Datasets:

JamesXanda

/

barry-dataset-tokenized

like 0

[ 1, 14, 54, 64, 35, 5, 53, 48, 5, 31, 45, 64, 5, 45, 54, 64, 66, 16, 54, 66, 5, 5, 5, 76, 44, 67, 23, 66, 5, 62, 63, 16, 75, 34, 63, 16, 51, 39, 65, 16, 54, 5, 5, 3, 948, 2098, 2271, 3390, 4316, 6068, 6690, 7678, 313, 1778, 2198, 3245, 4321, 5758, 6237, 7574, 918, 1938, 3047, 3835, 4810, 5745, 6997, 7987, 221, 1278, 2832, 3482, 4395, 5495, 7057, 7997, 862, 1438, 2471, 3329, 4391, 5447, 6293, 7496, 441, 2100, 2832, 3981, 4187, 5223, 6458, 7973, 179, 1450, 3011, 4128, 4526, 5797, 7186, 7611, 992, 1904, 3097, 3495, 4933, 5560, 6313, 7597, 1084, 1906, 2730, 3757, 4621, 6015, 7058, 7872, 1064, 1871, 2986, 3261, 4456, 6084, 7160, 7920, 767, 1427, 2486, 3955, 4918, 5608, 7097, 7927, 391, 2056, 3080, 3955, 4513, 5591, 7090, 7643, 391, 2056, 2741, 3334, 4536, 5832, 7090, 7677, 391, 1637, 2486, 3355, 4700, 5438, 6898, 7949, 304, 1705, 3006, 3533, 4543, 5493, 6667, 7602, 518, 1773, 3042, 3978, 4682, 5318, 7079, 7303, 654, 1560, 2554, 3670, 4183, 5863, 7024, 8069, 654, 1826, 2383, 3226, 4651, 6110, 6515, 7508, 228, 1525, 2833, 3226, 4459, 5761, 7129, 7677, 228, 1525, 2833, 3245, 4555, 5624, 7152, 7479, 225, 1345, 3028, 3930, 5138, 6195, 7152, 7806, 568, 1440, 2941, 3723, 5088, 5935, 7232, 8130, 757, 1426, 2775, 3595, 4813, 5778, 6273, 7908, 1003, 1496, 2924, 4097, 4813, 5715, 7048, 7752, 556, 1496, 2891, 3672, 4946, 5276, 6762, 7510, 1019, 1333, 3055, 3446, 4790, 5926, 7158, 8048, 994, 1509, 2994, 3375, 4434, 5863, 6488, 7669, 1064, 1463, 2387, 3365, 5000, 5606, 6648, 7296, 767, 1881, 2661, 3511, 4609, 5555, 6579, 7811, 408, 1141, 2607, 3769, 4565, 6016, 7098, 7966, 335, 1322, 2440, 3773, 5026, 6135, 6736, 7602, 685, 1141, 3019, 3873, 4774, 5838, 7098, 7664, 767, 1446, 2440, 3305, 5126, 5573, 6306, 7976, 1080, 1283, 3020, 3372, 4669, 5565, 6723, 7426, 1036, 1806, 2656, 3496, 4298, 5492, 6974, 7815, 862, 1550, 2292, 3986, 5107, 5831, 6914, 7842, 886, 1669, 3020, 3704, 5043, 6135, 6265, 7704, 582, 1545, 2867, 3860, 4298, 5431, 6908, 8232, 986, 2067, 2867, 3355, 4804, 5795, 7229, 8058, 103, 1190, 2867, 4082, 4539, 5565, 6225, 7695, 986, 1755, 2867, 3819, 4795, 5792, 6579, 8132, 913, 1674, 2607, 3955, 4267, 6135, 6421, 7594, 913, 1815, 2841, 3732, 4946, 5485, 6528, 7429, 504, 2095, 2422, 4096, 5097, 5308, 6863, 8188, 643, 2068, 2833, 3426, 4993, 5677, 7230, 7641, 914, 1956, 2718, 3886, 5164, 5624, 7218, 7664, 684, 2046, 2429, 4011, 5007, 5515, 6979, 8126, 684, 1804, 3064, 4018, 4822, 5219, 6996, 8066, 211, 1750, 3128, 3886, 4859, 5210, 6709, 8066, 211, 1804, 3135, 3983, 4630, 6175, 6876, 8266, 160, 1534, 2340, 3516, 4181, 6146, 7237, 7768, 844, 1276, 2282, 4094, 4224, 5606, 7079, 7641, 737, 1717, 2871, 3978, 4755, 5725, 6898, 7790, 862, 1420, 2271, 3274, 4921, 5588, 6608, 7880, 1019, 1906, 2761, 3426, 4201, 5313, 7114, 7468, 441, 1450, 3040, 4027, 4846, 5662, 7024, 7717, 441, 