2947, 4011, 4912, 5883, 6988, 8237, 153, 1684, 3026, 3904, 4289, 5740, 6898, 7838, 541, 1966, 2356, 3838, 4211, 5610, 6602, 7887, 541, 1171, 2515, 3782, 4412, 5586, 7165, 7677, 1038, 1758, 2149, 3517, 5072, 5918, 7165, 8227, 840, 1770, 2432, 3889, 4735, 5874, 7143, 8025, 344, 1202, 2432, 4007, 4745, 5899, 6282, 8232, 876, 1884, 3029, 4073, 4448, 5965, 7065, 7740, 693, 1674, 2378, 3261, 5164, 5208, 6914, 7881, 693, 1674, 2561, 3421, 5124, 5255, 6398, 7586, 693, 1422, 2156, 4079, 4419, 5610, 6692, 7770, 996, 1472, 2941, 3282, 5188, 5503, 7041, 7721, 265, 1832, 2941, 3714, 5084, 5347, 7122, 8132, 844, 1669, 2871, 3967, 4949, 5470, 7163, 7872, 1062, 1422, 2175, 3939, 4855, 5613, 6343, 8046, 756, 1557, 2579, 3773, 4755, 5614, 6485, 7279, 654, 1210, 2181, 3320, 4519, 5792, 6959, 7811, 654, 1597, 3133, 3681, 5159, 6149, 6988, 7476, 654, 2060, 2725, 3416, 5134, 5935, 7152, 7715, 518, 2127, 2959, 3838, 5138, 5586, 7160, 7477, 654, 1286, 2473, 4168, 4890, 5581, 7232, 7706, 127, 2106, 2562, 3937, 5135, 5385, 6579, 7826, 228, 2060, 2959, 3535, 5166, 5515, 6740, 8130, 240, 2002, 3133, 3803, 4715, 5734, 6591, 7568, 256, 1750, 2565, 3171, 4877, 5677, 7079, 7732, 543, 1826, 2221, 3827, 5167, 5603, 7091, 8046, 818, 1756, 2833, 3914, 4704, 5678, 6996, 8237, 488, 2017, 3117, 3914, 4555, 5677, 7124, 7557, 488, 1528, 3117, 3367, 4624, 5677, 7124, 7715, 914, 1648, 2833, 3516, 4704, 5534, 7132, 8179, 555, 1623, 2833, 3374, 4798, 5534, 6604, 8223, 617, 1695, 2560, 3886, 5134, 5844, 6291, 7919, 105, 1695, 2792, 4149, 5159, 5677, 6996, 8261, 617, 1695, 2340, 3407, 4549, 6149, 6996, 7664, 617, 2002, 2729, 3550, 4214, 5493, 6291, 7806, 617, 1570, 2560, 3879, 4512, 5550, 7098, 7476, 617, 2127, 2833, 3879, 5120, 5901, 7168, 7766, 617, 1147, 2970, 3407, 4555, 5811, 7103, 7563, 617, 2127, 3021, 4068, 4423, 5580, 7168, 7563, 617, 2127, 2659, 4068, 4549, 6149, 6251, 8164, 617, 1564, 3064, 3662, 4549, 5811, 6840, 7677, 617, 1648, 2833, 3407, 5060, 5924, 6840, 8237, 105, 2106, 2833, 3550, 5038, 5438, 6688, 8066, 617, 1564, 3046, 3376, 5040, 5901, 6899, 7723, 617, 2106, 3143, 3407, 4762, 5550, 6579, 7753, 4, 2 ]
[ 1, 65, 39, 30, 44, 30, 5, 28, 26, 5, 66, 63, 48, 78, 5, 41, 20, 63, 5, 16, 28, 23, 66, 5, 16, 5, 51, 76, 20, 63, 66, 35, 5, 17, 75, 5, 16, 5, 53, 26, 52, 5, 5, 3, 334, 1286, 3084, 3603, 4645, 5297, 7100, 7483, 334, 1935, 3084, 3329, 5167, 5818, 6809, 8163, 225, 1971, 2468, 4121, 4411, 5802, 7229, 7873, 225, 1958, 2468, 4121, 4701, 6221, 6605, 7849, 225, 2106, 3098, 3827, 4486, 5493, 6810, 7570, 334, 1286, 2468, 4026, 4645, 5610, 7120, 7260, 757, 1490, 2278, 3235, 4437, 5530, 6584, 7485, 757, 1750, 2957, 3838, 5179, 5223, 6507, 7831, 392, 1286, 2872, 3865, 4429, 5438, 6470, 8179, 402, 1133, 2208, 3678, 5043, 5966, 6397, 8049, 801, 1896, 2312, 3588, 5093, 6220, 7131, 8189, 480, 1516, 2740, 3410, 4224, 6165, 6464, 7741, 902, 2089, 2794, 3291, 5065, 5413, 7010, 7915, 902, 1954, 2508, 3320, 4184, 5706, 6599, 8173, 1040, 1141, 3080, 3542, 4672, 5653, 6877, 7442, 722, 1674, 2479, 3291, 4501, 5682, 6683, 7467, 397, 2071, 2996, 3987, 4776, 5259, 6443, 7678, 582, 2034, 2503, 3623, 4988, 5345, 6832, 7279, 582, 1449, 2741, 3623, 5190, 5602, 6612, 7498, 731, 1564, 3091, 3162, 5167, 5527, 6995, 7756, 401, 1564, 2598, 4067, 5151, 5228, 6301, 7677, 103, 1668, 2636, 3162, 4510, 6181, 6579, 8261, 335, 2034, 2173, 4137, 4191, 5385, 7071, 8055, 582, 1449, 2172, 3623, 4609, 5257, 7055, 7384, 856, 1564, 2316, 3300, 4376, 6017, 7224, 8025, 856, 1133, 2316, 3977, 4894, 5292, 6717, 8211, 545, 2034, 2648, 3332, 4444, 5608, 6924, 7873, 1003, 1695, 2316, 3217, 5103, 5548, 6269, 7807, 779, 1761, 2636, 3827, 5151, 6129, 6771, 8164, 571, 1227, 2856, 3886, 4861, 6205, 6604, 7992, 304, 2095, 2989, 3889, 4822, 5534, 6979, 8267, 571, 1777, 2924, 4108, 4533, 5883, 7239, 8236, 512, 1998, 3098, 4027, 5139, 5550, 7207, 7717, 779, 1587, 2239, 3961, 4622, 5565, 7218, 7570, 804, 2000, 3043, 4018, 5038, 5548, 6709, 7716, 1088, 1910, 2381, 4152, 5038, 6204, 6852, 7957, 333, 1402, 2515, 3533, 4545, 5567, 6980, 7767, 360, 1503, 2861, 3418, 4495, 5337, 6289, 7710, 249, 1199, 2307, 3399, 4500, 6043, 6828, 7621, 725, 1503, 2999, 3425, 4690, 5451, 6463, 7921, 942, 2011, 2869, 4081, 4435, 5990, 6871, 7918, 759, 1520, 2953, 3161, 4593, 5660, 6930, 7363, 725, 1778, 2839, 3718, 4921, 6034, 6485, 7369, 271, 1164, 2307, 3700, 4219, 5937, 7048, 7744, 545, 1688, 2717, 3337, 4200, 5316, 6244, 7889, 150, 1858, 2940, 3217, 4241, 5921, 6521, 8195, 804, 2000, 2740, 3994, 5080, 5616, 6588, 7664, 186, 1945, 2586, 4017, 5060, 6211, 6604, 7591, 935, 1622, 2803, 3226, 4589, 5883, 6588, 8260, 186, 2032, 2991, 4006, 5058, 5901, 6752, 8195, 967, 1320, 3008, 3662, 4822, 5875, 7220, 7948, 421, 2098, 2918, 3681, 4638, 5223, 6850, 7718, 568, 1971, 2469, 3966, 4459, 5413, 6893, 7423, 334, 1510, 2950, 3903, 4983, 5584, 6715, 8202, 579, 1596, 2316, 4145, 4916, 5981, 6607, 7549, 541, 1141, 3048, 3394, 4727, 5676, 6723, 7687, 541, 1141, 3114, 3394, 4879, 5477, 7090, 8230, 579, 1971, 2473, 3798, 4205, 5293, 7098, 8237, 153, 1758, 3133, 3365, 4512, 5734, 6986, 8179, 1102, 1758, 2293, 3239, 4985, 6001, 6909, 7933, 1033, 1268, 2315, 3771, 4952, 5704, 6800, 7579, 271, 1164, 2378, 4126, 5164, 5591, 7133, 7563, 487, 1302, 2543, 3341, 4700, 5861, 6298, 7904, 986, 1563, 2751, 3205, 4665, 5745, 6265, 7973, 582, 1948, 2595, 3939, 4855, 5257, 6927, 7577, 986, 1682, 2156, 3224, 4364, 6077, 6830, 7790, 923, 1782, 2693, 4103, 4604, 6119, 6866, 7627, 487, 1255, 2429, 4010, 4776, 5925, 6798, 7442, 487, 1255, 2156, 3929, 4900, 6135, 6734, 8176, 986, 1924, 2156, 3307, 4604, 5810, 6870, 8066, 986, 1771, 2156, 3307, 5114, 6068, 6614, 7602, 986, 1978, 2156, 3936, 5098, 5733, 6466, 7996, 807, 1858, 3116, 3894, 4901, 5574, 6466, 7384, 582, 1350, 2492, 3623, 4539, 5652, 6485, 8253, 826, 1674, 2401, 3421, 4338, 5810, 6986, 7902, 1040, 1858, 2401, 3601, 4321, 5457, 6869, 8220, 986, 1306, 2751, 3601, 4734, 5441, 7112, 7954, 536, 1674, 3101, 4096, 4541, 5512, 7114, 8128, 104, 1388, 3020, 3820, 4358, 5279, 6762, 7973, 936, 1570, 2693, 4007, 4635, 5695, 6574, 7704, 936, 1652, 2520, 4007, 4604, 5782, 6883, 7902, 936, 1652, 2520, 3603, 4483, 5745, 6678, 7336, 691, 2117, 2656, 4126, 4592, 5978, 6965, 7492, 576, 1600, 2988, 4120, 5095, 5341, 6844, 7451, 225, 1620, 3032, 3963, 4519, 5286, 6431, 7546, 654, 1345, 2833, 3798, 4384, 5827, 7096, 7677, 654, 1750, 2468, 3394, 4329, 5331, 6918, 8047, 453, 1525, 2529, 3591, 5151, 5844, 6657, 8083, 859, 1998, 2562, 4145, 5138, 5844, 7168, 7831, 818, 1684, 3135, 3914, 5038, 5677, 7232, 7717, 818, 1620, 2806, 3623, 4704, 6129, 6604, 8080, 915, 1528, 2914, 3886, 5061, 6149, 6612, 8080, 105, 1147, 2833, 4006, 4512, 5296, 6579, 7673, 617, 2013, 3021, 3917, 4870, 6182, 6579, 7707, 617, 2002, 2858, 4145, 4555, 5901, 6717, 7907, 105, 2002, 3021, 3855, 4762, 6149, 6412, 8168, 617, 2106, 2542, 3689, 4513, 6175, 6671, 8164, 617, 1596, 2833, 3517, 4351, 5811, 6551, 8236, 617, 2002, 2941, 4153, 4344, 5901, 6430, 7771, 617, 2111, 2880, 3689, 4555, 5987, 6726, 7476, 105, 2002, 2959, 3528, 4890, 5534, 7232, 8147, 171, 1596, 3040, 3374, 4344, 5957, 7120, 7825, 484, 1596, 2221, 3777, 4214, 5730, 6465, 7485, 860, 2073, 2806, 4071, 4704, 6186, 7120, 7715, 142, 1528, 2806, 4145, 4704, 5241, 7077, 8080, 488, 1622, 2806, 3893, 4624, 5901, 7207, 7766, 488, 2017, 2914, 3893, 4624, 5241, 7077, 7766, 186, 1528, 2340, 4071, 4624, 5635, 7077, 8223, 878, 1386, 2473, 3994, 4653, 5308, 6748, 7717, 613, 1700, 3128, 3216, 4334, 6146, 7077, 8085, 271, 1499, 2304, 3712, 4387, 5389, 6613, 7471, 249, 1950, 3090, 3561, 5103, 5435, 6722, 7968, 888, 1937, 3003, 3411, 4180, 6071, 6439, 7634, 1029, 1882, 2816, 4119, 4815, 5501, 6670, 7941, 536, 1402, 2511, 3325, 4772, 5348, 6360, 7837, 840, 1754, 2878, 4130, 4310, 5564, 6878, 7596, 1067, 1736, 3007, 3517, 4852, 5953, 6321, 7305, 725, 1812, 2376, 3375, 4910, 6183, 7214, 7938, 465, 1338, 3118, 3392, 4474, 5444, 6464, 7995, 888, 2008, 2234, 3505, 4894, 6221, 7173, 7622, 1001, 1818, 2409, 3315, 4928, 5454, 6258, 7690, 684, 2035, 2838, 4027, 4792, 5418, 7207, 7583, 211, 1407, 2880, 4011, 4713, 6085, 6809, 8080, 684, 1978, 3006, 4027, 4856, 6171, 6408, 7361, 390, 1660, 2925, 3916, 5141, 6195, 7157, 7965, 645, 1675, 2639, 4026, 4691, 5475, 6507, 7948, 363, 1983, 2915, 3179, 5150, 5279, 7143, 7905, 983, 1499, 2173, 3748, 4559, 5668, 6963, 7650, 1070, 1212, 2173, 3721, 4301, 5668, 7140, 7266, 508, 2009, 2372, 3833, 4531, 5223, 6426, 7951, 508, 2009, 2372, 3833, 4408, 5914, 7192, 7676, 1057, 1199, 2460, 3332, 4730, 5675, 6860, 8053, 1057, 1199, 2385, 3493, 4321, 6031, 6262, 7428, 942, 1791, 2581, 3267, 4936, 6015, 7080, 8016, 401, 1937, 2798, 4112, 4797, 6175, 6774, 8259, 308, 2073, 3008, 4041, 5061, 6205, 7230, 7948, 153, 1175, 2659, 4155, 4991, 5216, 6810, 7919, 1005, 1797, 2385, 3680, 4287, 6080, 6888, 7291, 373, 1682, 2899, 3885, 4558, 5771, 6603, 7528, 304, 2073, 2803, 3793, 4589, 5589, 6256, 7829, 956, 1587, 3108, 3983, 4782, 5219, 7058, 8185, 818, 2041, 3110, 4114, 5060, 6211, 7218, 7591, 818, 2000, 2880, 3710, 5038, 6085, 7226, 8260, 1097, 2017, 2781, 3516, 4551, 5534, 6752, 8179, 956, 1528, 2781, 3516, 4980, 5534, 6979, 8267, 738, 1179, 2900, 3909, 4307, 5344, 6857, 7981, 1094, 2061, 2547, 3449, 4923, 5442, 7118, 7725, 1015, 1874, 2391, 3903, 4329, 5844, 6324, 7707, 899, 1756, 2554, 3696, 4682, 5614, 6311, 7451, 1015, 1756, 2860, 3623, 5169, 6042, 6346, 8009, 833, 2035, 3144, 3855, 4241, 5223, 7132, 7485, 752, 1688, 2783, 3643, 5053, 5756, 7149, 7384, 277, 1919, 2956, 3880, 5107, 5212, 6364, 7712, 277, 1919, 3034, 3864, 4241, 5509, 7060, 7706, 1001, 1146, 2712, 3965, 4452, 5488, 6953, 8230, 1008, 1716, 2231, 3517, 4509, 6019, 6614, 7574, 242, 1988, 2173, 3936, 4474, 5872, 7134, 7759, 895, 1926, 3116, 3432, 5195, 5894, 6674, 7527, 844, 1728, 2743, 3685, 4636, 5720, 6592, 7998, 1057, 1196, 2661, 3439, 4195, 5231, 6550, 8050, 645, 2091, 2349, 3540, 4447, 5253, 6531, 8145, 132, 2068, 2999, 3918, 4587, 6024, 7120, 7941, 171, 1945, 2728, 3961, 4299, 5687, 6515, 7753, 171, 1992, 2838, 3962, 5165, 5817, 7163, 7870, 833, 1821, 3150, 3826, 5083, 5869, 7107, 7717, 776, 1930, 2868, 3990, 4918, 5210, 7132, 7519, 887, 1324, 2261, 3162, 4437, 5918, 6980, 7716, 887, 1477, 2878, 3307, 5127, 6160, 6584, 7869, 887, 1477, 2446, 3792, 4215, 6014, 6251, 8105, 1090, 1327, 2740, 3936, 5022, 5796, 6751, 7962, 440, 1791, 2740, 3964, 4893, 6089, 6551, 7262, 440, 2041, 3110, 4115, 4925, 5850, 6668, 7948, 901, 1491, 2818, 3307, 4423, 5580, 6586, 7962, 516, 1139, 2491, 4097, 4881, 5331, 6859, 7767, 271, 2088, 2247, 3651, 4604, 5833, 7100, 7264, 895, 1977, 2137, 4009, 4670, 5583, 6684, 8165, 150, 1609, 2998, 3727, 5171, 5314, 6928, 8172, 1029, 1783, 2383, 3909, 4284, 5454, 6537, 7576, 643, 1296, 2940, 3319, 4303, 5305, 6260, 8234, 1033, 1167, 2746, 4096, 4470, 6074, 6789, 8015, 150, 1820, 2564, 4101, 4891, 5898, 6813, 7962, 150, 2009, 2142, 4005, 4274, 5570, 6224, 8043, 610, 1370, 2142, 3310, 5124, 5431, 7156, 8117, 160, 2001, 2387, 3934, 4834, 5784, 6891, 7930, 1025, 1370, 2659, 4063, 5098, 6128, 6403, 7783, 608, 1940, 2840, 3416, 4626, 5373, 7060, 8168, 360, 1469, 2618, 4137, 4621, 5756, 6626, 7815, 775, 1183, 2660, 3979, 4932, 5585, 6497, 7398, 910, 1351, 3040, 3979, 4321, 5803, 6674, 7329, 581, 1183, 3146, 3421, 4396, 5711, 7067, 7598, 535, 1183, 2390, 3953, 4472, 5624, 6224, 7470, 302, 1183, 2757, 3154, 4409, 5431, 6545, 7740, 283, 1630, 3040, 3787, 4431, 5506, 6922, 7954, 1040, 1426, 2344, 3458, 4321, 5886, 6707, 8069, 581, 2036, 2491, 3830, 4699, 5938, 6550, 8157, 113, 1506, 2232, 3214, 5124, 5451, 7232, 8161, 320, 1455, 3029, 3513, 5128, 6207, 7074, 8036, 810, 1510, 2260, 4016, 5188, 5567, 6890, 7672, 1070, 1336, 2751, 4075, 4205, 6041, 6985, 7449, 482, 1769, 2543, 4162, 4902, 5773, 6883, 7825, 763, 1510, 2887, 3764, 4364, 5324, 6836, 7413, 730, 1653, 2776, 3585, 4717, 5212, 6606, 7928, 730, 1408, 2751, 3417, 4691, 5782, 6865, 8089, 763, 1673, 2436, 3177, 4437, 6114, 6442, 8092, 428, 1706, 3010, 3506, 4663, 5549, 6275, 7397, 339, 1865, 2345, 4158, 5020, 5325, 6560, 8097, 494, 1499, 3054, 3741, 4543, 5387, 6762, 7362, 1063, 2036, 2175, 3356, 4587, 5577, 6348, 7988, 961, 1926, 2882, 4038, 4514, 5341, 6719, 8099, 235, 1926, 3061, 4072, 4216, 5338, 6620, 7480, 235, 2050, 2555, 3384, 4426, 5657, 7184, 8089, 132, 2073, 2582, 4150, 4919, 5475, 6857, 7792, 484, 1963, 2391, 4114, 4533, 6001, 6423, 7421, 186, 1475, 2975, 3645, 5058, 5241, 6786, 7723, 935, 2073, 3006, 3188, 5159, 5661, 6688, 8267, 818, 2017, 2781, 3188, 4704, 5901, 7226, 7723, 555, 2065, 2806, 4018, 4888, 5901, 6584, 8080, 105, 2111, 3147, 3188, 4611, 5550, 6810, 7677, 617, 2002, 2970, 3777, 4276, 5385, 7120, 7806, 757, 1332, 2659, 3518, 4536, 5296, 7152, 8107, 617, 2106, 2970, 4092, 4764, 5901, 7160, 7962, 617, 1289, 2469, 4068, 4704, 5890, 6348, 8077, 4, 2 ]
[ 1, 16, 54, 30, 5, 66, 73, 5, 66, 36, 54, 5, 66, 73, 5, 31, 16, 5, 28, 33, 64, 66, 5, 62, 11, 64, 16, 28, 16, 52, 5, 16, 51, 23, 54, 66, 5, 33, 75, 35, 47, 5, 23, 66, 76, 35, 30, 5, 13, 30, 75, 14, 54, 66, 44, 50, 5, 76, 44, 31, 45, 54, 5, 43, 45, 78, 5, 63, 48, 29, 5, 5, 3, 945, 2097, 3144, 3803, 5159, 5677, 6988, 8147, 419, 2114, 2806, 4071, 5138, 5493, 6671, 8147, 240, 1684, 3147, 3975, 5138, 5296, 7048, 7557, 480, 1631, 2346, 3158, 4222, 5737, 6909, 8143, 96, 1205, 2487, 3763, 4539, 5551, 7042, 8046, 224, 1349, 2468, 3806, 4176, 5839, 6811, 7518, 234, 1938, 2377, 3888, 4467, 5381, 6535, 7508, 739, 1679, 2415, 3298, 4486, 6087, 6273, 7907, 870, 1776, 2951, 3225, 4835, 5956, 7070, 7955, 441, 1438, 2951, 3991, 4412, 5248, 6252, 7851, 987, 1530, 3097, 3555, 4199, 6100, 7071, 8045, 831, 1761, 2865, 4126, 4709, 5734, 7063, 7387, 335, 1498, 3026, 3962, 4615, 5413, 6884, 7810, 731, 1446, 2432, 3233, 4567, 5350, 6569, 7409, 767, 1521, 2607, 4078, 4930, 6025, 7098, 8047, 223, 1916, 2222, 3963, 4212, 5978, 6809, 7753, 955, 1976, 2154, 3183, 4287, 5983, 7157, 7398, 512, 2020, 2839, 4041, 4387, 5963, 7114, 7570, 334, 2073, 2971, 3518, 5125, 5830, 6414, 7629, 334, 1318, 3028, 3396, 4273, 5740, 6749, 7437, 757, 1233, 2554, 3171, 4179, 6066, 6512, 7252, 676, 1695, 2244, 4011, 5088, 5797, 7173, 7588, 676, 1971, 2444, 3982, 4877, 5925, 6820, 7611, 722, 1252, 3049, 3251, 4896, 5313, 7230, 7469, 850, 1596, 2282, 4117, 4616, 6054, 6900, 7650, 335, 2126, 2282, 3732, 4834, 6120, 6935, 7794, 831, 1889, 2282, 3564, 4287, 5368, 6940, 8151, 408, 1826, 2309, 3556, 4941, 5749, 6605, 8245, 948, 2059, 2910, 3540, 4347, 5447, 6724, 7383, 304, 1752, 2880, 3680, 5106, 5548, 7103, 8057, 512, 1773, 2746, 3990, 4387, 5515, 7058, 8185, 186, 1945, 2730, 4174, 5080, 5340, 7069, 7846, 510, 1981, 3064, 3680, 4888, 6195, 6752, 7631, 510, 1750, 2996, 3982, 4822, 5219, 6996, 7720, 818, 2017, 2960, 3893, 4888, 6129, 6786, 8147, 818, 1528, 2960, 3645, 4624, 5635, 6794, 8147, 231, 1320, 2971, 3412, 4622, 5548, 6430, 8188, 568, 1426, 2601, 4005, 5150, 5438, 6898, 8130, 195, 1524, 3021, 3374, 5159, 6160, 7100, 7831, 874, 2127, 2989, 3782, 4205, 6075, 6632, 7976, 334, 2052, 2659, 3745, 4304, 5534, 6528, 7908, 541, 1695, 3059, 4026, 5076, 6128, 7024, 7361, 707, 1736, 2324, 3535, 5076, 5438, 6414, 7598, 1088, 1373, 2404, 3941, 4399, 5573, 6443, 7971, 533, 1399, 2987, 4076, 4903, 5970, 6560, 7521, 1019, 1689, 2361, 3941, 4766, 5336, 6409, 7604, 726, 1905, 2987, 3399, 4900, 5287, 6968, 7868, 994, 1858, 2997, 3417, 5034, 5479, 6595, 7689, 137, 1689, 2666, 3410, 5034, 5350, 6610, 7634, 1036, 1689, 2884, 4155, 4904, 5788, 6973, 8061, 595, 1435, 2208, 3259, 4417, 5306, 6659, 7837, 339, 1982, 2355, 3303, 4671, 5584, 6985, 8115, 761, 2074, 2601, 3863, 4559, 5886, 7202, 8045, 803, 1302, 2378, 3764, 4752, 5722, 7165, 7510, 803, 1730, 2951, 4155, 4378, 5738, 7041, 8098, 774, 1250, 2913, 3578, 4490, 5257, 6620, 7771, 802, 1993, 2952, 3380, 5109, 5239, 7169, 7813, 759, 1224, 2349, 3634, 4291, 5446, 6678, 7849, 1052, 1376, 2349, 3687, 4176, 5734, 6754, 7572, 1057, 1710, 2850, 3229, 5195, 5957, 6790, 7538, 1057, 1206, 2784, 3446, 4229, 5513, 7046, 7899, 1084, 1510, 2268, 3164, 5052, 5265, 6798, 7515, 1084, 1636, 2848, 3555, 5015, 5886, 6549, 7987, 103, 2079, 2282, 3262, 4364, 5487, 6660, 7816, 288, 1275, 2436, 4087, 5145, 5776, 6736, 7771, 288, 2091, 2326, 4082, 4586, 5534, 7149, 7919, 1090, 1943, 2926, 3987, 5020, 6175, 7120, 7421, 401, 1847, 2404, 3687, 4852, 6175, 6752, 7918, 955, 1403, 2834, 3201, 4796, 5844, 6901, 7717, 831, 1403, 2432, 3581, 5138, 6222, 6938, 8227, 223, 1218, 2994, 3949, 5110, 6014, 6800, 7303, 160, 1821, 2432, 3418, 4846, 5981, 7098, 7677, 1071, 1700, 2924, 4096, 4713, 5630, 6998, 7846, 750, 2079, 3144, 4027, 4556, 5641, 6919, 7899, 1035, 1915, 3101, 3776, 5080, 6222, 7129, 8267, 752, 1540, 2695, 4115, 4954, 5886, 6810, 7941, 684, 1994, 2947, 3167, 4551, 5661, 6589, 8093, 105, 1248, 3008, 3904, 4622, 5573, 6486, 7540, 225, 1304, 2370, 3225, 4561, 5925, 7081, 7427, 225, 1347, 2656, 3723, 4863, 5493, 6655, 7252, 568, 2013, 2944, 3555, 4601, 6137, 6500, 7437, 272, 1300, 2316, 3662, 4586, 5659, 7082, 7963, 403, 1116, 2244, 3857, 5138, 5797, 6613, 7756, 160, 1171, 2538, 3648, 5063, 5980, 6234, 7750, 318, 1562, 2564, 3543, 4595, 5321, 7210, 7649, 386, 1655, 2152, 4080, 5188, 5286, 7126, 7619, 266, 1655, 2847, 3416, 4664, 5961, 6574, 7873, 386, 1655, 2248, 3807, 4298, 5727, 6449, 7937, 266, 1655, 2531, 3521, 4576, 5814, 6884, 7270, 304, 1655, 2803, 3183, 4709, 5771, 6710, 7252, 304, 1833, 2258, 3945, 4554, 5558, 6551, 8145, 304, 1335, 2791, 3438, 4501, 5297, 7144, 8111, 448, 2001, 2139, 3351, 4376, 5840, 6311, 8069, 884, 1682, 2346, 3496, 5048, 5599, 6484, 7798, 781, 1655, 2346, 3581, 4702, 5589, 6273, 8071, 612, 1205, 3075, 3640, 5011, 5793, 7104, 8095, 800, 1199, 3126, 3526, 4934, 5286, 6783, 7622, 536, 1199, 2614, 3707, 4351, 5880, 6360, 7880, 512, 1850, 2729, 3918, 4323, 5485, 6300, 7519, 955, 2088, 2975, 3979, 4983, 5225, 6668, 8133, 1056, 1238, 2975, 4150, 4691, 5978, 6938, 7260, 288, 1660, 2803, 3932, 5169, 5504, 7184, 7557, 512, 1682, 3043, 4145, 5165, 5883, 6810, 7918, 211, 1750, 3135, 3848, 4512, 5219, 7201, 8066, 804, 1963, 3098, 3866, 5058, 5883, 7239, 8267, 512, 2041, 2582, 4174, 4583, 5219, 6972, 7887, 459, 1965, 2842, 4021, 4972, 5479, 6443, 7451, 685, 1548, 2987, 3981, 4282, 6160, 7078, 8038, 546, 1794, 2464, 3831, 4376, 6096, 6674, 7708, 161, 1888, 2725, 3508, 4602, 5607, 6921, 7586, 900, 1830, 2725, 4095, 4603, 5377, 7235, 7833, 161, 1637, 2247, 4122, 4504, 5734, 6477, 7416, 774, 1185, 2613, 3719, 4664, 5629, 7076, 8199, 769, 1664, 2951, 3439, 4376, 6056, 6412, 8094, 448, 1756, 2992, 3851, 4226, 5288, 6408, 7378, 613, 1266, 3046, 3838, 5040, 5955, 7043, 8126, 195, 1820, 2659, 3446, 4541, 5369, 6935, 7398, 225, 2111, 2669, 3541, 4435, 5942, 6776, 7279, 225, 1851, 2792, 3540, 4916, 5923, 6579, 8211, 228, 1851, 2156, 3374, 4636, 5890, 7119, 7893, 518, 1961, 3046, 4037, 4536, 6149, 7006, 7838, 240, 2127, 2858, 4093, 5165, 5589, 6579, 8150, 240, 2078, 3018, 3595, 4412, 5548, 6889, 8083, 543, 1851, 2992, 3803, 4512, 5534, 7132, 8260, 419, 1528, 2992, 4113, 5143, 5493, 7103, 8130, 256, 1750, 2858, 3803, 4412, 6103, 6338, 7740, 225, 1386, 3095, 3225, 4996, 6110, 7030, 8070, 757, 1963, 2356, 4168, 4555, 5385, 6607, 7662, 272, 1750, 2944, 3891, 5076, 5827, 7023, 7732, 213, 1750, 2949, 3932, 4877, 5963, 6589, 7485, 915, 1381, 2880, 4170, 4551, 5677, 7077, 7485, 488, 1648, 3065, 3825, 4704, 5678, 7132, 7876, 488, 1528, 3065, 3825, 4704, 5241, 7077, 7766, 488, 1622, 3117, 3893, 4366, 6186, 7124, 7723, 818, 1648, 3117, 3825, 4624, 6139, 7124, 7766, 756, 1964, 3043, 4018, 4888, 5963, 6302, 8083, 361, 1233, 2886, 3942, 5054, 5373, 6838, 7977, 318, 1318, 2324, 3864, 5084, 5785, 6588, 8252, 716, 1582, 3036, 3684, 4518, 5720, 7059, 8062, 386, 1563, 2713, 4147, 5154, 5604, 7180, 8105, 781, 1199, 3036, 4081, 4338, 5817, 6595, 7627, 893, 1582, 2509, 3890, 4338, 6190, 6618, 8084, 1089, 1120, 2951, 3787, 5010, 5397, 7200, 7298, 864, 1362, 2951, 3596, 5156, 6114, 6836, 7777, 653, 1140, 3054, 3596, 4737, 6096, 6481, 7270, 893, 1567, 2692, 3702, 4587, 5852, 7078, 8238, 262, 1503, 2144, 3894, 4954, 6101, 6295, 7877, 756, 1660, 2836, 3310, 4589, 6061, 7016, 7810, 699, 1937, 2718, 3188, 4844, 5218, 6247, 7594, 195, 1961, 3064, 3555, 5011, 5643, 6898, 7680, 654, 1705, 3139, 4151, 4555, 6116, 6980, 8150, 1014, 2127, 3018, 3723, 4658, 5218, 6798, 8061, 654, 2106, 2391, 3879, 4996, 5734, 7024, 8179, 654, 2002, 2718, 4168, 4863, 5719, 6576, 8242, 568, 1749, 3095, 3225, 4611, 5534, 7212, 7830, 183, 2061, 2792, 3555, 5076, 5694, 6757, 7557, 948, 1637, 2293, 4174, 4983, 5385, 6486, 8085, 1036, 1761, 2429, 3412, 4999, 5656, 6704, 7496, 776, 1677, 3080, 4171, 4514, 6221, 6304, 7928, 401, 1499, 2803, 4155, 5060, 5677, 7047, 7764, 304, 1499, 3133, 3983, 4513, 5637, 6408, 7782, 304, 2001, 2677, 3838, 4877, 5968, 6612, 7420, 304, 2000, 3095, 3440, 5060, 6063, 6338, 7311, 761, 1585, 2720, 3421, 5040, 5242, 6905, 7270, 1045, 1199, 2690, 3780, 4694, 5321, 6523, 7685, 781, 1503, 2705, 3868, 4571, 5421, 6605, 7678, 864, 1503, 2509, 3934, 4467, 5235, 7140, 7516, 862, 1183, 2832, 3634, 5003, 5313, 6880, 8255, 864, 1183, 2731, 3748, 4310, 5440, 6456, 8103, 508, 2066, 2986, 3871, 4592, 5817, 6403, 7758, 970, 1740, 2659, 3237, 4545, 6118, 6502, 7559, 692, 1926, 2649, 3934, 4467, 5338, 6974, 7271, 692, 1183, 2247, 3420, 4318, 5404, 6985, 7941, 234, 1180, 2986, 3785, 4547, 6068, 6384, 7982, 692, 1183, 2810, 3511, 4776, 5595, 7078, 8177, 234, 1738, 3040, 4066, 4502, 6179, 6628, 7703, 862, 1503, 2358, 3259, 4887, 5783, 6284, 7983, 862, 1503, 2563, 3788, 4717, 5220, 6990, 8182, 308, 1789, 2797, 3771, 5141, 5658, 7023, 8132, 171, 1363, 2326, 3866, 4467, 5534, 7149, 7963, 427, 1992, 2959, 4005, 5127, 5433, 7004, 7966, 427, 2065, 3128, 3188, 4374, 5550, 6966, 7485, 935, 1847, 2391, 4152, 4630, 5550, 6988, 7557, 935, 1974, 2834, 3680, 4617, 6222, 6704, 7485, 984, 2065, 2899, 3932, 4792, 6129, 7221, 8260, 252, 1965, 2874, 3862, 5192, 5728, 6240, 8213, 489, 1147, 3099, 4096, 4456, 6110, 7217, 7254, 489, 1561, 3062, 3726, 4955, 6097, 6277, 7969, 716, 1842, 2946, 3849, 4602, 6105, 7233, 8025, 900, 1689, 3123, 4122, 4236, 5350, 7005, 8058, 781, 1689, 3140, 3960, 4866, 5369, 6628, 7438, 517, 1234, 2869, 3548, 4401, 5443, 7005, 7781, 363, 1922, 2137, 3735, 4709, 5944, 7136, 8157, 665, 1205, 2233, 3357, 4755, 5881, 6334, 7362, 1070, 1205, 2689, 3890, 5199, 6002, 7021, 7559, 768, 1897, 2346, 3618, 4847, 5325, 6825, 8251, 494, 1897, 2973, 3239, 4880, 5321, 6279, 7955, 738, 1335, 3112, 3601, 4301, 5754, 7043, 7538, 641, 1438, 2311, 3401, 4521, 5777, 6891, 7524, 610, 1370, 3074, 3432, 5138, 5886, 6423, 7688, 778, 1916, 3108, 3601, 4176, 6122, 6620, 7260, 887, 1499, 2391, 3404, 4763, 6187, 6840, 8121, 104, 1700, 2805, 3973, 5145, 5297, 6685, 8044, 1090, 1937, 2591, 3430, 4653, 5613, 7233, 8235, 1025, 1773, 2330, 3826, 5088, 5995, 6584, 8209, 610, 1238, 2994, 4106, 4653, 6085, 6410, 7557, 424, 1275, 3061, 3885, 4801, 5385, 7237, 7887, 1090, 1540, 2925, 4067, 4366, 5630, 6918, 8159, 804, 1791, 3006, 4108, 4549, 5705, 6515, 7870, 288, 1467, 2943, 4166, 5060, 5968, 6891, 7421, 568, 1898, 3147, 3931, 5135, 5845, 6901, 7732, 195, 1695, 3135, 3358, 4423, 5684, 6542, 7881, 568, 1804, 2665, 3838, 5080, 5296, 6354, 8008, 183, 1684, 2729, 3914, 4512, 5413, 6709, 8164, 859, 1332, 2783, 3994, 4611, 5883, 6901, 7732, 488, 1961, 3135, 3914, 4387, 6129, 7152, 8147, 915, 1620, 2164, 3982, 5138, 5296, 6584, 8147, 488, 1622, 2914, 3825, 5038, 6139, 7226, 8147, 488, 1528, 3117, 3367, 4624, 6186, 7077, 8196, 488, 1622, 3065, 3825, 4624, 6139, 7239, 8196, 915, 1622, 3021, 3893, 4387, 6186, 6584, 7766, 555, 1304, 2833, 3352, 4870, 5438, 6338, 7865, 105, 2127, 2839, 3648, 4549, 6001, 7098, 7831, 488, 1752, 2164, 3893, 5159, 6182, 6604, 7664, 945, 1528, 3065, 3893, 4798, 5635, 7124, 8196, 142, 1622, 2914, 3825, 4624, 6186, 7077, 8147, 419, 1851, 3065, 3914, 4877, 5241, 6889, 7715, 256, 1831, 2239, 3291, 5138, 6113, 7103, 8237, 1065, 1807, 2453, 4026, 4501, 5479, 7215, 7542, 739, 1550, 2335, 3924, 5015, 5391, 6783, 7516, 487, 1689, 2695, 3924, 5040, 5292, 6814, 8156, 1045, 1249, 2453, 4055, 4878, 5298, 6308, 7609, 399, 1279, 2309, 3415, 4929, 5603, 6728, 7617, 1036, 1782, 2683, 3851, 4539, 6135, 6241, 8132, 668, 1896, 2581, 3767, 4785, 5629, 6952, 7590, 668, 1241, 2570, 3535, 4985, 5257, 7043, 7833, 668, 1286, 2570, 3543, 4226, 5410, 6308, 7727, 403, 1407, 2449, 3376, 4478, 5402, 7043, 7971, 914, 1333, 2729, 3901, 4782, 6007, 6688, 7718, 571, 1403, 3006, 4152, 4849, 5899, 6786, 7664, 512, 2091, 3043, 3767, 4323, 6070, 6872, 7379, 684, 2091, 2717, 3374, 5127, 5684, 6752, 8195, 512, 2068, 3092, 3710, 4980, 6128, 7095, 8076, 684, 1833, 3021, 3932, 4912, 5678, 7157, 8260, 512, 1833, 2946, 3932, 4912, 5475, 7129, 8185, 132, 1804, 3092, 3803, 4980, 5767, 7077, 8185, 510, 1833, 2838, 3710, 4622, 6182, 6988, 8145, 512, 1833, 3043, 3886, 4912, 5901, 6709, 8237, 684, 1750, 2960, 3866, 4780, 5219, 6988, 8260, 510, 1869, 2542, 4171, 5060, 5832, 6972, 8179, 914, 1370, 3143, 3945, 5061, 5241, 6515, 7715, 132, 1847, 3060, 4068, 4870, 5832, 6996, 7723, 427, 1847, 3143, 4171, 4558, 6085, 6967, 7887, 401, 1175, 3143, 3188, 4215, 6085, 7222, 8080, 216, 1175, 3143, 3501, 4554, 5534, 6566, 8260, 262, 2095, 2360, 3732, 4414, 5994, 6707, 8135, 692, 1509, 2511, 4004, 4470, 5436, 7010, 7768, 1080, 1758, 2232, 3430, 4936, 5280, 6615, 7571, 547, 1586, 2934, 3711, 4691, 5372, 6410, 8252, 938, 1510, 2601, 3164, 4454, 5331, 6648, 7386, 1038, 2095, 3013, 4149, 4269, 5476, 7085, 8258, 545, 1570, 2716, 4149, 4978, 6068, 6544, 7825, 582, 1164, 2990, 4149, 4934, 6102, 6950, 8266, 986, 1608, 2565, 3709, 4934, 6097, 6765, 7752, 545, 2127, 2222, 3245, 5067, 6145, 7229, 7784, 582, 2024, 3091, 4015, 4220, 5615, 6657, 7442, 487, 1827, 2646, 4095, 4246, 5470, 6965, 7702, 986, 1726, 2946, 3272, 5145, 6086, 7154, 8189, 876, 1516, 2710, 3623, 4586, 5797, 6917, 7468, 770, 1518, 2380, 3360, 4881, 5387, 6918, 7712, 1051, 1378, 2271, 3601, 5130, 6222, 6254, 8107, 984, 1900, 2996, 4096, 4877, 5413, 6929, 7985, 475, 1961, 2746, 3240, 5106, 5705, 6752, 7720, 171, 1856, 2946, 3512, 5145, 5677, 7148, 7816, 100, 2065, 2346, 3220, 4600, 6054, 6742, 8254, 293, 1105, 2346, 3547, 4428, 5486, 6276, 8138, 673, 1535, 2514, 3981, 4943, 5344, 6308, 7534, 302, 1603, 2782, 3245, 4864, 5874, 7126, 7751, 161, 1183, 2325, 3474, 4392, 6021, 6629, 7663, 655, 1183, 2607, 4073, 4707, 5817, 7138, 8248, 368, 1183, 2940, 3466, 4707, 5660, 6521, 7910, 835, 1183, 2247, 3508, 4246, 5946, 6701, 7986, 802, 1503, 2304, 3254, 4542, 5884, 6619, 7979, 1006, 1199, 2692, 3304, 4573, 5813, 6901, 7336, 981, 1385, 2309, 3234, 4930, 5910, 6973, 8242, 401, 1777, 2340, 3389, 4908, 6070, 6859, 7256, 390, 1280, 2293, 3869, 5104, 5586, 6774, 8093, 804, 1770, 3006, 3811, 4512, 5883, 6786, 8083, 512, 1945, 2860, 3188, 4583, 6182, 7239, 8179, 132, 1175, 2858, 4011, 4387, 5687, 6850, 8237, 475, 1581, 3144, 3827, 5104, 5493, 6589, 7870, 390, 1750, 2803, 3990, 4859, 6087, 6694, 7806, 390, 2064, 3064, 3886, 4583, 5694, 6588, 7908, 1071, 1664, 2389, 4098, 4215, 5418, 7044, 7658, 160, 1998, 2727, 4055, 4222, 5983, 6787, 8261, 504, 1897, 2203, 3386, 4857, 6096, 6491, 7638, 802, 1469, 2766, 3376, 4857, 5994, 6376, 7924, 803, 1503, 2321, 3729, 4774, 5678, 6286, 8182, 314, 1199, 2705, 3770, 4335, 6023, 6229, 8109, 1080, 1655, 2887, 3178, 4928, 5453, 6456, 7536, 1080, 2047, 2777, 3770, 4864, 5653, 6609, 8270, 725, 1537, 2629, 3871, 4717, 5286, 6440, 7659, 153, 1421, 2870, 3851, 4788, 6166, 6934, 8002, 401, 1736, 3032, 3994, 5080, 6147, 7001, 8185, 304, 1509, 2780, 3616, 4387, 6175, 6648, 7631, 231, 1403, 2970, 4089, 4542, 6163, 7222, 8137, 886, 1543, 3116, 3655, 4840, 6217, 6566, 7810, 862, 2047, 3097, 3764, 4458, 5752, 6663, 8154, 381, 1120, 2830, 4137, 4446, 5387, 6309, 7812, 862, 1438, 2951, 3599, 4406, 5516, 6793, 7441, 234, 1849, 2725, 3305, 4571, 5727, 6328, 7743, 234, 1234, 2951, 3416, 4811, 6118, 6926, 7627, 844, 1938, 2414, 3300, 4934, 5974, 7232, 7764, 304, 1797, 2239, 3692, 5007, 5767, 6613, 7919, 304, 2063, 2970, 4097, 5159, 5767, 7132, 7764, 304, 1791, 2391, 3226, 4589, 6128, 6752, 8179, 390, 1581, 2833, 3777, 4529, 5883, 6884, 8083, 715, 1388, 2941, 3726, 4586, 5424, 6840, 8083, 613, 2079, 2288, 3407, 5157, 6154, 6810, 7682, 756, 1238, 2369, 3904, 4743, 5513, 6486, 8017, 756, 1218, 3038, 3710, 4555, 5981, 6607, 8227, 256, 1931, 2783, 4115, 4606, 5521, 6286, 8078, 878, 1809, 2398, 4151, 4737, 6149, 6604, 8205, 756, 1467, 3095, 4068, 4586, 5296, 6719, 7715, 448, 1597, 3008, 3838, 4555, 6123, 6614, 7515, 886, 1759, 2858, 3171, 4918, 5266, 6470, 7660, 888, 1682, 2729, 4082, 4474, 5497, 6720, 7799, 1028, 1971, 3077, 4137, 4457, 5600, 6573, 8133, 612, 2120, 2725, 4137, 4288, 6069, 6247, 7495, 681, 2118, 2562, 3463, 4664, 5927, 6224, 7502, 737, 2115, 2577, 3368, 4734, 5902, 6775, 8242, 1070, 1306, 2625, 3394, 4363, 5909, 7133, 7420, 1023, 1900, 2380, 3421, 4722, 5787, 6424, 7424, 363, 1140, 2194, 3393, 4326, 5387, 6724, 8012, 1023, 1318, 2725, 3322, 4858, 5581, 7133, 7365, 465, 1830, 2691, 3839, 4599, 5584, 6999, 7940, 884, 1982, 2992, 3851, 4321, 5362, 7081, 7804, 304, 1774, 2734, 3897, 4340, 5660, 6929, 7582, 304, 1683, 2151, 3887, 4595, 5432, 7130, 7872, 804, 1943, 2151, 4152, 5096, 6128, 7168, 7497, 1020, 1540, 2912, 3470, 4727, 6120, 7120, 7873, 1014, 1820, 3112, 4094, 4796, 5811, 6909, 7592, 1033, 1915, 3021, 3352, 4681, 6056, 6921, 8112, 487, 1773, 2872, 4085, 4900, 5904, 6614, 7488, 487, 1991, 2872, 4130, 4683, 5942, 6551, 7559, 487, 2048, 2872, 3648, 4567, 5810, 6892, 8137, 487, 1689, 2697, 3851, 4176, 5660, 7086, 8225, 487, 1140, 2492, 3586, 5176, 6118, 6958, 8144, 845, 2117, 2872, 3936, 4934, 6179, 6929, 7385, 807, 1689, 2789, 4054, 5130, 5783, 6231, 7679, 465, 1458, 2817, 3969, 5029, 5224, 6908, 7420, 582, 1930, 2346, 3848, 4839, 5831, 6773, 7799, 545, 1915, 2751, 3268, 5024, 6040, 6840, 8222, 545, 1167, 2830, 3421, 4890, 5929, 7046, 7318, 103, 1721, 2554, 3727, 4606, 6146, 6224, 7488, 103, 1978, 2490, 3276, 4267, 5797, 6677, 7761, 1090, 2008, 2544, 4026, 5145, 6146, 6772, 8146, 405, 1577, 2970, 3425, 5104, 5811, 6810, 7831, 512, 1620, 3021, 3752, 4430, 6211, 6671, 8076, 183, 1331, 2727, 4153, 5085, 5616, 6486, 7664, 118, 1945, 2941, 3994, 4648, 5781, 6684, 8193, 757, 1238, 2752, 3593, 4437, 5320, 6238, 7549, 1102, 1736, 3053, 3592, 4489, 5825, 6913, 7764, 91, 2125, 2975, 3894, 5192, 5844, 6732, 8233, 211, 1700, 2793, 3188, 4592, 5438, 7111, 7421, 390, 1581, 2754, 4135, 5115, 5749, 6376, 7290, 1071, 1700, 2860, 3440, 4822, 5573, 6668, 7594, 1071, 1428, 3072, 3916, 5139, 5469, 7114, 7985, 104, 1563, 3060, 3614, 5106, 5634, 7007, 7825, 299, 1986, 3092, 3167, 5188, 6073, 6847, 7991, 462, 1507, 2429, 3521, 4943, 5384, 6650, 7930, 462, 1507, 2401, 3395, 5188, 5768, 7229, 7852, 462, 1636, 2314, 3298, 4449, 6077, 6917, 7728, 613, 1636, 2678, 3442, 4887, 5704, 7232, 8132, 308, 1966, 2381, 3917, 4276, 5892, 6604, 7770, 899, 1452, 2369, 3918, 5106, 5767, 7103, 7528, 440, 1885, 2980, 4026, 4412, 5873, 6494, 7508, 901, 1676, 2232, 3253, 4727, 6058, 7012, 7831, 752, 2091, 3097, 3973, 4305, 6160, 6302, 7383, 117, 1550, 2271, 4095, 4354, 6187, 6224, 7885, 1083, 1550, 2531, 3525, 4949, 6187, 6883, 8129, 806, 1906, 2940, 3513, 4460, 5650, 6883, 7785, 807, 1388, 2346, 3665, 4191, 5982, 6614, 8029, 487, 1669, 2474, 3225, 4364, 5486, 6991, 8097, 325, 1550, 2797, 3225, 4529, 6068, 7043, 8037, 988, 1550, 2136, 3586, 4592, 5734, 6863, 7684, 839, 1797, 2717, 3460, 4377, 5734, 7053, 7741, 1071, 1382, 2860, 3994, 5138, 5824, 7075, 7513, 1025, 1850, 3089, 4080, 4966, 6014, 6692, 8266, 1035, 1238, 2783, 3464, 4277, 5539, 6520, 8066, 752, 1978, 2705, 3962, 4330, 5219, 6298, 7944, 160, 2063, 2924, 3342, 4727, 5908, 6710, 8114, 844, 1944, 2579, 4128, 4246, 5474, 7096, 7984, 708, 1326, 2402, 3993, 4338, 5729, 6663, 7940, 863, 1593, 2692, 3983, 4421, 5421, 6608, 7849, 750, 1550, 2579, 3717, 4239, 5474, 6507, 7707, 952, 1164, 2998, 3601, 5085, 5810, 6701, 7791, 160, 1178, 2740, 3417, 4644, 5349, 7010, 7962, 807, 1881, 2559, 3873, 4439, 5413, 7229, 8085, 487, 1887, 2608, 3993, 4330, 5509, 6944, 7930, 826, 1550, 2232, 3524, 4364, 5700, 6335, 7810, 545, 1700, 2422, 3838, 5144, 5734, 6619, 7873, 927, 2071, 3116, 4030, 4982, 6061, 6944, 7912, 576, 1943, 2992, 3480, 4321, 5279, 6286, 7759, 317, 1809, 2989, 3904, 4555, 5656, 6708, 8163, 225, 2021, 2803, 3470, 4945, 6007, 6663, 8260, 317, 1519, 2444, 3555, 4588, 5548, 6348, 7887, 231, 1946, 2167, 3900, 5016, 5810, 6827, 7252, 613, 1461, 2550, 4143, 4902, 6002, 7024, 7318, 1102, 1510, 2943, 3555, 4756, 6000, 7111, 7627, 645, 1986, 3026, 3771, 4971, 5894, 6348, 7336, 211, 1566, 2254, 3918, 4834, 5534, 7162, 8080, 424, 1797, 3038, 3987, 5115, 5982, 6655, 7574, 750, 1146, 2396, 4093, 4339, 5320, 7120, 8189, 831, 1867, 2708, 4098, 4755, 6085, 7111, 8185, 424, 1577, 2221, 3732, 4186, 5850, 7193, 7303, 614, 1562, 3143, 3995, 4215, 5749, 6633, 8009, 802, 1881, 2639, 3856, 4514, 6077, 7078, 7948, 930, 1736, 2136, 3249, 4945, 6104, 6903, 8128, 806, 1758, 2242, 4067, 4623, 5973, 6239, 7538, 487, 2079, 3147, 3710, 4762, 6163, 6591, 7250, 545, 1283, 2453, 3986, 4671, 5800, 6611, 7288, 516, 1186, 2369, 3986, 5098, 5298, 6740, 7799, 986, 1905, 2987, 3843, 4364, 5719, 6889, 7318, 317, 1577, 2987, 3771, 4949, 6135, 7096, 7648, 663, 1858, 2858, 3789, 4298, 5462, 6325, 7476, 571, 1554, 2355, 3485, 4225, 5981, 6677, 7962, 684, 1519, 2741, 3537, 4800, 5504, 6273, 7828, 914, 1281, 3008, 3726, 4555, 5719, 6809, 7927, 956, 1804, 3021, 3226, 4265, 5580, 6668, 8179, 818, 1804, 2946, 3945, 4512, 5705, 7226, 8261, 915, 1623, 2554, 3914, 4888, 5550, 7201, 7766, 105, 2097, 3064, 3866, 5134, 5678, 6604, 8267, 105, 1750, 3065, 3550, 4762, 5219, 6579, 7865, 183, 2114, 3021, 4026, 4737, 6015, 6671, 7715, 568, 1706, 2717, 3555, 4549, 5493, 7160, 8236, 118, 1289, 2942, 3838, 4459, 5840, 6810, 7973, 183, 2106, 3144, 3225, 4611, 5678, 7160, 7799, 568, 2013, 2717, 3771, 4611, 5215, 6338, 8046, 568, 2013, 3021, 3803, 4228, 5677, 7100, 7985, 568, 1954, 2802, 3172, 4937, 5283, 6724, 8056, 183, 1623, 3021, 3550, 4700, 5918, 7163, 7570, 183, 2034, 2454, 3879, 4615, 5514, 7232, 7480, 118, 1286, 2440, 3851, 4878, 5350, 6579, 7291, 757, 2127, 2432, 4068, 5124, 5549, 6333, 8093, 118, 1286, 3021, 4006, 4855, 5935, 7232, 7260, 568, 1876, 2585, 3857, 4877, 5400, 6833, 7929, 183, 1905, 3021, 3648, 4993, 5580, 7160, 7811, 568, 1623, 2560, 4096, 5138, 5650, 6383, 7483, 757, 2034, 2230, 4168, 5143, 5901, 7232, 7542, 183, 2034, 2683, 4096, 4737, 6149, 6892, 7264, 617, 2034, 2432, 3407, 4512, 5385, 7090, 7485, 105, 1269, 3021, 3277, 4681, 5218, 7160, 7557, 859, 1961, 2454, 3803, 4512, 5385, 6996, 7831, 555, 2111, 3021, 3407, 4512, 6137, 6515, 7664, 555, 1623, 2833, 3803, 4681, 5811, 7226, 7303, 915, 1623, 3021, 3838, 5053, 5635, 6988, 7876, 818, 1648, 3021, 4071, 4624, 5241, 6996, 8196, 818, 1623, 2914, 3825, 4624, 5981, 6584, 7715, 818, 1648, 2914, 3893, 4622, 6139, 6996, 8237, 915, 1623, 2729, 3367, 4798, 5981, 7226, 8223, 4, 2 ]
[ 1, 66, 16, 42, 33, 31, 35, 5, 76, 45, 31, 5, 16, 5, 41, 77, 73, 5, 17, 75, 5, 31, 33, 63, 5, 77, 17, 55, 5, 16, 51, 76, 39, 54, 66, 16, 54, 64, 44, 78, 5, 5, 3, 142, 2017, 2914, 4174, 4704, 6186, 7168, 8147, 915, 2111, 2886, 3914, 4762, 5901, 6515, 7949, 488, 1648, 3117, 3367, 4624, 5901, 7124, 8196, 488, 1648, 2806, 3893, 4624, 6139, 7226, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 421, 1865, 2487, 4165, 5150, 5934, 6614, 7473, 568, 2111, 3006, 4128, 4423, 5481, 6347, 7844, 731, 1283, 2759, 3648, 4470, 6118, 6816, 7939, 318, 1566, 2629, 4003, 4733, 5642, 6820, 8149, 761, 1771, 2946, 3822, 4855, 5863, 7012, 7899, 826, 1773, 2870, 4162, 4902, 5993, 7094, 7367, 955, 1791, 2791, 4082, 4845, 5262, 7004, 7827, 211, 1966, 2573, 3391, 4829, 5661, 7017, 7816, 684, 1577, 2940, 3909, 4533, 5586, 7168, 7664, 914, 1945, 3043, 4108, 4622, 5210, 6515, 8237, 684, 1508, 2943, 3710, 5061, 5612, 6988, 7421, 421, 2060, 2717, 4147, 4321, 6170, 7119, 7525, 986, 1567, 2583, 3327, 4709, 5298, 6849, 8073, 766, 1808, 2346, 3396, 4641, 5800, 6438, 7868, 774, 2034, 2346, 3644, 4546, 6165, 6307, 8086, 774, 1283, 3116, 3237, 4678, 5696, 6441, 8039, 774, 1653, 2725, 3328, 4598, 5537, 6348, 7536, 738, 1653, 2720, 3670, 5074, 5935, 7233, 7321, 856, 1835, 2346, 3749, 4756, 6034, 7131, 7291, 678, 2059, 2793, 3266, 4582, 5684, 6335, 7519, 779, 1924, 2868, 3413, 5058, 5584, 6709, 7659, 859, 1675, 2244, 4085, 4573, 5543, 6588, 8107, 878, 1939, 2926, 3936, 4814, 5734, 6734, 7753, 715, 1139, 3006, 3987, 4762, 5810, 6671, 7538, 1024, 2059, 2346, 3766, 4363, 6142, 6487, 7710, 888, 1141, 2890, 3986, 5090, 5498, 6373, 8114, 981, 1934, 2741, 3246, 4350, 5552, 6849, 7793, 1035, 1653, 2258, 3496, 4547, 5209, 6574, 7366, 610, 1275, 2787, 3885, 4727, 6080, 7025, 7793, 887, 1255, 3140, 4097, 4636, 5697, 6969, 7781, 850, 1637, 2641, 3962, 5165, 5978, 6980, 7677, 610, 1577, 3095, 3684, 4939, 5874, 6579, 7816, 1090, 1120, 3121, 3776, 5080, 5543, 6344, 7895, 610, 1275, 2194, 3420, 4282, 5740, 7218, 8185, 1090, 1686, 2776, 3240, 4530, 5684, 7219, 7776, 970, 1663, 2944, 3756, 4570, 5909, 7218, 7513, 938, 2084, 2515, 3751, 4361, 5984, 6910, 8139, 862, 1596, 2868, 3751, 4723, 6176, 6625, 7676, 1052, 1653, 2561, 3870, 5049, 6221, 6348, 8197, 1056, 1139, 2667, 3929, 4225, 5432, 6241, 7318, 684, 1885, 2720, 3664, 4801, 5892, 6348, 7436, 901, 1257, 2627, 3811, 5018, 5706, 6604, 7927, 878, 1918, 3098, 3918, 4785, 5344, 6605, 7855, 752, 1141, 2163, 3214, 4179, 5824, 7232, 8245, 1035, 1691, 2868, 3801, 4747, 5714, 6840, 7892, 893, 2117, 3137, 3600, 4446, 5799, 6692, 7873, 893, 1199, 2963, 4072, 4731, 6119, 6267, 7978, 750, 1145, 2232, 3405, 4571, 5684, 6539, 7794, 518, 1918, 3064, 3555, 4881, 6180, 6716, 7941, 518, 1389, 2729, 3595, 4423, 5378, 6716, 7355, 518, 1913, 2947, 3857, 4592, 5259, 6996, 7723, 440, 2073, 2677, 3827, 4275, 5650, 7218, 7365, 440, 2106, 2154, 3225, 5120, 6070, 6589, 8195, 878, 2111, 3064, 3866, 5197, 5811, 6306, 7509, 518, 1620, 2560, 3803, 5165, 5581, 6840, 7959, 518, 1976, 3062, 3555, 4622, 5360, 7023, 8126, 568, 1623, 2989, 3359, 4870, 6052, 6966, 7932, 617, 2127, 2341, 3827, 4304, 5609, 6799, 7822, 617, 1286, 3144, 3352, 4790, 5219, 7220, 7743, 914, 1577, 2771, 3963, 4555, 5746, 6540, 7421, 160, 2033, 2601, 3943, 4900, 5694, 6348, 7996, 160, 1692, 2895, 3764, 4696, 5212, 6632, 7311, 807, 1754, 2601, 3939, 4934, 5445, 6642, 8048, 936, 1586, 2166, 3943, 5019, 6118, 6553, 7558, 1025, 1809, 2548, 3543, 4606, 5384, 6566, 8172, 826, 1275, 2564, 3770, 4777, 5764, 6966, 7750, 104, 1878, 2564, 3430, 4376, 5893, 6970, 8178, 641, 1682, 2847, 3732, 4204, 6198, 6415, 7954, 424, 1499, 2803, 3314, 5096, 5604, 6859, 7955, 104, 1873, 3095, 3829, 4859, 5574, 6730, 7722, 1025, 1727, 3122, 3769, 5145, 5227, 7149, 7976, 1035, 1670, 3040, 4105, 4781, 5888, 6736, 7846, 826, 2061, 2347, 3915, 5023, 5917, 6746, 7969, 150, 2061, 2977, 3195, 5031, 5716, 6607, 7659, 150, 2050, 2658, 4015, 4445, 6019, 6680, 7508, 876, 2050, 2389, 3894, 5023, 5431, 7233, 8189, 1008, 1199, 2503, 3162, 4991, 5325, 6477, 8151, 1024, 1199, 2715, 3249, 4595, 5898, 7017, 7865, 1022, 1840, 2399, 4151, 5100, 6022, 6583, 8050, 645, 1338, 2137, 3418, 4442, 5838, 6976, 7904, 610, 1141, 2931, 3454, 4729, 5804, 7069, 7948, 756, 2093, 2868, 3934, 4519, 5983, 7028, 7451, 804, 1992, 2960, 4011, 5183, 5830, 6967, 7876, 899, 1238, 2989, 3671, 4398, 5981, 6740, 7821, 1037, 1597, 2895, 3932, 4470, 5218, 7140, 8245, 980, 1560, 2503, 4174, 5128, 5521, 6884, 7962, 756, 1233, 3053, 3961, 4855, 5296, 6614, 7750, 572, 1675, 2606, 4153, 4860, 5657, 7122, 7901, 547, 1472, 2288, 3309, 5157, 5825, 6510, 7865, 702, 1421, 2346, 3182, 4813, 6075, 6899, 8205, 668, 2079, 2487, 3421, 4751, 5665, 6919, 7312, 569, 1706, 2487, 3298, 4991, 5510, 6345, 7318, 992, 1397, 2559, 3943, 5001, 5480, 6574, 8188, 692, 1653, 2771, 3968, 4814, 5490, 6242, 8070, 802, 1570, 2987, 3723, 5015, 5793, 6800, 8079, 880, 1323, 2346, 3605, 4415, 5703, 6859, 8128, 569, 1286, 2987, 3910, 4796, 6056, 6410, 8174, 806, 1586, 2705, 3487, 5074, 5574, 6623, 7445, 1038, 1653, 2371, 4080, 5169, 5441, 6767, 7386, 614, 1586, 2222, 3268, 4966, 5613, 7135, 7902, 487, 1816, 2355, 3851, 4213, 6193, 6944, 8139, 487, 1924, 2402, 3770, 4948, 5733, 7043, 8205, 986, 1771, 2692, 3305, 5031, 5637, 6900, 8235, 545, 2079, 2692, 3570, 4949, 5743, 6370, 7383, 610, 1906, 2783, 3300, 4920, 5276, 7052, 7887, 1090, 1206, 2520, 3358, 4920, 5588, 6749, 8245, 955, 1876, 2795, 3500, 4716, 5811, 6815, 7496, 1037, 1906, 2787, 3543, 4696, 5574, 7222, 7887, 980, 1928, 2941, 4043, 4764, 5893, 6840, 7476, 1059, 1834, 3062, 3472, 4629, 5745, 6918, 7887, 807, 1562, 2309, 3943, 4213, 5979, 6818, 7794, 862, 1118, 2346, 3851, 4971, 5950, 6625, 7902, 572, 2086, 2487, 3844, 4255, 5671, 6571, 7737, 1028, 2057, 2271, 3551, 5023, 5594, 6262, 7888, 569, 1346, 2845, 4053, 4678, 6101, 6344, 7823, 974, 1415, 2395, 3486, 5094, 5898, 7120, 7385, 778, 1398, 2583, 3921, 4848, 5741, 6481, 8128, 335, 2063, 2440, 4067, 4267, 5457, 6469, 7401, 424, 2091, 2440, 4078, 5019, 5624, 6840, 7900, 1035, 1141, 2463, 4004, 4556, 6172, 6603, 7797, 1090, 1141, 3039, 3910, 4733, 5765, 6959, 8026, 424, 1876, 2945, 3961, 4536, 6084, 6528, 8267, 850, 1858, 2330, 4096, 4690, 6166, 6315, 8171, 831, 1858, 2865, 3955, 4747, 5430, 6458, 7255, 293, 1660, 2565, 3603, 4802, 5605, 6422, 7954, 104, 1139, 2664, 3456, 4489, 6076, 6313, 8038, 1035, 1510, 2529, 3788, 5144, 5443, 6674, 8216, 752, 1832, 2655, 3533, 5157, 5957, 6684, 8266, 1090, 1455, 2293, 3351, 5169, 5835, 6348, 8241, 1037, 1587, 2293, 3488, 4529, 5310, 6799, 7664, 956, 1175, 2991, 3671, 4888, 5296, 7084, 7570, 818, 1467, 3135, 3440, 4980, 5705, 6515, 7421, 818, 2041, 2925, 3516, 4630, 6139, 7226, 7949, 818, 1992, 2803, 4011, 5080, 6205, 6794, 7949, 818, 1528, 3006, 3825, 5058, 6195, 7201, 8066, 956, 1218, 3117, 3710, 5058, 5241, 6786, 8185, 296, 1334, 2759, 3780, 4282, 5643, 6415, 7260, 1094, 1196, 2965, 3667, 5025, 5390, 6756, 8154, 833, 2045, 2383, 3975, 4583, 5598, 6962, 7644, 223, 1460, 3053, 4027, 5165, 5824, 6613, 8126, 806, 1660, 3140, 3176, 4891, 6016, 6687, 7363, 974, 1178, 2894, 3853, 4751, 5665, 7057, 8159, 399, 2075, 2581, 4079, 4364, 6135, 6991, 8148, 1040, 1252, 2762, 3913, 4723, 5447, 6275, 7483, 880, 1561, 2566, 4067, 4321, 6180, 6617, 8000, 881, 1118, 2945, 3366, 4652, 5778, 6816, 7946, 487, 1653, 2817, 3358, 5111, 5637, 6532, 7869, 902, 1118, 2346, 3396, 4775, 5202, 6654, 8117, 391, 1994, 2346, 3350, 4913, 5957, 6543, 8027, 487, 2083, 2309, 3943, 4681, 5776, 6606, 7618, 335, 1455, 2593, 4137, 5000, 5610, 6625, 7791, 390, 1147, 2480, 3908, 4362, 6135, 7023, 7305, 756, 1948, 2167, 3857, 4611, 5968, 6954, 7303, 513, 1186, 3097, 3957, 4374, 5778, 6626, 8126, 756, 2021, 3095, 3771, 5083, 5493, 6579, 7248, 750, 1623, 3007, 3595, 5138, 5771, 6810, 8086, 650, 1606, 2369, 4015, 5142, 5624, 6256, 7846, 1071, 1570, 2316, 3840, 5110, 5360, 6917, 7973, 1035, 1570, 2715, 4106, 4426, 5339, 6292, 8066, 1003, 1570, 2326, 3788, 4952, 6065, 6913, 7894, 806, 1935, 2156, 3970, 4513, 5793, 7232, 8227, 614, 1363, 3091, 3516, 4694, 5933, 6343, 7858, 424, 1238, 3053, 3402, 4430, 5981, 6871, 8083, 1090, 1335, 2701, 4067, 4440, 5883, 7019, 7748, 610, 1330, 3043, 3361, 5166, 5641, 7120, 8066, 390, 1139, 2254, 3188, 4555, 5797, 6918, 7631, 228, 1905, 2326, 3857, 4890, 6213, 6296, 7778, 654, 1742, 2398, 3789, 4289, 5514, 6371, 8261, 195, 2077, 3068, 3595, 4863, 5530, 7100, 7490, 195, 1935, 3144, 3550, 5120, 5719, 6576, 8076, 654, 2106, 2833, 4125, 5038, 5218, 7168, 7537, 654, 2106, 2839, 3786, 5150, 5210, 7090, 7677, 256, 1623, 2221, 3914, 4304, 6205, 6584, 7887, 390, 1946, 2980, 4069, 5168, 5586, 6671, 8066, 160, 1441, 2327, 3762, 4289, 6002, 6372, 7891, 1040, 1570, 3074, 3728, 4887, 5285, 6870, 8015, 807, 1421, 2814, 4015, 4708, 5814, 6702, 7415, 839, 1472, 3074, 3372, 4926, 5519, 6756, 7419, 920, 1881, 3074, 3613, 4664, 5706, 6919, 7785, 104, 1570, 3040, 3631, 4872, 5325, 6783, 7386, 880, 1350, 2830, 3824, 4848, 5960, 6314, 8209, 881, 1570, 2587, 3485, 4709, 5390, 7243, 7736, 806, 1570, 2137, 3480, 4598, 5584, 7063, 7984, 807, 2114, 2559, 3298, 4236, 5734, 7225, 8139, 309, 1323, 2514, 3251, 4510, 5366, 7082, 7534, 576, 1421, 2951, 3305, 4604, 6215, 7013, 7773, 654, 1683, 2341, 3822, 4945, 5521, 6815, 7364, 654, 2041, 2992, 3904, 4762, 5787, 6909, 7980, 654, 1370, 3035, 3395, 4863, 5697, 7129, 7349, 654, 1345, 2924, 3555, 5168, 5944, 6898, 7887, 225, 1575, 2669, 3914, 4459, 5550, 6519, 8070, 256, 1752, 2469, 3376, 5160, 5333, 6991, 8076, 552, 1750, 2918, 3407, 5104, 5296, 6589, 7865, 818, 1622, 3095, 3550, 4870, 5514, 7168, 7806, 419, 1750, 2806, 3550, 4888, 5514, 7132, 8080, 419, 1750, 2221, 4071, 4624, 5296, 7006, 8164, 915, 1648, 3065, 3827, 4555, 5677, 6996, 8147, 4, 2 ]
[ 1, 41, 63, 14, 54, 64, 5, 76, 11, 78, 5, 76, 26, 30, 5, 16, 76, 39, 51, 5, 31, 16, 5, 54, 33, 51, 64, 66, 5, 53, 20, 63, 54, 44, 55, 5, 5, 3, 256, 1597, 2998, 3233, 5060, 6131, 6466, 7865, 952, 1851, 2938, 3440, 4607, 6218, 7046, 7363, 1057, 1966, 2348, 4093, 4548, 5768, 6243, 7918, 283, 2048, 2544, 3635, 4332, 6078, 6614, 7329, 83, 1250, 2334, 3292, 4442, 5565, 6741, 7634, 631, 1883, 2332, 3423, 5144, 6053, 6376, 7752, 491, 1212, 3066, 3793, 5144, 5251, 6763, 7991, 883, 1728, 3040, 4072, 5065, 5803, 6828, 7450, 221, 1402, 3030, 3944, 5124, 5938, 6447, 7378, 179, 1826, 2727, 4007, 4285, 5547, 6820, 8081, 1101, 1507, 2981, 3741, 4564, 5218, 6598, 8100, 363, 2099, 2987, 3989, 4675, 5357, 6905, 8139, 737, 2099, 2718, 4066, 5198, 6176, 6498, 7371, 730, 1356, 2861, 4015, 5148, 5587, 7150, 7299, 249, 1110, 2175, 3952, 4571, 5807, 6277, 7531, 386, 1938, 3105, 3997, 4983, 5454, 6442, 8200, 678, 1566, 2953, 4120, 4687, 5873, 6732, 7873, 401, 1268, 3080, 3880, 4536, 5705, 6996, 7895, 223, 2095, 2349, 3981, 4882, 5565, 6871, 7726, 731, 2095, 3080, 3776, 5075, 5444, 6776, 7508, 678, 1668, 2315, 4082, 4533, 5749, 7160, 7927, 453, 1265, 2943, 3943, 4638, 5574, 7168, 7856, 654, 1826, 3007, 3188, 4764, 6166, 6818, 8260, 654, 1804, 2729, 3866, 4870, 5515, 7090, 8179, 568, 1237, 2469, 3564, 4844, 5568, 7018, 8036, 617, 2002, 2858, 3680, 4555, 5436, 6749, 7303, 617, 1496, 2560, 3183, 4764, 5700, 7067, 8107, 617, 1833, 2858, 3891, 5160, 5963, 7168, 7707, 484, 1705, 3144, 3963, 4764, 6204, 6688, 7865, 335, 1668, 2860, 3956, 5080, 6182, 6752, 7607, 1067, 1972, 2743, 3931, 4206, 6206, 7112, 8137, 1009, 1545, 3151, 3756, 4565, 5500, 6469, 7813, 556, 1415, 2741, 3986, 4224, 5889, 6886, 7763, 632, 1509, 2693, 4015, 4883, 5795, 7001, 7904, 668, 1171, 2693, 3695, 4364, 6204, 6736, 8094, 613, 1554, 3020, 3245, 4811, 5899, 6723, 8061, 576, 2036, 2429, 3865, 4942, 5904, 6840, 7429, 228, 1523, 2293, 4143, 4181, 5793, 6607, 8205, 228, 1175, 2554, 3879, 4551, 5276, 7237, 7386, 317, 2059, 2734, 3627, 4846, 5962, 6566, 7669, 171, 1308, 2980, 3391, 4470, 5276, 6584, 7992, 980, 2097, 2858, 4006, 4651, 5923, 6850, 7959, 779, 1660, 2820, 3918, 4186, 5220, 6655, 8070, 308, 1943, 2838, 4071, 4588, 6111, 7132, 7570, 684, 2046, 2754, 3916, 4554, 5824, 7090, 8016, 390, 1933, 2925, 4085, 4533, 6129, 6996, 8076, 980, 1369, 2746, 3961, 4551, 5650, 7239, 8179, 610, 1893, 2932, 3816, 4257, 5332, 7047, 7791, 277, 2033, 2764, 3343, 5152, 6112, 6941, 7695, 368, 1469, 2154, 3229, 4910, 6104, 6241, 8222, 1050, 1469, 2786, 3403, 4506, 6194, 6456, 7952, 1050, 2110, 2963, 3700, 4506, 6202, 7134, 8255, 875, 1179, 2137, 3431, 5176, 5847, 7131, 7800, 472, 1393, 2869, 3389, 4364, 6020, 6263, 8269, 1070, 1212, 2459, 3194, 4364, 5816, 7088, 7670, 810, 1296, 2497, 4059, 5086, 5284, 6318, 7974, 1041, 1402, 2529, 4009, 4735, 6130, 6315, 8131, 876, 1286, 3121, 3600, 4804, 5874, 7094, 7870, 123, 1732, 2585, 3775, 4321, 5765, 6970, 7774, 344, 1732, 2309, 3767, 4367, 6184, 6674, 8046, 390, 1533, 2839, 3649, 5138, 5548, 6734, 8257, 1056, 1675, 2729, 3987, 5088, 6025, 7006, 8076, 707, 1685, 2139, 3975, 4966, 5486, 6624, 7986, 936, 1555, 3003, 3911, 4279, 5478, 7095, 7627, 936, 1555, 2309, 3167, 4337, 5450, 6623, 7741, 299, 1838, 3005, 3482, 5023, 5338, 6550, 7524, 150, 1469, 3091, 3386, 4734, 5773, 6452, 7954, 826, 1814, 2894, 3394, 4748, 5886, 6891, 7693, 610, 1104, 2554, 3584, 4690, 5886, 6472, 7393, 887, 1499, 2359, 4164, 5075, 5797, 6884, 8079, 955, 1620, 2679, 4115, 4662, 6025, 7132, 7361, 610, 1146, 2641, 4018, 4420, 5515, 6750, 7876, 1024, 1581, 3143, 3685, 4602, 5534, 7231, 7312, 895, 1477, 2923, 3950, 4337, 5716, 6710, 8006, 876, 1635, 2482, 3937, 4976, 6119, 6286, 7836, 1019, 1171, 2987, 3613, 5070, 6165, 7043, 7405, 807, 1832, 3116, 3756, 4482, 5264, 6563, 7365, 465, 1397, 2601, 3792, 4873, 5953, 6474, 7492, 487, 1924, 2543, 4162, 4571, 6118, 6340, 7702, 487, 1668, 2610, 3842, 4555, 5454, 7222, 7973, 940, 1550, 2436, 3662, 5134, 5466, 7229, 7826, 308, 1858, 2730, 3982, 5080, 6103, 6810, 7558, 914, 1876, 2144, 3226, 4630, 6146, 7218, 7557, 427, 1915, 3021, 4011, 5139, 6085, 7218, 8132, 899, 1147, 2591, 3891, 4344, 5436, 6709, 7664, 256, 1856, 2833, 3359, 4427, 5300, 6749, 7291, 153, 1684, 3064, 3886, 5083, 6165, 6604, 8107, 552, 2056, 3135, 3891, 4611, 5514, 7218, 7887, 186, 2111, 3095, 3891, 5104, 5219, 7120, 8185, 186, 1620, 2746, 3680, 5007, 6129, 6786, 7806, 818, 1648, 2781, 3886, 5061, 6186, 6979, 7485, 914, 1869, 3135, 3710, 5058, 5219, 6972, 7908, 1099, 1508, 3065, 3982, 5104, 6051, 7077, 7876, 571, 1523, 3098, 4108, 5139, 5586, 7218, 7887, 271, 1596, 2340, 3994, 4419, 5413, 6898, 7547, 314, 1596, 2678, 4073, 4364, 6180, 6421, 8022, 1023, 1828, 3066, 3600, 4205, 5305, 6724, 8095, 363, 2061, 2727, 3479, 4205, 5595, 7001, 8131, 1101, 1440, 2282, 3979, 5034, 5643, 6648, 7538, 610, 1331, 2149, 4025, 4439, 5202, 7133, 7384, 643, 1717, 2803, 3901, 4859, 5661, 7003, 7574, 150, 1255, 2462, 3922, 5124, 5297, 7003, 7387, 1025, 1918, 2863, 3472, 4541, 6004, 6576, 8058, 737, 1938, 2480, 4015, 4467, 6002, 6292, 8200, 536, 1438, 2725, 3213, 4351, 5512, 6847, 8050, 536, 1550, 2589, 3429, 4734, 5341, 7059, 7929, 952, 1942, 2659, 3778, 4604, 5555, 7215, 8189, 103, 1455, 3029, 3513, 5005, 5773, 6426, 7474, 779, 1330, 2369, 4145, 4859, 5767, 6349, 8117, 555, 1684, 2803, 4041, 4762, 5883, 6467, 8132, 967, 1804, 3026, 3827, 5129, 5472, 7002, 7717, 356, 1961, 2991, 3518, 5115, 5438, 7019, 8179, 183, 1147, 2709, 3446, 4836, 5730, 6338, 7254, 334, 1570, 2729, 3297, 5125, 5892, 6365, 7677, 225, 1719, 2693, 3518, 4606, 5840, 7201, 7941, 240, 2118, 3144, 4021, 4934, 6110, 7218, 7865, 789, 2111, 2970, 3470, 5138, 5223, 7006, 7715, 915, 2017, 2473, 3470, 4630, 5678, 7120, 7831, 419, 2017, 2806, 3827, 5088, 6129, 6604, 7303, 256, 1264, 2542, 3761, 4512, 5719, 7090, 8126, 568, 2017, 2554, 3394, 4890, 5705, 7091, 7753, 684, 2097, 2886, 4018, 4512, 5981, 6475, 7846, 304, 2000, 2754, 3961, 4374, 5366, 6566, 7336, 160, 1915, 2944, 3709, 4780, 5614, 6755, 7383, 778, 1755, 2429, 3929, 4859, 5216, 6688, 7290, 887, 1227, 2282, 4097, 4691, 5811, 6566, 8080, 104, 1935, 3149, 3457, 4982, 5350, 6605, 7768, 363, 1469, 2134, 3779, 4288, 6184, 7152, 8231, 536, 1469, 2782, 3954, 5128, 5658, 6579, 8149, 104, 1727, 3040, 4034, 4677, 5650, 6798, 8127, 113, 1469, 2336, 3601, 4570, 5989, 6537, 7869, 1030, 1117, 3040, 3519, 4364, 5465, 6694, 7925, 895, 1156, 2562, 3561, 4364, 5447, 7232, 7592, 271, 1751, 3040, 3940, 5110, 6210, 6935, 7559, 1057, 1672, 2391, 3421, 4653, 5423, 6414, 7262, 333, 2036, 2595, 4095, 4751, 5999, 7246, 7994, 113, 1512, 2336, 3361, 4327, 5457, 6507, 7535, 465, 1463, 3104, 3909, 4993, 5887, 6392, 8178, 850, 1545, 2656, 4096, 4187, 5852, 6520, 8140, 424, 1269, 2520, 3963, 4470, 5914, 6492, 7363, 850, 1633, 2436, 3901, 5115, 6044, 6642, 7476, 778, 1510, 2139, 4162, 4439, 5700, 6763, 7890, 880, 2118, 2902, 3394, 4530, 5506, 6723, 7858, 139, 1732, 2925, 3517, 4321, 6171, 7148, 7924, 404, 1550, 2751, 3750, 4534, 6117, 6995, 7442, 807, 1773, 2751, 3565, 4448, 5942, 7229, 8022, 545, 1146, 2440, 4072, 4526, 5460, 6588, 7488, 1025, 1296, 2661, 3968, 4764, 5277, 6828, 7971, 643, 1773, 3118, 3232, 4859, 5379, 6803, 8163, 887, 1858, 2727, 4096, 4849, 5864, 6430, 7256, 610, 1269, 3037, 4094, 4609, 5641, 6871, 8209, 940, 1682, 2946, 3895, 4981, 5413, 7207, 8085, 304, 1721, 2726, 3271, 5075, 5289, 6734, 7723, 211, 1924, 2899, 4145, 4573, 6211, 6467, 7631, 308, 1562, 2838, 4085, 5038, 6129, 6771, 8172, 1099, 1467, 2880, 4085, 4822, 6211, 7218, 8179, 818, 1648, 3128, 3825, 5104, 5832, 6972, 8267, 818, 2017, 2838, 4174, 4980, 6129, 7124, 7949, 818, 1620, 3117, 3367, 4980, 6129, 7124, 7723, 488, 1528, 3043, 3982, 4624, 6139, 7239, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1528, 2164, 3825, 5038, 5705, 7239, 8237, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 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, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2858, 3893, 5079, 6186, 6794, 8126, 186, 1648, 2858, 3932, 4798, 5635, 6996, 7723, 488, 1648, 2914, 3893, 4512, 5219, 6794, 8237, 488, 1648, 2806, 3893, 4624, 6139, 7226, 8196, 4, 2 ]
[ 1, 16, 54, 30, 5, 26, 5, 67, 45, 55, 51, 5, 77, 73, 5, 16, 54, 30, 5, 26, 5, 76, 45, 52, 5, 64, 66, 14, 54, 30, 5, 14, 78, 5, 42, 69, 30, 5, 16, 5, 29, 14, 54, 64, 5, 14, 78, 5, 33, 54, 47, 5, 17, 75, 5, 31, 33, 53, 5, 5, 3, 142, 1648, 2914, 3825, 4704, 6211, 6752, 8147, 488, 1648, 2914, 3893, 4798, 6186, 6752, 8223, 488, 1648, 2914, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3893, 4704, 6186, 7226, 8196, 488, 1844, 2949, 4108, 4798, 5612, 7077, 7766, 818, 1191, 2164, 4108, 4366, 6081, 7124, 7723, 213, 1750, 3065, 3367, 4798, 6186, 7124, 7766, 940, 1560, 2833, 4174, 5060, 5942, 6889, 7846, 346, 1286, 2460, 3648, 4800, 5482, 6802, 8167, 612, 1597, 2951, 3743, 4813, 6034, 6346, 7618, 616, 1140, 3116, 3943, 4747, 5202, 6609, 8081, 752, 1581, 3033, 3413, 4592, 5697, 6704, 7397, 104, 2033, 2436, 3821, 4693, 5678, 6478, 7590, 104, 1255, 2661, 3271, 4872, 5749, 6830, 7881, 545, 1335, 2128, 3770, 4844, 5459, 6850, 8262, 1103, 1140, 2678, 3279, 5031, 5610, 6917, 7776, 1018, 1653, 2725, 3366, 5176, 5585, 6706, 8200, 647, 1653, 2363, 3835, 5062, 5325, 6783, 7502, 442, 1728, 2355, 3421, 4800, 6200, 6263, 7709, 665, 1689, 2953, 3460, 4314, 5742, 6409, 7337, 569, 1588, 2271, 3988, 4800, 6019, 7028, 8028, 806, 1140, 2487, 3639, 4896, 5204, 6943, 8092, 459, 1140, 2487, 3454, 4604, 5739, 6497, 7695, 863, 1677, 2355, 3788, 4800, 5510, 6991, 7627, 789, 2041, 2391, 3891, 4467, 5294, 7017, 8076, 878, 1976, 2783, 3277, 4844, 6131, 6874, 7297, 901, 1963, 2359, 3361, 5138, 5978, 7220, 7895, 955, 1304, 2833, 3975, 4737, 5474, 6810, 8209, 803, 1266, 2327, 3855, 5165, 6179, 6242, 7488, 1043, 1286, 2415, 3298, 4853, 6010, 6386, 7869, 737, 2117, 2717, 4072, 4927, 5818, 7043, 7376, 807, 1388, 2655, 4072, 4911, 5613, 6910, 7250, 614, 1706, 3033, 3756, 4364, 6145, 6655, 7959, 955, 1809, 2941, 3316, 4374, 5874, 6444, 7902, 211, 1931, 2809, 4005, 5138, 5695, 7157, 7555, 804, 1992, 2661, 3645, 4287, 5573, 6655, 7732, 356, 1885, 2975, 3951, 4633, 5797, 7149, 8263, 1020, 1436, 3079, 3314, 4588, 5838, 6493, 7936, 955, 1519, 2470, 3776, 4607, 5934, 6850, 7865, 986, 1630, 2352, 3358, 4795, 6119, 6397, 7920, 487, 1688, 2257, 3410, 4795, 5485, 6851, 7920, 545, 1504, 2595, 4095, 5011, 5565, 6790, 7538, 1006, 1832, 2595, 4043, 4753, 5678, 6612, 8203, 722, 1299, 3091, 3487, 4650, 6063, 6637, 7293, 1064, 1814, 2389, 3376, 4702, 5981, 6925, 7260, 1016, 1529, 2740, 3970, 5027, 5321, 7163, 7908, 722, 1913, 2999, 3300, 4715, 5405, 6481, 7976, 722, 1770, 2309, 3379, 4866, 5944, 6735, 7442, 1064, 1317, 2587, 3600, 4375, 5295, 7129, 7773, 1064, 1557, 2355, 3661, 5067, 6018, 7175, 7837, 91, 1411, 2829, 3944, 4238, 5976, 6474, 8132, 767, 1463, 3063, 3928, 4755, 5378, 6579, 7727, 831, 1477, 2316, 3472, 4954, 5545, 7222, 7687, 262, 1608, 2940, 4137, 4993, 5713, 6991, 8136, 296, 1222, 2185, 3298, 4622, 5295, 6426, 8258, 763, 1490, 2961, 3648, 4547, 6143, 7223, 8091, 508, 1904, 3060, 3596, 4777, 5670, 6226, 8017, 508, 1173, 2984, 3337, 4857, 6162, 6612, 7827, 763, 1503, 2381, 3526, 4892, 5381, 6582, 8225, 192, 1503, 2814, 4137, 4857, 5692, 6258, 7831, 810, 1331, 2309, 3507, 4727, 5676, 6309, 7709, 296, 1889, 2977, 4003, 4761, 5312, 6521, 7911, 296, 1889, 2987, 3765, 4187, 6147, 6721, 7900, 581, 1339, 2696, 4146, 4422, 5700, 6873, 7953, 192, 1339, 2332, 3343, 5093, 5402, 7207, 8025, 987, 1286, 2679, 4078, 4771, 5777, 6358, 7386, 391, 2118, 2298, 4063, 4215, 5418, 6775, 7717, 641, 2056, 2869, 3363, 5022, 5254, 6377, 7959, 262, 2056, 2234, 3870, 4379, 5958, 6282, 8079, 731, 2056, 2977, 3426, 5060, 6103, 6612, 7776, 391, 1318, 2233, 3796, 4856, 5540, 6408, 8261, 948, 1251, 2493, 3376, 4546, 6175, 6525, 7557, 547, 1723, 2493, 3685, 5036, 5590, 7198, 7865, 938, 1318, 2361, 3226, 4470, 5900, 6612, 7899, 864, 1582, 2161, 3544, 4273, 5805, 6796, 7810, 784, 1706, 2353, 3456, 4616, 5594, 6386, 8162, 1101, 1812, 2706, 3552, 5051, 5909, 7144, 7817, 223, 1507, 2518, 4067, 4273, 5594, 6674, 8257, 715, 1603, 2573, 4036, 4919, 5385, 7160, 8077, 225, 2098, 2317, 3822, 4333, 5578, 6830, 8103, 276, 2002, 2429, 3366, 4334, 5210, 6576, 8262, 654, 1566, 2554, 3413, 4423, 5223, 6346, 7936, 518, 1851, 2683, 3726, 5184, 5795, 6864, 8179, 256, 2111, 2683, 3826, 4872, 5565, 7129, 7831, 789, 1175, 2473, 4171, 4916, 5705, 6612, 7716, 256, 1851, 2820, 4026, 4980, 6129, 7098, 7563, 274, 1707, 2946, 3681, 5061, 6110, 6646, 7296, 767, 1820, 2654, 4074, 5076, 5761, 7157, 7563, 793, 1862, 2304, 3253, 4367, 5953, 6787, 7889, 761, 1349, 2785, 3924, 4539, 5948, 6743, 8211, 363, 1820, 2172, 4061, 4598, 5544, 7065, 7379, 611, 1554, 2820, 3535, 5140, 5346, 6529, 8058, 1101, 1688, 2791, 3924, 5195, 6144, 6735, 8096, 660, 1543, 2172, 3413, 4591, 5603, 7229, 8125, 611, 1794, 2869, 3355, 5031, 5346, 7073, 7967, 752, 1407, 2573, 3822, 4631, 5706, 6818, 7537, 1033, 1562, 3064, 3732, 5138, 6007, 6884, 8076, 1071, 1369, 2903, 4096, 5138, 6192, 6281, 7916, 223, 1363, 2946, 3917, 5138, 5250, 6646, 7865, 952, 1777, 2139, 3886, 4239, 5824, 6568, 7753, 761, 1826, 2316, 3509, 4748, 5368, 6820, 8205, 803, 1726, 3116, 3601, 5031, 5320, 6503, 7952, 803, 1554, 3126, 3261, 5031, 5560, 6328, 7937, 803, 1554, 2725, 3601, 4364, 6145, 6447, 7957, 487, 1140, 3005, 3277, 4288, 5942, 6476, 8007, 487, 1719, 2920, 3869, 4364, 6096, 6911, 8189, 825, 1930, 2151, 3999, 4364, 5863, 6347, 7826, 825, 2067, 3033, 3936, 4923, 6147, 6671, 8055, 317, 1560, 2554, 3398, 4364, 5458, 6443, 7705, 256, 1139, 2593, 3749, 4512, 5276, 6272, 7477, 776, 1547, 2614, 3603, 4920, 6010, 6683, 8102, 818, 1945, 3006, 4108, 4890, 6149, 7207, 7570, 779, 1467, 2598, 4068, 5159, 6149, 6776, 7677, 512, 2005, 3022, 4174, 4822, 5832, 6752, 7421, 1079, 1963, 3008, 3866, 4366, 6063, 7090, 8260, 293, 2125, 2818, 3582, 5145, 5876, 6982, 7279, 1033, 2001, 2742, 3582, 4717, 5516, 6431, 7319, 386, 1563, 3017, 3901, 4179, 5425, 6409, 7442, 862, 1682, 2667, 4082, 4702, 5930, 7228, 8143, 1009, 1490, 2505, 3259, 4255, 5298, 6611, 7898, 862, 2059, 3088, 4078, 4943, 6135, 7101, 7889, 1080, 1758, 2633, 3941, 4832, 5328, 6386, 7789, 405, 1758, 2836, 3391, 5044, 6110, 6602, 7843, 987, 1388, 2792, 3407, 4611, 6062, 7095, 8252, 1088, 1886, 2494, 3929, 4989, 5455, 7242, 7689, 938, 2021, 2151, 3981, 4743, 5322, 6752, 7303, 948, 2091, 2918, 3812, 4743, 5631, 7048, 8079, 1088, 1323, 2872, 4010, 4606, 6085, 6512, 8151, 613, 1886, 2621, 3470, 5012, 6163, 7010, 7442, 757, 1982, 3064, 3532, 4983, 5695, 6991, 7429, 684, 1400, 2826, 3374, 4825, 6063, 6991, 7303, 1099, 1869, 2925, 4114, 4387, 5767, 7095, 8107, 356, 1320, 2924, 3848, 5088, 5963, 7132, 7732, 183, 1623, 2865, 3550, 4912, 5325, 6296, 8066, 334, 1264, 2152, 4132, 4687, 5981, 7163, 8164, 118, 1269, 3068, 3352, 4867, 6070, 6740, 7920, 334, 1865, 2664, 4145, 4881, 5580, 7043, 7339, 568, 1623, 2454, 3994, 4983, 5438, 7095, 8262, 833, 1561, 2340, 4149, 5124, 5609, 7069, 7816, 685, 2051, 2792, 3945, 4669, 6039, 6818, 8132, 781, 1164, 2309, 3754, 5091, 6187, 6550, 7693, 640, 1268, 2380, 3354, 4742, 5499, 6811, 7516, 774, 1385, 2646, 3596, 4224, 5834, 7184, 7592, 668, 1526, 2453, 3651, 4865, 5487, 7149, 7512, 868, 1446, 2189, 4041, 4222, 6145, 6905, 7878, 511, 1104, 2604, 3586, 5031, 5572, 7061, 8109, 480, 1332, 2194, 3227, 4238, 5659, 7126, 7358, 480, 1997, 2824, 3651, 4712, 5315, 6879, 7535, 1070, 1331, 2578, 3331, 4248, 6097, 6892, 7532, 192, 1190, 2878, 4095, 4716, 5790, 6396, 7518, 1065, 1222, 2759, 4037, 4660, 5410, 6491, 7583, 391, 1326, 2297, 3399, 4708, 6006, 7066, 7500, 767, 1463, 3020, 4074, 4450, 6141, 6579, 7386, 731, 1548, 2581, 3375, 4859, 5835, 7165, 7715, 304, 1915, 2866, 3509, 5085, 5439, 6579, 7887, 654, 1330, 3000, 3639, 4214, 5223, 6560, 7721, 518, 1423, 2683, 4092, 4195, 6180, 7198, 8164, 518, 1623, 2461, 3623, 5137, 5983, 7162, 8080, 518, 1233, 2725, 3917, 4716, 5723, 6840, 7329, 518, 1218, 2683, 4103, 5095, 5863, 6708, 8030, 513, 1388, 3128, 3394, 5040, 5221, 7173, 8193, 1033, 1945, 2946, 3254, 4870, 6203, 6377, 7842, 465, 1306, 2944, 3484, 4236, 5366, 6799, 7667, 535, 1140, 2495, 3900, 4288, 5415, 6532, 7542, 993, 1252, 2355, 3497, 4238, 6002, 6281, 7833, 993, 1116, 3091, 3245, 4574, 5408, 6267, 8028, 1052, 1516, 2751, 3251, 4813, 6180, 6903, 7930, 569, 1570, 2129, 3245, 4716, 6002, 6354, 7480, 115, 1453, 2282, 3642, 4350, 5715, 6612, 8065, 901, 1809, 2156, 3418, 4792, 5368, 6740, 7631, 576, 1660, 2708, 4015, 4598, 5810, 6354, 8099, 518, 1139, 2137, 3917, 4949, 5578, 7207, 7291, 448, 1649, 3007, 3928, 4555, 6105, 6919, 7367, 569, 1570, 2721, 3900, 5110, 6116, 6328, 7881, 319, 1541, 3033, 4074, 4709, 5474, 7232, 7948, 893, 1636, 2464, 3802, 4235, 5664, 6779, 7248, 896, 1606, 2890, 3599, 4421, 5396, 7001, 8039, 781, 1488, 2731, 3764, 5187, 5819, 6797, 7659, 1006, 1309, 2882, 3464, 4707, 5384, 6797, 7442, 511, 1104, 2461, 3673, 4575, 5733, 6242, 8106, 987, 1488, 2338, 3434, 4642, 5254, 6520, 8128, 831, 1761, 2728, 3276, 4513, 5913, 7048, 8083, 831, 1871, 2221, 3917, 4622, 5981, 6630, 7658, 831, 1450, 2980, 3350, 4985, 5687, 6485, 7941, 480, 1871, 2585, 4124, 4780, 5719, 6670, 8117, 421, 1277, 2316, 4015, 4808, 5448, 6387, 7913, 545, 1585, 2658, 3268, 4878, 5588, 6702, 7559, 545, 1858, 2556, 3256, 5138, 5792, 6566, 7813, 1024, 1287, 2491, 3543, 5051, 5929, 6762, 7383, 692, 1411, 2829, 3259, 4790, 6086, 7182, 7559, 504, 1545, 2817, 3756, 5051, 6015, 6676, 8097, 632, 1831, 2752, 3570, 4665, 5776, 6596, 8180, 884, 1294, 2817, 3570, 4539, 6034, 6929, 7311, 458, 1777, 2593, 4072, 5040, 6125, 7198, 7649, 974, 1507, 3091, 3621, 5094, 5538, 7067, 7930, 655, 2059, 2316, 3458, 4217, 6017, 6740, 7724, 803, 1972, 2309, 3246, 4274, 5350, 6362, 8240, 1056, 1939, 3129, 3929, 5040, 5616, 6780, 7872, 1056, 1796, 2895, 4113, 4551, 5219, 6672, 7458, 308, 1791, 2801, 3361, 5020, 5212, 6589, 7481, 410, 1280, 2720, 4005, 5038, 5305, 6393, 8132, 440, 1944, 2473, 3259, 5061, 5937, 6980, 7462, 1035, 2073, 2491, 3602, 4782, 5276, 6900, 8021, 814, 2079, 2369, 3366, 4883, 5644, 6856, 7527, 665, 1655, 2807, 3398, 4931, 5934, 6692, 7453, 994, 1682, 2346, 3421, 4835, 5983, 6276, 7800, 781, 1140, 2346, 3419, 4350, 5618, 7185, 8270, 540, 1140, 2152, 3422, 4419, 6010, 6601, 7685, 643, 1563, 2805, 3410, 4890, 5802, 6884, 7597, 223, 1637, 2794, 3968, 4276, 5565, 7162, 7664, 731, 2047, 2207, 3822, 5092, 5677, 7110, 7918, 948, 1503, 3080, 3304, 4280, 6179, 6944, 7386, 335, 2073, 2309, 3952, 5079, 5437, 6301, 8144, 767, 1509, 2794, 3183, 4546, 5907, 7230, 7664, 216, 2073, 2481, 3290, 5135, 5419, 7120, 8260, 401, 1664, 3007, 3932, 5079, 5981, 6526, 7887, 684, 1705, 2960, 3390, 4592, 5534, 6515, 7865, 914, 1869, 3043, 3866, 5159, 6205, 7168, 8195, 818, 1992, 2989, 3990, 4276, 6129, 7084, 7720, 510, 1705, 2924, 3516, 4589, 6025, 6979, 8237, 914, 1750, 2960, 3825, 4624, 5635, 7077, 7766, 818, 1869, 3128, 3893, 4888, 6081, 7201, 8147, 142, 1528, 2914, 3825, 4704, 6139, 6794, 8147, 818, 2017, 2991, 3886, 4624, 5241, 6972, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7239, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 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, 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, 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, 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, 53, 39, 30, 5, 31, 16, 5, 66, 33, 52, 16, 41, 58, 54, 5, 51, 20, 52, 5, 14, 66, 5, 76, 17, 54, 64, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 5635, 6752, 8196, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 3065, 3893, 4583, 6139, 7077, 8196, 419, 1490, 2473, 3803, 4681, 5413, 6589, 7563, 756, 1865, 2317, 4113, 5128, 5294, 7149, 8101, 640, 2101, 2409, 3623, 4804, 5302, 6240, 7438, 660, 1828, 2689, 3742, 4723, 5706, 6929, 7344, 1077, 1206, 2653, 3483, 4468, 5460, 6683, 8149, 683, 1349, 2751, 3239, 5154, 5984, 6960, 7751, 868, 2099, 2895, 4074, 4241, 5831, 6866, 7930, 1062, 1486, 3120, 3789, 4674, 5839, 6736, 7655, 1025, 1399, 2436, 3885, 4241, 5221, 6849, 7816, 610, 1238, 2440, 3307, 4925, 5704, 7058, 8016, 887, 1978, 2440, 3605, 4981, 5621, 7160, 7887, 271, 1141, 2463, 3918, 4308, 6123, 7181, 8076, 1025, 1797, 2440, 3430, 5151, 5616, 6626, 8090, 535, 1363, 2564, 3628, 4644, 5352, 6911, 7528, 491, 1881, 2705, 3967, 4995, 6044, 6280, 8249, 807, 1918, 2232, 3239, 4804, 5204, 6856, 8197, 487, 2079, 3066, 3396, 5151, 5925, 6977, 8092, 610, 2008, 2440, 3515, 5005, 5332, 7078, 7261, 424, 1978, 2601, 3792, 4470, 5764, 6870, 8079, 1090, 1116, 2817, 3472, 4539, 5899, 6649, 8118, 663, 1561, 2688, 3960, 4646, 5585, 6528, 8227, 390, 1881, 2801, 3681, 4978, 6007, 7129, 7677, 1097, 1467, 2989, 3914, 4681, 6123, 6786, 8066, 684, 1620, 3021, 3961, 4980, 5210, 6540, 7876, 804, 1945, 3007, 3982, 4822, 5883, 6996, 7876, 308, 1869, 3008, 4108, 4912, 5241, 6972, 7720, 952, 2060, 2151, 4068, 4846, 6194, 6852, 7437, 650, 1557, 2847, 3922, 5130, 5719, 6725, 7968, 803, 2118, 2258, 3635, 4335, 6193, 6818, 7823, 1057, 2048, 2953, 3372, 4364, 6007, 6702, 7996, 403, 1623, 2154, 3983, 4259, 6007, 6426, 7421, 915, 1508, 2925, 3671, 4859, 5563, 7232, 8076, 818, 1992, 3008, 3866, 4870, 5840, 7120, 7949, 935, 1791, 2991, 4145, 5007, 5210, 6830, 8080, 935, 1620, 3006, 4011, 5106, 5678, 6996, 8083, 276, 1652, 2606, 3793, 4411, 6194, 6449, 7363, 195, 1503, 2621, 3320, 4918, 5350, 6706, 7838, 617, 1623, 2970, 3348, 4862, 5223, 6376, 7838, 403, 2098, 3003, 3826, 4673, 5346, 6710, 7297, 650, 1349, 2936, 3551, 4328, 5514, 7017, 7816, 113, 1704, 2327, 3280, 4226, 5411, 7099, 7586, 113, 1704, 2361, 3306, 4462, 5443, 6906, 7797, 113, 1490, 2486, 3493, 4604, 6080, 6814, 7895, 803, 1717, 2491, 3478, 5010, 5421, 6983, 7759, 508, 1893, 3103, 3924, 4399, 5632, 6437, 7358, 895, 1871, 2173, 3454, 4805, 5810, 7098, 7807, 913, 1350, 2748, 3540, 4852, 5325, 7183, 8112, 938, 1906, 2896, 3418, 4678, 5463, 7245, 7962, 1062, 1743, 2455, 4004, 4700, 5454, 7096, 7563, 776, 1248, 2642, 4117, 4426, 5469, 6698, 7702, 776, 1974, 2716, 3743, 4364, 6222, 6974, 7286, 405, 1660, 2293, 3201, 5183, 6077, 6677, 7537, 256, 1750, 2957, 4039, 5106, 5493, 6613, 8195, 256, 1796, 3141, 4018, 4387, 5276, 7024, 7537, 878, 2073, 2809, 4135, 5192, 5824, 6607, 7735, 256, 1998, 2970, 3364, 5106, 5436, 6566, 7716, 1102, 1508, 2970, 3951, 5098, 6137, 6771, 7919, 304, 1897, 2975, 4078, 4585, 5811, 6612, 7421, 271, 2050, 2728, 4081, 4415, 5911, 6969, 8211, 160, 1728, 2460, 4090, 4570, 6222, 6574, 7502, 1071, 1867, 2679, 4152, 4601, 6002, 6648, 8239, 1033, 1874, 2814, 3322, 4665, 5650, 6581, 7369, 113, 2079, 2482, 3839, 4634, 5979, 6244, 7948, 826, 1727, 2732, 3448, 4970, 5314, 7217, 7658, 826, 1540, 2320, 3292, 4315, 5893, 7241, 7881, 610, 1782, 2754, 4078, 4971, 5245, 6903, 7887, 610, 1948, 3003, 4074, 5169, 6007, 6888, 8066, 610, 1915, 2389, 4096, 5104, 5543, 6646, 7764, 1099, 1175, 2943, 3909, 5038, 6203, 7098, 7766, 337, 1791, 3006, 3990, 5061, 5612, 7006, 8185, 337, 1963, 3043, 3188, 4980, 5630, 6809, 8179, 914, 2000, 3006, 3990, 5058, 6051, 6996, 8195, 293, 1774, 2599, 3159, 5175, 5211, 7091, 7487, 617, 1131, 2288, 3879, 4501, 5539, 6719, 7567, 891, 1898, 2573, 4135, 4376, 5443, 6465, 7500, 1071, 2056, 2873, 3479, 4691, 5815, 6244, 8132, 1008, 2053, 2175, 3981, 5139, 5819, 6595, 8091, 83, 1674, 2831, 3450, 4946, 5745, 7047, 8099, 344, 1674, 2727, 3184, 4395, 6176, 7066, 7910, 113, 1469, 2796, 3446, 4550, 6090, 6901, 7702, 1008, 1938, 2294, 4130, 4994, 5477, 6866, 7869, 864, 1938, 2396, 3699, 5084, 5606, 6557, 7938, 1024, 1938, 2149, 3284, 4729, 5606, 6565, 8011, 970, 2036, 2493, 3295, 5152, 5482, 6944, 7462, 1011, 1369, 2970, 3743, 4387, 5759, 6540, 7496, 913, 1238, 2712, 3894, 4379, 5752, 6663, 7452, 1090, 1912, 2304, 3610, 5127, 5869, 6579, 8165, 610, 2024, 3112, 4078, 4713, 5991, 6859, 7807, 424, 1490, 2587, 3352, 4454, 5869, 7114, 7563, 272, 1620, 2868, 3424, 4734, 5589, 6761, 8241, 645, 1299, 2232, 3430, 4179, 5413, 6480, 7582, 887, 1435, 2503, 3771, 4467, 5844, 7129, 7962, 887, 1299, 2750, 4096, 5139, 5276, 6390, 8193, 959, 1758, 3046, 3231, 4334, 6182, 6790, 7889, 1099, 1147, 3006, 4114, 4912, 6146, 7111, 7948, 488, 1620, 2991, 3886, 4888, 5883, 6794, 7949, 967, 1874, 2833, 3922, 4533, 5705, 7168, 7723, 859, 1752, 2970, 3710, 4583, 5219, 7152, 7720, 915, 1467, 3008, 3932, 5106, 5963, 7069, 8076, 818, 1467, 2806, 3909, 4980, 6211, 6786, 7806, 684, 1467, 3064, 4018, 4583, 5883, 7006, 7949, 211, 1591, 2598, 3664, 4925, 6123, 6515, 7454, 1029, 1773, 2984, 3707, 4966, 6007, 6884, 7764, 104, 1674, 2956, 3766, 4379, 5806, 6955, 7336, 113, 1674, 2882, 3693, 5027, 5684, 7224, 8188, 1041, 1582, 2374, 3517, 4448, 5909, 6611, 7975, 296, 1706, 2515, 3958, 5177, 5947, 6731, 7536, 763, 1178, 2390, 3751, 4910, 5636, 6860, 7881, 482, 1178, 3003, 3654, 4499, 5508, 6883, 7341, 620, 1603, 2194, 3913, 4855, 6095, 7155, 7648, 1011, 2101, 3094, 4096, 4459, 5749, 6778, 7256, 951, 1665, 2498, 4006, 4214, 5899, 6472, 7947, 288, 1809, 2661, 3188, 5058, 6137, 6891, 7602, 1056, 1978, 2944, 3430, 4622, 5901, 6891, 8099, 779, 2063, 2924, 3848, 5129, 5678, 6630, 7664, 288, 1581, 2902, 4096, 4925, 5210, 6988, 8179, 779, 2079, 2936, 4011, 4912, 5216, 7207, 8185, 256, 2091, 2895, 3993, 4228, 5515, 6604, 7776, 228, 2127, 2287, 3394, 4681, 5981, 6338, 8061, 228, 2108, 2316, 4103, 4700, 5296, 6728, 8130, 518, 1550, 2880, 3564, 5160, 5811, 7239, 7677, 228, 1345, 2669, 4047, 4700, 5865, 6889, 7677, 228, 2127, 2473, 3376, 5135, 6057, 6740, 7717, 228, 2108, 2340, 3376, 4549, 5385, 6671, 8076, 228, 1345, 2669, 3891, 4504, 5624, 6752, 7715, 228, 1648, 2880, 3227, 4329, 5689, 6988, 7715, 256, 2002, 2725, 4025, 4549, 5892, 6889, 7732, 256, 2118, 3133, 3374, 4852, 5624, 7098, 7723, 543, 1490, 2775, 4125, 5079, 5981, 6889, 7716, 859, 1826, 3133, 3827, 4775, 5241, 6724, 8223, 818, 2111, 2554, 3838, 4387, 5493, 6996, 7303, 860, 1528, 2806, 3803, 4704, 6081, 6612, 7766, 488, 2017, 3117, 3367, 5138, 6186, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 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, 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, 4, 2 ]
[ 1, 76, 45, 31, 5, 76, 45, 29, 5, 65, 48, 5, 52, 69, 51, 66, 5, 75, 33, 63, 47, 5, 51, 26, 54, 30, 52, 47, 5, 14, 66, 5, 62, 36, 64, 47, 16, 64, 5, 5, 3, 142, 2017, 2914, 4174, 4704, 6139, 6709, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3367, 4798, 6081, 6794, 8196, 818, 1218, 2991, 4011, 5080, 5705, 6988, 8260, 831, 1995, 3064, 4097, 5080, 6051, 6709, 8267, 335, 1686, 3108, 3975, 4856, 5840, 7230, 8135, 716, 1356, 2137, 3263, 5040, 5485, 6985, 8241, 1004, 1770, 2429, 3770, 4688, 6096, 7024, 7821, 761, 1971, 2422, 3900, 5011, 6155, 6684, 7475, 752, 1252, 2271, 3770, 4671, 6199, 6414, 7367, 684, 1280, 2293, 4033, 4737, 5777, 6832, 8178, 419, 1406, 2144, 4150, 4762, 5580, 6612, 7574, 256, 1857, 2389, 3364, 4737, 6128, 6786, 8126, 579, 1847, 2454, 4113, 4536, 5340, 6613, 7631, 206, 1280, 3095, 3680, 4366, 5612, 6671, 8179, 914, 1847, 2340, 3982, 4681, 5978, 6515, 7865, 617, 1280, 2783, 4171, 5104, 5883, 6604, 8179, 153, 1804, 2163, 4006, 5060, 5767, 6688, 7290, 223, 1331, 2957, 3710, 5060, 5678, 7120, 8252, 752, 1643, 2567, 3729, 4215, 5254, 6702, 7900, 1029, 1318, 2133, 3420, 4859, 5717, 7061, 8085, 150, 1768, 2599, 3356, 4896, 5902, 7109, 8204, 725, 1531, 2708, 3398, 4727, 5797, 6888, 7899, 487, 1421, 2646, 4035, 4952, 5514, 6510, 7429, 893, 1286, 2610, 4106, 5192, 5765, 7197, 7598, 356, 1850, 2874, 3410, 4229, 5641, 7127, 8118, 105, 1918, 2519, 3300, 4993, 5953, 7047, 7948, 183, 1782, 2345, 3795, 4521, 5413, 7143, 7920, 183, 1707, 2432, 3777, 4205, 5957, 7222, 7313, 183, 1742, 2970, 3555, 4939, 6107, 6871, 7420, 183, 2034, 3028, 4078, 4912, 5767, 7103, 7563, 183, 1623, 2718, 3822, 4863, 5436, 7146, 8179, 757, 2127, 2761, 4145, 4877, 5767, 6607, 7878, 757, 1286, 2905, 4015, 5083, 6147, 6430, 7753, 859, 1876, 3026, 3681, 5120, 5892, 7103, 7732, 859, 1750, 2803, 4145, 4704, 5438, 7111, 8132, 555, 1147, 2991, 4145, 4630, 6175, 6677, 7887, 818, 1147, 2970, 4071, 4888, 5981, 6996, 7876, 818, 1648, 3021, 3825, 4387, 6139, 7239, 7766, 818, 1648, 2970, 3886, 4681, 5844, 6677, 8237, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7226, 7766, 915, 2017, 3021, 3825, 4624, 5635, 6794, 7766, 859, 2127, 3021, 4026, 4512, 5677, 6752, 8083, 757, 1133, 2833, 4006, 4914, 5678, 6671, 7888, 118, 1286, 2971, 3771, 4878, 5219, 7090, 8030, 568, 1958, 3133, 3555, 4859, 5844, 7001, 8214, 568, 1286, 2970, 3555, 4622, 5550, 6486, 8164, 617, 2034, 3021, 3407, 5197, 5901, 7024, 7749, 105, 1876, 3059, 3723, 4622, 6149, 7100, 7831, 859, 1508, 3144, 4018, 4681, 6063, 7239, 7664, 779, 1265, 2771, 4092, 4588, 5901, 7120, 8185, 1033, 1782, 2837, 3498, 4966, 5944, 6242, 7664, 893, 1550, 2401, 3472, 4604, 5591, 6267, 8227, 807, 1860, 2661, 3601, 5124, 5865, 6760, 7724, 998, 1550, 2401, 4073, 4604, 5658, 6813, 7997, 104, 1550, 2248, 3601, 4604, 5697, 6752, 7811, 613, 2084, 2359, 3746, 4848, 5637, 6627, 7442, 610, 1773, 2359, 3547, 4364, 6120, 7038, 7660, 986, 1826, 2495, 3904, 4623, 6076, 6302, 7878, 887, 1716, 2346, 3511, 4302, 5632, 7205, 7540, 802, 1974, 2214, 3356, 4651, 5360, 6772, 8209, 802, 1129, 2214, 3356, 4796, 6124, 6830, 7666, 117, 1440, 2573, 3526, 4298, 5325, 7117, 7491, 1019, 1682, 2516, 3356, 4321, 5843, 7126, 8070, 344, 1682, 2881, 3394, 4946, 6002, 6908, 7301, 390, 1770, 2163, 3706, 4225, 5297, 6612, 7547, 1097, 1770, 2957, 4065, 4583, 5678, 6254, 7732, 804, 2079, 2598, 3795, 4691, 5911, 6967, 7791, 935, 1856, 3130, 3990, 4918, 6146, 7098, 7386, 956, 2064, 2730, 3710, 4849, 5705, 6589, 8260, 956, 1998, 2803, 3188, 4980, 6051, 7226, 7766, 956, 1856, 3110, 3710, 5159, 5210, 6786, 8147, 935, 2064, 3135, 4068, 4215, 5883, 6786, 8267, 617, 1570, 2163, 4092, 4681, 5436, 7132, 8261, 475, 1304, 2340, 3391, 4536, 5584, 6717, 7473, 405, 1797, 2838, 3761, 5083, 5548, 6776, 8267, 304, 1116, 3141, 3602, 4364, 5716, 6349, 7538, 715, 1370, 3116, 3671, 4782, 5296, 6694, 8132, 750, 1821, 2480, 4006, 4762, 6058, 6648, 8085, 752, 1930, 2927, 3669, 4814, 5827, 7126, 8040, 814, 1510, 2542, 3536, 4490, 5734, 6397, 8000, 665, 1510, 2506, 3949, 4814, 5268, 6780, 8028, 569, 1510, 2506, 3649, 4435, 5633, 7096, 7989, 569, 1422, 2564, 3991, 5128, 6016, 6669, 7904, 806, 1586, 2439, 3234, 4763, 5589, 7003, 7761, 536, 1586, 2400, 4073, 4641, 6221, 7229, 7889, 299, 1785, 2530, 3687, 4941, 5433, 6552, 7419, 443, 1373, 2881, 3550, 4542, 5283, 6932, 7752, 1029, 1111, 2874, 3369, 4868, 5466, 6728, 7785, 761, 1280, 2874, 4159, 4533, 5352, 6632, 7807, 725, 1164, 2424, 4153, 4588, 5304, 7062, 8069, 692, 1905, 3001, 3476, 4755, 5894, 7076, 7393, 234, 1633, 2865, 3615, 4755, 5825, 6244, 7873, 234, 1126, 2300, 3796, 4176, 5321, 6526, 7574, 862, 1550, 2339, 3243, 4848, 6089, 6687, 8046, 986, 2024, 2595, 3356, 4510, 6188, 6790, 7299, 103, 1331, 2163, 3929, 5193, 6132, 6625, 7574, 512, 1782, 3062, 3928, 5020, 5573, 7010, 7303, 512, 1363, 2792, 4085, 4622, 5590, 6589, 7557, 935, 1847, 2989, 4145, 5058, 6211, 7218, 8236, 105, 1705, 3021, 3904, 5061, 6175, 6443, 8132, 956, 2000, 2989, 4011, 4681, 5340, 6850, 8076, 473, 1684, 2709, 3732, 5143, 5678, 7090, 7743, 165, 1396, 2468, 3904, 4549, 5544, 6436, 7750, 568, 2052, 2746, 3795, 4494, 5514, 6909, 8187, 1015, 1773, 3144, 3276, 4648, 5808, 6870, 7697, 955, 1523, 3020, 3777, 4529, 6001, 6444, 8227, 803, 1271, 2816, 3777, 4647, 5866, 6347, 8168, 363, 1841, 2930, 3600, 5036, 5710, 7195, 8127, 515, 1562, 2869, 3286, 4542, 5234, 6800, 7973, 314, 1997, 2307, 3431, 4233, 6180, 6509, 7423, 1023, 1424, 2628, 3181, 4364, 5886, 6814, 7844, 363, 1179, 2565, 4054, 4236, 5615, 6919, 7604, 920, 1286, 2819, 3417, 4222, 5875, 7133, 8099, 465, 1287, 2476, 4007, 4924, 5496, 6733, 7953, 778, 1905, 2885, 4095, 5019, 5321, 6651, 8160, 887, 1388, 2464, 3192, 4604, 5902, 6528, 7908, 614, 1118, 2309, 4072, 4853, 6122, 7217, 7916, 1035, 1671, 2563, 4114, 4912, 5869, 6397, 7842, 887, 1275, 2357, 4096, 5061, 5684, 6871, 8107, 850, 1637, 2265, 3962, 4993, 5942, 6404, 7641, 610, 1577, 2582, 3361, 5166, 5730, 6899, 8093, 887, 1932, 2440, 3982, 5080, 5871, 7207, 8096, 663, 1809, 2996, 3932, 4586, 5705, 7120, 8260, 211, 1992, 2980, 4096, 4589, 5968, 6615, 7631, 1056, 1992, 2895, 3671, 4429, 5981, 6612, 8076, 678, 1238, 2610, 4124, 5115, 6056, 6430, 7881, 1037, 1933, 2710, 3726, 5187, 6077, 7100, 8058, 663, 1919, 2515, 3826, 4583, 5824, 6599, 8146, 970, 1889, 2924, 4168, 5150, 5514, 6706, 7524, 391, 1770, 2534, 4078, 4215, 6154, 6314, 8236, 1090, 1275, 2163, 4151, 5080, 5678, 7133, 7476, 1011, 1400, 2389, 3254, 5088, 6113, 6456, 7479, 639, 1415, 2775, 3493, 4376, 6142, 6774, 8226, 620, 1510, 2720, 3892, 4678, 6142, 6821, 7822, 702, 1510, 2692, 3613, 4981, 5745, 6536, 7913, 407, 1561, 2751, 3225, 5090, 5745, 6783, 7714, 397, 1743, 2327, 3399, 5040, 6024, 7137, 7535, 995, 1561, 2692, 3418, 4578, 5734, 6244, 7557, 995, 1882, 2692, 4095, 5031, 5613, 6856, 8040, 572, 1118, 2692, 3655, 4806, 5837, 7002, 8132, 620, 1112, 3029, 3555, 5135, 5552, 6910, 7551, 668, 1112, 3116, 3785, 4371, 5827, 6335, 7369, 995, 1831, 2791, 3555, 4367, 5800, 7033, 7438, 620, 1112, 2346, 3421, 4767, 5538, 7182, 7797, 981, 2034, 2945, 3723, 4881, 5298, 7102, 8108, 487, 2034, 3116, 3656, 5197, 5773, 7041, 7578, 891, 1905, 2346, 3208, 4606, 5756, 6539, 7429, 804, 1186, 3098, 3417, 4763, 5788, 6566, 8076, 859, 1961, 3021, 3885, 5138, 5974, 6443, 7773, 859, 1175, 2729, 4115, 4782, 5612, 7120, 8185, 935, 1147, 2746, 4145, 4912, 6129, 6996, 8260, 555, 2017, 3021, 3886, 5129, 6205, 7084, 7948, 818, 1528, 3021, 4018, 4980, 5968, 6972, 7717, 555, 2017, 3021, 4145, 4782, 6137, 7077, 7806, 555, 1992, 3021, 3866, 5061, 5635, 6810, 7485, 555, 1684, 2970, 3352, 4877, 5219, 6604, 7876, 859, 1468, 3021, 3374, 4701, 6085, 7207, 8266, 859, 1695, 2971, 3595, 5166, 5219, 6996, 7303, 555, 1750, 2858, 3827, 4877, 6139, 6612, 7715, 337, 1564, 3065, 3391, 4583, 5305, 7160, 7303, 488, 2032, 3117, 3827, 4583, 5678, 7077, 8237, 488, 2032, 2806, 3893, 5060, 5635, 7226, 7290, 488, 1528, 2806, 4174, 4624, 5635, 7124, 7723, 419, 1705, 3144, 3914, 5138, 6129, 7006, 8260, 639, 1791, 2669, 4098, 5138, 5737, 6302, 7920, 739, 1719, 2726, 3443, 4662, 5440, 7096, 7955, 616, 1349, 2476, 3770, 4539, 5698, 6364, 7502, 616, 1104, 2492, 3596, 4364, 6187, 6314, 8160, 487, 1140, 2553, 3566, 5197, 5687, 6917, 7743, 1099, 1540, 2754, 3870, 4387, 5241, 6671, 7631, 935, 1945, 3008, 3914, 4447, 5630, 6810, 7717, 935, 1791, 2947, 3827, 4551, 5231, 7023, 7290, 935, 1804, 3043, 3866, 5061, 6051, 6752, 7717, 1099, 2068, 2781, 4041, 5061, 6137, 7207, 7723, 1099, 2017, 3110, 3803, 5061, 5687, 6709, 7557, 488, 1528, 2914, 4018, 4888, 6139, 7077, 7949, 818, 1528, 2834, 4152, 4624, 5241, 7077, 8179, 186, 2017, 2164, 3893, 5080, 5901, 6794, 8195, 757, 2005, 2709, 3487, 4888, 6072, 7098, 7563, 541, 1802, 2868, 3936, 4710, 5929, 6306, 7728, 153, 1272, 3026, 3550, 4512, 5630, 7120, 7714, 1033, 1758, 2860, 3990, 4265, 5565, 6677, 8185, 601, 1239, 2768, 3669, 4683, 5589, 6740, 7607, 344, 1306, 2905, 4079, 4669, 5384, 6958, 7367, 974, 1522, 2455, 3375, 4996, 5579, 6856, 7599, 646, 2114, 3089, 4153, 4784, 5303, 6746, 7770, 803, 1758, 3019, 3517, 4669, 6179, 7063, 7745, 802, 1886, 3101, 3647, 4201, 5800, 6563, 7666, 160, 1268, 2315, 3687, 4534, 6002, 6267, 7610, 103, 1139, 2291, 3550, 4996, 5352, 6732, 7476, 756, 1832, 2160, 3826, 4670, 6050, 6625, 7926, 183, 2002, 2520, 4125, 4555, 5276, 7241, 8213, 225, 2059, 2992, 3277, 4877, 5433, 7239, 7973, 225, 1347, 2346, 3364, 5047, 5963, 6515, 7908, 225, 2111, 2669, 3394, 5040, 6065, 7091, 7538, 518, 1789, 2327, 3785, 4867, 5963, 7052, 8262, 654, 1345, 2654, 3394, 5106, 5957, 6671, 8164, 225, 1512, 2833, 3586, 4181, 5223, 6757, 7715, 256, 2111, 3065, 3595, 4555, 6081, 7132, 7476, 859, 1684, 3064, 3188, 4215, 5514, 6338, 7664, 304, 1570, 2941, 3226, 5138, 5873, 6235, 8118, 448, 1561, 3060, 4079, 4800, 5565, 6494, 8240, 448, 1550, 2615, 3421, 4218, 5773, 6910, 8268, 115, 1550, 2945, 3939, 4756, 5390, 6593, 7365, 103, 1621, 2346, 4135, 4604, 5648, 7163, 7966, 1059, 1550, 2346, 3565, 4705, 5719, 6905, 7349, 715, 1550, 2945, 3770, 4665, 6205, 6265, 8188, 487, 1763, 2346, 3687, 4495, 5863, 6439, 7304, 516, 2068, 2884, 3417, 5062, 5325, 6799, 8205, 708, 1282, 2492, 3764, 4903, 6037, 6431, 7678, 516, 1412, 2346, 3601, 5117, 6222, 7009, 7487, 1022, 1570, 2847, 3394, 5187, 5474, 6485, 8261, 891, 1570, 2951, 3360, 4964, 5561, 6592, 7547, 390, 1653, 2396, 3592, 5183, 5683, 7152, 7799, 308, 1992, 2542, 4037, 4673, 5485, 7069, 7586, 225, 1237, 3021, 3749, 5079, 6026, 6467, 7664, 225, 1719, 2230, 3394, 4996, 5523, 6478, 7732, 654, 1586, 2944, 4006, 5168, 5527, 7218, 7891, 654, 1345, 2654, 3550, 4764, 6175, 6291, 7706, 518, 1756, 2946, 4174, 5075, 5515, 6338, 7939, 518, 2034, 2424, 4026, 4326, 5981, 7132, 7260, 518, 1756, 2469, 3803, 4555, 6065, 7198, 7664, 228, 1719, 3147, 3651, 4902, 5981, 7152, 7318, 256, 1905, 2880, 4103, 4700, 6010, 7168, 7865, 256, 1756, 2565, 4153, 4859, 5892, 6688, 7563, 256, 2127, 3133, 3552, 4996, 5624, 6790, 7677, 475, 2111, 2554, 3595, 5159, 5767, 6338, 8080, 555, 2111, 3133, 3277, 4622, 5514, 6604, 7485, 488, 1528, 2806, 3825, 4704, 5241, 7077, 8147, 488, 1528, 3117, 3367, 4624, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7226, 8147, 488, 1528, 3065, 3825, 4624, 6139, 7226, 8223, 488, 1528, 3065, 3595, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 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, 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, 66, 36, 54, 30, 5, 66, 73, 5, 41, 39, 64, 5, 31, 16, 5, 45, 54, 64, 66, 63, 16, 53, 16, 54, 66, 5, 28, 20, 63, 30, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7124, 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, 555, 1851, 2833, 3893, 4798, 5493, 6604, 7477, 555, 1851, 2833, 4145, 4583, 5610, 6988, 7476, 153, 1827, 2582, 3945, 4790, 5892, 7232, 7957, 893, 1194, 3015, 3575, 4999, 5216, 6740, 7834, 620, 1146, 2151, 3690, 4705, 6002, 6835, 8137, 386, 2048, 2724, 3754, 5193, 5341, 6383, 8016, 678, 1577, 2895, 3692, 4478, 5378, 7021, 8047, 779, 1139, 2924, 3352, 5117, 6123, 7129, 7887, 424, 1238, 2980, 3521, 4335, 5378, 6507, 7965, 641, 1363, 2610, 3756, 4335, 5704, 6949, 7706, 806, 1918, 2644, 3678, 4529, 6068, 6740, 7677, 692, 1346, 2532, 4139, 4775, 5557, 6957, 7973, 983, 1534, 2260, 3394, 4338, 6088, 6227, 7618, 242, 1886, 2430, 3889, 4368, 5313, 6783, 8143, 827, 1438, 2374, 3340, 4637, 6041, 6632, 7632, 1041, 1732, 2725, 3152, 4565, 5270, 6959, 7616, 103, 1209, 2353, 3908, 4664, 6117, 6393, 7822, 1056, 1566, 2687, 3917, 4582, 5386, 7075, 7673, 914, 1998, 2293, 3277, 4181, 5204, 7162, 7591, 935, 2068, 2679, 3945, 4890, 6103, 7162, 8107, 935, 2032, 2925, 3982, 4551, 5702, 6774, 7720, 984, 1648, 3140, 4145, 4822, 5219, 7111, 7485, 629, 2127, 2772, 3746, 4913, 5858, 7149, 7936, 334, 1935, 2734, 3363, 5135, 5455, 6798, 7716, 757, 2106, 2833, 3803, 5167, 5971, 7091, 8260, 153, 1116, 2244, 3470, 4900, 5376, 6768, 8012, 1071, 1758, 2925, 3826, 4825, 5378, 7026, 8058, 319, 1158, 2378, 4027, 4793, 5208, 6952, 7759, 876, 2009, 2905, 3375, 4321, 5524, 6912, 7696, 404, 1989, 2905, 4007, 4789, 5601, 6226, 7628, 802, 1850, 2905, 3643, 4226, 5588, 7000, 7679, 993, 1504, 2564, 3478, 4621, 5557, 6593, 8078, 862, 1758, 2797, 3486, 4791, 5810, 6603, 8164, 1038, 1494, 2440, 3374, 4321, 6040, 6610, 8122, 569, 1459, 2564, 3217, 5110, 5776, 7086, 8129, 1062, 1944, 3026, 3530, 4784, 6177, 6973, 7926, 113, 1758, 2642, 3455, 4609, 5474, 6865, 7811, 826, 1794, 3019, 3687, 4604, 6146, 6878, 7816, 887, 1717, 2724, 3866, 4834, 5216, 7017, 7367, 1090, 1335, 3098, 4078, 4849, 5749, 6393, 7367, 663, 1350, 2688, 3233, 5163, 5752, 7095, 8164, 1056, 1992, 3098, 4108, 5169, 5536, 6677, 8179, 684, 1992, 2957, 3886, 4822, 5883, 6752, 7421, 757, 1564, 2139, 3538, 4334, 6172, 6346, 8017, 356, 1403, 2959, 3951, 4834, 5775, 7230, 7629, 970, 1494, 2678, 3788, 4729, 5960, 6443, 8073, 970, 1489, 2378, 4007, 4691, 5216, 6430, 8253, 970, 2059, 2583, 3478, 4529, 6061, 6692, 7869, 804, 1477, 2900, 3430, 4681, 6131, 6509, 7865, 256, 1794, 2352, 3359, 4916, 5778, 7160, 7557, 256, 1597, 3133, 3857, 4923, 5514, 7132, 7508, 256, 1545, 2925, 3374, 4496, 5963, 6949, 7664, 878, 2032, 2473, 3710, 4702, 5436, 6979, 7985, 256, 1600, 2473, 3391, 5053, 5514, 7127, 8025, 617, 1525, 2754, 3761, 4267, 5216, 6717, 7664, 757, 1452, 3109, 3413, 4267, 5276, 6724, 7707, 405, 2065, 2560, 3206, 4529, 5988, 6749, 7429, 223, 1557, 3064, 3316, 5010, 5308, 7198, 7997, 247, 1472, 2543, 3341, 5120, 5955, 6959, 7652, 884, 1842, 3005, 3167, 4205, 6198, 6517, 8211, 807, 1773, 2492, 3167, 4804, 6133, 6883, 7625, 986, 1644, 2661, 4007, 5042, 5952, 6426, 7821, 887, 1815, 2559, 3605, 4321, 5548, 6612, 8012, 401, 2013, 2843, 3352, 4321, 5904, 6830, 7972, 105, 1918, 3053, 4093, 4622, 5892, 6589, 7887, 568, 1995, 3021, 3904, 4784, 5830, 6899, 7770, 225, 1564, 3026, 4111, 4780, 5968, 6671, 7419, 225, 1147, 2729, 4166, 4630, 5218, 6677, 8126, 228, 1684, 3133, 3646, 4522, 5296, 6589, 7641, 228, 1652, 2971, 3831, 4411, 5333, 6566, 7349, 228, 1570, 2473, 4006, 5167, 6117, 6895, 7612, 240, 1756, 2469, 3798, 5159, 5745, 7079, 7838, 789, 1853, 3068, 3704, 5060, 5719, 7152, 8061, 488, 1851, 2904, 4071, 4555, 5767, 6996, 7303, 818, 1622, 2941, 3595, 4624, 5438, 6996, 8147, 419, 2017, 2914, 3825, 4798, 6186, 6794, 8223, 915, 1528, 2941, 3470, 4798, 5241, 7124, 7715, 789, 1705, 2718, 4078, 4780, 5580, 6938, 7563, 204, 1597, 2422, 3417, 4849, 5597, 6979, 8130, 737, 1948, 2128, 3172, 5188, 5440, 7219, 8061, 986, 1747, 3033, 3592, 4321, 6101, 6894, 7920, 1081, 1336, 2401, 3746, 4399, 5457, 6224, 8061, 288, 1692, 2492, 4092, 5088, 5706, 6674, 7732, 610, 1206, 2251, 3410, 4459, 6123, 6692, 7298, 610, 1623, 2610, 3811, 4594, 6015, 6224, 7693, 1025, 1692, 2349, 3765, 4402, 6033, 6313, 7716, 993, 1674, 2401, 3329, 4439, 5466, 6954, 7519, 936, 1164, 2659, 3205, 4429, 5810, 7000, 8035, 807, 1326, 2214, 3234, 4539, 5584, 6948, 8203, 465, 1721, 3097, 3792, 4859, 5331, 6470, 7365, 150, 1938, 2687, 3792, 4749, 5765, 6883, 8249, 1025, 1938, 3126, 4151, 4337, 5918, 6982, 7652, 955, 1777, 2754, 3537, 5107, 6181, 6639, 7528, 401, 1543, 2440, 3740, 4447, 6215, 7129, 7248, 610, 2107, 2534, 3361, 4368, 6175, 6579, 7687, 940, 1797, 3008, 3788, 4573, 5590, 6771, 7515, 390, 2024, 2144, 3206, 5104, 5493, 7230, 7723, 228, 1345, 2172, 3746, 4974, 5963, 7043, 7838, 225, 1935, 2469, 3171, 4681, 6046, 7152, 7839, 225, 1496, 2992, 3754, 5018, 6137, 6607, 7559, 183, 1426, 2542, 3470, 4918, 5840, 6701, 8076, 183, 1496, 2860, 3723, 4870, 6065, 7091, 7563, 789, 1623, 2992, 4138, 5166, 5677, 6584, 7732, 555, 1623, 3139, 3555, 4423, 5514, 6762, 7831, 186, 2017, 3139, 3827, 4549, 5635, 6677, 7723, 555, 1147, 3133, 4026, 4387, 6129, 7207, 7766, 859, 2034, 3062, 4026, 5159, 5385, 7103, 7677, 757, 1300, 3062, 3516, 5135, 5219, 6958, 8130, 171, 1147, 2775, 3776, 5183, 5689, 7120, 7985, 1033, 1736, 2661, 3857, 4441, 5442, 6786, 7498, 1033, 1943, 2695, 3457, 4912, 6146, 6254, 7831, 1033, 1428, 2697, 4035, 5085, 6181, 6830, 7908, 1090, 1146, 2801, 3233, 4966, 5684, 6876, 7664, 610, 1809, 2440, 3602, 4287, 5586, 6566, 7557, 424, 1878, 2440, 3530, 4470, 5442, 6512, 7673, 104, 1797, 3008, 3961, 4592, 6222, 6393, 8266, 91, 1577, 2248, 3185, 4536, 5980, 7041, 7259, 424, 1918, 2544, 3370, 4266, 6073, 6630, 7717, 211, 1821, 2940, 3956, 4896, 5678, 6540, 8066, 887, 1581, 2924, 3530, 5159, 5901, 6924, 7902, 1090, 2107, 2754, 3908, 4954, 5950, 7023, 7810, 610, 1676, 2989, 4152, 5145, 5219, 6734, 7421, 1056, 1747, 3098, 4115, 5165, 5294, 7017, 7421, 288, 2095, 2222, 3916, 5038, 6205, 7111, 8076, 804, 2068, 3064, 4115, 5104, 5761, 6996, 8185, 308, 1791, 3128, 4166, 4822, 5340, 7239, 7557, 804, 1705, 3043, 3188, 4551, 6211, 6786, 7631, 308, 1218, 2838, 3982, 4366, 5635, 6979, 8195, 779, 1330, 2947, 3916, 4366, 6085, 6589, 8076, 424, 1499, 2803, 3671, 4529, 5883, 7111, 7570, 536, 1681, 2920, 3994, 4423, 5935, 6850, 8017, 650, 1989, 2532, 3681, 4766, 5543, 6755, 7290, 150, 1991, 3010, 3847, 5084, 6063, 6272, 7753, 1008, 1897, 2516, 3432, 4857, 5640, 6603, 7827, 1024, 1873, 2183, 3561, 4729, 5325, 7010, 7926, 970, 2046, 2674, 3766, 4239, 5479, 6348, 8052, 1011, 1120, 2816, 3885, 4782, 5761, 6750, 8260, 678, 1152, 2943, 3511, 4359, 5590, 6465, 7676, 1024, 2079, 2570, 4016, 4379, 6051, 6467, 7863, 970, 2046, 3056, 3453, 5096, 5858, 6810, 7383, 970, 1641, 2771, 4093, 5079, 5761, 6770, 7702, 970, 1248, 3037, 3223, 5091, 5946, 6456, 8197, 235, 1919, 2541, 4145, 4229, 5469, 6780, 8054, 913, 1685, 2887, 3950, 5014, 6114, 6921, 7594, 913, 1858, 3001, 3710, 4348, 5869, 6235, 7735, 770, 1545, 2515, 3373, 4693, 5265, 6348, 7470, 1091, 1886, 2440, 3630, 4784, 5849, 7051, 7488, 620, 1758, 2272, 3655, 4607, 5810, 6505, 7742, 981, 1758, 2710, 3384, 5194, 6024, 6348, 7587, 1011, 1758, 2871, 3776, 4912, 5746, 6468, 7674, 678, 1566, 2775, 3909, 5088, 5918, 7129, 7856, 804, 1485, 2515, 3575, 4267, 6063, 7132, 7664, 288, 1992, 2924, 4166, 5088, 5901, 6979, 8267, 678, 2063, 2775, 4124, 4387, 5661, 6413, 7716, 678, 2118, 2912, 3771, 4875, 5953, 6723, 7773, 914, 1847, 2820, 4145, 5080, 5202, 7218, 7716, 1097, 2111, 2991, 4145, 4287, 5832, 6776, 8083, 860, 2017, 2949, 4170, 4704, 6211, 7124, 8147, 201, 2017, 2914, 3367, 4704, 6139, 7124, 8147, 488, 1622, 2164, 3893, 4624, 6139, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]
[ 1, 31, 16, 5, 33, 52, 30, 16, 64, 66, 5, 64, 17, 54, 5, 17, 75, 5, 16, 5, 53, 33, 53, 28, 35, 5, 17, 75, 5, 31, 16, 5, 41, 36, 53, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8147, 488, 1622, 2914, 3893, 4624, 6129, 7124, 7949, 475, 1218, 2542, 3188, 5150, 5832, 7207, 7936, 756, 1519, 2669, 4068, 4800, 6198, 6256, 7962, 1033, 1164, 2940, 3366, 4433, 5911, 6816, 7716, 920, 1834, 3037, 3218, 5019, 5782, 6965, 7693, 443, 1692, 2601, 3366, 4595, 5603, 6965, 7530, 443, 1692, 2346, 3537, 4736, 5875, 6529, 7513, 881, 1692, 2601, 3476, 4346, 5220, 7136, 7505, 881, 1692, 2503, 3413, 4790, 5770, 6764, 7442, 806, 1706, 2994, 3219, 4346, 5748, 7119, 7973, 807, 1630, 2355, 3214, 5040, 5565, 7017, 7678, 137, 2069, 2309, 3936, 4734, 5532, 6523, 7823, 462, 1518, 2994, 4072, 4460, 5745, 6959, 7994, 896, 1389, 2830, 3480, 5081, 5867, 6442, 7817, 458, 2055, 2282, 3563, 5050, 5320, 6908, 7483, 1017, 2061, 2700, 3421, 5164, 5313, 6803, 8243, 761, 1183, 2765, 3329, 4758, 6135, 7174, 7574, 736, 1828, 2593, 4087, 4364, 6218, 6549, 7593, 900, 1830, 2140, 3601, 4639, 5321, 6401, 7973, 333, 1470, 2313, 3601, 4842, 5889, 6810, 8215, 339, 1779, 2173, 3601, 4499, 5774, 6869, 8263, 1080, 1757, 2951, 3727, 4905, 6021, 6535, 8140, 1080, 1589, 2890, 3748, 4678, 5454, 6493, 7597, 386, 2050, 2813, 3282, 4210, 6021, 6542, 7304, 643, 1740, 2832, 4122, 4248, 5621, 7046, 7684, 575, 1199, 3007, 4165, 4586, 5346, 6579, 7954, 571, 1407, 2234, 3776, 4622, 5616, 7084, 7769, 390, 1566, 2293, 3715, 4212, 5646, 6568, 8241, 756, 1982, 3026, 3424, 5183, 5493, 6947, 7919, 692, 1596, 2292, 3245, 4982, 6160, 6614, 7919, 234, 1326, 2481, 3245, 4611, 5704, 6334, 7365, 381, 1755, 2271, 3601, 4391, 6095, 6919, 7881, 1080, 1679, 2897, 3417, 5176, 6004, 6769, 7395, 1080, 1755, 2156, 3390, 4759, 6132, 6344, 8187, 981, 1421, 3020, 3284, 4901, 5652, 6259, 7848, 613, 1849, 2522, 3991, 4912, 6039, 6630, 7846, 317, 1206, 2167, 3723, 5096, 5360, 6224, 7881, 225, 2060, 2498, 3452, 4298, 6164, 6307, 7383, 225, 2060, 2654, 3316, 4459, 5723, 6859, 8261, 518, 1468, 2316, 3188, 4918, 5586, 6774, 7394, 228, 1623, 2316, 4113, 5106, 5413, 7232, 7616, 518, 2111, 2683, 3993, 4912, 5624, 7129, 7397, 240, 1488, 2959, 3440, 5159, 5963, 6917, 8080, 789, 1363, 2754, 4037, 4681, 5705, 6607, 8147, 818, 1847, 3065, 3886, 4555, 5677, 6752, 8147, 915, 1175, 3095, 4113, 4583, 5635, 7132, 8237, 789, 1750, 3007, 3407, 4798, 5892, 6604, 7949, 240, 2078, 3007, 4166, 4912, 6139, 7103, 8066, 518, 1756, 2860, 4113, 4536, 5767, 6734, 8061, 518, 1851, 3133, 4166, 4555, 5610, 7100, 8260, 195, 1750, 2683, 3838, 4423, 5296, 7100, 7664, 654, 2106, 2473, 3394, 4611, 6145, 6584, 8164, 654, 2106, 2473, 4145, 4870, 5586, 6251, 8061, 518, 2127, 2941, 3595, 5160, 6163, 6889, 8102, 654, 2060, 2729, 4145, 4512, 5514, 6889, 8076, 127, 2106, 3105, 3931, 5138, 5963, 6724, 7732, 518, 2127, 2316, 3586, 4985, 5892, 6579, 7948, 518, 1386, 2683, 3518, 5134, 6222, 7043, 8195, 1059, 1826, 3053, 3297, 4470, 5898, 6799, 7510, 392, 1424, 2925, 3380, 4611, 6114, 7013, 8006, 546, 1830, 2958, 3939, 4846, 6135, 6533, 7694, 781, 1490, 2460, 3558, 4338, 5440, 7055, 7574, 893, 1582, 2494, 4081, 4338, 5293, 6925, 7580, 581, 1337, 3037, 3752, 4338, 5804, 7228, 8265, 278, 1407, 2365, 3269, 4338, 6174, 7138, 7791, 893, 1157, 3085, 3894, 4605, 5495, 6835, 7496, 1101, 1303, 2256, 3486, 4520, 5804, 6788, 7938, 192, 1337, 2365, 3618, 4292, 5775, 6570, 8271, 1029, 1199, 2679, 3471, 4642, 5632, 7131, 8104, 508, 1783, 2159, 3178, 5198, 5237, 6541, 7835, 725, 1157, 2307, 3511, 4533, 6074, 7096, 7273, 504, 1490, 2540, 3449, 4636, 5787, 6476, 7255, 643, 1563, 2560, 3956, 4459, 5477, 6509, 7810, 1081, 1363, 2783, 3793, 4981, 5276, 6871, 7948, 678, 1831, 2629, 4115, 4533, 5980, 6677, 7996, 970, 1812, 2868, 3709, 4191, 5929, 6818, 7481, 951, 1302, 2440, 3496, 4825, 5613, 6413, 7743, 951, 1523, 3080, 3361, 4332, 5694, 6918, 7557, 913, 1463, 2638, 3649, 5036, 6080, 6668, 7677, 951, 2073, 2387, 3908, 4966, 5765, 6569, 7583, 951, 1830, 3020, 3932, 5138, 5410, 7019, 7791, 951, 2073, 2387, 3634, 4902, 5237, 7090, 7835, 951, 1770, 3054, 4145, 4966, 5424, 6612, 8063, 970, 1786, 3064, 3226, 4440, 5976, 7007, 8188, 1051, 1886, 2868, 3727, 4622, 5212, 7019, 7764, 1011, 1755, 2503, 3154, 5159, 5491, 7047, 7876, 571, 2068, 2391, 4162, 4536, 5550, 6972, 7677, 678, 1915, 2256, 4114, 4622, 5952, 6774, 7677, 951, 1705, 3053, 3932, 4966, 5899, 7023, 7917, 951, 1992, 2564, 3826, 5193, 6056, 7207, 7878, 951, 1234, 3053, 3233, 4622, 5687, 7207, 7778, 504, 1141, 2728, 3616, 4706, 5738, 6646, 7927, 951, 1778, 3092, 3956, 4609, 5350, 7149, 8237, 668, 1261, 2495, 3678, 4692, 5224, 6813, 8227, 668, 1183, 2888, 4112, 5125, 5608, 6461, 8133, 893, 1183, 2807, 3322, 4319, 5713, 6614, 7481, 665, 1293, 2495, 4101, 4591, 5538, 7000, 7809, 271, 1542, 2452, 3249, 4201, 6055, 6731, 7983, 1090, 1660, 2348, 4164, 4579, 5841, 7164, 7905, 390, 1581, 2730, 3990, 4470, 5767, 7217, 7783, 750, 1995, 3112, 4114, 4235, 5981, 6922, 7532, 1035, 1898, 2454, 4085, 5141, 6181, 7165, 7337, 802, 1700, 2373, 3713, 5106, 5716, 7037, 7420, 1028, 1199, 2495, 3442, 5148, 5395, 6545, 7762, 137, 2050, 2726, 3552, 5175, 5620, 6542, 7393, 277, 2050, 2222, 4110, 4760, 6180, 7123, 7602, 802, 1468, 3112, 3634, 4755, 6223, 6235, 8140, 335, 1350, 2241, 3358, 5156, 5684, 7069, 8152, 610, 1350, 2794, 3706, 5011, 5761, 6929, 8205, 610, 1350, 2794, 3438, 5092, 5233, 7002, 8034, 160, 1924, 3092, 3727, 4451, 6067, 6677, 8227, 160, 1924, 2207, 3430, 4846, 6083, 6319, 8016, 160, 2053, 2868, 3870, 5145, 6056, 6813, 7952, 160, 2053, 2868, 3932, 4882, 5500, 6267, 7865, 160, 2053, 2868, 3391, 5169, 5523, 6719, 8107, 1004, 1972, 2757, 3224, 4536, 5276, 6281, 8056, 1070, 1708, 2183, 3356, 4874, 6207, 6704, 7905, 781, 1179, 3040, 3775, 5121, 5722, 6680, 7900, 761, 2100, 3040, 3329, 5125, 5716, 6790, 7438, 761, 1924, 3040, 3181, 5011, 5365, 7238, 7772, 1035, 2001, 2677, 3425, 4766, 5573, 6234, 8250, 1033, 1948, 2207, 3845, 4297, 5260, 7004, 7602, 1071, 1167, 2695, 3870, 4346, 6024, 7028, 7852, 150, 1797, 2923, 3671, 5114, 5899, 6265, 7305, 160, 1924, 2946, 3201, 4374, 6180, 6302, 7508, 160, 1670, 2163, 3167, 5169, 5350, 6967, 8083, 610, 1797, 2924, 3826, 4785, 5565, 6485, 7707, 424, 1797, 2991, 3873, 5115, 6131, 6719, 8261, 1090, 2125, 3007, 3961, 5106, 6182, 7006, 7898, 1057, 1809, 2398, 3478, 4903, 5345, 6664, 8218, 938, 1407, 2258, 3701, 4734, 5814, 6281, 7906, 1005, 1350, 2878, 3998, 5164, 6120, 6655, 8126, 641, 1759, 2878, 3437, 4235, 6000, 7221, 7652, 641, 2055, 2878, 3731, 4635, 5713, 7127, 7500, 1001, 2055, 2511, 3566, 4896, 5523, 6244, 7572, 1001, 2055, 2511, 3498, 5017, 5650, 7053, 7525, 1001, 1937, 2440, 3736, 4238, 6002, 6871, 7627, 1001, 1674, 2376, 3826, 5145, 5202, 6840, 7462, 373, 1843, 2129, 3352, 4348, 6147, 7085, 7737, 715, 1608, 2988, 3352, 5019, 5836, 6255, 8267, 878, 1989, 2998, 4068, 4764, 5705, 7096, 7687, 833, 1275, 3092, 3895, 4856, 5855, 6709, 8267, 211, 1600, 2860, 4143, 4374, 6014, 7152, 8237, 304, 1833, 3006, 3516, 5038, 6146, 6972, 8107, 304, 1833, 3038, 3513, 5165, 6085, 6415, 7557, 448, 1865, 2554, 3229, 4764, 5942, 6614, 7633, 884, 1265, 3037, 3727, 5031, 5422, 6992, 7428, 802, 1543, 2205, 4160, 4205, 5470, 7151, 8151, 803, 1562, 3040, 3548, 4464, 5345, 6360, 7516, 1033, 1337, 2258, 3356, 4364, 5576, 6802, 7704, 756, 1991, 3086, 3920, 4339, 5439, 6784, 7559, 518, 2106, 2989, 3562, 4885, 5219, 6612, 7962, 518, 2106, 3092, 3866, 4423, 5776, 6671, 7992, 489, 1280, 3061, 3932, 4863, 6060, 6612, 8237, 878, 1750, 2391, 3364, 4622, 5837, 6338, 8209, 878, 1525, 2729, 4152, 4459, 6092, 7157, 8179, 518, 1750, 2560, 3206, 4844, 5630, 6740, 7865, 901, 2098, 2468, 3681, 4192, 6121, 6984, 7397, 568, 1865, 2858, 3645, 5079, 5804, 6892, 7494, 153, 1141, 2834, 3945, 4423, 5493, 6338, 8107, 731, 1763, 2936, 3488, 5120, 5641, 6265, 7939, 814, 1676, 2576, 3246, 4301, 5396, 6235, 8063, 802, 1412, 2511, 4067, 4657, 5289, 6642, 7842, 802, 1477, 2267, 3304, 4556, 6082, 6458, 7710, 1001, 1403, 2256, 3273, 4801, 5703, 6872, 7846, 802, 1477, 2656, 3290, 4382, 5800, 6813, 7710, 1005, 2051, 2797, 3154, 4510, 6137, 7190, 7480, 665, 1608, 2432, 4004, 4212, 5600, 7194, 8197, 569, 1337, 2621, 3455, 4739, 5835, 7140, 8047, 974, 1736, 2432, 3246, 4990, 5797, 6414, 8206, 339, 1809, 2242, 4073, 4552, 5734, 7071, 7592, 662, 1335, 2758, 3455, 4982, 6013, 6235, 7508, 693, 2086, 2857, 4120, 5115, 5558, 6959, 7467, 693, 1828, 2533, 3792, 5195, 5787, 6994, 7643, 482, 1930, 2758, 4120, 4555, 5325, 6818, 8173, 981, 1248, 2440, 3421, 5154, 5568, 6436, 7863, 1084, 1743, 2142, 3944, 4363, 5652, 6898, 7965, 1025, 1240, 2975, 3660, 4651, 5632, 6719, 8126, 424, 1146, 2905, 3307, 4960, 5527, 6422, 7815, 1090, 1296, 2783, 3679, 4575, 5436, 7230, 7631, 610, 2015, 2555, 4025, 4547, 5586, 6668, 7583, 424, 1306, 2440, 3513, 4206, 6007, 7114, 7737, 887, 1317, 2877, 4073, 4780, 5202, 6307, 7902, 104, 1141, 2661, 3964, 4780, 5431, 6614, 7745, 104, 1733, 2661, 3589, 4807, 5590, 7017, 7476, 887, 1494, 2661, 3395, 4807, 5438, 7042, 8121, 1013, 1407, 2366, 3496, 4440, 6131, 6782, 8050, 536, 1865, 2345, 3259, 4604, 5934, 6560, 8224, 645, 1934, 2679, 3323, 5064, 5286, 6267, 7592, 955, 2065, 2307, 3177, 5022, 6080, 6726, 7256, 1099, 1998, 2947, 3710, 5166, 6123, 6891, 7428, 1097, 2032, 2679, 3932, 5139, 6195, 7132, 7876, 935, 2017, 3008, 3945, 4713, 6085, 7207, 7918, 1097, 1992, 2803, 3226, 5159, 6139, 6588, 8179, 1097, 2000, 2947, 3825, 4980, 5635, 7006, 7557, 186, 1622, 2838, 3891, 5080, 6139, 7226, 8260, 555, 2111, 2991, 3540, 5058, 6186, 7058, 8223, 555, 1648, 2970, 3891, 4704, 5811, 6612, 8066, 555, 1648, 2918, 3595, 5080, 5219, 6677, 8179, 555, 1791, 3110, 3595, 5159, 6182, 6752, 7664, 4, 2 ]
[ 1, 28, 17, 66, 5, 43, 11, 63, 65, 5, 43, 77, 73, 53, 16, 54, 5, 28, 48, 44, 55, 78, 5, 64, 66, 69, 30, 5, 28, 44, 66, 76, 48, 54, 5, 43, 45, 53, 5, 16, 54, 30, 5, 31, 33, 53, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7124, 8147, 488, 2017, 2914, 3893, 5038, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3825, 4798, 6081, 6794, 7766, 756, 1623, 2988, 3470, 5061, 5811, 6540, 8126, 1033, 1141, 2975, 4168, 5134, 5210, 6979, 7965, 942, 1675, 3089, 3771, 4728, 5315, 6255, 8080, 1005, 2125, 2355, 3771, 4558, 5631, 6932, 7409, 776, 1141, 2300, 3583, 4691, 5496, 7154, 8108, 715, 1330, 2895, 3680, 5171, 6136, 7160, 7800, 105, 1467, 2801, 3710, 4844, 5749, 6870, 8245, 874, 1915, 2709, 3364, 4344, 5269, 6291, 7555, 256, 1623, 2936, 3543, 4638, 6034, 6671, 7664, 403, 1116, 3035, 3788, 4948, 5216, 6637, 8120, 891, 1865, 2560, 3795, 4915, 6003, 6609, 8092, 857, 1496, 2163, 3175, 5160, 5923, 7085, 8006, 871, 1827, 2361, 3680, 4215, 5721, 7128, 7586, 891, 1199, 2254, 4149, 4437, 5471, 6612, 7910, 373, 1591, 2890, 3413, 4773, 5519, 6347, 7838, 980, 1877, 3003, 3819, 4808, 5359, 6480, 7265, 891, 1615, 2764, 3701, 4570, 5966, 6382, 7992, 895, 1757, 2603, 4097, 4196, 5604, 6945, 7918, 271, 1483, 2247, 3938, 4501, 5491, 7108, 7812, 1041, 1499, 2948, 3869, 4636, 5862, 6726, 8229, 840, 1780, 2751, 3880, 4591, 6071, 6956, 7510, 536, 1454, 2670, 3953, 4409, 6176, 6224, 7629, 113, 1199, 2715, 4140, 4909, 5704, 6751, 8189, 1057, 1199, 2964, 3380, 5144, 5474, 7138, 7831, 1081, 1309, 3010, 3751, 4900, 5212, 6470, 7503, 887, 1664, 2678, 3873, 4606, 5453, 6614, 7676, 1005, 1897, 2564, 3696, 4323, 6183, 6537, 8153, 373, 1682, 2801, 3259, 4609, 5968, 6437, 8122, 887, 1324, 2564, 3206, 4856, 5205, 7010, 7583, 1081, 1403, 2586, 3224, 4690, 5573, 7019, 7761, 610, 1758, 2924, 3544, 4191, 5439, 6401, 8030, 211, 2065, 2144, 3669, 4615, 5621, 7201, 7842, 684, 1963, 3135, 3533, 4622, 5883, 6988, 8179, 859, 1116, 2771, 3873, 4777, 6007, 7201, 7717, 757, 2127, 2725, 3911, 4549, 5715, 6646, 8088, 118, 1286, 2469, 4166, 4617, 5548, 6542, 7311, 183, 1623, 2242, 3951, 4888, 5436, 6430, 8130, 757, 1269, 3133, 3880, 4913, 6160, 7043, 7628, 183, 2106, 2839, 3904, 4762, 5368, 6238, 7919, 183, 1286, 3144, 3966, 4918, 5514, 6515, 7602, 183, 1286, 3147, 4026, 4855, 5515, 7152, 7716, 183, 1286, 3139, 3680, 4549, 5942, 7120, 8261, 757, 1286, 2944, 4144, 5159, 6097, 6313, 8240, 859, 2127, 3133, 4071, 4870, 5844, 6677, 8236, 105, 2106, 2970, 3470, 4398, 5385, 7019, 8076, 859, 2127, 2806, 3470, 4398, 5413, 7077, 7717, 859, 1623, 3064, 3407, 5060, 6081, 6752, 7865, 555, 1623, 3021, 3803, 4549, 5550, 7226, 7766, 915, 1528, 3021, 3893, 4549, 5548, 6589, 7706, 915, 1623, 3062, 3914, 4387, 5892, 7120, 7766, 555, 2017, 3021, 4145, 4624, 5811, 6589, 8196, 915, 1623, 2914, 3893, 4549, 5635, 7226, 8196, 555, 1623, 3062, 3893, 4798, 5635, 7226, 7715, 105, 1623, 2880, 3407, 4681, 5550, 7207, 7485, 105, 1304, 2740, 3407, 5083, 6211, 6708, 7631, 183, 1141, 3046, 3914, 4888, 5514, 7084, 7949, 183, 1750, 2970, 3518, 4214, 6129, 7239, 8066, 513, 1906, 2370, 3664, 5160, 5436, 6613, 7698, 952, 1519, 2944, 3918, 4918, 5270, 6840, 7716, 160, 1906, 3062, 3949, 4651, 5918, 6696, 7717, 104, 2125, 2401, 3475, 4220, 6123, 6224, 7297, 1025, 1918, 2801, 3943, 4385, 5276, 7237, 8114, 487, 1238, 2874, 3380, 4185, 5762, 6671, 7861, 443, 1397, 2629, 4166, 4873, 5331, 7012, 7966, 104, 1171, 2946, 3232, 5122, 5574, 7069, 7858, 850, 1676, 2163, 3704, 4942, 5485, 7041, 7488, 826, 1858, 2129, 3999, 5100, 5727, 7053, 7962, 778, 1499, 2946, 3885, 5180, 5761, 6338, 7962, 887, 1227, 2797, 3755, 4670, 5350, 6604, 7641, 104, 1289, 2731, 3540, 4278, 6002, 7173, 7829, 1025, 1850, 2810, 3740, 4592, 5695, 6301, 8041, 610, 1809, 2502, 3870, 4318, 5893, 6891, 7591, 610, 1878, 2389, 4080, 5106, 5761, 7030, 7794, 887, 1939, 2661, 3533, 4573, 5557, 7037, 7591, 895, 1770, 3135, 3310, 4440, 5433, 7100, 7816, 271, 2079, 2775, 3448, 5020, 5413, 6333, 7959, 610, 1350, 2401, 3771, 4470, 5761, 6556, 7838, 610, 1676, 2750, 4098, 5153, 6070, 6776, 7774, 887, 1881, 2937, 3917, 5169, 5435, 6809, 8209, 104, 1227, 2731, 3533, 4622, 5534, 7220, 8209, 1025, 2079, 2582, 3187, 5165, 6146, 6708, 8260, 610, 1238, 3064, 3671, 5153, 6103, 7006, 7421, 779, 1534, 3098, 3162, 4782, 5630, 7152, 7887, 308, 1944, 2880, 3516, 4287, 6123, 7239, 7421, 1099, 2046, 2947, 4071, 5080, 6129, 6709, 8260, 1097, 1998, 2960, 4108, 5166, 6129, 6515, 7723, 952, 1455, 2771, 3662, 4617, 6039, 7162, 7962, 986, 1397, 2555, 3307, 4180, 6181, 7230, 8268, 807, 1335, 2282, 3714, 4792, 5652, 7100, 8117, 582, 1553, 3080, 3421, 4218, 5643, 6917, 8215, 986, 1932, 2751, 3776, 4670, 5938, 7003, 7631, 487, 1717, 2491, 3417, 4881, 5509, 6251, 7487, 545, 1700, 3116, 4103, 5193, 5435, 6414, 7479, 391, 1550, 2741, 3741, 4345, 5263, 6765, 8037, 1090, 1918, 2990, 3986, 4881, 5938, 7129, 7697, 424, 2008, 2890, 3298, 4364, 5532, 7152, 8236, 582, 2063, 2610, 3521, 4351, 5212, 6443, 8185, 1003, 2024, 2818, 3582, 4925, 5615, 6893, 7542, 610, 1834, 2163, 3424, 4334, 5942, 7229, 7965, 731, 2008, 2728, 3395, 4218, 5325, 6670, 7862, 424, 1919, 2131, 3679, 4691, 5325, 7048, 7732, 1025, 1399, 2661, 3581, 4604, 6056, 6871, 7485, 424, 1978, 3101, 3428, 4912, 6191, 6515, 8150, 850, 1676, 3006, 3361, 4592, 5981, 6667, 8132, 610, 2009, 2783, 3380, 5100, 5767, 7168, 8009, 610, 1499, 2946, 3917, 4586, 5360, 7207, 7806, 610, 1858, 3043, 3671, 5165, 6128, 7239, 8179, 610, 1797, 2492, 3231, 4985, 5493, 7004, 8083, 390, 1915, 2946, 3201, 5145, 6085, 7132, 8080, 512, 2046, 3064, 4108, 5096, 5883, 6515, 7811, 568, 1176, 3064, 3824, 5081, 5899, 6613, 7657, 225, 1210, 2288, 3344, 4282, 5706, 7049, 8132, 225, 1570, 3114, 3662, 4329, 5678, 6604, 8076, 225, 2002, 2897, 4171, 5134, 5514, 6607, 7962, 228, 1468, 2833, 3550, 4225, 5493, 7152, 8267, 228, 2061, 2251, 3515, 5135, 5734, 7077, 8164, 543, 1426, 3133, 3994, 4555, 5901, 6607, 8061, 915, 1468, 3008, 3374, 5166, 6081, 7077, 7677, 818, 2017, 2806, 3893, 4704, 5832, 7226, 8237, 105, 1304, 2988, 3914, 4923, 5223, 6302, 8066, 489, 2111, 3064, 3413, 4512, 6130, 7037, 7721, 211, 2085, 2959, 3975, 4384, 5656, 6314, 8118, 716, 1296, 2293, 3864, 5050, 6073, 6601, 7293, 936, 1773, 2436, 3201, 4285, 5444, 6500, 8099, 650, 2117, 2744, 3922, 5098, 6069, 6803, 7755, 1057, 1171, 2750, 4126, 5026, 6063, 7044, 8103, 1090, 2106, 2396, 4027, 4513, 5564, 6668, 8066, 1056, 2125, 2586, 3487, 4186, 5834, 7006, 8107, 308, 1791, 2924, 3803, 4470, 5661, 6972, 8080, 779, 1534, 2783, 4115, 5080, 5635, 6668, 7421, 1056, 1675, 3064, 3188, 5166, 6211, 6786, 7764, 211, 2063, 2582, 3803, 4888, 5832, 6540, 7806, 779, 1963, 3064, 3990, 5061, 6081, 6972, 8196, 1056, 1675, 3064, 3188, 5061, 5635, 6972, 8237, 884, 1942, 2436, 3266, 4651, 6159, 6348, 8269, 826, 1782, 3075, 3580, 4604, 5616, 7181, 8178, 986, 1978, 3101, 3936, 4354, 5884, 6734, 7568, 582, 2079, 3116, 3918, 4458, 6111, 7086, 8188, 859, 1791, 3098, 4108, 5083, 5527, 6809, 7641, 915, 1467, 2880, 4011, 5058, 5340, 6988, 8147, 419, 1620, 2925, 4108, 4762, 6103, 6786, 7838, 568, 1372, 2560, 3391, 4512, 5870, 7120, 8126, 568, 1147, 2542, 4092, 4743, 5811, 6338, 7563, 617, 2106, 3026, 3470, 5188, 5956, 7120, 8066, 171, 1604, 2975, 3891, 5034, 6205, 6688, 7579, 473, 1141, 2856, 4018, 4877, 5536, 7095, 7383, 833, 1173, 2771, 3932, 4651, 5555, 6668, 8185, 955, 1833, 2924, 3191, 5038, 5873, 7084, 7887, 1033, 1428, 2383, 3909, 4470, 5590, 6589, 7806, 887, 1850, 3092, 3918, 4501, 6103, 6979, 7846, 887, 1860, 2582, 3870, 4536, 5899, 7237, 8260, 104, 1773, 2282, 3522, 4611, 5204, 6799, 8028, 1025, 1942, 2254, 4106, 5088, 6035, 6493, 7313, 826, 1550, 3075, 4126, 4604, 5740, 6265, 7574, 986, 1771, 2429, 3472, 4303, 5836, 6840, 8139, 887, 2033, 2515, 3796, 4720, 5640, 6840, 7873, 104, 1550, 2678, 3962, 5110, 5266, 6769, 7367, 104, 1550, 2678, 3949, 5159, 6163, 6603, 7275, 1090, 1167, 2783, 3756, 4615, 5565, 6614, 7960, 1090, 1721, 2960, 3982, 4215, 5767, 6709, 7908, 304, 1721, 2781, 3516, 4890, 6195, 7201, 7919, 304, 1721, 2781, 3945, 5153, 6182, 6988, 8237, 1090, 1721, 2783, 4006, 5058, 6146, 6614, 7908, 1090, 1797, 2422, 3827, 5153, 5855, 6642, 7810, 390, 1897, 2315, 4018, 4980, 5573, 7237, 8267, 390, 1945, 3021, 4011, 5145, 5436, 6630, 7723, 103, 2125, 2970, 3681, 4966, 5276, 6414, 7591, 211, 1238, 2936, 3502, 4387, 6182, 6651, 7873, 211, 1998, 2924, 3994, 4337, 5650, 6702, 7895, 211, 1523, 2839, 3912, 4592, 5204, 7120, 7476, 643, 1281, 2838, 3420, 4925, 5548, 6809, 7706, 970, 1692, 2912, 3420, 4521, 6194, 7156, 7905, 692, 1550, 2134, 3500, 5143, 5216, 6449, 7767, 582, 1545, 2830, 3466, 5179, 6194, 6343, 8189, 1036, 1637, 2137, 3248, 5005, 5277, 6449, 7592, 1024, 1550, 3031, 3807, 5097, 5852, 6501, 7636, 643, 1370, 2359, 3361, 4539, 5523, 6467, 7262, 150, 1826, 2258, 3393, 4497, 6118, 7129, 7712, 211, 1250, 2163, 3866, 5153, 5673, 6581, 8132, 610, 1771, 2794, 3581, 4993, 5210, 7149, 7570, 610, 1255, 2389, 3937, 4993, 5536, 6401, 8121, 610, 1393, 3092, 3410, 4623, 5575, 7084, 7557, 1081, 1878, 3053, 3410, 4470, 5599, 6283, 7397, 887, 1978, 3064, 3671, 4981, 5379, 7207, 7687, 1090, 1682, 2492, 3253, 4179, 5749, 7157, 8093, 1025, 1797, 3008, 3440, 5166, 5761, 6668, 8195, 1025, 1797, 3064, 3440, 4780, 6129, 6903, 8076, 940, 1797, 2946, 3440, 4592, 5534, 7207, 8185, 951, 1852, 2598, 4145, 4282, 6070, 7142, 7664, 1047, 1526, 2959, 3710, 4440, 5573, 6774, 8213, 899, 1349, 2941, 3226, 4980, 6075, 7160, 7582, 537, 2100, 2941, 3965, 4870, 5678, 7010, 8061, 987, 1349, 2165, 3754, 4189, 5216, 6967, 7657, 1088, 1706, 2633, 3512, 4344, 5234, 6307, 8181, 247, 1948, 2981, 3216, 5154, 5445, 6510, 8081, 492, 1707, 3011, 3755, 5039, 6147, 6918, 8210, 113, 1728, 2383, 3394, 5127, 5341, 7048, 7777, 1066, 1421, 2381, 3261, 4678, 5860, 6411, 8079, 1090, 1660, 2429, 4068, 5104, 5305, 6603, 8237, 1025, 1671, 2429, 3826, 4469, 5406, 6612, 7957, 610, 1200, 3080, 3732, 5096, 5573, 6515, 7821, 1025, 1797, 2444, 4145, 5166, 5981, 7023, 7856, 160, 1777, 2258, 4031, 4536, 5661, 7160, 7367, 1090, 1682, 2783, 4096, 4179, 5968, 6979, 7469, 304, 1721, 3128, 4071, 5125, 6129, 7160, 8147, 304, 1721, 2340, 3945, 4583, 6182, 7111, 7631, 684, 2107, 2803, 3886, 5166, 5883, 7160, 8066, 804, 1370, 2542, 3516, 4859, 6205, 6612, 7421, 715, 1797, 3008, 3511, 4782, 5755, 7084, 7421, 448, 1826, 2905, 3989, 4326, 5767, 6961, 7813, 545, 1821, 3036, 4128, 4476, 5323, 6875, 7672, 986, 1110, 3040, 4122, 5073, 5867, 6521, 7555, 265, 1185, 3037, 3931, 4536, 6171, 6666, 7894, 223, 1938, 2726, 3513, 4915, 5532, 6901, 7873, 986, 2028, 3140, 3172, 4254, 6107, 6382, 7678, 504, 1206, 2671, 4112, 5097, 5460, 6857, 7637, 807, 2052, 2245, 3690, 5014, 5257, 6563, 7650, 150, 2027, 2755, 3248, 4318, 6118, 6870, 7976, 952, 1818, 3049, 3393, 5193, 6118, 7059, 7795, 1029, 2118, 2755, 4142, 4215, 5205, 6929, 7990, 1005, 1296, 2554, 3390, 4719, 5577, 7229, 7895, 776, 1728, 3088, 3425, 4719, 5454, 6632, 7964, 610, 1540, 2389, 3918, 4212, 5650, 6668, 8172, 104, 1717, 2515, 4152, 4883, 5378, 7012, 7723, 610, 1577, 2582, 3901, 5088, 6050, 6972, 7821, 831, 1778, 2794, 3671, 5104, 5761, 7090, 8261, 610, 2063, 2924, 4145, 5122, 5534, 7075, 7865, 1090, 2107, 2750, 4068, 4782, 5534, 7181, 7555, 424, 1931, 3080, 3361, 4981, 5378, 6809, 8213, 663, 1821, 2946, 3826, 4379, 6084, 7069, 7466, 831, 1978, 3098, 3671, 5073, 5678, 7207, 7720, 610, 1577, 2515, 3766, 4983, 5630, 7207, 7918, 1090, 1369, 2515, 3909, 4586, 5300, 6709, 7716, 424, 1238, 2946, 3870, 5096, 5804, 6967, 7515, 192, 1444, 3038, 3960, 4197, 5766, 6706, 8164, 508, 1139, 2758, 3500, 4949, 5631, 6422, 7828, 776, 1139, 2452, 3343, 4335, 5724, 6630, 7255, 804, 2065, 3007, 3175, 4867, 5216, 6668, 8195, 186, 2065, 2947, 4071, 5106, 5340, 6852, 7664, 142, 1528, 3110, 3803, 4704, 5340, 7023, 7753, 818, 1791, 2164, 3803, 4798, 5241, 6752, 7876, 818, 1528, 2991, 3825, 5080, 6139, 6794, 7949, 4, 2 ]
[ 1, 67, 14, 55, 51, 5, 77, 73, 5, 5, 5, 53, 26, 5, 30, 45, 63, 5, 5, 5, 43, 48, 5, 64, 33, 30, 5, 5, 5, 50, 33, 54, 66, 52, 47, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 915, 1851, 2806, 3914, 4624, 5963, 7006, 8237, 915, 1851, 2806, 3364, 4583, 5296, 6604, 8223, 915, 2017, 2473, 3893, 4798, 5493, 7006, 7563, 899, 2030, 2641, 4011, 4541, 5705, 6909, 8167, 500, 2118, 2943, 3359, 4427, 5809, 6962, 8150, 216, 2045, 2980, 3680, 5193, 5296, 6765, 7476, 640, 1180, 3137, 3253, 4321, 5332, 7094, 7248, 249, 1543, 2869, 3520, 4664, 5982, 6941, 7610, 363, 1884, 3103, 3279, 4755, 5533, 6554, 8015, 1023, 1820, 2343, 3419, 4612, 5581, 7128, 7438, 465, 1397, 2761, 3181, 4539, 5624, 6626, 7497, 443, 1561, 3029, 4146, 4546, 5506, 6886, 7741, 487, 1581, 2348, 4162, 4364, 5200, 7181, 7800, 831, 1577, 2543, 3464, 5122, 5500, 7028, 7774, 390, 1489, 2533, 4055, 5088, 6175, 6822, 7720, 288, 1467, 2419, 3914, 5088, 6181, 6776, 7673, 709, 1562, 3008, 3617, 5169, 5385, 6810, 7715, 859, 1623, 2926, 3795, 4556, 5873, 6340, 7515, 568, 2043, 2818, 4080, 4923, 5308, 6671, 7887, 356, 2078, 2854, 3726, 4529, 5296, 6242, 8016, 105, 2078, 3046, 3550, 4586, 5296, 7051, 8245, 356, 1963, 2875, 3407, 5104, 5438, 6776, 8195, 750, 1116, 2838, 3861, 4191, 5216, 6426, 7515, 955, 2113, 2792, 3766, 4594, 5485, 6811, 7311, 1035, 1561, 2895, 3823, 4277, 5223, 6769, 8172, 104, 1586, 2797, 3714, 4942, 6163, 6894, 7877, 391, 1322, 2552, 3298, 5004, 5811, 7114, 8156, 104, 1275, 2429, 4162, 5183, 6123, 7090, 7397, 826, 1141, 2463, 3937, 5088, 5904, 7099, 8035, 1024, 1269, 2648, 3170, 4736, 6007, 6360, 8247, 980, 1269, 2136, 3207, 4627, 5832, 7014, 7843, 831, 1164, 2678, 3961, 5006, 5890, 6270, 8093, 424, 1931, 3080, 3917, 4234, 5953, 6972, 7829, 391, 1455, 2944, 3479, 4993, 5573, 6614, 8126, 937, 1858, 2365, 3999, 5110, 5305, 7149, 8117, 204, 1773, 3033, 4005, 5022, 5276, 6569, 7937, 535, 1757, 2840, 4168, 4809, 5891, 6554, 7718, 1036, 1404, 2165, 3408, 5149, 6202, 6426, 7358, 1101, 1919, 2159, 3152, 4205, 5461, 7212, 7962, 293, 1397, 2408, 3775, 4855, 5450, 6828, 8006, 840, 1967, 2972, 3421, 4338, 5526, 7001, 7974, 113, 1650, 2629, 3568, 4832, 5790, 6929, 7724, 672, 1286, 2346, 3647, 5186, 5401, 6570, 8165, 547, 1918, 2131, 3373, 4678, 5765, 6965, 7834, 487, 1504, 2210, 3894, 4709, 6187, 6593, 7293, 880, 1640, 2783, 3668, 4606, 5615, 6302, 7675, 709, 1992, 2729, 4145, 4235, 5710, 6850, 7542, 684, 2046, 2436, 4074, 4895, 5548, 6980, 7716, 571, 1945, 3098, 4085, 4670, 5705, 6382, 7664, 684, 1455, 2838, 3981, 4888, 6205, 6852, 7764, 709, 1827, 2960, 3206, 4435, 5705, 6980, 7631, 143, 1397, 3008, 3515, 4582, 5924, 7047, 8252, 722, 1206, 2717, 3994, 4538, 5924, 7207, 8200, 614, 1942, 2794, 3374, 5125, 6033, 7076, 8213, 862, 1397, 2399, 3300, 4582, 5549, 7246, 8214, 569, 1942, 2946, 3741, 5169, 5589, 6556, 8165, 614, 1942, 2794, 3472, 5054, 5341, 6892, 7602, 545, 1164, 2366, 3487, 4831, 5918, 7165, 7490, 1049, 1118, 2751, 3521, 4371, 6034, 6849, 8207, 487, 1324, 2309, 3603, 4705, 5769, 7152, 8195, 1024, 1732, 2678, 3159, 5184, 5730, 6670, 8117, 1024, 1182, 2708, 3751, 5050, 5751, 7037, 7932, 725, 1397, 2669, 3910, 4814, 5721, 6273, 7383, 575, 1411, 2629, 3979, 4631, 5325, 6595, 7784, 504, 1552, 2598, 4003, 4575, 5672, 6844, 8061, 981, 1711, 3013, 3609, 4522, 5982, 6504, 7878, 1022, 1586, 2553, 3514, 4484, 6073, 6251, 7652, 1001, 1732, 2378, 3360, 4461, 5216, 6365, 8012, 981, 1758, 2980, 3820, 4205, 5942, 6654, 7363, 271, 1590, 2348, 4087, 4383, 5828, 7157, 7696, 913, 1209, 2492, 3956, 5134, 5835, 7047, 7312, 1024, 1510, 2598, 3271, 4497, 5428, 6910, 7419, 547, 1510, 2766, 4053, 4266, 6135, 6346, 7855, 778, 1510, 2861, 3384, 5070, 5321, 6348, 7856, 1003, 1139, 2436, 4098, 4758, 5264, 7168, 7844, 610, 1992, 2946, 4146, 4533, 6163, 6910, 7807, 1090, 1363, 2586, 3232, 5006, 5834, 7207, 8209, 512, 1323, 2936, 4168, 4670, 5981, 7201, 8179, 1099, 1963, 2946, 3891, 4287, 5974, 6507, 8147, 1097, 2041, 2925, 4071, 4888, 5385, 7207, 7631, 488, 2111, 3117, 3645, 4366, 6051, 6515, 8260, 488, 1528, 2806, 3710, 4888, 5210, 7077, 7876, 818, 2017, 2914, 3893, 4624, 6139, 7226, 8147, 488, 1528, 3117, 3367, 4624, 6139, 7077, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1528, 2164, 3893, 4624, 6186, 7077, 8223, 915, 1876, 3095, 3914, 4798, 6186, 7201, 7806, 1099, 1876, 3065, 4108, 5104, 5612, 6584, 8237, 1099, 1304, 2941, 3873, 5038, 5612, 7160, 7949, 160, 1561, 2542, 3732, 4555, 6000, 6772, 7383, 569, 1550, 2492, 3192, 4995, 5269, 6918, 7627, 1003, 1942, 2288, 3560, 5180, 5269, 6765, 8234, 952, 1831, 2440, 3695, 4902, 5918, 7048, 8108, 715, 1489, 3098, 3894, 4218, 5697, 7149, 7614, 317, 1782, 2988, 4066, 4700, 6123, 6884, 7962, 195, 1186, 2242, 3205, 4541, 5727, 6476, 8022, 195, 2127, 2970, 3550, 4701, 5727, 7024, 7811, 654, 2034, 2953, 3827, 4993, 5534, 6453, 7716, 127, 1684, 3133, 4006, 4344, 5767, 7239, 8118, 518, 1684, 2251, 3595, 5159, 6146, 7120, 7717, 256, 1684, 2944, 3914, 4329, 5390, 6443, 7476, 337, 1620, 3128, 4145, 4611, 6129, 7129, 7421, 223, 1265, 2332, 4003, 4775, 5752, 6919, 8118, 862, 1349, 2902, 3913, 4530, 5889, 6603, 7321, 683, 1461, 2527, 3741, 4664, 5953, 6913, 7549, 247, 1942, 2901, 3417, 5016, 5557, 6805, 7817, 807, 1691, 2196, 3792, 4538, 5714, 6680, 7502, 970, 1485, 2401, 3904, 5097, 5903, 7072, 7980, 684, 1623, 2128, 4006, 5020, 6025, 7207, 7887, 390, 1881, 2315, 4171, 5159, 6063, 7084, 7631, 571, 1182, 2947, 3188, 4551, 5678, 7237, 8179, 571, 1945, 2793, 3982, 4630, 5993, 6515, 8070, 356, 1706, 3144, 3904, 4180, 5325, 6884, 7448, 699, 1706, 2349, 3359, 5135, 5984, 7012, 8025, 225, 1685, 2875, 4145, 4890, 5220, 7197, 8236, 118, 1865, 2717, 3900, 5115, 5503, 6603, 8106, 844, 1388, 2918, 4143, 5048, 5292, 6849, 7717, 752, 1873, 2492, 4143, 4522, 5479, 6789, 7716, 993, 1455, 2315, 3341, 4604, 5709, 6884, 7816, 862, 2107, 2741, 3613, 4498, 5942, 6708, 7986, 862, 1639, 3080, 3877, 5124, 5792, 6532, 7549, 938, 1349, 2720, 3916, 4318, 5745, 6847, 8270, 266, 1349, 2491, 3485, 4275, 5934, 6783, 8019, 504, 1496, 2156, 3210, 4617, 5509, 6240, 8117, 1056, 1682, 3098, 3771, 4813, 6063, 7044, 7908, 980, 1943, 3098, 4145, 5169, 5216, 6809, 7492, 304, 1430, 2292, 3277, 4589, 6051, 7019, 8236, 980, 1721, 3043, 3516, 5165, 6058, 7207, 7421, 804, 1705, 2661, 4068, 4870, 5765, 7010, 7716, 555, 1623, 2957, 3803, 5106, 5981, 6752, 7421, 510, 2091, 2989, 4170, 4867, 5241, 7006, 7723, 568, 1510, 2617, 3798, 4429, 6097, 6751, 7717, 617, 2073, 2904, 3994, 5088, 6007, 6840, 8009, 484, 1974, 2846, 3253, 5101, 6085, 7047, 8267, 211, 2088, 2582, 4166, 4630, 5219, 6677, 7876, 650, 1463, 2366, 3956, 4691, 5687, 6852, 7476, 547, 2107, 2429, 4004, 5092, 6114, 6535, 8173, 504, 1827, 3130, 3165, 4699, 5844, 6352, 7714, 913, 1826, 2924, 3424, 4311, 5524, 6349, 7397, 1036, 1510, 3032, 3943, 4434, 5810, 6510, 7453, 692, 1918, 2724, 4007, 4985, 5208, 6520, 8235, 585, 1455, 2821, 3986, 4986, 6048, 6476, 7687, 668, 1732, 2881, 3943, 4831, 5706, 6426, 7457, 1024, 1918, 2621, 3935, 4374, 5613, 6740, 7702, 725, 1842, 2381, 3986, 5134, 5971, 6654, 8139, 643, 1536, 2515, 3262, 4494, 6041, 6918, 7261, 970, 1942, 2352, 3655, 4437, 6119, 6717, 7838, 390, 1520, 2648, 4087, 4280, 5630, 7101, 8082, 308, 1750, 2803, 3885, 5139, 6195, 7207, 8237, 555, 1945, 3021, 3645, 4592, 5705, 6515, 7876, 488, 1847, 3110, 3893, 4624, 5892, 7226, 7766, 488, 1508, 3095, 3945, 4630, 6051, 6515, 7806, 488, 1528, 3117, 3367, 4624, 5883, 7201, 7715, 488, 1528, 2806, 3893, 4624, 6081, 7226, 7766, 488, 1528, 2164, 3893, 5038, 5241, 7124, 8223, 818, 1528, 2957, 4018, 4870, 5635, 6988, 8147, 308, 2106, 3064, 3886, 4551, 5694, 6589, 7421, 915, 2017, 2164, 3914, 4704, 6081, 6752, 7723, 915, 2017, 3021, 3891, 4512, 6186, 7207, 8080, 915, 2017, 3021, 3891, 4512, 6186, 6996, 8223, 488, 1648, 2914, 3893, 4624, 6139, 7226, 8147, 488, 1648, 2806, 3893, 4624, 6139, 6752, 8223, 488, 1528, 2833, 3893, 4387, 6081, 7124, 7664, 488, 1528, 2833, 3893, 4624, 6139, 6677, 8223, 488, 1528, 2833, 3893, 4624, 6139, 6677, 8223, 915, 1648, 2833, 3914, 4622, 6139, 6515, 7766, 555, 1648, 2833, 4145, 4512, 5981, 6996, 8076, 915, 2017, 3021, 3893, 4798, 5811, 6996, 8223, 915, 1622, 2833, 3893, 4622, 6139, 6996, 8196, 915, 2017, 2164, 3914, 4622, 5811, 7124, 8223, 915, 1648, 2806, 3914, 4622, 5811, 6584, 8223, 915, 2017, 2858, 3914, 4798, 6081, 6752, 7664, 915, 2017, 2833, 3825, 4622, 6139, 6996, 7766, 915, 2017, 2833, 3914, 4798, 5811, 7120, 7723, 4, 2 ]
[ 1, 76, 45, 31, 5, 16, 5, 51, 57, 52, 66, 5, 14, 66, 5, 43, 35, 5, 43, 48, 52, 78, 5, 5, 3, 142, 1622, 2858, 4174, 4704, 6139, 6752, 8147, 186, 2032, 3143, 3893, 4781, 5901, 6972, 8054, 488, 2032, 3143, 3893, 4624, 5901, 7226, 8196, 488, 1528, 2947, 4174, 5038, 5635, 6794, 8196, 956, 1869, 2949, 4018, 5061, 5612, 6709, 7876, 684, 1791, 3143, 4166, 4980, 5705, 7084, 7723, 716, 1705, 2860, 3516, 5061, 5637, 7184, 7494, 660, 1499, 2724, 3323, 5047, 5869, 6224, 7983, 1058, 1199, 2429, 3366, 4595, 5291, 6474, 8161, 319, 1828, 2261, 3831, 4546, 6060, 7240, 8044, 959, 1426, 2520, 3552, 4353, 6005, 7196, 7776, 901, 1918, 2709, 4067, 4212, 5723, 6873, 7732, 825, 1915, 2627, 3187, 5022, 5218, 6772, 8083, 459, 1682, 2312, 3878, 4412, 5610, 7104, 7267, 840, 1557, 2869, 3997, 4905, 5345, 6923, 7992, 635, 1826, 3058, 4136, 5023, 5838, 6359, 7885, 1101, 1557, 2836, 3573, 4364, 6101, 7039, 7667, 288, 2117, 2183, 3709, 4478, 5579, 6830, 7810, 1099, 1171, 2444, 4005, 5061, 6205, 6972, 8185, 1099, 2068, 3128, 4150, 4888, 6175, 6752, 8267, 818, 1847, 3006, 3866, 5061, 6146, 7201, 8076, 935, 2065, 2996, 3982, 4782, 5687, 7168, 8185, 935, 1562, 3144, 3886, 4888, 6139, 6809, 7641, 914, 2068, 3095, 4171, 4583, 6131, 7239, 8076, 91, 1396, 3124, 4036, 4345, 5438, 7024, 7367, 485, 2002, 2759, 4163, 4411, 5540, 7144, 7620, 317, 1452, 3133, 3566, 5169, 5672, 6691, 8266, 591, 2030, 2175, 3961, 4852, 6214, 6401, 7419, 923, 1897, 2175, 3552, 4481, 5945, 7067, 7743, 223, 1849, 2361, 3175, 4470, 6032, 7030, 7937, 864, 1469, 2859, 3164, 5066, 5509, 6881, 7882, 277, 1469, 2613, 3666, 4593, 5585, 6732, 7868, 1024, 1166, 3019, 3997, 4729, 5202, 6458, 7823, 547, 1469, 2247, 3152, 4983, 5953, 7101, 7376, 547, 1469, 2353, 3997, 4176, 5478, 6849, 8217, 386, 1469, 2349, 3740, 4215, 5499, 6281, 7632, 113, 2066, 2374, 3755, 4531, 5934, 6928, 7712, 1029, 1969, 2455, 3847, 5018, 5966, 6309, 7863, 643, 1681, 2486, 3213, 4557, 5245, 6470, 7476, 1090, 2050, 2151, 3968, 4784, 5360, 6881, 7882, 1025, 2019, 2659, 3252, 4389, 5887, 6966, 7424, 1051, 1581, 2832, 3318, 4684, 5305, 6780, 7592, 390, 2084, 2470, 3226, 4276, 5439, 6850, 7476, 617, 1519, 2560, 3977, 5195, 6129, 6627, 7807, 935, 1945, 2833, 3866, 5038, 5438, 6709, 7865, 518, 2098, 2820, 4074, 4512, 6137, 7184, 7538, 225, 1424, 2221, 3511, 4854, 5296, 6273, 7574, 552, 1623, 2560, 3994, 4181, 5890, 7162, 7828, 935, 1620, 2833, 3413, 5088, 5493, 6810, 7563, 552, 1851, 2839, 4067, 4877, 5563, 7207, 7527, 427, 1684, 3008, 4174, 5040, 6175, 6630, 7627, 763, 1286, 2956, 4124, 5147, 5345, 7160, 7907, 1088, 2115, 2487, 3771, 5169, 5760, 6894, 8101, 1088, 2060, 2487, 3510, 4471, 5641, 6852, 7940, 673, 2069, 3055, 3323, 4664, 5556, 6593, 8069, 793, 1162, 2725, 3896, 4431, 5575, 6456, 7486, 249, 2060, 3041, 3368, 5048, 5695, 7074, 7416, 247, 1631, 2465, 3663, 4734, 5526, 7083, 7396, 113, 1752, 2271, 3604, 5091, 5341, 6891, 7869, 211, 1332, 2725, 3918, 4214, 5869, 6671, 7336, 555, 1945, 3008, 4145, 4923, 6123, 6612, 7476, 489, 1974, 2493, 3720, 4994, 5568, 7103, 7744, 183, 1349, 2971, 3518, 4877, 6195, 7217, 7664, 183, 1349, 2493, 3928, 4764, 5520, 7192, 7843, 552, 2097, 3062, 4028, 4558, 5626, 7091, 7291, 552, 1324, 2858, 3886, 5157, 5436, 6540, 7664, 373, 1758, 2771, 4097, 4895, 5228, 7026, 7881, 223, 1724, 2661, 3648, 4430, 6101, 7138, 7367, 249, 1758, 2309, 3619, 5029, 6082, 6834, 8103, 113, 1455, 2440, 3828, 4338, 5693, 6403, 7411, 1023, 1555, 2564, 3578, 4257, 5624, 6257, 7696, 840, 1635, 2564, 3559, 4378, 5838, 7242, 7701, 1067, 1586, 2763, 3305, 4855, 5471, 6497, 8003, 895, 1758, 2506, 3554, 4209, 6204, 6764, 7469, 465, 2059, 2800, 3605, 4382, 6078, 6237, 7888, 1057, 2008, 2156, 3544, 5052, 6118, 6529, 7584, 304, 1434, 2242, 3802, 4935, 5578, 6639, 7341, 390, 2063, 2858, 3983, 5142, 5960, 6889, 7913, 356, 1773, 2991, 3407, 5080, 6189, 6349, 8118, 183, 1237, 3080, 3876, 4523, 5981, 6958, 7865, 183, 1777, 2750, 3281, 4387, 5694, 6309, 7524, 183, 2097, 3110, 4149, 4287, 5527, 6604, 7563, 183, 2097, 3022, 3753, 4797, 5705, 7096, 7537, 756, 1773, 2970, 3886, 4834, 5493, 7220, 7563, 752, 1996, 3000, 3710, 5160, 6211, 6719, 7806, 1033, 1708, 2542, 4007, 4220, 5695, 7237, 8151, 986, 1563, 2655, 3824, 5184, 5388, 6632, 7828, 920, 1692, 3018, 3410, 4321, 5538, 7219, 8052, 487, 2055, 2655, 3329, 4346, 5640, 6998, 7873, 884, 1423, 2131, 3714, 5023, 5976, 6270, 7318, 807, 1858, 2807, 4021, 4364, 5585, 7141, 8183, 986, 2033, 3029, 4003, 4413, 5814, 6760, 7683, 986, 1393, 3029, 3610, 4774, 5899, 6944, 7801, 986, 1924, 2750, 3936, 4774, 5286, 6466, 7531, 150, 1948, 3075, 3695, 4364, 6120, 6881, 8106, 610, 1782, 2795, 3515, 4604, 5574, 6291, 7919, 150, 1570, 2895, 3666, 4774, 6050, 6614, 7842, 150, 1397, 2629, 3298, 5022, 5793, 7033, 7318, 150, 1171, 2222, 3298, 4323, 5810, 6687, 7745, 895, 1770, 2346, 3581, 4539, 5835, 6234, 7427, 271, 1972, 2923, 3239, 4955, 5697, 6895, 7545, 1067, 1838, 2697, 3580, 5020, 5876, 6263, 8128, 864, 1838, 2847, 3882, 4547, 5443, 6799, 7920, 1008, 1339, 2330, 3477, 4399, 5965, 6295, 7590, 104, 1524, 2400, 3182, 4200, 5419, 7042, 8119, 104, 1146, 2609, 3643, 4399, 5917, 7229, 7744, 1025, 2050, 2897, 3442, 4219, 5485, 7091, 7841, 1025, 1856, 2175, 3632, 5144, 5294, 6663, 7981, 1016, 2001, 2175, 3307, 4324, 5295, 6639, 7488, 150, 1141, 2348, 3751, 4545, 6121, 6992, 7560, 938, 1141, 3106, 3475, 4214, 6018, 7112, 8150, 115, 2063, 2777, 4162, 4536, 6035, 7154, 8164, 1014, 1596, 2801, 3749, 4335, 6160, 6337, 8093, 654, 1736, 2904, 3511, 4882, 5276, 6832, 8164, 576, 1736, 3109, 4125, 5125, 6110, 6256, 8043, 195, 1323, 2497, 3996, 5104, 5978, 6810, 8211, 228, 2111, 3147, 3227, 5090, 5761, 7165, 7303, 543, 1304, 2554, 3595, 5135, 6110, 6752, 7574, 555, 2111, 2221, 3391, 4877, 5963, 6752, 7477, 488, 1622, 3117, 3277, 4555, 5515, 6889, 7865, 915, 1528, 2554, 3825, 4287, 5677, 6889, 7715, 555, 1528, 2970, 4026, 4877, 5515, 7152, 7303, 859, 1974, 2833, 3391, 4877, 5241, 7006, 8223, 105, 2106, 2490, 3827, 5007, 5413, 7124, 7715, 859, 1684, 2858, 4006, 5159, 5413, 7090, 8261, 105, 2106, 2833, 3931, 4681, 5515, 6988, 7557, 105, 2106, 2833, 3391, 4398, 5436, 6840, 8261, 105, 1648, 3147, 4166, 5079, 5385, 6604, 7664, 859, 2002, 2970, 3931, 4890, 5548, 6515, 7421, 105, 1586, 3143, 3376, 5088, 5610, 6589, 8080, 4, 2 ]
[ 1, 64, 66, 58, 54, 16, 41, 33, 64, 47, 40, 65, 5, 43, 17, 66, 5, 5, 3, 654, 2002, 2725, 4057, 4512, 5249, 6576, 7476, 654, 1424, 2172, 3951, 5075, 5386, 6947, 7921, 789, 1645, 2833, 4121, 5083, 6048, 6551, 8080, 419, 1851, 3064, 4174, 4877, 6048, 6515, 7781, 488, 1528, 2806, 4174, 4611, 5241, 7226, 8147, 419, 1528, 3133, 4026, 4704, 5515, 6996, 8237, 240, 2098, 2560, 4174, 5083, 5963, 6979, 8266, 568, 1468, 2582, 3726, 4651, 5825, 6371, 7816, 685, 1510, 3013, 3704, 4849, 5734, 7224, 7756, 664, 1742, 2429, 3232, 5031, 5382, 6598, 8215, 723, 1346, 2492, 3398, 5117, 6117, 6466, 8201, 840, 2055, 2667, 3623, 5015, 5888, 6833, 7955, 408, 1305, 2599, 3626, 4298, 5512, 7232, 8048, 104, 1146, 2743, 3727, 5124, 6065, 7204, 8006, 993, 1926, 3091, 3556, 4268, 6063, 6481, 7622, 864, 1339, 2595, 3599, 4565, 5655, 7235, 7694, 271, 1674, 2407, 3599, 4330, 5494, 6941, 7765, 826, 2061, 2902, 3318, 4402, 5408, 7123, 7271, 408, 1778, 2282, 4016, 4920, 5796, 6432, 8015, 850, 1831, 3145, 3498, 4205, 5364, 7229, 8224, 826, 1865, 2887, 3517, 4364, 5366, 7094, 8135, 895, 1831, 2515, 3660, 5164, 5810, 6888, 7886, 1025, 1350, 2661, 4058, 4931, 5571, 6809, 7717, 826, 1676, 2581, 3307, 5083, 6002, 6592, 7426, 887, 1881, 2515, 3347, 5166, 6114, 6688, 7664, 1090, 1850, 2924, 4030, 4861, 5616, 7019, 7290, 610, 2095, 3061, 3916, 4334, 6058, 7157, 7485, 804, 1992, 2293, 4166, 4551, 6195, 7010, 7547, 789, 2073, 2709, 3582, 4872, 5821, 7100, 8179, 789, 1791, 2473, 4006, 4844, 5981, 6584, 8114, 256, 1750, 3000, 4103, 4423, 5765, 7218, 8132, 789, 1218, 2340, 3516, 5058, 5901, 6607, 7716, 256, 1851, 2946, 3891, 5048, 6129, 6589, 8179, 518, 2111, 3062, 4026, 4651, 5681, 6671, 7971, 91, 1510, 2652, 3951, 5120, 5678, 7158, 8060, 211, 1668, 3080, 3487, 4611, 5630, 6612, 7602, 492, 1689, 2182, 3778, 4217, 5872, 7094, 7481, 734, 1151, 2464, 3672, 5171, 5293, 6568, 8088, 739, 1835, 2380, 3195, 4364, 5314, 6911, 7299, 774, 1397, 2355, 4058, 4559, 6062, 6447, 7770, 531, 2084, 2355, 3543, 4235, 5828, 6595, 8088, 693, 1732, 2987, 3295, 4255, 6178, 6595, 7274, 857, 1842, 2987, 3348, 4797, 6178, 7130, 7693, 211, 1397, 3099, 3199, 4214, 5273, 6256, 8188, 859, 1485, 2946, 3726, 4716, 5289, 7165, 7584, 757, 1623, 2700, 4089, 5115, 5960, 7165, 8024, 334, 1597, 2560, 3359, 4918, 5385, 6612, 8236, 334, 1289, 3004, 3928, 4578, 5776, 6501, 7402, 568, 2013, 3057, 3570, 5025, 5544, 6234, 7948, 397, 1954, 2562, 3817, 4913, 6191, 6256, 7542, 617, 1510, 2664, 3917, 4881, 5650, 6369, 7474, 552, 1750, 2391, 3470, 5058, 5811, 6996, 7591, 512, 1705, 2833, 3692, 5104, 5378, 7160, 8132, 335, 1982, 2895, 3277, 5088, 5968, 6966, 8083, 504, 1296, 2915, 3261, 4856, 6063, 6498, 7995, 1029, 2118, 3039, 4072, 4470, 5461, 6671, 8149, 1025, 1966, 2944, 4072, 5162, 5610, 6776, 7972, 1025, 1238, 2975, 3206, 4966, 5633, 7129, 7717, 610, 1238, 2980, 3380, 4379, 5641, 7033, 7870, 650, 2053, 3076, 3717, 4942, 5705, 7017, 8188, 104, 1717, 2831, 3932, 5180, 6025, 7222, 8227, 1090, 1350, 2716, 3540, 4991, 5704, 7058, 7873, 804, 1485, 3095, 4027, 4980, 5219, 7111, 8066, 617, 1946, 2801, 4026, 5138, 5752, 6755, 7915, 811, 1789, 2946, 3662, 4732, 5349, 6302, 7819, 403, 1330, 3053, 3564, 4289, 5350, 7047, 7778, 776, 1424, 2163, 3737, 5135, 5549, 6577, 7826, 1052, 1468, 2530, 3487, 5011, 5311, 7024, 7872, 319, 1503, 2871, 3688, 4543, 5973, 6901, 8224, 786, 1503, 3103, 3660, 5163, 5251, 6550, 7981, 428, 1129, 2727, 3524, 4735, 5766, 6346, 7637, 584, 1503, 2744, 3187, 4729, 5780, 6310, 7981, 1041, 2036, 2869, 3252, 4612, 5224, 6868, 8258, 730, 1503, 2307, 3602, 4220, 5557, 6538, 7794, 730, 1609, 2361, 4076, 4612, 5262, 6975, 7487, 662, 1789, 2638, 3403, 4887, 5270, 7031, 8037, 1097, 2063, 2391, 3891, 4530, 6171, 6589, 7764, 984, 1110, 2820, 3918, 4226, 5705, 7023, 7631, 356, 2025, 2899, 3720, 5075, 5259, 7036, 8048, 617, 1695, 2654, 3518, 5150, 6163, 6958, 7936, 935, 1984, 2746, 3994, 4870, 5436, 6668, 8267, 818, 1620, 2806, 4085, 4888, 6139, 7239, 8076, 935, 2017, 3110, 4041, 5159, 6211, 6589, 8196, 935, 2017, 2746, 3893, 4798, 5241, 7006, 8196, 935, 1147, 2746, 4071, 4512, 6195, 6584, 7876, 555, 1468, 3021, 3827, 4888, 6205, 7077, 7717, 859, 1684, 2880, 4166, 4512, 5963, 7201, 7717, 860, 2017, 2806, 3825, 4704, 5892, 7077, 7766, 142, 1622, 2914, 3825, 4704, 6139, 7077, 7766, 488, 1622, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 3065, 3893, 4624, 6186, 6794, 8196, 4, 2 ]
[ 1, 26, 5, 42, 11, 66, 5, 16, 62, 11, 54, 5, 31, 16, 5, 66, 63, 39, 52, 5, 17, 75, 5, 31, 14, 66, 5, 64, 62, 26, 5, 43, 73, 5, 43, 14, 78, 5, 28, 45, 54, 5, 44, 54, 41, 33, 64, 66, 44, 55, 5, 63, 45, 29, 53, 16, 54, 30, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 3825, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1844, 2949, 3893, 4798, 5883, 7124, 7949, 915, 2073, 2949, 3367, 4798, 5883, 6794, 8223, 789, 1490, 2340, 3777, 4993, 5612, 6589, 7716, 331, 1503, 2903, 4064, 5145, 5249, 6966, 7367, 499, 1168, 2785, 3611, 4439, 5624, 6581, 8253, 897, 1426, 3121, 3318, 4735, 5313, 7118, 8131, 323, 2036, 2751, 3483, 4176, 5510, 7238, 8035, 897, 1664, 2751, 3576, 4268, 6142, 6692, 7758, 1062, 1850, 2448, 3190, 4397, 5934, 6538, 8197, 211, 1411, 2885, 3649, 4426, 6151, 7154, 7586, 684, 1978, 3006, 3692, 4763, 5869, 7069, 8076, 390, 1173, 2833, 3681, 4622, 5687, 7090, 7764, 742, 1286, 2128, 3362, 4443, 5432, 6614, 7577, 448, 1397, 2293, 3274, 5169, 5871, 6256, 8183, 249, 1472, 3126, 3282, 4535, 5614, 6965, 7918, 1060, 1402, 2331, 3416, 4543, 5909, 6881, 7910, 458, 2120, 3130, 3182, 4389, 5970, 7212, 7590, 966, 1630, 2751, 3926, 4372, 5769, 7227, 8212, 360, 1957, 2175, 3284, 4716, 5653, 7073, 7788, 428, 1594, 3116, 3482, 4418, 6015, 6386, 7854, 465, 1348, 2678, 3736, 4539, 5447, 7068, 7504, 249, 1633, 2623, 3611, 4364, 6133, 6793, 7704, 113, 1865, 2689, 3295, 4274, 6053, 6801, 8242, 776, 1974, 3066, 3937, 4573, 6041, 6530, 7558, 492, 1507, 2956, 4153, 4739, 5526, 6561, 7673, 840, 1865, 2297, 4007, 4902, 5450, 6400, 7395, 1067, 1865, 2700, 3460, 5029, 5640, 6273, 7413, 512, 1671, 3150, 4067, 4586, 5738, 6852, 7768, 914, 1675, 2586, 3352, 4369, 5210, 6809, 7284, 914, 2000, 2730, 4145, 5058, 6175, 7017, 7421, 484, 2000, 2895, 4018, 4366, 6051, 7207, 7949, 984, 1467, 2996, 3932, 4447, 5635, 7006, 7485, 484, 1467, 2991, 4071, 4888, 6211, 7207, 8195, 120, 2076, 2695, 4005, 4181, 5527, 6732, 8137, 833, 1939, 2970, 4168, 4427, 5944, 6582, 7895, 492, 2035, 2321, 4147, 4194, 5318, 6758, 7916, 897, 1135, 2296, 3474, 4597, 5409, 7196, 8158, 640, 1687, 2173, 3382, 4338, 5930, 6661, 8023, 725, 1812, 3040, 3408, 4609, 5327, 7108, 8090, 249, 1183, 2660, 3694, 4182, 5790, 6429, 8171, 492, 1562, 2345, 3967, 4284, 5327, 7000, 7442, 536, 1983, 3005, 3332, 4941, 5429, 6415, 7984, 1067, 1924, 2661, 3319, 4237, 5947, 6956, 8149, 1025, 1797, 2946, 3873, 4672, 6024, 7026, 7852, 223, 1167, 2669, 4101, 5193, 5410, 6633, 8214, 150, 1302, 2436, 3911, 4429, 5761, 6579, 7383, 1033, 1777, 2678, 3407, 5129, 5976, 7114, 7799, 1056, 1675, 2661, 3233, 4407, 6146, 7158, 7594, 923, 1490, 2868, 4135, 4588, 5962, 6626, 7259, 884, 1507, 2239, 3623, 5079, 5581, 6443, 7256, 725, 1171, 2444, 3543, 5032, 5220, 6592, 7667, 804, 1797, 2326, 3949, 4955, 5963, 7006, 7838, 818, 1943, 3043, 4170, 4925, 5832, 7006, 7782, 186, 2000, 3128, 3891, 4551, 5612, 7084, 8196, 1097, 1620, 2781, 3891, 4822, 6123, 6979, 7631, 859, 2111, 2838, 3827, 4890, 5630, 6589, 7641, 421, 1286, 3079, 3782, 4437, 5385, 7035, 7959, 421, 1596, 2880, 3171, 5024, 5360, 6486, 7321, 568, 2065, 2340, 3771, 4638, 5908, 6780, 8248, 541, 1597, 3150, 4103, 5078, 5908, 6607, 7383, 579, 1604, 2792, 4125, 4522, 5719, 6488, 7477, 833, 1386, 3026, 3355, 4724, 6137, 7181, 7969, 1033, 1509, 3021, 3413, 4597, 5385, 7167, 7726, 1067, 1710, 2492, 3413, 4744, 5968, 6470, 7598, 271, 1586, 2313, 4127, 4636, 5500, 6834, 7658, 249, 1758, 2929, 3509, 5029, 6135, 6461, 8046, 693, 1821, 2623, 3358, 4684, 5657, 6813, 7676, 123, 1794, 2672, 3476, 4329, 5353, 6850, 7534, 888, 1635, 2559, 3741, 4736, 5237, 6771, 7701, 840, 1555, 3147, 3483, 4573, 5720, 6565, 7259, 840, 2055, 2436, 3585, 4706, 5526, 6824, 7616, 1067, 1828, 2842, 3192, 4485, 6002, 6923, 8056, 1067, 1740, 2766, 3992, 4727, 5325, 6974, 7740, 271, 1299, 2173, 3960, 4508, 5966, 7096, 7384, 271, 1440, 2503, 3694, 4429, 5585, 6426, 7426, 643, 1682, 2748, 3991, 4554, 5272, 6477, 7602, 104, 1682, 2716, 3239, 5114, 5824, 7217, 8156, 895, 1617, 2868, 3536, 4364, 6015, 6536, 7470, 876, 1990, 2140, 3536, 5110, 5810, 7000, 7992, 895, 1477, 2227, 3536, 5110, 5810, 6529, 8069, 536, 1871, 2260, 4107, 4457, 5777, 6772, 7829, 373, 1248, 3019, 3498, 4248, 5481, 7080, 7790, 1056, 2125, 2860, 3188, 4972, 6129, 6979, 7386, 308, 1218, 3064, 4041, 4822, 5534, 6979, 8185, 684, 1700, 3144, 4113, 4896, 5981, 6604, 7887, 715, 1791, 2473, 3540, 4423, 5840, 6376, 8126, 459, 1827, 2587, 3562, 4427, 5500, 6945, 7677, 536, 1557, 2831, 4007, 4955, 5658, 6605, 8241, 897, 1301, 2903, 4007, 5011, 5768, 6530, 7604, 536, 1843, 2331, 3697, 4804, 5716, 6533, 7744, 840, 1940, 2371, 3483, 5176, 5716, 6596, 7740, 840, 1526, 2536, 4028, 4181, 5400, 6550, 7722, 840, 1496, 2363, 4080, 5057, 5930, 7115, 7962, 959, 2046, 2986, 3688, 4218, 5360, 6771, 7953, 1099, 1791, 2838, 3891, 5061, 5927, 6891, 7421, 484, 1937, 2629, 4006, 4437, 5438, 7084, 8016, 419, 2073, 3128, 3983, 4918, 5689, 7239, 8236, 256, 1910, 2718, 3951, 4381, 5610, 7065, 7865, 654, 1597, 2287, 3550, 4225, 5436, 6486, 8179, 654, 2002, 2251, 3966, 4727, 5296, 6809, 7707, 654, 1826, 2905, 3550, 5060, 6110, 6604, 7815, 225, 2060, 3133, 3933, 5135, 5962, 6579, 7880, 654, 1490, 2792, 3394, 4638, 5811, 6486, 7846, 228, 1756, 2669, 3391, 5167, 6157, 6677, 8022, 1051, 1752, 2991, 3362, 4419, 5865, 6605, 8179, 488, 1961, 3062, 4113, 5166, 5241, 6889, 7677, 419, 1750, 2914, 3595, 4888, 5892, 6996, 7563, 419, 1750, 2914, 4071, 4704, 5892, 6612, 7563, 419, 2017, 2914, 3825, 5138, 5241, 6996, 7677, 143, 1286, 2659, 3459, 5079, 5493, 7086, 7510, 731, 1982, 2389, 4145, 4588, 5631, 7222, 7773, 400, 2035, 2322, 4043, 4545, 5411, 7212, 7503, 840, 1260, 2578, 3479, 5198, 5623, 7072, 7604, 763, 2009, 2452, 3283, 5035, 5344, 6551, 7962, 472, 1708, 2173, 4047, 4539, 5422, 6792, 7449, 895, 1490, 2680, 3549, 4210, 5558, 6735, 7880, 895, 1740, 2325, 3759, 4443, 5384, 6497, 7576, 895, 1603, 2605, 3498, 4539, 5914, 7234, 7617, 725, 1703, 2748, 4099, 4281, 6116, 6319, 7341, 360, 1826, 2728, 3332, 4508, 6136, 6426, 7758, 319, 1728, 2173, 3329, 4356, 5854, 6923, 7678, 1041, 1499, 3130, 3422, 4321, 5470, 7153, 7726, 1084, 2036, 2140, 3520, 5100, 5273, 6912, 8112, 113, 1490, 2715, 3214, 5031, 5921, 6672, 7378, 1041, 1821, 2678, 3459, 4364, 5473, 7143, 7825, 774, 1826, 2348, 3583, 4669, 6118, 6478, 8193, 1041, 1171, 3116, 3895, 4179, 5684, 6474, 8150, 494, 1494, 2946, 3880, 5121, 5745, 6567, 8182, 655, 1494, 2585, 3900, 4316, 5320, 6426, 7633, 1041, 1732, 2605, 3765, 4626, 6028, 6814, 7977, 494, 1732, 2751, 3856, 4743, 6180, 6856, 7728, 840, 1597, 2751, 3331, 4810, 5480, 6290, 7908, 840, 1561, 2751, 3597, 4274, 5828, 6711, 7577, 881, 1882, 3120, 3329, 4256, 5875, 6234, 8027, 884, 1732, 2534, 3329, 4588, 5363, 6231, 7778, 884, 1499, 2731, 3334, 4539, 6002, 6870, 7883, 750, 1657, 2936, 3258, 4435, 5706, 6376, 8081, 308, 1869, 3149, 3602, 4586, 5276, 6901, 7524, 859, 1963, 2833, 3909, 4589, 6175, 6874, 8083, 935, 2000, 2833, 3380, 5060, 6025, 6852, 8237, 186, 2000, 2833, 3367, 4888, 6195, 7120, 8260, 859, 1620, 2925, 3188, 4822, 6129, 7077, 8260, 859, 1648, 3110, 4174, 4512, 5385, 7168, 7570, 617, 1345, 2775, 3596, 4549, 5436, 7152, 7563, 617, 2013, 2941, 4071, 4344, 5246, 7090, 7732, 617, 2013, 2566, 3577, 4863, 5730, 6717, 7535, 617, 2013, 2941, 3917, 4870, 6110, 6772, 7563, 617, 2013, 2941, 3857, 5193, 5580, 6291, 7753, 105, 2106, 2941, 3832, 4839, 5550, 7024, 8076, 105, 2106, 2775, 3917, 4673, 5548, 7010, 7767, 859, 2002, 2970, 3518, 4437, 5296, 6810, 7303, 555, 1147, 2970, 3891, 4870, 5811, 7077, 8237, 555, 2111, 3021, 3596, 4859, 5981, 6972, 8076, 488, 2065, 2806, 3893, 4398, 5677, 7207, 8093, 488, 2017, 2806, 3893, 4624, 5892, 6996, 7766, 488, 2017, 3117, 3893, 4366, 6139, 7077, 8237, 171, 2073, 2340, 3983, 5139, 5694, 7120, 7476, 833, 1157, 2936, 3975, 4582, 5749, 6551, 7627, 685, 1233, 2940, 3268, 4179, 6001, 6540, 8236, 318, 1643, 2174, 3268, 4282, 5500, 6898, 8251, 784, 1318, 2464, 3878, 5103, 5522, 7219, 7966, 150, 1305, 3107, 4035, 4501, 5413, 6467, 8178, 1025, 1499, 2423, 4046, 5100, 6031, 7017, 8062, 750, 1327, 2667, 3706, 4993, 5231, 7200, 8253, 815, 1463, 3033, 4033, 4834, 5443, 7216, 8089, 913, 1455, 2436, 4022, 4927, 5918, 7095, 7800, 844, 2111, 2678, 3676, 4532, 5314, 6474, 8165, 1084, 2111, 2166, 3505, 4949, 6210, 6411, 8177, 776, 1821, 2586, 3740, 4622, 5978, 7006, 7290, 938, 1349, 2396, 3261, 5084, 5297, 6622, 7720, 844, 2024, 2871, 4103, 5115, 6024, 6426, 7677, 317, 1139, 2480, 3245, 4321, 5346, 6467, 7985, 518, 1171, 3133, 4007, 4601, 5797, 7085, 8040, 317, 1424, 2627, 3577, 4604, 5333, 6347, 7965, 510, 2097, 2326, 4018, 4374, 5883, 7239, 7397, 804, 1218, 2947, 4097, 5159, 5219, 6709, 7716, 390, 1791, 2991, 4011, 4890, 5705, 7077, 7421, 390, 1998, 2895, 3540, 4980, 5534, 7201, 7806, 1031, 1306, 2720, 3304, 4598, 5204, 6505, 8069, 535, 1732, 2156, 3340, 4321, 5652, 6343, 7536, 535, 1570, 2688, 3513, 4321, 5982, 7070, 8268, 1040, 1732, 2751, 3762, 4887, 5849, 6234, 7793, 1003, 1388, 2455, 3565, 4526, 6050, 6458, 7937, 1025, 1399, 2856, 4137, 4881, 5614, 6566, 7588, 826, 2045, 3097, 3842, 4364, 5569, 6890, 7973, 826, 1938, 3029, 3162, 4338, 5530, 6929, 7811, 465, 1397, 3097, 3456, 4531, 5788, 6751, 7869, 807, 1635, 3097, 3792, 5155, 5339, 7126, 7604, 807, 2107, 2856, 3749, 4539, 5361, 6768, 7930, 582, 2009, 2665, 3216, 4338, 5978, 6226, 7704, 778, 1820, 2751, 3429, 4382, 6119, 6426, 7510, 887, 1919, 3098, 4096, 4982, 5641, 6550, 8185, 1025, 1369, 3080, 3717, 4527, 5983, 6611, 7557, 610, 1238, 2715, 3955, 4387, 6103, 6579, 7485, 779, 1847, 2828, 3271, 4940, 5705, 7230, 8093, 967, 2041, 2340, 3886, 4762, 5767, 7193, 7557, 256, 1620, 3038, 3391, 4918, 5493, 7084, 7313, 568, 1791, 3000, 3578, 4985, 5976, 6492, 8195, 256, 1635, 2473, 3917, 4775, 6146, 7132, 7976, 901, 2060, 2980, 3394, 5129, 6110, 6740, 8118, 579, 1525, 2792, 3563, 4927, 5935, 6753, 7768, 552, 2097, 3098, 4006, 5120, 5385, 6613, 7949, 611, 2097, 2424, 3635, 4454, 5843, 6735, 7473, 492, 1154, 3140, 3369, 4561, 5539, 6581, 8058, 840, 2120, 2926, 4137, 5110, 5291, 6526, 8124, 840, 1679, 2751, 3324, 4571, 5368, 6898, 7741, 1033, 2086, 2346, 3720, 4413, 6087, 7208, 7389, 756, 2098, 2947, 3167, 5083, 6156, 6234, 8064, 699, 1826, 2792, 3776, 5112, 5527, 6576, 8193, 699, 1736, 2740, 3227, 4859, 5992, 7162, 8044, 518, 1749, 2750, 3376, 4549, 5565, 6668, 7959, 240, 1961, 2554, 3891, 5128, 5413, 6988, 8118, 240, 1705, 3064, 4018, 5179, 5550, 6515, 7303, 789, 2000, 2683, 3550, 4630, 5963, 6740, 8236, 419, 1851, 2806, 3595, 4387, 6110, 6988, 7563, 789, 2000, 3133, 3914, 4980, 5550, 7132, 7949, 518, 2097, 3133, 4166, 4888, 5223, 6607, 7865, 448, 1919, 3075, 3795, 5072, 5991, 6615, 8114, 149, 1951, 2455, 3963, 4829, 5733, 6532, 7615, 862, 1372, 2292, 4128, 4912, 6052, 6734, 8118, 884, 1706, 2515, 4144, 4733, 5706, 6478, 7528, 223, 1834, 2661, 3472, 4364, 5637, 6421, 7962, 650, 1771, 2440, 3593, 5085, 5712, 6775, 7976, 752, 1948, 2701, 3892, 4597, 5684, 6886, 7776, 1029, 1773, 2492, 3995, 4536, 6167, 6350, 7557, 1033, 1831, 2803, 3582, 4536, 5381, 6470, 7940, 299, 1227, 2655, 3992, 4792, 5890, 6900, 7962, 299, 1227, 2655, 3992, 4870, 5260, 7220, 7962, 104, 1858, 2320, 3540, 4912, 5730, 6436, 7547, 1090, 1146, 2946, 3557, 5145, 6032, 6566, 8126, 1057, 1399, 2798, 3440, 4470, 5802, 6522, 7260, 465, 1463, 3092, 3456, 5109, 5646, 6605, 8153, 786, 1797, 2378, 3991, 5011, 5728, 6603, 7480, 1080, 1732, 2506, 3741, 4620, 5589, 7154, 8190, 952, 1422, 2547, 3605, 4651, 6145, 6348, 8092, 859, 1791, 2947, 3513, 5150, 5892, 6947, 8040, 419, 1467, 3006, 3391, 5139, 5216, 7090, 7715, 256, 1912, 2703, 4125, 4555, 5811, 6709, 7919, 225, 1248, 2181, 3785, 4503, 5765, 7127, 8006, 225, 1248, 2454, 3550, 4918, 5590, 6909, 7485, 334, 1865, 2717, 3904, 4423, 5331, 6430, 7826, 585, 2127, 2340, 3555, 4622, 6149, 6486, 7952, 153, 1620, 2424, 3358, 4834, 6149, 6765, 7664, 510, 2073, 2960, 3918, 5088, 5963, 7230, 7256, 211, 1794, 3112, 3914, 4387, 6001, 7098, 7574, 650, 1721, 3128, 3982, 4366, 5873, 6734, 8209, 150, 1878, 3075, 3732, 5073, 5892, 6642, 7570, 465, 1978, 2440, 3304, 4224, 6028, 6421, 8052, 692, 1210, 2142, 3700, 4562, 6089, 7068, 8117, 930, 1967, 2688, 4091, 5193, 6002, 6674, 7385, 1062, 2091, 2170, 3264, 4460, 6084, 6402, 7271, 610, 1403, 2923, 3660, 4604, 5491, 6668, 7658, 1090, 1118, 2429, 3282, 4266, 5737, 7086, 8244, 970, 1881, 2440, 3369, 5100, 5415, 6391, 7629, 970, 1141, 2436, 3380, 4991, 5221, 6918, 7687, 970, 2107, 3020, 3771, 4883, 5396, 6776, 7686, 778, 1797, 2387, 3454, 4428, 6002, 7168, 7528, 104, 1141, 2462, 3161, 4845, 5591, 6734, 8092, 610, 2091, 3020, 3430, 5015, 6181, 6663, 7736, 1090, 1992, 2440, 3617, 5088, 5765, 6949, 8245, 390, 1363, 2480, 3649, 4635, 6211, 7207, 7726, 288, 1238, 2214, 3671, 4792, 5981, 6871, 8266, 880, 1496, 2398, 3232, 4918, 5898, 6921, 8030, 709, 2065, 2724, 3776, 4777, 5687, 6515, 8227, 684, 2111, 2947, 3891, 4582, 5968, 6677, 8164, 1097, 1332, 2970, 4108, 4622, 5883, 7129, 7753, 818, 2046, 2957, 3891, 4704, 6051, 7058, 8083, 488, 1218, 3128, 4108, 5104, 6139, 6786, 8147, 818, 2046, 2957, 4018, 4798, 5241, 6794, 7766, 555, 1705, 3043, 4018, 5159, 5635, 6752, 8076, 859, 1750, 2970, 4006, 5038, 5635, 6584, 8066, 859, 2002, 2970, 3374, 4918, 5635, 6584, 7948, 105, 2106, 2970, 4068, 4870, 5219, 7006, 8076, 105, 2106, 2833, 4068, 4387, 5385, 7069, 7476, 105, 2106, 2833, 4068, 4888, 5580, 7069, 7476, 105, 2065, 3147, 3827, 4870, 5901, 7077, 7732, 859, 2127, 2554, 3891, 5166, 5385, 6677, 8223, 555, 2002, 2970, 3873, 4387, 5901, 7152, 7706, 859, 2127, 2959, 3407, 4983, 5901, 6688, 8076, 555, 1695, 3144, 3407, 5060, 6160, 7090, 7717, 859, 1684, 2970, 3391, 5159, 5385, 6740, 8223, 859, 2127, 2858, 3914, 5166, 5901, 6740, 8036, 555, 1648, 2970, 3827, 4622, 5635, 6584, 8261, 105, 1345, 3064, 3825, 5160, 5767, 6740, 7715, 4, 2 ]
[ 1, 28, 17, 66, 5, 28, 48, 44, 55, 5, 20, 52, 76, 40, 78, 5, 76, 33, 66, 5, 76, 45, 31, 5, 31, 16, 5, 64, 48, 5, 5, 5, 76, 48, 5, 64, 17, 41, 35, 30, 5, 53, 17, 29, 5, 41, 63, 17, 53, 5, 31, 16, 5, 51, 57, 52, 30, 5, 5, 3, 142, 2017, 2914, 3891, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 3065, 3367, 4624, 5635, 7077, 7766, 1091, 1320, 2352, 3891, 4423, 5824, 7160, 8126, 856, 1723, 3144, 3751, 4344, 6008, 7021, 7828, 294, 1865, 2859, 3751, 4211, 6028, 6838, 7270, 737, 1510, 2766, 3384, 4913, 6117, 7056, 8048, 304, 1797, 2729, 4096, 5098, 6137, 7047, 7720, 804, 1797, 3006, 3771, 4813, 5536, 7157, 7720, 427, 1747, 2960, 4115, 5088, 5661, 6849, 7887, 1099, 2000, 3135, 3916, 4867, 5565, 6809, 8260, 804, 2125, 2781, 3361, 5080, 5534, 7220, 7720, 833, 1791, 3064, 4152, 4822, 6205, 6979, 7421, 288, 1797, 2326, 3983, 5080, 6014, 6515, 8185, 1057, 1817, 2874, 4168, 4955, 5464, 6590, 7962, 271, 1570, 2348, 3392, 4834, 5918, 6571, 7957, 559, 2033, 2921, 4102, 4665, 5578, 6442, 7535, 896, 1133, 3029, 4130, 4878, 5447, 6754, 7756, 1004, 1706, 3126, 4072, 4607, 6135, 7044, 7973, 399, 1708, 2373, 3476, 4832, 5434, 6613, 8106, 545, 1708, 2373, 4007, 4993, 6217, 6398, 8067, 936, 1706, 2658, 3476, 4978, 6010, 6436, 8129, 936, 1706, 2482, 3201, 5169, 5454, 7103, 7914, 936, 1942, 2658, 3551, 4507, 5603, 7143, 7629, 1025, 1468, 2389, 3513, 4364, 5586, 7220, 7401, 424, 1397, 2514, 3217, 4785, 6154, 6914, 7454, 104, 1550, 2797, 3570, 4208, 5749, 6816, 7737, 271, 2079, 2282, 3351, 4278, 5767, 6828, 8086, 1025, 1531, 3032, 4026, 4450, 5803, 6569, 8156, 993, 1531, 2793, 3873, 4842, 5998, 7127, 8149, 725, 1740, 2766, 3950, 5014, 5764, 6378, 7402, 465, 1897, 2175, 4053, 4659, 5801, 6603, 8031, 545, 1922, 3083, 3630, 4886, 5421, 6798, 8022, 1017, 1543, 2712, 3858, 5108, 5476, 6469, 7704, 784, 1800, 2712, 3478, 4742, 5707, 6529, 8244, 1009, 1180, 2152, 3262, 4349, 5722, 6743, 8164, 1009, 1469, 2911, 3790, 4915, 5720, 6358, 8134, 1009, 1438, 3103, 3567, 4399, 6066, 7071, 7381, 864, 1166, 3052, 3155, 4391, 5506, 6765, 7691, 332, 1440, 2612, 4034, 4759, 6029, 6974, 7747, 975, 1170, 3052, 3235, 5011, 5583, 6743, 7381, 498, 1334, 2585, 3865, 4234, 5362, 6500, 7502, 547, 1469, 2785, 3940, 5109, 6190, 6957, 7878, 504, 1912, 2275, 3777, 5081, 5770, 6605, 7515, 547, 1440, 2785, 4130, 4678, 5567, 6666, 8153, 504, 1469, 2940, 3276, 4273, 5567, 6458, 7896, 1024, 2081, 3040, 3967, 5091, 6104, 7039, 7895, 1024, 1543, 2721, 3763, 5138, 5832, 6373, 8085, 678, 2102, 2344, 3975, 4927, 6138, 6566, 8222, 643, 1318, 2713, 4078, 4743, 5588, 6376, 7852, 970, 1897, 2534, 3747, 4588, 5413, 7131, 7711, 504, 1173, 2679, 4146, 5108, 5279, 6824, 7312, 1024, 1499, 2325, 3442, 4513, 5796, 6812, 7895, 386, 1548, 2985, 3218, 5092, 5587, 6891, 7710, 784, 1178, 2137, 4082, 4794, 5479, 6611, 7933, 1009, 1655, 2316, 3283, 4595, 5495, 7072, 7519, 728, 1826, 3104, 3551, 4180, 5671, 6302, 7618, 314, 1283, 3141, 3342, 4278, 5589, 7106, 7586, 807, 1164, 2346, 3342, 5042, 5257, 6856, 7582, 540, 1550, 2566, 3563, 4459, 5695, 6731, 7824, 363, 1550, 3074, 3957, 4989, 6215, 7224, 8149, 266, 1550, 2867, 3276, 4521, 6101, 7114, 8044, 386, 2033, 2867, 3792, 4755, 5564, 6768, 7962, 487, 1562, 2836, 3245, 4993, 5757, 6376, 7625, 952, 1554, 2656, 3394, 5009, 6130, 7163, 7959, 576, 1296, 2332, 3669, 4292, 5672, 6550, 8243, 654, 1455, 2751, 4078, 4907, 5353, 6790, 8188, 228, 1945, 2659, 3753, 4398, 5672, 7100, 7476, 225, 1547, 3068, 3575, 4289, 5419, 6746, 7908, 757, 1529, 3068, 3904, 5127, 5694, 6634, 7750, 153, 2042, 2975, 3391, 5157, 5723, 6792, 7386, 473, 1116, 2397, 3183, 5115, 5692, 6539, 7386, 211, 2088, 2860, 3307, 4423, 5359, 6605, 8085, 390, 1777, 3128, 4011, 5061, 5840, 7018, 7948, 955, 2035, 2716, 3610, 4181, 5802, 6871, 7898, 1090, 1660, 2866, 3512, 4890, 6205, 7239, 7741, 424, 1499, 2493, 3188, 4282, 6085, 7218, 7876, 1033, 1376, 2254, 3229, 4867, 5572, 6809, 7842, 614, 1681, 2807, 3763, 5115, 5966, 7004, 7908, 1029, 1516, 2920, 3411, 5111, 5914, 6528, 7929, 363, 1542, 2132, 3713, 5018, 5512, 7057, 7689, 943, 1828, 2881, 4095, 4288, 6060, 7072, 7267, 1060, 1206, 2225, 3765, 4280, 6032, 7169, 7441, 1103, 1951, 2591, 3765, 4455, 5985, 6805, 7404, 221, 1594, 3116, 3403, 4684, 6083, 6883, 7759, 807, 1921, 2486, 3446, 4539, 5856, 6225, 7992, 996, 1494, 3116, 3455, 4444, 5504, 6677, 7962, 103, 1150, 2239, 3206, 4869, 5234, 6829, 7827, 1097, 1620, 2730, 3827, 4387, 5968, 7160, 7687, 935, 1623, 2989, 3750, 4896, 6211, 7047, 7846, 935, 1147, 2944, 4150, 4630, 5776, 6771, 7723, 105, 1856, 2970, 3827, 5160, 5892, 7232, 7481, 256, 2034, 2996, 3420, 4305, 5760, 7168, 7720, 617, 1695, 2356, 3595, 4287, 6175, 6566, 7252, 859, 1564, 2554, 3761, 5088, 5908, 6291, 7397, 818, 1684, 3095, 3803, 4387, 5730, 7077, 7485, 488, 2017, 2746, 4071, 5104, 6129, 7201, 7948, 488, 1528, 2746, 3645, 5166, 6103, 7006, 8223, 488, 1528, 2914, 3825, 4624, 6139, 7132, 7485, 488, 1528, 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, 6186, 6794, 8223, 488, 1528, 2164, 3893, 4798, 6081, 6752, 8223, 555, 1147, 2164, 3391, 4387, 5981, 6584, 7723, 859, 1695, 2340, 3838, 5060, 5493, 6996, 8147, 105, 2106, 2490, 4153, 4179, 5892, 6688, 7476, 859, 1750, 2833, 4006, 4512, 5436, 7077, 7865, 859, 1750, 2833, 3596, 5083, 5873, 7160, 8126, 859, 1750, 2833, 3827, 5190, 6117, 7120, 7723, 915, 1147, 2340, 3803, 4622, 5635, 6584, 7865, 555, 2065, 3021, 3803, 4583, 5635, 7077, 7766, 818, 2065, 2806, 3803, 4780, 5892, 6996, 7723, 186, 2017, 2164, 4171, 4624, 5219, 7077, 8196, 488, 2017, 2914, 3893, 5060, 6139, 7226, 8237, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6139, 6786, 7949, 408, 1407, 2873, 3975, 4856, 6123, 7052, 7753, 1045, 1318, 2938, 4005, 4844, 6132, 6304, 8252, 399, 1426, 3037, 3937, 4350, 5382, 6887, 7875, 189, 1951, 2358, 4101, 5040, 5490, 7024, 8086, 920, 1637, 2271, 3936, 4513, 5223, 6799, 8033, 684, 1700, 2397, 3996, 4513, 5223, 6254, 8023, 901, 1324, 2818, 3697, 4412, 6073, 6958, 7912, 518, 1796, 3135, 4124, 4724, 5689, 7230, 7612, 440, 1388, 3133, 4166, 4863, 5883, 6809, 7477, 613, 2097, 3043, 3817, 4399, 5363, 6630, 7405, 271, 1496, 2596, 3399, 5065, 5594, 6515, 7927, 249, 1496, 2271, 3418, 4978, 5400, 6403, 7800, 326, 1915, 2724, 3511, 5130, 5578, 6581, 7648, 576, 1966, 2486, 3746, 4509, 5689, 6328, 7475, 654, 1758, 2596, 3472, 4881, 5223, 6688, 8130, 654, 1597, 3095, 3376, 4863, 5923, 6840, 7919, 127, 1606, 2880, 3798, 5031, 5296, 7024, 7687, 518, 1851, 2562, 3631, 4638, 6007, 6889, 7865, 654, 2106, 2181, 3674, 4387, 5908, 6627, 7716, 518, 2127, 3064, 3796, 4785, 5550, 6515, 7555, 654, 2106, 2473, 4125, 5159, 5901, 7069, 8107, 654, 2030, 2554, 3928, 5138, 5550, 6810, 7602, 518, 1851, 2562, 3376, 4193, 5514, 7129, 8130, 518, 1645, 2554, 3827, 4700, 6110, 7003, 7949, 228, 2111, 2904, 3376, 4225, 5650, 6338, 7715, 240, 2061, 2904, 4006, 5160, 5590, 6752, 7664, 453, 2061, 2970, 3535, 4580, 5550, 6613, 8070, 613, 1755, 2761, 3692, 4179, 5802, 7188, 7476, 611, 1695, 2422, 3304, 4545, 5200, 6525, 7711, 737, 1782, 2527, 3697, 4214, 5831, 6951, 7496, 1101, 1928, 2288, 3217, 4321, 5223, 7000, 7759, 807, 1708, 2579, 4125, 4539, 5523, 7086, 7588, 807, 2033, 2175, 3888, 4736, 5810, 7157, 8017, 487, 2033, 2175, 3456, 4604, 5893, 6529, 8031, 487, 2008, 2419, 4021, 4371, 5224, 6255, 7790, 545, 1708, 2261, 3218, 4400, 5875, 7215, 8092, 545, 1942, 2309, 3191, 4670, 5944, 7229, 7516, 1025, 1918, 2601, 3391, 5095, 6062, 6965, 8069, 487, 1915, 2490, 3472, 4294, 5809, 6813, 7344, 487, 1581, 2309, 3551, 4720, 6135, 6397, 8210, 807, 1540, 2309, 3740, 5085, 5445, 6443, 7939, 545, 1494, 3116, 3551, 4329, 5389, 6453, 8128, 582, 1915, 2346, 4149, 4995, 5481, 6933, 8048, 986, 1499, 2751, 3770, 4717, 5445, 6409, 8137, 691, 2053, 3039, 3551, 4775, 5276, 7148, 7906, 952, 1550, 2632, 4147, 4437, 5376, 6732, 7483, 986, 1233, 2346, 3785, 4745, 5202, 6663, 7713, 545, 1468, 2940, 3229, 4664, 5810, 6442, 7687, 996, 1550, 2688, 3488, 5040, 5574, 6870, 7883, 691, 1669, 2490, 3560, 4804, 6086, 7049, 8137, 487, 1140, 2258, 3358, 4914, 5480, 7229, 7843, 996, 1164, 2361, 3802, 5040, 5443, 6603, 8146, 1038, 1112, 2561, 3592, 4995, 5393, 6883, 8181, 103, 1992, 2692, 3660, 4183, 5390, 6632, 7840, 684, 1523, 2138, 3751, 4775, 5960, 7222, 8036, 859, 1992, 2944, 3671, 5058, 6175, 7188, 7385, 935, 1963, 3021, 4114, 4191, 6063, 6584, 7631, 488, 2017, 3117, 3803, 4782, 6182, 6752, 8185, 818, 1528, 3021, 4011, 4287, 6139, 6972, 8196, 818, 1528, 3006, 3825, 5038, 6195, 7201, 7876, 818, 1622, 3095, 3982, 4980, 5832, 7226, 7806, 818, 1528, 3110, 3893, 5058, 5832, 7239, 8196, 818, 1648, 2914, 3827, 4624, 6129, 6794, 7641, 555, 2017, 3021, 3825, 4630, 5635, 7201, 8185, 915, 1147, 2806, 3914, 4704, 6081, 7124, 8260, 915, 2017, 2914, 3914, 4798, 6129, 6752, 7723, 915, 2017, 3021, 3893, 4512, 5635, 6996, 8223, 488, 1528, 2914, 3893, 4704, 6139, 6752, 8196, 915, 1648, 2833, 3914, 4512, 5981, 6515, 8223, 915, 1528, 3021, 3391, 4870, 5635, 6589, 7485, 915, 2017, 3021, 3391, 4890, 6186, 6515, 7723, 915, 1684, 2164, 3891, 4704, 5534, 7077, 8076, 915, 2017, 2833, 3391, 4798, 6186, 7120, 8126, 488, 1528, 2164, 3893, 4624, 6186, 6752, 8196, 488, 1528, 2833, 3893, 4624, 6186, 7124, 8147, 488, 1528, 2164, 3827, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 6752, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3891, 4624, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 142, 1622, 2914, 3367, 4798, 6186, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 915, 1467, 3065, 4113, 5058, 5635, 6786, 8267, 685, 1579, 2533, 3908, 5044, 5880, 6313, 8123, 318, 1423, 2143, 3957, 4339, 5500, 6773, 8037, 459, 1999, 2672, 3960, 5047, 5523, 6791, 7765, 893, 1762, 2788, 3957, 4651, 5737, 6894, 7883, 868, 1834, 2429, 3159, 4321, 5935, 6986, 8101, 317, 1692, 2387, 3792, 4489, 5325, 6307, 7686, 568, 1206, 2520, 3217, 5150, 5629, 6858, 7767, 334, 1935, 2976, 3771, 4737, 6101, 6623, 7263, 654, 1958, 2341, 3362, 4387, 5687, 7158, 7981, 654, 2106, 2359, 3352, 5159, 6137, 6607, 7563, 654, 1564, 2359, 3648, 5075, 5778, 6579, 7948, 127, 1313, 2833, 3566, 4267, 5241, 6724, 8164, 654, 1684, 2904, 3857, 5079, 6215, 7069, 8130, 518, 1756, 2833, 3188, 5079, 6065, 7024, 7806, 256, 2061, 2839, 4150, 5167, 5935, 7019, 8076, 833, 1561, 2554, 3795, 5143, 5852, 7042, 7698, 685, 1490, 2863, 3581, 4525, 5413, 6507, 7508, 249, 1490, 2871, 3794, 5111, 5509, 6595, 7873, 900, 1509, 3137, 3197, 4705, 5984, 7156, 7635, 333, 2102, 2848, 3804, 4372, 5397, 6683, 8253, 333, 1302, 2540, 3957, 4510, 5878, 6411, 7467, 955, 1743, 2790, 4145, 4343, 5642, 6486, 7592, 440, 2045, 2468, 3878, 4665, 6075, 6584, 7985, 901, 1403, 2729, 4111, 5129, 5950, 6938, 8080, 440, 2106, 2944, 4089, 4833, 6070, 7182, 7912, 901, 1459, 3038, 3623, 4304, 6056, 6588, 7549, 857, 1388, 3128, 4168, 5088, 6148, 7000, 8070, 1033, 1865, 3052, 3970, 5180, 6120, 6962, 7626, 1067, 1555, 2352, 3767, 4626, 5491, 7120, 8256, 895, 1758, 2540, 3957, 4720, 6208, 6673, 7737, 504, 1758, 3026, 3271, 4872, 6062, 6929, 8253, 725, 1758, 2559, 3484, 5095, 6028, 7162, 7852, 1057, 1732, 2704, 3669, 4615, 5960, 6657, 8068, 103, 1881, 3032, 4153, 4382, 6220, 7217, 7908, 512, 1675, 3098, 3889, 4633, 6108, 6979, 8076, 308, 1620, 3043, 3891, 4444, 5832, 6515, 8267, 288, 1467, 2838, 3918, 4822, 6129, 7084, 7664, 304, 1886, 3006, 3870, 5104, 5825, 6980, 7948, 610, 1577, 2944, 3671, 5104, 5661, 6752, 7557, 104, 2125, 2298, 3540, 4747, 5883, 6736, 7723, 663, 1809, 2737, 3201, 4592, 6085, 7207, 8130, 424, 1878, 3149, 3870, 4536, 6131, 6774, 8083, 663, 1350, 3109, 3776, 4179, 5613, 6780, 7485, 424, 1248, 2926, 3776, 5020, 5573, 7098, 7881, 663, 1809, 2989, 4145, 4319, 5276, 6566, 7753, 831, 1467, 3135, 4145, 4343, 5360, 7162, 7791, 160, 1915, 2975, 4145, 4782, 6081, 6589, 7677, 160, 1791, 2693, 4150, 5096, 5981, 7119, 7753, 160, 2009, 2282, 3231, 4774, 5332, 6698, 8260, 271, 1553, 2163, 4073, 5096, 5844, 6403, 7918, 271, 1674, 2144, 3869, 4983, 5325, 6579, 7341, 737, 2050, 2736, 3890, 4350, 5717, 7222, 7937, 360, 1183, 2141, 3580, 4477, 5775, 6743, 8156, 208, 1988, 3034, 3967, 4639, 5435, 6426, 7756, 569, 1855, 2912, 3967, 4634, 5835, 6904, 8044, 981, 1607, 2868, 4039, 4855, 5535, 6463, 7823, 1094, 1171, 2999, 3771, 4431, 5918, 6425, 7669, 356, 2125, 2944, 3922, 4214, 5687, 6898, 7883, 1079, 1937, 2949, 4168, 4757, 5462, 7006, 7965, 935, 1867, 3043, 4151, 5080, 5345, 6674, 8260, 935, 1833, 3135, 3803, 4888, 6087, 7201, 8147, 555, 1528, 2858, 4011, 4888, 5534, 6604, 8185, 183, 2098, 2181, 3231, 4555, 5719, 6889, 8060, 225, 1264, 2858, 4026, 5091, 5548, 6607, 7887, 334, 1935, 2560, 3555, 4638, 5678, 7047, 8260, 334, 1286, 2693, 4147, 4863, 5590, 7047, 8188, 334, 1258, 2944, 3270, 4412, 5438, 6431, 7740, 568, 1633, 2454, 3374, 4486, 5706, 6486, 7934, 568, 1958, 2904, 3410, 4863, 5296, 6563, 7900, 757, 1269, 2875, 4141, 4985, 5455, 6474, 7906, 617, 2111, 2181, 3515, 4888, 5981, 6705, 7717, 617, 2060, 2992, 3788, 4287, 5963, 7201, 7574, 789, 2065, 3065, 4145, 4737, 5908, 7218, 8236, 789, 2106, 2941, 3407, 4888, 5219, 6607, 7557, 789, 2106, 3144, 3407, 4694, 6195, 6752, 8080, 789, 1937, 2833, 3407, 4888, 5296, 7090, 8076, 475, 1304, 2941, 3407, 4762, 5890, 6809, 7826, 475, 1851, 2349, 3770, 5166, 5223, 7120, 7716, 715, 1833, 2349, 3980, 4186, 5678, 7129, 7641, 166, 1517, 2338, 3675, 4467, 5650, 6267, 8251, 492, 1341, 2218, 3655, 5178, 5555, 7086, 7817, 472, 1372, 2905, 3321, 4242, 6008, 6335, 7545, 835, 1919, 2661, 3921, 4394, 6217, 6754, 8078, 113, 1244, 2326, 3578, 5114, 5569, 6418, 7836, 211, 1360, 3075, 3446, 4448, 5678, 6771, 7983, 1090, 1978, 2783, 3793, 4435, 6110, 7010, 8107, 160, 1881, 2994, 3233, 4509, 5678, 6349, 8073, 1071, 2036, 2429, 3352, 4912, 5534, 6810, 7386, 1033, 1808, 3137, 3862, 5188, 5276, 6724, 7248, 104, 1809, 3003, 3717, 4883, 6166, 6254, 7799, 993, 1773, 2455, 3154, 4780, 5478, 6465, 8069, 826, 1681, 3075, 3169, 4343, 6089, 7114, 8126, 1029, 1583, 2791, 3977, 4546, 5618, 6267, 7777, 492, 1740, 2689, 3552, 4800, 5519, 7116, 8050, 876, 1828, 3005, 3788, 4364, 5465, 6963, 7496, 684, 1238, 2132, 3994, 4757, 5605, 6680, 7405, 818, 2000, 2754, 3982, 5159, 6103, 7198, 7256, 186, 2073, 2947, 3206, 5104, 5635, 7239, 8260, 186, 1804, 3135, 3932, 5038, 6195, 6979, 7716, 510, 1998, 2781, 3188, 4980, 5534, 6709, 7631, 100, 1396, 2349, 3507, 5149, 5479, 6765, 7858, 707, 1894, 3046, 3839, 5011, 5830, 6378, 7735, 878, 1177, 3095, 3446, 4983, 6166, 6983, 7913, 715, 1529, 3112, 3470, 4659, 5802, 6674, 7699, 271, 1499, 2356, 3369, 4570, 5600, 6347, 7895, 314, 1213, 2506, 3392, 4417, 5810, 6592, 8001, 249, 1290, 2506, 3573, 4468, 5447, 6324, 7661, 83, 2008, 2203, 3567, 4288, 5570, 6663, 7868, 993, 2019, 2348, 3780, 5124, 6086, 6732, 7869, 1016, 2048, 2203, 3721, 4570, 5223, 6350, 7527, 1011, 1251, 2797, 3685, 5084, 5671, 7169, 7481, 1025, 1992, 2396, 4031, 4856, 5541, 6881, 8047, 970, 1489, 2981, 3567, 4428, 5250, 6646, 8088, 955, 1849, 2493, 3755, 4861, 5702, 6622, 7831, 951, 1238, 2326, 3990, 4828, 5590, 7044, 7537, 970, 1897, 2839, 3231, 4389, 5705, 6393, 8120, 1011, 1791, 3090, 3509, 4468, 5350, 6927, 7462, 678, 1992, 2170, 3742, 4387, 6117, 6632, 7422, 1024, 1633, 2985, 4146, 4825, 6103, 6953, 8121, 110, 1992, 2636, 3709, 4901, 5893, 6563, 8143, 951, 1681, 2556, 3508, 4759, 6182, 7184, 8256, 951, 1248, 3061, 4074, 4555, 5245, 6769, 7948, 110, 1768, 2196, 3908, 4415, 5362, 7035, 8044, 1081, 1747, 2944, 3906, 4408, 5872, 7188, 7721, 678, 1248, 2690, 4105, 4484, 5934, 6588, 7660, 678, 2064, 2972, 3986, 4531, 5935, 6426, 7725, 940, 1146, 2361, 4028, 4555, 5296, 6650, 7836, 970, 1897, 2771, 3681, 4555, 5220, 6953, 7996, 390, 2067, 2970, 3909, 4996, 5968, 6978, 8120, 833, 1906, 2389, 3595, 5011, 6198, 7042, 7806, 715, 1633, 2167, 3309, 5020, 5219, 7012, 7919, 709, 2091, 2163, 3231, 5135, 5613, 6713, 8128, 1056, 1716, 2163, 3518, 4437, 5840, 7096, 7717, 572, 1881, 2871, 3487, 4881, 6204, 6898, 7494, 1024, 1139, 2593, 3448, 4556, 6002, 6382, 7689, 175, 2008, 2365, 3484, 4364, 5443, 6632, 7951, 981, 1557, 2355, 4154, 4636, 5610, 6402, 8253, 308, 2111, 2754, 3751, 4191, 5675, 7010, 8254, 956, 1847, 2678, 3413, 4289, 5832, 6443, 7706, 915, 2111, 2944, 4018, 4681, 5219, 6677, 7421, 142, 2017, 2914, 3825, 4704, 6139, 6794, 8076, 488, 2017, 2806, 3893, 4624, 5901, 6996, 8260, 818, 2017, 2164, 3893, 4782, 6139, 7239, 7876, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 4, 2 ]
[ 1, 16, 5, 42, 69, 30, 5, 76, 17, 54, 5, 5, 5, 66, 73, 5, 5, 3, 142, 2111, 3117, 3825, 4704, 6211, 7098, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2914, 3893, 4624, 6139, 6794, 7766, 484, 1648, 2164, 4114, 5038, 5385, 7006, 7715, 948, 2060, 2860, 3917, 4412, 5661, 7212, 7807, 262, 2069, 2509, 3472, 4211, 6114, 7166, 7864, 331, 1385, 2678, 3661, 4381, 5431, 6732, 7873, 803, 1917, 2400, 3936, 4448, 6100, 6976, 7709, 91, 1978, 2387, 3393, 4675, 5372, 6842, 7769, 663, 1463, 2144, 3224, 4191, 5534, 7098, 8227, 1056, 2046, 3098, 4151, 4374, 6058, 6972, 8044, 100, 1601, 2261, 4099, 4549, 5242, 7012, 7736, 1101, 1966, 2258, 4047, 5101, 5538, 7240, 7678, 574, 1655, 2675, 4137, 4306, 6153, 6986, 7492, 332, 1740, 2607, 3552, 4528, 6135, 6674, 8178, 876, 1740, 2648, 3315, 5091, 5908, 6603, 7823, 1001, 1490, 2175, 4021, 4459, 5690, 6954, 7637, 103, 1107, 2716, 3928, 4596, 6207, 6373, 7498, 510, 1770, 2629, 4074, 5125, 5661, 6809, 7753, 510, 1881, 2356, 3914, 5088, 5565, 6734, 8261, 427, 1933, 3089, 4145, 5080, 6129, 6588, 7948, 1056, 2079, 3095, 4114, 4276, 5534, 6996, 8236, 610, 2079, 2493, 4150, 5166, 6129, 7143, 7690, 1056, 1700, 2754, 3188, 5115, 5540, 6589, 7641, 663, 1218, 3150, 3908, 5165, 6205, 6988, 8093, 831, 1871, 3108, 3763, 4633, 5573, 7168, 8085, 1022, 1383, 2481, 3226, 4856, 5534, 7207, 7379, 864, 2049, 2705, 3259, 5018, 5833, 6953, 7528, 1009, 1902, 2736, 3422, 4274, 5277, 6234, 7657, 150, 1520, 2506, 3849, 4684, 6166, 7086, 7859, 884, 2045, 2532, 3622, 4855, 5701, 6866, 7648, 884, 1903, 3066, 3605, 4527, 5569, 6751, 7360, 884, 1196, 2436, 3498, 4741, 6104, 6748, 7336, 610, 1141, 2389, 4096, 4364, 5933, 7168, 7936, 887, 1831, 2868, 3469, 4795, 5765, 6901, 7537, 663, 1640, 2678, 3917, 4282, 5687, 6736, 7918, 424, 2028, 2515, 3390, 4470, 5752, 6809, 7542, 103, 1807, 2818, 3956, 5042, 5714, 7082, 8016, 1056, 1562, 2868, 3916, 4622, 6120, 7207, 7831, 859, 2068, 2989, 3932, 5088, 6182, 7218, 8267, 195, 1372, 2741, 3564, 4411, 5372, 7200, 7734, 225, 1375, 3133, 3753, 4701, 5825, 6850, 7776, 225, 1684, 2946, 3986, 5073, 6056, 6444, 7781, 757, 1286, 2858, 4093, 5138, 6048, 7103, 8188, 153, 1286, 3139, 3891, 4682, 6117, 6671, 7959, 552, 1218, 2729, 3852, 4470, 6187, 6605, 8061, 930, 1158, 2375, 4156, 4553, 5429, 7163, 7532, 137, 1509, 2387, 3605, 4869, 6172, 6501, 7574, 930, 1726, 2387, 3601, 4347, 5259, 7149, 8095, 1038, 1317, 2293, 4137, 4513, 5934, 6819, 7317, 344, 1317, 2156, 4137, 4650, 6012, 7126, 7413, 344, 1317, 2940, 3239, 4678, 5689, 7064, 7537, 277, 1317, 3053, 4015, 4566, 5325, 6737, 8006, 547, 1317, 2631, 3154, 4635, 6080, 6413, 7676, 266, 1317, 2695, 4073, 4761, 5764, 6583, 7534, 150, 1317, 3052, 3433, 4451, 5893, 6663, 7736, 610, 1317, 2348, 3446, 5018, 5576, 6892, 7873, 1011, 1581, 3046, 3314, 4918, 5862, 7095, 7948, 678, 1660, 2863, 4105, 4925, 5862, 7223, 8193, 1056, 2095, 3143, 4171, 5139, 5730, 6755, 8260, 684, 2024, 3150, 3931, 4287, 6175, 6979, 8237, 956, 1945, 3007, 3982, 5061, 5241, 6979, 7485, 1097, 1175, 2989, 3188, 5061, 6182, 7132, 8267, 818, 2000, 2730, 4011, 5060, 6211, 7201, 7887, 818, 2000, 2925, 3710, 4624, 6085, 7124, 7766, 488, 1528, 2746, 3893, 4624, 6139, 7077, 8267, 818, 1791, 2914, 3710, 5104, 6139, 6972, 8179, 818, 1622, 2991, 3893, 5104, 6129, 6972, 7876, 488, 1528, 2914, 3893, 4624, 6103, 7077, 8196, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 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, 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, 66, 69, 51, 5, 16, 5, 64, 26, 52, 16, 54, 66, 5, 41, 34, 63, 76, 33, 52, 5, 17, 75, 5, 31, 14, 66, 5, 62, 52, 39, 64, 5, 17, 75, 5, 53, 33, 54, 47, 5, 53, 33, 53, 35, 47, 78, 3, 555, 1695, 2340, 3914, 5143, 5527, 7220, 7778, 555, 1695, 3144, 4174, 4822, 5219, 6996, 8236, 105, 1695, 2729, 4174, 4583, 5241, 6709, 8236, 555, 1695, 3150, 3838, 4624, 5901, 6604, 7887, 818, 1648, 2806, 3391, 4387, 5241, 7077, 8080, 488, 2017, 2806, 3893, 4704, 5901, 7124, 8237, 488, 2017, 2806, 3825, 4624, 6139, 7077, 8223, 186, 1963, 2838, 4170, 4624, 5635, 6752, 8237, 914, 1304, 2324, 4145, 4512, 5385, 7084, 8237, 987, 1597, 2487, 4037, 4214, 5849, 6938, 7291, 640, 1476, 2825, 3765, 4911, 6073, 6987, 7772, 858, 1533, 2848, 4138, 4728, 5880, 6626, 7748, 390, 1360, 3053, 3543, 4762, 5413, 6566, 7260, 1056, 1850, 2783, 3776, 4533, 5700, 7048, 8083, 510, 1455, 2946, 3932, 5139, 5573, 6734, 8261, 475, 2001, 2793, 3945, 4622, 5410, 7220, 7735, 276, 1345, 2181, 3819, 4411, 5792, 7073, 7793, 225, 1349, 3144, 3726, 4197, 5906, 6637, 8055, 948, 1971, 2550, 3692, 4966, 6149, 7033, 7855, 1098, 1510, 3089, 3298, 4636, 5570, 6985, 8149, 864, 1510, 2309, 3164, 5124, 5993, 6889, 7369, 678, 1463, 2788, 3648, 4225, 5777, 6403, 7873, 1097, 2073, 2553, 4078, 4215, 5216, 6786, 7607, 484, 1869, 3008, 4171, 5061, 5899, 6584, 8093, 473, 1237, 2469, 3849, 5183, 5436, 7230, 7815, 779, 1770, 2469, 3983, 5058, 5883, 6744, 8188, 391, 1388, 2989, 3448, 5088, 5463, 7049, 7456, 1080, 1828, 2678, 3740, 5040, 6157, 6529, 7597, 511, 1762, 2979, 4082, 4319, 6121, 7066, 7546, 1067, 1496, 2848, 3514, 5055, 5613, 6423, 7789, 448, 1171, 2881, 3467, 4560, 5880, 6486, 8173, 699, 1935, 3038, 3416, 5079, 5684, 7010, 7895, 127, 2002, 2156, 3352, 4529, 5515, 7077, 7908, 127, 1826, 2454, 3838, 4916, 6062, 6584, 8102, 654, 1750, 3018, 3364, 4654, 5521, 6286, 7906, 654, 1750, 3139, 3518, 4274, 6205, 7103, 7715, 654, 1826, 2608, 4166, 4793, 5689, 6251, 7948, 240, 1606, 2542, 3487, 4237, 5521, 6504, 7275, 240, 1304, 2542, 3592, 4549, 5844, 7082, 8262, 654, 2060, 2554, 3277, 4863, 5624, 6338, 7838, 654, 1826, 2473, 3754, 5166, 6157, 6840, 8130, 228, 1468, 2904, 4125, 5193, 5840, 6515, 8132, 356, 1490, 2718, 4175, 5007, 6110, 7111, 7870, 948, 1490, 2754, 3992, 4337, 5624, 6588, 7627, 360, 2020, 2344, 3245, 4835, 5624, 6501, 8165, 814, 1959, 3080, 3365, 4843, 5277, 6609, 7536, 360, 1865, 3045, 3610, 5140, 5273, 6484, 7804, 581, 1284, 2436, 3506, 4927, 5552, 6529, 7567, 493, 1509, 2757, 3394, 4927, 5948, 6230, 8215, 339, 1171, 2913, 3245, 4775, 5624, 6293, 7597, 339, 1637, 2331, 3599, 4456, 5755, 6984, 7983, 730, 1356, 2953, 3718, 4755, 5921, 6295, 7479, 611, 1421, 2871, 3356, 4232, 5600, 6730, 7702, 386, 2118, 2439, 3343, 4678, 5924, 6889, 7582, 271, 1424, 2693, 3595, 4814, 5819, 6978, 7438, 216, 1363, 2293, 3251, 4316, 5824, 7220, 7405, 401, 2049, 2163, 3601, 4326, 5681, 7156, 7906, 1047, 1299, 3007, 3543, 5145, 5568, 6237, 7858, 504, 1400, 2365, 3680, 4855, 6107, 7018, 7563, 840, 1779, 2940, 4137, 4675, 5550, 7004, 7674, 781, 2102, 2172, 3418, 4205, 5856, 7140, 8084, 784, 1177, 2882, 3924, 4236, 5601, 6849, 8123, 940, 1370, 2842, 3601, 5052, 5503, 6437, 8262, 571, 1363, 2924, 3352, 4226, 5279, 7181, 7684, 401, 2081, 2659, 4005, 4470, 5978, 7019, 8195, 678, 1717, 3144, 3645, 4691, 6028, 6612, 7806, 955, 1302, 3098, 3917, 5080, 5643, 7010, 7949, 401, 1402, 3064, 3962, 4586, 5219, 6515, 8261, 1056, 1747, 3098, 3945, 5115, 5883, 7220, 8066, 308, 1869, 2598, 4143, 5159, 5892, 7098, 8147, 789, 2106, 3007, 3231, 5096, 5580, 6810, 7959, 256, 2030, 2941, 3886, 4792, 5963, 7043, 7574, 789, 1525, 2473, 3440, 4555, 6175, 7052, 7715, 256, 2030, 3026, 3710, 4571, 5493, 6283, 8078, 256, 2030, 2466, 3891, 5080, 6129, 6607, 8213, 518, 2097, 2473, 3680, 4493, 6085, 7090, 7806, 901, 2098, 2730, 3240, 4191, 5590, 6996, 8261, 746, 1557, 3043, 3361, 4225, 6102, 6668, 7831, 948, 1637, 2870, 3575, 4792, 5873, 6622, 8041, 1067, 1510, 2633, 3639, 4697, 5276, 6530, 7785, 458, 1510, 3047, 3357, 4992, 6135, 6704, 8142, 249, 1472, 2298, 3298, 4942, 6101, 7028, 7508, 458, 1296, 2165, 3331, 4664, 5889, 6931, 7582, 994, 1773, 2755, 3582, 4664, 5341, 6974, 7902, 536, 1600, 3051, 3298, 4238, 6125, 6536, 7542, 536, 1252, 2389, 4007, 4280, 5716, 6453, 7479, 840, 1252, 2165, 4007, 4709, 5344, 6957, 7299, 840, 1826, 2588, 3345, 4934, 5839, 7181, 8100, 1067, 1531, 2188, 3369, 4473, 5579, 6348, 7711, 271, 1531, 2778, 3342, 4778, 6026, 6917, 7684, 1001, 1655, 3047, 3491, 4238, 5268, 6619, 8189, 150, 1897, 2338, 4047, 4324, 5222, 6396, 8189, 887, 1478, 2348, 4047, 4670, 5931, 6281, 7383, 887, 1717, 2482, 3684, 4330, 6111, 7070, 7906, 1090, 1660, 2679, 3704, 4513, 6197, 7237, 7879, 610, 1672, 3032, 3240, 5079, 6088, 6574, 8209, 831, 1778, 2793, 3945, 5079, 6026, 7095, 7703, 776, 1856, 3061, 3912, 4303, 5944, 6874, 7768, 864, 1897, 2798, 4016, 4770, 5284, 7069, 7576, 1008, 1362, 2149, 4047, 4330, 5930, 6628, 7657, 664, 1655, 2847, 3421, 5114, 5742, 6887, 8178, 840, 1531, 2476, 3366, 4949, 5871, 6269, 7874, 840, 2059, 2339, 3187, 4949, 6167, 6501, 7983, 1001, 1630, 2213, 4168, 4612, 6156, 6354, 7542, 1067, 2089, 2868, 3466, 4321, 6034, 7228, 7271, 961, 2009, 2933, 3727, 4536, 5404, 6348, 8222, 1025, 2089, 2274, 3964, 5050, 5840, 6565, 8145, 610, 1926, 2688, 3233, 5001, 5585, 6262, 7677, 610, 1183, 2688, 3233, 4788, 6107, 7158, 7979, 1084, 1439, 3092, 3300, 4470, 6183, 7174, 7284, 1033, 1988, 2708, 4125, 4203, 5313, 6719, 7378, 277, 1850, 2152, 3165, 5126, 6114, 7072, 7901, 113, 1199, 3066, 3258, 4248, 6120, 6901, 7515, 1008, 1753, 2373, 4099, 4215, 5323, 6883, 8140, 1016, 1867, 2163, 3520, 4755, 6107, 7104, 8021, 211, 1463, 2137, 3728, 4548, 6066, 7218, 8248, 684, 1897, 3110, 4152, 5061, 5475, 6988, 7313, 288, 2063, 3098, 4113, 4849, 5892, 7218, 8083, 308, 1851, 2936, 4114, 5159, 6007, 7084, 7949, 440, 2030, 2771, 3878, 4323, 5493, 6776, 7806, 691, 1724, 2729, 4007, 4630, 5924, 6612, 7312, 895, 1826, 2715, 3680, 4635, 6192, 6426, 7658, 360, 1252, 2568, 3356, 5184, 6035, 6457, 7654, 584, 1826, 3091, 3421, 4616, 6197, 6226, 8065, 161, 1489, 2410, 3394, 4321, 5567, 6710, 8197, 655, 2036, 2953, 3678, 4873, 6184, 6849, 7747, 1062, 1703, 3040, 3292, 4429, 5433, 6410, 7925, 833, 1728, 3049, 3642, 5193, 5948, 7017, 7916, 818, 1897, 2391, 4027, 5125, 5702, 6776, 7485, 935, 1149, 2391, 3891, 5083, 5968, 7218, 8083, 935, 1620, 2391, 3891, 4630, 6131, 7218, 7557, 935, 2017, 3109, 3891, 4861, 6014, 7006, 7782, 935, 1664, 3144, 4018, 4533, 5219, 6996, 7723, 186, 1528, 3109, 4115, 4624, 5219, 6709, 7949, 935, 2017, 2947, 3891, 4630, 6211, 6786, 8185, 935, 1648, 2164, 3367, 4704, 5635, 7124, 8107, 421, 2097, 2139, 3363, 4319, 5943, 7223, 7599, 757, 1865, 3062, 4113, 5138, 6006, 6892, 7717, 317, 1490, 2352, 3901, 4916, 5393, 7121, 7631, 304, 1503, 2783, 3648, 4636, 5671, 6415, 8237, 895, 2019, 2677, 3777, 5127, 5373, 7173, 8050, 936, 1199, 2716, 3392, 4288, 5373, 6765, 7448, 1019, 1828, 2642, 3568, 4962, 5325, 6610, 7497, 1074, 1732, 2156, 3558, 4205, 6197, 7099, 8012, 1040, 1832, 2751, 3316, 5100, 6222, 6571, 8039, 480, 1640, 3018, 3323, 4804, 5212, 6321, 8039, 1025, 1118, 2978, 3939, 4437, 5601, 6525, 7880, 986, 1164, 2345, 3307, 4952, 5918, 6896, 8049, 582, 1742, 2610, 3395, 4665, 5800, 7191, 7913, 103, 2053, 2841, 3631, 4617, 5479, 6550, 8227, 1025, 1942, 2843, 3582, 4777, 5793, 6388, 7869, 424, 1937, 2826, 3983, 4364, 5874, 6452, 7448, 317, 1164, 2175, 3662, 5145, 6051, 6614, 7700, 225, 1773, 2897, 3782, 4412, 5325, 6431, 7624, 225, 1570, 2473, 3592, 4411, 6160, 6642, 7262, 654, 1695, 2468, 3928, 5083, 5730, 6589, 8128, 654, 1345, 2341, 4125, 5159, 5381, 7146, 7677, 654, 1623, 2468, 3394, 5182, 5438, 6632, 7563, 654, 1286, 2791, 3928, 4927, 5672, 7041, 8261, 518, 1756, 2554, 3394, 4549, 6175, 7024, 7891, 518, 1756, 3006, 3227, 4870, 6157, 6906, 7838, 654, 2111, 2904, 3227, 4459, 5830, 6752, 8266, 568, 1623, 2791, 3595, 5080, 5413, 6291, 7732, 568, 1935, 2554, 3595, 5143, 5581, 6584, 7677, 228, 2118, 3147, 3227, 5134, 5296, 6604, 7485, 617, 2061, 2775, 3550, 5135, 5908, 6988, 7920, 617, 2127, 2718, 3796, 4775, 5963, 6648, 7865, 555, 1623, 2833, 3726, 5135, 6175, 7069, 7485, 860, 2111, 2806, 3595, 5166, 5890, 6688, 7485, 488, 1622, 2806, 3595, 4624, 6139, 7077, 7715, 488, 2017, 3117, 3367, 4624, 6139, 7124, 8196, 818, 1648, 2833, 4071, 4624, 6139, 6996, 8196, 555, 1750, 2970, 4071, 4870, 5635, 7120, 8196, 859, 1332, 2970, 3891, 4536, 5436, 6688, 8080, 552, 2013, 2669, 3967, 4387, 5963, 6291, 8066, 555, 2111, 2164, 3914, 4890, 5550, 7077, 7476, 488, 2017, 3117, 3891, 4798, 5892, 7077, 8083, 142, 1528, 2806, 4018, 4704, 6211, 6589, 8196, 186, 1844, 2164, 3891, 4366, 5612, 6794, 8196, 555, 2065, 2949, 4018, 4798, 5534, 7077, 8267, 756, 1567, 2293, 3975, 5159, 5550, 7129, 7815, 294, 1199, 2430, 3287, 4818, 5673, 6433, 8232, 868, 1346, 2813, 3957, 4187, 6126, 6466, 7644, 893, 1658, 2584, 3752, 4677, 5533, 6799, 7593, 776, 1762, 2450, 3619, 4501, 5429, 6523, 7503, 779, 1597, 2820, 3904, 5145, 6080, 7018, 7500, 709, 2068, 3135, 3843, 4762, 5565, 7004, 7776, 684, 1508, 2834, 3961, 4861, 6129, 7160, 8179, 1097, 2041, 2754, 3226, 4447, 5573, 6786, 8260, 956, 1963, 2586, 4071, 4630, 6211, 6467, 8267, 211, 1750, 2391, 3886, 5058, 5968, 7239, 7570, 390, 1700, 3007, 3918, 4782, 5612, 6709, 7723, 610, 1989, 2887, 4068, 5169, 6131, 6988, 7715, 752, 1932, 2716, 4145, 4993, 5899, 6708, 7919, 650, 2056, 2429, 3828, 4343, 6141, 7019, 7803, 545, 1531, 2874, 3502, 4509, 5689, 6682, 7941, 826, 1531, 2230, 3205, 4415, 5880, 6564, 7815, 826, 1141, 2846, 3973, 4274, 5843, 7045, 8094, 1023, 1507, 2652, 3264, 5001, 5631, 7126, 7962, 399, 1349, 2627, 3239, 4689, 5675, 6674, 8149, 737, 1938, 2260, 3394, 4455, 5578, 6909, 7462, 314, 1938, 2687, 3642, 4510, 6026, 7050, 7873, 216, 1999, 2349, 3474, 4690, 5279, 6239, 7791, 386, 1928, 3070, 4073, 4982, 5317, 7168, 7816, 807, 1248, 2404, 3558, 4613, 5344, 6843, 7710, 1023, 1550, 2222, 4128, 4841, 5486, 6615, 8077, 234, 1550, 2764, 3239, 4807, 6154, 6691, 7534, 234, 1550, 2961, 3464, 4514, 5224, 7126, 7336, 807, 1178, 2207, 3623, 4900, 5976, 6592, 7592, 862, 1550, 2292, 3472, 4776, 5907, 6438, 7375, 938, 1550, 2764, 4021, 4514, 5863, 6237, 7903, 938, 1773, 2250, 3623, 4813, 6191, 6895, 7702, 1047, 1770, 2783, 3979, 4334, 5475, 6613, 7675, 504, 1400, 2887, 3756, 4807, 5350, 7084, 8184, 386, 1141, 2292, 3342, 5124, 5610, 6254, 8265, 271, 1141, 2490, 3558, 4374, 5643, 6732, 8209, 504, 1400, 2440, 3271, 5018, 5713, 6536, 8232, 1080, 1655, 2460, 3231, 5122, 5602, 6365, 7788, 602, 1826, 2188, 3284, 4585, 6073, 6456, 7534, 896, 1826, 2437, 3485, 4687, 5495, 6681, 8103, 1023, 2120, 2183, 3448, 4644, 5356, 6337, 8092, 363, 1826, 2866, 4079, 4800, 5224, 6467, 8150, 840, 1826, 2758, 4007, 4636, 5765, 7072, 7797, 778, 1755, 3145, 3679, 4812, 5671, 6403, 7740, 401, 2053, 2891, 3917, 4677, 6024, 7203, 7260, 150, 1820, 2429, 3430, 5110, 5981, 7148, 8209, 887, 1630, 2429, 3258, 4954, 5954, 6768, 8259, 887, 2053, 2737, 3968, 4807, 5512, 7152, 8241, 104, 1141, 2946, 3540, 4981, 5210, 6938, 7582, 113, 2084, 2740, 3649, 4208, 5946, 7232, 7815, 535, 1865, 2876, 3840, 4544, 5600, 6476, 7950, 895, 1886, 2265, 3911, 4556, 5602, 6478, 8061, 641, 1796, 2761, 3409, 4677, 5555, 7222, 8061, 1084, 1545, 2332, 4079, 4359, 5459, 6295, 7798, 1005, 1966, 2332, 4117, 5127, 5341, 6370, 7583, 1057, 1453, 2352, 3793, 4954, 6163, 6769, 7582, 895, 1736, 2750, 4066, 5146, 5824, 6463, 8258, 91, 1494, 3039, 3943, 5096, 5953, 7081, 7997, 827, 1881, 2631, 4007, 5049, 5603, 6413, 8161, 113, 2118, 2615, 3425, 5072, 5552, 7066, 8193, 668, 1653, 2142, 3635, 4278, 5918, 6842, 8079, 1036, 1597, 2610, 4037, 4612, 5818, 6984, 8065, 692, 1597, 2751, 3766, 5054, 5584, 6251, 8061, 620, 1942, 2506, 3963, 4562, 5690, 6531, 7795, 862, 1397, 2506, 3304, 4945, 5640, 7154, 8161, 1080, 1550, 3032, 3943, 5134, 5924, 6348, 7828, 981, 1706, 3039, 3884, 4881, 6119, 6564, 7387, 487, 1992, 2692, 3733, 4604, 6096, 7181, 7634, 995, 1118, 3116, 4092, 5124, 5898, 7102, 7776, 692, 1550, 2751, 3522, 4711, 5540, 7030, 7958, 952, 1472, 2515, 3764, 4323, 5381, 6986, 7602, 938, 1570, 3116, 3443, 4620, 5458, 7229, 8078, 715, 1489, 2543, 3592, 4216, 6147, 6569, 7962, 317, 1773, 2771, 3188, 4321, 5354, 6528, 7488, 317, 1280, 2720, 3844, 4513, 5865, 6918, 7975, 225, 1773, 2359, 3648, 4775, 5413, 7044, 7664, 518, 1311, 3095, 4168, 5048, 5436, 6988, 8066, 518, 2111, 2542, 4145, 4859, 5677, 7100, 8076, 228, 1304, 2554, 3535, 4888, 5787, 7207, 8236, 228, 1623, 2565, 4006, 4870, 5223, 6612, 8102, 183, 1851, 2565, 4125, 4700, 5962, 6612, 7806, 617, 1858, 2833, 3770, 4267, 5797, 6486, 7548, 859, 1684, 2565, 4138, 4727, 5515, 7168, 8132, 186, 2111, 2210, 3914, 5138, 5963, 7120, 8076, 860, 2017, 2806, 3595, 4624, 6139, 7124, 7949, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 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, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 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, 4, 2 ]
[ 1, 76, 45, 31, 5, 31, 16, 5, 53, 48, 54, 78, 5, 17, 75, 5, 41, 20, 63, 53, 44, 55, 5, 16, 5, 52, 45, 66, 35, 5, 5, 3, 419, 1971, 2839, 4121, 5127, 5796, 7157, 7992, 617, 1695, 2880, 3891, 4522, 5514, 6813, 7965, 552, 2127, 3095, 3914, 5135, 5219, 7160, 7485, 484, 2088, 3026, 4145, 4512, 6175, 6688, 8080, 860, 2073, 2806, 4071, 4704, 5963, 7201, 8196, 860, 2017, 2806, 3893, 4704, 6139, 7226, 8196, 488, 2017, 2806, 3893, 4624, 6081, 7077, 8223, 818, 1218, 2960, 3893, 4822, 6186, 7077, 7949, 1099, 1508, 2164, 3945, 4980, 5635, 7239, 7485, 318, 1932, 2941, 4082, 5127, 5761, 6605, 8235, 716, 1956, 2436, 3245, 5049, 5259, 6853, 7467, 955, 1202, 2436, 3917, 4545, 5285, 6443, 7498, 211, 1335, 2439, 3707, 4617, 6111, 7202, 8027, 1037, 2125, 3150, 3918, 5061, 6103, 6752, 8093, 120, 1989, 2436, 3429, 4541, 5579, 6778, 8081, 325, 1826, 2868, 3196, 4567, 5793, 6949, 7574, 117, 1299, 2346, 3459, 5011, 5334, 6838, 7896, 665, 2059, 2951, 3949, 4365, 6059, 6628, 8143, 778, 1660, 2429, 4027, 4773, 5498, 7007, 7910, 104, 1269, 2401, 3314, 4795, 6000, 6614, 7972, 1025, 1850, 2429, 3756, 4501, 5978, 6603, 7677, 1025, 1630, 2610, 3271, 4543, 5485, 7030, 7532, 826, 1858, 2292, 3396, 4617, 5899, 6901, 8227, 887, 1782, 2895, 3410, 4954, 5363, 6830, 8170, 104, 1978, 2552, 3430, 4700, 5614, 6813, 8070, 850, 1777, 2258, 3410, 5020, 5423, 7086, 7563, 936, 1601, 3063, 3238, 4821, 6016, 7244, 8180, 936, 1561, 2519, 3410, 4651, 5379, 7114, 7538, 545, 1350, 2973, 3417, 4402, 6002, 6871, 7726, 545, 1914, 2678, 4117, 4751, 6130, 6430, 7447, 936, 1637, 2464, 3513, 4733, 5523, 6491, 7538, 104, 1550, 2807, 3351, 4220, 5825, 6710, 8258, 986, 1721, 2923, 3417, 4383, 6213, 6998, 7962, 487, 1771, 2464, 3753, 5022, 5543, 7222, 8150, 784, 1550, 2429, 3538, 5081, 5269, 7175, 7770, 504, 1269, 2649, 3986, 5101, 6130, 6371, 7494, 386, 1550, 2134, 4145, 4737, 5310, 6240, 7658, 643, 1948, 2890, 3417, 4306, 6131, 7000, 8182, 504, 1717, 2661, 3361, 4981, 5677, 7114, 7664, 643, 1269, 2924, 4082, 4665, 6073, 6822, 7605, 504, 1688, 2429, 3169, 4807, 6075, 7207, 7676, 386, 1777, 2515, 3616, 4693, 6077, 7103, 8248, 1081, 1692, 3008, 3410, 5164, 6123, 6566, 7677, 317, 1717, 2658, 3251, 4209, 5584, 6962, 7260, 654, 1994, 3043, 3543, 5095, 5810, 6671, 7846, 576, 2118, 3032, 4080, 4321, 5584, 7157, 7660, 613, 1323, 2818, 4117, 4579, 5333, 7200, 7381, 614, 1323, 2503, 3169, 4996, 5205, 6614, 7893, 681, 1299, 2455, 3993, 5074, 5828, 6763, 7728, 803, 1708, 2727, 3365, 4364, 5665, 7136, 8217, 1035, 1582, 2762, 3877, 4898, 5823, 6502, 7533, 256, 1939, 2519, 3512, 4589, 5539, 6547, 7254, 518, 1753, 2326, 3929, 5073, 5613, 7212, 7660, 878, 1452, 2383, 3908, 4611, 6058, 6752, 8213, 256, 2024, 2991, 3352, 4863, 6195, 7129, 7887, 256, 1467, 2970, 3352, 5165, 6146, 6584, 7876, 256, 1620, 3064, 3407, 4867, 6205, 6734, 7336, 256, 1620, 2781, 3879, 4916, 6032, 6750, 7806, 901, 1286, 2991, 3352, 4276, 5684, 6717, 7574, 878, 1304, 2971, 3866, 4536, 5218, 7041, 7509, 1015, 1389, 2833, 3201, 5168, 5899, 6612, 7658, 132, 1869, 2996, 3470, 4558, 5684, 7085, 7885, 731, 1984, 2754, 3964, 5083, 5983, 7218, 8173, 318, 1251, 2831, 4034, 4759, 5746, 6677, 7898, 784, 1688, 3090, 3804, 5143, 5606, 6912, 7577, 540, 1106, 2392, 3735, 5114, 5351, 6693, 7451, 784, 2035, 2425, 3609, 5081, 5499, 7220, 7466, 150, 2029, 2623, 3369, 4578, 5993, 6244, 8117, 784, 1727, 2700, 3707, 4658, 5858, 7061, 7628, 150, 1783, 2205, 4158, 5081, 5528, 7181, 7973, 784, 2035, 2655, 3685, 4593, 5254, 6485, 8145, 887, 1867, 2638, 3495, 4276, 6162, 6404, 7606, 643, 1755, 3043, 3910, 4812, 5924, 6850, 7386, 223, 1886, 2868, 3909, 4972, 5630, 6677, 7457, 1033, 1886, 2837, 3679, 4814, 5796, 6613, 8126, 1036, 2055, 3075, 3680, 4352, 5927, 6278, 7542, 363, 1834, 2357, 4047, 4711, 5257, 6267, 7781, 1029, 1550, 2870, 3764, 5152, 5441, 7147, 7761, 304, 1992, 2440, 3637, 5152, 5584, 6898, 7752, 1035, 1858, 2563, 3229, 4757, 5298, 7019, 7706, 1024, 1269, 2581, 3826, 4536, 5981, 6976, 7400, 1024, 1141, 2247, 3410, 4887, 5832, 6687, 8250, 498, 1596, 3040, 4010, 4541, 5321, 6491, 7513, 92, 1183, 2731, 4083, 4401, 5404, 6654, 7892, 1009, 1183, 2605, 4163, 4590, 5364, 6846, 7480, 864, 2066, 2494, 4160, 4185, 5730, 6906, 7862, 643, 2066, 2250, 4030, 5193, 5444, 6502, 7976, 970, 1415, 3092, 3420, 5192, 5787, 6502, 8048, 970, 1363, 2173, 3826, 5079, 6063, 6612, 8132, 571, 1543, 2254, 3932, 4343, 5954, 7162, 8126, 643, 2066, 2940, 3777, 5106, 5596, 6884, 7591, 970, 1982, 3092, 3578, 4337, 5360, 6980, 7933, 970, 1886, 2173, 3865, 4807, 5366, 6515, 8079, 692, 2066, 2497, 3356, 4586, 5845, 6566, 7919, 381, 1826, 2497, 3254, 4457, 5584, 6570, 8030, 1080, 1438, 2953, 3279, 4542, 5925, 6484, 8189, 784, 2047, 2725, 3434, 4697, 6118, 7157, 7920, 1052, 1692, 2856, 4076, 5154, 6191, 7173, 7584, 715, 1587, 2536, 3839, 4896, 5971, 6981, 7861, 475, 1471, 2944, 3204, 4764, 5202, 7007, 7545, 518, 1982, 2683, 4150, 5169, 5844, 6840, 8085, 317, 1623, 2991, 3188, 4843, 5950, 6443, 7811, 617, 1623, 2656, 3710, 5129, 5821, 6338, 8017, 211, 1918, 2729, 4098, 4861, 5381, 7033, 7591, 223, 1540, 2315, 4150, 5088, 5641, 6443, 8058, 569, 1758, 2941, 3488, 4215, 5553, 6702, 7341, 974, 1586, 2629, 4005, 4796, 5918, 6716, 7505, 1080, 1496, 2926, 3687, 4723, 5721, 7047, 7634, 693, 1586, 2751, 3533, 4279, 5289, 6838, 7312, 981, 1586, 2494, 3398, 4746, 5496, 6614, 7509, 1038, 1562, 2884, 3641, 5194, 6016, 6944, 8118, 959, 1849, 2775, 3273, 4204, 6175, 6284, 8092, 1091, 1758, 3109, 3550, 4343, 5796, 6979, 7658, 959, 1149, 3026, 3900, 4893, 6025, 6905, 8126, 427, 2111, 2391, 3771, 4456, 5811, 6988, 7959, 552, 1998, 3109, 3900, 5183, 6084, 7132, 7899, 859, 1858, 2959, 3602, 4829, 5824, 7010, 7602, 552, 1475, 2944, 3912, 4181, 5981, 6786, 8093, 186, 2111, 2679, 3886, 5166, 6195, 7207, 7591, 488, 2017, 2914, 3803, 4704, 5687, 7124, 7949, 818, 2017, 2391, 3893, 4888, 6186, 7124, 8267, 818, 1648, 2914, 3825, 4888, 6139, 7124, 7766, 186, 2017, 2164, 3893, 4624, 6186, 7077, 7723, 186, 1648, 2164, 3825, 5060, 5635, 7077, 8147, 555, 1623, 2858, 3595, 5060, 5678, 7129, 8260, 488, 1623, 2833, 4171, 4888, 6137, 7124, 8223, 4, 2 ]
[ 1, 14, 78, 5, 31, 16, 5, 53, 11, 55, 42, 63, 16, 52, 5, 64, 62, 14, 66, 5, 23, 66, 5, 31, 16, 5, 44, 54, 51, 17, 53, 28, 35, 44, 55, 5, 42, 14, 42, 5, 17, 75, 5, 41, 36, 5, 5, 3, 555, 1695, 2740, 4174, 5075, 6211, 6584, 8083, 555, 1345, 2839, 3851, 4890, 5840, 6972, 7410, 337, 1490, 3143, 3388, 5143, 5219, 6752, 8076, 186, 1332, 3144, 3994, 5060, 5436, 6809, 7715, 488, 1945, 2806, 4174, 4551, 5892, 6996, 8237, 915, 1406, 2960, 3891, 5060, 6129, 6752, 7421, 715, 1388, 3080, 3533, 4186, 5436, 6726, 8140, 830, 1107, 2787, 3765, 4532, 6220, 6978, 8203, 723, 1653, 3103, 3421, 5081, 5492, 6442, 7545, 893, 1706, 2273, 4137, 4819, 5512, 6413, 8229, 825, 1139, 2693, 3417, 4843, 5689, 6486, 7793, 1014, 1596, 2818, 3472, 5026, 6137, 6728, 8120, 518, 1961, 2582, 3361, 5150, 5368, 6963, 8226, 440, 1460, 2473, 4152, 4678, 5520, 6651, 8024, 308, 1525, 2754, 3723, 4213, 5641, 6895, 7749, 804, 2097, 2780, 4115, 4822, 6014, 7019, 7557, 952, 2012, 2869, 4082, 4307, 5781, 6830, 8266, 115, 1881, 2152, 4151, 4364, 6147, 7047, 7349, 752, 1463, 3067, 3498, 4916, 5953, 6609, 7574, 1024, 1337, 2657, 3448, 4338, 5568, 6614, 7273, 319, 1399, 2137, 3229, 4333, 6135, 6715, 7842, 1035, 1943, 2365, 3314, 4970, 5644, 6279, 8143, 424, 1878, 2923, 3671, 4186, 5978, 6884, 8066, 391, 1587, 2554, 3464, 4435, 5850, 7136, 7288, 335, 1146, 2597, 3391, 4328, 5492, 6633, 7677, 424, 1878, 2175, 3766, 5193, 5694, 6633, 7741, 937, 1440, 2175, 3929, 4421, 5265, 7202, 8117, 831, 1369, 2175, 3732, 4589, 6182, 6366, 7582, 424, 1674, 2895, 4022, 4364, 6190, 7156, 8210, 937, 1996, 2693, 3631, 4901, 5810, 6917, 7291, 778, 2053, 2132, 4066, 4934, 6196, 6659, 7962, 104, 1326, 2330, 3516, 5081, 5205, 6542, 7857, 646, 1581, 2756, 3479, 4642, 5551, 6561, 7751, 472, 1130, 2173, 3481, 4471, 6004, 6301, 7812, 517, 2124, 2495, 3322, 4683, 5775, 6745, 7457, 517, 2033, 3011, 3567, 4626, 5934, 6477, 7758, 738, 2033, 2275, 4100, 4642, 5745, 6442, 7963, 465, 1326, 2894, 3894, 5105, 5510, 6905, 7510, 895, 1183, 2383, 3915, 4475, 5989, 7025, 7849, 1090, 1529, 2902, 3263, 4717, 5574, 6826, 8031, 1025, 1370, 2207, 4067, 4965, 5615, 6807, 7435, 778, 1755, 2222, 3973, 4321, 6094, 6812, 7665, 104, 1541, 3003, 3410, 4268, 5950, 6657, 7895, 610, 1809, 2678, 3771, 5122, 6080, 7075, 7548, 104, 1633, 2783, 3188, 4180, 5972, 6281, 7926, 391, 1322, 2944, 3949, 4435, 5610, 6314, 7846, 408, 1747, 2994, 3426, 4734, 5653, 6769, 8266, 1025, 1399, 3080, 3669, 5073, 5901, 7098, 7720, 424, 1978, 2944, 4011, 4912, 6018, 6630, 8267, 1090, 1660, 2493, 4067, 4797, 6024, 7060, 7718, 778, 1405, 2703, 4027, 5073, 5990, 6871, 7732, 536, 2052, 2241, 3974, 4641, 5899, 6265, 7791, 536, 1512, 2312, 3950, 4451, 6223, 6645, 7644, 536, 1669, 3050, 3675, 5018, 6066, 6717, 8126, 536, 1633, 2389, 3156, 4248, 5447, 6857, 8006, 150, 1199, 2727, 3420, 5003, 5553, 7119, 8089, 1067, 1199, 2732, 3325, 4725, 5716, 6767, 7496, 678, 2050, 3032, 3300, 4348, 5249, 6559, 7637, 504, 2035, 2452, 3333, 4559, 5481, 7047, 7811, 678, 1248, 2167, 4128, 4543, 6120, 7233, 7774, 575, 1356, 2137, 3950, 4334, 5482, 6630, 7260, 1081, 1407, 2748, 4165, 4815, 5678, 7197, 7586, 211, 1608, 2965, 4011, 4289, 5534, 7095, 8128, 789, 1939, 2820, 3993, 4447, 5586, 6579, 8252, 654, 1826, 2971, 4085, 4329, 6170, 7098, 7707, 654, 1490, 2792, 3391, 5169, 5216, 6291, 7677, 518, 2002, 2669, 3478, 4912, 5514, 6889, 8261, 518, 1304, 2340, 4011, 5061, 5892, 6715, 8102, 518, 1596, 2918, 3478, 5138, 6137, 7152, 8102, 195, 1750, 2775, 3674, 4583, 5296, 6589, 7717, 654, 1345, 2316, 3364, 4297, 5838, 6338, 7538, 654, 1468, 2468, 4175, 4529, 5514, 6876, 7386, 1056, 1822, 2729, 3962, 4276, 5606, 6430, 8102, 488, 1756, 2941, 3391, 4862, 6110, 6840, 7260, 419, 1750, 3062, 3394, 4329, 5892, 6671, 7716, 419, 1750, 2806, 3595, 4398, 5705, 6996, 8080, 915, 1528, 3065, 3595, 4555, 6139, 6996, 7949, 419, 1622, 3117, 3595, 4398, 5705, 6840, 7677, 870, 1817, 2791, 3982, 4268, 6041, 6838, 8211, 249, 1817, 2436, 3403, 4773, 6166, 6964, 7250, 1077, 1609, 3025, 3720, 4258, 6209, 6554, 7973, 809, 1105, 2260, 3802, 4220, 6011, 7231, 8117, 673, 1489, 2863, 3421, 4218, 5642, 7231, 7487, 480, 1217, 3039, 3332, 4804, 6191, 7241, 7629, 930, 1455, 3029, 4173, 4305, 6216, 6921, 8187, 1052, 1539, 2300, 4149, 4850, 5869, 6780, 7637, 750, 1349, 3095, 3688, 5138, 6097, 6834, 7917, 684, 2068, 3135, 3914, 4918, 6175, 6979, 7906, 153, 1186, 2139, 3478, 4180, 6194, 7140, 8078, 397, 2035, 2398, 3533, 5150, 5836, 6648, 8009, 1052, 1424, 2835, 3390, 5151, 5228, 6889, 8141, 242, 1436, 2453, 3741, 4597, 5749, 7170, 7872, 113, 2065, 2299, 3874, 4594, 5569, 6358, 8157, 759, 1615, 2890, 3874, 4900, 5337, 6578, 8168, 1067, 1585, 2316, 3202, 5170, 5228, 7166, 8140, 508, 2036, 2316, 3988, 4691, 5843, 6550, 8094, 776, 1503, 2975, 3369, 4830, 5569, 6311, 8170, 603, 1407, 2754, 3869, 4284, 6030, 6500, 7365, 804, 1984, 3060, 3962, 4861, 5586, 6235, 8157, 488, 2017, 2746, 4068, 4713, 6129, 6979, 8237, 935, 2032, 3110, 4113, 4554, 5883, 6668, 7720, 935, 2032, 2473, 3645, 4583, 6087, 7077, 7706, 935, 1851, 2820, 3886, 4583, 6131, 6607, 8267, 405, 1648, 3007, 4166, 4287, 5911, 6709, 8209, 1102, 1752, 2383, 4056, 4586, 5320, 6734, 7894, 1033, 1164, 2152, 3961, 5070, 6181, 7059, 7379, 986, 2053, 2940, 3631, 4255, 5512, 6704, 7494, 986, 1808, 2661, 4007, 4755, 5814, 7030, 8234, 104, 1550, 2987, 4137, 4671, 5827, 7059, 8134, 487, 1935, 2436, 4085, 4215, 6034, 6732, 7641, 807, 1700, 3116, 3472, 5054, 6221, 6484, 8027, 839, 1669, 2817, 3964, 4995, 5827, 6985, 8178, 668, 1202, 2751, 3785, 4734, 6084, 6998, 7318, 487, 1660, 2359, 3773, 4492, 5341, 6536, 7869, 692, 1951, 2555, 3596, 4910, 6180, 6476, 8266, 391, 1286, 2534, 4151, 4387, 5565, 6348, 8046, 1090, 1369, 2582, 3455, 5088, 5300, 6482, 8248, 826, 1721, 2944, 4055, 5084, 5767, 6734, 7764, 104, 1858, 2783, 3616, 5061, 5749, 7158, 8117, 424, 1989, 2996, 4145, 5129, 5749, 6589, 7846, 914, 1847, 2838, 4145, 4630, 6123, 6979, 7485, 552, 1198, 3053, 3929, 4374, 5436, 7010, 7962, 818, 2068, 3007, 4114, 4912, 5219, 6988, 8147, 956, 1992, 2925, 3516, 4470, 5210, 6972, 7570, 585, 1910, 2971, 3376, 4586, 6123, 6563, 8236, 878, 1845, 2833, 4092, 5088, 5515, 7079, 8245, 617, 1406, 2730, 3581, 4344, 5379, 6749, 8069, 863, 1946, 3130, 3391, 4633, 5219, 7120, 7823, 319, 1499, 2868, 4146, 5127, 6135, 6443, 7587, 840, 1322, 2430, 3356, 4509, 6111, 6694, 7678, 840, 1531, 2476, 3902, 4649, 6002, 6650, 7910, 840, 1550, 2231, 3688, 4471, 5624, 6903, 7578, 887, 1227, 2482, 3560, 4567, 5749, 6286, 7954, 887, 1808, 3080, 3979, 4287, 5413, 7230, 7962, 850, 1633, 2520, 3251, 4282, 5341, 6630, 7947, 826, 1633, 2480, 3175, 4364, 5413, 6961, 7952, 1090, 1660, 3033, 3512, 4801, 5953, 6270, 8034, 424, 1363, 2944, 4085, 5183, 5968, 6891, 7917, 684, 2068, 2944, 3710, 4792, 5730, 6620, 7421, 571, 1587, 2943, 3866, 4589, 5834, 7084, 7876, 1057, 1601, 3005, 3162, 4843, 6208, 7109, 7476, 891, 1396, 2925, 3190, 4276, 5599, 7007, 8078, 1067, 1897, 2423, 3908, 4215, 5980, 6304, 8252, 778, 1770, 2254, 3962, 4950, 6181, 6860, 7889, 850, 1275, 2790, 3158, 4489, 5579, 6803, 8009, 993, 1337, 2572, 3882, 5144, 6119, 7057, 8250, 862, 1736, 3101, 3356, 4562, 5226, 7087, 7649, 1080, 1732, 2848, 3421, 4495, 6018, 7012, 7483, 668, 1277, 2625, 3943, 4776, 5548, 6400, 7966, 487, 1289, 2470, 4037, 4604, 5552, 6235, 8128, 545, 1363, 2661, 3218, 4831, 6128, 6456, 7652, 778, 1550, 2695, 3508, 4402, 5431, 6655, 7962, 850, 1182, 2135, 3298, 4439, 5549, 6740, 8069, 778, 1831, 2911, 4155, 4259, 5765, 6603, 7505, 641, 2095, 2429, 3910, 4966, 5694, 6824, 7821, 408, 1778, 2429, 3848, 4368, 5835, 6813, 7962, 1025, 1455, 2638, 3870, 4467, 5684, 7207, 7664, 779, 1992, 2369, 3885, 4993, 6163, 6677, 7811, 1056, 1369, 2716, 4166, 4622, 5883, 6734, 7799, 684, 1889, 2799, 4071, 4795, 5580, 7019, 7948, 120, 1164, 2767, 3963, 4626, 5899, 7229, 7980, 864, 1942, 2254, 4137, 4218, 5341, 6386, 7288, 165, 1397, 2135, 3169, 5067, 6119, 7033, 7442, 360, 1283, 2997, 3387, 5000, 6107, 6735, 8189, 840, 1283, 2845, 4057, 4365, 6024, 6497, 7954, 536, 1918, 2670, 3839, 4664, 5843, 6284, 7290, 113, 1348, 2346, 3968, 5030, 6034, 6948, 8041, 673, 1397, 2355, 3849, 4278, 5314, 6606, 7775, 880, 1494, 2294, 3394, 4440, 5697, 6683, 8062, 930, 1608, 3037, 3218, 5189, 6178, 6426, 8269, 840, 1550, 2625, 3384, 4635, 5499, 6442, 7971, 1062, 1932, 2601, 3631, 5101, 5512, 7244, 8190, 1090, 1821, 2387, 3358, 4780, 6147, 6991, 8139, 1056, 1540, 3026, 4151, 4780, 6063, 7207, 8260, 663, 1797, 3008, 4071, 4782, 6211, 6588, 7664, 424, 1932, 3109, 4135, 4589, 5219, 7090, 8076, 113, 1910, 2936, 3891, 5022, 5672, 6314, 7708, 487, 1686, 2188, 3869, 4258, 5762, 6820, 7415, 277, 2059, 2795, 3936, 4337, 5432, 6611, 7598, 137, 1407, 2207, 3740, 5006, 6118, 6883, 7535, 895, 1770, 2361, 3442, 5188, 5410, 6562, 8137, 405, 2069, 3008, 3982, 4885, 6063, 7207, 7838, 789, 2020, 2473, 4065, 5183, 5901, 6613, 7811, 617, 1525, 2139, 4094, 5143, 5824, 7095, 8077, 789, 1525, 2989, 3891, 5104, 6205, 6972, 7524, 256, 2030, 2356, 3361, 5148, 5438, 7019, 7402, 878, 2001, 2473, 3391, 4536, 6085, 7006, 7896, 518, 2030, 2991, 3952, 4775, 6147, 6840, 7563, 256, 2030, 3144, 3550, 4387, 5761, 7084, 7290, 901, 2073, 3147, 3827, 4881, 5438, 6726, 8252, 256, 1623, 2250, 3516, 4918, 5438, 6584, 8033, 756, 1141, 2469, 3440, 4344, 6182, 6671, 7717, 752, 2097, 3038, 3169, 4423, 6117, 7202, 7593, 492, 1212, 2891, 3537, 4565, 5228, 6663, 8244, 535, 1609, 2349, 3300, 4457, 6042, 6583, 7966, 895, 1975, 2142, 3434, 4440, 5725, 6761, 7815, 1067, 1337, 2142, 3216, 4461, 5466, 6426, 7574, 404, 1108, 2629, 3265, 4911, 5700, 6600, 7414, 113, 1119, 2615, 3517, 4739, 5557, 6520, 7528, 668, 1881, 2432, 3792, 4457, 5782, 6403, 7581, 692, 1828, 2874, 3265, 4920, 6124, 6480, 8228, 1084, 1828, 3145, 3413, 4804, 5985, 6251, 7676, 693, 1828, 2511, 3771, 4339, 5557, 6957, 7571, 888, 1828, 2154, 3413, 5109, 5871, 6805, 7394, 1084, 1828, 2929, 3741, 4461, 5449, 7063, 7844, 693, 1828, 2801, 3687, 4607, 5263, 6614, 7737, 1017, 1108, 2349, 3714, 4796, 5415, 6973, 7904, 730, 1489, 2848, 3375, 4736, 6002, 6637, 7966, 113, 1884, 2349, 3820, 4858, 5782, 6775, 8120, 339, 1884, 2349, 3481, 4258, 5729, 6530, 8039, 730, 2107, 2741, 3262, 5070, 5954, 6751, 7808, 1041, 2009, 2378, 3605, 4899, 6122, 6372, 8164, 840, 1510, 2751, 3790, 4919, 5732, 7004, 7405, 1084, 2036, 2438, 3751, 4573, 5906, 7108, 7898, 1062, 1932, 3103, 3735, 4350, 5569, 7043, 8254, 308, 1847, 2326, 3751, 4327, 5963, 7085, 7899, 935, 1963, 2834, 4145, 5159, 6129, 6584, 7437, 186, 2111, 3135, 3803, 4287, 5963, 7239, 7421, 935, 1620, 2834, 4011, 5038, 6175, 6786, 7949, 935, 2017, 2803, 3891, 5129, 5883, 7239, 7949, 555, 2111, 2806, 4018, 5038, 5705, 7201, 8179, 555, 1528, 2730, 3914, 4792, 6070, 6972, 7949, 859, 2111, 2164, 3566, 4529, 5901, 7003, 8066, 552, 1490, 3021, 4166, 5138, 5515, 7077, 7563, 859, 1468, 2340, 3550, 5138, 5385, 6752, 8126, 859, 1490, 2918, 3550, 4512, 6175, 7090, 7732, 105, 2106, 2487, 3857, 5127, 5493, 6338, 7643, 859, 2127, 2833, 4068, 4888, 6205, 6338, 8061, 859, 2111, 2858, 3550, 5138, 5246, 6752, 7723, 859, 1750, 2970, 3550, 4622, 5811, 6996, 7865, 4, 2 ]
[ 1, 30, 63, 11, 62, 5, 44, 54, 5, 16, 54, 30, 5, 64, 48, 5, 17, 64, 5, 5, 5, 76, 45, 52, 5, 77, 73, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4624, 6186, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6081, 7226, 7766, 818, 1622, 2957, 3893, 4980, 5635, 7239, 7723, 153, 2111, 3075, 3975, 5060, 5219, 6709, 8179, 874, 1373, 2904, 3358, 4651, 6168, 7140, 8240, 691, 1889, 3026, 3798, 4392, 5546, 6632, 8150, 993, 1758, 3034, 4094, 5020, 5479, 7120, 8236, 993, 1291, 2376, 3939, 4741, 6078, 7040, 7555, 449, 1655, 2689, 3695, 4413, 6101, 6878, 8063, 584, 1151, 2565, 3910, 4507, 5541, 6797, 7740, 1030, 1339, 3023, 3799, 4612, 5443, 7199, 8058, 880, 1454, 2822, 3770, 4778, 5595, 6306, 7649, 778, 1975, 2275, 3366, 4305, 5479, 6284, 7981, 508, 1220, 2805, 3287, 4547, 5311, 7032, 7607, 571, 1455, 2860, 3453, 4801, 5327, 6408, 8151, 984, 1675, 2695, 4164, 4287, 5994, 6996, 7768, 450, 2073, 2192, 4059, 4691, 5661, 6630, 8260, 984, 2073, 2363, 3516, 5038, 5534, 7168, 7290, 132, 1218, 2984, 3226, 5038, 5834, 7168, 7631, 617, 2073, 2709, 3352, 5096, 5650, 6852, 7949, 536, 1510, 2629, 3314, 4945, 6168, 6628, 7826, 511, 1842, 2987, 3970, 4468, 5664, 6661, 7533, 511, 1652, 2222, 3601, 4447, 5255, 6721, 7694, 511, 1652, 2311, 3300, 4538, 5734, 6566, 7643, 992, 1652, 3080, 3727, 4939, 5351, 6813, 7643, 1003, 1244, 2897, 3533, 5151, 5966, 7173, 7967, 1067, 1600, 3097, 4155, 4458, 6010, 6890, 8031, 692, 1886, 2420, 3578, 4780, 5547, 7103, 8229, 862, 1797, 2653, 3930, 4376, 6194, 7096, 7902, 862, 2024, 3092, 4034, 5135, 5584, 7246, 7964, 864, 1695, 2708, 4022, 4761, 5698, 6283, 7363, 620, 1566, 2727, 3277, 4921, 5521, 6393, 8129, 938, 2000, 2987, 4155, 4642, 6096, 6918, 7567, 970, 1302, 2175, 3776, 4602, 5433, 6337, 8041, 1081, 1778, 2429, 3752, 4310, 5740, 7060, 7821, 304, 2009, 2154, 3961, 4912, 5527, 6972, 7631, 899, 1485, 2587, 4026, 5159, 5883, 7120, 7563, 127, 1971, 2473, 3555, 4589, 5844, 6898, 7487, 127, 1992, 3028, 3391, 5058, 5514, 7103, 7477, 518, 1756, 3064, 3518, 5134, 6106, 6704, 8092, 518, 1570, 2860, 4111, 5135, 5580, 6338, 8260, 518, 2111, 3048, 3550, 4622, 6000, 7168, 8179, 518, 2111, 2904, 3891, 4755, 6171, 7006, 7509, 256, 2111, 2251, 3364, 4870, 5677, 7230, 7557, 663, 1206, 2598, 3982, 5083, 5413, 6338, 7490, 722, 1411, 2594, 4026, 5073, 5953, 6581, 7717, 807, 1164, 2359, 3695, 4715, 6204, 6921, 8190, 1023, 1550, 2543, 3770, 4519, 5875, 7072, 7835, 314, 1550, 2242, 3323, 5001, 5793, 6343, 8077, 807, 1708, 2426, 4082, 5040, 5787, 6820, 8017, 465, 1782, 2346, 3689, 4364, 5727, 6547, 8207, 487, 1561, 2250, 3869, 5135, 5770, 6998, 7442, 487, 1561, 2474, 3764, 4996, 6154, 7051, 7987, 487, 2114, 2348, 3695, 4427, 5443, 6763, 7438, 495, 1832, 2346, 3613, 4920, 6007, 6387, 7673, 992, 1732, 2732, 3939, 4330, 5350, 6670, 7873, 938, 1570, 2751, 3356, 4435, 5350, 6726, 8006, 1024, 1570, 2520, 3394, 4555, 5500, 6965, 7261, 970, 1570, 2436, 3581, 4792, 5347, 7100, 7838, 899, 1171, 2154, 3485, 5115, 5981, 7125, 7279, 225, 1396, 2976, 3788, 5150, 5899, 6713, 7588, 228, 1525, 2870, 3363, 4808, 5350, 6627, 7528, 317, 1596, 2736, 3900, 4916, 5658, 6776, 7878, 183, 1547, 3026, 3994, 4870, 6103, 6671, 8132, 757, 1644, 2858, 3695, 4214, 6009, 7147, 7880, 105, 1545, 2564, 3566, 5088, 6205, 6291, 8206, 484, 1175, 3021, 3407, 5088, 5586, 6668, 8179, 956, 1705, 3006, 4006, 4287, 5705, 7100, 7918, 304, 1668, 3108, 4039, 4822, 5612, 7230, 7664, 685, 1178, 2128, 4168, 4537, 5471, 6260, 7875, 266, 2009, 2743, 3986, 5005, 6010, 6458, 8074, 737, 1531, 3018, 3232, 4415, 5481, 6434, 8128, 557, 1299, 2429, 3286, 4298, 5648, 6280, 7638, 462, 1283, 2161, 3745, 4432, 5886, 6481, 7510, 1004, 1397, 2490, 3720, 4723, 5353, 6315, 7430, 737, 1915, 2529, 3708, 4386, 5568, 6449, 8012, 363, 1695, 2490, 3182, 4321, 5224, 6916, 7880, 1101, 2058, 2872, 3316, 4321, 5601, 6422, 7757, 1025, 1695, 2817, 4005, 4852, 5331, 6626, 8049, 103, 1682, 2858, 3785, 4953, 5978, 6752, 7906, 448, 1834, 2250, 3720, 4756, 5981, 6579, 7881, 487, 1562, 2548, 3358, 4804, 5216, 7087, 7530, 363, 1586, 2655, 3540, 4920, 5601, 6334, 7704, 1009, 1586, 2655, 3992, 4687, 5584, 7182, 7495, 234, 1323, 2987, 3323, 5171, 5584, 7241, 8151, 862, 1880, 2658, 3913, 4934, 5975, 6440, 7881, 1080, 1309, 2564, 4142, 4729, 5678, 6883, 8241, 668, 1435, 2281, 3775, 5176, 5640, 6883, 7616, 1088, 1267, 2937, 3410, 5020, 5863, 6811, 7473, 970, 1399, 2134, 3918, 4351, 5567, 6333, 7631, 401, 1280, 2959, 3669, 4713, 6116, 6569, 7831, 804, 1175, 2985, 4085, 4297, 5883, 7095, 7494, 186, 1467, 2775, 4093, 5139, 6211, 6774, 8237, 984, 2024, 2991, 4108, 5166, 5832, 6588, 7421, 935, 1992, 3006, 3866, 5058, 5219, 6515, 8260, 186, 1856, 2991, 3710, 5104, 5219, 7006, 7806, 186, 2017, 2164, 3893, 5165, 5630, 7218, 7723, 859, 1847, 2833, 3891, 4287, 5811, 7120, 8185, 555, 1648, 2775, 4171, 5166, 5515, 7239, 7831, 555, 2111, 2858, 3827, 4630, 5219, 6752, 8185, 555, 2111, 3021, 3391, 4512, 5413, 7201, 8185, 555, 1528, 3021, 3391, 4782, 5550, 7201, 8179, 555, 1648, 3021, 3391, 4870, 5550, 7077, 8237, 859, 1468, 2775, 4171, 4890, 6103, 7239, 7732, 555, 1586, 2356, 3183, 5159, 5493, 7069, 8076, 859, 1468, 2833, 4166, 4888, 6163, 7152, 8126, 555, 2111, 2858, 4166, 5079, 5635, 6515, 7831, 859, 1468, 2833, 4166, 4681, 5550, 7207, 8076, 859, 1468, 2833, 4166, 4681, 5550, 7090, 7706, 555, 1876, 2858, 3827, 4870, 5219, 7090, 8237, 555, 2111, 2858, 4006, 4681, 5901, 7077, 7664, 4, 2 ]
[ 1, 16, 54, 30, 5, 76, 33, 54, 5, 31, 39, 5, 43, 14, 30, 5, 30, 45, 52, 16, 50, 16, 54, 66, 52, 47, 5, 51, 16, 54, 64, 45, 30, 35, 30, 5, 31, 33, 53, 5, 20, 52, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3893, 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, 2017, 3065, 3893, 4798, 5635, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 915, 1528, 3065, 4145, 4870, 6139, 6996, 7641, 475, 1684, 2941, 4145, 4681, 6129, 7006, 7887, 223, 1397, 2669, 3669, 5139, 5438, 7184, 7716, 1066, 1421, 2750, 3568, 4800, 5216, 6442, 7419, 970, 1510, 2313, 3823, 4716, 5869, 6976, 7291, 663, 1463, 2129, 3929, 5088, 6000, 6901, 7277, 424, 1747, 3098, 3917, 4451, 5899, 7207, 7918, 1025, 1399, 2222, 3885, 5104, 5641, 6566, 8066, 424, 1275, 2783, 3307, 4318, 6120, 6709, 7664, 850, 1676, 2480, 3773, 4717, 6131, 6265, 7676, 610, 1577, 2515, 3832, 5063, 5868, 6377, 8137, 536, 1810, 2209, 3414, 4308, 5942, 7086, 8210, 850, 1867, 2506, 4167, 4413, 5611, 7222, 8264, 774, 1125, 2173, 3986, 4799, 5918, 6244, 7383, 1034, 1828, 2491, 3714, 5111, 5799, 6944, 7987, 493, 1828, 2187, 3895, 5031, 5745, 6521, 8143, 902, 1137, 2888, 4015, 4875, 6125, 6700, 7736, 211, 1146, 2293, 3732, 4776, 5933, 7229, 7461, 778, 1255, 2213, 3728, 5072, 5899, 7207, 8231, 104, 1717, 2515, 3471, 4859, 5869, 6376, 7607, 1025, 1797, 2163, 3430, 4458, 5616, 6226, 7834, 778, 1797, 2429, 3237, 4374, 5976, 6335, 7542, 462, 1557, 3145, 3418, 4541, 6034, 6680, 7537, 480, 1283, 2580, 3370, 4636, 5317, 6929, 7772, 631, 1695, 2244, 4010, 4431, 5443, 6337, 7537, 221, 1397, 2265, 4149, 5045, 6101, 6444, 7861, 491, 1621, 2610, 3714, 5142, 5934, 6401, 7997, 1040, 1112, 2751, 3337, 4884, 5273, 6603, 8132, 217, 1369, 2593, 3307, 4439, 5403, 7019, 7623, 410, 1663, 3029, 3337, 4183, 5750, 7143, 7466, 572, 1454, 2579, 4158, 4995, 5781, 6603, 7827, 1049, 1518, 2294, 4079, 4949, 6007, 6552, 8086, 113, 1684, 2245, 3181, 4620, 5474, 6632, 7839, 339, 1971, 3116, 3307, 5096, 5962, 6741, 7415, 793, 1951, 2810, 3762, 4539, 5847, 6255, 7693, 992, 1494, 2653, 3543, 5097, 5370, 6884, 7820, 1025, 1732, 2312, 3734, 5118, 5706, 6660, 7262, 512, 1827, 2729, 3962, 4592, 5687, 7129, 7570, 308, 1212, 2326, 3955, 4501, 5439, 7201, 7716, 779, 1620, 3007, 3918, 4551, 5661, 7207, 7631, 709, 1827, 2534, 3361, 4985, 5911, 7149, 8066, 684, 2046, 2924, 4152, 4630, 5340, 7077, 8076, 390, 1705, 2291, 3803, 4551, 6014, 6972, 8195, 308, 1238, 2783, 3516, 4589, 6085, 6972, 7949, 1037, 1534, 3043, 4135, 5159, 6014, 7132, 7557, 308, 1218, 2582, 3886, 4583, 6103, 7010, 8260, 541, 1963, 2751, 3602, 4901, 5474, 6909, 7607, 881, 1164, 2486, 3964, 4995, 5320, 6443, 7753, 994, 1388, 2751, 3385, 4701, 5960, 7167, 8060, 137, 1636, 2594, 4045, 4448, 5370, 6838, 7864, 1019, 1472, 2474, 3602, 4459, 5778, 6293, 7858, 994, 1826, 3029, 3869, 4819, 6078, 7158, 7888, 664, 1440, 2869, 3936, 4185, 5251, 6335, 8190, 137, 2050, 2497, 3536, 4539, 5938, 7026, 8238, 271, 1912, 3040, 3451, 4609, 5907, 7240, 8117, 826, 1261, 2846, 3421, 4195, 5615, 6648, 8075, 404, 1299, 2173, 3934, 4308, 6002, 7230, 8056, 104, 1975, 2832, 3380, 4887, 5454, 6828, 7833, 993, 1617, 2867, 4038, 4604, 5738, 6570, 7602, 668, 1472, 2348, 3611, 4316, 5691, 6903, 8139, 862, 1397, 2156, 3446, 4267, 5400, 6815, 7975, 672, 1286, 2728, 4037, 5084, 5490, 6458, 7313, 722, 1639, 2717, 3241, 4849, 6135, 6832, 7534, 356, 1919, 2832, 3904, 5110, 5481, 6265, 7778, 288, 1623, 2924, 3566, 4604, 6103, 7188, 7568, 757, 1873, 2212, 3850, 4437, 5824, 6426, 7920, 225, 1461, 2944, 3916, 4762, 5933, 7157, 7748, 715, 1623, 2542, 3424, 4458, 5745, 6607, 7740, 1020, 1919, 2401, 3615, 4996, 6014, 6458, 8117, 952, 2117, 2687, 3446, 4804, 6181, 6863, 8262, 113, 1553, 2656, 3751, 4604, 5771, 6410, 7898, 535, 1255, 3029, 3351, 4676, 5212, 6536, 7995, 535, 1255, 3029, 3755, 4644, 6117, 6686, 7547, 952, 1881, 2348, 3517, 5127, 5366, 7229, 7899, 304, 1978, 2895, 3521, 4423, 5614, 6736, 7848, 304, 1721, 2924, 3873, 5106, 6195, 7149, 8107, 304, 2079, 3095, 3226, 4573, 6103, 6774, 7949, 804, 2046, 2946, 3488, 5183, 5630, 6771, 7528, 1097, 1705, 2781, 4113, 4583, 6131, 7120, 7421, 1056, 2084, 2440, 3277, 4287, 5548, 6979, 7965, 475, 2000, 3043, 4145, 4782, 5219, 6668, 7715, 288, 1933, 2340, 3225, 4993, 5630, 6723, 7992, 568, 1991, 2380, 3994, 5091, 6208, 6895, 7515, 401, 1400, 2970, 3880, 5139, 6058, 6749, 8085, 150, 1499, 2248, 3486, 4215, 5491, 7099, 7487, 271, 1503, 2842, 4055, 4983, 6024, 6847, 8117, 739, 1346, 2561, 3345, 4776, 5339, 6404, 7490, 900, 1266, 3097, 3238, 4542, 5557, 6627, 7892, 363, 1695, 2439, 4015, 4526, 6119, 6813, 8149, 884, 1695, 3037, 3329, 4642, 5344, 7140, 7532, 807, 1280, 3116, 3908, 4399, 5925, 6612, 7885, 487, 1302, 2830, 4162, 5043, 6135, 7078, 7261, 103, 1777, 2387, 3975, 4881, 5870, 6448, 7381, 512, 1620, 2803, 3873, 4510, 6028, 6919, 7834, 510, 1998, 3021, 4018, 4822, 5705, 7207, 8260, 859, 2000, 2746, 3226, 4890, 6211, 7100, 7887, 440, 2097, 3021, 4095, 4374, 6048, 6281, 8164, 165, 1461, 3010, 4045, 5183, 5951, 6876, 7458, 512, 1945, 2516, 4124, 4199, 5752, 6280, 7992, 223, 1175, 2960, 4145, 4489, 6007, 7119, 8154, 1023, 1424, 2750, 3565, 5198, 6022, 6449, 7546, 314, 1286, 2271, 3217, 4308, 5970, 7026, 7740, 335, 1777, 2313, 3771, 4529, 5976, 6911, 7303, 650, 1591, 2279, 3956, 4266, 5978, 6419, 7574, 1025, 1773, 3145, 3771, 4444, 5413, 7160, 7973, 955, 1708, 2440, 4030, 5083, 6123, 6998, 7421, 308, 1856, 3008, 4096, 4877, 5825, 7098, 7421, 1014, 2034, 2991, 3248, 4589, 5419, 6765, 7538, 127, 2002, 2803, 3470, 5080, 5590, 7160, 8130, 654, 2106, 3139, 3891, 4398, 6149, 7056, 7485, 654, 1286, 2469, 4083, 4398, 5515, 7167, 8073, 225, 1286, 2424, 3227, 5125, 5713, 7132, 8262, 757, 1332, 2282, 3955, 4890, 5778, 6412, 8036, 552, 1804, 2729, 3292, 4512, 6211, 6980, 7563, 1033, 1620, 2271, 3975, 5085, 5705, 7162, 7677, 884, 2055, 2327, 3323, 4887, 5490, 6824, 7691, 936, 1349, 2346, 3623, 4834, 5828, 7069, 7828, 936, 1557, 2725, 3962, 4539, 5884, 6478, 7888, 271, 1533, 2725, 3582, 4945, 5893, 6995, 7930, 610, 1826, 2492, 4067, 4999, 5325, 6340, 7519, 1057, 1826, 2688, 3390, 4321, 5362, 6974, 7279, 902, 2036, 3049, 3543, 4288, 5631, 6224, 7931, 462, 1557, 2330, 3845, 4321, 5804, 7009, 7848, 1101, 1820, 2724, 3446, 4588, 5660, 6997, 7383, 363, 1812, 2343, 4137, 4627, 5993, 6681, 7873, 504, 1368, 2225, 3307, 4419, 6118, 6461, 8240, 288, 1966, 2163, 3848, 4859, 5901, 6901, 7948, 308, 1915, 2754, 3932, 4822, 5565, 6265, 7919, 955, 1915, 2975, 3472, 5058, 5890, 6668, 8130, 955, 1915, 2996, 3975, 4551, 5219, 6996, 7876, 955, 2000, 2340, 3516, 4691, 5219, 7217, 7677, 942, 1721, 2163, 3376, 4752, 5344, 6771, 7768, 884, 1356, 3091, 3273, 4542, 5752, 6522, 8140, 728, 2061, 2265, 4128, 5075, 5742, 6919, 7797, 360, 1363, 3040, 3520, 4901, 5205, 7185, 7799, 547, 1302, 3103, 3425, 4492, 6174, 6373, 8056, 942, 1972, 2661, 3425, 5181, 5410, 7211, 8141, 223, 1141, 2519, 3910, 5072, 6160, 7086, 7981, 767, 1562, 2250, 3575, 5152, 5979, 7129, 7508, 731, 2073, 2945, 3732, 4731, 6131, 6517, 8054, 223, 1167, 2440, 3901, 4670, 5903, 6681, 7312, 752, 2001, 2256, 4087, 5109, 5572, 7047, 7898, 840, 1270, 2647, 3464, 4582, 5437, 6351, 7476, 1067, 1670, 2819, 3495, 4865, 5796, 7155, 8269, 271, 2120, 2749, 3859, 4752, 5567, 6426, 8024, 271, 2050, 3030, 3347, 4273, 5598, 6941, 7598, 895, 1166, 2415, 3498, 4273, 5404, 6269, 7853, 895, 1757, 2225, 3567, 5177, 5614, 6470, 7408, 895, 1757, 2173, 3707, 5108, 5360, 6458, 8146, 895, 1478, 2605, 4128, 5195, 5722, 6592, 7384, 876, 1897, 2956, 4128, 4208, 6074, 6243, 7704, 1008, 1104, 2597, 3205, 4910, 5491, 6891, 7808, 1008, 1270, 3034, 3205, 4910, 5794, 6795, 7676, 1008, 1728, 3112, 4128, 4674, 5838, 6411, 7628, 83, 1873, 2173, 3953, 4880, 6016, 7035, 7918, 344, 2009, 2325, 3880, 4321, 6088, 6521, 7367, 277, 1679, 2693, 3979, 4321, 5785, 6533, 7426, 436, 1440, 2241, 3252, 4321, 5722, 6797, 7828, 876, 1469, 2974, 4126, 4321, 5710, 6775, 7394, 876, 1469, 2974, 4091, 4911, 6190, 6789, 8249, 876, 1630, 2173, 3567, 4321, 5966, 6733, 8072, 1001, 1630, 2849, 3281, 4595, 5506, 7073, 8018, 1025, 1955, 2508, 3496, 4274, 5741, 6787, 7836, 1016, 2079, 2534, 3836, 5068, 5794, 7025, 8164, 390, 2088, 3006, 3334, 4487, 5630, 6515, 7768, 1097, 2073, 3110, 4018, 4861, 5883, 7023, 8237, 935, 2000, 3128, 4041, 4287, 5694, 7218, 8267, 1099, 2000, 3095, 3886, 5080, 5832, 6588, 8076, 186, 2000, 2167, 3891, 4704, 6103, 6972, 7723, 552, 2065, 2970, 4166, 4888, 5550, 7100, 7806, 484, 1648, 2970, 3891, 4888, 6081, 7218, 8261, 4, 2 ]
[ 1, 75, 33, 63, 47, 16, 64, 5, 77, 72, 66, 33, 54, 64, 16, 52, 78, 5, 17, 75, 5, 43, 17, 78, 28, 16, 54, 30, 63, 47, 5, 5, 3, 390, 1660, 2678, 3819, 4229, 5549, 6764, 8016, 779, 1953, 2473, 3776, 4912, 5832, 7207, 7476, 952, 1452, 2868, 4026, 4468, 5314, 7154, 7592, 886, 1832, 2788, 3605, 5026, 5285, 6929, 8000, 1019, 1494, 2987, 3392, 4344, 5974, 6443, 7878, 672, 1283, 2803, 3751, 4636, 5889, 6224, 7983, 994, 1494, 2379, 3315, 5031, 5578, 7169, 7932, 994, 1707, 2260, 4107, 4367, 6034, 6465, 8203, 994, 1808, 2260, 3751, 4539, 5298, 6729, 7693, 994, 1808, 2260, 3315, 5103, 5800, 6731, 8200, 737, 2070, 2748, 3751, 4665, 6135, 6518, 8007, 1019, 1808, 2506, 3845, 4578, 5852, 6927, 7451, 1019, 1990, 2665, 3623, 5062, 5500, 6893, 8178, 1019, 1644, 2506, 3568, 4723, 6194, 6426, 7857, 992, 2109, 2218, 4021, 4776, 5325, 7021, 8048, 1057, 1730, 2378, 4067, 5065, 5725, 6348, 8061, 840, 1886, 2132, 3745, 5134, 5655, 6585, 7894, 404, 2036, 2142, 3769, 4562, 5589, 6932, 7633, 536, 1326, 2400, 3368, 5050, 6066, 6800, 8149, 536, 1806, 2400, 3880, 4921, 6135, 6531, 7793, 807, 1421, 2506, 3437, 4525, 5512, 6615, 7934, 807, 1773, 3052, 3437, 4565, 6135, 7053, 8100, 807, 1296, 3052, 3502, 4804, 6135, 7157, 7929, 646, 1806, 2470, 3643, 4701, 6135, 7149, 7549, 487, 1561, 2893, 3762, 4604, 6135, 6874, 8132, 487, 2052, 2258, 3576, 4934, 5441, 6672, 7379, 1038, 1397, 2759, 3885, 4364, 6067, 7068, 7710, 137, 1771, 2156, 3261, 5109, 6147, 6925, 7790, 692, 1826, 3106, 3824, 4288, 5810, 7135, 7699, 715, 1489, 2238, 3233, 5079, 5790, 6312, 8079, 225, 1773, 2335, 3749, 4267, 5532, 7247, 7293, 654, 1550, 2904, 4094, 4777, 5223, 6849, 8248, 518, 2126, 2221, 3885, 4926, 5998, 6296, 8237, 568, 1756, 2415, 4047, 4228, 5998, 7041, 7821, 183, 1684, 2473, 3595, 5079, 5761, 6871, 7846, 617, 1550, 3062, 3955, 5061, 6110, 6884, 7563, 859, 1876, 2554, 4068, 5120, 6149, 7129, 8239, 512, 1876, 3006, 3918, 5139, 5216, 6889, 7557, 731, 1206, 2426, 4064, 4665, 6024, 6963, 7474, 271, 2058, 2543, 3986, 4720, 5366, 7103, 7321, 936, 2058, 2610, 3472, 4694, 5472, 6924, 7959, 271, 2079, 2565, 3788, 4269, 6135, 6592, 8128, 1025, 1171, 2565, 4143, 4224, 5884, 6894, 7277, 1025, 1682, 2554, 3832, 5122, 5504, 6962, 8241, 1090, 2002, 2315, 3936, 4954, 5422, 6649, 8137, 956, 1676, 2167, 3602, 4872, 5210, 6752, 8080, 488, 1945, 3110, 4170, 4822, 5832, 7084, 7782, 818, 1675, 2880, 4068, 4551, 5705, 6979, 8083, 510, 1508, 3135, 3886, 4870, 6129, 7120, 7723, 510, 1998, 3135, 3516, 4980, 5767, 6786, 7723, 1020, 1286, 2854, 3550, 4184, 6141, 6310, 7312, 699, 2108, 3033, 3420, 4671, 5289, 7115, 7638, 183, 1684, 3000, 3994, 5097, 6149, 6605, 7816, 955, 1403, 2944, 4153, 4423, 5883, 6588, 7298, 492, 1112, 2596, 3778, 5016, 5568, 6325, 7303, 326, 1728, 2332, 4072, 4461, 5776, 7065, 7983, 247, 1636, 2689, 3566, 4310, 5574, 6828, 7661, 936, 1938, 2261, 3751, 5094, 5557, 7140, 8230, 936, 1773, 2953, 4030, 4310, 5863, 6965, 7473, 1025, 1399, 3003, 3495, 4887, 5963, 6377, 8227, 1025, 1952, 2678, 4027, 4991, 5565, 6850, 7811, 1025, 1238, 2244, 3771, 5153, 5765, 7158, 7821, 610, 1238, 2678, 3390, 4575, 5320, 7047, 7878, 610, 2048, 3033, 3932, 4533, 5687, 6677, 7846, 1056, 1581, 2652, 3955, 4387, 5216, 6979, 7720, 543, 1945, 2315, 3391, 5072, 5610, 6614, 7260, 654, 1695, 3091, 4011, 5085, 5296, 6291, 8237, 654, 1635, 2885, 3350, 5157, 5883, 6333, 7355, 228, 1620, 2355, 3798, 5135, 5413, 6889, 7494, 518, 1756, 2980, 3348, 4307, 5578, 7024, 7865, 518, 1864, 2560, 3552, 4522, 6123, 6486, 7887, 183, 1386, 2221, 4068, 4762, 5556, 7010, 7867, 356, 2065, 2309, 4018, 4654, 6137, 6988, 8001, 391, 1509, 2794, 3981, 4861, 5514, 6823, 8134, 784, 1199, 2313, 3475, 5160, 6120, 7043, 8026, 504, 2050, 2939, 3438, 4930, 5865, 6283, 8021, 643, 2050, 3050, 4165, 5042, 5708, 7221, 7916, 504, 1305, 2450, 3263, 4887, 5357, 7060, 7521, 643, 1682, 2707, 3600, 5036, 5221, 6335, 7253, 504, 1407, 2393, 3876, 4595, 5685, 6646, 7400, 643, 1833, 2803, 3167, 4887, 5862, 6772, 7405, 1081, 1630, 2313, 3894, 4310, 5935, 7140, 7502, 1025, 1248, 2540, 3999, 4941, 5700, 6775, 7421, 440, 1554, 2783, 3793, 4288, 5896, 6449, 7957, 240, 1494, 2497, 3983, 4881, 5873, 6768, 7248, 240, 1116, 2554, 3649, 4764, 5873, 7103, 7816, 518, 1519, 2654, 3865, 4374, 5565, 6730, 7930, 952, 1596, 3026, 3599, 4734, 5863, 6348, 8253, 1029, 1773, 2561, 4128, 4635, 5239, 6510, 8248, 386, 1509, 3033, 3526, 4337, 5954, 7139, 7393, 504, 1531, 2384, 3201, 4725, 5250, 6748, 8239, 1025, 1865, 3112, 4150, 4942, 5631, 7230, 8132, 390, 2001, 3008, 3480, 4792, 5523, 6551, 7586, 899, 1675, 3064, 4174, 4398, 5968, 7100, 8195, 757, 1649, 3062, 4068, 4995, 5534, 6612, 8227, 1102, 1468, 2652, 3603, 4900, 5565, 6791, 7717, 373, 1660, 2975, 3398, 5150, 6101, 7114, 8248, 1071, 1463, 2352, 4081, 5153, 5678, 7010, 7439, 1071, 1924, 3150, 4152, 5078, 6204, 6675, 7527, 840, 1496, 2314, 3721, 4455, 5893, 6616, 8253, 840, 1496, 2163, 3187, 4953, 5606, 6683, 7678, 840, 2055, 2455, 3187, 4766, 5298, 6334, 7759, 1067, 2059, 2261, 3434, 4434, 5419, 7035, 7846, 884, 1507, 2175, 3486, 5001, 5325, 6367, 8212, 1025, 1828, 2503, 3568, 4282, 5694, 6530, 7720, 576, 1463, 2492, 3205, 4364, 6180, 6962, 7965, 228, 1675, 3091, 3771, 4337, 5933, 6909, 7367, 756, 1923, 2801, 3949, 4412, 5259, 6603, 7957, 1099, 1876, 2250, 3951, 4813, 6033, 7132, 7706, 804, 2063, 2729, 3917, 4611, 5963, 6551, 7965, 512, 1620, 2960, 3540, 5058, 5661, 6752, 7723, 308, 1791, 2838, 3348, 4877, 6195, 6938, 7677, 211, 1881, 2254, 3226, 5038, 5514, 7220, 7723, 211, 1620, 2381, 4097, 5104, 5534, 7019, 7949, 725, 1774, 2678, 4117, 4998, 6141, 7165, 8252, 895, 1510, 2579, 3452, 5065, 6206, 6674, 7880, 299, 1510, 2225, 3392, 4364, 6135, 6674, 7795, 887, 1252, 3106, 4137, 4225, 5579, 6890, 7811, 1025, 1797, 2994, 3908, 4586, 5993, 6809, 7641, 826, 1676, 2750, 4030, 4672, 6070, 6810, 8143, 778, 1721, 2750, 3962, 4191, 6002, 6818, 8188, 887, 1860, 2750, 3962, 4467, 5586, 7019, 7962, 104, 1773, 2312, 4145, 4287, 6070, 6736, 8069, 1025, 1182, 3033, 4041, 5145, 5539, 6710, 7887, 610, 1238, 3033, 3229, 4359, 6103, 7090, 7367, 1056, 2107, 2436, 3710, 4429, 5616, 7019, 7602, 617, 1796, 2629, 4145, 4792, 5899, 7095, 7877, 421, 2079, 2656, 3749, 4352, 6201, 6715, 7288, 495, 1141, 2555, 3511, 4423, 5890, 6623, 7421, 1057, 1463, 2462, 4101, 4224, 5694, 7223, 7855, 1084, 1972, 3033, 3741, 4527, 5536, 6611, 7404, 113, 1415, 2656, 4094, 4951, 5279, 6928, 7800, 1057, 1640, 3026, 4070, 4943, 5474, 6762, 7844, 895, 1244, 2848, 3324, 4723, 5829, 6934, 7920, 1019, 2107, 2693, 3687, 4636, 5490, 6426, 8189, 884, 1640, 3032, 3605, 4776, 5325, 6847, 7896, 137, 1732, 2534, 3605, 4321, 5621, 7150, 7658, 876, 1553, 2566, 3741, 4218, 5438, 6716, 8149, 1019, 1388, 2751, 4073, 4878, 5301, 6944, 8110, 1074, 1808, 2818, 3605, 4591, 5283, 6883, 7531, 880, 1942, 2850, 3751, 4706, 5637, 6663, 7337, 487, 2045, 2258, 3751, 4604, 5208, 7175, 8133, 103, 1581, 2494, 3792, 4350, 5775, 6708, 8140, 1090, 1692, 2315, 3371, 5138, 5810, 6675, 7545, 804, 2125, 2989, 3363, 5053, 5280, 6671, 8061, 859, 1218, 2432, 4085, 5159, 5937, 7207, 7627, 186, 1147, 2895, 4018, 4980, 5210, 7207, 8076, 818, 1648, 3135, 3825, 4681, 5901, 7084, 8083, 818, 1648, 2914, 3827, 4624, 6139, 6589, 7766, 555, 2017, 2970, 3893, 4798, 5767, 7226, 8223, 555, 1304, 2970, 3914, 4287, 6149, 7077, 8267, 617, 1750, 3147, 3931, 5159, 5385, 7218, 7563, 105, 2106, 2941, 3391, 4870, 6149, 6612, 7715, 105, 2106, 2833, 4125, 4512, 5514, 6988, 8061, 617, 1289, 2833, 3564, 4555, 5385, 6612, 8080, 617, 1289, 2833, 3891, 5079, 5241, 6740, 7641, 859, 1304, 2833, 3425, 4555, 5241, 6584, 7770, 617, 1468, 2833, 3873, 5159, 5624, 6840, 8126, 617, 1750, 2775, 3391, 4583, 5296, 6589, 7677, 617, 1684, 2554, 3856, 4555, 5548, 6605, 7865, 617, 1750, 3143, 3391, 4762, 5385, 6810, 8261, 617, 1468, 3143, 4096, 5060, 6081, 6612, 8061, 617, 1695, 2959, 4092, 4681, 5981, 6612, 7723, 617, 1289, 2833, 4124, 4267, 5515, 6515, 8033, 617, 1974, 2833, 3552, 4681, 6175, 6808, 8164, 617, 1750, 2970, 3857, 5160, 5586, 6584, 7838, 4, 2 ]
[ 1, 31, 14, 66, 5, 31, 33, 63, 5, 76, 11, 78, 5, 54, 57, 5, 51, 76, 33, 64, 29, 16, 54, 5, 17, 75, 5, 16, 5, 51, 11, 54, 41, 52, 44, 51, 66, 5, 14, 66, 5, 20, 52, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 818, 1844, 2164, 3367, 4798, 5635, 7006, 7766, 789, 1490, 2941, 3914, 4870, 5413, 6809, 8261, 440, 2008, 2953, 3891, 4813, 5823, 7163, 8253, 769, 1426, 2151, 3788, 4602, 6003, 7126, 7896, 893, 2092, 2953, 3370, 5138, 5265, 6864, 8046, 708, 1368, 2316, 3819, 4826, 5276, 7055, 8046, 776, 1878, 3130, 3595, 4927, 5923, 6744, 7991, 488, 1945, 2960, 3866, 4366, 5901, 7084, 8267, 555, 1963, 3110, 4114, 5129, 5219, 6604, 8260, 878, 2098, 2542, 3680, 4859, 5594, 7114, 7555, 901, 1176, 2924, 3239, 5135, 5767, 6966, 7809, 715, 1509, 2629, 4146, 4724, 6180, 6986, 7487, 216, 2016, 2940, 3766, 5020, 5950, 6313, 8028, 685, 2095, 2163, 4073, 4844, 5715, 6840, 7602, 643, 1982, 2659, 3251, 4707, 5348, 7069, 7260, 1081, 2033, 2860, 3376, 5012, 5966, 7085, 7480, 1081, 2048, 2730, 3487, 4374, 6070, 6633, 7887, 610, 1716, 3135, 4113, 4621, 6051, 6903, 8252, 211, 1930, 2503, 3229, 4374, 6131, 6331, 8016, 1081, 1682, 2154, 3430, 4555, 5765, 7156, 7270, 150, 1596, 2678, 3233, 4859, 5508, 7017, 7748, 504, 2011, 2348, 3789, 5092, 5444, 7106, 7701, 610, 2048, 2188, 3880, 4446, 5678, 6830, 8158, 225, 1171, 2820, 4026, 4641, 5454, 6872, 7795, 225, 1116, 2561, 4125, 4371, 6118, 7241, 8212, 240, 1468, 2771, 3313, 5157, 6050, 6840, 7492, 663, 2012, 2925, 3394, 4437, 5481, 6860, 8185, 980, 2079, 2943, 3540, 5145, 5515, 6564, 7955, 650, 1881, 2944, 3692, 5098, 5314, 6337, 7570, 650, 1893, 2429, 4039, 5125, 5579, 7030, 7535, 1101, 2048, 2188, 3892, 4401, 6142, 6267, 7256, 363, 1199, 2292, 4008, 4720, 5671, 6755, 7959, 271, 2066, 2159, 3680, 4226, 5603, 6431, 7369, 970, 1480, 2515, 3530, 4709, 5425, 6615, 7508, 1047, 2066, 2137, 3283, 4831, 6103, 7007, 7563, 940, 1446, 2137, 3918, 4764, 6075, 6796, 8224, 804, 1847, 2659, 3803, 4980, 6075, 6551, 7776, 956, 1370, 3064, 3982, 4782, 5901, 7132, 7782, 1097, 1992, 2803, 4166, 4888, 6211, 7084, 8267, 818, 1992, 3007, 3710, 4980, 5630, 6786, 7949, 818, 1992, 3128, 3866, 4630, 5241, 7084, 8267, 186, 2000, 3135, 4011, 5038, 5630, 7084, 7766, 935, 2017, 2164, 3516, 5106, 6129, 7132, 7723, 110, 1992, 2493, 3380, 4964, 5534, 6604, 7716, 186, 1237, 2781, 3803, 5083, 5223, 6996, 7876, 450, 1750, 3046, 3176, 4529, 5436, 7217, 7865, 473, 1386, 2989, 3856, 4912, 5761, 6709, 8266, 132, 2065, 3143, 3856, 4912, 5219, 7098, 7421, 779, 1581, 2166, 4171, 5145, 5968, 6988, 7537, 318, 1579, 2675, 3352, 4861, 6222, 6352, 7616, 723, 1976, 2436, 3669, 4978, 5492, 6629, 8052, 611, 1283, 2494, 3515, 4434, 5899, 6886, 7367, 725, 1803, 2725, 3488, 4841, 5621, 6768, 7277, 613, 2055, 2210, 3413, 4186, 6210, 6287, 8098, 617, 1676, 2454, 4074, 4727, 5892, 6544, 7985, 568, 1597, 2838, 3595, 5115, 5436, 6806, 8260, 225, 2002, 3000, 4115, 5138, 5556, 6657, 7549, 225, 1750, 2665, 3595, 4580, 5939, 6338, 7831, 183, 1597, 2356, 3827, 4606, 5296, 6486, 7254, 256, 1695, 2356, 3555, 4859, 5241, 6579, 7549, 183, 1706, 3028, 4141, 4423, 5942, 7098, 7683, 256, 1706, 2468, 3407, 4870, 6137, 6840, 7865, 256, 1633, 2718, 3555, 4859, 5892, 7000, 7707, 183, 1112, 2944, 3555, 4859, 6175, 6996, 7485, 256, 1858, 2970, 3555, 4762, 6137, 7120, 7563, 183, 1112, 2370, 4096, 5088, 5719, 6812, 7303, 183, 1112, 2992, 3564, 4836, 5296, 7160, 7643, 568, 1289, 2282, 3931, 4863, 5413, 7223, 7966, 568, 1695, 2792, 3234, 5167, 5500, 6809, 7778, 617, 1684, 2656, 3891, 5159, 6149, 6740, 7706, 552, 1467, 2582, 4145, 4583, 5216, 7181, 7641, 731, 1521, 2960, 3446, 4954, 5515, 6967, 7750, 692, 1219, 2897, 3922, 4911, 5606, 6486, 8169, 504, 1490, 2937, 3962, 4555, 5982, 7038, 8058, 970, 1496, 2924, 3582, 4635, 5703, 6338, 7948, 731, 1363, 3001, 3793, 4834, 5797, 7220, 7614, 150, 1717, 2807, 3233, 4955, 5650, 6884, 7677, 1029, 1510, 3085, 3743, 4273, 5276, 6551, 8137, 536, 1773, 3051, 4025, 4347, 5891, 7154, 7797, 104, 1865, 3073, 3458, 4285, 5934, 6669, 7473, 211, 1989, 2944, 3621, 4374, 5650, 7239, 7927, 779, 2107, 3060, 4145, 4822, 5216, 6953, 8107, 1056, 2125, 2991, 3908, 5061, 5678, 6588, 8016, 1056, 1851, 2470, 3440, 4925, 5216, 6467, 8185, 639, 1660, 2627, 3314, 4305, 5573, 6614, 7894, 840, 1322, 2163, 3427, 5022, 6187, 6627, 7365, 864, 1499, 2979, 3187, 4270, 5745, 7157, 7273, 1033, 1655, 2797, 3262, 5118, 6101, 6768, 7572, 308, 1218, 2387, 4066, 4536, 5687, 7100, 7365, 956, 2068, 2957, 3440, 4619, 6014, 7023, 7918, 818, 1844, 2391, 4011, 4366, 6146, 6979, 8083, 818, 1998, 2781, 4114, 4782, 6211, 7218, 7806, 914, 1992, 3128, 4071, 4912, 6205, 6972, 8185, 293, 1171, 2886, 3475, 5073, 5372, 6622, 7974, 171, 1210, 2529, 3723, 4954, 5677, 7090, 7962, 857, 1596, 2924, 3704, 4775, 5706, 6345, 7442, 650, 1407, 3150, 3388, 4670, 5799, 6413, 7426, 247, 1426, 2737, 3696, 4364, 5452, 6552, 7474, 249, 1603, 2491, 3244, 4364, 6162, 6237, 7925, 976, 1157, 2933, 3747, 4811, 5934, 6557, 8021, 895, 1440, 2579, 3290, 4440, 5973, 6957, 8058, 887, 1682, 2636, 3925, 4842, 6152, 6234, 7808, 1090, 1682, 2636, 3973, 4287, 6085, 6470, 7966, 1090, 1494, 2721, 3352, 4954, 5797, 6319, 7500, 1090, 1682, 3098, 3917, 4575, 5586, 7133, 7876, 1090, 1682, 3101, 3908, 4743, 5548, 6515, 7957, 678, 2033, 2695, 3955, 5115, 6211, 6677, 7485, 211, 1393, 3053, 3521, 4734, 5953, 6755, 8236, 211, 1881, 2925, 4150, 4276, 6205, 6988, 8260, 804, 2063, 3135, 4067, 5159, 6103, 6709, 7949, 1097, 1998, 2542, 4011, 5085, 5705, 7084, 7715, 789, 1998, 3043, 3364, 5083, 6211, 7207, 7563, 256, 1998, 3064, 4145, 4549, 5581, 6979, 7477, 183, 1750, 2355, 3873, 4344, 6085, 7168, 8069, 183, 1623, 2729, 4149, 4622, 5378, 6709, 7641, 356, 1633, 2167, 3904, 5160, 5594, 7160, 7716, 914, 1756, 2783, 4006, 4512, 5296, 6677, 7876, 223, 1281, 2687, 3749, 5088, 5746, 7147, 8126, 650, 1768, 3026, 3488, 4288, 5730, 7085, 8096, 993, 1282, 2156, 3338, 4364, 6080, 6769, 7629, 487, 1561, 2348, 3631, 4808, 5890, 6723, 8178, 103, 2107, 2595, 3550, 4225, 6135, 6603, 7774, 1097, 1755, 2960, 4085, 4545, 5767, 6410, 8260, 956, 1963, 3110, 3914, 4366, 5832, 7006, 7782, 488, 1791, 3135, 4018, 4624, 6139, 6786, 8179, 914, 1750, 3135, 4071, 5165, 5705, 7201, 8083, 914, 2079, 2895, 4114, 4888, 6103, 6786, 8260, 956, 2017, 2960, 3516, 4888, 5210, 6786, 7782, 956, 2000, 2880, 3710, 5038, 6085, 7226, 8260, 568, 2098, 2725, 3488, 4549, 6149, 6302, 7704, 756, 1349, 2422, 3391, 4225, 6063, 7207, 8179, 650, 1472, 2411, 4055, 4910, 5584, 6717, 7474, 1103, 1472, 2678, 3423, 4381, 5823, 7229, 8065, 1074, 1510, 2348, 3605, 5171, 5918, 6456, 7839, 730, 2107, 2196, 4021, 4539, 5653, 6576, 8088, 1011, 1116, 2848, 3384, 4494, 5490, 7151, 7960, 980, 1510, 2580, 3474, 4527, 5259, 6313, 8189, 1081, 1141, 2456, 3487, 4266, 6085, 6520, 7764, 844, 1399, 2429, 3420, 4266, 5523, 6573, 7492, 692, 1299, 2520, 3679, 4981, 6006, 6504, 7995, 113, 1139, 2564, 3921, 4229, 5470, 7222, 7478, 371, 1455, 2163, 3736, 4214, 5720, 7242, 7366, 917, 2084, 2979, 3170, 5126, 5387, 6399, 7917, 407, 1251, 2599, 3979, 4995, 5482, 6839, 7952, 536, 1469, 2979, 3660, 4855, 6037, 6837, 8249, 494, 1919, 2597, 3302, 4509, 5861, 6404, 7762, 113, 1469, 2653, 3289, 4214, 5605, 6950, 7728, 1030, 1255, 2968, 3281, 4309, 5789, 6582, 7827, 1066, 2019, 2224, 3954, 4364, 5332, 6579, 7995, 1016, 2048, 2173, 4105, 4938, 6118, 6739, 7736, 150, 1988, 2304, 3517, 4214, 5571, 7198, 7721, 150, 1156, 2173, 3282, 4964, 6118, 6367, 7827, 150, 1469, 2349, 4150, 4964, 5803, 7172, 8017, 150, 1290, 3146, 3736, 4924, 6010, 6666, 7968, 150, 1664, 2312, 3478, 4803, 6118, 6896, 7508, 1001, 1897, 2636, 3429, 4315, 6095, 6603, 7679, 1022, 1897, 2636, 3507, 5107, 6000, 6461, 7426, 1016, 2089, 2149, 3284, 4310, 5794, 6493, 7611, 1011, 2089, 2476, 3220, 4321, 5872, 6648, 7682, 1016, 1919, 2425, 3880, 4314, 5783, 6806, 7462, 1011, 1146, 2712, 3512, 4511, 5263, 6760, 7599, 961, 2095, 2965, 3338, 4389, 5872, 6565, 7920, 970, 1179, 2636, 3433, 4911, 5781, 6881, 7286, 970, 1524, 2839, 3385, 4728, 5526, 7123, 8229, 970, 1974, 2383, 3907, 5144, 5557, 6579, 8030, 970, 1469, 2349, 3943, 5149, 5567, 7172, 8085, 980, 1524, 2458, 4011, 4809, 5734, 6240, 7349, 940, 1897, 2932, 3886, 4555, 5911, 7004, 7264, 1097, 1998, 3043, 3671, 4867, 5883, 6630, 8237, 935, 1992, 2949, 3961, 4287, 5630, 6972, 7723, 201, 1528, 2925, 3645, 4822, 5883, 7239, 7641, 488, 2017, 2746, 4071, 5104, 5241, 7077, 8237, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 818, 2017, 2164, 3893, 4624, 6186, 7239, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 488, 2111, 3065, 3825, 4624, 5635, 7120, 8223, 488, 2111, 3065, 3893, 4798, 6081, 6794, 8223, 915, 2111, 2164, 3914, 4798, 5635, 7077, 8223, 4, 2 ]
[ 1, 53, 11, 63, 51, 5, 54, 33, 75, 35, 5, 48, 75, 44, 54, 5, 63, 44, 53, 33, 53, 28, 35, 30, 5, 31, 16, 5, 45, 54, 64, 16, 30, 16, 54, 66, 5, 5, 3, 510, 1860, 3064, 3226, 4387, 6195, 6918, 7949, 160, 1982, 3080, 3755, 5119, 5502, 6582, 7918, 223, 1269, 2444, 3894, 4381, 6118, 6480, 8135, 223, 2070, 3033, 3537, 4803, 5861, 6592, 7908, 1025, 1350, 3033, 3771, 4781, 5754, 6413, 7927, 993, 1986, 2312, 3431, 4578, 5927, 6917, 7932, 399, 1582, 2460, 3981, 4636, 5631, 6736, 7854, 1034, 1582, 2399, 3220, 5154, 6170, 6795, 7966, 661, 1706, 2265, 4013, 4906, 5885, 6643, 7984, 1083, 1582, 3074, 3875, 4244, 5551, 6770, 7567, 681, 1706, 2348, 3154, 4607, 5295, 6293, 7685, 161, 1581, 3010, 3605, 4205, 6093, 6679, 7904, 584, 1990, 2540, 3605, 5109, 5810, 6670, 7607, 360, 1141, 3074, 3229, 4791, 6158, 6944, 8234, 319, 1968, 2848, 3428, 4316, 5940, 7053, 8249, 1040, 1758, 2741, 3384, 4205, 5240, 7247, 7462, 815, 1463, 2378, 3214, 4484, 5936, 7000, 8067, 427, 1682, 2943, 4112, 5160, 5702, 7023, 7421, 984, 1976, 3110, 3771, 5078, 5346, 7111, 8188, 427, 2073, 2563, 3516, 4385, 5590, 6850, 7992, 153, 1876, 2542, 4115, 4359, 5436, 6588, 7677, 757, 1858, 3007, 3468, 4788, 6205, 7003, 8205, 859, 1475, 2775, 3374, 4379, 5963, 7160, 7876, 859, 1467, 2754, 4011, 4622, 6131, 7132, 7831, 512, 1620, 2899, 4005, 5058, 5565, 7207, 7753, 401, 1773, 2793, 4093, 4278, 5981, 7168, 8080, 401, 1563, 3063, 4151, 4533, 5378, 6871, 7948, 150, 1676, 2750, 3575, 5159, 5500, 7047, 8237, 150, 1676, 2750, 3977, 4835, 5825, 6302, 8085, 778, 1692, 3033, 4101, 4288, 5674, 6687, 7864, 299, 1633, 2401, 3649, 5075, 5610, 7085, 7980, 615, 2036, 2365, 3843, 4584, 5370, 6358, 7797, 184, 1434, 2882, 3820, 5000, 5715, 7212, 7580, 734, 1633, 2689, 3261, 4843, 5745, 6286, 7771, 247, 1472, 2848, 3751, 4388, 5733, 6947, 7597, 247, 2099, 2348, 4015, 4364, 5560, 6474, 8197, 465, 1510, 2846, 4082, 4478, 6086, 6856, 7442, 1090, 1865, 2149, 4085, 4764, 5263, 7004, 8240, 390, 1791, 3147, 4113, 4844, 5565, 7095, 8184, 440, 2030, 3039, 3649, 5035, 6025, 6909, 7901, 923, 1512, 2924, 3423, 4489, 6183, 7246, 8252, 271, 1635, 2905, 3849, 4803, 6116, 6895, 7978, 344, 1887, 2659, 4154, 4333, 5574, 7092, 7248, 840, 2055, 3074, 4030, 5017, 5849, 6583, 7625, 404, 2036, 2878, 4073, 4818, 5301, 6280, 7439, 277, 1736, 3033, 3191, 4381, 5944, 7135, 8232, 1008, 1736, 3066, 3913, 4277, 5518, 6614, 8163, 1080, 1736, 2841, 3936, 4825, 5703, 6623, 7904, 547, 1494, 3026, 3570, 5022, 5719, 6624, 7834, 778, 1886, 2751, 4156, 4818, 6005, 6800, 7841, 807, 1918, 2625, 3802, 4242, 5874, 6260, 7756, 487, 1561, 2687, 3968, 5016, 5862, 7223, 7702, 443, 1397, 3126, 3551, 4736, 5409, 6763, 7815, 807, 1754, 2435, 3551, 4795, 5800, 6840, 7873, 807, 1754, 2817, 3358, 4258, 5810, 6717, 7480, 807, 1428, 2885, 3307, 4539, 5697, 6911, 8207, 715, 1758, 2149, 3602, 4955, 5765, 7100, 7488, 440, 1125, 2946, 3430, 4626, 6118, 7229, 7452, 440, 1369, 3114, 3456, 4306, 5565, 6719, 8096, 756, 1171, 2895, 3359, 4374, 5558, 6768, 7962, 639, 1141, 2627, 3826, 4533, 5918, 6470, 7951, 692, 2053, 3130, 4085, 4789, 5482, 7185, 7649, 104, 1669, 2261, 3358, 4983, 5276, 6940, 7817, 993, 2059, 2134, 4143, 4604, 5344, 7049, 7681, 826, 1510, 2348, 4072, 4669, 5432, 6403, 7560, 887, 1735, 2678, 3455, 4386, 5810, 6619, 8149, 271, 1335, 2429, 3905, 5022, 5921, 6371, 7386, 993, 1676, 2678, 3537, 4536, 5510, 6978, 7641, 993, 1676, 2750, 3233, 4467, 5498, 6813, 7260, 826, 1865, 2793, 3254, 4321, 5472, 7052, 7544, 826, 1248, 2688, 3669, 4887, 5910, 6258, 7954, 778, 1349, 2559, 3767, 4354, 5512, 6405, 7393, 104, 1736, 2332, 3259, 4514, 5703, 7219, 8188, 993, 1736, 2708, 3454, 5111, 5294, 7075, 7837, 535, 1453, 3058, 3792, 4818, 6130, 6593, 7864, 535, 1397, 2775, 3425, 4875, 5790, 7068, 8190, 462, 1283, 2527, 3873, 4364, 5727, 7128, 7860, 936, 2059, 2396, 4080, 5146, 5990, 6885, 7318, 641, 1676, 2188, 3819, 4913, 5703, 7195, 7684, 778, 1755, 3101, 3679, 4762, 6002, 7024, 7296, 299, 1935, 2401, 3873, 4191, 6084, 7157, 7954, 299, 1141, 2591, 3410, 4795, 5610, 6737, 7563, 299, 1141, 2610, 3540, 4635, 5547, 6301, 7870, 887, 2053, 2975, 3363, 4635, 5485, 6239, 7649, 104, 1655, 2401, 3323, 4691, 5507, 6657, 7799, 1025, 1655, 2128, 3752, 4966, 5493, 6966, 7494, 1023, 1567, 2207, 3663, 4813, 5286, 6770, 7629, 313, 1455, 3091, 3245, 4226, 5648, 6237, 7393, 462, 1826, 2476, 3583, 5092, 5696, 6610, 7405, 536, 2062, 3106, 3245, 4316, 5581, 7133, 7479, 1024, 1494, 2309, 3395, 4835, 5973, 6770, 7498, 778, 1692, 2384, 3410, 4897, 5586, 6965, 7868, 150, 2053, 2429, 3298, 4635, 5711, 6622, 8195, 150, 2053, 2429, 3513, 5001, 5423, 6812, 7587, 826, 1655, 2994, 4080, 5020, 5733, 7076, 8146, 1025, 2009, 2797, 3799, 4346, 5818, 6494, 7992, 1025, 1797, 3098, 3869, 4622, 5481, 7010, 7602, 610, 1797, 3008, 3540, 5080, 6211, 6668, 7948, 610, 2051, 2340, 4005, 4589, 5910, 6616, 7530, 535, 1415, 2931, 4005, 5162, 5641, 7072, 7789, 840, 1327, 2595, 3782, 4936, 6178, 7242, 7383, 404, 1299, 2801, 3817, 5116, 6130, 6526, 7625, 536, 1758, 2589, 3465, 4278, 5532, 7242, 7627, 1001, 1808, 3026, 3687, 4371, 5500, 6965, 8009, 113, 1821, 2610, 4083, 5075, 5794, 6763, 8187, 610, 1510, 2456, 4083, 4604, 5433, 6772, 7384, 1056, 2008, 2902, 3758, 4730, 6087, 6614, 7791, 804, 2095, 3007, 3671, 4888, 5515, 6979, 8066, 1056, 1139, 3064, 3710, 5104, 5904, 6852, 7948, 308, 1856, 3008, 3983, 5038, 5883, 7058, 7806, 405, 1218, 2163, 3232, 4822, 5210, 7100, 7816, 868, 1881, 2188, 3533, 5041, 5678, 6708, 8039, 462, 1881, 2487, 3253, 4804, 6125, 6870, 7660, 462, 1808, 2464, 3769, 4359, 5381, 6624, 8129, 807, 1296, 2355, 3968, 5148, 5829, 6601, 8130, 487, 1863, 2638, 3425, 4785, 6101, 6614, 8092, 807, 1782, 2797, 3785, 4620, 5810, 6813, 7660, 582, 1350, 3091, 4154, 4555, 5212, 6731, 8189, 778, 1121, 2751, 3356, 4790, 6181, 7033, 7873, 104, 1918, 2232, 4007, 4218, 5350, 7162, 7652, 487, 1150, 2432, 3380, 4604, 6107, 6809, 7616, 862, 1458, 3116, 3793, 4586, 5823, 6919, 7758, 839, 1640, 2332, 4094, 4274, 5584, 6569, 7752, 1040, 1832, 2847, 3421, 5110, 6192, 6840, 7693, 536, 1541, 2254, 4079, 4829, 5825, 6651, 8038, 1025, 1821, 2167, 3251, 4604, 5982, 6820, 8081, 887, 1771, 2502, 3472, 4365, 5485, 6646, 7811, 850, 1676, 2732, 4078, 4665, 5209, 6980, 7428, 778, 1755, 2129, 4145, 4536, 5861, 6550, 7899, 831, 1369, 2366, 3525, 4536, 5279, 6604, 7881, 453, 2068, 2988, 3517, 5159, 6063, 7160, 7794, 240, 1339, 2771, 3623, 5187, 5768, 6786, 8236, 127, 2084, 2554, 3891, 4638, 5749, 6701, 7602, 518, 1791, 2542, 3227, 4398, 6157, 6579, 7485, 240, 1853, 3144, 3642, 4179, 5536, 7203, 7683, 518, 2118, 2610, 3362, 4638, 5536, 6338, 8126, 513, 2060, 2359, 4145, 4278, 5530, 6889, 7908, 552, 1620, 3144, 3770, 4617, 6205, 6709, 8036, 401, 1349, 2961, 3957, 4816, 5538, 6349, 7878, 271, 1349, 2312, 3741, 4258, 5944, 6626, 7381, 271, 1533, 2725, 3992, 4995, 6072, 6820, 8077, 271, 2118, 3019, 3593, 5090, 5854, 6458, 7860, 844, 1881, 3130, 3298, 4457, 6215, 7065, 7781, 952, 1139, 3033, 3533, 4863, 5527, 6615, 7648, 981, 1496, 3101, 4106, 4364, 5263, 6540, 7954, 1052, 1496, 3039, 4145, 4901, 6050, 6625, 7262, 806, 1496, 2751, 3298, 4354, 5423, 6814, 7312, 938, 2118, 3003, 3436, 4954, 6016, 7229, 7961, 1080, 2118, 3076, 4130, 4489, 5820, 6244, 8108, 692, 1171, 3033, 3924, 4422, 5325, 7163, 7913, 569, 1915, 2271, 3941, 4191, 5715, 6504, 8215, 831, 1778, 3033, 3704, 4797, 5950, 6325, 7831, 1025, 1399, 2750, 3970, 4536, 5552, 7230, 8126, 831, 1120, 2750, 3642, 5145, 5889, 6581, 7914, 804, 1847, 3007, 4145, 5160, 5844, 6314, 7602, 617, 2098, 2959, 4085, 5143, 5548, 6979, 7448, 617, 1695, 2614, 3370, 5007, 5364, 6515, 7466, 488, 2111, 2970, 3391, 5038, 5963, 6786, 8080, 818, 1791, 3095, 3945, 5166, 6182, 7006, 8237, 818, 2017, 3117, 3367, 4630, 6139, 6972, 8223, 488, 1528, 2914, 3825, 5038, 6139, 7077, 8147, 818, 2017, 2806, 3893, 4624, 5241, 7201, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1528, 3065, 3893, 4624, 6186, 6794, 8196, 915, 1622, 2833, 3825, 4624, 6186, 6794, 8196, 555, 1218, 2833, 4174, 4512, 5883, 6709, 7717, 555, 1684, 3021, 4011, 4512, 5635, 6972, 7485, 555, 1876, 2858, 4166, 4387, 5844, 6996, 8080, 555, 1648, 2858, 4166, 4870, 5901, 6251, 7717, 915, 1648, 3021, 3914, 4512, 5892, 6752, 8237, 555, 1648, 2858, 3914, 5159, 5413, 7124, 7723, 555, 1684, 2880, 4068, 4704, 5811, 7124, 8126, 555, 1750, 3021, 3374, 4583, 6163, 6794, 7766, 915, 1684, 2858, 3914, 4798, 5241, 7120, 7723, 915, 1622, 2164, 3374, 4622, 5219, 6996, 8237, 915, 2017, 2914, 3374, 4798, 5241, 7100, 8223, 915, 1684, 2164, 3825, 4512, 5981, 6794, 7766, 915, 2017, 2164, 3914, 4622, 5241, 7124, 8223, 915, 2017, 3021, 3825, 4870, 5635, 6677, 8196, 488, 1528, 3021, 3893, 4512, 5892, 6752, 7766, 555, 1648, 3021, 3891, 4512, 5635, 7077, 8080, 4, 2 ]
[ 1, 31, 39, 5, 28, 45, 52, 30, 5, 31, 16, 5, 30, 14, 53, 5, 52, 20, 55, 42, 35, 5, 14, 66, 5, 76, 17, 54, 64, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6081, 7226, 8223, 915, 1528, 3065, 3825, 4398, 5241, 6786, 8196, 653, 1881, 2975, 3904, 4285, 6129, 6349, 8208, 1045, 1596, 2706, 3875, 4347, 5419, 6680, 8033, 602, 1826, 3037, 3596, 4457, 6135, 6386, 7995, 612, 1283, 2161, 3552, 4539, 5268, 7094, 7618, 557, 1695, 2563, 3218, 4697, 6125, 6624, 7826, 1023, 1695, 2426, 3714, 4412, 5555, 6224, 7738, 540, 1580, 2791, 3875, 5146, 5298, 6230, 7415, 363, 1834, 2529, 3316, 4412, 5224, 6301, 8129, 784, 1164, 2531, 3770, 4539, 5314, 6296, 8070, 266, 1695, 2565, 3792, 4690, 5216, 6955, 8169, 510, 1992, 2996, 3692, 4589, 5767, 6566, 7290, 1056, 1850, 2717, 3970, 4980, 5811, 6740, 7906, 512, 2041, 3021, 3909, 5115, 5788, 7100, 8188, 308, 1467, 3135, 3811, 4822, 6131, 7100, 7753, 684, 1218, 2315, 3826, 4782, 5832, 6979, 7959, 804, 2046, 2989, 3440, 4622, 6085, 7111, 8080, 512, 1620, 3095, 3990, 5061, 5694, 7132, 8237, 512, 1945, 2340, 3827, 5183, 5573, 6688, 7557, 870, 1510, 2945, 3831, 4923, 5706, 6894, 7748, 975, 1283, 2171, 3956, 4214, 6194, 6881, 7902, 632, 1283, 2940, 3446, 4568, 5839, 6231, 7590, 1036, 1621, 3080, 3180, 4982, 5644, 6692, 7772, 862, 1761, 2156, 4168, 4179, 5320, 6769, 7737, 994, 1315, 2867, 3647, 4706, 5870, 7043, 8149, 664, 1440, 2869, 4158, 4231, 5852, 6958, 8163, 664, 1440, 2505, 3254, 5022, 5874, 7102, 7931, 961, 1498, 3040, 3689, 4379, 5684, 6415, 7800, 344, 1440, 2639, 3313, 4441, 5364, 7174, 8265, 83, 1995, 2274, 3249, 4873, 5548, 6367, 7983, 344, 1723, 2691, 4053, 4288, 6145, 6299, 8018, 344, 1190, 2137, 3843, 4856, 5643, 6632, 7702, 1016, 1498, 3040, 3707, 4238, 5254, 7232, 8178, 961, 1498, 2137, 4105, 4679, 6130, 6839, 7646, 1011, 1305, 2137, 3895, 4205, 5572, 7111, 8262, 537, 1827, 2137, 3440, 4609, 5983, 6516, 7473, 304, 1562, 2659, 4171, 5139, 5968, 6935, 8012, 955, 1562, 2971, 3990, 4449, 6110, 6579, 7876, 779, 1956, 2560, 3962, 4583, 5586, 7160, 7952, 901, 1407, 2924, 3470, 4966, 5431, 7132, 8227, 1065, 1992, 2742, 4120, 4982, 5864, 6626, 7524, 862, 1420, 2486, 3399, 4887, 5624, 7158, 7599, 200, 1826, 3040, 3880, 4351, 6133, 6905, 7956, 664, 1129, 2607, 3552, 4612, 5829, 6704, 7924, 231, 1504, 2626, 3668, 5079, 6148, 6403, 8154, 684, 2068, 2989, 4124, 4859, 6063, 6772, 8260, 308, 1924, 2359, 3945, 4214, 5550, 6612, 8034, 308, 1175, 2239, 3251, 5085, 5527, 6849, 7887, 143, 1669, 2157, 3909, 4890, 5280, 6412, 7675, 845, 1688, 2172, 4175, 4321, 5845, 6576, 7718, 1101, 1830, 2282, 3824, 4891, 6206, 6808, 7378, 737, 1557, 2183, 3531, 4644, 6194, 6898, 7879, 966, 1171, 3116, 3880, 4506, 5706, 7022, 7296, 465, 2120, 2572, 3736, 4364, 5973, 6230, 7400, 1101, 1984, 3041, 3888, 5092, 5787, 6270, 7992, 884, 1301, 2953, 3940, 5092, 5643, 6905, 7483, 737, 1217, 2869, 3368, 4308, 6162, 6419, 7378, 868, 1631, 3040, 3920, 4781, 6169, 6710, 7697, 1101, 1997, 2869, 3376, 4835, 6002, 6659, 8011, 725, 2061, 2869, 3895, 4857, 5982, 6248, 8190, 1101, 1424, 3040, 3849, 4466, 5848, 6653, 8098, 725, 1354, 3055, 3420, 4236, 5221, 6429, 7778, 504, 1312, 3040, 3882, 4753, 5535, 6875, 7738, 386, 2008, 2999, 3425, 4983, 5704, 6980, 7735, 401, 1867, 2492, 4074, 4289, 6055, 7233, 7515, 504, 1826, 2783, 3962, 4856, 6131, 7003, 7716, 678, 1385, 2944, 3430, 5148, 6070, 6589, 8236, 643, 1227, 2944, 3361, 4774, 5250, 7005, 7992, 1081, 1370, 2783, 4027, 5165, 6001, 6968, 8240, 1025, 1668, 2733, 4166, 4859, 6073, 6996, 7838, 386, 1265, 2527, 3998, 4782, 5424, 6615, 8173, 887, 1833, 2482, 3802, 4324, 5640, 6613, 7876, 1090, 1972, 2687, 3456, 4487, 6064, 6765, 7360, 1011, 1660, 2970, 3488, 5110, 5315, 6711, 8144, 887, 1669, 2793, 3742, 4867, 5205, 7163, 7453, 1008, 1938, 3149, 4130, 5192, 5235, 6267, 7476, 1074, 1926, 2693, 3624, 4607, 5547, 6670, 7924, 407, 2050, 3074, 3700, 4614, 5480, 6751, 7820, 774, 1766, 2569, 3517, 4765, 5358, 6438, 8020, 1041, 2026, 2372, 3517, 4759, 5985, 7142, 7736, 531, 1674, 2198, 3309, 4788, 5596, 7052, 7462, 1008, 1387, 2636, 3492, 5158, 6002, 6316, 7828, 344, 2026, 2236, 3221, 4483, 5253, 6805, 7644, 974, 1727, 2368, 3349, 4285, 5457, 6542, 7491, 1008, 1146, 2320, 3547, 4339, 5345, 6271, 7779, 1025, 1438, 2518, 4079, 4364, 5643, 6918, 7622, 1035, 1939, 2697, 3631, 4298, 5850, 6614, 7634, 150, 1831, 3101, 3623, 5164, 5710, 7025, 7770, 887, 1244, 2924, 3973, 4859, 5810, 6350, 7863, 887, 1831, 2750, 3442, 5095, 5359, 6786, 7737, 887, 1269, 2989, 3885, 4803, 6063, 6684, 7643, 887, 1269, 2357, 3176, 4287, 6085, 6566, 8085, 1090, 1269, 2798, 3886, 4803, 5534, 6707, 7502, 691, 1547, 3080, 4089, 4760, 6212, 6658, 8178, 299, 1682, 2867, 3479, 4596, 6135, 6940, 7941, 465, 1407, 2506, 3986, 4436, 5729, 6474, 8133, 803, 1141, 2741, 3505, 4776, 5715, 6615, 7515, 1029, 1742, 2173, 3181, 4369, 5441, 6474, 8134, 1005, 1777, 2559, 4153, 4825, 5338, 6419, 7815, 887, 1517, 2761, 3283, 5129, 5269, 6659, 7706, 504, 1736, 2167, 3937, 5154, 6156, 7081, 8015, 643, 1403, 3026, 4078, 4212, 5500, 6456, 7528, 692, 1688, 2142, 3459, 4720, 5204, 6529, 7630, 1101, 1830, 2142, 3605, 4902, 5614, 6651, 7773, 1080, 1280, 2693, 4087, 5134, 6207, 6530, 7488, 940, 1139, 2282, 3910, 4530, 5963, 6713, 7997, 956, 1675, 2492, 3803, 4630, 6131, 6467, 7485, 1097, 1992, 2957, 3803, 4573, 5635, 6786, 8260, 984, 1869, 3143, 4152, 4912, 5687, 6613, 8076, 984, 1562, 2781, 3206, 5060, 5630, 6709, 7753, 488, 1845, 2746, 3893, 4782, 6081, 7006, 7723, 935, 2068, 2991, 4068, 4630, 5705, 7006, 8196, 935, 1622, 3007, 4115, 5165, 6205, 6988, 7766, 684, 1822, 2943, 3776, 4287, 5534, 7160, 7965, 401, 1577, 2838, 3188, 5115, 5678, 6604, 8066, 391, 1711, 2923, 4112, 4318, 5776, 6755, 7918, 726, 1383, 2490, 4162, 4706, 5414, 7067, 7721, 864, 1720, 2490, 3416, 4760, 5613, 6306, 7999, 668, 1843, 2894, 3769, 5022, 6111, 6234, 7785, 864, 1926, 2603, 4015, 5030, 5604, 6846, 7841, 975, 1659, 2491, 3624, 4506, 6135, 6511, 7500, 1024, 1345, 3123, 3582, 4541, 5547, 7230, 8254, 575, 1682, 2256, 3295, 4335, 5203, 6461, 8178, 1005, 1299, 2173, 3452, 4682, 5468, 6256, 8098, 1090, 1199, 2678, 3769, 4993, 6164, 6620, 7355, 390, 1581, 2944, 3878, 4467, 5749, 7120, 8209, 1090, 2024, 2944, 3540, 4374, 5968, 7239, 8188, 308, 2024, 2895, 3440, 5088, 6014, 7047, 8080, 804, 1175, 3007, 3188, 5085, 6195, 7019, 8083, 512, 1992, 3008, 4171, 4867, 6211, 7239, 7485, 617, 1965, 3133, 3857, 4501, 5696, 6348, 7975, 228, 1851, 2172, 3599, 4398, 5586, 7120, 7559, 518, 1734, 2242, 3564, 4877, 5901, 6486, 7477, 228, 2034, 2791, 3651, 4566, 5830, 6291, 7865, 228, 1468, 2791, 4153, 4576, 6157, 7129, 7706, 228, 2034, 2565, 3413, 4344, 5219, 7152, 7732, 228, 2106, 3099, 3515, 4681, 5219, 6889, 7677, 228, 1586, 2469, 3874, 5060, 5534, 6338, 8076, 654, 1586, 3150, 3798, 4549, 6175, 7207, 7291, 225, 1424, 2251, 3337, 4681, 5514, 7024, 7732, 228, 2111, 2869, 4103, 4681, 5520, 6717, 8102, 228, 2111, 2316, 4138, 4904, 5830, 6763, 8093, 228, 1468, 3021, 3891, 4681, 5364, 7006, 7948, 183, 1851, 2221, 3891, 4877, 6157, 6772, 7906, 543, 1304, 2554, 4145, 4398, 5935, 7152, 8236, 617, 2127, 2554, 3596, 4681, 5385, 7152, 7664, 419, 2002, 2754, 3770, 4681, 6157, 6752, 7716, 555, 2111, 2554, 3838, 5120, 6137, 6996, 7865, 488, 2065, 2806, 3595, 4398, 5515, 6688, 7303, 488, 1622, 3065, 3595, 4398, 6139, 7077, 8147, 488, 1528, 3117, 3367, 4798, 6139, 7077, 7865, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 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, 4, 2 ]
[ 1, 31, 33, 63, 5, 28, 63, 39, 78, 16, 54, 5, 51, 52, 20, 78, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 6752, 8147, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8147, 818, 1869, 3117, 3982, 4798, 5612, 6709, 7949, 304, 1755, 2971, 3982, 4592, 5385, 6515, 8266, 650, 1234, 2161, 3982, 4366, 6111, 7095, 8267, 752, 1265, 2881, 4061, 4457, 5734, 7004, 7808, 374, 1557, 2486, 4003, 4352, 5734, 6443, 8060, 117, 1971, 2346, 3843, 4846, 5827, 6881, 7916, 988, 1283, 2271, 3421, 4412, 5606, 6866, 7831, 881, 1347, 2175, 3488, 4412, 6002, 7198, 7355, 806, 2099, 2232, 4072, 4459, 6215, 6881, 7633, 646, 1110, 2156, 3751, 4459, 5361, 6720, 7669, 761, 1557, 3018, 3238, 5124, 5366, 6710, 7436, 814, 1458, 2429, 3276, 5084, 6184, 6308, 8232, 160, 1828, 2975, 3229, 5124, 5408, 6566, 7781, 390, 1838, 2553, 3662, 4282, 6065, 6493, 7639, 308, 1238, 3098, 4143, 5088, 5968, 7098, 7948, 1037, 1750, 3080, 3516, 4181, 6120, 6256, 7846, 308, 1989, 2946, 3975, 4912, 5219, 6584, 8179, 1037, 2063, 2760, 4018, 4633, 5968, 7207, 7876, 390, 2079, 2838, 4011, 4366, 5883, 6786, 7720, 211, 1750, 2838, 4068, 4980, 5219, 7006, 8083, 390, 1963, 3064, 3990, 5060, 5216, 6988, 8266, 955, 2045, 3144, 4114, 4541, 6000, 6809, 8260, 410, 1399, 3035, 3183, 4364, 6164, 6870, 7525, 1066, 1986, 2863, 3602, 5120, 5502, 6985, 7508, 569, 1867, 2934, 3969, 4261, 5925, 7157, 8246, 806, 2052, 2451, 3969, 4763, 5656, 6970, 7644, 988, 1517, 2688, 3934, 4377, 5695, 6663, 7548, 646, 1736, 2995, 3963, 4686, 5465, 6308, 8191, 1103, 2059, 2801, 3764, 4450, 5441, 7117, 7318, 1043, 1283, 2484, 3638, 4952, 6145, 7078, 8121, 487, 1283, 2484, 3423, 4848, 5982, 6939, 7271, 487, 1708, 2513, 3631, 4364, 5924, 6837, 7488, 487, 1762, 2610, 3631, 5151, 6119, 6838, 7858, 884, 1708, 2801, 3225, 4604, 5587, 6935, 7405, 487, 1708, 2492, 3555, 4604, 5304, 6566, 7675, 487, 1816, 2601, 3745, 4942, 5810, 6277, 7250, 487, 1140, 2242, 3695, 4636, 5581, 6925, 8031, 986, 1140, 2891, 3560, 4592, 5810, 6553, 8213, 986, 1335, 2327, 4155, 4959, 5730, 6224, 8162, 545, 1265, 2885, 3838, 4934, 5269, 6224, 7879, 927, 1806, 2531, 3555, 4808, 5929, 6224, 8172, 576, 1806, 2945, 3555, 5127, 5325, 7162, 8164, 576, 1989, 2751, 3555, 4344, 6147, 6757, 7476, 576, 1472, 2136, 3555, 5051, 5672, 6895, 7547, 1014, 1116, 3052, 3364, 5159, 5704, 6265, 8117, 708, 1545, 2957, 3706, 4881, 6076, 7207, 7915, 545, 1421, 2293, 3298, 4876, 6122, 6704, 8150, 886, 1350, 2830, 4079, 4228, 6145, 7062, 7899, 908, 1570, 2282, 4015, 4501, 5408, 6894, 8061, 936, 2061, 2531, 3635, 4982, 5574, 6241, 7896, 1025, 1350, 2282, 3668, 4816, 5873, 7168, 8263, 1025, 1831, 3063, 3978, 5117, 5610, 6746, 7784, 104, 1831, 3075, 3970, 4536, 6195, 6430, 7737, 887, 1782, 2436, 3932, 4983, 6120, 6281, 7559, 150, 1782, 2440, 4066, 4993, 5836, 6764, 7488, 150, 1275, 3020, 4096, 4691, 5389, 6592, 8073, 104, 1782, 2552, 3807, 4816, 6082, 7220, 7827, 850, 1141, 2581, 3224, 4942, 5662, 6979, 7538, 390, 1455, 2440, 4085, 4359, 5510, 7158, 7764, 484, 1508, 2610, 3932, 5085, 5901, 7152, 8093, 804, 2073, 2728, 3955, 4533, 6120, 6540, 7421, 293, 1898, 3048, 4167, 4541, 5714, 6884, 7828, 1094, 1979, 2573, 3271, 4180, 5766, 7195, 7598, 485, 2025, 2616, 3651, 4686, 5248, 6639, 7699, 132, 1468, 2391, 3595, 4324, 6050, 6796, 8040, 617, 1468, 3150, 3374, 5165, 5378, 6612, 7716, 405, 1974, 2163, 4171, 4277, 6085, 7111, 8145, 160, 1280, 2858, 3803, 4383, 5874, 6996, 7895, 569, 1469, 2716, 4035, 5176, 6187, 6891, 8092, 569, 2053, 2394, 3458, 4176, 6004, 6947, 8108, 443, 2070, 2325, 3760, 5081, 5506, 7234, 7905, 964, 1117, 2173, 3999, 4280, 5862, 6838, 7905, 655, 1117, 2173, 3452, 4656, 6005, 6721, 7270, 655, 1699, 2286, 3452, 4324, 5867, 7050, 7905, 368, 2110, 2173, 3584, 4846, 5867, 6477, 8189, 517, 1438, 2142, 3584, 4438, 5360, 7057, 7911, 835, 1469, 2951, 3214, 4380, 5608, 6969, 7925, 834, 2124, 2951, 4072, 5198, 5477, 6549, 7394, 774, 1469, 2236, 4128, 5108, 6043, 6267, 7869, 501, 1168, 2653, 3880, 4911, 5486, 7018, 7938, 835, 1215, 3003, 3220, 4963, 5205, 6234, 7869, 774, 1248, 2321, 3211, 5189, 5950, 6928, 8139, 581, 1156, 2225, 3780, 4205, 5380, 6397, 7984, 900, 2050, 2198, 3972, 4648, 5722, 6404, 8201, 774, 1248, 2966, 3438, 4201, 6190, 6497, 7937, 1041, 1134, 2693, 3421, 4984, 5615, 6435, 7935, 494, 1248, 2325, 3988, 4410, 5208, 6792, 8242, 655, 1828, 2536, 3220, 4299, 6191, 6583, 7422, 494, 1338, 3033, 4050, 4730, 5347, 7229, 8104, 655, 1205, 2540, 3587, 4510, 5932, 6838, 8169, 803, 1679, 2610, 3233, 4298, 5665, 6554, 7850, 761, 1828, 2697, 3751, 4418, 5939, 6556, 8235, 545, 1458, 2848, 3601, 5023, 5507, 6492, 7887, 654, 1683, 2346, 3826, 4539, 5218, 6795, 8265, 654, 2059, 2998, 3227, 4212, 5276, 6335, 8093, 195, 1309, 2565, 3857, 5106, 5963, 6909, 7892, 195, 1313, 2346, 3518, 5167, 6026, 6514, 8102, 1015, 1468, 2444, 4006, 5135, 6065, 7220, 7290, 967, 1490, 2560, 3719, 5127, 6085, 6338, 7680, 579, 2073, 2361, 3518, 5193, 5923, 6234, 8245, 1015, 1199, 2971, 3723, 4372, 5811, 6968, 7735, 473, 1519, 2654, 3352, 4775, 5462, 6502, 7765, 650, 1585, 2860, 3413, 4622, 5945, 6702, 7935, 4, 2 ]
[ 1, 41, 20, 63, 5, 45, 41, 5, 76, 48, 5, 16, 66, 33, 53, 62, 66, 16, 30, 5, 66, 73, 5, 42, 57, 5, 14, 66, 5, 62, 63, 33, 78, 16, 54, 66, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7077, 8147, 201, 1622, 2914, 3825, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8196, 419, 1851, 2164, 3914, 4798, 5241, 6604, 7723, 518, 2097, 2340, 3595, 4918, 5413, 7239, 8213, 256, 2060, 2754, 3771, 5167, 5438, 7114, 7438, 475, 1248, 2340, 3838, 4780, 6110, 6515, 7806, 335, 1797, 2781, 3487, 4447, 5761, 7085, 7831, 1009, 1318, 3003, 3953, 4305, 5775, 6881, 8103, 266, 1469, 2911, 3979, 4855, 6111, 6373, 7813, 314, 1469, 2690, 3322, 4274, 5313, 6592, 7758, 784, 1469, 3085, 3422, 4727, 5469, 6802, 7394, 266, 1543, 2460, 3703, 4656, 5553, 6549, 7905, 386, 1174, 2173, 3530, 4550, 6142, 6395, 7873, 784, 1674, 3085, 3184, 4774, 5993, 7178, 7905, 1067, 1674, 3072, 3892, 4708, 5668, 6725, 7401, 895, 1937, 2977, 4038, 4644, 5584, 6254, 7633, 558, 1294, 2543, 3309, 4382, 5715, 6494, 7652, 725, 1517, 2726, 3279, 4701, 5542, 6563, 7687, 1101, 1517, 2540, 3750, 4911, 6050, 6818, 7534, 725, 1494, 2905, 3653, 4244, 5814, 6570, 7649, 465, 1564, 3026, 3517, 4588, 6043, 7064, 7576, 113, 1506, 2349, 3828, 4936, 5640, 7074, 8041, 575, 1477, 2740, 3358, 4855, 5980, 6831, 7822, 440, 1212, 2484, 3479, 4751, 5749, 7012, 7538, 240, 1724, 2560, 4005, 4931, 5344, 6550, 7845, 440, 1750, 3008, 3697, 4215, 5755, 6443, 8221, 878, 2030, 3033, 3982, 4771, 5605, 7024, 8141, 579, 1233, 2838, 3364, 4344, 5413, 6972, 7919, 304, 1370, 2799, 3945, 4918, 5942, 6251, 8212, 643, 1494, 2321, 4017, 5125, 6007, 7071, 7795, 386, 2033, 2894, 3298, 4520, 6007, 6513, 8248, 540, 1655, 2938, 3408, 4371, 6063, 6637, 8033, 1023, 1655, 2553, 3366, 5169, 5728, 7106, 8128, 363, 1283, 3101, 3679, 4804, 5563, 6313, 7894, 487, 1692, 2566, 3324, 4318, 5800, 7212, 8006, 1023, 1550, 2610, 3939, 5001, 5741, 6625, 8108, 807, 1834, 2791, 4037, 4539, 5795, 6933, 7813, 920, 1397, 2875, 3799, 4539, 5863, 6679, 8049, 920, 1397, 2529, 3792, 5106, 5300, 7175, 7867, 137, 1397, 2495, 3332, 5097, 5653, 6606, 7842, 876, 1397, 2316, 3570, 5124, 5810, 7127, 7492, 692, 1951, 2345, 3205, 5040, 5886, 6466, 8044, 959, 2024, 3032, 3994, 4792, 5438, 6677, 7965, 935, 1998, 2991, 3914, 4822, 5767, 6515, 8179, 555, 1147, 2989, 4174, 4622, 6051, 7181, 7717, 1056, 1280, 2315, 3391, 5104, 6156, 7084, 7591, 859, 1534, 3095, 4145, 4980, 5832, 6584, 8261, 146, 2127, 2316, 3993, 4652, 5998, 6740, 8085, 195, 1961, 2665, 4113, 4549, 5677, 6740, 7495, 183, 1684, 2596, 3726, 4762, 5892, 6829, 7303, 746, 1695, 2792, 3475, 4423, 5844, 7132, 8066, 223, 1333, 2307, 3827, 4486, 5504, 6956, 8266, 499, 1349, 2265, 3508, 4735, 5283, 6614, 8027, 538, 1349, 2810, 4057, 5036, 5720, 6277, 8143, 862, 1278, 2361, 3965, 4351, 5461, 7043, 8162, 556, 1496, 2171, 3426, 4407, 6034, 6672, 7879, 678, 1509, 2754, 3771, 4654, 5836, 6764, 7967, 216, 1309, 2440, 3565, 4228, 5491, 6373, 8085, 335, 1545, 3069, 3901, 4402, 5952, 6958, 7966, 970, 1705, 3080, 3530, 4792, 5749, 6256, 7957, 779, 1623, 3037, 3845, 4966, 5981, 6979, 7641, 684, 2068, 3109, 3822, 5166, 5534, 6859, 8078, 684, 2068, 2899, 4145, 5165, 5210, 7006, 8195, 914, 1804, 3095, 4114, 4861, 5705, 6752, 7631, 489, 2127, 2854, 3364, 5120, 5927, 7129, 8027, 518, 1633, 2469, 3951, 5061, 5280, 6607, 8261, 304, 1918, 2239, 3602, 5062, 5267, 6430, 7590, 335, 2002, 2983, 3277, 4241, 5521, 6973, 7547, 1088, 1938, 2719, 3575, 4384, 5694, 6296, 7948, 1091, 1974, 2175, 4122, 4592, 6026, 6615, 7492, 571, 1424, 3147, 3478, 5183, 5963, 6612, 7887, 684, 1331, 2895, 3487, 5104, 6085, 6786, 7720, 571, 1562, 3135, 4018, 4925, 5219, 7003, 8195, 779, 1945, 3007, 4174, 5159, 5832, 6349, 8066, 304, 1320, 2167, 3994, 5083, 5219, 7114, 7723, 511, 2013, 2629, 3904, 5083, 5378, 6730, 7906, 271, 1510, 2725, 3159, 4829, 5221, 6478, 7615, 266, 1510, 2725, 4043, 4433, 5695, 6828, 7442, 643, 1778, 2288, 3582, 4664, 5480, 6704, 8095, 1097, 1850, 2754, 3918, 5088, 6146, 6402, 8253, 308, 1750, 2838, 3945, 5038, 6195, 7084, 7485, 1099, 2046, 2806, 4068, 4822, 5684, 6709, 7421, 804, 1218, 3095, 4097, 5038, 5219, 6988, 7421, 510, 1931, 2947, 4068, 4912, 5705, 7077, 7723, 308, 1218, 2924, 4174, 5060, 6129, 7084, 8267, 293, 1208, 2886, 3579, 4688, 5958, 6362, 8257, 784, 1141, 2726, 3779, 4612, 6162, 7074, 8217, 1036, 1205, 2137, 3938, 4708, 5354, 6569, 7824, 558, 1205, 2690, 3205, 4326, 5295, 6812, 7931, 333, 1554, 2137, 3406, 5193, 6158, 6679, 8241, 504, 1926, 2724, 3623, 4866, 5903, 7072, 7836, 643, 2050, 3032, 3771, 4668, 5396, 6493, 8146, 504, 2035, 2294, 3667, 5011, 5824, 7071, 7764, 643, 1316, 2326, 3330, 4853, 5484, 6851, 7458, 1081, 1520, 2137, 4049, 5098, 5644, 6465, 7528, 271, 2028, 2137, 3712, 4605, 5944, 6830, 8130, 192, 1548, 2137, 3514, 5008, 5242, 6592, 7580, 472, 1531, 2298, 4130, 4496, 5557, 6476, 7567, 884, 1151, 2282, 3629, 4602, 5293, 6859, 7336, 725, 1557, 3051, 3672, 4482, 5642, 7009, 8199, 840, 1510, 2165, 3740, 4804, 5490, 6852, 8069, 103, 1630, 3089, 4143, 5164, 5390, 7129, 7713, 1097, 1869, 2436, 3990, 4387, 5811, 6467, 7918, 984, 1628, 2932, 4145, 4630, 5981, 7111, 7723, 186, 1984, 2991, 3990, 4447, 6085, 6972, 8147, 935, 1845, 2806, 3886, 5166, 6129, 6771, 8076, 935, 2017, 2991, 3645, 5106, 6205, 6852, 8237, 935, 1467, 2746, 3645, 5080, 6211, 6996, 8260, 186, 1528, 2838, 3825, 4792, 6211, 7201, 7876, 186, 1528, 2164, 3893, 4630, 6186, 6972, 8196, 707, 1141, 2287, 3602, 4782, 6001, 6468, 7908, 878, 1736, 2971, 3862, 4303, 5865, 7119, 7899, 1062, 1141, 2856, 3727, 4868, 5765, 6493, 7289, 113, 1173, 2532, 3544, 4801, 5713, 6376, 8172, 803, 1324, 2893, 3544, 4382, 5450, 6665, 7508, 1077, 1640, 2348, 3658, 4796, 5925, 7229, 7980, 664, 1758, 2848, 3223, 4952, 5927, 6684, 7904, 807, 2109, 2785, 3605, 4995, 5973, 7177, 7537, 668, 1676, 3018, 3421, 4743, 5560, 6325, 7633, 1084, 2125, 2751, 3446, 5054, 5449, 6448, 7975, 568, 1529, 2598, 4026, 4743, 5944, 6464, 7533, 225, 1252, 2473, 3637, 4906, 5371, 6476, 7293, 228, 2108, 2923, 3723, 4395, 5581, 6986, 7732, 228, 1992, 2554, 3593, 4896, 6086, 6772, 7367, 440, 1252, 2212, 4012, 4493, 5390, 6668, 8181, 750, 2012, 2515, 4082, 4364, 5801, 6413, 7919, 1090, 1146, 2750, 3472, 4611, 5223, 7017, 8049, 1035, 1510, 2258, 3869, 4855, 6205, 6485, 7488, 826, 1858, 2348, 4096, 4441, 5989, 6610, 7570, 150, 1865, 2924, 4082, 4573, 5641, 7086, 7261, 299, 1865, 2357, 4096, 4431, 5251, 6871, 8209, 104, 1865, 2783, 3306, 4536, 5641, 6443, 7941, 663, 1557, 2440, 3201, 5004, 5673, 7047, 7410, 308, 2024, 2946, 3803, 5166, 6120, 6980, 7717, 617, 1998, 2139, 3488, 4918, 6175, 7119, 7919, 453, 1700, 3059, 3591, 5150, 5308, 7017, 8236, 914, 1620, 2833, 4145, 4387, 5438, 6668, 7887, 488, 2000, 2833, 3990, 5038, 6205, 6786, 8260, 488, 2000, 2806, 4114, 4630, 6051, 7077, 7876, 818, 1791, 3008, 4114, 5038, 6182, 7201, 7806, 818, 1791, 3135, 3893, 5080, 5635, 7239, 7766, 488, 1528, 3110, 3893, 4704, 6139, 7239, 8196, 915, 2017, 3021, 3825, 4798, 6129, 6794, 7766, 915, 1648, 3021, 3914, 4798, 6186, 6584, 7723, 859, 2127, 2970, 3914, 4681, 5515, 7168, 8076, 555, 1147, 2554, 3277, 5160, 5219, 7006, 7570, 859, 1695, 2340, 3550, 5060, 5672, 6589, 7557, 555, 1468, 3021, 4145, 4890, 6149, 6988, 8196, 555, 1623, 3021, 3391, 4890, 5901, 7124, 7563, 555, 1468, 3021, 3825, 4870, 5413, 6996, 7563, 555, 1468, 3021, 3550, 4870, 5635, 6752, 7715, 859, 1468, 3064, 4006, 4615, 6149, 6589, 7717, 555, 1147, 2970, 3391, 4762, 6163, 7152, 7563, 4, 2 ]
[ 1, 64, 20, 5, 31, 16, 5, 41, 20, 63, 16, 64, 66, 5, 31, 14, 66, 5, 43, 48, 5, 76, 45, 65, 66, 5, 5, 3, 228, 2060, 2314, 3227, 5075, 5586, 6340, 7773, 240, 2002, 3084, 3586, 5012, 5219, 7006, 8045, 228, 2127, 2669, 4121, 5038, 6110, 6551, 7485, 228, 1898, 2833, 3595, 4638, 6175, 7232, 8237, 240, 2065, 2454, 3874, 4870, 5493, 6688, 8076, 228, 1756, 2340, 3966, 4344, 5660, 7129, 7716, 857, 1400, 2292, 3826, 4775, 5241, 6589, 8132, 685, 1566, 3130, 4102, 4795, 5333, 6224, 7279, 997, 1777, 2741, 3398, 4620, 5972, 6553, 8023, 875, 1213, 2693, 4138, 4738, 5810, 6549, 7560, 900, 1582, 2321, 3727, 4381, 5909, 6693, 7926, 943, 2081, 2966, 3270, 4963, 5712, 6998, 7864, 635, 1641, 3070, 3558, 4210, 5244, 7044, 7875, 1009, 1902, 2509, 3880, 4510, 5941, 7140, 8037, 938, 2124, 2423, 3496, 4506, 5954, 6811, 7990, 655, 2066, 2961, 3934, 5035, 5347, 6872, 8033, 556, 1757, 3094, 3536, 4706, 5636, 6674, 7400, 1067, 1438, 3019, 4053, 5151, 5447, 7106, 7420, 655, 1469, 2546, 4137, 4243, 5607, 7057, 7911, 482, 1988, 2346, 3256, 4468, 5812, 7000, 7733, 856, 1301, 3120, 3552, 4410, 5917, 6691, 7950, 996, 1723, 2294, 3950, 4531, 6105, 6692, 8061, 959, 1833, 2961, 3866, 4276, 5604, 7065, 7676, 216, 1608, 3150, 3752, 5153, 5223, 7154, 8260, 1059, 1770, 3151, 3380, 5128, 5982, 6615, 7386, 262, 1199, 2578, 3376, 4369, 5314, 6286, 7894, 888, 1723, 2578, 3960, 4514, 5205, 6746, 7912, 83, 1199, 2578, 3601, 4738, 6040, 6648, 7366, 571, 1523, 2710, 3777, 4589, 6064, 6486, 8128, 240, 1370, 2554, 3364, 4867, 6026, 6265, 7965, 789, 1851, 3095, 4113, 4717, 6085, 7087, 8261, 878, 2030, 2880, 3994, 4276, 5836, 6308, 7962, 440, 1600, 2165, 3364, 5014, 5978, 6605, 7941, 256, 2032, 3007, 3420, 4398, 6175, 6852, 8081, 256, 2030, 2866, 4041, 4583, 5908, 7082, 7723, 256, 2030, 2992, 3645, 4573, 5908, 7024, 8173, 256, 2030, 2880, 3550, 4536, 6103, 7120, 8266, 256, 2127, 2473, 4096, 4867, 6205, 6909, 8164, 878, 1750, 2340, 3440, 5157, 6205, 6607, 8130, 959, 1797, 3147, 3945, 4549, 6048, 7085, 7918, 676, 1383, 3090, 4067, 4907, 5715, 6682, 8256, 498, 2050, 3088, 3683, 4328, 5477, 6811, 7478, 498, 1156, 2948, 3880, 4650, 5615, 6304, 8146, 314, 1469, 2827, 3875, 4919, 5934, 6941, 7478, 784, 1215, 2966, 3878, 4684, 5361, 6469, 8229, 840, 1469, 2349, 3187, 4420, 5615, 6478, 7999, 150, 1309, 3149, 3858, 5154, 6156, 7047, 8123, 1062, 2070, 2273, 3858, 5154, 5803, 6295, 7954, 1062, 1757, 2864, 3667, 5019, 5512, 7181, 8165, 776, 1512, 2834, 3414, 4391, 5776, 6957, 8210, 610, 1386, 2800, 3713, 5095, 6032, 6393, 7758, 373, 1978, 2941, 3277, 4256, 5905, 6532, 7999, 373, 1463, 2151, 4115, 4555, 5678, 7045, 8267, 1084, 1770, 2151, 3748, 4555, 5301, 6241, 7894, 961, 1736, 2232, 4079, 4993, 6137, 6550, 8034, 776, 1139, 2656, 3773, 4323, 6113, 6828, 7927, 913, 1510, 3061, 3499, 5144, 5557, 6412, 8225, 1038, 1510, 2693, 3936, 4183, 5583, 7165, 7260, 1102, 1886, 3033, 3611, 4539, 5893, 7004, 7646, 317, 1656, 2381, 3671, 4364, 5965, 7217, 8242, 225, 1826, 2941, 3337, 4995, 5353, 6605, 7939, 225, 1826, 2971, 4089, 4297, 5438, 7010, 7279, 225, 2114, 2904, 4103, 4870, 5580, 6740, 7261, 225, 1750, 2830, 3891, 4344, 5548, 6704, 7753, 228, 1851, 2156, 3394, 4580, 5493, 7100, 7929, 240, 1750, 2554, 3595, 4890, 5844, 6677, 7303, 419, 2017, 2659, 3803, 4398, 5515, 6889, 7563, 419, 1304, 2806, 3595, 4555, 5963, 7077, 7677, 789, 1468, 3133, 4153, 4859, 5767, 7207, 7641, 225, 1264, 2473, 3796, 5139, 5550, 6486, 7716, 183, 1851, 2156, 3552, 5097, 5364, 6889, 7831, 617, 1633, 2792, 3277, 4225, 5262, 6963, 7557, 915, 1623, 2833, 3914, 4387, 5677, 6996, 8261, 488, 1623, 2914, 3550, 4890, 6211, 7077, 8147, 488, 1622, 2806, 3825, 4624, 6139, 6794, 8196, 860, 2017, 2806, 3825, 4704, 6139, 6794, 8196, 201, 1622, 2806, 3893, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 5635, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6186, 7124, 8223, 488, 1528, 3065, 3893, 4551, 5612, 6794, 8223, 886, 1752, 2436, 3707, 4646, 5220, 6627, 7785, 866, 2033, 2436, 3448, 4934, 6177, 6581, 7616, 612, 1510, 2346, 3936, 4897, 5367, 6328, 7525, 793, 1653, 3102, 4139, 4872, 5734, 6783, 7669, 840, 1375, 2346, 3525, 4919, 5415, 6224, 8161, 992, 1388, 2926, 3171, 4804, 5719, 7192, 8112, 103, 1821, 2675, 3960, 4437, 5637, 6339, 7625, 288, 2021, 2793, 3595, 4713, 5436, 6776, 7476, 317, 1146, 3147, 3595, 4945, 5360, 6370, 7777, 987, 1116, 2872, 3684, 5182, 5630, 6914, 8046, 216, 1782, 2294, 3904, 4593, 5485, 6848, 7905, 545, 2107, 2667, 3687, 4364, 5433, 7106, 7527, 582, 1116, 2309, 3329, 5004, 6154, 6622, 8048, 986, 1820, 2346, 3300, 4321, 6062, 6314, 8248, 893, 1808, 2309, 4007, 5127, 5874, 6743, 7495, 459, 1708, 2369, 3218, 4421, 6002, 6763, 8205, 487, 1816, 2232, 3498, 4800, 5492, 7165, 7765, 1035, 1561, 2799, 3448, 4604, 5536, 7033, 7481, 831, 1978, 2975, 3487, 5088, 5541, 6741, 7881, 390, 1581, 2754, 3639, 4501, 6201, 7132, 8266, 1090, 1146, 2985, 3487, 4447, 5968, 6935, 7898, 110, 1238, 2136, 3487, 5106, 5840, 7217, 7825, 663, 1992, 2866, 3964, 4215, 5385, 7207, 7290, 1056, 1931, 3006, 3945, 4872, 5834, 6852, 7420, 776, 1915, 2989, 4135, 4994, 5413, 6979, 7591, 113, 1670, 2936, 3991, 5108, 5824, 7232, 8145, 608, 1674, 2559, 3675, 4244, 5958, 7087, 7270, 988, 1531, 2232, 3578, 4788, 5774, 6307, 8211, 876, 1942, 2156, 3292, 4529, 5704, 7067, 7973, 487, 1397, 2355, 3372, 4644, 5643, 6474, 7906, 1024, 1112, 2593, 3341, 4402, 5863, 6735, 7954, 678, 1942, 2453, 4021, 5128, 6142, 6962, 7657, 663, 1570, 2366, 3933, 4214, 5792, 6987, 7887, 859, 1705, 3053, 3873, 5139, 5578, 7017, 7563, 617, 1750, 2833, 3933, 4435, 5296, 7041, 7918, 757, 1570, 2560, 3930, 4638, 6146, 6671, 8261, 118, 1510, 3021, 3827, 4844, 6146, 6607, 7913, 183, 1510, 2970, 3879, 4225, 5677, 6607, 7955, 183, 1958, 3048, 3815, 4733, 5824, 6604, 7664, 183, 1510, 2683, 4171, 4583, 5224, 6605, 7563, 183, 1564, 2340, 4145, 5138, 5610, 7120, 7781, 183, 1750, 3064, 3595, 4916, 5892, 6604, 8130, 256, 1623, 3133, 3352, 4298, 5385, 6584, 8130, 183, 1898, 2970, 4096, 4555, 5218, 7162, 8232, 105, 1706, 2792, 3407, 4890, 5901, 7077, 8261, 555, 1846, 2970, 4113, 4916, 5548, 7152, 8066, 419, 1468, 2941, 4174, 4387, 5493, 6909, 7664, 256, 1695, 3035, 4168, 4583, 5241, 6607, 7485, 183, 1684, 2554, 3928, 4555, 6137, 6607, 7476, 555, 1684, 2560, 3928, 5038, 6137, 6752, 7715, 797, 1684, 2729, 3893, 4704, 5892, 6752, 8147, 860, 2017, 2806, 3825, 4624, 5892, 6794, 7766, 860, 1528, 2806, 3893, 4704, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 5635, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 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, 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, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 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, 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, 65, 48, 5, 76, 69, 30, 5, 28, 14, 51, 5, 64, 52, 57, 52, 47, 5, 30, 23, 54, 5, 31, 16, 5, 52, 20, 55, 5, 54, 33, 63, 56, 5, 51, 16, 54, 14, 52, 5, 53, 39, 30, 5, 44, 54, 5, 43, 35, 5, 20, 54, 76, 35, 30, 5, 62, 63, 11, 42, 63, 34, 64, 5, 16, 54, 66, 45, 52, 5, 64, 17, 53, 5, 43, 17, 54, 30, 63, 16, 30, 78, 5, 17, 75, 5, 77, 11, 63, 30, 78, 5, 16, 76, 39, 3, 945, 1528, 2729, 4071, 4798, 6211, 6589, 8147, 860, 2017, 2806, 3825, 4704, 6139, 6996, 8147, 105, 2127, 2729, 4026, 4918, 5677, 6752, 7476, 183, 2127, 2287, 3815, 4700, 5584, 7098, 8086, 118, 1706, 2880, 3171, 4549, 6110, 6604, 8236, 334, 2088, 2432, 3555, 5053, 6149, 6610, 7664, 183, 1304, 2181, 3595, 4790, 5730, 6371, 7948, 183, 1508, 2432, 3391, 4214, 6182, 6740, 7707, 767, 1773, 2960, 3550, 5007, 5385, 6803, 7764, 335, 1206, 2593, 3918, 5072, 5980, 6816, 7291, 986, 2059, 2453, 4130, 5151, 5587, 7091, 7429, 807, 1762, 2292, 3355, 5040, 6101, 6884, 8254, 150, 1692, 2946, 3375, 4978, 5224, 7041, 7652, 643, 1164, 2924, 3337, 4215, 5609, 6354, 7721, 504, 1363, 2791, 4037, 4690, 5441, 6224, 7762, 386, 1424, 2564, 4047, 4780, 5745, 6704, 8120, 1025, 1562, 3092, 4097, 5040, 6135, 6270, 7677, 678, 1407, 2946, 3886, 4186, 5802, 6734, 7768, 970, 1318, 2492, 3561, 4215, 5836, 7239, 8006, 678, 1548, 2282, 3176, 4379, 5661, 7163, 7843, 643, 2061, 2133, 4006, 4855, 6174, 6350, 8217, 266, 1838, 2234, 3915, 4887, 6006, 6885, 7930, 314, 1655, 2225, 3850, 4834, 5321, 7114, 7263, 725, 1951, 2868, 3287, 4795, 6172, 6736, 7378, 487, 1510, 2267, 3340, 5078, 5543, 6847, 7911, 643, 1286, 2591, 3376, 4615, 5978, 7094, 7397, 512, 1827, 2792, 4166, 4980, 6026, 6809, 8188, 512, 1620, 3144, 3540, 4489, 5904, 6286, 8093, 512, 2041, 3008, 3710, 5061, 5942, 7077, 8195, 308, 2068, 2895, 4114, 5080, 5767, 7085, 7876, 684, 1847, 2980, 3982, 4822, 5534, 7006, 7949, 804, 2068, 2947, 3982, 4630, 6146, 6809, 7806, 804, 2125, 3007, 4071, 4551, 6205, 7201, 7723, 512, 1675, 2924, 4108, 5061, 5630, 6809, 8267, 893, 1821, 2484, 3603, 4834, 5715, 6838, 7303, 1017, 1651, 2365, 3584, 5107, 5668, 7028, 7442, 730, 1346, 2294, 3238, 5057, 5279, 6835, 7942, 179, 1794, 2271, 3303, 4823, 5982, 6965, 8182, 966, 2033, 2465, 3651, 4903, 5787, 6701, 7654, 326, 1520, 2343, 3814, 4664, 5396, 6949, 7986, 884, 2118, 2569, 3261, 4701, 5423, 6663, 7770, 868, 2118, 2816, 3354, 4604, 6192, 6835, 7625, 465, 2100, 2221, 3243, 4604, 6216, 7133, 7717, 923, 1575, 2165, 3316, 4267, 5540, 6237, 7477, 804, 1237, 2669, 3940, 4953, 5825, 7095, 8248, 552, 1750, 2839, 4115, 4549, 5407, 7217, 8193, 935, 2106, 2981, 3908, 4980, 5210, 6630, 8236, 552, 1750, 2586, 4145, 4630, 6063, 6810, 8195, 984, 1467, 2899, 3827, 4276, 5439, 6809, 7870, 757, 1964, 3062, 3803, 4918, 5630, 6515, 8039, 256, 1876, 2349, 3994, 4555, 5935, 6984, 7917, 256, 1937, 3062, 3891, 4888, 6195, 6840, 7303, 568, 2127, 3062, 3838, 5081, 5719, 7152, 7660, 568, 2127, 3062, 3969, 5138, 5515, 6607, 7677, 225, 1570, 2792, 3723, 4374, 5678, 6371, 7477, 225, 1736, 2554, 3681, 4918, 5837, 6840, 7750, 225, 2111, 2792, 3723, 4526, 5678, 7069, 8262, 225, 2088, 2918, 3376, 4398, 6117, 6909, 7844, 518, 2061, 2959, 3550, 4398, 6222, 7091, 7473, 240, 1752, 3068, 4071, 4859, 6182, 7043, 7865, 859, 1851, 2946, 4093, 4555, 5352, 6668, 7676, 617, 1623, 3133, 3803, 5135, 5296, 7201, 8266, 899, 1963, 2946, 3990, 4980, 5612, 6338, 8061, 160, 1858, 2941, 3934, 4549, 5586, 6589, 7707, 160, 2073, 2655, 3649, 4825, 5470, 6820, 7826, 160, 1786, 2658, 4163, 4379, 6020, 6878, 7559, 160, 1106, 2974, 3564, 4883, 5893, 7218, 8132, 1016, 1125, 2175, 4154, 4549, 5804, 6770, 7381, 992, 1499, 2175, 3274, 5005, 5700, 7156, 7361, 992, 1306, 2173, 3504, 4935, 6113, 7156, 7466, 888, 1125, 2716, 3496, 4399, 6210, 6487, 8013, 535, 1199, 2162, 3417, 4442, 5249, 6767, 7435, 1029, 1350, 2667, 3668, 4725, 5410, 6563, 7405, 104, 1389, 2667, 3517, 4417, 5473, 6935, 7260, 150, 2050, 2383, 3991, 4298, 5288, 6561, 7395, 504, 1674, 2373, 3623, 4772, 5833, 6623, 7963, 1029, 1838, 2725, 3868, 5042, 5936, 6354, 7408, 887, 1594, 2137, 3167, 4379, 5851, 6623, 7516, 150, 1838, 2871, 3273, 4410, 6187, 6728, 8218, 504, 1812, 2137, 3940, 4381, 5616, 6869, 7318, 643, 1838, 2372, 3398, 5066, 5233, 6730, 7740, 150, 1217, 2568, 4047, 5179, 5264, 7184, 7842, 504, 1592, 2894, 3454, 5030, 5538, 6730, 8181, 386, 1469, 2956, 4096, 5030, 5568, 7193, 7547, 504, 1469, 3091, 3667, 4496, 5681, 7177, 8017, 643, 1469, 3091, 4152, 4994, 5280, 6830, 7954, 150, 1468, 2966, 3623, 4978, 5775, 6941, 7898, 643, 1818, 2490, 3630, 4687, 5866, 7078, 7976, 150, 1110, 2490, 3577, 4211, 6203, 7023, 8261, 643, 1469, 2492, 3361, 4542, 5305, 6844, 7424, 1081, 1469, 2167, 3750, 4994, 5346, 7017, 7383, 940, 2066, 2493, 3191, 4576, 5948, 6623, 7831, 1081, 1974, 2167, 3962, 4781, 5640, 6986, 7764, 940, 1974, 2732, 4093, 4583, 5850, 6623, 7806, 1081, 1407, 3092, 3697, 4902, 6107, 7103, 7768, 940, 1141, 3144, 3471, 4813, 5462, 6710, 8085, 1101, 1510, 2638, 3356, 4421, 5250, 6910, 7248, 632, 1286, 2725, 4037, 4959, 5357, 6960, 7350, 725, 1164, 2353, 3960, 5198, 5745, 6265, 7658, 1101, 1948, 2355, 3363, 4546, 5415, 6467, 7248, 986, 1779, 2355, 3363, 5040, 5257, 7043, 7451, 1025, 1164, 2369, 3579, 5031, 6023, 6283, 7902, 103, 1441, 2531, 3943, 4337, 5298, 6446, 7793, 103, 1167, 2655, 4037, 4259, 5325, 6804, 7547, 103, 1948, 2559, 3960, 4360, 5706, 7043, 7367, 103, 1779, 2783, 3497, 5015, 5792, 6800, 7720, 304, 1286, 2842, 3904, 5083, 5764, 7120, 7919, 684, 2000, 2783, 3873, 4890, 5705, 6677, 7641, 304, 2063, 3021, 4114, 5061, 5981, 7010, 8076, 804, 1791, 2783, 3886, 4888, 5968, 6979, 8083, 512, 2000, 3007, 4145, 5104, 5694, 7201, 8260, 308, 1998, 3064, 4145, 4822, 5942, 6734, 7631, 757, 1503, 2783, 4007, 4720, 5935, 7232, 7476, 189, 1924, 2453, 4045, 4635, 5656, 6884, 8046, 814, 1653, 2736, 4137, 4228, 5387, 7243, 7943, 339, 1434, 2568, 3287, 4800, 5734, 6932, 7709, 296, 1653, 2725, 3169, 4819, 5955, 7231, 8181, 873, 1818, 2309, 4072, 4238, 5575, 7129, 8193, 320, 1346, 2956, 3957, 4308, 6050, 6663, 8026, 763, 2061, 2495, 3175, 4410, 5589, 6627, 7767, 508, 2055, 2822, 3796, 4864, 5611, 6718, 8197, 508, 1682, 2830, 4076, 4874, 5799, 6497, 7736, 508, 2033, 2643, 3661, 4330, 5971, 6295, 8248, 508, 1520, 3138, 3524, 4495, 5202, 7097, 7273, 508, 1140, 2553, 3661, 4364, 6065, 6470, 7853, 691, 1151, 2248, 3394, 4928, 5744, 6869, 7367, 923, 1404, 2194, 3486, 4414, 5727, 6493, 7402, 575, 1303, 3040, 3702, 4414, 5202, 7059, 7473, 386, 1183, 2189, 3263, 4828, 5348, 6308, 8252, 504, 1183, 2445, 3855, 4984, 5964, 7085, 7685, 643, 1947, 2586, 3394, 4729, 6118, 6415, 7263, 1081, 1783, 2137, 3557, 5026, 5559, 6782, 7582, 1025, 1848, 2137, 3873, 4319, 6064, 6324, 8107, 386, 1984, 2189, 3918, 4795, 5600, 6671, 8229, 504, 1782, 2189, 3684, 4912, 5337, 6874, 8054, 940, 1675, 2189, 3842, 4334, 5413, 6918, 7557, 678, 1797, 3033, 3352, 4859, 6181, 6979, 8170, 288, 1847, 3092, 3771, 4533, 5765, 7164, 7508, 684, 2000, 3143, 4171, 5080, 5413, 6677, 8034, 684, 2000, 2860, 3990, 4782, 6120, 6988, 7768, 405, 1833, 2352, 3982, 4179, 5910, 6604, 8076, 881, 1199, 2863, 4097, 4348, 5413, 7197, 8114, 845, 1542, 3066, 3198, 4333, 5447, 7186, 7740, 736, 1129, 2887, 3273, 4495, 5585, 7140, 7769, 917, 2048, 2173, 4016, 5031, 6167, 6404, 7873, 1029, 1969, 2173, 4016, 4364, 5615, 6887, 7777, 465, 1447, 2173, 3610, 4604, 6068, 6700, 8096, 610, 1740, 2660, 3497, 5041, 6010, 6267, 8125, 1025, 1185, 2858, 3556, 4321, 5777, 6225, 7939, 643, 2079, 3040, 3736, 4321, 5469, 6626, 7879, 104, 1440, 2530, 3648, 4659, 5585, 6623, 7810, 1090, 2050, 2503, 4153, 4321, 5586, 6477, 8041, 887, 1335, 2970, 3934, 5080, 5611, 6456, 7962, 104, 1633, 2677, 4171, 5032, 5221, 6820, 8265, 1005, 2008, 3092, 3755, 4808, 5610, 6941, 7657, 1001, 1350, 2173, 3381, 5083, 5673, 7237, 7674, 1001, 1106, 2173, 3568, 5145, 6075, 6295, 8157, 1001, 1843, 3090, 3205, 4291, 6002, 6773, 7986, 1063, 1478, 2636, 3856, 5081, 5469, 6562, 8193, 1022, 1106, 2653, 3635, 4722, 6077, 6651, 7598, 1008, 1248, 2231, 3999, 4470, 5650, 6436, 7710, 1030, 1106, 2716, 3388, 4310, 5988, 6612, 7933, 1030, 1499, 2286, 3165, 4875, 5564, 6950, 8113, 1030, 1633, 2495, 3584, 4674, 5911, 6936, 7795, 150, 2100, 2409, 3953, 5114, 6053, 6782, 7755, 1063, 2026, 2476, 3847, 4428, 6213, 6580, 7917, 738, 2026, 2441, 3238, 4658, 5633, 6413, 8099, 1025, 1179, 2224, 3374, 5145, 6217, 7076, 7312, 1025, 1376, 2965, 3371, 4796, 5387, 6860, 7604, 643, 1179, 3078, 3975, 5138, 5439, 6668, 8031, 887, 1871, 2750, 3699, 4592, 5294, 6734, 7813, 150, 1633, 2801, 3201, 5079, 6087, 6565, 7488, 610, 1782, 2996, 4078, 5061, 5694, 6809, 7768, 1025, 1924, 2503, 3540, 4918, 5413, 6515, 7527, 1025, 1858, 2970, 3440, 5115, 5883, 7218, 7991, 1025, 1858, 2591, 4166, 4536, 5797, 6710, 8266, 1025, 1141, 2444, 3540, 5075, 5678, 6774, 8146, 1025, 1858, 2591, 4166, 4822, 5981, 7004, 8093, 1025, 1858, 2330, 3390, 4615, 6085, 6809, 7313, 955, 1791, 2946, 3885, 4942, 5548, 7023, 8195, 955, 1244, 2480, 3838, 4305, 5765, 6850, 8083, 887, 1255, 2484, 3593, 5129, 6195, 7201, 7421, 1090, 1335, 3064, 4145, 4954, 6175, 7030, 8185, 1025, 1717, 2167, 4145, 5165, 5929, 6776, 8266, 610, 1306, 3080, 3917, 4343, 5586, 7239, 7846, 887, 1116, 3042, 4078, 4748, 6048, 6830, 7927, 221, 1703, 2696, 3486, 4800, 5656, 6970, 7358, 774, 1349, 2248, 4072, 4709, 5316, 7022, 8234, 884, 1325, 2487, 3697, 4661, 5313, 7123, 7547, 459, 1193, 2869, 3928, 4450, 5648, 6898, 7466, 459, 1349, 2769, 3899, 4797, 5298, 6814, 7261, 910, 1139, 2361, 4056, 5031, 5304, 7003, 8268, 873, 2117, 2869, 3404, 4818, 5304, 6783, 7367, 242, 1850, 2309, 3568, 4364, 5776, 7042, 7997, 242, 1934, 2355, 3193, 4961, 6206, 6304, 7902, 691, 1934, 3080, 4059, 4256, 6034, 7121, 7531, 536, 1408, 2951, 4003, 4554, 5410, 6252, 7277, 494, 1512, 2877, 4003, 4799, 6142, 6865, 7629, 1016, 1224, 2905, 4015, 4799, 5441, 6458, 7693, 1016, 1224, 2511, 4037, 4508, 6050, 6316, 7519, 344, 1700, 2951, 3902, 5073, 6213, 7075, 8089, 1016, 1893, 2878, 3648, 4187, 5965, 7144, 8085, 1016, 1930, 2878, 3948, 4731, 5265, 6328, 7394, 1016, 1930, 2878, 3471, 4575, 6077, 7147, 8188, 1016, 1930, 2905, 3728, 5138, 5700, 7051, 7636, 888, 1865, 2716, 3276, 4536, 5796, 6813, 7648, 1022, 2070, 2474, 3937, 5019, 5716, 6325, 7839, 1022, 1825, 2515, 3960, 5005, 6005, 6854, 7795, 1001, 1660, 3151, 3649, 4358, 5653, 6825, 8081, 1025, 1855, 2996, 3427, 4901, 5397, 6792, 7827, 643, 1897, 2923, 4138, 5142, 5834, 7205, 8255, 887, 2035, 2167, 3890, 5148, 5678, 6734, 7290, 1081, 2035, 2993, 4074, 4925, 5850, 7069, 7584, 684, 1939, 2326, 4085, 5165, 5850, 6540, 7876, 337, 1874, 2880, 3671, 4704, 6195, 6996, 8147, 984, 1700, 3144, 4150, 5060, 5378, 6972, 8260, 475, 1998, 2860, 3440, 4549, 5968, 6786, 8083, 579, 2088, 3046, 3603, 4344, 5700, 6715, 7891, 256, 1176, 2455, 3391, 4470, 6149, 6719, 8179, 489, 1510, 2596, 3515, 4890, 5587, 6607, 7715, 403, 1281, 3075, 4149, 4225, 6172, 7047, 7686, 685, 1777, 2775, 3533, 4762, 5968, 7222, 7385, 1101, 1982, 2378, 3928, 4588, 5702, 7073, 7846, 725, 1794, 2741, 3295, 4421, 5413, 6890, 7602, 887, 1758, 2678, 3727, 4256, 5254, 6224, 7872, 887, 1255, 2167, 3920, 4430, 5761, 6283, 7718, 1081, 1782, 2868, 3370, 5166, 5202, 6725, 7716, 610, 1773, 2750, 3755, 5020, 6075, 6410, 8185, 1025, 1881, 2750, 3440, 4308, 5944, 6810, 7508, 610, 1809, 2455, 3828, 4622, 6151, 6632, 7715, 610, 1773, 2750, 3917, 5187, 5730, 6760, 7846, 610, 1782, 2868, 3370, 4912, 5968, 7149, 7870, 1081, 1238, 2232, 3671, 4622, 5983, 6852, 8252, 465, 1974, 2261, 3442, 4539, 5270, 6257, 8213, 1070, 1346, 2750, 3604, 5031, 6019, 6456, 8133, 1041, 1940, 2725, 4037, 4543, 5731, 6890, 8235, 242, 1140, 3018, 3448, 4760, 5889, 6592, 7967, 886, 1703, 2346, 3386, 5023, 5414, 6480, 8127, 873, 1309, 2678, 3329, 4541, 5453, 6255, 7360, 886, 1140, 2917, 4026, 4228, 6114, 6348, 8207, 1052, 1270, 2725, 3770, 4339, 6178, 6473, 7962, 996, 1154, 3090, 3229, 4960, 6044, 6598, 8180, 319, 1737, 2271, 4074, 4916, 5935, 6628, 7369, 296, 1140, 2487, 4072, 4563, 5979, 6820, 7985, 581, 1633, 2343, 3759, 4602, 5771, 7041, 8108, 192, 1885, 2750, 3920, 5188, 5526, 6984, 8033, 691, 1702, 2871, 3648, 5155, 5291, 6573, 8191, 572, 1904, 2465, 4007, 4916, 5933, 7163, 7488, 192, 1326, 2627, 3245, 4604, 6145, 6793, 7948, 192, 1326, 2166, 3245, 4364, 6010, 6408, 7722, 192, 1596, 2156, 4004, 4945, 5791, 6978, 7955, 371, 1805, 2293, 3582, 4298, 6087, 6550, 7579, 482, 1786, 3061, 3964, 4298, 5403, 6249, 7349, 482, 1786, 3070, 3356, 4437, 5212, 6569, 7473, 482, 1658, 3091, 4072, 4514, 6145, 7169, 8230, 100, 1697, 2542, 3943, 4298, 5876, 6478, 7748, 738, 1653, 2814, 3702, 4760, 5933, 7088, 7625, 1030, 1682, 2265, 3356, 4806, 6181, 6847, 7381, 961, 1679, 2748, 4073, 4815, 5603, 7072, 7859, 738, 1524, 3139, 3398, 4396, 5793, 6286, 7996, 1001, 1833, 2274, 3568, 5041, 5512, 6697, 7610, 1038, 1524, 2576, 3537, 4541, 5272, 7055, 7765, 1016, 1740, 3046, 3421, 4738, 5714, 7138, 7331, 802, 1524, 2175, 3419, 4429, 5876, 7234, 7793, 508, 2048, 2175, 4163, 4588, 5801, 6603, 8201, 693, 1524, 2553, 4163, 4752, 6118, 7158, 7265, 917, 1786, 3078, 3564, 4955, 6058, 6408, 7384, 923, 2120, 2868, 3497, 4800, 5598, 6522, 7982, 91, 1104, 2748, 3601, 5168, 5353, 7184, 7611, 390, 2065, 2340, 4009, 5138, 6175, 6935, 7776, 308, 2032, 2900, 3361, 4554, 5385, 7002, 7810, 105, 2106, 2730, 4089, 5007, 6131, 6256, 8262, 859, 1971, 2880, 3777, 5040, 5752, 6688, 7291, 555, 2127, 2806, 3914, 5135, 5901, 7091, 8147, 555, 2017, 3021, 3891, 4512, 5677, 7132, 8080, 186, 1648, 2806, 3891, 4512, 5534, 6996, 8076, 488, 1622, 2914, 3893, 4624, 6139, 6752, 7715, 555, 1648, 2858, 3827, 5138, 5678, 7090, 7865, 555, 1750, 2833, 4071, 4512, 5677, 7124, 7715, 555, 1648, 3021, 3374, 5159, 5515, 7124, 7865, 915, 1648, 2970, 3914, 4798, 5811, 7077, 8223, 915, 2017, 2833, 3391, 4387, 5677, 6996, 8261, 915, 2017, 2970, 3893, 4681, 5811, 6584, 7949, 915, 2017, 2858, 3891, 4624, 5635, 7077, 8080, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2806, 3825, 4704, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1528, 2164, 3893, 4624, 5635, 7124, 8196, 223, 1331, 2838, 3945, 5022, 5761, 7006, 8083, 752, 1778, 2429, 3983, 4630, 6146, 7239, 7643, 1035, 1782, 2429, 3731, 4596, 5595, 7162, 8179, 1035, 1782, 2429, 3731, 4764, 6165, 7099, 8205, 752, 1993, 2440, 3410, 5115, 5824, 7139, 7846, 752, 1770, 2136, 3271, 5122, 6204, 6774, 8077, 650, 1350, 2440, 3999, 5075, 5695, 6377, 7537, 160, 1663, 2440, 3660, 5115, 5425, 6507, 7584, 536, 1139, 2564, 3170, 4762, 5491, 6478, 7908, 766, 1586, 2987, 3759, 4275, 5993, 7140, 8171, 326, 1669, 2817, 3265, 5142, 5810, 6773, 7577, 374, 1118, 2309, 3387, 5142, 5800, 6242, 7501, 988, 1561, 2309, 3421, 4737, 5940, 6945, 8046, 839, 1289, 2751, 3337, 5109, 5396, 6774, 7303, 881, 1692, 2222, 3337, 5101, 5827, 6768, 7881, 902, 1289, 2877, 3239, 4785, 5710, 7004, 7994, 807, 1773, 2688, 3442, 5075, 5223, 7215, 7869, 845, 1118, 2506, 4072, 4412, 6119, 6995, 7436, 487, 1140, 2697, 3171, 4448, 6028, 6984, 7773, 986, 1653, 2221, 3340, 4785, 5776, 6283, 8140, 103, 1335, 2644, 3812, 4495, 5837, 6563, 7898, 160, 1958, 3062, 3455, 4810, 6141, 6611, 8222, 844, 1125, 2544, 3697, 4804, 5474, 6859, 7574, 536, 1633, 2688, 3851, 4604, 5702, 6478, 7811, 536, 1286, 2688, 3486, 5069, 5286, 7187, 7712, 536, 1636, 2366, 3596, 4239, 5659, 6478, 8044, 887, 1930, 3032, 3610, 4939, 5223, 7065, 7976, 465, 1290, 3032, 3340, 4598, 5445, 6768, 8266, 844, 1993, 3046, 4074, 4384, 6181, 6903, 7532, 844, 1196, 3101, 4074, 4598, 6118, 6954, 7705, 390, 1196, 2232, 3891, 5052, 5963, 6810, 7557, 1035, 1600, 2709, 3407, 4849, 5942, 7001, 7962, 952, 1700, 2941, 3922, 4622, 5218, 6885, 7722, 572, 1581, 2343, 3298, 4856, 6059, 6701, 7483, 319, 2111, 2724, 3214, 4350, 5872, 7048, 7650, 319, 1703, 2848, 3766, 4437, 6010, 6569, 7904, 536, 1934, 2163, 3455, 4364, 5745, 6849, 7620, 536, 1408, 2173, 4072, 4883, 5989, 6883, 7256, 536, 1151, 2268, 4072, 4332, 5491, 6478, 7758, 536, 1512, 2951, 3354, 4332, 6167, 6254, 8104, 465, 1512, 2951, 3584, 4662, 6183, 6352, 7772, 150, 1338, 2951, 3821, 4876, 5814, 6924, 7518, 1008, 1250, 2951, 3999, 5175, 5621, 6878, 8165, 1016, 1306, 2424, 3939, 5198, 6044, 7214, 7480, 344, 1396, 2951, 3277, 4444, 5848, 6254, 8034, 277, 1332, 3054, 3313, 4483, 5381, 6657, 7850, 876, 1658, 2327, 3792, 4911, 5880, 7214, 7524, 803, 1112, 2740, 4037, 4499, 5321, 6644, 7620, 738, 1653, 3003, 3560, 4396, 5729, 6716, 7815, 774, 1582, 2951, 3632, 4639, 5729, 7059, 8035, 581, 1843, 3090, 3408, 4755, 5588, 6328, 7274, 1030, 1248, 2446, 3288, 4819, 5819, 7174, 8026, 494, 1248, 2130, 4088, 4678, 5358, 6981, 7376, 738, 2075, 2286, 3404, 4803, 5585, 6992, 8205, 581, 1897, 2951, 3736, 4550, 5905, 6807, 7996, 814, 1641, 3049, 3778, 4531, 6202, 6667, 8128, 271, 1582, 2171, 3211, 4607, 6020, 6874, 7649, 993, 1248, 2613, 3223, 5109, 5891, 6535, 7682, 1025, 1462, 2741, 3517, 4738, 5614, 6784, 7967, 641, 1915, 2659, 3929, 5164, 5785, 6952, 7521, 1025, 1581, 2129, 3152, 5165, 5802, 6710, 7901, 610, 1370, 2740, 3201, 4592, 5413, 6726, 8208, 610, 2001, 2610, 3826, 5106, 5216, 6612, 7631, 610, 1561, 2163, 3201, 5088, 6171, 6348, 7476, 1025, 1804, 2991, 3928, 4980, 5610, 6771, 7996, 1025, 1901, 2381, 3833, 4774, 5515, 6480, 7648, 643, 2035, 2554, 3175, 5020, 6222, 6755, 7641, 386, 1469, 2422, 3456, 5199, 5993, 6660, 7296, 504, 1469, 3005, 3653, 5030, 5664, 7241, 8205, 784, 1788, 2137, 4101, 4572, 5899, 6421, 7873, 1101, 1655, 2901, 3233, 4541, 5824, 6760, 8170, 725, 1794, 2564, 3573, 4334, 5276, 6591, 8132, 684, 1424, 2960, 3983, 4782, 5942, 7120, 7776, 684, 1682, 3053, 4085, 4870, 6051, 7132, 7260, 804, 1562, 2991, 3929, 4630, 5534, 6979, 8260, 510, 2068, 3064, 3516, 5139, 6131, 6515, 8267, 510, 2001, 2164, 3645, 4704, 5534, 7168, 8076, 510, 2068, 3043, 4166, 4888, 5883, 7010, 7570, 956, 1622, 3043, 3188, 5080, 5832, 7239, 8267, 811, 1750, 2340, 3710, 4366, 6051, 6671, 7476, 541, 2088, 2221, 4170, 4877, 5612, 6898, 7717, 405, 1833, 2258, 4151, 4954, 5920, 6291, 8066, 802, 1324, 3060, 3429, 5127, 5731, 6796, 7807, 803, 1783, 2951, 3802, 4371, 5649, 7050, 7265, 1029, 1742, 2776, 4037, 4286, 6196, 7206, 7400, 768, 1707, 2951, 4044, 4729, 6098, 6995, 7279, 536, 1582, 2141, 3712, 4425, 5615, 7112, 7699, 673, 1582, 3101, 3972, 4911, 5867, 6502, 7317, 1063, 2053, 2275, 3446, 4790, 5673, 6795, 8157, 887, 1679, 2175, 4072, 4589, 5536, 6784, 7545, 104, 1838, 2559, 4015, 4991, 6044, 7100, 7676, 955, 2091, 2387, 3602, 4470, 5923, 6592, 8145, 211, 1831, 2860, 3967, 4630, 5832, 6852, 7981, 804, 1581, 3060, 3361, 4554, 5832, 7163, 7557, 663, 1750, 2860, 4135, 5183, 5204, 6613, 8076, 779, 1933, 2860, 4085, 4343, 5360, 6668, 7664, 110, 1833, 2975, 3994, 4849, 5953, 6784, 7995, 1035, 2024, 2771, 3918, 4641, 6217, 7069, 7887, 802, 1118, 2345, 3396, 4651, 5269, 6480, 7624, 814, 2079, 2440, 3850, 5096, 5980, 6619, 7574, 665, 1141, 2636, 3434, 4795, 6170, 7166, 8173, 137, 1758, 2848, 3421, 5193, 5224, 6802, 8137, 876, 1653, 3055, 3605, 4595, 6002, 6493, 7481, 996, 1653, 2987, 4007, 4962, 5428, 6498, 7271, 996, 1553, 2987, 4037, 4803, 5983, 6535, 7725, 996, 1306, 2987, 3309, 4636, 6220, 6910, 7261, 806, 1567, 2271, 4037, 5001, 5689, 6234, 8046, 715, 2006, 3101, 3372, 4589, 5880, 6726, 7442, 225, 2041, 2989, 3723, 5159, 5954, 7094, 8164, 225, 2060, 2356, 3562, 4863, 5767, 7160, 7908, 195, 2002, 2951, 4047, 5088, 5723, 7246, 7563, 518, 1756, 2941, 3540, 4709, 5378, 6884, 8098, 654, 1564, 2791, 3605, 5197, 5219, 7069, 7563, 654, 2111, 3147, 3723, 4580, 6195, 7146, 8262, 518, 2127, 2554, 3595, 5007, 5677, 6338, 7602, 195, 2061, 2221, 3891, 4611, 5296, 7160, 7732, 225, 1756, 2729, 3376, 4737, 5514, 6265, 8266, 228, 1345, 2959, 4111, 5168, 5344, 6786, 7865, 256, 1826, 2654, 3827, 5168, 6085, 7047, 7831, 555, 1528, 2858, 3595, 4888, 5515, 7132, 7664, 419, 2017, 3095, 3803, 4329, 5981, 6612, 8260, 915, 1622, 2806, 3550, 4287, 5515, 7132, 7716, 419, 2017, 3065, 3595, 4859, 5241, 6338, 7715, 105, 1750, 3021, 3550, 4798, 5610, 6612, 8147, 915, 1974, 2833, 4071, 5120, 6081, 6486, 7715, 555, 1648, 2970, 3827, 5138, 5677, 6291, 7485, 555, 1147, 2970, 3851, 4622, 5515, 7129, 7927, 555, 1648, 3021, 4068, 4512, 5677, 7129, 8261, 419, 1648, 3147, 3595, 4512, 6137, 6338, 7716, 915, 1528, 3021, 3893, 4512, 5677, 6996, 7715, 555, 1974, 3021, 3595, 5079, 6137, 6338, 7715, 555, 1648, 2164, 3391, 4877, 5550, 6612, 7865, 915, 1528, 2858, 3595, 4387, 5515, 6752, 7766, 555, 1648, 2833, 3374, 5138, 5515, 7120, 7865, 915, 1528, 3021, 3391, 4387, 5677, 6996, 7715, 488, 2017, 3117, 3367, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 1622, 2164, 3893, 4512, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 1648, 2806, 3893, 4512, 6139, 7124, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 6794, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2806, 3825, 4798, 6081, 6794, 7766, 337, 2073, 2957, 4113, 4822, 5635, 6688, 7723, 440, 1972, 2593, 4135, 5085, 6085, 6750, 8236, 408, 1407, 2971, 3332, 4533, 6088, 7005, 7790, 1003, 1151, 2667, 3686, 4547, 6113, 7117, 7810, 1098, 1346, 2141, 3251, 5165, 5200, 6784, 7826, 692, 2047, 2959, 3493, 4576, 5778, 6772, 8235, 216, 1668, 2895, 3955, 5106, 6166, 7046, 7421, 401, 1562, 2629, 3886, 4981, 5694, 7222, 8010, 390, 1233, 2560, 4011, 4622, 5216, 6979, 7865, 804, 2073, 3095, 3371, 4828, 5981, 7006, 7838, 914, 1847, 3043, 3982, 4630, 5241, 6852, 8147, 195, 1593, 2886, 3356, 4638, 5811, 7082, 7574, 195, 2127, 2316, 4166, 4918, 5901, 6579, 8034, 183, 1147, 2210, 3407, 4555, 6048, 6732, 7298, 767, 1736, 2826, 3470, 4982, 5665, 6270, 7908, 802, 1311, 3097, 3155, 4816, 5390, 7000, 7811, 1024, 1498, 2156, 3466, 4901, 5221, 6605, 8017, 938, 1509, 2579, 3511, 4705, 5589, 6470, 7660, 981, 1463, 2995, 3511, 4669, 5204, 6754, 7800, 1024, 1723, 2346, 3515, 4943, 5506, 7158, 7263, 1035, 1596, 2247, 3592, 4439, 5778, 6944, 8201, 401, 1986, 2480, 3592, 4561, 5745, 7047, 8019, 715, 1508, 2579, 3776, 5127, 5296, 7127, 8137, 195, 2091, 2974, 4015, 4807, 6122, 6365, 8130, 195, 1597, 2579, 4015, 5079, 5908, 6241, 7367, 654, 2060, 2718, 3723, 4536, 5223, 6551, 8151, 518, 1961, 2942, 3394, 5127, 5837, 7006, 7664, 518, 1756, 2340, 3376, 4622, 5296, 6632, 7918, 568, 1961, 3064, 3674, 4918, 5678, 6291, 7494, 859, 1961, 2792, 3231, 5138, 5963, 6996, 8061, 391, 1563, 2798, 4037, 4580, 5677, 6507, 8266, 761, 1346, 2240, 3216, 5186, 5320, 6676, 7841, 547, 1843, 2636, 3826, 4176, 6106, 6934, 7743, 547, 1407, 2393, 3869, 4210, 5345, 6871, 7521, 401, 1833, 2421, 3671, 4869, 5571, 6581, 7957, 160, 1924, 2167, 3674, 5169, 5899, 7069, 7720, 304, 1791, 3008, 4150, 5060, 6205, 6709, 7264, 1037, 1587, 2991, 4011, 4276, 5612, 7084, 7806, 709, 1218, 3022, 3987, 5159, 6128, 6410, 7510, 450, 1540, 2391, 3175, 4782, 5865, 6302, 7949, 1015, 1503, 2729, 3984, 4859, 5994, 6824, 7915, 1015, 1503, 2946, 3681, 4324, 5767, 7023, 8261, 1015, 2032, 2554, 3873, 5139, 5746, 6953, 7485, 1015, 1945, 2975, 4083, 4335, 5966, 7239, 7768, 959, 1675, 3150, 3975, 4324, 6087, 6685, 8213, 1033, 1503, 2598, 3756, 5140, 5223, 6529, 8185, 1098, 1183, 2385, 3965, 4653, 5376, 6680, 7583, 234, 1183, 2134, 3970, 4389, 6060, 6919, 8026, 402, 1503, 2796, 3981, 4448, 5579, 6408, 8152, 480, 1770, 2869, 3554, 5014, 5743, 6557, 7681, 335, 2091, 2842, 4004, 4882, 6061, 6453, 7574, 401, 1446, 2783, 3575, 5061, 6123, 6560, 7513, 216, 2059, 2754, 3511, 4725, 6119, 6734, 7762, 731, 1137, 2925, 4082, 4512, 5676, 6811, 7959, 216, 1778, 2925, 3206, 4512, 5565, 6809, 7260, 678, 1776, 2564, 3596, 4980, 5663, 6630, 8209, 678, 1705, 2858, 3840, 4602, 6051, 6677, 7887, 678, 1776, 2564, 3188, 4829, 5548, 6996, 8267, 678, 2073, 2677, 4171, 4825, 5981, 6830, 7922, 942, 1596, 3007, 4004, 4877, 5836, 7163, 7965, 1102, 1886, 3026, 3550, 5116, 6163, 6350, 8262, 938, 1736, 2633, 3575, 4606, 5654, 7132, 8005, 981, 1586, 2502, 3459, 4855, 6050, 6559, 8046, 1088, 2095, 2239, 3641, 4717, 5397, 6262, 7386, 987, 1496, 2946, 3710, 5147, 6125, 6262, 7451, 356, 1830, 2783, 3277, 5183, 5548, 6612, 7664, 684, 1794, 3144, 4093, 5159, 5515, 6671, 7806, 308, 1421, 2783, 3420, 4912, 5500, 6668, 7865, 308, 1851, 3135, 3533, 4859, 5389, 6889, 8209, 789, 1467, 2924, 4113, 4770, 5493, 6677, 7631, 256, 1915, 3135, 3945, 4549, 5892, 6668, 8130, 195, 1363, 2554, 3886, 4716, 5296, 6604, 7906, 654, 1345, 2783, 3413, 4795, 6103, 6715, 8130, 317, 1717, 2875, 3770, 4727, 6001, 7043, 7677, 1033, 2111, 2565, 3894, 5151, 6070, 6309, 7876, 692, 1982, 2469, 3981, 4503, 5823, 6283, 7737, 234, 1496, 2581, 4037, 4743, 5993, 6430, 7950, 1101, 1865, 3001, 4066, 4678, 5374, 6528, 8210, 684, 1682, 2727, 4005, 4801, 5678, 7017, 8061, 288, 1407, 2980, 3188, 5183, 5630, 7239, 7723, 684, 1467, 3135, 3710, 5169, 6085, 6338, 8237, 684, 1467, 3095, 3983, 5159, 5378, 6566, 8083, 684, 1797, 2957, 3983, 4888, 5832, 6972, 7720, 804, 1206, 3128, 4071, 4337, 6103, 7010, 8083, 317, 2125, 3053, 4094, 4700, 5830, 6224, 7908, 613, 1186, 2454, 3842, 5095, 5276, 6301, 7920, 103, 1439, 2701, 3218, 5020, 5429, 7047, 7367, 1033, 1708, 2874, 4057, 4350, 5730, 6663, 7887, 386, 1692, 2918, 3980, 4906, 6208, 6923, 7800, 266, 1561, 2987, 3754, 5138, 5978, 6901, 8149, 888, 1794, 2987, 3915, 4282, 6128, 6772, 7954, 803, 1507, 2189, 3770, 5103, 5714, 7038, 7899, 333, 1596, 2248, 3601, 4812, 6122, 6244, 7564, 100, 1458, 2639, 4158, 4848, 5311, 7154, 7622, 100, 1316, 2239, 3592, 4581, 6107, 6837, 8031, 100, 1982, 2951, 3652, 5141, 6141, 7053, 7519, 738, 1205, 2423, 3894, 4257, 5208, 6910, 7538, 482, 1205, 2687, 3802, 4442, 5240, 7089, 8234, 1063, 1407, 2951, 3912, 4499, 5654, 6921, 7840, 100, 1948, 2984, 3448, 4338, 5551, 7213, 8123, 100, 1388, 2361, 4053, 4928, 5381, 6736, 7640, 942, 1408, 2661, 3283, 4829, 5709, 7016, 7559, 1057, 1865, 3053, 3740, 4499, 5983, 6269, 8031, 1025, 1510, 2666, 3511, 4374, 5676, 6674, 7582, 643, 2033, 3055, 3991, 5081, 6061, 7181, 7883, 887, 1826, 2258, 3407, 4651, 5216, 6437, 7902, 684, 1218, 3038, 3803, 5159, 5573, 6771, 7677, 475, 1945, 2860, 4174, 4611, 5893, 6852, 7706, 317, 1773, 2971, 3886, 4644, 5514, 6430, 8061, 228, 1963, 2167, 3914, 4329, 5612, 6852, 7707, 317, 1116, 2461, 3540, 4586, 5983, 6958, 8130, 317, 1439, 3026, 3232, 4804, 5711, 7118, 7944, 613, 2002, 2842, 3347, 5157, 5936, 6612, 7363, 386, 1820, 3055, 4066, 4555, 5513, 7197, 7880, 266, 1758, 2568, 3754, 4595, 6002, 7170, 7880, 386, 1624, 2678, 3499, 4855, 5615, 6788, 7786, 504, 1582, 2579, 3430, 4755, 5981, 6734, 7290, 1025, 1318, 2493, 4003, 5187, 5521, 6649, 7570, 643, 1989, 2143, 3654, 4895, 5757, 6750, 7558, 401, 1620, 2984, 3908, 4489, 5904, 6891, 7664, 401, 2056, 2371, 3240, 4861, 5573, 6410, 7631, 940, 1747, 2789, 3842, 4856, 6025, 6786, 8185, 940, 1809, 2899, 3962, 5106, 5314, 6979, 8195, 955, 1916, 2925, 4011, 4856, 6205, 7132, 7948, 211, 1856, 3135, 3240, 5106, 5684, 7047, 8107, 1090, 2064, 2659, 4164, 4379, 5535, 6709, 7721, 1011, 1350, 2977, 3407, 5018, 5796, 6564, 8081, 1022, 1674, 2766, 4027, 5003, 5848, 6898, 8006, 1016, 1141, 2945, 3751, 5124, 5898, 6247, 7745, 1038, 2059, 2232, 3446, 4454, 5899, 6803, 7537, 996, 1858, 2378, 3262, 4802, 6135, 6611, 7549, 952, 1510, 3070, 4037, 5040, 5601, 6832, 8215, 886, 1835, 2987, 3765, 4734, 5600, 6630, 7898, 844, 1842, 2987, 3592, 4881, 6164, 6910, 8263, 407, 1695, 2987, 3627, 4364, 5354, 7125, 7842, 995, 1442, 2172, 3472, 5025, 6063, 6882, 8189, 913, 1842, 2309, 3971, 4748, 6117, 6340, 7651, 981, 1882, 2346, 3341, 4206, 5373, 6476, 8132, 715, 1442, 2669, 3298, 4334, 5276, 6684, 7842, 103, 1294, 2327, 3933, 5124, 5935, 6614, 8016, 996, 1280, 2669, 3965, 4949, 6135, 6528, 8040, 575, 1882, 2720, 3851, 4346, 6135, 6560, 7868, 1038, 1112, 2346, 3933, 4511, 6183, 6348, 7878, 103, 1614, 2654, 3596, 4667, 6135, 7075, 7270, 992, 1164, 2355, 3965, 4329, 5810, 6986, 7256, 489, 1842, 2309, 3159, 4881, 5624, 6498, 7497, 995, 1882, 3017, 3877, 4364, 6041, 6783, 8070, 489, 1842, 2309, 3933, 5090, 5934, 7028, 7962, 995, 1862, 2279, 3391, 4444, 6034, 6829, 7490, 995, 1289, 3104, 3363, 4364, 5809, 7140, 7727, 995, 2028, 2355, 3236, 5025, 5443, 7139, 8232, 489, 1118, 2576, 3596, 4597, 6002, 7043, 7385, 844, 1112, 2887, 3596, 4454, 5474, 6889, 7997, 613, 1919, 2715, 3792, 4818, 5689, 6987, 7777, 211, 2067, 2453, 3425, 5142, 6075, 6431, 7481, 804, 1847, 2872, 3363, 4447, 5515, 6740, 8266, 859, 1540, 2965, 3183, 4186, 5883, 6980, 7715, 818, 2017, 2991, 3827, 4589, 5705, 6677, 8083, 818, 1528, 3021, 4071, 4782, 5661, 6776, 7717, 818, 1528, 3117, 4114, 4912, 6186, 7120, 8260, 186, 1528, 3021, 3893, 4782, 5901, 7201, 7717, 915, 1147, 2806, 4145, 4624, 6103, 6677, 8260, 915, 1528, 3021, 3893, 4512, 6139, 6752, 7717, 555, 1695, 2781, 3595, 4681, 5684, 6988, 8237, 915, 1684, 2970, 3595, 4877, 6139, 7100, 8223, 555, 1648, 2970, 3827, 5138, 6149, 7077, 7865, 4, 2 ]
[ 1, 31, 16, 5, 51, 33, 63, 52, 16, 64, 54, 16, 64, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 488, 1648, 2914, 3893, 4624, 5635, 7124, 8196, 571, 2046, 2803, 4113, 5058, 6123, 6774, 8237, 962, 1125, 2856, 4005, 4437, 5822, 6293, 7727, 735, 1828, 2530, 3928, 4858, 5787, 6438, 7711, 994, 2071, 2225, 4122, 4347, 5938, 6528, 7921, 613, 2118, 2677, 4128, 5117, 5934, 6950, 7948, 488, 1797, 2754, 4074, 4834, 5981, 6734, 7256, 818, 2064, 2730, 3891, 4980, 6129, 7168, 7260, 818, 1218, 3095, 3945, 4276, 5832, 7111, 7720, 488, 1528, 3135, 3825, 5061, 5705, 7111, 7782, 818, 1218, 2925, 4174, 4782, 6085, 7239, 8260, 956, 1218, 3117, 3188, 4912, 5241, 7084, 7766, 818, 1528, 3117, 4018, 4888, 5661, 6794, 7806, 935, 2017, 2960, 4068, 4888, 6195, 7006, 8196, 818, 1528, 2991, 3201, 4888, 5705, 7218, 8066, 224, 1108, 2802, 3855, 4341, 5672, 6958, 7379, 878, 2106, 2370, 3681, 4359, 5419, 7051, 7304, 541, 1562, 2279, 3359, 4507, 5658, 7049, 8008, 356, 2127, 2925, 3732, 5143, 5514, 7091, 8135, 752, 1858, 2138, 3426, 4867, 6199, 6540, 8130, 840, 1388, 2801, 3807, 4717, 5212, 6622, 7964, 640, 1442, 2355, 3765, 4670, 5930, 6626, 7305, 1103, 1494, 2987, 3332, 4455, 5828, 6925, 8073, 876, 1494, 2987, 3296, 4386, 6221, 6307, 7873, 895, 1154, 2993, 3403, 4868, 6221, 6248, 7531, 271, 1888, 2968, 3771, 4995, 5411, 7003, 8255, 1067, 1758, 2724, 3421, 5077, 5400, 6995, 8215, 840, 1149, 2208, 3741, 4409, 5652, 6281, 7906, 492, 1743, 2314, 3939, 4726, 6111, 6582, 8086, 235, 1403, 2532, 3498, 4556, 5953, 7229, 8026, 770, 1669, 3038, 3936, 4248, 5632, 6830, 7736, 1067, 1199, 2728, 3409, 4510, 6000, 7099, 7676, 424, 1931, 2137, 3878, 5091, 5731, 6235, 7605, 663, 1716, 3061, 3975, 5127, 5908, 6829, 7394, 831, 1177, 2222, 3961, 4859, 5905, 6263, 7631, 610, 1572, 2975, 3864, 4855, 5890, 7246, 8041, 408, 1509, 2503, 3915, 4782, 5870, 6372, 7547, 104, 1146, 2706, 3643, 4440, 5320, 6763, 8050, 113, 1821, 2706, 3908, 4345, 6017, 6267, 8222, 1057, 1706, 2348, 3788, 4404, 5263, 6466, 7999, 715, 1349, 2941, 3756, 5103, 5605, 6605, 7438, 878, 1421, 2946, 3479, 4850, 5418, 6540, 8069, 568, 1116, 3052, 4018, 4181, 5364, 6571, 7870, 225, 1742, 3002, 3995, 5007, 6146, 6746, 8081, 195, 1758, 2562, 3550, 5193, 6097, 7168, 8128, 518, 1623, 3040, 4096, 5138, 5273, 7041, 8202, 240, 2106, 2946, 3680, 4555, 5580, 7077, 7717, 789, 1218, 2946, 4011, 5138, 6137, 6889, 7876, 510, 1998, 3110, 3886, 4580, 5963, 6579, 7631, 818, 2017, 3095, 3407, 4912, 5241, 6889, 7641, 512, 1945, 3043, 4071, 4551, 6085, 6979, 7421, 166, 1932, 2291, 3488, 5159, 6175, 6972, 8107, 150, 1255, 2678, 3971, 4451, 5219, 6349, 7930, 993, 1510, 2455, 3579, 4602, 5826, 7002, 7868, 1029, 1708, 2953, 4126, 4582, 6024, 6802, 8012, 536, 2118, 2803, 3167, 5138, 5988, 7051, 7888, 150, 1388, 2271, 3394, 4496, 5689, 6840, 7333, 610, 1562, 3032, 3710, 4588, 5515, 6657, 7918, 940, 1206, 2775, 3983, 4664, 5777, 6736, 7811, 183, 1494, 2924, 3900, 4980, 5824, 6762, 7615, 225, 1797, 2918, 4125, 4923, 6211, 6614, 7761, 225, 1750, 2669, 3370, 4859, 5810, 6349, 7811, 518, 2127, 2316, 3891, 4549, 5493, 7090, 7732, 518, 1750, 2469, 3332, 4877, 5901, 7006, 7720, 518, 2127, 2833, 3933, 4775, 5677, 7090, 7781, 518, 2127, 2775, 3933, 4611, 6163, 6612, 8216, 518, 2111, 2585, 3332, 4890, 5218, 6889, 7677, 228, 1938, 2242, 4083, 4715, 5740, 6338, 7509, 256, 2127, 2946, 3595, 4859, 5550, 7024, 7715, 518, 2111, 2466, 4153, 4601, 5678, 7160, 8130, 240, 2118, 3147, 4161, 5138, 5981, 7152, 7291, 256, 2127, 3040, 4145, 5166, 6157, 6996, 7537, 256, 2118, 2659, 3873, 5135, 6117, 6889, 8266, 419, 1623, 3133, 3891, 4583, 5241, 6717, 7677, 186, 1623, 2221, 3994, 4870, 5767, 7090, 8164, 201, 2111, 2806, 4171, 4704, 5901, 7098, 8076, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 555, 1648, 2833, 3391, 4387, 5635, 7077, 7664, 555, 1468, 3021, 3891, 5159, 6182, 7207, 8126, 555, 1750, 2858, 3914, 4870, 6139, 7124, 7715, 555, 1289, 3065, 3564, 4870, 5963, 7129, 8237, 555, 1648, 2833, 3391, 4622, 5550, 6688, 7717, 555, 1468, 3021, 3827, 4870, 5219, 6677, 7664, 4, 2 ]
[ 1, 43, 48, 78, 5, 20, 52, 5, 63, 26, 66, 5, 44, 51, 64, 33, 62, 66, 5, 41, 20, 63, 5, 43, 45, 78, 5, 43, 33, 30, 40, 51, 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, 2914, 3893, 4624, 5635, 7077, 7766, 915, 1648, 3021, 3825, 4624, 6186, 7207, 8196, 767, 1388, 2797, 4082, 4212, 5586, 6442, 7641, 402, 1550, 2697, 4096, 4762, 5746, 7169, 7389, 801, 1550, 2891, 4144, 4723, 5616, 6908, 8018, 772, 1669, 2384, 3332, 4795, 5863, 6577, 8149, 962, 1912, 2601, 3570, 4351, 5658, 7086, 7817, 702, 2008, 2794, 3687, 5043, 5938, 6422, 8230, 868, 1776, 2142, 3528, 4723, 5752, 7232, 7693, 1014, 2102, 2411, 3394, 4765, 5662, 6486, 8183, 1014, 2048, 2542, 4111, 4315, 5540, 6889, 7680, 127, 1540, 2560, 3811, 4638, 5796, 6410, 7677, 518, 1577, 2980, 3770, 5165, 6051, 7181, 7753, 1014, 1820, 2516, 3874, 4601, 5624, 7157, 7957, 868, 1628, 2339, 3610, 4539, 6112, 7069, 8244, 635, 1496, 2318, 3695, 4595, 5374, 6679, 7875, 1009, 1740, 2509, 3748, 4823, 5500, 7223, 7635, 360, 2050, 2299, 3466, 4748, 5833, 7214, 7539, 449, 1522, 2173, 4133, 4550, 5813, 6674, 8114, 368, 2095, 2888, 3252, 5191, 5347, 6293, 7559, 835, 1543, 3073, 3847, 4256, 5477, 6998, 7990, 774, 2081, 2948, 3262, 4327, 5313, 6693, 7329, 368, 1912, 2325, 3997, 4911, 6130, 7150, 7797, 494, 1912, 2325, 3520, 4609, 5480, 6293, 7381, 368, 1440, 3031, 3270, 5032, 6121, 7150, 7422, 339, 1543, 3123, 3479, 4557, 5660, 6743, 7318, 531, 1543, 2712, 3252, 4254, 5950, 6334, 7828, 1080, 1469, 3103, 3205, 4461, 5535, 6793, 7429, 784, 1129, 2888, 3804, 5021, 5568, 6754, 7710, 266, 1440, 2911, 3330, 4406, 5227, 7136, 7810, 249, 1950, 2325, 3703, 4364, 5332, 6851, 8123, 363, 1838, 2135, 3880, 4214, 5454, 6436, 7755, 1029, 1674, 3037, 3322, 4659, 6215, 6579, 8149, 981, 2033, 2240, 3989, 5134, 5717, 6722, 7722, 504, 1479, 2747, 4126, 4857, 5362, 7202, 7586, 1029, 1424, 2541, 3656, 4485, 5582, 7066, 8227, 150, 1456, 2331, 3477, 5073, 5444, 7192, 7812, 784, 1571, 2871, 3444, 5174, 5435, 6293, 7627, 728, 1571, 2511, 3384, 4827, 5790, 6546, 7912, 493, 1338, 2142, 3843, 4920, 5301, 6697, 7740, 546, 2050, 2638, 3747, 4657, 6135, 6293, 7725, 584, 1940, 3040, 4102, 5049, 5970, 7238, 7748, 302, 1548, 2810, 3486, 5031, 6179, 6505, 7576, 584, 1604, 2907, 3366, 4882, 6121, 6594, 8149, 668, 1940, 3088, 3425, 4818, 6036, 6610, 7621, 302, 1283, 2134, 3483, 5005, 6022, 7142, 8047, 1017, 2095, 3088, 3394, 4539, 6219, 6864, 7535, 900, 1834, 2972, 3237, 4358, 5558, 6315, 8263, 900, 1164, 2427, 3314, 4697, 6194, 6908, 7248, 900, 1561, 2543, 3785, 4306, 5558, 6501, 7313, 465, 1732, 2869, 3673, 4321, 5755, 6258, 8078, 390, 1752, 2701, 3343, 5135, 6117, 6373, 7962, 390, 1562, 2641, 4018, 4276, 5284, 7045, 8082, 397, 1915, 2793, 3313, 4923, 6177, 6430, 7936, 737, 1287, 2452, 3792, 4773, 6077, 6426, 7646, 314, 2034, 3029, 3642, 5065, 6034, 6387, 8019, 487, 1393, 2327, 3366, 4774, 6031, 7054, 7869, 487, 1915, 2655, 3394, 4654, 6154, 6755, 7442, 356, 1238, 2610, 3728, 4664, 5210, 6889, 7442, 804, 1978, 2940, 4006, 5183, 5624, 6755, 7906, 419, 2001, 3043, 3827, 4580, 5883, 6240, 8261, 617, 1112, 2560, 3819, 5061, 5610, 6809, 7563, 195, 1570, 2970, 3352, 5080, 5737, 6849, 7773, 195, 1570, 2560, 4145, 4412, 6137, 6889, 7869, 518, 1695, 2659, 4106, 5157, 5436, 6815, 8130, 127, 1313, 2941, 4145, 4870, 5624, 7120, 7641, 654, 1695, 2729, 4006, 5088, 5438, 6996, 8102, 256, 1623, 3008, 3277, 5104, 5219, 6749, 8102, 645, 1827, 2924, 3292, 4935, 6035, 6724, 7528, 360, 1286, 2934, 3340, 4430, 5871, 6917, 7899, 249, 1472, 2635, 4138, 5088, 5471, 6660, 7987, 1017, 1402, 2929, 3483, 4735, 6133, 6538, 7892, 840, 1555, 2445, 4005, 5017, 6002, 7071, 7791, 1097, 1675, 3150, 3271, 4602, 6040, 6786, 7673, 1097, 1467, 2984, 3891, 5115, 6014, 7129, 8237, 935, 2111, 3109, 4011, 5104, 6051, 6809, 8107, 935, 2065, 2996, 3885, 4828, 6111, 6709, 7641, 935, 1622, 2746, 4018, 4828, 6129, 6996, 8266, 475, 1518, 2746, 4026, 5038, 6205, 6852, 7949, 256, 2030, 2941, 3645, 4398, 5550, 7090, 7723, 518, 1345, 2473, 3430, 4287, 6216, 6998, 7498, 489, 2060, 2970, 3420, 5060, 5296, 6412, 7718, 579, 1333, 3038, 3994, 4762, 6164, 6717, 7840, 223, 1370, 2167, 3185, 5003, 5911, 6974, 7524, 113, 1582, 2133, 3821, 4407, 5335, 7192, 8034, 936, 1260, 3003, 3928, 4253, 5588, 6640, 7712, 536, 1402, 2872, 3857, 4776, 6120, 6335, 7663, 840, 1393, 2511, 3642, 4734, 5970, 7214, 7962, 535, 1736, 2648, 4128, 4936, 5965, 6391, 7904, 535, 1758, 2432, 3547, 4321, 5914, 6343, 7475, 535, 1555, 2401, 3421, 4191, 5927, 6878, 7796, 535, 1826, 2401, 3707, 5154, 5344, 6224, 8201, 826, 1283, 2659, 3842, 4321, 6077, 6375, 7756, 826, 1388, 2751, 3762, 4859, 5547, 7114, 7862, 613, 1930, 2751, 3991, 4770, 5221, 6382, 7355, 309, 1932, 2560, 3824, 4335, 5455, 6267, 7492, 317, 1821, 2448, 3478, 4705, 5276, 7053, 8242, 195, 1721, 2867, 3662, 4538, 5795, 6950, 7667, 518, 1851, 3064, 3407, 4895, 5716, 7024, 8260, 518, 1684, 3135, 3955, 4344, 6097, 6772, 7887, 256, 1684, 2315, 3994, 4334, 6097, 7230, 8080, 833, 1564, 2469, 3516, 5120, 6137, 6480, 8270, 967, 1974, 3110, 3827, 4334, 6103, 6612, 8267, 356, 1147, 2254, 3770, 4501, 5550, 6709, 7474, 952, 1637, 3043, 4125, 5176, 5832, 6901, 7906, 685, 2034, 2520, 3380, 4413, 5255, 7071, 7369, 611, 2034, 2245, 3757, 4257, 5532, 6901, 8077, 737, 1588, 2128, 3394, 5115, 5716, 7001, 7964, 1017, 1356, 2316, 3329, 4590, 5898, 6540, 7649, 249, 1695, 3040, 3237, 4421, 6118, 6908, 7800, 845, 1695, 3066, 3426, 4962, 5896, 7229, 7904, 684, 1816, 3149, 3655, 4181, 5515, 6677, 7421, 952, 2063, 3064, 3206, 4533, 6137, 6612, 7500, 1024, 1126, 2348, 3877, 4895, 5387, 6614, 7748, 986, 1397, 2495, 4117, 4540, 5926, 6263, 7488, 964, 1397, 2660, 3924, 4539, 6105, 6888, 8205, 1019, 1808, 3127, 3205, 4776, 5810, 7141, 7438, 994, 1708, 3141, 3329, 4776, 5205, 6462, 8028, 582, 1189, 2751, 3623, 4776, 6050, 7025, 7772, 1040, 1550, 2751, 3384, 4776, 5633, 6884, 7577, 1040, 1550, 2162, 4073, 4804, 5332, 6962, 7983, 487, 1692, 2658, 4005, 4321, 5787, 6319, 8253, 993, 1550, 2688, 3329, 4274, 5927, 7117, 7358, 1025, 1554, 2142, 3329, 4346, 5844, 7129, 8061, 678, 1550, 3116, 3472, 4261, 6135, 6736, 7892, 510, 1771, 2946, 3827, 4215, 6086, 7100, 7641, 1099, 1876, 2991, 3914, 5165, 5635, 7149, 8080, 859, 1777, 3128, 4018, 5061, 5694, 7120, 7677, 510, 1620, 2803, 3710, 5080, 5832, 7120, 8066, 878, 1964, 3021, 3692, 4925, 6146, 7069, 7862, 878, 1752, 3147, 3827, 4918, 5650, 6840, 7336, 859, 1992, 2542, 3374, 4287, 6077, 7100, 7876, 859, 1564, 2880, 4103, 4870, 5935, 7149, 7485, 488, 1147, 3135, 3914, 5038, 5705, 7239, 7664, 860, 1528, 2914, 3825, 4630, 5705, 7077, 8223, 860, 1528, 2806, 3825, 4624, 6139, 7201, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7226, 8223, 915, 1684, 2164, 3825, 4622, 5534, 6794, 7732, 488, 1528, 2164, 3893, 4798, 6081, 6752, 8223, 915, 1147, 2970, 3914, 4985, 5527, 7152, 8266, 915, 1147, 2970, 3825, 4583, 5811, 7077, 8223, 555, 1147, 2970, 3825, 5159, 5635, 6996, 7664, 915, 1648, 2970, 3391, 4798, 5635, 6996, 8223, 915, 1648, 3021, 3914, 4512, 5892, 6584, 8236, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 142, 1622, 2806, 3825, 4704, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 4, 2 ]
[ 1, 28, 63, 39, 51, 44, 55, 5, 17, 62, 5, 31, 16, 5, 53, 73, 54, 78, 5, 63, 16, 41, 52, 33, 51, 65, 16, 54, 3, 804, 1777, 2783, 3885, 5104, 6103, 7239, 8147, 390, 1721, 2783, 4170, 4896, 5893, 6972, 8083, 1052, 1930, 2886, 4135, 5141, 5722, 6291, 7975, 448, 1982, 2856, 3227, 4866, 5813, 6910, 7696, 761, 2088, 2424, 3946, 4701, 6114, 6760, 8121, 1080, 1830, 2878, 3957, 4256, 5410, 6458, 7350, 726, 1736, 3068, 4004, 4678, 5696, 6386, 7533, 491, 1384, 2289, 3672, 4831, 5650, 6398, 7786, 491, 1222, 2787, 4021, 4598, 5838, 6637, 8246, 511, 1118, 2672, 3666, 4468, 5656, 7112, 8000, 862, 1231, 2693, 3513, 5179, 6032, 7135, 7889, 582, 2091, 2282, 3952, 4236, 5818, 6861, 7913, 756, 1782, 2867, 3951, 4273, 5742, 6466, 7613, 512, 1623, 3006, 3909, 4555, 5705, 7237, 7408, 427, 1871, 2944, 4114, 5183, 6085, 6810, 7726, 256, 1874, 2925, 4026, 4398, 5705, 7100, 7876, 568, 1199, 3008, 3492, 4877, 5514, 7069, 8107, 1020, 1264, 2970, 3951, 5165, 6061, 6619, 7367, 831, 2008, 2652, 4125, 5083, 5534, 7157, 7959, 856, 1776, 2574, 3771, 4755, 5492, 6674, 8031, 234, 1244, 2958, 3924, 4458, 5315, 7001, 8069, 986, 1530, 2132, 3736, 4645, 5491, 7224, 7365, 582, 1972, 2268, 3233, 4855, 5354, 6257, 7349, 767, 1757, 2387, 3191, 4931, 5982, 6769, 8060, 504, 1807, 2247, 4082, 5020, 5298, 6736, 7262, 1035, 1361, 2865, 3771, 5084, 5333, 6803, 8158, 1024, 1807, 2429, 3530, 4953, 5903, 7136, 7927, 1024, 1782, 3080, 3634, 4814, 5784, 6802, 8244, 1024, 1269, 2764, 4120, 4536, 5641, 6914, 8052, 668, 2044, 2953, 3615, 4986, 5824, 7012, 8034, 668, 1543, 3040, 3473, 5152, 6200, 6651, 8253, 339, 1267, 2954, 3960, 5005, 6012, 7003, 7944, 400, 1199, 2198, 4043, 4906, 5976, 6777, 7442, 984, 1199, 2754, 4009, 4308, 6202, 6876, 7639, 512, 1110, 2407, 3891, 4983, 6113, 6972, 7689, 935, 2068, 2932, 3680, 4630, 6026, 6393, 7948, 935, 1757, 2834, 3982, 4583, 5661, 6630, 8260, 984, 1454, 2746, 3240, 4630, 5630, 6852, 8260, 984, 2068, 2641, 3803, 5038, 5219, 6774, 7485, 935, 2000, 3109, 3680, 4980, 6131, 6996, 7723, 510, 1475, 3109, 3680, 5061, 6146, 6972, 7870, 579, 1705, 2970, 3680, 4321, 5315, 7135, 7277, 391, 1327, 2474, 3314, 4545, 6050, 6308, 7481, 547, 1183, 3080, 3179, 4748, 5233, 6571, 8018, 504, 1370, 2482, 3688, 4531, 5515, 6928, 7778, 216, 1834, 2436, 3564, 4179, 5320, 6614, 7865, 1033, 1708, 2750, 3564, 4728, 5683, 7212, 7770, 1071, 1167, 2389, 3245, 5145, 5906, 6563, 8207, 160, 1768, 2944, 4026, 4588, 5765, 6337, 8261, 545, 1915, 2678, 4093, 5079, 6194, 7038, 8036, 986, 1682, 2487, 3246, 4946, 5222, 6682, 7586, 716, 1826, 2649, 4138, 5178, 5918, 6528, 8079, 314, 1167, 2894, 3245, 4753, 5289, 6682, 7701, 266, 1529, 2822, 3398, 4367, 5836, 7159, 7836, 386, 2033, 2137, 3318, 4978, 6065, 6966, 7598, 504, 1472, 2749, 3600, 4335, 5855, 7241, 7819, 784, 1826, 3050, 3796, 4458, 5576, 6884, 7680, 150, 1826, 2313, 3227, 5006, 5407, 6622, 7462, 1025, 1847, 2678, 3796, 4634, 6120, 6224, 7313, 386, 1831, 2732, 4101, 5097, 5364, 6408, 8252, 504, 1624, 2137, 3302, 4536, 6032, 6633, 8048, 643, 1675, 2554, 3960, 4351, 5906, 7111, 7626, 504, 1333, 2678, 3595, 4333, 5927, 6968, 8257, 1029, 1682, 2242, 3771, 4315, 6001, 6612, 7902, 887, 1865, 3075, 3983, 5083, 5996, 6951, 7852, 150, 1141, 3003, 3981, 5083, 5778, 6708, 7535, 317, 1275, 2678, 3159, 4440, 5579, 6400, 7532, 225, 1496, 2677, 3753, 5145, 5248, 6760, 7919, 225, 1496, 2664, 3385, 4737, 5844, 6443, 7753, 757, 2065, 2750, 3777, 5127, 5296, 7153, 7313, 617, 1961, 3139, 3723, 4971, 5765, 6566, 8185, 579, 1797, 3139, 3430, 4784, 5581, 6677, 8189, 319, 1721, 2503, 4153, 4189, 5981, 6338, 8117, 536, 1141, 2384, 4153, 4953, 5408, 7205, 7919, 314, 1564, 2595, 3273, 4626, 6002, 7049, 7293, 535, 1510, 2321, 3434, 4297, 5794, 6812, 8154, 884, 1561, 3032, 4083, 4205, 5202, 6625, 7821, 1025, 1283, 2415, 3358, 5045, 5706, 6736, 7672, 610, 1561, 2554, 3421, 5124, 6194, 6574, 7778, 518, 1562, 3026, 3882, 4344, 5482, 6967, 8008, 518, 1452, 3130, 3193, 4785, 5926, 6443, 7559, 256, 2030, 2803, 3932, 4555, 5694, 6612, 7641, 440, 1976, 2970, 3516, 4398, 5580, 6515, 8107, 256, 1851, 3000, 4011, 5138, 6149, 7049, 7965, 256, 1851, 3000, 3771, 4338, 6007, 6844, 8209, 901, 1141, 3109, 3857, 4512, 5436, 6966, 7727, 568, 2053, 3008, 4005, 4923, 5215, 6803, 8270, 356, 1141, 2560, 3798, 4609, 5730, 6901, 8266, 288, 1623, 2970, 4166, 4470, 6128, 6619, 8188, 716, 1199, 2247, 3787, 5022, 6014, 6976, 7698, 465, 1563, 2497, 3230, 4541, 5279, 6720, 7952, 742, 2086, 2933, 3383, 4377, 5533, 6915, 8162, 604, 1553, 2306, 4007, 5052, 5558, 7178, 7771, 683, 1286, 2633, 4015, 4268, 6028, 6651, 8172, 691, 1186, 2136, 3615, 4881, 5639, 6671, 7882, 859, 1806, 2421, 3487, 4206, 5300, 6486, 8169, 818, 1664, 2946, 3811, 4861, 5767, 7157, 7732, 510, 1998, 2932, 4145, 4888, 5630, 6752, 8185, 984, 1998, 2803, 3645, 4573, 6085, 6938, 8093, 984, 1635, 3006, 3516, 5106, 5219, 6897, 8267, 120, 2013, 3067, 3943, 4267, 5706, 7024, 7376, 256, 1684, 2370, 3272, 4344, 5223, 7120, 7641, 757, 2127, 2904, 3361, 5081, 5446, 6717, 7542, 568, 2106, 2904, 4096, 4201, 5350, 6698, 7519, 568, 2013, 2468, 3955, 4423, 5935, 7232, 8047, 568, 1971, 2468, 3928, 4877, 5550, 6762, 8164, 757, 2127, 2468, 4096, 5097, 5660, 6338, 7477, 568, 2013, 2669, 3798, 4387, 5438, 7168, 8261, 757, 1570, 2904, 3425, 4555, 5942, 6589, 7732, 617, 2127, 2468, 4068, 5138, 5901, 7120, 7563, 757, 1750, 3021, 4166, 4411, 5767, 6515, 7664, 617, 1758, 2839, 3904, 5007, 5534, 6486, 8126, 555, 1851, 2424, 3955, 4877, 5385, 7098, 7715, 1033, 1510, 2334, 3924, 4312, 5266, 6475, 7867, 386, 1370, 2709, 3375, 4586, 5367, 6683, 7404, 814, 1815, 3058, 3295, 4636, 5250, 6249, 8216, 814, 1815, 2214, 3526, 4636, 5632, 6805, 7756, 344, 1141, 3106, 3790, 4493, 5943, 6224, 8053, 160, 1825, 2387, 3455, 4658, 6005, 7100, 7744, 806, 1858, 2265, 3991, 4392, 5408, 6645, 7542, 104, 1141, 2944, 3778, 4693, 5300, 6950, 7634, 487, 1972, 2887, 3786, 4720, 5700, 7198, 8025, 802, 1141, 2515, 3375, 4690, 6147, 6730, 7515, 850, 1463, 2767, 3469, 4273, 5706, 6915, 8206, 778, 1118, 2429, 4007, 4514, 6120, 6884, 7284, 104, 1141, 2688, 3447, 4881, 6141, 7184, 7794, 1035, 1660, 3026, 3529, 4419, 5980, 6769, 7790, 831, 1363, 2462, 3472, 4387, 5869, 6430, 7807, 804, 1992, 2970, 3271, 5080, 6014, 6540, 8126, 105, 1175, 2959, 4131, 4630, 5968, 7119, 7476, 818, 1620, 3006, 3990, 5080, 6051, 7168, 8195, 818, 1791, 3095, 3516, 4624, 6195, 6709, 7782, 956, 2046, 2838, 3825, 5165, 6211, 7006, 7876, 1097, 2017, 3095, 3990, 5038, 5705, 6752, 8147, 859, 1791, 2858, 4068, 4870, 6182, 6604, 8126, 356, 2127, 2833, 3217, 4762, 5433, 6830, 7485, 617, 1345, 2775, 3564, 5166, 5586, 7168, 7831, 105, 2002, 2970, 4068, 4681, 5548, 6717, 8076, 105, 2106, 2858, 3955, 4555, 5901, 6551, 7732, 859, 2002, 2970, 4089, 5157, 5767, 6515, 7913, 4, 2 ]
[ 1, 42, 63, 39, 64, 41, 16, 52, 5, 28, 63, 33, 64, 66, 5, 31, 14, 66, 5, 43, 14, 30, 5, 28, 45, 54, 5, 30, 44, 64, 41, 45, 42, 77, 35, 30, 5, 28, 26, 5, 31, 14, 66, 5, 66, 33, 63, 16, 28, 16, 52, 5, 76, 23, 54, 30, 5, 5, 3, 1071, 1770, 2130, 3385, 4231, 5210, 6649, 7878, 752, 1742, 2263, 3870, 4437, 5297, 7032, 7821, 113, 1453, 2378, 3423, 4258, 5993, 6832, 8017, 761, 1510, 2927, 3810, 4736, 5447, 6984, 7944, 807, 1118, 2987, 3922, 4205, 5810, 6458, 8026, 839, 1708, 2717, 3329, 4644, 5656, 6242, 7402, 487, 1881, 2751, 3417, 4953, 5725, 7118, 7985, 103, 1932, 3149, 4079, 4259, 5845, 6803, 7538, 756, 1809, 2268, 3983, 4622, 5363, 7229, 7677, 518, 1118, 2349, 3802, 4437, 5660, 6302, 8227, 225, 1112, 3046, 3955, 5115, 5888, 7065, 8188, 225, 1570, 2473, 3362, 4927, 5586, 6413, 8150, 518, 1684, 2542, 3595, 5184, 5215, 6810, 7677, 654, 2030, 3091, 3844, 4836, 5766, 6277, 7927, 568, 1424, 2905, 3359, 4870, 5436, 7207, 7799, 617, 2060, 2905, 3994, 4181, 5764, 7090, 7737, 419, 1791, 2340, 3838, 4512, 5514, 7232, 7557, 475, 1147, 2941, 3891, 4398, 5514, 7232, 8227, 789, 2106, 2970, 3803, 4398, 5514, 6988, 7664, 256, 1108, 2341, 4174, 4916, 5296, 7090, 8147, 256, 1108, 2880, 3555, 5138, 5514, 6752, 7570, 617, 1467, 2970, 4071, 5096, 5963, 6589, 7715, 948, 2035, 3147, 4114, 4219, 5904, 7162, 7438, 685, 2050, 2330, 3490, 5023, 6009, 6959, 8230, 266, 1469, 2890, 3193, 4532, 6154, 6224, 7997, 386, 1503, 2687, 3485, 4857, 5927, 6896, 7873, 1029, 1469, 3126, 3432, 4755, 5444, 6668, 7807, 386, 1440, 3121, 3623, 4847, 6192, 6857, 7778, 150, 1440, 2901, 3623, 4564, 5484, 6426, 7614, 1025, 1499, 3040, 3912, 4730, 6195, 6810, 7707, 940, 2009, 2783, 3718, 4570, 5938, 7166, 7757, 390, 1881, 2880, 3226, 5165, 6051, 7084, 7870, 512, 2046, 3135, 3671, 5104, 5883, 6996, 8076, 308, 2001, 3008, 4068, 5038, 6063, 6515, 8066, 684, 1620, 3064, 3866, 4551, 5612, 7084, 8237, 804, 2046, 2936, 4115, 4822, 6129, 7168, 7723, 308, 2046, 2957, 3886, 4822, 6063, 6979, 8066, 804, 1963, 2957, 4108, 4630, 5612, 7239, 8076, 308, 1675, 3110, 4166, 5166, 5705, 6972, 8267, 211, 1700, 3128, 4068, 5104, 5883, 7077, 8237, 304, 2063, 2957, 3987, 4980, 5378, 7239, 8076, 660, 1257, 2701, 3478, 5096, 6004, 7054, 8123, 840, 1770, 2910, 3776, 4517, 5313, 6415, 8186, 536, 1145, 2847, 3560, 5095, 5815, 6328, 7994, 344, 1603, 2559, 3963, 4338, 5773, 6830, 8129, 664, 1758, 3129, 3578, 4709, 5341, 6632, 8032, 1041, 2059, 2436, 3687, 4339, 5489, 7083, 7972, 662, 1397, 2979, 3669, 4575, 5570, 7188, 7397, 692, 1434, 2766, 3229, 5011, 5906, 6426, 8070, 265, 1695, 2895, 3741, 4281, 5400, 7247, 8254, 952, 1636, 2361, 4069, 4652, 5855, 6889, 7438, 715, 1349, 2133, 3563, 4329, 5918, 6309, 7533, 899, 1918, 2638, 3413, 4470, 6026, 6377, 7899, 715, 1460, 2897, 3922, 4329, 5557, 6850, 7966, 225, 2030, 3059, 3342, 4305, 5296, 6613, 8164, 225, 1525, 2935, 4113, 5089, 5892, 6882, 7732, 195, 1826, 2548, 3407, 5075, 5677, 7075, 8016, 518, 1593, 2469, 3332, 4536, 6157, 6607, 8187, 518, 1570, 2659, 3933, 5138, 5650, 6877, 7677, 240, 2111, 3021, 3394, 5159, 5241, 7160, 7949, 240, 1750, 2729, 3855, 4622, 6149, 7160, 8083, 419, 1851, 2287, 3407, 5083, 5296, 6671, 8237, 915, 1622, 2806, 4174, 4859, 5677, 6752, 8147, 789, 1648, 2560, 3376, 4541, 5901, 7207, 8262, 195, 1695, 2287, 4174, 4862, 5825, 7198, 7612, 568, 1826, 2239, 3798, 4780, 5216, 7047, 8185, 859, 1332, 2970, 3891, 4622, 5963, 6338, 7706, 797, 1622, 2833, 3825, 4704, 6186, 6589, 8147, 860, 1622, 3065, 3825, 4704, 5677, 7077, 7677, 488, 2017, 2914, 3893, 4704, 6139, 7124, 8196, 488, 1528, 2914, 3893, 4624, 6186, 7124, 8196, 555, 2017, 2833, 3893, 4512, 5635, 7120, 7563, 859, 1648, 3021, 3374, 5061, 5678, 6584, 7485, 617, 1496, 2918, 3566, 4622, 6149, 6589, 7716, 617, 2013, 2941, 4071, 4344, 5901, 7152, 7732, 555, 2002, 2959, 3352, 4890, 5901, 6677, 7664, 488, 2111, 2914, 3893, 4764, 6186, 7120, 7732, 488, 1648, 3065, 3825, 4624, 5219, 6589, 8237, 488, 1622, 3065, 3595, 4624, 6139, 7124, 7766, 860, 1528, 2806, 3825, 4704, 6139, 7124, 7715, 201, 1528, 2164, 3825, 4624, 6139, 7077, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6081, 7239, 7766, 579, 1992, 2959, 3975, 4881, 5978, 6659, 7717, 731, 2060, 2959, 3671, 5115, 5830, 7004, 8061, 189, 1375, 2724, 4017, 4629, 5250, 7028, 7873, 739, 1108, 3032, 3261, 4408, 5891, 6493, 8211, 886, 1349, 2574, 3403, 4364, 5580, 7108, 7845, 231, 2094, 2349, 3224, 4752, 6110, 6656, 7698, 756, 1747, 2970, 3646, 4553, 5871, 6410, 7592, 317, 1430, 3003, 3227, 5153, 5968, 6609, 7962, 844, 1695, 2542, 3623, 4255, 6112, 7230, 7367, 952, 1989, 2687, 3394, 4573, 5911, 6651, 7570, 1052, 1564, 2824, 3366, 4456, 5557, 6998, 7904, 306, 1140, 2135, 3434, 4597, 5444, 6973, 7621, 113, 1965, 2327, 3356, 4282, 5348, 6627, 8022, 668, 1817, 2332, 3394, 4435, 5575, 7175, 7413, 692, 1695, 3106, 3366, 4539, 6119, 7063, 7659, 510, 1931, 3049, 3931, 5085, 6184, 6403, 7539, 288, 1467, 2959, 4026, 5183, 5942, 6961, 7421, 804, 1218, 2754, 3827, 5159, 5749, 7132, 8076, 308, 1992, 3064, 3226, 4890, 5883, 6810, 8185, 684, 1218, 2396, 3827, 4292, 6164, 7084, 8195, 914, 1675, 3128, 4115, 5129, 6137, 6809, 8260, 211, 1881, 3110, 4152, 5104, 6131, 6996, 7723, 880, 1804, 2720, 3472, 4385, 5884, 6365, 7913, 465, 2033, 2139, 3394, 4259, 5531, 6270, 7577, 896, 2048, 2897, 3635, 4934, 6086, 6663, 7996, 535, 1397, 2225, 3456, 4873, 5695, 6393, 8139, 304, 1978, 2282, 3832, 5150, 6066, 6839, 7664, 160, 1914, 2142, 3894, 5073, 5899, 6708, 7313, 826, 1676, 2741, 3205, 4450, 5889, 6710, 7878, 778, 1755, 2741, 3717, 4358, 5794, 7004, 7955, 424, 1747, 3098, 4128, 4319, 5485, 6719, 7831, 1090, 1773, 2989, 3233, 5139, 6051, 7084, 7260, 684, 1600, 2925, 3932, 4822, 6129, 6996, 7557, 804, 1218, 2783, 4006, 4870, 6103, 7111, 7421, 882, 1345, 2332, 3486, 4519, 5588, 6455, 8129, 769, 1938, 3101, 3241, 4352, 6112, 6426, 8191, 535, 1206, 2870, 3205, 4409, 5384, 7070, 7885, 737, 1915, 2761, 3714, 4660, 5280, 6760, 8161, 845, 1494, 3040, 3248, 4429, 6118, 6443, 7435, 317, 1436, 2626, 3282, 5101, 5892, 7182, 7815, 225, 1597, 3040, 3838, 4681, 5276, 6412, 7947, 654, 2002, 2492, 3376, 4423, 5580, 6251, 8243, 518, 2078, 2803, 3687, 4836, 5436, 7230, 8061, 225, 1108, 2904, 3873, 4630, 5797, 7043, 7732, 518, 1851, 2554, 3550, 4560, 5320, 6901, 7831, 518, 1851, 2554, 3891, 4183, 5938, 6615, 7720, 568, 1496, 2444, 3681, 5077, 6204, 6688, 7477, 256, 1664, 3147, 3803, 4423, 6110, 6889, 8034, 789, 2002, 2729, 3681, 4549, 5413, 6677, 7732, 256, 1750, 2775, 3914, 4398, 5580, 7120, 7260, 256, 1750, 2833, 3914, 4398, 5650, 6752, 8237, 789, 1525, 2944, 4174, 4681, 5493, 7090, 7806, 878, 1623, 3095, 4113, 4398, 5580, 7218, 7806, 901, 2030, 2965, 4026, 4376, 5892, 6791, 7527, 489, 2111, 2833, 3364, 5096, 5650, 6612, 7602, 752, 2008, 3032, 3666, 4903, 5697, 6740, 7773, 893, 2051, 2151, 3884, 4251, 5603, 6612, 8189, 1101, 1732, 2432, 3741, 5036, 5874, 6399, 8199, 884, 1550, 2492, 3329, 4839, 5694, 6704, 7797, 103, 1708, 2339, 3392, 4539, 6086, 6625, 8248, 390, 1876, 2610, 3407, 5085, 5963, 6293, 8179, 804, 1881, 3022, 3732, 5193, 5832, 7100, 8193, 308, 1620, 3008, 4145, 4966, 5832, 6830, 7927, 684, 2046, 2803, 3916, 4556, 6063, 6966, 7557, 231, 1280, 3080, 3828, 4437, 6175, 7143, 7716, 756, 1928, 2798, 3819, 4945, 5413, 7014, 8009, 356, 2107, 2795, 3472, 5069, 5981, 7246, 7799, 115, 1553, 2208, 3307, 5122, 6149, 6385, 7321, 465, 1227, 2874, 3822, 5065, 5797, 6442, 8098, 443, 1570, 2401, 3873, 4360, 5787, 6224, 7826, 993, 1806, 3037, 3417, 4288, 5719, 6391, 8248, 784, 1561, 2728, 3261, 4952, 5643, 6410, 8248, 150, 1768, 2238, 3376, 4364, 5762, 6526, 7311, 1029, 2001, 2775, 3395, 5148, 5224, 7197, 7829, 643, 1635, 2775, 4145, 4368, 5767, 6965, 7936, 510, 1620, 2128, 3776, 5038, 6103, 6786, 8093, 1097, 1523, 3064, 4018, 5165, 5630, 7084, 7557, 1099, 1791, 2924, 4174, 4980, 5883, 7132, 7421, 779, 2079, 3060, 3990, 4470, 5219, 6515, 7723, 804, 2046, 3135, 4108, 5038, 6195, 7168, 7723, 308, 1791, 3110, 3909, 5038, 5378, 7239, 8147, 756, 1403, 2560, 4026, 4852, 5832, 6979, 7753, 650, 1833, 2936, 4005, 4872, 5963, 6402, 7439, 492, 1665, 2667, 3816, 4369, 5930, 7047, 8198, 492, 1786, 2667, 3736, 4873, 5569, 6263, 7520, 247, 1168, 2964, 3394, 4883, 5636, 7038, 7983, 494, 1609, 2355, 3652, 4799, 5810, 6446, 7996, 774, 1724, 2869, 3672, 4661, 5487, 6240, 8138, 465, 1946, 2221, 3981, 5011, 5729, 7013, 7611, 465, 2118, 2221, 3573, 4462, 6086, 6264, 7350, 465, 2114, 2464, 3802, 4443, 6207, 6626, 7465, 304, 1492, 2429, 3492, 4651, 5995, 7135, 7899, 288, 1738, 2627, 3452, 4834, 6162, 6803, 8101, 356, 1919, 3026, 3206, 4448, 5548, 6901, 7873, 650, 2065, 2716, 3559, 5075, 5870, 7048, 7577, 944, 2118, 2494, 3456, 4664, 5500, 6874, 7993, 875, 2118, 2453, 3456, 4703, 5839, 6493, 7875, 835, 1349, 3112, 3815, 4330, 5371, 6255, 8190, 774, 1494, 2464, 3690, 4937, 5876, 6878, 8226, 1041, 1732, 2534, 3240, 4740, 5742, 6224, 8136, 613, 1378, 2231, 3393, 4321, 5364, 6357, 7655, 401, 1974, 2780, 3187, 4267, 6022, 6464, 7386, 935, 1664, 2469, 4068, 5153, 5865, 6400, 7736, 935, 1104, 3095, 3206, 5088, 5250, 6752, 8147, 186, 1791, 3006, 3645, 5104, 6103, 7023, 7720, 935, 1791, 2899, 4114, 4630, 6211, 7023, 7720, 935, 1998, 2834, 3516, 4798, 6129, 7201, 8076, 935, 2017, 2838, 3825, 5153, 5635, 6794, 7949, 935, 1648, 3110, 3825, 4822, 6211, 6794, 7764, 935, 2017, 2164, 3893, 4798, 6025, 6794, 8185, 276, 1996, 2181, 3746, 4495, 5386, 6581, 7557, 699, 1695, 2137, 4125, 4993, 5755, 6911, 7826, 183, 1684, 2970, 4145, 4878, 5944, 6980, 7717, 552, 1623, 2608, 3448, 4828, 6086, 6430, 7605, 650, 1286, 2936, 4103, 4872, 5504, 7232, 7904, 113, 1265, 2279, 3708, 4320, 5802, 6719, 7367, 492, 1816, 2479, 3332, 4279, 5714, 6790, 8200, 492, 1189, 2492, 3900, 4426, 5675, 7223, 7702, 492, 1158, 2378, 4067, 4620, 5675, 6398, 8124, 492, 1758, 3055, 3778, 4818, 6217, 6567, 7821, 113, 1477, 2378, 3537, 4401, 6142, 6674, 7913, 976, 1337, 2740, 3423, 5050, 6005, 6703, 8070, 895, 1141, 2891, 3548, 4910, 5977, 6874, 8005, 1067, 1350, 2511, 3165, 4995, 5889, 6532, 8056, 778, 1736, 2891, 3717, 4804, 5694, 6373, 7508, 1003, 1850, 2511, 4126, 4536, 5624, 6832, 8039, 113, 1770, 2462, 3517, 4670, 5441, 6933, 7986, 1038, 1156, 2740, 3748, 4641, 6213, 7184, 8140, 271, 1582, 2222, 3634, 4774, 6015, 7194, 7768, 1024, 1499, 2336, 3427, 4547, 5623, 6722, 8046, 424, 1919, 3108, 3188, 4589, 5553, 6536, 7264, 308, 2090, 2998, 3188, 4287, 6205, 6709, 7720, 1056, 1620, 2943, 3983, 5058, 6087, 6918, 7421, 390, 2063, 3007, 4011, 4287, 6063, 6515, 7723, 308, 1874, 3008, 4067, 4287, 5630, 6996, 7591, 952, 1198, 2754, 3452, 4359, 5276, 7157, 7807, 650, 1469, 2476, 4095, 4614, 5220, 6930, 7606, 1066, 2048, 3090, 3954, 4337, 5577, 6367, 7886, 993, 2050, 3126, 3356, 4874, 5983, 7048, 8109, 784, 1469, 3066, 3678, 4351, 5806, 6807, 7910, 299, 1440, 2844, 3599, 4467, 6145, 6622, 7828, 150, 1630, 2894, 3847, 4981, 6002, 7197, 8061, 1025, 2055, 2894, 3676, 4368, 6167, 6765, 8045, 1025, 2009, 2554, 3404, 4687, 5631, 6437, 8143, 1025, 1499, 2961, 3393, 4279, 5978, 6515, 7405, 610, 1489, 3040, 3502, 4270, 5220, 6769, 7361, 424, 1747, 3140, 4087, 4966, 5515, 6941, 7607, 1090, 1146, 2363, 3917, 5199, 5294, 6852, 7872, 610, 1809, 2502, 3206, 4558, 6092, 6776, 7288, 424, 1978, 3109, 3801, 4631, 5515, 7069, 7732, 160, 2079, 2578, 3909, 5079, 6195, 6515, 7607, 778, 1755, 2679, 3971, 4215, 5515, 6684, 8266, 104, 1318, 2554, 3832, 4359, 6026, 7156, 8112, 104, 1146, 2363, 3704, 4273, 5796, 7004, 8039, 850, 1529, 2520, 3763, 4635, 5950, 6775, 7570, 993, 1529, 2583, 3908, 4449, 5321, 7197, 7674, 993, 1550, 2482, 4078, 4978, 5503, 7042, 7784, 993, 1529, 2750, 3527, 4467, 5313, 6663, 8213, 1011, 2053, 2923, 3295, 4327, 5874, 6263, 8252, 1024, 1873, 2923, 3654, 5011, 5631, 6286, 8208, 1024, 1919, 2985, 3796, 4241, 5653, 6734, 8266, 678, 1269, 2470, 3240, 4435, 5473, 6726, 7761, 678, 1489, 2944, 3445, 4639, 5702, 6830, 7260, 970, 1255, 2944, 3240, 4589, 5430, 7107, 7262, 504, 1897, 2944, 3710, 4781, 5598, 6286, 7492, 678, 1919, 2944, 3856, 4912, 5586, 6670, 8248, 643, 1540, 2944, 3929, 4845, 6146, 6830, 8054, 750, 1562, 2944, 3756, 5106, 5216, 6650, 7787, 211, 1269, 2167, 3950, 4379, 5981, 6841, 8135, 678, 1269, 2783, 4027, 4849, 5981, 7010, 7494, 831, 1369, 2710, 4096, 4419, 5620, 6382, 7546, 424, 1269, 2710, 3358, 4343, 5918, 6478, 7951, 391, 1269, 2629, 3691, 4542, 6217, 6310, 7260, 1090, 1918, 2750, 3488, 4319, 5740, 6850, 7476, 970, 1858, 2783, 3233, 4867, 5810, 6265, 8081, 750, 1455, 2648, 4145, 5183, 6007, 6617, 7962, 678, 1269, 2924, 4055, 5159, 5918, 6980, 8227, 571, 1777, 2944, 3543, 4470, 5641, 6734, 8179, 308, 1847, 2598, 4145, 5166, 5219, 6786, 8080, 884, 1774, 2636, 4095, 5000, 5303, 6740, 7995, 995, 1108, 2724, 3593, 4321, 5664, 7066, 7378, 165, 1557, 2741, 3472, 4379, 5926, 6663, 7616, 876, 2114, 2365, 3568, 4855, 5800, 6692, 8086, 575, 1510, 2579, 3656, 4205, 5620, 7127, 7618, 715, 1653, 2486, 3229, 4580, 6004, 7033, 7339, 1097, 1467, 2941, 3982, 5160, 5385, 6740, 7791, 484, 1623, 2959, 4108, 4555, 6025, 7129, 7838, 488, 2017, 2781, 3803, 5080, 5385, 6752, 7949, 818, 1874, 2989, 3803, 5061, 6103, 7023, 8260, 818, 2017, 3117, 3710, 4888, 5612, 7226, 7720, 488, 1528, 3117, 3367, 4888, 5635, 7077, 8147, 818, 2017, 2781, 3893, 4624, 5901, 6794, 8223, 488, 1528, 2914, 3825, 4888, 6081, 7077, 7766, 4, 2 ]
[ 1, 16, 54, 30, 5, 43, 23, 5, 31, 14, 66, 5, 43, 48, 5, 43, 14, 30, 5, 17, 54, 30, 35, 66, 40, 51, 16, 54, 5, 66, 73, 5, 42, 33, 66, 5, 45, 66, 5, 41, 20, 63, 5, 43, 45, 53, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 6211, 6709, 8196, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 1648, 3065, 3893, 4624, 6186, 7077, 8147, 789, 2111, 2839, 4006, 4555, 5534, 6604, 7715, 256, 1349, 3064, 3358, 5138, 5832, 7157, 8236, 459, 1695, 3080, 3838, 5138, 5263, 6970, 7791, 459, 1687, 2669, 3818, 4631, 6010, 6783, 7960, 326, 1349, 2133, 3413, 4508, 5629, 6570, 7657, 938, 1562, 2951, 3445, 5096, 5567, 6352, 7344, 750, 1120, 3147, 3961, 5169, 5811, 6343, 7831, 752, 1415, 2775, 3271, 4780, 5797, 6954, 8069, 160, 1120, 2463, 3957, 4556, 5524, 6847, 7740, 401, 1989, 2960, 3732, 5153, 5713, 6225, 8092, 1037, 1402, 3098, 3630, 4991, 5840, 7012, 8061, 709, 1365, 2801, 3516, 4762, 6163, 6320, 7782, 541, 2127, 2725, 3424, 4948, 5497, 6623, 7843, 1059, 1332, 3040, 3413, 4586, 5250, 6880, 8117, 165, 1755, 2574, 3883, 4216, 6180, 6798, 8187, 1049, 1346, 2958, 3325, 4661, 5578, 6551, 8108, 347, 1933, 2823, 3648, 5146, 6169, 6580, 8251, 1049, 1146, 2944, 3154, 4927, 5858, 6251, 7279, 802, 1995, 2643, 3781, 4638, 5658, 6826, 8212, 814, 2011, 2652, 3729, 4327, 5585, 6758, 7943, 793, 1983, 3040, 4007, 4339, 5506, 7004, 7696, 319, 1293, 3040, 3561, 4254, 5860, 7229, 7721, 880, 1183, 3029, 3557, 5123, 6158, 6334, 7287, 803, 1129, 3094, 3431, 4730, 5819, 6886, 7487, 581, 2050, 2564, 3822, 4857, 5771, 6735, 7273, 278, 1183, 2642, 3421, 4356, 5268, 6735, 7581, 665, 1183, 2845, 3779, 5184, 5655, 6954, 7605, 665, 1183, 2705, 3384, 4607, 5876, 6965, 7605, 569, 1183, 2888, 3587, 5050, 6075, 6991, 8091, 806, 1183, 2831, 3679, 4575, 5836, 6782, 7676, 887, 1183, 2994, 3776, 4928, 5732, 7229, 7737, 610, 1773, 2330, 3826, 4369, 5938, 6235, 8245, 211, 1700, 3095, 3376, 5022, 6103, 7149, 8209, 715, 1427, 2695, 3376, 4374, 6103, 6918, 7825, 217, 2067, 3040, 3870, 4949, 5929, 7181, 7528, 761, 2024, 2455, 3356, 4981, 5464, 6909, 7944, 814, 1490, 3040, 3539, 4321, 6015, 6680, 8133, 569, 2099, 2953, 4037, 5036, 6002, 7197, 8245, 404, 2118, 2877, 3237, 5031, 5581, 7229, 7930, 646, 1539, 2491, 3429, 4504, 5603, 7018, 7722, 986, 1649, 3013, 4037, 4900, 5914, 6231, 7858, 804, 1847, 2567, 3540, 4727, 5503, 6364, 7537, 756, 1777, 2659, 3789, 5056, 5942, 6565, 7602, 317, 1945, 2349, 4097, 5167, 5952, 6810, 7680, 825, 1564, 2695, 3272, 4611, 6075, 7218, 7825, 792, 1289, 2455, 4073, 4795, 5512, 7133, 7920, 806, 1985, 2890, 3192, 4855, 5658, 7057, 7532, 487, 2113, 2156, 4072, 4635, 5722, 6442, 8050, 986, 1553, 2436, 3623, 4945, 5339, 7002, 8016, 545, 1808, 2156, 3268, 4321, 5970, 7086, 8140, 839, 1550, 2678, 3416, 4813, 6002, 6731, 8117, 881, 1692, 2311, 3818, 4716, 6002, 6957, 7996, 806, 2053, 2903, 3513, 4338, 5762, 7237, 8151, 807, 1458, 2377, 3873, 5019, 5643, 6308, 7799, 807, 2117, 3033, 3822, 4404, 6010, 6761, 7772, 646, 1600, 3029, 3351, 4530, 6168, 7160, 7549, 1043, 1286, 2348, 3562, 4555, 5523, 6847, 7873, 1080, 1993, 2154, 3751, 5092, 5212, 6818, 8098, 880, 1496, 2988, 4037, 4228, 5585, 6899, 7770, 373, 1510, 2716, 3508, 4881, 5610, 6655, 7420, 1005, 1510, 2515, 3424, 4666, 6175, 6671, 7256, 761, 1510, 2710, 3869, 4818, 5657, 6657, 8071, 117, 1510, 3105, 3229, 4421, 5364, 6643, 8140, 600, 1653, 2751, 3953, 5000, 5585, 6879, 7881, 892, 1633, 2845, 3434, 4489, 6145, 6874, 7682, 399, 1270, 3137, 3421, 4774, 6088, 7043, 7730, 526, 1301, 3040, 3421, 4852, 5898, 6805, 8140, 786, 2050, 2185, 3329, 4766, 6133, 6494, 7559, 612, 1199, 2933, 3549, 4418, 5322, 6944, 7400, 266, 1241, 2842, 3304, 4364, 6018, 6311, 8068, 784, 1820, 2931, 3355, 4459, 5293, 6494, 7384, 335, 1504, 2391, 4137, 4562, 5236, 6540, 8129, 678, 1385, 2564, 4093, 4191, 5787, 7017, 8173, 1033, 1812, 2564, 4087, 4652, 5716, 6265, 7303, 160, 1280, 2564, 3660, 5125, 6205, 6786, 8240, 304, 1562, 3008, 3932, 4553, 5534, 6852, 8083, 684, 1804, 2866, 3516, 5095, 5968, 7168, 7720, 139, 1794, 3124, 4126, 5134, 5824, 6654, 8069, 1023, 1388, 2986, 3342, 4275, 6118, 6315, 7861, 896, 1363, 2497, 3616, 5114, 5224, 6836, 7756, 781, 1806, 2766, 3878, 4233, 6200, 6224, 7917, 761, 1440, 2826, 3882, 4682, 5548, 7017, 7534, 308, 1700, 2238, 3864, 5193, 6123, 7100, 7807, 684, 1363, 2925, 3982, 5157, 5767, 6820, 8076, 935, 1566, 3128, 3803, 5007, 5385, 7168, 7641, 914, 1998, 2991, 3645, 4622, 6211, 7132, 8076, 510, 2068, 3007, 3516, 4912, 6186, 7084, 7664, 105, 1847, 2991, 3226, 4224, 5661, 6348, 7664, 276, 1752, 2454, 3206, 4374, 5590, 6750, 7442, 654, 1345, 2971, 3917, 4863, 6107, 7132, 7492, 617, 1185, 2792, 3240, 4888, 6117, 6588, 7641, 211, 1147, 2936, 3578, 5060, 5650, 6969, 7303, 761, 1266, 2579, 3887, 5040, 5828, 7137, 8050, 459, 1294, 2921, 3995, 4364, 5263, 6790, 7706, 737, 1564, 2547, 3536, 4460, 5603, 6663, 7983, 1004, 1289, 2683, 3270, 4358, 5589, 6917, 7709, 363, 1550, 3139, 3329, 4417, 5837, 6483, 8151, 487, 1948, 2654, 3376, 4539, 5955, 6917, 7939, 643, 1388, 3029, 4120, 5022, 5870, 6270, 7669, 940, 1550, 2829, 3697, 4364, 5925, 6302, 7899, 419, 1467, 3021, 3575, 5058, 5413, 6979, 8078, 914, 2001, 3021, 3665, 4343, 6175, 7207, 7715, 475, 2068, 3021, 4113, 4622, 6195, 6604, 7631, 899, 1562, 2542, 3771, 4782, 5493, 6607, 7865, 489, 1752, 2655, 3822, 5150, 5413, 6809, 8151, 105, 1876, 3007, 3595, 5160, 6182, 7218, 7508, 216, 1981, 2594, 3671, 4720, 5694, 7120, 8267, 893, 1164, 2579, 3478, 5069, 5862, 6358, 7887, 504, 1938, 2246, 3848, 5091, 5926, 7229, 7834, 223, 1777, 2924, 3355, 4533, 5279, 6566, 7386, 150, 1773, 2924, 4096, 5129, 5684, 7168, 7664, 1035, 1924, 3098, 3955, 5050, 5981, 6705, 8079, 1035, 1915, 2943, 4096, 4861, 5811, 6985, 7676, 308, 1991, 2924, 4151, 4212, 6181, 7120, 8195, 1099, 1791, 2947, 3932, 4551, 5661, 7010, 7570, 1097, 1791, 2957, 3866, 4704, 6051, 7058, 7641, 541, 1924, 2970, 3341, 4762, 5590, 6331, 7677, 225, 1349, 2783, 3602, 4737, 5503, 6525, 8244, 767, 1918, 2244, 3973, 4379, 5441, 6647, 8261, 363, 1755, 2795, 3812, 4236, 6058, 7173, 7915, 993, 1363, 2346, 4066, 4321, 6007, 7165, 7588, 104, 1252, 2456, 3949, 4374, 5777, 6820, 7339, 887, 2061, 2357, 3582, 5138, 5507, 7014, 8227, 211, 1721, 2975, 3631, 5020, 5689, 6921, 7881, 684, 1660, 2925, 3932, 5012, 5661, 6830, 8266, 804, 1944, 2326, 3188, 4583, 6128, 6979, 8195, 308, 2046, 2803, 3803, 4822, 5883, 6979, 7806, 804, 2046, 2783, 3945, 5183, 6195, 6786, 8237, 308, 1668, 3008, 4071, 5166, 6085, 6786, 7421, 804, 1508, 2803, 4068, 5159, 6051, 7239, 7766, 1099, 1998, 3110, 3916, 4912, 5705, 7162, 7876, 1020, 1601, 2946, 3691, 5145, 6171, 6486, 7706, 987, 1919, 3061, 3994, 4582, 5931, 7184, 7494, 761, 1782, 2922, 3628, 4736, 6034, 6566, 7843, 398, 1971, 2355, 3350, 4620, 5800, 7174, 7873, 1074, 1821, 3116, 3394, 4495, 6075, 6698, 8263, 884, 1472, 2951, 4091, 4752, 5810, 7187, 8211, 893, 2100, 3066, 3924, 4364, 6010, 6560, 8161, 893, 1597, 3029, 4037, 4408, 5890, 6566, 7776, 575, 1636, 2858, 3668, 4716, 5824, 6654, 7404, 308, 2111, 3006, 4152, 5193, 6125, 7206, 7643, 756, 1874, 2151, 3276, 5164, 5548, 7135, 7367, 952, 1998, 3097, 3521, 5029, 5294, 6771, 8099, 1025, 1938, 2901, 3639, 4682, 6118, 7072, 8225, 363, 2052, 2585, 3482, 4454, 5875, 6885, 7379, 884, 1518, 3097, 3579, 4804, 5498, 7151, 7657, 386, 1400, 2383, 3329, 4642, 5690, 6368, 7253, 923, 2048, 2660, 3540, 4539, 5869, 6900, 7603, 288, 1439, 2348, 4113, 4214, 5821, 6898, 7311, 308, 1562, 2238, 3374, 4374, 6137, 7095, 7384, 1099, 2068, 2746, 4011, 4551, 6103, 6752, 8076, 186, 2001, 2880, 3803, 5104, 6085, 6752, 7732, 153, 1280, 2709, 3564, 4867, 6205, 6786, 7876, 171, 1648, 2988, 3440, 5083, 5942, 6740, 7846, 518, 1752, 2454, 3225, 4983, 5678, 7103, 8083, 256, 1648, 2970, 3350, 4398, 5521, 7129, 8126, 256, 1851, 2729, 4166, 5080, 5550, 7120, 7664, 518, 2097, 3021, 4006, 4945, 6048, 6604, 7476, 256, 1750, 2340, 4071, 5080, 5550, 6604, 7509, 878, 2073, 2468, 3291, 4923, 5840, 7111, 7826, 959, 2032, 2560, 3987, 4780, 6175, 6755, 7715, 335, 1370, 2945, 3717, 4199, 6017, 6521, 7397, 277, 1914, 2674, 3897, 4585, 6088, 7169, 8108, 277, 1914, 2322, 4138, 4706, 5435, 6913, 7714, 277, 1914, 2674, 3267, 4562, 5714, 7007, 7813, 277, 1708, 2965, 4081, 4595, 6203, 6484, 8076, 277, 1633, 2192, 3906, 4314, 5639, 6814, 7630, 1001, 1873, 2678, 3199, 5181, 6002, 6694, 7831, 1022, 1854, 3090, 3493, 5012, 6019, 6947, 7620, 942, 1893, 2592, 3169, 4884, 5352, 6803, 8215, 803, 1512, 2610, 3325, 5022, 5873, 7206, 7889, 1102, 1338, 2648, 3963, 4738, 5818, 7197, 7984, 750, 1141, 3026, 4099, 4801, 5968, 7023, 7732, 211, 1566, 3026, 4153, 4191, 6040, 7111, 7259, 390, 1510, 2936, 4074, 4387, 5550, 6892, 8080, 211, 1164, 2741, 3710, 5139, 5590, 7132, 7570, 390, 1782, 2793, 4174, 4323, 6187, 6820, 7538, 1035, 1834, 2880, 3909, 4215, 5981, 6674, 7831, 641, 1460, 2751, 3190, 5026, 5378, 7129, 7776, 1084, 1944, 2872, 3363, 4604, 5811, 7096, 7678, 487, 2068, 3116, 3770, 4593, 5576, 6260, 8197, 545, 1700, 3109, 3394, 4872, 5800, 6921, 7279, 641, 1189, 2751, 3810, 4896, 6119, 6859, 7773, 1057, 1854, 2818, 3740, 4982, 6222, 6632, 7993, 536, 1496, 2912, 4003, 4805, 5452, 6663, 8092, 981, 1238, 2975, 4025, 4532, 5703, 6701, 7510, 663, 1512, 2463, 3649, 4829, 6165, 6690, 8040, 831, 1512, 2661, 3819, 4912, 5968, 6392, 7476, 1035, 1141, 2402, 3826, 4305, 5684, 6633, 7279, 850, 1280, 2298, 3873, 4912, 5999, 6704, 7290, 831, 1876, 2688, 3970, 5129, 5843, 6688, 7476, 216, 1991, 2661, 3553, 4954, 6039, 7058, 8179, 804, 1994, 2924, 3679, 4343, 5678, 6708, 8267, 308, 1881, 2803, 3516, 4925, 6129, 6709, 8245, 956, 1963, 2996, 4108, 5038, 5661, 7006, 7949, 818, 2068, 2838, 4174, 5061, 6051, 6979, 7766, 818, 1791, 3128, 4071, 5104, 5832, 6709, 8267, 818, 1528, 2957, 4018, 4630, 5705, 6786, 8147, 4, 2 ]
[ 1, 64, 66, 63, 48, 53, 44, 55, 5, 41, 26, 52, 78, 5, 17, 75, 5, 76, 26, 52, 30, 5, 30, 17, 51, 64, 5, 28, 44, 42, 14, 54, 5, 66, 73, 5, 53, 39, 51, 5, 31, 33, 63, 5, 16, 62, 45, 63, 16, 54, 64, 5, 43, 26, 5, 44, 54, 5, 31, 16, 5, 33, 63, 3, 225, 1597, 2491, 3400, 4902, 6189, 6310, 7920, 256, 1597, 2593, 3993, 4549, 5998, 7223, 7405, 256, 2106, 2833, 4068, 4387, 6097, 6529, 7405, 859, 1570, 2560, 4153, 4638, 6195, 6917, 7375, 579, 1971, 2340, 3532, 5075, 5942, 6740, 8164, 543, 1496, 3150, 3648, 4764, 5767, 6331, 7723, 617, 2073, 2654, 4096, 4214, 5890, 6604, 7627, 952, 1668, 2654, 3932, 5169, 5550, 6239, 8266, 1062, 1407, 2991, 4068, 4954, 6002, 6697, 7303, 893, 1415, 3139, 3950, 5085, 5512, 7188, 7783, 540, 1736, 2360, 3506, 4571, 6040, 6826, 7528, 1080, 1504, 2432, 3165, 4352, 6069, 7127, 8139, 1080, 1834, 2958, 3434, 4297, 5202, 6998, 7480, 992, 1640, 2672, 3986, 5032, 5884, 7244, 7934, 545, 1177, 2717, 4103, 4408, 5893, 6403, 7778, 582, 1118, 2814, 3227, 4294, 5660, 6432, 7510, 582, 1550, 2940, 3719, 4702, 5810, 6430, 8149, 986, 1655, 2615, 3941, 5148, 6165, 6365, 7447, 767, 1211, 2717, 4103, 5084, 5368, 7111, 7927, 223, 1758, 2925, 3314, 5080, 5260, 6463, 7948, 731, 1640, 2293, 4103, 4993, 5260, 6952, 7547, 767, 1886, 2661, 3251, 4536, 5935, 6388, 8179, 223, 1669, 2717, 3981, 4764, 5664, 6410, 7744, 1036, 1806, 2934, 3230, 4973, 6163, 6908, 7261, 986, 1177, 2515, 4142, 5168, 5589, 6517, 8075, 545, 1621, 2152, 3259, 5043, 5885, 6691, 7691, 582, 2050, 2481, 4103, 4364, 5565, 6482, 7775, 582, 1655, 2353, 4079, 4488, 6188, 6403, 7349, 986, 1912, 2565, 3493, 4887, 5224, 6267, 7770, 1011, 2008, 2163, 3981, 5153, 6147, 7069, 7447, 961, 1755, 2231, 3756, 4577, 5573, 6781, 7423, 970, 1376, 3080, 3390, 5134, 5349, 6225, 7547, 1011, 1865, 2481, 4136, 4485, 5663, 6646, 8094, 938, 1156, 2958, 3499, 4536, 5950, 6777, 7857, 271, 1110, 2868, 3455, 4773, 5210, 6613, 8179, 1081, 1637, 2365, 3196, 4713, 6070, 6284, 7675, 899, 1534, 2762, 3904, 5129, 5700, 6308, 7652, 256, 2030, 3026, 4124, 4212, 5677, 6613, 8016, 518, 1534, 3000, 3188, 5150, 5456, 6813, 7831, 256, 1452, 2941, 3188, 5159, 5548, 7239, 8030, 901, 1750, 3028, 3361, 4877, 5661, 6810, 7297, 541, 1789, 2328, 3183, 4180, 5297, 6296, 7891, 776, 1173, 3056, 3370, 5053, 5493, 6677, 7768, 736, 1983, 3149, 4081, 4253, 5658, 6969, 7253, 360, 1205, 2618, 3489, 4230, 5836, 6631, 7956, 249, 1199, 2769, 3995, 4730, 5742, 6321, 7779, 310, 1199, 2353, 3268, 4921, 5980, 7186, 7369, 725, 1503, 3001, 4090, 4688, 5829, 6383, 7528, 862, 1940, 2869, 3878, 4933, 5226, 6706, 7525, 360, 2127, 2869, 3460, 5054, 6169, 6518, 7313, 1101, 1772, 2869, 3788, 4401, 5504, 7020, 8178, 363, 1650, 2869, 3709, 4357, 5318, 7087, 7683, 581, 1171, 2710, 3599, 4564, 6179, 6230, 8226, 1023, 1650, 2359, 3720, 4319, 5499, 6706, 8139, 339, 2058, 2871, 3159, 4714, 5972, 6926, 7299, 917, 1284, 3091, 4078, 4915, 5696, 6749, 8180, 531, 2118, 3058, 3599, 4826, 5411, 6530, 7427, 693, 1180, 2869, 3245, 5117, 5466, 6832, 7405, 339, 1503, 2796, 3850, 5049, 5658, 7024, 7933, 1030, 1503, 2581, 4022, 5072, 5450, 6973, 8127, 738, 1503, 2402, 4168, 4442, 6114, 6936, 7852, 1063, 1463, 2407, 3425, 4587, 6147, 7016, 7831, 1024, 1799, 2545, 3709, 4590, 5364, 6726, 7912, 547, 1199, 2494, 3654, 4883, 5530, 6520, 7885, 692, 1199, 2653, 3250, 5022, 5413, 7230, 7792, 938, 1912, 2868, 3500, 5153, 5288, 6707, 7939, 970, 1199, 2911, 3525, 5134, 5475, 6612, 8193, 1014, 1264, 2708, 3205, 4512, 5224, 6771, 7972, 1014, 1797, 2316, 4146, 4448, 5899, 6314, 8150, 240, 1304, 2316, 3776, 4179, 6007, 7207, 8227, 240, 1304, 2946, 3788, 4351, 6014, 6627, 8188, 518, 1961, 3098, 4152, 5163, 5219, 6967, 7920, 844, 1826, 2371, 3776, 4318, 6164, 6749, 7477, 271, 1479, 2429, 3648, 4539, 5515, 6550, 7808, 875, 1865, 2271, 3785, 4777, 6176, 7044, 7904, 736, 1582, 2553, 4043, 5043, 5308, 6403, 7831, 645, 1318, 2871, 3751, 4281, 5624, 6859, 7720, 401, 1721, 2308, 3512, 4822, 5573, 6891, 8209, 955, 1932, 2679, 3493, 5044, 5300, 7218, 7641, 211, 1146, 2679, 3982, 4875, 6058, 7152, 7887, 1056, 1939, 2984, 4098, 4215, 5983, 6988, 8195, 390, 1916, 2520, 4093, 5153, 5702, 6709, 7965, 288, 1467, 2985, 3188, 4343, 6205, 6630, 7948, 663, 1897, 2679, 3492, 4630, 5630, 6852, 8245, 1056, 1919, 2363, 4027, 5143, 6051, 6852, 8066, 211, 1791, 2866, 3737, 4589, 5620, 6515, 7918, 1011, 1984, 2143, 3539, 4592, 5498, 6901, 8227, 1016, 1728, 2902, 3810, 4181, 6114, 6769, 7895, 1008, 1916, 2452, 4022, 4672, 5657, 6678, 8252, 736, 1401, 2748, 3656, 4994, 5742, 6957, 7810, 179, 1469, 2279, 4086, 4683, 5745, 6957, 8088, 966, 1582, 2512, 3462, 4364, 5724, 6309, 7400, 884, 1151, 2425, 3566, 4587, 5787, 6801, 7823, 763, 1635, 2727, 3770, 4804, 5205, 6851, 7593, 1088, 1650, 2725, 3269, 4702, 5325, 6377, 8105, 249, 1826, 2758, 3552, 4742, 5988, 6493, 7885, 363, 1435, 2972, 3643, 4664, 5298, 6358, 7456, 884, 1650, 2629, 3600, 5180, 6077, 6334, 8190, 1036, 1835, 2502, 3672, 4880, 6116, 6663, 7298, 493, 1521, 3091, 3245, 4811, 5645, 6493, 7324, 339, 1548, 2788, 4112, 5093, 5656, 6639, 7982, 546, 1110, 3073, 3684, 4740, 6153, 6923, 7678, 531, 1812, 2345, 3329, 4314, 5799, 6710, 8162, 333, 1503, 2629, 4087, 4248, 5411, 6661, 8178, 1067, 1503, 2911, 4087, 4900, 5822, 6422, 7637, 150, 1503, 2807, 3573, 4675, 6060, 6760, 8217, 725, 1199, 2868, 3279, 4858, 5224, 7102, 7860, 1081, 1496, 2842, 3679, 4321, 6152, 6452, 7759, 390, 1250, 2715, 3680, 5159, 5687, 6646, 7764, 390, 1915, 2391, 3803, 4867, 5840, 7077, 7658, 390, 1881, 2391, 3226, 5139, 6204, 7023, 7570, 1056, 1675, 2254, 3803, 4276, 5694, 7010, 8195, 288, 1146, 3026, 4171, 5060, 5630, 6709, 8260, 374, 2018, 2750, 4107, 4205, 6162, 7008, 7664, 631, 1498, 3126, 3623, 4617, 6104, 7003, 8044, 1017, 1162, 2887, 4128, 5124, 5397, 6765, 7626, 531, 1828, 2344, 3384, 4919, 5321, 6830, 7501, 1030, 1302, 3137, 3925, 4922, 5441, 6368, 8190, 693, 1509, 3123, 3417, 4335, 5819, 6781, 8228, 223, 1454, 2431, 3417, 4955, 6179, 6373, 7522, 537, 1454, 2307, 3233, 4503, 6221, 7148, 7366, 91, 1917, 2635, 3999, 4351, 5729, 7014, 7843, 935, 2028, 2754, 3680, 4181, 5705, 6891, 7825, 935, 2028, 2611, 3945, 4624, 6195, 6852, 8093, 186, 2032, 2164, 3240, 5159, 5219, 7098, 7641, 935, 2073, 2806, 3645, 5060, 5385, 7168, 8147, 935, 1648, 2781, 3866, 5044, 5219, 7239, 8223, 541, 1286, 3026, 3904, 4801, 5801, 7222, 7808, 225, 1570, 2349, 3487, 5160, 5298, 7152, 7677, 654, 1695, 2349, 3595, 4764, 5963, 7129, 7664, 228, 1695, 3048, 3914, 4344, 5413, 6338, 8132, 228, 2052, 3048, 4168, 4762, 5767, 6515, 7563, 228, 1750, 2904, 3297, 4859, 5719, 7181, 7715, 186, 2078, 2858, 3951, 4983, 6175, 6688, 7563, 860, 2017, 2806, 3595, 4704, 6139, 6996, 8196, 488, 2017, 2914, 3595, 4624, 6139, 7124, 7766, 488, 1528, 2914, 3825, 4624, 6139, 6794, 8223, 818, 1622, 3065, 4170, 4798, 5241, 6996, 7949, 512, 1963, 3043, 4166, 5038, 5612, 6979, 8179, 987, 1400, 2754, 4124, 4983, 6085, 6830, 8193, 862, 1331, 2210, 4082, 4611, 6086, 6820, 7687, 1023, 1164, 2422, 3426, 4644, 5224, 6803, 8163, 487, 1692, 2659, 3182, 4321, 5633, 7163, 7813, 103, 1682, 2311, 3309, 4539, 5364, 6830, 7519, 356, 1858, 2422, 3472, 4303, 6118, 6777, 7973, 211, 1858, 2495, 3692, 4398, 5515, 7006, 7965, 211, 1924, 2946, 3990, 4307, 6211, 7181, 7732, 397, 1540, 3105, 4039, 4321, 5787, 7091, 7528, 923, 2008, 3035, 3251, 4604, 5765, 7002, 8117, 737, 1550, 2710, 4007, 4309, 5551, 6725, 7442, 1004, 2061, 2926, 3623, 4708, 5884, 7140, 7270, 493, 2061, 2205, 3733, 4664, 5616, 6413, 7873, 192, 2118, 2623, 3245, 5069, 5663, 7041, 7622, 966, 1296, 2956, 3245, 4243, 5248, 6792, 7967, 465, 2120, 3041, 4007, 5122, 6125, 6998, 7369, 1101, 2100, 2316, 3318, 4321, 5970, 7219, 7761, 884, 1526, 2225, 3979, 4937, 5706, 7232, 8061, 271, 1349, 3005, 3486, 4233, 5777, 6398, 7879, 1025, 1865, 2149, 3769, 4586, 6025, 7201, 8205, 1025, 1494, 2868, 3771, 4845, 6163, 7085, 7936, 271, 1777, 2924, 3848, 5088, 5705, 6426, 8135, 643, 1171, 2865, 3498, 5125, 6183, 7079, 8150, 887, 1717, 2803, 3582, 4287, 6195, 7017, 8076, 887, 1717, 2340, 3642, 5169, 6195, 7010, 7677, 896, 1758, 2470, 4073, 4364, 5614, 6840, 7702, 1101, 1393, 2868, 3601, 4364, 5950, 6549, 7837, 1081, 1581, 2677, 3932, 4225, 6053, 6916, 7948, 1081, 2033, 3064, 3355, 5175, 5765, 7111, 8058, 887, 1141, 2357, 4151, 4598, 6000, 6642, 7908, 887, 1141, 2923, 3826, 4592, 6073, 7152, 7831, 887, 1635, 2678, 3917, 4774, 5260, 7100, 8236, 896, 1826, 2796, 3936, 4620, 5280, 7037, 8232, 462, 1695, 3116, 3485, 4689, 5633, 7231, 7817, 807, 1951, 2366, 3668, 5097, 6118, 6626, 7344, 807, 1545, 2595, 3329, 4298, 6135, 7010, 7313, 390, 1550, 3020, 3428, 4949, 5536, 7232, 8017, 308, 1286, 3135, 3662, 5026, 5694, 7132, 7485, 818, 2046, 3021, 3982, 4551, 5705, 7207, 7677, 914, 2041, 2984, 4108, 5104, 5767, 6774, 8083, 914, 2000, 3021, 4041, 5166, 6129, 7132, 7631, 512, 1791, 3021, 3188, 5159, 5573, 6979, 8179, 510, 1998, 3021, 4145, 5080, 5210, 7084, 8266, 967, 2046, 3064, 3891, 4888, 5614, 7120, 8266, 541, 1750, 2871, 3350, 4192, 6204, 6386, 7386, 391, 2098, 2559, 3595, 4181, 5300, 6752, 7421, 784, 1283, 2429, 3238, 5151, 5828, 6708, 7363, 363, 1252, 2487, 4110, 4901, 6118, 7126, 7856, 462, 1397, 2883, 3225, 4546, 5334, 6871, 7849, 137, 1397, 2495, 3973, 5040, 6180, 6865, 8061, 465, 2048, 2987, 3543, 4282, 6180, 6980, 7873, 344, 1930, 2156, 4147, 4683, 5863, 7083, 8189, 664, 1771, 2564, 3936, 4176, 5643, 6738, 7454, 664, 1993, 2564, 3943, 4952, 6104, 7181, 7758, 137, 1758, 2769, 3485, 5015, 5810, 6474, 8043, 692, 1494, 2905, 3365, 4636, 5954, 6856, 7614, 1067, 1541, 3058, 3517, 4212, 6154, 6357, 7929, 840, 2055, 2261, 4073, 4267, 5924, 7135, 7456, 876, 1930, 2132, 3660, 5170, 5965, 6941, 7995, 992, 1919, 2744, 3259, 4684, 5344, 6894, 7675, 113, 1210, 2846, 4072, 5171, 5640, 6581, 8040, 288, 2057, 3080, 4082, 4374, 6010, 6354, 7774, 860, 1945, 2895, 3188, 4366, 5901, 6410, 7591, 510, 2046, 2947, 3440, 5104, 6175, 7239, 8066, 914, 1620, 3128, 3440, 4888, 5883, 7023, 7557, 427, 2063, 2989, 3680, 4822, 6085, 7114, 8076, 484, 1874, 2730, 4068, 5080, 5210, 7077, 8076, 874, 1965, 2429, 3430, 4401, 5776, 7140, 7826, 617, 2111, 2560, 4089, 4912, 5767, 6799, 7367, 103, 1794, 2254, 3916, 5142, 5694, 6613, 8261, 304, 1116, 2533, 3190, 4606, 6128, 6465, 8267, 1052, 1640, 2492, 4037, 4795, 5935, 6385, 8221, 535, 1550, 2987, 3421, 5000, 5538, 6762, 7262, 1040, 1871, 2751, 3812, 4392, 5954, 7043, 8189, 536, 1640, 2316, 3741, 4522, 6191, 6847, 8129, 646, 1540, 3020, 3394, 4946, 5767, 6965, 7535, 668, 1553, 2156, 3936, 5135, 5771, 6403, 7555, 862, 2107, 2891, 4074, 4675, 5918, 7090, 8061, 665, 1758, 2312, 3589, 4278, 6078, 6426, 7329, 692, 1881, 2913, 3647, 5042, 6178, 6761, 8133, 104, 1268, 2186, 3643, 4954, 5251, 6872, 8210, 993, 1736, 2432, 3660, 4665, 5645, 6984, 7952, 1084, 1268, 2494, 3815, 4784, 5918, 6746, 8213, 807, 2065, 2349, 3376, 4777, 5869, 6684, 8190, 536, 1494, 2693, 4103, 4530, 5645, 6888, 7815, 807, 1424, 3020, 3329, 4777, 5970, 7131, 8207, 465, 2033, 2156, 3180, 4833, 5954, 6654, 7476, 150, 1472, 2225, 3358, 4586, 6154, 6592, 7451, 1025, 1777, 2659, 3743, 4870, 5539, 6528, 7986, 401, 1721, 2871, 3975, 4720, 5730, 7198, 7966, 390, 2001, 2726, 3917, 4586, 5983, 6716, 7421, 304, 2068, 2724, 4101, 4592, 5797, 6589, 7641, 1056, 2033, 3053, 4011, 5080, 6175, 7111, 8266, 804, 1458, 2258, 3201, 4513, 5216, 6486, 7641, 654, 2002, 2709, 4125, 5083, 5678, 6786, 7881, 654, 1525, 2725, 3754, 4630, 5605, 7168, 7707, 225, 2111, 2976, 3227, 4630, 5899, 6338, 7421, 256, 1756, 2554, 4011, 5167, 5610, 7160, 8083, 757, 1529, 2341, 4057, 4916, 5983, 6430, 7942, 967, 2073, 2833, 4145, 4326, 5935, 6895, 8266, 707, 1490, 2664, 3374, 4824, 6175, 6740, 7458, 579, 2127, 2959, 3623, 5044, 5503, 7019, 7270, 1102, 1490, 2554, 3592, 4559, 5378, 7161, 8236, 319, 1318, 3130, 4145, 4717, 5810, 6608, 7290, 536, 1582, 2670, 3660, 4305, 5948, 6324, 7586, 113, 1934, 2316, 3183, 4809, 5293, 6933, 8013, 313, 1609, 2316, 3869, 4299, 5633, 6324, 7884, 212, 1990, 2570, 3394, 4976, 5945, 6456, 7748, 673, 1463, 2335, 3741, 4273, 5411, 6707, 8044, 880, 1293, 2547, 3394, 4467, 5450, 6396, 7678, 966, 1609, 2869, 3654, 4961, 5423, 7110, 7996, 810, 2107, 2869, 3841, 4520, 5863, 6653, 7676, 293, 1489, 2725, 4052, 5014, 5999, 6552, 7542, 662, 1919, 3055, 3975, 4612, 5322, 6651, 7538, 662, 1472, 2532, 3307, 4305, 6107, 6880, 7515, 662, 1397, 3091, 3341, 4938, 5603, 6443, 8062, 692, 1732, 2911, 3727, 4717, 5886, 6783, 8117, 569, 1550, 2974, 4096, 4321, 5538, 6799, 8081, 807, 1919, 2580, 3521, 5151, 5956, 7072, 7263, 487, 1660, 2316, 3165, 4604, 5787, 6241, 7936, 807, 1140, 2631, 3613, 4439, 6080, 7082, 7929, 930, 1842, 2534, 3623, 4546, 5924, 7148, 7834, 1003, 1778, 2670, 3417, 4833, 5280, 7118, 8124, 113, 1821, 2429, 3356, 4386, 5600, 7183, 7943, 864, 1171, 3091, 3162, 4364, 6164, 6422, 8047, 641, 1972, 2429, 3304, 4179, 5694, 7098, 7472, 778, 1771, 2429, 3300, 4993, 5761, 6463, 7454, 104, 1141, 2272, 3917, 4588, 5904, 7244, 7962, 1025, 1337, 2436, 3452, 4553, 5320, 6976, 7472, 424, 1141, 3101, 3602, 4993, 6204, 6871, 7838, 884, 2079, 2561, 3603, 4762, 5570, 6832, 7574, 806, 1971, 2751, 3639, 4189, 6076, 6612, 8241, 880, 1126, 2436, 3498, 4755, 5749, 6449, 7555, 807, 1930, 2464, 3792, 4795, 5954, 6816, 7965, 582, 1685, 3091, 3525, 4321, 5539, 7232, 7873, 1003, 1550, 2480, 4007, 5151, 5980, 6901, 7980, 487, 1717, 3091, 3709, 4720, 5223, 6670, 7795, 545, 1858, 2369, 3623, 4392, 5898, 7215, 7869, 722, 1121, 2534, 3329, 5110, 6044, 6883, 7996, 807, 1919, 2614, 3623, 5178, 5443, 6225, 7435, 487, 1455, 2313, 3623, 4351, 5403, 6734, 7869, 234, 1644, 3116, 3363, 5151, 5600, 6413, 7916, 620, 1164, 2751, 3418, 4212, 6119, 7095, 8212, 620, 1561, 2316, 3575, 4437, 5539, 6504, 8081, 888, 1164, 3030, 4030, 4985, 5384, 6255, 7291, 265, 1489, 2751, 3324, 4474, 5615, 6444, 7311, 952, 1942, 2963, 3615, 5151, 5304, 6870, 7863, 981, 1842, 2316, 3832, 4364, 5884, 7102, 7952, 1024, 1732, 2484, 4137, 4572, 5610, 6980, 8137, 913, 1932, 2915, 3342, 4993, 6178, 6231, 8081, 585, 1118, 3061, 3424, 5005, 5643, 6889, 7926, 938, 1806, 2593, 3935, 4224, 6107, 6507, 8117, 103, 1663, 2629, 3741, 5134, 5345, 7174, 7799, 1011, 1968, 2771, 3246, 5016, 6119, 7012, 7918, 693, 1397, 2564, 3468, 4945, 6171, 6542, 7986, 693, 1732, 2564, 3824, 5053, 6144, 6373, 8035, 693, 1919, 2918, 3522, 5020, 6111, 6651, 7584, 265, 1821, 2984, 3424, 4615, 5767, 7122, 8061, 265, 2107, 2593, 3955, 4945, 5299, 6582, 8076, 265, 1489, 2548, 3340, 5000, 6002, 6324, 7604, 1062, 1323, 2581, 3740, 5026, 5512, 6618, 7800, 738, 1586, 3039, 4150, 5007, 5672, 6734, 7881, 1063, 1296, 2548, 3679, 4843, 5396, 6392, 8065, 961, 1526, 3066, 4003, 4764, 5666, 6723, 7823, 1038, 1728, 2987, 3187, 4751, 5314, 6614, 8210, 1062, 1703, 2987, 4146, 4570, 5359, 7048, 7918, 645, 1184, 3003, 4017, 4781, 5988, 6859, 7716, 645, 1773, 2959, 3259, 4239, 5752, 7168, 7753, 512, 1675, 3033, 3533, 5018, 5567, 6979, 7948, 308, 1998, 2959, 4174, 5104, 5832, 7201, 7717, 1099, 2111, 3110, 4018, 4630, 5832, 6953, 7421, 488, 1945, 3135, 4018, 4704, 6139, 6972, 7949, 488, 2017, 2781, 4071, 4551, 5901, 6709, 8260, 488, 2017, 2914, 4071, 4704, 6081, 7006, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7201, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 4, 2 ]
[ 1, 14, 66, 5, 64, 45, 51, 64, 5, 44, 54, 5, 31, 16, 5, 53, 20, 63, 54, 44, 55, 5, 5, 3, 797, 2017, 3117, 3367, 4704, 6211, 7124, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3825, 4624, 6139, 6794, 7766, 488, 1528, 3065, 4018, 4798, 6186, 6794, 8196, 899, 1827, 2838, 4018, 4512, 5212, 6709, 7732, 660, 1349, 2549, 3305, 5180, 5570, 7055, 7470, 161, 1494, 2282, 3765, 5122, 5414, 6950, 7286, 660, 2003, 2787, 4137, 4631, 5497, 6536, 8084, 857, 1747, 2941, 4137, 4435, 6117, 6565, 8109, 956, 1623, 2669, 3226, 5006, 5963, 6630, 8016, 935, 1467, 2746, 3277, 5104, 5661, 7006, 8267, 789, 2017, 2834, 3516, 5153, 5493, 6604, 7485, 195, 1108, 2398, 3746, 5143, 5586, 6517, 7538, 824, 1108, 3004, 4026, 5053, 6125, 6749, 8102, 127, 2060, 2554, 3595, 4413, 5723, 6412, 7782, 127, 1488, 2469, 3277, 4398, 6216, 7232, 7367, 518, 2127, 2683, 3277, 5128, 5333, 7129, 7887, 518, 1750, 2554, 3827, 5193, 5844, 6338, 7537, 518, 1750, 2775, 3277, 5079, 5534, 6576, 7303, 518, 1750, 2965, 3227, 5164, 5689, 7217, 7918, 1059, 1797, 2157, 4161, 4305, 6112, 6605, 7555, 318, 1280, 2332, 3448, 4522, 5963, 6468, 7614, 492, 1708, 2327, 3842, 4818, 5224, 6671, 7998, 113, 1942, 2355, 3968, 4635, 6062, 6578, 7991, 684, 1566, 2488, 4145, 5150, 5767, 7018, 7451, 186, 1147, 2703, 3873, 5183, 5765, 7132, 7476, 818, 1508, 3007, 4174, 4551, 6129, 7084, 7723, 956, 2000, 2991, 3982, 4980, 6081, 7084, 7876, 935, 1600, 2960, 3982, 5166, 6182, 6988, 7806, 272, 1320, 3141, 3955, 4870, 5413, 6717, 7394, 541, 1198, 2941, 3855, 4762, 5650, 7168, 8093, 195, 2098, 2242, 3515, 4533, 5296, 7069, 7538, 195, 1570, 2454, 4124, 5128, 5875, 6921, 8036, 225, 2060, 2775, 3550, 5160, 5514, 6584, 7317, 518, 2118, 2833, 3851, 5048, 5219, 7152, 8061, 256, 2111, 2542, 3277, 4344, 5298, 7163, 8080, 240, 1826, 2839, 3932, 4214, 5942, 7006, 7716, 390, 1791, 2212, 3726, 5139, 6175, 6283, 8266, 392, 2095, 2397, 3370, 5145, 5660, 6759, 7423, 685, 1972, 2455, 4162, 4670, 5942, 6521, 7423, 223, 2068, 2636, 4082, 4859, 5534, 6872, 7959, 1033, 1278, 2911, 4096, 4212, 6123, 6982, 8075, 731, 1992, 2440, 3361, 4337, 5297, 6723, 8056, 223, 2068, 2868, 4082, 4991, 5903, 6579, 7676, 1033, 1278, 2868, 3513, 5152, 6193, 7086, 7799, 731, 1427, 2638, 3932, 4374, 5694, 7157, 8256, 807, 1682, 2404, 4036, 4298, 5321, 6745, 7424, 266, 1547, 2152, 4072, 4403, 5787, 6429, 7795, 840, 2081, 2274, 3910, 5085, 5220, 7232, 7810, 386, 1849, 2352, 3905, 4992, 5678, 6615, 7895, 955, 1411, 2732, 4027, 5020, 5359, 7069, 7657, 731, 1998, 2366, 3848, 4556, 5850, 6764, 7677, 223, 2024, 2659, 3932, 4374, 5641, 7193, 7296, 752, 1994, 2595, 4043, 4374, 6128, 6677, 7557, 942, 1721, 2387, 3600, 4781, 6000, 6585, 7602, 271, 1981, 2769, 3463, 5085, 5564, 7067, 7703, 150, 1383, 2425, 3573, 4727, 6208, 6567, 7861, 110, 1720, 2203, 3727, 4875, 5570, 6388, 7822, 1066, 1867, 2731, 3388, 4310, 5938, 6874, 7570, 1025, 1867, 2280, 3727, 5118, 5776, 6373, 7702, 610, 1609, 2142, 3906, 4264, 5486, 6542, 7955, 150, 1727, 2348, 3464, 4295, 5388, 6716, 7815, 271, 1838, 2549, 3196, 5110, 5305, 6256, 7666, 641, 1669, 2265, 3170, 4929, 5485, 6295, 7790, 1084, 1512, 2273, 3593, 4650, 5654, 6550, 8025, 776, 1141, 2498, 4152, 5026, 5221, 6703, 7919, 1057, 1972, 2462, 3916, 4918, 5876, 6872, 7835, 970, 1141, 3106, 3767, 4444, 5717, 7237, 7604, 424, 1363, 3092, 3593, 5115, 5590, 6352, 7887, 663, 1847, 2924, 3756, 5139, 5630, 7114, 7822, 862, 1269, 2429, 3162, 4723, 5862, 6565, 7930, 870, 1283, 2196, 3409, 4956, 5523, 6295, 7614, 221, 2051, 2196, 3973, 4972, 5577, 6348, 7946, 221, 1808, 2855, 4007, 4671, 5443, 6596, 7799, 487, 1682, 2383, 3770, 4339, 5341, 6628, 7442, 487, 1863, 2346, 3458, 4604, 5782, 6393, 7673, 1025, 1867, 2357, 3679, 4834, 5661, 7017, 8073, 643, 1850, 3080, 3878, 4717, 5740, 6871, 7846, 731, 1427, 2661, 3710, 4308, 5573, 6918, 8208, 1025, 1141, 2313, 4066, 5143, 6084, 6560, 7532, 211, 1998, 2313, 4152, 4630, 6181, 6240, 8245, 308, 2001, 3098, 3945, 4447, 5901, 7168, 7570, 308, 2000, 3064, 4174, 4589, 5832, 6852, 7570, 1097, 2000, 2947, 3886, 4822, 5241, 6972, 7806, 488, 1648, 3110, 3710, 4822, 6211, 6979, 8147, 818, 2000, 2164, 3893, 4888, 6139, 6794, 7485, 818, 2017, 2164, 3982, 4980, 5832, 7239, 8223, 818, 1622, 2806, 3893, 5080, 5241, 7124, 7641, 488, 1528, 2914, 3886, 4624, 6139, 7239, 8196, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1528, 3065, 3825, 4512, 6139, 6972, 8126, 915, 2017, 2164, 3825, 4512, 6186, 6794, 8196, 915, 2017, 2164, 3893, 4512, 6186, 6794, 7716, 915, 1974, 2554, 3367, 4704, 5767, 6589, 7716, 915, 1648, 2858, 3914, 4859, 6139, 7077, 7865, 915, 1622, 2858, 3825, 4798, 5413, 7006, 8261, 915, 2017, 2970, 3825, 4764, 5550, 6794, 7717, 915, 2017, 2858, 3893, 4859, 6139, 6996, 8126, 488, 1528, 3065, 3893, 4512, 6139, 6996, 8126, 488, 1528, 2970, 3893, 4624, 5811, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 4, 2 ]
[ 1, 16, 5, 63, 17, 65, 5, 31, 14, 66, 5, 67, 63, 73, 5, 31, 16, 5, 67, 63, 48, 5, 53, 33, 54, 5, 20, 41, 5, 31, 33, 63, 5, 41, 48, 66, 5, 5, 3, 945, 1528, 2806, 4068, 4704, 6129, 7077, 8147, 914, 1791, 2941, 4115, 5165, 6123, 6677, 8147, 1006, 1582, 2866, 3165, 4806, 5251, 6673, 7605, 492, 1582, 2910, 3468, 5198, 5721, 7020, 7642, 769, 1582, 2445, 3497, 4479, 5334, 6754, 7355, 660, 1582, 2689, 3351, 4457, 5490, 6882, 7620, 1067, 1207, 2741, 3284, 4595, 5745, 6858, 7644, 1067, 1669, 2492, 3341, 4212, 5654, 6492, 8023, 826, 1796, 3074, 3378, 5036, 6218, 7019, 7739, 778, 1424, 2556, 3998, 4650, 5574, 6623, 7560, 831, 1850, 3076, 4133, 4621, 6064, 6630, 7673, 663, 1809, 2397, 3231, 4287, 6146, 7065, 7754, 831, 1175, 3151, 4151, 5155, 5589, 6936, 8145, 610, 1577, 2469, 3540, 4533, 5565, 6998, 7756, 831, 1369, 2626, 4076, 4554, 5223, 6260, 8036, 610, 1152, 2469, 3487, 4592, 5413, 6823, 7405, 536, 1797, 2484, 4066, 4705, 5353, 7221, 7863, 936, 1559, 2396, 4123, 4595, 5559, 6723, 8207, 360, 1682, 2878, 3948, 4332, 5752, 6365, 7395, 875, 1815, 2191, 3875, 4831, 5783, 7194, 8253, 249, 1838, 2790, 3373, 5190, 5508, 7212, 7277, 113, 1904, 3080, 4009, 4688, 5414, 7070, 7795, 776, 1526, 3066, 3245, 4924, 6052, 6876, 7748, 1062, 2065, 2553, 3245, 4868, 5504, 7171, 7329, 1062, 1424, 2810, 3975, 4877, 6025, 7198, 7948, 833, 1523, 2987, 3857, 4849, 5439, 7017, 7586, 859, 1939, 2918, 3233, 5104, 5983, 7237, 8241, 757, 1570, 3149, 3895, 5167, 5942, 7218, 8164, 568, 2106, 2775, 3470, 5104, 6163, 6313, 7311, 183, 2106, 2946, 3827, 4398, 6149, 6852, 7473, 757, 1286, 2542, 3681, 4877, 5477, 7024, 7919, 757, 2127, 2287, 4153, 5159, 5767, 7024, 7876, 617, 1750, 2970, 3550, 4522, 6110, 6752, 7557, 859, 2111, 2833, 3994, 4287, 5677, 7181, 7806, 186, 1876, 2833, 3994, 4870, 5550, 6604, 7876, 201, 1528, 3117, 3803, 4888, 5963, 7124, 8236, 488, 2017, 3117, 3367, 4624, 6139, 7077, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7124, 7766, 915, 1528, 2164, 3893, 4870, 6186, 7120, 7949, 1065, 1797, 2473, 4026, 4890, 6113, 6965, 7936, 249, 1507, 2868, 3777, 4755, 6143, 6373, 7689, 681, 1628, 2455, 4172, 4510, 5250, 6998, 7924, 526, 1496, 2171, 3187, 4495, 5379, 6663, 7967, 113, 1887, 2869, 4072, 4776, 6169, 6965, 7972, 650, 1139, 3137, 3366, 4635, 5672, 6663, 8102, 1099, 1777, 2293, 4153, 4287, 5963, 6918, 7397, 935, 1851, 3110, 3516, 4844, 5385, 6771, 7641, 789, 2030, 2730, 3516, 5007, 6175, 7160, 8185, 935, 1851, 3144, 3908, 4398, 5219, 7201, 8126, 789, 2097, 2746, 4113, 4398, 5901, 6671, 8195, 419, 2030, 2941, 3595, 4630, 5493, 6338, 8126, 789, 2017, 2473, 3914, 4704, 5677, 6677, 7485, 789, 2030, 3133, 4006, 5104, 6149, 6889, 7485, 256, 1750, 2473, 4145, 4704, 5550, 6889, 7664, 518, 1623, 2709, 3576, 4890, 5730, 7051, 7367, 878, 1386, 3026, 3576, 5075, 5296, 6520, 7498, 552, 1851, 2775, 4124, 4374, 5963, 6889, 7749, 857, 1596, 2678, 3873, 4224, 6065, 6717, 7538, 752, 1234, 2799, 3749, 4542, 5378, 6551, 7714, 1029, 1918, 2648, 3679, 4334, 5717, 6901, 7965, 993, 1831, 2232, 3963, 5169, 5509, 6566, 7397, 993, 1141, 2975, 3165, 4184, 5212, 6308, 7742, 993, 1831, 3092, 3169, 4361, 5766, 6840, 7415, 608, 1865, 2892, 3187, 4701, 5527, 6918, 7488, 936, 1867, 2610, 3731, 4390, 5674, 6813, 8254, 936, 1318, 2794, 4101, 4545, 6163, 7106, 7627, 104, 1317, 2200, 3915, 4546, 5410, 6623, 8143, 104, 1317, 2923, 4084, 5196, 6180, 7057, 8103, 1090, 1655, 2232, 3487, 4298, 5709, 6772, 7774, 833, 1871, 2941, 3582, 4954, 5576, 6813, 7409, 756, 1700, 2895, 3440, 4705, 5678, 6709, 7677, 715, 2083, 2560, 3983, 4762, 5515, 6281, 7768, 844, 1655, 2939, 4125, 4876, 5910, 6884, 7869, 1067, 1655, 2492, 3192, 4687, 5737, 6626, 8140, 608, 1531, 2346, 3999, 4461, 6222, 6654, 7828, 344, 1554, 2748, 3582, 5124, 5954, 7043, 8071, 344, 1531, 2748, 3383, 4934, 5266, 6348, 8189, 750, 1770, 2346, 4004, 5164, 5390, 6344, 7614, 789, 2084, 2947, 4125, 4870, 5436, 6704, 8080, 256, 1597, 2669, 4085, 4764, 6103, 6972, 7881, 256, 2030, 2941, 4150, 4282, 5661, 7051, 7485, 256, 1635, 2729, 3866, 5165, 6160, 7077, 8061, 878, 1736, 2661, 3931, 4782, 5766, 6403, 8132, 256, 1684, 2473, 3582, 4762, 5580, 7017, 7557, 256, 2073, 3064, 4113, 4681, 5624, 7207, 8132, 541, 1596, 2473, 3239, 4918, 5689, 6296, 7426, 878, 1141, 2469, 3795, 4237, 6175, 7033, 8009, 579, 2043, 2242, 3352, 4512, 5951, 6333, 8230, 1015, 1141, 2970, 3420, 4334, 6175, 7090, 7349, 132, 1141, 3108, 3748, 4764, 5385, 6251, 7831, 223, 1141, 2874, 4093, 4191, 5436, 7152, 8185, 150, 1189, 2678, 4044, 4993, 5918, 6804, 7969, 443, 1324, 2896, 3792, 4774, 5212, 6364, 7921, 443, 1561, 2436, 3936, 5000, 6061, 6872, 8121, 465, 1510, 2927, 3936, 4641, 6001, 6890, 8134, 807, 1754, 2378, 3261, 5067, 5347, 6327, 7705, 807, 1808, 2797, 3970, 4983, 6118, 7181, 7651, 807, 1816, 2631, 3351, 4770, 5615, 6592, 8117, 993, 1550, 2874, 3768, 4321, 5538, 7108, 7396, 826, 1832, 2188, 3286, 4212, 5899, 6348, 7778, 831, 1227, 2728, 3358, 4276, 5204, 7132, 7678, 1025, 1671, 2389, 3436, 4440, 6063, 6752, 7577, 831, 1700, 2918, 3910, 4592, 5903, 7168, 7919, 1025, 2107, 2661, 3513, 5095, 6051, 6242, 7992, 778, 1797, 2946, 3540, 5015, 5515, 7168, 7664, 104, 1858, 2582, 3395, 4690, 5573, 7201, 7255, 826, 2045, 2946, 4026, 5095, 6014, 7100, 8107, 313, 1397, 2476, 3551, 4335, 5432, 6442, 7794, 786, 1826, 2731, 3232, 4539, 5776, 6456, 8046, 535, 1695, 2888, 4067, 4321, 5884, 6847, 7680, 1040, 1110, 2751, 3865, 4195, 5716, 6547, 8031, 480, 1778, 2732, 4007, 4678, 5254, 6764, 7508, 639, 1704, 2482, 3313, 4732, 5600, 6899, 7834, 1040, 1789, 3029, 3282, 4946, 5843, 6869, 7355, 641, 1992, 2282, 3962, 5031, 5869, 7012, 8117, 408, 1227, 2690, 4096, 5088, 6026, 7220, 7490, 641, 1821, 2282, 3424, 4791, 6208, 6488, 7582, 862, 1770, 3116, 3415, 4952, 5977, 7008, 7889, 1080, 1838, 2603, 3741, 5145, 5449, 6331, 7462, 113, 1251, 2580, 3409, 4833, 5670, 6977, 8031, 517, 1543, 2588, 4103, 4933, 5634, 6476, 7519, 1067, 1720, 2571, 3205, 4330, 5600, 6571, 7373, 123, 2036, 2294, 4100, 5193, 5512, 6359, 7828, 371, 1704, 3149, 3727, 5041, 5414, 6580, 7727, 339, 1838, 2997, 3936, 4910, 5432, 6326, 7904, 271, 2028, 3148, 4128, 4408, 5847, 6438, 8168, 750, 2088, 2321, 3390, 4700, 5553, 7085, 7336, 878, 1665, 2136, 3188, 4804, 5527, 7221, 7598, 518, 1684, 2971, 3204, 4344, 6163, 6889, 8134, 518, 2106, 2880, 3680, 4775, 5550, 6757, 8093, 256, 1851, 2880, 4115, 4205, 5811, 7024, 7949, 789, 1345, 2473, 4115, 5083, 5241, 7129, 8262, 789, 2073, 2473, 3803, 4681, 5372, 7069, 7260, 789, 1937, 2984, 3231, 4398, 5556, 7181, 7965, 789, 1475, 2834, 4157, 4459, 6182, 6774, 7402, 256, 1622, 2473, 4026, 4918, 5579, 6709, 8185, 403, 1705, 2582, 3909, 5120, 5661, 6719, 7723, 1067, 1320, 2980, 3356, 4392, 5783, 6325, 7682, 399, 1507, 2282, 3329, 4982, 5874, 6480, 8028, 723, 2118, 2751, 3282, 4664, 5656, 7219, 7627, 1040, 1832, 2751, 3356, 4254, 5835, 7119, 7494, 897, 1323, 2137, 3222, 4459, 6122, 6651, 7378, 492, 1453, 3034, 3943, 5164, 5492, 7229, 8241, 113, 2118, 3066, 4072, 4800, 5307, 6674, 7652, 1066, 1472, 2869, 4056, 4434, 5782, 6740, 7862, 961, 1581, 3137, 3338, 4351, 6043, 6483, 8140, 518, 2079, 2554, 3480, 4676, 6221, 7129, 8096, 518, 2030, 3064, 3201, 4529, 5436, 6589, 7677, 518, 1452, 2775, 3188, 4918, 5556, 6884, 7811, 256, 2064, 2729, 4145, 4870, 5765, 7232, 7643, 256, 1175, 2729, 3394, 4888, 5960, 6677, 7806, 256, 2030, 3105, 3771, 5138, 5677, 7006, 7816, 256, 1851, 2473, 3914, 5135, 6103, 7010, 8049, 440, 1525, 3109, 4085, 5053, 5795, 7232, 7563, 518, 1851, 2473, 3803, 4870, 5514, 6810, 8179, 901, 1286, 3026, 4011, 4326, 5500, 7004, 8053, 153, 1388, 2783, 3891, 4192, 5963, 6576, 8076, 1071, 1834, 2560, 3776, 4191, 5457, 6333, 8178, 986, 2053, 2751, 3159, 4797, 5773, 7219, 7513, 487, 1399, 2610, 3291, 4760, 5575, 6704, 7740, 545, 1858, 3116, 3159, 4952, 5470, 6422, 7453, 356, 1591, 2751, 3756, 4755, 6000, 6998, 7365, 678, 1706, 3020, 3193, 4800, 5918, 6296, 8048, 980, 1458, 2946, 3993, 5179, 5462, 6348, 7846, 1037, 1782, 3043, 3589, 4488, 6065, 6589, 7365, 859, 2046, 2760, 3909, 4877, 5981, 6966, 7508, 797, 1623, 2781, 4174, 5058, 6139, 7152, 7570, 186, 1998, 3007, 4145, 5058, 6129, 6996, 8237, 397, 1695, 3141, 3681, 5167, 5923, 6443, 8221, 617, 1847, 2302, 3723, 5159, 5436, 6338, 7811, 859, 1147, 2970, 3407, 4870, 5963, 7129, 7563, 945, 1528, 3021, 3893, 4583, 5892, 6584, 7485, 860, 1528, 2806, 3825, 4704, 6139, 7152, 7766, 860, 1528, 2914, 3825, 4624, 6139, 7077, 7766, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 488, 1648, 2914, 3893, 4870, 5635, 6677, 8223, 488, 1648, 2914, 3893, 4387, 5767, 6988, 8147, 915, 1876, 2970, 3827, 4890, 6139, 6589, 7485, 915, 2106, 2806, 4068, 4888, 5901, 6794, 8083, 915, 1622, 3021, 3914, 4870, 5892, 6677, 8223, 915, 1622, 2833, 3825, 4798, 6139, 7120, 8196, 488, 1528, 3065, 3914, 4870, 5550, 7226, 8147, 915, 1622, 3021, 3914, 4870, 5550, 7207, 8237, 915, 1622, 3021, 3914, 4387, 6081, 7077, 7723, 915, 1622, 2833, 3914, 4622, 5550, 7207, 8223, 488, 1648, 2806, 3893, 4704, 5635, 6752, 8126, 488, 1528, 3021, 3893, 4624, 6081, 7124, 8223, 488, 1648, 2833, 4071, 4624, 6139, 6794, 8196, 4, 2 ]
[ 1, 52, 69, 51, 5, 14, 66, 5, 77, 20, 63, 5, 51, 52, 57, 31, 78, 5, 5, 5, 16, 54, 30, 5, 77, 20, 63, 5, 41, 20, 63, 43, 32, 30, 5, 5, 3, 555, 1496, 2918, 3595, 4512, 5241, 6604, 8147, 555, 2111, 2858, 4174, 4822, 5678, 6612, 7865, 915, 2111, 3021, 3893, 4512, 5241, 6996, 8237, 915, 1468, 2970, 3891, 4681, 5241, 6740, 7557, 142, 1528, 2806, 3825, 4624, 5241, 7077, 8147, 142, 1528, 2806, 3825, 4798, 6139, 7226, 8147, 818, 2017, 3065, 3893, 4624, 5832, 6979, 7485, 1090, 1681, 2503, 4068, 4423, 5901, 6809, 7876, 993, 1496, 2868, 3474, 4896, 6006, 6494, 7554, 778, 1596, 3103, 3853, 4534, 5780, 6313, 7948, 988, 1703, 2316, 3245, 4690, 5492, 6319, 7647, 900, 1604, 2474, 3770, 5022, 6166, 7019, 7983, 480, 1199, 2868, 3655, 5128, 5854, 6343, 8078, 1056, 1173, 2814, 3516, 5145, 5296, 7014, 7687, 1056, 1331, 2391, 4027, 4670, 5573, 7023, 7547, 914, 2073, 2293, 3645, 5166, 5987, 6954, 7631, 143, 1509, 3035, 3261, 4991, 6123, 7109, 7855, 536, 1881, 2708, 3753, 4351, 6006, 6492, 8230, 280, 1768, 2422, 3306, 4743, 5310, 7081, 7991, 421, 2015, 2724, 3600, 4860, 6069, 6810, 7515, 480, 1971, 2596, 3396, 4948, 5642, 6622, 8034, 779, 1889, 2921, 3425, 5096, 5503, 6732, 7575, 571, 1995, 2727, 4000, 4542, 5503, 7018, 7260, 225, 1865, 3043, 3555, 4186, 6206, 7197, 8266, 568, 2008, 2370, 3178, 4412, 5590, 6627, 7545, 225, 1831, 2468, 3178, 4586, 5694, 7160, 7445, 397, 1400, 3052, 3540, 5150, 5837, 6844, 7485, 204, 1736, 2872, 3256, 4863, 5577, 6455, 7311, 1098, 1382, 2552, 3762, 5160, 5370, 7003, 7297, 154, 2059, 2654, 3731, 4658, 6041, 6555, 7786, 748, 1862, 2540, 3551, 4852, 5747, 6684, 8200, 277, 1516, 2599, 3586, 5021, 5272, 6370, 7819, 450, 1830, 2599, 3851, 4965, 5621, 6257, 7778, 951, 2088, 3046, 3618, 4595, 5703, 7219, 7269, 510, 2106, 3080, 3564, 4276, 6205, 6809, 7715, 984, 1705, 2944, 3982, 4583, 5565, 6554, 8261, 571, 1874, 2880, 4145, 5058, 5534, 6996, 8237, 510, 2017, 2746, 4174, 4379, 5241, 6852, 8185, 935, 2064, 2996, 3982, 4583, 5850, 7239, 8196, 508, 2060, 2139, 4046, 4931, 5876, 6778, 7707, 865, 1547, 2341, 3882, 4219, 5603, 6895, 8244, 508, 1773, 2355, 3175, 5032, 5242, 6452, 7749, 513, 1388, 2496, 3715, 4470, 5678, 7017, 7620, 731, 1974, 3150, 3525, 4373, 6046, 6967, 7248, 781, 1199, 3070, 3325, 4369, 6121, 6701, 7408, 893, 1178, 2509, 3934, 4761, 6080, 6797, 7286, 862, 1740, 2304, 3576, 4338, 6116, 6371, 7886, 381, 1180, 2540, 3790, 5081, 5496, 7139, 7676, 212, 1231, 2574, 3259, 5005, 5894, 6866, 8225, 449, 1338, 2365, 4021, 5005, 6191, 7212, 7663, 975, 1740, 2813, 3700, 4248, 5665, 6837, 8046, 668, 2124, 2667, 3986, 4499, 5940, 6350, 7833, 975, 1205, 2265, 4021, 4842, 5574, 7092, 8022, 975, 1205, 2705, 3850, 4508, 5961, 7097, 8253, 668, 1180, 2311, 3751, 4508, 5567, 6866, 7852, 668, 1205, 2407, 3446, 4256, 5567, 7140, 7756, 547, 1205, 2570, 3446, 4757, 5283, 6807, 8218, 692, 1205, 2449, 3806, 4365, 6080, 7140, 8164, 1009, 1205, 2308, 3259, 4539, 6064, 7141, 7828, 864, 1205, 2304, 3477, 4346, 5283, 6936, 7933, 1080, 1251, 2512, 3245, 4234, 5298, 6687, 7841, 547, 1205, 3073, 3492, 4267, 6011, 6466, 7429, 938, 1348, 2836, 3974, 5110, 5298, 6700, 7820, 1024, 1222, 2137, 3318, 4335, 5248, 6403, 8145, 1008, 1305, 2137, 3858, 4831, 5863, 6628, 7965, 1016, 1933, 2137, 3581, 4350, 5538, 7060, 8047, 722, 1447, 2585, 3868, 4351, 5616, 6706, 7436, 722, 1213, 2253, 3394, 4371, 6212, 7189, 7638, 639, 1962, 2869, 3356, 4667, 6098, 6933, 7763, 1003, 1740, 2900, 3863, 4920, 5558, 6935, 7571, 1084, 1740, 2488, 3285, 4824, 5298, 6255, 7878, 722, 1389, 2706, 3310, 4834, 5401, 6840, 8084, 839, 1496, 2658, 3870, 4611, 5816, 6422, 8064, 880, 1596, 3119, 4015, 4282, 5308, 6829, 7769, 262, 1498, 2585, 3770, 5012, 5614, 6819, 8144, 1065, 1755, 2629, 3564, 4541, 5588, 6868, 7510, 225, 1982, 2677, 4074, 4352, 6194, 6889, 8096, 195, 1255, 2728, 4147, 4276, 5385, 7023, 7918, 654, 2085, 2926, 3555, 5006, 5503, 6566, 8239, 654, 2111, 3139, 3914, 4829, 5694, 6840, 7492, 317, 1919, 2487, 3726, 4983, 5865, 7152, 7496, 1033, 1847, 2188, 3403, 4484, 5461, 6908, 7899, 584, 1510, 2829, 3767, 4835, 5716, 6249, 7752, 161, 1234, 2725, 3770, 5146, 5742, 6905, 7657, 261, 2072, 2692, 3270, 4823, 6213, 6594, 8097, 668, 1782, 2692, 4152, 5142, 6035, 6770, 7598, 632, 1755, 2581, 3943, 5142, 5532, 7133, 7473, 216, 2024, 3020, 3962, 4225, 5212, 7059, 7962, 1033, 2102, 2860, 3763, 4691, 5749, 6734, 7677, 223, 1562, 2656, 3497, 5129, 5386, 6991, 7899, 986, 1407, 2905, 4166, 4512, 5887, 6884, 8061, 807, 1388, 2842, 3276, 4575, 5513, 6485, 8069, 1101, 1561, 2250, 3276, 4620, 6222, 6632, 7886, 487, 1252, 2267, 4126, 5151, 5706, 7141, 7376, 314, 1252, 2863, 3992, 5091, 6128, 7084, 7973, 975, 1252, 2691, 3756, 4508, 5500, 7099, 8022, 632, 1199, 2137, 3418, 4356, 5321, 7140, 7699, 531, 1503, 2407, 3279, 4742, 5205, 6674, 7933, 333, 1727, 2727, 3777, 4730, 5288, 6962, 7968, 373, 1913, 2425, 3378, 4324, 5313, 6254, 8204, 405, 1370, 2972, 3550, 5061, 5604, 7019, 8144, 256, 1845, 3032, 3771, 5061, 6160, 7099, 7856, 256, 1370, 2181, 3595, 4782, 5850, 6540, 8126, 256, 1937, 2356, 3555, 4870, 5513, 6966, 8222, 878, 1851, 3109, 3176, 4512, 5827, 6671, 7698, 878, 2032, 2925, 3352, 4781, 5630, 7237, 7660, 518, 2097, 2803, 3555, 4912, 6014, 7077, 7477, 256, 2073, 3006, 4113, 4861, 5723, 6734, 7887, 878, 1858, 2167, 3352, 5079, 5296, 7056, 7256, 256, 1933, 2560, 3555, 5159, 5624, 6953, 7427, 948, 1523, 2721, 4127, 4604, 5827, 6726, 7815, 917, 1776, 3090, 3584, 4667, 5970, 6721, 8200, 123, 1982, 2749, 3623, 4564, 5640, 7108, 7542, 802, 1383, 3112, 4091, 4179, 5244, 6426, 7954, 803, 1215, 2415, 3449, 5031, 5570, 6346, 7478, 1045, 1316, 2307, 4066, 4570, 5933, 6782, 7693, 123, 2029, 2437, 3286, 4531, 5347, 6270, 7604, 179, 1682, 2415, 3411, 4848, 5408, 6942, 8081, 802, 1401, 2698, 3356, 4946, 5409, 6391, 8069, 428, 2033, 2428, 3924, 4477, 5256, 6592, 8268, 1030, 1937, 2446, 3208, 4459, 6104, 6240, 7447, 814, 1512, 2376, 3894, 4321, 6135, 7060, 7889, 355, 1350, 2453, 3857, 4358, 5404, 6389, 7857, 91, 1306, 2656, 3839, 4592, 5383, 6678, 7617, 942, 1453, 2432, 3811, 4669, 5418, 6419, 7565, 1049, 1832, 2913, 3687, 4459, 5533, 6572, 7930, 1062, 1510, 2247, 3931, 5154, 5918, 6995, 8048, 802, 1112, 2833, 3298, 5145, 6026, 6403, 7693, 545, 2051, 2210, 3539, 5075, 5222, 6492, 7906, 994, 1794, 2383, 3421, 5070, 5339, 7030, 7995, 761, 1842, 2411, 4161, 5031, 5269, 6746, 7813, 1023, 1842, 2655, 4128, 5031, 6118, 6839, 7959, 234, 1968, 2595, 3623, 4358, 6013, 7043, 7612, 234, 1234, 2563, 3623, 4832, 6067, 6667, 7932, 234, 1664, 2233, 3394, 4733, 5668, 6493, 7435, 702, 1631, 2593, 3623, 5023, 5464, 6905, 8074, 668, 1623, 3060, 3933, 5031, 6220, 6653, 8018, 876, 1889, 2593, 3535, 4759, 5350, 6375, 7505, 992, 1315, 2697, 3292, 4716, 6163, 6501, 8039, 512, 1755, 2792, 4145, 5166, 5360, 7098, 7488, 571, 1467, 2729, 4145, 4966, 5767, 6961, 7768, 779, 1545, 2944, 3803, 4870, 5834, 6650, 8226, 571, 1623, 2833, 3710, 5125, 5844, 7132, 7948, 1088, 1910, 2638, 3193, 4918, 6044, 6740, 8266, 964, 1471, 2244, 4137, 5052, 5668, 6838, 7539, 656, 1645, 2648, 3334, 4205, 5908, 6883, 7709, 996, 1446, 2951, 4127, 4305, 6172, 6339, 7389, 987, 2100, 2869, 3648, 4675, 5352, 6847, 8046, 1047, 1719, 2900, 4056, 4415, 5874, 6793, 8130, 304, 1756, 2766, 4138, 4303, 5677, 7230, 7437, 337, 1945, 3049, 3595, 4681, 5754, 6515, 8195, 984, 1175, 2833, 3226, 5159, 5360, 7168, 7852, 510, 1874, 2586, 3908, 4387, 6051, 6467, 7806, 186, 1874, 2989, 3945, 4828, 5901, 6972, 8260, 186, 1508, 2989, 4174, 4782, 6025, 7004, 8083, 935, 1600, 2806, 3201, 5038, 5635, 6996, 8066, 488, 1528, 2806, 3893, 4624, 6139, 6786, 7949, 935, 2017, 2164, 3825, 4287, 6139, 7006, 7806, 935, 1648, 2989, 3440, 5159, 6139, 6996, 8223, 186, 1528, 2746, 3645, 4287, 5635, 7111, 8260, 915, 1528, 2833, 3595, 4387, 6103, 7218, 7806, 915, 1622, 2914, 3825, 4287, 6139, 6612, 7766, 915, 1622, 2164, 3595, 4870, 6139, 7077, 7876, 555, 1684, 3064, 4153, 4704, 6163, 6688, 7723, 4, 2 ]
[ 1, 28, 17, 66, 5, 63, 44, 30, 48, 53, 30, 5, 31, 16, 5, 41, 63, 13, 42, 53, 33, 54, 66, 5, 17, 75, 5, 57, 54, 52, 47, 5, 76, 17, 54, 5, 44, 53, 62, 20, 63, 66, 16, 54, 66, 5, 62, 39, 62, 35, 5, 5, 3, 142, 1622, 2914, 3891, 4704, 6211, 7226, 8147, 488, 2111, 3065, 3893, 4624, 6186, 7120, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 356, 1681, 3065, 3188, 4470, 5210, 7237, 7542, 335, 1753, 2661, 3662, 4818, 5810, 6727, 7275, 761, 1653, 3080, 3314, 4823, 5944, 6887, 7635, 893, 1141, 2912, 3413, 4541, 5366, 7152, 7503, 512, 1139, 2291, 3795, 5085, 5899, 7086, 7557, 955, 1777, 2293, 3866, 4822, 6131, 6709, 7607, 967, 1175, 2947, 3982, 4551, 6146, 6604, 7260, 572, 2079, 2340, 3550, 4470, 5810, 6998, 7716, 448, 1797, 2703, 3916, 5103, 5749, 6850, 7429, 802, 1141, 2807, 3949, 4647, 5608, 6840, 8034, 938, 1333, 2384, 3687, 4900, 5732, 6980, 7873, 938, 1742, 2564, 3905, 4427, 5250, 7213, 8225, 862, 1755, 2629, 4021, 4297, 5449, 6889, 7693, 938, 1652, 2542, 4038, 5151, 5580, 6442, 8225, 613, 1164, 2311, 3424, 4676, 6015, 6414, 7920, 757, 1674, 2649, 3941, 4807, 5413, 6334, 8240, 356, 1266, 2661, 4120, 4775, 5840, 6607, 7873, 613, 1948, 2950, 3886, 4918, 5474, 6551, 7913, 1097, 1675, 2865, 3819, 4822, 5289, 6579, 7816, 512, 1809, 3007, 3314, 4993, 5385, 7077, 8126, 308, 1869, 3006, 3914, 4822, 6195, 6302, 8209, 955, 1585, 2924, 4166, 4881, 5325, 7006, 7846, 276, 1523, 2659, 3994, 5192, 5993, 7229, 7420, 582, 1233, 2432, 3324, 4955, 5276, 6678, 8205, 986, 1220, 2142, 3372, 5107, 5899, 6302, 8211, 766, 1277, 2678, 4073, 5022, 5863, 7002, 7973, 487, 1206, 2515, 3623, 5122, 5251, 6820, 7442, 545, 1178, 3080, 3904, 5124, 5257, 6769, 7677, 582, 1178, 2710, 3245, 4392, 5215, 6563, 7997, 722, 1608, 3080, 3410, 4855, 5656, 6776, 8099, 986, 1269, 2910, 3880, 4601, 6010, 6806, 7510, 545, 2019, 2282, 3532, 4586, 6142, 6269, 8111, 545, 1498, 2794, 3205, 4421, 5656, 6768, 8017, 582, 1236, 2453, 4120, 4934, 5843, 6449, 7707, 731, 1177, 2432, 3762, 4770, 5656, 6225, 7620, 391, 1299, 2661, 3928, 4389, 5540, 6579, 7936, 767, 1874, 3080, 3648, 4781, 5938, 7237, 7948, 408, 2008, 2989, 4120, 4715, 5461, 7069, 8069, 204, 1633, 2940, 4017, 4576, 5660, 6870, 7677, 149, 1633, 2925, 3376, 4713, 5407, 6302, 7806, 391, 1356, 2389, 3416, 4902, 5589, 7069, 7463, 767, 1705, 3006, 4083, 4536, 6146, 6337, 8079, 684, 1992, 2429, 4085, 4867, 5550, 6540, 7557, 1064, 1320, 2254, 3991, 5088, 5567, 6255, 7712, 1003, 1828, 3040, 3232, 4529, 5893, 6755, 7288, 556, 1596, 3040, 3965, 4669, 5970, 6687, 7918, 803, 1346, 3011, 3457, 5006, 5886, 6781, 7726, 1047, 2061, 3038, 3960, 5094, 5354, 6538, 7867, 256, 2008, 2669, 3516, 4863, 5981, 6668, 7737, 518, 1750, 2989, 4145, 5153, 5378, 6607, 7297, 899, 2030, 3006, 3687, 4413, 6205, 6740, 7806, 440, 2091, 2970, 3206, 5111, 5730, 6517, 7965, 899, 1108, 2940, 3886, 5083, 5565, 7058, 7876, 878, 1992, 2992, 4153, 4398, 5650, 7221, 7794, 256, 1490, 2941, 3873, 4715, 5687, 6579, 7826, 256, 1175, 2593, 4085, 4863, 5515, 7220, 7485, 518, 2098, 2880, 4145, 5157, 5730, 6443, 8130, 568, 2088, 2925, 4113, 4493, 5385, 7222, 8061, 878, 1304, 2340, 3391, 5080, 6110, 7120, 7563, 617, 1490, 2946, 3803, 4877, 6182, 6688, 8185, 942, 2065, 2340, 3994, 4626, 6222, 7140, 7996, 858, 1737, 2581, 4075, 4890, 5637, 6662, 7311, 814, 1324, 2576, 3887, 5098, 5396, 6891, 7924, 802, 1348, 2872, 3895, 5113, 6123, 6605, 7437, 761, 1184, 2866, 3454, 4428, 5603, 6881, 7579, 326, 1368, 2224, 3512, 5146, 5375, 6698, 7603, 893, 2118, 2676, 3197, 4364, 6126, 7138, 7410, 868, 1977, 2725, 3936, 4218, 6151, 6748, 8192, 160, 1282, 3091, 3776, 4268, 6005, 7048, 7794, 390, 1758, 2730, 3352, 4867, 6156, 6668, 8078, 390, 1665, 3110, 3516, 5139, 5363, 7198, 7876, 288, 1238, 2956, 4097, 5106, 5767, 6901, 8179, 211, 2063, 2586, 3931, 5101, 6205, 6774, 8266, 610, 1306, 2610, 4074, 4822, 6131, 6972, 8252, 887, 1797, 3101, 3410, 4282, 5694, 7010, 7508, 887, 1577, 2794, 3671, 4667, 6181, 6755, 7386, 160, 1999, 2655, 4085, 4191, 5899, 7008, 8185, 948, 2000, 2710, 4026, 4592, 5944, 6301, 7490, 266, 1509, 2758, 4005, 4822, 5918, 6308, 7965, 981, 1171, 3130, 3669, 4828, 5440, 7230, 7693, 1025, 2111, 2775, 3811, 4592, 6073, 7095, 8231, 684, 1402, 2783, 3891, 4297, 5630, 6515, 8099, 1056, 1773, 2167, 3188, 4622, 6144, 7162, 7717, 1056, 1998, 2436, 3908, 4512, 5824, 7084, 7312, 308, 1467, 2803, 3472, 5183, 5493, 6996, 7811, 952, 1965, 2309, 3922, 4859, 5672, 6386, 7291, 981, 1421, 2163, 3217, 5188, 6097, 6325, 7822, 504, 1557, 2439, 4127, 4679, 5926, 6798, 7496, 643, 1490, 2963, 3540, 4428, 5479, 6614, 7791, 1081, 1913, 3038, 3960, 4856, 5475, 6657, 7776, 288, 1370, 2998, 4110, 4390, 5761, 7218, 8185, 756, 1370, 3056, 3488, 5083, 5706, 7095, 7898, 317, 1324, 2993, 3979, 4670, 6146, 6392, 7386, 1102, 1871, 3108, 4105, 4225, 6067, 7025, 7965, 1057, 1727, 2709, 3740, 4805, 5313, 6704, 8123, 1022, 1727, 2873, 3635, 4379, 6031, 7198, 7312, 110, 2001, 2486, 3325, 4991, 5966, 7045, 8151, 110, 1708, 2589, 3536, 5003, 6114, 6464, 8087, 603, 1469, 2128, 3894, 4981, 5889, 6800, 7718, 150, 1974, 2128, 3685, 4310, 6141, 6709, 8037, 1025, 1974, 2985, 3540, 5061, 6156, 6304, 7264, 940, 1708, 3135, 4093, 4781, 5796, 6936, 8213, 1090, 1856, 2591, 3536, 4845, 6030, 6408, 7972, 1090, 1827, 2591, 3201, 4895, 6085, 6935, 8126, 678, 1721, 3144, 3488, 4849, 5694, 7058, 8126, 504, 1510, 2183, 3975, 4584, 6191, 7001, 7957, 986, 1763, 2918, 3995, 5011, 5844, 6736, 7702, 504, 1550, 3053, 3909, 5052, 5981, 7135, 8117, 643, 1708, 2918, 4103, 5169, 5844, 6377, 7869, 678, 1721, 3098, 3732, 5122, 6154, 6898, 8267, 390, 1700, 2661, 3710, 4872, 6014, 7111, 8261, 887, 1676, 2352, 4171, 5104, 5942, 7111, 7706, 390, 1620, 3143, 3685, 4533, 5614, 7023, 7768, 959, 1809, 3038, 3401, 5157, 5305, 6809, 8107, 211, 1700, 2143, 3511, 4834, 5684, 6991, 7906, 804, 1705, 3007, 3488, 5060, 5968, 6776, 7919, 512, 1620, 2754, 4108, 5083, 6085, 6996, 7631, 308, 2046, 2493, 3945, 4856, 6129, 6630, 7806, 1090, 2035, 2895, 3220, 4630, 5824, 6830, 7658, 887, 2035, 2444, 4041, 4872, 5705, 6734, 7494, 150, 1271, 3003, 3681, 4328, 5869, 6272, 8261, 803, 1469, 2312, 4086, 4845, 5438, 7065, 8132, 1029, 1199, 2592, 3808, 5139, 6118, 6243, 7959, 893, 1682, 2165, 3233, 5074, 5323, 6858, 8254, 887, 1510, 2905, 3679, 4766, 5485, 6949, 7519, 887, 1797, 3101, 3870, 4181, 6120, 6710, 8193, 610, 1692, 2357, 4151, 5019, 6006, 7084, 7876, 1025, 1561, 2868, 4168, 5106, 6156, 6688, 7992, 725, 1951, 2422, 3793, 4678, 6130, 7172, 7962, 986, 1209, 2453, 3239, 4952, 5800, 6802, 7757, 487, 1562, 2316, 4035, 4338, 5767, 6816, 7873, 643, 1164, 2931, 3987, 4350, 5557, 6540, 7948, 150, 1280, 2918, 3543, 4346, 5745, 7075, 7496, 610, 1797, 2293, 3873, 4305, 5661, 7012, 7822, 304, 1948, 2677, 3487, 4993, 5586, 6809, 8261, 216, 2121, 2291, 3516, 4592, 5678, 6515, 8066, 211, 1620, 2924, 3962, 4583, 5684, 6752, 7264, 211, 2084, 2167, 3994, 5166, 5767, 7207, 7631, 956, 1623, 2949, 3990, 5159, 5241, 7201, 7641, 914, 2068, 3135, 3710, 4822, 5340, 7006, 7887, 804, 1750, 2803, 4108, 4980, 5883, 7149, 8267, 620, 1817, 2167, 3420, 4860, 6051, 6426, 8095, 171, 1804, 2880, 4171, 5080, 5661, 6338, 7664, 308, 1981, 3110, 3595, 5129, 5241, 6734, 7723, 211, 1981, 2326, 3866, 4867, 5968, 7157, 7768, 150, 2035, 2549, 3345, 4918, 5509, 6681, 7706, 876, 1469, 2357, 4050, 5121, 5447, 7129, 8088, 1016, 1335, 2189, 3452, 4706, 5821, 6881, 7680, 961, 1825, 3090, 3807, 4542, 6141, 6930, 7962, 373, 1912, 2679, 3931, 4781, 5661, 7129, 7856, 961, 1248, 2425, 3778, 5158, 5601, 6430, 8085, 614, 1106, 2977, 3963, 4419, 5571, 6735, 7832, 1035, 2001, 2349, 3950, 4759, 5990, 6525, 7453, 776, 1141, 3101, 3407, 4191, 5869, 6732, 7720, 956, 1581, 3110, 3188, 5183, 6014, 7239, 7782, 427, 2041, 2340, 3516, 4762, 6103, 7220, 8185, 956, 1791, 2946, 3983, 5159, 6175, 7239, 8083, 510, 1623, 3043, 3671, 4622, 6103, 6979, 7256, 512, 1773, 2781, 4145, 5058, 5968, 7239, 7806, 401, 1797, 2838, 3226, 5104, 5705, 6979, 8267, 216, 1668, 3144, 4097, 5038, 6085, 6988, 7664, 731, 1120, 2340, 3776, 5159, 5832, 7132, 7706, 304, 1847, 2924, 4145, 5061, 6211, 7239, 8236, 955, 1778, 2678, 3918, 5129, 5678, 6648, 7908, 401, 1562, 2492, 3740, 4179, 5678, 6884, 7764, 390, 1763, 2542, 4097, 5120, 5678, 6776, 7887, 956, 1945, 3110, 3188, 5165, 6211, 7239, 8237, 914, 1945, 3043, 3982, 4912, 6103, 6979, 8260, 186, 2000, 2960, 3825, 4630, 5210, 7201, 7887, 818, 1998, 2164, 3710, 4888, 5241, 7084, 8083, 1097, 2000, 3135, 4174, 4551, 5612, 6709, 8196, 1097, 2017, 2991, 4174, 5038, 5832, 6794, 8223, 956, 1869, 3117, 3982, 5104, 5241, 7124, 8237, 139, 1707, 2818, 3446, 5024, 5948, 6472, 8150, 955, 1467, 2656, 3866, 5060, 5385, 6917, 7906, 752, 1623, 2355, 3201, 4882, 5631, 6414, 7261, 955, 1782, 2355, 3989, 4279, 6070, 6272, 7248, 487, 1935, 2355, 3487, 5165, 6089, 6265, 7741, 487, 1777, 2492, 4037, 5138, 5262, 6535, 8076, 807, 2117, 2872, 3356, 4525, 5250, 7198, 7693, 1025, 1808, 2946, 4072, 4218, 5797, 6995, 7959, 1025, 1550, 2330, 3515, 4364, 5462, 7017, 7693, 1056, 2036, 2567, 3873, 4213, 5438, 7043, 7717, 1099, 1933, 3021, 4097, 4489, 6103, 7149, 7421, 1097, 1933, 3021, 3516, 5061, 5573, 7207, 7631, 1099, 2000, 2991, 3945, 4622, 6129, 6988, 7421, 488, 2041, 2838, 4174, 4551, 6129, 6972, 7949, 1097, 1620, 2947, 3945, 4622, 6129, 6786, 7766, 1099, 1218, 3135, 3886, 4583, 5761, 7132, 7557, 421, 1119, 2991, 3994, 4636, 6120, 6741, 8250, 1097, 2073, 2729, 4006, 5157, 5210, 6584, 8195, 776, 2001, 2868, 3581, 4762, 5543, 6267, 7402, 277, 1141, 2941, 3472, 4736, 5432, 6678, 7456, 692, 2114, 2905, 3469, 4470, 5734, 6651, 8094, 1038, 1512, 2378, 3778, 4626, 5347, 7115, 7516, 692, 1758, 2951, 4152, 4404, 6106, 6973, 7250, 265, 1742, 2355, 3181, 4945, 5643, 7148, 8156, 265, 1742, 2990, 3366, 4485, 5938, 6348, 8249, 371, 1510, 2235, 3764, 4391, 5228, 6850, 8015, 331, 1496, 2243, 3252, 4577, 5480, 6883, 7426, 981, 1653, 2866, 3399, 4902, 6088, 6348, 7634, 373, 1139, 2951, 3656, 4344, 6025, 7161, 7828, 833, 1653, 2710, 3740, 5050, 5202, 6726, 7869, 552, 1248, 2987, 3990, 4513, 6135, 6704, 8103, 935, 2111, 2781, 3866, 4191, 6205, 6891, 7948, 186, 2032, 2899, 3803, 5061, 6085, 6809, 8195, 935, 1750, 2391, 4108, 4624, 6085, 6774, 8076, 935, 2017, 2586, 3188, 4980, 5630, 6467, 7948, 935, 2017, 2746, 3891, 4798, 5241, 7124, 8223, 935, 2065, 2164, 3367, 5129, 5661, 6752, 8196, 818, 2017, 2781, 3893, 4624, 6186, 7124, 8260, 488, 1528, 2914, 3825, 4888, 5635, 7124, 8147, 488, 1528, 2164, 3645, 4624, 6139, 6794, 8196, 488, 1528, 2914, 3825, 4888, 6139, 7124, 8196, 488, 1528, 2914, 3893, 4888, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8196, 488, 1648, 2164, 3893, 4624, 6186, 7077, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 4, 2 ]
[ 1, 30, 63, 33, 64, 66, 5, 44, 54, 5, 28, 52, 14, 51, 5, 5, 3, 844, 1268, 3080, 3904, 4592, 5400, 6870, 7311, 568, 1139, 2750, 3955, 4209, 5951, 7086, 8262, 541, 1403, 2629, 3194, 4321, 5215, 7021, 7383, 160, 1141, 3005, 3865, 4437, 5250, 7086, 7571, 1071, 1883, 2542, 3165, 4882, 5918, 6541, 7288, 1033, 1686, 2905, 3363, 4242, 6141, 6339, 7574, 113, 1704, 2891, 3952, 5111, 5444, 6698, 8176, 803, 1561, 2848, 3358, 4364, 6053, 6670, 8040, 827, 1609, 2771, 3570, 4938, 5645, 7083, 7634, 759, 1771, 2487, 3747, 4636, 5777, 6798, 7437, 952, 1349, 2321, 3742, 4435, 6118, 6275, 8254, 752, 1562, 2839, 3295, 4546, 5305, 7160, 7959, 401, 1520, 2727, 3929, 4757, 5686, 6646, 7605, 390, 2065, 2771, 4150, 4870, 6032, 6257, 8266, 183, 1906, 3032, 3879, 4604, 5515, 6265, 8098, 225, 1851, 2542, 3570, 5167, 5366, 6895, 7664, 654, 1938, 2880, 4125, 4622, 6189, 6380, 8266, 654, 1286, 2316, 3934, 5157, 5650, 6584, 7677, 654, 1750, 2729, 3394, 4644, 6189, 6840, 7664, 240, 2127, 2316, 3359, 4421, 5678, 6515, 7707, 228, 1750, 3147, 4113, 4918, 5241, 7224, 8179, 789, 2127, 2316, 4078, 5168, 5438, 7006, 7260, 419, 1851, 2729, 4113, 4704, 6149, 7226, 8237, 915, 2017, 2806, 3825, 4555, 5241, 7226, 7716, 419, 1851, 2806, 3914, 4798, 5830, 7226, 7716, 518, 1750, 2309, 3277, 4700, 6149, 7006, 8083, 183, 1851, 2210, 3623, 5135, 5942, 6291, 7732, 512, 1684, 2957, 3987, 4859, 5548, 7140, 8083, 138, 1794, 3149, 3794, 5111, 5890, 7049, 7905, 862, 1331, 3097, 3455, 4595, 5515, 6840, 7873, 1023, 1935, 2527, 3915, 4701, 6125, 7229, 7904, 731, 1363, 2282, 3882, 4573, 6087, 6444, 7986, 223, 1763, 2750, 4082, 4609, 5902, 6393, 8245, 1033, 1402, 2142, 3488, 5084, 5300, 6507, 7542, 271, 1363, 2693, 3449, 5134, 5780, 6832, 7842, 318, 2081, 2727, 3605, 5075, 5914, 6849, 7495, 1033, 1543, 2313, 3316, 5084, 5550, 6477, 7673, 1025, 1797, 3007, 3605, 4867, 5901, 6414, 8237, 940, 2079, 2783, 3975, 4287, 6128, 6551, 7831, 390, 2079, 2258, 3645, 4912, 5705, 6898, 7806, 804, 1881, 3022, 3226, 4215, 5694, 6734, 8237, 986, 1333, 3141, 4124, 5053, 6111, 6458, 8098, 942, 1937, 2556, 3452, 5196, 6176, 6849, 7458, 887, 1490, 2974, 3960, 5192, 5754, 6478, 8107, 1016, 2036, 3092, 4067, 4516, 5726, 7219, 8226, 344, 2050, 2670, 3582, 4734, 5370, 6231, 8266, 492, 1603, 3034, 3755, 4739, 5715, 6838, 7254, 655, 2008, 2173, 3663, 4365, 5696, 7227, 8169, 810, 1609, 2213, 4009, 4419, 5205, 6984, 7924, 880, 1910, 2758, 3469, 4854, 5909, 6413, 7597, 620, 1489, 2751, 3922, 4290, 5662, 7115, 7883, 952, 2065, 2580, 3370, 5072, 5553, 6987, 7970, 242, 1397, 2163, 3399, 4818, 5840, 6454, 8152, 981, 1623, 2565, 3284, 4902, 6002, 6901, 7638, 603, 1704, 2487, 3436, 4707, 6035, 6978, 7825, 103, 1684, 2304, 3770, 4931, 5558, 6736, 8266, 103, 2052, 3098, 3741, 4852, 5514, 7014, 7476, 1097, 1752, 3021, 3676, 4374, 6129, 6979, 8083, 945, 2032, 2754, 4006, 4856, 5219, 7023, 7870, 186, 2017, 2781, 4071, 4888, 6195, 6709, 8267, 935, 1622, 3109, 3710, 5104, 5219, 7077, 8195, 935, 2017, 2164, 3710, 5080, 5630, 6588, 7723, 935, 1791, 3110, 4166, 4583, 6195, 7220, 8066, 397, 1198, 2976, 3284, 5193, 5621, 6272, 7918, 859, 2127, 3095, 3886, 4981, 6195, 6889, 7641, 859, 1147, 2503, 3566, 4181, 6195, 7207, 7260, 555, 1286, 3144, 3407, 4512, 6137, 7132, 8147, 488, 1147, 2746, 4071, 4704, 5635, 6584, 7631, 860, 1528, 2164, 3803, 4583, 6081, 7077, 8223, 860, 1528, 2806, 3825, 4624, 6139, 6589, 8147, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 488, 1622, 3065, 3893, 4798, 6139, 6752, 7766, 915, 1684, 2164, 3914, 5157, 5241, 7006, 8080, 555, 1750, 2833, 4071, 4798, 6137, 7207, 7723, 915, 1684, 2164, 3914, 4798, 6186, 7226, 7766, 555, 1684, 2858, 4166, 4622, 5635, 7120, 7766, 555, 1648, 3021, 3566, 4181, 5635, 7100, 8126, 555, 1468, 2833, 3825, 4624, 5767, 6677, 8080, 555, 1623, 2833, 3391, 4387, 5550, 7120, 8080, 555, 1648, 2970, 3391, 4870, 5635, 7120, 8080, 4, 2 ]
[ 1, 16, 54, 66, 45, 52, 5, 62, 36, 64, 47, 16, 64, 5, 43, 14, 30, 5, 42, 63, 57, 54, 5, 66, 73, 5, 28, 48, 5, 16, 5, 43, 14, 54, 64, 16, 53, 5, 77, 73, 67, 5, 5, 3, 201, 2073, 2806, 3990, 4704, 5901, 6688, 8236, 337, 1648, 2957, 4171, 4512, 5892, 6889, 8236, 304, 1474, 2791, 3578, 5144, 6086, 6967, 7895, 803, 1407, 2345, 4016, 4652, 5950, 6560, 8181, 800, 1346, 2521, 3332, 4759, 5205, 6663, 7673, 683, 1934, 2642, 3357, 4582, 5511, 6448, 7667, 887, 1435, 2877, 3880, 4368, 5903, 7043, 8034, 1071, 1721, 2429, 3396, 4660, 5746, 6687, 7778, 160, 1306, 3033, 3578, 4784, 6022, 7100, 8017, 160, 1771, 2730, 3826, 5145, 5548, 6972, 7799, 304, 1825, 3098, 3488, 5096, 5899, 6871, 8209, 804, 1994, 2984, 4018, 4912, 6131, 6515, 7421, 1097, 2041, 2781, 4150, 4447, 6211, 7120, 8076, 899, 1964, 3133, 3710, 4536, 5963, 7157, 8195, 195, 1791, 2847, 4111, 5125, 5532, 6827, 8227, 195, 1905, 2554, 3879, 5115, 5923, 6870, 7939, 568, 1756, 2740, 3183, 5097, 5536, 7006, 8126, 405, 1550, 2856, 3782, 4872, 5677, 7207, 7720, 223, 1773, 2315, 3165, 5060, 5844, 7111, 8205, 1023, 1286, 2292, 3941, 4918, 6111, 7222, 7873, 1101, 1349, 2649, 3770, 4751, 5224, 6960, 8129, 802, 1205, 2343, 3770, 5117, 5970, 6897, 8000, 803, 1562, 2692, 3245, 4931, 5973, 6574, 8093, 386, 1828, 3050, 3865, 4571, 5422, 7002, 7966, 504, 2027, 2173, 3417, 5114, 5536, 6923, 7438, 643, 1759, 3040, 3986, 5129, 5417, 6438, 7538, 770, 1407, 3040, 4106, 4830, 5827, 7118, 7937, 1029, 2061, 2495, 3169, 4741, 6066, 6850, 8189, 887, 2061, 2547, 3964, 4911, 5203, 6239, 7712, 504, 1183, 3001, 3855, 4459, 5378, 7059, 7712, 643, 2035, 2659, 3573, 4429, 5677, 6524, 7807, 684, 1995, 2356, 3961, 4872, 5514, 6991, 8061, 956, 1804, 2396, 3645, 5060, 6084, 6996, 8147, 1099, 2068, 3007, 3990, 4287, 6182, 7168, 7720, 1099, 1847, 2167, 4150, 4366, 6175, 6688, 8267, 510, 2000, 2803, 4114, 4980, 5832, 7006, 8083, 956, 1998, 3117, 3710, 5139, 5635, 7084, 8196, 617, 2000, 2730, 4026, 4374, 5892, 7201, 8066, 811, 1736, 2217, 3749, 5076, 5648, 6291, 8060, 579, 1941, 2271, 3916, 4830, 5565, 6894, 7366, 153, 1381, 2880, 3550, 5138, 5296, 6719, 7964, 948, 1981, 2777, 3314, 4446, 5723, 6574, 8061, 658, 2059, 2789, 3319, 4572, 5443, 6601, 7574, 458, 1598, 2440, 3770, 4419, 5331, 6819, 8235, 458, 1758, 2794, 3399, 4580, 5619, 6269, 7255, 876, 1382, 2378, 3861, 4358, 5239, 6431, 7561, 876, 1668, 2987, 3256, 5036, 6169, 6625, 7620, 1024, 1510, 2652, 3316, 4346, 6037, 6875, 7626, 987, 1234, 2562, 3550, 4954, 5598, 6254, 7718, 225, 1675, 2718, 3764, 4297, 5512, 6726, 7872, 225, 2046, 2992, 3982, 4834, 5801, 6966, 8054, 576, 1846, 2775, 4015, 4923, 5514, 6834, 7621, 518, 1749, 2356, 3175, 4297, 5580, 7132, 7473, 518, 2078, 2287, 3407, 4555, 6205, 7132, 7806, 195, 1326, 3064, 4006, 4459, 5456, 7006, 7865, 228, 1851, 2833, 3407, 4459, 5892, 6515, 8132, 228, 1851, 2370, 3945, 4870, 6119, 7120, 8130, 228, 2111, 2593, 3955, 4360, 5296, 7002, 7948, 779, 2127, 2454, 3726, 4611, 5624, 6437, 7509, 149, 1281, 2268, 4026, 4896, 5614, 7024, 7773, 487, 1905, 3073, 3963, 4946, 5443, 6383, 7959, 545, 1768, 2777, 3417, 4345, 5591, 6680, 7262, 487, 1234, 2655, 3417, 4982, 6069, 6944, 7799, 668, 1692, 2830, 3475, 4682, 5584, 6576, 7830, 761, 1287, 2728, 3329, 4238, 5339, 6884, 8051, 918, 2047, 2148, 3368, 5097, 6022, 6480, 7827, 662, 1606, 2732, 4015, 4985, 5990, 6497, 8243, 761, 1332, 2225, 3812, 4901, 6094, 6371, 7770, 893, 1332, 3001, 3276, 4934, 5821, 6802, 7336, 923, 1306, 2244, 3726, 4298, 5660, 6486, 7602, 715, 1581, 2587, 3595, 4982, 6094, 6338, 8049, 654, 1820, 2659, 3485, 4321, 5204, 6821, 8254, 654, 2106, 2803, 3555, 4304, 5760, 7207, 7677, 195, 1363, 2659, 3681, 4944, 5586, 6612, 7591, 195, 1750, 2316, 3376, 4912, 5678, 7150, 7641, 228, 2111, 2316, 4125, 5061, 6085, 6752, 7627, 256, 1869, 2659, 4145, 5135, 6222, 6579, 7955, 967, 1869, 3133, 3361, 4555, 5350, 6466, 7717, 223, 1961, 2934, 4026, 5052, 5624, 6671, 7585, 612, 1286, 2692, 3880, 5070, 5354, 7225, 7932, 800, 1971, 2271, 3814, 4319, 5334, 6354, 8200, 154, 1971, 2239, 3609, 4998, 5334, 6545, 7656, 545, 1479, 2380, 3398, 5045, 6002, 6823, 7286, 684, 1350, 2839, 3951, 4691, 6018, 6302, 8066, 304, 1286, 3008, 3795, 4179, 6129, 6584, 8185, 804, 1856, 2839, 3671, 4867, 5765, 6613, 7263, 356, 1139, 3112, 3711, 5095, 5706, 7037, 7563, 308, 2046, 2729, 3277, 4981, 5761, 6849, 7806, 510, 2068, 2754, 3282, 5073, 5586, 6786, 8267, 512, 1750, 3043, 3982, 4366, 6085, 6972, 8179, 914, 1933, 2947, 3361, 4822, 5705, 7168, 7717, 373, 2041, 2860, 3226, 4674, 6008, 6401, 8036, 776, 1937, 2266, 4124, 5041, 5730, 6229, 8240, 223, 1332, 2750, 3196, 4828, 5904, 7058, 8132, 993, 1265, 2664, 3392, 5135, 5425, 6466, 7303, 884, 1682, 2654, 3870, 4942, 5810, 6828, 7309, 104, 1682, 2589, 3970, 4810, 5804, 6689, 8203, 802, 1635, 2511, 4093, 4911, 6213, 7214, 8036, 761, 1742, 2648, 3183, 4796, 5646, 6684, 7261, 803, 1865, 2503, 3286, 4547, 6083, 6733, 7508, 736, 1582, 2912, 3193, 4332, 5640, 6865, 7607, 536, 1205, 2789, 3981, 4404, 5477, 6685, 7620, 887, 1499, 2612, 3948, 4546, 5363, 6360, 8016, 150, 2070, 2791, 3760, 4748, 6011, 6338, 8263, 150, 1818, 2129, 3563, 4678, 5833, 7143, 7727, 1057, 1670, 3078, 3752, 4709, 5535, 7234, 7736, 1025, 1825, 2536, 3488, 4546, 5369, 6518, 7991, 1025, 1370, 2320, 3869, 4861, 5942, 7028, 8105, 1025, 1833, 3049, 3811, 4533, 5209, 6243, 7846, 1025, 1865, 2783, 3201, 4780, 5685, 6802, 7837, 610, 1797, 2708, 4027, 5088, 5942, 7023, 7962, 390, 1455, 3053, 4151, 4980, 6007, 7111, 7706, 1071, 1932, 2925, 3932, 4622, 5761, 6668, 7421, 1025, 2125, 2975, 4166, 4792, 5378, 7207, 7876, 308, 2046, 2352, 3188, 5183, 5630, 7058, 8179, 804, 1700, 2960, 4108, 5038, 5630, 6972, 8237, 541, 1695, 2709, 3478, 4298, 5259, 7028, 7816, 225, 1796, 2992, 3543, 4318, 5433, 6982, 7355, 1033, 2000, 2818, 3391, 4542, 5584, 6535, 8267, 993, 1459, 2552, 4003, 4860, 6006, 6847, 7367, 826, 1531, 2288, 3327, 5018, 5461, 6476, 7277, 778, 1966, 2163, 3870, 4372, 6084, 6269, 7968, 1090, 2035, 3092, 3669, 4530, 5873, 6891, 8248, 304, 2063, 3064, 4027, 5165, 5630, 7162, 7421, 804, 2046, 3110, 3710, 5166, 5661, 7111, 7948, 308, 1791, 3095, 3982, 5166, 5832, 7111, 8209, 684, 1399, 3043, 4174, 4551, 6085, 6979, 7485, 804, 1847, 3135, 4068, 5104, 5661, 6996, 8237, 512, 2041, 3095, 3982, 5080, 5635, 7077, 7485, 211, 1932, 2957, 4108, 5139, 5705, 6972, 8179, 304, 2063, 2924, 3226, 5165, 5241, 7077, 7260, 390, 1581, 3095, 4068, 5104, 5219, 7124, 8066, 115, 1601, 2560, 3961, 4536, 5904, 6715, 7838, 807, 1827, 2987, 3955, 4460, 5269, 6251, 8011, 807, 1635, 2210, 4080, 4218, 5584, 7229, 8017, 807, 1458, 2661, 4137, 4538, 6181, 6768, 7401, 807, 2053, 2453, 3417, 4777, 5864, 7100, 7881, 807, 1721, 2946, 4096, 4298, 5802, 6632, 7384, 807, 1140, 2166, 3939, 5122, 6140, 6240, 7893, 807, 1858, 2166, 3770, 4450, 6119, 6763, 7547, 487, 1858, 2453, 3869, 4459, 5286, 6734, 7749, 986, 1700, 3101, 3770, 4948, 6180, 6705, 8254, 850, 1808, 2355, 3695, 5096, 5706, 6813, 7918, 881, 1881, 2309, 3943, 4415, 5751, 6991, 7542, 807, 1858, 2355, 3159, 4978, 6175, 6655, 7398, 986, 1924, 2346, 3695, 4716, 5666, 6443, 8048, 545, 1653, 2136, 3551, 5135, 5981, 6224, 8125, 987, 1692, 2346, 3309, 4969, 5740, 6550, 7777, 807, 1858, 2355, 3159, 4978, 5871, 6772, 7868, 986, 1858, 2453, 3770, 4945, 6154, 6919, 7793, 1059, 1942, 2346, 3771, 5026, 5468, 6625, 7490, 613, 1397, 2464, 3300, 4212, 6002, 6772, 7704, 487, 1808, 2346, 4010, 4868, 5648, 6911, 7790, 986, 1140, 2601, 3770, 5054, 5810, 6705, 8150, 886, 1942, 2346, 4098, 4321, 6122, 6535, 8086, 397, 1734, 2945, 4038, 4236, 5656, 6651, 7678, 487, 1719, 2593, 3616, 4606, 5662, 6663, 7879, 759, 1719, 2165, 3208, 4690, 5797, 6995, 7524, 390, 2034, 2247, 3206, 5188, 5276, 6779, 7311, 475, 1467, 3008, 3752, 4923, 5797, 6982, 7865, 510, 2097, 2945, 4145, 4512, 6182, 6709, 7906, 859, 1218, 2729, 3908, 4912, 5210, 7207, 7476, 935, 2017, 3021, 3710, 4822, 5241, 7201, 7631, 555, 1623, 3008, 3803, 4782, 5767, 6979, 7557, 555, 1684, 2946, 4114, 4387, 6139, 7239, 7876, 555, 1684, 2970, 3825, 5060, 5811, 7207, 8185, 555, 2111, 2858, 3550, 4890, 5963, 7069, 8076, 488, 2065, 3065, 3825, 4512, 6139, 6584, 7664, 142, 1528, 2914, 3825, 4624, 6186, 7124, 8237, 142, 1528, 2806, 3825, 4624, 6186, 7226, 8223, 186, 2065, 2806, 3893, 4798, 5612, 7006, 8080, 555, 2065, 3065, 3803, 4555, 5241, 7006, 8262, 789, 2065, 2316, 3993, 4398, 5534, 6752, 8083, 899, 1961, 2593, 3578, 4737, 6087, 6612, 8253, 893, 1346, 2633, 3826, 4437, 5473, 7156, 7837, 683, 1183, 2363, 3214, 4492, 6053, 7131, 7984, 867, 1183, 2307, 3567, 4755, 6136, 7204, 7966, 1070, 1697, 3040, 3244, 4814, 6086, 6494, 8098, 775, 1346, 2779, 3601, 4949, 6002, 7002, 7686, 331, 1873, 2182, 3944, 5023, 5787, 7186, 8222, 639, 1346, 2598, 3366, 4723, 5347, 6436, 7542, 987, 2115, 2559, 3394, 4437, 5350, 6909, 8030, 579, 1140, 2748, 3904, 4918, 5866, 6522, 7939, 707, 1346, 2923, 3749, 4449, 5941, 6671, 7646, 1015, 2020, 3147, 3648, 4221, 5436, 6302, 7732, 871, 2034, 2959, 3737, 4746, 6163, 6671, 7476, 844, 2034, 2953, 3348, 5188, 6215, 6724, 7795, 113, 2034, 2355, 3261, 4945, 5850, 6998, 8173, 1052, 1946, 2625, 3770, 4641, 5359, 6224, 7822, 573, 1349, 2654, 3214, 4712, 6217, 6896, 7748, 623, 1719, 2355, 3583, 4857, 6092, 7135, 7841, 897, 1168, 2380, 3256, 5197, 5739, 6522, 8037, 737, 1526, 2151, 3193, 4187, 6190, 6606, 8048, 683, 2126, 2696, 3747, 4826, 5966, 7135, 8148, 462, 2100, 2830, 3536, 4234, 5875, 7135, 8169, 465, 1676, 2951, 3214, 5068, 5864, 6919, 7975, 1071, 1700, 2654, 4150, 4555, 5974, 6612, 7913, 887, 1494, 2384, 3533, 4536, 5966, 7037, 8085, 887, 1676, 3026, 3575, 4630, 6085, 6708, 7737, 887, 1945, 2754, 3962, 4651, 6156, 7004, 8083, 887, 1676, 2980, 3183, 4334, 5687, 7010, 7664, 1090, 1675, 2371, 3671, 5166, 5641, 6752, 7806, 613, 1989, 2550, 3904, 4635, 5523, 6775, 7303, 955, 1645, 2795, 3456, 4872, 5825, 7028, 7376, 654, 1700, 3033, 3982, 4923, 5795, 6443, 7811, 654, 1112, 2975, 3298, 4877, 6028, 6856, 8261, 518, 2034, 2944, 3838, 4916, 6163, 7006, 8267, 654, 1865, 2151, 3822, 4551, 5677, 6607, 7865, 195, 1396, 3064, 4145, 4916, 5767, 6890, 7904, 518, 1396, 2946, 4068, 4387, 5210, 6612, 7723, 195, 1570, 2560, 3855, 4916, 5778, 6491, 8253, 518, 1313, 2659, 3886, 4902, 5892, 7232, 7816, 552, 2078, 2659, 3771, 4555, 5677, 6668, 8012, 1033, 1421, 2360, 3417, 5157, 5597, 6884, 7402, 660, 1643, 2951, 3399, 4489, 5751, 6487, 7453, 1101, 2055, 2178, 3225, 4921, 5437, 6773, 8035, 993, 1986, 2352, 3544, 4412, 6002, 7038, 7958, 160, 1671, 2254, 4005, 4447, 5788, 6909, 7657, 160, 1924, 3092, 4011, 4573, 5899, 7152, 8083, 160, 1881, 3092, 4171, 4630, 5730, 7006, 8195, 1071, 1700, 2352, 4099, 4665, 6181, 6615, 8195, 1071, 1721, 3092, 4005, 4334, 6070, 6630, 7776, 1071, 2079, 2838, 3901, 4573, 5216, 6830, 8099, 750, 1708, 3053, 3838, 4323, 5216, 6871, 8060, 1025, 1227, 2440, 4006, 4241, 5630, 6588, 8093, 1035, 1881, 3008, 3253, 4807, 6094, 7023, 7607, 831, 1275, 2661, 3213, 4536, 5749, 7222, 8213, 545, 1787, 3141, 4067, 4622, 5767, 7035, 7873, 103, 1553, 3112, 4103, 4611, 5898, 6224, 7336, 807, 1935, 2369, 3593, 4934, 5300, 6677, 7926, 487, 1550, 2429, 3261, 4509, 5584, 7059, 7707, 986, 2053, 2156, 3770, 4723, 5555, 6556, 8178, 850, 1249, 2717, 3234, 4321, 6107, 6876, 7675, 826, 1570, 2716, 4143, 5151, 6002, 7129, 7880, 887, 1434, 2688, 3472, 4437, 5538, 7170, 8061, 1035, 1596, 2370, 4082, 4646, 5523, 6883, 7827, 663, 1682, 2429, 3823, 4629, 6050, 6607, 7578, 1047, 1139, 2227, 3909, 4651, 5260, 7100, 7881, 211, 1830, 3092, 3986, 5106, 6146, 7162, 7311, 940, 1508, 3092, 3649, 4920, 5614, 7100, 7811, 863, 1141, 2878, 3886, 4459, 5378, 6480, 7899, 833, 1635, 2941, 4151, 5159, 5677, 7224, 7902, 405, 1141, 2559, 3826, 4549, 5586, 6840, 7971, 617, 1509, 2794, 3761, 4555, 6146, 7160, 8213, 228, 1141, 2792, 3826, 4630, 5677, 6810, 7660, 518, 2077, 3064, 3392, 5183, 5218, 6871, 7570, 256, 1452, 2992, 4145, 5135, 6149, 7017, 8080, 256, 2073, 2833, 3879, 4555, 5218, 6458, 7528, 240, 1623, 2792, 3879, 4985, 5719, 6979, 7876, 878, 2060, 2875, 4068, 4536, 5218, 6671, 7559, 878, 2060, 3064, 3231, 4870, 5296, 6515, 7476, 256, 1452, 2880, 3470, 5088, 5219, 6889, 7393, 256, 2106, 3133, 4092, 4398, 5784, 7024, 8266, 899, 2065, 3095, 3470, 5075, 5630, 6671, 8093, 484, 1304, 2775, 3470, 4737, 6160, 6358, 8147, 555, 2065, 3006, 3391, 4888, 5677, 7090, 7876, 186, 2073, 2833, 4150, 4624, 5661, 7207, 7806, 186, 2073, 2164, 3891, 5159, 5635, 6794, 7876, 201, 1528, 2164, 3825, 4704, 6139, 7077, 8237, 488, 2017, 2914, 3893, 4624, 5901, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 2017, 3065, 3893, 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, 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, 6794, 8223, 4, 2 ]
[ 1, 16, 54, 30, 5, 64, 33, 66, 5, 31, 33, 53, 5, 16, 41, 52, 57, 66, 5, 16, 62, 11, 54, 5, 31, 16, 5, 64, 48, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 6129, 7226, 8147, 201, 1528, 2164, 3825, 4624, 6139, 7077, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 419, 1623, 2833, 4153, 4512, 5534, 7207, 8083, 617, 1933, 2172, 4113, 4240, 5678, 6612, 8085, 1059, 1724, 2725, 3826, 4338, 5737, 6391, 7477, 297, 1349, 2817, 3460, 4818, 5891, 6980, 8158, 189, 2034, 3049, 4061, 4876, 6002, 6872, 7611, 573, 1695, 2951, 3774, 4268, 5904, 7048, 7648, 893, 2067, 2951, 4094, 4843, 5286, 6482, 8171, 1035, 1238, 2951, 3941, 4619, 6204, 6732, 7686, 104, 1399, 2690, 4096, 4636, 6007, 6832, 7311, 1071, 1455, 3056, 4096, 4379, 5792, 7019, 7965, 1035, 2079, 2453, 4041, 4536, 5694, 7090, 8128, 211, 1992, 3110, 4037, 4895, 5978, 7129, 7664, 543, 1370, 3008, 4145, 4366, 5832, 6604, 8262, 654, 1623, 2669, 4006, 5168, 5378, 6668, 7744, 654, 2046, 2729, 3518, 4622, 5586, 7160, 8266, 654, 2106, 2542, 3555, 4387, 5433, 6757, 8254, 518, 2034, 2880, 3723, 5083, 5901, 7090, 8080, 195, 1645, 2839, 4006, 4852, 5436, 6752, 7941, 195, 1300, 2880, 3595, 5060, 5978, 6315, 7473, 195, 1332, 2287, 4161, 4536, 6175, 7071, 8099, 183, 1386, 3064, 3376, 4918, 5556, 6291, 8081, 767, 2020, 2725, 3920, 4836, 5379, 6338, 8093, 858, 1570, 2951, 3418, 4302, 5925, 7094, 8265, 399, 1349, 2951, 3497, 4208, 5339, 6281, 7954, 137, 1349, 2951, 3232, 4722, 5696, 6497, 7545, 569, 1719, 3011, 4134, 4901, 5734, 6424, 8050, 115, 1719, 2945, 4007, 4268, 6080, 6737, 7607, 893, 1453, 2555, 4037, 4946, 5751, 7009, 8050, 613, 1139, 2785, 3206, 4828, 5734, 6491, 7442, 543, 1974, 2854, 3770, 4895, 5923, 7095, 7254, 317, 2077, 2278, 3777, 4918, 5584, 7037, 7366, 543, 1461, 3110, 3562, 4638, 5503, 6892, 8236, 914, 2064, 2803, 3891, 4423, 5296, 6677, 7752, 186, 1528, 3117, 4145, 5165, 6195, 7218, 8126, 256, 1910, 2718, 3904, 4925, 5963, 7090, 7806, 105, 1961, 2838, 4089, 4423, 5610, 6840, 7715, 228, 1468, 3144, 4152, 4276, 5672, 6840, 7524, 453, 2078, 2340, 3866, 4549, 5548, 6840, 7557, 401, 1173, 2775, 3681, 4492, 5515, 6954, 7822, 1071, 1563, 2293, 4153, 4343, 5533, 6632, 8195, 806, 1854, 3137, 4001, 4589, 5736, 7202, 8222, 1071, 1850, 3092, 3314, 4343, 5323, 7023, 7753, 1025, 1850, 2490, 3671, 4184, 6073, 6850, 8073, 1033, 1915, 2207, 4027, 4184, 5801, 7135, 7488, 1035, 2001, 3092, 3540, 5079, 5515, 7218, 7593, 1035, 2001, 2943, 3425, 4272, 5904, 6750, 7976, 681, 1469, 2553, 3954, 4614, 5576, 7044, 7479, 803, 1503, 2224, 3358, 4730, 5598, 6887, 8222, 1035, 1737, 2687, 3468, 4206, 5871, 6928, 7808, 211, 2028, 2608, 3912, 4380, 5995, 7217, 8261, 256, 2106, 2641, 3595, 5083, 6058, 7086, 7781, 901, 1924, 2468, 3206, 5092, 5730, 6840, 8126, 256, 1564, 2468, 3770, 4918, 6063, 7090, 7602, 833, 1452, 2818, 3413, 5096, 5677, 7084, 7623, 419, 2000, 2468, 3413, 5083, 5296, 6668, 7876, 789, 1648, 2468, 4037, 5080, 6149, 6671, 7563, 256, 1851, 2944, 3555, 4437, 5550, 7218, 8117, 518, 1623, 2468, 4092, 5193, 5890, 7085, 8266, 568, 1865, 2998, 3555, 4549, 5650, 6849, 7777, 568, 1937, 2163, 3555, 4762, 5251, 6889, 7838, 757, 1858, 2740, 3681, 5120, 6103, 6810, 7476, 475, 1248, 2560, 4171, 4980, 5678, 6338, 8130, 959, 1797, 2212, 4108, 4278, 6182, 6688, 8245, 166, 1935, 3150, 3710, 4931, 5883, 6677, 8267, 802, 1682, 2732, 3420, 4501, 6162, 6850, 7875, 802, 1543, 3092, 3314, 4760, 5863, 6248, 8268, 761, 1177, 2933, 3404, 5031, 5486, 6476, 7996, 664, 1771, 2261, 3623, 4842, 5810, 6270, 7318, 864, 1740, 2790, 3208, 4298, 6119, 6735, 8206, 641, 2091, 2867, 3421, 4785, 6074, 7043, 7910, 1024, 2125, 2661, 3974, 4644, 5474, 6352, 7926, 678, 1238, 2210, 3764, 4785, 5810, 7047, 7291, 1037, 1683, 2903, 4135, 4996, 6086, 6551, 8188, 663, 1956, 3092, 3993, 4617, 6160, 6287, 7838, 304, 1939, 3018, 4067, 4651, 5475, 7157, 7572, 940, 1141, 2291, 3955, 4276, 6000, 6466, 7593, 171, 1998, 2809, 3662, 5139, 5767, 6605, 7806, 1097, 1945, 3128, 3886, 5080, 5241, 7201, 7806, 272, 1570, 2709, 3680, 5164, 6110, 6860, 7572, 952, 1797, 3091, 3320, 4954, 6128, 6938, 7476, 390, 1171, 2669, 3756, 4289, 6128, 7043, 7816, 750, 1244, 2669, 3537, 4437, 5684, 6382, 8061, 802, 1669, 2847, 3408, 4544, 5745, 6431, 8138, 1037, 1318, 2845, 4152, 4387, 6051, 7207, 7578, 1097, 1218, 2582, 3982, 4589, 5832, 7077, 7421, 1099, 1963, 2838, 3440, 5038, 6205, 7010, 7485, 1097, 1175, 3110, 4108, 5159, 6103, 7239, 7876, 186, 1622, 3117, 3866, 4366, 6139, 7132, 7806, 217, 1672, 2709, 3472, 4918, 5761, 6607, 7614, 863, 1844, 2655, 4128, 4670, 6160, 6848, 7438, 433, 1925, 2328, 4135, 4314, 5295, 7140, 8103, 752, 1318, 2363, 4138, 4856, 5694, 6597, 7528, 612, 1318, 2721, 3548, 4358, 5255, 7143, 8251, 814, 1520, 2951, 3883, 4396, 5651, 6462, 7911, 569, 1232, 2172, 3460, 4591, 5719, 6581, 7478, 974, 1152, 2381, 3486, 4271, 5812, 6287, 8046, 803, 2095, 2275, 3263, 4567, 5510, 6494, 8002, 880, 1972, 2985, 3371, 4531, 6174, 6224, 7360, 905, 1770, 2449, 3639, 4678, 5991, 6631, 7825, 504, 1168, 2885, 4015, 4765, 5621, 6325, 7690, 335, 1865, 2315, 3961, 4451, 5600, 6344, 7878, 831, 1796, 3092, 3771, 4429, 5678, 6254, 7648, 1035, 1141, 2402, 3793, 4700, 6131, 7052, 7480, 850, 1463, 2298, 3363, 4258, 6163, 6688, 8126, 424, 1944, 2279, 3932, 4374, 5366, 6892, 7919, 1035, 1141, 2925, 4085, 4895, 5705, 6413, 7284, 927, 1972, 2293, 3395, 4629, 5641, 6804, 7401, 569, 1137, 2565, 3159, 4590, 6007, 6632, 7840, 1049, 1171, 2944, 3464, 4911, 5220, 7242, 7841, 952, 1339, 3130, 3251, 4364, 5838, 6734, 7771, 654, 2013, 2468, 3376, 4945, 6205, 7162, 7401, 225, 1452, 2801, 3586, 4215, 5840, 7006, 8060, 654, 2002, 2904, 3394, 4622, 6085, 6895, 8130, 654, 2106, 2904, 3298, 4762, 5901, 7152, 8061, 195, 1756, 2880, 3993, 5143, 5219, 6704, 7717, 518, 2127, 2356, 3426, 4980, 5734, 7160, 8049, 654, 2106, 2156, 3596, 5150, 5333, 6474, 7906, 518, 1756, 3064, 3550, 4859, 5514, 7132, 7959, 228, 2106, 2473, 3931, 5168, 6103, 6909, 7557, 518, 1750, 2880, 3891, 4996, 5385, 6576, 8130, 228, 2106, 2554, 3955, 5193, 5935, 6840, 8126, 543, 2111, 2718, 4145, 5079, 6182, 7103, 7927, 650, 1311, 2359, 3417, 4435, 5586, 6270, 7948, 825, 1831, 2327, 4092, 4709, 5464, 6909, 7383, 988, 1561, 3074, 3351, 4351, 6092, 6224, 8079, 839, 1561, 2751, 3417, 4831, 6107, 7127, 7808, 806, 1550, 2327, 3480, 4881, 5444, 6478, 7450, 807, 2067, 2801, 4072, 4755, 5449, 6716, 7559, 986, 1178, 2242, 3356, 4981, 5810, 6470, 7946, 1059, 1577, 2751, 3394, 4795, 5514, 6357, 7695, 103, 1948, 3129, 3332, 4437, 5350, 7219, 7808, 756, 1692, 2167, 3356, 4795, 5352, 6348, 8111, 940, 1550, 2692, 3166, 4945, 6062, 6976, 7262, 756, 1834, 2692, 3941, 4691, 5216, 6348, 7971, 663, 1550, 2991, 3770, 4337, 6117, 6614, 8048, 356, 1140, 2492, 3500, 5088, 6212, 6860, 7355, 356, 1906, 2661, 3313, 4966, 5573, 6809, 8012, 789, 1981, 2309, 3917, 4287, 6149, 6810, 7941, 940, 1205, 2701, 3832, 5111, 5474, 6613, 7563, 779, 1707, 2946, 3732, 4877, 5548, 6612, 8209, 779, 1905, 2791, 3870, 4681, 5968, 6579, 7535, 288, 1905, 3053, 3314, 4576, 5706, 6680, 8193, 859, 1705, 2669, 3352, 4829, 5981, 6849, 7865, 419, 1623, 2669, 3886, 5183, 5527, 7058, 8236, 859, 1587, 2943, 4145, 5157, 5548, 6988, 8260, 915, 1623, 2729, 3367, 4877, 5892, 7120, 8147, 818, 1623, 3110, 4071, 4798, 6129, 6996, 7485, 201, 1528, 2914, 3825, 4624, 6139, 7239, 8260, 201, 1528, 2164, 3825, 4624, 6139, 7077, 7949, 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, 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, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]
[ 1, 41, 20, 63, 5, 45, 66, 5, 76, 11, 78, 5, 44, 53, 62, 11, 64, 16, 28, 16, 52, 5, 66, 73, 5, 76, 20, 63, 30, 5, 20, 41, 5, 31, 16, 5, 28, 52, 57, 78, 5, 17, 75, 5, 43, 20, 63, 54, 78, 5, 16, 54, 30, 5, 43, 69, 41, 64, 5, 17, 75, 5, 66, 73, 5, 64, 17, 29, 5, 62, 23, 35, 41, 16, 52, 5, 13, 54, 66, 14, 42, 16, 54, 16, 64, 66, 64, 5, 5, 3, 555, 1586, 2860, 4168, 4700, 5890, 7220, 8195, 555, 1490, 2918, 4068, 4512, 5219, 7006, 7485, 555, 2111, 2858, 3932, 5159, 5241, 6996, 7715, 488, 2017, 3117, 3367, 4624, 5219, 7124, 8237, 142, 1528, 2806, 3825, 4624, 5241, 7077, 8147, 488, 2017, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1622, 3065, 3893, 4624, 6139, 7077, 8147, 541, 1847, 2729, 3994, 4359, 5663, 6612, 7899, 160, 2088, 2493, 3226, 5124, 5378, 6696, 8033, 1103, 1551, 2409, 3868, 4925, 5551, 7140, 7758, 635, 2019, 3090, 4073, 5027, 5358, 7192, 8269, 875, 1905, 3090, 3442, 4271, 5725, 6592, 7955, 875, 1782, 2495, 3623, 4373, 6089, 6391, 7977, 443, 1324, 2951, 3623, 4683, 5297, 6836, 7508, 249, 1294, 2415, 3653, 4514, 5339, 6908, 7503, 993, 1404, 3066, 3165, 4381, 5344, 6528, 7904, 936, 1975, 2609, 3437, 4784, 5880, 7184, 7609, 1005, 1736, 3066, 3264, 4483, 5980, 7096, 7581, 552, 1238, 2678, 3662, 5073, 5987, 7228, 7560, 684, 1620, 2515, 3761, 4533, 5598, 6668, 8080, 132, 1796, 2960, 4124, 4287, 5834, 6515, 7421, 1079, 1477, 2803, 3932, 4782, 5543, 6786, 8080, 510, 2041, 2996, 3671, 4980, 5968, 6996, 7720, 211, 1998, 3075, 3990, 5060, 5210, 7201, 7876, 465, 2048, 2818, 4164, 4215, 5534, 6486, 7913, 150, 2048, 2923, 3700, 4415, 5220, 6700, 7260, 249, 1674, 3120, 3315, 4678, 5881, 6549, 7633, 535, 2070, 2875, 3281, 4774, 6209, 6287, 8246, 526, 2070, 2798, 3861, 4436, 5441, 6422, 7615, 247, 2117, 2564, 3234, 5124, 5293, 7083, 8160, 825, 1299, 2799, 4010, 4364, 5824, 6881, 7867, 576, 1210, 2566, 3899, 5092, 5224, 6732, 7962, 225, 1796, 3099, 3978, 4942, 5918, 6340, 7602, 576, 1915, 2317, 3391, 4389, 5547, 7152, 8114, 825, 1897, 2833, 4006, 4881, 5678, 6944, 8036, 761, 1302, 2487, 3616, 4621, 6218, 6898, 8161, 363, 1776, 2725, 3915, 4201, 5952, 7246, 7479, 632, 1284, 2717, 3720, 4741, 5787, 7135, 8189, 668, 1333, 2355, 4175, 4757, 5519, 6726, 7495, 692, 1173, 2134, 3951, 4365, 5654, 6884, 7410, 335, 1770, 2595, 4003, 4535, 5481, 7098, 8213, 767, 1562, 2633, 3789, 4530, 5899, 7006, 7677, 731, 1633, 2780, 3361, 4983, 5981, 6265, 7776, 216, 1543, 2669, 3909, 4374, 5228, 6302, 7764, 401, 1777, 2998, 4152, 4622, 5832, 7132, 7948, 390, 1280, 2860, 4114, 4822, 5832, 6752, 7641, 935, 1998, 3095, 4166, 5058, 6211, 6786, 7764, 1097, 1869, 2834, 3188, 4867, 5832, 6786, 7485, 935, 1175, 2880, 3440, 5166, 6014, 6786, 8107, 488, 1175, 3095, 4011, 5038, 6182, 7132, 7485, 818, 2017, 2960, 3893, 4888, 6081, 7201, 7949, 956, 1869, 3128, 4011, 4888, 6081, 6972, 7876, 1099, 1528, 2925, 4018, 4782, 5883, 7077, 8195, 120, 2079, 2932, 4168, 4945, 5890, 6663, 8113, 967, 2032, 2880, 3564, 5138, 6070, 6668, 8031, 473, 2008, 2293, 4036, 4664, 5698, 7237, 7333, 685, 1135, 2309, 3814, 4425, 6080, 7059, 7456, 805, 1565, 2425, 3256, 4929, 5461, 7005, 7599, 558, 1513, 2191, 3648, 4709, 5866, 6697, 7396, 768, 1894, 2814, 3249, 4664, 6030, 6680, 7987, 262, 1720, 2707, 4137, 4376, 5781, 6664, 7933, 942, 1317, 2353, 3847, 4841, 6180, 6968, 7273, 948, 1152, 2407, 3258, 4657, 5286, 6433, 7520, 955, 1376, 3150, 3819, 4897, 5395, 6541, 8213, 256, 1809, 2988, 3245, 4506, 5438, 6793, 7290, 195, 1585, 3133, 3592, 4651, 6063, 7173, 7252, 195, 1141, 2316, 3391, 5139, 5978, 7024, 8076, 225, 2088, 2830, 3866, 5134, 5764, 6744, 7397, 228, 1304, 2316, 4125, 5097, 5981, 6740, 7865, 256, 2065, 2554, 3886, 4877, 5719, 6338, 8147, 756, 1826, 2669, 4171, 4681, 5550, 7098, 7405, 731, 1509, 2792, 3565, 5138, 5953, 6569, 8098, 668, 1284, 2436, 3601, 4531, 5843, 6812, 7772, 314, 1252, 2330, 3259, 4775, 6218, 6706, 7990, 271, 1865, 2710, 3284, 4814, 5358, 7112, 7955, 887, 1897, 3066, 3994, 4508, 5632, 7007, 8157, 804, 1682, 2326, 3931, 4558, 5498, 6254, 7811, 405, 1370, 3008, 4085, 5104, 5378, 6979, 8041, 844, 1490, 3006, 3819, 4604, 5710, 6646, 7267, 1025, 1469, 2766, 3973, 5096, 5710, 6689, 8167, 386, 2035, 2970, 4016, 4688, 6005, 6980, 7576, 1029, 1302, 2137, 4105, 4690, 5360, 7208, 7290, 150, 1469, 2727, 3200, 5022, 5957, 6885, 7829, 1025, 1345, 3037, 3239, 4857, 6000, 6535, 8079, 1090, 1623, 2381, 3169, 4506, 5590, 6935, 8178, 804, 2063, 2803, 3662, 4782, 5694, 6688, 8236, 1097, 1747, 2381, 3201, 5061, 6103, 7084, 7782, 956, 2000, 2781, 3886, 4551, 6205, 7010, 8185, 874, 1695, 2709, 3879, 4872, 5684, 6486, 7886, 225, 1375, 2560, 3555, 4813, 5515, 6231, 8083, 153, 1403, 2550, 3967, 4666, 5684, 7129, 8051, 650, 1758, 2975, 3521, 5063, 5393, 7224, 8016, 993, 1773, 2207, 3842, 4868, 5904, 6883, 8114, 608, 2035, 2309, 3600, 5018, 6102, 6775, 7804, 1025, 1914, 2359, 4164, 4285, 5886, 7156, 8199, 1025, 1916, 2553, 3524, 4687, 6112, 7230, 7598, 1025, 1664, 2231, 4047, 5094, 5269, 6750, 7936, 1056, 1581, 3109, 4067, 5079, 5254, 6972, 7421, 1090, 1660, 3008, 3671, 4782, 5834, 6515, 7421, 424, 1675, 2866, 3188, 5159, 5811, 6996, 7887, 1090, 1146, 2771, 4017, 5145, 6182, 6346, 7706, 1024, 1581, 2294, 3540, 5085, 6063, 6830, 7618, 895, 1478, 2888, 3915, 5176, 5348, 6632, 8159, 386, 2033, 2653, 3842, 5110, 5445, 7149, 8031, 150, 1526, 2690, 3295, 4469, 5447, 6588, 7405, 888, 1948, 2981, 3448, 5041, 5313, 6364, 7728, 917, 1167, 2294, 4128, 4278, 5480, 6235, 8131, 123, 1633, 2888, 3979, 4760, 5551, 7026, 7435, 333, 1543, 2455, 3814, 4356, 5616, 7052, 7473, 333, 2066, 3003, 3371, 4254, 5785, 6974, 7808, 1067, 1156, 2243, 3880, 5097, 5382, 6762, 7989, 371, 2033, 2431, 3780, 5114, 5729, 7002, 7614, 371, 1402, 2977, 3721, 4938, 5568, 7227, 7955, 371, 1405, 2937, 3906, 4288, 6187, 6825, 7521, 150, 1512, 3102, 3156, 4215, 5966, 6679, 7798, 643, 1736, 2130, 3878, 4780, 6183, 7047, 7591, 1056, 1509, 2484, 3932, 4925, 5814, 6850, 8260, 1056, 1475, 2957, 3540, 4630, 5684, 6467, 8266, 1056, 1675, 2727, 4166, 4792, 5816, 7239, 7485, 840, 1490, 2886, 3233, 4496, 5530, 6768, 7862, 1067, 1199, 2710, 4057, 4998, 5555, 7086, 8247, 693, 1582, 2519, 3685, 5114, 6077, 6948, 8130, 265, 1582, 2836, 3302, 4527, 6118, 6528, 8020, 917, 1582, 2422, 3184, 4788, 5224, 6897, 7375, 917, 1457, 2842, 3200, 4214, 5653, 7080, 7773, 371, 1548, 2189, 3912, 5111, 6118, 7037, 8217, 333, 1818, 2361, 3432, 4510, 5866, 6525, 8099, 1016, 1318, 2819, 3536, 5191, 5573, 7119, 7717, 1056, 1388, 2860, 3581, 4447, 5763, 6872, 7834, 256, 1523, 2473, 3512, 4291, 5548, 7202, 7872, 878, 2060, 2554, 3771, 4437, 5305, 6820, 7496, 256, 1851, 3095, 3879, 5143, 5413, 7202, 7557, 256, 1845, 2941, 3879, 5138, 5705, 7132, 7677, 240, 1386, 3147, 4115, 4344, 5965, 7098, 7260, 256, 2068, 2473, 3914, 4580, 6056, 7143, 7941, 967, 1851, 2473, 3932, 4918, 6103, 6852, 7660, 684, 2045, 2949, 4071, 5104, 5612, 7077, 8237, 1067, 1646, 2137, 3360, 5020, 5366, 7238, 7644, 249, 1740, 2869, 3702, 4755, 6116, 7157, 7525, 386, 1503, 2726, 3563, 4882, 5866, 6247, 7586, 512, 1499, 3135, 3886, 5166, 5378, 6752, 7887, 288, 1370, 2860, 3767, 5157, 5767, 7217, 8185, 390, 1212, 3143, 4115, 4861, 5754, 6265, 7421, 390, 1924, 2803, 4085, 4867, 6014, 6996, 7776, 804, 1791, 3043, 4068, 5165, 5832, 6786, 8083, 390, 2036, 2880, 3717, 5165, 6128, 6688, 7631, 955, 2079, 3043, 4174, 5104, 5661, 7239, 8107, 326, 1320, 2553, 3513, 4430, 5481, 7114, 7748, 492, 1873, 2207, 3675, 4334, 5477, 6813, 8222, 993, 1199, 2232, 3498, 5175, 6112, 7237, 8081, 993, 1503, 3003, 3950, 4315, 5209, 6302, 8199, 993, 1129, 3003, 3632, 4557, 5954, 7133, 8054, 936, 2050, 2261, 3333, 5152, 5454, 7229, 7699, 123, 2050, 2503, 3279, 4621, 5475, 7141, 7254, 83, 1840, 2727, 3915, 4597, 5408, 6319, 7590, 876, 1318, 2389, 3600, 4351, 6002, 6490, 7797, 1008, 2053, 3151, 3915, 4612, 6002, 6319, 8132, 547, 1339, 2266, 3218, 4330, 5500, 6908, 7635, 1011, 1369, 2464, 3408, 4303, 5474, 6512, 8259, 913, 1455, 2667, 3218, 4836, 5616, 6490, 8264, 938, 1897, 2393, 4003, 4687, 6149, 6929, 7971, 1011, 1489, 2518, 3513, 5106, 5212, 6612, 7954, 776, 1369, 3112, 4098, 4537, 5570, 7019, 7250, 1024, 1581, 2805, 3381, 4697, 5717, 6611, 7367, 1024, 1873, 2778, 4166, 4221, 5811, 6275, 7756, 678, 1919, 2946, 3302, 4764, 5841, 6785, 7652, 1024, 1581, 2330, 3873, 4350, 5245, 6702, 7908, 641, 1992, 2230, 3962, 4885, 6010, 6595, 8061, 913, 1598, 2387, 3950, 5091, 5960, 6622, 7605, 504, 2063, 2258, 3167, 4306, 5438, 6670, 7515, 692, 1141, 2980, 3205, 5040, 5701, 6746, 8103, 692, 1881, 2387, 3741, 4529, 5341, 6629, 8126, 952, 1139, 3061, 3873, 4636, 5425, 7232, 7951, 317, 1886, 2188, 4088, 4555, 6191, 6614, 7926, 225, 1931, 2474, 3391, 5150, 5310, 6547, 7367, 228, 1171, 2751, 3916, 4737, 6123, 6306, 7563, 225, 2125, 2293, 3391, 4352, 6110, 6895, 7496, 228, 1597, 2554, 3873, 5073, 5504, 6589, 7831, 256, 1750, 3110, 3891, 5159, 6110, 7239, 7838, 956, 1623, 2560, 4011, 5079, 5963, 7201, 7664, 818, 2017, 3117, 3914, 5038, 5705, 7069, 7806, 818, 1528, 2914, 3893, 4624, 6081, 7201, 8260, 555, 2078, 2970, 4071, 4912, 5811, 7129, 7476, 555, 2111, 3065, 4071, 4782, 6149, 7098, 7723, 617, 1750, 3147, 3931, 4890, 6129, 6589, 8237, 617, 2127, 3144, 3891, 4704, 6149, 6840, 7962, 617, 1332, 2941, 4068, 4859, 5719, 6752, 7563, 617, 1332, 3064, 3376, 5166, 6149, 6883, 8236, 552, 2127, 2554, 4171, 4583, 5811, 6840, 8051, 552, 2111, 2858, 4006, 4859, 6149, 6772, 7838, 337, 1386, 2959, 3825, 4512, 5834, 6996, 8147, 337, 2065, 2860, 4105, 4423, 5586, 6677, 8147, 860, 2017, 2806, 4113, 4704, 6186, 6515, 7485, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8237, 484, 2017, 3065, 4018, 5060, 5534, 6979, 7641, 756, 1723, 3128, 3929, 4387, 6205, 6612, 7570, 247, 1341, 3010, 4128, 4652, 5393, 6852, 7379, 810, 1658, 3151, 3224, 4353, 6086, 6456, 7892, 1071, 1913, 2541, 3206, 4730, 5289, 6477, 7369, 308, 2001, 2957, 4071, 4844, 5761, 6338, 7717, 804, 1906, 2586, 3516, 4533, 5210, 6740, 7878, 489, 1597, 2709, 3487, 4949, 5315, 6961, 7893, 489, 1332, 2991, 3364, 5139, 5296, 6774, 7465, 967, 2073, 3109, 3516, 4923, 5883, 6370, 7563, 450, 2028, 2860, 3671, 4512, 5677, 7221, 7591, 899, 1205, 2659, 3681, 4775, 5811, 6467, 8256, 1015, 1503, 2981, 4113, 5103, 5350, 6768, 7260, 317, 1582, 2160, 3895, 4344, 5643, 6731, 7889, 708, 1838, 2316, 3478, 4181, 6097, 6997, 7915, 448, 1939, 2721, 3995, 4350, 6158, 6998, 8252, 115, 1196, 2531, 3259, 5150, 6086, 6422, 7955, 613, 1931, 2653, 4017, 4509, 5863, 6469, 7879, 1033, 1726, 3034, 3623, 4751, 5512, 6470, 7605, 344, 2036, 2712, 4034, 4751, 6039, 6470, 8163, 736, 1665, 3031, 4138, 4494, 5269, 7081, 8149, 531, 1982, 2286, 3583, 4532, 5257, 6974, 8186, 266, 1658, 2951, 3500, 4315, 5371, 6798, 7623, 339, 1205, 2937, 3767, 4531, 5511, 6351, 7930, 368, 1205, 2570, 3455, 4545, 5634, 7022, 8012, 494, 1812, 2299, 3623, 4760, 5910, 6595, 7416, 494, 1205, 2402, 4075, 4687, 5207, 6838, 8078, 494, 1284, 2676, 3218, 4298, 5946, 6441, 7872, 494, 1356, 2309, 3153, 4279, 5781, 6944, 7722, 938, 1559, 2796, 3300, 4972, 5602, 7215, 8189, 864, 1559, 2613, 3190, 4529, 5304, 7080, 7465, 1080, 1559, 2581, 3276, 4869, 6171, 7091, 7503, 1024, 1141, 2549, 3414, 4334, 5513, 6260, 7764, 913, 1723, 3144, 3902, 4487, 5491, 6286, 8031, 1064, 1886, 2540, 3771, 4651, 5966, 7245, 7500, 1102, 1669, 2397, 3911, 4191, 5431, 7221, 7676, 731, 1865, 2542, 3440, 5159, 5493, 6302, 7482, 767, 1858, 2515, 3761, 5095, 6189, 6688, 8126, 304, 1175, 2436, 3826, 5091, 6085, 7058, 8107, 731, 1463, 2946, 3259, 4870, 6103, 6972, 7723, 948, 1992, 3080, 3917, 4861, 5944, 6938, 7480, 335, 1886, 2716, 3615, 5157, 5379, 6938, 7899, 767, 1886, 2943, 3582, 4305, 6014, 6850, 8164, 715, 1363, 3108, 3917, 4732, 5219, 6884, 7846, 228, 1682, 2196, 3674, 4179, 5631, 6884, 8129, 228, 1577, 2718, 3171, 4859, 5543, 6543, 7811, 240, 1440, 2792, 3555, 5019, 5580, 6589, 7641, 228, 1851, 3144, 3710, 5179, 6123, 7082, 7473, 317, 1773, 2960, 3933, 4870, 5515, 6612, 7864, 1033, 1268, 2659, 4137, 4872, 5991, 6933, 8229, 611, 1812, 2724, 3877, 5193, 5716, 6530, 7253, 1023, 2099, 2546, 3868, 5023, 5856, 7094, 7483, 360, 2118, 2731, 3159, 4678, 5399, 6263, 8239, 234, 1241, 2509, 3788, 5079, 5660, 6811, 7981, 1101, 1356, 2346, 3616, 4273, 6046, 6962, 7787, 504, 1284, 2598, 3648, 5157, 5973, 6947, 7721, 401, 1414, 2515, 3616, 5183, 5981, 7152, 7494, 271, 1141, 2502, 3471, 4226, 5794, 7098, 7349, 150, 2008, 2868, 3605, 4690, 5417, 6412, 7751, 1025, 1773, 2741, 3345, 4982, 5697, 6531, 7677, 643, 1850, 2741, 4026, 4983, 5641, 6715, 8252, 536, 1459, 2905, 3551, 4806, 6087, 6847, 7917, 955, 1723, 2152, 4005, 4576, 5864, 6588, 8184, 211, 1780, 2860, 4165, 4257, 5350, 6891, 7498, 663, 1897, 2381, 4085, 5061, 6129, 7217, 8209, 645, 1499, 3098, 3779, 4912, 5661, 6668, 7753, 1033, 1897, 2803, 4006, 4597, 5883, 6715, 8054, 150, 1926, 2940, 3999, 5193, 5716, 6540, 8154, 781, 1814, 2137, 3316, 4868, 5862, 6981, 7852, 1009, 1318, 2761, 3325, 4873, 5950, 6921, 8075, 271, 1955, 2137, 4066, 4206, 5960, 6497, 8146, 970, 1234, 2137, 3577, 5003, 5344, 6552, 8153, 504, 1405, 2137, 3577, 4667, 5991, 6286, 8255, 223, 1779, 2977, 3637, 4715, 5205, 6914, 7816, 1029, 1318, 2339, 3176, 5092, 5976, 6667, 7953, 150, 1499, 2339, 3552, 4666, 5768, 6701, 8031, 1025, 2055, 2137, 3781, 4925, 5797, 6347, 7290, 608, 1935, 2137, 3229, 4987, 5600, 6898, 7625, 1025, 2061, 2736, 3478, 4330, 6000, 6726, 8054, 826, 2061, 3112, 3999, 4559, 6153, 6871, 7798, 424, 2061, 3149, 4074, 4691, 5910, 6528, 7865, 1090, 1146, 2282, 3643, 5184, 5534, 7152, 7264, 610, 2061, 2480, 3427, 4987, 5221, 6880, 7810, 1090, 2061, 3092, 3922, 5020, 5815, 6551, 7296, 424, 1833, 2137, 3488, 5115, 5694, 6953, 7528, 756, 1146, 2359, 3664, 4691, 5694, 6254, 7739, 715, 1978, 2842, 4038, 5079, 5968, 6947, 8213, 440, 1436, 2868, 3305, 4890, 6063, 6443, 7384, 541, 1821, 2638, 3499, 4716, 5810, 6939, 7384, 1059, 1363, 2315, 3407, 4458, 5474, 7076, 7917, 995, 2125, 3002, 3973, 4784, 5800, 7197, 8118, 825, 1826, 2625, 3513, 4802, 6189, 6985, 7883, 516, 1363, 2720, 3391, 4948, 6097, 6443, 8016, 317, 1519, 2487, 3749, 4955, 5546, 6719, 7293, 317, 1430, 2788, 3591, 5124, 6189, 7069, 7680, 228, 1529, 2156, 3957, 4945, 5694, 6677, 7753, 228, 2061, 2729, 3671, 4398, 5548, 6291, 8260, 228, 1597, 3147, 3595, 4374, 6205, 7047, 8066, 256, 1684, 2554, 4153, 4622, 6110, 6291, 7811, 552, 2013, 3040, 3838, 5079, 5677, 6688, 7477, 797, 2111, 2833, 4171, 4704, 5963, 7077, 7677, 488, 2017, 2806, 3893, 4624, 5635, 7077, 8223, 488, 1622, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 3065, 3893, 4624, 6139, 6794, 8196, 915, 1648, 2970, 3391, 4798, 5635, 6515, 8223, 555, 1648, 2970, 3550, 4681, 5811, 6752, 8223, 617, 1750, 2970, 3815, 4583, 5981, 6996, 8076, 617, 1332, 3065, 3374, 4622, 5241, 6840, 7715, 617, 2127, 2729, 3374, 4555, 6149, 6988, 7810, 617, 1736, 2970, 3277, 4996, 5981, 6810, 8130, 555, 1332, 2806, 3680, 4387, 5635, 7124, 8236, 337, 2111, 2970, 4171, 4554, 5385, 6810, 7806, 186, 2065, 2424, 3994, 5060, 6182, 6604, 8237, 818, 1804, 2947, 4011, 5166, 5761, 6589, 8260, 216, 2073, 2838, 3680, 5060, 5216, 6750, 7641, 604, 1499, 3137, 3168, 4826, 5917, 6550, 7979, 442, 1632, 3090, 3741, 4650, 6173, 6570, 8011, 900, 1582, 2455, 4079, 4761, 5948, 6308, 8100, 684, 2068, 2924, 3639, 5017, 5719, 6443, 8087, 901, 1660, 2139, 3646, 4323, 6050, 6314, 7933, 967, 2041, 2473, 3595, 4912, 5641, 7069, 8111, 484, 2097, 2834, 4106, 4589, 6211, 7091, 7576, 984, 2097, 2860, 4017, 4742, 5586, 6688, 7485, 935, 2032, 3109, 4171, 5166, 6063, 6891, 7876, 935, 2032, 2164, 3803, 4704, 5630, 6891, 8267, 935, 2032, 2834, 3932, 5166, 6081, 7132, 7895, 935, 2017, 3135, 3240, 4704, 5635, 6752, 8267, 568, 1695, 3000, 4089, 4387, 5534, 6486, 7477, 195, 1129, 3000, 3206, 5138, 6187, 7127, 7807, 334, 1108, 2691, 4015, 4419, 5908, 7016, 8132, 421, 1332, 2487, 4085, 4334, 5297, 6365, 7367, 757, 1332, 2656, 3470, 4343, 5673, 7129, 7547, 216, 1644, 2379, 3372, 5061, 6005, 6566, 7749, 658, 1971, 2994, 3928, 4678, 5968, 6605, 8156, 404, 1507, 2309, 3293, 4918, 5372, 7082, 8135, 722, 1786, 2386, 3601, 5124, 5943, 6384, 8079, 391, 1655, 2659, 3389, 5145, 5719, 7126, 7639, 391, 1926, 2234, 4117, 4697, 5532, 6249, 7821, 767, 1926, 2891, 3298, 4501, 5684, 6446, 8108, 223, 1251, 2330, 3293, 4643, 6067, 7060, 8241, 643, 1318, 2659, 3279, 4962, 5850, 6915, 7513, 150, 1499, 2659, 3243, 5148, 5947, 6891, 7447, 887, 1867, 2556, 3728, 4994, 5344, 7048, 7396, 663, 1995, 3020, 3540, 4813, 6066, 6229, 7438, 1056, 1562, 2977, 3728, 5060, 5350, 7237, 7703, 288, 1591, 3143, 4097, 5159, 5515, 6871, 7918, 1056, 2068, 2456, 3990, 5038, 6051, 7239, 7677, 959, 1562, 3092, 3737, 5166, 6020, 6870, 8188, 308, 1847, 2975, 3982, 4822, 6129, 6688, 8237, 804, 1399, 3133, 3987, 4551, 5219, 6709, 8237, 308, 2002, 2957, 3886, 5160, 5485, 6979, 7677, 568, 2002, 2709, 3224, 5164, 5993, 7152, 8118, 225, 2002, 2487, 3276, 4267, 5514, 7129, 8016, 225, 1570, 2554, 3681, 4398, 6205, 7100, 7838, 654, 2061, 2175, 3891, 5130, 5767, 6760, 7908, 225, 2061, 2959, 3518, 4870, 5764, 7160, 7602, 317, 2002, 2729, 3518, 5079, 5493, 6607, 7962, 153, 1826, 2980, 3951, 4681, 5957, 7103, 7965, 752, 1981, 2792, 3941, 4555, 5893, 6291, 8260, 492, 1477, 2196, 3778, 4305, 5374, 6837, 8200, 1017, 1865, 2635, 3773, 4364, 5782, 7137, 8057, 360, 1510, 2154, 3894, 4408, 6142, 6894, 7645, 980, 1510, 2239, 3668, 4770, 6002, 6818, 8078, 105, 1657, 2715, 3920, 4881, 5547, 6775, 8151, 935, 1976, 3008, 3487, 4822, 6085, 6830, 8267, 183, 1845, 2941, 3904, 4512, 5795, 7023, 7602, 225, 1633, 2718, 3391, 4762, 5580, 7160, 8080, 757, 1905, 2941, 4161, 5075, 5223, 6443, 7664, 859, 1752, 2833, 3188, 5075, 5901, 6809, 7538, 488, 2017, 2754, 3645, 4622, 5241, 6774, 8147, 186, 2017, 2164, 3803, 4622, 5219, 7226, 7876, 935, 2017, 2164, 3825, 5165, 6186, 7077, 7485, 186, 2017, 2806, 4041, 4287, 6139, 7201, 7806, 818, 1528, 3117, 3367, 4622, 5968, 6972, 8196, 915, 1528, 2991, 3914, 4888, 5705, 6988, 7631, 120, 1199, 2931, 3410, 5053, 5918, 6705, 7746, 1015, 1490, 2965, 3355, 4533, 5485, 7082, 8070, 1015, 1141, 3143, 4168, 4287, 5730, 7011, 7703, 401, 1490, 3150, 3352, 5038, 5359, 7012, 8177, 611, 1849, 2661, 3199, 4327, 5338, 6524, 8128, 814, 1788, 2445, 3906, 4751, 5826, 6523, 7980, 840, 2029, 2309, 3938, 5008, 5960, 6700, 7983, 1067, 1188, 2309, 3652, 4373, 6094, 6224, 8240, 1067, 2062, 2325, 3398, 5124, 6030, 6978, 7954, 531, 1489, 2311, 3651, 5008, 5408, 6596, 7953, 333, 2036, 2137, 3410, 4243, 5512, 6247, 8252, 113, 1251, 2911, 3685, 4832, 6218, 6581, 7517, 917, 1838, 2470, 3220, 4755, 5752, 6476, 8054, 938, 1897, 2549, 4136, 5030, 5299, 6626, 8034, 1024, 1572, 2189, 3604, 4931, 6218, 7219, 7962, 938, 1499, 2189, 4102, 4573, 5512, 7101, 7670, 1016, 1919, 2425, 3306, 4882, 6000, 6514, 7371, 1051, 1146, 2839, 3512, 4592, 6014, 6604, 7898, 256, 1724, 2888, 4092, 4748, 5730, 6265, 8199, 440, 2127, 3000, 3391, 5165, 5436, 7132, 8026, 500, 2106, 2992, 3421, 4923, 6149, 6247, 7748, 789, 1669, 2469, 3188, 4890, 5580, 6540, 8077, 878, 1770, 2608, 3710, 5157, 5438, 6740, 7649, 833, 1804, 2254, 3226, 4859, 5850, 6709, 7768, 1067, 1932, 2860, 3859, 4760, 5952, 7219, 7607, 249, 1469, 2726, 3829, 4354, 5754, 6418, 7968, 363, 1469, 2135, 3946, 5108, 5344, 6951, 7371, 1067, 1440, 2842, 3623, 5008, 5387, 7213, 7538, 643, 1440, 2260, 3463, 4243, 5408, 6928, 7416, 887, 1682, 3040, 3931, 4364, 5634, 7164, 7954, 150, 2050, 2562, 3936, 4245, 6196, 6966, 7383, 1101, 1393, 2373, 3249, 4604, 5250, 6885, 8214, 458, 1296, 2345, 4005, 5192, 5442, 6488, 7900, 363, 1299, 2990, 3612, 4804, 6141, 7219, 7605, 1101, 1509, 2294, 4080, 4321, 5765, 7066, 7605, 271, 1915, 2775, 3420, 4623, 5280, 6626, 8079, 304, 1777, 2980, 3795, 4374, 5740, 6426, 8083, 678, 2033, 2695, 3706, 4777, 5555, 6677, 8086, 955, 1302, 3008, 3917, 4856, 5300, 6725, 7664, 940, 1773, 2980, 3949, 5166, 6195, 7157, 7421, 308, 2000, 3053, 3908, 5061, 6025, 6972, 8188, 1099, 1995, 3021, 4174, 5058, 6163, 7058, 8185, 419, 2041, 2803, 3407, 4888, 5661, 6740, 7557, 276, 1961, 2316, 3999, 5150, 5334, 6853, 7677, 256, 1326, 2303, 3305, 4996, 6117, 6918, 8118, 804, 1370, 2238, 3914, 5095, 5873, 7098, 7721, 1071, 1332, 3135, 3886, 4861, 5385, 6677, 8188, 1084, 1439, 2487, 3487, 4470, 5754, 6550, 7423, 536, 1523, 3132, 3412, 4902, 5742, 6874, 7868, 897, 1983, 2380, 3770, 5122, 5569, 6651, 7505, 462, 1459, 2355, 4090, 5121, 6002, 6514, 7865, 536, 1918, 2380, 3839, 5054, 5773, 6881, 8092, 113, 1734, 2874, 3720, 4404, 5403, 6243, 7966, 495, 1581, 2519, 3481, 4755, 5441, 6920, 7730, 390, 2024, 2511, 3581, 4795, 5844, 6979, 8058, 940, 1995, 2729, 4151, 4374, 5883, 6915, 7565, 970, 1331, 2946, 3945, 5085, 6128, 6787, 7657, 995, 1910, 2556, 4096, 4780, 5824, 6746, 8092, 487, 1540, 2728, 3271, 4878, 5200, 6476, 8061, 271, 1782, 2396, 3580, 4805, 5745, 6910, 8211, 569, 1286, 2151, 3741, 5145, 5414, 7181, 7466, 335, 1624, 2312, 3298, 4913, 6141, 6916, 7603, 778, 1255, 2429, 3801, 5129, 6160, 6393, 7965, 850, 1676, 2940, 4082, 4530, 6195, 6484, 7862, 831, 1778, 2429, 4035, 5183, 6131, 6615, 7481, 1057, 1399, 2731, 4078, 5095, 5390, 7114, 8213, 913, 2107, 2282, 3570, 4408, 5443, 6625, 7574, 913, 1202, 2897, 4084, 4800, 6002, 7061, 7378, 639, 1455, 2897, 3413, 4437, 5573, 6338, 7748, 1024, 1570, 2515, 3613, 4282, 5706, 7164, 7981, 678, 2111, 2288, 3978, 4770, 5285, 7017, 7303, 256, 2001, 2783, 3391, 4329, 5360, 7069, 7532, 225, 1749, 2242, 3749, 5079, 5865, 6607, 7369, 225, 2034, 2473, 3426, 4980, 5962, 6486, 7509, 654, 1283, 2221, 4073, 4638, 6157, 6715, 7811, 228, 1851, 2529, 3394, 4904, 5548, 7095, 7781, 240, 2078, 2869, 4166, 4764, 5438, 7003, 7509, 240, 1488, 3068, 4071, 4512, 5778, 6515, 8066, 419, 1851, 3062, 3825, 5166, 5241, 6612, 7715, 915, 1756, 2941, 3914, 4704, 5241, 7077, 7476, 488, 1622, 3062, 3914, 4704, 5677, 7124, 7715, 915, 1756, 2806, 3914, 4704, 6186, 7124, 8196, 915, 1648, 2914, 3595, 4624, 6186, 7077, 7766, 543, 1851, 2988, 4006, 5083, 5534, 6612, 7476, 127, 1488, 3064, 4174, 5168, 5223, 6589, 7715, 518, 1898, 2554, 3407, 5138, 5901, 7152, 8213, 654, 1345, 2904, 4145, 5079, 5581, 6604, 8061, 518, 2127, 2565, 3891, 5138, 5624, 6607, 8126, 228, 2111, 2554, 4006, 4638, 5548, 6584, 7563, 228, 1851, 3147, 3535, 4859, 6149, 6809, 8185, 256, 1529, 2271, 3350, 4326, 6000, 7103, 8061, 240, 1756, 2554, 4006, 4423, 5241, 6752, 7715, 240, 1468, 2970, 3376, 4549, 5767, 6612, 7723, 228, 1750, 2468, 3770, 5159, 6149, 6889, 7303, 543, 1851, 2791, 3407, 4762, 5705, 6810, 8262, 256, 1750, 2356, 3394, 4638, 5624, 7160, 7485, 543, 1345, 2669, 4047, 4344, 6175, 6671, 7717, 818, 2017, 2554, 3470, 4704, 5792, 6668, 7563, 860, 1528, 2806, 3914, 4704, 5677, 7124, 7715, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3117, 3367, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 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, 3893, 4798, 6186, 7124, 7766, 4, 2 ]
[ 1, 53, 26, 5, 43, 11, 63, 66, 5, 52, 33, 62, 66, 5, 41, 20, 63, 5, 50, 60, 5, 5, 3, 914, 1717, 3053, 4018, 5139, 6120, 6889, 7715, 752, 2090, 2837, 4035, 5070, 6166, 6850, 7508, 1035, 1681, 2842, 4119, 4855, 6042, 6880, 7311, 203, 1469, 2532, 3965, 5137, 5213, 6997, 7478, 673, 1426, 3010, 3702, 5015, 5819, 6244, 7684, 179, 1426, 2301, 3519, 4211, 5685, 6466, 8023, 407, 1865, 2627, 3168, 4847, 5236, 6795, 7713, 827, 1828, 2425, 3504, 5071, 5512, 7116, 7822, 242, 1653, 2358, 3181, 4832, 5449, 6522, 7643, 320, 1724, 2188, 3943, 4760, 6101, 6614, 7844, 738, 1907, 2627, 3383, 4241, 6130, 6817, 7828, 620, 1422, 3051, 3900, 5115, 6217, 6400, 7739, 428, 1570, 2987, 3768, 4487, 5657, 7184, 7742, 331, 2109, 2230, 3305, 5171, 5745, 6937, 7911, 1102, 1132, 2720, 3743, 4673, 5766, 6932, 8061, 709, 2065, 2251, 3564, 4855, 5496, 6909, 8099, 1015, 1199, 3026, 3592, 4420, 6094, 6772, 7756, 473, 1585, 2361, 4036, 4433, 5810, 6564, 7786, 1015, 1925, 2163, 4168, 4727, 5445, 6338, 7470, 776, 1468, 2352, 4168, 4668, 6140, 7160, 8247, 844, 1199, 2895, 3951, 4808, 6094, 6703, 8085, 980, 1523, 2858, 4085, 5145, 5572, 6736, 7814, 776, 1609, 2925, 3176, 4764, 5359, 7106, 7705, 895, 1615, 2977, 3153, 4531, 5353, 6378, 7496, 895, 1615, 2977, 3479, 5029, 5347, 6879, 7758, 320, 1393, 2173, 3215, 5190, 6089, 7052, 7284, 1029, 1135, 2459, 3217, 4337, 6090, 6370, 7746, 840, 1877, 2137, 3337, 5008, 6162, 6372, 8157, 643, 1849, 2137, 3826, 4960, 6174, 6360, 7868, 938, 1318, 2234, 4164, 4972, 5881, 7035, 7794, 262, 1786, 2299, 3551, 5079, 6064, 7198, 7408, 537, 1509, 2764, 4162, 4759, 5346, 6573, 8095, 216, 2065, 2946, 3487, 4429, 5995, 7004, 7259, 1047, 1758, 3098, 3253, 5088, 5684, 6920, 7948, 571, 1280, 3021, 4097, 4872, 5981, 6584, 8107, 860, 1467, 3135, 3367, 4551, 5901, 7218, 8147, 488, 2032, 3007, 3982, 4630, 5901, 7084, 8083, 186, 2017, 3065, 3803, 4798, 6182, 7124, 8260, 488, 2032, 2806, 3893, 4704, 5901, 6752, 8267, 488, 1528, 2781, 3893, 4624, 5241, 7077, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 488, 2017, 3065, 3825, 4624, 5635, 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, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1961, 2970, 3893, 4764, 6139, 6996, 7717, 419, 1974, 3147, 3550, 4727, 5515, 7077, 8196, 419, 1974, 2875, 3233, 5060, 6182, 6996, 8076, 105, 1675, 2536, 3970, 4344, 6204, 7096, 7827, 955, 1791, 2652, 3766, 4344, 5550, 6442, 7718, 752, 1596, 2536, 3224, 4801, 6221, 7152, 7959, 850, 1596, 2986, 3300, 4258, 6015, 7007, 7869, 844, 2066, 2986, 3521, 5128, 5727, 6949, 8170, 1038, 1139, 3040, 3233, 4778, 5658, 7087, 7686, 803, 1596, 3040, 3529, 4592, 5594, 6673, 7852, 247, 1828, 2832, 3936, 4796, 6180, 6422, 7621, 880, 1171, 2339, 3581, 5011, 6088, 6730, 7968, 160, 2118, 2732, 3169, 4601, 5589, 6844, 7717, 373, 1915, 2839, 3960, 5090, 5938, 6243, 8205, 881, 1732, 2793, 3983, 5193, 5474, 6442, 8125, 993, 1164, 3112, 3535, 4755, 5840, 6668, 7438, 807, 2008, 2221, 3970, 5023, 5527, 6617, 7873, 487, 1302, 2491, 3394, 4946, 5981, 6672, 8012, 986, 1777, 2282, 3575, 4589, 5224, 6280, 7905, 582, 1550, 3076, 3904, 4402, 5664, 7192, 7288, 545, 2009, 2346, 3251, 4539, 5978, 6692, 7260, 271, 1550, 2175, 3788, 4539, 5523, 7181, 8189, 1025, 1550, 2429, 4037, 4415, 5764, 6592, 7743, 424, 2088, 2880, 3990, 5165, 5844, 7120, 7598, 488, 2000, 2946, 3710, 5060, 6063, 6776, 8147, 186, 2000, 2946, 3886, 5104, 5241, 6972, 7717, 818, 1869, 2803, 3982, 4622, 6182, 7084, 8237, 956, 1648, 3117, 4145, 4888, 5832, 6996, 8237, 967, 1386, 2709, 3803, 4630, 6186, 7207, 7631, 186, 2073, 3135, 3982, 5060, 6081, 7239, 7949, 818, 1620, 3065, 3982, 4980, 5832, 6794, 7766, 956, 1620, 3117, 3886, 4704, 6129, 7239, 8147, 541, 2098, 2717, 3440, 4622, 6181, 6672, 8016, 568, 1813, 2282, 3359, 4536, 5629, 7007, 7716, 552, 2002, 2944, 3374, 5106, 5438, 6980, 7393, 552, 2065, 2473, 3932, 5083, 5548, 6430, 7717, 256, 2106, 2709, 3364, 5157, 5908, 7098, 7485, 256, 2127, 2473, 4068, 4583, 5677, 6607, 8093, 789, 1525, 3021, 3470, 4890, 5515, 6677, 8047, 240, 1750, 2454, 3879, 5159, 5534, 6612, 7664, 518, 1750, 2914, 4174, 4704, 6149, 7120, 7717, 901, 1345, 2792, 3933, 4533, 5963, 6935, 7262, 645, 1773, 3008, 3556, 4780, 6110, 6540, 7481, 1067, 1333, 2257, 3578, 4891, 5262, 7071, 8240, 249, 1950, 2407, 3536, 4868, 6030, 7232, 8118, 333, 1503, 2377, 3602, 4989, 5798, 7003, 8020, 540, 1503, 2628, 3600, 4273, 5711, 7070, 7625, 271, 2050, 2766, 3552, 5151, 5528, 7109, 7441, 465, 1199, 2690, 3701, 4664, 5245, 6806, 8073, 1057, 2059, 3126, 4004, 5144, 6198, 6803, 7602, 833, 1915, 3026, 3783, 4918, 5658, 6884, 7291, 308, 1540, 2970, 3866, 4287, 5294, 7129, 7716, 684, 1700, 2970, 3909, 5129, 5378, 6988, 7676, 804, 1660, 2167, 3909, 5038, 5832, 6752, 7631, 757, 1706, 3149, 3855, 5020, 5918, 7091, 8205, 334, 1238, 2196, 3410, 4618, 5548, 7114, 7960, 397, 1174, 2139, 3820, 4651, 5555, 7232, 7376, 495, 1306, 3080, 4072, 4180, 6154, 6870, 8099, 893, 1971, 2128, 4094, 4942, 5504, 6768, 7313, 936, 1773, 2883, 4003, 4804, 5543, 6347, 7753, 936, 1154, 2506, 3195, 4378, 5604, 6600, 7571, 936, 1555, 2805, 3601, 5018, 5732, 7229, 7841, 113, 1855, 2506, 3778, 4635, 5933, 7140, 7565, 1030, 1674, 2258, 3408, 4204, 6167, 7042, 7869, 371, 2050, 2506, 3910, 4462, 5947, 7063, 8139, 371, 1751, 2506, 3170, 4271, 5578, 7112, 7554, 371, 1674, 2974, 3193, 5188, 6002, 6811, 8078, 371, 1146, 3151, 4137, 4420, 6204, 6572, 7817, 235, 1937, 2536, 3998, 5188, 5810, 6787, 7916, 603, 1674, 2974, 3170, 5138, 5601, 7022, 7462, 776, 1849, 2741, 3701, 4339, 5223, 6542, 7537, 693, 1897, 2741, 3790, 4537, 5719, 6476, 7386, 693, 1582, 2579, 3964, 4448, 6015, 6504, 8271, 265, 2073, 2979, 3214, 4925, 6082, 6801, 7709, 371, 1786, 2365, 3652, 5134, 5593, 6498, 8181, 693, 1408, 2365, 3219, 5127, 5596, 6504, 7866, 888, 1141, 3018, 3312, 4748, 5759, 7112, 7606, 265, 1742, 2310, 4041, 4404, 5480, 6744, 8095, 730, 1510, 3028, 3812, 4945, 5223, 6466, 8165, 730, 1108, 2401, 3711, 4229, 5212, 6952, 8055, 113, 1570, 2942, 3339, 4214, 5650, 6915, 8015, 491, 1693, 2258, 3751, 4384, 5620, 6886, 7948, 495, 1397, 2579, 3341, 5171, 5606, 6546, 8078, 807, 1534, 2579, 3342, 4644, 5745, 6344, 7275, 844, 1561, 2444, 3853, 4350, 5734, 6426, 7727, 390, 1289, 3109, 3639, 4934, 5695, 6726, 8253, 1099, 2041, 3021, 3361, 4555, 5901, 6776, 7303, 935, 1876, 3135, 3827, 4782, 5687, 7207, 8076, 818, 2017, 3110, 3516, 4888, 5630, 6709, 7664, 488, 1684, 2946, 4166, 5166, 6182, 7120, 7732, 818, 1528, 3065, 3893, 4624, 5767, 6786, 8223, 859, 1750, 2957, 4011, 4980, 5883, 6752, 8223, 859, 1974, 2880, 4068, 5079, 5210, 6996, 8126, 859, 2127, 3147, 3891, 4549, 5550, 7152, 7865, 105, 2106, 2858, 3518, 4622, 5385, 6772, 7664, 617, 1750, 2554, 3770, 4304, 5719, 6810, 7563, 859, 2127, 3144, 3914, 4512, 5296, 6810, 7664, 859, 2127, 2554, 3827, 4583, 5811, 6291, 7563, 4, 2 ]
[ 1, 33, 75, 35, 5, 67, 20, 66, 5, 17, 75, 5, 31, 14, 66, 5, 5, 5, 42, 69, 30, 5, 42, 11, 30, 5, 5, 5, 50, 11, 54, 78, 5, 42, 14, 64, 62, 66, 5, 43, 20, 63, 64, 52, 47, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 6211, 7124, 8147, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 1851, 2914, 3893, 4624, 5493, 7124, 8147, 419, 1623, 2941, 3914, 4398, 5241, 6752, 8126, 756, 1375, 2582, 3993, 4606, 5216, 6393, 7957, 616, 1375, 2457, 4076, 4946, 5276, 6513, 7618, 681, 2008, 2346, 3965, 4636, 5739, 6439, 7750, 247, 2099, 2987, 3936, 4800, 6220, 7129, 7449, 160, 1770, 2810, 3578, 4510, 5242, 7198, 7849, 610, 1499, 2661, 3398, 5169, 5765, 6559, 8271, 331, 1931, 2544, 4168, 4623, 5768, 7119, 7975, 825, 1199, 2187, 3370, 4343, 5627, 7149, 7547, 410, 1269, 2348, 3649, 5090, 6114, 6639, 8092, 895, 1477, 2163, 3720, 4418, 5640, 6502, 7928, 1019, 1682, 2429, 3714, 4214, 5909, 6828, 7519, 668, 1426, 2429, 3315, 4321, 6135, 6673, 8028, 750, 1596, 2915, 3793, 5075, 5525, 6719, 7472, 789, 1736, 2473, 3226, 4412, 5470, 7149, 7607, 256, 1452, 2833, 3413, 4181, 5515, 7201, 7878, 256, 2030, 2315, 3550, 5138, 6137, 7084, 8130, 256, 1874, 2487, 3857, 4287, 6094, 6980, 8025, 440, 2032, 2839, 3394, 4955, 6195, 6615, 7902, 132, 1153, 2970, 3391, 4366, 5219, 7132, 8061, 223, 1407, 2998, 3332, 4387, 5891, 6919, 7895, 976, 1926, 2983, 3393, 4214, 5872, 6683, 7915, 895, 1800, 2966, 3455, 4507, 5495, 6398, 7659, 1067, 1106, 2218, 3284, 4459, 6109, 6456, 8026, 840, 1106, 2751, 3717, 4196, 5447, 6681, 7908, 536, 1926, 2974, 4016, 4468, 5636, 6754, 8129, 492, 1743, 2979, 3717, 4410, 5457, 6872, 8174, 113, 1248, 2532, 3790, 4687, 5640, 6673, 7284, 976, 1669, 2911, 3261, 5144, 5745, 6360, 8166, 759, 1770, 2349, 4115, 5195, 5898, 6299, 8073, 959, 1994, 3147, 3877, 4859, 5797, 6525, 7532, 217, 2061, 2615, 3916, 5169, 5810, 6882, 7973, 976, 1463, 2389, 3479, 4561, 6130, 6614, 8044, 895, 1782, 2349, 3897, 4483, 5239, 6980, 8186, 895, 1244, 2349, 4099, 4440, 5959, 6913, 8176, 271, 1407, 2979, 3403, 5088, 5989, 7092, 7544, 610, 1707, 3112, 3895, 4440, 5350, 6850, 8046, 440, 1919, 2560, 3314, 4715, 5980, 6894, 8209, 288, 1649, 2381, 3188, 4429, 6014, 7030, 7918, 804, 1560, 3144, 3710, 5020, 5892, 7047, 7477, 440, 1369, 2941, 3767, 5088, 5761, 6536, 8066, 440, 1849, 2282, 3961, 5017, 6080, 7100, 7660, 115, 1736, 2137, 3317, 4983, 5653, 6562, 8179, 113, 1596, 2487, 3697, 4896, 5390, 6468, 7275, 803, 1826, 2258, 4088, 4846, 5595, 6775, 8254, 875, 1826, 2241, 3899, 4278, 5574, 6772, 8140, 1041, 1171, 2951, 3835, 4209, 5594, 6469, 7981, 1052, 1938, 2260, 3549, 4485, 6135, 6963, 7253, 1052, 2061, 2642, 3592, 4719, 5942, 6442, 7737, 1005, 1370, 3040, 3690, 4730, 5578, 6961, 7809, 223, 1348, 3121, 3277, 4910, 5955, 6504, 8005, 952, 1789, 2321, 3737, 5193, 5983, 6637, 8046, 643, 1332, 2151, 3536, 4929, 5457, 6251, 7894, 731, 1332, 2839, 3777, 4525, 5693, 6680, 7992, 304, 1457, 2956, 3413, 5001, 5754, 7051, 7592, 405, 1897, 2151, 3596, 4239, 5752, 7181, 8267, 488, 1998, 2493, 3990, 4573, 5942, 6668, 7720, 935, 1623, 2880, 3374, 4447, 5514, 6584, 7806, 356, 1332, 2139, 3595, 4872, 5908, 7129, 8076, 105, 1349, 2880, 3785, 4912, 5630, 6972, 7508, 915, 1684, 2970, 3391, 5138, 6175, 6688, 8147, 860, 1528, 2806, 4174, 4704, 6081, 7077, 8147, 860, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 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, 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, 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, 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, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 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, 3825, 4798, 6186, 7124, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 132, 2088, 3065, 3825, 4780, 5963, 7006, 7732, 488, 1528, 2164, 3893, 4624, 5635, 7077, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7239, 7766, 252, 1517, 2644, 3904, 4818, 6114, 6779, 7844, 91, 1396, 2761, 3230, 4244, 5206, 6984, 8053, 617, 1490, 3059, 3932, 4237, 5935, 6800, 8213, 104, 1596, 3150, 4111, 4807, 5334, 7012, 7979, 937, 1972, 2474, 3249, 4941, 5446, 6512, 8200, 408, 1898, 2468, 4165, 4650, 5856, 6272, 8168, 537, 1183, 3028, 3982, 4558, 5520, 6677, 8048, 1016, 1898, 2578, 3753, 4928, 5697, 6623, 7524, 961, 1527, 2502, 3753, 4302, 5899, 7103, 8217, 951, 1830, 3057, 3949, 4590, 5765, 7043, 7591, 684, 1286, 2642, 3253, 4918, 5294, 7010, 7631, 1097, 1869, 2326, 4011, 4630, 5493, 6979, 8237, 1097, 1869, 2991, 4011, 5038, 5635, 7084, 8179, 1097, 1175, 3006, 4114, 4822, 6195, 7201, 7949, 818, 2068, 2838, 3909, 4782, 6129, 6786, 7949, 818, 2017, 3117, 4114, 5038, 5241, 7132, 8185, 555, 1992, 3007, 4174, 4624, 6129, 6302, 8076, 356, 1257, 2188, 3851, 4512, 5548, 6296, 7811, 945, 1528, 3065, 3893, 4624, 5892, 6752, 7485, 488, 2017, 2806, 4071, 4624, 6081, 7006, 7766, 488, 1528, 2806, 3893, 4624, 5635, 6794, 8223, 818, 2017, 3065, 3825, 4624, 6186, 6996, 8223, 488, 1528, 2164, 3893, 4624, 6186, 7124, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8223, 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, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 579, 1320, 2971, 3838, 4921, 5385, 6592, 7997, 165, 1801, 2453, 3662, 5097, 6148, 6433, 7927, 153, 1421, 2355, 3826, 4526, 5424, 6413, 7547, 825, 1630, 2529, 4065, 5188, 6108, 6925, 7546, 616, 1555, 2361, 4027, 4715, 5250, 7238, 7954, 964, 1346, 3103, 4055, 4669, 5419, 6675, 7823, 179, 1740, 2672, 3356, 4874, 6010, 6828, 7442, 966, 1261, 2559, 3326, 4403, 5518, 6398, 7542, 810, 1261, 2847, 3748, 4678, 5738, 6620, 7590, 173, 1440, 2748, 3531, 4848, 5828, 6635, 8109, 739, 1440, 2345, 3925, 4764, 5782, 6354, 8247, 310, 1440, 2876, 3764, 5005, 5479, 6360, 7756, 611, 1404, 2506, 3379, 5128, 5885, 6592, 7578, 511, 2105, 2917, 3314, 5018, 5646, 7141, 7273, 508, 1840, 2506, 4012, 4506, 5277, 6542, 7671, 508, 1278, 2894, 3748, 5124, 5621, 6518, 7877, 508, 1499, 2506, 3757, 4770, 5607, 7080, 8197, 508, 1682, 2506, 3814, 4800, 5346, 6707, 7712, 508, 1318, 2791, 3727, 4401, 5480, 6275, 7930, 887, 1426, 2769, 3814, 4557, 5643, 6694, 7922, 641, 2050, 2192, 3967, 4883, 5995, 6237, 8046, 831, 1426, 2860, 3915, 4589, 5646, 6542, 8087, 678, 1898, 3150, 3422, 4709, 5567, 7168, 7768, 424, 2088, 2791, 3154, 4387, 5611, 6408, 8259, 424, 1426, 2728, 3524, 4994, 5346, 6239, 7649, 424, 1426, 2880, 4043, 4462, 5360, 6612, 7467, 571, 1426, 2453, 3463, 4217, 6169, 6909, 7570, 403, 1777, 2953, 3929, 4716, 6063, 7162, 8078, 571, 1349, 2858, 3413, 5157, 5911, 6325, 8209, 571, 1496, 3108, 3908, 4598, 5586, 6762, 8103, 510, 2063, 2970, 3917, 4918, 5606, 7095, 8093, 818, 1623, 2957, 3516, 4551, 6205, 6979, 8237, 201, 1528, 2781, 3710, 5038, 5901, 6996, 8185, 818, 2017, 3110, 4071, 4798, 6129, 6794, 7723, 914, 1648, 2957, 4018, 4888, 5968, 6604, 8185, 356, 1269, 3007, 3851, 4918, 5838, 6472, 7906, 859, 1684, 2473, 3363, 4522, 5892, 6889, 7732, 859, 1851, 2656, 3440, 4398, 5678, 6688, 7831, 935, 1684, 2473, 4145, 4287, 5550, 6889, 7717, 935, 1623, 2970, 3803, 4890, 6182, 6515, 7473, 555, 1623, 2806, 3803, 4387, 6160, 6584, 8147, 488, 1528, 2833, 3825, 5060, 5678, 7201, 7876, 488, 2017, 2914, 3893, 4624, 6139, 6584, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 356, 1633, 3144, 3866, 4890, 5635, 7201, 7476, 225, 1349, 2196, 3352, 4638, 6006, 6224, 7838, 334, 1108, 2181, 4078, 4192, 5444, 7146, 7669, 568, 2008, 2838, 3540, 4996, 5296, 6607, 7869, 572, 1553, 2422, 3671, 4648, 5616, 6899, 8151, 893, 1570, 2843, 4080, 4522, 5810, 7151, 7778, 614, 1573, 2887, 3824, 5024, 6201, 6270, 7537, 761, 2114, 2932, 3261, 4568, 5263, 6651, 7934, 1052, 1865, 2134, 4136, 4364, 5745, 6398, 7525, 1024, 1199, 2288, 3175, 4527, 5220, 6348, 8061, 100, 2095, 2361, 3557, 5125, 5365, 6525, 7476, 110, 1489, 2212, 3826, 5160, 5288, 7037, 7532, 980, 1146, 3150, 3807, 4662, 5866, 7184, 7462, 891, 1275, 2493, 3366, 4417, 5754, 7157, 7616, 1005, 1660, 2791, 4099, 5138, 5365, 6456, 8254, 1071, 1997, 2309, 3743, 4646, 5351, 7000, 7687, 831, 1523, 2772, 3697, 4800, 6026, 6980, 8113, 211, 1933, 3008, 3391, 4270, 5834, 6889, 8267, 304, 1932, 2957, 3188, 4343, 6211, 7132, 7949, 663, 1797, 3098, 3982, 4179, 5661, 6734, 7720, 424, 2125, 2980, 3226, 5053, 6211, 6408, 7631, 980, 2079, 2957, 4033, 5143, 6103, 7095, 7631, 789, 1939, 3007, 3740, 5166, 5792, 7024, 7723, 240, 2061, 3131, 3770, 4849, 6103, 7157, 8209, 240, 1756, 3131, 3391, 4216, 5493, 7069, 8237, 240, 1468, 3131, 3776, 4412, 5678, 6979, 7831, 240, 1623, 2833, 3391, 4715, 5493, 6889, 8245, 518, 1756, 2487, 3486, 4549, 5896, 6809, 8267, 153, 2058, 2380, 3448, 4549, 6001, 6723, 7887, 860, 2097, 2783, 3987, 4704, 5883, 6612, 8260, 956, 1675, 3064, 3595, 5166, 6182, 6996, 7782, 308, 1869, 2582, 3982, 4822, 5635, 6996, 7948, 211, 1700, 3064, 3975, 5159, 5493, 6996, 7303, 804, 1933, 2783, 3540, 5080, 6129, 6612, 7716, 308, 1218, 3043, 4108, 5061, 5635, 6668, 7570, 742, 1550, 2709, 3359, 4215, 6128, 6938, 7574, 489, 1345, 2582, 3770, 4728, 5527, 7084, 7795, 986, 1331, 2692, 3363, 4319, 5341, 6263, 7505, 845, 1118, 2196, 3351, 5098, 5918, 7188, 8033, 730, 1108, 3140, 3443, 4790, 5724, 6901, 7740, 296, 1695, 2941, 3512, 4545, 6005, 6889, 8081, 1070, 1349, 2844, 3326, 4364, 5263, 6507, 7618, 673, 2114, 2724, 3889, 4908, 5745, 7175, 7762, 1094, 1349, 2532, 3877, 4678, 5580, 7079, 8067, 756, 1171, 2856, 3394, 4206, 5596, 6398, 7809, 715, 1653, 3049, 3510, 5103, 5313, 6586, 7367, 750, 1349, 2941, 3851, 5151, 5537, 6938, 8164, 955, 1349, 2356, 3770, 4321, 5894, 6963, 7918, 955, 1424, 2383, 3374, 4818, 5397, 6740, 7835, 543, 1467, 2941, 3811, 4399, 5378, 6604, 8081, 225, 1898, 2335, 3550, 5150, 6175, 6986, 7492, 228, 1853, 2359, 4137, 4535, 5719, 7002, 8076, 488, 2097, 3065, 4145, 4583, 6110, 6604, 8237, 818, 1756, 2729, 4071, 4583, 5241, 7207, 8147, 488, 2017, 2806, 3914, 4624, 6139, 7226, 8147, 488, 1528, 2806, 3893, 4624, 6139, 6794, 8147, 488, 1528, 2914, 3893, 4624, 6139, 6794, 8196, 915, 2017, 2806, 3893, 4704, 5635, 6794, 8223, 105, 1851, 2833, 3595, 4549, 6085, 6604, 7715, 475, 1623, 2869, 3662, 4398, 5796, 7207, 7822, 935, 2056, 2781, 3914, 4583, 6103, 7085, 7631, 132, 1945, 3108, 3645, 4387, 6211, 6668, 8185, 955, 1675, 3143, 3987, 4387, 6063, 6612, 8195, 1033, 1983, 2493, 3176, 4477, 5279, 6708, 7312, 1067, 1205, 2688, 3505, 5003, 5244, 6563, 8087, 1067, 1669, 2231, 3378, 4195, 5777, 6927, 8189, 826, 1873, 2873, 3688, 4525, 5220, 6426, 8200, 1033, 1919, 2391, 3681, 4416, 6203, 6684, 7962, 776, 1146, 3001, 4145, 4433, 5360, 6378, 8081, 110, 1849, 2348, 4119, 5159, 6064, 7217, 7264, 373, 2094, 2980, 3156, 4782, 5235, 7154, 7355, 645, 1867, 3092, 3776, 4324, 6024, 6251, 7722, 833, 2073, 2905, 3961, 4792, 5796, 6308, 8213, 804, 2073, 2315, 3857, 4716, 5824, 6500, 8266, 833, 2065, 2970, 4068, 4536, 6131, 6651, 7311, 183, 2002, 2775, 4113, 4790, 5684, 7129, 7992, 225, 1129, 3068, 4092, 4877, 5778, 6515, 7868, 228, 1706, 2791, 3764, 4890, 6110, 6579, 8076, 225, 1949, 2359, 3276, 4687, 5584, 6338, 8253, 240, 1468, 2316, 3434, 4859, 6110, 7129, 7677, 256, 1468, 2473, 3413, 5138, 6175, 7152, 7563, 356, 1175, 2709, 3596, 4923, 5844, 7220, 7962, 356, 2097, 2803, 3595, 4387, 5788, 6584, 8046, 956, 1468, 2858, 3990, 4782, 5413, 6677, 8147, 401, 1280, 2860, 3866, 4583, 5811, 6786, 8179, 1071, 1233, 3076, 3391, 4588, 5678, 6612, 7992, 1057, 1499, 2263, 3960, 5090, 5444, 7114, 8099, 942, 1299, 2273, 3649, 5110, 5614, 6563, 8158, 217, 1369, 2848, 3395, 5135, 6002, 6573, 7611, 995, 1510, 2435, 3262, 4458, 5681, 6998, 8197, 620, 1397, 2156, 3913, 4365, 5821, 6315, 8210, 692, 1494, 3074, 3535, 4571, 5499, 6444, 8191, 139, 1527, 2327, 3979, 4995, 5734, 7076, 8206, 397, 1919, 2566, 3962, 4690, 6187, 6498, 7462, 103, 2067, 2373, 3986, 4993, 5925, 6482, 8082, 970, 1858, 2748, 3792, 4897, 5714, 6820, 7721, 390, 1653, 2252, 3963, 4343, 5650, 6338, 7823, 308, 1623, 2656, 4135, 4790, 5202, 6671, 7962, 510, 1992, 2656, 3391, 5007, 5963, 7058, 7303, 142, 1528, 2914, 4145, 4782, 5963, 6515, 7732, 818, 1992, 3007, 3803, 4704, 6139, 6996, 7876, 818, 2017, 2781, 3893, 4624, 5901, 7201, 8223, 818, 2017, 2914, 3893, 4624, 6103, 7124, 7806, 818, 2017, 2914, 3893, 4624, 6081, 7201, 7766, 818, 1648, 2164, 3825, 4798, 6186, 7226, 8147, 488, 1528, 2914, 3893, 4624, 6139, 6752, 8223, 915, 1684, 2858, 3825, 5079, 5981, 6794, 7485, 915, 1684, 2858, 3825, 5079, 5219, 6996, 7485, 915, 1684, 2858, 3914, 5079, 5534, 7006, 7831, 488, 1684, 2914, 3893, 4512, 5892, 7120, 7485, 488, 1622, 3065, 3825, 4512, 6139, 6996, 7766, 915, 1468, 2833, 3914, 4798, 6139, 6589, 8126, 555, 1684, 3064, 4168, 4681, 6139, 7226, 7766, 915, 1468, 2833, 3914, 4798, 6139, 7226, 8126, 915, 1622, 2970, 3391, 4870, 5635, 6996, 8126, 915, 1468, 2806, 3914, 4798, 5241, 7226, 8126, 488, 1528, 3117, 3391, 4798, 5635, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7226, 7766, 488, 1622, 2914, 3893, 4624, 6139, 6752, 7766, 488, 1528, 2833, 3893, 4624, 6139, 6589, 7766, 4, 2 ]
[ 1, 31, 16, 5, 54, 33, 51, 64, 66, 5, 53, 57, 53, 16, 54, 66, 5, 5, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 427, 1218, 2469, 3932, 4398, 5661, 7129, 7887, 767, 1509, 2542, 3256, 4954, 6160, 7098, 7557, 262, 1171, 2710, 3241, 5085, 5357, 6839, 7645, 1023, 1496, 2924, 3511, 4639, 5419, 6672, 7807, 1101, 1509, 3130, 3152, 4790, 5303, 7167, 7791, 304, 1248, 2519, 4006, 4593, 5865, 6698, 8231, 401, 1522, 2979, 4085, 4632, 5672, 6403, 8206, 223, 1196, 2365, 3880, 4795, 5835, 6615, 7537, 731, 1621, 2349, 3259, 4764, 6063, 7168, 7348, 511, 2019, 2759, 3648, 4723, 6066, 6789, 7689, 620, 1789, 2170, 3354, 4819, 5441, 6723, 7927, 831, 1695, 2352, 3989, 4825, 5814, 6854, 7966, 335, 2127, 2587, 4125, 5120, 5203, 6810, 7537, 401, 1522, 2542, 3226, 4896, 5954, 6762, 7705, 304, 1550, 2803, 3533, 5143, 6097, 7091, 8195, 1099, 1635, 3007, 3500, 4633, 6110, 6291, 7440, 915, 1876, 2880, 3550, 5020, 6146, 7218, 7865, 419, 2017, 3007, 3550, 4398, 5241, 6717, 8236, 789, 1876, 2370, 4138, 4727, 5625, 6889, 8061, 757, 1570, 2740, 3487, 5142, 5548, 7006, 8126, 195, 1570, 2585, 3183, 4863, 5677, 6579, 7732, 654, 1695, 2349, 3550, 4859, 5963, 7047, 7715, 240, 1961, 2833, 3407, 4859, 5719, 6338, 7865, 555, 1623, 2914, 3623, 4267, 5689, 6515, 8216, 789, 1961, 2554, 4006, 5138, 5981, 6752, 8236, 859, 2085, 2326, 3819, 5135, 5609, 6589, 7643, 684, 1939, 2582, 3918, 4890, 5378, 6830, 7776, 160, 1914, 2348, 4027, 5038, 6181, 7017, 7717, 408, 1989, 2750, 3191, 4667, 5297, 7114, 7896, 976, 1633, 2387, 4126, 4470, 5849, 6850, 8135, 391, 1674, 2591, 4078, 4333, 5894, 6348, 7580, 802, 1674, 2580, 3370, 5143, 6174, 7045, 7710, 271, 1348, 2506, 3179, 4668, 6133, 6399, 7678, 504, 1879, 2894, 3432, 4913, 6005, 6881, 8248, 504, 1933, 2966, 3616, 4766, 6164, 6670, 7768, 386, 1755, 2863, 3984, 4565, 5650, 6408, 8101, 643, 1807, 2838, 4133, 4350, 5761, 6263, 7476, 504, 1633, 2981, 3316, 4496, 5464, 6881, 8195, 663, 1807, 2261, 4112, 5088, 6175, 7205, 8178, 844, 1269, 2519, 4128, 5134, 6089, 6687, 8074, 776, 1623, 2750, 3502, 4554, 5550, 7203, 7999, 844, 2068, 2661, 3749, 4810, 5924, 6774, 7996, 776, 1333, 2979, 3732, 4881, 6080, 7173, 7578, 862, 1562, 2741, 3360, 5109, 5810, 7067, 8043, 1057, 1139, 2741, 3449, 4321, 5518, 7050, 8170, 610, 1630, 2429, 3165, 5134, 5360, 7098, 8173, 610, 1499, 2868, 3776, 4536, 5924, 6465, 7916, 1025, 1797, 2905, 4096, 4307, 5991, 6732, 7971, 390, 1915, 3021, 3990, 4918, 6195, 6709, 7919, 804, 2125, 2781, 3201, 4551, 6103, 6709, 8076, 153, 2098, 2746, 3361, 4867, 5610, 6515, 7664, 552, 1510, 2858, 3595, 4867, 5321, 7017, 7957, 488, 1623, 2838, 3516, 5058, 5892, 6612, 8076, 818, 1620, 2781, 3891, 5080, 5883, 7058, 8267, 818, 1620, 3117, 3982, 4888, 5612, 7084, 7766, 488, 1528, 3117, 3367, 5038, 6186, 7077, 8147, 488, 1622, 2914, 3825, 4624, 6139, 7124, 8223, 488, 1528, 2914, 3893, 5038, 5241, 7077, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3825, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 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, 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, 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, 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, 4, 2 ]
[ 1, 16, 28, 23, 66, 5, 31, 14, 66, 5, 66, 26, 53, 5, 76, 45, 52, 77, 16, 53, 78, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5493, 7226, 7715, 860, 2017, 2914, 3825, 4624, 5901, 7124, 8147, 484, 2060, 2941, 3543, 4181, 6149, 6972, 7706, 756, 1108, 2436, 3811, 4782, 5811, 6338, 7384, 640, 1301, 2346, 3472, 4345, 5809, 6271, 7941, 631, 1953, 2175, 3548, 4469, 6080, 6793, 7917, 401, 1318, 2429, 3619, 4563, 6187, 6674, 7786, 304, 1499, 2515, 3788, 4780, 5630, 7049, 7838, 304, 2068, 2944, 4171, 4343, 6203, 6736, 8080, 211, 1534, 2960, 3615, 5159, 5893, 7207, 7485, 571, 1773, 3144, 4171, 5061, 5654, 6830, 7260, 829, 1199, 2866, 3844, 4720, 5443, 7032, 8004, 472, 1364, 2934, 3865, 4495, 5410, 6370, 7585, 810, 1723, 2824, 3924, 4499, 6179, 7131, 8158, 581, 1723, 2869, 3587, 4576, 5776, 6441, 7832, 192, 1761, 2934, 3739, 4908, 5411, 6832, 7578, 137, 1761, 2618, 4160, 4963, 6054, 6606, 7736, 1001, 1889, 2170, 3283, 4331, 5333, 6982, 8190, 204, 1338, 2883, 3378, 4678, 6009, 6252, 7677, 262, 2050, 3091, 3495, 4369, 5379, 6726, 8086, 335, 1478, 3091, 3420, 4376, 5410, 6633, 7868, 731, 1972, 2586, 3507, 4697, 5590, 7085, 8197, 571, 1363, 2860, 3945, 5058, 5475, 6525, 8103, 1097, 2073, 2803, 3909, 4713, 5832, 7047, 8250, 915, 2000, 2960, 3932, 5166, 5968, 6752, 7723, 337, 1175, 2960, 3710, 4822, 6195, 6633, 8260, 132, 1874, 3095, 4114, 4589, 6205, 6588, 7631, 984, 1534, 3065, 4113, 4583, 5850, 7239, 8093, 899, 1620, 2792, 4124, 5183, 5963, 7132, 7715, 778, 1557, 2167, 3648, 4972, 5914, 6897, 7889, 1017, 1346, 2530, 3770, 4714, 6181, 6832, 7402, 441, 1346, 2835, 4155, 4268, 5787, 6892, 7921, 441, 1696, 2626, 3865, 4602, 5400, 6659, 8035, 805, 1960, 3040, 3856, 4662, 5965, 6230, 7492, 402, 1323, 2866, 3519, 4748, 5205, 6547, 7495, 556, 1471, 2725, 3700, 4647, 5624, 6442, 7848, 840, 1695, 3094, 3282, 4304, 5610, 7051, 7799, 136, 1708, 2353, 3273, 4717, 5966, 6349, 8182, 984, 1757, 2780, 3482, 4890, 5571, 6633, 8179, 935, 1992, 2899, 3856, 5073, 5892, 6953, 8237, 935, 1175, 2834, 3188, 5060, 6211, 6584, 7768, 186, 1175, 2984, 4018, 4782, 5241, 7217, 8147, 935, 1175, 2960, 4041, 4287, 6103, 6988, 8066, 935, 1622, 3006, 3891, 4980, 6081, 6752, 7806, 935, 1856, 2164, 4174, 4630, 5834, 7111, 7949, 865, 2127, 2988, 3550, 4539, 5368, 6909, 8227, 824, 2127, 2970, 3550, 4859, 6205, 6774, 8076, 195, 2118, 3141, 3798, 4387, 5520, 6749, 7260, 568, 2088, 2554, 3348, 4387, 5296, 6579, 8195, 757, 1199, 2792, 3518, 4606, 5474, 6847, 8130, 857, 1966, 2936, 3500, 4870, 5462, 6671, 8197, 897, 1378, 3033, 3941, 4641, 5710, 6964, 7711, 997, 1510, 2299, 3460, 4320, 6169, 6535, 8219, 793, 1503, 3047, 3661, 4543, 5857, 6625, 7296, 249, 1503, 2426, 3742, 4766, 5955, 6398, 8162, 492, 1503, 2635, 3729, 4717, 5902, 6442, 7442, 511, 1503, 2390, 3865, 4251, 6143, 6526, 7924, 640, 1503, 2751, 3521, 4410, 6179, 7074, 7697, 360, 1503, 2751, 3940, 4603, 6179, 7210, 8111, 737, 1503, 2260, 3654, 4812, 5442, 6529, 8036, 895, 1183, 2931, 3835, 4689, 6050, 7133, 7761, 875, 1935, 2869, 3907, 4539, 5255, 6422, 8133, 875, 1924, 2869, 3624, 4585, 5814, 6923, 8140, 137, 1393, 2869, 3267, 5031, 5657, 6994, 8194, 249, 1940, 2869, 3261, 4920, 5348, 6573, 8026, 247, 1818, 2869, 3651, 4956, 5323, 6923, 7365, 363, 2058, 3003, 3467, 4692, 5871, 6483, 7910, 1101, 2058, 2958, 3505, 4916, 5291, 6619, 7578, 386, 2085, 2700, 3770, 4443, 5290, 6919, 7638, 1029, 1302, 2565, 3757, 4338, 6118, 6856, 7437, 840, 2081, 2188, 4122, 4738, 6069, 6225, 8142, 1025, 1682, 2429, 3873, 4970, 5641, 6708, 7865, 767, 2072, 2436, 3630, 5143, 5613, 7130, 7918, 731, 1269, 2926, 3756, 5134, 5354, 6743, 8112, 318, 1280, 2810, 3709, 4426, 5413, 6885, 7852, 1033, 1834, 2429, 4152, 4545, 5437, 6921, 7607, 271, 1865, 3064, 3410, 5118, 5953, 7013, 8259, 650, 1591, 2678, 3271, 4690, 6018, 7207, 7676, 1025, 1773, 2436, 3201, 4998, 6222, 7207, 7481, 1025, 1773, 2436, 4067, 4828, 5930, 6515, 8085, 776, 1146, 2946, 3643, 5020, 6129, 6467, 7264, 650, 1791, 2374, 3749, 5053, 5796, 7160, 8266, 887, 1978, 2679, 4047, 4179, 5482, 6588, 8076, 895, 2019, 2525, 3536, 4732, 5648, 6373, 8173, 363, 1199, 3106, 3218, 5110, 5424, 6384, 7881, 462, 1682, 2482, 3870, 4688, 5577, 7194, 7253, 896, 2059, 2497, 4022, 5110, 5504, 6240, 8139, 1004, 1826, 2348, 3161, 4666, 5504, 6948, 7604, 1023, 1283, 3066, 3600, 4181, 5441, 7141, 8035, 807, 1402, 2188, 3235, 4921, 6105, 7094, 7997, 887, 1283, 2366, 3213, 4873, 5276, 6452, 7822, 613, 1692, 2128, 3495, 4538, 5706, 6884, 7717, 613, 1692, 2856, 4096, 4321, 6084, 7238, 7873, 582, 1630, 2172, 3929, 5194, 5968, 6224, 7873, 884, 1948, 2748, 3939, 4214, 5776, 6670, 8150, 807, 1566, 2805, 4147, 4765, 5584, 6790, 8072, 540, 1397, 2564, 4037, 4872, 6167, 6414, 7606, 528, 1411, 2547, 3915, 5114, 5745, 7053, 8240, 266, 1507, 2926, 4015, 5124, 6111, 6265, 7817, 547, 1407, 2638, 3487, 4346, 5893, 6269, 7627, 663, 1858, 2365, 3384, 4969, 5379, 6914, 7976, 216, 1640, 2946, 4152, 5183, 5664, 6668, 8126, 335, 1886, 2515, 4085, 4536, 5461, 7207, 7607, 391, 1244, 2282, 3615, 5159, 5965, 7160, 8262, 948, 1640, 3080, 3901, 4861, 5677, 6772, 7602, 335, 1244, 2340, 4017, 4903, 5515, 6415, 7677, 731, 1640, 2163, 3932, 5145, 5413, 7017, 7816, 767, 1886, 2661, 3652, 4379, 5485, 6872, 8195, 948, 2095, 2794, 4041, 5165, 6165, 6702, 7785, 335, 1886, 2944, 4041, 5098, 5641, 6688, 7421, 391, 1141, 2994, 3977, 4752, 5616, 6774, 7948, 767, 1545, 2515, 4085, 5153, 5212, 6709, 8209, 223, 1141, 2925, 3981, 4780, 5363, 7207, 7876, 731, 1141, 3006, 3937, 4379, 5204, 6810, 7631, 216, 1363, 2432, 4152, 5124, 6103, 7047, 7643, 913, 1596, 2901, 3855, 4588, 5963, 6966, 7447, 576, 1171, 2728, 3786, 4670, 5610, 7143, 7966, 576, 1924, 2920, 3421, 4529, 6007, 6578, 7369, 225, 1176, 2924, 3680, 5144, 5689, 6348, 7477, 228, 2002, 2783, 3879, 5038, 6123, 7162, 7476, 225, 1736, 2959, 4026, 5139, 5378, 6605, 7753, 317, 2002, 2573, 3905, 4513, 5563, 7100, 7485, 183, 1801, 2959, 3746, 5135, 5516, 6622, 8150, 4, 2 ]
[ 1, 33, 75, 35, 5, 51, 16, 54, 64, 48, 30, 44, 55, 5, 66, 73, 5, 43, 45, 53, 5, 31, 16, 5, 76, 20, 63, 53, 16, 64, 66, 5, 51, 20, 63, 54, 35, 5, 17, 75, 5, 31, 16, 5, 76, 45, 54, 66, 35, 5, 43, 11, 63, 67, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5493, 7077, 7485, 201, 1528, 3117, 3367, 4624, 5612, 7077, 8147, 419, 1623, 2941, 3827, 4716, 5767, 6515, 7563, 987, 1108, 2801, 3751, 4946, 5624, 6608, 7889, 769, 1816, 2487, 3751, 4834, 5801, 6963, 7398, 886, 1373, 2487, 4025, 4884, 5594, 6913, 7934, 997, 1202, 2987, 3807, 4597, 5506, 6899, 8140, 793, 1557, 2689, 4025, 4344, 5304, 7140, 7930, 271, 2059, 2313, 3991, 4751, 6059, 6570, 7375, 1005, 1150, 2207, 4154, 4415, 5915, 6478, 7480, 610, 1499, 2793, 3355, 5145, 6014, 6239, 7798, 613, 1499, 2340, 3495, 4487, 5780, 6849, 7866, 788, 2069, 2291, 3233, 4801, 5441, 6438, 7698, 840, 1141, 2991, 3205, 5051, 5766, 6997, 8006, 862, 1812, 2440, 3616, 4694, 5477, 6683, 7812, 1009, 1411, 2185, 3530, 5026, 6170, 6834, 7439, 556, 1758, 2251, 3349, 5036, 6217, 6684, 7510, 1080, 2011, 2810, 3771, 4352, 5538, 6717, 7980, 1024, 2059, 2678, 4126, 5065, 5835, 6524, 7359, 512, 1850, 2482, 4004, 4663, 5444, 6397, 7855, 1097, 1770, 3144, 3390, 4782, 5981, 7084, 7557, 935, 1120, 3144, 3680, 4622, 6025, 7019, 7816, 512, 1175, 2340, 4041, 5075, 6063, 7120, 8107, 484, 1175, 2959, 3206, 4980, 5901, 7098, 7992, 293, 1293, 3068, 3703, 4976, 5957, 7157, 7415, 579, 1198, 3046, 3917, 4458, 5918, 6454, 8253, 948, 1889, 2271, 3570, 4966, 5622, 6713, 8208, 335, 1886, 2953, 3771, 4816, 5809, 6787, 7469, 1006, 1453, 2165, 4153, 4324, 5606, 6840, 7420, 767, 2072, 2803, 3975, 5157, 5500, 7230, 7965, 335, 1120, 2429, 4152, 4681, 6070, 7086, 8236, 767, 1120, 2946, 3530, 4993, 5687, 7023, 7959, 304, 1356, 2629, 4145, 4374, 5204, 6709, 7481, 756, 1998, 2991, 4026, 4592, 5824, 6966, 7557, 240, 1910, 2730, 3162, 4541, 5454, 6860, 7563, 127, 1311, 2947, 3420, 4877, 5844, 7084, 8164, 127, 1400, 2316, 3605, 4630, 6157, 7084, 8066, 518, 2127, 2316, 3550, 4859, 6001, 7239, 8209, 654, 2106, 2473, 4125, 4859, 5493, 7090, 7831, 240, 1304, 2833, 4137, 5179, 6120, 6701, 7477, 240, 1304, 2316, 4113, 4870, 5844, 6677, 7664, 518, 1851, 2833, 3276, 4985, 5378, 6988, 8179, 183, 2052, 2946, 3595, 4398, 5210, 6740, 8126, 955, 1185, 2536, 3324, 4273, 6205, 6286, 8083, 335, 1248, 2710, 3871, 4717, 6147, 7133, 7761, 716, 1164, 2411, 4138, 4541, 5430, 7230, 7973, 271, 1550, 2741, 3456, 4539, 6180, 7114, 7605, 545, 1234, 3080, 3770, 4903, 5224, 6648, 7633, 582, 1865, 2940, 3227, 4337, 5490, 6814, 8061, 986, 1548, 2678, 4130, 4664, 5875, 6574, 7597, 986, 1777, 2515, 3575, 4664, 5863, 6651, 7728, 1047, 1948, 2874, 3394, 4470, 5388, 6224, 8078, 304, 1635, 2383, 3832, 4601, 5548, 6717, 7442, 1081, 2008, 2221, 3782, 5115, 5318, 6929, 8208, 1029, 1550, 2970, 4043, 4804, 5797, 6403, 7317, 582, 1504, 2872, 3394, 4321, 5874, 6850, 8132, 223, 1834, 2710, 3356, 4364, 5379, 6991, 8262, 545, 1227, 2464, 3546, 4343, 5787, 7229, 8253, 150, 1778, 2309, 3796, 4321, 6171, 6234, 7752, 1025, 1897, 2710, 3394, 4834, 6194, 6944, 7868, 150, 1255, 2728, 4145, 4419, 6051, 6614, 7753, 940, 1688, 2946, 3246, 4925, 5573, 6302, 8083, 401, 1721, 3144, 3440, 5088, 5883, 7220, 7570, 401, 1721, 2895, 3492, 4533, 5573, 6725, 8188, 512, 1919, 3135, 3932, 4630, 6128, 6752, 7256, 1097, 2068, 2798, 3987, 5080, 5901, 7084, 8267, 915, 1847, 3110, 4011, 4551, 6182, 7168, 8266, 568, 2098, 2941, 3827, 4859, 5903, 6486, 7992, 225, 1706, 2976, 3922, 4638, 6137, 7218, 8266, 225, 1147, 2554, 3550, 5142, 5586, 6525, 8128, 757, 1695, 2941, 4005, 5142, 5963, 7090, 7753, 959, 1586, 2944, 3826, 5115, 5844, 7162, 8238, 223, 1797, 2803, 3298, 5012, 5968, 6755, 7732, 1101, 1302, 2436, 3955, 4602, 5541, 7150, 7546, 784, 1758, 2309, 3582, 4278, 5433, 6348, 8150, 150, 1689, 2564, 4027, 5142, 6163, 7219, 7254, 1029, 1797, 2163, 3937, 5018, 5815, 6809, 8189, 150, 1682, 2737, 3915, 4663, 5404, 6935, 7383, 1025, 1294, 2639, 3201, 4946, 6032, 6270, 7365, 1029, 2079, 2520, 3937, 4282, 5363, 7069, 7936, 104, 1141, 2559, 3426, 4993, 5616, 6859, 7542, 104, 1510, 2675, 3521, 4212, 5761, 7220, 8131, 113, 1510, 2222, 3859, 4574, 5474, 6938, 8108, 487, 1324, 2487, 3372, 5069, 5482, 7222, 7480, 465, 1831, 2555, 3770, 4364, 6137, 6816, 7492, 1052, 1640, 2309, 3436, 4539, 5684, 6700, 8039, 319, 1561, 2353, 3329, 4935, 5526, 6301, 7666, 1040, 1732, 2751, 3268, 4226, 5231, 6810, 7809, 840, 1692, 2751, 3298, 4709, 5806, 6554, 7999, 840, 1692, 2346, 3187, 4727, 5221, 6911, 7954, 840, 1924, 2987, 3552, 4229, 5982, 6860, 7587, 610, 1754, 2847, 3452, 4606, 6007, 6997, 7664, 887, 1881, 3053, 4145, 4762, 5797, 7084, 8240, 887, 2053, 2750, 3821, 4985, 5485, 7014, 8245, 887, 1306, 2436, 3352, 4780, 5765, 6884, 7341, 887, 2053, 2210, 4027, 4802, 5534, 7033, 7570, 887, 2053, 2210, 3660, 4802, 6146, 7023, 7996, 887, 1227, 2678, 3440, 5153, 5204, 6979, 8195, 1090, 1773, 2944, 3671, 4861, 5968, 6302, 7806, 288, 1467, 2330, 3472, 4870, 5963, 6979, 7720, 484, 1534, 2949, 3932, 5159, 5963, 7239, 7723, 818, 1467, 2164, 4174, 5058, 6129, 6709, 7421, 1099, 2000, 2991, 3516, 4630, 6186, 7084, 8185, 914, 1791, 3008, 3945, 5159, 5883, 7201, 8223, 555, 1791, 2833, 4018, 4822, 5385, 6988, 8179, 859, 2111, 2991, 4006, 4512, 5767, 6988, 7570, 617, 1586, 2944, 4166, 5106, 5534, 6589, 8164, 617, 1289, 2340, 3277, 4555, 6149, 6776, 7723, 105, 2106, 2941, 3374, 4870, 6149, 7221, 7962, 617, 1289, 2340, 3550, 4870, 5385, 7000, 8188, 555, 1490, 2918, 3550, 5157, 5580, 6988, 8126, 859, 2002, 3143, 3374, 5159, 5296, 7129, 8236, 555, 2111, 2858, 4006, 4681, 5987, 6988, 8093, 555, 1876, 2858, 3891, 4387, 5586, 6688, 8164, 555, 2111, 3065, 3374, 4583, 5241, 6752, 7766, 555, 2111, 2858, 3911, 4993, 5385, 7160, 7826, 555, 2111, 2858, 4166, 5166, 5981, 7129, 7723, 555, 2111, 3064, 3893, 5060, 5890, 6988, 7485, 915, 2111, 2806, 3893, 4583, 5767, 6589, 8196, 488, 2111, 3065, 4071, 4624, 5534, 6794, 8223, 142, 1528, 2806, 3825, 4624, 6186, 7124, 8223, 142, 1528, 2806, 3825, 4704, 6186, 7077, 8223, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4798, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4366, 6139, 6794, 8196, 488, 1528, 3065, 4170, 4624, 5635, 6794, 8179, 211, 1668, 3110, 3990, 4366, 5694, 6972, 8237, 459, 1698, 2868, 3922, 4940, 5778, 7219, 7799, 769, 1402, 2291, 3273, 5014, 5610, 6734, 8088, 443, 1926, 2901, 3356, 4499, 5880, 6838, 8165, 608, 1838, 2137, 3333, 4755, 5592, 6726, 7834, 784, 1469, 2260, 3351, 4525, 5955, 6243, 7817, 104, 2019, 2748, 3972, 5085, 5819, 6848, 7555, 1016, 2107, 2519, 3235, 5010, 5794, 7002, 7641, 1025, 1893, 2748, 3468, 4601, 6123, 6430, 7607, 424, 1770, 2858, 3467, 4752, 5694, 6771, 7707, 1090, 1146, 2820, 4166, 4980, 6070, 6966, 7879, 424, 2024, 2947, 4114, 4533, 5515, 7132, 8195, 663, 1945, 3006, 3908, 5165, 6129, 6953, 8064, 831, 1778, 2254, 3681, 4589, 6014, 6809, 8179, 610, 1335, 2231, 3289, 4589, 5858, 6771, 7476, 938, 2050, 2516, 4146, 4415, 5776, 6949, 8085, 344, 2071, 3019, 3684, 4849, 5588, 6572, 7983, 864, 1440, 2129, 3979, 4705, 5411, 6521, 7831, 778, 1156, 2506, 3419, 4274, 5512, 7031, 7604, 536, 1469, 2400, 3259, 4274, 5512, 7005, 8113, 988, 1418, 2605, 4079, 4176, 5454, 6710, 7704, 936, 1193, 2173, 3781, 4938, 6176, 6923, 8143, 880, 1674, 2977, 3717, 4404, 5454, 6267, 8082, 247, 1877, 2311, 3968, 4214, 5636, 7229, 8057, 247, 1667, 2311, 3968, 4941, 5729, 6784, 8220, 993, 1512, 2518, 3652, 5031, 5643, 6947, 7978, 993, 2035, 2518, 3206, 4352, 5783, 7198, 7274, 610, 1212, 2840, 3517, 4925, 6066, 6851, 7383, 1081, 1255, 2508, 3240, 4533, 6174, 6579, 7528, 150, 2035, 2943, 3407, 5085, 6181, 6436, 8209, 150, 1255, 3126, 3929, 5088, 5981, 6723, 8054, 1025, 1858, 3145, 3885, 4530, 6050, 7207, 8054, 1029, 1507, 2709, 3154, 5074, 5460, 7025, 7843, 840, 2059, 2933, 3539, 5116, 6216, 6932, 8049, 271, 1496, 2261, 4150, 4464, 5570, 6224, 7790, 373, 1299, 2642, 3309, 4993, 6028, 7197, 8140, 225, 1494, 2339, 3426, 4555, 6118, 6772, 8168, 225, 2127, 2976, 3788, 4351, 6104, 6962, 7960, 654, 1806, 2860, 3225, 4836, 5565, 7103, 7838, 240, 1488, 3008, 3188, 4398, 5587, 7149, 7664, 789, 1777, 2167, 3855, 4681, 5901, 6338, 8076, 956, 1851, 3007, 4071, 5038, 5661, 6604, 8267, 419, 2068, 3095, 3914, 5166, 5832, 7232, 8179, 818, 1622, 2991, 3226, 4859, 6081, 7201, 8147, 915, 1528, 2803, 4011, 4704, 6186, 7084, 8237, 1094, 2098, 2340, 3779, 4952, 5694, 6955, 7531, 293, 1833, 2175, 3662, 4936, 5260, 6998, 7615, 579, 2127, 2560, 3440, 4877, 5981, 6414, 7567, 390, 1585, 2669, 3987, 4276, 5425, 6750, 8207, 1071, 1236, 2231, 3677, 5062, 5698, 6269, 7279, 1067, 1982, 2786, 4139, 4672, 5884, 6859, 8247, 83, 1708, 3112, 3325, 5124, 5668, 6572, 8037, 344, 1674, 2748, 3288, 4887, 6067, 6693, 7454, 277, 2009, 2506, 3421, 4472, 6121, 6669, 7621, 1001, 1166, 3146, 3979, 4314, 6002, 6679, 7756, 778, 1674, 2873, 3688, 4678, 5369, 6262, 8202, 840, 1469, 2476, 3605, 4321, 6099, 6793, 7480, 150, 1775, 2173, 3659, 4616, 6002, 6436, 8271, 826, 1955, 2882, 4015, 4195, 5424, 6617, 7898, 1057, 1672, 3149, 3281, 5003, 5716, 7232, 8129, 1057, 2053, 3092, 3605, 5050, 5209, 7059, 8069, 424, 1333, 2389, 3426, 4589, 5534, 7232, 7264, 887, 1881, 2860, 3870, 4782, 6103, 6470, 7264, 1081, 1499, 2727, 3918, 4954, 5804, 6938, 7876, 610, 1499, 2915, 4151, 5088, 5908, 6774, 7735, 1057, 1670, 2429, 3233, 4955, 6141, 6791, 7587, 271, 2065, 2677, 3928, 5020, 6201, 7214, 7303, 386, 1759, 3121, 4166, 5088, 5548, 6966, 7583, 504, 1294, 2678, 3819, 5078, 5904, 6979, 7768, 643, 1145, 2424, 3975, 4588, 5890, 6700, 7593, 887, 1386, 2241, 3283, 5095, 6163, 7131, 8137, 150, 1459, 2881, 3767, 4585, 5641, 7160, 7248, 1057, 2056, 2737, 3979, 4801, 6084, 7053, 7428, 610, 1871, 2688, 3793, 5124, 5946, 6658, 7732, 1056, 2125, 2838, 3945, 4533, 6103, 7058, 7957, 211, 2063, 2989, 3649, 4757, 5796, 6752, 7838, 684, 2046, 2925, 4113, 4276, 5802, 7058, 7876, 804, 2063, 2167, 4113, 5061, 5963, 6515, 8237, 1056, 1675, 2880, 4068, 4918, 5534, 7149, 8267, 308, 1523, 3008, 4113, 4470, 6195, 6988, 7782, 923, 1939, 2398, 3789, 4872, 5462, 6350, 8174, 826, 2048, 2137, 4140, 4330, 6217, 6719, 7394, 993, 2048, 2137, 3890, 4687, 6118, 6308, 8248, 993, 1469, 3126, 3838, 4709, 5598, 6580, 8111, 608, 1935, 2985, 3600, 4181, 5966, 7225, 8092, 1025, 1703, 2553, 3420, 4709, 6018, 6918, 8224, 1025, 1146, 2728, 3669, 5182, 5687, 6876, 8080, 288, 2064, 2932, 4164, 5153, 5911, 6566, 7485, 1090, 1534, 2834, 3866, 4215, 6007, 6467, 7908, 1025, 1945, 3112, 3928, 4782, 5499, 6938, 8266, 826, 1269, 2968, 3999, 5106, 5589, 7232, 7288, 443, 1655, 2591, 3991, 5111, 5745, 7126, 7954, 462, 1918, 2503, 3678, 4773, 6130, 7040, 7756, 880, 1942, 2987, 3349, 4946, 6028, 6532, 8100, 487, 1403, 2421, 3277, 5188, 5925, 6984, 7393, 831, 1832, 3080, 3562, 4931, 5898, 6388, 7846, 1090, 1350, 3098, 3410, 4573, 5413, 6884, 7256, 390, 1791, 2989, 4145, 4435, 5942, 7095, 7806, 552, 1675, 3006, 4145, 5104, 5661, 7201, 7570, 489, 1809, 2867, 3822, 4949, 5660, 6830, 7311, 448, 1510, 2232, 3807, 5120, 5527, 6598, 7476, 759, 1171, 2902, 3970, 4364, 5608, 6890, 7475, 895, 1555, 2389, 3956, 4529, 5257, 6745, 7856, 150, 1324, 3026, 3878, 4683, 6032, 6260, 7615, 1029, 1628, 2254, 3809, 4328, 6075, 7050, 7919, 1005, 1402, 3044, 3761, 4418, 6005, 7048, 7371, 887, 1613, 2559, 3821, 4529, 5801, 6879, 7450, 1033, 1600, 2797, 3877, 4440, 5345, 6604, 8188, 833, 1523, 2505, 3413, 4991, 5701, 6630, 7549, 405, 1939, 2493, 3496, 4716, 5641, 7171, 7528, 857, 2063, 3147, 3314, 4509, 5487, 6674, 7865, 373, 1490, 2598, 4036, 4597, 5905, 6708, 8095, 857, 1183, 3075, 4168, 4918, 5296, 6550, 7250, 373, 1786, 2858, 3513, 4449, 5313, 6687, 8061, 1049, 1318, 2814, 3394, 4773, 5771, 7026, 7881, 113, 1404, 2309, 3880, 5053, 5569, 6822, 8256, 113, 1704, 3040, 3748, 4876, 5636, 6568, 8252, 247, 1609, 2231, 3785, 4506, 5880, 6670, 8152, 774, 2050, 2348, 3268, 5156, 6118, 6537, 7702, 895, 1697, 2269, 4137, 5152, 6010, 6846, 8167, 494, 1660, 2316, 4053, 4653, 5938, 6426, 7957, 569, 1757, 2445, 3356, 4248, 6067, 6524, 8149, 404, 1318, 3132, 3498, 4927, 5955, 7158, 8129, 113, 1743, 2655, 3258, 5151, 5915, 6839, 7795, 1057, 1658, 2449, 3936, 4332, 5304, 6525, 7829, 692, 1603, 2260, 3373, 4415, 5369, 7018, 7488, 235, 1499, 2895, 4147, 5071, 5999, 6565, 7516, 770, 2036, 2896, 4150, 4261, 6026, 6502, 7703, 776, 1147, 2975, 3361, 4652, 6137, 6392, 7540, 610, 1609, 2801, 4152, 4457, 5548, 6454, 7768, 304, 1993, 2232, 4146, 4993, 5534, 6869, 8049, 804, 1370, 3095, 3932, 4374, 6205, 7023, 8213, 804, 2041, 2542, 4152, 4713, 5968, 6515, 8179, 256, 1475, 2474, 3240, 5104, 5216, 7232, 8066, 789, 2046, 2554, 3623, 4398, 6182, 6776, 8195, 256, 2030, 3110, 3623, 4737, 5630, 7129, 7494, 256, 2106, 2473, 3233, 5151, 6076, 7095, 8083, 256, 1750, 2729, 4006, 4859, 5219, 7120, 7557, 256, 1851, 2839, 3873, 4859, 5219, 7217, 7715, 518, 2030, 2709, 3487, 4287, 5503, 6529, 8076, 240, 1345, 2959, 4113, 4716, 5890, 6486, 8126, 240, 1345, 2156, 3933, 4888, 6137, 6840, 7547, 475, 1304, 3040, 3761, 4918, 5892, 6313, 7732, 186, 1490, 2659, 4166, 5135, 6137, 7069, 8061, 797, 2017, 2914, 3680, 4704, 5515, 6752, 8237, 860, 2017, 2914, 3893, 4704, 5901, 6996, 7766, 860, 1528, 2806, 3893, 4704, 6139, 7124, 7766, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 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, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 488, 1648, 2833, 4071, 4624, 6139, 6589, 8196, 488, 1648, 2914, 3893, 4798, 5635, 6752, 8223, 488, 1648, 2914, 3891, 4798, 6139, 6752, 8080, 488, 1648, 2914, 3893, 4870, 6186, 6677, 8237, 488, 1648, 2914, 4071, 4870, 5635, 6677, 7485, 4, 2 ]
[ 1, 26, 5, 14, 53, 5, 65, 69, 63, 5, 31, 14, 66, 5, 76, 33, 54, 5, 65, 48, 5, 76, 33, 54, 66, 5, 16, 76, 39, 5, 31, 33, 63, 5, 76, 11, 78, 5, 62, 48, 64, 5, 16, 54, 30, 5, 51, 17, 53, 41, 35, 66, 5, 44, 54, 5, 31, 14, 66, 5, 51, 11, 66, 16, 50, 5, 63, 73, 53, 5, 5, 3, 818, 2073, 3117, 4145, 4762, 5901, 7047, 8260, 373, 1560, 2352, 3692, 4691, 5792, 7112, 7689, 1070, 1865, 2687, 3536, 5124, 5365, 6592, 8033, 584, 1199, 3047, 3835, 4741, 6086, 6340, 7966, 360, 1490, 2706, 3576, 4232, 5468, 6461, 7412, 810, 1669, 2757, 4154, 4999, 6086, 6224, 8062, 966, 1706, 2390, 3741, 5123, 5750, 7147, 7785, 310, 1808, 3003, 4007, 4365, 5656, 6472, 7909, 810, 2008, 2587, 3181, 4851, 5293, 6244, 7536, 810, 1283, 3029, 4130, 4927, 5621, 6248, 7633, 862, 1397, 3013, 3690, 5040, 5955, 6557, 8077, 672, 1695, 2810, 3371, 4664, 6216, 6911, 7875, 723, 1695, 2355, 3421, 4195, 5517, 6816, 8033, 1040, 1412, 2751, 3218, 4218, 5387, 7102, 8009, 462, 2070, 2751, 3764, 4213, 5930, 6807, 8240, 462, 1695, 2988, 3764, 5074, 5512, 6910, 8263, 536, 1918, 2692, 3967, 4525, 6037, 6768, 7633, 536, 1296, 2506, 3380, 5052, 5614, 7130, 8137, 1025, 2104, 2387, 4154, 5032, 5952, 6871, 8025, 826, 1255, 2946, 3691, 4894, 6183, 6614, 7702, 826, 1771, 2250, 3605, 5050, 5475, 7086, 7284, 150, 2048, 2740, 3233, 4417, 5620, 6777, 7582, 1011, 1403, 2536, 4124, 4382, 5765, 6603, 7920, 878, 1586, 2365, 3232, 4198, 5597, 7012, 7422, 568, 1112, 2795, 3430, 4870, 5863, 7024, 7481, 334, 1286, 2251, 3276, 4459, 5548, 7006, 7908, 334, 1286, 2345, 4145, 4918, 5918, 6348, 8188, 334, 1831, 2860, 3994, 4588, 5503, 7114, 8240, 568, 1623, 3018, 3233, 4379, 5350, 6376, 7396, 568, 1706, 2904, 3819, 4918, 5413, 6604, 7571, 568, 1706, 2454, 3470, 4622, 6129, 7218, 7715, 334, 1564, 2181, 3476, 5142, 6175, 6430, 8012, 568, 1979, 2683, 3851, 4762, 5296, 7232, 7393, 568, 2127, 3147, 3470, 4522, 5544, 6331, 7275, 568, 1633, 2946, 3532, 4606, 6160, 6280, 7542, 568, 1623, 3139, 3798, 4459, 5963, 6752, 7838, 568, 1750, 3139, 4096, 4638, 5515, 6856, 8080, 568, 1286, 3017, 3855, 4700, 5550, 6291, 7476, 757, 1357, 2172, 3407, 5078, 5998, 7087, 8118, 1047, 2063, 2783, 4006, 4877, 5942, 7239, 8066, 767, 1234, 2151, 3961, 4334, 6085, 6988, 7262, 504, 1586, 2293, 3232, 4700, 6132, 7230, 7557, 314, 1763, 2357, 3680, 4542, 5441, 6494, 7537, 1029, 1860, 2250, 3602, 5124, 5700, 6813, 7996, 150, 1317, 3031, 3848, 5151, 5618, 7037, 7905, 784, 1897, 2207, 3554, 4643, 5430, 6621, 7821, 150, 1399, 2207, 3998, 4572, 6119, 7007, 7473, 1029, 1777, 2923, 3645, 4783, 5899, 6612, 7917, 150, 1317, 2727, 3394, 5124, 5946, 6622, 7462, 1029, 1858, 3037, 3420, 4643, 5815, 7100, 8006, 150, 1385, 2207, 4137, 4722, 5395, 6507, 7787, 784, 1345, 3085, 3438, 4751, 6063, 6422, 7927, 266, 1582, 2911, 3674, 4753, 6038, 7181, 8247, 150, 1894, 2690, 4102, 4717, 5905, 6736, 7684, 725, 1582, 3085, 3410, 5196, 5333, 7152, 8145, 504, 1655, 2479, 3605, 5023, 5440, 6540, 7462, 693, 1531, 2708, 3751, 4641, 5435, 6603, 7355, 1029, 1302, 2491, 3471, 4205, 5641, 6803, 8183, 1081, 1543, 2515, 3251, 5042, 5699, 6910, 7728, 288, 1499, 2163, 3645, 5097, 5219, 7127, 7587, 288, 2009, 2163, 3448, 5117, 5953, 7087, 7641, 940, 2009, 2938, 3599, 4335, 5425, 7103, 7800, 923, 2009, 2565, 3201, 5000, 6207, 6663, 7466, 1067, 1826, 2312, 3398, 5169, 6187, 6281, 8062, 884, 1507, 2207, 3979, 5042, 5585, 7038, 7386, 884, 1669, 3032, 3922, 4321, 5843, 6680, 8002, 1084, 1832, 2847, 4168, 4773, 6002, 6477, 8193, 308, 1869, 2729, 4114, 4918, 5978, 6393, 7593, 945, 1933, 2949, 4174, 4782, 5901, 6709, 7723, 935, 1874, 3064, 3516, 4822, 5340, 6709, 7876, 935, 1998, 2996, 4171, 4782, 5219, 7239, 8237, 935, 1620, 3095, 3891, 5038, 6014, 6988, 7876, 1097, 1620, 3008, 3201, 4867, 6211, 6752, 7949, 579, 1965, 2803, 4097, 5150, 5548, 7111, 8236, 1102, 1723, 2998, 3929, 4787, 6063, 6256, 7985, 716, 2035, 2492, 4171, 4460, 6011, 6512, 7886, 536, 1208, 2923, 3584, 4671, 5685, 6870, 7705, 536, 1918, 2868, 3259, 5031, 5709, 6903, 7954, 113, 1510, 2642, 3968, 4565, 5563, 7100, 7476, 1057, 1397, 3005, 3911, 4575, 5639, 6613, 8047, 104, 1717, 2429, 3963, 4429, 6152, 6871, 8016, 390, 1350, 2710, 3915, 4913, 5740, 6980, 7811, 105, 2041, 2432, 4115, 5104, 5981, 6850, 7899, 334, 1199, 3028, 3885, 4192, 6149, 7127, 7575, 334, 1199, 2181, 3838, 4918, 5716, 6903, 7799, 225, 1564, 2944, 4026, 5135, 5656, 6607, 7776, 334, 1958, 2988, 3995, 5179, 5930, 6605, 7826, 568, 1958, 2904, 4046, 4916, 5400, 6280, 8165, 568, 1286, 2904, 4168, 4225, 5901, 6338, 8267, 356, 1147, 2709, 4144, 4980, 5678, 6348, 7317, 216, 1561, 2293, 3566, 5012, 5865, 6607, 7664, 716, 1164, 2492, 3458, 5124, 6002, 6668, 8106, 386, 1388, 2817, 3669, 4321, 6066, 6254, 7920, 504, 1732, 2795, 3904, 4374, 6085, 6911, 7773, 271, 1915, 2803, 3918, 4985, 5853, 6592, 7401, 223, 1721, 2163, 3970, 5088, 6096, 7147, 8232, 150, 1407, 2655, 4066, 5012, 5352, 6750, 8080, 610, 2048, 2998, 4171, 4281, 6007, 6938, 8066, 1025, 1867, 2771, 4171, 5096, 6205, 6891, 7677, 1025, 1867, 2839, 3747, 4872, 5678, 6736, 7895, 1029, 2117, 2998, 4130, 4420, 5990, 6711, 7393, 936, 1582, 2520, 3743, 5141, 5844, 6676, 7959, 536, 1725, 2956, 3169, 4469, 5212, 6904, 7542, 363, 1865, 2503, 4014, 4368, 5212, 6352, 7542, 840, 1510, 2536, 3276, 4527, 6135, 6850, 8270, 1057, 1630, 3055, 3828, 4636, 5240, 7181, 7248, 610, 1200, 2369, 4096, 4966, 5344, 7086, 7648, 643, 1717, 2293, 3169, 4586, 6136, 7007, 7677, 1081, 1981, 2709, 3643, 4189, 5259, 7065, 7920, 386, 1672, 3026, 3420, 4918, 5950, 6771, 7393, 864, 1682, 2534, 3193, 4557, 6016, 6470, 8013, 938, 1278, 3090, 3575, 4985, 5825, 6796, 7843, 938, 1582, 2133, 3829, 4816, 6128, 6493, 7690, 970, 1278, 2198, 3410, 5003, 5711, 6797, 7604, 504, 1325, 3119, 4145, 4805, 6164, 6633, 7807, 678, 1548, 2679, 4145, 4592, 6063, 7237, 7677, 211, 2001, 2194, 3920, 4713, 5883, 6265, 7899, 940, 1399, 2984, 3909, 5166, 5832, 6302, 8245, 1025, 1919, 2956, 4098, 4447, 6123, 6979, 8245, 643, 1919, 2275, 3240, 4292, 5796, 6637, 7379, 536, 1318, 2423, 3167, 4546, 6096, 6265, 7379, 536, 1655, 2241, 4014, 4763, 5443, 6345, 8163, 994, 1655, 2128, 3233, 4440, 5624, 6458, 7881, 994, 1721, 2436, 3332, 4346, 5512, 6680, 7702, 994, 1721, 2487, 4007, 4602, 6135, 6638, 7921, 994, 1932, 2487, 3572, 4451, 6135, 7094, 7673, 1038, 1942, 2566, 3975, 4565, 6119, 6737, 7329, 876, 1942, 3029, 3332, 5161, 5629, 7184, 8037, 487, 1609, 2210, 3338, 4876, 6034, 6497, 7838, 807, 1189, 2366, 3218, 4985, 5715, 6669, 8139, 1036, 2079, 2717, 3224, 4763, 6034, 6426, 7531, 862, 1550, 2974, 3812, 4770, 6002, 6569, 7318, 668, 1808, 2520, 4007, 4371, 6119, 6624, 7510, 620, 1942, 2593, 3442, 5161, 5943, 6614, 8169, 487, 1327, 2258, 3573, 5151, 5292, 7229, 7737, 807, 1930, 2692, 3521, 4364, 5956, 6669, 7861, 807, 1118, 3116, 3413, 4876, 5656, 6444, 8005, 1080, 1732, 2346, 3449, 4942, 5640, 6348, 7516, 1040, 1118, 2787, 3741, 4354, 6117, 6609, 7535, 1038, 1808, 2436, 3560, 4678, 5478, 6238, 7304, 952, 1942, 2129, 3300, 5188, 5782, 6578, 7515, 1056, 1581, 2327, 4147, 5169, 5792, 6732, 7367, 804, 1186, 2941, 3352, 5080, 5981, 7152, 7908, 956, 1876, 2947, 4114, 4782, 5678, 7120, 7782, 818, 2041, 3117, 4170, 5080, 6195, 7120, 7949, 935, 1992, 3064, 3440, 4681, 5635, 6515, 7485, 935, 1847, 2989, 4166, 4912, 6205, 6786, 7485, 956, 1992, 2925, 3909, 4624, 5832, 7218, 8147, 935, 1886, 2167, 3931, 5159, 6205, 6972, 7717, 859, 1608, 2989, 3827, 4782, 5678, 6515, 7485, 859, 1695, 2781, 4171, 5106, 5981, 6515, 7876, 555, 1623, 2858, 3827, 4615, 5436, 7218, 7865, 859, 1750, 2833, 4006, 4512, 5436, 6810, 7485, 859, 1684, 3064, 3391, 4387, 5241, 7006, 7723, 555, 1695, 3150, 4068, 4681, 6182, 7077, 7723, 859, 1695, 2860, 4006, 4890, 5901, 6988, 8237, 555, 1695, 3150, 4018, 5038, 5981, 6810, 7716, 859, 1750, 2554, 3827, 4762, 5811, 6988, 7723, 555, 1623, 3021, 3391, 4798, 5550, 7077, 8080, 859, 1750, 2970, 3391, 4870, 5635, 7120, 7831, 555, 1648, 2858, 4068, 5079, 5548, 7077, 8076, 915, 1147, 2858, 4145, 4583, 5515, 6996, 8076, 555, 1468, 2970, 3827, 4624, 5635, 7077, 8196, 915, 1622, 2164, 3914, 4512, 5241, 6752, 7715, 555, 1147, 2970, 3391, 4624, 6163, 6794, 7831, 555, 2017, 2970, 3391, 4681, 5635, 6584, 7715, 915, 1622, 3021, 3825, 4512, 5635, 6996, 8223, 915, 1622, 3021, 3391, 4387, 5635, 7124, 7723, 915, 1684, 3021, 3825, 4624, 5534, 7124, 7723, 818, 1648, 2806, 3893, 4798, 6137, 7124, 7723, 488, 1528, 2833, 3893, 4624, 6139, 6589, 8080, 488, 2017, 3065, 3825, 4624, 5635, 7226, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4798, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4822, 6081, 7124, 7766, 488, 2017, 3065, 3825, 4798, 5635, 6786, 7949, 488, 1467, 2164, 4108, 4798, 5340, 6786, 8196, 488, 1622, 3065, 3990, 4624, 5635, 6794, 7766, 488, 1528, 3065, 3825, 4624, 5883, 6794, 7949, 915, 1304, 3064, 4071, 4555, 5678, 6996, 7715, 915, 1622, 3065, 4108, 4798, 5832, 7207, 7715, 401, 1797, 2957, 4145, 4822, 5241, 6979, 7723, 160, 1284, 3064, 3917, 4867, 6181, 7095, 7717, 160, 1707, 2436, 4026, 4215, 5657, 6623, 7607, 660, 1350, 2487, 4103, 4844, 5526, 6748, 8197, 1019, 1489, 2487, 3483, 4708, 6002, 6298, 7864, 121, 1521, 2487, 3741, 4467, 5787, 6768, 8178, 664, 1808, 2327, 3187, 4985, 5341, 6474, 8211, 137, 1942, 2484, 3358, 4205, 5212, 6424, 7975, 646, 1283, 3066, 3332, 4543, 6140, 7135, 7365, 1008, 1887, 2188, 3366, 4773, 5454, 6308, 7549, 993, 1682, 2207, 3169, 4459, 5558, 6466, 8230, 1029, 1213, 2923, 4086, 4404, 5623, 7015, 7473, 1029, 1448, 2482, 3643, 5169, 5745, 6953, 7689, 1029, 1582, 2968, 3908, 4581, 5870, 6763, 7772, 936, 1871, 2361, 3187, 4371, 5272, 6866, 7815, 936, 1969, 2301, 3751, 4928, 5454, 6308, 8235, 936, 2059, 2658, 3751, 4843, 5728, 6319, 7679, 996, 1296, 2429, 4137, 4604, 6201, 6838, 7675, 143, 1821, 2893, 3704, 4974, 5492, 7094, 8262, 225, 2083, 2562, 3891, 4996, 5749, 6340, 7846, 225, 1707, 2791, 4030, 4872, 5925, 7099, 7441, 225, 2030, 2989, 3798, 4890, 5684, 6905, 8099, 356, 1407, 2858, 3543, 5167, 6175, 7246, 7868, 956, 2068, 3135, 3391, 4374, 5661, 6899, 7732, 956, 1856, 2554, 3886, 5165, 5677, 7168, 8245, 818, 1620, 2989, 4011, 4782, 5677, 6979, 7806, 419, 1620, 2729, 3391, 4630, 6129, 6786, 7806, 1097, 1648, 2925, 3188, 4551, 6195, 6794, 8147, 555, 1648, 2554, 4068, 5160, 6081, 6589, 7677, 475, 1622, 2806, 4026, 5159, 5963, 6786, 7806, 120, 1597, 3075, 3746, 4364, 5610, 6485, 7717, 757, 1573, 2542, 3160, 4437, 5245, 7041, 8054, 495, 1272, 2210, 3230, 4384, 6117, 6486, 7906, 160, 1206, 2717, 3996, 4536, 5865, 6725, 8078, 318, 2102, 2422, 3355, 4413, 6118, 7079, 8025, 769, 1831, 2466, 3355, 4935, 5610, 6657, 7751, 397, 1982, 2593, 3623, 4954, 5424, 6592, 8146, 722, 1954, 2377, 3332, 5072, 5826, 7114, 8012, 545, 1668, 2925, 3426, 4413, 6148, 6905, 7273, 149, 2013, 2794, 3570, 5083, 6116, 7010, 7673, 582, 1281, 3053, 3316, 5088, 5658, 6923, 8061, 767, 1905, 3053, 4006, 4287, 5548, 6889, 7706, 216, 1400, 2941, 3862, 4387, 5560, 6756, 7992, 1059, 1807, 2339, 3939, 4780, 5586, 6607, 7716, 568, 1234, 2542, 3689, 4321, 5413, 6898, 7643, 654, 1388, 2349, 3827, 4427, 5597, 7173, 7985, 654, 1147, 3147, 3798, 4495, 5640, 6898, 7557, 518, 2127, 2316, 4166, 4522, 5296, 6604, 7477, 518, 1525, 2833, 3827, 4776, 5695, 6607, 8248, 518, 1684, 2542, 3623, 4681, 5534, 6738, 7473, 518, 1326, 2608, 4113, 4870, 6120, 7218, 7865, 518, 2052, 2341, 4083, 4776, 5963, 7160, 7303, 617, 1684, 2659, 4113, 5134, 5223, 7132, 7477, 424, 1411, 3040, 4122, 5091, 6175, 6589, 7732, 402, 1972, 2755, 3845, 4678, 5385, 6230, 8047, 556, 1539, 2172, 3220, 4737, 5247, 6351, 7733, 640, 2118, 2353, 4130, 5135, 5482, 6785, 8070, 728, 1289, 2180, 3940, 4906, 5636, 6730, 7911, 692, 1356, 2775, 3847, 4348, 5586, 6750, 7834, 970, 1302, 2151, 3905, 4651, 5598, 7037, 7770, 335, 1356, 2740, 3982, 4861, 5704, 6393, 7706, 767, 2047, 2515, 3736, 4727, 6103, 6776, 7393, 335, 1120, 2313, 3259, 4387, 5471, 7086, 8236, 767, 1562, 2834, 3530, 4191, 5378, 6803, 8126, 401, 1280, 2391, 3497, 4925, 5765, 6736, 7516, 804, 1924, 2960, 3982, 5104, 5968, 7207, 8267, 555, 1869, 2925, 3710, 4888, 6051, 7207, 7570, 914, 1791, 3109, 4174, 5080, 5661, 7207, 8266, 859, 1280, 2944, 3932, 5058, 5219, 6972, 8261, 707, 1601, 2474, 3855, 4606, 5555, 6715, 7950, 91, 1396, 2484, 3359, 4421, 5888, 6936, 7903, 579, 1773, 2167, 3230, 4664, 5438, 7172, 7960, 513, 1386, 2324, 3592, 5162, 5865, 6971, 8154, 955, 2061, 3147, 3975, 4830, 5746, 6772, 7948, 1098, 1356, 2296, 4103, 4751, 5519, 6930, 7835, 538, 1183, 2923, 4044, 4602, 6203, 6929, 7442, 1067, 1205, 2207, 3767, 5128, 5945, 6547, 7525, 386, 2008, 3015, 4097, 4474, 5485, 7043, 8146, 752, 2008, 2901, 3956, 4522, 5404, 6509, 7261, 1025, 1850, 2741, 3448, 4246, 5953, 7048, 7676, 1025, 1850, 3003, 3740, 5084, 5713, 6891, 8009, 610, 1773, 2470, 3747, 5193, 6190, 6677, 8267, 804, 1847, 2369, 3885, 4993, 6146, 6850, 7768, 132, 1623, 2880, 3175, 5095, 6170, 7132, 8159, 1081, 1141, 3022, 4067, 4630, 5216, 7207, 7557, 518, 1426, 2886, 4124, 5025, 5449, 6706, 8112, 518, 1876, 3147, 3896, 4630, 5446, 7069, 8252, 707, 1496, 2826, 4092, 5101, 5844, 6340, 7560, 473, 1233, 3092, 4145, 5125, 5514, 6752, 7828, 767, 1966, 2936, 3516, 4738, 5610, 6708, 7522, 840, 1363, 2737, 3396, 5145, 5255, 7051, 7524, 884, 2009, 2905, 3504, 4800, 5823, 6674, 7966, 936, 2009, 2905, 4073, 4372, 5790, 6954, 7815, 884, 1453, 2268, 4154, 5045, 6015, 6876, 7977, 1049, 1785, 2332, 3818, 4385, 5431, 6592, 7962, 308, 1399, 2629, 3914, 5060, 6103, 7012, 7717, 757, 1320, 3038, 3209, 5166, 6058, 6755, 7951, 1042, 1597, 2554, 3757, 5150, 5637, 6580, 7652, 487, 1794, 2258, 3900, 4881, 5633, 7219, 7962, 535, 1397, 3074, 3292, 5144, 5427, 6614, 7513, 535, 1397, 2750, 3225, 4525, 5320, 6957, 7913, 896, 1397, 2352, 3356, 4417, 5826, 6970, 8197, 462, 1252, 2692, 3224, 4364, 5633, 6510, 8165, 299, 1826, 3091, 3469, 4364, 5322, 6812, 8097, 1090, 1831, 2797, 3233, 5088, 6171, 6480, 7535, 104, 1141, 2678, 3821, 4489, 6152, 6603, 7519, 1025, 1494, 2678, 3231, 4426, 5899, 6812, 7778, 826, 1676, 2429, 3870, 4273, 5573, 7017, 8143, 424, 1531, 2556, 3948, 4588, 5689, 6377, 7957, 1090, 1477, 2282, 3430, 4334, 5835, 6550, 7529, 646, 1596, 2258, 3635, 5182, 5443, 7019, 7952, 681, 1609, 2744, 3245, 4495, 5270, 6847, 7365, 875, 1826, 2355, 3958, 4309, 6142, 7072, 7873, 793, 2118, 2810, 3419, 5111, 6194, 6257, 7905, 441, 1349, 2355, 3741, 4359, 6179, 6307, 8028, 404, 1695, 2646, 3750, 4691, 6002, 7009, 8259, 833, 1807, 2316, 3820, 5150, 5749, 6751, 7547, 914, 1386, 2820, 3761, 4713, 6181, 6565, 7865, 984, 1992, 3109, 3895, 5139, 5705, 6376, 7717, 484, 1684, 2925, 4115, 5129, 6211, 6589, 7865, 153, 1752, 2944, 3710, 5150, 6163, 6343, 7480, 935, 2111, 2834, 4166, 4287, 6014, 7239, 7717, 984, 1648, 2970, 4114, 4870, 5219, 7201, 7717, 165, 1971, 2608, 3359, 4613, 6123, 6321, 7341, 541, 1282, 2791, 3777, 4411, 5624, 6903, 7745, 153, 2002, 2151, 3726, 4595, 5422, 6550, 7515, 579, 1468, 2340, 4026, 4664, 5731, 7246, 7519, 1035, 1183, 2429, 4067, 5077, 5825, 6414, 7816, 1033, 1966, 2757, 3410, 4427, 5650, 7237, 7437, 897, 1738, 2309, 3760, 5122, 5276, 6937, 8140, 492, 1689, 2137, 4067, 4469, 5799, 7166, 8115, 113, 1337, 2482, 4167, 5138, 5202, 7012, 8016, 1080, 1609, 2309, 3694, 5155, 5717, 6265, 7870, 692, 1689, 2748, 4099, 5111, 5450, 6346, 8139, 938, 1865, 2936, 3741, 4692, 6119, 6256, 7614, 211, 1886, 2944, 3732, 4437, 5279, 7238, 8086, 663, 2081, 2429, 4151, 4387, 5550, 6725, 8260, 757, 1369, 2139, 3918, 4641, 6171, 6720, 7957, 620, 2118, 2381, 3961, 5016, 5586, 6350, 7791, 930, 1732, 2313, 3796, 4949, 5978, 6563, 7375, 806, 1918, 2751, 3884, 5111, 6117, 6646, 7248, 487, 1682, 3003, 3502, 5097, 5578, 6255, 7927, 986, 1568, 2316, 3792, 5072, 6145, 6963, 8163, 582, 1577, 3075, 3394, 4992, 5904, 7047, 7545, 308, 1566, 2554, 3732, 4925, 5590, 6414, 8092, 804, 1147, 2994, 4027, 5085, 5684, 6584, 8237, 308, 1992, 2957, 3782, 4398, 6146, 6979, 7998, 195, 1582, 2775, 4089, 4617, 5654, 6757, 8236, 334, 1831, 2941, 3767, 5145, 5298, 6443, 8015, 757, 1570, 3139, 3359, 4795, 5616, 6265, 8078, 153, 1971, 3139, 3671, 4890, 5944, 6751, 7927, 91, 1773, 2469, 3789, 4217, 6010, 6966, 8128, 776, 1407, 3075, 3987, 4764, 6002, 6486, 7652, 211, 1407, 3144, 4151, 4538, 5413, 6612, 7515, 887, 2035, 3092, 3990, 5106, 6147, 6709, 7383, 1025, 1897, 2167, 3156, 4901, 5395, 7069, 8041, 778, 1770, 2793, 3595, 4780, 5796, 6938, 7500, 641, 1146, 2631, 3388, 4231, 6063, 7109, 8225, 1003, 1120, 3038, 3631, 5068, 5898, 7221, 7816, 569, 1146, 2511, 4064, 4288, 5678, 6314, 8184, 104, 1275, 2595, 3868, 4677, 5890, 7050, 8034, 826, 1640, 3020, 3356, 4215, 5633, 7012, 8144, 104, 1674, 2797, 3232, 4571, 6030, 7125, 8034, 391, 1322, 2506, 3218, 5145, 5500, 6935, 8229, 408, 1369, 2506, 3395, 4533, 5558, 6539, 8252, 993, 1858, 2885, 3536, 4281, 6080, 7157, 7677, 545, 1184, 2260, 3314, 5054, 5684, 7098, 8132, 569, 1942, 2676, 3741, 4639, 5693, 6720, 8016, 807, 1146, 2436, 3490, 5041, 5339, 6755, 8263, 986, 1132, 2855, 4139, 4474, 5898, 6874, 8041, 937, 1669, 2243, 3943, 4468, 6096, 6369, 7672, 1024, 1486, 2363, 3181, 4565, 5547, 6617, 8210, 487, 1152, 2470, 4062, 4809, 5222, 6225, 7812, 850, 1858, 2674, 3373, 5110, 5464, 6286, 7467, 778, 2053, 2429, 3901, 4244, 5512, 6918, 7260, 104, 1674, 2436, 3732, 5042, 5907, 7166, 7508, 826, 1858, 2436, 3773, 4210, 5890, 6988, 7800, 778, 1858, 2762, 3573, 4784, 5228, 6898, 8060, 104, 1717, 2661, 3773, 4337, 5828, 6579, 7262, 1025, 1494, 2163, 3756, 4684, 6204, 7162, 7485, 610, 1577, 2688, 3169, 4807, 5580, 7181, 7538, 1056, 1747, 2946, 3932, 5106, 5204, 6988, 8185, 1099, 1623, 3021, 3916, 5080, 5436, 7058, 8185, 1097, 1218, 2960, 3516, 4888, 5883, 6709, 8147, 818, 1791, 2949, 4170, 5058, 5241, 7201, 7949, 818, 2046, 2957, 4108, 4980, 6081, 7239, 7766, 818, 2017, 2164, 4108, 4798, 6129, 7124, 7766, 1097, 2046, 3110, 3825, 4551, 5635, 7201, 8260, 488, 1528, 3110, 3982, 4822, 6139, 7077, 8223, 818, 2017, 3065, 3893, 4782, 6129, 6794, 8196, 488, 1528, 2164, 3893, 4624, 5241, 7124, 7766, 488, 1528, 2914, 3893, 5038, 5241, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 818, 1648, 2806, 3893, 4624, 5635, 7201, 8196, 818, 1648, 2914, 3825, 5038, 6139, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6186, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4512, 6139, 7201, 8223, 488, 1528, 3065, 3893, 4624, 6186, 6794, 8196, 488, 1622, 3065, 3825, 4624, 5241, 7124, 7766, 4, 2 ]
[ 1, 64, 66, 11, 62, 66, 5, 28, 26, 5, 31, 16, 5, 57, 62, 16, 54, 44, 55, 5, 42, 17, 54, 78, 5, 17, 75, 5, 16, 5, 42, 63, 39, 66, 5, 28, 14, 66, 16, 52, 5, 5, 3, 228, 1510, 3084, 3817, 5127, 5581, 6812, 8198, 225, 1286, 3048, 3939, 4486, 5333, 6677, 8079, 518, 1935, 3084, 3623, 5168, 5865, 7024, 8101, 518, 1424, 2542, 4121, 5120, 5530, 6996, 8076, 240, 1750, 2880, 4174, 4412, 5385, 6717, 7397, 789, 1750, 3062, 4174, 5159, 5296, 6313, 8130, 419, 2017, 2806, 3407, 4822, 6149, 6996, 8237, 789, 1648, 3062, 3550, 4398, 5413, 6612, 8236, 568, 1961, 2754, 4124, 4353, 5982, 6776, 7618, 223, 1918, 2960, 3470, 4179, 5978, 7058, 7964, 943, 1496, 2581, 3715, 4637, 5279, 7112, 7921, 360, 1157, 2842, 3295, 4488, 5344, 6375, 8053, 875, 1199, 2822, 4137, 4657, 5414, 7164, 7554, 249, 1168, 2173, 3244, 4707, 5941, 6519, 7663, 966, 1402, 2540, 3486, 4243, 5454, 6700, 7639, 1067, 1325, 2173, 3350, 4726, 6151, 6529, 7273, 386, 1615, 3088, 3255, 5011, 5499, 6731, 8145, 940, 2035, 2917, 3994, 5193, 5711, 6361, 8145, 337, 1146, 2679, 3300, 4859, 5413, 7037, 7421, 337, 1620, 3128, 3932, 4447, 5550, 6361, 7260, 337, 1304, 2991, 4171, 4467, 5968, 7239, 7776, 899, 2000, 2946, 3886, 4716, 5678, 7003, 8222, 617, 1623, 2593, 3732, 4918, 6129, 6996, 7344, 186, 2068, 2729, 4071, 4870, 5968, 6589, 7732, 488, 1528, 3110, 4171, 4888, 6085, 7239, 8147, 757, 1396, 2606, 3692, 4437, 5721, 6248, 7625, 568, 1496, 3105, 3838, 4795, 5749, 6776, 7476, 484, 2065, 2991, 3866, 4622, 5515, 7168, 8093, 818, 1467, 3110, 3825, 5058, 5963, 6996, 8066, 1099, 1804, 2783, 3226, 4822, 5883, 6996, 8083, 684, 1797, 3144, 3885, 5060, 6211, 6988, 8237, 304, 1797, 2957, 3945, 5061, 5832, 6688, 8237, 390, 1881, 3038, 3226, 4782, 5883, 7077, 7723, 750, 1700, 2834, 4093, 5129, 5678, 6936, 7421, 83, 2036, 2491, 3245, 4932, 5684, 7060, 7977, 154, 1318, 2867, 3791, 4337, 5311, 6683, 7284, 723, 1408, 2491, 3399, 4337, 5593, 6965, 8104, 1050, 2009, 3132, 3456, 4794, 6015, 7140, 7605, 179, 2009, 2869, 3809, 4367, 6015, 6592, 8140, 966, 1171, 3055, 3394, 4539, 6090, 6426, 7474, 1017, 1171, 2459, 4123, 4755, 6162, 6783, 7873, 1101, 1302, 2953, 4009, 5031, 5762, 7074, 7640, 936, 1442, 3040, 3743, 4278, 5443, 6923, 7900, 992, 1721, 2156, 3279, 4205, 6125, 6434, 7973, 645, 1932, 2436, 3769, 4670, 6119, 6637, 8041, 955, 1608, 3008, 4114, 4447, 5767, 7100, 7848, 211, 1753, 2559, 3472, 4670, 5369, 6901, 8126, 1057, 2048, 2422, 3669, 4717, 5419, 7002, 7405, 487, 1124, 2271, 4122, 4346, 6191, 6650, 8139, 399, 1126, 2725, 3458, 4724, 5441, 6273, 7539, 737, 1942, 2520, 3796, 4482, 5891, 6678, 7975, 363, 1550, 2751, 3642, 4690, 6119, 6242, 8063, 443, 1732, 2506, 3943, 4806, 6070, 7114, 7889, 884, 2009, 2980, 3967, 5148, 5280, 7063, 7481, 784, 1283, 2728, 3472, 4288, 5719, 6461, 8238, 314, 2059, 2156, 4066, 4440, 5526, 6663, 8095, 884, 1302, 2163, 3394, 4383, 5568, 6856, 8013, 918, 1838, 2900, 3682, 4419, 6145, 7072, 7644, 1067, 1838, 2199, 3960, 4571, 5757, 7200, 7784, 386, 1205, 2392, 3686, 4474, 6107, 6762, 7412, 545, 1294, 2749, 3764, 4264, 5745, 6545, 7618, 643, 1179, 2726, 3770, 5097, 6115, 6628, 8039, 645, 1318, 2586, 3740, 5072, 6032, 7215, 7557, 1097, 1869, 2980, 3710, 5183, 5635, 7239, 7256, 186, 1467, 2895, 4085, 4622, 5832, 7084, 7594, 935, 2000, 3007, 3710, 4798, 5661, 7006, 7723, 984, 2068, 3135, 4171, 5038, 5749, 6515, 7641, 475, 1847, 3064, 4011, 5058, 6182, 7084, 7806, 1091, 1707, 2340, 3430, 4423, 5661, 6908, 7806, 948, 1860, 3026, 4130, 5120, 5233, 6850, 7498, 862, 1807, 2741, 3232, 4226, 5745, 6284, 7816, 1023, 1241, 2515, 3669, 4457, 5429, 6907, 7827, 731, 1826, 2366, 3756, 4210, 5548, 7048, 7806, 304, 1831, 2710, 3788, 4470, 5641, 6786, 8117, 1101, 2008, 2128, 3245, 4881, 5461, 6991, 7650, 737, 1164, 3018, 4007, 4701, 5891, 6570, 8025, 1101, 1692, 3074, 3697, 4609, 5903, 7043, 7288, 807, 1566, 3074, 3618, 4482, 5527, 6978, 7873, 487, 1302, 2346, 3476, 4439, 5438, 6579, 7765, 386, 1550, 2727, 3850, 4297, 5664, 6715, 8129, 504, 1685, 2766, 4003, 4834, 5737, 6430, 7717, 386, 1510, 2678, 3246, 5185, 5600, 6993, 8001, 504, 1782, 2298, 3245, 4954, 6080, 6865, 7891, 1025, 1269, 2520, 3437, 4877, 5557, 6915, 7911, 104, 1858, 2492, 3949, 4278, 5700, 6358, 7702, 1090, 1850, 2946, 3271, 4993, 5950, 6484, 7744, 211, 2063, 2944, 4027, 4691, 5260, 7004, 7570, 1056, 1141, 2820, 3900, 5120, 6146, 7149, 7948, 269, 1935, 3124, 4047, 4333, 5865, 7215, 8137, 1040, 1721, 2188, 3266, 4541, 6034, 6234, 7778, 462, 1557, 2974, 3332, 4350, 5369, 6965, 8240, 1040, 1767, 2727, 3441, 5124, 5264, 7188, 7878, 840, 1604, 2361, 3187, 4337, 6002, 6949, 7904, 896, 1199, 2224, 3623, 4338, 5374, 7219, 7479, 535, 1199, 2866, 3623, 4874, 5934, 6224, 8253, 271, 1735, 2588, 3940, 4646, 5594, 6674, 7250, 895, 1735, 2956, 3623, 4310, 5291, 7234, 7706, 465, 1735, 2519, 3967, 4689, 5504, 6746, 7905, 150, 1735, 2348, 3294, 4364, 5663, 6720, 8149, 1025, 1302, 2933, 3880, 4334, 5863, 7078, 7849, 643, 1850, 3080, 3361, 5193, 6146, 6809, 7838, 401, 1504, 2710, 3740, 4588, 5614, 7112, 7563, 1025, 1557, 2874, 3771, 4998, 5661, 7098, 8016, 223, 1834, 2530, 3182, 4855, 5761, 6830, 8226, 1062, 1948, 2654, 3892, 4855, 5550, 7114, 7811, 725, 1645, 2559, 4120, 5100, 6181, 7219, 8211, 613, 1252, 2536, 3273, 5047, 6015, 6738, 7777, 1014, 1646, 3130, 4096, 4395, 5746, 6564, 7367, 127, 1716, 3130, 3532, 5145, 5730, 6443, 8181, 1014, 1649, 2751, 3918, 5098, 5219, 7024, 7386, 923, 2048, 2293, 3533, 5184, 5388, 7209, 7428, 803, 1393, 2282, 3585, 4620, 6179, 6732, 8113, 458, 1296, 2867, 3948, 4273, 5249, 6578, 7751, 888, 1865, 2209, 3323, 4281, 5372, 6789, 7637, 959, 1754, 2163, 4025, 4256, 5562, 6809, 8064, 401, 1700, 2998, 3982, 5159, 5661, 6493, 7811, 959, 1700, 2582, 3987, 5088, 5797, 7221, 8188, 645, 1898, 3033, 3540, 4225, 5910, 6918, 8025, 901, 1452, 2128, 3496, 4829, 6218, 6603, 7904, 691, 1523, 3092, 3364, 4932, 5506, 7140, 8055, 465, 1402, 2944, 4145, 4882, 5496, 6352, 7525, 1101, 1499, 2486, 3169, 5005, 5995, 7159, 8149, 1025, 1740, 2534, 3356, 4521, 5475, 6622, 7892, 804, 2000, 2274, 3488, 5088, 5904, 6809, 8093, 804, 1682, 3043, 3803, 4780, 5767, 6884, 7753, 804, 2001, 2783, 3908, 5080, 5883, 7132, 7764, 804, 1791, 2806, 4108, 5080, 5661, 7201, 7766, 308, 1850, 2783, 4174, 5088, 6103, 6967, 7555, 308, 1705, 2730, 4011, 4822, 5534, 6988, 8237, 827, 1760, 2368, 3740, 4952, 5627, 6612, 8225, 844, 2001, 2655, 3826, 4437, 5296, 7012, 7707, 1057, 1499, 2927, 3949, 4965, 5797, 6551, 8178, 778, 1333, 2891, 3408, 5194, 6122, 6348, 7582, 840, 1202, 2716, 3396, 4911, 5401, 6550, 7996, 404, 1225, 2905, 4096, 4804, 5965, 6478, 8043, 344, 1510, 2905, 3642, 4352, 5512, 6973, 7603, 536, 1496, 2400, 3476, 4851, 5658, 6789, 7726, 986, 1644, 2589, 3812, 4632, 6002, 6663, 7530, 986, 1754, 2751, 3769, 4218, 5441, 6674, 8006, 150, 2053, 2610, 4084, 4602, 5424, 6224, 7549, 610, 1692, 3129, 3515, 5075, 5884, 6850, 8034, 304, 1708, 2669, 4145, 4529, 5981, 6979, 7941, 684, 1494, 3080, 3231, 4918, 6075, 6967, 8227, 804, 1660, 3064, 4108, 4912, 5883, 7132, 7602, 1097, 2000, 2991, 4174, 4622, 5694, 7132, 8179, 308, 2000, 2991, 4174, 4622, 5635, 7152, 7421, 818, 2000, 2838, 4018, 4630, 5241, 7058, 7723, 818, 1528, 3008, 4071, 4287, 6139, 7006, 7806, 956, 1791, 3117, 4114, 4287, 5883, 7006, 7766, 956, 1998, 3008, 4011, 4798, 5832, 6972, 7806, 512, 1705, 2925, 3188, 4622, 6195, 6709, 8179, 857, 1623, 3038, 4026, 5022, 5981, 6754, 7876, 1067, 1509, 2564, 3779, 4896, 5475, 6793, 7921, 546, 2059, 2963, 3874, 4664, 5973, 6620, 8254, 739, 1967, 2623, 3635, 4602, 5624, 6488, 7496, 1077, 1296, 2956, 3394, 4943, 5941, 6974, 8038, 673, 1808, 3137, 3332, 4485, 6010, 6883, 8200, 536, 1490, 3003, 3510, 4440, 5512, 6409, 7904, 492, 1376, 3055, 3735, 5180, 5742, 7088, 8061, 113, 1934, 2315, 4137, 5031, 6100, 6573, 7722, 976, 1110, 2763, 3635, 4404, 6015, 6670, 8193, 347, 1507, 2293, 3848, 4855, 6141, 6493, 7883, 308, 1620, 3043, 3680, 5009, 6025, 7010, 7260, 1091, 1534, 3006, 3240, 4536, 5565, 7162, 7720, 756, 1623, 3133, 3289, 4512, 5950, 6770, 7584, 231, 1946, 2429, 4153, 4575, 5540, 7006, 7476, 1049, 1879, 2389, 3531, 5167, 5749, 7126, 7867, 113, 1838, 2361, 4167, 4506, 5925, 6572, 7256, 761, 1740, 2712, 3480, 4222, 5925, 6835, 7710, 271, 1740, 2326, 3446, 4805, 6173, 7141, 7559, 582, 1489, 2863, 4015, 4730, 5891, 6811, 8212, 1008, 2053, 2175, 3779, 5154, 5379, 7088, 7905, 113, 2089, 2498, 3214, 4933, 5387, 6881, 8246, 1008, 1753, 3074, 3479, 5161, 5634, 6663, 7420, 620, 2050, 2348, 3446, 4359, 5910, 6242, 7318, 547, 1440, 3112, 3813, 5100, 5894, 6840, 7394, 645, 1867, 2941, 3876, 4806, 5410, 6352, 8085, 684, 2000, 2941, 3932, 5022, 5968, 7085, 8080, 308, 1770, 2925, 4011, 4287, 5534, 6579, 8147, 914, 1463, 3135, 3975, 4870, 5901, 6709, 7876, 1099, 1856, 3095, 3982, 4782, 6014, 7168, 8179, 510, 2024, 2991, 4171, 5166, 5968, 7239, 7723, 552, 1912, 3110, 4085, 5135, 5586, 7127, 7256, 617, 2111, 2925, 4125, 4983, 5630, 6688, 7643, 617, 2111, 3147, 4068, 4955, 5987, 6615, 7563, 617, 1490, 3064, 3777, 4890, 6054, 7095, 7823, 105, 1586, 2740, 3838, 4387, 5515, 6589, 8266, 617, 1496, 2918, 4047, 4611, 5550, 6515, 7715, 105, 2002, 2729, 4068, 5190, 5385, 7232, 7831, 617, 1750, 2775, 3777, 4583, 5296, 6688, 7962, 617, 1750, 2775, 3777, 4344, 5730, 6840, 7706, 552, 2127, 2554, 3891, 4762, 5550, 7152, 7865, 105, 2111, 2554, 4153, 5135, 5767, 7091, 7677, 105, 1586, 2860, 4078, 5060, 6160, 6809, 7723, 555, 2111, 2858, 4068, 4622, 5515, 6251, 7732, 555, 2111, 2858, 3425, 4549, 5963, 6579, 7723, 555, 2002, 2754, 4006, 5190, 5385, 7129, 7485, 105, 1586, 2860, 3376, 4387, 6101, 7207, 7677, 555, 1974, 2554, 3955, 5007, 5241, 7152, 7723, 4, 2 ]
[ 1, 64, 39, 75, 5, 41, 20, 63, 5, 14, 54, 5, 16, 51, 39, 79, 16, 54, 16, 52, 5, 64, 51, 63, 14, 53, 28, 16, 52, 5, 41, 20, 63, 5, 62, 16, 78, 45, 65, 16, 54, 5, 5, 3, 228, 2002, 3084, 3798, 4844, 5527, 6338, 8077, 654, 2061, 2242, 3831, 5079, 5942, 7024, 7838, 654, 1452, 2359, 4057, 4983, 5428, 6889, 7336, 518, 2058, 2724, 4111, 4297, 6035, 6715, 7831, 518, 2118, 2729, 3861, 4334, 5250, 6380, 7781, 256, 1992, 2833, 3586, 4344, 5588, 6757, 7918, 105, 1856, 2565, 4150, 5143, 5880, 7149, 8041, 731, 1286, 3032, 4102, 4374, 5660, 6715, 7260, 318, 1834, 2271, 3413, 5164, 6160, 6609, 7508, 737, 2047, 2137, 3394, 4817, 5539, 6449, 7661, 1036, 1550, 3001, 3395, 5194, 5715, 7076, 8149, 761, 1834, 2649, 3272, 4539, 5642, 6763, 7524, 386, 1834, 2710, 3395, 4858, 5514, 6829, 8058, 784, 1550, 2527, 3616, 4900, 5935, 6383, 7438, 1009, 1289, 2292, 4095, 4365, 5624, 6672, 8075, 970, 1561, 2515, 3543, 4623, 5257, 6619, 7438, 103, 1446, 2710, 3796, 4983, 5561, 6672, 8016, 1011, 1164, 2282, 4126, 4374, 5594, 6603, 8075, 981, 2102, 2693, 3298, 4804, 5991, 6528, 7427, 1024, 1286, 2502, 3582, 5097, 5980, 6979, 7261, 1024, 1286, 3119, 3796, 4983, 5297, 7041, 7495, 951, 1234, 2561, 4145, 4918, 5974, 7162, 7717, 804, 1280, 2946, 4085, 5166, 6147, 7095, 8266, 684, 2024, 2473, 4145, 4583, 6103, 7069, 7992, 899, 2030, 2924, 3376, 4853, 6008, 6713, 8266, 878, 2030, 2975, 3533, 4411, 5512, 7235, 7524, 256, 2030, 2167, 3430, 4611, 5573, 7058, 7732, 967, 1467, 2340, 3364, 4607, 5289, 6589, 8266, 833, 1981, 2740, 3314, 5144, 5497, 6430, 7263, 401, 1318, 3001, 4093, 4294, 5952, 6262, 7703, 216, 1175, 2754, 4062, 4748, 5834, 6755, 7717, 864, 1776, 2944, 3998, 5159, 5834, 6886, 7664, 1024, 1234, 2743, 4062, 4444, 5825, 7147, 7508, 547, 1315, 2743, 3873, 4827, 6165, 7162, 7269, 547, 1520, 2321, 3620, 4954, 6141, 6637, 7498, 840, 1504, 2234, 4022, 4639, 6033, 7005, 8255, 784, 1324, 2905, 3866, 4730, 5731, 6422, 7527, 266, 1736, 2455, 3191, 5073, 6214, 6467, 7904, 150, 1509, 2856, 3616, 4700, 5600, 6715, 7763, 216, 2102, 2629, 3793, 5107, 5573, 7207, 8107, 970, 1688, 2750, 3937, 4429, 5556, 7053, 8028, 1024, 1320, 2429, 3922, 4930, 5982, 7087, 7404, 363, 1888, 2313, 4168, 4458, 6204, 6403, 8060, 1062, 1472, 2678, 3819, 4985, 5553, 6265, 7389, 940, 1118, 2330, 3395, 4604, 5549, 6584, 7311, 488, 1467, 2833, 4085, 5104, 6103, 6979, 7876, 818, 2068, 2730, 3710, 5038, 5832, 6584, 7766, 818, 2000, 2781, 3891, 4980, 5241, 7239, 8179, 1099, 1992, 3008, 3188, 4589, 5219, 7201, 8076, 427, 2068, 2340, 3201, 5060, 5705, 7006, 7485, 221, 1141, 2818, 3563, 4457, 5433, 6595, 8225, 183, 1752, 2875, 3756, 4650, 5532, 6566, 7477, 105, 1876, 2730, 3550, 5106, 5616, 7181, 7255, 304, 1550, 3128, 4114, 5160, 6205, 6830, 8267, 761, 1905, 2490, 3983, 4665, 5792, 6614, 8164, 487, 2048, 2355, 3770, 4604, 5730, 6424, 8184, 884, 2117, 3033, 3476, 4724, 5384, 6925, 7369, 363, 1550, 2401, 3167, 4943, 6140, 6491, 7437, 465, 1692, 2727, 4103, 4321, 5564, 7094, 8263, 1101, 1948, 3091, 3421, 4773, 5724, 6562, 7852, 1029, 2008, 2610, 3770, 4224, 5589, 6621, 8161, 986, 1763, 2843, 3812, 4582, 6118, 6414, 7490, 487, 1771, 2309, 3297, 4604, 6154, 6996, 7574, 487, 1915, 2309, 3297, 4604, 5757, 7118, 7657, 231, 1809, 2492, 4007, 5023, 5719, 6898, 7717, 757, 1238, 2994, 3550, 5083, 5845, 6645, 8262, 757, 1979, 2924, 3436, 4604, 5769, 6478, 8253, 757, 1994, 2175, 4047, 4632, 5810, 6763, 7821, 757, 1873, 2287, 3832, 4918, 5706, 7087, 7501, 951, 1809, 2542, 3933, 4501, 5968, 6769, 8195, 1011, 1771, 3003, 3692, 4985, 6014, 7149, 7816, 1090, 1335, 2729, 3385, 5106, 5677, 7019, 7865, 104, 1682, 2455, 3334, 4287, 5797, 7207, 8058, 104, 1763, 2924, 3794, 4440, 5360, 7207, 8126, 150, 1635, 3003, 3533, 5088, 5219, 7058, 8261, 504, 1855, 2439, 3533, 4310, 5256, 6549, 7677, 643, 1850, 3150, 4168, 4487, 6084, 7158, 7583, 150, 2049, 3112, 3153, 5036, 5220, 6643, 8086, 1025, 1469, 2481, 3921, 4828, 5942, 6298, 7831, 678, 1385, 2636, 3302, 5041, 5387, 6470, 7725, 1029, 1469, 2298, 4043, 4781, 5363, 7152, 7667, 150, 1974, 2890, 3559, 5053, 5305, 6810, 8069, 1025, 1199, 3037, 3931, 5085, 5550, 7047, 7690, 678, 2035, 2881, 3374, 4829, 5641, 6968, 7838, 288, 1523, 2452, 3931, 5129, 5543, 6852, 7616, 940, 1318, 2970, 4006, 4310, 6220, 7012, 8188, 105, 1675, 2941, 4085, 5169, 5534, 6972, 7732, 518, 1596, 3147, 4128, 4329, 5276, 7100, 8150, 225, 2060, 3064, 3838, 5079, 5548, 7090, 8061, 225, 1935, 2340, 3838, 5143, 5624, 7069, 8164, 225, 2065, 2734, 3245, 4681, 5550, 6485, 7715, 225, 2088, 2729, 4125, 4399, 5840, 6899, 8061, 225, 1529, 2792, 3726, 4214, 5579, 6486, 7717, 225, 2002, 2718, 4026, 4890, 5730, 6809, 8164, 568, 1749, 2775, 3391, 5088, 5942, 6856, 7528, 757, 1749, 2946, 3754, 4344, 5641, 6740, 7664, 484, 2097, 2775, 3662, 4890, 5534, 7100, 8076, 142, 1468, 2659, 3550, 5166, 5689, 6752, 8147, 488, 1528, 2554, 3825, 4624, 5811, 6604, 7303, 915, 1468, 2659, 3914, 5160, 5515, 7120, 7303, 555, 2017, 2554, 3487, 5038, 5901, 7239, 7485, 337, 2017, 2340, 4174, 4624, 5901, 7124, 8076, 501, 1638, 2886, 3432, 5100, 5227, 6869, 7878, 355, 1233, 3003, 3836, 4859, 5825, 6987, 7485, 650, 2060, 2484, 4064, 4971, 6039, 6267, 7746, 761, 2083, 2850, 3169, 4575, 5887, 6952, 7693, 737, 1742, 3003, 3181, 4364, 5444, 6940, 7774, 737, 1510, 2816, 3578, 4910, 5461, 6997, 7904, 786, 1496, 2186, 3766, 4826, 5207, 6267, 8016, 536, 2117, 2186, 4133, 4381, 5226, 6551, 8100, 737, 1789, 2769, 3442, 4434, 6102, 6617, 7296, 492, 1789, 2902, 4105, 4955, 5364, 7065, 7496, 492, 1912, 3055, 3962, 4604, 6179, 7174, 7497, 1029, 1503, 2389, 4072, 4187, 5499, 6279, 7927, 1025, 1557, 2330, 3481, 5018, 5422, 6804, 7899, 610, 1670, 2292, 3886, 4617, 5982, 6566, 8132, 1025, 1915, 2974, 3540, 4458, 5511, 6776, 7987, 610, 1915, 2838, 3540, 4570, 5832, 7218, 8054, 833, 1700, 2959, 3649, 4822, 6063, 6752, 8093, 211, 2079, 3008, 3990, 5075, 5702, 7218, 8179, 884, 2035, 2716, 3642, 4727, 5276, 7150, 7981, 802, 1469, 2214, 4062, 5114, 5235, 6383, 7741, 150, 1469, 2920, 3381, 4474, 5824, 6725, 7616, 1029, 1440, 3126, 3557, 4270, 5917, 6614, 8039, 386, 1469, 2956, 3557, 4858, 5929, 7246, 7981, 1081, 1469, 2901, 3737, 4646, 5437, 7019, 7602, 1025, 2056, 2985, 3777, 4950, 6199, 6771, 7916, 1051, 1683, 2795, 3847, 5166, 6008, 6770, 7776, 256, 1945, 2683, 4102, 4557, 5567, 6291, 7605, 256, 2030, 2996, 3904, 4980, 5493, 6627, 7570, 440, 1525, 3147, 4005, 5080, 6022, 6348, 7676, 789, 2030, 2454, 3361, 4611, 6205, 6972, 7862, 105, 1851, 3021, 3795, 4859, 5580, 6900, 7715, 859, 1998, 2560, 3704, 5138, 5589, 6393, 7717, 859, 1847, 2560, 3803, 5138, 5436, 6569, 7720, 731, 1587, 2661, 3681, 5120, 6156, 7024, 7473, 271, 1950, 2321, 3618, 5027, 5789, 6605, 7438, 344, 1914, 2347, 3469, 4506, 5958, 6521, 8168, 1025, 1350, 2320, 4098, 5153, 5991, 6612, 7892, 610, 1873, 2783, 3758, 4489, 5216, 6810, 7955, 804, 1664, 2803, 4114, 5183, 5767, 6787, 7807, 1097, 2000, 2991, 4174, 5153, 5901, 6996, 7557, 1099, 2000, 3006, 3710, 5104, 6182, 7084, 7806, 427, 1856, 2330, 4006, 4551, 5978, 7129, 8237, 579, 2091, 2554, 3603, 4310, 5514, 6903, 7932, 617, 2065, 3006, 3914, 4861, 5475, 7218, 7485, 335, 2073, 2975, 3770, 4829, 5550, 6696, 8240, 685, 1177, 2455, 3704, 4861, 5510, 7023, 8016, 781, 1826, 2455, 3941, 4912, 6124, 6883, 7524, 504, 1596, 3126, 4078, 4381, 5884, 7169, 7561, 317, 2105, 2591, 3245, 4321, 5516, 6694, 7298, 576, 1809, 2751, 3817, 5138, 5704, 6830, 7804, 317, 1978, 2188, 3239, 4834, 5519, 6651, 7793, 1014, 1577, 2188, 4073, 4364, 5732, 7170, 7547, 576, 1171, 2729, 3540, 4321, 5223, 7163, 8117, 995, 1809, 2497, 4007, 4775, 5762, 6453, 8030, 761, 2118, 2534, 3395, 4201, 5303, 6478, 8058, 761, 2118, 2701, 3231, 4982, 5560, 6284, 7741, 487, 2048, 2897, 3533, 4571, 6132, 7133, 7602, 487, 1434, 2701, 3755, 4934, 5500, 7017, 7743, 103, 1275, 2379, 3488, 4364, 6009, 6837, 7741, 757, 1577, 3006, 3213, 4364, 5838, 7091, 7815, 568, 1289, 3026, 3909, 5187, 6117, 6348, 7908, 568, 1958, 2156, 3798, 4379, 6137, 6291, 7716, 421, 1597, 2717, 3550, 5151, 5385, 6486, 7563, 568, 1550, 2500, 3692, 5151, 5647, 7017, 8184, 757, 2127, 3021, 3726, 4638, 5767, 6677, 8164, 757, 2127, 3139, 3955, 5179, 5261, 6612, 7703, 153, 1971, 3021, 3879, 5138, 5386, 6668, 8149, 552, 1876, 3139, 3891, 4225, 5219, 7041, 7494, 216, 1286, 2980, 3374, 4955, 5643, 7246, 7919, 266, 1773, 2349, 3161, 5016, 5433, 6780, 7393, 884, 1809, 3029, 3821, 4440, 5938, 6267, 7668, 1025, 1294, 2717, 3219, 5135, 5752, 6832, 8139, 1025, 1294, 2946, 3917, 4807, 5500, 6915, 8073, 1029, 1336, 2591, 3537, 4807, 5583, 7095, 7602, 1029, 1594, 2436, 3537, 4930, 5797, 6778, 7384, 104, 1167, 2440, 3973, 4883, 5551, 6778, 7972, 299, 1141, 2498, 4007, 4280, 5749, 7207, 7704, 150, 1692, 2646, 4027, 4966, 5512, 7175, 7825, 993, 1562, 2429, 3463, 4321, 5409, 6439, 7480, 643, 1831, 3026, 4078, 4896, 5663, 6224, 7881, 887, 2033, 2946, 3771, 4359, 5363, 6884, 7965, 150, 1700, 2165, 3918, 4343, 5204, 6487, 7274, 684, 1620, 3095, 4145, 4191, 5534, 7058, 7547, 818, 1623, 2783, 4174, 5129, 6211, 6980, 7965, 914, 1998, 3135, 3886, 4912, 6129, 7218, 7421, 935, 1998, 2991, 4068, 5159, 6129, 6774, 7720, 488, 1648, 3007, 4011, 5165, 6103, 6972, 7720, 956, 2000, 3128, 3886, 5061, 5705, 7239, 8237, 555, 2017, 2164, 3886, 5038, 5241, 7239, 7485, 859, 2127, 2560, 3391, 4398, 6163, 7152, 7732, 859, 1695, 2340, 3407, 5060, 6160, 6972, 8185, 555, 1345, 2959, 4068, 4704, 5811, 6991, 7723, 555, 2002, 2554, 4071, 5190, 5767, 6688, 7831, 555, 1345, 3062, 4068, 4877, 5901, 7152, 7715, 555, 2002, 2839, 3803, 4374, 5963, 6584, 7303, 859, 1684, 2554, 4166, 5159, 5550, 7226, 7664, 105, 1289, 2833, 3376, 5138, 5534, 7239, 8164, 555, 1468, 3021, 3374, 4859, 5241, 6988, 8223, 555, 1876, 2833, 4168, 4870, 5811, 7120, 8080, 555, 1468, 2833, 3771, 4859, 5241, 7152, 7723, 555, 2111, 2554, 3827, 4583, 5811, 7207, 8223, 4, 2 ]
[ 1, 16, 5, 64, 53, 20, 52, 5, 51, 63, 57, 5, 76, 11, 78, 5, 51, 52, 45, 55, 44, 55, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 7077, 7485, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 2017, 3117, 3367, 4798, 6139, 7124, 8196, 915, 1648, 3065, 4018, 4798, 6186, 7124, 7766, 1006, 1650, 2530, 3233, 4598, 5792, 6787, 7611, 803, 1496, 2678, 3390, 5107, 6095, 6448, 7987, 868, 1346, 2929, 3306, 4476, 6013, 6485, 8123, 699, 2125, 2750, 4125, 4970, 5840, 7220, 7538, 699, 1736, 2335, 3689, 5193, 5790, 6382, 7303, 654, 2106, 3147, 3891, 5138, 5892, 6544, 7745, 654, 2060, 3139, 3416, 4529, 6117, 7064, 8130, 228, 2060, 3139, 4103, 4344, 5924, 7043, 8093, 518, 1756, 2316, 3790, 4983, 5844, 7152, 7753, 654, 2097, 3026, 3933, 4859, 6205, 7084, 7806, 857, 2024, 2946, 3951, 4852, 6125, 6809, 8191, 914, 1750, 2944, 4114, 4764, 5534, 6889, 8262, 731, 1825, 3061, 3933, 4335, 6001, 7160, 7473, 149, 1498, 2923, 3963, 4807, 5220, 6287, 7917, 1006, 1723, 2923, 3706, 4942, 5694, 6453, 7385, 937, 1547, 2826, 3176, 4658, 5854, 6674, 7948, 391, 1177, 2683, 3639, 4465, 5676, 6923, 8164, 179, 1478, 2577, 3557, 4315, 5664, 6260, 7854, 763, 1829, 2866, 3821, 5040, 5991, 7187, 7966, 192, 1711, 2286, 3507, 4465, 6009, 6669, 7873, 482, 1205, 2508, 3312, 5010, 6140, 6834, 7361, 763, 1880, 2312, 3722, 4668, 6004, 6509, 7438, 192, 1469, 2764, 4137, 4319, 5245, 6835, 8205, 1008, 1316, 2822, 3736, 4962, 5991, 7125, 7904, 1067, 1469, 2141, 3561, 4902, 5746, 7078, 7435, 864, 2026, 2425, 3791, 4546, 5664, 7010, 7502, 547, 2026, 2182, 4051, 4668, 5976, 6822, 7965, 320, 2050, 2481, 4034, 4743, 5305, 7167, 7944, 1024, 2026, 2680, 3729, 4318, 5929, 7045, 7690, 1008, 2026, 2831, 3557, 4729, 5714, 6468, 7891, 277, 1469, 2628, 4126, 4773, 6061, 6351, 7528, 547, 1469, 2633, 3281, 4847, 5686, 6247, 8165, 938, 1469, 2831, 3512, 4304, 5447, 6286, 8157, 1011, 1469, 3083, 3474, 5190, 5207, 6528, 7701, 386, 1440, 2972, 4149, 4389, 5655, 6487, 7366, 1024, 1440, 2972, 3558, 4808, 6113, 6817, 8156, 678, 1880, 2363, 3466, 4729, 5631, 6734, 7941, 1051, 1757, 2677, 4164, 4593, 5797, 6750, 7291, 427, 1120, 2838, 3819, 4533, 5834, 6256, 7919, 935, 2041, 2925, 3226, 5104, 5305, 6786, 8237, 186, 2032, 2803, 4011, 4624, 5883, 6709, 7290, 488, 2068, 2914, 3893, 5080, 5832, 7239, 8179, 186, 2017, 2806, 3866, 4630, 5901, 7084, 7766, 818, 1528, 2914, 3825, 4888, 6139, 7201, 8185, 818, 1622, 2803, 3893, 4630, 5241, 7124, 8179, 818, 1528, 2925, 3188, 4624, 5832, 7132, 8237, 510, 2068, 3110, 4174, 4398, 6014, 7239, 7641, 473, 2001, 2278, 3937, 4225, 5749, 7183, 7641, 827, 1106, 2449, 4124, 5188, 6154, 6718, 7812, 541, 2088, 2683, 3205, 4969, 6137, 6921, 7339, 682, 1604, 3048, 3314, 4859, 5523, 6592, 7375, 579, 1833, 2659, 3515, 4215, 5558, 6258, 7898, 1047, 2063, 3108, 3188, 4857, 6131, 6466, 7703, 1067, 1866, 2153, 4095, 4268, 6153, 6847, 7655, 344, 1222, 2262, 4158, 4738, 6174, 6671, 7532, 277, 1685, 3072, 3354, 4361, 6045, 6941, 7911, 864, 1582, 3080, 3652, 4892, 5927, 7163, 7959, 547, 1582, 2259, 3991, 4655, 6135, 6283, 7612, 864, 1870, 3030, 3752, 4855, 5919, 7128, 7901, 386, 1309, 2282, 3496, 4373, 5950, 6328, 8123, 531, 1167, 2667, 4100, 4417, 5943, 6234, 7955, 504, 1447, 2436, 3727, 4743, 6010, 6663, 7935, 643, 1260, 2944, 4028, 4734, 5653, 7012, 7594, 887, 1542, 2897, 3259, 4729, 6092, 6893, 7369, 150, 1290, 2661, 4061, 5073, 5678, 6411, 7725, 150, 1913, 2937, 3410, 4435, 5858, 7184, 7717, 610, 1306, 2444, 3659, 5091, 5765, 6750, 7791, 778, 1755, 2444, 3984, 4852, 6120, 6295, 7265, 1016, 2053, 2198, 3964, 4426, 5536, 6864, 8060, 887, 1757, 2363, 3627, 4758, 5966, 7219, 7263, 887, 1873, 2782, 4174, 5115, 5439, 7035, 7918, 887, 1873, 2782, 4028, 4757, 5953, 6668, 7557, 104, 1193, 2789, 3330, 4598, 5220, 6967, 7807, 1005, 1516, 3149, 3692, 5003, 5212, 6346, 8177, 536, 1146, 2367, 3892, 4700, 6195, 6490, 8145, 536, 1516, 2790, 4021, 4537, 5921, 6360, 7379, 462, 1141, 2530, 4021, 4308, 5745, 6857, 8233, 920, 1299, 2751, 3182, 4788, 5480, 7049, 8193, 143, 1299, 3067, 3973, 4225, 5261, 6966, 7797, 225, 1524, 2559, 3749, 5090, 5854, 7078, 7574, 699, 1509, 2156, 3396, 4486, 5873, 7220, 7365, 654, 1930, 3026, 3967, 4344, 5837, 7090, 8012, 500, 1736, 3146, 3726, 4266, 5430, 7224, 8136, 186, 2097, 2868, 3939, 4470, 5730, 6579, 8118, 915, 1524, 2287, 3595, 4743, 5413, 7100, 7677, 935, 1648, 2730, 4068, 4611, 5892, 7239, 8267, 419, 2000, 2729, 3891, 4716, 5677, 6579, 7570, 915, 1528, 2914, 3680, 4782, 5438, 6972, 7806, 419, 1528, 2996, 3891, 5080, 6205, 7218, 7806, 485, 1601, 2140, 3478, 4445, 6141, 6429, 7935, 415, 1853, 2886, 3273, 4627, 5276, 7114, 7928, 756, 1490, 2904, 3590, 5074, 6208, 6760, 8094, 955, 1490, 3064, 3536, 5080, 6115, 6626, 8107, 262, 1776, 3080, 3997, 4971, 5819, 7025, 7899, 781, 1763, 2506, 3910, 4647, 6190, 7140, 7651, 266, 1241, 2506, 4073, 4187, 5671, 6397, 7679, 737, 1388, 2314, 4089, 4855, 5233, 7229, 7634, 462, 1732, 2625, 3399, 4205, 5311, 6932, 8038, 896, 1550, 2901, 3309, 4321, 5390, 6650, 7683, 399, 1550, 2701, 3623, 4733, 5202, 6710, 7479, 993, 1550, 2751, 3960, 4205, 6000, 7035, 7821, 993, 1633, 2346, 3398, 4321, 5864, 7140, 8073, 993, 1199, 2783, 3707, 4830, 5844, 6889, 7740, 826, 1858, 3088, 3961, 5000, 5415, 6925, 7776, 778, 1858, 2563, 3543, 4536, 5457, 6376, 7856, 104, 1827, 2429, 3259, 4435, 5532, 7160, 8188, 1025, 1139, 2923, 3756, 4791, 6175, 6991, 7262, 826, 1858, 2563, 3789, 4444, 5843, 7058, 7706, 887, 1757, 2923, 3842, 4829, 5765, 6713, 7616, 545, 1550, 2791, 4067, 5149, 5810, 6315, 7983, 582, 1550, 2346, 3421, 4574, 5703, 6850, 7375, 1040, 1550, 2751, 3843, 4800, 5304, 7099, 7402, 807, 1653, 2232, 4005, 4881, 5321, 6632, 8100, 545, 1168, 2346, 3582, 4404, 5764, 7002, 7263, 487, 1655, 2258, 3623, 4509, 5934, 6983, 7869, 487, 1463, 2476, 3472, 4873, 5573, 6476, 7987, 487, 1670, 2655, 3704, 5169, 6119, 6850, 7702, 1029, 1915, 2661, 3191, 4402, 5344, 6896, 7852, 386, 1685, 2429, 3642, 4564, 5784, 6720, 7857, 504, 1865, 2481, 3949, 4942, 5573, 7023, 8197, 1035, 2095, 2678, 3634, 4792, 5824, 7244, 8202, 386, 1858, 2581, 3254, 4536, 6094, 6646, 7846, 643, 1302, 2429, 3206, 4796, 5616, 6383, 7547, 504, 1773, 2429, 3630, 5159, 5216, 6885, 7584, 1056, 1777, 3053, 4145, 4782, 5376, 6507, 7570, 804, 1721, 3144, 4085, 4630, 5883, 7084, 8147, 915, 1869, 2833, 4151, 5159, 5901, 6515, 7948, 935, 1280, 3007, 4071, 5165, 5630, 6996, 7766, 935, 2024, 3095, 4071, 4624, 6139, 6996, 7766, 818, 1847, 3135, 3866, 4583, 6139, 7132, 8196, 818, 1998, 3110, 3982, 5061, 6186, 6668, 8147, 555, 2017, 3021, 4085, 4387, 6211, 7077, 8261, 555, 1648, 2970, 3914, 4798, 5811, 6752, 7723, 859, 1695, 2340, 3838, 5060, 5550, 7201, 7641, 859, 1695, 2740, 3564, 4583, 5767, 7090, 7291, 859, 1750, 2554, 3911, 4606, 5385, 6772, 8223, 859, 1468, 2880, 4068, 4870, 5241, 7120, 7723, 859, 2127, 2560, 4068, 4398, 5550, 7124, 8076, 859, 1345, 2542, 3761, 5190, 6189, 6612, 8083, 859, 1695, 2860, 3217, 4583, 5844, 6612, 8237, 555, 1876, 2858, 4174, 4267, 5635, 7124, 8261, 105, 1695, 2792, 3873, 4423, 5534, 6589, 7723, 859, 1468, 2970, 4166, 4681, 5963, 6809, 7303, 859, 1468, 2970, 4153, 5159, 5981, 6604, 7753, 4, 2 ]
[ 1, 77, 73, 5, 76, 35, 5, 28, 52, 48, 30, 44, 55, 5, 14, 66, 5, 31, 16, 5, 29, 45, 54, 5, 5, 3, 142, 1648, 2970, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 3893, 4624, 6139, 7077, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3893, 4704, 6186, 7226, 7766, 142, 1528, 2914, 3893, 4624, 6186, 7226, 8223, 818, 1191, 2957, 3893, 4583, 5635, 7077, 7723, 419, 1191, 2957, 3914, 5104, 5241, 6972, 8179, 335, 1668, 2980, 3516, 4954, 6166, 7003, 8061, 893, 1942, 2366, 3430, 4651, 5780, 6625, 8146, 858, 1363, 3075, 4057, 4723, 6152, 6224, 8218, 223, 1566, 2440, 3543, 4717, 6006, 6494, 7873, 761, 1407, 2655, 3732, 4675, 5944, 6239, 8161, 1029, 1318, 2946, 3642, 4509, 5538, 6814, 8066, 887, 1778, 2965, 3316, 5124, 5928, 6991, 7962, 504, 1848, 2946, 3979, 4815, 5437, 6333, 8006, 784, 1179, 2678, 3218, 4857, 5613, 6411, 7367, 314, 1831, 3078, 3340, 5124, 5754, 7203, 8139, 443, 1399, 2137, 3156, 4774, 5990, 6663, 7886, 826, 1239, 2923, 3936, 5022, 5604, 6403, 7864, 1038, 1581, 2743, 3869, 4364, 5863, 7102, 7313, 405, 1534, 2515, 3826, 4423, 5216, 6586, 7774, 288, 1499, 2144, 4098, 4954, 5534, 6688, 8261, 308, 2125, 2980, 3681, 5166, 6123, 7162, 8266, 288, 1467, 3064, 4171, 5058, 5210, 6613, 7806, 804, 1218, 2783, 4174, 5080, 5612, 6688, 8237, 1056, 2125, 2980, 3516, 4379, 5219, 6979, 8236, 308, 1791, 2924, 4171, 5080, 5635, 6688, 8147, 886, 2098, 2610, 3613, 4672, 5534, 7087, 7445, 271, 1141, 2214, 3727, 4945, 5579, 6831, 7291, 569, 1708, 2477, 3395, 4418, 5927, 7013, 7435, 778, 1490, 2652, 3669, 5036, 5610, 6777, 8103, 868, 2053, 2869, 3669, 4321, 6117, 6870, 8083, 868, 2053, 3075, 3882, 4288, 6069, 6876, 7537, 920, 1820, 2139, 3838, 4486, 6040, 6630, 8190, 608, 1164, 2242, 3205, 5148, 5734, 6898, 7968, 1036, 1782, 2543, 3500, 4929, 5558, 6469, 7442, 582, 1545, 2346, 3623, 4839, 6194, 6908, 7317, 545, 1411, 2346, 3623, 4696, 5620, 7157, 7542, 545, 1550, 2934, 3669, 5151, 5524, 7222, 7873, 722, 1550, 2946, 4162, 4298, 5374, 6970, 8177, 653, 1550, 2607, 4015, 4392, 5995, 6677, 7275, 582, 1510, 2794, 3394, 4306, 5611, 6762, 7400, 582, 1411, 3040, 3709, 4715, 5710, 7229, 8064, 103, 1668, 2728, 3394, 4607, 5677, 6972, 7948, 103, 1755, 3040, 3826, 4927, 5555, 7154, 7291, 722, 1886, 3040, 4096, 4298, 5224, 6777, 7876, 653, 1669, 3040, 4096, 5138, 5663, 6466, 8097, 1098, 1550, 2829, 4025, 5124, 5700, 7215, 7502, 722, 1244, 2346, 3540, 5193, 5534, 7023, 8149, 948, 1669, 2346, 3796, 4966, 5600, 7019, 7873, 335, 1205, 2716, 4128, 4527, 5202, 6480, 8169, 767, 1446, 2834, 3981, 4374, 5615, 6265, 7658, 223, 1664, 2794, 3866, 4212, 6115, 6335, 8107, 731, 1778, 2737, 3866, 5153, 5352, 6709, 7764, 223, 1309, 2365, 4087, 4494, 5797, 6719, 7631, 868, 2091, 2720, 3206, 5138, 6016, 6976, 7515, 668, 1231, 2638, 3486, 4404, 5787, 6482, 7408, 668, 1333, 2325, 3468, 4273, 5938, 6889, 7492, 611, 1421, 3040, 3152, 5022, 5578, 6359, 7893, 840, 1424, 3040, 3252, 4248, 6136, 6458, 7309, 262, 1777, 2626, 3895, 5101, 5565, 6287, 8112, 1099, 1534, 2783, 3975, 4980, 5219, 6588, 8260, 935, 1791, 2926, 3886, 4470, 6211, 7006, 7899, 1099, 1175, 2960, 3645, 4782, 6211, 6515, 8076, 984, 1175, 2641, 3886, 5183, 6070, 7023, 8237, 901, 2030, 2775, 3710, 4801, 5706, 7006, 7894, 878, 2111, 2473, 3355, 4387, 5914, 6804, 8182, 304, 1919, 2469, 3470, 4849, 5320, 6958, 8018, 1098, 1996, 2795, 3692, 4186, 6194, 6560, 8069, 356, 1773, 2820, 3909, 5150, 5903, 6614, 7754, 512, 1777, 2915, 3776, 4387, 6205, 6809, 8076, 1097, 2000, 2803, 4114, 5166, 5694, 6996, 8080, 186, 1705, 2932, 4170, 5058, 5210, 7226, 8080, 1020, 1958, 2818, 3550, 4274, 5892, 6613, 7429, 225, 1706, 2432, 3681, 4344, 5641, 7017, 7677, 225, 2034, 2944, 3407, 4696, 5650, 6852, 7677, 334, 1750, 2432, 3681, 4859, 5515, 6365, 7887, 334, 2106, 2717, 3746, 5193, 5579, 7242, 7961, 334, 2106, 3021, 3914, 5159, 5257, 6348, 7770, 568, 1623, 2139, 3391, 4622, 5730, 7063, 7260, 568, 1958, 2398, 3470, 4852, 5830, 6248, 7727, 617, 1623, 2473, 3376, 5083, 5548, 6435, 7476, 424, 1281, 3033, 3994, 4267, 6016, 6540, 7375, 318, 2095, 2139, 3929, 5106, 5875, 6422, 7678, 668, 1550, 2249, 3416, 4321, 5342, 7017, 7510, 1080, 1834, 2161, 3424, 4330, 5706, 6732, 7534, 1023, 1302, 2830, 3172, 4413, 5863, 6574, 7510, 363, 2036, 2327, 3573, 4522, 5408, 6334, 7539, 1040, 2036, 2448, 3717, 4576, 5300, 7224, 7904, 465, 2036, 2503, 4007, 4982, 6003, 7002, 7906, 1062, 1681, 2764, 3820, 4205, 5492, 6948, 8240, 930, 1455, 2156, 3604, 4364, 5341, 6716, 7617, 465, 1832, 3001, 3936, 5193, 5610, 7003, 7360, 641, 1797, 3006, 4096, 5150, 5223, 6592, 7918, 424, 2053, 2552, 3437, 4426, 5276, 7033, 7996, 104, 1773, 2899, 3593, 4966, 5950, 6579, 7846, 1025, 1399, 2891, 3407, 4553, 5474, 7002, 8114, 826, 1255, 2349, 4103, 5153, 5204, 6393, 7918, 826, 1255, 2349, 3691, 4985, 5993, 7038, 7941, 1025, 1238, 2750, 3732, 4310, 6141, 6507, 8210, 1025, 1809, 2232, 3472, 4966, 6025, 6579, 7577, 1025, 1146, 3026, 4041, 5159, 5899, 6809, 7848, 1057, 1496, 3126, 3360, 4569, 5771, 6477, 7908, 818, 2111, 2783, 3516, 4551, 5550, 7157, 8076, 1099, 2000, 2947, 4011, 5080, 6014, 7006, 8147, 1099, 1945, 2803, 3516, 4980, 6103, 6709, 8196, 818, 1804, 2803, 3893, 5038, 5241, 7226, 8147, 1099, 1620, 2806, 3893, 4912, 6051, 7239, 7723, 555, 1620, 3021, 3982, 5038, 5635, 6810, 7485, 859, 1974, 2833, 3886, 5079, 5981, 6752, 7887, 859, 1974, 3064, 3886, 4615, 5844, 6996, 7723, 859, 2002, 2721, 3550, 5079, 5981, 6752, 8147, 105, 2106, 2554, 3761, 4398, 5811, 6604, 7723, 555, 2002, 2970, 3374, 4622, 6205, 6688, 7563, 555, 1345, 3064, 4071, 5083, 6160, 7090, 7732, 555, 1648, 2858, 4068, 4870, 5413, 7120, 8076, 859, 1750, 2970, 3891, 4512, 6182, 7152, 8237, 4, 2 ]
[ 1, 43, 48, 5, 76, 11, 78, 5, 16, 5, 52, 36, 54, 30, 5, 53, 14, 54, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 3065, 3825, 4798, 6139, 6589, 7716, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 488, 1648, 3117, 3893, 4366, 5635, 7124, 8196, 105, 1218, 2880, 4068, 5058, 5413, 7124, 7838, 955, 1550, 2369, 4039, 5160, 5313, 7010, 7965, 1033, 1206, 2710, 3764, 4777, 5829, 6625, 7494, 1004, 1550, 2188, 3979, 4321, 5745, 6241, 8128, 608, 1550, 2188, 3986, 4929, 5200, 6991, 7857, 807, 1682, 2565, 3844, 4539, 5629, 6763, 7513, 895, 2059, 2519, 3669, 4978, 6102, 6308, 8190, 150, 1655, 2708, 3314, 4546, 5604, 6607, 7939, 150, 2035, 2163, 3748, 4376, 5833, 7156, 7732, 247, 1294, 2207, 3191, 4846, 6220, 7194, 7618, 737, 1655, 2929, 3540, 5142, 5212, 6754, 7673, 896, 1509, 2727, 3551, 4541, 5972, 6692, 8055, 884, 1507, 2748, 4159, 4231, 5954, 7035, 8024, 927, 2002, 2610, 3920, 5157, 5830, 6982, 7799, 195, 1171, 3020, 3608, 5157, 5589, 6262, 7473, 901, 1917, 2874, 3231, 5011, 5825, 7060, 7867, 927, 1758, 2444, 4083, 4894, 5590, 7163, 7851, 895, 1519, 3091, 3908, 5193, 6201, 6820, 8202, 249, 1140, 3040, 3245, 4671, 5509, 6464, 7786, 363, 1346, 3014, 3547, 4927, 5970, 6601, 7442, 635, 1199, 3103, 3695, 4201, 5658, 6850, 7873, 349, 1183, 2502, 3547, 5049, 5617, 6469, 7900, 556, 1183, 3103, 3547, 4203, 5257, 6922, 7911, 1080, 1183, 2961, 3599, 4483, 5950, 6583, 8075, 864, 1129, 2868, 4022, 4842, 6154, 6432, 7810, 643, 1183, 2832, 3748, 5115, 5697, 6284, 7855, 271, 1183, 3075, 4066, 4580, 5738, 6615, 7902, 504, 1503, 2250, 3565, 4824, 5286, 6484, 7796, 386, 1503, 2961, 3233, 4882, 5711, 6830, 7593, 271, 1503, 2842, 4036, 4755, 5339, 6809, 7821, 386, 1183, 2678, 4160, 4755, 6104, 6412, 7400, 1101, 1691, 2137, 3233, 4371, 5454, 6581, 7608, 557, 1199, 2671, 3704, 4254, 6006, 6403, 7900, 723, 1628, 2751, 3442, 4612, 5457, 6951, 7534, 997, 1996, 2896, 3741, 4226, 6218, 6783, 7301, 360, 1708, 2346, 3310, 4455, 6015, 6625, 7273, 936, 2059, 2260, 3182, 4824, 6184, 6974, 7819, 536, 2059, 3088, 3403, 4197, 5788, 7140, 8178, 271, 1703, 2250, 3403, 4951, 5981, 7215, 8234, 936, 1149, 2901, 3841, 5151, 5513, 6743, 7420, 1057, 1139, 2460, 3284, 4458, 5579, 6944, 7807, 778, 2036, 2310, 3390, 4576, 5297, 7247, 7538, 1090, 1369, 3026, 3217, 5092, 5715, 6876, 8078, 610, 1455, 2365, 3369, 4925, 5413, 7162, 8267, 104, 2107, 2693, 3271, 5160, 6000, 7133, 7908, 778, 1685, 2871, 3233, 4646, 5615, 6348, 7902, 462, 1633, 2625, 3796, 4755, 5512, 6477, 7905, 880, 1472, 3003, 3820, 4241, 5696, 6382, 7905, 1040, 1397, 2871, 4073, 4364, 5890, 6869, 8081, 672, 1633, 2156, 3875, 4400, 5890, 6224, 7597, 1040, 1832, 2751, 4015, 4457, 5921, 7154, 7717, 1090, 1669, 2156, 3761, 4881, 5965, 6921, 7602, 1099, 1963, 2729, 4145, 5058, 5436, 6613, 7706, 510, 1485, 3053, 3990, 5122, 5221, 7218, 8126, 211, 1826, 3095, 3709, 5143, 6051, 6584, 7831, 571, 1945, 3043, 4174, 5075, 6007, 7162, 7887, 833, 1869, 3061, 3361, 4228, 5210, 7201, 7908, 731, 1330, 2369, 4135, 5144, 5614, 6615, 8070, 831, 1778, 2793, 4096, 4925, 5824, 7158, 7485, 610, 1809, 2440, 3983, 5122, 6063, 6830, 8126, 104, 1141, 2440, 3472, 4684, 5350, 6684, 7908, 826, 1141, 2737, 3949, 4788, 6002, 6980, 7821, 104, 1209, 2256, 3605, 5084, 5711, 6593, 8209, 993, 1455, 2506, 3154, 4437, 6181, 6780, 8239, 313, 1904, 3047, 3356, 4346, 5387, 6842, 8103, 966, 1496, 3094, 4047, 5055, 5526, 6348, 7402, 296, 2118, 2480, 3394, 4874, 5247, 6409, 8169, 873, 1154, 2750, 3394, 4876, 6123, 6409, 8268, 810, 1349, 2346, 4081, 4873, 5843, 6366, 7329, 763, 1154, 2974, 3388, 4302, 5745, 6632, 7740, 482, 1942, 2293, 3900, 4709, 5643, 6345, 7722, 620, 1526, 2196, 3936, 4728, 5716, 7043, 8262, 620, 1375, 2774, 3555, 4850, 5921, 6346, 7519, 575, 1649, 2487, 3214, 4742, 5584, 7140, 7824, 1041, 1349, 2346, 3456, 4364, 5268, 6717, 7355, 827, 1653, 2165, 3824, 4847, 5763, 6930, 7635, 482, 1706, 2299, 3824, 4682, 5341, 6528, 7488, 620, 1349, 3010, 3481, 5031, 5337, 6359, 7568, 641, 1140, 3032, 3463, 4233, 5934, 6286, 7531, 424, 1490, 2591, 4037, 4918, 5664, 6966, 7712, 955, 1428, 2312, 3917, 4374, 5478, 7247, 7877, 104, 1935, 3080, 3516, 4318, 6192, 6734, 7776, 887, 1402, 2429, 3233, 4615, 5378, 7010, 8085, 1081, 1363, 3053, 3246, 4383, 5694, 6515, 7598, 678, 1682, 2636, 4082, 4359, 6070, 6781, 7602, 970, 1773, 3085, 3917, 4531, 6007, 6579, 7799, 731, 1280, 2926, 3793, 4859, 5930, 6270, 8209, 304, 1777, 3128, 4011, 5038, 5901, 7201, 8126, 818, 1998, 2924, 3226, 5129, 6051, 6972, 8179, 186, 2017, 2991, 3367, 5129, 5661, 6709, 7764, 488, 1998, 2781, 3982, 4782, 5630, 6972, 7723, 935, 2017, 2340, 3645, 4912, 6129, 7111, 8076, 488, 1528, 2991, 3893, 4704, 5219, 7201, 8147, 818, 1648, 2164, 3893, 4798, 6129, 6752, 8196, 555, 1648, 2833, 3391, 4387, 5901, 7201, 8261, 859, 1468, 3064, 4006, 4890, 5767, 7077, 8126, 859, 1468, 2775, 3376, 4780, 5811, 6338, 7717, 859, 2002, 2970, 4125, 5007, 5901, 7077, 7476, 859, 1695, 2659, 4174, 5190, 5892, 6605, 7723, 859, 2111, 2880, 4068, 4622, 5811, 6794, 7563, 859, 1345, 2542, 3277, 4611, 5963, 6291, 7723, 4, 2 ]
[ 1, 45, 66, 5, 45, 78, 5, 16, 5, 42, 63, 48, 54, 5, 64, 62, 11, 66, 5, 44, 54, 5, 53, 33, 53, 35, 47, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1844, 2949, 3367, 4624, 5612, 6794, 8223, 488, 1406, 2164, 4170, 4822, 6081, 7226, 7766, 789, 1648, 3135, 3914, 4398, 5241, 6786, 8262, 440, 1637, 2792, 3648, 4459, 6000, 6938, 8262, 204, 1570, 2346, 3644, 4412, 6025, 7220, 8108, 769, 1164, 2692, 3535, 5142, 6056, 7043, 7873, 266, 1112, 2180, 4137, 4417, 5463, 6728, 8158, 955, 1411, 2332, 3162, 4716, 5734, 6540, 7591, 1088, 2095, 2332, 3980, 5036, 6003, 6504, 7473, 987, 1992, 2656, 4106, 4724, 5400, 7012, 7816, 545, 1233, 2332, 3669, 4712, 5840, 6870, 7557, 613, 1832, 3053, 3183, 4578, 5304, 6497, 7655, 987, 1400, 3125, 3917, 4379, 6109, 6241, 7987, 545, 1871, 3125, 3980, 4789, 6117, 6566, 7752, 1059, 1776, 2646, 3393, 5042, 6065, 7220, 8205, 576, 1521, 2377, 3533, 4793, 5665, 6449, 8031, 576, 1794, 2468, 3732, 4613, 6028, 6592, 7867, 576, 1688, 2181, 3749, 5122, 6181, 6578, 7826, 518, 1370, 3046, 4068, 5193, 6001, 6383, 7252, 518, 1265, 2754, 3550, 4829, 5767, 6918, 7794, 127, 1773, 2560, 4071, 4344, 6211, 7229, 7303, 1059, 1305, 2473, 4064, 4181, 5795, 6579, 7908, 948, 1453, 3080, 3967, 5007, 5659, 6900, 7761, 1019, 2085, 2156, 3770, 4829, 5584, 6985, 7779, 1080, 1755, 2725, 3298, 4677, 5492, 7000, 7442, 767, 2091, 2725, 3922, 4609, 6194, 6881, 7655, 804, 2073, 2167, 3178, 4225, 6175, 6889, 7764, 804, 1972, 2771, 3929, 5106, 5534, 6709, 7397, 804, 1871, 2833, 4150, 4592, 5968, 7090, 8083, 914, 1945, 2925, 3990, 5104, 6085, 7077, 7421, 488, 1945, 3065, 3982, 4980, 6129, 7226, 8147, 818, 1705, 2838, 4071, 4589, 6085, 7168, 8147, 1097, 2017, 3006, 3825, 4888, 5635, 6979, 7806, 186, 1992, 3007, 3825, 4912, 6139, 7077, 8147, 110, 1309, 3132, 3429, 4762, 5944, 7153, 8195, 110, 1737, 2633, 3169, 4792, 5548, 7114, 8177, 401, 1933, 2971, 3617, 4792, 5863, 7119, 8173, 223, 1340, 2221, 4064, 4651, 5594, 7214, 7469, 716, 1363, 2698, 3648, 5083, 6149, 6885, 7888, 262, 1363, 3143, 3929, 4877, 5982, 6975, 8218, 767, 1545, 2975, 4160, 5052, 5424, 6838, 7804, 223, 1886, 2242, 3975, 5166, 6028, 6938, 7255, 149, 1510, 2675, 3525, 4653, 5840, 7010, 8164, 722, 1118, 3053, 3751, 4399, 5658, 6458, 7811, 986, 1400, 3080, 3995, 5001, 6101, 6372, 8088, 545, 1340, 2148, 3292, 4193, 5824, 6474, 7908, 582, 1331, 2646, 3576, 4576, 5802, 6908, 8183, 613, 1928, 2225, 3963, 4258, 6041, 6905, 7957, 448, 1633, 3020, 3552, 4916, 5344, 7133, 7375, 582, 2024, 2278, 4064, 4421, 6200, 6757, 7804, 986, 1565, 3080, 3646, 4277, 5980, 6325, 7650, 1024, 1315, 2225, 3475, 4948, 5652, 6521, 7477, 722, 1912, 2579, 3540, 4556, 5368, 7014, 8178, 545, 1415, 2148, 3880, 4565, 5824, 6757, 8044, 731, 1669, 3046, 3848, 4862, 5700, 7237, 7658, 767, 1521, 2349, 3787, 4897, 5689, 6482, 7913, 223, 1916, 2520, 3771, 4831, 5767, 6239, 7902, 731, 1156, 2629, 3995, 5145, 6025, 6850, 7764, 216, 1993, 2710, 3873, 4181, 6017, 6393, 7524, 731, 1669, 3109, 3917, 4861, 5794, 6566, 7865, 216, 1385, 3053, 4153, 4573, 6014, 6677, 7607, 731, 2095, 3088, 3771, 4870, 5968, 6752, 8080, 948, 1779, 2988, 3789, 4343, 5210, 6918, 7720, 613, 1803, 3042, 3238, 4395, 5865, 7183, 7893, 654, 2125, 2554, 3967, 4650, 5485, 6671, 7538, 654, 1885, 2413, 4073, 5183, 5202, 7147, 8261, 654, 1375, 3105, 3498, 4519, 5218, 6849, 7435, 195, 1570, 2992, 4168, 5159, 5943, 6296, 7422, 654, 1108, 2542, 4006, 4459, 6115, 7232, 7831, 195, 1326, 2880, 4166, 4555, 5456, 7043, 8240, 874, 1645, 3147, 3555, 4601, 5580, 7157, 7706, 356, 1752, 2150, 4168, 5020, 6146, 6720, 7668, 213, 1750, 2941, 3803, 4704, 5963, 7006, 8179, 419, 1750, 2941, 3595, 5166, 5340, 7168, 8179, 419, 1750, 3007, 3367, 4555, 5550, 6612, 7563, 915, 1961, 2164, 3367, 4704, 6186, 6671, 7485, 915, 1961, 2806, 3367, 4704, 5241, 6794, 8196, 915, 1961, 2914, 3914, 4798, 5612, 7084, 8223, 915, 1508, 2957, 4071, 4704, 5677, 6709, 8223, 1065, 1895, 2470, 3348, 4869, 5671, 7126, 7826, 716, 1582, 2769, 3170, 5095, 5348, 7059, 8181, 858, 1702, 2286, 3489, 4671, 5312, 6328, 7868, 908, 1362, 2286, 3463, 5036, 5351, 6284, 7462, 781, 1503, 2628, 3299, 4338, 5794, 6678, 7628, 761, 1713, 2721, 3531, 4389, 6119, 7081, 7738, 113, 1974, 2476, 3478, 4271, 5348, 6354, 7772, 803, 1581, 2721, 3458, 4677, 6223, 7233, 7722, 759, 1770, 2721, 3162, 4591, 5983, 7123, 8225, 844, 1865, 3150, 3998, 4825, 5627, 6642, 7349, 776, 2020, 2455, 3206, 4203, 6094, 6264, 8082, 715, 1330, 2701, 3771, 5106, 6064, 6470, 7288, 756, 2098, 2795, 3593, 4822, 5911, 6331, 7796, 516, 1311, 2897, 3562, 4929, 5551, 6726, 7920, 955, 1519, 2470, 3973, 4181, 5836, 6790, 7563, 650, 1335, 2454, 3665, 4993, 5270, 7241, 8203, 908, 1550, 2355, 4094, 4321, 5880, 7187, 7435, 839, 1561, 2869, 3398, 4321, 5415, 7043, 8189, 881, 1287, 2129, 4037, 4576, 5666, 6829, 7504, 778, 1692, 2453, 4095, 5192, 5827, 6927, 7781, 807, 1689, 2520, 3973, 4734, 5934, 7127, 7366, 1025, 1809, 2414, 3855, 4877, 5602, 7129, 7558, 752, 1360, 3064, 3469, 4912, 5493, 7168, 8266, 104, 1255, 2678, 3963, 4276, 5631, 7019, 8099, 937, 1797, 3088, 3909, 4536, 5413, 6359, 7744, 806, 1932, 2581, 3910, 4693, 5678, 7129, 7279, 614, 2079, 2391, 3692, 4536, 5749, 7222, 7313, 1035, 1881, 3109, 3917, 5144, 5393, 7063, 8031, 752, 2053, 2391, 4030, 4525, 6092, 6870, 7336, 104, 1255, 2989, 4005, 4861, 5749, 6612, 7602, 850, 1141, 2144, 3206, 4592, 6179, 6830, 8252, 610, 1350, 2440, 3706, 4184, 6163, 6774, 8188, 610, 1692, 2440, 3427, 4326, 5894, 6982, 7965, 150, 1797, 2440, 3488, 4830, 5478, 7148, 8240, 299, 1797, 2491, 3543, 4635, 6160, 6433, 8152, 462, 1826, 2724, 3395, 4268, 5955, 6540, 8034, 326, 1636, 2937, 4015, 5110, 6116, 7233, 7419, 681, 1550, 2271, 3769, 4205, 5486, 6257, 7811, 535, 1266, 2725, 3615, 4915, 6145, 6313, 7838, 247, 1476, 2974, 3171, 4539, 5735, 6710, 8140, 536, 2118, 2346, 4088, 5118, 5645, 6557, 7898, 850, 1797, 2207, 3954, 4444, 5696, 6492, 7762, 778, 1797, 2885, 3885, 4807, 5350, 7025, 8112, 887, 1944, 2809, 3963, 4546, 5843, 7030, 8069, 1025, 2084, 2207, 3870, 4690, 5886, 6283, 7732, 408, 2059, 2990, 3363, 5085, 5764, 6684, 7885, 937, 1935, 2309, 3342, 4688, 5289, 6892, 8114, 831, 1468, 2661, 3776, 4709, 6187, 6847, 7476, 1035, 1734, 2470, 4137, 4470, 5681, 6506, 7831, 880, 1140, 2791, 3963, 4570, 5781, 6348, 7702, 778, 1660, 3044, 3754, 4546, 5880, 6999, 8242, 1005, 2052, 3149, 3391, 4709, 5807, 6437, 7627, 1035, 1581, 2210, 3556, 4811, 5734, 7227, 7746, 1005, 1454, 2346, 3277, 4801, 6199, 6929, 7750, 373, 1663, 2151, 3848, 5096, 5811, 6431, 7494, 970, 1332, 2450, 3770, 5088, 5894, 7100, 7936, 970, 1386, 2639, 3555, 4829, 6109, 6783, 7583, 373, 1673, 2878, 3298, 4176, 5620, 6829, 7988, 645, 1139, 2878, 3811, 4573, 5555, 6463, 8078, 91, 1164, 2762, 3430, 4825, 5656, 6456, 7872, 725, 1373, 2941, 3941, 4724, 5714, 6680, 7259, 585, 1777, 2432, 3511, 5072, 6117, 6284, 7809, 495, 1557, 2594, 3488, 4297, 5872, 6980, 7430, 620, 1349, 2751, 3771, 4767, 5586, 6591, 8038, 397, 1527, 2720, 3812, 4459, 6168, 6569, 7960, 668, 1112, 3116, 4101, 4678, 5695, 6763, 7469, 995, 1842, 2355, 3421, 4444, 5837, 7071, 7696, 995, 1289, 2180, 3210, 4541, 5298, 7125, 7900, 995, 1118, 2355, 4072, 4371, 5524, 6371, 7693, 545, 1689, 2601, 3676, 5031, 5749, 6680, 7505, 115, 1120, 2346, 3350, 4949, 5584, 6754, 8015, 646, 1289, 2543, 4037, 5142, 5547, 7038, 7524, 825, 1289, 2346, 3933, 4455, 5396, 7125, 7816, 390, 1205, 2593, 3857, 5014, 5433, 6348, 7584, 308, 2034, 2760, 3366, 4782, 5837, 6762, 7750, 956, 1186, 3095, 3405, 5053, 6123, 7239, 7717, 818, 1191, 3095, 3914, 5106, 5705, 7120, 8147, 213, 1175, 3021, 4114, 5061, 6103, 6996, 7485, 213, 1844, 3007, 3990, 4681, 6139, 7084, 8196, 142, 2017, 2914, 3825, 4704, 6139, 7077, 8147, 142, 2017, 2914, 3825, 4704, 6139, 6794, 8147, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 915, 1750, 3133, 4071, 4555, 5635, 6996, 7715, 419, 1648, 2316, 3753, 4555, 5514, 7006, 7537, 419, 1750, 2316, 4015, 4549, 6139, 6291, 8196, 419, 1750, 2316, 3753, 4916, 5241, 6717, 7949, 915, 1961, 2316, 3723, 4304, 5678, 6338, 8080, 4, 2 ]
[ 1, 62, 63, 47, 51, 36, 64, 35, 78, 5, 17, 75, 5, 16, 5, 76, 26, 54, 30, 5, 5, 3, 945, 1528, 2806, 4068, 4888, 6211, 7124, 8147, 142, 1622, 2806, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4624, 6186, 6794, 8147, 541, 1752, 2975, 4065, 4877, 5325, 6792, 7363, 579, 1141, 3139, 3987, 4344, 6078, 6504, 7297, 216, 2106, 2559, 3929, 4890, 6123, 6826, 8124, 204, 1736, 2352, 3956, 5166, 5886, 7021, 7891, 1098, 1323, 2514, 3944, 4378, 5437, 6978, 7549, 1006, 1640, 2378, 4043, 4664, 5407, 7247, 7588, 722, 1732, 2994, 3770, 4829, 6135, 7143, 7799, 487, 2056, 2717, 3570, 4906, 5935, 7202, 8158, 722, 1550, 2429, 3570, 4780, 5903, 7114, 7678, 986, 1827, 2867, 3394, 4635, 6119, 7143, 7537, 304, 1269, 2960, 4162, 4776, 5548, 6876, 7318, 512, 1869, 2659, 4145, 4822, 5892, 6988, 8185, 512, 1876, 3043, 3376, 4555, 6146, 7099, 7881, 1097, 2063, 2946, 4174, 5104, 5892, 6979, 8076, 935, 1705, 2164, 4174, 4287, 6182, 7207, 7485, 475, 1147, 2941, 3891, 5159, 6175, 7207, 7876, 878, 1108, 2147, 3375, 4330, 6149, 6677, 7293, 707, 1597, 2609, 3826, 4566, 5436, 6347, 7510, 153, 2111, 2709, 3608, 4763, 5581, 6734, 7716, 579, 2002, 3004, 4153, 4862, 5695, 7010, 7664, 579, 2065, 3109, 3298, 5020, 5386, 6663, 8164, 171, 1510, 2366, 3962, 4844, 6149, 6787, 7502, 160, 1171, 2998, 4025, 4329, 5671, 6566, 7385, 318, 1688, 2987, 3643, 4705, 6128, 6642, 8061, 840, 1510, 2602, 3459, 4609, 6167, 7082, 7620, 386, 2085, 2378, 3899, 5162, 6062, 7222, 7837, 725, 1278, 2378, 3560, 4254, 5745, 6605, 8000, 692, 1333, 2378, 3717, 4636, 5866, 6962, 7261, 249, 1758, 2726, 3605, 4550, 6118, 6870, 8044, 725, 1510, 2726, 4083, 4848, 6140, 7066, 7852, 942, 1510, 2933, 3687, 4321, 5918, 6884, 8215, 1057, 1206, 2429, 3437, 4280, 5934, 7197, 7441, 317, 1553, 2688, 3424, 4795, 5811, 6603, 7790, 225, 2059, 2801, 4085, 5007, 5378, 6474, 7303, 225, 1424, 3147, 4103, 4513, 5548, 7100, 7383, 225, 1789, 3128, 3662, 4736, 5678, 7019, 7677, 568, 1880, 2692, 4073, 5079, 5436, 7048, 7627, 518, 2111, 2858, 3891, 4611, 5515, 7230, 7592, 225, 1286, 2959, 3376, 4398, 5719, 6291, 7777, 757, 1122, 2156, 3914, 4398, 5650, 6671, 7677, 859, 2002, 2946, 3803, 4423, 5202, 6752, 7559, 304, 2111, 2771, 3413, 4350, 5802, 6840, 7602, 752, 2001, 2543, 3537, 5145, 5693, 6691, 7800, 936, 1510, 2547, 3639, 4545, 5823, 6334, 7917, 536, 1239, 2744, 3167, 4636, 5589, 7030, 7894, 299, 1758, 2390, 3169, 5029, 5965, 6973, 7831, 840, 1758, 2389, 3822, 4669, 6158, 6346, 8205, 840, 1692, 2235, 3375, 4287, 5776, 6849, 7842, 840, 1692, 2564, 4153, 4810, 5686, 6573, 8069, 535, 1555, 2740, 3979, 4736, 5814, 6334, 8201, 993, 1820, 2378, 3407, 5065, 5379, 6579, 7967, 271, 1510, 2564, 3755, 4969, 5934, 6224, 7375, 271, 1510, 2642, 4126, 5031, 5653, 6670, 7756, 895, 1510, 2444, 3943, 4959, 5509, 6426, 7794, 271, 1635, 2156, 3943, 4485, 5425, 6370, 7908, 1090, 1494, 2346, 3430, 5096, 5438, 6677, 7811, 317, 1489, 2289, 3445, 4818, 5828, 7140, 7757, 225, 1880, 2953, 3749, 4925, 6074, 6851, 8117, 518, 1468, 2953, 4088, 4541, 5276, 6380, 8132, 518, 1749, 2461, 3671, 5159, 5223, 7103, 8044, 127, 1467, 3144, 3951, 4859, 6179, 7111, 8132, 440, 1116, 3052, 3918, 4859, 5792, 6639, 7689, 750, 1523, 3139, 4145, 4535, 5963, 7181, 7421, 893, 1507, 2480, 4007, 4228, 5500, 6267, 8232, 492, 1934, 2312, 3413, 4804, 5982, 6325, 7739, 247, 1168, 2486, 3417, 4699, 6172, 6523, 8270, 976, 1589, 2869, 3372, 4364, 5943, 7064, 8039, 271, 1199, 3038, 3634, 4518, 5905, 6856, 8073, 424, 2125, 2866, 4171, 4831, 5650, 7199, 8267, 756, 1237, 2838, 4166, 4321, 5405, 6829, 7997, 715, 1939, 3007, 3603, 4589, 5781, 6820, 7887, 881, 1873, 2381, 3299, 4715, 5984, 6242, 7451, 443, 1468, 2977, 3999, 4635, 5325, 6638, 8123, 443, 1469, 3089, 3968, 4321, 5311, 6851, 7680, 778, 1503, 2993, 3253, 5123, 5369, 7072, 7954, 778, 1503, 2556, 3253, 4639, 5318, 6848, 7521, 778, 1469, 2826, 3348, 4356, 5954, 6550, 7883, 887, 1529, 2273, 3540, 4518, 5796, 6533, 8048, 104, 1318, 2363, 3704, 4567, 6056, 6467, 8039, 663, 1728, 2583, 3495, 4198, 5684, 6408, 7936, 424, 1255, 2476, 3371, 4470, 6026, 7111, 7607, 1090, 1660, 2272, 3917, 4447, 5305, 6961, 7776, 610, 1672, 2534, 3516, 4833, 5221, 7162, 8026, 645, 1919, 2586, 4067, 5061, 6007, 6515, 7631, 641, 1867, 2771, 3512, 4780, 5568, 6551, 7732, 150, 1878, 2266, 3427, 4929, 5754, 7073, 7849, 786, 1770, 2207, 3764, 4807, 5828, 6351, 7439, 862, 1283, 2401, 3941, 4596, 5200, 6563, 7587, 807, 1918, 2566, 4162, 4716, 5408, 6883, 7629, 1040, 1397, 2885, 3423, 4448, 5739, 6883, 8049, 918, 1732, 2181, 3749, 4246, 5706, 7053, 7756, 952, 1942, 2825, 3480, 4594, 5725, 6271, 7929, 884, 1164, 2181, 4110, 5188, 5918, 6708, 7990, 815, 1998, 2181, 4095, 4985, 5752, 7072, 7542, 725, 1316, 3013, 4025, 4717, 5320, 6231, 7534, 959, 1623, 2389, 3778, 5090, 5765, 6239, 7838, 663, 1771, 2429, 3987, 4893, 6123, 7120, 7815, 571, 1146, 2946, 4114, 5159, 5908, 6908, 7920, 678, 2090, 2946, 4152, 5020, 5749, 7120, 8209, 955, 2001, 2265, 3488, 4622, 6195, 6668, 8092, 678, 2090, 2946, 4152, 5020, 5678, 7127, 7941, 955, 1791, 2515, 3380, 4437, 6025, 6709, 7658, 767, 1797, 2803, 4145, 4287, 5289, 6526, 7423, 955, 1455, 2440, 3681, 5145, 5761, 7168, 8209, 678, 1577, 3080, 3300, 5169, 6222, 6715, 8188, 955, 1915, 2515, 3885, 4551, 6203, 6740, 7664, 663, 1893, 2515, 3788, 4574, 5573, 6443, 7582, 779, 1591, 2940, 4145, 4533, 5653, 6702, 7393, 1056, 2000, 2760, 3472, 4912, 5294, 7207, 7908, 288, 1847, 2793, 4068, 5106, 5824, 6972, 7753, 397, 1198, 2924, 3487, 4335, 5432, 6760, 7914, 725, 2108, 2429, 4078, 4316, 5325, 6800, 8209, 884, 1510, 2409, 3660, 4437, 5568, 6565, 7919, 137, 1510, 2149, 4025, 4875, 5335, 6563, 7505, 265, 1706, 2436, 3820, 5042, 6144, 6842, 7831, 844, 1835, 2750, 3508, 4459, 5429, 7044, 7672, 308, 2111, 2941, 3949, 4918, 5911, 6466, 7509, 935, 1945, 2944, 4026, 4513, 6051, 6961, 8195, 984, 1424, 2970, 3680, 4553, 5705, 7149, 7985, 488, 1218, 2996, 4114, 4867, 6103, 7090, 8076, 935, 2017, 2803, 3803, 4980, 5630, 7006, 7949, 818, 2017, 2914, 3893, 4888, 6139, 7239, 7876, 818, 2017, 2914, 3893, 4624, 6186, 6794, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 4, 2 ]
[ 1, 30, 26, 54, 16, 53, 27, 66, 5, 5, 5, 44, 54, 17, 41, 5, 17, 75, 5, 45, 66, 5, 5, 5, 76, 45, 52, 5, 41, 45, 54, 44, 65, 5, 31, 33, 53, 5, 20, 41, 5, 5, 3, 390, 1676, 2483, 3384, 4228, 5661, 6566, 7508, 980, 1227, 3039, 4145, 4968, 6051, 6709, 7717, 374, 1695, 2750, 3882, 4868, 5825, 6789, 7981, 462, 1832, 2482, 3528, 5045, 5648, 6706, 7749, 1019, 1349, 3106, 3623, 4955, 5492, 6461, 7659, 997, 1826, 3103, 3991, 4417, 5325, 6760, 7903, 943, 1440, 2705, 3451, 4226, 6002, 6423, 7889, 493, 1607, 2814, 3735, 4943, 5512, 6494, 8203, 113, 1934, 3061, 3511, 4742, 5566, 6659, 7263, 584, 1826, 2474, 4112, 4604, 5776, 6692, 7605, 1101, 1609, 2307, 3706, 4748, 5533, 7052, 7974, 774, 1397, 2897, 3176, 5054, 5643, 7156, 8118, 807, 1397, 2673, 4037, 4880, 5729, 7033, 8160, 807, 1118, 3116, 3967, 4742, 5576, 6458, 7817, 936, 1550, 3116, 3568, 4678, 5616, 7112, 7904, 1057, 1732, 2951, 3558, 4321, 5517, 6385, 8227, 408, 1227, 2661, 4094, 4981, 6174, 7049, 7962, 850, 1671, 2436, 3514, 4832, 5409, 6655, 7966, 778, 1397, 2563, 3731, 4791, 5844, 6832, 7542, 672, 1349, 2242, 4126, 4275, 5768, 6456, 8178, 862, 1881, 2751, 3593, 4876, 5444, 6251, 7849, 776, 1498, 2207, 3949, 5106, 5341, 6507, 7887, 104, 1550, 2298, 3472, 5052, 5597, 6603, 8161, 778, 2090, 2534, 3464, 4667, 5972, 6860, 7458, 850, 1182, 2615, 3507, 4946, 5390, 6313, 8164, 778, 1878, 2595, 3856, 4214, 6191, 6677, 7718, 936, 1660, 2835, 4091, 5182, 5623, 6750, 7995, 472, 1912, 2670, 3438, 4337, 5390, 6519, 8061, 313, 1301, 2374, 3677, 4531, 5617, 6306, 7365, 810, 2107, 2300, 3416, 4539, 5411, 7210, 7596, 480, 1854, 2751, 3366, 4368, 6190, 6997, 7986, 1041, 1821, 2363, 3573, 4437, 6135, 6610, 8226, 880, 1316, 3013, 3568, 5011, 5789, 6958, 7534, 620, 1631, 2401, 3741, 5070, 5693, 6650, 8197, 887, 1640, 2232, 3221, 5074, 6002, 6891, 7906, 1090, 1388, 2232, 3307, 5053, 6208, 7053, 7785, 1090, 1411, 2232, 3960, 4881, 6028, 7019, 7773, 1090, 1773, 2872, 3201, 4225, 5767, 6839, 7557, 1097, 2017, 2586, 3886, 4822, 5687, 6979, 8237, 915, 1620, 2957, 3914, 4551, 5241, 7132, 8076, 935, 1218, 2803, 4006, 5129, 6025, 7239, 8083, 356, 1684, 2925, 3886, 4918, 6222, 6491, 7831, 105, 1286, 2356, 3994, 5145, 5514, 6870, 8195, 818, 1998, 2833, 4114, 4704, 5548, 7047, 8083, 860, 2017, 3065, 3825, 4630, 6139, 6794, 8147, 488, 2017, 2914, 3825, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 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, 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, 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, 3893, 4798, 6186, 7124, 8223, 419, 1622, 2164, 3893, 4398, 6211, 6840, 7715, 335, 1685, 2542, 4037, 4954, 5590, 7149, 7288, 1004, 1255, 2867, 3307, 4402, 5797, 6531, 7442, 487, 1374, 2923, 3356, 4448, 5200, 6225, 7336, 487, 1863, 2923, 4162, 4755, 5765, 6287, 7835, 443, 1550, 2923, 3695, 4364, 5978, 6255, 7336, 807, 1335, 2346, 3613, 4270, 5898, 7030, 7673, 936, 1350, 2817, 4025, 5011, 5843, 6619, 7809, 487, 2055, 2142, 3964, 4678, 5325, 6566, 8123, 408, 1459, 2366, 3394, 4804, 5449, 6470, 7628, 850, 1182, 2436, 3246, 5073, 5935, 6314, 8034, 778, 1255, 2429, 4055, 4861, 5366, 7164, 7941, 104, 1717, 2272, 3298, 4588, 5485, 6520, 7902, 826, 1350, 2429, 3931, 5073, 5423, 6974, 7918, 408, 2053, 2218, 3669, 4525, 5970, 7070, 7557, 850, 1146, 2775, 3796, 5169, 5950, 7157, 8259, 826, 1455, 2693, 4039, 4748, 5204, 6704, 8195, 465, 1397, 2652, 4078, 4881, 5620, 7205, 7468, 381, 1938, 2797, 3261, 4886, 5321, 6977, 8212, 1036, 1494, 2186, 4053, 4208, 5810, 7107, 7976, 840, 1650, 2751, 3543, 4274, 6031, 7002, 7614, 662, 1919, 2635, 3601, 4955, 5512, 6357, 7513, 641, 1704, 2868, 3162, 4310, 5632, 7241, 8016, 405, 1444, 2860, 3755, 4635, 5717, 6820, 7266, 789, 2098, 2473, 3788, 4456, 6131, 7143, 8238, 256, 1452, 2724, 3413, 5129, 5761, 6896, 7966, 440, 2106, 2468, 3680, 4861, 6129, 7168, 7393, 256, 1851, 3147, 3803, 4287, 5219, 6607, 8126, 518, 2098, 3144, 3395, 4191, 5534, 6566, 7260, 272, 1752, 2860, 4092, 5098, 5474, 6706, 8071, 512, 1499, 2754, 3987, 5104, 6025, 7168, 7768, 1067, 2028, 2301, 3398, 4310, 6096, 6684, 7892, 1067, 1438, 2137, 3992, 4716, 5851, 6348, 8208, 840, 1339, 2751, 3520, 5138, 5643, 7133, 7694, 492, 1293, 2697, 3394, 4308, 5473, 6628, 7833, 192, 1786, 2837, 3356, 4364, 5819, 6910, 8001, 895, 1603, 2515, 3453, 4539, 5944, 6292, 7964, 938, 1173, 3149, 3460, 4597, 5816, 6884, 8240, 663, 1562, 2436, 3352, 4780, 6056, 6737, 7690, 779, 1768, 2661, 3795, 4595, 6195, 6849, 8073, 857, 1508, 2709, 4038, 5022, 5963, 6627, 8081, 678, 1878, 2703, 3732, 4902, 6164, 7023, 7476, 672, 1758, 3019, 3928, 5085, 6204, 6426, 8200, 723, 1510, 2751, 3864, 4259, 5971, 6813, 7398, 876, 1553, 2688, 3353, 4218, 5223, 7072, 7341, 1019, 1388, 2751, 4074, 4926, 6135, 6657, 7971, 1038, 1808, 2830, 4074, 4522, 6178, 6439, 7807, 1090, 1821, 2210, 4006, 4604, 5437, 6525, 8256, 1099, 1175, 2833, 3994, 4287, 5942, 7058, 8126, 818, 1856, 3021, 3440, 4870, 5438, 6786, 8260, 935, 1608, 3144, 3886, 5104, 5767, 6988, 7876, 859, 2000, 2925, 3994, 4870, 6195, 6776, 7899, 914, 2111, 3095, 4145, 5080, 5767, 6677, 8267, 818, 1684, 2991, 4085, 5088, 6085, 6972, 7732, 488, 2017, 3135, 3803, 5038, 5241, 6988, 8147, 818, 1622, 3135, 3188, 4624, 6129, 6972, 7806, 488, 1528, 2914, 3893, 4624, 6081, 7201, 7766, 818, 1622, 3095, 3893, 5080, 6081, 6979, 8260, 818, 2017, 3065, 3893, 4798, 6186, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3825, 4624, 6081, 6794, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 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, 2914, 3825, 4798, 6186, 6794, 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, 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, 1528, 2914, 3825, 4624, 6081, 7226, 8196, 831, 1296, 3135, 3671, 5085, 5661, 6588, 8076, 1033, 1563, 2944, 4093, 4337, 5287, 7222, 7906, 893, 1754, 2944, 3991, 4356, 6113, 6622, 7896, 536, 1269, 2520, 4079, 4557, 5843, 6533, 7362, 104, 1674, 2944, 3437, 4543, 5592, 6822, 7422, 936, 1838, 2583, 3975, 5110, 5674, 6933, 7337, 936, 1655, 2867, 3842, 4242, 5344, 6947, 7463, 526, 1826, 2868, 3187, 4604, 5843, 6763, 8271, 487, 1826, 2382, 3770, 4364, 6004, 6728, 7994, 895, 1826, 2629, 3613, 4755, 5625, 6977, 8079, 1080, 1199, 2149, 3749, 4887, 6201, 6986, 7821, 831, 1903, 2373, 3418, 4273, 5356, 6651, 7652, 1024, 1440, 3061, 3748, 4364, 5995, 6349, 7254, 1024, 1440, 2369, 3870, 4589, 5954, 7086, 8140, 678, 1889, 2389, 3376, 4374, 5390, 7111, 7934, 899, 1762, 2555, 3430, 5098, 6128, 6899, 7476, 518, 1479, 2912, 4045, 5183, 6006, 6344, 7487, 256, 2030, 2315, 3550, 5072, 5890, 6736, 7549, 617, 1597, 3006, 4071, 4374, 5296, 6612, 7806, 440, 2106, 2638, 4114, 5157, 5580, 6892, 7683, 256, 1998, 3147, 3917, 4467, 5565, 6291, 7717, 440, 2127, 2746, 3937, 4844, 5730, 7221, 7262, 901, 2097, 2503, 3201, 4844, 5963, 7084, 7602, 256, 2030, 2833, 4153, 5083, 5219, 7207, 7865, 1102, 2085, 2151, 3231, 4592, 5730, 7184, 7658, 247, 1472, 2515, 3821, 5160, 5751, 7169, 7442, 944, 1553, 2327, 3395, 4364, 5880, 6293, 7270, 672, 1550, 3116, 3162, 4205, 6122, 6885, 8104, 1040, 1118, 2751, 3593, 4982, 6066, 7227, 7398, 850, 1126, 2675, 3934, 4343, 5979, 6812, 7752, 831, 2107, 2279, 3714, 4859, 5386, 7030, 7448, 424, 1485, 2926, 3963, 4667, 5911, 6485, 7929, 391, 1455, 2210, 3616, 4276, 5687, 6734, 7720, 582, 1834, 2282, 3437, 4510, 5706, 6401, 7256, 335, 1942, 2480, 3183, 5189, 6201, 6619, 7530, 807, 1881, 3116, 4088, 4371, 5558, 6576, 7858, 970, 1164, 2751, 3430, 4764, 5611, 7086, 7809, 103, 1363, 2924, 3513, 4379, 5529, 6906, 7535, 757, 1494, 3005, 3521, 5026, 5608, 6660, 7880, 183, 1958, 2398, 3838, 4582, 5814, 7183, 7811, 225, 1958, 2341, 3803, 4421, 5963, 6895, 7732, 225, 1286, 2163, 3930, 4762, 5397, 6734, 7732, 225, 1286, 2781, 3596, 4214, 6065, 6430, 8267, 228, 1695, 2941, 3487, 4644, 6205, 6677, 8150, 228, 1108, 2469, 3832, 4780, 6205, 6677, 7537, 555, 2017, 2659, 3994, 4870, 5580, 7239, 7715, 475, 2017, 3008, 3827, 5166, 5436, 7239, 7838, 899, 2068, 2560, 4114, 4551, 5892, 7090, 7766, 304, 1333, 2654, 3983, 4267, 5436, 7207, 8061, 271, 1299, 2678, 3216, 4611, 5825, 7219, 8077, 535, 1139, 2606, 3259, 4402, 5588, 6563, 8011, 991, 2053, 2625, 3530, 4459, 5523, 6881, 7445, 247, 1636, 2465, 3482, 4205, 5527, 6244, 8069, 1080, 1609, 2282, 4076, 4607, 6005, 6777, 7921, 937, 1858, 2429, 3679, 5150, 5618, 6650, 8255, 104, 1277, 3036, 3593, 4641, 5320, 7246, 8016, 826, 1858, 2887, 3416, 4935, 5589, 6663, 7927, 104, 2107, 2923, 3384, 4816, 5810, 6754, 7742, 778, 1380, 2429, 3352, 4321, 5601, 6688, 8135, 536, 1228, 2173, 3203, 4949, 5532, 7204, 7997, 208, 1469, 3061, 3181, 4620, 5643, 6840, 7615, 862, 1352, 2173, 3986, 4364, 6096, 6619, 7484, 508, 1489, 2653, 3741, 4216, 5803, 6635, 7747, 1063, 1817, 2861, 3409, 4607, 5643, 6414, 7279, 763, 1543, 2393, 4034, 4995, 5208, 6542, 8240, 100, 1704, 2383, 3769, 4447, 5699, 6928, 7846, 371, 1898, 3148, 3907, 4735, 5783, 6849, 7584, 110, 1843, 3010, 3544, 4324, 5659, 6361, 8061, 110, 1747, 2756, 3740, 4653, 5273, 6953, 8150, 110, 1224, 2592, 3630, 5189, 6167, 6422, 7389, 450, 1998, 2941, 3240, 4971, 5696, 6347, 8126, 1051, 1485, 2866, 3752, 4867, 5948, 7223, 7458, 684, 1984, 2947, 3886, 4895, 5931, 7058, 7421, 1097, 1648, 3065, 4041, 5104, 6182, 6771, 8054, 878, 1851, 2991, 3364, 4512, 6137, 7160, 8195, 256, 2060, 2970, 3803, 4861, 6065, 7168, 7524, 256, 1851, 2729, 3932, 4512, 5761, 6605, 7876, 878, 1623, 2473, 3770, 5165, 6110, 7239, 7485, 617, 1851, 3095, 4004, 4334, 5515, 6349, 7949, 789, 2106, 3062, 3440, 4916, 5219, 7129, 7563, 789, 2002, 3147, 4145, 4549, 5413, 7132, 8261, 105, 1648, 2340, 3595, 4918, 5436, 7129, 7706, 555, 1623, 2340, 3595, 5007, 5219, 7069, 8147, 555, 2106, 2560, 3595, 4536, 5892, 6589, 7732, 186, 2073, 2729, 4006, 5104, 5901, 7077, 7766, 860, 1528, 2806, 3932, 4624, 6139, 7077, 7766, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 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, 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, 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, 26, 5, 62, 63, 11, 53, 16, 64, 5, 54, 11, 66, 5, 66, 73, 5, 52, 14, 41, 5, 5, 3, 142, 2017, 2914, 3825, 4512, 6211, 7226, 8147, 915, 1750, 2858, 3595, 4798, 5963, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7715, 142, 1528, 2914, 3893, 4704, 6139, 7226, 8196, 555, 2073, 2164, 4113, 5060, 5635, 6794, 7876, 878, 2088, 2409, 3671, 5138, 5550, 6331, 7816, 1040, 1386, 2409, 3168, 4661, 6125, 6678, 7972, 441, 1503, 2423, 4127, 4887, 5374, 6468, 7593, 441, 2011, 2861, 3348, 4664, 5559, 6704, 8182, 870, 1575, 2725, 3419, 4740, 5345, 6578, 7951, 1003, 2118, 2352, 3518, 4489, 5955, 6414, 7755, 512, 1415, 2396, 3801, 4787, 6001, 6605, 8236, 1099, 2065, 2144, 3487, 5038, 6000, 6709, 8185, 186, 1750, 2781, 3240, 4215, 5385, 6688, 7720, 935, 2065, 3043, 4114, 4630, 5534, 6467, 7949, 337, 1705, 2340, 3226, 4630, 6139, 6786, 8083, 484, 1804, 2959, 3226, 4870, 5378, 7201, 7591, 541, 1620, 2316, 3749, 5169, 5893, 6719, 7777, 541, 1758, 2316, 3245, 5128, 5548, 6239, 8266, 579, 2106, 3021, 3623, 4442, 5805, 7100, 7890, 153, 1509, 3021, 3918, 4470, 5612, 6541, 7355, 392, 1605, 3023, 3310, 5138, 5740, 6792, 7813, 1067, 1162, 2741, 3822, 4755, 5401, 6638, 7542, 360, 1633, 2667, 3398, 5128, 6210, 7223, 7604, 360, 1503, 2728, 4099, 4924, 5872, 6592, 8000, 1067, 1527, 2861, 3577, 4394, 6135, 6792, 7497, 778, 1702, 2367, 3691, 4806, 5221, 6664, 7263, 1090, 1146, 2595, 3837, 4531, 5488, 6734, 7831, 778, 1141, 2693, 3307, 4784, 5788, 6708, 7367, 850, 1838, 2940, 4096, 5127, 5605, 6426, 7815, 778, 1141, 2520, 3361, 4901, 5413, 6768, 7962, 850, 1858, 2187, 3870, 4936, 5474, 6272, 7631, 1057, 1930, 2661, 3396, 4741, 5990, 6640, 7592, 407, 1620, 2741, 3894, 4459, 5627, 6522, 7655, 881, 1770, 2429, 3383, 4636, 6158, 6789, 7635, 708, 1510, 2979, 3820, 4669, 6114, 6422, 7376, 878, 1557, 2678, 3994, 4183, 5788, 7000, 7438, 225, 1459, 2230, 4026, 4819, 5546, 7129, 8238, 334, 1801, 2788, 3532, 4236, 5343, 6614, 7267, 225, 1853, 2156, 3662, 4673, 5385, 7000, 8205, 240, 1550, 3110, 3391, 5088, 5689, 6740, 8261, 510, 1851, 2754, 4103, 4980, 5942, 6979, 7677, 779, 1620, 2560, 3866, 5079, 5297, 6338, 7806, 304, 1333, 2783, 3704, 4918, 6051, 6988, 7992, 887, 2033, 2474, 3966, 5193, 5298, 6349, 8001, 462, 1826, 3010, 3225, 4531, 5286, 7043, 7978, 766, 1650, 2748, 3894, 4855, 6017, 6909, 7730, 1070, 1503, 2974, 3833, 5001, 5941, 6581, 8112, 673, 1199, 2905, 3820, 4760, 6202, 7054, 7855, 1070, 2026, 2713, 3474, 4647, 5764, 6674, 7365, 508, 1886, 2606, 3969, 4436, 5460, 6674, 8015, 1091, 1248, 2532, 3281, 5081, 5574, 6828, 7987, 1099, 1196, 2591, 3894, 4670, 5381, 6929, 7677, 488, 2073, 3095, 3374, 4551, 6205, 6850, 7876, 935, 1705, 3150, 3886, 4387, 6085, 6809, 7876, 935, 1218, 2975, 3374, 5058, 5241, 6750, 7717, 935, 2073, 3007, 4114, 4630, 5966, 6774, 7949, 617, 1974, 2984, 4026, 4870, 5983, 6980, 7636, 195, 1440, 2941, 3518, 4665, 5734, 6648, 7574, 568, 1597, 3105, 3798, 4326, 6137, 7152, 7563, 757, 1596, 2839, 3470, 4423, 5223, 7106, 7929, 401, 1173, 3147, 3231, 4912, 5631, 6774, 7405, 223, 1812, 2409, 4055, 4555, 5827, 6891, 7494, 948, 1346, 2373, 3179, 4459, 6187, 6778, 7689, 850, 2117, 2152, 3479, 4561, 5223, 7057, 7524, 881, 2043, 3019, 3396, 5004, 5982, 6478, 7869, 938, 2050, 2495, 3478, 4332, 5440, 6520, 7336, 1052, 1850, 2173, 3372, 5081, 5610, 6367, 7630, 995, 1740, 3122, 4007, 4934, 5431, 6426, 7621, 1101, 1740, 3129, 3773, 4184, 5557, 7186, 7752, 1036, 1440, 2137, 3623, 4462, 5814, 6626, 7738, 1100, 2058, 2670, 4035, 4894, 5958, 6932, 7909, 900, 1183, 2540, 3690, 4755, 5557, 6525, 7936, 810, 1183, 2260, 3958, 5128, 5492, 7122, 7613, 428, 1183, 2751, 3356, 4799, 6181, 7135, 8105, 179, 1183, 2192, 3573, 4824, 5557, 6828, 7578, 966, 1345, 3040, 3714, 4281, 5799, 7115, 7786, 810, 1529, 2751, 3313, 4357, 5337, 6764, 8068, 179, 1137, 3040, 3699, 4734, 5369, 6936, 7752, 302, 1354, 3066, 3524, 4364, 6125, 6289, 7803, 673, 1627, 2869, 3481, 4364, 5501, 7071, 8217, 242, 1513, 2869, 3641, 4604, 5791, 6587, 8136, 575, 1503, 2755, 4028, 4326, 5389, 7022, 7442, 942, 2120, 2869, 4007, 4466, 5899, 6681, 8224, 373, 1812, 2869, 3181, 4236, 6144, 6408, 7962, 304, 1407, 2307, 3676, 4326, 5684, 6909, 7720, 484, 1467, 2493, 3595, 4456, 5294, 7120, 8026, 475, 1534, 2679, 4068, 4782, 5650, 6988, 7602, 256, 1525, 2959, 3512, 4727, 5223, 6386, 7941, 789, 1940, 2363, 3364, 4583, 5385, 7090, 8253, 256, 2032, 2880, 3646, 4554, 6175, 7019, 7883, 256, 2106, 3000, 3803, 4888, 5219, 6515, 7919, 256, 2111, 2970, 3364, 5075, 6205, 6612, 8185, 878, 1750, 2473, 4150, 4536, 5550, 6810, 7717, 256, 2073, 2340, 3440, 5075, 5413, 6772, 8076, 256, 1147, 2740, 3761, 4888, 6110, 6338, 8236, 617, 1851, 2970, 3798, 4852, 5360, 7084, 8093, 256, 1750, 2560, 4111, 4859, 5515, 6810, 8093, 105, 2060, 2560, 3662, 4387, 5901, 6607, 7677, 105, 2073, 3133, 3827, 4387, 5219, 6238, 8266, 555, 2111, 2656, 3891, 4583, 5672, 6677, 7563, 186, 1623, 2833, 3891, 4374, 5219, 6584, 7732, 488, 2065, 2806, 3932, 4624, 6139, 7129, 8147, 201, 1528, 2806, 3891, 4704, 5534, 7226, 8223, 201, 1528, 2806, 3893, 4624, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 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, 4, 2 ]
[ 1, 54, 11, 66, 5, 76, 17, 54, 5, 17, 75, 5, 31, 33, 53, 5, 76, 20, 63, 5, 33, 54, 47, 67, 46, 55, 5, 5, 3, 488, 2017, 2806, 3803, 4704, 6211, 7239, 8147, 335, 1717, 2360, 4108, 5139, 5241, 6709, 7641, 955, 1234, 2771, 3918, 5145, 5210, 6709, 7563, 955, 1915, 2730, 3273, 4285, 5761, 7103, 7807, 1024, 1238, 2678, 3174, 4534, 5263, 6464, 7627, 252, 1426, 3103, 3162, 4217, 5991, 6507, 8189, 485, 1346, 2570, 3366, 4999, 5497, 6442, 7730, 508, 1867, 2346, 3736, 4176, 5323, 6851, 7831, 373, 1426, 2390, 4138, 4338, 5422, 6992, 7858, 776, 1865, 2858, 3843, 4328, 6024, 7126, 7950, 873, 1496, 3112, 3939, 4874, 6115, 6662, 7917, 833, 1865, 2383, 3880, 4994, 5740, 6430, 7256, 488, 1945, 2960, 4145, 5080, 5550, 6620, 8083, 186, 1963, 2493, 4114, 5061, 6211, 6771, 7876, 488, 2032, 2947, 4018, 4704, 6211, 7077, 8267, 186, 2041, 2806, 4071, 4630, 5241, 7201, 7895, 186, 1528, 2781, 3990, 4366, 5635, 7077, 7895, 186, 2073, 2838, 3982, 4980, 5635, 6688, 8260, 1099, 1804, 2947, 3226, 5166, 6182, 7077, 7723, 390, 1581, 2957, 4166, 4782, 5832, 6786, 8260, 779, 1953, 3108, 3891, 4822, 5883, 7098, 7806, 1047, 2035, 3098, 4114, 5139, 5385, 6988, 7768, 678, 1723, 2780, 4006, 4287, 6026, 7094, 7918, 1047, 2001, 2326, 3728, 4662, 5568, 6935, 7715, 663, 1849, 2520, 4152, 5083, 5407, 7084, 7962, 663, 1236, 2356, 3467, 4229, 6128, 6671, 7311, 708, 1755, 2956, 3583, 4842, 5863, 6716, 7925, 831, 1974, 2356, 3512, 4689, 5911, 6694, 7648, 641, 1974, 2356, 3568, 4422, 5608, 7086, 8061, 319, 1469, 2231, 4153, 4321, 5790, 6557, 8208, 1040, 1499, 2882, 3906, 4356, 5589, 7140, 8229, 840, 1974, 2536, 3988, 4396, 5754, 6301, 7582, 1067, 1930, 2693, 4099, 5055, 5291, 6348, 8234, 1025, 1865, 2564, 4022, 4620, 6136, 6860, 8025, 304, 1763, 2924, 3361, 5183, 5438, 7120, 8209, 955, 1562, 3098, 3645, 4254, 6080, 6677, 7528, 731, 1280, 2349, 3645, 5183, 5811, 6809, 8226, 759, 1777, 2946, 4155, 4562, 5390, 6283, 7578, 504, 1326, 2924, 3194, 4464, 5824, 6270, 7720, 725, 1509, 2506, 3766, 4181, 5859, 6619, 7964, 970, 2001, 3040, 3194, 4962, 5595, 7090, 7422, 678, 1548, 3040, 3737, 4456, 5844, 7126, 7561, 211, 1783, 2493, 3644, 4518, 5661, 6234, 7948, 955, 1915, 3007, 4114, 4588, 5216, 7047, 8185, 940, 1773, 3098, 3516, 4782, 5694, 7201, 8185, 980, 1915, 2326, 3987, 4265, 5981, 6734, 7421, 684, 2046, 2943, 3982, 5129, 5981, 6979, 8195, 639, 1797, 3006, 3603, 5183, 5914, 7222, 7547, 1016, 2036, 2936, 3770, 4807, 5610, 6540, 7515, 880, 1146, 2163, 3366, 4832, 6114, 7115, 7891, 803, 2059, 2470, 3475, 4748, 5578, 6801, 7808, 895, 1706, 2260, 3154, 4478, 6010, 7157, 7547, 391, 1289, 2534, 3427, 5196, 5627, 6952, 8132, 831, 1850, 3033, 3410, 4788, 5280, 6659, 8005, 1035, 1915, 2678, 3771, 5115, 6032, 6566, 7887, 831, 1930, 2737, 3802, 5193, 6015, 6663, 7786, 160, 2079, 2693, 3169, 4651, 5700, 6443, 8072, 424, 1141, 3043, 3671, 5193, 5447, 7047, 7677, 1090, 1773, 2925, 4145, 4210, 5534, 7084, 8266, 211, 1881, 3006, 4145, 4583, 5883, 6979, 8245, 1090, 1660, 2340, 4071, 4870, 5661, 7207, 7723, 424, 1989, 2766, 3298, 5053, 5385, 6348, 8260, 1090, 1146, 2871, 4011, 4622, 5493, 7087, 8240, 610, 1238, 2754, 4067, 4713, 6128, 6708, 8126, 887, 1120, 3103, 3983, 5134, 5613, 7112, 7602, 1025, 1893, 2642, 3801, 4991, 5643, 7142, 7492, 610, 1478, 2506, 3948, 4919, 6005, 6765, 7607, 1016, 2053, 3097, 3420, 4791, 5512, 6354, 8214, 104, 2089, 2856, 3681, 4476, 5866, 7184, 8232, 1001, 1728, 3003, 3721, 5111, 5821, 6574, 8011, 1001, 1146, 2636, 3454, 4422, 5347, 7217, 7674, 113, 1704, 2175, 3847, 4468, 5279, 6387, 7832, 113, 1838, 2129, 3510, 4468, 6080, 6874, 7959, 610, 1877, 2258, 3659, 4543, 5613, 6912, 7832, 1016, 1877, 2476, 3358, 4630, 5702, 6670, 8252, 1016, 1512, 2525, 4011, 5003, 6189, 6386, 8266, 235, 2052, 2258, 3653, 4514, 5207, 7220, 7851, 473, 1566, 2878, 3361, 4701, 5317, 6262, 7735, 171, 2095, 2484, 3932, 4426, 6001, 7098, 8266, 603, 1758, 3110, 3516, 5083, 5630, 6677, 8080, 427, 1876, 2959, 4152, 4985, 5573, 7127, 7831, 405, 1561, 2987, 3356, 4186, 5436, 7091, 8221, 756, 1411, 2601, 3616, 5154, 5594, 6929, 7547, 613, 1858, 2918, 3723, 5123, 6077, 6275, 8067, 1059, 1797, 2492, 3751, 5188, 6180, 6461, 7687, 448, 1494, 2309, 3424, 4878, 6125, 6474, 7451, 160, 1640, 2655, 4137, 4224, 6083, 6715, 7516, 582, 1732, 2309, 3398, 4351, 5565, 6224, 7588, 993, 1692, 3091, 3480, 4995, 6117, 6277, 7524, 884, 1708, 2534, 3764, 4224, 6034, 6976, 8100, 386, 2008, 2309, 3792, 4906, 6116, 6668, 7537, 955, 1302, 2839, 3595, 4589, 5548, 6263, 8266, 731, 1271, 2581, 3710, 4954, 5796, 6834, 7917, 216, 2095, 2946, 4041, 4991, 5968, 6579, 8083, 731, 1280, 2731, 4128, 4782, 5950, 6884, 8237, 103, 1829, 2856, 3710, 5020, 5677, 6768, 7773, 103, 1277, 2309, 3533, 4199, 5757, 6775, 7291, 335, 1858, 2585, 3596, 5134, 5697, 6467, 8045, 731, 1858, 2585, 3256, 4872, 5694, 7129, 7303, 103, 1858, 3053, 3226, 4727, 6141, 7162, 7905, 767, 1876, 2349, 4041, 5083, 5761, 7230, 7911, 304, 1147, 2710, 4041, 4727, 5277, 6966, 7570, 955, 1554, 2432, 3807, 4588, 5601, 6715, 7799, 512, 1620, 2626, 4125, 4549, 5797, 6776, 7879, 878, 2030, 2709, 4106, 4829, 5830, 6262, 7944, 789, 1508, 2473, 3922, 4638, 5296, 7218, 8261, 440, 2060, 2659, 3226, 4344, 5436, 7041, 8054, 878, 1452, 2833, 3595, 4776, 5419, 6959, 7492, 617, 2111, 2746, 3951, 5151, 5296, 6749, 8030, 779, 1797, 2959, 3987, 5151, 5796, 6921, 8069, 223, 2065, 2796, 4074, 4546, 6118, 6566, 7336, 1062, 1860, 2771, 3900, 4226, 6003, 6900, 7678, 536, 1674, 2731, 3824, 4843, 6169, 6257, 7804, 952, 1636, 2810, 4146, 5188, 5279, 6991, 8031, 1057, 1525, 2210, 4146, 4364, 5540, 6834, 7527, 139, 2100, 2210, 3509, 4221, 5610, 6865, 8078, 1051, 1631, 2710, 3204, 4942, 5212, 7028, 7476, 103, 2035, 2633, 3917, 4720, 5453, 6603, 8016, 1056, 1994, 2601, 3540, 4878, 5243, 6267, 7591, 571, 1876, 2946, 3513, 4555, 6116, 6254, 7856, 571, 1858, 2167, 3687, 4737, 5616, 6850, 7515, 779, 2079, 2941, 3873, 4494, 5661, 6709, 7660, 1056, 1238, 3064, 4067, 4589, 6103, 7201, 7846, 288, 2063, 2783, 3975, 4912, 5493, 7084, 7631, 956, 1620, 3135, 4068, 4583, 6129, 6515, 8179, 818, 2000, 2957, 4108, 5061, 5883, 6786, 7723, 818, 1623, 2838, 3982, 4890, 5832, 7084, 8209, 488, 1528, 3117, 4114, 5038, 6139, 7239, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8147, 488, 1528, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 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, 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, 3825, 4798, 6186, 7124, 7766, 4, 2 ]
[ 1, 76, 45, 29, 5, 54, 17, 54, 5, 17, 75, 5, 31, 33, 53, 5, 51, 69, 30, 5, 33, 75, 35, 5, 43, 57, 62, 5, 66, 73, 5, 45, 53, 16, 66, 40, 66, 5, 5, 3, 142, 1528, 2914, 4174, 4512, 6139, 6752, 8147, 488, 1648, 2914, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6139, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 956, 1791, 2957, 3886, 4980, 5635, 6972, 8066, 937, 1924, 2314, 3188, 4896, 6182, 7237, 7820, 716, 2019, 2198, 4158, 4982, 5498, 6551, 7682, 938, 1513, 2137, 3512, 4186, 6086, 7145, 7279, 1009, 1305, 2137, 4073, 4643, 5624, 6734, 8064, 234, 1759, 2595, 3475, 4807, 6107, 6978, 7262, 761, 1458, 2646, 3943, 4983, 6104, 6622, 7496, 103, 1444, 3075, 4003, 4225, 5911, 6884, 7980, 1099, 1540, 2167, 4097, 4681, 6211, 7095, 7557, 1097, 1705, 3007, 3440, 4512, 6123, 6709, 8179, 617, 1320, 2167, 3994, 4437, 5332, 7207, 7712, 118, 1452, 2941, 4145, 5088, 6085, 6840, 8266, 118, 1510, 2181, 3651, 4555, 5764, 7192, 7397, 757, 1249, 2729, 3949, 4863, 6086, 6239, 7485, 757, 2034, 2656, 3522, 4863, 5493, 7095, 8126, 617, 2106, 3139, 3827, 4954, 5385, 6579, 7732, 552, 1147, 3133, 3866, 4870, 5963, 6579, 8179, 555, 1147, 3007, 4166, 4888, 5493, 7207, 8262, 555, 1623, 3064, 3886, 4877, 5767, 7132, 7806, 555, 1623, 2833, 3803, 4681, 6129, 7201, 8262, 818, 1684, 3021, 4085, 5088, 5901, 6677, 7732, 818, 1623, 2608, 3891, 5061, 5981, 7132, 8147, 818, 1623, 2167, 3827, 5166, 5892, 6972, 7723, 915, 2017, 2806, 4145, 4798, 6137, 6996, 8267, 804, 1370, 3053, 3803, 5085, 5832, 6786, 7887, 223, 1717, 3098, 4135, 4583, 6014, 7239, 8237, 752, 1682, 2519, 3922, 4681, 6056, 7162, 8213, 752, 1458, 2750, 3955, 5153, 6160, 6966, 8164, 761, 1993, 2693, 3822, 4693, 5978, 6265, 7321, 802, 1808, 2268, 4074, 5110, 5524, 6478, 7275, 104, 1403, 2564, 3604, 4457, 6123, 6338, 7545, 884, 2002, 3074, 3421, 5124, 5738, 6567, 7688, 657, 1261, 3074, 3421, 4778, 5595, 6386, 7924, 189, 1261, 2751, 4134, 4934, 5576, 7198, 7318, 569, 1426, 2253, 3848, 4285, 5672, 6301, 8056, 1084, 1426, 2877, 3217, 4483, 6040, 7037, 8254, 850, 1828, 2660, 3261, 4635, 5965, 7093, 8228, 424, 1275, 2250, 3407, 4592, 6128, 6426, 7480, 850, 1463, 2462, 4036, 5109, 6056, 6809, 7558, 778, 1141, 2868, 3740, 4982, 5532, 6803, 7725, 850, 1141, 2391, 4128, 4536, 5279, 6331, 7664, 1040, 1828, 2771, 3588, 4459, 6009, 6570, 8090, 988, 1828, 2751, 3413, 4756, 5339, 6723, 7576, 881, 1984, 3074, 3232, 4882, 5444, 7208, 7962, 691, 1828, 2547, 3424, 4205, 5983, 6284, 7301, 987, 1415, 2893, 3623, 5071, 5900, 6969, 7913, 571, 1499, 2991, 4073, 5153, 5784, 6849, 8083, 833, 1560, 2256, 4168, 4792, 6103, 6740, 7910, 1037, 1560, 3007, 3550, 4691, 5223, 6883, 7583, 980, 1509, 2163, 3550, 4872, 5656, 6579, 7451, 516, 1913, 2718, 3877, 4859, 5719, 6286, 7849, 868, 1828, 2133, 3533, 4288, 5745, 6655, 8015, 702, 1557, 2951, 3623, 4484, 5574, 6957, 7640, 870, 1557, 2951, 3572, 4919, 6107, 6458, 7678, 480, 2118, 2951, 3775, 4626, 5920, 6277, 7796, 139, 1238, 2953, 3941, 4664, 5734, 6470, 7738, 663, 1566, 2293, 3224, 4303, 6162, 6348, 7453, 1090, 1931, 2440, 3870, 4362, 5202, 6350, 7453, 424, 1238, 3053, 3892, 5072, 5672, 7168, 7821, 1090, 1399, 3144, 3892, 4334, 5898, 6903, 7716, 424, 1671, 2946, 3987, 4365, 5586, 6507, 8236, 1090, 1685, 2582, 3842, 4365, 5844, 6708, 7768, 831, 1858, 2760, 3188, 5092, 6025, 6719, 7816, 804, 2046, 2167, 4096, 5058, 6211, 6589, 8083, 746, 1965, 2886, 3909, 4454, 5610, 6694, 7602, 186, 1791, 3135, 3990, 4630, 5705, 7157, 8126, 707, 2098, 3096, 3700, 4805, 5356, 6536, 7658, 707, 1814, 2845, 3977, 4278, 5923, 6821, 7500, 955, 1141, 2469, 4174, 4983, 5904, 7152, 8245, 1033, 1812, 2737, 3642, 4282, 5734, 7055, 7823, 443, 1389, 2661, 3962, 4507, 5266, 7114, 7549, 1040, 1299, 2495, 3751, 5001, 5435, 7000, 7629, 806, 1706, 2241, 3823, 4743, 5609, 7229, 7959, 1091, 1363, 3029, 3627, 4717, 6195, 7232, 7531, 308, 1978, 2932, 3692, 4529, 5883, 7129, 8209, 923, 1797, 3124, 3955, 5115, 5697, 7050, 7799, 902, 1636, 2925, 3227, 5052, 5778, 7043, 7270, 845, 1472, 2951, 3952, 5110, 5944, 6319, 7436, 1074, 1238, 2951, 3623, 4598, 5464, 7154, 7922, 862, 1140, 3018, 3208, 4902, 6119, 6957, 7889, 665, 1958, 2871, 3967, 4509, 5742, 6287, 8061, 569, 1785, 2888, 4162, 4902, 5390, 6379, 7800, 424, 1972, 2810, 4004, 4896, 5952, 7241, 7677, 959, 1847, 2137, 3358, 4791, 5944, 7002, 7476, 308, 1304, 2473, 4011, 4912, 5678, 6909, 7707, 440, 1335, 2880, 3555, 4419, 6171, 6614, 7799, 845, 1324, 2137, 3555, 4971, 5981, 6887, 7628, 802, 1725, 2313, 3973, 4729, 5618, 6308, 7373, 803, 1205, 2154, 3413, 4694, 5546, 6522, 8034, 371, 1205, 2200, 3662, 4532, 6020, 7009, 7863, 150, 1503, 3051, 3598, 4339, 5558, 7142, 7451, 373, 1567, 2653, 3868, 4998, 5313, 6772, 7603, 390, 1387, 3150, 3595, 4861, 5910, 6811, 7886, 833, 1503, 2556, 4085, 5165, 6121, 6572, 7577, 899, 1468, 3112, 3227, 4900, 6175, 6688, 7831, 684, 1503, 2167, 3391, 4550, 5664, 6514, 7816, 308, 2032, 3007, 3240, 5135, 6205, 7084, 7992, 804, 1756, 3108, 4115, 5053, 6025, 6876, 7863, 401, 2046, 2520, 3685, 4781, 6051, 6612, 7828, 1071, 1369, 2965, 4098, 4691, 5568, 7134, 8085, 150, 1469, 2901, 3557, 4717, 5716, 7063, 7256, 1025, 1117, 2844, 3794, 5135, 6204, 6585, 7686, 610, 2019, 2246, 4028, 4652, 6218, 6637, 7846, 424, 1737, 3006, 3227, 4962, 5928, 7118, 7987, 571, 2088, 2996, 4135, 4558, 5353, 6809, 7838, 510, 1683, 2641, 3710, 5159, 6129, 6265, 8267, 308, 1587, 2932, 3945, 5061, 6025, 6467, 8252, 935, 2068, 3098, 3201, 5139, 6129, 7162, 7876, 956, 1675, 2991, 4114, 4888, 6129, 7006, 8260, 984, 2063, 2996, 4071, 4624, 5901, 6786, 8179, 186, 1218, 2803, 4108, 5061, 6186, 6979, 7723, 757, 1198, 2356, 3726, 5053, 5369, 6755, 8061, 201, 1528, 2991, 3886, 4888, 6139, 7218, 8179, 186, 1528, 2164, 4018, 4888, 5635, 7239, 7806, 186, 1528, 2806, 3893, 4798, 6139, 7201, 7876, 865, 1706, 2664, 3662, 5100, 5998, 6701, 7503, 118, 1736, 2741, 3764, 4192, 6046, 7132, 8080, 552, 1684, 2729, 3932, 4877, 5538, 6715, 7770, 335, 1797, 2474, 3662, 4513, 5350, 6776, 7949, 752, 1280, 2661, 3819, 4983, 5847, 6980, 7355, 1033, 1562, 2274, 3595, 5135, 6073, 6991, 7881, 1081, 1897, 2167, 3704, 5175, 5982, 6918, 7996, 216, 2000, 2133, 3729, 4215, 5836, 6386, 8036, 1035, 1280, 3135, 3664, 4994, 5340, 7163, 7865, 1029, 1227, 2592, 3848, 4622, 6154, 7084, 7452, 386, 1860, 3075, 3962, 5184, 5975, 6827, 7536, 150, 1283, 3026, 3822, 5157, 6132, 7224, 7386, 884, 1692, 2261, 3900, 4901, 5584, 6844, 7811, 845, 1708, 2210, 3720, 4717, 5339, 7076, 7707, 104, 1794, 2751, 3928, 5096, 6107, 7010, 7865, 304, 1399, 2440, 3795, 5145, 5534, 7047, 7764, 304, 2001, 2946, 3870, 4942, 6175, 7025, 8093, 610, 1561, 2868, 3516, 5088, 6000, 7202, 7806, 610, 1350, 2946, 4166, 5106, 5573, 6377, 8066, 610, 1692, 3038, 3430, 4993, 5978, 6704, 7794, 424, 1937, 2429, 3231, 4538, 5641, 6740, 7927, 536, 1993, 3130, 3229, 4902, 5715, 6740, 7583, 175, 1708, 2288, 3508, 4364, 5347, 6328, 7576, 881, 1421, 2693, 3695, 5146, 5938, 6866, 8193, 211, 1171, 2156, 3183, 4225, 6002, 6991, 7451, 914, 2000, 2729, 4108, 5159, 6085, 6515, 7723, 956, 1218, 2803, 3710, 5095, 5241, 6709, 8179, 1097, 2000, 3043, 4006, 5106, 6103, 7077, 8076, 874, 1964, 2659, 4144, 4321, 6014, 6615, 8235, 699, 2052, 3139, 3879, 4580, 5514, 7132, 7559, 543, 1930, 2596, 3990, 5120, 5409, 6515, 7660, 390, 1233, 2327, 3488, 4185, 5898, 7012, 7794, 806, 1112, 2253, 3334, 4595, 5500, 6651, 7918, 807, 2034, 3029, 4128, 4195, 6117, 7017, 8079, 1080, 1112, 3116, 3600, 5124, 6056, 6856, 7990, 397, 2034, 3039, 3522, 4321, 6120, 6422, 8033, 995, 1692, 2669, 3709, 4437, 5417, 6555, 7707, 487, 1992, 2355, 4125, 5009, 5828, 7220, 7693, 995, 1561, 2309, 3750, 5180, 5594, 6493, 7807, 678, 1906, 2601, 3756, 4236, 5474, 6850, 7951, 103, 1653, 3116, 3279, 4305, 6000, 6354, 7804, 756, 1550, 2355, 3421, 4646, 6215, 7229, 8084, 103, 1932, 2554, 3770, 4374, 6171, 6614, 8185, 308, 1468, 2717, 3472, 4867, 5385, 6810, 7831, 956, 2046, 2944, 3990, 4681, 5811, 6612, 7887, 105, 1851, 3007, 3595, 4622, 5830, 7095, 8080, 568, 1734, 3033, 3803, 4859, 5534, 6607, 7508, 105, 1147, 2542, 3227, 5040, 5892, 7120, 7913, 859, 1992, 2138, 3595, 4622, 5963, 6979, 8185, 818, 1147, 3095, 3994, 4870, 5493, 6604, 8260, 488, 2017, 3021, 3710, 4624, 6205, 7218, 8223, 488, 1528, 3095, 3825, 4624, 6205, 7006, 8196, 488, 1528, 2914, 3188, 4624, 6139, 7077, 7806, 488, 1528, 2164, 3893, 4624, 6085, 7207, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 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, 2914, 3825, 4798, 6186, 6794, 8223, 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, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]
[ 1, 31, 33, 63, 5, 42, 63, 73, 5, 44, 54, 5, 43, 45, 53, 5, 16, 5, 51, 11, 54, 64, 66, 16, 54, 66, 5, 5, 5, 64, 17, 66, 16, 52, 5, 33, 41, 35, 66, 5, 5, 3, 142, 1528, 2781, 3825, 4704, 5901, 6794, 8147, 915, 2017, 2957, 4174, 4624, 6081, 7077, 8147, 216, 1668, 3135, 3226, 4287, 6085, 7084, 8237, 401, 1206, 2943, 3540, 5125, 6051, 6809, 7557, 390, 1982, 2880, 3710, 5115, 6014, 7132, 8076, 448, 1763, 2469, 3511, 4580, 5567, 6540, 7717, 995, 1302, 2436, 3596, 4690, 5579, 6848, 7981, 668, 1557, 3031, 3770, 4320, 5504, 6832, 8173, 668, 1397, 2788, 3770, 4966, 5872, 6814, 7397, 1036, 1269, 3119, 3940, 4553, 6101, 6848, 8130, 1009, 1695, 2674, 3552, 4328, 5625, 6858, 7547, 864, 1695, 2944, 4028, 4376, 5766, 6224, 7419, 1080, 1269, 2490, 3615, 5115, 6076, 7127, 7483, 1080, 1664, 2487, 3756, 4459, 5205, 7013, 7790, 668, 1434, 2581, 3540, 5079, 5767, 6933, 7964, 913, 2099, 2791, 4097, 4823, 5706, 6866, 7336, 1030, 1732, 2369, 3928, 4484, 5874, 7158, 7843, 759, 2099, 2565, 3756, 4539, 5419, 6293, 7355, 386, 1826, 2705, 3723, 4529, 5664, 7059, 7264, 643, 1797, 2156, 3454, 4335, 5953, 6684, 7655, 684, 1721, 2729, 4010, 5157, 5901, 7162, 7386, 684, 1998, 2887, 4145, 4276, 6181, 6809, 7631, 684, 1998, 3064, 4011, 4867, 6205, 6988, 7485, 684, 1620, 2391, 4166, 4551, 6085, 7162, 8083, 804, 1804, 3095, 3226, 5038, 6131, 7077, 8237, 804, 1945, 2947, 4011, 5038, 5883, 6809, 7641, 804, 1998, 3043, 4068, 5166, 6051, 7111, 8179, 508, 1233, 2287, 3994, 4891, 5900, 6431, 7512, 571, 1234, 2794, 3516, 5127, 5436, 6750, 8185, 262, 1770, 2794, 4135, 5066, 5976, 6968, 7851, 641, 1776, 2515, 3667, 4332, 5587, 7127, 7816, 391, 1189, 2432, 4044, 4580, 5802, 6797, 8080, 391, 1742, 2883, 3183, 5127, 5519, 6849, 7624, 391, 1477, 2971, 3739, 4282, 5283, 7018, 8061, 641, 1509, 3050, 3428, 5017, 5296, 6311, 7825, 1006, 1141, 2733, 3234, 4609, 5491, 6874, 7488, 856, 1865, 2162, 3315, 4842, 5792, 6765, 7607, 1003, 1199, 2323, 3704, 4574, 5951, 6430, 7705, 408, 2043, 3050, 4047, 4873, 5846, 6659, 8000, 831, 1726, 2599, 3276, 4738, 5458, 7188, 7643, 204, 1814, 2876, 4073, 5145, 5917, 6314, 7309, 335, 1770, 2130, 3276, 4816, 5362, 6549, 8266, 942, 1621, 2707, 4073, 4335, 5703, 6879, 7996, 722, 1415, 2225, 3457, 4829, 5903, 6325, 7973, 1024, 1531, 2502, 3478, 4677, 5372, 6902, 8269, 668, 1828, 2940, 3586, 4326, 5470, 7242, 7492, 668, 1826, 2267, 3356, 4966, 5298, 6948, 7410, 1024, 1543, 2282, 3586, 4553, 5641, 7090, 7693, 386, 2008, 2290, 3844, 4617, 6195, 6383, 7693, 386, 1958, 2654, 3243, 4780, 5212, 6528, 7842, 304, 1356, 2803, 4145, 4334, 6094, 7058, 7838, 970, 1302, 3080, 4115, 5193, 5864, 6574, 7420, 401, 1830, 3020, 3910, 4387, 5212, 7197, 7791, 643, 1717, 2391, 3649, 4622, 5978, 6646, 7941, 211, 1998, 2661, 3271, 4603, 6205, 7218, 7927, 952, 1564, 2321, 3309, 4276, 5641, 7078, 8214, 756, 2008, 3139, 4153, 4755, 5788, 6895, 7842, 756, 2008, 2212, 3648, 4364, 5815, 6995, 7879, 304, 1116, 3008, 3873, 4895, 5573, 6443, 8267, 160, 1550, 2847, 4138, 4289, 5514, 6735, 7895, 1071, 1550, 2750, 3309, 4542, 6217, 6605, 7537, 844, 1948, 2538, 3873, 4771, 5265, 6876, 7693, 271, 1753, 2951, 4150, 4539, 5590, 6834, 7781, 807, 1385, 2992, 3970, 4760, 5810, 7143, 7776, 1101, 1948, 2665, 3559, 4604, 5656, 6765, 7839, 363, 1935, 2679, 3304, 4230, 5584, 6768, 8169, 884, 1120, 2332, 3772, 4521, 5838, 6224, 7828, 1101, 1421, 2313, 3570, 4518, 6118, 6484, 8022, 725, 1402, 3026, 3770, 4472, 6149, 6591, 7430, 1081, 1509, 3144, 3649, 5135, 5730, 6289, 7989, 304, 1356, 2750, 3836, 4807, 5890, 7076, 7610, 678, 1831, 2690, 3932, 5127, 5485, 6338, 8093, 776, 1294, 3080, 3752, 4531, 5908, 6918, 7664, 643, 1773, 3037, 4005, 4734, 5413, 6736, 7920, 678, 1998, 2298, 3987, 4954, 5832, 6247, 8076, 610, 1189, 2556, 3318, 5003, 5738, 6302, 7547, 508, 2010, 2610, 3770, 4369, 6023, 6361, 7875, 494, 2079, 2345, 3189, 4953, 5810, 6900, 7808, 1022, 1986, 2678, 3634, 4225, 6179, 6658, 7689, 951, 1986, 2783, 4078, 4981, 5702, 6918, 7498, 1097, 1508, 2163, 3962, 4890, 5687, 7152, 7563, 860, 1528, 2803, 4041, 5038, 5210, 7239, 7949, 488, 1869, 3128, 4114, 4888, 5883, 7077, 8195, 818, 1622, 3117, 3866, 4782, 5612, 7077, 8179, 935, 2017, 2838, 4011, 5038, 5635, 7132, 8223, 186, 1622, 2838, 3825, 4630, 5901, 7077, 8237, 186, 2041, 2806, 3893, 4822, 5901, 7218, 7806, 579, 1396, 2709, 3917, 5048, 6204, 6788, 7367, 293, 2060, 2886, 3860, 4457, 5486, 6299, 8034, 878, 1137, 2659, 4026, 4276, 5661, 6375, 8174, 171, 1585, 2989, 4125, 4859, 5305, 6488, 8115, 473, 1509, 2554, 3388, 4372, 5968, 6898, 7876, 948, 2046, 3040, 3540, 4908, 5465, 7091, 7907, 262, 1668, 3040, 4113, 4730, 5946, 7104, 8130, 262, 1770, 3040, 3356, 4344, 5692, 6836, 7581, 731, 1699, 2578, 3499, 4664, 6059, 7019, 8022, 1067, 2024, 2786, 4103, 4448, 6111, 6448, 7729, 722, 1183, 2153, 3378, 4580, 5776, 6907, 8189, 1064, 1468, 2603, 3176, 4764, 5797, 6697, 8115, 948, 1988, 2968, 3467, 5020, 5781, 6825, 7711, 335, 1231, 2309, 3879, 4389, 6025, 6924, 7798, 731, 2091, 2440, 3496, 4890, 5385, 6705, 8252, 767, 1770, 2391, 3756, 4334, 6070, 6864, 7594, 304, 1356, 3109, 3932, 4622, 5219, 6633, 7485, 216, 1847, 2915, 3407, 5115, 6014, 7111, 8143, 899, 1707, 2387, 3540, 4829, 5677, 7084, 7605, 654, 1674, 2669, 4085, 4399, 6110, 6717, 8074, 654, 1826, 3021, 4141, 4675, 5212, 6373, 7710, 654, 2106, 3139, 3416, 4651, 5413, 6734, 7549, 654, 2106, 2554, 4096, 4877, 6110, 7090, 8083, 240, 1876, 2656, 3933, 5007, 5438, 6607, 8150, 240, 1876, 2340, 4071, 4682, 5963, 6671, 7677, 789, 2106, 3133, 3803, 4398, 5981, 6430, 7664, 419, 1750, 3046, 3595, 4398, 5241, 7103, 7664, 419, 1851, 3133, 3803, 4704, 5635, 6889, 7485, 419, 2017, 2164, 3893, 4624, 5892, 7103, 8196, 789, 1961, 2164, 3914, 4622, 5241, 6786, 8130, 195, 1218, 2991, 3470, 4622, 5215, 7043, 8213, 987, 1858, 2156, 3213, 5159, 5364, 7140, 8047, 335, 1794, 2282, 3889, 5091, 5923, 6481, 7965, 840, 1707, 2935, 4037, 4748, 5202, 7097, 7331, 271, 1252, 3140, 3434, 4228, 5917, 6830, 7795, 504, 1252, 2924, 4112, 4872, 5565, 6449, 7825, 678, 1252, 3053, 3975, 4906, 5865, 7242, 7742, 731, 1363, 2740, 3246, 5058, 5777, 6382, 7387, 678, 2008, 2690, 3955, 4912, 5684, 6830, 7664, 970, 1688, 2607, 3246, 4666, 5500, 7230, 7861, 401, 1543, 3036, 3771, 4993, 5534, 7160, 7355, 940, 1797, 3144, 3732, 4834, 5901, 6569, 7791, 304, 2079, 3006, 4174, 4573, 6103, 7010, 8185, 804, 1777, 3022, 3819, 4630, 5901, 6709, 8267, 1097, 1998, 2960, 3710, 4622, 6123, 7201, 7574, 568, 1601, 2553, 4103, 4470, 5863, 6430, 8076, 518, 1858, 2542, 4166, 4877, 5998, 6840, 8126, 419, 1623, 2469, 4096, 5120, 5705, 6688, 7960, 555, 1510, 2560, 3277, 4423, 5534, 7006, 7706, 488, 2111, 2806, 3886, 5088, 6129, 7084, 8080, 488, 1528, 2806, 4145, 4624, 6139, 7090, 8080, 488, 2017, 2806, 3825, 4624, 6139, 7226, 8223, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8147, 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, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 617, 2127, 2946, 3838, 4870, 5901, 6604, 7732, 225, 1510, 3141, 3873, 4638, 5521, 7232, 8266, 654, 2002, 2946, 3798, 4636, 5515, 6757, 8253, 654, 1345, 2340, 3798, 4398, 5385, 6772, 7664, 654, 2034, 2959, 4006, 5079, 5723, 6752, 8236, 195, 1252, 2221, 3332, 5159, 5590, 6772, 7947, 195, 1176, 2554, 3623, 4486, 5660, 7003, 7981, 654, 2002, 3131, 3796, 5138, 5672, 6909, 7906, 654, 2106, 2468, 4103, 5079, 5963, 6889, 7711, 127, 2106, 2904, 3891, 4459, 5942, 6581, 7891, 256, 1304, 2959, 3623, 4764, 5419, 7133, 7664, 756, 1826, 2440, 4175, 4638, 5982, 6717, 7918, 149, 2011, 2549, 3245, 5160, 5345, 6766, 7873, 636, 1509, 2294, 4138, 5149, 5750, 6879, 7790, 655, 1400, 2222, 3577, 4545, 5654, 7174, 7892, 1041, 1812, 2455, 4062, 4998, 6107, 7115, 8053, 938, 1940, 3085, 3992, 4972, 5982, 7228, 7837, 1047, 1509, 3037, 3559, 4184, 5392, 6423, 7559, 804, 1370, 2407, 3595, 5080, 5761, 7148, 7607, 105, 1675, 2586, 4073, 4622, 5677, 6985, 7706, 899, 1905, 2560, 4152, 4925, 6129, 6852, 7658, 405, 1660, 2946, 4087, 4533, 5677, 6677, 7914, 390, 1623, 2391, 4011, 4927, 5923, 6677, 7494, 373, 1974, 2556, 3386, 4588, 5731, 7217, 8184, 610, 1499, 2858, 3437, 4729, 6070, 6684, 8188, 1025, 1469, 2766, 3754, 5052, 5999, 7019, 8157, 981, 1469, 3046, 3908, 4417, 6208, 6592, 8266, 504, 1716, 2712, 3559, 5040, 5223, 6695, 8184, 1029, 1469, 2759, 3167, 4885, 5568, 6739, 7494, 150, 1926, 2727, 4133, 4384, 5858, 6536, 8149, 271, 1926, 2628, 3369, 4644, 5579, 6698, 7804, 504, 1926, 2807, 3934, 4593, 6119, 6461, 7685, 678, 2078, 2705, 3487, 4390, 5940, 6426, 7379, 603, 1183, 2800, 3547, 4939, 6146, 6599, 8081, 984, 1110, 2287, 4151, 4318, 6180, 6967, 7862, 427, 1110, 2875, 3732, 5198, 5436, 7035, 8132, 171, 1976, 2754, 3981, 5083, 5653, 7063, 8107, 935, 1961, 2941, 3645, 4318, 5661, 6953, 7811, 1047, 1961, 2724, 3433, 4328, 5572, 7120, 8203, 1065, 1286, 2514, 3463, 5146, 5436, 6612, 8214, 499, 1510, 2333, 3924, 5142, 5845, 6977, 7975, 897, 1557, 2776, 3394, 4929, 5478, 6974, 8170, 660, 1518, 2593, 3416, 4321, 5683, 6954, 8189, 994, 1206, 2689, 3623, 4321, 6213, 6438, 7613, 668, 2009, 3013, 3678, 4735, 5350, 6706, 8038, 91, 2125, 2487, 3933, 5157, 5390, 6632, 8117, 256, 1540, 2996, 4026, 4849, 6171, 7132, 7962, 901, 2030, 2614, 3909, 4411, 6183, 6376, 8184, 331, 2013, 3109, 3505, 4855, 6181, 6581, 7885, 440, 1597, 2991, 4074, 4512, 5219, 7098, 7806, 518, 2097, 2969, 4068, 4512, 6097, 6284, 7643, 878, 1597, 2754, 4006, 5165, 5219, 6889, 7641, 757, 2088, 2858, 3771, 5179, 5436, 6358, 8260, 171, 1403, 2858, 3516, 4849, 6175, 7017, 7641, 571, 2092, 2436, 3987, 4902, 5904, 6604, 7313, 731, 2108, 2365, 3293, 4459, 5629, 6949, 7490, 759, 1742, 2444, 3649, 4864, 6062, 6456, 7815, 1019, 1758, 2741, 3570, 4861, 5250, 6682, 7793, 664, 1865, 2358, 3570, 4415, 5783, 6800, 7617, 1019, 1865, 2841, 4052, 5137, 5835, 7204, 8052, 827, 1803, 2378, 3229, 4344, 5973, 6838, 7684, 1041, 1510, 2251, 3578, 4795, 5911, 6318, 8215, 113, 1510, 2251, 3300, 4500, 6133, 6571, 7613, 992, 2048, 2378, 3570, 4938, 5535, 6318, 7279, 1041, 1231, 2378, 4110, 4776, 5608, 6912, 7279, 692, 1494, 2741, 3619, 4795, 6015, 6620, 7487, 668, 1510, 2336, 4025, 4434, 5470, 6391, 7934, 692, 1510, 2520, 3386, 5179, 5512, 7115, 7402, 833, 2111, 2820, 4145, 5115, 5755, 6919, 8095, 419, 1623, 2381, 4083, 4925, 6058, 7087, 8245, 105, 2064, 2542, 3251, 5138, 5539, 7010, 7791, 256, 1623, 2925, 3550, 4536, 5413, 6909, 8262, 183, 1826, 2669, 3914, 4780, 6103, 6752, 7706, 555, 1789, 2746, 4145, 5120, 5901, 7069, 8236, 201, 2017, 2806, 4071, 4822, 5210, 6786, 8260, 818, 2017, 3095, 3825, 5038, 6205, 7006, 8237, 488, 1528, 2806, 3825, 4624, 6139, 7201, 8147, 818, 2017, 2914, 3893, 4624, 6139, 6794, 8223, 555, 1648, 3021, 3825, 4512, 5635, 7077, 7485, 105, 2106, 2833, 3596, 5083, 5219, 6612, 7716, 859, 2127, 2970, 3891, 4366, 5935, 6752, 7421, 859, 1974, 2803, 3891, 4583, 5514, 6752, 7806, 859, 1974, 2529, 4096, 5088, 6182, 6762, 8261, 859, 2127, 2529, 3374, 5088, 5219, 6579, 7717, 4, 2 ]
[ 1, 31, 16, 5, 64, 33, 63, 16, 53, 58, 54, 47, 5, 31, 14, 66, 5, 41, 39, 52, 30, 5, 11, 54, 5, 66, 73, 5, 17, 31, 35, 5, 16, 51, 39, 79, 16, 54, 78, 5, 66, 73, 5, 66, 63, 13, 54, 64, 62, 26, 35, 5, 5, 3, 201, 2017, 2164, 3825, 4704, 5901, 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, 935, 2073, 2914, 3891, 4798, 6186, 6972, 7641, 171, 1998, 2957, 3866, 5044, 5436, 6776, 7811, 850, 1596, 2419, 3870, 4981, 6012, 6443, 7918, 480, 1299, 2667, 3271, 4829, 5790, 6612, 7816, 902, 1555, 2678, 3293, 4191, 5733, 6763, 7961, 346, 1617, 3055, 3962, 4354, 6097, 6828, 8044, 576, 2047, 2793, 3880, 4639, 5993, 6446, 8164, 654, 2002, 2766, 3879, 4501, 5835, 7098, 7290, 195, 1265, 2992, 3832, 5188, 6149, 6717, 8099, 195, 1881, 2728, 3900, 4318, 5438, 6840, 7384, 518, 1851, 2659, 3955, 4225, 5565, 6565, 8213, 127, 2002, 2897, 4071, 5058, 5534, 6338, 7707, 195, 1935, 2941, 4015, 5143, 6110, 7207, 8093, 195, 1424, 2287, 3218, 4716, 5218, 6412, 8080, 518, 1623, 3110, 3994, 4298, 5981, 6648, 8130, 518, 1304, 2970, 3719, 4615, 5223, 6716, 7557, 518, 2078, 2781, 3803, 5138, 5767, 6840, 7959, 645, 1827, 2659, 4068, 5120, 5761, 6688, 8186, 726, 1554, 2671, 3334, 4611, 5533, 6383, 7490, 994, 1606, 2508, 3371, 5124, 6004, 6856, 8046, 994, 1696, 2607, 4003, 4603, 6034, 6383, 7297, 966, 1826, 2320, 3192, 5031, 6169, 7035, 8035, 768, 1826, 3055, 3201, 4574, 6030, 6897, 7823, 428, 1412, 2230, 3796, 4367, 5273, 6788, 7820, 768, 1776, 2867, 4096, 4634, 5981, 7245, 7815, 692, 1408, 2808, 3375, 4776, 5674, 6707, 7621, 862, 1517, 2304, 3532, 4457, 5549, 6885, 8118, 784, 1835, 2974, 3640, 4664, 5676, 6453, 7981, 862, 1517, 2311, 3506, 4663, 5382, 6828, 7620, 803, 1363, 2484, 3601, 4742, 5579, 6389, 7261, 1017, 1543, 2311, 3997, 4591, 5867, 6686, 7442, 1017, 1838, 2484, 3398, 4464, 5934, 7053, 7579, 540, 1183, 2887, 3943, 4539, 6152, 7106, 7740, 1025, 1867, 2346, 3480, 4671, 5491, 7012, 7849, 643, 1550, 2956, 3337, 5052, 5485, 6643, 8262, 150, 1550, 3001, 3337, 4688, 6052, 6247, 8053, 223, 2000, 2250, 3552, 4407, 5982, 6698, 8111, 986, 1407, 2346, 3602, 4254, 6101, 6772, 8112, 1023, 1183, 2425, 4072, 4800, 5946, 6833, 8077, 299, 1805, 2894, 3203, 4338, 5528, 7241, 7931, 1101, 1469, 2346, 3373, 4776, 5813, 6773, 7808, 1025, 1805, 3040, 3170, 5031, 6002, 6952, 7261, 643, 2050, 2635, 3568, 4609, 5418, 6789, 7932, 150, 1900, 2250, 3325, 5031, 5927, 7106, 8156, 504, 1317, 3126, 3356, 4984, 5884, 6529, 8068, 784, 1317, 3151, 3999, 5031, 5361, 6671, 8104, 1101, 1758, 2207, 3290, 4435, 5437, 6651, 7986, 940, 1794, 2440, 3488, 4834, 5844, 6350, 7571, 970, 1363, 2292, 3229, 5088, 6086, 6639, 7915, 397, 1315, 3120, 3216, 4611, 5339, 6550, 7488, 487, 1118, 2369, 3928, 5164, 6183, 7043, 8046, 1020, 1831, 3020, 3159, 4421, 5908, 6671, 7479, 582, 2024, 2268, 3417, 5075, 6010, 6903, 8092, 103, 1621, 2387, 3417, 4421, 6118, 6402, 7678, 970, 2034, 3091, 3832, 4527, 5381, 6403, 7828, 938, 1935, 2654, 3575, 4197, 5963, 6442, 7349, 684, 1562, 2440, 3188, 5106, 5883, 6979, 8076, 512, 1407, 3021, 4145, 5075, 5832, 6988, 8267, 959, 1508, 2946, 3962, 5085, 6129, 6704, 8260, 1102, 1562, 2989, 3310, 4925, 5705, 7220, 7677, 702, 1967, 2653, 4128, 5036, 5595, 6225, 8005, 1050, 1596, 2626, 3993, 4601, 5244, 6386, 7719, 835, 1503, 2951, 3997, 4943, 5208, 7044, 7541, 774, 1385, 2455, 3676, 4911, 5658, 6248, 7397, 407, 1543, 3032, 3575, 5135, 5686, 6396, 8197, 231, 1237, 2677, 3662, 4226, 5474, 6436, 7473, 510, 2098, 2783, 3886, 4181, 6120, 7023, 7677, 1015, 1752, 2918, 3866, 4512, 5360, 7229, 7248, 984, 1175, 2729, 3680, 4215, 5550, 7090, 7895, 984, 2065, 3006, 3681, 5153, 5832, 6988, 8185, 256, 2106, 2926, 3993, 5060, 6137, 6604, 7260, 518, 1623, 2803, 3563, 4996, 5963, 6646, 7303, 256, 2032, 2781, 3206, 4398, 5350, 6774, 7716, 256, 2068, 2473, 4115, 4737, 6117, 6515, 8107, 256, 2068, 2473, 4026, 5080, 5687, 7218, 8150, 256, 1851, 3006, 3206, 4387, 6110, 6604, 7806, 256, 2000, 2473, 4078, 4622, 5968, 6829, 8260, 878, 1752, 2970, 3407, 4486, 5825, 6830, 8195, 223, 2106, 2675, 3543, 5058, 5771, 6770, 8107, 900, 1688, 2436, 3552, 4663, 5343, 7210, 7621, 900, 2118, 2901, 3720, 4588, 5237, 6501, 7727, 900, 1794, 2464, 3600, 4840, 5289, 6823, 8036, 407, 1688, 2464, 3454, 4800, 6118, 6837, 8036, 920, 1800, 2717, 3368, 4962, 5615, 6550, 7248, 1080, 1550, 2484, 3465, 4910, 6044, 6735, 7410, 862, 1550, 2265, 3243, 5043, 5576, 6480, 7790, 234, 1550, 3001, 4082, 4495, 6151, 6334, 7348, 234, 1488, 3116, 3796, 4972, 5465, 6432, 7666, 234, 1664, 2717, 3796, 5190, 5368, 6334, 8229, 234, 1363, 2725, 4175, 5163, 5546, 6934, 8084, 234, 1664, 2725, 3651, 4697, 5784, 6497, 7697, 234, 2118, 2581, 4175, 5135, 5558, 7078, 7426, 862, 1503, 2888, 3227, 4985, 5988, 6885, 7363, 620, 1993, 2869, 3499, 5171, 5251, 6848, 7253, 835, 1463, 2869, 3585, 4326, 5733, 7139, 8000, 547, 1503, 2141, 3416, 4236, 5701, 6234, 7389, 938, 1503, 2831, 3250, 5005, 5924, 7045, 7800, 508, 1463, 3040, 3787, 4850, 5746, 6562, 7718, 1024, 1679, 2829, 4160, 5199, 5624, 6914, 7628, 913, 1912, 2256, 3732, 4764, 5874, 6970, 8165, 970, 2085, 2163, 3710, 4546, 6066, 7058, 8253, 171, 1234, 2506, 3777, 4980, 6124, 6506, 7567, 1036, 1183, 2611, 3380, 4692, 5477, 6237, 7825, 1036, 1589, 2763, 3956, 4795, 5496, 6758, 7263, 665, 1993, 2309, 3997, 4579, 5477, 6389, 8115, 386, 1337, 2243, 3960, 4221, 5937, 6268, 8018, 1029, 1786, 3150, 3757, 4755, 5440, 6362, 7680, 1101, 1786, 2408, 3394, 4533, 5311, 6401, 8222, 725, 1140, 2307, 3427, 4799, 5551, 6684, 7707, 1101, 1688, 2667, 3394, 4372, 5348, 7223, 7812, 465, 1983, 2667, 3374, 5071, 5870, 6620, 7466, 1029, 1346, 2737, 3609, 4367, 5392, 7037, 7255, 150, 1145, 3003, 3159, 4855, 5345, 6453, 7466, 643, 1145, 2693, 3537, 5019, 5869, 6646, 7873, 150, 1717, 2581, 3901, 4426, 6040, 6254, 7957, 643, 2035, 2868, 3454, 4700, 6181, 7207, 7705, 1035, 1771, 3033, 4096, 4609, 6090, 7165, 7965, 955, 1562, 2946, 3901, 5098, 6204, 6734, 7939, 308, 1847, 2868, 3909, 4801, 5385, 6260, 7720, 510, 2000, 2803, 3932, 4512, 6146, 7218, 8260, 935, 1924, 3144, 3932, 5104, 6103, 7006, 7720, 186, 1175, 2164, 3932, 4782, 5630, 6709, 7723, 1020, 2013, 3147, 3176, 5160, 6118, 6604, 8110, 225, 1623, 2803, 3555, 5127, 5276, 7201, 7749, 757, 2127, 2820, 3566, 5166, 6117, 7018, 8164, 617, 2052, 2315, 3914, 4888, 5765, 6883, 8076, 552, 1218, 2708, 3982, 4681, 5536, 6338, 7664, 1033, 1509, 2779, 3909, 4670, 5750, 7098, 7631, 223, 1768, 3150, 3268, 5061, 5485, 6881, 7913, 1035, 1972, 2515, 3760, 4946, 5815, 7235, 7291, 504, 1897, 2407, 3856, 4859, 5761, 6667, 8135, 951, 2081, 2151, 3945, 5026, 5958, 6263, 7727, 678, 1737, 3108, 3801, 4887, 5314, 6515, 7846, 643, 2035, 2307, 3416, 5083, 5767, 7115, 8266, 970, 1688, 2363, 3847, 4859, 6032, 6809, 8260, 150, 1681, 2518, 3251, 4219, 5819, 6564, 7451, 501, 1779, 3090, 3616, 4893, 5773, 7114, 7678, 693, 1205, 3150, 3259, 4866, 6017, 6722, 7454, 493, 1205, 2265, 3748, 4226, 6116, 7140, 7289, 339, 1205, 2265, 3239, 4285, 6183, 6719, 7850, 917, 2037, 2137, 3283, 4598, 5615, 6539, 7997, 386, 1571, 2452, 3245, 4244, 5866, 7227, 7800, 288, 1833, 2373, 4145, 4494, 5419, 6414, 7428, 512, 2000, 3150, 3917, 4656, 5630, 7109, 7591, 940, 2060, 3092, 4152, 4611, 5378, 6859, 8085, 440, 1820, 3092, 3306, 5023, 6182, 6768, 8140, 572, 1998, 2771, 4115, 4916, 5810, 6584, 7850, 781, 1199, 2429, 3269, 4494, 5712, 7175, 8143, 1023, 1470, 2581, 3298, 4729, 5648, 7212, 8140, 692, 1968, 2649, 4025, 4436, 5965, 6838, 7815, 761, 1972, 2905, 3248, 4372, 5354, 7073, 7820, 386, 1517, 2911, 4004, 5036, 5821, 6912, 8061, 1029, 1759, 2815, 3572, 5164, 5871, 6632, 7813, 283, 1363, 2424, 3750, 5126, 5518, 6449, 8213, 91, 1563, 2140, 4165, 4417, 5613, 6251, 8093, 1029, 1363, 2874, 3189, 4359, 5603, 6716, 7813, 761, 1510, 2432, 3679, 5068, 5507, 7043, 7615, 884, 1688, 2693, 4038, 4364, 6032, 6434, 7828, 390, 1369, 2775, 3219, 4795, 5739, 6740, 8226, 1097, 1555, 2503, 4171, 4630, 5911, 7098, 7570, 510, 1998, 3110, 3886, 4583, 5981, 6850, 7421, 914, 1562, 2895, 3516, 5143, 6051, 7207, 7641, 510, 1992, 2340, 3885, 4282, 5216, 7098, 7876, 510, 2000, 2781, 3866, 4980, 6131, 7218, 8260, 484, 1847, 3064, 4018, 4630, 6129, 7006, 7806, 727, 1286, 2987, 3716, 4556, 5653, 6270, 7537, 568, 1752, 2944, 3994, 4916, 5464, 6740, 8078, 105, 1756, 3043, 3990, 5061, 6085, 6783, 7591, 160, 1206, 2661, 3374, 4338, 5863, 6550, 7442, 399, 1561, 2309, 3421, 4186, 6179, 7048, 7673, 781, 1550, 2355, 4095, 4321, 5546, 6653, 8263, 920, 1834, 2453, 3442, 4712, 5393, 6592, 8111, 920, 1782, 2309, 4132, 4800, 6069, 6814, 8133, 487, 1689, 2261, 3888, 4800, 5200, 6890, 8168, 487, 1915, 2453, 3425, 4446, 5935, 6614, 8117, 487, 1915, 2453, 3873, 4996, 5810, 6962, 8214, 610, 1809, 2426, 3576, 4743, 5580, 6414, 7535, 955, 1930, 2426, 3391, 4607, 5223, 6944, 8058, 1090, 1716, 2542, 3513, 4276, 5585, 6564, 7948, 757, 1906, 3098, 3826, 4321, 5308, 6837, 7501, 757, 1782, 2421, 3904, 4529, 6117, 6521, 8236, 334, 1241, 2718, 3714, 4949, 5639, 6835, 7770, 118, 1918, 2818, 3316, 4996, 5723, 6694, 8082, 118, 1286, 2975, 3967, 4622, 5394, 6502, 7574, 756, 2021, 2858, 4124, 4644, 5466, 6338, 8048, 844, 1881, 2980, 3967, 4444, 6165, 6470, 7538, 1035, 1915, 2931, 4150, 5134, 5378, 6242, 7627, 761, 1881, 2764, 3605, 5094, 5273, 6944, 7952, 802, 1771, 2188, 3164, 4298, 5613, 6592, 7904, 150, 1773, 3020, 4083, 4191, 5960, 6563, 7852, 1035, 1924, 2440, 3231, 5053, 5765, 7217, 7873, 1025, 1227, 2946, 3305, 4282, 6073, 6235, 8126, 150, 1797, 2727, 4143, 4536, 5981, 7207, 7846, 1025, 1759, 2946, 4145, 4998, 5586, 6298, 8070, 643, 1407, 2946, 3602, 4954, 5653, 7098, 7677, 887, 2045, 2163, 3340, 4352, 6010, 6991, 7422, 317, 1460, 2293, 3448, 4533, 6039, 6918, 7992, 225, 1935, 2858, 4113, 5061, 6110, 6589, 8245, 225, 1773, 2396, 3656, 4867, 6160, 7041, 7939, 225, 1777, 2885, 4125, 4630, 5837, 7205, 7303, 225, 2097, 3064, 3933, 5040, 6051, 6966, 7313, 228, 1468, 3139, 3416, 4716, 5963, 6717, 8083, 105, 1851, 2729, 3886, 4716, 6063, 7100, 7715, 915, 1847, 2925, 3367, 4387, 6103, 6988, 8261, 789, 1468, 3021, 3914, 5104, 5705, 6579, 8130, 568, 1440, 2839, 3904, 4630, 5830, 6988, 7664, 183, 1623, 2718, 4113, 4555, 5942, 6255, 7838, 617, 2097, 2833, 4068, 5124, 5548, 7152, 7865, 160, 1373, 3075, 3766, 5085, 5767, 7220, 8099, 993, 1363, 2502, 4103, 4521, 5370, 6275, 7383, 1025, 1794, 2564, 3631, 4330, 5921, 7103, 7538, 1090, 1167, 3020, 3532, 4723, 5787, 6973, 7538, 211, 1721, 3026, 3631, 5125, 5493, 6589, 8048, 211, 1635, 2188, 4043, 4642, 5765, 7158, 8126, 1099, 1963, 2771, 3562, 4877, 5276, 6668, 7992, 818, 1945, 2164, 3990, 5080, 5241, 7239, 8196, 956, 1945, 2803, 4018, 4630, 5340, 6709, 7949, 956, 1804, 3110, 3886, 5159, 6211, 6786, 8147, 555, 1684, 3038, 3891, 5104, 5883, 7077, 7846, 757, 1961, 2709, 3710, 4682, 5548, 6251, 7732, 421, 2108, 2163, 3662, 4789, 6163, 6800, 7277, 874, 2013, 2287, 4083, 5167, 5574, 6334, 7528, 579, 2060, 2564, 4153, 4411, 5677, 6909, 7811, 153, 1141, 2959, 3932, 4622, 5822, 6755, 8239, 401, 1796, 2694, 3857, 4954, 5386, 7230, 8245, 665, 1982, 2429, 3413, 4777, 6003, 6828, 7528, 908, 1510, 2751, 3164, 4833, 5643, 6764, 7423, 793, 1212, 2848, 3421, 4232, 6010, 6656, 7586, 665, 1587, 2799, 3298, 5081, 5931, 6651, 7360, 881, 1772, 2215, 3933, 4402, 6010, 6334, 7962, 569, 1193, 2701, 3790, 4929, 6074, 6799, 8207, 1057, 1370, 2574, 4007, 4714, 6163, 6657, 7405, 1057, 1915, 3032, 3390, 4234, 5893, 6447, 7740, 1025, 1273, 2881, 4037, 4834, 5486, 7161, 7945, 643, 2079, 2678, 3917, 4716, 5573, 6723, 7785, 887, 1241, 2365, 3838, 4536, 6204, 6988, 7410, 1033, 1302, 2429, 4121, 5195, 6123, 7095, 7722, 678, 1306, 2980, 3616, 5115, 5565, 6809, 7508, 304, 2001, 2996, 3680, 5115, 6175, 7239, 8093, 317, 2063, 2886, 3932, 4900, 5208, 6603, 7794, 228, 1597, 2346, 4093, 5127, 5608, 6497, 7873, 518, 1311, 2355, 3930, 4764, 5515, 6710, 7421, 518, 1562, 2454, 3933, 4181, 5514, 6671, 7559, 568, 1280, 2542, 3366, 5018, 5863, 6715, 8130, 183, 1923, 2554, 3770, 5080, 6149, 7168, 7816, 757, 1998, 2317, 3564, 5168, 5765, 7162, 7531, 818, 1587, 2729, 3819, 5166, 5694, 7230, 7570, 915, 2000, 2554, 3886, 5159, 5677, 6996, 7716, 488, 1648, 2914, 3595, 4630, 6139, 7124, 8267, 915, 1622, 2164, 3595, 4798, 5832, 6996, 8147, 1099, 1648, 3043, 3710, 4366, 5514, 7201, 7949, 956, 1508, 3117, 4174, 4583, 5832, 7124, 7723, 511, 2093, 2312, 3960, 5150, 5778, 6472, 7568, 368, 1582, 2129, 3497, 4390, 5287, 6301, 7727, 888, 1682, 2743, 3371, 5151, 5576, 6596, 7916, 761, 1352, 3112, 3392, 5151, 5964, 7174, 7544, 761, 1843, 2299, 3198, 4246, 5863, 6367, 7567, 581, 1771, 3069, 3404, 4776, 5729, 6497, 7853, 1041, 1407, 2812, 3329, 4930, 5755, 6255, 7810, 802, 1702, 2369, 3696, 5114, 5325, 7144, 7983, 759, 1303, 2751, 3568, 4651, 5437, 6587, 7510, 192, 1706, 2751, 3996, 4626, 5933, 7139, 8105, 827, 2101, 2506, 3214, 4391, 6135, 7139, 8205, 165, 1526, 2188, 3605, 4911, 5353, 6476, 8168, 981, 1510, 2333, 3986, 4321, 5513, 6402, 7915, 981, 1510, 2224, 3828, 5015, 5370, 6663, 7777, 662, 1586, 2549, 3560, 4417, 6077, 6256, 7279, 620, 1631, 2378, 3824, 4933, 5378, 6497, 8086, 265, 1586, 2453, 3357, 4214, 5390, 6905, 7907, 265, 1539, 2801, 4025, 4609, 5875, 6959, 7915, 665, 1597, 2796, 4153, 4817, 5490, 6670, 7943, 981, 1309, 2378, 3828, 4881, 6145, 6477, 7367, 827, 1669, 2549, 3687, 5134, 5273, 6997, 7999, 725, 1108, 2662, 3711, 4575, 6184, 6403, 7965, 827, 1168, 2741, 3687, 5153, 5621, 6402, 7537, 1041, 2072, 2378, 4073, 5158, 5325, 7227, 7456, 1041, 1965, 2378, 3703, 4268, 6042, 6986, 7918, 655, 1510, 3116, 3434, 5015, 5295, 6932, 8264, 725, 1738, 2751, 3581, 4902, 5819, 6670, 8145, 482, 1510, 2345, 3979, 4553, 6066, 6948, 7250, 820, 1763, 2669, 3390, 4902, 6135, 7011, 7333, 709, 1756, 2991, 4069, 4437, 5678, 6800, 7698, 967, 1510, 2307, 4093, 5053, 6195, 6453, 7948, 935, 2111, 3021, 3803, 4828, 5694, 7207, 7764, 818, 1845, 2746, 3886, 4622, 6195, 6996, 7723, 935, 2111, 2914, 3893, 5061, 6211, 6771, 7806, 935, 2111, 2391, 3886, 5038, 6129, 6774, 8267, 935, 2017, 2164, 3206, 4624, 5219, 7006, 8179, 818, 2017, 2781, 3206, 5038, 6186, 7226, 7723, 818, 2017, 2781, 3206, 4624, 5635, 7077, 7723, 488, 1528, 2781, 3825, 4624, 5901, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7226, 7766, 4, 2 ]
[ 1, 76, 48, 5, 44, 51, 64, 62, 45, 63, 47, 16, 54, 64, 66, 5, 51, 57, 52, 30, 5, 65, 45, 75, 35, 44, 55, 78, 5, 64, 51, 33, 63, 64, 52, 47, 5, 66, 73, 5, 28, 48, 5, 51, 16, 54, 64, 48, 75, 30, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4704, 6139, 7226, 8196, 488, 2017, 3117, 3367, 4624, 6186, 7124, 7766, 818, 2017, 3065, 4174, 5038, 5612, 6996, 8196, 262, 1830, 2779, 3540, 4586, 5635, 6605, 7458, 223, 1763, 2971, 3175, 5125, 5802, 6758, 7965, 150, 1649, 3020, 4168, 4965, 5436, 6870, 7741, 1004, 1255, 2207, 3233, 4467, 5762, 6453, 8197, 399, 1472, 2378, 3992, 5084, 6130, 6828, 7442, 737, 1942, 2787, 3191, 4189, 5787, 6521, 7904, 807, 1834, 2751, 4079, 4691, 6065, 6715, 7585, 896, 1550, 2751, 3522, 5036, 5459, 6422, 7592, 1004, 1708, 2751, 3276, 4845, 6034, 6385, 7852, 528, 1550, 3116, 3421, 4298, 5814, 7234, 7930, 314, 1695, 3116, 4021, 4873, 5575, 7149, 8051, 1004, 1282, 3029, 4015, 5097, 6154, 7106, 8081, 845, 1942, 2915, 3605, 4711, 5918, 7053, 7533, 1090, 1942, 2559, 4010, 5110, 5775, 7224, 7837, 833, 1871, 2315, 4124, 4555, 5515, 7098, 7451, 859, 2046, 2946, 4092, 5125, 5223, 6774, 7336, 757, 1147, 2874, 3424, 4214, 5364, 6840, 8206, 1015, 1752, 3021, 3547, 4916, 6103, 6308, 8237, 878, 2068, 2656, 3771, 5129, 5963, 6701, 7563, 225, 1570, 2746, 3183, 5088, 5549, 6607, 7248, 699, 1286, 3026, 3239, 4737, 5953, 7237, 7929, 654, 2034, 2833, 3394, 4549, 5580, 6607, 7485, 654, 1286, 2869, 3886, 4877, 5723, 7129, 7451, 543, 1851, 3062, 4111, 4398, 5767, 7132, 8270, 818, 1991, 3021, 3516, 5038, 5296, 6604, 7856, 419, 2017, 3095, 3803, 5104, 5677, 7120, 8185, 419, 2017, 2729, 3595, 4555, 6186, 7120, 7865, 419, 2017, 2669, 3914, 4704, 5493, 6972, 8185, 419, 2017, 3021, 3825, 4890, 5678, 7226, 7664, 722, 1736, 2429, 3994, 5060, 5836, 6504, 7740, 722, 1411, 2263, 3628, 5040, 6205, 7165, 7794, 726, 1586, 2794, 4095, 4978, 5908, 6603, 7838, 862, 1586, 2481, 3268, 4459, 5409, 6947, 7873, 1080, 2047, 2918, 3258, 4954, 5624, 6692, 7880, 1080, 1586, 2407, 3727, 4954, 5992, 6466, 7809, 1080, 1834, 2734, 4153, 4351, 5944, 6345, 8168, 386, 1735, 2329, 3313, 4720, 6154, 6610, 8000, 784, 1742, 2905, 3745, 4641, 6125, 7127, 8123, 784, 1415, 2905, 4155, 4382, 5335, 6787, 8077, 1009, 1736, 2905, 3570, 4459, 5352, 7184, 7804, 266, 1496, 2874, 3939, 5128, 5580, 7078, 8030, 540, 1586, 2728, 3517, 4679, 5579, 6754, 7675, 314, 1806, 2561, 3547, 4297, 5512, 6612, 7821, 574, 1806, 2564, 3305, 4417, 5594, 7114, 7266, 1009, 1806, 2805, 3580, 4942, 5224, 6978, 7463, 266, 1806, 2885, 3679, 4321, 5280, 6680, 7917, 314, 1806, 2924, 3358, 4663, 6135, 6311, 7704, 784, 1806, 2710, 3878, 4225, 5610, 7043, 7973, 266, 1806, 2656, 3631, 4321, 6167, 7140, 7986, 314, 1806, 3029, 3727, 4694, 6195, 6224, 7791, 784, 1938, 2565, 3476, 4848, 5848, 6579, 7492, 504, 1326, 2492, 3865, 4611, 5574, 6491, 7825, 981, 1826, 3020, 3405, 5127, 5367, 7211, 7704, 575, 1294, 2595, 4043, 4179, 5899, 6672, 8094, 453, 1850, 2429, 3219, 4784, 5829, 6338, 7260, 228, 1175, 2941, 3838, 4925, 5310, 7100, 8117, 654, 1826, 2366, 3592, 4592, 5398, 6272, 7664, 240, 1674, 2542, 3337, 4890, 6149, 6850, 7494, 240, 2034, 2282, 4166, 4549, 5811, 6486, 8085, 240, 2002, 2944, 3276, 5048, 5385, 6432, 8126, 256, 1252, 2473, 4092, 5061, 5550, 7014, 7919, 484, 1758, 3150, 3470, 4859, 5792, 6575, 7732, 488, 1851, 3007, 4068, 5166, 5677, 6338, 8260, 915, 2017, 3065, 3825, 4798, 5677, 6794, 8196, 419, 1648, 2914, 3827, 4877, 5963, 6671, 7485, 293, 2088, 3124, 3518, 4879, 5925, 6771, 7349, 171, 1396, 2989, 4026, 4429, 5961, 7103, 7717, 1015, 1833, 2340, 4066, 4681, 5908, 7188, 8132, 450, 1480, 2293, 3218, 4387, 5649, 6756, 7428, 731, 1897, 2534, 3660, 4512, 5678, 6605, 7458, 547, 1120, 2785, 4133, 4966, 5802, 6384, 7678, 1067, 1205, 2137, 3925, 4901, 5213, 6517, 7255, 547, 1205, 2785, 3796, 5128, 5337, 6366, 7823, 266, 1469, 2587, 3394, 4508, 5440, 6716, 7572, 692, 1120, 3103, 3552, 4729, 6080, 7192, 8047, 938, 1469, 2481, 3623, 4256, 5719, 6900, 8067, 864, 1120, 2137, 3742, 4727, 6125, 6838, 7311, 277, 1913, 3040, 3718, 4720, 5616, 7155, 7810, 1024, 1521, 3040, 3962, 4865, 5678, 6599, 8174, 970, 1446, 2137, 3736, 5183, 6210, 6732, 8009, 1011, 2035, 2970, 3736, 5079, 5834, 6521, 8066, 1024, 1755, 2570, 3755, 4612, 5321, 6876, 8107, 970, 1446, 2137, 3736, 4781, 5538, 7100, 7706, 1011, 1686, 2554, 3561, 5092, 5935, 6692, 7999, 1016, 1315, 2493, 3391, 5022, 5233, 7217, 8099, 938, 1318, 2361, 3416, 4634, 5749, 6716, 7768, 961, 1668, 2541, 4102, 4861, 6123, 7016, 8046, 913, 1865, 3092, 4155, 5011, 6171, 7190, 7717, 833, 1510, 2924, 3732, 4225, 5824, 6938, 7767, 1097, 1684, 2838, 4068, 5115, 5705, 6677, 8147, 225, 1564, 2988, 3298, 4334, 5827, 6251, 7919, 225, 1286, 2163, 4125, 4412, 5503, 6688, 8260, 225, 1905, 3147, 3798, 4267, 5767, 7103, 7260, 225, 1633, 2287, 4006, 4863, 5963, 6717, 7717, 118, 1597, 3021, 3352, 4583, 5296, 6996, 7524, 334, 1286, 2138, 4168, 4224, 5534, 6624, 8173, 118, 1112, 2340, 4005, 4844, 5901, 6612, 8130, 225, 1958, 2904, 3362, 4459, 5778, 7066, 7781, 568, 1633, 3147, 4144, 5061, 5518, 6909, 7956, 617, 1623, 2970, 3879, 5138, 5534, 6740, 8132, 833, 1147, 3008, 3751, 4966, 5840, 6752, 8210, 335, 1856, 2941, 3316, 4337, 5551, 7078, 7706, 862, 1834, 2453, 3395, 4606, 5985, 7097, 7772, 1080, 1397, 2944, 3751, 4970, 5603, 7059, 7790, 668, 1434, 2958, 4021, 4716, 5819, 6334, 7757, 668, 1826, 2979, 4082, 4825, 5345, 6466, 7273, 981, 1509, 2661, 3169, 4423, 5803, 6470, 7751, 940, 1370, 2515, 4073, 4212, 5263, 6708, 7929, 440, 1897, 2938, 3398, 4191, 5610, 7033, 7575, 440, 1724, 2803, 3703, 4681, 5565, 7168, 7660, 440, 1370, 3006, 3933, 4903, 5980, 6671, 8006, 440, 1459, 2349, 3832, 4688, 5216, 6850, 7631, 857, 1403, 2868, 3965, 4918, 5686, 7047, 7256, 1084, 1403, 2332, 4151, 4259, 5474, 6753, 7887, 1052, 1453, 2975, 3424, 4918, 5413, 6525, 7918, 1057, 1770, 2559, 3316, 4954, 5605, 6840, 7469, 1003, 1509, 2498, 4096, 4347, 5539, 7197, 7451, 113, 1736, 2610, 4078, 4993, 5993, 6672, 8245, 487, 1742, 2258, 4078, 4493, 5482, 7103, 7483, 487, 1250, 2132, 3533, 4364, 5823, 6312, 7745, 443, 1938, 3029, 3375, 4736, 5640, 6847, 7533, 986, 1593, 2797, 3261, 4461, 5624, 6512, 8045, 807, 1593, 2797, 3943, 4539, 5800, 6669, 7673, 1090, 1593, 2552, 3392, 5190, 5874, 6354, 7620, 1025, 1676, 2357, 4150, 4782, 6160, 6254, 7454, 1025, 2055, 2440, 3540, 4467, 5746, 6979, 7260, 826, 1858, 2610, 3671, 5165, 5953, 6377, 8023, 778, 1685, 2556, 4096, 4536, 6002, 7023, 7469, 408, 1778, 2429, 4095, 4931, 5695, 7127, 8113, 104, 1510, 2261, 3516, 4993, 6160, 6807, 7887, 1025, 1472, 2422, 3631, 4274, 5573, 6566, 7531, 952, 1570, 2387, 3427, 4278, 5590, 6486, 7846, 568, 1961, 2561, 3936, 4201, 5438, 6282, 7473, 654, 1826, 2303, 4074, 4381, 5443, 6486, 7494, 225, 2079, 2792, 3595, 4586, 5677, 6443, 7677, 568, 2061, 2244, 3535, 5157, 5797, 6809, 7477, 256, 1252, 2554, 3777, 4775, 5767, 6740, 7831, 186, 2111, 2729, 4068, 5120, 6129, 6810, 7477, 818, 2017, 2806, 4011, 5079, 5981, 6338, 7831, 818, 2017, 3006, 3825, 5104, 6186, 6979, 8147, 105, 1468, 2729, 3904, 4870, 5548, 7120, 8080, 859, 2065, 2833, 3595, 4762, 5241, 7160, 7732, 617, 1468, 2454, 4153, 4536, 5987, 6717, 7750, 617, 2127, 2858, 3518, 4681, 5873, 6752, 8061, 617, 2002, 3062, 4145, 4681, 5548, 6840, 7707, 617, 2013, 3144, 4113, 5079, 5811, 6840, 7706, 617, 1468, 2349, 4068, 5130, 5767, 6671, 7664, 757, 1596, 2775, 4092, 4780, 6101, 7129, 7485, 617, 1974, 2833, 3552, 4923, 5580, 6604, 7563, 617, 1468, 3021, 3651, 4297, 6137, 7239, 8128, 617, 1468, 2775, 4153, 4549, 5534, 6717, 8261, 105, 2065, 2833, 3518, 5120, 5527, 7160, 8128, 859, 1684, 2970, 3754, 5157, 5296, 6988, 7706, 555, 1468, 2839, 3891, 4267, 5219, 7098, 8236, 555, 1564, 2554, 3891, 5190, 5892, 6972, 8132, 818, 1468, 3021, 3277, 4704, 5241, 7120, 8126, 488, 1622, 2806, 3893, 4870, 5981, 7124, 7732, 488, 1528, 3065, 3893, 4624, 5241, 7077, 7766, 568, 1570, 2469, 3596, 4411, 6149, 6988, 8080, 195, 1556, 2271, 3692, 4740, 5689, 6607, 7563, 824, 1286, 2904, 4168, 4611, 5413, 6909, 7691, 824, 1286, 2340, 4111, 4611, 5942, 7090, 8130, 654, 2060, 2833, 3914, 5079, 5385, 7035, 7781, 195, 1971, 2341, 4124, 4522, 5413, 6466, 7691, 579, 1905, 2608, 3951, 5075, 5719, 7169, 7563, 473, 1424, 2792, 3994, 4681, 5795, 7114, 7793, 915, 1851, 2669, 3827, 4549, 5677, 7232, 8261, 419, 2017, 2669, 3595, 4344, 5241, 6840, 8261, 419, 1851, 2914, 3914, 4344, 5677, 6840, 7715, 221, 1198, 2309, 3994, 4556, 5276, 6798, 7592, 424, 1707, 2503, 3717, 5135, 6014, 6803, 7823, 922, 1164, 2309, 3500, 5070, 5845, 7150, 7678, 1019, 1400, 2327, 3592, 4467, 5653, 7187, 7900, 668, 1164, 2607, 3446, 4861, 6010, 7140, 7989, 1088, 1356, 2874, 3219, 4741, 5613, 6749, 7534, 862, 1278, 3053, 3615, 4644, 5624, 7195, 7646, 271, 1886, 2439, 3765, 4776, 5837, 7181, 7435, 150, 1171, 2349, 3687, 4474, 6170, 7043, 8207, 1011, 1724, 2349, 3613, 4415, 5536, 6529, 8150, 844, 1196, 2218, 4025, 4705, 6062, 6286, 7986, 424, 1758, 2593, 3697, 4676, 5551, 7010, 7538, 211, 1510, 2847, 3188, 5107, 6025, 6740, 8113, 617, 1510, 2783, 3217, 5125, 5400, 6542, 7980, 568, 1468, 3149, 3687, 4513, 5223, 6914, 7888, 334, 1529, 2564, 4089, 4694, 5504, 7010, 7502, 225, 1396, 2346, 3917, 4398, 6110, 6986, 7555, 654, 2106, 3139, 3891, 4423, 5767, 6986, 7524, 518, 1758, 2995, 3803, 4398, 5413, 7095, 7504, 489, 1601, 2328, 4115, 4321, 5504, 7024, 7822, 746, 1752, 2710, 3831, 4667, 5689, 6486, 7696, 105, 1974, 2559, 3857, 5167, 5573, 6709, 8252, 955, 1400, 2995, 3518, 4762, 5808, 7098, 7831, 685, 1596, 2915, 3592, 4444, 5935, 7013, 7414, 737, 1507, 2841, 3486, 5001, 5594, 6367, 7559, 1103, 1349, 3106, 3547, 4539, 5742, 6881, 8203, 672, 1695, 2327, 3727, 4906, 5313, 6617, 7405, 487, 1350, 2627, 3555, 4848, 5435, 6224, 7727, 1040, 1550, 2751, 3384, 5197, 5639, 6371, 8165, 986, 1931, 2480, 3395, 4863, 6002, 7078, 7453, 211, 1269, 3133, 3660, 4969, 5923, 6810, 7476, 914, 1963, 2729, 3516, 4592, 5898, 7100, 7865, 746, 1910, 2151, 3848, 5138, 5953, 7157, 8227, 374, 1126, 2365, 4055, 5154, 6191, 6909, 7851, 807, 1403, 2797, 3446, 5045, 5455, 6517, 8078, 850, 1510, 2910, 3581, 4962, 5745, 6592, 7827, 1056, 1499, 2729, 3355, 5020, 5858, 6458, 8193, 980, 2079, 2925, 3945, 4993, 5832, 6302, 7962, 211, 1881, 3135, 4171, 4782, 5590, 7201, 7717, 844, 2084, 2139, 3472, 4423, 5413, 7152, 7936, 884, 1797, 3053, 3788, 4402, 5767, 6426, 7906, 672, 1550, 2701, 3580, 4985, 5370, 7035, 7454, 545, 1708, 2514, 3929, 5100, 6179, 6626, 7405, 545, 2009, 2610, 3329, 4402, 5556, 6847, 7808, 1025, 1550, 2131, 3749, 4562, 6194, 6413, 7927, 390, 1858, 3008, 4153, 4258, 5325, 6840, 8099, 1097, 2000, 3021, 3962, 5088, 6182, 6752, 8195, 859, 2000, 2729, 4145, 5159, 6123, 7084, 7664, 859, 1791, 2709, 3516, 5139, 5981, 7090, 7557, 452, 1601, 3046, 3455, 4914, 5713, 6536, 7293, 165, 1303, 2579, 3650, 4267, 5582, 6226, 7376, 617, 1421, 2960, 3455, 4980, 5435, 6309, 7918, 1033, 1421, 3129, 3909, 5109, 6004, 6286, 7563, 1067, 1280, 2724, 3752, 4321, 5347, 6349, 8227, 1025, 1206, 3137, 3324, 4225, 5615, 7052, 8254, 1025, 1676, 2352, 4078, 4622, 6175, 7111, 8236, 1025, 1797, 3033, 3918, 4622, 5663, 6850, 8185, 304, 1620, 2946, 3908, 4912, 5730, 7019, 7887, 304, 1721, 2946, 3773, 4366, 6182, 6540, 7563, 899, 1797, 2315, 3595, 4541, 5474, 6443, 8076, 127, 1756, 2971, 3891, 4870, 5918, 6702, 7303, 654, 2060, 2946, 4098, 4859, 6103, 6776, 7563, 127, 2002, 2946, 3995, 4836, 5787, 6430, 8130, 654, 2106, 2953, 3855, 4870, 5515, 6909, 7908, 654, 2106, 2729, 3376, 4398, 5385, 7207, 7707, 654, 2061, 2792, 3364, 4902, 6175, 7168, 7568, 240, 1606, 2953, 3873, 4863, 6175, 6914, 7397, 240, 1623, 2468, 3376, 5193, 6101, 6677, 7723, 105, 1248, 2151, 4106, 4374, 6149, 6302, 7919, 149, 1827, 2332, 3396, 4700, 5615, 7024, 7776, 807, 1834, 2678, 3637, 4495, 5334, 6856, 8079, 986, 1692, 3029, 3802, 4737, 5603, 6478, 7321, 807, 2033, 2515, 3812, 4478, 5721, 6991, 7770, 545, 1560, 2748, 3939, 5190, 5734, 6842, 7488, 986, 1692, 2751, 3850, 4646, 5298, 6865, 8017, 691, 1706, 2188, 3337, 4925, 5408, 6377, 7366, 986, 1924, 2346, 3423, 4437, 6175, 6682, 7865, 103, 1205, 2561, 3314, 4995, 5409, 7138, 7939, 940, 1942, 2291, 3711, 5005, 6103, 7129, 8128, 103, 1430, 2990, 4003, 4670, 5619, 6655, 7367, 103, 1994, 2655, 3741, 4790, 5675, 6749, 8181, 970, 2034, 2720, 3732, 4986, 5899, 6918, 7749, 981, 1732, 2797, 3391, 5138, 5824, 6443, 7693, 940, 1139, 2238, 3190, 5115, 5276, 7207, 8185, 1081, 1363, 3026, 3961, 4282, 5810, 6962, 8254, 512, 2068, 2293, 4096, 5058, 5573, 6566, 7664, 684, 1508, 3007, 3932, 4551, 5981, 6349, 7949, 709, 2060, 2980, 3822, 5166, 5950, 6614, 7918, 756, 1331, 2340, 3225, 4784, 5684, 6889, 7516, 617, 1945, 3098, 3918, 5138, 6085, 7056, 8017, 308, 2106, 3026, 3994, 4592, 5493, 6646, 8267, 914, 1963, 3061, 3955, 4589, 5216, 7132, 7732, 1056, 1363, 2936, 4145, 5080, 5705, 6810, 8260, 139, 1472, 2271, 3840, 4538, 6222, 6900, 7973, 234, 1349, 2610, 3613, 4702, 5664, 6437, 8240, 234, 1496, 2863, 4003, 4734, 5390, 7118, 8188, 265, 1349, 2373, 3162, 4569, 5526, 6663, 8181, 981, 1557, 2841, 3353, 4289, 5209, 6677, 7482, 308, 2111, 2669, 3909, 4387, 5580, 6467, 7557, 552, 2065, 3095, 3671, 4918, 6205, 6520, 7291, 142, 2065, 3095, 4071, 4822, 5901, 6709, 8195, 142, 2017, 3095, 3825, 4704, 6186, 7077, 7806, 488, 2017, 2746, 4071, 4624, 6186, 6794, 7631, 818, 2017, 2914, 3893, 4888, 5635, 7226, 8223, 818, 2017, 2914, 3893, 4888, 6081, 6794, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 1648, 2806, 3825, 4624, 6081, 6794, 7766, 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, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]
[ 1, 28, 17, 66, 5, 28, 60, 5, 5, 5, 77, 73, 5, 76, 35, 5, 30, 63, 17, 55, 51, 5, 76, 33, 54, 5, 77, 73, 5, 64, 20, 5, 31, 14, 66, 5, 51, 63, 45, 51, 16, 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, 6794, 7766, 818, 1622, 2957, 3893, 4980, 6085, 6979, 7723, 1097, 1175, 2949, 3710, 4276, 5612, 7084, 7720, 818, 1622, 3117, 4011, 4782, 6081, 6709, 8223, 663, 1833, 3073, 3384, 5058, 5730, 6515, 7361, 1064, 1484, 2444, 3941, 4757, 5930, 7230, 7494, 271, 1171, 2868, 3284, 4720, 5204, 6432, 7831, 304, 2079, 2868, 3866, 4542, 5840, 7222, 7949, 804, 2094, 2746, 3917, 4586, 5705, 6850, 8261, 308, 1747, 3064, 3516, 5153, 5241, 6709, 7806, 804, 1534, 2947, 4068, 4888, 5832, 7010, 8195, 308, 1773, 2960, 3990, 5038, 6129, 6979, 8147, 804, 1963, 2783, 3982, 5139, 6085, 6979, 7557, 390, 1700, 2582, 4170, 4912, 5832, 6988, 7908, 401, 1620, 2520, 3990, 4215, 5883, 7218, 8066, 955, 2000, 3143, 3710, 4589, 5573, 7162, 7918, 973, 1199, 2580, 3684, 4550, 5958, 6984, 7710, 888, 1469, 3031, 3385, 4612, 5716, 6319, 7408, 1008, 1630, 2972, 3835, 5056, 5716, 6387, 7590, 1063, 2036, 3090, 3259, 4472, 5466, 7151, 7811, 776, 1244, 2641, 3751, 4308, 5944, 7039, 8092, 1057, 1399, 2741, 3840, 4604, 5616, 6588, 8090, 465, 1582, 3010, 3340, 4417, 5460, 6914, 7503, 161, 1838, 3106, 3986, 4520, 5972, 6906, 8167, 994, 1119, 2218, 4025, 4995, 5735, 6894, 7980, 862, 1758, 2974, 3812, 4555, 6005, 6958, 8101, 807, 1586, 2583, 3327, 5086, 5824, 6431, 7980, 495, 1671, 2805, 3262, 4364, 5695, 6397, 8050, 1090, 1706, 2885, 3229, 4687, 5315, 6603, 7920, 390, 1621, 2672, 3291, 4878, 6002, 6566, 7252, 955, 1550, 2791, 3711, 4872, 5896, 6565, 7776, 103, 2107, 2490, 4130, 4895, 5810, 6464, 8132, 103, 2053, 2566, 3741, 4860, 5607, 6582, 8248, 614, 1808, 2566, 3337, 5145, 5732, 6601, 8038, 487, 1966, 2566, 3410, 4717, 6044, 7138, 7498, 150, 1238, 2487, 3695, 4969, 5441, 6265, 7750, 150, 1238, 2788, 3751, 5052, 5250, 7111, 8213, 150, 1670, 2436, 4126, 4688, 5447, 6642, 8107, 826, 2035, 2321, 4005, 4651, 5944, 6584, 7846, 610, 2035, 2847, 3742, 4872, 6205, 6953, 7768, 610, 2035, 2838, 3842, 4554, 5726, 7157, 7602, 610, 1809, 2533, 3740, 4181, 5515, 7058, 7260, 610, 1529, 2348, 3917, 4552, 5710, 6718, 7421, 887, 1529, 2749, 4110, 5193, 6011, 6408, 8001, 1067, 1469, 2484, 3686, 4330, 5528, 6293, 7883, 692, 1529, 3151, 3584, 4591, 5364, 6649, 7738, 938, 1655, 2953, 3870, 4725, 5419, 6566, 7823, 938, 1531, 2251, 4038, 4538, 5263, 6468, 7846, 940, 1758, 3026, 3726, 4620, 5703, 6726, 8193, 1099, 2095, 2959, 3916, 4592, 5216, 6786, 7557, 390, 1637, 2340, 4085, 4589, 5705, 7010, 8260, 308, 1705, 3095, 4068, 5166, 6063, 6709, 7421, 390, 1705, 3064, 3188, 5085, 6211, 7010, 7948, 308, 1705, 2895, 3891, 5038, 6205, 7230, 8266, 571, 1370, 2340, 4174, 5087, 5288, 7217, 7949, 272, 1198, 2709, 4070, 4860, 6113, 7232, 8253, 572, 1758, 3080, 3359, 4983, 5852, 7094, 7397, 1062, 1139, 3075, 3225, 4211, 5610, 7120, 8235, 1057, 1966, 2656, 3788, 4556, 5797, 7242, 7698, 864, 1403, 2656, 3273, 4799, 5918, 7071, 8236, 668, 1157, 2196, 3714, 4696, 5903, 6466, 7657, 1036, 1108, 2929, 3910, 5040, 5526, 6933, 7747, 493, 1582, 2491, 3179, 4499, 5557, 6244, 8049, 681, 1199, 2361, 3587, 4620, 5435, 6456, 7515, 333, 1199, 2748, 3434, 4322, 5833, 7188, 7671, 1033, 2075, 2247, 3413, 4691, 5724, 6784, 7284, 1090, 1146, 2582, 3836, 4756, 5663, 6302, 7947, 678, 1878, 2868, 3917, 5129, 5475, 6734, 8025, 427, 1777, 2783, 3982, 4828, 5824, 6615, 7753, 935, 1998, 2947, 4115, 4828, 6205, 7149, 8260, 935, 2068, 2960, 4115, 5104, 5534, 6752, 8195, 935, 1791, 2391, 3253, 5038, 6051, 6972, 8266, 450, 1791, 2925, 3814, 4533, 5832, 6715, 7563, 1099, 2032, 2960, 3710, 4276, 5534, 6979, 8237, 804, 1386, 2957, 4011, 4374, 5340, 7162, 8237, 223, 1812, 3092, 3232, 4525, 5986, 7073, 7296, 895, 1770, 2810, 3581, 4830, 6119, 6560, 8061, 319, 1283, 2990, 3630, 4800, 5549, 7086, 7298, 1033, 1284, 2805, 3591, 5152, 5264, 6799, 7744, 1035, 1271, 3061, 3307, 5192, 5573, 7021, 7919, 887, 1978, 2690, 3305, 4237, 5277, 6734, 7250, 582, 2094, 2250, 3398, 4762, 6007, 6991, 8234, 986, 1931, 2787, 3300, 4571, 6002, 6724, 8241, 807, 1146, 2346, 3358, 4716, 6114, 6576, 8086, 487, 1397, 2461, 4082, 4878, 5788, 7017, 8266, 545, 2107, 2346, 3963, 4770, 5269, 6256, 7671, 930, 1732, 2787, 3695, 4816, 6218, 6224, 7756, 778, 1806, 2346, 3776, 4763, 5512, 7099, 7479, 1090, 1472, 2461, 4070, 4913, 5614, 6338, 7888, 317, 1878, 2487, 3464, 4596, 5845, 7168, 7946, 225, 1684, 2566, 3662, 4412, 5975, 6610, 7811, 225, 1801, 2718, 3522, 5120, 5443, 6898, 7612, 225, 1801, 2875, 4003, 5079, 6137, 6668, 7386, 228, 1452, 2566, 3564, 5193, 5761, 7043, 7899, 225, 1424, 2976, 3555, 4423, 6163, 6876, 7524, 228, 1452, 2359, 4037, 5083, 5640, 6338, 8262, 228, 1529, 3147, 3831, 5193, 6211, 7043, 7806, 256, 1529, 2221, 3374, 5167, 5381, 7049, 8130, 959, 1827, 2729, 3692, 4555, 6085, 6575, 7865, 271, 1108, 2429, 4088, 4884, 6147, 6333, 7791, 875, 1865, 2486, 3756, 4800, 5665, 7002, 7634, 875, 1582, 2154, 3793, 4203, 6009, 7206, 7492, 203, 2050, 2693, 3707, 4910, 5742, 7083, 7803, 339, 1897, 2541, 3793, 4876, 5858, 6426, 7828, 368, 1582, 2863, 3784, 4218, 5909, 6391, 7362, 339, 1582, 2329, 3741, 5003, 5347, 7057, 7930, 113, 1582, 2859, 3703, 4603, 5559, 7127, 8004, 917, 1455, 2361, 3658, 4889, 5745, 7059, 7850, 938, 1199, 3106, 3434, 4369, 5860, 7221, 7693, 643, 1499, 3080, 3399, 4818, 5599, 6825, 7838, 308, 1770, 3008, 4067, 4738, 6075, 7184, 8083, 405, 1232, 2860, 4011, 5061, 5678, 7111, 7284, 1056, 1675, 3006, 3645, 4337, 6131, 7129, 8267, 113, 1826, 2361, 3662, 4991, 6012, 6901, 7800, 546, 1609, 2953, 4008, 4363, 6135, 6596, 7496, 1050, 1283, 2951, 3958, 4539, 6104, 7200, 7510, 1100, 1349, 2757, 3394, 4716, 5526, 7200, 8240, 493, 1108, 2480, 3765, 4591, 6026, 6829, 8091, 884, 1349, 2383, 3307, 5169, 5377, 6632, 8268, 940, 1286, 2820, 3994, 4983, 5574, 6646, 8139, 1097, 2111, 3110, 3962, 5088, 6146, 6752, 7437, 552, 1963, 2925, 4145, 4713, 6175, 6393, 8193, 153, 1286, 2163, 4115, 5150, 5436, 7207, 7753, 818, 1475, 3064, 3803, 4888, 5219, 7129, 8267, 488, 1475, 3064, 3803, 4583, 5968, 6972, 8195, 935, 2017, 3110, 4115, 5058, 5635, 7077, 7766, 935, 2017, 2164, 3188, 4798, 6186, 6709, 7766, 473, 1386, 2234, 3904, 5060, 5654, 6467, 7887, 283, 1871, 2428, 3168, 4387, 5585, 6721, 7270, 473, 2037, 2301, 3438, 4365, 5476, 7012, 7781, 405, 1467, 2925, 3901, 4762, 5922, 6344, 7720, 392, 1935, 2940, 3179, 4800, 5573, 6648, 8072, 723, 1758, 2915, 3434, 4354, 5457, 6377, 8188, 491, 1494, 2848, 3384, 4784, 5976, 6834, 8161, 876, 1397, 2156, 3434, 4415, 5589, 7155, 7786, 876, 1808, 3032, 3764, 5122, 5657, 6899, 7277, 390, 1806, 2941, 3877, 4737, 5752, 6816, 8103, 1099, 2046, 2746, 3945, 4861, 5767, 7090, 8260, 555, 2041, 2996, 3891, 4861, 5899, 6901, 8083, 143, 1706, 2729, 4145, 5122, 5658, 6614, 7678, 878, 1706, 2482, 3623, 4266, 5642, 7004, 8170, 288, 1706, 2316, 3488, 5036, 5864, 7207, 8041, 160, 1112, 3144, 3943, 5187, 5810, 6444, 7616, 1074, 1676, 2951, 3792, 4775, 5369, 6913, 7678, 938, 1958, 2316, 3241, 4228, 5734, 6608, 7516, 961, 1695, 3039, 3417, 4846, 5751, 7140, 7822, 308, 1992, 2332, 3994, 4551, 6063, 7012, 7831, 956, 1660, 3053, 4018, 5104, 6195, 7201, 8083, 818, 2041, 2838, 3825, 5080, 6103, 7162, 7570, 512, 1620, 2960, 3671, 4980, 5968, 6979, 7485, 935, 1175, 3064, 3893, 5038, 6182, 6786, 7806, 488, 2017, 3117, 3825, 4287, 6139, 7201, 7949, 935, 1845, 2996, 4068, 5080, 6182, 6996, 7720, 935, 1992, 2833, 3188, 5038, 5963, 7111, 7720, 935, 1847, 2833, 4068, 4287, 5534, 6794, 7641, 488, 1648, 2970, 4071, 4704, 5767, 7239, 8261, 818, 1648, 2164, 3374, 4704, 6137, 6979, 7723, 555, 1750, 2839, 3932, 5038, 6137, 7201, 7723, 859, 1564, 2340, 4068, 5083, 6163, 6604, 8076, 859, 1564, 2340, 3838, 4512, 5844, 7077, 7723, 555, 1974, 3021, 3825, 4387, 5635, 7077, 8080, 555, 1684, 3064, 4153, 4624, 6182, 7226, 8080, 555, 1684, 2970, 3827, 4798, 5981, 6996, 7732, 915, 1622, 2806, 3827, 4512, 5635, 6996, 8126, 555, 1684, 3064, 3374, 4681, 5534, 7124, 7723, 555, 1684, 2970, 4068, 4681, 5811, 6589, 7677, 555, 1147, 2833, 4168, 4890, 5901, 6251, 8223, 555, 1684, 3021, 3374, 5159, 5534, 6589, 7732, 555, 1684, 3021, 3891, 4387, 5635, 7152, 8196, 555, 1750, 2833, 4071, 4681, 5550, 7207, 8196, 915, 1684, 2164, 3825, 4624, 5963, 7120, 7485, 555, 1684, 2833, 3680, 4624, 5635, 6688, 8196, 915, 1622, 2833, 3374, 4798, 5635, 7120, 7766, 818, 1648, 3117, 3367, 4798, 5635, 7124, 8126, 818, 1648, 2833, 3893, 5060, 6186, 7120, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6584, 8196, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8223, 4, 2 ]
[ 1, 64, 17, 53, 5, 17, 75, 5, 76, 45, 29, 5, 64, 66, 45, 52, 5, 41, 39, 54, 66, 52, 47, 5, 44, 52, 73, 53, 16, 54, 30, 5, 31, 16, 5, 33, 53, 16, 54, 16, 54, 64, 5, 16, 62, 11, 54, 5, 76, 45, 29, 5, 76, 48, 5, 64, 66, 69, 30, 5, 5, 3, 945, 2097, 3144, 4068, 5166, 6211, 7006, 8147, 186, 2098, 3065, 4174, 4704, 5963, 7077, 8147, 518, 2127, 2271, 3704, 4611, 5548, 6589, 7904, 518, 1596, 2946, 4113, 4870, 5677, 6612, 7715, 654, 1597, 2340, 3599, 4773, 5942, 6917, 7920, 127, 2013, 2692, 3487, 5159, 5514, 6579, 7698, 518, 2111, 3064, 3376, 4775, 5963, 6431, 8103, 256, 2017, 3147, 3761, 5007, 6149, 7120, 8130, 575, 1241, 2941, 3994, 4834, 5491, 7198, 7727, 204, 1735, 3010, 3277, 4937, 5934, 6798, 7467, 1098, 1789, 2824, 3672, 4835, 5684, 6758, 7685, 1006, 1301, 2578, 4083, 4709, 5526, 6843, 8261, 391, 1338, 2623, 4100, 4969, 5938, 6929, 7412, 391, 2088, 2981, 4029, 5175, 5350, 6871, 7715, 663, 1874, 3053, 3858, 4856, 6211, 6408, 8226, 391, 1705, 2946, 3858, 5166, 6137, 7100, 7498, 767, 1856, 2554, 3430, 4622, 5850, 6793, 7717, 948, 1299, 3063, 3513, 4894, 5802, 6404, 7508, 335, 1477, 3020, 4004, 4376, 6028, 6772, 7687, 731, 1776, 2163, 3391, 4983, 5834, 7000, 7752, 511, 1770, 2485, 4167, 4305, 5417, 6378, 7483, 1030, 1469, 2260, 3340, 4339, 6064, 6860, 7449, 938, 1469, 3085, 3963, 4232, 6159, 6935, 7899, 970, 1499, 2363, 3507, 4688, 5259, 7111, 7492, 684, 2068, 2960, 3990, 4532, 5610, 7197, 8261, 684, 1804, 3135, 4028, 4398, 6131, 6820, 7641, 684, 1998, 3110, 3983, 4762, 5705, 6515, 7764, 684, 1804, 2369, 3916, 4398, 6063, 7218, 8103, 715, 1804, 2989, 3983, 5111, 5388, 6613, 7678, 715, 2094, 2895, 4150, 5019, 5870, 6852, 7842, 776, 1747, 2679, 3931, 4212, 6210, 7100, 7530, 610, 1977, 2924, 3240, 5066, 5567, 6613, 7791, 104, 1984, 3061, 3740, 4952, 6095, 6608, 7367, 271, 2079, 2659, 3351, 4256, 5283, 7079, 8140, 895, 2019, 2137, 3877, 4448, 5422, 6637, 7988, 1101, 1407, 2393, 3793, 4330, 5574, 6804, 7439, 840, 1826, 2638, 3474, 4311, 5641, 6903, 8039, 981, 1794, 2788, 3558, 4225, 6179, 6413, 7628, 356, 1942, 2419, 3470, 5169, 5918, 7223, 7671, 1097, 1562, 2330, 4071, 4551, 5892, 7120, 7437, 186, 1791, 2838, 3932, 5080, 6131, 6688, 7876, 183, 1490, 2943, 4145, 4780, 5550, 6604, 8129, 225, 1633, 3133, 4125, 4583, 5292, 6749, 8266, 568, 2013, 3021, 3352, 5081, 5677, 6604, 7677, 334, 1286, 2560, 4005, 4192, 5527, 6338, 7869, 757, 2127, 3133, 4096, 4411, 5436, 7129, 7303, 757, 2127, 2833, 4168, 4669, 5678, 6224, 8093, 757, 1597, 2656, 3470, 4459, 5942, 7069, 8076, 105, 2111, 2656, 3550, 4398, 5241, 7090, 8262, 859, 1684, 2880, 3564, 4870, 5549, 7100, 7476, 555, 1684, 2554, 4068, 4681, 5438, 7160, 8076, 617, 2127, 2554, 3277, 4611, 5413, 6715, 7706, 225, 1750, 3105, 3662, 5166, 5436, 6338, 7717, 654, 1210, 2345, 4132, 4687, 5892, 7091, 7677, 654, 1750, 2596, 4006, 4344, 5609, 6563, 8262, 654, 2111, 3000, 3879, 4877, 5840, 7069, 7509, 518, 1917, 2473, 3891, 5083, 5660, 6830, 7869, 240, 2002, 2959, 3803, 4918, 6097, 6671, 7717, 789, 1851, 2683, 3689, 4551, 6175, 6671, 8083, 789, 2078, 2880, 3595, 4398, 5241, 6988, 7831, 789, 1756, 2880, 3914, 4716, 5678, 6579, 7831, 518, 1974, 2806, 3363, 4638, 6175, 6444, 7485, 183, 1851, 2554, 4114, 4583, 5892, 6996, 7677, 356, 1945, 2833, 3226, 4859, 5677, 6889, 7303, 160, 1561, 2980, 4168, 5138, 5313, 6614, 8078, 895, 1782, 2422, 3394, 4470, 5396, 6344, 7365, 465, 2033, 2210, 3662, 4694, 5828, 7043, 7577, 150, 1510, 2836, 4151, 5164, 6118, 6768, 7948, 504, 2059, 2920, 3635, 4255, 5323, 7086, 8071, 643, 1137, 2373, 3418, 4343, 5364, 6902, 7515, 970, 1723, 2142, 4004, 4538, 6040, 6605, 7481, 150, 1407, 2173, 4010, 4702, 5740, 6567, 8121, 386, 1440, 2876, 4128, 4299, 5300, 7241, 7648, 1011, 1812, 2173, 3249, 4717, 5685, 6776, 8070, 938, 1777, 2173, 3830, 4592, 5620, 7186, 8224, 970, 1723, 3112, 3388, 4859, 5871, 6792, 8213, 304, 1407, 2971, 3701, 4859, 6024, 6810, 7591, 256, 1403, 2895, 4026, 4602, 5413, 6786, 7976, 518, 2106, 2783, 3646, 5061, 5515, 6296, 8036, 256, 1597, 3026, 3994, 5079, 5534, 7149, 7547, 256, 2106, 2904, 3440, 5159, 5550, 6671, 7476, 256, 1750, 2970, 3761, 4398, 5515, 6892, 8236, 256, 1750, 2729, 3364, 4888, 5579, 6521, 8077, 256, 2065, 2473, 4096, 4512, 6149, 7006, 8080, 256, 1750, 3147, 4166, 4681, 6110, 7132, 7677, 256, 1851, 2970, 3761, 4638, 5719, 6443, 7509, 568, 2065, 2729, 3376, 4387, 5436, 6985, 7715, 1047, 1462, 2151, 3361, 4654, 5202, 6979, 7575, 318, 1601, 2245, 3936, 4729, 5285, 7056, 7906, 247, 1472, 2298, 3912, 4510, 5873, 6540, 7442, 545, 1167, 2377, 4007, 4556, 5914, 6924, 8092, 986, 1747, 2661, 3251, 4321, 5867, 6485, 7846, 1025, 1633, 2766, 3464, 4337, 5490, 6746, 8049, 504, 1829, 2254, 3292, 4749, 5618, 6448, 8168, 731, 1778, 2693, 3929, 5075, 6014, 6736, 7270, 223, 1763, 2926, 4145, 5083, 5976, 6382, 7838, 955, 1562, 2926, 3961, 5058, 5684, 6734, 8179, 512, 1998, 2803, 3917, 4533, 5730, 6786, 8195, 804, 1998, 3064, 4011, 5139, 6211, 6752, 8147, 914, 1847, 2520, 4006, 4912, 6129, 7084, 8266, 555, 2046, 3008, 3866, 4622, 5832, 6850, 7806, 757, 2034, 2473, 3245, 4896, 5386, 7247, 7476, 304, 1596, 3147, 3524, 4372, 5873, 6615, 8080, 1033, 1278, 2274, 3909, 4852, 6010, 6632, 7743, 840, 1814, 2214, 3356, 4801, 5510, 6932, 8069, 884, 1938, 3037, 3585, 4755, 5370, 6500, 7904, 807, 1652, 2316, 3517, 4579, 6107, 7154, 8167, 986, 2033, 2750, 3631, 5036, 6077, 6663, 7937, 487, 1924, 2678, 3601, 4725, 5765, 6414, 8096, 1025, 1388, 2923, 4007, 4620, 5223, 6426, 7704, 643, 2053, 2751, 3582, 4555, 5880, 7041, 7831, 887, 2053, 2751, 3560, 5022, 6135, 7012, 8098, 150, 1388, 2750, 3464, 4321, 5600, 7091, 8254, 443, 1633, 2751, 3375, 4306, 5810, 6612, 7809, 1101, 1842, 2974, 3205, 4321, 5223, 7238, 8214, 881, 1832, 2751, 3182, 4310, 5863, 7191, 8178, 1040, 1628, 2495, 3623, 4321, 5624, 6871, 8163, 840, 1828, 2716, 3842, 4321, 5787, 6986, 7397, 424, 1509, 2296, 3822, 4896, 5979, 6884, 7527, 887, 1199, 2389, 3290, 5042, 6002, 6849, 7774, 887, 1199, 2503, 3430, 5017, 5512, 6612, 7564, 887, 1850, 2858, 3154, 4702, 6002, 6478, 7428, 887, 1503, 2727, 3692, 4548, 5512, 6494, 7415, 150, 1509, 2536, 3595, 4514, 5886, 6810, 7462, 1047, 1994, 2905, 3233, 4830, 6200, 7095, 8098, 948, 2008, 2213, 3233, 4674, 5750, 6891, 8039, 668, 1820, 2652, 3771, 4278, 5223, 7143, 8071, 1036, 1400, 2361, 3459, 4543, 5249, 6728, 7819, 620, 1529, 2170, 3290, 4592, 5393, 6437, 7947, 1024, 1529, 2274, 3496, 4218, 5713, 6724, 7892, 692, 1529, 3060, 3410, 4965, 6116, 6569, 8046, 970, 1356, 2717, 3727, 4221, 5235, 6749, 8222, 504, 1302, 2923, 3660, 4200, 6222, 7018, 7834, 1033, 1633, 2845, 4102, 4831, 5413, 6750, 7812, 731, 1865, 2945, 3912, 4758, 6204, 6224, 7855, 1025, 1797, 2163, 4093, 4586, 5924, 6333, 7678, 271, 1708, 2163, 4164, 5098, 6063, 7003, 8172, 1025, 1494, 2163, 4145, 4179, 5810, 6302, 7260, 993, 1116, 2505, 4005, 4834, 5729, 7207, 7781, 535, 1873, 3054, 3605, 4321, 5731, 6313, 7470, 535, 1865, 2902, 3416, 4321, 6124, 7042, 8134, 1084, 2036, 2440, 3529, 4278, 6002, 6715, 7461, 104, 1915, 2436, 3259, 4966, 6068, 7098, 7528, 1025, 1146, 2678, 3771, 4536, 5260, 7157, 7904, 826, 1255, 2731, 3771, 4418, 5822, 7158, 7856, 826, 1633, 2389, 3544, 4536, 6084, 7017, 7254, 150, 1255, 2716, 4145, 5074, 6007, 6663, 8047, 1081, 1878, 2241, 3233, 4501, 5480, 7120, 7939, 1090, 1978, 2716, 4145, 5159, 5974, 6967, 8245, 663, 1797, 3006, 3909, 5088, 5410, 6540, 7806, 959, 1881, 3144, 3310, 5088, 5610, 7093, 7920, 462, 1557, 2330, 3669, 4887, 6207, 6781, 7785, 1103, 2036, 2693, 4007, 5052, 6004, 7188, 7355, 1016, 1918, 2625, 3191, 4533, 5223, 7066, 8061, 684, 1821, 3006, 3994, 4856, 6163, 6604, 7720, 915, 1406, 2820, 4011, 4870, 6051, 6809, 7806, 818, 1791, 3135, 3891, 4551, 6129, 7201, 7949, 818, 2064, 3135, 4018, 4704, 5661, 7124, 7806, 555, 2000, 3110, 4071, 4870, 5210, 6709, 8260, 617, 1750, 2833, 3914, 4512, 6181, 7218, 7631, 617, 2013, 2356, 3914, 4398, 6137, 7132, 7563, 617, 2013, 3144, 4113, 4870, 5385, 6338, 8066, 617, 2002, 3064, 4145, 5060, 5901, 6412, 8236, 617, 2127, 2554, 3407, 5134, 5678, 6810, 8066, 617, 2078, 2970, 3391, 4583, 6149, 7152, 7715, 617, 2002, 2806, 4125, 5159, 5493, 7120, 7865, 617, 1750, 2469, 4068, 4923, 6137, 6579, 8054, 617, 2127, 2560, 3967, 5159, 5514, 6251, 7717, 105, 1304, 3021, 3407, 4890, 5515, 6840, 7715, 105, 1332, 3021, 4071, 4859, 5811, 6810, 7458, 555, 2065, 3143, 3420, 4870, 5811, 7006, 7485, 186, 2111, 3143, 3825, 4870, 6186, 7098, 7715, 186, 2032, 3064, 3891, 5060, 5635, 7124, 8223, 142, 2017, 2806, 3825, 4704, 5892, 6996, 8147, 860, 2017, 3065, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2914, 3367, 4798, 5635, 7226, 8223, 488, 1528, 2164, 4170, 4798, 5635, 7124, 7949, 571, 1388, 2960, 3990, 4215, 6175, 6589, 7918, 166, 1388, 2481, 3761, 4914, 5828, 6579, 7539, 896, 1561, 3029, 4172, 4755, 5993, 6413, 7509, 1023, 1550, 2492, 3789, 4604, 5454, 6870, 7267, 986, 1858, 2890, 3421, 4201, 5618, 6600, 7384, 756, 1674, 2607, 3929, 5043, 6147, 6883, 7702, 356, 1315, 2693, 3259, 4384, 6135, 6623, 7948, 779, 1708, 2156, 3562, 4439, 6206, 7129, 7831, 510, 2079, 2803, 3771, 5166, 6129, 6709, 7838, 818, 1620, 3135, 4145, 4704, 6129, 6979, 7876, 488, 1804, 3135, 3893, 5061, 6139, 6979, 7806, 818, 1620, 3065, 4085, 5058, 6129, 6752, 7723, 915, 2017, 2914, 4145, 4624, 5635, 6996, 8147, 818, 1528, 2806, 3893, 5080, 5241, 7226, 7641, 555, 1648, 2806, 3550, 4630, 5901, 6677, 8066, 317, 1564, 2718, 4125, 5083, 6007, 7232, 7481, 856, 1389, 2577, 4125, 5153, 5887, 6547, 8245, 135, 1787, 2257, 3329, 4604, 5858, 6371, 7938, 930, 1720, 2190, 3395, 4326, 5547, 6619, 7539, 1064, 1960, 2263, 4161, 4303, 5548, 6848, 8235, 948, 1972, 3051, 4076, 5196, 5515, 6743, 7698, 831, 1236, 2794, 3430, 4807, 5350, 6852, 8082, 149, 1858, 3075, 3256, 4831, 5500, 6584, 7718, 731, 1655, 3053, 4150, 5091, 6070, 6235, 7386, 716, 1655, 2222, 3488, 4833, 5894, 7076, 7919, 223, 2062, 2990, 3259, 4883, 6028, 7100, 7559, 363, 2024, 3026, 4115, 4467, 5369, 6978, 7978, 271, 1164, 2469, 3967, 4983, 5257, 7184, 7862, 465, 1397, 2759, 3573, 4423, 6163, 6507, 7873, 1081, 2033, 3069, 3961, 4622, 5482, 6639, 7698, 887, 2033, 3146, 3233, 4620, 5918, 6260, 7568, 271, 1492, 2775, 3544, 5084, 5315, 6760, 7858, 1057, 1116, 3040, 3749, 5171, 5737, 6802, 7384, 404, 1439, 2751, 3843, 4855, 5749, 6631, 7313, 952, 1751, 3097, 4072, 4881, 6171, 7087, 7538, 1057, 1938, 2887, 3424, 5096, 5868, 6732, 8148, 271, 1768, 2728, 4073, 4530, 6010, 6299, 7676, 391, 1881, 2659, 4162, 4321, 5396, 6540, 7905, 887, 1227, 2797, 4082, 4426, 5500, 7004, 7687, 887, 1227, 2741, 4143, 5118, 5904, 7019, 7919, 887, 1227, 2807, 3440, 4896, 6014, 7207, 7631, 1090, 1773, 3135, 3671, 4912, 5204, 7019, 7557, 833, 1910, 2989, 3575, 5169, 5953, 6314, 7311, 240, 1889, 2923, 3182, 4776, 5830, 6961, 7559, 654, 1826, 2190, 3967, 4555, 6206, 7163, 7810, 127, 2013, 2659, 3933, 5083, 6182, 6604, 8093, 518, 2078, 2542, 3933, 4664, 5219, 7010, 8164, 518, 1924, 3133, 4083, 4381, 5811, 7230, 7706, 518, 1304, 2875, 3706, 4421, 5216, 6988, 8126, 518, 2061, 2959, 3470, 4529, 5425, 6941, 7715, 256, 1622, 3135, 4161, 4654, 6205, 7120, 7773, 552, 2045, 2783, 3914, 4704, 5223, 6575, 7720, 948, 1208, 2775, 3732, 4611, 5678, 7023, 7542, 536, 1769, 2584, 3578, 4365, 5317, 7238, 8212, 386, 1865, 2580, 3179, 4755, 5353, 6966, 7581, 1099, 1771, 3060, 3975, 4980, 5892, 7058, 7421, 956, 1933, 3064, 4097, 4536, 5565, 7157, 7949, 935, 2046, 2947, 4041, 5104, 5705, 7006, 8066, 555, 1620, 3022, 3990, 5165, 5219, 7058, 8267, 914, 1998, 2925, 4150, 5058, 5219, 7006, 7887, 120, 1199, 2594, 3771, 4967, 5962, 6278, 7756, 1015, 1468, 2139, 3922, 4533, 6119, 6925, 7879, 160, 1179, 2858, 3960, 4557, 6169, 6260, 7942, 271, 1619, 3112, 4147, 4477, 5499, 6333, 7331, 1067, 1669, 2604, 3477, 4350, 5517, 6928, 8023, 404, 1983, 3149, 3281, 4195, 6184, 6289, 7363, 536, 1919, 3019, 3427, 4804, 5496, 6635, 7361, 113, 1708, 2756, 3536, 4385, 6021, 7022, 7612, 113, 1553, 2532, 3748, 4672, 5775, 6663, 7480, 831, 1566, 2820, 3562, 4774, 6043, 6350, 8189, 850, 1676, 3109, 3351, 4244, 5899, 6884, 7899, 610, 1577, 2688, 4145, 4807, 5279, 6639, 7674, 887, 1879, 2582, 3540, 4971, 5478, 6884, 7423, 663, 1809, 2515, 3358, 4925, 6204, 6584, 8188, 831, 1581, 3033, 3866, 4764, 6084, 7095, 7976, 663, 1587, 2820, 3987, 4828, 5978, 6809, 7260, 955, 1845, 2793, 3681, 4781, 5515, 6588, 7383, 1035, 1581, 3006, 4146, 5153, 5899, 7217, 8076, 850, 1179, 2396, 3457, 5123, 5506, 6569, 7627, 826, 1727, 2902, 4066, 5072, 6024, 6980, 8101, 840, 1499, 2137, 3507, 5032, 5380, 7177, 7759, 535, 1363, 2868, 3245, 4708, 5624, 6286, 8028, 1025, 2055, 2775, 3832, 5100, 5729, 6889, 7298, 356, 1587, 3021, 4107, 4521, 6065, 6809, 7980, 488, 2041, 3008, 3226, 5104, 6195, 6604, 8147, 915, 2001, 3135, 3710, 4704, 5241, 7218, 7838, 105, 2000, 2991, 4145, 4762, 6123, 6566, 7563, 225, 1958, 2944, 3798, 4996, 5436, 6589, 8262, 568, 1958, 3042, 3782, 4988, 5356, 6327, 7835, 757, 1971, 3147, 3662, 4916, 5223, 7222, 7476, 552, 1386, 2340, 3424, 5167, 5276, 6752, 8260, 171, 2088, 3110, 3955, 4423, 5527, 7120, 8126, 132, 1833, 3143, 3662, 5053, 5841, 6239, 8126, 186, 1620, 3143, 3982, 4681, 5901, 6677, 8267, 1097, 1467, 2164, 4174, 5058, 6081, 6589, 7949, 211, 1523, 2936, 3982, 4822, 5385, 7168, 8054, 752, 1924, 3108, 4011, 4872, 6063, 6719, 7948, 826, 1407, 3092, 3916, 4288, 5699, 7111, 7570, 150, 1238, 3020, 3233, 4335, 5749, 6719, 7634, 150, 1421, 2419, 4145, 4402, 5573, 6732, 7442, 103, 1388, 2133, 3376, 4644, 5825, 6319, 8129, 103, 1499, 2448, 4103, 4441, 5257, 6889, 7954, 304, 1831, 2454, 4082, 4859, 5640, 7157, 7873, 955, 1924, 2454, 3945, 5193, 5216, 6286, 7831, 568, 2000, 2801, 3703, 4611, 5884, 6850, 8178, 568, 1570, 2975, 3746, 5012, 5248, 6880, 8061, 225, 1147, 2971, 4166, 4870, 5413, 7152, 7383, 225, 1392, 3141, 3394, 4918, 5942, 7103, 7913, 654, 2106, 2833, 4006, 4512, 5386, 7069, 7509, 228, 1304, 2833, 3276, 4700, 6110, 6308, 7563, 228, 2002, 2669, 3420, 4780, 5624, 7129, 7430, 228, 1597, 3133, 3914, 5143, 5493, 6996, 8261, 789, 2002, 2356, 3994, 4859, 5624, 6604, 7303, 419, 2078, 2473, 3803, 5120, 5624, 7120, 8076, 419, 2017, 2858, 3914, 4704, 5241, 7077, 8223, 105, 2127, 2941, 4071, 4423, 5515, 6604, 8262, 568, 1333, 2614, 3770, 4179, 5797, 7232, 7538, 391, 1930, 2808, 3251, 5091, 5884, 6343, 7750, 726, 1758, 2865, 3245, 4417, 6052, 6892, 7718, 864, 1735, 2794, 3635, 4672, 5637, 6888, 7477, 1024, 1509, 2361, 3420, 4335, 5984, 6334, 7649, 547, 1468, 2785, 3793, 4464, 5961, 6918, 8024, 504, 1490, 2353, 3496, 4635, 5899, 6791, 7727, 981, 1199, 2690, 3826, 4665, 5442, 7237, 7597, 1057, 1294, 2678, 4047, 4315, 5977, 6830, 7829, 1022, 1809, 2452, 3472, 5116, 6154, 6663, 8095, 1011, 1171, 2452, 3714, 4269, 5721, 6283, 7631, 940, 1485, 2788, 3904, 5000, 6005, 7004, 7702, 684, 1421, 3098, 4168, 4801, 6128, 7090, 7336, 1097, 1508, 2582, 4115, 4589, 6195, 6709, 7485, 779, 1668, 2943, 3982, 4551, 6103, 7006, 7421, 914, 1675, 2582, 3188, 4215, 5635, 7201, 7806, 914, 1963, 2947, 4068, 4980, 6182, 7168, 8237, 153, 1945, 2720, 3975, 4850, 5455, 7160, 7715, 1097, 1218, 2833, 4085, 4822, 5340, 6972, 7887, 488, 2017, 3117, 4114, 5058, 6211, 7226, 8260, 142, 2017, 2914, 4071, 4704, 5241, 6709, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 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, 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, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]
[ 1, 14, 65, 35, 5, 66, 76, 45, 64, 66, 16, 30, 5, 11, 54, 5, 76, 17, 54, 5, 54, 48, 5, 5, 3, 945, 1528, 2806, 3803, 4704, 6211, 6988, 8147, 915, 2017, 2806, 3891, 4704, 5901, 6604, 8147, 617, 2032, 2473, 4028, 4818, 5678, 7181, 7929, 653, 1719, 2487, 3204, 4413, 6192, 6412, 8219, 673, 1388, 2335, 3185, 4240, 5990, 6659, 8158, 737, 1940, 2355, 3593, 4963, 6041, 6632, 7651, 302, 1388, 2380, 3218, 4339, 6041, 6717, 7462, 165, 1959, 2464, 3288, 4804, 5212, 6955, 7304, 331, 1286, 2974, 3742, 4284, 5695, 6339, 7872, 691, 1649, 2355, 3812, 4611, 5596, 6806, 8205, 639, 1112, 2355, 3224, 4329, 6118, 7181, 7539, 356, 1889, 2941, 3388, 4589, 6182, 6702, 7477, 568, 1674, 2839, 3596, 5145, 5245, 6884, 8159, 334, 1564, 2867, 3785, 5053, 5668, 6551, 7395, 568, 1674, 2262, 4168, 5075, 5998, 6550, 7683, 568, 1264, 3114, 3623, 4590, 5844, 7001, 7510, 757, 2034, 2468, 3239, 4985, 5657, 6757, 7867, 617, 2127, 2468, 4145, 4877, 5372, 6800, 7887, 153, 1750, 2833, 3873, 5167, 5385, 6996, 8267, 335, 1816, 2241, 3681, 5138, 5228, 6517, 7602, 1008, 1373, 2378, 3492, 4727, 5424, 7058, 7838, 344, 1368, 2958, 3515, 4246, 5349, 6401, 8033, 1001, 1268, 2741, 4076, 5034, 5703, 6852, 7291, 1022, 1510, 3060, 3991, 4812, 5942, 6440, 8214, 684, 1585, 2775, 4085, 5134, 6007, 6947, 7794, 818, 1856, 2943, 3710, 4447, 5796, 6972, 7485, 818, 1874, 2943, 3710, 5038, 5901, 6786, 8147, 935, 1218, 2989, 4011, 5060, 6025, 7006, 7806, 935, 1869, 3095, 3914, 5060, 6081, 7218, 7806, 555, 2017, 2957, 3914, 5165, 6103, 7207, 8185, 757, 2098, 2925, 4145, 4945, 6048, 7129, 7515, 276, 1490, 2951, 3185, 4538, 5556, 6298, 7781, 568, 1736, 2792, 4168, 4421, 5303, 6991, 8014, 541, 1883, 2340, 3297, 4715, 5799, 6808, 7303, 707, 2088, 2669, 3974, 4785, 5672, 7232, 7480, 475, 1304, 3139, 4113, 4836, 5210, 6740, 8054, 1056, 1981, 3098, 4006, 4398, 6149, 7098, 7726, 826, 2063, 2860, 3227, 4322, 5496, 6820, 7750, 280, 1338, 2137, 3816, 4588, 5209, 6542, 8161, 1040, 2094, 3137, 3366, 4905, 5364, 6765, 7615, 221, 2118, 2983, 3574, 4767, 5660, 7195, 7498, 722, 1530, 2251, 4153, 4368, 5631, 6717, 8213, 518, 1284, 2415, 3941, 4352, 5221, 6897, 7920, 699, 2052, 2660, 3879, 5072, 5308, 7017, 7608, 654, 1326, 2181, 3955, 4980, 5792, 6265, 8080, 127, 1806, 3108, 3555, 5138, 6062, 6309, 7881, 240, 1684, 2943, 3967, 4896, 5778, 6241, 7591, 240, 1623, 3065, 3595, 4423, 5892, 6979, 7806, 240, 2017, 3110, 3723, 4888, 5378, 6972, 7976, 789, 1756, 2554, 4113, 5167, 5678, 6701, 7707, 915, 1528, 2473, 3407, 4704, 5795, 6589, 8262, 419, 1528, 2473, 3930, 5083, 5534, 7077, 8237, 256, 1750, 2806, 3932, 5165, 5556, 6589, 7876, 225, 2097, 2221, 3646, 4895, 5556, 6338, 8069, 987, 1234, 2725, 3832, 4925, 5755, 7246, 8227, 920, 1732, 2282, 3997, 4321, 6142, 6676, 8259, 737, 2055, 2132, 3446, 4734, 5689, 6383, 7800, 737, 1108, 2396, 3446, 4539, 5982, 6485, 7857, 536, 1510, 2482, 3446, 5114, 5889, 6485, 8165, 373, 1510, 2444, 3448, 4896, 5982, 6606, 7920, 390, 1510, 3008, 4026, 4379, 5303, 6650, 8165, 881, 1210, 2688, 3605, 4790, 6001, 6608, 7547, 458, 1510, 2848, 3979, 4321, 5668, 6412, 7743, 1060, 2009, 2693, 3421, 4855, 5745, 6911, 7551, 428, 1828, 2492, 3421, 5029, 5835, 7136, 8025, 835, 1828, 2757, 3979, 4842, 5934, 7212, 7462, 581, 2043, 2974, 3735, 4678, 5512, 7057, 8061, 302, 2036, 2693, 4037, 4738, 5891, 6874, 7879, 492, 1376, 2275, 3787, 5019, 5341, 6828, 7862, 492, 2043, 2256, 3835, 4557, 5341, 6529, 7821, 1025, 1716, 2173, 3937, 4604, 5989, 7073, 7303, 610, 1867, 2463, 3233, 4855, 5543, 6531, 8107, 826, 1141, 2721, 3787, 4756, 6028, 6308, 7574, 826, 1865, 2254, 3842, 4185, 5905, 6956, 7467, 993, 1199, 2798, 3950, 4385, 5658, 6719, 7869, 993, 1773, 2207, 3842, 4823, 5924, 6740, 7911, 1025, 1655, 2998, 3195, 4423, 5458, 6677, 7527, 1025, 1529, 2436, 4147, 4287, 5313, 6472, 7695, 1025, 1867, 2923, 3876, 4627, 5433, 6515, 7905, 1025, 1867, 2771, 4093, 4284, 5515, 6367, 7360, 993, 1535, 2658, 3727, 5176, 5880, 7131, 7622, 1029, 1960, 2311, 3656, 4330, 5592, 7141, 7827, 1070, 1318, 2311, 3609, 4643, 5970, 7047, 7378, 966, 1783, 2137, 3979, 4321, 5900, 6249, 7582, 737, 1157, 2431, 3394, 4333, 6135, 7200, 7576, 266, 2059, 2152, 3322, 5111, 5313, 6878, 7571, 150, 1820, 2642, 3709, 5124, 5899, 6466, 8131, 223, 1763, 2740, 3619, 4999, 5538, 6896, 8106, 1033, 1110, 2710, 3605, 5135, 6128, 6774, 7775, 304, 1812, 2741, 4087, 5018, 5532, 7019, 7965, 767, 1156, 3007, 3578, 4946, 6085, 6576, 7627, 1047, 1757, 2989, 3967, 4743, 6007, 6414, 7965, 1011, 1120, 2937, 3840, 4214, 6125, 7112, 8236, 304, 1175, 2353, 3478, 4773, 6096, 6657, 7676, 401, 1669, 2878, 4152, 4533, 5550, 6704, 7437, 216, 1992, 3006, 3901, 5166, 5687, 6302, 8083, 731, 1992, 3064, 4096, 4691, 6014, 7157, 8016, 216, 1234, 2946, 3616, 4700, 6171, 7114, 8213, 559, 1363, 2934, 3394, 4755, 6067, 7150, 7263, 234, 1550, 2865, 3500, 4467, 5594, 6756, 7900, 545, 1356, 2345, 3623, 4443, 5321, 6562, 7638, 545, 1234, 2346, 3356, 5152, 5315, 7065, 7442, 582, 1768, 3091, 4079, 4571, 5863, 6224, 7852, 807, 1140, 2456, 4102, 4539, 5976, 7002, 7488, 487, 1771, 2346, 3727, 4364, 6119, 6293, 7574, 487, 1233, 2282, 3785, 4604, 6086, 6403, 7633, 487, 1581, 3091, 3475, 4364, 5208, 7044, 8210, 397, 1808, 3091, 4073, 5114, 5729, 7162, 8043, 397, 1577, 2166, 3741, 4776, 5787, 7182, 7350, 356, 1140, 2946, 4162, 4848, 5276, 7129, 8250, 757, 1669, 2346, 3424, 4385, 5923, 6350, 8128, 231, 1669, 2316, 3943, 4945, 5531, 7215, 7427, 756, 1808, 2316, 3679, 4881, 5526, 7117, 7736, 678, 1550, 2741, 3515, 4364, 6142, 7100, 7744, 103, 2068, 2309, 3644, 4238, 5223, 6869, 8117, 571, 1562, 2316, 3771, 4555, 5650, 7084, 8092, 510, 1140, 2728, 3879, 4622, 5901, 6687, 8248, 488, 1623, 2803, 4018, 4387, 5832, 7201, 7303, 142, 1623, 2781, 3825, 5038, 6211, 7152, 8066, 818, 2017, 3110, 4145, 5080, 6211, 7152, 8066, 915, 1528, 3110, 3914, 5061, 5635, 6979, 8147, 859, 2127, 2349, 4071, 5038, 5436, 6612, 8261, 617, 1564, 2156, 3374, 4622, 5493, 6809, 7907, 617, 1750, 2775, 3420, 4890, 6086, 6412, 8227, 617, 2127, 2659, 3374, 5159, 5223, 7098, 7717, 617, 2127, 3144, 3605, 4555, 6189, 6772, 8236, 617, 1147, 2970, 3407, 4555, 5811, 6671, 7906, 105, 1304, 2454, 3592, 5159, 5385, 6762, 7715, 105, 1304, 2992, 3592, 4549, 6110, 6313, 8080, 105, 1876, 3097, 4005, 4775, 5385, 7103, 8093, 105, 1876, 2316, 4015, 4549, 5580, 7160, 7563, 105, 1147, 2839, 3239, 4555, 5689, 6752, 7723, 105, 1147, 3064, 4006, 4555, 5580, 6810, 7303, 4, 2 ]
[ 1, 33, 64, 66, 16, 53, 40, 66, 44, 55, 5, 31, 16, 5, 75, 14, 52, 77, 72, 5, 17, 75, 5, 31, 16, 5, 62, 48, 64, 16, 78, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5901, 6604, 8083, 789, 1623, 2941, 4174, 4870, 6211, 6604, 7557, 189, 1397, 2231, 3759, 4903, 5455, 6558, 7678, 98, 1695, 3116, 3986, 5110, 5898, 6682, 8026, 723, 1706, 2396, 3848, 4848, 5662, 6680, 7930, 991, 1695, 2692, 3997, 4833, 5558, 6328, 8254, 776, 1821, 2951, 3214, 4648, 5695, 7168, 7574, 715, 1460, 2724, 3662, 4792, 6170, 6663, 7666, 225, 1452, 2380, 4070, 4622, 5610, 7207, 7470, 225, 2060, 2341, 4143, 5007, 5660, 7006, 7973, 195, 1332, 2775, 3470, 4326, 5296, 7160, 7960, 654, 1345, 2904, 4096, 5075, 6065, 7024, 8073, 654, 2106, 2904, 3394, 5159, 5385, 7082, 8118, 240, 1756, 2473, 4137, 4877, 5413, 6291, 8130, 543, 1851, 2729, 3726, 4549, 5581, 6604, 7838, 488, 1622, 2875, 3586, 4214, 5514, 6671, 8080, 915, 1622, 2806, 3595, 4798, 6157, 6840, 7715, 419, 1528, 3065, 3893, 4888, 6110, 6604, 8237, 518, 1961, 2340, 3364, 4877, 5550, 6998, 7706, 317, 1945, 2172, 4078, 4935, 6157, 6606, 7745, 271, 1349, 2795, 3533, 4580, 5727, 6603, 7957, 635, 2114, 2797, 3158, 4875, 5659, 6571, 7554, 1024, 1435, 2429, 3828, 4424, 5358, 7185, 8041, 980, 1644, 2533, 3917, 4807, 5500, 6809, 8215, 424, 1978, 2440, 3866, 5080, 5660, 7218, 7648, 391, 1797, 2946, 4162, 4635, 5481, 6734, 7545, 831, 1369, 2440, 3298, 4849, 5658, 6693, 7939, 725, 1581, 2709, 3472, 4954, 5425, 6226, 8234, 491, 1527, 3049, 4008, 4802, 5325, 6269, 8207, 396, 1202, 2487, 3525, 4384, 5751, 6883, 7929, 491, 1276, 2887, 3751, 4604, 5827, 6663, 8082, 672, 1706, 3086, 3785, 4539, 5745, 6908, 7298, 881, 1164, 2751, 4084, 4352, 6167, 7125, 7873, 480, 1942, 2480, 3225, 4321, 5827, 6483, 7797, 487, 1324, 2601, 3555, 4593, 5479, 6614, 7984, 103, 1830, 2642, 3225, 4539, 6122, 6414, 7250, 356, 1369, 2138, 3210, 4351, 5325, 6609, 8240, 807, 1881, 3116, 3770, 4343, 5224, 6615, 8150, 722, 1164, 2345, 3741, 4755, 5734, 6286, 7490, 1059, 1942, 2543, 3178, 4298, 5474, 6349, 8150, 807, 2067, 2543, 3456, 4298, 5810, 6251, 7789, 722, 1164, 2751, 3241, 4887, 6167, 6625, 8073, 536, 1706, 3039, 3741, 4881, 5757, 6614, 7559, 487, 1212, 2678, 3787, 4604, 5523, 7106, 7841, 887, 1581, 2268, 3792, 4365, 5765, 7017, 7578, 850, 1676, 2563, 3537, 4461, 5797, 6856, 8070, 826, 1676, 2891, 3259, 4455, 5512, 6898, 7787, 104, 1881, 2391, 3593, 4337, 5512, 7244, 7660, 1025, 1399, 2436, 3822, 4437, 5260, 6684, 7959, 831, 1581, 2946, 4101, 4993, 5606, 6777, 7941, 663, 1577, 2946, 3889, 4374, 5761, 6536, 7570, 308, 1175, 2515, 3917, 4844, 5771, 6967, 7574, 1037, 1956, 2766, 4143, 4533, 5534, 6540, 7818, 708, 1972, 3026, 3187, 4983, 5581, 6832, 8188, 668, 1171, 2361, 3656, 4800, 5793, 6614, 8041, 665, 1116, 3130, 4037, 4992, 6106, 7099, 8158, 547, 1275, 2536, 3475, 5064, 5390, 6894, 7828, 923, 1560, 2868, 3315, 5085, 5933, 6954, 8188, 440, 1933, 3112, 3692, 4748, 5614, 6258, 7918, 440, 1146, 2340, 3916, 4949, 6007, 6287, 7677, 440, 2021, 2793, 3430, 4771, 5998, 7168, 8188, 440, 1629, 2960, 3932, 4337, 5714, 6607, 7811, 572, 1560, 2868, 3710, 4437, 5863, 6607, 7805, 113, 2059, 2498, 3474, 5091, 6048, 6637, 8032, 875, 2059, 2456, 3652, 4199, 5782, 6885, 8013, 768, 2060, 3130, 3174, 4735, 5894, 6943, 7708, 866, 1966, 3030, 3835, 4739, 5480, 7200, 7930, 966, 1346, 2243, 3714, 4818, 5619, 7178, 7483, 683, 1828, 2647, 3531, 4959, 5387, 6799, 8170, 459, 1828, 2143, 3981, 4460, 5768, 6403, 8015, 113, 1703, 3130, 3356, 4279, 5305, 6506, 7516, 247, 1828, 2689, 3356, 4662, 5557, 6588, 8195, 407, 1938, 2474, 3936, 4205, 5443, 7068, 8104, 693, 1938, 2516, 3472, 4364, 5440, 6598, 7592, 641, 1732, 2381, 4137, 4813, 5835, 6240, 7333, 831, 1806, 2365, 3720, 4764, 5390, 7157, 7312, 610, 1635, 2383, 3785, 4359, 5657, 6923, 7822, 582, 1586, 2728, 3871, 4983, 5810, 7232, 7936, 831, 1388, 2918, 3967, 4804, 5899, 7043, 7490, 610, 1821, 2923, 3919, 4297, 6200, 7218, 7724, 104, 2059, 2797, 3838, 5159, 5677, 6976, 8179, 391, 1322, 2639, 3600, 4928, 5523, 6465, 7899, 104, 1463, 2747, 3884, 4559, 5681, 6269, 7917, 826, 1833, 2923, 3229, 5040, 5707, 6262, 7704, 104, 1660, 2506, 3556, 4929, 5810, 6708, 7827, 569, 1867, 2695, 3967, 5074, 5399, 6453, 8137, 113, 1873, 2695, 3239, 5164, 5341, 6784, 7966, 778, 1582, 2708, 3283, 4333, 5344, 6264, 7463, 641, 1463, 2727, 3283, 4995, 5656, 6899, 7578, 776, 1141, 2695, 4067, 4687, 5656, 6974, 7578, 779, 1963, 2144, 3994, 4276, 5641, 6903, 8188, 308, 1202, 2940, 3352, 4437, 6171, 6844, 7494, 833, 1752, 2542, 3916, 4691, 5250, 6486, 7936, 804, 1370, 2542, 3183, 4592, 5892, 6750, 7677, 868, 1943, 2720, 3866, 5145, 5954, 7244, 8103, 840, 1299, 2536, 3452, 5023, 5844, 6680, 7769, 299, 1531, 2751, 3843, 4702, 5391, 6978, 8069, 1062, 1239, 2868, 3210, 5142, 5843, 7081, 7997, 1099, 1407, 2944, 3692, 5115, 5641, 6755, 7384, 488, 1945, 3128, 4011, 4179, 5210, 7239, 7260, 818, 1998, 3135, 3440, 4551, 6085, 7058, 7806, 818, 1998, 3128, 4150, 5080, 6211, 7218, 7876, 914, 1705, 2677, 4071, 4980, 6195, 7239, 8223, 510, 1791, 3008, 4114, 4822, 5219, 7023, 7641, 1099, 1791, 3006, 3866, 4366, 5216, 7084, 8083, 120, 1496, 2717, 3182, 4596, 5594, 6949, 7488, 617, 1918, 2729, 4089, 4586, 5340, 7162, 7908, 1033, 1773, 2315, 3782, 4622, 5590, 6646, 8149, 986, 1563, 2661, 4096, 4901, 5512, 6442, 8073, 299, 1550, 2751, 3799, 4308, 5366, 6409, 7939, 104, 1550, 2288, 3395, 4948, 6002, 7094, 7250, 610, 1942, 2946, 3756, 5139, 6154, 7218, 7476, 831, 1397, 2515, 4103, 5115, 5589, 6238, 8111, 715, 1577, 2767, 3726, 4666, 5764, 6876, 7745, 756, 1876, 2826, 4089, 4189, 5935, 6365, 8179, 568, 2090, 3035, 3811, 4437, 6110, 6668, 8006, 568, 1885, 3141, 3653, 4344, 5638, 6238, 7577, 518, 1147, 2239, 3205, 4638, 5695, 6371, 7754, 225, 1452, 2621, 3815, 4877, 5730, 6878, 7698, 568, 1935, 2332, 3983, 4863, 5223, 6377, 8010, 757, 1684, 2542, 3292, 5079, 5292, 6767, 7960, 1037, 2127, 2656, 3737, 4954, 5968, 6998, 7707, 390, 1684, 3053, 3770, 4267, 5979, 6642, 8041, 1033, 1202, 2728, 3417, 5165, 5737, 6540, 7448, 825, 1118, 2282, 4031, 4437, 5787, 6600, 7905, 1040, 1397, 2990, 3623, 5144, 5874, 6606, 7311, 672, 1570, 2332, 3394, 4444, 5706, 6625, 8000, 1040, 1832, 2751, 3943, 4306, 5544, 6706, 7256, 988, 1541, 2282, 4079, 5188, 5757, 6550, 7707, 839, 1472, 2867, 3212, 4189, 6132, 7198, 8081, 902, 1832, 2156, 3936, 4335, 6201, 6812, 8083, 927, 1252, 2561, 4031, 4501, 6118, 6903, 7411, 1014, 1826, 2955, 3798, 4665, 5325, 7058, 7386, 228, 1963, 3053, 4089, 4715, 5677, 6787, 7702, 225, 1853, 2544, 3376, 4825, 6034, 6348, 7488, 568, 1120, 2359, 3623, 5165, 5962, 6668, 7939, 859, 1684, 3133, 3227, 4513, 5527, 7114, 7906, 956, 2097, 2833, 3188, 5135, 5968, 6988, 7574, 1097, 2111, 2925, 3516, 5079, 6081, 6677, 7260, 555, 2046, 3064, 3226, 4782, 6129, 6612, 8083, 105, 1695, 2792, 3904, 4374, 6182, 6612, 8236, 859, 2002, 2970, 3770, 5166, 6063, 7120, 7715, 617, 1695, 2781, 4092, 5159, 5981, 6584, 8262, 617, 2106, 2833, 4068, 4512, 5385, 7098, 8061, 617, 1468, 2833, 4153, 4622, 6137, 6313, 8185, 617, 1750, 2138, 3891, 4555, 5550, 7207, 8130, 617, 2106, 2858, 4068, 4555, 6101, 7232, 7716, 617, 1468, 3021, 4153, 4512, 6076, 6529, 7476, 617, 1750, 2833, 4092, 4512, 5548, 6988, 8262, 105, 1684, 3021, 3550, 4512, 5515, 6772, 7831, 105, 1684, 2340, 3391, 4555, 5548, 6717, 8076, 617, 1289, 2833, 3564, 4555, 5844, 6740, 8080, 105, 1684, 2340, 3391, 4555, 5385, 6810, 7804, 617, 1750, 2858, 3827, 4762, 5385, 6752, 8237, 617, 1684, 2775, 4166, 4387, 5241, 6840, 8080, 4, 2 ]
[ 1, 28, 44, 64, 26, 30, 78, 5, 20, 52, 5, 31, 45, 64, 5, 5, 5, 31, 33, 63, 5, 76, 11, 78, 5, 16, 5, 75, 14, 64, 66, 5, 51, 76, 11, 54, 66, 16, 66, 47, 5, 17, 75, 5, 64, 11, 52, 16, 30, 5, 42, 57, 52, 30, 5, 20, 63, 54, 16, 53, 16, 54, 66, 64, 3, 860, 2017, 3117, 3803, 4704, 5612, 6515, 8147, 308, 1981, 3064, 4114, 4966, 6103, 6979, 7485, 1033, 1562, 2709, 4085, 5139, 5694, 7162, 7959, 840, 2002, 2564, 3822, 4225, 5745, 6413, 8194, 535, 1806, 2787, 3159, 5001, 5656, 6478, 7435, 807, 1561, 2553, 3764, 4717, 5578, 7035, 8048, 920, 1561, 2128, 3943, 4604, 5425, 6313, 7952, 309, 1606, 2701, 4033, 5179, 5574, 7072, 7501, 699, 1403, 2683, 4132, 4981, 5276, 6452, 7538, 195, 1311, 2341, 3580, 5115, 5993, 6575, 8206, 518, 1853, 3064, 3915, 4351, 5689, 6256, 8179, 518, 1961, 3064, 4174, 4870, 6110, 6898, 7855, 518, 1961, 3131, 3623, 4849, 6076, 6333, 7717, 518, 2068, 2935, 3723, 4423, 5624, 6589, 8237, 568, 2111, 2754, 3245, 4592, 6120, 7079, 7547, 942, 1241, 2953, 4098, 4573, 5590, 7010, 7960, 249, 1496, 2247, 3474, 4443, 5526, 7188, 8188, 584, 1543, 3137, 3252, 4729, 5787, 7048, 7441, 632, 1199, 3088, 3624, 4776, 5358, 6986, 7810, 584, 2091, 2173, 4075, 4776, 5617, 6838, 7931, 1050, 1972, 2233, 3727, 4239, 6135, 6599, 8021, 584, 1723, 2299, 3356, 4593, 5919, 6403, 7341, 640, 1151, 3040, 4051, 4413, 5518, 6847, 7652, 966, 1509, 2961, 3401, 4927, 5624, 6389, 8091, 810, 2090, 2758, 3394, 4273, 5624, 7020, 8133, 930, 1605, 2585, 4127, 4344, 5859, 6706, 7442, 930, 2058, 2954, 4128, 4320, 5341, 6832, 8052, 1006, 1550, 2656, 3788, 5069, 5671, 7140, 7964, 582, 2034, 2578, 3443, 4993, 5870, 7165, 7429, 487, 1755, 2380, 3894, 4763, 5843, 7183, 7304, 767, 1286, 2321, 3662, 4343, 5865, 6466, 7918, 512, 1508, 2167, 3838, 5104, 5890, 6604, 7949, 654, 1820, 2960, 3517, 4447, 5515, 6287, 7727, 225, 2069, 2566, 3623, 4925, 5898, 6671, 8099, 115, 1749, 2461, 3575, 4882, 5834, 7219, 8045, 271, 1283, 2614, 4151, 4915, 6142, 6605, 7429, 728, 1865, 2629, 4066, 4929, 5384, 7085, 8254, 360, 1269, 2911, 4066, 5124, 5387, 6502, 7889, 1009, 1205, 3103, 3808, 4664, 5297, 6469, 7274, 864, 1205, 2367, 3239, 4208, 5382, 7200, 7545, 938, 1469, 2509, 3417, 4545, 5269, 7078, 8123, 271, 2050, 2705, 4137, 4848, 5991, 7146, 7912, 1029, 1469, 2152, 3221, 4511, 5656, 6692, 7703, 1067, 1469, 2631, 4137, 4298, 5823, 6423, 7813, 150, 1284, 3040, 3520, 4518, 6118, 7123, 7318, 386, 1469, 3014, 4043, 5151, 5867, 6883, 7802, 271, 2066, 2198, 3785, 4208, 5223, 6466, 8110, 504, 1469, 2887, 3925, 4872, 6118, 6883, 7904, 386, 1469, 3070, 3764, 4494, 6174, 6262, 8131, 271, 1469, 2439, 3785, 4915, 5574, 6224, 7458, 150, 1469, 2628, 3863, 4474, 5656, 7041, 7405, 610, 1179, 3126, 3557, 4688, 6107, 6901, 7748, 288, 1265, 2932, 3994, 4900, 5567, 6870, 8014, 684, 1620, 3001, 3912, 4781, 6160, 6694, 7641, 405, 1906, 3110, 4085, 4589, 6205, 7229, 7563, 959, 2046, 3007, 3540, 5159, 5219, 7218, 7807, 1062, 1299, 2369, 3741, 5164, 5289, 6663, 7683, 536, 1507, 2727, 4096, 4954, 5512, 6848, 7677, 840, 1283, 2495, 4074, 4804, 5308, 6692, 8269, 884, 1732, 2987, 3340, 4927, 6220, 6224, 7677, 725, 1434, 2610, 3543, 4752, 6213, 6478, 7429, 759, 1771, 3013, 3756, 4476, 5616, 6906, 7870, 981, 1402, 2692, 3973, 5115, 5608, 7198, 7966, 1047, 1356, 2629, 3309, 5058, 6203, 7220, 7955, 216, 1363, 2871, 4106, 5134, 5824, 7018, 8178, 401, 2127, 2659, 3886, 4611, 5719, 7246, 7764, 256, 1206, 2316, 3857, 4859, 6063, 6614, 7920, 225, 1945, 2669, 3754, 4604, 5765, 7197, 7420, 518, 1596, 2151, 3671, 5193, 5594, 7132, 8099, 518, 1424, 2542, 3376, 5151, 5514, 6504, 8083, 518, 2127, 2659, 3391, 5007, 5624, 6809, 7723, 228, 2106, 2669, 3891, 4601, 5624, 6333, 7920, 518, 1750, 3002, 3623, 5160, 5493, 7024, 7843, 518, 2061, 2775, 3178, 5151, 5840, 7207, 7509, 518, 1935, 2469, 3364, 4344, 5413, 6988, 7904, 518, 2118, 3064, 3350, 4611, 5624, 6895, 8066, 518, 1826, 2221, 3838, 4344, 5550, 7160, 7706, 256, 2127, 3040, 3838, 4344, 5514, 7129, 7706, 256, 1756, 2959, 4174, 4985, 6149, 7024, 7732, 256, 2111, 2880, 3376, 5160, 6175, 6988, 8261, 617, 1424, 2542, 3376, 5138, 5963, 7207, 8126, 555, 2111, 3021, 3470, 4985, 5205, 6612, 7664, 488, 2111, 2806, 3595, 4704, 5635, 7120, 8196, 488, 1622, 3065, 3825, 4704, 6139, 7207, 8196, 488, 2017, 3065, 3893, 4704, 6139, 7077, 8196, 488, 1528, 3065, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6081, 7124, 7766, 915, 1648, 2164, 3893, 4555, 5635, 7124, 7766, 555, 1467, 2960, 3226, 4555, 6211, 7124, 8267, 955, 1668, 2957, 3945, 4589, 5678, 6668, 7948, 1033, 1797, 2803, 4085, 5088, 5534, 7218, 8080, 1033, 1700, 2340, 3929, 4374, 5436, 6938, 7641, 786, 1803, 2207, 3372, 4478, 6041, 6373, 7590, 499, 1555, 2335, 3306, 4191, 6169, 7169, 7649, 988, 1437, 2436, 3824, 4205, 5212, 6632, 7804, 998, 1510, 2346, 3504, 4368, 5454, 6280, 8129, 998, 2059, 2436, 3504, 4800, 5665, 7187, 8228, 104, 1523, 2661, 3171, 4248, 6217, 6769, 8214, 104, 1877, 2782, 3218, 4292, 6117, 7163, 7963, 104, 1146, 2581, 4105, 5148, 5942, 6925, 7288, 1025, 1674, 2993, 3581, 4785, 5971, 6533, 8104, 150, 1623, 2456, 3667, 4350, 5403, 6663, 8150, 895, 1582, 2902, 3153, 5018, 5640, 6739, 7288, 936, 1740, 2940, 3937, 5109, 5800, 6870, 7594, 535, 1141, 2429, 3258, 4321, 6077, 7002, 7756, 902, 1509, 2751, 3991, 4308, 5765, 7181, 7888, 143, 1139, 2598, 3245, 4974, 5695, 6861, 7739, 518, 1171, 3018, 4047, 4530, 6085, 6715, 7402, 518, 1524, 3130, 3955, 4601, 6120, 6486, 7865, 518, 1460, 2554, 3487, 5019, 6110, 7152, 8170, 708, 1525, 2940, 3838, 5167, 5549, 6765, 7369, 113, 1455, 2429, 3859, 5129, 6120, 6895, 7437, 875, 1924, 2436, 3456, 4683, 5310, 6485, 7534, 635, 1108, 2486, 4008, 4565, 5810, 6371, 7990, 668, 1582, 2218, 3841, 5001, 5745, 6413, 7480, 404, 1199, 2515, 3750, 4508, 5512, 6409, 8177, 776, 1560, 2515, 3566, 4604, 6217, 6925, 8165, 804, 1441, 2391, 3866, 4994, 6003, 7162, 8195, 833, 1146, 2542, 3440, 5088, 5788, 7114, 7707, 1037, 2063, 2991, 3671, 4529, 5904, 6967, 7715, 899, 1803, 2783, 3914, 4983, 5573, 6776, 7256, 804, 1933, 2542, 3226, 4630, 6128, 6988, 7677, 756, 1597, 3053, 3330, 4797, 5810, 7232, 7582, 804, 1724, 3053, 3904, 5183, 5761, 7239, 7720, 756, 1597, 2582, 4128, 5080, 5482, 6308, 7748, 1037, 1560, 2936, 4151, 5159, 5573, 6810, 8236, 256, 1918, 2754, 3870, 4933, 6077, 6474, 8066, 715, 1560, 2729, 3918, 4459, 5840, 7165, 7557, 756, 1773, 2957, 3982, 4398, 5840, 7201, 7846, 715, 2063, 2473, 4145, 4555, 5515, 6646, 7904, 708, 2001, 3076, 3573, 5000, 5641, 7100, 7256, 440, 1724, 2675, 4145, 4519, 5874, 6627, 8132, 115, 1991, 2340, 3956, 4481, 5246, 7061, 7844, 1062, 1681, 3026, 3472, 4412, 5273, 6238, 7918, 492, 1681, 2282, 3692, 5171, 5566, 6480, 8094, 768, 1296, 2282, 3356, 4669, 6141, 6768, 8075, 835, 1435, 3085, 3727, 4525, 6174, 6969, 8131, 428, 2036, 2728, 3923, 4729, 6145, 6373, 7405, 840, 2101, 2626, 3227, 4389, 5957, 6711, 8149, 884, 1812, 2626, 3295, 4612, 5858, 6224, 8255, 249, 1826, 2577, 3332, 4370, 5205, 7125, 7930, 725, 1605, 2871, 3639, 4326, 5226, 6822, 7611, 504, 1305, 3091, 3413, 4758, 5334, 7057, 8193, 160, 2118, 2956, 3510, 4721, 6194, 6978, 7248, 448, 1754, 2459, 3356, 4646, 5385, 7198, 7879, 448, 1421, 2555, 3882, 4828, 5503, 6962, 7426, 405, 1946, 2913, 3789, 4337, 6205, 6891, 8016, 225, 1340, 2775, 4128, 4844, 5629, 6491, 7291, 225, 2060, 2775, 4111, 4236, 5923, 7069, 7303, 228, 1264, 2454, 3896, 4181, 5678, 6895, 8150, 228, 2127, 2946, 4125, 5135, 5962, 7160, 7919, 240, 1756, 2946, 3599, 4916, 5548, 6844, 8236, 789, 1876, 2221, 4103, 5142, 5241, 6338, 7477, 789, 1756, 3021, 3391, 4622, 6175, 6840, 7477, 789, 1876, 3062, 3391, 5159, 5296, 6996, 7716, 488, 1876, 2806, 3595, 4423, 6186, 6996, 7717, 818, 1622, 2164, 4174, 4624, 6081, 6589, 8223, 935, 1648, 2957, 3893, 5061, 5677, 6988, 8196, 100, 1585, 2398, 4073, 4782, 5536, 6396, 7376, 100, 2024, 3046, 3255, 4717, 5640, 6338, 7767, 579, 1179, 2925, 3592, 4558, 5893, 6792, 7383, 317, 1468, 2669, 3799, 4289, 6048, 6893, 7560, 304, 1623, 2820, 3470, 4374, 6146, 6846, 7421, 223, 1721, 2567, 3885, 5137, 5437, 7224, 8064, 150, 1408, 3020, 3907, 4513, 5798, 6472, 7630, 428, 1948, 2357, 3251, 4494, 6040, 7115, 7419, 492, 1708, 2849, 3527, 4497, 5454, 6782, 7667, 536, 1674, 2680, 4075, 4242, 6002, 6648, 7747, 840, 1955, 2142, 3619, 5121, 5512, 6723, 7904, 535, 1865, 2173, 3776, 4794, 5349, 6224, 7596, 884, 2009, 3138, 3771, 4196, 5585, 7093, 7793, 895, 2084, 2866, 4154, 5031, 5485, 6461, 7250, 887, 1462, 2905, 3171, 4364, 6104, 6373, 8170, 150, 1717, 2905, 3642, 4565, 5614, 6614, 7539, 650, 1930, 2241, 3233, 4433, 5873, 7181, 7776, 1057, 1966, 2652, 3967, 4604, 5344, 7086, 7681, 113, 1915, 2716, 3967, 5193, 5730, 6741, 7458, 1057, 1821, 2389, 3233, 4441, 5643, 7064, 7869, 1057, 1809, 2659, 3472, 4604, 5715, 6771, 8004, 1102, 1930, 3064, 3680, 5165, 5385, 7063, 7844, 103, 2107, 2455, 3754, 4604, 5981, 6270, 7549, 288, 1906, 2440, 3543, 4814, 5661, 7047, 8064, 308, 1876, 3110, 3994, 5165, 5210, 7084, 7811, 756, 2098, 2895, 3692, 4822, 5800, 6589, 8016, 405, 1320, 2980, 3987, 5079, 6117, 6905, 7753, 582, 1485, 2327, 3964, 5145, 5243, 6884, 7492, 487, 1306, 2751, 3201, 5097, 5733, 6924, 7815, 487, 1306, 2751, 3631, 4825, 6154, 6234, 8047, 443, 1550, 2751, 3968, 4636, 5936, 6870, 7539, 1040, 1806, 2751, 3560, 4288, 6062, 6746, 7966, 902, 1806, 2751, 3496, 4330, 5587, 7229, 8049, 137, 1808, 2436, 3603, 4288, 5831, 7141, 7627, 876, 1472, 2655, 3358, 5097, 6022, 7229, 8128, 992, 1453, 3029, 3635, 4298, 5930, 7175, 7436, 91, 1978, 2627, 3751, 5120, 6062, 6234, 8151, 510, 1675, 3007, 3918, 4671, 5968, 6515, 7311, 440, 2063, 2254, 3364, 4895, 5730, 7053, 7952, 789, 1525, 2582, 3819, 5098, 5830, 7129, 8161, 568, 1851, 2809, 3879, 4670, 5536, 7129, 7648, 568, 2060, 2788, 3932, 5049, 5643, 7218, 7675, 518, 2002, 2788, 3352, 4411, 5981, 7132, 7960, 225, 1597, 2250, 3348, 5083, 5485, 6958, 7717, 225, 1851, 3141, 3914, 4566, 5957, 7103, 7876, 228, 1876, 2542, 3413, 4877, 5519, 6996, 7716, 518, 1524, 2775, 3838, 4993, 5998, 7129, 7868, 127, 1176, 2852, 3171, 4622, 5797, 6757, 7831, 228, 1851, 3131, 3838, 4486, 5580, 7091, 8130, 654, 1826, 2473, 3827, 4622, 5241, 7091, 8262, 240, 2002, 3139, 3595, 4844, 6157, 6677, 7677, 183, 2061, 2473, 3874, 4870, 6149, 7118, 7473, 617, 2061, 2251, 3720, 4877, 5832, 7162, 7303, 223, 1490, 2293, 4145, 4720, 5498, 7230, 7946, 492, 1704, 3137, 3371, 4852, 5907, 7136, 7741, 363, 1199, 2521, 4079, 4707, 5288, 6637, 7973, 840, 2050, 2233, 3610, 4497, 5512, 7194, 8127, 428, 1630, 2173, 3847, 5177, 5408, 6907, 7513, 1067, 1334, 2842, 3791, 4722, 5315, 6426, 7739, 271, 1469, 2240, 3781, 4810, 5876, 6224, 8062, 271, 2050, 2956, 3203, 5151, 5756, 6656, 7865, 895, 1543, 2165, 3156, 5031, 5813, 6547, 7924, 150, 2008, 2224, 3391, 4900, 5813, 6476, 7360, 1029, 1469, 3066, 3395, 4420, 6052, 6580, 7980, 104, 1167, 2173, 3153, 4328, 6052, 7085, 8085, 299, 1440, 2173, 3709, 5176, 5668, 6703, 8157, 1101, 1630, 2455, 4101, 4928, 5223, 6952, 7740, 884, 1299, 2766, 3623, 4612, 5325, 6934, 7768, 918, 1496, 3047, 3623, 4805, 5505, 6485, 7675, 1101, 1393, 2871, 4072, 4459, 5588, 7115, 7383, 884, 1915, 2951, 3623, 4604, 5344, 6765, 8086, 575, 2079, 3003, 3356, 4784, 5752, 7229, 8262, 308, 1296, 2486, 3962, 4918, 5631, 6612, 7898, 211, 1826, 2738, 4170, 4918, 5612, 6755, 8080, 684, 2046, 2946, 3426, 4980, 6146, 7048, 7919, 390, 2079, 2238, 3680, 5129, 5963, 7207, 7256, 1056, 2125, 3095, 3645, 5166, 5661, 7084, 8076, 684, 1791, 2838, 3918, 4822, 6103, 7010, 7421, 390, 2063, 3135, 3886, 4551, 6063, 7077, 7723, 308, 1218, 2838, 3983, 5166, 5883, 6979, 8185, 779, 1963, 3128, 3671, 4551, 6123, 7218, 7887, 707, 1931, 2720, 3430, 4344, 5840, 6599, 7445, 1025, 1467, 2389, 4103, 4219, 5346, 6340, 7557, 443, 1655, 2677, 3427, 4664, 5940, 6405, 7367, 876, 2050, 2743, 3410, 4492, 5898, 6674, 7777, 1008, 1205, 2642, 3351, 5019, 5828, 7221, 8005, 344, 1469, 2464, 3537, 4618, 5596, 6426, 8234, 1025, 1542, 2839, 4133, 4542, 5717, 7142, 7405, 1025, 1469, 3032, 3192, 4321, 5710, 6640, 7817, 1025, 1469, 3032, 3404, 4969, 5325, 7063, 7990, 271, 1469, 2312, 3788, 4759, 5584, 6409, 7813, 271, 1469, 2312, 3252, 4618, 5325, 6359, 7437, 271, 1469, 2312, 3252, 4969, 6144, 6680, 7704, 271, 1469, 2312, 3252, 4969, 6144, 6680, 7875, 271, 1469, 2728, 3192, 4924, 6125, 7035, 7962, 104, 1469, 2766, 4138, 4924, 6107, 6997, 7959, 104, 1185, 2381, 3808, 4501, 5527, 6461, 7536, 104, 1345, 2381, 3868, 4470, 5810, 6706, 7955, 1090, 2084, 2536, 3351, 5196, 5364, 6393, 8105, 1090, 1685, 2144, 3263, 4334, 6031, 6774, 7584, 610, 1958, 2846, 4124, 4589, 5802, 6991, 7644, 826, 1740, 2688, 3669, 4321, 5576, 7051, 7902, 1008, 2053, 2667, 3878, 4617, 5970, 7169, 7439, 961, 1369, 2944, 3975, 4672, 5878, 6940, 7758, 641, 1674, 2374, 3909, 4792, 5905, 6426, 7679, 895, 1674, 2888, 3243, 4760, 5789, 6524, 7457, 1067, 1674, 3034, 3685, 4441, 5325, 6382, 7286, 778, 1800, 2822, 3649, 5030, 5985, 6504, 7817, 104, 1669, 2506, 4024, 4891, 5254, 7059, 7989, 826, 1805, 2660, 3539, 4661, 5591, 6957, 7724, 880, 1931, 2173, 3256, 5194, 5464, 6697, 7831, 569, 1185, 3145, 3632, 4483, 5757, 6635, 7462, 335, 1402, 2897, 4167, 4506, 5932, 6784, 8040, 408, 2024, 2429, 3502, 5084, 6084, 6476, 7937, 391, 1557, 2187, 3929, 4483, 6002, 6337, 7971, 104, 1918, 2375, 3643, 5090, 6002, 6579, 8058, 535, 1141, 3029, 4091, 4485, 6055, 6480, 7842, 880, 1828, 2850, 3295, 5020, 5260, 7181, 7376, 424, 1931, 2330, 3904, 4592, 6123, 6467, 7966, 391, 1561, 2389, 3233, 4212, 5457, 6614, 7808, 850, 1932, 2142, 3232, 4586, 5438, 6391, 7570, 778, 1876, 2709, 3776, 4561, 6213, 6605, 7962, 880, 1865, 2629, 3177, 5018, 5341, 6237, 8079, 862, 1826, 2850, 3613, 5006, 5251, 6411, 7987, 639, 1139, 3074, 3895, 4333, 5464, 6573, 8151, 1003, 2095, 2188, 4079, 4833, 5478, 7232, 8079, 610, 1834, 3020, 3484, 4364, 5793, 6478, 8198, 731, 1350, 2661, 3892, 4536, 5599, 7114, 7598, 980, 1299, 2365, 3642, 5125, 5953, 7058, 7774, 940, 2012, 2258, 3695, 5127, 6074, 6768, 7574, 127, 1971, 2250, 3562, 5139, 5795, 6770, 7563, 195, 1707, 3091, 3770, 5052, 6204, 6748, 8040, 127, 1826, 2221, 3819, 5089, 5981, 6677, 8163, 654, 1826, 2355, 3873, 4576, 5942, 6844, 8203, 654, 1826, 2839, 3723, 4983, 5514, 6724, 7677, 518, 2127, 3040, 3838, 5007, 5219, 6988, 8267, 518, 1645, 3040, 4006, 4844, 5844, 6752, 7557, 256, 1345, 2959, 3623, 5168, 6110, 6478, 8143, 419, 1304, 2725, 3891, 4836, 6157, 7232, 7557, 555, 2111, 3064, 3595, 4859, 5677, 6889, 7557, 488, 1528, 3117, 3595, 4870, 5515, 7077, 8061, 915, 1961, 2806, 3914, 5159, 6182, 6612, 7715, 915, 1622, 2164, 3595, 4877, 5241, 7232, 7557, 105, 1750, 2669, 4006, 4512, 5767, 6604, 7677, 105, 2106, 3147, 3550, 4536, 6137, 6688, 7831, 915, 1752, 2806, 3825, 4704, 5241, 7152, 8147, 1002, 2032, 2729, 3803, 4704, 5963, 7019, 8147, 945, 1528, 3065, 3825, 4624, 5241, 6794, 7766, 142, 2017, 2914, 3825, 4798, 6081, 6794, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7226, 7766, 142, 1622, 2914, 3893, 4798, 6186, 6794, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1622, 2164, 3825, 4798, 6186, 7226, 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, 64, 66, 14, 54, 30, 5, 76, 33, 63, 5, 77, 73, 5, 11, 63, 5, 5, 5, 52, 48, 5, 76, 20, 55, 5, 64, 54, 14, 62, 66, 5, 5, 3, 654, 1935, 2669, 3681, 4486, 5704, 7160, 7716, 240, 1556, 2792, 3595, 4860, 5580, 6688, 7570, 789, 2127, 2424, 3595, 4888, 5963, 6607, 7717, 915, 1961, 2729, 4174, 4704, 5514, 6988, 8147, 915, 2017, 2806, 3825, 4555, 5677, 6996, 7715, 915, 1622, 2914, 4174, 4798, 5677, 7124, 7715, 475, 1304, 2709, 4174, 4387, 5963, 7077, 7876, 901, 1623, 2991, 4078, 5053, 5332, 7103, 7476, 582, 1794, 2146, 3957, 4955, 6048, 6919, 7750, 416, 1640, 2951, 3775, 4629, 6050, 7136, 7678, 96, 1323, 2605, 3518, 4535, 6080, 6447, 8050, 835, 1971, 2329, 4162, 4818, 5560, 7200, 7796, 1031, 1631, 2355, 3496, 4485, 5631, 6705, 7391, 810, 1349, 3079, 3348, 4800, 5824, 7243, 8263, 179, 1971, 2873, 3495, 4535, 5256, 7181, 8018, 1070, 1450, 2950, 3757, 4413, 6117, 6573, 7736, 452, 1450, 2198, 3874, 4413, 5400, 7097, 7401, 452, 1387, 2625, 3874, 4911, 5531, 6901, 7492, 930, 1471, 2827, 3795, 4832, 5792, 6576, 8190, 662, 1639, 2300, 3703, 4285, 5699, 6749, 7975, 1084, 1938, 2441, 3795, 5074, 6168, 6732, 7907, 391, 1496, 3056, 4153, 4816, 5717, 7004, 7800, 850, 1538, 2729, 4061, 4651, 5704, 7207, 7529, 424, 1410, 2871, 3771, 4372, 5641, 7033, 7393, 391, 1518, 2429, 3530, 4372, 5890, 6393, 8037, 1003, 1271, 2429, 4004, 4966, 5641, 7199, 7410, 778, 1141, 3036, 4004, 5073, 5616, 6915, 7678, 663, 1507, 2737, 3937, 4801, 6204, 6810, 7557, 1047, 1145, 3064, 3292, 4383, 5910, 7181, 8130, 371, 2046, 2210, 3760, 5164, 5717, 6361, 8252, 235, 1434, 3056, 3325, 4374, 6129, 6478, 7371, 961, 2028, 3049, 4081, 4895, 5235, 7119, 8178, 235, 1962, 2869, 3498, 5044, 5689, 6558, 7672, 371, 1410, 2137, 3960, 5090, 6064, 6849, 7853, 736, 1490, 2137, 3874, 5191, 5712, 7215, 7669, 1060, 1470, 2453, 3793, 4320, 6181, 6706, 8037, 888, 1627, 2587, 3268, 4413, 5367, 6802, 7744, 458, 1570, 2646, 3651, 5148, 5978, 6690, 8188, 1074, 1286, 2565, 3437, 4275, 6154, 6464, 7665, 397, 1512, 2503, 3274, 4807, 5716, 6724, 7965, 757, 1906, 2432, 3911, 4383, 5546, 6684, 7394, 722, 1550, 2646, 3586, 4635, 6097, 7202, 7707, 722, 1858, 2883, 3513, 4335, 5926, 7197, 7547, 722, 1550, 2940, 3192, 4816, 5407, 7065, 7474, 582, 1252, 2530, 3709, 4800, 5802, 7114, 8080, 639, 1442, 3091, 3363, 4399, 6132, 7089, 8248, 1065, 1498, 2808, 3796, 4839, 6135, 7041, 8036, 1006, 1299, 2897, 3770, 4215, 5683, 7111, 7785, 262, 1299, 2867, 3524, 4896, 5595, 7085, 8112, 335, 1926, 2552, 3245, 5073, 5646, 6812, 7839, 335, 1213, 2347, 3376, 4525, 6147, 6438, 7768, 335, 2061, 3056, 3432, 4803, 5693, 7140, 7807, 831, 1665, 2554, 4117, 4471, 6176, 6515, 7437, 831, 1516, 2754, 3251, 4631, 5850, 6810, 7260, 1001, 1331, 3121, 3507, 5079, 5565, 6998, 8179, 876, 1251, 2490, 3475, 5011, 5866, 6501, 8188, 846, 1641, 2137, 3466, 4722, 5315, 6611, 7466, 1019, 1902, 2658, 3251, 5123, 5923, 6802, 7423, 763, 1617, 2840, 3251, 4644, 5470, 6767, 7770, 192, 1305, 2394, 3727, 4833, 6124, 7030, 7669, 472, 1326, 2503, 4100, 5115, 5577, 7094, 7757, 296, 2101, 2234, 3426, 5124, 5940, 6438, 7378, 428, 1894, 2595, 3371, 4274, 5461, 6257, 7333, 558, 1907, 2274, 4012, 4438, 5508, 6927, 7628, 302, 1440, 2353, 3468, 5005, 5961, 6910, 7983, 302, 1855, 3088, 3801, 5005, 6104, 6426, 7725, 737, 1325, 2296, 3946, 4735, 5454, 6438, 7904, 966, 1398, 2933, 4128, 5158, 6039, 6693, 8248, 508, 1812, 3138, 3924, 4196, 5572, 6997, 8112, 508, 2049, 3040, 3295, 4239, 5632, 6683, 8025, 508, 1393, 2965, 3394, 4799, 6097, 6711, 8043, 508, 1609, 2213, 3885, 4567, 5898, 7083, 7503, 508, 1609, 2198, 3189, 4800, 6204, 6252, 7487, 738, 1490, 2827, 4009, 4661, 5822, 6453, 7693, 91, 1226, 2355, 3469, 5044, 6206, 6308, 8197, 355, 1316, 2737, 3973, 5090, 5254, 7053, 7868, 770, 2088, 2586, 3751, 4281, 5356, 6538, 7753, 91, 1665, 2532, 3751, 4421, 6114, 7074, 8121, 482, 1904, 2987, 3747, 4824, 5810, 6453, 8132, 473, 1526, 2987, 3680, 4891, 5546, 6860, 8044, 171, 1904, 2987, 4135, 5041, 5630, 7132, 7591, 450, 1316, 2868, 3510, 5088, 5548, 6979, 7764, 1099, 1623, 3008, 3680, 4447, 5684, 7111, 7831, 484, 1623, 2985, 3891, 4828, 5630, 6750, 8083, 484, 2032, 2987, 3815, 4918, 5890, 6589, 7591, 186, 1623, 2781, 3680, 4713, 5241, 6688, 7290, 488, 1623, 2781, 3825, 5060, 5219, 6630, 8147, 860, 1528, 2914, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4624, 6186, 7077, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 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, 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, 488, 1622, 2957, 3893, 4980, 6211, 7124, 8237, 831, 1717, 2998, 4006, 5183, 5219, 6979, 8237, 1033, 1691, 3003, 3932, 5022, 5727, 6734, 7438, 752, 1139, 2691, 3395, 5022, 5584, 6870, 7564, 113, 1490, 2716, 3524, 4278, 5656, 7246, 7821, 247, 1826, 3101, 4153, 4882, 5656, 6347, 8064, 920, 1397, 2990, 3788, 4298, 5873, 6730, 7555, 896, 1397, 2314, 3792, 4785, 5976, 7114, 7954, 487, 1397, 2495, 3464, 4785, 5863, 6623, 8140, 986, 1692, 3091, 3307, 4364, 6159, 7102, 7835, 150, 1550, 3020, 4096, 4364, 5651, 7079, 8066, 887, 1561, 2156, 3613, 4952, 5620, 6846, 7336, 1090, 1635, 3091, 3212, 4813, 5481, 6895, 7386, 1025, 1986, 2207, 4094, 4633, 5340, 7044, 7716, 424, 1499, 2336, 4171, 4543, 6014, 6935, 7936, 1090, 2020, 2796, 3654, 4797, 6063, 6669, 7458, 678, 2046, 2947, 3928, 4374, 5515, 6646, 7367, 678, 2003, 2554, 3866, 4753, 5694, 6702, 8237, 1090, 1275, 3008, 3218, 4387, 5573, 6615, 7290, 826, 1179, 2923, 3992, 5066, 6195, 6694, 7476, 1063, 1838, 3047, 3619, 5054, 5572, 6263, 7405, 271, 1838, 3121, 3794, 4500, 5572, 6561, 7718, 1063, 1489, 2198, 3251, 5014, 6002, 7190, 7792, 371, 2036, 2282, 3408, 4626, 5353, 6550, 8005, 776, 1751, 2282, 3319, 4543, 5833, 6453, 7615, 482, 1455, 2274, 3840, 4929, 6214, 6586, 7458, 271, 1348, 2369, 3394, 5018, 5815, 6894, 8140, 938, 1838, 3132, 3460, 4213, 6004, 6723, 8052, 776, 1175, 2975, 4162, 4766, 5359, 6408, 7986, 610, 1407, 2258, 4145, 4475, 5905, 6901, 7886, 1081, 1581, 2737, 3314, 4964, 5210, 6376, 8172, 887, 1682, 2750, 3707, 4780, 5783, 7149, 7311, 1090, 1118, 2519, 3811, 5088, 5350, 6393, 8034, 104, 1858, 2610, 3568, 5073, 5784, 7115, 7992, 678, 2033, 2492, 3410, 4470, 6070, 7149, 7555, 1081, 1255, 2944, 3271, 4308, 5350, 6642, 7706, 940, 1269, 2553, 3832, 4318, 5981, 7168, 8070, 1090, 1773, 2803, 4145, 5159, 6051, 6852, 8085, 403, 1736, 3005, 3749, 4792, 5478, 6998, 7873, 256, 2002, 2271, 3857, 5124, 5730, 6765, 8107, 195, 2002, 2833, 3798, 5159, 5413, 6883, 7496, 195, 1971, 2566, 3394, 5048, 5643, 7065, 7524, 195, 2058, 2775, 4138, 4560, 5643, 6430, 7563, 654, 1695, 2792, 4103, 5151, 6110, 6757, 7397, 195, 1424, 2316, 3662, 4622, 5493, 7132, 7994, 901, 1791, 2886, 3332, 5080, 5825, 6607, 8093, 240, 1620, 2741, 3933, 4983, 6149, 6892, 7677, 915, 1623, 3006, 3933, 5166, 5296, 6612, 7960, 308, 2097, 2924, 3933, 5088, 6195, 6612, 7822, 752, 1363, 2924, 3268, 5169, 5223, 7058, 8123, 993, 1255, 2436, 4027, 4617, 5742, 7019, 7423, 826, 1510, 2693, 4172, 5010, 5944, 7222, 7297, 887, 2048, 2429, 4082, 5084, 5716, 6918, 7737, 809, 1323, 2260, 3448, 5031, 5537, 6567, 7927, 910, 1639, 2137, 3741, 4650, 5791, 7166, 8161, 873, 2118, 2533, 3366, 4294, 5773, 6382, 7896, 620, 1349, 2972, 3332, 4364, 6180, 6373, 7361, 575, 1756, 2453, 3741, 4457, 5572, 6706, 7344, 913, 2118, 2532, 3307, 4716, 5572, 6315, 8016, 403, 1520, 2464, 3493, 4282, 5603, 6272, 7750, 403, 1858, 2871, 4037, 4334, 5557, 6348, 7958, 935, 1534, 2754, 4145, 4867, 6014, 7084, 7664, 201, 2032, 2806, 4071, 4630, 5901, 7217, 8107, 186, 2017, 2781, 3803, 4870, 5635, 6709, 8260, 488, 1528, 2781, 3803, 4583, 5901, 7201, 7723, 186, 2017, 3065, 3803, 5038, 6182, 7239, 8237, 186, 2017, 2914, 3825, 4888, 5901, 6794, 7723, 186, 2017, 2164, 3893, 4624, 6186, 7077, 7723, 186, 1622, 2164, 4018, 4888, 6211, 7124, 8179, 757, 1601, 2858, 3994, 4287, 5908, 7120, 7677, 757, 1597, 2210, 3819, 4678, 5844, 6430, 7876, 105, 1434, 2656, 4166, 4297, 5630, 6382, 7817, 555, 1684, 3064, 3914, 4870, 6175, 7100, 8147, 488, 1622, 3117, 3367, 4870, 5534, 7077, 7715, 488, 2017, 2806, 3825, 4624, 5892, 7077, 8223, 488, 2017, 2806, 3825, 4624, 6139, 7226, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 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, 2017, 3065, 3825, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3367, 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, 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, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]
[ 1, 42, 63, 39, 66, 5, 76, 48, 51, 54, 16, 64, 5, 17, 75, 5, 31, 16, 5, 50, 60, 54, 66, 64, 5, 5, 3, 1056, 1676, 2439, 3917, 4337, 5705, 6566, 7631, 308, 1146, 2783, 3955, 5115, 5684, 6677, 7782, 873, 1529, 2710, 4146, 4803, 5498, 6804, 7951, 1071, 1577, 2436, 3681, 4545, 5836, 6851, 7819, 614, 1510, 2677, 3478, 4537, 6146, 7087, 8109, 802, 1125, 2312, 3870, 4918, 6062, 6350, 7264, 895, 1118, 3003, 3491, 4796, 6020, 6438, 8135, 895, 1545, 2432, 3957, 4592, 5522, 6995, 7940, 936, 1724, 2905, 3273, 4351, 6007, 6461, 7296, 363, 1510, 2484, 3913, 4415, 5261, 6461, 7944, 896, 1695, 2987, 3623, 4457, 6104, 6881, 8095, 545, 1472, 2762, 3566, 5030, 5757, 6875, 8120, 986, 1563, 2830, 4091, 4804, 5492, 7063, 7738, 545, 2024, 3074, 3623, 4443, 5396, 6976, 7987, 955, 1674, 2515, 3485, 4972, 6034, 6715, 7442, 779, 1269, 2941, 3777, 4435, 5794, 6762, 7664, 216, 1633, 2915, 3770, 4603, 6149, 6614, 7445, 779, 1388, 2365, 3188, 5060, 5493, 7043, 8254, 804, 1974, 2886, 4055, 4622, 5794, 6749, 7303, 818, 1845, 2167, 3838, 5183, 5767, 6677, 7806, 935, 1508, 2833, 4145, 5080, 6129, 7120, 7720, 272, 1736, 2498, 3681, 4777, 5514, 6880, 8016, 171, 2106, 3026, 3518, 4918, 5550, 6612, 8266, 132, 2088, 2975, 3918, 4583, 5963, 7160, 7500, 337, 1218, 2806, 3176, 5104, 6007, 7111, 7876, 1097, 2041, 2936, 4068, 5060, 6205, 7230, 7949, 211, 1932, 2352, 3982, 4870, 5661, 6786, 7723, 390, 1660, 2925, 3982, 4822, 6205, 6988, 8260, 1071, 1672, 2798, 3488, 4856, 5380, 6589, 8016, 299, 2125, 2847, 3991, 4715, 5610, 7140, 7919, 299, 1531, 2559, 3174, 4621, 6002, 7024, 8128, 462, 1286, 2292, 3973, 4288, 5737, 6799, 7350, 487, 1692, 2661, 3329, 4381, 5956, 6422, 7435, 397, 1717, 2595, 3254, 4989, 5234, 7154, 7873, 684, 1269, 2422, 3420, 4675, 6085, 6888, 7652, 684, 1998, 2661, 3990, 5168, 5865, 6507, 7918, 555, 1248, 2709, 3391, 5058, 5715, 6291, 8040, 1099, 2000, 2970, 3516, 5088, 5832, 7168, 8080, 1097, 2000, 2806, 4145, 4890, 6139, 6972, 7949, 818, 1869, 3117, 3516, 5058, 5883, 7207, 8260, 1051, 2063, 2946, 3886, 4287, 5836, 7230, 8083, 878, 1991, 2365, 3488, 4807, 5456, 6740, 7638, 356, 1948, 2669, 3662, 5164, 5968, 6967, 7865, 779, 1280, 2669, 4145, 5115, 5630, 6752, 7887, 767, 1869, 2332, 3941, 4651, 5801, 6671, 8107, 1011, 2102, 2836, 3963, 4289, 5436, 7039, 7957, 1009, 1286, 3005, 3262, 4556, 5768, 6491, 7649, 504, 1691, 3032, 3316, 4705, 6130, 6973, 7881, 448, 1421, 2156, 3205, 4323, 5787, 7141, 8236, 518, 1460, 2288, 3900, 4412, 5493, 6895, 7311, 518, 1326, 3032, 3550, 4258, 5664, 6607, 7528, 195, 1424, 2349, 3995, 5135, 5472, 7160, 7492, 518, 1961, 2349, 3687, 4888, 5767, 7232, 7303, 518, 1961, 2839, 4093, 5153, 5438, 7059, 7574, 518, 1961, 2991, 4111, 4201, 5400, 6889, 7799, 568, 2097, 2659, 4145, 5160, 6048, 6998, 7614, 288, 1349, 3043, 3582, 4470, 5429, 6430, 7756, 676, 1346, 2863, 3349, 4457, 5693, 6987, 7882, 668, 2085, 3137, 3619, 4352, 5859, 7158, 7473, 840, 1972, 2869, 3946, 4910, 5948, 6289, 7393, 940, 1897, 2474, 3752, 4626, 5865, 6644, 7812, 304, 1721, 2352, 3516, 5159, 6170, 6630, 8245, 684, 1998, 2783, 3886, 5125, 6014, 6786, 8085, 684, 1804, 2473, 3983, 4925, 5534, 7201, 8260, 211, 2060, 3128, 3364, 5127, 5386, 7019, 8066, 776, 1452, 2340, 4043, 4225, 5413, 6224, 7811, 613, 2060, 2365, 3321, 4385, 5810, 6528, 8238, 845, 1797, 2871, 3732, 4412, 6152, 6614, 7953, 1036, 1241, 2788, 4128, 4186, 5581, 7148, 7889, 1098, 1826, 2865, 3298, 4953, 6181, 6521, 7618, 103, 1403, 2321, 3994, 4985, 5548, 7012, 8096, 308, 1773, 2944, 3905, 5145, 5978, 6515, 7557, 1099, 2000, 2838, 4018, 4822, 6129, 7129, 7936, 684, 1992, 2880, 3891, 4555, 5678, 6752, 7949, 334, 1108, 3090, 3749, 4996, 5730, 6461, 7445, 225, 1112, 2942, 4168, 4267, 5890, 6589, 7613, 568, 1633, 2717, 3550, 4225, 5981, 7084, 8030, 757, 1652, 3147, 3352, 4437, 5678, 6671, 7473, 304, 1918, 2136, 3955, 4522, 5863, 7152, 8076, 1033, 2051, 2958, 3983, 4784, 5643, 7091, 7718, 266, 1586, 2528, 3316, 4672, 5819, 7003, 7905, 363, 1758, 2783, 3276, 4539, 5780, 6839, 8095, 150, 1189, 2440, 3472, 4222, 5315, 6723, 7510, 150, 1239, 2540, 3472, 4938, 6167, 6237, 7944, 1038, 1581, 2661, 3793, 4514, 5729, 6818, 8244, 895, 1110, 2515, 3570, 4196, 5398, 6792, 7966, 1067, 1669, 2265, 4073, 4293, 5745, 6405, 7999, 404, 1454, 2515, 4073, 5018, 5512, 6557, 7583, 113, 1309, 2615, 4073, 5124, 5401, 6614, 8169, 293, 1609, 2564, 4025, 4644, 5950, 6788, 8264, 692, 1751, 2564, 3631, 4945, 5492, 7050, 7646, 692, 1586, 2751, 4015, 4835, 5482, 6270, 7384, 692, 1586, 2383, 4073, 4339, 5290, 7075, 7442, 692, 1593, 2601, 3261, 4931, 5814, 6525, 8023, 495, 1446, 2132, 3741, 5098, 5934, 6899, 7992, 1090, 1177, 2801, 3790, 4225, 5341, 6759, 7660, 610, 1397, 2895, 3970, 5018, 6222, 6903, 7927, 104, 1717, 3104, 3963, 4622, 6073, 7207, 8099, 1025, 1797, 2946, 3671, 4665, 6220, 6734, 7515, 390, 1881, 2801, 3361, 4872, 6085, 7207, 7908, 256, 1146, 2980, 3838, 4536, 5641, 6762, 8083, 654, 1806, 3076, 3793, 4621, 5630, 7243, 7303, 654, 2000, 3147, 3646, 5038, 5586, 6895, 8061, 654, 2030, 2869, 3955, 4598, 5801, 7035, 7452, 654, 1684, 2904, 3891, 5031, 5873, 6810, 7816, 225, 1719, 3000, 4166, 5038, 6110, 6604, 7887, 654, 2118, 2250, 3470, 4344, 6110, 7090, 7473, 228, 1606, 2669, 3376, 4638, 5504, 6677, 7605, 228, 1684, 2282, 3332, 4486, 6110, 6724, 7716, 228, 1286, 2904, 3777, 4459, 5677, 6296, 7291, 256, 2127, 3131, 3803, 4412, 5677, 6810, 7732, 419, 1684, 2944, 4006, 5135, 5413, 7090, 7563, 915, 1684, 3133, 3914, 5079, 5514, 6809, 8126, 488, 1756, 2806, 3277, 4681, 5219, 7207, 8147, 488, 1528, 3117, 3367, 4798, 5677, 7077, 7715, 488, 1528, 3117, 3595, 4798, 6186, 7124, 8196, 488, 1528, 3117, 3367, 4798, 6186, 7124, 8196, 488, 1528, 2914, 3893, 4798, 6081, 6752, 8196, 915, 2017, 2970, 3827, 4583, 6139, 7090, 8076, 555, 1750, 2839, 3932, 5038, 5550, 6752, 7485, 859, 1289, 2469, 3838, 4512, 5246, 6589, 7485, 859, 1750, 2554, 3374, 4267, 5981, 7100, 8267, 859, 2127, 3147, 4068, 4890, 5493, 7152, 7643, 105, 1695, 2792, 3873, 4512, 5534, 6604, 7907, 4, 2 ]
[ 1, 54, 73, 5, 31, 39, 5, 51, 69, 30, 5, 54, 11, 66, 5, 5, 3, 488, 2017, 2781, 3803, 4704, 6081, 6709, 8147, 308, 1302, 2803, 4152, 4633, 5694, 7111, 7948, 685, 1773, 2291, 3369, 4353, 5965, 6677, 7492, 685, 1692, 2349, 3241, 4707, 5539, 7004, 8022, 271, 1717, 2905, 4091, 4834, 5438, 6283, 7815, 318, 1543, 2905, 4073, 4690, 5714, 6476, 7607, 1033, 1167, 3014, 4073, 5115, 6204, 6478, 7943, 271, 1129, 3088, 4073, 4800, 5700, 6730, 8159, 545, 2007, 2250, 3416, 4911, 5454, 6565, 7442, 828, 1692, 2929, 3300, 4931, 5782, 6802, 7740, 487, 1219, 2369, 3248, 4576, 5443, 6691, 7774, 986, 1563, 2142, 3679, 4578, 5458, 6680, 7740, 884, 1164, 2440, 4064, 5114, 6116, 6592, 8010, 386, 1561, 2222, 4094, 4985, 5898, 6498, 7724, 887, 1171, 2210, 4143, 4651, 5574, 6603, 8078, 373, 2059, 3039, 3205, 5129, 5514, 7002, 8035, 424, 1141, 3039, 3584, 4588, 5930, 7228, 7570, 1024, 1407, 2429, 3870, 4207, 5640, 7007, 7558, 643, 1838, 2669, 3671, 4912, 6041, 6516, 8093, 610, 1919, 2515, 3153, 4207, 6128, 6668, 8197, 678, 1777, 2944, 3929, 4379, 5761, 7162, 7881, 288, 1847, 2944, 3909, 4630, 5901, 7049, 7948, 940, 1587, 2944, 4098, 5068, 5247, 7120, 7485, 1056, 1280, 2924, 3681, 4895, 5678, 6996, 8076, 288, 1931, 2998, 3388, 4551, 6063, 6967, 8076, 1056, 1939, 2803, 4085, 4592, 5883, 6979, 7458, 390, 1485, 3095, 3945, 4822, 6146, 7047, 8209, 571, 1992, 2352, 4171, 5003, 5883, 6776, 7706, 663, 1972, 3112, 4006, 5125, 5678, 7129, 7846, 424, 1545, 3092, 3370, 4374, 5419, 7232, 7928, 776, 1655, 2263, 3870, 4790, 6135, 6715, 8046, 831, 1596, 2820, 3413, 4419, 6055, 7147, 7508, 804, 2125, 3135, 4068, 5104, 5534, 6979, 7557, 308, 1851, 2895, 4166, 4398, 5219, 6607, 7421, 820, 2084, 2780, 3678, 5169, 5906, 6225, 7764, 702, 1826, 2945, 3337, 5145, 5396, 6901, 7303, 1019, 1388, 2953, 3704, 4541, 5742, 6708, 7962, 664, 1808, 2487, 3884, 4927, 5512, 6535, 7997, 807, 1942, 3145, 3566, 5142, 6019, 6929, 7864, 487, 2008, 2346, 3792, 4268, 5788, 6875, 7445, 986, 1397, 2515, 4155, 5040, 6101, 6733, 8079, 390, 1858, 2138, 3355, 4555, 5325, 6350, 7365, 510, 2046, 3147, 3337, 5165, 6205, 6717, 7677, 984, 1871, 2939, 3692, 5107, 5935, 7218, 7311, 403, 1736, 2946, 3819, 5170, 5844, 6397, 8187, 171, 1596, 2792, 3595, 5106, 5436, 6642, 7537, 283, 2024, 3048, 3214, 4996, 5989, 6516, 8024, 878, 1477, 2834, 4004, 4789, 6131, 6808, 8263, 579, 2073, 2503, 3836, 4508, 5654, 6472, 8030, 223, 1141, 2533, 3369, 4738, 5215, 6551, 7908, 318, 1407, 2890, 3394, 5100, 5946, 7206, 7477, 540, 1440, 2456, 3393, 5188, 5523, 6287, 7519, 702, 1999, 2137, 3960, 4952, 5357, 6731, 7539, 1019, 2050, 2693, 3392, 4842, 6010, 6888, 7515, 344, 1828, 2149, 3225, 5126, 5208, 6352, 7313, 569, 1828, 2629, 3741, 4590, 5769, 7072, 8100, 955, 1171, 2771, 3820, 5151, 6117, 7001, 7960, 779, 1198, 2970, 3869, 4816, 5568, 7220, 8236, 914, 1668, 3098, 3540, 4872, 6051, 7098, 7887, 779, 1939, 2709, 3937, 5145, 5565, 7132, 8034, 1056, 1485, 2429, 3183, 4318, 6000, 7033, 7959, 211, 1791, 2582, 4145, 5115, 5534, 6972, 8076, 650, 1932, 2381, 4151, 4387, 6017, 7207, 8245, 160, 1914, 2678, 3807, 5050, 6114, 7205, 7876, 160, 1708, 3146, 3793, 4802, 5838, 6820, 7971, 160, 2009, 2944, 4087, 4435, 5573, 7081, 7791, 160, 2009, 2750, 3206, 4426, 5550, 7081, 7965, 160, 1630, 2636, 3493, 4595, 5425, 6515, 7393, 1101, 2009, 2183, 3233, 4672, 5424, 6458, 8149, 399, 1261, 2561, 3568, 4672, 5792, 6917, 8137, 508, 1489, 2593, 3177, 4847, 6002, 7131, 7378, 1011, 1348, 2389, 4005, 4800, 5454, 7141, 8064, 100, 2024, 2163, 3807, 4462, 5624, 6360, 7669, 473, 2061, 2291, 3170, 5042, 5447, 7053, 7540, 473, 1867, 2679, 3576, 4369, 5864, 6469, 7879, 110, 1707, 2780, 3153, 4716, 5345, 6426, 7908, 132, 1851, 2593, 3975, 4846, 6025, 6982, 8170, 171, 1248, 3063, 3413, 5088, 6206, 7162, 7494, 552, 1248, 3135, 3680, 5122, 5765, 6630, 7899, 105, 1623, 2326, 4073, 5088, 5360, 7129, 7349, 142, 1623, 2781, 3994, 4704, 5677, 6579, 7557, 945, 1528, 3065, 4071, 4630, 6186, 6996, 7723, 488, 1528, 2164, 4145, 4624, 6139, 6794, 8223, 488, 1528, 3117, 3367, 4798, 5635, 7124, 7766, 541, 1752, 2424, 3448, 5138, 5378, 6413, 7410, 789, 1283, 2332, 3595, 5088, 5550, 7007, 8078, 555, 1623, 2729, 3277, 4512, 5661, 6677, 7876, 201, 2017, 2806, 4071, 4870, 6139, 7207, 7485, 488, 2017, 3117, 3367, 4624, 6186, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 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, 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, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]
[ 1, 17, 75, 5, 11, 41, 16, 52, 5, 54, 26, 66, 64, 5, 76, 33, 54, 5, 43, 48, 5, 63, 39, 75, 30, 5, 52, 26, 51, 5, 16, 5, 53, 14, 30, 53, 15, 54, 5, 5, 3, 945, 1528, 2806, 4068, 4704, 6211, 6709, 8147, 201, 2017, 2806, 3893, 4704, 6139, 7124, 8147, 555, 1833, 3065, 4113, 4888, 5241, 6677, 7563, 878, 1503, 2473, 4125, 5103, 5890, 6891, 8252, 942, 1503, 2627, 3826, 4343, 5894, 7024, 7397, 189, 1697, 2721, 3596, 4664, 5404, 6896, 7670, 249, 1503, 2539, 3505, 4507, 5288, 6703, 7615, 993, 2050, 2997, 3700, 5128, 5865, 6741, 8091, 776, 1478, 2732, 3184, 4271, 6077, 6502, 7652, 899, 1878, 2703, 3522, 4512, 5500, 6860, 7785, 405, 1887, 2860, 4097, 4512, 6174, 7048, 7317, 440, 1797, 2904, 3906, 5053, 5256, 6671, 8267, 440, 2085, 2989, 3931, 4412, 6009, 6630, 8107, 1047, 1752, 2775, 3374, 4533, 6018, 7100, 7476, 1051, 1767, 2314, 3374, 4552, 6120, 6604, 7714, 984, 2028, 2965, 3909, 5153, 6123, 6740, 8185, 488, 2032, 3135, 3645, 5058, 6129, 7077, 7658, 956, 2017, 3135, 4018, 5058, 6186, 6786, 8076, 915, 2032, 2960, 3825, 4555, 6129, 6786, 7949, 427, 1981, 2941, 4174, 5165, 5892, 6515, 8085, 1011, 1706, 2224, 3762, 5143, 5550, 7045, 8083, 738, 2047, 2286, 3608, 4742, 5872, 6978, 7291, 823, 2026, 2198, 3205, 4331, 6135, 6281, 8244, 900, 1469, 2574, 3179, 5186, 6080, 6267, 7968, 339, 1106, 2937, 3790, 4310, 5382, 6390, 8229, 531, 1419, 3083, 3790, 4628, 6080, 7192, 7405, 493, 1419, 2681, 3997, 4373, 5205, 7195, 7462, 339, 2081, 2636, 3520, 4725, 5872, 6944, 7915, 531, 1778, 2681, 3429, 5186, 5205, 7001, 7792, 736, 2026, 2712, 3288, 4572, 6096, 6461, 8064, 192, 1302, 2712, 3630, 5103, 5571, 6469, 8127, 1090, 1146, 2294, 3781, 4444, 5471, 7000, 7492, 518, 1385, 3015, 3977, 4913, 5493, 7202, 7733, 878, 1597, 2942, 3183, 5178, 6012, 6901, 7255, 440, 1976, 3007, 3681, 4486, 5811, 6752, 7764, 489, 1968, 3068, 3369, 4423, 5251, 6677, 7476, 256, 1309, 2899, 3777, 4888, 5719, 6604, 7664, 489, 1974, 2391, 4113, 5098, 5385, 6512, 7869, 757, 1851, 2998, 3595, 5157, 6123, 7202, 7703, 959, 1884, 2366, 3566, 5101, 5514, 7096, 7732, 160, 1761, 2721, 4013, 4316, 5904, 6506, 7360, 150, 1469, 2821, 4127, 4670, 5775, 6745, 7311, 803, 1469, 2531, 3837, 4845, 5789, 6275, 7576, 993, 2050, 3126, 3880, 4281, 6010, 6763, 7999, 936, 1440, 3066, 3766, 4395, 5473, 6595, 7312, 104, 1146, 2506, 3967, 4285, 6065, 6582, 8096, 113, 1708, 2506, 3967, 4339, 5597, 6667, 7670, 993, 1440, 2435, 3276, 5118, 5474, 7173, 7862, 150, 1129, 2567, 3276, 4334, 5223, 6350, 7484, 895, 1129, 2414, 3179, 5188, 6066, 6426, 8242, 850, 1676, 2642, 3372, 4246, 5910, 7086, 7375, 610, 2009, 2783, 4102, 5000, 5643, 7168, 8205, 778, 2053, 3129, 4096, 4691, 5681, 7198, 8034, 104, 1773, 2944, 3395, 4849, 5408, 6566, 7607, 826, 1399, 2610, 3169, 4842, 5640, 6777, 7252, 778, 1255, 2536, 3605, 4586, 6131, 6716, 7563, 104, 1660, 2678, 3231, 5159, 5694, 6774, 7957, 535, 1910, 2173, 3475, 4402, 6039, 6952, 7255, 293, 1686, 2240, 4079, 4566, 6184, 6311, 8112, 803, 2061, 2470, 3989, 4372, 6203, 6932, 7951, 234, 1984, 2704, 3394, 4976, 6104, 6805, 7983, 930, 1151, 2626, 3741, 4353, 5898, 6542, 7319, 620, 1904, 2724, 3394, 4881, 5720, 6830, 7982, 862, 1496, 2507, 3831, 4637, 6034, 6672, 8139, 774, 1112, 2629, 3353, 4973, 5886, 6854, 8033, 103, 1278, 2692, 3965, 4212, 5555, 6307, 7682, 103, 1441, 2872, 3732, 4521, 5723, 6413, 7827, 103, 1707, 2309, 3602, 4779, 6058, 7066, 7947, 779, 1847, 2601, 3922, 4611, 5345, 6528, 7869, 1056, 1747, 3021, 3513, 4619, 5306, 6901, 8126, 914, 1783, 2641, 3961, 4925, 5901, 7120, 8107, 186, 1508, 2746, 4108, 4822, 5705, 6972, 8195, 186, 2046, 3007, 3226, 4888, 6129, 6709, 7766, 935, 2046, 3135, 4018, 5104, 6081, 6752, 8107, 568, 1106, 2988, 4107, 4224, 5957, 6734, 7602, 824, 1996, 3059, 3692, 5040, 5890, 6657, 8213, 654, 1300, 2596, 4149, 4902, 5890, 6657, 8102, 654, 2013, 2839, 3518, 4399, 5413, 7024, 7865, 654, 1345, 2725, 4096, 4240, 5814, 7145, 8126, 654, 1345, 2725, 3518, 5159, 5767, 7098, 7402, 654, 1826, 2833, 3227, 4344, 5923, 6963, 8237, 225, 2061, 2696, 3874, 4541, 5767, 6432, 8117, 228, 1756, 2839, 4125, 5168, 6110, 7160, 7485, 228, 1347, 3091, 3566, 5007, 6110, 6752, 7557, 228, 2111, 3147, 3586, 5128, 5678, 6757, 8262, 183, 1719, 2554, 4096, 5089, 5486, 6996, 7537, 543, 1286, 2469, 3777, 5138, 5678, 6515, 7336, 555, 1684, 3133, 3518, 5007, 5515, 7024, 7717, 915, 2017, 2833, 3595, 5079, 5963, 6996, 7509, 488, 1756, 2806, 4125, 4549, 5515, 6988, 8147, 915, 1756, 2806, 4125, 4549, 5493, 6338, 7677, 818, 1648, 2164, 3825, 4798, 6139, 7124, 8196, 915, 1622, 2914, 3827, 4583, 6139, 6338, 8076, 555, 1147, 2833, 3893, 4622, 5550, 7207, 7865, 859, 1974, 2833, 4166, 4583, 6139, 7120, 7563, 859, 2127, 3147, 4068, 4423, 6163, 6604, 7563, 617, 1496, 2918, 3352, 5079, 5890, 6604, 7383, 484, 2111, 2858, 4166, 4681, 5385, 7100, 7865, 484, 1750, 2164, 3891, 4374, 5811, 6752, 7865, 201, 2073, 2806, 3803, 4704, 6081, 6988, 7766, 142, 1528, 2806, 3825, 4624, 6186, 7226, 8196, 818, 2017, 2164, 3893, 4624, 5635, 7239, 8196, 818, 1648, 2806, 4018, 4798, 5832, 6979, 8223, 940, 1620, 3007, 3803, 4558, 5635, 7201, 7715, 685, 2079, 2363, 4097, 4282, 6120, 7235, 7881, 728, 1318, 2863, 3399, 4873, 6106, 6614, 8135, 668, 1509, 2750, 3530, 4330, 5769, 7067, 7663, 314, 1284, 2378, 3474, 4274, 6012, 6520, 7726, 401, 1834, 2871, 3195, 5042, 5810, 6803, 7435, 271, 1633, 2629, 3695, 4586, 6205, 7197, 7677, 1004, 1400, 2725, 3580, 4843, 6052, 6694, 8129, 896, 1550, 2940, 3952, 4636, 5298, 6269, 7375, 632, 1717, 3018, 3875, 5026, 6135, 6756, 7400, 807, 2047, 2456, 3476, 4543, 5929, 7246, 7955, 545, 1164, 2850, 3159, 4962, 6207, 6860, 7509, 653, 1782, 2976, 3788, 4776, 6013, 7015, 8095, 918, 2047, 2188, 3882, 4312, 5980, 6889, 7882, 271, 1735, 3020, 3770, 4845, 5261, 6715, 8102, 504, 1407, 2440, 3727, 4841, 5840, 7232, 7467, 643, 1317, 2905, 4079, 4486, 5624, 6251, 8006, 150, 1499, 2250, 3516, 4271, 5572, 6387, 7602, 1025, 2064, 2299, 3614, 4919, 5551, 6422, 7800, 981, 1897, 2454, 3220, 4343, 6001, 6852, 7866, 150, 1265, 2254, 3557, 4867, 5713, 7221, 7263, 643, 1523, 2792, 3176, 4548, 5856, 6713, 7557, 271, 1332, 2424, 4151, 5041, 5747, 6657, 8061, 938, 1509, 2424, 3349, 4841, 5656, 6421, 8061, 1080, 1759, 2848, 3615, 4444, 5579, 7017, 7276, 1019, 1627, 2142, 3952, 4776, 5449, 6998, 8049, 664, 1249, 2882, 4137, 4636, 5914, 6857, 7534, 1019, 1695, 2782, 4087, 4328, 6002, 6660, 8253, 632, 1695, 2170, 3683, 4620, 5973, 6431, 8224, 1036, 1985, 2940, 3400, 4842, 6015, 7161, 7828, 234, 1118, 2506, 4087, 4459, 5504, 7004, 7384, 234, 1815, 2188, 4073, 4908, 5257, 7200, 7793, 545, 1446, 2543, 3356, 5179, 5402, 6781, 7756, 487, 1562, 2396, 3631, 4191, 5745, 6746, 8016, 487, 1284, 2369, 3764, 4543, 5764, 6466, 7393, 918, 1834, 2436, 3855, 4845, 5384, 6348, 8149, 845, 1164, 2506, 3826, 4539, 5444, 6497, 7707, 540, 1249, 2357, 3764, 4364, 5863, 6413, 7384, 1023, 1556, 2610, 4079, 4894, 5863, 7053, 8092, 363, 1808, 3018, 4007, 4351, 5640, 6639, 8033, 299, 1570, 2387, 3465, 5124, 5433, 6749, 7760, 150, 1252, 2974, 3850, 4875, 5344, 7149, 7999, 171, 1860, 2389, 4103, 4896, 5943, 7017, 7313, 440, 1146, 2708, 4145, 4983, 5723, 6810, 7664, 756, 1700, 2783, 3364, 4993, 5276, 7017, 7438, 804, 1485, 2542, 3563, 5167, 6160, 7168, 8066, 833, 2098, 2895, 3206, 4993, 5493, 6774, 8261, 844, 1905, 2454, 3646, 4437, 5266, 6918, 8260, 902, 1912, 2675, 3697, 4430, 5765, 6486, 8150, 113, 1199, 2232, 4067, 4930, 5382, 6795, 7614, 1008, 1753, 2373, 4044, 4504, 5323, 7020, 7704, 1103, 1716, 2296, 3424, 4435, 6029, 7158, 7363, 161, 1609, 2173, 3695, 5126, 5771, 6995, 7850, 349, 1828, 3010, 3262, 4395, 5533, 7202, 8171, 900, 1171, 3102, 4123, 4539, 5223, 6974, 8026, 1052, 1951, 2882, 3968, 4539, 5459, 6442, 8060, 103, 1494, 3146, 3943, 4606, 5927, 6626, 7429, 935, 1757, 2552, 4039, 4780, 5835, 7111, 7732, 171, 1224, 2899, 4166, 4435, 5378, 7168, 7968, 1056, 1534, 2834, 3891, 4870, 6146, 6752, 7825, 120, 1504, 2621, 4089, 4345, 5714, 6578, 7426, 756, 1915, 2903, 3977, 4359, 5503, 6806, 8007, 392, 2065, 2151, 3259, 4756, 5572, 6728, 7801, 997, 1596, 2464, 3466, 4285, 5793, 7024, 7936, 314, 1284, 2309, 3451, 4719, 6118, 7148, 8178, 767, 1685, 2456, 3649, 4982, 5835, 6308, 7975, 731, 1633, 2649, 3973, 4361, 5558, 6734, 8236, 223, 1269, 2158, 4120, 4305, 5873, 6905, 7673, 504, 1773, 3080, 3892, 4930, 5976, 7059, 8241, 1033, 2068, 2429, 4102, 4930, 5522, 6914, 8016, 271, 1924, 2868, 4145, 4419, 5898, 6755, 8025, 318, 1280, 2163, 4128, 4883, 5829, 6240, 7261, 1033, 1566, 2163, 3251, 4693, 5518, 6423, 7529, 271, 1141, 3088, 3410, 4481, 5829, 7126, 7393, 538, 1119, 2247, 3599, 4545, 5664, 6718, 7453, 538, 1785, 3040, 3997, 4302, 5506, 6998, 7495, 728, 1785, 3040, 4081, 4757, 6022, 6650, 8012, 775, 1768, 3040, 3865, 4256, 5624, 6964, 7785, 249, 1193, 3040, 3356, 4364, 5318, 6230, 7253, 310, 1778, 3040, 4102, 4719, 5370, 6334, 8153, 581, 1812, 3040, 3514, 4302, 5745, 6943, 8041, 249, 1550, 2861, 3882, 4755, 5644, 6741, 7748, 737, 1904, 3040, 3915, 5158, 5815, 6662, 7823, 966, 2061, 2366, 3912, 4321, 5750, 6522, 8263, 966, 1812, 3091, 3329, 4813, 6210, 7052, 7365, 179, 1397, 2871, 3392, 4539, 5222, 7174, 8190, 249, 1401, 2137, 3943, 4364, 5716, 6869, 7584, 247, 1472, 2129, 3394, 4885, 6053, 6472, 8081, 876, 1915, 2725, 3225, 5069, 5792, 6859, 8111, 356, 1763, 2380, 3994, 4813, 6042, 7122, 7611, 804, 1660, 2326, 3955, 4447, 5436, 6612, 7962, 427, 1919, 3043, 3866, 4856, 6051, 6432, 7515, 1090, 2024, 2944, 3961, 4447, 5968, 7230, 8076, 424, 2125, 2326, 4145, 5106, 5978, 7023, 8076, 211, 1989, 2771, 4145, 4993, 6070, 6589, 7806, 650, 1360, 3033, 3525, 4983, 5577, 7143, 7384, 104, 1717, 2989, 3233, 5125, 5648, 6816, 8078, 104, 1682, 2874, 4027, 5193, 5653, 6871, 8235, 271, 1682, 2440, 3756, 5095, 5212, 6387, 8051, 993, 1141, 2610, 3170, 4426, 5366, 6648, 8213, 535, 1818, 2741, 3628, 5020, 5526, 6410, 8023, 313, 1438, 2429, 3323, 4321, 5819, 6672, 7572, 581, 1388, 2751, 3448, 4811, 5843, 6576, 7604, 492, 1139, 2431, 3469, 4664, 5492, 6628, 7896, 993, 1397, 2578, 3745, 4305, 6119, 6798, 8268, 774, 1539, 3101, 3394, 4459, 5346, 6313, 8201, 1052, 2049, 2487, 3225, 5022, 5658, 6324, 7849, 992, 1132, 2751, 3225, 4270, 5423, 7031, 7556, 113, 1886, 2346, 3900, 4412, 5508, 6740, 8207, 862, 1665, 2346, 3171, 4364, 5608, 6520, 7405, 930, 1132, 2951, 3392, 4812, 6067, 6474, 8117, 459, 1184, 2751, 3171, 4222, 5352, 7028, 7532, 668, 1424, 2378, 3171, 5188, 5331, 7227, 7757, 668, 1510, 2165, 3277, 5040, 5810, 6493, 7545, 995, 1459, 2156, 4133, 5014, 5809, 6550, 7900, 913, 1631, 2378, 3816, 5188, 5474, 7038, 7645, 913, 1510, 2754, 3354, 4756, 5810, 7108, 7918, 951, 1858, 3098, 4035, 4898, 5899, 6859, 7887, 663, 1455, 2403, 4145, 5169, 6000, 6698, 7808, 831, 1244, 2552, 3961, 4365, 5824, 6263, 7607, 160, 1463, 2767, 4115, 5115, 5880, 6901, 8038, 831, 1778, 2429, 3233, 4867, 5512, 6528, 8239, 610, 1269, 2924, 3660, 4437, 6192, 6668, 7966, 465, 1886, 2636, 3874, 5150, 5385, 7074, 7496, 844, 1349, 2990, 3788, 4828, 5526, 6750, 8238, 308, 2111, 2754, 3766, 4896, 5548, 6442, 7716, 555, 2111, 2783, 3945, 4912, 5548, 7207, 7948, 488, 1992, 2838, 3891, 4387, 6085, 7201, 8147, 488, 1620, 2991, 3825, 5080, 6139, 6794, 7876, 186, 1528, 3007, 3891, 4624, 5635, 7084, 8260, 859, 2111, 2970, 3866, 4512, 6186, 6996, 7664, 356, 1490, 2775, 3851, 5060, 5767, 7100, 7808, 617, 1345, 2791, 3716, 5160, 5296, 6840, 8131, 617, 1490, 2839, 3687, 4535, 5515, 6529, 7764, 617, 1490, 2921, 3856, 5079, 5413, 6671, 8236, 4, 2 ]
[ 1, 76, 17, 66, 5, 45, 78, 5, 31, 16, 5, 77, 17, 55, 5, 53, 14, 54, 5, 66, 20, 51, 44, 55, 5, 16, 28, 23, 66, 5, 5, 5, 44, 51, 64, 51, 52, 39, 53, 30, 5, 64, 51, 14, 63, 51, 63, 56, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8223, 818, 1622, 2991, 4018, 4798, 5705, 7077, 7766, 1025, 1924, 3095, 3803, 5153, 5635, 7084, 8195, 610, 1679, 3008, 3400, 4191, 5359, 6309, 7260, 610, 2124, 2231, 3420, 4215, 6068, 6796, 7948, 826, 1503, 2290, 3325, 4941, 6010, 6958, 7590, 881, 1916, 2476, 3233, 4571, 5684, 7038, 7951, 404, 1157, 2848, 3530, 4553, 5581, 6421, 8077, 665, 1210, 2911, 3611, 4555, 5880, 7074, 7784, 1088, 1299, 2306, 4162, 4872, 5622, 6762, 7483, 1088, 1299, 3052, 3670, 4851, 5796, 6397, 7260, 1088, 1222, 2775, 4155, 4395, 6028, 7127, 7256, 722, 1323, 2990, 3588, 4327, 5745, 6607, 7981, 448, 2002, 2502, 3969, 5075, 5643, 6224, 7845, 613, 1554, 2992, 3740, 4259, 5223, 7237, 7802, 115, 1524, 2903, 3740, 4996, 5370, 6783, 7411, 576, 1820, 2156, 3555, 4321, 6007, 7122, 7592, 195, 1747, 2527, 3407, 5157, 5830, 6579, 7997, 240, 1304, 2838, 3766, 4205, 5963, 6630, 8262, 440, 1579, 2454, 4146, 4288, 5590, 6607, 8026, 240, 1452, 2718, 4037, 4573, 5614, 7218, 7716, 1014, 1399, 3075, 3879, 4622, 5651, 7047, 8016, 825, 1750, 2833, 3990, 4510, 5687, 6883, 7498, 825, 1471, 2484, 4120, 4952, 5811, 6563, 7437, 545, 2052, 3074, 3581, 4562, 5345, 6724, 7350, 545, 1961, 2951, 3421, 4618, 5244, 6461, 7767, 545, 2014, 2349, 3421, 4796, 5244, 6702, 7303, 1090, 1112, 2836, 3771, 4672, 5325, 6591, 7303, 448, 2084, 2268, 3421, 5081, 6097, 6474, 8117, 639, 1244, 2793, 3421, 4641, 5771, 6651, 7827, 996, 1248, 2783, 3421, 5154, 5538, 6985, 7704, 992, 1206, 2761, 4007, 4777, 6113, 6430, 7304, 1038, 1422, 2559, 3777, 5193, 5703, 6666, 7607, 293, 1168, 3040, 3880, 4684, 5739, 6874, 8084, 293, 1900, 3040, 4082, 4607, 5734, 6443, 7318, 410, 1183, 2751, 4058, 4205, 6141, 6487, 7844, 569, 1596, 3040, 3639, 5098, 5341, 6492, 8022, 536, 1183, 2401, 3459, 4285, 6145, 6663, 7667, 1025, 1509, 2992, 3967, 4210, 6118, 7059, 7558, 424, 1275, 2905, 3955, 4756, 6029, 6436, 7872, 850, 1637, 2265, 3857, 4896, 5498, 7045, 7648, 610, 1577, 3144, 3253, 4229, 5481, 6809, 7717, 887, 1676, 2943, 3380, 4700, 5730, 6402, 7641, 1090, 1139, 2754, 3183, 4573, 5637, 7058, 7706, 1035, 1671, 2454, 4096, 4811, 6205, 7149, 8260, 104, 1540, 2254, 3885, 5098, 5568, 7098, 7887, 610, 1577, 3144, 3732, 4287, 5873, 6809, 7718, 887, 1932, 2573, 3929, 4371, 6181, 6254, 8107, 936, 1141, 2139, 3660, 5182, 6111, 6715, 7784, 810, 1826, 2474, 3524, 4209, 5656, 6669, 7930, 480, 1534, 2725, 3303, 4934, 5314, 6969, 8201, 873, 1906, 2830, 3543, 4268, 6002, 6267, 8058, 242, 1636, 2951, 3268, 5148, 5714, 7067, 7383, 620, 1349, 2985, 3495, 5138, 5304, 6625, 7297, 639, 1349, 2751, 3501, 5031, 6096, 6402, 8040, 1084, 1316, 2951, 3973, 5096, 5598, 6241, 7582, 763, 1472, 2951, 3582, 4239, 5629, 6663, 7631, 923, 1510, 2700, 3443, 4555, 5656, 7126, 7279, 691, 1510, 2941, 3463, 4767, 5610, 6224, 8096, 641, 2111, 2951, 3205, 4919, 5607, 6819, 7823, 806, 1326, 2271, 3706, 4737, 5568, 7174, 7386, 1071, 1644, 2519, 3922, 4343, 5431, 7106, 7827, 1071, 1721, 2244, 4085, 4828, 5678, 6830, 7260, 160, 1771, 2833, 4143, 4782, 6175, 6786, 7918, 304, 2001, 3064, 4097, 4870, 6063, 7019, 8076, 211, 1777, 3128, 3886, 4870, 5661, 7207, 8245, 308, 1620, 2833, 3945, 5166, 5678, 6852, 7949, 1099, 1620, 2833, 4071, 4822, 5883, 6752, 7959, 555, 1467, 3021, 4174, 4366, 5761, 6996, 7715, 757, 1964, 2860, 4011, 4398, 5261, 6639, 7957, 276, 1199, 2839, 4015, 4764, 5869, 6354, 7674, 568, 1749, 2721, 4092, 4780, 6128, 6776, 8150, 153, 2106, 2858, 4028, 5150, 6111, 7055, 8079, 403, 2032, 2293, 4166, 4737, 5305, 7010, 7827, 1102, 2088, 2924, 3816, 5020, 5359, 7157, 7889, 942, 1503, 2957, 3904, 4287, 5981, 6758, 8135, 948, 1503, 2546, 3783, 4700, 5422, 7103, 7303, 408, 1503, 2204, 3554, 4682, 5995, 6912, 7752, 404, 1469, 2861, 3851, 4394, 5399, 6823, 7321, 1064, 1215, 2995, 3818, 4336, 5213, 6387, 7743, 722, 1775, 2995, 3887, 5022, 5584, 6586, 8045, 731, 1215, 2363, 4147, 4601, 6055, 6917, 7754, 779, 1755, 2385, 4112, 5058, 5811, 7220, 7264, 512, 1737, 3108, 3240, 4592, 5730, 7058, 7706, 186, 2032, 2363, 3945, 4780, 6211, 7168, 7766, 337, 2032, 2307, 3803, 4980, 5439, 7239, 8080, 914, 1508, 3143, 4112, 4713, 6205, 6972, 7485, 186, 1508, 2914, 4071, 4704, 5241, 6688, 7949, 120, 1806, 2988, 4095, 4648, 5782, 7212, 7743, 489, 2064, 3028, 3662, 4246, 5795, 7198, 7313, 105, 1876, 2356, 4166, 4412, 5500, 7168, 8080, 731, 1753, 2383, 3711, 4954, 5778, 7043, 8128, 856, 1896, 2514, 3903, 4875, 5603, 7182, 8219, 1065, 1755, 2872, 3258, 4773, 5706, 6371, 7442, 767, 1905, 2345, 3364, 4916, 6222, 6724, 7904, 831, 1717, 2403, 4093, 4338, 5650, 7058, 8126, 731, 1415, 2134, 3352, 4186, 5366, 7230, 8261, 304, 1175, 2924, 4152, 4186, 5873, 7120, 8188, 1033, 1120, 2905, 3899, 4470, 6171, 6333, 7878, 223, 1562, 2905, 3390, 5129, 6103, 7006, 7485, 970, 1388, 2391, 4151, 4808, 5413, 6349, 8098, 970, 1668, 2905, 4106, 5007, 6199, 7023, 7941, 692, 1596, 2377, 3530, 4887, 5446, 6962, 7476, 920, 1830, 3040, 3348, 4719, 6114, 7053, 7981, 1029, 1897, 2687, 3833, 4612, 5788, 6582, 7438, 304, 2079, 2729, 3982, 4291, 6123, 6694, 7290, 390, 1540, 3008, 3866, 4856, 5590, 6979, 7260, 1097, 1873, 2991, 4006, 5020, 6205, 6891, 7908, 914, 1939, 3064, 3516, 4583, 6103, 6972, 8196, 512, 1945, 3095, 4108, 5165, 6195, 6852, 8237, 143, 1773, 2754, 4092, 4691, 5836, 7012, 7510, 893, 2035, 2265, 4164, 4860, 5711, 6963, 7602, 867, 1503, 2540, 3563, 4961, 5298, 6706, 7810, 326, 1503, 2474, 3177, 4364, 6088, 7056, 7581, 410, 1346, 2308, 3213, 5123, 5738, 6684, 7799, 1052, 1503, 2751, 4075, 4339, 5383, 6440, 7541, 100, 1934, 2455, 3851, 4847, 5641, 6637, 7642, 508, 1208, 2872, 3721, 4607, 6060, 6281, 7275, 1094, 1683, 2869, 3310, 4941, 5983, 6632, 7657, 482, 1503, 2321, 3849, 4436, 5960, 6560, 8061, 641, 1503, 2774, 3901, 4748, 5339, 6588, 7855, 750, 1503, 3140, 3413, 4332, 5557, 6289, 7919, 776, 1562, 2882, 3425, 4446, 5395, 6980, 7537, 373, 1363, 2941, 3901, 4387, 5526, 6455, 8195, 424, 1865, 3005, 4059, 4462, 5614, 6620, 7673, 510, 1998, 2729, 3990, 4980, 5901, 7111, 7948, 555, 2017, 3021, 4085, 4713, 5630, 6979, 8083, 153, 2034, 2139, 3838, 4870, 6171, 7235, 7876, 183, 1858, 2221, 3754, 4762, 6085, 6486, 7303, 568, 2059, 2151, 3470, 4780, 5963, 6612, 7480, 552, 1332, 2946, 3391, 4536, 6137, 6613, 8185, 488, 1684, 2946, 3803, 4423, 6129, 6604, 8236, 201, 1528, 3117, 4145, 4888, 6205, 7124, 8223, 860, 1528, 3117, 3367, 4888, 6139, 7077, 8223, 488, 2017, 3117, 3367, 4624, 5635, 7124, 8223, 488, 2017, 3117, 3825, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2806, 3367, 4624, 6081, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1648, 2914, 4071, 4798, 6186, 6752, 8196, 915, 2017, 2970, 3367, 4681, 5635, 7226, 7766, 555, 1684, 3064, 4006, 4512, 6139, 7120, 8076, 555, 1684, 2970, 3391, 4387, 5635, 7152, 8196, 915, 2017, 2858, 4145, 4798, 5635, 6996, 8080, 555, 1684, 2970, 4166, 5166, 6081, 7120, 8076, 915, 1684, 2970, 3391, 4681, 5534, 7207, 8126, 915, 1623, 2806, 3893, 4512, 6137, 6996, 8126, 915, 1147, 2806, 4168, 4681, 5635, 6584, 8147, 488, 1528, 2970, 3827, 4624, 5219, 6688, 7766, 488, 1528, 2970, 3827, 4624, 6139, 6589, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7226, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 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, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 419, 1750, 3110, 4071, 4798, 6129, 7124, 7723, 240, 1623, 2718, 3413, 4983, 5378, 7078, 7723, 499, 1958, 2231, 3924, 4417, 5504, 6622, 7798, 184, 1685, 3116, 3218, 4455, 5280, 6910, 7261, 616, 1685, 2346, 3521, 4539, 5482, 6683, 7393, 650, 1112, 2940, 3937, 4546, 5800, 6325, 8250, 804, 1186, 2136, 3268, 4237, 6175, 7107, 8164, 914, 1700, 2947, 3363, 4782, 5911, 7058, 8070, 757, 1817, 2661, 3595, 4945, 5526, 6607, 7795, 541, 1905, 3147, 3831, 4411, 5918, 6944, 8200, 195, 1971, 3042, 3555, 4374, 5719, 6749, 7279, 276, 1905, 2341, 3782, 4423, 5598, 6716, 8261, 195, 2127, 2341, 3993, 4870, 5520, 7007, 7509, 195, 1623, 3059, 3994, 5112, 5296, 7241, 7549, 195, 1286, 2469, 4124, 5160, 5784, 6615, 7477, 518, 2034, 3062, 3277, 4993, 5352, 6576, 7899, 171, 2097, 2886, 3478, 5088, 6160, 7207, 7586, 488, 1961, 3021, 4145, 4704, 6137, 6291, 8126, 419, 1750, 2792, 4145, 5166, 6137, 6338, 8126, 915, 1622, 2914, 4174, 4555, 5612, 7226, 8080, 473, 1304, 2709, 3886, 4583, 6129, 7144, 8103, 707, 1752, 2398, 4085, 4411, 6093, 6249, 8234, 757, 1865, 2836, 3994, 5138, 5589, 6242, 8117, 304, 1596, 2718, 3987, 4470, 5210, 7114, 8164, 160, 1145, 2783, 3273, 4287, 5425, 6671, 7913, 1071, 1614, 2867, 3961, 5020, 5734, 7013, 7896, 115, 1415, 2196, 3169, 4201, 6037, 6741, 8150, 113, 1461, 2953, 3399, 4795, 5648, 7067, 7361, 1068, 1882, 2527, 3568, 4734, 6122, 6708, 7962, 920, 1916, 2288, 3767, 4702, 5648, 6804, 8057, 918, 1164, 2779, 3596, 4949, 5523, 6623, 7481, 487, 2114, 2309, 3696, 4673, 5943, 6547, 7476, 516, 1834, 2710, 3518, 5040, 5551, 7241, 8117, 750, 1706, 2991, 3732, 4482, 5727, 6910, 7367, 516, 1763, 2610, 3218, 4255, 5574, 6654, 7913, 750, 1653, 2543, 3513, 4501, 5285, 6284, 8045, 891, 1280, 2992, 3251, 4954, 5960, 7082, 7586, 940, 1873, 2340, 3914, 4630, 5219, 6884, 8209, 211, 2021, 2980, 4085, 4430, 6195, 7207, 7260, 390, 1620, 2980, 3717, 4622, 6129, 7019, 7870, 211, 1275, 2980, 3963, 5098, 6025, 6988, 8185, 160, 1255, 3008, 3982, 5038, 5730, 6604, 7821, 390, 1581, 2980, 4011, 4630, 5840, 7132, 7821, 1071, 1171, 2886, 3822, 4978, 5610, 6840, 7494, 183, 1139, 2945, 4007, 5040, 5802, 6840, 7480, 225, 1885, 2928, 3987, 5135, 5557, 7237, 7973, 225, 2060, 2221, 3298, 5120, 6051, 6909, 7776, 225, 2060, 2659, 3595, 4681, 5942, 6308, 7706, 225, 1252, 3028, 3827, 5138, 5942, 6889, 8126, 654, 1210, 2992, 3689, 5053, 5581, 6858, 7920, 874, 1750, 2833, 3595, 4942, 5296, 6474, 7636, 568, 1858, 3062, 3550, 5007, 5550, 7239, 7602, 153, 1839, 2718, 3595, 4265, 5687, 6671, 8126, 132, 1590, 2654, 4168, 5120, 6050, 6558, 8057, 859, 1381, 2781, 3838, 4470, 5677, 7220, 7421, 859, 1752, 3035, 4166, 5150, 6000, 7160, 7965, 1015, 1876, 2709, 3886, 4555, 6195, 6562, 7869, 256, 1653, 2740, 3236, 5150, 5536, 6249, 8006, 1059, 1112, 2783, 4103, 4818, 5307, 6625, 7402, 189, 1942, 2751, 3771, 4845, 5468, 7140, 8171, 806, 1112, 2791, 3968, 5096, 5408, 7140, 8092, 487, 1742, 2695, 3535, 4455, 5637, 6308, 8035, 995, 1561, 2669, 3892, 4588, 5800, 6706, 7748, 319, 1126, 2669, 4007, 5040, 6141, 6535, 8140, 803, 2034, 2487, 3231, 4426, 5441, 7141, 7311, 331, 1842, 3017, 3870, 4229, 5585, 6350, 7349, 1063, 1706, 2336, 3190, 4598, 5519, 6638, 7476, 891, 1560, 3147, 3766, 4805, 5639, 6397, 7678, 715, 1821, 2251, 3453, 4644, 5935, 6251, 7880, 1022, 2021, 2566, 3711, 5090, 5752, 6238, 7568, 750, 1858, 2444, 3817, 4343, 5776, 6671, 8092, 663, 1635, 2566, 3410, 5146, 5263, 6349, 7480, 484, 2041, 2775, 3645, 4374, 6051, 7091, 7664, 914, 2065, 2167, 3540, 4822, 6182, 7006, 7563, 186, 1508, 2996, 3440, 4912, 5219, 7084, 7876, 818, 1992, 2925, 3188, 4704, 5705, 7201, 7723, 935, 2017, 2730, 4068, 4624, 5883, 7006, 8237, 956, 1528, 3095, 3886, 4888, 6123, 7201, 7766, 558, 1293, 2867, 4135, 4318, 5461, 7208, 7769, 132, 2098, 2875, 4113, 4622, 5436, 6410, 7458, 579, 1865, 2968, 3954, 5083, 5813, 7152, 7255, 171, 2091, 2266, 4113, 5159, 5642, 7160, 8209, 955, 1351, 2936, 3836, 5197, 5540, 6938, 7720, 752, 1700, 2975, 4064, 4555, 5963, 6278, 8022, 752, 1682, 2941, 3767, 4876, 6021, 6913, 7398, 344, 1324, 2941, 3475, 4248, 5369, 6827, 7885, 913, 1994, 2440, 3850, 4428, 5289, 6528, 7471, 1038, 1865, 2584, 3637, 5171, 6192, 7015, 7628, 643, 1711, 2737, 3273, 4314, 5206, 6247, 8024, 1035, 2070, 2271, 3794, 4499, 5760, 6983, 7982, 643, 1711, 2345, 3314, 5100, 6128, 6918, 7448, 1035, 1898, 2718, 3371, 4592, 5462, 6631, 7717, 643, 1906, 2389, 3894, 4379, 6076, 6321, 7881, 970, 1582, 2719, 3334, 4720, 6003, 6277, 7594, 641, 1205, 3056, 3710, 4756, 5283, 6657, 7264, 678, 1873, 2944, 3868, 4630, 5332, 6501, 7535, 1025, 1995, 3090, 4150, 4343, 6096, 6431, 7797, 1081, 1205, 2498, 3896, 4268, 5446, 6723, 7291, 940, 1449, 2998, 3954, 4501, 5397, 6809, 7718, 779, 1280, 2941, 4093, 5141, 5673, 6992, 7881, 984, 1869, 2941, 4011, 4987, 6146, 6646, 7591, 935, 2032, 2960, 3982, 5139, 6195, 6750, 8260, 132, 2032, 3143, 3803, 4987, 6129, 7201, 7870, 186, 2017, 2914, 4171, 4980, 5210, 7230, 8147, 818, 1508, 3007, 3982, 4782, 5635, 7201, 7949, 488, 1622, 2914, 3893, 4630, 6081, 7084, 8147, 488, 1622, 3117, 3367, 4980, 6139, 6972, 8196, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2914, 3827, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3827, 4624, 6139, 6794, 7766, 488, 1648, 2914, 3827, 4512, 6139, 7124, 8237, 915, 1468, 2970, 3914, 4798, 5767, 6589, 8126, 488, 1528, 2970, 3391, 4624, 5892, 6794, 8223, 4, 2 ]
[ 1, 43, 73, 5, 11, 63, 5, 54, 16, 62, 57, 52, 77, 16, 54, 78, 5, 14, 66, 5, 31, 33, 63, 5, 66, 63, 39, 30, 5, 5, 3, 915, 2106, 2858, 3815, 4536, 6211, 7181, 7865, 555, 2111, 2858, 3391, 5159, 5241, 7129, 7732, 555, 2065, 2806, 3391, 5007, 5981, 6809, 7732, 915, 2111, 2806, 4174, 4622, 6139, 6996, 7485, 488, 2017, 3117, 3891, 4798, 6139, 6515, 7485, 142, 1528, 2806, 3825, 4704, 6139, 7077, 7766, 488, 1622, 2164, 4018, 4624, 6211, 7226, 8196, 555, 1844, 2806, 4171, 4366, 5219, 7077, 8076, 132, 1833, 2163, 4039, 4870, 5646, 6612, 8083, 216, 1919, 2163, 4106, 4651, 6063, 7232, 8236, 685, 1672, 2998, 3356, 4598, 5532, 6935, 7549, 608, 1206, 2464, 3420, 4873, 5570, 6224, 7905, 781, 1550, 3121, 3251, 4706, 5365, 7173, 7490, 150, 2048, 2923, 3505, 4264, 5251, 7146, 8050, 1029, 1867, 2437, 3643, 4996, 5368, 7232, 7554, 1029, 1518, 2137, 3167, 4485, 5473, 6622, 8248, 536, 1290, 2612, 3167, 4501, 5339, 6612, 7889, 299, 1290, 2643, 4128, 4810, 5315, 7232, 8081, 888, 1630, 2286, 4173, 5100, 5716, 7046, 7527, 436, 1633, 2476, 3567, 5050, 5668, 6373, 8085, 738, 1244, 2974, 3388, 4422, 5872, 6917, 8256, 1030, 1248, 2520, 3220, 4734, 5285, 6935, 8020, 113, 1156, 2409, 3603, 4259, 5414, 6866, 8099, 531, 2008, 3029, 3974, 4571, 6067, 6507, 7634, 558, 1393, 2327, 3758, 4873, 5938, 7112, 8171, 558, 1893, 2156, 3434, 4279, 6223, 6761, 7861, 465, 1593, 3054, 3736, 4462, 5818, 6442, 8190, 895, 1326, 2242, 4099, 5195, 5614, 6474, 8270, 271, 1828, 2874, 3875, 4304, 5854, 6635, 7894, 1025, 1828, 2877, 3631, 4777, 5965, 6899, 7533, 610, 1269, 2688, 3416, 4282, 6006, 6348, 8167, 424, 1306, 3053, 3187, 4374, 5202, 6908, 7537, 887, 2036, 2429, 3952, 4556, 6014, 6347, 7687, 104, 1773, 2492, 3229, 4617, 5908, 7006, 7421, 1025, 1146, 2440, 3915, 4695, 6027, 7129, 7256, 610, 1238, 2440, 3162, 4203, 5221, 7207, 7846, 465, 1828, 2869, 3562, 4774, 5780, 6783, 8073, 1052, 1703, 2452, 4021, 5110, 5443, 6627, 8233, 1067, 1633, 2845, 4004, 4717, 5505, 6792, 8117, 510, 1322, 3150, 4067, 5159, 5548, 7047, 7437, 1097, 1238, 3064, 3990, 4551, 5216, 7084, 8179, 186, 1620, 2391, 4108, 4366, 6051, 7160, 8066, 818, 1804, 2781, 3945, 4551, 5687, 7084, 7557, 935, 1791, 2803, 3710, 5080, 6051, 6972, 7948, 427, 1791, 2936, 4174, 4822, 5610, 7160, 7992, 120, 1633, 2701, 3704, 4867, 5514, 7232, 7547, 473, 2045, 2971, 3994, 5044, 6205, 6848, 7901, 752, 1469, 3038, 4153, 4565, 5288, 6790, 7263, 633, 1318, 3149, 3536, 4915, 5295, 6711, 7462, 900, 1667, 3090, 4022, 4454, 5819, 7184, 7689, 864, 1156, 3097, 3808, 4545, 5313, 6807, 7900, 556, 2095, 3094, 3880, 4706, 5335, 6351, 7423, 1036, 1469, 2449, 3991, 4234, 5938, 6623, 7527, 864, 2089, 2966, 4128, 4902, 5588, 6695, 7712, 1008, 1912, 3040, 3388, 4381, 5650, 6240, 7687, 1016, 1912, 2320, 3727, 4278, 5746, 7232, 7929, 277, 1440, 3015, 3752, 5193, 6154, 6404, 7929, 1047, 1912, 2137, 3226, 4994, 6146, 6566, 7996, 537, 2066, 2743, 4128, 5079, 5935, 7218, 7279, 373, 1566, 2944, 3767, 4441, 5678, 7232, 8159, 923, 1407, 2678, 3937, 5097, 6181, 7133, 7768, 1029, 1826, 2232, 4096, 5095, 6144, 7160, 7664, 986, 1570, 2704, 3824, 4467, 5938, 6241, 8197, 887, 1550, 2801, 3948, 5124, 5651, 6348, 7531, 103, 1808, 2559, 3764, 5166, 5276, 6813, 7748, 756, 1942, 2250, 3669, 4555, 5918, 6814, 7910, 103, 1581, 2426, 4166, 4596, 6135, 6397, 7660, 103, 2107, 2566, 3218, 4266, 5810, 6435, 7962, 103, 2105, 2974, 3421, 4635, 6180, 6708, 7324, 952, 1570, 2498, 3913, 5072, 5390, 7187, 7673, 585, 1706, 3020, 4085, 4364, 5541, 6576, 8170, 844, 2099, 2218, 3631, 4834, 5928, 6625, 8248, 1084, 2099, 2867, 4007, 5135, 5684, 6962, 8055, 1062, 1826, 2498, 3643, 5157, 5468, 6740, 8102, 211, 1876, 2716, 3593, 4792, 5824, 6982, 7367, 304, 1978, 3098, 3593, 4690, 5449, 7058, 7862, 1025, 1494, 2750, 3932, 4426, 5981, 6709, 7811, 1025, 2055, 2661, 4096, 4467, 5641, 6283, 8066, 610, 2055, 2440, 3575, 4925, 6164, 6702, 7971, 1025, 1692, 2429, 3819, 4379, 6095, 7152, 7676, 271, 2001, 2144, 4145, 4335, 5767, 6224, 7384, 271, 1554, 2346, 3216, 5144, 5730, 6911, 7693, 845, 1299, 2346, 3618, 4364, 6001, 6286, 7402, 1014, 1577, 3091, 4072, 4654, 6155, 6443, 7929, 240, 1918, 2529, 3995, 4945, 5792, 6736, 8048, 256, 2012, 3110, 3595, 4764, 5276, 6410, 8118, 518, 1205, 2760, 3580, 4344, 6001, 6369, 7905, 518, 1945, 2529, 3692, 4330, 5652, 7219, 7669, 211, 1918, 2565, 3488, 4982, 5678, 7165, 7542, 759, 1397, 3076, 3484, 4757, 6171, 7163, 8209, 875, 1510, 2769, 3943, 5118, 5787, 7169, 7590, 161, 1494, 2486, 3394, 4539, 5570, 6249, 7490, 774, 1494, 2346, 3765, 4715, 5643, 6926, 7954, 1041, 2009, 2346, 3647, 4228, 5291, 6807, 7591, 459, 1149, 2346, 3741, 4953, 5955, 6474, 7985, 776, 1507, 2583, 3394, 4897, 5303, 6623, 7652, 914, 1777, 2946, 3932, 4551, 5983, 6612, 8083, 935, 1218, 3109, 3909, 5038, 5767, 7207, 7876, 935, 2111, 3135, 3982, 4828, 6051, 7239, 7870, 935, 2111, 3135, 3803, 5061, 5832, 6852, 7948, 984, 1851, 3135, 3891, 5038, 5832, 6891, 7887, 935, 2111, 2834, 3945, 4622, 5694, 6979, 7764, 403, 2025, 2444, 3225, 4993, 5220, 6683, 7664, 641, 1508, 2959, 3543, 4437, 5470, 6689, 7801, 392, 1653, 2652, 3298, 4978, 6003, 6376, 7424, 897, 1507, 2346, 3353, 4315, 6034, 6736, 7967, 1019, 1283, 2483, 3764, 4875, 5512, 6608, 7592, 1019, 1771, 2346, 3741, 4826, 5264, 6651, 7415, 1019, 2053, 2436, 3764, 4467, 6002, 6493, 7436, 1019, 2053, 2346, 3915, 4826, 5408, 6883, 7750, 1019, 2053, 2436, 3326, 4804, 5656, 6894, 7955, 992, 1703, 2487, 3601, 4337, 5695, 6345, 7896, 774, 1296, 2487, 3601, 5074, 5347, 7229, 8110, 1066, 1472, 2987, 3402, 4459, 5565, 6732, 7892, 759, 2095, 2273, 3714, 4205, 5441, 6966, 8046, 373, 1510, 2326, 3392, 5061, 5973, 6411, 7636, 1097, 1858, 2746, 3819, 4630, 5901, 6776, 8267, 859, 1851, 3008, 3645, 4181, 6129, 6604, 7677, 859, 1924, 2803, 3900, 5166, 5515, 7098, 7570, 859, 1175, 3021, 3838, 4630, 6129, 6338, 8266, 541, 1750, 2880, 3391, 4358, 5610, 6750, 8066, 568, 2034, 2282, 3662, 4900, 5918, 7150, 8132, 568, 1313, 3026, 4015, 5184, 6154, 6756, 7869, 153, 1596, 2669, 4006, 5167, 5734, 7228, 7649, 1102, 1736, 3054, 3307, 4861, 5982, 6848, 7532, 650, 1407, 2397, 3671, 4993, 5442, 6615, 8085, 1029, 1208, 2568, 3955, 4198, 6125, 6301, 7439, 536, 1402, 2848, 3443, 4993, 5961, 6970, 8045, 840, 1842, 2848, 3443, 5049, 5518, 6507, 7954, 123, 2009, 2848, 4095, 5055, 5337, 7063, 7538, 807, 1628, 2349, 4019, 5004, 5938, 6958, 7483, 1101, 2008, 3104, 3261, 4684, 5976, 6770, 8065, 363, 1806, 2439, 3218, 5025, 6035, 7003, 7437, 884, 1164, 2900, 3764, 4321, 5616, 6431, 8141, 1101, 1637, 3104, 3756, 5148, 6118, 6847, 8140, 840, 1550, 2638, 3770, 5015, 5825, 6235, 8149, 807, 2024, 2593, 3970, 4981, 5594, 6224, 7524, 545, 1688, 2346, 3172, 4344, 6155, 6781, 8211, 986, 1747, 2885, 3939, 4929, 6002, 6478, 8170, 1025, 1550, 2766, 3329, 4606, 5651, 7241, 8253, 643, 1550, 2797, 4147, 4539, 5870, 6842, 7490, 150, 1550, 3029, 3358, 4683, 5978, 6224, 7519, 887, 1397, 3061, 4162, 5077, 5719, 6871, 8212, 103, 2107, 2941, 3962, 4717, 5810, 7137, 8132, 610, 1116, 2801, 3864, 4321, 5443, 7232, 7298, 103, 2036, 2945, 3764, 4334, 5298, 6818, 7962, 955, 1942, 2293, 4097, 4635, 5200, 6892, 7545, 211, 1553, 2480, 3990, 4993, 5441, 7010, 7344, 804, 1685, 2833, 3710, 5095, 5844, 6414, 7723, 1097, 1508, 2582, 3945, 4782, 6103, 6996, 8179, 684, 2046, 3064, 3916, 4630, 5705, 6589, 8076, 804, 1791, 2806, 4108, 5183, 6205, 6786, 7908, 308, 1218, 2925, 3188, 5159, 5883, 7207, 7949, 1088, 1320, 2326, 3309, 4439, 6164, 6810, 7677, 902, 1286, 2587, 4125, 4691, 5594, 6391, 7453, 397, 1821, 2513, 4125, 4985, 6171, 7102, 7826, 730, 1510, 2218, 3254, 4449, 5629, 6603, 8128, 693, 1706, 2520, 3615, 5188, 5694, 6507, 7896, 603, 1623, 2924, 3751, 4555, 5925, 6663, 7816, 804, 1623, 2669, 3908, 4856, 5792, 7004, 8164, 1097, 1467, 2833, 4170, 5088, 6025, 6809, 8061, 186, 2111, 2946, 4108, 4918, 6137, 6584, 8260, 945, 1528, 3065, 4071, 4704, 5635, 7207, 8223, 488, 2017, 2806, 4071, 4624, 6139, 7077, 8223, 818, 2017, 3110, 3893, 4624, 6186, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 4, 2 ]
[ 1, 64, 17, 29, 5, 14, 78, 5, 43, 48, 5, 64, 20, 5, 44, 54, 5, 31, 16, 5, 64, 66, 63, 48, 66, 64, 5, 5, 3, 201, 2097, 2560, 3917, 4870, 5678, 6604, 8236, 228, 1623, 2833, 3376, 4556, 5521, 7006, 7477, 240, 2127, 2946, 3798, 4700, 5500, 7197, 8061, 654, 2106, 2970, 4125, 5159, 5385, 6607, 8236, 518, 1961, 2271, 4083, 4344, 5549, 7237, 7604, 518, 2127, 2341, 3291, 5079, 5624, 6515, 7303, 256, 1684, 3143, 3550, 4715, 5310, 6515, 8262, 967, 2046, 2554, 3891, 4525, 6171, 7058, 7563, 1071, 1509, 2238, 3669, 5139, 5795, 6595, 8224, 1017, 1116, 2848, 3751, 4717, 6126, 6383, 8194, 493, 1653, 2979, 3232, 4995, 5889, 6226, 8128, 730, 1108, 2751, 3889, 4802, 5480, 7231, 7637, 952, 1555, 2410, 3265, 5091, 5983, 6442, 7442, 103, 2107, 2210, 3548, 4417, 5721, 6997, 7478, 1097, 1752, 3064, 3205, 4557, 5294, 6588, 7776, 818, 2068, 2949, 3891, 5038, 5210, 7207, 7557, 105, 1304, 2988, 4115, 4437, 5886, 6443, 7563, 225, 2034, 3064, 3777, 4622, 5650, 6966, 7252, 225, 1289, 2833, 3838, 5079, 5493, 6338, 7838, 757, 1289, 2656, 3900, 4329, 5836, 6715, 7932, 216, 2106, 2885, 3731, 4225, 5212, 6755, 7537, 459, 1820, 2251, 3298, 4602, 5276, 6725, 7728, 459, 1442, 2251, 3219, 4598, 5415, 7192, 7954, 620, 1832, 2370, 3790, 4285, 5353, 7094, 7980, 1024, 1918, 2238, 3790, 4604, 5697, 7090, 8156, 1059, 1660, 2759, 3485, 4705, 6181, 6627, 7516, 228, 1458, 2724, 3588, 4834, 5694, 6736, 8171, 518, 1430, 2398, 3824, 5034, 6113, 7173, 7254, 654, 1182, 2360, 3376, 4470, 6110, 6895, 7664, 518, 1406, 3032, 3586, 5048, 5557, 6668, 8191, 453, 1333, 2976, 4157, 5120, 5765, 7235, 8254, 708, 1942, 3079, 3182, 4219, 5590, 6696, 7782, 211, 1831, 2432, 3811, 4983, 6215, 7048, 7476, 160, 1640, 2655, 3516, 4539, 5624, 7065, 7823, 390, 1553, 2327, 3442, 4289, 5610, 6464, 7916, 103, 1944, 2741, 4079, 5183, 5202, 6224, 8086, 211, 1685, 2421, 3159, 4841, 5587, 6740, 7745, 779, 1768, 2484, 4025, 4209, 5202, 6612, 8061, 183, 1747, 2432, 3570, 5134, 5737, 7017, 7275, 568, 1147, 2809, 3603, 4433, 5904, 6689, 8156, 225, 1570, 2971, 3798, 4495, 5837, 7120, 7262, 654, 1695, 2971, 4111, 5182, 6142, 7207, 7563, 654, 1332, 2316, 3535, 4859, 5296, 6605, 8236, 228, 2060, 2806, 3931, 5138, 6205, 7024, 8214, 240, 1851, 3048, 3914, 4700, 5923, 7168, 7706, 240, 2002, 2356, 3535, 5088, 6175, 7120, 8147, 240, 1525, 3133, 3376, 5086, 5594, 7058, 7664, 518, 1750, 2833, 3838, 4638, 5514, 6615, 7720, 543, 1201, 2359, 3951, 5075, 5901, 6909, 7592, 356, 2097, 2716, 3870, 4329, 5385, 6272, 7660, 223, 1981, 2848, 3470, 4335, 5695, 6235, 8262, 154, 1838, 3003, 3286, 4214, 5891, 6948, 7622, 339, 1106, 2348, 3729, 4348, 5347, 6663, 7608, 917, 2050, 2902, 3445, 4668, 5414, 6234, 7968, 235, 1669, 3097, 3295, 4787, 5991, 6348, 8134, 235, 1919, 2441, 4078, 4672, 5746, 6670, 7962, 531, 1179, 2693, 3508, 5069, 6098, 6494, 7867, 693, 1469, 2349, 3700, 4259, 5919, 6762, 8078, 736, 1633, 2698, 3295, 4357, 5372, 7142, 7875, 693, 1582, 2583, 4073, 4833, 5945, 6915, 7805, 265, 1379, 3010, 3219, 4547, 5865, 6894, 7568, 981, 1379, 2658, 3219, 4995, 6094, 6492, 7812, 575, 1510, 2796, 3433, 5134, 5447, 6651, 7786, 996, 1164, 2734, 3714, 4220, 6140, 6402, 7737, 692, 1570, 3120, 3741, 4594, 5742, 6393, 7710, 504, 1286, 2924, 3424, 4555, 5509, 6340, 7795, 678, 1660, 2440, 3540, 4705, 5824, 6443, 7882, 955, 1944, 2298, 3537, 4746, 5981, 7220, 7962, 610, 1141, 2887, 3660, 4426, 5663, 7097, 8095, 1090, 1770, 2783, 3271, 4622, 5216, 7160, 7421, 390, 1770, 2508, 3201, 5115, 6094, 6646, 7557, 940, 1139, 2989, 3983, 5085, 5684, 6830, 7717, 1011, 1299, 2989, 3475, 4620, 5657, 6890, 7856, 844, 1507, 2629, 3855, 4483, 5313, 6348, 7989, 955, 1623, 3061, 3238, 4757, 5478, 6614, 7466, 571, 1635, 2542, 3990, 4287, 5678, 7010, 8016, 225, 1758, 2359, 4026, 4816, 5584, 7003, 8213, 225, 2127, 2775, 3376, 4648, 5580, 7090, 7397, 225, 1424, 2542, 3359, 4644, 5677, 7152, 7913, 225, 2061, 3068, 3844, 4541, 6101, 7090, 8261, 228, 1525, 2566, 3592, 4918, 5493, 7103, 8076, 228, 1108, 2858, 3674, 4398, 6015, 6291, 8080, 256, 1468, 2734, 3782, 4918, 5514, 6485, 7706, 789, 1345, 2941, 3851, 4536, 5609, 6251, 7838, 105, 1147, 2941, 3374, 5075, 5635, 7232, 7485, 617, 1147, 3018, 3374, 5159, 6057, 6612, 8266, 541, 1510, 2529, 3662, 4186, 5339, 6615, 7476, 541, 1758, 2395, 3771, 5097, 5650, 7024, 8266, 153, 1509, 3133, 4021, 4849, 5385, 7120, 7436, 685, 1324, 2763, 4096, 5139, 6051, 6892, 8260, 386, 1324, 2161, 3233, 4993, 5292, 7047, 7783, 1029, 1302, 2378, 3878, 4615, 6177, 6507, 7753, 314, 1286, 2734, 3711, 4321, 5976, 7062, 7904, 884, 1164, 2175, 3962, 4578, 5228, 6735, 7926, 986, 1717, 2897, 4080, 4215, 5745, 6235, 8169, 1081, 1674, 3126, 3521, 4604, 5504, 7230, 7488, 288, 1948, 2923, 3383, 4437, 5223, 6732, 7983, 940, 1858, 2203, 3391, 4651, 5223, 6752, 7570, 211, 1858, 3008, 4027, 4700, 6058, 6551, 8179, 288, 1809, 2946, 3472, 5106, 5586, 6810, 7948, 211, 2001, 3064, 4096, 4573, 5349, 7207, 8076, 1099, 2001, 2803, 4145, 4822, 5963, 7132, 8066, 818, 1963, 3008, 3990, 5058, 5241, 6589, 8267, 419, 2127, 2806, 3990, 5088, 5883, 6604, 7732, 228, 1264, 3000, 3550, 4859, 5892, 6810, 7303, 654, 1286, 2181, 3933, 4399, 5514, 7239, 8216, 518, 1570, 2659, 3966, 5053, 6205, 6988, 7563, 654, 1289, 2718, 3646, 5120, 5436, 6772, 8080, 225, 1750, 2316, 4125, 4638, 5963, 6757, 7693, 183, 1332, 2669, 3891, 5190, 5962, 7232, 7816, 419, 1528, 2970, 3376, 4344, 5935, 6810, 7664, 555, 2017, 2554, 3470, 4870, 5241, 7129, 7865, 945, 1528, 2806, 4071, 5138, 6081, 6752, 7485, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 201, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8196, 818, 1648, 2914, 3893, 4798, 6186, 6752, 8196, 555, 1528, 3006, 3914, 4387, 6085, 7152, 8260, 555, 1684, 2833, 3825, 4512, 5534, 7239, 8126, 555, 1684, 3064, 4171, 4512, 6081, 7152, 8147, 555, 1648, 3021, 3391, 4798, 5550, 6752, 7485, 555, 1648, 2554, 3827, 5007, 5811, 6996, 7485, 915, 1468, 2833, 4071, 5193, 5219, 6996, 8080, 555, 1147, 2164, 3891, 4512, 5635, 7077, 8196, 555, 1648, 3021, 3777, 5007, 5219, 6752, 8076, 555, 1648, 2833, 3777, 4622, 5677, 6604, 7766, 555, 2111, 2554, 3374, 4583, 6137, 6772, 7716, 555, 2111, 3064, 3391, 5060, 5550, 6752, 8080, 555, 1468, 2164, 4153, 4859, 5586, 7084, 7664, 555, 2111, 2554, 3374, 4822, 5635, 7069, 7732, 4, 2 ]
[ 1, 76, 48, 5, 76, 45, 52, 5, 42, 57, 5, 66, 73, 5, 20, 52, 5, 76, 26, 52, 63, 16, 62, 24, 64, 44, 55, 5, 51, 17, 54, 66, 63, 47, 78, 5, 5, 3, 186, 2088, 3144, 3891, 5159, 5305, 7239, 8147, 484, 2088, 2806, 3932, 5060, 5635, 7098, 7706, 337, 2032, 2860, 4068, 4980, 5241, 6891, 7500, 186, 2032, 2493, 4068, 5159, 6182, 6953, 8093, 142, 1622, 2806, 4174, 4704, 5901, 6996, 8147, 142, 1528, 2914, 3893, 4366, 5241, 7077, 8223, 915, 1381, 2806, 3914, 5080, 5635, 7006, 8223, 955, 1827, 2960, 4166, 4215, 6205, 6972, 7918, 271, 1315, 2965, 3400, 5012, 6050, 7237, 7492, 547, 1674, 2295, 4110, 4477, 5380, 7008, 7767, 668, 1723, 2387, 4139, 4807, 5279, 6658, 8226, 234, 1299, 3080, 3756, 4189, 5624, 6377, 7921, 137, 1510, 2867, 3731, 4434, 5396, 6240, 8114, 315, 1299, 2867, 4057, 4862, 5652, 7227, 7494, 344, 1305, 2867, 3233, 4799, 5803, 6710, 7487, 722, 2050, 2868, 4128, 5106, 5914, 6644, 7305, 216, 1972, 2137, 3557, 4361, 5333, 7181, 7344, 1047, 1499, 2360, 4168, 4239, 5515, 6985, 7570, 948, 1363, 2554, 3856, 4215, 5534, 6677, 7865, 1024, 1305, 2137, 3378, 4971, 5395, 6474, 7638, 547, 1503, 2137, 3393, 5032, 5441, 6796, 8000, 92, 1199, 2934, 4128, 4873, 5836, 7190, 7903, 332, 1814, 2137, 3817, 4298, 6020, 6706, 7950, 547, 2067, 2137, 3293, 4459, 5863, 6615, 8167, 779, 1886, 2137, 4073, 5120, 5975, 6623, 7264, 684, 1173, 2254, 3826, 4334, 5793, 6776, 7508, 512, 1773, 3144, 3962, 5073, 5515, 7120, 8078, 512, 2046, 2167, 3540, 4912, 6051, 7201, 8236, 401, 1964, 3095, 3352, 4630, 5752, 7114, 8030, 271, 1396, 2646, 3573, 5150, 5840, 6443, 7270, 538, 1828, 2311, 3457, 4440, 6183, 6379, 7516, 332, 1531, 2395, 3401, 4760, 6096, 6519, 8167, 1036, 1305, 2680, 3552, 4416, 5477, 6706, 8000, 864, 1843, 2137, 3500, 4994, 5362, 6706, 7405, 668, 1469, 2464, 3654, 4621, 6031, 6344, 7820, 1008, 1691, 2137, 3843, 4729, 6077, 7198, 7593, 938, 1838, 2321, 3227, 4545, 5851, 6894, 7649, 779, 1770, 2282, 3767, 5003, 5677, 6834, 8006, 833, 1141, 2321, 3426, 5125, 5555, 6338, 7284, 403, 1809, 3026, 4107, 5088, 5921, 6296, 7878, 818, 1467, 2899, 3206, 5058, 5219, 7239, 7706, 427, 1992, 3128, 4174, 5061, 6014, 7006, 7677, 757, 1964, 2860, 3188, 4849, 6175, 7237, 7485, 195, 1695, 2593, 4141, 4275, 6217, 7090, 7992, 757, 1552, 2328, 3588, 4282, 5609, 6680, 8079, 373, 1281, 3043, 3928, 4470, 5219, 6988, 8149, 392, 1972, 2429, 3732, 4546, 5500, 6844, 7822, 1008, 1723, 2309, 3159, 4830, 5946, 7008, 7781, 1011, 1318, 3061, 3464, 4477, 6000, 7030, 8157, 678, 1874, 2224, 3371, 4859, 5337, 6725, 8267, 1051, 1315, 2866, 3931, 4181, 5832, 6467, 7547, 427, 1812, 2326, 4146, 4870, 5204, 6771, 8185, 427, 1363, 2957, 4011, 4856, 5630, 6979, 7473, 186, 1175, 3007, 3710, 4630, 6085, 7006, 7631, 935, 2017, 2925, 3909, 4798, 6081, 6786, 8196, 935, 1856, 2746, 3866, 4798, 6205, 7132, 7720, 1051, 2032, 2984, 4085, 5080, 5288, 7230, 7591, 110, 2028, 2985, 3361, 5171, 6222, 7158, 7720, 371, 1418, 2369, 3345, 4829, 6121, 6265, 8064, 1103, 1215, 2361, 3182, 5188, 5500, 6426, 7337, 876, 1325, 2692, 3868, 4852, 6015, 6925, 7747, 748, 1270, 2361, 4013, 4271, 5568, 6458, 8189, 1017, 1325, 2835, 3890, 4383, 5695, 6351, 7502, 302, 1213, 2648, 3419, 4606, 5480, 6685, 8208, 775, 1542, 2861, 3433, 4444, 5448, 6256, 8251, 763, 1988, 2198, 3868, 4446, 5253, 6395, 7990, 763, 1530, 2347, 3577, 4678, 6126, 6628, 7360, 472, 1205, 2260, 3432, 4748, 6145, 6490, 7746, 1030, 1621, 2189, 3924, 4410, 6158, 6390, 7997, 1030, 1912, 2612, 3179, 4642, 5409, 6637, 7827, 938, 2124, 2827, 3239, 4887, 5881, 6995, 8010, 235, 1691, 2782, 3924, 4966, 5945, 6672, 7274, 736, 1543, 2198, 4015, 4531, 5512, 6466, 8131, 888, 1469, 3018, 3474, 4866, 5894, 6383, 7680, 917, 1469, 2349, 4130, 4518, 5960, 6944, 7924, 333, 2120, 2189, 3880, 4640, 6042, 7057, 7318, 917, 1179, 2191, 3790, 4315, 5512, 7208, 7796, 876, 1469, 2727, 4126, 4591, 5970, 6878, 8149, 150, 1969, 2173, 3187, 4772, 5722, 6346, 7623, 1022, 2036, 3146, 3790, 5027, 5917, 6579, 7797, 1030, 1919, 2175, 3536, 4445, 5512, 6834, 7263, 776, 1469, 2796, 3778, 4855, 5985, 6599, 7814, 1022, 1939, 2822, 3429, 4604, 5976, 7103, 7864, 1016, 1326, 2307, 3869, 4722, 6118, 7236, 8088, 961, 1581, 3047, 3239, 4304, 5923, 7022, 8085, 1022, 1897, 2493, 3566, 4805, 5542, 6653, 7255, 110, 2003, 2498, 4133, 4274, 5999, 7213, 7452, 951, 1475, 2998, 3742, 5139, 5285, 6972, 7485, 833, 2028, 2984, 3793, 5096, 6075, 6820, 7720, 337, 1833, 3006, 3671, 4867, 5410, 7149, 7528, 132, 1963, 3007, 3803, 4287, 5630, 6750, 7807, 488, 2064, 2880, 3886, 5080, 5901, 7201, 8245, 186, 2017, 2746, 3803, 4782, 5661, 7111, 7723, 186, 2017, 2746, 3201, 5038, 6186, 7218, 8076, 935, 2017, 3095, 3825, 4822, 5241, 7077, 7766, 186, 2111, 3065, 3825, 5165, 5630, 7218, 7806, 186, 1528, 2164, 3893, 4387, 6081, 7124, 7876, 555, 2111, 2164, 3440, 4512, 5219, 7069, 7806, 555, 2111, 2554, 4171, 4890, 5901, 7218, 8076, 555, 2065, 2164, 4171, 5060, 5963, 6584, 8179, 186, 2073, 2164, 3825, 4624, 5635, 7077, 7948, 186, 2017, 2340, 3803, 4798, 6081, 7226, 8223, 337, 2017, 2164, 4171, 4624, 5241, 7077, 7290, 186, 1833, 2914, 3893, 4781, 5901, 6996, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4798, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3825, 4624, 6081, 7124, 7766, 756, 1874, 2951, 3843, 5166, 5740, 7041, 8107, 775, 1542, 2951, 3415, 4706, 6042, 6367, 7813, 1074, 1127, 2693, 3830, 4354, 5615, 6731, 7810, 829, 1542, 2431, 3856, 4550, 5970, 7194, 8046, 556, 1667, 2286, 3475, 4758, 5363, 6718, 7592, 98, 1641, 2437, 3598, 5023, 6018, 6780, 7265, 964, 1955, 2993, 4120, 4358, 5906, 6430, 7546, 1008, 1205, 2255, 3702, 4413, 6147, 7212, 7734, 992, 1582, 2141, 3430, 4350, 5338, 6438, 7783, 1038, 1672, 2564, 3427, 4455, 5375, 6640, 7663, 692, 2059, 3089, 3861, 4857, 5443, 6470, 8131, 1080, 1331, 2788, 3672, 4774, 5223, 6659, 7405, 1036, 1826, 2552, 3707, 4467, 6101, 6969, 8169, 862, 1858, 2570, 3943, 5118, 5993, 6672, 8216, 864, 1826, 2310, 3380, 4335, 5781, 6963, 7379, 668, 1828, 2384, 3611, 4237, 5361, 7159, 8252, 692, 1199, 2899, 3991, 5014, 5624, 6367, 7718, 938, 2043, 2316, 3607, 4887, 5437, 6765, 7787, 864, 2043, 2137, 3902, 5138, 6222, 7106, 7704, 1024, 2050, 3119, 3877, 4274, 6087, 6281, 8250, 1024, 1926, 2985, 4128, 4338, 6172, 6400, 8000, 547, 1440, 2592, 3411, 5096, 5687, 6762, 7873, 970, 1521, 2998, 3420, 4245, 5424, 6351, 8226, 970, 2035, 2785, 3556, 5079, 5631, 6966, 7360, 512, 1475, 3135, 3487, 4803, 6030, 7230, 7498, 1097, 2068, 2838, 4071, 4980, 5832, 7217, 7557, 186, 1992, 2164, 3945, 4912, 5241, 7218, 8179, 186, 1992, 2781, 3226, 5060, 5883, 7201, 8223, 186, 1992, 2781, 3825, 5058, 6085, 6852, 8260, 186, 1847, 2803, 3367, 4630, 6025, 6996, 8196, 415, 1965, 3147, 4103, 4419, 6184, 6790, 7256, 878, 1141, 2729, 3648, 4265, 5832, 7085, 7778, 166, 1141, 2912, 3487, 4801, 5783, 6524, 7939, 840, 2091, 2440, 3986, 4826, 6089, 7096, 7456, 975, 2059, 2161, 3768, 4878, 5589, 6533, 7939, 737, 1586, 2519, 3672, 4543, 5818, 6857, 7577, 585, 1948, 2215, 3305, 4651, 5811, 6679, 7591, 1102, 1806, 2422, 4055, 5151, 5576, 6895, 7670, 684, 1403, 2895, 3785, 4877, 5378, 6776, 7664, 684, 1581, 2801, 4114, 4630, 5210, 7090, 7717, 684, 1620, 2820, 3990, 4551, 5942, 7077, 7887, 288, 1945, 3043, 3982, 5101, 5694, 6668, 7764, 868, 1692, 3116, 3298, 4273, 5844, 6986, 7962, 271, 1164, 2506, 3909, 4664, 6163, 6683, 7962, 692, 1234, 2156, 3395, 4565, 5410, 6554, 8109, 504, 1509, 2163, 4102, 4667, 6010, 7112, 7402, 223, 1407, 2330, 3245, 4429, 5624, 7019, 8256, 643, 1305, 2137, 3675, 4912, 5873, 6777, 7331, 1025, 1499, 2515, 4106, 4427, 5216, 6234, 7468, 678, 1682, 2282, 3822, 4862, 5844, 6584, 8203, 887, 1826, 2678, 3695, 4799, 5768, 6689, 7679, 715, 2002, 2678, 3640, 4651, 5504, 7230, 8222, 225, 1570, 2792, 3366, 4732, 5914, 6520, 7813, 127, 2002, 3105, 4145, 4576, 5960, 6749, 7965, 518, 2002, 2941, 3564, 4181, 5716, 7207, 7532, 518, 1524, 2775, 3595, 4583, 5844, 7239, 7715, 228, 1304, 2992, 3900, 5167, 5844, 6331, 8080, 228, 2061, 3147, 3277, 4954, 5385, 7152, 7303, 513, 2061, 2542, 3277, 4654, 5590, 6717, 8267, 216, 1508, 2833, 3376, 4918, 5835, 7052, 7488, 1067, 1807, 2448, 3191, 5110, 6179, 6224, 7826, 363, 1561, 2455, 3517, 4459, 5656, 6663, 7490, 1004, 1550, 3003, 4132, 4669, 5322, 6403, 7468, 737, 1550, 3080, 4025, 4392, 5734, 6334, 7641, 582, 1653, 2661, 3394, 4321, 5218, 7061, 8129, 1025, 1141, 2867, 3642, 4415, 5350, 6383, 7646, 223, 2068, 2661, 4152, 5129, 5286, 6625, 7508, 1029, 1633, 2726, 4096, 4697, 5993, 6239, 7941, 887, 1269, 2365, 4027, 4743, 5589, 6538, 7976, 504, 1269, 2534, 3233, 5117, 6158, 7026, 8165, 1025, 1494, 2163, 3771, 4455, 5765, 7004, 8126, 271, 1708, 2868, 3615, 5193, 6063, 7065, 7868, 1025, 1379, 2429, 3771, 4379, 5527, 6426, 7383, 424, 1989, 2429, 4152, 4912, 6085, 6871, 7607, 308, 2000, 3007, 3932, 4993, 5259, 7010, 7806, 555, 2073, 2728, 4145, 4700, 6182, 6702, 8195, 427, 2084, 3092, 3201, 5080, 5413, 6830, 8267, 252, 1895, 3068, 3996, 4934, 5751, 6747, 7248, 617, 1684, 3105, 3917, 4638, 5824, 6528, 8130, 1102, 1421, 2771, 3552, 4691, 5378, 7149, 7393, 247, 1407, 2959, 3596, 4809, 5796, 7118, 7661, 602, 1151, 2436, 3448, 4466, 6020, 7001, 8022, 557, 1720, 3016, 3483, 4612, 5512, 6244, 7360, 896, 2101, 3055, 3323, 4800, 5223, 7140, 8149, 884, 2009, 2132, 3295, 5151, 6126, 6403, 7735, 1025, 1676, 2794, 3978, 4513, 5325, 6932, 7481, 271, 1510, 2519, 3793, 4717, 6123, 6525, 8227, 104, 1797, 2678, 3908, 5088, 6175, 7154, 8185, 104, 1797, 2678, 3901, 5070, 5825, 6393, 8047, 1025, 1349, 2429, 3457, 4426, 5978, 6820, 7927, 424, 1510, 3130, 3361, 4186, 5958, 6860, 7927, 308, 2111, 2369, 3771, 5073, 6146, 7090, 7992, 579, 2106, 3026, 3603, 4303, 5641, 6702, 7528, 874, 1971, 2181, 3795, 4983, 5672, 6734, 7574, 878, 1758, 2542, 3891, 5145, 5428, 6909, 7410, 757, 1758, 2991, 3880, 4863, 5792, 6786, 7524, 617, 2065, 2440, 4123, 4925, 5340, 6650, 7410, 859, 2065, 2783, 3662, 4801, 5981, 7103, 8066, 304, 1403, 2724, 3886, 4764, 5481, 7129, 8194, 891, 1510, 2963, 3402, 4229, 5911, 6520, 7494, 895, 1118, 3116, 3815, 5169, 5965, 6820, 7737, 992, 1349, 2610, 3687, 5089, 5490, 6500, 7438, 139, 1541, 2941, 3421, 5193, 5721, 6557, 7551, 995, 1186, 2480, 3416, 4571, 6178, 6816, 7898, 103, 2067, 2608, 3751, 5155, 6181, 6610, 8009, 103, 2067, 3038, 3873, 4224, 5548, 6444, 8061, 103, 2067, 2346, 3887, 4775, 5462, 6348, 7680, 103, 1120, 2346, 3217, 4437, 6041, 7059, 7980, 103, 2107, 2346, 3454, 4844, 6084, 7237, 7477, 103, 1931, 2346, 3352, 4949, 5962, 6963, 7617, 103, 1867, 2791, 4166, 4556, 5988, 6642, 7930, 103, 1847, 2346, 3658, 4379, 5828, 6567, 8183, 951, 1363, 2327, 3723, 4533, 5390, 6757, 7277, 1056, 1992, 2327, 3391, 5165, 5580, 6340, 8236, 288, 1834, 2837, 3838, 4261, 5678, 6382, 7838, 427, 1620, 2941, 3838, 4782, 6137, 6302, 7303, 789, 1791, 2210, 3217, 4189, 5381, 6840, 7538, 256, 1652, 2616, 3592, 4555, 5749, 6551, 7476, 228, 1332, 2970, 4125, 4850, 5503, 6963, 8262, 228, 1490, 2725, 4073, 4775, 5650, 6988, 8093, 228, 1750, 2335, 3550, 4329, 5493, 6671, 7723, 228, 1623, 2833, 3586, 4580, 6110, 6889, 7715, 228, 1332, 2487, 3586, 5138, 5372, 7120, 7660, 240, 1434, 2340, 3951, 5168, 5438, 6810, 7485, 543, 1851, 2596, 4125, 4700, 5792, 6979, 7563, 419, 1684, 2554, 3291, 4715, 5438, 6338, 7838, 818, 1623, 2833, 3391, 4862, 5534, 6889, 8076, 797, 1528, 2833, 3914, 5060, 5514, 7124, 7303, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8196, 201, 1528, 2806, 3893, 4704, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]
[ 1, 76, 45, 31, 5, 20, 52, 5, 31, 33, 63, 5, 64, 16, 52, 45, 64, 44, 66, 74, 30, 5, 5, 3, 797, 1648, 2781, 4174, 4704, 6211, 6709, 8147, 186, 2073, 3143, 3825, 4888, 6081, 7006, 7766, 488, 2032, 2164, 4068, 4704, 6139, 7124, 8196, 488, 1622, 2164, 4174, 5061, 5635, 7124, 8147, 510, 1668, 3143, 4071, 5038, 5832, 7124, 7723, 767, 2069, 2903, 3993, 5044, 5911, 7084, 7716, 166, 1527, 3151, 4005, 4545, 5613, 7080, 8268, 1004, 1966, 2207, 3399, 4565, 5557, 7096, 7503, 734, 1299, 2187, 3751, 4364, 6116, 6933, 7683, 399, 2059, 2583, 3581, 4364, 6055, 6625, 7994, 211, 1614, 2895, 3555, 4654, 5515, 6443, 7994, 684, 1897, 2975, 3891, 4983, 5210, 7207, 7288, 715, 1906, 3008, 3826, 4844, 5366, 7114, 8096, 1040, 1770, 2826, 3960, 4945, 5962, 6382, 7367, 83, 1740, 2483, 3596, 4203, 5269, 6539, 7542, 83, 1582, 2536, 3915, 4485, 5801, 7070, 7748, 344, 1582, 2973, 3184, 4483, 5332, 6965, 7963, 344, 1582, 2973, 4034, 4465, 5347, 6974, 7816, 83, 1721, 3090, 3779, 4748, 5668, 7101, 7369, 736, 1179, 2933, 4084, 4495, 5397, 6507, 7527, 917, 1633, 2842, 3685, 4953, 6126, 7140, 7303, 223, 1950, 3121, 4130, 5036, 5345, 6382, 7873, 339, 1779, 3090, 3343, 4814, 6019, 7053, 7843, 938, 1679, 2951, 3384, 4687, 5819, 6568, 8071, 938, 1156, 2951, 4087, 4406, 5362, 6469, 7527, 864, 1679, 2985, 3486, 4571, 6202, 6735, 7846, 277, 1152, 2605, 3567, 4911, 5970, 6409, 7900, 547, 1912, 2822, 3854, 4545, 5287, 6974, 7271, 277, 1997, 2680, 4155, 4678, 5257, 6293, 7598, 1008, 1922, 3011, 3254, 4205, 6208, 6234, 7728, 277, 1848, 2577, 3420, 5124, 5909, 6354, 7422, 1008, 1793, 2152, 3464, 5128, 5362, 6255, 8026, 1024, 1469, 2425, 3372, 4689, 6031, 6347, 8071, 1008, 1996, 2154, 3254, 5123, 6107, 6638, 7820, 512, 1833, 2137, 3819, 5135, 5848, 6761, 7949, 304, 2088, 2970, 4113, 4912, 6032, 6935, 7806, 537, 2073, 2803, 4113, 5092, 5840, 6254, 8080, 620, 1171, 2352, 3251, 5049, 5540, 6241, 7927, 498, 2118, 2282, 3571, 4702, 5589, 7227, 7712, 862, 1283, 2546, 3623, 5083, 5423, 6545, 7712, 668, 1283, 2550, 3492, 4942, 5298, 6469, 7678, 1019, 1755, 2725, 3159, 4964, 5828, 6498, 7825, 862, 1269, 2796, 3500, 4320, 6171, 7140, 7649, 1088, 1812, 2692, 3261, 4846, 5829, 6859, 7965, 756, 1981, 2221, 4112, 4872, 5574, 7115, 7468, 576, 1597, 2348, 3528, 4484, 5325, 7025, 7832, 225, 2067, 3006, 3900, 4267, 6007, 7069, 8262, 654, 1826, 2792, 3298, 4638, 5521, 6512, 7992, 518, 1621, 2359, 3470, 5157, 5624, 6414, 7965, 654, 1175, 2316, 3188, 5182, 5589, 7129, 7485, 228, 2111, 2316, 3933, 4715, 5519, 7188, 7313, 518, 1183, 2875, 4124, 4715, 5901, 7063, 7927, 568, 1503, 2287, 3376, 4870, 5590, 6889, 7303, 256, 1345, 3032, 3440, 4344, 5974, 6309, 8209, 1088, 1373, 3049, 3552, 5120, 6028, 6704, 7705, 664, 1509, 3090, 3941, 4720, 5787, 6530, 7542, 1036, 2050, 2455, 3794, 4621, 6183, 7068, 8047, 864, 1740, 2227, 3356, 4831, 5828, 6855, 8204, 864, 1183, 2796, 3356, 4651, 5697, 6449, 7596, 1047, 1183, 2710, 3429, 4807, 5475, 6592, 7497, 216, 1585, 2321, 4128, 5137, 5516, 6234, 7808, 942, 1596, 2365, 3394, 4533, 5431, 6677, 7629, 940, 1596, 2678, 4093, 5019, 5719, 6388, 7341, 927, 1719, 2798, 3680, 4609, 5599, 6966, 7402, 725, 1252, 3053, 4128, 4811, 5992, 6974, 7954, 862, 1206, 2595, 3755, 4813, 5504, 6909, 7955, 1101, 1265, 2871, 3727, 4364, 5957, 6909, 7451, 1062, 2127, 2956, 3761, 4859, 5320, 6239, 7865, 317, 1850, 2271, 4089, 4344, 5350, 7154, 8111, 195, 1716, 2239, 3457, 4321, 5565, 6529, 7477, 225, 2060, 2244, 4074, 5083, 5413, 7127, 7477, 518, 1749, 2453, 3645, 5079, 5527, 6977, 7706, 654, 2088, 2359, 3803, 4622, 5223, 7090, 7831, 228, 1140, 2359, 3933, 5143, 5586, 6895, 7831, 183, 1851, 2359, 3914, 4398, 5202, 7129, 7723, 571, 1490, 3135, 3931, 5104, 5372, 6840, 7778, 402, 1453, 3090, 4166, 4611, 5574, 6560, 7398, 668, 1349, 3031, 4030, 4307, 5965, 6650, 7405, 1059, 1554, 2871, 4015, 4562, 5873, 6865, 7393, 804, 1915, 2910, 3803, 4923, 6171, 6776, 7706, 818, 1869, 3022, 3516, 5159, 5378, 7201, 7782, 935, 2068, 2957, 3990, 5058, 5677, 6752, 8179, 935, 2000, 2957, 3866, 4822, 5635, 6709, 8083, 859, 1750, 2991, 3904, 5080, 5678, 7111, 8076, 1020, 1491, 2398, 3681, 4571, 5677, 7140, 7452, 699, 1375, 2359, 3286, 4310, 6195, 6687, 7803, 568, 1695, 2210, 3564, 4716, 6048, 7160, 8185, 617, 1623, 2608, 3391, 4489, 5723, 7010, 7717, 304, 1373, 2175, 4071, 5135, 5865, 6840, 8267, 716, 1323, 2336, 3358, 4895, 5216, 6612, 7498, 504, 1732, 3150, 4155, 4709, 5981, 7163, 7877, 784, 1717, 2309, 3582, 4717, 5824, 6670, 7524, 150, 2059, 2924, 3268, 4607, 5316, 6986, 7622, 826, 2059, 2321, 3524, 4990, 5781, 6614, 8033, 993, 1655, 3126, 3785, 5017, 5633, 6876, 7436, 993, 1777, 2691, 3358, 4635, 6074, 7229, 7976, 1029, 1468, 2655, 3859, 4324, 5663, 6560, 8188, 1025, 2117, 2207, 3618, 4861, 5651, 6856, 8092, 1025, 2117, 2207, 3618, 5196, 6119, 7072, 8210, 1029, 1399, 3092, 3600, 4635, 5403, 6498, 7358, 1029, 1205, 3066, 3946, 4770, 5425, 7041, 7704, 1029, 1655, 3066, 3515, 4896, 5750, 6393, 8174, 993, 1141, 2484, 3937, 4292, 5944, 7053, 7829, 993, 1141, 2482, 4043, 4881, 5344, 6763, 8112, 940, 2002, 2258, 4027, 4278, 5865, 7229, 8036, 684, 1299, 2708, 3945, 4762, 6063, 6430, 7948, 304, 2079, 3033, 3391, 5145, 5219, 6579, 8179, 390, 1881, 3008, 4145, 4533, 5761, 6752, 8260, 480, 1388, 2214, 3353, 5150, 6077, 6968, 8139, 876, 1369, 2271, 3720, 4620, 5614, 6277, 8210, 992, 1349, 2271, 3513, 4364, 5797, 6769, 7547, 356, 2107, 2361, 3761, 4675, 5706, 7039, 8066, 488, 2068, 2970, 3277, 5106, 5911, 7201, 7641, 1097, 2079, 2944, 3982, 4980, 5630, 6515, 8261, 935, 1856, 3007, 3982, 5165, 6146, 7207, 7720, 935, 2091, 2820, 4068, 4870, 5436, 7047, 8147, 356, 1871, 2833, 4006, 4790, 6103, 6980, 7349, 617, 1930, 2970, 3931, 5104, 6149, 6338, 8164, 757, 1750, 2718, 4149, 5159, 5811, 6776, 8213, 4, 2 ]
[ 1, 64, 57, 5, 31, 14, 66, 5, 45, 66, 5, 43, 14, 78, 5, 54, 57, 5, 62, 23, 35, 5, 66, 73, 5, 44, 51, 64, 62, 14, 54, 30, 5, 16, 54, 30, 5, 66, 39, 51, 5, 44, 54, 5, 33, 54, 47, 67, 46, 55, 5, 33, 52, 64, 5, 5, 3, 228, 2098, 3084, 4125, 4576, 5605, 6551, 8093, 654, 1332, 2775, 3394, 4877, 5908, 6816, 8261, 654, 1935, 2792, 3391, 4715, 5590, 7024, 7774, 228, 2127, 2833, 3851, 4700, 5218, 7129, 8130, 654, 1345, 2833, 3487, 4522, 5241, 6671, 7846, 225, 1386, 3000, 3297, 5075, 6149, 6736, 7753, 613, 1806, 2573, 3786, 4829, 5802, 6713, 7563, 166, 1323, 3018, 3395, 4589, 6101, 6296, 7498, 223, 1490, 2959, 3656, 5100, 6135, 7204, 8045, 803, 1393, 2706, 3802, 4663, 5745, 6574, 8111, 1016, 1393, 2868, 3924, 4640, 5526, 6614, 7442, 961, 1393, 3092, 3587, 4278, 5934, 6476, 7684, 1011, 1407, 2461, 3728, 4206, 6077, 6896, 7735, 887, 1233, 2599, 3485, 4601, 5905, 6654, 7968, 887, 1233, 3047, 3793, 4402, 5432, 6547, 8264, 887, 1233, 3038, 3201, 5079, 5874, 7015, 8189, 304, 1492, 3150, 3977, 4912, 6135, 6367, 7428, 390, 1898, 3008, 4166, 5165, 5749, 6671, 8260, 715, 1597, 2895, 4151, 4212, 5678, 6607, 7476, 857, 1452, 2503, 3540, 4651, 5903, 7166, 8028, 788, 1410, 3091, 4154, 4344, 5974, 6443, 7408, 840, 1557, 2586, 3993, 5110, 5610, 6612, 7951, 271, 1507, 2871, 3356, 5026, 5594, 6224, 7349, 875, 2118, 2314, 4130, 4571, 5756, 6745, 7521, 888, 2008, 3105, 3368, 5154, 5570, 6476, 8190, 952, 1349, 3029, 3262, 4305, 5914, 6566, 8114, 288, 1496, 2238, 3169, 4721, 5297, 6613, 7336, 1056, 1349, 2762, 3452, 4276, 5481, 7086, 7778, 405, 1349, 3064, 3671, 5129, 5777, 6412, 7682, 356, 2055, 2727, 3277, 4536, 6063, 7111, 8126, 844, 1924, 2239, 3201, 4912, 6163, 7207, 7706, 1025, 1496, 3037, 3973, 4896, 5889, 7237, 7584, 271, 1496, 2746, 3563, 5138, 5585, 6984, 8215, 844, 1349, 2444, 3992, 4895, 5811, 6592, 7559, 356, 1945, 2746, 3832, 4289, 5923, 7222, 8169, 105, 1623, 2542, 3253, 4225, 5514, 6733, 8126, 317, 1623, 2880, 3540, 5193, 6220, 6515, 7658, 256, 2078, 3149, 3990, 4580, 6203, 6669, 7252, 183, 1684, 2996, 4092, 4890, 5515, 6671, 7732, 833, 1684, 2560, 3891, 5160, 5911, 6540, 7782, 891, 2042, 2839, 3602, 4978, 5750, 7184, 7449, 1052, 1794, 2869, 3915, 5160, 5657, 6898, 7987, 1052, 1605, 2839, 3770, 4224, 5576, 6391, 7576, 1052, 1349, 3034, 3770, 4406, 5796, 6243, 7708, 319, 1728, 2380, 3753, 4356, 5578, 6825, 8024, 660, 1728, 2380, 3343, 4321, 5665, 6673, 7534, 868, 2055, 2731, 3542, 4926, 6101, 6224, 7621, 613, 2051, 2239, 3688, 4399, 5317, 6860, 7652, 1062, 1919, 2871, 3592, 4896, 6216, 7130, 7437, 952, 1349, 3061, 3262, 4664, 5204, 7229, 8082, 715, 1120, 2238, 3752, 4740, 5889, 6302, 7869, 225, 1485, 3035, 3227, 4513, 5810, 6704, 7673, 225, 1540, 2341, 3904, 4555, 6094, 6291, 7749, 518, 1519, 2302, 3803, 4513, 5368, 6757, 7791, 256, 1705, 2150, 3933, 4895, 6215, 6740, 7313, 684, 1961, 2838, 4068, 5058, 5892, 6613, 8126, 390, 1881, 2695, 3692, 4533, 5761, 7197, 8083, 955, 1146, 2678, 3803, 4980, 5767, 7152, 7876, 831, 1771, 2456, 3771, 4993, 5642, 6892, 7899, 663, 1350, 2946, 3917, 5129, 5968, 7239, 7717, 424, 2053, 2871, 3537, 4214, 5796, 6507, 7954, 1090, 1146, 3144, 3390, 4966, 5438, 6850, 7870, 826, 1633, 2391, 3789, 4890, 5771, 6932, 7673, 887, 1878, 2888, 3455, 4743, 5981, 6870, 8086, 850, 1676, 3109, 3773, 4387, 5573, 6870, 8070, 778, 1797, 2705, 3885, 4536, 6171, 7030, 7492, 104, 1633, 2391, 3540, 4536, 5204, 7246, 7948, 1025, 1182, 3003, 4067, 4229, 6111, 7010, 7782, 826, 1633, 2798, 3429, 4796, 5944, 7244, 7816, 887, 1255, 2724, 4151, 4179, 6131, 6614, 7393, 104, 2118, 2610, 3511, 5067, 5550, 6614, 7827, 988, 1496, 2482, 3229, 5146, 5889, 6763, 7627, 1052, 1426, 2182, 3795, 4556, 5656, 6751, 7974, 360, 1682, 2173, 3568, 4596, 5656, 6595, 7740, 360, 1167, 2173, 3202, 4755, 5390, 7043, 7776, 271, 2050, 2728, 3202, 4391, 6145, 7051, 7420, 150, 1897, 3047, 3557, 4601, 5773, 7145, 7590, 504, 1469, 2733, 3533, 5092, 6159, 6432, 7718, 1025, 1529, 2425, 3842, 4933, 6138, 6998, 7902, 784, 1469, 2674, 3768, 4308, 5829, 6267, 7535, 150, 1529, 2727, 3712, 4330, 5960, 6969, 7605, 1025, 1363, 2894, 4153, 4919, 5716, 6408, 7393, 678, 1794, 2894, 3771, 4833, 5622, 6408, 7598, 684, 1998, 2899, 3945, 5079, 5439, 6619, 8213, 1099, 2032, 3110, 3803, 4420, 5210, 7120, 7557, 186, 2001, 2880, 3803, 5058, 5705, 7218, 7631, 818, 2000, 3135, 3982, 5104, 5705, 7239, 8076, 818, 2068, 2991, 3188, 5104, 6211, 6996, 8260, 818, 1648, 2991, 3825, 4624, 6139, 7226, 8196, 818, 2000, 3135, 4071, 4798, 5241, 7124, 7766, 818, 1998, 2803, 3710, 4888, 6085, 6996, 8267, 818, 1622, 2781, 3990, 4630, 6081, 7077, 7876, 818, 1528, 2164, 3825, 4624, 6081, 6972, 7766, 415, 1965, 2389, 3918, 4753, 6141, 7041, 7660, 132, 1381, 2746, 4168, 5153, 6160, 6938, 7480, 508, 1773, 2686, 3927, 4554, 5265, 6978, 7546, 1062, 1318, 2163, 3741, 4857, 5850, 6964, 7658, 840, 1898, 3132, 3448, 4751, 5328, 6234, 7802, 673, 1630, 2505, 3357, 5040, 5817, 6823, 7801, 673, 2009, 2869, 3194, 4499, 5249, 6339, 7551, 485, 1594, 2260, 3463, 4571, 5941, 6690, 7363, 895, 1301, 2301, 3737, 4776, 5592, 7141, 8084, 895, 1615, 2461, 3548, 4882, 5624, 6888, 7469, 738, 1351, 2691, 3802, 4462, 5339, 6555, 7842, 738, 1469, 3010, 3313, 4324, 6119, 6361, 8269, 738, 1469, 2221, 3814, 5149, 5815, 6555, 7920, 150, 1727, 3040, 3351, 4462, 6034, 6868, 7468, 150, 1290, 3072, 3899, 4709, 5596, 6814, 7481, 277, 1664, 2495, 3394, 4803, 5797, 7171, 8037, 277, 1897, 2798, 4047, 4546, 5741, 6533, 7803, 150, 1726, 3047, 3394, 4546, 6011, 6529, 7808, 150, 1874, 2732, 3196, 4697, 6154, 6850, 7583, 504, 1389, 2677, 3245, 4327, 5475, 6481, 8171, 770, 1296, 2429, 3932, 4830, 5362, 6302, 7250, 1062, 1507, 2232, 3939, 4665, 5799, 6334, 8050, 103, 1421, 2704, 4154, 4881, 5204, 7044, 7706, 308, 1147, 2802, 4135, 4574, 5244, 6604, 8267, 1099, 1939, 2984, 3803, 5106, 5694, 7006, 8179, 935, 2041, 3135, 3201, 4276, 5705, 6979, 7658, 510, 1998, 2989, 4085, 4215, 6211, 6972, 8076, 746, 1320, 3098, 3201, 4686, 5614, 6740, 7764, 334, 1752, 3035, 3566, 4764, 5778, 7012, 7638, 833, 1971, 2210, 3213, 4670, 5802, 6895, 8065, 211, 1421, 3038, 3720, 4225, 5294, 7090, 8205, 650, 2059, 2870, 3996, 5183, 6067, 7119, 7826, 826, 2059, 3129, 3909, 4335, 6080, 6768, 7660, 826, 2059, 3129, 4099, 5085, 5419, 6847, 7784, 826, 1655, 3129, 3992, 4790, 5695, 7095, 8206, 826, 1603, 2732, 3440, 5144, 5538, 6414, 8188, 993, 1299, 2352, 3448, 4930, 6180, 6562, 8209, 1025, 1557, 2435, 3704, 5031, 6204, 6803, 7467, 1025, 1826, 2435, 3943, 4335, 6144, 6901, 8109, 211, 1881, 3006, 4006, 4513, 5844, 6771, 8061, 1099, 1963, 2980, 3407, 5106, 5923, 6349, 7311, 1099, 1924, 2936, 3990, 5080, 5573, 6515, 7557, 914, 1791, 2991, 3909, 4551, 5705, 7111, 8266, 397, 2013, 2971, 3597, 4214, 5441, 6347, 7727, 489, 2127, 2370, 4011, 5160, 5270, 7095, 7895, 568, 1147, 2740, 3753, 4359, 5400, 7207, 7704, 195, 1249, 3064, 3470, 4304, 5413, 6856, 7547, 699, 2106, 2833, 4096, 4387, 5515, 6895, 7732, 654, 1345, 3064, 3951, 5128, 5749, 6309, 8209, 518, 2127, 2869, 3838, 4522, 5901, 6277, 8038, 518, 1853, 2775, 3356, 4985, 5493, 7090, 8262, 105, 1237, 2328, 4089, 4983, 5730, 6466, 8126, 860, 2017, 2806, 3595, 4681, 6205, 7207, 7677, 915, 1756, 2806, 3407, 5038, 5296, 6996, 8237, 915, 1622, 2806, 3825, 4859, 5677, 7226, 7715, 915, 1622, 2806, 3825, 4798, 5241, 7201, 8223, 915, 1528, 2914, 4174, 5038, 5705, 7201, 7723, 915, 1528, 2957, 3825, 4980, 6211, 7077, 8196, 402, 1596, 2810, 3749, 4797, 5478, 6414, 7984, 1078, 1107, 2559, 3965, 4486, 6125, 6328, 8058, 323, 1730, 2271, 3678, 5135, 5408, 6659, 7604, 835, 2069, 2464, 3353, 4674, 5737, 6492, 7830, 1040, 1349, 2847, 3688, 4321, 5418, 6596, 8034, 897, 1332, 2882, 3417, 4804, 5955, 6423, 7856, 868, 2036, 2464, 3763, 5196, 5582, 6967, 7962, 536, 1940, 2974, 3651, 4426, 5695, 6965, 7997, 536, 1918, 2198, 4007, 4431, 6034, 6257, 7950, 326, 1873, 3086, 3770, 4966, 5792, 7102, 7670, 113, 1684, 2144, 3557, 4305, 6026, 7174, 7401, 881, 1540, 2696, 3394, 5118, 5503, 6721, 8225, 465, 1581, 2953, 3583, 5188, 6118, 6438, 7865, 1005, 1116, 3040, 3394, 4468, 5869, 6282, 7689, 844, 2094, 2953, 4037, 4672, 6001, 6924, 8271, 778, 1820, 2254, 3581, 4285, 6002, 6762, 7918, 1090, 1918, 2502, 3680, 4651, 5942, 6998, 7582, 610, 1809, 2924, 3616, 4374, 6085, 7168, 8040, 887, 1581, 2436, 3910, 4592, 5974, 6967, 8126, 104, 1717, 2940, 3692, 4861, 5565, 7010, 8258, 1025, 1350, 3053, 3206, 4573, 6007, 7239, 7602, 826, 1797, 2741, 3707, 4536, 6218, 6528, 7907, 826, 1676, 2486, 3390, 4582, 5500, 6433, 7854, 778, 1755, 3101, 3771, 5075, 5687, 7114, 8195, 887, 1932, 2741, 3430, 4365, 5796, 7150, 7870, 1090, 1728, 3003, 3917, 4191, 6073, 6736, 7584, 610, 1809, 2783, 4145, 4334, 5824, 7044, 7664, 427, 1932, 2678, 4027, 4764, 6103, 7111, 7876, 715, 1791, 2139, 4005, 5106, 5325, 6749, 7811, 1019, 1496, 2559, 3653, 5054, 5512, 7118, 8038, 1074, 1349, 2727, 4079, 5010, 5341, 6679, 7956, 326, 1476, 2486, 3239, 4417, 6020, 6992, 7888, 774, 1455, 2361, 3261, 4201, 5621, 7045, 8128, 265, 1116, 3116, 3592, 4428, 5734, 6799, 8232, 603, 1434, 2951, 3741, 4646, 6136, 6461, 8256, 935, 1467, 3109, 3277, 4555, 5548, 7071, 8267, 935, 1620, 2391, 4108, 4387, 5767, 6966, 7948, 818, 1847, 2834, 3891, 5104, 5705, 7084, 7631, 818, 1791, 2996, 3440, 5104, 5241, 7201, 8076, 935, 1648, 2833, 3825, 4798, 5630, 7120, 7948, 555, 1684, 2970, 4071, 5104, 5550, 7077, 7716, 105, 1684, 3021, 4006, 4304, 5719, 6604, 7563, 105, 1372, 2340, 3391, 4638, 5767, 7218, 8076, 617, 2127, 2370, 3761, 4681, 5385, 6677, 8093, 617, 2013, 2941, 3597, 5138, 5385, 6717, 7727, 617, 2127, 2370, 3595, 5060, 6137, 6671, 7664, 617, 2127, 3105, 3955, 5157, 5550, 6909, 7477, 617, 1372, 2858, 3680, 5079, 5581, 6466, 8236, 617, 1372, 3021, 3785, 4877, 5385, 6810, 7715, 617, 1623, 2370, 3827, 5130, 6119, 6809, 7778, 617, 2127, 2370, 4068, 4916, 5296, 6677, 8262, 617, 2106, 2970, 3980, 5166, 5901, 6810, 8093, 617, 1564, 2791, 3420, 5141, 5615, 7220, 7660, 356, 2106, 3143, 3770, 4181, 5223, 6291, 7303, 337, 2034, 2493, 3951, 4387, 5436, 6671, 7485, 860, 2032, 2806, 3825, 4630, 5963, 6809, 8080, 818, 1528, 2806, 4174, 5060, 5340, 6752, 8223, 288, 1304, 3008, 4166, 4387, 5892, 6338, 7474, 902, 1981, 3003, 3443, 5138, 5733, 6908, 7546, 323, 1695, 2835, 3688, 4244, 6126, 6249, 7545, 830, 1695, 3047, 3225, 4539, 5348, 6448, 8270, 807, 1635, 2316, 3429, 5155, 5810, 7050, 8203, 271, 2079, 2595, 4107, 4426, 5313, 6302, 8070, 1025, 1494, 2868, 3452, 5014, 5767, 6333, 7366, 223, 1721, 2610, 4017, 4387, 5413, 7017, 7959, 887, 1717, 2887, 3530, 4918, 5890, 6630, 8236, 1081, 1255, 2820, 3771, 5098, 5534, 7037, 8083, 684, 1930, 2868, 3931, 4334, 5378, 7237, 8195, 804, 2079, 2746, 4006, 5058, 5968, 7218, 8080, 1099, 1945, 3110, 4071, 4782, 5705, 6709, 8195, 899, 2127, 2834, 4026, 4470, 6211, 6338, 7764, 251, 1289, 3133, 4073, 5135, 5218, 6893, 8071, 183, 1525, 2669, 4115, 4555, 5493, 6709, 7641, 859, 1304, 3021, 4011, 4877, 6110, 7084, 7641, 356, 1147, 2730, 3873, 5104, 6144, 6338, 7984, 613, 1919, 3060, 3605, 4869, 6203, 6849, 8137, 856, 1190, 2965, 3355, 4241, 5526, 7179, 7908, 1074, 1928, 3073, 3403, 4916, 5303, 7161, 7929, 1019, 1829, 2731, 3969, 4795, 5351, 6449, 7616, 1080, 1996, 2170, 4145, 4645, 5982, 6944, 7624, 582, 2067, 2282, 4155, 4911, 5828, 6701, 8191, 986, 1178, 2271, 4128, 4969, 6191, 7229, 8117, 779, 1828, 2839, 3790, 4829, 5581, 6592, 8217, 684, 2068, 2970, 4097, 5081, 5684, 7152, 7536, 956, 1992, 2820, 3961, 4387, 5959, 7010, 8061, 956, 1943, 3128, 3866, 4888, 5340, 6972, 7557, 1099, 1508, 2960, 3982, 5165, 6175, 6786, 7641, 956, 1869, 3095, 4071, 5038, 6103, 7084, 8147, 510, 1175, 2880, 3188, 5038, 6051, 6988, 7806, 1020, 1345, 2606, 4161, 4495, 5261, 6578, 7321, 256, 1547, 2466, 3576, 4486, 6085, 6273, 8093, 183, 1750, 2156, 3566, 4374, 6175, 7084, 7732, 183, 1705, 2860, 3374, 4859, 5573, 6668, 7386, 513, 1755, 3144, 3826, 4214, 5787, 6413, 7865, 767, 1674, 2924, 3193, 5142, 6181, 7072, 8101, 807, 1674, 2271, 3695, 4727, 6147, 6592, 7695, 986, 2047, 2767, 4015, 5145, 5224, 7140, 8167, 807, 2024, 2771, 3623, 4539, 5482, 7222, 8017, 862, 1554, 2173, 3476, 4602, 6114, 6908, 8240, 692, 1206, 3040, 3329, 4448, 5934, 6871, 7624, 1101, 1302, 2830, 3191, 4204, 6217, 6905, 7721, 363, 1550, 2863, 3322, 4678, 5970, 6631, 7762, 884, 1900, 2239, 3601, 4321, 5787, 6713, 7667, 725, 1938, 2172, 3962, 4539, 5409, 6467, 8005, 887, 1938, 2316, 3652, 4222, 5350, 6603, 7528, 150, 1826, 2316, 3568, 4244, 6156, 6818, 7457, 1090, 1797, 2797, 3796, 4795, 5643, 6849, 7930, 1025, 1676, 2463, 4145, 4426, 5216, 7129, 8237, 610, 1676, 2974, 3201, 4179, 5212, 6704, 7716, 831, 1778, 2515, 3962, 4536, 5796, 7152, 8266, 663, 1919, 2710, 3955, 4588, 5761, 7143, 7602, 610, 1238, 3033, 3885, 5096, 6114, 7149, 7846, 887, 1978, 3064, 3917, 5153, 6014, 7207, 7811, 850, 1676, 2456, 3922, 4622, 5289, 6716, 7329, 610, 2055, 3033, 3949, 4212, 5212, 7095, 7992, 1101, 2111, 2401, 3635, 4321, 5251, 7223, 8084, 1041, 1496, 2346, 3309, 4708, 5408, 6456, 7349, 746, 1823, 3097, 3363, 4612, 5963, 6723, 7842, 1051, 1847, 2981, 3500, 4875, 6156, 6566, 7303, 757, 1147, 2718, 4087, 4829, 5668, 7045, 7361, 356, 1526, 2669, 3848, 5153, 5656, 7000, 7764, 1059, 2034, 2984, 4132, 5081, 6160, 6498, 7686, 221, 1156, 2346, 3213, 4486, 5993, 6697, 7252, 221, 1227, 2346, 3598, 4412, 5322, 6386, 8087, 660, 1948, 2346, 3329, 4469, 6106, 6768, 7452, 660, 1550, 2231, 3329, 4546, 5934, 6286, 8046, 115, 1212, 2787, 3425, 4321, 5381, 6780, 7364, 271, 1708, 2601, 3329, 4546, 6024, 6528, 7997, 271, 1708, 2422, 3366, 4539, 5726, 6991, 7703, 1025, 1897, 2729, 3992, 5138, 5749, 6871, 8161, 1025, 1682, 2429, 3931, 4235, 5344, 6991, 7658, 1090, 1682, 2946, 3917, 4993, 5749, 6540, 8126, 807, 1635, 2886, 3618, 4474, 5719, 6311, 7773, 807, 2033, 2316, 4025, 4882, 5344, 6603, 7534, 807, 1721, 2309, 4073, 5124, 5810, 6592, 7936, 807, 2079, 2865, 3329, 5124, 5981, 6399, 8221, 103, 1350, 3149, 3964, 4186, 6149, 6574, 7809, 308, 1675, 3006, 3920, 4279, 6149, 6891, 7716, 543, 1308, 2912, 3827, 5143, 6205, 7230, 7537, 256, 2052, 3022, 3595, 4925, 5825, 7024, 8265, 240, 1684, 2904, 3886, 4896, 6066, 6540, 8150, 878, 1620, 2444, 3277, 5165, 5935, 6607, 8118, 543, 1620, 2151, 4071, 4398, 5705, 6668, 8237, 401, 2125, 3128, 3961, 4512, 5705, 6979, 7770, 223, 2102, 3097, 3420, 4485, 5656, 7133, 7948, 1023, 1564, 2562, 3265, 4946, 6115, 6225, 7625, 920, 1227, 2415, 3497, 4451, 5393, 6224, 8149, 582, 2009, 2595, 3329, 4855, 5280, 6923, 7911, 1025, 1269, 2401, 3421, 4379, 5982, 6710, 7367, 1025, 1676, 2352, 4150, 5088, 5784, 6832, 8093, 1025, 1499, 2783, 4150, 4279, 6007, 6771, 7508, 1025, 1499, 2783, 3493, 4942, 5765, 7207, 7794, 1025, 1499, 2750, 3493, 4179, 5767, 7019, 7846, 1025, 1797, 2282, 3917, 4447, 5641, 7095, 7495, 643, 1708, 2867, 3822, 5138, 5648, 6731, 8016, 314, 1550, 3029, 4166, 4457, 5216, 6612, 8209, 884, 1302, 2138, 3931, 4604, 5344, 6828, 7649, 981, 1778, 3097, 3376, 4541, 5346, 7087, 7707, 271, 2120, 3036, 3824, 4335, 6201, 6798, 7885, 150, 2120, 2671, 3533, 4364, 5286, 6312, 7490, 1025, 1547, 2997, 3345, 4755, 5507, 7074, 7602, 643, 1547, 2389, 3639, 4887, 5595, 6803, 8209, 1022, 1301, 2559, 3619, 4644, 6152, 7053, 7581, 1022, 1630, 3069, 3727, 5005, 5835, 7007, 7311, 1022, 2036, 2173, 3830, 5159, 5952, 7173, 7965, 1090, 1773, 3109, 4133, 4374, 6120, 6740, 8089, 951, 1380, 3064, 3162, 4966, 5260, 6687, 8076, 970, 1786, 2970, 3843, 4663, 6182, 6702, 7454, 424, 1770, 2547, 3395, 4639, 5438, 6331, 7591, 211, 2073, 2515, 3795, 5169, 6070, 6588, 8076, 899, 1363, 2783, 3550, 4374, 5968, 6373, 7800, 228, 1264, 2554, 3407, 4945, 5503, 6776, 7528, 228, 2073, 2340, 3753, 5179, 6182, 6604, 7476, 228, 2073, 2830, 3680, 4638, 5840, 6291, 7715, 228, 2108, 2830, 3364, 4622, 5865, 6535, 7318, 228, 1345, 2340, 3798, 4890, 5892, 6889, 8076, 518, 1468, 3133, 4096, 5157, 6146, 7024, 8076, 518, 1550, 2987, 3680, 5167, 5840, 6430, 8022, 228, 2108, 2282, 4166, 5160, 5581, 7181, 8046, 256, 2127, 3026, 3394, 4877, 5251, 6551, 7477, 228, 2106, 2554, 4125, 4654, 5613, 6809, 8262, 228, 2106, 2335, 3570, 4859, 5333, 6486, 7865, 543, 1851, 2542, 4174, 4859, 6110, 6996, 7929, 240, 2078, 2554, 4145, 4868, 6175, 7103, 7677, 543, 1851, 2970, 3595, 4877, 5514, 6604, 7715, 543, 1851, 2970, 3893, 5168, 5635, 6612, 7715, 543, 1248, 2791, 4145, 4776, 5514, 7160, 7865, 543, 1826, 2221, 4149, 4877, 5556, 7181, 8126, 555, 2118, 2718, 3391, 4240, 5241, 7152, 7723, 488, 2111, 2729, 3595, 4387, 6182, 6988, 8147, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8196, 201, 1528, 2806, 3893, 4624, 6139, 6794, 8147, 201, 1528, 2806, 3893, 4624, 6139, 7124, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 4, 2 ]
[ 1, 45, 66, 5, 76, 11, 78, 5, 14, 54, 5, 45, 54, 30, 47, 16, 54, 5, 5, 5, 64, 66, 57, 54, 30, 49, 30, 5, 5, 5, 76, 45, 31, 5, 16, 5, 53, 17, 64, 51, 16, 66, 76, 17, 54, 30, 5, 44, 54, 5, 43, 45, 78, 5, 64, 26, 30, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 6081, 7077, 8147, 142, 1528, 2914, 3825, 4624, 6186, 7077, 7766, 488, 1648, 2806, 4145, 4624, 6139, 7226, 8196, 552, 2065, 2709, 3932, 4583, 6103, 6551, 7485, 105, 1971, 2139, 3662, 5143, 5550, 6584, 7476, 789, 1561, 3147, 3478, 5088, 5294, 6254, 8061, 640, 1842, 2601, 4043, 4755, 6117, 6530, 7834, 737, 2034, 2983, 3268, 5001, 5616, 6313, 7819, 672, 1958, 2697, 3329, 4709, 5523, 7187, 8234, 103, 1436, 2802, 3488, 4813, 5549, 6544, 7524, 1097, 1966, 2746, 3671, 4762, 5684, 6918, 7311, 405, 1705, 2803, 4096, 4579, 6128, 6507, 8080, 579, 1939, 2454, 3662, 5079, 5942, 6692, 7676, 709, 1827, 2542, 3826, 4490, 6211, 6967, 7767, 211, 1998, 2470, 3776, 4589, 5385, 6584, 7965, 373, 1489, 2167, 3771, 4861, 5378, 7152, 7720, 1003, 1778, 2998, 4067, 4884, 5910, 6550, 8086, 803, 1660, 2678, 3352, 4832, 6080, 6776, 8092, 895, 1244, 2813, 3790, 4337, 6117, 6846, 7265, 793, 1299, 2494, 3341, 5111, 5242, 6426, 7405, 723, 1735, 2462, 4025, 4417, 5492, 6674, 8044, 459, 1510, 2818, 3191, 4955, 5444, 7067, 7759, 225, 1923, 2988, 3904, 4181, 5727, 6431, 7591, 195, 1749, 2520, 3768, 4717, 5918, 6992, 7700, 195, 1963, 2238, 3962, 4266, 6100, 6292, 7773, 708, 1827, 2904, 3900, 4318, 6135, 6756, 8262, 113, 1821, 2717, 3795, 5104, 5364, 7159, 7718, 535, 1609, 2897, 3533, 4582, 6053, 6520, 7383, 462, 1349, 2595, 3180, 4758, 5655, 6663, 7259, 936, 1349, 3116, 4137, 5118, 5814, 7045, 7954, 930, 1541, 2724, 3329, 4953, 5315, 6623, 7860, 1084, 1323, 2974, 3904, 4734, 5218, 6913, 8215, 104, 1146, 3039, 3717, 5159, 5765, 7243, 8227, 993, 1182, 3080, 3513, 4385, 5243, 6740, 8172, 826, 1255, 2484, 4120, 4883, 5314, 6540, 8039, 993, 1773, 2585, 3201, 4337, 5413, 6771, 7795, 737, 1695, 2377, 3227, 4564, 6178, 6768, 8232, 896, 1834, 2725, 3997, 4321, 6145, 6701, 7398, 528, 2102, 2332, 3915, 4737, 6179, 6869, 7721, 702, 1688, 2221, 4138, 5072, 5847, 6485, 7973, 1080, 1265, 2290, 3888, 4495, 5218, 6239, 7355, 942, 1778, 2313, 3356, 5067, 5548, 7004, 7393, 223, 2095, 2247, 3605, 4208, 5589, 6270, 7891, 1033, 1669, 2659, 3997, 4795, 5339, 7244, 7959, 271, 1271, 3020, 4120, 5126, 5565, 6623, 8235, 150, 1557, 2543, 4120, 4633, 5868, 6611, 7774, 1025, 1782, 3066, 3928, 4845, 5219, 6715, 7313, 1025, 1773, 2492, 3201, 5088, 5868, 7168, 7393, 211, 1915, 2591, 4145, 5115, 5981, 6979, 8245, 757, 1581, 2709, 3793, 4368, 5651, 6371, 7510, 545, 2079, 2874, 3709, 4903, 5684, 6663, 8168, 582, 1489, 2872, 4096, 5145, 5555, 6224, 8189, 986, 1388, 2751, 3417, 5135, 5753, 6811, 8156, 536, 1550, 2751, 3192, 5160, 6001, 7106, 8199, 988, 1289, 3033, 3741, 5135, 5224, 7094, 7771, 363, 1905, 2695, 3323, 4804, 5653, 6822, 7987, 443, 1905, 2940, 3323, 4358, 5325, 7234, 7559, 737, 1287, 2766, 3767, 4645, 5972, 6883, 8044, 249, 1280, 2332, 3888, 4946, 5257, 6836, 8121, 363, 2024, 2225, 3957, 4208, 5591, 6608, 8125, 1011, 1759, 2659, 4022, 4443, 5836, 6761, 8259, 663, 1509, 2863, 3316, 4536, 5643, 7018, 7641, 767, 1770, 3064, 3206, 4622, 5981, 6776, 7584, 216, 1239, 2658, 3901, 5165, 6025, 6242, 8227, 335, 1141, 3007, 4017, 4825, 6175, 6410, 7870, 731, 1770, 2771, 3371, 4536, 6146, 7228, 7895, 391, 1858, 2984, 3304, 5104, 6163, 6284, 7485, 767, 1770, 2141, 4145, 4622, 5573, 6834, 7948, 304, 2073, 2866, 3201, 5026, 5704, 6265, 7570, 401, 1212, 2136, 3932, 4861, 5204, 6918, 7574, 216, 1992, 2899, 3540, 5159, 6103, 7010, 7336, 779, 1992, 3043, 3645, 5106, 6181, 7162, 8195, 552, 1682, 2709, 4106, 4622, 5963, 6979, 7732, 240, 2002, 3059, 4143, 4351, 5493, 6604, 7303, 654, 1147, 2181, 3891, 4529, 5678, 7201, 7806, 195, 1750, 2562, 3680, 4877, 6007, 6607, 7776, 195, 1758, 2560, 3967, 4411, 5677, 6710, 7477, 225, 2060, 2654, 3623, 5048, 5219, 6890, 8061, 225, 2060, 2729, 3595, 5079, 5413, 7024, 7706, 654, 2002, 2740, 3795, 4887, 5992, 6430, 7631, 195, 1826, 2664, 3777, 5143, 5981, 6504, 7732, 240, 2002, 2944, 4103, 4601, 5678, 6515, 8103, 240, 1756, 2880, 3891, 4412, 5515, 6889, 7707, 789, 1750, 2221, 3933, 4888, 5767, 6671, 7303, 419, 2017, 2806, 3914, 4859, 5677, 7120, 8076, 419, 1622, 2554, 3825, 4704, 5241, 6794, 8196, 568, 1923, 3147, 3227, 4681, 5276, 6755, 8061, 987, 1858, 2520, 3692, 4225, 5515, 6892, 7383, 1067, 1510, 2870, 3986, 4953, 6147, 6480, 7617, 635, 1510, 2214, 3991, 4627, 5973, 6834, 7693, 875, 1924, 2726, 4003, 4459, 5799, 7071, 7710, 1029, 1213, 2152, 3623, 4751, 5469, 6815, 7442, 540, 1318, 2707, 3356, 5114, 5623, 6483, 8159, 386, 1812, 2691, 3693, 4417, 5780, 6595, 8190, 1009, 1271, 2394, 3954, 4978, 5884, 7223, 8205, 504, 1356, 2894, 4095, 5003, 5750, 6582, 7365, 504, 1637, 2931, 3156, 4893, 6180, 6939, 7898, 913, 1755, 3095, 3391, 4653, 6071, 7149, 7260, 970, 1234, 2946, 3325, 4691, 5935, 6619, 7488, 970, 1508, 2266, 3873, 4831, 5616, 7160, 7901, 938, 1318, 3080, 3998, 4622, 5629, 6935, 8261, 1011, 1831, 3107, 4155, 4867, 6044, 6470, 7901, 401, 1669, 2792, 3634, 5003, 5825, 6566, 7594, 304, 1385, 2946, 3910, 4191, 5630, 6850, 7570, 401, 1669, 2899, 3838, 5122, 6129, 6302, 7876, 304, 1385, 2710, 3669, 5166, 6131, 7098, 7720, 643, 1227, 2678, 3298, 5129, 6114, 7218, 7774, 970, 1797, 3064, 3410, 5022, 6120, 7095, 7764, 304, 1721, 2803, 3909, 4287, 6195, 7010, 7631, 1056, 1682, 3053, 4097, 4870, 6146, 6979, 7664, 804, 1218, 2783, 3440, 4583, 5840, 7084, 8260, 1056, 2125, 2946, 3909, 4512, 6103, 7239, 7476, 308, 1455, 2803, 4171, 5038, 6129, 7201, 8076, 390, 1705, 2167, 3516, 4551, 6175, 6302, 8267, 1042, 1382, 3079, 3894, 4534, 5886, 6277, 7531, 363, 1808, 2271, 3334, 4525, 5512, 6674, 8067, 896, 1388, 2751, 3845, 4648, 5773, 7087, 7712, 1060, 1948, 2327, 3329, 5036, 5890, 6252, 7881, 1100, 2102, 2415, 3200, 4539, 5237, 7041, 8268, 900, 1948, 2717, 3184, 4933, 5665, 7232, 7442, 920, 1800, 2464, 3750, 4804, 5333, 6909, 7828, 807, 2003, 2380, 3329, 4848, 6076, 7013, 8132, 884, 1302, 2327, 3449, 4690, 5218, 6741, 7683, 265, 1778, 2464, 3827, 4496, 5668, 6281, 7442, 265, 1164, 2271, 3855, 4471, 6200, 6371, 7554, 504, 1548, 2271, 3167, 4935, 5887, 6376, 7652, 643, 1482, 2332, 3720, 5015, 6169, 7232, 7917, 504, 1971, 2724, 3218, 4589, 5719, 6687, 7778, 981, 1140, 2610, 4078, 4829, 5681, 6818, 7597, 684, 1752, 2991, 4145, 4867, 6001, 6677, 7570, 308, 1302, 3053, 4085, 4551, 5705, 6972, 7764, 955, 1777, 3110, 4145, 5061, 5630, 7111, 7723, 401, 1721, 2880, 4145, 4822, 5883, 6967, 8267, 401, 1924, 2833, 3990, 5088, 5968, 6540, 7485, 288, 1945, 3043, 4068, 5080, 5694, 7129, 8179, 844, 1964, 3008, 3309, 4691, 5500, 6616, 8173, 668, 1349, 2267, 4168, 5184, 6119, 7017, 8163, 363, 1149, 2271, 3394, 4278, 5427, 6921, 7312, 917, 2118, 2842, 3329, 4903, 5886, 6865, 7967, 371, 2008, 2316, 4078, 5052, 5918, 7071, 7521, 211, 1349, 2730, 3600, 4473, 6005, 6522, 8245, 684, 1821, 2363, 4085, 4387, 6192, 7017, 7911, 1099, 2111, 2444, 4150, 4551, 5550, 6996, 7811, 186, 1845, 2167, 3891, 5038, 5901, 7006, 8126, 488, 2000, 2164, 4011, 4704, 6139, 7201, 7806, 186, 1528, 2746, 3893, 5061, 5635, 7077, 7766, 555, 1684, 2959, 3645, 4287, 5534, 7111, 8147, 552, 2106, 2970, 3374, 5083, 5635, 6688, 7485, 617, 1564, 2340, 3891, 4867, 5515, 7218, 8076, 555, 2065, 2970, 4171, 4870, 6139, 6996, 8196, 555, 2111, 2880, 3680, 5007, 5635, 7120, 8196, 142, 2017, 2806, 3825, 4704, 5892, 7226, 8196, 860, 1622, 2806, 3893, 4624, 6139, 7124, 8147, 488, 1622, 2806, 3893, 4624, 6139, 6786, 7766, 818, 1528, 2164, 3893, 4798, 5635, 6786, 8223, 512, 1705, 3043, 4011, 4551, 5705, 6709, 8083, 767, 2064, 2895, 3516, 4925, 6103, 6467, 8267, 266, 1499, 2816, 3218, 4852, 6073, 6874, 7457, 994, 1986, 2409, 3537, 4537, 6135, 6726, 7540, 994, 1682, 2627, 3828, 4539, 5286, 7174, 7801, 83, 1682, 2429, 3752, 4539, 5656, 7147, 7709, 373, 1614, 3049, 4004, 4539, 5781, 6710, 7826, 424, 2125, 2971, 4005, 4932, 5255, 7078, 7582, 691, 1918, 2868, 4067, 4412, 5414, 6348, 7975, 113, 2043, 3066, 3225, 4573, 6085, 7125, 7284, 631, 1146, 2931, 3486, 4441, 5918, 7227, 7829, 1057, 1609, 3040, 3513, 4363, 5719, 7194, 7641, 887, 1974, 3047, 3873, 4542, 5963, 6437, 7770, 1025, 1797, 2946, 3671, 4224, 5228, 6615, 7658, 1025, 1370, 2716, 3390, 4539, 5981, 6658, 7593, 1057, 1928, 2440, 3964, 4316, 5835, 6426, 7602, 408, 1747, 2349, 3582, 4321, 5977, 6906, 7502, 641, 1182, 2905, 3195, 4855, 5389, 6467, 7741, 1084, 1878, 2740, 3231, 4993, 5459, 6476, 8176, 1090, 1682, 2839, 3771, 4558, 6118, 7098, 7919, 1090, 1682, 2839, 3680, 4558, 5588, 6614, 8031, 314, 1199, 2800, 3487, 4635, 5346, 6766, 8071, 759, 1404, 2373, 4017, 4710, 6118, 6903, 7650, 113, 1490, 2532, 3481, 4372, 5732, 6359, 7656, 1102, 1609, 3005, 3481, 4796, 6111, 6783, 8143, 256, 1577, 2293, 3424, 4792, 5660, 7157, 7753, 195, 2127, 2659, 3842, 4536, 5296, 6486, 7740, 195, 1596, 2830, 3798, 4845, 5756, 6840, 8126, 654, 1806, 2669, 3648, 4859, 5220, 6717, 7267, 654, 1313, 2473, 3376, 5007, 5219, 6607, 7966, 757, 1756, 2328, 3838, 5088, 5863, 6364, 7477, 186, 1386, 2729, 3550, 4704, 5795, 6579, 7485, 419, 1750, 2806, 3866, 4877, 5832, 7132, 7485, 419, 2017, 3110, 3825, 5166, 5677, 6996, 8196, 541, 1601, 2740, 3931, 4727, 5386, 6613, 7717, 663, 1206, 2874, 3915, 4334, 5765, 6837, 8193, 392, 1399, 2327, 3159, 4388, 5449, 7212, 7900, 363, 1773, 2951, 4007, 4525, 5954, 7224, 7384, 465, 2036, 2951, 3979, 4804, 5844, 6903, 7959, 833, 1747, 2826, 3909, 4993, 5861, 6612, 7386, 860, 1963, 2943, 4170, 5058, 5630, 6709, 7641, 1097, 2068, 3110, 3990, 4630, 5883, 7084, 8066, 956, 1963, 2991, 3886, 4888, 5534, 6996, 8179, 473, 2032, 2532, 3710, 4925, 5210, 6852, 7717, 684, 1467, 2582, 3945, 4822, 5534, 6988, 8185, 211, 1998, 2924, 3487, 5098, 5802, 6677, 8179, 887, 2035, 2293, 3989, 4439, 6087, 7237, 7846, 778, 1873, 2965, 3399, 4728, 6123, 7202, 8153, 614, 1255, 2465, 3391, 4856, 5702, 6408, 8028, 802, 1251, 2536, 3175, 5098, 5749, 7048, 7385, 850, 1621, 3032, 3391, 4812, 5284, 6284, 8041, 778, 1478, 2554, 3543, 4599, 6050, 6514, 7962, 778, 1747, 2894, 4061, 4803, 6222, 7072, 7336, 299, 1290, 2282, 4063, 4308, 5321, 7053, 7279, 104, 2053, 2923, 3240, 4365, 5379, 7094, 7767, 104, 2056, 2923, 3252, 5044, 6218, 7147, 8085, 1025, 1856, 2923, 3870, 4241, 5474, 7059, 7892, 778, 2095, 2750, 4146, 4952, 5305, 7095, 7419, 104, 1269, 2396, 3488, 4781, 5216, 6885, 7748, 641, 1489, 2429, 3352, 5041, 6055, 6298, 7885, 887, 1919, 2503, 3692, 4468, 5519, 6651, 7256, 850, 1858, 3066, 3401, 4875, 5921, 6740, 7311, 826, 1600, 2436, 4166, 4552, 5966, 6780, 7924, 887, 1581, 2436, 3393, 4556, 5425, 6633, 7631, 104, 1141, 2783, 3452, 4228, 5905, 7003, 7920, 104, 1797, 2610, 3169, 4258, 5908, 6658, 8060, 1025, 1494, 2678, 3937, 5183, 5901, 6302, 8195, 1025, 1797, 2944, 3949, 5061, 5980, 6954, 8261, 610, 1797, 3053, 3201, 5088, 5953, 7132, 7717, 424, 2125, 3095, 3961, 4586, 5832, 7207, 7570, 833, 2079, 2293, 4145, 4954, 5534, 6752, 7557, 535, 1971, 2543, 3662, 5011, 5285, 7085, 8139, 487, 1614, 2678, 3635, 4664, 6132, 6579, 7261, 1074, 1472, 2348, 3695, 4701, 5616, 6908, 7869, 1080, 1397, 2154, 3159, 4648, 6050, 7232, 7869, 692, 1808, 2271, 3792, 5114, 5325, 7162, 7727, 930, 1164, 2365, 3241, 5097, 6155, 6224, 7398, 980, 1463, 2708, 3994, 4734, 5942, 6472, 7538, 424, 1238, 2783, 3246, 5117, 5960, 6646, 7899, 850, 1676, 2946, 3361, 4981, 5980, 7023, 7919, 778, 1333, 2709, 3973, 4561, 6002, 6765, 8207, 299, 1971, 2332, 3492, 4321, 5500, 7246, 7795, 462, 2036, 2312, 3673, 4701, 5952, 6965, 8064, 462, 1808, 2884, 4043, 4701, 5831, 6710, 8215, 988, 1808, 2884, 3417, 4494, 5903, 7053, 7885, 536, 1942, 2232, 4015, 4648, 6142, 6651, 7936, 952, 1636, 2975, 4015, 4635, 5224, 6414, 7525, 952, 1600, 2830, 3949, 4604, 5438, 6910, 7996, 513, 1178, 2797, 3327, 4750, 5968, 7229, 7494, 225, 1587, 2156, 3562, 5187, 5389, 7182, 7716, 654, 1684, 2809, 3934, 4201, 5458, 6465, 8077, 654, 1345, 3053, 3909, 4836, 5629, 6338, 7477, 654, 1789, 2750, 3955, 5135, 5840, 7218, 7908, 518, 1961, 2529, 4074, 4531, 5344, 6560, 7860, 518, 1645, 3135, 3566, 4513, 5873, 7232, 7563, 228, 1304, 3139, 3376, 4715, 5296, 7162, 7386, 228, 2065, 2781, 3586, 5106, 5767, 7024, 7753, 256, 2111, 2554, 4074, 5135, 5677, 6589, 8164, 617, 1826, 2754, 3687, 4822, 5514, 6688, 8083, 650, 1981, 2429, 4006, 5085, 6182, 6338, 7816, 302, 1609, 2678, 4133, 4363, 5250, 6244, 8263, 786, 1865, 2643, 3714, 5195, 5553, 7139, 7709, 198, 1489, 2994, 3683, 4321, 5553, 6521, 7761, 480, 1681, 2818, 3524, 4254, 5941, 6680, 7402, 501, 1660, 3040, 3629, 4604, 5236, 6308, 8270, 310, 2107, 3040, 4004, 4283, 5787, 6456, 7616, 1003, 1234, 3040, 4007, 4187, 5577, 6492, 7993, 508, 1609, 2561, 3432, 5116, 5884, 7202, 7966, 918, 1503, 2182, 3741, 5145, 6158, 7041, 7520, 575, 1704, 2293, 3567, 4755, 5226, 7188, 7501, 639, 1520, 3079, 3366, 4479, 5725, 6628, 8226, 482, 1965, 2912, 3788, 4994, 5869, 6478, 7621, 192, 1363, 3011, 4103, 4945, 6210, 6357, 7350, 981, 1758, 2583, 4024, 5057, 5480, 7001, 7337, 725, 1510, 2713, 3380, 4706, 5918, 7162, 7355, 913, 1510, 2261, 3764, 4931, 5796, 6944, 7896, 981, 1510, 2800, 3253, 4966, 6187, 6614, 8213, 981, 2034, 2987, 4091, 4573, 5800, 7055, 8108, 643, 1389, 2335, 4092, 4384, 5806, 7017, 8081, 996, 1164, 2762, 3720, 4415, 5971, 6476, 7881, 103, 1562, 3032, 3741, 5160, 5531, 6839, 8045, 308, 1455, 3110, 4168, 4918, 5824, 7168, 8267, 804, 1218, 2167, 3961, 4870, 6195, 7207, 8076, 308, 1218, 2746, 4145, 5080, 5832, 6774, 8066, 397, 1978, 3032, 3994, 4923, 5514, 6830, 7256, 862, 1349, 2314, 3493, 4561, 5512, 6898, 8161, 662, 1649, 2951, 3720, 4881, 5929, 6346, 8253, 693, 1349, 2669, 3700, 4364, 5604, 6883, 7842, 265, 2034, 3051, 3741, 4898, 6086, 6783, 7831, 776, 1510, 2866, 3882, 4809, 5474, 6269, 7274, 804, 2111, 2898, 3405, 4927, 6058, 6344, 7794, 818, 1557, 2947, 3374, 4822, 5677, 7149, 7980, 488, 1847, 3109, 4115, 4704, 6131, 7207, 8107, 818, 2017, 2834, 3710, 4888, 6195, 6774, 8179, 818, 2017, 2834, 4115, 4583, 6205, 6786, 7876, 186, 2017, 2914, 3891, 4624, 5901, 6794, 7876, 186, 1528, 2746, 4068, 4888, 6139, 6996, 7766, 818, 1648, 2806, 3825, 4888, 6139, 6794, 8223, 818, 1648, 2914, 3891, 4704, 6139, 6794, 8196, 915, 2017, 2164, 3891, 4798, 6139, 6996, 8147, 488, 2111, 2914, 3893, 4798, 6081, 7120, 7766, 4, 2 ]
[ 1, 76, 26, 5, 54, 11, 66, 5, 43, 14, 75, 5, 51, 20, 52, 30, 5, 41, 20, 63, 5, 43, 33, 52, 62, 5, 76, 26, 52, 5, 31, 48, 78, 5, 67, 45, 55, 78, 5, 76, 35, 5, 28, 48, 44, 55, 5, 30, 44, 64, 66, 63, 60, 30, 5, 5, 5, 43, 48, 5, 64, 33, 30, 5, 5, 3, 390, 1567, 3098, 3793, 5115, 5653, 6298, 7383, 1071, 1771, 2282, 3233, 5090, 6164, 7091, 7846, 401, 1932, 3130, 3929, 5100, 5776, 7047, 7547, 1062, 2125, 2886, 4067, 4691, 5572, 6998, 7913, 113, 1146, 2738, 3994, 4542, 5537, 6897, 8060, 1025, 2050, 2151, 3842, 4765, 5598, 6319, 7481, 936, 1260, 2819, 3880, 4706, 5849, 6838, 7674, 917, 1543, 2749, 4128, 4808, 5512, 6789, 7888, 730, 1469, 2372, 3979, 4708, 5574, 6501, 7892, 501, 1548, 2911, 3735, 4471, 6118, 6710, 7721, 725, 1215, 3151, 3878, 5184, 5411, 6937, 7952, 508, 1356, 2861, 4014, 4770, 5579, 6423, 8217, 547, 1596, 2869, 3686, 4552, 5350, 7217, 7567, 547, 2059, 2239, 3466, 4389, 6145, 7060, 8226, 692, 2059, 2546, 3880, 4391, 5227, 6354, 8178, 1011, 1283, 2304, 4153, 4677, 6163, 6265, 7624, 1088, 1807, 2544, 4034, 4960, 6163, 6991, 7624, 731, 1640, 2383, 4151, 4783, 5930, 7065, 8036, 731, 1905, 2994, 3982, 5085, 6193, 6540, 8236, 401, 1685, 2925, 3983, 5164, 6195, 7111, 7473, 391, 1871, 3080, 3803, 5104, 6001, 6630, 7806, 767, 1633, 3089, 4150, 4954, 6103, 6467, 7631, 831, 1463, 2678, 3931, 4447, 6025, 6972, 8126, 731, 1992, 3006, 4145, 5159, 5952, 7084, 7602, 678, 2008, 2900, 4126, 4890, 6195, 6884, 7397, 1033, 1777, 2732, 3771, 4814, 6131, 7207, 7919, 1033, 1721, 2803, 3165, 4672, 6204, 6604, 8107, 104, 1721, 2974, 3880, 4467, 6007, 7112, 7557, 104, 1227, 3128, 3581, 5153, 5746, 7114, 8236, 104, 1496, 2503, 3957, 4588, 5677, 7019, 7658, 363, 1543, 2905, 4043, 5052, 5220, 6742, 7423, 508, 1630, 2981, 4083, 4781, 6012, 6913, 7617, 725, 1183, 2641, 4025, 4781, 5463, 7021, 7593, 504, 1503, 3147, 3154, 4364, 5622, 6340, 8020, 386, 1183, 2861, 4138, 4841, 5545, 6369, 8092, 271, 1903, 2198, 3456, 5001, 5866, 6612, 7962, 759, 1520, 2868, 3337, 4688, 5550, 6493, 7904, 1064, 2020, 2710, 3578, 5195, 5535, 6620, 8110, 731, 1490, 2679, 3909, 4781, 5995, 6314, 7475, 804, 1876, 2534, 4027, 4918, 5811, 7098, 7591, 859, 1675, 2991, 4124, 4374, 5968, 6752, 8195, 541, 1758, 2151, 3252, 4880, 5963, 6350, 7733, 211, 2118, 2895, 4039, 4337, 6086, 6840, 7770, 752, 1783, 2598, 4168, 4903, 6144, 6555, 8222, 1062, 2065, 3003, 4028, 4320, 5912, 6299, 8160, 893, 1421, 3090, 4076, 4529, 5746, 6467, 8128, 1067, 1510, 2239, 4112, 4900, 5397, 6679, 7956, 386, 2008, 2572, 3194, 5160, 6012, 6411, 7827, 1025, 1773, 3085, 3295, 5075, 5393, 6254, 7939, 512, 1402, 2793, 3352, 4630, 5981, 7129, 7547, 899, 1919, 2957, 3886, 4398, 6211, 7090, 8103, 789, 1649, 3053, 3798, 4911, 5942, 6292, 8185, 789, 1452, 2943, 3918, 4240, 5911, 6414, 8236, 488, 1847, 2560, 4113, 5038, 6051, 6972, 7949, 818, 2068, 3135, 3914, 4704, 6103, 6786, 7806, 186, 1528, 3007, 3990, 4980, 5883, 7132, 7876, 935, 1804, 2781, 3945, 5129, 5883, 7239, 8260, 293, 1887, 3046, 4024, 5018, 6156, 6248, 7252, 489, 2075, 2282, 3946, 4181, 5982, 6734, 8260, 579, 1407, 2932, 3614, 4946, 6003, 7164, 8203, 650, 2035, 3112, 3391, 5106, 5510, 7195, 7691, 650, 2070, 2321, 3989, 4732, 5220, 6364, 7955, 993, 2050, 2658, 3598, 5081, 5509, 6859, 7618, 436, 1708, 2152, 3184, 4395, 5509, 6663, 8016, 1001, 1469, 3066, 3446, 4896, 5454, 6501, 8225, 436, 1255, 2689, 4105, 4315, 5819, 6720, 7918, 1008, 1146, 3066, 3429, 4706, 5511, 7063, 7808, 1008, 1915, 2173, 3907, 4285, 5346, 7052, 8092, 1008, 1915, 3066, 3727, 4729, 5347, 6267, 8113, 936, 1469, 2338, 3426, 4274, 6121, 6878, 7863, 386, 1469, 2237, 3321, 4711, 5814, 6923, 7796, 504, 1922, 2881, 3766, 4729, 6050, 6840, 8129, 1025, 1997, 2766, 3420, 4672, 5568, 6591, 8203, 678, 1469, 2708, 3737, 4562, 5485, 6457, 7584, 1081, 1974, 3078, 3918, 5012, 6114, 7164, 8064, 288, 1581, 2820, 3710, 5158, 5305, 7150, 7397, 105, 1946, 2473, 4018, 4533, 5776, 6540, 7962, 789, 1750, 2781, 3512, 4589, 5586, 7007, 7913, 789, 1998, 2730, 3440, 4622, 5832, 6988, 8061, 256, 1750, 2239, 3440, 4555, 5514, 7220, 8066, 256, 1108, 2970, 3440, 4412, 5536, 6732, 7865, 256, 1108, 3144, 3516, 4287, 6048, 6308, 8185, 967, 1635, 2941, 3680, 5080, 5586, 7024, 7715, 967, 2073, 3143, 3374, 5125, 5987, 6732, 7918, 767, 2088, 3007, 3540, 4387, 5235, 6338, 7255, 864, 1469, 2613, 3372, 4241, 5990, 7052, 7604, 784, 1469, 3085, 3720, 4599, 5316, 6725, 7311, 1067, 1687, 2189, 3345, 5023, 6003, 7237, 7926, 895, 1205, 2893, 3700, 4196, 6039, 6681, 8146, 150, 2008, 2266, 3531, 4222, 5565, 6706, 8184, 1066, 1352, 2419, 3381, 5135, 6141, 6663, 7428, 211, 1490, 2800, 3622, 5080, 5393, 6687, 7398, 390, 1490, 2470, 3595, 4529, 6171, 6922, 8021, 833, 1490, 3075, 3917, 4670, 5937, 6774, 8009, 403, 1186, 2991, 3647, 5096, 5834, 6555, 8118, 153, 1925, 2487, 3564, 4969, 5436, 6951, 8126, 863, 1623, 2833, 3226, 5006, 6061, 6986, 8085, 952, 1182, 2381, 3761, 4867, 5678, 6402, 7415, 1052, 2107, 2729, 3457, 4985, 6005, 6654, 8210, 862, 1306, 2751, 3593, 4278, 5950, 6325, 7983, 661, 1826, 2559, 3563, 4943, 5408, 7141, 7991, 492, 1934, 2846, 3294, 4934, 6040, 6628, 8140, 681, 1717, 2173, 3310, 4292, 6145, 6257, 7463, 881, 1589, 3040, 3936, 4409, 5823, 6309, 8150, 360, 1440, 2766, 3442, 4506, 5823, 6730, 8023, 1067, 2050, 2736, 3997, 4321, 5384, 6403, 7665, 938, 1591, 2274, 3779, 4571, 5426, 6377, 7954, 752, 1743, 3040, 3395, 4653, 5754, 6615, 7648, 610, 1912, 2367, 3970, 4409, 5231, 6776, 7419, 914, 1534, 3008, 3990, 4792, 5219, 7218, 7557, 935, 1791, 2391, 3391, 4861, 5883, 7084, 8185, 935, 1998, 2989, 3866, 5104, 5515, 6786, 8237, 914, 1874, 2975, 3710, 4287, 5241, 7218, 7706, 878, 1964, 2989, 4152, 5166, 5493, 6884, 7510, 475, 1608, 2730, 3891, 5168, 5830, 7230, 7799, 475, 1468, 2340, 3188, 5007, 5413, 7120, 8188, 510, 2065, 3006, 3391, 5106, 6129, 6612, 8093, 186, 2032, 2989, 3595, 4624, 5694, 7132, 7591, 337, 1945, 3006, 4071, 4512, 6085, 6709, 7631, 308, 1705, 2984, 3975, 4589, 6103, 6771, 7631, 1033, 1467, 2996, 3371, 5060, 5835, 6235, 8069, 277, 1919, 3033, 4164, 4256, 6138, 6506, 8131, 113, 1180, 2993, 3796, 5069, 5465, 7159, 7741, 261, 1609, 2189, 3251, 5008, 5499, 6625, 7924, 360, 1279, 2565, 4014, 4812, 5365, 6935, 8140, 723, 1786, 2731, 4013, 4678, 5396, 7212, 7739, 943, 1603, 2314, 3466, 4929, 6002, 6542, 7363, 774, 2053, 2390, 3442, 4800, 5914, 7002, 7538, 655, 2036, 2491, 3943, 5124, 6152, 6600, 7255, 536, 1757, 2389, 3986, 4978, 6002, 7067, 7639, 992, 1703, 2373, 4036, 4911, 5843, 6965, 7810, 536, 1988, 2868, 3923, 4545, 5806, 6280, 8093, 277, 1808, 2540, 4043, 5175, 5454, 7141, 7889, 113, 2050, 2846, 3778, 5111, 6034, 6262, 8017, 1008, 2050, 2203, 3276, 4604, 5323, 6706, 8163, 1011, 2050, 2910, 3714, 4784, 6145, 6478, 8241, 715, 1489, 2665, 3562, 4643, 5449, 6758, 7919, 1090, 1918, 2659, 4047, 4335, 5646, 6604, 7831, 756, 1171, 2282, 3560, 4573, 5550, 7232, 7365, 672, 1596, 2186, 3709, 4720, 6076, 6870, 7419, 535, 1732, 2311, 3741, 5110, 5749, 6255, 7996, 1040, 2053, 2448, 4137, 4392, 5276, 6908, 7954, 986, 2053, 2751, 3417, 4330, 5308, 6254, 7900, 986, 1754, 2751, 3476, 4218, 6147, 6780, 7881, 986, 1700, 2661, 3776, 4804, 5843, 6466, 8025, 986, 1306, 2661, 4007, 4602, 5344, 6680, 7627, 887, 2053, 3035, 4096, 4321, 5640, 7019, 7905, 887, 1388, 3020, 4007, 4210, 5261, 6954, 7539, 613, 1932, 2432, 3426, 4804, 6208, 6736, 7968, 568, 1471, 2988, 3524, 4673, 6084, 6224, 7477, 225, 1570, 3038, 4078, 4881, 5582, 6280, 8236, 654, 1938, 2542, 3582, 4877, 5811, 6816, 7732, 654, 2065, 2316, 4125, 4522, 5840, 6584, 8125, 240, 1851, 2469, 3516, 4398, 5811, 6612, 7631, 789, 2000, 2729, 4137, 4918, 6149, 6589, 8066, 419, 2000, 2659, 4125, 4630, 5438, 7100, 7831, 453, 1964, 2669, 3407, 4225, 6123, 7024, 8061, 878, 1320, 2875, 3562, 5080, 6129, 7103, 7538, 579, 1750, 2957, 3662, 4764, 5653, 6574, 7962, 948, 1773, 2988, 3390, 4466, 6014, 6967, 8210, 897, 1726, 3137, 4137, 5180, 5575, 6769, 8210, 616, 1832, 2615, 4143, 5111, 5341, 6509, 8212, 535, 1112, 3029, 3770, 5095, 5696, 6484, 7994, 462, 1164, 3029, 3894, 4665, 5734, 6595, 8109, 850, 1121, 2748, 3939, 4539, 5266, 6240, 7992, 778, 1685, 2401, 3885, 4419, 6002, 7017, 8234, 408, 1754, 2653, 3709, 4308, 5485, 7169, 7453, 104, 1296, 2810, 3593, 4690, 5318, 6678, 7348, 993, 1182, 2436, 4087, 4757, 5441, 7098, 8238, 826, 1858, 2924, 4096, 5010, 5474, 6639, 7607, 970, 1978, 2429, 4026, 5096, 5641, 6668, 7764, 317, 2105, 2664, 4087, 5163, 5953, 6663, 7313, 225, 1424, 2370, 3358, 4862, 5579, 6521, 8260, 857, 2002, 2701, 4161, 5098, 5267, 6791, 8244, 552, 1963, 2340, 3402, 5076, 5924, 7120, 7948, 405, 1540, 2838, 3253, 4583, 6195, 6786, 8267, 750, 1545, 3135, 4064, 4343, 5968, 6614, 7677, 776, 1478, 2533, 3453, 5066, 6181, 6677, 7825, 864, 1469, 3101, 3642, 4717, 6080, 6696, 8222, 665, 1469, 2736, 3323, 4874, 6018, 6736, 7933, 778, 1582, 2974, 4058, 4302, 5426, 6840, 7894, 104, 1669, 2541, 3448, 4794, 5806, 6615, 7905, 1099, 1668, 2895, 3226, 5095, 5968, 7120, 7260, 804, 1218, 2783, 3391, 5104, 5241, 7006, 8267, 1097, 2041, 3110, 4071, 4980, 5832, 6588, 8260, 684, 2046, 2947, 4098, 4980, 6103, 7098, 7887, 1056, 2125, 2949, 4150, 5080, 6211, 7077, 8083, 143, 1238, 2652, 3487, 4437, 5331, 6402, 7869, 150, 1403, 2701, 3900, 5084, 6113, 6870, 7419, 896, 1397, 2701, 3464, 4755, 5423, 7033, 8040, 443, 1397, 2923, 4137, 4493, 6118, 6486, 8205, 807, 1808, 2797, 3613, 4755, 5531, 6935, 7442, 672, 1550, 2607, 4137, 4836, 5523, 6884, 8173, 922, 1550, 2751, 4132, 4270, 5979, 6654, 8044, 480, 1808, 2990, 3192, 4881, 5512, 6869, 8073, 487, 1753, 2207, 3687, 4604, 5746, 6682, 8046, 807, 2053, 2543, 3613, 4852, 5826, 7222, 7944, 937, 1550, 2767, 4091, 4417, 5379, 7125, 7262, 408, 1271, 2436, 4067, 4288, 5532, 7232, 7896, 391, 1561, 2944, 3271, 4364, 5618, 6870, 7774, 104, 1561, 2429, 4136, 5020, 5500, 6884, 8034, 778, 1685, 2871, 3741, 4807, 6167, 6515, 8040, 104, 1807, 2436, 4136, 5164, 5599, 6358, 7965, 778, 1269, 2357, 3513, 4282, 5918, 6915, 7852, 678, 1269, 2783, 4067, 5169, 6175, 6348, 7607, 308, 2091, 2944, 3866, 5169, 6085, 6809, 7570, 863, 2046, 2709, 3700, 4764, 6205, 7078, 7570, 882, 1787, 2935, 3943, 4720, 5914, 6354, 7697, 902, 1369, 2156, 3395, 4399, 5318, 6550, 7916, 668, 1826, 2759, 3983, 5115, 5465, 6614, 7965, 175, 2107, 2167, 4047, 4364, 5899, 7048, 8193, 225, 1705, 2317, 3749, 4318, 5482, 6224, 8012, 518, 2002, 2181, 3370, 4611, 5523, 6966, 7876, 195, 1749, 2775, 4005, 4912, 5536, 7069, 8130, 225, 2111, 2561, 4125, 4459, 5549, 6607, 7786, 225, 1597, 2959, 3851, 4334, 5627, 7043, 7538, 225, 1750, 2669, 3391, 4716, 5520, 7090, 7485, 225, 1108, 2992, 3891, 4870, 5223, 6677, 7664, 183, 1496, 2971, 3413, 4225, 5385, 6986, 7476, 105, 1112, 2340, 4168, 4916, 5767, 6840, 7563, 859, 2106, 2944, 3761, 4877, 6065, 6840, 7887, 617, 1264, 2833, 4006, 4916, 5436, 7152, 8130, 579, 2106, 3133, 4124, 4181, 6163, 7103, 8080, 541, 1758, 2970, 4114, 4630, 5534, 7111, 7976, 1015, 1596, 3021, 3188, 4863, 5339, 7019, 7483, 262, 1141, 3061, 3838, 4869, 5250, 6677, 7855, 160, 1324, 3092, 4093, 5080, 5796, 6522, 8174, 271, 1897, 2214, 3388, 4545, 6213, 7150, 8242, 83, 1494, 2130, 3517, 4550, 6218, 6426, 7416, 83, 1708, 2285, 4073, 4245, 5615, 6724, 7594, 83, 1708, 2740, 3509, 4780, 5222, 7128, 7360, 83, 1708, 2968, 3354, 5193, 5435, 7195, 7858, 1008, 1167, 2146, 3960, 4896, 5755, 7142, 7904, 1008, 1167, 2146, 3356, 4896, 6010, 7142, 8241, 271, 2070, 2137, 3418, 4197, 5325, 6690, 7957, 1067, 1345, 2137, 3421, 5124, 5742, 6722, 7468, 840, 1244, 2751, 3356, 5023, 5930, 6796, 7690, 1003, 1545, 2727, 3937, 4205, 5878, 6484, 8081, 631, 1141, 2912, 3341, 5124, 5510, 7044, 7571, 1080, 1700, 2564, 3485, 4364, 6164, 6911, 7839, 930, 1653, 2561, 3593, 4594, 6207, 6743, 7438, 1003, 1586, 2661, 3801, 4205, 6220, 6799, 8092, 1024, 1397, 2420, 3943, 5134, 5981, 6793, 7869, 103, 1776, 2874, 3749, 4205, 5695, 7224, 7873, 103, 2020, 2818, 3190, 4185, 6191, 6734, 7649, 684, 2107, 2860, 3916, 4912, 6175, 7207, 8185, 857, 1320, 2365, 4114, 4925, 5677, 6715, 7724, 231, 1797, 2837, 3316, 4966, 6074, 6740, 7965, 836, 1167, 2809, 3752, 4555, 5730, 6740, 7664, 545, 1308, 2941, 3732, 4364, 6086, 6657, 7574, 806, 1773, 2751, 4025, 4995, 5574, 7133, 7854, 487, 1399, 2708, 3605, 4796, 5341, 7010, 8235, 807, 1510, 3116, 3162, 5109, 6066, 6347, 7578, 722, 1553, 2874, 3741, 4385, 5413, 6442, 7727, 807, 1919, 2436, 3655, 4804, 6119, 6302, 7881, 756, 1566, 2238, 3631, 5098, 5868, 7119, 7972, 225, 2052, 2316, 3792, 4402, 6094, 7133, 7751, 654, 1695, 3021, 3662, 4852, 6146, 7120, 7252, 127, 1645, 2454, 3605, 5138, 5558, 6810, 7906, 240, 2127, 3144, 4103, 5197, 6110, 6972, 7508, 518, 2127, 3064, 3595, 5138, 5844, 6607, 7715, 518, 1862, 2542, 3394, 5048, 5470, 7103, 8267, 552, 1620, 2554, 4145, 4870, 5694, 7024, 7421, 959, 1827, 2332, 3789, 5007, 5574, 7038, 8253, 271, 1349, 2346, 3832, 4337, 6000, 6885, 8052, 994, 1494, 2271, 3485, 5100, 5205, 6654, 8117, 137, 1653, 2751, 3979, 4208, 5787, 6911, 7379, 404, 1706, 2625, 3660, 4578, 5512, 6262, 7912, 247, 1636, 2487, 4073, 4843, 5795, 7222, 7574, 668, 1397, 3074, 3456, 4305, 5918, 6857, 8050, 672, 1286, 2741, 3353, 4457, 5706, 6795, 7669, 569, 1510, 2751, 3741, 4364, 5821, 6570, 8047, 833, 1510, 2321, 3994, 5164, 6171, 6715, 7383, 804, 2090, 3144, 3826, 4912, 6195, 7207, 8076, 308, 1705, 3095, 3361, 5115, 6205, 7207, 7386, 356, 1817, 2239, 4143, 4795, 5893, 7019, 7827, 818, 1992, 2833, 3374, 5061, 5678, 6709, 7555, 818, 1528, 3135, 3226, 4870, 6085, 7207, 7776, 818, 1218, 2960, 3866, 5104, 5832, 7239, 8260, 555, 2046, 2957, 4018, 5159, 5832, 6752, 7876, 859, 1345, 2542, 3710, 5193, 5219, 6584, 7716, 617, 1286, 2858, 3550, 4855, 5580, 6810, 7485, 617, 1974, 2775, 4006, 4583, 5987, 6895, 8061, 617, 1974, 2971, 3566, 4297, 5493, 7239, 7717, 617, 1876, 2971, 4068, 4700, 5624, 6895, 8030, 617, 2111, 2941, 4006, 4512, 5942, 6579, 7485, 617, 2127, 2349, 4068, 4764, 5294, 6291, 8061, 617, 2111, 2839, 3407, 5157, 5550, 6604, 7549, 617, 2106, 2542, 3374, 4859, 5385, 6315, 8083, 617, 1974, 3143, 3407, 4681, 5241, 7181, 7844, 617, 2111, 2941, 3914, 4622, 5385, 7181, 7743, 617, 1750, 2833, 3374, 4985, 6149, 7091, 8061, 617, 2106, 3064, 3931, 4836, 5385, 6338, 8061, 617, 1750, 2775, 4068, 4583, 5580, 6688, 8126, 105, 2111, 2340, 3827, 4704, 5385, 6412, 8061, 4, 2 ]
[ 1, 16, 54, 30, 5, 53, 23, 54, 66, 16, 30, 5, 11, 54, 5, 16, 5, 28, 52, 14, 51, 5, 43, 20, 63, 64, 5, 17, 75, 5, 62, 23, 35, 41, 16, 52, 5, 41, 63, 39, 53, 5, 5, 3, 797, 1684, 2970, 3914, 5159, 6211, 7120, 8147, 860, 1622, 2806, 3825, 4704, 5678, 7152, 8147, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8147, 555, 1304, 3064, 4006, 4762, 5892, 7077, 8076, 788, 1349, 2873, 3692, 4800, 6000, 6604, 7706, 714, 2009, 2725, 3434, 4472, 5585, 6826, 7840, 830, 1728, 2951, 3329, 5182, 5301, 6226, 7840, 310, 1695, 2751, 3384, 4891, 5880, 6426, 8105, 897, 1695, 2273, 3422, 4804, 5510, 6382, 8000, 1090, 1821, 3147, 3870, 4219, 5863, 7229, 8016, 424, 1771, 2855, 4087, 5137, 6073, 7019, 7336, 641, 1271, 2365, 3671, 4536, 5694, 6668, 7957, 678, 1919, 2298, 3973, 4834, 5702, 6740, 7899, 678, 2028, 3080, 3602, 4359, 5981, 7160, 8076, 390, 1282, 3080, 3866, 4339, 5890, 6736, 7547, 211, 1989, 2724, 3188, 4359, 5695, 6740, 7908, 663, 1280, 2369, 3692, 5127, 5396, 6687, 8107, 678, 1139, 2352, 4150, 4925, 5558, 6752, 8025, 1090, 1141, 2533, 3271, 5143, 6007, 6648, 7631, 1084, 1141, 2133, 4096, 4346, 6002, 7098, 8214, 815, 1942, 2429, 3475, 4374, 5620, 6660, 7582, 752, 1141, 2348, 3363, 4270, 5441, 6463, 7262, 223, 1141, 2923, 4098, 4292, 6118, 7114, 7267, 802, 1141, 2175, 3392, 4588, 6118, 6872, 8012, 1062, 1768, 3020, 3869, 4237, 5993, 6691, 7442, 640, 1740, 3132, 3840, 4307, 5759, 6226, 7286, 145, 1284, 2995, 3264, 4273, 6021, 6949, 7567, 327, 1912, 2274, 3466, 4678, 5461, 7068, 7423, 966, 1470, 2961, 3854, 4678, 5594, 6710, 8091, 810, 1183, 2603, 3499, 5128, 5703, 6299, 8095, 722, 1183, 2603, 3332, 4241, 6154, 6819, 7854, 722, 2056, 2999, 3785, 4764, 5399, 6894, 8002, 391, 1317, 2316, 3437, 5124, 6189, 6801, 7813, 391, 1726, 2320, 3513, 5151, 5296, 6755, 7279, 676, 2056, 2189, 3416, 4497, 6086, 6620, 7755, 547, 1241, 2805, 3550, 4855, 6080, 6522, 7513, 504, 1685, 3037, 3675, 4650, 6064, 6668, 8219, 304, 1635, 2868, 4101, 4751, 6149, 6286, 7570, 804, 2065, 2880, 3866, 5073, 5834, 6774, 7985, 757, 2051, 2839, 3436, 4852, 5763, 6254, 7773, 334, 1108, 2468, 3726, 4764, 6063, 6859, 7602, 568, 1806, 2582, 3183, 5179, 5968, 6795, 7831, 752, 1930, 2717, 3904, 4384, 6204, 6293, 7827, 113, 1126, 2436, 3300, 4387, 5438, 6449, 7985, 487, 1403, 2382, 3994, 4604, 5315, 7158, 7404, 487, 1397, 2253, 3423, 4595, 5925, 6754, 7869, 1101, 1397, 2697, 3488, 4606, 5656, 6549, 8021, 1101, 1397, 2750, 3877, 5167, 5831, 6663, 7592, 1101, 1397, 2750, 3877, 4601, 5826, 6663, 7437, 465, 1541, 2725, 3424, 4298, 6164, 6899, 8166, 405, 1218, 2210, 3994, 5022, 5955, 6603, 8048, 1056, 1499, 3007, 3918, 4724, 6181, 6786, 7906, 308, 1924, 2315, 3803, 4583, 5832, 7111, 7677, 356, 1602, 2947, 3807, 4691, 5610, 6859, 7437, 308, 1938, 2315, 3595, 4225, 5677, 6871, 7919, 804, 2041, 3008, 4145, 4849, 6137, 7132, 7717, 818, 2000, 2949, 4011, 5038, 6175, 6709, 7717, 818, 1791, 2914, 3226, 4782, 5883, 6972, 8179, 935, 1791, 3110, 3893, 5061, 5635, 6996, 8066, 967, 2065, 3015, 3440, 4925, 5850, 6604, 8179, 484, 2065, 3143, 3374, 4872, 5220, 6786, 8054, 171, 2088, 2959, 3856, 4512, 6182, 6688, 8080, 186, 2073, 3143, 3374, 5166, 5963, 6589, 8266, 818, 2017, 3117, 4011, 4366, 5883, 7077, 7641, 510, 1700, 2781, 3226, 5038, 5705, 6515, 7806, 262, 1687, 2222, 3314, 4808, 5642, 6564, 7366, 485, 1240, 2152, 3967, 4254, 5772, 6874, 8251, 997, 1440, 2892, 3333, 4718, 5387, 6932, 8244, 875, 1440, 3148, 3153, 4842, 5894, 6426, 7375, 896, 2043, 2755, 4160, 4364, 6071, 6703, 7937, 535, 1900, 2173, 4044, 4756, 5483, 6476, 7274, 826, 1255, 2865, 3828, 4966, 5733, 6325, 8126, 1029, 1915, 2741, 4128, 4292, 5652, 6768, 7533, 104, 1402, 2741, 4015, 4333, 5976, 7133, 7462, 536, 2051, 2868, 4120, 4763, 5980, 6671, 7904, 443, 1883, 2915, 4128, 4331, 5321, 6700, 7627, 1040, 1352, 2741, 3868, 5036, 5954, 7072, 7508, 840, 1788, 2173, 3452, 4875, 5927, 6908, 8062, 778, 1149, 3149, 3220, 4760, 6202, 6838, 8100, 779, 1146, 2254, 3546, 4918, 5731, 7033, 7360, 684, 1581, 2943, 3540, 4852, 5646, 6776, 8107, 804, 1791, 2860, 3982, 4780, 5219, 7218, 7583, 308, 1750, 2781, 3945, 5153, 6129, 6613, 7558, 804, 1218, 2947, 3516, 4630, 6131, 7218, 7485, 308, 1218, 3110, 4171, 5166, 6103, 7084, 7723, 684, 1963, 3108, 3932, 4287, 5219, 7239, 8179, 308, 1945, 2793, 4011, 4822, 5832, 7218, 8080, 326, 1601, 2701, 3782, 5166, 5868, 7147, 7913, 650, 1989, 2298, 3305, 4856, 5633, 6885, 7643, 1024, 1867, 2348, 4044, 5080, 5500, 6801, 7957, 895, 1503, 2222, 3479, 5081, 6066, 6843, 8156, 1103, 1912, 2748, 3478, 4643, 5456, 7140, 7497, 360, 2043, 3011, 3934, 4778, 5800, 7144, 7790, 966, 1682, 2856, 3255, 4855, 5902, 6401, 8026, 485, 1609, 2978, 3313, 4381, 6055, 6556, 7751, 310, 1509, 2353, 3276, 4887, 5717, 7020, 7788, 611, 1346, 2700, 3693, 4637, 5347, 6592, 7362, 788, 1619, 2380, 3763, 4972, 5938, 6936, 7535, 1088, 1361, 2385, 3309, 4803, 5722, 6378, 7828, 216, 1606, 2915, 3792, 4636, 5295, 6863, 7951, 132, 1869, 2740, 3602, 4781, 5438, 6715, 7872, 186, 2032, 2729, 4171, 4896, 5866, 7160, 7521, 484, 2032, 2391, 3827, 5038, 5705, 7201, 7876, 935, 2032, 2340, 4164, 4287, 5832, 7152, 7776, 337, 2111, 3109, 3240, 4624, 6195, 7098, 8260, 91, 1396, 2802, 3710, 5073, 5378, 6823, 8013, 1015, 2073, 2340, 3440, 4764, 5413, 7140, 7845, 811, 2061, 2866, 3680, 4344, 6084, 6613, 7690, 450, 1468, 2705, 3645, 5106, 5863, 7163, 7611, 132, 1468, 2391, 3595, 4622, 5678, 6589, 8262, 105, 2028, 2730, 3595, 5040, 5364, 7132, 7727, 450, 1756, 2926, 4041, 4512, 6149, 6871, 7794, 767, 1773, 2221, 4174, 5104, 5777, 6630, 7303, 864, 1166, 2260, 3531, 5141, 5752, 7008, 7808, 493, 2066, 3090, 4087, 4545, 5499, 6805, 8163, 917, 2066, 2937, 4119, 4672, 5591, 6542, 7510, 266, 1800, 2698, 3880, 4565, 5783, 6731, 7873, 333, 1928, 2347, 3997, 4755, 5216, 6910, 8135, 386, 2110, 2690, 3989, 4550, 6204, 7112, 7490, 736, 1296, 2189, 3318, 4620, 6032, 6396, 7770, 887, 2070, 2425, 3877, 4543, 5245, 6446, 7872, 504, 1518, 2740, 3316, 4997, 5538, 7206, 7962, 271, 1239, 2330, 4086, 4728, 5761, 7065, 7311, 725, 1494, 2905, 3991, 4332, 6017, 6397, 7250, 887, 1412, 2905, 3537, 4562, 5589, 7013, 7470, 1022, 1141, 3106, 4083, 5017, 6070, 6850, 8193, 715, 1557, 2740, 3982, 4912, 5924, 6850, 7765, 225, 2059, 2998, 3474, 4901, 5276, 6914, 7962, 225, 1304, 2461, 3359, 4882, 6078, 6736, 7786, 225, 1851, 3141, 3391, 5088, 6076, 7051, 7721, 228, 1426, 2156, 3799, 5079, 5730, 7239, 7706, 228, 1593, 2791, 3528, 4859, 5500, 6584, 8202, 240, 2078, 2542, 3588, 4555, 6175, 7218, 7865, 228, 2065, 2781, 3391, 4916, 5223, 7152, 8126, 228, 2106, 2335, 3993, 4836, 5223, 7077, 8213, 256, 1550, 2781, 3648, 5166, 5640, 7152, 7557, 543, 1684, 2554, 4125, 4888, 5719, 6757, 7664, 186, 1684, 2554, 3470, 5159, 5792, 6579, 7664, 860, 1528, 2806, 3825, 4859, 6081, 6794, 8147, 488, 1622, 3065, 3825, 4555, 6139, 7226, 8196, 915, 1623, 2914, 3893, 4512, 5635, 7152, 8196, 105, 2106, 2833, 4071, 4622, 5276, 7090, 7732, 617, 2013, 2754, 3891, 4870, 6149, 6772, 8080, 617, 2013, 2287, 4071, 5130, 5385, 6809, 7715, 617, 2002, 2970, 4171, 4512, 5296, 6515, 8066, 617, 2002, 2636, 3550, 5053, 5811, 6443, 7906, 617, 2002, 2959, 3528, 4877, 6137, 6677, 7723, 617, 1974, 2959, 3827, 4611, 5515, 6607, 8266, 617, 1304, 2370, 3313, 5159, 5241, 6579, 8227, 617, 2111, 2340, 3550, 5159, 5550, 6810, 7707, 617, 2065, 2660, 4125, 4535, 5385, 6612, 7563, 552, 1750, 3147, 3550, 5012, 5515, 6740, 8261, 552, 2088, 2959, 3374, 5060, 5515, 6953, 8093, 337, 2065, 2860, 3512, 4624, 5901, 6408, 8093, 860, 2017, 2914, 4071, 5060, 6186, 6589, 7485, 488, 1528, 2806, 4018, 4624, 6211, 7077, 8196, 555, 2073, 3065, 4171, 4366, 5901, 6979, 8196, 814, 1898, 2721, 3972, 4877, 5522, 7041, 7709, 485, 1740, 2507, 3578, 4254, 5791, 6421, 7655, 803, 2050, 2849, 3610, 4843, 5649, 7078, 7704, 368, 2035, 2234, 3187, 4809, 5316, 7057, 7712, 1037, 2035, 2820, 3752, 5073, 5848, 6834, 8202, 1056, 1597, 2936, 3987, 4856, 6087, 6871, 7826, 440, 2097, 2352, 3639, 4387, 5586, 6469, 7549, 878, 1750, 3021, 4112, 4351, 6131, 7168, 7811, 552, 1147, 2899, 3662, 5193, 5890, 6986, 7501, 488, 2032, 2860, 4071, 5038, 5963, 6709, 8260, 488, 1475, 2164, 3803, 5060, 6131, 6996, 8237, 186, 2017, 2164, 3803, 4888, 6211, 6852, 8147, 488, 2017, 2781, 4071, 4888, 5901, 6630, 7485, 186, 2017, 2164, 3803, 4798, 6081, 7124, 7723, 186, 2017, 3065, 3825, 4624, 5635, 7124, 8076, 935, 1622, 3110, 3893, 4624, 5630, 6996, 7766, 186, 1528, 2164, 3825, 4888, 6139, 6794, 8066, 415, 1895, 2636, 4151, 4241, 5294, 7173, 8178, 274, 1199, 2628, 4093, 4991, 5853, 6486, 7309, 274, 2043, 2361, 3245, 4403, 5443, 6256, 8236, 183, 1490, 2579, 3251, 4549, 6160, 6563, 7519, 579, 1490, 2679, 3206, 4399, 5550, 6716, 7472, 759, 2088, 2652, 4044, 4267, 5223, 7109, 7965, 262, 1587, 3038, 3512, 4809, 5548, 6267, 8251, 805, 1217, 3132, 3843, 4686, 5260, 6957, 7361, 501, 1199, 2764, 3278, 4823, 5782, 6321, 7991, 517, 1400, 3085, 3211, 4655, 5615, 6354, 8058, 501, 1984, 3149, 3497, 4254, 5623, 6581, 8180, 472, 1708, 2189, 3600, 4539, 5634, 7108, 7758, 802, 1387, 3078, 3624, 4755, 5396, 6354, 7923, 123, 1665, 3126, 3847, 4292, 5735, 6803, 7762, 83, 1984, 2152, 3567, 4292, 5512, 6710, 7604, 1008, 1747, 2165, 4128, 4846, 5473, 6533, 7435, 1008, 1771, 2316, 3981, 4659, 5512, 6517, 7423, 1008, 1318, 2316, 3972, 4570, 5512, 6409, 7513, 961, 1743, 2316, 3187, 4857, 5288, 7085, 7539, 776, 1704, 2316, 3176, 4210, 5714, 6367, 7416, 1008, 1727, 2231, 3479, 4664, 6017, 7063, 7476, 1016, 2035, 2476, 3338, 4599, 6146, 7166, 7689, 1011, 1897, 3023, 3559, 4755, 6014, 6912, 7466, 663, 1992, 2783, 4017, 4589, 5966, 6911, 7563, 427, 1747, 2998, 3206, 4551, 5385, 7239, 7768, 878, 1791, 2947, 3226, 5097, 6128, 6953, 7962, 901, 2045, 2904, 3188, 5075, 5223, 6942, 7453, 878, 1326, 2263, 3440, 4870, 5678, 6953, 7563, 878, 1525, 2925, 3615, 4980, 5863, 6723, 7383, 878, 1750, 2473, 3233, 4215, 5811, 7207, 8185, 132, 1845, 3065, 3391, 4681, 5385, 6612, 7703, 684, 2046, 3021, 3487, 5165, 5602, 6844, 7303, 685, 2035, 2873, 3999, 4423, 5899, 6612, 8014, 166, 1469, 2353, 4038, 4664, 5928, 6365, 8075, 504, 2048, 3040, 3727, 4470, 5278, 6929, 7869, 1029, 1469, 3126, 3356, 5032, 5322, 6522, 7255, 986, 1428, 3040, 3610, 4772, 5220, 6390, 7973, 150, 1439, 3040, 4091, 5073, 5909, 6346, 7438, 1025, 2089, 2835, 3777, 5128, 6147, 6969, 8087, 1016, 2079, 2766, 3554, 5193, 5540, 6592, 7732, 1090, 2019, 2381, 3376, 4589, 5345, 6408, 7454, 390, 1728, 2880, 3681, 4895, 6150, 6620, 7677, 984, 1874, 3011, 3543, 5166, 6087, 7232, 8077, 256, 1304, 2803, 3394, 4611, 6149, 6433, 7919, 518, 1490, 3091, 3782, 4387, 5436, 7096, 7749, 878, 1525, 2746, 4096, 5104, 6137, 6840, 7498, 901, 1635, 3092, 3994, 5075, 6050, 6592, 7717, 256, 1648, 3095, 4011, 4583, 5219, 6810, 7715, 878, 1597, 3150, 3595, 4859, 6081, 7109, 7887, 878, 1490, 2971, 4161, 4681, 5438, 7221, 7707, 878, 2106, 2542, 4145, 4512, 5767, 6717, 8188, 579, 2060, 3064, 3994, 4611, 5548, 6717, 8093, 132, 1684, 2340, 3662, 5129, 5981, 6677, 7876, 959, 1966, 2936, 4174, 5020, 5761, 7197, 7806, 1033, 1386, 2224, 3836, 4813, 6120, 6352, 7939, 1016, 1208, 2627, 3678, 5042, 5900, 6744, 7928, 344, 1208, 2958, 3642, 4547, 5545, 6955, 7545, 492, 1736, 2927, 3793, 4457, 5700, 6241, 7841, 993, 1510, 2432, 3745, 5118, 5602, 6906, 7451, 491, 1581, 2156, 3788, 4811, 5444, 6520, 7478, 807, 1938, 2602, 3298, 4711, 6104, 6443, 8145, 139, 2003, 2268, 3393, 4849, 6109, 6224, 7880, 693, 1388, 2751, 3190, 4426, 5597, 6958, 8169, 487, 1540, 2313, 3516, 4604, 5609, 7095, 7962, 545, 1700, 2260, 3726, 4298, 5767, 7048, 8218, 103, 1906, 2133, 3741, 4298, 5750, 6838, 7474, 575, 1942, 2797, 4021, 4298, 6151, 7002, 8188, 103, 1562, 3018, 4147, 4784, 5648, 6615, 7638, 504, 1289, 2288, 3904, 4989, 5610, 7146, 7800, 678, 1782, 3144, 3372, 5040, 5613, 7229, 8161, 643, 1834, 2144, 3751, 5075, 5710, 6590, 7759, 940, 1411, 2771, 3649, 4439, 6215, 7094, 7846, 970, 1324, 2940, 4103, 4985, 6033, 6871, 7753, 779, 1747, 2440, 3909, 4533, 5705, 6820, 7481, 831, 2068, 2740, 3838, 4912, 6131, 7100, 7421, 424, 1164, 2728, 3410, 4379, 6120, 6740, 8017, 610, 1858, 2315, 3660, 4588, 6085, 6702, 7255, 663, 1992, 2440, 3231, 4792, 5983, 6898, 8083, 779, 2068, 2946, 4039, 5159, 5983, 6776, 7485, 779, 1430, 2582, 3945, 4861, 6085, 7220, 7664, 779, 1998, 2960, 3645, 4426, 6195, 6979, 7723, 1056, 2000, 2760, 3472, 4885, 5630, 6515, 8179, 804, 2046, 3064, 4108, 5061, 5883, 7239, 7723, 1097, 1467, 2960, 3710, 4912, 5883, 7058, 8083, 956, 2046, 3117, 3990, 4366, 5241, 6972, 7485, 488, 2046, 3008, 3825, 4822, 6139, 6979, 8147, 818, 2017, 2806, 3982, 4630, 5241, 6972, 7723, 488, 1528, 2806, 3982, 5104, 6139, 7124, 8223, 488, 1528, 2806, 3982, 4624, 6081, 6794, 7949, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]
[ 1, 43, 48, 5, 33, 54, 30, 16, 30, 5, 28, 26, 5, 64, 39, 44, 55, 5, 5, 3, 915, 1345, 3021, 4145, 5159, 5438, 7152, 8147, 555, 1623, 3021, 4166, 4387, 5832, 6972, 8147, 488, 1528, 3117, 3367, 4798, 5901, 7120, 7715, 142, 1528, 2914, 3825, 4704, 6139, 7226, 8196, 419, 1623, 2947, 4071, 5038, 5635, 7124, 8237, 756, 2008, 2492, 3623, 4801, 5899, 7163, 8102, 487, 1315, 2257, 4000, 4885, 6135, 7087, 7740, 557, 1550, 2531, 3936, 4539, 5423, 6760, 8033, 1004, 1550, 2693, 4103, 4604, 5454, 6478, 7436, 737, 1550, 2520, 3251, 4651, 5224, 7221, 7740, 582, 2053, 3091, 3376, 4580, 5709, 6224, 7248, 582, 1550, 2492, 3704, 4542, 5719, 6898, 7798, 807, 1550, 2183, 3356, 4853, 5523, 7086, 7966, 986, 2033, 3091, 3826, 4576, 5347, 6740, 7913, 487, 1768, 3040, 3476, 4371, 6154, 7118, 7796, 737, 1550, 2292, 3727, 4943, 5884, 6870, 8061, 896, 1550, 2751, 4102, 5005, 5921, 7051, 7416, 989, 1550, 3019, 3329, 4848, 5485, 6432, 7317, 1004, 1826, 2726, 3792, 4377, 5972, 7164, 7652, 363, 1673, 2717, 3566, 4347, 5825, 6957, 7261, 730, 1356, 2210, 3413, 4935, 5257, 6241, 7617, 249, 1621, 2487, 4152, 4884, 5579, 6828, 7531, 632, 1363, 2346, 4128, 4814, 5783, 7001, 8149, 1080, 1264, 2987, 3616, 4593, 5539, 6592, 7273, 401, 1623, 2456, 3298, 4423, 6187, 6225, 7677, 223, 1669, 2693, 4106, 5042, 5908, 7128, 8195, 731, 1531, 2829, 3575, 4991, 5433, 6967, 8013, 391, 1244, 2377, 4004, 5164, 5333, 6240, 7677, 948, 1640, 2868, 3426, 5051, 5677, 7207, 8260, 1047, 1333, 2678, 4026, 4954, 5260, 7133, 7480, 131, 1541, 2464, 3254, 4311, 5313, 6224, 7976, 98, 1719, 2961, 3344, 4590, 5958, 6716, 7551, 200, 1645, 2625, 3599, 5193, 5357, 6956, 8178, 1038, 2118, 2379, 3623, 5072, 6031, 6269, 7862, 914, 1938, 2429, 3994, 4801, 5802, 6612, 7627, 510, 1120, 2924, 3487, 5088, 5586, 7232, 8260, 512, 1924, 2833, 4145, 4589, 5635, 6830, 8260, 684, 2068, 2833, 3962, 5129, 5749, 6540, 7260, 684, 1705, 2991, 3945, 4780, 5678, 7168, 7948, 959, 1777, 2151, 3566, 5088, 5873, 6302, 7480, 779, 1833, 3098, 3826, 4870, 5796, 6284, 7957, 1036, 1855, 2607, 4013, 5044, 5990, 7158, 7962, 580, 1205, 2937, 3604, 4383, 6034, 7174, 7409, 584, 1195, 3091, 3960, 4545, 6089, 6781, 7333, 360, 1679, 2464, 3267, 4479, 5593, 6675, 7502, 493, 1959, 3091, 3770, 5161, 6116, 6413, 8038, 261, 1627, 3091, 3496, 4356, 5957, 6807, 7983, 546, 2058, 2638, 3616, 4220, 6118, 7194, 8189, 1017, 1834, 2705, 3332, 4525, 5613, 6601, 8092, 884, 1732, 2464, 3465, 4183, 5664, 6408, 7648, 103, 2009, 2656, 3504, 4868, 5585, 6612, 8190, 518, 1675, 2679, 4115, 5097, 5795, 7150, 7580, 195, 1961, 2731, 3798, 4757, 5811, 6901, 7846, 654, 1961, 3147, 3468, 5143, 5723, 6338, 7492, 240, 1304, 2730, 3555, 5138, 6097, 6688, 7781, 518, 1570, 2691, 3753, 4334, 6195, 6474, 7831, 518, 1851, 3109, 3798, 5101, 5216, 6563, 7865, 195, 1454, 2581, 3550, 4737, 6131, 6688, 8130, 518, 1304, 2316, 3681, 4560, 5515, 7160, 7865, 518, 1386, 3133, 3873, 4691, 5556, 6840, 7838, 317, 2111, 2316, 3681, 4912, 5861, 7219, 8262, 160, 1190, 2487, 3478, 4306, 5313, 7008, 8235, 728, 1268, 2271, 3376, 5174, 5320, 6984, 7917, 363, 2118, 2929, 4106, 4351, 5880, 6637, 7648, 943, 1842, 2495, 3394, 4354, 6034, 6799, 8057, 723, 1442, 2464, 3329, 4571, 5454, 6403, 8133, 994, 2009, 2327, 4066, 4302, 5257, 6628, 7742, 1019, 2027, 2610, 3227, 4539, 5618, 6241, 8161, 458, 1550, 3106, 3570, 5097, 5716, 6241, 8146, 137, 1397, 2339, 3496, 4755, 6062, 7071, 8160, 1101, 1389, 2448, 3936, 4351, 6033, 6595, 7726, 487, 1393, 2253, 3423, 4552, 6145, 7200, 7408, 884, 2027, 3029, 3943, 5148, 5486, 6821, 7999, 884, 1842, 3066, 3227, 4604, 5457, 6702, 7396, 137, 1708, 2383, 3187, 4739, 6122, 6376, 7689, 880, 1969, 3066, 3969, 4578, 6192, 6748, 7398, 1019, 1942, 2352, 4010, 4873, 5456, 6663, 7318, 487, 1150, 2258, 3434, 4604, 6146, 6582, 7657, 487, 1403, 2795, 4029, 4535, 6154, 6701, 8220, 986, 1924, 2777, 3936, 5040, 5792, 6545, 8168, 887, 1550, 2678, 3799, 4555, 6085, 7017, 7873, 271, 1831, 2829, 3218, 4651, 5296, 7114, 8128, 1025, 1685, 2736, 3756, 5146, 5965, 7076, 7684, 826, 1858, 2793, 4096, 4839, 6171, 6674, 8143, 826, 1858, 2688, 4096, 4541, 5792, 6526, 7991, 778, 1570, 2937, 4162, 4541, 5769, 6908, 8140, 857, 1369, 2818, 3664, 4985, 5396, 6892, 8061, 956, 2000, 2593, 3662, 5080, 5952, 6393, 7716, 186, 1791, 2991, 3188, 4822, 6182, 7077, 7887, 818, 1998, 2806, 4011, 4622, 5241, 6515, 8260, 956, 1620, 3117, 4145, 5061, 5981, 7201, 7876, 1099, 2000, 2946, 3188, 5104, 5832, 7006, 8147, 555, 2000, 2730, 3891, 4630, 6103, 7120, 8237, 555, 2111, 2554, 4071, 4681, 6129, 6972, 8237, 859, 1332, 2554, 3891, 5157, 6137, 6996, 8179, 859, 1332, 2775, 4171, 4859, 5981, 6515, 7732, 859, 2065, 3143, 4166, 5007, 5963, 6752, 7732, 555, 2111, 2970, 3376, 4700, 6081, 6677, 8132, 4, 2 ]
[ 1, 65, 14, 52, 5, 26, 5, 66, 63, 26, 5, 66, 73, 5, 65, 57, 5, 77, 73, 5, 41, 52, 20, 63, 16, 54, 64, 5, 54, 26, 66, 44, 55, 42, 38, 52, 5, 14, 66, 5, 64, 33, 75, 16, 54, 66, 48, 54, 5, 5, 3, 945, 1528, 2806, 3825, 5166, 6081, 7124, 8147, 860, 2017, 2806, 3893, 4704, 6139, 7124, 8223, 797, 1528, 2914, 3825, 4624, 6139, 7226, 8147, 617, 1935, 2839, 4124, 5088, 5811, 6752, 7723, 568, 1971, 2839, 3236, 4205, 5219, 6786, 8047, 568, 1958, 3133, 4103, 4706, 5586, 7090, 7697, 334, 1286, 2946, 3879, 4374, 5218, 6809, 8132, 568, 1695, 3059, 3605, 4423, 5942, 7098, 8199, 859, 1876, 3144, 3891, 4881, 5935, 7181, 7376, 731, 2111, 2945, 3413, 4529, 5266, 6871, 7906, 318, 1234, 2848, 3968, 4609, 5500, 6616, 8197, 943, 1141, 2940, 3536, 4636, 5477, 6866, 8086, 386, 1812, 2361, 3479, 5031, 5517, 6548, 7602, 864, 2066, 3073, 3963, 4442, 5473, 6798, 7296, 1011, 2035, 3040, 4085, 4537, 5816, 6677, 8205, 731, 1972, 2858, 3420, 4653, 5856, 6333, 7508, 1064, 1222, 2130, 3854, 4666, 5745, 7024, 8186, 1064, 1338, 2603, 3450, 5124, 5205, 6743, 7265, 639, 1509, 2869, 3488, 4316, 5361, 6392, 7927, 850, 1596, 2298, 4081, 5007, 5581, 6901, 8012, 1084, 1905, 2953, 3807, 4834, 5540, 6655, 8102, 391, 1561, 2761, 3610, 5143, 6034, 6705, 7598, 731, 1561, 2503, 3217, 4220, 5433, 6772, 8081, 731, 1141, 2578, 3236, 4681, 6182, 6251, 8125, 510, 1280, 3128, 3771, 4859, 5963, 7111, 7838, 488, 2001, 3135, 3440, 4287, 5241, 7201, 8188, 935, 1508, 2781, 4171, 4558, 5630, 6709, 7723, 967, 1508, 2709, 3226, 5104, 5963, 6752, 7677, 421, 1736, 3147, 3292, 4411, 6010, 6772, 7447, 334, 1424, 2242, 3704, 5167, 5589, 6734, 7442, 874, 1141, 2468, 3891, 4795, 6002, 6291, 8187, 541, 2060, 2868, 3364, 4622, 5689, 6672, 7555, 579, 1851, 2860, 3930, 4918, 5581, 6467, 7359, 473, 1705, 2989, 4174, 4514, 5886, 6713, 8047, 408, 1173, 2258, 4097, 4588, 6083, 6658, 7650, 360, 1512, 2764, 3340, 4422, 5624, 7033, 7296, 862, 1173, 2299, 3218, 5039, 6215, 6933, 8213, 864, 1490, 2633, 3992, 4425, 5686, 6386, 8077, 862, 1496, 2869, 3975, 4904, 5691, 6506, 7516, 1101, 1267, 2869, 3316, 4734, 5671, 7031, 7943, 1052, 1171, 3147, 4159, 4213, 5311, 6696, 7988, 759, 1692, 2596, 3720, 4683, 5791, 7219, 7841, 1102, 1782, 3032, 3936, 4554, 5650, 6988, 7717, 804, 2063, 2991, 3990, 4918, 5216, 6467, 7718, 935, 2065, 2975, 4018, 4912, 5883, 7201, 7574, 495, 2098, 2491, 4106, 4795, 6114, 6727, 7293, 874, 1116, 2760, 3591, 4859, 5681, 6725, 7959, 1071, 1570, 2282, 3575, 4538, 5963, 6776, 7761, 1033, 1510, 2666, 3920, 4611, 6164, 6543, 8031, 113, 1858, 2172, 3870, 5188, 5725, 6702, 7426, 1011, 1397, 2798, 3537, 4682, 6215, 7030, 7311, 160, 1732, 3005, 3314, 4444, 5837, 7033, 8076, 757, 1369, 2629, 4026, 4435, 5706, 7103, 7954, 334, 1286, 3038, 4128, 4682, 5830, 6286, 7772, 334, 1958, 2156, 3227, 4881, 5534, 6575, 7609, 334, 1289, 2944, 3171, 4852, 6182, 6718, 7252, 225, 1289, 2971, 3930, 5075, 5723, 6575, 7284, 334, 1289, 3150, 3914, 4267, 5610, 7103, 8056, 334, 1564, 2595, 3596, 4789, 5436, 7103, 7873, 334, 1286, 2740, 4026, 4486, 5972, 6635, 7510, 568, 1133, 2468, 4005, 4321, 6216, 7109, 7878, 334, 1286, 2693, 3930, 4541, 5668, 6511, 7275, 568, 1269, 2740, 3923, 4863, 5908, 7024, 7838, 568, 1958, 2341, 3352, 4793, 5913, 7207, 7967, 568, 1289, 2468, 3782, 4411, 6149, 7035, 7962, 757, 2127, 3139, 3904, 4945, 5844, 6607, 7706, 356, 1510, 2880, 3352, 4863, 6163, 6740, 8262, 211, 1340, 2210, 3930, 5125, 5223, 6388, 7753, 223, 1794, 2958, 3405, 4633, 5745, 6603, 7910, 895, 1545, 2378, 3943, 4876, 6144, 6456, 8150, 665, 2009, 2378, 3418, 4778, 6119, 6255, 7276, 569, 1630, 2309, 3649, 4274, 5212, 7240, 7902, 778, 1725, 2389, 4137, 4499, 5723, 7043, 7954, 104, 1838, 2480, 3430, 4738, 6067, 6710, 8253, 850, 1838, 2639, 3762, 5124, 5761, 6525, 7398, 826, 1326, 2234, 4102, 5084, 6119, 6903, 7869, 104, 1660, 3091, 4014, 4644, 6117, 6703, 7927, 778, 1141, 2737, 3488, 4646, 5512, 6720, 7707, 104, 1139, 2352, 4162, 5183, 5765, 6985, 7724, 778, 2013, 2156, 3358, 4912, 5765, 6614, 7851, 103, 1350, 3053, 3967, 4870, 5472, 6648, 7801, 103, 1932, 2945, 3741, 4448, 6131, 6431, 7811, 103, 1553, 2801, 3967, 4215, 6221, 6668, 7476, 103, 2107, 2250, 3975, 4550, 5746, 6888, 7801, 986, 1797, 2974, 3812, 4402, 5250, 6497, 8117, 614, 1808, 2352, 3605, 5162, 5757, 7094, 7743, 986, 1250, 2506, 3642, 4604, 6180, 6982, 8000, 850, 1116, 2156, 3358, 4687, 6163, 6579, 7248, 778, 2065, 2156, 4064, 5098, 6002, 6853, 7536, 104, 1509, 2564, 3642, 4732, 5444, 6768, 7955, 104, 1509, 2503, 3498, 5183, 5565, 6883, 7677, 887, 1850, 2868, 3298, 4429, 5344, 6736, 8077, 887, 1778, 3092, 3543, 4873, 5780, 6413, 8161, 299, 1838, 2847, 3946, 4875, 5368, 7033, 7752, 150, 2053, 2130, 3601, 4873, 6115, 7246, 7902, 150, 2053, 2847, 3601, 5175, 5558, 6350, 7554, 887, 1499, 2895, 3579, 4543, 5898, 6477, 8145, 887, 1499, 2292, 4011, 4873, 5689, 7109, 7604, 887, 1318, 3075, 3681, 4834, 5654, 6786, 7532, 645, 1773, 3043, 4171, 5165, 5694, 6770, 7494, 878, 1918, 2957, 3961, 4541, 5678, 6898, 7707, 518, 1490, 2833, 3364, 4555, 5767, 7006, 7839, 901, 1332, 3008, 3710, 4512, 5689, 6478, 8237, 518, 2000, 3000, 3932, 4918, 5624, 6251, 7252, 518, 2097, 3008, 3364, 5061, 5901, 7232, 7732, 518, 1648, 3000, 3891, 4978, 6129, 6677, 8262, 489, 1623, 2542, 3364, 5088, 6149, 7160, 7941, 757, 1858, 2163, 3206, 4780, 5955, 6630, 8225, 356, 1269, 3021, 3951, 4622, 5216, 7103, 7806, 756, 1248, 2858, 3540, 5053, 5844, 6957, 7865, 650, 1591, 2309, 3478, 4324, 5855, 6348, 7494, 113, 1469, 2144, 3653, 4383, 5209, 6921, 7521, 826, 2035, 2361, 3830, 4621, 6146, 6663, 7901, 664, 1199, 3010, 3212, 4774, 5928, 6517, 7787, 635, 1938, 2393, 3966, 4477, 5878, 6509, 7803, 723, 1633, 2774, 3790, 4833, 5551, 7008, 8140, 493, 1919, 2130, 3385, 5081, 5253, 6398, 7954, 247, 1582, 2450, 4073, 4604, 5914, 6696, 7708, 1080, 1156, 3151, 3936, 4565, 6042, 7192, 7787, 360, 1831, 2741, 3549, 4805, 5947, 6760, 7897, 840, 1350, 2142, 4030, 4730, 6098, 6659, 7462, 404, 1521, 2291, 4073, 4804, 6021, 6957, 8242, 536, 2039, 2848, 4079, 5161, 5871, 6734, 8100, 492, 1603, 2332, 4030, 4205, 6090, 7116, 7504, 993, 1632, 2349, 3165, 4930, 5864, 6781, 8243, 535, 1299, 2349, 3304, 4552, 5799, 6494, 8139, 895, 1244, 3075, 4008, 4875, 5518, 6570, 8118, 850, 1633, 2429, 3952, 4333, 5325, 6314, 8017, 826, 1676, 2990, 3410, 4762, 5687, 6309, 7962, 887, 1881, 2515, 3917, 4467, 5784, 6349, 7329, 104, 1633, 2899, 3430, 4444, 5767, 6254, 7677, 1025, 1918, 2989, 4087, 4611, 5500, 6706, 8099, 756, 1463, 2282, 3832, 4543, 5787, 6918, 8238, 225, 2114, 2175, 3976, 5072, 6094, 6939, 7447, 225, 2002, 2132, 3753, 4715, 6085, 6732, 7878, 225, 2111, 2132, 3723, 4350, 5962, 6338, 8195, 240, 1525, 2466, 3623, 4512, 5223, 7019, 8267, 240, 1623, 3133, 3376, 4193, 5678, 7095, 8164, 240, 1750, 2904, 3394, 4329, 5901, 7207, 8129, 818, 1623, 3135, 3726, 4387, 5413, 7100, 7477, 818, 1622, 2560, 3516, 4877, 5678, 6579, 7782, 510, 1623, 2838, 3838, 4859, 6205, 6338, 7876, 685, 2090, 2803, 4145, 5159, 5565, 6657, 8203, 160, 1630, 2944, 3398, 5098, 5927, 7207, 7878, 778, 1269, 2974, 3229, 4920, 5954, 6899, 7962, 104, 1918, 2272, 3427, 4826, 5413, 6828, 7784, 535, 1596, 2715, 3479, 4978, 6181, 6908, 7955, 862, 1119, 2953, 3936, 4945, 5363, 6267, 7937, 702, 1735, 2240, 4015, 4995, 5970, 7079, 7812, 396, 1828, 2972, 3533, 5075, 6141, 6282, 7584, 810, 2118, 3010, 3271, 4607, 5792, 6610, 8197, 1036, 1283, 2848, 4053, 4962, 6077, 6468, 7955, 1019, 1507, 2625, 3356, 4734, 5508, 6275, 8061, 666, 1942, 2871, 4073, 4604, 6222, 6957, 8189, 487, 1954, 2258, 3924, 4274, 5992, 6984, 7869, 807, 1444, 2156, 3613, 4459, 5749, 6225, 7695, 391, 1164, 2703, 4137, 4321, 5208, 6736, 7913, 356, 1146, 2872, 3913, 4691, 6125, 6397, 7896, 356, 1705, 2779, 3649, 4593, 5684, 6540, 7558, 756, 1623, 2895, 3710, 4512, 6131, 6776, 7816, 844, 1633, 2315, 3513, 4555, 5536, 6614, 7732, 750, 1889, 2365, 4087, 4949, 6016, 7072, 8225, 487, 1141, 2470, 3417, 4533, 5746, 6251, 7529, 1024, 1205, 2874, 3714, 5111, 5874, 6325, 7911, 806, 1773, 2751, 3756, 5005, 5441, 6813, 8248, 850, 1858, 3061, 3660, 4571, 5441, 6484, 8208, 887, 1164, 2163, 3521, 4385, 6080, 6255, 8171, 850, 1671, 2429, 3395, 4791, 5935, 7008, 7545, 778, 1269, 3076, 3543, 4573, 5286, 7014, 7941, 104, 1269, 2480, 4115, 4259, 5784, 6985, 7986, 1025, 1399, 2750, 3271, 4791, 6171, 6498, 7777, 408, 1269, 2990, 3853, 4893, 6007, 6525, 7846, 391, 2024, 2429, 3848, 4896, 6080, 6702, 7962, 940, 1858, 3007, 3870, 4359, 5797, 6892, 7887, 390, 1407, 2940, 3956, 4780, 5661, 7010, 7706, 757, 1550, 2435, 3562, 4579, 6218, 6726, 7812, 715, 1550, 2167, 3671, 5160, 6128, 6986, 7478, 103, 1369, 2554, 3649, 4590, 5650, 7043, 7375, 487, 1397, 3141, 3474, 4205, 6167, 6733, 8178, 1036, 1550, 2734, 3714, 4340, 5656, 6883, 8033, 234, 1881, 2751, 3417, 5151, 6181, 6889, 7606, 862, 1399, 2720, 3943, 4371, 5437, 6462, 8033, 1080, 1397, 2847, 3764, 5155, 5640, 6632, 7869, 995, 1732, 2992, 3358, 5151, 6007, 6426, 7574, 1084, 1118, 2751, 3764, 5134, 6191, 7055, 7904, 938, 1561, 2915, 3575, 4437, 6135, 6611, 7817, 862, 1653, 2396, 3261, 5097, 5976, 6606, 8151, 569, 1918, 2506, 3399, 5072, 5610, 6458, 7955, 113, 1507, 2818, 4067, 4571, 6117, 6813, 8099, 976, 1346, 2547, 3943, 4834, 6117, 6354, 7452, 271, 1407, 2871, 3499, 4506, 5387, 6765, 7676, 569, 1199, 3130, 3601, 4444, 5408, 6265, 8032, 1003, 1972, 2173, 3540, 4666, 5408, 7229, 7369, 1025, 1740, 3061, 3161, 4930, 5233, 6476, 7428, 938, 1740, 3101, 3533, 4930, 5810, 6710, 7799, 1024, 2063, 2573, 3233, 5138, 5350, 6224, 7457, 692, 1496, 2520, 4007, 4981, 5365, 6254, 7264, 938, 1510, 3003, 3630, 4604, 5320, 6762, 7745, 938, 1349, 2156, 3192, 4562, 5810, 6846, 8099, 715, 1485, 2629, 3498, 4411, 5796, 6244, 8100, 419, 1750, 2947, 3994, 4877, 5216, 7207, 8195, 818, 2068, 3095, 4108, 5165, 5883, 7084, 8147, 789, 1304, 2996, 3440, 5159, 5678, 7010, 7876, 127, 1623, 2970, 3595, 4648, 5811, 7103, 7547, 654, 1847, 2953, 3873, 4387, 5719, 7157, 7549, 518, 2127, 2746, 3277, 4622, 5830, 7239, 7262, 518, 2127, 2356, 4015, 4398, 5515, 7090, 7865, 195, 1935, 3052, 3227, 4904, 5586, 7051, 7715, 654, 1345, 2287, 4096, 5007, 5962, 7006, 7887, 518, 1979, 3139, 4174, 5083, 5962, 6889, 8044, 256, 2118, 2473, 4174, 4622, 5624, 6757, 8080, 617, 1826, 3098, 4161, 4918, 6205, 7059, 8262, 160, 1373, 2944, 3832, 4691, 5216, 6343, 8058, 1019, 1349, 2313, 3894, 4539, 5902, 6917, 7756, 997, 1597, 2484, 3765, 5114, 6076, 6957, 8139, 546, 1489, 2625, 4025, 4800, 5955, 6255, 7549, 396, 1273, 2355, 4003, 4404, 5814, 6866, 7436, 371, 1455, 2365, 3613, 4905, 5393, 7229, 7549, 959, 2068, 3080, 3300, 5127, 6051, 7028, 7256, 308, 2001, 2803, 3932, 4324, 6163, 7175, 7644, 844, 1956, 2678, 3540, 4651, 5998, 6919, 8260, 708, 2091, 2293, 3314, 4985, 5998, 6570, 7395, 761, 1299, 2678, 3513, 4773, 5752, 6231, 7476, 895, 1826, 2891, 3508, 4946, 5810, 6715, 7720, 1025, 1350, 2414, 3979, 4918, 5539, 7114, 7887, 826, 1676, 2750, 3201, 4334, 5761, 6716, 8069, 778, 1755, 2888, 4145, 4936, 5952, 6776, 7902, 831, 1778, 3033, 3696, 4867, 5579, 6260, 8237, 663, 1919, 3061, 3645, 4365, 6175, 6286, 7485, 914, 1120, 3144, 3271, 4387, 5366, 7048, 7311, 818, 1998, 3007, 4108, 4287, 6129, 6786, 7717, 935, 1620, 3135, 3226, 4551, 6014, 6752, 8083, 878, 2068, 3133, 4145, 4611, 5687, 7096, 8236, 824, 2013, 2282, 3550, 4780, 5776, 6877, 7643, 225, 1349, 2608, 3798, 4658, 5874, 6757, 7570, 183, 1684, 3147, 3982, 4387, 5901, 6895, 7485, 356, 1467, 3021, 3990, 4387, 6146, 7230, 7865, 390, 1460, 3022, 3873, 4797, 6128, 7100, 8066, 390, 2053, 2941, 4135, 4954, 5298, 7090, 7279, 986, 1932, 2751, 3593, 4902, 6200, 6574, 8061, 487, 1255, 2728, 3649, 4736, 5474, 6529, 7279, 545, 1700, 3116, 3472, 4622, 6073, 6702, 7702, 582, 1577, 3080, 4125, 4945, 5761, 6799, 7318, 831, 1942, 3149, 4021, 4288, 5514, 7222, 8232, 986, 1581, 2340, 3472, 4364, 5787, 6241, 8206, 643, 1553, 2515, 3828, 4949, 6119, 6813, 7494, 970, 1807, 3005, 3937, 4298, 5620, 6547, 7476, 504, 1706, 2817, 3472, 4589, 5384, 7099, 7559, 806, 1289, 2292, 3770, 4321, 5637, 7094, 7542, 1025, 1492, 2923, 3300, 4437, 5320, 6832, 8086, 887, 1244, 2346, 3918, 4900, 6221, 6238, 8213, 850, 1676, 2503, 3770, 4622, 5980, 6592, 7721, 424, 1685, 2481, 3741, 4305, 5589, 7075, 7678, 1011, 1808, 2436, 4085, 4218, 5200, 6708, 7629, 1024, 1671, 2923, 4096, 4604, 5216, 6941, 8257, 1090, 1363, 2946, 3361, 5166, 5981, 6668, 7260, 610, 1881, 2902, 4082, 4379, 5761, 6899, 7962, 831, 1227, 2887, 3922, 5104, 5978, 7220, 8132, 940, 1399, 2989, 3540, 5088, 5565, 6702, 8195, 955, 1915, 2803, 3188, 5159, 5534, 7207, 8237, 955, 1777, 3008, 3516, 4179, 5661, 7084, 8237, 1056, 1850, 2783, 4174, 4287, 5911, 6584, 7485, 955, 2079, 3135, 3990, 5104, 6195, 6809, 7876, 308, 1809, 2783, 4171, 5104, 6146, 6515, 7876, 1099, 1963, 3135, 4068, 4980, 5612, 6996, 8083, 915, 2041, 3128, 4108, 4704, 6129, 6786, 7949, 818, 1963, 3128, 4108, 4980, 5241, 6979, 7949, 488, 2017, 2914, 3893, 5038, 6139, 6972, 8147, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8147, 488, 1622, 2914, 3893, 5104, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6129, 7077, 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, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]
[ 1, 16, 5, 28, 63, 48, 78, 5, 64, 62, 63, 14, 55, 5, 17, 62, 5, 5, 3, 488, 2017, 3117, 3932, 4704, 5705, 7201, 8147, 915, 1508, 2806, 3825, 5058, 5241, 7077, 8147, 639, 1723, 3098, 4026, 5143, 6008, 6929, 8038, 595, 1503, 2227, 3486, 4906, 5696, 6929, 7574, 781, 1503, 2304, 3254, 5072, 5909, 6871, 7593, 643, 1503, 2539, 3540, 4557, 6026, 7229, 7652, 779, 1797, 2783, 3400, 4583, 6026, 6525, 7823, 304, 1637, 2708, 3226, 4782, 5294, 6996, 7720, 571, 1467, 2998, 3188, 4630, 5834, 6408, 7949, 308, 1523, 2860, 3819, 5166, 6085, 6810, 7290, 512, 2000, 2520, 4071, 4583, 6103, 6988, 7421, 512, 1675, 2803, 3909, 5104, 6103, 7077, 7658, 401, 2125, 2947, 3803, 5058, 5978, 7220, 8267, 390, 1869, 3043, 3886, 4822, 5534, 7077, 8195, 886, 1965, 2664, 3826, 4213, 5250, 7099, 8205, 722, 1700, 3099, 3759, 4993, 5250, 6328, 8030, 948, 1874, 2910, 3318, 4780, 6084, 7038, 8150, 1003, 1450, 2608, 4100, 5141, 5613, 6976, 8259, 204, 1396, 2968, 3300, 5023, 5890, 6528, 8152, 408, 1327, 2752, 3598, 4996, 5491, 6595, 7551, 404, 1141, 2789, 3310, 4377, 5296, 6601, 7789, 722, 1742, 2378, 3471, 4346, 5958, 6665, 7413, 930, 1510, 2542, 3870, 5081, 5470, 7224, 8099, 397, 2113, 2487, 3967, 4801, 5767, 6924, 8246, 545, 1889, 2717, 3600, 5122, 5223, 6876, 8262, 902, 1277, 3091, 4120, 4238, 5250, 6802, 7959, 545, 1252, 2658, 3385, 4238, 5297, 6525, 7821, 545, 1326, 2453, 3245, 5114, 5797, 7181, 7655, 582, 1331, 2311, 3333, 4617, 5995, 6768, 7902, 613, 1118, 2225, 3464, 4598, 6135, 7099, 7873, 986, 1668, 2311, 3773, 4620, 5396, 6468, 7881, 1033, 1674, 2629, 4137, 4931, 5262, 6918, 7669, 160, 1674, 2561, 4137, 4337, 5613, 7114, 7529, 1025, 2008, 2156, 3728, 5185, 5493, 6485, 8262, 1025, 1674, 2453, 3421, 4592, 5425, 6986, 7677, 1025, 1674, 2463, 3238, 4338, 5370, 6668, 7954, 610, 1577, 2148, 3986, 4954, 6178, 6237, 8149, 424, 2126, 2946, 3576, 4392, 5441, 7192, 7920, 487, 2079, 2646, 3848, 4448, 6135, 6603, 7852, 986, 1932, 2453, 3375, 5067, 6135, 6348, 8240, 582, 2063, 2579, 3421, 4800, 5740, 6803, 7713, 424, 2053, 2579, 3631, 4218, 5474, 6763, 7888, 1059, 1732, 2579, 3358, 4509, 5993, 7140, 7535, 831, 1570, 3046, 3749, 4609, 6034, 6632, 7582, 715, 1906, 2316, 3502, 4942, 6002, 7205, 8095, 1059, 1732, 2152, 3603, 4189, 5781, 6883, 8170, 317, 1932, 2258, 3792, 4727, 5480, 6340, 7451, 228, 1994, 2316, 3208, 5042, 5600, 6461, 8041, 518, 1519, 2833, 3904, 4611, 6180, 6584, 7954, 654, 2034, 2783, 3564, 4870, 5844, 7001, 7715, 654, 1304, 3147, 4113, 4870, 5811, 7084, 8267, 654, 1108, 2858, 3555, 4715, 5677, 6889, 7494, 127, 2034, 2221, 3171, 5091, 6137, 7010, 8076, 518, 1653, 2529, 3681, 4870, 6131, 7019, 8126, 518, 1756, 2941, 3298, 4782, 6065, 6909, 7838, 183, 1304, 2792, 3227, 4844, 5734, 6648, 7706, 1097, 1945, 3135, 3391, 4387, 5514, 6613, 7806, 419, 1750, 2669, 3564, 4624, 5767, 6794, 7303, 419, 1750, 2941, 3595, 4583, 5515, 7006, 7766, 419, 1750, 2914, 3825, 4798, 5514, 6338, 7949, 419, 1750, 2781, 3825, 4798, 5635, 7226, 7949, 475, 1508, 2806, 3412, 4872, 6211, 6302, 7806, 120, 1320, 2950, 3352, 5150, 5565, 6348, 7996, 959, 1141, 2381, 3277, 4606, 5515, 7010, 7557, 262, 1306, 2204, 3371, 5175, 5245, 6586, 7895, 283, 1350, 2807, 3913, 4950, 5716, 7056, 7778, 814, 1742, 2656, 3493, 4333, 5506, 6902, 8091, 302, 1561, 2884, 3421, 4943, 5466, 6874, 7611, 1041, 1982, 2784, 3421, 4699, 6167, 6458, 7964, 886, 1728, 2948, 3421, 4350, 6101, 6777, 7253, 886, 1428, 3058, 3852, 4321, 5473, 6692, 7612, 653, 1543, 2725, 3510, 4441, 5622, 6224, 8061, 761, 1997, 2725, 3509, 4539, 5715, 7202, 8230, 1029, 1695, 2248, 3417, 4364, 5722, 6628, 7584, 150, 1550, 3123, 3609, 4916, 5381, 6542, 7837, 643, 1550, 2171, 3329, 4338, 6144, 7038, 7484, 401, 1550, 2710, 3681, 4346, 5584, 6899, 7900, 940, 1831, 2795, 4015, 5127, 5360, 7207, 8258, 401, 1175, 2633, 3803, 4343, 6007, 7222, 7927, 216, 1120, 3109, 3316, 5075, 5824, 7149, 7494, 970, 1869, 2629, 4115, 4359, 5378, 6540, 8126, 970, 1668, 2834, 3870, 4991, 6128, 6402, 8209, 970, 1773, 2900, 4027, 5165, 6222, 7120, 7717, 923, 1830, 2315, 3662, 4816, 6178, 6385, 7882, 643, 2050, 2454, 3376, 5101, 6015, 6501, 8190, 693, 1691, 3130, 3251, 4364, 6034, 6912, 8217, 725, 1151, 3130, 3231, 4429, 5293, 6974, 8048, 508, 1299, 2662, 3366, 5042, 5875, 6969, 7767, 494, 1299, 2559, 3214, 4241, 6006, 6663, 8256, 974, 1299, 2182, 3183, 4439, 5450, 6476, 8013, 1030, 1146, 2896, 3155, 4364, 6017, 6283, 7976, 235, 2050, 3075, 3910, 4455, 6101, 6556, 7676, 956, 1224, 2729, 3710, 5153, 5245, 6630, 8054, 308, 1845, 2505, 3916, 5058, 6007, 7058, 8188, 510, 2073, 2746, 3516, 4276, 6175, 7157, 7764, 935, 1869, 2975, 4011, 5058, 6129, 6515, 7870, 935, 2028, 2781, 4011, 4583, 5661, 6988, 7658, 143, 1684, 2560, 3624, 4742, 5586, 6941, 7594, 555, 1752, 2996, 4071, 5073, 5746, 7100, 7887, 935, 2073, 2806, 3680, 5058, 6131, 7084, 8076, 935, 2017, 2899, 4145, 4423, 5219, 6988, 7311, 488, 1845, 2746, 3893, 4624, 6186, 7124, 7723, 818, 2017, 2746, 3893, 4624, 6195, 7218, 7766, 818, 2017, 2746, 3893, 4624, 6195, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1528, 2914, 3893, 4870, 6139, 6794, 8196, 488, 1528, 2833, 3893, 4624, 6081, 7124, 7766, 915, 1684, 2164, 3825, 4798, 5635, 6794, 8147, 555, 1684, 3064, 3391, 4798, 5550, 6794, 7723, 915, 1147, 2858, 4145, 4583, 6163, 7152, 7865, 555, 1147, 3064, 3391, 4387, 6182, 6612, 7723, 555, 1684, 3021, 3595, 4512, 5635, 7129, 7485, 555, 1684, 3021, 3595, 4512, 5635, 7100, 7715, 4, 2 ]
[ 1, 76, 45, 31, 5, 64, 51, 45, 52, 41, 16, 52, 5, 66, 36, 54, 5, 5, 3, 945, 1528, 3065, 3893, 4704, 6211, 6752, 8147, 488, 2017, 2914, 3990, 4624, 6139, 7226, 8147, 488, 1528, 3110, 4018, 5058, 5832, 7226, 8147, 731, 1939, 2975, 3990, 4849, 5305, 6755, 7852, 1064, 1407, 3094, 3540, 4206, 5907, 6267, 8226, 386, 2069, 2903, 3760, 4446, 5942, 6787, 8069, 1023, 1655, 2649, 4014, 5040, 5782, 6437, 7270, 1036, 2059, 3028, 3521, 4220, 6034, 6807, 8033, 221, 1563, 2487, 3764, 4474, 5301, 6840, 7336, 845, 1561, 2487, 3356, 4532, 6178, 7076, 7365, 981, 2033, 2464, 3171, 5148, 5944, 7062, 7860, 308, 1467, 2346, 3811, 5092, 5639, 6771, 8079, 899, 1851, 2947, 3983, 4588, 5705, 6371, 7811, 256, 1847, 2542, 4089, 5079, 5210, 6716, 8143, 878, 1280, 2424, 3930, 5079, 5838, 7082, 7476, 256, 1562, 2803, 3227, 4598, 5713, 6642, 7707, 552, 1998, 2991, 3645, 4859, 5677, 6584, 7791, 555, 2068, 2833, 3914, 5166, 5514, 6895, 8185, 818, 2017, 3007, 3914, 4704, 5630, 6709, 7766, 555, 1847, 3064, 4145, 4782, 6195, 7132, 7838, 818, 2068, 3095, 3914, 4624, 5241, 7006, 7806, 818, 2017, 3117, 3367, 5080, 6139, 7201, 8147, 818, 1528, 3117, 3367, 5129, 6139, 7239, 7766, 915, 1528, 2914, 3361, 4888, 5630, 6988, 8147, 228, 2106, 2221, 4068, 4580, 5493, 6291, 7706, 654, 1550, 2469, 3518, 4983, 5446, 6486, 7677, 654, 2060, 2953, 3931, 5168, 5844, 6435, 8080, 127, 2127, 2554, 3171, 5135, 5677, 6720, 7906, 127, 2106, 2992, 3394, 4764, 5296, 7160, 8126, 195, 1750, 2880, 3440, 4555, 5514, 6604, 8126, 195, 1851, 2271, 3374, 4916, 5830, 6892, 7815, 195, 1332, 2585, 3857, 4868, 5792, 6895, 7727, 568, 1313, 2971, 4145, 4996, 5514, 6738, 8106, 1056, 1933, 2886, 3993, 4633, 5767, 6575, 8045, 419, 1750, 2669, 3803, 4870, 5515, 6604, 7716, 419, 1648, 2806, 3886, 5135, 5612, 7160, 8164, 419, 1851, 3021, 4145, 4890, 5584, 7069, 7477, 859, 1508, 3133, 4113, 4622, 5630, 6776, 7806, 959, 1906, 3098, 4114, 4918, 5514, 6612, 8261, 392, 1645, 2918, 4096, 4225, 6063, 6680, 8205, 856, 1453, 2863, 3268, 5148, 6088, 7112, 8205, 498, 2118, 2570, 3298, 5183, 6135, 6969, 7671, 538, 1828, 2395, 3669, 5041, 5321, 6917, 8178, 864, 1177, 3137, 3245, 5005, 5598, 6230, 8009, 547, 1480, 3074, 3960, 4763, 6145, 6463, 7481, 620, 2050, 2868, 3276, 4711, 5703, 7002, 7581, 1008, 1889, 3040, 3276, 4807, 5745, 6389, 7605, 335, 1183, 2503, 3283, 4621, 5503, 7109, 7707, 961, 1190, 3092, 4165, 4205, 6149, 6838, 7560, 731, 1351, 2173, 3258, 5175, 5863, 6789, 7683, 391, 2075, 3040, 3991, 5179, 6066, 7227, 8188, 216, 1874, 3040, 3480, 4303, 6149, 6722, 7980, 779, 1992, 3143, 3826, 4675, 5815, 6454, 7706, 684, 1304, 2998, 3886, 4981, 5605, 7114, 7290, 256, 1467, 2326, 3726, 4734, 5573, 7232, 8252, 899, 2024, 3110, 4071, 4398, 5635, 6840, 7677, 789, 1608, 2560, 4113, 4287, 6182, 6988, 8267, 789, 2106, 2957, 4171, 4412, 6085, 6701, 8261, 878, 1452, 2981, 3413, 4611, 6051, 6630, 7806, 901, 2127, 2925, 3932, 4983, 5856, 6607, 7428, 756, 2085, 2791, 3950, 4308, 5705, 7010, 7702, 408, 1723, 2998, 3600, 5053, 6104, 7073, 8079, 1008, 1384, 2137, 3682, 4201, 6062, 7015, 8012, 843, 1645, 2137, 3356, 4621, 5812, 7053, 8224, 864, 1446, 2137, 3599, 4410, 5685, 6262, 7904, 547, 1185, 3073, 3599, 4361, 6011, 6569, 7790, 938, 1513, 2137, 3632, 4354, 5588, 7045, 7521, 1047, 1776, 2832, 3408, 4184, 5588, 6612, 7862, 571, 1992, 2137, 3512, 4348, 5587, 6515, 7291, 678, 1499, 2652, 4125, 4429, 5654, 6612, 7570, 684, 1370, 2258, 3726, 4387, 5910, 7207, 7462, 1099, 1175, 2381, 3945, 5038, 6129, 7077, 8260, 105, 2097, 2925, 3994, 4717, 6137, 7127, 8261, 105, 2098, 3065, 3982, 4512, 5810, 7132, 7962, 225, 1386, 3021, 4026, 4841, 5761, 7111, 7895, 225, 2064, 3018, 3827, 4890, 6195, 6671, 8261, 225, 1386, 2833, 3555, 4762, 5475, 6584, 8185, 757, 1332, 2356, 3298, 4387, 5550, 6790, 7846, 833, 1623, 2936, 4076, 5160, 5663, 6840, 8066, 752, 1510, 2353, 3717, 5183, 5385, 6371, 7279, 893, 1510, 3085, 4153, 4523, 5441, 6967, 8222, 665, 1510, 2901, 4153, 5050, 5496, 6691, 7305, 781, 1758, 2279, 4037, 5057, 5571, 6535, 7770, 803, 1758, 2579, 3282, 4275, 5351, 6632, 7905, 893, 1505, 2455, 3733, 4994, 5565, 6614, 7702, 693, 1692, 2453, 3178, 4827, 6124, 7032, 7822, 814, 1442, 2455, 3895, 4338, 6058, 6854, 7755, 876, 2095, 2378, 4037, 4439, 5288, 6613, 7448, 761, 1758, 2951, 3610, 5041, 5977, 7086, 7650, 803, 1758, 2951, 3548, 4277, 5701, 7128, 8236, 1029, 1628, 2905, 3792, 4451, 5589, 6969, 8058, 1001, 1850, 2905, 3222, 4604, 6101, 6792, 8041, 465, 1290, 2905, 3413, 4389, 5508, 6528, 7986, 888, 1499, 2242, 3326, 4338, 5233, 6915, 8151, 1008, 1354, 2905, 3609, 4338, 5591, 6898, 7386, 1008, 1141, 2662, 3434, 4904, 6171, 6959, 7900, 996, 1730, 3101, 4154, 4575, 5444, 6657, 7604, 876, 1299, 2349, 3711, 4268, 6050, 7241, 7709, 876, 1196, 2716, 4153, 4567, 5226, 6493, 7500, 876, 1250, 2268, 4007, 4833, 5550, 6493, 7779, 1057, 1865, 2268, 3155, 4597, 5631, 6348, 7779, 103, 1499, 2716, 3171, 4553, 5444, 6830, 7973, 390, 1189, 2794, 3540, 4745, 5843, 6306, 7476, 1090, 1141, 2248, 3973, 4385, 5210, 7168, 7865, 1025, 2125, 3033, 4027, 4764, 6175, 7120, 7336, 1025, 1858, 2591, 3540, 4536, 5981, 6593, 8093, 1025, 1141, 2591, 3917, 5088, 5832, 7017, 7794, 1025, 1139, 3080, 3300, 4985, 5493, 6265, 8260, 1025, 2000, 2429, 3975, 4368, 5641, 6884, 7367, 643, 1708, 2868, 3922, 4918, 6206, 7152, 7870, 363, 1496, 2956, 3994, 4364, 5935, 6815, 7765, 319, 1653, 2559, 4133, 4285, 6080, 6842, 7900, 942, 2111, 2232, 3596, 4476, 5745, 6486, 7999, 308, 1809, 2669, 3962, 4478, 6156, 7127, 7547, 555, 1620, 2238, 4174, 4558, 5968, 6677, 7559, 1099, 1620, 3135, 3945, 4822, 5385, 6996, 8267, 1099, 1620, 2957, 3886, 4822, 6129, 7090, 7876, 818, 1467, 2936, 4145, 4822, 6129, 7132, 7732, 186, 1467, 2949, 4170, 4704, 6186, 6794, 7766, 4, 2 ]
[ 1, 45, 66, 5, 76, 11, 78, 5, 64, 33, 75, 63, 16, 52, 5, 30, 39, 78, 5, 28, 44, 41, 20, 63, 5, 26, 5, 43, 14, 30, 5, 31, 16, 5, 51, 16, 53, 62, 52, 48, 66, 5, 64, 66, 20, 63, 47, 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, 2914, 3893, 4798, 5635, 7124, 7766, 915, 1648, 2164, 4145, 4798, 6186, 7124, 8196, 779, 1403, 2187, 3931, 4884, 6135, 6724, 7312, 480, 1842, 3147, 3340, 5165, 5750, 6787, 8251, 458, 1958, 2695, 4030, 5142, 5453, 6544, 7656, 304, 1286, 2261, 3977, 4470, 5865, 7173, 7574, 512, 1736, 2167, 3873, 4513, 5942, 6589, 7570, 684, 2046, 3095, 3908, 4278, 5534, 6806, 7657, 779, 1871, 2984, 4174, 4856, 5241, 7129, 8107, 571, 1672, 2996, 4028, 4501, 5687, 7149, 8210, 216, 1984, 3095, 4174, 4589, 5767, 6630, 7658, 831, 1665, 2792, 3513, 5165, 6051, 6467, 8076, 1003, 1158, 2971, 3556, 4314, 5558, 7218, 8236, 1084, 1582, 2508, 3781, 4692, 5366, 7152, 7580, 1040, 1865, 2719, 3751, 4273, 5761, 6707, 7611, 397, 1299, 2808, 3478, 4265, 6080, 6540, 8077, 225, 2060, 2490, 3861, 4953, 5235, 7095, 7361, 654, 1550, 2589, 3413, 4344, 5960, 6581, 7687, 654, 1876, 2808, 3394, 4376, 5837, 7120, 7985, 195, 1719, 2885, 3595, 5101, 5908, 6371, 7926, 654, 2111, 2221, 3364, 4877, 5650, 6790, 7816, 195, 1645, 2946, 3770, 4867, 6065, 6443, 7744, 654, 1876, 2904, 3550, 4870, 5840, 6486, 7429, 518, 1286, 2287, 3376, 4638, 5580, 6515, 7664, 617, 1756, 2959, 4161, 4836, 6067, 6998, 7753, 778, 1349, 2474, 3648, 4981, 6177, 6892, 7799, 1017, 1719, 2334, 3771, 4432, 5367, 6659, 7799, 404, 1510, 2306, 4081, 4582, 5339, 6959, 8241, 827, 2094, 2306, 3874, 4641, 5584, 6800, 7350, 641, 1937, 2552, 3752, 4372, 5603, 6958, 7915, 1047, 1512, 3089, 3994, 4285, 6067, 6366, 7927, 779, 1750, 3108, 4145, 4287, 5910, 7090, 8248, 959, 1705, 2238, 3866, 5157, 5929, 6776, 7962, 304, 2111, 2679, 4085, 5183, 5419, 7112, 7906, 1047, 2069, 2258, 3933, 4781, 6182, 6339, 7898, 641, 1405, 2518, 4150, 4368, 5767, 7087, 7532, 265, 1512, 2485, 4077, 4581, 5366, 6977, 7625, 736, 1807, 2517, 3928, 4742, 5981, 6885, 7400, 123, 1582, 2367, 3552, 5180, 5213, 6765, 7298, 344, 1955, 2536, 3785, 4518, 5884, 6881, 7808, 992, 1409, 2995, 3425, 4316, 5719, 6846, 7816, 992, 1199, 3060, 3300, 4693, 5247, 6975, 7809, 1016, 1199, 3063, 4138, 4248, 5247, 6849, 7558, 831, 1571, 2925, 4147, 4387, 5588, 6792, 7808, 512, 2091, 2746, 3540, 4681, 5767, 7111, 8041, 804, 2001, 2746, 3388, 5073, 5796, 6589, 8237, 804, 2094, 3143, 3866, 4334, 5942, 7207, 7992, 882, 1817, 2610, 4125, 5160, 5221, 7001, 7906, 962, 1363, 2725, 3992, 4192, 5957, 6882, 7793, 538, 1695, 2710, 4030, 4887, 6194, 6562, 7398, 989, 1286, 2951, 3448, 4365, 5827, 6345, 7371, 1004, 1938, 2937, 3421, 4708, 5971, 7135, 8268, 314, 1985, 2547, 4037, 4539, 6117, 7050, 7934, 1023, 1806, 2655, 3708, 4943, 5289, 6267, 7366, 495, 1721, 2506, 4007, 5031, 5709, 6885, 7384, 986, 1742, 2751, 4080, 4609, 5601, 6954, 8150, 465, 1808, 2751, 3560, 4941, 5656, 6954, 8057, 691, 1706, 2801, 3222, 4259, 5533, 6348, 8242, 807, 1649, 2346, 3258, 4400, 6122, 6634, 7918, 545, 1942, 3029, 3669, 4934, 5997, 6235, 8012, 487, 2114, 2348, 3413, 4604, 6179, 6280, 8114, 923, 1397, 2750, 3171, 4371, 5218, 6645, 7943, 986, 1832, 2396, 3245, 4878, 5802, 6728, 7869, 317, 1494, 2565, 3792, 4231, 5478, 6909, 7480, 1014, 1652, 2736, 3786, 4923, 5581, 6614, 7618, 1014, 1434, 3048, 4096, 4923, 5736, 6991, 7367, 959, 1923, 2797, 3726, 4494, 5935, 7197, 8036, 956, 2097, 3135, 3973, 4681, 6211, 7023, 7782, 510, 1467, 3095, 4143, 4993, 5573, 6809, 8085, 304, 1534, 2803, 3916, 5053, 5210, 7017, 8236, 761, 1797, 2188, 3161, 4756, 6166, 6898, 8120, 1023, 1283, 2553, 3190, 4460, 5728, 6491, 8069, 363, 1586, 2147, 3484, 4678, 5512, 7204, 8187, 465, 2036, 2918, 3999, 5090, 6130, 6849, 7698, 403, 1644, 2542, 3521, 5135, 5478, 6526, 7586, 256, 2106, 2895, 3364, 4536, 5514, 6625, 7751, 518, 1635, 2904, 3586, 4536, 5548, 7125, 7631, 901, 1596, 2905, 3535, 5053, 6142, 7201, 7698, 901, 1496, 3021, 3586, 4630, 5650, 6296, 8086, 489, 1386, 2473, 3586, 4762, 5811, 6615, 7892, 153, 2088, 2473, 3911, 5143, 5778, 6477, 8026, 450, 1324, 2582, 3253, 5026, 5500, 6809, 7264, 1024, 1222, 3090, 4017, 4325, 5944, 6487, 8203, 339, 2081, 3090, 4147, 4659, 5511, 6229, 7810, 917, 1167, 3090, 4127, 4811, 6138, 6533, 8232, 123, 1670, 2425, 3960, 4564, 5872, 6953, 7574, 736, 1831, 2966, 4022, 4497, 5629, 6783, 8017, 123, 1782, 2805, 3618, 4222, 5983, 6493, 8087, 83, 1924, 2262, 3501, 4819, 5524, 6703, 7869, 993, 1628, 2654, 3544, 4649, 5313, 6995, 7793, 1029, 1517, 2771, 3486, 4892, 5318, 7154, 7469, 936, 1151, 2856, 3748, 4927, 5790, 6969, 7586, 536, 2034, 2896, 4153, 4804, 5891, 6958, 7930, 835, 1958, 2872, 3578, 4600, 5512, 6434, 8061, 835, 1496, 2973, 3214, 5023, 6220, 7072, 8032, 666, 1346, 2756, 3672, 4742, 5212, 6568, 8033, 673, 1140, 3066, 3603, 5055, 5479, 6919, 8007, 759, 1719, 2628, 3936, 4456, 5259, 6376, 8143, 1052, 1162, 3033, 3720, 4893, 6116, 6664, 7483, 319, 2099, 3041, 3552, 4321, 6061, 6913, 7269, 840, 1971, 2751, 3220, 4919, 5973, 6806, 8258, 493, 2036, 2464, 4013, 4614, 5433, 6337, 8044, 492, 1703, 2954, 4007, 4903, 5988, 6453, 7304, 113, 1349, 2720, 3839, 4709, 5497, 6762, 8241, 913, 1821, 2137, 3616, 4918, 5323, 6887, 8193, 684, 1737, 2902, 3602, 4931, 6129, 7023, 7768, 1056, 2111, 3140, 3973, 4856, 6025, 7152, 8267, 984, 1821, 3110, 4171, 5007, 5968, 6588, 7976, 355, 1534, 2398, 3815, 5141, 5366, 6871, 8080, 645, 1614, 2926, 3540, 4489, 5696, 6908, 7948, 1090, 1421, 2261, 4159, 4589, 5978, 6996, 7962, 1022, 1773, 2944, 3931, 4437, 6181, 7090, 7776, 984, 1175, 2424, 3795, 4276, 5612, 6630, 8054, 186, 2065, 3110, 4171, 4782, 5705, 7201, 8093, 186, 1620, 2164, 3891, 4624, 6186, 7077, 8237, 935, 1622, 3008, 3886, 5165, 5241, 7218, 8083, 293, 1730, 2728, 4005, 5035, 6118, 6265, 7348, 91, 1198, 2596, 3159, 5056, 5859, 6361, 8027, 308, 1173, 3053, 4018, 4912, 5730, 6566, 8066, 1033, 2035, 2492, 3175, 4691, 5259, 6996, 8054, 104, 1669, 2436, 4081, 5195, 6220, 6953, 8009, 1025, 1244, 3003, 3788, 5098, 5485, 6740, 7843, 610, 1238, 2396, 3771, 4972, 5378, 7004, 7421, 887, 1978, 2610, 4115, 4212, 6163, 6614, 8195, 663, 1845, 2736, 3873, 4630, 5765, 6668, 7631, 427, 1747, 2762, 3929, 5159, 6205, 7157, 7485, 956, 2000, 2730, 3206, 4980, 6129, 7111, 8179, 859, 1968, 2709, 3564, 5088, 5210, 6348, 7764, 541, 1633, 2869, 4151, 4863, 5641, 6430, 8086, 757, 1503, 3139, 3317, 4696, 5286, 6553, 8036, 373, 1971, 2473, 4098, 4834, 5456, 6413, 7660, 887, 1989, 2544, 4028, 4555, 5906, 7129, 8126, 536, 1640, 2750, 3741, 4914, 5767, 6533, 7831, 103, 1808, 2927, 4037, 5042, 5512, 6773, 8210, 103, 1671, 2355, 3436, 5018, 6135, 6959, 7442, 103, 1700, 2502, 3424, 4641, 6119, 6668, 8117, 103, 1350, 2556, 3870, 4751, 5840, 6393, 8117, 103, 1881, 2515, 3838, 5138, 5968, 6776, 7538, 510, 1218, 2989, 4113, 5165, 5677, 6762, 8179, 419, 1992, 2803, 4011, 4387, 5438, 7220, 8093, 654, 1828, 2918, 3866, 4201, 5548, 6879, 7865, 195, 1750, 2875, 4078, 4780, 5210, 6607, 8126, 518, 1905, 3004, 4078, 5138, 5656, 7007, 7530, 195, 1286, 3133, 3356, 4644, 5957, 7103, 7732, 195, 1652, 2221, 3599, 4834, 5689, 7114, 7810, 654, 1140, 2282, 3798, 4376, 6160, 7017, 8164, 240, 1756, 2970, 4145, 4863, 5514, 7201, 7524, 789, 1853, 2208, 4125, 4459, 6117, 7069, 7865, 915, 1756, 2473, 3803, 5160, 5534, 6579, 8237, 419, 2078, 2654, 4113, 5159, 5635, 6889, 8236, 256, 1440, 3065, 3838, 4716, 5678, 6515, 7641, 225, 1826, 2560, 4171, 4780, 6149, 7152, 7476, 105, 1283, 2860, 4153, 5160, 6211, 7100, 8179, 223, 1510, 2855, 3660, 5012, 5968, 6494, 7291, 784, 1510, 3085, 3578, 4931, 5203, 6614, 7997, 840, 1865, 2389, 3271, 4415, 6153, 6719, 7616, 1057, 1213, 3149, 3751, 5196, 5447, 7112, 7928, 826, 1582, 3056, 3590, 4195, 5596, 6458, 7531, 826, 1478, 3015, 3999, 4734, 5500, 6393, 7868, 1008, 1499, 2189, 3566, 4573, 5654, 7085, 8209, 1016, 1919, 2312, 3176, 4643, 5479, 6243, 7515, 1011, 1146, 2678, 3713, 4847, 6205, 6998, 7637, 1016, 1867, 2592, 3428, 4468, 5893, 6350, 7690, 1011, 1362, 2661, 3811, 4228, 6075, 7184, 7403, 1024, 1512, 2218, 3999, 5159, 6020, 6885, 8252, 970, 1972, 2608, 3675, 4681, 5588, 6892, 8129, 970, 1833, 2878, 3946, 4343, 5671, 7152, 7936, 1011, 1770, 2878, 3811, 4870, 5378, 6852, 7311, 1011, 1736, 3144, 3964, 4930, 6067, 6563, 7716, 981, 1453, 2695, 3304, 4191, 5578, 6289, 7958, 913, 1758, 2969, 3917, 4607, 5696, 6889, 7415, 692, 1653, 2260, 4126, 4795, 5259, 6660, 7803, 103, 2055, 3003, 4067, 5146, 5767, 7222, 7911, 1084, 1286, 2556, 3581, 5143, 6002, 6945, 8215, 1090, 1684, 2232, 3973, 4356, 5757, 6978, 8120, 103, 1399, 2700, 3413, 4455, 5648, 7042, 7293, 610, 1561, 2899, 3240, 4476, 5292, 7237, 7379, 1081, 1561, 2796, 3175, 4186, 5292, 7223, 7510, 1051, 1782, 2396, 3501, 4489, 6087, 6634, 7690, 684, 1998, 3021, 3827, 5106, 6175, 6575, 8078, 1099, 1998, 3021, 4011, 4704, 5241, 7006, 7631, 818, 1998, 3021, 3990, 5080, 5241, 6589, 7723, 488, 1998, 3008, 4174, 4624, 6051, 6979, 7766, 818, 2017, 3135, 3893, 4624, 6129, 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, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 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, 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, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]
[ 1, 52, 23, 30, 35, 5, 31, 14, 54, 5, 31, 16, 5, 17, 31, 35, 78, 5, 5, 3, 945, 1528, 2806, 4174, 4704, 5586, 6515, 8147, 142, 2017, 2914, 3825, 4704, 6186, 7226, 8147, 610, 1687, 3006, 3226, 4512, 6008, 6771, 8135, 887, 1454, 2536, 3909, 4900, 5598, 6618, 7439, 850, 1503, 2705, 3754, 4877, 5288, 7150, 7675, 535, 1183, 2265, 3249, 4910, 5914, 6870, 7466, 774, 1183, 2536, 3659, 4547, 5608, 7019, 7820, 607, 1183, 2376, 4016, 4340, 5372, 6994, 8219, 1034, 1814, 2604, 3537, 4678, 6021, 6659, 7983, 819, 1129, 2273, 3996, 5170, 5513, 6818, 7567, 327, 1537, 3040, 3433, 4907, 5862, 6999, 7402, 775, 1131, 2386, 3332, 4674, 6219, 6937, 8102, 810, 1131, 2757, 3332, 4887, 5293, 6922, 8235, 179, 1183, 2635, 3366, 4290, 5411, 7186, 7972, 835, 1503, 2868, 3366, 4731, 5781, 6890, 8035, 508, 1356, 2869, 3901, 5086, 5397, 6691, 7729, 728, 1199, 3070, 4044, 4590, 6101, 6879, 7599, 150, 1672, 2163, 3169, 4413, 5783, 7053, 7779, 1029, 2009, 2671, 3273, 4671, 6135, 7185, 7402, 271, 1826, 2728, 3276, 4568, 5977, 7086, 7539, 403, 1499, 2474, 3416, 4905, 5440, 7022, 7389, 1084, 2125, 2188, 4066, 4904, 5802, 6478, 8204, 880, 1139, 2798, 3464, 4601, 5379, 6754, 8104, 1057, 1455, 2561, 3623, 4382, 5891, 6476, 7383, 862, 1171, 2595, 3792, 4562, 5664, 7018, 8255, 1038, 1350, 2591, 4153, 4855, 5375, 6426, 7551, 1084, 1545, 2636, 3660, 4699, 6086, 6965, 8253, 1005, 1354, 2905, 3514, 5164, 6086, 6388, 7535, 827, 2095, 2494, 3771, 4607, 5529, 7086, 7419, 827, 1244, 2396, 3177, 5103, 5847, 6619, 7783, 693, 1865, 2564, 3473, 4575, 5222, 7142, 7756, 827, 1156, 2741, 3660, 5127, 5470, 6600, 7378, 1038, 1649, 2741, 3717, 5088, 5341, 7118, 8124, 113, 1770, 3029, 3986, 4486, 5933, 7041, 7902, 1024, 1581, 2491, 3430, 4364, 5843, 6818, 7287, 1090, 1655, 2797, 3623, 4555, 5745, 6226, 8104, 571, 2046, 2429, 3987, 4691, 5398, 6847, 7908, 776, 1560, 2868, 4006, 4737, 5837, 6410, 7887, 150, 2059, 2697, 3916, 4691, 5590, 6558, 7476, 249, 1655, 2346, 3610, 4483, 6118, 6335, 7656, 249, 2059, 2346, 3356, 4763, 6118, 6773, 7671, 1004, 2059, 2346, 3544, 4604, 5313, 7083, 8035, 1023, 1653, 3066, 3245, 4279, 5393, 6663, 7442, 363, 1655, 2553, 3394, 4629, 6052, 6830, 7881, 887, 1655, 2727, 3623, 4804, 5532, 7204, 7683, 150, 2053, 2346, 3870, 4635, 5496, 6550, 7815, 443, 1141, 2314, 3770, 4501, 6002, 6432, 8150, 443, 1141, 2346, 3676, 4321, 5627, 6545, 7467, 443, 1655, 2703, 3417, 4321, 5840, 6793, 7318, 1040, 1692, 2436, 3770, 4496, 5436, 6648, 7997, 1004, 1283, 2658, 4084, 4305, 6034, 6585, 7479, 399, 1708, 2817, 4084, 4419, 6034, 6812, 7393, 737, 1550, 2529, 3351, 4539, 6003, 7021, 7687, 807, 2034, 3116, 3300, 4687, 5697, 6480, 7538, 807, 2059, 2426, 3963, 4539, 5665, 6922, 7812, 807, 1734, 2222, 3394, 4459, 5810, 6601, 7490, 807, 1635, 2355, 3613, 4717, 5764, 6851, 7673, 807, 1635, 3116, 3764, 5163, 5706, 6684, 7675, 1019, 1494, 2923, 3764, 4539, 5651, 6291, 7811, 1019, 1283, 2835, 3268, 5101, 6059, 6442, 8117, 1040, 2059, 2873, 3394, 4218, 5408, 6282, 7683, 693, 2065, 2254, 3394, 5124, 6141, 6651, 7951, 192, 2059, 2265, 4137, 4604, 5620, 7052, 7921, 192, 1397, 2540, 3496, 4319, 5656, 7002, 7545, 371, 1603, 2748, 4158, 4205, 5325, 6778, 7921, 371, 2036, 2868, 3937, 4929, 5390, 6442, 7834, 1051, 1218, 2163, 3456, 4800, 5260, 6256, 7476, 779, 1851, 3038, 3559, 4589, 6026, 7014, 7481, 171, 1202, 2652, 3639, 4426, 6183, 6889, 7397, 440, 1468, 2729, 3201, 5085, 6002, 6884, 7336, 913, 1845, 2440, 3895, 4985, 5671, 6551, 7880, 692, 2059, 2751, 3997, 5143, 6144, 7242, 7396, 693, 2059, 2741, 3514, 4489, 5929, 6740, 7505, 693, 1510, 2740, 4133, 5134, 6118, 6883, 7522, 827, 1538, 2378, 3421, 5056, 6132, 6373, 8253, 265, 1758, 2636, 3252, 4804, 6052, 6740, 7606, 827, 2095, 2905, 3687, 4474, 6043, 6565, 7974, 827, 1557, 2402, 3687, 4321, 5550, 6677, 7571, 981, 1273, 2905, 4025, 4757, 5400, 6941, 8163, 693, 1669, 2378, 4009, 4661, 5672, 6864, 8060, 407, 1496, 2796, 3605, 4949, 5208, 6800, 7299, 981, 1884, 2530, 3591, 4855, 5398, 6563, 7568, 662, 1108, 2741, 3788, 4364, 5839, 6670, 7655, 662, 1108, 2741, 3788, 5096, 5578, 6592, 7411, 844, 2036, 2751, 3605, 4305, 5792, 7163, 8102, 981, 1524, 2487, 3878, 4925, 5428, 7102, 7652, 678, 2111, 2156, 3608, 4474, 5443, 6256, 7367, 789, 1529, 2775, 4124, 4289, 5560, 6529, 7827, 225, 1286, 2746, 3904, 5190, 5580, 7152, 8133, 225, 1750, 2833, 3245, 4716, 6110, 7152, 7804, 228, 2111, 2346, 3646, 4329, 6034, 6607, 8102, 518, 2118, 2529, 4057, 4844, 5689, 6338, 8188, 228, 1623, 3068, 3425, 4329, 6110, 6612, 8261, 256, 1750, 2554, 3550, 4423, 5385, 6889, 8262, 543, 2111, 2833, 3914, 4622, 6097, 6772, 7303, 186, 2111, 3064, 3470, 4583, 5515, 6889, 7303, 488, 2017, 2806, 4071, 4624, 5677, 6604, 7715, 488, 1528, 3065, 3825, 4624, 5515, 7077, 8196, 488, 1528, 3065, 3825, 4398, 5241, 6794, 8196, 488, 1528, 2164, 3893, 4624, 5241, 7124, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 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, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6677, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6677, 8080, 142, 1528, 2914, 3893, 4512, 6186, 6794, 8196, 488, 1648, 2970, 3893, 4798, 6139, 7152, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6677, 8223, 4, 2 ]
[ 1, 43, 48, 5, 76, 11, 78, 5, 66, 17, 53, 28, 16, 52, 30, 5, 43, 33, 30, 52, 21, 55, 5, 44, 54, 66, 73, 5, 31, 16, 5, 30, 17, 64, 66, 5, 5, 3, 555, 2013, 2839, 3391, 4398, 6211, 7098, 7563, 915, 1876, 2970, 3827, 4822, 5548, 7226, 7716, 555, 1147, 3064, 3893, 4622, 5534, 7129, 7949, 142, 1528, 3117, 3367, 4798, 5241, 7077, 8223, 555, 1844, 3065, 4145, 5166, 5694, 6709, 7949, 756, 2008, 2980, 3776, 4619, 5677, 7154, 7948, 848, 1640, 2366, 4003, 4996, 5737, 6601, 7951, 969, 1637, 2543, 3986, 4576, 5615, 6768, 7337, 323, 1550, 2638, 3605, 4920, 5863, 6760, 7933, 499, 1561, 2945, 3850, 4609, 5884, 6313, 7313, 1006, 1570, 2258, 4175, 4667, 6003, 6623, 7740, 716, 1759, 2222, 3928, 4654, 5424, 6291, 8061, 1047, 1370, 2515, 3564, 4948, 6149, 6542, 7890, 948, 1847, 2698, 3582, 5054, 5475, 6525, 7264, 1067, 1838, 2167, 3915, 4580, 5866, 6619, 7903, 386, 1174, 2207, 3234, 5198, 5514, 6921, 7685, 1023, 1318, 2875, 3751, 4475, 5507, 7007, 8109, 266, 1740, 2940, 3751, 4322, 6034, 6254, 7954, 314, 1141, 2678, 3751, 4301, 5587, 6403, 7873, 737, 1865, 3085, 3798, 5124, 5831, 6315, 7341, 868, 1828, 2933, 3708, 4321, 6055, 6826, 7664, 576, 1735, 2688, 3416, 4236, 6167, 6476, 7579, 225, 2002, 2791, 4070, 5042, 5719, 6486, 7384, 225, 2061, 2841, 3754, 4353, 5360, 6790, 7870, 225, 1424, 2250, 4111, 4298, 5689, 6918, 7727, 228, 1525, 2729, 4015, 5079, 5838, 6889, 7957, 228, 1851, 3007, 3891, 4859, 6175, 6338, 8130, 789, 2078, 2473, 3803, 4859, 5981, 7006, 7509, 789, 2078, 3064, 3394, 4877, 5438, 6996, 8185, 419, 2078, 2473, 3914, 5080, 5832, 7201, 7865, 419, 1528, 2991, 4113, 4859, 5514, 6515, 8260, 240, 1488, 2473, 3550, 4398, 5981, 6604, 8185, 276, 2098, 2137, 3838, 5167, 5811, 6604, 8076, 874, 1974, 2839, 4113, 4764, 5436, 6877, 8189, 1020, 1382, 2587, 3426, 4470, 6163, 6627, 8132, 355, 1490, 2293, 3907, 4538, 5677, 6789, 7574, 759, 1346, 2529, 4006, 4470, 5804, 6671, 7612, 716, 2059, 3150, 3970, 4531, 5581, 7178, 7462, 805, 1503, 2195, 3300, 4357, 5845, 7027, 7983, 805, 1338, 2812, 3587, 4546, 5477, 6798, 7255, 391, 1325, 2885, 4083, 4672, 5719, 7189, 7571, 937, 2090, 2737, 3396, 4771, 6026, 6997, 7586, 937, 1281, 2503, 3314, 5123, 5740, 6579, 7383, 391, 1928, 2250, 3830, 4282, 6004, 7214, 7776, 391, 1522, 2564, 3420, 4856, 5663, 6540, 8267, 767, 1477, 2250, 3256, 5124, 5500, 7000, 8245, 408, 1600, 2680, 3358, 4595, 6006, 6402, 8245, 335, 1236, 2250, 3736, 4752, 6163, 6470, 7936, 731, 1508, 2506, 3502, 4374, 5515, 6349, 7290, 767, 1755, 2189, 4103, 4843, 5705, 6548, 7677, 684, 1152, 3150, 3391, 4374, 5586, 6755, 7602, 571, 1318, 3144, 3175, 5044, 5904, 6820, 7806, 611, 1199, 2363, 3643, 4764, 5436, 7047, 7631, 1036, 1469, 2719, 3496, 4302, 5894, 6700, 7593, 332, 1740, 2628, 4128, 4706, 5288, 6797, 7502, 1019, 1469, 2222, 3432, 4485, 5608, 6565, 7880, 344, 1469, 2697, 3333, 4874, 5803, 7126, 7675, 876, 1469, 2260, 3623, 4994, 5447, 7114, 7954, 344, 1469, 2940, 3623, 4794, 5644, 7060, 7375, 864, 1129, 2546, 3685, 4635, 5608, 6923, 7527, 547, 1469, 2503, 3623, 4327, 6144, 6731, 7386, 864, 1440, 2934, 3561, 4539, 5573, 6466, 7779, 1016, 1440, 2940, 3276, 4857, 5387, 7140, 7957, 537, 1440, 2179, 3374, 4651, 5976, 6700, 7644, 304, 1585, 2541, 3967, 4334, 5205, 6734, 7644, 959, 1833, 3108, 3710, 4653, 5924, 6354, 7498, 684, 1370, 2728, 3916, 5135, 6087, 7120, 8060, 684, 1407, 2820, 4011, 5080, 5911, 7119, 8185, 952, 1601, 2829, 3512, 5054, 6032, 6235, 7652, 891, 1726, 2775, 3533, 4179, 5332, 7119, 7684, 844, 1938, 2669, 3812, 4531, 5325, 6581, 7778, 980, 1684, 2554, 3681, 4729, 5840, 7084, 7904, 757, 1939, 2754, 4095, 4861, 5689, 6750, 7476, 844, 1304, 2981, 4153, 4284, 5655, 6443, 7778, 319, 1112, 3043, 3393, 5115, 6103, 6891, 7838, 189, 1812, 2432, 3624, 4752, 5766, 6521, 8167, 739, 1651, 2543, 3925, 4724, 5626, 6663, 8036, 323, 1504, 2731, 3270, 5151, 5695, 6443, 7614, 969, 1633, 2304, 3888, 4510, 5417, 6811, 7263, 1036, 1564, 2633, 3486, 4486, 5594, 6831, 7828, 938, 1974, 3097, 3323, 4510, 5594, 6919, 7480, 914, 1564, 3109, 3671, 4890, 5655, 7012, 8107, 684, 1564, 2783, 3886, 4670, 5844, 6979, 7870, 308, 1147, 2924, 3819, 4444, 6175, 6642, 8107, 427, 1850, 3021, 4011, 5095, 6128, 6810, 8209, 1056, 1869, 3095, 3886, 5183, 5687, 7084, 7557, 1056, 1773, 3110, 4135, 4700, 5694, 7218, 8195, 397, 1773, 2886, 3975, 4589, 5219, 6830, 8227, 643, 1773, 2369, 3771, 5139, 6218, 7098, 8209, 887, 1850, 2163, 4153, 4691, 6063, 6599, 7527, 887, 1509, 2173, 4093, 4839, 5835, 6458, 7572, 150, 2053, 2173, 3193, 5073, 5812, 7072, 7528, 150, 1571, 3040, 3385, 5073, 5905, 7147, 7453, 150, 1499, 3151, 3420, 4273, 6065, 7095, 7565, 504, 2009, 2296, 3509, 4343, 5205, 7172, 7490, 271, 2061, 2721, 3727, 4564, 6167, 6224, 8247, 150, 2050, 2728, 3361, 4643, 5564, 6542, 7690, 862, 1469, 3085, 4095, 4361, 5707, 7053, 8017, 546, 1469, 2937, 3179, 5151, 6038, 7021, 8251, 728, 1658, 2491, 3382, 4748, 5884, 6396, 7271, 339, 1955, 2937, 3239, 4678, 5500, 6438, 7926, 368, 1469, 2428, 4087, 4244, 5405, 6766, 7858, 494, 1356, 2698, 3239, 4559, 5819, 6813, 7672, 774, 1278, 2721, 3713, 4597, 5496, 6711, 7704, 1063, 2102, 2173, 3700, 5174, 5999, 6612, 8232, 1030, 1669, 2972, 4034, 5105, 5550, 6619, 7997, 1024, 1974, 2304, 4005, 4567, 5213, 7174, 7497, 1024, 1974, 2353, 3477, 4176, 5321, 7125, 7843, 1024, 1284, 2541, 3549, 4809, 6033, 7237, 7577, 1024, 1947, 2885, 3243, 4426, 5373, 6723, 7735, 1024, 1407, 3141, 3748, 4717, 5204, 6936, 7535, 731, 1141, 2945, 3376, 5169, 5730, 6373, 7488, 216, 2091, 2638, 3472, 4993, 5646, 6540, 8267, 731, 1858, 2945, 3380, 4651, 5908, 6536, 8092, 223, 1834, 2991, 4103, 4444, 5413, 6265, 7582, 986, 1563, 2655, 3327, 4351, 5613, 6398, 7878, 807, 1858, 2629, 3695, 4800, 5781, 7222, 8087, 1009, 1550, 2242, 3430, 4535, 5781, 7001, 7428, 1036, 1948, 2555, 3329, 4419, 5435, 6388, 8085, 728, 1141, 2268, 3915, 4982, 5224, 6869, 8034, 1036, 1755, 2142, 4015, 4514, 5257, 6302, 8049, 1036, 1637, 2142, 3154, 4459, 5993, 7114, 8110, 731, 1545, 2282, 3486, 4644, 5503, 6602, 8209, 767, 1770, 2924, 3376, 5161, 5413, 6677, 8220, 731, 1770, 2740, 3811, 4586, 5687, 6393, 8195, 216, 1992, 2462, 3922, 4641, 5761, 7059, 7336, 401, 1402, 2960, 4096, 4912, 5534, 6668, 8099, 401, 1635, 2794, 3662, 4573, 5756, 6298, 7643, 512, 1998, 2454, 4026, 4337, 5573, 6908, 7959, 865, 1388, 2490, 3662, 5086, 5631, 6614, 8232, 271, 1363, 2675, 3376, 4523, 6142, 7000, 7860, 728, 1826, 2865, 3217, 4444, 5973, 6710, 7964, 1036, 1828, 2274, 3521, 5036, 5368, 7082, 7791, 692, 1912, 2137, 4103, 5020, 6159, 6859, 7561, 1047, 1157, 2137, 3913, 4542, 6151, 7017, 7966, 571, 1855, 2321, 3777, 4191, 5744, 6267, 7393, 401, 1280, 3150, 3376, 5165, 5219, 7002, 8044, 304, 1833, 2803, 3376, 4912, 5862, 7098, 8266, 756, 1234, 3092, 4166, 5080, 5515, 7232, 8205, 868, 1315, 2139, 3777, 4351, 5642, 6373, 7919, 728, 1199, 2505, 3376, 5010, 5259, 6760, 7900, 538, 1596, 3040, 3679, 5062, 5976, 6973, 7801, 862, 1435, 2961, 3390, 5124, 5205, 7148, 7423, 981, 2066, 3040, 3372, 4364, 5585, 6335, 7939, 308, 1562, 2636, 3945, 4859, 5539, 6302, 7838, 512, 1778, 2960, 3962, 4630, 6025, 7143, 8083, 512, 1499, 3095, 3380, 5058, 6025, 7239, 8237, 804, 1791, 2991, 3540, 5153, 5241, 7239, 8237, 804, 1675, 3064, 3188, 4980, 6175, 7237, 7658, 512, 1945, 2989, 3962, 4822, 6123, 7023, 7723, 512, 2000, 2340, 4108, 4888, 6129, 7201, 8195, 421, 1817, 2847, 3749, 5157, 5474, 6979, 7626, 611, 2102, 2271, 3637, 5106, 5918, 6793, 7728, 349, 1566, 2132, 3426, 4921, 5212, 6978, 7904, 546, 1592, 2410, 3496, 4218, 5668, 7131, 7405, 966, 1594, 2429, 3197, 4539, 5891, 6941, 7645, 428, 1171, 3116, 3582, 4647, 5742, 6564, 7512, 494, 1435, 2146, 3549, 4773, 6077, 6803, 8109, 235, 1489, 2997, 3928, 4375, 6089, 6550, 7405, 776, 1984, 2498, 4115, 4351, 5471, 6622, 7831, 684, 2065, 2946, 4009, 4641, 6111, 6830, 7495, 171, 1945, 2936, 3931, 5088, 5630, 6443, 7305, 1079, 1304, 2771, 3891, 5061, 6175, 6771, 7675, 878, 1557, 2926, 3876, 4329, 5525, 7024, 8117, 225, 1758, 2880, 3550, 4859, 5795, 6895, 8016, 225, 2060, 2746, 3586, 4859, 5296, 7047, 7664, 518, 2002, 2356, 3394, 5075, 5830, 7207, 7509, 225, 2060, 2729, 3803, 5138, 5515, 7006, 7706, 518, 2127, 3133, 4026, 4344, 6179, 7006, 7473, 518, 2002, 3133, 3803, 4622, 5892, 6612, 7715, 228, 2111, 3147, 3966, 4555, 5550, 7152, 7664, 240, 2002, 2970, 4113, 5157, 6046, 7207, 7706, 240, 1756, 2729, 3891, 4859, 5514, 7160, 7838, 789, 1756, 3064, 4113, 4859, 5981, 6607, 8076, 789, 1648, 2880, 3595, 4859, 5981, 7100, 7717, 789, 2098, 3133, 3994, 4762, 5241, 6752, 7716, 240, 2127, 3144, 3364, 4798, 6186, 7207, 7723, 518, 1550, 2860, 3891, 5142, 6163, 7024, 7723, 225, 1264, 2355, 3798, 4716, 5515, 6607, 7906, 183, 2106, 2473, 4145, 5135, 5436, 7152, 8102, 475, 1623, 2833, 3599, 4398, 5241, 6889, 7303, 488, 1684, 2729, 4168, 4681, 5493, 6338, 7677, 860, 2017, 2806, 3825, 5138, 6139, 6794, 8147, 860, 2017, 2914, 3825, 4624, 6139, 6794, 7766, 201, 2017, 2806, 3893, 4624, 6081, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8223, 555, 1750, 3021, 4071, 4387, 6186, 6752, 8223, 859, 1684, 2340, 3374, 4583, 6129, 7207, 8012, 859, 2127, 3147, 4068, 4890, 5550, 6688, 7716, 617, 2127, 2729, 3374, 4549, 5987, 6840, 7715, 105, 2106, 3064, 4006, 4555, 5635, 6717, 8261, 617, 2127, 2370, 4068, 4727, 5548, 6589, 8185, 617, 1750, 3105, 3470, 4214, 5586, 6612, 7907, 617, 2013, 2659, 3662, 5134, 6101, 6688, 8069, 617, 1332, 2564, 3517, 5007, 5493, 6612, 7494, 4, 2 ]
[ 1, 76, 33, 54, 5, 76, 48, 5, 51, 63, 20, 64, 66, 5, 31, 16, 5, 64, 76, 57, 52, 16, 54, 5, 62, 16, 66, 57, 53, 16, 51, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 3825, 4624, 6139, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3893, 4624, 6186, 7226, 8223, 956, 1648, 2957, 4113, 4980, 5635, 7226, 7782, 318, 1791, 2965, 4130, 4912, 6114, 6458, 7843, 936, 1582, 3066, 4091, 4623, 5344, 6424, 8119, 936, 1918, 2741, 3986, 4739, 6093, 6929, 7772, 936, 1918, 3061, 3635, 4669, 5441, 6888, 8149, 610, 1421, 2678, 3818, 5144, 5762, 6286, 8139, 150, 1255, 2429, 3889, 5085, 5889, 6244, 7878, 887, 1782, 2429, 3472, 4461, 5586, 7090, 7865, 887, 1269, 3038, 3340, 4364, 5586, 6526, 8206, 887, 1831, 2783, 4103, 4930, 6195, 6891, 7887, 887, 1831, 2163, 3955, 5088, 5616, 6820, 7957, 299, 2059, 3038, 3713, 4215, 5478, 6566, 7291, 299, 1655, 2938, 4147, 5175, 6073, 6566, 8189, 462, 2059, 2938, 3452, 4352, 5239, 7043, 8165, 896, 2059, 2314, 3434, 5054, 6001, 6948, 7336, 487, 1125, 2687, 3307, 4346, 5454, 7102, 7862, 487, 1561, 2566, 4147, 4604, 5321, 6403, 7904, 487, 1540, 2566, 3695, 4833, 5483, 6612, 7411, 859, 1581, 2801, 3314, 5150, 6135, 6832, 7965, 956, 1791, 3021, 4108, 5040, 5586, 6918, 7782, 914, 1924, 3021, 4150, 5166, 5730, 6515, 7908, 935, 1791, 2991, 3391, 4681, 5210, 7201, 8066, 935, 1924, 2803, 3300, 4583, 6182, 6709, 7806, 132, 1648, 3008, 3188, 4888, 6008, 6709, 7870, 473, 2061, 2971, 3547, 4923, 5472, 7035, 7458, 473, 1567, 2892, 3631, 5150, 5631, 6849, 7918, 473, 2057, 2554, 4014, 4872, 6214, 6832, 7825, 153, 1833, 2730, 4113, 5080, 5804, 7082, 7720, 153, 1833, 2669, 3169, 4589, 6214, 7167, 7745, 731, 1499, 2793, 4087, 4583, 5899, 6309, 7449, 314, 1324, 3001, 3566, 4701, 5632, 7047, 7631, 249, 1294, 2285, 3995, 4845, 5976, 6235, 7604, 123, 1831, 2285, 3247, 4273, 5568, 6477, 7712, 154, 1838, 2661, 4079, 4407, 5414, 6923, 7781, 823, 1838, 2835, 3924, 4620, 5946, 7219, 7491, 875, 1838, 2141, 3713, 4468, 6145, 7231, 7852, 249, 1913, 2294, 3356, 4364, 5470, 6586, 7537, 179, 1296, 2137, 3943, 4965, 5938, 6798, 7442, 888, 1559, 2431, 3943, 4467, 5644, 6526, 7644, 917, 1582, 2835, 3651, 4708, 5574, 6665, 7276, 662, 1548, 3047, 3650, 5100, 5571, 6586, 7693, 776, 1302, 2716, 3318, 5026, 5640, 6467, 7583, 776, 1338, 2689, 4145, 4590, 5646, 7229, 7478, 473, 1467, 2970, 3901, 4305, 6149, 7195, 7674, 878, 1524, 3135, 3183, 4407, 5515, 6604, 7574, 225, 1396, 2340, 3376, 4423, 5548, 7207, 7555, 568, 1396, 2138, 3967, 4622, 6175, 7064, 7427, 518, 1749, 2746, 3680, 4353, 5677, 7160, 8061, 228, 1851, 2554, 4125, 5075, 5892, 6612, 7677, 240, 2002, 2683, 3518, 4867, 5515, 7098, 8022, 789, 2030, 3133, 4152, 5143, 5210, 6810, 7641, 915, 1845, 2278, 3595, 4512, 6205, 7023, 7677, 984, 1961, 2554, 3866, 5080, 5630, 6604, 7865, 789, 2097, 2468, 3361, 5083, 5219, 6589, 7477, 475, 2065, 3133, 4027, 5104, 5962, 6589, 7687, 335, 1340, 2497, 3723, 4513, 6085, 6846, 7887, 247, 1758, 2870, 3271, 4402, 5671, 6949, 8078, 725, 1296, 3091, 4103, 5110, 5317, 6468, 7427, 309, 1119, 2615, 3582, 5182, 5658, 6348, 7670, 225, 1540, 3129, 3891, 4881, 5962, 6837, 7537, 225, 2002, 2559, 4130, 5167, 5844, 7188, 7973, 654, 2002, 2554, 4125, 4782, 5581, 6579, 7717, 225, 1898, 2830, 3891, 4486, 5515, 7152, 7697, 654, 1345, 2370, 3337, 4859, 5218, 7129, 7930, 225, 1750, 2942, 3588, 4423, 5734, 7024, 7707, 225, 1386, 2987, 3359, 5120, 6175, 7120, 7732, 183, 2060, 2942, 4147, 4181, 6149, 7201, 7677, 579, 1490, 2970, 4150, 4580, 5550, 6809, 8185, 153, 2043, 2172, 3702, 5025, 5643, 6781, 7476, 132, 1508, 3038, 3916, 5134, 5963, 6791, 7717, 767, 1919, 2321, 4083, 4737, 5565, 6921, 7263, 840, 1643, 2444, 3529, 4678, 5668, 6429, 7712, 608, 1674, 3037, 4054, 4612, 5477, 6869, 7637, 888, 1594, 2311, 3742, 4760, 5777, 6456, 8041, 314, 1633, 2465, 3778, 4395, 5568, 6403, 7968, 266, 2070, 2997, 4133, 4857, 6104, 6802, 8096, 363, 1469, 2135, 3318, 5124, 5658, 6965, 8039, 266, 1969, 2189, 4128, 4885, 5938, 6521, 7852, 784, 1790, 2452, 3557, 4618, 5643, 6521, 7672, 1101, 1469, 2282, 3610, 4544, 6090, 6930, 7873, 993, 1838, 2452, 3338, 4410, 5380, 6476, 8103, 1029, 2061, 3066, 3868, 4938, 5318, 6586, 8048, 936, 1838, 2520, 3325, 4748, 5570, 7232, 7936, 104, 1674, 2975, 3928, 5097, 5846, 7241, 8125, 1005, 1655, 2232, 3675, 4189, 6195, 6302, 7973, 936, 1831, 3145, 3376, 5022, 5767, 6777, 7548, 936, 1141, 2436, 3615, 4292, 5413, 7232, 7691, 936, 1182, 2436, 3655, 4198, 5907, 6812, 7966, 1025, 1296, 2891, 3430, 5019, 5279, 6921, 8092, 1025, 1296, 2165, 3901, 4954, 6018, 7051, 7256, 1025, 1867, 3033, 3901, 5169, 5788, 6472, 8267, 684, 1566, 2943, 4005, 4780, 5778, 6349, 8016, 555, 1945, 2960, 3516, 4374, 5210, 7152, 7641, 914, 2000, 2947, 4174, 4551, 5705, 7218, 7631, 143, 2084, 2381, 4124, 5143, 5730, 6226, 7788, 878, 1833, 3000, 4094, 5150, 5296, 6614, 8241, 537, 1388, 2793, 4151, 5095, 5435, 6562, 8014, 840, 1797, 2129, 3578, 4556, 6183, 7084, 7578, 876, 1553, 2688, 3375, 4321, 6119, 6778, 8163, 1003, 1299, 2330, 3904, 4483, 6119, 6316, 7682, 1099, 1668, 2903, 3961, 4822, 5963, 6822, 7908, 818, 2041, 2991, 3188, 4980, 6085, 6786, 8209, 935, 2064, 2340, 3886, 5159, 5901, 7162, 8260, 105, 1847, 3135, 3424, 4583, 5350, 7114, 7732, 276, 1468, 3105, 3662, 4541, 5640, 6663, 7677, 334, 1426, 2918, 4092, 4423, 6117, 6948, 7660, 153, 1974, 2560, 4145, 4423, 5228, 7100, 8241, 160, 1324, 2629, 3253, 4340, 5730, 6614, 7781, 249, 1239, 2726, 3822, 4796, 5739, 6958, 7784, 784, 1937, 3085, 4137, 4751, 6116, 7143, 7487, 266, 1582, 2460, 3409, 4246, 5886, 6501, 7592, 314, 1205, 3001, 3727, 4364, 5269, 6999, 7578, 1023, 1271, 2923, 3793, 4751, 6107, 6721, 7773, 443, 1582, 2881, 3997, 4873, 5623, 7053, 7940, 1025, 1675, 3037, 3439, 4487, 5999, 7184, 7549, 1025, 1797, 2792, 4158, 4987, 5526, 7181, 7957, 1025, 1954, 2766, 3671, 4890, 5800, 6592, 7293, 1025, 1685, 2716, 3826, 4942, 5824, 7100, 7387, 535, 1141, 2709, 3873, 5047, 6050, 6307, 7703, 535, 1376, 2440, 3717, 4990, 5835, 7053, 7496, 884, 1653, 2378, 3979, 4279, 5579, 6853, 7593, 936, 1164, 2734, 3895, 5193, 5653, 6625, 7927, 150, 1397, 2548, 3908, 4780, 5728, 7230, 7827, 308, 1791, 2918, 3819, 4185, 6154, 7058, 7673, 914, 1562, 2991, 3983, 4555, 5892, 7017, 8260, 935, 2000, 2996, 3932, 4622, 5705, 6752, 7311, 617, 1108, 2801, 3795, 4374, 5590, 6740, 8262, 899, 2000, 2976, 3771, 5075, 5285, 7232, 8179, 899, 1147, 2926, 4115, 4859, 6103, 6717, 7473, 555, 1147, 2444, 3914, 4297, 5890, 7168, 7563, 488, 1847, 2925, 3827, 5080, 6103, 6794, 8260, 818, 2000, 3064, 3710, 4888, 6182, 6996, 7876, 818, 2017, 2803, 3893, 4630, 5635, 7077, 8237, 818, 2017, 3135, 3982, 4980, 6081, 7239, 7949, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8147, 818, 2017, 2164, 3893, 4782, 6081, 7201, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4798, 6139, 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, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]
[ 1, 16, 54, 23, 54, 64, 66, 5, 31, 16, 5, 42, 36, 52, 5, 5, 3, 83, 1826, 2610, 3193, 4321, 6119, 6832, 7809, 1080, 1557, 2751, 3979, 4927, 5787, 7035, 7836, 1003, 1785, 2915, 3960, 4734, 6130, 6706, 8254, 692, 1828, 2244, 3635, 4364, 5658, 6910, 8048, 970, 2107, 3137, 3394, 4665, 6000, 6414, 8049, 424, 1865, 2401, 3508, 4330, 6114, 6860, 8061, 850, 1182, 3080, 3717, 4650, 5573, 7017, 7800, 826, 1782, 2766, 3233, 5010, 5474, 6777, 8026, 104, 1244, 2797, 3233, 4365, 5843, 6276, 8139, 850, 1708, 2256, 3233, 4529, 6164, 6841, 7613, 399, 1490, 3137, 3421, 5026, 6130, 6710, 7809, 1031, 2036, 3040, 3735, 4205, 6002, 6284, 7580, 313, 1369, 2189, 3313, 5157, 6009, 6998, 8191, 673, 1455, 3019, 3356, 4364, 5858, 6710, 7296, 862, 1334, 3040, 3714, 4873, 5242, 6772, 7576, 1067, 1550, 2607, 4051, 4532, 6059, 7240, 7983, 778, 1477, 2751, 4134, 4195, 5624, 6916, 8233, 778, 2036, 2300, 3332, 4595, 5658, 7240, 7966, 887, 2064, 2389, 3540, 5193, 5496, 6581, 7983, 887, 1402, 2515, 4165, 4422, 5339, 6847, 7882, 887, 1402, 2944, 4165, 5193, 5272, 6540, 7789, 104, 1633, 2128, 3696, 5088, 5202, 6722, 7476, 211, 1685, 2582, 4087, 4813, 5550, 6820, 8188, 211, 1881, 3109, 3427, 5143, 6128, 6702, 8260, 804, 2068, 2803, 4145, 4861, 6222, 7168, 8078, 105, 1304, 2491, 3983, 4740, 5830, 6954, 8080, 225, 1426, 3028, 4166, 4926, 5940, 7197, 7256, 225, 1108, 2721, 3706, 4459, 5981, 6486, 7252, 228, 1199, 2941, 3374, 4764, 5765, 6400, 7887, 256, 1440, 2941, 3770, 4863, 5865, 7006, 7260, 256, 1851, 2554, 4011, 4398, 5385, 6338, 7831, 256, 2065, 2349, 3364, 4764, 5982, 6443, 7716, 256, 2030, 2560, 4166, 4918, 6065, 6900, 7318, 419, 1528, 3135, 4071, 4704, 5550, 7218, 7715, 401, 1756, 3133, 4027, 5104, 6025, 6740, 8179, 160, 1889, 2629, 4005, 4364, 5465, 6642, 7313, 314, 1596, 2868, 3427, 4452, 6143, 6680, 7869, 1023, 2059, 2436, 4130, 5188, 5552, 7158, 7362, 936, 2059, 2559, 3500, 4238, 5575, 6875, 7568, 104, 2059, 2282, 3430, 4748, 5549, 6267, 8092, 308, 2073, 2387, 3908, 4859, 5765, 6566, 7397, 1099, 1620, 2868, 3811, 4925, 5911, 7162, 7485, 804, 1218, 2783, 3982, 4782, 5883, 7010, 7557, 1056, 1139, 2383, 3710, 5166, 5904, 6668, 8076, 288, 1467, 3128, 4145, 5166, 5219, 6979, 7723, 91, 1660, 3092, 3376, 4806, 5978, 6551, 7571, 806, 1773, 2250, 3582, 4691, 6184, 6443, 8069, 113, 1120, 2250, 4021, 5184, 6145, 6262, 7606, 668, 1250, 2564, 3727, 4575, 5557, 6267, 7509, 862, 1990, 2905, 4073, 4530, 5339, 6623, 7805, 1080, 2063, 2440, 3777, 5154, 5782, 6392, 7821, 547, 1141, 2536, 4153, 4804, 5773, 6878, 7341, 1066, 1886, 2432, 4036, 4843, 5782, 6267, 7253, 1080, 1108, 2868, 3655, 4439, 5205, 6826, 8139, 1067, 1141, 2218, 3782, 5110, 5325, 6668, 7839, 913, 1209, 2432, 4073, 4990, 5565, 7072, 8214, 1038, 2057, 2432, 3521, 4237, 5605, 6957, 7248, 888, 1141, 2132, 3877, 4716, 5401, 6480, 7423, 770, 1403, 2142, 3649, 4483, 5404, 6339, 7263, 1067, 1372, 2889, 3472, 4495, 5339, 6391, 7611, 815, 2070, 2938, 3901, 5193, 5470, 6651, 7524, 1080, 1865, 3056, 3278, 5122, 6090, 7232, 7770, 569, 1402, 2491, 3496, 4442, 5204, 7126, 7262, 113, 1199, 2615, 3605, 5110, 5338, 6803, 7355, 1080, 1838, 2762, 3793, 5006, 5640, 6548, 7858, 569, 1669, 3138, 3741, 4274, 5685, 6957, 7930, 981, 1369, 2173, 3314, 4832, 5382, 7227, 7583, 1080, 1426, 2470, 3748, 4364, 6142, 7173, 7544, 508, 1834, 2747, 3239, 4949, 5905, 7136, 7928, 776, 1199, 3092, 3842, 5126, 5605, 6889, 7902, 171, 1925, 2898, 3894, 4818, 5419, 6588, 7480, 484, 1963, 2803, 3715, 4436, 6085, 6775, 7822, 186, 1175, 2340, 3645, 4888, 5963, 7077, 7421, 818, 1175, 2957, 3440, 5061, 6195, 7084, 8147, 935, 2017, 3110, 3188, 4798, 5635, 6794, 7485, 552, 1750, 2833, 3866, 4704, 6195, 6677, 7641, 859, 2106, 2858, 4068, 5106, 5385, 7218, 8093, 757, 1750, 2775, 4125, 4867, 5987, 6752, 7536, 105, 1490, 2918, 3550, 4512, 5219, 7129, 7706, 617, 1684, 2775, 4125, 5120, 5650, 6988, 8266, 617, 2127, 2370, 3680, 5138, 5324, 6688, 7732, 617, 1345, 2775, 3550, 5166, 5767, 6612, 7962, 617, 1750, 2858, 3550, 4870, 5624, 6772, 7264, 617, 1289, 2833, 3891, 4267, 6086, 6515, 7838, 617, 1695, 2959, 4005, 4459, 5372, 7077, 7643, 552, 2127, 2970, 3761, 4329, 6086, 6607, 7823, 4, 2 ]
[ 1, 63, 44, 62, 33, 54, 66, 5, 5, 3, 488, 2017, 3117, 3803, 4704, 6211, 6515, 8147, 216, 1773, 2880, 4114, 4555, 6170, 6608, 7420, 1033, 2001, 3068, 3752, 5165, 5297, 7019, 8111, 1025, 1630, 2432, 3234, 5184, 5599, 6241, 8106, 1035, 2001, 3026, 3957, 4486, 5555, 6419, 8217, 459, 1510, 2798, 3233, 4724, 5727, 6728, 7795, 326, 1586, 2871, 3423, 5043, 5683, 6754, 8151, 559, 2048, 2701, 3831, 4576, 5262, 6965, 8151, 881, 1397, 2927, 3605, 5031, 6044, 7083, 7966, 920, 1397, 2263, 4003, 4636, 6044, 6733, 8243, 1005, 1323, 2748, 4103, 4539, 5263, 7068, 7668, 1097, 1989, 2457, 3190, 4523, 5835, 6719, 7528, 1099, 1467, 3006, 3374, 4980, 5767, 7100, 7421, 510, 1998, 2795, 3914, 5183, 5767, 7084, 8188, 1056, 1280, 3007, 3983, 4512, 6175, 6752, 7939, 427, 1620, 2381, 3710, 4622, 5694, 7218, 8267, 120, 1608, 2429, 3402, 4384, 6033, 6284, 8212, 750, 1388, 2175, 3511, 4215, 6049, 7003, 7437, 897, 1681, 2487, 3788, 4334, 6178, 6485, 7846, 734, 1349, 2927, 3468, 4449, 5935, 6814, 7905, 734, 1879, 2953, 3193, 4455, 5992, 7229, 7497, 557, 1488, 2915, 3467, 4804, 5311, 6789, 8039, 234, 1356, 2379, 3599, 4919, 6172, 6429, 7889, 249, 1361, 2415, 3152, 4612, 5980, 7106, 7765, 632, 1476, 2384, 3651, 4176, 6065, 7001, 8174, 1036, 1438, 2665, 3536, 4933, 5658, 6609, 7604, 448, 1761, 3040, 4076, 4675, 5931, 6654, 8199, 731, 1496, 2290, 3604, 5193, 5923, 6612, 8107, 391, 2056, 2128, 3901, 5193, 6007, 7100, 8052, 767, 1600, 2607, 3277, 5153, 5344, 6809, 7574, 831, 1804, 2925, 3206, 4622, 6163, 6918, 7948, 335, 1869, 3095, 3226, 4447, 6163, 6850, 7776, 401, 1886, 2924, 4041, 4912, 6163, 6980, 7687, 304, 2024, 2391, 3827, 5183, 6163, 6830, 8070, 955, 1777, 3109, 3895, 4276, 5216, 7010, 8080, 288, 1280, 3043, 4114, 4573, 5694, 7201, 7887, 617, 1847, 2709, 3681, 4179, 5797, 6771, 8266, 654, 1264, 2858, 3407, 5048, 5580, 7135, 7659, 105, 2034, 3064, 3955, 4214, 5678, 6584, 8132, 105, 1684, 3064, 3226, 5106, 5372, 7218, 8132, 555, 1684, 2970, 3407, 4622, 5811, 7132, 7563, 859, 1750, 2833, 3994, 4870, 5677, 6677, 8080, 186, 1147, 2970, 3825, 4985, 5635, 6996, 7732, 555, 1684, 3064, 3914, 4387, 5811, 7163, 8147, 186, 1684, 3064, 4071, 4387, 5963, 6996, 7723, 818, 1648, 2970, 4071, 4890, 5901, 7207, 7766, 488, 1622, 2806, 3893, 4624, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 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, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]
[ 1, 31, 33, 63, 5, 31, 16, 5, 16, 41, 33, 63, 5, 76, 69, 30, 5, 43, 14, 75, 5, 30, 63, 11, 62, 66, 5, 5, 3, 955, 2079, 2847, 4132, 4430, 6072, 6702, 8260, 955, 1238, 3110, 3990, 4398, 5978, 6677, 7611, 952, 1724, 2480, 3749, 4292, 5594, 6818, 7256, 271, 2067, 2788, 3533, 4638, 5696, 6380, 7582, 994, 1494, 2788, 3765, 4678, 6090, 6745, 7466, 557, 1557, 2490, 3224, 4813, 5648, 7140, 7860, 896, 1434, 2487, 3905, 4474, 5594, 6308, 7834, 900, 1472, 2361, 3358, 4439, 5351, 6265, 7759, 363, 1693, 2487, 3183, 4664, 5831, 7157, 7386, 884, 1442, 2791, 3751, 4321, 5954, 7200, 7415, 314, 1695, 2690, 3928, 4539, 6135, 7224, 7869, 737, 1271, 2487, 3878, 4686, 5517, 6627, 7544, 1036, 1732, 2273, 3427, 4321, 6034, 7198, 7618, 339, 1397, 2638, 3315, 4903, 5313, 6566, 7864, 1017, 1778, 2487, 3201, 4444, 5847, 6678, 7954, 1041, 2102, 2487, 3840, 4709, 5706, 7041, 8251, 835, 1281, 2487, 3372, 4444, 5624, 6871, 8123, 494, 1400, 2829, 3686, 4832, 5810, 6466, 8137, 494, 1832, 2867, 3356, 4441, 5662, 7165, 8204, 835, 1826, 3073, 3769, 4351, 5320, 6828, 7574, 692, 2118, 2831, 3599, 4597, 6142, 6730, 7737, 1038, 2118, 2170, 3599, 4593, 5444, 7039, 7761, 692, 1828, 3119, 3492, 4876, 5631, 7106, 8149, 938, 1828, 2808, 3720, 4441, 5778, 6710, 7809, 779, 2065, 2866, 3761, 5014, 5643, 6908, 7386, 571, 1691, 2866, 3886, 5095, 6084, 6579, 8112, 779, 1509, 3037, 4115, 4966, 6182, 6979, 7563, 216, 1992, 3133, 3826, 4279, 5360, 6338, 7494, 613, 1252, 2365, 3348, 4208, 6063, 7162, 8036, 1080, 1561, 2725, 3915, 4816, 5749, 6354, 7329, 668, 1550, 2402, 4122, 5100, 5308, 6730, 7313, 1036, 1637, 2717, 3709, 4989, 5734, 6243, 8269, 545, 1118, 2940, 3586, 4873, 5793, 6434, 7429, 234, 1550, 2865, 3426, 4775, 5563, 6816, 7336, 938, 1118, 2346, 3979, 4839, 5690, 6530, 8071, 234, 1164, 2865, 3426, 5142, 5792, 6593, 7981, 774, 1120, 2282, 4122, 4901, 5742, 6485, 7261, 1101, 1110, 2871, 3727, 5070, 5792, 6844, 7604, 265, 1402, 2626, 3892, 4955, 6112, 6966, 7852, 256, 1747, 2163, 3746, 4326, 5568, 7100, 7516, 518, 1597, 2326, 3271, 4998, 5963, 6607, 8213, 256, 1597, 3095, 3226, 5157, 5963, 6919, 7563, 256, 1452, 2839, 3710, 4670, 5276, 7164, 7557, 256, 1851, 3109, 3645, 4412, 6175, 6877, 7737, 256, 1452, 3006, 3891, 5075, 6137, 6889, 7865, 256, 1851, 3095, 3364, 4580, 5890, 6809, 7706, 518, 1992, 2904, 4026, 4870, 6175, 6810, 7555, 518, 1750, 2468, 3516, 4870, 5515, 6771, 7706, 757, 2111, 2944, 3369, 4681, 5661, 6467, 8195, 731, 2065, 2560, 3232, 5023, 5580, 6575, 7591, 402, 1424, 2715, 3323, 5148, 6218, 7076, 8130, 943, 1286, 2346, 3720, 4268, 5864, 6879, 7841, 1017, 1164, 2309, 3962, 4985, 5231, 6241, 7776, 249, 1442, 2309, 3943, 4532, 5314, 6376, 7873, 261, 1411, 2309, 3580, 4663, 5487, 6509, 7912, 458, 1732, 2495, 4016, 4734, 6002, 6359, 7748, 888, 1434, 2260, 3673, 4532, 5800, 7148, 7255, 917, 1403, 2459, 3751, 4586, 5479, 6612, 7865, 123, 1283, 3085, 3256, 5070, 5576, 6915, 7612, 458, 1509, 2487, 3419, 4320, 6002, 6743, 8265, 888, 1510, 2529, 3295, 4781, 5466, 6793, 8028, 917, 1510, 2638, 3672, 5040, 6203, 6587, 7618, 1029, 1518, 2661, 3448, 5160, 6143, 6734, 8095, 150, 1199, 2727, 3756, 4866, 6191, 6608, 7309, 1025, 1897, 2493, 3325, 4834, 6175, 6752, 8242, 643, 1217, 2238, 3962, 4717, 5506, 7006, 7492, 887, 1665, 2708, 3813, 4781, 5265, 6584, 7887, 887, 2035, 2275, 3224, 4428, 5620, 7217, 7555, 887, 1478, 2348, 3175, 4215, 5631, 7149, 7887, 887, 1682, 2993, 3931, 5011, 6187, 7090, 8037, 271, 1721, 2361, 3808, 5008, 5972, 6258, 7473, 895, 1600, 3092, 3960, 5073, 5410, 6717, 7426, 895, 2059, 2422, 3669, 4687, 5721, 6839, 7885, 1101, 1758, 2678, 3161, 4683, 5924, 7097, 7955, 833, 2002, 2203, 4049, 4381, 6213, 6671, 7528, 756, 1816, 2454, 3540, 4784, 5761, 6517, 7383, 952, 2000, 2897, 3201, 4635, 5865, 6302, 7423, 492, 1633, 2765, 4115, 4827, 5921, 6899, 7825, 511, 1410, 3003, 3433, 4568, 5867, 6678, 7987, 536, 1557, 2361, 3467, 4841, 5301, 6651, 7934, 840, 1496, 2658, 4007, 4408, 6126, 6456, 7961, 1001, 1499, 3130, 3505, 4773, 5790, 6528, 7740, 510, 2125, 3150, 3502, 4179, 5219, 7201, 7570, 308, 1218, 2724, 4152, 4622, 6160, 6988, 8245, 308, 1467, 2895, 4041, 5088, 5963, 7058, 7846, 684, 1961, 2293, 3983, 5169, 6149, 6771, 8179, 288, 1797, 2754, 3516, 4287, 5568, 6709, 7563, 804, 1874, 3043, 3982, 5166, 5385, 6852, 7876, 512, 2046, 2936, 3188, 5104, 5219, 7090, 7641, 91, 1918, 2139, 3870, 4918, 5250, 7152, 8176, 541, 1700, 2980, 3549, 4877, 5830, 6349, 7533, 421, 1577, 2744, 3424, 4654, 5398, 6569, 8048, 1003, 1778, 3141, 3992, 4217, 5599, 6706, 8085, 113, 1478, 2349, 3732, 5192, 5289, 6340, 7341, 803, 1404, 2740, 3810, 4765, 5925, 6360, 8000, 472, 1674, 2555, 3409, 4910, 5794, 7154, 7657, 110, 1248, 2515, 3460, 4855, 5876, 6870, 7955, 110, 1407, 2769, 3162, 4475, 5352, 6393, 7791, 571, 1582, 2893, 3971, 4229, 5892, 7190, 7924, 132, 1705, 2944, 3909, 4387, 5901, 6771, 7699, 427, 1248, 3128, 3567, 5183, 5767, 6566, 7490, 935, 1475, 2783, 3240, 4387, 6195, 7207, 7290, 935, 2017, 3095, 3226, 5038, 5534, 6588, 8267, 186, 1791, 3110, 4041, 4624, 6085, 7006, 7806, 186, 2017, 2781, 4071, 4822, 5901, 6794, 7876, 935, 2017, 2781, 3893, 5038, 5241, 7201, 7766, 186, 1528, 2164, 3893, 4798, 6186, 6752, 7876, 153, 1490, 2398, 4005, 5150, 5944, 6402, 7887, 142, 2017, 3117, 3367, 4704, 6081, 6786, 8147, 488, 1528, 2164, 3893, 4624, 6139, 6752, 8196, 818, 1648, 2914, 3893, 4798, 6186, 7124, 7766, 334, 1198, 2566, 3573, 4519, 5913, 6684, 7844, 183, 1570, 2944, 4073, 4512, 5503, 6607, 7386, 105, 2111, 2210, 3407, 4387, 5963, 6840, 7744, 186, 1684, 2970, 4145, 4890, 5767, 7132, 8164, 488, 2111, 3117, 4145, 4798, 6139, 6584, 8080, 860, 2017, 2806, 3825, 4704, 6139, 6589, 7766, 860, 1528, 2806, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 915, 1974, 3065, 3951, 4387, 5677, 6752, 8196, 142, 1528, 2914, 3825, 4798, 5635, 7226, 8147, 142, 1622, 2914, 3367, 4624, 6139, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7077, 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, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 1648, 2914, 3827, 4624, 5635, 7124, 7766, 488, 2017, 2914, 3893, 4798, 6139, 7226, 8223, 4, 2 ]
[ 1, 16, 54, 30, 5, 31, 33, 63, 5, 66, 17, 55, 78, 5, 76, 35, 5, 28, 52, 14, 51, 5, 44, 54, 5, 31, 33, 63, 5, 53, 23, 67, 64, 5, 28, 44, 41, 20, 63, 5, 31, 39, 5, 51, 11, 66, 5, 31, 16, 5, 51, 36, 52, 44, 55, 5, 64, 53, 57, 51, 5, 17, 75, 5, 41, 26, 35, 78, 5, 44, 54, 5, 31, 16, 5, 75, 14, 52, 47, 5, 76, 33, 63, 5, 31, 39, 5, 54, 73, 5, 31, 16, 5, 53, 26, 54, 5, 53, 17, 64, 66, 5, 28, 48, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 2017, 3065, 3893, 4798, 5635, 6794, 8196, 488, 1528, 2164, 4018, 4624, 5705, 6786, 7949, 475, 2046, 2944, 3891, 4398, 5586, 6604, 7949, 893, 1108, 2953, 4000, 4802, 5704, 7033, 7778, 660, 1672, 3130, 3417, 5111, 6016, 6660, 7611, 991, 1509, 2196, 3960, 4335, 5285, 7118, 7263, 752, 1770, 2994, 3937, 4191, 5465, 7231, 8245, 650, 1141, 3101, 3873, 5074, 6114, 6918, 7737, 650, 1771, 2440, 3258, 5164, 6051, 6736, 8022, 104, 1717, 2891, 3230, 5006, 6183, 6579, 7527, 160, 1141, 3039, 3680, 4985, 5266, 7245, 7291, 569, 1826, 2261, 3669, 4596, 5935, 7072, 8096, 1019, 1125, 2487, 3741, 4612, 5965, 6474, 7985, 994, 1283, 2520, 3259, 4875, 5512, 6986, 8073, 1083, 1283, 2720, 3427, 4779, 5930, 6657, 7670, 535, 1283, 2584, 3875, 4214, 6193, 6921, 7504, 137, 1397, 2979, 3469, 4723, 5608, 6705, 7461, 1019, 1494, 2987, 3570, 4894, 5268, 6544, 8045, 1024, 1510, 2842, 3493, 4982, 5449, 6310, 8011, 308, 1422, 2436, 3474, 4197, 6148, 7232, 7260, 818, 1874, 3064, 3961, 4888, 5687, 7010, 8083, 1099, 1175, 2391, 3188, 5159, 6195, 6776, 7485, 914, 2000, 2957, 3982, 4980, 6103, 6668, 8179, 510, 1508, 2925, 4174, 4870, 6129, 7207, 7876, 617, 1304, 2554, 3838, 4622, 5223, 6900, 7707, 824, 1525, 2282, 3340, 4580, 5901, 6521, 7828, 225, 1349, 2359, 3631, 4832, 5829, 7098, 7363, 153, 1633, 2792, 4161, 5129, 5219, 7129, 8164, 403, 1865, 2839, 3503, 4558, 5904, 7218, 8185, 752, 1386, 2810, 3533, 4970, 5565, 6889, 7972, 492, 1818, 2361, 3574, 4281, 5839, 7041, 8086, 492, 1703, 2361, 3661, 4460, 5365, 6875, 7524, 492, 1604, 2973, 3835, 4910, 5311, 7004, 7983, 247, 2117, 2185, 3448, 5198, 5450, 7174, 7296, 826, 1828, 2348, 3481, 4340, 6118, 6910, 7800, 895, 1771, 2337, 3464, 4364, 5567, 6781, 7554, 104, 1815, 2429, 3232, 4459, 5898, 6393, 8232, 1025, 1685, 2653, 3229, 4333, 5765, 6673, 7878, 778, 1685, 2476, 3707, 4536, 6147, 6608, 7740, 887, 1156, 3101, 3660, 5042, 5843, 7207, 7447, 104, 1827, 2436, 3259, 4925, 5908, 6810, 7971, 1090, 1146, 2946, 4041, 4966, 6022, 7019, 8078, 610, 1809, 2156, 3874, 4437, 6080, 6286, 7448, 1037, 1363, 2156, 4151, 4219, 5296, 7220, 7426, 228, 1283, 2878, 4092, 4308, 5810, 6959, 7843, 568, 1826, 2642, 3961, 4351, 5521, 6844, 7529, 617, 1880, 2875, 3635, 4430, 5826, 6410, 7421, 171, 2045, 3147, 3234, 4538, 5956, 6354, 7774, 484, 1796, 2293, 3566, 4925, 5811, 7239, 7485, 211, 2088, 2783, 4114, 4801, 6014, 6979, 8267, 304, 1494, 2326, 3909, 4389, 5534, 6284, 7515, 271, 2035, 2736, 4081, 5088, 5899, 7010, 8108, 271, 1792, 2923, 3846, 4282, 5288, 7060, 8050, 83, 1682, 3112, 3868, 5122, 5419, 6726, 7912, 83, 1682, 2175, 3999, 4650, 6034, 7207, 7933, 1008, 1494, 2944, 3960, 4324, 5470, 7067, 8071, 1008, 2079, 2766, 3986, 4702, 5243, 6254, 7350, 390, 1150, 2580, 4145, 4322, 5869, 6620, 7648, 512, 1881, 2793, 3886, 4630, 5802, 7168, 7846, 512, 1932, 2936, 4068, 5038, 5883, 6979, 7723, 308, 1218, 2838, 4068, 4782, 6211, 6972, 7764, 211, 1881, 3135, 3440, 5104, 6051, 7239, 7570, 804, 1218, 2783, 3440, 4822, 6182, 7111, 7421, 1056, 2125, 2991, 4071, 5166, 5210, 7162, 7641, 308, 1455, 2803, 4114, 5038, 5968, 7168, 8185, 804, 1791, 2957, 3671, 5058, 5968, 6988, 7876, 308, 1218, 2582, 4071, 4287, 5832, 6996, 7876, 779, 1981, 3086, 3842, 5165, 6111, 6967, 8260, 1080, 1338, 2886, 4154, 5109, 5522, 6739, 8226, 668, 1199, 2794, 3937, 4690, 5658, 7002, 7629, 1035, 1199, 2470, 3577, 5017, 5982, 7014, 7480, 807, 1199, 2797, 4066, 4379, 5551, 6820, 8140, 1067, 1129, 2677, 4067, 4617, 5618, 7076, 7560, 876, 1199, 2974, 3568, 4302, 5408, 6335, 7456, 310, 1180, 2536, 4007, 4242, 6060, 6237, 7930, 810, 1470, 2373, 3520, 4457, 5495, 7241, 8211, 327, 1301, 3116, 4047, 5072, 6097, 7153, 7803, 819, 2011, 2141, 3174, 4421, 5980, 7067, 7301, 668, 2086, 2816, 3741, 4897, 6047, 6611, 7505, 873, 1283, 3029, 3874, 4776, 6116, 6244, 7757, 692, 1286, 2313, 3576, 4539, 5978, 6686, 7778, 390, 1411, 2912, 4093, 4279, 5730, 6860, 7971, 337, 1179, 2754, 3918, 5169, 6146, 7017, 7290, 935, 2115, 2925, 3917, 4554, 5883, 6968, 7494, 935, 2032, 3006, 4028, 4533, 5901, 6771, 7485, 935, 2032, 2957, 3803, 4782, 5834, 6467, 7723, 935, 1528, 2391, 3710, 4870, 5630, 6852, 7887, 356, 1752, 2984, 4096, 4287, 5740, 6584, 7408, 512, 1876, 2783, 4006, 4470, 6137, 6850, 7919, 767, 1296, 2991, 3756, 4717, 6050, 6889, 8103, 487, 1830, 2453, 3443, 4241, 5259, 6980, 8027, 784, 1434, 2874, 3616, 5110, 6135, 6852, 7348, 895, 1421, 2429, 3581, 5110, 6135, 6390, 7394, 887, 1682, 2429, 3340, 5020, 5407, 6980, 8145, 104, 1717, 2737, 3937, 4287, 5440, 7004, 7876, 104, 1682, 2868, 3895, 4780, 5749, 6239, 7717, 104, 1717, 2256, 3949, 4556, 5749, 7007, 7421, 271, 2079, 2868, 3793, 4179, 5752, 7202, 8070, 1025, 1797, 3053, 3427, 5020, 5980, 6771, 7473, 826, 1826, 2688, 3710, 4533, 5847, 7028, 7898, 535, 1826, 3130, 3770, 5110, 5563, 6608, 8129, 535, 1283, 3101, 3187, 5110, 5793, 6974, 8028, 1040, 1283, 2882, 3356, 4321, 5398, 7129, 7784, 443, 1283, 2751, 3356, 4813, 5526, 7097, 7547, 535, 1140, 2751, 3775, 5110, 5311, 6504, 7541, 535, 1104, 2953, 3259, 4800, 5512, 6762, 7604, 535, 1653, 2141, 3741, 4729, 5311, 6555, 7686, 826, 1714, 3130, 3567, 5031, 5240, 6883, 7590, 826, 1199, 3077, 3540, 4195, 5784, 6535, 7250, 1033, 1721, 2314, 3962, 5125, 6007, 6995, 8178, 1033, 1721, 2484, 3826, 5129, 5344, 6350, 7918, 104, 1227, 2222, 3727, 4470, 5980, 6723, 8178, 104, 1227, 2282, 3581, 4842, 5297, 6566, 7941, 104, 1773, 2282, 3537, 4701, 5673, 7150, 7341, 1025, 1773, 2659, 4067, 4925, 5573, 6302, 8083, 610, 1146, 2924, 3517, 4287, 5893, 6850, 7927, 610, 1238, 2659, 3231, 4592, 5898, 7117, 8188, 540, 2043, 3151, 3351, 4661, 5787, 6768, 7737, 179, 1338, 2173, 3533, 4952, 6176, 7227, 7611, 810, 1912, 2173, 3714, 4248, 6088, 6529, 7545, 881, 1261, 2999, 3434, 4454, 5980, 6700, 8028, 404, 2067, 2173, 3332, 4356, 5671, 6711, 7962, 113, 1177, 2173, 4163, 5111, 5671, 6529, 7604, 508, 1609, 2772, 3967, 5004, 5713, 6474, 8061, 692, 2050, 2260, 3703, 4187, 5768, 6799, 7910, 569, 1463, 2173, 3505, 4475, 5806, 7016, 7790, 547, 1898, 2536, 3684, 5177, 5862, 6748, 8247, 938, 1426, 2192, 3743, 4818, 5905, 6772, 8060, 371, 1527, 2296, 3567, 4800, 5632, 7178, 7481, 1067, 1426, 2981, 4146, 4716, 5422, 6267, 7449, 371, 2036, 2294, 3940, 4324, 5782, 7108, 8103, 113, 1120, 2409, 3778, 4329, 5708, 6772, 8184, 371, 1581, 2407, 3520, 5069, 5272, 6772, 8064, 271, 1407, 2705, 3699, 4520, 5233, 6237, 7729, 641, 1658, 2401, 3525, 4413, 5634, 7000, 7284, 1033, 1454, 2716, 3779, 4668, 6031, 6484, 7312, 752, 1873, 2708, 3525, 4755, 5403, 7158, 7765, 1025, 1455, 2389, 3239, 5022, 5524, 6637, 7808, 887, 1581, 2234, 3294, 4365, 6085, 6566, 7856, 271, 1621, 2301, 3239, 5000, 5768, 7194, 7899, 115, 1828, 2868, 3644, 4543, 5814, 6683, 7261, 440, 1529, 2542, 4073, 4318, 5325, 6380, 7426, 240, 1529, 2366, 3961, 4727, 5219, 7079, 7476, 228, 1529, 2924, 3413, 5128, 5865, 6338, 7914, 225, 2063, 2791, 3394, 5166, 6132, 6240, 7664, 256, 1468, 2156, 3552, 4887, 6034, 7120, 8164, 475, 1826, 2942, 3995, 5040, 6000, 6453, 8126, 488, 2097, 2554, 3891, 4918, 6186, 6338, 8147, 1002, 2032, 2754, 3932, 4870, 5963, 7006, 7806, 945, 1528, 3065, 3893, 4798, 6139, 6794, 8223, 142, 1622, 2914, 3825, 4798, 6139, 6794, 7766, 915, 1974, 2164, 3914, 4624, 5844, 6604, 8196, 488, 1622, 2164, 3893, 4512, 6139, 6794, 8196, 915, 1750, 2858, 3827, 5079, 5493, 7124, 8266, 555, 1750, 2554, 3827, 4583, 5635, 6752, 8223, 555, 1468, 3021, 4096, 5060, 6081, 6584, 8126, 915, 2017, 3021, 3914, 4870, 6186, 7077, 7715, 142, 1528, 2806, 3825, 4704, 6139, 7077, 8223, 142, 1528, 2914, 3825, 4624, 6186, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 956, 1945, 2949, 3226, 4822, 5340, 7226, 7485, 956, 2017, 2164, 3990, 4822, 6081, 7124, 8223, 951, 2045, 3026, 3900, 5061, 5436, 6302, 7949, 149, 1561, 2627, 4037, 4978, 5981, 6461, 8248, 499, 1363, 2885, 3171, 4450, 5552, 6571, 7542, 526, 1942, 2672, 3165, 5031, 5441, 7053, 7369, 936, 1821, 2346, 3190, 4371, 5224, 6893, 8130, 752, 2059, 2591, 3900, 5067, 5250, 6611, 8093, 440, 1878, 3147, 3648, 5144, 6170, 6791, 7954, 901, 2063, 2627, 3487, 4387, 5474, 6668, 8262, 878, 1649, 2432, 3364, 4635, 5381, 6443, 8227, 844, 1898, 2440, 3566, 5058, 5804, 7003, 7303, 952, 1930, 2473, 3300, 4225, 5777, 6235, 8225, 938, 1660, 2300, 3295, 4395, 5812, 6718, 8082, 277, 2009, 2948, 3429, 5027, 5606, 6866, 7954, 436, 1928, 2312, 3450, 5154, 5408, 6375, 7626, 876, 1469, 2974, 3262, 5027, 5655, 6881, 7736, 547, 1439, 2368, 3699, 4460, 5223, 6267, 8039, 113, 1469, 3074, 3778, 4652, 5885, 6723, 7757, 531, 1469, 2435, 3479, 4274, 6053, 7193, 8243, 662, 1469, 2348, 3517, 4636, 5632, 6478, 7626, 895, 1120, 3107, 3432, 4310, 5685, 6762, 8221, 390, 2003, 2860, 3916, 4282, 5220, 6326, 8132, 308, 1386, 2980, 4026, 5169, 6025, 7221, 8185, 833, 1963, 2895, 3616, 4877, 6070, 7129, 8159, 572, 1264, 2561, 3604, 4648, 5843, 6829, 8233, 840, 1826, 2658, 3732, 4346, 6002, 6934, 7492, 943, 1826, 2658, 3513, 4392, 6002, 6680, 7636, 98, 1283, 2401, 3884, 5144, 5300, 6870, 8189, 1040, 1732, 2658, 3599, 4878, 6002, 6871, 7461, 103, 2053, 2942, 3704, 4804, 6005, 6814, 8178, 308, 1685, 2490, 3873, 5083, 5713, 6715, 7973, 956, 1963, 2991, 3873, 4276, 5210, 6752, 7717, 818, 1467, 3021, 3982, 5106, 5661, 7084, 7876, 935, 1856, 3064, 3516, 5058, 6205, 6979, 7806, 427, 1620, 2730, 4085, 5038, 6001, 6972, 8179, 403, 2000, 3089, 3168, 4692, 5980, 7095, 7367, 91, 2088, 2912, 4171, 5096, 5439, 6937, 7558, 100, 1596, 2886, 4106, 4588, 5207, 6239, 7630, 1015, 2111, 2554, 3838, 5106, 5910, 6338, 7891, 473, 1513, 2130, 4135, 4690, 6039, 6627, 8125, 752, 1645, 2383, 4168, 4861, 6166, 7100, 7962, 1029, 1919, 2326, 3386, 5091, 5791, 6272, 7919, 536, 1469, 2823, 3279, 4672, 5447, 6372, 7449, 840, 1469, 3121, 3452, 4310, 5512, 7027, 7995, 443, 1469, 3011, 3187, 4788, 5894, 6538, 7728, 840, 1926, 2882, 3187, 4706, 5424, 6517, 7623, 840, 1469, 3046, 3779, 4527, 5447, 6279, 8054, 1062, 1469, 3046, 4024, 4440, 5604, 6723, 7466, 776, 1146, 3089, 3778, 4965, 6156, 7178, 7478, 1099, 1991, 2754, 4171, 4284, 5289, 7111, 7908, 186, 1218, 2899, 4018, 5061, 5883, 6709, 8080, 935, 2000, 3128, 3390, 4276, 6103, 6709, 8066, 914, 2000, 2899, 4041, 4782, 6063, 6515, 8083, 914, 1791, 3095, 4041, 5080, 6205, 6972, 8179, 1099, 2017, 3008, 4114, 4888, 6129, 7201, 8195, 1099, 1791, 2781, 3645, 5104, 5241, 6709, 8076, 967, 1945, 2806, 4026, 5088, 6175, 7017, 7706, 1102, 1557, 2293, 3662, 4588, 5616, 6991, 7761, 840, 1402, 2868, 4162, 5006, 6114, 6622, 7724, 458, 2009, 2188, 3610, 4845, 5714, 6903, 8149, 424, 1139, 2129, 3706, 5122, 5942, 6715, 8136, 1097, 1821, 3135, 4085, 5157, 5216, 7006, 8260, 488, 1945, 3006, 3188, 5058, 6129, 6809, 8260, 488, 2017, 3007, 3983, 4980, 6129, 7132, 8076, 818, 1791, 2820, 4018, 4822, 6195, 7132, 8196, 935, 1705, 2960, 3516, 4287, 5832, 6988, 7421, 1097, 1620, 3008, 3945, 5058, 6129, 7006, 7876, 510, 1856, 3110, 4085, 4822, 6014, 6972, 7723, 293, 1517, 2818, 3651, 4625, 5758, 6629, 7384, 171, 2060, 2875, 3602, 4378, 5892, 6443, 7477, 579, 1736, 2941, 3669, 4344, 5289, 6934, 7363, 91, 1736, 2875, 3803, 4861, 5489, 6734, 8107, 512, 2065, 2340, 3904, 4690, 6131, 7098, 8117, 160, 1761, 2975, 3396, 4470, 5950, 7010, 8267, 392, 1232, 2870, 4099, 4343, 5356, 6588, 7696, 1067, 1835, 2511, 3419, 4825, 6222, 7228, 7976, 386, 1759, 2267, 3338, 4750, 5395, 6463, 7832, 386, 1517, 2705, 3426, 4369, 6215, 6501, 7508, 864, 1517, 2585, 3962, 4738, 6080, 7096, 7927, 1029, 1278, 2878, 3740, 4440, 5942, 6772, 7835, 1067, 1363, 2815, 3305, 4319, 6146, 6784, 7783, 150, 1682, 2690, 3679, 4700, 6158, 7173, 8013, 784, 1633, 2506, 4165, 5085, 6114, 6849, 7882, 504, 1582, 2173, 3776, 4743, 5749, 6784, 7918, 1024, 1407, 2678, 3233, 4829, 5500, 7194, 8170, 386, 1490, 2675, 3390, 5145, 5950, 6536, 8233, 1080, 1171, 2429, 3751, 4431, 6088, 6571, 8140, 862, 1777, 2378, 3426, 4811, 6187, 7033, 8061, 938, 1164, 2210, 3848, 4895, 5864, 7043, 8215, 970, 1164, 2128, 4103, 4716, 5620, 6736, 7980, 779, 1994, 2980, 3873, 4561, 5844, 6713, 8261, 216, 2081, 2946, 3161, 5145, 6085, 7207, 8185, 643, 1227, 2887, 4145, 4622, 6131, 6709, 8266, 390, 1998, 2838, 4027, 4630, 6146, 6850, 8209, 859, 1675, 3026, 4124, 4630, 5797, 7239, 7906, 617, 1570, 3003, 3660, 4225, 6156, 7143, 8118, 225, 1570, 2349, 3394, 4638, 6051, 6382, 8214, 225, 1719, 2491, 3761, 4775, 5863, 6820, 7948, 240, 2118, 2791, 3350, 4611, 5624, 6584, 7677, 256, 1666, 2554, 3574, 4459, 5658, 7232, 7476, 1097, 2097, 2960, 3891, 4423, 5981, 6752, 8267, 818, 1869, 2729, 4071, 5080, 5677, 7077, 8260, 818, 2068, 2960, 3914, 5061, 5705, 7077, 8179, 304, 1508, 2352, 3914, 5183, 5635, 6776, 7570, 1033, 1138, 3007, 3671, 5063, 6063, 6830, 7494, 1029, 1356, 3150, 4093, 4396, 5754, 6642, 7298, 249, 1972, 3078, 3793, 4889, 5905, 7095, 8079, 784, 1318, 2887, 3938, 5129, 6114, 7008, 7428, 504, 1873, 2999, 3246, 5061, 6050, 6347, 7574, 678, 1897, 2444, 4112, 4954, 6056, 6350, 7255, 684, 1998, 2754, 4146, 5183, 5216, 6979, 8066, 1099, 1998, 3143, 3856, 5125, 5901, 6613, 7641, 1099, 1370, 3008, 3945, 5061, 6211, 7162, 7768, 186, 1998, 2803, 4018, 5060, 6081, 7132, 8260, 984, 2000, 3064, 4174, 4583, 6085, 6996, 7806, 473, 1386, 2446, 3994, 4423, 5216, 6360, 8267, 132, 1705, 3095, 3901, 5104, 5210, 7084, 8076, 223, 2046, 2960, 3540, 5165, 5534, 6967, 7689, 1067, 2019, 2369, 3540, 4359, 6148, 7217, 7689, 304, 1441, 2690, 3330, 5053, 5346, 6702, 8184, 833, 1867, 2677, 4113, 4901, 6000, 7221, 7806, 789, 1540, 3007, 4113, 4398, 6051, 7084, 7811, 789, 2030, 3144, 3866, 5058, 5687, 6709, 7563, 440, 2097, 2561, 3390, 5137, 6080, 7143, 7948, 789, 2030, 2340, 4085, 4536, 5630, 6589, 8130, 789, 2030, 2880, 3440, 5061, 5901, 6889, 8260, 789, 2030, 2803, 3993, 5061, 6110, 7129, 8266, 789, 2030, 3065, 3886, 4611, 5892, 7239, 8179, 789, 1386, 2473, 3932, 4912, 6110, 7095, 7846, 789, 2073, 2473, 4011, 5138, 5360, 6988, 7485, 473, 2085, 2659, 3540, 5150, 6123, 6612, 7865, 685, 2035, 2981, 3925, 4672, 6179, 7218, 7933, 249, 1926, 2581, 3152, 4882, 5726, 6309, 7684, 492, 1183, 2240, 3477, 4652, 5364, 6690, 8163, 897, 1983, 3040, 4024, 5182, 5780, 7214, 7892, 840, 1261, 2612, 3486, 4835, 6034, 7028, 7567, 535, 1301, 3040, 3699, 4824, 5273, 6952, 7778, 535, 1183, 2213, 3332, 4714, 5249, 7070, 7649, 535, 1193, 3091, 3981, 4347, 5291, 7140, 7590, 840, 1510, 2830, 3493, 4813, 5506, 6779, 8033, 404, 1459, 2487, 3669, 4356, 6002, 7215, 8168, 1003, 1835, 2672, 4053, 4213, 5584, 6965, 7995, 113, 1586, 3061, 3265, 4833, 5441, 6705, 8035, 1057, 1397, 2333, 3711, 4279, 5611, 6801, 7250, 895, 1653, 3116, 3342, 4440, 5776, 6818, 8055, 319, 1758, 2218, 3434, 5095, 6101, 6333, 8070, 1057, 1586, 2406, 3447, 4636, 6153, 7230, 7867, 1062, 1196, 2378, 3191, 4784, 5838, 6651, 7832, 113, 1710, 2891, 4087, 4893, 5609, 6614, 7291, 1024, 1758, 2348, 3478, 4607, 5934, 7033, 7939, 895, 1886, 2564, 3703, 4814, 6005, 6692, 7966, 1024, 1884, 2336, 3446, 4596, 6128, 6889, 7435, 831, 1388, 2156, 3984, 4636, 5899, 6753, 7481, 256, 1529, 2924, 3939, 4665, 5659, 6634, 7905, 225, 1676, 2188, 3727, 4602, 5443, 6476, 7755, 317, 1540, 2268, 3337, 4231, 6109, 6348, 7795, 390, 1252, 2942, 3366, 4399, 5903, 6715, 8205, 752, 1873, 2235, 3901, 4566, 5913, 6829, 8260, 113, 1821, 2429, 3704, 4509, 5797, 6757, 7260, 826, 1966, 2282, 3936, 4334, 5583, 7082, 7616, 150, 1655, 2348, 3195, 4334, 6154, 7164, 7767, 150, 1878, 2207, 3393, 4793, 5266, 7148, 7480, 150, 1255, 2944, 3918, 5129, 5481, 7203, 8076, 752, 1670, 2915, 3990, 4551, 6051, 7220, 7902, 1033, 1402, 2615, 3256, 4856, 5534, 6809, 7260, 150, 1820, 3056, 3932, 4802, 5534, 6812, 8252, 1025, 1797, 2766, 4150, 4337, 5616, 6352, 7312, 1090, 1682, 2895, 3249, 5079, 5250, 6663, 7776, 465, 1407, 2497, 3826, 4927, 6061, 7055, 7835, 249, 1531, 2452, 3878, 4702, 5778, 6869, 7643, 1029, 1969, 2497, 3552, 4418, 5465, 6386, 8225, 104, 1158, 2896, 3169, 5093, 5678, 7148, 7812, 833, 1850, 2678, 3901, 5164, 5740, 6566, 7754, 308, 1939, 2473, 3644, 4792, 6205, 7019, 7570, 684, 1851, 2947, 4171, 5085, 6110, 7201, 8099, 304, 1833, 2360, 3671, 4398, 5678, 6755, 7641, 390, 1141, 3008, 4113, 4512, 6110, 6584, 7291, 844, 1655, 2335, 3922, 4596, 6050, 6986, 7905, 83, 1820, 2842, 3245, 4919, 5302, 6872, 8128, 875, 1826, 3089, 3661, 4697, 6197, 6934, 7607, 249, 1826, 2191, 3770, 4755, 5595, 7184, 7930, 179, 1826, 2192, 3909, 5199, 5454, 6875, 8068, 936, 1826, 2209, 3944, 5092, 5787, 6875, 7623, 492, 1193, 2793, 3394, 4340, 5857, 7229, 7634, 113, 1490, 3034, 3394, 4742, 5638, 6875, 8211, 247, 1496, 2532, 3394, 4468, 5656, 6805, 8128, 581, 1924, 2869, 3936, 4627, 5288, 6354, 8168, 895, 1490, 2888, 3735, 4755, 5810, 6933, 7301, 360, 1828, 2140, 3536, 4966, 5470, 7014, 7613, 1030, 1463, 2173, 3543, 4359, 5999, 6319, 8069, 770, 2036, 2599, 3755, 4678, 5608, 6311, 8155, 776, 1120, 2282, 4067, 4339, 5632, 6791, 7996, 1011, 1427, 2282, 3314, 4179, 5632, 6478, 7488, 641, 1531, 2748, 4067, 4444, 5771, 6391, 7868, 1084, 1269, 3130, 3939, 4318, 5512, 7043, 7646, 397, 1139, 2238, 3892, 4205, 5501, 6763, 7824, 881, 1397, 2196, 3514, 4422, 6117, 6771, 7336, 234, 1653, 2610, 3331, 4474, 5800, 6461, 8108, 569, 1942, 2593, 3696, 5045, 6217, 6224, 7304, 668, 1706, 2520, 3342, 4804, 5745, 6978, 8086, 996, 1942, 2543, 3751, 4775, 6013, 6614, 8061, 1080, 1289, 2327, 3936, 4800, 5811, 6883, 7919, 1036, 2079, 2327, 3714, 4590, 5706, 6581, 8234, 569, 1550, 3105, 3741, 4790, 5476, 7063, 8211, 459, 2095, 2751, 3986, 5151, 5552, 6256, 8064, 487, 1653, 2258, 3358, 4869, 5868, 6663, 7527, 390, 1992, 2885, 4037, 4586, 5869, 6732, 8077, 1097, 1992, 2582, 3873, 4267, 5705, 7033, 7421, 818, 1945, 2895, 3188, 4681, 6205, 7006, 7806, 818, 1620, 2925, 3893, 4624, 6103, 7084, 8179, 818, 1791, 2803, 3825, 4624, 5241, 7239, 7766, 818, 1622, 3135, 4018, 4782, 5635, 7201, 8185, 488, 1528, 2164, 3893, 4782, 6139, 6709, 7766, 488, 1528, 2833, 3893, 4624, 6139, 6589, 8196, 488, 1528, 2914, 3891, 4798, 6081, 7226, 8080, 488, 1528, 2833, 3893, 4624, 6081, 6589, 8147, 915, 1684, 2164, 3803, 4704, 5635, 7120, 7485, 555, 1974, 2833, 3825, 4624, 5635, 7077, 8080, 555, 1684, 3064, 3374, 4890, 6186, 6589, 8223, 915, 2111, 2914, 3914, 4798, 5550, 7098, 8223, 488, 2111, 3065, 3893, 4583, 5635, 7226, 8080, 915, 1622, 2164, 3374, 4798, 5241, 6752, 7677, 488, 1528, 2833, 3893, 4624, 6081, 7120, 8223, 915, 1648, 2806, 3914, 4512, 5241, 7152, 8223, 555, 1684, 3064, 3893, 4512, 6182, 7152, 8237, 555, 1684, 3064, 3893, 4681, 5515, 6677, 8196, 555, 1684, 3021, 4166, 5079, 5550, 6515, 7485, 915, 2106, 2806, 4068, 4888, 6205, 7077, 8223, 555, 1684, 3064, 3893, 4624, 6081, 6996, 8196, 915, 1684, 2970, 3825, 4624, 5635, 7120, 7485, 555, 1684, 3064, 3825, 4387, 6186, 7120, 8223, 915, 1684, 2164, 3825, 4387, 5981, 7120, 7485, 488, 1684, 2914, 3893, 4681, 5534, 6589, 7766, 860, 1528, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2806, 3825, 4798, 6081, 6794, 7723, 142, 1528, 2949, 3367, 4798, 5883, 7077, 8223, 488, 1381, 3065, 4108, 5076, 6129, 6972, 8223, 512, 1945, 3098, 3945, 4583, 6182, 6709, 7715, 858, 1949, 2638, 3993, 4641, 6190, 6734, 7537, 271, 1614, 2678, 3413, 4852, 5409, 6684, 7815, 866, 1350, 2207, 3962, 5197, 5934, 6442, 7517, 664, 2059, 2627, 3537, 5001, 5578, 6315, 8032, 723, 1510, 2842, 3366, 4835, 5408, 6622, 8032, 723, 1510, 2346, 3238, 4814, 6135, 6348, 7426, 1040, 1283, 2848, 3741, 4678, 5300, 6853, 7784, 408, 2059, 3039, 3997, 4934, 6125, 6740, 7881, 663, 1455, 2207, 3788, 4219, 5500, 6566, 7930, 1037, 2073, 2293, 3159, 4897, 5943, 7205, 7983, 1084, 1468, 2166, 3488, 4486, 5983, 6777, 7582, 113, 1139, 2346, 4087, 4489, 5727, 6806, 8191, 535, 1397, 2788, 3448, 4256, 5600, 7044, 7974, 462, 1283, 2464, 3485, 4539, 5381, 6793, 7800, 672, 1669, 2751, 3709, 4495, 5800, 7061, 7651, 1040, 1118, 2751, 3218, 4800, 6005, 6748, 7375, 280, 1942, 2751, 3192, 4800, 5867, 6287, 7413, 646, 2008, 2610, 3358, 4756, 6145, 7229, 8077, 826, 1397, 2740, 3551, 5031, 5708, 6528, 7336, 1090, 2107, 2794, 3613, 4261, 5788, 7220, 7764, 826, 1676, 2462, 3427, 4993, 6195, 6480, 7248, 104, 1486, 2436, 3560, 4536, 6187, 6540, 8034, 826, 2079, 2436, 3630, 4287, 5600, 7244, 7838, 104, 1538, 2794, 3936, 4343, 5765, 6626, 7557, 391, 1489, 2794, 3271, 4688, 5908, 7010, 8085, 104, 1439, 2810, 3558, 4337, 6025, 7096, 8197, 487, 1942, 2490, 3649, 4215, 5527, 7223, 7927, 986, 1397, 2805, 3823, 4620, 6154, 7083, 8012, 807, 1335, 2885, 3860, 5020, 5934, 7053, 7683, 993, 1797, 2440, 3500, 4929, 5266, 6592, 7404, 1057, 1732, 2655, 3826, 4259, 5276, 6924, 8248, 826, 1570, 2688, 3719, 4576, 5749, 6224, 7971, 443, 2125, 2987, 3930, 4321, 5783, 6313, 7759, 299, 1826, 2847, 3745, 5137, 5512, 7112, 7311, 104, 1509, 2436, 3504, 4269, 5755, 7035, 8209, 1025, 1770, 2436, 3870, 4925, 5760, 6668, 8261, 826, 1935, 2868, 3840, 4861, 6146, 7132, 8083, 887, 1581, 2868, 3393, 4925, 6084, 6899, 8266, 104, 1770, 2783, 3886, 5118, 5491, 6815, 7895, 1090, 1660, 3092, 3662, 5096, 5475, 7234, 7794, 390, 1791, 2860, 4011, 4923, 5801, 6792, 8266, 955, 1976, 2793, 3916, 5088, 6131, 6810, 8209, 776, 1821, 2163, 3826, 4276, 5678, 7019, 7782, 150, 1531, 2348, 3819, 4343, 5902, 7091, 7428, 875, 1771, 2486, 3356, 5049, 5976, 7114, 7671, 895, 1531, 2961, 3972, 4825, 5205, 6306, 7457, 895, 1838, 2868, 3429, 4882, 5865, 6474, 8133, 663, 1200, 3038, 3537, 4621, 6021, 6630, 7547, 826, 1676, 2659, 4011, 5159, 5477, 7069, 7386, 887, 1227, 3020, 3889, 5083, 5223, 6478, 7381, 850, 1182, 2659, 3901, 5115, 6058, 6734, 7806, 408, 1540, 3076, 3407, 5198, 5295, 6702, 7846, 937, 1587, 2881, 4073, 5166, 6179, 7207, 7716, 831, 1931, 2727, 3983, 5165, 5344, 7205, 7260, 610, 1138, 2900, 3420, 4387, 6058, 6633, 7591, 1009, 1697, 2687, 4110, 4423, 5691, 6892, 8219, 1080, 1469, 2409, 3168, 4626, 5255, 7092, 8152, 492, 1199, 2580, 3241, 5051, 5719, 6262, 7746, 910, 1912, 2474, 3276, 4495, 5410, 6568, 7839, 895, 1426, 2819, 3356, 4824, 5387, 6549, 8238, 313, 1776, 3130, 3309, 4649, 5977, 7142, 7899, 1036, 2036, 2628, 3585, 4835, 5624, 6974, 7486, 862, 1399, 3137, 4162, 4352, 5471, 7018, 7726, 668, 1132, 2953, 3936, 4607, 6055, 6883, 7293, 692, 2107, 2327, 3392, 5146, 5570, 6735, 7568, 569, 1942, 2787, 3383, 4626, 5800, 6347, 8209, 408, 1388, 2787, 4007, 4662, 5583, 7043, 8193, 850, 1942, 2222, 3943, 4796, 6028, 6814, 7868, 424, 1671, 2136, 4082, 4191, 5963, 7157, 7481, 850, 1676, 2135, 3756, 4530, 5573, 6736, 8143, 778, 1950, 2429, 3642, 4690, 6044, 6260, 7513, 850, 1182, 2429, 3488, 4757, 5695, 6774, 7965, 408, 2021, 2429, 3468, 5092, 5784, 6904, 8107, 731, 1350, 2582, 4101, 5142, 6211, 6270, 7260, 408, 1271, 2330, 3671, 4930, 5944, 6719, 8085, 610, 1399, 2924, 4093, 4429, 5641, 6884, 8163, 104, 1581, 2515, 3616, 4272, 6183, 6892, 7521, 793, 1972, 2975, 4053, 4945, 6061, 6316, 7590, 1040, 1426, 2591, 3255, 4419, 6111, 6778, 8011, 897, 1426, 3137, 3740, 4804, 5510, 7212, 7656, 492, 1828, 2263, 3875, 4636, 5865, 7055, 7546, 113, 1455, 2848, 4144, 4606, 5920, 6258, 7827, 160, 2067, 2775, 3709, 4776, 6217, 7139, 7864, 654, 1826, 2801, 4021, 4945, 5221, 6468, 8137, 654, 1826, 2548, 3798, 4529, 5792, 6604, 7918, 240, 1756, 2529, 4103, 4859, 5892, 6671, 7477, 240, 1201, 2729, 3470, 4716, 5827, 7162, 7774, 914, 2017, 3131, 3516, 4298, 5767, 7082, 7753, 818, 2097, 2806, 4011, 4704, 5901, 6889, 7806, 488, 1620, 2560, 3803, 4398, 6129, 6752, 8260, 818, 1528, 2806, 3982, 4888, 5832, 7168, 8237, 818, 1622, 3135, 4018, 4624, 6139, 6972, 8237, 186, 1804, 2838, 4071, 4551, 5901, 7084, 7485, 510, 1675, 2960, 3945, 5166, 5216, 6752, 8185, 731, 1676, 2795, 3987, 4822, 6001, 7237, 8267, 390, 1370, 2783, 4170, 5061, 5210, 6988, 8066, 1071, 1881, 3064, 3226, 5165, 5612, 6566, 7723, 955, 1747, 2793, 4071, 4343, 5491, 6988, 7557, 761, 1601, 2701, 3253, 4881, 6144, 7010, 8200, 862, 1397, 2798, 3911, 4641, 5366, 7202, 7803, 672, 1597, 2741, 3733, 4629, 5212, 6577, 7490, 1040, 1118, 3016, 3353, 4212, 5599, 7246, 8006, 545, 1942, 2293, 3413, 4433, 6215, 6929, 7752, 986, 1397, 2345, 3695, 4900, 6003, 6640, 7869, 582, 1834, 2336, 3939, 4688, 6123, 7155, 7587, 807, 1918, 2718, 4057, 4533, 5391, 7038, 8129, 986, 1706, 2470, 4082, 4604, 5935, 6733, 7627, 582, 1834, 2490, 3939, 4742, 6094, 7085, 7611, 643, 1965, 2490, 3363, 4191, 5447, 6504, 7508, 545, 2059, 2799, 3871, 4535, 5716, 6905, 7574, 970, 1706, 2817, 3493, 4337, 5730, 6717, 8236, 103, 1455, 2361, 4103, 4588, 5552, 7085, 7450, 391, 1706, 2167, 3391, 4717, 5318, 7076, 7799, 103, 1146, 2692, 3962, 5031, 6212, 6915, 7744, 103, 2107, 2943, 3410, 4818, 5810, 6909, 7288, 779, 1591, 2946, 3770, 4633, 5776, 6803, 7384, 1090, 1331, 3080, 4037, 5080, 5650, 6576, 7386, 709, 1653, 2794, 3710, 4513, 6110, 6871, 8209, 779, 1858, 2593, 4155, 5085, 5661, 6607, 7706, 1097, 1623, 3053, 3413, 5106, 5677, 7132, 8130, 956, 1623, 2960, 4174, 5058, 5705, 6719, 8185, 142, 1528, 2914, 3825, 4822, 5241, 7239, 7717, 488, 2017, 2806, 3893, 4980, 5241, 6972, 7766, 488, 1622, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 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, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]
[ 1, 53, 26, 5, 41, 11, 31, 35, 5, 76, 11, 78, 5, 30, 33, 30, 3, 488, 1623, 2746, 3886, 5159, 5661, 6979, 8236, 818, 1623, 2746, 3803, 4704, 6195, 6996, 7949, 956, 1648, 3110, 3825, 4980, 5705, 7207, 8196, 1064, 1700, 2858, 3352, 4467, 6064, 6740, 8077, 249, 1503, 2772, 3849, 4417, 5526, 7195, 7746, 310, 1509, 2353, 3578, 4699, 5624, 6521, 8000, 556, 1346, 3091, 3216, 4462, 5535, 7061, 8075, 499, 1605, 2629, 3394, 4381, 5400, 6941, 8121, 1067, 1510, 2271, 3639, 4801, 5299, 6592, 8182, 304, 2000, 2646, 3218, 4589, 5898, 6278, 7658, 518, 1452, 2381, 3706, 4437, 6058, 7163, 7930, 518, 2030, 2429, 3550, 5095, 6192, 6986, 7918, 518, 2030, 2803, 3595, 5120, 6051, 7201, 7962, 789, 2030, 2820, 4006, 5143, 5677, 7129, 7966, 789, 1525, 2991, 3891, 4888, 5385, 6810, 8179, 789, 1851, 2803, 3364, 4700, 6182, 7090, 7677, 256, 1452, 3131, 3803, 4298, 6182, 6810, 7715, 256, 1452, 2746, 4011, 4870, 6062, 7084, 7732, 518, 2097, 2944, 3407, 5128, 6129, 6604, 8236, 541, 1525, 2493, 4153, 4918, 5350, 6772, 8061, 355, 1318, 2560, 3994, 4740, 5863, 6360, 7842, 767, 2050, 2913, 3964, 4727, 5983, 7094, 8265, 472, 1972, 2296, 3220, 4655, 6033, 6329, 7430, 262, 2029, 2680, 3489, 5175, 5576, 6403, 8168, 1006, 1922, 3040, 3354, 5175, 5578, 7117, 7990, 208, 2100, 2961, 3561, 4678, 6119, 6446, 7626, 1064, 1877, 2603, 3967, 4324, 5917, 6619, 8204, 501, 1173, 2680, 3600, 4332, 5797, 6700, 7611, 948, 1592, 2394, 3536, 5005, 5646, 6761, 7604, 508, 1711, 3040, 3785, 5021, 6000, 6897, 7755, 1064, 1183, 2191, 3507, 4429, 5797, 6721, 7758, 1064, 1183, 2431, 3507, 4935, 6034, 6239, 7567, 1064, 1900, 2691, 4027, 4830, 5954, 6666, 8235, 391, 1183, 2194, 3256, 4873, 5624, 6566, 7807, 571, 1608, 2998, 4125, 4332, 5590, 6668, 8178, 779, 1370, 3143, 4011, 4870, 6160, 6467, 7677, 571, 1523, 3143, 3987, 4828, 5671, 7069, 7703, 1102, 1206, 2709, 3595, 5085, 5573, 6519, 7895, 149, 1183, 2389, 3454, 4439, 5360, 7143, 7516, 315, 1199, 2298, 3356, 4657, 5373, 6615, 7702, 1008, 1503, 2578, 3836, 4354, 5443, 6743, 8140, 277, 1318, 2869, 3600, 5158, 6035, 6974, 7578, 547, 1469, 2314, 3533, 5066, 5697, 6302, 7724, 779, 1847, 3095, 3253, 4589, 5834, 7023, 7355, 571, 1363, 2715, 4074, 5058, 5573, 6967, 8080, 1051, 1778, 3043, 3990, 4867, 5834, 6809, 8188, 304, 1812, 3006, 3240, 4822, 5650, 6938, 8093, 833, 1847, 3060, 4112, 4533, 5210, 7162, 7458, 942, 1318, 2863, 3856, 4181, 6120, 7100, 7674, 948, 1992, 2290, 3918, 5079, 5900, 6540, 8266, 262, 1120, 2482, 3299, 5108, 5634, 6298, 7329, 1067, 1338, 2697, 3448, 4748, 5744, 6354, 7954, 692, 1400, 2497, 3770, 4485, 5624, 6484, 7255, 271, 1596, 2154, 3770, 5023, 5385, 6657, 8069, 504, 1400, 2871, 4166, 5070, 5710, 7071, 7602, 613, 2118, 3020, 3575, 4621, 5589, 7188, 7509, 576, 2002, 2556, 4096, 4776, 5490, 6619, 7894, 518, 1252, 2801, 4080, 4775, 6105, 6715, 8031, 654, 1773, 2188, 3183, 5135, 5486, 7168, 8033, 453, 1265, 3091, 3831, 4829, 6084, 6740, 7421, 804, 1945, 2918, 3672, 4912, 5677, 7129, 7781, 308, 2063, 2980, 3803, 4877, 5658, 7033, 7563, 804, 1363, 3108, 3914, 5125, 6063, 7149, 7846, 308, 1944, 2598, 3914, 4782, 5901, 6871, 8223, 684, 2046, 2947, 4068, 4912, 5832, 6979, 7677, 804, 1906, 2754, 4068, 4512, 5694, 7201, 8185, 874, 1817, 3003, 3213, 4849, 5584, 6976, 8031, 825, 1695, 2701, 3564, 4793, 5296, 7051, 7905, 752, 1374, 2455, 3183, 4222, 5653, 6517, 7530, 113, 2117, 2190, 3568, 5069, 5298, 6269, 7904, 876, 1753, 2415, 4070, 4364, 6080, 6908, 8169, 992, 1938, 3029, 3869, 5188, 5696, 6319, 7759, 807, 1534, 2415, 3469, 5164, 5810, 6234, 7955, 844, 2003, 2327, 4073, 4321, 5870, 6798, 7885, 756, 1442, 2659, 3957, 4294, 6032, 6364, 7976, 1059, 1282, 3001, 3623, 4449, 6142, 6929, 7869, 708, 1600, 2316, 3943, 4949, 5827, 7087, 8126, 940, 1623, 2327, 3239, 4900, 6119, 6474, 7940, 708, 1349, 2366, 3555, 4949, 5633, 6474, 8169, 211, 1140, 2839, 3778, 5118, 5827, 6723, 7585, 575, 1695, 2688, 3623, 4999, 5778, 6444, 7706, 1081, 1349, 3064, 4150, 4592, 6034, 6607, 7934, 818, 2046, 2496, 3516, 5080, 5340, 7237, 8147, 510, 1668, 2754, 3916, 5183, 5901, 6589, 8213, 804, 1705, 2895, 3962, 4822, 6211, 6709, 7717, 510, 1791, 2838, 3918, 5061, 5883, 6988, 7723, 510, 1705, 2783, 3886, 4583, 5241, 6786, 7557, 510, 2041, 2991, 3909, 5104, 5705, 6979, 7717, 510, 1668, 3043, 4071, 4387, 6182, 7132, 8147, 397, 1995, 2720, 3193, 4764, 5550, 6613, 7542, 938, 1881, 3097, 3752, 4307, 6164, 6820, 7889, 620, 1347, 2724, 3623, 4207, 5761, 7198, 7250, 1038, 1349, 2530, 3469, 5103, 6005, 7035, 7673, 403, 1560, 2871, 4067, 4214, 6070, 6909, 8240, 288, 2111, 2820, 3831, 4399, 5480, 6980, 7770, 105, 1496, 2579, 3426, 4925, 6120, 6683, 7887, 935, 1496, 2936, 3240, 4896, 5923, 6809, 7716, 201, 2111, 2806, 3803, 4704, 6211, 6630, 7949, 201, 1528, 2806, 3803, 4704, 6182, 6794, 7766, 488, 1528, 2806, 3825, 4624, 6139, 7084, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8147, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 4, 2 ]
[ 1, 64, 45, 66, 5, 44, 54, 5, 26, 30, 16, 52, 54, 16, 64, 5, 5, 3, 654, 1826, 3084, 3532, 4780, 5548, 6453, 7816, 654, 1286, 2340, 3930, 4237, 6034, 6701, 7291, 654, 2106, 2875, 4121, 4921, 5767, 6964, 8262, 654, 2060, 2221, 3692, 4193, 5942, 7069, 7563, 654, 2106, 2833, 3227, 4700, 5767, 6291, 8102, 127, 2013, 2565, 3277, 5143, 6175, 6876, 8118, 518, 1424, 2565, 3931, 4700, 5863, 7098, 7303, 228, 2097, 2359, 3771, 5135, 5586, 6307, 7473, 149, 2118, 2830, 3566, 5179, 5483, 6889, 7420, 640, 1349, 2994, 4124, 4701, 5245, 6848, 7393, 664, 1564, 3049, 4128, 4421, 5633, 6923, 7778, 930, 2089, 2172, 3631, 4790, 5695, 7067, 7557, 1006, 1695, 2939, 3894, 5143, 5658, 6260, 7311, 1088, 1807, 2513, 3844, 4987, 5924, 6235, 7821, 1003, 1695, 2648, 3276, 4209, 6041, 6724, 7826, 779, 1695, 2960, 3533, 4381, 5379, 6871, 7727, 914, 1508, 2980, 4027, 5159, 5821, 6338, 7677, 818, 1620, 2996, 3827, 5061, 5832, 6810, 7570, 878, 2046, 2709, 3905, 4374, 6050, 6607, 7555, 489, 1881, 2921, 3798, 4996, 5982, 7087, 7628, 831, 1695, 2432, 3853, 4998, 6160, 6849, 7706, 987, 1264, 2508, 3425, 4790, 6187, 7099, 7404, 668, 1637, 2706, 3305, 4916, 5352, 6716, 7878, 1036, 1692, 2725, 3329, 4708, 5366, 7146, 7755, 781, 1834, 2429, 3792, 4901, 6194, 6813, 8263, 249, 1782, 2271, 3596, 4335, 6039, 6663, 7920, 884, 1302, 2327, 3169, 4724, 5907, 6663, 7899, 725, 1942, 2312, 3882, 5009, 5993, 7229, 7880, 887, 1402, 2519, 3384, 4832, 5980, 6604, 7312, 150, 1269, 2401, 3703, 4588, 5664, 6958, 8012, 1025, 1510, 2901, 4078, 4672, 5777, 6517, 7570, 643, 1171, 2311, 4143, 5020, 5760, 6448, 8074, 896, 1496, 2258, 3925, 4364, 5605, 6954, 7737, 293, 1529, 2701, 3567, 4364, 6199, 6875, 7794, 508, 1119, 2258, 3218, 4604, 6087, 6857, 7481, 508, 1294, 2687, 3332, 4222, 6053, 6991, 7593, 508, 1294, 2316, 3694, 4815, 5791, 6494, 7935, 247, 1183, 2591, 3663, 4961, 5578, 7143, 7785, 993, 1183, 2800, 3626, 5094, 5602, 7154, 8081, 673, 1789, 2639, 3411, 4564, 5624, 6731, 7712, 840, 1183, 3023, 4138, 4804, 5287, 6658, 7983, 884, 1183, 3140, 3332, 5036, 5858, 6770, 7594, 249, 2088, 2869, 3684, 4213, 5846, 6610, 7926, 363, 1789, 3070, 3672, 4314, 5369, 7123, 7423, 262, 1794, 2972, 4156, 4885, 5660, 6466, 7529, 981, 1411, 2764, 4133, 4854, 5479, 7140, 7643, 1024, 1561, 2332, 3279, 4585, 5553, 7023, 7303, 1024, 1118, 2940, 3953, 5130, 5866, 6759, 7264, 692, 1637, 2872, 3596, 5115, 5505, 6361, 8193, 405, 1562, 2380, 3917, 4470, 5223, 6770, 8132, 684, 1750, 2970, 3886, 5058, 6080, 6996, 8066, 833, 1635, 2925, 3676, 4877, 5413, 7207, 8191, 923, 1623, 2802, 4126, 5040, 5204, 7024, 7547, 731, 1490, 2934, 3992, 4573, 6208, 6603, 7913, 692, 1183, 3103, 4087, 4545, 6052, 6439, 7336, 271, 1183, 2937, 3217, 4511, 5332, 6934, 8143, 266, 2050, 2152, 3882, 4453, 6099, 7130, 7800, 150, 1926, 2479, 3934, 4598, 5717, 7150, 8155, 784, 1440, 2313, 3614, 4470, 6101, 6912, 7810, 504, 1547, 2687, 3637, 4743, 5604, 6898, 7367, 1025, 1867, 2506, 4053, 4676, 5747, 6732, 7254, 1025, 1624, 2932, 3605, 4371, 5862, 6668, 7473, 1025, 1913, 3064, 3916, 4509, 5899, 7198, 8104, 211, 2001, 3092, 3440, 4509, 6175, 7109, 8012, 211, 1924, 2895, 3440, 4509, 5694, 6980, 8047, 610, 1407, 2503, 4068, 5106, 6146, 6579, 8237, 887, 1403, 2709, 3201, 4859, 6191, 6903, 7908, 887, 1946, 2486, 3472, 4723, 5297, 6476, 7513, 913, 1494, 2542, 3924, 4861, 5810, 7192, 8034, 1057, 1706, 2688, 3421, 4616, 5819, 6267, 7856, 1084, 1919, 2953, 3709, 4228, 6026, 7096, 7954, 1090, 1706, 2151, 3298, 4437, 6114, 6739, 7559, 981, 1706, 2696, 4082, 4945, 5607, 7083, 8241, 913, 2107, 2271, 3986, 4228, 5385, 6587, 7531, 403, 2125, 2750, 3550, 5007, 6002, 6507, 7473, 228, 1623, 2947, 3586, 4340, 5223, 7058, 7707, 699, 1935, 2181, 4157, 4611, 5918, 6348, 8130, 654, 1345, 2629, 3753, 4638, 6182, 7192, 7715, 654, 1826, 2792, 3777, 4877, 5767, 6251, 7641, 518, 2065, 3133, 3827, 4267, 5202, 6966, 7509, 518, 2118, 3133, 3933, 5168, 6175, 7152, 7664, 228, 2106, 3026, 3376, 5007, 6041, 6338, 7260, 543, 2127, 2282, 3777, 5160, 6175, 6338, 7477, 859, 2127, 3133, 3891, 5079, 6097, 7232, 8237, 186, 2111, 2792, 3704, 4877, 5378, 6677, 7806, 860, 1528, 2806, 3550, 4398, 6139, 7077, 7677, 488, 1622, 2806, 3550, 4398, 6139, 7077, 8147, 488, 1528, 3117, 3367, 4624, 6149, 7124, 8223, 818, 1648, 2914, 3893, 4624, 6129, 6972, 7766, 915, 1528, 2806, 3825, 4798, 6186, 6794, 7723, 510, 1804, 2957, 4068, 4980, 5612, 7239, 7421, 4, 2 ]
[ 1, 16, 54, 30, 5, 17, 55, 51, 16, 52, 5, 28, 45, 52, 47, 5, 41, 33, 52, 66, 5, 52, 20, 64, 66, 5, 16, 54, 30, 5, 52, 57, 54, 52, 47, 5, 44, 54, 5, 43, 45, 78, 5, 64, 66, 63, 39, 54, 50, 5, 64, 35, 23, 54, 30, 44, 55, 78, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 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, 186, 2111, 3065, 3825, 5038, 5635, 7226, 8196, 555, 1648, 2970, 3891, 4555, 6205, 6979, 8267, 610, 1375, 3133, 3370, 4459, 5558, 6402, 7383, 511, 1821, 2972, 3171, 4597, 6217, 7129, 7580, 556, 1385, 2361, 4133, 4459, 5655, 6881, 7930, 632, 1251, 2693, 3429, 4734, 6125, 6308, 7702, 678, 2085, 2553, 4107, 4492, 5746, 7096, 7852, 731, 2095, 2868, 4153, 4379, 5204, 6286, 8236, 547, 1637, 2868, 4153, 4433, 5974, 7157, 7941, 970, 1315, 2990, 4120, 4536, 5802, 6717, 7559, 938, 2090, 2455, 4096, 4374, 5344, 7237, 8023, 304, 1415, 2905, 4078, 4859, 5854, 7207, 7570, 1080, 1210, 3141, 3904, 4699, 5970, 7063, 7426, 668, 1679, 3137, 3659, 4759, 6142, 6434, 7944, 835, 1199, 2934, 3171, 4760, 5769, 7078, 7604, 428, 1305, 2540, 3304, 4469, 5443, 6453, 7286, 547, 1852, 2173, 3300, 4238, 5946, 6506, 8177, 970, 1982, 2894, 3502, 5199, 5235, 6826, 7551, 288, 1407, 2543, 3176, 5129, 5459, 6272, 8054, 132, 2024, 2754, 3945, 4861, 6103, 6830, 7485, 935, 1175, 2899, 3393, 5080, 5981, 7218, 7658, 427, 1992, 3006, 3932, 5153, 6205, 7239, 7658, 132, 1992, 2803, 3932, 4553, 5573, 7120, 7876, 678, 1585, 2709, 3206, 4890, 5705, 6348, 7957, 485, 1917, 2639, 3185, 4727, 5209, 6847, 8079, 831, 2075, 2659, 3842, 4437, 6080, 7069, 7337, 1008, 1190, 2137, 4073, 4487, 5227, 6284, 8236, 332, 1996, 2173, 4128, 4984, 5244, 7158, 7804, 975, 1996, 2321, 3623, 4205, 5636, 6969, 7873, 1024, 1305, 3040, 3623, 4270, 5872, 6936, 7840, 304, 1777, 2493, 3224, 4757, 6171, 6611, 7438, 211, 1534, 2798, 4097, 5166, 5305, 7010, 7256, 211, 1924, 2989, 3866, 4291, 6063, 7218, 8237, 211, 1581, 3006, 4166, 4276, 5630, 6996, 8188, 684, 1620, 3038, 3866, 4895, 5994, 7149, 7753, 804, 1791, 2895, 4108, 5104, 5534, 6688, 7806, 308, 1218, 3095, 4085, 5038, 5210, 7230, 7720, 804, 1508, 2947, 3188, 4592, 5832, 6688, 8266, 1056, 2125, 3095, 4071, 5061, 5635, 6996, 7806, 308, 1791, 2924, 3188, 4583, 6081, 6604, 8266, 247, 1545, 2144, 3441, 5050, 5386, 7017, 7627, 363, 1586, 2561, 3237, 4350, 5304, 7242, 8170, 574, 1510, 2529, 3434, 4226, 5570, 6313, 8045, 381, 1633, 2563, 3770, 5124, 6153, 6763, 7921, 862, 1826, 2764, 3356, 4720, 5935, 6354, 7304, 1080, 1137, 2961, 3187, 5031, 5615, 7172, 7442, 1080, 1682, 3040, 3981, 5031, 5643, 7242, 7350, 386, 1440, 2540, 3464, 5022, 6037, 6446, 7250, 1024, 1740, 2607, 3601, 5017, 5611, 6763, 7609, 1024, 1440, 2940, 3233, 4887, 6066, 6308, 7383, 995, 1510, 2829, 3905, 4298, 5579, 6925, 7313, 397, 1832, 2233, 3623, 4999, 5437, 7019, 7784, 397, 2047, 2262, 3764, 4755, 5984, 6286, 7688, 986, 2034, 2222, 3232, 4671, 5976, 6580, 8241, 103, 1231, 2497, 3500, 4218, 5781, 6309, 8034, 103, 1315, 2923, 3363, 4849, 6149, 6422, 7303, 103, 2047, 2565, 3756, 5145, 5538, 6579, 8107, 678, 1561, 2895, 4171, 4423, 5935, 6302, 7968, 940, 1773, 2317, 4113, 5075, 5844, 7162, 8262, 789, 2030, 2971, 3732, 4287, 5677, 6979, 7870, 899, 2030, 2340, 3376, 5153, 6222, 6740, 7311, 789, 1886, 2554, 3364, 5143, 5573, 6776, 8080, 256, 2030, 2925, 4145, 4900, 5694, 6883, 7753, 256, 2030, 3135, 3761, 5163, 5661, 6840, 8266, 518, 1620, 3000, 3680, 5088, 5350, 7132, 7563, 878, 2111, 2946, 3951, 4536, 5708, 6630, 7563, 1047, 2097, 2490, 4095, 4179, 5444, 6302, 7831, 318, 1472, 2987, 3732, 4906, 5468, 7157, 8124, 973, 1507, 2487, 3733, 4746, 5434, 6538, 8038, 458, 1630, 3055, 3755, 4931, 5594, 6881, 8226, 736, 1171, 2725, 3570, 4470, 6015, 6829, 7291, 736, 1691, 2693, 3559, 5031, 5692, 6309, 8190, 840, 1658, 2693, 3882, 5083, 6145, 7156, 7254, 262, 1385, 2173, 3558, 4421, 6021, 7104, 8135, 1011, 1318, 2790, 3520, 4823, 5344, 7218, 7401, 1011, 1547, 2313, 3400, 4467, 5410, 6898, 7810, 678, 1251, 2360, 3783, 4861, 5332, 6884, 8267, 951, 1705, 3095, 3400, 4872, 5493, 7144, 7879, 510, 2046, 2508, 4097, 5080, 5832, 6884, 7664, 288, 2063, 2895, 3645, 5104, 5901, 7162, 8267, 779, 1620, 3007, 3188, 4822, 6131, 7006, 8076, 1056, 1750, 2895, 3645, 5061, 5241, 6588, 7806, 684, 1750, 2960, 3982, 5165, 5968, 6972, 8260, 512, 1675, 2803, 4114, 5166, 5241, 6972, 7421, 1056, 1850, 2957, 3803, 4435, 6103, 6668, 8179, 308, 1791, 3095, 3945, 5038, 6205, 6515, 8267, 663, 1363, 3038, 3206, 4387, 5968, 6272, 7723, 980, 1585, 2365, 3961, 5104, 5761, 6771, 7949, 831, 2024, 2667, 3773, 4276, 5586, 7246, 7641, 610, 1797, 2636, 3258, 4808, 5836, 6850, 7313, 401, 2126, 2536, 4055, 4981, 6051, 6811, 8267, 663, 1503, 3003, 3955, 4877, 5663, 7114, 7905, 424, 1503, 2771, 3950, 5084, 5437, 6615, 7448, 663, 1621, 3038, 3752, 5135, 5493, 6980, 8261, 424, 1183, 2631, 3771, 4691, 5311, 7114, 7620, 614, 2050, 3075, 3595, 4881, 5677, 7221, 8019, 803, 2095, 3107, 3810, 4963, 6092, 7144, 8159, 277, 1843, 2348, 3263, 4809, 6118, 6646, 7810, 531, 2050, 3097, 3894, 4805, 5990, 6645, 7758, 1008, 1156, 2173, 3421, 4331, 5931, 6836, 8030, 1067, 1438, 2721, 4029, 4480, 5777, 6650, 7969, 1030, 2089, 2840, 3653, 4982, 5255, 6348, 7905, 1030, 1499, 2347, 3847, 4603, 5344, 6348, 7500, 610, 1170, 2866, 3777, 4234, 5694, 6555, 7540, 1025, 1334, 2791, 3999, 4279, 5550, 6605, 8085, 373, 1179, 3008, 3950, 5165, 5966, 6626, 7895, 390, 1833, 2465, 4027, 5060, 5498, 6967, 8242, 512, 1620, 3006, 4108, 4857, 6051, 6809, 8195, 132, 1467, 2340, 3803, 5153, 5883, 7160, 8260, 617, 1596, 2659, 3516, 5153, 5684, 6338, 7677, 256, 2002, 2163, 3592, 5138, 5514, 6788, 8060, 518, 2002, 2830, 3680, 4611, 5218, 6311, 7524, 228, 1345, 2316, 4125, 4536, 6189, 6895, 7664, 240, 2002, 2316, 3352, 5097, 5730, 6491, 7260, 240, 1814, 3139, 4006, 5151, 5515, 6291, 7677, 789, 1645, 2791, 3873, 4387, 5580, 6612, 7706, 419, 1862, 2941, 3798, 5179, 5792, 7152, 7715, 488, 2017, 2806, 3825, 5138, 6149, 6996, 8147, 488, 2017, 2781, 3914, 4624, 5901, 6338, 7766, 419, 2017, 2806, 4125, 4888, 5677, 7201, 7766, 899, 1961, 2282, 3955, 4555, 5515, 6901, 8016, 510, 1523, 2806, 4145, 5007, 5219, 6338, 7557, 335, 1349, 2989, 3584, 5084, 5687, 7222, 7752, 1101, 1349, 3126, 3630, 4829, 6086, 6267, 7561, 725, 1421, 2951, 3369, 4544, 5867, 7096, 7765, 504, 1499, 2951, 3639, 5169, 6157, 7172, 7263, 643, 1331, 2783, 4127, 5138, 6170, 6921, 7256, 1081, 2048, 2959, 3908, 4592, 5700, 6852, 7602, 955, 1860, 3008, 3645, 4743, 5788, 6668, 8069, 731, 1363, 2895, 3679, 4359, 5684, 6765, 7631, 643, 1717, 2391, 3649, 4983, 5892, 7149, 8080, 150, 1255, 2728, 4150, 5058, 5776, 6630, 8209, 1025, 1773, 2321, 3201, 4856, 6007, 6979, 7255, 643, 1773, 3098, 4150, 4925, 5694, 6852, 7887, 887, 1721, 2591, 3932, 5115, 5210, 6589, 7570, 150, 2036, 3080, 3999, 4225, 5700, 7218, 7582, 887, 1299, 3092, 3560, 4859, 5713, 6966, 7312, 887, 1786, 3092, 4128, 4763, 5704, 6966, 7846, 887, 1721, 3092, 3376, 4859, 6014, 6347, 7366, 887, 1721, 3092, 3376, 4324, 6220, 7173, 7706, 887, 1833, 3092, 4128, 4764, 5699, 6830, 8209, 887, 1129, 2975, 3222, 4982, 5699, 6910, 8097, 536, 1389, 2173, 4102, 4881, 6060, 7019, 7599, 462, 1299, 2896, 3251, 5148, 5745, 7085, 7527, 443, 1531, 2881, 3187, 5114, 5601, 6287, 8229, 826, 1969, 2751, 3356, 5031, 5435, 6287, 7975, 535, 1838, 2847, 3707, 4298, 5982, 6873, 8201, 826, 1833, 2261, 3605, 4589, 5555, 7043, 8201, 826, 1499, 3018, 3751, 5185, 5522, 6933, 7739, 826, 2053, 2655, 3413, 4195, 5209, 6348, 7863, 887, 2070, 2273, 3521, 4770, 5512, 6698, 7627, 104, 1669, 2254, 3943, 4690, 5245, 7237, 7765, 1025, 1269, 3061, 3442, 4437, 6145, 6388, 7383, 778, 1540, 2750, 3778, 4595, 6154, 6765, 7959, 850, 1640, 2429, 3668, 4933, 5905, 6569, 7298, 778, 1685, 3088, 3706, 5129, 5398, 6281, 7821, 831, 1778, 3033, 3402, 4334, 6024, 6540, 7992, 1025, 1399, 2716, 3363, 4343, 5899, 7168, 7508, 887, 1581, 2515, 4096, 4981, 5978, 6476, 7398, 641, 1116, 2925, 3233, 4363, 5943, 6898, 7962, 1084, 1227, 2613, 3338, 4993, 5706, 6484, 7378, 1090, 1821, 2717, 3498, 4319, 5759, 6478, 7941, 610, 1878, 2661, 3717, 4536, 5289, 6696, 7570, 913, 1897, 2944, 4031, 4337, 5494, 6639, 7959, 970, 1623, 2895, 4005, 4597, 6008, 7157, 8031, 938, 1199, 2156, 3870, 4881, 5573, 6914, 7957, 620, 1826, 3092, 4082, 4364, 5579, 6544, 7260, 1100, 1826, 3018, 3610, 4992, 5325, 6485, 8197, 1100, 1507, 2751, 4015, 4734, 5570, 6894, 8193, 326, 1472, 3001, 4015, 4420, 5277, 6828, 7673, 862, 1397, 2647, 3943, 4216, 5641, 6606, 7520, 491, 1798, 2514, 3999, 4750, 5775, 6625, 8197, 221, 1545, 2718, 3741, 4750, 5620, 6908, 7376, 862, 1942, 2655, 4039, 4739, 5745, 7137, 7910, 487, 1397, 2971, 3276, 4606, 5361, 6838, 8132, 234, 1289, 3018, 3792, 5122, 5594, 6803, 7955, 620, 1164, 3018, 3964, 4321, 5449, 6966, 7773, 643, 2024, 2801, 3732, 4298, 6135, 6740, 7607, 804, 1847, 2946, 3623, 5113, 6187, 6414, 7633, 818, 2091, 2729, 4166, 4630, 5613, 7120, 7476, 935, 1545, 3064, 3827, 4622, 6205, 6786, 7806, 818, 1847, 3021, 3893, 4888, 6129, 6752, 7806, 555, 1147, 3110, 3710, 4512, 5635, 7207, 8237, 859, 1695, 2792, 4171, 4549, 6163, 6589, 7717, 859, 1345, 2542, 4071, 5160, 5515, 6752, 7386, 617, 1623, 3147, 3838, 4673, 5548, 6604, 7559, 617, 1468, 2370, 4096, 5083, 5210, 6584, 7537, 617, 2127, 2370, 4149, 5135, 5586, 7103, 8126, 617, 1372, 2959, 3930, 4890, 5548, 6584, 7865, 617, 1147, 2941, 3930, 5079, 5296, 6677, 8130, 617, 2106, 2941, 4068, 5130, 6149, 7207, 8126, 617, 2127, 2370, 4068, 4870, 5809, 7069, 7485, 617, 1695, 2370, 3838, 4716, 6120, 7120, 8126, 617, 1147, 2251, 3555, 5159, 5660, 7103, 7716, 617, 1750, 3021, 3550, 4996, 5689, 6810, 7723, 617, 1695, 2370, 3873, 5160, 5241, 7226, 8262, 105, 1695, 2792, 3550, 4890, 6137, 7120, 8164, 859, 2034, 3000, 3550, 4267, 5276, 6677, 8261, 555, 1289, 3144, 3827, 5079, 5677, 6589, 8164, 555, 1147, 2970, 3391, 5166, 6081, 7006, 7865, 488, 1147, 2806, 4113, 5088, 5901, 6996, 8147, 488, 1622, 2914, 3893, 4624, 6139, 7120, 7766, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 419, 1623, 3021, 4071, 5076, 5767, 7129, 8237, 715, 1881, 3033, 3764, 4877, 6041, 6709, 7904, 318, 1550, 2355, 3695, 5045, 5904, 7094, 8193, 184, 1942, 2692, 3191, 4635, 5972, 7043, 7442, 247, 1118, 2309, 3169, 5111, 6034, 7229, 7524, 862, 1140, 3116, 3307, 5047, 5875, 7165, 7365, 160, 1463, 2940, 4031, 4212, 5810, 6849, 7868, 1033, 1943, 2868, 3991, 4586, 5352, 7007, 7954, 1090, 1139, 2924, 3375, 5017, 5678, 7030, 7882, 826, 1971, 2800, 3292, 5069, 5477, 6286, 8106, 692, 1568, 2332, 3751, 4746, 5629, 7135, 8019, 569, 1112, 2261, 3870, 4995, 5276, 6720, 8028, 404, 1778, 2288, 4007, 4734, 6204, 7149, 8023, 850, 1347, 2222, 3363, 4604, 6074, 6655, 8163, 993, 1905, 3029, 3331, 5085, 6213, 6309, 7934, 923, 1552, 2502, 3562, 5100, 5613, 6741, 8266, 715, 1606, 2561, 3770, 4510, 6118, 6563, 7912, 225, 2111, 2500, 3566, 5100, 5787, 6497, 7865, 195, 1311, 3008, 3706, 5089, 5830, 7047, 7480, 195, 1570, 2904, 3217, 4859, 5734, 6708, 7948, 195, 1826, 2691, 3574, 4522, 5830, 7135, 7574, 518, 2061, 2987, 3746, 5077, 6189, 7152, 8262, 654, 1789, 2775, 3933, 4859, 5514, 6607, 8266, 228, 1345, 2473, 3332, 4996, 5594, 7152, 7781, 256, 2002, 2969, 3933, 5193, 6175, 7100, 7715, 789, 1289, 2221, 3171, 4764, 5438, 6515, 7732, 859, 1468, 2992, 4166, 5134, 6110, 7069, 7816, 859, 1648, 2669, 4166, 4611, 5515, 7043, 8080, 153, 1570, 2781, 4006, 5157, 5873, 6810, 7570, 541, 2065, 2669, 4085, 4429, 5515, 6565, 7776, 878, 1736, 2611, 3570, 4184, 6119, 6443, 7519, 579, 1227, 3026, 4151, 4351, 5873, 6668, 7815, 319, 1509, 3092, 3171, 4351, 5286, 6744, 7676, 1057, 1499, 2608, 3171, 5000, 5874, 6882, 7248, 876, 2009, 2848, 4060, 5049, 5960, 6251, 8110, 1019, 1630, 2848, 3465, 4534, 5459, 6800, 7617, 994, 1932, 2378, 3915, 4982, 5512, 6562, 7612, 326, 1636, 2506, 4073, 4592, 5435, 6827, 8129, 1080, 1593, 3029, 3869, 5148, 5992, 7175, 7298, 995, 1808, 3018, 3714, 4717, 5639, 6883, 8097, 938, 1550, 3018, 3309, 4321, 6167, 6987, 8087, 1003, 1942, 2661, 4007, 4596, 5481, 6813, 7270, 487, 1548, 2655, 3366, 4437, 5827, 6625, 7902, 545, 1972, 2487, 4103, 4636, 6077, 6603, 7574, 778, 1550, 2751, 3361, 4802, 5745, 6625, 8245, 1090, 1942, 2273, 3649, 4565, 5603, 6892, 7363, 826, 1550, 3010, 4037, 4663, 5507, 7229, 8213, 104, 1660, 2593, 4096, 4419, 5907, 6603, 7574, 778, 2028, 2610, 3502, 4494, 6002, 7244, 7297, 1090, 1275, 2440, 4152, 5142, 6222, 6809, 7557, 610, 1809, 2887, 3961, 4586, 5767, 6331, 7777, 1090, 1363, 3021, 3807, 4556, 6183, 6571, 8071, 356, 2067, 2239, 3929, 5169, 5978, 6605, 7547, 118, 1695, 2708, 3812, 4381, 5942, 6492, 7260, 757, 1695, 2156, 4021, 4255, 5963, 6683, 7957, 617, 1286, 2791, 4021, 4701, 5548, 6892, 8179, 859, 1286, 2781, 3564, 5134, 5219, 7168, 7677, 488, 1684, 2729, 3367, 4912, 5844, 7120, 8147, 860, 2017, 2806, 3803, 4583, 5892, 7201, 8260, 818, 2017, 3110, 3803, 4583, 6211, 7077, 8267, 488, 1528, 2806, 3893, 4624, 6139, 7201, 7766, 488, 1622, 2914, 3825, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1528, 2164, 3893, 4624, 5635, 7201, 8223, 488, 1528, 2914, 3893, 5038, 5241, 7124, 7766, 105, 2111, 2340, 4145, 5079, 5413, 6604, 7664, 225, 2111, 2565, 3662, 4267, 5795, 7000, 7723, 225, 1570, 2473, 3564, 5143, 5428, 6717, 7717, 225, 2002, 2473, 3838, 5079, 6034, 6575, 8076, 518, 2002, 3131, 3931, 5138, 5678, 6844, 8262, 225, 1736, 2791, 3595, 5053, 5385, 7069, 7537, 757, 1468, 2969, 3928, 4536, 5550, 6562, 7869, 223, 1586, 2675, 4092, 5157, 6135, 6465, 7488, 840, 1402, 2555, 3375, 4800, 5938, 6965, 7919, 1067, 1967, 2528, 3732, 4845, 6002, 6985, 7355, 643, 1682, 2511, 3728, 4788, 5982, 6430, 7571, 887, 1324, 2707, 4119, 4815, 5796, 7198, 7312, 104, 1660, 2977, 3998, 4953, 6174, 6644, 7686, 1071, 1567, 2755, 3819, 4550, 6137, 6649, 7424, 776, 1139, 2332, 3851, 4427, 5227, 6732, 7371, 940, 1978, 2396, 3819, 4781, 6164, 7147, 7570, 424, 1675, 2866, 3761, 5061, 5761, 7111, 7458, 113, 1873, 2598, 3767, 4720, 5279, 7023, 7365, 826, 1725, 2348, 3158, 4332, 5823, 6324, 8039, 895, 1886, 2432, 3434, 4799, 5768, 6670, 8012, 793, 1828, 2810, 4015, 5111, 5304, 6226, 8117, 1040, 1826, 2741, 3384, 4205, 6124, 6348, 7765, 113, 1828, 2232, 3561, 5019, 5934, 6802, 8032, 547, 1828, 2352, 3813, 4604, 5506, 7049, 7761, 938, 1897, 2536, 4073, 4374, 5648, 6918, 8070, 641, 1463, 3112, 4145, 4508, 5903, 6787, 7707, 1024, 1598, 2515, 3709, 4701, 6195, 7217, 7779, 504, 1633, 2975, 3908, 5085, 5474, 6265, 7680, 970, 1858, 2396, 3183, 4713, 6001, 6361, 7791, 970, 1881, 2975, 3475, 5129, 6051, 7168, 7715, 1090, 1146, 2750, 4151, 4267, 5357, 7019, 7641, 424, 1463, 2771, 3361, 4343, 5899, 7207, 8077, 663, 1463, 2980, 3756, 4901, 5978, 6413, 7386, 750, 2095, 2794, 3655, 4536, 5911, 6719, 7410, 678, 1455, 2939, 3771, 5095, 6195, 6871, 7717, 678, 1141, 2778, 3962, 4595, 5765, 7047, 7720, 940, 1139, 2924, 4145, 4374, 6146, 6646, 7260, 1037, 2072, 2542, 3498, 5165, 5536, 7129, 7485, 913, 1601, 2843, 4115, 4734, 5984, 6704, 7262, 668, 1397, 2990, 4168, 4543, 6001, 7133, 7930, 632, 1286, 2725, 3485, 4571, 5497, 6545, 7835, 918, 1942, 2794, 3356, 5142, 6213, 6531, 7933, 807, 2034, 2456, 3764, 4993, 5810, 6442, 8073, 970, 1706, 2492, 3741, 4953, 5481, 6719, 7799, 1081, 1455, 2426, 3430, 5111, 5300, 7160, 7384, 663, 1504, 2440, 3398, 4728, 5684, 6625, 7598, 831, 1747, 2436, 4027, 5026, 6175, 7244, 7918, 1035, 1831, 2470, 3399, 4536, 5765, 6254, 7656, 1090, 1992, 2946, 3229, 4392, 6120, 7033, 7887, 778, 1935, 2135, 3543, 5169, 5641, 7207, 7962, 1090, 1110, 2582, 3975, 4622, 5363, 7023, 8079, 610, 1110, 3064, 4145, 5095, 5981, 7132, 7641, 405, 1992, 3026, 3900, 5120, 6195, 7230, 7485, 543, 2068, 2156, 4026, 4213, 5344, 6286, 8061, 228, 1510, 2360, 3674, 5124, 5276, 6717, 7919, 654, 2111, 2880, 4166, 4983, 5556, 6965, 7664, 240, 2002, 2725, 4083, 4555, 6187, 7160, 8214, 240, 2002, 2944, 3770, 4638, 5296, 6749, 8126, 617, 2118, 2918, 3751, 5079, 5981, 6962, 7717, 555, 1684, 2560, 4145, 5135, 5767, 7090, 7717, 186, 2111, 2833, 3914, 5079, 5677, 6584, 7476, 860, 2017, 2806, 3803, 4583, 6139, 7124, 7303, 860, 1528, 2806, 3825, 4624, 6139, 7226, 8147, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 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, 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, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 43, 73, 5, 64, 33, 52, 30, 16, 53, 5, 43, 14, 30, 5, 33, 54, 47, 67, 46, 55, 5, 28, 17, 66, 5, 50, 26, 16, 54, 66, 64, 5, 5, 3, 488, 1468, 2833, 4174, 4387, 5219, 7124, 7664, 488, 1468, 2833, 3374, 5088, 5963, 7124, 7732, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7715, 142, 1528, 2914, 3825, 4704, 6139, 7226, 8196, 488, 1528, 2781, 3893, 4551, 5635, 6786, 8223, 132, 1648, 3128, 4006, 4366, 5892, 7207, 8076, 571, 1833, 2163, 3975, 4535, 6171, 7114, 8262, 204, 1717, 2655, 3649, 5092, 5639, 6717, 8085, 149, 1318, 2697, 3987, 4344, 5905, 6498, 8047, 948, 1234, 2407, 3475, 4407, 6102, 6816, 7899, 731, 1621, 2282, 3973, 5141, 6160, 7198, 7672, 223, 2091, 2282, 3915, 4543, 5565, 6273, 7501, 1033, 1566, 2867, 3946, 5164, 6110, 7033, 7865, 1025, 1826, 2555, 3159, 4344, 5840, 6812, 7743, 1102, 1171, 2728, 3298, 4807, 5308, 6426, 7900, 568, 1171, 2149, 3391, 4529, 5303, 6439, 8261, 225, 2060, 2188, 3533, 5077, 5446, 6632, 8107, 225, 2002, 2355, 4111, 5040, 5586, 6540, 7772, 225, 1736, 2180, 3799, 4638, 6189, 6798, 7664, 228, 1864, 2971, 3827, 4536, 5443, 6607, 7594, 654, 2002, 2359, 4132, 5135, 5218, 6313, 7831, 654, 1826, 2468, 3754, 5135, 6189, 6515, 7671, 654, 1826, 2468, 3838, 5135, 5590, 6338, 7462, 240, 1452, 2869, 4174, 4622, 6160, 6338, 8132, 240, 1468, 2554, 3555, 5128, 5548, 6752, 8126, 518, 1750, 2542, 3277, 4580, 5514, 7152, 8227, 654, 1300, 2468, 3754, 4775, 5957, 6835, 8198, 617, 1623, 2554, 3595, 5089, 6137, 7129, 7563, 223, 1918, 2271, 3796, 4764, 5433, 6593, 7336, 840, 1349, 2292, 3957, 4862, 5421, 6501, 8149, 1017, 1812, 2365, 3193, 4384, 5819, 6529, 8024, 1023, 1496, 2509, 3824, 4440, 5697, 6960, 7560, 862, 1149, 2953, 3466, 4466, 5828, 7140, 7395, 620, 1394, 2961, 3332, 4440, 5226, 6612, 7852, 1024, 1740, 2626, 3981, 4842, 5587, 6806, 7465, 547, 1305, 2173, 3785, 4536, 6077, 7212, 8000, 547, 1183, 2785, 4036, 4594, 5624, 6899, 7313, 970, 1843, 2274, 3692, 4761, 5624, 6366, 8104, 970, 2050, 2829, 3298, 4344, 5335, 6360, 7823, 504, 1740, 2937, 3748, 5151, 5796, 7104, 8052, 150, 1682, 2173, 4055, 4664, 5366, 6872, 7484, 643, 1248, 3085, 3950, 4675, 6125, 6467, 7679, 1081, 1248, 3053, 3679, 4870, 5548, 6426, 7859, 390, 2001, 2352, 4150, 4888, 5475, 7045, 7480, 1025, 1141, 3038, 4000, 4982, 5415, 7033, 7865, 386, 1828, 2422, 4010, 4319, 6043, 7002, 7695, 1023, 1828, 3036, 3892, 4894, 5583, 6999, 7475, 536, 1326, 2868, 4065, 4467, 6164, 7242, 7414, 887, 1227, 3033, 3727, 4575, 5573, 6959, 8261, 887, 1850, 2142, 3991, 4592, 5952, 6382, 8129, 104, 1773, 2740, 3605, 5022, 5538, 6734, 7468, 610, 1141, 2389, 3605, 4792, 6123, 7038, 7643, 1037, 1992, 2709, 3990, 5000, 5684, 7041, 8016, 1049, 2065, 2458, 3643, 4529, 6117, 6470, 7527, 952, 2065, 2238, 3578, 4719, 5955, 6529, 7991, 1052, 1665, 2987, 3454, 4389, 5955, 6984, 7248, 1040, 1349, 2873, 3493, 4716, 6178, 6638, 8033, 900, 2036, 2312, 4007, 5188, 5366, 7014, 8109, 774, 1296, 2365, 3370, 5188, 5346, 6889, 7527, 1041, 1821, 2464, 3319, 4364, 5578, 6921, 7670, 803, 1460, 2725, 4009, 4818, 5919, 6576, 7604, 1102, 1349, 3101, 3960, 5101, 5755, 6847, 7869, 804, 1791, 2581, 3671, 4276, 5797, 7111, 8070, 308, 1916, 3008, 3226, 4870, 5983, 6996, 8083, 984, 1684, 2947, 4115, 4630, 5610, 6283, 8237, 1059, 1695, 2341, 3568, 5120, 5792, 7004, 7537, 448, 1982, 2869, 3792, 4501, 5204, 6883, 7778, 886, 1721, 2355, 3225, 4552, 5874, 6476, 7773, 964, 1808, 3116, 3894, 4953, 5248, 7039, 7683, 1052, 1640, 2692, 3329, 5042, 5315, 7183, 8150, 319, 1553, 2715, 4000, 4913, 5610, 6623, 7885, 881, 1820, 3040, 4027, 4321, 5863, 6678, 7953, 993, 1695, 3037, 3329, 4330, 6177, 7131, 7549, 223, 1812, 2803, 3394, 4918, 5761, 6393, 7807, 970, 1234, 2392, 3917, 4942, 5339, 6830, 7535, 504, 1206, 2926, 3496, 4189, 5863, 7142, 7664, 1036, 1637, 2459, 4138, 4400, 5980, 7232, 7442, 668, 1834, 2994, 3182, 4195, 5633, 7056, 8248, 807, 1385, 2710, 3970, 4627, 5339, 7114, 7661, 1029, 1948, 2282, 3172, 5169, 5507, 7017, 7848, 887, 1942, 2659, 4096, 4621, 5742, 6768, 7929, 308, 1369, 3032, 3963, 5125, 6165, 7098, 7570, 475, 1963, 2947, 4085, 4822, 5436, 7017, 8260, 1097, 1175, 2356, 3516, 4980, 6103, 6443, 8188, 899, 1116, 2128, 3188, 4980, 5436, 6844, 8076, 708, 2111, 3086, 3657, 4949, 5767, 6574, 7476, 752, 1871, 3008, 3891, 4530, 5526, 6604, 8046, 936, 2118, 2672, 4030, 4455, 6067, 7219, 7890, 936, 1550, 2232, 3915, 4455, 5341, 7030, 7772, 936, 1550, 3145, 4162, 4604, 5476, 7067, 7629, 993, 1550, 2210, 3762, 4800, 5509, 7002, 7688, 826, 1858, 2258, 3937, 4189, 5978, 6574, 8213, 826, 1858, 2868, 3454, 5144, 6010, 7051, 8209, 826, 1141, 2436, 3253, 4592, 6070, 6908, 7508, 826, 1269, 2595, 3162, 5074, 5700, 6402, 7669, 831, 1244, 2210, 3941, 4426, 6146, 6728, 7839, 1025, 1370, 2944, 4124, 4777, 5947, 6707, 8070, 119, 1199, 2506, 3537, 4402, 5961, 6224, 8244, 723, 1596, 2850, 3864, 4595, 5757, 6819, 8169, 881, 1832, 2564, 3219, 4788, 5584, 6419, 7756, 356, 1806, 2318, 3904, 5127, 5823, 6715, 7986, 308, 1915, 2754, 4074, 4215, 5534, 6979, 7908, 804, 2063, 2996, 4071, 5166, 5661, 6988, 8083, 308, 1791, 2989, 3803, 4822, 6129, 7077, 7485, 571, 1945, 2970, 4174, 5159, 6103, 6786, 7723, 225, 1865, 2924, 3547, 4400, 6171, 6486, 7799, 225, 1577, 2718, 3234, 4707, 6048, 6858, 7753, 1020, 1820, 3033, 3500, 4877, 5837, 6443, 7367, 942, 1834, 2154, 3470, 4364, 6007, 6584, 8132, 1101, 2009, 2621, 4003, 4321, 5894, 7017, 7737, 123, 2009, 2156, 3434, 4902, 5228, 7041, 7435, 344, 1714, 2848, 3543, 5124, 5706, 6224, 7828, 835, 1828, 2847, 3493, 4238, 5367, 6446, 7905, 774, 1337, 3040, 3741, 4826, 5452, 6295, 8061, 1041, 1426, 2670, 4079, 4372, 6017, 7066, 7983, 492, 1679, 2642, 3835, 4943, 5608, 6419, 7918, 326, 1789, 2224, 3975, 4460, 5938, 6763, 7973, 363, 2100, 2953, 3676, 4621, 5875, 6998, 7911, 363, 1526, 2520, 4007, 4776, 6011, 6517, 7360, 465, 1593, 2151, 3973, 4455, 6002, 7072, 7955, 1040, 1806, 2327, 3187, 4321, 5452, 7043, 7529, 465, 2036, 2327, 3416, 4573, 6050, 6497, 8006, 992, 2036, 2656, 3192, 4678, 6002, 6373, 8073, 1062, 1653, 2232, 3616, 4684, 6067, 7224, 8214, 113, 1476, 2327, 3773, 4565, 5300, 6411, 7476, 1057, 2048, 2132, 3616, 4364, 6144, 6562, 7545, 150, 1510, 2888, 3282, 4417, 5810, 6715, 7948, 1090, 1510, 3089, 3811, 4440, 5483, 7162, 8135, 1025, 1494, 2357, 3671, 5100, 5797, 6539, 7363, 1025, 1671, 2312, 3543, 4374, 6014, 6493, 7878, 610, 1692, 2688, 3426, 4385, 5788, 7129, 7641, 424, 1306, 2750, 3540, 5192, 5901, 6677, 7887, 831, 1778, 2899, 4150, 4308, 5396, 7212, 7732, 756, 1821, 3133, 3746, 4918, 5781, 6874, 8078, 654, 1330, 3043, 3879, 4882, 5276, 6657, 7976, 518, 1570, 2554, 3798, 4337, 5903, 6889, 7421, 518, 1853, 2941, 3642, 4513, 5787, 7168, 8130, 518, 1707, 2904, 3838, 5061, 5433, 7129, 8130, 225, 1758, 3048, 4071, 4379, 5678, 6895, 8118, 518, 1252, 2970, 4149, 4638, 5892, 7082, 7806, 518, 2118, 2554, 4103, 4638, 5296, 6671, 8130, 518, 2061, 2775, 3648, 4344, 5436, 6756, 8213, 228, 2111, 2473, 3376, 4622, 5677, 6607, 7865, 228, 1345, 2904, 4096, 5079, 5413, 7082, 7563, 256, 2118, 2904, 3550, 5138, 5981, 7181, 8080, 105, 2061, 2271, 4071, 4344, 5548, 6724, 7715, 488, 2017, 2654, 3550, 4398, 5624, 6752, 8147, 488, 1961, 3117, 3914, 5166, 6081, 6889, 7723, 488, 1528, 3117, 3367, 5138, 5241, 7124, 7716, 555, 2111, 2164, 3595, 4780, 5219, 7077, 8076, 555, 1974, 3065, 3595, 5079, 5942, 6604, 7717, 105, 1736, 2839, 4168, 5135, 5580, 6709, 8080, 617, 1695, 2340, 3873, 4181, 5534, 6996, 8261, 617, 1695, 2340, 3367, 4549, 5981, 6486, 7563, 617, 1750, 2775, 3374, 4681, 6149, 6688, 7524, 617, 1468, 2775, 4153, 4555, 5580, 6988, 8080, 617, 1695, 2340, 3873, 4549, 5550, 6840, 7715, 105, 2106, 2941, 3911, 4423, 5935, 6677, 8080, 4, 2 ]