1970, 2872, 3364, 5077, 6031, 7182, 8025, 880, 1842, 2905, 3577, 5167, 5781, 7024, 7536, 902, 1564, 2654, 4063, 4998, 6058, 6713, 7675, 987, 1737, 3141, 3832, 4228, 6125, 7181, 7615, 317, 1711, 3141, 3371, 5179, 5865, 6465, 8205, 518, 1384, 2683, 4166, 5073, 6065, 6746, 7856, 127, 1606, 2858, 4150, 4191, 6110, 7114, 8261, 654, 1881, 3147, 3645, 4859, 5556, 6376, 7911, 518, 1756, 2957, 3982, 5138, 5677, 7012, 7717, 228, 1147, 2792, 3798, 5145, 5795, 7232, 7473, 228, 1147, 2316, 4138, 4993, 5767, 7090, 7509, 105, 2127, 2608, 4103, 4398, 5767, 6584, 7806, 859, 1147, 3064, 3851, 4423, 5767, 6996, 7677, 488, 1961, 2806, 3825, 4912, 5719, 7120, 8261, 915, 1622, 2858, 3803, 4877, 5296, 6612, 7715, 488, 1622, 3065, 3825, 5138, 6149, 6589, 8147, 488, 1622, 3117, 3367, 5138, 6139, 6794, 8147, 488, 1528, 3065, 3825, 4624, 6139, 6612, 8196, 915, 2017, 2164, 3825, 4798, 5677, 6794, 8196, 488, 1648, 3065, 4071, 4704, 5635, 7077, 8223, 419, 2017, 2164, 3914, 4798, 6081, 6338, 8147, 839, 1706, 2872, 4035, 4359, 5310, 6847, 7588, 801, 1905, 2587, 3304, 4364, 5257, 6798, 8105, 848, 1600, 2740, 3991, 4969, 5257, 7204, 7495, 735, 1608, 2142, 3478, 4648, 5541, 7160, 8169, 676, 1652, 2927, 3276, 4707, 5998, 7212, 7658, 392, 1886, 3097, 3669, 4941, 6123, 6780, 7274, 204, 1301, 2693, 3695, 4417, 5228, 6744, 7687, 685, 2091, 2693, 3840, 4791, 5424, 6295, 7831, 1024, 2008, 2887, 3605, 4229, 5286, 7112, 7537, 643, 1773, 2741, 3264, 4334, 5761, 6954, 7821, 1056, 1850, 2708, 3771, 4536, 5958, 7004, 7555, 654, 1635, 2287, 3456, 4792, 5520, 6311, 7509, 654, 1597, 2156, 4125, 4727, 6149, 7017, 7773, 518, 1554, 2904, 3955, 4630, 5968, 6613, 7563, 518, 1756, 2554, 4067, 5138, 5586, 6810, 8179, 518, 2111, 3064, 3394, 4630, 5677, 6677, 7949, 240, 1750, 2820, 3407, 4387, 5514, 6966, 8061, 240, 1750, 2560, 3550, 5061, 6175, 6612, 7716, 419, 2017, 2164, 4113, 4704, 5677, 6291, 7677, 543, 1851, 3021, 3550, 4844, 6085, 6338, 8126, 240, 1304, 2970, 3595, 4630, 5635, 6604, 8083, 756, 1889, 3097, 3956, 5079, 5223, 7024, 7691, 149, 1951, 2780, 4138, 4489, 5783, 6328, 8043, 381, 2090, 2349, 3824, 4848, 5950, 6334, 8265, 381, 1331, 2693, 3180, 4848, 6088, 6947, 7793, 862, 2024, 3073, 4128, 5146, 5224, 6924, 7336, 1011, 2085, 2173, 4096, 5101, 5894, 7197, 7498, 401, 1705, 2710, 3540, 4619, 5687, 6982, 8236, 304, 1175, 2710, 3660, 4536, 5228, 6579, 8237, 571, 1562, 2980, 3645, 5169, 5927, 6830, 7481, 1097, 1869, 2838, 3516, 4993, 5550, 7168, 7336, 568, 2098, 2970, 3660, 4785, 5408, 7149, 7648, 183, 1851, 2554, 4128, 4913, 6086, 7100, 8267, 552, 1684, 3007, 4166, 4617, 5963, 6889, 8128, 186, 1736, 2959, 4071, 4872, 6211, 7207, 7557, 488, 2073, 2806, 3188, 4704, 5219, 7084, 7948, 488, 1804, 3117, 3825, 4630, 5832, 6972, 8196, 818, 1218, 2806, 4174, 4980, 6139, 6979, 8223, 1099, 1705, 2164, 4108, 4980, 5241, 7006, 7766, 956, 1869, 3065, 4018, 5038, 6186, 6786, 8237, 1033, 1933, 2965, 4093, 4597, 6063, 7129, 7494, 1067, 1322, 2205, 3631, 5030, 5405, 6879, 7819, 526, 1838, 3050, 3249, 4776, 5843, 6626, 8165, 664, 2009, 3091, 3537, 4457, 6135, 7245, 8049, 884, 1252, 2846, 4154, 4402, 5325, 6853, 7393, 1056, 1827, 2207, 3662, 4278, 5643, 7119, 7867, 308, 1816, 3053, 4162, 5020, 5695, 6589, 8069, 863, 1889, 2709, 3427, 4215, 5543, 6262, 7965, 1057, 1672, 2542, 3543, 4404, 5638, 6713, 7795, 83, 2036, 2282, 3259, 4290, 5379, 6651, 7843, 835, 2036, 2282, 3926, 4955, 6135, 6838, 8038, 835, 1296, 2282, 3214, 5176, 5766, 6838, 7760, 835, 1296, 2763, 3411, 4621, 5867, 6838, 7722, 835, 1402, 2676, 4007, 4621, 5691, 6974, 8169, 840, 1828, 2390, 4024, 4299, 5264, 7053, 7541, 1067, 1828, 2272, 3460, 5140, 5732, 7072, 7502, 668, 1407, 2785, 3416, 4401, 5498, 7140, 7652, 1067, 1916, 3019, 4054, 4529, 5602, 6819, 7979, 1064, 1912, 2171, 4041, 4387, 5654, 6466, 7892, 304, 1562, 2308, 3662, 4191, 5630, 6980, 7549, 935, 1407, 2834, 3866, 4513, 5540, 6742, 7311, 935, 1175, 2984, 3680, 4822, 6146, 6588, 8260, 186, 2068, 2991, 3932, 4888, 5687, 7006, 8107, 935, 2073, 3095, 3886, 4822, 6129, 7077, 7806, 186, 2017, 3109, 3645, 4630, 5219, 6988, 8196, 935, 2017, 3095, 3825, 4861, 5635, 7226, 8195, 186, 2017, 3109, 3825, 5058, 6014, 7124, 7876, 914, 2073, 2164, 3825, 5058, 5385, 7084, 8185, 707, 1817, 3149, 4064, 4423, 5514, 6599, 8114, 1047, 1736, 2163, 3955, 5145, 5687, 6239, 7563, 840, 1522, 2244, 3782, 4993, 5263, 7053, 7587, 498, 1758, 2310, 3434, 4269, 5604, 6842, 8020, 876, 1886, 2564, 3316, 4672, 5606, 7028, 7276, 613, 2059, 2677, 3855, 4214, 5950, 6819, 7881, 899, 1206, 2328, 3671, 5144, 5493, 7037, 8252, 256, 1797, 2754, 3990, 5080, 5755, 6900, 7494, 715, 1233, 2473, 3364, 4982, 6204, 6935, 7965, 901, 1797, 2754, 4026, 5011, 5825, 6613, 7999, 886, 1804, 2398, 3376, 4435, 6117, 7205, 7826, 363, 1785, 2439, 4128, 4677, 5972, 6501, 8134, 900, 2102, 2282, 4078, 4963, 5257, 6373, 7522, 349, 2024, 2882, 3356, 4745, 5486, 6965, 7516, 900, 2102, 2626, 3259, 4539, 5683, 7227, 8254, 774, 1414, 2282, 3514, 4972, 6052, 6538, 7527, 368, 2102, 2282, 3533, 4755, 6015, 7183, 7451, 162, 2013, 3073, 3669, 4503, 5950, 6914, 7535, 655, 2091, 2188, 3530, 4565, 5367, 7236, 7622, 835, 1778, 2602, 3441, 5168, 5402, 6932, 8009, 339, 1504, 2494, 3792, 5116, 5466, 6529, 8150, 531, 1736, 2402, 3578, 4311, 5645, 6923, 8234, 1080, 1736, 3036, 3585, 4333, 5409, 7230, 7522, 862, 1454, 2186, 3327, 4765, 5539, 6485, 7997, 862, 1758, 2705, 3672, 4450, 5794, 6838, 8161, 545, 2072, 2602, 3261, 5124, 5824, 6267, 7721, 487, 1280, 2392, 3928, 4644, 5273, 7081, 7395, 304, 1167, 2492, 3662, 4276, 5955, 6762, 8054, 935, 1804, 2715, 4096, 4470, 5693, 6820, 7657, 935, 2065, 2926, 3776, 4867, 5340, 7207, 7256, 859, 1454, 2746, 3990, 5058, 6205, 6566, 8267, 484, 2000, 2899, 3955, 4888, 5832, 7006, 7764, 221, 1752, 3079, 3991, 4620, 6218, 7091, 