[ 1, 76, 33, 54, 5, 31, 16, 5, 51, 14, 29, 44, 55, 5, 17, 75, 5, 28, 36, 30, 78, 5, 76, 11, 78, 5, 16, 66, 33, 53, 62, 66, 16, 30, 5, 5, 3, 555, 1695, 2340, 3873, 4549, 6211, 6604, 8076, 859, 1695, 2340, 3803, 4549, 5241, 6996, 7766, 915, 2017, 2858, 3827, 4583, 5219, 6809, 7949, 488, 2111, 3117, 3367, 4681, 5534, 7124, 7766, 488, 1622, 2781, 3893, 4624, 5892, 6809, 7949, 488, 2032, 2806, 3893, 4583, 6139, 7077, 7485, 488, 2032, 2164, 4068, 4624, 6139, 6996, 8147, 818, 1844, 2806, 3367, 4366, 6211, 6794, 7723, 510, 1998, 2324, 3909, 4782, 5635, 7239, 7782, 204, 1581, 2990, 3973, 4670, 6120, 6373, 8251, 973, 2121, 2710, 3427, 4182, 5782, 6904, 7648, 1004, 1470, 2506, 3219, 4708, 5291, 6929, 8044, 918, 1494, 2564, 3171, 4897, 5810, 6234, 7944, 448, 2059, 2661, 3285, 5188, 5532, 7068, 7478, 761, 1393, 2436, 3937, 4244, 5955, 6485, 8034, 1029, 1773, 2492, 4096, 4536, 5927, 6974, 7765, 386, 1388, 3033, 4120, 4690, 6002, 6715, 7917, 1101, 1499, 2175, 3437, 4321, 5982, 6671, 7950, 528, 1557, 2346, 3745, 4274, 5526, 6626, 7277, 875, 1570, 2658, 4137, 5122, 5594, 6917, 7873, 896, 1397, 2314, 3548, 5142, 6089, 6803, 8050, 804, 1561, 2328, 3231, 4497, 5730, 6608, 7261, 488, 1845, 2729, 3201, 4346, 6005, 6750, 8236, 935, 1998, 2315, 4114, 5129, 5981, 6938, 8083, 288, 1700, 2730, 4145, 4925, 6195, 6776, 7664, 984, 1518, 2991, 3866, 4870, 5630, 7129, 8099, 143, 1286, 2746, 3564, 4622, 5875, 7090, 8261, 252, 1674, 3033, 3662, 4725, 5224, 6538, 8178, 878, 1674, 2138, 3456, 4918, 5852, 6412, 7799, 1071, 1937, 2775, 3273, 4929, 5911, 6224, 8061, 943, 1570, 3045, 3688, 4176, 5576, 6680, 8255, 723, 1348, 2453, 3688, 4351, 5455, 6550, 8167, 1023, 1960, 2676, 3329, 4866, 5851, 6626, 8137, 830, 2049, 3047, 3720, 4873, 5772, 6905, 8201, 249, 1552, 3030, 3936, 4567, 5773, 6586, 8258, 881, 1403, 3029, 3326, 5041, 6216, 6357, 7612, 356, 2093, 2348, 3602, 4387, 5795, 6408, 7785, 984, 2000, 2880, 3929, 4881, 5705, 6590, 8166, 337, 1998, 2210, 4028, 4762, 6175, 7157, 8208, 967, 1791, 2981, 4145, 4870, 6205, 7095, 7976, 225, 1752, 2469, 3550, 5150, 5874, 6284, 7957, 225, 1845, 2875, 3994, 4856, 5656, 6749, 8108, 225, 1564, 2944, 3470, 4215, 5296, 7090, 7706, 334, 1345, 2332, 3470, 4412, 6189, 7207, 7442, 118, 1345, 2190, 3363, 4983, 5220, 7013, 7279, 397, 1597, 2454, 3470, 5183, 5257, 7053, 7732, 731, 1623, 2187, 3470, 4589, 5474, 7219, 7939, 402, 1363, 3039, 3970, 5081, 5576, 6366, 7565, 314, 1388, 2872, 3395, 4321, 5449, 6762, 8157, 574, 1550, 2175, 3424, 4539, 5483, 6716, 7905, 1029, 1948, 2156, 3355, 4604, 5768, 7100, 7910, 150, 1685, 2561, 3892, 4308, 5298, 7212, 8080, 271, 1831, 2313, 3866, 4536, 5381, 6978, 7936, 540, 1637, 2298, 3454, 4282, 5441, 6414, 7717, 386, 1685, 2727, 4096, 4700, 5868, 7004, 7720, 781, 1812, 2595, 3475, 5124, 5603, 7198, 8047, 989, 2061, 2961, 4021, 4858, 5454, 6693, 7868, 989, 1826, 3103, 3286, 4831, 5311, 6592, 8150, 862, 1589, 3040, 3506, 4545, 5405, 6957, 7513, 610, 1723, 2366, 3668, 4334, 6138, 6540, 8034, 804, 1233, 2959, 3914, 4717, 5378, 7100, 7875, 304, 1777, 3143, 3582, 5129, 5684, 6810, 7776, 304, 2079, 2900, 3188, 4241, 5832, 6281, 7706, 304, 1534, 3095, 3999, 4287, 5802, 7019, 7677, 390, 2063, 3143, 3645, 4867, 5534, 7090, 7677, 512, 1675, 2960, 3918, 4589, 6085, 7239, 8083, 308, 1850, 2783, 4011, 4287, 6195, 7132, 7720, 308, 1791, 2924, 4171, 4888, 6014, 6996, 7876, 326, 1393, 2868, 4064, 5077, 5369, 6671, 7290, 113, 1655, 2716, 3307, 4214, 5643, 7158, 7811, 1023, 1555, 2207, 4038, 5066, 5344, 6658, 8259, 363, 2059, 2387, 4079, 4804, 6170, 6949, 7518, 723, 1209, 2564, 3456, 4864, 5457, 6344, 7954, 1023, 1299, 3104, 3513, 4298, 5222, 7128, 8032, 895, 2117, 2742, 3631, 4427, 5886, 6958, 7788, 875, 1771, 3091, 4073, 4459, 5236, 6391, 7693, 443, 1726, 2440, 3248, 4683, 5938, 6385, 7808, 344, 1930, 2440, 3623, 4401, 5524, 7115, 7581, 344, 1393, 3029, 4103, 4723, 6065, 6985, 8137, 992, 1250, 2564, 3837, 4204, 6053, 6419, 7814, 992, 1250, 2142, 3499, 4755, 6144, 6763, 7611, 344, 1930, 2142, 3885, 4401, 5918, 7064, 7318, 465, 1541, 2142, 3472, 4723, 5643, 6335, 8094, 465, 1171, 2142, 3956, 4679, 5828, 7017, 7904, 807, 1770, 2935, 3578, 4539, 5742, 6820, 7271, 1025, 1826, 2874, 4067, 4992, 5640, 6461, 8078, 1056, 2125, 2729, 3376, 4747, 5612, 7007, 7664, 308, 2063, 2989, 3680, 5061, 5216, 7085, 7677, 256, 2078, 2484, 3803, 4512, 5740, 6870, 8041, 225, 1887, 3101, 3391, 5073, 5514, 7182, 7533, 568, 2002, 2582, 3719, 5138, 5944, 6730, 7716, 153, 2059, 3032, 3951, 4756, 6211, 6591, 7612, 308, 1791, 2975, 4166, 5150, 5438, 7100, 7948, 1056, 1963, 2947, 3602, 4630, 6211, 6734, 8083, 610, 1873, 2381, 3710, 4328, 5684, 6958, 7631, 1084, 2036, 3108, 3954, 5027, 5694, 7207, 7918, 277, 1919, 2360, 3851, 5074, 5845, 7001, 7279, 113, 1704, 2175, 3650, 4433, 6031, 6702, 7607, 668, 1141, 2859, 3635, 4214, 5242, 6439, 7565, 1052, 2059, 2403, 3634, 4636, 5810, 6674, 7902, 115, 1596, 2429, 4076, 4730, 5325, 6712, 7737, 195, 1917, 3034, 4092, 4925, 5325, 6380, 7666, 195, 1424, 2961, 4096, 4642, 5845, 6414, 7572, 654, 1649, 3144, 3674, 4179, 5492, 6980, 7756, 901, 2125, 3052, 3917, 4717, 6006, 6938, 7707, 752, 2065, 2615, 3376, 4589, 5220, 6814, 7638, 492, 1708, 2486, 3245, 4360, 5773, 6651, 7772, 936, 2118, 2261, 3187, 4832, 5443, 6923, 8106, 876, 1296, 2867, 3723, 4604, 5870, 6609, 7669, 996, 1821, 3019, 3475, 4236, 5409, 6476, 8126, 789, 1978, 2573, 4078, 4834, 5503, 6958, 8187, 488, 2000, 2729, 3886, 4870, 5436, 7084, 7303, 935, 1856, 2803, 4145, 4215, 6123, 7090, 7717, 186, 2111, 2730, 4145, 4583, 6129, 7077, 8076, 617, 2064, 3135, 4026, 4918, 6063, 6809, 7631, 276, 2127, 2287, 3443, 4651, 5600, 7042, 7657, 225, 1684, 2971, 3987, 4792, 5586, 6338, 7904, 356, 1620, 2560, 3566, 4589, 5503, 6366, 8033, 319, 1869, 2239, 3413, 4321, 5549, 6912, 8254, 535, 1938, 2627, 3887, 5154, 5668, 6860, 7657, 535, 1820, 3018, 3421, 4368, 6116, 7166, 7727, 535, 1708, 3032, 3981, 4234, 6003, 6224, 7525, 535, 1796, 3103, 3904, 4297, 5300, 6348, 8045, 408, 1227, 2595, 4065, 5040, 5662, 7065, 8086, 663, 1867, 2440, 3538, 4343, 5573, 7207, 8213, 304, 1932, 2598, 3645, 4622, 5730, 7149, 7664, 390, 1881, 3128, 3516, 4622, 5761, 6709, 8179, 308, 1705, 2880, 3886, 4583, 5767, 6852, 8266, 804, 1635, 3008, 3901, 4861, 6175, 6972, 8260, 1097, 1876, 2947, 3916, 4782, 5893, 6972, 8076, 1097, 2000, 2949, 4145, 5038, 6211, 7152, 7723, 1099, 2000, 2947, 3710, 4366, 6129, 6786, 7949, 757, 1856, 2998, 4125, 4611, 5515, 6612, 7549, 756, 1265, 2210, 3827, 4392, 5220, 7157, 8061, 545, 1688, 2583, 3850, 4993, 5276, 7136, 7985, 936, 1695, 3033, 4007, 4728, 5903, 7160, 7426, 536, 1942, 2314, 3222, 5032, 6052, 7112, 7778, 536, 1706, 2621, 3610, 5183, 5512, 6283, 8262, 1062, 1726, 2656, 4080, 5009, 5288, 6812, 8081, 952, 1118, 2487, 3932, 4808, 5573, 6872, 7964, 103, 2048, 2365, 3424, 4555, 6109, 6814, 7777, 887, 1832, 2678, 3827, 4902, 5890, 6442, 7869, 663, 1695, 2313, 4174, 5088, 6222, 6251, 8064, 1097, 1508, 2746, 3914, 5080, 5534, 6677, 8076, 914, 1998, 2947, 3188, 5061, 5534, 7006, 7806, 915, 2046, 2167, 4108, 4704, 6146, 7084, 8185, 105, 1998, 2949, 3188, 4762, 5612, 7149, 7563, 105, 1623, 2332, 4006, 5083, 5811, 6979, 8179, 555, 1684, 2970, 3994, 5142, 5481, 6584, 8066, 488, 1856, 3064, 4071, 4387, 5210, 6996, 7806, 488, 2017, 2806, 3893, 4624, 5892, 7132, 8179, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7876, 488, 1622, 2806, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 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, 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, 64, 33, 75, 63, 16, 52, 5, 28, 14, 54, 30, 78, 5, 76, 35, 5, 62, 52, 39, 44, 55, 5, 5, 3, 543, 2127, 2282, 4121, 4486, 5801, 6547, 7916, 228, 1332, 2341, 4121, 4904, 5678, 7006, 8093, 654, 1424, 3084, 4064, 4622, 5548, 6821, 8083, 518, 1961, 3002, 3931, 4700, 5218, 6241, 8266, 518, 1684, 3084, 3798, 5012, 6119, 7163, 7706, 256, 1623, 3133, 4174, 4870, 5515, 7024, 7677, 335, 1370, 2282, 3900, 5190, 5616, 6256, 7773, 1023, 1411, 2487, 3298, 5125, 6217, 6697, 8038, 723, 1286, 2593, 3209, 4195, 6217, 7072, 7349, 635, 1557, 2491, 3733, 4973, 6135, 6292, 7827, 249, 1507, 2987, 3624, 4994, 5719, 6798, 7873, 458, 1762, 2452, 3892, 4205, 5305, 6225, 7442, 536, 1865, 2787, 3559, 4494, 5224, 6623, 7852, 1056, 1523, 2661, 3755, 4324, 5730, 6619, 7768, 833, 1523, 2542, 4026, 4781, 5870, 6871, 8068, 756, 2030, 2798, 3917, 4598, 5831, 6659, 7481, 331, 1797, 2720, 4094, 4867, 5706, 7010, 7674, 881, 1499, 3068, 3876, 4364, 5248, 6559, 7768, 778, 1747, 2993, 3987, 4439, 5555, 7033, 7873, 840, 2070, 2556, 3918, 4801, 6214, 6728, 7547, 443, 1842, 2207, 4084, 4609, 5679, 7158, 8257, 884, 1838, 3037, 3599, 4751, 6126, 6853, 7627, 386, 2050, 2867, 3989, 4847, 5325, 6561, 8139, 249, 1440, 2294, 3325, 4364, 5793, 6970, 8026, 993, 1469, 3126, 3432, 4621, 5323, 7015, 8248, 1025, 1469, 3005, 4101, 4604, 6104, 6480, 7933, 308, 1624, 2996, 4068, 5053, 6001, 6630, 7570, 211, 1867, 2880, 3914, 5129, 5910, 7162, 8266, 684, 1620, 3007, 3961, 4859, 5437, 6688, 7906, 804, 1945, 2803, 3982, 4287, 5883, 7132, 7677, 308, 1833, 2996, 4018, 4551, 6103, 7077, 8179, 572, 1601, 2163, 3430, 4590, 6171, 6798, 7576, 997, 1655, 2455, 3398, 4541, 6135, 6470, 7950, 997, 1826, 2751, 3366, 4848, 5362, 7154, 7259, 584, 2009, 2751, 3647, 4976, 5843, 7227, 8025, 1050, 1785, 2534, 3329, 4571, 6016, 6962, 7396, 723, 1826, 2731, 3672, 4371, 5408, 6442, 7928, 535, 1706, 2731, 3421, 5074, 5384, 6434, 7683, 884, 2109, 2165, 3421, 5154, 5843, 7140, 7613, 737, 1397, 2824, 3356, 4539, 6141, 6592, 7636, 249, 1472, 3070, 3356, 4572, 6055, 6520, 7922, 725, 1402, 3074, 3770, 4758, 5867, 6770, 7983, 1101, 1653, 2282, 4158, 4321, 6111, 7219, 7892, 386, 1548, 2572, 3495, 4576, 6135, 6666, 7545, 1023, 1826, 2128, 3262, 4796, 5400, 6885, 7881, 150, 1509, 2867, 3434, 4308, 5257, 7038, 8261, 1025, 1865, 2555, 3420, 4717, 6194, 6840, 7585, 887, 2008, 2429, 3167, 4521, 5289, 6905, 7510, 887, 2033, 2163, 3706, 4595, 5656, 6889, 7367, 513, 1978, 2780, 3865, 5088, 6217, 6254, 7677, 518, 1749, 2429, 3564, 4912, 5671, 6619, 8254, 225, 1275, 3028, 3859, 4918, 5594, 6639, 7649, 405, 1490, 2820, 3188, 4513, 5844, 6613, 7476, 1084, 2125, 2975, 3714, 4789, 5548, 7007, 7309, 961, 1919, 2975, 3474, 4737, 5624, 7217, 7494, 113, 1989, 2740, 3773, 4253, 5296, 6608, 7458, 993, 2070, 2798, 3288, 4604, 6086, 6884, 8012, 83, 2008, 2352, 3195, 4364, 6053, 6293, 7954, 83, 2008, 3029, 3869, 5110, 5421, 6883, 8016, 1016, 2008, 3029, 3496, 4887, 6176, 6883, 7348, 961, 1581, 2944, 3440, 4364, 5819, 6914, 7424, 804, 1660, 2151, 4085, 4918, 5359, 6470, 7516, 186, 1791, 2998, 3440, 5106, 5850, 7218, 7887, 984, 1791, 2730, 3188, 5060, 5635, 6953, 7485, 984, 1856, 3064, 4011, 5060, 6085, 6709, 8054, 579, 1817, 2617, 4011, 4576, 5641, 6426, 8164, 617, 1858, 2905, 3886, 4287, 6085, 7162, 7791, 617, 1865, 2858, 3886, 5184, 5752, 7239, 7363, 211, 1668, 2728, 3595, 4512, 5462, 7047, 7723, 1033, 2050, 2807, 3676, 4335, 6061, 6537, 7547, 536, 1199, 2389, 4007, 4603, 5731, 6347, 7582, 994, 1773, 2536, 4007, 5111, 5510, 7004, 7737, 326, 1934, 2494, 3573, 5152, 5822, 6485, 8091, 407, 1472, 2744, 3635, 4773, 5361, 7241, 8248, 1041, 1397, 2959, 3958, 5084, 6194, 6234, 7882, 493, 1108, 2346, 3232, 4995, 5938, 6433, 8025, 404, 1706, 2751, 3768, 5188, 6039, 7183, 7577, 113, 1942, 3032, 3986, 4985, 6131, 6538, 8070, 487, 1397, 2258, 3928, 4571, 5621, 6648, 8161, 807, 1108, 2154, 3298, 4539, 5746, 7181, 7487, 668, 1732, 2610, 3262, 4321, 6096, 7203, 7260, 996, 2053, 2751, 3764, 4743, 5721, 6863, 7752, 1062, 1808, 2697, 3873, 4881, 5971, 6640, 7305, 495, 1821, 2407, 3986, 4364, 5671, 6651, 7673, 495, 1581, 3116, 3619, 4775, 5584, 7229, 8000, 807, 1108, 2797, 3380, 4546, 5810, 6385, 7770, 807, 1309, 3116, 3544, 4197, 6002, 7181, 8117, 807, 1600, 2440, 3764, 4539, 5212, 7149, 7933, 887, 1834, 3020, 3537, 4539, 5637, 6442, 7955, 150, 1721, 3020, 3943, 4755, 5981, 7044, 7873, 610, 1302, 2292, 3873, 4985, 5573, 7129, 8188, 643, 1721, 2439, 4096, 4985, 5534, 6918, 7794, 1081, 1755, 2996, 3929, 4350, 5514, 6852, 7557, 1025, 1797, 2165, 3645, 4276, 5210, 6852, 7948, 940, 1797, 3008, 4068, 4918, 5901, 6972, 7778, 488, 1945, 2803, 4108, 4980, 6129, 6752, 8195, 488, 1963, 3110, 4018, 4681, 6103, 6972, 7806, 818, 2000, 2164, 3893, 4624, 6139, 7226, 8223, 488, 2000, 3135, 3710, 5038, 5705, 7124, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2914, 3893, 4798, 6139, 7124, 7766, 488, 1648, 2914, 4071, 4870, 6186, 7120, 7723, 488, 1648, 3021, 4071, 4624, 6081, 7124, 7723, 915, 1623, 2833, 3825, 4583, 6139, 6996, 7664, 555, 1750, 2833, 4071, 4622, 5550, 6752, 8223, 915, 1648, 2806, 3914, 4622, 5241, 7124, 8223, 555, 2111, 3064, 4006, 4624, 5635, 7077, 8080, 915, 1623, 2914, 3914, 4583, 5550, 7152, 7715, 555, 1648, 2833, 3825, 4622, 5635, 7077, 8076, 915, 1648, 2806, 3914, 4870, 5241, 6677, 8223, 915, 2017, 2970, 3891, 4798, 5635, 6996, 8080, 915, 2017, 2858, 3914, 4798, 5241, 7077, 7723, 915, 1648, 2806, 3391, 4387, 5241, 6752, 8223, 915, 1623, 2833, 4071, 4512, 6139, 6996, 8196, 915, 1623, 2806, 3374, 4890, 6139, 7124, 8147, 4, 2 ]

[ 1, 43, 48, 5, 53, 17, 64, 66, 5, 54, 23, 5, 53, 39, 51, 5, 42, 69, 30, 5, 43, 45, 78, 5, 57, 54, 5, 14, 30, 63, 34, 64, 5, 5, 3, 487, 1561, 2610, 3578, 5073, 5665, 6763, 7397, 1011, 1455, 2555, 4096, 4364, 5586, 7017, 8174, 663, 1350, 2688, 3410, 4374, 6213, 7019, 8236, 424, 1931, 2737, 3801, 4686, 6014, 6761, 8130, 850, 1146, 2737, 4132, 4440, 5797, 7067, 8252, 610, 1878, 2737, 3671, 4573, 5644, 6966, 7693, 1090, 2107, 2868, 4062, 4700, 5834, 6774, 7547, 569, 1571, 2232, 4085, 4945, 5745, 6935, 7366, 981, 1463, 3149, 3262, 5009, 6080, 7244, 8129, 678, 1828, 3083, 3943, 4364, 5479, 6834, 8210, 878, 1596, 2803, 3832, 4844, 6094, 6914, 7610, 195, 2002, 2868, 4155, 5107, 5831, 6949, 7838, 654, 2108, 2631, 4102, 4923, 5962, 7017, 7707, 518, 1596, 2554, 3674, 4344, 6083, 6715, 7430, 240, 1881, 2335, 3732, 4329, 5705, 6623, 7838, 935, 1851, 2669, 3364, 5104, 5963, 7152, 7948, 951, 2097, 2991, 4027, 4807, 6205, 6755, 7838, 488, 2046, 2728, 4068, 4888, 5901, 7058, 8147, 304, 1467, 3064, 3454, 5060, 6131, 6566, 8260, 1033, 1120, 3053, 3975, 4334, 6146, 7069, 7949, 536, 1491, 2401, 3273, 4666, 6134, 7143, 7868, 150, 2036, 2986, 3492, 4702, 6006, 6442, 7389, 459, 1171, 2312, 3483, 4886, 5650, 6998, 8268, 996, 1728, 2920, 3635, 5031, 5223, 6839, 7312, 1080, 1828, 3010, 3790, 4827, 5856, 6478, 7397, 995, 1828, 2844, 3714, 4812, 5685, 6541, 7525, 938, 1547, 2751, 3964, 4597, 5545, 6287, 7984, 508, 1463, 2373, 3887, 5161, 5545, 6700, 7675, 692, 1199, 2435, 3276, 4441, 5713, 7104, 7611, 620, 1183, 2348, 3520, 5134, 5410, 6654, 7758, 1052, 1183, 2642, 3419, 4248, 6142, 6474, 7480, 271, 1183, 2835, 3500, 4277, 5719, 7231, 7583, 826, 1873, 2628, 4047, 4408, 5643, 6224, 7756, 1033, 1721, 3063, 4138, 5180, 5954, 6348, 8066, 104, 1773, 2312, 3516, 4849, 5658, 7010, 7996, 1025, 1918, 2975, 3201, 4966, 6092, 7047, 8266, 1025, 1238, 3092, 3870, 4792, 5893, 7095, 7753, 1035, 1455, 2795, 3870, 4334, 5907, 6725, 8184, 887, 1978, 3075, 3427, 4700, 5277, 6663, 7641, 786, 1826, 2716, 3616, 5107, 5745, 7041, 7858, 139, 1732, 2832, 3398, 4365, 5633, 6224, 7817, 1040, 1550, 2751, 3239, 5073, 5629, 6315, 7317, 986, 1889, 2751, 4079, 4763, 6155, 7229, 7900, 952, 1550, 2631, 3537, 4604, 6001, 6736, 8259, 513, 1831, 3074, 3340, 4364, 5727, 6569, 7756, 956, 1683, 2552, 3929, 5165, 5778, 6657, 7962, 1099, 1867, 3135, 3891, 5159, 5694, 6604, 7806, 510, 1945, 3006, 4108, 5058, 6175, 6967, 7421, 1099, 2017, 2932, 4170, 4276, 6129, 7239, 7766, 818, 1528, 3095, 4108, 4630, 6182, 6972, 7421, 510, 1791, 2925, 3710, 5080, 5612, 6709, 7949, 91, 1396, 2756, 3392, 4372, 6157, 6645, 7822, 171, 1933, 2890, 3955, 4215, 5962, 7168, 8083, 223, 1141, 2783, 4064, 5042, 6103, 7149, 7786, 150, 1497, 3092, 3201, 5164, 5684, 6834, 8178, 462, 1770, 2137, 4073, 4385, 5648, 6293, 7829, 668, 1350, 2339, 3665, 4335, 5398, 6426, 8165, 778, 1531, 3018, 3968, 5170, 5240, 6493, 7355, 1062, 1510, 2232, 4098, 4669, 5276, 6531, 8244, 639, 1154, 2660, 3524, 4700, 5794, 6554, 7858, 1090, 1601, 2222, 3848, 5150, 6156, 6704, 8046, 103, 1906, 3032, 3535, 4351, 5836, 6347, 7367, 1020, 1182, 2710, 3955, 4664, 5413, 6660, 8150, 247, 1286, 2365, 3994, 4298, 5301, 6476, 7605, 465, 1244, 3029, 4106, 4819, 5549, 6478, 7311, 397, 1335, 2902, 3331, 4539, 5898, 7165, 7544, 793, 1608, 2872, 3623, 4945, 5320, 7014, 7873, 930, 2055, 2327, 3329, 4195, 5652, 6710, 8114, 1040, 1755, 2751, 3517, 4195, 5529, 7043, 8189, 868, 1881, 2659, 3266, 4321, 5613, 6914, 7759, 902, 1608, 2562, 3776, 4321, 6212, 7009, 8100, 1014, 1139, 2751, 3879, 5125, 5320, 6412, 7288, 195, 1238, 2751, 3961, 4395, 5536, 6242, 8035, 576, 1826, 3032, 3817, 4214, 5349, 6603, 7675, 309, 1826, 2976, 3623, 4441, 5790, 6486, 7303, 1102, 2024, 2976, 4088, 4881, 5223, 7019, 8038, 665, 1489, 2693, 3395, 4934, 5402, 6841, 7945, 1019, 1108, 2751, 3385, 4494, 5444, 6325, 8249, 536, 1239, 2979, 3986, 4363, 5512, 6287, 7905, 536, 1681, 2737, 3167, 4718, 6117, 7140, 7366, 802, 1873, 2130, 3565, 4656, 5776, 6269, 7835, 113, 1728, 2977, 3352, 4643, 5248, 6632, 7502, 1025, 1852, 2518, 3420, 4364, 5821, 6853, 7527, 1025, 1867, 2518, 3727, 4553, 5616, 6959, 7822, 1025, 2117, 2397, 3420, 4245, 6174, 6903, 8208, 1029, 2079, 3066, 3917, 4617, 5457, 7195, 8248, 104, 1566, 3080, 3437, 4595, 5899, 6703, 7737, 104, 1141, 2553, 3941, 4603, 5890, 7114, 8043, 104, 1721, 3080, 3877, 5036, 5908, 6870, 7532, 887, 1635, 2727, 3917, 4807, 5413, 6771, 7557, 887, 1306, 2868, 3323, 4780, 5344, 7069, 7870, 443, 1320, 2429, 3582, 4701, 5602, 6737, 7472, 1057, 2053, 2587, 3245, 4321, 5516, 6739, 8189, 1084, 1422, 2282, 3865, 4541, 6135, 7085, 8018, 691, 1826, 2483, 3191, 4236, 5503, 6393, 7834, 211, 1472, 2282, 3908, 4428, 5589, 7223, 8259, 914, 1581, 2946, 4114, 4918, 5993, 6830, 8248, 804, 1791, 3064, 3803, 4912, 6129, 7132, 8083, 308, 1620, 2925, 3540, 4896, 6175, 6988, 8237, 684, 1750, 2947, 4011, 4912, 5883, 6988, 8237, 153, 1684, 3026, 3904, 4289, 5740, 6898, 7838, 541, 1966, 2356, 3838, 4211, 5610, 6602, 7887, 541, 1171, 2515, 3782, 4412, 5586, 7165, 7677, 1038, 1758, 2149, 3517, 5072, 5918, 7165, 8227, 840, 1770, 2432, 3889, 4735, 5874, 7143, 8025, 344, 1202, 2432, 4007, 4745, 5899, 6282, 8232, 876, 1884, 3029, 4073, 4448, 5965, 7065, 7740, 693, 1674, 2378, 3261, 5164, 5208, 6914, 7881, 693, 1674, 2561, 3421, 5124, 5255, 6398, 7586, 693, 1422, 2156, 4079, 4419, 5610, 6692, 7770, 996, 1472, 2941, 3282, 5188, 5503, 7041, 7721, 265, 1832, 2941, 3714, 5084, 5347, 7122, 8132, 844, 1669, 2871, 3967, 4949, 5470, 7163, 7872, 1062, 1422, 2175, 3939, 4855, 5613, 6343, 8046, 756, 1557, 2579, 3773, 4755, 5614, 6485, 7279, 654, 1210, 2181, 3320, 4519, 5792, 6959, 7811, 654, 1597, 3133, 3681, 5159, 6149, 6988, 7476, 654, 2060, 2725, 3416, 5134, 5935, 7152, 7715, 518, 2127, 2959, 3838, 5138, 5586, 7160, 7477, 654, 1286, 2473, 4168, 4890, 5581, 7232, 7706, 127, 2106, 2562, 3937, 5135, 5385, 6579, 7826, 228, 2060, 2959, 3535, 5166, 5515, 6740, 8130, 240, 2002, 3133, 3803, 4715, 5734, 6591, 7568, 256, 1750, 2565, 3171, 4877, 5677, 7079, 7732, 543, 1826, 2221, 3827, 5167, 5603, 7091, 8046, 818, 1756, 2833, 3914, 4704, 5678, 6996, 8237, 488, 2017, 3117, 3914, 4555, 5677, 7124, 7557, 488, 1528, 3117, 3367, 4624, 5677, 7124, 7715, 914, 1648, 2833, 3516, 4704, 5534, 7132, 8179, 555, 1623, 2833, 3374, 4798, 5534, 6604, 8223, 617, 1695, 2560, 3886, 5134, 5844, 6291, 7919, 105, 1695, 2792, 4149, 5159, 5677, 6996, 8261, 617, 1695, 2340, 3407, 4549, 6149, 6996, 7664, 617, 2002, 2729, 3550, 4214, 5493, 6291, 7806, 617, 1570, 2560, 3879, 4512, 5550, 7098, 7476, 617, 2127, 2833, 3879, 5120, 5901, 7168, 7766, 617, 1147, 2970, 3407, 4555, 5811, 7103, 7563, 617, 2127, 3021, 4068, 4423, 5580, 7168, 7563, 617, 2127, 2659, 4068, 4549, 6149, 6251, 8164, 617, 1564, 3064, 3662, 4549, 5811, 6840, 7677, 617, 1648, 2833, 3407, 5060, 5924, 6840, 8237, 105, 2106, 2833, 3550, 5038, 5438, 6688, 8066, 617, 1564, 3046, 3376, 5040, 5901, 6899, 7723, 617, 2106, 3143, 3407, 4762, 5550, 6579, 7753, 4, 2 ]

[ 1, 65, 39, 30, 44, 30, 5, 28, 26, 5, 66, 63, 48, 78, 5, 41, 20, 63, 5, 16, 28, 23, 66, 5, 16, 5, 51, 76, 20, 63, 66, 35, 5, 17, 75, 5, 16, 5, 53, 26, 52, 5, 5, 3, 334, 1286, 3084, 3603, 4645, 5297, 7100, 7483, 334, 1935, 3084, 3329, 5167, 5818, 6809, 8163, 225, 1971, 2468, 4121, 4411, 5802, 7229, 7873, 225, 1958, 2468, 4121, 4701, 6221, 6605, 7849, 225, 2106, 3098, 3827, 4486, 5493, 6810, 7570, 334, 1286, 2468, 4026, 4645, 5610, 7120, 7260, 757, 1490, 2278, 3235, 4437, 5530, 6584, 7485, 757, 1750, 2957, 3838, 5179, 5223, 6507, 7831, 392, 1286, 2872, 3865, 4429, 5438, 6470, 8179, 402, 1133, 2208, 3678, 5043, 5966, 6397, 8049, 801, 1896, 2312, 3588, 5093, 6220, 7131, 8189, 480, 1516, 2740, 3410, 4224, 6165, 6464, 7741, 902, 2089, 2794, 3291, 5065, 5413, 7010, 7915, 902, 1954, 2508, 3320, 4184, 5706, 6599, 8173, 1040, 1141, 3080, 3542, 4672, 5653, 6877, 7442, 722, 1674, 2479, 3291, 4501, 5682, 6683, 7467, 397, 2071, 2996, 3987, 4776, 5259, 6443, 7678, 582, 2034, 2503, 3623, 4988, 5345, 6832, 7279, 582, 1449, 2741, 3623, 5190, 5602, 6612, 7498, 731, 1564, 3091, 3162, 5167, 5527, 6995, 7756, 401, 1564, 2598, 4067, 5151, 5228, 6301, 7677, 103, 1668, 2636, 3162, 4510, 6181, 6579, 8261, 335, 2034, 2173, 4137, 4191, 5385, 7071, 8055, 582, 1449, 2172, 3623, 4609, 5257, 7055, 7384, 856, 1564, 2316, 3300, 4376, 6017, 7224, 8025, 856, 1133, 2316, 3977, 4894, 5292, 6717, 8211, 545, 2034, 2648, 3332, 4444, 5608, 6924, 7873, 1003, 1695, 2316, 3217, 5103, 5548, 6269, 7807, 779, 1761, 2636, 3827, 5151, 6129, 6771, 8164, 571, 1227, 2856, 3886, 4861, 6205, 6604, 7992, 304, 2095, 2989, 3889, 4822, 5534, 6979, 8267, 571, 1777, 2924, 4108, 4533, 5883, 7239, 8236, 512, 1998, 3098, 4027, 5139, 5550, 7207, 7717, 779, 1587, 2239, 3961, 4622, 5565, 7218, 7570, 804, 2000, 3043, 4018, 5038, 5548, 6709, 7716, 1088, 1910, 2381, 4152, 5038, 6204, 6852, 7957, 333, 1402, 2515, 3533, 4545, 5567, 6980, 7767, 360, 1503, 2861, 3418, 4495, 5337, 6289, 7710, 249, 1199, 2307, 3399, 4500, 6043, 6828, 7621, 725, 1503, 2999, 3425, 4690, 5451, 6463, 7921, 942, 2011, 2869, 4081, 4435, 5990, 6871, 7918, 759, 1520, 2953, 3161, 4593, 5660, 6930, 7363, 725, 1778, 2839, 3718, 4921, 6034, 6485, 7369, 271, 1164, 2307, 3700, 4219, 5937, 7048, 7744, 545, 1688, 2717, 3337, 4200, 5316, 6244, 7889, 150, 1858, 2940, 3217, 4241, 5921, 6521, 8195, 804, 2000, 2740, 3994, 5080, 5616, 6588, 7664, 186, 1945, 2586, 4017, 5060, 6211, 6604, 7591, 935, 1622, 2803, 3226, 4589, 5883, 6588, 8260, 186, 2032, 2991, 4006, 5058, 5901, 6752, 8195, 967, 1320, 3008, 3662, 4822, 5875, 7220, 7948, 421, 2098, 2918, 3681, 4638, 5223, 6850, 7718, 568, 1971, 2469, 3966, 4459, 5413, 6893, 7423, 334, 1510, 2950, 3903, 4983, 5584, 6715, 8202, 579, 1596, 2316, 4145, 4916, 5981, 6607, 7549, 541, 1141, 3048, 3394, 4727, 5676, 6723, 7687, 541, 1141, 3114, 3394, 4879, 5477, 7090, 8230, 579, 1971, 2473, 3798, 4205, 5293, 7098, 8237, 153, 1758, 3133, 3365, 4512, 5734, 6986, 8179, 1102, 1758, 2293, 3239, 4985, 6001, 6909, 7933, 1033, 1268, 2315, 3771, 4952, 5704, 6800, 7579, 271, 1164, 2378, 4126, 5164, 5591, 7133, 7563, 487, 1302, 2543, 3341, 4700, 5861, 6298, 7904, 986, 1563, 2751, 3205, 4665, 5745, 6265, 7973, 582, 1948, 2595, 3939, 4855, 5257, 6927, 7577, 986, 1682, 2156, 3224, 4364, 6077, 6830, 7790, 923, 1782, 2693, 4103, 4604, 6119, 6866, 7627, 487, 1255, 2429, 4010, 4776, 5925, 6798, 7442, 487, 1255, 2156, 3929, 4900, 6135, 6734, 8176, 986, 1924, 2156, 3307, 4604, 5810, 6870, 8066, 986, 1771, 2156, 3307, 5114, 6068, 6614, 7602, 986, 1978, 2156, 3936, 5098, 5733, 6466, 7996, 807, 1858, 3116, 3894, 4901, 5574, 6466, 7384, 582, 1350, 2492, 3623, 4539, 5652, 6485, 8253, 826, 1674, 2401, 3421, 4338, 5810, 6986, 7902, 1040, 1858, 2401, 3601, 4321, 5457, 6869, 8220, 986, 1306, 2751, 3601, 4734, 5441, 7112, 7954, 536, 1674, 3101, 4096, 4541, 5512, 7114, 8128, 104, 1388, 3020, 3820, 4358, 5279, 6762, 7973, 936, 1570, 2693, 4007, 4635, 5695, 6574, 7704, 936, 1652, 2520, 4007, 4604, 5782, 6883, 7902, 936, 1652, 2520, 3603, 4483, 5745, 6678, 7336, 691, 2117, 2656, 4126, 4592, 5978, 6965, 7492, 576, 1600, 2988, 4120, 5095, 5341, 6844, 7451, 225, 1620, 3032, 3963, 4519, 5286, 6431, 7546, 654, 1345, 2833, 3798, 4384, 5827, 7096, 7677, 654, 1750, 2468, 3394, 4329, 5331, 6918, 8047, 453, 1525, 2529, 3591, 5151, 5844, 6657, 8083, 859, 1998, 2562, 4145, 5138, 5844, 7168, 7831, 818, 1684, 3135, 3914, 5038, 5677, 7232, 7717, 818, 1620, 2806, 3623, 4704, 6129, 6604, 8080, 915, 1528, 2914, 3886, 5061, 6149, 6612, 8080, 105, 1147, 2833, 4006, 4512, 5296, 6579, 7673, 617, 2013, 3021, 3917, 4870, 6182, 6579, 7707, 617, 2002, 2858, 4145, 4555, 5901, 6717, 7907, 105, 2002, 3021, 3855, 4762, 6149, 6412, 8168, 617, 2106, 2542, 3689, 4513, 6175, 6671, 8164, 617, 1596, 2833, 3517, 4351, 5811, 6551, 8236, 617, 2002, 2941, 4153, 4344, 5901, 6430, 7771, 617, 2111, 2880, 3689, 4555, 5987, 6726, 7476, 105, 2002, 2959, 3528, 4890, 5534, 7232, 8147, 171, 1596, 3040, 3374, 4344, 5957, 7120, 7825, 484, 1596, 2221, 3777, 4214, 5730, 6465, 7485, 860, 2073, 2806, 4071, 4704, 6186, 7120, 7715, 142, 1528, 2806, 4145, 4704, 5241, 7077, 8080, 488, 1622, 2806, 3893, 4624, 5901, 7207, 7766, 488, 2017, 2914, 3893, 4624, 5241, 7077, 7766, 186, 1528, 2340, 4071, 4624, 5635, 7077, 8223, 878, 1386, 2473, 3994, 4653, 5308, 6748, 7717, 613, 1700, 3128, 3216, 4334, 6146, 7077, 8085, 271, 1499, 2304, 3712, 4387, 5389, 6613, 7471, 249, 1950, 3090, 3561, 5103, 5435, 6722, 7968, 888, 1937, 3003, 3411, 4180, 6071, 6439, 7634, 1029, 1882, 2816, 4119, 4815, 5501, 6670, 7941, 536, 1402, 2511, 3325, 4772, 5348, 6360, 7837, 840, 1754, 2878, 4130, 4310, 5564, 6878, 7596, 1067, 1736, 3007, 3517, 4852, 5953, 6321, 7305, 725, 1812, 2376, 3375, 4910, 6183, 7214, 7938, 465, 1338, 3118, 3392, 4474, 5444, 6464, 7995, 888, 2008, 2234, 3505, 4894, 6221, 7173, 7622, 1001, 1818, 2409, 3315, 4928, 5454, 6258, 7690, 684, 2035, 2838, 4027, 4792, 5418, 7207, 7583, 211, 1407, 2880, 4011, 4713, 6085, 6809, 8080, 684, 1978, 3006, 4027, 4856, 6171, 6408, 7361, 390, 1660, 2925, 3916, 5141, 6195, 7157, 7965, 645, 1675, 2639, 4026, 4691, 5475, 6507, 7948, 363, 1983, 2915, 3179, 5150, 5279, 7143, 7905, 983, 1499, 2173, 3748, 4559, 5668, 6963, 7650, 1070, 1212, 2173, 3721, 4301, 5668, 7140, 7266, 508, 2009, 2372, 3833, 4531, 5223, 6426, 7951, 508, 2009, 2372, 3833, 4408, 5914, 7192, 7676, 1057, 1199, 2460, 3332, 4730, 5675, 6860, 8053, 1057, 1199, 2385, 3493, 4321, 6031, 6262, 7428, 942, 1791, 2581, 3267, 4936, 6015, 7080, 8016, 401, 1937, 2798, 4112, 4797, 6175, 6774, 8259, 308, 2073, 3008, 4041, 5061, 6205, 7230, 7948, 153, 1175, 2659, 4155, 4991, 5216, 6810, 7919, 1005, 1797, 2385, 3680, 4287, 6080, 6888, 7291, 373, 1682, 2899, 3885, 4558, 5771, 6603, 7528, 304, 2073, 2803, 3793, 4589, 5589, 6256, 7829, 956, 1587, 3108, 3983, 4782, 5219, 7058, 8185, 818, 2041, 3110, 4114, 5060, 6211, 7218, 7591, 818, 2000, 2880, 3710, 5038, 6085, 7226, 8260, 1097, 2017, 2781, 3516, 4551, 5534, 6752, 8179, 956, 1528, 2781, 3516, 4980, 5534, 6979, 8267, 738, 1179, 2900, 3909, 4307, 5344, 6857, 7981, 1094, 2061, 2547, 3449, 4923, 5442, 7118, 7725, 1015, 1874, 2391, 3903, 4329, 5844, 6324, 7707, 899, 1756, 2554, 3696, 4682, 5614, 6311, 7451, 1015, 1756, 2860, 3623, 5169, 6042, 6346, 8009, 833, 2035, 3144, 3855, 4241, 5223, 7132, 7485, 752, 1688, 2783, 3643, 5053, 5756, 7149, 7384, 277, 1919, 2956, 3880, 5107, 5212, 6364, 7712, 277, 1919, 3034, 3864, 4241, 5509, 7060, 7706, 1001, 1146, 2712, 3965, 4452, 5488, 6953, 8230, 1008, 1716, 2231, 3517, 4509, 6019, 6614, 7574, 242, 1988, 2173, 3936, 4474, 5872, 7134, 7759, 895, 1926, 3116, 3432, 5195, 5894, 6674, 7527, 844, 1728, 2743, 3685, 4636, 5720, 6592, 7998, 1057, 1196, 2661, 3439, 4195, 5231, 6550, 8050, 645, 2091, 2349, 3540, 4447, 5253, 6531, 8145, 132, 2068, 2999, 3918, 4587, 6024, 7120, 7941, 171, 1945, 2728, 3961, 4299, 5687, 6515, 7753, 171, 1992, 2838, 3962, 5165, 5817, 7163, 7870, 833, 1821, 3150, 3826, 5083, 5869, 7107, 7717, 776, 1930, 2868, 3990, 4918, 5210, 7132, 7519, 887, 1324, 2261, 3162, 4437, 5918, 6980, 7716, 887, 1477, 2878, 3307, 5127, 6160, 6584, 7869, 887, 1477, 2446, 3792, 4215, 6014, 6251, 8105, 1090, 1327, 2740, 3936, 5022, 5796, 6751, 7962, 440, 1791, 2740, 3964, 4893, 6089, 6551, 7262, 440, 2041, 3110, 4115, 4925, 5850, 6668, 7948, 901, 1491, 2818, 3307, 4423, 5580, 6586, 7962, 516, 1139, 2491, 4097, 4881, 5331, 6859, 7767, 271, 2088, 2247, 3651, 4604, 5833, 7100, 7264, 895, 1977, 2137, 4009, 4670, 5583, 6684, 8165, 150, 1609, 2998, 3727, 5171, 5314, 6928, 8172, 1029, 1783, 2383, 3909, 4284, 5454, 6537, 7576, 643, 1296, 2940, 3319, 4303, 5305, 6260, 8234, 1033, 1167, 2746, 4096, 4470, 6074, 6789, 8015, 150, 1820, 2564, 4101, 4891, 5898, 6813, 7962, 150, 2009, 2142, 4005, 4274, 5570, 6224, 8043, 610, 1370, 2142, 3310, 5124, 5431, 7156, 8117, 160, 2001, 2387, 3934, 4834, 5784, 6891, 7930, 1025, 1370, 2659, 4063, 5098, 6128, 6403, 7783, 608, 1940, 2840, 3416, 4626, 5373, 7060, 8168, 360, 1469, 2618, 4137, 4621, 5756, 6626, 7815, 775, 1183, 2660, 3979, 4932, 5585, 6497, 7398, 910, 1351, 3040, 3979, 4321, 5803, 6674, 7329, 581, 1183, 3146, 3421, 4396, 5711, 7067, 7598, 535, 1183, 2390, 3953, 4472, 5624, 6224, 7470, 302, 1183, 2757, 3154, 4409, 5431, 6545, 7740, 283, 1630, 3040, 3787, 4431, 5506, 6922, 7954, 1040, 1426, 2344, 3458, 4321, 5886, 6707, 8069, 581, 2036, 2491, 3830, 4699, 5938, 6550, 8157, 113, 1506, 2232, 3214, 5124, 5451, 7232, 8161, 320, 1455, 3029, 3513, 5128, 6207, 7074, 8036, 810, 1510, 2260, 4016, 5188, 5567, 6890, 7672, 1070, 1336, 2751, 4075, 4205, 6041, 6985, 7449, 482, 1769, 2543, 4162, 4902, 5773, 6883, 7825, 763, 1510, 2887, 3764, 4364, 5324, 6836, 7413, 730, 1653, 2776, 3585, 4717, 5212, 6606, 7928, 730, 1408, 2751, 3417, 4691, 5782, 6865, 8089, 763, 1673, 2436, 3177, 4437, 6114, 6442, 8092, 428, 1706, 3010, 3506, 4663, 5549, 6275, 7397, 339, 1865, 2345, 4158, 5020, 5325, 6560, 8097, 494, 1499, 3054, 3741, 4543, 5387, 6762, 7362, 1063, 2036, 2175, 3356, 4587, 5577, 6348, 7988, 961, 1926, 2882, 4038, 4514, 5341, 6719, 8099, 235, 1926, 3061, 4072, 4216, 5338, 6620, 7480, 235, 2050, 2555, 3384, 4426, 5657, 7184, 8089, 132, 2073, 2582, 4150, 4919, 5475, 6857, 7792, 484, 1963, 2391, 4114, 4533, 6001, 6423, 7421, 186, 1475, 2975, 3645, 5058, 5241, 6786, 7723, 935, 2073, 3006, 3188, 5159, 5661, 6688, 8267, 818, 2017, 2781, 3188, 4704, 5901, 7226, 7723, 555, 2065, 2806, 4018, 4888, 5901, 6584, 8080, 105, 2111, 3147, 3188, 4611, 5550, 6810, 7677, 617, 2002, 2970, 3777, 4276, 5385, 7120, 7806, 757, 1332, 2659, 3518, 4536, 5296, 7152, 8107, 617, 2106, 2970, 4092, 4764, 5901, 7160, 7962, 617, 1289, 2469, 4068, 4704, 5890, 6348, 8077, 4, 2 ]

[ 1, 16, 54, 30, 5, 66, 73, 5, 66, 36, 54, 5, 66, 73, 5, 31, 16, 5, 28, 33, 64, 66, 5, 62, 11, 64, 16, 28, 16, 52, 5, 16, 51, 23, 54, 66, 5, 33, 75, 35, 47, 5, 23, 66, 76, 35, 30, 5, 13, 30, 75, 14, 54, 66, 44, 50, 5, 76, 44, 31, 45, 54, 5, 43, 45, 78, 5, 63, 48, 29, 5, 5, 3, 945, 2097, 3144, 3803, 5159, 5677, 6988, 8147, 419, 2114, 2806, 4071, 5138, 5493, 6671, 8147, 240, 1684, 3147, 3975, 5138, 5296, 7048, 7557, 480, 1631, 2346, 3158, 4222, 5737, 6909, 8143, 96, 1205, 2487, 3763, 4539, 5551, 7042, 8046, 224, 1349, 2468, 3806, 4176, 5839, 6811, 7518, 234, 1938, 2377, 3888, 4467, 5381, 6535, 7508, 739, 1679, 2415, 3298, 4486, 6087, 6273, 7907, 870, 1776, 2951, 3225, 4835, 5956, 7070, 7955, 441, 1438, 2951, 3991, 4412, 5248, 6252, 7851, 987, 1530, 3097, 3555, 4199, 6100, 7071, 8045, 831, 1761, 2865, 4126, 4709, 5734, 7063, 7387, 335, 1498, 3026, 3962, 4615, 5413, 6884, 7810, 731, 1446, 2432, 3233, 4567, 5350, 6569, 7409, 767, 1521, 2607, 4078, 4930, 6025, 7098, 8047, 223, 1916, 2222, 3963, 4212, 5978, 6809, 7753, 955, 1976, 2154, 3183, 4287, 5983, 7157, 7398, 512, 2020, 2839, 4041, 4387, 5963, 7114, 7570, 334, 2073, 2971, 3518, 5125, 5830, 6414, 7629, 334, 1318, 3028, 3396, 4273, 5740, 6749, 7437, 757, 1233, 2554, 3171, 4179, 6066, 6512, 7252, 676, 1695, 2244, 4011, 5088, 5797, 7173, 7588, 676, 1971, 2444, 3982, 4877, 5925, 6820, 7611, 722, 1252, 3049, 3251, 4896, 5313, 7230, 7469, 850, 1596, 2282, 4117, 4616, 6054, 6900, 7650, 335, 2126, 2282, 3732, 4834, 6120, 6935, 7794, 831, 1889, 2282, 3564, 4287, 5368, 6940, 8151, 408, 1826, 2309, 3556, 4941, 5749, 6605, 8245, 948, 2059, 2910, 3540, 4347, 5447, 6724, 7383, 304, 1752, 2880, 3680, 5106, 5548, 7103, 8057, 512, 1773, 2746, 3990, 4387, 5515, 7058, 8185, 186, 1945, 2730, 4174, 5080, 5340, 7069, 7846, 510, 1981, 3064, 3680, 4888, 6195, 6752, 7631, 510, 1750, 2996, 3982, 4822, 5219, 6996, 7720, 818, 2017, 2960, 3893, 4888, 6129, 6786, 8147, 818, 1528, 2960, 3645, 4624, 5635, 6794, 8147, 231, 1320, 2971, 3412, 4622, 5548, 6430, 8188, 568, 1426, 2601, 4005, 5150, 5438, 6898, 8130, 195, 1524, 3021, 3374, 5159, 6160, 7100, 7831, 874, 2127, 2989, 3782, 4205, 6075, 6632, 7976, 334, 2052, 2659, 3745, 4304, 5534, 6528, 7908, 541, 1695, 3059, 4026, 5076, 6128, 7024, 7361, 707, 1736, 2324, 3535, 5076, 5438, 6414, 7598, 1088, 1373, 2404, 3941, 4399, 5573, 6443, 7971, 533, 1399, 2987, 4076, 4903, 5970, 6560, 7521, 1019, 1689, 2361, 3941, 4766, 5336, 6409, 7604, 726, 1905, 2987, 3399, 4900, 5287, 6968, 7868, 994, 1858, 2997, 3417, 5034, 5479, 6595, 7689, 137, 1689, 2666, 3410, 5034, 5350, 6610, 7634, 1036, 1689, 2884, 4155, 4904, 5788, 6973, 8061, 595, 1435, 2208, 3259, 4417, 5306, 6659, 7837, 339, 1982, 2355, 3303, 4671, 5584, 6985, 8115, 761, 2074, 2601, 3863, 4559, 5886, 7202, 8045, 803, 1302, 2378, 3764, 4752, 5722, 7165, 7510, 803, 1730, 2951, 4155, 4378, 5738, 7041, 8098, 774, 1250, 2913, 3578, 4490, 5257, 6620, 7771, 802, 1993, 2952, 3380, 5109, 5239, 7169, 7813, 759, 1224, 2349, 3634, 4291, 5446, 6678, 7849, 1052, 1376, 2349, 3687, 4176, 5734, 6754, 7572, 1057, 1710, 2850, 3229, 5195, 5957, 6790, 7538, 1057, 1206, 2784, 3446, 4229, 5513, 7046, 7899, 1084, 1510, 2268, 3164, 5052, 5265, 6798, 7515, 1084, 1636, 2848, 3555, 5015, 5886, 6549, 7987, 103, 2079, 2282, 3262, 4364, 5487, 6660, 7816, 288, 1275, 2436, 4087, 5145, 5776, 6736, 7771, 288, 2091, 2326, 4082, 4586, 5534, 7149, 7919, 1090, 1943, 2926, 3987, 5020, 6175, 7120, 7421, 401, 1847, 2404, 3687, 4852, 6175, 6752, 7918, 955, 1403, 2834, 3201, 4796, 5844, 6901, 7717, 831, 1403, 2432, 3581, 5138, 6222, 6938, 8227, 223, 1218, 2994, 3949, 5110, 6014, 6800, 7303, 160, 1821, 2432, 3418, 4846, 5981, 7098, 7677, 1071, 1700, 2924, 4096, 4713, 5630, 6998, 7846, 750, 2079, 3144, 4027, 4556, 5641, 6919, 7899, 1035, 1915, 3101, 3776, 5080, 6222, 7129, 8267, 752, 1540, 2695, 4115, 4954, 5886, 6810, 7941, 684, 1994, 2947, 3167, 4551, 5661, 6589, 8093, 105, 1248, 3008, 3904, 4622, 5573, 6486, 7540, 225, 1304, 2370, 3225, 4561, 5925, 7081, 7427, 225, 1347, 2656, 3723, 4863, 5493, 6655, 7252, 568, 2013, 2944, 3555, 4601, 6137, 6500, 7437, 272, 1300, 2316, 3662, 4586, 5659, 7082, 7963, 403, 1116, 2244, 3857, 5138, 5797, 6613, 7756, 160, 1171, 2538, 3648, 5063, 5980, 6234, 7750, 318, 1562, 2564, 3543, 4595, 5321, 7210, 7649, 386, 1655, 2152, 4080, 5188, 5286, 7126, 7619, 266, 1655, 2847, 3416, 4664, 5961, 6574, 7873, 386, 1655, 2248, 3807, 4298, 5727, 6449, 7937, 266, 1655, 2531, 3521, 4576, 5814, 6884, 7270, 304, 1655, 2803, 3183, 4709, 5771, 6710, 7252, 304, 1833, 2258, 3945, 4554, 5558, 6551, 8145, 304, 1335, 2791, 3438, 4501, 5297, 7144, 8111, 448, 2001, 2139, 3351, 4376, 5840, 6311, 8069, 884, 1682, 2346, 3496, 5048, 5599, 6484, 7798, 781, 1655, 2346, 3581, 4702, 5589, 6273, 8071, 612, 1205, 3075, 3640, 5011, 5793, 7104, 8095, 800, 1199, 3126, 3526, 4934, 5286, 6783, 7622, 536, 1199, 2614, 3707, 4351, 5880, 6360, 7880, 512, 1850, 2729, 3918, 4323, 5485, 6300, 7519, 955, 2088, 2975, 3979, 4983, 5225, 6668, 8133, 1056, 1238, 2975, 4150, 4691, 5978, 6938, 7260, 288, 1660, 2803, 3932, 5169, 5504, 7184, 7557, 512, 1682, 3043, 4145, 5165, 5883, 6810, 7918, 211, 1750, 3135, 3848, 4512, 5219, 7201, 8066, 804, 1963, 3098, 3866, 5058, 5883, 7239, 8267, 512, 2041, 2582, 4174, 4583, 5219, 6972, 7887, 459, 1965, 2842, 4021, 4972, 5479, 6443, 7451, 685, 1548, 2987, 3981, 4282, 6160, 7078, 8038, 546, 1794, 2464, 3831, 4376, 6096, 6674, 7708, 161, 1888, 2725, 3508, 4602, 5607, 6921, 7586, 900, 1830, 2725, 4095, 4603, 5377, 7235, 7833, 161, 1637, 2247, 4122, 4504, 5734, 6477, 7416, 774, 1185, 2613, 3719, 4664, 5629, 7076, 8199, 769, 1664, 2951, 3439, 4376, 6056, 6412, 8094, 448, 1756, 2992, 3851, 4226, 5288, 6408, 7378, 613, 1266, 3046, 3838, 5040, 5955, 7043, 8126, 195, 1820, 2659, 3446, 4541, 5369, 6935, 7398, 225, 2111, 2669, 3541, 4435, 5942, 6776, 7279, 225, 1851, 2792, 3540, 4916, 5923, 6579, 8211, 228, 1851, 2156, 3374, 4636, 5890, 7119, 7893, 518, 1961, 3046, 4037, 4536, 6149, 7006, 7838, 240, 2127, 2858, 4093, 5165, 5589, 6579, 8150, 240, 2078, 3018, 3595, 4412, 5548, 6889, 8083, 543, 1851, 2992, 3803, 4512, 5534, 7132, 8260, 419, 1528, 2992, 4113, 5143, 5493, 7103, 8130, 256, 1750, 2858, 3803, 4412, 6103, 6338, 7740, 225, 1386, 3095, 3225, 4996, 6110, 7030, 8070, 757, 1963, 2356, 4168, 4555, 5385, 6607, 7662, 272, 1750, 2944, 3891, 5076, 5827, 7023, 7732, 213, 1750, 2949, 3932, 4877, 5963, 6589, 7485, 915, 1381, 2880, 4170, 4551, 5677, 7077, 7485, 488, 1648, 3065, 3825, 4704, 5678, 7132, 7876, 488, 1528, 3065, 3825, 4704, 5241, 7077, 7766, 488, 1622, 3117, 3893, 4366, 6186, 7124, 7723, 818, 1648, 3117, 3825, 4624, 6139, 7124, 7766, 756, 1964, 3043, 4018, 4888, 5963, 6302, 8083, 361, 1233, 2886, 3942, 5054, 5373, 6838, 7977, 318, 1318, 2324, 3864, 5084, 5785, 6588, 8252, 716, 1582, 3036, 3684, 4518, 5720, 7059, 8062, 386, 1563, 2713, 4147, 5154, 5604, 7180, 8105, 781, 1199, 3036, 4081, 4338, 5817, 6595, 7627, 893, 1582, 2509, 3890, 4338, 6190, 6618, 8084, 1089, 1120, 2951, 3787, 5010, 5397, 7200, 7298, 864, 1362, 2951, 3596, 5156, 6114, 6836, 7777, 653, 1140, 3054, 3596, 4737, 6096, 6481, 7270, 893, 1567, 2692, 3702, 4587, 5852, 7078, 8238, 262, 1503, 2144, 3894, 4954, 6101, 6295, 7877, 756, 1660, 2836, 3310, 4589, 6061, 7016, 7810, 699, 1937, 2718, 3188, 4844, 5218, 6247, 7594, 195, 1961, 3064, 3555, 5011, 5643, 6898, 7680, 654, 1705, 3139, 4151, 4555, 6116, 6980, 8150, 1014, 2127, 3018, 3723, 4658, 5218, 6798, 8061, 654, 2106, 2391, 3879, 4996, 5734, 7024, 8179, 654, 2002, 2718, 4168, 4863, 5719, 6576, 8242, 568, 1749, 3095, 3225, 4611, 5534, 7212, 7830, 183, 2061, 2792, 3555, 5076, 5694, 6757, 7557, 948, 1637, 2293, 4174, 4983, 5385, 6486, 8085, 1036, 1761, 2429, 3412, 4999, 5656, 6704, 7496, 776, 1677, 3080, 4171, 4514, 6221, 6304, 7928, 401, 1499, 2803, 4155, 5060, 5677, 7047, 7764, 304, 1499, 3133, 3983, 4513, 5637, 6408, 7782, 304, 2001, 2677, 3838, 4877, 5968, 6612, 7420, 304, 2000, 3095, 3440, 5060, 6063, 6338, 7311, 761, 1585, 2720, 3421, 5040, 5242, 6905, 7270, 1045, 1199, 2690, 3780, 4694, 5321, 6523, 7685, 781, 1503, 2705, 3868, 4571, 5421, 6605, 7678, 864, 1503, 2509, 3934, 4467, 5235, 7140, 7516, 862, 1183, 2832, 3634, 5003, 5313, 6880, 8255, 864, 1183, 2731, 3748, 4310, 5440, 6456, 8103, 508, 2066, 2986, 3871, 4592, 5817, 6403, 7758, 970, 1740, 2659, 3237, 4545, 6118, 6502, 7559, 692, 1926, 2649, 3934, 4467, 5338, 6974, 7271, 692, 1183, 2247, 3420, 4318, 5404, 6985, 7941, 234, 1180, 2986, 3785, 4547, 6068, 6384, 7982, 692, 1183, 2810, 3511, 4776, 5595, 7078, 8177, 234, 1738, 3040, 4066, 4502, 6179, 6628, 7703, 862, 1503, 2358, 3259, 4887, 5783, 6284, 7983, 862, 1503, 2563, 3788, 4717, 5220, 6990, 8182, 308, 1789, 2797, 3771, 5141, 5658, 7023, 8132, 171, 1363, 2326, 3866, 4467, 5534, 7149, 7963, 427, 1992, 2959, 4005, 5127, 5433, 7004, 7966, 427, 2065, 3128, 3188, 4374, 5550, 6966, 7485, 935, 1847, 2391, 4152, 4630, 5550, 6988, 7557, 935, 1974, 2834, 3680, 4617, 6222, 6704, 7485, 984, 2065, 2899, 3932, 4792, 6129, 7221, 8260, 252, 1965, 2874, 3862, 5192, 5728, 6240, 8213, 489, 1147, 3099, 4096, 4456, 6110, 7217, 7254, 489, 1561, 3062, 3726, 4955, 6097, 6277, 7969, 716, 1842, 2946, 3849, 4602, 6105, 7233, 8025, 900, 1689, 3123, 4122, 4236, 5350, 7005, 8058, 781, 1689, 3140, 3960, 4866, 5369, 6628, 7438, 517, 1234, 2869, 3548, 4401, 5443, 7005, 7781, 363, 1922, 2137, 3735, 4709, 5944, 7136, 8157, 665, 1205, 2233, 3357, 4755, 5881, 6334, 7362, 1070, 1205, 2689, 3890, 5199, 6002, 7021, 7559, 768, 1897, 2346, 3618, 4847, 5325, 6825, 8251, 494, 1897, 2973, 3239, 4880, 5321, 6279, 7955, 738, 1335, 3112, 3601, 4301, 5754, 7043, 7538, 641, 1438, 2311, 3401, 4521, 5777, 6891, 7524, 610, 1370, 3074, 3432, 5138, 5886, 6423, 7688, 778, 1916, 3108, 3601, 4176, 6122, 6620, 7260, 887, 1499, 2391, 3404, 4763, 6187, 6840, 8121, 104, 1700, 2805, 3973, 5145, 5297, 6685, 8044, 1090, 1937, 2591, 3430, 4653, 5613, 7233, 8235, 1025, 1773, 2330, 3826, 5088, 5995, 6584, 8209, 610, 1238, 2994, 4106, 4653, 6085, 6410, 7557, 424, 1275, 3061, 3885, 4801, 5385, 7237, 7887, 1090, 1540, 2925, 4067, 4366, 5630, 6918, 8159, 804, 1791, 3006, 4108, 4549, 5705, 6515, 7870, 288, 1467, 2943, 4166, 5060, 5968, 6891, 7421, 568, 1898, 3147, 3931, 5135, 5845, 6901, 7732, 195, 1695, 3135, 3358, 4423, 5684, 6542, 7881, 568, 1804, 2665, 3838, 5080, 5296, 6354, 8008, 183, 1684, 2729, 3914, 4512, 5413, 6709, 8164, 859, 1332, 2783, 3994, 4611, 5883, 6901, 7732, 488, 1961, 3135, 3914, 4387, 6129, 7152, 8147, 915, 1620, 2164, 3982, 5138, 5296, 6584, 8147, 488, 1622, 2914, 3825, 5038, 6139, 7226, 8147, 488, 1528, 3117, 3367, 4624, 6186, 7077, 8196, 488, 1622, 3065, 3825, 4624, 6139, 7239, 8196, 915, 1622, 3021, 3893, 4387, 6186, 6584, 7766, 555, 1304, 2833, 3352, 4870, 5438, 6338, 7865, 105, 2127, 2839, 3648, 4549, 6001, 7098, 7831, 488, 1752, 2164, 3893, 5159, 6182, 6604, 7664, 945, 1528, 3065, 3893, 4798, 5635, 7124, 8196, 142, 1622, 2914, 3825, 4624, 6186, 7077, 8147, 419, 1851, 3065, 3914, 4877, 5241, 6889, 7715, 256, 1831, 2239, 3291, 5138, 6113, 7103, 8237, 1065, 1807, 2453, 4026, 4501, 5479, 7215, 7542, 739, 1550, 2335, 3924, 5015, 5391, 6783, 7516, 487, 1689, 2695, 3924, 5040, 5292, 6814, 8156, 1045, 1249, 2453, 4055, 4878, 5298, 6308, 7609, 399, 1279, 2309, 3415, 4929, 5603, 6728, 7617, 1036, 1782, 2683, 3851, 4539, 6135, 6241, 8132, 668, 1896, 2581, 3767, 4785, 5629, 6952, 7590, 668, 1241, 2570, 3535, 4985, 5257, 7043, 7833, 668, 1286, 2570, 3543, 4226, 5410, 6308, 7727, 403, 1407, 2449, 3376, 4478, 5402, 7043, 7971, 914, 1333, 2729, 3901, 4782, 6007, 6688, 7718, 571, 1403, 3006, 4152, 4849, 5899, 6786, 7664, 512, 2091, 3043, 3767, 4323, 6070, 6872, 7379, 684, 2091, 2717, 3374, 5127, 5684, 6752, 8195, 512, 2068, 3092, 3710, 4980, 6128, 7095, 8076, 684, 1833, 3021, 3932, 4912, 5678, 7157, 8260, 512, 1833, 2946, 3932, 4912, 5475, 7129, 8185, 132, 1804, 3092, 3803, 4980, 5767, 7077, 8185, 510, 1833, 2838, 3710, 4622, 6182, 6988, 8145, 512, 1833, 3043, 3886, 4912, 5901, 6709, 8237, 684, 1750, 2960, 3866, 4780, 5219, 6988, 8260, 510, 1869, 2542, 4171, 5060, 5832, 6972, 8179, 914, 1370, 3143, 3945, 5061, 5241, 6515, 7715, 132, 1847, 3060, 4068, 4870, 5832, 6996, 7723, 427, 1847, 3143, 4171, 4558, 6085, 6967, 7887, 401, 1175, 3143, 3188, 4215, 6085, 7222, 8080, 216, 1175, 3143, 3501, 4554, 5534, 6566, 8260, 262, 2095, 2360, 3732, 4414, 5994, 6707, 8135, 692, 1509, 2511, 4004, 4470, 5436, 7010, 7768, 1080, 1758, 2232, 3430, 4936, 5280, 6615, 7571, 547, 1586, 2934, 3711, 4691, 5372, 6410, 8252, 938, 1510, 2601, 3164, 4454, 5331, 6648, 7386, 1038, 2095, 3013, 4149, 4269, 5476, 7085, 8258, 545, 1570, 2716, 4149, 4978, 6068, 6544, 7825, 582, 1164, 2990, 4149, 4934, 6102, 6950, 8266, 986, 1608, 2565, 3709, 4934, 6097, 6765, 7752, 545, 2127, 2222, 3245, 5067, 6145, 7229, 7784, 582, 2024, 3091, 4015, 4220, 5615, 6657, 7442, 487, 1827, 2646, 4095, 4246, 5470, 6965, 7702, 986, 1726, 2946, 3272, 5145, 6086, 7154, 8189, 876, 1516, 2710, 3623, 4586, 5797, 6917, 7468, 770, 1518, 2380, 3360, 4881, 5387, 6918, 7712, 1051, 1378, 2271, 3601, 5130, 6222, 6254, 8107, 984, 1900, 2996, 4096, 4877, 5413, 6929, 7985, 475, 1961, 2746, 3240, 5106, 5705, 6752, 7720, 171, 1856, 2946, 3512, 5145, 5677, 7148, 7816, 100, 2065, 2346, 3220, 4600, 6054, 6742, 8254, 293, 1105, 2346, 3547, 4428, 5486, 6276, 8138, 673, 1535, 2514, 3981, 4943, 5344, 6308, 7534, 302, 1603, 2782, 3245, 4864, 5874, 7126, 7751, 161, 1183, 2325, 3474, 4392, 6021, 6629, 7663, 655, 1183, 2607, 4073, 4707, 5817, 7138, 8248, 368, 1183, 2940, 3466, 4707, 5660, 6521, 7910, 835, 1183, 2247, 3508, 4246, 5946, 6701, 7986, 802, 1503, 2304, 3254, 4542, 5884, 6619, 7979, 1006, 1199, 2692, 3304, 4573, 5813, 6901, 7336, 981, 1385, 2309, 3234, 4930, 5910, 6973, 8242, 401, 1777, 2340, 3389, 4908, 6070, 6859, 7256, 390, 1280, 2293, 3869, 5104, 5586, 6774, 8093, 804, 1770, 3006, 3811, 4512, 5883, 6786, 8083, 512, 1945, 2860, 3188, 4583, 6182, 7239, 8179, 132, 1175, 2858, 4011, 4387, 5687, 6850, 8237, 475, 1581, 3144, 3827, 5104, 5493, 6589, 7870, 390, 1750, 2803, 3990, 4859, 6087, 6694, 7806, 390, 2064, 3064, 3886, 4583, 5694, 6588, 7908, 1071, 1664, 2389, 4098, 4215, 5418, 7044, 7658, 160, 1998, 2727, 4055, 4222, 5983, 6787, 8261, 504, 1897, 2203, 3386, 4857, 6096, 6491, 7638, 802, 1469, 2766, 3376, 4857, 5994, 6376, 7924, 803, 1503, 2321, 3729, 4774, 5678, 6286, 8182, 314, 1199, 2705, 3770, 4335, 6023, 6229, 8109, 1080, 1655, 2887, 3178, 4928, 5453, 6456, 7536, 1080, 2047, 2777, 3770, 4864, 5653, 6609, 8270, 725, 1537, 2629, 3871, 4717, 5286, 6440, 7659, 153, 1421, 2870, 3851, 4788, 6166, 6934, 8002, 401, 1736, 3032, 3994, 5080, 6147, 7001, 8185, 304, 1509, 2780, 3616, 4387, 6175, 6648, 7631, 231, 1403, 2970, 4089, 4542, 6163, 7222, 8137, 886, 1543, 3116, 3655, 4840, 6217, 6566, 7810, 862, 2047, 3097, 3764, 4458, 5752, 6663, 8154, 381, 1120, 2830, 4137, 4446, 5387, 6309, 7812, 862, 1438, 2951, 3599, 4406, 5516, 6793, 7441, 234, 1849, 2725, 3305, 4571, 5727, 6328, 7743, 234, 1234, 2951, 3416, 4811, 6118, 6926, 7627, 844, 1938, 2414, 3300, 4934, 5974, 7232, 7764, 304, 1797, 2239, 3692, 5007, 5767, 6613, 7919, 304, 2063, 2970, 4097, 5159, 5767, 7132, 7764, 304, 1791, 2391, 3226, 4589, 6128, 6752, 8179, 390, 1581, 2833, 3777, 4529, 5883, 6884, 8083, 715, 1388, 2941, 3726, 4586, 5424, 6840, 8083, 613, 2079, 2288, 3407, 5157, 6154, 6810, 7682, 756, 1238, 2369, 3904, 4743, 5513, 6486, 8017, 756, 1218, 3038, 3710, 4555, 5981, 6607, 8227, 256, 1931, 2783, 4115, 4606, 5521, 6286, 8078, 878, 1809, 2398, 4151, 4737, 6149, 6604, 8205, 756, 1467, 3095, 4068, 4586, 5296, 6719, 7715, 448, 1597, 3008, 3838, 4555, 6123, 6614, 7515, 886, 1759, 2858, 3171, 4918, 5266, 6470, 7660, 888, 1682, 2729, 4082, 4474, 5497, 6720, 7799, 1028, 1971, 3077, 4137, 4457, 5600, 6573, 8133, 612, 2120, 2725, 4137, 4288, 6069, 6247, 7495, 681, 2118, 2562, 3463, 4664, 5927, 6224, 7502, 737, 2115, 2577, 3368, 4734, 5902, 6775, 8242, 1070, 1306, 2625, 3394, 4363, 5909, 7133, 7420, 1023, 1900, 2380, 3421, 4722, 5787, 6424, 7424, 363, 1140, 2194, 3393, 4326, 5387, 6724, 8012, 1023, 1318, 2725, 3322, 4858, 5581, 7133, 7365, 465, 1830, 2691, 3839, 4599, 5584, 6999, 7940, 884, 1982, 2992, 3851, 4321, 5362, 7081, 7804, 304, 1774, 2734, 3897, 4340, 5660, 6929, 7582, 304, 1683, 2151, 3887, 4595, 5432, 7130, 7872, 804, 1943, 2151, 4152, 5096, 6128, 7168, 7497, 1020, 1540, 2912, 3470, 4727, 6120, 7120, 7873, 1014, 1820, 3112, 4094, 4796, 5811, 6909, 7592, 1033, 1915, 3021, 3352, 4681, 6056, 6921, 8112, 487, 1773, 2872, 4085, 4900, 5904, 6614, 7488, 487, 1991, 2872, 4130, 4683, 5942, 6551, 7559, 487, 2048, 2872, 3648, 4567, 5810, 6892, 8137, 487, 1689, 2697, 3851, 4176, 5660, 7086, 8225, 487, 1140, 2492, 3586, 5176, 6118, 6958, 8144, 845, 2117, 2872, 3936, 4934, 6179, 6929, 7385, 807, 1689, 2789, 4054, 5130, 5783, 6231, 7679, 465, 1458, 2817, 3969, 5029, 5224, 6908, 7420, 582, 1930, 2346, 3848, 4839, 5831, 6773, 7799, 545, 1915, 2751, 3268, 5024, 6040, 6840, 8222, 545, 1167, 2830, 3421, 4890, 5929, 7046, 7318, 103, 1721, 2554, 3727, 4606, 6146, 6224, 7488, 103, 1978, 2490, 3276, 4267, 5797, 6677, 7761, 1090, 2008, 2544, 4026, 5145, 6146, 6772, 8146, 405, 1577, 2970, 3425, 5104, 5811, 6810, 7831, 512, 1620, 3021, 3752, 4430, 6211, 6671, 8076, 183, 1331, 2727, 4153, 5085, 5616, 6486, 7664, 118, 1945, 2941, 3994, 4648, 5781, 6684, 8193, 757, 1238, 2752, 3593, 4437, 5320, 6238, 7549, 1102, 1736, 3053, 3592, 4489, 5825, 6913, 7764, 91, 2125, 2975, 3894, 5192, 5844, 6732, 8233, 211, 1700, 2793, 3188, 4592, 5438, 7111, 7421, 390, 1581, 2754, 4135, 5115, 5749, 6376, 7290, 1071, 1700, 2860, 3440, 4822, 5573, 6668, 7594, 1071, 1428, 3072, 3916, 5139, 5469, 7114, 7985, 104, 1563, 3060, 3614, 5106, 5634, 7007, 7825, 299, 1986, 3092, 3167, 5188, 6073, 6847, 7991, 462, 1507, 2429, 3521, 4943, 5384, 6650, 7930, 462, 1507, 2401, 3395, 5188, 5768, 7229, 7852, 462, 1636, 2314, 3298, 4449, 6077, 6917, 7728, 613, 1636, 2678, 3442, 4887, 5704, 7232, 8132, 308, 1966, 2381, 3917, 4276, 5892, 6604, 7770, 899, 1452, 2369, 3918, 5106, 5767, 7103, 7528, 440, 1885, 2980, 4026, 4412, 5873, 6494, 7508, 901, 1676, 2232, 3253, 4727, 6058, 7012, 7831, 752, 2091, 3097, 3973, 4305, 6160, 6302, 7383, 117, 1550, 2271, 4095, 4354, 6187, 6224, 7885, 1083, 1550, 2531, 3525, 4949, 6187, 6883, 8129, 806, 1906, 2940, 3513, 4460, 5650, 6883, 7785, 807, 1388, 2346, 3665, 4191, 5982, 6614, 8029, 487, 1669, 2474, 3225, 4364, 5486, 6991, 8097, 325, 1550, 2797, 3225, 4529, 6068, 7043, 8037, 988, 1550, 2136, 3586, 4592, 5734, 6863, 7684, 839, 1797, 2717, 3460, 4377, 5734, 7053, 7741, 1071, 1382, 2860, 3994, 5138, 5824, 7075, 7513, 1025, 1850, 3089, 4080, 4966, 6014, 6692, 8266, 1035, 1238, 2783, 3464, 4277, 5539, 6520, 8066, 752, 1978, 2705, 3962, 4330, 5219, 6298, 7944, 160, 2063, 2924, 3342, 4727, 5908, 6710, 8114, 844, 1944, 2579, 4128, 4246, 5474, 7096, 7984, 708, 1326, 2402, 3993, 4338, 5729, 6663, 7940, 863, 1593, 2692, 3983, 4421, 5421, 6608, 7849, 750, 1550, 2579, 3717, 4239, 5474, 6507, 7707, 952, 1164, 2998, 3601, 5085, 5810, 6701, 7791, 160, 1178, 2740, 3417, 4644, 5349, 7010, 7962, 807, 1881, 2559, 3873, 4439, 5413, 7229, 8085, 487, 1887, 2608, 3993, 4330, 5509, 6944, 7930, 826, 1550, 2232, 3524, 4364, 5700, 6335, 7810, 545, 1700, 2422, 3838, 5144, 5734, 6619, 7873, 927, 2071, 3116, 4030, 4982, 6061, 6944, 7912, 576, 1943, 2992, 3480, 4321, 5279, 6286, 7759, 317, 1809, 2989, 3904, 4555, 5656, 6708, 8163, 225, 2021, 2803, 3470, 4945, 6007, 6663, 8260, 317, 1519, 2444, 3555, 4588, 5548, 6348, 7887, 231, 1946, 2167, 3900, 5016, 5810, 6827, 7252, 613, 1461, 2550, 4143, 4902, 6002, 7024, 7318, 1102, 1510, 2943, 3555, 4756, 6000, 7111, 7627, 645, 1986, 3026, 3771, 4971, 5894, 6348, 7336, 211, 1566, 2254, 3918, 4834, 5534, 7162, 8080, 424, 1797, 3038, 3987, 5115, 5982, 6655, 7574, 750, 1146, 2396, 4093, 4339, 5320, 7120, 8189, 831, 1867, 2708, 4098, 4755, 6085, 7111, 8185, 424, 1577, 2221, 3732, 4186, 5850, 7193, 7303, 614, 1562, 3143, 3995, 4215, 5749, 6633, 8009, 802, 1881, 2639, 3856, 4514, 6077, 7078, 7948, 930, 1736, 2136, 3249, 4945, 6104, 6903, 8128, 806, 1758, 2242, 4067, 4623, 5973, 6239, 7538, 487, 2079, 3147, 3710, 4762, 6163, 6591, 7250, 545, 1283, 2453, 3986, 4671, 5800, 6611, 7288, 516, 1186, 2369, 3986, 5098, 5298, 6740, 7799, 986, 1905, 2987, 3843, 4364, 5719, 6889, 7318, 317, 1577, 2987, 3771, 4949, 6135, 7096, 7648, 663, 1858, 2858, 3789, 4298, 5462, 6325, 7476, 571, 1554, 2355, 3485, 4225, 5981, 6677, 7962, 684, 1519, 2741, 3537, 4800, 5504, 6273, 7828, 914, 1281, 3008, 3726, 4555, 5719, 6809, 7927, 956, 1804, 3021, 3226, 4265, 5580, 6668, 8179, 818, 1804, 2946, 3945, 4512, 5705, 7226, 8261, 915, 1623, 2554, 3914, 4888, 5550, 7201, 7766, 105, 2097, 3064, 3866, 5134, 5678, 6604, 8267, 105, 1750, 3065, 3550, 4762, 5219, 6579, 7865, 183, 2114, 3021, 4026, 4737, 6015, 6671, 7715, 568, 1706, 2717, 3555, 4549, 5493, 7160, 8236, 118, 1289, 2942, 3838, 4459, 5840, 6810, 7973, 183, 2106, 3144, 3225, 4611, 5678, 7160, 7799, 568, 2013, 2717, 3771, 4611, 5215, 6338, 8046, 568, 2013, 3021, 3803, 4228, 5677, 7100, 7985, 568, 1954, 2802, 3172, 4937, 5283, 6724, 8056, 183, 1623, 3021, 3550, 4700, 5918, 7163, 7570, 183, 2034, 2454, 3879, 4615, 5514, 7232, 7480, 118, 1286, 2440, 3851, 4878, 5350, 6579, 7291, 757, 2127, 2432, 4068, 5124, 5549, 6333, 8093, 118, 1286, 3021, 4006, 4855, 5935, 7232, 7260, 568, 1876, 2585, 3857, 4877, 5400, 6833, 7929, 183, 1905, 3021, 3648, 4993, 5580, 7160, 7811, 568, 1623, 2560, 4096, 5138, 5650, 6383, 7483, 757, 2034, 2230, 4168, 5143, 5901, 7232, 7542, 183, 2034, 2683, 4096, 4737, 6149, 6892, 7264, 617, 2034, 2432, 3407, 4512, 5385, 7090, 7485, 105, 1269, 3021, 3277, 4681, 5218, 7160, 7557, 859, 1961, 2454, 3803, 4512, 5385, 6996, 7831, 555, 2111, 3021, 3407, 4512, 6137, 6515, 7664, 555, 1623, 2833, 3803, 4681, 5811, 7226, 7303, 915, 1623, 3021, 3838, 5053, 5635, 6988, 7876, 818, 1648, 3021, 4071, 4624, 5241, 6996, 8196, 818, 1623, 2914, 3825, 4624, 5981, 6584, 7715, 818, 1648, 2914, 3893, 4622, 6139, 6996, 8237, 915, 1623, 2729, 3367, 4798, 5981, 7226, 8223, 4, 2 ]

[ 1, 66, 16, 42, 33, 31, 35, 5, 76, 45, 31, 5, 16, 5, 41, 77, 73, 5, 17, 75, 5, 31, 33, 63, 5, 77, 17, 55, 5, 16, 51, 76, 39, 54, 66, 16, 54, 64, 44, 78, 5, 5, 3, 142, 2017, 2914, 4174, 4704, 6186, 7168, 8147, 915, 2111, 2886, 3914, 4762, 5901, 6515, 7949, 488, 1648, 3117, 3367, 4624, 5901, 7124, 8196, 488, 1648, 2806, 3893, 4624, 6139, 7226, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 421, 1865, 2487, 4165, 5150, 5934, 6614, 7473, 568, 2111, 3006, 4128, 4423, 5481, 6347, 7844, 731, 1283, 2759, 3648, 4470, 6118, 6816, 7939, 318, 1566, 2629, 4003, 4733, 5642, 6820, 8149, 761, 1771, 2946, 3822, 4855, 5863, 7012, 7899, 826, 1773, 2870, 4162, 4902, 5993, 7094, 7367, 955, 1791, 2791, 4082, 4845, 5262, 7004, 7827, 211, 1966, 2573, 3391, 4829, 5661, 7017, 7816, 684, 1577, 2940, 3909, 4533, 5586, 7168, 7664, 914, 1945, 3043, 4108, 4622, 5210, 6515, 8237, 684, 1508, 2943, 3710, 5061, 5612, 6988, 7421, 421, 2060, 2717, 4147, 4321, 6170, 7119, 7525, 986, 1567, 2583, 3327, 4709, 5298, 6849, 8073, 766, 1808, 2346, 3396, 4641, 5800, 6438, 7868, 774, 2034, 2346, 3644, 4546, 6165, 6307, 8086, 774, 1283, 3116, 3237, 4678, 5696, 6441, 8039, 774, 1653, 2725, 3328, 4598, 5537, 6348, 7536, 738, 1653, 2720, 3670, 5074, 5935, 7233, 7321, 856, 1835, 2346, 3749, 4756, 6034, 7131, 7291, 678, 2059, 2793, 3266, 4582, 5684, 6335, 7519, 779, 1924, 2868, 3413, 5058, 5584, 6709, 7659, 859, 1675, 2244, 4085, 4573, 5543, 6588, 8107, 878, 1939, 2926, 3936, 4814, 5734, 6734, 7753, 715, 1139, 3006, 3987, 4762, 5810, 6671, 7538, 1024, 2059, 2346, 3766, 4363, 6142, 6487, 7710, 888, 1141, 2890, 3986, 5090, 5498, 6373, 8114, 981, 1934, 2741, 3246, 4350, 5552, 6849, 7793, 1035, 1653, 2258, 3496, 4547, 5209, 6574, 7366, 610, 1275, 2787, 3885, 4727, 6080, 7025, 7793, 887, 1255, 3140, 4097, 4636, 5697, 6969, 7781, 850, 1637, 2641, 3962, 5165, 5978, 6980, 7677, 610, 1577, 3095, 3684, 4939, 5874, 6579, 7816, 1090, 1120, 3121, 3776, 5080, 5543, 6344, 7895, 610, 1275, 2194, 3420, 4282, 5740, 7218, 8185, 1090, 1686, 2776, 3240, 4530, 5684, 7219, 7776, 970, 1663, 2944, 3756, 4570, 5909, 7218, 7513, 938, 2084, 2515, 3751, 4361, 5984, 6910, 8139, 862, 1596, 2868, 3751, 4723, 6176, 6625, 7676, 1052, 1653, 2561, 3870, 5049, 6221, 6348, 8197, 1056, 1139, 2667, 3929, 4225, 5432, 6241, 7318, 684, 1885, 2720, 3664, 4801, 5892, 6348, 7436, 901, 1257, 2627, 3811, 5018, 5706, 6604, 7927, 878, 1918, 3098, 3918, 4785, 5344, 6605, 7855, 752, 1141, 2163, 3214, 4179, 5824, 7232, 8245, 1035, 1691, 2868, 3801, 4747, 5714, 6840, 7892, 893, 2117, 3137, 3600, 4446, 5799, 6692, 7873, 893, 1199, 2963, 4072, 4731, 6119, 6267, 7978, 750, 1145, 2232, 3405, 4571, 5684, 6539, 7794, 518, 1918, 3064, 3555, 4881, 6180, 6716, 7941, 518, 1389, 2729, 3595, 4423, 5378, 6716, 7355, 518, 1913, 2947, 3857, 4592, 5259, 6996, 7723, 440, 2073, 2677, 3827, 4275, 5650, 7218, 7365, 440, 2106, 2154, 3225, 5120, 6070, 6589, 8195, 878, 2111, 3064, 3866, 5197, 5811, 6306, 7509, 518, 1620, 2560, 3803, 5165, 5581, 6840, 7959, 518, 1976, 3062, 3555, 4622, 5360, 7023, 8126, 568, 1623, 2989, 3359, 4870, 6052, 6966, 7932, 617, 2127, 2341, 3827, 4304, 5609, 6799, 7822, 617, 1286, 3144, 3352, 4790, 5219, 7220, 7743, 914, 1577, 2771, 3963, 4555, 5746, 6540, 7421, 160, 2033, 2601, 3943, 4900, 5694, 6348, 7996, 160, 1692, 2895, 3764, 4696, 5212, 6632, 7311, 807, 1754, 2601, 3939, 4934, 5445, 6642, 8048, 936, 1586, 2166, 3943, 5019, 6118, 6553, 7558, 1025, 1809, 2548, 3543, 4606, 5384, 6566, 8172, 826, 1275, 2564, 3770, 4777, 5764, 6966, 7750, 104, 1878, 2564, 3430, 4376, 5893, 6970, 8178, 641, 1682, 2847, 3732, 4204, 6198, 6415, 7954, 424, 1499, 2803, 3314, 5096, 5604, 6859, 7955, 104, 1873, 3095, 3829, 4859, 5574, 6730, 7722, 1025, 1727, 3122, 3769, 5145, 5227, 7149, 7976, 1035, 1670, 3040, 4105, 4781, 5888, 6736, 7846, 826, 2061, 2347, 3915, 5023, 5917, 6746, 7969, 150, 2061, 2977, 3195, 5031, 5716, 6607, 7659, 150, 2050, 2658, 4015, 4445, 6019, 6680, 7508, 876, 2050, 2389, 3894, 5023, 5431, 7233, 8189, 1008, 1199, 2503, 3162, 4991, 5325, 6477, 8151, 1024, 1199, 2715, 3249, 4595, 5898, 7017, 7865, 1022, 1840, 2399, 4151, 5100, 6022, 6583, 8050, 645, 1338, 2137, 3418, 4442, 5838, 6976, 7904, 610, 1141, 2931, 3454, 4729, 5804, 7069, 7948, 756, 2093, 2868, 3934, 4519, 5983, 7028, 7451, 804, 1992, 2960, 4011, 5183, 5830, 6967, 7876, 899, 1238, 2989, 3671, 4398, 5981, 6740, 7821, 1037, 1597, 2895, 3932, 4470, 5218, 7140, 8245, 980, 1560, 2503, 4174, 5128, 5521, 6884, 7962, 756, 1233, 3053, 3961, 4855, 5296, 6614, 7750, 572, 1675, 2606, 4153, 4860, 5657, 7122, 7901, 547, 1472, 2288, 3309, 5157, 5825, 6510, 7865, 702, 1421, 2346, 3182, 4813, 6075, 6899, 8205, 668, 2079, 2487, 3421, 4751, 5665, 6919, 7312, 569, 1706, 2487, 3298, 4991, 5510, 6345, 7318, 992, 1397, 2559, 3943, 5001, 5480, 6574, 8188, 692, 1653, 2771, 3968, 4814, 5490, 6242, 8070, 802, 1570, 2987, 3723, 5015, 5793, 6800, 8079, 880, 1323, 2346, 3605, 4415, 5703, 6859, 8128, 569, 1286, 2987, 3910, 4796, 6056, 6410, 8174, 806, 1586, 2705, 3487, 5074, 5574, 6623, 7445, 1038, 1653, 2371, 4080, 5169, 5441, 6767, 7386, 614, 1586, 2222, 3268, 4966, 5613, 7135, 7902, 487, 1816, 2355, 3851, 4213, 6193, 6944, 8139, 487, 1924, 2402, 3770, 4948, 5733, 7043, 8205, 986, 1771, 2692, 3305, 5031, 5637, 6900, 8235, 545, 2079, 2692, 3570, 4949, 5743, 6370, 7383, 610, 1906, 2783, 3300, 4920, 5276, 7052, 7887, 1090, 1206, 2520, 3358, 4920, 5588, 6749, 8245, 955, 1876, 2795, 3500, 4716, 5811, 6815, 7496, 1037, 1906, 2787, 3543, 4696, 5574, 7222, 7887, 980, 1928, 2941, 4043, 4764, 5893, 6840, 7476, 1059, 1834, 3062, 3472, 4629, 5745, 6918, 7887, 807, 1562, 2309, 3943, 4213, 5979, 6818, 7794, 862, 1118, 2346, 3851, 4971, 5950, 6625, 7902, 572, 2086, 2487, 3844, 4255, 5671, 6571, 7737, 1028, 2057, 2271, 3551, 5023, 5594, 6262, 7888, 569, 1346, 2845, 4053, 4678, 6101, 6344, 7823, 974, 1415, 2395, 3486, 5094, 5898, 7120, 7385, 778, 1398, 2583, 3921, 4848, 5741, 6481, 8128, 335, 2063, 2440, 4067, 4267, 5457, 6469, 7401, 424, 2091, 2440, 4078, 5019, 5624, 6840, 7900, 1035, 1141, 2463, 4004, 4556, 6172, 6603, 7797, 1090, 1141, 3039, 3910, 4733, 5765, 6959, 8026, 424, 1876, 2945, 3961, 4536, 6084, 6528, 8267, 850, 1858, 2330, 4096, 4690, 6166, 6315, 8171, 831, 1858, 2865, 3955, 4747, 5430, 6458, 7255, 293, 1660, 2565, 3603, 4802, 5605, 6422, 7954, 104, 1139, 2664, 3456, 4489, 6076, 6313, 8038, 1035, 1510, 2529, 3788, 5144, 5443, 6674, 8216, 752, 1832, 2655, 3533, 5157, 5957, 6684, 8266, 1090, 1455, 2293, 3351, 5169, 5835, 6348, 8241, 1037, 1587, 2293, 3488, 4529, 5310, 6799, 7664, 956, 1175, 2991, 3671, 4888, 5296, 7084, 7570, 818, 1467, 3135, 3440, 4980, 5705, 6515, 7421, 818, 2041, 2925, 3516, 4630, 6139, 7226, 7949, 818, 1992, 2803, 4011, 5080, 6205, 6794, 7949, 818, 1528, 3006, 3825, 5058, 6195, 7201, 8066, 956, 1218, 3117, 3710, 5058, 5241, 6786, 8185, 296, 1334, 2759, 3780, 4282, 5643, 6415, 7260, 1094, 1196, 2965, 3667, 5025, 5390, 6756, 8154, 833, 2045, 2383, 3975, 4583, 5598, 6962, 7644, 223, 1460, 3053, 4027, 5165, 5824, 6613, 8126, 806, 1660, 3140, 3176, 4891, 6016, 6687, 7363, 974, 1178, 2894, 3853, 4751, 5665, 7057, 8159, 399, 2075, 2581, 4079, 4364, 6135, 6991, 8148, 1040, 1252, 2762, 3913, 4723, 5447, 6275, 7483, 880, 1561, 2566, 4067, 4321, 6180, 6617, 8000, 881, 1118, 2945, 3366, 4652, 5778, 6816, 7946, 487, 1653, 2817, 3358, 5111, 5637, 6532, 7869, 902, 1118, 2346, 3396, 4775, 5202, 6654, 8117, 391, 1994, 2346, 3350, 4913, 5957, 6543, 8027, 487, 2083, 2309, 3943, 4681, 5776, 6606, 7618, 335, 1455, 2593, 4137, 5000, 5610, 6625, 7791, 390, 1147, 2480, 3908, 4362, 6135, 7023, 7305, 756, 1948, 2167, 3857, 4611, 5968, 6954, 7303, 513, 1186, 3097, 3957, 4374, 5778, 6626, 8126, 756, 2021, 3095, 3771, 5083, 5493, 6579, 7248, 750, 1623, 3007, 3595, 5138, 5771, 6810, 8086, 650, 1606, 2369, 4015, 5142, 5624, 6256, 7846, 1071, 1570, 2316, 3840, 5110, 5360, 6917, 7973, 1035, 1570, 2715, 4106, 4426, 5339, 6292, 8066, 1003, 1570, 2326, 3788, 4952, 6065, 6913, 7894, 806, 1935, 2156, 3970, 4513, 5793, 7232, 8227, 614, 1363, 3091, 3516, 4694, 5933, 6343, 7858, 424, 1238, 3053, 3402, 4430, 5981, 6871, 8083, 1090, 1335, 2701, 4067, 4440, 5883, 7019, 7748, 610, 1330, 3043, 3361, 5166, 5641, 7120, 8066, 390, 1139, 2254, 3188, 4555, 5797, 6918, 7631, 228, 1905, 2326, 3857, 4890, 6213, 6296, 7778, 654, 1742, 2398, 3789, 4289, 5514, 6371, 8261, 195, 2077, 3068, 3595, 4863, 5530, 7100, 7490, 195, 1935, 3144, 3550, 5120, 5719, 6576, 8076, 654, 2106, 2833, 4125, 5038, 5218, 7168, 7537, 654, 2106, 2839, 3786, 5150, 5210, 7090, 7677, 256, 1623, 2221, 3914, 4304, 6205, 6584, 7887, 390, 1946, 2980, 4069, 5168, 5586, 6671, 8066, 160, 1441, 2327, 3762, 4289, 6002, 6372, 7891, 1040, 1570, 3074, 3728, 4887, 5285, 6870, 8015, 807, 1421, 2814, 4015, 4708, 5814, 6702, 7415, 839, 1472, 3074, 3372, 4926, 5519, 6756, 7419, 920, 1881, 3074, 3613, 4664, 5706, 6919, 7785, 104, 1570, 3040, 3631, 4872, 5325, 6783, 7386, 880, 1350, 2830, 3824, 4848, 5960, 6314, 8209, 881, 1570, 2587, 3485, 4709, 5390, 7243, 7736, 806, 1570, 2137, 3480, 4598, 5584, 7063, 7984, 807, 2114, 2559, 3298, 4236, 5734, 7225, 8139, 309, 1323, 2514, 3251, 4510, 5366, 7082, 7534, 576, 1421, 2951, 3305, 4604, 6215, 7013, 7773, 654, 1683, 2341, 3822, 4945, 5521, 6815, 7364, 654, 2041, 2992, 3904, 4762, 5787, 6909, 7980, 654, 1370, 3035, 3395, 4863, 5697, 7129, 7349, 654, 1345, 2924, 3555, 5168, 5944, 6898, 7887, 225, 1575, 2669, 3914, 4459, 5550, 6519, 8070, 256, 1752, 2469, 3376, 5160, 5333, 6991, 8076, 552, 1750, 2918, 3407, 5104, 5296, 6589, 7865, 818, 1622, 3095, 3550, 4870, 5514, 7168, 7806, 419, 1750, 2806, 3550, 4888, 5514, 7132, 8080, 419, 1750, 2221, 4071, 4624, 5296, 7006, 8164, 915, 1648, 3065, 3827, 4555, 5677, 6996, 8147, 4, 2 ]

[ 1, 41, 63, 14, 54, 64, 5, 76, 11, 78, 5, 76, 26, 30, 5, 16, 76, 39, 51, 5, 31, 16, 5, 54, 33, 51, 64, 66, 5, 53, 20, 63, 54, 44, 55, 5, 5, 3, 256, 1597, 2998, 3233, 5060, 6131, 6466, 7865, 952, 1851, 2938, 3440, 4607, 6218, 7046, 7363, 1057, 1966, 2348, 4093, 4548, 5768, 6243, 7918, 283, 2048, 2544, 3635, 4332, 6078, 6614, 7329, 83, 1250, 2334, 3292, 4442, 5565, 6741, 7634, 631, 1883, 2332, 3423, 5144, 6053, 6376, 7752, 491, 1212, 3066, 3793, 5144, 5251, 6763, 7991, 883, 1728, 3040, 4072, 5065, 5803, 6828, 7450, 221, 1402, 3030, 3944, 5124, 5938, 6447, 7378, 179, 1826, 2727, 4007, 4285, 5547, 6820, 8081, 1101, 1507, 2981, 3741, 4564, 5218, 6598, 8100, 363, 2099, 2987, 3989, 4675, 5357, 6905, 8139, 737, 2099, 2718, 4066, 5198, 6176, 6498, 7371, 730, 1356, 2861, 4015, 5148, 5587, 7150, 7299, 249, 1110, 2175, 3952, 4571, 5807, 6277, 7531, 386, 1938, 3105, 3997, 4983, 5454, 6442, 8200, 678, 1566, 2953, 4120, 4687, 5873, 6732, 7873, 401, 1268, 3080, 3880, 4536, 5705, 6996, 7895, 223, 2095, 2349, 3981, 4882, 5565, 6871, 7726, 731, 2095, 3080, 3776, 5075, 5444, 6776, 7508, 678, 1668, 2315, 4082, 4533, 5749, 7160, 7927, 453, 1265, 2943, 3943, 4638, 5574, 7168, 7856, 654, 1826, 3007, 3188, 4764, 6166, 6818, 8260, 654, 1804, 2729, 3866, 4870, 5515, 7090, 8179, 568, 1237, 2469, 3564, 4844, 5568, 7018, 8036, 617, 2002, 2858, 3680, 4555, 5436, 6749, 7303, 617, 1496, 2560, 3183, 4764, 5700, 7067, 8107, 617, 1833, 2858, 3891, 5160, 5963, 7168, 7707, 484, 1705, 3144, 3963, 4764, 6204, 6688, 7865, 335, 1668, 2860, 3956, 5080, 6182, 6752, 7607, 1067, 1972, 2743, 3931, 4206, 6206, 7112, 8137, 1009, 1545, 3151, 3756, 4565, 5500, 6469, 7813, 556, 1415, 2741, 3986, 4224, 5889, 6886, 7763, 632, 1509, 2693, 4015, 4883, 5795, 7001, 7904, 668, 1171, 2693, 3695, 4364, 6204, 6736, 8094, 613, 1554, 3020, 3245, 4811, 5899, 6723, 8061, 576, 2036, 2429, 3865, 4942, 5904, 6840, 7429, 228, 1523, 2293, 4143, 4181, 5793, 6607, 8205, 228, 1175, 2554, 3879, 4551, 5276, 7237, 7386, 317, 2059, 2734, 3627, 4846, 5962, 6566, 7669, 171, 1308, 2980, 3391, 4470, 5276, 6584, 7992, 980, 2097, 2858, 4006, 4651, 5923, 6850, 7959, 779, 1660, 2820, 3918, 4186, 5220, 6655, 8070, 308, 1943, 2838, 4071, 4588, 6111, 7132, 7570, 684, 2046, 2754, 3916, 4554, 5824, 7090, 8016, 390, 1933, 2925, 4085, 4533, 6129, 6996, 8076, 980, 1369, 2746, 3961, 4551, 5650, 7239, 8179, 610, 1893, 2932, 3816, 4257, 5332, 7047, 7791, 277, 2033, 2764, 3343, 5152, 6112, 6941, 7695, 368, 1469, 2154, 3229, 4910, 6104, 6241, 8222, 1050, 1469, 2786, 3403, 4506, 6194, 6456, 7952, 1050, 2110, 2963, 3700, 4506, 6202, 7134, 8255, 875, 1179, 2137, 3431, 5176, 5847, 7131, 7800, 472, 1393, 2869, 3389, 4364, 6020, 6263, 8269, 1070, 1212, 2459, 3194, 4364, 5816, 7088, 7670, 810, 1296, 2497, 4059, 5086, 5284, 6318, 7974, 1041, 1402, 2529, 4009, 4735, 6130, 6315, 8131, 876, 1286, 3121, 3600, 4804, 5874, 7094, 7870, 123, 1732, 2585, 3775, 4321, 5765, 6970, 7774, 344, 1732, 2309, 3767, 4367, 6184, 6674, 8046, 390, 1533, 2839, 3649, 5138, 5548, 6734, 8257, 1056, 1675, 2729, 3987, 5088, 6025, 7006, 8076, 707, 1685, 2139, 3975, 4966, 5486, 6624, 7986, 936, 1555, 3003, 3911, 4279, 5478, 7095, 7627, 936, 1555, 2309, 3167, 4337, 5450, 6623, 7741, 299, 1838, 3005, 3482, 5023, 5338, 6550, 7524, 150, 1469, 3091, 3386, 4734, 5773, 6452, 7954, 826, 1814, 2894, 3394, 4748, 5886, 6891, 7693, 610, 1104, 2554, 3584, 4690, 5886, 6472, 7393, 887, 1499, 2359, 4164, 5075, 5797, 6884, 8079, 955, 1620, 2679, 4115, 4662, 6025, 7132, 7361, 610, 1146, 2641, 4018, 4420, 5515, 6750, 7876, 1024, 1581, 3143, 3685, 4602, 5534, 7231, 7312, 895, 1477, 2923, 3950, 4337, 5716, 6710, 8006, 876, 1635, 2482, 3937, 4976, 6119, 6286, 7836, 1019, 1171, 2987, 3613, 5070, 6165, 7043, 7405, 807, 1832, 3116, 3756, 4482, 5264, 6563, 7365, 465, 1397, 2601, 3792, 4873, 5953, 6474, 7492, 487, 1924, 2543, 4162, 4571, 6118, 6340, 7702, 487, 1668, 2610, 3842, 4555, 5454, 7222, 7973, 940, 1550, 2436, 3662, 5134, 5466, 7229, 7826, 308, 1858, 2730, 3982, 5080, 6103, 6810, 7558, 914, 1876, 2144, 3226, 4630, 6146, 7218, 7557, 427, 1915, 3021, 4011, 5139, 6085, 7218, 8132, 899, 1147, 2591, 3891, 4344, 5436, 6709, 7664, 256, 1856, 2833, 3359, 4427, 5300, 6749, 7291, 153, 1684, 3064, 3886, 5083, 6165, 6604, 8107, 552, 2056, 3135, 3891, 4611, 5514, 7218, 7887, 186, 2111, 3095, 3891, 5104, 5219, 7120, 8185, 186, 1620, 2746, 3680, 5007, 6129, 6786, 7806, 818, 1648, 2781, 3886, 5061, 6186, 6979, 7485, 914, 1869, 3135, 3710, 5058, 5219, 6972, 7908, 1099, 1508, 3065, 3982, 5104, 6051, 7077, 7876, 571, 1523, 3098, 4108, 5139, 5586, 7218, 7887, 271, 1596, 2340, 3994, 4419, 5413, 6898, 7547, 314, 1596, 2678, 4073, 4364, 6180, 6421, 8022, 1023, 1828, 3066, 3600, 4205, 5305, 6724, 8095, 363, 2061, 2727, 3479, 4205, 5595, 7001, 8131, 1101, 1440, 2282, 3979, 5034, 5643, 6648, 7538, 610, 1331, 2149, 4025, 4439, 5202, 7133, 7384, 643, 1717, 2803, 3901, 4859, 5661, 7003, 7574, 150, 1255, 2462, 3922, 5124, 5297, 7003, 7387, 1025, 1918, 2863, 3472, 4541, 6004, 6576, 8058, 737, 1938, 2480, 4015, 4467, 6002, 6292, 8200, 536, 1438, 2725, 3213, 4351, 5512, 6847, 8050, 536, 1550, 2589, 3429, 4734, 5341, 7059, 7929, 952, 1942, 2659, 3778, 4604, 5555, 7215, 8189, 103, 1455, 3029, 3513, 5005, 5773, 6426, 7474, 779, 1330, 2369, 4145, 4859, 5767, 6349, 8117, 555, 1684, 2803, 4041, 4762, 5883, 6467, 8132, 967, 1804, 3026, 3827, 5129, 5472, 7002, 7717, 356, 1961, 2991, 3518, 5115, 5438, 7019, 8179, 183, 1147, 2709, 3446, 4836, 5730, 6338, 7254, 334, 1570, 2729, 3297, 5125, 5892, 6365, 7677, 225, 1719, 2693, 3518, 4606, 5840, 7201, 7941, 240, 2118, 3144, 4021, 4934, 6110, 7218, 7865, 789, 2111, 2970, 3470, 5138, 5223, 7006, 7715, 915, 2017, 2473, 3470, 4630, 5678, 7120, 7831, 419, 2017, 2806, 3827, 5088, 6129, 6604, 7303, 256, 1264, 2542, 3761, 4512, 5719, 7090, 8126, 568, 2017, 2554, 3394, 4890, 5705, 7091, 7753, 684, 2097, 2886, 4018, 4512, 5981, 6475, 7846, 304, 2000, 2754, 3961, 4374, 5366, 6566, 7336, 160, 1915, 2944, 3709, 4780, 5614, 6755, 7383, 778, 1755, 2429, 3929, 4859, 5216, 6688, 7290, 887, 1227, 2282, 4097, 4691, 5811, 6566, 8080, 104, 1935, 3149, 3457, 4982, 5350, 6605, 7768, 363, 1469, 2134, 3779, 4288, 6184, 7152, 8231, 536, 1469, 2782, 3954, 5128, 5658, 6579, 8149, 104, 1727, 3040, 4034, 4677, 5650, 6798, 8127, 113, 1469, 2336, 3601, 4570, 5989, 6537, 7869, 1030, 1117, 3040, 3519, 4364, 5465, 6694, 7925, 895, 1156, 2562, 3561, 4364, 5447, 7232, 7592, 271, 1751, 3040, 3940, 5110, 6210, 6935, 7559, 1057, 1672, 2391, 3421, 4653, 5423, 6414, 7262, 333, 2036, 2595, 4095, 4751, 5999, 7246, 7994, 113, 1512, 2336, 3361, 4327, 5457, 6507, 7535, 465, 1463, 3104, 3909, 4993, 5887, 6392, 8178, 850, 1545, 2656, 4096, 4187, 5852, 6520, 8140, 424, 1269, 2520, 3963, 4470, 5914, 6492, 7363, 850, 1633, 2436, 3901, 5115, 6044, 6642, 7476, 778, 1510, 2139, 4162, 4439, 5700, 6763, 7890, 880, 2118, 2902, 3394, 4530, 5506, 6723, 7858, 139, 1732, 2925, 3517, 4321, 6171, 7148, 7924, 404, 1550, 2751, 3750, 4534, 6117, 6995, 7442, 807, 1773, 2751, 3565, 4448, 5942, 7229, 8022, 545, 1146, 2440, 4072, 4526, 5460, 6588, 7488, 1025, 1296, 2661, 3968, 4764, 5277, 6828, 7971, 643, 1773, 3118, 3232, 4859, 5379, 6803, 8163, 887, 1858, 2727, 4096, 4849, 5864, 6430, 7256, 610, 1269, 3037, 4094, 4609, 5641, 6871, 8209, 940, 1682, 2946, 3895, 4981, 5413, 7207, 8085, 304, 1721, 2726, 3271, 5075, 5289, 6734, 7723, 211, 1924, 2899, 4145, 4573, 6211, 6467, 7631, 308, 1562, 2838, 4085, 5038, 6129, 6771, 8172, 1099, 1467, 2880, 4085, 4822, 6211, 7218, 8179, 818, 1648, 3128, 3825, 5104, 5832, 6972, 8267, 818, 2017, 2838, 4174, 4980, 6129, 7124, 7949, 818, 1620, 3117, 3367, 4980, 6129, 7124, 7723, 488, 1528, 3043, 3982, 4624, 6139, 7239, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1528, 2164, 3825, 5038, 5705, 7239, 8237, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 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, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2858, 3893, 5079, 6186, 6794, 8126, 186, 1648, 2858, 3932, 4798, 5635, 6996, 7723, 488, 1648, 2914, 3893, 4512, 5219, 6794, 8237, 488, 1648, 2806, 3893, 4624, 6139, 7226, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 26, 5, 67, 45, 55, 51, 5, 77, 73, 5, 16, 54, 30, 5, 26, 5, 76, 45, 52, 5, 64, 66, 14, 54, 30, 5, 14, 78, 5, 42, 69, 30, 5, 16, 5, 29, 14, 54, 64, 5, 14, 78, 5, 33, 54, 47, 5, 17, 75, 5, 31, 33, 53, 5, 5, 3, 142, 1648, 2914, 3825, 4704, 6211, 6752, 8147, 488, 1648, 2914, 3893, 4798, 6186, 6752, 8223, 488, 1648, 2914, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3893, 4704, 6186, 7226, 8196, 488, 1844, 2949, 4108, 4798, 5612, 7077, 7766, 818, 1191, 2164, 4108, 4366, 6081, 7124, 7723, 213, 1750, 3065, 3367, 4798, 6186, 7124, 7766, 940, 1560, 2833, 4174, 5060, 5942, 6889, 7846, 346, 1286, 2460, 3648, 4800, 5482, 6802, 8167, 612, 1597, 2951, 3743, 4813, 6034, 6346, 7618, 616, 1140, 3116, 3943, 4747, 5202, 6609, 8081, 752, 1581, 3033, 3413, 4592, 5697, 6704, 7397, 104, 2033, 2436, 3821, 4693, 5678, 6478, 7590, 104, 1255, 2661, 3271, 4872, 5749, 6830, 7881, 545, 1335, 2128, 3770, 4844, 5459, 6850, 8262, 1103, 1140, 2678, 3279, 5031, 5610, 6917, 7776, 1018, 1653, 2725, 3366, 5176, 5585, 6706, 8200, 647, 1653, 2363, 3835, 5062, 5325, 6783, 7502, 442, 1728, 2355, 3421, 4800, 6200, 6263, 7709, 665, 1689, 2953, 3460, 4314, 5742, 6409, 7337, 569, 1588, 2271, 3988, 4800, 6019, 7028, 8028, 806, 1140, 2487, 3639, 4896, 5204, 6943, 8092, 459, 1140, 2487, 3454, 4604, 5739, 6497, 7695, 863, 1677, 2355, 3788, 4800, 5510, 6991, 7627, 789, 2041, 2391, 3891, 4467, 5294, 7017, 8076, 878, 1976, 2783, 3277, 4844, 6131, 6874, 7297, 901, 1963, 2359, 3361, 5138, 5978, 7220, 7895, 955, 1304, 2833, 3975, 4737, 5474, 6810, 8209, 803, 1266, 2327, 3855, 5165, 6179, 6242, 7488, 1043, 1286, 2415, 3298, 4853, 6010, 6386, 7869, 737, 2117, 2717, 4072, 4927, 5818, 7043, 7376, 807, 1388, 2655, 4072, 4911, 5613, 6910, 7250, 614, 1706, 3033, 3756, 4364, 6145, 6655, 7959, 955, 1809, 2941, 3316, 4374, 5874, 6444, 7902, 211, 1931, 2809, 4005, 5138, 5695, 7157, 7555, 804, 1992, 2661, 3645, 4287, 5573, 6655, 7732, 356, 1885, 2975, 3951, 4633, 5797, 7149, 8263, 1020, 1436, 3079, 3314, 4588, 5838, 6493, 7936, 955, 1519, 2470, 3776, 4607, 5934, 6850, 7865, 986, 1630, 2352, 3358, 4795, 6119, 6397, 7920, 487, 1688, 2257, 3410, 4795, 5485, 6851, 7920, 545, 1504, 2595, 4095, 5011, 5565, 6790, 7538, 1006, 1832, 2595, 4043, 4753, 5678, 6612, 8203, 722, 1299, 3091, 3487, 4650, 6063, 6637, 7293, 1064, 1814, 2389, 3376, 4702, 5981, 6925, 7260, 1016, 1529, 2740, 3970, 5027, 5321, 7163, 7908, 722, 1913, 2999, 3300, 4715, 5405, 6481, 7976, 722, 1770, 2309, 3379, 4866, 5944, 6735, 7442, 1064, 1317, 2587, 3600, 4375, 5295, 7129, 7773, 1064, 1557, 2355, 3661, 5067, 6018, 7175, 7837, 91, 1411, 2829, 3944, 4238, 5976, 6474, 8132, 767, 1463, 3063, 3928, 4755, 5378, 6579, 7727, 831, 1477, 2316, 3472, 4954, 5545, 7222, 7687, 262, 1608, 2940, 4137, 4993, 5713, 6991, 8136, 296, 1222, 2185, 3298, 4622, 5295, 6426, 8258, 763, 1490, 2961, 3648, 4547, 6143, 7223, 8091, 508, 1904, 3060, 3596, 4777, 5670, 6226, 8017, 508, 1173, 2984, 3337, 4857, 6162, 6612, 7827, 763, 1503, 2381, 3526, 4892, 5381, 6582, 8225, 192, 1503, 2814, 4137, 4857, 5692, 6258, 7831, 810, 1331, 2309, 3507, 4727, 5676, 6309, 7709, 296, 1889, 2977, 4003, 4761, 5312, 6521, 7911, 296, 1889, 2987, 3765, 4187, 6147, 6721, 7900, 581, 1339, 2696, 4146, 4422, 5700, 6873, 7953, 192, 1339, 2332, 3343, 5093, 5402, 7207, 8025, 987, 1286, 2679, 4078, 4771, 5777, 6358, 7386, 391, 2118, 2298, 4063, 4215, 5418, 6775, 7717, 641, 2056, 2869, 3363, 5022, 5254, 6377, 7959, 262, 2056, 2234, 3870, 4379, 5958, 6282, 8079, 731, 2056, 2977, 3426, 5060, 6103, 6612, 7776, 391, 1318, 2233, 3796, 4856, 5540, 6408, 8261, 948, 1251, 2493, 3376, 4546, 6175, 6525, 7557, 547, 1723, 2493, 3685, 5036, 5590, 7198, 7865, 938, 1318, 2361, 3226, 4470, 5900, 6612, 7899, 864, 1582, 2161, 3544, 4273, 5805, 6796, 7810, 784, 1706, 2353, 3456, 4616, 5594, 6386, 8162, 1101, 1812, 2706, 3552, 5051, 5909, 7144, 7817, 223, 1507, 2518, 4067, 4273, 5594, 6674, 8257, 715, 1603, 2573, 4036, 4919, 5385, 7160, 8077, 225, 2098, 2317, 3822, 4333, 5578, 6830, 8103, 276, 2002, 2429, 3366, 4334, 5210, 6576, 8262, 654, 1566, 2554, 3413, 4423, 5223, 6346, 7936, 518, 1851, 2683, 3726, 5184, 5795, 6864, 8179, 256, 2111, 2683, 3826, 4872, 5565, 7129, 7831, 789, 1175, 2473, 4171, 4916, 5705, 6612, 7716, 256, 1851, 2820, 4026, 4980, 6129, 7098, 7563, 274, 1707, 2946, 3681, 5061, 6110, 6646, 7296, 767, 1820, 2654, 4074, 5076, 5761, 7157, 7563, 793, 1862, 2304, 3253, 4367, 5953, 6787, 7889, 761, 1349, 2785, 3924, 4539, 5948, 6743, 8211, 363, 1820, 2172, 4061, 4598, 5544, 7065, 7379, 611, 1554, 2820, 3535, 5140, 5346, 6529, 8058, 1101, 1688, 2791, 3924, 5195, 6144, 6735, 8096, 660, 1543, 2172, 3413, 4591, 5603, 7229, 8125, 611, 1794, 2869, 3355, 5031, 5346, 7073, 7967, 752, 1407, 2573, 3822, 4631, 5706, 6818, 7537, 1033, 1562, 3064, 3732, 5138, 6007, 6884, 8076, 1071, 1369, 2903, 4096, 5138, 6192, 6281, 7916, 223, 1363, 2946, 3917, 5138, 5250, 6646, 7865, 952, 1777, 2139, 3886, 4239, 5824, 6568, 7753, 761, 1826, 2316, 3509, 4748, 5368, 6820, 8205, 803, 1726, 3116, 3601, 5031, 5320, 6503, 7952, 803, 1554, 3126, 3261, 5031, 5560, 6328, 7937, 803, 1554, 2725, 3601, 4364, 6145, 6447, 7957, 487, 1140, 3005, 3277, 4288, 5942, 6476, 8007, 487, 1719, 2920, 3869, 4364, 6096, 6911, 8189, 825, 1930, 2151, 3999, 4364, 5863, 6347, 7826, 825, 2067, 3033, 3936, 4923, 6147, 6671, 8055, 317, 1560, 2554, 3398, 4364, 5458, 6443, 7705, 256, 1139, 2593, 3749, 4512, 5276, 6272, 7477, 776, 1547, 2614, 3603, 4920, 6010, 6683, 8102, 818, 1945, 3006, 4108, 4890, 6149, 7207, 7570, 779, 1467, 2598, 4068, 5159, 6149, 6776, 7677, 512, 2005, 3022, 4174, 4822, 5832, 6752, 7421, 1079, 1963, 3008, 3866, 4366, 6063, 7090, 8260, 293, 2125, 2818, 3582, 5145, 5876, 6982, 7279, 1033, 2001, 2742, 3582, 4717, 5516, 6431, 7319, 386, 1563, 3017, 3901, 4179, 5425, 6409, 7442, 862, 1682, 2667, 4082, 4702, 5930, 7228, 8143, 1009, 1490, 2505, 3259, 4255, 5298, 6611, 7898, 862, 2059, 3088, 4078, 4943, 6135, 7101, 7889, 1080, 1758, 2633, 3941, 4832, 5328, 6386, 7789, 405, 1758, 2836, 3391, 5044, 6110, 6602, 7843, 987, 1388, 2792, 3407, 4611, 6062, 7095, 8252, 1088, 1886, 2494, 3929, 4989, 5455, 7242, 7689, 938, 2021, 2151, 3981, 4743, 5322, 6752, 7303, 948, 2091, 2918, 3812, 4743, 5631, 7048, 8079, 1088, 1323, 2872, 4010, 4606, 6085, 6512, 8151, 613, 1886, 2621, 3470, 5012, 6163, 7010, 7442, 757, 1982, 3064, 3532, 4983, 5695, 6991, 7429, 684, 1400, 2826, 3374, 4825, 6063, 6991, 7303, 1099, 1869, 2925, 4114, 4387, 5767, 7095, 8107, 356, 1320, 2924, 3848, 5088, 5963, 7132, 7732, 183, 1623, 2865, 3550, 4912, 5325, 6296, 8066, 334, 1264, 2152, 4132, 4687, 5981, 7163, 8164, 118, 1269, 3068, 3352, 4867, 6070, 6740, 7920, 334, 1865, 2664, 4145, 4881, 5580, 7043, 7339, 568, 1623, 2454, 3994, 4983, 5438, 7095, 8262, 833, 1561, 2340, 4149, 5124, 5609, 7069, 7816, 685, 2051, 2792, 3945, 4669, 6039, 6818, 8132, 781, 1164, 2309, 3754, 5091, 6187, 6550, 7693, 640, 1268, 2380, 3354, 4742, 5499, 6811, 7516, 774, 1385, 2646, 3596, 4224, 5834, 7184, 7592, 668, 1526, 2453, 3651, 4865, 5487, 7149, 7512, 868, 1446, 2189, 4041, 4222, 6145, 6905, 7878, 511, 1104, 2604, 3586, 5031, 5572, 7061, 8109, 480, 1332, 2194, 3227, 4238, 5659, 7126, 7358, 480, 1997, 2824, 3651, 4712, 5315, 6879, 7535, 1070, 1331, 2578, 3331, 4248, 6097, 6892, 7532, 192, 1190, 2878, 4095, 4716, 5790, 6396, 7518, 1065, 1222, 2759, 4037, 4660, 5410, 6491, 7583, 391, 1326, 2297, 3399, 4708, 6006, 7066, 7500, 767, 1463, 3020, 4074, 4450, 6141, 6579, 7386, 731, 1548, 2581, 3375, 4859, 5835, 7165, 7715, 304, 1915, 2866, 3509, 5085, 5439, 6579, 7887, 654, 1330, 3000, 3639, 4214, 5223, 6560, 7721, 518, 1423, 2683, 4092, 4195, 6180, 7198, 8164, 518, 1623, 2461, 3623, 5137, 5983, 7162, 8080, 518, 1233, 2725, 3917, 4716, 5723, 6840, 7329, 518, 1218, 2683, 4103, 5095, 5863, 6708, 8030, 513, 1388, 3128, 3394, 5040, 5221, 7173, 8193, 1033, 1945, 2946, 3254, 4870, 6203, 6377, 7842, 465, 1306, 2944, 3484, 4236, 5366, 6799, 7667, 535, 1140, 2495, 3900, 4288, 5415, 6532, 7542, 993, 1252, 2355, 3497, 4238, 6002, 6281, 7833, 993, 1116, 3091, 3245, 4574, 5408, 6267, 8028, 1052, 1516, 2751, 3251, 4813, 6180, 6903, 7930, 569, 1570, 2129, 3245, 4716, 6002, 6354, 7480, 115, 1453, 2282, 3642, 4350, 5715, 6612, 8065, 901, 1809, 2156, 3418, 4792, 5368, 6740, 7631, 576, 1660, 2708, 4015, 4598, 5810, 6354, 8099, 518, 1139, 2137, 3917, 4949, 5578, 7207, 7291, 448, 1649, 3007, 3928, 4555, 6105, 6919, 7367, 569, 1570, 2721, 3900, 5110, 6116, 6328, 7881, 319, 1541, 3033, 4074, 4709, 5474, 7232, 7948, 893, 1636, 2464, 3802, 4235, 5664, 6779, 7248, 896, 1606, 2890, 3599, 4421, 5396, 7001, 8039, 781, 1488, 2731, 3764, 5187, 5819, 6797, 7659, 1006, 1309, 2882, 3464, 4707, 5384, 6797, 7442, 511, 1104, 2461, 3673, 4575, 5733, 6242, 8106, 987, 1488, 2338, 3434, 4642, 5254, 6520, 8128, 831, 1761, 2728, 3276, 4513, 5913, 7048, 8083, 831, 1871, 2221, 3917, 4622, 5981, 6630, 7658, 831, 1450, 2980, 3350, 4985, 5687, 6485, 7941, 480, 1871, 2585, 4124, 4780, 5719, 6670, 8117, 421, 1277, 2316, 4015, 4808, 5448, 6387, 7913, 545, 1585, 2658, 3268, 4878, 5588, 6702, 7559, 545, 1858, 2556, 3256, 5138, 5792, 6566, 7813, 1024, 1287, 2491, 3543, 5051, 5929, 6762, 7383, 692, 1411, 2829, 3259, 4790, 6086, 7182, 7559, 504, 1545, 2817, 3756, 5051, 6015, 6676, 8097, 632, 1831, 2752, 3570, 4665, 5776, 6596, 8180, 884, 1294, 2817, 3570, 4539, 6034, 6929, 7311, 458, 1777, 2593, 4072, 5040, 6125, 7198, 7649, 974, 1507, 3091, 3621, 5094, 5538, 7067, 7930, 655, 2059, 2316, 3458, 4217, 6017, 6740, 7724, 803, 1972, 2309, 3246, 4274, 5350, 6362, 8240, 1056, 1939, 3129, 3929, 5040, 5616, 6780, 7872, 1056, 1796, 2895, 4113, 4551, 5219, 6672, 7458, 308, 1791, 2801, 3361, 5020, 5212, 6589, 7481, 410, 1280, 2720, 4005, 5038, 5305, 6393, 8132, 440, 1944, 2473, 3259, 5061, 5937, 6980, 7462, 1035, 2073, 2491, 3602, 4782, 5276, 6900, 8021, 814, 2079, 2369, 3366, 4883, 5644, 6856, 7527, 665, 1655, 2807, 3398, 4931, 5934, 6692, 7453, 994, 1682, 2346, 3421, 4835, 5983, 6276, 7800, 781, 1140, 2346, 3419, 4350, 5618, 7185, 8270, 540, 1140, 2152, 3422, 4419, 6010, 6601, 7685, 643, 1563, 2805, 3410, 4890, 5802, 6884, 7597, 223, 1637, 2794, 3968, 4276, 5565, 7162, 7664, 731, 2047, 2207, 3822, 5092, 5677, 7110, 7918, 948, 1503, 3080, 3304, 4280, 6179, 6944, 7386, 335, 2073, 2309, 3952, 5079, 5437, 6301, 8144, 767, 1509, 2794, 3183, 4546, 5907, 7230, 7664, 216, 2073, 2481, 3290, 5135, 5419, 7120, 8260, 401, 1664, 3007, 3932, 5079, 5981, 6526, 7887, 684, 1705, 2960, 3390, 4592, 5534, 6515, 7865, 914, 1869, 3043, 3866, 5159, 6205, 7168, 8195, 818, 1992, 2989, 3990, 4276, 6129, 7084, 7720, 510, 1705, 2924, 3516, 4589, 6025, 6979, 8237, 914, 1750, 2960, 3825, 4624, 5635, 7077, 7766, 818, 1869, 3128, 3893, 4888, 6081, 7201, 8147, 142, 1528, 2914, 3825, 4704, 6139, 6794, 8147, 818, 2017, 2991, 3886, 4624, 5241, 6972, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7239, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 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, 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, 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, 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, 53, 39, 30, 5, 31, 16, 5, 66, 33, 52, 16, 41, 58, 54, 5, 51, 20, 52, 5, 14, 66, 5, 76, 17, 54, 64, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 5635, 6752, 8196, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 3065, 3893, 4583, 6139, 7077, 8196, 419, 1490, 2473, 3803, 4681, 5413, 6589, 7563, 756, 1865, 2317, 4113, 5128, 5294, 7149, 8101, 640, 2101, 2409, 3623, 4804, 5302, 6240, 7438, 660, 1828, 2689, 3742, 4723, 5706, 6929, 7344, 1077, 1206, 2653, 3483, 4468, 5460, 6683, 8149, 683, 1349, 2751, 3239, 5154, 5984, 6960, 7751, 868, 2099, 2895, 4074, 4241, 5831, 6866, 7930, 1062, 1486, 3120, 3789, 4674, 5839, 6736, 7655, 1025, 1399, 2436, 3885, 4241, 5221, 6849, 7816, 610, 1238, 2440, 3307, 4925, 5704, 7058, 8016, 887, 1978, 2440, 3605, 4981, 5621, 7160, 7887, 271, 1141, 2463, 3918, 4308, 6123, 7181, 8076, 1025, 1797, 2440, 3430, 5151, 5616, 6626, 8090, 535, 1363, 2564, 3628, 4644, 5352, 6911, 7528, 491, 1881, 2705, 3967, 4995, 6044, 6280, 8249, 807, 1918, 2232, 3239, 4804, 5204, 6856, 8197, 487, 2079, 3066, 3396, 5151, 5925, 6977, 8092, 610, 2008, 2440, 3515, 5005, 5332, 7078, 7261, 424, 1978, 2601, 3792, 4470, 5764, 6870, 8079, 1090, 1116, 2817, 3472, 4539, 5899, 6649, 8118, 663, 1561, 2688, 3960, 4646, 5585, 6528, 8227, 390, 1881, 2801, 3681, 4978, 6007, 7129, 7677, 1097, 1467, 2989, 3914, 4681, 6123, 6786, 8066, 684, 1620, 3021, 3961, 4980, 5210, 6540, 7876, 804, 1945, 3007, 3982, 4822, 5883, 6996, 7876, 308, 1869, 3008, 4108, 4912, 5241, 6972, 7720, 952, 2060, 2151, 4068, 4846, 6194, 6852, 7437, 650, 1557, 2847, 3922, 5130, 5719, 6725, 7968, 803, 2118, 2258, 3635, 4335, 6193, 6818, 7823, 1057, 2048, 2953, 3372, 4364, 6007, 6702, 7996, 403, 1623, 2154, 3983, 4259, 6007, 6426, 7421, 915, 1508, 2925, 3671, 4859, 5563, 7232, 8076, 818, 1992, 3008, 3866, 4870, 5840, 7120, 7949, 935, 1791, 2991, 4145, 5007, 5210, 6830, 8080, 935, 1620, 3006, 4011, 5106, 5678, 6996, 8083, 276, 1652, 2606, 3793, 4411, 6194, 6449, 7363, 195, 1503, 2621, 3320, 4918, 5350, 6706, 7838, 617, 1623, 2970, 3348, 4862, 5223, 6376, 7838, 403, 2098, 3003, 3826, 4673, 5346, 6710, 7297, 650, 1349, 2936, 3551, 4328, 5514, 7017, 7816, 113, 1704, 2327, 3280, 4226, 5411, 7099, 7586, 113, 1704, 2361, 3306, 4462, 5443, 6906, 7797, 113, 1490, 2486, 3493, 4604, 6080, 6814, 7895, 803, 1717, 2491, 3478, 5010, 5421, 6983, 7759, 508, 1893, 3103, 3924, 4399, 5632, 6437, 7358, 895, 1871, 2173, 3454, 4805, 5810, 7098, 7807, 913, 1350, 2748, 3540, 4852, 5325, 7183, 8112, 938, 1906, 2896, 3418, 4678, 5463, 7245, 7962, 1062, 1743, 2455, 4004, 4700, 5454, 7096, 7563, 776, 1248, 2642, 4117, 4426, 5469, 6698, 7702, 776, 1974, 2716, 3743, 4364, 6222, 6974, 7286, 405, 1660, 2293, 3201, 5183, 6077, 6677, 7537, 256, 1750, 2957, 4039, 5106, 5493, 6613, 8195, 256, 1796, 3141, 4018, 4387, 5276, 7024, 7537, 878, 2073, 2809, 4135, 5192, 5824, 6607, 7735, 256, 1998, 2970, 3364, 5106, 5436, 6566, 7716, 1102, 1508, 2970, 3951, 5098, 6137, 6771, 7919, 304, 1897, 2975, 4078, 4585, 5811, 6612, 7421, 271, 2050, 2728, 4081, 4415, 5911, 6969, 8211, 160, 1728, 2460, 4090, 4570, 6222, 6574, 7502, 1071, 1867, 2679, 4152, 4601, 6002, 6648, 8239, 1033, 1874, 2814, 3322, 4665, 5650, 6581, 7369, 113, 2079, 2482, 3839, 4634, 5979, 6244, 7948, 826, 1727, 2732, 3448, 4970, 5314, 7217, 7658, 826, 1540, 2320, 3292, 4315, 5893, 7241, 7881, 610, 1782, 2754, 4078, 4971, 5245, 6903, 7887, 610, 1948, 3003, 4074, 5169, 6007, 6888, 8066, 610, 1915, 2389, 4096, 5104, 5543, 6646, 7764, 1099, 1175, 2943, 3909, 5038, 6203, 7098, 7766, 337, 1791, 3006, 3990, 5061, 5612, 7006, 8185, 337, 1963, 3043, 3188, 4980, 5630, 6809, 8179, 914, 2000, 3006, 3990, 5058, 6051, 6996, 8195, 293, 1774, 2599, 3159, 5175, 5211, 7091, 7487, 617, 1131, 2288, 3879, 4501, 5539, 6719, 7567, 891, 1898, 2573, 4135, 4376, 5443, 6465, 7500, 1071, 2056, 2873, 3479, 4691, 5815, 6244, 8132, 1008, 2053, 2175, 3981, 5139, 5819, 6595, 8091, 83, 1674, 2831, 3450, 4946, 5745, 7047, 8099, 344, 1674, 2727, 3184, 4395, 6176, 7066, 7910, 113, 1469, 2796, 3446, 4550, 6090, 6901, 7702, 1008, 1938, 2294, 4130, 4994, 5477, 6866, 7869, 864, 1938, 2396, 3699, 5084, 5606, 6557, 7938, 1024, 1938, 2149, 3284, 4729, 5606, 6565, 8011, 970, 2036, 2493, 3295, 5152, 5482, 6944, 7462, 1011, 1369, 2970, 3743, 4387, 5759, 6540, 7496, 913, 1238, 2712, 3894, 4379, 5752, 6663, 7452, 1090, 1912, 2304, 3610, 5127, 5869, 6579, 8165, 610, 2024, 3112, 4078, 4713, 5991, 6859, 7807, 424, 1490, 2587, 3352, 4454, 5869, 7114, 7563, 272, 1620, 2868, 3424, 4734, 5589, 6761, 8241, 645, 1299, 2232, 3430, 4179, 5413, 6480, 7582, 887, 1435, 2503, 3771, 4467, 5844, 7129, 7962, 887, 1299, 2750, 4096, 5139, 5276, 6390, 8193, 959, 1758, 3046, 3231, 4334, 6182, 6790, 7889, 1099, 1147, 3006, 4114, 4912, 6146, 7111, 7948, 488, 1620, 2991, 3886, 4888, 5883, 6794, 7949, 967, 1874, 2833, 3922, 4533, 5705, 7168, 7723, 859, 1752, 2970, 3710, 4583, 5219, 7152, 7720, 915, 1467, 3008, 3932, 5106, 5963, 7069, 8076, 818, 1467, 2806, 3909, 4980, 6211, 6786, 7806, 684, 1467, 3064, 4018, 4583, 5883, 7006, 7949, 211, 1591, 2598, 3664, 4925, 6123, 6515, 7454, 1029, 1773, 2984, 3707, 4966, 6007, 6884, 7764, 104, 1674, 2956, 3766, 4379, 5806, 6955, 7336, 113, 1674, 2882, 3693, 5027, 5684, 7224, 8188, 1041, 1582, 2374, 3517, 4448, 5909, 6611, 7975, 296, 1706, 2515, 3958, 5177, 5947, 6731, 7536, 763, 1178, 2390, 3751, 4910, 5636, 6860, 7881, 482, 1178, 3003, 3654, 4499, 5508, 6883, 7341, 620, 1603, 2194, 3913, 4855, 6095, 7155, 7648, 1011, 2101, 3094, 4096, 4459, 5749, 6778, 7256, 951, 1665, 2498, 4006, 4214, 5899, 6472, 7947, 288, 1809, 2661, 3188, 5058, 6137, 6891, 7602, 1056, 1978, 2944, 3430, 4622, 5901, 6891, 8099, 779, 2063, 2924, 3848, 5129, 5678, 6630, 7664, 288, 1581, 2902, 4096, 4925, 5210, 6988, 8179, 779, 2079, 2936, 4011, 4912, 5216, 7207, 8185, 256, 2091, 2895, 3993, 4228, 5515, 6604, 7776, 228, 2127, 2287, 3394, 4681, 5981, 6338, 8061, 228, 2108, 2316, 4103, 4700, 5296, 6728, 8130, 518, 1550, 2880, 3564, 5160, 5811, 7239, 7677, 228, 1345, 2669, 4047, 4700, 5865, 6889, 7677, 228, 2127, 2473, 3376, 5135, 6057, 6740, 7717, 228, 2108, 2340, 3376, 4549, 5385, 6671, 8076, 228, 1345, 2669, 3891, 4504, 5624, 6752, 7715, 228, 1648, 2880, 3227, 4329, 5689, 6988, 7715, 256, 2002, 2725, 4025, 4549, 5892, 6889, 7732, 256, 2118, 3133, 3374, 4852, 5624, 7098, 7723, 543, 1490, 2775, 4125, 5079, 5981, 6889, 7716, 859, 1826, 3133, 3827, 4775, 5241, 6724, 8223, 818, 2111, 2554, 3838, 4387, 5493, 6996, 7303, 860, 1528, 2806, 3803, 4704, 6081, 6612, 7766, 488, 2017, 3117, 3367, 5138, 6186, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 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, 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, 4, 2 ]

[ 1, 76, 45, 31, 5, 76, 45, 29, 5, 65, 48, 5, 52, 69, 51, 66, 5, 75, 33, 63, 47, 5, 51, 26, 54, 30, 52, 47, 5, 14, 66, 5, 62, 36, 64, 47, 16, 64, 5, 5, 3, 142, 2017, 2914, 4174, 4704, 6139, 6709, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3367, 4798, 6081, 6794, 8196, 818, 1218, 2991, 4011, 5080, 5705, 6988, 8260, 831, 1995, 3064, 4097, 5080, 6051, 6709, 8267, 335, 1686, 3108, 3975, 4856, 5840, 7230, 8135, 716, 1356, 2137, 3263, 5040, 5485, 6985, 8241, 1004, 1770, 2429, 3770, 4688, 6096, 7024, 7821, 761, 1971, 2422, 3900, 5011, 6155, 6684, 7475, 752, 1252, 2271, 3770, 4671, 6199, 6414, 7367, 684, 1280, 2293, 4033, 4737, 5777, 6832, 8178, 419, 1406, 2144, 4150, 4762, 5580, 6612, 7574, 256, 1857, 2389, 3364, 4737, 6128, 6786, 8126, 579, 1847, 2454, 4113, 4536, 5340, 6613, 7631, 206, 1280, 3095, 3680, 4366, 5612, 6671, 8179, 914, 1847, 2340, 3982, 4681, 5978, 6515, 7865, 617, 1280, 2783, 4171, 5104, 5883, 6604, 8179, 153, 1804, 2163, 4006, 5060, 5767, 6688, 7290, 223, 1331, 2957, 3710, 5060, 5678, 7120, 8252, 752, 1643, 2567, 3729, 4215, 5254, 6702, 7900, 1029, 1318, 2133, 3420, 4859, 5717, 7061, 8085, 150, 1768, 2599, 3356, 4896, 5902, 7109, 8204, 725, 1531, 2708, 3398, 4727, 5797, 6888, 7899, 487, 1421, 2646, 4035, 4952, 5514, 6510, 7429, 893, 1286, 2610, 4106, 5192, 5765, 7197, 7598, 356, 1850, 2874, 3410, 4229, 5641, 7127, 8118, 105, 1918, 2519, 3300, 4993, 5953, 7047, 7948, 183, 1782, 2345, 3795, 4521, 5413, 7143, 7920, 183, 1707, 2432, 3777, 4205, 5957, 7222, 7313, 183, 1742, 2970, 3555, 4939, 6107, 6871, 7420, 183, 2034, 3028, 4078, 4912, 5767, 7103, 7563, 183, 1623, 2718, 3822, 4863, 5436, 7146, 8179, 757, 2127, 2761, 4145, 4877, 5767, 6607, 7878, 757, 1286, 2905, 4015, 5083, 6147, 6430, 7753, 859, 1876, 3026, 3681, 5120, 5892, 7103, 7732, 859, 1750, 2803, 4145, 4704, 5438, 7111, 8132, 555, 1147, 2991, 4145, 4630, 6175, 6677, 7887, 818, 1147, 2970, 4071, 4888, 5981, 6996, 7876, 818, 1648, 3021, 3825, 4387, 6139, 7239, 7766, 818, 1648, 2970, 3886, 4681, 5844, 6677, 8237, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7226, 7766, 915, 2017, 3021, 3825, 4624, 5635, 6794, 7766, 859, 2127, 3021, 4026, 4512, 5677, 6752, 8083, 757, 1133, 2833, 4006, 4914, 5678, 6671, 7888, 118, 1286, 2971, 3771, 4878, 5219, 7090, 8030, 568, 1958, 3133, 3555, 4859, 5844, 7001, 8214, 568, 1286, 2970, 3555, 4622, 5550, 6486, 8164, 617, 2034, 3021, 3407, 5197, 5901, 7024, 7749, 105, 1876, 3059, 3723, 4622, 6149, 7100, 7831, 859, 1508, 3144, 4018, 4681, 6063, 7239, 7664, 779, 1265, 2771, 4092, 4588, 5901, 7120, 8185, 1033, 1782, 2837, 3498, 4966, 5944, 6242, 7664, 893, 1550, 2401, 3472, 4604, 5591, 6267, 8227, 807, 1860, 2661, 3601, 5124, 5865, 6760, 7724, 998, 1550, 2401, 4073, 4604, 5658, 6813, 7997, 104, 1550, 2248, 3601, 4604, 5697, 6752, 7811, 613, 2084, 2359, 3746, 4848, 5637, 6627, 7442, 610, 1773, 2359, 3547, 4364, 6120, 7038, 7660, 986, 1826, 2495, 3904, 4623, 6076, 6302, 7878, 887, 1716, 2346, 3511, 4302, 5632, 7205, 7540, 802, 1974, 2214, 3356, 4651, 5360, 6772, 8209, 802, 1129, 2214, 3356, 4796, 6124, 6830, 7666, 117, 1440, 2573, 3526, 4298, 5325, 7117, 7491, 1019, 1682, 2516, 3356, 4321, 5843, 7126, 8070, 344, 1682, 2881, 3394, 4946, 6002, 6908, 7301, 390, 1770, 2163, 3706, 4225, 5297, 6612, 7547, 1097, 1770, 2957, 4065, 4583, 5678, 6254, 7732, 804, 2079, 2598, 3795, 4691, 5911, 6967, 7791, 935, 1856, 3130, 3990, 4918, 6146, 7098, 7386, 956, 2064, 2730, 3710, 4849, 5705, 6589, 8260, 956, 1998, 2803, 3188, 4980, 6051, 7226, 7766, 956, 1856, 3110, 3710, 5159, 5210, 6786, 8147, 935, 2064, 3135, 4068, 4215, 5883, 6786, 8267, 617, 1570, 2163, 4092, 4681, 5436, 7132, 8261, 475, 1304, 2340, 3391, 4536, 5584, 6717, 7473, 405, 1797, 2838, 3761, 5083, 5548, 6776, 8267, 304, 1116, 3141, 3602, 4364, 5716, 6349, 7538, 715, 1370, 3116, 3671, 4782, 5296, 6694, 8132, 750, 1821, 2480, 4006, 4762, 6058, 6648, 8085, 752, 1930, 2927, 3669, 4814, 5827, 7126, 8040, 814, 1510, 2542, 3536, 4490, 5734, 6397, 8000, 665, 1510, 2506, 3949, 4814, 5268, 6780, 8028, 569, 1510, 2506, 3649, 4435, 5633, 7096, 7989, 569, 1422, 2564, 3991, 5128, 6016, 6669, 7904, 806, 1586, 2439, 3234, 4763, 5589, 7003, 7761, 536, 1586, 2400, 4073, 4641, 6221, 7229, 7889, 299, 1785, 2530, 3687, 4941, 5433, 6552, 7419, 443, 1373, 2881, 3550, 4542, 5283, 6932, 7752, 1029, 1111, 2874, 3369, 4868, 5466, 6728, 7785, 761, 1280, 2874, 4159, 4533, 5352, 6632, 7807, 725, 1164, 2424, 4153, 4588, 5304, 7062, 8069, 692, 1905, 3001, 3476, 4755, 5894, 7076, 7393, 234, 1633, 2865, 3615, 4755, 5825, 6244, 7873, 234, 1126, 2300, 3796, 4176, 5321, 6526, 7574, 862, 1550, 2339, 3243, 4848, 6089, 6687, 8046, 986, 2024, 2595, 3356, 4510, 6188, 6790, 7299, 103, 1331, 2163, 3929, 5193, 6132, 6625, 7574, 512, 1782, 3062, 3928, 5020, 5573, 7010, 7303, 512, 1363, 2792, 4085, 4622, 5590, 6589, 7557, 935, 1847, 2989, 4145, 5058, 6211, 7218, 8236, 105, 1705, 3021, 3904, 5061, 6175, 6443, 8132, 956, 2000, 2989, 4011, 4681, 5340, 6850, 8076, 473, 1684, 2709, 3732, 5143, 5678, 7090, 7743, 165, 1396, 2468, 3904, 4549, 5544, 6436, 7750, 568, 2052, 2746, 3795, 4494, 5514, 6909, 8187, 1015, 1773, 3144, 3276, 4648, 5808, 6870, 7697, 955, 1523, 3020, 3777, 4529, 6001, 6444, 8227, 803, 1271, 2816, 3777, 4647, 5866, 6347, 8168, 363, 1841, 2930, 3600, 5036, 5710, 7195, 8127, 515, 1562, 2869, 3286, 4542, 5234, 6800, 7973, 314, 1997, 2307, 3431, 4233, 6180, 6509, 7423, 1023, 1424, 2628, 3181, 4364, 5886, 6814, 7844, 363, 1179, 2565, 4054, 4236, 5615, 6919, 7604, 920, 1286, 2819, 3417, 4222, 5875, 7133, 8099, 465, 1287, 2476, 4007, 4924, 5496, 6733, 7953, 778, 1905, 2885, 4095, 5019, 5321, 6651, 8160, 887, 1388, 2464, 3192, 4604, 5902, 6528, 7908, 614, 1118, 2309, 4072, 4853, 6122, 7217, 7916, 1035, 1671, 2563, 4114, 4912, 5869, 6397, 7842, 887, 1275, 2357, 4096, 5061, 5684, 6871, 8107, 850, 1637, 2265, 3962, 4993, 5942, 6404, 7641, 610, 1577, 2582, 3361, 5166, 5730, 6899, 8093, 887, 1932, 2440, 3982, 5080, 5871, 7207, 8096, 663, 1809, 2996, 3932, 4586, 5705, 7120, 8260, 211, 1992, 2980, 4096, 4589, 5968, 6615, 7631, 1056, 1992, 2895, 3671, 4429, 5981, 6612, 8076, 678, 1238, 2610, 4124, 5115, 6056, 6430, 7881, 1037, 1933, 2710, 3726, 5187, 6077, 7100, 8058, 663, 1919, 2515, 3826, 4583, 5824, 6599, 8146, 970, 1889, 2924, 4168, 5150, 5514, 6706, 7524, 391, 1770, 2534, 4078, 4215, 6154, 6314, 8236, 1090, 1275, 2163, 4151, 5080, 5678, 7133, 7476, 1011, 1400, 2389, 3254, 5088, 6113, 6456, 7479, 639, 1415, 2775, 3493, 4376, 6142, 6774, 8226, 620, 1510, 2720, 3892, 4678, 6142, 6821, 7822, 702, 1510, 2692, 3613, 4981, 5745, 6536, 7913, 407, 1561, 2751, 3225, 5090, 5745, 6783, 7714, 397, 1743, 2327, 3399, 5040, 6024, 7137, 7535, 995, 1561, 2692, 3418, 4578, 5734, 6244, 7557, 995, 1882, 2692, 4095, 5031, 5613, 6856, 8040, 572, 1118, 2692, 3655, 4806, 5837, 7002, 8132, 620, 1112, 3029, 3555, 5135, 5552, 6910, 7551, 668, 1112, 3116, 3785, 4371, 5827, 6335, 7369, 995, 1831, 2791, 3555, 4367, 5800, 7033, 7438, 620, 1112, 2346, 3421, 4767, 5538, 7182, 7797, 981, 2034, 2945, 3723, 4881, 5298, 7102, 8108, 487, 2034, 3116, 3656, 5197, 5773, 7041, 7578, 891, 1905, 2346, 3208, 4606, 5756, 6539, 7429, 804, 1186, 3098, 3417, 4763, 5788, 6566, 8076, 859, 1961, 3021, 3885, 5138, 5974, 6443, 7773, 859, 1175, 2729, 4115, 4782, 5612, 7120, 8185, 935, 1147, 2746, 4145, 4912, 6129, 6996, 8260, 555, 2017, 3021, 3886, 5129, 6205, 7084, 7948, 818, 1528, 3021, 4018, 4980, 5968, 6972, 7717, 555, 2017, 3021, 4145, 4782, 6137, 7077, 7806, 555, 1992, 3021, 3866, 5061, 5635, 6810, 7485, 555, 1684, 2970, 3352, 4877, 5219, 6604, 7876, 859, 1468, 3021, 3374, 4701, 6085, 7207, 8266, 859, 1695, 2971, 3595, 5166, 5219, 6996, 7303, 555, 1750, 2858, 3827, 4877, 6139, 6612, 7715, 337, 1564, 3065, 3391, 4583, 5305, 7160, 7303, 488, 2032, 3117, 3827, 4583, 5678, 7077, 8237, 488, 2032, 2806, 3893, 5060, 5635, 7226, 7290, 488, 1528, 2806, 4174, 4624, 5635, 7124, 7723, 419, 1705, 3144, 3914, 5138, 6129, 7006, 8260, 639, 1791, 2669, 4098, 5138, 5737, 6302, 7920, 739, 1719, 2726, 3443, 4662, 5440, 7096, 7955, 616, 1349, 2476, 3770, 4539, 5698, 6364, 7502, 616, 1104, 2492, 3596, 4364, 6187, 6314, 8160, 487, 1140, 2553, 3566, 5197, 5687, 6917, 7743, 1099, 1540, 2754, 3870, 4387, 5241, 6671, 7631, 935, 1945, 3008, 3914, 4447, 5630, 6810, 7717, 935, 1791, 2947, 3827, 4551, 5231, 7023, 7290, 935, 1804, 3043, 3866, 5061, 6051, 6752, 7717, 1099, 2068, 2781, 4041, 5061, 6137, 7207, 7723, 1099, 2017, 3110, 3803, 5061, 5687, 6709, 7557, 488, 1528, 2914, 4018, 4888, 6139, 7077, 7949, 818, 1528, 2834, 4152, 4624, 5241, 7077, 8179, 186, 2017, 2164, 3893, 5080, 5901, 6794, 8195, 757, 2005, 2709, 3487, 4888, 6072, 7098, 7563, 541, 1802, 2868, 3936, 4710, 5929, 6306, 7728, 153, 1272, 3026, 3550, 4512, 5630, 7120, 7714, 1033, 1758, 2860, 3990, 4265, 5565, 6677, 8185, 601, 1239, 2768, 3669, 4683, 5589, 6740, 7607, 344, 1306, 2905, 4079, 4669, 5384, 6958, 7367, 974, 1522, 2455, 3375, 4996, 5579, 6856, 7599, 646, 2114, 3089, 4153, 4784, 5303, 6746, 7770, 803, 1758, 3019, 3517, 4669, 6179, 7063, 7745, 802, 1886, 3101, 3647, 4201, 5800, 6563, 7666, 160, 1268, 2315, 3687, 4534, 6002, 6267, 7610, 103, 1139, 2291, 3550, 4996, 5352, 6732, 7476, 756, 1832, 2160, 3826, 4670, 6050, 6625, 7926, 183, 2002, 2520, 4125, 4555, 5276, 7241, 8213, 225, 2059, 2992, 3277, 4877, 5433, 7239, 7973, 225, 1347, 2346, 3364, 5047, 5963, 6515, 7908, 225, 2111, 2669, 3394, 5040, 6065, 7091, 7538, 518, 1789, 2327, 3785, 4867, 5963, 7052, 8262, 654, 1345, 2654, 3394, 5106, 5957, 6671, 8164, 225, 1512, 2833, 3586, 4181, 5223, 6757, 7715, 256, 2111, 3065, 3595, 4555, 6081, 7132, 7476, 859, 1684, 3064, 3188, 4215, 5514, 6338, 7664, 304, 1570, 2941, 3226, 5138, 5873, 6235, 8118, 448, 1561, 3060, 4079, 4800, 5565, 6494, 8240, 448, 1550, 2615, 3421, 4218, 5773, 6910, 8268, 115, 1550, 2945, 3939, 4756, 5390, 6593, 7365, 103, 1621, 2346, 4135, 4604, 5648, 7163, 7966, 1059, 1550, 2346, 3565, 4705, 5719, 6905, 7349, 715, 1550, 2945, 3770, 4665, 6205, 6265, 8188, 487, 1763, 2346, 3687, 4495, 5863, 6439, 7304, 516, 2068, 2884, 3417, 5062, 5325, 6799, 8205, 708, 1282, 2492, 3764, 4903, 6037, 6431, 7678, 516, 1412, 2346, 3601, 5117, 6222, 7009, 7487, 1022, 1570, 2847, 3394, 5187, 5474, 6485, 8261, 891, 1570, 2951, 3360, 4964, 5561, 6592, 7547, 390, 1653, 2396, 3592, 5183, 5683, 7152, 7799, 308, 1992, 2542, 4037, 4673, 5485, 7069, 7586, 225, 1237, 3021, 3749, 5079, 6026, 6467, 7664, 225, 1719, 2230, 3394, 4996, 5523, 6478, 7732, 654, 1586, 2944, 4006, 5168, 5527, 7218, 7891, 654, 1345, 2654, 3550, 4764, 6175, 6291, 7706, 518, 1756, 2946, 4174, 5075, 5515, 6338, 7939, 518, 2034, 2424, 4026, 4326, 5981, 7132, 7260, 518, 1756, 2469, 3803, 4555, 6065, 7198, 7664, 228, 1719, 3147, 3651, 4902, 5981, 7152, 7318, 256, 1905, 2880, 4103, 4700, 6010, 7168, 7865, 256, 1756, 2565, 4153, 4859, 5892, 6688, 7563, 256, 2127, 3133, 3552, 4996, 5624, 6790, 7677, 475, 2111, 2554, 3595, 5159, 5767, 6338, 8080, 555, 2111, 3133, 3277, 4622, 5514, 6604, 7485, 488, 1528, 2806, 3825, 4704, 5241, 7077, 8147, 488, 1528, 3117, 3367, 4624, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7226, 8147, 488, 1528, 3065, 3825, 4624, 6139, 7226, 8223, 488, 1528, 3065, 3595, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 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, 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, 66, 36, 54, 30, 5, 66, 73, 5, 41, 39, 64, 5, 31, 16, 5, 45, 54, 64, 66, 63, 16, 53, 16, 54, 66, 5, 28, 20, 63, 30, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7124, 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, 555, 1851, 2833, 3893, 4798, 5493, 6604, 7477, 555, 1851, 2833, 4145, 4583, 5610, 6988, 7476, 153, 1827, 2582, 3945, 4790, 5892, 7232, 7957, 893, 1194, 3015, 3575, 4999, 5216, 6740, 7834, 620, 1146, 2151, 3690, 4705, 6002, 6835, 8137, 386, 2048, 2724, 3754, 5193, 5341, 6383, 8016, 678, 1577, 2895, 3692, 4478, 5378, 7021, 8047, 779, 1139, 2924, 3352, 5117, 6123, 7129, 7887, 424, 1238, 2980, 3521, 4335, 5378, 6507, 7965, 641, 1363, 2610, 3756, 4335, 5704, 6949, 7706, 806, 1918, 2644, 3678, 4529, 6068, 6740, 7677, 692, 1346, 2532, 4139, 4775, 5557, 6957, 7973, 983, 1534, 2260, 3394, 4338, 6088, 6227, 7618, 242, 1886, 2430, 3889, 4368, 5313, 6783, 8143, 827, 1438, 2374, 3340, 4637, 6041, 6632, 7632, 1041, 1732, 2725, 3152, 4565, 5270, 6959, 7616, 103, 1209, 2353, 3908, 4664, 6117, 6393, 7822, 1056, 1566, 2687, 3917, 4582, 5386, 7075, 7673, 914, 1998, 2293, 3277, 4181, 5204, 7162, 7591, 935, 2068, 2679, 3945, 4890, 6103, 7162, 8107, 935, 2032, 2925, 3982, 4551, 5702, 6774, 7720, 984, 1648, 3140, 4145, 4822, 5219, 7111, 7485, 629, 2127, 2772, 3746, 4913, 5858, 7149, 7936, 334, 1935, 2734, 3363, 5135, 5455, 6798, 7716, 757, 2106, 2833, 3803, 5167, 5971, 7091, 8260, 153, 1116, 2244, 3470, 4900, 5376, 6768, 8012, 1071, 1758, 2925, 3826, 4825, 5378, 7026, 8058, 319, 1158, 2378, 4027, 4793, 5208, 6952, 7759, 876, 2009, 2905, 3375, 4321, 5524, 6912, 7696, 404, 1989, 2905, 4007, 4789, 5601, 6226, 7628, 802, 1850, 2905, 3643, 4226, 5588, 7000, 7679, 993, 1504, 2564, 3478, 4621, 5557, 6593, 8078, 862, 1758, 2797, 3486, 4791, 5810, 6603, 8164, 1038, 1494, 2440, 3374, 4321, 6040, 6610, 8122, 569, 1459, 2564, 3217, 5110, 5776, 7086, 8129, 1062, 1944, 3026, 3530, 4784, 6177, 6973, 7926, 113, 1758, 2642, 3455, 4609, 5474, 6865, 7811, 826, 1794, 3019, 3687, 4604, 6146, 6878, 7816, 887, 1717, 2724, 3866, 4834, 5216, 7017, 7367, 1090, 1335, 3098, 4078, 4849, 5749, 6393, 7367, 663, 1350, 2688, 3233, 5163, 5752, 7095, 8164, 1056, 1992, 3098, 4108, 5169, 5536, 6677, 8179, 684, 1992, 2957, 3886, 4822, 5883, 6752, 7421, 757, 1564, 2139, 3538, 4334, 6172, 6346, 8017, 356, 1403, 2959, 3951, 4834, 5775, 7230, 7629, 970, 1494, 2678, 3788, 4729, 5960, 6443, 8073, 970, 1489, 2378, 4007, 4691, 5216, 6430, 8253, 970, 2059, 2583, 3478, 4529, 6061, 6692, 7869, 804, 1477, 2900, 3430, 4681, 6131, 6509, 7865, 256, 1794, 2352, 3359, 4916, 5778, 7160, 7557, 256, 1597, 3133, 3857, 4923, 5514, 7132, 7508, 256, 1545, 2925, 3374, 4496, 5963, 6949, 7664, 878, 2032, 2473, 3710, 4702, 5436, 6979, 7985, 256, 1600, 2473, 3391, 5053, 5514, 7127, 8025, 617, 1525, 2754, 3761, 4267, 5216, 6717, 7664, 757, 1452, 3109, 3413, 4267, 5276, 6724, 7707, 405, 2065, 2560, 3206, 4529, 5988, 6749, 7429, 223, 1557, 3064, 3316, 5010, 5308, 7198, 7997, 247, 1472, 2543, 3341, 5120, 5955, 6959, 7652, 884, 1842, 3005, 3167, 4205, 6198, 6517, 8211, 807, 1773, 2492, 3167, 4804, 6133, 6883, 7625, 986, 1644, 2661, 4007, 5042, 5952, 6426, 7821, 887, 1815, 2559, 3605, 4321, 5548, 6612, 8012, 401, 2013, 2843, 3352, 4321, 5904, 6830, 7972, 105, 1918, 3053, 4093, 4622, 5892, 6589, 7887, 568, 1995, 3021, 3904, 4784, 5830, 6899, 7770, 225, 1564, 3026, 4111, 4780, 5968, 6671, 7419, 225, 1147, 2729, 4166, 4630, 5218, 6677, 8126, 228, 1684, 3133, 3646, 4522, 5296, 6589, 7641, 228, 1652, 2971, 3831, 4411, 5333, 6566, 7349, 228, 1570, 2473, 4006, 5167, 6117, 6895, 7612, 240, 1756, 2469, 3798, 5159, 5745, 7079, 7838, 789, 1853, 3068, 3704, 5060, 5719, 7152, 8061, 488, 1851, 2904, 4071, 4555, 5767, 6996, 7303, 818, 1622, 2941, 3595, 4624, 5438, 6996, 8147, 419, 2017, 2914, 3825, 4798, 6186, 6794, 8223, 915, 1528, 2941, 3470, 4798, 5241, 7124, 7715, 789, 1705, 2718, 4078, 4780, 5580, 6938, 7563, 204, 1597, 2422, 3417, 4849, 5597, 6979, 8130, 737, 1948, 2128, 3172, 5188, 5440, 7219, 8061, 986, 1747, 3033, 3592, 4321, 6101, 6894, 7920, 1081, 1336, 2401, 3746, 4399, 5457, 6224, 8061, 288, 1692, 2492, 4092, 5088, 5706, 6674, 7732, 610, 1206, 2251, 3410, 4459, 6123, 6692, 7298, 610, 1623, 2610, 3811, 4594, 6015, 6224, 7693, 1025, 1692, 2349, 3765, 4402, 6033, 6313, 7716, 993, 1674, 2401, 3329, 4439, 5466, 6954, 7519, 936, 1164, 2659, 3205, 4429, 5810, 7000, 8035, 807, 1326, 2214, 3234, 4539, 5584, 6948, 8203, 465, 1721, 3097, 3792, 4859, 5331, 6470, 7365, 150, 1938, 2687, 3792, 4749, 5765, 6883, 8249, 1025, 1938, 3126, 4151, 4337, 5918, 6982, 7652, 955, 1777, 2754, 3537, 5107, 6181, 6639, 7528, 401, 1543, 2440, 3740, 4447, 6215, 7129, 7248, 610, 2107, 2534, 3361, 4368, 6175, 6579, 7687, 940, 1797, 3008, 3788, 4573, 5590, 6771, 7515, 390, 2024, 2144, 3206, 5104, 5493, 7230, 7723, 228, 1345, 2172, 3746, 4974, 5963, 7043, 7838, 225, 1935, 2469, 3171, 4681, 6046, 7152, 7839, 225, 1496, 2992, 3754, 5018, 6137, 6607, 7559, 183, 1426, 2542, 3470, 4918, 5840, 6701, 8076, 183, 1496, 2860, 3723, 4870, 6065, 7091, 7563, 789, 1623, 2992, 4138, 5166, 5677, 6584, 7732, 555, 1623, 3139, 3555, 4423, 5514, 6762, 7831, 186, 2017, 3139, 3827, 4549, 5635, 6677, 7723, 555, 1147, 3133, 4026, 4387, 6129, 7207, 7766, 859, 2034, 3062, 4026, 5159, 5385, 7103, 7677, 757, 1300, 3062, 3516, 5135, 5219, 6958, 8130, 171, 1147, 2775, 3776, 5183, 5689, 7120, 7985, 1033, 1736, 2661, 3857, 4441, 5442, 6786, 7498, 1033, 1943, 2695, 3457, 4912, 6146, 6254, 7831, 1033, 1428, 2697, 4035, 5085, 6181, 6830, 7908, 1090, 1146, 2801, 3233, 4966, 5684, 6876, 7664, 610, 1809, 2440, 3602, 4287, 5586, 6566, 7557, 424, 1878, 2440, 3530, 4470, 5442, 6512, 7673, 104, 1797, 3008, 3961, 4592, 6222, 6393, 8266, 91, 1577, 2248, 3185, 4536, 5980, 7041, 7259, 424, 1918, 2544, 3370, 4266, 6073, 6630, 7717, 211, 1821, 2940, 3956, 4896, 5678, 6540, 8066, 887, 1581, 2924, 3530, 5159, 5901, 6924, 7902, 1090, 2107, 2754, 3908, 4954, 5950, 7023, 7810, 610, 1676, 2989, 4152, 5145, 5219, 6734, 7421, 1056, 1747, 3098, 4115, 5165, 5294, 7017, 7421, 288, 2095, 2222, 3916, 5038, 6205, 7111, 8076, 804, 2068, 3064, 4115, 5104, 5761, 6996, 8185, 308, 1791, 3128, 4166, 4822, 5340, 7239, 7557, 804, 1705, 3043, 3188, 4551, 6211, 6786, 7631, 308, 1218, 2838, 3982, 4366, 5635, 6979, 8195, 779, 1330, 2947, 3916, 4366, 6085, 6589, 8076, 424, 1499, 2803, 3671, 4529, 5883, 7111, 7570, 536, 1681, 2920, 3994, 4423, 5935, 6850, 8017, 650, 1989, 2532, 3681, 4766, 5543, 6755, 7290, 150, 1991, 3010, 3847, 5084, 6063, 6272, 7753, 1008, 1897, 2516, 3432, 4857, 5640, 6603, 7827, 1024, 1873, 2183, 3561, 4729, 5325, 7010, 7926, 970, 2046, 2674, 3766, 4239, 5479, 6348, 8052, 1011, 1120, 2816, 3885, 4782, 5761, 6750, 8260, 678, 1152, 2943, 3511, 4359, 5590, 6465, 7676, 1024, 2079, 2570, 4016, 4379, 6051, 6467, 7863, 970, 2046, 3056, 3453, 5096, 5858, 6810, 7383, 970, 1641, 2771, 4093, 5079, 5761, 6770, 7702, 970, 1248, 3037, 3223, 5091, 5946, 6456, 8197, 235, 1919, 2541, 4145, 4229, 5469, 6780, 8054, 913, 1685, 2887, 3950, 5014, 6114, 6921, 7594, 913, 1858, 3001, 3710, 4348, 5869, 6235, 7735, 770, 1545, 2515, 3373, 4693, 5265, 6348, 7470, 1091, 1886, 2440, 3630, 4784, 5849, 7051, 7488, 620, 1758, 2272, 3655, 4607, 5810, 6505, 7742, 981, 1758, 2710, 3384, 5194, 6024, 6348, 7587, 1011, 1758, 2871, 3776, 4912, 5746, 6468, 7674, 678, 1566, 2775, 3909, 5088, 5918, 7129, 7856, 804, 1485, 2515, 3575, 4267, 6063, 7132, 7664, 288, 1992, 2924, 4166, 5088, 5901, 6979, 8267, 678, 2063, 2775, 4124, 4387, 5661, 6413, 7716, 678, 2118, 2912, 3771, 4875, 5953, 6723, 7773, 914, 1847, 2820, 4145, 5080, 5202, 7218, 7716, 1097, 2111, 2991, 4145, 4287, 5832, 6776, 8083, 860, 2017, 2949, 4170, 4704, 6211, 7124, 8147, 201, 2017, 2914, 3367, 4704, 6139, 7124, 8147, 488, 1622, 2164, 3893, 4624, 6139, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 31, 16, 5, 33, 52, 30, 16, 64, 66, 5, 64, 17, 54, 5, 17, 75, 5, 16, 5, 53, 33, 53, 28, 35, 5, 17, 75, 5, 31, 16, 5, 41, 36, 53, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8147, 488, 1622, 2914, 3893, 4624, 6129, 7124, 7949, 475, 1218, 2542, 3188, 5150, 5832, 7207, 7936, 756, 1519, 2669, 4068, 4800, 6198, 6256, 7962, 1033, 1164, 2940, 3366, 4433, 5911, 6816, 7716, 920, 1834, 3037, 3218, 5019, 5782, 6965, 7693, 443, 1692, 2601, 3366, 4595, 5603, 6965, 7530, 443, 1692, 2346, 3537, 4736, 5875, 6529, 7513, 881, 1692, 2601, 3476, 4346, 5220, 7136, 7505, 881, 1692, 2503, 3413, 4790, 5770, 6764, 7442, 806, 1706, 2994, 3219, 4346, 5748, 7119, 7973, 807, 1630, 2355, 3214, 5040, 5565, 7017, 7678, 137, 2069, 2309, 3936, 4734, 5532, 6523, 7823, 462, 1518, 2994, 4072, 4460, 5745, 6959, 7994, 896, 1389, 2830, 3480, 5081, 5867, 6442, 7817, 458, 2055, 2282, 3563, 5050, 5320, 6908, 7483, 1017, 2061, 2700, 3421, 5164, 5313, 6803, 8243, 761, 1183, 2765, 3329, 4758, 6135, 7174, 7574, 736, 1828, 2593, 4087, 4364, 6218, 6549, 7593, 900, 1830, 2140, 3601, 4639, 5321, 6401, 7973, 333, 1470, 2313, 3601, 4842, 5889, 6810, 8215, 339, 1779, 2173, 3601, 4499, 5774, 6869, 8263, 1080, 1757, 2951, 3727, 4905, 6021, 6535, 8140, 1080, 1589, 2890, 3748, 4678, 5454, 6493, 7597, 386, 2050, 2813, 3282, 4210, 6021, 6542, 7304, 643, 1740, 2832, 4122, 4248, 5621, 7046, 7684, 575, 1199, 3007, 4165, 4586, 5346, 6579, 7954, 571, 1407, 2234, 3776, 4622, 5616, 7084, 7769, 390, 1566, 2293, 3715, 4212, 5646, 6568, 8241, 756, 1982, 3026, 3424, 5183, 5493, 6947, 7919, 692, 1596, 2292, 3245, 4982, 6160, 6614, 7919, 234, 1326, 2481, 3245, 4611, 5704, 6334, 7365, 381, 1755, 2271, 3601, 4391, 6095, 6919, 7881, 1080, 1679, 2897, 3417, 5176, 6004, 6769, 7395, 1080, 1755, 2156, 3390, 4759, 6132, 6344, 8187, 981, 1421, 3020, 3284, 4901, 5652, 6259, 7848, 613, 1849, 2522, 3991, 4912, 6039, 6630, 7846, 317, 1206, 2167, 3723, 5096, 5360, 6224, 7881, 225, 2060, 2498, 3452, 4298, 6164, 6307, 7383, 225, 2060, 2654, 3316, 4459, 5723, 6859, 8261, 518, 1468, 2316, 3188, 4918, 5586, 6774, 7394, 228, 1623, 2316, 4113, 5106, 5413, 7232, 7616, 518, 2111, 2683, 3993, 4912, 5624, 7129, 7397, 240, 1488, 2959, 3440, 5159, 5963, 6917, 8080, 789, 1363, 2754, 4037, 4681, 5705, 6607, 8147, 818, 1847, 3065, 3886, 4555, 5677, 6752, 8147, 915, 1175, 3095, 4113, 4583, 5635, 7132, 8237, 789, 1750, 3007, 3407, 4798, 5892, 6604, 7949, 240, 2078, 3007, 4166, 4912, 6139, 7103, 8066, 518, 1756, 2860, 4113, 4536, 5767, 6734, 8061, 518, 1851, 3133, 4166, 4555, 5610, 7100, 8260, 195, 1750, 2683, 3838, 4423, 5296, 7100, 7664, 654, 2106, 2473, 3394, 4611, 6145, 6584, 8164, 654, 2106, 2473, 4145, 4870, 5586, 6251, 8061, 518, 2127, 2941, 3595, 5160, 6163, 6889, 8102, 654, 2060, 2729, 4145, 4512, 5514, 6889, 8076, 127, 2106, 3105, 3931, 5138, 5963, 6724, 7732, 518, 2127, 2316, 3586, 4985, 5892, 6579, 7948, 518, 1386, 2683, 3518, 5134, 6222, 7043, 8195, 1059, 1826, 3053, 3297, 4470, 5898, 6799, 7510, 392, 1424, 2925, 3380, 4611, 6114, 7013, 8006, 546, 1830, 2958, 3939, 4846, 6135, 6533, 7694, 781, 1490, 2460, 3558, 4338, 5440, 7055, 7574, 893, 1582, 2494, 4081, 4338, 5293, 6925, 7580, 581, 1337, 3037, 3752, 4338, 5804, 7228, 8265, 278, 1407, 2365, 3269, 4338, 6174, 7138, 7791, 893, 1157, 3085, 3894, 4605, 5495, 6835, 7496, 1101, 1303, 2256, 3486, 4520, 5804, 6788, 7938, 192, 1337, 2365, 3618, 4292, 5775, 6570, 8271, 1029, 1199, 2679, 3471, 4642, 5632, 7131, 8104, 508, 1783, 2159, 3178, 5198, 5237, 6541, 7835, 725, 1157, 2307, 3511, 4533, 6074, 7096, 7273, 504, 1490, 2540, 3449, 4636, 5787, 6476, 7255, 643, 1563, 2560, 3956, 4459, 5477, 6509, 7810, 1081, 1363, 2783, 3793, 4981, 5276, 6871, 7948, 678, 1831, 2629, 4115, 4533, 5980, 6677, 7996, 970, 1812, 2868, 3709, 4191, 5929, 6818, 7481, 951, 1302, 2440, 3496, 4825, 5613, 6413, 7743, 951, 1523, 3080, 3361, 4332, 5694, 6918, 7557, 913, 1463, 2638, 3649, 5036, 6080, 6668, 7677, 951, 2073, 2387, 3908, 4966, 5765, 6569, 7583, 951, 1830, 3020, 3932, 5138, 5410, 7019, 7791, 951, 2073, 2387, 3634, 4902, 5237, 7090, 7835, 951, 1770, 3054, 4145, 4966, 5424, 6612, 8063, 970, 1786, 3064, 3226, 4440, 5976, 7007, 8188, 1051, 1886, 2868, 3727, 4622, 5212, 7019, 7764, 1011, 1755, 2503, 3154, 5159, 5491, 7047, 7876, 571, 2068, 2391, 4162, 4536, 5550, 6972, 7677, 678, 1915, 2256, 4114, 4622, 5952, 6774, 7677, 951, 1705, 3053, 3932, 4966, 5899, 7023, 7917, 951, 1992, 2564, 3826, 5193, 6056, 7207, 7878, 951, 1234, 3053, 3233, 4622, 5687, 7207, 7778, 504, 1141, 2728, 3616, 4706, 5738, 6646, 7927, 951, 1778, 3092, 3956, 4609, 5350, 7149, 8237, 668, 1261, 2495, 3678, 4692, 5224, 6813, 8227, 668, 1183, 2888, 4112, 5125, 5608, 6461, 8133, 893, 1183, 2807, 3322, 4319, 5713, 6614, 7481, 665, 1293, 2495, 4101, 4591, 5538, 7000, 7809, 271, 1542, 2452, 3249, 4201, 6055, 6731, 7983, 1090, 1660, 2348, 4164, 4579, 5841, 7164, 7905, 390, 1581, 2730, 3990, 4470, 5767, 7217, 7783, 750, 1995, 3112, 4114, 4235, 5981, 6922, 7532, 1035, 1898, 2454, 4085, 5141, 6181, 7165, 7337, 802, 1700, 2373, 3713, 5106, 5716, 7037, 7420, 1028, 1199, 2495, 3442, 5148, 5395, 6545, 7762, 137, 2050, 2726, 3552, 5175, 5620, 6542, 7393, 277, 2050, 2222, 4110, 4760, 6180, 7123, 7602, 802, 1468, 3112, 3634, 4755, 6223, 6235, 8140, 335, 1350, 2241, 3358, 5156, 5684, 7069, 8152, 610, 1350, 2794, 3706, 5011, 5761, 6929, 8205, 610, 1350, 2794, 3438, 5092, 5233, 7002, 8034, 160, 1924, 3092, 3727, 4451, 6067, 6677, 8227, 160, 1924, 2207, 3430, 4846, 6083, 6319, 8016, 160, 2053, 2868, 3870, 5145, 6056, 6813, 7952, 160, 2053, 2868, 3932, 4882, 5500, 6267, 7865, 160, 2053, 2868, 3391, 5169, 5523, 6719, 8107, 1004, 1972, 2757, 3224, 4536, 5276, 6281, 8056, 1070, 1708, 2183, 3356, 4874, 6207, 6704, 7905, 781, 1179, 3040, 3775, 5121, 5722, 6680, 7900, 761, 2100, 3040, 3329, 5125, 5716, 6790, 7438, 761, 1924, 3040, 3181, 5011, 5365, 7238, 7772, 1035, 2001, 2677, 3425, 4766, 5573, 6234, 8250, 1033, 1948, 2207, 3845, 4297, 5260, 7004, 7602, 1071, 1167, 2695, 3870, 4346, 6024, 7028, 7852, 150, 1797, 2923, 3671, 5114, 5899, 6265, 7305, 160, 1924, 2946, 3201, 4374, 6180, 6302, 7508, 160, 1670, 2163, 3167, 5169, 5350, 6967, 8083, 610, 1797, 2924, 3826, 4785, 5565, 6485, 7707, 424, 1797, 2991, 3873, 5115, 6131, 6719, 8261, 1090, 2125, 3007, 3961, 5106, 6182, 7006, 7898, 1057, 1809, 2398, 3478, 4903, 5345, 6664, 8218, 938, 1407, 2258, 3701, 4734, 5814, 6281, 7906, 1005, 1350, 2878, 3998, 5164, 6120, 6655, 8126, 641, 1759, 2878, 3437, 4235, 6000, 7221, 7652, 641, 2055, 2878, 3731, 4635, 5713, 7127, 7500, 1001, 2055, 2511, 3566, 4896, 5523, 6244, 7572, 1001, 2055, 2511, 3498, 5017, 5650, 7053, 7525, 1001, 1937, 2440, 3736, 4238, 6002, 6871, 7627, 1001, 1674, 2376, 3826, 5145, 5202, 6840, 7462, 373, 1843, 2129, 3352, 4348, 6147, 7085, 7737, 715, 1608, 2988, 3352, 5019, 5836, 6255, 8267, 878, 1989, 2998, 4068, 4764, 5705, 7096, 7687, 833, 1275, 3092, 3895, 4856, 5855, 6709, 8267, 211, 1600, 2860, 4143, 4374, 6014, 7152, 8237, 304, 1833, 3006, 3516, 5038, 6146, 6972, 8107, 304, 1833, 3038, 3513, 5165, 6085, 6415, 7557, 448, 1865, 2554, 3229, 4764, 5942, 6614, 7633, 884, 1265, 3037, 3727, 5031, 5422, 6992, 7428, 802, 1543, 2205, 4160, 4205, 5470, 7151, 8151, 803, 1562, 3040, 3548, 4464, 5345, 6360, 7516, 1033, 1337, 2258, 3356, 4364, 5576, 6802, 7704, 756, 1991, 3086, 3920, 4339, 5439, 6784, 7559, 518, 2106, 2989, 3562, 4885, 5219, 6612, 7962, 518, 2106, 3092, 3866, 4423, 5776, 6671, 7992, 489, 1280, 3061, 3932, 4863, 6060, 6612, 8237, 878, 1750, 2391, 3364, 4622, 5837, 6338, 8209, 878, 1525, 2729, 4152, 4459, 6092, 7157, 8179, 518, 1750, 2560, 3206, 4844, 5630, 6740, 7865, 901, 2098, 2468, 3681, 4192, 6121, 6984, 7397, 568, 1865, 2858, 3645, 5079, 5804, 6892, 7494, 153, 1141, 2834, 3945, 4423, 5493, 6338, 8107, 731, 1763, 2936, 3488, 5120, 5641, 6265, 7939, 814, 1676, 2576, 3246, 4301, 5396, 6235, 8063, 802, 1412, 2511, 4067, 4657, 5289, 6642, 7842, 802, 1477, 2267, 3304, 4556, 6082, 6458, 7710, 1001, 1403, 2256, 3273, 4801, 5703, 6872, 7846, 802, 1477, 2656, 3290, 4382, 5800, 6813, 7710, 1005, 2051, 2797, 3154, 4510, 6137, 7190, 7480, 665, 1608, 2432, 4004, 4212, 5600, 7194, 8197, 569, 1337, 2621, 3455, 4739, 5835, 7140, 8047, 974, 1736, 2432, 3246, 4990, 5797, 6414, 8206, 339, 1809, 2242, 4073, 4552, 5734, 7071, 7592, 662, 1335, 2758, 3455, 4982, 6013, 6235, 7508, 693, 2086, 2857, 4120, 5115, 5558, 6959, 7467, 693, 1828, 2533, 3792, 5195, 5787, 6994, 7643, 482, 1930, 2758, 4120, 4555, 5325, 6818, 8173, 981, 1248, 2440, 3421, 5154, 5568, 6436, 7863, 1084, 1743, 2142, 3944, 4363, 5652, 6898, 7965, 1025, 1240, 2975, 3660, 4651, 5632, 6719, 8126, 424, 1146, 2905, 3307, 4960, 5527, 6422, 7815, 1090, 1296, 2783, 3679, 4575, 5436, 7230, 7631, 610, 2015, 2555, 4025, 4547, 5586, 6668, 7583, 424, 1306, 2440, 3513, 4206, 6007, 7114, 7737, 887, 1317, 2877, 4073, 4780, 5202, 6307, 7902, 104, 1141, 2661, 3964, 4780, 5431, 6614, 7745, 104, 1733, 2661, 3589, 4807, 5590, 7017, 7476, 887, 1494, 2661, 3395, 4807, 5438, 7042, 8121, 1013, 1407, 2366, 3496, 4440, 6131, 6782, 8050, 536, 1865, 2345, 3259, 4604, 5934, 6560, 8224, 645, 1934, 2679, 3323, 5064, 5286, 6267, 7592, 955, 2065, 2307, 3177, 5022, 6080, 6726, 7256, 1099, 1998, 2947, 3710, 5166, 6123, 6891, 7428, 1097, 2032, 2679, 3932, 5139, 6195, 7132, 7876, 935, 2017, 3008, 3945, 4713, 6085, 7207, 7918, 1097, 1992, 2803, 3226, 5159, 6139, 6588, 8179, 1097, 2000, 2947, 3825, 4980, 5635, 7006, 7557, 186, 1622, 2838, 3891, 5080, 6139, 7226, 8260, 555, 2111, 2991, 3540, 5058, 6186, 7058, 8223, 555, 1648, 2970, 3891, 4704, 5811, 6612, 8066, 555, 1648, 2918, 3595, 5080, 5219, 6677, 8179, 555, 1791, 3110, 3595, 5159, 6182, 6752, 7664, 4, 2 ]

[ 1, 28, 17, 66, 5, 43, 11, 63, 65, 5, 43, 77, 73, 53, 16, 54, 5, 28, 48, 44, 55, 78, 5, 64, 66, 69, 30, 5, 28, 44, 66, 76, 48, 54, 5, 43, 45, 53, 5, 16, 54, 30, 5, 31, 33, 53, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7124, 8147, 488, 2017, 2914, 3893, 5038, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3825, 4798, 6081, 6794, 7766, 756, 1623, 2988, 3470, 5061, 5811, 6540, 8126, 1033, 1141, 2975, 4168, 5134, 5210, 6979, 7965, 942, 1675, 3089, 3771, 4728, 5315, 6255, 8080, 1005, 2125, 2355, 3771, 4558, 5631, 6932, 7409, 776, 1141, 2300, 3583, 4691, 5496, 7154, 8108, 715, 1330, 2895, 3680, 5171, 6136, 7160, 7800, 105, 1467, 2801, 3710, 4844, 5749, 6870, 8245, 874, 1915, 2709, 3364, 4344, 5269, 6291, 7555, 256, 1623, 2936, 3543, 4638, 6034, 6671, 7664, 403, 1116, 3035, 3788, 4948, 5216, 6637, 8120, 891, 1865, 2560, 3795, 4915, 6003, 6609, 8092, 857, 1496, 2163, 3175, 5160, 5923, 7085, 8006, 871, 1827, 2361, 3680, 4215, 5721, 7128, 7586, 891, 1199, 2254, 4149, 4437, 5471, 6612, 7910, 373, 1591, 2890, 3413, 4773, 5519, 6347, 7838, 980, 1877, 3003, 3819, 4808, 5359, 6480, 7265, 891, 1615, 2764, 3701, 4570, 5966, 6382, 7992, 895, 1757, 2603, 4097, 4196, 5604, 6945, 7918, 271, 1483, 2247, 3938, 4501, 5491, 7108, 7812, 1041, 1499, 2948, 3869, 4636, 5862, 6726, 8229, 840, 1780, 2751, 3880, 4591, 6071, 6956, 7510, 536, 1454, 2670, 3953, 4409, 6176, 6224, 7629, 113, 1199, 2715, 4140, 4909, 5704, 6751, 8189, 1057, 1199, 2964, 3380, 5144, 5474, 7138, 7831, 1081, 1309, 3010, 3751, 4900, 5212, 6470, 7503, 887, 1664, 2678, 3873, 4606, 5453, 6614, 7676, 1005, 1897, 2564, 3696, 4323, 6183, 6537, 8153, 373, 1682, 2801, 3259, 4609, 5968, 6437, 8122, 887, 1324, 2564, 3206, 4856, 5205, 7010, 7583, 1081, 1403, 2586, 3224, 4690, 5573, 7019, 7761, 610, 1758, 2924, 3544, 4191, 5439, 6401, 8030, 211, 2065, 2144, 3669, 4615, 5621, 7201, 7842, 684, 1963, 3135, 3533, 4622, 5883, 6988, 8179, 859, 1116, 2771, 3873, 4777, 6007, 7201, 7717, 757, 2127, 2725, 3911, 4549, 5715, 6646, 8088, 118, 1286, 2469, 4166, 4617, 5548, 6542, 7311, 183, 1623, 2242, 3951, 4888, 5436, 6430, 8130, 757, 1269, 3133, 3880, 4913, 6160, 7043, 7628, 183, 2106, 2839, 3904, 4762, 5368, 6238, 7919, 183, 1286, 3144, 3966, 4918, 5514, 6515, 7602, 183, 1286, 3147, 4026, 4855, 5515, 7152, 7716, 183, 1286, 3139, 3680, 4549, 5942, 7120, 8261, 757, 1286, 2944, 4144, 5159, 6097, 6313, 8240, 859, 2127, 3133, 4071, 4870, 5844, 6677, 8236, 105, 2106, 2970, 3470, 4398, 5385, 7019, 8076, 859, 2127, 2806, 3470, 4398, 5413, 7077, 7717, 859, 1623, 3064, 3407, 5060, 6081, 6752, 7865, 555, 1623, 3021, 3803, 4549, 5550, 7226, 7766, 915, 1528, 3021, 3893, 4549, 5548, 6589, 7706, 915, 1623, 3062, 3914, 4387, 5892, 7120, 7766, 555, 2017, 3021, 4145, 4624, 5811, 6589, 8196, 915, 1623, 2914, 3893, 4549, 5635, 7226, 8196, 555, 1623, 3062, 3893, 4798, 5635, 7226, 7715, 105, 1623, 2880, 3407, 4681, 5550, 7207, 7485, 105, 1304, 2740, 3407, 5083, 6211, 6708, 7631, 183, 1141, 3046, 3914, 4888, 5514, 7084, 7949, 183, 1750, 2970, 3518, 4214, 6129, 7239, 8066, 513, 1906, 2370, 3664, 5160, 5436, 6613, 7698, 952, 1519, 2944, 3918, 4918, 5270, 6840, 7716, 160, 1906, 3062, 3949, 4651, 5918, 6696, 7717, 104, 2125, 2401, 3475, 4220, 6123, 6224, 7297, 1025, 1918, 2801, 3943, 4385, 5276, 7237, 8114, 487, 1238, 2874, 3380, 4185, 5762, 6671, 7861, 443, 1397, 2629, 4166, 4873, 5331, 7012, 7966, 104, 1171, 2946, 3232, 5122, 5574, 7069, 7858, 850, 1676, 2163, 3704, 4942, 5485, 7041, 7488, 826, 1858, 2129, 3999, 5100, 5727, 7053, 7962, 778, 1499, 2946, 3885, 5180, 5761, 6338, 7962, 887, 1227, 2797, 3755, 4670, 5350, 6604, 7641, 104, 1289, 2731, 3540, 4278, 6002, 7173, 7829, 1025, 1850, 2810, 3740, 4592, 5695, 6301, 8041, 610, 1809, 2502, 3870, 4318, 5893, 6891, 7591, 610, 1878, 2389, 4080, 5106, 5761, 7030, 7794, 887, 1939, 2661, 3533, 4573, 5557, 7037, 7591, 895, 1770, 3135, 3310, 4440, 5433, 7100, 7816, 271, 2079, 2775, 3448, 5020, 5413, 6333, 7959, 610, 1350, 2401, 3771, 4470, 5761, 6556, 7838, 610, 1676, 2750, 4098, 5153, 6070, 6776, 7774, 887, 1881, 2937, 3917, 5169, 5435, 6809, 8209, 104, 1227, 2731, 3533, 4622, 5534, 7220, 8209, 1025, 2079, 2582, 3187, 5165, 6146, 6708, 8260, 610, 1238, 3064, 3671, 5153, 6103, 7006, 7421, 779, 1534, 3098, 3162, 4782, 5630, 7152, 7887, 308, 1944, 2880, 3516, 4287, 6123, 7239, 7421, 1099, 2046, 2947, 4071, 5080, 6129, 6709, 8260, 1097, 1998, 2960, 4108, 5166, 6129, 6515, 7723, 952, 1455, 2771, 3662, 4617, 6039, 7162, 7962, 986, 1397, 2555, 3307, 4180, 6181, 7230, 8268, 807, 1335, 2282, 3714, 4792, 5652, 7100, 8117, 582, 1553, 3080, 3421, 4218, 5643, 6917, 8215, 986, 1932, 2751, 3776, 4670, 5938, 7003, 7631, 487, 1717, 2491, 3417, 4881, 5509, 6251, 7487, 545, 1700, 3116, 4103, 5193, 5435, 6414, 7479, 391, 1550, 2741, 3741, 4345, 5263, 6765, 8037, 1090, 1918, 2990, 3986, 4881, 5938, 7129, 7697, 424, 2008, 2890, 3298, 4364, 5532, 7152, 8236, 582, 2063, 2610, 3521, 4351, 5212, 6443, 8185, 1003, 2024, 2818, 3582, 4925, 5615, 6893, 7542, 610, 1834, 2163, 3424, 4334, 5942, 7229, 7965, 731, 2008, 2728, 3395, 4218, 5325, 6670, 7862, 424, 1919, 2131, 3679, 4691, 5325, 7048, 7732, 1025, 1399, 2661, 3581, 4604, 6056, 6871, 7485, 424, 1978, 3101, 3428, 4912, 6191, 6515, 8150, 850, 1676, 3006, 3361, 4592, 5981, 6667, 8132, 610, 2009, 2783, 3380, 5100, 5767, 7168, 8009, 610, 1499, 2946, 3917, 4586, 5360, 7207, 7806, 610, 1858, 3043, 3671, 5165, 6128, 7239, 8179, 610, 1797, 2492, 3231, 4985, 5493, 7004, 8083, 390, 1915, 2946, 3201, 5145, 6085, 7132, 8080, 512, 2046, 3064, 4108, 5096, 5883, 6515, 7811, 568, 1176, 3064, 3824, 5081, 5899, 6613, 7657, 225, 1210, 2288, 3344, 4282, 5706, 7049, 8132, 225, 1570, 3114, 3662, 4329, 5678, 6604, 8076, 225, 2002, 2897, 4171, 5134, 5514, 6607, 7962, 228, 1468, 2833, 3550, 4225, 5493, 7152, 8267, 228, 2061, 2251, 3515, 5135, 5734, 7077, 8164, 543, 1426, 3133, 3994, 4555, 5901, 6607, 8061, 915, 1468, 3008, 3374, 5166, 6081, 7077, 7677, 818, 2017, 2806, 3893, 4704, 5832, 7226, 8237, 105, 1304, 2988, 3914, 4923, 5223, 6302, 8066, 489, 2111, 3064, 3413, 4512, 6130, 7037, 7721, 211, 2085, 2959, 3975, 4384, 5656, 6314, 8118, 716, 1296, 2293, 3864, 5050, 6073, 6601, 7293, 936, 1773, 2436, 3201, 4285, 5444, 6500, 8099, 650, 2117, 2744, 3922, 5098, 6069, 6803, 7755, 1057, 1171, 2750, 4126, 5026, 6063, 7044, 8103, 1090, 2106, 2396, 4027, 4513, 5564, 6668, 8066, 1056, 2125, 2586, 3487, 4186, 5834, 7006, 8107, 308, 1791, 2924, 3803, 4470, 5661, 6972, 8080, 779, 1534, 2783, 4115, 5080, 5635, 6668, 7421, 1056, 1675, 3064, 3188, 5166, 6211, 6786, 7764, 211, 2063, 2582, 3803, 4888, 5832, 6540, 7806, 779, 1963, 3064, 3990, 5061, 6081, 6972, 8196, 1056, 1675, 3064, 3188, 5061, 5635, 6972, 8237, 884, 1942, 2436, 3266, 4651, 6159, 6348, 8269, 826, 1782, 3075, 3580, 4604, 5616, 7181, 8178, 986, 1978, 3101, 3936, 4354, 5884, 6734, 7568, 582, 2079, 3116, 3918, 4458, 6111, 7086, 8188, 859, 1791, 3098, 4108, 5083, 5527, 6809, 7641, 915, 1467, 2880, 4011, 5058, 5340, 6988, 8147, 419, 1620, 2925, 4108, 4762, 6103, 6786, 7838, 568, 1372, 2560, 3391, 4512, 5870, 7120, 8126, 568, 1147, 2542, 4092, 4743, 5811, 6338, 7563, 617, 2106, 3026, 3470, 5188, 5956, 7120, 8066, 171, 1604, 2975, 3891, 5034, 6205, 6688, 7579, 473, 1141, 2856, 4018, 4877, 5536, 7095, 7383, 833, 1173, 2771, 3932, 4651, 5555, 6668, 8185, 955, 1833, 2924, 3191, 5038, 5873, 7084, 7887, 1033, 1428, 2383, 3909, 4470, 5590, 6589, 7806, 887, 1850, 3092, 3918, 4501, 6103, 6979, 7846, 887, 1860, 2582, 3870, 4536, 5899, 7237, 8260, 104, 1773, 2282, 3522, 4611, 5204, 6799, 8028, 1025, 1942, 2254, 4106, 5088, 6035, 6493, 7313, 826, 1550, 3075, 4126, 4604, 5740, 6265, 7574, 986, 1771, 2429, 3472, 4303, 5836, 6840, 8139, 887, 2033, 2515, 3796, 4720, 5640, 6840, 7873, 104, 1550, 2678, 3962, 5110, 5266, 6769, 7367, 104, 1550, 2678, 3949, 5159, 6163, 6603, 7275, 1090, 1167, 2783, 3756, 4615, 5565, 6614, 7960, 1090, 1721, 2960, 3982, 4215, 5767, 6709, 7908, 304, 1721, 2781, 3516, 4890, 6195, 7201, 7919, 304, 1721, 2781, 3945, 5153, 6182, 6988, 8237, 1090, 1721, 2783, 4006, 5058, 6146, 6614, 7908, 1090, 1797, 2422, 3827, 5153, 5855, 6642, 7810, 390, 1897, 2315, 4018, 4980, 5573, 7237, 8267, 390, 1945, 3021, 4011, 5145, 5436, 6630, 7723, 103, 2125, 2970, 3681, 4966, 5276, 6414, 7591, 211, 1238, 2936, 3502, 4387, 6182, 6651, 7873, 211, 1998, 2924, 3994, 4337, 5650, 6702, 7895, 211, 1523, 2839, 3912, 4592, 5204, 7120, 7476, 643, 1281, 2838, 3420, 4925, 5548, 6809, 7706, 970, 1692, 2912, 3420, 4521, 6194, 7156, 7905, 692, 1550, 2134, 3500, 5143, 5216, 6449, 7767, 582, 1545, 2830, 3466, 5179, 6194, 6343, 8189, 1036, 1637, 2137, 3248, 5005, 5277, 6449, 7592, 1024, 1550, 3031, 3807, 5097, 5852, 6501, 7636, 643, 1370, 2359, 3361, 4539, 5523, 6467, 7262, 150, 1826, 2258, 3393, 4497, 6118, 7129, 7712, 211, 1250, 2163, 3866, 5153, 5673, 6581, 8132, 610, 1771, 2794, 3581, 4993, 5210, 7149, 7570, 610, 1255, 2389, 3937, 4993, 5536, 6401, 8121, 610, 1393, 3092, 3410, 4623, 5575, 7084, 7557, 1081, 1878, 3053, 3410, 4470, 5599, 6283, 7397, 887, 1978, 3064, 3671, 4981, 5379, 7207, 7687, 1090, 1682, 2492, 3253, 4179, 5749, 7157, 8093, 1025, 1797, 3008, 3440, 5166, 5761, 6668, 8195, 1025, 1797, 3064, 3440, 4780, 6129, 6903, 8076, 940, 1797, 2946, 3440, 4592, 5534, 7207, 8185, 951, 1852, 2598, 4145, 4282, 6070, 7142, 7664, 1047, 1526, 2959, 3710, 4440, 5573, 6774, 8213, 899, 1349, 2941, 3226, 4980, 6075, 7160, 7582, 537, 2100, 2941, 3965, 4870, 5678, 7010, 8061, 987, 1349, 2165, 3754, 4189, 5216, 6967, 7657, 1088, 1706, 2633, 3512, 4344, 5234, 6307, 8181, 247, 1948, 2981, 3216, 5154, 5445, 6510, 8081, 492, 1707, 3011, 3755, 5039, 6147, 6918, 8210, 113, 1728, 2383, 3394, 5127, 5341, 7048, 7777, 1066, 1421, 2381, 3261, 4678, 5860, 6411, 8079, 1090, 1660, 2429, 4068, 5104, 5305, 6603, 8237, 1025, 1671, 2429, 3826, 4469, 5406, 6612, 7957, 610, 1200, 3080, 3732, 5096, 5573, 6515, 7821, 1025, 1797, 2444, 4145, 5166, 5981, 7023, 7856, 160, 1777, 2258, 4031, 4536, 5661, 7160, 7367, 1090, 1682, 2783, 4096, 4179, 5968, 6979, 7469, 304, 1721, 3128, 4071, 5125, 6129, 7160, 8147, 304, 1721, 2340, 3945, 4583, 6182, 7111, 7631, 684, 2107, 2803, 3886, 5166, 5883, 7160, 8066, 804, 1370, 2542, 3516, 4859, 6205, 6612, 7421, 715, 1797, 3008, 3511, 4782, 5755, 7084, 7421, 448, 1826, 2905, 3989, 4326, 5767, 6961, 7813, 545, 1821, 3036, 4128, 4476, 5323, 6875, 7672, 986, 1110, 3040, 4122, 5073, 5867, 6521, 7555, 265, 1185, 3037, 3931, 4536, 6171, 6666, 7894, 223, 1938, 2726, 3513, 4915, 5532, 6901, 7873, 986, 2028, 3140, 3172, 4254, 6107, 6382, 7678, 504, 1206, 2671, 4112, 5097, 5460, 6857, 7637, 807, 2052, 2245, 3690, 5014, 5257, 6563, 7650, 150, 2027, 2755, 3248, 4318, 6118, 6870, 7976, 952, 1818, 3049, 3393, 5193, 6118, 7059, 7795, 1029, 2118, 2755, 4142, 4215, 5205, 6929, 7990, 1005, 1296, 2554, 3390, 4719, 5577, 7229, 7895, 776, 1728, 3088, 3425, 4719, 5454, 6632, 7964, 610, 1540, 2389, 3918, 4212, 5650, 6668, 8172, 104, 1717, 2515, 4152, 4883, 5378, 7012, 7723, 610, 1577, 2582, 3901, 5088, 6050, 6972, 7821, 831, 1778, 2794, 3671, 5104, 5761, 7090, 8261, 610, 2063, 2924, 4145, 5122, 5534, 7075, 7865, 1090, 2107, 2750, 4068, 4782, 5534, 7181, 7555, 424, 1931, 3080, 3361, 4981, 5378, 6809, 8213, 663, 1821, 2946, 3826, 4379, 6084, 7069, 7466, 831, 1978, 3098, 3671, 5073, 5678, 7207, 7720, 610, 1577, 2515, 3766, 4983, 5630, 7207, 7918, 1090, 1369, 2515, 3909, 4586, 5300, 6709, 7716, 424, 1238, 2946, 3870, 5096, 5804, 6967, 7515, 192, 1444, 3038, 3960, 4197, 5766, 6706, 8164, 508, 1139, 2758, 3500, 4949, 5631, 6422, 7828, 776, 1139, 2452, 3343, 4335, 5724, 6630, 7255, 804, 2065, 3007, 3175, 4867, 5216, 6668, 8195, 186, 2065, 2947, 4071, 5106, 5340, 6852, 7664, 142, 1528, 3110, 3803, 4704, 5340, 7023, 7753, 818, 1791, 2164, 3803, 4798, 5241, 6752, 7876, 818, 1528, 2991, 3825, 5080, 6139, 6794, 7949, 4, 2 ]

[ 1, 67, 14, 55, 51, 5, 77, 73, 5, 5, 5, 53, 26, 5, 30, 45, 63, 5, 5, 5, 43, 48, 5, 64, 33, 30, 5, 5, 5, 50, 33, 54, 66, 52, 47, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 915, 1851, 2806, 3914, 4624, 5963, 7006, 8237, 915, 1851, 2806, 3364, 4583, 5296, 6604, 8223, 915, 2017, 2473, 3893, 4798, 5493, 7006, 7563, 899, 2030, 2641, 4011, 4541, 5705, 6909, 8167, 500, 2118, 2943, 3359, 4427, 5809, 6962, 8150, 216, 2045, 2980, 3680, 5193, 5296, 6765, 7476, 640, 1180, 3137, 3253, 4321, 5332, 7094, 7248, 249, 1543, 2869, 3520, 4664, 5982, 6941, 7610, 363, 1884, 3103, 3279, 4755, 5533, 6554, 8015, 1023, 1820, 2343, 3419, 4612, 5581, 7128, 7438, 465, 1397, 2761, 3181, 4539, 5624, 6626, 7497, 443, 1561, 3029, 4146, 4546, 5506, 6886, 7741, 487, 1581, 2348, 4162, 4364, 5200, 7181, 7800, 831, 1577, 2543, 3464, 5122, 5500, 7028, 7774, 390, 1489, 2533, 4055, 5088, 6175, 6822, 7720, 288, 1467, 2419, 3914, 5088, 6181, 6776, 7673, 709, 1562, 3008, 3617, 5169, 5385, 6810, 7715, 859, 1623, 2926, 3795, 4556, 5873, 6340, 7515, 568, 2043, 2818, 4080, 4923, 5308, 6671, 7887, 356, 2078, 2854, 3726, 4529, 5296, 6242, 8016, 105, 2078, 3046, 3550, 4586, 5296, 7051, 8245, 356, 1963, 2875, 3407, 5104, 5438, 6776, 8195, 750, 1116, 2838, 3861, 4191, 5216, 6426, 7515, 955, 2113, 2792, 3766, 4594, 5485, 6811, 7311, 1035, 1561, 2895, 3823, 4277, 5223, 6769, 8172, 104, 1586, 2797, 3714, 4942, 6163, 6894, 7877, 391, 1322, 2552, 3298, 5004, 5811, 7114, 8156, 104, 1275, 2429, 4162, 5183, 6123, 7090, 7397, 826, 1141, 2463, 3937, 5088, 5904, 7099, 8035, 1024, 1269, 2648, 3170, 4736, 6007, 6360, 8247, 980, 1269, 2136, 3207, 4627, 5832, 7014, 7843, 831, 1164, 2678, 3961, 5006, 5890, 6270, 8093, 424, 1931, 3080, 3917, 4234, 5953, 6972, 7829, 391, 1455, 2944, 3479, 4993, 5573, 6614, 8126, 937, 1858, 2365, 3999, 5110, 5305, 7149, 8117, 204, 1773, 3033, 4005, 5022, 5276, 6569, 7937, 535, 1757, 2840, 4168, 4809, 5891, 6554, 7718, 1036, 1404, 2165, 3408, 5149, 6202, 6426, 7358, 1101, 1919, 2159, 3152, 4205, 5461, 7212, 7962, 293, 1397, 2408, 3775, 4855, 5450, 6828, 8006, 840, 1967, 2972, 3421, 4338, 5526, 7001, 7974, 113, 1650, 2629, 3568, 4832, 5790, 6929, 7724, 672, 1286, 2346, 3647, 5186, 5401, 6570, 8165, 547, 1918, 2131, 3373, 4678, 5765, 6965, 7834, 487, 1504, 2210, 3894, 4709, 6187, 6593, 7293, 880, 1640, 2783, 3668, 4606, 5615, 6302, 7675, 709, 1992, 2729, 4145, 4235, 5710, 6850, 7542, 684, 2046, 2436, 4074, 4895, 5548, 6980, 7716, 571, 1945, 3098, 4085, 4670, 5705, 6382, 7664, 684, 1455, 2838, 3981, 4888, 6205, 6852, 7764, 709, 1827, 2960, 3206, 4435, 5705, 6980, 7631, 143, 1397, 3008, 3515, 4582, 5924, 7047, 8252, 722, 1206, 2717, 3994, 4538, 5924, 7207, 8200, 614, 1942, 2794, 3374, 5125, 6033, 7076, 8213, 862, 1397, 2399, 3300, 4582, 5549, 7246, 8214, 569, 1942, 2946, 3741, 5169, 5589, 6556, 8165, 614, 1942, 2794, 3472, 5054, 5341, 6892, 7602, 545, 1164, 2366, 3487, 4831, 5918, 7165, 7490, 1049, 1118, 2751, 3521, 4371, 6034, 6849, 8207, 487, 1324, 2309, 3603, 4705, 5769, 7152, 8195, 1024, 1732, 2678, 3159, 5184, 5730, 6670, 8117, 1024, 1182, 2708, 3751, 5050, 5751, 7037, 7932, 725, 1397, 2669, 3910, 4814, 5721, 6273, 7383, 575, 1411, 2629, 3979, 4631, 5325, 6595, 7784, 504, 1552, 2598, 4003, 4575, 5672, 6844, 8061, 981, 1711, 3013, 3609, 4522, 5982, 6504, 7878, 1022, 1586, 2553, 3514, 4484, 6073, 6251, 7652, 1001, 1732, 2378, 3360, 4461, 5216, 6365, 8012, 981, 1758, 2980, 3820, 4205, 5942, 6654, 7363, 271, 1590, 2348, 4087, 4383, 5828, 7157, 7696, 913, 1209, 2492, 3956, 5134, 5835, 7047, 7312, 1024, 1510, 2598, 3271, 4497, 5428, 6910, 7419, 547, 1510, 2766, 4053, 4266, 6135, 6346, 7855, 778, 1510, 2861, 3384, 5070, 5321, 6348, 7856, 1003, 1139, 2436, 4098, 4758, 5264, 7168, 7844, 610, 1992, 2946, 4146, 4533, 6163, 6910, 7807, 1090, 1363, 2586, 3232, 5006, 5834, 7207, 8209, 512, 1323, 2936, 4168, 4670, 5981, 7201, 8179, 1099, 1963, 2946, 3891, 4287, 5974, 6507, 8147, 1097, 2041, 2925, 4071, 4888, 5385, 7207, 7631, 488, 2111, 3117, 3645, 4366, 6051, 6515, 8260, 488, 1528, 2806, 3710, 4888, 5210, 7077, 7876, 818, 2017, 2914, 3893, 4624, 6139, 7226, 8147, 488, 1528, 3117, 3367, 4624, 6139, 7077, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1528, 2164, 3893, 4624, 6186, 7077, 8223, 915, 1876, 3095, 3914, 4798, 6186, 7201, 7806, 1099, 1876, 3065, 4108, 5104, 5612, 6584, 8237, 1099, 1304, 2941, 3873, 5038, 5612, 7160, 7949, 160, 1561, 2542, 3732, 4555, 6000, 6772, 7383, 569, 1550, 2492, 3192, 4995, 5269, 6918, 7627, 1003, 1942, 2288, 3560, 5180, 5269, 6765, 8234, 952, 1831, 2440, 3695, 4902, 5918, 7048, 8108, 715, 1489, 3098, 3894, 4218, 5697, 7149, 7614, 317, 1782, 2988, 4066, 4700, 6123, 6884, 7962, 195, 1186, 2242, 3205, 4541, 5727, 6476, 8022, 195, 2127, 2970, 3550, 4701, 5727, 7024, 7811, 654, 2034, 2953, 3827, 4993, 5534, 6453, 7716, 127, 1684, 3133, 4006, 4344, 5767, 7239, 8118, 518, 1684, 2251, 3595, 5159, 6146, 7120, 7717, 256, 1684, 2944, 3914, 4329, 5390, 6443, 7476, 337, 1620, 3128, 4145, 4611, 6129, 7129, 7421, 223, 1265, 2332, 4003, 4775, 5752, 6919, 8118, 862, 1349, 2902, 3913, 4530, 5889, 6603, 7321, 683, 1461, 2527, 3741, 4664, 5953, 6913, 7549, 247, 1942, 2901, 3417, 5016, 5557, 6805, 7817, 807, 1691, 2196, 3792, 4538, 5714, 6680, 7502, 970, 1485, 2401, 3904, 5097, 5903, 7072, 7980, 684, 1623, 2128, 4006, 5020, 6025, 7207, 7887, 390, 1881, 2315, 4171, 5159, 6063, 7084, 7631, 571, 1182, 2947, 3188, 4551, 5678, 7237, 8179, 571, 1945, 2793, 3982, 4630, 5993, 6515, 8070, 356, 1706, 3144, 3904, 4180, 5325, 6884, 7448, 699, 1706, 2349, 3359, 5135, 5984, 7012, 8025, 225, 1685, 2875, 4145, 4890, 5220, 7197, 8236, 118, 1865, 2717, 3900, 5115, 5503, 6603, 8106, 844, 1388, 2918, 4143, 5048, 5292, 6849, 7717, 752, 1873, 2492, 4143, 4522, 5479, 6789, 7716, 993, 1455, 2315, 3341, 4604, 5709, 6884, 7816, 862, 2107, 2741, 3613, 4498, 5942, 6708, 7986, 862, 1639, 3080, 3877, 5124, 5792, 6532, 7549, 938, 1349, 2720, 3916, 4318, 5745, 6847, 8270, 266, 1349, 2491, 3485, 4275, 5934, 6783, 8019, 504, 1496, 2156, 3210, 4617, 5509, 6240, 8117, 1056, 1682, 3098, 3771, 4813, 6063, 7044, 7908, 980, 1943, 3098, 4145, 5169, 5216, 6809, 7492, 304, 1430, 2292, 3277, 4589, 6051, 7019, 8236, 980, 1721, 3043, 3516, 5165, 6058, 7207, 7421, 804, 1705, 2661, 4068, 4870, 5765, 7010, 7716, 555, 1623, 2957, 3803, 5106, 5981, 6752, 7421, 510, 2091, 2989, 4170, 4867, 5241, 7006, 7723, 568, 1510, 2617, 3798, 4429, 6097, 6751, 7717, 617, 2073, 2904, 3994, 5088, 6007, 6840, 8009, 484, 1974, 2846, 3253, 5101, 6085, 7047, 8267, 211, 2088, 2582, 4166, 4630, 5219, 6677, 7876, 650, 1463, 2366, 3956, 4691, 5687, 6852, 7476, 547, 2107, 2429, 4004, 5092, 6114, 6535, 8173, 504, 1827, 3130, 3165, 4699, 5844, 6352, 7714, 913, 1826, 2924, 3424, 4311, 5524, 6349, 7397, 1036, 1510, 3032, 3943, 4434, 5810, 6510, 7453, 692, 1918, 2724, 4007, 4985, 5208, 6520, 8235, 585, 1455, 2821, 3986, 4986, 6048, 6476, 7687, 668, 1732, 2881, 3943, 4831, 5706, 6426, 7457, 1024, 1918, 2621, 3935, 4374, 5613, 6740, 7702, 725, 1842, 2381, 3986, 5134, 5971, 6654, 8139, 643, 1536, 2515, 3262, 4494, 6041, 6918, 7261, 970, 1942, 2352, 3655, 4437, 6119, 6717, 7838, 390, 1520, 2648, 4087, 4280, 5630, 7101, 8082, 308, 1750, 2803, 3885, 5139, 6195, 7207, 8237, 555, 1945, 3021, 3645, 4592, 5705, 6515, 7876, 488, 1847, 3110, 3893, 4624, 5892, 7226, 7766, 488, 1508, 3095, 3945, 4630, 6051, 6515, 7806, 488, 1528, 3117, 3367, 4624, 5883, 7201, 7715, 488, 1528, 2806, 3893, 4624, 6081, 7226, 7766, 488, 1528, 2164, 3893, 5038, 5241, 7124, 8223, 818, 1528, 2957, 4018, 4870, 5635, 6988, 8147, 308, 2106, 3064, 3886, 4551, 5694, 6589, 7421, 915, 2017, 2164, 3914, 4704, 6081, 6752, 7723, 915, 2017, 3021, 3891, 4512, 6186, 7207, 8080, 915, 2017, 3021, 3891, 4512, 6186, 6996, 8223, 488, 1648, 2914, 3893, 4624, 6139, 7226, 8147, 488, 1648, 2806, 3893, 4624, 6139, 6752, 8223, 488, 1528, 2833, 3893, 4387, 6081, 7124, 7664, 488, 1528, 2833, 3893, 4624, 6139, 6677, 8223, 488, 1528, 2833, 3893, 4624, 6139, 6677, 8223, 915, 1648, 2833, 3914, 4622, 6139, 6515, 7766, 555, 1648, 2833, 4145, 4512, 5981, 6996, 8076, 915, 2017, 3021, 3893, 4798, 5811, 6996, 8223, 915, 1622, 2833, 3893, 4622, 6139, 6996, 8196, 915, 2017, 2164, 3914, 4622, 5811, 7124, 8223, 915, 1648, 2806, 3914, 4622, 5811, 6584, 8223, 915, 2017, 2858, 3914, 4798, 6081, 6752, 7664, 915, 2017, 2833, 3825, 4622, 6139, 6996, 7766, 915, 2017, 2833, 3914, 4798, 5811, 7120, 7723, 4, 2 ]

[ 1, 76, 45, 31, 5, 16, 5, 51, 57, 52, 66, 5, 14, 66, 5, 43, 35, 5, 43, 48, 52, 78, 5, 5, 3, 142, 1622, 2858, 4174, 4704, 6139, 6752, 8147, 186, 2032, 3143, 3893, 4781, 5901, 6972, 8054, 488, 2032, 3143, 3893, 4624, 5901, 7226, 8196, 488, 1528, 2947, 4174, 5038, 5635, 6794, 8196, 956, 1869, 2949, 4018, 5061, 5612, 6709, 7876, 684, 1791, 3143, 4166, 4980, 5705, 7084, 7723, 716, 1705, 2860, 3516, 5061, 5637, 7184, 7494, 660, 1499, 2724, 3323, 5047, 5869, 6224, 7983, 1058, 1199, 2429, 3366, 4595, 5291, 6474, 8161, 319, 1828, 2261, 3831, 4546, 6060, 7240, 8044, 959, 1426, 2520, 3552, 4353, 6005, 7196, 7776, 901, 1918, 2709, 4067, 4212, 5723, 6873, 7732, 825, 1915, 2627, 3187, 5022, 5218, 6772, 8083, 459, 1682, 2312, 3878, 4412, 5610, 7104, 7267, 840, 1557, 2869, 3997, 4905, 5345, 6923, 7992, 635, 1826, 3058, 4136, 5023, 5838, 6359, 7885, 1101, 1557, 2836, 3573, 4364, 6101, 7039, 7667, 288, 2117, 2183, 3709, 4478, 5579, 6830, 7810, 1099, 1171, 2444, 4005, 5061, 6205, 6972, 8185, 1099, 2068, 3128, 4150, 4888, 6175, 6752, 8267, 818, 1847, 3006, 3866, 5061, 6146, 7201, 8076, 935, 2065, 2996, 3982, 4782, 5687, 7168, 8185, 935, 1562, 3144, 3886, 4888, 6139, 6809, 7641, 914, 2068, 3095, 4171, 4583, 6131, 7239, 8076, 91, 1396, 3124, 4036, 4345, 5438, 7024, 7367, 485, 2002, 2759, 4163, 4411, 5540, 7144, 7620, 317, 1452, 3133, 3566, 5169, 5672, 6691, 8266, 591, 2030, 2175, 3961, 4852, 6214, 6401, 7419, 923, 1897, 2175, 3552, 4481, 5945, 7067, 7743, 223, 1849, 2361, 3175, 4470, 6032, 7030, 7937, 864, 1469, 2859, 3164, 5066, 5509, 6881, 7882, 277, 1469, 2613, 3666, 4593, 5585, 6732, 7868, 1024, 1166, 3019, 3997, 4729, 5202, 6458, 7823, 547, 1469, 2247, 3152, 4983, 5953, 7101, 7376, 547, 1469, 2353, 3997, 4176, 5478, 6849, 8217, 386, 1469, 2349, 3740, 4215, 5499, 6281, 7632, 113, 2066, 2374, 3755, 4531, 5934, 6928, 7712, 1029, 1969, 2455, 3847, 5018, 5966, 6309, 7863, 643, 1681, 2486, 3213, 4557, 5245, 6470, 7476, 1090, 2050, 2151, 3968, 4784, 5360, 6881, 7882, 1025, 2019, 2659, 3252, 4389, 5887, 6966, 7424, 1051, 1581, 2832, 3318, 4684, 5305, 6780, 7592, 390, 2084, 2470, 3226, 4276, 5439, 6850, 7476, 617, 1519, 2560, 3977, 5195, 6129, 6627, 7807, 935, 1945, 2833, 3866, 5038, 5438, 6709, 7865, 518, 2098, 2820, 4074, 4512, 6137, 7184, 7538, 225, 1424, 2221, 3511, 4854, 5296, 6273, 7574, 552, 1623, 2560, 3994, 4181, 5890, 7162, 7828, 935, 1620, 2833, 3413, 5088, 5493, 6810, 7563, 552, 1851, 2839, 4067, 4877, 5563, 7207, 7527, 427, 1684, 3008, 4174, 5040, 6175, 6630, 7627, 763, 1286, 2956, 4124, 5147, 5345, 7160, 7907, 1088, 2115, 2487, 3771, 5169, 5760, 6894, 8101, 1088, 2060, 2487, 3510, 4471, 5641, 6852, 7940, 673, 2069, 3055, 3323, 4664, 5556, 6593, 8069, 793, 1162, 2725, 3896, 4431, 5575, 6456, 7486, 249, 2060, 3041, 3368, 5048, 5695, 7074, 7416, 247, 1631, 2465, 3663, 4734, 5526, 7083, 7396, 113, 1752, 2271, 3604, 5091, 5341, 6891, 7869, 211, 1332, 2725, 3918, 4214, 5869, 6671, 7336, 555, 1945, 3008, 4145, 4923, 6123, 6612, 7476, 489, 1974, 2493, 3720, 4994, 5568, 7103, 7744, 183, 1349, 2971, 3518, 4877, 6195, 7217, 7664, 183, 1349, 2493, 3928, 4764, 5520, 7192, 7843, 552, 2097, 3062, 4028, 4558, 5626, 7091, 7291, 552, 1324, 2858, 3886, 5157, 5436, 6540, 7664, 373, 1758, 2771, 4097, 4895, 5228, 7026, 7881, 223, 1724, 2661, 3648, 4430, 6101, 7138, 7367, 249, 1758, 2309, 3619, 5029, 6082, 6834, 8103, 113, 1455, 2440, 3828, 4338, 5693, 6403, 7411, 1023, 1555, 2564, 3578, 4257, 5624, 6257, 7696, 840, 1635, 2564, 3559, 4378, 5838, 7242, 7701, 1067, 1586, 2763, 3305, 4855, 5471, 6497, 8003, 895, 1758, 2506, 3554, 4209, 6204, 6764, 7469, 465, 2059, 2800, 3605, 4382, 6078, 6237, 7888, 1057, 2008, 2156, 3544, 5052, 6118, 6529, 7584, 304, 1434, 2242, 3802, 4935, 5578, 6639, 7341, 390, 2063, 2858, 3983, 5142, 5960, 6889, 7913, 356, 1773, 2991, 3407, 5080, 6189, 6349, 8118, 183, 1237, 3080, 3876, 4523, 5981, 6958, 7865, 183, 1777, 2750, 3281, 4387, 5694, 6309, 7524, 183, 2097, 3110, 4149, 4287, 5527, 6604, 7563, 183, 2097, 3022, 3753, 4797, 5705, 7096, 7537, 756, 1773, 2970, 3886, 4834, 5493, 7220, 7563, 752, 1996, 3000, 3710, 5160, 6211, 6719, 7806, 1033, 1708, 2542, 4007, 4220, 5695, 7237, 8151, 986, 1563, 2655, 3824, 5184, 5388, 6632, 7828, 920, 1692, 3018, 3410, 4321, 5538, 7219, 8052, 487, 2055, 2655, 3329, 4346, 5640, 6998, 7873, 884, 1423, 2131, 3714, 5023, 5976, 6270, 7318, 807, 1858, 2807, 4021, 4364, 5585, 7141, 8183, 986, 2033, 3029, 4003, 4413, 5814, 6760, 7683, 986, 1393, 3029, 3610, 4774, 5899, 6944, 7801, 986, 1924, 2750, 3936, 4774, 5286, 6466, 7531, 150, 1948, 3075, 3695, 4364, 6120, 6881, 8106, 610, 1782, 2795, 3515, 4604, 5574, 6291, 7919, 150, 1570, 2895, 3666, 4774, 6050, 6614, 7842, 150, 1397, 2629, 3298, 5022, 5793, 7033, 7318, 150, 1171, 2222, 3298, 4323, 5810, 6687, 7745, 895, 1770, 2346, 3581, 4539, 5835, 6234, 7427, 271, 1972, 2923, 3239, 4955, 5697, 6895, 7545, 1067, 1838, 2697, 3580, 5020, 5876, 6263, 8128, 864, 1838, 2847, 3882, 4547, 5443, 6799, 7920, 1008, 1339, 2330, 3477, 4399, 5965, 6295, 7590, 104, 1524, 2400, 3182, 4200, 5419, 7042, 8119, 104, 1146, 2609, 3643, 4399, 5917, 7229, 7744, 1025, 2050, 2897, 3442, 4219, 5485, 7091, 7841, 1025, 1856, 2175, 3632, 5144, 5294, 6663, 7981, 1016, 2001, 2175, 3307, 4324, 5295, 6639, 7488, 150, 1141, 2348, 3751, 4545, 6121, 6992, 7560, 938, 1141, 3106, 3475, 4214, 6018, 7112, 8150, 115, 2063, 2777, 4162, 4536, 6035, 7154, 8164, 1014, 1596, 2801, 3749, 4335, 6160, 6337, 8093, 654, 1736, 2904, 3511, 4882, 5276, 6832, 8164, 576, 1736, 3109, 4125, 5125, 6110, 6256, 8043, 195, 1323, 2497, 3996, 5104, 5978, 6810, 8211, 228, 2111, 3147, 3227, 5090, 5761, 7165, 7303, 543, 1304, 2554, 3595, 5135, 6110, 6752, 7574, 555, 2111, 2221, 3391, 4877, 5963, 6752, 7477, 488, 1622, 3117, 3277, 4555, 5515, 6889, 7865, 915, 1528, 2554, 3825, 4287, 5677, 6889, 7715, 555, 1528, 2970, 4026, 4877, 5515, 7152, 7303, 859, 1974, 2833, 3391, 4877, 5241, 7006, 8223, 105, 2106, 2490, 3827, 5007, 5413, 7124, 7715, 859, 1684, 2858, 4006, 5159, 5413, 7090, 8261, 105, 2106, 2833, 3931, 4681, 5515, 6988, 7557, 105, 2106, 2833, 3391, 4398, 5436, 6840, 8261, 105, 1648, 3147, 4166, 5079, 5385, 6604, 7664, 859, 2002, 2970, 3931, 4890, 5548, 6515, 7421, 105, 1586, 3143, 3376, 5088, 5610, 6589, 8080, 4, 2 ]

[ 1, 64, 66, 58, 54, 16, 41, 33, 64, 47, 40, 65, 5, 43, 17, 66, 5, 5, 3, 654, 2002, 2725, 4057, 4512, 5249, 6576, 7476, 654, 1424, 2172, 3951, 5075, 5386, 6947, 7921, 789, 1645, 2833, 4121, 5083, 6048, 6551, 8080, 419, 1851, 3064, 4174, 4877, 6048, 6515, 7781, 488, 1528, 2806, 4174, 4611, 5241, 7226, 8147, 419, 1528, 3133, 4026, 4704, 5515, 6996, 8237, 240, 2098, 2560, 4174, 5083, 5963, 6979, 8266, 568, 1468, 2582, 3726, 4651, 5825, 6371, 7816, 685, 1510, 3013, 3704, 4849, 5734, 7224, 7756, 664, 1742, 2429, 3232, 5031, 5382, 6598, 8215, 723, 1346, 2492, 3398, 5117, 6117, 6466, 8201, 840, 2055, 2667, 3623, 5015, 5888, 6833, 7955, 408, 1305, 2599, 3626, 4298, 5512, 7232, 8048, 104, 1146, 2743, 3727, 5124, 6065, 7204, 8006, 993, 1926, 3091, 3556, 4268, 6063, 6481, 7622, 864, 1339, 2595, 3599, 4565, 5655, 7235, 7694, 271, 1674, 2407, 3599, 4330, 5494, 6941, 7765, 826, 2061, 2902, 3318, 4402, 5408, 7123, 7271, 408, 1778, 2282, 4016, 4920, 5796, 6432, 8015, 850, 1831, 3145, 3498, 4205, 5364, 7229, 8224, 826, 1865, 2887, 3517, 4364, 5366, 7094, 8135, 895, 1831, 2515, 3660, 5164, 5810, 6888, 7886, 1025, 1350, 2661, 4058, 4931, 5571, 6809, 7717, 826, 1676, 2581, 3307, 5083, 6002, 6592, 7426, 887, 1881, 2515, 3347, 5166, 6114, 6688, 7664, 1090, 1850, 2924, 4030, 4861, 5616, 7019, 7290, 610, 2095, 3061, 3916, 4334, 6058, 7157, 7485, 804, 1992, 2293, 4166, 4551, 6195, 7010, 7547, 789, 2073, 2709, 3582, 4872, 5821, 7100, 8179, 789, 1791, 2473, 4006, 4844, 5981, 6584, 8114, 256, 1750, 3000, 4103, 4423, 5765, 7218, 8132, 789, 1218, 2340, 3516, 5058, 5901, 6607, 7716, 256, 1851, 2946, 3891, 5048, 6129, 6589, 8179, 518, 2111, 3062, 4026, 4651, 5681, 6671, 7971, 91, 1510, 2652, 3951, 5120, 5678, 7158, 8060, 211, 1668, 3080, 3487, 4611, 5630, 6612, 7602, 492, 1689, 2182, 3778, 4217, 5872, 7094, 7481, 734, 1151, 2464, 3672, 5171, 5293, 6568, 8088, 739, 1835, 2380, 3195, 4364, 5314, 6911, 7299, 774, 1397, 2355, 4058, 4559, 6062, 6447, 7770, 531, 2084, 2355, 3543, 4235, 5828, 6595, 8088, 693, 1732, 2987, 3295, 4255, 6178, 6595, 7274, 857, 1842, 2987, 3348, 4797, 6178, 7130, 7693, 211, 1397, 3099, 3199, 4214, 5273, 6256, 8188, 859, 1485, 2946, 3726, 4716, 5289, 7165, 7584, 757, 1623, 2700, 4089, 5115, 5960, 7165, 8024, 334, 1597, 2560, 3359, 4918, 5385, 6612, 8236, 334, 1289, 3004, 3928, 4578, 5776, 6501, 7402, 568, 2013, 3057, 3570, 5025, 5544, 6234, 7948, 397, 1954, 2562, 3817, 4913, 6191, 6256, 7542, 617, 1510, 2664, 3917, 4881, 5650, 6369, 7474, 552, 1750, 2391, 3470, 5058, 5811, 6996, 7591, 512, 1705, 2833, 3692, 5104, 5378, 7160, 8132, 335, 1982, 2895, 3277, 5088, 5968, 6966, 8083, 504, 1296, 2915, 3261, 4856, 6063, 6498, 7995, 1029, 2118, 3039, 4072, 4470, 5461, 6671, 8149, 1025, 1966, 2944, 4072, 5162, 5610, 6776, 7972, 1025, 1238, 2975, 3206, 4966, 5633, 7129, 7717, 610, 1238, 2980, 3380, 4379, 5641, 7033, 7870, 650, 2053, 3076, 3717, 4942, 5705, 7017, 8188, 104, 1717, 2831, 3932, 5180, 6025, 7222, 8227, 1090, 1350, 2716, 3540, 4991, 5704, 7058, 7873, 804, 1485, 3095, 4027, 4980, 5219, 7111, 8066, 617, 1946, 2801, 4026, 5138, 5752, 6755, 7915, 811, 1789, 2946, 3662, 4732, 5349, 6302, 7819, 403, 1330, 3053, 3564, 4289, 5350, 7047, 7778, 776, 1424, 2163, 3737, 5135, 5549, 6577, 7826, 1052, 1468, 2530, 3487, 5011, 5311, 7024, 7872, 319, 1503, 2871, 3688, 4543, 5973, 6901, 8224, 786, 1503, 3103, 3660, 5163, 5251, 6550, 7981, 428, 1129, 2727, 3524, 4735, 5766, 6346, 7637, 584, 1503, 2744, 3187, 4729, 5780, 6310, 7981, 1041, 2036, 2869, 3252, 4612, 5224, 6868, 8258, 730, 1503, 2307, 3602, 4220, 5557, 6538, 7794, 730, 1609, 2361, 4076, 4612, 5262, 6975, 7487, 662, 1789, 2638, 3403, 4887, 5270, 7031, 8037, 1097, 2063, 2391, 3891, 4530, 6171, 6589, 7764, 984, 1110, 2820, 3918, 4226, 5705, 7023, 7631, 356, 2025, 2899, 3720, 5075, 5259, 7036, 8048, 617, 1695, 2654, 3518, 5150, 6163, 6958, 7936, 935, 1984, 2746, 3994, 4870, 5436, 6668, 8267, 818, 1620, 2806, 4085, 4888, 6139, 7239, 8076, 935, 2017, 3110, 4041, 5159, 6211, 6589, 8196, 935, 2017, 2746, 3893, 4798, 5241, 7006, 8196, 935, 1147, 2746, 4071, 4512, 6195, 6584, 7876, 555, 1468, 3021, 3827, 4888, 6205, 7077, 7717, 859, 1684, 2880, 4166, 4512, 5963, 7201, 7717, 860, 2017, 2806, 3825, 4704, 5892, 7077, 7766, 142, 1622, 2914, 3825, 4704, 6139, 7077, 7766, 488, 1622, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 3065, 3893, 4624, 6186, 6794, 8196, 4, 2 ]

[ 1, 26, 5, 42, 11, 66, 5, 16, 62, 11, 54, 5, 31, 16, 5, 66, 63, 39, 52, 5, 17, 75, 5, 31, 14, 66, 5, 64, 62, 26, 5, 43, 73, 5, 43, 14, 78, 5, 28, 45, 54, 5, 44, 54, 41, 33, 64, 66, 44, 55, 5, 63, 45, 29, 53, 16, 54, 30, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 3825, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1844, 2949, 3893, 4798, 5883, 7124, 7949, 915, 2073, 2949, 3367, 4798, 5883, 6794, 8223, 789, 1490, 2340, 3777, 4993, 5612, 6589, 7716, 331, 1503, 2903, 4064, 5145, 5249, 6966, 7367, 499, 1168, 2785, 3611, 4439, 5624, 6581, 8253, 897, 1426, 3121, 3318, 4735, 5313, 7118, 8131, 323, 2036, 2751, 3483, 4176, 5510, 7238, 8035, 897, 1664, 2751, 3576, 4268, 6142, 6692, 7758, 1062, 1850, 2448, 3190, 4397, 5934, 6538, 8197, 211, 1411, 2885, 3649, 4426, 6151, 7154, 7586, 684, 1978, 3006, 3692, 4763, 5869, 7069, 8076, 390, 1173, 2833, 3681, 4622, 5687, 7090, 7764, 742, 1286, 2128, 3362, 4443, 5432, 6614, 7577, 448, 1397, 2293, 3274, 5169, 5871, 6256, 8183, 249, 1472, 3126, 3282, 4535, 5614, 6965, 7918, 1060, 1402, 2331, 3416, 4543, 5909, 6881, 7910, 458, 2120, 3130, 3182, 4389, 5970, 7212, 7590, 966, 1630, 2751, 3926, 4372, 5769, 7227, 8212, 360, 1957, 2175, 3284, 4716, 5653, 7073, 7788, 428, 1594, 3116, 3482, 4418, 6015, 6386, 7854, 465, 1348, 2678, 3736, 4539, 5447, 7068, 7504, 249, 1633, 2623, 3611, 4364, 6133, 6793, 7704, 113, 1865, 2689, 3295, 4274, 6053, 6801, 8242, 776, 1974, 3066, 3937, 4573, 6041, 6530, 7558, 492, 1507, 2956, 4153, 4739, 5526, 6561, 7673, 840, 1865, 2297, 4007, 4902, 5450, 6400, 7395, 1067, 1865, 2700, 3460, 5029, 5640, 6273, 7413, 512, 1671, 3150, 4067, 4586, 5738, 6852, 7768, 914, 1675, 2586, 3352, 4369, 5210, 6809, 7284, 914, 2000, 2730, 4145, 5058, 6175, 7017, 7421, 484, 2000, 2895, 4018, 4366, 6051, 7207, 7949, 984, 1467, 2996, 3932, 4447, 5635, 7006, 7485, 484, 1467, 2991, 4071, 4888, 6211, 7207, 8195, 120, 2076, 2695, 4005, 4181, 5527, 6732, 8137, 833, 1939, 2970, 4168, 4427, 5944, 6582, 7895, 492, 2035, 2321, 4147, 4194, 5318, 6758, 7916, 897, 1135, 2296, 3474, 4597, 5409, 7196, 8158, 640, 1687, 2173, 3382, 4338, 5930, 6661, 8023, 725, 1812, 3040, 3408, 4609, 5327, 7108, 8090, 249, 1183, 2660, 3694, 4182, 5790, 6429, 8171, 492, 1562, 2345, 3967, 4284, 5327, 7000, 7442, 536, 1983, 3005, 3332, 4941, 5429, 6415, 7984, 1067, 1924, 2661, 3319, 4237, 5947, 6956, 8149, 1025, 1797, 2946, 3873, 4672, 6024, 7026, 7852, 223, 1167, 2669, 4101, 5193, 5410, 6633, 8214, 150, 1302, 2436, 3911, 4429, 5761, 6579, 7383, 1033, 1777, 2678, 3407, 5129, 5976, 7114, 7799, 1056, 1675, 2661, 3233, 4407, 6146, 7158, 7594, 923, 1490, 2868, 4135, 4588, 5962, 6626, 7259, 884, 1507, 2239, 3623, 5079, 5581, 6443, 7256, 725, 1171, 2444, 3543, 5032, 5220, 6592, 7667, 804, 1797, 2326, 3949, 4955, 5963, 7006, 7838, 818, 1943, 3043, 4170, 4925, 5832, 7006, 7782, 186, 2000, 3128, 3891, 4551, 5612, 7084, 8196, 1097, 1620, 2781, 3891, 4822, 6123, 6979, 7631, 859, 2111, 2838, 3827, 4890, 5630, 6589, 7641, 421, 1286, 3079, 3782, 4437, 5385, 7035, 7959, 421, 1596, 2880, 3171, 5024, 5360, 6486, 7321, 568, 2065, 2340, 3771, 4638, 5908, 6780, 8248, 541, 1597, 3150, 4103, 5078, 5908, 6607, 7383, 579, 1604, 2792, 4125, 4522, 5719, 6488, 7477, 833, 1386, 3026, 3355, 4724, 6137, 7181, 7969, 1033, 1509, 3021, 3413, 4597, 5385, 7167, 7726, 1067, 1710, 2492, 3413, 4744, 5968, 6470, 7598, 271, 1586, 2313, 4127, 4636, 5500, 6834, 7658, 249, 1758, 2929, 3509, 5029, 6135, 6461, 8046, 693, 1821, 2623, 3358, 4684, 5657, 6813, 7676, 123, 1794, 2672, 3476, 4329, 5353, 6850, 7534, 888, 1635, 2559, 3741, 4736, 5237, 6771, 7701, 840, 1555, 3147, 3483, 4573, 5720, 6565, 7259, 840, 2055, 2436, 3585, 4706, 5526, 6824, 7616, 1067, 1828, 2842, 3192, 4485, 6002, 6923, 8056, 1067, 1740, 2766, 3992, 4727, 5325, 6974, 7740, 271, 1299, 2173, 3960, 4508, 5966, 7096, 7384, 271, 1440, 2503, 3694, 4429, 5585, 6426, 7426, 643, 1682, 2748, 3991, 4554, 5272, 6477, 7602, 104, 1682, 2716, 3239, 5114, 5824, 7217, 8156, 895, 1617, 2868, 3536, 4364, 6015, 6536, 7470, 876, 1990, 2140, 3536, 5110, 5810, 7000, 7992, 895, 1477, 2227, 3536, 5110, 5810, 6529, 8069, 536, 1871, 2260, 4107, 4457, 5777, 6772, 7829, 373, 1248, 3019, 3498, 4248, 5481, 7080, 7790, 1056, 2125, 2860, 3188, 4972, 6129, 6979, 7386, 308, 1218, 3064, 4041, 4822, 5534, 6979, 8185, 684, 1700, 3144, 4113, 4896, 5981, 6604, 7887, 715, 1791, 2473, 3540, 4423, 5840, 6376, 8126, 459, 1827, 2587, 3562, 4427, 5500, 6945, 7677, 536, 1557, 2831, 4007, 4955, 5658, 6605, 8241, 897, 1301, 2903, 4007, 5011, 5768, 6530, 7604, 536, 1843, 2331, 3697, 4804, 5716, 6533, 7744, 840, 1940, 2371, 3483, 5176, 5716, 6596, 7740, 840, 1526, 2536, 4028, 4181, 5400, 6550, 7722, 840, 1496, 2363, 4080, 5057, 5930, 7115, 7962, 959, 2046, 2986, 3688, 4218, 5360, 6771, 7953, 1099, 1791, 2838, 3891, 5061, 5927, 6891, 7421, 484, 1937, 2629, 4006, 4437, 5438, 7084, 8016, 419, 2073, 3128, 3983, 4918, 5689, 7239, 8236, 256, 1910, 2718, 3951, 4381, 5610, 7065, 7865, 654, 1597, 2287, 3550, 4225, 5436, 6486, 8179, 654, 2002, 2251, 3966, 4727, 5296, 6809, 7707, 654, 1826, 2905, 3550, 5060, 6110, 6604, 7815, 225, 2060, 3133, 3933, 5135, 5962, 6579, 7880, 654, 1490, 2792, 3394, 4638, 5811, 6486, 7846, 228, 1756, 2669, 3391, 5167, 6157, 6677, 8022, 1051, 1752, 2991, 3362, 4419, 5865, 6605, 8179, 488, 1961, 3062, 4113, 5166, 5241, 6889, 7677, 419, 1750, 2914, 3595, 4888, 5892, 6996, 7563, 419, 1750, 2914, 4071, 4704, 5892, 6612, 7563, 419, 2017, 2914, 3825, 5138, 5241, 6996, 7677, 143, 1286, 2659, 3459, 5079, 5493, 7086, 7510, 731, 1982, 2389, 4145, 4588, 5631, 7222, 7773, 400, 2035, 2322, 4043, 4545, 5411, 7212, 7503, 840, 1260, 2578, 3479, 5198, 5623, 7072, 7604, 763, 2009, 2452, 3283, 5035, 5344, 6551, 7962, 472, 1708, 2173, 4047, 4539, 5422, 6792, 7449, 895, 1490, 2680, 3549, 4210, 5558, 6735, 7880, 895, 1740, 2325, 3759, 4443, 5384, 6497, 7576, 895, 1603, 2605, 3498, 4539, 5914, 7234, 7617, 725, 1703, 2748, 4099, 4281, 6116, 6319, 7341, 360, 1826, 2728, 3332, 4508, 6136, 6426, 7758, 319, 1728, 2173, 3329, 4356, 5854, 6923, 7678, 1041, 1499, 3130, 3422, 4321, 5470, 7153, 7726, 1084, 2036, 2140, 3520, 5100, 5273, 6912, 8112, 113, 1490, 2715, 3214, 5031, 5921, 6672, 7378, 1041, 1821, 2678, 3459, 4364, 5473, 7143, 7825, 774, 1826, 2348, 3583, 4669, 6118, 6478, 8193, 1041, 1171, 3116, 3895, 4179, 5684, 6474, 8150, 494, 1494, 2946, 3880, 5121, 5745, 6567, 8182, 655, 1494, 2585, 3900, 4316, 5320, 6426, 7633, 1041, 1732, 2605, 3765, 4626, 6028, 6814, 7977, 494, 1732, 2751, 3856, 4743, 6180, 6856, 7728, 840, 1597, 2751, 3331, 4810, 5480, 6290, 7908, 840, 1561, 2751, 3597, 4274, 5828, 6711, 7577, 881, 1882, 3120, 3329, 4256, 5875, 6234, 8027, 884, 1732, 2534, 3329, 4588, 5363, 6231, 7778, 884, 1499, 2731, 3334, 4539, 6002, 6870, 7883, 750, 1657, 2936, 3258, 4435, 5706, 6376, 8081, 308, 1869, 3149, 3602, 4586, 5276, 6901, 7524, 859, 1963, 2833, 3909, 4589, 6175, 6874, 8083, 935, 2000, 2833, 3380, 5060, 6025, 6852, 8237, 186, 2000, 2833, 3367, 4888, 6195, 7120, 8260, 859, 1620, 2925, 3188, 4822, 6129, 7077, 8260, 859, 1648, 3110, 4174, 4512, 5385, 7168, 7570, 617, 1345, 2775, 3596, 4549, 5436, 7152, 7563, 617, 2013, 2941, 4071, 4344, 5246, 7090, 7732, 617, 2013, 2566, 3577, 4863, 5730, 6717, 7535, 617, 2013, 2941, 3917, 4870, 6110, 6772, 7563, 617, 2013, 2941, 3857, 5193, 5580, 6291, 7753, 105, 2106, 2941, 3832, 4839, 5550, 7024, 8076, 105, 2106, 2775, 3917, 4673, 5548, 7010, 7767, 859, 2002, 2970, 3518, 4437, 5296, 6810, 7303, 555, 1147, 2970, 3891, 4870, 5811, 7077, 8237, 555, 2111, 3021, 3596, 4859, 5981, 6972, 8076, 488, 2065, 2806, 3893, 4398, 5677, 7207, 8093, 488, 2017, 2806, 3893, 4624, 5892, 6996, 7766, 488, 2017, 3117, 3893, 4366, 6139, 7077, 8237, 171, 2073, 2340, 3983, 5139, 5694, 7120, 7476, 833, 1157, 2936, 3975, 4582, 5749, 6551, 7627, 685, 1233, 2940, 3268, 4179, 6001, 6540, 8236, 318, 1643, 2174, 3268, 4282, 5500, 6898, 8251, 784, 1318, 2464, 3878, 5103, 5522, 7219, 7966, 150, 1305, 3107, 4035, 4501, 5413, 6467, 8178, 1025, 1499, 2423, 4046, 5100, 6031, 7017, 8062, 750, 1327, 2667, 3706, 4993, 5231, 7200, 8253, 815, 1463, 3033, 4033, 4834, 5443, 7216, 8089, 913, 1455, 2436, 4022, 4927, 5918, 7095, 7800, 844, 2111, 2678, 3676, 4532, 5314, 6474, 8165, 1084, 2111, 2166, 3505, 4949, 6210, 6411, 8177, 776, 1821, 2586, 3740, 4622, 5978, 7006, 7290, 938, 1349, 2396, 3261, 5084, 5297, 6622, 7720, 844, 2024, 2871, 4103, 5115, 6024, 6426, 7677, 317, 1139, 2480, 3245, 4321, 5346, 6467, 7985, 518, 1171, 3133, 4007, 4601, 5797, 7085, 8040, 317, 1424, 2627, 3577, 4604, 5333, 6347, 7965, 510, 2097, 2326, 4018, 4374, 5883, 7239, 7397, 804, 1218, 2947, 4097, 5159, 5219, 6709, 7716, 390, 1791, 2991, 4011, 4890, 5705, 7077, 7421, 390, 1998, 2895, 3540, 4980, 5534, 7201, 7806, 1031, 1306, 2720, 3304, 4598, 5204, 6505, 8069, 535, 1732, 2156, 3340, 4321, 5652, 6343, 7536, 535, 1570, 2688, 3513, 4321, 5982, 7070, 8268, 1040, 1732, 2751, 3762, 4887, 5849, 6234, 7793, 1003, 1388, 2455, 3565, 4526, 6050, 6458, 7937, 1025, 1399, 2856, 4137, 4881, 5614, 6566, 7588, 826, 2045, 3097, 3842, 4364, 5569, 6890, 7973, 826, 1938, 3029, 3162, 4338, 5530, 6929, 7811, 465, 1397, 3097, 3456, 4531, 5788, 6751, 7869, 807, 1635, 3097, 3792, 5155, 5339, 7126, 7604, 807, 2107, 2856, 3749, 4539, 5361, 6768, 7930, 582, 2009, 2665, 3216, 4338, 5978, 6226, 7704, 778, 1820, 2751, 3429, 4382, 6119, 6426, 7510, 887, 1919, 3098, 4096, 4982, 5641, 6550, 8185, 1025, 1369, 3080, 3717, 4527, 5983, 6611, 7557, 610, 1238, 2715, 3955, 4387, 6103, 6579, 7485, 779, 1847, 2828, 3271, 4940, 5705, 7230, 8093, 967, 2041, 2340, 3886, 4762, 5767, 7193, 7557, 256, 1620, 3038, 3391, 4918, 5493, 7084, 7313, 568, 1791, 3000, 3578, 4985, 5976, 6492, 8195, 256, 1635, 2473, 3917, 4775, 6146, 7132, 7976, 901, 2060, 2980, 3394, 5129, 6110, 6740, 8118, 579, 1525, 2792, 3563, 4927, 5935, 6753, 7768, 552, 2097, 3098, 4006, 5120, 5385, 6613, 7949, 611, 2097, 2424, 3635, 4454, 5843, 6735, 7473, 492, 1154, 3140, 3369, 4561, 5539, 6581, 8058, 840, 2120, 2926, 4137, 5110, 5291, 6526, 8124, 840, 1679, 2751, 3324, 4571, 5368, 6898, 7741, 1033, 2086, 2346, 3720, 4413, 6087, 7208, 7389, 756, 2098, 2947, 3167, 5083, 6156, 6234, 8064, 699, 1826, 2792, 3776, 5112, 5527, 6576, 8193, 699, 1736, 2740, 3227, 4859, 5992, 7162, 8044, 518, 1749, 2750, 3376, 4549, 5565, 6668, 7959, 240, 1961, 2554, 3891, 5128, 5413, 6988, 8118, 240, 1705, 3064, 4018, 5179, 5550, 6515, 7303, 789, 2000, 2683, 3550, 4630, 5963, 6740, 8236, 419, 1851, 2806, 3595, 4387, 6110, 6988, 7563, 789, 2000, 3133, 3914, 4980, 5550, 7132, 7949, 518, 2097, 3133, 4166, 4888, 5223, 6607, 7865, 448, 1919, 3075, 3795, 5072, 5991, 6615, 8114, 149, 1951, 2455, 3963, 4829, 5733, 6532, 7615, 862, 1372, 2292, 4128, 4912, 6052, 6734, 8118, 884, 1706, 2515, 4144, 4733, 5706, 6478, 7528, 223, 1834, 2661, 3472, 4364, 5637, 6421, 7962, 650, 1771, 2440, 3593, 5085, 5712, 6775, 7976, 752, 1948, 2701, 3892, 4597, 5684, 6886, 7776, 1029, 1773, 2492, 3995, 4536, 6167, 6350, 7557, 1033, 1831, 2803, 3582, 4536, 5381, 6470, 7940, 299, 1227, 2655, 3992, 4792, 5890, 6900, 7962, 299, 1227, 2655, 3992, 4870, 5260, 7220, 7962, 104, 1858, 2320, 3540, 4912, 5730, 6436, 7547, 1090, 1146, 2946, 3557, 5145, 6032, 6566, 8126, 1057, 1399, 2798, 3440, 4470, 5802, 6522, 7260, 465, 1463, 3092, 3456, 5109, 5646, 6605, 8153, 786, 1797, 2378, 3991, 5011, 5728, 6603, 7480, 1080, 1732, 2506, 3741, 4620, 5589, 7154, 8190, 952, 1422, 2547, 3605, 4651, 6145, 6348, 8092, 859, 1791, 2947, 3513, 5150, 5892, 6947, 8040, 419, 1467, 3006, 3391, 5139, 5216, 7090, 7715, 256, 1912, 2703, 4125, 4555, 5811, 6709, 7919, 225, 1248, 2181, 3785, 4503, 5765, 7127, 8006, 225, 1248, 2454, 3550, 4918, 5590, 6909, 7485, 334, 1865, 2717, 3904, 4423, 5331, 6430, 7826, 585, 2127, 2340, 3555, 4622, 6149, 6486, 7952, 153, 1620, 2424, 3358, 4834, 6149, 6765, 7664, 510, 2073, 2960, 3918, 5088, 5963, 7230, 7256, 211, 1794, 3112, 3914, 4387, 6001, 7098, 7574, 650, 1721, 3128, 3982, 4366, 5873, 6734, 8209, 150, 1878, 3075, 3732, 5073, 5892, 6642, 7570, 465, 1978, 2440, 3304, 4224, 6028, 6421, 8052, 692, 1210, 2142, 3700, 4562, 6089, 7068, 8117, 930, 1967, 2688, 4091, 5193, 6002, 6674, 7385, 1062, 2091, 2170, 3264, 4460, 6084, 6402, 7271, 610, 1403, 2923, 3660, 4604, 5491, 6668, 7658, 1090, 1118, 2429, 3282, 4266, 5737, 7086, 8244, 970, 1881, 2440, 3369, 5100, 5415, 6391, 7629, 970, 1141, 2436, 3380, 4991, 5221, 6918, 7687, 970, 2107, 3020, 3771, 4883, 5396, 6776, 7686, 778, 1797, 2387, 3454, 4428, 6002, 7168, 7528, 104, 1141, 2462, 3161, 4845, 5591, 6734, 8092, 610, 2091, 3020, 3430, 5015, 6181, 6663, 7736, 1090, 1992, 2440, 3617, 5088, 5765, 6949, 8245, 390, 1363, 2480, 3649, 4635, 6211, 7207, 7726, 288, 1238, 2214, 3671, 4792, 5981, 6871, 8266, 880, 1496, 2398, 3232, 4918, 5898, 6921, 8030, 709, 2065, 2724, 3776, 4777, 5687, 6515, 8227, 684, 2111, 2947, 3891, 4582, 5968, 6677, 8164, 1097, 1332, 2970, 4108, 4622, 5883, 7129, 7753, 818, 2046, 2957, 3891, 4704, 6051, 7058, 8083, 488, 1218, 3128, 4108, 5104, 6139, 6786, 8147, 818, 2046, 2957, 4018, 4798, 5241, 6794, 7766, 555, 1705, 3043, 4018, 5159, 5635, 6752, 8076, 859, 1750, 2970, 4006, 5038, 5635, 6584, 8066, 859, 2002, 2970, 3374, 4918, 5635, 6584, 7948, 105, 2106, 2970, 4068, 4870, 5219, 7006, 8076, 105, 2106, 2833, 4068, 4387, 5385, 7069, 7476, 105, 2106, 2833, 4068, 4888, 5580, 7069, 7476, 105, 2065, 3147, 3827, 4870, 5901, 7077, 7732, 859, 2127, 2554, 3891, 5166, 5385, 6677, 8223, 555, 2002, 2970, 3873, 4387, 5901, 7152, 7706, 859, 2127, 2959, 3407, 4983, 5901, 6688, 8076, 555, 1695, 3144, 3407, 5060, 6160, 7090, 7717, 859, 1684, 2970, 3391, 5159, 5385, 6740, 8223, 859, 2127, 2858, 3914, 5166, 5901, 6740, 8036, 555, 1648, 2970, 3827, 4622, 5635, 6584, 8261, 105, 1345, 3064, 3825, 5160, 5767, 6740, 7715, 4, 2 ]

[ 1, 28, 17, 66, 5, 28, 48, 44, 55, 5, 20, 52, 76, 40, 78, 5, 76, 33, 66, 5, 76, 45, 31, 5, 31, 16, 5, 64, 48, 5, 5, 5, 76, 48, 5, 64, 17, 41, 35, 30, 5, 53, 17, 29, 5, 41, 63, 17, 53, 5, 31, 16, 5, 51, 57, 52, 30, 5, 5, 3, 142, 2017, 2914, 3891, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 3065, 3367, 4624, 5635, 7077, 7766, 1091, 1320, 2352, 3891, 4423, 5824, 7160, 8126, 856, 1723, 3144, 3751, 4344, 6008, 7021, 7828, 294, 1865, 2859, 3751, 4211, 6028, 6838, 7270, 737, 1510, 2766, 3384, 4913, 6117, 7056, 8048, 304, 1797, 2729, 4096, 5098, 6137, 7047, 7720, 804, 1797, 3006, 3771, 4813, 5536, 7157, 7720, 427, 1747, 2960, 4115, 5088, 5661, 6849, 7887, 1099, 2000, 3135, 3916, 4867, 5565, 6809, 8260, 804, 2125, 2781, 3361, 5080, 5534, 7220, 7720, 833, 1791, 3064, 4152, 4822, 6205, 6979, 7421, 288, 1797, 2326, 3983, 5080, 6014, 6515, 8185, 1057, 1817, 2874, 4168, 4955, 5464, 6590, 7962, 271, 1570, 2348, 3392, 4834, 5918, 6571, 7957, 559, 2033, 2921, 4102, 4665, 5578, 6442, 7535, 896, 1133, 3029, 4130, 4878, 5447, 6754, 7756, 1004, 1706, 3126, 4072, 4607, 6135, 7044, 7973, 399, 1708, 2373, 3476, 4832, 5434, 6613, 8106, 545, 1708, 2373, 4007, 4993, 6217, 6398, 8067, 936, 1706, 2658, 3476, 4978, 6010, 6436, 8129, 936, 1706, 2482, 3201, 5169, 5454, 7103, 7914, 936, 1942, 2658, 3551, 4507, 5603, 7143, 7629, 1025, 1468, 2389, 3513, 4364, 5586, 7220, 7401, 424, 1397, 2514, 3217, 4785, 6154, 6914, 7454, 104, 1550, 2797, 3570, 4208, 5749, 6816, 7737, 271, 2079, 2282, 3351, 4278, 5767, 6828, 8086, 1025, 1531, 3032, 4026, 4450, 5803, 6569, 8156, 993, 1531, 2793, 3873, 4842, 5998, 7127, 8149, 725, 1740, 2766, 3950, 5014, 5764, 6378, 7402, 465, 1897, 2175, 4053, 4659, 5801, 6603, 8031, 545, 1922, 3083, 3630, 4886, 5421, 6798, 8022, 1017, 1543, 2712, 3858, 5108, 5476, 6469, 7704, 784, 1800, 2712, 3478, 4742, 5707, 6529, 8244, 1009, 1180, 2152, 3262, 4349, 5722, 6743, 8164, 1009, 1469, 2911, 3790, 4915, 5720, 6358, 8134, 1009, 1438, 3103, 3567, 4399, 6066, 7071, 7381, 864, 1166, 3052, 3155, 4391, 5506, 6765, 7691, 332, 1440, 2612, 4034, 4759, 6029, 6974, 7747, 975, 1170, 3052, 3235, 5011, 5583, 6743, 7381, 498, 1334, 2585, 3865, 4234, 5362, 6500, 7502, 547, 1469, 2785, 3940, 5109, 6190, 6957, 7878, 504, 1912, 2275, 3777, 5081, 5770, 6605, 7515, 547, 1440, 2785, 4130, 4678, 5567, 6666, 8153, 504, 1469, 2940, 3276, 4273, 5567, 6458, 7896, 1024, 2081, 3040, 3967, 5091, 6104, 7039, 7895, 1024, 1543, 2721, 3763, 5138, 5832, 6373, 8085, 678, 2102, 2344, 3975, 4927, 6138, 6566, 8222, 643, 1318, 2713, 4078, 4743, 5588, 6376, 7852, 970, 1897, 2534, 3747, 4588, 5413, 7131, 7711, 504, 1173, 2679, 4146, 5108, 5279, 6824, 7312, 1024, 1499, 2325, 3442, 4513, 5796, 6812, 7895, 386, 1548, 2985, 3218, 5092, 5587, 6891, 7710, 784, 1178, 2137, 4082, 4794, 5479, 6611, 7933, 1009, 1655, 2316, 3283, 4595, 5495, 7072, 7519, 728, 1826, 3104, 3551, 4180, 5671, 6302, 7618, 314, 1283, 3141, 3342, 4278, 5589, 7106, 7586, 807, 1164, 2346, 3342, 5042, 5257, 6856, 7582, 540, 1550, 2566, 3563, 4459, 5695, 6731, 7824, 363, 1550, 3074, 3957, 4989, 6215, 7224, 8149, 266, 1550, 2867, 3276, 4521, 6101, 7114, 8044, 386, 2033, 2867, 3792, 4755, 5564, 6768, 7962, 487, 1562, 2836, 3245, 4993, 5757, 6376, 7625, 952, 1554, 2656, 3394, 5009, 6130, 7163, 7959, 576, 1296, 2332, 3669, 4292, 5672, 6550, 8243, 654, 1455, 2751, 4078, 4907, 5353, 6790, 8188, 228, 1945, 2659, 3753, 4398, 5672, 7100, 7476, 225, 1547, 3068, 3575, 4289, 5419, 6746, 7908, 757, 1529, 3068, 3904, 5127, 5694, 6634, 7750, 153, 2042, 2975, 3391, 5157, 5723, 6792, 7386, 473, 1116, 2397, 3183, 5115, 5692, 6539, 7386, 211, 2088, 2860, 3307, 4423, 5359, 6605, 8085, 390, 1777, 3128, 4011, 5061, 5840, 7018, 7948, 955, 2035, 2716, 3610, 4181, 5802, 6871, 7898, 1090, 1660, 2866, 3512, 4890, 6205, 7239, 7741, 424, 1499, 2493, 3188, 4282, 6085, 7218, 7876, 1033, 1376, 2254, 3229, 4867, 5572, 6809, 7842, 614, 1681, 2807, 3763, 5115, 5966, 7004, 7908, 1029, 1516, 2920, 3411, 5111, 5914, 6528, 7929, 363, 1542, 2132, 3713, 5018, 5512, 7057, 7689, 943, 1828, 2881, 4095, 4288, 6060, 7072, 7267, 1060, 1206, 2225, 3765, 4280, 6032, 7169, 7441, 1103, 1951, 2591, 3765, 4455, 5985, 6805, 7404, 221, 1594, 3116, 3403, 4684, 6083, 6883, 7759, 807, 1921, 2486, 3446, 4539, 5856, 6225, 7992, 996, 1494, 3116, 3455, 4444, 5504, 6677, 7962, 103, 1150, 2239, 3206, 4869, 5234, 6829, 7827, 1097, 1620, 2730, 3827, 4387, 5968, 7160, 7687, 935, 1623, 2989, 3750, 4896, 6211, 7047, 7846, 935, 1147, 2944, 4150, 4630, 5776, 6771, 7723, 105, 1856, 2970, 3827, 5160, 5892, 7232, 7481, 256, 2034, 2996, 3420, 4305, 5760, 7168, 7720, 617, 1695, 2356, 3595, 4287, 6175, 6566, 7252, 859, 1564, 2554, 3761, 5088, 5908, 6291, 7397, 818, 1684, 3095, 3803, 4387, 5730, 7077, 7485, 488, 2017, 2746, 4071, 5104, 6129, 7201, 7948, 488, 1528, 2746, 3645, 5166, 6103, 7006, 8223, 488, 1528, 2914, 3825, 4624, 6139, 7132, 7485, 488, 1528, 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, 6186, 6794, 8223, 488, 1528, 2164, 3893, 4798, 6081, 6752, 8223, 555, 1147, 2164, 3391, 4387, 5981, 6584, 7723, 859, 1695, 2340, 3838, 5060, 5493, 6996, 8147, 105, 2106, 2490, 4153, 4179, 5892, 6688, 7476, 859, 1750, 2833, 4006, 4512, 5436, 7077, 7865, 859, 1750, 2833, 3596, 5083, 5873, 7160, 8126, 859, 1750, 2833, 3827, 5190, 6117, 7120, 7723, 915, 1147, 2340, 3803, 4622, 5635, 6584, 7865, 555, 2065, 3021, 3803, 4583, 5635, 7077, 7766, 818, 2065, 2806, 3803, 4780, 5892, 6996, 7723, 186, 2017, 2164, 4171, 4624, 5219, 7077, 8196, 488, 2017, 2914, 3893, 5060, 6139, 7226, 8237, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6139, 6786, 7949, 408, 1407, 2873, 3975, 4856, 6123, 7052, 7753, 1045, 1318, 2938, 4005, 4844, 6132, 6304, 8252, 399, 1426, 3037, 3937, 4350, 5382, 6887, 7875, 189, 1951, 2358, 4101, 5040, 5490, 7024, 8086, 920, 1637, 2271, 3936, 4513, 5223, 6799, 8033, 684, 1700, 2397, 3996, 4513, 5223, 6254, 8023, 901, 1324, 2818, 3697, 4412, 6073, 6958, 7912, 518, 1796, 3135, 4124, 4724, 5689, 7230, 7612, 440, 1388, 3133, 4166, 4863, 5883, 6809, 7477, 613, 2097, 3043, 3817, 4399, 5363, 6630, 7405, 271, 1496, 2596, 3399, 5065, 5594, 6515, 7927, 249, 1496, 2271, 3418, 4978, 5400, 6403, 7800, 326, 1915, 2724, 3511, 5130, 5578, 6581, 7648, 576, 1966, 2486, 3746, 4509, 5689, 6328, 7475, 654, 1758, 2596, 3472, 4881, 5223, 6688, 8130, 654, 1597, 3095, 3376, 4863, 5923, 6840, 7919, 127, 1606, 2880, 3798, 5031, 5296, 7024, 7687, 518, 1851, 2562, 3631, 4638, 6007, 6889, 7865, 654, 2106, 2181, 3674, 4387, 5908, 6627, 7716, 518, 2127, 3064, 3796, 4785, 5550, 6515, 7555, 654, 2106, 2473, 4125, 5159, 5901, 7069, 8107, 654, 2030, 2554, 3928, 5138, 5550, 6810, 7602, 518, 1851, 2562, 3376, 4193, 5514, 7129, 8130, 518, 1645, 2554, 3827, 4700, 6110, 7003, 7949, 228, 2111, 2904, 3376, 4225, 5650, 6338, 7715, 240, 2061, 2904, 4006, 5160, 5590, 6752, 7664, 453, 2061, 2970, 3535, 4580, 5550, 6613, 8070, 613, 1755, 2761, 3692, 4179, 5802, 7188, 7476, 611, 1695, 2422, 3304, 4545, 5200, 6525, 7711, 737, 1782, 2527, 3697, 4214, 5831, 6951, 7496, 1101, 1928, 2288, 3217, 4321, 5223, 7000, 7759, 807, 1708, 2579, 4125, 4539, 5523, 7086, 7588, 807, 2033, 2175, 3888, 4736, 5810, 7157, 8017, 487, 2033, 2175, 3456, 4604, 5893, 6529, 8031, 487, 2008, 2419, 4021, 4371, 5224, 6255, 7790, 545, 1708, 2261, 3218, 4400, 5875, 7215, 8092, 545, 1942, 2309, 3191, 4670, 5944, 7229, 7516, 1025, 1918, 2601, 3391, 5095, 6062, 6965, 8069, 487, 1915, 2490, 3472, 4294, 5809, 6813, 7344, 487, 1581, 2309, 3551, 4720, 6135, 6397, 8210, 807, 1540, 2309, 3740, 5085, 5445, 6443, 7939, 545, 1494, 3116, 3551, 4329, 5389, 6453, 8128, 582, 1915, 2346, 4149, 4995, 5481, 6933, 8048, 986, 1499, 2751, 3770, 4717, 5445, 6409, 8137, 691, 2053, 3039, 3551, 4775, 5276, 7148, 7906, 952, 1550, 2632, 4147, 4437, 5376, 6732, 7483, 986, 1233, 2346, 3785, 4745, 5202, 6663, 7713, 545, 1468, 2940, 3229, 4664, 5810, 6442, 7687, 996, 1550, 2688, 3488, 5040, 5574, 6870, 7883, 691, 1669, 2490, 3560, 4804, 6086, 7049, 8137, 487, 1140, 2258, 3358, 4914, 5480, 7229, 7843, 996, 1164, 2361, 3802, 5040, 5443, 6603, 8146, 1038, 1112, 2561, 3592, 4995, 5393, 6883, 8181, 103, 1992, 2692, 3660, 4183, 5390, 6632, 7840, 684, 1523, 2138, 3751, 4775, 5960, 7222, 8036, 859, 1992, 2944, 3671, 5058, 6175, 7188, 7385, 935, 1963, 3021, 4114, 4191, 6063, 6584, 7631, 488, 2017, 3117, 3803, 4782, 6182, 6752, 8185, 818, 1528, 3021, 4011, 4287, 6139, 6972, 8196, 818, 1528, 3006, 3825, 5038, 6195, 7201, 7876, 818, 1622, 3095, 3982, 4980, 5832, 7226, 7806, 818, 1528, 3110, 3893, 5058, 5832, 7239, 8196, 818, 1648, 2914, 3827, 4624, 6129, 6794, 7641, 555, 2017, 3021, 3825, 4630, 5635, 7201, 8185, 915, 1147, 2806, 3914, 4704, 6081, 7124, 8260, 915, 2017, 2914, 3914, 4798, 6129, 6752, 7723, 915, 2017, 3021, 3893, 4512, 5635, 6996, 8223, 488, 1528, 2914, 3893, 4704, 6139, 6752, 8196, 915, 1648, 2833, 3914, 4512, 5981, 6515, 8223, 915, 1528, 3021, 3391, 4870, 5635, 6589, 7485, 915, 2017, 3021, 3391, 4890, 6186, 6515, 7723, 915, 1684, 2164, 3891, 4704, 5534, 7077, 8076, 915, 2017, 2833, 3391, 4798, 6186, 7120, 8126, 488, 1528, 2164, 3893, 4624, 6186, 6752, 8196, 488, 1528, 2833, 3893, 4624, 6186, 7124, 8147, 488, 1528, 2164, 3827, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 6752, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3891, 4624, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 142, 1622, 2914, 3367, 4798, 6186, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 915, 1467, 3065, 4113, 5058, 5635, 6786, 8267, 685, 1579, 2533, 3908, 5044, 5880, 6313, 8123, 318, 1423, 2143, 3957, 4339, 5500, 6773, 8037, 459, 1999, 2672, 3960, 5047, 5523, 6791, 7765, 893, 1762, 2788, 3957, 4651, 5737, 6894, 7883, 868, 1834, 2429, 3159, 4321, 5935, 6986, 8101, 317, 1692, 2387, 3792, 4489, 5325, 6307, 7686, 568, 1206, 2520, 3217, 5150, 5629, 6858, 7767, 334, 1935, 2976, 3771, 4737, 6101, 6623, 7263, 654, 1958, 2341, 3362, 4387, 5687, 7158, 7981, 654, 2106, 2359, 3352, 5159, 6137, 6607, 7563, 654, 1564, 2359, 3648, 5075, 5778, 6579, 7948, 127, 1313, 2833, 3566, 4267, 5241, 6724, 8164, 654, 1684, 2904, 3857, 5079, 6215, 7069, 8130, 518, 1756, 2833, 3188, 5079, 6065, 7024, 7806, 256, 2061, 2839, 4150, 5167, 5935, 7019, 8076, 833, 1561, 2554, 3795, 5143, 5852, 7042, 7698, 685, 1490, 2863, 3581, 4525, 5413, 6507, 7508, 249, 1490, 2871, 3794, 5111, 5509, 6595, 7873, 900, 1509, 3137, 3197, 4705, 5984, 7156, 7635, 333, 2102, 2848, 3804, 4372, 5397, 6683, 8253, 333, 1302, 2540, 3957, 4510, 5878, 6411, 7467, 955, 1743, 2790, 4145, 4343, 5642, 6486, 7592, 440, 2045, 2468, 3878, 4665, 6075, 6584, 7985, 901, 1403, 2729, 4111, 5129, 5950, 6938, 8080, 440, 2106, 2944, 4089, 4833, 6070, 7182, 7912, 901, 1459, 3038, 3623, 4304, 6056, 6588, 7549, 857, 1388, 3128, 4168, 5088, 6148, 7000, 8070, 1033, 1865, 3052, 3970, 5180, 6120, 6962, 7626, 1067, 1555, 2352, 3767, 4626, 5491, 7120, 8256, 895, 1758, 2540, 3957, 4720, 6208, 6673, 7737, 504, 1758, 3026, 3271, 4872, 6062, 6929, 8253, 725, 1758, 2559, 3484, 5095, 6028, 7162, 7852, 1057, 1732, 2704, 3669, 4615, 5960, 6657, 8068, 103, 1881, 3032, 4153, 4382, 6220, 7217, 7908, 512, 1675, 3098, 3889, 4633, 6108, 6979, 8076, 308, 1620, 3043, 3891, 4444, 5832, 6515, 8267, 288, 1467, 2838, 3918, 4822, 6129, 7084, 7664, 304, 1886, 3006, 3870, 5104, 5825, 6980, 7948, 610, 1577, 2944, 3671, 5104, 5661, 6752, 7557, 104, 2125, 2298, 3540, 4747, 5883, 6736, 7723, 663, 1809, 2737, 3201, 4592, 6085, 7207, 8130, 424, 1878, 3149, 3870, 4536, 6131, 6774, 8083, 663, 1350, 3109, 3776, 4179, 5613, 6780, 7485, 424, 1248, 2926, 3776, 5020, 5573, 7098, 7881, 663, 1809, 2989, 4145, 4319, 5276, 6566, 7753, 831, 1467, 3135, 4145, 4343, 5360, 7162, 7791, 160, 1915, 2975, 4145, 4782, 6081, 6589, 7677, 160, 1791, 2693, 4150, 5096, 5981, 7119, 7753, 160, 2009, 2282, 3231, 4774, 5332, 6698, 8260, 271, 1553, 2163, 4073, 5096, 5844, 6403, 7918, 271, 1674, 2144, 3869, 4983, 5325, 6579, 7341, 737, 2050, 2736, 3890, 4350, 5717, 7222, 7937, 360, 1183, 2141, 3580, 4477, 5775, 6743, 8156, 208, 1988, 3034, 3967, 4639, 5435, 6426, 7756, 569, 1855, 2912, 3967, 4634, 5835, 6904, 8044, 981, 1607, 2868, 4039, 4855, 5535, 6463, 7823, 1094, 1171, 2999, 3771, 4431, 5918, 6425, 7669, 356, 2125, 2944, 3922, 4214, 5687, 6898, 7883, 1079, 1937, 2949, 4168, 4757, 5462, 7006, 7965, 935, 1867, 3043, 4151, 5080, 5345, 6674, 8260, 935, 1833, 3135, 3803, 4888, 6087, 7201, 8147, 555, 1528, 2858, 4011, 4888, 5534, 6604, 8185, 183, 2098, 2181, 3231, 4555, 5719, 6889, 8060, 225, 1264, 2858, 4026, 5091, 5548, 6607, 7887, 334, 1935, 2560, 3555, 4638, 5678, 7047, 8260, 334, 1286, 2693, 4147, 4863, 5590, 7047, 8188, 334, 1258, 2944, 3270, 4412, 5438, 6431, 7740, 568, 1633, 2454, 3374, 4486, 5706, 6486, 7934, 568, 1958, 2904, 3410, 4863, 5296, 6563, 7900, 757, 1269, 2875, 4141, 4985, 5455, 6474, 7906, 617, 2111, 2181, 3515, 4888, 5981, 6705, 7717, 617, 2060, 2992, 3788, 4287, 5963, 7201, 7574, 789, 2065, 3065, 4145, 4737, 5908, 7218, 8236, 789, 2106, 2941, 3407, 4888, 5219, 6607, 7557, 789, 2106, 3144, 3407, 4694, 6195, 6752, 8080, 789, 1937, 2833, 3407, 4888, 5296, 7090, 8076, 475, 1304, 2941, 3407, 4762, 5890, 6809, 7826, 475, 1851, 2349, 3770, 5166, 5223, 7120, 7716, 715, 1833, 2349, 3980, 4186, 5678, 7129, 7641, 166, 1517, 2338, 3675, 4467, 5650, 6267, 8251, 492, 1341, 2218, 3655, 5178, 5555, 7086, 7817, 472, 1372, 2905, 3321, 4242, 6008, 6335, 7545, 835, 1919, 2661, 3921, 4394, 6217, 6754, 8078, 113, 1244, 2326, 3578, 5114, 5569, 6418, 7836, 211, 1360, 3075, 3446, 4448, 5678, 6771, 7983, 1090, 1978, 2783, 3793, 4435, 6110, 7010, 8107, 160, 1881, 2994, 3233, 4509, 5678, 6349, 8073, 1071, 2036, 2429, 3352, 4912, 5534, 6810, 7386, 1033, 1808, 3137, 3862, 5188, 5276, 6724, 7248, 104, 1809, 3003, 3717, 4883, 6166, 6254, 7799, 993, 1773, 2455, 3154, 4780, 5478, 6465, 8069, 826, 1681, 3075, 3169, 4343, 6089, 7114, 8126, 1029, 1583, 2791, 3977, 4546, 5618, 6267, 7777, 492, 1740, 2689, 3552, 4800, 5519, 7116, 8050, 876, 1828, 3005, 3788, 4364, 5465, 6963, 7496, 684, 1238, 2132, 3994, 4757, 5605, 6680, 7405, 818, 2000, 2754, 3982, 5159, 6103, 7198, 7256, 186, 2073, 2947, 3206, 5104, 5635, 7239, 8260, 186, 1804, 3135, 3932, 5038, 6195, 6979, 7716, 510, 1998, 2781, 3188, 4980, 5534, 6709, 7631, 100, 1396, 2349, 3507, 5149, 5479, 6765, 7858, 707, 1894, 3046, 3839, 5011, 5830, 6378, 7735, 878, 1177, 3095, 3446, 4983, 6166, 6983, 7913, 715, 1529, 3112, 3470, 4659, 5802, 6674, 7699, 271, 1499, 2356, 3369, 4570, 5600, 6347, 7895, 314, 1213, 2506, 3392, 4417, 5810, 6592, 8001, 249, 1290, 2506, 3573, 4468, 5447, 6324, 7661, 83, 2008, 2203, 3567, 4288, 5570, 6663, 7868, 993, 2019, 2348, 3780, 5124, 6086, 6732, 7869, 1016, 2048, 2203, 3721, 4570, 5223, 6350, 7527, 1011, 1251, 2797, 3685, 5084, 5671, 7169, 7481, 1025, 1992, 2396, 4031, 4856, 5541, 6881, 8047, 970, 1489, 2981, 3567, 4428, 5250, 6646, 8088, 955, 1849, 2493, 3755, 4861, 5702, 6622, 7831, 951, 1238, 2326, 3990, 4828, 5590, 7044, 7537, 970, 1897, 2839, 3231, 4389, 5705, 6393, 8120, 1011, 1791, 3090, 3509, 4468, 5350, 6927, 7462, 678, 1992, 2170, 3742, 4387, 6117, 6632, 7422, 1024, 1633, 2985, 4146, 4825, 6103, 6953, 8121, 110, 1992, 2636, 3709, 4901, 5893, 6563, 8143, 951, 1681, 2556, 3508, 4759, 6182, 7184, 8256, 951, 1248, 3061, 4074, 4555, 5245, 6769, 7948, 110, 1768, 2196, 3908, 4415, 5362, 7035, 8044, 1081, 1747, 2944, 3906, 4408, 5872, 7188, 7721, 678, 1248, 2690, 4105, 4484, 5934, 6588, 7660, 678, 2064, 2972, 3986, 4531, 5935, 6426, 7725, 940, 1146, 2361, 4028, 4555, 5296, 6650, 7836, 970, 1897, 2771, 3681, 4555, 5220, 6953, 7996, 390, 2067, 2970, 3909, 4996, 5968, 6978, 8120, 833, 1906, 2389, 3595, 5011, 6198, 7042, 7806, 715, 1633, 2167, 3309, 5020, 5219, 7012, 7919, 709, 2091, 2163, 3231, 5135, 5613, 6713, 8128, 1056, 1716, 2163, 3518, 4437, 5840, 7096, 7717, 572, 1881, 2871, 3487, 4881, 6204, 6898, 7494, 1024, 1139, 2593, 3448, 4556, 6002, 6382, 7689, 175, 2008, 2365, 3484, 4364, 5443, 6632, 7951, 981, 1557, 2355, 4154, 4636, 5610, 6402, 8253, 308, 2111, 2754, 3751, 4191, 5675, 7010, 8254, 956, 1847, 2678, 3413, 4289, 5832, 6443, 7706, 915, 2111, 2944, 4018, 4681, 5219, 6677, 7421, 142, 2017, 2914, 3825, 4704, 6139, 6794, 8076, 488, 2017, 2806, 3893, 4624, 5901, 6996, 8260, 818, 2017, 2164, 3893, 4782, 6139, 7239, 7876, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 4, 2 ]

[ 1, 16, 5, 42, 69, 30, 5, 76, 17, 54, 5, 5, 5, 66, 73, 5, 5, 3, 142, 2111, 3117, 3825, 4704, 6211, 7098, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2914, 3893, 4624, 6139, 6794, 7766, 484, 1648, 2164, 4114, 5038, 5385, 7006, 7715, 948, 2060, 2860, 3917, 4412, 5661, 7212, 7807, 262, 2069, 2509, 3472, 4211, 6114, 7166, 7864, 331, 1385, 2678, 3661, 4381, 5431, 6732, 7873, 803, 1917, 2400, 3936, 4448, 6100, 6976, 7709, 91, 1978, 2387, 3393, 4675, 5372, 6842, 7769, 663, 1463, 2144, 3224, 4191, 5534, 7098, 8227, 1056, 2046, 3098, 4151, 4374, 6058, 6972, 8044, 100, 1601, 2261, 4099, 4549, 5242, 7012, 7736, 1101, 1966, 2258, 4047, 5101, 5538, 7240, 7678, 574, 1655, 2675, 4137, 4306, 6153, 6986, 7492, 332, 1740, 2607, 3552, 4528, 6135, 6674, 8178, 876, 1740, 2648, 3315, 5091, 5908, 6603, 7823, 1001, 1490, 2175, 4021, 4459, 5690, 6954, 7637, 103, 1107, 2716, 3928, 4596, 6207, 6373, 7498, 510, 1770, 2629, 4074, 5125, 5661, 6809, 7753, 510, 1881, 2356, 3914, 5088, 5565, 6734, 8261, 427, 1933, 3089, 4145, 5080, 6129, 6588, 7948, 1056, 2079, 3095, 4114, 4276, 5534, 6996, 8236, 610, 2079, 2493, 4150, 5166, 6129, 7143, 7690, 1056, 1700, 2754, 3188, 5115, 5540, 6589, 7641, 663, 1218, 3150, 3908, 5165, 6205, 6988, 8093, 831, 1871, 3108, 3763, 4633, 5573, 7168, 8085, 1022, 1383, 2481, 3226, 4856, 5534, 7207, 7379, 864, 2049, 2705, 3259, 5018, 5833, 6953, 7528, 1009, 1902, 2736, 3422, 4274, 5277, 6234, 7657, 150, 1520, 2506, 3849, 4684, 6166, 7086, 7859, 884, 2045, 2532, 3622, 4855, 5701, 6866, 7648, 884, 1903, 3066, 3605, 4527, 5569, 6751, 7360, 884, 1196, 2436, 3498, 4741, 6104, 6748, 7336, 610, 1141, 2389, 4096, 4364, 5933, 7168, 7936, 887, 1831, 2868, 3469, 4795, 5765, 6901, 7537, 663, 1640, 2678, 3917, 4282, 5687, 6736, 7918, 424, 2028, 2515, 3390, 4470, 5752, 6809, 7542, 103, 1807, 2818, 3956, 5042, 5714, 7082, 8016, 1056, 1562, 2868, 3916, 4622, 6120, 7207, 7831, 859, 2068, 2989, 3932, 5088, 6182, 7218, 8267, 195, 1372, 2741, 3564, 4411, 5372, 7200, 7734, 225, 1375, 3133, 3753, 4701, 5825, 6850, 7776, 225, 1684, 2946, 3986, 5073, 6056, 6444, 7781, 757, 1286, 2858, 4093, 5138, 6048, 7103, 8188, 153, 1286, 3139, 3891, 4682, 6117, 6671, 7959, 552, 1218, 2729, 3852, 4470, 6187, 6605, 8061, 930, 1158, 2375, 4156, 4553, 5429, 7163, 7532, 137, 1509, 2387, 3605, 4869, 6172, 6501, 7574, 930, 1726, 2387, 3601, 4347, 5259, 7149, 8095, 1038, 1317, 2293, 4137, 4513, 5934, 6819, 7317, 344, 1317, 2156, 4137, 4650, 6012, 7126, 7413, 344, 1317, 2940, 3239, 4678, 5689, 7064, 7537, 277, 1317, 3053, 4015, 4566, 5325, 6737, 8006, 547, 1317, 2631, 3154, 4635, 6080, 6413, 7676, 266, 1317, 2695, 4073, 4761, 5764, 6583, 7534, 150, 1317, 3052, 3433, 4451, 5893, 6663, 7736, 610, 1317, 2348, 3446, 5018, 5576, 6892, 7873, 1011, 1581, 3046, 3314, 4918, 5862, 7095, 7948, 678, 1660, 2863, 4105, 4925, 5862, 7223, 8193, 1056, 2095, 3143, 4171, 5139, 5730, 6755, 8260, 684, 2024, 3150, 3931, 4287, 6175, 6979, 8237, 956, 1945, 3007, 3982, 5061, 5241, 6979, 7485, 1097, 1175, 2989, 3188, 5061, 6182, 7132, 8267, 818, 2000, 2730, 4011, 5060, 6211, 7201, 7887, 818, 2000, 2925, 3710, 4624, 6085, 7124, 7766, 488, 1528, 2746, 3893, 4624, 6139, 7077, 8267, 818, 1791, 2914, 3710, 5104, 6139, 6972, 8179, 818, 1622, 2991, 3893, 5104, 6129, 6972, 7876, 488, 1528, 2914, 3893, 4624, 6103, 7077, 8196, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 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, 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, 66, 69, 51, 5, 16, 5, 64, 26, 52, 16, 54, 66, 5, 41, 34, 63, 76, 33, 52, 5, 17, 75, 5, 31, 14, 66, 5, 62, 52, 39, 64, 5, 17, 75, 5, 53, 33, 54, 47, 5, 53, 33, 53, 35, 47, 78, 3, 555, 1695, 2340, 3914, 5143, 5527, 7220, 7778, 555, 1695, 3144, 4174, 4822, 5219, 6996, 8236, 105, 1695, 2729, 4174, 4583, 5241, 6709, 8236, 555, 1695, 3150, 3838, 4624, 5901, 6604, 7887, 818, 1648, 2806, 3391, 4387, 5241, 7077, 8080, 488, 2017, 2806, 3893, 4704, 5901, 7124, 8237, 488, 2017, 2806, 3825, 4624, 6139, 7077, 8223, 186, 1963, 2838, 4170, 4624, 5635, 6752, 8237, 914, 1304, 2324, 4145, 4512, 5385, 7084, 8237, 987, 1597, 2487, 4037, 4214, 5849, 6938, 7291, 640, 1476, 2825, 3765, 4911, 6073, 6987, 7772, 858, 1533, 2848, 4138, 4728, 5880, 6626, 7748, 390, 1360, 3053, 3543, 4762, 5413, 6566, 7260, 1056, 1850, 2783, 3776, 4533, 5700, 7048, 8083, 510, 1455, 2946, 3932, 5139, 5573, 6734, 8261, 475, 2001, 2793, 3945, 4622, 5410, 7220, 7735, 276, 1345, 2181, 3819, 4411, 5792, 7073, 7793, 225, 1349, 3144, 3726, 4197, 5906, 6637, 8055, 948, 1971, 2550, 3692, 4966, 6149, 7033, 7855, 1098, 1510, 3089, 3298, 4636, 5570, 6985, 8149, 864, 1510, 2309, 3164, 5124, 5993, 6889, 7369, 678, 1463, 2788, 3648, 4225, 5777, 6403, 7873, 1097, 2073, 2553, 4078, 4215, 5216, 6786, 7607, 484, 1869, 3008, 4171, 5061, 5899, 6584, 8093, 473, 1237, 2469, 3849, 5183, 5436, 7230, 7815, 779, 1770, 2469, 3983, 5058, 5883, 6744, 8188, 391, 1388, 2989, 3448, 5088, 5463, 7049, 7456, 1080, 1828, 2678, 3740, 5040, 6157, 6529, 7597, 511, 1762, 2979, 4082, 4319, 6121, 7066, 7546, 1067, 1496, 2848, 3514, 5055, 5613, 6423, 7789, 448, 1171, 2881, 3467, 4560, 5880, 6486, 8173, 699, 1935, 3038, 3416, 5079, 5684, 7010, 7895, 127, 2002, 2156, 3352, 4529, 5515, 7077, 7908, 127, 1826, 2454, 3838, 4916, 6062, 6584, 8102, 654, 1750, 3018, 3364, 4654, 5521, 6286, 7906, 654, 1750, 3139, 3518, 4274, 6205, 7103, 7715, 654, 1826, 2608, 4166, 4793, 5689, 6251, 7948, 240, 1606, 2542, 3487, 4237, 5521, 6504, 7275, 240, 1304, 2542, 3592, 4549, 5844, 7082, 8262, 654, 2060, 2554, 3277, 4863, 5624, 6338, 7838, 654, 1826, 2473, 3754, 5166, 6157, 6840, 8130, 228, 1468, 2904, 4125, 5193, 5840, 6515, 8132, 356, 1490, 2718, 4175, 5007, 6110, 7111, 7870, 948, 1490, 2754, 3992, 4337, 5624, 6588, 7627, 360, 2020, 2344, 3245, 4835, 5624, 6501, 8165, 814, 1959, 3080, 3365, 4843, 5277, 6609, 7536, 360, 1865, 3045, 3610, 5140, 5273, 6484, 7804, 581, 1284, 2436, 3506, 4927, 5552, 6529, 7567, 493, 1509, 2757, 3394, 4927, 5948, 6230, 8215, 339, 1171, 2913, 3245, 4775, 5624, 6293, 7597, 339, 1637, 2331, 3599, 4456, 5755, 6984, 7983, 730, 1356, 2953, 3718, 4755, 5921, 6295, 7479, 611, 1421, 2871, 3356, 4232, 5600, 6730, 7702, 386, 2118, 2439, 3343, 4678, 5924, 6889, 7582, 271, 1424, 2693, 3595, 4814, 5819, 6978, 7438, 216, 1363, 2293, 3251, 4316, 5824, 7220, 7405, 401, 2049, 2163, 3601, 4326, 5681, 7156, 7906, 1047, 1299, 3007, 3543, 5145, 5568, 6237, 7858, 504, 1400, 2365, 3680, 4855, 6107, 7018, 7563, 840, 1779, 2940, 4137, 4675, 5550, 7004, 7674, 781, 2102, 2172, 3418, 4205, 5856, 7140, 8084, 784, 1177, 2882, 3924, 4236, 5601, 6849, 8123, 940, 1370, 2842, 3601, 5052, 5503, 6437, 8262, 571, 1363, 2924, 3352, 4226, 5279, 7181, 7684, 401, 2081, 2659, 4005, 4470, 5978, 7019, 8195, 678, 1717, 3144, 3645, 4691, 6028, 6612, 7806, 955, 1302, 3098, 3917, 5080, 5643, 7010, 7949, 401, 1402, 3064, 3962, 4586, 5219, 6515, 8261, 1056, 1747, 3098, 3945, 5115, 5883, 7220, 8066, 308, 1869, 2598, 4143, 5159, 5892, 7098, 8147, 789, 2106, 3007, 3231, 5096, 5580, 6810, 7959, 256, 2030, 2941, 3886, 4792, 5963, 7043, 7574, 789, 1525, 2473, 3440, 4555, 6175, 7052, 7715, 256, 2030, 3026, 3710, 4571, 5493, 6283, 8078, 256, 2030, 2466, 3891, 5080, 6129, 6607, 8213, 518, 2097, 2473, 3680, 4493, 6085, 7090, 7806, 901, 2098, 2730, 3240, 4191, 5590, 6996, 8261, 746, 1557, 3043, 3361, 4225, 6102, 6668, 7831, 948, 1637, 2870, 3575, 4792, 5873, 6622, 8041, 1067, 1510, 2633, 3639, 4697, 5276, 6530, 7785, 458, 1510, 3047, 3357, 4992, 6135, 6704, 8142, 249, 1472, 2298, 3298, 4942, 6101, 7028, 7508, 458, 1296, 2165, 3331, 4664, 5889, 6931, 7582, 994, 1773, 2755, 3582, 4664, 5341, 6974, 7902, 536, 1600, 3051, 3298, 4238, 6125, 6536, 7542, 536, 1252, 2389, 4007, 4280, 5716, 6453, 7479, 840, 1252, 2165, 4007, 4709, 5344, 6957, 7299, 840, 1826, 2588, 3345, 4934, 5839, 7181, 8100, 1067, 1531, 2188, 3369, 4473, 5579, 6348, 7711, 271, 1531, 2778, 3342, 4778, 6026, 6917, 7684, 1001, 1655, 3047, 3491, 4238, 5268, 6619, 8189, 150, 1897, 2338, 4047, 4324, 5222, 6396, 8189, 887, 1478, 2348, 4047, 4670, 5931, 6281, 7383, 887, 1717, 2482, 3684, 4330, 6111, 7070, 7906, 1090, 1660, 2679, 3704, 4513, 6197, 7237, 7879, 610, 1672, 3032, 3240, 5079, 6088, 6574, 8209, 831, 1778, 2793, 3945, 5079, 6026, 7095, 7703, 776, 1856, 3061, 3912, 4303, 5944, 6874, 7768, 864, 1897, 2798, 4016, 4770, 5284, 7069, 7576, 1008, 1362, 2149, 4047, 4330, 5930, 6628, 7657, 664, 1655, 2847, 3421, 5114, 5742, 6887, 8178, 840, 1531, 2476, 3366, 4949, 5871, 6269, 7874, 840, 2059, 2339, 3187, 4949, 6167, 6501, 7983, 1001, 1630, 2213, 4168, 4612, 6156, 6354, 7542, 1067, 2089, 2868, 3466, 4321, 6034, 7228, 7271, 961, 2009, 2933, 3727, 4536, 5404, 6348, 8222, 1025, 2089, 2274, 3964, 5050, 5840, 6565, 8145, 610, 1926, 2688, 3233, 5001, 5585, 6262, 7677, 610, 1183, 2688, 3233, 4788, 6107, 7158, 7979, 1084, 1439, 3092, 3300, 4470, 6183, 7174, 7284, 1033, 1988, 2708, 4125, 4203, 5313, 6719, 7378, 277, 1850, 2152, 3165, 5126, 6114, 7072, 7901, 113, 1199, 3066, 3258, 4248, 6120, 6901, 7515, 1008, 1753, 2373, 4099, 4215, 5323, 6883, 8140, 1016, 1867, 2163, 3520, 4755, 6107, 7104, 8021, 211, 1463, 2137, 3728, 4548, 6066, 7218, 8248, 684, 1897, 3110, 4152, 5061, 5475, 6988, 7313, 288, 2063, 3098, 4113, 4849, 5892, 7218, 8083, 308, 1851, 2936, 4114, 5159, 6007, 7084, 7949, 440, 2030, 2771, 3878, 4323, 5493, 6776, 7806, 691, 1724, 2729, 4007, 4630, 5924, 6612, 7312, 895, 1826, 2715, 3680, 4635, 6192, 6426, 7658, 360, 1252, 2568, 3356, 5184, 6035, 6457, 7654, 584, 1826, 3091, 3421, 4616, 6197, 6226, 8065, 161, 1489, 2410, 3394, 4321, 5567, 6710, 8197, 655, 2036, 2953, 3678, 4873, 6184, 6849, 7747, 1062, 1703, 3040, 3292, 4429, 5433, 6410, 7925, 833, 1728, 3049, 3642, 5193, 5948, 7017, 7916, 818, 1897, 2391, 4027, 5125, 5702, 6776, 7485, 935, 1149, 2391, 3891, 5083, 5968, 7218, 8083, 935, 1620, 2391, 3891, 4630, 6131, 7218, 7557, 935, 2017, 3109, 3891, 4861, 6014, 7006, 7782, 935, 1664, 3144, 4018, 4533, 5219, 6996, 7723, 186, 1528, 3109, 4115, 4624, 5219, 6709, 7949, 935, 2017, 2947, 3891, 4630, 6211, 6786, 8185, 935, 1648, 2164, 3367, 4704, 5635, 7124, 8107, 421, 2097, 2139, 3363, 4319, 5943, 7223, 7599, 757, 1865, 3062, 4113, 5138, 6006, 6892, 7717, 317, 1490, 2352, 3901, 4916, 5393, 7121, 7631, 304, 1503, 2783, 3648, 4636, 5671, 6415, 8237, 895, 2019, 2677, 3777, 5127, 5373, 7173, 8050, 936, 1199, 2716, 3392, 4288, 5373, 6765, 7448, 1019, 1828, 2642, 3568, 4962, 5325, 6610, 7497, 1074, 1732, 2156, 3558, 4205, 6197, 7099, 8012, 1040, 1832, 2751, 3316, 5100, 6222, 6571, 8039, 480, 1640, 3018, 3323, 4804, 5212, 6321, 8039, 1025, 1118, 2978, 3939, 4437, 5601, 6525, 7880, 986, 1164, 2345, 3307, 4952, 5918, 6896, 8049, 582, 1742, 2610, 3395, 4665, 5800, 7191, 7913, 103, 2053, 2841, 3631, 4617, 5479, 6550, 8227, 1025, 1942, 2843, 3582, 4777, 5793, 6388, 7869, 424, 1937, 2826, 3983, 4364, 5874, 6452, 7448, 317, 1164, 2175, 3662, 5145, 6051, 6614, 7700, 225, 1773, 2897, 3782, 4412, 5325, 6431, 7624, 225, 1570, 2473, 3592, 4411, 6160, 6642, 7262, 654, 1695, 2468, 3928, 5083, 5730, 6589, 8128, 654, 1345, 2341, 4125, 5159, 5381, 7146, 7677, 654, 1623, 2468, 3394, 5182, 5438, 6632, 7563, 654, 1286, 2791, 3928, 4927, 5672, 7041, 8261, 518, 1756, 2554, 3394, 4549, 6175, 7024, 7891, 518, 1756, 3006, 3227, 4870, 6157, 6906, 7838, 654, 2111, 2904, 3227, 4459, 5830, 6752, 8266, 568, 1623, 2791, 3595, 5080, 5413, 6291, 7732, 568, 1935, 2554, 3595, 5143, 5581, 6584, 7677, 228, 2118, 3147, 3227, 5134, 5296, 6604, 7485, 617, 2061, 2775, 3550, 5135, 5908, 6988, 7920, 617, 2127, 2718, 3796, 4775, 5963, 6648, 7865, 555, 1623, 2833, 3726, 5135, 6175, 7069, 7485, 860, 2111, 2806, 3595, 5166, 5890, 6688, 7485, 488, 1622, 2806, 3595, 4624, 6139, 7077, 7715, 488, 2017, 3117, 3367, 4624, 6139, 7124, 8196, 818, 1648, 2833, 4071, 4624, 6139, 6996, 8196, 555, 1750, 2970, 4071, 4870, 5635, 7120, 8196, 859, 1332, 2970, 3891, 4536, 5436, 6688, 8080, 552, 2013, 2669, 3967, 4387, 5963, 6291, 8066, 555, 2111, 2164, 3914, 4890, 5550, 7077, 7476, 488, 2017, 3117, 3891, 4798, 5892, 7077, 8083, 142, 1528, 2806, 4018, 4704, 6211, 6589, 8196, 186, 1844, 2164, 3891, 4366, 5612, 6794, 8196, 555, 2065, 2949, 4018, 4798, 5534, 7077, 8267, 756, 1567, 2293, 3975, 5159, 5550, 7129, 7815, 294, 1199, 2430, 3287, 4818, 5673, 6433, 8232, 868, 1346, 2813, 3957, 4187, 6126, 6466, 7644, 893, 1658, 2584, 3752, 4677, 5533, 6799, 7593, 776, 1762, 2450, 3619, 4501, 5429, 6523, 7503, 779, 1597, 2820, 3904, 5145, 6080, 7018, 7500, 709, 2068, 3135, 3843, 4762, 5565, 7004, 7776, 684, 1508, 2834, 3961, 4861, 6129, 7160, 8179, 1097, 2041, 2754, 3226, 4447, 5573, 6786, 8260, 956, 1963, 2586, 4071, 4630, 6211, 6467, 8267, 211, 1750, 2391, 3886, 5058, 5968, 7239, 7570, 390, 1700, 3007, 3918, 4782, 5612, 6709, 7723, 610, 1989, 2887, 4068, 5169, 6131, 6988, 7715, 752, 1932, 2716, 4145, 4993, 5899, 6708, 7919, 650, 2056, 2429, 3828, 4343, 6141, 7019, 7803, 545, 1531, 2874, 3502, 4509, 5689, 6682, 7941, 826, 1531, 2230, 3205, 4415, 5880, 6564, 7815, 826, 1141, 2846, 3973, 4274, 5843, 7045, 8094, 1023, 1507, 2652, 3264, 5001, 5631, 7126, 7962, 399, 1349, 2627, 3239, 4689, 5675, 6674, 8149, 737, 1938, 2260, 3394, 4455, 5578, 6909, 7462, 314, 1938, 2687, 3642, 4510, 6026, 7050, 7873, 216, 1999, 2349, 3474, 4690, 5279, 6239, 7791, 386, 1928, 3070, 4073, 4982, 5317, 7168, 7816, 807, 1248, 2404, 3558, 4613, 5344, 6843, 7710, 1023, 1550, 2222, 4128, 4841, 5486, 6615, 8077, 234, 1550, 2764, 3239, 4807, 6154, 6691, 7534, 234, 1550, 2961, 3464, 4514, 5224, 7126, 7336, 807, 1178, 2207, 3623, 4900, 5976, 6592, 7592, 862, 1550, 2292, 3472, 4776, 5907, 6438, 7375, 938, 1550, 2764, 4021, 4514, 5863, 6237, 7903, 938, 1773, 2250, 3623, 4813, 6191, 6895, 7702, 1047, 1770, 2783, 3979, 4334, 5475, 6613, 7675, 504, 1400, 2887, 3756, 4807, 5350, 7084, 8184, 386, 1141, 2292, 3342, 5124, 5610, 6254, 8265, 271, 1141, 2490, 3558, 4374, 5643, 6732, 8209, 504, 1400, 2440, 3271, 5018, 5713, 6536, 8232, 1080, 1655, 2460, 3231, 5122, 5602, 6365, 7788, 602, 1826, 2188, 3284, 4585, 6073, 6456, 7534, 896, 1826, 2437, 3485, 4687, 5495, 6681, 8103, 1023, 2120, 2183, 3448, 4644, 5356, 6337, 8092, 363, 1826, 2866, 4079, 4800, 5224, 6467, 8150, 840, 1826, 2758, 4007, 4636, 5765, 7072, 7797, 778, 1755, 3145, 3679, 4812, 5671, 6403, 7740, 401, 2053, 2891, 3917, 4677, 6024, 7203, 7260, 150, 1820, 2429, 3430, 5110, 5981, 7148, 8209, 887, 1630, 2429, 3258, 4954, 5954, 6768, 8259, 887, 2053, 2737, 3968, 4807, 5512, 7152, 8241, 104, 1141, 2946, 3540, 4981, 5210, 6938, 7582, 113, 2084, 2740, 3649, 4208, 5946, 7232, 7815, 535, 1865, 2876, 3840, 4544, 5600, 6476, 7950, 895, 1886, 2265, 3911, 4556, 5602, 6478, 8061, 641, 1796, 2761, 3409, 4677, 5555, 7222, 8061, 1084, 1545, 2332, 4079, 4359, 5459, 6295, 7798, 1005, 1966, 2332, 4117, 5127, 5341, 6370, 7583, 1057, 1453, 2352, 3793, 4954, 6163, 6769, 7582, 895, 1736, 2750, 4066, 5146, 5824, 6463, 8258, 91, 1494, 3039, 3943, 5096, 5953, 7081, 7997, 827, 1881, 2631, 4007, 5049, 5603, 6413, 8161, 113, 2118, 2615, 3425, 5072, 5552, 7066, 8193, 668, 1653, 2142, 3635, 4278, 5918, 6842, 8079, 1036, 1597, 2610, 4037, 4612, 5818, 6984, 8065, 692, 1597, 2751, 3766, 5054, 5584, 6251, 8061, 620, 1942, 2506, 3963, 4562, 5690, 6531, 7795, 862, 1397, 2506, 3304, 4945, 5640, 7154, 8161, 1080, 1550, 3032, 3943, 5134, 5924, 6348, 7828, 981, 1706, 3039, 3884, 4881, 6119, 6564, 7387, 487, 1992, 2692, 3733, 4604, 6096, 7181, 7634, 995, 1118, 3116, 4092, 5124, 5898, 7102, 7776, 692, 1550, 2751, 3522, 4711, 5540, 7030, 7958, 952, 1472, 2515, 3764, 4323, 5381, 6986, 7602, 938, 1570, 3116, 3443, 4620, 5458, 7229, 8078, 715, 1489, 2543, 3592, 4216, 6147, 6569, 7962, 317, 1773, 2771, 3188, 4321, 5354, 6528, 7488, 317, 1280, 2720, 3844, 4513, 5865, 6918, 7975, 225, 1773, 2359, 3648, 4775, 5413, 7044, 7664, 518, 1311, 3095, 4168, 5048, 5436, 6988, 8066, 518, 2111, 2542, 4145, 4859, 5677, 7100, 8076, 228, 1304, 2554, 3535, 4888, 5787, 7207, 8236, 228, 1623, 2565, 4006, 4870, 5223, 6612, 8102, 183, 1851, 2565, 4125, 4700, 5962, 6612, 7806, 617, 1858, 2833, 3770, 4267, 5797, 6486, 7548, 859, 1684, 2565, 4138, 4727, 5515, 7168, 8132, 186, 2111, 2210, 3914, 5138, 5963, 7120, 8076, 860, 2017, 2806, 3595, 4624, 6139, 7124, 7949, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 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, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 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, 4, 2 ]

[ 1, 76, 45, 31, 5, 31, 16, 5, 53, 48, 54, 78, 5, 17, 75, 5, 41, 20, 63, 53, 44, 55, 5, 16, 5, 52, 45, 66, 35, 5, 5, 3, 419, 1971, 2839, 4121, 5127, 5796, 7157, 7992, 617, 1695, 2880, 3891, 4522, 5514, 6813, 7965, 552, 2127, 3095, 3914, 5135, 5219, 7160, 7485, 484, 2088, 3026, 4145, 4512, 6175, 6688, 8080, 860, 2073, 2806, 4071, 4704, 5963, 7201, 8196, 860, 2017, 2806, 3893, 4704, 6139, 7226, 8196, 488, 2017, 2806, 3893, 4624, 6081, 7077, 8223, 818, 1218, 2960, 3893, 4822, 6186, 7077, 7949, 1099, 1508, 2164, 3945, 4980, 5635, 7239, 7485, 318, 1932, 2941, 4082, 5127, 5761, 6605, 8235, 716, 1956, 2436, 3245, 5049, 5259, 6853, 7467, 955, 1202, 2436, 3917, 4545, 5285, 6443, 7498, 211, 1335, 2439, 3707, 4617, 6111, 7202, 8027, 1037, 2125, 3150, 3918, 5061, 6103, 6752, 8093, 120, 1989, 2436, 3429, 4541, 5579, 6778, 8081, 325, 1826, 2868, 3196, 4567, 5793, 6949, 7574, 117, 1299, 2346, 3459, 5011, 5334, 6838, 7896, 665, 2059, 2951, 3949, 4365, 6059, 6628, 8143, 778, 1660, 2429, 4027, 4773, 5498, 7007, 7910, 104, 1269, 2401, 3314, 4795, 6000, 6614, 7972, 1025, 1850, 2429, 3756, 4501, 5978, 6603, 7677, 1025, 1630, 2610, 3271, 4543, 5485, 7030, 7532, 826, 1858, 2292, 3396, 4617, 5899, 6901, 8227, 887, 1782, 2895, 3410, 4954, 5363, 6830, 8170, 104, 1978, 2552, 3430, 4700, 5614, 6813, 8070, 850, 1777, 2258, 3410, 5020, 5423, 7086, 7563, 936, 1601, 3063, 3238, 4821, 6016, 7244, 8180, 936, 1561, 2519, 3410, 4651, 5379, 7114, 7538, 545, 1350, 2973, 3417, 4402, 6002, 6871, 7726, 545, 1914, 2678, 4117, 4751, 6130, 6430, 7447, 936, 1637, 2464, 3513, 4733, 5523, 6491, 7538, 104, 1550, 2807, 3351, 4220, 5825, 6710, 8258, 986, 1721, 2923, 3417, 4383, 6213, 6998, 7962, 487, 1771, 2464, 3753, 5022, 5543, 7222, 8150, 784, 1550, 2429, 3538, 5081, 5269, 7175, 7770, 504, 1269, 2649, 3986, 5101, 6130, 6371, 7494, 386, 1550, 2134, 4145, 4737, 5310, 6240, 7658, 643, 1948, 2890, 3417, 4306, 6131, 7000, 8182, 504, 1717, 2661, 3361, 4981, 5677, 7114, 7664, 643, 1269, 2924, 4082, 4665, 6073, 6822, 7605, 504, 1688, 2429, 3169, 4807, 6075, 7207, 7676, 386, 1777, 2515, 3616, 4693, 6077, 7103, 8248, 1081, 1692, 3008, 3410, 5164, 6123, 6566, 7677, 317, 1717, 2658, 3251, 4209, 5584, 6962, 7260, 654, 1994, 3043, 3543, 5095, 5810, 6671, 7846, 576, 2118, 3032, 4080, 4321, 5584, 7157, 7660, 613, 1323, 2818, 4117, 4579, 5333, 7200, 7381, 614, 1323, 2503, 3169, 4996, 5205, 6614, 7893, 681, 1299, 2455, 3993, 5074, 5828, 6763, 7728, 803, 1708, 2727, 3365, 4364, 5665, 7136, 8217, 1035, 1582, 2762, 3877, 4898, 5823, 6502, 7533, 256, 1939, 2519, 3512, 4589, 5539, 6547, 7254, 518, 1753, 2326, 3929, 5073, 5613, 7212, 7660, 878, 1452, 2383, 3908, 4611, 6058, 6752, 8213, 256, 2024, 2991, 3352, 4863, 6195, 7129, 7887, 256, 1467, 2970, 3352, 5165, 6146, 6584, 7876, 256, 1620, 3064, 3407, 4867, 6205, 6734, 7336, 256, 1620, 2781, 3879, 4916, 6032, 6750, 7806, 901, 1286, 2991, 3352, 4276, 5684, 6717, 7574, 878, 1304, 2971, 3866, 4536, 5218, 7041, 7509, 1015, 1389, 2833, 3201, 5168, 5899, 6612, 7658, 132, 1869, 2996, 3470, 4558, 5684, 7085, 7885, 731, 1984, 2754, 3964, 5083, 5983, 7218, 8173, 318, 1251, 2831, 4034, 4759, 5746, 6677, 7898, 784, 1688, 3090, 3804, 5143, 5606, 6912, 7577, 540, 1106, 2392, 3735, 5114, 5351, 6693, 7451, 784, 2035, 2425, 3609, 5081, 5499, 7220, 7466, 150, 2029, 2623, 3369, 4578, 5993, 6244, 8117, 784, 1727, 2700, 3707, 4658, 5858, 7061, 7628, 150, 1783, 2205, 4158, 5081, 5528, 7181, 7973, 784, 2035, 2655, 3685, 4593, 5254, 6485, 8145, 887, 1867, 2638, 3495, 4276, 6162, 6404, 7606, 643, 1755, 3043, 3910, 4812, 5924, 6850, 7386, 223, 1886, 2868, 3909, 4972, 5630, 6677, 7457, 1033, 1886, 2837, 3679, 4814, 5796, 6613, 8126, 1036, 2055, 3075, 3680, 4352, 5927, 6278, 7542, 363, 1834, 2357, 4047, 4711, 5257, 6267, 7781, 1029, 1550, 2870, 3764, 5152, 5441, 7147, 7761, 304, 1992, 2440, 3637, 5152, 5584, 6898, 7752, 1035, 1858, 2563, 3229, 4757, 5298, 7019, 7706, 1024, 1269, 2581, 3826, 4536, 5981, 6976, 7400, 1024, 1141, 2247, 3410, 4887, 5832, 6687, 8250, 498, 1596, 3040, 4010, 4541, 5321, 6491, 7513, 92, 1183, 2731, 4083, 4401, 5404, 6654, 7892, 1009, 1183, 2605, 4163, 4590, 5364, 6846, 7480, 864, 2066, 2494, 4160, 4185, 5730, 6906, 7862, 643, 2066, 2250, 4030, 5193, 5444, 6502, 7976, 970, 1415, 3092, 3420, 5192, 5787, 6502, 8048, 970, 1363, 2173, 3826, 5079, 6063, 6612, 8132, 571, 1543, 2254, 3932, 4343, 5954, 7162, 8126, 643, 2066, 2940, 3777, 5106, 5596, 6884, 7591, 970, 1982, 3092, 3578, 4337, 5360, 6980, 7933, 970, 1886, 2173, 3865, 4807, 5366, 6515, 8079, 692, 2066, 2497, 3356, 4586, 5845, 6566, 7919, 381, 1826, 2497, 3254, 4457, 5584, 6570, 8030, 1080, 1438, 2953, 3279, 4542, 5925, 6484, 8189, 784, 2047, 2725, 3434, 4697, 6118, 7157, 7920, 1052, 1692, 2856, 4076, 5154, 6191, 7173, 7584, 715, 1587, 2536, 3839, 4896, 5971, 6981, 7861, 475, 1471, 2944, 3204, 4764, 5202, 7007, 7545, 518, 1982, 2683, 4150, 5169, 5844, 6840, 8085, 317, 1623, 2991, 3188, 4843, 5950, 6443, 7811, 617, 1623, 2656, 3710, 5129, 5821, 6338, 8017, 211, 1918, 2729, 4098, 4861, 5381, 7033, 7591, 223, 1540, 2315, 4150, 5088, 5641, 6443, 8058, 569, 1758, 2941, 3488, 4215, 5553, 6702, 7341, 974, 1586, 2629, 4005, 4796, 5918, 6716, 7505, 1080, 1496, 2926, 3687, 4723, 5721, 7047, 7634, 693, 1586, 2751, 3533, 4279, 5289, 6838, 7312, 981, 1586, 2494, 3398, 4746, 5496, 6614, 7509, 1038, 1562, 2884, 3641, 5194, 6016, 6944, 8118, 959, 1849, 2775, 3273, 4204, 6175, 6284, 8092, 1091, 1758, 3109, 3550, 4343, 5796, 6979, 7658, 959, 1149, 3026, 3900, 4893, 6025, 6905, 8126, 427, 2111, 2391, 3771, 4456, 5811, 6988, 7959, 552, 1998, 3109, 3900, 5183, 6084, 7132, 7899, 859, 1858, 2959, 3602, 4829, 5824, 7010, 7602, 552, 1475, 2944, 3912, 4181, 5981, 6786, 8093, 186, 2111, 2679, 3886, 5166, 6195, 7207, 7591, 488, 2017, 2914, 3803, 4704, 5687, 7124, 7949, 818, 2017, 2391, 3893, 4888, 6186, 7124, 8267, 818, 1648, 2914, 3825, 4888, 6139, 7124, 7766, 186, 2017, 2164, 3893, 4624, 6186, 7077, 7723, 186, 1648, 2164, 3825, 5060, 5635, 7077, 8147, 555, 1623, 2858, 3595, 5060, 5678, 7129, 8260, 488, 1623, 2833, 4171, 4888, 6137, 7124, 8223, 4, 2 ]

[ 1, 14, 78, 5, 31, 16, 5, 53, 11, 55, 42, 63, 16, 52, 5, 64, 62, 14, 66, 5, 23, 66, 5, 31, 16, 5, 44, 54, 51, 17, 53, 28, 35, 44, 55, 5, 42, 14, 42, 5, 17, 75, 5, 41, 36, 5, 5, 3, 555, 1695, 2740, 4174, 5075, 6211, 6584, 8083, 555, 1345, 2839, 3851, 4890, 5840, 6972, 7410, 337, 1490, 3143, 3388, 5143, 5219, 6752, 8076, 186, 1332, 3144, 3994, 5060, 5436, 6809, 7715, 488, 1945, 2806, 4174, 4551, 5892, 6996, 8237, 915, 1406, 2960, 3891, 5060, 6129, 6752, 7421, 715, 1388, 3080, 3533, 4186, 5436, 6726, 8140, 830, 1107, 2787, 3765, 4532, 6220, 6978, 8203, 723, 1653, 3103, 3421, 5081, 5492, 6442, 7545, 893, 1706, 2273, 4137, 4819, 5512, 6413, 8229, 825, 1139, 2693, 3417, 4843, 5689, 6486, 7793, 1014, 1596, 2818, 3472, 5026, 6137, 6728, 8120, 518, 1961, 2582, 3361, 5150, 5368, 6963, 8226, 440, 1460, 2473, 4152, 4678, 5520, 6651, 8024, 308, 1525, 2754, 3723, 4213, 5641, 6895, 7749, 804, 2097, 2780, 4115, 4822, 6014, 7019, 7557, 952, 2012, 2869, 4082, 4307, 5781, 6830, 8266, 115, 1881, 2152, 4151, 4364, 6147, 7047, 7349, 752, 1463, 3067, 3498, 4916, 5953, 6609, 7574, 1024, 1337, 2657, 3448, 4338, 5568, 6614, 7273, 319, 1399, 2137, 3229, 4333, 6135, 6715, 7842, 1035, 1943, 2365, 3314, 4970, 5644, 6279, 8143, 424, 1878, 2923, 3671, 4186, 5978, 6884, 8066, 391, 1587, 2554, 3464, 4435, 5850, 7136, 7288, 335, 1146, 2597, 3391, 4328, 5492, 6633, 7677, 424, 1878, 2175, 3766, 5193, 5694, 6633, 7741, 937, 1440, 2175, 3929, 4421, 5265, 7202, 8117, 831, 1369, 2175, 3732, 4589, 6182, 6366, 7582, 424, 1674, 2895, 4022, 4364, 6190, 7156, 8210, 937, 1996, 2693, 3631, 4901, 5810, 6917, 7291, 778, 2053, 2132, 4066, 4934, 6196, 6659, 7962, 104, 1326, 2330, 3516, 5081, 5205, 6542, 7857, 646, 1581, 2756, 3479, 4642, 5551, 6561, 7751, 472, 1130, 2173, 3481, 4471, 6004, 6301, 7812, 517, 2124, 2495, 3322, 4683, 5775, 6745, 7457, 517, 2033, 3011, 3567, 4626, 5934, 6477, 7758, 738, 2033, 2275, 4100, 4642, 5745, 6442, 7963, 465, 1326, 2894, 3894, 5105, 5510, 6905, 7510, 895, 1183, 2383, 3915, 4475, 5989, 7025, 7849, 1090, 1529, 2902, 3263, 4717, 5574, 6826, 8031, 1025, 1370, 2207, 4067, 4965, 5615, 6807, 7435, 778, 1755, 2222, 3973, 4321, 6094, 6812, 7665, 104, 1541, 3003, 3410, 4268, 5950, 6657, 7895, 610, 1809, 2678, 3771, 5122, 6080, 7075, 7548, 104, 1633, 2783, 3188, 4180, 5972, 6281, 7926, 391, 1322, 2944, 3949, 4435, 5610, 6314, 7846, 408, 1747, 2994, 3426, 4734, 5653, 6769, 8266, 1025, 1399, 3080, 3669, 5073, 5901, 7098, 7720, 424, 1978, 2944, 4011, 4912, 6018, 6630, 8267, 1090, 1660, 2493, 4067, 4797, 6024, 7060, 7718, 778, 1405, 2703, 4027, 5073, 5990, 6871, 7732, 536, 2052, 2241, 3974, 4641, 5899, 6265, 7791, 536, 1512, 2312, 3950, 4451, 6223, 6645, 7644, 536, 1669, 3050, 3675, 5018, 6066, 6717, 8126, 536, 1633, 2389, 3156, 4248, 5447, 6857, 8006, 150, 1199, 2727, 3420, 5003, 5553, 7119, 8089, 1067, 1199, 2732, 3325, 4725, 5716, 6767, 7496, 678, 2050, 3032, 3300, 4348, 5249, 6559, 7637, 504, 2035, 2452, 3333, 4559, 5481, 7047, 7811, 678, 1248, 2167, 4128, 4543, 6120, 7233, 7774, 575, 1356, 2137, 3950, 4334, 5482, 6630, 7260, 1081, 1407, 2748, 4165, 4815, 5678, 7197, 7586, 211, 1608, 2965, 4011, 4289, 5534, 7095, 8128, 789, 1939, 2820, 3993, 4447, 5586, 6579, 8252, 654, 1826, 2971, 4085, 4329, 6170, 7098, 7707, 654, 1490, 2792, 3391, 5169, 5216, 6291, 7677, 518, 2002, 2669, 3478, 4912, 5514, 6889, 8261, 518, 1304, 2340, 4011, 5061, 5892, 6715, 8102, 518, 1596, 2918, 3478, 5138, 6137, 7152, 8102, 195, 1750, 2775, 3674, 4583, 5296, 6589, 7717, 654, 1345, 2316, 3364, 4297, 5838, 6338, 7538, 654, 1468, 2468, 4175, 4529, 5514, 6876, 7386, 1056, 1822, 2729, 3962, 4276, 5606, 6430, 8102, 488, 1756, 2941, 3391, 4862, 6110, 6840, 7260, 419, 1750, 3062, 3394, 4329, 5892, 6671, 7716, 419, 1750, 2806, 3595, 4398, 5705, 6996, 8080, 915, 1528, 3065, 3595, 4555, 6139, 6996, 7949, 419, 1622, 3117, 3595, 4398, 5705, 6840, 7677, 870, 1817, 2791, 3982, 4268, 6041, 6838, 8211, 249, 1817, 2436, 3403, 4773, 6166, 6964, 7250, 1077, 1609, 3025, 3720, 4258, 6209, 6554, 7973, 809, 1105, 2260, 3802, 4220, 6011, 7231, 8117, 673, 1489, 2863, 3421, 4218, 5642, 7231, 7487, 480, 1217, 3039, 3332, 4804, 6191, 7241, 7629, 930, 1455, 3029, 4173, 4305, 6216, 6921, 8187, 1052, 1539, 2300, 4149, 4850, 5869, 6780, 7637, 750, 1349, 3095, 3688, 5138, 6097, 6834, 7917, 684, 2068, 3135, 3914, 4918, 6175, 6979, 7906, 153, 1186, 2139, 3478, 4180, 6194, 7140, 8078, 397, 2035, 2398, 3533, 5150, 5836, 6648, 8009, 1052, 1424, 2835, 3390, 5151, 5228, 6889, 8141, 242, 1436, 2453, 3741, 4597, 5749, 7170, 7872, 113, 2065, 2299, 3874, 4594, 5569, 6358, 8157, 759, 1615, 2890, 3874, 4900, 5337, 6578, 8168, 1067, 1585, 2316, 3202, 5170, 5228, 7166, 8140, 508, 2036, 2316, 3988, 4691, 5843, 6550, 8094, 776, 1503, 2975, 3369, 4830, 5569, 6311, 8170, 603, 1407, 2754, 3869, 4284, 6030, 6500, 7365, 804, 1984, 3060, 3962, 4861, 5586, 6235, 8157, 488, 2017, 2746, 4068, 4713, 6129, 6979, 8237, 935, 2032, 3110, 4113, 4554, 5883, 6668, 7720, 935, 2032, 2473, 3645, 4583, 6087, 7077, 7706, 935, 1851, 2820, 3886, 4583, 6131, 6607, 8267, 405, 1648, 3007, 4166, 4287, 5911, 6709, 8209, 1102, 1752, 2383, 4056, 4586, 5320, 6734, 7894, 1033, 1164, 2152, 3961, 5070, 6181, 7059, 7379, 986, 2053, 2940, 3631, 4255, 5512, 6704, 7494, 986, 1808, 2661, 4007, 4755, 5814, 7030, 8234, 104, 1550, 2987, 4137, 4671, 5827, 7059, 8134, 487, 1935, 2436, 4085, 4215, 6034, 6732, 7641, 807, 1700, 3116, 3472, 5054, 6221, 6484, 8027, 839, 1669, 2817, 3964, 4995, 5827, 6985, 8178, 668, 1202, 2751, 3785, 4734, 6084, 6998, 7318, 487, 1660, 2359, 3773, 4492, 5341, 6536, 7869, 692, 1951, 2555, 3596, 4910, 6180, 6476, 8266, 391, 1286, 2534, 4151, 4387, 5565, 6348, 8046, 1090, 1369, 2582, 3455, 5088, 5300, 6482, 8248, 826, 1721, 2944, 4055, 5084, 5767, 6734, 7764, 104, 1858, 2783, 3616, 5061, 5749, 7158, 8117, 424, 1989, 2996, 4145, 5129, 5749, 6589, 7846, 914, 1847, 2838, 4145, 4630, 6123, 6979, 7485, 552, 1198, 3053, 3929, 4374, 5436, 7010, 7962, 818, 2068, 3007, 4114, 4912, 5219, 6988, 8147, 956, 1992, 2925, 3516, 4470, 5210, 6972, 7570, 585, 1910, 2971, 3376, 4586, 6123, 6563, 8236, 878, 1845, 2833, 4092, 5088, 5515, 7079, 8245, 617, 1406, 2730, 3581, 4344, 5379, 6749, 8069, 863, 1946, 3130, 3391, 4633, 5219, 7120, 7823, 319, 1499, 2868, 4146, 5127, 6135, 6443, 7587, 840, 1322, 2430, 3356, 4509, 6111, 6694, 7678, 840, 1531, 2476, 3902, 4649, 6002, 6650, 7910, 840, 1550, 2231, 3688, 4471, 5624, 6903, 7578, 887, 1227, 2482, 3560, 4567, 5749, 6286, 7954, 887, 1808, 3080, 3979, 4287, 5413, 7230, 7962, 850, 1633, 2520, 3251, 4282, 5341, 6630, 7947, 826, 1633, 2480, 3175, 4364, 5413, 6961, 7952, 1090, 1660, 3033, 3512, 4801, 5953, 6270, 8034, 424, 1363, 2944, 4085, 5183, 5968, 6891, 7917, 684, 2068, 2944, 3710, 4792, 5730, 6620, 7421, 571, 1587, 2943, 3866, 4589, 5834, 7084, 7876, 1057, 1601, 3005, 3162, 4843, 6208, 7109, 7476, 891, 1396, 2925, 3190, 4276, 5599, 7007, 8078, 1067, 1897, 2423, 3908, 4215, 5980, 6304, 8252, 778, 1770, 2254, 3962, 4950, 6181, 6860, 7889, 850, 1275, 2790, 3158, 4489, 5579, 6803, 8009, 993, 1337, 2572, 3882, 5144, 6119, 7057, 8250, 862, 1736, 3101, 3356, 4562, 5226, 7087, 7649, 1080, 1732, 2848, 3421, 4495, 6018, 7012, 7483, 668, 1277, 2625, 3943, 4776, 5548, 6400, 7966, 487, 1289, 2470, 4037, 4604, 5552, 6235, 8128, 545, 1363, 2661, 3218, 4831, 6128, 6456, 7652, 778, 1550, 2695, 3508, 4402, 5431, 6655, 7962, 850, 1182, 2135, 3298, 4439, 5549, 6740, 8069, 778, 1831, 2911, 4155, 4259, 5765, 6603, 7505, 641, 2095, 2429, 3910, 4966, 5694, 6824, 7821, 408, 1778, 2429, 3848, 4368, 5835, 6813, 7962, 1025, 1455, 2638, 3870, 4467, 5684, 7207, 7664, 779, 1992, 2369, 3885, 4993, 6163, 6677, 7811, 1056, 1369, 2716, 4166, 4622, 5883, 6734, 7799, 684, 1889, 2799, 4071, 4795, 5580, 7019, 7948, 120, 1164, 2767, 3963, 4626, 5899, 7229, 7980, 864, 1942, 2254, 4137, 4218, 5341, 6386, 7288, 165, 1397, 2135, 3169, 5067, 6119, 7033, 7442, 360, 1283, 2997, 3387, 5000, 6107, 6735, 8189, 840, 1283, 2845, 4057, 4365, 6024, 6497, 7954, 536, 1918, 2670, 3839, 4664, 5843, 6284, 7290, 113, 1348, 2346, 3968, 5030, 6034, 6948, 8041, 673, 1397, 2355, 3849, 4278, 5314, 6606, 7775, 880, 1494, 2294, 3394, 4440, 5697, 6683, 8062, 930, 1608, 3037, 3218, 5189, 6178, 6426, 8269, 840, 1550, 2625, 3384, 4635, 5499, 6442, 7971, 1062, 1932, 2601, 3631, 5101, 5512, 7244, 8190, 1090, 1821, 2387, 3358, 4780, 6147, 6991, 8139, 1056, 1540, 3026, 4151, 4780, 6063, 7207, 8260, 663, 1797, 3008, 4071, 4782, 6211, 6588, 7664, 424, 1932, 3109, 4135, 4589, 5219, 7090, 8076, 113, 1910, 2936, 3891, 5022, 5672, 6314, 7708, 487, 1686, 2188, 3869, 4258, 5762, 6820, 7415, 277, 2059, 2795, 3936, 4337, 5432, 6611, 7598, 137, 1407, 2207, 3740, 5006, 6118, 6883, 7535, 895, 1770, 2361, 3442, 5188, 5410, 6562, 8137, 405, 2069, 3008, 3982, 4885, 6063, 7207, 7838, 789, 2020, 2473, 4065, 5183, 5901, 6613, 7811, 617, 1525, 2139, 4094, 5143, 5824, 7095, 8077, 789, 1525, 2989, 3891, 5104, 6205, 6972, 7524, 256, 2030, 2356, 3361, 5148, 5438, 7019, 7402, 878, 2001, 2473, 3391, 4536, 6085, 7006, 7896, 518, 2030, 2991, 3952, 4775, 6147, 6840, 7563, 256, 2030, 3144, 3550, 4387, 5761, 7084, 7290, 901, 2073, 3147, 3827, 4881, 5438, 6726, 8252, 256, 1623, 2250, 3516, 4918, 5438, 6584, 8033, 756, 1141, 2469, 3440, 4344, 6182, 6671, 7717, 752, 2097, 3038, 3169, 4423, 6117, 7202, 7593, 492, 1212, 2891, 3537, 4565, 5228, 6663, 8244, 535, 1609, 2349, 3300, 4457, 6042, 6583, 7966, 895, 1975, 2142, 3434, 4440, 5725, 6761, 7815, 1067, 1337, 2142, 3216, 4461, 5466, 6426, 7574, 404, 1108, 2629, 3265, 4911, 5700, 6600, 7414, 113, 1119, 2615, 3517, 4739, 5557, 6520, 7528, 668, 1881, 2432, 3792, 4457, 5782, 6403, 7581, 692, 1828, 2874, 3265, 4920, 6124, 6480, 8228, 1084, 1828, 3145, 3413, 4804, 5985, 6251, 7676, 693, 1828, 2511, 3771, 4339, 5557, 6957, 7571, 888, 1828, 2154, 3413, 5109, 5871, 6805, 7394, 1084, 1828, 2929, 3741, 4461, 5449, 7063, 7844, 693, 1828, 2801, 3687, 4607, 5263, 6614, 7737, 1017, 1108, 2349, 3714, 4796, 5415, 6973, 7904, 730, 1489, 2848, 3375, 4736, 6002, 6637, 7966, 113, 1884, 2349, 3820, 4858, 5782, 6775, 8120, 339, 1884, 2349, 3481, 4258, 5729, 6530, 8039, 730, 2107, 2741, 3262, 5070, 5954, 6751, 7808, 1041, 2009, 2378, 3605, 4899, 6122, 6372, 8164, 840, 1510, 2751, 3790, 4919, 5732, 7004, 7405, 1084, 2036, 2438, 3751, 4573, 5906, 7108, 7898, 1062, 1932, 3103, 3735, 4350, 5569, 7043, 8254, 308, 1847, 2326, 3751, 4327, 5963, 7085, 7899, 935, 1963, 2834, 4145, 5159, 6129, 6584, 7437, 186, 2111, 3135, 3803, 4287, 5963, 7239, 7421, 935, 1620, 2834, 4011, 5038, 6175, 6786, 7949, 935, 2017, 2803, 3891, 5129, 5883, 7239, 7949, 555, 2111, 2806, 4018, 5038, 5705, 7201, 8179, 555, 1528, 2730, 3914, 4792, 6070, 6972, 7949, 859, 2111, 2164, 3566, 4529, 5901, 7003, 8066, 552, 1490, 3021, 4166, 5138, 5515, 7077, 7563, 859, 1468, 2340, 3550, 5138, 5385, 6752, 8126, 859, 1490, 2918, 3550, 4512, 6175, 7090, 7732, 105, 2106, 2487, 3857, 5127, 5493, 6338, 7643, 859, 2127, 2833, 4068, 4888, 6205, 6338, 8061, 859, 2111, 2858, 3550, 5138, 5246, 6752, 7723, 859, 1750, 2970, 3550, 4622, 5811, 6996, 7865, 4, 2 ]

[ 1, 30, 63, 11, 62, 5, 44, 54, 5, 16, 54, 30, 5, 64, 48, 5, 17, 64, 5, 5, 5, 76, 45, 52, 5, 77, 73, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4624, 6186, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6081, 7226, 7766, 818, 1622, 2957, 3893, 4980, 5635, 7239, 7723, 153, 2111, 3075, 3975, 5060, 5219, 6709, 8179, 874, 1373, 2904, 3358, 4651, 6168, 7140, 8240, 691, 1889, 3026, 3798, 4392, 5546, 6632, 8150, 993, 1758, 3034, 4094, 5020, 5479, 7120, 8236, 993, 1291, 2376, 3939, 4741, 6078, 7040, 7555, 449, 1655, 2689, 3695, 4413, 6101, 6878, 8063, 584, 1151, 2565, 3910, 4507, 5541, 6797, 7740, 1030, 1339, 3023, 3799, 4612, 5443, 7199, 8058, 880, 1454, 2822, 3770, 4778, 5595, 6306, 7649, 778, 1975, 2275, 3366, 4305, 5479, 6284, 7981, 508, 1220, 2805, 3287, 4547, 5311, 7032, 7607, 571, 1455, 2860, 3453, 4801, 5327, 6408, 8151, 984, 1675, 2695, 4164, 4287, 5994, 6996, 7768, 450, 2073, 2192, 4059, 4691, 5661, 6630, 8260, 984, 2073, 2363, 3516, 5038, 5534, 7168, 7290, 132, 1218, 2984, 3226, 5038, 5834, 7168, 7631, 617, 2073, 2709, 3352, 5096, 5650, 6852, 7949, 536, 1510, 2629, 3314, 4945, 6168, 6628, 7826, 511, 1842, 2987, 3970, 4468, 5664, 6661, 7533, 511, 1652, 2222, 3601, 4447, 5255, 6721, 7694, 511, 1652, 2311, 3300, 4538, 5734, 6566, 7643, 992, 1652, 3080, 3727, 4939, 5351, 6813, 7643, 1003, 1244, 2897, 3533, 5151, 5966, 7173, 7967, 1067, 1600, 3097, 4155, 4458, 6010, 6890, 8031, 692, 1886, 2420, 3578, 4780, 5547, 7103, 8229, 862, 1797, 2653, 3930, 4376, 6194, 7096, 7902, 862, 2024, 3092, 4034, 5135, 5584, 7246, 7964, 864, 1695, 2708, 4022, 4761, 5698, 6283, 7363, 620, 1566, 2727, 3277, 4921, 5521, 6393, 8129, 938, 2000, 2987, 4155, 4642, 6096, 6918, 7567, 970, 1302, 2175, 3776, 4602, 5433, 6337, 8041, 1081, 1778, 2429, 3752, 4310, 5740, 7060, 7821, 304, 2009, 2154, 3961, 4912, 5527, 6972, 7631, 899, 1485, 2587, 4026, 5159, 5883, 7120, 7563, 127, 1971, 2473, 3555, 4589, 5844, 6898, 7487, 127, 1992, 3028, 3391, 5058, 5514, 7103, 7477, 518, 1756, 3064, 3518, 5134, 6106, 6704, 8092, 518, 1570, 2860, 4111, 5135, 5580, 6338, 8260, 518, 2111, 3048, 3550, 4622, 6000, 7168, 8179, 518, 2111, 2904, 3891, 4755, 6171, 7006, 7509, 256, 2111, 2251, 3364, 4870, 5677, 7230, 7557, 663, 1206, 2598, 3982, 5083, 5413, 6338, 7490, 722, 1411, 2594, 4026, 5073, 5953, 6581, 7717, 807, 1164, 2359, 3695, 4715, 6204, 6921, 8190, 1023, 1550, 2543, 3770, 4519, 5875, 7072, 7835, 314, 1550, 2242, 3323, 5001, 5793, 6343, 8077, 807, 1708, 2426, 4082, 5040, 5787, 6820, 8017, 465, 1782, 2346, 3689, 4364, 5727, 6547, 8207, 487, 1561, 2250, 3869, 5135, 5770, 6998, 7442, 487, 1561, 2474, 3764, 4996, 6154, 7051, 7987, 487, 2114, 2348, 3695, 4427, 5443, 6763, 7438, 495, 1832, 2346, 3613, 4920, 6007, 6387, 7673, 992, 1732, 2732, 3939, 4330, 5350, 6670, 7873, 938, 1570, 2751, 3356, 4435, 5350, 6726, 8006, 1024, 1570, 2520, 3394, 4555, 5500, 6965, 7261, 970, 1570, 2436, 3581, 4792, 5347, 7100, 7838, 899, 1171, 2154, 3485, 5115, 5981, 7125, 7279, 225, 1396, 2976, 3788, 5150, 5899, 6713, 7588, 228, 1525, 2870, 3363, 4808, 5350, 6627, 7528, 317, 1596, 2736, 3900, 4916, 5658, 6776, 7878, 183, 1547, 3026, 3994, 4870, 6103, 6671, 8132, 757, 1644, 2858, 3695, 4214, 6009, 7147, 7880, 105, 1545, 2564, 3566, 5088, 6205, 6291, 8206, 484, 1175, 3021, 3407, 5088, 5586, 6668, 8179, 956, 1705, 3006, 4006, 4287, 5705, 7100, 7918, 304, 1668, 3108, 4039, 4822, 5612, 7230, 7664, 685, 1178, 2128, 4168, 4537, 5471, 6260, 7875, 266, 2009, 2743, 3986, 5005, 6010, 6458, 8074, 737, 1531, 3018, 3232, 4415, 5481, 6434, 8128, 557, 1299, 2429, 3286, 4298, 5648, 6280, 7638, 462, 1283, 2161, 3745, 4432, 5886, 6481, 7510, 1004, 1397, 2490, 3720, 4723, 5353, 6315, 7430, 737, 1915, 2529, 3708, 4386, 5568, 6449, 8012, 363, 1695, 2490, 3182, 4321, 5224, 6916, 7880, 1101, 2058, 2872, 3316, 4321, 5601, 6422, 7757, 1025, 1695, 2817, 4005, 4852, 5331, 6626, 8049, 103, 1682, 2858, 3785, 4953, 5978, 6752, 7906, 448, 1834, 2250, 3720, 4756, 5981, 6579, 7881, 487, 1562, 2548, 3358, 4804, 5216, 7087, 7530, 363, 1586, 2655, 3540, 4920, 5601, 6334, 7704, 1009, 1586, 2655, 3992, 4687, 5584, 7182, 7495, 234, 1323, 2987, 3323, 5171, 5584, 7241, 8151, 862, 1880, 2658, 3913, 4934, 5975, 6440, 7881, 1080, 1309, 2564, 4142, 4729, 5678, 6883, 8241, 668, 1435, 2281, 3775, 5176, 5640, 6883, 7616, 1088, 1267, 2937, 3410, 5020, 5863, 6811, 7473, 970, 1399, 2134, 3918, 4351, 5567, 6333, 7631, 401, 1280, 2959, 3669, 4713, 6116, 6569, 7831, 804, 1175, 2985, 4085, 4297, 5883, 7095, 7494, 186, 1467, 2775, 4093, 5139, 6211, 6774, 8237, 984, 2024, 2991, 4108, 5166, 5832, 6588, 7421, 935, 1992, 3006, 3866, 5058, 5219, 6515, 8260, 186, 1856, 2991, 3710, 5104, 5219, 7006, 7806, 186, 2017, 2164, 3893, 5165, 5630, 7218, 7723, 859, 1847, 2833, 3891, 4287, 5811, 7120, 8185, 555, 1648, 2775, 4171, 5166, 5515, 7239, 7831, 555, 2111, 2858, 3827, 4630, 5219, 6752, 8185, 555, 2111, 3021, 3391, 4512, 5413, 7201, 8185, 555, 1528, 3021, 3391, 4782, 5550, 7201, 8179, 555, 1648, 3021, 3391, 4870, 5550, 7077, 8237, 859, 1468, 2775, 4171, 4890, 6103, 7239, 7732, 555, 1586, 2356, 3183, 5159, 5493, 7069, 8076, 859, 1468, 2833, 4166, 4888, 6163, 7152, 8126, 555, 2111, 2858, 4166, 5079, 5635, 6515, 7831, 859, 1468, 2833, 4166, 4681, 5550, 7207, 8076, 859, 1468, 2833, 4166, 4681, 5550, 7090, 7706, 555, 1876, 2858, 3827, 4870, 5219, 7090, 8237, 555, 2111, 2858, 4006, 4681, 5901, 7077, 7664, 4, 2 ]

[ 1, 16, 54, 30, 5, 76, 33, 54, 5, 31, 39, 5, 43, 14, 30, 5, 30, 45, 52, 16, 50, 16, 54, 66, 52, 47, 5, 51, 16, 54, 64, 45, 30, 35, 30, 5, 31, 33, 53, 5, 20, 52, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3893, 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, 2017, 3065, 3893, 4798, 5635, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 915, 1528, 3065, 4145, 4870, 6139, 6996, 7641, 475, 1684, 2941, 4145, 4681, 6129, 7006, 7887, 223, 1397, 2669, 3669, 5139, 5438, 7184, 7716, 1066, 1421, 2750, 3568, 4800, 5216, 6442, 7419, 970, 1510, 2313, 3823, 4716, 5869, 6976, 7291, 663, 1463, 2129, 3929, 5088, 6000, 6901, 7277, 424, 1747, 3098, 3917, 4451, 5899, 7207, 7918, 1025, 1399, 2222, 3885, 5104, 5641, 6566, 8066, 424, 1275, 2783, 3307, 4318, 6120, 6709, 7664, 850, 1676, 2480, 3773, 4717, 6131, 6265, 7676, 610, 1577, 2515, 3832, 5063, 5868, 6377, 8137, 536, 1810, 2209, 3414, 4308, 5942, 7086, 8210, 850, 1867, 2506, 4167, 4413, 5611, 7222, 8264, 774, 1125, 2173, 3986, 4799, 5918, 6244, 7383, 1034, 1828, 2491, 3714, 5111, 5799, 6944, 7987, 493, 1828, 2187, 3895, 5031, 5745, 6521, 8143, 902, 1137, 2888, 4015, 4875, 6125, 6700, 7736, 211, 1146, 2293, 3732, 4776, 5933, 7229, 7461, 778, 1255, 2213, 3728, 5072, 5899, 7207, 8231, 104, 1717, 2515, 3471, 4859, 5869, 6376, 7607, 1025, 1797, 2163, 3430, 4458, 5616, 6226, 7834, 778, 1797, 2429, 3237, 4374, 5976, 6335, 7542, 462, 1557, 3145, 3418, 4541, 6034, 6680, 7537, 480, 1283, 2580, 3370, 4636, 5317, 6929, 7772, 631, 1695, 2244, 4010, 4431, 5443, 6337, 7537, 221, 1397, 2265, 4149, 5045, 6101, 6444, 7861, 491, 1621, 2610, 3714, 5142, 5934, 6401, 7997, 1040, 1112, 2751, 3337, 4884, 5273, 6603, 8132, 217, 1369, 2593, 3307, 4439, 5403, 7019, 7623, 410, 1663, 3029, 3337, 4183, 5750, 7143, 7466, 572, 1454, 2579, 4158, 4995, 5781, 6603, 7827, 1049, 1518, 2294, 4079, 4949, 6007, 6552, 8086, 113, 1684, 2245, 3181, 4620, 5474, 6632, 7839, 339, 1971, 3116, 3307, 5096, 5962, 6741, 7415, 793, 1951, 2810, 3762, 4539, 5847, 6255, 7693, 992, 1494, 2653, 3543, 5097, 5370, 6884, 7820, 1025, 1732, 2312, 3734, 5118, 5706, 6660, 7262, 512, 1827, 2729, 3962, 4592, 5687, 7129, 7570, 308, 1212, 2326, 3955, 4501, 5439, 7201, 7716, 779, 1620, 3007, 3918, 4551, 5661, 7207, 7631, 709, 1827, 2534, 3361, 4985, 5911, 7149, 8066, 684, 2046, 2924, 4152, 4630, 5340, 7077, 8076, 390, 1705, 2291, 3803, 4551, 6014, 6972, 8195, 308, 1238, 2783, 3516, 4589, 6085, 6972, 7949, 1037, 1534, 3043, 4135, 5159, 6014, 7132, 7557, 308, 1218, 2582, 3886, 4583, 6103, 7010, 8260, 541, 1963, 2751, 3602, 4901, 5474, 6909, 7607, 881, 1164, 2486, 3964, 4995, 5320, 6443, 7753, 994, 1388, 2751, 3385, 4701, 5960, 7167, 8060, 137, 1636, 2594, 4045, 4448, 5370, 6838, 7864, 1019, 1472, 2474, 3602, 4459, 5778, 6293, 7858, 994, 1826, 3029, 3869, 4819, 6078, 7158, 7888, 664, 1440, 2869, 3936, 4185, 5251, 6335, 8190, 137, 2050, 2497, 3536, 4539, 5938, 7026, 8238, 271, 1912, 3040, 3451, 4609, 5907, 7240, 8117, 826, 1261, 2846, 3421, 4195, 5615, 6648, 8075, 404, 1299, 2173, 3934, 4308, 6002, 7230, 8056, 104, 1975, 2832, 3380, 4887, 5454, 6828, 7833, 993, 1617, 2867, 4038, 4604, 5738, 6570, 7602, 668, 1472, 2348, 3611, 4316, 5691, 6903, 8139, 862, 1397, 2156, 3446, 4267, 5400, 6815, 7975, 672, 1286, 2728, 4037, 5084, 5490, 6458, 7313, 722, 1639, 2717, 3241, 4849, 6135, 6832, 7534, 356, 1919, 2832, 3904, 5110, 5481, 6265, 7778, 288, 1623, 2924, 3566, 4604, 6103, 7188, 7568, 757, 1873, 2212, 3850, 4437, 5824, 6426, 7920, 225, 1461, 2944, 3916, 4762, 5933, 7157, 7748, 715, 1623, 2542, 3424, 4458, 5745, 6607, 7740, 1020, 1919, 2401, 3615, 4996, 6014, 6458, 8117, 952, 2117, 2687, 3446, 4804, 6181, 6863, 8262, 113, 1553, 2656, 3751, 4604, 5771, 6410, 7898, 535, 1255, 3029, 3351, 4676, 5212, 6536, 7995, 535, 1255, 3029, 3755, 4644, 6117, 6686, 7547, 952, 1881, 2348, 3517, 5127, 5366, 7229, 7899, 304, 1978, 2895, 3521, 4423, 5614, 6736, 7848, 304, 1721, 2924, 3873, 5106, 6195, 7149, 8107, 304, 2079, 3095, 3226, 4573, 6103, 6774, 7949, 804, 2046, 2946, 3488, 5183, 5630, 6771, 7528, 1097, 1705, 2781, 4113, 4583, 6131, 7120, 7421, 1056, 2084, 2440, 3277, 4287, 5548, 6979, 7965, 475, 2000, 3043, 4145, 4782, 5219, 6668, 7715, 288, 1933, 2340, 3225, 4993, 5630, 6723, 7992, 568, 1991, 2380, 3994, 5091, 6208, 6895, 7515, 401, 1400, 2970, 3880, 5139, 6058, 6749, 8085, 150, 1499, 2248, 3486, 4215, 5491, 7099, 7487, 271, 1503, 2842, 4055, 4983, 6024, 6847, 8117, 739, 1346, 2561, 3345, 4776, 5339, 6404, 7490, 900, 1266, 3097, 3238, 4542, 5557, 6627, 7892, 363, 1695, 2439, 4015, 4526, 6119, 6813, 8149, 884, 1695, 3037, 3329, 4642, 5344, 7140, 7532, 807, 1280, 3116, 3908, 4399, 5925, 6612, 7885, 487, 1302, 2830, 4162, 5043, 6135, 7078, 7261, 103, 1777, 2387, 3975, 4881, 5870, 6448, 7381, 512, 1620, 2803, 3873, 4510, 6028, 6919, 7834, 510, 1998, 3021, 4018, 4822, 5705, 7207, 8260, 859, 2000, 2746, 3226, 4890, 6211, 7100, 7887, 440, 2097, 3021, 4095, 4374, 6048, 6281, 8164, 165, 1461, 3010, 4045, 5183, 5951, 6876, 7458, 512, 1945, 2516, 4124, 4199, 5752, 6280, 7992, 223, 1175, 2960, 4145, 4489, 6007, 7119, 8154, 1023, 1424, 2750, 3565, 5198, 6022, 6449, 7546, 314, 1286, 2271, 3217, 4308, 5970, 7026, 7740, 335, 1777, 2313, 3771, 4529, 5976, 6911, 7303, 650, 1591, 2279, 3956, 4266, 5978, 6419, 7574, 1025, 1773, 3145, 3771, 4444, 5413, 7160, 7973, 955, 1708, 2440, 4030, 5083, 6123, 6998, 7421, 308, 1856, 3008, 4096, 4877, 5825, 7098, 7421, 1014, 2034, 2991, 3248, 4589, 5419, 6765, 7538, 127, 2002, 2803, 3470, 5080, 5590, 7160, 8130, 654, 2106, 3139, 3891, 4398, 6149, 7056, 7485, 654, 1286, 2469, 4083, 4398, 5515, 7167, 8073, 225, 1286, 2424, 3227, 5125, 5713, 7132, 8262, 757, 1332, 2282, 3955, 4890, 5778, 6412, 8036, 552, 1804, 2729, 3292, 4512, 6211, 6980, 7563, 1033, 1620, 2271, 3975, 5085, 5705, 7162, 7677, 884, 2055, 2327, 3323, 4887, 5490, 6824, 7691, 936, 1349, 2346, 3623, 4834, 5828, 7069, 7828, 936, 1557, 2725, 3962, 4539, 5884, 6478, 7888, 271, 1533, 2725, 3582, 4945, 5893, 6995, 7930, 610, 1826, 2492, 4067, 4999, 5325, 6340, 7519, 1057, 1826, 2688, 3390, 4321, 5362, 6974, 7279, 902, 2036, 3049, 3543, 4288, 5631, 6224, 7931, 462, 1557, 2330, 3845, 4321, 5804, 7009, 7848, 1101, 1820, 2724, 3446, 4588, 5660, 6997, 7383, 363, 1812, 2343, 4137, 4627, 5993, 6681, 7873, 504, 1368, 2225, 3307, 4419, 6118, 6461, 8240, 288, 1966, 2163, 3848, 4859, 5901, 6901, 7948, 308, 1915, 2754, 3932, 4822, 5565, 6265, 7919, 955, 1915, 2975, 3472, 5058, 5890, 6668, 8130, 955, 1915, 2996, 3975, 4551, 5219, 6996, 7876, 955, 2000, 2340, 3516, 4691, 5219, 7217, 7677, 942, 1721, 2163, 3376, 4752, 5344, 6771, 7768, 884, 1356, 3091, 3273, 4542, 5752, 6522, 8140, 728, 2061, 2265, 4128, 5075, 5742, 6919, 7797, 360, 1363, 3040, 3520, 4901, 5205, 7185, 7799, 547, 1302, 3103, 3425, 4492, 6174, 6373, 8056, 942, 1972, 2661, 3425, 5181, 5410, 7211, 8141, 223, 1141, 2519, 3910, 5072, 6160, 7086, 7981, 767, 1562, 2250, 3575, 5152, 5979, 7129, 7508, 731, 2073, 2945, 3732, 4731, 6131, 6517, 8054, 223, 1167, 2440, 3901, 4670, 5903, 6681, 7312, 752, 2001, 2256, 4087, 5109, 5572, 7047, 7898, 840, 1270, 2647, 3464, 4582, 5437, 6351, 7476, 1067, 1670, 2819, 3495, 4865, 5796, 7155, 8269, 271, 2120, 2749, 3859, 4752, 5567, 6426, 8024, 271, 2050, 3030, 3347, 4273, 5598, 6941, 7598, 895, 1166, 2415, 3498, 4273, 5404, 6269, 7853, 895, 1757, 2225, 3567, 5177, 5614, 6470, 7408, 895, 1757, 2173, 3707, 5108, 5360, 6458, 8146, 895, 1478, 2605, 4128, 5195, 5722, 6592, 7384, 876, 1897, 2956, 4128, 4208, 6074, 6243, 7704, 1008, 1104, 2597, 3205, 4910, 5491, 6891, 7808, 1008, 1270, 3034, 3205, 4910, 5794, 6795, 7676, 1008, 1728, 3112, 4128, 4674, 5838, 6411, 7628, 83, 1873, 2173, 3953, 4880, 6016, 7035, 7918, 344, 2009, 2325, 3880, 4321, 6088, 6521, 7367, 277, 1679, 2693, 3979, 4321, 5785, 6533, 7426, 436, 1440, 2241, 3252, 4321, 5722, 6797, 7828, 876, 1469, 2974, 4126, 4321, 5710, 6775, 7394, 876, 1469, 2974, 4091, 4911, 6190, 6789, 8249, 876, 1630, 2173, 3567, 4321, 5966, 6733, 8072, 1001, 1630, 2849, 3281, 4595, 5506, 7073, 8018, 1025, 1955, 2508, 3496, 4274, 5741, 6787, 7836, 1016, 2079, 2534, 3836, 5068, 5794, 7025, 8164, 390, 2088, 3006, 3334, 4487, 5630, 6515, 7768, 1097, 2073, 3110, 4018, 4861, 5883, 7023, 8237, 935, 2000, 3128, 4041, 4287, 5694, 7218, 8267, 1099, 2000, 3095, 3886, 5080, 5832, 6588, 8076, 186, 2000, 2167, 3891, 4704, 6103, 6972, 7723, 552, 2065, 2970, 4166, 4888, 5550, 7100, 7806, 484, 1648, 2970, 3891, 4888, 6081, 7218, 8261, 4, 2 ]

[ 1, 75, 33, 63, 47, 16, 64, 5, 77, 72, 66, 33, 54, 64, 16, 52, 78, 5, 17, 75, 5, 43, 17, 78, 28, 16, 54, 30, 63, 47, 5, 5, 3, 390, 1660, 2678, 3819, 4229, 5549, 6764, 8016, 779, 1953, 2473, 3776, 4912, 5832, 7207, 7476, 952, 1452, 2868, 4026, 4468, 5314, 7154, 7592, 886, 1832, 2788, 3605, 5026, 5285, 6929, 8000, 1019, 1494, 2987, 3392, 4344, 5974, 6443, 7878, 672, 1283, 2803, 3751, 4636, 5889, 6224, 7983, 994, 1494, 2379, 3315, 5031, 5578, 7169, 7932, 994, 1707, 2260, 4107, 4367, 6034, 6465, 8203, 994, 1808, 2260, 3751, 4539, 5298, 6729, 7693, 994, 1808, 2260, 3315, 5103, 5800, 6731, 8200, 737, 2070, 2748, 3751, 4665, 6135, 6518, 8007, 1019, 1808, 2506, 3845, 4578, 5852, 6927, 7451, 1019, 1990, 2665, 3623, 5062, 5500, 6893, 8178, 1019, 1644, 2506, 3568, 4723, 6194, 6426, 7857, 992, 2109, 2218, 4021, 4776, 5325, 7021, 8048, 1057, 1730, 2378, 4067, 5065, 5725, 6348, 8061, 840, 1886, 2132, 3745, 5134, 5655, 6585, 7894, 404, 2036, 2142, 3769, 4562, 5589, 6932, 7633, 536, 1326, 2400, 3368, 5050, 6066, 6800, 8149, 536, 1806, 2400, 3880, 4921, 6135, 6531, 7793, 807, 1421, 2506, 3437, 4525, 5512, 6615, 7934, 807, 1773, 3052, 3437, 4565, 6135, 7053, 8100, 807, 1296, 3052, 3502, 4804, 6135, 7157, 7929, 646, 1806, 2470, 3643, 4701, 6135, 7149, 7549, 487, 1561, 2893, 3762, 4604, 6135, 6874, 8132, 487, 2052, 2258, 3576, 4934, 5441, 6672, 7379, 1038, 1397, 2759, 3885, 4364, 6067, 7068, 7710, 137, 1771, 2156, 3261, 5109, 6147, 6925, 7790, 692, 1826, 3106, 3824, 4288, 5810, 7135, 7699, 715, 1489, 2238, 3233, 5079, 5790, 6312, 8079, 225, 1773, 2335, 3749, 4267, 5532, 7247, 7293, 654, 1550, 2904, 4094, 4777, 5223, 6849, 8248, 518, 2126, 2221, 3885, 4926, 5998, 6296, 8237, 568, 1756, 2415, 4047, 4228, 5998, 7041, 7821, 183, 1684, 2473, 3595, 5079, 5761, 6871, 7846, 617, 1550, 3062, 3955, 5061, 6110, 6884, 7563, 859, 1876, 2554, 4068, 5120, 6149, 7129, 8239, 512, 1876, 3006, 3918, 5139, 5216, 6889, 7557, 731, 1206, 2426, 4064, 4665, 6024, 6963, 7474, 271, 2058, 2543, 3986, 4720, 5366, 7103, 7321, 936, 2058, 2610, 3472, 4694, 5472, 6924, 7959, 271, 2079, 2565, 3788, 4269, 6135, 6592, 8128, 1025, 1171, 2565, 4143, 4224, 5884, 6894, 7277, 1025, 1682, 2554, 3832, 5122, 5504, 6962, 8241, 1090, 2002, 2315, 3936, 4954, 5422, 6649, 8137, 956, 1676, 2167, 3602, 4872, 5210, 6752, 8080, 488, 1945, 3110, 4170, 4822, 5832, 7084, 7782, 818, 1675, 2880, 4068, 4551, 5705, 6979, 8083, 510, 1508, 3135, 3886, 4870, 6129, 7120, 7723, 510, 1998, 3135, 3516, 4980, 5767, 6786, 7723, 1020, 1286, 2854, 3550, 4184, 6141, 6310, 7312, 699, 2108, 3033, 3420, 4671, 5289, 7115, 7638, 183, 1684, 3000, 3994, 5097, 6149, 6605, 7816, 955, 1403, 2944, 4153, 4423, 5883, 6588, 7298, 492, 1112, 2596, 3778, 5016, 5568, 6325, 7303, 326, 1728, 2332, 4072, 4461, 5776, 7065, 7983, 247, 1636, 2689, 3566, 4310, 5574, 6828, 7661, 936, 1938, 2261, 3751, 5094, 5557, 7140, 8230, 936, 1773, 2953, 4030, 4310, 5863, 6965, 7473, 1025, 1399, 3003, 3495, 4887, 5963, 6377, 8227, 1025, 1952, 2678, 4027, 4991, 5565, 6850, 7811, 1025, 1238, 2244, 3771, 5153, 5765, 7158, 7821, 610, 1238, 2678, 3390, 4575, 5320, 7047, 7878, 610, 2048, 3033, 3932, 4533, 5687, 6677, 7846, 1056, 1581, 2652, 3955, 4387, 5216, 6979, 7720, 543, 1945, 2315, 3391, 5072, 5610, 6614, 7260, 654, 1695, 3091, 4011, 5085, 5296, 6291, 8237, 654, 1635, 2885, 3350, 5157, 5883, 6333, 7355, 228, 1620, 2355, 3798, 5135, 5413, 6889, 7494, 518, 1756, 2980, 3348, 4307, 5578, 7024, 7865, 518, 1864, 2560, 3552, 4522, 6123, 6486, 7887, 183, 1386, 2221, 4068, 4762, 5556, 7010, 7867, 356, 2065, 2309, 4018, 4654, 6137, 6988, 8001, 391, 1509, 2794, 3981, 4861, 5514, 6823, 8134, 784, 1199, 2313, 3475, 5160, 6120, 7043, 8026, 504, 2050, 2939, 3438, 4930, 5865, 6283, 8021, 643, 2050, 3050, 4165, 5042, 5708, 7221, 7916, 504, 1305, 2450, 3263, 4887, 5357, 7060, 7521, 643, 1682, 2707, 3600, 5036, 5221, 6335, 7253, 504, 1407, 2393, 3876, 4595, 5685, 6646, 7400, 643, 1833, 2803, 3167, 4887, 5862, 6772, 7405, 1081, 1630, 2313, 3894, 4310, 5935, 7140, 7502, 1025, 1248, 2540, 3999, 4941, 5700, 6775, 7421, 440, 1554, 2783, 3793, 4288, 5896, 6449, 7957, 240, 1494, 2497, 3983, 4881, 5873, 6768, 7248, 240, 1116, 2554, 3649, 4764, 5873, 7103, 7816, 518, 1519, 2654, 3865, 4374, 5565, 6730, 7930, 952, 1596, 3026, 3599, 4734, 5863, 6348, 8253, 1029, 1773, 2561, 4128, 4635, 5239, 6510, 8248, 386, 1509, 3033, 3526, 4337, 5954, 7139, 7393, 504, 1531, 2384, 3201, 4725, 5250, 6748, 8239, 1025, 1865, 3112, 4150, 4942, 5631, 7230, 8132, 390, 2001, 3008, 3480, 4792, 5523, 6551, 7586, 899, 1675, 3064, 4174, 4398, 5968, 7100, 8195, 757, 1649, 3062, 4068, 4995, 5534, 6612, 8227, 1102, 1468, 2652, 3603, 4900, 5565, 6791, 7717, 373, 1660, 2975, 3398, 5150, 6101, 7114, 8248, 1071, 1463, 2352, 4081, 5153, 5678, 7010, 7439, 1071, 1924, 3150, 4152, 5078, 6204, 6675, 7527, 840, 1496, 2314, 3721, 4455, 5893, 6616, 8253, 840, 1496, 2163, 3187, 4953, 5606, 6683, 7678, 840, 2055, 2455, 3187, 4766, 5298, 6334, 7759, 1067, 2059, 2261, 3434, 4434, 5419, 7035, 7846, 884, 1507, 2175, 3486, 5001, 5325, 6367, 8212, 1025, 1828, 2503, 3568, 4282, 5694, 6530, 7720, 576, 1463, 2492, 3205, 4364, 6180, 6962, 7965, 228, 1675, 3091, 3771, 4337, 5933, 6909, 7367, 756, 1923, 2801, 3949, 4412, 5259, 6603, 7957, 1099, 1876, 2250, 3951, 4813, 6033, 7132, 7706, 804, 2063, 2729, 3917, 4611, 5963, 6551, 7965, 512, 1620, 2960, 3540, 5058, 5661, 6752, 7723, 308, 1791, 2838, 3348, 4877, 6195, 6938, 7677, 211, 1881, 2254, 3226, 5038, 5514, 7220, 7723, 211, 1620, 2381, 4097, 5104, 5534, 7019, 7949, 725, 1774, 2678, 4117, 4998, 6141, 7165, 8252, 895, 1510, 2579, 3452, 5065, 6206, 6674, 7880, 299, 1510, 2225, 3392, 4364, 6135, 6674, 7795, 887, 1252, 3106, 4137, 4225, 5579, 6890, 7811, 1025, 1797, 2994, 3908, 4586, 5993, 6809, 7641, 826, 1676, 2750, 4030, 4672, 6070, 6810, 8143, 778, 1721, 2750, 3962, 4191, 6002, 6818, 8188, 887, 1860, 2750, 3962, 4467, 5586, 7019, 7962, 104, 1773, 2312, 4145, 4287, 6070, 6736, 8069, 1025, 1182, 3033, 4041, 5145, 5539, 6710, 7887, 610, 1238, 3033, 3229, 4359, 6103, 7090, 7367, 1056, 2107, 2436, 3710, 4429, 5616, 7019, 7602, 617, 1796, 2629, 4145, 4792, 5899, 7095, 7877, 421, 2079, 2656, 3749, 4352, 6201, 6715, 7288, 495, 1141, 2555, 3511, 4423, 5890, 6623, 7421, 1057, 1463, 2462, 4101, 4224, 5694, 7223, 7855, 1084, 1972, 3033, 3741, 4527, 5536, 6611, 7404, 113, 1415, 2656, 4094, 4951, 5279, 6928, 7800, 1057, 1640, 3026, 4070, 4943, 5474, 6762, 7844, 895, 1244, 2848, 3324, 4723, 5829, 6934, 7920, 1019, 2107, 2693, 3687, 4636, 5490, 6426, 8189, 884, 1640, 3032, 3605, 4776, 5325, 6847, 7896, 137, 1732, 2534, 3605, 4321, 5621, 7150, 7658, 876, 1553, 2566, 3741, 4218, 5438, 6716, 8149, 1019, 1388, 2751, 4073, 4878, 5301, 6944, 8110, 1074, 1808, 2818, 3605, 4591, 5283, 6883, 7531, 880, 1942, 2850, 3751, 4706, 5637, 6663, 7337, 487, 2045, 2258, 3751, 4604, 5208, 7175, 8133, 103, 1581, 2494, 3792, 4350, 5775, 6708, 8140, 1090, 1692, 2315, 3371, 5138, 5810, 6675, 7545, 804, 2125, 2989, 3363, 5053, 5280, 6671, 8061, 859, 1218, 2432, 4085, 5159, 5937, 7207, 7627, 186, 1147, 2895, 4018, 4980, 5210, 7207, 8076, 818, 1648, 3135, 3825, 4681, 5901, 7084, 8083, 818, 1648, 2914, 3827, 4624, 6139, 6589, 7766, 555, 2017, 2970, 3893, 4798, 5767, 7226, 8223, 555, 1304, 2970, 3914, 4287, 6149, 7077, 8267, 617, 1750, 3147, 3931, 5159, 5385, 7218, 7563, 105, 2106, 2941, 3391, 4870, 6149, 6612, 7715, 105, 2106, 2833, 4125, 4512, 5514, 6988, 8061, 617, 1289, 2833, 3564, 4555, 5385, 6612, 8080, 617, 1289, 2833, 3891, 5079, 5241, 6740, 7641, 859, 1304, 2833, 3425, 4555, 5241, 6584, 7770, 617, 1468, 2833, 3873, 5159, 5624, 6840, 8126, 617, 1750, 2775, 3391, 4583, 5296, 6589, 7677, 617, 1684, 2554, 3856, 4555, 5548, 6605, 7865, 617, 1750, 3143, 3391, 4762, 5385, 6810, 8261, 617, 1468, 3143, 4096, 5060, 6081, 6612, 8061, 617, 1695, 2959, 4092, 4681, 5981, 6612, 7723, 617, 1289, 2833, 4124, 4267, 5515, 6515, 8033, 617, 1974, 2833, 3552, 4681, 6175, 6808, 8164, 617, 1750, 2970, 3857, 5160, 5586, 6584, 7838, 4, 2 ]

[ 1, 31, 14, 66, 5, 31, 33, 63, 5, 76, 11, 78, 5, 54, 57, 5, 51, 76, 33, 64, 29, 16, 54, 5, 17, 75, 5, 16, 5, 51, 11, 54, 41, 52, 44, 51, 66, 5, 14, 66, 5, 20, 52, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 818, 1844, 2164, 3367, 4798, 5635, 7006, 7766, 789, 1490, 2941, 3914, 4870, 5413, 6809, 8261, 440, 2008, 2953, 3891, 4813, 5823, 7163, 8253, 769, 1426, 2151, 3788, 4602, 6003, 7126, 7896, 893, 2092, 2953, 3370, 5138, 5265, 6864, 8046, 708, 1368, 2316, 3819, 4826, 5276, 7055, 8046, 776, 1878, 3130, 3595, 4927, 5923, 6744, 7991, 488, 1945, 2960, 3866, 4366, 5901, 7084, 8267, 555, 1963, 3110, 4114, 5129, 5219, 6604, 8260, 878, 2098, 2542, 3680, 4859, 5594, 7114, 7555, 901, 1176, 2924, 3239, 5135, 5767, 6966, 7809, 715, 1509, 2629, 4146, 4724, 6180, 6986, 7487, 216, 2016, 2940, 3766, 5020, 5950, 6313, 8028, 685, 2095, 2163, 4073, 4844, 5715, 6840, 7602, 643, 1982, 2659, 3251, 4707, 5348, 7069, 7260, 1081, 2033, 2860, 3376, 5012, 5966, 7085, 7480, 1081, 2048, 2730, 3487, 4374, 6070, 6633, 7887, 610, 1716, 3135, 4113, 4621, 6051, 6903, 8252, 211, 1930, 2503, 3229, 4374, 6131, 6331, 8016, 1081, 1682, 2154, 3430, 4555, 5765, 7156, 7270, 150, 1596, 2678, 3233, 4859, 5508, 7017, 7748, 504, 2011, 2348, 3789, 5092, 5444, 7106, 7701, 610, 2048, 2188, 3880, 4446, 5678, 6830, 8158, 225, 1171, 2820, 4026, 4641, 5454, 6872, 7795, 225, 1116, 2561, 4125, 4371, 6118, 7241, 8212, 240, 1468, 2771, 3313, 5157, 6050, 6840, 7492, 663, 2012, 2925, 3394, 4437, 5481, 6860, 8185, 980, 2079, 2943, 3540, 5145, 5515, 6564, 7955, 650, 1881, 2944, 3692, 5098, 5314, 6337, 7570, 650, 1893, 2429, 4039, 5125, 5579, 7030, 7535, 1101, 2048, 2188, 3892, 4401, 6142, 6267, 7256, 363, 1199, 2292, 4008, 4720, 5671, 6755, 7959, 271, 2066, 2159, 3680, 4226, 5603, 6431, 7369, 970, 1480, 2515, 3530, 4709, 5425, 6615, 7508, 1047, 2066, 2137, 3283, 4831, 6103, 7007, 7563, 940, 1446, 2137, 3918, 4764, 6075, 6796, 8224, 804, 1847, 2659, 3803, 4980, 6075, 6551, 7776, 956, 1370, 3064, 3982, 4782, 5901, 7132, 7782, 1097, 1992, 2803, 4166, 4888, 6211, 7084, 8267, 818, 1992, 3007, 3710, 4980, 5630, 6786, 7949, 818, 1992, 3128, 3866, 4630, 5241, 7084, 8267, 186, 2000, 3135, 4011, 5038, 5630, 7084, 7766, 935, 2017, 2164, 3516, 5106, 6129, 7132, 7723, 110, 1992, 2493, 3380, 4964, 5534, 6604, 7716, 186, 1237, 2781, 3803, 5083, 5223, 6996, 7876, 450, 1750, 3046, 3176, 4529, 5436, 7217, 7865, 473, 1386, 2989, 3856, 4912, 5761, 6709, 8266, 132, 2065, 3143, 3856, 4912, 5219, 7098, 7421, 779, 1581, 2166, 4171, 5145, 5968, 6988, 7537, 318, 1579, 2675, 3352, 4861, 6222, 6352, 7616, 723, 1976, 2436, 3669, 4978, 5492, 6629, 8052, 611, 1283, 2494, 3515, 4434, 5899, 6886, 7367, 725, 1803, 2725, 3488, 4841, 5621, 6768, 7277, 613, 2055, 2210, 3413, 4186, 6210, 6287, 8098, 617, 1676, 2454, 4074, 4727, 5892, 6544, 7985, 568, 1597, 2838, 3595, 5115, 5436, 6806, 8260, 225, 2002, 3000, 4115, 5138, 5556, 6657, 7549, 225, 1750, 2665, 3595, 4580, 5939, 6338, 7831, 183, 1597, 2356, 3827, 4606, 5296, 6486, 7254, 256, 1695, 2356, 3555, 4859, 5241, 6579, 7549, 183, 1706, 3028, 4141, 4423, 5942, 7098, 7683, 256, 1706, 2468, 3407, 4870, 6137, 6840, 7865, 256, 1633, 2718, 3555, 4859, 5892, 7000, 7707, 183, 1112, 2944, 3555, 4859, 6175, 6996, 7485, 256, 1858, 2970, 3555, 4762, 6137, 7120, 7563, 183, 1112, 2370, 4096, 5088, 5719, 6812, 7303, 183, 1112, 2992, 3564, 4836, 5296, 7160, 7643, 568, 1289, 2282, 3931, 4863, 5413, 7223, 7966, 568, 1695, 2792, 3234, 5167, 5500, 6809, 7778, 617, 1684, 2656, 3891, 5159, 6149, 6740, 7706, 552, 1467, 2582, 4145, 4583, 5216, 7181, 7641, 731, 1521, 2960, 3446, 4954, 5515, 6967, 7750, 692, 1219, 2897, 3922, 4911, 5606, 6486, 8169, 504, 1490, 2937, 3962, 4555, 5982, 7038, 8058, 970, 1496, 2924, 3582, 4635, 5703, 6338, 7948, 731, 1363, 3001, 3793, 4834, 5797, 7220, 7614, 150, 1717, 2807, 3233, 4955, 5650, 6884, 7677, 1029, 1510, 3085, 3743, 4273, 5276, 6551, 8137, 536, 1773, 3051, 4025, 4347, 5891, 7154, 7797, 104, 1865, 3073, 3458, 4285, 5934, 6669, 7473, 211, 1989, 2944, 3621, 4374, 5650, 7239, 7927, 779, 2107, 3060, 4145, 4822, 5216, 6953, 8107, 1056, 2125, 2991, 3908, 5061, 5678, 6588, 8016, 1056, 1851, 2470, 3440, 4925, 5216, 6467, 8185, 639, 1660, 2627, 3314, 4305, 5573, 6614, 7894, 840, 1322, 2163, 3427, 5022, 6187, 6627, 7365, 864, 1499, 2979, 3187, 4270, 5745, 7157, 7273, 1033, 1655, 2797, 3262, 5118, 6101, 6768, 7572, 308, 1218, 2387, 4066, 4536, 5687, 7100, 7365, 956, 2068, 2957, 3440, 4619, 6014, 7023, 7918, 818, 1844, 2391, 4011, 4366, 6146, 6979, 8083, 818, 1998, 2781, 4114, 4782, 6211, 7218, 7806, 914, 1992, 3128, 4071, 4912, 6205, 6972, 8185, 293, 1171, 2886, 3475, 5073, 5372, 6622, 7974, 171, 1210, 2529, 3723, 4954, 5677, 7090, 7962, 857, 1596, 2924, 3704, 4775, 5706, 6345, 7442, 650, 1407, 3150, 3388, 4670, 5799, 6413, 7426, 247, 1426, 2737, 3696, 4364, 5452, 6552, 7474, 249, 1603, 2491, 3244, 4364, 6162, 6237, 7925, 976, 1157, 2933, 3747, 4811, 5934, 6557, 8021, 895, 1440, 2579, 3290, 4440, 5973, 6957, 8058, 887, 1682, 2636, 3925, 4842, 6152, 6234, 7808, 1090, 1682, 2636, 3973, 4287, 6085, 6470, 7966, 1090, 1494, 2721, 3352, 4954, 5797, 6319, 7500, 1090, 1682, 3098, 3917, 4575, 5586, 7133, 7876, 1090, 1682, 3101, 3908, 4743, 5548, 6515, 7957, 678, 2033, 2695, 3955, 5115, 6211, 6677, 7485, 211, 1393, 3053, 3521, 4734, 5953, 6755, 8236, 211, 1881, 2925, 4150, 4276, 6205, 6988, 8260, 804, 2063, 3135, 4067, 5159, 6103, 6709, 7949, 1097, 1998, 2542, 4011, 5085, 5705, 7084, 7715, 789, 1998, 3043, 3364, 5083, 6211, 7207, 7563, 256, 1998, 3064, 4145, 4549, 5581, 6979, 7477, 183, 1750, 2355, 3873, 4344, 6085, 7168, 8069, 183, 1623, 2729, 4149, 4622, 5378, 6709, 7641, 356, 1633, 2167, 3904, 5160, 5594, 7160, 7716, 914, 1756, 2783, 4006, 4512, 5296, 6677, 7876, 223, 1281, 2687, 3749, 5088, 5746, 7147, 8126, 650, 1768, 3026, 3488, 4288, 5730, 7085, 8096, 993, 1282, 2156, 3338, 4364, 6080, 6769, 7629, 487, 1561, 2348, 3631, 4808, 5890, 6723, 8178, 103, 2107, 2595, 3550, 4225, 6135, 6603, 7774, 1097, 1755, 2960, 4085, 4545, 5767, 6410, 8260, 956, 1963, 3110, 3914, 4366, 5832, 7006, 7782, 488, 1791, 3135, 4018, 4624, 6139, 6786, 8179, 914, 1750, 3135, 4071, 5165, 5705, 7201, 8083, 914, 2079, 2895, 4114, 4888, 6103, 6786, 8260, 956, 2017, 2960, 3516, 4888, 5210, 6786, 7782, 956, 2000, 2880, 3710, 5038, 6085, 7226, 8260, 568, 2098, 2725, 3488, 4549, 6149, 6302, 7704, 756, 1349, 2422, 3391, 4225, 6063, 7207, 8179, 650, 1472, 2411, 4055, 4910, 5584, 6717, 7474, 1103, 1472, 2678, 3423, 4381, 5823, 7229, 8065, 1074, 1510, 2348, 3605, 5171, 5918, 6456, 7839, 730, 2107, 2196, 4021, 4539, 5653, 6576, 8088, 1011, 1116, 2848, 3384, 4494, 5490, 7151, 7960, 980, 1510, 2580, 3474, 4527, 5259, 6313, 8189, 1081, 1141, 2456, 3487, 4266, 6085, 6520, 7764, 844, 1399, 2429, 3420, 4266, 5523, 6573, 7492, 692, 1299, 2520, 3679, 4981, 6006, 6504, 7995, 113, 1139, 2564, 3921, 4229, 5470, 7222, 7478, 371, 1455, 2163, 3736, 4214, 5720, 7242, 7366, 917, 2084, 2979, 3170, 5126, 5387, 6399, 7917, 407, 1251, 2599, 3979, 4995, 5482, 6839, 7952, 536, 1469, 2979, 3660, 4855, 6037, 6837, 8249, 494, 1919, 2597, 3302, 4509, 5861, 6404, 7762, 113, 1469, 2653, 3289, 4214, 5605, 6950, 7728, 1030, 1255, 2968, 3281, 4309, 5789, 6582, 7827, 1066, 2019, 2224, 3954, 4364, 5332, 6579, 7995, 1016, 2048, 2173, 4105, 4938, 6118, 6739, 7736, 150, 1988, 2304, 3517, 4214, 5571, 7198, 7721, 150, 1156, 2173, 3282, 4964, 6118, 6367, 7827, 150, 1469, 2349, 4150, 4964, 5803, 7172, 8017, 150, 1290, 3146, 3736, 4924, 6010, 6666, 7968, 150, 1664, 2312, 3478, 4803, 6118, 6896, 7508, 1001, 1897, 2636, 3429, 4315, 6095, 6603, 7679, 1022, 1897, 2636, 3507, 5107, 6000, 6461, 7426, 1016, 2089, 2149, 3284, 4310, 5794, 6493, 7611, 1011, 2089, 2476, 3220, 4321, 5872, 6648, 7682, 1016, 1919, 2425, 3880, 4314, 5783, 6806, 7462, 1011, 1146, 2712, 3512, 4511, 5263, 6760, 7599, 961, 2095, 2965, 3338, 4389, 5872, 6565, 7920, 970, 1179, 2636, 3433, 4911, 5781, 6881, 7286, 970, 1524, 2839, 3385, 4728, 5526, 7123, 8229, 970, 1974, 2383, 3907, 5144, 5557, 6579, 8030, 970, 1469, 2349, 3943, 5149, 5567, 7172, 8085, 980, 1524, 2458, 4011, 4809, 5734, 6240, 7349, 940, 1897, 2932, 3886, 4555, 5911, 7004, 7264, 1097, 1998, 3043, 3671, 4867, 5883, 6630, 8237, 935, 1992, 2949, 3961, 4287, 5630, 6972, 7723, 201, 1528, 2925, 3645, 4822, 5883, 7239, 7641, 488, 2017, 2746, 4071, 5104, 5241, 7077, 8237, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 818, 2017, 2164, 3893, 4624, 6186, 7239, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 488, 2111, 3065, 3825, 4624, 5635, 7120, 8223, 488, 2111, 3065, 3893, 4798, 6081, 6794, 8223, 915, 2111, 2164, 3914, 4798, 5635, 7077, 8223, 4, 2 ]

[ 1, 53, 11, 63, 51, 5, 54, 33, 75, 35, 5, 48, 75, 44, 54, 5, 63, 44, 53, 33, 53, 28, 35, 30, 5, 31, 16, 5, 45, 54, 64, 16, 30, 16, 54, 66, 5, 5, 3, 510, 1860, 3064, 3226, 4387, 6195, 6918, 7949, 160, 1982, 3080, 3755, 5119, 5502, 6582, 7918, 223, 1269, 2444, 3894, 4381, 6118, 6480, 8135, 223, 2070, 3033, 3537, 4803, 5861, 6592, 7908, 1025, 1350, 3033, 3771, 4781, 5754, 6413, 7927, 993, 1986, 2312, 3431, 4578, 5927, 6917, 7932, 399, 1582, 2460, 3981, 4636, 5631, 6736, 7854, 1034, 1582, 2399, 3220, 5154, 6170, 6795, 7966, 661, 1706, 2265, 4013, 4906, 5885, 6643, 7984, 1083, 1582, 3074, 3875, 4244, 5551, 6770, 7567, 681, 1706, 2348, 3154, 4607, 5295, 6293, 7685, 161, 1581, 3010, 3605, 4205, 6093, 6679, 7904, 584, 1990, 2540, 3605, 5109, 5810, 6670, 7607, 360, 1141, 3074, 3229, 4791, 6158, 6944, 8234, 319, 1968, 2848, 3428, 4316, 5940, 7053, 8249, 1040, 1758, 2741, 3384, 4205, 5240, 7247, 7462, 815, 1463, 2378, 3214, 4484, 5936, 7000, 8067, 427, 1682, 2943, 4112, 5160, 5702, 7023, 7421, 984, 1976, 3110, 3771, 5078, 5346, 7111, 8188, 427, 2073, 2563, 3516, 4385, 5590, 6850, 7992, 153, 1876, 2542, 4115, 4359, 5436, 6588, 7677, 757, 1858, 3007, 3468, 4788, 6205, 7003, 8205, 859, 1475, 2775, 3374, 4379, 5963, 7160, 7876, 859, 1467, 2754, 4011, 4622, 6131, 7132, 7831, 512, 1620, 2899, 4005, 5058, 5565, 7207, 7753, 401, 1773, 2793, 4093, 4278, 5981, 7168, 8080, 401, 1563, 3063, 4151, 4533, 5378, 6871, 7948, 150, 1676, 2750, 3575, 5159, 5500, 7047, 8237, 150, 1676, 2750, 3977, 4835, 5825, 6302, 8085, 778, 1692, 3033, 4101, 4288, 5674, 6687, 7864, 299, 1633, 2401, 3649, 5075, 5610, 7085, 7980, 615, 2036, 2365, 3843, 4584, 5370, 6358, 7797, 184, 1434, 2882, 3820, 5000, 5715, 7212, 7580, 734, 1633, 2689, 3261, 4843, 5745, 6286, 7771, 247, 1472, 2848, 3751, 4388, 5733, 6947, 7597, 247, 2099, 2348, 4015, 4364, 5560, 6474, 8197, 465, 1510, 2846, 4082, 4478, 6086, 6856, 7442, 1090, 1865, 2149, 4085, 4764, 5263, 7004, 8240, 390, 1791, 3147, 4113, 4844, 5565, 7095, 8184, 440, 2030, 3039, 3649, 5035, 6025, 6909, 7901, 923, 1512, 2924, 3423, 4489, 6183, 7246, 8252, 271, 1635, 2905, 3849, 4803, 6116, 6895, 7978, 344, 1887, 2659, 4154, 4333, 5574, 7092, 7248, 840, 2055, 3074, 4030, 5017, 5849, 6583, 7625, 404, 2036, 2878, 4073, 4818, 5301, 6280, 7439, 277, 1736, 3033, 3191, 4381, 5944, 7135, 8232, 1008, 1736, 3066, 3913, 4277, 5518, 6614, 8163, 1080, 1736, 2841, 3936, 4825, 5703, 6623, 7904, 547, 1494, 3026, 3570, 5022, 5719, 6624, 7834, 778, 1886, 2751, 4156, 4818, 6005, 6800, 7841, 807, 1918, 2625, 3802, 4242, 5874, 6260, 7756, 487, 1561, 2687, 3968, 5016, 5862, 7223, 7702, 443, 1397, 3126, 3551, 4736, 5409, 6763, 7815, 807, 1754, 2435, 3551, 4795, 5800, 6840, 7873, 807, 1754, 2817, 3358, 4258, 5810, 6717, 7480, 807, 1428, 2885, 3307, 4539, 5697, 6911, 8207, 715, 1758, 2149, 3602, 4955, 5765, 7100, 7488, 440, 1125, 2946, 3430, 4626, 6118, 7229, 7452, 440, 1369, 3114, 3456, 4306, 5565, 6719, 8096, 756, 1171, 2895, 3359, 4374, 5558, 6768, 7962, 639, 1141, 2627, 3826, 4533, 5918, 6470, 7951, 692, 2053, 3130, 4085, 4789, 5482, 7185, 7649, 104, 1669, 2261, 3358, 4983, 5276, 6940, 7817, 993, 2059, 2134, 4143, 4604, 5344, 7049, 7681, 826, 1510, 2348, 4072, 4669, 5432, 6403, 7560, 887, 1735, 2678, 3455, 4386, 5810, 6619, 8149, 271, 1335, 2429, 3905, 5022, 5921, 6371, 7386, 993, 1676, 2678, 3537, 4536, 5510, 6978, 7641, 993, 1676, 2750, 3233, 4467, 5498, 6813, 7260, 826, 1865, 2793, 3254, 4321, 5472, 7052, 7544, 826, 1248, 2688, 3669, 4887, 5910, 6258, 7954, 778, 1349, 2559, 3767, 4354, 5512, 6405, 7393, 104, 1736, 2332, 3259, 4514, 5703, 7219, 8188, 993, 1736, 2708, 3454, 5111, 5294, 7075, 7837, 535, 1453, 3058, 3792, 4818, 6130, 6593, 7864, 535, 1397, 2775, 3425, 4875, 5790, 7068, 8190, 462, 1283, 2527, 3873, 4364, 5727, 7128, 7860, 936, 2059, 2396, 4080, 5146, 5990, 6885, 7318, 641, 1676, 2188, 3819, 4913, 5703, 7195, 7684, 778, 1755, 3101, 3679, 4762, 6002, 7024, 7296, 299, 1935, 2401, 3873, 4191, 6084, 7157, 7954, 299, 1141, 2591, 3410, 4795, 5610, 6737, 7563, 299, 1141, 2610, 3540, 4635, 5547, 6301, 7870, 887, 2053, 2975, 3363, 4635, 5485, 6239, 7649, 104, 1655, 2401, 3323, 4691, 5507, 6657, 7799, 1025, 1655, 2128, 3752, 4966, 5493, 6966, 7494, 1023, 1567, 2207, 3663, 4813, 5286, 6770, 7629, 313, 1455, 3091, 3245, 4226, 5648, 6237, 7393, 462, 1826, 2476, 3583, 5092, 5696, 6610, 7405, 536, 2062, 3106, 3245, 4316, 5581, 7133, 7479, 1024, 1494, 2309, 3395, 4835, 5973, 6770, 7498, 778, 1692, 2384, 3410, 4897, 5586, 6965, 7868, 150, 2053, 2429, 3298, 4635, 5711, 6622, 8195, 150, 2053, 2429, 3513, 5001, 5423, 6812, 7587, 826, 1655, 2994, 4080, 5020, 5733, 7076, 8146, 1025, 2009, 2797, 3799, 4346, 5818, 6494, 7992, 1025, 1797, 3098, 3869, 4622, 5481, 7010, 7602, 610, 1797, 3008, 3540, 5080, 6211, 6668, 7948, 610, 2051, 2340, 4005, 4589, 5910, 6616, 7530, 535, 1415, 2931, 4005, 5162, 5641, 7072, 7789, 840, 1327, 2595, 3782, 4936, 6178, 7242, 7383, 404, 1299, 2801, 3817, 5116, 6130, 6526, 7625, 536, 1758, 2589, 3465, 4278, 5532, 7242, 7627, 1001, 1808, 3026, 3687, 4371, 5500, 6965, 8009, 113, 1821, 2610, 4083, 5075, 5794, 6763, 8187, 610, 1510, 2456, 4083, 4604, 5433, 6772, 7384, 1056, 2008, 2902, 3758, 4730, 6087, 6614, 7791, 804, 2095, 3007, 3671, 4888, 5515, 6979, 8066, 1056, 1139, 3064, 3710, 5104, 5904, 6852, 7948, 308, 1856, 3008, 3983, 5038, 5883, 7058, 7806, 405, 1218, 2163, 3232, 4822, 5210, 7100, 7816, 868, 1881, 2188, 3533, 5041, 5678, 6708, 8039, 462, 1881, 2487, 3253, 4804, 6125, 6870, 7660, 462, 1808, 2464, 3769, 4359, 5381, 6624, 8129, 807, 1296, 2355, 3968, 5148, 5829, 6601, 8130, 487, 1863, 2638, 3425, 4785, 6101, 6614, 8092, 807, 1782, 2797, 3785, 4620, 5810, 6813, 7660, 582, 1350, 3091, 4154, 4555, 5212, 6731, 8189, 778, 1121, 2751, 3356, 4790, 6181, 7033, 7873, 104, 1918, 2232, 4007, 4218, 5350, 7162, 7652, 487, 1150, 2432, 3380, 4604, 6107, 6809, 7616, 862, 1458, 3116, 3793, 4586, 5823, 6919, 7758, 839, 1640, 2332, 4094, 4274, 5584, 6569, 7752, 1040, 1832, 2847, 3421, 5110, 6192, 6840, 7693, 536, 1541, 2254, 4079, 4829, 5825, 6651, 8038, 1025, 1821, 2167, 3251, 4604, 5982, 6820, 8081, 887, 1771, 2502, 3472, 4365, 5485, 6646, 7811, 850, 1676, 2732, 4078, 4665, 5209, 6980, 7428, 778, 1755, 2129, 4145, 4536, 5861, 6550, 7899, 831, 1369, 2366, 3525, 4536, 5279, 6604, 7881, 453, 2068, 2988, 3517, 5159, 6063, 7160, 7794, 240, 1339, 2771, 3623, 5187, 5768, 6786, 8236, 127, 2084, 2554, 3891, 4638, 5749, 6701, 7602, 518, 1791, 2542, 3227, 4398, 6157, 6579, 7485, 240, 1853, 3144, 3642, 4179, 5536, 7203, 7683, 518, 2118, 2610, 3362, 4638, 5536, 6338, 8126, 513, 2060, 2359, 4145, 4278, 5530, 6889, 7908, 552, 1620, 3144, 3770, 4617, 6205, 6709, 8036, 401, 1349, 2961, 3957, 4816, 5538, 6349, 7878, 271, 1349, 2312, 3741, 4258, 5944, 6626, 7381, 271, 1533, 2725, 3992, 4995, 6072, 6820, 8077, 271, 2118, 3019, 3593, 5090, 5854, 6458, 7860, 844, 1881, 3130, 3298, 4457, 6215, 7065, 7781, 952, 1139, 3033, 3533, 4863, 5527, 6615, 7648, 981, 1496, 3101, 4106, 4364, 5263, 6540, 7954, 1052, 1496, 3039, 4145, 4901, 6050, 6625, 7262, 806, 1496, 2751, 3298, 4354, 5423, 6814, 7312, 938, 2118, 3003, 3436, 4954, 6016, 7229, 7961, 1080, 2118, 3076, 4130, 4489, 5820, 6244, 8108, 692, 1171, 3033, 3924, 4422, 5325, 7163, 7913, 569, 1915, 2271, 3941, 4191, 5715, 6504, 8215, 831, 1778, 3033, 3704, 4797, 5950, 6325, 7831, 1025, 1399, 2750, 3970, 4536, 5552, 7230, 8126, 831, 1120, 2750, 3642, 5145, 5889, 6581, 7914, 804, 1847, 3007, 4145, 5160, 5844, 6314, 7602, 617, 2098, 2959, 4085, 5143, 5548, 6979, 7448, 617, 1695, 2614, 3370, 5007, 5364, 6515, 7466, 488, 2111, 2970, 3391, 5038, 5963, 6786, 8080, 818, 1791, 3095, 3945, 5166, 6182, 7006, 8237, 818, 2017, 3117, 3367, 4630, 6139, 6972, 8223, 488, 1528, 2914, 3825, 5038, 6139, 7077, 8147, 818, 2017, 2806, 3893, 4624, 5241, 7201, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1528, 3065, 3893, 4624, 6186, 6794, 8196, 915, 1622, 2833, 3825, 4624, 6186, 6794, 8196, 555, 1218, 2833, 4174, 4512, 5883, 6709, 7717, 555, 1684, 3021, 4011, 4512, 5635, 6972, 7485, 555, 1876, 2858, 4166, 4387, 5844, 6996, 8080, 555, 1648, 2858, 4166, 4870, 5901, 6251, 7717, 915, 1648, 3021, 3914, 4512, 5892, 6752, 8237, 555, 1648, 2858, 3914, 5159, 5413, 7124, 7723, 555, 1684, 2880, 4068, 4704, 5811, 7124, 8126, 555, 1750, 3021, 3374, 4583, 6163, 6794, 7766, 915, 1684, 2858, 3914, 4798, 5241, 7120, 7723, 915, 1622, 2164, 3374, 4622, 5219, 6996, 8237, 915, 2017, 2914, 3374, 4798, 5241, 7100, 8223, 915, 1684, 2164, 3825, 4512, 5981, 6794, 7766, 915, 2017, 2164, 3914, 4622, 5241, 7124, 8223, 915, 2017, 3021, 3825, 4870, 5635, 6677, 8196, 488, 1528, 3021, 3893, 4512, 5892, 6752, 7766, 555, 1648, 3021, 3891, 4512, 5635, 7077, 8080, 4, 2 ]

[ 1, 31, 39, 5, 28, 45, 52, 30, 5, 31, 16, 5, 30, 14, 53, 5, 52, 20, 55, 42, 35, 5, 14, 66, 5, 76, 17, 54, 64, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6081, 7226, 8223, 915, 1528, 3065, 3825, 4398, 5241, 6786, 8196, 653, 1881, 2975, 3904, 4285, 6129, 6349, 8208, 1045, 1596, 2706, 3875, 4347, 5419, 6680, 8033, 602, 1826, 3037, 3596, 4457, 6135, 6386, 7995, 612, 1283, 2161, 3552, 4539, 5268, 7094, 7618, 557, 1695, 2563, 3218, 4697, 6125, 6624, 7826, 1023, 1695, 2426, 3714, 4412, 5555, 6224, 7738, 540, 1580, 2791, 3875, 5146, 5298, 6230, 7415, 363, 1834, 2529, 3316, 4412, 5224, 6301, 8129, 784, 1164, 2531, 3770, 4539, 5314, 6296, 8070, 266, 1695, 2565, 3792, 4690, 5216, 6955, 8169, 510, 1992, 2996, 3692, 4589, 5767, 6566, 7290, 1056, 1850, 2717, 3970, 4980, 5811, 6740, 7906, 512, 2041, 3021, 3909, 5115, 5788, 7100, 8188, 308, 1467, 3135, 3811, 4822, 6131, 7100, 7753, 684, 1218, 2315, 3826, 4782, 5832, 6979, 7959, 804, 2046, 2989, 3440, 4622, 6085, 7111, 8080, 512, 1620, 3095, 3990, 5061, 5694, 7132, 8237, 512, 1945, 2340, 3827, 5183, 5573, 6688, 7557, 870, 1510, 2945, 3831, 4923, 5706, 6894, 7748, 975, 1283, 2171, 3956, 4214, 6194, 6881, 7902, 632, 1283, 2940, 3446, 4568, 5839, 6231, 7590, 1036, 1621, 3080, 3180, 4982, 5644, 6692, 7772, 862, 1761, 2156, 4168, 4179, 5320, 6769, 7737, 994, 1315, 2867, 3647, 4706, 5870, 7043, 8149, 664, 1440, 2869, 4158, 4231, 5852, 6958, 8163, 664, 1440, 2505, 3254, 5022, 5874, 7102, 7931, 961, 1498, 3040, 3689, 4379, 5684, 6415, 7800, 344, 1440, 2639, 3313, 4441, 5364, 7174, 8265, 83, 1995, 2274, 3249, 4873, 5548, 6367, 7983, 344, 1723, 2691, 4053, 4288, 6145, 6299, 8018, 344, 1190, 2137, 3843, 4856, 5643, 6632, 7702, 1016, 1498, 3040, 3707, 4238, 5254, 7232, 8178, 961, 1498, 2137, 4105, 4679, 6130, 6839, 7646, 1011, 1305, 2137, 3895, 4205, 5572, 7111, 8262, 537, 1827, 2137, 3440, 4609, 5983, 6516, 7473, 304, 1562, 2659, 4171, 5139, 5968, 6935, 8012, 955, 1562, 2971, 3990, 4449, 6110, 6579, 7876, 779, 1956, 2560, 3962, 4583, 5586, 7160, 7952, 901, 1407, 2924, 3470, 4966, 5431, 7132, 8227, 1065, 1992, 2742, 4120, 4982, 5864, 6626, 7524, 862, 1420, 2486, 3399, 4887, 5624, 7158, 7599, 200, 1826, 3040, 3880, 4351, 6133, 6905, 7956, 664, 1129, 2607, 3552, 4612, 5829, 6704, 7924, 231, 1504, 2626, 3668, 5079, 6148, 6403, 8154, 684, 2068, 2989, 4124, 4859, 6063, 6772, 8260, 308, 1924, 2359, 3945, 4214, 5550, 6612, 8034, 308, 1175, 2239, 3251, 5085, 5527, 6849, 7887, 143, 1669, 2157, 3909, 4890, 5280, 6412, 7675, 845, 1688, 2172, 4175, 4321, 5845, 6576, 7718, 1101, 1830, 2282, 3824, 4891, 6206, 6808, 7378, 737, 1557, 2183, 3531, 4644, 6194, 6898, 7879, 966, 1171, 3116, 3880, 4506, 5706, 7022, 7296, 465, 2120, 2572, 3736, 4364, 5973, 6230, 7400, 1101, 1984, 3041, 3888, 5092, 5787, 6270, 7992, 884, 1301, 2953, 3940, 5092, 5643, 6905, 7483, 737, 1217, 2869, 3368, 4308, 6162, 6419, 7378, 868, 1631, 3040, 3920, 4781, 6169, 6710, 7697, 1101, 1997, 2869, 3376, 4835, 6002, 6659, 8011, 725, 2061, 2869, 3895, 4857, 5982, 6248, 8190, 1101, 1424, 3040, 3849, 4466, 5848, 6653, 8098, 725, 1354, 3055, 3420, 4236, 5221, 6429, 7778, 504, 1312, 3040, 3882, 4753, 5535, 6875, 7738, 386, 2008, 2999, 3425, 4983, 5704, 6980, 7735, 401, 1867, 2492, 4074, 4289, 6055, 7233, 7515, 504, 1826, 2783, 3962, 4856, 6131, 7003, 7716, 678, 1385, 2944, 3430, 5148, 6070, 6589, 8236, 643, 1227, 2944, 3361, 4774, 5250, 7005, 7992, 1081, 1370, 2783, 4027, 5165, 6001, 6968, 8240, 1025, 1668, 2733, 4166, 4859, 6073, 6996, 7838, 386, 1265, 2527, 3998, 4782, 5424, 6615, 8173, 887, 1833, 2482, 3802, 4324, 5640, 6613, 7876, 1090, 1972, 2687, 3456, 4487, 6064, 6765, 7360, 1011, 1660, 2970, 3488, 5110, 5315, 6711, 8144, 887, 1669, 2793, 3742, 4867, 5205, 7163, 7453, 1008, 1938, 3149, 4130, 5192, 5235, 6267, 7476, 1074, 1926, 2693, 3624, 4607, 5547, 6670, 7924, 407, 2050, 3074, 3700, 4614, 5480, 6751, 7820, 774, 1766, 2569, 3517, 4765, 5358, 6438, 8020, 1041, 2026, 2372, 3517, 4759, 5985, 7142, 7736, 531, 1674, 2198, 3309, 4788, 5596, 7052, 7462, 1008, 1387, 2636, 3492, 5158, 6002, 6316, 7828, 344, 2026, 2236, 3221, 4483, 5253, 6805, 7644, 974, 1727, 2368, 3349, 4285, 5457, 6542, 7491, 1008, 1146, 2320, 3547, 4339, 5345, 6271, 7779, 1025, 1438, 2518, 4079, 4364, 5643, 6918, 7622, 1035, 1939, 2697, 3631, 4298, 5850, 6614, 7634, 150, 1831, 3101, 3623, 5164, 5710, 7025, 7770, 887, 1244, 2924, 3973, 4859, 5810, 6350, 7863, 887, 1831, 2750, 3442, 5095, 5359, 6786, 7737, 887, 1269, 2989, 3885, 4803, 6063, 6684, 7643, 887, 1269, 2357, 3176, 4287, 6085, 6566, 8085, 1090, 1269, 2798, 3886, 4803, 5534, 6707, 7502, 691, 1547, 3080, 4089, 4760, 6212, 6658, 8178, 299, 1682, 2867, 3479, 4596, 6135, 6940, 7941, 465, 1407, 2506, 3986, 4436, 5729, 6474, 8133, 803, 1141, 2741, 3505, 4776, 5715, 6615, 7515, 1029, 1742, 2173, 3181, 4369, 5441, 6474, 8134, 1005, 1777, 2559, 4153, 4825, 5338, 6419, 7815, 887, 1517, 2761, 3283, 5129, 5269, 6659, 7706, 504, 1736, 2167, 3937, 5154, 6156, 7081, 8015, 643, 1403, 3026, 4078, 4212, 5500, 6456, 7528, 692, 1688, 2142, 3459, 4720, 5204, 6529, 7630, 1101, 1830, 2142, 3605, 4902, 5614, 6651, 7773, 1080, 1280, 2693, 4087, 5134, 6207, 6530, 7488, 940, 1139, 2282, 3910, 4530, 5963, 6713, 7997, 956, 1675, 2492, 3803, 4630, 6131, 6467, 7485, 1097, 1992, 2957, 3803, 4573, 5635, 6786, 8260, 984, 1869, 3143, 4152, 4912, 5687, 6613, 8076, 984, 1562, 2781, 3206, 5060, 5630, 6709, 7753, 488, 1845, 2746, 3893, 4782, 6081, 7006, 7723, 935, 2068, 2991, 4068, 4630, 5705, 7006, 8196, 935, 1622, 3007, 4115, 5165, 6205, 6988, 7766, 684, 1822, 2943, 3776, 4287, 5534, 7160, 7965, 401, 1577, 2838, 3188, 5115, 5678, 6604, 8066, 391, 1711, 2923, 4112, 4318, 5776, 6755, 7918, 726, 1383, 2490, 4162, 4706, 5414, 7067, 7721, 864, 1720, 2490, 3416, 4760, 5613, 6306, 7999, 668, 1843, 2894, 3769, 5022, 6111, 6234, 7785, 864, 1926, 2603, 4015, 5030, 5604, 6846, 7841, 975, 1659, 2491, 3624, 4506, 6135, 6511, 7500, 1024, 1345, 3123, 3582, 4541, 5547, 7230, 8254, 575, 1682, 2256, 3295, 4335, 5203, 6461, 8178, 1005, 1299, 2173, 3452, 4682, 5468, 6256, 8098, 1090, 1199, 2678, 3769, 4993, 6164, 6620, 7355, 390, 1581, 2944, 3878, 4467, 5749, 7120, 8209, 1090, 2024, 2944, 3540, 4374, 5968, 7239, 8188, 308, 2024, 2895, 3440, 5088, 6014, 7047, 8080, 804, 1175, 3007, 3188, 5085, 6195, 7019, 8083, 512, 1992, 3008, 4171, 4867, 6211, 7239, 7485, 617, 1965, 3133, 3857, 4501, 5696, 6348, 7975, 228, 1851, 2172, 3599, 4398, 5586, 7120, 7559, 518, 1734, 2242, 3564, 4877, 5901, 6486, 7477, 228, 2034, 2791, 3651, 4566, 5830, 6291, 7865, 228, 1468, 2791, 4153, 4576, 6157, 7129, 7706, 228, 2034, 2565, 3413, 4344, 5219, 7152, 7732, 228, 2106, 3099, 3515, 4681, 5219, 6889, 7677, 228, 1586, 2469, 3874, 5060, 5534, 6338, 8076, 654, 1586, 3150, 3798, 4549, 6175, 7207, 7291, 225, 1424, 2251, 3337, 4681, 5514, 7024, 7732, 228, 2111, 2869, 4103, 4681, 5520, 6717, 8102, 228, 2111, 2316, 4138, 4904, 5830, 6763, 8093, 228, 1468, 3021, 3891, 4681, 5364, 7006, 7948, 183, 1851, 2221, 3891, 4877, 6157, 6772, 7906, 543, 1304, 2554, 4145, 4398, 5935, 7152, 8236, 617, 2127, 2554, 3596, 4681, 5385, 7152, 7664, 419, 2002, 2754, 3770, 4681, 6157, 6752, 7716, 555, 2111, 2554, 3838, 5120, 6137, 6996, 7865, 488, 2065, 2806, 3595, 4398, 5515, 6688, 7303, 488, 1622, 3065, 3595, 4398, 6139, 7077, 8147, 488, 1528, 3117, 3367, 4798, 6139, 7077, 7865, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 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, 4, 2 ]

[ 1, 31, 33, 63, 5, 28, 63, 39, 78, 16, 54, 5, 51, 52, 20, 78, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 6752, 8147, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8147, 818, 1869, 3117, 3982, 4798, 5612, 6709, 7949, 304, 1755, 2971, 3982, 4592, 5385, 6515, 8266, 650, 1234, 2161, 3982, 4366, 6111, 7095, 8267, 752, 1265, 2881, 4061, 4457, 5734, 7004, 7808, 374, 1557, 2486, 4003, 4352, 5734, 6443, 8060, 117, 1971, 2346, 3843, 4846, 5827, 6881, 7916, 988, 1283, 2271, 3421, 4412, 5606, 6866, 7831, 881, 1347, 2175, 3488, 4412, 6002, 7198, 7355, 806, 2099, 2232, 4072, 4459, 6215, 6881, 7633, 646, 1110, 2156, 3751, 4459, 5361, 6720, 7669, 761, 1557, 3018, 3238, 5124, 5366, 6710, 7436, 814, 1458, 2429, 3276, 5084, 6184, 6308, 8232, 160, 1828, 2975, 3229, 5124, 5408, 6566, 7781, 390, 1838, 2553, 3662, 4282, 6065, 6493, 7639, 308, 1238, 3098, 4143, 5088, 5968, 7098, 7948, 1037, 1750, 3080, 3516, 4181, 6120, 6256, 7846, 308, 1989, 2946, 3975, 4912, 5219, 6584, 8179, 1037, 2063, 2760, 4018, 4633, 5968, 7207, 7876, 390, 2079, 2838, 4011, 4366, 5883, 6786, 7720, 211, 1750, 2838, 4068, 4980, 5219, 7006, 8083, 390, 1963, 3064, 3990, 5060, 5216, 6988, 8266, 955, 2045, 3144, 4114, 4541, 6000, 6809, 8260, 410, 1399, 3035, 3183, 4364, 6164, 6870, 7525, 1066, 1986, 2863, 3602, 5120, 5502, 6985, 7508, 569, 1867, 2934, 3969, 4261, 5925, 7157, 8246, 806, 2052, 2451, 3969, 4763, 5656, 6970, 7644, 988, 1517, 2688, 3934, 4377, 5695, 6663, 7548, 646, 1736, 2995, 3963, 4686, 5465, 6308, 8191, 1103, 2059, 2801, 3764, 4450, 5441, 7117, 7318, 1043, 1283, 2484, 3638, 4952, 6145, 7078, 8121, 487, 1283, 2484, 3423, 4848, 5982, 6939, 7271, 487, 1708, 2513, 3631, 4364, 5924, 6837, 7488, 487, 1762, 2610, 3631, 5151, 6119, 6838, 7858, 884, 1708, 2801, 3225, 4604, 5587, 6935, 7405, 487, 1708, 2492, 3555, 4604, 5304, 6566, 7675, 487, 1816, 2601, 3745, 4942, 5810, 6277, 7250, 487, 1140, 2242, 3695, 4636, 5581, 6925, 8031, 986, 1140, 2891, 3560, 4592, 5810, 6553, 8213, 986, 1335, 2327, 4155, 4959, 5730, 6224, 8162, 545, 1265, 2885, 3838, 4934, 5269, 6224, 7879, 927, 1806, 2531, 3555, 4808, 5929, 6224, 8172, 576, 1806, 2945, 3555, 5127, 5325, 7162, 8164, 576, 1989, 2751, 3555, 4344, 6147, 6757, 7476, 576, 1472, 2136, 3555, 5051, 5672, 6895, 7547, 1014, 1116, 3052, 3364, 5159, 5704, 6265, 8117, 708, 1545, 2957, 3706, 4881, 6076, 7207, 7915, 545, 1421, 2293, 3298, 4876, 6122, 6704, 8150, 886, 1350, 2830, 4079, 4228, 6145, 7062, 7899, 908, 1570, 2282, 4015, 4501, 5408, 6894, 8061, 936, 2061, 2531, 3635, 4982, 5574, 6241, 7896, 1025, 1350, 2282, 3668, 4816, 5873, 7168, 8263, 1025, 1831, 3063, 3978, 5117, 5610, 6746, 7784, 104, 1831, 3075, 3970, 4536, 6195, 6430, 7737, 887, 1782, 2436, 3932, 4983, 6120, 6281, 7559, 150, 1782, 2440, 4066, 4993, 5836, 6764, 7488, 150, 1275, 3020, 4096, 4691, 5389, 6592, 8073, 104, 1782, 2552, 3807, 4816, 6082, 7220, 7827, 850, 1141, 2581, 3224, 4942, 5662, 6979, 7538, 390, 1455, 2440, 4085, 4359, 5510, 7158, 7764, 484, 1508, 2610, 3932, 5085, 5901, 7152, 8093, 804, 2073, 2728, 3955, 4533, 6120, 6540, 7421, 293, 1898, 3048, 4167, 4541, 5714, 6884, 7828, 1094, 1979, 2573, 3271, 4180, 5766, 7195, 7598, 485, 2025, 2616, 3651, 4686, 5248, 6639, 7699, 132, 1468, 2391, 3595, 4324, 6050, 6796, 8040, 617, 1468, 3150, 3374, 5165, 5378, 6612, 7716, 405, 1974, 2163, 4171, 4277, 6085, 7111, 8145, 160, 1280, 2858, 3803, 4383, 5874, 6996, 7895, 569, 1469, 2716, 4035, 5176, 6187, 6891, 8092, 569, 2053, 2394, 3458, 4176, 6004, 6947, 8108, 443, 2070, 2325, 3760, 5081, 5506, 7234, 7905, 964, 1117, 2173, 3999, 4280, 5862, 6838, 7905, 655, 1117, 2173, 3452, 4656, 6005, 6721, 7270, 655, 1699, 2286, 3452, 4324, 5867, 7050, 7905, 368, 2110, 2173, 3584, 4846, 5867, 6477, 8189, 517, 1438, 2142, 3584, 4438, 5360, 7057, 7911, 835, 1469, 2951, 3214, 4380, 5608, 6969, 7925, 834, 2124, 2951, 4072, 5198, 5477, 6549, 7394, 774, 1469, 2236, 4128, 5108, 6043, 6267, 7869, 501, 1168, 2653, 3880, 4911, 5486, 7018, 7938, 835, 1215, 3003, 3220, 4963, 5205, 6234, 7869, 774, 1248, 2321, 3211, 5189, 5950, 6928, 8139, 581, 1156, 2225, 3780, 4205, 5380, 6397, 7984, 900, 2050, 2198, 3972, 4648, 5722, 6404, 8201, 774, 1248, 2966, 3438, 4201, 6190, 6497, 7937, 1041, 1134, 2693, 3421, 4984, 5615, 6435, 7935, 494, 1248, 2325, 3988, 4410, 5208, 6792, 8242, 655, 1828, 2536, 3220, 4299, 6191, 6583, 7422, 494, 1338, 3033, 4050, 4730, 5347, 7229, 8104, 655, 1205, 2540, 3587, 4510, 5932, 6838, 8169, 803, 1679, 2610, 3233, 4298, 5665, 6554, 7850, 761, 1828, 2697, 3751, 4418, 5939, 6556, 8235, 545, 1458, 2848, 3601, 5023, 5507, 6492, 7887, 654, 1683, 2346, 3826, 4539, 5218, 6795, 8265, 654, 2059, 2998, 3227, 4212, 5276, 6335, 8093, 195, 1309, 2565, 3857, 5106, 5963, 6909, 7892, 195, 1313, 2346, 3518, 5167, 6026, 6514, 8102, 1015, 1468, 2444, 4006, 5135, 6065, 7220, 7290, 967, 1490, 2560, 3719, 5127, 6085, 6338, 7680, 579, 2073, 2361, 3518, 5193, 5923, 6234, 8245, 1015, 1199, 2971, 3723, 4372, 5811, 6968, 7735, 473, 1519, 2654, 3352, 4775, 5462, 6502, 7765, 650, 1585, 2860, 3413, 4622, 5945, 6702, 7935, 4, 2 ]

[ 1, 41, 20, 63, 5, 45, 41, 5, 76, 48, 5, 16, 66, 33, 53, 62, 66, 16, 30, 5, 66, 73, 5, 42, 57, 5, 14, 66, 5, 62, 63, 33, 78, 16, 54, 66, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7077, 8147, 201, 1622, 2914, 3825, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8196, 419, 1851, 2164, 3914, 4798, 5241, 6604, 7723, 518, 2097, 2340, 3595, 4918, 5413, 7239, 8213, 256, 2060, 2754, 3771, 5167, 5438, 7114, 7438, 475, 1248, 2340, 3838, 4780, 6110, 6515, 7806, 335, 1797, 2781, 3487, 4447, 5761, 7085, 7831, 1009, 1318, 3003, 3953, 4305, 5775, 6881, 8103, 266, 1469, 2911, 3979, 4855, 6111, 6373, 7813, 314, 1469, 2690, 3322, 4274, 5313, 6592, 7758, 784, 1469, 3085, 3422, 4727, 5469, 6802, 7394, 266, 1543, 2460, 3703, 4656, 5553, 6549, 7905, 386, 1174, 2173, 3530, 4550, 6142, 6395, 7873, 784, 1674, 3085, 3184, 4774, 5993, 7178, 7905, 1067, 1674, 3072, 3892, 4708, 5668, 6725, 7401, 895, 1937, 2977, 4038, 4644, 5584, 6254, 7633, 558, 1294, 2543, 3309, 4382, 5715, 6494, 7652, 725, 1517, 2726, 3279, 4701, 5542, 6563, 7687, 1101, 1517, 2540, 3750, 4911, 6050, 6818, 7534, 725, 1494, 2905, 3653, 4244, 5814, 6570, 7649, 465, 1564, 3026, 3517, 4588, 6043, 7064, 7576, 113, 1506, 2349, 3828, 4936, 5640, 7074, 8041, 575, 1477, 2740, 3358, 4855, 5980, 6831, 7822, 440, 1212, 2484, 3479, 4751, 5749, 7012, 7538, 240, 1724, 2560, 4005, 4931, 5344, 6550, 7845, 440, 1750, 3008, 3697, 4215, 5755, 6443, 8221, 878, 2030, 3033, 3982, 4771, 5605, 7024, 8141, 579, 1233, 2838, 3364, 4344, 5413, 6972, 7919, 304, 1370, 2799, 3945, 4918, 5942, 6251, 8212, 643, 1494, 2321, 4017, 5125, 6007, 7071, 7795, 386, 2033, 2894, 3298, 4520, 6007, 6513, 8248, 540, 1655, 2938, 3408, 4371, 6063, 6637, 8033, 1023, 1655, 2553, 3366, 5169, 5728, 7106, 8128, 363, 1283, 3101, 3679, 4804, 5563, 6313, 7894, 487, 1692, 2566, 3324, 4318, 5800, 7212, 8006, 1023, 1550, 2610, 3939, 5001, 5741, 6625, 8108, 807, 1834, 2791, 4037, 4539, 5795, 6933, 7813, 920, 1397, 2875, 3799, 4539, 5863, 6679, 8049, 920, 1397, 2529, 3792, 5106, 5300, 7175, 7867, 137, 1397, 2495, 3332, 5097, 5653, 6606, 7842, 876, 1397, 2316, 3570, 5124, 5810, 7127, 7492, 692, 1951, 2345, 3205, 5040, 5886, 6466, 8044, 959, 2024, 3032, 3994, 4792, 5438, 6677, 7965, 935, 1998, 2991, 3914, 4822, 5767, 6515, 8179, 555, 1147, 2989, 4174, 4622, 6051, 7181, 7717, 1056, 1280, 2315, 3391, 5104, 6156, 7084, 7591, 859, 1534, 3095, 4145, 4980, 5832, 6584, 8261, 146, 2127, 2316, 3993, 4652, 5998, 6740, 8085, 195, 1961, 2665, 4113, 4549, 5677, 6740, 7495, 183, 1684, 2596, 3726, 4762, 5892, 6829, 7303, 746, 1695, 2792, 3475, 4423, 5844, 7132, 8066, 223, 1333, 2307, 3827, 4486, 5504, 6956, 8266, 499, 1349, 2265, 3508, 4735, 5283, 6614, 8027, 538, 1349, 2810, 4057, 5036, 5720, 6277, 8143, 862, 1278, 2361, 3965, 4351, 5461, 7043, 8162, 556, 1496, 2171, 3426, 4407, 6034, 6672, 7879, 678, 1509, 2754, 3771, 4654, 5836, 6764, 7967, 216, 1309, 2440, 3565, 4228, 5491, 6373, 8085, 335, 1545, 3069, 3901, 4402, 5952, 6958, 7966, 970, 1705, 3080, 3530, 4792, 5749, 6256, 7957, 779, 1623, 3037, 3845, 4966, 5981, 6979, 7641, 684, 2068, 3109, 3822, 5166, 5534, 6859, 8078, 684, 2068, 2899, 4145, 5165, 5210, 7006, 8195, 914, 1804, 3095, 4114, 4861, 5705, 6752, 7631, 489, 2127, 2854, 3364, 5120, 5927, 7129, 8027, 518, 1633, 2469, 3951, 5061, 5280, 6607, 8261, 304, 1918, 2239, 3602, 5062, 5267, 6430, 7590, 335, 2002, 2983, 3277, 4241, 5521, 6973, 7547, 1088, 1938, 2719, 3575, 4384, 5694, 6296, 7948, 1091, 1974, 2175, 4122, 4592, 6026, 6615, 7492, 571, 1424, 3147, 3478, 5183, 5963, 6612, 7887, 684, 1331, 2895, 3487, 5104, 6085, 6786, 7720, 571, 1562, 3135, 4018, 4925, 5219, 7003, 8195, 779, 1945, 3007, 4174, 5159, 5832, 6349, 8066, 304, 1320, 2167, 3994, 5083, 5219, 7114, 7723, 511, 2013, 2629, 3904, 5083, 5378, 6730, 7906, 271, 1510, 2725, 3159, 4829, 5221, 6478, 7615, 266, 1510, 2725, 4043, 4433, 5695, 6828, 7442, 643, 1778, 2288, 3582, 4664, 5480, 6704, 8095, 1097, 1850, 2754, 3918, 5088, 6146, 6402, 8253, 308, 1750, 2838, 3945, 5038, 6195, 7084, 7485, 1099, 2046, 2806, 4068, 4822, 5684, 6709, 7421, 804, 1218, 3095, 4097, 5038, 5219, 6988, 7421, 510, 1931, 2947, 4068, 4912, 5705, 7077, 7723, 308, 1218, 2924, 4174, 5060, 6129, 7084, 8267, 293, 1208, 2886, 3579, 4688, 5958, 6362, 8257, 784, 1141, 2726, 3779, 4612, 6162, 7074, 8217, 1036, 1205, 2137, 3938, 4708, 5354, 6569, 7824, 558, 1205, 2690, 3205, 4326, 5295, 6812, 7931, 333, 1554, 2137, 3406, 5193, 6158, 6679, 8241, 504, 1926, 2724, 3623, 4866, 5903, 7072, 7836, 643, 2050, 3032, 3771, 4668, 5396, 6493, 8146, 504, 2035, 2294, 3667, 5011, 5824, 7071, 7764, 643, 1316, 2326, 3330, 4853, 5484, 6851, 7458, 1081, 1520, 2137, 4049, 5098, 5644, 6465, 7528, 271, 2028, 2137, 3712, 4605, 5944, 6830, 8130, 192, 1548, 2137, 3514, 5008, 5242, 6592, 7580, 472, 1531, 2298, 4130, 4496, 5557, 6476, 7567, 884, 1151, 2282, 3629, 4602, 5293, 6859, 7336, 725, 1557, 3051, 3672, 4482, 5642, 7009, 8199, 840, 1510, 2165, 3740, 4804, 5490, 6852, 8069, 103, 1630, 3089, 4143, 5164, 5390, 7129, 7713, 1097, 1869, 2436, 3990, 4387, 5811, 6467, 7918, 984, 1628, 2932, 4145, 4630, 5981, 7111, 7723, 186, 1984, 2991, 3990, 4447, 6085, 6972, 8147, 935, 1845, 2806, 3886, 5166, 6129, 6771, 8076, 935, 2017, 2991, 3645, 5106, 6205, 6852, 8237, 935, 1467, 2746, 3645, 5080, 6211, 6996, 8260, 186, 1528, 2838, 3825, 4792, 6211, 7201, 7876, 186, 1528, 2164, 3893, 4630, 6186, 6972, 8196, 707, 1141, 2287, 3602, 4782, 6001, 6468, 7908, 878, 1736, 2971, 3862, 4303, 5865, 7119, 7899, 1062, 1141, 2856, 3727, 4868, 5765, 6493, 7289, 113, 1173, 2532, 3544, 4801, 5713, 6376, 8172, 803, 1324, 2893, 3544, 4382, 5450, 6665, 7508, 1077, 1640, 2348, 3658, 4796, 5925, 7229, 7980, 664, 1758, 2848, 3223, 4952, 5927, 6684, 7904, 807, 2109, 2785, 3605, 4995, 5973, 7177, 7537, 668, 1676, 3018, 3421, 4743, 5560, 6325, 7633, 1084, 2125, 2751, 3446, 5054, 5449, 6448, 7975, 568, 1529, 2598, 4026, 4743, 5944, 6464, 7533, 225, 1252, 2473, 3637, 4906, 5371, 6476, 7293, 228, 2108, 2923, 3723, 4395, 5581, 6986, 7732, 228, 1992, 2554, 3593, 4896, 6086, 6772, 7367, 440, 1252, 2212, 4012, 4493, 5390, 6668, 8181, 750, 2012, 2515, 4082, 4364, 5801, 6413, 7919, 1090, 1146, 2750, 3472, 4611, 5223, 7017, 8049, 1035, 1510, 2258, 3869, 4855, 6205, 6485, 7488, 826, 1858, 2348, 4096, 4441, 5989, 6610, 7570, 150, 1865, 2924, 4082, 4573, 5641, 7086, 7261, 299, 1865, 2357, 4096, 4431, 5251, 6871, 8209, 104, 1865, 2783, 3306, 4536, 5641, 6443, 7941, 663, 1557, 2440, 3201, 5004, 5673, 7047, 7410, 308, 2024, 2946, 3803, 5166, 6120, 6980, 7717, 617, 1998, 2139, 3488, 4918, 6175, 7119, 7919, 453, 1700, 3059, 3591, 5150, 5308, 7017, 8236, 914, 1620, 2833, 4145, 4387, 5438, 6668, 7887, 488, 2000, 2833, 3990, 5038, 6205, 6786, 8260, 488, 2000, 2806, 4114, 4630, 6051, 7077, 7876, 818, 1791, 3008, 4114, 5038, 6182, 7201, 7806, 818, 1791, 3135, 3893, 5080, 5635, 7239, 7766, 488, 1528, 3110, 3893, 4704, 6139, 7239, 8196, 915, 2017, 3021, 3825, 4798, 6129, 6794, 7766, 915, 1648, 3021, 3914, 4798, 6186, 6584, 7723, 859, 2127, 2970, 3914, 4681, 5515, 7168, 8076, 555, 1147, 2554, 3277, 5160, 5219, 7006, 7570, 859, 1695, 2340, 3550, 5060, 5672, 6589, 7557, 555, 1468, 3021, 4145, 4890, 6149, 6988, 8196, 555, 1623, 3021, 3391, 4890, 5901, 7124, 7563, 555, 1468, 3021, 3825, 4870, 5413, 6996, 7563, 555, 1468, 3021, 3550, 4870, 5635, 6752, 7715, 859, 1468, 3064, 4006, 4615, 6149, 6589, 7717, 555, 1147, 2970, 3391, 4762, 6163, 7152, 7563, 4, 2 ]

[ 1, 64, 20, 5, 31, 16, 5, 41, 20, 63, 16, 64, 66, 5, 31, 14, 66, 5, 43, 48, 5, 76, 45, 65, 66, 5, 5, 3, 228, 2060, 2314, 3227, 5075, 5586, 6340, 7773, 240, 2002, 3084, 3586, 5012, 5219, 7006, 8045, 228, 2127, 2669, 4121, 5038, 6110, 6551, 7485, 228, 1898, 2833, 3595, 4638, 6175, 7232, 8237, 240, 2065, 2454, 3874, 4870, 5493, 6688, 8076, 228, 1756, 2340, 3966, 4344, 5660, 7129, 7716, 857, 1400, 2292, 3826, 4775, 5241, 6589, 8132, 685, 1566, 3130, 4102, 4795, 5333, 6224, 7279, 997, 1777, 2741, 3398, 4620, 5972, 6553, 8023, 875, 1213, 2693, 4138, 4738, 5810, 6549, 7560, 900, 1582, 2321, 3727, 4381, 5909, 6693, 7926, 943, 2081, 2966, 3270, 4963, 5712, 6998, 7864, 635, 1641, 3070, 3558, 4210, 5244, 7044, 7875, 1009, 1902, 2509, 3880, 4510, 5941, 7140, 8037, 938, 2124, 2423, 3496, 4506, 5954, 6811, 7990, 655, 2066, 2961, 3934, 5035, 5347, 6872, 8033, 556, 1757, 3094, 3536, 4706, 5636, 6674, 7400, 1067, 1438, 3019, 4053, 5151, 5447, 7106, 7420, 655, 1469, 2546, 4137, 4243, 5607, 7057, 7911, 482, 1988, 2346, 3256, 4468, 5812, 7000, 7733, 856, 1301, 3120, 3552, 4410, 5917, 6691, 7950, 996, 1723, 2294, 3950, 4531, 6105, 6692, 8061, 959, 1833, 2961, 3866, 4276, 5604, 7065, 7676, 216, 1608, 3150, 3752, 5153, 5223, 7154, 8260, 1059, 1770, 3151, 3380, 5128, 5982, 6615, 7386, 262, 1199, 2578, 3376, 4369, 5314, 6286, 7894, 888, 1723, 2578, 3960, 4514, 5205, 6746, 7912, 83, 1199, 2578, 3601, 4738, 6040, 6648, 7366, 571, 1523, 2710, 3777, 4589, 6064, 6486, 8128, 240, 1370, 2554, 3364, 4867, 6026, 6265, 7965, 789, 1851, 3095, 4113, 4717, 6085, 7087, 8261, 878, 2030, 2880, 3994, 4276, 5836, 6308, 7962, 440, 1600, 2165, 3364, 5014, 5978, 6605, 7941, 256, 2032, 3007, 3420, 4398, 6175, 6852, 8081, 256, 2030, 2866, 4041, 4583, 5908, 7082, 7723, 256, 2030, 2992, 3645, 4573, 5908, 7024, 8173, 256, 2030, 2880, 3550, 4536, 6103, 7120, 8266, 256, 2127, 2473, 4096, 4867, 6205, 6909, 8164, 878, 1750, 2340, 3440, 5157, 6205, 6607, 8130, 959, 1797, 3147, 3945, 4549, 6048, 7085, 7918, 676, 1383, 3090, 4067, 4907, 5715, 6682, 8256, 498, 2050, 3088, 3683, 4328, 5477, 6811, 7478, 498, 1156, 2948, 3880, 4650, 5615, 6304, 8146, 314, 1469, 2827, 3875, 4919, 5934, 6941, 7478, 784, 1215, 2966, 3878, 4684, 5361, 6469, 8229, 840, 1469, 2349, 3187, 4420, 5615, 6478, 7999, 150, 1309, 3149, 3858, 5154, 6156, 7047, 8123, 1062, 2070, 2273, 3858, 5154, 5803, 6295, 7954, 1062, 1757, 2864, 3667, 5019, 5512, 7181, 8165, 776, 1512, 2834, 3414, 4391, 5776, 6957, 8210, 610, 1386, 2800, 3713, 5095, 6032, 6393, 7758, 373, 1978, 2941, 3277, 4256, 5905, 6532, 7999, 373, 1463, 2151, 4115, 4555, 5678, 7045, 8267, 1084, 1770, 2151, 3748, 4555, 5301, 6241, 7894, 961, 1736, 2232, 4079, 4993, 6137, 6550, 8034, 776, 1139, 2656, 3773, 4323, 6113, 6828, 7927, 913, 1510, 3061, 3499, 5144, 5557, 6412, 8225, 1038, 1510, 2693, 3936, 4183, 5583, 7165, 7260, 1102, 1886, 3033, 3611, 4539, 5893, 7004, 7646, 317, 1656, 2381, 3671, 4364, 5965, 7217, 8242, 225, 1826, 2941, 3337, 4995, 5353, 6605, 7939, 225, 1826, 2971, 4089, 4297, 5438, 7010, 7279, 225, 2114, 2904, 4103, 4870, 5580, 6740, 7261, 225, 1750, 2830, 3891, 4344, 5548, 6704, 7753, 228, 1851, 2156, 3394, 4580, 5493, 7100, 7929, 240, 1750, 2554, 3595, 4890, 5844, 6677, 7303, 419, 2017, 2659, 3803, 4398, 5515, 6889, 7563, 419, 1304, 2806, 3595, 4555, 5963, 7077, 7677, 789, 1468, 3133, 4153, 4859, 5767, 7207, 7641, 225, 1264, 2473, 3796, 5139, 5550, 6486, 7716, 183, 1851, 2156, 3552, 5097, 5364, 6889, 7831, 617, 1633, 2792, 3277, 4225, 5262, 6963, 7557, 915, 1623, 2833, 3914, 4387, 5677, 6996, 8261, 488, 1623, 2914, 3550, 4890, 6211, 7077, 8147, 488, 1622, 2806, 3825, 4624, 6139, 6794, 8196, 860, 2017, 2806, 3825, 4704, 6139, 6794, 8196, 201, 1622, 2806, 3893, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 5635, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6186, 7124, 8223, 488, 1528, 3065, 3893, 4551, 5612, 6794, 8223, 886, 1752, 2436, 3707, 4646, 5220, 6627, 7785, 866, 2033, 2436, 3448, 4934, 6177, 6581, 7616, 612, 1510, 2346, 3936, 4897, 5367, 6328, 7525, 793, 1653, 3102, 4139, 4872, 5734, 6783, 7669, 840, 1375, 2346, 3525, 4919, 5415, 6224, 8161, 992, 1388, 2926, 3171, 4804, 5719, 7192, 8112, 103, 1821, 2675, 3960, 4437, 5637, 6339, 7625, 288, 2021, 2793, 3595, 4713, 5436, 6776, 7476, 317, 1146, 3147, 3595, 4945, 5360, 6370, 7777, 987, 1116, 2872, 3684, 5182, 5630, 6914, 8046, 216, 1782, 2294, 3904, 4593, 5485, 6848, 7905, 545, 2107, 2667, 3687, 4364, 5433, 7106, 7527, 582, 1116, 2309, 3329, 5004, 6154, 6622, 8048, 986, 1820, 2346, 3300, 4321, 6062, 6314, 8248, 893, 1808, 2309, 4007, 5127, 5874, 6743, 7495, 459, 1708, 2369, 3218, 4421, 6002, 6763, 8205, 487, 1816, 2232, 3498, 4800, 5492, 7165, 7765, 1035, 1561, 2799, 3448, 4604, 5536, 7033, 7481, 831, 1978, 2975, 3487, 5088, 5541, 6741, 7881, 390, 1581, 2754, 3639, 4501, 6201, 7132, 8266, 1090, 1146, 2985, 3487, 4447, 5968, 6935, 7898, 110, 1238, 2136, 3487, 5106, 5840, 7217, 7825, 663, 1992, 2866, 3964, 4215, 5385, 7207, 7290, 1056, 1931, 3006, 3945, 4872, 5834, 6852, 7420, 776, 1915, 2989, 4135, 4994, 5413, 6979, 7591, 113, 1670, 2936, 3991, 5108, 5824, 7232, 8145, 608, 1674, 2559, 3675, 4244, 5958, 7087, 7270, 988, 1531, 2232, 3578, 4788, 5774, 6307, 8211, 876, 1942, 2156, 3292, 4529, 5704, 7067, 7973, 487, 1397, 2355, 3372, 4644, 5643, 6474, 7906, 1024, 1112, 2593, 3341, 4402, 5863, 6735, 7954, 678, 1942, 2453, 4021, 5128, 6142, 6962, 7657, 663, 1570, 2366, 3933, 4214, 5792, 6987, 7887, 859, 1705, 3053, 3873, 5139, 5578, 7017, 7563, 617, 1750, 2833, 3933, 4435, 5296, 7041, 7918, 757, 1570, 2560, 3930, 4638, 6146, 6671, 8261, 118, 1510, 3021, 3827, 4844, 6146, 6607, 7913, 183, 1510, 2970, 3879, 4225, 5677, 6607, 7955, 183, 1958, 3048, 3815, 4733, 5824, 6604, 7664, 183, 1510, 2683, 4171, 4583, 5224, 6605, 7563, 183, 1564, 2340, 4145, 5138, 5610, 7120, 7781, 183, 1750, 3064, 3595, 4916, 5892, 6604, 8130, 256, 1623, 3133, 3352, 4298, 5385, 6584, 8130, 183, 1898, 2970, 4096, 4555, 5218, 7162, 8232, 105, 1706, 2792, 3407, 4890, 5901, 7077, 8261, 555, 1846, 2970, 4113, 4916, 5548, 7152, 8066, 419, 1468, 2941, 4174, 4387, 5493, 6909, 7664, 256, 1695, 3035, 4168, 4583, 5241, 6607, 7485, 183, 1684, 2554, 3928, 4555, 6137, 6607, 7476, 555, 1684, 2560, 3928, 5038, 6137, 6752, 7715, 797, 1684, 2729, 3893, 4704, 5892, 6752, 8147, 860, 2017, 2806, 3825, 4624, 5892, 6794, 7766, 860, 1528, 2806, 3893, 4704, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 5635, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 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, 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, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 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, 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, 65, 48, 5, 76, 69, 30, 5, 28, 14, 51, 5, 64, 52, 57, 52, 47, 5, 30, 23, 54, 5, 31, 16, 5, 52, 20, 55, 5, 54, 33, 63, 56, 5, 51, 16, 54, 14, 52, 5, 53, 39, 30, 5, 44, 54, 5, 43, 35, 5, 20, 54, 76, 35, 30, 5, 62, 63, 11, 42, 63, 34, 64, 5, 16, 54, 66, 45, 52, 5, 64, 17, 53, 5, 43, 17, 54, 30, 63, 16, 30, 78, 5, 17, 75, 5, 77, 11, 63, 30, 78, 5, 16, 76, 39, 3, 945, 1528, 2729, 4071, 4798, 6211, 6589, 8147, 860, 2017, 2806, 3825, 4704, 6139, 6996, 8147, 105, 2127, 2729, 4026, 4918, 5677, 6752, 7476, 183, 2127, 2287, 3815, 4700, 5584, 7098, 8086, 118, 1706, 2880, 3171, 4549, 6110, 6604, 8236, 334, 2088, 2432, 3555, 5053, 6149, 6610, 7664, 183, 1304, 2181, 3595, 4790, 5730, 6371, 7948, 183, 1508, 2432, 3391, 4214, 6182, 6740, 7707, 767, 1773, 2960, 3550, 5007, 5385, 6803, 7764, 335, 1206, 2593, 3918, 5072, 5980, 6816, 7291, 986, 2059, 2453, 4130, 5151, 5587, 7091, 7429, 807, 1762, 2292, 3355, 5040, 6101, 6884, 8254, 150, 1692, 2946, 3375, 4978, 5224, 7041, 7652, 643, 1164, 2924, 3337, 4215, 5609, 6354, 7721, 504, 1363, 2791, 4037, 4690, 5441, 6224, 7762, 386, 1424, 2564, 4047, 4780, 5745, 6704, 8120, 1025, 1562, 3092, 4097, 5040, 6135, 6270, 7677, 678, 1407, 2946, 3886, 4186, 5802, 6734, 7768, 970, 1318, 2492, 3561, 4215, 5836, 7239, 8006, 678, 1548, 2282, 3176, 4379, 5661, 7163, 7843, 643, 2061, 2133, 4006, 4855, 6174, 6350, 8217, 266, 1838, 2234, 3915, 4887, 6006, 6885, 7930, 314, 1655, 2225, 3850, 4834, 5321, 7114, 7263, 725, 1951, 2868, 3287, 4795, 6172, 6736, 7378, 487, 1510, 2267, 3340, 5078, 5543, 6847, 7911, 643, 1286, 2591, 3376, 4615, 5978, 7094, 7397, 512, 1827, 2792, 4166, 4980, 6026, 6809, 8188, 512, 1620, 3144, 3540, 4489, 5904, 6286, 8093, 512, 2041, 3008, 3710, 5061, 5942, 7077, 8195, 308, 2068, 2895, 4114, 5080, 5767, 7085, 7876, 684, 1847, 2980, 3982, 4822, 5534, 7006, 7949, 804, 2068, 2947, 3982, 4630, 6146, 6809, 7806, 804, 2125, 3007, 4071, 4551, 6205, 7201, 7723, 512, 1675, 2924, 4108, 5061, 5630, 6809, 8267, 893, 1821, 2484, 3603, 4834, 5715, 6838, 7303, 1017, 1651, 2365, 3584, 5107, 5668, 7028, 7442, 730, 1346, 2294, 3238, 5057, 5279, 6835, 7942, 179, 1794, 2271, 3303, 4823, 5982, 6965, 8182, 966, 2033, 2465, 3651, 4903, 5787, 6701, 7654, 326, 1520, 2343, 3814, 4664, 5396, 6949, 7986, 884, 2118, 2569, 3261, 4701, 5423, 6663, 7770, 868, 2118, 2816, 3354, 4604, 6192, 6835, 7625, 465, 2100, 2221, 3243, 4604, 6216, 7133, 7717, 923, 1575, 2165, 3316, 4267, 5540, 6237, 7477, 804, 1237, 2669, 3940, 4953, 5825, 7095, 8248, 552, 1750, 2839, 4115, 4549, 5407, 7217, 8193, 935, 2106, 2981, 3908, 4980, 5210, 6630, 8236, 552, 1750, 2586, 4145, 4630, 6063, 6810, 8195, 984, 1467, 2899, 3827, 4276, 5439, 6809, 7870, 757, 1964, 3062, 3803, 4918, 5630, 6515, 8039, 256, 1876, 2349, 3994, 4555, 5935, 6984, 7917, 256, 1937, 3062, 3891, 4888, 6195, 6840, 7303, 568, 2127, 3062, 3838, 5081, 5719, 7152, 7660, 568, 2127, 3062, 3969, 5138, 5515, 6607, 7677, 225, 1570, 2792, 3723, 4374, 5678, 6371, 7477, 225, 1736, 2554, 3681, 4918, 5837, 6840, 7750, 225, 2111, 2792, 3723, 4526, 5678, 7069, 8262, 225, 2088, 2918, 3376, 4398, 6117, 6909, 7844, 518, 2061, 2959, 3550, 4398, 6222, 7091, 7473, 240, 1752, 3068, 4071, 4859, 6182, 7043, 7865, 859, 1851, 2946, 4093, 4555, 5352, 6668, 7676, 617, 1623, 3133, 3803, 5135, 5296, 7201, 8266, 899, 1963, 2946, 3990, 4980, 5612, 6338, 8061, 160, 1858, 2941, 3934, 4549, 5586, 6589, 7707, 160, 2073, 2655, 3649, 4825, 5470, 6820, 7826, 160, 1786, 2658, 4163, 4379, 6020, 6878, 7559, 160, 1106, 2974, 3564, 4883, 5893, 7218, 8132, 1016, 1125, 2175, 4154, 4549, 5804, 6770, 7381, 992, 1499, 2175, 3274, 5005, 5700, 7156, 7361, 992, 1306, 2173, 3504, 4935, 6113, 7156, 7466, 888, 1125, 2716, 3496, 4399, 6210, 6487, 8013, 535, 1199, 2162, 3417, 4442, 5249, 6767, 7435, 1029, 1350, 2667, 3668, 4725, 5410, 6563, 7405, 104, 1389, 2667, 3517, 4417, 5473, 6935, 7260, 150, 2050, 2383, 3991, 4298, 5288, 6561, 7395, 504, 1674, 2373, 3623, 4772, 5833, 6623, 7963, 1029, 1838, 2725, 3868, 5042, 5936, 6354, 7408, 887, 1594, 2137, 3167, 4379, 5851, 6623, 7516, 150, 1838, 2871, 3273, 4410, 6187, 6728, 8218, 504, 1812, 2137, 3940, 4381, 5616, 6869, 7318, 643, 1838, 2372, 3398, 5066, 5233, 6730, 7740, 150, 1217, 2568, 4047, 5179, 5264, 7184, 7842, 504, 1592, 2894, 3454, 5030, 5538, 6730, 8181, 386, 1469, 2956, 4096, 5030, 5568, 7193, 7547, 504, 1469, 3091, 3667, 4496, 5681, 7177, 8017, 643, 1469, 3091, 4152, 4994, 5280, 6830, 7954, 150, 1468, 2966, 3623, 4978, 5775, 6941, 7898, 643, 1818, 2490, 3630, 4687, 5866, 7078, 7976, 150, 1110, 2490, 3577, 4211, 6203, 7023, 8261, 643, 1469, 2492, 3361, 4542, 5305, 6844, 7424, 1081, 1469, 2167, 3750, 4994, 5346, 7017, 7383, 940, 2066, 2493, 3191, 4576, 5948, 6623, 7831, 1081, 1974, 2167, 3962, 4781, 5640, 6986, 7764, 940, 1974, 2732, 4093, 4583, 5850, 6623, 7806, 1081, 1407, 3092, 3697, 4902, 6107, 7103, 7768, 940, 1141, 3144, 3471, 4813, 5462, 6710, 8085, 1101, 1510, 2638, 3356, 4421, 5250, 6910, 7248, 632, 1286, 2725, 4037, 4959, 5357, 6960, 7350, 725, 1164, 2353, 3960, 5198, 5745, 6265, 7658, 1101, 1948, 2355, 3363, 4546, 5415, 6467, 7248, 986, 1779, 2355, 3363, 5040, 5257, 7043, 7451, 1025, 1164, 2369, 3579, 5031, 6023, 6283, 7902, 103, 1441, 2531, 3943, 4337, 5298, 6446, 7793, 103, 1167, 2655, 4037, 4259, 5325, 6804, 7547, 103, 1948, 2559, 3960, 4360, 5706, 7043, 7367, 103, 1779, 2783, 3497, 5015, 5792, 6800, 7720, 304, 1286, 2842, 3904, 5083, 5764, 7120, 7919, 684, 2000, 2783, 3873, 4890, 5705, 6677, 7641, 304, 2063, 3021, 4114, 5061, 5981, 7010, 8076, 804, 1791, 2783, 3886, 4888, 5968, 6979, 8083, 512, 2000, 3007, 4145, 5104, 5694, 7201, 8260, 308, 1998, 3064, 4145, 4822, 5942, 6734, 7631, 757, 1503, 2783, 4007, 4720, 5935, 7232, 7476, 189, 1924, 2453, 4045, 4635, 5656, 6884, 8046, 814, 1653, 2736, 4137, 4228, 5387, 7243, 7943, 339, 1434, 2568, 3287, 4800, 5734, 6932, 7709, 296, 1653, 2725, 3169, 4819, 5955, 7231, 8181, 873, 1818, 2309, 4072, 4238, 5575, 7129, 8193, 320, 1346, 2956, 3957, 4308, 6050, 6663, 8026, 763, 2061, 2495, 3175, 4410, 5589, 6627, 7767, 508, 2055, 2822, 3796, 4864, 5611, 6718, 8197, 508, 1682, 2830, 4076, 4874, 5799, 6497, 7736, 508, 2033, 2643, 3661, 4330, 5971, 6295, 8248, 508, 1520, 3138, 3524, 4495, 5202, 7097, 7273, 508, 1140, 2553, 3661, 4364, 6065, 6470, 7853, 691, 1151, 2248, 3394, 4928, 5744, 6869, 7367, 923, 1404, 2194, 3486, 4414, 5727, 6493, 7402, 575, 1303, 3040, 3702, 4414, 5202, 7059, 7473, 386, 1183, 2189, 3263, 4828, 5348, 6308, 8252, 504, 1183, 2445, 3855, 4984, 5964, 7085, 7685, 643, 1947, 2586, 3394, 4729, 6118, 6415, 7263, 1081, 1783, 2137, 3557, 5026, 5559, 6782, 7582, 1025, 1848, 2137, 3873, 4319, 6064, 6324, 8107, 386, 1984, 2189, 3918, 4795, 5600, 6671, 8229, 504, 1782, 2189, 3684, 4912, 5337, 6874, 8054, 940, 1675, 2189, 3842, 4334, 5413, 6918, 7557, 678, 1797, 3033, 3352, 4859, 6181, 6979, 8170, 288, 1847, 3092, 3771, 4533, 5765, 7164, 7508, 684, 2000, 3143, 4171, 5080, 5413, 6677, 8034, 684, 2000, 2860, 3990, 4782, 6120, 6988, 7768, 405, 1833, 2352, 3982, 4179, 5910, 6604, 8076, 881, 1199, 2863, 4097, 4348, 5413, 7197, 8114, 845, 1542, 3066, 3198, 4333, 5447, 7186, 7740, 736, 1129, 2887, 3273, 4495, 5585, 7140, 7769, 917, 2048, 2173, 4016, 5031, 6167, 6404, 7873, 1029, 1969, 2173, 4016, 4364, 5615, 6887, 7777, 465, 1447, 2173, 3610, 4604, 6068, 6700, 8096, 610, 1740, 2660, 3497, 5041, 6010, 6267, 8125, 1025, 1185, 2858, 3556, 4321, 5777, 6225, 7939, 643, 2079, 3040, 3736, 4321, 5469, 6626, 7879, 104, 1440, 2530, 3648, 4659, 5585, 6623, 7810, 1090, 2050, 2503, 4153, 4321, 5586, 6477, 8041, 887, 1335, 2970, 3934, 5080, 5611, 6456, 7962, 104, 1633, 2677, 4171, 5032, 5221, 6820, 8265, 1005, 2008, 3092, 3755, 4808, 5610, 6941, 7657, 1001, 1350, 2173, 3381, 5083, 5673, 7237, 7674, 1001, 1106, 2173, 3568, 5145, 6075, 6295, 8157, 1001, 1843, 3090, 3205, 4291, 6002, 6773, 7986, 1063, 1478, 2636, 3856, 5081, 5469, 6562, 8193, 1022, 1106, 2653, 3635, 4722, 6077, 6651, 7598, 1008, 1248, 2231, 3999, 4470, 5650, 6436, 7710, 1030, 1106, 2716, 3388, 4310, 5988, 6612, 7933, 1030, 1499, 2286, 3165, 4875, 5564, 6950, 8113, 1030, 1633, 2495, 3584, 4674, 5911, 6936, 7795, 150, 2100, 2409, 3953, 5114, 6053, 6782, 7755, 1063, 2026, 2476, 3847, 4428, 6213, 6580, 7917, 738, 2026, 2441, 3238, 4658, 5633, 6413, 8099, 1025, 1179, 2224, 3374, 5145, 6217, 7076, 7312, 1025, 1376, 2965, 3371, 4796, 5387, 6860, 7604, 643, 1179, 3078, 3975, 5138, 5439, 6668, 8031, 887, 1871, 2750, 3699, 4592, 5294, 6734, 7813, 150, 1633, 2801, 3201, 5079, 6087, 6565, 7488, 610, 1782, 2996, 4078, 5061, 5694, 6809, 7768, 1025, 1924, 2503, 3540, 4918, 5413, 6515, 7527, 1025, 1858, 2970, 3440, 5115, 5883, 7218, 7991, 1025, 1858, 2591, 4166, 4536, 5797, 6710, 8266, 1025, 1141, 2444, 3540, 5075, 5678, 6774, 8146, 1025, 1858, 2591, 4166, 4822, 5981, 7004, 8093, 1025, 1858, 2330, 3390, 4615, 6085, 6809, 7313, 955, 1791, 2946, 3885, 4942, 5548, 7023, 8195, 955, 1244, 2480, 3838, 4305, 5765, 6850, 8083, 887, 1255, 2484, 3593, 5129, 6195, 7201, 7421, 1090, 1335, 3064, 4145, 4954, 6175, 7030, 8185, 1025, 1717, 2167, 4145, 5165, 5929, 6776, 8266, 610, 1306, 3080, 3917, 4343, 5586, 7239, 7846, 887, 1116, 3042, 4078, 4748, 6048, 6830, 7927, 221, 1703, 2696, 3486, 4800, 5656, 6970, 7358, 774, 1349, 2248, 4072, 4709, 5316, 7022, 8234, 884, 1325, 2487, 3697, 4661, 5313, 7123, 7547, 459, 1193, 2869, 3928, 4450, 5648, 6898, 7466, 459, 1349, 2769, 3899, 4797, 5298, 6814, 7261, 910, 1139, 2361, 4056, 5031, 5304, 7003, 8268, 873, 2117, 2869, 3404, 4818, 5304, 6783, 7367, 242, 1850, 2309, 3568, 4364, 5776, 7042, 7997, 242, 1934, 2355, 3193, 4961, 6206, 6304, 7902, 691, 1934, 3080, 4059, 4256, 6034, 7121, 7531, 536, 1408, 2951, 4003, 4554, 5410, 6252, 7277, 494, 1512, 2877, 4003, 4799, 6142, 6865, 7629, 1016, 1224, 2905, 4015, 4799, 5441, 6458, 7693, 1016, 1224, 2511, 4037, 4508, 6050, 6316, 7519, 344, 1700, 2951, 3902, 5073, 6213, 7075, 8089, 1016, 1893, 2878, 3648, 4187, 5965, 7144, 8085, 1016, 1930, 2878, 3948, 4731, 5265, 6328, 7394, 1016, 1930, 2878, 3471, 4575, 6077, 7147, 8188, 1016, 1930, 2905, 3728, 5138, 5700, 7051, 7636, 888, 1865, 2716, 3276, 4536, 5796, 6813, 7648, 1022, 2070, 2474, 3937, 5019, 5716, 6325, 7839, 1022, 1825, 2515, 3960, 5005, 6005, 6854, 7795, 1001, 1660, 3151, 3649, 4358, 5653, 6825, 8081, 1025, 1855, 2996, 3427, 4901, 5397, 6792, 7827, 643, 1897, 2923, 4138, 5142, 5834, 7205, 8255, 887, 2035, 2167, 3890, 5148, 5678, 6734, 7290, 1081, 2035, 2993, 4074, 4925, 5850, 7069, 7584, 684, 1939, 2326, 4085, 5165, 5850, 6540, 7876, 337, 1874, 2880, 3671, 4704, 6195, 6996, 8147, 984, 1700, 3144, 4150, 5060, 5378, 6972, 8260, 475, 1998, 2860, 3440, 4549, 5968, 6786, 8083, 579, 2088, 3046, 3603, 4344, 5700, 6715, 7891, 256, 1176, 2455, 3391, 4470, 6149, 6719, 8179, 489, 1510, 2596, 3515, 4890, 5587, 6607, 7715, 403, 1281, 3075, 4149, 4225, 6172, 7047, 7686, 685, 1777, 2775, 3533, 4762, 5968, 7222, 7385, 1101, 1982, 2378, 3928, 4588, 5702, 7073, 7846, 725, 1794, 2741, 3295, 4421, 5413, 6890, 7602, 887, 1758, 2678, 3727, 4256, 5254, 6224, 7872, 887, 1255, 2167, 3920, 4430, 5761, 6283, 7718, 1081, 1782, 2868, 3370, 5166, 5202, 6725, 7716, 610, 1773, 2750, 3755, 5020, 6075, 6410, 8185, 1025, 1881, 2750, 3440, 4308, 5944, 6810, 7508, 610, 1809, 2455, 3828, 4622, 6151, 6632, 7715, 610, 1773, 2750, 3917, 5187, 5730, 6760, 7846, 610, 1782, 2868, 3370, 4912, 5968, 7149, 7870, 1081, 1238, 2232, 3671, 4622, 5983, 6852, 8252, 465, 1974, 2261, 3442, 4539, 5270, 6257, 8213, 1070, 1346, 2750, 3604, 5031, 6019, 6456, 8133, 1041, 1940, 2725, 4037, 4543, 5731, 6890, 8235, 242, 1140, 3018, 3448, 4760, 5889, 6592, 7967, 886, 1703, 2346, 3386, 5023, 5414, 6480, 8127, 873, 1309, 2678, 3329, 4541, 5453, 6255, 7360, 886, 1140, 2917, 4026, 4228, 6114, 6348, 8207, 1052, 1270, 2725, 3770, 4339, 6178, 6473, 7962, 996, 1154, 3090, 3229, 4960, 6044, 6598, 8180, 319, 1737, 2271, 4074, 4916, 5935, 6628, 7369, 296, 1140, 2487, 4072, 4563, 5979, 6820, 7985, 581, 1633, 2343, 3759, 4602, 5771, 7041, 8108, 192, 1885, 2750, 3920, 5188, 5526, 6984, 8033, 691, 1702, 2871, 3648, 5155, 5291, 6573, 8191, 572, 1904, 2465, 4007, 4916, 5933, 7163, 7488, 192, 1326, 2627, 3245, 4604, 6145, 6793, 7948, 192, 1326, 2166, 3245, 4364, 6010, 6408, 7722, 192, 1596, 2156, 4004, 4945, 5791, 6978, 7955, 371, 1805, 2293, 3582, 4298, 6087, 6550, 7579, 482, 1786, 3061, 3964, 4298, 5403, 6249, 7349, 482, 1786, 3070, 3356, 4437, 5212, 6569, 7473, 482, 1658, 3091, 4072, 4514, 6145, 7169, 8230, 100, 1697, 2542, 3943, 4298, 5876, 6478, 7748, 738, 1653, 2814, 3702, 4760, 5933, 7088, 7625, 1030, 1682, 2265, 3356, 4806, 6181, 6847, 7381, 961, 1679, 2748, 4073, 4815, 5603, 7072, 7859, 738, 1524, 3139, 3398, 4396, 5793, 6286, 7996, 1001, 1833, 2274, 3568, 5041, 5512, 6697, 7610, 1038, 1524, 2576, 3537, 4541, 5272, 7055, 7765, 1016, 1740, 3046, 3421, 4738, 5714, 7138, 7331, 802, 1524, 2175, 3419, 4429, 5876, 7234, 7793, 508, 2048, 2175, 4163, 4588, 5801, 6603, 8201, 693, 1524, 2553, 4163, 4752, 6118, 7158, 7265, 917, 1786, 3078, 3564, 4955, 6058, 6408, 7384, 923, 2120, 2868, 3497, 4800, 5598, 6522, 7982, 91, 1104, 2748, 3601, 5168, 5353, 7184, 7611, 390, 2065, 2340, 4009, 5138, 6175, 6935, 7776, 308, 2032, 2900, 3361, 4554, 5385, 7002, 7810, 105, 2106, 2730, 4089, 5007, 6131, 6256, 8262, 859, 1971, 2880, 3777, 5040, 5752, 6688, 7291, 555, 2127, 2806, 3914, 5135, 5901, 7091, 8147, 555, 2017, 3021, 3891, 4512, 5677, 7132, 8080, 186, 1648, 2806, 3891, 4512, 5534, 6996, 8076, 488, 1622, 2914, 3893, 4624, 6139, 6752, 7715, 555, 1648, 2858, 3827, 5138, 5678, 7090, 7865, 555, 1750, 2833, 4071, 4512, 5677, 7124, 7715, 555, 1648, 3021, 3374, 5159, 5515, 7124, 7865, 915, 1648, 2970, 3914, 4798, 5811, 7077, 8223, 915, 2017, 2833, 3391, 4387, 5677, 6996, 8261, 915, 2017, 2970, 3893, 4681, 5811, 6584, 7949, 915, 2017, 2858, 3891, 4624, 5635, 7077, 8080, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2806, 3825, 4704, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1528, 2164, 3893, 4624, 5635, 7124, 8196, 223, 1331, 2838, 3945, 5022, 5761, 7006, 8083, 752, 1778, 2429, 3983, 4630, 6146, 7239, 7643, 1035, 1782, 2429, 3731, 4596, 5595, 7162, 8179, 1035, 1782, 2429, 3731, 4764, 6165, 7099, 8205, 752, 1993, 2440, 3410, 5115, 5824, 7139, 7846, 752, 1770, 2136, 3271, 5122, 6204, 6774, 8077, 650, 1350, 2440, 3999, 5075, 5695, 6377, 7537, 160, 1663, 2440, 3660, 5115, 5425, 6507, 7584, 536, 1139, 2564, 3170, 4762, 5491, 6478, 7908, 766, 1586, 2987, 3759, 4275, 5993, 7140, 8171, 326, 1669, 2817, 3265, 5142, 5810, 6773, 7577, 374, 1118, 2309, 3387, 5142, 5800, 6242, 7501, 988, 1561, 2309, 3421, 4737, 5940, 6945, 8046, 839, 1289, 2751, 3337, 5109, 5396, 6774, 7303, 881, 1692, 2222, 3337, 5101, 5827, 6768, 7881, 902, 1289, 2877, 3239, 4785, 5710, 7004, 7994, 807, 1773, 2688, 3442, 5075, 5223, 7215, 7869, 845, 1118, 2506, 4072, 4412, 6119, 6995, 7436, 487, 1140, 2697, 3171, 4448, 6028, 6984, 7773, 986, 1653, 2221, 3340, 4785, 5776, 6283, 8140, 103, 1335, 2644, 3812, 4495, 5837, 6563, 7898, 160, 1958, 3062, 3455, 4810, 6141, 6611, 8222, 844, 1125, 2544, 3697, 4804, 5474, 6859, 7574, 536, 1633, 2688, 3851, 4604, 5702, 6478, 7811, 536, 1286, 2688, 3486, 5069, 5286, 7187, 7712, 536, 1636, 2366, 3596, 4239, 5659, 6478, 8044, 887, 1930, 3032, 3610, 4939, 5223, 7065, 7976, 465, 1290, 3032, 3340, 4598, 5445, 6768, 8266, 844, 1993, 3046, 4074, 4384, 6181, 6903, 7532, 844, 1196, 3101, 4074, 4598, 6118, 6954, 7705, 390, 1196, 2232, 3891, 5052, 5963, 6810, 7557, 1035, 1600, 2709, 3407, 4849, 5942, 7001, 7962, 952, 1700, 2941, 3922, 4622, 5218, 6885, 7722, 572, 1581, 2343, 3298, 4856, 6059, 6701, 7483, 319, 2111, 2724, 3214, 4350, 5872, 7048, 7650, 319, 1703, 2848, 3766, 4437, 6010, 6569, 7904, 536, 1934, 2163, 3455, 4364, 5745, 6849, 7620, 536, 1408, 2173, 4072, 4883, 5989, 6883, 7256, 536, 1151, 2268, 4072, 4332, 5491, 6478, 7758, 536, 1512, 2951, 3354, 4332, 6167, 6254, 8104, 465, 1512, 2951, 3584, 4662, 6183, 6352, 7772, 150, 1338, 2951, 3821, 4876, 5814, 6924, 7518, 1008, 1250, 2951, 3999, 5175, 5621, 6878, 8165, 1016, 1306, 2424, 3939, 5198, 6044, 7214, 7480, 344, 1396, 2951, 3277, 4444, 5848, 6254, 8034, 277, 1332, 3054, 3313, 4483, 5381, 6657, 7850, 876, 1658, 2327, 3792, 4911, 5880, 7214, 7524, 803, 1112, 2740, 4037, 4499, 5321, 6644, 7620, 738, 1653, 3003, 3560, 4396, 5729, 6716, 7815, 774, 1582, 2951, 3632, 4639, 5729, 7059, 8035, 581, 1843, 3090, 3408, 4755, 5588, 6328, 7274, 1030, 1248, 2446, 3288, 4819, 5819, 7174, 8026, 494, 1248, 2130, 4088, 4678, 5358, 6981, 7376, 738, 2075, 2286, 3404, 4803, 5585, 6992, 8205, 581, 1897, 2951, 3736, 4550, 5905, 6807, 7996, 814, 1641, 3049, 3778, 4531, 6202, 6667, 8128, 271, 1582, 2171, 3211, 4607, 6020, 6874, 7649, 993, 1248, 2613, 3223, 5109, 5891, 6535, 7682, 1025, 1462, 2741, 3517, 4738, 5614, 6784, 7967, 641, 1915, 2659, 3929, 5164, 5785, 6952, 7521, 1025, 1581, 2129, 3152, 5165, 5802, 6710, 7901, 610, 1370, 2740, 3201, 4592, 5413, 6726, 8208, 610, 2001, 2610, 3826, 5106, 5216, 6612, 7631, 610, 1561, 2163, 3201, 5088, 6171, 6348, 7476, 1025, 1804, 2991, 3928, 4980, 5610, 6771, 7996, 1025, 1901, 2381, 3833, 4774, 5515, 6480, 7648, 643, 2035, 2554, 3175, 5020, 6222, 6755, 7641, 386, 1469, 2422, 3456, 5199, 5993, 6660, 7296, 504, 1469, 3005, 3653, 5030, 5664, 7241, 8205, 784, 1788, 2137, 4101, 4572, 5899, 6421, 7873, 1101, 1655, 2901, 3233, 4541, 5824, 6760, 8170, 725, 1794, 2564, 3573, 4334, 5276, 6591, 8132, 684, 1424, 2960, 3983, 4782, 5942, 7120, 7776, 684, 1682, 3053, 4085, 4870, 6051, 7132, 7260, 804, 1562, 2991, 3929, 4630, 5534, 6979, 8260, 510, 2068, 3064, 3516, 5139, 6131, 6515, 8267, 510, 2001, 2164, 3645, 4704, 5534, 7168, 8076, 510, 2068, 3043, 4166, 4888, 5883, 7010, 7570, 956, 1622, 3043, 3188, 5080, 5832, 7239, 8267, 811, 1750, 2340, 3710, 4366, 6051, 6671, 7476, 541, 2088, 2221, 4170, 4877, 5612, 6898, 7717, 405, 1833, 2258, 4151, 4954, 5920, 6291, 8066, 802, 1324, 3060, 3429, 5127, 5731, 6796, 7807, 803, 1783, 2951, 3802, 4371, 5649, 7050, 7265, 1029, 1742, 2776, 4037, 4286, 6196, 7206, 7400, 768, 1707, 2951, 4044, 4729, 6098, 6995, 7279, 536, 1582, 2141, 3712, 4425, 5615, 7112, 7699, 673, 1582, 3101, 3972, 4911, 5867, 6502, 7317, 1063, 2053, 2275, 3446, 4790, 5673, 6795, 8157, 887, 1679, 2175, 4072, 4589, 5536, 6784, 7545, 104, 1838, 2559, 4015, 4991, 6044, 7100, 7676, 955, 2091, 2387, 3602, 4470, 5923, 6592, 8145, 211, 1831, 2860, 3967, 4630, 5832, 6852, 7981, 804, 1581, 3060, 3361, 4554, 5832, 7163, 7557, 663, 1750, 2860, 4135, 5183, 5204, 6613, 8076, 779, 1933, 2860, 4085, 4343, 5360, 6668, 7664, 110, 1833, 2975, 3994, 4849, 5953, 6784, 7995, 1035, 2024, 2771, 3918, 4641, 6217, 7069, 7887, 802, 1118, 2345, 3396, 4651, 5269, 6480, 7624, 814, 2079, 2440, 3850, 5096, 5980, 6619, 7574, 665, 1141, 2636, 3434, 4795, 6170, 7166, 8173, 137, 1758, 2848, 3421, 5193, 5224, 6802, 8137, 876, 1653, 3055, 3605, 4595, 6002, 6493, 7481, 996, 1653, 2987, 4007, 4962, 5428, 6498, 7271, 996, 1553, 2987, 4037, 4803, 5983, 6535, 7725, 996, 1306, 2987, 3309, 4636, 6220, 6910, 7261, 806, 1567, 2271, 4037, 5001, 5689, 6234, 8046, 715, 2006, 3101, 3372, 4589, 5880, 6726, 7442, 225, 2041, 2989, 3723, 5159, 5954, 7094, 8164, 225, 2060, 2356, 3562, 4863, 5767, 7160, 7908, 195, 2002, 2951, 4047, 5088, 5723, 7246, 7563, 518, 1756, 2941, 3540, 4709, 5378, 6884, 8098, 654, 1564, 2791, 3605, 5197, 5219, 7069, 7563, 654, 2111, 3147, 3723, 4580, 6195, 7146, 8262, 518, 2127, 2554, 3595, 5007, 5677, 6338, 7602, 195, 2061, 2221, 3891, 4611, 5296, 7160, 7732, 225, 1756, 2729, 3376, 4737, 5514, 6265, 8266, 228, 1345, 2959, 4111, 5168, 5344, 6786, 7865, 256, 1826, 2654, 3827, 5168, 6085, 7047, 7831, 555, 1528, 2858, 3595, 4888, 5515, 7132, 7664, 419, 2017, 3095, 3803, 4329, 5981, 6612, 8260, 915, 1622, 2806, 3550, 4287, 5515, 7132, 7716, 419, 2017, 3065, 3595, 4859, 5241, 6338, 7715, 105, 1750, 3021, 3550, 4798, 5610, 6612, 8147, 915, 1974, 2833, 4071, 5120, 6081, 6486, 7715, 555, 1648, 2970, 3827, 5138, 5677, 6291, 7485, 555, 1147, 2970, 3851, 4622, 5515, 7129, 7927, 555, 1648, 3021, 4068, 4512, 5677, 7129, 8261, 419, 1648, 3147, 3595, 4512, 6137, 6338, 7716, 915, 1528, 3021, 3893, 4512, 5677, 6996, 7715, 555, 1974, 3021, 3595, 5079, 6137, 6338, 7715, 555, 1648, 2164, 3391, 4877, 5550, 6612, 7865, 915, 1528, 2858, 3595, 4387, 5515, 6752, 7766, 555, 1648, 2833, 3374, 5138, 5515, 7120, 7865, 915, 1528, 3021, 3391, 4387, 5677, 6996, 7715, 488, 2017, 3117, 3367, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 1622, 2164, 3893, 4512, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 1648, 2806, 3893, 4512, 6139, 7124, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 6794, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2806, 3825, 4798, 6081, 6794, 7766, 337, 2073, 2957, 4113, 4822, 5635, 6688, 7723, 440, 1972, 2593, 4135, 5085, 6085, 6750, 8236, 408, 1407, 2971, 3332, 4533, 6088, 7005, 7790, 1003, 1151, 2667, 3686, 4547, 6113, 7117, 7810, 1098, 1346, 2141, 3251, 5165, 5200, 6784, 7826, 692, 2047, 2959, 3493, 4576, 5778, 6772, 8235, 216, 1668, 2895, 3955, 5106, 6166, 7046, 7421, 401, 1562, 2629, 3886, 4981, 5694, 7222, 8010, 390, 1233, 2560, 4011, 4622, 5216, 6979, 7865, 804, 2073, 3095, 3371, 4828, 5981, 7006, 7838, 914, 1847, 3043, 3982, 4630, 5241, 6852, 8147, 195, 1593, 2886, 3356, 4638, 5811, 7082, 7574, 195, 2127, 2316, 4166, 4918, 5901, 6579, 8034, 183, 1147, 2210, 3407, 4555, 6048, 6732, 7298, 767, 1736, 2826, 3470, 4982, 5665, 6270, 7908, 802, 1311, 3097, 3155, 4816, 5390, 7000, 7811, 1024, 1498, 2156, 3466, 4901, 5221, 6605, 8017, 938, 1509, 2579, 3511, 4705, 5589, 6470, 7660, 981, 1463, 2995, 3511, 4669, 5204, 6754, 7800, 1024, 1723, 2346, 3515, 4943, 5506, 7158, 7263, 1035, 1596, 2247, 3592, 4439, 5778, 6944, 8201, 401, 1986, 2480, 3592, 4561, 5745, 7047, 8019, 715, 1508, 2579, 3776, 5127, 5296, 7127, 8137, 195, 2091, 2974, 4015, 4807, 6122, 6365, 8130, 195, 1597, 2579, 4015, 5079, 5908, 6241, 7367, 654, 2060, 2718, 3723, 4536, 5223, 6551, 8151, 518, 1961, 2942, 3394, 5127, 5837, 7006, 7664, 518, 1756, 2340, 3376, 4622, 5296, 6632, 7918, 568, 1961, 3064, 3674, 4918, 5678, 6291, 7494, 859, 1961, 2792, 3231, 5138, 5963, 6996, 8061, 391, 1563, 2798, 4037, 4580, 5677, 6507, 8266, 761, 1346, 2240, 3216, 5186, 5320, 6676, 7841, 547, 1843, 2636, 3826, 4176, 6106, 6934, 7743, 547, 1407, 2393, 3869, 4210, 5345, 6871, 7521, 401, 1833, 2421, 3671, 4869, 5571, 6581, 7957, 160, 1924, 2167, 3674, 5169, 5899, 7069, 7720, 304, 1791, 3008, 4150, 5060, 6205, 6709, 7264, 1037, 1587, 2991, 4011, 4276, 5612, 7084, 7806, 709, 1218, 3022, 3987, 5159, 6128, 6410, 7510, 450, 1540, 2391, 3175, 4782, 5865, 6302, 7949, 1015, 1503, 2729, 3984, 4859, 5994, 6824, 7915, 1015, 1503, 2946, 3681, 4324, 5767, 7023, 8261, 1015, 2032, 2554, 3873, 5139, 5746, 6953, 7485, 1015, 1945, 2975, 4083, 4335, 5966, 7239, 7768, 959, 1675, 3150, 3975, 4324, 6087, 6685, 8213, 1033, 1503, 2598, 3756, 5140, 5223, 6529, 8185, 1098, 1183, 2385, 3965, 4653, 5376, 6680, 7583, 234, 1183, 2134, 3970, 4389, 6060, 6919, 8026, 402, 1503, 2796, 3981, 4448, 5579, 6408, 8152, 480, 1770, 2869, 3554, 5014, 5743, 6557, 7681, 335, 2091, 2842, 4004, 4882, 6061, 6453, 7574, 401, 1446, 2783, 3575, 5061, 6123, 6560, 7513, 216, 2059, 2754, 3511, 4725, 6119, 6734, 7762, 731, 1137, 2925, 4082, 4512, 5676, 6811, 7959, 216, 1778, 2925, 3206, 4512, 5565, 6809, 7260, 678, 1776, 2564, 3596, 4980, 5663, 6630, 8209, 678, 1705, 2858, 3840, 4602, 6051, 6677, 7887, 678, 1776, 2564, 3188, 4829, 5548, 6996, 8267, 678, 2073, 2677, 4171, 4825, 5981, 6830, 7922, 942, 1596, 3007, 4004, 4877, 5836, 7163, 7965, 1102, 1886, 3026, 3550, 5116, 6163, 6350, 8262, 938, 1736, 2633, 3575, 4606, 5654, 7132, 8005, 981, 1586, 2502, 3459, 4855, 6050, 6559, 8046, 1088, 2095, 2239, 3641, 4717, 5397, 6262, 7386, 987, 1496, 2946, 3710, 5147, 6125, 6262, 7451, 356, 1830, 2783, 3277, 5183, 5548, 6612, 7664, 684, 1794, 3144, 4093, 5159, 5515, 6671, 7806, 308, 1421, 2783, 3420, 4912, 5500, 6668, 7865, 308, 1851, 3135, 3533, 4859, 5389, 6889, 8209, 789, 1467, 2924, 4113, 4770, 5493, 6677, 7631, 256, 1915, 3135, 3945, 4549, 5892, 6668, 8130, 195, 1363, 2554, 3886, 4716, 5296, 6604, 7906, 654, 1345, 2783, 3413, 4795, 6103, 6715, 8130, 317, 1717, 2875, 3770, 4727, 6001, 7043, 7677, 1033, 2111, 2565, 3894, 5151, 6070, 6309, 7876, 692, 1982, 2469, 3981, 4503, 5823, 6283, 7737, 234, 1496, 2581, 4037, 4743, 5993, 6430, 7950, 1101, 1865, 3001, 4066, 4678, 5374, 6528, 8210, 684, 1682, 2727, 4005, 4801, 5678, 7017, 8061, 288, 1407, 2980, 3188, 5183, 5630, 7239, 7723, 684, 1467, 3135, 3710, 5169, 6085, 6338, 8237, 684, 1467, 3095, 3983, 5159, 5378, 6566, 8083, 684, 1797, 2957, 3983, 4888, 5832, 6972, 7720, 804, 1206, 3128, 4071, 4337, 6103, 7010, 8083, 317, 2125, 3053, 4094, 4700, 5830, 6224, 7908, 613, 1186, 2454, 3842, 5095, 5276, 6301, 7920, 103, 1439, 2701, 3218, 5020, 5429, 7047, 7367, 1033, 1708, 2874, 4057, 4350, 5730, 6663, 7887, 386, 1692, 2918, 3980, 4906, 6208, 6923, 7800, 266, 1561, 2987, 3754, 5138, 5978, 6901, 8149, 888, 1794, 2987, 3915, 4282, 6128, 6772, 7954, 803, 1507, 2189, 3770, 5103, 5714, 7038, 7899, 333, 1596, 2248, 3601, 4812, 6122, 6244, 7564, 100, 1458, 2639, 4158, 4848, 5311, 7154, 7622, 100, 1316, 2239, 3592, 4581, 6107, 6837, 8031, 100, 1982, 2951, 3652, 5141, 6141, 7053, 7519, 738, 1205, 2423, 3894, 4257, 5208, 6910, 7538, 482, 1205, 2687, 3802, 4442, 5240, 7089, 8234, 1063, 1407, 2951, 3912, 4499, 5654, 6921, 7840, 100, 1948, 2984, 3448, 4338, 5551, 7213, 8123, 100, 1388, 2361, 4053, 4928, 5381, 6736, 7640, 942, 1408, 2661, 3283, 4829, 5709, 7016, 7559, 1057, 1865, 3053, 3740, 4499, 5983, 6269, 8031, 1025, 1510, 2666, 3511, 4374, 5676, 6674, 7582, 643, 2033, 3055, 3991, 5081, 6061, 7181, 7883, 887, 1826, 2258, 3407, 4651, 5216, 6437, 7902, 684, 1218, 3038, 3803, 5159, 5573, 6771, 7677, 475, 1945, 2860, 4174, 4611, 5893, 6852, 7706, 317, 1773, 2971, 3886, 4644, 5514, 6430, 8061, 228, 1963, 2167, 3914, 4329, 5612, 6852, 7707, 317, 1116, 2461, 3540, 4586, 5983, 6958, 8130, 317, 1439, 3026, 3232, 4804, 5711, 7118, 7944, 613, 2002, 2842, 3347, 5157, 5936, 6612, 7363, 386, 1820, 3055, 4066, 4555, 5513, 7197, 7880, 266, 1758, 2568, 3754, 4595, 6002, 7170, 7880, 386, 1624, 2678, 3499, 4855, 5615, 6788, 7786, 504, 1582, 2579, 3430, 4755, 5981, 6734, 7290, 1025, 1318, 2493, 4003, 5187, 5521, 6649, 7570, 643, 1989, 2143, 3654, 4895, 5757, 6750, 7558, 401, 1620, 2984, 3908, 4489, 5904, 6891, 7664, 401, 2056, 2371, 3240, 4861, 5573, 6410, 7631, 940, 1747, 2789, 3842, 4856, 6025, 6786, 8185, 940, 1809, 2899, 3962, 5106, 5314, 6979, 8195, 955, 1916, 2925, 4011, 4856, 6205, 7132, 7948, 211, 1856, 3135, 3240, 5106, 5684, 7047, 8107, 1090, 2064, 2659, 4164, 4379, 5535, 6709, 7721, 1011, 1350, 2977, 3407, 5018, 5796, 6564, 8081, 1022, 1674, 2766, 4027, 5003, 5848, 6898, 8006, 1016, 1141, 2945, 3751, 5124, 5898, 6247, 7745, 1038, 2059, 2232, 3446, 4454, 5899, 6803, 7537, 996, 1858, 2378, 3262, 4802, 6135, 6611, 7549, 952, 1510, 3070, 4037, 5040, 5601, 6832, 8215, 886, 1835, 2987, 3765, 4734, 5600, 6630, 7898, 844, 1842, 2987, 3592, 4881, 6164, 6910, 8263, 407, 1695, 2987, 3627, 4364, 5354, 7125, 7842, 995, 1442, 2172, 3472, 5025, 6063, 6882, 8189, 913, 1842, 2309, 3971, 4748, 6117, 6340, 7651, 981, 1882, 2346, 3341, 4206, 5373, 6476, 8132, 715, 1442, 2669, 3298, 4334, 5276, 6684, 7842, 103, 1294, 2327, 3933, 5124, 5935, 6614, 8016, 996, 1280, 2669, 3965, 4949, 6135, 6528, 8040, 575, 1882, 2720, 3851, 4346, 6135, 6560, 7868, 1038, 1112, 2346, 3933, 4511, 6183, 6348, 7878, 103, 1614, 2654, 3596, 4667, 6135, 7075, 7270, 992, 1164, 2355, 3965, 4329, 5810, 6986, 7256, 489, 1842, 2309, 3159, 4881, 5624, 6498, 7497, 995, 1882, 3017, 3877, 4364, 6041, 6783, 8070, 489, 1842, 2309, 3933, 5090, 5934, 7028, 7962, 995, 1862, 2279, 3391, 4444, 6034, 6829, 7490, 995, 1289, 3104, 3363, 4364, 5809, 7140, 7727, 995, 2028, 2355, 3236, 5025, 5443, 7139, 8232, 489, 1118, 2576, 3596, 4597, 6002, 7043, 7385, 844, 1112, 2887, 3596, 4454, 5474, 6889, 7997, 613, 1919, 2715, 3792, 4818, 5689, 6987, 7777, 211, 2067, 2453, 3425, 5142, 6075, 6431, 7481, 804, 1847, 2872, 3363, 4447, 5515, 6740, 8266, 859, 1540, 2965, 3183, 4186, 5883, 6980, 7715, 818, 2017, 2991, 3827, 4589, 5705, 6677, 8083, 818, 1528, 3021, 4071, 4782, 5661, 6776, 7717, 818, 1528, 3117, 4114, 4912, 6186, 7120, 8260, 186, 1528, 3021, 3893, 4782, 5901, 7201, 7717, 915, 1147, 2806, 4145, 4624, 6103, 6677, 8260, 915, 1528, 3021, 3893, 4512, 6139, 6752, 7717, 555, 1695, 2781, 3595, 4681, 5684, 6988, 8237, 915, 1684, 2970, 3595, 4877, 6139, 7100, 8223, 555, 1648, 2970, 3827, 5138, 6149, 7077, 7865, 4, 2 ]

[ 1, 31, 16, 5, 51, 33, 63, 52, 16, 64, 54, 16, 64, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 488, 1648, 2914, 3893, 4624, 5635, 7124, 8196, 571, 2046, 2803, 4113, 5058, 6123, 6774, 8237, 962, 1125, 2856, 4005, 4437, 5822, 6293, 7727, 735, 1828, 2530, 3928, 4858, 5787, 6438, 7711, 994, 2071, 2225, 4122, 4347, 5938, 6528, 7921, 613, 2118, 2677, 4128, 5117, 5934, 6950, 7948, 488, 1797, 2754, 4074, 4834, 5981, 6734, 7256, 818, 2064, 2730, 3891, 4980, 6129, 7168, 7260, 818, 1218, 3095, 3945, 4276, 5832, 7111, 7720, 488, 1528, 3135, 3825, 5061, 5705, 7111, 7782, 818, 1218, 2925, 4174, 4782, 6085, 7239, 8260, 956, 1218, 3117, 3188, 4912, 5241, 7084, 7766, 818, 1528, 3117, 4018, 4888, 5661, 6794, 7806, 935, 2017, 2960, 4068, 4888, 6195, 7006, 8196, 818, 1528, 2991, 3201, 4888, 5705, 7218, 8066, 224, 1108, 2802, 3855, 4341, 5672, 6958, 7379, 878, 2106, 2370, 3681, 4359, 5419, 7051, 7304, 541, 1562, 2279, 3359, 4507, 5658, 7049, 8008, 356, 2127, 2925, 3732, 5143, 5514, 7091, 8135, 752, 1858, 2138, 3426, 4867, 6199, 6540, 8130, 840, 1388, 2801, 3807, 4717, 5212, 6622, 7964, 640, 1442, 2355, 3765, 4670, 5930, 6626, 7305, 1103, 1494, 2987, 3332, 4455, 5828, 6925, 8073, 876, 1494, 2987, 3296, 4386, 6221, 6307, 7873, 895, 1154, 2993, 3403, 4868, 6221, 6248, 7531, 271, 1888, 2968, 3771, 4995, 5411, 7003, 8255, 1067, 1758, 2724, 3421, 5077, 5400, 6995, 8215, 840, 1149, 2208, 3741, 4409, 5652, 6281, 7906, 492, 1743, 2314, 3939, 4726, 6111, 6582, 8086, 235, 1403, 2532, 3498, 4556, 5953, 7229, 8026, 770, 1669, 3038, 3936, 4248, 5632, 6830, 7736, 1067, 1199, 2728, 3409, 4510, 6000, 7099, 7676, 424, 1931, 2137, 3878, 5091, 5731, 6235, 7605, 663, 1716, 3061, 3975, 5127, 5908, 6829, 7394, 831, 1177, 2222, 3961, 4859, 5905, 6263, 7631, 610, 1572, 2975, 3864, 4855, 5890, 7246, 8041, 408, 1509, 2503, 3915, 4782, 5870, 6372, 7547, 104, 1146, 2706, 3643, 4440, 5320, 6763, 8050, 113, 1821, 2706, 3908, 4345, 6017, 6267, 8222, 1057, 1706, 2348, 3788, 4404, 5263, 6466, 7999, 715, 1349, 2941, 3756, 5103, 5605, 6605, 7438, 878, 1421, 2946, 3479, 4850, 5418, 6540, 8069, 568, 1116, 3052, 4018, 4181, 5364, 6571, 7870, 225, 1742, 3002, 3995, 5007, 6146, 6746, 8081, 195, 1758, 2562, 3550, 5193, 6097, 7168, 8128, 518, 1623, 3040, 4096, 5138, 5273, 7041, 8202, 240, 2106, 2946, 3680, 4555, 5580, 7077, 7717, 789, 1218, 2946, 4011, 5138, 6137, 6889, 7876, 510, 1998, 3110, 3886, 4580, 5963, 6579, 7631, 818, 2017, 3095, 3407, 4912, 5241, 6889, 7641, 512, 1945, 3043, 4071, 4551, 6085, 6979, 7421, 166, 1932, 2291, 3488, 5159, 6175, 6972, 8107, 150, 1255, 2678, 3971, 4451, 5219, 6349, 7930, 993, 1510, 2455, 3579, 4602, 5826, 7002, 7868, 1029, 1708, 2953, 4126, 4582, 6024, 6802, 8012, 536, 2118, 2803, 3167, 5138, 5988, 7051, 7888, 150, 1388, 2271, 3394, 4496, 5689, 6840, 7333, 610, 1562, 3032, 3710, 4588, 5515, 6657, 7918, 940, 1206, 2775, 3983, 4664, 5777, 6736, 7811, 183, 1494, 2924, 3900, 4980, 5824, 6762, 7615, 225, 1797, 2918, 4125, 4923, 6211, 6614, 7761, 225, 1750, 2669, 3370, 4859, 5810, 6349, 7811, 518, 2127, 2316, 3891, 4549, 5493, 7090, 7732, 518, 1750, 2469, 3332, 4877, 5901, 7006, 7720, 518, 2127, 2833, 3933, 4775, 5677, 7090, 7781, 518, 2127, 2775, 3933, 4611, 6163, 6612, 8216, 518, 2111, 2585, 3332, 4890, 5218, 6889, 7677, 228, 1938, 2242, 4083, 4715, 5740, 6338, 7509, 256, 2127, 2946, 3595, 4859, 5550, 7024, 7715, 518, 2111, 2466, 4153, 4601, 5678, 7160, 8130, 240, 2118, 3147, 4161, 5138, 5981, 7152, 7291, 256, 2127, 3040, 4145, 5166, 6157, 6996, 7537, 256, 2118, 2659, 3873, 5135, 6117, 6889, 8266, 419, 1623, 3133, 3891, 4583, 5241, 6717, 7677, 186, 1623, 2221, 3994, 4870, 5767, 7090, 8164, 201, 2111, 2806, 4171, 4704, 5901, 7098, 8076, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 555, 1648, 2833, 3391, 4387, 5635, 7077, 7664, 555, 1468, 3021, 3891, 5159, 6182, 7207, 8126, 555, 1750, 2858, 3914, 4870, 6139, 7124, 7715, 555, 1289, 3065, 3564, 4870, 5963, 7129, 8237, 555, 1648, 2833, 3391, 4622, 5550, 6688, 7717, 555, 1468, 3021, 3827, 4870, 5219, 6677, 7664, 4, 2 ]

[ 1, 43, 48, 78, 5, 20, 52, 5, 63, 26, 66, 5, 44, 51, 64, 33, 62, 66, 5, 41, 20, 63, 5, 43, 45, 78, 5, 43, 33, 30, 40, 51, 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, 2914, 3893, 4624, 5635, 7077, 7766, 915, 1648, 3021, 3825, 4624, 6186, 7207, 8196, 767, 1388, 2797, 4082, 4212, 5586, 6442, 7641, 402, 1550, 2697, 4096, 4762, 5746, 7169, 7389, 801, 1550, 2891, 4144, 4723, 5616, 6908, 8018, 772, 1669, 2384, 3332, 4795, 5863, 6577, 8149, 962, 1912, 2601, 3570, 4351, 5658, 7086, 7817, 702, 2008, 2794, 3687, 5043, 5938, 6422, 8230, 868, 1776, 2142, 3528, 4723, 5752, 7232, 7693, 1014, 2102, 2411, 3394, 4765, 5662, 6486, 8183, 1014, 2048, 2542, 4111, 4315, 5540, 6889, 7680, 127, 1540, 2560, 3811, 4638, 5796, 6410, 7677, 518, 1577, 2980, 3770, 5165, 6051, 7181, 7753, 1014, 1820, 2516, 3874, 4601, 5624, 7157, 7957, 868, 1628, 2339, 3610, 4539, 6112, 7069, 8244, 635, 1496, 2318, 3695, 4595, 5374, 6679, 7875, 1009, 1740, 2509, 3748, 4823, 5500, 7223, 7635, 360, 2050, 2299, 3466, 4748, 5833, 7214, 7539, 449, 1522, 2173, 4133, 4550, 5813, 6674, 8114, 368, 2095, 2888, 3252, 5191, 5347, 6293, 7559, 835, 1543, 3073, 3847, 4256, 5477, 6998, 7990, 774, 2081, 2948, 3262, 4327, 5313, 6693, 7329, 368, 1912, 2325, 3997, 4911, 6130, 7150, 7797, 494, 1912, 2325, 3520, 4609, 5480, 6293, 7381, 368, 1440, 3031, 3270, 5032, 6121, 7150, 7422, 339, 1543, 3123, 3479, 4557, 5660, 6743, 7318, 531, 1543, 2712, 3252, 4254, 5950, 6334, 7828, 1080, 1469, 3103, 3205, 4461, 5535, 6793, 7429, 784, 1129, 2888, 3804, 5021, 5568, 6754, 7710, 266, 1440, 2911, 3330, 4406, 5227, 7136, 7810, 249, 1950, 2325, 3703, 4364, 5332, 6851, 8123, 363, 1838, 2135, 3880, 4214, 5454, 6436, 7755, 1029, 1674, 3037, 3322, 4659, 6215, 6579, 8149, 981, 2033, 2240, 3989, 5134, 5717, 6722, 7722, 504, 1479, 2747, 4126, 4857, 5362, 7202, 7586, 1029, 1424, 2541, 3656, 4485, 5582, 7066, 8227, 150, 1456, 2331, 3477, 5073, 5444, 7192, 7812, 784, 1571, 2871, 3444, 5174, 5435, 6293, 7627, 728, 1571, 2511, 3384, 4827, 5790, 6546, 7912, 493, 1338, 2142, 3843, 4920, 5301, 6697, 7740, 546, 2050, 2638, 3747, 4657, 6135, 6293, 7725, 584, 1940, 3040, 4102, 5049, 5970, 7238, 7748, 302, 1548, 2810, 3486, 5031, 6179, 6505, 7576, 584, 1604, 2907, 3366, 4882, 6121, 6594, 8149, 668, 1940, 3088, 3425, 4818, 6036, 6610, 7621, 302, 1283, 2134, 3483, 5005, 6022, 7142, 8047, 1017, 2095, 3088, 3394, 4539, 6219, 6864, 7535, 900, 1834, 2972, 3237, 4358, 5558, 6315, 8263, 900, 1164, 2427, 3314, 4697, 6194, 6908, 7248, 900, 1561, 2543, 3785, 4306, 5558, 6501, 7313, 465, 1732, 2869, 3673, 4321, 5755, 6258, 8078, 390, 1752, 2701, 3343, 5135, 6117, 6373, 7962, 390, 1562, 2641, 4018, 4276, 5284, 7045, 8082, 397, 1915, 2793, 3313, 4923, 6177, 6430, 7936, 737, 1287, 2452, 3792, 4773, 6077, 6426, 7646, 314, 2034, 3029, 3642, 5065, 6034, 6387, 8019, 487, 1393, 2327, 3366, 4774, 6031, 7054, 7869, 487, 1915, 2655, 3394, 4654, 6154, 6755, 7442, 356, 1238, 2610, 3728, 4664, 5210, 6889, 7442, 804, 1978, 2940, 4006, 5183, 5624, 6755, 7906, 419, 2001, 3043, 3827, 4580, 5883, 6240, 8261, 617, 1112, 2560, 3819, 5061, 5610, 6809, 7563, 195, 1570, 2970, 3352, 5080, 5737, 6849, 7773, 195, 1570, 2560, 4145, 4412, 6137, 6889, 7869, 518, 1695, 2659, 4106, 5157, 5436, 6815, 8130, 127, 1313, 2941, 4145, 4870, 5624, 7120, 7641, 654, 1695, 2729, 4006, 5088, 5438, 6996, 8102, 256, 1623, 3008, 3277, 5104, 5219, 6749, 8102, 645, 1827, 2924, 3292, 4935, 6035, 6724, 7528, 360, 1286, 2934, 3340, 4430, 5871, 6917, 7899, 249, 1472, 2635, 4138, 5088, 5471, 6660, 7987, 1017, 1402, 2929, 3483, 4735, 6133, 6538, 7892, 840, 1555, 2445, 4005, 5017, 6002, 7071, 7791, 1097, 1675, 3150, 3271, 4602, 6040, 6786, 7673, 1097, 1467, 2984, 3891, 5115, 6014, 7129, 8237, 935, 2111, 3109, 4011, 5104, 6051, 6809, 8107, 935, 2065, 2996, 3885, 4828, 6111, 6709, 7641, 935, 1622, 2746, 4018, 4828, 6129, 6996, 8266, 475, 1518, 2746, 4026, 5038, 6205, 6852, 7949, 256, 2030, 2941, 3645, 4398, 5550, 7090, 7723, 518, 1345, 2473, 3430, 4287, 6216, 6998, 7498, 489, 2060, 2970, 3420, 5060, 5296, 6412, 7718, 579, 1333, 3038, 3994, 4762, 6164, 6717, 7840, 223, 1370, 2167, 3185, 5003, 5911, 6974, 7524, 113, 1582, 2133, 3821, 4407, 5335, 7192, 8034, 936, 1260, 3003, 3928, 4253, 5588, 6640, 7712, 536, 1402, 2872, 3857, 4776, 6120, 6335, 7663, 840, 1393, 2511, 3642, 4734, 5970, 7214, 7962, 535, 1736, 2648, 4128, 4936, 5965, 6391, 7904, 535, 1758, 2432, 3547, 4321, 5914, 6343, 7475, 535, 1555, 2401, 3421, 4191, 5927, 6878, 7796, 535, 1826, 2401, 3707, 5154, 5344, 6224, 8201, 826, 1283, 2659, 3842, 4321, 6077, 6375, 7756, 826, 1388, 2751, 3762, 4859, 5547, 7114, 7862, 613, 1930, 2751, 3991, 4770, 5221, 6382, 7355, 309, 1932, 2560, 3824, 4335, 5455, 6267, 7492, 317, 1821, 2448, 3478, 4705, 5276, 7053, 8242, 195, 1721, 2867, 3662, 4538, 5795, 6950, 7667, 518, 1851, 3064, 3407, 4895, 5716, 7024, 8260, 518, 1684, 3135, 3955, 4344, 6097, 6772, 7887, 256, 1684, 2315, 3994, 4334, 6097, 7230, 8080, 833, 1564, 2469, 3516, 5120, 6137, 6480, 8270, 967, 1974, 3110, 3827, 4334, 6103, 6612, 8267, 356, 1147, 2254, 3770, 4501, 5550, 6709, 7474, 952, 1637, 3043, 4125, 5176, 5832, 6901, 7906, 685, 2034, 2520, 3380, 4413, 5255, 7071, 7369, 611, 2034, 2245, 3757, 4257, 5532, 6901, 8077, 737, 1588, 2128, 3394, 5115, 5716, 7001, 7964, 1017, 1356, 2316, 3329, 4590, 5898, 6540, 7649, 249, 1695, 3040, 3237, 4421, 6118, 6908, 7800, 845, 1695, 3066, 3426, 4962, 5896, 7229, 7904, 684, 1816, 3149, 3655, 4181, 5515, 6677, 7421, 952, 2063, 3064, 3206, 4533, 6137, 6612, 7500, 1024, 1126, 2348, 3877, 4895, 5387, 6614, 7748, 986, 1397, 2495, 4117, 4540, 5926, 6263, 7488, 964, 1397, 2660, 3924, 4539, 6105, 6888, 8205, 1019, 1808, 3127, 3205, 4776, 5810, 7141, 7438, 994, 1708, 3141, 3329, 4776, 5205, 6462, 8028, 582, 1189, 2751, 3623, 4776, 6050, 7025, 7772, 1040, 1550, 2751, 3384, 4776, 5633, 6884, 7577, 1040, 1550, 2162, 4073, 4804, 5332, 6962, 7983, 487, 1692, 2658, 4005, 4321, 5787, 6319, 8253, 993, 1550, 2688, 3329, 4274, 5927, 7117, 7358, 1025, 1554, 2142, 3329, 4346, 5844, 7129, 8061, 678, 1550, 3116, 3472, 4261, 6135, 6736, 7892, 510, 1771, 2946, 3827, 4215, 6086, 7100, 7641, 1099, 1876, 2991, 3914, 5165, 5635, 7149, 8080, 859, 1777, 3128, 4018, 5061, 5694, 7120, 7677, 510, 1620, 2803, 3710, 5080, 5832, 7120, 8066, 878, 1964, 3021, 3692, 4925, 6146, 7069, 7862, 878, 1752, 3147, 3827, 4918, 5650, 6840, 7336, 859, 1992, 2542, 3374, 4287, 6077, 7100, 7876, 859, 1564, 2880, 4103, 4870, 5935, 7149, 7485, 488, 1147, 3135, 3914, 5038, 5705, 7239, 7664, 860, 1528, 2914, 3825, 4630, 5705, 7077, 8223, 860, 1528, 2806, 3825, 4624, 6139, 7201, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7226, 8223, 915, 1684, 2164, 3825, 4622, 5534, 6794, 7732, 488, 1528, 2164, 3893, 4798, 6081, 6752, 8223, 915, 1147, 2970, 3914, 4985, 5527, 7152, 8266, 915, 1147, 2970, 3825, 4583, 5811, 7077, 8223, 555, 1147, 2970, 3825, 5159, 5635, 6996, 7664, 915, 1648, 2970, 3391, 4798, 5635, 6996, 8223, 915, 1648, 3021, 3914, 4512, 5892, 6584, 8236, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 142, 1622, 2806, 3825, 4704, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 4, 2 ]

[ 1, 28, 63, 39, 51, 44, 55, 5, 17, 62, 5, 31, 16, 5, 53, 73, 54, 78, 5, 63, 16, 41, 52, 33, 51, 65, 16, 54, 3, 804, 1777, 2783, 3885, 5104, 6103, 7239, 8147, 390, 1721, 2783, 4170, 4896, 5893, 6972, 8083, 1052, 1930, 2886, 4135, 5141, 5722, 6291, 7975, 448, 1982, 2856, 3227, 4866, 5813, 6910, 7696, 761, 2088, 2424, 3946, 4701, 6114, 6760, 8121, 1080, 1830, 2878, 3957, 4256, 5410, 6458, 7350, 726, 1736, 3068, 4004, 4678, 5696, 6386, 7533, 491, 1384, 2289, 3672, 4831, 5650, 6398, 7786, 491, 1222, 2787, 4021, 4598, 5838, 6637, 8246, 511, 1118, 2672, 3666, 4468, 5656, 7112, 8000, 862, 1231, 2693, 3513, 5179, 6032, 7135, 7889, 582, 2091, 2282, 3952, 4236, 5818, 6861, 7913, 756, 1782, 2867, 3951, 4273, 5742, 6466, 7613, 512, 1623, 3006, 3909, 4555, 5705, 7237, 7408, 427, 1871, 2944, 4114, 5183, 6085, 6810, 7726, 256, 1874, 2925, 4026, 4398, 5705, 7100, 7876, 568, 1199, 3008, 3492, 4877, 5514, 7069, 8107, 1020, 1264, 2970, 3951, 5165, 6061, 6619, 7367, 831, 2008, 2652, 4125, 5083, 5534, 7157, 7959, 856, 1776, 2574, 3771, 4755, 5492, 6674, 8031, 234, 1244, 2958, 3924, 4458, 5315, 7001, 8069, 986, 1530, 2132, 3736, 4645, 5491, 7224, 7365, 582, 1972, 2268, 3233, 4855, 5354, 6257, 7349, 767, 1757, 2387, 3191, 4931, 5982, 6769, 8060, 504, 1807, 2247, 4082, 5020, 5298, 6736, 7262, 1035, 1361, 2865, 3771, 5084, 5333, 6803, 8158, 1024, 1807, 2429, 3530, 4953, 5903, 7136, 7927, 1024, 1782, 3080, 3634, 4814, 5784, 6802, 8244, 1024, 1269, 2764, 4120, 4536, 5641, 6914, 8052, 668, 2044, 2953, 3615, 4986, 5824, 7012, 8034, 668, 1543, 3040, 3473, 5152, 6200, 6651, 8253, 339, 1267, 2954, 3960, 5005, 6012, 7003, 7944, 400, 1199, 2198, 4043, 4906, 5976, 6777, 7442, 984, 1199, 2754, 4009, 4308, 6202, 6876, 7639, 512, 1110, 2407, 3891, 4983, 6113, 6972, 7689, 935, 2068, 2932, 3680, 4630, 6026, 6393, 7948, 935, 1757, 2834, 3982, 4583, 5661, 6630, 8260, 984, 1454, 2746, 3240, 4630, 5630, 6852, 8260, 984, 2068, 2641, 3803, 5038, 5219, 6774, 7485, 935, 2000, 3109, 3680, 4980, 6131, 6996, 7723, 510, 1475, 3109, 3680, 5061, 6146, 6972, 7870, 579, 1705, 2970, 3680, 4321, 5315, 7135, 7277, 391, 1327, 2474, 3314, 4545, 6050, 6308, 7481, 547, 1183, 3080, 3179, 4748, 5233, 6571, 8018, 504, 1370, 2482, 3688, 4531, 5515, 6928, 7778, 216, 1834, 2436, 3564, 4179, 5320, 6614, 7865, 1033, 1708, 2750, 3564, 4728, 5683, 7212, 7770, 1071, 1167, 2389, 3245, 5145, 5906, 6563, 8207, 160, 1768, 2944, 4026, 4588, 5765, 6337, 8261, 545, 1915, 2678, 4093, 5079, 6194, 7038, 8036, 986, 1682, 2487, 3246, 4946, 5222, 6682, 7586, 716, 1826, 2649, 4138, 5178, 5918, 6528, 8079, 314, 1167, 2894, 3245, 4753, 5289, 6682, 7701, 266, 1529, 2822, 3398, 4367, 5836, 7159, 7836, 386, 2033, 2137, 3318, 4978, 6065, 6966, 7598, 504, 1472, 2749, 3600, 4335, 5855, 7241, 7819, 784, 1826, 3050, 3796, 4458, 5576, 6884, 7680, 150, 1826, 2313, 3227, 5006, 5407, 6622, 7462, 1025, 1847, 2678, 3796, 4634, 6120, 6224, 7313, 386, 1831, 2732, 4101, 5097, 5364, 6408, 8252, 504, 1624, 2137, 3302, 4536, 6032, 6633, 8048, 643, 1675, 2554, 3960, 4351, 5906, 7111, 7626, 504, 1333, 2678, 3595, 4333, 5927, 6968, 8257, 1029, 1682, 2242, 3771, 4315, 6001, 6612, 7902, 887, 1865, 3075, 3983, 5083, 5996, 6951, 7852, 150, 1141, 3003, 3981, 5083, 5778, 6708, 7535, 317, 1275, 2678, 3159, 4440, 5579, 6400, 7532, 225, 1496, 2677, 3753, 5145, 5248, 6760, 7919, 225, 1496, 2664, 3385, 4737, 5844, 6443, 7753, 757, 2065, 2750, 3777, 5127, 5296, 7153, 7313, 617, 1961, 3139, 3723, 4971, 5765, 6566, 8185, 579, 1797, 3139, 3430, 4784, 5581, 6677, 8189, 319, 1721, 2503, 4153, 4189, 5981, 6338, 8117, 536, 1141, 2384, 4153, 4953, 5408, 7205, 7919, 314, 1564, 2595, 3273, 4626, 6002, 7049, 7293, 535, 1510, 2321, 3434, 4297, 5794, 6812, 8154, 884, 1561, 3032, 4083, 4205, 5202, 6625, 7821, 1025, 1283, 2415, 3358, 5045, 5706, 6736, 7672, 610, 1561, 2554, 3421, 5124, 6194, 6574, 7778, 518, 1562, 3026, 3882, 4344, 5482, 6967, 8008, 518, 1452, 3130, 3193, 4785, 5926, 6443, 7559, 256, 2030, 2803, 3932, 4555, 5694, 6612, 7641, 440, 1976, 2970, 3516, 4398, 5580, 6515, 8107, 256, 1851, 3000, 4011, 5138, 6149, 7049, 7965, 256, 1851, 3000, 3771, 4338, 6007, 6844, 8209, 901, 1141, 3109, 3857, 4512, 5436, 6966, 7727, 568, 2053, 3008, 4005, 4923, 5215, 6803, 8270, 356, 1141, 2560, 3798, 4609, 5730, 6901, 8266, 288, 1623, 2970, 4166, 4470, 6128, 6619, 8188, 716, 1199, 2247, 3787, 5022, 6014, 6976, 7698, 465, 1563, 2497, 3230, 4541, 5279, 6720, 7952, 742, 2086, 2933, 3383, 4377, 5533, 6915, 8162, 604, 1553, 2306, 4007, 5052, 5558, 7178, 7771, 683, 1286, 2633, 4015, 4268, 6028, 6651, 8172, 691, 1186, 2136, 3615, 4881, 5639, 6671, 7882, 859, 1806, 2421, 3487, 4206, 5300, 6486, 8169, 818, 1664, 2946, 3811, 4861, 5767, 7157, 7732, 510, 1998, 2932, 4145, 4888, 5630, 6752, 8185, 984, 1998, 2803, 3645, 4573, 6085, 6938, 8093, 984, 1635, 3006, 3516, 5106, 5219, 6897, 8267, 120, 2013, 3067, 3943, 4267, 5706, 7024, 7376, 256, 1684, 2370, 3272, 4344, 5223, 7120, 7641, 757, 2127, 2904, 3361, 5081, 5446, 6717, 7542, 568, 2106, 2904, 4096, 4201, 5350, 6698, 7519, 568, 2013, 2468, 3955, 4423, 5935, 7232, 8047, 568, 1971, 2468, 3928, 4877, 5550, 6762, 8164, 757, 2127, 2468, 4096, 5097, 5660, 6338, 7477, 568, 2013, 2669, 3798, 4387, 5438, 7168, 8261, 757, 1570, 2904, 3425, 4555, 5942, 6589, 7732, 617, 2127, 2468, 4068, 5138, 5901, 7120, 7563, 757, 1750, 3021, 4166, 4411, 5767, 6515, 7664, 617, 1758, 2839, 3904, 5007, 5534, 6486, 8126, 555, 1851, 2424, 3955, 4877, 5385, 7098, 7715, 1033, 1510, 2334, 3924, 4312, 5266, 6475, 7867, 386, 1370, 2709, 3375, 4586, 5367, 6683, 7404, 814, 1815, 3058, 3295, 4636, 5250, 6249, 8216, 814, 1815, 2214, 3526, 4636, 5632, 6805, 7756, 344, 1141, 3106, 3790, 4493, 5943, 6224, 8053, 160, 1825, 2387, 3455, 4658, 6005, 7100, 7744, 806, 1858, 2265, 3991, 4392, 5408, 6645, 7542, 104, 1141, 2944, 3778, 4693, 5300, 6950, 7634, 487, 1972, 2887, 3786, 4720, 5700, 7198, 8025, 802, 1141, 2515, 3375, 4690, 6147, 6730, 7515, 850, 1463, 2767, 3469, 4273, 5706, 6915, 8206, 778, 1118, 2429, 4007, 4514, 6120, 6884, 7284, 104, 1141, 2688, 3447, 4881, 6141, 7184, 7794, 1035, 1660, 3026, 3529, 4419, 5980, 6769, 7790, 831, 1363, 2462, 3472, 4387, 5869, 6430, 7807, 804, 1992, 2970, 3271, 5080, 6014, 6540, 8126, 105, 1175, 2959, 4131, 4630, 5968, 7119, 7476, 818, 1620, 3006, 3990, 5080, 6051, 7168, 8195, 818, 1791, 3095, 3516, 4624, 6195, 6709, 7782, 956, 2046, 2838, 3825, 5165, 6211, 7006, 7876, 1097, 2017, 3095, 3990, 5038, 5705, 6752, 8147, 859, 1791, 2858, 4068, 4870, 6182, 6604, 8126, 356, 2127, 2833, 3217, 4762, 5433, 6830, 7485, 617, 1345, 2775, 3564, 5166, 5586, 7168, 7831, 105, 2002, 2970, 4068, 4681, 5548, 6717, 8076, 105, 2106, 2858, 3955, 4555, 5901, 6551, 7732, 859, 2002, 2970, 4089, 5157, 5767, 6515, 7913, 4, 2 ]

[ 1, 42, 63, 39, 64, 41, 16, 52, 5, 28, 63, 33, 64, 66, 5, 31, 14, 66, 5, 43, 14, 30, 5, 28, 45, 54, 5, 30, 44, 64, 41, 45, 42, 77, 35, 30, 5, 28, 26, 5, 31, 14, 66, 5, 66, 33, 63, 16, 28, 16, 52, 5, 76, 23, 54, 30, 5, 5, 3, 1071, 1770, 2130, 3385, 4231, 5210, 6649, 7878, 752, 1742, 2263, 3870, 4437, 5297, 7032, 7821, 113, 1453, 2378, 3423, 4258, 5993, 6832, 8017, 761, 1510, 2927, 3810, 4736, 5447, 6984, 7944, 807, 1118, 2987, 3922, 4205, 5810, 6458, 8026, 839, 1708, 2717, 3329, 4644, 5656, 6242, 7402, 487, 1881, 2751, 3417, 4953, 5725, 7118, 7985, 103, 1932, 3149, 4079, 4259, 5845, 6803, 7538, 756, 1809, 2268, 3983, 4622, 5363, 7229, 7677, 518, 1118, 2349, 3802, 4437, 5660, 6302, 8227, 225, 1112, 3046, 3955, 5115, 5888, 7065, 8188, 225, 1570, 2473, 3362, 4927, 5586, 6413, 8150, 518, 1684, 2542, 3595, 5184, 5215, 6810, 7677, 654, 2030, 3091, 3844, 4836, 5766, 6277, 7927, 568, 1424, 2905, 3359, 4870, 5436, 7207, 7799, 617, 2060, 2905, 3994, 4181, 5764, 7090, 7737, 419, 1791, 2340, 3838, 4512, 5514, 7232, 7557, 475, 1147, 2941, 3891, 4398, 5514, 7232, 8227, 789, 2106, 2970, 3803, 4398, 5514, 6988, 7664, 256, 1108, 2341, 4174, 4916, 5296, 7090, 8147, 256, 1108, 2880, 3555, 5138, 5514, 6752, 7570, 617, 1467, 2970, 4071, 5096, 5963, 6589, 7715, 948, 2035, 3147, 4114, 4219, 5904, 7162, 7438, 685, 2050, 2330, 3490, 5023, 6009, 6959, 8230, 266, 1469, 2890, 3193, 4532, 6154, 6224, 7997, 386, 1503, 2687, 3485, 4857, 5927, 6896, 7873, 1029, 1469, 3126, 3432, 4755, 5444, 6668, 7807, 386, 1440, 3121, 3623, 4847, 6192, 6857, 7778, 150, 1440, 2901, 3623, 4564, 5484, 6426, 7614, 1025, 1499, 3040, 3912, 4730, 6195, 6810, 7707, 940, 2009, 2783, 3718, 4570, 5938, 7166, 7757, 390, 1881, 2880, 3226, 5165, 6051, 7084, 7870, 512, 2046, 3135, 3671, 5104, 5883, 6996, 8076, 308, 2001, 3008, 4068, 5038, 6063, 6515, 8066, 684, 1620, 3064, 3866, 4551, 5612, 7084, 8237, 804, 2046, 2936, 4115, 4822, 6129, 7168, 7723, 308, 2046, 2957, 3886, 4822, 6063, 6979, 8066, 804, 1963, 2957, 4108, 4630, 5612, 7239, 8076, 308, 1675, 3110, 4166, 5166, 5705, 6972, 8267, 211, 1700, 3128, 4068, 5104, 5883, 7077, 8237, 304, 2063, 2957, 3987, 4980, 5378, 7239, 8076, 660, 1257, 2701, 3478, 5096, 6004, 7054, 8123, 840, 1770, 2910, 3776, 4517, 5313, 6415, 8186, 536, 1145, 2847, 3560, 5095, 5815, 6328, 7994, 344, 1603, 2559, 3963, 4338, 5773, 6830, 8129, 664, 1758, 3129, 3578, 4709, 5341, 6632, 8032, 1041, 2059, 2436, 3687, 4339, 5489, 7083, 7972, 662, 1397, 2979, 3669, 4575, 5570, 7188, 7397, 692, 1434, 2766, 3229, 5011, 5906, 6426, 8070, 265, 1695, 2895, 3741, 4281, 5400, 7247, 8254, 952, 1636, 2361, 4069, 4652, 5855, 6889, 7438, 715, 1349, 2133, 3563, 4329, 5918, 6309, 7533, 899, 1918, 2638, 3413, 4470, 6026, 6377, 7899, 715, 1460, 2897, 3922, 4329, 5557, 6850, 7966, 225, 2030, 3059, 3342, 4305, 5296, 6613, 8164, 225, 1525, 2935, 4113, 5089, 5892, 6882, 7732, 195, 1826, 2548, 3407, 5075, 5677, 7075, 8016, 518, 1593, 2469, 3332, 4536, 6157, 6607, 8187, 518, 1570, 2659, 3933, 5138, 5650, 6877, 7677, 240, 2111, 3021, 3394, 5159, 5241, 7160, 7949, 240, 1750, 2729, 3855, 4622, 6149, 7160, 8083, 419, 1851, 2287, 3407, 5083, 5296, 6671, 8237, 915, 1622, 2806, 4174, 4859, 5677, 6752, 8147, 789, 1648, 2560, 3376, 4541, 5901, 7207, 8262, 195, 1695, 2287, 4174, 4862, 5825, 7198, 7612, 568, 1826, 2239, 3798, 4780, 5216, 7047, 8185, 859, 1332, 2970, 3891, 4622, 5963, 6338, 7706, 797, 1622, 2833, 3825, 4704, 6186, 6589, 8147, 860, 1622, 3065, 3825, 4704, 5677, 7077, 7677, 488, 2017, 2914, 3893, 4704, 6139, 7124, 8196, 488, 1528, 2914, 3893, 4624, 6186, 7124, 8196, 555, 2017, 2833, 3893, 4512, 5635, 7120, 7563, 859, 1648, 3021, 3374, 5061, 5678, 6584, 7485, 617, 1496, 2918, 3566, 4622, 6149, 6589, 7716, 617, 2013, 2941, 4071, 4344, 5901, 7152, 7732, 555, 2002, 2959, 3352, 4890, 5901, 6677, 7664, 488, 2111, 2914, 3893, 4764, 6186, 7120, 7732, 488, 1648, 3065, 3825, 4624, 5219, 6589, 8237, 488, 1622, 3065, 3595, 4624, 6139, 7124, 7766, 860, 1528, 2806, 3825, 4704, 6139, 7124, 7715, 201, 1528, 2164, 3825, 4624, 6139, 7077, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6081, 7239, 7766, 579, 1992, 2959, 3975, 4881, 5978, 6659, 7717, 731, 2060, 2959, 3671, 5115, 5830, 7004, 8061, 189, 1375, 2724, 4017, 4629, 5250, 7028, 7873, 739, 1108, 3032, 3261, 4408, 5891, 6493, 8211, 886, 1349, 2574, 3403, 4364, 5580, 7108, 7845, 231, 2094, 2349, 3224, 4752, 6110, 6656, 7698, 756, 1747, 2970, 3646, 4553, 5871, 6410, 7592, 317, 1430, 3003, 3227, 5153, 5968, 6609, 7962, 844, 1695, 2542, 3623, 4255, 6112, 7230, 7367, 952, 1989, 2687, 3394, 4573, 5911, 6651, 7570, 1052, 1564, 2824, 3366, 4456, 5557, 6998, 7904, 306, 1140, 2135, 3434, 4597, 5444, 6973, 7621, 113, 1965, 2327, 3356, 4282, 5348, 6627, 8022, 668, 1817, 2332, 3394, 4435, 5575, 7175, 7413, 692, 1695, 3106, 3366, 4539, 6119, 7063, 7659, 510, 1931, 3049, 3931, 5085, 6184, 6403, 7539, 288, 1467, 2959, 4026, 5183, 5942, 6961, 7421, 804, 1218, 2754, 3827, 5159, 5749, 7132, 8076, 308, 1992, 3064, 3226, 4890, 5883, 6810, 8185, 684, 1218, 2396, 3827, 4292, 6164, 7084, 8195, 914, 1675, 3128, 4115, 5129, 6137, 6809, 8260, 211, 1881, 3110, 4152, 5104, 6131, 6996, 7723, 880, 1804, 2720, 3472, 4385, 5884, 6365, 7913, 465, 2033, 2139, 3394, 4259, 5531, 6270, 7577, 896, 2048, 2897, 3635, 4934, 6086, 6663, 7996, 535, 1397, 2225, 3456, 4873, 5695, 6393, 8139, 304, 1978, 2282, 3832, 5150, 6066, 6839, 7664, 160, 1914, 2142, 3894, 5073, 5899, 6708, 7313, 826, 1676, 2741, 3205, 4450, 5889, 6710, 7878, 778, 1755, 2741, 3717, 4358, 5794, 7004, 7955, 424, 1747, 3098, 4128, 4319, 5485, 6719, 7831, 1090, 1773, 2989, 3233, 5139, 6051, 7084, 7260, 684, 1600, 2925, 3932, 4822, 6129, 6996, 7557, 804, 1218, 2783, 4006, 4870, 6103, 7111, 7421, 882, 1345, 2332, 3486, 4519, 5588, 6455, 8129, 769, 1938, 3101, 3241, 4352, 6112, 6426, 8191, 535, 1206, 2870, 3205, 4409, 5384, 7070, 7885, 737, 1915, 2761, 3714, 4660, 5280, 6760, 8161, 845, 1494, 3040, 3248, 4429, 6118, 6443, 7435, 317, 1436, 2626, 3282, 5101, 5892, 7182, 7815, 225, 1597, 3040, 3838, 4681, 5276, 6412, 7947, 654, 2002, 2492, 3376, 4423, 5580, 6251, 8243, 518, 2078, 2803, 3687, 4836, 5436, 7230, 8061, 225, 1108, 2904, 3873, 4630, 5797, 7043, 7732, 518, 1851, 2554, 3550, 4560, 5320, 6901, 7831, 518, 1851, 2554, 3891, 4183, 5938, 6615, 7720, 568, 1496, 2444, 3681, 5077, 6204, 6688, 7477, 256, 1664, 3147, 3803, 4423, 6110, 6889, 8034, 789, 2002, 2729, 3681, 4549, 5413, 6677, 7732, 256, 1750, 2775, 3914, 4398, 5580, 7120, 7260, 256, 1750, 2833, 3914, 4398, 5650, 6752, 8237, 789, 1525, 2944, 4174, 4681, 5493, 7090, 7806, 878, 1623, 3095, 4113, 4398, 5580, 7218, 7806, 901, 2030, 2965, 4026, 4376, 5892, 6791, 7527, 489, 2111, 2833, 3364, 5096, 5650, 6612, 7602, 752, 2008, 3032, 3666, 4903, 5697, 6740, 7773, 893, 2051, 2151, 3884, 4251, 5603, 6612, 8189, 1101, 1732, 2432, 3741, 5036, 5874, 6399, 8199, 884, 1550, 2492, 3329, 4839, 5694, 6704, 7797, 103, 1708, 2339, 3392, 4539, 6086, 6625, 8248, 390, 1876, 2610, 3407, 5085, 5963, 6293, 8179, 804, 1881, 3022, 3732, 5193, 5832, 7100, 8193, 308, 1620, 3008, 4145, 4966, 5832, 6830, 7927, 684, 2046, 2803, 3916, 4556, 6063, 6966, 7557, 231, 1280, 3080, 3828, 4437, 6175, 7143, 7716, 756, 1928, 2798, 3819, 4945, 5413, 7014, 8009, 356, 2107, 2795, 3472, 5069, 5981, 7246, 7799, 115, 1553, 2208, 3307, 5122, 6149, 6385, 7321, 465, 1227, 2874, 3822, 5065, 5797, 6442, 8098, 443, 1570, 2401, 3873, 4360, 5787, 6224, 7826, 993, 1806, 3037, 3417, 4288, 5719, 6391, 8248, 784, 1561, 2728, 3261, 4952, 5643, 6410, 8248, 150, 1768, 2238, 3376, 4364, 5762, 6526, 7311, 1029, 2001, 2775, 3395, 5148, 5224, 7197, 7829, 643, 1635, 2775, 4145, 4368, 5767, 6965, 7936, 510, 1620, 2128, 3776, 5038, 6103, 6786, 8093, 1097, 1523, 3064, 4018, 5165, 5630, 7084, 7557, 1099, 1791, 2924, 4174, 4980, 5883, 7132, 7421, 779, 2079, 3060, 3990, 4470, 5219, 6515, 7723, 804, 2046, 3135, 4108, 5038, 6195, 7168, 7723, 308, 1791, 3110, 3909, 5038, 5378, 7239, 8147, 756, 1403, 2560, 4026, 4852, 5832, 6979, 7753, 650, 1833, 2936, 4005, 4872, 5963, 6402, 7439, 492, 1665, 2667, 3816, 4369, 5930, 7047, 8198, 492, 1786, 2667, 3736, 4873, 5569, 6263, 7520, 247, 1168, 2964, 3394, 4883, 5636, 7038, 7983, 494, 1609, 2355, 3652, 4799, 5810, 6446, 7996, 774, 1724, 2869, 3672, 4661, 5487, 6240, 8138, 465, 1946, 2221, 3981, 5011, 5729, 7013, 7611, 465, 2118, 2221, 3573, 4462, 6086, 6264, 7350, 465, 2114, 2464, 3802, 4443, 6207, 6626, 7465, 304, 1492, 2429, 3492, 4651, 5995, 7135, 7899, 288, 1738, 2627, 3452, 4834, 6162, 6803, 8101, 356, 1919, 3026, 3206, 4448, 5548, 6901, 7873, 650, 2065, 2716, 3559, 5075, 5870, 7048, 7577, 944, 2118, 2494, 3456, 4664, 5500, 6874, 7993, 875, 2118, 2453, 3456, 4703, 5839, 6493, 7875, 835, 1349, 3112, 3815, 4330, 5371, 6255, 8190, 774, 1494, 2464, 3690, 4937, 5876, 6878, 8226, 1041, 1732, 2534, 3240, 4740, 5742, 6224, 8136, 613, 1378, 2231, 3393, 4321, 5364, 6357, 7655, 401, 1974, 2780, 3187, 4267, 6022, 6464, 7386, 935, 1664, 2469, 4068, 5153, 5865, 6400, 7736, 935, 1104, 3095, 3206, 5088, 5250, 6752, 8147, 186, 1791, 3006, 3645, 5104, 6103, 7023, 7720, 935, 1791, 2899, 4114, 4630, 6211, 7023, 7720, 935, 1998, 2834, 3516, 4798, 6129, 7201, 8076, 935, 2017, 2838, 3825, 5153, 5635, 6794, 7949, 935, 1648, 3110, 3825, 4822, 6211, 6794, 7764, 935, 2017, 2164, 3893, 4798, 6025, 6794, 8185, 276, 1996, 2181, 3746, 4495, 5386, 6581, 7557, 699, 1695, 2137, 4125, 4993, 5755, 6911, 7826, 183, 1684, 2970, 4145, 4878, 5944, 6980, 7717, 552, 1623, 2608, 3448, 4828, 6086, 6430, 7605, 650, 1286, 2936, 4103, 4872, 5504, 7232, 7904, 113, 1265, 2279, 3708, 4320, 5802, 6719, 7367, 492, 1816, 2479, 3332, 4279, 5714, 6790, 8200, 492, 1189, 2492, 3900, 4426, 5675, 7223, 7702, 492, 1158, 2378, 4067, 4620, 5675, 6398, 8124, 492, 1758, 3055, 3778, 4818, 6217, 6567, 7821, 113, 1477, 2378, 3537, 4401, 6142, 6674, 7913, 976, 1337, 2740, 3423, 5050, 6005, 6703, 8070, 895, 1141, 2891, 3548, 4910, 5977, 6874, 8005, 1067, 1350, 2511, 3165, 4995, 5889, 6532, 8056, 778, 1736, 2891, 3717, 4804, 5694, 6373, 7508, 1003, 1850, 2511, 4126, 4536, 5624, 6832, 8039, 113, 1770, 2462, 3517, 4670, 5441, 6933, 7986, 1038, 1156, 2740, 3748, 4641, 6213, 7184, 8140, 271, 1582, 2222, 3634, 4774, 6015, 7194, 7768, 1024, 1499, 2336, 3427, 4547, 5623, 6722, 8046, 424, 1919, 3108, 3188, 4589, 5553, 6536, 7264, 308, 2090, 2998, 3188, 4287, 6205, 6709, 7720, 1056, 1620, 2943, 3983, 5058, 6087, 6918, 7421, 390, 2063, 3007, 4011, 4287, 6063, 6515, 7723, 308, 1874, 3008, 4067, 4287, 5630, 6996, 7591, 952, 1198, 2754, 3452, 4359, 5276, 7157, 7807, 650, 1469, 2476, 4095, 4614, 5220, 6930, 7606, 1066, 2048, 3090, 3954, 4337, 5577, 6367, 7886, 993, 2050, 3126, 3356, 4874, 5983, 7048, 8109, 784, 1469, 3066, 3678, 4351, 5806, 6807, 7910, 299, 1440, 2844, 3599, 4467, 6145, 6622, 7828, 150, 1630, 2894, 3847, 4981, 6002, 7197, 8061, 1025, 2055, 2894, 3676, 4368, 6167, 6765, 8045, 1025, 2009, 2554, 3404, 4687, 5631, 6437, 8143, 1025, 1499, 2961, 3393, 4279, 5978, 6515, 7405, 610, 1489, 3040, 3502, 4270, 5220, 6769, 7361, 424, 1747, 3140, 4087, 4966, 5515, 6941, 7607, 1090, 1146, 2363, 3917, 5199, 5294, 6852, 7872, 610, 1809, 2502, 3206, 4558, 6092, 6776, 7288, 424, 1978, 3109, 3801, 4631, 5515, 7069, 7732, 160, 2079, 2578, 3909, 5079, 6195, 6515, 7607, 778, 1755, 2679, 3971, 4215, 5515, 6684, 8266, 104, 1318, 2554, 3832, 4359, 6026, 7156, 8112, 104, 1146, 2363, 3704, 4273, 5796, 7004, 8039, 850, 1529, 2520, 3763, 4635, 5950, 6775, 7570, 993, 1529, 2583, 3908, 4449, 5321, 7197, 7674, 993, 1550, 2482, 4078, 4978, 5503, 7042, 7784, 993, 1529, 2750, 3527, 4467, 5313, 6663, 8213, 1011, 2053, 2923, 3295, 4327, 5874, 6263, 8252, 1024, 1873, 2923, 3654, 5011, 5631, 6286, 8208, 1024, 1919, 2985, 3796, 4241, 5653, 6734, 8266, 678, 1269, 2470, 3240, 4435, 5473, 6726, 7761, 678, 1489, 2944, 3445, 4639, 5702, 6830, 7260, 970, 1255, 2944, 3240, 4589, 5430, 7107, 7262, 504, 1897, 2944, 3710, 4781, 5598, 6286, 7492, 678, 1919, 2944, 3856, 4912, 5586, 6670, 8248, 643, 1540, 2944, 3929, 4845, 6146, 6830, 8054, 750, 1562, 2944, 3756, 5106, 5216, 6650, 7787, 211, 1269, 2167, 3950, 4379, 5981, 6841, 8135, 678, 1269, 2783, 4027, 4849, 5981, 7010, 7494, 831, 1369, 2710, 4096, 4419, 5620, 6382, 7546, 424, 1269, 2710, 3358, 4343, 5918, 6478, 7951, 391, 1269, 2629, 3691, 4542, 6217, 6310, 7260, 1090, 1918, 2750, 3488, 4319, 5740, 6850, 7476, 970, 1858, 2783, 3233, 4867, 5810, 6265, 8081, 750, 1455, 2648, 4145, 5183, 6007, 6617, 7962, 678, 1269, 2924, 4055, 5159, 5918, 6980, 8227, 571, 1777, 2944, 3543, 4470, 5641, 6734, 8179, 308, 1847, 2598, 4145, 5166, 5219, 6786, 8080, 884, 1774, 2636, 4095, 5000, 5303, 6740, 7995, 995, 1108, 2724, 3593, 4321, 5664, 7066, 7378, 165, 1557, 2741, 3472, 4379, 5926, 6663, 7616, 876, 2114, 2365, 3568, 4855, 5800, 6692, 8086, 575, 1510, 2579, 3656, 4205, 5620, 7127, 7618, 715, 1653, 2486, 3229, 4580, 6004, 7033, 7339, 1097, 1467, 2941, 3982, 5160, 5385, 6740, 7791, 484, 1623, 2959, 4108, 4555, 6025, 7129, 7838, 488, 2017, 2781, 3803, 5080, 5385, 6752, 7949, 818, 1874, 2989, 3803, 5061, 6103, 7023, 8260, 818, 2017, 3117, 3710, 4888, 5612, 7226, 7720, 488, 1528, 3117, 3367, 4888, 5635, 7077, 8147, 818, 2017, 2781, 3893, 4624, 5901, 6794, 8223, 488, 1528, 2914, 3825, 4888, 6081, 7077, 7766, 4, 2 ]

[ 1, 16, 54, 30, 5, 43, 23, 5, 31, 14, 66, 5, 43, 48, 5, 43, 14, 30, 5, 17, 54, 30, 35, 66, 40, 51, 16, 54, 5, 66, 73, 5, 42, 33, 66, 5, 45, 66, 5, 41, 20, 63, 5, 43, 45, 53, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 6211, 6709, 8196, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 1648, 3065, 3893, 4624, 6186, 7077, 8147, 789, 2111, 2839, 4006, 4555, 5534, 6604, 7715, 256, 1349, 3064, 3358, 5138, 5832, 7157, 8236, 459, 1695, 3080, 3838, 5138, 5263, 6970, 7791, 459, 1687, 2669, 3818, 4631, 6010, 6783, 7960, 326, 1349, 2133, 3413, 4508, 5629, 6570, 7657, 938, 1562, 2951, 3445, 5096, 5567, 6352, 7344, 750, 1120, 3147, 3961, 5169, 5811, 6343, 7831, 752, 1415, 2775, 3271, 4780, 5797, 6954, 8069, 160, 1120, 2463, 3957, 4556, 5524, 6847, 7740, 401, 1989, 2960, 3732, 5153, 5713, 6225, 8092, 1037, 1402, 3098, 3630, 4991, 5840, 7012, 8061, 709, 1365, 2801, 3516, 4762, 6163, 6320, 7782, 541, 2127, 2725, 3424, 4948, 5497, 6623, 7843, 1059, 1332, 3040, 3413, 4586, 5250, 6880, 8117, 165, 1755, 2574, 3883, 4216, 6180, 6798, 8187, 1049, 1346, 2958, 3325, 4661, 5578, 6551, 8108, 347, 1933, 2823, 3648, 5146, 6169, 6580, 8251, 1049, 1146, 2944, 3154, 4927, 5858, 6251, 7279, 802, 1995, 2643, 3781, 4638, 5658, 6826, 8212, 814, 2011, 2652, 3729, 4327, 5585, 6758, 7943, 793, 1983, 3040, 4007, 4339, 5506, 7004, 7696, 319, 1293, 3040, 3561, 4254, 5860, 7229, 7721, 880, 1183, 3029, 3557, 5123, 6158, 6334, 7287, 803, 1129, 3094, 3431, 4730, 5819, 6886, 7487, 581, 2050, 2564, 3822, 4857, 5771, 6735, 7273, 278, 1183, 2642, 3421, 4356, 5268, 6735, 7581, 665, 1183, 2845, 3779, 5184, 5655, 6954, 7605, 665, 1183, 2705, 3384, 4607, 5876, 6965, 7605, 569, 1183, 2888, 3587, 5050, 6075, 6991, 8091, 806, 1183, 2831, 3679, 4575, 5836, 6782, 7676, 887, 1183, 2994, 3776, 4928, 5732, 7229, 7737, 610, 1773, 2330, 3826, 4369, 5938, 6235, 8245, 211, 1700, 3095, 3376, 5022, 6103, 7149, 8209, 715, 1427, 2695, 3376, 4374, 6103, 6918, 7825, 217, 2067, 3040, 3870, 4949, 5929, 7181, 7528, 761, 2024, 2455, 3356, 4981, 5464, 6909, 7944, 814, 1490, 3040, 3539, 4321, 6015, 6680, 8133, 569, 2099, 2953, 4037, 5036, 6002, 7197, 8245, 404, 2118, 2877, 3237, 5031, 5581, 7229, 7930, 646, 1539, 2491, 3429, 4504, 5603, 7018, 7722, 986, 1649, 3013, 4037, 4900, 5914, 6231, 7858, 804, 1847, 2567, 3540, 4727, 5503, 6364, 7537, 756, 1777, 2659, 3789, 5056, 5942, 6565, 7602, 317, 1945, 2349, 4097, 5167, 5952, 6810, 7680, 825, 1564, 2695, 3272, 4611, 6075, 7218, 7825, 792, 1289, 2455, 4073, 4795, 5512, 7133, 7920, 806, 1985, 2890, 3192, 4855, 5658, 7057, 7532, 487, 2113, 2156, 4072, 4635, 5722, 6442, 8050, 986, 1553, 2436, 3623, 4945, 5339, 7002, 8016, 545, 1808, 2156, 3268, 4321, 5970, 7086, 8140, 839, 1550, 2678, 3416, 4813, 6002, 6731, 8117, 881, 1692, 2311, 3818, 4716, 6002, 6957, 7996, 806, 2053, 2903, 3513, 4338, 5762, 7237, 8151, 807, 1458, 2377, 3873, 5019, 5643, 6308, 7799, 807, 2117, 3033, 3822, 4404, 6010, 6761, 7772, 646, 1600, 3029, 3351, 4530, 6168, 7160, 7549, 1043, 1286, 2348, 3562, 4555, 5523, 6847, 7873, 1080, 1993, 2154, 3751, 5092, 5212, 6818, 8098, 880, 1496, 2988, 4037, 4228, 5585, 6899, 7770, 373, 1510, 2716, 3508, 4881, 5610, 6655, 7420, 1005, 1510, 2515, 3424, 4666, 6175, 6671, 7256, 761, 1510, 2710, 3869, 4818, 5657, 6657, 8071, 117, 1510, 3105, 3229, 4421, 5364, 6643, 8140, 600, 1653, 2751, 3953, 5000, 5585, 6879, 7881, 892, 1633, 2845, 3434, 4489, 6145, 6874, 7682, 399, 1270, 3137, 3421, 4774, 6088, 7043, 7730, 526, 1301, 3040, 3421, 4852, 5898, 6805, 8140, 786, 2050, 2185, 3329, 4766, 6133, 6494, 7559, 612, 1199, 2933, 3549, 4418, 5322, 6944, 7400, 266, 1241, 2842, 3304, 4364, 6018, 6311, 8068, 784, 1820, 2931, 3355, 4459, 5293, 6494, 7384, 335, 1504, 2391, 4137, 4562, 5236, 6540, 8129, 678, 1385, 2564, 4093, 4191, 5787, 7017, 8173, 1033, 1812, 2564, 4087, 4652, 5716, 6265, 7303, 160, 1280, 2564, 3660, 5125, 6205, 6786, 8240, 304, 1562, 3008, 3932, 4553, 5534, 6852, 8083, 684, 1804, 2866, 3516, 5095, 5968, 7168, 7720, 139, 1794, 3124, 4126, 5134, 5824, 6654, 8069, 1023, 1388, 2986, 3342, 4275, 6118, 6315, 7861, 896, 1363, 2497, 3616, 5114, 5224, 6836, 7756, 781, 1806, 2766, 3878, 4233, 6200, 6224, 7917, 761, 1440, 2826, 3882, 4682, 5548, 7017, 7534, 308, 1700, 2238, 3864, 5193, 6123, 7100, 7807, 684, 1363, 2925, 3982, 5157, 5767, 6820, 8076, 935, 1566, 3128, 3803, 5007, 5385, 7168, 7641, 914, 1998, 2991, 3645, 4622, 6211, 7132, 8076, 510, 2068, 3007, 3516, 4912, 6186, 7084, 7664, 105, 1847, 2991, 3226, 4224, 5661, 6348, 7664, 276, 1752, 2454, 3206, 4374, 5590, 6750, 7442, 654, 1345, 2971, 3917, 4863, 6107, 7132, 7492, 617, 1185, 2792, 3240, 4888, 6117, 6588, 7641, 211, 1147, 2936, 3578, 5060, 5650, 6969, 7303, 761, 1266, 2579, 3887, 5040, 5828, 7137, 8050, 459, 1294, 2921, 3995, 4364, 5263, 6790, 7706, 737, 1564, 2547, 3536, 4460, 5603, 6663, 7983, 1004, 1289, 2683, 3270, 4358, 5589, 6917, 7709, 363, 1550, 3139, 3329, 4417, 5837, 6483, 8151, 487, 1948, 2654, 3376, 4539, 5955, 6917, 7939, 643, 1388, 3029, 4120, 5022, 5870, 6270, 7669, 940, 1550, 2829, 3697, 4364, 5925, 6302, 7899, 419, 1467, 3021, 3575, 5058, 5413, 6979, 8078, 914, 2001, 3021, 3665, 4343, 6175, 7207, 7715, 475, 2068, 3021, 4113, 4622, 6195, 6604, 7631, 899, 1562, 2542, 3771, 4782, 5493, 6607, 7865, 489, 1752, 2655, 3822, 5150, 5413, 6809, 8151, 105, 1876, 3007, 3595, 5160, 6182, 7218, 7508, 216, 1981, 2594, 3671, 4720, 5694, 7120, 8267, 893, 1164, 2579, 3478, 5069, 5862, 6358, 7887, 504, 1938, 2246, 3848, 5091, 5926, 7229, 7834, 223, 1777, 2924, 3355, 4533, 5279, 6566, 7386, 150, 1773, 2924, 4096, 5129, 5684, 7168, 7664, 1035, 1924, 3098, 3955, 5050, 5981, 6705, 8079, 1035, 1915, 2943, 4096, 4861, 5811, 6985, 7676, 308, 1991, 2924, 4151, 4212, 6181, 7120, 8195, 1099, 1791, 2947, 3932, 4551, 5661, 7010, 7570, 1097, 1791, 2957, 3866, 4704, 6051, 7058, 7641, 541, 1924, 2970, 3341, 4762, 5590, 6331, 7677, 225, 1349, 2783, 3602, 4737, 5503, 6525, 8244, 767, 1918, 2244, 3973, 4379, 5441, 6647, 8261, 363, 1755, 2795, 3812, 4236, 6058, 7173, 7915, 993, 1363, 2346, 4066, 4321, 6007, 7165, 7588, 104, 1252, 2456, 3949, 4374, 5777, 6820, 7339, 887, 2061, 2357, 3582, 5138, 5507, 7014, 8227, 211, 1721, 2975, 3631, 5020, 5689, 6921, 7881, 684, 1660, 2925, 3932, 5012, 5661, 6830, 8266, 804, 1944, 2326, 3188, 4583, 6128, 6979, 8195, 308, 2046, 2803, 3803, 4822, 5883, 6979, 7806, 804, 2046, 2783, 3945, 5183, 6195, 6786, 8237, 308, 1668, 3008, 4071, 5166, 6085, 6786, 7421, 804, 1508, 2803, 4068, 5159, 6051, 7239, 7766, 1099, 1998, 3110, 3916, 4912, 5705, 7162, 7876, 1020, 1601, 2946, 3691, 5145, 6171, 6486, 7706, 987, 1919, 3061, 3994, 4582, 5931, 7184, 7494, 761, 1782, 2922, 3628, 4736, 6034, 6566, 7843, 398, 1971, 2355, 3350, 4620, 5800, 7174, 7873, 1074, 1821, 3116, 3394, 4495, 6075, 6698, 8263, 884, 1472, 2951, 4091, 4752, 5810, 7187, 8211, 893, 2100, 3066, 3924, 4364, 6010, 6560, 8161, 893, 1597, 3029, 4037, 4408, 5890, 6566, 7776, 575, 1636, 2858, 3668, 4716, 5824, 6654, 7404, 308, 2111, 3006, 4152, 5193, 6125, 7206, 7643, 756, 1874, 2151, 3276, 5164, 5548, 7135, 7367, 952, 1998, 3097, 3521, 5029, 5294, 6771, 8099, 1025, 1938, 2901, 3639, 4682, 6118, 7072, 8225, 363, 2052, 2585, 3482, 4454, 5875, 6885, 7379, 884, 1518, 3097, 3579, 4804, 5498, 7151, 7657, 386, 1400, 2383, 3329, 4642, 5690, 6368, 7253, 923, 2048, 2660, 3540, 4539, 5869, 6900, 7603, 288, 1439, 2348, 4113, 4214, 5821, 6898, 7311, 308, 1562, 2238, 3374, 4374, 6137, 7095, 7384, 1099, 2068, 2746, 4011, 4551, 6103, 6752, 8076, 186, 2001, 2880, 3803, 5104, 6085, 6752, 7732, 153, 1280, 2709, 3564, 4867, 6205, 6786, 7876, 171, 1648, 2988, 3440, 5083, 5942, 6740, 7846, 518, 1752, 2454, 3225, 4983, 5678, 7103, 8083, 256, 1648, 2970, 3350, 4398, 5521, 7129, 8126, 256, 1851, 2729, 4166, 5080, 5550, 7120, 7664, 518, 2097, 3021, 4006, 4945, 6048, 6604, 7476, 256, 1750, 2340, 4071, 5080, 5550, 6604, 7509, 878, 2073, 2468, 3291, 4923, 5840, 7111, 7826, 959, 2032, 2560, 3987, 4780, 6175, 6755, 7715, 335, 1370, 2945, 3717, 4199, 6017, 6521, 7397, 277, 1914, 2674, 3897, 4585, 6088, 7169, 8108, 277, 1914, 2322, 4138, 4706, 5435, 6913, 7714, 277, 1914, 2674, 3267, 4562, 5714, 7007, 7813, 277, 1708, 2965, 4081, 4595, 6203, 6484, 8076, 277, 1633, 2192, 3906, 4314, 5639, 6814, 7630, 1001, 1873, 2678, 3199, 5181, 6002, 6694, 7831, 1022, 1854, 3090, 3493, 5012, 6019, 6947, 7620, 942, 1893, 2592, 3169, 4884, 5352, 6803, 8215, 803, 1512, 2610, 3325, 5022, 5873, 7206, 7889, 1102, 1338, 2648, 3963, 4738, 5818, 7197, 7984, 750, 1141, 3026, 4099, 4801, 5968, 7023, 7732, 211, 1566, 3026, 4153, 4191, 6040, 7111, 7259, 390, 1510, 2936, 4074, 4387, 5550, 6892, 8080, 211, 1164, 2741, 3710, 5139, 5590, 7132, 7570, 390, 1782, 2793, 4174, 4323, 6187, 6820, 7538, 1035, 1834, 2880, 3909, 4215, 5981, 6674, 7831, 641, 1460, 2751, 3190, 5026, 5378, 7129, 7776, 1084, 1944, 2872, 3363, 4604, 5811, 7096, 7678, 487, 2068, 3116, 3770, 4593, 5576, 6260, 8197, 545, 1700, 3109, 3394, 4872, 5800, 6921, 7279, 641, 1189, 2751, 3810, 4896, 6119, 6859, 7773, 1057, 1854, 2818, 3740, 4982, 6222, 6632, 7993, 536, 1496, 2912, 4003, 4805, 5452, 6663, 8092, 981, 1238, 2975, 4025, 4532, 5703, 6701, 7510, 663, 1512, 2463, 3649, 4829, 6165, 6690, 8040, 831, 1512, 2661, 3819, 4912, 5968, 6392, 7476, 1035, 1141, 2402, 3826, 4305, 5684, 6633, 7279, 850, 1280, 2298, 3873, 4912, 5999, 6704, 7290, 831, 1876, 2688, 3970, 5129, 5843, 6688, 7476, 216, 1991, 2661, 3553, 4954, 6039, 7058, 8179, 804, 1994, 2924, 3679, 4343, 5678, 6708, 8267, 308, 1881, 2803, 3516, 4925, 6129, 6709, 8245, 956, 1963, 2996, 4108, 5038, 5661, 7006, 7949, 818, 2068, 2838, 4174, 5061, 6051, 6979, 7766, 818, 1791, 3128, 4071, 5104, 5832, 6709, 8267, 818, 1528, 2957, 4018, 4630, 5705, 6786, 8147, 4, 2 ]

[ 1, 64, 66, 63, 48, 53, 44, 55, 5, 41, 26, 52, 78, 5, 17, 75, 5, 76, 26, 52, 30, 5, 30, 17, 51, 64, 5, 28, 44, 42, 14, 54, 5, 66, 73, 5, 53, 39, 51, 5, 31, 33, 63, 5, 16, 62, 45, 63, 16, 54, 64, 5, 43, 26, 5, 44, 54, 5, 31, 16, 5, 33, 63, 3, 225, 1597, 2491, 3400, 4902, 6189, 6310, 7920, 256, 1597, 2593, 3993, 4549, 5998, 7223, 7405, 256, 2106, 2833, 4068, 4387, 6097, 6529, 7405, 859, 1570, 2560, 4153, 4638, 6195, 6917, 7375, 579, 1971, 2340, 3532, 5075, 5942, 6740, 8164, 543, 1496, 3150, 3648, 4764, 5767, 6331, 7723, 617, 2073, 2654, 4096, 4214, 5890, 6604, 7627, 952, 1668, 2654, 3932, 5169, 5550, 6239, 8266, 1062, 1407, 2991, 4068, 4954, 6002, 6697, 7303, 893, 1415, 3139, 3950, 5085, 5512, 7188, 7783, 540, 1736, 2360, 3506, 4571, 6040, 6826, 7528, 1080, 1504, 2432, 3165, 4352, 6069, 7127, 8139, 1080, 1834, 2958, 3434, 4297, 5202, 6998, 7480, 992, 1640, 2672, 3986, 5032, 5884, 7244, 7934, 545, 1177, 2717, 4103, 4408, 5893, 6403, 7778, 582, 1118, 2814, 3227, 4294, 5660, 6432, 7510, 582, 1550, 2940, 3719, 4702, 5810, 6430, 8149, 986, 1655, 2615, 3941, 5148, 6165, 6365, 7447, 767, 1211, 2717, 4103, 5084, 5368, 7111, 7927, 223, 1758, 2925, 3314, 5080, 5260, 6463, 7948, 731, 1640, 2293, 4103, 4993, 5260, 6952, 7547, 767, 1886, 2661, 3251, 4536, 5935, 6388, 8179, 223, 1669, 2717, 3981, 4764, 5664, 6410, 7744, 1036, 1806, 2934, 3230, 4973, 6163, 6908, 7261, 986, 1177, 2515, 4142, 5168, 5589, 6517, 8075, 545, 1621, 2152, 3259, 5043, 5885, 6691, 7691, 582, 2050, 2481, 4103, 4364, 5565, 6482, 7775, 582, 1655, 2353, 4079, 4488, 6188, 6403, 7349, 986, 1912, 2565, 3493, 4887, 5224, 6267, 7770, 1011, 2008, 2163, 3981, 5153, 6147, 7069, 7447, 961, 1755, 2231, 3756, 4577, 5573, 6781, 7423, 970, 1376, 3080, 3390, 5134, 5349, 6225, 7547, 1011, 1865, 2481, 4136, 4485, 5663, 6646, 8094, 938, 1156, 2958, 3499, 4536, 5950, 6777, 7857, 271, 1110, 2868, 3455, 4773, 5210, 6613, 8179, 1081, 1637, 2365, 3196, 4713, 6070, 6284, 7675, 899, 1534, 2762, 3904, 5129, 5700, 6308, 7652, 256, 2030, 3026, 4124, 4212, 5677, 6613, 8016, 518, 1534, 3000, 3188, 5150, 5456, 6813, 7831, 256, 1452, 2941, 3188, 5159, 5548, 7239, 8030, 901, 1750, 3028, 3361, 4877, 5661, 6810, 7297, 541, 1789, 2328, 3183, 4180, 5297, 6296, 7891, 776, 1173, 3056, 3370, 5053, 5493, 6677, 7768, 736, 1983, 3149, 4081, 4253, 5658, 6969, 7253, 360, 1205, 2618, 3489, 4230, 5836, 6631, 7956, 249, 1199, 2769, 3995, 4730, 5742, 6321, 7779, 310, 1199, 2353, 3268, 4921, 5980, 7186, 7369, 725, 1503, 3001, 4090, 4688, 5829, 6383, 7528, 862, 1940, 2869, 3878, 4933, 5226, 6706, 7525, 360, 2127, 2869, 3460, 5054, 6169, 6518, 7313, 1101, 1772, 2869, 3788, 4401, 5504, 7020, 8178, 363, 1650, 2869, 3709, 4357, 5318, 7087, 7683, 581, 1171, 2710, 3599, 4564, 6179, 6230, 8226, 1023, 1650, 2359, 3720, 4319, 5499, 6706, 8139, 339, 2058, 2871, 3159, 4714, 5972, 6926, 7299, 917, 1284, 3091, 4078, 4915, 5696, 6749, 8180, 531, 2118, 3058, 3599, 4826, 5411, 6530, 7427, 693, 1180, 2869, 3245, 5117, 5466, 6832, 7405, 339, 1503, 2796, 3850, 5049, 5658, 7024, 7933, 1030, 1503, 2581, 4022, 5072, 5450, 6973, 8127, 738, 1503, 2402, 4168, 4442, 6114, 6936, 7852, 1063, 1463, 2407, 3425, 4587, 6147, 7016, 7831, 1024, 1799, 2545, 3709, 4590, 5364, 6726, 7912, 547, 1199, 2494, 3654, 4883, 5530, 6520, 7885, 692, 1199, 2653, 3250, 5022, 5413, 7230, 7792, 938, 1912, 2868, 3500, 5153, 5288, 6707, 7939, 970, 1199, 2911, 3525, 5134, 5475, 6612, 8193, 1014, 1264, 2708, 3205, 4512, 5224, 6771, 7972, 1014, 1797, 2316, 4146, 4448, 5899, 6314, 8150, 240, 1304, 2316, 3776, 4179, 6007, 7207, 8227, 240, 1304, 2946, 3788, 4351, 6014, 6627, 8188, 518, 1961, 3098, 4152, 5163, 5219, 6967, 7920, 844, 1826, 2371, 3776, 4318, 6164, 6749, 7477, 271, 1479, 2429, 3648, 4539, 5515, 6550, 7808, 875, 1865, 2271, 3785, 4777, 6176, 7044, 7904, 736, 1582, 2553, 4043, 5043, 5308, 6403, 7831, 645, 1318, 2871, 3751, 4281, 5624, 6859, 7720, 401, 1721, 2308, 3512, 4822, 5573, 6891, 8209, 955, 1932, 2679, 3493, 5044, 5300, 7218, 7641, 211, 1146, 2679, 3982, 4875, 6058, 7152, 7887, 1056, 1939, 2984, 4098, 4215, 5983, 6988, 8195, 390, 1916, 2520, 4093, 5153, 5702, 6709, 7965, 288, 1467, 2985, 3188, 4343, 6205, 6630, 7948, 663, 1897, 2679, 3492, 4630, 5630, 6852, 8245, 1056, 1919, 2363, 4027, 5143, 6051, 6852, 8066, 211, 1791, 2866, 3737, 4589, 5620, 6515, 7918, 1011, 1984, 2143, 3539, 4592, 5498, 6901, 8227, 1016, 1728, 2902, 3810, 4181, 6114, 6769, 7895, 1008, 1916, 2452, 4022, 4672, 5657, 6678, 8252, 736, 1401, 2748, 3656, 4994, 5742, 6957, 7810, 179, 1469, 2279, 4086, 4683, 5745, 6957, 8088, 966, 1582, 2512, 3462, 4364, 5724, 6309, 7400, 884, 1151, 2425, 3566, 4587, 5787, 6801, 7823, 763, 1635, 2727, 3770, 4804, 5205, 6851, 7593, 1088, 1650, 2725, 3269, 4702, 5325, 6377, 8105, 249, 1826, 2758, 3552, 4742, 5988, 6493, 7885, 363, 1435, 2972, 3643, 4664, 5298, 6358, 7456, 884, 1650, 2629, 3600, 5180, 6077, 6334, 8190, 1036, 1835, 2502, 3672, 4880, 6116, 6663, 7298, 493, 1521, 3091, 3245, 4811, 5645, 6493, 7324, 339, 1548, 2788, 4112, 5093, 5656, 6639, 7982, 546, 1110, 3073, 3684, 4740, 6153, 6923, 7678, 531, 1812, 2345, 3329, 4314, 5799, 6710, 8162, 333, 1503, 2629, 4087, 4248, 5411, 6661, 8178, 1067, 1503, 2911, 4087, 4900, 5822, 6422, 7637, 150, 1503, 2807, 3573, 4675, 6060, 6760, 8217, 725, 1199, 2868, 3279, 4858, 5224, 7102, 7860, 1081, 1496, 2842, 3679, 4321, 6152, 6452, 7759, 390, 1250, 2715, 3680, 5159, 5687, 6646, 7764, 390, 1915, 2391, 3803, 4867, 5840, 7077, 7658, 390, 1881, 2391, 3226, 5139, 6204, 7023, 7570, 1056, 1675, 2254, 3803, 4276, 5694, 7010, 8195, 288, 1146, 3026, 4171, 5060, 5630, 6709, 8260, 374, 2018, 2750, 4107, 4205, 6162, 7008, 7664, 631, 1498, 3126, 3623, 4617, 6104, 7003, 8044, 1017, 1162, 2887, 4128, 5124, 5397, 6765, 7626, 531, 1828, 2344, 3384, 4919, 5321, 6830, 7501, 1030, 1302, 3137, 3925, 4922, 5441, 6368, 8190, 693, 1509, 3123, 3417, 4335, 5819, 6781, 8228, 223, 1454, 2431, 3417, 4955, 6179, 6373, 7522, 537, 1454, 2307, 3233, 4503, 6221, 7148, 7366, 91, 1917, 2635, 3999, 4351, 5729, 7014, 7843, 935, 2028, 2754, 3680, 4181, 5705, 6891, 7825, 935, 2028, 2611, 3945, 4624, 6195, 6852, 8093, 186, 2032, 2164, 3240, 5159, 5219, 7098, 7641, 935, 2073, 2806, 3645, 5060, 5385, 7168, 8147, 935, 1648, 2781, 3866, 5044, 5219, 7239, 8223, 541, 1286, 3026, 3904, 4801, 5801, 7222, 7808, 225, 1570, 2349, 3487, 5160, 5298, 7152, 7677, 654, 1695, 2349, 3595, 4764, 5963, 7129, 7664, 228, 1695, 3048, 3914, 4344, 5413, 6338, 8132, 228, 2052, 3048, 4168, 4762, 5767, 6515, 7563, 228, 1750, 2904, 3297, 4859, 5719, 7181, 7715, 186, 2078, 2858, 3951, 4983, 6175, 6688, 7563, 860, 2017, 2806, 3595, 4704, 6139, 6996, 8196, 488, 2017, 2914, 3595, 4624, 6139, 7124, 7766, 488, 1528, 2914, 3825, 4624, 6139, 6794, 8223, 818, 1622, 3065, 4170, 4798, 5241, 6996, 7949, 512, 1963, 3043, 4166, 5038, 5612, 6979, 8179, 987, 1400, 2754, 4124, 4983, 6085, 6830, 8193, 862, 1331, 2210, 4082, 4611, 6086, 6820, 7687, 1023, 1164, 2422, 3426, 4644, 5224, 6803, 8163, 487, 1692, 2659, 3182, 4321, 5633, 7163, 7813, 103, 1682, 2311, 3309, 4539, 5364, 6830, 7519, 356, 1858, 2422, 3472, 4303, 6118, 6777, 7973, 211, 1858, 2495, 3692, 4398, 5515, 7006, 7965, 211, 1924, 2946, 3990, 4307, 6211, 7181, 7732, 397, 1540, 3105, 4039, 4321, 5787, 7091, 7528, 923, 2008, 3035, 3251, 4604, 5765, 7002, 8117, 737, 1550, 2710, 4007, 4309, 5551, 6725, 7442, 1004, 2061, 2926, 3623, 4708, 5884, 7140, 7270, 493, 2061, 2205, 3733, 4664, 5616, 6413, 7873, 192, 2118, 2623, 3245, 5069, 5663, 7041, 7622, 966, 1296, 2956, 3245, 4243, 5248, 6792, 7967, 465, 2120, 3041, 4007, 5122, 6125, 6998, 7369, 1101, 2100, 2316, 3318, 4321, 5970, 7219, 7761, 884, 1526, 2225, 3979, 4937, 5706, 7232, 8061, 271, 1349, 3005, 3486, 4233, 5777, 6398, 7879, 1025, 1865, 2149, 3769, 4586, 6025, 7201, 8205, 1025, 1494, 2868, 3771, 4845, 6163, 7085, 7936, 271, 1777, 2924, 3848, 5088, 5705, 6426, 8135, 643, 1171, 2865, 3498, 5125, 6183, 7079, 8150, 887, 1717, 2803, 3582, 4287, 6195, 7017, 8076, 887, 1717, 2340, 3642, 5169, 6195, 7010, 7677, 896, 1758, 2470, 4073, 4364, 5614, 6840, 7702, 1101, 1393, 2868, 3601, 4364, 5950, 6549, 7837, 1081, 1581, 2677, 3932, 4225, 6053, 6916, 7948, 1081, 2033, 3064, 3355, 5175, 5765, 7111, 8058, 887, 1141, 2357, 4151, 4598, 6000, 6642, 7908, 887, 1141, 2923, 3826, 4592, 6073, 7152, 7831, 887, 1635, 2678, 3917, 4774, 5260, 7100, 8236, 896, 1826, 2796, 3936, 4620, 5280, 7037, 8232, 462, 1695, 3116, 3485, 4689, 5633, 7231, 7817, 807, 1951, 2366, 3668, 5097, 6118, 6626, 7344, 807, 1545, 2595, 3329, 4298, 6135, 7010, 7313, 390, 1550, 3020, 3428, 4949, 5536, 7232, 8017, 308, 1286, 3135, 3662, 5026, 5694, 7132, 7485, 818, 2046, 3021, 3982, 4551, 5705, 7207, 7677, 914, 2041, 2984, 4108, 5104, 5767, 6774, 8083, 914, 2000, 3021, 4041, 5166, 6129, 7132, 7631, 512, 1791, 3021, 3188, 5159, 5573, 6979, 8179, 510, 1998, 3021, 4145, 5080, 5210, 7084, 8266, 967, 2046, 3064, 3891, 4888, 5614, 7120, 8266, 541, 1750, 2871, 3350, 4192, 6204, 6386, 7386, 391, 2098, 2559, 3595, 4181, 5300, 6752, 7421, 784, 1283, 2429, 3238, 5151, 5828, 6708, 7363, 363, 1252, 2487, 4110, 4901, 6118, 7126, 7856, 462, 1397, 2883, 3225, 4546, 5334, 6871, 7849, 137, 1397, 2495, 3973, 5040, 6180, 6865, 8061, 465, 2048, 2987, 3543, 4282, 6180, 6980, 7873, 344, 1930, 2156, 4147, 4683, 5863, 7083, 8189, 664, 1771, 2564, 3936, 4176, 5643, 6738, 7454, 664, 1993, 2564, 3943, 4952, 6104, 7181, 7758, 137, 1758, 2769, 3485, 5015, 5810, 6474, 8043, 692, 1494, 2905, 3365, 4636, 5954, 6856, 7614, 1067, 1541, 3058, 3517, 4212, 6154, 6357, 7929, 840, 2055, 2261, 4073, 4267, 5924, 7135, 7456, 876, 1930, 2132, 3660, 5170, 5965, 6941, 7995, 992, 1919, 2744, 3259, 4684, 5344, 6894, 7675, 113, 1210, 2846, 4072, 5171, 5640, 6581, 8040, 288, 2057, 3080, 4082, 4374, 6010, 6354, 7774, 860, 1945, 2895, 3188, 4366, 5901, 6410, 7591, 510, 2046, 2947, 3440, 5104, 6175, 7239, 8066, 914, 1620, 3128, 3440, 4888, 5883, 7023, 7557, 427, 2063, 2989, 3680, 4822, 6085, 7114, 8076, 484, 1874, 2730, 4068, 5080, 5210, 7077, 8076, 874, 1965, 2429, 3430, 4401, 5776, 7140, 7826, 617, 2111, 2560, 4089, 4912, 5767, 6799, 7367, 103, 1794, 2254, 3916, 5142, 5694, 6613, 8261, 304, 1116, 2533, 3190, 4606, 6128, 6465, 8267, 1052, 1640, 2492, 4037, 4795, 5935, 6385, 8221, 535, 1550, 2987, 3421, 5000, 5538, 6762, 7262, 1040, 1871, 2751, 3812, 4392, 5954, 7043, 8189, 536, 1640, 2316, 3741, 4522, 6191, 6847, 8129, 646, 1540, 3020, 3394, 4946, 5767, 6965, 7535, 668, 1553, 2156, 3936, 5135, 5771, 6403, 7555, 862, 2107, 2891, 4074, 4675, 5918, 7090, 8061, 665, 1758, 2312, 3589, 4278, 6078, 6426, 7329, 692, 1881, 2913, 3647, 5042, 6178, 6761, 8133, 104, 1268, 2186, 3643, 4954, 5251, 6872, 8210, 993, 1736, 2432, 3660, 4665, 5645, 6984, 7952, 1084, 1268, 2494, 3815, 4784, 5918, 6746, 8213, 807, 2065, 2349, 3376, 4777, 5869, 6684, 8190, 536, 1494, 2693, 4103, 4530, 5645, 6888, 7815, 807, 1424, 3020, 3329, 4777, 5970, 7131, 8207, 465, 2033, 2156, 3180, 4833, 5954, 6654, 7476, 150, 1472, 2225, 3358, 4586, 6154, 6592, 7451, 1025, 1777, 2659, 3743, 4870, 5539, 6528, 7986, 401, 1721, 2871, 3975, 4720, 5730, 7198, 7966, 390, 2001, 2726, 3917, 4586, 5983, 6716, 7421, 304, 2068, 2724, 4101, 4592, 5797, 6589, 7641, 1056, 2033, 3053, 4011, 5080, 6175, 7111, 8266, 804, 1458, 2258, 3201, 4513, 5216, 6486, 7641, 654, 2002, 2709, 4125, 5083, 5678, 6786, 7881, 654, 1525, 2725, 3754, 4630, 5605, 7168, 7707, 225, 2111, 2976, 3227, 4630, 5899, 6338, 7421, 256, 1756, 2554, 4011, 5167, 5610, 7160, 8083, 757, 1529, 2341, 4057, 4916, 5983, 6430, 7942, 967, 2073, 2833, 4145, 4326, 5935, 6895, 8266, 707, 1490, 2664, 3374, 4824, 6175, 6740, 7458, 579, 2127, 2959, 3623, 5044, 5503, 7019, 7270, 1102, 1490, 2554, 3592, 4559, 5378, 7161, 8236, 319, 1318, 3130, 4145, 4717, 5810, 6608, 7290, 536, 1582, 2670, 3660, 4305, 5948, 6324, 7586, 113, 1934, 2316, 3183, 4809, 5293, 6933, 8013, 313, 1609, 2316, 3869, 4299, 5633, 6324, 7884, 212, 1990, 2570, 3394, 4976, 5945, 6456, 7748, 673, 1463, 2335, 3741, 4273, 5411, 6707, 8044, 880, 1293, 2547, 3394, 4467, 5450, 6396, 7678, 966, 1609, 2869, 3654, 4961, 5423, 7110, 7996, 810, 2107, 2869, 3841, 4520, 5863, 6653, 7676, 293, 1489, 2725, 4052, 5014, 5999, 6552, 7542, 662, 1919, 3055, 3975, 4612, 5322, 6651, 7538, 662, 1472, 2532, 3307, 4305, 6107, 6880, 7515, 662, 1397, 3091, 3341, 4938, 5603, 6443, 8062, 692, 1732, 2911, 3727, 4717, 5886, 6783, 8117, 569, 1550, 2974, 4096, 4321, 5538, 6799, 8081, 807, 1919, 2580, 3521, 5151, 5956, 7072, 7263, 487, 1660, 2316, 3165, 4604, 5787, 6241, 7936, 807, 1140, 2631, 3613, 4439, 6080, 7082, 7929, 930, 1842, 2534, 3623, 4546, 5924, 7148, 7834, 1003, 1778, 2670, 3417, 4833, 5280, 7118, 8124, 113, 1821, 2429, 3356, 4386, 5600, 7183, 7943, 864, 1171, 3091, 3162, 4364, 6164, 6422, 8047, 641, 1972, 2429, 3304, 4179, 5694, 7098, 7472, 778, 1771, 2429, 3300, 4993, 5761, 6463, 7454, 104, 1141, 2272, 3917, 4588, 5904, 7244, 7962, 1025, 1337, 2436, 3452, 4553, 5320, 6976, 7472, 424, 1141, 3101, 3602, 4993, 6204, 6871, 7838, 884, 2079, 2561, 3603, 4762, 5570, 6832, 7574, 806, 1971, 2751, 3639, 4189, 6076, 6612, 8241, 880, 1126, 2436, 3498, 4755, 5749, 6449, 7555, 807, 1930, 2464, 3792, 4795, 5954, 6816, 7965, 582, 1685, 3091, 3525, 4321, 5539, 7232, 7873, 1003, 1550, 2480, 4007, 5151, 5980, 6901, 7980, 487, 1717, 3091, 3709, 4720, 5223, 6670, 7795, 545, 1858, 2369, 3623, 4392, 5898, 7215, 7869, 722, 1121, 2534, 3329, 5110, 6044, 6883, 7996, 807, 1919, 2614, 3623, 5178, 5443, 6225, 7435, 487, 1455, 2313, 3623, 4351, 5403, 6734, 7869, 234, 1644, 3116, 3363, 5151, 5600, 6413, 7916, 620, 1164, 2751, 3418, 4212, 6119, 7095, 8212, 620, 1561, 2316, 3575, 4437, 5539, 6504, 8081, 888, 1164, 3030, 4030, 4985, 5384, 6255, 7291, 265, 1489, 2751, 3324, 4474, 5615, 6444, 7311, 952, 1942, 2963, 3615, 5151, 5304, 6870, 7863, 981, 1842, 2316, 3832, 4364, 5884, 7102, 7952, 1024, 1732, 2484, 4137, 4572, 5610, 6980, 8137, 913, 1932, 2915, 3342, 4993, 6178, 6231, 8081, 585, 1118, 3061, 3424, 5005, 5643, 6889, 7926, 938, 1806, 2593, 3935, 4224, 6107, 6507, 8117, 103, 1663, 2629, 3741, 5134, 5345, 7174, 7799, 1011, 1968, 2771, 3246, 5016, 6119, 7012, 7918, 693, 1397, 2564, 3468, 4945, 6171, 6542, 7986, 693, 1732, 2564, 3824, 5053, 6144, 6373, 8035, 693, 1919, 2918, 3522, 5020, 6111, 6651, 7584, 265, 1821, 2984, 3424, 4615, 5767, 7122, 8061, 265, 2107, 2593, 3955, 4945, 5299, 6582, 8076, 265, 1489, 2548, 3340, 5000, 6002, 6324, 7604, 1062, 1323, 2581, 3740, 5026, 5512, 6618, 7800, 738, 1586, 3039, 4150, 5007, 5672, 6734, 7881, 1063, 1296, 2548, 3679, 4843, 5396, 6392, 8065, 961, 1526, 3066, 4003, 4764, 5666, 6723, 7823, 1038, 1728, 2987, 3187, 4751, 5314, 6614, 8210, 1062, 1703, 2987, 4146, 4570, 5359, 7048, 7918, 645, 1184, 3003, 4017, 4781, 5988, 6859, 7716, 645, 1773, 2959, 3259, 4239, 5752, 7168, 7753, 512, 1675, 3033, 3533, 5018, 5567, 6979, 7948, 308, 1998, 2959, 4174, 5104, 5832, 7201, 7717, 1099, 2111, 3110, 4018, 4630, 5832, 6953, 7421, 488, 1945, 3135, 4018, 4704, 6139, 6972, 7949, 488, 2017, 2781, 4071, 4551, 5901, 6709, 8260, 488, 2017, 2914, 4071, 4704, 6081, 7006, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7201, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 4, 2 ]

[ 1, 14, 66, 5, 64, 45, 51, 64, 5, 44, 54, 5, 31, 16, 5, 53, 20, 63, 54, 44, 55, 5, 5, 3, 797, 2017, 3117, 3367, 4704, 6211, 7124, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3825, 4624, 6139, 6794, 7766, 488, 1528, 3065, 4018, 4798, 6186, 6794, 8196, 899, 1827, 2838, 4018, 4512, 5212, 6709, 7732, 660, 1349, 2549, 3305, 5180, 5570, 7055, 7470, 161, 1494, 2282, 3765, 5122, 5414, 6950, 7286, 660, 2003, 2787, 4137, 4631, 5497, 6536, 8084, 857, 1747, 2941, 4137, 4435, 6117, 6565, 8109, 956, 1623, 2669, 3226, 5006, 5963, 6630, 8016, 935, 1467, 2746, 3277, 5104, 5661, 7006, 8267, 789, 2017, 2834, 3516, 5153, 5493, 6604, 7485, 195, 1108, 2398, 3746, 5143, 5586, 6517, 7538, 824, 1108, 3004, 4026, 5053, 6125, 6749, 8102, 127, 2060, 2554, 3595, 4413, 5723, 6412, 7782, 127, 1488, 2469, 3277, 4398, 6216, 7232, 7367, 518, 2127, 2683, 3277, 5128, 5333, 7129, 7887, 518, 1750, 2554, 3827, 5193, 5844, 6338, 7537, 518, 1750, 2775, 3277, 5079, 5534, 6576, 7303, 518, 1750, 2965, 3227, 5164, 5689, 7217, 7918, 1059, 1797, 2157, 4161, 4305, 6112, 6605, 7555, 318, 1280, 2332, 3448, 4522, 5963, 6468, 7614, 492, 1708, 2327, 3842, 4818, 5224, 6671, 7998, 113, 1942, 2355, 3968, 4635, 6062, 6578, 7991, 684, 1566, 2488, 4145, 5150, 5767, 7018, 7451, 186, 1147, 2703, 3873, 5183, 5765, 7132, 7476, 818, 1508, 3007, 4174, 4551, 6129, 7084, 7723, 956, 2000, 2991, 3982, 4980, 6081, 7084, 7876, 935, 1600, 2960, 3982, 5166, 6182, 6988, 7806, 272, 1320, 3141, 3955, 4870, 5413, 6717, 7394, 541, 1198, 2941, 3855, 4762, 5650, 7168, 8093, 195, 2098, 2242, 3515, 4533, 5296, 7069, 7538, 195, 1570, 2454, 4124, 5128, 5875, 6921, 8036, 225, 2060, 2775, 3550, 5160, 5514, 6584, 7317, 518, 2118, 2833, 3851, 5048, 5219, 7152, 8061, 256, 2111, 2542, 3277, 4344, 5298, 7163, 8080, 240, 1826, 2839, 3932, 4214, 5942, 7006, 7716, 390, 1791, 2212, 3726, 5139, 6175, 6283, 8266, 392, 2095, 2397, 3370, 5145, 5660, 6759, 7423, 685, 1972, 2455, 4162, 4670, 5942, 6521, 7423, 223, 2068, 2636, 4082, 4859, 5534, 6872, 7959, 1033, 1278, 2911, 4096, 4212, 6123, 6982, 8075, 731, 1992, 2440, 3361, 4337, 5297, 6723, 8056, 223, 2068, 2868, 4082, 4991, 5903, 6579, 7676, 1033, 1278, 2868, 3513, 5152, 6193, 7086, 7799, 731, 1427, 2638, 3932, 4374, 5694, 7157, 8256, 807, 1682, 2404, 4036, 4298, 5321, 6745, 7424, 266, 1547, 2152, 4072, 4403, 5787, 6429, 7795, 840, 2081, 2274, 3910, 5085, 5220, 7232, 7810, 386, 1849, 2352, 3905, 4992, 5678, 6615, 7895, 955, 1411, 2732, 4027, 5020, 5359, 7069, 7657, 731, 1998, 2366, 3848, 4556, 5850, 6764, 7677, 223, 2024, 2659, 3932, 4374, 5641, 7193, 7296, 752, 1994, 2595, 4043, 4374, 6128, 6677, 7557, 942, 1721, 2387, 3600, 4781, 6000, 6585, 7602, 271, 1981, 2769, 3463, 5085, 5564, 7067, 7703, 150, 1383, 2425, 3573, 4727, 6208, 6567, 7861, 110, 1720, 2203, 3727, 4875, 5570, 6388, 7822, 1066, 1867, 2731, 3388, 4310, 5938, 6874, 7570, 1025, 1867, 2280, 3727, 5118, 5776, 6373, 7702, 610, 1609, 2142, 3906, 4264, 5486, 6542, 7955, 150, 1727, 2348, 3464, 4295, 5388, 6716, 7815, 271, 1838, 2549, 3196, 5110, 5305, 6256, 7666, 641, 1669, 2265, 3170, 4929, 5485, 6295, 7790, 1084, 1512, 2273, 3593, 4650, 5654, 6550, 8025, 776, 1141, 2498, 4152, 5026, 5221, 6703, 7919, 1057, 1972, 2462, 3916, 4918, 5876, 6872, 7835, 970, 1141, 3106, 3767, 4444, 5717, 7237, 7604, 424, 1363, 3092, 3593, 5115, 5590, 6352, 7887, 663, 1847, 2924, 3756, 5139, 5630, 7114, 7822, 862, 1269, 2429, 3162, 4723, 5862, 6565, 7930, 870, 1283, 2196, 3409, 4956, 5523, 6295, 7614, 221, 2051, 2196, 3973, 4972, 5577, 6348, 7946, 221, 1808, 2855, 4007, 4671, 5443, 6596, 7799, 487, 1682, 2383, 3770, 4339, 5341, 6628, 7442, 487, 1863, 2346, 3458, 4604, 5782, 6393, 7673, 1025, 1867, 2357, 3679, 4834, 5661, 7017, 8073, 643, 1850, 3080, 3878, 4717, 5740, 6871, 7846, 731, 1427, 2661, 3710, 4308, 5573, 6918, 8208, 1025, 1141, 2313, 4066, 5143, 6084, 6560, 7532, 211, 1998, 2313, 4152, 4630, 6181, 6240, 8245, 308, 2001, 3098, 3945, 4447, 5901, 7168, 7570, 308, 2000, 3064, 4174, 4589, 5832, 6852, 7570, 1097, 2000, 2947, 3886, 4822, 5241, 6972, 7806, 488, 1648, 3110, 3710, 4822, 6211, 6979, 8147, 818, 2000, 2164, 3893, 4888, 6139, 6794, 7485, 818, 2017, 2164, 3982, 4980, 5832, 7239, 8223, 818, 1622, 2806, 3893, 5080, 5241, 7124, 7641, 488, 1528, 2914, 3886, 4624, 6139, 7239, 8196, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1528, 3065, 3825, 4512, 6139, 6972, 8126, 915, 2017, 2164, 3825, 4512, 6186, 6794, 8196, 915, 2017, 2164, 3893, 4512, 6186, 6794, 7716, 915, 1974, 2554, 3367, 4704, 5767, 6589, 7716, 915, 1648, 2858, 3914, 4859, 6139, 7077, 7865, 915, 1622, 2858, 3825, 4798, 5413, 7006, 8261, 915, 2017, 2970, 3825, 4764, 5550, 6794, 7717, 915, 2017, 2858, 3893, 4859, 6139, 6996, 8126, 488, 1528, 3065, 3893, 4512, 6139, 6996, 8126, 488, 1528, 2970, 3893, 4624, 5811, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 4, 2 ]

[ 1, 16, 5, 63, 17, 65, 5, 31, 14, 66, 5, 67, 63, 73, 5, 31, 16, 5, 67, 63, 48, 5, 53, 33, 54, 5, 20, 41, 5, 31, 33, 63, 5, 41, 48, 66, 5, 5, 3, 945, 1528, 2806, 4068, 4704, 6129, 7077, 8147, 914, 1791, 2941, 4115, 5165, 6123, 6677, 8147, 1006, 1582, 2866, 3165, 4806, 5251, 6673, 7605, 492, 1582, 2910, 3468, 5198, 5721, 7020, 7642, 769, 1582, 2445, 3497, 4479, 5334, 6754, 7355, 660, 1582, 2689, 3351, 4457, 5490, 6882, 7620, 1067, 1207, 2741, 3284, 4595, 5745, 6858, 7644, 1067, 1669, 2492, 3341, 4212, 5654, 6492, 8023, 826, 1796, 3074, 3378, 5036, 6218, 7019, 7739, 778, 1424, 2556, 3998, 4650, 5574, 6623, 7560, 831, 1850, 3076, 4133, 4621, 6064, 6630, 7673, 663, 1809, 2397, 3231, 4287, 6146, 7065, 7754, 831, 1175, 3151, 4151, 5155, 5589, 6936, 8145, 610, 1577, 2469, 3540, 4533, 5565, 6998, 7756, 831, 1369, 2626, 4076, 4554, 5223, 6260, 8036, 610, 1152, 2469, 3487, 4592, 5413, 6823, 7405, 536, 1797, 2484, 4066, 4705, 5353, 7221, 7863, 936, 1559, 2396, 4123, 4595, 5559, 6723, 8207, 360, 1682, 2878, 3948, 4332, 5752, 6365, 7395, 875, 1815, 2191, 3875, 4831, 5783, 7194, 8253, 249, 1838, 2790, 3373, 5190, 5508, 7212, 7277, 113, 1904, 3080, 4009, 4688, 5414, 7070, 7795, 776, 1526, 3066, 3245, 4924, 6052, 6876, 7748, 1062, 2065, 2553, 3245, 4868, 5504, 7171, 7329, 1062, 1424, 2810, 3975, 4877, 6025, 7198, 7948, 833, 1523, 2987, 3857, 4849, 5439, 7017, 7586, 859, 1939, 2918, 3233, 5104, 5983, 7237, 8241, 757, 1570, 3149, 3895, 5167, 5942, 7218, 8164, 568, 2106, 2775, 3470, 5104, 6163, 6313, 7311, 183, 2106, 2946, 3827, 4398, 6149, 6852, 7473, 757, 1286, 2542, 3681, 4877, 5477, 7024, 7919, 757, 2127, 2287, 4153, 5159, 5767, 7024, 7876, 617, 1750, 2970, 3550, 4522, 6110, 6752, 7557, 859, 2111, 2833, 3994, 4287, 5677, 7181, 7806, 186, 1876, 2833, 3994, 4870, 5550, 6604, 7876, 201, 1528, 3117, 3803, 4888, 5963, 7124, 8236, 488, 2017, 3117, 3367, 4624, 6139, 7077, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7124, 7766, 915, 1528, 2164, 3893, 4870, 6186, 7120, 7949, 1065, 1797, 2473, 4026, 4890, 6113, 6965, 7936, 249, 1507, 2868, 3777, 4755, 6143, 6373, 7689, 681, 1628, 2455, 4172, 4510, 5250, 6998, 7924, 526, 1496, 2171, 3187, 4495, 5379, 6663, 7967, 113, 1887, 2869, 4072, 4776, 6169, 6965, 7972, 650, 1139, 3137, 3366, 4635, 5672, 6663, 8102, 1099, 1777, 2293, 4153, 4287, 5963, 6918, 7397, 935, 1851, 3110, 3516, 4844, 5385, 6771, 7641, 789, 2030, 2730, 3516, 5007, 6175, 7160, 8185, 935, 1851, 3144, 3908, 4398, 5219, 7201, 8126, 789, 2097, 2746, 4113, 4398, 5901, 6671, 8195, 419, 2030, 2941, 3595, 4630, 5493, 6338, 8126, 789, 2017, 2473, 3914, 4704, 5677, 6677, 7485, 789, 2030, 3133, 4006, 5104, 6149, 6889, 7485, 256, 1750, 2473, 4145, 4704, 5550, 6889, 7664, 518, 1623, 2709, 3576, 4890, 5730, 7051, 7367, 878, 1386, 3026, 3576, 5075, 5296, 6520, 7498, 552, 1851, 2775, 4124, 4374, 5963, 6889, 7749, 857, 1596, 2678, 3873, 4224, 6065, 6717, 7538, 752, 1234, 2799, 3749, 4542, 5378, 6551, 7714, 1029, 1918, 2648, 3679, 4334, 5717, 6901, 7965, 993, 1831, 2232, 3963, 5169, 5509, 6566, 7397, 993, 1141, 2975, 3165, 4184, 5212, 6308, 7742, 993, 1831, 3092, 3169, 4361, 5766, 6840, 7415, 608, 1865, 2892, 3187, 4701, 5527, 6918, 7488, 936, 1867, 2610, 3731, 4390, 5674, 6813, 8254, 936, 1318, 2794, 4101, 4545, 6163, 7106, 7627, 104, 1317, 2200, 3915, 4546, 5410, 6623, 8143, 104, 1317, 2923, 4084, 5196, 6180, 7057, 8103, 1090, 1655, 2232, 3487, 4298, 5709, 6772, 7774, 833, 1871, 2941, 3582, 4954, 5576, 6813, 7409, 756, 1700, 2895, 3440, 4705, 5678, 6709, 7677, 715, 2083, 2560, 3983, 4762, 5515, 6281, 7768, 844, 1655, 2939, 4125, 4876, 5910, 6884, 7869, 1067, 1655, 2492, 3192, 4687, 5737, 6626, 8140, 608, 1531, 2346, 3999, 4461, 6222, 6654, 7828, 344, 1554, 2748, 3582, 5124, 5954, 7043, 8071, 344, 1531, 2748, 3383, 4934, 5266, 6348, 8189, 750, 1770, 2346, 4004, 5164, 5390, 6344, 7614, 789, 2084, 2947, 4125, 4870, 5436, 6704, 8080, 256, 1597, 2669, 4085, 4764, 6103, 6972, 7881, 256, 2030, 2941, 4150, 4282, 5661, 7051, 7485, 256, 1635, 2729, 3866, 5165, 6160, 7077, 8061, 878, 1736, 2661, 3931, 4782, 5766, 6403, 8132, 256, 1684, 2473, 3582, 4762, 5580, 7017, 7557, 256, 2073, 3064, 4113, 4681, 5624, 7207, 8132, 541, 1596, 2473, 3239, 4918, 5689, 6296, 7426, 878, 1141, 2469, 3795, 4237, 6175, 7033, 8009, 579, 2043, 2242, 3352, 4512, 5951, 6333, 8230, 1015, 1141, 2970, 3420, 4334, 6175, 7090, 7349, 132, 1141, 3108, 3748, 4764, 5385, 6251, 7831, 223, 1141, 2874, 4093, 4191, 5436, 7152, 8185, 150, 1189, 2678, 4044, 4993, 5918, 6804, 7969, 443, 1324, 2896, 3792, 4774, 5212, 6364, 7921, 443, 1561, 2436, 3936, 5000, 6061, 6872, 8121, 465, 1510, 2927, 3936, 4641, 6001, 6890, 8134, 807, 1754, 2378, 3261, 5067, 5347, 6327, 7705, 807, 1808, 2797, 3970, 4983, 6118, 7181, 7651, 807, 1816, 2631, 3351, 4770, 5615, 6592, 8117, 993, 1550, 2874, 3768, 4321, 5538, 7108, 7396, 826, 1832, 2188, 3286, 4212, 5899, 6348, 7778, 831, 1227, 2728, 3358, 4276, 5204, 7132, 7678, 1025, 1671, 2389, 3436, 4440, 6063, 6752, 7577, 831, 1700, 2918, 3910, 4592, 5903, 7168, 7919, 1025, 2107, 2661, 3513, 5095, 6051, 6242, 7992, 778, 1797, 2946, 3540, 5015, 5515, 7168, 7664, 104, 1858, 2582, 3395, 4690, 5573, 7201, 7255, 826, 2045, 2946, 4026, 5095, 6014, 7100, 8107, 313, 1397, 2476, 3551, 4335, 5432, 6442, 7794, 786, 1826, 2731, 3232, 4539, 5776, 6456, 8046, 535, 1695, 2888, 4067, 4321, 5884, 6847, 7680, 1040, 1110, 2751, 3865, 4195, 5716, 6547, 8031, 480, 1778, 2732, 4007, 4678, 5254, 6764, 7508, 639, 1704, 2482, 3313, 4732, 5600, 6899, 7834, 1040, 1789, 3029, 3282, 4946, 5843, 6869, 7355, 641, 1992, 2282, 3962, 5031, 5869, 7012, 8117, 408, 1227, 2690, 4096, 5088, 6026, 7220, 7490, 641, 1821, 2282, 3424, 4791, 6208, 6488, 7582, 862, 1770, 3116, 3415, 4952, 5977, 7008, 7889, 1080, 1838, 2603, 3741, 5145, 5449, 6331, 7462, 113, 1251, 2580, 3409, 4833, 5670, 6977, 8031, 517, 1543, 2588, 4103, 4933, 5634, 6476, 7519, 1067, 1720, 2571, 3205, 4330, 5600, 6571, 7373, 123, 2036, 2294, 4100, 5193, 5512, 6359, 7828, 371, 1704, 3149, 3727, 5041, 5414, 6580, 7727, 339, 1838, 2997, 3936, 4910, 5432, 6326, 7904, 271, 2028, 3148, 4128, 4408, 5847, 6438, 8168, 750, 2088, 2321, 3390, 4700, 5553, 7085, 7336, 878, 1665, 2136, 3188, 4804, 5527, 7221, 7598, 518, 1684, 2971, 3204, 4344, 6163, 6889, 8134, 518, 2106, 2880, 3680, 4775, 5550, 6757, 8093, 256, 1851, 2880, 4115, 4205, 5811, 7024, 7949, 789, 1345, 2473, 4115, 5083, 5241, 7129, 8262, 789, 2073, 2473, 3803, 4681, 5372, 7069, 7260, 789, 1937, 2984, 3231, 4398, 5556, 7181, 7965, 789, 1475, 2834, 4157, 4459, 6182, 6774, 7402, 256, 1622, 2473, 4026, 4918, 5579, 6709, 8185, 403, 1705, 2582, 3909, 5120, 5661, 6719, 7723, 1067, 1320, 2980, 3356, 4392, 5783, 6325, 7682, 399, 1507, 2282, 3329, 4982, 5874, 6480, 8028, 723, 2118, 2751, 3282, 4664, 5656, 7219, 7627, 1040, 1832, 2751, 3356, 4254, 5835, 7119, 7494, 897, 1323, 2137, 3222, 4459, 6122, 6651, 7378, 492, 1453, 3034, 3943, 5164, 5492, 7229, 8241, 113, 2118, 3066, 4072, 4800, 5307, 6674, 7652, 1066, 1472, 2869, 4056, 4434, 5782, 6740, 7862, 961, 1581, 3137, 3338, 4351, 6043, 6483, 8140, 518, 2079, 2554, 3480, 4676, 6221, 7129, 8096, 518, 2030, 3064, 3201, 4529, 5436, 6589, 7677, 518, 1452, 2775, 3188, 4918, 5556, 6884, 7811, 256, 2064, 2729, 4145, 4870, 5765, 7232, 7643, 256, 1175, 2729, 3394, 4888, 5960, 6677, 7806, 256, 2030, 3105, 3771, 5138, 5677, 7006, 7816, 256, 1851, 2473, 3914, 5135, 6103, 7010, 8049, 440, 1525, 3109, 4085, 5053, 5795, 7232, 7563, 518, 1851, 2473, 3803, 4870, 5514, 6810, 8179, 901, 1286, 3026, 4011, 4326, 5500, 7004, 8053, 153, 1388, 2783, 3891, 4192, 5963, 6576, 8076, 1071, 1834, 2560, 3776, 4191, 5457, 6333, 8178, 986, 2053, 2751, 3159, 4797, 5773, 7219, 7513, 487, 1399, 2610, 3291, 4760, 5575, 6704, 7740, 545, 1858, 3116, 3159, 4952, 5470, 6422, 7453, 356, 1591, 2751, 3756, 4755, 6000, 6998, 7365, 678, 1706, 3020, 3193, 4800, 5918, 6296, 8048, 980, 1458, 2946, 3993, 5179, 5462, 6348, 7846, 1037, 1782, 3043, 3589, 4488, 6065, 6589, 7365, 859, 2046, 2760, 3909, 4877, 5981, 6966, 7508, 797, 1623, 2781, 4174, 5058, 6139, 7152, 7570, 186, 1998, 3007, 4145, 5058, 6129, 6996, 8237, 397, 1695, 3141, 3681, 5167, 5923, 6443, 8221, 617, 1847, 2302, 3723, 5159, 5436, 6338, 7811, 859, 1147, 2970, 3407, 4870, 5963, 7129, 7563, 945, 1528, 3021, 3893, 4583, 5892, 6584, 7485, 860, 1528, 2806, 3825, 4704, 6139, 7152, 7766, 860, 1528, 2914, 3825, 4624, 6139, 7077, 7766, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 488, 1648, 2914, 3893, 4870, 5635, 6677, 8223, 488, 1648, 2914, 3893, 4387, 5767, 6988, 8147, 915, 1876, 2970, 3827, 4890, 6139, 6589, 7485, 915, 2106, 2806, 4068, 4888, 5901, 6794, 8083, 915, 1622, 3021, 3914, 4870, 5892, 6677, 8223, 915, 1622, 2833, 3825, 4798, 6139, 7120, 8196, 488, 1528, 3065, 3914, 4870, 5550, 7226, 8147, 915, 1622, 3021, 3914, 4870, 5550, 7207, 8237, 915, 1622, 3021, 3914, 4387, 6081, 7077, 7723, 915, 1622, 2833, 3914, 4622, 5550, 7207, 8223, 488, 1648, 2806, 3893, 4704, 5635, 6752, 8126, 488, 1528, 3021, 3893, 4624, 6081, 7124, 8223, 488, 1648, 2833, 4071, 4624, 6139, 6794, 8196, 4, 2 ]

[ 1, 52, 69, 51, 5, 14, 66, 5, 77, 20, 63, 5, 51, 52, 57, 31, 78, 5, 5, 5, 16, 54, 30, 5, 77, 20, 63, 5, 41, 20, 63, 43, 32, 30, 5, 5, 3, 555, 1496, 2918, 3595, 4512, 5241, 6604, 8147, 555, 2111, 2858, 4174, 4822, 5678, 6612, 7865, 915, 2111, 3021, 3893, 4512, 5241, 6996, 8237, 915, 1468, 2970, 3891, 4681, 5241, 6740, 7557, 142, 1528, 2806, 3825, 4624, 5241, 7077, 8147, 142, 1528, 2806, 3825, 4798, 6139, 7226, 8147, 818, 2017, 3065, 3893, 4624, 5832, 6979, 7485, 1090, 1681, 2503, 4068, 4423, 5901, 6809, 7876, 993, 1496, 2868, 3474, 4896, 6006, 6494, 7554, 778, 1596, 3103, 3853, 4534, 5780, 6313, 7948, 988, 1703, 2316, 3245, 4690, 5492, 6319, 7647, 900, 1604, 2474, 3770, 5022, 6166, 7019, 7983, 480, 1199, 2868, 3655, 5128, 5854, 6343, 8078, 1056, 1173, 2814, 3516, 5145, 5296, 7014, 7687, 1056, 1331, 2391, 4027, 4670, 5573, 7023, 7547, 914, 2073, 2293, 3645, 5166, 5987, 6954, 7631, 143, 1509, 3035, 3261, 4991, 6123, 7109, 7855, 536, 1881, 2708, 3753, 4351, 6006, 6492, 8230, 280, 1768, 2422, 3306, 4743, 5310, 7081, 7991, 421, 2015, 2724, 3600, 4860, 6069, 6810, 7515, 480, 1971, 2596, 3396, 4948, 5642, 6622, 8034, 779, 1889, 2921, 3425, 5096, 5503, 6732, 7575, 571, 1995, 2727, 4000, 4542, 5503, 7018, 7260, 225, 1865, 3043, 3555, 4186, 6206, 7197, 8266, 568, 2008, 2370, 3178, 4412, 5590, 6627, 7545, 225, 1831, 2468, 3178, 4586, 5694, 7160, 7445, 397, 1400, 3052, 3540, 5150, 5837, 6844, 7485, 204, 1736, 2872, 3256, 4863, 5577, 6455, 7311, 1098, 1382, 2552, 3762, 5160, 5370, 7003, 7297, 154, 2059, 2654, 3731, 4658, 6041, 6555, 7786, 748, 1862, 2540, 3551, 4852, 5747, 6684, 8200, 277, 1516, 2599, 3586, 5021, 5272, 6370, 7819, 450, 1830, 2599, 3851, 4965, 5621, 6257, 7778, 951, 2088, 3046, 3618, 4595, 5703, 7219, 7269, 510, 2106, 3080, 3564, 4276, 6205, 6809, 7715, 984, 1705, 2944, 3982, 4583, 5565, 6554, 8261, 571, 1874, 2880, 4145, 5058, 5534, 6996, 8237, 510, 2017, 2746, 4174, 4379, 5241, 6852, 8185, 935, 2064, 2996, 3982, 4583, 5850, 7239, 8196, 508, 2060, 2139, 4046, 4931, 5876, 6778, 7707, 865, 1547, 2341, 3882, 4219, 5603, 6895, 8244, 508, 1773, 2355, 3175, 5032, 5242, 6452, 7749, 513, 1388, 2496, 3715, 4470, 5678, 7017, 7620, 731, 1974, 3150, 3525, 4373, 6046, 6967, 7248, 781, 1199, 3070, 3325, 4369, 6121, 6701, 7408, 893, 1178, 2509, 3934, 4761, 6080, 6797, 7286, 862, 1740, 2304, 3576, 4338, 6116, 6371, 7886, 381, 1180, 2540, 3790, 5081, 5496, 7139, 7676, 212, 1231, 2574, 3259, 5005, 5894, 6866, 8225, 449, 1338, 2365, 4021, 5005, 6191, 7212, 7663, 975, 1740, 2813, 3700, 4248, 5665, 6837, 8046, 668, 2124, 2667, 3986, 4499, 5940, 6350, 7833, 975, 1205, 2265, 4021, 4842, 5574, 7092, 8022, 975, 1205, 2705, 3850, 4508, 5961, 7097, 8253, 668, 1180, 2311, 3751, 4508, 5567, 6866, 7852, 668, 1205, 2407, 3446, 4256, 5567, 7140, 7756, 547, 1205, 2570, 3446, 4757, 5283, 6807, 8218, 692, 1205, 2449, 3806, 4365, 6080, 7140, 8164, 1009, 1205, 2308, 3259, 4539, 6064, 7141, 7828, 864, 1205, 2304, 3477, 4346, 5283, 6936, 7933, 1080, 1251, 2512, 3245, 4234, 5298, 6687, 7841, 547, 1205, 3073, 3492, 4267, 6011, 6466, 7429, 938, 1348, 2836, 3974, 5110, 5298, 6700, 7820, 1024, 1222, 2137, 3318, 4335, 5248, 6403, 8145, 1008, 1305, 2137, 3858, 4831, 5863, 6628, 7965, 1016, 1933, 2137, 3581, 4350, 5538, 7060, 8047, 722, 1447, 2585, 3868, 4351, 5616, 6706, 7436, 722, 1213, 2253, 3394, 4371, 6212, 7189, 7638, 639, 1962, 2869, 3356, 4667, 6098, 6933, 7763, 1003, 1740, 2900, 3863, 4920, 5558, 6935, 7571, 1084, 1740, 2488, 3285, 4824, 5298, 6255, 7878, 722, 1389, 2706, 3310, 4834, 5401, 6840, 8084, 839, 1496, 2658, 3870, 4611, 5816, 6422, 8064, 880, 1596, 3119, 4015, 4282, 5308, 6829, 7769, 262, 1498, 2585, 3770, 5012, 5614, 6819, 8144, 1065, 1755, 2629, 3564, 4541, 5588, 6868, 7510, 225, 1982, 2677, 4074, 4352, 6194, 6889, 8096, 195, 1255, 2728, 4147, 4276, 5385, 7023, 7918, 654, 2085, 2926, 3555, 5006, 5503, 6566, 8239, 654, 2111, 3139, 3914, 4829, 5694, 6840, 7492, 317, 1919, 2487, 3726, 4983, 5865, 7152, 7496, 1033, 1847, 2188, 3403, 4484, 5461, 6908, 7899, 584, 1510, 2829, 3767, 4835, 5716, 6249, 7752, 161, 1234, 2725, 3770, 5146, 5742, 6905, 7657, 261, 2072, 2692, 3270, 4823, 6213, 6594, 8097, 668, 1782, 2692, 4152, 5142, 6035, 6770, 7598, 632, 1755, 2581, 3943, 5142, 5532, 7133, 7473, 216, 2024, 3020, 3962, 4225, 5212, 7059, 7962, 1033, 2102, 2860, 3763, 4691, 5749, 6734, 7677, 223, 1562, 2656, 3497, 5129, 5386, 6991, 7899, 986, 1407, 2905, 4166, 4512, 5887, 6884, 8061, 807, 1388, 2842, 3276, 4575, 5513, 6485, 8069, 1101, 1561, 2250, 3276, 4620, 6222, 6632, 7886, 487, 1252, 2267, 4126, 5151, 5706, 7141, 7376, 314, 1252, 2863, 3992, 5091, 6128, 7084, 7973, 975, 1252, 2691, 3756, 4508, 5500, 7099, 8022, 632, 1199, 2137, 3418, 4356, 5321, 7140, 7699, 531, 1503, 2407, 3279, 4742, 5205, 6674, 7933, 333, 1727, 2727, 3777, 4730, 5288, 6962, 7968, 373, 1913, 2425, 3378, 4324, 5313, 6254, 8204, 405, 1370, 2972, 3550, 5061, 5604, 7019, 8144, 256, 1845, 3032, 3771, 5061, 6160, 7099, 7856, 256, 1370, 2181, 3595, 4782, 5850, 6540, 8126, 256, 1937, 2356, 3555, 4870, 5513, 6966, 8222, 878, 1851, 3109, 3176, 4512, 5827, 6671, 7698, 878, 2032, 2925, 3352, 4781, 5630, 7237, 7660, 518, 2097, 2803, 3555, 4912, 6014, 7077, 7477, 256, 2073, 3006, 4113, 4861, 5723, 6734, 7887, 878, 1858, 2167, 3352, 5079, 5296, 7056, 7256, 256, 1933, 2560, 3555, 5159, 5624, 6953, 7427, 948, 1523, 2721, 4127, 4604, 5827, 6726, 7815, 917, 1776, 3090, 3584, 4667, 5970, 6721, 8200, 123, 1982, 2749, 3623, 4564, 5640, 7108, 7542, 802, 1383, 3112, 4091, 4179, 5244, 6426, 7954, 803, 1215, 2415, 3449, 5031, 5570, 6346, 7478, 1045, 1316, 2307, 4066, 4570, 5933, 6782, 7693, 123, 2029, 2437, 3286, 4531, 5347, 6270, 7604, 179, 1682, 2415, 3411, 4848, 5408, 6942, 8081, 802, 1401, 2698, 3356, 4946, 5409, 6391, 8069, 428, 2033, 2428, 3924, 4477, 5256, 6592, 8268, 1030, 1937, 2446, 3208, 4459, 6104, 6240, 7447, 814, 1512, 2376, 3894, 4321, 6135, 7060, 7889, 355, 1350, 2453, 3857, 4358, 5404, 6389, 7857, 91, 1306, 2656, 3839, 4592, 5383, 6678, 7617, 942, 1453, 2432, 3811, 4669, 5418, 6419, 7565, 1049, 1832, 2913, 3687, 4459, 5533, 6572, 7930, 1062, 1510, 2247, 3931, 5154, 5918, 6995, 8048, 802, 1112, 2833, 3298, 5145, 6026, 6403, 7693, 545, 2051, 2210, 3539, 5075, 5222, 6492, 7906, 994, 1794, 2383, 3421, 5070, 5339, 7030, 7995, 761, 1842, 2411, 4161, 5031, 5269, 6746, 7813, 1023, 1842, 2655, 4128, 5031, 6118, 6839, 7959, 234, 1968, 2595, 3623, 4358, 6013, 7043, 7612, 234, 1234, 2563, 3623, 4832, 6067, 6667, 7932, 234, 1664, 2233, 3394, 4733, 5668, 6493, 7435, 702, 1631, 2593, 3623, 5023, 5464, 6905, 8074, 668, 1623, 3060, 3933, 5031, 6220, 6653, 8018, 876, 1889, 2593, 3535, 4759, 5350, 6375, 7505, 992, 1315, 2697, 3292, 4716, 6163, 6501, 8039, 512, 1755, 2792, 4145, 5166, 5360, 7098, 7488, 571, 1467, 2729, 4145, 4966, 5767, 6961, 7768, 779, 1545, 2944, 3803, 4870, 5834, 6650, 8226, 571, 1623, 2833, 3710, 5125, 5844, 7132, 7948, 1088, 1910, 2638, 3193, 4918, 6044, 6740, 8266, 964, 1471, 2244, 4137, 5052, 5668, 6838, 7539, 656, 1645, 2648, 3334, 4205, 5908, 6883, 7709, 996, 1446, 2951, 4127, 4305, 6172, 6339, 7389, 987, 2100, 2869, 3648, 4675, 5352, 6847, 8046, 1047, 1719, 2900, 4056, 4415, 5874, 6793, 8130, 304, 1756, 2766, 4138, 4303, 5677, 7230, 7437, 337, 1945, 3049, 3595, 4681, 5754, 6515, 8195, 984, 1175, 2833, 3226, 5159, 5360, 7168, 7852, 510, 1874, 2586, 3908, 4387, 6051, 6467, 7806, 186, 1874, 2989, 3945, 4828, 5901, 6972, 8260, 186, 1508, 2989, 4174, 4782, 6025, 7004, 8083, 935, 1600, 2806, 3201, 5038, 5635, 6996, 8066, 488, 1528, 2806, 3893, 4624, 6139, 6786, 7949, 935, 2017, 2164, 3825, 4287, 6139, 7006, 7806, 935, 1648, 2989, 3440, 5159, 6139, 6996, 8223, 186, 1528, 2746, 3645, 4287, 5635, 7111, 8260, 915, 1528, 2833, 3595, 4387, 6103, 7218, 7806, 915, 1622, 2914, 3825, 4287, 6139, 6612, 7766, 915, 1622, 2164, 3595, 4870, 6139, 7077, 7876, 555, 1684, 3064, 4153, 4704, 6163, 6688, 7723, 4, 2 ]

[ 1, 28, 17, 66, 5, 63, 44, 30, 48, 53, 30, 5, 31, 16, 5, 41, 63, 13, 42, 53, 33, 54, 66, 5, 17, 75, 5, 57, 54, 52, 47, 5, 76, 17, 54, 5, 44, 53, 62, 20, 63, 66, 16, 54, 66, 5, 62, 39, 62, 35, 5, 5, 3, 142, 1622, 2914, 3891, 4704, 6211, 7226, 8147, 488, 2111, 3065, 3893, 4624, 6186, 7120, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 356, 1681, 3065, 3188, 4470, 5210, 7237, 7542, 335, 1753, 2661, 3662, 4818, 5810, 6727, 7275, 761, 1653, 3080, 3314, 4823, 5944, 6887, 7635, 893, 1141, 2912, 3413, 4541, 5366, 7152, 7503, 512, 1139, 2291, 3795, 5085, 5899, 7086, 7557, 955, 1777, 2293, 3866, 4822, 6131, 6709, 7607, 967, 1175, 2947, 3982, 4551, 6146, 6604, 7260, 572, 2079, 2340, 3550, 4470, 5810, 6998, 7716, 448, 1797, 2703, 3916, 5103, 5749, 6850, 7429, 802, 1141, 2807, 3949, 4647, 5608, 6840, 8034, 938, 1333, 2384, 3687, 4900, 5732, 6980, 7873, 938, 1742, 2564, 3905, 4427, 5250, 7213, 8225, 862, 1755, 2629, 4021, 4297, 5449, 6889, 7693, 938, 1652, 2542, 4038, 5151, 5580, 6442, 8225, 613, 1164, 2311, 3424, 4676, 6015, 6414, 7920, 757, 1674, 2649, 3941, 4807, 5413, 6334, 8240, 356, 1266, 2661, 4120, 4775, 5840, 6607, 7873, 613, 1948, 2950, 3886, 4918, 5474, 6551, 7913, 1097, 1675, 2865, 3819, 4822, 5289, 6579, 7816, 512, 1809, 3007, 3314, 4993, 5385, 7077, 8126, 308, 1869, 3006, 3914, 4822, 6195, 6302, 8209, 955, 1585, 2924, 4166, 4881, 5325, 7006, 7846, 276, 1523, 2659, 3994, 5192, 5993, 7229, 7420, 582, 1233, 2432, 3324, 4955, 5276, 6678, 8205, 986, 1220, 2142, 3372, 5107, 5899, 6302, 8211, 766, 1277, 2678, 4073, 5022, 5863, 7002, 7973, 487, 1206, 2515, 3623, 5122, 5251, 6820, 7442, 545, 1178, 3080, 3904, 5124, 5257, 6769, 7677, 582, 1178, 2710, 3245, 4392, 5215, 6563, 7997, 722, 1608, 3080, 3410, 4855, 5656, 6776, 8099, 986, 1269, 2910, 3880, 4601, 6010, 6806, 7510, 545, 2019, 2282, 3532, 4586, 6142, 6269, 8111, 545, 1498, 2794, 3205, 4421, 5656, 6768, 8017, 582, 1236, 2453, 4120, 4934, 5843, 6449, 7707, 731, 1177, 2432, 3762, 4770, 5656, 6225, 7620, 391, 1299, 2661, 3928, 4389, 5540, 6579, 7936, 767, 1874, 3080, 3648, 4781, 5938, 7237, 7948, 408, 2008, 2989, 4120, 4715, 5461, 7069, 8069, 204, 1633, 2940, 4017, 4576, 5660, 6870, 7677, 149, 1633, 2925, 3376, 4713, 5407, 6302, 7806, 391, 1356, 2389, 3416, 4902, 5589, 7069, 7463, 767, 1705, 3006, 4083, 4536, 6146, 6337, 8079, 684, 1992, 2429, 4085, 4867, 5550, 6540, 7557, 1064, 1320, 2254, 3991, 5088, 5567, 6255, 7712, 1003, 1828, 3040, 3232, 4529, 5893, 6755, 7288, 556, 1596, 3040, 3965, 4669, 5970, 6687, 7918, 803, 1346, 3011, 3457, 5006, 5886, 6781, 7726, 1047, 2061, 3038, 3960, 5094, 5354, 6538, 7867, 256, 2008, 2669, 3516, 4863, 5981, 6668, 7737, 518, 1750, 2989, 4145, 5153, 5378, 6607, 7297, 899, 2030, 3006, 3687, 4413, 6205, 6740, 7806, 440, 2091, 2970, 3206, 5111, 5730, 6517, 7965, 899, 1108, 2940, 3886, 5083, 5565, 7058, 7876, 878, 1992, 2992, 4153, 4398, 5650, 7221, 7794, 256, 1490, 2941, 3873, 4715, 5687, 6579, 7826, 256, 1175, 2593, 4085, 4863, 5515, 7220, 7485, 518, 2098, 2880, 4145, 5157, 5730, 6443, 8130, 568, 2088, 2925, 4113, 4493, 5385, 7222, 8061, 878, 1304, 2340, 3391, 5080, 6110, 7120, 7563, 617, 1490, 2946, 3803, 4877, 6182, 6688, 8185, 942, 2065, 2340, 3994, 4626, 6222, 7140, 7996, 858, 1737, 2581, 4075, 4890, 5637, 6662, 7311, 814, 1324, 2576, 3887, 5098, 5396, 6891, 7924, 802, 1348, 2872, 3895, 5113, 6123, 6605, 7437, 761, 1184, 2866, 3454, 4428, 5603, 6881, 7579, 326, 1368, 2224, 3512, 5146, 5375, 6698, 7603, 893, 2118, 2676, 3197, 4364, 6126, 7138, 7410, 868, 1977, 2725, 3936, 4218, 6151, 6748, 8192, 160, 1282, 3091, 3776, 4268, 6005, 7048, 7794, 390, 1758, 2730, 3352, 4867, 6156, 6668, 8078, 390, 1665, 3110, 3516, 5139, 5363, 7198, 7876, 288, 1238, 2956, 4097, 5106, 5767, 6901, 8179, 211, 2063, 2586, 3931, 5101, 6205, 6774, 8266, 610, 1306, 2610, 4074, 4822, 6131, 6972, 8252, 887, 1797, 3101, 3410, 4282, 5694, 7010, 7508, 887, 1577, 2794, 3671, 4667, 6181, 6755, 7386, 160, 1999, 2655, 4085, 4191, 5899, 7008, 8185, 948, 2000, 2710, 4026, 4592, 5944, 6301, 7490, 266, 1509, 2758, 4005, 4822, 5918, 6308, 7965, 981, 1171, 3130, 3669, 4828, 5440, 7230, 7693, 1025, 2111, 2775, 3811, 4592, 6073, 7095, 8231, 684, 1402, 2783, 3891, 4297, 5630, 6515, 8099, 1056, 1773, 2167, 3188, 4622, 6144, 7162, 7717, 1056, 1998, 2436, 3908, 4512, 5824, 7084, 7312, 308, 1467, 2803, 3472, 5183, 5493, 6996, 7811, 952, 1965, 2309, 3922, 4859, 5672, 6386, 7291, 981, 1421, 2163, 3217, 5188, 6097, 6325, 7822, 504, 1557, 2439, 4127, 4679, 5926, 6798, 7496, 643, 1490, 2963, 3540, 4428, 5479, 6614, 7791, 1081, 1913, 3038, 3960, 4856, 5475, 6657, 7776, 288, 1370, 2998, 4110, 4390, 5761, 7218, 8185, 756, 1370, 3056, 3488, 5083, 5706, 7095, 7898, 317, 1324, 2993, 3979, 4670, 6146, 6392, 7386, 1102, 1871, 3108, 4105, 4225, 6067, 7025, 7965, 1057, 1727, 2709, 3740, 4805, 5313, 6704, 8123, 1022, 1727, 2873, 3635, 4379, 6031, 7198, 7312, 110, 2001, 2486, 3325, 4991, 5966, 7045, 8151, 110, 1708, 2589, 3536, 5003, 6114, 6464, 8087, 603, 1469, 2128, 3894, 4981, 5889, 6800, 7718, 150, 1974, 2128, 3685, 4310, 6141, 6709, 8037, 1025, 1974, 2985, 3540, 5061, 6156, 6304, 7264, 940, 1708, 3135, 4093, 4781, 5796, 6936, 8213, 1090, 1856, 2591, 3536, 4845, 6030, 6408, 7972, 1090, 1827, 2591, 3201, 4895, 6085, 6935, 8126, 678, 1721, 3144, 3488, 4849, 5694, 7058, 8126, 504, 1510, 2183, 3975, 4584, 6191, 7001, 7957, 986, 1763, 2918, 3995, 5011, 5844, 6736, 7702, 504, 1550, 3053, 3909, 5052, 5981, 7135, 8117, 643, 1708, 2918, 4103, 5169, 5844, 6377, 7869, 678, 1721, 3098, 3732, 5122, 6154, 6898, 8267, 390, 1700, 2661, 3710, 4872, 6014, 7111, 8261, 887, 1676, 2352, 4171, 5104, 5942, 7111, 7706, 390, 1620, 3143, 3685, 4533, 5614, 7023, 7768, 959, 1809, 3038, 3401, 5157, 5305, 6809, 8107, 211, 1700, 2143, 3511, 4834, 5684, 6991, 7906, 804, 1705, 3007, 3488, 5060, 5968, 6776, 7919, 512, 1620, 2754, 4108, 5083, 6085, 6996, 7631, 308, 2046, 2493, 3945, 4856, 6129, 6630, 7806, 1090, 2035, 2895, 3220, 4630, 5824, 6830, 7658, 887, 2035, 2444, 4041, 4872, 5705, 6734, 7494, 150, 1271, 3003, 3681, 4328, 5869, 6272, 8261, 803, 1469, 2312, 4086, 4845, 5438, 7065, 8132, 1029, 1199, 2592, 3808, 5139, 6118, 6243, 7959, 893, 1682, 2165, 3233, 5074, 5323, 6858, 8254, 887, 1510, 2905, 3679, 4766, 5485, 6949, 7519, 887, 1797, 3101, 3870, 4181, 6120, 6710, 8193, 610, 1692, 2357, 4151, 5019, 6006, 7084, 7876, 1025, 1561, 2868, 4168, 5106, 6156, 6688, 7992, 725, 1951, 2422, 3793, 4678, 6130, 7172, 7962, 986, 1209, 2453, 3239, 4952, 5800, 6802, 7757, 487, 1562, 2316, 4035, 4338, 5767, 6816, 7873, 643, 1164, 2931, 3987, 4350, 5557, 6540, 7948, 150, 1280, 2918, 3543, 4346, 5745, 7075, 7496, 610, 1797, 2293, 3873, 4305, 5661, 7012, 7822, 304, 1948, 2677, 3487, 4993, 5586, 6809, 8261, 216, 2121, 2291, 3516, 4592, 5678, 6515, 8066, 211, 1620, 2924, 3962, 4583, 5684, 6752, 7264, 211, 2084, 2167, 3994, 5166, 5767, 7207, 7631, 956, 1623, 2949, 3990, 5159, 5241, 7201, 7641, 914, 2068, 3135, 3710, 4822, 5340, 7006, 7887, 804, 1750, 2803, 4108, 4980, 5883, 7149, 8267, 620, 1817, 2167, 3420, 4860, 6051, 6426, 8095, 171, 1804, 2880, 4171, 5080, 5661, 6338, 7664, 308, 1981, 3110, 3595, 5129, 5241, 6734, 7723, 211, 1981, 2326, 3866, 4867, 5968, 7157, 7768, 150, 2035, 2549, 3345, 4918, 5509, 6681, 7706, 876, 1469, 2357, 4050, 5121, 5447, 7129, 8088, 1016, 1335, 2189, 3452, 4706, 5821, 6881, 7680, 961, 1825, 3090, 3807, 4542, 6141, 6930, 7962, 373, 1912, 2679, 3931, 4781, 5661, 7129, 7856, 961, 1248, 2425, 3778, 5158, 5601, 6430, 8085, 614, 1106, 2977, 3963, 4419, 5571, 6735, 7832, 1035, 2001, 2349, 3950, 4759, 5990, 6525, 7453, 776, 1141, 3101, 3407, 4191, 5869, 6732, 7720, 956, 1581, 3110, 3188, 5183, 6014, 7239, 7782, 427, 2041, 2340, 3516, 4762, 6103, 7220, 8185, 956, 1791, 2946, 3983, 5159, 6175, 7239, 8083, 510, 1623, 3043, 3671, 4622, 6103, 6979, 7256, 512, 1773, 2781, 4145, 5058, 5968, 7239, 7806, 401, 1797, 2838, 3226, 5104, 5705, 6979, 8267, 216, 1668, 3144, 4097, 5038, 6085, 6988, 7664, 731, 1120, 2340, 3776, 5159, 5832, 7132, 7706, 304, 1847, 2924, 4145, 5061, 6211, 7239, 8236, 955, 1778, 2678, 3918, 5129, 5678, 6648, 7908, 401, 1562, 2492, 3740, 4179, 5678, 6884, 7764, 390, 1763, 2542, 4097, 5120, 5678, 6776, 7887, 956, 1945, 3110, 3188, 5165, 6211, 7239, 8237, 914, 1945, 3043, 3982, 4912, 6103, 6979, 8260, 186, 2000, 2960, 3825, 4630, 5210, 7201, 7887, 818, 1998, 2164, 3710, 4888, 5241, 7084, 8083, 1097, 2000, 3135, 4174, 4551, 5612, 6709, 8196, 1097, 2017, 2991, 4174, 5038, 5832, 6794, 8223, 956, 1869, 3117, 3982, 5104, 5241, 7124, 8237, 139, 1707, 2818, 3446, 5024, 5948, 6472, 8150, 955, 1467, 2656, 3866, 5060, 5385, 6917, 7906, 752, 1623, 2355, 3201, 4882, 5631, 6414, 7261, 955, 1782, 2355, 3989, 4279, 6070, 6272, 7248, 487, 1935, 2355, 3487, 5165, 6089, 6265, 7741, 487, 1777, 2492, 4037, 5138, 5262, 6535, 8076, 807, 2117, 2872, 3356, 4525, 5250, 7198, 7693, 1025, 1808, 2946, 4072, 4218, 5797, 6995, 7959, 1025, 1550, 2330, 3515, 4364, 5462, 7017, 7693, 1056, 2036, 2567, 3873, 4213, 5438, 7043, 7717, 1099, 1933, 3021, 4097, 4489, 6103, 7149, 7421, 1097, 1933, 3021, 3516, 5061, 5573, 7207, 7631, 1099, 2000, 2991, 3945, 4622, 6129, 6988, 7421, 488, 2041, 2838, 4174, 4551, 6129, 6972, 7949, 1097, 1620, 2947, 3945, 4622, 6129, 6786, 7766, 1099, 1218, 3135, 3886, 4583, 5761, 7132, 7557, 421, 1119, 2991, 3994, 4636, 6120, 6741, 8250, 1097, 2073, 2729, 4006, 5157, 5210, 6584, 8195, 776, 2001, 2868, 3581, 4762, 5543, 6267, 7402, 277, 1141, 2941, 3472, 4736, 5432, 6678, 7456, 692, 2114, 2905, 3469, 4470, 5734, 6651, 8094, 1038, 1512, 2378, 3778, 4626, 5347, 7115, 7516, 692, 1758, 2951, 4152, 4404, 6106, 6973, 7250, 265, 1742, 2355, 3181, 4945, 5643, 7148, 8156, 265, 1742, 2990, 3366, 4485, 5938, 6348, 8249, 371, 1510, 2235, 3764, 4391, 5228, 6850, 8015, 331, 1496, 2243, 3252, 4577, 5480, 6883, 7426, 981, 1653, 2866, 3399, 4902, 6088, 6348, 7634, 373, 1139, 2951, 3656, 4344, 6025, 7161, 7828, 833, 1653, 2710, 3740, 5050, 5202, 6726, 7869, 552, 1248, 2987, 3990, 4513, 6135, 6704, 8103, 935, 2111, 2781, 3866, 4191, 6205, 6891, 7948, 186, 2032, 2899, 3803, 5061, 6085, 6809, 8195, 935, 1750, 2391, 4108, 4624, 6085, 6774, 8076, 935, 2017, 2586, 3188, 4980, 5630, 6467, 7948, 935, 2017, 2746, 3891, 4798, 5241, 7124, 8223, 935, 2065, 2164, 3367, 5129, 5661, 6752, 8196, 818, 2017, 2781, 3893, 4624, 6186, 7124, 8260, 488, 1528, 2914, 3825, 4888, 5635, 7124, 8147, 488, 1528, 2164, 3645, 4624, 6139, 6794, 8196, 488, 1528, 2914, 3825, 4888, 6139, 7124, 8196, 488, 1528, 2914, 3893, 4888, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8196, 488, 1648, 2164, 3893, 4624, 6186, 7077, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 30, 63, 33, 64, 66, 5, 44, 54, 5, 28, 52, 14, 51, 5, 5, 3, 844, 1268, 3080, 3904, 4592, 5400, 6870, 7311, 568, 1139, 2750, 3955, 4209, 5951, 7086, 8262, 541, 1403, 2629, 3194, 4321, 5215, 7021, 7383, 160, 1141, 3005, 3865, 4437, 5250, 7086, 7571, 1071, 1883, 2542, 3165, 4882, 5918, 6541, 7288, 1033, 1686, 2905, 3363, 4242, 6141, 6339, 7574, 113, 1704, 2891, 3952, 5111, 5444, 6698, 8176, 803, 1561, 2848, 3358, 4364, 6053, 6670, 8040, 827, 1609, 2771, 3570, 4938, 5645, 7083, 7634, 759, 1771, 2487, 3747, 4636, 5777, 6798, 7437, 952, 1349, 2321, 3742, 4435, 6118, 6275, 8254, 752, 1562, 2839, 3295, 4546, 5305, 7160, 7959, 401, 1520, 2727, 3929, 4757, 5686, 6646, 7605, 390, 2065, 2771, 4150, 4870, 6032, 6257, 8266, 183, 1906, 3032, 3879, 4604, 5515, 6265, 8098, 225, 1851, 2542, 3570, 5167, 5366, 6895, 7664, 654, 1938, 2880, 4125, 4622, 6189, 6380, 8266, 654, 1286, 2316, 3934, 5157, 5650, 6584, 7677, 654, 1750, 2729, 3394, 4644, 6189, 6840, 7664, 240, 2127, 2316, 3359, 4421, 5678, 6515, 7707, 228, 1750, 3147, 4113, 4918, 5241, 7224, 8179, 789, 2127, 2316, 4078, 5168, 5438, 7006, 7260, 419, 1851, 2729, 4113, 4704, 6149, 7226, 8237, 915, 2017, 2806, 3825, 4555, 5241, 7226, 7716, 419, 1851, 2806, 3914, 4798, 5830, 7226, 7716, 518, 1750, 2309, 3277, 4700, 6149, 7006, 8083, 183, 1851, 2210, 3623, 5135, 5942, 6291, 7732, 512, 1684, 2957, 3987, 4859, 5548, 7140, 8083, 138, 1794, 3149, 3794, 5111, 5890, 7049, 7905, 862, 1331, 3097, 3455, 4595, 5515, 6840, 7873, 1023, 1935, 2527, 3915, 4701, 6125, 7229, 7904, 731, 1363, 2282, 3882, 4573, 6087, 6444, 7986, 223, 1763, 2750, 4082, 4609, 5902, 6393, 8245, 1033, 1402, 2142, 3488, 5084, 5300, 6507, 7542, 271, 1363, 2693, 3449, 5134, 5780, 6832, 7842, 318, 2081, 2727, 3605, 5075, 5914, 6849, 7495, 1033, 1543, 2313, 3316, 5084, 5550, 6477, 7673, 1025, 1797, 3007, 3605, 4867, 5901, 6414, 8237, 940, 2079, 2783, 3975, 4287, 6128, 6551, 7831, 390, 2079, 2258, 3645, 4912, 5705, 6898, 7806, 804, 1881, 3022, 3226, 4215, 5694, 6734, 8237, 986, 1333, 3141, 4124, 5053, 6111, 6458, 8098, 942, 1937, 2556, 3452, 5196, 6176, 6849, 7458, 887, 1490, 2974, 3960, 5192, 5754, 6478, 8107, 1016, 2036, 3092, 4067, 4516, 5726, 7219, 8226, 344, 2050, 2670, 3582, 4734, 5370, 6231, 8266, 492, 1603, 3034, 3755, 4739, 5715, 6838, 7254, 655, 2008, 2173, 3663, 4365, 5696, 7227, 8169, 810, 1609, 2213, 4009, 4419, 5205, 6984, 7924, 880, 1910, 2758, 3469, 4854, 5909, 6413, 7597, 620, 1489, 2751, 3922, 4290, 5662, 7115, 7883, 952, 2065, 2580, 3370, 5072, 5553, 6987, 7970, 242, 1397, 2163, 3399, 4818, 5840, 6454, 8152, 981, 1623, 2565, 3284, 4902, 6002, 6901, 7638, 603, 1704, 2487, 3436, 4707, 6035, 6978, 7825, 103, 1684, 2304, 3770, 4931, 5558, 6736, 8266, 103, 2052, 3098, 3741, 4852, 5514, 7014, 7476, 1097, 1752, 3021, 3676, 4374, 6129, 6979, 8083, 945, 2032, 2754, 4006, 4856, 5219, 7023, 7870, 186, 2017, 2781, 4071, 4888, 6195, 6709, 8267, 935, 1622, 3109, 3710, 5104, 5219, 7077, 8195, 935, 2017, 2164, 3710, 5080, 5630, 6588, 7723, 935, 1791, 3110, 4166, 4583, 6195, 7220, 8066, 397, 1198, 2976, 3284, 5193, 5621, 6272, 7918, 859, 2127, 3095, 3886, 4981, 6195, 6889, 7641, 859, 1147, 2503, 3566, 4181, 6195, 7207, 7260, 555, 1286, 3144, 3407, 4512, 6137, 7132, 8147, 488, 1147, 2746, 4071, 4704, 5635, 6584, 7631, 860, 1528, 2164, 3803, 4583, 6081, 7077, 8223, 860, 1528, 2806, 3825, 4624, 6139, 6589, 8147, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 488, 1622, 3065, 3893, 4798, 6139, 6752, 7766, 915, 1684, 2164, 3914, 5157, 5241, 7006, 8080, 555, 1750, 2833, 4071, 4798, 6137, 7207, 7723, 915, 1684, 2164, 3914, 4798, 6186, 7226, 7766, 555, 1684, 2858, 4166, 4622, 5635, 7120, 7766, 555, 1648, 3021, 3566, 4181, 5635, 7100, 8126, 555, 1468, 2833, 3825, 4624, 5767, 6677, 8080, 555, 1623, 2833, 3391, 4387, 5550, 7120, 8080, 555, 1648, 2970, 3391, 4870, 5635, 7120, 8080, 4, 2 ]

[ 1, 16, 54, 66, 45, 52, 5, 62, 36, 64, 47, 16, 64, 5, 43, 14, 30, 5, 42, 63, 57, 54, 5, 66, 73, 5, 28, 48, 5, 16, 5, 43, 14, 54, 64, 16, 53, 5, 77, 73, 67, 5, 5, 3, 201, 2073, 2806, 3990, 4704, 5901, 6688, 8236, 337, 1648, 2957, 4171, 4512, 5892, 6889, 8236, 304, 1474, 2791, 3578, 5144, 6086, 6967, 7895, 803, 1407, 2345, 4016, 4652, 5950, 6560, 8181, 800, 1346, 2521, 3332, 4759, 5205, 6663, 7673, 683, 1934, 2642, 3357, 4582, 5511, 6448, 7667, 887, 1435, 2877, 3880, 4368, 5903, 7043, 8034, 1071, 1721, 2429, 3396, 4660, 5746, 6687, 7778, 160, 1306, 3033, 3578, 4784, 6022, 7100, 8017, 160, 1771, 2730, 3826, 5145, 5548, 6972, 7799, 304, 1825, 3098, 3488, 5096, 5899, 6871, 8209, 804, 1994, 2984, 4018, 4912, 6131, 6515, 7421, 1097, 2041, 2781, 4150, 4447, 6211, 7120, 8076, 899, 1964, 3133, 3710, 4536, 5963, 7157, 8195, 195, 1791, 2847, 4111, 5125, 5532, 6827, 8227, 195, 1905, 2554, 3879, 5115, 5923, 6870, 7939, 568, 1756, 2740, 3183, 5097, 5536, 7006, 8126, 405, 1550, 2856, 3782, 4872, 5677, 7207, 7720, 223, 1773, 2315, 3165, 5060, 5844, 7111, 8205, 1023, 1286, 2292, 3941, 4918, 6111, 7222, 7873, 1101, 1349, 2649, 3770, 4751, 5224, 6960, 8129, 802, 1205, 2343, 3770, 5117, 5970, 6897, 8000, 803, 1562, 2692, 3245, 4931, 5973, 6574, 8093, 386, 1828, 3050, 3865, 4571, 5422, 7002, 7966, 504, 2027, 2173, 3417, 5114, 5536, 6923, 7438, 643, 1759, 3040, 3986, 5129, 5417, 6438, 7538, 770, 1407, 3040, 4106, 4830, 5827, 7118, 7937, 1029, 2061, 2495, 3169, 4741, 6066, 6850, 8189, 887, 2061, 2547, 3964, 4911, 5203, 6239, 7712, 504, 1183, 3001, 3855, 4459, 5378, 7059, 7712, 643, 2035, 2659, 3573, 4429, 5677, 6524, 7807, 684, 1995, 2356, 3961, 4872, 5514, 6991, 8061, 956, 1804, 2396, 3645, 5060, 6084, 6996, 8147, 1099, 2068, 3007, 3990, 4287, 6182, 7168, 7720, 1099, 1847, 2167, 4150, 4366, 6175, 6688, 8267, 510, 2000, 2803, 4114, 4980, 5832, 7006, 8083, 956, 1998, 3117, 3710, 5139, 5635, 7084, 8196, 617, 2000, 2730, 4026, 4374, 5892, 7201, 8066, 811, 1736, 2217, 3749, 5076, 5648, 6291, 8060, 579, 1941, 2271, 3916, 4830, 5565, 6894, 7366, 153, 1381, 2880, 3550, 5138, 5296, 6719, 7964, 948, 1981, 2777, 3314, 4446, 5723, 6574, 8061, 658, 2059, 2789, 3319, 4572, 5443, 6601, 7574, 458, 1598, 2440, 3770, 4419, 5331, 6819, 8235, 458, 1758, 2794, 3399, 4580, 5619, 6269, 7255, 876, 1382, 2378, 3861, 4358, 5239, 6431, 7561, 876, 1668, 2987, 3256, 5036, 6169, 6625, 7620, 1024, 1510, 2652, 3316, 4346, 6037, 6875, 7626, 987, 1234, 2562, 3550, 4954, 5598, 6254, 7718, 225, 1675, 2718, 3764, 4297, 5512, 6726, 7872, 225, 2046, 2992, 3982, 4834, 5801, 6966, 8054, 576, 1846, 2775, 4015, 4923, 5514, 6834, 7621, 518, 1749, 2356, 3175, 4297, 5580, 7132, 7473, 518, 2078, 2287, 3407, 4555, 6205, 7132, 7806, 195, 1326, 3064, 4006, 4459, 5456, 7006, 7865, 228, 1851, 2833, 3407, 4459, 5892, 6515, 8132, 228, 1851, 2370, 3945, 4870, 6119, 7120, 8130, 228, 2111, 2593, 3955, 4360, 5296, 7002, 7948, 779, 2127, 2454, 3726, 4611, 5624, 6437, 7509, 149, 1281, 2268, 4026, 4896, 5614, 7024, 7773, 487, 1905, 3073, 3963, 4946, 5443, 6383, 7959, 545, 1768, 2777, 3417, 4345, 5591, 6680, 7262, 487, 1234, 2655, 3417, 4982, 6069, 6944, 7799, 668, 1692, 2830, 3475, 4682, 5584, 6576, 7830, 761, 1287, 2728, 3329, 4238, 5339, 6884, 8051, 918, 2047, 2148, 3368, 5097, 6022, 6480, 7827, 662, 1606, 2732, 4015, 4985, 5990, 6497, 8243, 761, 1332, 2225, 3812, 4901, 6094, 6371, 7770, 893, 1332, 3001, 3276, 4934, 5821, 6802, 7336, 923, 1306, 2244, 3726, 4298, 5660, 6486, 7602, 715, 1581, 2587, 3595, 4982, 6094, 6338, 8049, 654, 1820, 2659, 3485, 4321, 5204, 6821, 8254, 654, 2106, 2803, 3555, 4304, 5760, 7207, 7677, 195, 1363, 2659, 3681, 4944, 5586, 6612, 7591, 195, 1750, 2316, 3376, 4912, 5678, 7150, 7641, 228, 2111, 2316, 4125, 5061, 6085, 6752, 7627, 256, 1869, 2659, 4145, 5135, 6222, 6579, 7955, 967, 1869, 3133, 3361, 4555, 5350, 6466, 7717, 223, 1961, 2934, 4026, 5052, 5624, 6671, 7585, 612, 1286, 2692, 3880, 5070, 5354, 7225, 7932, 800, 1971, 2271, 3814, 4319, 5334, 6354, 8200, 154, 1971, 2239, 3609, 4998, 5334, 6545, 7656, 545, 1479, 2380, 3398, 5045, 6002, 6823, 7286, 684, 1350, 2839, 3951, 4691, 6018, 6302, 8066, 304, 1286, 3008, 3795, 4179, 6129, 6584, 8185, 804, 1856, 2839, 3671, 4867, 5765, 6613, 7263, 356, 1139, 3112, 3711, 5095, 5706, 7037, 7563, 308, 2046, 2729, 3277, 4981, 5761, 6849, 7806, 510, 2068, 2754, 3282, 5073, 5586, 6786, 8267, 512, 1750, 3043, 3982, 4366, 6085, 6972, 8179, 914, 1933, 2947, 3361, 4822, 5705, 7168, 7717, 373, 2041, 2860, 3226, 4674, 6008, 6401, 8036, 776, 1937, 2266, 4124, 5041, 5730, 6229, 8240, 223, 1332, 2750, 3196, 4828, 5904, 7058, 8132, 993, 1265, 2664, 3392, 5135, 5425, 6466, 7303, 884, 1682, 2654, 3870, 4942, 5810, 6828, 7309, 104, 1682, 2589, 3970, 4810, 5804, 6689, 8203, 802, 1635, 2511, 4093, 4911, 6213, 7214, 8036, 761, 1742, 2648, 3183, 4796, 5646, 6684, 7261, 803, 1865, 2503, 3286, 4547, 6083, 6733, 7508, 736, 1582, 2912, 3193, 4332, 5640, 6865, 7607, 536, 1205, 2789, 3981, 4404, 5477, 6685, 7620, 887, 1499, 2612, 3948, 4546, 5363, 6360, 8016, 150, 2070, 2791, 3760, 4748, 6011, 6338, 8263, 150, 1818, 2129, 3563, 4678, 5833, 7143, 7727, 1057, 1670, 3078, 3752, 4709, 5535, 7234, 7736, 1025, 1825, 2536, 3488, 4546, 5369, 6518, 7991, 1025, 1370, 2320, 3869, 4861, 5942, 7028, 8105, 1025, 1833, 3049, 3811, 4533, 5209, 6243, 7846, 1025, 1865, 2783, 3201, 4780, 5685, 6802, 7837, 610, 1797, 2708, 4027, 5088, 5942, 7023, 7962, 390, 1455, 3053, 4151, 4980, 6007, 7111, 7706, 1071, 1932, 2925, 3932, 4622, 5761, 6668, 7421, 1025, 2125, 2975, 4166, 4792, 5378, 7207, 7876, 308, 2046, 2352, 3188, 5183, 5630, 7058, 8179, 804, 1700, 2960, 4108, 5038, 5630, 6972, 8237, 541, 1695, 2709, 3478, 4298, 5259, 7028, 7816, 225, 1796, 2992, 3543, 4318, 5433, 6982, 7355, 1033, 2000, 2818, 3391, 4542, 5584, 6535, 8267, 993, 1459, 2552, 4003, 4860, 6006, 6847, 7367, 826, 1531, 2288, 3327, 5018, 5461, 6476, 7277, 778, 1966, 2163, 3870, 4372, 6084, 6269, 7968, 1090, 2035, 3092, 3669, 4530, 5873, 6891, 8248, 304, 2063, 3064, 4027, 5165, 5630, 7162, 7421, 804, 2046, 3110, 3710, 5166, 5661, 7111, 7948, 308, 1791, 3095, 3982, 5166, 5832, 7111, 8209, 684, 1399, 3043, 4174, 4551, 6085, 6979, 7485, 804, 1847, 3135, 4068, 5104, 5661, 6996, 8237, 512, 2041, 3095, 3982, 5080, 5635, 7077, 7485, 211, 1932, 2957, 4108, 5139, 5705, 6972, 8179, 304, 2063, 2924, 3226, 5165, 5241, 7077, 7260, 390, 1581, 3095, 4068, 5104, 5219, 7124, 8066, 115, 1601, 2560, 3961, 4536, 5904, 6715, 7838, 807, 1827, 2987, 3955, 4460, 5269, 6251, 8011, 807, 1635, 2210, 4080, 4218, 5584, 7229, 8017, 807, 1458, 2661, 4137, 4538, 6181, 6768, 7401, 807, 2053, 2453, 3417, 4777, 5864, 7100, 7881, 807, 1721, 2946, 4096, 4298, 5802, 6632, 7384, 807, 1140, 2166, 3939, 5122, 6140, 6240, 7893, 807, 1858, 2166, 3770, 4450, 6119, 6763, 7547, 487, 1858, 2453, 3869, 4459, 5286, 6734, 7749, 986, 1700, 3101, 3770, 4948, 6180, 6705, 8254, 850, 1808, 2355, 3695, 5096, 5706, 6813, 7918, 881, 1881, 2309, 3943, 4415, 5751, 6991, 7542, 807, 1858, 2355, 3159, 4978, 6175, 6655, 7398, 986, 1924, 2346, 3695, 4716, 5666, 6443, 8048, 545, 1653, 2136, 3551, 5135, 5981, 6224, 8125, 987, 1692, 2346, 3309, 4969, 5740, 6550, 7777, 807, 1858, 2355, 3159, 4978, 5871, 6772, 7868, 986, 1858, 2453, 3770, 4945, 6154, 6919, 7793, 1059, 1942, 2346, 3771, 5026, 5468, 6625, 7490, 613, 1397, 2464, 3300, 4212, 6002, 6772, 7704, 487, 1808, 2346, 4010, 4868, 5648, 6911, 7790, 986, 1140, 2601, 3770, 5054, 5810, 6705, 8150, 886, 1942, 2346, 4098, 4321, 6122, 6535, 8086, 397, 1734, 2945, 4038, 4236, 5656, 6651, 7678, 487, 1719, 2593, 3616, 4606, 5662, 6663, 7879, 759, 1719, 2165, 3208, 4690, 5797, 6995, 7524, 390, 2034, 2247, 3206, 5188, 5276, 6779, 7311, 475, 1467, 3008, 3752, 4923, 5797, 6982, 7865, 510, 2097, 2945, 4145, 4512, 6182, 6709, 7906, 859, 1218, 2729, 3908, 4912, 5210, 7207, 7476, 935, 2017, 3021, 3710, 4822, 5241, 7201, 7631, 555, 1623, 3008, 3803, 4782, 5767, 6979, 7557, 555, 1684, 2946, 4114, 4387, 6139, 7239, 7876, 555, 1684, 2970, 3825, 5060, 5811, 7207, 8185, 555, 2111, 2858, 3550, 4890, 5963, 7069, 8076, 488, 2065, 3065, 3825, 4512, 6139, 6584, 7664, 142, 1528, 2914, 3825, 4624, 6186, 7124, 8237, 142, 1528, 2806, 3825, 4624, 6186, 7226, 8223, 186, 2065, 2806, 3893, 4798, 5612, 7006, 8080, 555, 2065, 3065, 3803, 4555, 5241, 7006, 8262, 789, 2065, 2316, 3993, 4398, 5534, 6752, 8083, 899, 1961, 2593, 3578, 4737, 6087, 6612, 8253, 893, 1346, 2633, 3826, 4437, 5473, 7156, 7837, 683, 1183, 2363, 3214, 4492, 6053, 7131, 7984, 867, 1183, 2307, 3567, 4755, 6136, 7204, 7966, 1070, 1697, 3040, 3244, 4814, 6086, 6494, 8098, 775, 1346, 2779, 3601, 4949, 6002, 7002, 7686, 331, 1873, 2182, 3944, 5023, 5787, 7186, 8222, 639, 1346, 2598, 3366, 4723, 5347, 6436, 7542, 987, 2115, 2559, 3394, 4437, 5350, 6909, 8030, 579, 1140, 2748, 3904, 4918, 5866, 6522, 7939, 707, 1346, 2923, 3749, 4449, 5941, 6671, 7646, 1015, 2020, 3147, 3648, 4221, 5436, 6302, 7732, 871, 2034, 2959, 3737, 4746, 6163, 6671, 7476, 844, 2034, 2953, 3348, 5188, 6215, 6724, 7795, 113, 2034, 2355, 3261, 4945, 5850, 6998, 8173, 1052, 1946, 2625, 3770, 4641, 5359, 6224, 7822, 573, 1349, 2654, 3214, 4712, 6217, 6896, 7748, 623, 1719, 2355, 3583, 4857, 6092, 7135, 7841, 897, 1168, 2380, 3256, 5197, 5739, 6522, 8037, 737, 1526, 2151, 3193, 4187, 6190, 6606, 8048, 683, 2126, 2696, 3747, 4826, 5966, 7135, 8148, 462, 2100, 2830, 3536, 4234, 5875, 7135, 8169, 465, 1676, 2951, 3214, 5068, 5864, 6919, 7975, 1071, 1700, 2654, 4150, 4555, 5974, 6612, 7913, 887, 1494, 2384, 3533, 4536, 5966, 7037, 8085, 887, 1676, 3026, 3575, 4630, 6085, 6708, 7737, 887, 1945, 2754, 3962, 4651, 6156, 7004, 8083, 887, 1676, 2980, 3183, 4334, 5687, 7010, 7664, 1090, 1675, 2371, 3671, 5166, 5641, 6752, 7806, 613, 1989, 2550, 3904, 4635, 5523, 6775, 7303, 955, 1645, 2795, 3456, 4872, 5825, 7028, 7376, 654, 1700, 3033, 3982, 4923, 5795, 6443, 7811, 654, 1112, 2975, 3298, 4877, 6028, 6856, 8261, 518, 2034, 2944, 3838, 4916, 6163, 7006, 8267, 654, 1865, 2151, 3822, 4551, 5677, 6607, 7865, 195, 1396, 3064, 4145, 4916, 5767, 6890, 7904, 518, 1396, 2946, 4068, 4387, 5210, 6612, 7723, 195, 1570, 2560, 3855, 4916, 5778, 6491, 8253, 518, 1313, 2659, 3886, 4902, 5892, 7232, 7816, 552, 2078, 2659, 3771, 4555, 5677, 6668, 8012, 1033, 1421, 2360, 3417, 5157, 5597, 6884, 7402, 660, 1643, 2951, 3399, 4489, 5751, 6487, 7453, 1101, 2055, 2178, 3225, 4921, 5437, 6773, 8035, 993, 1986, 2352, 3544, 4412, 6002, 7038, 7958, 160, 1671, 2254, 4005, 4447, 5788, 6909, 7657, 160, 1924, 3092, 4011, 4573, 5899, 7152, 8083, 160, 1881, 3092, 4171, 4630, 5730, 7006, 8195, 1071, 1700, 2352, 4099, 4665, 6181, 6615, 8195, 1071, 1721, 3092, 4005, 4334, 6070, 6630, 7776, 1071, 2079, 2838, 3901, 4573, 5216, 6830, 8099, 750, 1708, 3053, 3838, 4323, 5216, 6871, 8060, 1025, 1227, 2440, 4006, 4241, 5630, 6588, 8093, 1035, 1881, 3008, 3253, 4807, 6094, 7023, 7607, 831, 1275, 2661, 3213, 4536, 5749, 7222, 8213, 545, 1787, 3141, 4067, 4622, 5767, 7035, 7873, 103, 1553, 3112, 4103, 4611, 5898, 6224, 7336, 807, 1935, 2369, 3593, 4934, 5300, 6677, 7926, 487, 1550, 2429, 3261, 4509, 5584, 7059, 7707, 986, 2053, 2156, 3770, 4723, 5555, 6556, 8178, 850, 1249, 2717, 3234, 4321, 6107, 6876, 7675, 826, 1570, 2716, 4143, 5151, 6002, 7129, 7880, 887, 1434, 2688, 3472, 4437, 5538, 7170, 8061, 1035, 1596, 2370, 4082, 4646, 5523, 6883, 7827, 663, 1682, 2429, 3823, 4629, 6050, 6607, 7578, 1047, 1139, 2227, 3909, 4651, 5260, 7100, 7881, 211, 1830, 3092, 3986, 5106, 6146, 7162, 7311, 940, 1508, 3092, 3649, 4920, 5614, 7100, 7811, 863, 1141, 2878, 3886, 4459, 5378, 6480, 7899, 833, 1635, 2941, 4151, 5159, 5677, 7224, 7902, 405, 1141, 2559, 3826, 4549, 5586, 6840, 7971, 617, 1509, 2794, 3761, 4555, 6146, 7160, 8213, 228, 1141, 2792, 3826, 4630, 5677, 6810, 7660, 518, 2077, 3064, 3392, 5183, 5218, 6871, 7570, 256, 1452, 2992, 4145, 5135, 6149, 7017, 8080, 256, 2073, 2833, 3879, 4555, 5218, 6458, 7528, 240, 1623, 2792, 3879, 4985, 5719, 6979, 7876, 878, 2060, 2875, 4068, 4536, 5218, 6671, 7559, 878, 2060, 3064, 3231, 4870, 5296, 6515, 7476, 256, 1452, 2880, 3470, 5088, 5219, 6889, 7393, 256, 2106, 3133, 4092, 4398, 5784, 7024, 8266, 899, 2065, 3095, 3470, 5075, 5630, 6671, 8093, 484, 1304, 2775, 3470, 4737, 6160, 6358, 8147, 555, 2065, 3006, 3391, 4888, 5677, 7090, 7876, 186, 2073, 2833, 4150, 4624, 5661, 7207, 7806, 186, 2073, 2164, 3891, 5159, 5635, 6794, 7876, 201, 1528, 2164, 3825, 4704, 6139, 7077, 8237, 488, 2017, 2914, 3893, 4624, 5901, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 2017, 3065, 3893, 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, 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, 6794, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 64, 33, 66, 5, 31, 33, 53, 5, 16, 41, 52, 57, 66, 5, 16, 62, 11, 54, 5, 31, 16, 5, 64, 48, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 6129, 7226, 8147, 201, 1528, 2164, 3825, 4624, 6139, 7077, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 419, 1623, 2833, 4153, 4512, 5534, 7207, 8083, 617, 1933, 2172, 4113, 4240, 5678, 6612, 8085, 1059, 1724, 2725, 3826, 4338, 5737, 6391, 7477, 297, 1349, 2817, 3460, 4818, 5891, 6980, 8158, 189, 2034, 3049, 4061, 4876, 6002, 6872, 7611, 573, 1695, 2951, 3774, 4268, 5904, 7048, 7648, 893, 2067, 2951, 4094, 4843, 5286, 6482, 8171, 1035, 1238, 2951, 3941, 4619, 6204, 6732, 7686, 104, 1399, 2690, 4096, 4636, 6007, 6832, 7311, 1071, 1455, 3056, 4096, 4379, 5792, 7019, 7965, 1035, 2079, 2453, 4041, 4536, 5694, 7090, 8128, 211, 1992, 3110, 4037, 4895, 5978, 7129, 7664, 543, 1370, 3008, 4145, 4366, 5832, 6604, 8262, 654, 1623, 2669, 4006, 5168, 5378, 6668, 7744, 654, 2046, 2729, 3518, 4622, 5586, 7160, 8266, 654, 2106, 2542, 3555, 4387, 5433, 6757, 8254, 518, 2034, 2880, 3723, 5083, 5901, 7090, 8080, 195, 1645, 2839, 4006, 4852, 5436, 6752, 7941, 195, 1300, 2880, 3595, 5060, 5978, 6315, 7473, 195, 1332, 2287, 4161, 4536, 6175, 7071, 8099, 183, 1386, 3064, 3376, 4918, 5556, 6291, 8081, 767, 2020, 2725, 3920, 4836, 5379, 6338, 8093, 858, 1570, 2951, 3418, 4302, 5925, 7094, 8265, 399, 1349, 2951, 3497, 4208, 5339, 6281, 7954, 137, 1349, 2951, 3232, 4722, 5696, 6497, 7545, 569, 1719, 3011, 4134, 4901, 5734, 6424, 8050, 115, 1719, 2945, 4007, 4268, 6080, 6737, 7607, 893, 1453, 2555, 4037, 4946, 5751, 7009, 8050, 613, 1139, 2785, 3206, 4828, 5734, 6491, 7442, 543, 1974, 2854, 3770, 4895, 5923, 7095, 7254, 317, 2077, 2278, 3777, 4918, 5584, 7037, 7366, 543, 1461, 3110, 3562, 4638, 5503, 6892, 8236, 914, 2064, 2803, 3891, 4423, 5296, 6677, 7752, 186, 1528, 3117, 4145, 5165, 6195, 7218, 8126, 256, 1910, 2718, 3904, 4925, 5963, 7090, 7806, 105, 1961, 2838, 4089, 4423, 5610, 6840, 7715, 228, 1468, 3144, 4152, 4276, 5672, 6840, 7524, 453, 2078, 2340, 3866, 4549, 5548, 6840, 7557, 401, 1173, 2775, 3681, 4492, 5515, 6954, 7822, 1071, 1563, 2293, 4153, 4343, 5533, 6632, 8195, 806, 1854, 3137, 4001, 4589, 5736, 7202, 8222, 1071, 1850, 3092, 3314, 4343, 5323, 7023, 7753, 1025, 1850, 2490, 3671, 4184, 6073, 6850, 8073, 1033, 1915, 2207, 4027, 4184, 5801, 7135, 7488, 1035, 2001, 3092, 3540, 5079, 5515, 7218, 7593, 1035, 2001, 2943, 3425, 4272, 5904, 6750, 7976, 681, 1469, 2553, 3954, 4614, 5576, 7044, 7479, 803, 1503, 2224, 3358, 4730, 5598, 6887, 8222, 1035, 1737, 2687, 3468, 4206, 5871, 6928, 7808, 211, 2028, 2608, 3912, 4380, 5995, 7217, 8261, 256, 2106, 2641, 3595, 5083, 6058, 7086, 7781, 901, 1924, 2468, 3206, 5092, 5730, 6840, 8126, 256, 1564, 2468, 3770, 4918, 6063, 7090, 7602, 833, 1452, 2818, 3413, 5096, 5677, 7084, 7623, 419, 2000, 2468, 3413, 5083, 5296, 6668, 7876, 789, 1648, 2468, 4037, 5080, 6149, 6671, 7563, 256, 1851, 2944, 3555, 4437, 5550, 7218, 8117, 518, 1623, 2468, 4092, 5193, 5890, 7085, 8266, 568, 1865, 2998, 3555, 4549, 5650, 6849, 7777, 568, 1937, 2163, 3555, 4762, 5251, 6889, 7838, 757, 1858, 2740, 3681, 5120, 6103, 6810, 7476, 475, 1248, 2560, 4171, 4980, 5678, 6338, 8130, 959, 1797, 2212, 4108, 4278, 6182, 6688, 8245, 166, 1935, 3150, 3710, 4931, 5883, 6677, 8267, 802, 1682, 2732, 3420, 4501, 6162, 6850, 7875, 802, 1543, 3092, 3314, 4760, 5863, 6248, 8268, 761, 1177, 2933, 3404, 5031, 5486, 6476, 7996, 664, 1771, 2261, 3623, 4842, 5810, 6270, 7318, 864, 1740, 2790, 3208, 4298, 6119, 6735, 8206, 641, 2091, 2867, 3421, 4785, 6074, 7043, 7910, 1024, 2125, 2661, 3974, 4644, 5474, 6352, 7926, 678, 1238, 2210, 3764, 4785, 5810, 7047, 7291, 1037, 1683, 2903, 4135, 4996, 6086, 6551, 8188, 663, 1956, 3092, 3993, 4617, 6160, 6287, 7838, 304, 1939, 3018, 4067, 4651, 5475, 7157, 7572, 940, 1141, 2291, 3955, 4276, 6000, 6466, 7593, 171, 1998, 2809, 3662, 5139, 5767, 6605, 7806, 1097, 1945, 3128, 3886, 5080, 5241, 7201, 7806, 272, 1570, 2709, 3680, 5164, 6110, 6860, 7572, 952, 1797, 3091, 3320, 4954, 6128, 6938, 7476, 390, 1171, 2669, 3756, 4289, 6128, 7043, 7816, 750, 1244, 2669, 3537, 4437, 5684, 6382, 8061, 802, 1669, 2847, 3408, 4544, 5745, 6431, 8138, 1037, 1318, 2845, 4152, 4387, 6051, 7207, 7578, 1097, 1218, 2582, 3982, 4589, 5832, 7077, 7421, 1099, 1963, 2838, 3440, 5038, 6205, 7010, 7485, 1097, 1175, 3110, 4108, 5159, 6103, 7239, 7876, 186, 1622, 3117, 3866, 4366, 6139, 7132, 7806, 217, 1672, 2709, 3472, 4918, 5761, 6607, 7614, 863, 1844, 2655, 4128, 4670, 6160, 6848, 7438, 433, 1925, 2328, 4135, 4314, 5295, 7140, 8103, 752, 1318, 2363, 4138, 4856, 5694, 6597, 7528, 612, 1318, 2721, 3548, 4358, 5255, 7143, 8251, 814, 1520, 2951, 3883, 4396, 5651, 6462, 7911, 569, 1232, 2172, 3460, 4591, 5719, 6581, 7478, 974, 1152, 2381, 3486, 4271, 5812, 6287, 8046, 803, 2095, 2275, 3263, 4567, 5510, 6494, 8002, 880, 1972, 2985, 3371, 4531, 6174, 6224, 7360, 905, 1770, 2449, 3639, 4678, 5991, 6631, 7825, 504, 1168, 2885, 4015, 4765, 5621, 6325, 7690, 335, 1865, 2315, 3961, 4451, 5600, 6344, 7878, 831, 1796, 3092, 3771, 4429, 5678, 6254, 7648, 1035, 1141, 2402, 3793, 4700, 6131, 7052, 7480, 850, 1463, 2298, 3363, 4258, 6163, 6688, 8126, 424, 1944, 2279, 3932, 4374, 5366, 6892, 7919, 1035, 1141, 2925, 4085, 4895, 5705, 6413, 7284, 927, 1972, 2293, 3395, 4629, 5641, 6804, 7401, 569, 1137, 2565, 3159, 4590, 6007, 6632, 7840, 1049, 1171, 2944, 3464, 4911, 5220, 7242, 7841, 952, 1339, 3130, 3251, 4364, 5838, 6734, 7771, 654, 2013, 2468, 3376, 4945, 6205, 7162, 7401, 225, 1452, 2801, 3586, 4215, 5840, 7006, 8060, 654, 2002, 2904, 3394, 4622, 6085, 6895, 8130, 654, 2106, 2904, 3298, 4762, 5901, 7152, 8061, 195, 1756, 2880, 3993, 5143, 5219, 6704, 7717, 518, 2127, 2356, 3426, 4980, 5734, 7160, 8049, 654, 2106, 2156, 3596, 5150, 5333, 6474, 7906, 518, 1756, 3064, 3550, 4859, 5514, 7132, 7959, 228, 2106, 2473, 3931, 5168, 6103, 6909, 7557, 518, 1750, 2880, 3891, 4996, 5385, 6576, 8130, 228, 2106, 2554, 3955, 5193, 5935, 6840, 8126, 543, 2111, 2718, 4145, 5079, 6182, 7103, 7927, 650, 1311, 2359, 3417, 4435, 5586, 6270, 7948, 825, 1831, 2327, 4092, 4709, 5464, 6909, 7383, 988, 1561, 3074, 3351, 4351, 6092, 6224, 8079, 839, 1561, 2751, 3417, 4831, 6107, 7127, 7808, 806, 1550, 2327, 3480, 4881, 5444, 6478, 7450, 807, 2067, 2801, 4072, 4755, 5449, 6716, 7559, 986, 1178, 2242, 3356, 4981, 5810, 6470, 7946, 1059, 1577, 2751, 3394, 4795, 5514, 6357, 7695, 103, 1948, 3129, 3332, 4437, 5350, 7219, 7808, 756, 1692, 2167, 3356, 4795, 5352, 6348, 8111, 940, 1550, 2692, 3166, 4945, 6062, 6976, 7262, 756, 1834, 2692, 3941, 4691, 5216, 6348, 7971, 663, 1550, 2991, 3770, 4337, 6117, 6614, 8048, 356, 1140, 2492, 3500, 5088, 6212, 6860, 7355, 356, 1906, 2661, 3313, 4966, 5573, 6809, 8012, 789, 1981, 2309, 3917, 4287, 6149, 6810, 7941, 940, 1205, 2701, 3832, 5111, 5474, 6613, 7563, 779, 1707, 2946, 3732, 4877, 5548, 6612, 8209, 779, 1905, 2791, 3870, 4681, 5968, 6579, 7535, 288, 1905, 3053, 3314, 4576, 5706, 6680, 8193, 859, 1705, 2669, 3352, 4829, 5981, 6849, 7865, 419, 1623, 2669, 3886, 5183, 5527, 7058, 8236, 859, 1587, 2943, 4145, 5157, 5548, 6988, 8260, 915, 1623, 2729, 3367, 4877, 5892, 7120, 8147, 818, 1623, 3110, 4071, 4798, 6129, 6996, 7485, 201, 1528, 2914, 3825, 4624, 6139, 7239, 8260, 201, 1528, 2164, 3825, 4624, 6139, 7077, 7949, 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, 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, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 41, 20, 63, 5, 45, 66, 5, 76, 11, 78, 5, 44, 53, 62, 11, 64, 16, 28, 16, 52, 5, 66, 73, 5, 76, 20, 63, 30, 5, 20, 41, 5, 31, 16, 5, 28, 52, 57, 78, 5, 17, 75, 5, 43, 20, 63, 54, 78, 5, 16, 54, 30, 5, 43, 69, 41, 64, 5, 17, 75, 5, 66, 73, 5, 64, 17, 29, 5, 62, 23, 35, 41, 16, 52, 5, 13, 54, 66, 14, 42, 16, 54, 16, 64, 66, 64, 5, 5, 3, 555, 1586, 2860, 4168, 4700, 5890, 7220, 8195, 555, 1490, 2918, 4068, 4512, 5219, 7006, 7485, 555, 2111, 2858, 3932, 5159, 5241, 6996, 7715, 488, 2017, 3117, 3367, 4624, 5219, 7124, 8237, 142, 1528, 2806, 3825, 4624, 5241, 7077, 8147, 488, 2017, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1622, 3065, 3893, 4624, 6139, 7077, 8147, 541, 1847, 2729, 3994, 4359, 5663, 6612, 7899, 160, 2088, 2493, 3226, 5124, 5378, 6696, 8033, 1103, 1551, 2409, 3868, 4925, 5551, 7140, 7758, 635, 2019, 3090, 4073, 5027, 5358, 7192, 8269, 875, 1905, 3090, 3442, 4271, 5725, 6592, 7955, 875, 1782, 2495, 3623, 4373, 6089, 6391, 7977, 443, 1324, 2951, 3623, 4683, 5297, 6836, 7508, 249, 1294, 2415, 3653, 4514, 5339, 6908, 7503, 993, 1404, 3066, 3165, 4381, 5344, 6528, 7904, 936, 1975, 2609, 3437, 4784, 5880, 7184, 7609, 1005, 1736, 3066, 3264, 4483, 5980, 7096, 7581, 552, 1238, 2678, 3662, 5073, 5987, 7228, 7560, 684, 1620, 2515, 3761, 4533, 5598, 6668, 8080, 132, 1796, 2960, 4124, 4287, 5834, 6515, 7421, 1079, 1477, 2803, 3932, 4782, 5543, 6786, 8080, 510, 2041, 2996, 3671, 4980, 5968, 6996, 7720, 211, 1998, 3075, 3990, 5060, 5210, 7201, 7876, 465, 2048, 2818, 4164, 4215, 5534, 6486, 7913, 150, 2048, 2923, 3700, 4415, 5220, 6700, 7260, 249, 1674, 3120, 3315, 4678, 5881, 6549, 7633, 535, 2070, 2875, 3281, 4774, 6209, 6287, 8246, 526, 2070, 2798, 3861, 4436, 5441, 6422, 7615, 247, 2117, 2564, 3234, 5124, 5293, 7083, 8160, 825, 1299, 2799, 4010, 4364, 5824, 6881, 7867, 576, 1210, 2566, 3899, 5092, 5224, 6732, 7962, 225, 1796, 3099, 3978, 4942, 5918, 6340, 7602, 576, 1915, 2317, 3391, 4389, 5547, 7152, 8114, 825, 1897, 2833, 4006, 4881, 5678, 6944, 8036, 761, 1302, 2487, 3616, 4621, 6218, 6898, 8161, 363, 1776, 2725, 3915, 4201, 5952, 7246, 7479, 632, 1284, 2717, 3720, 4741, 5787, 7135, 8189, 668, 1333, 2355, 4175, 4757, 5519, 6726, 7495, 692, 1173, 2134, 3951, 4365, 5654, 6884, 7410, 335, 1770, 2595, 4003, 4535, 5481, 7098, 8213, 767, 1562, 2633, 3789, 4530, 5899, 7006, 7677, 731, 1633, 2780, 3361, 4983, 5981, 6265, 7776, 216, 1543, 2669, 3909, 4374, 5228, 6302, 7764, 401, 1777, 2998, 4152, 4622, 5832, 7132, 7948, 390, 1280, 2860, 4114, 4822, 5832, 6752, 7641, 935, 1998, 3095, 4166, 5058, 6211, 6786, 7764, 1097, 1869, 2834, 3188, 4867, 5832, 6786, 7485, 935, 1175, 2880, 3440, 5166, 6014, 6786, 8107, 488, 1175, 3095, 4011, 5038, 6182, 7132, 7485, 818, 2017, 2960, 3893, 4888, 6081, 7201, 7949, 956, 1869, 3128, 4011, 4888, 6081, 6972, 7876, 1099, 1528, 2925, 4018, 4782, 5883, 7077, 8195, 120, 2079, 2932, 4168, 4945, 5890, 6663, 8113, 967, 2032, 2880, 3564, 5138, 6070, 6668, 8031, 473, 2008, 2293, 4036, 4664, 5698, 7237, 7333, 685, 1135, 2309, 3814, 4425, 6080, 7059, 7456, 805, 1565, 2425, 3256, 4929, 5461, 7005, 7599, 558, 1513, 2191, 3648, 4709, 5866, 6697, 7396, 768, 1894, 2814, 3249, 4664, 6030, 6680, 7987, 262, 1720, 2707, 4137, 4376, 5781, 6664, 7933, 942, 1317, 2353, 3847, 4841, 6180, 6968, 7273, 948, 1152, 2407, 3258, 4657, 5286, 6433, 7520, 955, 1376, 3150, 3819, 4897, 5395, 6541, 8213, 256, 1809, 2988, 3245, 4506, 5438, 6793, 7290, 195, 1585, 3133, 3592, 4651, 6063, 7173, 7252, 195, 1141, 2316, 3391, 5139, 5978, 7024, 8076, 225, 2088, 2830, 3866, 5134, 5764, 6744, 7397, 228, 1304, 2316, 4125, 5097, 5981, 6740, 7865, 256, 2065, 2554, 3886, 4877, 5719, 6338, 8147, 756, 1826, 2669, 4171, 4681, 5550, 7098, 7405, 731, 1509, 2792, 3565, 5138, 5953, 6569, 8098, 668, 1284, 2436, 3601, 4531, 5843, 6812, 7772, 314, 1252, 2330, 3259, 4775, 6218, 6706, 7990, 271, 1865, 2710, 3284, 4814, 5358, 7112, 7955, 887, 1897, 3066, 3994, 4508, 5632, 7007, 8157, 804, 1682, 2326, 3931, 4558, 5498, 6254, 7811, 405, 1370, 3008, 4085, 5104, 5378, 6979, 8041, 844, 1490, 3006, 3819, 4604, 5710, 6646, 7267, 1025, 1469, 2766, 3973, 5096, 5710, 6689, 8167, 386, 2035, 2970, 4016, 4688, 6005, 6980, 7576, 1029, 1302, 2137, 4105, 4690, 5360, 7208, 7290, 150, 1469, 2727, 3200, 5022, 5957, 6885, 7829, 1025, 1345, 3037, 3239, 4857, 6000, 6535, 8079, 1090, 1623, 2381, 3169, 4506, 5590, 6935, 8178, 804, 2063, 2803, 3662, 4782, 5694, 6688, 8236, 1097, 1747, 2381, 3201, 5061, 6103, 7084, 7782, 956, 2000, 2781, 3886, 4551, 6205, 7010, 8185, 874, 1695, 2709, 3879, 4872, 5684, 6486, 7886, 225, 1375, 2560, 3555, 4813, 5515, 6231, 8083, 153, 1403, 2550, 3967, 4666, 5684, 7129, 8051, 650, 1758, 2975, 3521, 5063, 5393, 7224, 8016, 993, 1773, 2207, 3842, 4868, 5904, 6883, 8114, 608, 2035, 2309, 3600, 5018, 6102, 6775, 7804, 1025, 1914, 2359, 4164, 4285, 5886, 7156, 8199, 1025, 1916, 2553, 3524, 4687, 6112, 7230, 7598, 1025, 1664, 2231, 4047, 5094, 5269, 6750, 7936, 1056, 1581, 3109, 4067, 5079, 5254, 6972, 7421, 1090, 1660, 3008, 3671, 4782, 5834, 6515, 7421, 424, 1675, 2866, 3188, 5159, 5811, 6996, 7887, 1090, 1146, 2771, 4017, 5145, 6182, 6346, 7706, 1024, 1581, 2294, 3540, 5085, 6063, 6830, 7618, 895, 1478, 2888, 3915, 5176, 5348, 6632, 8159, 386, 2033, 2653, 3842, 5110, 5445, 7149, 8031, 150, 1526, 2690, 3295, 4469, 5447, 6588, 7405, 888, 1948, 2981, 3448, 5041, 5313, 6364, 7728, 917, 1167, 2294, 4128, 4278, 5480, 6235, 8131, 123, 1633, 2888, 3979, 4760, 5551, 7026, 7435, 333, 1543, 2455, 3814, 4356, 5616, 7052, 7473, 333, 2066, 3003, 3371, 4254, 5785, 6974, 7808, 1067, 1156, 2243, 3880, 5097, 5382, 6762, 7989, 371, 2033, 2431, 3780, 5114, 5729, 7002, 7614, 371, 1402, 2977, 3721, 4938, 5568, 7227, 7955, 371, 1405, 2937, 3906, 4288, 6187, 6825, 7521, 150, 1512, 3102, 3156, 4215, 5966, 6679, 7798, 643, 1736, 2130, 3878, 4780, 6183, 7047, 7591, 1056, 1509, 2484, 3932, 4925, 5814, 6850, 8260, 1056, 1475, 2957, 3540, 4630, 5684, 6467, 8266, 1056, 1675, 2727, 4166, 4792, 5816, 7239, 7485, 840, 1490, 2886, 3233, 4496, 5530, 6768, 7862, 1067, 1199, 2710, 4057, 4998, 5555, 7086, 8247, 693, 1582, 2519, 3685, 5114, 6077, 6948, 8130, 265, 1582, 2836, 3302, 4527, 6118, 6528, 8020, 917, 1582, 2422, 3184, 4788, 5224, 6897, 7375, 917, 1457, 2842, 3200, 4214, 5653, 7080, 7773, 371, 1548, 2189, 3912, 5111, 6118, 7037, 8217, 333, 1818, 2361, 3432, 4510, 5866, 6525, 8099, 1016, 1318, 2819, 3536, 5191, 5573, 7119, 7717, 1056, 1388, 2860, 3581, 4447, 5763, 6872, 7834, 256, 1523, 2473, 3512, 4291, 5548, 7202, 7872, 878, 2060, 2554, 3771, 4437, 5305, 6820, 7496, 256, 1851, 3095, 3879, 5143, 5413, 7202, 7557, 256, 1845, 2941, 3879, 5138, 5705, 7132, 7677, 240, 1386, 3147, 4115, 4344, 5965, 7098, 7260, 256, 2068, 2473, 3914, 4580, 6056, 7143, 7941, 967, 1851, 2473, 3932, 4918, 6103, 6852, 7660, 684, 2045, 2949, 4071, 5104, 5612, 7077, 8237, 1067, 1646, 2137, 3360, 5020, 5366, 7238, 7644, 249, 1740, 2869, 3702, 4755, 6116, 7157, 7525, 386, 1503, 2726, 3563, 4882, 5866, 6247, 7586, 512, 1499, 3135, 3886, 5166, 5378, 6752, 7887, 288, 1370, 2860, 3767, 5157, 5767, 7217, 8185, 390, 1212, 3143, 4115, 4861, 5754, 6265, 7421, 390, 1924, 2803, 4085, 4867, 6014, 6996, 7776, 804, 1791, 3043, 4068, 5165, 5832, 6786, 8083, 390, 2036, 2880, 3717, 5165, 6128, 6688, 7631, 955, 2079, 3043, 4174, 5104, 5661, 7239, 8107, 326, 1320, 2553, 3513, 4430, 5481, 7114, 7748, 492, 1873, 2207, 3675, 4334, 5477, 6813, 8222, 993, 1199, 2232, 3498, 5175, 6112, 7237, 8081, 993, 1503, 3003, 3950, 4315, 5209, 6302, 8199, 993, 1129, 3003, 3632, 4557, 5954, 7133, 8054, 936, 2050, 2261, 3333, 5152, 5454, 7229, 7699, 123, 2050, 2503, 3279, 4621, 5475, 7141, 7254, 83, 1840, 2727, 3915, 4597, 5408, 6319, 7590, 876, 1318, 2389, 3600, 4351, 6002, 6490, 7797, 1008, 2053, 3151, 3915, 4612, 6002, 6319, 8132, 547, 1339, 2266, 3218, 4330, 5500, 6908, 7635, 1011, 1369, 2464, 3408, 4303, 5474, 6512, 8259, 913, 1455, 2667, 3218, 4836, 5616, 6490, 8264, 938, 1897, 2393, 4003, 4687, 6149, 6929, 7971, 1011, 1489, 2518, 3513, 5106, 5212, 6612, 7954, 776, 1369, 3112, 4098, 4537, 5570, 7019, 7250, 1024, 1581, 2805, 3381, 4697, 5717, 6611, 7367, 1024, 1873, 2778, 4166, 4221, 5811, 6275, 7756, 678, 1919, 2946, 3302, 4764, 5841, 6785, 7652, 1024, 1581, 2330, 3873, 4350, 5245, 6702, 7908, 641, 1992, 2230, 3962, 4885, 6010, 6595, 8061, 913, 1598, 2387, 3950, 5091, 5960, 6622, 7605, 504, 2063, 2258, 3167, 4306, 5438, 6670, 7515, 692, 1141, 2980, 3205, 5040, 5701, 6746, 8103, 692, 1881, 2387, 3741, 4529, 5341, 6629, 8126, 952, 1139, 3061, 3873, 4636, 5425, 7232, 7951, 317, 1886, 2188, 4088, 4555, 6191, 6614, 7926, 225, 1931, 2474, 3391, 5150, 5310, 6547, 7367, 228, 1171, 2751, 3916, 4737, 6123, 6306, 7563, 225, 2125, 2293, 3391, 4352, 6110, 6895, 7496, 228, 1597, 2554, 3873, 5073, 5504, 6589, 7831, 256, 1750, 3110, 3891, 5159, 6110, 7239, 7838, 956, 1623, 2560, 4011, 5079, 5963, 7201, 7664, 818, 2017, 3117, 3914, 5038, 5705, 7069, 7806, 818, 1528, 2914, 3893, 4624, 6081, 7201, 8260, 555, 2078, 2970, 4071, 4912, 5811, 7129, 7476, 555, 2111, 3065, 4071, 4782, 6149, 7098, 7723, 617, 1750, 3147, 3931, 4890, 6129, 6589, 8237, 617, 2127, 3144, 3891, 4704, 6149, 6840, 7962, 617, 1332, 2941, 4068, 4859, 5719, 6752, 7563, 617, 1332, 3064, 3376, 5166, 6149, 6883, 8236, 552, 2127, 2554, 4171, 4583, 5811, 6840, 8051, 552, 2111, 2858, 4006, 4859, 6149, 6772, 7838, 337, 1386, 2959, 3825, 4512, 5834, 6996, 8147, 337, 2065, 2860, 4105, 4423, 5586, 6677, 8147, 860, 2017, 2806, 4113, 4704, 6186, 6515, 7485, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8237, 484, 2017, 3065, 4018, 5060, 5534, 6979, 7641, 756, 1723, 3128, 3929, 4387, 6205, 6612, 7570, 247, 1341, 3010, 4128, 4652, 5393, 6852, 7379, 810, 1658, 3151, 3224, 4353, 6086, 6456, 7892, 1071, 1913, 2541, 3206, 4730, 5289, 6477, 7369, 308, 2001, 2957, 4071, 4844, 5761, 6338, 7717, 804, 1906, 2586, 3516, 4533, 5210, 6740, 7878, 489, 1597, 2709, 3487, 4949, 5315, 6961, 7893, 489, 1332, 2991, 3364, 5139, 5296, 6774, 7465, 967, 2073, 3109, 3516, 4923, 5883, 6370, 7563, 450, 2028, 2860, 3671, 4512, 5677, 7221, 7591, 899, 1205, 2659, 3681, 4775, 5811, 6467, 8256, 1015, 1503, 2981, 4113, 5103, 5350, 6768, 7260, 317, 1582, 2160, 3895, 4344, 5643, 6731, 7889, 708, 1838, 2316, 3478, 4181, 6097, 6997, 7915, 448, 1939, 2721, 3995, 4350, 6158, 6998, 8252, 115, 1196, 2531, 3259, 5150, 6086, 6422, 7955, 613, 1931, 2653, 4017, 4509, 5863, 6469, 7879, 1033, 1726, 3034, 3623, 4751, 5512, 6470, 7605, 344, 2036, 2712, 4034, 4751, 6039, 6470, 8163, 736, 1665, 3031, 4138, 4494, 5269, 7081, 8149, 531, 1982, 2286, 3583, 4532, 5257, 6974, 8186, 266, 1658, 2951, 3500, 4315, 5371, 6798, 7623, 339, 1205, 2937, 3767, 4531, 5511, 6351, 7930, 368, 1205, 2570, 3455, 4545, 5634, 7022, 8012, 494, 1812, 2299, 3623, 4760, 5910, 6595, 7416, 494, 1205, 2402, 4075, 4687, 5207, 6838, 8078, 494, 1284, 2676, 3218, 4298, 5946, 6441, 7872, 494, 1356, 2309, 3153, 4279, 5781, 6944, 7722, 938, 1559, 2796, 3300, 4972, 5602, 7215, 8189, 864, 1559, 2613, 3190, 4529, 5304, 7080, 7465, 1080, 1559, 2581, 3276, 4869, 6171, 7091, 7503, 1024, 1141, 2549, 3414, 4334, 5513, 6260, 7764, 913, 1723, 3144, 3902, 4487, 5491, 6286, 8031, 1064, 1886, 2540, 3771, 4651, 5966, 7245, 7500, 1102, 1669, 2397, 3911, 4191, 5431, 7221, 7676, 731, 1865, 2542, 3440, 5159, 5493, 6302, 7482, 767, 1858, 2515, 3761, 5095, 6189, 6688, 8126, 304, 1175, 2436, 3826, 5091, 6085, 7058, 8107, 731, 1463, 2946, 3259, 4870, 6103, 6972, 7723, 948, 1992, 3080, 3917, 4861, 5944, 6938, 7480, 335, 1886, 2716, 3615, 5157, 5379, 6938, 7899, 767, 1886, 2943, 3582, 4305, 6014, 6850, 8164, 715, 1363, 3108, 3917, 4732, 5219, 6884, 7846, 228, 1682, 2196, 3674, 4179, 5631, 6884, 8129, 228, 1577, 2718, 3171, 4859, 5543, 6543, 7811, 240, 1440, 2792, 3555, 5019, 5580, 6589, 7641, 228, 1851, 3144, 3710, 5179, 6123, 7082, 7473, 317, 1773, 2960, 3933, 4870, 5515, 6612, 7864, 1033, 1268, 2659, 4137, 4872, 5991, 6933, 8229, 611, 1812, 2724, 3877, 5193, 5716, 6530, 7253, 1023, 2099, 2546, 3868, 5023, 5856, 7094, 7483, 360, 2118, 2731, 3159, 4678, 5399, 6263, 8239, 234, 1241, 2509, 3788, 5079, 5660, 6811, 7981, 1101, 1356, 2346, 3616, 4273, 6046, 6962, 7787, 504, 1284, 2598, 3648, 5157, 5973, 6947, 7721, 401, 1414, 2515, 3616, 5183, 5981, 7152, 7494, 271, 1141, 2502, 3471, 4226, 5794, 7098, 7349, 150, 2008, 2868, 3605, 4690, 5417, 6412, 7751, 1025, 1773, 2741, 3345, 4982, 5697, 6531, 7677, 643, 1850, 2741, 4026, 4983, 5641, 6715, 8252, 536, 1459, 2905, 3551, 4806, 6087, 6847, 7917, 955, 1723, 2152, 4005, 4576, 5864, 6588, 8184, 211, 1780, 2860, 4165, 4257, 5350, 6891, 7498, 663, 1897, 2381, 4085, 5061, 6129, 7217, 8209, 645, 1499, 3098, 3779, 4912, 5661, 6668, 7753, 1033, 1897, 2803, 4006, 4597, 5883, 6715, 8054, 150, 1926, 2940, 3999, 5193, 5716, 6540, 8154, 781, 1814, 2137, 3316, 4868, 5862, 6981, 7852, 1009, 1318, 2761, 3325, 4873, 5950, 6921, 8075, 271, 1955, 2137, 4066, 4206, 5960, 6497, 8146, 970, 1234, 2137, 3577, 5003, 5344, 6552, 8153, 504, 1405, 2137, 3577, 4667, 5991, 6286, 8255, 223, 1779, 2977, 3637, 4715, 5205, 6914, 7816, 1029, 1318, 2339, 3176, 5092, 5976, 6667, 7953, 150, 1499, 2339, 3552, 4666, 5768, 6701, 8031, 1025, 2055, 2137, 3781, 4925, 5797, 6347, 7290, 608, 1935, 2137, 3229, 4987, 5600, 6898, 7625, 1025, 2061, 2736, 3478, 4330, 6000, 6726, 8054, 826, 2061, 3112, 3999, 4559, 6153, 6871, 7798, 424, 2061, 3149, 4074, 4691, 5910, 6528, 7865, 1090, 1146, 2282, 3643, 5184, 5534, 7152, 7264, 610, 2061, 2480, 3427, 4987, 5221, 6880, 7810, 1090, 2061, 3092, 3922, 5020, 5815, 6551, 7296, 424, 1833, 2137, 3488, 5115, 5694, 6953, 7528, 756, 1146, 2359, 3664, 4691, 5694, 6254, 7739, 715, 1978, 2842, 4038, 5079, 5968, 6947, 8213, 440, 1436, 2868, 3305, 4890, 6063, 6443, 7384, 541, 1821, 2638, 3499, 4716, 5810, 6939, 7384, 1059, 1363, 2315, 3407, 4458, 5474, 7076, 7917, 995, 2125, 3002, 3973, 4784, 5800, 7197, 8118, 825, 1826, 2625, 3513, 4802, 6189, 6985, 7883, 516, 1363, 2720, 3391, 4948, 6097, 6443, 8016, 317, 1519, 2487, 3749, 4955, 5546, 6719, 7293, 317, 1430, 2788, 3591, 5124, 6189, 7069, 7680, 228, 1529, 2156, 3957, 4945, 5694, 6677, 7753, 228, 2061, 2729, 3671, 4398, 5548, 6291, 8260, 228, 1597, 3147, 3595, 4374, 6205, 7047, 8066, 256, 1684, 2554, 4153, 4622, 6110, 6291, 7811, 552, 2013, 3040, 3838, 5079, 5677, 6688, 7477, 797, 2111, 2833, 4171, 4704, 5963, 7077, 7677, 488, 2017, 2806, 3893, 4624, 5635, 7077, 8223, 488, 1622, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 3065, 3893, 4624, 6139, 6794, 8196, 915, 1648, 2970, 3391, 4798, 5635, 6515, 8223, 555, 1648, 2970, 3550, 4681, 5811, 6752, 8223, 617, 1750, 2970, 3815, 4583, 5981, 6996, 8076, 617, 1332, 3065, 3374, 4622, 5241, 6840, 7715, 617, 2127, 2729, 3374, 4555, 6149, 6988, 7810, 617, 1736, 2970, 3277, 4996, 5981, 6810, 8130, 555, 1332, 2806, 3680, 4387, 5635, 7124, 8236, 337, 2111, 2970, 4171, 4554, 5385, 6810, 7806, 186, 2065, 2424, 3994, 5060, 6182, 6604, 8237, 818, 1804, 2947, 4011, 5166, 5761, 6589, 8260, 216, 2073, 2838, 3680, 5060, 5216, 6750, 7641, 604, 1499, 3137, 3168, 4826, 5917, 6550, 7979, 442, 1632, 3090, 3741, 4650, 6173, 6570, 8011, 900, 1582, 2455, 4079, 4761, 5948, 6308, 8100, 684, 2068, 2924, 3639, 5017, 5719, 6443, 8087, 901, 1660, 2139, 3646, 4323, 6050, 6314, 7933, 967, 2041, 2473, 3595, 4912, 5641, 7069, 8111, 484, 2097, 2834, 4106, 4589, 6211, 7091, 7576, 984, 2097, 2860, 4017, 4742, 5586, 6688, 7485, 935, 2032, 3109, 4171, 5166, 6063, 6891, 7876, 935, 2032, 2164, 3803, 4704, 5630, 6891, 8267, 935, 2032, 2834, 3932, 5166, 6081, 7132, 7895, 935, 2017, 3135, 3240, 4704, 5635, 6752, 8267, 568, 1695, 3000, 4089, 4387, 5534, 6486, 7477, 195, 1129, 3000, 3206, 5138, 6187, 7127, 7807, 334, 1108, 2691, 4015, 4419, 5908, 7016, 8132, 421, 1332, 2487, 4085, 4334, 5297, 6365, 7367, 757, 1332, 2656, 3470, 4343, 5673, 7129, 7547, 216, 1644, 2379, 3372, 5061, 6005, 6566, 7749, 658, 1971, 2994, 3928, 4678, 5968, 6605, 8156, 404, 1507, 2309, 3293, 4918, 5372, 7082, 8135, 722, 1786, 2386, 3601, 5124, 5943, 6384, 8079, 391, 1655, 2659, 3389, 5145, 5719, 7126, 7639, 391, 1926, 2234, 4117, 4697, 5532, 6249, 7821, 767, 1926, 2891, 3298, 4501, 5684, 6446, 8108, 223, 1251, 2330, 3293, 4643, 6067, 7060, 8241, 643, 1318, 2659, 3279, 4962, 5850, 6915, 7513, 150, 1499, 2659, 3243, 5148, 5947, 6891, 7447, 887, 1867, 2556, 3728, 4994, 5344, 7048, 7396, 663, 1995, 3020, 3540, 4813, 6066, 6229, 7438, 1056, 1562, 2977, 3728, 5060, 5350, 7237, 7703, 288, 1591, 3143, 4097, 5159, 5515, 6871, 7918, 1056, 2068, 2456, 3990, 5038, 6051, 7239, 7677, 959, 1562, 3092, 3737, 5166, 6020, 6870, 8188, 308, 1847, 2975, 3982, 4822, 6129, 6688, 8237, 804, 1399, 3133, 3987, 4551, 5219, 6709, 8237, 308, 2002, 2957, 3886, 5160, 5485, 6979, 7677, 568, 2002, 2709, 3224, 5164, 5993, 7152, 8118, 225, 2002, 2487, 3276, 4267, 5514, 7129, 8016, 225, 1570, 2554, 3681, 4398, 6205, 7100, 7838, 654, 2061, 2175, 3891, 5130, 5767, 6760, 7908, 225, 2061, 2959, 3518, 4870, 5764, 7160, 7602, 317, 2002, 2729, 3518, 5079, 5493, 6607, 7962, 153, 1826, 2980, 3951, 4681, 5957, 7103, 7965, 752, 1981, 2792, 3941, 4555, 5893, 6291, 8260, 492, 1477, 2196, 3778, 4305, 5374, 6837, 8200, 1017, 1865, 2635, 3773, 4364, 5782, 7137, 8057, 360, 1510, 2154, 3894, 4408, 6142, 6894, 7645, 980, 1510, 2239, 3668, 4770, 6002, 6818, 8078, 105, 1657, 2715, 3920, 4881, 5547, 6775, 8151, 935, 1976, 3008, 3487, 4822, 6085, 6830, 8267, 183, 1845, 2941, 3904, 4512, 5795, 7023, 7602, 225, 1633, 2718, 3391, 4762, 5580, 7160, 8080, 757, 1905, 2941, 4161, 5075, 5223, 6443, 7664, 859, 1752, 2833, 3188, 5075, 5901, 6809, 7538, 488, 2017, 2754, 3645, 4622, 5241, 6774, 8147, 186, 2017, 2164, 3803, 4622, 5219, 7226, 7876, 935, 2017, 2164, 3825, 5165, 6186, 7077, 7485, 186, 2017, 2806, 4041, 4287, 6139, 7201, 7806, 818, 1528, 3117, 3367, 4622, 5968, 6972, 8196, 915, 1528, 2991, 3914, 4888, 5705, 6988, 7631, 120, 1199, 2931, 3410, 5053, 5918, 6705, 7746, 1015, 1490, 2965, 3355, 4533, 5485, 7082, 8070, 1015, 1141, 3143, 4168, 4287, 5730, 7011, 7703, 401, 1490, 3150, 3352, 5038, 5359, 7012, 8177, 611, 1849, 2661, 3199, 4327, 5338, 6524, 8128, 814, 1788, 2445, 3906, 4751, 5826, 6523, 7980, 840, 2029, 2309, 3938, 5008, 5960, 6700, 7983, 1067, 1188, 2309, 3652, 4373, 6094, 6224, 8240, 1067, 2062, 2325, 3398, 5124, 6030, 6978, 7954, 531, 1489, 2311, 3651, 5008, 5408, 6596, 7953, 333, 2036, 2137, 3410, 4243, 5512, 6247, 8252, 113, 1251, 2911, 3685, 4832, 6218, 6581, 7517, 917, 1838, 2470, 3220, 4755, 5752, 6476, 8054, 938, 1897, 2549, 4136, 5030, 5299, 6626, 8034, 1024, 1572, 2189, 3604, 4931, 6218, 7219, 7962, 938, 1499, 2189, 4102, 4573, 5512, 7101, 7670, 1016, 1919, 2425, 3306, 4882, 6000, 6514, 7371, 1051, 1146, 2839, 3512, 4592, 6014, 6604, 7898, 256, 1724, 2888, 4092, 4748, 5730, 6265, 8199, 440, 2127, 3000, 3391, 5165, 5436, 7132, 8026, 500, 2106, 2992, 3421, 4923, 6149, 6247, 7748, 789, 1669, 2469, 3188, 4890, 5580, 6540, 8077, 878, 1770, 2608, 3710, 5157, 5438, 6740, 7649, 833, 1804, 2254, 3226, 4859, 5850, 6709, 7768, 1067, 1932, 2860, 3859, 4760, 5952, 7219, 7607, 249, 1469, 2726, 3829, 4354, 5754, 6418, 7968, 363, 1469, 2135, 3946, 5108, 5344, 6951, 7371, 1067, 1440, 2842, 3623, 5008, 5387, 7213, 7538, 643, 1440, 2260, 3463, 4243, 5408, 6928, 7416, 887, 1682, 3040, 3931, 4364, 5634, 7164, 7954, 150, 2050, 2562, 3936, 4245, 6196, 6966, 7383, 1101, 1393, 2373, 3249, 4604, 5250, 6885, 8214, 458, 1296, 2345, 4005, 5192, 5442, 6488, 7900, 363, 1299, 2990, 3612, 4804, 6141, 7219, 7605, 1101, 1509, 2294, 4080, 4321, 5765, 7066, 7605, 271, 1915, 2775, 3420, 4623, 5280, 6626, 8079, 304, 1777, 2980, 3795, 4374, 5740, 6426, 8083, 678, 2033, 2695, 3706, 4777, 5555, 6677, 8086, 955, 1302, 3008, 3917, 4856, 5300, 6725, 7664, 940, 1773, 2980, 3949, 5166, 6195, 7157, 7421, 308, 2000, 3053, 3908, 5061, 6025, 6972, 8188, 1099, 1995, 3021, 4174, 5058, 6163, 7058, 8185, 419, 2041, 2803, 3407, 4888, 5661, 6740, 7557, 276, 1961, 2316, 3999, 5150, 5334, 6853, 7677, 256, 1326, 2303, 3305, 4996, 6117, 6918, 8118, 804, 1370, 2238, 3914, 5095, 5873, 7098, 7721, 1071, 1332, 3135, 3886, 4861, 5385, 6677, 8188, 1084, 1439, 2487, 3487, 4470, 5754, 6550, 7423, 536, 1523, 3132, 3412, 4902, 5742, 6874, 7868, 897, 1983, 2380, 3770, 5122, 5569, 6651, 7505, 462, 1459, 2355, 4090, 5121, 6002, 6514, 7865, 536, 1918, 2380, 3839, 5054, 5773, 6881, 8092, 113, 1734, 2874, 3720, 4404, 5403, 6243, 7966, 495, 1581, 2519, 3481, 4755, 5441, 6920, 7730, 390, 2024, 2511, 3581, 4795, 5844, 6979, 8058, 940, 1995, 2729, 4151, 4374, 5883, 6915, 7565, 970, 1331, 2946, 3945, 5085, 6128, 6787, 7657, 995, 1910, 2556, 4096, 4780, 5824, 6746, 8092, 487, 1540, 2728, 3271, 4878, 5200, 6476, 8061, 271, 1782, 2396, 3580, 4805, 5745, 6910, 8211, 569, 1286, 2151, 3741, 5145, 5414, 7181, 7466, 335, 1624, 2312, 3298, 4913, 6141, 6916, 7603, 778, 1255, 2429, 3801, 5129, 6160, 6393, 7965, 850, 1676, 2940, 4082, 4530, 6195, 6484, 7862, 831, 1778, 2429, 4035, 5183, 6131, 6615, 7481, 1057, 1399, 2731, 4078, 5095, 5390, 7114, 8213, 913, 2107, 2282, 3570, 4408, 5443, 6625, 7574, 913, 1202, 2897, 4084, 4800, 6002, 7061, 7378, 639, 1455, 2897, 3413, 4437, 5573, 6338, 7748, 1024, 1570, 2515, 3613, 4282, 5706, 7164, 7981, 678, 2111, 2288, 3978, 4770, 5285, 7017, 7303, 256, 2001, 2783, 3391, 4329, 5360, 7069, 7532, 225, 1749, 2242, 3749, 5079, 5865, 6607, 7369, 225, 2034, 2473, 3426, 4980, 5962, 6486, 7509, 654, 1283, 2221, 4073, 4638, 6157, 6715, 7811, 228, 1851, 2529, 3394, 4904, 5548, 7095, 7781, 240, 2078, 2869, 4166, 4764, 5438, 7003, 7509, 240, 1488, 3068, 4071, 4512, 5778, 6515, 8066, 419, 1851, 3062, 3825, 5166, 5241, 6612, 7715, 915, 1756, 2941, 3914, 4704, 5241, 7077, 7476, 488, 1622, 3062, 3914, 4704, 5677, 7124, 7715, 915, 1756, 2806, 3914, 4704, 6186, 7124, 8196, 915, 1648, 2914, 3595, 4624, 6186, 7077, 7766, 543, 1851, 2988, 4006, 5083, 5534, 6612, 7476, 127, 1488, 3064, 4174, 5168, 5223, 6589, 7715, 518, 1898, 2554, 3407, 5138, 5901, 7152, 8213, 654, 1345, 2904, 4145, 5079, 5581, 6604, 8061, 518, 2127, 2565, 3891, 5138, 5624, 6607, 8126, 228, 2111, 2554, 4006, 4638, 5548, 6584, 7563, 228, 1851, 3147, 3535, 4859, 6149, 6809, 8185, 256, 1529, 2271, 3350, 4326, 6000, 7103, 8061, 240, 1756, 2554, 4006, 4423, 5241, 6752, 7715, 240, 1468, 2970, 3376, 4549, 5767, 6612, 7723, 228, 1750, 2468, 3770, 5159, 6149, 6889, 7303, 543, 1851, 2791, 3407, 4762, 5705, 6810, 8262, 256, 1750, 2356, 3394, 4638, 5624, 7160, 7485, 543, 1345, 2669, 4047, 4344, 6175, 6671, 7717, 818, 2017, 2554, 3470, 4704, 5792, 6668, 7563, 860, 1528, 2806, 3914, 4704, 5677, 7124, 7715, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3117, 3367, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 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, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 53, 26, 5, 43, 11, 63, 66, 5, 52, 33, 62, 66, 5, 41, 20, 63, 5, 50, 60, 5, 5, 3, 914, 1717, 3053, 4018, 5139, 6120, 6889, 7715, 752, 2090, 2837, 4035, 5070, 6166, 6850, 7508, 1035, 1681, 2842, 4119, 4855, 6042, 6880, 7311, 203, 1469, 2532, 3965, 5137, 5213, 6997, 7478, 673, 1426, 3010, 3702, 5015, 5819, 6244, 7684, 179, 1426, 2301, 3519, 4211, 5685, 6466, 8023, 407, 1865, 2627, 3168, 4847, 5236, 6795, 7713, 827, 1828, 2425, 3504, 5071, 5512, 7116, 7822, 242, 1653, 2358, 3181, 4832, 5449, 6522, 7643, 320, 1724, 2188, 3943, 4760, 6101, 6614, 7844, 738, 1907, 2627, 3383, 4241, 6130, 6817, 7828, 620, 1422, 3051, 3900, 5115, 6217, 6400, 7739, 428, 1570, 2987, 3768, 4487, 5657, 7184, 7742, 331, 2109, 2230, 3305, 5171, 5745, 6937, 7911, 1102, 1132, 2720, 3743, 4673, 5766, 6932, 8061, 709, 2065, 2251, 3564, 4855, 5496, 6909, 8099, 1015, 1199, 3026, 3592, 4420, 6094, 6772, 7756, 473, 1585, 2361, 4036, 4433, 5810, 6564, 7786, 1015, 1925, 2163, 4168, 4727, 5445, 6338, 7470, 776, 1468, 2352, 4168, 4668, 6140, 7160, 8247, 844, 1199, 2895, 3951, 4808, 6094, 6703, 8085, 980, 1523, 2858, 4085, 5145, 5572, 6736, 7814, 776, 1609, 2925, 3176, 4764, 5359, 7106, 7705, 895, 1615, 2977, 3153, 4531, 5353, 6378, 7496, 895, 1615, 2977, 3479, 5029, 5347, 6879, 7758, 320, 1393, 2173, 3215, 5190, 6089, 7052, 7284, 1029, 1135, 2459, 3217, 4337, 6090, 6370, 7746, 840, 1877, 2137, 3337, 5008, 6162, 6372, 8157, 643, 1849, 2137, 3826, 4960, 6174, 6360, 7868, 938, 1318, 2234, 4164, 4972, 5881, 7035, 7794, 262, 1786, 2299, 3551, 5079, 6064, 7198, 7408, 537, 1509, 2764, 4162, 4759, 5346, 6573, 8095, 216, 2065, 2946, 3487, 4429, 5995, 7004, 7259, 1047, 1758, 3098, 3253, 5088, 5684, 6920, 7948, 571, 1280, 3021, 4097, 4872, 5981, 6584, 8107, 860, 1467, 3135, 3367, 4551, 5901, 7218, 8147, 488, 2032, 3007, 3982, 4630, 5901, 7084, 8083, 186, 2017, 3065, 3803, 4798, 6182, 7124, 8260, 488, 2032, 2806, 3893, 4704, 5901, 6752, 8267, 488, 1528, 2781, 3893, 4624, 5241, 7077, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 488, 2017, 3065, 3825, 4624, 5635, 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, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1961, 2970, 3893, 4764, 6139, 6996, 7717, 419, 1974, 3147, 3550, 4727, 5515, 7077, 8196, 419, 1974, 2875, 3233, 5060, 6182, 6996, 8076, 105, 1675, 2536, 3970, 4344, 6204, 7096, 7827, 955, 1791, 2652, 3766, 4344, 5550, 6442, 7718, 752, 1596, 2536, 3224, 4801, 6221, 7152, 7959, 850, 1596, 2986, 3300, 4258, 6015, 7007, 7869, 844, 2066, 2986, 3521, 5128, 5727, 6949, 8170, 1038, 1139, 3040, 3233, 4778, 5658, 7087, 7686, 803, 1596, 3040, 3529, 4592, 5594, 6673, 7852, 247, 1828, 2832, 3936, 4796, 6180, 6422, 7621, 880, 1171, 2339, 3581, 5011, 6088, 6730, 7968, 160, 2118, 2732, 3169, 4601, 5589, 6844, 7717, 373, 1915, 2839, 3960, 5090, 5938, 6243, 8205, 881, 1732, 2793, 3983, 5193, 5474, 6442, 8125, 993, 1164, 3112, 3535, 4755, 5840, 6668, 7438, 807, 2008, 2221, 3970, 5023, 5527, 6617, 7873, 487, 1302, 2491, 3394, 4946, 5981, 6672, 8012, 986, 1777, 2282, 3575, 4589, 5224, 6280, 7905, 582, 1550, 3076, 3904, 4402, 5664, 7192, 7288, 545, 2009, 2346, 3251, 4539, 5978, 6692, 7260, 271, 1550, 2175, 3788, 4539, 5523, 7181, 8189, 1025, 1550, 2429, 4037, 4415, 5764, 6592, 7743, 424, 2088, 2880, 3990, 5165, 5844, 7120, 7598, 488, 2000, 2946, 3710, 5060, 6063, 6776, 8147, 186, 2000, 2946, 3886, 5104, 5241, 6972, 7717, 818, 1869, 2803, 3982, 4622, 6182, 7084, 8237, 956, 1648, 3117, 4145, 4888, 5832, 6996, 8237, 967, 1386, 2709, 3803, 4630, 6186, 7207, 7631, 186, 2073, 3135, 3982, 5060, 6081, 7239, 7949, 818, 1620, 3065, 3982, 4980, 5832, 6794, 7766, 956, 1620, 3117, 3886, 4704, 6129, 7239, 8147, 541, 2098, 2717, 3440, 4622, 6181, 6672, 8016, 568, 1813, 2282, 3359, 4536, 5629, 7007, 7716, 552, 2002, 2944, 3374, 5106, 5438, 6980, 7393, 552, 2065, 2473, 3932, 5083, 5548, 6430, 7717, 256, 2106, 2709, 3364, 5157, 5908, 7098, 7485, 256, 2127, 2473, 4068, 4583, 5677, 6607, 8093, 789, 1525, 3021, 3470, 4890, 5515, 6677, 8047, 240, 1750, 2454, 3879, 5159, 5534, 6612, 7664, 518, 1750, 2914, 4174, 4704, 6149, 7120, 7717, 901, 1345, 2792, 3933, 4533, 5963, 6935, 7262, 645, 1773, 3008, 3556, 4780, 6110, 6540, 7481, 1067, 1333, 2257, 3578, 4891, 5262, 7071, 8240, 249, 1950, 2407, 3536, 4868, 6030, 7232, 8118, 333, 1503, 2377, 3602, 4989, 5798, 7003, 8020, 540, 1503, 2628, 3600, 4273, 5711, 7070, 7625, 271, 2050, 2766, 3552, 5151, 5528, 7109, 7441, 465, 1199, 2690, 3701, 4664, 5245, 6806, 8073, 1057, 2059, 3126, 4004, 5144, 6198, 6803, 7602, 833, 1915, 3026, 3783, 4918, 5658, 6884, 7291, 308, 1540, 2970, 3866, 4287, 5294, 7129, 7716, 684, 1700, 2970, 3909, 5129, 5378, 6988, 7676, 804, 1660, 2167, 3909, 5038, 5832, 6752, 7631, 757, 1706, 3149, 3855, 5020, 5918, 7091, 8205, 334, 1238, 2196, 3410, 4618, 5548, 7114, 7960, 397, 1174, 2139, 3820, 4651, 5555, 7232, 7376, 495, 1306, 3080, 4072, 4180, 6154, 6870, 8099, 893, 1971, 2128, 4094, 4942, 5504, 6768, 7313, 936, 1773, 2883, 4003, 4804, 5543, 6347, 7753, 936, 1154, 2506, 3195, 4378, 5604, 6600, 7571, 936, 1555, 2805, 3601, 5018, 5732, 7229, 7841, 113, 1855, 2506, 3778, 4635, 5933, 7140, 7565, 1030, 1674, 2258, 3408, 4204, 6167, 7042, 7869, 371, 2050, 2506, 3910, 4462, 5947, 7063, 8139, 371, 1751, 2506, 3170, 4271, 5578, 7112, 7554, 371, 1674, 2974, 3193, 5188, 6002, 6811, 8078, 371, 1146, 3151, 4137, 4420, 6204, 6572, 7817, 235, 1937, 2536, 3998, 5188, 5810, 6787, 7916, 603, 1674, 2974, 3170, 5138, 5601, 7022, 7462, 776, 1849, 2741, 3701, 4339, 5223, 6542, 7537, 693, 1897, 2741, 3790, 4537, 5719, 6476, 7386, 693, 1582, 2579, 3964, 4448, 6015, 6504, 8271, 265, 2073, 2979, 3214, 4925, 6082, 6801, 7709, 371, 1786, 2365, 3652, 5134, 5593, 6498, 8181, 693, 1408, 2365, 3219, 5127, 5596, 6504, 7866, 888, 1141, 3018, 3312, 4748, 5759, 7112, 7606, 265, 1742, 2310, 4041, 4404, 5480, 6744, 8095, 730, 1510, 3028, 3812, 4945, 5223, 6466, 8165, 730, 1108, 2401, 3711, 4229, 5212, 6952, 8055, 113, 1570, 2942, 3339, 4214, 5650, 6915, 8015, 491, 1693, 2258, 3751, 4384, 5620, 6886, 7948, 495, 1397, 2579, 3341, 5171, 5606, 6546, 8078, 807, 1534, 2579, 3342, 4644, 5745, 6344, 7275, 844, 1561, 2444, 3853, 4350, 5734, 6426, 7727, 390, 1289, 3109, 3639, 4934, 5695, 6726, 8253, 1099, 2041, 3021, 3361, 4555, 5901, 6776, 7303, 935, 1876, 3135, 3827, 4782, 5687, 7207, 8076, 818, 2017, 3110, 3516, 4888, 5630, 6709, 7664, 488, 1684, 2946, 4166, 5166, 6182, 7120, 7732, 818, 1528, 3065, 3893, 4624, 5767, 6786, 8223, 859, 1750, 2957, 4011, 4980, 5883, 6752, 8223, 859, 1974, 2880, 4068, 5079, 5210, 6996, 8126, 859, 2127, 3147, 3891, 4549, 5550, 7152, 7865, 105, 2106, 2858, 3518, 4622, 5385, 6772, 7664, 617, 1750, 2554, 3770, 4304, 5719, 6810, 7563, 859, 2127, 3144, 3914, 4512, 5296, 6810, 7664, 859, 2127, 2554, 3827, 4583, 5811, 6291, 7563, 4, 2 ]

[ 1, 33, 75, 35, 5, 67, 20, 66, 5, 17, 75, 5, 31, 14, 66, 5, 5, 5, 42, 69, 30, 5, 42, 11, 30, 5, 5, 5, 50, 11, 54, 78, 5, 42, 14, 64, 62, 66, 5, 43, 20, 63, 64, 52, 47, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 6211, 7124, 8147, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 1851, 2914, 3893, 4624, 5493, 7124, 8147, 419, 1623, 2941, 3914, 4398, 5241, 6752, 8126, 756, 1375, 2582, 3993, 4606, 5216, 6393, 7957, 616, 1375, 2457, 4076, 4946, 5276, 6513, 7618, 681, 2008, 2346, 3965, 4636, 5739, 6439, 7750, 247, 2099, 2987, 3936, 4800, 6220, 7129, 7449, 160, 1770, 2810, 3578, 4510, 5242, 7198, 7849, 610, 1499, 2661, 3398, 5169, 5765, 6559, 8271, 331, 1931, 2544, 4168, 4623, 5768, 7119, 7975, 825, 1199, 2187, 3370, 4343, 5627, 7149, 7547, 410, 1269, 2348, 3649, 5090, 6114, 6639, 8092, 895, 1477, 2163, 3720, 4418, 5640, 6502, 7928, 1019, 1682, 2429, 3714, 4214, 5909, 6828, 7519, 668, 1426, 2429, 3315, 4321, 6135, 6673, 8028, 750, 1596, 2915, 3793, 5075, 5525, 6719, 7472, 789, 1736, 2473, 3226, 4412, 5470, 7149, 7607, 256, 1452, 2833, 3413, 4181, 5515, 7201, 7878, 256, 2030, 2315, 3550, 5138, 6137, 7084, 8130, 256, 1874, 2487, 3857, 4287, 6094, 6980, 8025, 440, 2032, 2839, 3394, 4955, 6195, 6615, 7902, 132, 1153, 2970, 3391, 4366, 5219, 7132, 8061, 223, 1407, 2998, 3332, 4387, 5891, 6919, 7895, 976, 1926, 2983, 3393, 4214, 5872, 6683, 7915, 895, 1800, 2966, 3455, 4507, 5495, 6398, 7659, 1067, 1106, 2218, 3284, 4459, 6109, 6456, 8026, 840, 1106, 2751, 3717, 4196, 5447, 6681, 7908, 536, 1926, 2974, 4016, 4468, 5636, 6754, 8129, 492, 1743, 2979, 3717, 4410, 5457, 6872, 8174, 113, 1248, 2532, 3790, 4687, 5640, 6673, 7284, 976, 1669, 2911, 3261, 5144, 5745, 6360, 8166, 759, 1770, 2349, 4115, 5195, 5898, 6299, 8073, 959, 1994, 3147, 3877, 4859, 5797, 6525, 7532, 217, 2061, 2615, 3916, 5169, 5810, 6882, 7973, 976, 1463, 2389, 3479, 4561, 6130, 6614, 8044, 895, 1782, 2349, 3897, 4483, 5239, 6980, 8186, 895, 1244, 2349, 4099, 4440, 5959, 6913, 8176, 271, 1407, 2979, 3403, 5088, 5989, 7092, 7544, 610, 1707, 3112, 3895, 4440, 5350, 6850, 8046, 440, 1919, 2560, 3314, 4715, 5980, 6894, 8209, 288, 1649, 2381, 3188, 4429, 6014, 7030, 7918, 804, 1560, 3144, 3710, 5020, 5892, 7047, 7477, 440, 1369, 2941, 3767, 5088, 5761, 6536, 8066, 440, 1849, 2282, 3961, 5017, 6080, 7100, 7660, 115, 1736, 2137, 3317, 4983, 5653, 6562, 8179, 113, 1596, 2487, 3697, 4896, 5390, 6468, 7275, 803, 1826, 2258, 4088, 4846, 5595, 6775, 8254, 875, 1826, 2241, 3899, 4278, 5574, 6772, 8140, 1041, 1171, 2951, 3835, 4209, 5594, 6469, 7981, 1052, 1938, 2260, 3549, 4485, 6135, 6963, 7253, 1052, 2061, 2642, 3592, 4719, 5942, 6442, 7737, 1005, 1370, 3040, 3690, 4730, 5578, 6961, 7809, 223, 1348, 3121, 3277, 4910, 5955, 6504, 8005, 952, 1789, 2321, 3737, 5193, 5983, 6637, 8046, 643, 1332, 2151, 3536, 4929, 5457, 6251, 7894, 731, 1332, 2839, 3777, 4525, 5693, 6680, 7992, 304, 1457, 2956, 3413, 5001, 5754, 7051, 7592, 405, 1897, 2151, 3596, 4239, 5752, 7181, 8267, 488, 1998, 2493, 3990, 4573, 5942, 6668, 7720, 935, 1623, 2880, 3374, 4447, 5514, 6584, 7806, 356, 1332, 2139, 3595, 4872, 5908, 7129, 8076, 105, 1349, 2880, 3785, 4912, 5630, 6972, 7508, 915, 1684, 2970, 3391, 5138, 6175, 6688, 8147, 860, 1528, 2806, 4174, 4704, 6081, 7077, 8147, 860, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 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, 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, 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, 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, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 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, 3825, 4798, 6186, 7124, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 132, 2088, 3065, 3825, 4780, 5963, 7006, 7732, 488, 1528, 2164, 3893, 4624, 5635, 7077, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7239, 7766, 252, 1517, 2644, 3904, 4818, 6114, 6779, 7844, 91, 1396, 2761, 3230, 4244, 5206, 6984, 8053, 617, 1490, 3059, 3932, 4237, 5935, 6800, 8213, 104, 1596, 3150, 4111, 4807, 5334, 7012, 7979, 937, 1972, 2474, 3249, 4941, 5446, 6512, 8200, 408, 1898, 2468, 4165, 4650, 5856, 6272, 8168, 537, 1183, 3028, 3982, 4558, 5520, 6677, 8048, 1016, 1898, 2578, 3753, 4928, 5697, 6623, 7524, 961, 1527, 2502, 3753, 4302, 5899, 7103, 8217, 951, 1830, 3057, 3949, 4590, 5765, 7043, 7591, 684, 1286, 2642, 3253, 4918, 5294, 7010, 7631, 1097, 1869, 2326, 4011, 4630, 5493, 6979, 8237, 1097, 1869, 2991, 4011, 5038, 5635, 7084, 8179, 1097, 1175, 3006, 4114, 4822, 6195, 7201, 7949, 818, 2068, 2838, 3909, 4782, 6129, 6786, 7949, 818, 2017, 3117, 4114, 5038, 5241, 7132, 8185, 555, 1992, 3007, 4174, 4624, 6129, 6302, 8076, 356, 1257, 2188, 3851, 4512, 5548, 6296, 7811, 945, 1528, 3065, 3893, 4624, 5892, 6752, 7485, 488, 2017, 2806, 4071, 4624, 6081, 7006, 7766, 488, 1528, 2806, 3893, 4624, 5635, 6794, 8223, 818, 2017, 3065, 3825, 4624, 6186, 6996, 8223, 488, 1528, 2164, 3893, 4624, 6186, 7124, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8223, 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, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 579, 1320, 2971, 3838, 4921, 5385, 6592, 7997, 165, 1801, 2453, 3662, 5097, 6148, 6433, 7927, 153, 1421, 2355, 3826, 4526, 5424, 6413, 7547, 825, 1630, 2529, 4065, 5188, 6108, 6925, 7546, 616, 1555, 2361, 4027, 4715, 5250, 7238, 7954, 964, 1346, 3103, 4055, 4669, 5419, 6675, 7823, 179, 1740, 2672, 3356, 4874, 6010, 6828, 7442, 966, 1261, 2559, 3326, 4403, 5518, 6398, 7542, 810, 1261, 2847, 3748, 4678, 5738, 6620, 7590, 173, 1440, 2748, 3531, 4848, 5828, 6635, 8109, 739, 1440, 2345, 3925, 4764, 5782, 6354, 8247, 310, 1440, 2876, 3764, 5005, 5479, 6360, 7756, 611, 1404, 2506, 3379, 5128, 5885, 6592, 7578, 511, 2105, 2917, 3314, 5018, 5646, 7141, 7273, 508, 1840, 2506, 4012, 4506, 5277, 6542, 7671, 508, 1278, 2894, 3748, 5124, 5621, 6518, 7877, 508, 1499, 2506, 3757, 4770, 5607, 7080, 8197, 508, 1682, 2506, 3814, 4800, 5346, 6707, 7712, 508, 1318, 2791, 3727, 4401, 5480, 6275, 7930, 887, 1426, 2769, 3814, 4557, 5643, 6694, 7922, 641, 2050, 2192, 3967, 4883, 5995, 6237, 8046, 831, 1426, 2860, 3915, 4589, 5646, 6542, 8087, 678, 1898, 3150, 3422, 4709, 5567, 7168, 7768, 424, 2088, 2791, 3154, 4387, 5611, 6408, 8259, 424, 1426, 2728, 3524, 4994, 5346, 6239, 7649, 424, 1426, 2880, 4043, 4462, 5360, 6612, 7467, 571, 1426, 2453, 3463, 4217, 6169, 6909, 7570, 403, 1777, 2953, 3929, 4716, 6063, 7162, 8078, 571, 1349, 2858, 3413, 5157, 5911, 6325, 8209, 571, 1496, 3108, 3908, 4598, 5586, 6762, 8103, 510, 2063, 2970, 3917, 4918, 5606, 7095, 8093, 818, 1623, 2957, 3516, 4551, 6205, 6979, 8237, 201, 1528, 2781, 3710, 5038, 5901, 6996, 8185, 818, 2017, 3110, 4071, 4798, 6129, 6794, 7723, 914, 1648, 2957, 4018, 4888, 5968, 6604, 8185, 356, 1269, 3007, 3851, 4918, 5838, 6472, 7906, 859, 1684, 2473, 3363, 4522, 5892, 6889, 7732, 859, 1851, 2656, 3440, 4398, 5678, 6688, 7831, 935, 1684, 2473, 4145, 4287, 5550, 6889, 7717, 935, 1623, 2970, 3803, 4890, 6182, 6515, 7473, 555, 1623, 2806, 3803, 4387, 6160, 6584, 8147, 488, 1528, 2833, 3825, 5060, 5678, 7201, 7876, 488, 2017, 2914, 3893, 4624, 6139, 6584, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 356, 1633, 3144, 3866, 4890, 5635, 7201, 7476, 225, 1349, 2196, 3352, 4638, 6006, 6224, 7838, 334, 1108, 2181, 4078, 4192, 5444, 7146, 7669, 568, 2008, 2838, 3540, 4996, 5296, 6607, 7869, 572, 1553, 2422, 3671, 4648, 5616, 6899, 8151, 893, 1570, 2843, 4080, 4522, 5810, 7151, 7778, 614, 1573, 2887, 3824, 5024, 6201, 6270, 7537, 761, 2114, 2932, 3261, 4568, 5263, 6651, 7934, 1052, 1865, 2134, 4136, 4364, 5745, 6398, 7525, 1024, 1199, 2288, 3175, 4527, 5220, 6348, 8061, 100, 2095, 2361, 3557, 5125, 5365, 6525, 7476, 110, 1489, 2212, 3826, 5160, 5288, 7037, 7532, 980, 1146, 3150, 3807, 4662, 5866, 7184, 7462, 891, 1275, 2493, 3366, 4417, 5754, 7157, 7616, 1005, 1660, 2791, 4099, 5138, 5365, 6456, 8254, 1071, 1997, 2309, 3743, 4646, 5351, 7000, 7687, 831, 1523, 2772, 3697, 4800, 6026, 6980, 8113, 211, 1933, 3008, 3391, 4270, 5834, 6889, 8267, 304, 1932, 2957, 3188, 4343, 6211, 7132, 7949, 663, 1797, 3098, 3982, 4179, 5661, 6734, 7720, 424, 2125, 2980, 3226, 5053, 6211, 6408, 7631, 980, 2079, 2957, 4033, 5143, 6103, 7095, 7631, 789, 1939, 3007, 3740, 5166, 5792, 7024, 7723, 240, 2061, 3131, 3770, 4849, 6103, 7157, 8209, 240, 1756, 3131, 3391, 4216, 5493, 7069, 8237, 240, 1468, 3131, 3776, 4412, 5678, 6979, 7831, 240, 1623, 2833, 3391, 4715, 5493, 6889, 8245, 518, 1756, 2487, 3486, 4549, 5896, 6809, 8267, 153, 2058, 2380, 3448, 4549, 6001, 6723, 7887, 860, 2097, 2783, 3987, 4704, 5883, 6612, 8260, 956, 1675, 3064, 3595, 5166, 6182, 6996, 7782, 308, 1869, 2582, 3982, 4822, 5635, 6996, 7948, 211, 1700, 3064, 3975, 5159, 5493, 6996, 7303, 804, 1933, 2783, 3540, 5080, 6129, 6612, 7716, 308, 1218, 3043, 4108, 5061, 5635, 6668, 7570, 742, 1550, 2709, 3359, 4215, 6128, 6938, 7574, 489, 1345, 2582, 3770, 4728, 5527, 7084, 7795, 986, 1331, 2692, 3363, 4319, 5341, 6263, 7505, 845, 1118, 2196, 3351, 5098, 5918, 7188, 8033, 730, 1108, 3140, 3443, 4790, 5724, 6901, 7740, 296, 1695, 2941, 3512, 4545, 6005, 6889, 8081, 1070, 1349, 2844, 3326, 4364, 5263, 6507, 7618, 673, 2114, 2724, 3889, 4908, 5745, 7175, 7762, 1094, 1349, 2532, 3877, 4678, 5580, 7079, 8067, 756, 1171, 2856, 3394, 4206, 5596, 6398, 7809, 715, 1653, 3049, 3510, 5103, 5313, 6586, 7367, 750, 1349, 2941, 3851, 5151, 5537, 6938, 8164, 955, 1349, 2356, 3770, 4321, 5894, 6963, 7918, 955, 1424, 2383, 3374, 4818, 5397, 6740, 7835, 543, 1467, 2941, 3811, 4399, 5378, 6604, 8081, 225, 1898, 2335, 3550, 5150, 6175, 6986, 7492, 228, 1853, 2359, 4137, 4535, 5719, 7002, 8076, 488, 2097, 3065, 4145, 4583, 6110, 6604, 8237, 818, 1756, 2729, 4071, 4583, 5241, 7207, 8147, 488, 2017, 2806, 3914, 4624, 6139, 7226, 8147, 488, 1528, 2806, 3893, 4624, 6139, 6794, 8147, 488, 1528, 2914, 3893, 4624, 6139, 6794, 8196, 915, 2017, 2806, 3893, 4704, 5635, 6794, 8223, 105, 1851, 2833, 3595, 4549, 6085, 6604, 7715, 475, 1623, 2869, 3662, 4398, 5796, 7207, 7822, 935, 2056, 2781, 3914, 4583, 6103, 7085, 7631, 132, 1945, 3108, 3645, 4387, 6211, 6668, 8185, 955, 1675, 3143, 3987, 4387, 6063, 6612, 8195, 1033, 1983, 2493, 3176, 4477, 5279, 6708, 7312, 1067, 1205, 2688, 3505, 5003, 5244, 6563, 8087, 1067, 1669, 2231, 3378, 4195, 5777, 6927, 8189, 826, 1873, 2873, 3688, 4525, 5220, 6426, 8200, 1033, 1919, 2391, 3681, 4416, 6203, 6684, 7962, 776, 1146, 3001, 4145, 4433, 5360, 6378, 8081, 110, 1849, 2348, 4119, 5159, 6064, 7217, 7264, 373, 2094, 2980, 3156, 4782, 5235, 7154, 7355, 645, 1867, 3092, 3776, 4324, 6024, 6251, 7722, 833, 2073, 2905, 3961, 4792, 5796, 6308, 8213, 804, 2073, 2315, 3857, 4716, 5824, 6500, 8266, 833, 2065, 2970, 4068, 4536, 6131, 6651, 7311, 183, 2002, 2775, 4113, 4790, 5684, 7129, 7992, 225, 1129, 3068, 4092, 4877, 5778, 6515, 7868, 228, 1706, 2791, 3764, 4890, 6110, 6579, 8076, 225, 1949, 2359, 3276, 4687, 5584, 6338, 8253, 240, 1468, 2316, 3434, 4859, 6110, 7129, 7677, 256, 1468, 2473, 3413, 5138, 6175, 7152, 7563, 356, 1175, 2709, 3596, 4923, 5844, 7220, 7962, 356, 2097, 2803, 3595, 4387, 5788, 6584, 8046, 956, 1468, 2858, 3990, 4782, 5413, 6677, 8147, 401, 1280, 2860, 3866, 4583, 5811, 6786, 8179, 1071, 1233, 3076, 3391, 4588, 5678, 6612, 7992, 1057, 1499, 2263, 3960, 5090, 5444, 7114, 8099, 942, 1299, 2273, 3649, 5110, 5614, 6563, 8158, 217, 1369, 2848, 3395, 5135, 6002, 6573, 7611, 995, 1510, 2435, 3262, 4458, 5681, 6998, 8197, 620, 1397, 2156, 3913, 4365, 5821, 6315, 8210, 692, 1494, 3074, 3535, 4571, 5499, 6444, 8191, 139, 1527, 2327, 3979, 4995, 5734, 7076, 8206, 397, 1919, 2566, 3962, 4690, 6187, 6498, 7462, 103, 2067, 2373, 3986, 4993, 5925, 6482, 8082, 970, 1858, 2748, 3792, 4897, 5714, 6820, 7721, 390, 1653, 2252, 3963, 4343, 5650, 6338, 7823, 308, 1623, 2656, 4135, 4790, 5202, 6671, 7962, 510, 1992, 2656, 3391, 5007, 5963, 7058, 7303, 142, 1528, 2914, 4145, 4782, 5963, 6515, 7732, 818, 1992, 3007, 3803, 4704, 6139, 6996, 7876, 818, 2017, 2781, 3893, 4624, 5901, 7201, 8223, 818, 2017, 2914, 3893, 4624, 6103, 7124, 7806, 818, 2017, 2914, 3893, 4624, 6081, 7201, 7766, 818, 1648, 2164, 3825, 4798, 6186, 7226, 8147, 488, 1528, 2914, 3893, 4624, 6139, 6752, 8223, 915, 1684, 2858, 3825, 5079, 5981, 6794, 7485, 915, 1684, 2858, 3825, 5079, 5219, 6996, 7485, 915, 1684, 2858, 3914, 5079, 5534, 7006, 7831, 488, 1684, 2914, 3893, 4512, 5892, 7120, 7485, 488, 1622, 3065, 3825, 4512, 6139, 6996, 7766, 915, 1468, 2833, 3914, 4798, 6139, 6589, 8126, 555, 1684, 3064, 4168, 4681, 6139, 7226, 7766, 915, 1468, 2833, 3914, 4798, 6139, 7226, 8126, 915, 1622, 2970, 3391, 4870, 5635, 6996, 8126, 915, 1468, 2806, 3914, 4798, 5241, 7226, 8126, 488, 1528, 3117, 3391, 4798, 5635, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7226, 7766, 488, 1622, 2914, 3893, 4624, 6139, 6752, 7766, 488, 1528, 2833, 3893, 4624, 6139, 6589, 7766, 4, 2 ]

[ 1, 31, 16, 5, 54, 33, 51, 64, 66, 5, 53, 57, 53, 16, 54, 66, 5, 5, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 427, 1218, 2469, 3932, 4398, 5661, 7129, 7887, 767, 1509, 2542, 3256, 4954, 6160, 7098, 7557, 262, 1171, 2710, 3241, 5085, 5357, 6839, 7645, 1023, 1496, 2924, 3511, 4639, 5419, 6672, 7807, 1101, 1509, 3130, 3152, 4790, 5303, 7167, 7791, 304, 1248, 2519, 4006, 4593, 5865, 6698, 8231, 401, 1522, 2979, 4085, 4632, 5672, 6403, 8206, 223, 1196, 2365, 3880, 4795, 5835, 6615, 7537, 731, 1621, 2349, 3259, 4764, 6063, 7168, 7348, 511, 2019, 2759, 3648, 4723, 6066, 6789, 7689, 620, 1789, 2170, 3354, 4819, 5441, 6723, 7927, 831, 1695, 2352, 3989, 4825, 5814, 6854, 7966, 335, 2127, 2587, 4125, 5120, 5203, 6810, 7537, 401, 1522, 2542, 3226, 4896, 5954, 6762, 7705, 304, 1550, 2803, 3533, 5143, 6097, 7091, 8195, 1099, 1635, 3007, 3500, 4633, 6110, 6291, 7440, 915, 1876, 2880, 3550, 5020, 6146, 7218, 7865, 419, 2017, 3007, 3550, 4398, 5241, 6717, 8236, 789, 1876, 2370, 4138, 4727, 5625, 6889, 8061, 757, 1570, 2740, 3487, 5142, 5548, 7006, 8126, 195, 1570, 2585, 3183, 4863, 5677, 6579, 7732, 654, 1695, 2349, 3550, 4859, 5963, 7047, 7715, 240, 1961, 2833, 3407, 4859, 5719, 6338, 7865, 555, 1623, 2914, 3623, 4267, 5689, 6515, 8216, 789, 1961, 2554, 4006, 5138, 5981, 6752, 8236, 859, 2085, 2326, 3819, 5135, 5609, 6589, 7643, 684, 1939, 2582, 3918, 4890, 5378, 6830, 7776, 160, 1914, 2348, 4027, 5038, 6181, 7017, 7717, 408, 1989, 2750, 3191, 4667, 5297, 7114, 7896, 976, 1633, 2387, 4126, 4470, 5849, 6850, 8135, 391, 1674, 2591, 4078, 4333, 5894, 6348, 7580, 802, 1674, 2580, 3370, 5143, 6174, 7045, 7710, 271, 1348, 2506, 3179, 4668, 6133, 6399, 7678, 504, 1879, 2894, 3432, 4913, 6005, 6881, 8248, 504, 1933, 2966, 3616, 4766, 6164, 6670, 7768, 386, 1755, 2863, 3984, 4565, 5650, 6408, 8101, 643, 1807, 2838, 4133, 4350, 5761, 6263, 7476, 504, 1633, 2981, 3316, 4496, 5464, 6881, 8195, 663, 1807, 2261, 4112, 5088, 6175, 7205, 8178, 844, 1269, 2519, 4128, 5134, 6089, 6687, 8074, 776, 1623, 2750, 3502, 4554, 5550, 7203, 7999, 844, 2068, 2661, 3749, 4810, 5924, 6774, 7996, 776, 1333, 2979, 3732, 4881, 6080, 7173, 7578, 862, 1562, 2741, 3360, 5109, 5810, 7067, 8043, 1057, 1139, 2741, 3449, 4321, 5518, 7050, 8170, 610, 1630, 2429, 3165, 5134, 5360, 7098, 8173, 610, 1499, 2868, 3776, 4536, 5924, 6465, 7916, 1025, 1797, 2905, 4096, 4307, 5991, 6732, 7971, 390, 1915, 3021, 3990, 4918, 6195, 6709, 7919, 804, 2125, 2781, 3201, 4551, 6103, 6709, 8076, 153, 2098, 2746, 3361, 4867, 5610, 6515, 7664, 552, 1510, 2858, 3595, 4867, 5321, 7017, 7957, 488, 1623, 2838, 3516, 5058, 5892, 6612, 8076, 818, 1620, 2781, 3891, 5080, 5883, 7058, 8267, 818, 1620, 3117, 3982, 4888, 5612, 7084, 7766, 488, 1528, 3117, 3367, 5038, 6186, 7077, 8147, 488, 1622, 2914, 3825, 4624, 6139, 7124, 8223, 488, 1528, 2914, 3893, 5038, 5241, 7077, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3825, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 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, 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, 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, 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, 4, 2 ]

[ 1, 16, 28, 23, 66, 5, 31, 14, 66, 5, 66, 26, 53, 5, 76, 45, 52, 77, 16, 53, 78, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5493, 7226, 7715, 860, 2017, 2914, 3825, 4624, 5901, 7124, 8147, 484, 2060, 2941, 3543, 4181, 6149, 6972, 7706, 756, 1108, 2436, 3811, 4782, 5811, 6338, 7384, 640, 1301, 2346, 3472, 4345, 5809, 6271, 7941, 631, 1953, 2175, 3548, 4469, 6080, 6793, 7917, 401, 1318, 2429, 3619, 4563, 6187, 6674, 7786, 304, 1499, 2515, 3788, 4780, 5630, 7049, 7838, 304, 2068, 2944, 4171, 4343, 6203, 6736, 8080, 211, 1534, 2960, 3615, 5159, 5893, 7207, 7485, 571, 1773, 3144, 4171, 5061, 5654, 6830, 7260, 829, 1199, 2866, 3844, 4720, 5443, 7032, 8004, 472, 1364, 2934, 3865, 4495, 5410, 6370, 7585, 810, 1723, 2824, 3924, 4499, 6179, 7131, 8158, 581, 1723, 2869, 3587, 4576, 5776, 6441, 7832, 192, 1761, 2934, 3739, 4908, 5411, 6832, 7578, 137, 1761, 2618, 4160, 4963, 6054, 6606, 7736, 1001, 1889, 2170, 3283, 4331, 5333, 6982, 8190, 204, 1338, 2883, 3378, 4678, 6009, 6252, 7677, 262, 2050, 3091, 3495, 4369, 5379, 6726, 8086, 335, 1478, 3091, 3420, 4376, 5410, 6633, 7868, 731, 1972, 2586, 3507, 4697, 5590, 7085, 8197, 571, 1363, 2860, 3945, 5058, 5475, 6525, 8103, 1097, 2073, 2803, 3909, 4713, 5832, 7047, 8250, 915, 2000, 2960, 3932, 5166, 5968, 6752, 7723, 337, 1175, 2960, 3710, 4822, 6195, 6633, 8260, 132, 1874, 3095, 4114, 4589, 6205, 6588, 7631, 984, 1534, 3065, 4113, 4583, 5850, 7239, 8093, 899, 1620, 2792, 4124, 5183, 5963, 7132, 7715, 778, 1557, 2167, 3648, 4972, 5914, 6897, 7889, 1017, 1346, 2530, 3770, 4714, 6181, 6832, 7402, 441, 1346, 2835, 4155, 4268, 5787, 6892, 7921, 441, 1696, 2626, 3865, 4602, 5400, 6659, 8035, 805, 1960, 3040, 3856, 4662, 5965, 6230, 7492, 402, 1323, 2866, 3519, 4748, 5205, 6547, 7495, 556, 1471, 2725, 3700, 4647, 5624, 6442, 7848, 840, 1695, 3094, 3282, 4304, 5610, 7051, 7799, 136, 1708, 2353, 3273, 4717, 5966, 6349, 8182, 984, 1757, 2780, 3482, 4890, 5571, 6633, 8179, 935, 1992, 2899, 3856, 5073, 5892, 6953, 8237, 935, 1175, 2834, 3188, 5060, 6211, 6584, 7768, 186, 1175, 2984, 4018, 4782, 5241, 7217, 8147, 935, 1175, 2960, 4041, 4287, 6103, 6988, 8066, 935, 1622, 3006, 3891, 4980, 6081, 6752, 7806, 935, 1856, 2164, 4174, 4630, 5834, 7111, 7949, 865, 2127, 2988, 3550, 4539, 5368, 6909, 8227, 824, 2127, 2970, 3550, 4859, 6205, 6774, 8076, 195, 2118, 3141, 3798, 4387, 5520, 6749, 7260, 568, 2088, 2554, 3348, 4387, 5296, 6579, 8195, 757, 1199, 2792, 3518, 4606, 5474, 6847, 8130, 857, 1966, 2936, 3500, 4870, 5462, 6671, 8197, 897, 1378, 3033, 3941, 4641, 5710, 6964, 7711, 997, 1510, 2299, 3460, 4320, 6169, 6535, 8219, 793, 1503, 3047, 3661, 4543, 5857, 6625, 7296, 249, 1503, 2426, 3742, 4766, 5955, 6398, 8162, 492, 1503, 2635, 3729, 4717, 5902, 6442, 7442, 511, 1503, 2390, 3865, 4251, 6143, 6526, 7924, 640, 1503, 2751, 3521, 4410, 6179, 7074, 7697, 360, 1503, 2751, 3940, 4603, 6179, 7210, 8111, 737, 1503, 2260, 3654, 4812, 5442, 6529, 8036, 895, 1183, 2931, 3835, 4689, 6050, 7133, 7761, 875, 1935, 2869, 3907, 4539, 5255, 6422, 8133, 875, 1924, 2869, 3624, 4585, 5814, 6923, 8140, 137, 1393, 2869, 3267, 5031, 5657, 6994, 8194, 249, 1940, 2869, 3261, 4920, 5348, 6573, 8026, 247, 1818, 2869, 3651, 4956, 5323, 6923, 7365, 363, 2058, 3003, 3467, 4692, 5871, 6483, 7910, 1101, 2058, 2958, 3505, 4916, 5291, 6619, 7578, 386, 2085, 2700, 3770, 4443, 5290, 6919, 7638, 1029, 1302, 2565, 3757, 4338, 6118, 6856, 7437, 840, 2081, 2188, 4122, 4738, 6069, 6225, 8142, 1025, 1682, 2429, 3873, 4970, 5641, 6708, 7865, 767, 2072, 2436, 3630, 5143, 5613, 7130, 7918, 731, 1269, 2926, 3756, 5134, 5354, 6743, 8112, 318, 1280, 2810, 3709, 4426, 5413, 6885, 7852, 1033, 1834, 2429, 4152, 4545, 5437, 6921, 7607, 271, 1865, 3064, 3410, 5118, 5953, 7013, 8259, 650, 1591, 2678, 3271, 4690, 6018, 7207, 7676, 1025, 1773, 2436, 3201, 4998, 6222, 7207, 7481, 1025, 1773, 2436, 4067, 4828, 5930, 6515, 8085, 776, 1146, 2946, 3643, 5020, 6129, 6467, 7264, 650, 1791, 2374, 3749, 5053, 5796, 7160, 8266, 887, 1978, 2679, 4047, 4179, 5482, 6588, 8076, 895, 2019, 2525, 3536, 4732, 5648, 6373, 8173, 363, 1199, 3106, 3218, 5110, 5424, 6384, 7881, 462, 1682, 2482, 3870, 4688, 5577, 7194, 7253, 896, 2059, 2497, 4022, 5110, 5504, 6240, 8139, 1004, 1826, 2348, 3161, 4666, 5504, 6948, 7604, 1023, 1283, 3066, 3600, 4181, 5441, 7141, 8035, 807, 1402, 2188, 3235, 4921, 6105, 7094, 7997, 887, 1283, 2366, 3213, 4873, 5276, 6452, 7822, 613, 1692, 2128, 3495, 4538, 5706, 6884, 7717, 613, 1692, 2856, 4096, 4321, 6084, 7238, 7873, 582, 1630, 2172, 3929, 5194, 5968, 6224, 7873, 884, 1948, 2748, 3939, 4214, 5776, 6670, 8150, 807, 1566, 2805, 4147, 4765, 5584, 6790, 8072, 540, 1397, 2564, 4037, 4872, 6167, 6414, 7606, 528, 1411, 2547, 3915, 5114, 5745, 7053, 8240, 266, 1507, 2926, 4015, 5124, 6111, 6265, 7817, 547, 1407, 2638, 3487, 4346, 5893, 6269, 7627, 663, 1858, 2365, 3384, 4969, 5379, 6914, 7976, 216, 1640, 2946, 4152, 5183, 5664, 6668, 8126, 335, 1886, 2515, 4085, 4536, 5461, 7207, 7607, 391, 1244, 2282, 3615, 5159, 5965, 7160, 8262, 948, 1640, 3080, 3901, 4861, 5677, 6772, 7602, 335, 1244, 2340, 4017, 4903, 5515, 6415, 7677, 731, 1640, 2163, 3932, 5145, 5413, 7017, 7816, 767, 1886, 2661, 3652, 4379, 5485, 6872, 8195, 948, 2095, 2794, 4041, 5165, 6165, 6702, 7785, 335, 1886, 2944, 4041, 5098, 5641, 6688, 7421, 391, 1141, 2994, 3977, 4752, 5616, 6774, 7948, 767, 1545, 2515, 4085, 5153, 5212, 6709, 8209, 223, 1141, 2925, 3981, 4780, 5363, 7207, 7876, 731, 1141, 3006, 3937, 4379, 5204, 6810, 7631, 216, 1363, 2432, 4152, 5124, 6103, 7047, 7643, 913, 1596, 2901, 3855, 4588, 5963, 6966, 7447, 576, 1171, 2728, 3786, 4670, 5610, 7143, 7966, 576, 1924, 2920, 3421, 4529, 6007, 6578, 7369, 225, 1176, 2924, 3680, 5144, 5689, 6348, 7477, 228, 2002, 2783, 3879, 5038, 6123, 7162, 7476, 225, 1736, 2959, 4026, 5139, 5378, 6605, 7753, 317, 2002, 2573, 3905, 4513, 5563, 7100, 7485, 183, 1801, 2959, 3746, 5135, 5516, 6622, 8150, 4, 2 ]

[ 1, 33, 75, 35, 5, 51, 16, 54, 64, 48, 30, 44, 55, 5, 66, 73, 5, 43, 45, 53, 5, 31, 16, 5, 76, 20, 63, 53, 16, 64, 66, 5, 51, 20, 63, 54, 35, 5, 17, 75, 5, 31, 16, 5, 76, 45, 54, 66, 35, 5, 43, 11, 63, 67, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5493, 7077, 7485, 201, 1528, 3117, 3367, 4624, 5612, 7077, 8147, 419, 1623, 2941, 3827, 4716, 5767, 6515, 7563, 987, 1108, 2801, 3751, 4946, 5624, 6608, 7889, 769, 1816, 2487, 3751, 4834, 5801, 6963, 7398, 886, 1373, 2487, 4025, 4884, 5594, 6913, 7934, 997, 1202, 2987, 3807, 4597, 5506, 6899, 8140, 793, 1557, 2689, 4025, 4344, 5304, 7140, 7930, 271, 2059, 2313, 3991, 4751, 6059, 6570, 7375, 1005, 1150, 2207, 4154, 4415, 5915, 6478, 7480, 610, 1499, 2793, 3355, 5145, 6014, 6239, 7798, 613, 1499, 2340, 3495, 4487, 5780, 6849, 7866, 788, 2069, 2291, 3233, 4801, 5441, 6438, 7698, 840, 1141, 2991, 3205, 5051, 5766, 6997, 8006, 862, 1812, 2440, 3616, 4694, 5477, 6683, 7812, 1009, 1411, 2185, 3530, 5026, 6170, 6834, 7439, 556, 1758, 2251, 3349, 5036, 6217, 6684, 7510, 1080, 2011, 2810, 3771, 4352, 5538, 6717, 7980, 1024, 2059, 2678, 4126, 5065, 5835, 6524, 7359, 512, 1850, 2482, 4004, 4663, 5444, 6397, 7855, 1097, 1770, 3144, 3390, 4782, 5981, 7084, 7557, 935, 1120, 3144, 3680, 4622, 6025, 7019, 7816, 512, 1175, 2340, 4041, 5075, 6063, 7120, 8107, 484, 1175, 2959, 3206, 4980, 5901, 7098, 7992, 293, 1293, 3068, 3703, 4976, 5957, 7157, 7415, 579, 1198, 3046, 3917, 4458, 5918, 6454, 8253, 948, 1889, 2271, 3570, 4966, 5622, 6713, 8208, 335, 1886, 2953, 3771, 4816, 5809, 6787, 7469, 1006, 1453, 2165, 4153, 4324, 5606, 6840, 7420, 767, 2072, 2803, 3975, 5157, 5500, 7230, 7965, 335, 1120, 2429, 4152, 4681, 6070, 7086, 8236, 767, 1120, 2946, 3530, 4993, 5687, 7023, 7959, 304, 1356, 2629, 4145, 4374, 5204, 6709, 7481, 756, 1998, 2991, 4026, 4592, 5824, 6966, 7557, 240, 1910, 2730, 3162, 4541, 5454, 6860, 7563, 127, 1311, 2947, 3420, 4877, 5844, 7084, 8164, 127, 1400, 2316, 3605, 4630, 6157, 7084, 8066, 518, 2127, 2316, 3550, 4859, 6001, 7239, 8209, 654, 2106, 2473, 4125, 4859, 5493, 7090, 7831, 240, 1304, 2833, 4137, 5179, 6120, 6701, 7477, 240, 1304, 2316, 4113, 4870, 5844, 6677, 7664, 518, 1851, 2833, 3276, 4985, 5378, 6988, 8179, 183, 2052, 2946, 3595, 4398, 5210, 6740, 8126, 955, 1185, 2536, 3324, 4273, 6205, 6286, 8083, 335, 1248, 2710, 3871, 4717, 6147, 7133, 7761, 716, 1164, 2411, 4138, 4541, 5430, 7230, 7973, 271, 1550, 2741, 3456, 4539, 6180, 7114, 7605, 545, 1234, 3080, 3770, 4903, 5224, 6648, 7633, 582, 1865, 2940, 3227, 4337, 5490, 6814, 8061, 986, 1548, 2678, 4130, 4664, 5875, 6574, 7597, 986, 1777, 2515, 3575, 4664, 5863, 6651, 7728, 1047, 1948, 2874, 3394, 4470, 5388, 6224, 8078, 304, 1635, 2383, 3832, 4601, 5548, 6717, 7442, 1081, 2008, 2221, 3782, 5115, 5318, 6929, 8208, 1029, 1550, 2970, 4043, 4804, 5797, 6403, 7317, 582, 1504, 2872, 3394, 4321, 5874, 6850, 8132, 223, 1834, 2710, 3356, 4364, 5379, 6991, 8262, 545, 1227, 2464, 3546, 4343, 5787, 7229, 8253, 150, 1778, 2309, 3796, 4321, 6171, 6234, 7752, 1025, 1897, 2710, 3394, 4834, 6194, 6944, 7868, 150, 1255, 2728, 4145, 4419, 6051, 6614, 7753, 940, 1688, 2946, 3246, 4925, 5573, 6302, 8083, 401, 1721, 3144, 3440, 5088, 5883, 7220, 7570, 401, 1721, 2895, 3492, 4533, 5573, 6725, 8188, 512, 1919, 3135, 3932, 4630, 6128, 6752, 7256, 1097, 2068, 2798, 3987, 5080, 5901, 7084, 8267, 915, 1847, 3110, 4011, 4551, 6182, 7168, 8266, 568, 2098, 2941, 3827, 4859, 5903, 6486, 7992, 225, 1706, 2976, 3922, 4638, 6137, 7218, 8266, 225, 1147, 2554, 3550, 5142, 5586, 6525, 8128, 757, 1695, 2941, 4005, 5142, 5963, 7090, 7753, 959, 1586, 2944, 3826, 5115, 5844, 7162, 8238, 223, 1797, 2803, 3298, 5012, 5968, 6755, 7732, 1101, 1302, 2436, 3955, 4602, 5541, 7150, 7546, 784, 1758, 2309, 3582, 4278, 5433, 6348, 8150, 150, 1689, 2564, 4027, 5142, 6163, 7219, 7254, 1029, 1797, 2163, 3937, 5018, 5815, 6809, 8189, 150, 1682, 2737, 3915, 4663, 5404, 6935, 7383, 1025, 1294, 2639, 3201, 4946, 6032, 6270, 7365, 1029, 2079, 2520, 3937, 4282, 5363, 7069, 7936, 104, 1141, 2559, 3426, 4993, 5616, 6859, 7542, 104, 1510, 2675, 3521, 4212, 5761, 7220, 8131, 113, 1510, 2222, 3859, 4574, 5474, 6938, 8108, 487, 1324, 2487, 3372, 5069, 5482, 7222, 7480, 465, 1831, 2555, 3770, 4364, 6137, 6816, 7492, 1052, 1640, 2309, 3436, 4539, 5684, 6700, 8039, 319, 1561, 2353, 3329, 4935, 5526, 6301, 7666, 1040, 1732, 2751, 3268, 4226, 5231, 6810, 7809, 840, 1692, 2751, 3298, 4709, 5806, 6554, 7999, 840, 1692, 2346, 3187, 4727, 5221, 6911, 7954, 840, 1924, 2987, 3552, 4229, 5982, 6860, 7587, 610, 1754, 2847, 3452, 4606, 6007, 6997, 7664, 887, 1881, 3053, 4145, 4762, 5797, 7084, 8240, 887, 2053, 2750, 3821, 4985, 5485, 7014, 8245, 887, 1306, 2436, 3352, 4780, 5765, 6884, 7341, 887, 2053, 2210, 4027, 4802, 5534, 7033, 7570, 887, 2053, 2210, 3660, 4802, 6146, 7023, 7996, 887, 1227, 2678, 3440, 5153, 5204, 6979, 8195, 1090, 1773, 2944, 3671, 4861, 5968, 6302, 7806, 288, 1467, 2330, 3472, 4870, 5963, 6979, 7720, 484, 1534, 2949, 3932, 5159, 5963, 7239, 7723, 818, 1467, 2164, 4174, 5058, 6129, 6709, 7421, 1099, 2000, 2991, 3516, 4630, 6186, 7084, 8185, 914, 1791, 3008, 3945, 5159, 5883, 7201, 8223, 555, 1791, 2833, 4018, 4822, 5385, 6988, 8179, 859, 2111, 2991, 4006, 4512, 5767, 6988, 7570, 617, 1586, 2944, 4166, 5106, 5534, 6589, 8164, 617, 1289, 2340, 3277, 4555, 6149, 6776, 7723, 105, 2106, 2941, 3374, 4870, 6149, 7221, 7962, 617, 1289, 2340, 3550, 4870, 5385, 7000, 8188, 555, 1490, 2918, 3550, 5157, 5580, 6988, 8126, 859, 2002, 3143, 3374, 5159, 5296, 7129, 8236, 555, 2111, 2858, 4006, 4681, 5987, 6988, 8093, 555, 1876, 2858, 3891, 4387, 5586, 6688, 8164, 555, 2111, 3065, 3374, 4583, 5241, 6752, 7766, 555, 2111, 2858, 3911, 4993, 5385, 7160, 7826, 555, 2111, 2858, 4166, 5166, 5981, 7129, 7723, 555, 2111, 3064, 3893, 5060, 5890, 6988, 7485, 915, 2111, 2806, 3893, 4583, 5767, 6589, 8196, 488, 2111, 3065, 4071, 4624, 5534, 6794, 8223, 142, 1528, 2806, 3825, 4624, 6186, 7124, 8223, 142, 1528, 2806, 3825, 4704, 6186, 7077, 8223, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4798, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4366, 6139, 6794, 8196, 488, 1528, 3065, 4170, 4624, 5635, 6794, 8179, 211, 1668, 3110, 3990, 4366, 5694, 6972, 8237, 459, 1698, 2868, 3922, 4940, 5778, 7219, 7799, 769, 1402, 2291, 3273, 5014, 5610, 6734, 8088, 443, 1926, 2901, 3356, 4499, 5880, 6838, 8165, 608, 1838, 2137, 3333, 4755, 5592, 6726, 7834, 784, 1469, 2260, 3351, 4525, 5955, 6243, 7817, 104, 2019, 2748, 3972, 5085, 5819, 6848, 7555, 1016, 2107, 2519, 3235, 5010, 5794, 7002, 7641, 1025, 1893, 2748, 3468, 4601, 6123, 6430, 7607, 424, 1770, 2858, 3467, 4752, 5694, 6771, 7707, 1090, 1146, 2820, 4166, 4980, 6070, 6966, 7879, 424, 2024, 2947, 4114, 4533, 5515, 7132, 8195, 663, 1945, 3006, 3908, 5165, 6129, 6953, 8064, 831, 1778, 2254, 3681, 4589, 6014, 6809, 8179, 610, 1335, 2231, 3289, 4589, 5858, 6771, 7476, 938, 2050, 2516, 4146, 4415, 5776, 6949, 8085, 344, 2071, 3019, 3684, 4849, 5588, 6572, 7983, 864, 1440, 2129, 3979, 4705, 5411, 6521, 7831, 778, 1156, 2506, 3419, 4274, 5512, 7031, 7604, 536, 1469, 2400, 3259, 4274, 5512, 7005, 8113, 988, 1418, 2605, 4079, 4176, 5454, 6710, 7704, 936, 1193, 2173, 3781, 4938, 6176, 6923, 8143, 880, 1674, 2977, 3717, 4404, 5454, 6267, 8082, 247, 1877, 2311, 3968, 4214, 5636, 7229, 8057, 247, 1667, 2311, 3968, 4941, 5729, 6784, 8220, 993, 1512, 2518, 3652, 5031, 5643, 6947, 7978, 993, 2035, 2518, 3206, 4352, 5783, 7198, 7274, 610, 1212, 2840, 3517, 4925, 6066, 6851, 7383, 1081, 1255, 2508, 3240, 4533, 6174, 6579, 7528, 150, 2035, 2943, 3407, 5085, 6181, 6436, 8209, 150, 1255, 3126, 3929, 5088, 5981, 6723, 8054, 1025, 1858, 3145, 3885, 4530, 6050, 7207, 8054, 1029, 1507, 2709, 3154, 5074, 5460, 7025, 7843, 840, 2059, 2933, 3539, 5116, 6216, 6932, 8049, 271, 1496, 2261, 4150, 4464, 5570, 6224, 7790, 373, 1299, 2642, 3309, 4993, 6028, 7197, 8140, 225, 1494, 2339, 3426, 4555, 6118, 6772, 8168, 225, 2127, 2976, 3788, 4351, 6104, 6962, 7960, 654, 1806, 2860, 3225, 4836, 5565, 7103, 7838, 240, 1488, 3008, 3188, 4398, 5587, 7149, 7664, 789, 1777, 2167, 3855, 4681, 5901, 6338, 8076, 956, 1851, 3007, 4071, 5038, 5661, 6604, 8267, 419, 2068, 3095, 3914, 5166, 5832, 7232, 8179, 818, 1622, 2991, 3226, 4859, 6081, 7201, 8147, 915, 1528, 2803, 4011, 4704, 6186, 7084, 8237, 1094, 2098, 2340, 3779, 4952, 5694, 6955, 7531, 293, 1833, 2175, 3662, 4936, 5260, 6998, 7615, 579, 2127, 2560, 3440, 4877, 5981, 6414, 7567, 390, 1585, 2669, 3987, 4276, 5425, 6750, 8207, 1071, 1236, 2231, 3677, 5062, 5698, 6269, 7279, 1067, 1982, 2786, 4139, 4672, 5884, 6859, 8247, 83, 1708, 3112, 3325, 5124, 5668, 6572, 8037, 344, 1674, 2748, 3288, 4887, 6067, 6693, 7454, 277, 2009, 2506, 3421, 4472, 6121, 6669, 7621, 1001, 1166, 3146, 3979, 4314, 6002, 6679, 7756, 778, 1674, 2873, 3688, 4678, 5369, 6262, 8202, 840, 1469, 2476, 3605, 4321, 6099, 6793, 7480, 150, 1775, 2173, 3659, 4616, 6002, 6436, 8271, 826, 1955, 2882, 4015, 4195, 5424, 6617, 7898, 1057, 1672, 3149, 3281, 5003, 5716, 7232, 8129, 1057, 2053, 3092, 3605, 5050, 5209, 7059, 8069, 424, 1333, 2389, 3426, 4589, 5534, 7232, 7264, 887, 1881, 2860, 3870, 4782, 6103, 6470, 7264, 1081, 1499, 2727, 3918, 4954, 5804, 6938, 7876, 610, 1499, 2915, 4151, 5088, 5908, 6774, 7735, 1057, 1670, 2429, 3233, 4955, 6141, 6791, 7587, 271, 2065, 2677, 3928, 5020, 6201, 7214, 7303, 386, 1759, 3121, 4166, 5088, 5548, 6966, 7583, 504, 1294, 2678, 3819, 5078, 5904, 6979, 7768, 643, 1145, 2424, 3975, 4588, 5890, 6700, 7593, 887, 1386, 2241, 3283, 5095, 6163, 7131, 8137, 150, 1459, 2881, 3767, 4585, 5641, 7160, 7248, 1057, 2056, 2737, 3979, 4801, 6084, 7053, 7428, 610, 1871, 2688, 3793, 5124, 5946, 6658, 7732, 1056, 2125, 2838, 3945, 4533, 6103, 7058, 7957, 211, 2063, 2989, 3649, 4757, 5796, 6752, 7838, 684, 2046, 2925, 4113, 4276, 5802, 7058, 7876, 804, 2063, 2167, 4113, 5061, 5963, 6515, 8237, 1056, 1675, 2880, 4068, 4918, 5534, 7149, 8267, 308, 1523, 3008, 4113, 4470, 6195, 6988, 7782, 923, 1939, 2398, 3789, 4872, 5462, 6350, 8174, 826, 2048, 2137, 4140, 4330, 6217, 6719, 7394, 993, 2048, 2137, 3890, 4687, 6118, 6308, 8248, 993, 1469, 3126, 3838, 4709, 5598, 6580, 8111, 608, 1935, 2985, 3600, 4181, 5966, 7225, 8092, 1025, 1703, 2553, 3420, 4709, 6018, 6918, 8224, 1025, 1146, 2728, 3669, 5182, 5687, 6876, 8080, 288, 2064, 2932, 4164, 5153, 5911, 6566, 7485, 1090, 1534, 2834, 3866, 4215, 6007, 6467, 7908, 1025, 1945, 3112, 3928, 4782, 5499, 6938, 8266, 826, 1269, 2968, 3999, 5106, 5589, 7232, 7288, 443, 1655, 2591, 3991, 5111, 5745, 7126, 7954, 462, 1918, 2503, 3678, 4773, 6130, 7040, 7756, 880, 1942, 2987, 3349, 4946, 6028, 6532, 8100, 487, 1403, 2421, 3277, 5188, 5925, 6984, 7393, 831, 1832, 3080, 3562, 4931, 5898, 6388, 7846, 1090, 1350, 3098, 3410, 4573, 5413, 6884, 7256, 390, 1791, 2989, 4145, 4435, 5942, 7095, 7806, 552, 1675, 3006, 4145, 5104, 5661, 7201, 7570, 489, 1809, 2867, 3822, 4949, 5660, 6830, 7311, 448, 1510, 2232, 3807, 5120, 5527, 6598, 7476, 759, 1171, 2902, 3970, 4364, 5608, 6890, 7475, 895, 1555, 2389, 3956, 4529, 5257, 6745, 7856, 150, 1324, 3026, 3878, 4683, 6032, 6260, 7615, 1029, 1628, 2254, 3809, 4328, 6075, 7050, 7919, 1005, 1402, 3044, 3761, 4418, 6005, 7048, 7371, 887, 1613, 2559, 3821, 4529, 5801, 6879, 7450, 1033, 1600, 2797, 3877, 4440, 5345, 6604, 8188, 833, 1523, 2505, 3413, 4991, 5701, 6630, 7549, 405, 1939, 2493, 3496, 4716, 5641, 7171, 7528, 857, 2063, 3147, 3314, 4509, 5487, 6674, 7865, 373, 1490, 2598, 4036, 4597, 5905, 6708, 8095, 857, 1183, 3075, 4168, 4918, 5296, 6550, 7250, 373, 1786, 2858, 3513, 4449, 5313, 6687, 8061, 1049, 1318, 2814, 3394, 4773, 5771, 7026, 7881, 113, 1404, 2309, 3880, 5053, 5569, 6822, 8256, 113, 1704, 3040, 3748, 4876, 5636, 6568, 8252, 247, 1609, 2231, 3785, 4506, 5880, 6670, 8152, 774, 2050, 2348, 3268, 5156, 6118, 6537, 7702, 895, 1697, 2269, 4137, 5152, 6010, 6846, 8167, 494, 1660, 2316, 4053, 4653, 5938, 6426, 7957, 569, 1757, 2445, 3356, 4248, 6067, 6524, 8149, 404, 1318, 3132, 3498, 4927, 5955, 7158, 8129, 113, 1743, 2655, 3258, 5151, 5915, 6839, 7795, 1057, 1658, 2449, 3936, 4332, 5304, 6525, 7829, 692, 1603, 2260, 3373, 4415, 5369, 7018, 7488, 235, 1499, 2895, 4147, 5071, 5999, 6565, 7516, 770, 2036, 2896, 4150, 4261, 6026, 6502, 7703, 776, 1147, 2975, 3361, 4652, 6137, 6392, 7540, 610, 1609, 2801, 4152, 4457, 5548, 6454, 7768, 304, 1993, 2232, 4146, 4993, 5534, 6869, 8049, 804, 1370, 3095, 3932, 4374, 6205, 7023, 8213, 804, 2041, 2542, 4152, 4713, 5968, 6515, 8179, 256, 1475, 2474, 3240, 5104, 5216, 7232, 8066, 789, 2046, 2554, 3623, 4398, 6182, 6776, 8195, 256, 2030, 3110, 3623, 4737, 5630, 7129, 7494, 256, 2106, 2473, 3233, 5151, 6076, 7095, 8083, 256, 1750, 2729, 4006, 4859, 5219, 7120, 7557, 256, 1851, 2839, 3873, 4859, 5219, 7217, 7715, 518, 2030, 2709, 3487, 4287, 5503, 6529, 8076, 240, 1345, 2959, 4113, 4716, 5890, 6486, 8126, 240, 1345, 2156, 3933, 4888, 6137, 6840, 7547, 475, 1304, 3040, 3761, 4918, 5892, 6313, 7732, 186, 1490, 2659, 4166, 5135, 6137, 7069, 8061, 797, 2017, 2914, 3680, 4704, 5515, 6752, 8237, 860, 2017, 2914, 3893, 4704, 5901, 6996, 7766, 860, 1528, 2806, 3893, 4704, 6139, 7124, 7766, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 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, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 488, 1648, 2833, 4071, 4624, 6139, 6589, 8196, 488, 1648, 2914, 3893, 4798, 5635, 6752, 8223, 488, 1648, 2914, 3891, 4798, 6139, 6752, 8080, 488, 1648, 2914, 3893, 4870, 6186, 6677, 8237, 488, 1648, 2914, 4071, 4870, 5635, 6677, 7485, 4, 2 ]

[ 1, 26, 5, 14, 53, 5, 65, 69, 63, 5, 31, 14, 66, 5, 76, 33, 54, 5, 65, 48, 5, 76, 33, 54, 66, 5, 16, 76, 39, 5, 31, 33, 63, 5, 76, 11, 78, 5, 62, 48, 64, 5, 16, 54, 30, 5, 51, 17, 53, 41, 35, 66, 5, 44, 54, 5, 31, 14, 66, 5, 51, 11, 66, 16, 50, 5, 63, 73, 53, 5, 5, 3, 818, 2073, 3117, 4145, 4762, 5901, 7047, 8260, 373, 1560, 2352, 3692, 4691, 5792, 7112, 7689, 1070, 1865, 2687, 3536, 5124, 5365, 6592, 8033, 584, 1199, 3047, 3835, 4741, 6086, 6340, 7966, 360, 1490, 2706, 3576, 4232, 5468, 6461, 7412, 810, 1669, 2757, 4154, 4999, 6086, 6224, 8062, 966, 1706, 2390, 3741, 5123, 5750, 7147, 7785, 310, 1808, 3003, 4007, 4365, 5656, 6472, 7909, 810, 2008, 2587, 3181, 4851, 5293, 6244, 7536, 810, 1283, 3029, 4130, 4927, 5621, 6248, 7633, 862, 1397, 3013, 3690, 5040, 5955, 6557, 8077, 672, 1695, 2810, 3371, 4664, 6216, 6911, 7875, 723, 1695, 2355, 3421, 4195, 5517, 6816, 8033, 1040, 1412, 2751, 3218, 4218, 5387, 7102, 8009, 462, 2070, 2751, 3764, 4213, 5930, 6807, 8240, 462, 1695, 2988, 3764, 5074, 5512, 6910, 8263, 536, 1918, 2692, 3967, 4525, 6037, 6768, 7633, 536, 1296, 2506, 3380, 5052, 5614, 7130, 8137, 1025, 2104, 2387, 4154, 5032, 5952, 6871, 8025, 826, 1255, 2946, 3691, 4894, 6183, 6614, 7702, 826, 1771, 2250, 3605, 5050, 5475, 7086, 7284, 150, 2048, 2740, 3233, 4417, 5620, 6777, 7582, 1011, 1403, 2536, 4124, 4382, 5765, 6603, 7920, 878, 1586, 2365, 3232, 4198, 5597, 7012, 7422, 568, 1112, 2795, 3430, 4870, 5863, 7024, 7481, 334, 1286, 2251, 3276, 4459, 5548, 7006, 7908, 334, 1286, 2345, 4145, 4918, 5918, 6348, 8188, 334, 1831, 2860, 3994, 4588, 5503, 7114, 8240, 568, 1623, 3018, 3233, 4379, 5350, 6376, 7396, 568, 1706, 2904, 3819, 4918, 5413, 6604, 7571, 568, 1706, 2454, 3470, 4622, 6129, 7218, 7715, 334, 1564, 2181, 3476, 5142, 6175, 6430, 8012, 568, 1979, 2683, 3851, 4762, 5296, 7232, 7393, 568, 2127, 3147, 3470, 4522, 5544, 6331, 7275, 568, 1633, 2946, 3532, 4606, 6160, 6280, 7542, 568, 1623, 3139, 3798, 4459, 5963, 6752, 7838, 568, 1750, 3139, 4096, 4638, 5515, 6856, 8080, 568, 1286, 3017, 3855, 4700, 5550, 6291, 7476, 757, 1357, 2172, 3407, 5078, 5998, 7087, 8118, 1047, 2063, 2783, 4006, 4877, 5942, 7239, 8066, 767, 1234, 2151, 3961, 4334, 6085, 6988, 7262, 504, 1586, 2293, 3232, 4700, 6132, 7230, 7557, 314, 1763, 2357, 3680, 4542, 5441, 6494, 7537, 1029, 1860, 2250, 3602, 5124, 5700, 6813, 7996, 150, 1317, 3031, 3848, 5151, 5618, 7037, 7905, 784, 1897, 2207, 3554, 4643, 5430, 6621, 7821, 150, 1399, 2207, 3998, 4572, 6119, 7007, 7473, 1029, 1777, 2923, 3645, 4783, 5899, 6612, 7917, 150, 1317, 2727, 3394, 5124, 5946, 6622, 7462, 1029, 1858, 3037, 3420, 4643, 5815, 7100, 8006, 150, 1385, 2207, 4137, 4722, 5395, 6507, 7787, 784, 1345, 3085, 3438, 4751, 6063, 6422, 7927, 266, 1582, 2911, 3674, 4753, 6038, 7181, 8247, 150, 1894, 2690, 4102, 4717, 5905, 6736, 7684, 725, 1582, 3085, 3410, 5196, 5333, 7152, 8145, 504, 1655, 2479, 3605, 5023, 5440, 6540, 7462, 693, 1531, 2708, 3751, 4641, 5435, 6603, 7355, 1029, 1302, 2491, 3471, 4205, 5641, 6803, 8183, 1081, 1543, 2515, 3251, 5042, 5699, 6910, 7728, 288, 1499, 2163, 3645, 5097, 5219, 7127, 7587, 288, 2009, 2163, 3448, 5117, 5953, 7087, 7641, 940, 2009, 2938, 3599, 4335, 5425, 7103, 7800, 923, 2009, 2565, 3201, 5000, 6207, 6663, 7466, 1067, 1826, 2312, 3398, 5169, 6187, 6281, 8062, 884, 1507, 2207, 3979, 5042, 5585, 7038, 7386, 884, 1669, 3032, 3922, 4321, 5843, 6680, 8002, 1084, 1832, 2847, 4168, 4773, 6002, 6477, 8193, 308, 1869, 2729, 4114, 4918, 5978, 6393, 7593, 945, 1933, 2949, 4174, 4782, 5901, 6709, 7723, 935, 1874, 3064, 3516, 4822, 5340, 6709, 7876, 935, 1998, 2996, 4171, 4782, 5219, 7239, 8237, 935, 1620, 3095, 3891, 5038, 6014, 6988, 7876, 1097, 1620, 3008, 3201, 4867, 6211, 6752, 7949, 579, 1965, 2803, 4097, 5150, 5548, 7111, 8236, 1102, 1723, 2998, 3929, 4787, 6063, 6256, 7985, 716, 2035, 2492, 4171, 4460, 6011, 6512, 7886, 536, 1208, 2923, 3584, 4671, 5685, 6870, 7705, 536, 1918, 2868, 3259, 5031, 5709, 6903, 7954, 113, 1510, 2642, 3968, 4565, 5563, 7100, 7476, 1057, 1397, 3005, 3911, 4575, 5639, 6613, 8047, 104, 1717, 2429, 3963, 4429, 6152, 6871, 8016, 390, 1350, 2710, 3915, 4913, 5740, 6980, 7811, 105, 2041, 2432, 4115, 5104, 5981, 6850, 7899, 334, 1199, 3028, 3885, 4192, 6149, 7127, 7575, 334, 1199, 2181, 3838, 4918, 5716, 6903, 7799, 225, 1564, 2944, 4026, 5135, 5656, 6607, 7776, 334, 1958, 2988, 3995, 5179, 5930, 6605, 7826, 568, 1958, 2904, 4046, 4916, 5400, 6280, 8165, 568, 1286, 2904, 4168, 4225, 5901, 6338, 8267, 356, 1147, 2709, 4144, 4980, 5678, 6348, 7317, 216, 1561, 2293, 3566, 5012, 5865, 6607, 7664, 716, 1164, 2492, 3458, 5124, 6002, 6668, 8106, 386, 1388, 2817, 3669, 4321, 6066, 6254, 7920, 504, 1732, 2795, 3904, 4374, 6085, 6911, 7773, 271, 1915, 2803, 3918, 4985, 5853, 6592, 7401, 223, 1721, 2163, 3970, 5088, 6096, 7147, 8232, 150, 1407, 2655, 4066, 5012, 5352, 6750, 8080, 610, 2048, 2998, 4171, 4281, 6007, 6938, 8066, 1025, 1867, 2771, 4171, 5096, 6205, 6891, 7677, 1025, 1867, 2839, 3747, 4872, 5678, 6736, 7895, 1029, 2117, 2998, 4130, 4420, 5990, 6711, 7393, 936, 1582, 2520, 3743, 5141, 5844, 6676, 7959, 536, 1725, 2956, 3169, 4469, 5212, 6904, 7542, 363, 1865, 2503, 4014, 4368, 5212, 6352, 7542, 840, 1510, 2536, 3276, 4527, 6135, 6850, 8270, 1057, 1630, 3055, 3828, 4636, 5240, 7181, 7248, 610, 1200, 2369, 4096, 4966, 5344, 7086, 7648, 643, 1717, 2293, 3169, 4586, 6136, 7007, 7677, 1081, 1981, 2709, 3643, 4189, 5259, 7065, 7920, 386, 1672, 3026, 3420, 4918, 5950, 6771, 7393, 864, 1682, 2534, 3193, 4557, 6016, 6470, 8013, 938, 1278, 3090, 3575, 4985, 5825, 6796, 7843, 938, 1582, 2133, 3829, 4816, 6128, 6493, 7690, 970, 1278, 2198, 3410, 5003, 5711, 6797, 7604, 504, 1325, 3119, 4145, 4805, 6164, 6633, 7807, 678, 1548, 2679, 4145, 4592, 6063, 7237, 7677, 211, 2001, 2194, 3920, 4713, 5883, 6265, 7899, 940, 1399, 2984, 3909, 5166, 5832, 6302, 8245, 1025, 1919, 2956, 4098, 4447, 6123, 6979, 8245, 643, 1919, 2275, 3240, 4292, 5796, 6637, 7379, 536, 1318, 2423, 3167, 4546, 6096, 6265, 7379, 536, 1655, 2241, 4014, 4763, 5443, 6345, 8163, 994, 1655, 2128, 3233, 4440, 5624, 6458, 7881, 994, 1721, 2436, 3332, 4346, 5512, 6680, 7702, 994, 1721, 2487, 4007, 4602, 6135, 6638, 7921, 994, 1932, 2487, 3572, 4451, 6135, 7094, 7673, 1038, 1942, 2566, 3975, 4565, 6119, 6737, 7329, 876, 1942, 3029, 3332, 5161, 5629, 7184, 8037, 487, 1609, 2210, 3338, 4876, 6034, 6497, 7838, 807, 1189, 2366, 3218, 4985, 5715, 6669, 8139, 1036, 2079, 2717, 3224, 4763, 6034, 6426, 7531, 862, 1550, 2974, 3812, 4770, 6002, 6569, 7318, 668, 1808, 2520, 4007, 4371, 6119, 6624, 7510, 620, 1942, 2593, 3442, 5161, 5943, 6614, 8169, 487, 1327, 2258, 3573, 5151, 5292, 7229, 7737, 807, 1930, 2692, 3521, 4364, 5956, 6669, 7861, 807, 1118, 3116, 3413, 4876, 5656, 6444, 8005, 1080, 1732, 2346, 3449, 4942, 5640, 6348, 7516, 1040, 1118, 2787, 3741, 4354, 6117, 6609, 7535, 1038, 1808, 2436, 3560, 4678, 5478, 6238, 7304, 952, 1942, 2129, 3300, 5188, 5782, 6578, 7515, 1056, 1581, 2327, 4147, 5169, 5792, 6732, 7367, 804, 1186, 2941, 3352, 5080, 5981, 7152, 7908, 956, 1876, 2947, 4114, 4782, 5678, 7120, 7782, 818, 2041, 3117, 4170, 5080, 6195, 7120, 7949, 935, 1992, 3064, 3440, 4681, 5635, 6515, 7485, 935, 1847, 2989, 4166, 4912, 6205, 6786, 7485, 956, 1992, 2925, 3909, 4624, 5832, 7218, 8147, 935, 1886, 2167, 3931, 5159, 6205, 6972, 7717, 859, 1608, 2989, 3827, 4782, 5678, 6515, 7485, 859, 1695, 2781, 4171, 5106, 5981, 6515, 7876, 555, 1623, 2858, 3827, 4615, 5436, 7218, 7865, 859, 1750, 2833, 4006, 4512, 5436, 6810, 7485, 859, 1684, 3064, 3391, 4387, 5241, 7006, 7723, 555, 1695, 3150, 4068, 4681, 6182, 7077, 7723, 859, 1695, 2860, 4006, 4890, 5901, 6988, 8237, 555, 1695, 3150, 4018, 5038, 5981, 6810, 7716, 859, 1750, 2554, 3827, 4762, 5811, 6988, 7723, 555, 1623, 3021, 3391, 4798, 5550, 7077, 8080, 859, 1750, 2970, 3391, 4870, 5635, 7120, 7831, 555, 1648, 2858, 4068, 5079, 5548, 7077, 8076, 915, 1147, 2858, 4145, 4583, 5515, 6996, 8076, 555, 1468, 2970, 3827, 4624, 5635, 7077, 8196, 915, 1622, 2164, 3914, 4512, 5241, 6752, 7715, 555, 1147, 2970, 3391, 4624, 6163, 6794, 7831, 555, 2017, 2970, 3391, 4681, 5635, 6584, 7715, 915, 1622, 3021, 3825, 4512, 5635, 6996, 8223, 915, 1622, 3021, 3391, 4387, 5635, 7124, 7723, 915, 1684, 3021, 3825, 4624, 5534, 7124, 7723, 818, 1648, 2806, 3893, 4798, 6137, 7124, 7723, 488, 1528, 2833, 3893, 4624, 6139, 6589, 8080, 488, 2017, 3065, 3825, 4624, 5635, 7226, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4798, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4822, 6081, 7124, 7766, 488, 2017, 3065, 3825, 4798, 5635, 6786, 7949, 488, 1467, 2164, 4108, 4798, 5340, 6786, 8196, 488, 1622, 3065, 3990, 4624, 5635, 6794, 7766, 488, 1528, 3065, 3825, 4624, 5883, 6794, 7949, 915, 1304, 3064, 4071, 4555, 5678, 6996, 7715, 915, 1622, 3065, 4108, 4798, 5832, 7207, 7715, 401, 1797, 2957, 4145, 4822, 5241, 6979, 7723, 160, 1284, 3064, 3917, 4867, 6181, 7095, 7717, 160, 1707, 2436, 4026, 4215, 5657, 6623, 7607, 660, 1350, 2487, 4103, 4844, 5526, 6748, 8197, 1019, 1489, 2487, 3483, 4708, 6002, 6298, 7864, 121, 1521, 2487, 3741, 4467, 5787, 6768, 8178, 664, 1808, 2327, 3187, 4985, 5341, 6474, 8211, 137, 1942, 2484, 3358, 4205, 5212, 6424, 7975, 646, 1283, 3066, 3332, 4543, 6140, 7135, 7365, 1008, 1887, 2188, 3366, 4773, 5454, 6308, 7549, 993, 1682, 2207, 3169, 4459, 5558, 6466, 8230, 1029, 1213, 2923, 4086, 4404, 5623, 7015, 7473, 1029, 1448, 2482, 3643, 5169, 5745, 6953, 7689, 1029, 1582, 2968, 3908, 4581, 5870, 6763, 7772, 936, 1871, 2361, 3187, 4371, 5272, 6866, 7815, 936, 1969, 2301, 3751, 4928, 5454, 6308, 8235, 936, 2059, 2658, 3751, 4843, 5728, 6319, 7679, 996, 1296, 2429, 4137, 4604, 6201, 6838, 7675, 143, 1821, 2893, 3704, 4974, 5492, 7094, 8262, 225, 2083, 2562, 3891, 4996, 5749, 6340, 7846, 225, 1707, 2791, 4030, 4872, 5925, 7099, 7441, 225, 2030, 2989, 3798, 4890, 5684, 6905, 8099, 356, 1407, 2858, 3543, 5167, 6175, 7246, 7868, 956, 2068, 3135, 3391, 4374, 5661, 6899, 7732, 956, 1856, 2554, 3886, 5165, 5677, 7168, 8245, 818, 1620, 2989, 4011, 4782, 5677, 6979, 7806, 419, 1620, 2729, 3391, 4630, 6129, 6786, 7806, 1097, 1648, 2925, 3188, 4551, 6195, 6794, 8147, 555, 1648, 2554, 4068, 5160, 6081, 6589, 7677, 475, 1622, 2806, 4026, 5159, 5963, 6786, 7806, 120, 1597, 3075, 3746, 4364, 5610, 6485, 7717, 757, 1573, 2542, 3160, 4437, 5245, 7041, 8054, 495, 1272, 2210, 3230, 4384, 6117, 6486, 7906, 160, 1206, 2717, 3996, 4536, 5865, 6725, 8078, 318, 2102, 2422, 3355, 4413, 6118, 7079, 8025, 769, 1831, 2466, 3355, 4935, 5610, 6657, 7751, 397, 1982, 2593, 3623, 4954, 5424, 6592, 8146, 722, 1954, 2377, 3332, 5072, 5826, 7114, 8012, 545, 1668, 2925, 3426, 4413, 6148, 6905, 7273, 149, 2013, 2794, 3570, 5083, 6116, 7010, 7673, 582, 1281, 3053, 3316, 5088, 5658, 6923, 8061, 767, 1905, 3053, 4006, 4287, 5548, 6889, 7706, 216, 1400, 2941, 3862, 4387, 5560, 6756, 7992, 1059, 1807, 2339, 3939, 4780, 5586, 6607, 7716, 568, 1234, 2542, 3689, 4321, 5413, 6898, 7643, 654, 1388, 2349, 3827, 4427, 5597, 7173, 7985, 654, 1147, 3147, 3798, 4495, 5640, 6898, 7557, 518, 2127, 2316, 4166, 4522, 5296, 6604, 7477, 518, 1525, 2833, 3827, 4776, 5695, 6607, 8248, 518, 1684, 2542, 3623, 4681, 5534, 6738, 7473, 518, 1326, 2608, 4113, 4870, 6120, 7218, 7865, 518, 2052, 2341, 4083, 4776, 5963, 7160, 7303, 617, 1684, 2659, 4113, 5134, 5223, 7132, 7477, 424, 1411, 3040, 4122, 5091, 6175, 6589, 7732, 402, 1972, 2755, 3845, 4678, 5385, 6230, 8047, 556, 1539, 2172, 3220, 4737, 5247, 6351, 7733, 640, 2118, 2353, 4130, 5135, 5482, 6785, 8070, 728, 1289, 2180, 3940, 4906, 5636, 6730, 7911, 692, 1356, 2775, 3847, 4348, 5586, 6750, 7834, 970, 1302, 2151, 3905, 4651, 5598, 7037, 7770, 335, 1356, 2740, 3982, 4861, 5704, 6393, 7706, 767, 2047, 2515, 3736, 4727, 6103, 6776, 7393, 335, 1120, 2313, 3259, 4387, 5471, 7086, 8236, 767, 1562, 2834, 3530, 4191, 5378, 6803, 8126, 401, 1280, 2391, 3497, 4925, 5765, 6736, 7516, 804, 1924, 2960, 3982, 5104, 5968, 7207, 8267, 555, 1869, 2925, 3710, 4888, 6051, 7207, 7570, 914, 1791, 3109, 4174, 5080, 5661, 7207, 8266, 859, 1280, 2944, 3932, 5058, 5219, 6972, 8261, 707, 1601, 2474, 3855, 4606, 5555, 6715, 7950, 91, 1396, 2484, 3359, 4421, 5888, 6936, 7903, 579, 1773, 2167, 3230, 4664, 5438, 7172, 7960, 513, 1386, 2324, 3592, 5162, 5865, 6971, 8154, 955, 2061, 3147, 3975, 4830, 5746, 6772, 7948, 1098, 1356, 2296, 4103, 4751, 5519, 6930, 7835, 538, 1183, 2923, 4044, 4602, 6203, 6929, 7442, 1067, 1205, 2207, 3767, 5128, 5945, 6547, 7525, 386, 2008, 3015, 4097, 4474, 5485, 7043, 8146, 752, 2008, 2901, 3956, 4522, 5404, 6509, 7261, 1025, 1850, 2741, 3448, 4246, 5953, 7048, 7676, 1025, 1850, 3003, 3740, 5084, 5713, 6891, 8009, 610, 1773, 2470, 3747, 5193, 6190, 6677, 8267, 804, 1847, 2369, 3885, 4993, 6146, 6850, 7768, 132, 1623, 2880, 3175, 5095, 6170, 7132, 8159, 1081, 1141, 3022, 4067, 4630, 5216, 7207, 7557, 518, 1426, 2886, 4124, 5025, 5449, 6706, 8112, 518, 1876, 3147, 3896, 4630, 5446, 7069, 8252, 707, 1496, 2826, 4092, 5101, 5844, 6340, 7560, 473, 1233, 3092, 4145, 5125, 5514, 6752, 7828, 767, 1966, 2936, 3516, 4738, 5610, 6708, 7522, 840, 1363, 2737, 3396, 5145, 5255, 7051, 7524, 884, 2009, 2905, 3504, 4800, 5823, 6674, 7966, 936, 2009, 2905, 4073, 4372, 5790, 6954, 7815, 884, 1453, 2268, 4154, 5045, 6015, 6876, 7977, 1049, 1785, 2332, 3818, 4385, 5431, 6592, 7962, 308, 1399, 2629, 3914, 5060, 6103, 7012, 7717, 757, 1320, 3038, 3209, 5166, 6058, 6755, 7951, 1042, 1597, 2554, 3757, 5150, 5637, 6580, 7652, 487, 1794, 2258, 3900, 4881, 5633, 7219, 7962, 535, 1397, 3074, 3292, 5144, 5427, 6614, 7513, 535, 1397, 2750, 3225, 4525, 5320, 6957, 7913, 896, 1397, 2352, 3356, 4417, 5826, 6970, 8197, 462, 1252, 2692, 3224, 4364, 5633, 6510, 8165, 299, 1826, 3091, 3469, 4364, 5322, 6812, 8097, 1090, 1831, 2797, 3233, 5088, 6171, 6480, 7535, 104, 1141, 2678, 3821, 4489, 6152, 6603, 7519, 1025, 1494, 2678, 3231, 4426, 5899, 6812, 7778, 826, 1676, 2429, 3870, 4273, 5573, 7017, 8143, 424, 1531, 2556, 3948, 4588, 5689, 6377, 7957, 1090, 1477, 2282, 3430, 4334, 5835, 6550, 7529, 646, 1596, 2258, 3635, 5182, 5443, 7019, 7952, 681, 1609, 2744, 3245, 4495, 5270, 6847, 7365, 875, 1826, 2355, 3958, 4309, 6142, 7072, 7873, 793, 2118, 2810, 3419, 5111, 6194, 6257, 7905, 441, 1349, 2355, 3741, 4359, 6179, 6307, 8028, 404, 1695, 2646, 3750, 4691, 6002, 7009, 8259, 833, 1807, 2316, 3820, 5150, 5749, 6751, 7547, 914, 1386, 2820, 3761, 4713, 6181, 6565, 7865, 984, 1992, 3109, 3895, 5139, 5705, 6376, 7717, 484, 1684, 2925, 4115, 5129, 6211, 6589, 7865, 153, 1752, 2944, 3710, 5150, 6163, 6343, 7480, 935, 2111, 2834, 4166, 4287, 6014, 7239, 7717, 984, 1648, 2970, 4114, 4870, 5219, 7201, 7717, 165, 1971, 2608, 3359, 4613, 6123, 6321, 7341, 541, 1282, 2791, 3777, 4411, 5624, 6903, 7745, 153, 2002, 2151, 3726, 4595, 5422, 6550, 7515, 579, 1468, 2340, 4026, 4664, 5731, 7246, 7519, 1035, 1183, 2429, 4067, 5077, 5825, 6414, 7816, 1033, 1966, 2757, 3410, 4427, 5650, 7237, 7437, 897, 1738, 2309, 3760, 5122, 5276, 6937, 8140, 492, 1689, 2137, 4067, 4469, 5799, 7166, 8115, 113, 1337, 2482, 4167, 5138, 5202, 7012, 8016, 1080, 1609, 2309, 3694, 5155, 5717, 6265, 7870, 692, 1689, 2748, 4099, 5111, 5450, 6346, 8139, 938, 1865, 2936, 3741, 4692, 6119, 6256, 7614, 211, 1886, 2944, 3732, 4437, 5279, 7238, 8086, 663, 2081, 2429, 4151, 4387, 5550, 6725, 8260, 757, 1369, 2139, 3918, 4641, 6171, 6720, 7957, 620, 2118, 2381, 3961, 5016, 5586, 6350, 7791, 930, 1732, 2313, 3796, 4949, 5978, 6563, 7375, 806, 1918, 2751, 3884, 5111, 6117, 6646, 7248, 487, 1682, 3003, 3502, 5097, 5578, 6255, 7927, 986, 1568, 2316, 3792, 5072, 6145, 6963, 8163, 582, 1577, 3075, 3394, 4992, 5904, 7047, 7545, 308, 1566, 2554, 3732, 4925, 5590, 6414, 8092, 804, 1147, 2994, 4027, 5085, 5684, 6584, 8237, 308, 1992, 2957, 3782, 4398, 6146, 6979, 7998, 195, 1582, 2775, 4089, 4617, 5654, 6757, 8236, 334, 1831, 2941, 3767, 5145, 5298, 6443, 8015, 757, 1570, 3139, 3359, 4795, 5616, 6265, 8078, 153, 1971, 3139, 3671, 4890, 5944, 6751, 7927, 91, 1773, 2469, 3789, 4217, 6010, 6966, 8128, 776, 1407, 3075, 3987, 4764, 6002, 6486, 7652, 211, 1407, 3144, 4151, 4538, 5413, 6612, 7515, 887, 2035, 3092, 3990, 5106, 6147, 6709, 7383, 1025, 1897, 2167, 3156, 4901, 5395, 7069, 8041, 778, 1770, 2793, 3595, 4780, 5796, 6938, 7500, 641, 1146, 2631, 3388, 4231, 6063, 7109, 8225, 1003, 1120, 3038, 3631, 5068, 5898, 7221, 7816, 569, 1146, 2511, 4064, 4288, 5678, 6314, 8184, 104, 1275, 2595, 3868, 4677, 5890, 7050, 8034, 826, 1640, 3020, 3356, 4215, 5633, 7012, 8144, 104, 1674, 2797, 3232, 4571, 6030, 7125, 8034, 391, 1322, 2506, 3218, 5145, 5500, 6935, 8229, 408, 1369, 2506, 3395, 4533, 5558, 6539, 8252, 993, 1858, 2885, 3536, 4281, 6080, 7157, 7677, 545, 1184, 2260, 3314, 5054, 5684, 7098, 8132, 569, 1942, 2676, 3741, 4639, 5693, 6720, 8016, 807, 1146, 2436, 3490, 5041, 5339, 6755, 8263, 986, 1132, 2855, 4139, 4474, 5898, 6874, 8041, 937, 1669, 2243, 3943, 4468, 6096, 6369, 7672, 1024, 1486, 2363, 3181, 4565, 5547, 6617, 8210, 487, 1152, 2470, 4062, 4809, 5222, 6225, 7812, 850, 1858, 2674, 3373, 5110, 5464, 6286, 7467, 778, 2053, 2429, 3901, 4244, 5512, 6918, 7260, 104, 1674, 2436, 3732, 5042, 5907, 7166, 7508, 826, 1858, 2436, 3773, 4210, 5890, 6988, 7800, 778, 1858, 2762, 3573, 4784, 5228, 6898, 8060, 104, 1717, 2661, 3773, 4337, 5828, 6579, 7262, 1025, 1494, 2163, 3756, 4684, 6204, 7162, 7485, 610, 1577, 2688, 3169, 4807, 5580, 7181, 7538, 1056, 1747, 2946, 3932, 5106, 5204, 6988, 8185, 1099, 1623, 3021, 3916, 5080, 5436, 7058, 8185, 1097, 1218, 2960, 3516, 4888, 5883, 6709, 8147, 818, 1791, 2949, 4170, 5058, 5241, 7201, 7949, 818, 2046, 2957, 4108, 4980, 6081, 7239, 7766, 818, 2017, 2164, 4108, 4798, 6129, 7124, 7766, 1097, 2046, 3110, 3825, 4551, 5635, 7201, 8260, 488, 1528, 3110, 3982, 4822, 6139, 7077, 8223, 818, 2017, 3065, 3893, 4782, 6129, 6794, 8196, 488, 1528, 2164, 3893, 4624, 5241, 7124, 7766, 488, 1528, 2914, 3893, 5038, 5241, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 818, 1648, 2806, 3893, 4624, 5635, 7201, 8196, 818, 1648, 2914, 3825, 5038, 6139, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6186, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4512, 6139, 7201, 8223, 488, 1528, 3065, 3893, 4624, 6186, 6794, 8196, 488, 1622, 3065, 3825, 4624, 5241, 7124, 7766, 4, 2 ]

[ 1, 64, 66, 11, 62, 66, 5, 28, 26, 5, 31, 16, 5, 57, 62, 16, 54, 44, 55, 5, 42, 17, 54, 78, 5, 17, 75, 5, 16, 5, 42, 63, 39, 66, 5, 28, 14, 66, 16, 52, 5, 5, 3, 228, 1510, 3084, 3817, 5127, 5581, 6812, 8198, 225, 1286, 3048, 3939, 4486, 5333, 6677, 8079, 518, 1935, 3084, 3623, 5168, 5865, 7024, 8101, 518, 1424, 2542, 4121, 5120, 5530, 6996, 8076, 240, 1750, 2880, 4174, 4412, 5385, 6717, 7397, 789, 1750, 3062, 4174, 5159, 5296, 6313, 8130, 419, 2017, 2806, 3407, 4822, 6149, 6996, 8237, 789, 1648, 3062, 3550, 4398, 5413, 6612, 8236, 568, 1961, 2754, 4124, 4353, 5982, 6776, 7618, 223, 1918, 2960, 3470, 4179, 5978, 7058, 7964, 943, 1496, 2581, 3715, 4637, 5279, 7112, 7921, 360, 1157, 2842, 3295, 4488, 5344, 6375, 8053, 875, 1199, 2822, 4137, 4657, 5414, 7164, 7554, 249, 1168, 2173, 3244, 4707, 5941, 6519, 7663, 966, 1402, 2540, 3486, 4243, 5454, 6700, 7639, 1067, 1325, 2173, 3350, 4726, 6151, 6529, 7273, 386, 1615, 3088, 3255, 5011, 5499, 6731, 8145, 940, 2035, 2917, 3994, 5193, 5711, 6361, 8145, 337, 1146, 2679, 3300, 4859, 5413, 7037, 7421, 337, 1620, 3128, 3932, 4447, 5550, 6361, 7260, 337, 1304, 2991, 4171, 4467, 5968, 7239, 7776, 899, 2000, 2946, 3886, 4716, 5678, 7003, 8222, 617, 1623, 2593, 3732, 4918, 6129, 6996, 7344, 186, 2068, 2729, 4071, 4870, 5968, 6589, 7732, 488, 1528, 3110, 4171, 4888, 6085, 7239, 8147, 757, 1396, 2606, 3692, 4437, 5721, 6248, 7625, 568, 1496, 3105, 3838, 4795, 5749, 6776, 7476, 484, 2065, 2991, 3866, 4622, 5515, 7168, 8093, 818, 1467, 3110, 3825, 5058, 5963, 6996, 8066, 1099, 1804, 2783, 3226, 4822, 5883, 6996, 8083, 684, 1797, 3144, 3885, 5060, 6211, 6988, 8237, 304, 1797, 2957, 3945, 5061, 5832, 6688, 8237, 390, 1881, 3038, 3226, 4782, 5883, 7077, 7723, 750, 1700, 2834, 4093, 5129, 5678, 6936, 7421, 83, 2036, 2491, 3245, 4932, 5684, 7060, 7977, 154, 1318, 2867, 3791, 4337, 5311, 6683, 7284, 723, 1408, 2491, 3399, 4337, 5593, 6965, 8104, 1050, 2009, 3132, 3456, 4794, 6015, 7140, 7605, 179, 2009, 2869, 3809, 4367, 6015, 6592, 8140, 966, 1171, 3055, 3394, 4539, 6090, 6426, 7474, 1017, 1171, 2459, 4123, 4755, 6162, 6783, 7873, 1101, 1302, 2953, 4009, 5031, 5762, 7074, 7640, 936, 1442, 3040, 3743, 4278, 5443, 6923, 7900, 992, 1721, 2156, 3279, 4205, 6125, 6434, 7973, 645, 1932, 2436, 3769, 4670, 6119, 6637, 8041, 955, 1608, 3008, 4114, 4447, 5767, 7100, 7848, 211, 1753, 2559, 3472, 4670, 5369, 6901, 8126, 1057, 2048, 2422, 3669, 4717, 5419, 7002, 7405, 487, 1124, 2271, 4122, 4346, 6191, 6650, 8139, 399, 1126, 2725, 3458, 4724, 5441, 6273, 7539, 737, 1942, 2520, 3796, 4482, 5891, 6678, 7975, 363, 1550, 2751, 3642, 4690, 6119, 6242, 8063, 443, 1732, 2506, 3943, 4806, 6070, 7114, 7889, 884, 2009, 2980, 3967, 5148, 5280, 7063, 7481, 784, 1283, 2728, 3472, 4288, 5719, 6461, 8238, 314, 2059, 2156, 4066, 4440, 5526, 6663, 8095, 884, 1302, 2163, 3394, 4383, 5568, 6856, 8013, 918, 1838, 2900, 3682, 4419, 6145, 7072, 7644, 1067, 1838, 2199, 3960, 4571, 5757, 7200, 7784, 386, 1205, 2392, 3686, 4474, 6107, 6762, 7412, 545, 1294, 2749, 3764, 4264, 5745, 6545, 7618, 643, 1179, 2726, 3770, 5097, 6115, 6628, 8039, 645, 1318, 2586, 3740, 5072, 6032, 7215, 7557, 1097, 1869, 2980, 3710, 5183, 5635, 7239, 7256, 186, 1467, 2895, 4085, 4622, 5832, 7084, 7594, 935, 2000, 3007, 3710, 4798, 5661, 7006, 7723, 984, 2068, 3135, 4171, 5038, 5749, 6515, 7641, 475, 1847, 3064, 4011, 5058, 6182, 7084, 7806, 1091, 1707, 2340, 3430, 4423, 5661, 6908, 7806, 948, 1860, 3026, 4130, 5120, 5233, 6850, 7498, 862, 1807, 2741, 3232, 4226, 5745, 6284, 7816, 1023, 1241, 2515, 3669, 4457, 5429, 6907, 7827, 731, 1826, 2366, 3756, 4210, 5548, 7048, 7806, 304, 1831, 2710, 3788, 4470, 5641, 6786, 8117, 1101, 2008, 2128, 3245, 4881, 5461, 6991, 7650, 737, 1164, 3018, 4007, 4701, 5891, 6570, 8025, 1101, 1692, 3074, 3697, 4609, 5903, 7043, 7288, 807, 1566, 3074, 3618, 4482, 5527, 6978, 7873, 487, 1302, 2346, 3476, 4439, 5438, 6579, 7765, 386, 1550, 2727, 3850, 4297, 5664, 6715, 8129, 504, 1685, 2766, 4003, 4834, 5737, 6430, 7717, 386, 1510, 2678, 3246, 5185, 5600, 6993, 8001, 504, 1782, 2298, 3245, 4954, 6080, 6865, 7891, 1025, 1269, 2520, 3437, 4877, 5557, 6915, 7911, 104, 1858, 2492, 3949, 4278, 5700, 6358, 7702, 1090, 1850, 2946, 3271, 4993, 5950, 6484, 7744, 211, 2063, 2944, 4027, 4691, 5260, 7004, 7570, 1056, 1141, 2820, 3900, 5120, 6146, 7149, 7948, 269, 1935, 3124, 4047, 4333, 5865, 7215, 8137, 1040, 1721, 2188, 3266, 4541, 6034, 6234, 7778, 462, 1557, 2974, 3332, 4350, 5369, 6965, 8240, 1040, 1767, 2727, 3441, 5124, 5264, 7188, 7878, 840, 1604, 2361, 3187, 4337, 6002, 6949, 7904, 896, 1199, 2224, 3623, 4338, 5374, 7219, 7479, 535, 1199, 2866, 3623, 4874, 5934, 6224, 8253, 271, 1735, 2588, 3940, 4646, 5594, 6674, 7250, 895, 1735, 2956, 3623, 4310, 5291, 7234, 7706, 465, 1735, 2519, 3967, 4689, 5504, 6746, 7905, 150, 1735, 2348, 3294, 4364, 5663, 6720, 8149, 1025, 1302, 2933, 3880, 4334, 5863, 7078, 7849, 643, 1850, 3080, 3361, 5193, 6146, 6809, 7838, 401, 1504, 2710, 3740, 4588, 5614, 7112, 7563, 1025, 1557, 2874, 3771, 4998, 5661, 7098, 8016, 223, 1834, 2530, 3182, 4855, 5761, 6830, 8226, 1062, 1948, 2654, 3892, 4855, 5550, 7114, 7811, 725, 1645, 2559, 4120, 5100, 6181, 7219, 8211, 613, 1252, 2536, 3273, 5047, 6015, 6738, 7777, 1014, 1646, 3130, 4096, 4395, 5746, 6564, 7367, 127, 1716, 3130, 3532, 5145, 5730, 6443, 8181, 1014, 1649, 2751, 3918, 5098, 5219, 7024, 7386, 923, 2048, 2293, 3533, 5184, 5388, 7209, 7428, 803, 1393, 2282, 3585, 4620, 6179, 6732, 8113, 458, 1296, 2867, 3948, 4273, 5249, 6578, 7751, 888, 1865, 2209, 3323, 4281, 5372, 6789, 7637, 959, 1754, 2163, 4025, 4256, 5562, 6809, 8064, 401, 1700, 2998, 3982, 5159, 5661, 6493, 7811, 959, 1700, 2582, 3987, 5088, 5797, 7221, 8188, 645, 1898, 3033, 3540, 4225, 5910, 6918, 8025, 901, 1452, 2128, 3496, 4829, 6218, 6603, 7904, 691, 1523, 3092, 3364, 4932, 5506, 7140, 8055, 465, 1402, 2944, 4145, 4882, 5496, 6352, 7525, 1101, 1499, 2486, 3169, 5005, 5995, 7159, 8149, 1025, 1740, 2534, 3356, 4521, 5475, 6622, 7892, 804, 2000, 2274, 3488, 5088, 5904, 6809, 8093, 804, 1682, 3043, 3803, 4780, 5767, 6884, 7753, 804, 2001, 2783, 3908, 5080, 5883, 7132, 7764, 804, 1791, 2806, 4108, 5080, 5661, 7201, 7766, 308, 1850, 2783, 4174, 5088, 6103, 6967, 7555, 308, 1705, 2730, 4011, 4822, 5534, 6988, 8237, 827, 1760, 2368, 3740, 4952, 5627, 6612, 8225, 844, 2001, 2655, 3826, 4437, 5296, 7012, 7707, 1057, 1499, 2927, 3949, 4965, 5797, 6551, 8178, 778, 1333, 2891, 3408, 5194, 6122, 6348, 7582, 840, 1202, 2716, 3396, 4911, 5401, 6550, 7996, 404, 1225, 2905, 4096, 4804, 5965, 6478, 8043, 344, 1510, 2905, 3642, 4352, 5512, 6973, 7603, 536, 1496, 2400, 3476, 4851, 5658, 6789, 7726, 986, 1644, 2589, 3812, 4632, 6002, 6663, 7530, 986, 1754, 2751, 3769, 4218, 5441, 6674, 8006, 150, 2053, 2610, 4084, 4602, 5424, 6224, 7549, 610, 1692, 3129, 3515, 5075, 5884, 6850, 8034, 304, 1708, 2669, 4145, 4529, 5981, 6979, 7941, 684, 1494, 3080, 3231, 4918, 6075, 6967, 8227, 804, 1660, 3064, 4108, 4912, 5883, 7132, 7602, 1097, 2000, 2991, 4174, 4622, 5694, 7132, 8179, 308, 2000, 2991, 4174, 4622, 5635, 7152, 7421, 818, 2000, 2838, 4018, 4630, 5241, 7058, 7723, 818, 1528, 3008, 4071, 4287, 6139, 7006, 7806, 956, 1791, 3117, 4114, 4287, 5883, 7006, 7766, 956, 1998, 3008, 4011, 4798, 5832, 6972, 7806, 512, 1705, 2925, 3188, 4622, 6195, 6709, 8179, 857, 1623, 3038, 4026, 5022, 5981, 6754, 7876, 1067, 1509, 2564, 3779, 4896, 5475, 6793, 7921, 546, 2059, 2963, 3874, 4664, 5973, 6620, 8254, 739, 1967, 2623, 3635, 4602, 5624, 6488, 7496, 1077, 1296, 2956, 3394, 4943, 5941, 6974, 8038, 673, 1808, 3137, 3332, 4485, 6010, 6883, 8200, 536, 1490, 3003, 3510, 4440, 5512, 6409, 7904, 492, 1376, 3055, 3735, 5180, 5742, 7088, 8061, 113, 1934, 2315, 4137, 5031, 6100, 6573, 7722, 976, 1110, 2763, 3635, 4404, 6015, 6670, 8193, 347, 1507, 2293, 3848, 4855, 6141, 6493, 7883, 308, 1620, 3043, 3680, 5009, 6025, 7010, 7260, 1091, 1534, 3006, 3240, 4536, 5565, 7162, 7720, 756, 1623, 3133, 3289, 4512, 5950, 6770, 7584, 231, 1946, 2429, 4153, 4575, 5540, 7006, 7476, 1049, 1879, 2389, 3531, 5167, 5749, 7126, 7867, 113, 1838, 2361, 4167, 4506, 5925, 6572, 7256, 761, 1740, 2712, 3480, 4222, 5925, 6835, 7710, 271, 1740, 2326, 3446, 4805, 6173, 7141, 7559, 582, 1489, 2863, 4015, 4730, 5891, 6811, 8212, 1008, 2053, 2175, 3779, 5154, 5379, 7088, 7905, 113, 2089, 2498, 3214, 4933, 5387, 6881, 8246, 1008, 1753, 3074, 3479, 5161, 5634, 6663, 7420, 620, 2050, 2348, 3446, 4359, 5910, 6242, 7318, 547, 1440, 3112, 3813, 5100, 5894, 6840, 7394, 645, 1867, 2941, 3876, 4806, 5410, 6352, 8085, 684, 2000, 2941, 3932, 5022, 5968, 7085, 8080, 308, 1770, 2925, 4011, 4287, 5534, 6579, 8147, 914, 1463, 3135, 3975, 4870, 5901, 6709, 7876, 1099, 1856, 3095, 3982, 4782, 6014, 7168, 8179, 510, 2024, 2991, 4171, 5166, 5968, 7239, 7723, 552, 1912, 3110, 4085, 5135, 5586, 7127, 7256, 617, 2111, 2925, 4125, 4983, 5630, 6688, 7643, 617, 2111, 3147, 4068, 4955, 5987, 6615, 7563, 617, 1490, 3064, 3777, 4890, 6054, 7095, 7823, 105, 1586, 2740, 3838, 4387, 5515, 6589, 8266, 617, 1496, 2918, 4047, 4611, 5550, 6515, 7715, 105, 2002, 2729, 4068, 5190, 5385, 7232, 7831, 617, 1750, 2775, 3777, 4583, 5296, 6688, 7962, 617, 1750, 2775, 3777, 4344, 5730, 6840, 7706, 552, 2127, 2554, 3891, 4762, 5550, 7152, 7865, 105, 2111, 2554, 4153, 5135, 5767, 7091, 7677, 105, 1586, 2860, 4078, 5060, 6160, 6809, 7723, 555, 2111, 2858, 4068, 4622, 5515, 6251, 7732, 555, 2111, 2858, 3425, 4549, 5963, 6579, 7723, 555, 2002, 2754, 4006, 5190, 5385, 7129, 7485, 105, 1586, 2860, 3376, 4387, 6101, 7207, 7677, 555, 1974, 2554, 3955, 5007, 5241, 7152, 7723, 4, 2 ]

[ 1, 64, 39, 75, 5, 41, 20, 63, 5, 14, 54, 5, 16, 51, 39, 79, 16, 54, 16, 52, 5, 64, 51, 63, 14, 53, 28, 16, 52, 5, 41, 20, 63, 5, 62, 16, 78, 45, 65, 16, 54, 5, 5, 3, 228, 2002, 3084, 3798, 4844, 5527, 6338, 8077, 654, 2061, 2242, 3831, 5079, 5942, 7024, 7838, 654, 1452, 2359, 4057, 4983, 5428, 6889, 7336, 518, 2058, 2724, 4111, 4297, 6035, 6715, 7831, 518, 2118, 2729, 3861, 4334, 5250, 6380, 7781, 256, 1992, 2833, 3586, 4344, 5588, 6757, 7918, 105, 1856, 2565, 4150, 5143, 5880, 7149, 8041, 731, 1286, 3032, 4102, 4374, 5660, 6715, 7260, 318, 1834, 2271, 3413, 5164, 6160, 6609, 7508, 737, 2047, 2137, 3394, 4817, 5539, 6449, 7661, 1036, 1550, 3001, 3395, 5194, 5715, 7076, 8149, 761, 1834, 2649, 3272, 4539, 5642, 6763, 7524, 386, 1834, 2710, 3395, 4858, 5514, 6829, 8058, 784, 1550, 2527, 3616, 4900, 5935, 6383, 7438, 1009, 1289, 2292, 4095, 4365, 5624, 6672, 8075, 970, 1561, 2515, 3543, 4623, 5257, 6619, 7438, 103, 1446, 2710, 3796, 4983, 5561, 6672, 8016, 1011, 1164, 2282, 4126, 4374, 5594, 6603, 8075, 981, 2102, 2693, 3298, 4804, 5991, 6528, 7427, 1024, 1286, 2502, 3582, 5097, 5980, 6979, 7261, 1024, 1286, 3119, 3796, 4983, 5297, 7041, 7495, 951, 1234, 2561, 4145, 4918, 5974, 7162, 7717, 804, 1280, 2946, 4085, 5166, 6147, 7095, 8266, 684, 2024, 2473, 4145, 4583, 6103, 7069, 7992, 899, 2030, 2924, 3376, 4853, 6008, 6713, 8266, 878, 2030, 2975, 3533, 4411, 5512, 7235, 7524, 256, 2030, 2167, 3430, 4611, 5573, 7058, 7732, 967, 1467, 2340, 3364, 4607, 5289, 6589, 8266, 833, 1981, 2740, 3314, 5144, 5497, 6430, 7263, 401, 1318, 3001, 4093, 4294, 5952, 6262, 7703, 216, 1175, 2754, 4062, 4748, 5834, 6755, 7717, 864, 1776, 2944, 3998, 5159, 5834, 6886, 7664, 1024, 1234, 2743, 4062, 4444, 5825, 7147, 7508, 547, 1315, 2743, 3873, 4827, 6165, 7162, 7269, 547, 1520, 2321, 3620, 4954, 6141, 6637, 7498, 840, 1504, 2234, 4022, 4639, 6033, 7005, 8255, 784, 1324, 2905, 3866, 4730, 5731, 6422, 7527, 266, 1736, 2455, 3191, 5073, 6214, 6467, 7904, 150, 1509, 2856, 3616, 4700, 5600, 6715, 7763, 216, 2102, 2629, 3793, 5107, 5573, 7207, 8107, 970, 1688, 2750, 3937, 4429, 5556, 7053, 8028, 1024, 1320, 2429, 3922, 4930, 5982, 7087, 7404, 363, 1888, 2313, 4168, 4458, 6204, 6403, 8060, 1062, 1472, 2678, 3819, 4985, 5553, 6265, 7389, 940, 1118, 2330, 3395, 4604, 5549, 6584, 7311, 488, 1467, 2833, 4085, 5104, 6103, 6979, 7876, 818, 2068, 2730, 3710, 5038, 5832, 6584, 7766, 818, 2000, 2781, 3891, 4980, 5241, 7239, 8179, 1099, 1992, 3008, 3188, 4589, 5219, 7201, 8076, 427, 2068, 2340, 3201, 5060, 5705, 7006, 7485, 221, 1141, 2818, 3563, 4457, 5433, 6595, 8225, 183, 1752, 2875, 3756, 4650, 5532, 6566, 7477, 105, 1876, 2730, 3550, 5106, 5616, 7181, 7255, 304, 1550, 3128, 4114, 5160, 6205, 6830, 8267, 761, 1905, 2490, 3983, 4665, 5792, 6614, 8164, 487, 2048, 2355, 3770, 4604, 5730, 6424, 8184, 884, 2117, 3033, 3476, 4724, 5384, 6925, 7369, 363, 1550, 2401, 3167, 4943, 6140, 6491, 7437, 465, 1692, 2727, 4103, 4321, 5564, 7094, 8263, 1101, 1948, 3091, 3421, 4773, 5724, 6562, 7852, 1029, 2008, 2610, 3770, 4224, 5589, 6621, 8161, 986, 1763, 2843, 3812, 4582, 6118, 6414, 7490, 487, 1771, 2309, 3297, 4604, 6154, 6996, 7574, 487, 1915, 2309, 3297, 4604, 5757, 7118, 7657, 231, 1809, 2492, 4007, 5023, 5719, 6898, 7717, 757, 1238, 2994, 3550, 5083, 5845, 6645, 8262, 757, 1979, 2924, 3436, 4604, 5769, 6478, 8253, 757, 1994, 2175, 4047, 4632, 5810, 6763, 7821, 757, 1873, 2287, 3832, 4918, 5706, 7087, 7501, 951, 1809, 2542, 3933, 4501, 5968, 6769, 8195, 1011, 1771, 3003, 3692, 4985, 6014, 7149, 7816, 1090, 1335, 2729, 3385, 5106, 5677, 7019, 7865, 104, 1682, 2455, 3334, 4287, 5797, 7207, 8058, 104, 1763, 2924, 3794, 4440, 5360, 7207, 8126, 150, 1635, 3003, 3533, 5088, 5219, 7058, 8261, 504, 1855, 2439, 3533, 4310, 5256, 6549, 7677, 643, 1850, 3150, 4168, 4487, 6084, 7158, 7583, 150, 2049, 3112, 3153, 5036, 5220, 6643, 8086, 1025, 1469, 2481, 3921, 4828, 5942, 6298, 7831, 678, 1385, 2636, 3302, 5041, 5387, 6470, 7725, 1029, 1469, 2298, 4043, 4781, 5363, 7152, 7667, 150, 1974, 2890, 3559, 5053, 5305, 6810, 8069, 1025, 1199, 3037, 3931, 5085, 5550, 7047, 7690, 678, 2035, 2881, 3374, 4829, 5641, 6968, 7838, 288, 1523, 2452, 3931, 5129, 5543, 6852, 7616, 940, 1318, 2970, 4006, 4310, 6220, 7012, 8188, 105, 1675, 2941, 4085, 5169, 5534, 6972, 7732, 518, 1596, 3147, 4128, 4329, 5276, 7100, 8150, 225, 2060, 3064, 3838, 5079, 5548, 7090, 8061, 225, 1935, 2340, 3838, 5143, 5624, 7069, 8164, 225, 2065, 2734, 3245, 4681, 5550, 6485, 7715, 225, 2088, 2729, 4125, 4399, 5840, 6899, 8061, 225, 1529, 2792, 3726, 4214, 5579, 6486, 7717, 225, 2002, 2718, 4026, 4890, 5730, 6809, 8164, 568, 1749, 2775, 3391, 5088, 5942, 6856, 7528, 757, 1749, 2946, 3754, 4344, 5641, 6740, 7664, 484, 2097, 2775, 3662, 4890, 5534, 7100, 8076, 142, 1468, 2659, 3550, 5166, 5689, 6752, 8147, 488, 1528, 2554, 3825, 4624, 5811, 6604, 7303, 915, 1468, 2659, 3914, 5160, 5515, 7120, 7303, 555, 2017, 2554, 3487, 5038, 5901, 7239, 7485, 337, 2017, 2340, 4174, 4624, 5901, 7124, 8076, 501, 1638, 2886, 3432, 5100, 5227, 6869, 7878, 355, 1233, 3003, 3836, 4859, 5825, 6987, 7485, 650, 2060, 2484, 4064, 4971, 6039, 6267, 7746, 761, 2083, 2850, 3169, 4575, 5887, 6952, 7693, 737, 1742, 3003, 3181, 4364, 5444, 6940, 7774, 737, 1510, 2816, 3578, 4910, 5461, 6997, 7904, 786, 1496, 2186, 3766, 4826, 5207, 6267, 8016, 536, 2117, 2186, 4133, 4381, 5226, 6551, 8100, 737, 1789, 2769, 3442, 4434, 6102, 6617, 7296, 492, 1789, 2902, 4105, 4955, 5364, 7065, 7496, 492, 1912, 3055, 3962, 4604, 6179, 7174, 7497, 1029, 1503, 2389, 4072, 4187, 5499, 6279, 7927, 1025, 1557, 2330, 3481, 5018, 5422, 6804, 7899, 610, 1670, 2292, 3886, 4617, 5982, 6566, 8132, 1025, 1915, 2974, 3540, 4458, 5511, 6776, 7987, 610, 1915, 2838, 3540, 4570, 5832, 7218, 8054, 833, 1700, 2959, 3649, 4822, 6063, 6752, 8093, 211, 2079, 3008, 3990, 5075, 5702, 7218, 8179, 884, 2035, 2716, 3642, 4727, 5276, 7150, 7981, 802, 1469, 2214, 4062, 5114, 5235, 6383, 7741, 150, 1469, 2920, 3381, 4474, 5824, 6725, 7616, 1029, 1440, 3126, 3557, 4270, 5917, 6614, 8039, 386, 1469, 2956, 3557, 4858, 5929, 7246, 7981, 1081, 1469, 2901, 3737, 4646, 5437, 7019, 7602, 1025, 2056, 2985, 3777, 4950, 6199, 6771, 7916, 1051, 1683, 2795, 3847, 5166, 6008, 6770, 7776, 256, 1945, 2683, 4102, 4557, 5567, 6291, 7605, 256, 2030, 2996, 3904, 4980, 5493, 6627, 7570, 440, 1525, 3147, 4005, 5080, 6022, 6348, 7676, 789, 2030, 2454, 3361, 4611, 6205, 6972, 7862, 105, 1851, 3021, 3795, 4859, 5580, 6900, 7715, 859, 1998, 2560, 3704, 5138, 5589, 6393, 7717, 859, 1847, 2560, 3803, 5138, 5436, 6569, 7720, 731, 1587, 2661, 3681, 5120, 6156, 7024, 7473, 271, 1950, 2321, 3618, 5027, 5789, 6605, 7438, 344, 1914, 2347, 3469, 4506, 5958, 6521, 8168, 1025, 1350, 2320, 4098, 5153, 5991, 6612, 7892, 610, 1873, 2783, 3758, 4489, 5216, 6810, 7955, 804, 1664, 2803, 4114, 5183, 5767, 6787, 7807, 1097, 2000, 2991, 4174, 5153, 5901, 6996, 7557, 1099, 2000, 3006, 3710, 5104, 6182, 7084, 7806, 427, 1856, 2330, 4006, 4551, 5978, 7129, 8237, 579, 2091, 2554, 3603, 4310, 5514, 6903, 7932, 617, 2065, 3006, 3914, 4861, 5475, 7218, 7485, 335, 2073, 2975, 3770, 4829, 5550, 6696, 8240, 685, 1177, 2455, 3704, 4861, 5510, 7023, 8016, 781, 1826, 2455, 3941, 4912, 6124, 6883, 7524, 504, 1596, 3126, 4078, 4381, 5884, 7169, 7561, 317, 2105, 2591, 3245, 4321, 5516, 6694, 7298, 576, 1809, 2751, 3817, 5138, 5704, 6830, 7804, 317, 1978, 2188, 3239, 4834, 5519, 6651, 7793, 1014, 1577, 2188, 4073, 4364, 5732, 7170, 7547, 576, 1171, 2729, 3540, 4321, 5223, 7163, 8117, 995, 1809, 2497, 4007, 4775, 5762, 6453, 8030, 761, 2118, 2534, 3395, 4201, 5303, 6478, 8058, 761, 2118, 2701, 3231, 4982, 5560, 6284, 7741, 487, 2048, 2897, 3533, 4571, 6132, 7133, 7602, 487, 1434, 2701, 3755, 4934, 5500, 7017, 7743, 103, 1275, 2379, 3488, 4364, 6009, 6837, 7741, 757, 1577, 3006, 3213, 4364, 5838, 7091, 7815, 568, 1289, 3026, 3909, 5187, 6117, 6348, 7908, 568, 1958, 2156, 3798, 4379, 6137, 6291, 7716, 421, 1597, 2717, 3550, 5151, 5385, 6486, 7563, 568, 1550, 2500, 3692, 5151, 5647, 7017, 8184, 757, 2127, 3021, 3726, 4638, 5767, 6677, 8164, 757, 2127, 3139, 3955, 5179, 5261, 6612, 7703, 153, 1971, 3021, 3879, 5138, 5386, 6668, 8149, 552, 1876, 3139, 3891, 4225, 5219, 7041, 7494, 216, 1286, 2980, 3374, 4955, 5643, 7246, 7919, 266, 1773, 2349, 3161, 5016, 5433, 6780, 7393, 884, 1809, 3029, 3821, 4440, 5938, 6267, 7668, 1025, 1294, 2717, 3219, 5135, 5752, 6832, 8139, 1025, 1294, 2946, 3917, 4807, 5500, 6915, 8073, 1029, 1336, 2591, 3537, 4807, 5583, 7095, 7602, 1029, 1594, 2436, 3537, 4930, 5797, 6778, 7384, 104, 1167, 2440, 3973, 4883, 5551, 6778, 7972, 299, 1141, 2498, 4007, 4280, 5749, 7207, 7704, 150, 1692, 2646, 4027, 4966, 5512, 7175, 7825, 993, 1562, 2429, 3463, 4321, 5409, 6439, 7480, 643, 1831, 3026, 4078, 4896, 5663, 6224, 7881, 887, 2033, 2946, 3771, 4359, 5363, 6884, 7965, 150, 1700, 2165, 3918, 4343, 5204, 6487, 7274, 684, 1620, 3095, 4145, 4191, 5534, 7058, 7547, 818, 1623, 2783, 4174, 5129, 6211, 6980, 7965, 914, 1998, 3135, 3886, 4912, 6129, 7218, 7421, 935, 1998, 2991, 4068, 5159, 6129, 6774, 7720, 488, 1648, 3007, 4011, 5165, 6103, 6972, 7720, 956, 2000, 3128, 3886, 5061, 5705, 7239, 8237, 555, 2017, 2164, 3886, 5038, 5241, 7239, 7485, 859, 2127, 2560, 3391, 4398, 6163, 7152, 7732, 859, 1695, 2340, 3407, 5060, 6160, 6972, 8185, 555, 1345, 2959, 4068, 4704, 5811, 6991, 7723, 555, 2002, 2554, 4071, 5190, 5767, 6688, 7831, 555, 1345, 3062, 4068, 4877, 5901, 7152, 7715, 555, 2002, 2839, 3803, 4374, 5963, 6584, 7303, 859, 1684, 2554, 4166, 5159, 5550, 7226, 7664, 105, 1289, 2833, 3376, 5138, 5534, 7239, 8164, 555, 1468, 3021, 3374, 4859, 5241, 6988, 8223, 555, 1876, 2833, 4168, 4870, 5811, 7120, 8080, 555, 1468, 2833, 3771, 4859, 5241, 7152, 7723, 555, 2111, 2554, 3827, 4583, 5811, 7207, 8223, 4, 2 ]

[ 1, 16, 5, 64, 53, 20, 52, 5, 51, 63, 57, 5, 76, 11, 78, 5, 51, 52, 45, 55, 44, 55, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 7077, 7485, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 488, 2017, 3117, 3367, 4798, 6139, 7124, 8196, 915, 1648, 3065, 4018, 4798, 6186, 7124, 7766, 1006, 1650, 2530, 3233, 4598, 5792, 6787, 7611, 803, 1496, 2678, 3390, 5107, 6095, 6448, 7987, 868, 1346, 2929, 3306, 4476, 6013, 6485, 8123, 699, 2125, 2750, 4125, 4970, 5840, 7220, 7538, 699, 1736, 2335, 3689, 5193, 5790, 6382, 7303, 654, 2106, 3147, 3891, 5138, 5892, 6544, 7745, 654, 2060, 3139, 3416, 4529, 6117, 7064, 8130, 228, 2060, 3139, 4103, 4344, 5924, 7043, 8093, 518, 1756, 2316, 3790, 4983, 5844, 7152, 7753, 654, 2097, 3026, 3933, 4859, 6205, 7084, 7806, 857, 2024, 2946, 3951, 4852, 6125, 6809, 8191, 914, 1750, 2944, 4114, 4764, 5534, 6889, 8262, 731, 1825, 3061, 3933, 4335, 6001, 7160, 7473, 149, 1498, 2923, 3963, 4807, 5220, 6287, 7917, 1006, 1723, 2923, 3706, 4942, 5694, 6453, 7385, 937, 1547, 2826, 3176, 4658, 5854, 6674, 7948, 391, 1177, 2683, 3639, 4465, 5676, 6923, 8164, 179, 1478, 2577, 3557, 4315, 5664, 6260, 7854, 763, 1829, 2866, 3821, 5040, 5991, 7187, 7966, 192, 1711, 2286, 3507, 4465, 6009, 6669, 7873, 482, 1205, 2508, 3312, 5010, 6140, 6834, 7361, 763, 1880, 2312, 3722, 4668, 6004, 6509, 7438, 192, 1469, 2764, 4137, 4319, 5245, 6835, 8205, 1008, 1316, 2822, 3736, 4962, 5991, 7125, 7904, 1067, 1469, 2141, 3561, 4902, 5746, 7078, 7435, 864, 2026, 2425, 3791, 4546, 5664, 7010, 7502, 547, 2026, 2182, 4051, 4668, 5976, 6822, 7965, 320, 2050, 2481, 4034, 4743, 5305, 7167, 7944, 1024, 2026, 2680, 3729, 4318, 5929, 7045, 7690, 1008, 2026, 2831, 3557, 4729, 5714, 6468, 7891, 277, 1469, 2628, 4126, 4773, 6061, 6351, 7528, 547, 1469, 2633, 3281, 4847, 5686, 6247, 8165, 938, 1469, 2831, 3512, 4304, 5447, 6286, 8157, 1011, 1469, 3083, 3474, 5190, 5207, 6528, 7701, 386, 1440, 2972, 4149, 4389, 5655, 6487, 7366, 1024, 1440, 2972, 3558, 4808, 6113, 6817, 8156, 678, 1880, 2363, 3466, 4729, 5631, 6734, 7941, 1051, 1757, 2677, 4164, 4593, 5797, 6750, 7291, 427, 1120, 2838, 3819, 4533, 5834, 6256, 7919, 935, 2041, 2925, 3226, 5104, 5305, 6786, 8237, 186, 2032, 2803, 4011, 4624, 5883, 6709, 7290, 488, 2068, 2914, 3893, 5080, 5832, 7239, 8179, 186, 2017, 2806, 3866, 4630, 5901, 7084, 7766, 818, 1528, 2914, 3825, 4888, 6139, 7201, 8185, 818, 1622, 2803, 3893, 4630, 5241, 7124, 8179, 818, 1528, 2925, 3188, 4624, 5832, 7132, 8237, 510, 2068, 3110, 4174, 4398, 6014, 7239, 7641, 473, 2001, 2278, 3937, 4225, 5749, 7183, 7641, 827, 1106, 2449, 4124, 5188, 6154, 6718, 7812, 541, 2088, 2683, 3205, 4969, 6137, 6921, 7339, 682, 1604, 3048, 3314, 4859, 5523, 6592, 7375, 579, 1833, 2659, 3515, 4215, 5558, 6258, 7898, 1047, 2063, 3108, 3188, 4857, 6131, 6466, 7703, 1067, 1866, 2153, 4095, 4268, 6153, 6847, 7655, 344, 1222, 2262, 4158, 4738, 6174, 6671, 7532, 277, 1685, 3072, 3354, 4361, 6045, 6941, 7911, 864, 1582, 3080, 3652, 4892, 5927, 7163, 7959, 547, 1582, 2259, 3991, 4655, 6135, 6283, 7612, 864, 1870, 3030, 3752, 4855, 5919, 7128, 7901, 386, 1309, 2282, 3496, 4373, 5950, 6328, 8123, 531, 1167, 2667, 4100, 4417, 5943, 6234, 7955, 504, 1447, 2436, 3727, 4743, 6010, 6663, 7935, 643, 1260, 2944, 4028, 4734, 5653, 7012, 7594, 887, 1542, 2897, 3259, 4729, 6092, 6893, 7369, 150, 1290, 2661, 4061, 5073, 5678, 6411, 7725, 150, 1913, 2937, 3410, 4435, 5858, 7184, 7717, 610, 1306, 2444, 3659, 5091, 5765, 6750, 7791, 778, 1755, 2444, 3984, 4852, 6120, 6295, 7265, 1016, 2053, 2198, 3964, 4426, 5536, 6864, 8060, 887, 1757, 2363, 3627, 4758, 5966, 7219, 7263, 887, 1873, 2782, 4174, 5115, 5439, 7035, 7918, 887, 1873, 2782, 4028, 4757, 5953, 6668, 7557, 104, 1193, 2789, 3330, 4598, 5220, 6967, 7807, 1005, 1516, 3149, 3692, 5003, 5212, 6346, 8177, 536, 1146, 2367, 3892, 4700, 6195, 6490, 8145, 536, 1516, 2790, 4021, 4537, 5921, 6360, 7379, 462, 1141, 2530, 4021, 4308, 5745, 6857, 8233, 920, 1299, 2751, 3182, 4788, 5480, 7049, 8193, 143, 1299, 3067, 3973, 4225, 5261, 6966, 7797, 225, 1524, 2559, 3749, 5090, 5854, 7078, 7574, 699, 1509, 2156, 3396, 4486, 5873, 7220, 7365, 654, 1930, 3026, 3967, 4344, 5837, 7090, 8012, 500, 1736, 3146, 3726, 4266, 5430, 7224, 8136, 186, 2097, 2868, 3939, 4470, 5730, 6579, 8118, 915, 1524, 2287, 3595, 4743, 5413, 7100, 7677, 935, 1648, 2730, 4068, 4611, 5892, 7239, 8267, 419, 2000, 2729, 3891, 4716, 5677, 6579, 7570, 915, 1528, 2914, 3680, 4782, 5438, 6972, 7806, 419, 1528, 2996, 3891, 5080, 6205, 7218, 7806, 485, 1601, 2140, 3478, 4445, 6141, 6429, 7935, 415, 1853, 2886, 3273, 4627, 5276, 7114, 7928, 756, 1490, 2904, 3590, 5074, 6208, 6760, 8094, 955, 1490, 3064, 3536, 5080, 6115, 6626, 8107, 262, 1776, 3080, 3997, 4971, 5819, 7025, 7899, 781, 1763, 2506, 3910, 4647, 6190, 7140, 7651, 266, 1241, 2506, 4073, 4187, 5671, 6397, 7679, 737, 1388, 2314, 4089, 4855, 5233, 7229, 7634, 462, 1732, 2625, 3399, 4205, 5311, 6932, 8038, 896, 1550, 2901, 3309, 4321, 5390, 6650, 7683, 399, 1550, 2701, 3623, 4733, 5202, 6710, 7479, 993, 1550, 2751, 3960, 4205, 6000, 7035, 7821, 993, 1633, 2346, 3398, 4321, 5864, 7140, 8073, 993, 1199, 2783, 3707, 4830, 5844, 6889, 7740, 826, 1858, 3088, 3961, 5000, 5415, 6925, 7776, 778, 1858, 2563, 3543, 4536, 5457, 6376, 7856, 104, 1827, 2429, 3259, 4435, 5532, 7160, 8188, 1025, 1139, 2923, 3756, 4791, 6175, 6991, 7262, 826, 1858, 2563, 3789, 4444, 5843, 7058, 7706, 887, 1757, 2923, 3842, 4829, 5765, 6713, 7616, 545, 1550, 2791, 4067, 5149, 5810, 6315, 7983, 582, 1550, 2346, 3421, 4574, 5703, 6850, 7375, 1040, 1550, 2751, 3843, 4800, 5304, 7099, 7402, 807, 1653, 2232, 4005, 4881, 5321, 6632, 8100, 545, 1168, 2346, 3582, 4404, 5764, 7002, 7263, 487, 1655, 2258, 3623, 4509, 5934, 6983, 7869, 487, 1463, 2476, 3472, 4873, 5573, 6476, 7987, 487, 1670, 2655, 3704, 5169, 6119, 6850, 7702, 1029, 1915, 2661, 3191, 4402, 5344, 6896, 7852, 386, 1685, 2429, 3642, 4564, 5784, 6720, 7857, 504, 1865, 2481, 3949, 4942, 5573, 7023, 8197, 1035, 2095, 2678, 3634, 4792, 5824, 7244, 8202, 386, 1858, 2581, 3254, 4536, 6094, 6646, 7846, 643, 1302, 2429, 3206, 4796, 5616, 6383, 7547, 504, 1773, 2429, 3630, 5159, 5216, 6885, 7584, 1056, 1777, 3053, 4145, 4782, 5376, 6507, 7570, 804, 1721, 3144, 4085, 4630, 5883, 7084, 8147, 915, 1869, 2833, 4151, 5159, 5901, 6515, 7948, 935, 1280, 3007, 4071, 5165, 5630, 6996, 7766, 935, 2024, 3095, 4071, 4624, 6139, 6996, 7766, 818, 1847, 3135, 3866, 4583, 6139, 7132, 8196, 818, 1998, 3110, 3982, 5061, 6186, 6668, 8147, 555, 2017, 3021, 4085, 4387, 6211, 7077, 8261, 555, 1648, 2970, 3914, 4798, 5811, 6752, 7723, 859, 1695, 2340, 3838, 5060, 5550, 7201, 7641, 859, 1695, 2740, 3564, 4583, 5767, 7090, 7291, 859, 1750, 2554, 3911, 4606, 5385, 6772, 8223, 859, 1468, 2880, 4068, 4870, 5241, 7120, 7723, 859, 2127, 2560, 4068, 4398, 5550, 7124, 8076, 859, 1345, 2542, 3761, 5190, 6189, 6612, 8083, 859, 1695, 2860, 3217, 4583, 5844, 6612, 8237, 555, 1876, 2858, 4174, 4267, 5635, 7124, 8261, 105, 1695, 2792, 3873, 4423, 5534, 6589, 7723, 859, 1468, 2970, 4166, 4681, 5963, 6809, 7303, 859, 1468, 2970, 4153, 5159, 5981, 6604, 7753, 4, 2 ]

[ 1, 77, 73, 5, 76, 35, 5, 28, 52, 48, 30, 44, 55, 5, 14, 66, 5, 31, 16, 5, 29, 45, 54, 5, 5, 3, 142, 1648, 2970, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 3893, 4624, 6139, 7077, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3893, 4704, 6186, 7226, 7766, 142, 1528, 2914, 3893, 4624, 6186, 7226, 8223, 818, 1191, 2957, 3893, 4583, 5635, 7077, 7723, 419, 1191, 2957, 3914, 5104, 5241, 6972, 8179, 335, 1668, 2980, 3516, 4954, 6166, 7003, 8061, 893, 1942, 2366, 3430, 4651, 5780, 6625, 8146, 858, 1363, 3075, 4057, 4723, 6152, 6224, 8218, 223, 1566, 2440, 3543, 4717, 6006, 6494, 7873, 761, 1407, 2655, 3732, 4675, 5944, 6239, 8161, 1029, 1318, 2946, 3642, 4509, 5538, 6814, 8066, 887, 1778, 2965, 3316, 5124, 5928, 6991, 7962, 504, 1848, 2946, 3979, 4815, 5437, 6333, 8006, 784, 1179, 2678, 3218, 4857, 5613, 6411, 7367, 314, 1831, 3078, 3340, 5124, 5754, 7203, 8139, 443, 1399, 2137, 3156, 4774, 5990, 6663, 7886, 826, 1239, 2923, 3936, 5022, 5604, 6403, 7864, 1038, 1581, 2743, 3869, 4364, 5863, 7102, 7313, 405, 1534, 2515, 3826, 4423, 5216, 6586, 7774, 288, 1499, 2144, 4098, 4954, 5534, 6688, 8261, 308, 2125, 2980, 3681, 5166, 6123, 7162, 8266, 288, 1467, 3064, 4171, 5058, 5210, 6613, 7806, 804, 1218, 2783, 4174, 5080, 5612, 6688, 8237, 1056, 2125, 2980, 3516, 4379, 5219, 6979, 8236, 308, 1791, 2924, 4171, 5080, 5635, 6688, 8147, 886, 2098, 2610, 3613, 4672, 5534, 7087, 7445, 271, 1141, 2214, 3727, 4945, 5579, 6831, 7291, 569, 1708, 2477, 3395, 4418, 5927, 7013, 7435, 778, 1490, 2652, 3669, 5036, 5610, 6777, 8103, 868, 2053, 2869, 3669, 4321, 6117, 6870, 8083, 868, 2053, 3075, 3882, 4288, 6069, 6876, 7537, 920, 1820, 2139, 3838, 4486, 6040, 6630, 8190, 608, 1164, 2242, 3205, 5148, 5734, 6898, 7968, 1036, 1782, 2543, 3500, 4929, 5558, 6469, 7442, 582, 1545, 2346, 3623, 4839, 6194, 6908, 7317, 545, 1411, 2346, 3623, 4696, 5620, 7157, 7542, 545, 1550, 2934, 3669, 5151, 5524, 7222, 7873, 722, 1550, 2946, 4162, 4298, 5374, 6970, 8177, 653, 1550, 2607, 4015, 4392, 5995, 6677, 7275, 582, 1510, 2794, 3394, 4306, 5611, 6762, 7400, 582, 1411, 3040, 3709, 4715, 5710, 7229, 8064, 103, 1668, 2728, 3394, 4607, 5677, 6972, 7948, 103, 1755, 3040, 3826, 4927, 5555, 7154, 7291, 722, 1886, 3040, 4096, 4298, 5224, 6777, 7876, 653, 1669, 3040, 4096, 5138, 5663, 6466, 8097, 1098, 1550, 2829, 4025, 5124, 5700, 7215, 7502, 722, 1244, 2346, 3540, 5193, 5534, 7023, 8149, 948, 1669, 2346, 3796, 4966, 5600, 7019, 7873, 335, 1205, 2716, 4128, 4527, 5202, 6480, 8169, 767, 1446, 2834, 3981, 4374, 5615, 6265, 7658, 223, 1664, 2794, 3866, 4212, 6115, 6335, 8107, 731, 1778, 2737, 3866, 5153, 5352, 6709, 7764, 223, 1309, 2365, 4087, 4494, 5797, 6719, 7631, 868, 2091, 2720, 3206, 5138, 6016, 6976, 7515, 668, 1231, 2638, 3486, 4404, 5787, 6482, 7408, 668, 1333, 2325, 3468, 4273, 5938, 6889, 7492, 611, 1421, 3040, 3152, 5022, 5578, 6359, 7893, 840, 1424, 3040, 3252, 4248, 6136, 6458, 7309, 262, 1777, 2626, 3895, 5101, 5565, 6287, 8112, 1099, 1534, 2783, 3975, 4980, 5219, 6588, 8260, 935, 1791, 2926, 3886, 4470, 6211, 7006, 7899, 1099, 1175, 2960, 3645, 4782, 6211, 6515, 8076, 984, 1175, 2641, 3886, 5183, 6070, 7023, 8237, 901, 2030, 2775, 3710, 4801, 5706, 7006, 7894, 878, 2111, 2473, 3355, 4387, 5914, 6804, 8182, 304, 1919, 2469, 3470, 4849, 5320, 6958, 8018, 1098, 1996, 2795, 3692, 4186, 6194, 6560, 8069, 356, 1773, 2820, 3909, 5150, 5903, 6614, 7754, 512, 1777, 2915, 3776, 4387, 6205, 6809, 8076, 1097, 2000, 2803, 4114, 5166, 5694, 6996, 8080, 186, 1705, 2932, 4170, 5058, 5210, 7226, 8080, 1020, 1958, 2818, 3550, 4274, 5892, 6613, 7429, 225, 1706, 2432, 3681, 4344, 5641, 7017, 7677, 225, 2034, 2944, 3407, 4696, 5650, 6852, 7677, 334, 1750, 2432, 3681, 4859, 5515, 6365, 7887, 334, 2106, 2717, 3746, 5193, 5579, 7242, 7961, 334, 2106, 3021, 3914, 5159, 5257, 6348, 7770, 568, 1623, 2139, 3391, 4622, 5730, 7063, 7260, 568, 1958, 2398, 3470, 4852, 5830, 6248, 7727, 617, 1623, 2473, 3376, 5083, 5548, 6435, 7476, 424, 1281, 3033, 3994, 4267, 6016, 6540, 7375, 318, 2095, 2139, 3929, 5106, 5875, 6422, 7678, 668, 1550, 2249, 3416, 4321, 5342, 7017, 7510, 1080, 1834, 2161, 3424, 4330, 5706, 6732, 7534, 1023, 1302, 2830, 3172, 4413, 5863, 6574, 7510, 363, 2036, 2327, 3573, 4522, 5408, 6334, 7539, 1040, 2036, 2448, 3717, 4576, 5300, 7224, 7904, 465, 2036, 2503, 4007, 4982, 6003, 7002, 7906, 1062, 1681, 2764, 3820, 4205, 5492, 6948, 8240, 930, 1455, 2156, 3604, 4364, 5341, 6716, 7617, 465, 1832, 3001, 3936, 5193, 5610, 7003, 7360, 641, 1797, 3006, 4096, 5150, 5223, 6592, 7918, 424, 2053, 2552, 3437, 4426, 5276, 7033, 7996, 104, 1773, 2899, 3593, 4966, 5950, 6579, 7846, 1025, 1399, 2891, 3407, 4553, 5474, 7002, 8114, 826, 1255, 2349, 4103, 5153, 5204, 6393, 7918, 826, 1255, 2349, 3691, 4985, 5993, 7038, 7941, 1025, 1238, 2750, 3732, 4310, 6141, 6507, 8210, 1025, 1809, 2232, 3472, 4966, 6025, 6579, 7577, 1025, 1146, 3026, 4041, 5159, 5899, 6809, 7848, 1057, 1496, 3126, 3360, 4569, 5771, 6477, 7908, 818, 2111, 2783, 3516, 4551, 5550, 7157, 8076, 1099, 2000, 2947, 4011, 5080, 6014, 7006, 8147, 1099, 1945, 2803, 3516, 4980, 6103, 6709, 8196, 818, 1804, 2803, 3893, 5038, 5241, 7226, 8147, 1099, 1620, 2806, 3893, 4912, 6051, 7239, 7723, 555, 1620, 3021, 3982, 5038, 5635, 6810, 7485, 859, 1974, 2833, 3886, 5079, 5981, 6752, 7887, 859, 1974, 3064, 3886, 4615, 5844, 6996, 7723, 859, 2002, 2721, 3550, 5079, 5981, 6752, 8147, 105, 2106, 2554, 3761, 4398, 5811, 6604, 7723, 555, 2002, 2970, 3374, 4622, 6205, 6688, 7563, 555, 1345, 3064, 4071, 5083, 6160, 7090, 7732, 555, 1648, 2858, 4068, 4870, 5413, 7120, 8076, 859, 1750, 2970, 3891, 4512, 6182, 7152, 8237, 4, 2 ]

[ 1, 43, 48, 5, 76, 11, 78, 5, 16, 5, 52, 36, 54, 30, 5, 53, 14, 54, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 3065, 3825, 4798, 6139, 6589, 7716, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 488, 1648, 3117, 3893, 4366, 5635, 7124, 8196, 105, 1218, 2880, 4068, 5058, 5413, 7124, 7838, 955, 1550, 2369, 4039, 5160, 5313, 7010, 7965, 1033, 1206, 2710, 3764, 4777, 5829, 6625, 7494, 1004, 1550, 2188, 3979, 4321, 5745, 6241, 8128, 608, 1550, 2188, 3986, 4929, 5200, 6991, 7857, 807, 1682, 2565, 3844, 4539, 5629, 6763, 7513, 895, 2059, 2519, 3669, 4978, 6102, 6308, 8190, 150, 1655, 2708, 3314, 4546, 5604, 6607, 7939, 150, 2035, 2163, 3748, 4376, 5833, 7156, 7732, 247, 1294, 2207, 3191, 4846, 6220, 7194, 7618, 737, 1655, 2929, 3540, 5142, 5212, 6754, 7673, 896, 1509, 2727, 3551, 4541, 5972, 6692, 8055, 884, 1507, 2748, 4159, 4231, 5954, 7035, 8024, 927, 2002, 2610, 3920, 5157, 5830, 6982, 7799, 195, 1171, 3020, 3608, 5157, 5589, 6262, 7473, 901, 1917, 2874, 3231, 5011, 5825, 7060, 7867, 927, 1758, 2444, 4083, 4894, 5590, 7163, 7851, 895, 1519, 3091, 3908, 5193, 6201, 6820, 8202, 249, 1140, 3040, 3245, 4671, 5509, 6464, 7786, 363, 1346, 3014, 3547, 4927, 5970, 6601, 7442, 635, 1199, 3103, 3695, 4201, 5658, 6850, 7873, 349, 1183, 2502, 3547, 5049, 5617, 6469, 7900, 556, 1183, 3103, 3547, 4203, 5257, 6922, 7911, 1080, 1183, 2961, 3599, 4483, 5950, 6583, 8075, 864, 1129, 2868, 4022, 4842, 6154, 6432, 7810, 643, 1183, 2832, 3748, 5115, 5697, 6284, 7855, 271, 1183, 3075, 4066, 4580, 5738, 6615, 7902, 504, 1503, 2250, 3565, 4824, 5286, 6484, 7796, 386, 1503, 2961, 3233, 4882, 5711, 6830, 7593, 271, 1503, 2842, 4036, 4755, 5339, 6809, 7821, 386, 1183, 2678, 4160, 4755, 6104, 6412, 7400, 1101, 1691, 2137, 3233, 4371, 5454, 6581, 7608, 557, 1199, 2671, 3704, 4254, 6006, 6403, 7900, 723, 1628, 2751, 3442, 4612, 5457, 6951, 7534, 997, 1996, 2896, 3741, 4226, 6218, 6783, 7301, 360, 1708, 2346, 3310, 4455, 6015, 6625, 7273, 936, 2059, 2260, 3182, 4824, 6184, 6974, 7819, 536, 2059, 3088, 3403, 4197, 5788, 7140, 8178, 271, 1703, 2250, 3403, 4951, 5981, 7215, 8234, 936, 1149, 2901, 3841, 5151, 5513, 6743, 7420, 1057, 1139, 2460, 3284, 4458, 5579, 6944, 7807, 778, 2036, 2310, 3390, 4576, 5297, 7247, 7538, 1090, 1369, 3026, 3217, 5092, 5715, 6876, 8078, 610, 1455, 2365, 3369, 4925, 5413, 7162, 8267, 104, 2107, 2693, 3271, 5160, 6000, 7133, 7908, 778, 1685, 2871, 3233, 4646, 5615, 6348, 7902, 462, 1633, 2625, 3796, 4755, 5512, 6477, 7905, 880, 1472, 3003, 3820, 4241, 5696, 6382, 7905, 1040, 1397, 2871, 4073, 4364, 5890, 6869, 8081, 672, 1633, 2156, 3875, 4400, 5890, 6224, 7597, 1040, 1832, 2751, 4015, 4457, 5921, 7154, 7717, 1090, 1669, 2156, 3761, 4881, 5965, 6921, 7602, 1099, 1963, 2729, 4145, 5058, 5436, 6613, 7706, 510, 1485, 3053, 3990, 5122, 5221, 7218, 8126, 211, 1826, 3095, 3709, 5143, 6051, 6584, 7831, 571, 1945, 3043, 4174, 5075, 6007, 7162, 7887, 833, 1869, 3061, 3361, 4228, 5210, 7201, 7908, 731, 1330, 2369, 4135, 5144, 5614, 6615, 8070, 831, 1778, 2793, 4096, 4925, 5824, 7158, 7485, 610, 1809, 2440, 3983, 5122, 6063, 6830, 8126, 104, 1141, 2440, 3472, 4684, 5350, 6684, 7908, 826, 1141, 2737, 3949, 4788, 6002, 6980, 7821, 104, 1209, 2256, 3605, 5084, 5711, 6593, 8209, 993, 1455, 2506, 3154, 4437, 6181, 6780, 8239, 313, 1904, 3047, 3356, 4346, 5387, 6842, 8103, 966, 1496, 3094, 4047, 5055, 5526, 6348, 7402, 296, 2118, 2480, 3394, 4874, 5247, 6409, 8169, 873, 1154, 2750, 3394, 4876, 6123, 6409, 8268, 810, 1349, 2346, 4081, 4873, 5843, 6366, 7329, 763, 1154, 2974, 3388, 4302, 5745, 6632, 7740, 482, 1942, 2293, 3900, 4709, 5643, 6345, 7722, 620, 1526, 2196, 3936, 4728, 5716, 7043, 8262, 620, 1375, 2774, 3555, 4850, 5921, 6346, 7519, 575, 1649, 2487, 3214, 4742, 5584, 7140, 7824, 1041, 1349, 2346, 3456, 4364, 5268, 6717, 7355, 827, 1653, 2165, 3824, 4847, 5763, 6930, 7635, 482, 1706, 2299, 3824, 4682, 5341, 6528, 7488, 620, 1349, 3010, 3481, 5031, 5337, 6359, 7568, 641, 1140, 3032, 3463, 4233, 5934, 6286, 7531, 424, 1490, 2591, 4037, 4918, 5664, 6966, 7712, 955, 1428, 2312, 3917, 4374, 5478, 7247, 7877, 104, 1935, 3080, 3516, 4318, 6192, 6734, 7776, 887, 1402, 2429, 3233, 4615, 5378, 7010, 8085, 1081, 1363, 3053, 3246, 4383, 5694, 6515, 7598, 678, 1682, 2636, 4082, 4359, 6070, 6781, 7602, 970, 1773, 3085, 3917, 4531, 6007, 6579, 7799, 731, 1280, 2926, 3793, 4859, 5930, 6270, 8209, 304, 1777, 3128, 4011, 5038, 5901, 7201, 8126, 818, 1998, 2924, 3226, 5129, 6051, 6972, 8179, 186, 2017, 2991, 3367, 5129, 5661, 6709, 7764, 488, 1998, 2781, 3982, 4782, 5630, 6972, 7723, 935, 2017, 2340, 3645, 4912, 6129, 7111, 8076, 488, 1528, 2991, 3893, 4704, 5219, 7201, 8147, 818, 1648, 2164, 3893, 4798, 6129, 6752, 8196, 555, 1648, 2833, 3391, 4387, 5901, 7201, 8261, 859, 1468, 3064, 4006, 4890, 5767, 7077, 8126, 859, 1468, 2775, 3376, 4780, 5811, 6338, 7717, 859, 2002, 2970, 4125, 5007, 5901, 7077, 7476, 859, 1695, 2659, 4174, 5190, 5892, 6605, 7723, 859, 2111, 2880, 4068, 4622, 5811, 6794, 7563, 859, 1345, 2542, 3277, 4611, 5963, 6291, 7723, 4, 2 ]

[ 1, 45, 66, 5, 45, 78, 5, 16, 5, 42, 63, 48, 54, 5, 64, 62, 11, 66, 5, 44, 54, 5, 53, 33, 53, 35, 47, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1844, 2949, 3367, 4624, 5612, 6794, 8223, 488, 1406, 2164, 4170, 4822, 6081, 7226, 7766, 789, 1648, 3135, 3914, 4398, 5241, 6786, 8262, 440, 1637, 2792, 3648, 4459, 6000, 6938, 8262, 204, 1570, 2346, 3644, 4412, 6025, 7220, 8108, 769, 1164, 2692, 3535, 5142, 6056, 7043, 7873, 266, 1112, 2180, 4137, 4417, 5463, 6728, 8158, 955, 1411, 2332, 3162, 4716, 5734, 6540, 7591, 1088, 2095, 2332, 3980, 5036, 6003, 6504, 7473, 987, 1992, 2656, 4106, 4724, 5400, 7012, 7816, 545, 1233, 2332, 3669, 4712, 5840, 6870, 7557, 613, 1832, 3053, 3183, 4578, 5304, 6497, 7655, 987, 1400, 3125, 3917, 4379, 6109, 6241, 7987, 545, 1871, 3125, 3980, 4789, 6117, 6566, 7752, 1059, 1776, 2646, 3393, 5042, 6065, 7220, 8205, 576, 1521, 2377, 3533, 4793, 5665, 6449, 8031, 576, 1794, 2468, 3732, 4613, 6028, 6592, 7867, 576, 1688, 2181, 3749, 5122, 6181, 6578, 7826, 518, 1370, 3046, 4068, 5193, 6001, 6383, 7252, 518, 1265, 2754, 3550, 4829, 5767, 6918, 7794, 127, 1773, 2560, 4071, 4344, 6211, 7229, 7303, 1059, 1305, 2473, 4064, 4181, 5795, 6579, 7908, 948, 1453, 3080, 3967, 5007, 5659, 6900, 7761, 1019, 2085, 2156, 3770, 4829, 5584, 6985, 7779, 1080, 1755, 2725, 3298, 4677, 5492, 7000, 7442, 767, 2091, 2725, 3922, 4609, 6194, 6881, 7655, 804, 2073, 2167, 3178, 4225, 6175, 6889, 7764, 804, 1972, 2771, 3929, 5106, 5534, 6709, 7397, 804, 1871, 2833, 4150, 4592, 5968, 7090, 8083, 914, 1945, 2925, 3990, 5104, 6085, 7077, 7421, 488, 1945, 3065, 3982, 4980, 6129, 7226, 8147, 818, 1705, 2838, 4071, 4589, 6085, 7168, 8147, 1097, 2017, 3006, 3825, 4888, 5635, 6979, 7806, 186, 1992, 3007, 3825, 4912, 6139, 7077, 8147, 110, 1309, 3132, 3429, 4762, 5944, 7153, 8195, 110, 1737, 2633, 3169, 4792, 5548, 7114, 8177, 401, 1933, 2971, 3617, 4792, 5863, 7119, 8173, 223, 1340, 2221, 4064, 4651, 5594, 7214, 7469, 716, 1363, 2698, 3648, 5083, 6149, 6885, 7888, 262, 1363, 3143, 3929, 4877, 5982, 6975, 8218, 767, 1545, 2975, 4160, 5052, 5424, 6838, 7804, 223, 1886, 2242, 3975, 5166, 6028, 6938, 7255, 149, 1510, 2675, 3525, 4653, 5840, 7010, 8164, 722, 1118, 3053, 3751, 4399, 5658, 6458, 7811, 986, 1400, 3080, 3995, 5001, 6101, 6372, 8088, 545, 1340, 2148, 3292, 4193, 5824, 6474, 7908, 582, 1331, 2646, 3576, 4576, 5802, 6908, 8183, 613, 1928, 2225, 3963, 4258, 6041, 6905, 7957, 448, 1633, 3020, 3552, 4916, 5344, 7133, 7375, 582, 2024, 2278, 4064, 4421, 6200, 6757, 7804, 986, 1565, 3080, 3646, 4277, 5980, 6325, 7650, 1024, 1315, 2225, 3475, 4948, 5652, 6521, 7477, 722, 1912, 2579, 3540, 4556, 5368, 7014, 8178, 545, 1415, 2148, 3880, 4565, 5824, 6757, 8044, 731, 1669, 3046, 3848, 4862, 5700, 7237, 7658, 767, 1521, 2349, 3787, 4897, 5689, 6482, 7913, 223, 1916, 2520, 3771, 4831, 5767, 6239, 7902, 731, 1156, 2629, 3995, 5145, 6025, 6850, 7764, 216, 1993, 2710, 3873, 4181, 6017, 6393, 7524, 731, 1669, 3109, 3917, 4861, 5794, 6566, 7865, 216, 1385, 3053, 4153, 4573, 6014, 6677, 7607, 731, 2095, 3088, 3771, 4870, 5968, 6752, 8080, 948, 1779, 2988, 3789, 4343, 5210, 6918, 7720, 613, 1803, 3042, 3238, 4395, 5865, 7183, 7893, 654, 2125, 2554, 3967, 4650, 5485, 6671, 7538, 654, 1885, 2413, 4073, 5183, 5202, 7147, 8261, 654, 1375, 3105, 3498, 4519, 5218, 6849, 7435, 195, 1570, 2992, 4168, 5159, 5943, 6296, 7422, 654, 1108, 2542, 4006, 4459, 6115, 7232, 7831, 195, 1326, 2880, 4166, 4555, 5456, 7043, 8240, 874, 1645, 3147, 3555, 4601, 5580, 7157, 7706, 356, 1752, 2150, 4168, 5020, 6146, 6720, 7668, 213, 1750, 2941, 3803, 4704, 5963, 7006, 8179, 419, 1750, 2941, 3595, 5166, 5340, 7168, 8179, 419, 1750, 3007, 3367, 4555, 5550, 6612, 7563, 915, 1961, 2164, 3367, 4704, 6186, 6671, 7485, 915, 1961, 2806, 3367, 4704, 5241, 6794, 8196, 915, 1961, 2914, 3914, 4798, 5612, 7084, 8223, 915, 1508, 2957, 4071, 4704, 5677, 6709, 8223, 1065, 1895, 2470, 3348, 4869, 5671, 7126, 7826, 716, 1582, 2769, 3170, 5095, 5348, 7059, 8181, 858, 1702, 2286, 3489, 4671, 5312, 6328, 7868, 908, 1362, 2286, 3463, 5036, 5351, 6284, 7462, 781, 1503, 2628, 3299, 4338, 5794, 6678, 7628, 761, 1713, 2721, 3531, 4389, 6119, 7081, 7738, 113, 1974, 2476, 3478, 4271, 5348, 6354, 7772, 803, 1581, 2721, 3458, 4677, 6223, 7233, 7722, 759, 1770, 2721, 3162, 4591, 5983, 7123, 8225, 844, 1865, 3150, 3998, 4825, 5627, 6642, 7349, 776, 2020, 2455, 3206, 4203, 6094, 6264, 8082, 715, 1330, 2701, 3771, 5106, 6064, 6470, 7288, 756, 2098, 2795, 3593, 4822, 5911, 6331, 7796, 516, 1311, 2897, 3562, 4929, 5551, 6726, 7920, 955, 1519, 2470, 3973, 4181, 5836, 6790, 7563, 650, 1335, 2454, 3665, 4993, 5270, 7241, 8203, 908, 1550, 2355, 4094, 4321, 5880, 7187, 7435, 839, 1561, 2869, 3398, 4321, 5415, 7043, 8189, 881, 1287, 2129, 4037, 4576, 5666, 6829, 7504, 778, 1692, 2453, 4095, 5192, 5827, 6927, 7781, 807, 1689, 2520, 3973, 4734, 5934, 7127, 7366, 1025, 1809, 2414, 3855, 4877, 5602, 7129, 7558, 752, 1360, 3064, 3469, 4912, 5493, 7168, 8266, 104, 1255, 2678, 3963, 4276, 5631, 7019, 8099, 937, 1797, 3088, 3909, 4536, 5413, 6359, 7744, 806, 1932, 2581, 3910, 4693, 5678, 7129, 7279, 614, 2079, 2391, 3692, 4536, 5749, 7222, 7313, 1035, 1881, 3109, 3917, 5144, 5393, 7063, 8031, 752, 2053, 2391, 4030, 4525, 6092, 6870, 7336, 104, 1255, 2989, 4005, 4861, 5749, 6612, 7602, 850, 1141, 2144, 3206, 4592, 6179, 6830, 8252, 610, 1350, 2440, 3706, 4184, 6163, 6774, 8188, 610, 1692, 2440, 3427, 4326, 5894, 6982, 7965, 150, 1797, 2440, 3488, 4830, 5478, 7148, 8240, 299, 1797, 2491, 3543, 4635, 6160, 6433, 8152, 462, 1826, 2724, 3395, 4268, 5955, 6540, 8034, 326, 1636, 2937, 4015, 5110, 6116, 7233, 7419, 681, 1550, 2271, 3769, 4205, 5486, 6257, 7811, 535, 1266, 2725, 3615, 4915, 6145, 6313, 7838, 247, 1476, 2974, 3171, 4539, 5735, 6710, 8140, 536, 2118, 2346, 4088, 5118, 5645, 6557, 7898, 850, 1797, 2207, 3954, 4444, 5696, 6492, 7762, 778, 1797, 2885, 3885, 4807, 5350, 7025, 8112, 887, 1944, 2809, 3963, 4546, 5843, 7030, 8069, 1025, 2084, 2207, 3870, 4690, 5886, 6283, 7732, 408, 2059, 2990, 3363, 5085, 5764, 6684, 7885, 937, 1935, 2309, 3342, 4688, 5289, 6892, 8114, 831, 1468, 2661, 3776, 4709, 6187, 6847, 7476, 1035, 1734, 2470, 4137, 4470, 5681, 6506, 7831, 880, 1140, 2791, 3963, 4570, 5781, 6348, 7702, 778, 1660, 3044, 3754, 4546, 5880, 6999, 8242, 1005, 2052, 3149, 3391, 4709, 5807, 6437, 7627, 1035, 1581, 2210, 3556, 4811, 5734, 7227, 7746, 1005, 1454, 2346, 3277, 4801, 6199, 6929, 7750, 373, 1663, 2151, 3848, 5096, 5811, 6431, 7494, 970, 1332, 2450, 3770, 5088, 5894, 7100, 7936, 970, 1386, 2639, 3555, 4829, 6109, 6783, 7583, 373, 1673, 2878, 3298, 4176, 5620, 6829, 7988, 645, 1139, 2878, 3811, 4573, 5555, 6463, 8078, 91, 1164, 2762, 3430, 4825, 5656, 6456, 7872, 725, 1373, 2941, 3941, 4724, 5714, 6680, 7259, 585, 1777, 2432, 3511, 5072, 6117, 6284, 7809, 495, 1557, 2594, 3488, 4297, 5872, 6980, 7430, 620, 1349, 2751, 3771, 4767, 5586, 6591, 8038, 397, 1527, 2720, 3812, 4459, 6168, 6569, 7960, 668, 1112, 3116, 4101, 4678, 5695, 6763, 7469, 995, 1842, 2355, 3421, 4444, 5837, 7071, 7696, 995, 1289, 2180, 3210, 4541, 5298, 7125, 7900, 995, 1118, 2355, 4072, 4371, 5524, 6371, 7693, 545, 1689, 2601, 3676, 5031, 5749, 6680, 7505, 115, 1120, 2346, 3350, 4949, 5584, 6754, 8015, 646, 1289, 2543, 4037, 5142, 5547, 7038, 7524, 825, 1289, 2346, 3933, 4455, 5396, 7125, 7816, 390, 1205, 2593, 3857, 5014, 5433, 6348, 7584, 308, 2034, 2760, 3366, 4782, 5837, 6762, 7750, 956, 1186, 3095, 3405, 5053, 6123, 7239, 7717, 818, 1191, 3095, 3914, 5106, 5705, 7120, 8147, 213, 1175, 3021, 4114, 5061, 6103, 6996, 7485, 213, 1844, 3007, 3990, 4681, 6139, 7084, 8196, 142, 2017, 2914, 3825, 4704, 6139, 7077, 8147, 142, 2017, 2914, 3825, 4704, 6139, 6794, 8147, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 915, 1750, 3133, 4071, 4555, 5635, 6996, 7715, 419, 1648, 2316, 3753, 4555, 5514, 7006, 7537, 419, 1750, 2316, 4015, 4549, 6139, 6291, 8196, 419, 1750, 2316, 3753, 4916, 5241, 6717, 7949, 915, 1961, 2316, 3723, 4304, 5678, 6338, 8080, 4, 2 ]

[ 1, 62, 63, 47, 51, 36, 64, 35, 78, 5, 17, 75, 5, 16, 5, 76, 26, 54, 30, 5, 5, 3, 945, 1528, 2806, 4068, 4888, 6211, 7124, 8147, 142, 1622, 2806, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4624, 6186, 6794, 8147, 541, 1752, 2975, 4065, 4877, 5325, 6792, 7363, 579, 1141, 3139, 3987, 4344, 6078, 6504, 7297, 216, 2106, 2559, 3929, 4890, 6123, 6826, 8124, 204, 1736, 2352, 3956, 5166, 5886, 7021, 7891, 1098, 1323, 2514, 3944, 4378, 5437, 6978, 7549, 1006, 1640, 2378, 4043, 4664, 5407, 7247, 7588, 722, 1732, 2994, 3770, 4829, 6135, 7143, 7799, 487, 2056, 2717, 3570, 4906, 5935, 7202, 8158, 722, 1550, 2429, 3570, 4780, 5903, 7114, 7678, 986, 1827, 2867, 3394, 4635, 6119, 7143, 7537, 304, 1269, 2960, 4162, 4776, 5548, 6876, 7318, 512, 1869, 2659, 4145, 4822, 5892, 6988, 8185, 512, 1876, 3043, 3376, 4555, 6146, 7099, 7881, 1097, 2063, 2946, 4174, 5104, 5892, 6979, 8076, 935, 1705, 2164, 4174, 4287, 6182, 7207, 7485, 475, 1147, 2941, 3891, 5159, 6175, 7207, 7876, 878, 1108, 2147, 3375, 4330, 6149, 6677, 7293, 707, 1597, 2609, 3826, 4566, 5436, 6347, 7510, 153, 2111, 2709, 3608, 4763, 5581, 6734, 7716, 579, 2002, 3004, 4153, 4862, 5695, 7010, 7664, 579, 2065, 3109, 3298, 5020, 5386, 6663, 8164, 171, 1510, 2366, 3962, 4844, 6149, 6787, 7502, 160, 1171, 2998, 4025, 4329, 5671, 6566, 7385, 318, 1688, 2987, 3643, 4705, 6128, 6642, 8061, 840, 1510, 2602, 3459, 4609, 6167, 7082, 7620, 386, 2085, 2378, 3899, 5162, 6062, 7222, 7837, 725, 1278, 2378, 3560, 4254, 5745, 6605, 8000, 692, 1333, 2378, 3717, 4636, 5866, 6962, 7261, 249, 1758, 2726, 3605, 4550, 6118, 6870, 8044, 725, 1510, 2726, 4083, 4848, 6140, 7066, 7852, 942, 1510, 2933, 3687, 4321, 5918, 6884, 8215, 1057, 1206, 2429, 3437, 4280, 5934, 7197, 7441, 317, 1553, 2688, 3424, 4795, 5811, 6603, 7790, 225, 2059, 2801, 4085, 5007, 5378, 6474, 7303, 225, 1424, 3147, 4103, 4513, 5548, 7100, 7383, 225, 1789, 3128, 3662, 4736, 5678, 7019, 7677, 568, 1880, 2692, 4073, 5079, 5436, 7048, 7627, 518, 2111, 2858, 3891, 4611, 5515, 7230, 7592, 225, 1286, 2959, 3376, 4398, 5719, 6291, 7777, 757, 1122, 2156, 3914, 4398, 5650, 6671, 7677, 859, 2002, 2946, 3803, 4423, 5202, 6752, 7559, 304, 2111, 2771, 3413, 4350, 5802, 6840, 7602, 752, 2001, 2543, 3537, 5145, 5693, 6691, 7800, 936, 1510, 2547, 3639, 4545, 5823, 6334, 7917, 536, 1239, 2744, 3167, 4636, 5589, 7030, 7894, 299, 1758, 2390, 3169, 5029, 5965, 6973, 7831, 840, 1758, 2389, 3822, 4669, 6158, 6346, 8205, 840, 1692, 2235, 3375, 4287, 5776, 6849, 7842, 840, 1692, 2564, 4153, 4810, 5686, 6573, 8069, 535, 1555, 2740, 3979, 4736, 5814, 6334, 8201, 993, 1820, 2378, 3407, 5065, 5379, 6579, 7967, 271, 1510, 2564, 3755, 4969, 5934, 6224, 7375, 271, 1510, 2642, 4126, 5031, 5653, 6670, 7756, 895, 1510, 2444, 3943, 4959, 5509, 6426, 7794, 271, 1635, 2156, 3943, 4485, 5425, 6370, 7908, 1090, 1494, 2346, 3430, 5096, 5438, 6677, 7811, 317, 1489, 2289, 3445, 4818, 5828, 7140, 7757, 225, 1880, 2953, 3749, 4925, 6074, 6851, 8117, 518, 1468, 2953, 4088, 4541, 5276, 6380, 8132, 518, 1749, 2461, 3671, 5159, 5223, 7103, 8044, 127, 1467, 3144, 3951, 4859, 6179, 7111, 8132, 440, 1116, 3052, 3918, 4859, 5792, 6639, 7689, 750, 1523, 3139, 4145, 4535, 5963, 7181, 7421, 893, 1507, 2480, 4007, 4228, 5500, 6267, 8232, 492, 1934, 2312, 3413, 4804, 5982, 6325, 7739, 247, 1168, 2486, 3417, 4699, 6172, 6523, 8270, 976, 1589, 2869, 3372, 4364, 5943, 7064, 8039, 271, 1199, 3038, 3634, 4518, 5905, 6856, 8073, 424, 2125, 2866, 4171, 4831, 5650, 7199, 8267, 756, 1237, 2838, 4166, 4321, 5405, 6829, 7997, 715, 1939, 3007, 3603, 4589, 5781, 6820, 7887, 881, 1873, 2381, 3299, 4715, 5984, 6242, 7451, 443, 1468, 2977, 3999, 4635, 5325, 6638, 8123, 443, 1469, 3089, 3968, 4321, 5311, 6851, 7680, 778, 1503, 2993, 3253, 5123, 5369, 7072, 7954, 778, 1503, 2556, 3253, 4639, 5318, 6848, 7521, 778, 1469, 2826, 3348, 4356, 5954, 6550, 7883, 887, 1529, 2273, 3540, 4518, 5796, 6533, 8048, 104, 1318, 2363, 3704, 4567, 6056, 6467, 8039, 663, 1728, 2583, 3495, 4198, 5684, 6408, 7936, 424, 1255, 2476, 3371, 4470, 6026, 7111, 7607, 1090, 1660, 2272, 3917, 4447, 5305, 6961, 7776, 610, 1672, 2534, 3516, 4833, 5221, 7162, 8026, 645, 1919, 2586, 4067, 5061, 6007, 6515, 7631, 641, 1867, 2771, 3512, 4780, 5568, 6551, 7732, 150, 1878, 2266, 3427, 4929, 5754, 7073, 7849, 786, 1770, 2207, 3764, 4807, 5828, 6351, 7439, 862, 1283, 2401, 3941, 4596, 5200, 6563, 7587, 807, 1918, 2566, 4162, 4716, 5408, 6883, 7629, 1040, 1397, 2885, 3423, 4448, 5739, 6883, 8049, 918, 1732, 2181, 3749, 4246, 5706, 7053, 7756, 952, 1942, 2825, 3480, 4594, 5725, 6271, 7929, 884, 1164, 2181, 4110, 5188, 5918, 6708, 7990, 815, 1998, 2181, 4095, 4985, 5752, 7072, 7542, 725, 1316, 3013, 4025, 4717, 5320, 6231, 7534, 959, 1623, 2389, 3778, 5090, 5765, 6239, 7838, 663, 1771, 2429, 3987, 4893, 6123, 7120, 7815, 571, 1146, 2946, 4114, 5159, 5908, 6908, 7920, 678, 2090, 2946, 4152, 5020, 5749, 7120, 8209, 955, 2001, 2265, 3488, 4622, 6195, 6668, 8092, 678, 2090, 2946, 4152, 5020, 5678, 7127, 7941, 955, 1791, 2515, 3380, 4437, 6025, 6709, 7658, 767, 1797, 2803, 4145, 4287, 5289, 6526, 7423, 955, 1455, 2440, 3681, 5145, 5761, 7168, 8209, 678, 1577, 3080, 3300, 5169, 6222, 6715, 8188, 955, 1915, 2515, 3885, 4551, 6203, 6740, 7664, 663, 1893, 2515, 3788, 4574, 5573, 6443, 7582, 779, 1591, 2940, 4145, 4533, 5653, 6702, 7393, 1056, 2000, 2760, 3472, 4912, 5294, 7207, 7908, 288, 1847, 2793, 4068, 5106, 5824, 6972, 7753, 397, 1198, 2924, 3487, 4335, 5432, 6760, 7914, 725, 2108, 2429, 4078, 4316, 5325, 6800, 8209, 884, 1510, 2409, 3660, 4437, 5568, 6565, 7919, 137, 1510, 2149, 4025, 4875, 5335, 6563, 7505, 265, 1706, 2436, 3820, 5042, 6144, 6842, 7831, 844, 1835, 2750, 3508, 4459, 5429, 7044, 7672, 308, 2111, 2941, 3949, 4918, 5911, 6466, 7509, 935, 1945, 2944, 4026, 4513, 6051, 6961, 8195, 984, 1424, 2970, 3680, 4553, 5705, 7149, 7985, 488, 1218, 2996, 4114, 4867, 6103, 7090, 8076, 935, 2017, 2803, 3803, 4980, 5630, 7006, 7949, 818, 2017, 2914, 3893, 4888, 6139, 7239, 7876, 818, 2017, 2914, 3893, 4624, 6186, 6794, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 4, 2 ]

[ 1, 30, 26, 54, 16, 53, 27, 66, 5, 5, 5, 44, 54, 17, 41, 5, 17, 75, 5, 45, 66, 5, 5, 5, 76, 45, 52, 5, 41, 45, 54, 44, 65, 5, 31, 33, 53, 5, 20, 41, 5, 5, 3, 390, 1676, 2483, 3384, 4228, 5661, 6566, 7508, 980, 1227, 3039, 4145, 4968, 6051, 6709, 7717, 374, 1695, 2750, 3882, 4868, 5825, 6789, 7981, 462, 1832, 2482, 3528, 5045, 5648, 6706, 7749, 1019, 1349, 3106, 3623, 4955, 5492, 6461, 7659, 997, 1826, 3103, 3991, 4417, 5325, 6760, 7903, 943, 1440, 2705, 3451, 4226, 6002, 6423, 7889, 493, 1607, 2814, 3735, 4943, 5512, 6494, 8203, 113, 1934, 3061, 3511, 4742, 5566, 6659, 7263, 584, 1826, 2474, 4112, 4604, 5776, 6692, 7605, 1101, 1609, 2307, 3706, 4748, 5533, 7052, 7974, 774, 1397, 2897, 3176, 5054, 5643, 7156, 8118, 807, 1397, 2673, 4037, 4880, 5729, 7033, 8160, 807, 1118, 3116, 3967, 4742, 5576, 6458, 7817, 936, 1550, 3116, 3568, 4678, 5616, 7112, 7904, 1057, 1732, 2951, 3558, 4321, 5517, 6385, 8227, 408, 1227, 2661, 4094, 4981, 6174, 7049, 7962, 850, 1671, 2436, 3514, 4832, 5409, 6655, 7966, 778, 1397, 2563, 3731, 4791, 5844, 6832, 7542, 672, 1349, 2242, 4126, 4275, 5768, 6456, 8178, 862, 1881, 2751, 3593, 4876, 5444, 6251, 7849, 776, 1498, 2207, 3949, 5106, 5341, 6507, 7887, 104, 1550, 2298, 3472, 5052, 5597, 6603, 8161, 778, 2090, 2534, 3464, 4667, 5972, 6860, 7458, 850, 1182, 2615, 3507, 4946, 5390, 6313, 8164, 778, 1878, 2595, 3856, 4214, 6191, 6677, 7718, 936, 1660, 2835, 4091, 5182, 5623, 6750, 7995, 472, 1912, 2670, 3438, 4337, 5390, 6519, 8061, 313, 1301, 2374, 3677, 4531, 5617, 6306, 7365, 810, 2107, 2300, 3416, 4539, 5411, 7210, 7596, 480, 1854, 2751, 3366, 4368, 6190, 6997, 7986, 1041, 1821, 2363, 3573, 4437, 6135, 6610, 8226, 880, 1316, 3013, 3568, 5011, 5789, 6958, 7534, 620, 1631, 2401, 3741, 5070, 5693, 6650, 8197, 887, 1640, 2232, 3221, 5074, 6002, 6891, 7906, 1090, 1388, 2232, 3307, 5053, 6208, 7053, 7785, 1090, 1411, 2232, 3960, 4881, 6028, 7019, 7773, 1090, 1773, 2872, 3201, 4225, 5767, 6839, 7557, 1097, 2017, 2586, 3886, 4822, 5687, 6979, 8237, 915, 1620, 2957, 3914, 4551, 5241, 7132, 8076, 935, 1218, 2803, 4006, 5129, 6025, 7239, 8083, 356, 1684, 2925, 3886, 4918, 6222, 6491, 7831, 105, 1286, 2356, 3994, 5145, 5514, 6870, 8195, 818, 1998, 2833, 4114, 4704, 5548, 7047, 8083, 860, 2017, 3065, 3825, 4630, 6139, 6794, 8147, 488, 2017, 2914, 3825, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 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, 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, 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, 3893, 4798, 6186, 7124, 8223, 419, 1622, 2164, 3893, 4398, 6211, 6840, 7715, 335, 1685, 2542, 4037, 4954, 5590, 7149, 7288, 1004, 1255, 2867, 3307, 4402, 5797, 6531, 7442, 487, 1374, 2923, 3356, 4448, 5200, 6225, 7336, 487, 1863, 2923, 4162, 4755, 5765, 6287, 7835, 443, 1550, 2923, 3695, 4364, 5978, 6255, 7336, 807, 1335, 2346, 3613, 4270, 5898, 7030, 7673, 936, 1350, 2817, 4025, 5011, 5843, 6619, 7809, 487, 2055, 2142, 3964, 4678, 5325, 6566, 8123, 408, 1459, 2366, 3394, 4804, 5449, 6470, 7628, 850, 1182, 2436, 3246, 5073, 5935, 6314, 8034, 778, 1255, 2429, 4055, 4861, 5366, 7164, 7941, 104, 1717, 2272, 3298, 4588, 5485, 6520, 7902, 826, 1350, 2429, 3931, 5073, 5423, 6974, 7918, 408, 2053, 2218, 3669, 4525, 5970, 7070, 7557, 850, 1146, 2775, 3796, 5169, 5950, 7157, 8259, 826, 1455, 2693, 4039, 4748, 5204, 6704, 8195, 465, 1397, 2652, 4078, 4881, 5620, 7205, 7468, 381, 1938, 2797, 3261, 4886, 5321, 6977, 8212, 1036, 1494, 2186, 4053, 4208, 5810, 7107, 7976, 840, 1650, 2751, 3543, 4274, 6031, 7002, 7614, 662, 1919, 2635, 3601, 4955, 5512, 6357, 7513, 641, 1704, 2868, 3162, 4310, 5632, 7241, 8016, 405, 1444, 2860, 3755, 4635, 5717, 6820, 7266, 789, 2098, 2473, 3788, 4456, 6131, 7143, 8238, 256, 1452, 2724, 3413, 5129, 5761, 6896, 7966, 440, 2106, 2468, 3680, 4861, 6129, 7168, 7393, 256, 1851, 3147, 3803, 4287, 5219, 6607, 8126, 518, 2098, 3144, 3395, 4191, 5534, 6566, 7260, 272, 1752, 2860, 4092, 5098, 5474, 6706, 8071, 512, 1499, 2754, 3987, 5104, 6025, 7168, 7768, 1067, 2028, 2301, 3398, 4310, 6096, 6684, 7892, 1067, 1438, 2137, 3992, 4716, 5851, 6348, 8208, 840, 1339, 2751, 3520, 5138, 5643, 7133, 7694, 492, 1293, 2697, 3394, 4308, 5473, 6628, 7833, 192, 1786, 2837, 3356, 4364, 5819, 6910, 8001, 895, 1603, 2515, 3453, 4539, 5944, 6292, 7964, 938, 1173, 3149, 3460, 4597, 5816, 6884, 8240, 663, 1562, 2436, 3352, 4780, 6056, 6737, 7690, 779, 1768, 2661, 3795, 4595, 6195, 6849, 8073, 857, 1508, 2709, 4038, 5022, 5963, 6627, 8081, 678, 1878, 2703, 3732, 4902, 6164, 7023, 7476, 672, 1758, 3019, 3928, 5085, 6204, 6426, 8200, 723, 1510, 2751, 3864, 4259, 5971, 6813, 7398, 876, 1553, 2688, 3353, 4218, 5223, 7072, 7341, 1019, 1388, 2751, 4074, 4926, 6135, 6657, 7971, 1038, 1808, 2830, 4074, 4522, 6178, 6439, 7807, 1090, 1821, 2210, 4006, 4604, 5437, 6525, 8256, 1099, 1175, 2833, 3994, 4287, 5942, 7058, 8126, 818, 1856, 3021, 3440, 4870, 5438, 6786, 8260, 935, 1608, 3144, 3886, 5104, 5767, 6988, 7876, 859, 2000, 2925, 3994, 4870, 6195, 6776, 7899, 914, 2111, 3095, 4145, 5080, 5767, 6677, 8267, 818, 1684, 2991, 4085, 5088, 6085, 6972, 7732, 488, 2017, 3135, 3803, 5038, 5241, 6988, 8147, 818, 1622, 3135, 3188, 4624, 6129, 6972, 7806, 488, 1528, 2914, 3893, 4624, 6081, 7201, 7766, 818, 1622, 3095, 3893, 5080, 6081, 6979, 8260, 818, 2017, 3065, 3893, 4798, 6186, 6794, 8196, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3825, 4624, 6081, 6794, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 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, 2914, 3825, 4798, 6186, 6794, 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, 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, 1528, 2914, 3825, 4624, 6081, 7226, 8196, 831, 1296, 3135, 3671, 5085, 5661, 6588, 8076, 1033, 1563, 2944, 4093, 4337, 5287, 7222, 7906, 893, 1754, 2944, 3991, 4356, 6113, 6622, 7896, 536, 1269, 2520, 4079, 4557, 5843, 6533, 7362, 104, 1674, 2944, 3437, 4543, 5592, 6822, 7422, 936, 1838, 2583, 3975, 5110, 5674, 6933, 7337, 936, 1655, 2867, 3842, 4242, 5344, 6947, 7463, 526, 1826, 2868, 3187, 4604, 5843, 6763, 8271, 487, 1826, 2382, 3770, 4364, 6004, 6728, 7994, 895, 1826, 2629, 3613, 4755, 5625, 6977, 8079, 1080, 1199, 2149, 3749, 4887, 6201, 6986, 7821, 831, 1903, 2373, 3418, 4273, 5356, 6651, 7652, 1024, 1440, 3061, 3748, 4364, 5995, 6349, 7254, 1024, 1440, 2369, 3870, 4589, 5954, 7086, 8140, 678, 1889, 2389, 3376, 4374, 5390, 7111, 7934, 899, 1762, 2555, 3430, 5098, 6128, 6899, 7476, 518, 1479, 2912, 4045, 5183, 6006, 6344, 7487, 256, 2030, 2315, 3550, 5072, 5890, 6736, 7549, 617, 1597, 3006, 4071, 4374, 5296, 6612, 7806, 440, 2106, 2638, 4114, 5157, 5580, 6892, 7683, 256, 1998, 3147, 3917, 4467, 5565, 6291, 7717, 440, 2127, 2746, 3937, 4844, 5730, 7221, 7262, 901, 2097, 2503, 3201, 4844, 5963, 7084, 7602, 256, 2030, 2833, 4153, 5083, 5219, 7207, 7865, 1102, 2085, 2151, 3231, 4592, 5730, 7184, 7658, 247, 1472, 2515, 3821, 5160, 5751, 7169, 7442, 944, 1553, 2327, 3395, 4364, 5880, 6293, 7270, 672, 1550, 3116, 3162, 4205, 6122, 6885, 8104, 1040, 1118, 2751, 3593, 4982, 6066, 7227, 7398, 850, 1126, 2675, 3934, 4343, 5979, 6812, 7752, 831, 2107, 2279, 3714, 4859, 5386, 7030, 7448, 424, 1485, 2926, 3963, 4667, 5911, 6485, 7929, 391, 1455, 2210, 3616, 4276, 5687, 6734, 7720, 582, 1834, 2282, 3437, 4510, 5706, 6401, 7256, 335, 1942, 2480, 3183, 5189, 6201, 6619, 7530, 807, 1881, 3116, 4088, 4371, 5558, 6576, 7858, 970, 1164, 2751, 3430, 4764, 5611, 7086, 7809, 103, 1363, 2924, 3513, 4379, 5529, 6906, 7535, 757, 1494, 3005, 3521, 5026, 5608, 6660, 7880, 183, 1958, 2398, 3838, 4582, 5814, 7183, 7811, 225, 1958, 2341, 3803, 4421, 5963, 6895, 7732, 225, 1286, 2163, 3930, 4762, 5397, 6734, 7732, 225, 1286, 2781, 3596, 4214, 6065, 6430, 8267, 228, 1695, 2941, 3487, 4644, 6205, 6677, 8150, 228, 1108, 2469, 3832, 4780, 6205, 6677, 7537, 555, 2017, 2659, 3994, 4870, 5580, 7239, 7715, 475, 2017, 3008, 3827, 5166, 5436, 7239, 7838, 899, 2068, 2560, 4114, 4551, 5892, 7090, 7766, 304, 1333, 2654, 3983, 4267, 5436, 7207, 8061, 271, 1299, 2678, 3216, 4611, 5825, 7219, 8077, 535, 1139, 2606, 3259, 4402, 5588, 6563, 8011, 991, 2053, 2625, 3530, 4459, 5523, 6881, 7445, 247, 1636, 2465, 3482, 4205, 5527, 6244, 8069, 1080, 1609, 2282, 4076, 4607, 6005, 6777, 7921, 937, 1858, 2429, 3679, 5150, 5618, 6650, 8255, 104, 1277, 3036, 3593, 4641, 5320, 7246, 8016, 826, 1858, 2887, 3416, 4935, 5589, 6663, 7927, 104, 2107, 2923, 3384, 4816, 5810, 6754, 7742, 778, 1380, 2429, 3352, 4321, 5601, 6688, 8135, 536, 1228, 2173, 3203, 4949, 5532, 7204, 7997, 208, 1469, 3061, 3181, 4620, 5643, 6840, 7615, 862, 1352, 2173, 3986, 4364, 6096, 6619, 7484, 508, 1489, 2653, 3741, 4216, 5803, 6635, 7747, 1063, 1817, 2861, 3409, 4607, 5643, 6414, 7279, 763, 1543, 2393, 4034, 4995, 5208, 6542, 8240, 100, 1704, 2383, 3769, 4447, 5699, 6928, 7846, 371, 1898, 3148, 3907, 4735, 5783, 6849, 7584, 110, 1843, 3010, 3544, 4324, 5659, 6361, 8061, 110, 1747, 2756, 3740, 4653, 5273, 6953, 8150, 110, 1224, 2592, 3630, 5189, 6167, 6422, 7389, 450, 1998, 2941, 3240, 4971, 5696, 6347, 8126, 1051, 1485, 2866, 3752, 4867, 5948, 7223, 7458, 684, 1984, 2947, 3886, 4895, 5931, 7058, 7421, 1097, 1648, 3065, 4041, 5104, 6182, 6771, 8054, 878, 1851, 2991, 3364, 4512, 6137, 7160, 8195, 256, 2060, 2970, 3803, 4861, 6065, 7168, 7524, 256, 1851, 2729, 3932, 4512, 5761, 6605, 7876, 878, 1623, 2473, 3770, 5165, 6110, 7239, 7485, 617, 1851, 3095, 4004, 4334, 5515, 6349, 7949, 789, 2106, 3062, 3440, 4916, 5219, 7129, 7563, 789, 2002, 3147, 4145, 4549, 5413, 7132, 8261, 105, 1648, 2340, 3595, 4918, 5436, 7129, 7706, 555, 1623, 2340, 3595, 5007, 5219, 7069, 8147, 555, 2106, 2560, 3595, 4536, 5892, 6589, 7732, 186, 2073, 2729, 4006, 5104, 5901, 7077, 7766, 860, 1528, 2806, 3932, 4624, 6139, 7077, 7766, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 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, 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, 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, 26, 5, 62, 63, 11, 53, 16, 64, 5, 54, 11, 66, 5, 66, 73, 5, 52, 14, 41, 5, 5, 3, 142, 2017, 2914, 3825, 4512, 6211, 7226, 8147, 915, 1750, 2858, 3595, 4798, 5963, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7715, 142, 1528, 2914, 3893, 4704, 6139, 7226, 8196, 555, 2073, 2164, 4113, 5060, 5635, 6794, 7876, 878, 2088, 2409, 3671, 5138, 5550, 6331, 7816, 1040, 1386, 2409, 3168, 4661, 6125, 6678, 7972, 441, 1503, 2423, 4127, 4887, 5374, 6468, 7593, 441, 2011, 2861, 3348, 4664, 5559, 6704, 8182, 870, 1575, 2725, 3419, 4740, 5345, 6578, 7951, 1003, 2118, 2352, 3518, 4489, 5955, 6414, 7755, 512, 1415, 2396, 3801, 4787, 6001, 6605, 8236, 1099, 2065, 2144, 3487, 5038, 6000, 6709, 8185, 186, 1750, 2781, 3240, 4215, 5385, 6688, 7720, 935, 2065, 3043, 4114, 4630, 5534, 6467, 7949, 337, 1705, 2340, 3226, 4630, 6139, 6786, 8083, 484, 1804, 2959, 3226, 4870, 5378, 7201, 7591, 541, 1620, 2316, 3749, 5169, 5893, 6719, 7777, 541, 1758, 2316, 3245, 5128, 5548, 6239, 8266, 579, 2106, 3021, 3623, 4442, 5805, 7100, 7890, 153, 1509, 3021, 3918, 4470, 5612, 6541, 7355, 392, 1605, 3023, 3310, 5138, 5740, 6792, 7813, 1067, 1162, 2741, 3822, 4755, 5401, 6638, 7542, 360, 1633, 2667, 3398, 5128, 6210, 7223, 7604, 360, 1503, 2728, 4099, 4924, 5872, 6592, 8000, 1067, 1527, 2861, 3577, 4394, 6135, 6792, 7497, 778, 1702, 2367, 3691, 4806, 5221, 6664, 7263, 1090, 1146, 2595, 3837, 4531, 5488, 6734, 7831, 778, 1141, 2693, 3307, 4784, 5788, 6708, 7367, 850, 1838, 2940, 4096, 5127, 5605, 6426, 7815, 778, 1141, 2520, 3361, 4901, 5413, 6768, 7962, 850, 1858, 2187, 3870, 4936, 5474, 6272, 7631, 1057, 1930, 2661, 3396, 4741, 5990, 6640, 7592, 407, 1620, 2741, 3894, 4459, 5627, 6522, 7655, 881, 1770, 2429, 3383, 4636, 6158, 6789, 7635, 708, 1510, 2979, 3820, 4669, 6114, 6422, 7376, 878, 1557, 2678, 3994, 4183, 5788, 7000, 7438, 225, 1459, 2230, 4026, 4819, 5546, 7129, 8238, 334, 1801, 2788, 3532, 4236, 5343, 6614, 7267, 225, 1853, 2156, 3662, 4673, 5385, 7000, 8205, 240, 1550, 3110, 3391, 5088, 5689, 6740, 8261, 510, 1851, 2754, 4103, 4980, 5942, 6979, 7677, 779, 1620, 2560, 3866, 5079, 5297, 6338, 7806, 304, 1333, 2783, 3704, 4918, 6051, 6988, 7992, 887, 2033, 2474, 3966, 5193, 5298, 6349, 8001, 462, 1826, 3010, 3225, 4531, 5286, 7043, 7978, 766, 1650, 2748, 3894, 4855, 6017, 6909, 7730, 1070, 1503, 2974, 3833, 5001, 5941, 6581, 8112, 673, 1199, 2905, 3820, 4760, 6202, 7054, 7855, 1070, 2026, 2713, 3474, 4647, 5764, 6674, 7365, 508, 1886, 2606, 3969, 4436, 5460, 6674, 8015, 1091, 1248, 2532, 3281, 5081, 5574, 6828, 7987, 1099, 1196, 2591, 3894, 4670, 5381, 6929, 7677, 488, 2073, 3095, 3374, 4551, 6205, 6850, 7876, 935, 1705, 3150, 3886, 4387, 6085, 6809, 7876, 935, 1218, 2975, 3374, 5058, 5241, 6750, 7717, 935, 2073, 3007, 4114, 4630, 5966, 6774, 7949, 617, 1974, 2984, 4026, 4870, 5983, 6980, 7636, 195, 1440, 2941, 3518, 4665, 5734, 6648, 7574, 568, 1597, 3105, 3798, 4326, 6137, 7152, 7563, 757, 1596, 2839, 3470, 4423, 5223, 7106, 7929, 401, 1173, 3147, 3231, 4912, 5631, 6774, 7405, 223, 1812, 2409, 4055, 4555, 5827, 6891, 7494, 948, 1346, 2373, 3179, 4459, 6187, 6778, 7689, 850, 2117, 2152, 3479, 4561, 5223, 7057, 7524, 881, 2043, 3019, 3396, 5004, 5982, 6478, 7869, 938, 2050, 2495, 3478, 4332, 5440, 6520, 7336, 1052, 1850, 2173, 3372, 5081, 5610, 6367, 7630, 995, 1740, 3122, 4007, 4934, 5431, 6426, 7621, 1101, 1740, 3129, 3773, 4184, 5557, 7186, 7752, 1036, 1440, 2137, 3623, 4462, 5814, 6626, 7738, 1100, 2058, 2670, 4035, 4894, 5958, 6932, 7909, 900, 1183, 2540, 3690, 4755, 5557, 6525, 7936, 810, 1183, 2260, 3958, 5128, 5492, 7122, 7613, 428, 1183, 2751, 3356, 4799, 6181, 7135, 8105, 179, 1183, 2192, 3573, 4824, 5557, 6828, 7578, 966, 1345, 3040, 3714, 4281, 5799, 7115, 7786, 810, 1529, 2751, 3313, 4357, 5337, 6764, 8068, 179, 1137, 3040, 3699, 4734, 5369, 6936, 7752, 302, 1354, 3066, 3524, 4364, 6125, 6289, 7803, 673, 1627, 2869, 3481, 4364, 5501, 7071, 8217, 242, 1513, 2869, 3641, 4604, 5791, 6587, 8136, 575, 1503, 2755, 4028, 4326, 5389, 7022, 7442, 942, 2120, 2869, 4007, 4466, 5899, 6681, 8224, 373, 1812, 2869, 3181, 4236, 6144, 6408, 7962, 304, 1407, 2307, 3676, 4326, 5684, 6909, 7720, 484, 1467, 2493, 3595, 4456, 5294, 7120, 8026, 475, 1534, 2679, 4068, 4782, 5650, 6988, 7602, 256, 1525, 2959, 3512, 4727, 5223, 6386, 7941, 789, 1940, 2363, 3364, 4583, 5385, 7090, 8253, 256, 2032, 2880, 3646, 4554, 6175, 7019, 7883, 256, 2106, 3000, 3803, 4888, 5219, 6515, 7919, 256, 2111, 2970, 3364, 5075, 6205, 6612, 8185, 878, 1750, 2473, 4150, 4536, 5550, 6810, 7717, 256, 2073, 2340, 3440, 5075, 5413, 6772, 8076, 256, 1147, 2740, 3761, 4888, 6110, 6338, 8236, 617, 1851, 2970, 3798, 4852, 5360, 7084, 8093, 256, 1750, 2560, 4111, 4859, 5515, 6810, 8093, 105, 2060, 2560, 3662, 4387, 5901, 6607, 7677, 105, 2073, 3133, 3827, 4387, 5219, 6238, 8266, 555, 2111, 2656, 3891, 4583, 5672, 6677, 7563, 186, 1623, 2833, 3891, 4374, 5219, 6584, 7732, 488, 2065, 2806, 3932, 4624, 6139, 7129, 8147, 201, 1528, 2806, 3891, 4704, 5534, 7226, 8223, 201, 1528, 2806, 3893, 4624, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 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, 4, 2 ]

[ 1, 54, 11, 66, 5, 76, 17, 54, 5, 17, 75, 5, 31, 33, 53, 5, 76, 20, 63, 5, 33, 54, 47, 67, 46, 55, 5, 5, 3, 488, 2017, 2806, 3803, 4704, 6211, 7239, 8147, 335, 1717, 2360, 4108, 5139, 5241, 6709, 7641, 955, 1234, 2771, 3918, 5145, 5210, 6709, 7563, 955, 1915, 2730, 3273, 4285, 5761, 7103, 7807, 1024, 1238, 2678, 3174, 4534, 5263, 6464, 7627, 252, 1426, 3103, 3162, 4217, 5991, 6507, 8189, 485, 1346, 2570, 3366, 4999, 5497, 6442, 7730, 508, 1867, 2346, 3736, 4176, 5323, 6851, 7831, 373, 1426, 2390, 4138, 4338, 5422, 6992, 7858, 776, 1865, 2858, 3843, 4328, 6024, 7126, 7950, 873, 1496, 3112, 3939, 4874, 6115, 6662, 7917, 833, 1865, 2383, 3880, 4994, 5740, 6430, 7256, 488, 1945, 2960, 4145, 5080, 5550, 6620, 8083, 186, 1963, 2493, 4114, 5061, 6211, 6771, 7876, 488, 2032, 2947, 4018, 4704, 6211, 7077, 8267, 186, 2041, 2806, 4071, 4630, 5241, 7201, 7895, 186, 1528, 2781, 3990, 4366, 5635, 7077, 7895, 186, 2073, 2838, 3982, 4980, 5635, 6688, 8260, 1099, 1804, 2947, 3226, 5166, 6182, 7077, 7723, 390, 1581, 2957, 4166, 4782, 5832, 6786, 8260, 779, 1953, 3108, 3891, 4822, 5883, 7098, 7806, 1047, 2035, 3098, 4114, 5139, 5385, 6988, 7768, 678, 1723, 2780, 4006, 4287, 6026, 7094, 7918, 1047, 2001, 2326, 3728, 4662, 5568, 6935, 7715, 663, 1849, 2520, 4152, 5083, 5407, 7084, 7962, 663, 1236, 2356, 3467, 4229, 6128, 6671, 7311, 708, 1755, 2956, 3583, 4842, 5863, 6716, 7925, 831, 1974, 2356, 3512, 4689, 5911, 6694, 7648, 641, 1974, 2356, 3568, 4422, 5608, 7086, 8061, 319, 1469, 2231, 4153, 4321, 5790, 6557, 8208, 1040, 1499, 2882, 3906, 4356, 5589, 7140, 8229, 840, 1974, 2536, 3988, 4396, 5754, 6301, 7582, 1067, 1930, 2693, 4099, 5055, 5291, 6348, 8234, 1025, 1865, 2564, 4022, 4620, 6136, 6860, 8025, 304, 1763, 2924, 3361, 5183, 5438, 7120, 8209, 955, 1562, 3098, 3645, 4254, 6080, 6677, 7528, 731, 1280, 2349, 3645, 5183, 5811, 6809, 8226, 759, 1777, 2946, 4155, 4562, 5390, 6283, 7578, 504, 1326, 2924, 3194, 4464, 5824, 6270, 7720, 725, 1509, 2506, 3766, 4181, 5859, 6619, 7964, 970, 2001, 3040, 3194, 4962, 5595, 7090, 7422, 678, 1548, 3040, 3737, 4456, 5844, 7126, 7561, 211, 1783, 2493, 3644, 4518, 5661, 6234, 7948, 955, 1915, 3007, 4114, 4588, 5216, 7047, 8185, 940, 1773, 3098, 3516, 4782, 5694, 7201, 8185, 980, 1915, 2326, 3987, 4265, 5981, 6734, 7421, 684, 2046, 2943, 3982, 5129, 5981, 6979, 8195, 639, 1797, 3006, 3603, 5183, 5914, 7222, 7547, 1016, 2036, 2936, 3770, 4807, 5610, 6540, 7515, 880, 1146, 2163, 3366, 4832, 6114, 7115, 7891, 803, 2059, 2470, 3475, 4748, 5578, 6801, 7808, 895, 1706, 2260, 3154, 4478, 6010, 7157, 7547, 391, 1289, 2534, 3427, 5196, 5627, 6952, 8132, 831, 1850, 3033, 3410, 4788, 5280, 6659, 8005, 1035, 1915, 2678, 3771, 5115, 6032, 6566, 7887, 831, 1930, 2737, 3802, 5193, 6015, 6663, 7786, 160, 2079, 2693, 3169, 4651, 5700, 6443, 8072, 424, 1141, 3043, 3671, 5193, 5447, 7047, 7677, 1090, 1773, 2925, 4145, 4210, 5534, 7084, 8266, 211, 1881, 3006, 4145, 4583, 5883, 6979, 8245, 1090, 1660, 2340, 4071, 4870, 5661, 7207, 7723, 424, 1989, 2766, 3298, 5053, 5385, 6348, 8260, 1090, 1146, 2871, 4011, 4622, 5493, 7087, 8240, 610, 1238, 2754, 4067, 4713, 6128, 6708, 8126, 887, 1120, 3103, 3983, 5134, 5613, 7112, 7602, 1025, 1893, 2642, 3801, 4991, 5643, 7142, 7492, 610, 1478, 2506, 3948, 4919, 6005, 6765, 7607, 1016, 2053, 3097, 3420, 4791, 5512, 6354, 8214, 104, 2089, 2856, 3681, 4476, 5866, 7184, 8232, 1001, 1728, 3003, 3721, 5111, 5821, 6574, 8011, 1001, 1146, 2636, 3454, 4422, 5347, 7217, 7674, 113, 1704, 2175, 3847, 4468, 5279, 6387, 7832, 113, 1838, 2129, 3510, 4468, 6080, 6874, 7959, 610, 1877, 2258, 3659, 4543, 5613, 6912, 7832, 1016, 1877, 2476, 3358, 4630, 5702, 6670, 8252, 1016, 1512, 2525, 4011, 5003, 6189, 6386, 8266, 235, 2052, 2258, 3653, 4514, 5207, 7220, 7851, 473, 1566, 2878, 3361, 4701, 5317, 6262, 7735, 171, 2095, 2484, 3932, 4426, 6001, 7098, 8266, 603, 1758, 3110, 3516, 5083, 5630, 6677, 8080, 427, 1876, 2959, 4152, 4985, 5573, 7127, 7831, 405, 1561, 2987, 3356, 4186, 5436, 7091, 8221, 756, 1411, 2601, 3616, 5154, 5594, 6929, 7547, 613, 1858, 2918, 3723, 5123, 6077, 6275, 8067, 1059, 1797, 2492, 3751, 5188, 6180, 6461, 7687, 448, 1494, 2309, 3424, 4878, 6125, 6474, 7451, 160, 1640, 2655, 4137, 4224, 6083, 6715, 7516, 582, 1732, 2309, 3398, 4351, 5565, 6224, 7588, 993, 1692, 3091, 3480, 4995, 6117, 6277, 7524, 884, 1708, 2534, 3764, 4224, 6034, 6976, 8100, 386, 2008, 2309, 3792, 4906, 6116, 6668, 7537, 955, 1302, 2839, 3595, 4589, 5548, 6263, 8266, 731, 1271, 2581, 3710, 4954, 5796, 6834, 7917, 216, 2095, 2946, 4041, 4991, 5968, 6579, 8083, 731, 1280, 2731, 4128, 4782, 5950, 6884, 8237, 103, 1829, 2856, 3710, 5020, 5677, 6768, 7773, 103, 1277, 2309, 3533, 4199, 5757, 6775, 7291, 335, 1858, 2585, 3596, 5134, 5697, 6467, 8045, 731, 1858, 2585, 3256, 4872, 5694, 7129, 7303, 103, 1858, 3053, 3226, 4727, 6141, 7162, 7905, 767, 1876, 2349, 4041, 5083, 5761, 7230, 7911, 304, 1147, 2710, 4041, 4727, 5277, 6966, 7570, 955, 1554, 2432, 3807, 4588, 5601, 6715, 7799, 512, 1620, 2626, 4125, 4549, 5797, 6776, 7879, 878, 2030, 2709, 4106, 4829, 5830, 6262, 7944, 789, 1508, 2473, 3922, 4638, 5296, 7218, 8261, 440, 2060, 2659, 3226, 4344, 5436, 7041, 8054, 878, 1452, 2833, 3595, 4776, 5419, 6959, 7492, 617, 2111, 2746, 3951, 5151, 5296, 6749, 8030, 779, 1797, 2959, 3987, 5151, 5796, 6921, 8069, 223, 2065, 2796, 4074, 4546, 6118, 6566, 7336, 1062, 1860, 2771, 3900, 4226, 6003, 6900, 7678, 536, 1674, 2731, 3824, 4843, 6169, 6257, 7804, 952, 1636, 2810, 4146, 5188, 5279, 6991, 8031, 1057, 1525, 2210, 4146, 4364, 5540, 6834, 7527, 139, 2100, 2210, 3509, 4221, 5610, 6865, 8078, 1051, 1631, 2710, 3204, 4942, 5212, 7028, 7476, 103, 2035, 2633, 3917, 4720, 5453, 6603, 8016, 1056, 1994, 2601, 3540, 4878, 5243, 6267, 7591, 571, 1876, 2946, 3513, 4555, 6116, 6254, 7856, 571, 1858, 2167, 3687, 4737, 5616, 6850, 7515, 779, 2079, 2941, 3873, 4494, 5661, 6709, 7660, 1056, 1238, 3064, 4067, 4589, 6103, 7201, 7846, 288, 2063, 2783, 3975, 4912, 5493, 7084, 7631, 956, 1620, 3135, 4068, 4583, 6129, 6515, 8179, 818, 2000, 2957, 4108, 5061, 5883, 6786, 7723, 818, 1623, 2838, 3982, 4890, 5832, 7084, 8209, 488, 1528, 3117, 4114, 5038, 6139, 7239, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8147, 488, 1528, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 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, 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, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 76, 45, 29, 5, 54, 17, 54, 5, 17, 75, 5, 31, 33, 53, 5, 51, 69, 30, 5, 33, 75, 35, 5, 43, 57, 62, 5, 66, 73, 5, 45, 53, 16, 66, 40, 66, 5, 5, 3, 142, 1528, 2914, 4174, 4512, 6139, 6752, 8147, 488, 1648, 2914, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6139, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 956, 1791, 2957, 3886, 4980, 5635, 6972, 8066, 937, 1924, 2314, 3188, 4896, 6182, 7237, 7820, 716, 2019, 2198, 4158, 4982, 5498, 6551, 7682, 938, 1513, 2137, 3512, 4186, 6086, 7145, 7279, 1009, 1305, 2137, 4073, 4643, 5624, 6734, 8064, 234, 1759, 2595, 3475, 4807, 6107, 6978, 7262, 761, 1458, 2646, 3943, 4983, 6104, 6622, 7496, 103, 1444, 3075, 4003, 4225, 5911, 6884, 7980, 1099, 1540, 2167, 4097, 4681, 6211, 7095, 7557, 1097, 1705, 3007, 3440, 4512, 6123, 6709, 8179, 617, 1320, 2167, 3994, 4437, 5332, 7207, 7712, 118, 1452, 2941, 4145, 5088, 6085, 6840, 8266, 118, 1510, 2181, 3651, 4555, 5764, 7192, 7397, 757, 1249, 2729, 3949, 4863, 6086, 6239, 7485, 757, 2034, 2656, 3522, 4863, 5493, 7095, 8126, 617, 2106, 3139, 3827, 4954, 5385, 6579, 7732, 552, 1147, 3133, 3866, 4870, 5963, 6579, 8179, 555, 1147, 3007, 4166, 4888, 5493, 7207, 8262, 555, 1623, 3064, 3886, 4877, 5767, 7132, 7806, 555, 1623, 2833, 3803, 4681, 6129, 7201, 8262, 818, 1684, 3021, 4085, 5088, 5901, 6677, 7732, 818, 1623, 2608, 3891, 5061, 5981, 7132, 8147, 818, 1623, 2167, 3827, 5166, 5892, 6972, 7723, 915, 2017, 2806, 4145, 4798, 6137, 6996, 8267, 804, 1370, 3053, 3803, 5085, 5832, 6786, 7887, 223, 1717, 3098, 4135, 4583, 6014, 7239, 8237, 752, 1682, 2519, 3922, 4681, 6056, 7162, 8213, 752, 1458, 2750, 3955, 5153, 6160, 6966, 8164, 761, 1993, 2693, 3822, 4693, 5978, 6265, 7321, 802, 1808, 2268, 4074, 5110, 5524, 6478, 7275, 104, 1403, 2564, 3604, 4457, 6123, 6338, 7545, 884, 2002, 3074, 3421, 5124, 5738, 6567, 7688, 657, 1261, 3074, 3421, 4778, 5595, 6386, 7924, 189, 1261, 2751, 4134, 4934, 5576, 7198, 7318, 569, 1426, 2253, 3848, 4285, 5672, 6301, 8056, 1084, 1426, 2877, 3217, 4483, 6040, 7037, 8254, 850, 1828, 2660, 3261, 4635, 5965, 7093, 8228, 424, 1275, 2250, 3407, 4592, 6128, 6426, 7480, 850, 1463, 2462, 4036, 5109, 6056, 6809, 7558, 778, 1141, 2868, 3740, 4982, 5532, 6803, 7725, 850, 1141, 2391, 4128, 4536, 5279, 6331, 7664, 1040, 1828, 2771, 3588, 4459, 6009, 6570, 8090, 988, 1828, 2751, 3413, 4756, 5339, 6723, 7576, 881, 1984, 3074, 3232, 4882, 5444, 7208, 7962, 691, 1828, 2547, 3424, 4205, 5983, 6284, 7301, 987, 1415, 2893, 3623, 5071, 5900, 6969, 7913, 571, 1499, 2991, 4073, 5153, 5784, 6849, 8083, 833, 1560, 2256, 4168, 4792, 6103, 6740, 7910, 1037, 1560, 3007, 3550, 4691, 5223, 6883, 7583, 980, 1509, 2163, 3550, 4872, 5656, 6579, 7451, 516, 1913, 2718, 3877, 4859, 5719, 6286, 7849, 868, 1828, 2133, 3533, 4288, 5745, 6655, 8015, 702, 1557, 2951, 3623, 4484, 5574, 6957, 7640, 870, 1557, 2951, 3572, 4919, 6107, 6458, 7678, 480, 2118, 2951, 3775, 4626, 5920, 6277, 7796, 139, 1238, 2953, 3941, 4664, 5734, 6470, 7738, 663, 1566, 2293, 3224, 4303, 6162, 6348, 7453, 1090, 1931, 2440, 3870, 4362, 5202, 6350, 7453, 424, 1238, 3053, 3892, 5072, 5672, 7168, 7821, 1090, 1399, 3144, 3892, 4334, 5898, 6903, 7716, 424, 1671, 2946, 3987, 4365, 5586, 6507, 8236, 1090, 1685, 2582, 3842, 4365, 5844, 6708, 7768, 831, 1858, 2760, 3188, 5092, 6025, 6719, 7816, 804, 2046, 2167, 4096, 5058, 6211, 6589, 8083, 746, 1965, 2886, 3909, 4454, 5610, 6694, 7602, 186, 1791, 3135, 3990, 4630, 5705, 7157, 8126, 707, 2098, 3096, 3700, 4805, 5356, 6536, 7658, 707, 1814, 2845, 3977, 4278, 5923, 6821, 7500, 955, 1141, 2469, 4174, 4983, 5904, 7152, 8245, 1033, 1812, 2737, 3642, 4282, 5734, 7055, 7823, 443, 1389, 2661, 3962, 4507, 5266, 7114, 7549, 1040, 1299, 2495, 3751, 5001, 5435, 7000, 7629, 806, 1706, 2241, 3823, 4743, 5609, 7229, 7959, 1091, 1363, 3029, 3627, 4717, 6195, 7232, 7531, 308, 1978, 2932, 3692, 4529, 5883, 7129, 8209, 923, 1797, 3124, 3955, 5115, 5697, 7050, 7799, 902, 1636, 2925, 3227, 5052, 5778, 7043, 7270, 845, 1472, 2951, 3952, 5110, 5944, 6319, 7436, 1074, 1238, 2951, 3623, 4598, 5464, 7154, 7922, 862, 1140, 3018, 3208, 4902, 6119, 6957, 7889, 665, 1958, 2871, 3967, 4509, 5742, 6287, 8061, 569, 1785, 2888, 4162, 4902, 5390, 6379, 7800, 424, 1972, 2810, 4004, 4896, 5952, 7241, 7677, 959, 1847, 2137, 3358, 4791, 5944, 7002, 7476, 308, 1304, 2473, 4011, 4912, 5678, 6909, 7707, 440, 1335, 2880, 3555, 4419, 6171, 6614, 7799, 845, 1324, 2137, 3555, 4971, 5981, 6887, 7628, 802, 1725, 2313, 3973, 4729, 5618, 6308, 7373, 803, 1205, 2154, 3413, 4694, 5546, 6522, 8034, 371, 1205, 2200, 3662, 4532, 6020, 7009, 7863, 150, 1503, 3051, 3598, 4339, 5558, 7142, 7451, 373, 1567, 2653, 3868, 4998, 5313, 6772, 7603, 390, 1387, 3150, 3595, 4861, 5910, 6811, 7886, 833, 1503, 2556, 4085, 5165, 6121, 6572, 7577, 899, 1468, 3112, 3227, 4900, 6175, 6688, 7831, 684, 1503, 2167, 3391, 4550, 5664, 6514, 7816, 308, 2032, 3007, 3240, 5135, 6205, 7084, 7992, 804, 1756, 3108, 4115, 5053, 6025, 6876, 7863, 401, 2046, 2520, 3685, 4781, 6051, 6612, 7828, 1071, 1369, 2965, 4098, 4691, 5568, 7134, 8085, 150, 1469, 2901, 3557, 4717, 5716, 7063, 7256, 1025, 1117, 2844, 3794, 5135, 6204, 6585, 7686, 610, 2019, 2246, 4028, 4652, 6218, 6637, 7846, 424, 1737, 3006, 3227, 4962, 5928, 7118, 7987, 571, 2088, 2996, 4135, 4558, 5353, 6809, 7838, 510, 1683, 2641, 3710, 5159, 6129, 6265, 8267, 308, 1587, 2932, 3945, 5061, 6025, 6467, 8252, 935, 2068, 3098, 3201, 5139, 6129, 7162, 7876, 956, 1675, 2991, 4114, 4888, 6129, 7006, 8260, 984, 2063, 2996, 4071, 4624, 5901, 6786, 8179, 186, 1218, 2803, 4108, 5061, 6186, 6979, 7723, 757, 1198, 2356, 3726, 5053, 5369, 6755, 8061, 201, 1528, 2991, 3886, 4888, 6139, 7218, 8179, 186, 1528, 2164, 4018, 4888, 5635, 7239, 7806, 186, 1528, 2806, 3893, 4798, 6139, 7201, 7876, 865, 1706, 2664, 3662, 5100, 5998, 6701, 7503, 118, 1736, 2741, 3764, 4192, 6046, 7132, 8080, 552, 1684, 2729, 3932, 4877, 5538, 6715, 7770, 335, 1797, 2474, 3662, 4513, 5350, 6776, 7949, 752, 1280, 2661, 3819, 4983, 5847, 6980, 7355, 1033, 1562, 2274, 3595, 5135, 6073, 6991, 7881, 1081, 1897, 2167, 3704, 5175, 5982, 6918, 7996, 216, 2000, 2133, 3729, 4215, 5836, 6386, 8036, 1035, 1280, 3135, 3664, 4994, 5340, 7163, 7865, 1029, 1227, 2592, 3848, 4622, 6154, 7084, 7452, 386, 1860, 3075, 3962, 5184, 5975, 6827, 7536, 150, 1283, 3026, 3822, 5157, 6132, 7224, 7386, 884, 1692, 2261, 3900, 4901, 5584, 6844, 7811, 845, 1708, 2210, 3720, 4717, 5339, 7076, 7707, 104, 1794, 2751, 3928, 5096, 6107, 7010, 7865, 304, 1399, 2440, 3795, 5145, 5534, 7047, 7764, 304, 2001, 2946, 3870, 4942, 6175, 7025, 8093, 610, 1561, 2868, 3516, 5088, 6000, 7202, 7806, 610, 1350, 2946, 4166, 5106, 5573, 6377, 8066, 610, 1692, 3038, 3430, 4993, 5978, 6704, 7794, 424, 1937, 2429, 3231, 4538, 5641, 6740, 7927, 536, 1993, 3130, 3229, 4902, 5715, 6740, 7583, 175, 1708, 2288, 3508, 4364, 5347, 6328, 7576, 881, 1421, 2693, 3695, 5146, 5938, 6866, 8193, 211, 1171, 2156, 3183, 4225, 6002, 6991, 7451, 914, 2000, 2729, 4108, 5159, 6085, 6515, 7723, 956, 1218, 2803, 3710, 5095, 5241, 6709, 8179, 1097, 2000, 3043, 4006, 5106, 6103, 7077, 8076, 874, 1964, 2659, 4144, 4321, 6014, 6615, 8235, 699, 2052, 3139, 3879, 4580, 5514, 7132, 7559, 543, 1930, 2596, 3990, 5120, 5409, 6515, 7660, 390, 1233, 2327, 3488, 4185, 5898, 7012, 7794, 806, 1112, 2253, 3334, 4595, 5500, 6651, 7918, 807, 2034, 3029, 4128, 4195, 6117, 7017, 8079, 1080, 1112, 3116, 3600, 5124, 6056, 6856, 7990, 397, 2034, 3039, 3522, 4321, 6120, 6422, 8033, 995, 1692, 2669, 3709, 4437, 5417, 6555, 7707, 487, 1992, 2355, 4125, 5009, 5828, 7220, 7693, 995, 1561, 2309, 3750, 5180, 5594, 6493, 7807, 678, 1906, 2601, 3756, 4236, 5474, 6850, 7951, 103, 1653, 3116, 3279, 4305, 6000, 6354, 7804, 756, 1550, 2355, 3421, 4646, 6215, 7229, 8084, 103, 1932, 2554, 3770, 4374, 6171, 6614, 8185, 308, 1468, 2717, 3472, 4867, 5385, 6810, 7831, 956, 2046, 2944, 3990, 4681, 5811, 6612, 7887, 105, 1851, 3007, 3595, 4622, 5830, 7095, 8080, 568, 1734, 3033, 3803, 4859, 5534, 6607, 7508, 105, 1147, 2542, 3227, 5040, 5892, 7120, 7913, 859, 1992, 2138, 3595, 4622, 5963, 6979, 8185, 818, 1147, 3095, 3994, 4870, 5493, 6604, 8260, 488, 2017, 3021, 3710, 4624, 6205, 7218, 8223, 488, 1528, 3095, 3825, 4624, 6205, 7006, 8196, 488, 1528, 2914, 3188, 4624, 6139, 7077, 7806, 488, 1528, 2164, 3893, 4624, 6085, 7207, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 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, 2914, 3825, 4798, 6186, 6794, 8223, 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, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 31, 33, 63, 5, 42, 63, 73, 5, 44, 54, 5, 43, 45, 53, 5, 16, 5, 51, 11, 54, 64, 66, 16, 54, 66, 5, 5, 5, 64, 17, 66, 16, 52, 5, 33, 41, 35, 66, 5, 5, 3, 142, 1528, 2781, 3825, 4704, 5901, 6794, 8147, 915, 2017, 2957, 4174, 4624, 6081, 7077, 8147, 216, 1668, 3135, 3226, 4287, 6085, 7084, 8237, 401, 1206, 2943, 3540, 5125, 6051, 6809, 7557, 390, 1982, 2880, 3710, 5115, 6014, 7132, 8076, 448, 1763, 2469, 3511, 4580, 5567, 6540, 7717, 995, 1302, 2436, 3596, 4690, 5579, 6848, 7981, 668, 1557, 3031, 3770, 4320, 5504, 6832, 8173, 668, 1397, 2788, 3770, 4966, 5872, 6814, 7397, 1036, 1269, 3119, 3940, 4553, 6101, 6848, 8130, 1009, 1695, 2674, 3552, 4328, 5625, 6858, 7547, 864, 1695, 2944, 4028, 4376, 5766, 6224, 7419, 1080, 1269, 2490, 3615, 5115, 6076, 7127, 7483, 1080, 1664, 2487, 3756, 4459, 5205, 7013, 7790, 668, 1434, 2581, 3540, 5079, 5767, 6933, 7964, 913, 2099, 2791, 4097, 4823, 5706, 6866, 7336, 1030, 1732, 2369, 3928, 4484, 5874, 7158, 7843, 759, 2099, 2565, 3756, 4539, 5419, 6293, 7355, 386, 1826, 2705, 3723, 4529, 5664, 7059, 7264, 643, 1797, 2156, 3454, 4335, 5953, 6684, 7655, 684, 1721, 2729, 4010, 5157, 5901, 7162, 7386, 684, 1998, 2887, 4145, 4276, 6181, 6809, 7631, 684, 1998, 3064, 4011, 4867, 6205, 6988, 7485, 684, 1620, 2391, 4166, 4551, 6085, 7162, 8083, 804, 1804, 3095, 3226, 5038, 6131, 7077, 8237, 804, 1945, 2947, 4011, 5038, 5883, 6809, 7641, 804, 1998, 3043, 4068, 5166, 6051, 7111, 8179, 508, 1233, 2287, 3994, 4891, 5900, 6431, 7512, 571, 1234, 2794, 3516, 5127, 5436, 6750, 8185, 262, 1770, 2794, 4135, 5066, 5976, 6968, 7851, 641, 1776, 2515, 3667, 4332, 5587, 7127, 7816, 391, 1189, 2432, 4044, 4580, 5802, 6797, 8080, 391, 1742, 2883, 3183, 5127, 5519, 6849, 7624, 391, 1477, 2971, 3739, 4282, 5283, 7018, 8061, 641, 1509, 3050, 3428, 5017, 5296, 6311, 7825, 1006, 1141, 2733, 3234, 4609, 5491, 6874, 7488, 856, 1865, 2162, 3315, 4842, 5792, 6765, 7607, 1003, 1199, 2323, 3704, 4574, 5951, 6430, 7705, 408, 2043, 3050, 4047, 4873, 5846, 6659, 8000, 831, 1726, 2599, 3276, 4738, 5458, 7188, 7643, 204, 1814, 2876, 4073, 5145, 5917, 6314, 7309, 335, 1770, 2130, 3276, 4816, 5362, 6549, 8266, 942, 1621, 2707, 4073, 4335, 5703, 6879, 7996, 722, 1415, 2225, 3457, 4829, 5903, 6325, 7973, 1024, 1531, 2502, 3478, 4677, 5372, 6902, 8269, 668, 1828, 2940, 3586, 4326, 5470, 7242, 7492, 668, 1826, 2267, 3356, 4966, 5298, 6948, 7410, 1024, 1543, 2282, 3586, 4553, 5641, 7090, 7693, 386, 2008, 2290, 3844, 4617, 6195, 6383, 7693, 386, 1958, 2654, 3243, 4780, 5212, 6528, 7842, 304, 1356, 2803, 4145, 4334, 6094, 7058, 7838, 970, 1302, 3080, 4115, 5193, 5864, 6574, 7420, 401, 1830, 3020, 3910, 4387, 5212, 7197, 7791, 643, 1717, 2391, 3649, 4622, 5978, 6646, 7941, 211, 1998, 2661, 3271, 4603, 6205, 7218, 7927, 952, 1564, 2321, 3309, 4276, 5641, 7078, 8214, 756, 2008, 3139, 4153, 4755, 5788, 6895, 7842, 756, 2008, 2212, 3648, 4364, 5815, 6995, 7879, 304, 1116, 3008, 3873, 4895, 5573, 6443, 8267, 160, 1550, 2847, 4138, 4289, 5514, 6735, 7895, 1071, 1550, 2750, 3309, 4542, 6217, 6605, 7537, 844, 1948, 2538, 3873, 4771, 5265, 6876, 7693, 271, 1753, 2951, 4150, 4539, 5590, 6834, 7781, 807, 1385, 2992, 3970, 4760, 5810, 7143, 7776, 1101, 1948, 2665, 3559, 4604, 5656, 6765, 7839, 363, 1935, 2679, 3304, 4230, 5584, 6768, 8169, 884, 1120, 2332, 3772, 4521, 5838, 6224, 7828, 1101, 1421, 2313, 3570, 4518, 6118, 6484, 8022, 725, 1402, 3026, 3770, 4472, 6149, 6591, 7430, 1081, 1509, 3144, 3649, 5135, 5730, 6289, 7989, 304, 1356, 2750, 3836, 4807, 5890, 7076, 7610, 678, 1831, 2690, 3932, 5127, 5485, 6338, 8093, 776, 1294, 3080, 3752, 4531, 5908, 6918, 7664, 643, 1773, 3037, 4005, 4734, 5413, 6736, 7920, 678, 1998, 2298, 3987, 4954, 5832, 6247, 8076, 610, 1189, 2556, 3318, 5003, 5738, 6302, 7547, 508, 2010, 2610, 3770, 4369, 6023, 6361, 7875, 494, 2079, 2345, 3189, 4953, 5810, 6900, 7808, 1022, 1986, 2678, 3634, 4225, 6179, 6658, 7689, 951, 1986, 2783, 4078, 4981, 5702, 6918, 7498, 1097, 1508, 2163, 3962, 4890, 5687, 7152, 7563, 860, 1528, 2803, 4041, 5038, 5210, 7239, 7949, 488, 1869, 3128, 4114, 4888, 5883, 7077, 8195, 818, 1622, 3117, 3866, 4782, 5612, 7077, 8179, 935, 2017, 2838, 4011, 5038, 5635, 7132, 8223, 186, 1622, 2838, 3825, 4630, 5901, 7077, 8237, 186, 2041, 2806, 3893, 4822, 5901, 7218, 7806, 579, 1396, 2709, 3917, 5048, 6204, 6788, 7367, 293, 2060, 2886, 3860, 4457, 5486, 6299, 8034, 878, 1137, 2659, 4026, 4276, 5661, 6375, 8174, 171, 1585, 2989, 4125, 4859, 5305, 6488, 8115, 473, 1509, 2554, 3388, 4372, 5968, 6898, 7876, 948, 2046, 3040, 3540, 4908, 5465, 7091, 7907, 262, 1668, 3040, 4113, 4730, 5946, 7104, 8130, 262, 1770, 3040, 3356, 4344, 5692, 6836, 7581, 731, 1699, 2578, 3499, 4664, 6059, 7019, 8022, 1067, 2024, 2786, 4103, 4448, 6111, 6448, 7729, 722, 1183, 2153, 3378, 4580, 5776, 6907, 8189, 1064, 1468, 2603, 3176, 4764, 5797, 6697, 8115, 948, 1988, 2968, 3467, 5020, 5781, 6825, 7711, 335, 1231, 2309, 3879, 4389, 6025, 6924, 7798, 731, 2091, 2440, 3496, 4890, 5385, 6705, 8252, 767, 1770, 2391, 3756, 4334, 6070, 6864, 7594, 304, 1356, 3109, 3932, 4622, 5219, 6633, 7485, 216, 1847, 2915, 3407, 5115, 6014, 7111, 8143, 899, 1707, 2387, 3540, 4829, 5677, 7084, 7605, 654, 1674, 2669, 4085, 4399, 6110, 6717, 8074, 654, 1826, 3021, 4141, 4675, 5212, 6373, 7710, 654, 2106, 3139, 3416, 4651, 5413, 6734, 7549, 654, 2106, 2554, 4096, 4877, 6110, 7090, 8083, 240, 1876, 2656, 3933, 5007, 5438, 6607, 8150, 240, 1876, 2340, 4071, 4682, 5963, 6671, 7677, 789, 2106, 3133, 3803, 4398, 5981, 6430, 7664, 419, 1750, 3046, 3595, 4398, 5241, 7103, 7664, 419, 1851, 3133, 3803, 4704, 5635, 6889, 7485, 419, 2017, 2164, 3893, 4624, 5892, 7103, 8196, 789, 1961, 2164, 3914, 4622, 5241, 6786, 8130, 195, 1218, 2991, 3470, 4622, 5215, 7043, 8213, 987, 1858, 2156, 3213, 5159, 5364, 7140, 8047, 335, 1794, 2282, 3889, 5091, 5923, 6481, 7965, 840, 1707, 2935, 4037, 4748, 5202, 7097, 7331, 271, 1252, 3140, 3434, 4228, 5917, 6830, 7795, 504, 1252, 2924, 4112, 4872, 5565, 6449, 7825, 678, 1252, 3053, 3975, 4906, 5865, 7242, 7742, 731, 1363, 2740, 3246, 5058, 5777, 6382, 7387, 678, 2008, 2690, 3955, 4912, 5684, 6830, 7664, 970, 1688, 2607, 3246, 4666, 5500, 7230, 7861, 401, 1543, 3036, 3771, 4993, 5534, 7160, 7355, 940, 1797, 3144, 3732, 4834, 5901, 6569, 7791, 304, 2079, 3006, 4174, 4573, 6103, 7010, 8185, 804, 1777, 3022, 3819, 4630, 5901, 6709, 8267, 1097, 1998, 2960, 3710, 4622, 6123, 7201, 7574, 568, 1601, 2553, 4103, 4470, 5863, 6430, 8076, 518, 1858, 2542, 4166, 4877, 5998, 6840, 8126, 419, 1623, 2469, 4096, 5120, 5705, 6688, 7960, 555, 1510, 2560, 3277, 4423, 5534, 7006, 7706, 488, 2111, 2806, 3886, 5088, 6129, 7084, 8080, 488, 1528, 2806, 4145, 4624, 6139, 7090, 8080, 488, 2017, 2806, 3825, 4624, 6139, 7226, 8223, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8147, 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, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 617, 2127, 2946, 3838, 4870, 5901, 6604, 7732, 225, 1510, 3141, 3873, 4638, 5521, 7232, 8266, 654, 2002, 2946, 3798, 4636, 5515, 6757, 8253, 654, 1345, 2340, 3798, 4398, 5385, 6772, 7664, 654, 2034, 2959, 4006, 5079, 5723, 6752, 8236, 195, 1252, 2221, 3332, 5159, 5590, 6772, 7947, 195, 1176, 2554, 3623, 4486, 5660, 7003, 7981, 654, 2002, 3131, 3796, 5138, 5672, 6909, 7906, 654, 2106, 2468, 4103, 5079, 5963, 6889, 7711, 127, 2106, 2904, 3891, 4459, 5942, 6581, 7891, 256, 1304, 2959, 3623, 4764, 5419, 7133, 7664, 756, 1826, 2440, 4175, 4638, 5982, 6717, 7918, 149, 2011, 2549, 3245, 5160, 5345, 6766, 7873, 636, 1509, 2294, 4138, 5149, 5750, 6879, 7790, 655, 1400, 2222, 3577, 4545, 5654, 7174, 7892, 1041, 1812, 2455, 4062, 4998, 6107, 7115, 8053, 938, 1940, 3085, 3992, 4972, 5982, 7228, 7837, 1047, 1509, 3037, 3559, 4184, 5392, 6423, 7559, 804, 1370, 2407, 3595, 5080, 5761, 7148, 7607, 105, 1675, 2586, 4073, 4622, 5677, 6985, 7706, 899, 1905, 2560, 4152, 4925, 6129, 6852, 7658, 405, 1660, 2946, 4087, 4533, 5677, 6677, 7914, 390, 1623, 2391, 4011, 4927, 5923, 6677, 7494, 373, 1974, 2556, 3386, 4588, 5731, 7217, 8184, 610, 1499, 2858, 3437, 4729, 6070, 6684, 8188, 1025, 1469, 2766, 3754, 5052, 5999, 7019, 8157, 981, 1469, 3046, 3908, 4417, 6208, 6592, 8266, 504, 1716, 2712, 3559, 5040, 5223, 6695, 8184, 1029, 1469, 2759, 3167, 4885, 5568, 6739, 7494, 150, 1926, 2727, 4133, 4384, 5858, 6536, 8149, 271, 1926, 2628, 3369, 4644, 5579, 6698, 7804, 504, 1926, 2807, 3934, 4593, 6119, 6461, 7685, 678, 2078, 2705, 3487, 4390, 5940, 6426, 7379, 603, 1183, 2800, 3547, 4939, 6146, 6599, 8081, 984, 1110, 2287, 4151, 4318, 6180, 6967, 7862, 427, 1110, 2875, 3732, 5198, 5436, 7035, 8132, 171, 1976, 2754, 3981, 5083, 5653, 7063, 8107, 935, 1961, 2941, 3645, 4318, 5661, 6953, 7811, 1047, 1961, 2724, 3433, 4328, 5572, 7120, 8203, 1065, 1286, 2514, 3463, 5146, 5436, 6612, 8214, 499, 1510, 2333, 3924, 5142, 5845, 6977, 7975, 897, 1557, 2776, 3394, 4929, 5478, 6974, 8170, 660, 1518, 2593, 3416, 4321, 5683, 6954, 8189, 994, 1206, 2689, 3623, 4321, 6213, 6438, 7613, 668, 2009, 3013, 3678, 4735, 5350, 6706, 8038, 91, 2125, 2487, 3933, 5157, 5390, 6632, 8117, 256, 1540, 2996, 4026, 4849, 6171, 7132, 7962, 901, 2030, 2614, 3909, 4411, 6183, 6376, 8184, 331, 2013, 3109, 3505, 4855, 6181, 6581, 7885, 440, 1597, 2991, 4074, 4512, 5219, 7098, 7806, 518, 2097, 2969, 4068, 4512, 6097, 6284, 7643, 878, 1597, 2754, 4006, 5165, 5219, 6889, 7641, 757, 2088, 2858, 3771, 5179, 5436, 6358, 8260, 171, 1403, 2858, 3516, 4849, 6175, 7017, 7641, 571, 2092, 2436, 3987, 4902, 5904, 6604, 7313, 731, 2108, 2365, 3293, 4459, 5629, 6949, 7490, 759, 1742, 2444, 3649, 4864, 6062, 6456, 7815, 1019, 1758, 2741, 3570, 4861, 5250, 6682, 7793, 664, 1865, 2358, 3570, 4415, 5783, 6800, 7617, 1019, 1865, 2841, 4052, 5137, 5835, 7204, 8052, 827, 1803, 2378, 3229, 4344, 5973, 6838, 7684, 1041, 1510, 2251, 3578, 4795, 5911, 6318, 8215, 113, 1510, 2251, 3300, 4500, 6133, 6571, 7613, 992, 2048, 2378, 3570, 4938, 5535, 6318, 7279, 1041, 1231, 2378, 4110, 4776, 5608, 6912, 7279, 692, 1494, 2741, 3619, 4795, 6015, 6620, 7487, 668, 1510, 2336, 4025, 4434, 5470, 6391, 7934, 692, 1510, 2520, 3386, 5179, 5512, 7115, 7402, 833, 2111, 2820, 4145, 5115, 5755, 6919, 8095, 419, 1623, 2381, 4083, 4925, 6058, 7087, 8245, 105, 2064, 2542, 3251, 5138, 5539, 7010, 7791, 256, 1623, 2925, 3550, 4536, 5413, 6909, 8262, 183, 1826, 2669, 3914, 4780, 6103, 6752, 7706, 555, 1789, 2746, 4145, 5120, 5901, 7069, 8236, 201, 2017, 2806, 4071, 4822, 5210, 6786, 8260, 818, 2017, 3095, 3825, 5038, 6205, 7006, 8237, 488, 1528, 2806, 3825, 4624, 6139, 7201, 8147, 818, 2017, 2914, 3893, 4624, 6139, 6794, 8223, 555, 1648, 3021, 3825, 4512, 5635, 7077, 7485, 105, 2106, 2833, 3596, 5083, 5219, 6612, 7716, 859, 2127, 2970, 3891, 4366, 5935, 6752, 7421, 859, 1974, 2803, 3891, 4583, 5514, 6752, 7806, 859, 1974, 2529, 4096, 5088, 6182, 6762, 8261, 859, 2127, 2529, 3374, 5088, 5219, 6579, 7717, 4, 2 ]

[ 1, 31, 16, 5, 64, 33, 63, 16, 53, 58, 54, 47, 5, 31, 14, 66, 5, 41, 39, 52, 30, 5, 11, 54, 5, 66, 73, 5, 17, 31, 35, 5, 16, 51, 39, 79, 16, 54, 78, 5, 66, 73, 5, 66, 63, 13, 54, 64, 62, 26, 35, 5, 5, 3, 201, 2017, 2164, 3825, 4704, 5901, 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, 935, 2073, 2914, 3891, 4798, 6186, 6972, 7641, 171, 1998, 2957, 3866, 5044, 5436, 6776, 7811, 850, 1596, 2419, 3870, 4981, 6012, 6443, 7918, 480, 1299, 2667, 3271, 4829, 5790, 6612, 7816, 902, 1555, 2678, 3293, 4191, 5733, 6763, 7961, 346, 1617, 3055, 3962, 4354, 6097, 6828, 8044, 576, 2047, 2793, 3880, 4639, 5993, 6446, 8164, 654, 2002, 2766, 3879, 4501, 5835, 7098, 7290, 195, 1265, 2992, 3832, 5188, 6149, 6717, 8099, 195, 1881, 2728, 3900, 4318, 5438, 6840, 7384, 518, 1851, 2659, 3955, 4225, 5565, 6565, 8213, 127, 2002, 2897, 4071, 5058, 5534, 6338, 7707, 195, 1935, 2941, 4015, 5143, 6110, 7207, 8093, 195, 1424, 2287, 3218, 4716, 5218, 6412, 8080, 518, 1623, 3110, 3994, 4298, 5981, 6648, 8130, 518, 1304, 2970, 3719, 4615, 5223, 6716, 7557, 518, 2078, 2781, 3803, 5138, 5767, 6840, 7959, 645, 1827, 2659, 4068, 5120, 5761, 6688, 8186, 726, 1554, 2671, 3334, 4611, 5533, 6383, 7490, 994, 1606, 2508, 3371, 5124, 6004, 6856, 8046, 994, 1696, 2607, 4003, 4603, 6034, 6383, 7297, 966, 1826, 2320, 3192, 5031, 6169, 7035, 8035, 768, 1826, 3055, 3201, 4574, 6030, 6897, 7823, 428, 1412, 2230, 3796, 4367, 5273, 6788, 7820, 768, 1776, 2867, 4096, 4634, 5981, 7245, 7815, 692, 1408, 2808, 3375, 4776, 5674, 6707, 7621, 862, 1517, 2304, 3532, 4457, 5549, 6885, 8118, 784, 1835, 2974, 3640, 4664, 5676, 6453, 7981, 862, 1517, 2311, 3506, 4663, 5382, 6828, 7620, 803, 1363, 2484, 3601, 4742, 5579, 6389, 7261, 1017, 1543, 2311, 3997, 4591, 5867, 6686, 7442, 1017, 1838, 2484, 3398, 4464, 5934, 7053, 7579, 540, 1183, 2887, 3943, 4539, 6152, 7106, 7740, 1025, 1867, 2346, 3480, 4671, 5491, 7012, 7849, 643, 1550, 2956, 3337, 5052, 5485, 6643, 8262, 150, 1550, 3001, 3337, 4688, 6052, 6247, 8053, 223, 2000, 2250, 3552, 4407, 5982, 6698, 8111, 986, 1407, 2346, 3602, 4254, 6101, 6772, 8112, 1023, 1183, 2425, 4072, 4800, 5946, 6833, 8077, 299, 1805, 2894, 3203, 4338, 5528, 7241, 7931, 1101, 1469, 2346, 3373, 4776, 5813, 6773, 7808, 1025, 1805, 3040, 3170, 5031, 6002, 6952, 7261, 643, 2050, 2635, 3568, 4609, 5418, 6789, 7932, 150, 1900, 2250, 3325, 5031, 5927, 7106, 8156, 504, 1317, 3126, 3356, 4984, 5884, 6529, 8068, 784, 1317, 3151, 3999, 5031, 5361, 6671, 8104, 1101, 1758, 2207, 3290, 4435, 5437, 6651, 7986, 940, 1794, 2440, 3488, 4834, 5844, 6350, 7571, 970, 1363, 2292, 3229, 5088, 6086, 6639, 7915, 397, 1315, 3120, 3216, 4611, 5339, 6550, 7488, 487, 1118, 2369, 3928, 5164, 6183, 7043, 8046, 1020, 1831, 3020, 3159, 4421, 5908, 6671, 7479, 582, 2024, 2268, 3417, 5075, 6010, 6903, 8092, 103, 1621, 2387, 3417, 4421, 6118, 6402, 7678, 970, 2034, 3091, 3832, 4527, 5381, 6403, 7828, 938, 1935, 2654, 3575, 4197, 5963, 6442, 7349, 684, 1562, 2440, 3188, 5106, 5883, 6979, 8076, 512, 1407, 3021, 4145, 5075, 5832, 6988, 8267, 959, 1508, 2946, 3962, 5085, 6129, 6704, 8260, 1102, 1562, 2989, 3310, 4925, 5705, 7220, 7677, 702, 1967, 2653, 4128, 5036, 5595, 6225, 8005, 1050, 1596, 2626, 3993, 4601, 5244, 6386, 7719, 835, 1503, 2951, 3997, 4943, 5208, 7044, 7541, 774, 1385, 2455, 3676, 4911, 5658, 6248, 7397, 407, 1543, 3032, 3575, 5135, 5686, 6396, 8197, 231, 1237, 2677, 3662, 4226, 5474, 6436, 7473, 510, 2098, 2783, 3886, 4181, 6120, 7023, 7677, 1015, 1752, 2918, 3866, 4512, 5360, 7229, 7248, 984, 1175, 2729, 3680, 4215, 5550, 7090, 7895, 984, 2065, 3006, 3681, 5153, 5832, 6988, 8185, 256, 2106, 2926, 3993, 5060, 6137, 6604, 7260, 518, 1623, 2803, 3563, 4996, 5963, 6646, 7303, 256, 2032, 2781, 3206, 4398, 5350, 6774, 7716, 256, 2068, 2473, 4115, 4737, 6117, 6515, 8107, 256, 2068, 2473, 4026, 5080, 5687, 7218, 8150, 256, 1851, 3006, 3206, 4387, 6110, 6604, 7806, 256, 2000, 2473, 4078, 4622, 5968, 6829, 8260, 878, 1752, 2970, 3407, 4486, 5825, 6830, 8195, 223, 2106, 2675, 3543, 5058, 5771, 6770, 8107, 900, 1688, 2436, 3552, 4663, 5343, 7210, 7621, 900, 2118, 2901, 3720, 4588, 5237, 6501, 7727, 900, 1794, 2464, 3600, 4840, 5289, 6823, 8036, 407, 1688, 2464, 3454, 4800, 6118, 6837, 8036, 920, 1800, 2717, 3368, 4962, 5615, 6550, 7248, 1080, 1550, 2484, 3465, 4910, 6044, 6735, 7410, 862, 1550, 2265, 3243, 5043, 5576, 6480, 7790, 234, 1550, 3001, 4082, 4495, 6151, 6334, 7348, 234, 1488, 3116, 3796, 4972, 5465, 6432, 7666, 234, 1664, 2717, 3796, 5190, 5368, 6334, 8229, 234, 1363, 2725, 4175, 5163, 5546, 6934, 8084, 234, 1664, 2725, 3651, 4697, 5784, 6497, 7697, 234, 2118, 2581, 4175, 5135, 5558, 7078, 7426, 862, 1503, 2888, 3227, 4985, 5988, 6885, 7363, 620, 1993, 2869, 3499, 5171, 5251, 6848, 7253, 835, 1463, 2869, 3585, 4326, 5733, 7139, 8000, 547, 1503, 2141, 3416, 4236, 5701, 6234, 7389, 938, 1503, 2831, 3250, 5005, 5924, 7045, 7800, 508, 1463, 3040, 3787, 4850, 5746, 6562, 7718, 1024, 1679, 2829, 4160, 5199, 5624, 6914, 7628, 913, 1912, 2256, 3732, 4764, 5874, 6970, 8165, 970, 2085, 2163, 3710, 4546, 6066, 7058, 8253, 171, 1234, 2506, 3777, 4980, 6124, 6506, 7567, 1036, 1183, 2611, 3380, 4692, 5477, 6237, 7825, 1036, 1589, 2763, 3956, 4795, 5496, 6758, 7263, 665, 1993, 2309, 3997, 4579, 5477, 6389, 8115, 386, 1337, 2243, 3960, 4221, 5937, 6268, 8018, 1029, 1786, 3150, 3757, 4755, 5440, 6362, 7680, 1101, 1786, 2408, 3394, 4533, 5311, 6401, 8222, 725, 1140, 2307, 3427, 4799, 5551, 6684, 7707, 1101, 1688, 2667, 3394, 4372, 5348, 7223, 7812, 465, 1983, 2667, 3374, 5071, 5870, 6620, 7466, 1029, 1346, 2737, 3609, 4367, 5392, 7037, 7255, 150, 1145, 3003, 3159, 4855, 5345, 6453, 7466, 643, 1145, 2693, 3537, 5019, 5869, 6646, 7873, 150, 1717, 2581, 3901, 4426, 6040, 6254, 7957, 643, 2035, 2868, 3454, 4700, 6181, 7207, 7705, 1035, 1771, 3033, 4096, 4609, 6090, 7165, 7965, 955, 1562, 2946, 3901, 5098, 6204, 6734, 7939, 308, 1847, 2868, 3909, 4801, 5385, 6260, 7720, 510, 2000, 2803, 3932, 4512, 6146, 7218, 8260, 935, 1924, 3144, 3932, 5104, 6103, 7006, 7720, 186, 1175, 2164, 3932, 4782, 5630, 6709, 7723, 1020, 2013, 3147, 3176, 5160, 6118, 6604, 8110, 225, 1623, 2803, 3555, 5127, 5276, 7201, 7749, 757, 2127, 2820, 3566, 5166, 6117, 7018, 8164, 617, 2052, 2315, 3914, 4888, 5765, 6883, 8076, 552, 1218, 2708, 3982, 4681, 5536, 6338, 7664, 1033, 1509, 2779, 3909, 4670, 5750, 7098, 7631, 223, 1768, 3150, 3268, 5061, 5485, 6881, 7913, 1035, 1972, 2515, 3760, 4946, 5815, 7235, 7291, 504, 1897, 2407, 3856, 4859, 5761, 6667, 8135, 951, 2081, 2151, 3945, 5026, 5958, 6263, 7727, 678, 1737, 3108, 3801, 4887, 5314, 6515, 7846, 643, 2035, 2307, 3416, 5083, 5767, 7115, 8266, 970, 1688, 2363, 3847, 4859, 6032, 6809, 8260, 150, 1681, 2518, 3251, 4219, 5819, 6564, 7451, 501, 1779, 3090, 3616, 4893, 5773, 7114, 7678, 693, 1205, 3150, 3259, 4866, 6017, 6722, 7454, 493, 1205, 2265, 3748, 4226, 6116, 7140, 7289, 339, 1205, 2265, 3239, 4285, 6183, 6719, 7850, 917, 2037, 2137, 3283, 4598, 5615, 6539, 7997, 386, 1571, 2452, 3245, 4244, 5866, 7227, 7800, 288, 1833, 2373, 4145, 4494, 5419, 6414, 7428, 512, 2000, 3150, 3917, 4656, 5630, 7109, 7591, 940, 2060, 3092, 4152, 4611, 5378, 6859, 8085, 440, 1820, 3092, 3306, 5023, 6182, 6768, 8140, 572, 1998, 2771, 4115, 4916, 5810, 6584, 7850, 781, 1199, 2429, 3269, 4494, 5712, 7175, 8143, 1023, 1470, 2581, 3298, 4729, 5648, 7212, 8140, 692, 1968, 2649, 4025, 4436, 5965, 6838, 7815, 761, 1972, 2905, 3248, 4372, 5354, 7073, 7820, 386, 1517, 2911, 4004, 5036, 5821, 6912, 8061, 1029, 1759, 2815, 3572, 5164, 5871, 6632, 7813, 283, 1363, 2424, 3750, 5126, 5518, 6449, 8213, 91, 1563, 2140, 4165, 4417, 5613, 6251, 8093, 1029, 1363, 2874, 3189, 4359, 5603, 6716, 7813, 761, 1510, 2432, 3679, 5068, 5507, 7043, 7615, 884, 1688, 2693, 4038, 4364, 6032, 6434, 7828, 390, 1369, 2775, 3219, 4795, 5739, 6740, 8226, 1097, 1555, 2503, 4171, 4630, 5911, 7098, 7570, 510, 1998, 3110, 3886, 4583, 5981, 6850, 7421, 914, 1562, 2895, 3516, 5143, 6051, 7207, 7641, 510, 1992, 2340, 3885, 4282, 5216, 7098, 7876, 510, 2000, 2781, 3866, 4980, 6131, 7218, 8260, 484, 1847, 3064, 4018, 4630, 6129, 7006, 7806, 727, 1286, 2987, 3716, 4556, 5653, 6270, 7537, 568, 1752, 2944, 3994, 4916, 5464, 6740, 8078, 105, 1756, 3043, 3990, 5061, 6085, 6783, 7591, 160, 1206, 2661, 3374, 4338, 5863, 6550, 7442, 399, 1561, 2309, 3421, 4186, 6179, 7048, 7673, 781, 1550, 2355, 4095, 4321, 5546, 6653, 8263, 920, 1834, 2453, 3442, 4712, 5393, 6592, 8111, 920, 1782, 2309, 4132, 4800, 6069, 6814, 8133, 487, 1689, 2261, 3888, 4800, 5200, 6890, 8168, 487, 1915, 2453, 3425, 4446, 5935, 6614, 8117, 487, 1915, 2453, 3873, 4996, 5810, 6962, 8214, 610, 1809, 2426, 3576, 4743, 5580, 6414, 7535, 955, 1930, 2426, 3391, 4607, 5223, 6944, 8058, 1090, 1716, 2542, 3513, 4276, 5585, 6564, 7948, 757, 1906, 3098, 3826, 4321, 5308, 6837, 7501, 757, 1782, 2421, 3904, 4529, 6117, 6521, 8236, 334, 1241, 2718, 3714, 4949, 5639, 6835, 7770, 118, 1918, 2818, 3316, 4996, 5723, 6694, 8082, 118, 1286, 2975, 3967, 4622, 5394, 6502, 7574, 756, 2021, 2858, 4124, 4644, 5466, 6338, 8048, 844, 1881, 2980, 3967, 4444, 6165, 6470, 7538, 1035, 1915, 2931, 4150, 5134, 5378, 6242, 7627, 761, 1881, 2764, 3605, 5094, 5273, 6944, 7952, 802, 1771, 2188, 3164, 4298, 5613, 6592, 7904, 150, 1773, 3020, 4083, 4191, 5960, 6563, 7852, 1035, 1924, 2440, 3231, 5053, 5765, 7217, 7873, 1025, 1227, 2946, 3305, 4282, 6073, 6235, 8126, 150, 1797, 2727, 4143, 4536, 5981, 7207, 7846, 1025, 1759, 2946, 4145, 4998, 5586, 6298, 8070, 643, 1407, 2946, 3602, 4954, 5653, 7098, 7677, 887, 2045, 2163, 3340, 4352, 6010, 6991, 7422, 317, 1460, 2293, 3448, 4533, 6039, 6918, 7992, 225, 1935, 2858, 4113, 5061, 6110, 6589, 8245, 225, 1773, 2396, 3656, 4867, 6160, 7041, 7939, 225, 1777, 2885, 4125, 4630, 5837, 7205, 7303, 225, 2097, 3064, 3933, 5040, 6051, 6966, 7313, 228, 1468, 3139, 3416, 4716, 5963, 6717, 8083, 105, 1851, 2729, 3886, 4716, 6063, 7100, 7715, 915, 1847, 2925, 3367, 4387, 6103, 6988, 8261, 789, 1468, 3021, 3914, 5104, 5705, 6579, 8130, 568, 1440, 2839, 3904, 4630, 5830, 6988, 7664, 183, 1623, 2718, 4113, 4555, 5942, 6255, 7838, 617, 2097, 2833, 4068, 5124, 5548, 7152, 7865, 160, 1373, 3075, 3766, 5085, 5767, 7220, 8099, 993, 1363, 2502, 4103, 4521, 5370, 6275, 7383, 1025, 1794, 2564, 3631, 4330, 5921, 7103, 7538, 1090, 1167, 3020, 3532, 4723, 5787, 6973, 7538, 211, 1721, 3026, 3631, 5125, 5493, 6589, 8048, 211, 1635, 2188, 4043, 4642, 5765, 7158, 8126, 1099, 1963, 2771, 3562, 4877, 5276, 6668, 7992, 818, 1945, 2164, 3990, 5080, 5241, 7239, 8196, 956, 1945, 2803, 4018, 4630, 5340, 6709, 7949, 956, 1804, 3110, 3886, 5159, 6211, 6786, 8147, 555, 1684, 3038, 3891, 5104, 5883, 7077, 7846, 757, 1961, 2709, 3710, 4682, 5548, 6251, 7732, 421, 2108, 2163, 3662, 4789, 6163, 6800, 7277, 874, 2013, 2287, 4083, 5167, 5574, 6334, 7528, 579, 2060, 2564, 4153, 4411, 5677, 6909, 7811, 153, 1141, 2959, 3932, 4622, 5822, 6755, 8239, 401, 1796, 2694, 3857, 4954, 5386, 7230, 8245, 665, 1982, 2429, 3413, 4777, 6003, 6828, 7528, 908, 1510, 2751, 3164, 4833, 5643, 6764, 7423, 793, 1212, 2848, 3421, 4232, 6010, 6656, 7586, 665, 1587, 2799, 3298, 5081, 5931, 6651, 7360, 881, 1772, 2215, 3933, 4402, 6010, 6334, 7962, 569, 1193, 2701, 3790, 4929, 6074, 6799, 8207, 1057, 1370, 2574, 4007, 4714, 6163, 6657, 7405, 1057, 1915, 3032, 3390, 4234, 5893, 6447, 7740, 1025, 1273, 2881, 4037, 4834, 5486, 7161, 7945, 643, 2079, 2678, 3917, 4716, 5573, 6723, 7785, 887, 1241, 2365, 3838, 4536, 6204, 6988, 7410, 1033, 1302, 2429, 4121, 5195, 6123, 7095, 7722, 678, 1306, 2980, 3616, 5115, 5565, 6809, 7508, 304, 2001, 2996, 3680, 5115, 6175, 7239, 8093, 317, 2063, 2886, 3932, 4900, 5208, 6603, 7794, 228, 1597, 2346, 4093, 5127, 5608, 6497, 7873, 518, 1311, 2355, 3930, 4764, 5515, 6710, 7421, 518, 1562, 2454, 3933, 4181, 5514, 6671, 7559, 568, 1280, 2542, 3366, 5018, 5863, 6715, 8130, 183, 1923, 2554, 3770, 5080, 6149, 7168, 7816, 757, 1998, 2317, 3564, 5168, 5765, 7162, 7531, 818, 1587, 2729, 3819, 5166, 5694, 7230, 7570, 915, 2000, 2554, 3886, 5159, 5677, 6996, 7716, 488, 1648, 2914, 3595, 4630, 6139, 7124, 8267, 915, 1622, 2164, 3595, 4798, 5832, 6996, 8147, 1099, 1648, 3043, 3710, 4366, 5514, 7201, 7949, 956, 1508, 3117, 4174, 4583, 5832, 7124, 7723, 511, 2093, 2312, 3960, 5150, 5778, 6472, 7568, 368, 1582, 2129, 3497, 4390, 5287, 6301, 7727, 888, 1682, 2743, 3371, 5151, 5576, 6596, 7916, 761, 1352, 3112, 3392, 5151, 5964, 7174, 7544, 761, 1843, 2299, 3198, 4246, 5863, 6367, 7567, 581, 1771, 3069, 3404, 4776, 5729, 6497, 7853, 1041, 1407, 2812, 3329, 4930, 5755, 6255, 7810, 802, 1702, 2369, 3696, 5114, 5325, 7144, 7983, 759, 1303, 2751, 3568, 4651, 5437, 6587, 7510, 192, 1706, 2751, 3996, 4626, 5933, 7139, 8105, 827, 2101, 2506, 3214, 4391, 6135, 7139, 8205, 165, 1526, 2188, 3605, 4911, 5353, 6476, 8168, 981, 1510, 2333, 3986, 4321, 5513, 6402, 7915, 981, 1510, 2224, 3828, 5015, 5370, 6663, 7777, 662, 1586, 2549, 3560, 4417, 6077, 6256, 7279, 620, 1631, 2378, 3824, 4933, 5378, 6497, 8086, 265, 1586, 2453, 3357, 4214, 5390, 6905, 7907, 265, 1539, 2801, 4025, 4609, 5875, 6959, 7915, 665, 1597, 2796, 4153, 4817, 5490, 6670, 7943, 981, 1309, 2378, 3828, 4881, 6145, 6477, 7367, 827, 1669, 2549, 3687, 5134, 5273, 6997, 7999, 725, 1108, 2662, 3711, 4575, 6184, 6403, 7965, 827, 1168, 2741, 3687, 5153, 5621, 6402, 7537, 1041, 2072, 2378, 4073, 5158, 5325, 7227, 7456, 1041, 1965, 2378, 3703, 4268, 6042, 6986, 7918, 655, 1510, 3116, 3434, 5015, 5295, 6932, 8264, 725, 1738, 2751, 3581, 4902, 5819, 6670, 8145, 482, 1510, 2345, 3979, 4553, 6066, 6948, 7250, 820, 1763, 2669, 3390, 4902, 6135, 7011, 7333, 709, 1756, 2991, 4069, 4437, 5678, 6800, 7698, 967, 1510, 2307, 4093, 5053, 6195, 6453, 7948, 935, 2111, 3021, 3803, 4828, 5694, 7207, 7764, 818, 1845, 2746, 3886, 4622, 6195, 6996, 7723, 935, 2111, 2914, 3893, 5061, 6211, 6771, 7806, 935, 2111, 2391, 3886, 5038, 6129, 6774, 8267, 935, 2017, 2164, 3206, 4624, 5219, 7006, 8179, 818, 2017, 2781, 3206, 5038, 6186, 7226, 7723, 818, 2017, 2781, 3206, 4624, 5635, 7077, 7723, 488, 1528, 2781, 3825, 4624, 5901, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7226, 7766, 4, 2 ]

[ 1, 76, 48, 5, 44, 51, 64, 62, 45, 63, 47, 16, 54, 64, 66, 5, 51, 57, 52, 30, 5, 65, 45, 75, 35, 44, 55, 78, 5, 64, 51, 33, 63, 64, 52, 47, 5, 66, 73, 5, 28, 48, 5, 51, 16, 54, 64, 48, 75, 30, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4704, 6139, 7226, 8196, 488, 2017, 3117, 3367, 4624, 6186, 7124, 7766, 818, 2017, 3065, 4174, 5038, 5612, 6996, 8196, 262, 1830, 2779, 3540, 4586, 5635, 6605, 7458, 223, 1763, 2971, 3175, 5125, 5802, 6758, 7965, 150, 1649, 3020, 4168, 4965, 5436, 6870, 7741, 1004, 1255, 2207, 3233, 4467, 5762, 6453, 8197, 399, 1472, 2378, 3992, 5084, 6130, 6828, 7442, 737, 1942, 2787, 3191, 4189, 5787, 6521, 7904, 807, 1834, 2751, 4079, 4691, 6065, 6715, 7585, 896, 1550, 2751, 3522, 5036, 5459, 6422, 7592, 1004, 1708, 2751, 3276, 4845, 6034, 6385, 7852, 528, 1550, 3116, 3421, 4298, 5814, 7234, 7930, 314, 1695, 3116, 4021, 4873, 5575, 7149, 8051, 1004, 1282, 3029, 4015, 5097, 6154, 7106, 8081, 845, 1942, 2915, 3605, 4711, 5918, 7053, 7533, 1090, 1942, 2559, 4010, 5110, 5775, 7224, 7837, 833, 1871, 2315, 4124, 4555, 5515, 7098, 7451, 859, 2046, 2946, 4092, 5125, 5223, 6774, 7336, 757, 1147, 2874, 3424, 4214, 5364, 6840, 8206, 1015, 1752, 3021, 3547, 4916, 6103, 6308, 8237, 878, 2068, 2656, 3771, 5129, 5963, 6701, 7563, 225, 1570, 2746, 3183, 5088, 5549, 6607, 7248, 699, 1286, 3026, 3239, 4737, 5953, 7237, 7929, 654, 2034, 2833, 3394, 4549, 5580, 6607, 7485, 654, 1286, 2869, 3886, 4877, 5723, 7129, 7451, 543, 1851, 3062, 4111, 4398, 5767, 7132, 8270, 818, 1991, 3021, 3516, 5038, 5296, 6604, 7856, 419, 2017, 3095, 3803, 5104, 5677, 7120, 8185, 419, 2017, 2729, 3595, 4555, 6186, 7120, 7865, 419, 2017, 2669, 3914, 4704, 5493, 6972, 8185, 419, 2017, 3021, 3825, 4890, 5678, 7226, 7664, 722, 1736, 2429, 3994, 5060, 5836, 6504, 7740, 722, 1411, 2263, 3628, 5040, 6205, 7165, 7794, 726, 1586, 2794, 4095, 4978, 5908, 6603, 7838, 862, 1586, 2481, 3268, 4459, 5409, 6947, 7873, 1080, 2047, 2918, 3258, 4954, 5624, 6692, 7880, 1080, 1586, 2407, 3727, 4954, 5992, 6466, 7809, 1080, 1834, 2734, 4153, 4351, 5944, 6345, 8168, 386, 1735, 2329, 3313, 4720, 6154, 6610, 8000, 784, 1742, 2905, 3745, 4641, 6125, 7127, 8123, 784, 1415, 2905, 4155, 4382, 5335, 6787, 8077, 1009, 1736, 2905, 3570, 4459, 5352, 7184, 7804, 266, 1496, 2874, 3939, 5128, 5580, 7078, 8030, 540, 1586, 2728, 3517, 4679, 5579, 6754, 7675, 314, 1806, 2561, 3547, 4297, 5512, 6612, 7821, 574, 1806, 2564, 3305, 4417, 5594, 7114, 7266, 1009, 1806, 2805, 3580, 4942, 5224, 6978, 7463, 266, 1806, 2885, 3679, 4321, 5280, 6680, 7917, 314, 1806, 2924, 3358, 4663, 6135, 6311, 7704, 784, 1806, 2710, 3878, 4225, 5610, 7043, 7973, 266, 1806, 2656, 3631, 4321, 6167, 7140, 7986, 314, 1806, 3029, 3727, 4694, 6195, 6224, 7791, 784, 1938, 2565, 3476, 4848, 5848, 6579, 7492, 504, 1326, 2492, 3865, 4611, 5574, 6491, 7825, 981, 1826, 3020, 3405, 5127, 5367, 7211, 7704, 575, 1294, 2595, 4043, 4179, 5899, 6672, 8094, 453, 1850, 2429, 3219, 4784, 5829, 6338, 7260, 228, 1175, 2941, 3838, 4925, 5310, 7100, 8117, 654, 1826, 2366, 3592, 4592, 5398, 6272, 7664, 240, 1674, 2542, 3337, 4890, 6149, 6850, 7494, 240, 2034, 2282, 4166, 4549, 5811, 6486, 8085, 240, 2002, 2944, 3276, 5048, 5385, 6432, 8126, 256, 1252, 2473, 4092, 5061, 5550, 7014, 7919, 484, 1758, 3150, 3470, 4859, 5792, 6575, 7732, 488, 1851, 3007, 4068, 5166, 5677, 6338, 8260, 915, 2017, 3065, 3825, 4798, 5677, 6794, 8196, 419, 1648, 2914, 3827, 4877, 5963, 6671, 7485, 293, 2088, 3124, 3518, 4879, 5925, 6771, 7349, 171, 1396, 2989, 4026, 4429, 5961, 7103, 7717, 1015, 1833, 2340, 4066, 4681, 5908, 7188, 8132, 450, 1480, 2293, 3218, 4387, 5649, 6756, 7428, 731, 1897, 2534, 3660, 4512, 5678, 6605, 7458, 547, 1120, 2785, 4133, 4966, 5802, 6384, 7678, 1067, 1205, 2137, 3925, 4901, 5213, 6517, 7255, 547, 1205, 2785, 3796, 5128, 5337, 6366, 7823, 266, 1469, 2587, 3394, 4508, 5440, 6716, 7572, 692, 1120, 3103, 3552, 4729, 6080, 7192, 8047, 938, 1469, 2481, 3623, 4256, 5719, 6900, 8067, 864, 1120, 2137, 3742, 4727, 6125, 6838, 7311, 277, 1913, 3040, 3718, 4720, 5616, 7155, 7810, 1024, 1521, 3040, 3962, 4865, 5678, 6599, 8174, 970, 1446, 2137, 3736, 5183, 6210, 6732, 8009, 1011, 2035, 2970, 3736, 5079, 5834, 6521, 8066, 1024, 1755, 2570, 3755, 4612, 5321, 6876, 8107, 970, 1446, 2137, 3736, 4781, 5538, 7100, 7706, 1011, 1686, 2554, 3561, 5092, 5935, 6692, 7999, 1016, 1315, 2493, 3391, 5022, 5233, 7217, 8099, 938, 1318, 2361, 3416, 4634, 5749, 6716, 7768, 961, 1668, 2541, 4102, 4861, 6123, 7016, 8046, 913, 1865, 3092, 4155, 5011, 6171, 7190, 7717, 833, 1510, 2924, 3732, 4225, 5824, 6938, 7767, 1097, 1684, 2838, 4068, 5115, 5705, 6677, 8147, 225, 1564, 2988, 3298, 4334, 5827, 6251, 7919, 225, 1286, 2163, 4125, 4412, 5503, 6688, 8260, 225, 1905, 3147, 3798, 4267, 5767, 7103, 7260, 225, 1633, 2287, 4006, 4863, 5963, 6717, 7717, 118, 1597, 3021, 3352, 4583, 5296, 6996, 7524, 334, 1286, 2138, 4168, 4224, 5534, 6624, 8173, 118, 1112, 2340, 4005, 4844, 5901, 6612, 8130, 225, 1958, 2904, 3362, 4459, 5778, 7066, 7781, 568, 1633, 3147, 4144, 5061, 5518, 6909, 7956, 617, 1623, 2970, 3879, 5138, 5534, 6740, 8132, 833, 1147, 3008, 3751, 4966, 5840, 6752, 8210, 335, 1856, 2941, 3316, 4337, 5551, 7078, 7706, 862, 1834, 2453, 3395, 4606, 5985, 7097, 7772, 1080, 1397, 2944, 3751, 4970, 5603, 7059, 7790, 668, 1434, 2958, 4021, 4716, 5819, 6334, 7757, 668, 1826, 2979, 4082, 4825, 5345, 6466, 7273, 981, 1509, 2661, 3169, 4423, 5803, 6470, 7751, 940, 1370, 2515, 4073, 4212, 5263, 6708, 7929, 440, 1897, 2938, 3398, 4191, 5610, 7033, 7575, 440, 1724, 2803, 3703, 4681, 5565, 7168, 7660, 440, 1370, 3006, 3933, 4903, 5980, 6671, 8006, 440, 1459, 2349, 3832, 4688, 5216, 6850, 7631, 857, 1403, 2868, 3965, 4918, 5686, 7047, 7256, 1084, 1403, 2332, 4151, 4259, 5474, 6753, 7887, 1052, 1453, 2975, 3424, 4918, 5413, 6525, 7918, 1057, 1770, 2559, 3316, 4954, 5605, 6840, 7469, 1003, 1509, 2498, 4096, 4347, 5539, 7197, 7451, 113, 1736, 2610, 4078, 4993, 5993, 6672, 8245, 487, 1742, 2258, 4078, 4493, 5482, 7103, 7483, 487, 1250, 2132, 3533, 4364, 5823, 6312, 7745, 443, 1938, 3029, 3375, 4736, 5640, 6847, 7533, 986, 1593, 2797, 3261, 4461, 5624, 6512, 8045, 807, 1593, 2797, 3943, 4539, 5800, 6669, 7673, 1090, 1593, 2552, 3392, 5190, 5874, 6354, 7620, 1025, 1676, 2357, 4150, 4782, 6160, 6254, 7454, 1025, 2055, 2440, 3540, 4467, 5746, 6979, 7260, 826, 1858, 2610, 3671, 5165, 5953, 6377, 8023, 778, 1685, 2556, 4096, 4536, 6002, 7023, 7469, 408, 1778, 2429, 4095, 4931, 5695, 7127, 8113, 104, 1510, 2261, 3516, 4993, 6160, 6807, 7887, 1025, 1472, 2422, 3631, 4274, 5573, 6566, 7531, 952, 1570, 2387, 3427, 4278, 5590, 6486, 7846, 568, 1961, 2561, 3936, 4201, 5438, 6282, 7473, 654, 1826, 2303, 4074, 4381, 5443, 6486, 7494, 225, 2079, 2792, 3595, 4586, 5677, 6443, 7677, 568, 2061, 2244, 3535, 5157, 5797, 6809, 7477, 256, 1252, 2554, 3777, 4775, 5767, 6740, 7831, 186, 2111, 2729, 4068, 5120, 6129, 6810, 7477, 818, 2017, 2806, 4011, 5079, 5981, 6338, 7831, 818, 2017, 3006, 3825, 5104, 6186, 6979, 8147, 105, 1468, 2729, 3904, 4870, 5548, 7120, 8080, 859, 2065, 2833, 3595, 4762, 5241, 7160, 7732, 617, 1468, 2454, 4153, 4536, 5987, 6717, 7750, 617, 2127, 2858, 3518, 4681, 5873, 6752, 8061, 617, 2002, 3062, 4145, 4681, 5548, 6840, 7707, 617, 2013, 3144, 4113, 5079, 5811, 6840, 7706, 617, 1468, 2349, 4068, 5130, 5767, 6671, 7664, 757, 1596, 2775, 4092, 4780, 6101, 7129, 7485, 617, 1974, 2833, 3552, 4923, 5580, 6604, 7563, 617, 1468, 3021, 3651, 4297, 6137, 7239, 8128, 617, 1468, 2775, 4153, 4549, 5534, 6717, 8261, 105, 2065, 2833, 3518, 5120, 5527, 7160, 8128, 859, 1684, 2970, 3754, 5157, 5296, 6988, 7706, 555, 1468, 2839, 3891, 4267, 5219, 7098, 8236, 555, 1564, 2554, 3891, 5190, 5892, 6972, 8132, 818, 1468, 3021, 3277, 4704, 5241, 7120, 8126, 488, 1622, 2806, 3893, 4870, 5981, 7124, 7732, 488, 1528, 3065, 3893, 4624, 5241, 7077, 7766, 568, 1570, 2469, 3596, 4411, 6149, 6988, 8080, 195, 1556, 2271, 3692, 4740, 5689, 6607, 7563, 824, 1286, 2904, 4168, 4611, 5413, 6909, 7691, 824, 1286, 2340, 4111, 4611, 5942, 7090, 8130, 654, 2060, 2833, 3914, 5079, 5385, 7035, 7781, 195, 1971, 2341, 4124, 4522, 5413, 6466, 7691, 579, 1905, 2608, 3951, 5075, 5719, 7169, 7563, 473, 1424, 2792, 3994, 4681, 5795, 7114, 7793, 915, 1851, 2669, 3827, 4549, 5677, 7232, 8261, 419, 2017, 2669, 3595, 4344, 5241, 6840, 8261, 419, 1851, 2914, 3914, 4344, 5677, 6840, 7715, 221, 1198, 2309, 3994, 4556, 5276, 6798, 7592, 424, 1707, 2503, 3717, 5135, 6014, 6803, 7823, 922, 1164, 2309, 3500, 5070, 5845, 7150, 7678, 1019, 1400, 2327, 3592, 4467, 5653, 7187, 7900, 668, 1164, 2607, 3446, 4861, 6010, 7140, 7989, 1088, 1356, 2874, 3219, 4741, 5613, 6749, 7534, 862, 1278, 3053, 3615, 4644, 5624, 7195, 7646, 271, 1886, 2439, 3765, 4776, 5837, 7181, 7435, 150, 1171, 2349, 3687, 4474, 6170, 7043, 8207, 1011, 1724, 2349, 3613, 4415, 5536, 6529, 8150, 844, 1196, 2218, 4025, 4705, 6062, 6286, 7986, 424, 1758, 2593, 3697, 4676, 5551, 7010, 7538, 211, 1510, 2847, 3188, 5107, 6025, 6740, 8113, 617, 1510, 2783, 3217, 5125, 5400, 6542, 7980, 568, 1468, 3149, 3687, 4513, 5223, 6914, 7888, 334, 1529, 2564, 4089, 4694, 5504, 7010, 7502, 225, 1396, 2346, 3917, 4398, 6110, 6986, 7555, 654, 2106, 3139, 3891, 4423, 5767, 6986, 7524, 518, 1758, 2995, 3803, 4398, 5413, 7095, 7504, 489, 1601, 2328, 4115, 4321, 5504, 7024, 7822, 746, 1752, 2710, 3831, 4667, 5689, 6486, 7696, 105, 1974, 2559, 3857, 5167, 5573, 6709, 8252, 955, 1400, 2995, 3518, 4762, 5808, 7098, 7831, 685, 1596, 2915, 3592, 4444, 5935, 7013, 7414, 737, 1507, 2841, 3486, 5001, 5594, 6367, 7559, 1103, 1349, 3106, 3547, 4539, 5742, 6881, 8203, 672, 1695, 2327, 3727, 4906, 5313, 6617, 7405, 487, 1350, 2627, 3555, 4848, 5435, 6224, 7727, 1040, 1550, 2751, 3384, 5197, 5639, 6371, 8165, 986, 1931, 2480, 3395, 4863, 6002, 7078, 7453, 211, 1269, 3133, 3660, 4969, 5923, 6810, 7476, 914, 1963, 2729, 3516, 4592, 5898, 7100, 7865, 746, 1910, 2151, 3848, 5138, 5953, 7157, 8227, 374, 1126, 2365, 4055, 5154, 6191, 6909, 7851, 807, 1403, 2797, 3446, 5045, 5455, 6517, 8078, 850, 1510, 2910, 3581, 4962, 5745, 6592, 7827, 1056, 1499, 2729, 3355, 5020, 5858, 6458, 8193, 980, 2079, 2925, 3945, 4993, 5832, 6302, 7962, 211, 1881, 3135, 4171, 4782, 5590, 7201, 7717, 844, 2084, 2139, 3472, 4423, 5413, 7152, 7936, 884, 1797, 3053, 3788, 4402, 5767, 6426, 7906, 672, 1550, 2701, 3580, 4985, 5370, 7035, 7454, 545, 1708, 2514, 3929, 5100, 6179, 6626, 7405, 545, 2009, 2610, 3329, 4402, 5556, 6847, 7808, 1025, 1550, 2131, 3749, 4562, 6194, 6413, 7927, 390, 1858, 3008, 4153, 4258, 5325, 6840, 8099, 1097, 2000, 3021, 3962, 5088, 6182, 6752, 8195, 859, 2000, 2729, 4145, 5159, 6123, 7084, 7664, 859, 1791, 2709, 3516, 5139, 5981, 7090, 7557, 452, 1601, 3046, 3455, 4914, 5713, 6536, 7293, 165, 1303, 2579, 3650, 4267, 5582, 6226, 7376, 617, 1421, 2960, 3455, 4980, 5435, 6309, 7918, 1033, 1421, 3129, 3909, 5109, 6004, 6286, 7563, 1067, 1280, 2724, 3752, 4321, 5347, 6349, 8227, 1025, 1206, 3137, 3324, 4225, 5615, 7052, 8254, 1025, 1676, 2352, 4078, 4622, 6175, 7111, 8236, 1025, 1797, 3033, 3918, 4622, 5663, 6850, 8185, 304, 1620, 2946, 3908, 4912, 5730, 7019, 7887, 304, 1721, 2946, 3773, 4366, 6182, 6540, 7563, 899, 1797, 2315, 3595, 4541, 5474, 6443, 8076, 127, 1756, 2971, 3891, 4870, 5918, 6702, 7303, 654, 2060, 2946, 4098, 4859, 6103, 6776, 7563, 127, 2002, 2946, 3995, 4836, 5787, 6430, 8130, 654, 2106, 2953, 3855, 4870, 5515, 6909, 7908, 654, 2106, 2729, 3376, 4398, 5385, 7207, 7707, 654, 2061, 2792, 3364, 4902, 6175, 7168, 7568, 240, 1606, 2953, 3873, 4863, 6175, 6914, 7397, 240, 1623, 2468, 3376, 5193, 6101, 6677, 7723, 105, 1248, 2151, 4106, 4374, 6149, 6302, 7919, 149, 1827, 2332, 3396, 4700, 5615, 7024, 7776, 807, 1834, 2678, 3637, 4495, 5334, 6856, 8079, 986, 1692, 3029, 3802, 4737, 5603, 6478, 7321, 807, 2033, 2515, 3812, 4478, 5721, 6991, 7770, 545, 1560, 2748, 3939, 5190, 5734, 6842, 7488, 986, 1692, 2751, 3850, 4646, 5298, 6865, 8017, 691, 1706, 2188, 3337, 4925, 5408, 6377, 7366, 986, 1924, 2346, 3423, 4437, 6175, 6682, 7865, 103, 1205, 2561, 3314, 4995, 5409, 7138, 7939, 940, 1942, 2291, 3711, 5005, 6103, 7129, 8128, 103, 1430, 2990, 4003, 4670, 5619, 6655, 7367, 103, 1994, 2655, 3741, 4790, 5675, 6749, 8181, 970, 2034, 2720, 3732, 4986, 5899, 6918, 7749, 981, 1732, 2797, 3391, 5138, 5824, 6443, 7693, 940, 1139, 2238, 3190, 5115, 5276, 7207, 8185, 1081, 1363, 3026, 3961, 4282, 5810, 6962, 8254, 512, 2068, 2293, 4096, 5058, 5573, 6566, 7664, 684, 1508, 3007, 3932, 4551, 5981, 6349, 7949, 709, 2060, 2980, 3822, 5166, 5950, 6614, 7918, 756, 1331, 2340, 3225, 4784, 5684, 6889, 7516, 617, 1945, 3098, 3918, 5138, 6085, 7056, 8017, 308, 2106, 3026, 3994, 4592, 5493, 6646, 8267, 914, 1963, 3061, 3955, 4589, 5216, 7132, 7732, 1056, 1363, 2936, 4145, 5080, 5705, 6810, 8260, 139, 1472, 2271, 3840, 4538, 6222, 6900, 7973, 234, 1349, 2610, 3613, 4702, 5664, 6437, 8240, 234, 1496, 2863, 4003, 4734, 5390, 7118, 8188, 265, 1349, 2373, 3162, 4569, 5526, 6663, 8181, 981, 1557, 2841, 3353, 4289, 5209, 6677, 7482, 308, 2111, 2669, 3909, 4387, 5580, 6467, 7557, 552, 2065, 3095, 3671, 4918, 6205, 6520, 7291, 142, 2065, 3095, 4071, 4822, 5901, 6709, 8195, 142, 2017, 3095, 3825, 4704, 6186, 7077, 7806, 488, 2017, 2746, 4071, 4624, 6186, 6794, 7631, 818, 2017, 2914, 3893, 4888, 5635, 7226, 8223, 818, 2017, 2914, 3893, 4888, 6081, 6794, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 1648, 2806, 3825, 4624, 6081, 6794, 7766, 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, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 28, 17, 66, 5, 28, 60, 5, 5, 5, 77, 73, 5, 76, 35, 5, 30, 63, 17, 55, 51, 5, 76, 33, 54, 5, 77, 73, 5, 64, 20, 5, 31, 14, 66, 5, 51, 63, 45, 51, 16, 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, 6794, 7766, 818, 1622, 2957, 3893, 4980, 6085, 6979, 7723, 1097, 1175, 2949, 3710, 4276, 5612, 7084, 7720, 818, 1622, 3117, 4011, 4782, 6081, 6709, 8223, 663, 1833, 3073, 3384, 5058, 5730, 6515, 7361, 1064, 1484, 2444, 3941, 4757, 5930, 7230, 7494, 271, 1171, 2868, 3284, 4720, 5204, 6432, 7831, 304, 2079, 2868, 3866, 4542, 5840, 7222, 7949, 804, 2094, 2746, 3917, 4586, 5705, 6850, 8261, 308, 1747, 3064, 3516, 5153, 5241, 6709, 7806, 804, 1534, 2947, 4068, 4888, 5832, 7010, 8195, 308, 1773, 2960, 3990, 5038, 6129, 6979, 8147, 804, 1963, 2783, 3982, 5139, 6085, 6979, 7557, 390, 1700, 2582, 4170, 4912, 5832, 6988, 7908, 401, 1620, 2520, 3990, 4215, 5883, 7218, 8066, 955, 2000, 3143, 3710, 4589, 5573, 7162, 7918, 973, 1199, 2580, 3684, 4550, 5958, 6984, 7710, 888, 1469, 3031, 3385, 4612, 5716, 6319, 7408, 1008, 1630, 2972, 3835, 5056, 5716, 6387, 7590, 1063, 2036, 3090, 3259, 4472, 5466, 7151, 7811, 776, 1244, 2641, 3751, 4308, 5944, 7039, 8092, 1057, 1399, 2741, 3840, 4604, 5616, 6588, 8090, 465, 1582, 3010, 3340, 4417, 5460, 6914, 7503, 161, 1838, 3106, 3986, 4520, 5972, 6906, 8167, 994, 1119, 2218, 4025, 4995, 5735, 6894, 7980, 862, 1758, 2974, 3812, 4555, 6005, 6958, 8101, 807, 1586, 2583, 3327, 5086, 5824, 6431, 7980, 495, 1671, 2805, 3262, 4364, 5695, 6397, 8050, 1090, 1706, 2885, 3229, 4687, 5315, 6603, 7920, 390, 1621, 2672, 3291, 4878, 6002, 6566, 7252, 955, 1550, 2791, 3711, 4872, 5896, 6565, 7776, 103, 2107, 2490, 4130, 4895, 5810, 6464, 8132, 103, 2053, 2566, 3741, 4860, 5607, 6582, 8248, 614, 1808, 2566, 3337, 5145, 5732, 6601, 8038, 487, 1966, 2566, 3410, 4717, 6044, 7138, 7498, 150, 1238, 2487, 3695, 4969, 5441, 6265, 7750, 150, 1238, 2788, 3751, 5052, 5250, 7111, 8213, 150, 1670, 2436, 4126, 4688, 5447, 6642, 8107, 826, 2035, 2321, 4005, 4651, 5944, 6584, 7846, 610, 2035, 2847, 3742, 4872, 6205, 6953, 7768, 610, 2035, 2838, 3842, 4554, 5726, 7157, 7602, 610, 1809, 2533, 3740, 4181, 5515, 7058, 7260, 610, 1529, 2348, 3917, 4552, 5710, 6718, 7421, 887, 1529, 2749, 4110, 5193, 6011, 6408, 8001, 1067, 1469, 2484, 3686, 4330, 5528, 6293, 7883, 692, 1529, 3151, 3584, 4591, 5364, 6649, 7738, 938, 1655, 2953, 3870, 4725, 5419, 6566, 7823, 938, 1531, 2251, 4038, 4538, 5263, 6468, 7846, 940, 1758, 3026, 3726, 4620, 5703, 6726, 8193, 1099, 2095, 2959, 3916, 4592, 5216, 6786, 7557, 390, 1637, 2340, 4085, 4589, 5705, 7010, 8260, 308, 1705, 3095, 4068, 5166, 6063, 6709, 7421, 390, 1705, 3064, 3188, 5085, 6211, 7010, 7948, 308, 1705, 2895, 3891, 5038, 6205, 7230, 8266, 571, 1370, 2340, 4174, 5087, 5288, 7217, 7949, 272, 1198, 2709, 4070, 4860, 6113, 7232, 8253, 572, 1758, 3080, 3359, 4983, 5852, 7094, 7397, 1062, 1139, 3075, 3225, 4211, 5610, 7120, 8235, 1057, 1966, 2656, 3788, 4556, 5797, 7242, 7698, 864, 1403, 2656, 3273, 4799, 5918, 7071, 8236, 668, 1157, 2196, 3714, 4696, 5903, 6466, 7657, 1036, 1108, 2929, 3910, 5040, 5526, 6933, 7747, 493, 1582, 2491, 3179, 4499, 5557, 6244, 8049, 681, 1199, 2361, 3587, 4620, 5435, 6456, 7515, 333, 1199, 2748, 3434, 4322, 5833, 7188, 7671, 1033, 2075, 2247, 3413, 4691, 5724, 6784, 7284, 1090, 1146, 2582, 3836, 4756, 5663, 6302, 7947, 678, 1878, 2868, 3917, 5129, 5475, 6734, 8025, 427, 1777, 2783, 3982, 4828, 5824, 6615, 7753, 935, 1998, 2947, 4115, 4828, 6205, 7149, 8260, 935, 2068, 2960, 4115, 5104, 5534, 6752, 8195, 935, 1791, 2391, 3253, 5038, 6051, 6972, 8266, 450, 1791, 2925, 3814, 4533, 5832, 6715, 7563, 1099, 2032, 2960, 3710, 4276, 5534, 6979, 8237, 804, 1386, 2957, 4011, 4374, 5340, 7162, 8237, 223, 1812, 3092, 3232, 4525, 5986, 7073, 7296, 895, 1770, 2810, 3581, 4830, 6119, 6560, 8061, 319, 1283, 2990, 3630, 4800, 5549, 7086, 7298, 1033, 1284, 2805, 3591, 5152, 5264, 6799, 7744, 1035, 1271, 3061, 3307, 5192, 5573, 7021, 7919, 887, 1978, 2690, 3305, 4237, 5277, 6734, 7250, 582, 2094, 2250, 3398, 4762, 6007, 6991, 8234, 986, 1931, 2787, 3300, 4571, 6002, 6724, 8241, 807, 1146, 2346, 3358, 4716, 6114, 6576, 8086, 487, 1397, 2461, 4082, 4878, 5788, 7017, 8266, 545, 2107, 2346, 3963, 4770, 5269, 6256, 7671, 930, 1732, 2787, 3695, 4816, 6218, 6224, 7756, 778, 1806, 2346, 3776, 4763, 5512, 7099, 7479, 1090, 1472, 2461, 4070, 4913, 5614, 6338, 7888, 317, 1878, 2487, 3464, 4596, 5845, 7168, 7946, 225, 1684, 2566, 3662, 4412, 5975, 6610, 7811, 225, 1801, 2718, 3522, 5120, 5443, 6898, 7612, 225, 1801, 2875, 4003, 5079, 6137, 6668, 7386, 228, 1452, 2566, 3564, 5193, 5761, 7043, 7899, 225, 1424, 2976, 3555, 4423, 6163, 6876, 7524, 228, 1452, 2359, 4037, 5083, 5640, 6338, 8262, 228, 1529, 3147, 3831, 5193, 6211, 7043, 7806, 256, 1529, 2221, 3374, 5167, 5381, 7049, 8130, 959, 1827, 2729, 3692, 4555, 6085, 6575, 7865, 271, 1108, 2429, 4088, 4884, 6147, 6333, 7791, 875, 1865, 2486, 3756, 4800, 5665, 7002, 7634, 875, 1582, 2154, 3793, 4203, 6009, 7206, 7492, 203, 2050, 2693, 3707, 4910, 5742, 7083, 7803, 339, 1897, 2541, 3793, 4876, 5858, 6426, 7828, 368, 1582, 2863, 3784, 4218, 5909, 6391, 7362, 339, 1582, 2329, 3741, 5003, 5347, 7057, 7930, 113, 1582, 2859, 3703, 4603, 5559, 7127, 8004, 917, 1455, 2361, 3658, 4889, 5745, 7059, 7850, 938, 1199, 3106, 3434, 4369, 5860, 7221, 7693, 643, 1499, 3080, 3399, 4818, 5599, 6825, 7838, 308, 1770, 3008, 4067, 4738, 6075, 7184, 8083, 405, 1232, 2860, 4011, 5061, 5678, 7111, 7284, 1056, 1675, 3006, 3645, 4337, 6131, 7129, 8267, 113, 1826, 2361, 3662, 4991, 6012, 6901, 7800, 546, 1609, 2953, 4008, 4363, 6135, 6596, 7496, 1050, 1283, 2951, 3958, 4539, 6104, 7200, 7510, 1100, 1349, 2757, 3394, 4716, 5526, 7200, 8240, 493, 1108, 2480, 3765, 4591, 6026, 6829, 8091, 884, 1349, 2383, 3307, 5169, 5377, 6632, 8268, 940, 1286, 2820, 3994, 4983, 5574, 6646, 8139, 1097, 2111, 3110, 3962, 5088, 6146, 6752, 7437, 552, 1963, 2925, 4145, 4713, 6175, 6393, 8193, 153, 1286, 2163, 4115, 5150, 5436, 7207, 7753, 818, 1475, 3064, 3803, 4888, 5219, 7129, 8267, 488, 1475, 3064, 3803, 4583, 5968, 6972, 8195, 935, 2017, 3110, 4115, 5058, 5635, 7077, 7766, 935, 2017, 2164, 3188, 4798, 6186, 6709, 7766, 473, 1386, 2234, 3904, 5060, 5654, 6467, 7887, 283, 1871, 2428, 3168, 4387, 5585, 6721, 7270, 473, 2037, 2301, 3438, 4365, 5476, 7012, 7781, 405, 1467, 2925, 3901, 4762, 5922, 6344, 7720, 392, 1935, 2940, 3179, 4800, 5573, 6648, 8072, 723, 1758, 2915, 3434, 4354, 5457, 6377, 8188, 491, 1494, 2848, 3384, 4784, 5976, 6834, 8161, 876, 1397, 2156, 3434, 4415, 5589, 7155, 7786, 876, 1808, 3032, 3764, 5122, 5657, 6899, 7277, 390, 1806, 2941, 3877, 4737, 5752, 6816, 8103, 1099, 2046, 2746, 3945, 4861, 5767, 7090, 8260, 555, 2041, 2996, 3891, 4861, 5899, 6901, 8083, 143, 1706, 2729, 4145, 5122, 5658, 6614, 7678, 878, 1706, 2482, 3623, 4266, 5642, 7004, 8170, 288, 1706, 2316, 3488, 5036, 5864, 7207, 8041, 160, 1112, 3144, 3943, 5187, 5810, 6444, 7616, 1074, 1676, 2951, 3792, 4775, 5369, 6913, 7678, 938, 1958, 2316, 3241, 4228, 5734, 6608, 7516, 961, 1695, 3039, 3417, 4846, 5751, 7140, 7822, 308, 1992, 2332, 3994, 4551, 6063, 7012, 7831, 956, 1660, 3053, 4018, 5104, 6195, 7201, 8083, 818, 2041, 2838, 3825, 5080, 6103, 7162, 7570, 512, 1620, 2960, 3671, 4980, 5968, 6979, 7485, 935, 1175, 3064, 3893, 5038, 6182, 6786, 7806, 488, 2017, 3117, 3825, 4287, 6139, 7201, 7949, 935, 1845, 2996, 4068, 5080, 6182, 6996, 7720, 935, 1992, 2833, 3188, 5038, 5963, 7111, 7720, 935, 1847, 2833, 4068, 4287, 5534, 6794, 7641, 488, 1648, 2970, 4071, 4704, 5767, 7239, 8261, 818, 1648, 2164, 3374, 4704, 6137, 6979, 7723, 555, 1750, 2839, 3932, 5038, 6137, 7201, 7723, 859, 1564, 2340, 4068, 5083, 6163, 6604, 8076, 859, 1564, 2340, 3838, 4512, 5844, 7077, 7723, 555, 1974, 3021, 3825, 4387, 5635, 7077, 8080, 555, 1684, 3064, 4153, 4624, 6182, 7226, 8080, 555, 1684, 2970, 3827, 4798, 5981, 6996, 7732, 915, 1622, 2806, 3827, 4512, 5635, 6996, 8126, 555, 1684, 3064, 3374, 4681, 5534, 7124, 7723, 555, 1684, 2970, 4068, 4681, 5811, 6589, 7677, 555, 1147, 2833, 4168, 4890, 5901, 6251, 8223, 555, 1684, 3021, 3374, 5159, 5534, 6589, 7732, 555, 1684, 3021, 3891, 4387, 5635, 7152, 8196, 555, 1750, 2833, 4071, 4681, 5550, 7207, 8196, 915, 1684, 2164, 3825, 4624, 5963, 7120, 7485, 555, 1684, 2833, 3680, 4624, 5635, 6688, 8196, 915, 1622, 2833, 3374, 4798, 5635, 7120, 7766, 818, 1648, 3117, 3367, 4798, 5635, 7124, 8126, 818, 1648, 2833, 3893, 5060, 6186, 7120, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6584, 8196, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8223, 4, 2 ]

[ 1, 64, 17, 53, 5, 17, 75, 5, 76, 45, 29, 5, 64, 66, 45, 52, 5, 41, 39, 54, 66, 52, 47, 5, 44, 52, 73, 53, 16, 54, 30, 5, 31, 16, 5, 33, 53, 16, 54, 16, 54, 64, 5, 16, 62, 11, 54, 5, 76, 45, 29, 5, 76, 48, 5, 64, 66, 69, 30, 5, 5, 3, 945, 2097, 3144, 4068, 5166, 6211, 7006, 8147, 186, 2098, 3065, 4174, 4704, 5963, 7077, 8147, 518, 2127, 2271, 3704, 4611, 5548, 6589, 7904, 518, 1596, 2946, 4113, 4870, 5677, 6612, 7715, 654, 1597, 2340, 3599, 4773, 5942, 6917, 7920, 127, 2013, 2692, 3487, 5159, 5514, 6579, 7698, 518, 2111, 3064, 3376, 4775, 5963, 6431, 8103, 256, 2017, 3147, 3761, 5007, 6149, 7120, 8130, 575, 1241, 2941, 3994, 4834, 5491, 7198, 7727, 204, 1735, 3010, 3277, 4937, 5934, 6798, 7467, 1098, 1789, 2824, 3672, 4835, 5684, 6758, 7685, 1006, 1301, 2578, 4083, 4709, 5526, 6843, 8261, 391, 1338, 2623, 4100, 4969, 5938, 6929, 7412, 391, 2088, 2981, 4029, 5175, 5350, 6871, 7715, 663, 1874, 3053, 3858, 4856, 6211, 6408, 8226, 391, 1705, 2946, 3858, 5166, 6137, 7100, 7498, 767, 1856, 2554, 3430, 4622, 5850, 6793, 7717, 948, 1299, 3063, 3513, 4894, 5802, 6404, 7508, 335, 1477, 3020, 4004, 4376, 6028, 6772, 7687, 731, 1776, 2163, 3391, 4983, 5834, 7000, 7752, 511, 1770, 2485, 4167, 4305, 5417, 6378, 7483, 1030, 1469, 2260, 3340, 4339, 6064, 6860, 7449, 938, 1469, 3085, 3963, 4232, 6159, 6935, 7899, 970, 1499, 2363, 3507, 4688, 5259, 7111, 7492, 684, 2068, 2960, 3990, 4532, 5610, 7197, 8261, 684, 1804, 3135, 4028, 4398, 6131, 6820, 7641, 684, 1998, 3110, 3983, 4762, 5705, 6515, 7764, 684, 1804, 2369, 3916, 4398, 6063, 7218, 8103, 715, 1804, 2989, 3983, 5111, 5388, 6613, 7678, 715, 2094, 2895, 4150, 5019, 5870, 6852, 7842, 776, 1747, 2679, 3931, 4212, 6210, 7100, 7530, 610, 1977, 2924, 3240, 5066, 5567, 6613, 7791, 104, 1984, 3061, 3740, 4952, 6095, 6608, 7367, 271, 2079, 2659, 3351, 4256, 5283, 7079, 8140, 895, 2019, 2137, 3877, 4448, 5422, 6637, 7988, 1101, 1407, 2393, 3793, 4330, 5574, 6804, 7439, 840, 1826, 2638, 3474, 4311, 5641, 6903, 8039, 981, 1794, 2788, 3558, 4225, 6179, 6413, 7628, 356, 1942, 2419, 3470, 5169, 5918, 7223, 7671, 1097, 1562, 2330, 4071, 4551, 5892, 7120, 7437, 186, 1791, 2838, 3932, 5080, 6131, 6688, 7876, 183, 1490, 2943, 4145, 4780, 5550, 6604, 8129, 225, 1633, 3133, 4125, 4583, 5292, 6749, 8266, 568, 2013, 3021, 3352, 5081, 5677, 6604, 7677, 334, 1286, 2560, 4005, 4192, 5527, 6338, 7869, 757, 2127, 3133, 4096, 4411, 5436, 7129, 7303, 757, 2127, 2833, 4168, 4669, 5678, 6224, 8093, 757, 1597, 2656, 3470, 4459, 5942, 7069, 8076, 105, 2111, 2656, 3550, 4398, 5241, 7090, 8262, 859, 1684, 2880, 3564, 4870, 5549, 7100, 7476, 555, 1684, 2554, 4068, 4681, 5438, 7160, 8076, 617, 2127, 2554, 3277, 4611, 5413, 6715, 7706, 225, 1750, 3105, 3662, 5166, 5436, 6338, 7717, 654, 1210, 2345, 4132, 4687, 5892, 7091, 7677, 654, 1750, 2596, 4006, 4344, 5609, 6563, 8262, 654, 2111, 3000, 3879, 4877, 5840, 7069, 7509, 518, 1917, 2473, 3891, 5083, 5660, 6830, 7869, 240, 2002, 2959, 3803, 4918, 6097, 6671, 7717, 789, 1851, 2683, 3689, 4551, 6175, 6671, 8083, 789, 2078, 2880, 3595, 4398, 5241, 6988, 7831, 789, 1756, 2880, 3914, 4716, 5678, 6579, 7831, 518, 1974, 2806, 3363, 4638, 6175, 6444, 7485, 183, 1851, 2554, 4114, 4583, 5892, 6996, 7677, 356, 1945, 2833, 3226, 4859, 5677, 6889, 7303, 160, 1561, 2980, 4168, 5138, 5313, 6614, 8078, 895, 1782, 2422, 3394, 4470, 5396, 6344, 7365, 465, 2033, 2210, 3662, 4694, 5828, 7043, 7577, 150, 1510, 2836, 4151, 5164, 6118, 6768, 7948, 504, 2059, 2920, 3635, 4255, 5323, 7086, 8071, 643, 1137, 2373, 3418, 4343, 5364, 6902, 7515, 970, 1723, 2142, 4004, 4538, 6040, 6605, 7481, 150, 1407, 2173, 4010, 4702, 5740, 6567, 8121, 386, 1440, 2876, 4128, 4299, 5300, 7241, 7648, 1011, 1812, 2173, 3249, 4717, 5685, 6776, 8070, 938, 1777, 2173, 3830, 4592, 5620, 7186, 8224, 970, 1723, 3112, 3388, 4859, 5871, 6792, 8213, 304, 1407, 2971, 3701, 4859, 6024, 6810, 7591, 256, 1403, 2895, 4026, 4602, 5413, 6786, 7976, 518, 2106, 2783, 3646, 5061, 5515, 6296, 8036, 256, 1597, 3026, 3994, 5079, 5534, 7149, 7547, 256, 2106, 2904, 3440, 5159, 5550, 6671, 7476, 256, 1750, 2970, 3761, 4398, 5515, 6892, 8236, 256, 1750, 2729, 3364, 4888, 5579, 6521, 8077, 256, 2065, 2473, 4096, 4512, 6149, 7006, 8080, 256, 1750, 3147, 4166, 4681, 6110, 7132, 7677, 256, 1851, 2970, 3761, 4638, 5719, 6443, 7509, 568, 2065, 2729, 3376, 4387, 5436, 6985, 7715, 1047, 1462, 2151, 3361, 4654, 5202, 6979, 7575, 318, 1601, 2245, 3936, 4729, 5285, 7056, 7906, 247, 1472, 2298, 3912, 4510, 5873, 6540, 7442, 545, 1167, 2377, 4007, 4556, 5914, 6924, 8092, 986, 1747, 2661, 3251, 4321, 5867, 6485, 7846, 1025, 1633, 2766, 3464, 4337, 5490, 6746, 8049, 504, 1829, 2254, 3292, 4749, 5618, 6448, 8168, 731, 1778, 2693, 3929, 5075, 6014, 6736, 7270, 223, 1763, 2926, 4145, 5083, 5976, 6382, 7838, 955, 1562, 2926, 3961, 5058, 5684, 6734, 8179, 512, 1998, 2803, 3917, 4533, 5730, 6786, 8195, 804, 1998, 3064, 4011, 5139, 6211, 6752, 8147, 914, 1847, 2520, 4006, 4912, 6129, 7084, 8266, 555, 2046, 3008, 3866, 4622, 5832, 6850, 7806, 757, 2034, 2473, 3245, 4896, 5386, 7247, 7476, 304, 1596, 3147, 3524, 4372, 5873, 6615, 8080, 1033, 1278, 2274, 3909, 4852, 6010, 6632, 7743, 840, 1814, 2214, 3356, 4801, 5510, 6932, 8069, 884, 1938, 3037, 3585, 4755, 5370, 6500, 7904, 807, 1652, 2316, 3517, 4579, 6107, 7154, 8167, 986, 2033, 2750, 3631, 5036, 6077, 6663, 7937, 487, 1924, 2678, 3601, 4725, 5765, 6414, 8096, 1025, 1388, 2923, 4007, 4620, 5223, 6426, 7704, 643, 2053, 2751, 3582, 4555, 5880, 7041, 7831, 887, 2053, 2751, 3560, 5022, 6135, 7012, 8098, 150, 1388, 2750, 3464, 4321, 5600, 7091, 8254, 443, 1633, 2751, 3375, 4306, 5810, 6612, 7809, 1101, 1842, 2974, 3205, 4321, 5223, 7238, 8214, 881, 1832, 2751, 3182, 4310, 5863, 7191, 8178, 1040, 1628, 2495, 3623, 4321, 5624, 6871, 8163, 840, 1828, 2716, 3842, 4321, 5787, 6986, 7397, 424, 1509, 2296, 3822, 4896, 5979, 6884, 7527, 887, 1199, 2389, 3290, 5042, 6002, 6849, 7774, 887, 1199, 2503, 3430, 5017, 5512, 6612, 7564, 887, 1850, 2858, 3154, 4702, 6002, 6478, 7428, 887, 1503, 2727, 3692, 4548, 5512, 6494, 7415, 150, 1509, 2536, 3595, 4514, 5886, 6810, 7462, 1047, 1994, 2905, 3233, 4830, 6200, 7095, 8098, 948, 2008, 2213, 3233, 4674, 5750, 6891, 8039, 668, 1820, 2652, 3771, 4278, 5223, 7143, 8071, 1036, 1400, 2361, 3459, 4543, 5249, 6728, 7819, 620, 1529, 2170, 3290, 4592, 5393, 6437, 7947, 1024, 1529, 2274, 3496, 4218, 5713, 6724, 7892, 692, 1529, 3060, 3410, 4965, 6116, 6569, 8046, 970, 1356, 2717, 3727, 4221, 5235, 6749, 8222, 504, 1302, 2923, 3660, 4200, 6222, 7018, 7834, 1033, 1633, 2845, 4102, 4831, 5413, 6750, 7812, 731, 1865, 2945, 3912, 4758, 6204, 6224, 7855, 1025, 1797, 2163, 4093, 4586, 5924, 6333, 7678, 271, 1708, 2163, 4164, 5098, 6063, 7003, 8172, 1025, 1494, 2163, 4145, 4179, 5810, 6302, 7260, 993, 1116, 2505, 4005, 4834, 5729, 7207, 7781, 535, 1873, 3054, 3605, 4321, 5731, 6313, 7470, 535, 1865, 2902, 3416, 4321, 6124, 7042, 8134, 1084, 2036, 2440, 3529, 4278, 6002, 6715, 7461, 104, 1915, 2436, 3259, 4966, 6068, 7098, 7528, 1025, 1146, 2678, 3771, 4536, 5260, 7157, 7904, 826, 1255, 2731, 3771, 4418, 5822, 7158, 7856, 826, 1633, 2389, 3544, 4536, 6084, 7017, 7254, 150, 1255, 2716, 4145, 5074, 6007, 6663, 8047, 1081, 1878, 2241, 3233, 4501, 5480, 7120, 7939, 1090, 1978, 2716, 4145, 5159, 5974, 6967, 8245, 663, 1797, 3006, 3909, 5088, 5410, 6540, 7806, 959, 1881, 3144, 3310, 5088, 5610, 7093, 7920, 462, 1557, 2330, 3669, 4887, 6207, 6781, 7785, 1103, 2036, 2693, 4007, 5052, 6004, 7188, 7355, 1016, 1918, 2625, 3191, 4533, 5223, 7066, 8061, 684, 1821, 3006, 3994, 4856, 6163, 6604, 7720, 915, 1406, 2820, 4011, 4870, 6051, 6809, 7806, 818, 1791, 3135, 3891, 4551, 6129, 7201, 7949, 818, 2064, 3135, 4018, 4704, 5661, 7124, 7806, 555, 2000, 3110, 4071, 4870, 5210, 6709, 8260, 617, 1750, 2833, 3914, 4512, 6181, 7218, 7631, 617, 2013, 2356, 3914, 4398, 6137, 7132, 7563, 617, 2013, 3144, 4113, 4870, 5385, 6338, 8066, 617, 2002, 3064, 4145, 5060, 5901, 6412, 8236, 617, 2127, 2554, 3407, 5134, 5678, 6810, 8066, 617, 2078, 2970, 3391, 4583, 6149, 7152, 7715, 617, 2002, 2806, 4125, 5159, 5493, 7120, 7865, 617, 1750, 2469, 4068, 4923, 6137, 6579, 8054, 617, 2127, 2560, 3967, 5159, 5514, 6251, 7717, 105, 1304, 3021, 3407, 4890, 5515, 6840, 7715, 105, 1332, 3021, 4071, 4859, 5811, 6810, 7458, 555, 2065, 3143, 3420, 4870, 5811, 7006, 7485, 186, 2111, 3143, 3825, 4870, 6186, 7098, 7715, 186, 2032, 3064, 3891, 5060, 5635, 7124, 8223, 142, 2017, 2806, 3825, 4704, 5892, 6996, 8147, 860, 2017, 3065, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2914, 3367, 4798, 5635, 7226, 8223, 488, 1528, 2164, 4170, 4798, 5635, 7124, 7949, 571, 1388, 2960, 3990, 4215, 6175, 6589, 7918, 166, 1388, 2481, 3761, 4914, 5828, 6579, 7539, 896, 1561, 3029, 4172, 4755, 5993, 6413, 7509, 1023, 1550, 2492, 3789, 4604, 5454, 6870, 7267, 986, 1858, 2890, 3421, 4201, 5618, 6600, 7384, 756, 1674, 2607, 3929, 5043, 6147, 6883, 7702, 356, 1315, 2693, 3259, 4384, 6135, 6623, 7948, 779, 1708, 2156, 3562, 4439, 6206, 7129, 7831, 510, 2079, 2803, 3771, 5166, 6129, 6709, 7838, 818, 1620, 3135, 4145, 4704, 6129, 6979, 7876, 488, 1804, 3135, 3893, 5061, 6139, 6979, 7806, 818, 1620, 3065, 4085, 5058, 6129, 6752, 7723, 915, 2017, 2914, 4145, 4624, 5635, 6996, 8147, 818, 1528, 2806, 3893, 5080, 5241, 7226, 7641, 555, 1648, 2806, 3550, 4630, 5901, 6677, 8066, 317, 1564, 2718, 4125, 5083, 6007, 7232, 7481, 856, 1389, 2577, 4125, 5153, 5887, 6547, 8245, 135, 1787, 2257, 3329, 4604, 5858, 6371, 7938, 930, 1720, 2190, 3395, 4326, 5547, 6619, 7539, 1064, 1960, 2263, 4161, 4303, 5548, 6848, 8235, 948, 1972, 3051, 4076, 5196, 5515, 6743, 7698, 831, 1236, 2794, 3430, 4807, 5350, 6852, 8082, 149, 1858, 3075, 3256, 4831, 5500, 6584, 7718, 731, 1655, 3053, 4150, 5091, 6070, 6235, 7386, 716, 1655, 2222, 3488, 4833, 5894, 7076, 7919, 223, 2062, 2990, 3259, 4883, 6028, 7100, 7559, 363, 2024, 3026, 4115, 4467, 5369, 6978, 7978, 271, 1164, 2469, 3967, 4983, 5257, 7184, 7862, 465, 1397, 2759, 3573, 4423, 6163, 6507, 7873, 1081, 2033, 3069, 3961, 4622, 5482, 6639, 7698, 887, 2033, 3146, 3233, 4620, 5918, 6260, 7568, 271, 1492, 2775, 3544, 5084, 5315, 6760, 7858, 1057, 1116, 3040, 3749, 5171, 5737, 6802, 7384, 404, 1439, 2751, 3843, 4855, 5749, 6631, 7313, 952, 1751, 3097, 4072, 4881, 6171, 7087, 7538, 1057, 1938, 2887, 3424, 5096, 5868, 6732, 8148, 271, 1768, 2728, 4073, 4530, 6010, 6299, 7676, 391, 1881, 2659, 4162, 4321, 5396, 6540, 7905, 887, 1227, 2797, 4082, 4426, 5500, 7004, 7687, 887, 1227, 2741, 4143, 5118, 5904, 7019, 7919, 887, 1227, 2807, 3440, 4896, 6014, 7207, 7631, 1090, 1773, 3135, 3671, 4912, 5204, 7019, 7557, 833, 1910, 2989, 3575, 5169, 5953, 6314, 7311, 240, 1889, 2923, 3182, 4776, 5830, 6961, 7559, 654, 1826, 2190, 3967, 4555, 6206, 7163, 7810, 127, 2013, 2659, 3933, 5083, 6182, 6604, 8093, 518, 2078, 2542, 3933, 4664, 5219, 7010, 8164, 518, 1924, 3133, 4083, 4381, 5811, 7230, 7706, 518, 1304, 2875, 3706, 4421, 5216, 6988, 8126, 518, 2061, 2959, 3470, 4529, 5425, 6941, 7715, 256, 1622, 3135, 4161, 4654, 6205, 7120, 7773, 552, 2045, 2783, 3914, 4704, 5223, 6575, 7720, 948, 1208, 2775, 3732, 4611, 5678, 7023, 7542, 536, 1769, 2584, 3578, 4365, 5317, 7238, 8212, 386, 1865, 2580, 3179, 4755, 5353, 6966, 7581, 1099, 1771, 3060, 3975, 4980, 5892, 7058, 7421, 956, 1933, 3064, 4097, 4536, 5565, 7157, 7949, 935, 2046, 2947, 4041, 5104, 5705, 7006, 8066, 555, 1620, 3022, 3990, 5165, 5219, 7058, 8267, 914, 1998, 2925, 4150, 5058, 5219, 7006, 7887, 120, 1199, 2594, 3771, 4967, 5962, 6278, 7756, 1015, 1468, 2139, 3922, 4533, 6119, 6925, 7879, 160, 1179, 2858, 3960, 4557, 6169, 6260, 7942, 271, 1619, 3112, 4147, 4477, 5499, 6333, 7331, 1067, 1669, 2604, 3477, 4350, 5517, 6928, 8023, 404, 1983, 3149, 3281, 4195, 6184, 6289, 7363, 536, 1919, 3019, 3427, 4804, 5496, 6635, 7361, 113, 1708, 2756, 3536, 4385, 6021, 7022, 7612, 113, 1553, 2532, 3748, 4672, 5775, 6663, 7480, 831, 1566, 2820, 3562, 4774, 6043, 6350, 8189, 850, 1676, 3109, 3351, 4244, 5899, 6884, 7899, 610, 1577, 2688, 4145, 4807, 5279, 6639, 7674, 887, 1879, 2582, 3540, 4971, 5478, 6884, 7423, 663, 1809, 2515, 3358, 4925, 6204, 6584, 8188, 831, 1581, 3033, 3866, 4764, 6084, 7095, 7976, 663, 1587, 2820, 3987, 4828, 5978, 6809, 7260, 955, 1845, 2793, 3681, 4781, 5515, 6588, 7383, 1035, 1581, 3006, 4146, 5153, 5899, 7217, 8076, 850, 1179, 2396, 3457, 5123, 5506, 6569, 7627, 826, 1727, 2902, 4066, 5072, 6024, 6980, 8101, 840, 1499, 2137, 3507, 5032, 5380, 7177, 7759, 535, 1363, 2868, 3245, 4708, 5624, 6286, 8028, 1025, 2055, 2775, 3832, 5100, 5729, 6889, 7298, 356, 1587, 3021, 4107, 4521, 6065, 6809, 7980, 488, 2041, 3008, 3226, 5104, 6195, 6604, 8147, 915, 2001, 3135, 3710, 4704, 5241, 7218, 7838, 105, 2000, 2991, 4145, 4762, 6123, 6566, 7563, 225, 1958, 2944, 3798, 4996, 5436, 6589, 8262, 568, 1958, 3042, 3782, 4988, 5356, 6327, 7835, 757, 1971, 3147, 3662, 4916, 5223, 7222, 7476, 552, 1386, 2340, 3424, 5167, 5276, 6752, 8260, 171, 2088, 3110, 3955, 4423, 5527, 7120, 8126, 132, 1833, 3143, 3662, 5053, 5841, 6239, 8126, 186, 1620, 3143, 3982, 4681, 5901, 6677, 8267, 1097, 1467, 2164, 4174, 5058, 6081, 6589, 7949, 211, 1523, 2936, 3982, 4822, 5385, 7168, 8054, 752, 1924, 3108, 4011, 4872, 6063, 6719, 7948, 826, 1407, 3092, 3916, 4288, 5699, 7111, 7570, 150, 1238, 3020, 3233, 4335, 5749, 6719, 7634, 150, 1421, 2419, 4145, 4402, 5573, 6732, 7442, 103, 1388, 2133, 3376, 4644, 5825, 6319, 8129, 103, 1499, 2448, 4103, 4441, 5257, 6889, 7954, 304, 1831, 2454, 4082, 4859, 5640, 7157, 7873, 955, 1924, 2454, 3945, 5193, 5216, 6286, 7831, 568, 2000, 2801, 3703, 4611, 5884, 6850, 8178, 568, 1570, 2975, 3746, 5012, 5248, 6880, 8061, 225, 1147, 2971, 4166, 4870, 5413, 7152, 7383, 225, 1392, 3141, 3394, 4918, 5942, 7103, 7913, 654, 2106, 2833, 4006, 4512, 5386, 7069, 7509, 228, 1304, 2833, 3276, 4700, 6110, 6308, 7563, 228, 2002, 2669, 3420, 4780, 5624, 7129, 7430, 228, 1597, 3133, 3914, 5143, 5493, 6996, 8261, 789, 2002, 2356, 3994, 4859, 5624, 6604, 7303, 419, 2078, 2473, 3803, 5120, 5624, 7120, 8076, 419, 2017, 2858, 3914, 4704, 5241, 7077, 8223, 105, 2127, 2941, 4071, 4423, 5515, 6604, 8262, 568, 1333, 2614, 3770, 4179, 5797, 7232, 7538, 391, 1930, 2808, 3251, 5091, 5884, 6343, 7750, 726, 1758, 2865, 3245, 4417, 6052, 6892, 7718, 864, 1735, 2794, 3635, 4672, 5637, 6888, 7477, 1024, 1509, 2361, 3420, 4335, 5984, 6334, 7649, 547, 1468, 2785, 3793, 4464, 5961, 6918, 8024, 504, 1490, 2353, 3496, 4635, 5899, 6791, 7727, 981, 1199, 2690, 3826, 4665, 5442, 7237, 7597, 1057, 1294, 2678, 4047, 4315, 5977, 6830, 7829, 1022, 1809, 2452, 3472, 5116, 6154, 6663, 8095, 1011, 1171, 2452, 3714, 4269, 5721, 6283, 7631, 940, 1485, 2788, 3904, 5000, 6005, 7004, 7702, 684, 1421, 3098, 4168, 4801, 6128, 7090, 7336, 1097, 1508, 2582, 4115, 4589, 6195, 6709, 7485, 779, 1668, 2943, 3982, 4551, 6103, 7006, 7421, 914, 1675, 2582, 3188, 4215, 5635, 7201, 7806, 914, 1963, 2947, 4068, 4980, 6182, 7168, 8237, 153, 1945, 2720, 3975, 4850, 5455, 7160, 7715, 1097, 1218, 2833, 4085, 4822, 5340, 6972, 7887, 488, 2017, 3117, 4114, 5058, 6211, 7226, 8260, 142, 2017, 2914, 4071, 4704, 5241, 6709, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 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, 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, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 14, 65, 35, 5, 66, 76, 45, 64, 66, 16, 30, 5, 11, 54, 5, 76, 17, 54, 5, 54, 48, 5, 5, 3, 945, 1528, 2806, 3803, 4704, 6211, 6988, 8147, 915, 2017, 2806, 3891, 4704, 5901, 6604, 8147, 617, 2032, 2473, 4028, 4818, 5678, 7181, 7929, 653, 1719, 2487, 3204, 4413, 6192, 6412, 8219, 673, 1388, 2335, 3185, 4240, 5990, 6659, 8158, 737, 1940, 2355, 3593, 4963, 6041, 6632, 7651, 302, 1388, 2380, 3218, 4339, 6041, 6717, 7462, 165, 1959, 2464, 3288, 4804, 5212, 6955, 7304, 331, 1286, 2974, 3742, 4284, 5695, 6339, 7872, 691, 1649, 2355, 3812, 4611, 5596, 6806, 8205, 639, 1112, 2355, 3224, 4329, 6118, 7181, 7539, 356, 1889, 2941, 3388, 4589, 6182, 6702, 7477, 568, 1674, 2839, 3596, 5145, 5245, 6884, 8159, 334, 1564, 2867, 3785, 5053, 5668, 6551, 7395, 568, 1674, 2262, 4168, 5075, 5998, 6550, 7683, 568, 1264, 3114, 3623, 4590, 5844, 7001, 7510, 757, 2034, 2468, 3239, 4985, 5657, 6757, 7867, 617, 2127, 2468, 4145, 4877, 5372, 6800, 7887, 153, 1750, 2833, 3873, 5167, 5385, 6996, 8267, 335, 1816, 2241, 3681, 5138, 5228, 6517, 7602, 1008, 1373, 2378, 3492, 4727, 5424, 7058, 7838, 344, 1368, 2958, 3515, 4246, 5349, 6401, 8033, 1001, 1268, 2741, 4076, 5034, 5703, 6852, 7291, 1022, 1510, 3060, 3991, 4812, 5942, 6440, 8214, 684, 1585, 2775, 4085, 5134, 6007, 6947, 7794, 818, 1856, 2943, 3710, 4447, 5796, 6972, 7485, 818, 1874, 2943, 3710, 5038, 5901, 6786, 8147, 935, 1218, 2989, 4011, 5060, 6025, 7006, 7806, 935, 1869, 3095, 3914, 5060, 6081, 7218, 7806, 555, 2017, 2957, 3914, 5165, 6103, 7207, 8185, 757, 2098, 2925, 4145, 4945, 6048, 7129, 7515, 276, 1490, 2951, 3185, 4538, 5556, 6298, 7781, 568, 1736, 2792, 4168, 4421, 5303, 6991, 8014, 541, 1883, 2340, 3297, 4715, 5799, 6808, 7303, 707, 2088, 2669, 3974, 4785, 5672, 7232, 7480, 475, 1304, 3139, 4113, 4836, 5210, 6740, 8054, 1056, 1981, 3098, 4006, 4398, 6149, 7098, 7726, 826, 2063, 2860, 3227, 4322, 5496, 6820, 7750, 280, 1338, 2137, 3816, 4588, 5209, 6542, 8161, 1040, 2094, 3137, 3366, 4905, 5364, 6765, 7615, 221, 2118, 2983, 3574, 4767, 5660, 7195, 7498, 722, 1530, 2251, 4153, 4368, 5631, 6717, 8213, 518, 1284, 2415, 3941, 4352, 5221, 6897, 7920, 699, 2052, 2660, 3879, 5072, 5308, 7017, 7608, 654, 1326, 2181, 3955, 4980, 5792, 6265, 8080, 127, 1806, 3108, 3555, 5138, 6062, 6309, 7881, 240, 1684, 2943, 3967, 4896, 5778, 6241, 7591, 240, 1623, 3065, 3595, 4423, 5892, 6979, 7806, 240, 2017, 3110, 3723, 4888, 5378, 6972, 7976, 789, 1756, 2554, 4113, 5167, 5678, 6701, 7707, 915, 1528, 2473, 3407, 4704, 5795, 6589, 8262, 419, 1528, 2473, 3930, 5083, 5534, 7077, 8237, 256, 1750, 2806, 3932, 5165, 5556, 6589, 7876, 225, 2097, 2221, 3646, 4895, 5556, 6338, 8069, 987, 1234, 2725, 3832, 4925, 5755, 7246, 8227, 920, 1732, 2282, 3997, 4321, 6142, 6676, 8259, 737, 2055, 2132, 3446, 4734, 5689, 6383, 7800, 737, 1108, 2396, 3446, 4539, 5982, 6485, 7857, 536, 1510, 2482, 3446, 5114, 5889, 6485, 8165, 373, 1510, 2444, 3448, 4896, 5982, 6606, 7920, 390, 1510, 3008, 4026, 4379, 5303, 6650, 8165, 881, 1210, 2688, 3605, 4790, 6001, 6608, 7547, 458, 1510, 2848, 3979, 4321, 5668, 6412, 7743, 1060, 2009, 2693, 3421, 4855, 5745, 6911, 7551, 428, 1828, 2492, 3421, 5029, 5835, 7136, 8025, 835, 1828, 2757, 3979, 4842, 5934, 7212, 7462, 581, 2043, 2974, 3735, 4678, 5512, 7057, 8061, 302, 2036, 2693, 4037, 4738, 5891, 6874, 7879, 492, 1376, 2275, 3787, 5019, 5341, 6828, 7862, 492, 2043, 2256, 3835, 4557, 5341, 6529, 7821, 1025, 1716, 2173, 3937, 4604, 5989, 7073, 7303, 610, 1867, 2463, 3233, 4855, 5543, 6531, 8107, 826, 1141, 2721, 3787, 4756, 6028, 6308, 7574, 826, 1865, 2254, 3842, 4185, 5905, 6956, 7467, 993, 1199, 2798, 3950, 4385, 5658, 6719, 7869, 993, 1773, 2207, 3842, 4823, 5924, 6740, 7911, 1025, 1655, 2998, 3195, 4423, 5458, 6677, 7527, 1025, 1529, 2436, 4147, 4287, 5313, 6472, 7695, 1025, 1867, 2923, 3876, 4627, 5433, 6515, 7905, 1025, 1867, 2771, 4093, 4284, 5515, 6367, 7360, 993, 1535, 2658, 3727, 5176, 5880, 7131, 7622, 1029, 1960, 2311, 3656, 4330, 5592, 7141, 7827, 1070, 1318, 2311, 3609, 4643, 5970, 7047, 7378, 966, 1783, 2137, 3979, 4321, 5900, 6249, 7582, 737, 1157, 2431, 3394, 4333, 6135, 7200, 7576, 266, 2059, 2152, 3322, 5111, 5313, 6878, 7571, 150, 1820, 2642, 3709, 5124, 5899, 6466, 8131, 223, 1763, 2740, 3619, 4999, 5538, 6896, 8106, 1033, 1110, 2710, 3605, 5135, 6128, 6774, 7775, 304, 1812, 2741, 4087, 5018, 5532, 7019, 7965, 767, 1156, 3007, 3578, 4946, 6085, 6576, 7627, 1047, 1757, 2989, 3967, 4743, 6007, 6414, 7965, 1011, 1120, 2937, 3840, 4214, 6125, 7112, 8236, 304, 1175, 2353, 3478, 4773, 6096, 6657, 7676, 401, 1669, 2878, 4152, 4533, 5550, 6704, 7437, 216, 1992, 3006, 3901, 5166, 5687, 6302, 8083, 731, 1992, 3064, 4096, 4691, 6014, 7157, 8016, 216, 1234, 2946, 3616, 4700, 6171, 7114, 8213, 559, 1363, 2934, 3394, 4755, 6067, 7150, 7263, 234, 1550, 2865, 3500, 4467, 5594, 6756, 7900, 545, 1356, 2345, 3623, 4443, 5321, 6562, 7638, 545, 1234, 2346, 3356, 5152, 5315, 7065, 7442, 582, 1768, 3091, 4079, 4571, 5863, 6224, 7852, 807, 1140, 2456, 4102, 4539, 5976, 7002, 7488, 487, 1771, 2346, 3727, 4364, 6119, 6293, 7574, 487, 1233, 2282, 3785, 4604, 6086, 6403, 7633, 487, 1581, 3091, 3475, 4364, 5208, 7044, 8210, 397, 1808, 3091, 4073, 5114, 5729, 7162, 8043, 397, 1577, 2166, 3741, 4776, 5787, 7182, 7350, 356, 1140, 2946, 4162, 4848, 5276, 7129, 8250, 757, 1669, 2346, 3424, 4385, 5923, 6350, 8128, 231, 1669, 2316, 3943, 4945, 5531, 7215, 7427, 756, 1808, 2316, 3679, 4881, 5526, 7117, 7736, 678, 1550, 2741, 3515, 4364, 6142, 7100, 7744, 103, 2068, 2309, 3644, 4238, 5223, 6869, 8117, 571, 1562, 2316, 3771, 4555, 5650, 7084, 8092, 510, 1140, 2728, 3879, 4622, 5901, 6687, 8248, 488, 1623, 2803, 4018, 4387, 5832, 7201, 7303, 142, 1623, 2781, 3825, 5038, 6211, 7152, 8066, 818, 2017, 3110, 4145, 5080, 6211, 7152, 8066, 915, 1528, 3110, 3914, 5061, 5635, 6979, 8147, 859, 2127, 2349, 4071, 5038, 5436, 6612, 8261, 617, 1564, 2156, 3374, 4622, 5493, 6809, 7907, 617, 1750, 2775, 3420, 4890, 6086, 6412, 8227, 617, 2127, 2659, 3374, 5159, 5223, 7098, 7717, 617, 2127, 3144, 3605, 4555, 6189, 6772, 8236, 617, 1147, 2970, 3407, 4555, 5811, 6671, 7906, 105, 1304, 2454, 3592, 5159, 5385, 6762, 7715, 105, 1304, 2992, 3592, 4549, 6110, 6313, 8080, 105, 1876, 3097, 4005, 4775, 5385, 7103, 8093, 105, 1876, 2316, 4015, 4549, 5580, 7160, 7563, 105, 1147, 2839, 3239, 4555, 5689, 6752, 7723, 105, 1147, 3064, 4006, 4555, 5580, 6810, 7303, 4, 2 ]

[ 1, 33, 64, 66, 16, 53, 40, 66, 44, 55, 5, 31, 16, 5, 75, 14, 52, 77, 72, 5, 17, 75, 5, 31, 16, 5, 62, 48, 64, 16, 78, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5901, 6604, 8083, 789, 1623, 2941, 4174, 4870, 6211, 6604, 7557, 189, 1397, 2231, 3759, 4903, 5455, 6558, 7678, 98, 1695, 3116, 3986, 5110, 5898, 6682, 8026, 723, 1706, 2396, 3848, 4848, 5662, 6680, 7930, 991, 1695, 2692, 3997, 4833, 5558, 6328, 8254, 776, 1821, 2951, 3214, 4648, 5695, 7168, 7574, 715, 1460, 2724, 3662, 4792, 6170, 6663, 7666, 225, 1452, 2380, 4070, 4622, 5610, 7207, 7470, 225, 2060, 2341, 4143, 5007, 5660, 7006, 7973, 195, 1332, 2775, 3470, 4326, 5296, 7160, 7960, 654, 1345, 2904, 4096, 5075, 6065, 7024, 8073, 654, 2106, 2904, 3394, 5159, 5385, 7082, 8118, 240, 1756, 2473, 4137, 4877, 5413, 6291, 8130, 543, 1851, 2729, 3726, 4549, 5581, 6604, 7838, 488, 1622, 2875, 3586, 4214, 5514, 6671, 8080, 915, 1622, 2806, 3595, 4798, 6157, 6840, 7715, 419, 1528, 3065, 3893, 4888, 6110, 6604, 8237, 518, 1961, 2340, 3364, 4877, 5550, 6998, 7706, 317, 1945, 2172, 4078, 4935, 6157, 6606, 7745, 271, 1349, 2795, 3533, 4580, 5727, 6603, 7957, 635, 2114, 2797, 3158, 4875, 5659, 6571, 7554, 1024, 1435, 2429, 3828, 4424, 5358, 7185, 8041, 980, 1644, 2533, 3917, 4807, 5500, 6809, 8215, 424, 1978, 2440, 3866, 5080, 5660, 7218, 7648, 391, 1797, 2946, 4162, 4635, 5481, 6734, 7545, 831, 1369, 2440, 3298, 4849, 5658, 6693, 7939, 725, 1581, 2709, 3472, 4954, 5425, 6226, 8234, 491, 1527, 3049, 4008, 4802, 5325, 6269, 8207, 396, 1202, 2487, 3525, 4384, 5751, 6883, 7929, 491, 1276, 2887, 3751, 4604, 5827, 6663, 8082, 672, 1706, 3086, 3785, 4539, 5745, 6908, 7298, 881, 1164, 2751, 4084, 4352, 6167, 7125, 7873, 480, 1942, 2480, 3225, 4321, 5827, 6483, 7797, 487, 1324, 2601, 3555, 4593, 5479, 6614, 7984, 103, 1830, 2642, 3225, 4539, 6122, 6414, 7250, 356, 1369, 2138, 3210, 4351, 5325, 6609, 8240, 807, 1881, 3116, 3770, 4343, 5224, 6615, 8150, 722, 1164, 2345, 3741, 4755, 5734, 6286, 7490, 1059, 1942, 2543, 3178, 4298, 5474, 6349, 8150, 807, 2067, 2543, 3456, 4298, 5810, 6251, 7789, 722, 1164, 2751, 3241, 4887, 6167, 6625, 8073, 536, 1706, 3039, 3741, 4881, 5757, 6614, 7559, 487, 1212, 2678, 3787, 4604, 5523, 7106, 7841, 887, 1581, 2268, 3792, 4365, 5765, 7017, 7578, 850, 1676, 2563, 3537, 4461, 5797, 6856, 8070, 826, 1676, 2891, 3259, 4455, 5512, 6898, 7787, 104, 1881, 2391, 3593, 4337, 5512, 7244, 7660, 1025, 1399, 2436, 3822, 4437, 5260, 6684, 7959, 831, 1581, 2946, 4101, 4993, 5606, 6777, 7941, 663, 1577, 2946, 3889, 4374, 5761, 6536, 7570, 308, 1175, 2515, 3917, 4844, 5771, 6967, 7574, 1037, 1956, 2766, 4143, 4533, 5534, 6540, 7818, 708, 1972, 3026, 3187, 4983, 5581, 6832, 8188, 668, 1171, 2361, 3656, 4800, 5793, 6614, 8041, 665, 1116, 3130, 4037, 4992, 6106, 7099, 8158, 547, 1275, 2536, 3475, 5064, 5390, 6894, 7828, 923, 1560, 2868, 3315, 5085, 5933, 6954, 8188, 440, 1933, 3112, 3692, 4748, 5614, 6258, 7918, 440, 1146, 2340, 3916, 4949, 6007, 6287, 7677, 440, 2021, 2793, 3430, 4771, 5998, 7168, 8188, 440, 1629, 2960, 3932, 4337, 5714, 6607, 7811, 572, 1560, 2868, 3710, 4437, 5863, 6607, 7805, 113, 2059, 2498, 3474, 5091, 6048, 6637, 8032, 875, 2059, 2456, 3652, 4199, 5782, 6885, 8013, 768, 2060, 3130, 3174, 4735, 5894, 6943, 7708, 866, 1966, 3030, 3835, 4739, 5480, 7200, 7930, 966, 1346, 2243, 3714, 4818, 5619, 7178, 7483, 683, 1828, 2647, 3531, 4959, 5387, 6799, 8170, 459, 1828, 2143, 3981, 4460, 5768, 6403, 8015, 113, 1703, 3130, 3356, 4279, 5305, 6506, 7516, 247, 1828, 2689, 3356, 4662, 5557, 6588, 8195, 407, 1938, 2474, 3936, 4205, 5443, 7068, 8104, 693, 1938, 2516, 3472, 4364, 5440, 6598, 7592, 641, 1732, 2381, 4137, 4813, 5835, 6240, 7333, 831, 1806, 2365, 3720, 4764, 5390, 7157, 7312, 610, 1635, 2383, 3785, 4359, 5657, 6923, 7822, 582, 1586, 2728, 3871, 4983, 5810, 7232, 7936, 831, 1388, 2918, 3967, 4804, 5899, 7043, 7490, 610, 1821, 2923, 3919, 4297, 6200, 7218, 7724, 104, 2059, 2797, 3838, 5159, 5677, 6976, 8179, 391, 1322, 2639, 3600, 4928, 5523, 6465, 7899, 104, 1463, 2747, 3884, 4559, 5681, 6269, 7917, 826, 1833, 2923, 3229, 5040, 5707, 6262, 7704, 104, 1660, 2506, 3556, 4929, 5810, 6708, 7827, 569, 1867, 2695, 3967, 5074, 5399, 6453, 8137, 113, 1873, 2695, 3239, 5164, 5341, 6784, 7966, 778, 1582, 2708, 3283, 4333, 5344, 6264, 7463, 641, 1463, 2727, 3283, 4995, 5656, 6899, 7578, 776, 1141, 2695, 4067, 4687, 5656, 6974, 7578, 779, 1963, 2144, 3994, 4276, 5641, 6903, 8188, 308, 1202, 2940, 3352, 4437, 6171, 6844, 7494, 833, 1752, 2542, 3916, 4691, 5250, 6486, 7936, 804, 1370, 2542, 3183, 4592, 5892, 6750, 7677, 868, 1943, 2720, 3866, 5145, 5954, 7244, 8103, 840, 1299, 2536, 3452, 5023, 5844, 6680, 7769, 299, 1531, 2751, 3843, 4702, 5391, 6978, 8069, 1062, 1239, 2868, 3210, 5142, 5843, 7081, 7997, 1099, 1407, 2944, 3692, 5115, 5641, 6755, 7384, 488, 1945, 3128, 4011, 4179, 5210, 7239, 7260, 818, 1998, 3135, 3440, 4551, 6085, 7058, 7806, 818, 1998, 3128, 4150, 5080, 6211, 7218, 7876, 914, 1705, 2677, 4071, 4980, 6195, 7239, 8223, 510, 1791, 3008, 4114, 4822, 5219, 7023, 7641, 1099, 1791, 3006, 3866, 4366, 5216, 7084, 8083, 120, 1496, 2717, 3182, 4596, 5594, 6949, 7488, 617, 1918, 2729, 4089, 4586, 5340, 7162, 7908, 1033, 1773, 2315, 3782, 4622, 5590, 6646, 8149, 986, 1563, 2661, 4096, 4901, 5512, 6442, 8073, 299, 1550, 2751, 3799, 4308, 5366, 6409, 7939, 104, 1550, 2288, 3395, 4948, 6002, 7094, 7250, 610, 1942, 2946, 3756, 5139, 6154, 7218, 7476, 831, 1397, 2515, 4103, 5115, 5589, 6238, 8111, 715, 1577, 2767, 3726, 4666, 5764, 6876, 7745, 756, 1876, 2826, 4089, 4189, 5935, 6365, 8179, 568, 2090, 3035, 3811, 4437, 6110, 6668, 8006, 568, 1885, 3141, 3653, 4344, 5638, 6238, 7577, 518, 1147, 2239, 3205, 4638, 5695, 6371, 7754, 225, 1452, 2621, 3815, 4877, 5730, 6878, 7698, 568, 1935, 2332, 3983, 4863, 5223, 6377, 8010, 757, 1684, 2542, 3292, 5079, 5292, 6767, 7960, 1037, 2127, 2656, 3737, 4954, 5968, 6998, 7707, 390, 1684, 3053, 3770, 4267, 5979, 6642, 8041, 1033, 1202, 2728, 3417, 5165, 5737, 6540, 7448, 825, 1118, 2282, 4031, 4437, 5787, 6600, 7905, 1040, 1397, 2990, 3623, 5144, 5874, 6606, 7311, 672, 1570, 2332, 3394, 4444, 5706, 6625, 8000, 1040, 1832, 2751, 3943, 4306, 5544, 6706, 7256, 988, 1541, 2282, 4079, 5188, 5757, 6550, 7707, 839, 1472, 2867, 3212, 4189, 6132, 7198, 8081, 902, 1832, 2156, 3936, 4335, 6201, 6812, 8083, 927, 1252, 2561, 4031, 4501, 6118, 6903, 7411, 1014, 1826, 2955, 3798, 4665, 5325, 7058, 7386, 228, 1963, 3053, 4089, 4715, 5677, 6787, 7702, 225, 1853, 2544, 3376, 4825, 6034, 6348, 7488, 568, 1120, 2359, 3623, 5165, 5962, 6668, 7939, 859, 1684, 3133, 3227, 4513, 5527, 7114, 7906, 956, 2097, 2833, 3188, 5135, 5968, 6988, 7574, 1097, 2111, 2925, 3516, 5079, 6081, 6677, 7260, 555, 2046, 3064, 3226, 4782, 6129, 6612, 8083, 105, 1695, 2792, 3904, 4374, 6182, 6612, 8236, 859, 2002, 2970, 3770, 5166, 6063, 7120, 7715, 617, 1695, 2781, 4092, 5159, 5981, 6584, 8262, 617, 2106, 2833, 4068, 4512, 5385, 7098, 8061, 617, 1468, 2833, 4153, 4622, 6137, 6313, 8185, 617, 1750, 2138, 3891, 4555, 5550, 7207, 8130, 617, 2106, 2858, 4068, 4555, 6101, 7232, 7716, 617, 1468, 3021, 4153, 4512, 6076, 6529, 7476, 617, 1750, 2833, 4092, 4512, 5548, 6988, 8262, 105, 1684, 3021, 3550, 4512, 5515, 6772, 7831, 105, 1684, 2340, 3391, 4555, 5548, 6717, 8076, 617, 1289, 2833, 3564, 4555, 5844, 6740, 8080, 105, 1684, 2340, 3391, 4555, 5385, 6810, 7804, 617, 1750, 2858, 3827, 4762, 5385, 6752, 8237, 617, 1684, 2775, 4166, 4387, 5241, 6840, 8080, 4, 2 ]

[ 1, 28, 44, 64, 26, 30, 78, 5, 20, 52, 5, 31, 45, 64, 5, 5, 5, 31, 33, 63, 5, 76, 11, 78, 5, 16, 5, 75, 14, 64, 66, 5, 51, 76, 11, 54, 66, 16, 66, 47, 5, 17, 75, 5, 64, 11, 52, 16, 30, 5, 42, 57, 52, 30, 5, 20, 63, 54, 16, 53, 16, 54, 66, 64, 3, 860, 2017, 3117, 3803, 4704, 5612, 6515, 8147, 308, 1981, 3064, 4114, 4966, 6103, 6979, 7485, 1033, 1562, 2709, 4085, 5139, 5694, 7162, 7959, 840, 2002, 2564, 3822, 4225, 5745, 6413, 8194, 535, 1806, 2787, 3159, 5001, 5656, 6478, 7435, 807, 1561, 2553, 3764, 4717, 5578, 7035, 8048, 920, 1561, 2128, 3943, 4604, 5425, 6313, 7952, 309, 1606, 2701, 4033, 5179, 5574, 7072, 7501, 699, 1403, 2683, 4132, 4981, 5276, 6452, 7538, 195, 1311, 2341, 3580, 5115, 5993, 6575, 8206, 518, 1853, 3064, 3915, 4351, 5689, 6256, 8179, 518, 1961, 3064, 4174, 4870, 6110, 6898, 7855, 518, 1961, 3131, 3623, 4849, 6076, 6333, 7717, 518, 2068, 2935, 3723, 4423, 5624, 6589, 8237, 568, 2111, 2754, 3245, 4592, 6120, 7079, 7547, 942, 1241, 2953, 4098, 4573, 5590, 7010, 7960, 249, 1496, 2247, 3474, 4443, 5526, 7188, 8188, 584, 1543, 3137, 3252, 4729, 5787, 7048, 7441, 632, 1199, 3088, 3624, 4776, 5358, 6986, 7810, 584, 2091, 2173, 4075, 4776, 5617, 6838, 7931, 1050, 1972, 2233, 3727, 4239, 6135, 6599, 8021, 584, 1723, 2299, 3356, 4593, 5919, 6403, 7341, 640, 1151, 3040, 4051, 4413, 5518, 6847, 7652, 966, 1509, 2961, 3401, 4927, 5624, 6389, 8091, 810, 2090, 2758, 3394, 4273, 5624, 7020, 8133, 930, 1605, 2585, 4127, 4344, 5859, 6706, 7442, 930, 2058, 2954, 4128, 4320, 5341, 6832, 8052, 1006, 1550, 2656, 3788, 5069, 5671, 7140, 7964, 582, 2034, 2578, 3443, 4993, 5870, 7165, 7429, 487, 1755, 2380, 3894, 4763, 5843, 7183, 7304, 767, 1286, 2321, 3662, 4343, 5865, 6466, 7918, 512, 1508, 2167, 3838, 5104, 5890, 6604, 7949, 654, 1820, 2960, 3517, 4447, 5515, 6287, 7727, 225, 2069, 2566, 3623, 4925, 5898, 6671, 8099, 115, 1749, 2461, 3575, 4882, 5834, 7219, 8045, 271, 1283, 2614, 4151, 4915, 6142, 6605, 7429, 728, 1865, 2629, 4066, 4929, 5384, 7085, 8254, 360, 1269, 2911, 4066, 5124, 5387, 6502, 7889, 1009, 1205, 3103, 3808, 4664, 5297, 6469, 7274, 864, 1205, 2367, 3239, 4208, 5382, 7200, 7545, 938, 1469, 2509, 3417, 4545, 5269, 7078, 8123, 271, 2050, 2705, 4137, 4848, 5991, 7146, 7912, 1029, 1469, 2152, 3221, 4511, 5656, 6692, 7703, 1067, 1469, 2631, 4137, 4298, 5823, 6423, 7813, 150, 1284, 3040, 3520, 4518, 6118, 7123, 7318, 386, 1469, 3014, 4043, 5151, 5867, 6883, 7802, 271, 2066, 2198, 3785, 4208, 5223, 6466, 8110, 504, 1469, 2887, 3925, 4872, 6118, 6883, 7904, 386, 1469, 3070, 3764, 4494, 6174, 6262, 8131, 271, 1469, 2439, 3785, 4915, 5574, 6224, 7458, 150, 1469, 2628, 3863, 4474, 5656, 7041, 7405, 610, 1179, 3126, 3557, 4688, 6107, 6901, 7748, 288, 1265, 2932, 3994, 4900, 5567, 6870, 8014, 684, 1620, 3001, 3912, 4781, 6160, 6694, 7641, 405, 1906, 3110, 4085, 4589, 6205, 7229, 7563, 959, 2046, 3007, 3540, 5159, 5219, 7218, 7807, 1062, 1299, 2369, 3741, 5164, 5289, 6663, 7683, 536, 1507, 2727, 4096, 4954, 5512, 6848, 7677, 840, 1283, 2495, 4074, 4804, 5308, 6692, 8269, 884, 1732, 2987, 3340, 4927, 6220, 6224, 7677, 725, 1434, 2610, 3543, 4752, 6213, 6478, 7429, 759, 1771, 3013, 3756, 4476, 5616, 6906, 7870, 981, 1402, 2692, 3973, 5115, 5608, 7198, 7966, 1047, 1356, 2629, 3309, 5058, 6203, 7220, 7955, 216, 1363, 2871, 4106, 5134, 5824, 7018, 8178, 401, 2127, 2659, 3886, 4611, 5719, 7246, 7764, 256, 1206, 2316, 3857, 4859, 6063, 6614, 7920, 225, 1945, 2669, 3754, 4604, 5765, 7197, 7420, 518, 1596, 2151, 3671, 5193, 5594, 7132, 8099, 518, 1424, 2542, 3376, 5151, 5514, 6504, 8083, 518, 2127, 2659, 3391, 5007, 5624, 6809, 7723, 228, 2106, 2669, 3891, 4601, 5624, 6333, 7920, 518, 1750, 3002, 3623, 5160, 5493, 7024, 7843, 518, 2061, 2775, 3178, 5151, 5840, 7207, 7509, 518, 1935, 2469, 3364, 4344, 5413, 6988, 7904, 518, 2118, 3064, 3350, 4611, 5624, 6895, 8066, 518, 1826, 2221, 3838, 4344, 5550, 7160, 7706, 256, 2127, 3040, 3838, 4344, 5514, 7129, 7706, 256, 1756, 2959, 4174, 4985, 6149, 7024, 7732, 256, 2111, 2880, 3376, 5160, 6175, 6988, 8261, 617, 1424, 2542, 3376, 5138, 5963, 7207, 8126, 555, 2111, 3021, 3470, 4985, 5205, 6612, 7664, 488, 2111, 2806, 3595, 4704, 5635, 7120, 8196, 488, 1622, 3065, 3825, 4704, 6139, 7207, 8196, 488, 2017, 3065, 3893, 4704, 6139, 7077, 8196, 488, 1528, 3065, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6081, 7124, 7766, 915, 1648, 2164, 3893, 4555, 5635, 7124, 7766, 555, 1467, 2960, 3226, 4555, 6211, 7124, 8267, 955, 1668, 2957, 3945, 4589, 5678, 6668, 7948, 1033, 1797, 2803, 4085, 5088, 5534, 7218, 8080, 1033, 1700, 2340, 3929, 4374, 5436, 6938, 7641, 786, 1803, 2207, 3372, 4478, 6041, 6373, 7590, 499, 1555, 2335, 3306, 4191, 6169, 7169, 7649, 988, 1437, 2436, 3824, 4205, 5212, 6632, 7804, 998, 1510, 2346, 3504, 4368, 5454, 6280, 8129, 998, 2059, 2436, 3504, 4800, 5665, 7187, 8228, 104, 1523, 2661, 3171, 4248, 6217, 6769, 8214, 104, 1877, 2782, 3218, 4292, 6117, 7163, 7963, 104, 1146, 2581, 4105, 5148, 5942, 6925, 7288, 1025, 1674, 2993, 3581, 4785, 5971, 6533, 8104, 150, 1623, 2456, 3667, 4350, 5403, 6663, 8150, 895, 1582, 2902, 3153, 5018, 5640, 6739, 7288, 936, 1740, 2940, 3937, 5109, 5800, 6870, 7594, 535, 1141, 2429, 3258, 4321, 6077, 7002, 7756, 902, 1509, 2751, 3991, 4308, 5765, 7181, 7888, 143, 1139, 2598, 3245, 4974, 5695, 6861, 7739, 518, 1171, 3018, 4047, 4530, 6085, 6715, 7402, 518, 1524, 3130, 3955, 4601, 6120, 6486, 7865, 518, 1460, 2554, 3487, 5019, 6110, 7152, 8170, 708, 1525, 2940, 3838, 5167, 5549, 6765, 7369, 113, 1455, 2429, 3859, 5129, 6120, 6895, 7437, 875, 1924, 2436, 3456, 4683, 5310, 6485, 7534, 635, 1108, 2486, 4008, 4565, 5810, 6371, 7990, 668, 1582, 2218, 3841, 5001, 5745, 6413, 7480, 404, 1199, 2515, 3750, 4508, 5512, 6409, 8177, 776, 1560, 2515, 3566, 4604, 6217, 6925, 8165, 804, 1441, 2391, 3866, 4994, 6003, 7162, 8195, 833, 1146, 2542, 3440, 5088, 5788, 7114, 7707, 1037, 2063, 2991, 3671, 4529, 5904, 6967, 7715, 899, 1803, 2783, 3914, 4983, 5573, 6776, 7256, 804, 1933, 2542, 3226, 4630, 6128, 6988, 7677, 756, 1597, 3053, 3330, 4797, 5810, 7232, 7582, 804, 1724, 3053, 3904, 5183, 5761, 7239, 7720, 756, 1597, 2582, 4128, 5080, 5482, 6308, 7748, 1037, 1560, 2936, 4151, 5159, 5573, 6810, 8236, 256, 1918, 2754, 3870, 4933, 6077, 6474, 8066, 715, 1560, 2729, 3918, 4459, 5840, 7165, 7557, 756, 1773, 2957, 3982, 4398, 5840, 7201, 7846, 715, 2063, 2473, 4145, 4555, 5515, 6646, 7904, 708, 2001, 3076, 3573, 5000, 5641, 7100, 7256, 440, 1724, 2675, 4145, 4519, 5874, 6627, 8132, 115, 1991, 2340, 3956, 4481, 5246, 7061, 7844, 1062, 1681, 3026, 3472, 4412, 5273, 6238, 7918, 492, 1681, 2282, 3692, 5171, 5566, 6480, 8094, 768, 1296, 2282, 3356, 4669, 6141, 6768, 8075, 835, 1435, 3085, 3727, 4525, 6174, 6969, 8131, 428, 2036, 2728, 3923, 4729, 6145, 6373, 7405, 840, 2101, 2626, 3227, 4389, 5957, 6711, 8149, 884, 1812, 2626, 3295, 4612, 5858, 6224, 8255, 249, 1826, 2577, 3332, 4370, 5205, 7125, 7930, 725, 1605, 2871, 3639, 4326, 5226, 6822, 7611, 504, 1305, 3091, 3413, 4758, 5334, 7057, 8193, 160, 2118, 2956, 3510, 4721, 6194, 6978, 7248, 448, 1754, 2459, 3356, 4646, 5385, 7198, 7879, 448, 1421, 2555, 3882, 4828, 5503, 6962, 7426, 405, 1946, 2913, 3789, 4337, 6205, 6891, 8016, 225, 1340, 2775, 4128, 4844, 5629, 6491, 7291, 225, 2060, 2775, 4111, 4236, 5923, 7069, 7303, 228, 1264, 2454, 3896, 4181, 5678, 6895, 8150, 228, 2127, 2946, 4125, 5135, 5962, 7160, 7919, 240, 1756, 2946, 3599, 4916, 5548, 6844, 8236, 789, 1876, 2221, 4103, 5142, 5241, 6338, 7477, 789, 1756, 3021, 3391, 4622, 6175, 6840, 7477, 789, 1876, 3062, 3391, 5159, 5296, 6996, 7716, 488, 1876, 2806, 3595, 4423, 6186, 6996, 7717, 818, 1622, 2164, 4174, 4624, 6081, 6589, 8223, 935, 1648, 2957, 3893, 5061, 5677, 6988, 8196, 100, 1585, 2398, 4073, 4782, 5536, 6396, 7376, 100, 2024, 3046, 3255, 4717, 5640, 6338, 7767, 579, 1179, 2925, 3592, 4558, 5893, 6792, 7383, 317, 1468, 2669, 3799, 4289, 6048, 6893, 7560, 304, 1623, 2820, 3470, 4374, 6146, 6846, 7421, 223, 1721, 2567, 3885, 5137, 5437, 7224, 8064, 150, 1408, 3020, 3907, 4513, 5798, 6472, 7630, 428, 1948, 2357, 3251, 4494, 6040, 7115, 7419, 492, 1708, 2849, 3527, 4497, 5454, 6782, 7667, 536, 1674, 2680, 4075, 4242, 6002, 6648, 7747, 840, 1955, 2142, 3619, 5121, 5512, 6723, 7904, 535, 1865, 2173, 3776, 4794, 5349, 6224, 7596, 884, 2009, 3138, 3771, 4196, 5585, 7093, 7793, 895, 2084, 2866, 4154, 5031, 5485, 6461, 7250, 887, 1462, 2905, 3171, 4364, 6104, 6373, 8170, 150, 1717, 2905, 3642, 4565, 5614, 6614, 7539, 650, 1930, 2241, 3233, 4433, 5873, 7181, 7776, 1057, 1966, 2652, 3967, 4604, 5344, 7086, 7681, 113, 1915, 2716, 3967, 5193, 5730, 6741, 7458, 1057, 1821, 2389, 3233, 4441, 5643, 7064, 7869, 1057, 1809, 2659, 3472, 4604, 5715, 6771, 8004, 1102, 1930, 3064, 3680, 5165, 5385, 7063, 7844, 103, 2107, 2455, 3754, 4604, 5981, 6270, 7549, 288, 1906, 2440, 3543, 4814, 5661, 7047, 8064, 308, 1876, 3110, 3994, 5165, 5210, 7084, 7811, 756, 2098, 2895, 3692, 4822, 5800, 6589, 8016, 405, 1320, 2980, 3987, 5079, 6117, 6905, 7753, 582, 1485, 2327, 3964, 5145, 5243, 6884, 7492, 487, 1306, 2751, 3201, 5097, 5733, 6924, 7815, 487, 1306, 2751, 3631, 4825, 6154, 6234, 8047, 443, 1550, 2751, 3968, 4636, 5936, 6870, 7539, 1040, 1806, 2751, 3560, 4288, 6062, 6746, 7966, 902, 1806, 2751, 3496, 4330, 5587, 7229, 8049, 137, 1808, 2436, 3603, 4288, 5831, 7141, 7627, 876, 1472, 2655, 3358, 5097, 6022, 7229, 8128, 992, 1453, 3029, 3635, 4298, 5930, 7175, 7436, 91, 1978, 2627, 3751, 5120, 6062, 6234, 8151, 510, 1675, 3007, 3918, 4671, 5968, 6515, 7311, 440, 2063, 2254, 3364, 4895, 5730, 7053, 7952, 789, 1525, 2582, 3819, 5098, 5830, 7129, 8161, 568, 1851, 2809, 3879, 4670, 5536, 7129, 7648, 568, 2060, 2788, 3932, 5049, 5643, 7218, 7675, 518, 2002, 2788, 3352, 4411, 5981, 7132, 7960, 225, 1597, 2250, 3348, 5083, 5485, 6958, 7717, 225, 1851, 3141, 3914, 4566, 5957, 7103, 7876, 228, 1876, 2542, 3413, 4877, 5519, 6996, 7716, 518, 1524, 2775, 3838, 4993, 5998, 7129, 7868, 127, 1176, 2852, 3171, 4622, 5797, 6757, 7831, 228, 1851, 3131, 3838, 4486, 5580, 7091, 8130, 654, 1826, 2473, 3827, 4622, 5241, 7091, 8262, 240, 2002, 3139, 3595, 4844, 6157, 6677, 7677, 183, 2061, 2473, 3874, 4870, 6149, 7118, 7473, 617, 2061, 2251, 3720, 4877, 5832, 7162, 7303, 223, 1490, 2293, 4145, 4720, 5498, 7230, 7946, 492, 1704, 3137, 3371, 4852, 5907, 7136, 7741, 363, 1199, 2521, 4079, 4707, 5288, 6637, 7973, 840, 2050, 2233, 3610, 4497, 5512, 7194, 8127, 428, 1630, 2173, 3847, 5177, 5408, 6907, 7513, 1067, 1334, 2842, 3791, 4722, 5315, 6426, 7739, 271, 1469, 2240, 3781, 4810, 5876, 6224, 8062, 271, 2050, 2956, 3203, 5151, 5756, 6656, 7865, 895, 1543, 2165, 3156, 5031, 5813, 6547, 7924, 150, 2008, 2224, 3391, 4900, 5813, 6476, 7360, 1029, 1469, 3066, 3395, 4420, 6052, 6580, 7980, 104, 1167, 2173, 3153, 4328, 6052, 7085, 8085, 299, 1440, 2173, 3709, 5176, 5668, 6703, 8157, 1101, 1630, 2455, 4101, 4928, 5223, 6952, 7740, 884, 1299, 2766, 3623, 4612, 5325, 6934, 7768, 918, 1496, 3047, 3623, 4805, 5505, 6485, 7675, 1101, 1393, 2871, 4072, 4459, 5588, 7115, 7383, 884, 1915, 2951, 3623, 4604, 5344, 6765, 8086, 575, 2079, 3003, 3356, 4784, 5752, 7229, 8262, 308, 1296, 2486, 3962, 4918, 5631, 6612, 7898, 211, 1826, 2738, 4170, 4918, 5612, 6755, 8080, 684, 2046, 2946, 3426, 4980, 6146, 7048, 7919, 390, 2079, 2238, 3680, 5129, 5963, 7207, 7256, 1056, 2125, 3095, 3645, 5166, 5661, 7084, 8076, 684, 1791, 2838, 3918, 4822, 6103, 7010, 7421, 390, 2063, 3135, 3886, 4551, 6063, 7077, 7723, 308, 1218, 2838, 3983, 5166, 5883, 6979, 8185, 779, 1963, 3128, 3671, 4551, 6123, 7218, 7887, 707, 1931, 2720, 3430, 4344, 5840, 6599, 7445, 1025, 1467, 2389, 4103, 4219, 5346, 6340, 7557, 443, 1655, 2677, 3427, 4664, 5940, 6405, 7367, 876, 2050, 2743, 3410, 4492, 5898, 6674, 7777, 1008, 1205, 2642, 3351, 5019, 5828, 7221, 8005, 344, 1469, 2464, 3537, 4618, 5596, 6426, 8234, 1025, 1542, 2839, 4133, 4542, 5717, 7142, 7405, 1025, 1469, 3032, 3192, 4321, 5710, 6640, 7817, 1025, 1469, 3032, 3404, 4969, 5325, 7063, 7990, 271, 1469, 2312, 3788, 4759, 5584, 6409, 7813, 271, 1469, 2312, 3252, 4618, 5325, 6359, 7437, 271, 1469, 2312, 3252, 4969, 6144, 6680, 7704, 271, 1469, 2312, 3252, 4969, 6144, 6680, 7875, 271, 1469, 2728, 3192, 4924, 6125, 7035, 7962, 104, 1469, 2766, 4138, 4924, 6107, 6997, 7959, 104, 1185, 2381, 3808, 4501, 5527, 6461, 7536, 104, 1345, 2381, 3868, 4470, 5810, 6706, 7955, 1090, 2084, 2536, 3351, 5196, 5364, 6393, 8105, 1090, 1685, 2144, 3263, 4334, 6031, 6774, 7584, 610, 1958, 2846, 4124, 4589, 5802, 6991, 7644, 826, 1740, 2688, 3669, 4321, 5576, 7051, 7902, 1008, 2053, 2667, 3878, 4617, 5970, 7169, 7439, 961, 1369, 2944, 3975, 4672, 5878, 6940, 7758, 641, 1674, 2374, 3909, 4792, 5905, 6426, 7679, 895, 1674, 2888, 3243, 4760, 5789, 6524, 7457, 1067, 1674, 3034, 3685, 4441, 5325, 6382, 7286, 778, 1800, 2822, 3649, 5030, 5985, 6504, 7817, 104, 1669, 2506, 4024, 4891, 5254, 7059, 7989, 826, 1805, 2660, 3539, 4661, 5591, 6957, 7724, 880, 1931, 2173, 3256, 5194, 5464, 6697, 7831, 569, 1185, 3145, 3632, 4483, 5757, 6635, 7462, 335, 1402, 2897, 4167, 4506, 5932, 6784, 8040, 408, 2024, 2429, 3502, 5084, 6084, 6476, 7937, 391, 1557, 2187, 3929, 4483, 6002, 6337, 7971, 104, 1918, 2375, 3643, 5090, 6002, 6579, 8058, 535, 1141, 3029, 4091, 4485, 6055, 6480, 7842, 880, 1828, 2850, 3295, 5020, 5260, 7181, 7376, 424, 1931, 2330, 3904, 4592, 6123, 6467, 7966, 391, 1561, 2389, 3233, 4212, 5457, 6614, 7808, 850, 1932, 2142, 3232, 4586, 5438, 6391, 7570, 778, 1876, 2709, 3776, 4561, 6213, 6605, 7962, 880, 1865, 2629, 3177, 5018, 5341, 6237, 8079, 862, 1826, 2850, 3613, 5006, 5251, 6411, 7987, 639, 1139, 3074, 3895, 4333, 5464, 6573, 8151, 1003, 2095, 2188, 4079, 4833, 5478, 7232, 8079, 610, 1834, 3020, 3484, 4364, 5793, 6478, 8198, 731, 1350, 2661, 3892, 4536, 5599, 7114, 7598, 980, 1299, 2365, 3642, 5125, 5953, 7058, 7774, 940, 2012, 2258, 3695, 5127, 6074, 6768, 7574, 127, 1971, 2250, 3562, 5139, 5795, 6770, 7563, 195, 1707, 3091, 3770, 5052, 6204, 6748, 8040, 127, 1826, 2221, 3819, 5089, 5981, 6677, 8163, 654, 1826, 2355, 3873, 4576, 5942, 6844, 8203, 654, 1826, 2839, 3723, 4983, 5514, 6724, 7677, 518, 2127, 3040, 3838, 5007, 5219, 6988, 8267, 518, 1645, 3040, 4006, 4844, 5844, 6752, 7557, 256, 1345, 2959, 3623, 5168, 6110, 6478, 8143, 419, 1304, 2725, 3891, 4836, 6157, 7232, 7557, 555, 2111, 3064, 3595, 4859, 5677, 6889, 7557, 488, 1528, 3117, 3595, 4870, 5515, 7077, 8061, 915, 1961, 2806, 3914, 5159, 6182, 6612, 7715, 915, 1622, 2164, 3595, 4877, 5241, 7232, 7557, 105, 1750, 2669, 4006, 4512, 5767, 6604, 7677, 105, 2106, 3147, 3550, 4536, 6137, 6688, 7831, 915, 1752, 2806, 3825, 4704, 5241, 7152, 8147, 1002, 2032, 2729, 3803, 4704, 5963, 7019, 8147, 945, 1528, 3065, 3825, 4624, 5241, 6794, 7766, 142, 2017, 2914, 3825, 4798, 6081, 6794, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7226, 7766, 142, 1622, 2914, 3893, 4798, 6186, 6794, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1622, 2164, 3825, 4798, 6186, 7226, 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, 64, 66, 14, 54, 30, 5, 76, 33, 63, 5, 77, 73, 5, 11, 63, 5, 5, 5, 52, 48, 5, 76, 20, 55, 5, 64, 54, 14, 62, 66, 5, 5, 3, 654, 1935, 2669, 3681, 4486, 5704, 7160, 7716, 240, 1556, 2792, 3595, 4860, 5580, 6688, 7570, 789, 2127, 2424, 3595, 4888, 5963, 6607, 7717, 915, 1961, 2729, 4174, 4704, 5514, 6988, 8147, 915, 2017, 2806, 3825, 4555, 5677, 6996, 7715, 915, 1622, 2914, 4174, 4798, 5677, 7124, 7715, 475, 1304, 2709, 4174, 4387, 5963, 7077, 7876, 901, 1623, 2991, 4078, 5053, 5332, 7103, 7476, 582, 1794, 2146, 3957, 4955, 6048, 6919, 7750, 416, 1640, 2951, 3775, 4629, 6050, 7136, 7678, 96, 1323, 2605, 3518, 4535, 6080, 6447, 8050, 835, 1971, 2329, 4162, 4818, 5560, 7200, 7796, 1031, 1631, 2355, 3496, 4485, 5631, 6705, 7391, 810, 1349, 3079, 3348, 4800, 5824, 7243, 8263, 179, 1971, 2873, 3495, 4535, 5256, 7181, 8018, 1070, 1450, 2950, 3757, 4413, 6117, 6573, 7736, 452, 1450, 2198, 3874, 4413, 5400, 7097, 7401, 452, 1387, 2625, 3874, 4911, 5531, 6901, 7492, 930, 1471, 2827, 3795, 4832, 5792, 6576, 8190, 662, 1639, 2300, 3703, 4285, 5699, 6749, 7975, 1084, 1938, 2441, 3795, 5074, 6168, 6732, 7907, 391, 1496, 3056, 4153, 4816, 5717, 7004, 7800, 850, 1538, 2729, 4061, 4651, 5704, 7207, 7529, 424, 1410, 2871, 3771, 4372, 5641, 7033, 7393, 391, 1518, 2429, 3530, 4372, 5890, 6393, 8037, 1003, 1271, 2429, 4004, 4966, 5641, 7199, 7410, 778, 1141, 3036, 4004, 5073, 5616, 6915, 7678, 663, 1507, 2737, 3937, 4801, 6204, 6810, 7557, 1047, 1145, 3064, 3292, 4383, 5910, 7181, 8130, 371, 2046, 2210, 3760, 5164, 5717, 6361, 8252, 235, 1434, 3056, 3325, 4374, 6129, 6478, 7371, 961, 2028, 3049, 4081, 4895, 5235, 7119, 8178, 235, 1962, 2869, 3498, 5044, 5689, 6558, 7672, 371, 1410, 2137, 3960, 5090, 6064, 6849, 7853, 736, 1490, 2137, 3874, 5191, 5712, 7215, 7669, 1060, 1470, 2453, 3793, 4320, 6181, 6706, 8037, 888, 1627, 2587, 3268, 4413, 5367, 6802, 7744, 458, 1570, 2646, 3651, 5148, 5978, 6690, 8188, 1074, 1286, 2565, 3437, 4275, 6154, 6464, 7665, 397, 1512, 2503, 3274, 4807, 5716, 6724, 7965, 757, 1906, 2432, 3911, 4383, 5546, 6684, 7394, 722, 1550, 2646, 3586, 4635, 6097, 7202, 7707, 722, 1858, 2883, 3513, 4335, 5926, 7197, 7547, 722, 1550, 2940, 3192, 4816, 5407, 7065, 7474, 582, 1252, 2530, 3709, 4800, 5802, 7114, 8080, 639, 1442, 3091, 3363, 4399, 6132, 7089, 8248, 1065, 1498, 2808, 3796, 4839, 6135, 7041, 8036, 1006, 1299, 2897, 3770, 4215, 5683, 7111, 7785, 262, 1299, 2867, 3524, 4896, 5595, 7085, 8112, 335, 1926, 2552, 3245, 5073, 5646, 6812, 7839, 335, 1213, 2347, 3376, 4525, 6147, 6438, 7768, 335, 2061, 3056, 3432, 4803, 5693, 7140, 7807, 831, 1665, 2554, 4117, 4471, 6176, 6515, 7437, 831, 1516, 2754, 3251, 4631, 5850, 6810, 7260, 1001, 1331, 3121, 3507, 5079, 5565, 6998, 8179, 876, 1251, 2490, 3475, 5011, 5866, 6501, 8188, 846, 1641, 2137, 3466, 4722, 5315, 6611, 7466, 1019, 1902, 2658, 3251, 5123, 5923, 6802, 7423, 763, 1617, 2840, 3251, 4644, 5470, 6767, 7770, 192, 1305, 2394, 3727, 4833, 6124, 7030, 7669, 472, 1326, 2503, 4100, 5115, 5577, 7094, 7757, 296, 2101, 2234, 3426, 5124, 5940, 6438, 7378, 428, 1894, 2595, 3371, 4274, 5461, 6257, 7333, 558, 1907, 2274, 4012, 4438, 5508, 6927, 7628, 302, 1440, 2353, 3468, 5005, 5961, 6910, 7983, 302, 1855, 3088, 3801, 5005, 6104, 6426, 7725, 737, 1325, 2296, 3946, 4735, 5454, 6438, 7904, 966, 1398, 2933, 4128, 5158, 6039, 6693, 8248, 508, 1812, 3138, 3924, 4196, 5572, 6997, 8112, 508, 2049, 3040, 3295, 4239, 5632, 6683, 8025, 508, 1393, 2965, 3394, 4799, 6097, 6711, 8043, 508, 1609, 2213, 3885, 4567, 5898, 7083, 7503, 508, 1609, 2198, 3189, 4800, 6204, 6252, 7487, 738, 1490, 2827, 4009, 4661, 5822, 6453, 7693, 91, 1226, 2355, 3469, 5044, 6206, 6308, 8197, 355, 1316, 2737, 3973, 5090, 5254, 7053, 7868, 770, 2088, 2586, 3751, 4281, 5356, 6538, 7753, 91, 1665, 2532, 3751, 4421, 6114, 7074, 8121, 482, 1904, 2987, 3747, 4824, 5810, 6453, 8132, 473, 1526, 2987, 3680, 4891, 5546, 6860, 8044, 171, 1904, 2987, 4135, 5041, 5630, 7132, 7591, 450, 1316, 2868, 3510, 5088, 5548, 6979, 7764, 1099, 1623, 3008, 3680, 4447, 5684, 7111, 7831, 484, 1623, 2985, 3891, 4828, 5630, 6750, 8083, 484, 2032, 2987, 3815, 4918, 5890, 6589, 7591, 186, 1623, 2781, 3680, 4713, 5241, 6688, 7290, 488, 1623, 2781, 3825, 5060, 5219, 6630, 8147, 860, 1528, 2914, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4624, 6186, 7077, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 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, 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, 488, 1622, 2957, 3893, 4980, 6211, 7124, 8237, 831, 1717, 2998, 4006, 5183, 5219, 6979, 8237, 1033, 1691, 3003, 3932, 5022, 5727, 6734, 7438, 752, 1139, 2691, 3395, 5022, 5584, 6870, 7564, 113, 1490, 2716, 3524, 4278, 5656, 7246, 7821, 247, 1826, 3101, 4153, 4882, 5656, 6347, 8064, 920, 1397, 2990, 3788, 4298, 5873, 6730, 7555, 896, 1397, 2314, 3792, 4785, 5976, 7114, 7954, 487, 1397, 2495, 3464, 4785, 5863, 6623, 8140, 986, 1692, 3091, 3307, 4364, 6159, 7102, 7835, 150, 1550, 3020, 4096, 4364, 5651, 7079, 8066, 887, 1561, 2156, 3613, 4952, 5620, 6846, 7336, 1090, 1635, 3091, 3212, 4813, 5481, 6895, 7386, 1025, 1986, 2207, 4094, 4633, 5340, 7044, 7716, 424, 1499, 2336, 4171, 4543, 6014, 6935, 7936, 1090, 2020, 2796, 3654, 4797, 6063, 6669, 7458, 678, 2046, 2947, 3928, 4374, 5515, 6646, 7367, 678, 2003, 2554, 3866, 4753, 5694, 6702, 8237, 1090, 1275, 3008, 3218, 4387, 5573, 6615, 7290, 826, 1179, 2923, 3992, 5066, 6195, 6694, 7476, 1063, 1838, 3047, 3619, 5054, 5572, 6263, 7405, 271, 1838, 3121, 3794, 4500, 5572, 6561, 7718, 1063, 1489, 2198, 3251, 5014, 6002, 7190, 7792, 371, 2036, 2282, 3408, 4626, 5353, 6550, 8005, 776, 1751, 2282, 3319, 4543, 5833, 6453, 7615, 482, 1455, 2274, 3840, 4929, 6214, 6586, 7458, 271, 1348, 2369, 3394, 5018, 5815, 6894, 8140, 938, 1838, 3132, 3460, 4213, 6004, 6723, 8052, 776, 1175, 2975, 4162, 4766, 5359, 6408, 7986, 610, 1407, 2258, 4145, 4475, 5905, 6901, 7886, 1081, 1581, 2737, 3314, 4964, 5210, 6376, 8172, 887, 1682, 2750, 3707, 4780, 5783, 7149, 7311, 1090, 1118, 2519, 3811, 5088, 5350, 6393, 8034, 104, 1858, 2610, 3568, 5073, 5784, 7115, 7992, 678, 2033, 2492, 3410, 4470, 6070, 7149, 7555, 1081, 1255, 2944, 3271, 4308, 5350, 6642, 7706, 940, 1269, 2553, 3832, 4318, 5981, 7168, 8070, 1090, 1773, 2803, 4145, 5159, 6051, 6852, 8085, 403, 1736, 3005, 3749, 4792, 5478, 6998, 7873, 256, 2002, 2271, 3857, 5124, 5730, 6765, 8107, 195, 2002, 2833, 3798, 5159, 5413, 6883, 7496, 195, 1971, 2566, 3394, 5048, 5643, 7065, 7524, 195, 2058, 2775, 4138, 4560, 5643, 6430, 7563, 654, 1695, 2792, 4103, 5151, 6110, 6757, 7397, 195, 1424, 2316, 3662, 4622, 5493, 7132, 7994, 901, 1791, 2886, 3332, 5080, 5825, 6607, 8093, 240, 1620, 2741, 3933, 4983, 6149, 6892, 7677, 915, 1623, 3006, 3933, 5166, 5296, 6612, 7960, 308, 2097, 2924, 3933, 5088, 6195, 6612, 7822, 752, 1363, 2924, 3268, 5169, 5223, 7058, 8123, 993, 1255, 2436, 4027, 4617, 5742, 7019, 7423, 826, 1510, 2693, 4172, 5010, 5944, 7222, 7297, 887, 2048, 2429, 4082, 5084, 5716, 6918, 7737, 809, 1323, 2260, 3448, 5031, 5537, 6567, 7927, 910, 1639, 2137, 3741, 4650, 5791, 7166, 8161, 873, 2118, 2533, 3366, 4294, 5773, 6382, 7896, 620, 1349, 2972, 3332, 4364, 6180, 6373, 7361, 575, 1756, 2453, 3741, 4457, 5572, 6706, 7344, 913, 2118, 2532, 3307, 4716, 5572, 6315, 8016, 403, 1520, 2464, 3493, 4282, 5603, 6272, 7750, 403, 1858, 2871, 4037, 4334, 5557, 6348, 7958, 935, 1534, 2754, 4145, 4867, 6014, 7084, 7664, 201, 2032, 2806, 4071, 4630, 5901, 7217, 8107, 186, 2017, 2781, 3803, 4870, 5635, 6709, 8260, 488, 1528, 2781, 3803, 4583, 5901, 7201, 7723, 186, 2017, 3065, 3803, 5038, 6182, 7239, 8237, 186, 2017, 2914, 3825, 4888, 5901, 6794, 7723, 186, 2017, 2164, 3893, 4624, 6186, 7077, 7723, 186, 1622, 2164, 4018, 4888, 6211, 7124, 8179, 757, 1601, 2858, 3994, 4287, 5908, 7120, 7677, 757, 1597, 2210, 3819, 4678, 5844, 6430, 7876, 105, 1434, 2656, 4166, 4297, 5630, 6382, 7817, 555, 1684, 3064, 3914, 4870, 6175, 7100, 8147, 488, 1622, 3117, 3367, 4870, 5534, 7077, 7715, 488, 2017, 2806, 3825, 4624, 5892, 7077, 8223, 488, 2017, 2806, 3825, 4624, 6139, 7226, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 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, 2017, 3065, 3825, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3367, 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, 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, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 42, 63, 39, 66, 5, 76, 48, 51, 54, 16, 64, 5, 17, 75, 5, 31, 16, 5, 50, 60, 54, 66, 64, 5, 5, 3, 1056, 1676, 2439, 3917, 4337, 5705, 6566, 7631, 308, 1146, 2783, 3955, 5115, 5684, 6677, 7782, 873, 1529, 2710, 4146, 4803, 5498, 6804, 7951, 1071, 1577, 2436, 3681, 4545, 5836, 6851, 7819, 614, 1510, 2677, 3478, 4537, 6146, 7087, 8109, 802, 1125, 2312, 3870, 4918, 6062, 6350, 7264, 895, 1118, 3003, 3491, 4796, 6020, 6438, 8135, 895, 1545, 2432, 3957, 4592, 5522, 6995, 7940, 936, 1724, 2905, 3273, 4351, 6007, 6461, 7296, 363, 1510, 2484, 3913, 4415, 5261, 6461, 7944, 896, 1695, 2987, 3623, 4457, 6104, 6881, 8095, 545, 1472, 2762, 3566, 5030, 5757, 6875, 8120, 986, 1563, 2830, 4091, 4804, 5492, 7063, 7738, 545, 2024, 3074, 3623, 4443, 5396, 6976, 7987, 955, 1674, 2515, 3485, 4972, 6034, 6715, 7442, 779, 1269, 2941, 3777, 4435, 5794, 6762, 7664, 216, 1633, 2915, 3770, 4603, 6149, 6614, 7445, 779, 1388, 2365, 3188, 5060, 5493, 7043, 8254, 804, 1974, 2886, 4055, 4622, 5794, 6749, 7303, 818, 1845, 2167, 3838, 5183, 5767, 6677, 7806, 935, 1508, 2833, 4145, 5080, 6129, 7120, 7720, 272, 1736, 2498, 3681, 4777, 5514, 6880, 8016, 171, 2106, 3026, 3518, 4918, 5550, 6612, 8266, 132, 2088, 2975, 3918, 4583, 5963, 7160, 7500, 337, 1218, 2806, 3176, 5104, 6007, 7111, 7876, 1097, 2041, 2936, 4068, 5060, 6205, 7230, 7949, 211, 1932, 2352, 3982, 4870, 5661, 6786, 7723, 390, 1660, 2925, 3982, 4822, 6205, 6988, 8260, 1071, 1672, 2798, 3488, 4856, 5380, 6589, 8016, 299, 2125, 2847, 3991, 4715, 5610, 7140, 7919, 299, 1531, 2559, 3174, 4621, 6002, 7024, 8128, 462, 1286, 2292, 3973, 4288, 5737, 6799, 7350, 487, 1692, 2661, 3329, 4381, 5956, 6422, 7435, 397, 1717, 2595, 3254, 4989, 5234, 7154, 7873, 684, 1269, 2422, 3420, 4675, 6085, 6888, 7652, 684, 1998, 2661, 3990, 5168, 5865, 6507, 7918, 555, 1248, 2709, 3391, 5058, 5715, 6291, 8040, 1099, 2000, 2970, 3516, 5088, 5832, 7168, 8080, 1097, 2000, 2806, 4145, 4890, 6139, 6972, 7949, 818, 1869, 3117, 3516, 5058, 5883, 7207, 8260, 1051, 2063, 2946, 3886, 4287, 5836, 7230, 8083, 878, 1991, 2365, 3488, 4807, 5456, 6740, 7638, 356, 1948, 2669, 3662, 5164, 5968, 6967, 7865, 779, 1280, 2669, 4145, 5115, 5630, 6752, 7887, 767, 1869, 2332, 3941, 4651, 5801, 6671, 8107, 1011, 2102, 2836, 3963, 4289, 5436, 7039, 7957, 1009, 1286, 3005, 3262, 4556, 5768, 6491, 7649, 504, 1691, 3032, 3316, 4705, 6130, 6973, 7881, 448, 1421, 2156, 3205, 4323, 5787, 7141, 8236, 518, 1460, 2288, 3900, 4412, 5493, 6895, 7311, 518, 1326, 3032, 3550, 4258, 5664, 6607, 7528, 195, 1424, 2349, 3995, 5135, 5472, 7160, 7492, 518, 1961, 2349, 3687, 4888, 5767, 7232, 7303, 518, 1961, 2839, 4093, 5153, 5438, 7059, 7574, 518, 1961, 2991, 4111, 4201, 5400, 6889, 7799, 568, 2097, 2659, 4145, 5160, 6048, 6998, 7614, 288, 1349, 3043, 3582, 4470, 5429, 6430, 7756, 676, 1346, 2863, 3349, 4457, 5693, 6987, 7882, 668, 2085, 3137, 3619, 4352, 5859, 7158, 7473, 840, 1972, 2869, 3946, 4910, 5948, 6289, 7393, 940, 1897, 2474, 3752, 4626, 5865, 6644, 7812, 304, 1721, 2352, 3516, 5159, 6170, 6630, 8245, 684, 1998, 2783, 3886, 5125, 6014, 6786, 8085, 684, 1804, 2473, 3983, 4925, 5534, 7201, 8260, 211, 2060, 3128, 3364, 5127, 5386, 7019, 8066, 776, 1452, 2340, 4043, 4225, 5413, 6224, 7811, 613, 2060, 2365, 3321, 4385, 5810, 6528, 8238, 845, 1797, 2871, 3732, 4412, 6152, 6614, 7953, 1036, 1241, 2788, 4128, 4186, 5581, 7148, 7889, 1098, 1826, 2865, 3298, 4953, 6181, 6521, 7618, 103, 1403, 2321, 3994, 4985, 5548, 7012, 8096, 308, 1773, 2944, 3905, 5145, 5978, 6515, 7557, 1099, 2000, 2838, 4018, 4822, 6129, 7129, 7936, 684, 1992, 2880, 3891, 4555, 5678, 6752, 7949, 334, 1108, 3090, 3749, 4996, 5730, 6461, 7445, 225, 1112, 2942, 4168, 4267, 5890, 6589, 7613, 568, 1633, 2717, 3550, 4225, 5981, 7084, 8030, 757, 1652, 3147, 3352, 4437, 5678, 6671, 7473, 304, 1918, 2136, 3955, 4522, 5863, 7152, 8076, 1033, 2051, 2958, 3983, 4784, 5643, 7091, 7718, 266, 1586, 2528, 3316, 4672, 5819, 7003, 7905, 363, 1758, 2783, 3276, 4539, 5780, 6839, 8095, 150, 1189, 2440, 3472, 4222, 5315, 6723, 7510, 150, 1239, 2540, 3472, 4938, 6167, 6237, 7944, 1038, 1581, 2661, 3793, 4514, 5729, 6818, 8244, 895, 1110, 2515, 3570, 4196, 5398, 6792, 7966, 1067, 1669, 2265, 4073, 4293, 5745, 6405, 7999, 404, 1454, 2515, 4073, 5018, 5512, 6557, 7583, 113, 1309, 2615, 4073, 5124, 5401, 6614, 8169, 293, 1609, 2564, 4025, 4644, 5950, 6788, 8264, 692, 1751, 2564, 3631, 4945, 5492, 7050, 7646, 692, 1586, 2751, 4015, 4835, 5482, 6270, 7384, 692, 1586, 2383, 4073, 4339, 5290, 7075, 7442, 692, 1593, 2601, 3261, 4931, 5814, 6525, 8023, 495, 1446, 2132, 3741, 5098, 5934, 6899, 7992, 1090, 1177, 2801, 3790, 4225, 5341, 6759, 7660, 610, 1397, 2895, 3970, 5018, 6222, 6903, 7927, 104, 1717, 3104, 3963, 4622, 6073, 7207, 8099, 1025, 1797, 2946, 3671, 4665, 6220, 6734, 7515, 390, 1881, 2801, 3361, 4872, 6085, 7207, 7908, 256, 1146, 2980, 3838, 4536, 5641, 6762, 8083, 654, 1806, 3076, 3793, 4621, 5630, 7243, 7303, 654, 2000, 3147, 3646, 5038, 5586, 6895, 8061, 654, 2030, 2869, 3955, 4598, 5801, 7035, 7452, 654, 1684, 2904, 3891, 5031, 5873, 6810, 7816, 225, 1719, 3000, 4166, 5038, 6110, 6604, 7887, 654, 2118, 2250, 3470, 4344, 6110, 7090, 7473, 228, 1606, 2669, 3376, 4638, 5504, 6677, 7605, 228, 1684, 2282, 3332, 4486, 6110, 6724, 7716, 228, 1286, 2904, 3777, 4459, 5677, 6296, 7291, 256, 2127, 3131, 3803, 4412, 5677, 6810, 7732, 419, 1684, 2944, 4006, 5135, 5413, 7090, 7563, 915, 1684, 3133, 3914, 5079, 5514, 6809, 8126, 488, 1756, 2806, 3277, 4681, 5219, 7207, 8147, 488, 1528, 3117, 3367, 4798, 5677, 7077, 7715, 488, 1528, 3117, 3595, 4798, 6186, 7124, 8196, 488, 1528, 3117, 3367, 4798, 6186, 7124, 8196, 488, 1528, 2914, 3893, 4798, 6081, 6752, 8196, 915, 2017, 2970, 3827, 4583, 6139, 7090, 8076, 555, 1750, 2839, 3932, 5038, 5550, 6752, 7485, 859, 1289, 2469, 3838, 4512, 5246, 6589, 7485, 859, 1750, 2554, 3374, 4267, 5981, 7100, 8267, 859, 2127, 3147, 4068, 4890, 5493, 7152, 7643, 105, 1695, 2792, 3873, 4512, 5534, 6604, 7907, 4, 2 ]

[ 1, 54, 73, 5, 31, 39, 5, 51, 69, 30, 5, 54, 11, 66, 5, 5, 3, 488, 2017, 2781, 3803, 4704, 6081, 6709, 8147, 308, 1302, 2803, 4152, 4633, 5694, 7111, 7948, 685, 1773, 2291, 3369, 4353, 5965, 6677, 7492, 685, 1692, 2349, 3241, 4707, 5539, 7004, 8022, 271, 1717, 2905, 4091, 4834, 5438, 6283, 7815, 318, 1543, 2905, 4073, 4690, 5714, 6476, 7607, 1033, 1167, 3014, 4073, 5115, 6204, 6478, 7943, 271, 1129, 3088, 4073, 4800, 5700, 6730, 8159, 545, 2007, 2250, 3416, 4911, 5454, 6565, 7442, 828, 1692, 2929, 3300, 4931, 5782, 6802, 7740, 487, 1219, 2369, 3248, 4576, 5443, 6691, 7774, 986, 1563, 2142, 3679, 4578, 5458, 6680, 7740, 884, 1164, 2440, 4064, 5114, 6116, 6592, 8010, 386, 1561, 2222, 4094, 4985, 5898, 6498, 7724, 887, 1171, 2210, 4143, 4651, 5574, 6603, 8078, 373, 2059, 3039, 3205, 5129, 5514, 7002, 8035, 424, 1141, 3039, 3584, 4588, 5930, 7228, 7570, 1024, 1407, 2429, 3870, 4207, 5640, 7007, 7558, 643, 1838, 2669, 3671, 4912, 6041, 6516, 8093, 610, 1919, 2515, 3153, 4207, 6128, 6668, 8197, 678, 1777, 2944, 3929, 4379, 5761, 7162, 7881, 288, 1847, 2944, 3909, 4630, 5901, 7049, 7948, 940, 1587, 2944, 4098, 5068, 5247, 7120, 7485, 1056, 1280, 2924, 3681, 4895, 5678, 6996, 8076, 288, 1931, 2998, 3388, 4551, 6063, 6967, 8076, 1056, 1939, 2803, 4085, 4592, 5883, 6979, 7458, 390, 1485, 3095, 3945, 4822, 6146, 7047, 8209, 571, 1992, 2352, 4171, 5003, 5883, 6776, 7706, 663, 1972, 3112, 4006, 5125, 5678, 7129, 7846, 424, 1545, 3092, 3370, 4374, 5419, 7232, 7928, 776, 1655, 2263, 3870, 4790, 6135, 6715, 8046, 831, 1596, 2820, 3413, 4419, 6055, 7147, 7508, 804, 2125, 3135, 4068, 5104, 5534, 6979, 7557, 308, 1851, 2895, 4166, 4398, 5219, 6607, 7421, 820, 2084, 2780, 3678, 5169, 5906, 6225, 7764, 702, 1826, 2945, 3337, 5145, 5396, 6901, 7303, 1019, 1388, 2953, 3704, 4541, 5742, 6708, 7962, 664, 1808, 2487, 3884, 4927, 5512, 6535, 7997, 807, 1942, 3145, 3566, 5142, 6019, 6929, 7864, 487, 2008, 2346, 3792, 4268, 5788, 6875, 7445, 986, 1397, 2515, 4155, 5040, 6101, 6733, 8079, 390, 1858, 2138, 3355, 4555, 5325, 6350, 7365, 510, 2046, 3147, 3337, 5165, 6205, 6717, 7677, 984, 1871, 2939, 3692, 5107, 5935, 7218, 7311, 403, 1736, 2946, 3819, 5170, 5844, 6397, 8187, 171, 1596, 2792, 3595, 5106, 5436, 6642, 7537, 283, 2024, 3048, 3214, 4996, 5989, 6516, 8024, 878, 1477, 2834, 4004, 4789, 6131, 6808, 8263, 579, 2073, 2503, 3836, 4508, 5654, 6472, 8030, 223, 1141, 2533, 3369, 4738, 5215, 6551, 7908, 318, 1407, 2890, 3394, 5100, 5946, 7206, 7477, 540, 1440, 2456, 3393, 5188, 5523, 6287, 7519, 702, 1999, 2137, 3960, 4952, 5357, 6731, 7539, 1019, 2050, 2693, 3392, 4842, 6010, 6888, 7515, 344, 1828, 2149, 3225, 5126, 5208, 6352, 7313, 569, 1828, 2629, 3741, 4590, 5769, 7072, 8100, 955, 1171, 2771, 3820, 5151, 6117, 7001, 7960, 779, 1198, 2970, 3869, 4816, 5568, 7220, 8236, 914, 1668, 3098, 3540, 4872, 6051, 7098, 7887, 779, 1939, 2709, 3937, 5145, 5565, 7132, 8034, 1056, 1485, 2429, 3183, 4318, 6000, 7033, 7959, 211, 1791, 2582, 4145, 5115, 5534, 6972, 8076, 650, 1932, 2381, 4151, 4387, 6017, 7207, 8245, 160, 1914, 2678, 3807, 5050, 6114, 7205, 7876, 160, 1708, 3146, 3793, 4802, 5838, 6820, 7971, 160, 2009, 2944, 4087, 4435, 5573, 7081, 7791, 160, 2009, 2750, 3206, 4426, 5550, 7081, 7965, 160, 1630, 2636, 3493, 4595, 5425, 6515, 7393, 1101, 2009, 2183, 3233, 4672, 5424, 6458, 8149, 399, 1261, 2561, 3568, 4672, 5792, 6917, 8137, 508, 1489, 2593, 3177, 4847, 6002, 7131, 7378, 1011, 1348, 2389, 4005, 4800, 5454, 7141, 8064, 100, 2024, 2163, 3807, 4462, 5624, 6360, 7669, 473, 2061, 2291, 3170, 5042, 5447, 7053, 7540, 473, 1867, 2679, 3576, 4369, 5864, 6469, 7879, 110, 1707, 2780, 3153, 4716, 5345, 6426, 7908, 132, 1851, 2593, 3975, 4846, 6025, 6982, 8170, 171, 1248, 3063, 3413, 5088, 6206, 7162, 7494, 552, 1248, 3135, 3680, 5122, 5765, 6630, 7899, 105, 1623, 2326, 4073, 5088, 5360, 7129, 7349, 142, 1623, 2781, 3994, 4704, 5677, 6579, 7557, 945, 1528, 3065, 4071, 4630, 6186, 6996, 7723, 488, 1528, 2164, 4145, 4624, 6139, 6794, 8223, 488, 1528, 3117, 3367, 4798, 5635, 7124, 7766, 541, 1752, 2424, 3448, 5138, 5378, 6413, 7410, 789, 1283, 2332, 3595, 5088, 5550, 7007, 8078, 555, 1623, 2729, 3277, 4512, 5661, 6677, 7876, 201, 2017, 2806, 4071, 4870, 6139, 7207, 7485, 488, 2017, 3117, 3367, 4624, 6186, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 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, 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, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 17, 75, 5, 11, 41, 16, 52, 5, 54, 26, 66, 64, 5, 76, 33, 54, 5, 43, 48, 5, 63, 39, 75, 30, 5, 52, 26, 51, 5, 16, 5, 53, 14, 30, 53, 15, 54, 5, 5, 3, 945, 1528, 2806, 4068, 4704, 6211, 6709, 8147, 201, 2017, 2806, 3893, 4704, 6139, 7124, 8147, 555, 1833, 3065, 4113, 4888, 5241, 6677, 7563, 878, 1503, 2473, 4125, 5103, 5890, 6891, 8252, 942, 1503, 2627, 3826, 4343, 5894, 7024, 7397, 189, 1697, 2721, 3596, 4664, 5404, 6896, 7670, 249, 1503, 2539, 3505, 4507, 5288, 6703, 7615, 993, 2050, 2997, 3700, 5128, 5865, 6741, 8091, 776, 1478, 2732, 3184, 4271, 6077, 6502, 7652, 899, 1878, 2703, 3522, 4512, 5500, 6860, 7785, 405, 1887, 2860, 4097, 4512, 6174, 7048, 7317, 440, 1797, 2904, 3906, 5053, 5256, 6671, 8267, 440, 2085, 2989, 3931, 4412, 6009, 6630, 8107, 1047, 1752, 2775, 3374, 4533, 6018, 7100, 7476, 1051, 1767, 2314, 3374, 4552, 6120, 6604, 7714, 984, 2028, 2965, 3909, 5153, 6123, 6740, 8185, 488, 2032, 3135, 3645, 5058, 6129, 7077, 7658, 956, 2017, 3135, 4018, 5058, 6186, 6786, 8076, 915, 2032, 2960, 3825, 4555, 6129, 6786, 7949, 427, 1981, 2941, 4174, 5165, 5892, 6515, 8085, 1011, 1706, 2224, 3762, 5143, 5550, 7045, 8083, 738, 2047, 2286, 3608, 4742, 5872, 6978, 7291, 823, 2026, 2198, 3205, 4331, 6135, 6281, 8244, 900, 1469, 2574, 3179, 5186, 6080, 6267, 7968, 339, 1106, 2937, 3790, 4310, 5382, 6390, 8229, 531, 1419, 3083, 3790, 4628, 6080, 7192, 7405, 493, 1419, 2681, 3997, 4373, 5205, 7195, 7462, 339, 2081, 2636, 3520, 4725, 5872, 6944, 7915, 531, 1778, 2681, 3429, 5186, 5205, 7001, 7792, 736, 2026, 2712, 3288, 4572, 6096, 6461, 8064, 192, 1302, 2712, 3630, 5103, 5571, 6469, 8127, 1090, 1146, 2294, 3781, 4444, 5471, 7000, 7492, 518, 1385, 3015, 3977, 4913, 5493, 7202, 7733, 878, 1597, 2942, 3183, 5178, 6012, 6901, 7255, 440, 1976, 3007, 3681, 4486, 5811, 6752, 7764, 489, 1968, 3068, 3369, 4423, 5251, 6677, 7476, 256, 1309, 2899, 3777, 4888, 5719, 6604, 7664, 489, 1974, 2391, 4113, 5098, 5385, 6512, 7869, 757, 1851, 2998, 3595, 5157, 6123, 7202, 7703, 959, 1884, 2366, 3566, 5101, 5514, 7096, 7732, 160, 1761, 2721, 4013, 4316, 5904, 6506, 7360, 150, 1469, 2821, 4127, 4670, 5775, 6745, 7311, 803, 1469, 2531, 3837, 4845, 5789, 6275, 7576, 993, 2050, 3126, 3880, 4281, 6010, 6763, 7999, 936, 1440, 3066, 3766, 4395, 5473, 6595, 7312, 104, 1146, 2506, 3967, 4285, 6065, 6582, 8096, 113, 1708, 2506, 3967, 4339, 5597, 6667, 7670, 993, 1440, 2435, 3276, 5118, 5474, 7173, 7862, 150, 1129, 2567, 3276, 4334, 5223, 6350, 7484, 895, 1129, 2414, 3179, 5188, 6066, 6426, 8242, 850, 1676, 2642, 3372, 4246, 5910, 7086, 7375, 610, 2009, 2783, 4102, 5000, 5643, 7168, 8205, 778, 2053, 3129, 4096, 4691, 5681, 7198, 8034, 104, 1773, 2944, 3395, 4849, 5408, 6566, 7607, 826, 1399, 2610, 3169, 4842, 5640, 6777, 7252, 778, 1255, 2536, 3605, 4586, 6131, 6716, 7563, 104, 1660, 2678, 3231, 5159, 5694, 6774, 7957, 535, 1910, 2173, 3475, 4402, 6039, 6952, 7255, 293, 1686, 2240, 4079, 4566, 6184, 6311, 8112, 803, 2061, 2470, 3989, 4372, 6203, 6932, 7951, 234, 1984, 2704, 3394, 4976, 6104, 6805, 7983, 930, 1151, 2626, 3741, 4353, 5898, 6542, 7319, 620, 1904, 2724, 3394, 4881, 5720, 6830, 7982, 862, 1496, 2507, 3831, 4637, 6034, 6672, 8139, 774, 1112, 2629, 3353, 4973, 5886, 6854, 8033, 103, 1278, 2692, 3965, 4212, 5555, 6307, 7682, 103, 1441, 2872, 3732, 4521, 5723, 6413, 7827, 103, 1707, 2309, 3602, 4779, 6058, 7066, 7947, 779, 1847, 2601, 3922, 4611, 5345, 6528, 7869, 1056, 1747, 3021, 3513, 4619, 5306, 6901, 8126, 914, 1783, 2641, 3961, 4925, 5901, 7120, 8107, 186, 1508, 2746, 4108, 4822, 5705, 6972, 8195, 186, 2046, 3007, 3226, 4888, 6129, 6709, 7766, 935, 2046, 3135, 4018, 5104, 6081, 6752, 8107, 568, 1106, 2988, 4107, 4224, 5957, 6734, 7602, 824, 1996, 3059, 3692, 5040, 5890, 6657, 8213, 654, 1300, 2596, 4149, 4902, 5890, 6657, 8102, 654, 2013, 2839, 3518, 4399, 5413, 7024, 7865, 654, 1345, 2725, 4096, 4240, 5814, 7145, 8126, 654, 1345, 2725, 3518, 5159, 5767, 7098, 7402, 654, 1826, 2833, 3227, 4344, 5923, 6963, 8237, 225, 2061, 2696, 3874, 4541, 5767, 6432, 8117, 228, 1756, 2839, 4125, 5168, 6110, 7160, 7485, 228, 1347, 3091, 3566, 5007, 6110, 6752, 7557, 228, 2111, 3147, 3586, 5128, 5678, 6757, 8262, 183, 1719, 2554, 4096, 5089, 5486, 6996, 7537, 543, 1286, 2469, 3777, 5138, 5678, 6515, 7336, 555, 1684, 3133, 3518, 5007, 5515, 7024, 7717, 915, 2017, 2833, 3595, 5079, 5963, 6996, 7509, 488, 1756, 2806, 4125, 4549, 5515, 6988, 8147, 915, 1756, 2806, 4125, 4549, 5493, 6338, 7677, 818, 1648, 2164, 3825, 4798, 6139, 7124, 8196, 915, 1622, 2914, 3827, 4583, 6139, 6338, 8076, 555, 1147, 2833, 3893, 4622, 5550, 7207, 7865, 859, 1974, 2833, 4166, 4583, 6139, 7120, 7563, 859, 2127, 3147, 4068, 4423, 6163, 6604, 7563, 617, 1496, 2918, 3352, 5079, 5890, 6604, 7383, 484, 2111, 2858, 4166, 4681, 5385, 7100, 7865, 484, 1750, 2164, 3891, 4374, 5811, 6752, 7865, 201, 2073, 2806, 3803, 4704, 6081, 6988, 7766, 142, 1528, 2806, 3825, 4624, 6186, 7226, 8196, 818, 2017, 2164, 3893, 4624, 5635, 7239, 8196, 818, 1648, 2806, 4018, 4798, 5832, 6979, 8223, 940, 1620, 3007, 3803, 4558, 5635, 7201, 7715, 685, 2079, 2363, 4097, 4282, 6120, 7235, 7881, 728, 1318, 2863, 3399, 4873, 6106, 6614, 8135, 668, 1509, 2750, 3530, 4330, 5769, 7067, 7663, 314, 1284, 2378, 3474, 4274, 6012, 6520, 7726, 401, 1834, 2871, 3195, 5042, 5810, 6803, 7435, 271, 1633, 2629, 3695, 4586, 6205, 7197, 7677, 1004, 1400, 2725, 3580, 4843, 6052, 6694, 8129, 896, 1550, 2940, 3952, 4636, 5298, 6269, 7375, 632, 1717, 3018, 3875, 5026, 6135, 6756, 7400, 807, 2047, 2456, 3476, 4543, 5929, 7246, 7955, 545, 1164, 2850, 3159, 4962, 6207, 6860, 7509, 653, 1782, 2976, 3788, 4776, 6013, 7015, 8095, 918, 2047, 2188, 3882, 4312, 5980, 6889, 7882, 271, 1735, 3020, 3770, 4845, 5261, 6715, 8102, 504, 1407, 2440, 3727, 4841, 5840, 7232, 7467, 643, 1317, 2905, 4079, 4486, 5624, 6251, 8006, 150, 1499, 2250, 3516, 4271, 5572, 6387, 7602, 1025, 2064, 2299, 3614, 4919, 5551, 6422, 7800, 981, 1897, 2454, 3220, 4343, 6001, 6852, 7866, 150, 1265, 2254, 3557, 4867, 5713, 7221, 7263, 643, 1523, 2792, 3176, 4548, 5856, 6713, 7557, 271, 1332, 2424, 4151, 5041, 5747, 6657, 8061, 938, 1509, 2424, 3349, 4841, 5656, 6421, 8061, 1080, 1759, 2848, 3615, 4444, 5579, 7017, 7276, 1019, 1627, 2142, 3952, 4776, 5449, 6998, 8049, 664, 1249, 2882, 4137, 4636, 5914, 6857, 7534, 1019, 1695, 2782, 4087, 4328, 6002, 6660, 8253, 632, 1695, 2170, 3683, 4620, 5973, 6431, 8224, 1036, 1985, 2940, 3400, 4842, 6015, 7161, 7828, 234, 1118, 2506, 4087, 4459, 5504, 7004, 7384, 234, 1815, 2188, 4073, 4908, 5257, 7200, 7793, 545, 1446, 2543, 3356, 5179, 5402, 6781, 7756, 487, 1562, 2396, 3631, 4191, 5745, 6746, 8016, 487, 1284, 2369, 3764, 4543, 5764, 6466, 7393, 918, 1834, 2436, 3855, 4845, 5384, 6348, 8149, 845, 1164, 2506, 3826, 4539, 5444, 6497, 7707, 540, 1249, 2357, 3764, 4364, 5863, 6413, 7384, 1023, 1556, 2610, 4079, 4894, 5863, 7053, 8092, 363, 1808, 3018, 4007, 4351, 5640, 6639, 8033, 299, 1570, 2387, 3465, 5124, 5433, 6749, 7760, 150, 1252, 2974, 3850, 4875, 5344, 7149, 7999, 171, 1860, 2389, 4103, 4896, 5943, 7017, 7313, 440, 1146, 2708, 4145, 4983, 5723, 6810, 7664, 756, 1700, 2783, 3364, 4993, 5276, 7017, 7438, 804, 1485, 2542, 3563, 5167, 6160, 7168, 8066, 833, 2098, 2895, 3206, 4993, 5493, 6774, 8261, 844, 1905, 2454, 3646, 4437, 5266, 6918, 8260, 902, 1912, 2675, 3697, 4430, 5765, 6486, 8150, 113, 1199, 2232, 4067, 4930, 5382, 6795, 7614, 1008, 1753, 2373, 4044, 4504, 5323, 7020, 7704, 1103, 1716, 2296, 3424, 4435, 6029, 7158, 7363, 161, 1609, 2173, 3695, 5126, 5771, 6995, 7850, 349, 1828, 3010, 3262, 4395, 5533, 7202, 8171, 900, 1171, 3102, 4123, 4539, 5223, 6974, 8026, 1052, 1951, 2882, 3968, 4539, 5459, 6442, 8060, 103, 1494, 3146, 3943, 4606, 5927, 6626, 7429, 935, 1757, 2552, 4039, 4780, 5835, 7111, 7732, 171, 1224, 2899, 4166, 4435, 5378, 7168, 7968, 1056, 1534, 2834, 3891, 4870, 6146, 6752, 7825, 120, 1504, 2621, 4089, 4345, 5714, 6578, 7426, 756, 1915, 2903, 3977, 4359, 5503, 6806, 8007, 392, 2065, 2151, 3259, 4756, 5572, 6728, 7801, 997, 1596, 2464, 3466, 4285, 5793, 7024, 7936, 314, 1284, 2309, 3451, 4719, 6118, 7148, 8178, 767, 1685, 2456, 3649, 4982, 5835, 6308, 7975, 731, 1633, 2649, 3973, 4361, 5558, 6734, 8236, 223, 1269, 2158, 4120, 4305, 5873, 6905, 7673, 504, 1773, 3080, 3892, 4930, 5976, 7059, 8241, 1033, 2068, 2429, 4102, 4930, 5522, 6914, 8016, 271, 1924, 2868, 4145, 4419, 5898, 6755, 8025, 318, 1280, 2163, 4128, 4883, 5829, 6240, 7261, 1033, 1566, 2163, 3251, 4693, 5518, 6423, 7529, 271, 1141, 3088, 3410, 4481, 5829, 7126, 7393, 538, 1119, 2247, 3599, 4545, 5664, 6718, 7453, 538, 1785, 3040, 3997, 4302, 5506, 6998, 7495, 728, 1785, 3040, 4081, 4757, 6022, 6650, 8012, 775, 1768, 3040, 3865, 4256, 5624, 6964, 7785, 249, 1193, 3040, 3356, 4364, 5318, 6230, 7253, 310, 1778, 3040, 4102, 4719, 5370, 6334, 8153, 581, 1812, 3040, 3514, 4302, 5745, 6943, 8041, 249, 1550, 2861, 3882, 4755, 5644, 6741, 7748, 737, 1904, 3040, 3915, 5158, 5815, 6662, 7823, 966, 2061, 2366, 3912, 4321, 5750, 6522, 8263, 966, 1812, 3091, 3329, 4813, 6210, 7052, 7365, 179, 1397, 2871, 3392, 4539, 5222, 7174, 8190, 249, 1401, 2137, 3943, 4364, 5716, 6869, 7584, 247, 1472, 2129, 3394, 4885, 6053, 6472, 8081, 876, 1915, 2725, 3225, 5069, 5792, 6859, 8111, 356, 1763, 2380, 3994, 4813, 6042, 7122, 7611, 804, 1660, 2326, 3955, 4447, 5436, 6612, 7962, 427, 1919, 3043, 3866, 4856, 6051, 6432, 7515, 1090, 2024, 2944, 3961, 4447, 5968, 7230, 8076, 424, 2125, 2326, 4145, 5106, 5978, 7023, 8076, 211, 1989, 2771, 4145, 4993, 6070, 6589, 7806, 650, 1360, 3033, 3525, 4983, 5577, 7143, 7384, 104, 1717, 2989, 3233, 5125, 5648, 6816, 8078, 104, 1682, 2874, 4027, 5193, 5653, 6871, 8235, 271, 1682, 2440, 3756, 5095, 5212, 6387, 8051, 993, 1141, 2610, 3170, 4426, 5366, 6648, 8213, 535, 1818, 2741, 3628, 5020, 5526, 6410, 8023, 313, 1438, 2429, 3323, 4321, 5819, 6672, 7572, 581, 1388, 2751, 3448, 4811, 5843, 6576, 7604, 492, 1139, 2431, 3469, 4664, 5492, 6628, 7896, 993, 1397, 2578, 3745, 4305, 6119, 6798, 8268, 774, 1539, 3101, 3394, 4459, 5346, 6313, 8201, 1052, 2049, 2487, 3225, 5022, 5658, 6324, 7849, 992, 1132, 2751, 3225, 4270, 5423, 7031, 7556, 113, 1886, 2346, 3900, 4412, 5508, 6740, 8207, 862, 1665, 2346, 3171, 4364, 5608, 6520, 7405, 930, 1132, 2951, 3392, 4812, 6067, 6474, 8117, 459, 1184, 2751, 3171, 4222, 5352, 7028, 7532, 668, 1424, 2378, 3171, 5188, 5331, 7227, 7757, 668, 1510, 2165, 3277, 5040, 5810, 6493, 7545, 995, 1459, 2156, 4133, 5014, 5809, 6550, 7900, 913, 1631, 2378, 3816, 5188, 5474, 7038, 7645, 913, 1510, 2754, 3354, 4756, 5810, 7108, 7918, 951, 1858, 3098, 4035, 4898, 5899, 6859, 7887, 663, 1455, 2403, 4145, 5169, 6000, 6698, 7808, 831, 1244, 2552, 3961, 4365, 5824, 6263, 7607, 160, 1463, 2767, 4115, 5115, 5880, 6901, 8038, 831, 1778, 2429, 3233, 4867, 5512, 6528, 8239, 610, 1269, 2924, 3660, 4437, 6192, 6668, 7966, 465, 1886, 2636, 3874, 5150, 5385, 7074, 7496, 844, 1349, 2990, 3788, 4828, 5526, 6750, 8238, 308, 2111, 2754, 3766, 4896, 5548, 6442, 7716, 555, 2111, 2783, 3945, 4912, 5548, 7207, 7948, 488, 1992, 2838, 3891, 4387, 6085, 7201, 8147, 488, 1620, 2991, 3825, 5080, 6139, 6794, 7876, 186, 1528, 3007, 3891, 4624, 5635, 7084, 8260, 859, 2111, 2970, 3866, 4512, 6186, 6996, 7664, 356, 1490, 2775, 3851, 5060, 5767, 7100, 7808, 617, 1345, 2791, 3716, 5160, 5296, 6840, 8131, 617, 1490, 2839, 3687, 4535, 5515, 6529, 7764, 617, 1490, 2921, 3856, 5079, 5413, 6671, 8236, 4, 2 ]

[ 1, 76, 17, 66, 5, 45, 78, 5, 31, 16, 5, 77, 17, 55, 5, 53, 14, 54, 5, 66, 20, 51, 44, 55, 5, 16, 28, 23, 66, 5, 5, 5, 44, 51, 64, 51, 52, 39, 53, 30, 5, 64, 51, 14, 63, 51, 63, 56, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8223, 818, 1622, 2991, 4018, 4798, 5705, 7077, 7766, 1025, 1924, 3095, 3803, 5153, 5635, 7084, 8195, 610, 1679, 3008, 3400, 4191, 5359, 6309, 7260, 610, 2124, 2231, 3420, 4215, 6068, 6796, 7948, 826, 1503, 2290, 3325, 4941, 6010, 6958, 7590, 881, 1916, 2476, 3233, 4571, 5684, 7038, 7951, 404, 1157, 2848, 3530, 4553, 5581, 6421, 8077, 665, 1210, 2911, 3611, 4555, 5880, 7074, 7784, 1088, 1299, 2306, 4162, 4872, 5622, 6762, 7483, 1088, 1299, 3052, 3670, 4851, 5796, 6397, 7260, 1088, 1222, 2775, 4155, 4395, 6028, 7127, 7256, 722, 1323, 2990, 3588, 4327, 5745, 6607, 7981, 448, 2002, 2502, 3969, 5075, 5643, 6224, 7845, 613, 1554, 2992, 3740, 4259, 5223, 7237, 7802, 115, 1524, 2903, 3740, 4996, 5370, 6783, 7411, 576, 1820, 2156, 3555, 4321, 6007, 7122, 7592, 195, 1747, 2527, 3407, 5157, 5830, 6579, 7997, 240, 1304, 2838, 3766, 4205, 5963, 6630, 8262, 440, 1579, 2454, 4146, 4288, 5590, 6607, 8026, 240, 1452, 2718, 4037, 4573, 5614, 7218, 7716, 1014, 1399, 3075, 3879, 4622, 5651, 7047, 8016, 825, 1750, 2833, 3990, 4510, 5687, 6883, 7498, 825, 1471, 2484, 4120, 4952, 5811, 6563, 7437, 545, 2052, 3074, 3581, 4562, 5345, 6724, 7350, 545, 1961, 2951, 3421, 4618, 5244, 6461, 7767, 545, 2014, 2349, 3421, 4796, 5244, 6702, 7303, 1090, 1112, 2836, 3771, 4672, 5325, 6591, 7303, 448, 2084, 2268, 3421, 5081, 6097, 6474, 8117, 639, 1244, 2793, 3421, 4641, 5771, 6651, 7827, 996, 1248, 2783, 3421, 5154, 5538, 6985, 7704, 992, 1206, 2761, 4007, 4777, 6113, 6430, 7304, 1038, 1422, 2559, 3777, 5193, 5703, 6666, 7607, 293, 1168, 3040, 3880, 4684, 5739, 6874, 8084, 293, 1900, 3040, 4082, 4607, 5734, 6443, 7318, 410, 1183, 2751, 4058, 4205, 6141, 6487, 7844, 569, 1596, 3040, 3639, 5098, 5341, 6492, 8022, 536, 1183, 2401, 3459, 4285, 6145, 6663, 7667, 1025, 1509, 2992, 3967, 4210, 6118, 7059, 7558, 424, 1275, 2905, 3955, 4756, 6029, 6436, 7872, 850, 1637, 2265, 3857, 4896, 5498, 7045, 7648, 610, 1577, 3144, 3253, 4229, 5481, 6809, 7717, 887, 1676, 2943, 3380, 4700, 5730, 6402, 7641, 1090, 1139, 2754, 3183, 4573, 5637, 7058, 7706, 1035, 1671, 2454, 4096, 4811, 6205, 7149, 8260, 104, 1540, 2254, 3885, 5098, 5568, 7098, 7887, 610, 1577, 3144, 3732, 4287, 5873, 6809, 7718, 887, 1932, 2573, 3929, 4371, 6181, 6254, 8107, 936, 1141, 2139, 3660, 5182, 6111, 6715, 7784, 810, 1826, 2474, 3524, 4209, 5656, 6669, 7930, 480, 1534, 2725, 3303, 4934, 5314, 6969, 8201, 873, 1906, 2830, 3543, 4268, 6002, 6267, 8058, 242, 1636, 2951, 3268, 5148, 5714, 7067, 7383, 620, 1349, 2985, 3495, 5138, 5304, 6625, 7297, 639, 1349, 2751, 3501, 5031, 6096, 6402, 8040, 1084, 1316, 2951, 3973, 5096, 5598, 6241, 7582, 763, 1472, 2951, 3582, 4239, 5629, 6663, 7631, 923, 1510, 2700, 3443, 4555, 5656, 7126, 7279, 691, 1510, 2941, 3463, 4767, 5610, 6224, 8096, 641, 2111, 2951, 3205, 4919, 5607, 6819, 7823, 806, 1326, 2271, 3706, 4737, 5568, 7174, 7386, 1071, 1644, 2519, 3922, 4343, 5431, 7106, 7827, 1071, 1721, 2244, 4085, 4828, 5678, 6830, 7260, 160, 1771, 2833, 4143, 4782, 6175, 6786, 7918, 304, 2001, 3064, 4097, 4870, 6063, 7019, 8076, 211, 1777, 3128, 3886, 4870, 5661, 7207, 8245, 308, 1620, 2833, 3945, 5166, 5678, 6852, 7949, 1099, 1620, 2833, 4071, 4822, 5883, 6752, 7959, 555, 1467, 3021, 4174, 4366, 5761, 6996, 7715, 757, 1964, 2860, 4011, 4398, 5261, 6639, 7957, 276, 1199, 2839, 4015, 4764, 5869, 6354, 7674, 568, 1749, 2721, 4092, 4780, 6128, 6776, 8150, 153, 2106, 2858, 4028, 5150, 6111, 7055, 8079, 403, 2032, 2293, 4166, 4737, 5305, 7010, 7827, 1102, 2088, 2924, 3816, 5020, 5359, 7157, 7889, 942, 1503, 2957, 3904, 4287, 5981, 6758, 8135, 948, 1503, 2546, 3783, 4700, 5422, 7103, 7303, 408, 1503, 2204, 3554, 4682, 5995, 6912, 7752, 404, 1469, 2861, 3851, 4394, 5399, 6823, 7321, 1064, 1215, 2995, 3818, 4336, 5213, 6387, 7743, 722, 1775, 2995, 3887, 5022, 5584, 6586, 8045, 731, 1215, 2363, 4147, 4601, 6055, 6917, 7754, 779, 1755, 2385, 4112, 5058, 5811, 7220, 7264, 512, 1737, 3108, 3240, 4592, 5730, 7058, 7706, 186, 2032, 2363, 3945, 4780, 6211, 7168, 7766, 337, 2032, 2307, 3803, 4980, 5439, 7239, 8080, 914, 1508, 3143, 4112, 4713, 6205, 6972, 7485, 186, 1508, 2914, 4071, 4704, 5241, 6688, 7949, 120, 1806, 2988, 4095, 4648, 5782, 7212, 7743, 489, 2064, 3028, 3662, 4246, 5795, 7198, 7313, 105, 1876, 2356, 4166, 4412, 5500, 7168, 8080, 731, 1753, 2383, 3711, 4954, 5778, 7043, 8128, 856, 1896, 2514, 3903, 4875, 5603, 7182, 8219, 1065, 1755, 2872, 3258, 4773, 5706, 6371, 7442, 767, 1905, 2345, 3364, 4916, 6222, 6724, 7904, 831, 1717, 2403, 4093, 4338, 5650, 7058, 8126, 731, 1415, 2134, 3352, 4186, 5366, 7230, 8261, 304, 1175, 2924, 4152, 4186, 5873, 7120, 8188, 1033, 1120, 2905, 3899, 4470, 6171, 6333, 7878, 223, 1562, 2905, 3390, 5129, 6103, 7006, 7485, 970, 1388, 2391, 4151, 4808, 5413, 6349, 8098, 970, 1668, 2905, 4106, 5007, 6199, 7023, 7941, 692, 1596, 2377, 3530, 4887, 5446, 6962, 7476, 920, 1830, 3040, 3348, 4719, 6114, 7053, 7981, 1029, 1897, 2687, 3833, 4612, 5788, 6582, 7438, 304, 2079, 2729, 3982, 4291, 6123, 6694, 7290, 390, 1540, 3008, 3866, 4856, 5590, 6979, 7260, 1097, 1873, 2991, 4006, 5020, 6205, 6891, 7908, 914, 1939, 3064, 3516, 4583, 6103, 6972, 8196, 512, 1945, 3095, 4108, 5165, 6195, 6852, 8237, 143, 1773, 2754, 4092, 4691, 5836, 7012, 7510, 893, 2035, 2265, 4164, 4860, 5711, 6963, 7602, 867, 1503, 2540, 3563, 4961, 5298, 6706, 7810, 326, 1503, 2474, 3177, 4364, 6088, 7056, 7581, 410, 1346, 2308, 3213, 5123, 5738, 6684, 7799, 1052, 1503, 2751, 4075, 4339, 5383, 6440, 7541, 100, 1934, 2455, 3851, 4847, 5641, 6637, 7642, 508, 1208, 2872, 3721, 4607, 6060, 6281, 7275, 1094, 1683, 2869, 3310, 4941, 5983, 6632, 7657, 482, 1503, 2321, 3849, 4436, 5960, 6560, 8061, 641, 1503, 2774, 3901, 4748, 5339, 6588, 7855, 750, 1503, 3140, 3413, 4332, 5557, 6289, 7919, 776, 1562, 2882, 3425, 4446, 5395, 6980, 7537, 373, 1363, 2941, 3901, 4387, 5526, 6455, 8195, 424, 1865, 3005, 4059, 4462, 5614, 6620, 7673, 510, 1998, 2729, 3990, 4980, 5901, 7111, 7948, 555, 2017, 3021, 4085, 4713, 5630, 6979, 8083, 153, 2034, 2139, 3838, 4870, 6171, 7235, 7876, 183, 1858, 2221, 3754, 4762, 6085, 6486, 7303, 568, 2059, 2151, 3470, 4780, 5963, 6612, 7480, 552, 1332, 2946, 3391, 4536, 6137, 6613, 8185, 488, 1684, 2946, 3803, 4423, 6129, 6604, 8236, 201, 1528, 3117, 4145, 4888, 6205, 7124, 8223, 860, 1528, 3117, 3367, 4888, 6139, 7077, 8223, 488, 2017, 3117, 3367, 4624, 5635, 7124, 8223, 488, 2017, 3117, 3825, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2806, 3367, 4624, 6081, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1648, 2914, 4071, 4798, 6186, 6752, 8196, 915, 2017, 2970, 3367, 4681, 5635, 7226, 7766, 555, 1684, 3064, 4006, 4512, 6139, 7120, 8076, 555, 1684, 2970, 3391, 4387, 5635, 7152, 8196, 915, 2017, 2858, 4145, 4798, 5635, 6996, 8080, 555, 1684, 2970, 4166, 5166, 6081, 7120, 8076, 915, 1684, 2970, 3391, 4681, 5534, 7207, 8126, 915, 1623, 2806, 3893, 4512, 6137, 6996, 8126, 915, 1147, 2806, 4168, 4681, 5635, 6584, 8147, 488, 1528, 2970, 3827, 4624, 5219, 6688, 7766, 488, 1528, 2970, 3827, 4624, 6139, 6589, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7226, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 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, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 419, 1750, 3110, 4071, 4798, 6129, 7124, 7723, 240, 1623, 2718, 3413, 4983, 5378, 7078, 7723, 499, 1958, 2231, 3924, 4417, 5504, 6622, 7798, 184, 1685, 3116, 3218, 4455, 5280, 6910, 7261, 616, 1685, 2346, 3521, 4539, 5482, 6683, 7393, 650, 1112, 2940, 3937, 4546, 5800, 6325, 8250, 804, 1186, 2136, 3268, 4237, 6175, 7107, 8164, 914, 1700, 2947, 3363, 4782, 5911, 7058, 8070, 757, 1817, 2661, 3595, 4945, 5526, 6607, 7795, 541, 1905, 3147, 3831, 4411, 5918, 6944, 8200, 195, 1971, 3042, 3555, 4374, 5719, 6749, 7279, 276, 1905, 2341, 3782, 4423, 5598, 6716, 8261, 195, 2127, 2341, 3993, 4870, 5520, 7007, 7509, 195, 1623, 3059, 3994, 5112, 5296, 7241, 7549, 195, 1286, 2469, 4124, 5160, 5784, 6615, 7477, 518, 2034, 3062, 3277, 4993, 5352, 6576, 7899, 171, 2097, 2886, 3478, 5088, 6160, 7207, 7586, 488, 1961, 3021, 4145, 4704, 6137, 6291, 8126, 419, 1750, 2792, 4145, 5166, 6137, 6338, 8126, 915, 1622, 2914, 4174, 4555, 5612, 7226, 8080, 473, 1304, 2709, 3886, 4583, 6129, 7144, 8103, 707, 1752, 2398, 4085, 4411, 6093, 6249, 8234, 757, 1865, 2836, 3994, 5138, 5589, 6242, 8117, 304, 1596, 2718, 3987, 4470, 5210, 7114, 8164, 160, 1145, 2783, 3273, 4287, 5425, 6671, 7913, 1071, 1614, 2867, 3961, 5020, 5734, 7013, 7896, 115, 1415, 2196, 3169, 4201, 6037, 6741, 8150, 113, 1461, 2953, 3399, 4795, 5648, 7067, 7361, 1068, 1882, 2527, 3568, 4734, 6122, 6708, 7962, 920, 1916, 2288, 3767, 4702, 5648, 6804, 8057, 918, 1164, 2779, 3596, 4949, 5523, 6623, 7481, 487, 2114, 2309, 3696, 4673, 5943, 6547, 7476, 516, 1834, 2710, 3518, 5040, 5551, 7241, 8117, 750, 1706, 2991, 3732, 4482, 5727, 6910, 7367, 516, 1763, 2610, 3218, 4255, 5574, 6654, 7913, 750, 1653, 2543, 3513, 4501, 5285, 6284, 8045, 891, 1280, 2992, 3251, 4954, 5960, 7082, 7586, 940, 1873, 2340, 3914, 4630, 5219, 6884, 8209, 211, 2021, 2980, 4085, 4430, 6195, 7207, 7260, 390, 1620, 2980, 3717, 4622, 6129, 7019, 7870, 211, 1275, 2980, 3963, 5098, 6025, 6988, 8185, 160, 1255, 3008, 3982, 5038, 5730, 6604, 7821, 390, 1581, 2980, 4011, 4630, 5840, 7132, 7821, 1071, 1171, 2886, 3822, 4978, 5610, 6840, 7494, 183, 1139, 2945, 4007, 5040, 5802, 6840, 7480, 225, 1885, 2928, 3987, 5135, 5557, 7237, 7973, 225, 2060, 2221, 3298, 5120, 6051, 6909, 7776, 225, 2060, 2659, 3595, 4681, 5942, 6308, 7706, 225, 1252, 3028, 3827, 5138, 5942, 6889, 8126, 654, 1210, 2992, 3689, 5053, 5581, 6858, 7920, 874, 1750, 2833, 3595, 4942, 5296, 6474, 7636, 568, 1858, 3062, 3550, 5007, 5550, 7239, 7602, 153, 1839, 2718, 3595, 4265, 5687, 6671, 8126, 132, 1590, 2654, 4168, 5120, 6050, 6558, 8057, 859, 1381, 2781, 3838, 4470, 5677, 7220, 7421, 859, 1752, 3035, 4166, 5150, 6000, 7160, 7965, 1015, 1876, 2709, 3886, 4555, 6195, 6562, 7869, 256, 1653, 2740, 3236, 5150, 5536, 6249, 8006, 1059, 1112, 2783, 4103, 4818, 5307, 6625, 7402, 189, 1942, 2751, 3771, 4845, 5468, 7140, 8171, 806, 1112, 2791, 3968, 5096, 5408, 7140, 8092, 487, 1742, 2695, 3535, 4455, 5637, 6308, 8035, 995, 1561, 2669, 3892, 4588, 5800, 6706, 7748, 319, 1126, 2669, 4007, 5040, 6141, 6535, 8140, 803, 2034, 2487, 3231, 4426, 5441, 7141, 7311, 331, 1842, 3017, 3870, 4229, 5585, 6350, 7349, 1063, 1706, 2336, 3190, 4598, 5519, 6638, 7476, 891, 1560, 3147, 3766, 4805, 5639, 6397, 7678, 715, 1821, 2251, 3453, 4644, 5935, 6251, 7880, 1022, 2021, 2566, 3711, 5090, 5752, 6238, 7568, 750, 1858, 2444, 3817, 4343, 5776, 6671, 8092, 663, 1635, 2566, 3410, 5146, 5263, 6349, 7480, 484, 2041, 2775, 3645, 4374, 6051, 7091, 7664, 914, 2065, 2167, 3540, 4822, 6182, 7006, 7563, 186, 1508, 2996, 3440, 4912, 5219, 7084, 7876, 818, 1992, 2925, 3188, 4704, 5705, 7201, 7723, 935, 2017, 2730, 4068, 4624, 5883, 7006, 8237, 956, 1528, 3095, 3886, 4888, 6123, 7201, 7766, 558, 1293, 2867, 4135, 4318, 5461, 7208, 7769, 132, 2098, 2875, 4113, 4622, 5436, 6410, 7458, 579, 1865, 2968, 3954, 5083, 5813, 7152, 7255, 171, 2091, 2266, 4113, 5159, 5642, 7160, 8209, 955, 1351, 2936, 3836, 5197, 5540, 6938, 7720, 752, 1700, 2975, 4064, 4555, 5963, 6278, 8022, 752, 1682, 2941, 3767, 4876, 6021, 6913, 7398, 344, 1324, 2941, 3475, 4248, 5369, 6827, 7885, 913, 1994, 2440, 3850, 4428, 5289, 6528, 7471, 1038, 1865, 2584, 3637, 5171, 6192, 7015, 7628, 643, 1711, 2737, 3273, 4314, 5206, 6247, 8024, 1035, 2070, 2271, 3794, 4499, 5760, 6983, 7982, 643, 1711, 2345, 3314, 5100, 6128, 6918, 7448, 1035, 1898, 2718, 3371, 4592, 5462, 6631, 7717, 643, 1906, 2389, 3894, 4379, 6076, 6321, 7881, 970, 1582, 2719, 3334, 4720, 6003, 6277, 7594, 641, 1205, 3056, 3710, 4756, 5283, 6657, 7264, 678, 1873, 2944, 3868, 4630, 5332, 6501, 7535, 1025, 1995, 3090, 4150, 4343, 6096, 6431, 7797, 1081, 1205, 2498, 3896, 4268, 5446, 6723, 7291, 940, 1449, 2998, 3954, 4501, 5397, 6809, 7718, 779, 1280, 2941, 4093, 5141, 5673, 6992, 7881, 984, 1869, 2941, 4011, 4987, 6146, 6646, 7591, 935, 2032, 2960, 3982, 5139, 6195, 6750, 8260, 132, 2032, 3143, 3803, 4987, 6129, 7201, 7870, 186, 2017, 2914, 4171, 4980, 5210, 7230, 8147, 818, 1508, 3007, 3982, 4782, 5635, 7201, 7949, 488, 1622, 2914, 3893, 4630, 6081, 7084, 8147, 488, 1622, 3117, 3367, 4980, 6139, 6972, 8196, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2914, 3827, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3827, 4624, 6139, 6794, 7766, 488, 1648, 2914, 3827, 4512, 6139, 7124, 8237, 915, 1468, 2970, 3914, 4798, 5767, 6589, 8126, 488, 1528, 2970, 3391, 4624, 5892, 6794, 8223, 4, 2 ]

[ 1, 43, 73, 5, 11, 63, 5, 54, 16, 62, 57, 52, 77, 16, 54, 78, 5, 14, 66, 5, 31, 33, 63, 5, 66, 63, 39, 30, 5, 5, 3, 915, 2106, 2858, 3815, 4536, 6211, 7181, 7865, 555, 2111, 2858, 3391, 5159, 5241, 7129, 7732, 555, 2065, 2806, 3391, 5007, 5981, 6809, 7732, 915, 2111, 2806, 4174, 4622, 6139, 6996, 7485, 488, 2017, 3117, 3891, 4798, 6139, 6515, 7485, 142, 1528, 2806, 3825, 4704, 6139, 7077, 7766, 488, 1622, 2164, 4018, 4624, 6211, 7226, 8196, 555, 1844, 2806, 4171, 4366, 5219, 7077, 8076, 132, 1833, 2163, 4039, 4870, 5646, 6612, 8083, 216, 1919, 2163, 4106, 4651, 6063, 7232, 8236, 685, 1672, 2998, 3356, 4598, 5532, 6935, 7549, 608, 1206, 2464, 3420, 4873, 5570, 6224, 7905, 781, 1550, 3121, 3251, 4706, 5365, 7173, 7490, 150, 2048, 2923, 3505, 4264, 5251, 7146, 8050, 1029, 1867, 2437, 3643, 4996, 5368, 7232, 7554, 1029, 1518, 2137, 3167, 4485, 5473, 6622, 8248, 536, 1290, 2612, 3167, 4501, 5339, 6612, 7889, 299, 1290, 2643, 4128, 4810, 5315, 7232, 8081, 888, 1630, 2286, 4173, 5100, 5716, 7046, 7527, 436, 1633, 2476, 3567, 5050, 5668, 6373, 8085, 738, 1244, 2974, 3388, 4422, 5872, 6917, 8256, 1030, 1248, 2520, 3220, 4734, 5285, 6935, 8020, 113, 1156, 2409, 3603, 4259, 5414, 6866, 8099, 531, 2008, 3029, 3974, 4571, 6067, 6507, 7634, 558, 1393, 2327, 3758, 4873, 5938, 7112, 8171, 558, 1893, 2156, 3434, 4279, 6223, 6761, 7861, 465, 1593, 3054, 3736, 4462, 5818, 6442, 8190, 895, 1326, 2242, 4099, 5195, 5614, 6474, 8270, 271, 1828, 2874, 3875, 4304, 5854, 6635, 7894, 1025, 1828, 2877, 3631, 4777, 5965, 6899, 7533, 610, 1269, 2688, 3416, 4282, 6006, 6348, 8167, 424, 1306, 3053, 3187, 4374, 5202, 6908, 7537, 887, 2036, 2429, 3952, 4556, 6014, 6347, 7687, 104, 1773, 2492, 3229, 4617, 5908, 7006, 7421, 1025, 1146, 2440, 3915, 4695, 6027, 7129, 7256, 610, 1238, 2440, 3162, 4203, 5221, 7207, 7846, 465, 1828, 2869, 3562, 4774, 5780, 6783, 8073, 1052, 1703, 2452, 4021, 5110, 5443, 6627, 8233, 1067, 1633, 2845, 4004, 4717, 5505, 6792, 8117, 510, 1322, 3150, 4067, 5159, 5548, 7047, 7437, 1097, 1238, 3064, 3990, 4551, 5216, 7084, 8179, 186, 1620, 2391, 4108, 4366, 6051, 7160, 8066, 818, 1804, 2781, 3945, 4551, 5687, 7084, 7557, 935, 1791, 2803, 3710, 5080, 6051, 6972, 7948, 427, 1791, 2936, 4174, 4822, 5610, 7160, 7992, 120, 1633, 2701, 3704, 4867, 5514, 7232, 7547, 473, 2045, 2971, 3994, 5044, 6205, 6848, 7901, 752, 1469, 3038, 4153, 4565, 5288, 6790, 7263, 633, 1318, 3149, 3536, 4915, 5295, 6711, 7462, 900, 1667, 3090, 4022, 4454, 5819, 7184, 7689, 864, 1156, 3097, 3808, 4545, 5313, 6807, 7900, 556, 2095, 3094, 3880, 4706, 5335, 6351, 7423, 1036, 1469, 2449, 3991, 4234, 5938, 6623, 7527, 864, 2089, 2966, 4128, 4902, 5588, 6695, 7712, 1008, 1912, 3040, 3388, 4381, 5650, 6240, 7687, 1016, 1912, 2320, 3727, 4278, 5746, 7232, 7929, 277, 1440, 3015, 3752, 5193, 6154, 6404, 7929, 1047, 1912, 2137, 3226, 4994, 6146, 6566, 7996, 537, 2066, 2743, 4128, 5079, 5935, 7218, 7279, 373, 1566, 2944, 3767, 4441, 5678, 7232, 8159, 923, 1407, 2678, 3937, 5097, 6181, 7133, 7768, 1029, 1826, 2232, 4096, 5095, 6144, 7160, 7664, 986, 1570, 2704, 3824, 4467, 5938, 6241, 8197, 887, 1550, 2801, 3948, 5124, 5651, 6348, 7531, 103, 1808, 2559, 3764, 5166, 5276, 6813, 7748, 756, 1942, 2250, 3669, 4555, 5918, 6814, 7910, 103, 1581, 2426, 4166, 4596, 6135, 6397, 7660, 103, 2107, 2566, 3218, 4266, 5810, 6435, 7962, 103, 2105, 2974, 3421, 4635, 6180, 6708, 7324, 952, 1570, 2498, 3913, 5072, 5390, 7187, 7673, 585, 1706, 3020, 4085, 4364, 5541, 6576, 8170, 844, 2099, 2218, 3631, 4834, 5928, 6625, 8248, 1084, 2099, 2867, 4007, 5135, 5684, 6962, 8055, 1062, 1826, 2498, 3643, 5157, 5468, 6740, 8102, 211, 1876, 2716, 3593, 4792, 5824, 6982, 7367, 304, 1978, 3098, 3593, 4690, 5449, 7058, 7862, 1025, 1494, 2750, 3932, 4426, 5981, 6709, 7811, 1025, 2055, 2661, 4096, 4467, 5641, 6283, 8066, 610, 2055, 2440, 3575, 4925, 6164, 6702, 7971, 1025, 1692, 2429, 3819, 4379, 6095, 7152, 7676, 271, 2001, 2144, 4145, 4335, 5767, 6224, 7384, 271, 1554, 2346, 3216, 5144, 5730, 6911, 7693, 845, 1299, 2346, 3618, 4364, 6001, 6286, 7402, 1014, 1577, 3091, 4072, 4654, 6155, 6443, 7929, 240, 1918, 2529, 3995, 4945, 5792, 6736, 8048, 256, 2012, 3110, 3595, 4764, 5276, 6410, 8118, 518, 1205, 2760, 3580, 4344, 6001, 6369, 7905, 518, 1945, 2529, 3692, 4330, 5652, 7219, 7669, 211, 1918, 2565, 3488, 4982, 5678, 7165, 7542, 759, 1397, 3076, 3484, 4757, 6171, 7163, 8209, 875, 1510, 2769, 3943, 5118, 5787, 7169, 7590, 161, 1494, 2486, 3394, 4539, 5570, 6249, 7490, 774, 1494, 2346, 3765, 4715, 5643, 6926, 7954, 1041, 2009, 2346, 3647, 4228, 5291, 6807, 7591, 459, 1149, 2346, 3741, 4953, 5955, 6474, 7985, 776, 1507, 2583, 3394, 4897, 5303, 6623, 7652, 914, 1777, 2946, 3932, 4551, 5983, 6612, 8083, 935, 1218, 3109, 3909, 5038, 5767, 7207, 7876, 935, 2111, 3135, 3982, 4828, 6051, 7239, 7870, 935, 2111, 3135, 3803, 5061, 5832, 6852, 7948, 984, 1851, 3135, 3891, 5038, 5832, 6891, 7887, 935, 2111, 2834, 3945, 4622, 5694, 6979, 7764, 403, 2025, 2444, 3225, 4993, 5220, 6683, 7664, 641, 1508, 2959, 3543, 4437, 5470, 6689, 7801, 392, 1653, 2652, 3298, 4978, 6003, 6376, 7424, 897, 1507, 2346, 3353, 4315, 6034, 6736, 7967, 1019, 1283, 2483, 3764, 4875, 5512, 6608, 7592, 1019, 1771, 2346, 3741, 4826, 5264, 6651, 7415, 1019, 2053, 2436, 3764, 4467, 6002, 6493, 7436, 1019, 2053, 2346, 3915, 4826, 5408, 6883, 7750, 1019, 2053, 2436, 3326, 4804, 5656, 6894, 7955, 992, 1703, 2487, 3601, 4337, 5695, 6345, 7896, 774, 1296, 2487, 3601, 5074, 5347, 7229, 8110, 1066, 1472, 2987, 3402, 4459, 5565, 6732, 7892, 759, 2095, 2273, 3714, 4205, 5441, 6966, 8046, 373, 1510, 2326, 3392, 5061, 5973, 6411, 7636, 1097, 1858, 2746, 3819, 4630, 5901, 6776, 8267, 859, 1851, 3008, 3645, 4181, 6129, 6604, 7677, 859, 1924, 2803, 3900, 5166, 5515, 7098, 7570, 859, 1175, 3021, 3838, 4630, 6129, 6338, 8266, 541, 1750, 2880, 3391, 4358, 5610, 6750, 8066, 568, 2034, 2282, 3662, 4900, 5918, 7150, 8132, 568, 1313, 3026, 4015, 5184, 6154, 6756, 7869, 153, 1596, 2669, 4006, 5167, 5734, 7228, 7649, 1102, 1736, 3054, 3307, 4861, 5982, 6848, 7532, 650, 1407, 2397, 3671, 4993, 5442, 6615, 8085, 1029, 1208, 2568, 3955, 4198, 6125, 6301, 7439, 536, 1402, 2848, 3443, 4993, 5961, 6970, 8045, 840, 1842, 2848, 3443, 5049, 5518, 6507, 7954, 123, 2009, 2848, 4095, 5055, 5337, 7063, 7538, 807, 1628, 2349, 4019, 5004, 5938, 6958, 7483, 1101, 2008, 3104, 3261, 4684, 5976, 6770, 8065, 363, 1806, 2439, 3218, 5025, 6035, 7003, 7437, 884, 1164, 2900, 3764, 4321, 5616, 6431, 8141, 1101, 1637, 3104, 3756, 5148, 6118, 6847, 8140, 840, 1550, 2638, 3770, 5015, 5825, 6235, 8149, 807, 2024, 2593, 3970, 4981, 5594, 6224, 7524, 545, 1688, 2346, 3172, 4344, 6155, 6781, 8211, 986, 1747, 2885, 3939, 4929, 6002, 6478, 8170, 1025, 1550, 2766, 3329, 4606, 5651, 7241, 8253, 643, 1550, 2797, 4147, 4539, 5870, 6842, 7490, 150, 1550, 3029, 3358, 4683, 5978, 6224, 7519, 887, 1397, 3061, 4162, 5077, 5719, 6871, 8212, 103, 2107, 2941, 3962, 4717, 5810, 7137, 8132, 610, 1116, 2801, 3864, 4321, 5443, 7232, 7298, 103, 2036, 2945, 3764, 4334, 5298, 6818, 7962, 955, 1942, 2293, 4097, 4635, 5200, 6892, 7545, 211, 1553, 2480, 3990, 4993, 5441, 7010, 7344, 804, 1685, 2833, 3710, 5095, 5844, 6414, 7723, 1097, 1508, 2582, 3945, 4782, 6103, 6996, 8179, 684, 2046, 3064, 3916, 4630, 5705, 6589, 8076, 804, 1791, 2806, 4108, 5183, 6205, 6786, 7908, 308, 1218, 2925, 3188, 5159, 5883, 7207, 7949, 1088, 1320, 2326, 3309, 4439, 6164, 6810, 7677, 902, 1286, 2587, 4125, 4691, 5594, 6391, 7453, 397, 1821, 2513, 4125, 4985, 6171, 7102, 7826, 730, 1510, 2218, 3254, 4449, 5629, 6603, 8128, 693, 1706, 2520, 3615, 5188, 5694, 6507, 7896, 603, 1623, 2924, 3751, 4555, 5925, 6663, 7816, 804, 1623, 2669, 3908, 4856, 5792, 7004, 8164, 1097, 1467, 2833, 4170, 5088, 6025, 6809, 8061, 186, 2111, 2946, 4108, 4918, 6137, 6584, 8260, 945, 1528, 3065, 4071, 4704, 5635, 7207, 8223, 488, 2017, 2806, 4071, 4624, 6139, 7077, 8223, 818, 2017, 3110, 3893, 4624, 6186, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 4, 2 ]

[ 1, 64, 17, 29, 5, 14, 78, 5, 43, 48, 5, 64, 20, 5, 44, 54, 5, 31, 16, 5, 64, 66, 63, 48, 66, 64, 5, 5, 3, 201, 2097, 2560, 3917, 4870, 5678, 6604, 8236, 228, 1623, 2833, 3376, 4556, 5521, 7006, 7477, 240, 2127, 2946, 3798, 4700, 5500, 7197, 8061, 654, 2106, 2970, 4125, 5159, 5385, 6607, 8236, 518, 1961, 2271, 4083, 4344, 5549, 7237, 7604, 518, 2127, 2341, 3291, 5079, 5624, 6515, 7303, 256, 1684, 3143, 3550, 4715, 5310, 6515, 8262, 967, 2046, 2554, 3891, 4525, 6171, 7058, 7563, 1071, 1509, 2238, 3669, 5139, 5795, 6595, 8224, 1017, 1116, 2848, 3751, 4717, 6126, 6383, 8194, 493, 1653, 2979, 3232, 4995, 5889, 6226, 8128, 730, 1108, 2751, 3889, 4802, 5480, 7231, 7637, 952, 1555, 2410, 3265, 5091, 5983, 6442, 7442, 103, 2107, 2210, 3548, 4417, 5721, 6997, 7478, 1097, 1752, 3064, 3205, 4557, 5294, 6588, 7776, 818, 2068, 2949, 3891, 5038, 5210, 7207, 7557, 105, 1304, 2988, 4115, 4437, 5886, 6443, 7563, 225, 2034, 3064, 3777, 4622, 5650, 6966, 7252, 225, 1289, 2833, 3838, 5079, 5493, 6338, 7838, 757, 1289, 2656, 3900, 4329, 5836, 6715, 7932, 216, 2106, 2885, 3731, 4225, 5212, 6755, 7537, 459, 1820, 2251, 3298, 4602, 5276, 6725, 7728, 459, 1442, 2251, 3219, 4598, 5415, 7192, 7954, 620, 1832, 2370, 3790, 4285, 5353, 7094, 7980, 1024, 1918, 2238, 3790, 4604, 5697, 7090, 8156, 1059, 1660, 2759, 3485, 4705, 6181, 6627, 7516, 228, 1458, 2724, 3588, 4834, 5694, 6736, 8171, 518, 1430, 2398, 3824, 5034, 6113, 7173, 7254, 654, 1182, 2360, 3376, 4470, 6110, 6895, 7664, 518, 1406, 3032, 3586, 5048, 5557, 6668, 8191, 453, 1333, 2976, 4157, 5120, 5765, 7235, 8254, 708, 1942, 3079, 3182, 4219, 5590, 6696, 7782, 211, 1831, 2432, 3811, 4983, 6215, 7048, 7476, 160, 1640, 2655, 3516, 4539, 5624, 7065, 7823, 390, 1553, 2327, 3442, 4289, 5610, 6464, 7916, 103, 1944, 2741, 4079, 5183, 5202, 6224, 8086, 211, 1685, 2421, 3159, 4841, 5587, 6740, 7745, 779, 1768, 2484, 4025, 4209, 5202, 6612, 8061, 183, 1747, 2432, 3570, 5134, 5737, 7017, 7275, 568, 1147, 2809, 3603, 4433, 5904, 6689, 8156, 225, 1570, 2971, 3798, 4495, 5837, 7120, 7262, 654, 1695, 2971, 4111, 5182, 6142, 7207, 7563, 654, 1332, 2316, 3535, 4859, 5296, 6605, 8236, 228, 2060, 2806, 3931, 5138, 6205, 7024, 8214, 240, 1851, 3048, 3914, 4700, 5923, 7168, 7706, 240, 2002, 2356, 3535, 5088, 6175, 7120, 8147, 240, 1525, 3133, 3376, 5086, 5594, 7058, 7664, 518, 1750, 2833, 3838, 4638, 5514, 6615, 7720, 543, 1201, 2359, 3951, 5075, 5901, 6909, 7592, 356, 2097, 2716, 3870, 4329, 5385, 6272, 7660, 223, 1981, 2848, 3470, 4335, 5695, 6235, 8262, 154, 1838, 3003, 3286, 4214, 5891, 6948, 7622, 339, 1106, 2348, 3729, 4348, 5347, 6663, 7608, 917, 2050, 2902, 3445, 4668, 5414, 6234, 7968, 235, 1669, 3097, 3295, 4787, 5991, 6348, 8134, 235, 1919, 2441, 4078, 4672, 5746, 6670, 7962, 531, 1179, 2693, 3508, 5069, 6098, 6494, 7867, 693, 1469, 2349, 3700, 4259, 5919, 6762, 8078, 736, 1633, 2698, 3295, 4357, 5372, 7142, 7875, 693, 1582, 2583, 4073, 4833, 5945, 6915, 7805, 265, 1379, 3010, 3219, 4547, 5865, 6894, 7568, 981, 1379, 2658, 3219, 4995, 6094, 6492, 7812, 575, 1510, 2796, 3433, 5134, 5447, 6651, 7786, 996, 1164, 2734, 3714, 4220, 6140, 6402, 7737, 692, 1570, 3120, 3741, 4594, 5742, 6393, 7710, 504, 1286, 2924, 3424, 4555, 5509, 6340, 7795, 678, 1660, 2440, 3540, 4705, 5824, 6443, 7882, 955, 1944, 2298, 3537, 4746, 5981, 7220, 7962, 610, 1141, 2887, 3660, 4426, 5663, 7097, 8095, 1090, 1770, 2783, 3271, 4622, 5216, 7160, 7421, 390, 1770, 2508, 3201, 5115, 6094, 6646, 7557, 940, 1139, 2989, 3983, 5085, 5684, 6830, 7717, 1011, 1299, 2989, 3475, 4620, 5657, 6890, 7856, 844, 1507, 2629, 3855, 4483, 5313, 6348, 7989, 955, 1623, 3061, 3238, 4757, 5478, 6614, 7466, 571, 1635, 2542, 3990, 4287, 5678, 7010, 8016, 225, 1758, 2359, 4026, 4816, 5584, 7003, 8213, 225, 2127, 2775, 3376, 4648, 5580, 7090, 7397, 225, 1424, 2542, 3359, 4644, 5677, 7152, 7913, 225, 2061, 3068, 3844, 4541, 6101, 7090, 8261, 228, 1525, 2566, 3592, 4918, 5493, 7103, 8076, 228, 1108, 2858, 3674, 4398, 6015, 6291, 8080, 256, 1468, 2734, 3782, 4918, 5514, 6485, 7706, 789, 1345, 2941, 3851, 4536, 5609, 6251, 7838, 105, 1147, 2941, 3374, 5075, 5635, 7232, 7485, 617, 1147, 3018, 3374, 5159, 6057, 6612, 8266, 541, 1510, 2529, 3662, 4186, 5339, 6615, 7476, 541, 1758, 2395, 3771, 5097, 5650, 7024, 8266, 153, 1509, 3133, 4021, 4849, 5385, 7120, 7436, 685, 1324, 2763, 4096, 5139, 6051, 6892, 8260, 386, 1324, 2161, 3233, 4993, 5292, 7047, 7783, 1029, 1302, 2378, 3878, 4615, 6177, 6507, 7753, 314, 1286, 2734, 3711, 4321, 5976, 7062, 7904, 884, 1164, 2175, 3962, 4578, 5228, 6735, 7926, 986, 1717, 2897, 4080, 4215, 5745, 6235, 8169, 1081, 1674, 3126, 3521, 4604, 5504, 7230, 7488, 288, 1948, 2923, 3383, 4437, 5223, 6732, 7983, 940, 1858, 2203, 3391, 4651, 5223, 6752, 7570, 211, 1858, 3008, 4027, 4700, 6058, 6551, 8179, 288, 1809, 2946, 3472, 5106, 5586, 6810, 7948, 211, 2001, 3064, 4096, 4573, 5349, 7207, 8076, 1099, 2001, 2803, 4145, 4822, 5963, 7132, 8066, 818, 1963, 3008, 3990, 5058, 5241, 6589, 8267, 419, 2127, 2806, 3990, 5088, 5883, 6604, 7732, 228, 1264, 3000, 3550, 4859, 5892, 6810, 7303, 654, 1286, 2181, 3933, 4399, 5514, 7239, 8216, 518, 1570, 2659, 3966, 5053, 6205, 6988, 7563, 654, 1289, 2718, 3646, 5120, 5436, 6772, 8080, 225, 1750, 2316, 4125, 4638, 5963, 6757, 7693, 183, 1332, 2669, 3891, 5190, 5962, 7232, 7816, 419, 1528, 2970, 3376, 4344, 5935, 6810, 7664, 555, 2017, 2554, 3470, 4870, 5241, 7129, 7865, 945, 1528, 2806, 4071, 5138, 6081, 6752, 7485, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 201, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8196, 818, 1648, 2914, 3893, 4798, 6186, 6752, 8196, 555, 1528, 3006, 3914, 4387, 6085, 7152, 8260, 555, 1684, 2833, 3825, 4512, 5534, 7239, 8126, 555, 1684, 3064, 4171, 4512, 6081, 7152, 8147, 555, 1648, 3021, 3391, 4798, 5550, 6752, 7485, 555, 1648, 2554, 3827, 5007, 5811, 6996, 7485, 915, 1468, 2833, 4071, 5193, 5219, 6996, 8080, 555, 1147, 2164, 3891, 4512, 5635, 7077, 8196, 555, 1648, 3021, 3777, 5007, 5219, 6752, 8076, 555, 1648, 2833, 3777, 4622, 5677, 6604, 7766, 555, 2111, 2554, 3374, 4583, 6137, 6772, 7716, 555, 2111, 3064, 3391, 5060, 5550, 6752, 8080, 555, 1468, 2164, 4153, 4859, 5586, 7084, 7664, 555, 2111, 2554, 3374, 4822, 5635, 7069, 7732, 4, 2 ]

[ 1, 76, 48, 5, 76, 45, 52, 5, 42, 57, 5, 66, 73, 5, 20, 52, 5, 76, 26, 52, 63, 16, 62, 24, 64, 44, 55, 5, 51, 17, 54, 66, 63, 47, 78, 5, 5, 3, 186, 2088, 3144, 3891, 5159, 5305, 7239, 8147, 484, 2088, 2806, 3932, 5060, 5635, 7098, 7706, 337, 2032, 2860, 4068, 4980, 5241, 6891, 7500, 186, 2032, 2493, 4068, 5159, 6182, 6953, 8093, 142, 1622, 2806, 4174, 4704, 5901, 6996, 8147, 142, 1528, 2914, 3893, 4366, 5241, 7077, 8223, 915, 1381, 2806, 3914, 5080, 5635, 7006, 8223, 955, 1827, 2960, 4166, 4215, 6205, 6972, 7918, 271, 1315, 2965, 3400, 5012, 6050, 7237, 7492, 547, 1674, 2295, 4110, 4477, 5380, 7008, 7767, 668, 1723, 2387, 4139, 4807, 5279, 6658, 8226, 234, 1299, 3080, 3756, 4189, 5624, 6377, 7921, 137, 1510, 2867, 3731, 4434, 5396, 6240, 8114, 315, 1299, 2867, 4057, 4862, 5652, 7227, 7494, 344, 1305, 2867, 3233, 4799, 5803, 6710, 7487, 722, 2050, 2868, 4128, 5106, 5914, 6644, 7305, 216, 1972, 2137, 3557, 4361, 5333, 7181, 7344, 1047, 1499, 2360, 4168, 4239, 5515, 6985, 7570, 948, 1363, 2554, 3856, 4215, 5534, 6677, 7865, 1024, 1305, 2137, 3378, 4971, 5395, 6474, 7638, 547, 1503, 2137, 3393, 5032, 5441, 6796, 8000, 92, 1199, 2934, 4128, 4873, 5836, 7190, 7903, 332, 1814, 2137, 3817, 4298, 6020, 6706, 7950, 547, 2067, 2137, 3293, 4459, 5863, 6615, 8167, 779, 1886, 2137, 4073, 5120, 5975, 6623, 7264, 684, 1173, 2254, 3826, 4334, 5793, 6776, 7508, 512, 1773, 3144, 3962, 5073, 5515, 7120, 8078, 512, 2046, 2167, 3540, 4912, 6051, 7201, 8236, 401, 1964, 3095, 3352, 4630, 5752, 7114, 8030, 271, 1396, 2646, 3573, 5150, 5840, 6443, 7270, 538, 1828, 2311, 3457, 4440, 6183, 6379, 7516, 332, 1531, 2395, 3401, 4760, 6096, 6519, 8167, 1036, 1305, 2680, 3552, 4416, 5477, 6706, 8000, 864, 1843, 2137, 3500, 4994, 5362, 6706, 7405, 668, 1469, 2464, 3654, 4621, 6031, 6344, 7820, 1008, 1691, 2137, 3843, 4729, 6077, 7198, 7593, 938, 1838, 2321, 3227, 4545, 5851, 6894, 7649, 779, 1770, 2282, 3767, 5003, 5677, 6834, 8006, 833, 1141, 2321, 3426, 5125, 5555, 6338, 7284, 403, 1809, 3026, 4107, 5088, 5921, 6296, 7878, 818, 1467, 2899, 3206, 5058, 5219, 7239, 7706, 427, 1992, 3128, 4174, 5061, 6014, 7006, 7677, 757, 1964, 2860, 3188, 4849, 6175, 7237, 7485, 195, 1695, 2593, 4141, 4275, 6217, 7090, 7992, 757, 1552, 2328, 3588, 4282, 5609, 6680, 8079, 373, 1281, 3043, 3928, 4470, 5219, 6988, 8149, 392, 1972, 2429, 3732, 4546, 5500, 6844, 7822, 1008, 1723, 2309, 3159, 4830, 5946, 7008, 7781, 1011, 1318, 3061, 3464, 4477, 6000, 7030, 8157, 678, 1874, 2224, 3371, 4859, 5337, 6725, 8267, 1051, 1315, 2866, 3931, 4181, 5832, 6467, 7547, 427, 1812, 2326, 4146, 4870, 5204, 6771, 8185, 427, 1363, 2957, 4011, 4856, 5630, 6979, 7473, 186, 1175, 3007, 3710, 4630, 6085, 7006, 7631, 935, 2017, 2925, 3909, 4798, 6081, 6786, 8196, 935, 1856, 2746, 3866, 4798, 6205, 7132, 7720, 1051, 2032, 2984, 4085, 5080, 5288, 7230, 7591, 110, 2028, 2985, 3361, 5171, 6222, 7158, 7720, 371, 1418, 2369, 3345, 4829, 6121, 6265, 8064, 1103, 1215, 2361, 3182, 5188, 5500, 6426, 7337, 876, 1325, 2692, 3868, 4852, 6015, 6925, 7747, 748, 1270, 2361, 4013, 4271, 5568, 6458, 8189, 1017, 1325, 2835, 3890, 4383, 5695, 6351, 7502, 302, 1213, 2648, 3419, 4606, 5480, 6685, 8208, 775, 1542, 2861, 3433, 4444, 5448, 6256, 8251, 763, 1988, 2198, 3868, 4446, 5253, 6395, 7990, 763, 1530, 2347, 3577, 4678, 6126, 6628, 7360, 472, 1205, 2260, 3432, 4748, 6145, 6490, 7746, 1030, 1621, 2189, 3924, 4410, 6158, 6390, 7997, 1030, 1912, 2612, 3179, 4642, 5409, 6637, 7827, 938, 2124, 2827, 3239, 4887, 5881, 6995, 8010, 235, 1691, 2782, 3924, 4966, 5945, 6672, 7274, 736, 1543, 2198, 4015, 4531, 5512, 6466, 8131, 888, 1469, 3018, 3474, 4866, 5894, 6383, 7680, 917, 1469, 2349, 4130, 4518, 5960, 6944, 7924, 333, 2120, 2189, 3880, 4640, 6042, 7057, 7318, 917, 1179, 2191, 3790, 4315, 5512, 7208, 7796, 876, 1469, 2727, 4126, 4591, 5970, 6878, 8149, 150, 1969, 2173, 3187, 4772, 5722, 6346, 7623, 1022, 2036, 3146, 3790, 5027, 5917, 6579, 7797, 1030, 1919, 2175, 3536, 4445, 5512, 6834, 7263, 776, 1469, 2796, 3778, 4855, 5985, 6599, 7814, 1022, 1939, 2822, 3429, 4604, 5976, 7103, 7864, 1016, 1326, 2307, 3869, 4722, 6118, 7236, 8088, 961, 1581, 3047, 3239, 4304, 5923, 7022, 8085, 1022, 1897, 2493, 3566, 4805, 5542, 6653, 7255, 110, 2003, 2498, 4133, 4274, 5999, 7213, 7452, 951, 1475, 2998, 3742, 5139, 5285, 6972, 7485, 833, 2028, 2984, 3793, 5096, 6075, 6820, 7720, 337, 1833, 3006, 3671, 4867, 5410, 7149, 7528, 132, 1963, 3007, 3803, 4287, 5630, 6750, 7807, 488, 2064, 2880, 3886, 5080, 5901, 7201, 8245, 186, 2017, 2746, 3803, 4782, 5661, 7111, 7723, 186, 2017, 2746, 3201, 5038, 6186, 7218, 8076, 935, 2017, 3095, 3825, 4822, 5241, 7077, 7766, 186, 2111, 3065, 3825, 5165, 5630, 7218, 7806, 186, 1528, 2164, 3893, 4387, 6081, 7124, 7876, 555, 2111, 2164, 3440, 4512, 5219, 7069, 7806, 555, 2111, 2554, 4171, 4890, 5901, 7218, 8076, 555, 2065, 2164, 4171, 5060, 5963, 6584, 8179, 186, 2073, 2164, 3825, 4624, 5635, 7077, 7948, 186, 2017, 2340, 3803, 4798, 6081, 7226, 8223, 337, 2017, 2164, 4171, 4624, 5241, 7077, 7290, 186, 1833, 2914, 3893, 4781, 5901, 6996, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4798, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3825, 4624, 6081, 7124, 7766, 756, 1874, 2951, 3843, 5166, 5740, 7041, 8107, 775, 1542, 2951, 3415, 4706, 6042, 6367, 7813, 1074, 1127, 2693, 3830, 4354, 5615, 6731, 7810, 829, 1542, 2431, 3856, 4550, 5970, 7194, 8046, 556, 1667, 2286, 3475, 4758, 5363, 6718, 7592, 98, 1641, 2437, 3598, 5023, 6018, 6780, 7265, 964, 1955, 2993, 4120, 4358, 5906, 6430, 7546, 1008, 1205, 2255, 3702, 4413, 6147, 7212, 7734, 992, 1582, 2141, 3430, 4350, 5338, 6438, 7783, 1038, 1672, 2564, 3427, 4455, 5375, 6640, 7663, 692, 2059, 3089, 3861, 4857, 5443, 6470, 8131, 1080, 1331, 2788, 3672, 4774, 5223, 6659, 7405, 1036, 1826, 2552, 3707, 4467, 6101, 6969, 8169, 862, 1858, 2570, 3943, 5118, 5993, 6672, 8216, 864, 1826, 2310, 3380, 4335, 5781, 6963, 7379, 668, 1828, 2384, 3611, 4237, 5361, 7159, 8252, 692, 1199, 2899, 3991, 5014, 5624, 6367, 7718, 938, 2043, 2316, 3607, 4887, 5437, 6765, 7787, 864, 2043, 2137, 3902, 5138, 6222, 7106, 7704, 1024, 2050, 3119, 3877, 4274, 6087, 6281, 8250, 1024, 1926, 2985, 4128, 4338, 6172, 6400, 8000, 547, 1440, 2592, 3411, 5096, 5687, 6762, 7873, 970, 1521, 2998, 3420, 4245, 5424, 6351, 8226, 970, 2035, 2785, 3556, 5079, 5631, 6966, 7360, 512, 1475, 3135, 3487, 4803, 6030, 7230, 7498, 1097, 2068, 2838, 4071, 4980, 5832, 7217, 7557, 186, 1992, 2164, 3945, 4912, 5241, 7218, 8179, 186, 1992, 2781, 3226, 5060, 5883, 7201, 8223, 186, 1992, 2781, 3825, 5058, 6085, 6852, 8260, 186, 1847, 2803, 3367, 4630, 6025, 6996, 8196, 415, 1965, 3147, 4103, 4419, 6184, 6790, 7256, 878, 1141, 2729, 3648, 4265, 5832, 7085, 7778, 166, 1141, 2912, 3487, 4801, 5783, 6524, 7939, 840, 2091, 2440, 3986, 4826, 6089, 7096, 7456, 975, 2059, 2161, 3768, 4878, 5589, 6533, 7939, 737, 1586, 2519, 3672, 4543, 5818, 6857, 7577, 585, 1948, 2215, 3305, 4651, 5811, 6679, 7591, 1102, 1806, 2422, 4055, 5151, 5576, 6895, 7670, 684, 1403, 2895, 3785, 4877, 5378, 6776, 7664, 684, 1581, 2801, 4114, 4630, 5210, 7090, 7717, 684, 1620, 2820, 3990, 4551, 5942, 7077, 7887, 288, 1945, 3043, 3982, 5101, 5694, 6668, 7764, 868, 1692, 3116, 3298, 4273, 5844, 6986, 7962, 271, 1164, 2506, 3909, 4664, 6163, 6683, 7962, 692, 1234, 2156, 3395, 4565, 5410, 6554, 8109, 504, 1509, 2163, 4102, 4667, 6010, 7112, 7402, 223, 1407, 2330, 3245, 4429, 5624, 7019, 8256, 643, 1305, 2137, 3675, 4912, 5873, 6777, 7331, 1025, 1499, 2515, 4106, 4427, 5216, 6234, 7468, 678, 1682, 2282, 3822, 4862, 5844, 6584, 8203, 887, 1826, 2678, 3695, 4799, 5768, 6689, 7679, 715, 2002, 2678, 3640, 4651, 5504, 7230, 8222, 225, 1570, 2792, 3366, 4732, 5914, 6520, 7813, 127, 2002, 3105, 4145, 4576, 5960, 6749, 7965, 518, 2002, 2941, 3564, 4181, 5716, 7207, 7532, 518, 1524, 2775, 3595, 4583, 5844, 7239, 7715, 228, 1304, 2992, 3900, 5167, 5844, 6331, 8080, 228, 2061, 3147, 3277, 4954, 5385, 7152, 7303, 513, 2061, 2542, 3277, 4654, 5590, 6717, 8267, 216, 1508, 2833, 3376, 4918, 5835, 7052, 7488, 1067, 1807, 2448, 3191, 5110, 6179, 6224, 7826, 363, 1561, 2455, 3517, 4459, 5656, 6663, 7490, 1004, 1550, 3003, 4132, 4669, 5322, 6403, 7468, 737, 1550, 3080, 4025, 4392, 5734, 6334, 7641, 582, 1653, 2661, 3394, 4321, 5218, 7061, 8129, 1025, 1141, 2867, 3642, 4415, 5350, 6383, 7646, 223, 2068, 2661, 4152, 5129, 5286, 6625, 7508, 1029, 1633, 2726, 4096, 4697, 5993, 6239, 7941, 887, 1269, 2365, 4027, 4743, 5589, 6538, 7976, 504, 1269, 2534, 3233, 5117, 6158, 7026, 8165, 1025, 1494, 2163, 3771, 4455, 5765, 7004, 8126, 271, 1708, 2868, 3615, 5193, 6063, 7065, 7868, 1025, 1379, 2429, 3771, 4379, 5527, 6426, 7383, 424, 1989, 2429, 4152, 4912, 6085, 6871, 7607, 308, 2000, 3007, 3932, 4993, 5259, 7010, 7806, 555, 2073, 2728, 4145, 4700, 6182, 6702, 8195, 427, 2084, 3092, 3201, 5080, 5413, 6830, 8267, 252, 1895, 3068, 3996, 4934, 5751, 6747, 7248, 617, 1684, 3105, 3917, 4638, 5824, 6528, 8130, 1102, 1421, 2771, 3552, 4691, 5378, 7149, 7393, 247, 1407, 2959, 3596, 4809, 5796, 7118, 7661, 602, 1151, 2436, 3448, 4466, 6020, 7001, 8022, 557, 1720, 3016, 3483, 4612, 5512, 6244, 7360, 896, 2101, 3055, 3323, 4800, 5223, 7140, 8149, 884, 2009, 2132, 3295, 5151, 6126, 6403, 7735, 1025, 1676, 2794, 3978, 4513, 5325, 6932, 7481, 271, 1510, 2519, 3793, 4717, 6123, 6525, 8227, 104, 1797, 2678, 3908, 5088, 6175, 7154, 8185, 104, 1797, 2678, 3901, 5070, 5825, 6393, 8047, 1025, 1349, 2429, 3457, 4426, 5978, 6820, 7927, 424, 1510, 3130, 3361, 4186, 5958, 6860, 7927, 308, 2111, 2369, 3771, 5073, 6146, 7090, 7992, 579, 2106, 3026, 3603, 4303, 5641, 6702, 7528, 874, 1971, 2181, 3795, 4983, 5672, 6734, 7574, 878, 1758, 2542, 3891, 5145, 5428, 6909, 7410, 757, 1758, 2991, 3880, 4863, 5792, 6786, 7524, 617, 2065, 2440, 4123, 4925, 5340, 6650, 7410, 859, 2065, 2783, 3662, 4801, 5981, 7103, 8066, 304, 1403, 2724, 3886, 4764, 5481, 7129, 8194, 891, 1510, 2963, 3402, 4229, 5911, 6520, 7494, 895, 1118, 3116, 3815, 5169, 5965, 6820, 7737, 992, 1349, 2610, 3687, 5089, 5490, 6500, 7438, 139, 1541, 2941, 3421, 5193, 5721, 6557, 7551, 995, 1186, 2480, 3416, 4571, 6178, 6816, 7898, 103, 2067, 2608, 3751, 5155, 6181, 6610, 8009, 103, 2067, 3038, 3873, 4224, 5548, 6444, 8061, 103, 2067, 2346, 3887, 4775, 5462, 6348, 7680, 103, 1120, 2346, 3217, 4437, 6041, 7059, 7980, 103, 2107, 2346, 3454, 4844, 6084, 7237, 7477, 103, 1931, 2346, 3352, 4949, 5962, 6963, 7617, 103, 1867, 2791, 4166, 4556, 5988, 6642, 7930, 103, 1847, 2346, 3658, 4379, 5828, 6567, 8183, 951, 1363, 2327, 3723, 4533, 5390, 6757, 7277, 1056, 1992, 2327, 3391, 5165, 5580, 6340, 8236, 288, 1834, 2837, 3838, 4261, 5678, 6382, 7838, 427, 1620, 2941, 3838, 4782, 6137, 6302, 7303, 789, 1791, 2210, 3217, 4189, 5381, 6840, 7538, 256, 1652, 2616, 3592, 4555, 5749, 6551, 7476, 228, 1332, 2970, 4125, 4850, 5503, 6963, 8262, 228, 1490, 2725, 4073, 4775, 5650, 6988, 8093, 228, 1750, 2335, 3550, 4329, 5493, 6671, 7723, 228, 1623, 2833, 3586, 4580, 6110, 6889, 7715, 228, 1332, 2487, 3586, 5138, 5372, 7120, 7660, 240, 1434, 2340, 3951, 5168, 5438, 6810, 7485, 543, 1851, 2596, 4125, 4700, 5792, 6979, 7563, 419, 1684, 2554, 3291, 4715, 5438, 6338, 7838, 818, 1623, 2833, 3391, 4862, 5534, 6889, 8076, 797, 1528, 2833, 3914, 5060, 5514, 7124, 7303, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8196, 201, 1528, 2806, 3893, 4704, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 76, 45, 31, 5, 20, 52, 5, 31, 33, 63, 5, 64, 16, 52, 45, 64, 44, 66, 74, 30, 5, 5, 3, 797, 1648, 2781, 4174, 4704, 6211, 6709, 8147, 186, 2073, 3143, 3825, 4888, 6081, 7006, 7766, 488, 2032, 2164, 4068, 4704, 6139, 7124, 8196, 488, 1622, 2164, 4174, 5061, 5635, 7124, 8147, 510, 1668, 3143, 4071, 5038, 5832, 7124, 7723, 767, 2069, 2903, 3993, 5044, 5911, 7084, 7716, 166, 1527, 3151, 4005, 4545, 5613, 7080, 8268, 1004, 1966, 2207, 3399, 4565, 5557, 7096, 7503, 734, 1299, 2187, 3751, 4364, 6116, 6933, 7683, 399, 2059, 2583, 3581, 4364, 6055, 6625, 7994, 211, 1614, 2895, 3555, 4654, 5515, 6443, 7994, 684, 1897, 2975, 3891, 4983, 5210, 7207, 7288, 715, 1906, 3008, 3826, 4844, 5366, 7114, 8096, 1040, 1770, 2826, 3960, 4945, 5962, 6382, 7367, 83, 1740, 2483, 3596, 4203, 5269, 6539, 7542, 83, 1582, 2536, 3915, 4485, 5801, 7070, 7748, 344, 1582, 2973, 3184, 4483, 5332, 6965, 7963, 344, 1582, 2973, 4034, 4465, 5347, 6974, 7816, 83, 1721, 3090, 3779, 4748, 5668, 7101, 7369, 736, 1179, 2933, 4084, 4495, 5397, 6507, 7527, 917, 1633, 2842, 3685, 4953, 6126, 7140, 7303, 223, 1950, 3121, 4130, 5036, 5345, 6382, 7873, 339, 1779, 3090, 3343, 4814, 6019, 7053, 7843, 938, 1679, 2951, 3384, 4687, 5819, 6568, 8071, 938, 1156, 2951, 4087, 4406, 5362, 6469, 7527, 864, 1679, 2985, 3486, 4571, 6202, 6735, 7846, 277, 1152, 2605, 3567, 4911, 5970, 6409, 7900, 547, 1912, 2822, 3854, 4545, 5287, 6974, 7271, 277, 1997, 2680, 4155, 4678, 5257, 6293, 7598, 1008, 1922, 3011, 3254, 4205, 6208, 6234, 7728, 277, 1848, 2577, 3420, 5124, 5909, 6354, 7422, 1008, 1793, 2152, 3464, 5128, 5362, 6255, 8026, 1024, 1469, 2425, 3372, 4689, 6031, 6347, 8071, 1008, 1996, 2154, 3254, 5123, 6107, 6638, 7820, 512, 1833, 2137, 3819, 5135, 5848, 6761, 7949, 304, 2088, 2970, 4113, 4912, 6032, 6935, 7806, 537, 2073, 2803, 4113, 5092, 5840, 6254, 8080, 620, 1171, 2352, 3251, 5049, 5540, 6241, 7927, 498, 2118, 2282, 3571, 4702, 5589, 7227, 7712, 862, 1283, 2546, 3623, 5083, 5423, 6545, 7712, 668, 1283, 2550, 3492, 4942, 5298, 6469, 7678, 1019, 1755, 2725, 3159, 4964, 5828, 6498, 7825, 862, 1269, 2796, 3500, 4320, 6171, 7140, 7649, 1088, 1812, 2692, 3261, 4846, 5829, 6859, 7965, 756, 1981, 2221, 4112, 4872, 5574, 7115, 7468, 576, 1597, 2348, 3528, 4484, 5325, 7025, 7832, 225, 2067, 3006, 3900, 4267, 6007, 7069, 8262, 654, 1826, 2792, 3298, 4638, 5521, 6512, 7992, 518, 1621, 2359, 3470, 5157, 5624, 6414, 7965, 654, 1175, 2316, 3188, 5182, 5589, 7129, 7485, 228, 2111, 2316, 3933, 4715, 5519, 7188, 7313, 518, 1183, 2875, 4124, 4715, 5901, 7063, 7927, 568, 1503, 2287, 3376, 4870, 5590, 6889, 7303, 256, 1345, 3032, 3440, 4344, 5974, 6309, 8209, 1088, 1373, 3049, 3552, 5120, 6028, 6704, 7705, 664, 1509, 3090, 3941, 4720, 5787, 6530, 7542, 1036, 2050, 2455, 3794, 4621, 6183, 7068, 8047, 864, 1740, 2227, 3356, 4831, 5828, 6855, 8204, 864, 1183, 2796, 3356, 4651, 5697, 6449, 7596, 1047, 1183, 2710, 3429, 4807, 5475, 6592, 7497, 216, 1585, 2321, 4128, 5137, 5516, 6234, 7808, 942, 1596, 2365, 3394, 4533, 5431, 6677, 7629, 940, 1596, 2678, 4093, 5019, 5719, 6388, 7341, 927, 1719, 2798, 3680, 4609, 5599, 6966, 7402, 725, 1252, 3053, 4128, 4811, 5992, 6974, 7954, 862, 1206, 2595, 3755, 4813, 5504, 6909, 7955, 1101, 1265, 2871, 3727, 4364, 5957, 6909, 7451, 1062, 2127, 2956, 3761, 4859, 5320, 6239, 7865, 317, 1850, 2271, 4089, 4344, 5350, 7154, 8111, 195, 1716, 2239, 3457, 4321, 5565, 6529, 7477, 225, 2060, 2244, 4074, 5083, 5413, 7127, 7477, 518, 1749, 2453, 3645, 5079, 5527, 6977, 7706, 654, 2088, 2359, 3803, 4622, 5223, 7090, 7831, 228, 1140, 2359, 3933, 5143, 5586, 6895, 7831, 183, 1851, 2359, 3914, 4398, 5202, 7129, 7723, 571, 1490, 3135, 3931, 5104, 5372, 6840, 7778, 402, 1453, 3090, 4166, 4611, 5574, 6560, 7398, 668, 1349, 3031, 4030, 4307, 5965, 6650, 7405, 1059, 1554, 2871, 4015, 4562, 5873, 6865, 7393, 804, 1915, 2910, 3803, 4923, 6171, 6776, 7706, 818, 1869, 3022, 3516, 5159, 5378, 7201, 7782, 935, 2068, 2957, 3990, 5058, 5677, 6752, 8179, 935, 2000, 2957, 3866, 4822, 5635, 6709, 8083, 859, 1750, 2991, 3904, 5080, 5678, 7111, 8076, 1020, 1491, 2398, 3681, 4571, 5677, 7140, 7452, 699, 1375, 2359, 3286, 4310, 6195, 6687, 7803, 568, 1695, 2210, 3564, 4716, 6048, 7160, 8185, 617, 1623, 2608, 3391, 4489, 5723, 7010, 7717, 304, 1373, 2175, 4071, 5135, 5865, 6840, 8267, 716, 1323, 2336, 3358, 4895, 5216, 6612, 7498, 504, 1732, 3150, 4155, 4709, 5981, 7163, 7877, 784, 1717, 2309, 3582, 4717, 5824, 6670, 7524, 150, 2059, 2924, 3268, 4607, 5316, 6986, 7622, 826, 2059, 2321, 3524, 4990, 5781, 6614, 8033, 993, 1655, 3126, 3785, 5017, 5633, 6876, 7436, 993, 1777, 2691, 3358, 4635, 6074, 7229, 7976, 1029, 1468, 2655, 3859, 4324, 5663, 6560, 8188, 1025, 2117, 2207, 3618, 4861, 5651, 6856, 8092, 1025, 2117, 2207, 3618, 5196, 6119, 7072, 8210, 1029, 1399, 3092, 3600, 4635, 5403, 6498, 7358, 1029, 1205, 3066, 3946, 4770, 5425, 7041, 7704, 1029, 1655, 3066, 3515, 4896, 5750, 6393, 8174, 993, 1141, 2484, 3937, 4292, 5944, 7053, 7829, 993, 1141, 2482, 4043, 4881, 5344, 6763, 8112, 940, 2002, 2258, 4027, 4278, 5865, 7229, 8036, 684, 1299, 2708, 3945, 4762, 6063, 6430, 7948, 304, 2079, 3033, 3391, 5145, 5219, 6579, 8179, 390, 1881, 3008, 4145, 4533, 5761, 6752, 8260, 480, 1388, 2214, 3353, 5150, 6077, 6968, 8139, 876, 1369, 2271, 3720, 4620, 5614, 6277, 8210, 992, 1349, 2271, 3513, 4364, 5797, 6769, 7547, 356, 2107, 2361, 3761, 4675, 5706, 7039, 8066, 488, 2068, 2970, 3277, 5106, 5911, 7201, 7641, 1097, 2079, 2944, 3982, 4980, 5630, 6515, 8261, 935, 1856, 3007, 3982, 5165, 6146, 7207, 7720, 935, 2091, 2820, 4068, 4870, 5436, 7047, 8147, 356, 1871, 2833, 4006, 4790, 6103, 6980, 7349, 617, 1930, 2970, 3931, 5104, 6149, 6338, 8164, 757, 1750, 2718, 4149, 5159, 5811, 6776, 8213, 4, 2 ]

[ 1, 64, 57, 5, 31, 14, 66, 5, 45, 66, 5, 43, 14, 78, 5, 54, 57, 5, 62, 23, 35, 5, 66, 73, 5, 44, 51, 64, 62, 14, 54, 30, 5, 16, 54, 30, 5, 66, 39, 51, 5, 44, 54, 5, 33, 54, 47, 67, 46, 55, 5, 33, 52, 64, 5, 5, 3, 228, 2098, 3084, 4125, 4576, 5605, 6551, 8093, 654, 1332, 2775, 3394, 4877, 5908, 6816, 8261, 654, 1935, 2792, 3391, 4715, 5590, 7024, 7774, 228, 2127, 2833, 3851, 4700, 5218, 7129, 8130, 654, 1345, 2833, 3487, 4522, 5241, 6671, 7846, 225, 1386, 3000, 3297, 5075, 6149, 6736, 7753, 613, 1806, 2573, 3786, 4829, 5802, 6713, 7563, 166, 1323, 3018, 3395, 4589, 6101, 6296, 7498, 223, 1490, 2959, 3656, 5100, 6135, 7204, 8045, 803, 1393, 2706, 3802, 4663, 5745, 6574, 8111, 1016, 1393, 2868, 3924, 4640, 5526, 6614, 7442, 961, 1393, 3092, 3587, 4278, 5934, 6476, 7684, 1011, 1407, 2461, 3728, 4206, 6077, 6896, 7735, 887, 1233, 2599, 3485, 4601, 5905, 6654, 7968, 887, 1233, 3047, 3793, 4402, 5432, 6547, 8264, 887, 1233, 3038, 3201, 5079, 5874, 7015, 8189, 304, 1492, 3150, 3977, 4912, 6135, 6367, 7428, 390, 1898, 3008, 4166, 5165, 5749, 6671, 8260, 715, 1597, 2895, 4151, 4212, 5678, 6607, 7476, 857, 1452, 2503, 3540, 4651, 5903, 7166, 8028, 788, 1410, 3091, 4154, 4344, 5974, 6443, 7408, 840, 1557, 2586, 3993, 5110, 5610, 6612, 7951, 271, 1507, 2871, 3356, 5026, 5594, 6224, 7349, 875, 2118, 2314, 4130, 4571, 5756, 6745, 7521, 888, 2008, 3105, 3368, 5154, 5570, 6476, 8190, 952, 1349, 3029, 3262, 4305, 5914, 6566, 8114, 288, 1496, 2238, 3169, 4721, 5297, 6613, 7336, 1056, 1349, 2762, 3452, 4276, 5481, 7086, 7778, 405, 1349, 3064, 3671, 5129, 5777, 6412, 7682, 356, 2055, 2727, 3277, 4536, 6063, 7111, 8126, 844, 1924, 2239, 3201, 4912, 6163, 7207, 7706, 1025, 1496, 3037, 3973, 4896, 5889, 7237, 7584, 271, 1496, 2746, 3563, 5138, 5585, 6984, 8215, 844, 1349, 2444, 3992, 4895, 5811, 6592, 7559, 356, 1945, 2746, 3832, 4289, 5923, 7222, 8169, 105, 1623, 2542, 3253, 4225, 5514, 6733, 8126, 317, 1623, 2880, 3540, 5193, 6220, 6515, 7658, 256, 2078, 3149, 3990, 4580, 6203, 6669, 7252, 183, 1684, 2996, 4092, 4890, 5515, 6671, 7732, 833, 1684, 2560, 3891, 5160, 5911, 6540, 7782, 891, 2042, 2839, 3602, 4978, 5750, 7184, 7449, 1052, 1794, 2869, 3915, 5160, 5657, 6898, 7987, 1052, 1605, 2839, 3770, 4224, 5576, 6391, 7576, 1052, 1349, 3034, 3770, 4406, 5796, 6243, 7708, 319, 1728, 2380, 3753, 4356, 5578, 6825, 8024, 660, 1728, 2380, 3343, 4321, 5665, 6673, 7534, 868, 2055, 2731, 3542, 4926, 6101, 6224, 7621, 613, 2051, 2239, 3688, 4399, 5317, 6860, 7652, 1062, 1919, 2871, 3592, 4896, 6216, 7130, 7437, 952, 1349, 3061, 3262, 4664, 5204, 7229, 8082, 715, 1120, 2238, 3752, 4740, 5889, 6302, 7869, 225, 1485, 3035, 3227, 4513, 5810, 6704, 7673, 225, 1540, 2341, 3904, 4555, 6094, 6291, 7749, 518, 1519, 2302, 3803, 4513, 5368, 6757, 7791, 256, 1705, 2150, 3933, 4895, 6215, 6740, 7313, 684, 1961, 2838, 4068, 5058, 5892, 6613, 8126, 390, 1881, 2695, 3692, 4533, 5761, 7197, 8083, 955, 1146, 2678, 3803, 4980, 5767, 7152, 7876, 831, 1771, 2456, 3771, 4993, 5642, 6892, 7899, 663, 1350, 2946, 3917, 5129, 5968, 7239, 7717, 424, 2053, 2871, 3537, 4214, 5796, 6507, 7954, 1090, 1146, 3144, 3390, 4966, 5438, 6850, 7870, 826, 1633, 2391, 3789, 4890, 5771, 6932, 7673, 887, 1878, 2888, 3455, 4743, 5981, 6870, 8086, 850, 1676, 3109, 3773, 4387, 5573, 6870, 8070, 778, 1797, 2705, 3885, 4536, 6171, 7030, 7492, 104, 1633, 2391, 3540, 4536, 5204, 7246, 7948, 1025, 1182, 3003, 4067, 4229, 6111, 7010, 7782, 826, 1633, 2798, 3429, 4796, 5944, 7244, 7816, 887, 1255, 2724, 4151, 4179, 6131, 6614, 7393, 104, 2118, 2610, 3511, 5067, 5550, 6614, 7827, 988, 1496, 2482, 3229, 5146, 5889, 6763, 7627, 1052, 1426, 2182, 3795, 4556, 5656, 6751, 7974, 360, 1682, 2173, 3568, 4596, 5656, 6595, 7740, 360, 1167, 2173, 3202, 4755, 5390, 7043, 7776, 271, 2050, 2728, 3202, 4391, 6145, 7051, 7420, 150, 1897, 3047, 3557, 4601, 5773, 7145, 7590, 504, 1469, 2733, 3533, 5092, 6159, 6432, 7718, 1025, 1529, 2425, 3842, 4933, 6138, 6998, 7902, 784, 1469, 2674, 3768, 4308, 5829, 6267, 7535, 150, 1529, 2727, 3712, 4330, 5960, 6969, 7605, 1025, 1363, 2894, 4153, 4919, 5716, 6408, 7393, 678, 1794, 2894, 3771, 4833, 5622, 6408, 7598, 684, 1998, 2899, 3945, 5079, 5439, 6619, 8213, 1099, 2032, 3110, 3803, 4420, 5210, 7120, 7557, 186, 2001, 2880, 3803, 5058, 5705, 7218, 7631, 818, 2000, 3135, 3982, 5104, 5705, 7239, 8076, 818, 2068, 2991, 3188, 5104, 6211, 6996, 8260, 818, 1648, 2991, 3825, 4624, 6139, 7226, 8196, 818, 2000, 3135, 4071, 4798, 5241, 7124, 7766, 818, 1998, 2803, 3710, 4888, 6085, 6996, 8267, 818, 1622, 2781, 3990, 4630, 6081, 7077, 7876, 818, 1528, 2164, 3825, 4624, 6081, 6972, 7766, 415, 1965, 2389, 3918, 4753, 6141, 7041, 7660, 132, 1381, 2746, 4168, 5153, 6160, 6938, 7480, 508, 1773, 2686, 3927, 4554, 5265, 6978, 7546, 1062, 1318, 2163, 3741, 4857, 5850, 6964, 7658, 840, 1898, 3132, 3448, 4751, 5328, 6234, 7802, 673, 1630, 2505, 3357, 5040, 5817, 6823, 7801, 673, 2009, 2869, 3194, 4499, 5249, 6339, 7551, 485, 1594, 2260, 3463, 4571, 5941, 6690, 7363, 895, 1301, 2301, 3737, 4776, 5592, 7141, 8084, 895, 1615, 2461, 3548, 4882, 5624, 6888, 7469, 738, 1351, 2691, 3802, 4462, 5339, 6555, 7842, 738, 1469, 3010, 3313, 4324, 6119, 6361, 8269, 738, 1469, 2221, 3814, 5149, 5815, 6555, 7920, 150, 1727, 3040, 3351, 4462, 6034, 6868, 7468, 150, 1290, 3072, 3899, 4709, 5596, 6814, 7481, 277, 1664, 2495, 3394, 4803, 5797, 7171, 8037, 277, 1897, 2798, 4047, 4546, 5741, 6533, 7803, 150, 1726, 3047, 3394, 4546, 6011, 6529, 7808, 150, 1874, 2732, 3196, 4697, 6154, 6850, 7583, 504, 1389, 2677, 3245, 4327, 5475, 6481, 8171, 770, 1296, 2429, 3932, 4830, 5362, 6302, 7250, 1062, 1507, 2232, 3939, 4665, 5799, 6334, 8050, 103, 1421, 2704, 4154, 4881, 5204, 7044, 7706, 308, 1147, 2802, 4135, 4574, 5244, 6604, 8267, 1099, 1939, 2984, 3803, 5106, 5694, 7006, 8179, 935, 2041, 3135, 3201, 4276, 5705, 6979, 7658, 510, 1998, 2989, 4085, 4215, 6211, 6972, 8076, 746, 1320, 3098, 3201, 4686, 5614, 6740, 7764, 334, 1752, 3035, 3566, 4764, 5778, 7012, 7638, 833, 1971, 2210, 3213, 4670, 5802, 6895, 8065, 211, 1421, 3038, 3720, 4225, 5294, 7090, 8205, 650, 2059, 2870, 3996, 5183, 6067, 7119, 7826, 826, 2059, 3129, 3909, 4335, 6080, 6768, 7660, 826, 2059, 3129, 4099, 5085, 5419, 6847, 7784, 826, 1655, 3129, 3992, 4790, 5695, 7095, 8206, 826, 1603, 2732, 3440, 5144, 5538, 6414, 8188, 993, 1299, 2352, 3448, 4930, 6180, 6562, 8209, 1025, 1557, 2435, 3704, 5031, 6204, 6803, 7467, 1025, 1826, 2435, 3943, 4335, 6144, 6901, 8109, 211, 1881, 3006, 4006, 4513, 5844, 6771, 8061, 1099, 1963, 2980, 3407, 5106, 5923, 6349, 7311, 1099, 1924, 2936, 3990, 5080, 5573, 6515, 7557, 914, 1791, 2991, 3909, 4551, 5705, 7111, 8266, 397, 2013, 2971, 3597, 4214, 5441, 6347, 7727, 489, 2127, 2370, 4011, 5160, 5270, 7095, 7895, 568, 1147, 2740, 3753, 4359, 5400, 7207, 7704, 195, 1249, 3064, 3470, 4304, 5413, 6856, 7547, 699, 2106, 2833, 4096, 4387, 5515, 6895, 7732, 654, 1345, 3064, 3951, 5128, 5749, 6309, 8209, 518, 2127, 2869, 3838, 4522, 5901, 6277, 8038, 518, 1853, 2775, 3356, 4985, 5493, 7090, 8262, 105, 1237, 2328, 4089, 4983, 5730, 6466, 8126, 860, 2017, 2806, 3595, 4681, 6205, 7207, 7677, 915, 1756, 2806, 3407, 5038, 5296, 6996, 8237, 915, 1622, 2806, 3825, 4859, 5677, 7226, 7715, 915, 1622, 2806, 3825, 4798, 5241, 7201, 8223, 915, 1528, 2914, 4174, 5038, 5705, 7201, 7723, 915, 1528, 2957, 3825, 4980, 6211, 7077, 8196, 402, 1596, 2810, 3749, 4797, 5478, 6414, 7984, 1078, 1107, 2559, 3965, 4486, 6125, 6328, 8058, 323, 1730, 2271, 3678, 5135, 5408, 6659, 7604, 835, 2069, 2464, 3353, 4674, 5737, 6492, 7830, 1040, 1349, 2847, 3688, 4321, 5418, 6596, 8034, 897, 1332, 2882, 3417, 4804, 5955, 6423, 7856, 868, 2036, 2464, 3763, 5196, 5582, 6967, 7962, 536, 1940, 2974, 3651, 4426, 5695, 6965, 7997, 536, 1918, 2198, 4007, 4431, 6034, 6257, 7950, 326, 1873, 3086, 3770, 4966, 5792, 7102, 7670, 113, 1684, 2144, 3557, 4305, 6026, 7174, 7401, 881, 1540, 2696, 3394, 5118, 5503, 6721, 8225, 465, 1581, 2953, 3583, 5188, 6118, 6438, 7865, 1005, 1116, 3040, 3394, 4468, 5869, 6282, 7689, 844, 2094, 2953, 4037, 4672, 6001, 6924, 8271, 778, 1820, 2254, 3581, 4285, 6002, 6762, 7918, 1090, 1918, 2502, 3680, 4651, 5942, 6998, 7582, 610, 1809, 2924, 3616, 4374, 6085, 7168, 8040, 887, 1581, 2436, 3910, 4592, 5974, 6967, 8126, 104, 1717, 2940, 3692, 4861, 5565, 7010, 8258, 1025, 1350, 3053, 3206, 4573, 6007, 7239, 7602, 826, 1797, 2741, 3707, 4536, 6218, 6528, 7907, 826, 1676, 2486, 3390, 4582, 5500, 6433, 7854, 778, 1755, 3101, 3771, 5075, 5687, 7114, 8195, 887, 1932, 2741, 3430, 4365, 5796, 7150, 7870, 1090, 1728, 3003, 3917, 4191, 6073, 6736, 7584, 610, 1809, 2783, 4145, 4334, 5824, 7044, 7664, 427, 1932, 2678, 4027, 4764, 6103, 7111, 7876, 715, 1791, 2139, 4005, 5106, 5325, 6749, 7811, 1019, 1496, 2559, 3653, 5054, 5512, 7118, 8038, 1074, 1349, 2727, 4079, 5010, 5341, 6679, 7956, 326, 1476, 2486, 3239, 4417, 6020, 6992, 7888, 774, 1455, 2361, 3261, 4201, 5621, 7045, 8128, 265, 1116, 3116, 3592, 4428, 5734, 6799, 8232, 603, 1434, 2951, 3741, 4646, 6136, 6461, 8256, 935, 1467, 3109, 3277, 4555, 5548, 7071, 8267, 935, 1620, 2391, 4108, 4387, 5767, 6966, 7948, 818, 1847, 2834, 3891, 5104, 5705, 7084, 7631, 818, 1791, 2996, 3440, 5104, 5241, 7201, 8076, 935, 1648, 2833, 3825, 4798, 5630, 7120, 7948, 555, 1684, 2970, 4071, 5104, 5550, 7077, 7716, 105, 1684, 3021, 4006, 4304, 5719, 6604, 7563, 105, 1372, 2340, 3391, 4638, 5767, 7218, 8076, 617, 2127, 2370, 3761, 4681, 5385, 6677, 8093, 617, 2013, 2941, 3597, 5138, 5385, 6717, 7727, 617, 2127, 2370, 3595, 5060, 6137, 6671, 7664, 617, 2127, 3105, 3955, 5157, 5550, 6909, 7477, 617, 1372, 2858, 3680, 5079, 5581, 6466, 8236, 617, 1372, 3021, 3785, 4877, 5385, 6810, 7715, 617, 1623, 2370, 3827, 5130, 6119, 6809, 7778, 617, 2127, 2370, 4068, 4916, 5296, 6677, 8262, 617, 2106, 2970, 3980, 5166, 5901, 6810, 8093, 617, 1564, 2791, 3420, 5141, 5615, 7220, 7660, 356, 2106, 3143, 3770, 4181, 5223, 6291, 7303, 337, 2034, 2493, 3951, 4387, 5436, 6671, 7485, 860, 2032, 2806, 3825, 4630, 5963, 6809, 8080, 818, 1528, 2806, 4174, 5060, 5340, 6752, 8223, 288, 1304, 3008, 4166, 4387, 5892, 6338, 7474, 902, 1981, 3003, 3443, 5138, 5733, 6908, 7546, 323, 1695, 2835, 3688, 4244, 6126, 6249, 7545, 830, 1695, 3047, 3225, 4539, 5348, 6448, 8270, 807, 1635, 2316, 3429, 5155, 5810, 7050, 8203, 271, 2079, 2595, 4107, 4426, 5313, 6302, 8070, 1025, 1494, 2868, 3452, 5014, 5767, 6333, 7366, 223, 1721, 2610, 4017, 4387, 5413, 7017, 7959, 887, 1717, 2887, 3530, 4918, 5890, 6630, 8236, 1081, 1255, 2820, 3771, 5098, 5534, 7037, 8083, 684, 1930, 2868, 3931, 4334, 5378, 7237, 8195, 804, 2079, 2746, 4006, 5058, 5968, 7218, 8080, 1099, 1945, 3110, 4071, 4782, 5705, 6709, 8195, 899, 2127, 2834, 4026, 4470, 6211, 6338, 7764, 251, 1289, 3133, 4073, 5135, 5218, 6893, 8071, 183, 1525, 2669, 4115, 4555, 5493, 6709, 7641, 859, 1304, 3021, 4011, 4877, 6110, 7084, 7641, 356, 1147, 2730, 3873, 5104, 6144, 6338, 7984, 613, 1919, 3060, 3605, 4869, 6203, 6849, 8137, 856, 1190, 2965, 3355, 4241, 5526, 7179, 7908, 1074, 1928, 3073, 3403, 4916, 5303, 7161, 7929, 1019, 1829, 2731, 3969, 4795, 5351, 6449, 7616, 1080, 1996, 2170, 4145, 4645, 5982, 6944, 7624, 582, 2067, 2282, 4155, 4911, 5828, 6701, 8191, 986, 1178, 2271, 4128, 4969, 6191, 7229, 8117, 779, 1828, 2839, 3790, 4829, 5581, 6592, 8217, 684, 2068, 2970, 4097, 5081, 5684, 7152, 7536, 956, 1992, 2820, 3961, 4387, 5959, 7010, 8061, 956, 1943, 3128, 3866, 4888, 5340, 6972, 7557, 1099, 1508, 2960, 3982, 5165, 6175, 6786, 7641, 956, 1869, 3095, 4071, 5038, 6103, 7084, 8147, 510, 1175, 2880, 3188, 5038, 6051, 6988, 7806, 1020, 1345, 2606, 4161, 4495, 5261, 6578, 7321, 256, 1547, 2466, 3576, 4486, 6085, 6273, 8093, 183, 1750, 2156, 3566, 4374, 6175, 7084, 7732, 183, 1705, 2860, 3374, 4859, 5573, 6668, 7386, 513, 1755, 3144, 3826, 4214, 5787, 6413, 7865, 767, 1674, 2924, 3193, 5142, 6181, 7072, 8101, 807, 1674, 2271, 3695, 4727, 6147, 6592, 7695, 986, 2047, 2767, 4015, 5145, 5224, 7140, 8167, 807, 2024, 2771, 3623, 4539, 5482, 7222, 8017, 862, 1554, 2173, 3476, 4602, 6114, 6908, 8240, 692, 1206, 3040, 3329, 4448, 5934, 6871, 7624, 1101, 1302, 2830, 3191, 4204, 6217, 6905, 7721, 363, 1550, 2863, 3322, 4678, 5970, 6631, 7762, 884, 1900, 2239, 3601, 4321, 5787, 6713, 7667, 725, 1938, 2172, 3962, 4539, 5409, 6467, 8005, 887, 1938, 2316, 3652, 4222, 5350, 6603, 7528, 150, 1826, 2316, 3568, 4244, 6156, 6818, 7457, 1090, 1797, 2797, 3796, 4795, 5643, 6849, 7930, 1025, 1676, 2463, 4145, 4426, 5216, 7129, 8237, 610, 1676, 2974, 3201, 4179, 5212, 6704, 7716, 831, 1778, 2515, 3962, 4536, 5796, 7152, 8266, 663, 1919, 2710, 3955, 4588, 5761, 7143, 7602, 610, 1238, 3033, 3885, 5096, 6114, 7149, 7846, 887, 1978, 3064, 3917, 5153, 6014, 7207, 7811, 850, 1676, 2456, 3922, 4622, 5289, 6716, 7329, 610, 2055, 3033, 3949, 4212, 5212, 7095, 7992, 1101, 2111, 2401, 3635, 4321, 5251, 7223, 8084, 1041, 1496, 2346, 3309, 4708, 5408, 6456, 7349, 746, 1823, 3097, 3363, 4612, 5963, 6723, 7842, 1051, 1847, 2981, 3500, 4875, 6156, 6566, 7303, 757, 1147, 2718, 4087, 4829, 5668, 7045, 7361, 356, 1526, 2669, 3848, 5153, 5656, 7000, 7764, 1059, 2034, 2984, 4132, 5081, 6160, 6498, 7686, 221, 1156, 2346, 3213, 4486, 5993, 6697, 7252, 221, 1227, 2346, 3598, 4412, 5322, 6386, 8087, 660, 1948, 2346, 3329, 4469, 6106, 6768, 7452, 660, 1550, 2231, 3329, 4546, 5934, 6286, 8046, 115, 1212, 2787, 3425, 4321, 5381, 6780, 7364, 271, 1708, 2601, 3329, 4546, 6024, 6528, 7997, 271, 1708, 2422, 3366, 4539, 5726, 6991, 7703, 1025, 1897, 2729, 3992, 5138, 5749, 6871, 8161, 1025, 1682, 2429, 3931, 4235, 5344, 6991, 7658, 1090, 1682, 2946, 3917, 4993, 5749, 6540, 8126, 807, 1635, 2886, 3618, 4474, 5719, 6311, 7773, 807, 2033, 2316, 4025, 4882, 5344, 6603, 7534, 807, 1721, 2309, 4073, 5124, 5810, 6592, 7936, 807, 2079, 2865, 3329, 5124, 5981, 6399, 8221, 103, 1350, 3149, 3964, 4186, 6149, 6574, 7809, 308, 1675, 3006, 3920, 4279, 6149, 6891, 7716, 543, 1308, 2912, 3827, 5143, 6205, 7230, 7537, 256, 2052, 3022, 3595, 4925, 5825, 7024, 8265, 240, 1684, 2904, 3886, 4896, 6066, 6540, 8150, 878, 1620, 2444, 3277, 5165, 5935, 6607, 8118, 543, 1620, 2151, 4071, 4398, 5705, 6668, 8237, 401, 2125, 3128, 3961, 4512, 5705, 6979, 7770, 223, 2102, 3097, 3420, 4485, 5656, 7133, 7948, 1023, 1564, 2562, 3265, 4946, 6115, 6225, 7625, 920, 1227, 2415, 3497, 4451, 5393, 6224, 8149, 582, 2009, 2595, 3329, 4855, 5280, 6923, 7911, 1025, 1269, 2401, 3421, 4379, 5982, 6710, 7367, 1025, 1676, 2352, 4150, 5088, 5784, 6832, 8093, 1025, 1499, 2783, 4150, 4279, 6007, 6771, 7508, 1025, 1499, 2783, 3493, 4942, 5765, 7207, 7794, 1025, 1499, 2750, 3493, 4179, 5767, 7019, 7846, 1025, 1797, 2282, 3917, 4447, 5641, 7095, 7495, 643, 1708, 2867, 3822, 5138, 5648, 6731, 8016, 314, 1550, 3029, 4166, 4457, 5216, 6612, 8209, 884, 1302, 2138, 3931, 4604, 5344, 6828, 7649, 981, 1778, 3097, 3376, 4541, 5346, 7087, 7707, 271, 2120, 3036, 3824, 4335, 6201, 6798, 7885, 150, 2120, 2671, 3533, 4364, 5286, 6312, 7490, 1025, 1547, 2997, 3345, 4755, 5507, 7074, 7602, 643, 1547, 2389, 3639, 4887, 5595, 6803, 8209, 1022, 1301, 2559, 3619, 4644, 6152, 7053, 7581, 1022, 1630, 3069, 3727, 5005, 5835, 7007, 7311, 1022, 2036, 2173, 3830, 5159, 5952, 7173, 7965, 1090, 1773, 3109, 4133, 4374, 6120, 6740, 8089, 951, 1380, 3064, 3162, 4966, 5260, 6687, 8076, 970, 1786, 2970, 3843, 4663, 6182, 6702, 7454, 424, 1770, 2547, 3395, 4639, 5438, 6331, 7591, 211, 2073, 2515, 3795, 5169, 6070, 6588, 8076, 899, 1363, 2783, 3550, 4374, 5968, 6373, 7800, 228, 1264, 2554, 3407, 4945, 5503, 6776, 7528, 228, 2073, 2340, 3753, 5179, 6182, 6604, 7476, 228, 2073, 2830, 3680, 4638, 5840, 6291, 7715, 228, 2108, 2830, 3364, 4622, 5865, 6535, 7318, 228, 1345, 2340, 3798, 4890, 5892, 6889, 8076, 518, 1468, 3133, 4096, 5157, 6146, 7024, 8076, 518, 1550, 2987, 3680, 5167, 5840, 6430, 8022, 228, 2108, 2282, 4166, 5160, 5581, 7181, 8046, 256, 2127, 3026, 3394, 4877, 5251, 6551, 7477, 228, 2106, 2554, 4125, 4654, 5613, 6809, 8262, 228, 2106, 2335, 3570, 4859, 5333, 6486, 7865, 543, 1851, 2542, 4174, 4859, 6110, 6996, 7929, 240, 2078, 2554, 4145, 4868, 6175, 7103, 7677, 543, 1851, 2970, 3595, 4877, 5514, 6604, 7715, 543, 1851, 2970, 3893, 5168, 5635, 6612, 7715, 543, 1248, 2791, 4145, 4776, 5514, 7160, 7865, 543, 1826, 2221, 4149, 4877, 5556, 7181, 8126, 555, 2118, 2718, 3391, 4240, 5241, 7152, 7723, 488, 2111, 2729, 3595, 4387, 6182, 6988, 8147, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8196, 201, 1528, 2806, 3893, 4624, 6139, 6794, 8147, 201, 1528, 2806, 3893, 4624, 6139, 7124, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 4, 2 ]

[ 1, 45, 66, 5, 76, 11, 78, 5, 14, 54, 5, 45, 54, 30, 47, 16, 54, 5, 5, 5, 64, 66, 57, 54, 30, 49, 30, 5, 5, 5, 76, 45, 31, 5, 16, 5, 53, 17, 64, 51, 16, 66, 76, 17, 54, 30, 5, 44, 54, 5, 43, 45, 78, 5, 64, 26, 30, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 6081, 7077, 8147, 142, 1528, 2914, 3825, 4624, 6186, 7077, 7766, 488, 1648, 2806, 4145, 4624, 6139, 7226, 8196, 552, 2065, 2709, 3932, 4583, 6103, 6551, 7485, 105, 1971, 2139, 3662, 5143, 5550, 6584, 7476, 789, 1561, 3147, 3478, 5088, 5294, 6254, 8061, 640, 1842, 2601, 4043, 4755, 6117, 6530, 7834, 737, 2034, 2983, 3268, 5001, 5616, 6313, 7819, 672, 1958, 2697, 3329, 4709, 5523, 7187, 8234, 103, 1436, 2802, 3488, 4813, 5549, 6544, 7524, 1097, 1966, 2746, 3671, 4762, 5684, 6918, 7311, 405, 1705, 2803, 4096, 4579, 6128, 6507, 8080, 579, 1939, 2454, 3662, 5079, 5942, 6692, 7676, 709, 1827, 2542, 3826, 4490, 6211, 6967, 7767, 211, 1998, 2470, 3776, 4589, 5385, 6584, 7965, 373, 1489, 2167, 3771, 4861, 5378, 7152, 7720, 1003, 1778, 2998, 4067, 4884, 5910, 6550, 8086, 803, 1660, 2678, 3352, 4832, 6080, 6776, 8092, 895, 1244, 2813, 3790, 4337, 6117, 6846, 7265, 793, 1299, 2494, 3341, 5111, 5242, 6426, 7405, 723, 1735, 2462, 4025, 4417, 5492, 6674, 8044, 459, 1510, 2818, 3191, 4955, 5444, 7067, 7759, 225, 1923, 2988, 3904, 4181, 5727, 6431, 7591, 195, 1749, 2520, 3768, 4717, 5918, 6992, 7700, 195, 1963, 2238, 3962, 4266, 6100, 6292, 7773, 708, 1827, 2904, 3900, 4318, 6135, 6756, 8262, 113, 1821, 2717, 3795, 5104, 5364, 7159, 7718, 535, 1609, 2897, 3533, 4582, 6053, 6520, 7383, 462, 1349, 2595, 3180, 4758, 5655, 6663, 7259, 936, 1349, 3116, 4137, 5118, 5814, 7045, 7954, 930, 1541, 2724, 3329, 4953, 5315, 6623, 7860, 1084, 1323, 2974, 3904, 4734, 5218, 6913, 8215, 104, 1146, 3039, 3717, 5159, 5765, 7243, 8227, 993, 1182, 3080, 3513, 4385, 5243, 6740, 8172, 826, 1255, 2484, 4120, 4883, 5314, 6540, 8039, 993, 1773, 2585, 3201, 4337, 5413, 6771, 7795, 737, 1695, 2377, 3227, 4564, 6178, 6768, 8232, 896, 1834, 2725, 3997, 4321, 6145, 6701, 7398, 528, 2102, 2332, 3915, 4737, 6179, 6869, 7721, 702, 1688, 2221, 4138, 5072, 5847, 6485, 7973, 1080, 1265, 2290, 3888, 4495, 5218, 6239, 7355, 942, 1778, 2313, 3356, 5067, 5548, 7004, 7393, 223, 2095, 2247, 3605, 4208, 5589, 6270, 7891, 1033, 1669, 2659, 3997, 4795, 5339, 7244, 7959, 271, 1271, 3020, 4120, 5126, 5565, 6623, 8235, 150, 1557, 2543, 4120, 4633, 5868, 6611, 7774, 1025, 1782, 3066, 3928, 4845, 5219, 6715, 7313, 1025, 1773, 2492, 3201, 5088, 5868, 7168, 7393, 211, 1915, 2591, 4145, 5115, 5981, 6979, 8245, 757, 1581, 2709, 3793, 4368, 5651, 6371, 7510, 545, 2079, 2874, 3709, 4903, 5684, 6663, 8168, 582, 1489, 2872, 4096, 5145, 5555, 6224, 8189, 986, 1388, 2751, 3417, 5135, 5753, 6811, 8156, 536, 1550, 2751, 3192, 5160, 6001, 7106, 8199, 988, 1289, 3033, 3741, 5135, 5224, 7094, 7771, 363, 1905, 2695, 3323, 4804, 5653, 6822, 7987, 443, 1905, 2940, 3323, 4358, 5325, 7234, 7559, 737, 1287, 2766, 3767, 4645, 5972, 6883, 8044, 249, 1280, 2332, 3888, 4946, 5257, 6836, 8121, 363, 2024, 2225, 3957, 4208, 5591, 6608, 8125, 1011, 1759, 2659, 4022, 4443, 5836, 6761, 8259, 663, 1509, 2863, 3316, 4536, 5643, 7018, 7641, 767, 1770, 3064, 3206, 4622, 5981, 6776, 7584, 216, 1239, 2658, 3901, 5165, 6025, 6242, 8227, 335, 1141, 3007, 4017, 4825, 6175, 6410, 7870, 731, 1770, 2771, 3371, 4536, 6146, 7228, 7895, 391, 1858, 2984, 3304, 5104, 6163, 6284, 7485, 767, 1770, 2141, 4145, 4622, 5573, 6834, 7948, 304, 2073, 2866, 3201, 5026, 5704, 6265, 7570, 401, 1212, 2136, 3932, 4861, 5204, 6918, 7574, 216, 1992, 2899, 3540, 5159, 6103, 7010, 7336, 779, 1992, 3043, 3645, 5106, 6181, 7162, 8195, 552, 1682, 2709, 4106, 4622, 5963, 6979, 7732, 240, 2002, 3059, 4143, 4351, 5493, 6604, 7303, 654, 1147, 2181, 3891, 4529, 5678, 7201, 7806, 195, 1750, 2562, 3680, 4877, 6007, 6607, 7776, 195, 1758, 2560, 3967, 4411, 5677, 6710, 7477, 225, 2060, 2654, 3623, 5048, 5219, 6890, 8061, 225, 2060, 2729, 3595, 5079, 5413, 7024, 7706, 654, 2002, 2740, 3795, 4887, 5992, 6430, 7631, 195, 1826, 2664, 3777, 5143, 5981, 6504, 7732, 240, 2002, 2944, 4103, 4601, 5678, 6515, 8103, 240, 1756, 2880, 3891, 4412, 5515, 6889, 7707, 789, 1750, 2221, 3933, 4888, 5767, 6671, 7303, 419, 2017, 2806, 3914, 4859, 5677, 7120, 8076, 419, 1622, 2554, 3825, 4704, 5241, 6794, 8196, 568, 1923, 3147, 3227, 4681, 5276, 6755, 8061, 987, 1858, 2520, 3692, 4225, 5515, 6892, 7383, 1067, 1510, 2870, 3986, 4953, 6147, 6480, 7617, 635, 1510, 2214, 3991, 4627, 5973, 6834, 7693, 875, 1924, 2726, 4003, 4459, 5799, 7071, 7710, 1029, 1213, 2152, 3623, 4751, 5469, 6815, 7442, 540, 1318, 2707, 3356, 5114, 5623, 6483, 8159, 386, 1812, 2691, 3693, 4417, 5780, 6595, 8190, 1009, 1271, 2394, 3954, 4978, 5884, 7223, 8205, 504, 1356, 2894, 4095, 5003, 5750, 6582, 7365, 504, 1637, 2931, 3156, 4893, 6180, 6939, 7898, 913, 1755, 3095, 3391, 4653, 6071, 7149, 7260, 970, 1234, 2946, 3325, 4691, 5935, 6619, 7488, 970, 1508, 2266, 3873, 4831, 5616, 7160, 7901, 938, 1318, 3080, 3998, 4622, 5629, 6935, 8261, 1011, 1831, 3107, 4155, 4867, 6044, 6470, 7901, 401, 1669, 2792, 3634, 5003, 5825, 6566, 7594, 304, 1385, 2946, 3910, 4191, 5630, 6850, 7570, 401, 1669, 2899, 3838, 5122, 6129, 6302, 7876, 304, 1385, 2710, 3669, 5166, 6131, 7098, 7720, 643, 1227, 2678, 3298, 5129, 6114, 7218, 7774, 970, 1797, 3064, 3410, 5022, 6120, 7095, 7764, 304, 1721, 2803, 3909, 4287, 6195, 7010, 7631, 1056, 1682, 3053, 4097, 4870, 6146, 6979, 7664, 804, 1218, 2783, 3440, 4583, 5840, 7084, 8260, 1056, 2125, 2946, 3909, 4512, 6103, 7239, 7476, 308, 1455, 2803, 4171, 5038, 6129, 7201, 8076, 390, 1705, 2167, 3516, 4551, 6175, 6302, 8267, 1042, 1382, 3079, 3894, 4534, 5886, 6277, 7531, 363, 1808, 2271, 3334, 4525, 5512, 6674, 8067, 896, 1388, 2751, 3845, 4648, 5773, 7087, 7712, 1060, 1948, 2327, 3329, 5036, 5890, 6252, 7881, 1100, 2102, 2415, 3200, 4539, 5237, 7041, 8268, 900, 1948, 2717, 3184, 4933, 5665, 7232, 7442, 920, 1800, 2464, 3750, 4804, 5333, 6909, 7828, 807, 2003, 2380, 3329, 4848, 6076, 7013, 8132, 884, 1302, 2327, 3449, 4690, 5218, 6741, 7683, 265, 1778, 2464, 3827, 4496, 5668, 6281, 7442, 265, 1164, 2271, 3855, 4471, 6200, 6371, 7554, 504, 1548, 2271, 3167, 4935, 5887, 6376, 7652, 643, 1482, 2332, 3720, 5015, 6169, 7232, 7917, 504, 1971, 2724, 3218, 4589, 5719, 6687, 7778, 981, 1140, 2610, 4078, 4829, 5681, 6818, 7597, 684, 1752, 2991, 4145, 4867, 6001, 6677, 7570, 308, 1302, 3053, 4085, 4551, 5705, 6972, 7764, 955, 1777, 3110, 4145, 5061, 5630, 7111, 7723, 401, 1721, 2880, 4145, 4822, 5883, 6967, 8267, 401, 1924, 2833, 3990, 5088, 5968, 6540, 7485, 288, 1945, 3043, 4068, 5080, 5694, 7129, 8179, 844, 1964, 3008, 3309, 4691, 5500, 6616, 8173, 668, 1349, 2267, 4168, 5184, 6119, 7017, 8163, 363, 1149, 2271, 3394, 4278, 5427, 6921, 7312, 917, 2118, 2842, 3329, 4903, 5886, 6865, 7967, 371, 2008, 2316, 4078, 5052, 5918, 7071, 7521, 211, 1349, 2730, 3600, 4473, 6005, 6522, 8245, 684, 1821, 2363, 4085, 4387, 6192, 7017, 7911, 1099, 2111, 2444, 4150, 4551, 5550, 6996, 7811, 186, 1845, 2167, 3891, 5038, 5901, 7006, 8126, 488, 2000, 2164, 4011, 4704, 6139, 7201, 7806, 186, 1528, 2746, 3893, 5061, 5635, 7077, 7766, 555, 1684, 2959, 3645, 4287, 5534, 7111, 8147, 552, 2106, 2970, 3374, 5083, 5635, 6688, 7485, 617, 1564, 2340, 3891, 4867, 5515, 7218, 8076, 555, 2065, 2970, 4171, 4870, 6139, 6996, 8196, 555, 2111, 2880, 3680, 5007, 5635, 7120, 8196, 142, 2017, 2806, 3825, 4704, 5892, 7226, 8196, 860, 1622, 2806, 3893, 4624, 6139, 7124, 8147, 488, 1622, 2806, 3893, 4624, 6139, 6786, 7766, 818, 1528, 2164, 3893, 4798, 5635, 6786, 8223, 512, 1705, 3043, 4011, 4551, 5705, 6709, 8083, 767, 2064, 2895, 3516, 4925, 6103, 6467, 8267, 266, 1499, 2816, 3218, 4852, 6073, 6874, 7457, 994, 1986, 2409, 3537, 4537, 6135, 6726, 7540, 994, 1682, 2627, 3828, 4539, 5286, 7174, 7801, 83, 1682, 2429, 3752, 4539, 5656, 7147, 7709, 373, 1614, 3049, 4004, 4539, 5781, 6710, 7826, 424, 2125, 2971, 4005, 4932, 5255, 7078, 7582, 691, 1918, 2868, 4067, 4412, 5414, 6348, 7975, 113, 2043, 3066, 3225, 4573, 6085, 7125, 7284, 631, 1146, 2931, 3486, 4441, 5918, 7227, 7829, 1057, 1609, 3040, 3513, 4363, 5719, 7194, 7641, 887, 1974, 3047, 3873, 4542, 5963, 6437, 7770, 1025, 1797, 2946, 3671, 4224, 5228, 6615, 7658, 1025, 1370, 2716, 3390, 4539, 5981, 6658, 7593, 1057, 1928, 2440, 3964, 4316, 5835, 6426, 7602, 408, 1747, 2349, 3582, 4321, 5977, 6906, 7502, 641, 1182, 2905, 3195, 4855, 5389, 6467, 7741, 1084, 1878, 2740, 3231, 4993, 5459, 6476, 8176, 1090, 1682, 2839, 3771, 4558, 6118, 7098, 7919, 1090, 1682, 2839, 3680, 4558, 5588, 6614, 8031, 314, 1199, 2800, 3487, 4635, 5346, 6766, 8071, 759, 1404, 2373, 4017, 4710, 6118, 6903, 7650, 113, 1490, 2532, 3481, 4372, 5732, 6359, 7656, 1102, 1609, 3005, 3481, 4796, 6111, 6783, 8143, 256, 1577, 2293, 3424, 4792, 5660, 7157, 7753, 195, 2127, 2659, 3842, 4536, 5296, 6486, 7740, 195, 1596, 2830, 3798, 4845, 5756, 6840, 8126, 654, 1806, 2669, 3648, 4859, 5220, 6717, 7267, 654, 1313, 2473, 3376, 5007, 5219, 6607, 7966, 757, 1756, 2328, 3838, 5088, 5863, 6364, 7477, 186, 1386, 2729, 3550, 4704, 5795, 6579, 7485, 419, 1750, 2806, 3866, 4877, 5832, 7132, 7485, 419, 2017, 3110, 3825, 5166, 5677, 6996, 8196, 541, 1601, 2740, 3931, 4727, 5386, 6613, 7717, 663, 1206, 2874, 3915, 4334, 5765, 6837, 8193, 392, 1399, 2327, 3159, 4388, 5449, 7212, 7900, 363, 1773, 2951, 4007, 4525, 5954, 7224, 7384, 465, 2036, 2951, 3979, 4804, 5844, 6903, 7959, 833, 1747, 2826, 3909, 4993, 5861, 6612, 7386, 860, 1963, 2943, 4170, 5058, 5630, 6709, 7641, 1097, 2068, 3110, 3990, 4630, 5883, 7084, 8066, 956, 1963, 2991, 3886, 4888, 5534, 6996, 8179, 473, 2032, 2532, 3710, 4925, 5210, 6852, 7717, 684, 1467, 2582, 3945, 4822, 5534, 6988, 8185, 211, 1998, 2924, 3487, 5098, 5802, 6677, 8179, 887, 2035, 2293, 3989, 4439, 6087, 7237, 7846, 778, 1873, 2965, 3399, 4728, 6123, 7202, 8153, 614, 1255, 2465, 3391, 4856, 5702, 6408, 8028, 802, 1251, 2536, 3175, 5098, 5749, 7048, 7385, 850, 1621, 3032, 3391, 4812, 5284, 6284, 8041, 778, 1478, 2554, 3543, 4599, 6050, 6514, 7962, 778, 1747, 2894, 4061, 4803, 6222, 7072, 7336, 299, 1290, 2282, 4063, 4308, 5321, 7053, 7279, 104, 2053, 2923, 3240, 4365, 5379, 7094, 7767, 104, 2056, 2923, 3252, 5044, 6218, 7147, 8085, 1025, 1856, 2923, 3870, 4241, 5474, 7059, 7892, 778, 2095, 2750, 4146, 4952, 5305, 7095, 7419, 104, 1269, 2396, 3488, 4781, 5216, 6885, 7748, 641, 1489, 2429, 3352, 5041, 6055, 6298, 7885, 887, 1919, 2503, 3692, 4468, 5519, 6651, 7256, 850, 1858, 3066, 3401, 4875, 5921, 6740, 7311, 826, 1600, 2436, 4166, 4552, 5966, 6780, 7924, 887, 1581, 2436, 3393, 4556, 5425, 6633, 7631, 104, 1141, 2783, 3452, 4228, 5905, 7003, 7920, 104, 1797, 2610, 3169, 4258, 5908, 6658, 8060, 1025, 1494, 2678, 3937, 5183, 5901, 6302, 8195, 1025, 1797, 2944, 3949, 5061, 5980, 6954, 8261, 610, 1797, 3053, 3201, 5088, 5953, 7132, 7717, 424, 2125, 3095, 3961, 4586, 5832, 7207, 7570, 833, 2079, 2293, 4145, 4954, 5534, 6752, 7557, 535, 1971, 2543, 3662, 5011, 5285, 7085, 8139, 487, 1614, 2678, 3635, 4664, 6132, 6579, 7261, 1074, 1472, 2348, 3695, 4701, 5616, 6908, 7869, 1080, 1397, 2154, 3159, 4648, 6050, 7232, 7869, 692, 1808, 2271, 3792, 5114, 5325, 7162, 7727, 930, 1164, 2365, 3241, 5097, 6155, 6224, 7398, 980, 1463, 2708, 3994, 4734, 5942, 6472, 7538, 424, 1238, 2783, 3246, 5117, 5960, 6646, 7899, 850, 1676, 2946, 3361, 4981, 5980, 7023, 7919, 778, 1333, 2709, 3973, 4561, 6002, 6765, 8207, 299, 1971, 2332, 3492, 4321, 5500, 7246, 7795, 462, 2036, 2312, 3673, 4701, 5952, 6965, 8064, 462, 1808, 2884, 4043, 4701, 5831, 6710, 8215, 988, 1808, 2884, 3417, 4494, 5903, 7053, 7885, 536, 1942, 2232, 4015, 4648, 6142, 6651, 7936, 952, 1636, 2975, 4015, 4635, 5224, 6414, 7525, 952, 1600, 2830, 3949, 4604, 5438, 6910, 7996, 513, 1178, 2797, 3327, 4750, 5968, 7229, 7494, 225, 1587, 2156, 3562, 5187, 5389, 7182, 7716, 654, 1684, 2809, 3934, 4201, 5458, 6465, 8077, 654, 1345, 3053, 3909, 4836, 5629, 6338, 7477, 654, 1789, 2750, 3955, 5135, 5840, 7218, 7908, 518, 1961, 2529, 4074, 4531, 5344, 6560, 7860, 518, 1645, 3135, 3566, 4513, 5873, 7232, 7563, 228, 1304, 3139, 3376, 4715, 5296, 7162, 7386, 228, 2065, 2781, 3586, 5106, 5767, 7024, 7753, 256, 2111, 2554, 4074, 5135, 5677, 6589, 8164, 617, 1826, 2754, 3687, 4822, 5514, 6688, 8083, 650, 1981, 2429, 4006, 5085, 6182, 6338, 7816, 302, 1609, 2678, 4133, 4363, 5250, 6244, 8263, 786, 1865, 2643, 3714, 5195, 5553, 7139, 7709, 198, 1489, 2994, 3683, 4321, 5553, 6521, 7761, 480, 1681, 2818, 3524, 4254, 5941, 6680, 7402, 501, 1660, 3040, 3629, 4604, 5236, 6308, 8270, 310, 2107, 3040, 4004, 4283, 5787, 6456, 7616, 1003, 1234, 3040, 4007, 4187, 5577, 6492, 7993, 508, 1609, 2561, 3432, 5116, 5884, 7202, 7966, 918, 1503, 2182, 3741, 5145, 6158, 7041, 7520, 575, 1704, 2293, 3567, 4755, 5226, 7188, 7501, 639, 1520, 3079, 3366, 4479, 5725, 6628, 8226, 482, 1965, 2912, 3788, 4994, 5869, 6478, 7621, 192, 1363, 3011, 4103, 4945, 6210, 6357, 7350, 981, 1758, 2583, 4024, 5057, 5480, 7001, 7337, 725, 1510, 2713, 3380, 4706, 5918, 7162, 7355, 913, 1510, 2261, 3764, 4931, 5796, 6944, 7896, 981, 1510, 2800, 3253, 4966, 6187, 6614, 8213, 981, 2034, 2987, 4091, 4573, 5800, 7055, 8108, 643, 1389, 2335, 4092, 4384, 5806, 7017, 8081, 996, 1164, 2762, 3720, 4415, 5971, 6476, 7881, 103, 1562, 3032, 3741, 5160, 5531, 6839, 8045, 308, 1455, 3110, 4168, 4918, 5824, 7168, 8267, 804, 1218, 2167, 3961, 4870, 6195, 7207, 8076, 308, 1218, 2746, 4145, 5080, 5832, 6774, 8066, 397, 1978, 3032, 3994, 4923, 5514, 6830, 7256, 862, 1349, 2314, 3493, 4561, 5512, 6898, 8161, 662, 1649, 2951, 3720, 4881, 5929, 6346, 8253, 693, 1349, 2669, 3700, 4364, 5604, 6883, 7842, 265, 2034, 3051, 3741, 4898, 6086, 6783, 7831, 776, 1510, 2866, 3882, 4809, 5474, 6269, 7274, 804, 2111, 2898, 3405, 4927, 6058, 6344, 7794, 818, 1557, 2947, 3374, 4822, 5677, 7149, 7980, 488, 1847, 3109, 4115, 4704, 6131, 7207, 8107, 818, 2017, 2834, 3710, 4888, 6195, 6774, 8179, 818, 2017, 2834, 4115, 4583, 6205, 6786, 7876, 186, 2017, 2914, 3891, 4624, 5901, 6794, 7876, 186, 1528, 2746, 4068, 4888, 6139, 6996, 7766, 818, 1648, 2806, 3825, 4888, 6139, 6794, 8223, 818, 1648, 2914, 3891, 4704, 6139, 6794, 8196, 915, 2017, 2164, 3891, 4798, 6139, 6996, 8147, 488, 2111, 2914, 3893, 4798, 6081, 7120, 7766, 4, 2 ]

[ 1, 76, 26, 5, 54, 11, 66, 5, 43, 14, 75, 5, 51, 20, 52, 30, 5, 41, 20, 63, 5, 43, 33, 52, 62, 5, 76, 26, 52, 5, 31, 48, 78, 5, 67, 45, 55, 78, 5, 76, 35, 5, 28, 48, 44, 55, 5, 30, 44, 64, 66, 63, 60, 30, 5, 5, 5, 43, 48, 5, 64, 33, 30, 5, 5, 3, 390, 1567, 3098, 3793, 5115, 5653, 6298, 7383, 1071, 1771, 2282, 3233, 5090, 6164, 7091, 7846, 401, 1932, 3130, 3929, 5100, 5776, 7047, 7547, 1062, 2125, 2886, 4067, 4691, 5572, 6998, 7913, 113, 1146, 2738, 3994, 4542, 5537, 6897, 8060, 1025, 2050, 2151, 3842, 4765, 5598, 6319, 7481, 936, 1260, 2819, 3880, 4706, 5849, 6838, 7674, 917, 1543, 2749, 4128, 4808, 5512, 6789, 7888, 730, 1469, 2372, 3979, 4708, 5574, 6501, 7892, 501, 1548, 2911, 3735, 4471, 6118, 6710, 7721, 725, 1215, 3151, 3878, 5184, 5411, 6937, 7952, 508, 1356, 2861, 4014, 4770, 5579, 6423, 8217, 547, 1596, 2869, 3686, 4552, 5350, 7217, 7567, 547, 2059, 2239, 3466, 4389, 6145, 7060, 8226, 692, 2059, 2546, 3880, 4391, 5227, 6354, 8178, 1011, 1283, 2304, 4153, 4677, 6163, 6265, 7624, 1088, 1807, 2544, 4034, 4960, 6163, 6991, 7624, 731, 1640, 2383, 4151, 4783, 5930, 7065, 8036, 731, 1905, 2994, 3982, 5085, 6193, 6540, 8236, 401, 1685, 2925, 3983, 5164, 6195, 7111, 7473, 391, 1871, 3080, 3803, 5104, 6001, 6630, 7806, 767, 1633, 3089, 4150, 4954, 6103, 6467, 7631, 831, 1463, 2678, 3931, 4447, 6025, 6972, 8126, 731, 1992, 3006, 4145, 5159, 5952, 7084, 7602, 678, 2008, 2900, 4126, 4890, 6195, 6884, 7397, 1033, 1777, 2732, 3771, 4814, 6131, 7207, 7919, 1033, 1721, 2803, 3165, 4672, 6204, 6604, 8107, 104, 1721, 2974, 3880, 4467, 6007, 7112, 7557, 104, 1227, 3128, 3581, 5153, 5746, 7114, 8236, 104, 1496, 2503, 3957, 4588, 5677, 7019, 7658, 363, 1543, 2905, 4043, 5052, 5220, 6742, 7423, 508, 1630, 2981, 4083, 4781, 6012, 6913, 7617, 725, 1183, 2641, 4025, 4781, 5463, 7021, 7593, 504, 1503, 3147, 3154, 4364, 5622, 6340, 8020, 386, 1183, 2861, 4138, 4841, 5545, 6369, 8092, 271, 1903, 2198, 3456, 5001, 5866, 6612, 7962, 759, 1520, 2868, 3337, 4688, 5550, 6493, 7904, 1064, 2020, 2710, 3578, 5195, 5535, 6620, 8110, 731, 1490, 2679, 3909, 4781, 5995, 6314, 7475, 804, 1876, 2534, 4027, 4918, 5811, 7098, 7591, 859, 1675, 2991, 4124, 4374, 5968, 6752, 8195, 541, 1758, 2151, 3252, 4880, 5963, 6350, 7733, 211, 2118, 2895, 4039, 4337, 6086, 6840, 7770, 752, 1783, 2598, 4168, 4903, 6144, 6555, 8222, 1062, 2065, 3003, 4028, 4320, 5912, 6299, 8160, 893, 1421, 3090, 4076, 4529, 5746, 6467, 8128, 1067, 1510, 2239, 4112, 4900, 5397, 6679, 7956, 386, 2008, 2572, 3194, 5160, 6012, 6411, 7827, 1025, 1773, 3085, 3295, 5075, 5393, 6254, 7939, 512, 1402, 2793, 3352, 4630, 5981, 7129, 7547, 899, 1919, 2957, 3886, 4398, 6211, 7090, 8103, 789, 1649, 3053, 3798, 4911, 5942, 6292, 8185, 789, 1452, 2943, 3918, 4240, 5911, 6414, 8236, 488, 1847, 2560, 4113, 5038, 6051, 6972, 7949, 818, 2068, 3135, 3914, 4704, 6103, 6786, 7806, 186, 1528, 3007, 3990, 4980, 5883, 7132, 7876, 935, 1804, 2781, 3945, 5129, 5883, 7239, 8260, 293, 1887, 3046, 4024, 5018, 6156, 6248, 7252, 489, 2075, 2282, 3946, 4181, 5982, 6734, 8260, 579, 1407, 2932, 3614, 4946, 6003, 7164, 8203, 650, 2035, 3112, 3391, 5106, 5510, 7195, 7691, 650, 2070, 2321, 3989, 4732, 5220, 6364, 7955, 993, 2050, 2658, 3598, 5081, 5509, 6859, 7618, 436, 1708, 2152, 3184, 4395, 5509, 6663, 8016, 1001, 1469, 3066, 3446, 4896, 5454, 6501, 8225, 436, 1255, 2689, 4105, 4315, 5819, 6720, 7918, 1008, 1146, 3066, 3429, 4706, 5511, 7063, 7808, 1008, 1915, 2173, 3907, 4285, 5346, 7052, 8092, 1008, 1915, 3066, 3727, 4729, 5347, 6267, 8113, 936, 1469, 2338, 3426, 4274, 6121, 6878, 7863, 386, 1469, 2237, 3321, 4711, 5814, 6923, 7796, 504, 1922, 2881, 3766, 4729, 6050, 6840, 8129, 1025, 1997, 2766, 3420, 4672, 5568, 6591, 8203, 678, 1469, 2708, 3737, 4562, 5485, 6457, 7584, 1081, 1974, 3078, 3918, 5012, 6114, 7164, 8064, 288, 1581, 2820, 3710, 5158, 5305, 7150, 7397, 105, 1946, 2473, 4018, 4533, 5776, 6540, 7962, 789, 1750, 2781, 3512, 4589, 5586, 7007, 7913, 789, 1998, 2730, 3440, 4622, 5832, 6988, 8061, 256, 1750, 2239, 3440, 4555, 5514, 7220, 8066, 256, 1108, 2970, 3440, 4412, 5536, 6732, 7865, 256, 1108, 3144, 3516, 4287, 6048, 6308, 8185, 967, 1635, 2941, 3680, 5080, 5586, 7024, 7715, 967, 2073, 3143, 3374, 5125, 5987, 6732, 7918, 767, 2088, 3007, 3540, 4387, 5235, 6338, 7255, 864, 1469, 2613, 3372, 4241, 5990, 7052, 7604, 784, 1469, 3085, 3720, 4599, 5316, 6725, 7311, 1067, 1687, 2189, 3345, 5023, 6003, 7237, 7926, 895, 1205, 2893, 3700, 4196, 6039, 6681, 8146, 150, 2008, 2266, 3531, 4222, 5565, 6706, 8184, 1066, 1352, 2419, 3381, 5135, 6141, 6663, 7428, 211, 1490, 2800, 3622, 5080, 5393, 6687, 7398, 390, 1490, 2470, 3595, 4529, 6171, 6922, 8021, 833, 1490, 3075, 3917, 4670, 5937, 6774, 8009, 403, 1186, 2991, 3647, 5096, 5834, 6555, 8118, 153, 1925, 2487, 3564, 4969, 5436, 6951, 8126, 863, 1623, 2833, 3226, 5006, 6061, 6986, 8085, 952, 1182, 2381, 3761, 4867, 5678, 6402, 7415, 1052, 2107, 2729, 3457, 4985, 6005, 6654, 8210, 862, 1306, 2751, 3593, 4278, 5950, 6325, 7983, 661, 1826, 2559, 3563, 4943, 5408, 7141, 7991, 492, 1934, 2846, 3294, 4934, 6040, 6628, 8140, 681, 1717, 2173, 3310, 4292, 6145, 6257, 7463, 881, 1589, 3040, 3936, 4409, 5823, 6309, 8150, 360, 1440, 2766, 3442, 4506, 5823, 6730, 8023, 1067, 2050, 2736, 3997, 4321, 5384, 6403, 7665, 938, 1591, 2274, 3779, 4571, 5426, 6377, 7954, 752, 1743, 3040, 3395, 4653, 5754, 6615, 7648, 610, 1912, 2367, 3970, 4409, 5231, 6776, 7419, 914, 1534, 3008, 3990, 4792, 5219, 7218, 7557, 935, 1791, 2391, 3391, 4861, 5883, 7084, 8185, 935, 1998, 2989, 3866, 5104, 5515, 6786, 8237, 914, 1874, 2975, 3710, 4287, 5241, 7218, 7706, 878, 1964, 2989, 4152, 5166, 5493, 6884, 7510, 475, 1608, 2730, 3891, 5168, 5830, 7230, 7799, 475, 1468, 2340, 3188, 5007, 5413, 7120, 8188, 510, 2065, 3006, 3391, 5106, 6129, 6612, 8093, 186, 2032, 2989, 3595, 4624, 5694, 7132, 7591, 337, 1945, 3006, 4071, 4512, 6085, 6709, 7631, 308, 1705, 2984, 3975, 4589, 6103, 6771, 7631, 1033, 1467, 2996, 3371, 5060, 5835, 6235, 8069, 277, 1919, 3033, 4164, 4256, 6138, 6506, 8131, 113, 1180, 2993, 3796, 5069, 5465, 7159, 7741, 261, 1609, 2189, 3251, 5008, 5499, 6625, 7924, 360, 1279, 2565, 4014, 4812, 5365, 6935, 8140, 723, 1786, 2731, 4013, 4678, 5396, 7212, 7739, 943, 1603, 2314, 3466, 4929, 6002, 6542, 7363, 774, 2053, 2390, 3442, 4800, 5914, 7002, 7538, 655, 2036, 2491, 3943, 5124, 6152, 6600, 7255, 536, 1757, 2389, 3986, 4978, 6002, 7067, 7639, 992, 1703, 2373, 4036, 4911, 5843, 6965, 7810, 536, 1988, 2868, 3923, 4545, 5806, 6280, 8093, 277, 1808, 2540, 4043, 5175, 5454, 7141, 7889, 113, 2050, 2846, 3778, 5111, 6034, 6262, 8017, 1008, 2050, 2203, 3276, 4604, 5323, 6706, 8163, 1011, 2050, 2910, 3714, 4784, 6145, 6478, 8241, 715, 1489, 2665, 3562, 4643, 5449, 6758, 7919, 1090, 1918, 2659, 4047, 4335, 5646, 6604, 7831, 756, 1171, 2282, 3560, 4573, 5550, 7232, 7365, 672, 1596, 2186, 3709, 4720, 6076, 6870, 7419, 535, 1732, 2311, 3741, 5110, 5749, 6255, 7996, 1040, 2053, 2448, 4137, 4392, 5276, 6908, 7954, 986, 2053, 2751, 3417, 4330, 5308, 6254, 7900, 986, 1754, 2751, 3476, 4218, 6147, 6780, 7881, 986, 1700, 2661, 3776, 4804, 5843, 6466, 8025, 986, 1306, 2661, 4007, 4602, 5344, 6680, 7627, 887, 2053, 3035, 4096, 4321, 5640, 7019, 7905, 887, 1388, 3020, 4007, 4210, 5261, 6954, 7539, 613, 1932, 2432, 3426, 4804, 6208, 6736, 7968, 568, 1471, 2988, 3524, 4673, 6084, 6224, 7477, 225, 1570, 3038, 4078, 4881, 5582, 6280, 8236, 654, 1938, 2542, 3582, 4877, 5811, 6816, 7732, 654, 2065, 2316, 4125, 4522, 5840, 6584, 8125, 240, 1851, 2469, 3516, 4398, 5811, 6612, 7631, 789, 2000, 2729, 4137, 4918, 6149, 6589, 8066, 419, 2000, 2659, 4125, 4630, 5438, 7100, 7831, 453, 1964, 2669, 3407, 4225, 6123, 7024, 8061, 878, 1320, 2875, 3562, 5080, 6129, 7103, 7538, 579, 1750, 2957, 3662, 4764, 5653, 6574, 7962, 948, 1773, 2988, 3390, 4466, 6014, 6967, 8210, 897, 1726, 3137, 4137, 5180, 5575, 6769, 8210, 616, 1832, 2615, 4143, 5111, 5341, 6509, 8212, 535, 1112, 3029, 3770, 5095, 5696, 6484, 7994, 462, 1164, 3029, 3894, 4665, 5734, 6595, 8109, 850, 1121, 2748, 3939, 4539, 5266, 6240, 7992, 778, 1685, 2401, 3885, 4419, 6002, 7017, 8234, 408, 1754, 2653, 3709, 4308, 5485, 7169, 7453, 104, 1296, 2810, 3593, 4690, 5318, 6678, 7348, 993, 1182, 2436, 4087, 4757, 5441, 7098, 8238, 826, 1858, 2924, 4096, 5010, 5474, 6639, 7607, 970, 1978, 2429, 4026, 5096, 5641, 6668, 7764, 317, 2105, 2664, 4087, 5163, 5953, 6663, 7313, 225, 1424, 2370, 3358, 4862, 5579, 6521, 8260, 857, 2002, 2701, 4161, 5098, 5267, 6791, 8244, 552, 1963, 2340, 3402, 5076, 5924, 7120, 7948, 405, 1540, 2838, 3253, 4583, 6195, 6786, 8267, 750, 1545, 3135, 4064, 4343, 5968, 6614, 7677, 776, 1478, 2533, 3453, 5066, 6181, 6677, 7825, 864, 1469, 3101, 3642, 4717, 6080, 6696, 8222, 665, 1469, 2736, 3323, 4874, 6018, 6736, 7933, 778, 1582, 2974, 4058, 4302, 5426, 6840, 7894, 104, 1669, 2541, 3448, 4794, 5806, 6615, 7905, 1099, 1668, 2895, 3226, 5095, 5968, 7120, 7260, 804, 1218, 2783, 3391, 5104, 5241, 7006, 8267, 1097, 2041, 3110, 4071, 4980, 5832, 6588, 8260, 684, 2046, 2947, 4098, 4980, 6103, 7098, 7887, 1056, 2125, 2949, 4150, 5080, 6211, 7077, 8083, 143, 1238, 2652, 3487, 4437, 5331, 6402, 7869, 150, 1403, 2701, 3900, 5084, 6113, 6870, 7419, 896, 1397, 2701, 3464, 4755, 5423, 7033, 8040, 443, 1397, 2923, 4137, 4493, 6118, 6486, 8205, 807, 1808, 2797, 3613, 4755, 5531, 6935, 7442, 672, 1550, 2607, 4137, 4836, 5523, 6884, 8173, 922, 1550, 2751, 4132, 4270, 5979, 6654, 8044, 480, 1808, 2990, 3192, 4881, 5512, 6869, 8073, 487, 1753, 2207, 3687, 4604, 5746, 6682, 8046, 807, 2053, 2543, 3613, 4852, 5826, 7222, 7944, 937, 1550, 2767, 4091, 4417, 5379, 7125, 7262, 408, 1271, 2436, 4067, 4288, 5532, 7232, 7896, 391, 1561, 2944, 3271, 4364, 5618, 6870, 7774, 104, 1561, 2429, 4136, 5020, 5500, 6884, 8034, 778, 1685, 2871, 3741, 4807, 6167, 6515, 8040, 104, 1807, 2436, 4136, 5164, 5599, 6358, 7965, 778, 1269, 2357, 3513, 4282, 5918, 6915, 7852, 678, 1269, 2783, 4067, 5169, 6175, 6348, 7607, 308, 2091, 2944, 3866, 5169, 6085, 6809, 7570, 863, 2046, 2709, 3700, 4764, 6205, 7078, 7570, 882, 1787, 2935, 3943, 4720, 5914, 6354, 7697, 902, 1369, 2156, 3395, 4399, 5318, 6550, 7916, 668, 1826, 2759, 3983, 5115, 5465, 6614, 7965, 175, 2107, 2167, 4047, 4364, 5899, 7048, 8193, 225, 1705, 2317, 3749, 4318, 5482, 6224, 8012, 518, 2002, 2181, 3370, 4611, 5523, 6966, 7876, 195, 1749, 2775, 4005, 4912, 5536, 7069, 8130, 225, 2111, 2561, 4125, 4459, 5549, 6607, 7786, 225, 1597, 2959, 3851, 4334, 5627, 7043, 7538, 225, 1750, 2669, 3391, 4716, 5520, 7090, 7485, 225, 1108, 2992, 3891, 4870, 5223, 6677, 7664, 183, 1496, 2971, 3413, 4225, 5385, 6986, 7476, 105, 1112, 2340, 4168, 4916, 5767, 6840, 7563, 859, 2106, 2944, 3761, 4877, 6065, 6840, 7887, 617, 1264, 2833, 4006, 4916, 5436, 7152, 8130, 579, 2106, 3133, 4124, 4181, 6163, 7103, 8080, 541, 1758, 2970, 4114, 4630, 5534, 7111, 7976, 1015, 1596, 3021, 3188, 4863, 5339, 7019, 7483, 262, 1141, 3061, 3838, 4869, 5250, 6677, 7855, 160, 1324, 3092, 4093, 5080, 5796, 6522, 8174, 271, 1897, 2214, 3388, 4545, 6213, 7150, 8242, 83, 1494, 2130, 3517, 4550, 6218, 6426, 7416, 83, 1708, 2285, 4073, 4245, 5615, 6724, 7594, 83, 1708, 2740, 3509, 4780, 5222, 7128, 7360, 83, 1708, 2968, 3354, 5193, 5435, 7195, 7858, 1008, 1167, 2146, 3960, 4896, 5755, 7142, 7904, 1008, 1167, 2146, 3356, 4896, 6010, 7142, 8241, 271, 2070, 2137, 3418, 4197, 5325, 6690, 7957, 1067, 1345, 2137, 3421, 5124, 5742, 6722, 7468, 840, 1244, 2751, 3356, 5023, 5930, 6796, 7690, 1003, 1545, 2727, 3937, 4205, 5878, 6484, 8081, 631, 1141, 2912, 3341, 5124, 5510, 7044, 7571, 1080, 1700, 2564, 3485, 4364, 6164, 6911, 7839, 930, 1653, 2561, 3593, 4594, 6207, 6743, 7438, 1003, 1586, 2661, 3801, 4205, 6220, 6799, 8092, 1024, 1397, 2420, 3943, 5134, 5981, 6793, 7869, 103, 1776, 2874, 3749, 4205, 5695, 7224, 7873, 103, 2020, 2818, 3190, 4185, 6191, 6734, 7649, 684, 2107, 2860, 3916, 4912, 6175, 7207, 8185, 857, 1320, 2365, 4114, 4925, 5677, 6715, 7724, 231, 1797, 2837, 3316, 4966, 6074, 6740, 7965, 836, 1167, 2809, 3752, 4555, 5730, 6740, 7664, 545, 1308, 2941, 3732, 4364, 6086, 6657, 7574, 806, 1773, 2751, 4025, 4995, 5574, 7133, 7854, 487, 1399, 2708, 3605, 4796, 5341, 7010, 8235, 807, 1510, 3116, 3162, 5109, 6066, 6347, 7578, 722, 1553, 2874, 3741, 4385, 5413, 6442, 7727, 807, 1919, 2436, 3655, 4804, 6119, 6302, 7881, 756, 1566, 2238, 3631, 5098, 5868, 7119, 7972, 225, 2052, 2316, 3792, 4402, 6094, 7133, 7751, 654, 1695, 3021, 3662, 4852, 6146, 7120, 7252, 127, 1645, 2454, 3605, 5138, 5558, 6810, 7906, 240, 2127, 3144, 4103, 5197, 6110, 6972, 7508, 518, 2127, 3064, 3595, 5138, 5844, 6607, 7715, 518, 1862, 2542, 3394, 5048, 5470, 7103, 8267, 552, 1620, 2554, 4145, 4870, 5694, 7024, 7421, 959, 1827, 2332, 3789, 5007, 5574, 7038, 8253, 271, 1349, 2346, 3832, 4337, 6000, 6885, 8052, 994, 1494, 2271, 3485, 5100, 5205, 6654, 8117, 137, 1653, 2751, 3979, 4208, 5787, 6911, 7379, 404, 1706, 2625, 3660, 4578, 5512, 6262, 7912, 247, 1636, 2487, 4073, 4843, 5795, 7222, 7574, 668, 1397, 3074, 3456, 4305, 5918, 6857, 8050, 672, 1286, 2741, 3353, 4457, 5706, 6795, 7669, 569, 1510, 2751, 3741, 4364, 5821, 6570, 8047, 833, 1510, 2321, 3994, 5164, 6171, 6715, 7383, 804, 2090, 3144, 3826, 4912, 6195, 7207, 8076, 308, 1705, 3095, 3361, 5115, 6205, 7207, 7386, 356, 1817, 2239, 4143, 4795, 5893, 7019, 7827, 818, 1992, 2833, 3374, 5061, 5678, 6709, 7555, 818, 1528, 3135, 3226, 4870, 6085, 7207, 7776, 818, 1218, 2960, 3866, 5104, 5832, 7239, 8260, 555, 2046, 2957, 4018, 5159, 5832, 6752, 7876, 859, 1345, 2542, 3710, 5193, 5219, 6584, 7716, 617, 1286, 2858, 3550, 4855, 5580, 6810, 7485, 617, 1974, 2775, 4006, 4583, 5987, 6895, 8061, 617, 1974, 2971, 3566, 4297, 5493, 7239, 7717, 617, 1876, 2971, 4068, 4700, 5624, 6895, 8030, 617, 2111, 2941, 4006, 4512, 5942, 6579, 7485, 617, 2127, 2349, 4068, 4764, 5294, 6291, 8061, 617, 2111, 2839, 3407, 5157, 5550, 6604, 7549, 617, 2106, 2542, 3374, 4859, 5385, 6315, 8083, 617, 1974, 3143, 3407, 4681, 5241, 7181, 7844, 617, 2111, 2941, 3914, 4622, 5385, 7181, 7743, 617, 1750, 2833, 3374, 4985, 6149, 7091, 8061, 617, 2106, 3064, 3931, 4836, 5385, 6338, 8061, 617, 1750, 2775, 4068, 4583, 5580, 6688, 8126, 105, 2111, 2340, 3827, 4704, 5385, 6412, 8061, 4, 2 ]

[ 1, 16, 54, 30, 5, 53, 23, 54, 66, 16, 30, 5, 11, 54, 5, 16, 5, 28, 52, 14, 51, 5, 43, 20, 63, 64, 5, 17, 75, 5, 62, 23, 35, 41, 16, 52, 5, 41, 63, 39, 53, 5, 5, 3, 797, 1684, 2970, 3914, 5159, 6211, 7120, 8147, 860, 1622, 2806, 3825, 4704, 5678, 7152, 8147, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8147, 555, 1304, 3064, 4006, 4762, 5892, 7077, 8076, 788, 1349, 2873, 3692, 4800, 6000, 6604, 7706, 714, 2009, 2725, 3434, 4472, 5585, 6826, 7840, 830, 1728, 2951, 3329, 5182, 5301, 6226, 7840, 310, 1695, 2751, 3384, 4891, 5880, 6426, 8105, 897, 1695, 2273, 3422, 4804, 5510, 6382, 8000, 1090, 1821, 3147, 3870, 4219, 5863, 7229, 8016, 424, 1771, 2855, 4087, 5137, 6073, 7019, 7336, 641, 1271, 2365, 3671, 4536, 5694, 6668, 7957, 678, 1919, 2298, 3973, 4834, 5702, 6740, 7899, 678, 2028, 3080, 3602, 4359, 5981, 7160, 8076, 390, 1282, 3080, 3866, 4339, 5890, 6736, 7547, 211, 1989, 2724, 3188, 4359, 5695, 6740, 7908, 663, 1280, 2369, 3692, 5127, 5396, 6687, 8107, 678, 1139, 2352, 4150, 4925, 5558, 6752, 8025, 1090, 1141, 2533, 3271, 5143, 6007, 6648, 7631, 1084, 1141, 2133, 4096, 4346, 6002, 7098, 8214, 815, 1942, 2429, 3475, 4374, 5620, 6660, 7582, 752, 1141, 2348, 3363, 4270, 5441, 6463, 7262, 223, 1141, 2923, 4098, 4292, 6118, 7114, 7267, 802, 1141, 2175, 3392, 4588, 6118, 6872, 8012, 1062, 1768, 3020, 3869, 4237, 5993, 6691, 7442, 640, 1740, 3132, 3840, 4307, 5759, 6226, 7286, 145, 1284, 2995, 3264, 4273, 6021, 6949, 7567, 327, 1912, 2274, 3466, 4678, 5461, 7068, 7423, 966, 1470, 2961, 3854, 4678, 5594, 6710, 8091, 810, 1183, 2603, 3499, 5128, 5703, 6299, 8095, 722, 1183, 2603, 3332, 4241, 6154, 6819, 7854, 722, 2056, 2999, 3785, 4764, 5399, 6894, 8002, 391, 1317, 2316, 3437, 5124, 6189, 6801, 7813, 391, 1726, 2320, 3513, 5151, 5296, 6755, 7279, 676, 2056, 2189, 3416, 4497, 6086, 6620, 7755, 547, 1241, 2805, 3550, 4855, 6080, 6522, 7513, 504, 1685, 3037, 3675, 4650, 6064, 6668, 8219, 304, 1635, 2868, 4101, 4751, 6149, 6286, 7570, 804, 2065, 2880, 3866, 5073, 5834, 6774, 7985, 757, 2051, 2839, 3436, 4852, 5763, 6254, 7773, 334, 1108, 2468, 3726, 4764, 6063, 6859, 7602, 568, 1806, 2582, 3183, 5179, 5968, 6795, 7831, 752, 1930, 2717, 3904, 4384, 6204, 6293, 7827, 113, 1126, 2436, 3300, 4387, 5438, 6449, 7985, 487, 1403, 2382, 3994, 4604, 5315, 7158, 7404, 487, 1397, 2253, 3423, 4595, 5925, 6754, 7869, 1101, 1397, 2697, 3488, 4606, 5656, 6549, 8021, 1101, 1397, 2750, 3877, 5167, 5831, 6663, 7592, 1101, 1397, 2750, 3877, 4601, 5826, 6663, 7437, 465, 1541, 2725, 3424, 4298, 6164, 6899, 8166, 405, 1218, 2210, 3994, 5022, 5955, 6603, 8048, 1056, 1499, 3007, 3918, 4724, 6181, 6786, 7906, 308, 1924, 2315, 3803, 4583, 5832, 7111, 7677, 356, 1602, 2947, 3807, 4691, 5610, 6859, 7437, 308, 1938, 2315, 3595, 4225, 5677, 6871, 7919, 804, 2041, 3008, 4145, 4849, 6137, 7132, 7717, 818, 2000, 2949, 4011, 5038, 6175, 6709, 7717, 818, 1791, 2914, 3226, 4782, 5883, 6972, 8179, 935, 1791, 3110, 3893, 5061, 5635, 6996, 8066, 967, 2065, 3015, 3440, 4925, 5850, 6604, 8179, 484, 2065, 3143, 3374, 4872, 5220, 6786, 8054, 171, 2088, 2959, 3856, 4512, 6182, 6688, 8080, 186, 2073, 3143, 3374, 5166, 5963, 6589, 8266, 818, 2017, 3117, 4011, 4366, 5883, 7077, 7641, 510, 1700, 2781, 3226, 5038, 5705, 6515, 7806, 262, 1687, 2222, 3314, 4808, 5642, 6564, 7366, 485, 1240, 2152, 3967, 4254, 5772, 6874, 8251, 997, 1440, 2892, 3333, 4718, 5387, 6932, 8244, 875, 1440, 3148, 3153, 4842, 5894, 6426, 7375, 896, 2043, 2755, 4160, 4364, 6071, 6703, 7937, 535, 1900, 2173, 4044, 4756, 5483, 6476, 7274, 826, 1255, 2865, 3828, 4966, 5733, 6325, 8126, 1029, 1915, 2741, 4128, 4292, 5652, 6768, 7533, 104, 1402, 2741, 4015, 4333, 5976, 7133, 7462, 536, 2051, 2868, 4120, 4763, 5980, 6671, 7904, 443, 1883, 2915, 4128, 4331, 5321, 6700, 7627, 1040, 1352, 2741, 3868, 5036, 5954, 7072, 7508, 840, 1788, 2173, 3452, 4875, 5927, 6908, 8062, 778, 1149, 3149, 3220, 4760, 6202, 6838, 8100, 779, 1146, 2254, 3546, 4918, 5731, 7033, 7360, 684, 1581, 2943, 3540, 4852, 5646, 6776, 8107, 804, 1791, 2860, 3982, 4780, 5219, 7218, 7583, 308, 1750, 2781, 3945, 5153, 6129, 6613, 7558, 804, 1218, 2947, 3516, 4630, 6131, 7218, 7485, 308, 1218, 3110, 4171, 5166, 6103, 7084, 7723, 684, 1963, 3108, 3932, 4287, 5219, 7239, 8179, 308, 1945, 2793, 4011, 4822, 5832, 7218, 8080, 326, 1601, 2701, 3782, 5166, 5868, 7147, 7913, 650, 1989, 2298, 3305, 4856, 5633, 6885, 7643, 1024, 1867, 2348, 4044, 5080, 5500, 6801, 7957, 895, 1503, 2222, 3479, 5081, 6066, 6843, 8156, 1103, 1912, 2748, 3478, 4643, 5456, 7140, 7497, 360, 2043, 3011, 3934, 4778, 5800, 7144, 7790, 966, 1682, 2856, 3255, 4855, 5902, 6401, 8026, 485, 1609, 2978, 3313, 4381, 6055, 6556, 7751, 310, 1509, 2353, 3276, 4887, 5717, 7020, 7788, 611, 1346, 2700, 3693, 4637, 5347, 6592, 7362, 788, 1619, 2380, 3763, 4972, 5938, 6936, 7535, 1088, 1361, 2385, 3309, 4803, 5722, 6378, 7828, 216, 1606, 2915, 3792, 4636, 5295, 6863, 7951, 132, 1869, 2740, 3602, 4781, 5438, 6715, 7872, 186, 2032, 2729, 4171, 4896, 5866, 7160, 7521, 484, 2032, 2391, 3827, 5038, 5705, 7201, 7876, 935, 2032, 2340, 4164, 4287, 5832, 7152, 7776, 337, 2111, 3109, 3240, 4624, 6195, 7098, 8260, 91, 1396, 2802, 3710, 5073, 5378, 6823, 8013, 1015, 2073, 2340, 3440, 4764, 5413, 7140, 7845, 811, 2061, 2866, 3680, 4344, 6084, 6613, 7690, 450, 1468, 2705, 3645, 5106, 5863, 7163, 7611, 132, 1468, 2391, 3595, 4622, 5678, 6589, 8262, 105, 2028, 2730, 3595, 5040, 5364, 7132, 7727, 450, 1756, 2926, 4041, 4512, 6149, 6871, 7794, 767, 1773, 2221, 4174, 5104, 5777, 6630, 7303, 864, 1166, 2260, 3531, 5141, 5752, 7008, 7808, 493, 2066, 3090, 4087, 4545, 5499, 6805, 8163, 917, 2066, 2937, 4119, 4672, 5591, 6542, 7510, 266, 1800, 2698, 3880, 4565, 5783, 6731, 7873, 333, 1928, 2347, 3997, 4755, 5216, 6910, 8135, 386, 2110, 2690, 3989, 4550, 6204, 7112, 7490, 736, 1296, 2189, 3318, 4620, 6032, 6396, 7770, 887, 2070, 2425, 3877, 4543, 5245, 6446, 7872, 504, 1518, 2740, 3316, 4997, 5538, 7206, 7962, 271, 1239, 2330, 4086, 4728, 5761, 7065, 7311, 725, 1494, 2905, 3991, 4332, 6017, 6397, 7250, 887, 1412, 2905, 3537, 4562, 5589, 7013, 7470, 1022, 1141, 3106, 4083, 5017, 6070, 6850, 8193, 715, 1557, 2740, 3982, 4912, 5924, 6850, 7765, 225, 2059, 2998, 3474, 4901, 5276, 6914, 7962, 225, 1304, 2461, 3359, 4882, 6078, 6736, 7786, 225, 1851, 3141, 3391, 5088, 6076, 7051, 7721, 228, 1426, 2156, 3799, 5079, 5730, 7239, 7706, 228, 1593, 2791, 3528, 4859, 5500, 6584, 8202, 240, 2078, 2542, 3588, 4555, 6175, 7218, 7865, 228, 2065, 2781, 3391, 4916, 5223, 7152, 8126, 228, 2106, 2335, 3993, 4836, 5223, 7077, 8213, 256, 1550, 2781, 3648, 5166, 5640, 7152, 7557, 543, 1684, 2554, 4125, 4888, 5719, 6757, 7664, 186, 1684, 2554, 3470, 5159, 5792, 6579, 7664, 860, 1528, 2806, 3825, 4859, 6081, 6794, 8147, 488, 1622, 3065, 3825, 4555, 6139, 7226, 8196, 915, 1623, 2914, 3893, 4512, 5635, 7152, 8196, 105, 2106, 2833, 4071, 4622, 5276, 7090, 7732, 617, 2013, 2754, 3891, 4870, 6149, 6772, 8080, 617, 2013, 2287, 4071, 5130, 5385, 6809, 7715, 617, 2002, 2970, 4171, 4512, 5296, 6515, 8066, 617, 2002, 2636, 3550, 5053, 5811, 6443, 7906, 617, 2002, 2959, 3528, 4877, 6137, 6677, 7723, 617, 1974, 2959, 3827, 4611, 5515, 6607, 8266, 617, 1304, 2370, 3313, 5159, 5241, 6579, 8227, 617, 2111, 2340, 3550, 5159, 5550, 6810, 7707, 617, 2065, 2660, 4125, 4535, 5385, 6612, 7563, 552, 1750, 3147, 3550, 5012, 5515, 6740, 8261, 552, 2088, 2959, 3374, 5060, 5515, 6953, 8093, 337, 2065, 2860, 3512, 4624, 5901, 6408, 8093, 860, 2017, 2914, 4071, 5060, 6186, 6589, 7485, 488, 1528, 2806, 4018, 4624, 6211, 7077, 8196, 555, 2073, 3065, 4171, 4366, 5901, 6979, 8196, 814, 1898, 2721, 3972, 4877, 5522, 7041, 7709, 485, 1740, 2507, 3578, 4254, 5791, 6421, 7655, 803, 2050, 2849, 3610, 4843, 5649, 7078, 7704, 368, 2035, 2234, 3187, 4809, 5316, 7057, 7712, 1037, 2035, 2820, 3752, 5073, 5848, 6834, 8202, 1056, 1597, 2936, 3987, 4856, 6087, 6871, 7826, 440, 2097, 2352, 3639, 4387, 5586, 6469, 7549, 878, 1750, 3021, 4112, 4351, 6131, 7168, 7811, 552, 1147, 2899, 3662, 5193, 5890, 6986, 7501, 488, 2032, 2860, 4071, 5038, 5963, 6709, 8260, 488, 1475, 2164, 3803, 5060, 6131, 6996, 8237, 186, 2017, 2164, 3803, 4888, 6211, 6852, 8147, 488, 2017, 2781, 4071, 4888, 5901, 6630, 7485, 186, 2017, 2164, 3803, 4798, 6081, 7124, 7723, 186, 2017, 3065, 3825, 4624, 5635, 7124, 8076, 935, 1622, 3110, 3893, 4624, 5630, 6996, 7766, 186, 1528, 2164, 3825, 4888, 6139, 6794, 8066, 415, 1895, 2636, 4151, 4241, 5294, 7173, 8178, 274, 1199, 2628, 4093, 4991, 5853, 6486, 7309, 274, 2043, 2361, 3245, 4403, 5443, 6256, 8236, 183, 1490, 2579, 3251, 4549, 6160, 6563, 7519, 579, 1490, 2679, 3206, 4399, 5550, 6716, 7472, 759, 2088, 2652, 4044, 4267, 5223, 7109, 7965, 262, 1587, 3038, 3512, 4809, 5548, 6267, 8251, 805, 1217, 3132, 3843, 4686, 5260, 6957, 7361, 501, 1199, 2764, 3278, 4823, 5782, 6321, 7991, 517, 1400, 3085, 3211, 4655, 5615, 6354, 8058, 501, 1984, 3149, 3497, 4254, 5623, 6581, 8180, 472, 1708, 2189, 3600, 4539, 5634, 7108, 7758, 802, 1387, 3078, 3624, 4755, 5396, 6354, 7923, 123, 1665, 3126, 3847, 4292, 5735, 6803, 7762, 83, 1984, 2152, 3567, 4292, 5512, 6710, 7604, 1008, 1747, 2165, 4128, 4846, 5473, 6533, 7435, 1008, 1771, 2316, 3981, 4659, 5512, 6517, 7423, 1008, 1318, 2316, 3972, 4570, 5512, 6409, 7513, 961, 1743, 2316, 3187, 4857, 5288, 7085, 7539, 776, 1704, 2316, 3176, 4210, 5714, 6367, 7416, 1008, 1727, 2231, 3479, 4664, 6017, 7063, 7476, 1016, 2035, 2476, 3338, 4599, 6146, 7166, 7689, 1011, 1897, 3023, 3559, 4755, 6014, 6912, 7466, 663, 1992, 2783, 4017, 4589, 5966, 6911, 7563, 427, 1747, 2998, 3206, 4551, 5385, 7239, 7768, 878, 1791, 2947, 3226, 5097, 6128, 6953, 7962, 901, 2045, 2904, 3188, 5075, 5223, 6942, 7453, 878, 1326, 2263, 3440, 4870, 5678, 6953, 7563, 878, 1525, 2925, 3615, 4980, 5863, 6723, 7383, 878, 1750, 2473, 3233, 4215, 5811, 7207, 8185, 132, 1845, 3065, 3391, 4681, 5385, 6612, 7703, 684, 2046, 3021, 3487, 5165, 5602, 6844, 7303, 685, 2035, 2873, 3999, 4423, 5899, 6612, 8014, 166, 1469, 2353, 4038, 4664, 5928, 6365, 8075, 504, 2048, 3040, 3727, 4470, 5278, 6929, 7869, 1029, 1469, 3126, 3356, 5032, 5322, 6522, 7255, 986, 1428, 3040, 3610, 4772, 5220, 6390, 7973, 150, 1439, 3040, 4091, 5073, 5909, 6346, 7438, 1025, 2089, 2835, 3777, 5128, 6147, 6969, 8087, 1016, 2079, 2766, 3554, 5193, 5540, 6592, 7732, 1090, 2019, 2381, 3376, 4589, 5345, 6408, 7454, 390, 1728, 2880, 3681, 4895, 6150, 6620, 7677, 984, 1874, 3011, 3543, 5166, 6087, 7232, 8077, 256, 1304, 2803, 3394, 4611, 6149, 6433, 7919, 518, 1490, 3091, 3782, 4387, 5436, 7096, 7749, 878, 1525, 2746, 4096, 5104, 6137, 6840, 7498, 901, 1635, 3092, 3994, 5075, 6050, 6592, 7717, 256, 1648, 3095, 4011, 4583, 5219, 6810, 7715, 878, 1597, 3150, 3595, 4859, 6081, 7109, 7887, 878, 1490, 2971, 4161, 4681, 5438, 7221, 7707, 878, 2106, 2542, 4145, 4512, 5767, 6717, 8188, 579, 2060, 3064, 3994, 4611, 5548, 6717, 8093, 132, 1684, 2340, 3662, 5129, 5981, 6677, 7876, 959, 1966, 2936, 4174, 5020, 5761, 7197, 7806, 1033, 1386, 2224, 3836, 4813, 6120, 6352, 7939, 1016, 1208, 2627, 3678, 5042, 5900, 6744, 7928, 344, 1208, 2958, 3642, 4547, 5545, 6955, 7545, 492, 1736, 2927, 3793, 4457, 5700, 6241, 7841, 993, 1510, 2432, 3745, 5118, 5602, 6906, 7451, 491, 1581, 2156, 3788, 4811, 5444, 6520, 7478, 807, 1938, 2602, 3298, 4711, 6104, 6443, 8145, 139, 2003, 2268, 3393, 4849, 6109, 6224, 7880, 693, 1388, 2751, 3190, 4426, 5597, 6958, 8169, 487, 1540, 2313, 3516, 4604, 5609, 7095, 7962, 545, 1700, 2260, 3726, 4298, 5767, 7048, 8218, 103, 1906, 2133, 3741, 4298, 5750, 6838, 7474, 575, 1942, 2797, 4021, 4298, 6151, 7002, 8188, 103, 1562, 3018, 4147, 4784, 5648, 6615, 7638, 504, 1289, 2288, 3904, 4989, 5610, 7146, 7800, 678, 1782, 3144, 3372, 5040, 5613, 7229, 8161, 643, 1834, 2144, 3751, 5075, 5710, 6590, 7759, 940, 1411, 2771, 3649, 4439, 6215, 7094, 7846, 970, 1324, 2940, 4103, 4985, 6033, 6871, 7753, 779, 1747, 2440, 3909, 4533, 5705, 6820, 7481, 831, 2068, 2740, 3838, 4912, 6131, 7100, 7421, 424, 1164, 2728, 3410, 4379, 6120, 6740, 8017, 610, 1858, 2315, 3660, 4588, 6085, 6702, 7255, 663, 1992, 2440, 3231, 4792, 5983, 6898, 8083, 779, 2068, 2946, 4039, 5159, 5983, 6776, 7485, 779, 1430, 2582, 3945, 4861, 6085, 7220, 7664, 779, 1998, 2960, 3645, 4426, 6195, 6979, 7723, 1056, 2000, 2760, 3472, 4885, 5630, 6515, 8179, 804, 2046, 3064, 4108, 5061, 5883, 7239, 7723, 1097, 1467, 2960, 3710, 4912, 5883, 7058, 8083, 956, 2046, 3117, 3990, 4366, 5241, 6972, 7485, 488, 2046, 3008, 3825, 4822, 6139, 6979, 8147, 818, 2017, 2806, 3982, 4630, 5241, 6972, 7723, 488, 1528, 2806, 3982, 5104, 6139, 7124, 8223, 488, 1528, 2806, 3982, 4624, 6081, 6794, 7949, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 43, 48, 5, 33, 54, 30, 16, 30, 5, 28, 26, 5, 64, 39, 44, 55, 5, 5, 3, 915, 1345, 3021, 4145, 5159, 5438, 7152, 8147, 555, 1623, 3021, 4166, 4387, 5832, 6972, 8147, 488, 1528, 3117, 3367, 4798, 5901, 7120, 7715, 142, 1528, 2914, 3825, 4704, 6139, 7226, 8196, 419, 1623, 2947, 4071, 5038, 5635, 7124, 8237, 756, 2008, 2492, 3623, 4801, 5899, 7163, 8102, 487, 1315, 2257, 4000, 4885, 6135, 7087, 7740, 557, 1550, 2531, 3936, 4539, 5423, 6760, 8033, 1004, 1550, 2693, 4103, 4604, 5454, 6478, 7436, 737, 1550, 2520, 3251, 4651, 5224, 7221, 7740, 582, 2053, 3091, 3376, 4580, 5709, 6224, 7248, 582, 1550, 2492, 3704, 4542, 5719, 6898, 7798, 807, 1550, 2183, 3356, 4853, 5523, 7086, 7966, 986, 2033, 3091, 3826, 4576, 5347, 6740, 7913, 487, 1768, 3040, 3476, 4371, 6154, 7118, 7796, 737, 1550, 2292, 3727, 4943, 5884, 6870, 8061, 896, 1550, 2751, 4102, 5005, 5921, 7051, 7416, 989, 1550, 3019, 3329, 4848, 5485, 6432, 7317, 1004, 1826, 2726, 3792, 4377, 5972, 7164, 7652, 363, 1673, 2717, 3566, 4347, 5825, 6957, 7261, 730, 1356, 2210, 3413, 4935, 5257, 6241, 7617, 249, 1621, 2487, 4152, 4884, 5579, 6828, 7531, 632, 1363, 2346, 4128, 4814, 5783, 7001, 8149, 1080, 1264, 2987, 3616, 4593, 5539, 6592, 7273, 401, 1623, 2456, 3298, 4423, 6187, 6225, 7677, 223, 1669, 2693, 4106, 5042, 5908, 7128, 8195, 731, 1531, 2829, 3575, 4991, 5433, 6967, 8013, 391, 1244, 2377, 4004, 5164, 5333, 6240, 7677, 948, 1640, 2868, 3426, 5051, 5677, 7207, 8260, 1047, 1333, 2678, 4026, 4954, 5260, 7133, 7480, 131, 1541, 2464, 3254, 4311, 5313, 6224, 7976, 98, 1719, 2961, 3344, 4590, 5958, 6716, 7551, 200, 1645, 2625, 3599, 5193, 5357, 6956, 8178, 1038, 2118, 2379, 3623, 5072, 6031, 6269, 7862, 914, 1938, 2429, 3994, 4801, 5802, 6612, 7627, 510, 1120, 2924, 3487, 5088, 5586, 7232, 8260, 512, 1924, 2833, 4145, 4589, 5635, 6830, 8260, 684, 2068, 2833, 3962, 5129, 5749, 6540, 7260, 684, 1705, 2991, 3945, 4780, 5678, 7168, 7948, 959, 1777, 2151, 3566, 5088, 5873, 6302, 7480, 779, 1833, 3098, 3826, 4870, 5796, 6284, 7957, 1036, 1855, 2607, 4013, 5044, 5990, 7158, 7962, 580, 1205, 2937, 3604, 4383, 6034, 7174, 7409, 584, 1195, 3091, 3960, 4545, 6089, 6781, 7333, 360, 1679, 2464, 3267, 4479, 5593, 6675, 7502, 493, 1959, 3091, 3770, 5161, 6116, 6413, 8038, 261, 1627, 3091, 3496, 4356, 5957, 6807, 7983, 546, 2058, 2638, 3616, 4220, 6118, 7194, 8189, 1017, 1834, 2705, 3332, 4525, 5613, 6601, 8092, 884, 1732, 2464, 3465, 4183, 5664, 6408, 7648, 103, 2009, 2656, 3504, 4868, 5585, 6612, 8190, 518, 1675, 2679, 4115, 5097, 5795, 7150, 7580, 195, 1961, 2731, 3798, 4757, 5811, 6901, 7846, 654, 1961, 3147, 3468, 5143, 5723, 6338, 7492, 240, 1304, 2730, 3555, 5138, 6097, 6688, 7781, 518, 1570, 2691, 3753, 4334, 6195, 6474, 7831, 518, 1851, 3109, 3798, 5101, 5216, 6563, 7865, 195, 1454, 2581, 3550, 4737, 6131, 6688, 8130, 518, 1304, 2316, 3681, 4560, 5515, 7160, 7865, 518, 1386, 3133, 3873, 4691, 5556, 6840, 7838, 317, 2111, 2316, 3681, 4912, 5861, 7219, 8262, 160, 1190, 2487, 3478, 4306, 5313, 7008, 8235, 728, 1268, 2271, 3376, 5174, 5320, 6984, 7917, 363, 2118, 2929, 4106, 4351, 5880, 6637, 7648, 943, 1842, 2495, 3394, 4354, 6034, 6799, 8057, 723, 1442, 2464, 3329, 4571, 5454, 6403, 8133, 994, 2009, 2327, 4066, 4302, 5257, 6628, 7742, 1019, 2027, 2610, 3227, 4539, 5618, 6241, 8161, 458, 1550, 3106, 3570, 5097, 5716, 6241, 8146, 137, 1397, 2339, 3496, 4755, 6062, 7071, 8160, 1101, 1389, 2448, 3936, 4351, 6033, 6595, 7726, 487, 1393, 2253, 3423, 4552, 6145, 7200, 7408, 884, 2027, 3029, 3943, 5148, 5486, 6821, 7999, 884, 1842, 3066, 3227, 4604, 5457, 6702, 7396, 137, 1708, 2383, 3187, 4739, 6122, 6376, 7689, 880, 1969, 3066, 3969, 4578, 6192, 6748, 7398, 1019, 1942, 2352, 4010, 4873, 5456, 6663, 7318, 487, 1150, 2258, 3434, 4604, 6146, 6582, 7657, 487, 1403, 2795, 4029, 4535, 6154, 6701, 8220, 986, 1924, 2777, 3936, 5040, 5792, 6545, 8168, 887, 1550, 2678, 3799, 4555, 6085, 7017, 7873, 271, 1831, 2829, 3218, 4651, 5296, 7114, 8128, 1025, 1685, 2736, 3756, 5146, 5965, 7076, 7684, 826, 1858, 2793, 4096, 4839, 6171, 6674, 8143, 826, 1858, 2688, 4096, 4541, 5792, 6526, 7991, 778, 1570, 2937, 4162, 4541, 5769, 6908, 8140, 857, 1369, 2818, 3664, 4985, 5396, 6892, 8061, 956, 2000, 2593, 3662, 5080, 5952, 6393, 7716, 186, 1791, 2991, 3188, 4822, 6182, 7077, 7887, 818, 1998, 2806, 4011, 4622, 5241, 6515, 8260, 956, 1620, 3117, 4145, 5061, 5981, 7201, 7876, 1099, 2000, 2946, 3188, 5104, 5832, 7006, 8147, 555, 2000, 2730, 3891, 4630, 6103, 7120, 8237, 555, 2111, 2554, 4071, 4681, 6129, 6972, 8237, 859, 1332, 2554, 3891, 5157, 6137, 6996, 8179, 859, 1332, 2775, 4171, 4859, 5981, 6515, 7732, 859, 2065, 3143, 4166, 5007, 5963, 6752, 7732, 555, 2111, 2970, 3376, 4700, 6081, 6677, 8132, 4, 2 ]

[ 1, 65, 14, 52, 5, 26, 5, 66, 63, 26, 5, 66, 73, 5, 65, 57, 5, 77, 73, 5, 41, 52, 20, 63, 16, 54, 64, 5, 54, 26, 66, 44, 55, 42, 38, 52, 5, 14, 66, 5, 64, 33, 75, 16, 54, 66, 48, 54, 5, 5, 3, 945, 1528, 2806, 3825, 5166, 6081, 7124, 8147, 860, 2017, 2806, 3893, 4704, 6139, 7124, 8223, 797, 1528, 2914, 3825, 4624, 6139, 7226, 8147, 617, 1935, 2839, 4124, 5088, 5811, 6752, 7723, 568, 1971, 2839, 3236, 4205, 5219, 6786, 8047, 568, 1958, 3133, 4103, 4706, 5586, 7090, 7697, 334, 1286, 2946, 3879, 4374, 5218, 6809, 8132, 568, 1695, 3059, 3605, 4423, 5942, 7098, 8199, 859, 1876, 3144, 3891, 4881, 5935, 7181, 7376, 731, 2111, 2945, 3413, 4529, 5266, 6871, 7906, 318, 1234, 2848, 3968, 4609, 5500, 6616, 8197, 943, 1141, 2940, 3536, 4636, 5477, 6866, 8086, 386, 1812, 2361, 3479, 5031, 5517, 6548, 7602, 864, 2066, 3073, 3963, 4442, 5473, 6798, 7296, 1011, 2035, 3040, 4085, 4537, 5816, 6677, 8205, 731, 1972, 2858, 3420, 4653, 5856, 6333, 7508, 1064, 1222, 2130, 3854, 4666, 5745, 7024, 8186, 1064, 1338, 2603, 3450, 5124, 5205, 6743, 7265, 639, 1509, 2869, 3488, 4316, 5361, 6392, 7927, 850, 1596, 2298, 4081, 5007, 5581, 6901, 8012, 1084, 1905, 2953, 3807, 4834, 5540, 6655, 8102, 391, 1561, 2761, 3610, 5143, 6034, 6705, 7598, 731, 1561, 2503, 3217, 4220, 5433, 6772, 8081, 731, 1141, 2578, 3236, 4681, 6182, 6251, 8125, 510, 1280, 3128, 3771, 4859, 5963, 7111, 7838, 488, 2001, 3135, 3440, 4287, 5241, 7201, 8188, 935, 1508, 2781, 4171, 4558, 5630, 6709, 7723, 967, 1508, 2709, 3226, 5104, 5963, 6752, 7677, 421, 1736, 3147, 3292, 4411, 6010, 6772, 7447, 334, 1424, 2242, 3704, 5167, 5589, 6734, 7442, 874, 1141, 2468, 3891, 4795, 6002, 6291, 8187, 541, 2060, 2868, 3364, 4622, 5689, 6672, 7555, 579, 1851, 2860, 3930, 4918, 5581, 6467, 7359, 473, 1705, 2989, 4174, 4514, 5886, 6713, 8047, 408, 1173, 2258, 4097, 4588, 6083, 6658, 7650, 360, 1512, 2764, 3340, 4422, 5624, 7033, 7296, 862, 1173, 2299, 3218, 5039, 6215, 6933, 8213, 864, 1490, 2633, 3992, 4425, 5686, 6386, 8077, 862, 1496, 2869, 3975, 4904, 5691, 6506, 7516, 1101, 1267, 2869, 3316, 4734, 5671, 7031, 7943, 1052, 1171, 3147, 4159, 4213, 5311, 6696, 7988, 759, 1692, 2596, 3720, 4683, 5791, 7219, 7841, 1102, 1782, 3032, 3936, 4554, 5650, 6988, 7717, 804, 2063, 2991, 3990, 4918, 5216, 6467, 7718, 935, 2065, 2975, 4018, 4912, 5883, 7201, 7574, 495, 2098, 2491, 4106, 4795, 6114, 6727, 7293, 874, 1116, 2760, 3591, 4859, 5681, 6725, 7959, 1071, 1570, 2282, 3575, 4538, 5963, 6776, 7761, 1033, 1510, 2666, 3920, 4611, 6164, 6543, 8031, 113, 1858, 2172, 3870, 5188, 5725, 6702, 7426, 1011, 1397, 2798, 3537, 4682, 6215, 7030, 7311, 160, 1732, 3005, 3314, 4444, 5837, 7033, 8076, 757, 1369, 2629, 4026, 4435, 5706, 7103, 7954, 334, 1286, 3038, 4128, 4682, 5830, 6286, 7772, 334, 1958, 2156, 3227, 4881, 5534, 6575, 7609, 334, 1289, 2944, 3171, 4852, 6182, 6718, 7252, 225, 1289, 2971, 3930, 5075, 5723, 6575, 7284, 334, 1289, 3150, 3914, 4267, 5610, 7103, 8056, 334, 1564, 2595, 3596, 4789, 5436, 7103, 7873, 334, 1286, 2740, 4026, 4486, 5972, 6635, 7510, 568, 1133, 2468, 4005, 4321, 6216, 7109, 7878, 334, 1286, 2693, 3930, 4541, 5668, 6511, 7275, 568, 1269, 2740, 3923, 4863, 5908, 7024, 7838, 568, 1958, 2341, 3352, 4793, 5913, 7207, 7967, 568, 1289, 2468, 3782, 4411, 6149, 7035, 7962, 757, 2127, 3139, 3904, 4945, 5844, 6607, 7706, 356, 1510, 2880, 3352, 4863, 6163, 6740, 8262, 211, 1340, 2210, 3930, 5125, 5223, 6388, 7753, 223, 1794, 2958, 3405, 4633, 5745, 6603, 7910, 895, 1545, 2378, 3943, 4876, 6144, 6456, 8150, 665, 2009, 2378, 3418, 4778, 6119, 6255, 7276, 569, 1630, 2309, 3649, 4274, 5212, 7240, 7902, 778, 1725, 2389, 4137, 4499, 5723, 7043, 7954, 104, 1838, 2480, 3430, 4738, 6067, 6710, 8253, 850, 1838, 2639, 3762, 5124, 5761, 6525, 7398, 826, 1326, 2234, 4102, 5084, 6119, 6903, 7869, 104, 1660, 3091, 4014, 4644, 6117, 6703, 7927, 778, 1141, 2737, 3488, 4646, 5512, 6720, 7707, 104, 1139, 2352, 4162, 5183, 5765, 6985, 7724, 778, 2013, 2156, 3358, 4912, 5765, 6614, 7851, 103, 1350, 3053, 3967, 4870, 5472, 6648, 7801, 103, 1932, 2945, 3741, 4448, 6131, 6431, 7811, 103, 1553, 2801, 3967, 4215, 6221, 6668, 7476, 103, 2107, 2250, 3975, 4550, 5746, 6888, 7801, 986, 1797, 2974, 3812, 4402, 5250, 6497, 8117, 614, 1808, 2352, 3605, 5162, 5757, 7094, 7743, 986, 1250, 2506, 3642, 4604, 6180, 6982, 8000, 850, 1116, 2156, 3358, 4687, 6163, 6579, 7248, 778, 2065, 2156, 4064, 5098, 6002, 6853, 7536, 104, 1509, 2564, 3642, 4732, 5444, 6768, 7955, 104, 1509, 2503, 3498, 5183, 5565, 6883, 7677, 887, 1850, 2868, 3298, 4429, 5344, 6736, 8077, 887, 1778, 3092, 3543, 4873, 5780, 6413, 8161, 299, 1838, 2847, 3946, 4875, 5368, 7033, 7752, 150, 2053, 2130, 3601, 4873, 6115, 7246, 7902, 150, 2053, 2847, 3601, 5175, 5558, 6350, 7554, 887, 1499, 2895, 3579, 4543, 5898, 6477, 8145, 887, 1499, 2292, 4011, 4873, 5689, 7109, 7604, 887, 1318, 3075, 3681, 4834, 5654, 6786, 7532, 645, 1773, 3043, 4171, 5165, 5694, 6770, 7494, 878, 1918, 2957, 3961, 4541, 5678, 6898, 7707, 518, 1490, 2833, 3364, 4555, 5767, 7006, 7839, 901, 1332, 3008, 3710, 4512, 5689, 6478, 8237, 518, 2000, 3000, 3932, 4918, 5624, 6251, 7252, 518, 2097, 3008, 3364, 5061, 5901, 7232, 7732, 518, 1648, 3000, 3891, 4978, 6129, 6677, 8262, 489, 1623, 2542, 3364, 5088, 6149, 7160, 7941, 757, 1858, 2163, 3206, 4780, 5955, 6630, 8225, 356, 1269, 3021, 3951, 4622, 5216, 7103, 7806, 756, 1248, 2858, 3540, 5053, 5844, 6957, 7865, 650, 1591, 2309, 3478, 4324, 5855, 6348, 7494, 113, 1469, 2144, 3653, 4383, 5209, 6921, 7521, 826, 2035, 2361, 3830, 4621, 6146, 6663, 7901, 664, 1199, 3010, 3212, 4774, 5928, 6517, 7787, 635, 1938, 2393, 3966, 4477, 5878, 6509, 7803, 723, 1633, 2774, 3790, 4833, 5551, 7008, 8140, 493, 1919, 2130, 3385, 5081, 5253, 6398, 7954, 247, 1582, 2450, 4073, 4604, 5914, 6696, 7708, 1080, 1156, 3151, 3936, 4565, 6042, 7192, 7787, 360, 1831, 2741, 3549, 4805, 5947, 6760, 7897, 840, 1350, 2142, 4030, 4730, 6098, 6659, 7462, 404, 1521, 2291, 4073, 4804, 6021, 6957, 8242, 536, 2039, 2848, 4079, 5161, 5871, 6734, 8100, 492, 1603, 2332, 4030, 4205, 6090, 7116, 7504, 993, 1632, 2349, 3165, 4930, 5864, 6781, 8243, 535, 1299, 2349, 3304, 4552, 5799, 6494, 8139, 895, 1244, 3075, 4008, 4875, 5518, 6570, 8118, 850, 1633, 2429, 3952, 4333, 5325, 6314, 8017, 826, 1676, 2990, 3410, 4762, 5687, 6309, 7962, 887, 1881, 2515, 3917, 4467, 5784, 6349, 7329, 104, 1633, 2899, 3430, 4444, 5767, 6254, 7677, 1025, 1918, 2989, 4087, 4611, 5500, 6706, 8099, 756, 1463, 2282, 3832, 4543, 5787, 6918, 8238, 225, 2114, 2175, 3976, 5072, 6094, 6939, 7447, 225, 2002, 2132, 3753, 4715, 6085, 6732, 7878, 225, 2111, 2132, 3723, 4350, 5962, 6338, 8195, 240, 1525, 2466, 3623, 4512, 5223, 7019, 8267, 240, 1623, 3133, 3376, 4193, 5678, 7095, 8164, 240, 1750, 2904, 3394, 4329, 5901, 7207, 8129, 818, 1623, 3135, 3726, 4387, 5413, 7100, 7477, 818, 1622, 2560, 3516, 4877, 5678, 6579, 7782, 510, 1623, 2838, 3838, 4859, 6205, 6338, 7876, 685, 2090, 2803, 4145, 5159, 5565, 6657, 8203, 160, 1630, 2944, 3398, 5098, 5927, 7207, 7878, 778, 1269, 2974, 3229, 4920, 5954, 6899, 7962, 104, 1918, 2272, 3427, 4826, 5413, 6828, 7784, 535, 1596, 2715, 3479, 4978, 6181, 6908, 7955, 862, 1119, 2953, 3936, 4945, 5363, 6267, 7937, 702, 1735, 2240, 4015, 4995, 5970, 7079, 7812, 396, 1828, 2972, 3533, 5075, 6141, 6282, 7584, 810, 2118, 3010, 3271, 4607, 5792, 6610, 8197, 1036, 1283, 2848, 4053, 4962, 6077, 6468, 7955, 1019, 1507, 2625, 3356, 4734, 5508, 6275, 8061, 666, 1942, 2871, 4073, 4604, 6222, 6957, 8189, 487, 1954, 2258, 3924, 4274, 5992, 6984, 7869, 807, 1444, 2156, 3613, 4459, 5749, 6225, 7695, 391, 1164, 2703, 4137, 4321, 5208, 6736, 7913, 356, 1146, 2872, 3913, 4691, 6125, 6397, 7896, 356, 1705, 2779, 3649, 4593, 5684, 6540, 7558, 756, 1623, 2895, 3710, 4512, 6131, 6776, 7816, 844, 1633, 2315, 3513, 4555, 5536, 6614, 7732, 750, 1889, 2365, 4087, 4949, 6016, 7072, 8225, 487, 1141, 2470, 3417, 4533, 5746, 6251, 7529, 1024, 1205, 2874, 3714, 5111, 5874, 6325, 7911, 806, 1773, 2751, 3756, 5005, 5441, 6813, 8248, 850, 1858, 3061, 3660, 4571, 5441, 6484, 8208, 887, 1164, 2163, 3521, 4385, 6080, 6255, 8171, 850, 1671, 2429, 3395, 4791, 5935, 7008, 7545, 778, 1269, 3076, 3543, 4573, 5286, 7014, 7941, 104, 1269, 2480, 4115, 4259, 5784, 6985, 7986, 1025, 1399, 2750, 3271, 4791, 6171, 6498, 7777, 408, 1269, 2990, 3853, 4893, 6007, 6525, 7846, 391, 2024, 2429, 3848, 4896, 6080, 6702, 7962, 940, 1858, 3007, 3870, 4359, 5797, 6892, 7887, 390, 1407, 2940, 3956, 4780, 5661, 7010, 7706, 757, 1550, 2435, 3562, 4579, 6218, 6726, 7812, 715, 1550, 2167, 3671, 5160, 6128, 6986, 7478, 103, 1369, 2554, 3649, 4590, 5650, 7043, 7375, 487, 1397, 3141, 3474, 4205, 6167, 6733, 8178, 1036, 1550, 2734, 3714, 4340, 5656, 6883, 8033, 234, 1881, 2751, 3417, 5151, 6181, 6889, 7606, 862, 1399, 2720, 3943, 4371, 5437, 6462, 8033, 1080, 1397, 2847, 3764, 5155, 5640, 6632, 7869, 995, 1732, 2992, 3358, 5151, 6007, 6426, 7574, 1084, 1118, 2751, 3764, 5134, 6191, 7055, 7904, 938, 1561, 2915, 3575, 4437, 6135, 6611, 7817, 862, 1653, 2396, 3261, 5097, 5976, 6606, 8151, 569, 1918, 2506, 3399, 5072, 5610, 6458, 7955, 113, 1507, 2818, 4067, 4571, 6117, 6813, 8099, 976, 1346, 2547, 3943, 4834, 6117, 6354, 7452, 271, 1407, 2871, 3499, 4506, 5387, 6765, 7676, 569, 1199, 3130, 3601, 4444, 5408, 6265, 8032, 1003, 1972, 2173, 3540, 4666, 5408, 7229, 7369, 1025, 1740, 3061, 3161, 4930, 5233, 6476, 7428, 938, 1740, 3101, 3533, 4930, 5810, 6710, 7799, 1024, 2063, 2573, 3233, 5138, 5350, 6224, 7457, 692, 1496, 2520, 4007, 4981, 5365, 6254, 7264, 938, 1510, 3003, 3630, 4604, 5320, 6762, 7745, 938, 1349, 2156, 3192, 4562, 5810, 6846, 8099, 715, 1485, 2629, 3498, 4411, 5796, 6244, 8100, 419, 1750, 2947, 3994, 4877, 5216, 7207, 8195, 818, 2068, 3095, 4108, 5165, 5883, 7084, 8147, 789, 1304, 2996, 3440, 5159, 5678, 7010, 7876, 127, 1623, 2970, 3595, 4648, 5811, 7103, 7547, 654, 1847, 2953, 3873, 4387, 5719, 7157, 7549, 518, 2127, 2746, 3277, 4622, 5830, 7239, 7262, 518, 2127, 2356, 4015, 4398, 5515, 7090, 7865, 195, 1935, 3052, 3227, 4904, 5586, 7051, 7715, 654, 1345, 2287, 4096, 5007, 5962, 7006, 7887, 518, 1979, 3139, 4174, 5083, 5962, 6889, 8044, 256, 2118, 2473, 4174, 4622, 5624, 6757, 8080, 617, 1826, 3098, 4161, 4918, 6205, 7059, 8262, 160, 1373, 2944, 3832, 4691, 5216, 6343, 8058, 1019, 1349, 2313, 3894, 4539, 5902, 6917, 7756, 997, 1597, 2484, 3765, 5114, 6076, 6957, 8139, 546, 1489, 2625, 4025, 4800, 5955, 6255, 7549, 396, 1273, 2355, 4003, 4404, 5814, 6866, 7436, 371, 1455, 2365, 3613, 4905, 5393, 7229, 7549, 959, 2068, 3080, 3300, 5127, 6051, 7028, 7256, 308, 2001, 2803, 3932, 4324, 6163, 7175, 7644, 844, 1956, 2678, 3540, 4651, 5998, 6919, 8260, 708, 2091, 2293, 3314, 4985, 5998, 6570, 7395, 761, 1299, 2678, 3513, 4773, 5752, 6231, 7476, 895, 1826, 2891, 3508, 4946, 5810, 6715, 7720, 1025, 1350, 2414, 3979, 4918, 5539, 7114, 7887, 826, 1676, 2750, 3201, 4334, 5761, 6716, 8069, 778, 1755, 2888, 4145, 4936, 5952, 6776, 7902, 831, 1778, 3033, 3696, 4867, 5579, 6260, 8237, 663, 1919, 3061, 3645, 4365, 6175, 6286, 7485, 914, 1120, 3144, 3271, 4387, 5366, 7048, 7311, 818, 1998, 3007, 4108, 4287, 6129, 6786, 7717, 935, 1620, 3135, 3226, 4551, 6014, 6752, 8083, 878, 2068, 3133, 4145, 4611, 5687, 7096, 8236, 824, 2013, 2282, 3550, 4780, 5776, 6877, 7643, 225, 1349, 2608, 3798, 4658, 5874, 6757, 7570, 183, 1684, 3147, 3982, 4387, 5901, 6895, 7485, 356, 1467, 3021, 3990, 4387, 6146, 7230, 7865, 390, 1460, 3022, 3873, 4797, 6128, 7100, 8066, 390, 2053, 2941, 4135, 4954, 5298, 7090, 7279, 986, 1932, 2751, 3593, 4902, 6200, 6574, 8061, 487, 1255, 2728, 3649, 4736, 5474, 6529, 7279, 545, 1700, 3116, 3472, 4622, 6073, 6702, 7702, 582, 1577, 3080, 4125, 4945, 5761, 6799, 7318, 831, 1942, 3149, 4021, 4288, 5514, 7222, 8232, 986, 1581, 2340, 3472, 4364, 5787, 6241, 8206, 643, 1553, 2515, 3828, 4949, 6119, 6813, 7494, 970, 1807, 3005, 3937, 4298, 5620, 6547, 7476, 504, 1706, 2817, 3472, 4589, 5384, 7099, 7559, 806, 1289, 2292, 3770, 4321, 5637, 7094, 7542, 1025, 1492, 2923, 3300, 4437, 5320, 6832, 8086, 887, 1244, 2346, 3918, 4900, 6221, 6238, 8213, 850, 1676, 2503, 3770, 4622, 5980, 6592, 7721, 424, 1685, 2481, 3741, 4305, 5589, 7075, 7678, 1011, 1808, 2436, 4085, 4218, 5200, 6708, 7629, 1024, 1671, 2923, 4096, 4604, 5216, 6941, 8257, 1090, 1363, 2946, 3361, 5166, 5981, 6668, 7260, 610, 1881, 2902, 4082, 4379, 5761, 6899, 7962, 831, 1227, 2887, 3922, 5104, 5978, 7220, 8132, 940, 1399, 2989, 3540, 5088, 5565, 6702, 8195, 955, 1915, 2803, 3188, 5159, 5534, 7207, 8237, 955, 1777, 3008, 3516, 4179, 5661, 7084, 8237, 1056, 1850, 2783, 4174, 4287, 5911, 6584, 7485, 955, 2079, 3135, 3990, 5104, 6195, 6809, 7876, 308, 1809, 2783, 4171, 5104, 6146, 6515, 7876, 1099, 1963, 3135, 4068, 4980, 5612, 6996, 8083, 915, 2041, 3128, 4108, 4704, 6129, 6786, 7949, 818, 1963, 3128, 4108, 4980, 5241, 6979, 7949, 488, 2017, 2914, 3893, 5038, 6139, 6972, 8147, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8147, 488, 1622, 2914, 3893, 5104, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6129, 7077, 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, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 5, 28, 63, 48, 78, 5, 64, 62, 63, 14, 55, 5, 17, 62, 5, 5, 3, 488, 2017, 3117, 3932, 4704, 5705, 7201, 8147, 915, 1508, 2806, 3825, 5058, 5241, 7077, 8147, 639, 1723, 3098, 4026, 5143, 6008, 6929, 8038, 595, 1503, 2227, 3486, 4906, 5696, 6929, 7574, 781, 1503, 2304, 3254, 5072, 5909, 6871, 7593, 643, 1503, 2539, 3540, 4557, 6026, 7229, 7652, 779, 1797, 2783, 3400, 4583, 6026, 6525, 7823, 304, 1637, 2708, 3226, 4782, 5294, 6996, 7720, 571, 1467, 2998, 3188, 4630, 5834, 6408, 7949, 308, 1523, 2860, 3819, 5166, 6085, 6810, 7290, 512, 2000, 2520, 4071, 4583, 6103, 6988, 7421, 512, 1675, 2803, 3909, 5104, 6103, 7077, 7658, 401, 2125, 2947, 3803, 5058, 5978, 7220, 8267, 390, 1869, 3043, 3886, 4822, 5534, 7077, 8195, 886, 1965, 2664, 3826, 4213, 5250, 7099, 8205, 722, 1700, 3099, 3759, 4993, 5250, 6328, 8030, 948, 1874, 2910, 3318, 4780, 6084, 7038, 8150, 1003, 1450, 2608, 4100, 5141, 5613, 6976, 8259, 204, 1396, 2968, 3300, 5023, 5890, 6528, 8152, 408, 1327, 2752, 3598, 4996, 5491, 6595, 7551, 404, 1141, 2789, 3310, 4377, 5296, 6601, 7789, 722, 1742, 2378, 3471, 4346, 5958, 6665, 7413, 930, 1510, 2542, 3870, 5081, 5470, 7224, 8099, 397, 2113, 2487, 3967, 4801, 5767, 6924, 8246, 545, 1889, 2717, 3600, 5122, 5223, 6876, 8262, 902, 1277, 3091, 4120, 4238, 5250, 6802, 7959, 545, 1252, 2658, 3385, 4238, 5297, 6525, 7821, 545, 1326, 2453, 3245, 5114, 5797, 7181, 7655, 582, 1331, 2311, 3333, 4617, 5995, 6768, 7902, 613, 1118, 2225, 3464, 4598, 6135, 7099, 7873, 986, 1668, 2311, 3773, 4620, 5396, 6468, 7881, 1033, 1674, 2629, 4137, 4931, 5262, 6918, 7669, 160, 1674, 2561, 4137, 4337, 5613, 7114, 7529, 1025, 2008, 2156, 3728, 5185, 5493, 6485, 8262, 1025, 1674, 2453, 3421, 4592, 5425, 6986, 7677, 1025, 1674, 2463, 3238, 4338, 5370, 6668, 7954, 610, 1577, 2148, 3986, 4954, 6178, 6237, 8149, 424, 2126, 2946, 3576, 4392, 5441, 7192, 7920, 487, 2079, 2646, 3848, 4448, 6135, 6603, 7852, 986, 1932, 2453, 3375, 5067, 6135, 6348, 8240, 582, 2063, 2579, 3421, 4800, 5740, 6803, 7713, 424, 2053, 2579, 3631, 4218, 5474, 6763, 7888, 1059, 1732, 2579, 3358, 4509, 5993, 7140, 7535, 831, 1570, 3046, 3749, 4609, 6034, 6632, 7582, 715, 1906, 2316, 3502, 4942, 6002, 7205, 8095, 1059, 1732, 2152, 3603, 4189, 5781, 6883, 8170, 317, 1932, 2258, 3792, 4727, 5480, 6340, 7451, 228, 1994, 2316, 3208, 5042, 5600, 6461, 8041, 518, 1519, 2833, 3904, 4611, 6180, 6584, 7954, 654, 2034, 2783, 3564, 4870, 5844, 7001, 7715, 654, 1304, 3147, 4113, 4870, 5811, 7084, 8267, 654, 1108, 2858, 3555, 4715, 5677, 6889, 7494, 127, 2034, 2221, 3171, 5091, 6137, 7010, 8076, 518, 1653, 2529, 3681, 4870, 6131, 7019, 8126, 518, 1756, 2941, 3298, 4782, 6065, 6909, 7838, 183, 1304, 2792, 3227, 4844, 5734, 6648, 7706, 1097, 1945, 3135, 3391, 4387, 5514, 6613, 7806, 419, 1750, 2669, 3564, 4624, 5767, 6794, 7303, 419, 1750, 2941, 3595, 4583, 5515, 7006, 7766, 419, 1750, 2914, 3825, 4798, 5514, 6338, 7949, 419, 1750, 2781, 3825, 4798, 5635, 7226, 7949, 475, 1508, 2806, 3412, 4872, 6211, 6302, 7806, 120, 1320, 2950, 3352, 5150, 5565, 6348, 7996, 959, 1141, 2381, 3277, 4606, 5515, 7010, 7557, 262, 1306, 2204, 3371, 5175, 5245, 6586, 7895, 283, 1350, 2807, 3913, 4950, 5716, 7056, 7778, 814, 1742, 2656, 3493, 4333, 5506, 6902, 8091, 302, 1561, 2884, 3421, 4943, 5466, 6874, 7611, 1041, 1982, 2784, 3421, 4699, 6167, 6458, 7964, 886, 1728, 2948, 3421, 4350, 6101, 6777, 7253, 886, 1428, 3058, 3852, 4321, 5473, 6692, 7612, 653, 1543, 2725, 3510, 4441, 5622, 6224, 8061, 761, 1997, 2725, 3509, 4539, 5715, 7202, 8230, 1029, 1695, 2248, 3417, 4364, 5722, 6628, 7584, 150, 1550, 3123, 3609, 4916, 5381, 6542, 7837, 643, 1550, 2171, 3329, 4338, 6144, 7038, 7484, 401, 1550, 2710, 3681, 4346, 5584, 6899, 7900, 940, 1831, 2795, 4015, 5127, 5360, 7207, 8258, 401, 1175, 2633, 3803, 4343, 6007, 7222, 7927, 216, 1120, 3109, 3316, 5075, 5824, 7149, 7494, 970, 1869, 2629, 4115, 4359, 5378, 6540, 8126, 970, 1668, 2834, 3870, 4991, 6128, 6402, 8209, 970, 1773, 2900, 4027, 5165, 6222, 7120, 7717, 923, 1830, 2315, 3662, 4816, 6178, 6385, 7882, 643, 2050, 2454, 3376, 5101, 6015, 6501, 8190, 693, 1691, 3130, 3251, 4364, 6034, 6912, 8217, 725, 1151, 3130, 3231, 4429, 5293, 6974, 8048, 508, 1299, 2662, 3366, 5042, 5875, 6969, 7767, 494, 1299, 2559, 3214, 4241, 6006, 6663, 8256, 974, 1299, 2182, 3183, 4439, 5450, 6476, 8013, 1030, 1146, 2896, 3155, 4364, 6017, 6283, 7976, 235, 2050, 3075, 3910, 4455, 6101, 6556, 7676, 956, 1224, 2729, 3710, 5153, 5245, 6630, 8054, 308, 1845, 2505, 3916, 5058, 6007, 7058, 8188, 510, 2073, 2746, 3516, 4276, 6175, 7157, 7764, 935, 1869, 2975, 4011, 5058, 6129, 6515, 7870, 935, 2028, 2781, 4011, 4583, 5661, 6988, 7658, 143, 1684, 2560, 3624, 4742, 5586, 6941, 7594, 555, 1752, 2996, 4071, 5073, 5746, 7100, 7887, 935, 2073, 2806, 3680, 5058, 6131, 7084, 8076, 935, 2017, 2899, 4145, 4423, 5219, 6988, 7311, 488, 1845, 2746, 3893, 4624, 6186, 7124, 7723, 818, 2017, 2746, 3893, 4624, 6195, 7218, 7766, 818, 2017, 2746, 3893, 4624, 6195, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1528, 2914, 3893, 4870, 6139, 6794, 8196, 488, 1528, 2833, 3893, 4624, 6081, 7124, 7766, 915, 1684, 2164, 3825, 4798, 5635, 6794, 8147, 555, 1684, 3064, 3391, 4798, 5550, 6794, 7723, 915, 1147, 2858, 4145, 4583, 6163, 7152, 7865, 555, 1147, 3064, 3391, 4387, 6182, 6612, 7723, 555, 1684, 3021, 3595, 4512, 5635, 7129, 7485, 555, 1684, 3021, 3595, 4512, 5635, 7100, 7715, 4, 2 ]

[ 1, 76, 45, 31, 5, 64, 51, 45, 52, 41, 16, 52, 5, 66, 36, 54, 5, 5, 3, 945, 1528, 3065, 3893, 4704, 6211, 6752, 8147, 488, 2017, 2914, 3990, 4624, 6139, 7226, 8147, 488, 1528, 3110, 4018, 5058, 5832, 7226, 8147, 731, 1939, 2975, 3990, 4849, 5305, 6755, 7852, 1064, 1407, 3094, 3540, 4206, 5907, 6267, 8226, 386, 2069, 2903, 3760, 4446, 5942, 6787, 8069, 1023, 1655, 2649, 4014, 5040, 5782, 6437, 7270, 1036, 2059, 3028, 3521, 4220, 6034, 6807, 8033, 221, 1563, 2487, 3764, 4474, 5301, 6840, 7336, 845, 1561, 2487, 3356, 4532, 6178, 7076, 7365, 981, 2033, 2464, 3171, 5148, 5944, 7062, 7860, 308, 1467, 2346, 3811, 5092, 5639, 6771, 8079, 899, 1851, 2947, 3983, 4588, 5705, 6371, 7811, 256, 1847, 2542, 4089, 5079, 5210, 6716, 8143, 878, 1280, 2424, 3930, 5079, 5838, 7082, 7476, 256, 1562, 2803, 3227, 4598, 5713, 6642, 7707, 552, 1998, 2991, 3645, 4859, 5677, 6584, 7791, 555, 2068, 2833, 3914, 5166, 5514, 6895, 8185, 818, 2017, 3007, 3914, 4704, 5630, 6709, 7766, 555, 1847, 3064, 4145, 4782, 6195, 7132, 7838, 818, 2068, 3095, 3914, 4624, 5241, 7006, 7806, 818, 2017, 3117, 3367, 5080, 6139, 7201, 8147, 818, 1528, 3117, 3367, 5129, 6139, 7239, 7766, 915, 1528, 2914, 3361, 4888, 5630, 6988, 8147, 228, 2106, 2221, 4068, 4580, 5493, 6291, 7706, 654, 1550, 2469, 3518, 4983, 5446, 6486, 7677, 654, 2060, 2953, 3931, 5168, 5844, 6435, 8080, 127, 2127, 2554, 3171, 5135, 5677, 6720, 7906, 127, 2106, 2992, 3394, 4764, 5296, 7160, 8126, 195, 1750, 2880, 3440, 4555, 5514, 6604, 8126, 195, 1851, 2271, 3374, 4916, 5830, 6892, 7815, 195, 1332, 2585, 3857, 4868, 5792, 6895, 7727, 568, 1313, 2971, 4145, 4996, 5514, 6738, 8106, 1056, 1933, 2886, 3993, 4633, 5767, 6575, 8045, 419, 1750, 2669, 3803, 4870, 5515, 6604, 7716, 419, 1648, 2806, 3886, 5135, 5612, 7160, 8164, 419, 1851, 3021, 4145, 4890, 5584, 7069, 7477, 859, 1508, 3133, 4113, 4622, 5630, 6776, 7806, 959, 1906, 3098, 4114, 4918, 5514, 6612, 8261, 392, 1645, 2918, 4096, 4225, 6063, 6680, 8205, 856, 1453, 2863, 3268, 5148, 6088, 7112, 8205, 498, 2118, 2570, 3298, 5183, 6135, 6969, 7671, 538, 1828, 2395, 3669, 5041, 5321, 6917, 8178, 864, 1177, 3137, 3245, 5005, 5598, 6230, 8009, 547, 1480, 3074, 3960, 4763, 6145, 6463, 7481, 620, 2050, 2868, 3276, 4711, 5703, 7002, 7581, 1008, 1889, 3040, 3276, 4807, 5745, 6389, 7605, 335, 1183, 2503, 3283, 4621, 5503, 7109, 7707, 961, 1190, 3092, 4165, 4205, 6149, 6838, 7560, 731, 1351, 2173, 3258, 5175, 5863, 6789, 7683, 391, 2075, 3040, 3991, 5179, 6066, 7227, 8188, 216, 1874, 3040, 3480, 4303, 6149, 6722, 7980, 779, 1992, 3143, 3826, 4675, 5815, 6454, 7706, 684, 1304, 2998, 3886, 4981, 5605, 7114, 7290, 256, 1467, 2326, 3726, 4734, 5573, 7232, 8252, 899, 2024, 3110, 4071, 4398, 5635, 6840, 7677, 789, 1608, 2560, 4113, 4287, 6182, 6988, 8267, 789, 2106, 2957, 4171, 4412, 6085, 6701, 8261, 878, 1452, 2981, 3413, 4611, 6051, 6630, 7806, 901, 2127, 2925, 3932, 4983, 5856, 6607, 7428, 756, 2085, 2791, 3950, 4308, 5705, 7010, 7702, 408, 1723, 2998, 3600, 5053, 6104, 7073, 8079, 1008, 1384, 2137, 3682, 4201, 6062, 7015, 8012, 843, 1645, 2137, 3356, 4621, 5812, 7053, 8224, 864, 1446, 2137, 3599, 4410, 5685, 6262, 7904, 547, 1185, 3073, 3599, 4361, 6011, 6569, 7790, 938, 1513, 2137, 3632, 4354, 5588, 7045, 7521, 1047, 1776, 2832, 3408, 4184, 5588, 6612, 7862, 571, 1992, 2137, 3512, 4348, 5587, 6515, 7291, 678, 1499, 2652, 4125, 4429, 5654, 6612, 7570, 684, 1370, 2258, 3726, 4387, 5910, 7207, 7462, 1099, 1175, 2381, 3945, 5038, 6129, 7077, 8260, 105, 2097, 2925, 3994, 4717, 6137, 7127, 8261, 105, 2098, 3065, 3982, 4512, 5810, 7132, 7962, 225, 1386, 3021, 4026, 4841, 5761, 7111, 7895, 225, 2064, 3018, 3827, 4890, 6195, 6671, 8261, 225, 1386, 2833, 3555, 4762, 5475, 6584, 8185, 757, 1332, 2356, 3298, 4387, 5550, 6790, 7846, 833, 1623, 2936, 4076, 5160, 5663, 6840, 8066, 752, 1510, 2353, 3717, 5183, 5385, 6371, 7279, 893, 1510, 3085, 4153, 4523, 5441, 6967, 8222, 665, 1510, 2901, 4153, 5050, 5496, 6691, 7305, 781, 1758, 2279, 4037, 5057, 5571, 6535, 7770, 803, 1758, 2579, 3282, 4275, 5351, 6632, 7905, 893, 1505, 2455, 3733, 4994, 5565, 6614, 7702, 693, 1692, 2453, 3178, 4827, 6124, 7032, 7822, 814, 1442, 2455, 3895, 4338, 6058, 6854, 7755, 876, 2095, 2378, 4037, 4439, 5288, 6613, 7448, 761, 1758, 2951, 3610, 5041, 5977, 7086, 7650, 803, 1758, 2951, 3548, 4277, 5701, 7128, 8236, 1029, 1628, 2905, 3792, 4451, 5589, 6969, 8058, 1001, 1850, 2905, 3222, 4604, 6101, 6792, 8041, 465, 1290, 2905, 3413, 4389, 5508, 6528, 7986, 888, 1499, 2242, 3326, 4338, 5233, 6915, 8151, 1008, 1354, 2905, 3609, 4338, 5591, 6898, 7386, 1008, 1141, 2662, 3434, 4904, 6171, 6959, 7900, 996, 1730, 3101, 4154, 4575, 5444, 6657, 7604, 876, 1299, 2349, 3711, 4268, 6050, 7241, 7709, 876, 1196, 2716, 4153, 4567, 5226, 6493, 7500, 876, 1250, 2268, 4007, 4833, 5550, 6493, 7779, 1057, 1865, 2268, 3155, 4597, 5631, 6348, 7779, 103, 1499, 2716, 3171, 4553, 5444, 6830, 7973, 390, 1189, 2794, 3540, 4745, 5843, 6306, 7476, 1090, 1141, 2248, 3973, 4385, 5210, 7168, 7865, 1025, 2125, 3033, 4027, 4764, 6175, 7120, 7336, 1025, 1858, 2591, 3540, 4536, 5981, 6593, 8093, 1025, 1141, 2591, 3917, 5088, 5832, 7017, 7794, 1025, 1139, 3080, 3300, 4985, 5493, 6265, 8260, 1025, 2000, 2429, 3975, 4368, 5641, 6884, 7367, 643, 1708, 2868, 3922, 4918, 6206, 7152, 7870, 363, 1496, 2956, 3994, 4364, 5935, 6815, 7765, 319, 1653, 2559, 4133, 4285, 6080, 6842, 7900, 942, 2111, 2232, 3596, 4476, 5745, 6486, 7999, 308, 1809, 2669, 3962, 4478, 6156, 7127, 7547, 555, 1620, 2238, 4174, 4558, 5968, 6677, 7559, 1099, 1620, 3135, 3945, 4822, 5385, 6996, 8267, 1099, 1620, 2957, 3886, 4822, 6129, 7090, 7876, 818, 1467, 2936, 4145, 4822, 6129, 7132, 7732, 186, 1467, 2949, 4170, 4704, 6186, 6794, 7766, 4, 2 ]

[ 1, 45, 66, 5, 76, 11, 78, 5, 64, 33, 75, 63, 16, 52, 5, 30, 39, 78, 5, 28, 44, 41, 20, 63, 5, 26, 5, 43, 14, 30, 5, 31, 16, 5, 51, 16, 53, 62, 52, 48, 66, 5, 64, 66, 20, 63, 47, 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, 2914, 3893, 4798, 5635, 7124, 7766, 915, 1648, 2164, 4145, 4798, 6186, 7124, 8196, 779, 1403, 2187, 3931, 4884, 6135, 6724, 7312, 480, 1842, 3147, 3340, 5165, 5750, 6787, 8251, 458, 1958, 2695, 4030, 5142, 5453, 6544, 7656, 304, 1286, 2261, 3977, 4470, 5865, 7173, 7574, 512, 1736, 2167, 3873, 4513, 5942, 6589, 7570, 684, 2046, 3095, 3908, 4278, 5534, 6806, 7657, 779, 1871, 2984, 4174, 4856, 5241, 7129, 8107, 571, 1672, 2996, 4028, 4501, 5687, 7149, 8210, 216, 1984, 3095, 4174, 4589, 5767, 6630, 7658, 831, 1665, 2792, 3513, 5165, 6051, 6467, 8076, 1003, 1158, 2971, 3556, 4314, 5558, 7218, 8236, 1084, 1582, 2508, 3781, 4692, 5366, 7152, 7580, 1040, 1865, 2719, 3751, 4273, 5761, 6707, 7611, 397, 1299, 2808, 3478, 4265, 6080, 6540, 8077, 225, 2060, 2490, 3861, 4953, 5235, 7095, 7361, 654, 1550, 2589, 3413, 4344, 5960, 6581, 7687, 654, 1876, 2808, 3394, 4376, 5837, 7120, 7985, 195, 1719, 2885, 3595, 5101, 5908, 6371, 7926, 654, 2111, 2221, 3364, 4877, 5650, 6790, 7816, 195, 1645, 2946, 3770, 4867, 6065, 6443, 7744, 654, 1876, 2904, 3550, 4870, 5840, 6486, 7429, 518, 1286, 2287, 3376, 4638, 5580, 6515, 7664, 617, 1756, 2959, 4161, 4836, 6067, 6998, 7753, 778, 1349, 2474, 3648, 4981, 6177, 6892, 7799, 1017, 1719, 2334, 3771, 4432, 5367, 6659, 7799, 404, 1510, 2306, 4081, 4582, 5339, 6959, 8241, 827, 2094, 2306, 3874, 4641, 5584, 6800, 7350, 641, 1937, 2552, 3752, 4372, 5603, 6958, 7915, 1047, 1512, 3089, 3994, 4285, 6067, 6366, 7927, 779, 1750, 3108, 4145, 4287, 5910, 7090, 8248, 959, 1705, 2238, 3866, 5157, 5929, 6776, 7962, 304, 2111, 2679, 4085, 5183, 5419, 7112, 7906, 1047, 2069, 2258, 3933, 4781, 6182, 6339, 7898, 641, 1405, 2518, 4150, 4368, 5767, 7087, 7532, 265, 1512, 2485, 4077, 4581, 5366, 6977, 7625, 736, 1807, 2517, 3928, 4742, 5981, 6885, 7400, 123, 1582, 2367, 3552, 5180, 5213, 6765, 7298, 344, 1955, 2536, 3785, 4518, 5884, 6881, 7808, 992, 1409, 2995, 3425, 4316, 5719, 6846, 7816, 992, 1199, 3060, 3300, 4693, 5247, 6975, 7809, 1016, 1199, 3063, 4138, 4248, 5247, 6849, 7558, 831, 1571, 2925, 4147, 4387, 5588, 6792, 7808, 512, 2091, 2746, 3540, 4681, 5767, 7111, 8041, 804, 2001, 2746, 3388, 5073, 5796, 6589, 8237, 804, 2094, 3143, 3866, 4334, 5942, 7207, 7992, 882, 1817, 2610, 4125, 5160, 5221, 7001, 7906, 962, 1363, 2725, 3992, 4192, 5957, 6882, 7793, 538, 1695, 2710, 4030, 4887, 6194, 6562, 7398, 989, 1286, 2951, 3448, 4365, 5827, 6345, 7371, 1004, 1938, 2937, 3421, 4708, 5971, 7135, 8268, 314, 1985, 2547, 4037, 4539, 6117, 7050, 7934, 1023, 1806, 2655, 3708, 4943, 5289, 6267, 7366, 495, 1721, 2506, 4007, 5031, 5709, 6885, 7384, 986, 1742, 2751, 4080, 4609, 5601, 6954, 8150, 465, 1808, 2751, 3560, 4941, 5656, 6954, 8057, 691, 1706, 2801, 3222, 4259, 5533, 6348, 8242, 807, 1649, 2346, 3258, 4400, 6122, 6634, 7918, 545, 1942, 3029, 3669, 4934, 5997, 6235, 8012, 487, 2114, 2348, 3413, 4604, 6179, 6280, 8114, 923, 1397, 2750, 3171, 4371, 5218, 6645, 7943, 986, 1832, 2396, 3245, 4878, 5802, 6728, 7869, 317, 1494, 2565, 3792, 4231, 5478, 6909, 7480, 1014, 1652, 2736, 3786, 4923, 5581, 6614, 7618, 1014, 1434, 3048, 4096, 4923, 5736, 6991, 7367, 959, 1923, 2797, 3726, 4494, 5935, 7197, 8036, 956, 2097, 3135, 3973, 4681, 6211, 7023, 7782, 510, 1467, 3095, 4143, 4993, 5573, 6809, 8085, 304, 1534, 2803, 3916, 5053, 5210, 7017, 8236, 761, 1797, 2188, 3161, 4756, 6166, 6898, 8120, 1023, 1283, 2553, 3190, 4460, 5728, 6491, 8069, 363, 1586, 2147, 3484, 4678, 5512, 7204, 8187, 465, 2036, 2918, 3999, 5090, 6130, 6849, 7698, 403, 1644, 2542, 3521, 5135, 5478, 6526, 7586, 256, 2106, 2895, 3364, 4536, 5514, 6625, 7751, 518, 1635, 2904, 3586, 4536, 5548, 7125, 7631, 901, 1596, 2905, 3535, 5053, 6142, 7201, 7698, 901, 1496, 3021, 3586, 4630, 5650, 6296, 8086, 489, 1386, 2473, 3586, 4762, 5811, 6615, 7892, 153, 2088, 2473, 3911, 5143, 5778, 6477, 8026, 450, 1324, 2582, 3253, 5026, 5500, 6809, 7264, 1024, 1222, 3090, 4017, 4325, 5944, 6487, 8203, 339, 2081, 3090, 4147, 4659, 5511, 6229, 7810, 917, 1167, 3090, 4127, 4811, 6138, 6533, 8232, 123, 1670, 2425, 3960, 4564, 5872, 6953, 7574, 736, 1831, 2966, 4022, 4497, 5629, 6783, 8017, 123, 1782, 2805, 3618, 4222, 5983, 6493, 8087, 83, 1924, 2262, 3501, 4819, 5524, 6703, 7869, 993, 1628, 2654, 3544, 4649, 5313, 6995, 7793, 1029, 1517, 2771, 3486, 4892, 5318, 7154, 7469, 936, 1151, 2856, 3748, 4927, 5790, 6969, 7586, 536, 2034, 2896, 4153, 4804, 5891, 6958, 7930, 835, 1958, 2872, 3578, 4600, 5512, 6434, 8061, 835, 1496, 2973, 3214, 5023, 6220, 7072, 8032, 666, 1346, 2756, 3672, 4742, 5212, 6568, 8033, 673, 1140, 3066, 3603, 5055, 5479, 6919, 8007, 759, 1719, 2628, 3936, 4456, 5259, 6376, 8143, 1052, 1162, 3033, 3720, 4893, 6116, 6664, 7483, 319, 2099, 3041, 3552, 4321, 6061, 6913, 7269, 840, 1971, 2751, 3220, 4919, 5973, 6806, 8258, 493, 2036, 2464, 4013, 4614, 5433, 6337, 8044, 492, 1703, 2954, 4007, 4903, 5988, 6453, 7304, 113, 1349, 2720, 3839, 4709, 5497, 6762, 8241, 913, 1821, 2137, 3616, 4918, 5323, 6887, 8193, 684, 1737, 2902, 3602, 4931, 6129, 7023, 7768, 1056, 2111, 3140, 3973, 4856, 6025, 7152, 8267, 984, 1821, 3110, 4171, 5007, 5968, 6588, 7976, 355, 1534, 2398, 3815, 5141, 5366, 6871, 8080, 645, 1614, 2926, 3540, 4489, 5696, 6908, 7948, 1090, 1421, 2261, 4159, 4589, 5978, 6996, 7962, 1022, 1773, 2944, 3931, 4437, 6181, 7090, 7776, 984, 1175, 2424, 3795, 4276, 5612, 6630, 8054, 186, 2065, 3110, 4171, 4782, 5705, 7201, 8093, 186, 1620, 2164, 3891, 4624, 6186, 7077, 8237, 935, 1622, 3008, 3886, 5165, 5241, 7218, 8083, 293, 1730, 2728, 4005, 5035, 6118, 6265, 7348, 91, 1198, 2596, 3159, 5056, 5859, 6361, 8027, 308, 1173, 3053, 4018, 4912, 5730, 6566, 8066, 1033, 2035, 2492, 3175, 4691, 5259, 6996, 8054, 104, 1669, 2436, 4081, 5195, 6220, 6953, 8009, 1025, 1244, 3003, 3788, 5098, 5485, 6740, 7843, 610, 1238, 2396, 3771, 4972, 5378, 7004, 7421, 887, 1978, 2610, 4115, 4212, 6163, 6614, 8195, 663, 1845, 2736, 3873, 4630, 5765, 6668, 7631, 427, 1747, 2762, 3929, 5159, 6205, 7157, 7485, 956, 2000, 2730, 3206, 4980, 6129, 7111, 8179, 859, 1968, 2709, 3564, 5088, 5210, 6348, 7764, 541, 1633, 2869, 4151, 4863, 5641, 6430, 8086, 757, 1503, 3139, 3317, 4696, 5286, 6553, 8036, 373, 1971, 2473, 4098, 4834, 5456, 6413, 7660, 887, 1989, 2544, 4028, 4555, 5906, 7129, 8126, 536, 1640, 2750, 3741, 4914, 5767, 6533, 7831, 103, 1808, 2927, 4037, 5042, 5512, 6773, 8210, 103, 1671, 2355, 3436, 5018, 6135, 6959, 7442, 103, 1700, 2502, 3424, 4641, 6119, 6668, 8117, 103, 1350, 2556, 3870, 4751, 5840, 6393, 8117, 103, 1881, 2515, 3838, 5138, 5968, 6776, 7538, 510, 1218, 2989, 4113, 5165, 5677, 6762, 8179, 419, 1992, 2803, 4011, 4387, 5438, 7220, 8093, 654, 1828, 2918, 3866, 4201, 5548, 6879, 7865, 195, 1750, 2875, 4078, 4780, 5210, 6607, 8126, 518, 1905, 3004, 4078, 5138, 5656, 7007, 7530, 195, 1286, 3133, 3356, 4644, 5957, 7103, 7732, 195, 1652, 2221, 3599, 4834, 5689, 7114, 7810, 654, 1140, 2282, 3798, 4376, 6160, 7017, 8164, 240, 1756, 2970, 4145, 4863, 5514, 7201, 7524, 789, 1853, 2208, 4125, 4459, 6117, 7069, 7865, 915, 1756, 2473, 3803, 5160, 5534, 6579, 8237, 419, 2078, 2654, 4113, 5159, 5635, 6889, 8236, 256, 1440, 3065, 3838, 4716, 5678, 6515, 7641, 225, 1826, 2560, 4171, 4780, 6149, 7152, 7476, 105, 1283, 2860, 4153, 5160, 6211, 7100, 8179, 223, 1510, 2855, 3660, 5012, 5968, 6494, 7291, 784, 1510, 3085, 3578, 4931, 5203, 6614, 7997, 840, 1865, 2389, 3271, 4415, 6153, 6719, 7616, 1057, 1213, 3149, 3751, 5196, 5447, 7112, 7928, 826, 1582, 3056, 3590, 4195, 5596, 6458, 7531, 826, 1478, 3015, 3999, 4734, 5500, 6393, 7868, 1008, 1499, 2189, 3566, 4573, 5654, 7085, 8209, 1016, 1919, 2312, 3176, 4643, 5479, 6243, 7515, 1011, 1146, 2678, 3713, 4847, 6205, 6998, 7637, 1016, 1867, 2592, 3428, 4468, 5893, 6350, 7690, 1011, 1362, 2661, 3811, 4228, 6075, 7184, 7403, 1024, 1512, 2218, 3999, 5159, 6020, 6885, 8252, 970, 1972, 2608, 3675, 4681, 5588, 6892, 8129, 970, 1833, 2878, 3946, 4343, 5671, 7152, 7936, 1011, 1770, 2878, 3811, 4870, 5378, 6852, 7311, 1011, 1736, 3144, 3964, 4930, 6067, 6563, 7716, 981, 1453, 2695, 3304, 4191, 5578, 6289, 7958, 913, 1758, 2969, 3917, 4607, 5696, 6889, 7415, 692, 1653, 2260, 4126, 4795, 5259, 6660, 7803, 103, 2055, 3003, 4067, 5146, 5767, 7222, 7911, 1084, 1286, 2556, 3581, 5143, 6002, 6945, 8215, 1090, 1684, 2232, 3973, 4356, 5757, 6978, 8120, 103, 1399, 2700, 3413, 4455, 5648, 7042, 7293, 610, 1561, 2899, 3240, 4476, 5292, 7237, 7379, 1081, 1561, 2796, 3175, 4186, 5292, 7223, 7510, 1051, 1782, 2396, 3501, 4489, 6087, 6634, 7690, 684, 1998, 3021, 3827, 5106, 6175, 6575, 8078, 1099, 1998, 3021, 4011, 4704, 5241, 7006, 7631, 818, 1998, 3021, 3990, 5080, 5241, 6589, 7723, 488, 1998, 3008, 4174, 4624, 6051, 6979, 7766, 818, 2017, 3135, 3893, 4624, 6129, 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, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 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, 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, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 52, 23, 30, 35, 5, 31, 14, 54, 5, 31, 16, 5, 17, 31, 35, 78, 5, 5, 3, 945, 1528, 2806, 4174, 4704, 5586, 6515, 8147, 142, 2017, 2914, 3825, 4704, 6186, 7226, 8147, 610, 1687, 3006, 3226, 4512, 6008, 6771, 8135, 887, 1454, 2536, 3909, 4900, 5598, 6618, 7439, 850, 1503, 2705, 3754, 4877, 5288, 7150, 7675, 535, 1183, 2265, 3249, 4910, 5914, 6870, 7466, 774, 1183, 2536, 3659, 4547, 5608, 7019, 7820, 607, 1183, 2376, 4016, 4340, 5372, 6994, 8219, 1034, 1814, 2604, 3537, 4678, 6021, 6659, 7983, 819, 1129, 2273, 3996, 5170, 5513, 6818, 7567, 327, 1537, 3040, 3433, 4907, 5862, 6999, 7402, 775, 1131, 2386, 3332, 4674, 6219, 6937, 8102, 810, 1131, 2757, 3332, 4887, 5293, 6922, 8235, 179, 1183, 2635, 3366, 4290, 5411, 7186, 7972, 835, 1503, 2868, 3366, 4731, 5781, 6890, 8035, 508, 1356, 2869, 3901, 5086, 5397, 6691, 7729, 728, 1199, 3070, 4044, 4590, 6101, 6879, 7599, 150, 1672, 2163, 3169, 4413, 5783, 7053, 7779, 1029, 2009, 2671, 3273, 4671, 6135, 7185, 7402, 271, 1826, 2728, 3276, 4568, 5977, 7086, 7539, 403, 1499, 2474, 3416, 4905, 5440, 7022, 7389, 1084, 2125, 2188, 4066, 4904, 5802, 6478, 8204, 880, 1139, 2798, 3464, 4601, 5379, 6754, 8104, 1057, 1455, 2561, 3623, 4382, 5891, 6476, 7383, 862, 1171, 2595, 3792, 4562, 5664, 7018, 8255, 1038, 1350, 2591, 4153, 4855, 5375, 6426, 7551, 1084, 1545, 2636, 3660, 4699, 6086, 6965, 8253, 1005, 1354, 2905, 3514, 5164, 6086, 6388, 7535, 827, 2095, 2494, 3771, 4607, 5529, 7086, 7419, 827, 1244, 2396, 3177, 5103, 5847, 6619, 7783, 693, 1865, 2564, 3473, 4575, 5222, 7142, 7756, 827, 1156, 2741, 3660, 5127, 5470, 6600, 7378, 1038, 1649, 2741, 3717, 5088, 5341, 7118, 8124, 113, 1770, 3029, 3986, 4486, 5933, 7041, 7902, 1024, 1581, 2491, 3430, 4364, 5843, 6818, 7287, 1090, 1655, 2797, 3623, 4555, 5745, 6226, 8104, 571, 2046, 2429, 3987, 4691, 5398, 6847, 7908, 776, 1560, 2868, 4006, 4737, 5837, 6410, 7887, 150, 2059, 2697, 3916, 4691, 5590, 6558, 7476, 249, 1655, 2346, 3610, 4483, 6118, 6335, 7656, 249, 2059, 2346, 3356, 4763, 6118, 6773, 7671, 1004, 2059, 2346, 3544, 4604, 5313, 7083, 8035, 1023, 1653, 3066, 3245, 4279, 5393, 6663, 7442, 363, 1655, 2553, 3394, 4629, 6052, 6830, 7881, 887, 1655, 2727, 3623, 4804, 5532, 7204, 7683, 150, 2053, 2346, 3870, 4635, 5496, 6550, 7815, 443, 1141, 2314, 3770, 4501, 6002, 6432, 8150, 443, 1141, 2346, 3676, 4321, 5627, 6545, 7467, 443, 1655, 2703, 3417, 4321, 5840, 6793, 7318, 1040, 1692, 2436, 3770, 4496, 5436, 6648, 7997, 1004, 1283, 2658, 4084, 4305, 6034, 6585, 7479, 399, 1708, 2817, 4084, 4419, 6034, 6812, 7393, 737, 1550, 2529, 3351, 4539, 6003, 7021, 7687, 807, 2034, 3116, 3300, 4687, 5697, 6480, 7538, 807, 2059, 2426, 3963, 4539, 5665, 6922, 7812, 807, 1734, 2222, 3394, 4459, 5810, 6601, 7490, 807, 1635, 2355, 3613, 4717, 5764, 6851, 7673, 807, 1635, 3116, 3764, 5163, 5706, 6684, 7675, 1019, 1494, 2923, 3764, 4539, 5651, 6291, 7811, 1019, 1283, 2835, 3268, 5101, 6059, 6442, 8117, 1040, 2059, 2873, 3394, 4218, 5408, 6282, 7683, 693, 2065, 2254, 3394, 5124, 6141, 6651, 7951, 192, 2059, 2265, 4137, 4604, 5620, 7052, 7921, 192, 1397, 2540, 3496, 4319, 5656, 7002, 7545, 371, 1603, 2748, 4158, 4205, 5325, 6778, 7921, 371, 2036, 2868, 3937, 4929, 5390, 6442, 7834, 1051, 1218, 2163, 3456, 4800, 5260, 6256, 7476, 779, 1851, 3038, 3559, 4589, 6026, 7014, 7481, 171, 1202, 2652, 3639, 4426, 6183, 6889, 7397, 440, 1468, 2729, 3201, 5085, 6002, 6884, 7336, 913, 1845, 2440, 3895, 4985, 5671, 6551, 7880, 692, 2059, 2751, 3997, 5143, 6144, 7242, 7396, 693, 2059, 2741, 3514, 4489, 5929, 6740, 7505, 693, 1510, 2740, 4133, 5134, 6118, 6883, 7522, 827, 1538, 2378, 3421, 5056, 6132, 6373, 8253, 265, 1758, 2636, 3252, 4804, 6052, 6740, 7606, 827, 2095, 2905, 3687, 4474, 6043, 6565, 7974, 827, 1557, 2402, 3687, 4321, 5550, 6677, 7571, 981, 1273, 2905, 4025, 4757, 5400, 6941, 8163, 693, 1669, 2378, 4009, 4661, 5672, 6864, 8060, 407, 1496, 2796, 3605, 4949, 5208, 6800, 7299, 981, 1884, 2530, 3591, 4855, 5398, 6563, 7568, 662, 1108, 2741, 3788, 4364, 5839, 6670, 7655, 662, 1108, 2741, 3788, 5096, 5578, 6592, 7411, 844, 2036, 2751, 3605, 4305, 5792, 7163, 8102, 981, 1524, 2487, 3878, 4925, 5428, 7102, 7652, 678, 2111, 2156, 3608, 4474, 5443, 6256, 7367, 789, 1529, 2775, 4124, 4289, 5560, 6529, 7827, 225, 1286, 2746, 3904, 5190, 5580, 7152, 8133, 225, 1750, 2833, 3245, 4716, 6110, 7152, 7804, 228, 2111, 2346, 3646, 4329, 6034, 6607, 8102, 518, 2118, 2529, 4057, 4844, 5689, 6338, 8188, 228, 1623, 3068, 3425, 4329, 6110, 6612, 8261, 256, 1750, 2554, 3550, 4423, 5385, 6889, 8262, 543, 2111, 2833, 3914, 4622, 6097, 6772, 7303, 186, 2111, 3064, 3470, 4583, 5515, 6889, 7303, 488, 2017, 2806, 4071, 4624, 5677, 6604, 7715, 488, 1528, 3065, 3825, 4624, 5515, 7077, 8196, 488, 1528, 3065, 3825, 4398, 5241, 6794, 8196, 488, 1528, 2164, 3893, 4624, 5241, 7124, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 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, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6677, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6677, 8080, 142, 1528, 2914, 3893, 4512, 6186, 6794, 8196, 488, 1648, 2970, 3893, 4798, 6139, 7152, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6677, 8223, 4, 2 ]

[ 1, 43, 48, 5, 76, 11, 78, 5, 66, 17, 53, 28, 16, 52, 30, 5, 43, 33, 30, 52, 21, 55, 5, 44, 54, 66, 73, 5, 31, 16, 5, 30, 17, 64, 66, 5, 5, 3, 555, 2013, 2839, 3391, 4398, 6211, 7098, 7563, 915, 1876, 2970, 3827, 4822, 5548, 7226, 7716, 555, 1147, 3064, 3893, 4622, 5534, 7129, 7949, 142, 1528, 3117, 3367, 4798, 5241, 7077, 8223, 555, 1844, 3065, 4145, 5166, 5694, 6709, 7949, 756, 2008, 2980, 3776, 4619, 5677, 7154, 7948, 848, 1640, 2366, 4003, 4996, 5737, 6601, 7951, 969, 1637, 2543, 3986, 4576, 5615, 6768, 7337, 323, 1550, 2638, 3605, 4920, 5863, 6760, 7933, 499, 1561, 2945, 3850, 4609, 5884, 6313, 7313, 1006, 1570, 2258, 4175, 4667, 6003, 6623, 7740, 716, 1759, 2222, 3928, 4654, 5424, 6291, 8061, 1047, 1370, 2515, 3564, 4948, 6149, 6542, 7890, 948, 1847, 2698, 3582, 5054, 5475, 6525, 7264, 1067, 1838, 2167, 3915, 4580, 5866, 6619, 7903, 386, 1174, 2207, 3234, 5198, 5514, 6921, 7685, 1023, 1318, 2875, 3751, 4475, 5507, 7007, 8109, 266, 1740, 2940, 3751, 4322, 6034, 6254, 7954, 314, 1141, 2678, 3751, 4301, 5587, 6403, 7873, 737, 1865, 3085, 3798, 5124, 5831, 6315, 7341, 868, 1828, 2933, 3708, 4321, 6055, 6826, 7664, 576, 1735, 2688, 3416, 4236, 6167, 6476, 7579, 225, 2002, 2791, 4070, 5042, 5719, 6486, 7384, 225, 2061, 2841, 3754, 4353, 5360, 6790, 7870, 225, 1424, 2250, 4111, 4298, 5689, 6918, 7727, 228, 1525, 2729, 4015, 5079, 5838, 6889, 7957, 228, 1851, 3007, 3891, 4859, 6175, 6338, 8130, 789, 2078, 2473, 3803, 4859, 5981, 7006, 7509, 789, 2078, 3064, 3394, 4877, 5438, 6996, 8185, 419, 2078, 2473, 3914, 5080, 5832, 7201, 7865, 419, 1528, 2991, 4113, 4859, 5514, 6515, 8260, 240, 1488, 2473, 3550, 4398, 5981, 6604, 8185, 276, 2098, 2137, 3838, 5167, 5811, 6604, 8076, 874, 1974, 2839, 4113, 4764, 5436, 6877, 8189, 1020, 1382, 2587, 3426, 4470, 6163, 6627, 8132, 355, 1490, 2293, 3907, 4538, 5677, 6789, 7574, 759, 1346, 2529, 4006, 4470, 5804, 6671, 7612, 716, 2059, 3150, 3970, 4531, 5581, 7178, 7462, 805, 1503, 2195, 3300, 4357, 5845, 7027, 7983, 805, 1338, 2812, 3587, 4546, 5477, 6798, 7255, 391, 1325, 2885, 4083, 4672, 5719, 7189, 7571, 937, 2090, 2737, 3396, 4771, 6026, 6997, 7586, 937, 1281, 2503, 3314, 5123, 5740, 6579, 7383, 391, 1928, 2250, 3830, 4282, 6004, 7214, 7776, 391, 1522, 2564, 3420, 4856, 5663, 6540, 8267, 767, 1477, 2250, 3256, 5124, 5500, 7000, 8245, 408, 1600, 2680, 3358, 4595, 6006, 6402, 8245, 335, 1236, 2250, 3736, 4752, 6163, 6470, 7936, 731, 1508, 2506, 3502, 4374, 5515, 6349, 7290, 767, 1755, 2189, 4103, 4843, 5705, 6548, 7677, 684, 1152, 3150, 3391, 4374, 5586, 6755, 7602, 571, 1318, 3144, 3175, 5044, 5904, 6820, 7806, 611, 1199, 2363, 3643, 4764, 5436, 7047, 7631, 1036, 1469, 2719, 3496, 4302, 5894, 6700, 7593, 332, 1740, 2628, 4128, 4706, 5288, 6797, 7502, 1019, 1469, 2222, 3432, 4485, 5608, 6565, 7880, 344, 1469, 2697, 3333, 4874, 5803, 7126, 7675, 876, 1469, 2260, 3623, 4994, 5447, 7114, 7954, 344, 1469, 2940, 3623, 4794, 5644, 7060, 7375, 864, 1129, 2546, 3685, 4635, 5608, 6923, 7527, 547, 1469, 2503, 3623, 4327, 6144, 6731, 7386, 864, 1440, 2934, 3561, 4539, 5573, 6466, 7779, 1016, 1440, 2940, 3276, 4857, 5387, 7140, 7957, 537, 1440, 2179, 3374, 4651, 5976, 6700, 7644, 304, 1585, 2541, 3967, 4334, 5205, 6734, 7644, 959, 1833, 3108, 3710, 4653, 5924, 6354, 7498, 684, 1370, 2728, 3916, 5135, 6087, 7120, 8060, 684, 1407, 2820, 4011, 5080, 5911, 7119, 8185, 952, 1601, 2829, 3512, 5054, 6032, 6235, 7652, 891, 1726, 2775, 3533, 4179, 5332, 7119, 7684, 844, 1938, 2669, 3812, 4531, 5325, 6581, 7778, 980, 1684, 2554, 3681, 4729, 5840, 7084, 7904, 757, 1939, 2754, 4095, 4861, 5689, 6750, 7476, 844, 1304, 2981, 4153, 4284, 5655, 6443, 7778, 319, 1112, 3043, 3393, 5115, 6103, 6891, 7838, 189, 1812, 2432, 3624, 4752, 5766, 6521, 8167, 739, 1651, 2543, 3925, 4724, 5626, 6663, 8036, 323, 1504, 2731, 3270, 5151, 5695, 6443, 7614, 969, 1633, 2304, 3888, 4510, 5417, 6811, 7263, 1036, 1564, 2633, 3486, 4486, 5594, 6831, 7828, 938, 1974, 3097, 3323, 4510, 5594, 6919, 7480, 914, 1564, 3109, 3671, 4890, 5655, 7012, 8107, 684, 1564, 2783, 3886, 4670, 5844, 6979, 7870, 308, 1147, 2924, 3819, 4444, 6175, 6642, 8107, 427, 1850, 3021, 4011, 5095, 6128, 6810, 8209, 1056, 1869, 3095, 3886, 5183, 5687, 7084, 7557, 1056, 1773, 3110, 4135, 4700, 5694, 7218, 8195, 397, 1773, 2886, 3975, 4589, 5219, 6830, 8227, 643, 1773, 2369, 3771, 5139, 6218, 7098, 8209, 887, 1850, 2163, 4153, 4691, 6063, 6599, 7527, 887, 1509, 2173, 4093, 4839, 5835, 6458, 7572, 150, 2053, 2173, 3193, 5073, 5812, 7072, 7528, 150, 1571, 3040, 3385, 5073, 5905, 7147, 7453, 150, 1499, 3151, 3420, 4273, 6065, 7095, 7565, 504, 2009, 2296, 3509, 4343, 5205, 7172, 7490, 271, 2061, 2721, 3727, 4564, 6167, 6224, 8247, 150, 2050, 2728, 3361, 4643, 5564, 6542, 7690, 862, 1469, 3085, 4095, 4361, 5707, 7053, 8017, 546, 1469, 2937, 3179, 5151, 6038, 7021, 8251, 728, 1658, 2491, 3382, 4748, 5884, 6396, 7271, 339, 1955, 2937, 3239, 4678, 5500, 6438, 7926, 368, 1469, 2428, 4087, 4244, 5405, 6766, 7858, 494, 1356, 2698, 3239, 4559, 5819, 6813, 7672, 774, 1278, 2721, 3713, 4597, 5496, 6711, 7704, 1063, 2102, 2173, 3700, 5174, 5999, 6612, 8232, 1030, 1669, 2972, 4034, 5105, 5550, 6619, 7997, 1024, 1974, 2304, 4005, 4567, 5213, 7174, 7497, 1024, 1974, 2353, 3477, 4176, 5321, 7125, 7843, 1024, 1284, 2541, 3549, 4809, 6033, 7237, 7577, 1024, 1947, 2885, 3243, 4426, 5373, 6723, 7735, 1024, 1407, 3141, 3748, 4717, 5204, 6936, 7535, 731, 1141, 2945, 3376, 5169, 5730, 6373, 7488, 216, 2091, 2638, 3472, 4993, 5646, 6540, 8267, 731, 1858, 2945, 3380, 4651, 5908, 6536, 8092, 223, 1834, 2991, 4103, 4444, 5413, 6265, 7582, 986, 1563, 2655, 3327, 4351, 5613, 6398, 7878, 807, 1858, 2629, 3695, 4800, 5781, 7222, 8087, 1009, 1550, 2242, 3430, 4535, 5781, 7001, 7428, 1036, 1948, 2555, 3329, 4419, 5435, 6388, 8085, 728, 1141, 2268, 3915, 4982, 5224, 6869, 8034, 1036, 1755, 2142, 4015, 4514, 5257, 6302, 8049, 1036, 1637, 2142, 3154, 4459, 5993, 7114, 8110, 731, 1545, 2282, 3486, 4644, 5503, 6602, 8209, 767, 1770, 2924, 3376, 5161, 5413, 6677, 8220, 731, 1770, 2740, 3811, 4586, 5687, 6393, 8195, 216, 1992, 2462, 3922, 4641, 5761, 7059, 7336, 401, 1402, 2960, 4096, 4912, 5534, 6668, 8099, 401, 1635, 2794, 3662, 4573, 5756, 6298, 7643, 512, 1998, 2454, 4026, 4337, 5573, 6908, 7959, 865, 1388, 2490, 3662, 5086, 5631, 6614, 8232, 271, 1363, 2675, 3376, 4523, 6142, 7000, 7860, 728, 1826, 2865, 3217, 4444, 5973, 6710, 7964, 1036, 1828, 2274, 3521, 5036, 5368, 7082, 7791, 692, 1912, 2137, 4103, 5020, 6159, 6859, 7561, 1047, 1157, 2137, 3913, 4542, 6151, 7017, 7966, 571, 1855, 2321, 3777, 4191, 5744, 6267, 7393, 401, 1280, 3150, 3376, 5165, 5219, 7002, 8044, 304, 1833, 2803, 3376, 4912, 5862, 7098, 8266, 756, 1234, 3092, 4166, 5080, 5515, 7232, 8205, 868, 1315, 2139, 3777, 4351, 5642, 6373, 7919, 728, 1199, 2505, 3376, 5010, 5259, 6760, 7900, 538, 1596, 3040, 3679, 5062, 5976, 6973, 7801, 862, 1435, 2961, 3390, 5124, 5205, 7148, 7423, 981, 2066, 3040, 3372, 4364, 5585, 6335, 7939, 308, 1562, 2636, 3945, 4859, 5539, 6302, 7838, 512, 1778, 2960, 3962, 4630, 6025, 7143, 8083, 512, 1499, 3095, 3380, 5058, 6025, 7239, 8237, 804, 1791, 2991, 3540, 5153, 5241, 7239, 8237, 804, 1675, 3064, 3188, 4980, 6175, 7237, 7658, 512, 1945, 2989, 3962, 4822, 6123, 7023, 7723, 512, 2000, 2340, 4108, 4888, 6129, 7201, 8195, 421, 1817, 2847, 3749, 5157, 5474, 6979, 7626, 611, 2102, 2271, 3637, 5106, 5918, 6793, 7728, 349, 1566, 2132, 3426, 4921, 5212, 6978, 7904, 546, 1592, 2410, 3496, 4218, 5668, 7131, 7405, 966, 1594, 2429, 3197, 4539, 5891, 6941, 7645, 428, 1171, 3116, 3582, 4647, 5742, 6564, 7512, 494, 1435, 2146, 3549, 4773, 6077, 6803, 8109, 235, 1489, 2997, 3928, 4375, 6089, 6550, 7405, 776, 1984, 2498, 4115, 4351, 5471, 6622, 7831, 684, 2065, 2946, 4009, 4641, 6111, 6830, 7495, 171, 1945, 2936, 3931, 5088, 5630, 6443, 7305, 1079, 1304, 2771, 3891, 5061, 6175, 6771, 7675, 878, 1557, 2926, 3876, 4329, 5525, 7024, 8117, 225, 1758, 2880, 3550, 4859, 5795, 6895, 8016, 225, 2060, 2746, 3586, 4859, 5296, 7047, 7664, 518, 2002, 2356, 3394, 5075, 5830, 7207, 7509, 225, 2060, 2729, 3803, 5138, 5515, 7006, 7706, 518, 2127, 3133, 4026, 4344, 6179, 7006, 7473, 518, 2002, 3133, 3803, 4622, 5892, 6612, 7715, 228, 2111, 3147, 3966, 4555, 5550, 7152, 7664, 240, 2002, 2970, 4113, 5157, 6046, 7207, 7706, 240, 1756, 2729, 3891, 4859, 5514, 7160, 7838, 789, 1756, 3064, 4113, 4859, 5981, 6607, 8076, 789, 1648, 2880, 3595, 4859, 5981, 7100, 7717, 789, 2098, 3133, 3994, 4762, 5241, 6752, 7716, 240, 2127, 3144, 3364, 4798, 6186, 7207, 7723, 518, 1550, 2860, 3891, 5142, 6163, 7024, 7723, 225, 1264, 2355, 3798, 4716, 5515, 6607, 7906, 183, 2106, 2473, 4145, 5135, 5436, 7152, 8102, 475, 1623, 2833, 3599, 4398, 5241, 6889, 7303, 488, 1684, 2729, 4168, 4681, 5493, 6338, 7677, 860, 2017, 2806, 3825, 5138, 6139, 6794, 8147, 860, 2017, 2914, 3825, 4624, 6139, 6794, 7766, 201, 2017, 2806, 3893, 4624, 6081, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8223, 555, 1750, 3021, 4071, 4387, 6186, 6752, 8223, 859, 1684, 2340, 3374, 4583, 6129, 7207, 8012, 859, 2127, 3147, 4068, 4890, 5550, 6688, 7716, 617, 2127, 2729, 3374, 4549, 5987, 6840, 7715, 105, 2106, 3064, 4006, 4555, 5635, 6717, 8261, 617, 2127, 2370, 4068, 4727, 5548, 6589, 8185, 617, 1750, 3105, 3470, 4214, 5586, 6612, 7907, 617, 2013, 2659, 3662, 5134, 6101, 6688, 8069, 617, 1332, 2564, 3517, 5007, 5493, 6612, 7494, 4, 2 ]

[ 1, 76, 33, 54, 5, 76, 48, 5, 51, 63, 20, 64, 66, 5, 31, 16, 5, 64, 76, 57, 52, 16, 54, 5, 62, 16, 66, 57, 53, 16, 51, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 488, 1648, 2914, 3825, 4624, 6139, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3893, 4624, 6186, 7226, 8223, 956, 1648, 2957, 4113, 4980, 5635, 7226, 7782, 318, 1791, 2965, 4130, 4912, 6114, 6458, 7843, 936, 1582, 3066, 4091, 4623, 5344, 6424, 8119, 936, 1918, 2741, 3986, 4739, 6093, 6929, 7772, 936, 1918, 3061, 3635, 4669, 5441, 6888, 8149, 610, 1421, 2678, 3818, 5144, 5762, 6286, 8139, 150, 1255, 2429, 3889, 5085, 5889, 6244, 7878, 887, 1782, 2429, 3472, 4461, 5586, 7090, 7865, 887, 1269, 3038, 3340, 4364, 5586, 6526, 8206, 887, 1831, 2783, 4103, 4930, 6195, 6891, 7887, 887, 1831, 2163, 3955, 5088, 5616, 6820, 7957, 299, 2059, 3038, 3713, 4215, 5478, 6566, 7291, 299, 1655, 2938, 4147, 5175, 6073, 6566, 8189, 462, 2059, 2938, 3452, 4352, 5239, 7043, 8165, 896, 2059, 2314, 3434, 5054, 6001, 6948, 7336, 487, 1125, 2687, 3307, 4346, 5454, 7102, 7862, 487, 1561, 2566, 4147, 4604, 5321, 6403, 7904, 487, 1540, 2566, 3695, 4833, 5483, 6612, 7411, 859, 1581, 2801, 3314, 5150, 6135, 6832, 7965, 956, 1791, 3021, 4108, 5040, 5586, 6918, 7782, 914, 1924, 3021, 4150, 5166, 5730, 6515, 7908, 935, 1791, 2991, 3391, 4681, 5210, 7201, 8066, 935, 1924, 2803, 3300, 4583, 6182, 6709, 7806, 132, 1648, 3008, 3188, 4888, 6008, 6709, 7870, 473, 2061, 2971, 3547, 4923, 5472, 7035, 7458, 473, 1567, 2892, 3631, 5150, 5631, 6849, 7918, 473, 2057, 2554, 4014, 4872, 6214, 6832, 7825, 153, 1833, 2730, 4113, 5080, 5804, 7082, 7720, 153, 1833, 2669, 3169, 4589, 6214, 7167, 7745, 731, 1499, 2793, 4087, 4583, 5899, 6309, 7449, 314, 1324, 3001, 3566, 4701, 5632, 7047, 7631, 249, 1294, 2285, 3995, 4845, 5976, 6235, 7604, 123, 1831, 2285, 3247, 4273, 5568, 6477, 7712, 154, 1838, 2661, 4079, 4407, 5414, 6923, 7781, 823, 1838, 2835, 3924, 4620, 5946, 7219, 7491, 875, 1838, 2141, 3713, 4468, 6145, 7231, 7852, 249, 1913, 2294, 3356, 4364, 5470, 6586, 7537, 179, 1296, 2137, 3943, 4965, 5938, 6798, 7442, 888, 1559, 2431, 3943, 4467, 5644, 6526, 7644, 917, 1582, 2835, 3651, 4708, 5574, 6665, 7276, 662, 1548, 3047, 3650, 5100, 5571, 6586, 7693, 776, 1302, 2716, 3318, 5026, 5640, 6467, 7583, 776, 1338, 2689, 4145, 4590, 5646, 7229, 7478, 473, 1467, 2970, 3901, 4305, 6149, 7195, 7674, 878, 1524, 3135, 3183, 4407, 5515, 6604, 7574, 225, 1396, 2340, 3376, 4423, 5548, 7207, 7555, 568, 1396, 2138, 3967, 4622, 6175, 7064, 7427, 518, 1749, 2746, 3680, 4353, 5677, 7160, 8061, 228, 1851, 2554, 4125, 5075, 5892, 6612, 7677, 240, 2002, 2683, 3518, 4867, 5515, 7098, 8022, 789, 2030, 3133, 4152, 5143, 5210, 6810, 7641, 915, 1845, 2278, 3595, 4512, 6205, 7023, 7677, 984, 1961, 2554, 3866, 5080, 5630, 6604, 7865, 789, 2097, 2468, 3361, 5083, 5219, 6589, 7477, 475, 2065, 3133, 4027, 5104, 5962, 6589, 7687, 335, 1340, 2497, 3723, 4513, 6085, 6846, 7887, 247, 1758, 2870, 3271, 4402, 5671, 6949, 8078, 725, 1296, 3091, 4103, 5110, 5317, 6468, 7427, 309, 1119, 2615, 3582, 5182, 5658, 6348, 7670, 225, 1540, 3129, 3891, 4881, 5962, 6837, 7537, 225, 2002, 2559, 4130, 5167, 5844, 7188, 7973, 654, 2002, 2554, 4125, 4782, 5581, 6579, 7717, 225, 1898, 2830, 3891, 4486, 5515, 7152, 7697, 654, 1345, 2370, 3337, 4859, 5218, 7129, 7930, 225, 1750, 2942, 3588, 4423, 5734, 7024, 7707, 225, 1386, 2987, 3359, 5120, 6175, 7120, 7732, 183, 2060, 2942, 4147, 4181, 6149, 7201, 7677, 579, 1490, 2970, 4150, 4580, 5550, 6809, 8185, 153, 2043, 2172, 3702, 5025, 5643, 6781, 7476, 132, 1508, 3038, 3916, 5134, 5963, 6791, 7717, 767, 1919, 2321, 4083, 4737, 5565, 6921, 7263, 840, 1643, 2444, 3529, 4678, 5668, 6429, 7712, 608, 1674, 3037, 4054, 4612, 5477, 6869, 7637, 888, 1594, 2311, 3742, 4760, 5777, 6456, 8041, 314, 1633, 2465, 3778, 4395, 5568, 6403, 7968, 266, 2070, 2997, 4133, 4857, 6104, 6802, 8096, 363, 1469, 2135, 3318, 5124, 5658, 6965, 8039, 266, 1969, 2189, 4128, 4885, 5938, 6521, 7852, 784, 1790, 2452, 3557, 4618, 5643, 6521, 7672, 1101, 1469, 2282, 3610, 4544, 6090, 6930, 7873, 993, 1838, 2452, 3338, 4410, 5380, 6476, 8103, 1029, 2061, 3066, 3868, 4938, 5318, 6586, 8048, 936, 1838, 2520, 3325, 4748, 5570, 7232, 7936, 104, 1674, 2975, 3928, 5097, 5846, 7241, 8125, 1005, 1655, 2232, 3675, 4189, 6195, 6302, 7973, 936, 1831, 3145, 3376, 5022, 5767, 6777, 7548, 936, 1141, 2436, 3615, 4292, 5413, 7232, 7691, 936, 1182, 2436, 3655, 4198, 5907, 6812, 7966, 1025, 1296, 2891, 3430, 5019, 5279, 6921, 8092, 1025, 1296, 2165, 3901, 4954, 6018, 7051, 7256, 1025, 1867, 3033, 3901, 5169, 5788, 6472, 8267, 684, 1566, 2943, 4005, 4780, 5778, 6349, 8016, 555, 1945, 2960, 3516, 4374, 5210, 7152, 7641, 914, 2000, 2947, 4174, 4551, 5705, 7218, 7631, 143, 2084, 2381, 4124, 5143, 5730, 6226, 7788, 878, 1833, 3000, 4094, 5150, 5296, 6614, 8241, 537, 1388, 2793, 4151, 5095, 5435, 6562, 8014, 840, 1797, 2129, 3578, 4556, 6183, 7084, 7578, 876, 1553, 2688, 3375, 4321, 6119, 6778, 8163, 1003, 1299, 2330, 3904, 4483, 6119, 6316, 7682, 1099, 1668, 2903, 3961, 4822, 5963, 6822, 7908, 818, 2041, 2991, 3188, 4980, 6085, 6786, 8209, 935, 2064, 2340, 3886, 5159, 5901, 7162, 8260, 105, 1847, 3135, 3424, 4583, 5350, 7114, 7732, 276, 1468, 3105, 3662, 4541, 5640, 6663, 7677, 334, 1426, 2918, 4092, 4423, 6117, 6948, 7660, 153, 1974, 2560, 4145, 4423, 5228, 7100, 8241, 160, 1324, 2629, 3253, 4340, 5730, 6614, 7781, 249, 1239, 2726, 3822, 4796, 5739, 6958, 7784, 784, 1937, 3085, 4137, 4751, 6116, 7143, 7487, 266, 1582, 2460, 3409, 4246, 5886, 6501, 7592, 314, 1205, 3001, 3727, 4364, 5269, 6999, 7578, 1023, 1271, 2923, 3793, 4751, 6107, 6721, 7773, 443, 1582, 2881, 3997, 4873, 5623, 7053, 7940, 1025, 1675, 3037, 3439, 4487, 5999, 7184, 7549, 1025, 1797, 2792, 4158, 4987, 5526, 7181, 7957, 1025, 1954, 2766, 3671, 4890, 5800, 6592, 7293, 1025, 1685, 2716, 3826, 4942, 5824, 7100, 7387, 535, 1141, 2709, 3873, 5047, 6050, 6307, 7703, 535, 1376, 2440, 3717, 4990, 5835, 7053, 7496, 884, 1653, 2378, 3979, 4279, 5579, 6853, 7593, 936, 1164, 2734, 3895, 5193, 5653, 6625, 7927, 150, 1397, 2548, 3908, 4780, 5728, 7230, 7827, 308, 1791, 2918, 3819, 4185, 6154, 7058, 7673, 914, 1562, 2991, 3983, 4555, 5892, 7017, 8260, 935, 2000, 2996, 3932, 4622, 5705, 6752, 7311, 617, 1108, 2801, 3795, 4374, 5590, 6740, 8262, 899, 2000, 2976, 3771, 5075, 5285, 7232, 8179, 899, 1147, 2926, 4115, 4859, 6103, 6717, 7473, 555, 1147, 2444, 3914, 4297, 5890, 7168, 7563, 488, 1847, 2925, 3827, 5080, 6103, 6794, 8260, 818, 2000, 3064, 3710, 4888, 6182, 6996, 7876, 818, 2017, 2803, 3893, 4630, 5635, 7077, 8237, 818, 2017, 3135, 3982, 4980, 6081, 7239, 7949, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8147, 818, 2017, 2164, 3893, 4782, 6081, 7201, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4798, 6139, 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, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 16, 54, 23, 54, 64, 66, 5, 31, 16, 5, 42, 36, 52, 5, 5, 3, 83, 1826, 2610, 3193, 4321, 6119, 6832, 7809, 1080, 1557, 2751, 3979, 4927, 5787, 7035, 7836, 1003, 1785, 2915, 3960, 4734, 6130, 6706, 8254, 692, 1828, 2244, 3635, 4364, 5658, 6910, 8048, 970, 2107, 3137, 3394, 4665, 6000, 6414, 8049, 424, 1865, 2401, 3508, 4330, 6114, 6860, 8061, 850, 1182, 3080, 3717, 4650, 5573, 7017, 7800, 826, 1782, 2766, 3233, 5010, 5474, 6777, 8026, 104, 1244, 2797, 3233, 4365, 5843, 6276, 8139, 850, 1708, 2256, 3233, 4529, 6164, 6841, 7613, 399, 1490, 3137, 3421, 5026, 6130, 6710, 7809, 1031, 2036, 3040, 3735, 4205, 6002, 6284, 7580, 313, 1369, 2189, 3313, 5157, 6009, 6998, 8191, 673, 1455, 3019, 3356, 4364, 5858, 6710, 7296, 862, 1334, 3040, 3714, 4873, 5242, 6772, 7576, 1067, 1550, 2607, 4051, 4532, 6059, 7240, 7983, 778, 1477, 2751, 4134, 4195, 5624, 6916, 8233, 778, 2036, 2300, 3332, 4595, 5658, 7240, 7966, 887, 2064, 2389, 3540, 5193, 5496, 6581, 7983, 887, 1402, 2515, 4165, 4422, 5339, 6847, 7882, 887, 1402, 2944, 4165, 5193, 5272, 6540, 7789, 104, 1633, 2128, 3696, 5088, 5202, 6722, 7476, 211, 1685, 2582, 4087, 4813, 5550, 6820, 8188, 211, 1881, 3109, 3427, 5143, 6128, 6702, 8260, 804, 2068, 2803, 4145, 4861, 6222, 7168, 8078, 105, 1304, 2491, 3983, 4740, 5830, 6954, 8080, 225, 1426, 3028, 4166, 4926, 5940, 7197, 7256, 225, 1108, 2721, 3706, 4459, 5981, 6486, 7252, 228, 1199, 2941, 3374, 4764, 5765, 6400, 7887, 256, 1440, 2941, 3770, 4863, 5865, 7006, 7260, 256, 1851, 2554, 4011, 4398, 5385, 6338, 7831, 256, 2065, 2349, 3364, 4764, 5982, 6443, 7716, 256, 2030, 2560, 4166, 4918, 6065, 6900, 7318, 419, 1528, 3135, 4071, 4704, 5550, 7218, 7715, 401, 1756, 3133, 4027, 5104, 6025, 6740, 8179, 160, 1889, 2629, 4005, 4364, 5465, 6642, 7313, 314, 1596, 2868, 3427, 4452, 6143, 6680, 7869, 1023, 2059, 2436, 4130, 5188, 5552, 7158, 7362, 936, 2059, 2559, 3500, 4238, 5575, 6875, 7568, 104, 2059, 2282, 3430, 4748, 5549, 6267, 8092, 308, 2073, 2387, 3908, 4859, 5765, 6566, 7397, 1099, 1620, 2868, 3811, 4925, 5911, 7162, 7485, 804, 1218, 2783, 3982, 4782, 5883, 7010, 7557, 1056, 1139, 2383, 3710, 5166, 5904, 6668, 8076, 288, 1467, 3128, 4145, 5166, 5219, 6979, 7723, 91, 1660, 3092, 3376, 4806, 5978, 6551, 7571, 806, 1773, 2250, 3582, 4691, 6184, 6443, 8069, 113, 1120, 2250, 4021, 5184, 6145, 6262, 7606, 668, 1250, 2564, 3727, 4575, 5557, 6267, 7509, 862, 1990, 2905, 4073, 4530, 5339, 6623, 7805, 1080, 2063, 2440, 3777, 5154, 5782, 6392, 7821, 547, 1141, 2536, 4153, 4804, 5773, 6878, 7341, 1066, 1886, 2432, 4036, 4843, 5782, 6267, 7253, 1080, 1108, 2868, 3655, 4439, 5205, 6826, 8139, 1067, 1141, 2218, 3782, 5110, 5325, 6668, 7839, 913, 1209, 2432, 4073, 4990, 5565, 7072, 8214, 1038, 2057, 2432, 3521, 4237, 5605, 6957, 7248, 888, 1141, 2132, 3877, 4716, 5401, 6480, 7423, 770, 1403, 2142, 3649, 4483, 5404, 6339, 7263, 1067, 1372, 2889, 3472, 4495, 5339, 6391, 7611, 815, 2070, 2938, 3901, 5193, 5470, 6651, 7524, 1080, 1865, 3056, 3278, 5122, 6090, 7232, 7770, 569, 1402, 2491, 3496, 4442, 5204, 7126, 7262, 113, 1199, 2615, 3605, 5110, 5338, 6803, 7355, 1080, 1838, 2762, 3793, 5006, 5640, 6548, 7858, 569, 1669, 3138, 3741, 4274, 5685, 6957, 7930, 981, 1369, 2173, 3314, 4832, 5382, 7227, 7583, 1080, 1426, 2470, 3748, 4364, 6142, 7173, 7544, 508, 1834, 2747, 3239, 4949, 5905, 7136, 7928, 776, 1199, 3092, 3842, 5126, 5605, 6889, 7902, 171, 1925, 2898, 3894, 4818, 5419, 6588, 7480, 484, 1963, 2803, 3715, 4436, 6085, 6775, 7822, 186, 1175, 2340, 3645, 4888, 5963, 7077, 7421, 818, 1175, 2957, 3440, 5061, 6195, 7084, 8147, 935, 2017, 3110, 3188, 4798, 5635, 6794, 7485, 552, 1750, 2833, 3866, 4704, 6195, 6677, 7641, 859, 2106, 2858, 4068, 5106, 5385, 7218, 8093, 757, 1750, 2775, 4125, 4867, 5987, 6752, 7536, 105, 1490, 2918, 3550, 4512, 5219, 7129, 7706, 617, 1684, 2775, 4125, 5120, 5650, 6988, 8266, 617, 2127, 2370, 3680, 5138, 5324, 6688, 7732, 617, 1345, 2775, 3550, 5166, 5767, 6612, 7962, 617, 1750, 2858, 3550, 4870, 5624, 6772, 7264, 617, 1289, 2833, 3891, 4267, 6086, 6515, 7838, 617, 1695, 2959, 4005, 4459, 5372, 7077, 7643, 552, 2127, 2970, 3761, 4329, 6086, 6607, 7823, 4, 2 ]

[ 1, 63, 44, 62, 33, 54, 66, 5, 5, 3, 488, 2017, 3117, 3803, 4704, 6211, 6515, 8147, 216, 1773, 2880, 4114, 4555, 6170, 6608, 7420, 1033, 2001, 3068, 3752, 5165, 5297, 7019, 8111, 1025, 1630, 2432, 3234, 5184, 5599, 6241, 8106, 1035, 2001, 3026, 3957, 4486, 5555, 6419, 8217, 459, 1510, 2798, 3233, 4724, 5727, 6728, 7795, 326, 1586, 2871, 3423, 5043, 5683, 6754, 8151, 559, 2048, 2701, 3831, 4576, 5262, 6965, 8151, 881, 1397, 2927, 3605, 5031, 6044, 7083, 7966, 920, 1397, 2263, 4003, 4636, 6044, 6733, 8243, 1005, 1323, 2748, 4103, 4539, 5263, 7068, 7668, 1097, 1989, 2457, 3190, 4523, 5835, 6719, 7528, 1099, 1467, 3006, 3374, 4980, 5767, 7100, 7421, 510, 1998, 2795, 3914, 5183, 5767, 7084, 8188, 1056, 1280, 3007, 3983, 4512, 6175, 6752, 7939, 427, 1620, 2381, 3710, 4622, 5694, 7218, 8267, 120, 1608, 2429, 3402, 4384, 6033, 6284, 8212, 750, 1388, 2175, 3511, 4215, 6049, 7003, 7437, 897, 1681, 2487, 3788, 4334, 6178, 6485, 7846, 734, 1349, 2927, 3468, 4449, 5935, 6814, 7905, 734, 1879, 2953, 3193, 4455, 5992, 7229, 7497, 557, 1488, 2915, 3467, 4804, 5311, 6789, 8039, 234, 1356, 2379, 3599, 4919, 6172, 6429, 7889, 249, 1361, 2415, 3152, 4612, 5980, 7106, 7765, 632, 1476, 2384, 3651, 4176, 6065, 7001, 8174, 1036, 1438, 2665, 3536, 4933, 5658, 6609, 7604, 448, 1761, 3040, 4076, 4675, 5931, 6654, 8199, 731, 1496, 2290, 3604, 5193, 5923, 6612, 8107, 391, 2056, 2128, 3901, 5193, 6007, 7100, 8052, 767, 1600, 2607, 3277, 5153, 5344, 6809, 7574, 831, 1804, 2925, 3206, 4622, 6163, 6918, 7948, 335, 1869, 3095, 3226, 4447, 6163, 6850, 7776, 401, 1886, 2924, 4041, 4912, 6163, 6980, 7687, 304, 2024, 2391, 3827, 5183, 6163, 6830, 8070, 955, 1777, 3109, 3895, 4276, 5216, 7010, 8080, 288, 1280, 3043, 4114, 4573, 5694, 7201, 7887, 617, 1847, 2709, 3681, 4179, 5797, 6771, 8266, 654, 1264, 2858, 3407, 5048, 5580, 7135, 7659, 105, 2034, 3064, 3955, 4214, 5678, 6584, 8132, 105, 1684, 3064, 3226, 5106, 5372, 7218, 8132, 555, 1684, 2970, 3407, 4622, 5811, 7132, 7563, 859, 1750, 2833, 3994, 4870, 5677, 6677, 8080, 186, 1147, 2970, 3825, 4985, 5635, 6996, 7732, 555, 1684, 3064, 3914, 4387, 5811, 7163, 8147, 186, 1684, 3064, 4071, 4387, 5963, 6996, 7723, 818, 1648, 2970, 4071, 4890, 5901, 7207, 7766, 488, 1622, 2806, 3893, 4624, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 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, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 31, 33, 63, 5, 31, 16, 5, 16, 41, 33, 63, 5, 76, 69, 30, 5, 43, 14, 75, 5, 30, 63, 11, 62, 66, 5, 5, 3, 955, 2079, 2847, 4132, 4430, 6072, 6702, 8260, 955, 1238, 3110, 3990, 4398, 5978, 6677, 7611, 952, 1724, 2480, 3749, 4292, 5594, 6818, 7256, 271, 2067, 2788, 3533, 4638, 5696, 6380, 7582, 994, 1494, 2788, 3765, 4678, 6090, 6745, 7466, 557, 1557, 2490, 3224, 4813, 5648, 7140, 7860, 896, 1434, 2487, 3905, 4474, 5594, 6308, 7834, 900, 1472, 2361, 3358, 4439, 5351, 6265, 7759, 363, 1693, 2487, 3183, 4664, 5831, 7157, 7386, 884, 1442, 2791, 3751, 4321, 5954, 7200, 7415, 314, 1695, 2690, 3928, 4539, 6135, 7224, 7869, 737, 1271, 2487, 3878, 4686, 5517, 6627, 7544, 1036, 1732, 2273, 3427, 4321, 6034, 7198, 7618, 339, 1397, 2638, 3315, 4903, 5313, 6566, 7864, 1017, 1778, 2487, 3201, 4444, 5847, 6678, 7954, 1041, 2102, 2487, 3840, 4709, 5706, 7041, 8251, 835, 1281, 2487, 3372, 4444, 5624, 6871, 8123, 494, 1400, 2829, 3686, 4832, 5810, 6466, 8137, 494, 1832, 2867, 3356, 4441, 5662, 7165, 8204, 835, 1826, 3073, 3769, 4351, 5320, 6828, 7574, 692, 2118, 2831, 3599, 4597, 6142, 6730, 7737, 1038, 2118, 2170, 3599, 4593, 5444, 7039, 7761, 692, 1828, 3119, 3492, 4876, 5631, 7106, 8149, 938, 1828, 2808, 3720, 4441, 5778, 6710, 7809, 779, 2065, 2866, 3761, 5014, 5643, 6908, 7386, 571, 1691, 2866, 3886, 5095, 6084, 6579, 8112, 779, 1509, 3037, 4115, 4966, 6182, 6979, 7563, 216, 1992, 3133, 3826, 4279, 5360, 6338, 7494, 613, 1252, 2365, 3348, 4208, 6063, 7162, 8036, 1080, 1561, 2725, 3915, 4816, 5749, 6354, 7329, 668, 1550, 2402, 4122, 5100, 5308, 6730, 7313, 1036, 1637, 2717, 3709, 4989, 5734, 6243, 8269, 545, 1118, 2940, 3586, 4873, 5793, 6434, 7429, 234, 1550, 2865, 3426, 4775, 5563, 6816, 7336, 938, 1118, 2346, 3979, 4839, 5690, 6530, 8071, 234, 1164, 2865, 3426, 5142, 5792, 6593, 7981, 774, 1120, 2282, 4122, 4901, 5742, 6485, 7261, 1101, 1110, 2871, 3727, 5070, 5792, 6844, 7604, 265, 1402, 2626, 3892, 4955, 6112, 6966, 7852, 256, 1747, 2163, 3746, 4326, 5568, 7100, 7516, 518, 1597, 2326, 3271, 4998, 5963, 6607, 8213, 256, 1597, 3095, 3226, 5157, 5963, 6919, 7563, 256, 1452, 2839, 3710, 4670, 5276, 7164, 7557, 256, 1851, 3109, 3645, 4412, 6175, 6877, 7737, 256, 1452, 3006, 3891, 5075, 6137, 6889, 7865, 256, 1851, 3095, 3364, 4580, 5890, 6809, 7706, 518, 1992, 2904, 4026, 4870, 6175, 6810, 7555, 518, 1750, 2468, 3516, 4870, 5515, 6771, 7706, 757, 2111, 2944, 3369, 4681, 5661, 6467, 8195, 731, 2065, 2560, 3232, 5023, 5580, 6575, 7591, 402, 1424, 2715, 3323, 5148, 6218, 7076, 8130, 943, 1286, 2346, 3720, 4268, 5864, 6879, 7841, 1017, 1164, 2309, 3962, 4985, 5231, 6241, 7776, 249, 1442, 2309, 3943, 4532, 5314, 6376, 7873, 261, 1411, 2309, 3580, 4663, 5487, 6509, 7912, 458, 1732, 2495, 4016, 4734, 6002, 6359, 7748, 888, 1434, 2260, 3673, 4532, 5800, 7148, 7255, 917, 1403, 2459, 3751, 4586, 5479, 6612, 7865, 123, 1283, 3085, 3256, 5070, 5576, 6915, 7612, 458, 1509, 2487, 3419, 4320, 6002, 6743, 8265, 888, 1510, 2529, 3295, 4781, 5466, 6793, 8028, 917, 1510, 2638, 3672, 5040, 6203, 6587, 7618, 1029, 1518, 2661, 3448, 5160, 6143, 6734, 8095, 150, 1199, 2727, 3756, 4866, 6191, 6608, 7309, 1025, 1897, 2493, 3325, 4834, 6175, 6752, 8242, 643, 1217, 2238, 3962, 4717, 5506, 7006, 7492, 887, 1665, 2708, 3813, 4781, 5265, 6584, 7887, 887, 2035, 2275, 3224, 4428, 5620, 7217, 7555, 887, 1478, 2348, 3175, 4215, 5631, 7149, 7887, 887, 1682, 2993, 3931, 5011, 6187, 7090, 8037, 271, 1721, 2361, 3808, 5008, 5972, 6258, 7473, 895, 1600, 3092, 3960, 5073, 5410, 6717, 7426, 895, 2059, 2422, 3669, 4687, 5721, 6839, 7885, 1101, 1758, 2678, 3161, 4683, 5924, 7097, 7955, 833, 2002, 2203, 4049, 4381, 6213, 6671, 7528, 756, 1816, 2454, 3540, 4784, 5761, 6517, 7383, 952, 2000, 2897, 3201, 4635, 5865, 6302, 7423, 492, 1633, 2765, 4115, 4827, 5921, 6899, 7825, 511, 1410, 3003, 3433, 4568, 5867, 6678, 7987, 536, 1557, 2361, 3467, 4841, 5301, 6651, 7934, 840, 1496, 2658, 4007, 4408, 6126, 6456, 7961, 1001, 1499, 3130, 3505, 4773, 5790, 6528, 7740, 510, 2125, 3150, 3502, 4179, 5219, 7201, 7570, 308, 1218, 2724, 4152, 4622, 6160, 6988, 8245, 308, 1467, 2895, 4041, 5088, 5963, 7058, 7846, 684, 1961, 2293, 3983, 5169, 6149, 6771, 8179, 288, 1797, 2754, 3516, 4287, 5568, 6709, 7563, 804, 1874, 3043, 3982, 5166, 5385, 6852, 7876, 512, 2046, 2936, 3188, 5104, 5219, 7090, 7641, 91, 1918, 2139, 3870, 4918, 5250, 7152, 8176, 541, 1700, 2980, 3549, 4877, 5830, 6349, 7533, 421, 1577, 2744, 3424, 4654, 5398, 6569, 8048, 1003, 1778, 3141, 3992, 4217, 5599, 6706, 8085, 113, 1478, 2349, 3732, 5192, 5289, 6340, 7341, 803, 1404, 2740, 3810, 4765, 5925, 6360, 8000, 472, 1674, 2555, 3409, 4910, 5794, 7154, 7657, 110, 1248, 2515, 3460, 4855, 5876, 6870, 7955, 110, 1407, 2769, 3162, 4475, 5352, 6393, 7791, 571, 1582, 2893, 3971, 4229, 5892, 7190, 7924, 132, 1705, 2944, 3909, 4387, 5901, 6771, 7699, 427, 1248, 3128, 3567, 5183, 5767, 6566, 7490, 935, 1475, 2783, 3240, 4387, 6195, 7207, 7290, 935, 2017, 3095, 3226, 5038, 5534, 6588, 8267, 186, 1791, 3110, 4041, 4624, 6085, 7006, 7806, 186, 2017, 2781, 4071, 4822, 5901, 6794, 7876, 935, 2017, 2781, 3893, 5038, 5241, 7201, 7766, 186, 1528, 2164, 3893, 4798, 6186, 6752, 7876, 153, 1490, 2398, 4005, 5150, 5944, 6402, 7887, 142, 2017, 3117, 3367, 4704, 6081, 6786, 8147, 488, 1528, 2164, 3893, 4624, 6139, 6752, 8196, 818, 1648, 2914, 3893, 4798, 6186, 7124, 7766, 334, 1198, 2566, 3573, 4519, 5913, 6684, 7844, 183, 1570, 2944, 4073, 4512, 5503, 6607, 7386, 105, 2111, 2210, 3407, 4387, 5963, 6840, 7744, 186, 1684, 2970, 4145, 4890, 5767, 7132, 8164, 488, 2111, 3117, 4145, 4798, 6139, 6584, 8080, 860, 2017, 2806, 3825, 4704, 6139, 6589, 7766, 860, 1528, 2806, 3825, 4704, 6139, 7077, 7766, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 915, 1974, 3065, 3951, 4387, 5677, 6752, 8196, 142, 1528, 2914, 3825, 4798, 5635, 7226, 8147, 142, 1622, 2914, 3367, 4624, 6139, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7077, 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, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 488, 1648, 2914, 3827, 4624, 5635, 7124, 7766, 488, 2017, 2914, 3893, 4798, 6139, 7226, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 31, 33, 63, 5, 66, 17, 55, 78, 5, 76, 35, 5, 28, 52, 14, 51, 5, 44, 54, 5, 31, 33, 63, 5, 53, 23, 67, 64, 5, 28, 44, 41, 20, 63, 5, 31, 39, 5, 51, 11, 66, 5, 31, 16, 5, 51, 36, 52, 44, 55, 5, 64, 53, 57, 51, 5, 17, 75, 5, 41, 26, 35, 78, 5, 44, 54, 5, 31, 16, 5, 75, 14, 52, 47, 5, 76, 33, 63, 5, 31, 39, 5, 54, 73, 5, 31, 16, 5, 53, 26, 54, 5, 53, 17, 64, 66, 5, 28, 48, 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, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 2017, 3065, 3893, 4798, 5635, 6794, 8196, 488, 1528, 2164, 4018, 4624, 5705, 6786, 7949, 475, 2046, 2944, 3891, 4398, 5586, 6604, 7949, 893, 1108, 2953, 4000, 4802, 5704, 7033, 7778, 660, 1672, 3130, 3417, 5111, 6016, 6660, 7611, 991, 1509, 2196, 3960, 4335, 5285, 7118, 7263, 752, 1770, 2994, 3937, 4191, 5465, 7231, 8245, 650, 1141, 3101, 3873, 5074, 6114, 6918, 7737, 650, 1771, 2440, 3258, 5164, 6051, 6736, 8022, 104, 1717, 2891, 3230, 5006, 6183, 6579, 7527, 160, 1141, 3039, 3680, 4985, 5266, 7245, 7291, 569, 1826, 2261, 3669, 4596, 5935, 7072, 8096, 1019, 1125, 2487, 3741, 4612, 5965, 6474, 7985, 994, 1283, 2520, 3259, 4875, 5512, 6986, 8073, 1083, 1283, 2720, 3427, 4779, 5930, 6657, 7670, 535, 1283, 2584, 3875, 4214, 6193, 6921, 7504, 137, 1397, 2979, 3469, 4723, 5608, 6705, 7461, 1019, 1494, 2987, 3570, 4894, 5268, 6544, 8045, 1024, 1510, 2842, 3493, 4982, 5449, 6310, 8011, 308, 1422, 2436, 3474, 4197, 6148, 7232, 7260, 818, 1874, 3064, 3961, 4888, 5687, 7010, 8083, 1099, 1175, 2391, 3188, 5159, 6195, 6776, 7485, 914, 2000, 2957, 3982, 4980, 6103, 6668, 8179, 510, 1508, 2925, 4174, 4870, 6129, 7207, 7876, 617, 1304, 2554, 3838, 4622, 5223, 6900, 7707, 824, 1525, 2282, 3340, 4580, 5901, 6521, 7828, 225, 1349, 2359, 3631, 4832, 5829, 7098, 7363, 153, 1633, 2792, 4161, 5129, 5219, 7129, 8164, 403, 1865, 2839, 3503, 4558, 5904, 7218, 8185, 752, 1386, 2810, 3533, 4970, 5565, 6889, 7972, 492, 1818, 2361, 3574, 4281, 5839, 7041, 8086, 492, 1703, 2361, 3661, 4460, 5365, 6875, 7524, 492, 1604, 2973, 3835, 4910, 5311, 7004, 7983, 247, 2117, 2185, 3448, 5198, 5450, 7174, 7296, 826, 1828, 2348, 3481, 4340, 6118, 6910, 7800, 895, 1771, 2337, 3464, 4364, 5567, 6781, 7554, 104, 1815, 2429, 3232, 4459, 5898, 6393, 8232, 1025, 1685, 2653, 3229, 4333, 5765, 6673, 7878, 778, 1685, 2476, 3707, 4536, 6147, 6608, 7740, 887, 1156, 3101, 3660, 5042, 5843, 7207, 7447, 104, 1827, 2436, 3259, 4925, 5908, 6810, 7971, 1090, 1146, 2946, 4041, 4966, 6022, 7019, 8078, 610, 1809, 2156, 3874, 4437, 6080, 6286, 7448, 1037, 1363, 2156, 4151, 4219, 5296, 7220, 7426, 228, 1283, 2878, 4092, 4308, 5810, 6959, 7843, 568, 1826, 2642, 3961, 4351, 5521, 6844, 7529, 617, 1880, 2875, 3635, 4430, 5826, 6410, 7421, 171, 2045, 3147, 3234, 4538, 5956, 6354, 7774, 484, 1796, 2293, 3566, 4925, 5811, 7239, 7485, 211, 2088, 2783, 4114, 4801, 6014, 6979, 8267, 304, 1494, 2326, 3909, 4389, 5534, 6284, 7515, 271, 2035, 2736, 4081, 5088, 5899, 7010, 8108, 271, 1792, 2923, 3846, 4282, 5288, 7060, 8050, 83, 1682, 3112, 3868, 5122, 5419, 6726, 7912, 83, 1682, 2175, 3999, 4650, 6034, 7207, 7933, 1008, 1494, 2944, 3960, 4324, 5470, 7067, 8071, 1008, 2079, 2766, 3986, 4702, 5243, 6254, 7350, 390, 1150, 2580, 4145, 4322, 5869, 6620, 7648, 512, 1881, 2793, 3886, 4630, 5802, 7168, 7846, 512, 1932, 2936, 4068, 5038, 5883, 6979, 7723, 308, 1218, 2838, 4068, 4782, 6211, 6972, 7764, 211, 1881, 3135, 3440, 5104, 6051, 7239, 7570, 804, 1218, 2783, 3440, 4822, 6182, 7111, 7421, 1056, 2125, 2991, 4071, 5166, 5210, 7162, 7641, 308, 1455, 2803, 4114, 5038, 5968, 7168, 8185, 804, 1791, 2957, 3671, 5058, 5968, 6988, 7876, 308, 1218, 2582, 4071, 4287, 5832, 6996, 7876, 779, 1981, 3086, 3842, 5165, 6111, 6967, 8260, 1080, 1338, 2886, 4154, 5109, 5522, 6739, 8226, 668, 1199, 2794, 3937, 4690, 5658, 7002, 7629, 1035, 1199, 2470, 3577, 5017, 5982, 7014, 7480, 807, 1199, 2797, 4066, 4379, 5551, 6820, 8140, 1067, 1129, 2677, 4067, 4617, 5618, 7076, 7560, 876, 1199, 2974, 3568, 4302, 5408, 6335, 7456, 310, 1180, 2536, 4007, 4242, 6060, 6237, 7930, 810, 1470, 2373, 3520, 4457, 5495, 7241, 8211, 327, 1301, 3116, 4047, 5072, 6097, 7153, 7803, 819, 2011, 2141, 3174, 4421, 5980, 7067, 7301, 668, 2086, 2816, 3741, 4897, 6047, 6611, 7505, 873, 1283, 3029, 3874, 4776, 6116, 6244, 7757, 692, 1286, 2313, 3576, 4539, 5978, 6686, 7778, 390, 1411, 2912, 4093, 4279, 5730, 6860, 7971, 337, 1179, 2754, 3918, 5169, 6146, 7017, 7290, 935, 2115, 2925, 3917, 4554, 5883, 6968, 7494, 935, 2032, 3006, 4028, 4533, 5901, 6771, 7485, 935, 2032, 2957, 3803, 4782, 5834, 6467, 7723, 935, 1528, 2391, 3710, 4870, 5630, 6852, 7887, 356, 1752, 2984, 4096, 4287, 5740, 6584, 7408, 512, 1876, 2783, 4006, 4470, 6137, 6850, 7919, 767, 1296, 2991, 3756, 4717, 6050, 6889, 8103, 487, 1830, 2453, 3443, 4241, 5259, 6980, 8027, 784, 1434, 2874, 3616, 5110, 6135, 6852, 7348, 895, 1421, 2429, 3581, 5110, 6135, 6390, 7394, 887, 1682, 2429, 3340, 5020, 5407, 6980, 8145, 104, 1717, 2737, 3937, 4287, 5440, 7004, 7876, 104, 1682, 2868, 3895, 4780, 5749, 6239, 7717, 104, 1717, 2256, 3949, 4556, 5749, 7007, 7421, 271, 2079, 2868, 3793, 4179, 5752, 7202, 8070, 1025, 1797, 3053, 3427, 5020, 5980, 6771, 7473, 826, 1826, 2688, 3710, 4533, 5847, 7028, 7898, 535, 1826, 3130, 3770, 5110, 5563, 6608, 8129, 535, 1283, 3101, 3187, 5110, 5793, 6974, 8028, 1040, 1283, 2882, 3356, 4321, 5398, 7129, 7784, 443, 1283, 2751, 3356, 4813, 5526, 7097, 7547, 535, 1140, 2751, 3775, 5110, 5311, 6504, 7541, 535, 1104, 2953, 3259, 4800, 5512, 6762, 7604, 535, 1653, 2141, 3741, 4729, 5311, 6555, 7686, 826, 1714, 3130, 3567, 5031, 5240, 6883, 7590, 826, 1199, 3077, 3540, 4195, 5784, 6535, 7250, 1033, 1721, 2314, 3962, 5125, 6007, 6995, 8178, 1033, 1721, 2484, 3826, 5129, 5344, 6350, 7918, 104, 1227, 2222, 3727, 4470, 5980, 6723, 8178, 104, 1227, 2282, 3581, 4842, 5297, 6566, 7941, 104, 1773, 2282, 3537, 4701, 5673, 7150, 7341, 1025, 1773, 2659, 4067, 4925, 5573, 6302, 8083, 610, 1146, 2924, 3517, 4287, 5893, 6850, 7927, 610, 1238, 2659, 3231, 4592, 5898, 7117, 8188, 540, 2043, 3151, 3351, 4661, 5787, 6768, 7737, 179, 1338, 2173, 3533, 4952, 6176, 7227, 7611, 810, 1912, 2173, 3714, 4248, 6088, 6529, 7545, 881, 1261, 2999, 3434, 4454, 5980, 6700, 8028, 404, 2067, 2173, 3332, 4356, 5671, 6711, 7962, 113, 1177, 2173, 4163, 5111, 5671, 6529, 7604, 508, 1609, 2772, 3967, 5004, 5713, 6474, 8061, 692, 2050, 2260, 3703, 4187, 5768, 6799, 7910, 569, 1463, 2173, 3505, 4475, 5806, 7016, 7790, 547, 1898, 2536, 3684, 5177, 5862, 6748, 8247, 938, 1426, 2192, 3743, 4818, 5905, 6772, 8060, 371, 1527, 2296, 3567, 4800, 5632, 7178, 7481, 1067, 1426, 2981, 4146, 4716, 5422, 6267, 7449, 371, 2036, 2294, 3940, 4324, 5782, 7108, 8103, 113, 1120, 2409, 3778, 4329, 5708, 6772, 8184, 371, 1581, 2407, 3520, 5069, 5272, 6772, 8064, 271, 1407, 2705, 3699, 4520, 5233, 6237, 7729, 641, 1658, 2401, 3525, 4413, 5634, 7000, 7284, 1033, 1454, 2716, 3779, 4668, 6031, 6484, 7312, 752, 1873, 2708, 3525, 4755, 5403, 7158, 7765, 1025, 1455, 2389, 3239, 5022, 5524, 6637, 7808, 887, 1581, 2234, 3294, 4365, 6085, 6566, 7856, 271, 1621, 2301, 3239, 5000, 5768, 7194, 7899, 115, 1828, 2868, 3644, 4543, 5814, 6683, 7261, 440, 1529, 2542, 4073, 4318, 5325, 6380, 7426, 240, 1529, 2366, 3961, 4727, 5219, 7079, 7476, 228, 1529, 2924, 3413, 5128, 5865, 6338, 7914, 225, 2063, 2791, 3394, 5166, 6132, 6240, 7664, 256, 1468, 2156, 3552, 4887, 6034, 7120, 8164, 475, 1826, 2942, 3995, 5040, 6000, 6453, 8126, 488, 2097, 2554, 3891, 4918, 6186, 6338, 8147, 1002, 2032, 2754, 3932, 4870, 5963, 7006, 7806, 945, 1528, 3065, 3893, 4798, 6139, 6794, 8223, 142, 1622, 2914, 3825, 4798, 6139, 6794, 7766, 915, 1974, 2164, 3914, 4624, 5844, 6604, 8196, 488, 1622, 2164, 3893, 4512, 6139, 6794, 8196, 915, 1750, 2858, 3827, 5079, 5493, 7124, 8266, 555, 1750, 2554, 3827, 4583, 5635, 6752, 8223, 555, 1468, 3021, 4096, 5060, 6081, 6584, 8126, 915, 2017, 3021, 3914, 4870, 6186, 7077, 7715, 142, 1528, 2806, 3825, 4704, 6139, 7077, 8223, 142, 1528, 2914, 3825, 4624, 6186, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 956, 1945, 2949, 3226, 4822, 5340, 7226, 7485, 956, 2017, 2164, 3990, 4822, 6081, 7124, 8223, 951, 2045, 3026, 3900, 5061, 5436, 6302, 7949, 149, 1561, 2627, 4037, 4978, 5981, 6461, 8248, 499, 1363, 2885, 3171, 4450, 5552, 6571, 7542, 526, 1942, 2672, 3165, 5031, 5441, 7053, 7369, 936, 1821, 2346, 3190, 4371, 5224, 6893, 8130, 752, 2059, 2591, 3900, 5067, 5250, 6611, 8093, 440, 1878, 3147, 3648, 5144, 6170, 6791, 7954, 901, 2063, 2627, 3487, 4387, 5474, 6668, 8262, 878, 1649, 2432, 3364, 4635, 5381, 6443, 8227, 844, 1898, 2440, 3566, 5058, 5804, 7003, 7303, 952, 1930, 2473, 3300, 4225, 5777, 6235, 8225, 938, 1660, 2300, 3295, 4395, 5812, 6718, 8082, 277, 2009, 2948, 3429, 5027, 5606, 6866, 7954, 436, 1928, 2312, 3450, 5154, 5408, 6375, 7626, 876, 1469, 2974, 3262, 5027, 5655, 6881, 7736, 547, 1439, 2368, 3699, 4460, 5223, 6267, 8039, 113, 1469, 3074, 3778, 4652, 5885, 6723, 7757, 531, 1469, 2435, 3479, 4274, 6053, 7193, 8243, 662, 1469, 2348, 3517, 4636, 5632, 6478, 7626, 895, 1120, 3107, 3432, 4310, 5685, 6762, 8221, 390, 2003, 2860, 3916, 4282, 5220, 6326, 8132, 308, 1386, 2980, 4026, 5169, 6025, 7221, 8185, 833, 1963, 2895, 3616, 4877, 6070, 7129, 8159, 572, 1264, 2561, 3604, 4648, 5843, 6829, 8233, 840, 1826, 2658, 3732, 4346, 6002, 6934, 7492, 943, 1826, 2658, 3513, 4392, 6002, 6680, 7636, 98, 1283, 2401, 3884, 5144, 5300, 6870, 8189, 1040, 1732, 2658, 3599, 4878, 6002, 6871, 7461, 103, 2053, 2942, 3704, 4804, 6005, 6814, 8178, 308, 1685, 2490, 3873, 5083, 5713, 6715, 7973, 956, 1963, 2991, 3873, 4276, 5210, 6752, 7717, 818, 1467, 3021, 3982, 5106, 5661, 7084, 7876, 935, 1856, 3064, 3516, 5058, 6205, 6979, 7806, 427, 1620, 2730, 4085, 5038, 6001, 6972, 8179, 403, 2000, 3089, 3168, 4692, 5980, 7095, 7367, 91, 2088, 2912, 4171, 5096, 5439, 6937, 7558, 100, 1596, 2886, 4106, 4588, 5207, 6239, 7630, 1015, 2111, 2554, 3838, 5106, 5910, 6338, 7891, 473, 1513, 2130, 4135, 4690, 6039, 6627, 8125, 752, 1645, 2383, 4168, 4861, 6166, 7100, 7962, 1029, 1919, 2326, 3386, 5091, 5791, 6272, 7919, 536, 1469, 2823, 3279, 4672, 5447, 6372, 7449, 840, 1469, 3121, 3452, 4310, 5512, 7027, 7995, 443, 1469, 3011, 3187, 4788, 5894, 6538, 7728, 840, 1926, 2882, 3187, 4706, 5424, 6517, 7623, 840, 1469, 3046, 3779, 4527, 5447, 6279, 8054, 1062, 1469, 3046, 4024, 4440, 5604, 6723, 7466, 776, 1146, 3089, 3778, 4965, 6156, 7178, 7478, 1099, 1991, 2754, 4171, 4284, 5289, 7111, 7908, 186, 1218, 2899, 4018, 5061, 5883, 6709, 8080, 935, 2000, 3128, 3390, 4276, 6103, 6709, 8066, 914, 2000, 2899, 4041, 4782, 6063, 6515, 8083, 914, 1791, 3095, 4041, 5080, 6205, 6972, 8179, 1099, 2017, 3008, 4114, 4888, 6129, 7201, 8195, 1099, 1791, 2781, 3645, 5104, 5241, 6709, 8076, 967, 1945, 2806, 4026, 5088, 6175, 7017, 7706, 1102, 1557, 2293, 3662, 4588, 5616, 6991, 7761, 840, 1402, 2868, 4162, 5006, 6114, 6622, 7724, 458, 2009, 2188, 3610, 4845, 5714, 6903, 8149, 424, 1139, 2129, 3706, 5122, 5942, 6715, 8136, 1097, 1821, 3135, 4085, 5157, 5216, 7006, 8260, 488, 1945, 3006, 3188, 5058, 6129, 6809, 8260, 488, 2017, 3007, 3983, 4980, 6129, 7132, 8076, 818, 1791, 2820, 4018, 4822, 6195, 7132, 8196, 935, 1705, 2960, 3516, 4287, 5832, 6988, 7421, 1097, 1620, 3008, 3945, 5058, 6129, 7006, 7876, 510, 1856, 3110, 4085, 4822, 6014, 6972, 7723, 293, 1517, 2818, 3651, 4625, 5758, 6629, 7384, 171, 2060, 2875, 3602, 4378, 5892, 6443, 7477, 579, 1736, 2941, 3669, 4344, 5289, 6934, 7363, 91, 1736, 2875, 3803, 4861, 5489, 6734, 8107, 512, 2065, 2340, 3904, 4690, 6131, 7098, 8117, 160, 1761, 2975, 3396, 4470, 5950, 7010, 8267, 392, 1232, 2870, 4099, 4343, 5356, 6588, 7696, 1067, 1835, 2511, 3419, 4825, 6222, 7228, 7976, 386, 1759, 2267, 3338, 4750, 5395, 6463, 7832, 386, 1517, 2705, 3426, 4369, 6215, 6501, 7508, 864, 1517, 2585, 3962, 4738, 6080, 7096, 7927, 1029, 1278, 2878, 3740, 4440, 5942, 6772, 7835, 1067, 1363, 2815, 3305, 4319, 6146, 6784, 7783, 150, 1682, 2690, 3679, 4700, 6158, 7173, 8013, 784, 1633, 2506, 4165, 5085, 6114, 6849, 7882, 504, 1582, 2173, 3776, 4743, 5749, 6784, 7918, 1024, 1407, 2678, 3233, 4829, 5500, 7194, 8170, 386, 1490, 2675, 3390, 5145, 5950, 6536, 8233, 1080, 1171, 2429, 3751, 4431, 6088, 6571, 8140, 862, 1777, 2378, 3426, 4811, 6187, 7033, 8061, 938, 1164, 2210, 3848, 4895, 5864, 7043, 8215, 970, 1164, 2128, 4103, 4716, 5620, 6736, 7980, 779, 1994, 2980, 3873, 4561, 5844, 6713, 8261, 216, 2081, 2946, 3161, 5145, 6085, 7207, 8185, 643, 1227, 2887, 4145, 4622, 6131, 6709, 8266, 390, 1998, 2838, 4027, 4630, 6146, 6850, 8209, 859, 1675, 3026, 4124, 4630, 5797, 7239, 7906, 617, 1570, 3003, 3660, 4225, 6156, 7143, 8118, 225, 1570, 2349, 3394, 4638, 6051, 6382, 8214, 225, 1719, 2491, 3761, 4775, 5863, 6820, 7948, 240, 2118, 2791, 3350, 4611, 5624, 6584, 7677, 256, 1666, 2554, 3574, 4459, 5658, 7232, 7476, 1097, 2097, 2960, 3891, 4423, 5981, 6752, 8267, 818, 1869, 2729, 4071, 5080, 5677, 7077, 8260, 818, 2068, 2960, 3914, 5061, 5705, 7077, 8179, 304, 1508, 2352, 3914, 5183, 5635, 6776, 7570, 1033, 1138, 3007, 3671, 5063, 6063, 6830, 7494, 1029, 1356, 3150, 4093, 4396, 5754, 6642, 7298, 249, 1972, 3078, 3793, 4889, 5905, 7095, 8079, 784, 1318, 2887, 3938, 5129, 6114, 7008, 7428, 504, 1873, 2999, 3246, 5061, 6050, 6347, 7574, 678, 1897, 2444, 4112, 4954, 6056, 6350, 7255, 684, 1998, 2754, 4146, 5183, 5216, 6979, 8066, 1099, 1998, 3143, 3856, 5125, 5901, 6613, 7641, 1099, 1370, 3008, 3945, 5061, 6211, 7162, 7768, 186, 1998, 2803, 4018, 5060, 6081, 7132, 8260, 984, 2000, 3064, 4174, 4583, 6085, 6996, 7806, 473, 1386, 2446, 3994, 4423, 5216, 6360, 8267, 132, 1705, 3095, 3901, 5104, 5210, 7084, 8076, 223, 2046, 2960, 3540, 5165, 5534, 6967, 7689, 1067, 2019, 2369, 3540, 4359, 6148, 7217, 7689, 304, 1441, 2690, 3330, 5053, 5346, 6702, 8184, 833, 1867, 2677, 4113, 4901, 6000, 7221, 7806, 789, 1540, 3007, 4113, 4398, 6051, 7084, 7811, 789, 2030, 3144, 3866, 5058, 5687, 6709, 7563, 440, 2097, 2561, 3390, 5137, 6080, 7143, 7948, 789, 2030, 2340, 4085, 4536, 5630, 6589, 8130, 789, 2030, 2880, 3440, 5061, 5901, 6889, 8260, 789, 2030, 2803, 3993, 5061, 6110, 7129, 8266, 789, 2030, 3065, 3886, 4611, 5892, 7239, 8179, 789, 1386, 2473, 3932, 4912, 6110, 7095, 7846, 789, 2073, 2473, 4011, 5138, 5360, 6988, 7485, 473, 2085, 2659, 3540, 5150, 6123, 6612, 7865, 685, 2035, 2981, 3925, 4672, 6179, 7218, 7933, 249, 1926, 2581, 3152, 4882, 5726, 6309, 7684, 492, 1183, 2240, 3477, 4652, 5364, 6690, 8163, 897, 1983, 3040, 4024, 5182, 5780, 7214, 7892, 840, 1261, 2612, 3486, 4835, 6034, 7028, 7567, 535, 1301, 3040, 3699, 4824, 5273, 6952, 7778, 535, 1183, 2213, 3332, 4714, 5249, 7070, 7649, 535, 1193, 3091, 3981, 4347, 5291, 7140, 7590, 840, 1510, 2830, 3493, 4813, 5506, 6779, 8033, 404, 1459, 2487, 3669, 4356, 6002, 7215, 8168, 1003, 1835, 2672, 4053, 4213, 5584, 6965, 7995, 113, 1586, 3061, 3265, 4833, 5441, 6705, 8035, 1057, 1397, 2333, 3711, 4279, 5611, 6801, 7250, 895, 1653, 3116, 3342, 4440, 5776, 6818, 8055, 319, 1758, 2218, 3434, 5095, 6101, 6333, 8070, 1057, 1586, 2406, 3447, 4636, 6153, 7230, 7867, 1062, 1196, 2378, 3191, 4784, 5838, 6651, 7832, 113, 1710, 2891, 4087, 4893, 5609, 6614, 7291, 1024, 1758, 2348, 3478, 4607, 5934, 7033, 7939, 895, 1886, 2564, 3703, 4814, 6005, 6692, 7966, 1024, 1884, 2336, 3446, 4596, 6128, 6889, 7435, 831, 1388, 2156, 3984, 4636, 5899, 6753, 7481, 256, 1529, 2924, 3939, 4665, 5659, 6634, 7905, 225, 1676, 2188, 3727, 4602, 5443, 6476, 7755, 317, 1540, 2268, 3337, 4231, 6109, 6348, 7795, 390, 1252, 2942, 3366, 4399, 5903, 6715, 8205, 752, 1873, 2235, 3901, 4566, 5913, 6829, 8260, 113, 1821, 2429, 3704, 4509, 5797, 6757, 7260, 826, 1966, 2282, 3936, 4334, 5583, 7082, 7616, 150, 1655, 2348, 3195, 4334, 6154, 7164, 7767, 150, 1878, 2207, 3393, 4793, 5266, 7148, 7480, 150, 1255, 2944, 3918, 5129, 5481, 7203, 8076, 752, 1670, 2915, 3990, 4551, 6051, 7220, 7902, 1033, 1402, 2615, 3256, 4856, 5534, 6809, 7260, 150, 1820, 3056, 3932, 4802, 5534, 6812, 8252, 1025, 1797, 2766, 4150, 4337, 5616, 6352, 7312, 1090, 1682, 2895, 3249, 5079, 5250, 6663, 7776, 465, 1407, 2497, 3826, 4927, 6061, 7055, 7835, 249, 1531, 2452, 3878, 4702, 5778, 6869, 7643, 1029, 1969, 2497, 3552, 4418, 5465, 6386, 8225, 104, 1158, 2896, 3169, 5093, 5678, 7148, 7812, 833, 1850, 2678, 3901, 5164, 5740, 6566, 7754, 308, 1939, 2473, 3644, 4792, 6205, 7019, 7570, 684, 1851, 2947, 4171, 5085, 6110, 7201, 8099, 304, 1833, 2360, 3671, 4398, 5678, 6755, 7641, 390, 1141, 3008, 4113, 4512, 6110, 6584, 7291, 844, 1655, 2335, 3922, 4596, 6050, 6986, 7905, 83, 1820, 2842, 3245, 4919, 5302, 6872, 8128, 875, 1826, 3089, 3661, 4697, 6197, 6934, 7607, 249, 1826, 2191, 3770, 4755, 5595, 7184, 7930, 179, 1826, 2192, 3909, 5199, 5454, 6875, 8068, 936, 1826, 2209, 3944, 5092, 5787, 6875, 7623, 492, 1193, 2793, 3394, 4340, 5857, 7229, 7634, 113, 1490, 3034, 3394, 4742, 5638, 6875, 8211, 247, 1496, 2532, 3394, 4468, 5656, 6805, 8128, 581, 1924, 2869, 3936, 4627, 5288, 6354, 8168, 895, 1490, 2888, 3735, 4755, 5810, 6933, 7301, 360, 1828, 2140, 3536, 4966, 5470, 7014, 7613, 1030, 1463, 2173, 3543, 4359, 5999, 6319, 8069, 770, 2036, 2599, 3755, 4678, 5608, 6311, 8155, 776, 1120, 2282, 4067, 4339, 5632, 6791, 7996, 1011, 1427, 2282, 3314, 4179, 5632, 6478, 7488, 641, 1531, 2748, 4067, 4444, 5771, 6391, 7868, 1084, 1269, 3130, 3939, 4318, 5512, 7043, 7646, 397, 1139, 2238, 3892, 4205, 5501, 6763, 7824, 881, 1397, 2196, 3514, 4422, 6117, 6771, 7336, 234, 1653, 2610, 3331, 4474, 5800, 6461, 8108, 569, 1942, 2593, 3696, 5045, 6217, 6224, 7304, 668, 1706, 2520, 3342, 4804, 5745, 6978, 8086, 996, 1942, 2543, 3751, 4775, 6013, 6614, 8061, 1080, 1289, 2327, 3936, 4800, 5811, 6883, 7919, 1036, 2079, 2327, 3714, 4590, 5706, 6581, 8234, 569, 1550, 3105, 3741, 4790, 5476, 7063, 8211, 459, 2095, 2751, 3986, 5151, 5552, 6256, 8064, 487, 1653, 2258, 3358, 4869, 5868, 6663, 7527, 390, 1992, 2885, 4037, 4586, 5869, 6732, 8077, 1097, 1992, 2582, 3873, 4267, 5705, 7033, 7421, 818, 1945, 2895, 3188, 4681, 6205, 7006, 7806, 818, 1620, 2925, 3893, 4624, 6103, 7084, 8179, 818, 1791, 2803, 3825, 4624, 5241, 7239, 7766, 818, 1622, 3135, 4018, 4782, 5635, 7201, 8185, 488, 1528, 2164, 3893, 4782, 6139, 6709, 7766, 488, 1528, 2833, 3893, 4624, 6139, 6589, 8196, 488, 1528, 2914, 3891, 4798, 6081, 7226, 8080, 488, 1528, 2833, 3893, 4624, 6081, 6589, 8147, 915, 1684, 2164, 3803, 4704, 5635, 7120, 7485, 555, 1974, 2833, 3825, 4624, 5635, 7077, 8080, 555, 1684, 3064, 3374, 4890, 6186, 6589, 8223, 915, 2111, 2914, 3914, 4798, 5550, 7098, 8223, 488, 2111, 3065, 3893, 4583, 5635, 7226, 8080, 915, 1622, 2164, 3374, 4798, 5241, 6752, 7677, 488, 1528, 2833, 3893, 4624, 6081, 7120, 8223, 915, 1648, 2806, 3914, 4512, 5241, 7152, 8223, 555, 1684, 3064, 3893, 4512, 6182, 7152, 8237, 555, 1684, 3064, 3893, 4681, 5515, 6677, 8196, 555, 1684, 3021, 4166, 5079, 5550, 6515, 7485, 915, 2106, 2806, 4068, 4888, 6205, 7077, 8223, 555, 1684, 3064, 3893, 4624, 6081, 6996, 8196, 915, 1684, 2970, 3825, 4624, 5635, 7120, 7485, 555, 1684, 3064, 3825, 4387, 6186, 7120, 8223, 915, 1684, 2164, 3825, 4387, 5981, 7120, 7485, 488, 1684, 2914, 3893, 4681, 5534, 6589, 7766, 860, 1528, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2806, 3825, 4798, 6081, 6794, 7723, 142, 1528, 2949, 3367, 4798, 5883, 7077, 8223, 488, 1381, 3065, 4108, 5076, 6129, 6972, 8223, 512, 1945, 3098, 3945, 4583, 6182, 6709, 7715, 858, 1949, 2638, 3993, 4641, 6190, 6734, 7537, 271, 1614, 2678, 3413, 4852, 5409, 6684, 7815, 866, 1350, 2207, 3962, 5197, 5934, 6442, 7517, 664, 2059, 2627, 3537, 5001, 5578, 6315, 8032, 723, 1510, 2842, 3366, 4835, 5408, 6622, 8032, 723, 1510, 2346, 3238, 4814, 6135, 6348, 7426, 1040, 1283, 2848, 3741, 4678, 5300, 6853, 7784, 408, 2059, 3039, 3997, 4934, 6125, 6740, 7881, 663, 1455, 2207, 3788, 4219, 5500, 6566, 7930, 1037, 2073, 2293, 3159, 4897, 5943, 7205, 7983, 1084, 1468, 2166, 3488, 4486, 5983, 6777, 7582, 113, 1139, 2346, 4087, 4489, 5727, 6806, 8191, 535, 1397, 2788, 3448, 4256, 5600, 7044, 7974, 462, 1283, 2464, 3485, 4539, 5381, 6793, 7800, 672, 1669, 2751, 3709, 4495, 5800, 7061, 7651, 1040, 1118, 2751, 3218, 4800, 6005, 6748, 7375, 280, 1942, 2751, 3192, 4800, 5867, 6287, 7413, 646, 2008, 2610, 3358, 4756, 6145, 7229, 8077, 826, 1397, 2740, 3551, 5031, 5708, 6528, 7336, 1090, 2107, 2794, 3613, 4261, 5788, 7220, 7764, 826, 1676, 2462, 3427, 4993, 6195, 6480, 7248, 104, 1486, 2436, 3560, 4536, 6187, 6540, 8034, 826, 2079, 2436, 3630, 4287, 5600, 7244, 7838, 104, 1538, 2794, 3936, 4343, 5765, 6626, 7557, 391, 1489, 2794, 3271, 4688, 5908, 7010, 8085, 104, 1439, 2810, 3558, 4337, 6025, 7096, 8197, 487, 1942, 2490, 3649, 4215, 5527, 7223, 7927, 986, 1397, 2805, 3823, 4620, 6154, 7083, 8012, 807, 1335, 2885, 3860, 5020, 5934, 7053, 7683, 993, 1797, 2440, 3500, 4929, 5266, 6592, 7404, 1057, 1732, 2655, 3826, 4259, 5276, 6924, 8248, 826, 1570, 2688, 3719, 4576, 5749, 6224, 7971, 443, 2125, 2987, 3930, 4321, 5783, 6313, 7759, 299, 1826, 2847, 3745, 5137, 5512, 7112, 7311, 104, 1509, 2436, 3504, 4269, 5755, 7035, 8209, 1025, 1770, 2436, 3870, 4925, 5760, 6668, 8261, 826, 1935, 2868, 3840, 4861, 6146, 7132, 8083, 887, 1581, 2868, 3393, 4925, 6084, 6899, 8266, 104, 1770, 2783, 3886, 5118, 5491, 6815, 7895, 1090, 1660, 3092, 3662, 5096, 5475, 7234, 7794, 390, 1791, 2860, 4011, 4923, 5801, 6792, 8266, 955, 1976, 2793, 3916, 5088, 6131, 6810, 8209, 776, 1821, 2163, 3826, 4276, 5678, 7019, 7782, 150, 1531, 2348, 3819, 4343, 5902, 7091, 7428, 875, 1771, 2486, 3356, 5049, 5976, 7114, 7671, 895, 1531, 2961, 3972, 4825, 5205, 6306, 7457, 895, 1838, 2868, 3429, 4882, 5865, 6474, 8133, 663, 1200, 3038, 3537, 4621, 6021, 6630, 7547, 826, 1676, 2659, 4011, 5159, 5477, 7069, 7386, 887, 1227, 3020, 3889, 5083, 5223, 6478, 7381, 850, 1182, 2659, 3901, 5115, 6058, 6734, 7806, 408, 1540, 3076, 3407, 5198, 5295, 6702, 7846, 937, 1587, 2881, 4073, 5166, 6179, 7207, 7716, 831, 1931, 2727, 3983, 5165, 5344, 7205, 7260, 610, 1138, 2900, 3420, 4387, 6058, 6633, 7591, 1009, 1697, 2687, 4110, 4423, 5691, 6892, 8219, 1080, 1469, 2409, 3168, 4626, 5255, 7092, 8152, 492, 1199, 2580, 3241, 5051, 5719, 6262, 7746, 910, 1912, 2474, 3276, 4495, 5410, 6568, 7839, 895, 1426, 2819, 3356, 4824, 5387, 6549, 8238, 313, 1776, 3130, 3309, 4649, 5977, 7142, 7899, 1036, 2036, 2628, 3585, 4835, 5624, 6974, 7486, 862, 1399, 3137, 4162, 4352, 5471, 7018, 7726, 668, 1132, 2953, 3936, 4607, 6055, 6883, 7293, 692, 2107, 2327, 3392, 5146, 5570, 6735, 7568, 569, 1942, 2787, 3383, 4626, 5800, 6347, 8209, 408, 1388, 2787, 4007, 4662, 5583, 7043, 8193, 850, 1942, 2222, 3943, 4796, 6028, 6814, 7868, 424, 1671, 2136, 4082, 4191, 5963, 7157, 7481, 850, 1676, 2135, 3756, 4530, 5573, 6736, 8143, 778, 1950, 2429, 3642, 4690, 6044, 6260, 7513, 850, 1182, 2429, 3488, 4757, 5695, 6774, 7965, 408, 2021, 2429, 3468, 5092, 5784, 6904, 8107, 731, 1350, 2582, 4101, 5142, 6211, 6270, 7260, 408, 1271, 2330, 3671, 4930, 5944, 6719, 8085, 610, 1399, 2924, 4093, 4429, 5641, 6884, 8163, 104, 1581, 2515, 3616, 4272, 6183, 6892, 7521, 793, 1972, 2975, 4053, 4945, 6061, 6316, 7590, 1040, 1426, 2591, 3255, 4419, 6111, 6778, 8011, 897, 1426, 3137, 3740, 4804, 5510, 7212, 7656, 492, 1828, 2263, 3875, 4636, 5865, 7055, 7546, 113, 1455, 2848, 4144, 4606, 5920, 6258, 7827, 160, 2067, 2775, 3709, 4776, 6217, 7139, 7864, 654, 1826, 2801, 4021, 4945, 5221, 6468, 8137, 654, 1826, 2548, 3798, 4529, 5792, 6604, 7918, 240, 1756, 2529, 4103, 4859, 5892, 6671, 7477, 240, 1201, 2729, 3470, 4716, 5827, 7162, 7774, 914, 2017, 3131, 3516, 4298, 5767, 7082, 7753, 818, 2097, 2806, 4011, 4704, 5901, 6889, 7806, 488, 1620, 2560, 3803, 4398, 6129, 6752, 8260, 818, 1528, 2806, 3982, 4888, 5832, 7168, 8237, 818, 1622, 3135, 4018, 4624, 6139, 6972, 8237, 186, 1804, 2838, 4071, 4551, 5901, 7084, 7485, 510, 1675, 2960, 3945, 5166, 5216, 6752, 8185, 731, 1676, 2795, 3987, 4822, 6001, 7237, 8267, 390, 1370, 2783, 4170, 5061, 5210, 6988, 8066, 1071, 1881, 3064, 3226, 5165, 5612, 6566, 7723, 955, 1747, 2793, 4071, 4343, 5491, 6988, 7557, 761, 1601, 2701, 3253, 4881, 6144, 7010, 8200, 862, 1397, 2798, 3911, 4641, 5366, 7202, 7803, 672, 1597, 2741, 3733, 4629, 5212, 6577, 7490, 1040, 1118, 3016, 3353, 4212, 5599, 7246, 8006, 545, 1942, 2293, 3413, 4433, 6215, 6929, 7752, 986, 1397, 2345, 3695, 4900, 6003, 6640, 7869, 582, 1834, 2336, 3939, 4688, 6123, 7155, 7587, 807, 1918, 2718, 4057, 4533, 5391, 7038, 8129, 986, 1706, 2470, 4082, 4604, 5935, 6733, 7627, 582, 1834, 2490, 3939, 4742, 6094, 7085, 7611, 643, 1965, 2490, 3363, 4191, 5447, 6504, 7508, 545, 2059, 2799, 3871, 4535, 5716, 6905, 7574, 970, 1706, 2817, 3493, 4337, 5730, 6717, 8236, 103, 1455, 2361, 4103, 4588, 5552, 7085, 7450, 391, 1706, 2167, 3391, 4717, 5318, 7076, 7799, 103, 1146, 2692, 3962, 5031, 6212, 6915, 7744, 103, 2107, 2943, 3410, 4818, 5810, 6909, 7288, 779, 1591, 2946, 3770, 4633, 5776, 6803, 7384, 1090, 1331, 3080, 4037, 5080, 5650, 6576, 7386, 709, 1653, 2794, 3710, 4513, 6110, 6871, 8209, 779, 1858, 2593, 4155, 5085, 5661, 6607, 7706, 1097, 1623, 3053, 3413, 5106, 5677, 7132, 8130, 956, 1623, 2960, 4174, 5058, 5705, 6719, 8185, 142, 1528, 2914, 3825, 4822, 5241, 7239, 7717, 488, 2017, 2806, 3893, 4980, 5241, 6972, 7766, 488, 1622, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 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, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 53, 26, 5, 41, 11, 31, 35, 5, 76, 11, 78, 5, 30, 33, 30, 3, 488, 1623, 2746, 3886, 5159, 5661, 6979, 8236, 818, 1623, 2746, 3803, 4704, 6195, 6996, 7949, 956, 1648, 3110, 3825, 4980, 5705, 7207, 8196, 1064, 1700, 2858, 3352, 4467, 6064, 6740, 8077, 249, 1503, 2772, 3849, 4417, 5526, 7195, 7746, 310, 1509, 2353, 3578, 4699, 5624, 6521, 8000, 556, 1346, 3091, 3216, 4462, 5535, 7061, 8075, 499, 1605, 2629, 3394, 4381, 5400, 6941, 8121, 1067, 1510, 2271, 3639, 4801, 5299, 6592, 8182, 304, 2000, 2646, 3218, 4589, 5898, 6278, 7658, 518, 1452, 2381, 3706, 4437, 6058, 7163, 7930, 518, 2030, 2429, 3550, 5095, 6192, 6986, 7918, 518, 2030, 2803, 3595, 5120, 6051, 7201, 7962, 789, 2030, 2820, 4006, 5143, 5677, 7129, 7966, 789, 1525, 2991, 3891, 4888, 5385, 6810, 8179, 789, 1851, 2803, 3364, 4700, 6182, 7090, 7677, 256, 1452, 3131, 3803, 4298, 6182, 6810, 7715, 256, 1452, 2746, 4011, 4870, 6062, 7084, 7732, 518, 2097, 2944, 3407, 5128, 6129, 6604, 8236, 541, 1525, 2493, 4153, 4918, 5350, 6772, 8061, 355, 1318, 2560, 3994, 4740, 5863, 6360, 7842, 767, 2050, 2913, 3964, 4727, 5983, 7094, 8265, 472, 1972, 2296, 3220, 4655, 6033, 6329, 7430, 262, 2029, 2680, 3489, 5175, 5576, 6403, 8168, 1006, 1922, 3040, 3354, 5175, 5578, 7117, 7990, 208, 2100, 2961, 3561, 4678, 6119, 6446, 7626, 1064, 1877, 2603, 3967, 4324, 5917, 6619, 8204, 501, 1173, 2680, 3600, 4332, 5797, 6700, 7611, 948, 1592, 2394, 3536, 5005, 5646, 6761, 7604, 508, 1711, 3040, 3785, 5021, 6000, 6897, 7755, 1064, 1183, 2191, 3507, 4429, 5797, 6721, 7758, 1064, 1183, 2431, 3507, 4935, 6034, 6239, 7567, 1064, 1900, 2691, 4027, 4830, 5954, 6666, 8235, 391, 1183, 2194, 3256, 4873, 5624, 6566, 7807, 571, 1608, 2998, 4125, 4332, 5590, 6668, 8178, 779, 1370, 3143, 4011, 4870, 6160, 6467, 7677, 571, 1523, 3143, 3987, 4828, 5671, 7069, 7703, 1102, 1206, 2709, 3595, 5085, 5573, 6519, 7895, 149, 1183, 2389, 3454, 4439, 5360, 7143, 7516, 315, 1199, 2298, 3356, 4657, 5373, 6615, 7702, 1008, 1503, 2578, 3836, 4354, 5443, 6743, 8140, 277, 1318, 2869, 3600, 5158, 6035, 6974, 7578, 547, 1469, 2314, 3533, 5066, 5697, 6302, 7724, 779, 1847, 3095, 3253, 4589, 5834, 7023, 7355, 571, 1363, 2715, 4074, 5058, 5573, 6967, 8080, 1051, 1778, 3043, 3990, 4867, 5834, 6809, 8188, 304, 1812, 3006, 3240, 4822, 5650, 6938, 8093, 833, 1847, 3060, 4112, 4533, 5210, 7162, 7458, 942, 1318, 2863, 3856, 4181, 6120, 7100, 7674, 948, 1992, 2290, 3918, 5079, 5900, 6540, 8266, 262, 1120, 2482, 3299, 5108, 5634, 6298, 7329, 1067, 1338, 2697, 3448, 4748, 5744, 6354, 7954, 692, 1400, 2497, 3770, 4485, 5624, 6484, 7255, 271, 1596, 2154, 3770, 5023, 5385, 6657, 8069, 504, 1400, 2871, 4166, 5070, 5710, 7071, 7602, 613, 2118, 3020, 3575, 4621, 5589, 7188, 7509, 576, 2002, 2556, 4096, 4776, 5490, 6619, 7894, 518, 1252, 2801, 4080, 4775, 6105, 6715, 8031, 654, 1773, 2188, 3183, 5135, 5486, 7168, 8033, 453, 1265, 3091, 3831, 4829, 6084, 6740, 7421, 804, 1945, 2918, 3672, 4912, 5677, 7129, 7781, 308, 2063, 2980, 3803, 4877, 5658, 7033, 7563, 804, 1363, 3108, 3914, 5125, 6063, 7149, 7846, 308, 1944, 2598, 3914, 4782, 5901, 6871, 8223, 684, 2046, 2947, 4068, 4912, 5832, 6979, 7677, 804, 1906, 2754, 4068, 4512, 5694, 7201, 8185, 874, 1817, 3003, 3213, 4849, 5584, 6976, 8031, 825, 1695, 2701, 3564, 4793, 5296, 7051, 7905, 752, 1374, 2455, 3183, 4222, 5653, 6517, 7530, 113, 2117, 2190, 3568, 5069, 5298, 6269, 7904, 876, 1753, 2415, 4070, 4364, 6080, 6908, 8169, 992, 1938, 3029, 3869, 5188, 5696, 6319, 7759, 807, 1534, 2415, 3469, 5164, 5810, 6234, 7955, 844, 2003, 2327, 4073, 4321, 5870, 6798, 7885, 756, 1442, 2659, 3957, 4294, 6032, 6364, 7976, 1059, 1282, 3001, 3623, 4449, 6142, 6929, 7869, 708, 1600, 2316, 3943, 4949, 5827, 7087, 8126, 940, 1623, 2327, 3239, 4900, 6119, 6474, 7940, 708, 1349, 2366, 3555, 4949, 5633, 6474, 8169, 211, 1140, 2839, 3778, 5118, 5827, 6723, 7585, 575, 1695, 2688, 3623, 4999, 5778, 6444, 7706, 1081, 1349, 3064, 4150, 4592, 6034, 6607, 7934, 818, 2046, 2496, 3516, 5080, 5340, 7237, 8147, 510, 1668, 2754, 3916, 5183, 5901, 6589, 8213, 804, 1705, 2895, 3962, 4822, 6211, 6709, 7717, 510, 1791, 2838, 3918, 5061, 5883, 6988, 7723, 510, 1705, 2783, 3886, 4583, 5241, 6786, 7557, 510, 2041, 2991, 3909, 5104, 5705, 6979, 7717, 510, 1668, 3043, 4071, 4387, 6182, 7132, 8147, 397, 1995, 2720, 3193, 4764, 5550, 6613, 7542, 938, 1881, 3097, 3752, 4307, 6164, 6820, 7889, 620, 1347, 2724, 3623, 4207, 5761, 7198, 7250, 1038, 1349, 2530, 3469, 5103, 6005, 7035, 7673, 403, 1560, 2871, 4067, 4214, 6070, 6909, 8240, 288, 2111, 2820, 3831, 4399, 5480, 6980, 7770, 105, 1496, 2579, 3426, 4925, 6120, 6683, 7887, 935, 1496, 2936, 3240, 4896, 5923, 6809, 7716, 201, 2111, 2806, 3803, 4704, 6211, 6630, 7949, 201, 1528, 2806, 3803, 4704, 6182, 6794, 7766, 488, 1528, 2806, 3825, 4624, 6139, 7084, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8147, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 4, 2 ]

[ 1, 64, 45, 66, 5, 44, 54, 5, 26, 30, 16, 52, 54, 16, 64, 5, 5, 3, 654, 1826, 3084, 3532, 4780, 5548, 6453, 7816, 654, 1286, 2340, 3930, 4237, 6034, 6701, 7291, 654, 2106, 2875, 4121, 4921, 5767, 6964, 8262, 654, 2060, 2221, 3692, 4193, 5942, 7069, 7563, 654, 2106, 2833, 3227, 4700, 5767, 6291, 8102, 127, 2013, 2565, 3277, 5143, 6175, 6876, 8118, 518, 1424, 2565, 3931, 4700, 5863, 7098, 7303, 228, 2097, 2359, 3771, 5135, 5586, 6307, 7473, 149, 2118, 2830, 3566, 5179, 5483, 6889, 7420, 640, 1349, 2994, 4124, 4701, 5245, 6848, 7393, 664, 1564, 3049, 4128, 4421, 5633, 6923, 7778, 930, 2089, 2172, 3631, 4790, 5695, 7067, 7557, 1006, 1695, 2939, 3894, 5143, 5658, 6260, 7311, 1088, 1807, 2513, 3844, 4987, 5924, 6235, 7821, 1003, 1695, 2648, 3276, 4209, 6041, 6724, 7826, 779, 1695, 2960, 3533, 4381, 5379, 6871, 7727, 914, 1508, 2980, 4027, 5159, 5821, 6338, 7677, 818, 1620, 2996, 3827, 5061, 5832, 6810, 7570, 878, 2046, 2709, 3905, 4374, 6050, 6607, 7555, 489, 1881, 2921, 3798, 4996, 5982, 7087, 7628, 831, 1695, 2432, 3853, 4998, 6160, 6849, 7706, 987, 1264, 2508, 3425, 4790, 6187, 7099, 7404, 668, 1637, 2706, 3305, 4916, 5352, 6716, 7878, 1036, 1692, 2725, 3329, 4708, 5366, 7146, 7755, 781, 1834, 2429, 3792, 4901, 6194, 6813, 8263, 249, 1782, 2271, 3596, 4335, 6039, 6663, 7920, 884, 1302, 2327, 3169, 4724, 5907, 6663, 7899, 725, 1942, 2312, 3882, 5009, 5993, 7229, 7880, 887, 1402, 2519, 3384, 4832, 5980, 6604, 7312, 150, 1269, 2401, 3703, 4588, 5664, 6958, 8012, 1025, 1510, 2901, 4078, 4672, 5777, 6517, 7570, 643, 1171, 2311, 4143, 5020, 5760, 6448, 8074, 896, 1496, 2258, 3925, 4364, 5605, 6954, 7737, 293, 1529, 2701, 3567, 4364, 6199, 6875, 7794, 508, 1119, 2258, 3218, 4604, 6087, 6857, 7481, 508, 1294, 2687, 3332, 4222, 6053, 6991, 7593, 508, 1294, 2316, 3694, 4815, 5791, 6494, 7935, 247, 1183, 2591, 3663, 4961, 5578, 7143, 7785, 993, 1183, 2800, 3626, 5094, 5602, 7154, 8081, 673, 1789, 2639, 3411, 4564, 5624, 6731, 7712, 840, 1183, 3023, 4138, 4804, 5287, 6658, 7983, 884, 1183, 3140, 3332, 5036, 5858, 6770, 7594, 249, 2088, 2869, 3684, 4213, 5846, 6610, 7926, 363, 1789, 3070, 3672, 4314, 5369, 7123, 7423, 262, 1794, 2972, 4156, 4885, 5660, 6466, 7529, 981, 1411, 2764, 4133, 4854, 5479, 7140, 7643, 1024, 1561, 2332, 3279, 4585, 5553, 7023, 7303, 1024, 1118, 2940, 3953, 5130, 5866, 6759, 7264, 692, 1637, 2872, 3596, 5115, 5505, 6361, 8193, 405, 1562, 2380, 3917, 4470, 5223, 6770, 8132, 684, 1750, 2970, 3886, 5058, 6080, 6996, 8066, 833, 1635, 2925, 3676, 4877, 5413, 7207, 8191, 923, 1623, 2802, 4126, 5040, 5204, 7024, 7547, 731, 1490, 2934, 3992, 4573, 6208, 6603, 7913, 692, 1183, 3103, 4087, 4545, 6052, 6439, 7336, 271, 1183, 2937, 3217, 4511, 5332, 6934, 8143, 266, 2050, 2152, 3882, 4453, 6099, 7130, 7800, 150, 1926, 2479, 3934, 4598, 5717, 7150, 8155, 784, 1440, 2313, 3614, 4470, 6101, 6912, 7810, 504, 1547, 2687, 3637, 4743, 5604, 6898, 7367, 1025, 1867, 2506, 4053, 4676, 5747, 6732, 7254, 1025, 1624, 2932, 3605, 4371, 5862, 6668, 7473, 1025, 1913, 3064, 3916, 4509, 5899, 7198, 8104, 211, 2001, 3092, 3440, 4509, 6175, 7109, 8012, 211, 1924, 2895, 3440, 4509, 5694, 6980, 8047, 610, 1407, 2503, 4068, 5106, 6146, 6579, 8237, 887, 1403, 2709, 3201, 4859, 6191, 6903, 7908, 887, 1946, 2486, 3472, 4723, 5297, 6476, 7513, 913, 1494, 2542, 3924, 4861, 5810, 7192, 8034, 1057, 1706, 2688, 3421, 4616, 5819, 6267, 7856, 1084, 1919, 2953, 3709, 4228, 6026, 7096, 7954, 1090, 1706, 2151, 3298, 4437, 6114, 6739, 7559, 981, 1706, 2696, 4082, 4945, 5607, 7083, 8241, 913, 2107, 2271, 3986, 4228, 5385, 6587, 7531, 403, 2125, 2750, 3550, 5007, 6002, 6507, 7473, 228, 1623, 2947, 3586, 4340, 5223, 7058, 7707, 699, 1935, 2181, 4157, 4611, 5918, 6348, 8130, 654, 1345, 2629, 3753, 4638, 6182, 7192, 7715, 654, 1826, 2792, 3777, 4877, 5767, 6251, 7641, 518, 2065, 3133, 3827, 4267, 5202, 6966, 7509, 518, 2118, 3133, 3933, 5168, 6175, 7152, 7664, 228, 2106, 3026, 3376, 5007, 6041, 6338, 7260, 543, 2127, 2282, 3777, 5160, 6175, 6338, 7477, 859, 2127, 3133, 3891, 5079, 6097, 7232, 8237, 186, 2111, 2792, 3704, 4877, 5378, 6677, 7806, 860, 1528, 2806, 3550, 4398, 6139, 7077, 7677, 488, 1622, 2806, 3550, 4398, 6139, 7077, 8147, 488, 1528, 3117, 3367, 4624, 6149, 7124, 8223, 818, 1648, 2914, 3893, 4624, 6129, 6972, 7766, 915, 1528, 2806, 3825, 4798, 6186, 6794, 7723, 510, 1804, 2957, 4068, 4980, 5612, 7239, 7421, 4, 2 ]

[ 1, 16, 54, 30, 5, 17, 55, 51, 16, 52, 5, 28, 45, 52, 47, 5, 41, 33, 52, 66, 5, 52, 20, 64, 66, 5, 16, 54, 30, 5, 52, 57, 54, 52, 47, 5, 44, 54, 5, 43, 45, 78, 5, 64, 66, 63, 39, 54, 50, 5, 64, 35, 23, 54, 30, 44, 55, 78, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 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, 186, 2111, 3065, 3825, 5038, 5635, 7226, 8196, 555, 1648, 2970, 3891, 4555, 6205, 6979, 8267, 610, 1375, 3133, 3370, 4459, 5558, 6402, 7383, 511, 1821, 2972, 3171, 4597, 6217, 7129, 7580, 556, 1385, 2361, 4133, 4459, 5655, 6881, 7930, 632, 1251, 2693, 3429, 4734, 6125, 6308, 7702, 678, 2085, 2553, 4107, 4492, 5746, 7096, 7852, 731, 2095, 2868, 4153, 4379, 5204, 6286, 8236, 547, 1637, 2868, 4153, 4433, 5974, 7157, 7941, 970, 1315, 2990, 4120, 4536, 5802, 6717, 7559, 938, 2090, 2455, 4096, 4374, 5344, 7237, 8023, 304, 1415, 2905, 4078, 4859, 5854, 7207, 7570, 1080, 1210, 3141, 3904, 4699, 5970, 7063, 7426, 668, 1679, 3137, 3659, 4759, 6142, 6434, 7944, 835, 1199, 2934, 3171, 4760, 5769, 7078, 7604, 428, 1305, 2540, 3304, 4469, 5443, 6453, 7286, 547, 1852, 2173, 3300, 4238, 5946, 6506, 8177, 970, 1982, 2894, 3502, 5199, 5235, 6826, 7551, 288, 1407, 2543, 3176, 5129, 5459, 6272, 8054, 132, 2024, 2754, 3945, 4861, 6103, 6830, 7485, 935, 1175, 2899, 3393, 5080, 5981, 7218, 7658, 427, 1992, 3006, 3932, 5153, 6205, 7239, 7658, 132, 1992, 2803, 3932, 4553, 5573, 7120, 7876, 678, 1585, 2709, 3206, 4890, 5705, 6348, 7957, 485, 1917, 2639, 3185, 4727, 5209, 6847, 8079, 831, 2075, 2659, 3842, 4437, 6080, 7069, 7337, 1008, 1190, 2137, 4073, 4487, 5227, 6284, 8236, 332, 1996, 2173, 4128, 4984, 5244, 7158, 7804, 975, 1996, 2321, 3623, 4205, 5636, 6969, 7873, 1024, 1305, 3040, 3623, 4270, 5872, 6936, 7840, 304, 1777, 2493, 3224, 4757, 6171, 6611, 7438, 211, 1534, 2798, 4097, 5166, 5305, 7010, 7256, 211, 1924, 2989, 3866, 4291, 6063, 7218, 8237, 211, 1581, 3006, 4166, 4276, 5630, 6996, 8188, 684, 1620, 3038, 3866, 4895, 5994, 7149, 7753, 804, 1791, 2895, 4108, 5104, 5534, 6688, 7806, 308, 1218, 3095, 4085, 5038, 5210, 7230, 7720, 804, 1508, 2947, 3188, 4592, 5832, 6688, 8266, 1056, 2125, 3095, 4071, 5061, 5635, 6996, 7806, 308, 1791, 2924, 3188, 4583, 6081, 6604, 8266, 247, 1545, 2144, 3441, 5050, 5386, 7017, 7627, 363, 1586, 2561, 3237, 4350, 5304, 7242, 8170, 574, 1510, 2529, 3434, 4226, 5570, 6313, 8045, 381, 1633, 2563, 3770, 5124, 6153, 6763, 7921, 862, 1826, 2764, 3356, 4720, 5935, 6354, 7304, 1080, 1137, 2961, 3187, 5031, 5615, 7172, 7442, 1080, 1682, 3040, 3981, 5031, 5643, 7242, 7350, 386, 1440, 2540, 3464, 5022, 6037, 6446, 7250, 1024, 1740, 2607, 3601, 5017, 5611, 6763, 7609, 1024, 1440, 2940, 3233, 4887, 6066, 6308, 7383, 995, 1510, 2829, 3905, 4298, 5579, 6925, 7313, 397, 1832, 2233, 3623, 4999, 5437, 7019, 7784, 397, 2047, 2262, 3764, 4755, 5984, 6286, 7688, 986, 2034, 2222, 3232, 4671, 5976, 6580, 8241, 103, 1231, 2497, 3500, 4218, 5781, 6309, 8034, 103, 1315, 2923, 3363, 4849, 6149, 6422, 7303, 103, 2047, 2565, 3756, 5145, 5538, 6579, 8107, 678, 1561, 2895, 4171, 4423, 5935, 6302, 7968, 940, 1773, 2317, 4113, 5075, 5844, 7162, 8262, 789, 2030, 2971, 3732, 4287, 5677, 6979, 7870, 899, 2030, 2340, 3376, 5153, 6222, 6740, 7311, 789, 1886, 2554, 3364, 5143, 5573, 6776, 8080, 256, 2030, 2925, 4145, 4900, 5694, 6883, 7753, 256, 2030, 3135, 3761, 5163, 5661, 6840, 8266, 518, 1620, 3000, 3680, 5088, 5350, 7132, 7563, 878, 2111, 2946, 3951, 4536, 5708, 6630, 7563, 1047, 2097, 2490, 4095, 4179, 5444, 6302, 7831, 318, 1472, 2987, 3732, 4906, 5468, 7157, 8124, 973, 1507, 2487, 3733, 4746, 5434, 6538, 8038, 458, 1630, 3055, 3755, 4931, 5594, 6881, 8226, 736, 1171, 2725, 3570, 4470, 6015, 6829, 7291, 736, 1691, 2693, 3559, 5031, 5692, 6309, 8190, 840, 1658, 2693, 3882, 5083, 6145, 7156, 7254, 262, 1385, 2173, 3558, 4421, 6021, 7104, 8135, 1011, 1318, 2790, 3520, 4823, 5344, 7218, 7401, 1011, 1547, 2313, 3400, 4467, 5410, 6898, 7810, 678, 1251, 2360, 3783, 4861, 5332, 6884, 8267, 951, 1705, 3095, 3400, 4872, 5493, 7144, 7879, 510, 2046, 2508, 4097, 5080, 5832, 6884, 7664, 288, 2063, 2895, 3645, 5104, 5901, 7162, 8267, 779, 1620, 3007, 3188, 4822, 6131, 7006, 8076, 1056, 1750, 2895, 3645, 5061, 5241, 6588, 7806, 684, 1750, 2960, 3982, 5165, 5968, 6972, 8260, 512, 1675, 2803, 4114, 5166, 5241, 6972, 7421, 1056, 1850, 2957, 3803, 4435, 6103, 6668, 8179, 308, 1791, 3095, 3945, 5038, 6205, 6515, 8267, 663, 1363, 3038, 3206, 4387, 5968, 6272, 7723, 980, 1585, 2365, 3961, 5104, 5761, 6771, 7949, 831, 2024, 2667, 3773, 4276, 5586, 7246, 7641, 610, 1797, 2636, 3258, 4808, 5836, 6850, 7313, 401, 2126, 2536, 4055, 4981, 6051, 6811, 8267, 663, 1503, 3003, 3955, 4877, 5663, 7114, 7905, 424, 1503, 2771, 3950, 5084, 5437, 6615, 7448, 663, 1621, 3038, 3752, 5135, 5493, 6980, 8261, 424, 1183, 2631, 3771, 4691, 5311, 7114, 7620, 614, 2050, 3075, 3595, 4881, 5677, 7221, 8019, 803, 2095, 3107, 3810, 4963, 6092, 7144, 8159, 277, 1843, 2348, 3263, 4809, 6118, 6646, 7810, 531, 2050, 3097, 3894, 4805, 5990, 6645, 7758, 1008, 1156, 2173, 3421, 4331, 5931, 6836, 8030, 1067, 1438, 2721, 4029, 4480, 5777, 6650, 7969, 1030, 2089, 2840, 3653, 4982, 5255, 6348, 7905, 1030, 1499, 2347, 3847, 4603, 5344, 6348, 7500, 610, 1170, 2866, 3777, 4234, 5694, 6555, 7540, 1025, 1334, 2791, 3999, 4279, 5550, 6605, 8085, 373, 1179, 3008, 3950, 5165, 5966, 6626, 7895, 390, 1833, 2465, 4027, 5060, 5498, 6967, 8242, 512, 1620, 3006, 4108, 4857, 6051, 6809, 8195, 132, 1467, 2340, 3803, 5153, 5883, 7160, 8260, 617, 1596, 2659, 3516, 5153, 5684, 6338, 7677, 256, 2002, 2163, 3592, 5138, 5514, 6788, 8060, 518, 2002, 2830, 3680, 4611, 5218, 6311, 7524, 228, 1345, 2316, 4125, 4536, 6189, 6895, 7664, 240, 2002, 2316, 3352, 5097, 5730, 6491, 7260, 240, 1814, 3139, 4006, 5151, 5515, 6291, 7677, 789, 1645, 2791, 3873, 4387, 5580, 6612, 7706, 419, 1862, 2941, 3798, 5179, 5792, 7152, 7715, 488, 2017, 2806, 3825, 5138, 6149, 6996, 8147, 488, 2017, 2781, 3914, 4624, 5901, 6338, 7766, 419, 2017, 2806, 4125, 4888, 5677, 7201, 7766, 899, 1961, 2282, 3955, 4555, 5515, 6901, 8016, 510, 1523, 2806, 4145, 5007, 5219, 6338, 7557, 335, 1349, 2989, 3584, 5084, 5687, 7222, 7752, 1101, 1349, 3126, 3630, 4829, 6086, 6267, 7561, 725, 1421, 2951, 3369, 4544, 5867, 7096, 7765, 504, 1499, 2951, 3639, 5169, 6157, 7172, 7263, 643, 1331, 2783, 4127, 5138, 6170, 6921, 7256, 1081, 2048, 2959, 3908, 4592, 5700, 6852, 7602, 955, 1860, 3008, 3645, 4743, 5788, 6668, 8069, 731, 1363, 2895, 3679, 4359, 5684, 6765, 7631, 643, 1717, 2391, 3649, 4983, 5892, 7149, 8080, 150, 1255, 2728, 4150, 5058, 5776, 6630, 8209, 1025, 1773, 2321, 3201, 4856, 6007, 6979, 7255, 643, 1773, 3098, 4150, 4925, 5694, 6852, 7887, 887, 1721, 2591, 3932, 5115, 5210, 6589, 7570, 150, 2036, 3080, 3999, 4225, 5700, 7218, 7582, 887, 1299, 3092, 3560, 4859, 5713, 6966, 7312, 887, 1786, 3092, 4128, 4763, 5704, 6966, 7846, 887, 1721, 3092, 3376, 4859, 6014, 6347, 7366, 887, 1721, 3092, 3376, 4324, 6220, 7173, 7706, 887, 1833, 3092, 4128, 4764, 5699, 6830, 8209, 887, 1129, 2975, 3222, 4982, 5699, 6910, 8097, 536, 1389, 2173, 4102, 4881, 6060, 7019, 7599, 462, 1299, 2896, 3251, 5148, 5745, 7085, 7527, 443, 1531, 2881, 3187, 5114, 5601, 6287, 8229, 826, 1969, 2751, 3356, 5031, 5435, 6287, 7975, 535, 1838, 2847, 3707, 4298, 5982, 6873, 8201, 826, 1833, 2261, 3605, 4589, 5555, 7043, 8201, 826, 1499, 3018, 3751, 5185, 5522, 6933, 7739, 826, 2053, 2655, 3413, 4195, 5209, 6348, 7863, 887, 2070, 2273, 3521, 4770, 5512, 6698, 7627, 104, 1669, 2254, 3943, 4690, 5245, 7237, 7765, 1025, 1269, 3061, 3442, 4437, 6145, 6388, 7383, 778, 1540, 2750, 3778, 4595, 6154, 6765, 7959, 850, 1640, 2429, 3668, 4933, 5905, 6569, 7298, 778, 1685, 3088, 3706, 5129, 5398, 6281, 7821, 831, 1778, 3033, 3402, 4334, 6024, 6540, 7992, 1025, 1399, 2716, 3363, 4343, 5899, 7168, 7508, 887, 1581, 2515, 4096, 4981, 5978, 6476, 7398, 641, 1116, 2925, 3233, 4363, 5943, 6898, 7962, 1084, 1227, 2613, 3338, 4993, 5706, 6484, 7378, 1090, 1821, 2717, 3498, 4319, 5759, 6478, 7941, 610, 1878, 2661, 3717, 4536, 5289, 6696, 7570, 913, 1897, 2944, 4031, 4337, 5494, 6639, 7959, 970, 1623, 2895, 4005, 4597, 6008, 7157, 8031, 938, 1199, 2156, 3870, 4881, 5573, 6914, 7957, 620, 1826, 3092, 4082, 4364, 5579, 6544, 7260, 1100, 1826, 3018, 3610, 4992, 5325, 6485, 8197, 1100, 1507, 2751, 4015, 4734, 5570, 6894, 8193, 326, 1472, 3001, 4015, 4420, 5277, 6828, 7673, 862, 1397, 2647, 3943, 4216, 5641, 6606, 7520, 491, 1798, 2514, 3999, 4750, 5775, 6625, 8197, 221, 1545, 2718, 3741, 4750, 5620, 6908, 7376, 862, 1942, 2655, 4039, 4739, 5745, 7137, 7910, 487, 1397, 2971, 3276, 4606, 5361, 6838, 8132, 234, 1289, 3018, 3792, 5122, 5594, 6803, 7955, 620, 1164, 3018, 3964, 4321, 5449, 6966, 7773, 643, 2024, 2801, 3732, 4298, 6135, 6740, 7607, 804, 1847, 2946, 3623, 5113, 6187, 6414, 7633, 818, 2091, 2729, 4166, 4630, 5613, 7120, 7476, 935, 1545, 3064, 3827, 4622, 6205, 6786, 7806, 818, 1847, 3021, 3893, 4888, 6129, 6752, 7806, 555, 1147, 3110, 3710, 4512, 5635, 7207, 8237, 859, 1695, 2792, 4171, 4549, 6163, 6589, 7717, 859, 1345, 2542, 4071, 5160, 5515, 6752, 7386, 617, 1623, 3147, 3838, 4673, 5548, 6604, 7559, 617, 1468, 2370, 4096, 5083, 5210, 6584, 7537, 617, 2127, 2370, 4149, 5135, 5586, 7103, 8126, 617, 1372, 2959, 3930, 4890, 5548, 6584, 7865, 617, 1147, 2941, 3930, 5079, 5296, 6677, 8130, 617, 2106, 2941, 4068, 5130, 6149, 7207, 8126, 617, 2127, 2370, 4068, 4870, 5809, 7069, 7485, 617, 1695, 2370, 3838, 4716, 6120, 7120, 8126, 617, 1147, 2251, 3555, 5159, 5660, 7103, 7716, 617, 1750, 3021, 3550, 4996, 5689, 6810, 7723, 617, 1695, 2370, 3873, 5160, 5241, 7226, 8262, 105, 1695, 2792, 3550, 4890, 6137, 7120, 8164, 859, 2034, 3000, 3550, 4267, 5276, 6677, 8261, 555, 1289, 3144, 3827, 5079, 5677, 6589, 8164, 555, 1147, 2970, 3391, 5166, 6081, 7006, 7865, 488, 1147, 2806, 4113, 5088, 5901, 6996, 8147, 488, 1622, 2914, 3893, 4624, 6139, 7120, 7766, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8223, 419, 1623, 3021, 4071, 5076, 5767, 7129, 8237, 715, 1881, 3033, 3764, 4877, 6041, 6709, 7904, 318, 1550, 2355, 3695, 5045, 5904, 7094, 8193, 184, 1942, 2692, 3191, 4635, 5972, 7043, 7442, 247, 1118, 2309, 3169, 5111, 6034, 7229, 7524, 862, 1140, 3116, 3307, 5047, 5875, 7165, 7365, 160, 1463, 2940, 4031, 4212, 5810, 6849, 7868, 1033, 1943, 2868, 3991, 4586, 5352, 7007, 7954, 1090, 1139, 2924, 3375, 5017, 5678, 7030, 7882, 826, 1971, 2800, 3292, 5069, 5477, 6286, 8106, 692, 1568, 2332, 3751, 4746, 5629, 7135, 8019, 569, 1112, 2261, 3870, 4995, 5276, 6720, 8028, 404, 1778, 2288, 4007, 4734, 6204, 7149, 8023, 850, 1347, 2222, 3363, 4604, 6074, 6655, 8163, 993, 1905, 3029, 3331, 5085, 6213, 6309, 7934, 923, 1552, 2502, 3562, 5100, 5613, 6741, 8266, 715, 1606, 2561, 3770, 4510, 6118, 6563, 7912, 225, 2111, 2500, 3566, 5100, 5787, 6497, 7865, 195, 1311, 3008, 3706, 5089, 5830, 7047, 7480, 195, 1570, 2904, 3217, 4859, 5734, 6708, 7948, 195, 1826, 2691, 3574, 4522, 5830, 7135, 7574, 518, 2061, 2987, 3746, 5077, 6189, 7152, 8262, 654, 1789, 2775, 3933, 4859, 5514, 6607, 8266, 228, 1345, 2473, 3332, 4996, 5594, 7152, 7781, 256, 2002, 2969, 3933, 5193, 6175, 7100, 7715, 789, 1289, 2221, 3171, 4764, 5438, 6515, 7732, 859, 1468, 2992, 4166, 5134, 6110, 7069, 7816, 859, 1648, 2669, 4166, 4611, 5515, 7043, 8080, 153, 1570, 2781, 4006, 5157, 5873, 6810, 7570, 541, 2065, 2669, 4085, 4429, 5515, 6565, 7776, 878, 1736, 2611, 3570, 4184, 6119, 6443, 7519, 579, 1227, 3026, 4151, 4351, 5873, 6668, 7815, 319, 1509, 3092, 3171, 4351, 5286, 6744, 7676, 1057, 1499, 2608, 3171, 5000, 5874, 6882, 7248, 876, 2009, 2848, 4060, 5049, 5960, 6251, 8110, 1019, 1630, 2848, 3465, 4534, 5459, 6800, 7617, 994, 1932, 2378, 3915, 4982, 5512, 6562, 7612, 326, 1636, 2506, 4073, 4592, 5435, 6827, 8129, 1080, 1593, 3029, 3869, 5148, 5992, 7175, 7298, 995, 1808, 3018, 3714, 4717, 5639, 6883, 8097, 938, 1550, 3018, 3309, 4321, 6167, 6987, 8087, 1003, 1942, 2661, 4007, 4596, 5481, 6813, 7270, 487, 1548, 2655, 3366, 4437, 5827, 6625, 7902, 545, 1972, 2487, 4103, 4636, 6077, 6603, 7574, 778, 1550, 2751, 3361, 4802, 5745, 6625, 8245, 1090, 1942, 2273, 3649, 4565, 5603, 6892, 7363, 826, 1550, 3010, 4037, 4663, 5507, 7229, 8213, 104, 1660, 2593, 4096, 4419, 5907, 6603, 7574, 778, 2028, 2610, 3502, 4494, 6002, 7244, 7297, 1090, 1275, 2440, 4152, 5142, 6222, 6809, 7557, 610, 1809, 2887, 3961, 4586, 5767, 6331, 7777, 1090, 1363, 3021, 3807, 4556, 6183, 6571, 8071, 356, 2067, 2239, 3929, 5169, 5978, 6605, 7547, 118, 1695, 2708, 3812, 4381, 5942, 6492, 7260, 757, 1695, 2156, 4021, 4255, 5963, 6683, 7957, 617, 1286, 2791, 4021, 4701, 5548, 6892, 8179, 859, 1286, 2781, 3564, 5134, 5219, 7168, 7677, 488, 1684, 2729, 3367, 4912, 5844, 7120, 8147, 860, 2017, 2806, 3803, 4583, 5892, 7201, 8260, 818, 2017, 3110, 3803, 4583, 6211, 7077, 8267, 488, 1528, 2806, 3893, 4624, 6139, 7201, 7766, 488, 1622, 2914, 3825, 4624, 6139, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1528, 2164, 3893, 4624, 5635, 7201, 8223, 488, 1528, 2914, 3893, 5038, 5241, 7124, 7766, 105, 2111, 2340, 4145, 5079, 5413, 6604, 7664, 225, 2111, 2565, 3662, 4267, 5795, 7000, 7723, 225, 1570, 2473, 3564, 5143, 5428, 6717, 7717, 225, 2002, 2473, 3838, 5079, 6034, 6575, 8076, 518, 2002, 3131, 3931, 5138, 5678, 6844, 8262, 225, 1736, 2791, 3595, 5053, 5385, 7069, 7537, 757, 1468, 2969, 3928, 4536, 5550, 6562, 7869, 223, 1586, 2675, 4092, 5157, 6135, 6465, 7488, 840, 1402, 2555, 3375, 4800, 5938, 6965, 7919, 1067, 1967, 2528, 3732, 4845, 6002, 6985, 7355, 643, 1682, 2511, 3728, 4788, 5982, 6430, 7571, 887, 1324, 2707, 4119, 4815, 5796, 7198, 7312, 104, 1660, 2977, 3998, 4953, 6174, 6644, 7686, 1071, 1567, 2755, 3819, 4550, 6137, 6649, 7424, 776, 1139, 2332, 3851, 4427, 5227, 6732, 7371, 940, 1978, 2396, 3819, 4781, 6164, 7147, 7570, 424, 1675, 2866, 3761, 5061, 5761, 7111, 7458, 113, 1873, 2598, 3767, 4720, 5279, 7023, 7365, 826, 1725, 2348, 3158, 4332, 5823, 6324, 8039, 895, 1886, 2432, 3434, 4799, 5768, 6670, 8012, 793, 1828, 2810, 4015, 5111, 5304, 6226, 8117, 1040, 1826, 2741, 3384, 4205, 6124, 6348, 7765, 113, 1828, 2232, 3561, 5019, 5934, 6802, 8032, 547, 1828, 2352, 3813, 4604, 5506, 7049, 7761, 938, 1897, 2536, 4073, 4374, 5648, 6918, 8070, 641, 1463, 3112, 4145, 4508, 5903, 6787, 7707, 1024, 1598, 2515, 3709, 4701, 6195, 7217, 7779, 504, 1633, 2975, 3908, 5085, 5474, 6265, 7680, 970, 1858, 2396, 3183, 4713, 6001, 6361, 7791, 970, 1881, 2975, 3475, 5129, 6051, 7168, 7715, 1090, 1146, 2750, 4151, 4267, 5357, 7019, 7641, 424, 1463, 2771, 3361, 4343, 5899, 7207, 8077, 663, 1463, 2980, 3756, 4901, 5978, 6413, 7386, 750, 2095, 2794, 3655, 4536, 5911, 6719, 7410, 678, 1455, 2939, 3771, 5095, 6195, 6871, 7717, 678, 1141, 2778, 3962, 4595, 5765, 7047, 7720, 940, 1139, 2924, 4145, 4374, 6146, 6646, 7260, 1037, 2072, 2542, 3498, 5165, 5536, 7129, 7485, 913, 1601, 2843, 4115, 4734, 5984, 6704, 7262, 668, 1397, 2990, 4168, 4543, 6001, 7133, 7930, 632, 1286, 2725, 3485, 4571, 5497, 6545, 7835, 918, 1942, 2794, 3356, 5142, 6213, 6531, 7933, 807, 2034, 2456, 3764, 4993, 5810, 6442, 8073, 970, 1706, 2492, 3741, 4953, 5481, 6719, 7799, 1081, 1455, 2426, 3430, 5111, 5300, 7160, 7384, 663, 1504, 2440, 3398, 4728, 5684, 6625, 7598, 831, 1747, 2436, 4027, 5026, 6175, 7244, 7918, 1035, 1831, 2470, 3399, 4536, 5765, 6254, 7656, 1090, 1992, 2946, 3229, 4392, 6120, 7033, 7887, 778, 1935, 2135, 3543, 5169, 5641, 7207, 7962, 1090, 1110, 2582, 3975, 4622, 5363, 7023, 8079, 610, 1110, 3064, 4145, 5095, 5981, 7132, 7641, 405, 1992, 3026, 3900, 5120, 6195, 7230, 7485, 543, 2068, 2156, 4026, 4213, 5344, 6286, 8061, 228, 1510, 2360, 3674, 5124, 5276, 6717, 7919, 654, 2111, 2880, 4166, 4983, 5556, 6965, 7664, 240, 2002, 2725, 4083, 4555, 6187, 7160, 8214, 240, 2002, 2944, 3770, 4638, 5296, 6749, 8126, 617, 2118, 2918, 3751, 5079, 5981, 6962, 7717, 555, 1684, 2560, 4145, 5135, 5767, 7090, 7717, 186, 2111, 2833, 3914, 5079, 5677, 6584, 7476, 860, 2017, 2806, 3803, 4583, 6139, 7124, 7303, 860, 1528, 2806, 3825, 4624, 6139, 7226, 8147, 488, 2017, 2806, 3893, 4624, 6139, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 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, 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, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]