8057, 568, 1635, 2370, 3994, 4855, 5918, 6517, 7672, 105, 2008, 2971, 3470, 4191, 5378, 6348, 7856, 716, 2051, 2346, 3771, 5150, 5602, 6284, 8114, 737, 1164, 2260, 3904, 4755, 5685, 6383, 7405, 1004, 1561, 3029, 3616, 4605, 5656, 6777, 8051, 557, 1550, 2241, 4007, 4351, 5339, 7044, 8039, 920, 1550, 2901, 3750, 4321, 5863, 6853, 7474, 399, 1550, 2384, 3421, 4966, 5759, 6813, 7510, 993, 1550, 2492, 3714, 4321, 5376, 7093, 7932, 993, 1550, 2401, 3329, 4945, 5803, 6313, 7756, 1057, 1550, 2401, 3329, 4788, 5643, 6903, 7542, 955, 1889, 2230, 3904, 4589, 5746, 7232, 8259, 757, 1540, 2421, 3550, 4276, 5981, 6734, 7732, 568, 1958, 2875, 3827, 4682, 5519, 6955, 7869, 334, 1286, 2905, 3858, 4615, 5840, 7024, 8241, 334, 1286, 2904, 4089, 5122, 6084, 6909, 7743, 568, 1313, 2138, 3900, 4638, 5614, 6827, 7383, 568, 2013, 2287, 4026, 4622, 5767, 6632, 8214, 568, 1954, 3040, 4094, 5115, 5963, 6326, 8080, 757, 1858, 3144, 3817, 4437, 5719, 7082, 7549, 757, 1858, 2287, 3931, 4539, 5550, 7024, 7907, 859, 2111, 2454, 4161, 4580, 5993, 7103, 7831, 424, 1850, 2775, 3961, 4287, 5814, 6849, 7795, 271, 1581, 2960, 3955, 5134, 5704, 6383, 8107, 249, 1771, 2349, 3484, 4364, 5970, 6705, 7616, 1029, 1374, 2349, 3956, 4665, 5568, 7066, 7494, 887, 2091, 2429, 3323, 5145, 5705, 6932, 7625, 1011, 2102, 3020, 3793, 4981, 5677, 7198, 7466, 685, 1669, 2227, 4005, 4440, 5861, 6376, 7973, 547, 1637, 2737, 3475, 4993, 5756, 7000, 7899, 335, 1244, 2140, 4010, 4485, 5700, 6333, 7902, 731, 1545, 2163, 3771, 4436, 5591, 6991, 7822, 391, 1189, 2375, 3310, 5183, 5500, 6254, 8103, 767, 1886, 2866, 3991, 4372, 5413, 6859, 7919, 1003, 1463, 2139, 3271, 5083, 5564, 6362, 7678, 678, 1776, 2959, 3540, 4554, 6056, 7098, 8195, 804, 1794, 3043, 4085, 4387, 5527, 7132, 8266, 915, 1945, 3007, 3990, 4870, 6051, 6972, 7876, 488, 1869, 3043, 3990, 4822, 6103, 6972, 7949, 818, 1847, 2957, 3886, 4870, 6182, 6709, 8179, 859, 1648, 3128, 3866, 5159, 5832, 7132, 7806, 859, 1304, 2833, 3188, 4512, 6149, 6338, 7838, 617, 1695, 2659, 3550, 4681, 5534, 7201, 8185, 617, 1345, 2356, 3680, 4287, 5767, 6840, 8266, 617, 1345, 2340, 3550, 5160, 5901, 6604, 8261, 617, 2002, 2729, 3374, 4622, 5296, 6688, 7717, 617, 2127, 2608, 3680, 4859, 5385, 6688, 7831, 105, 2002, 2941, 3914, 4387, 5723, 6604, 7806, 617, 2013, 2941, 4071, 5079, 6137, 7132, 7876, 617, 1750, 2833, 4068, 4681, 5385, 6677, 8261, 4, 2 ]

[ 1, 20, 52, 5, 31, 45, 64, 5, 5, 5, 26, 5, 64, 33, 30, 5, 5, 3, 955, 1873, 2445, 3423, 4555, 5660, 6932, 7840, 424, 1803, 3146, 4146, 4911, 5650, 6546, 7452, 850, 1693, 2636, 3883, 4910, 5346, 6517, 8269, 235, 1423, 2399, 3703, 5026, 5948, 6530, 8046, 104, 1798, 2314, 3434, 4589, 5952, 6649, 8134, 1035, 1244, 2218, 3478, 4305, 5414, 6839, 7959, 494, 1255, 2400, 3991, 4408, 5414, 7135, 7469, 277, 1757, 2653, 3894, 4544, 6104, 6855, 8092, 1016, 1950, 2636, 3568, 4209, 5449, 6608, 8189, 864, 1104, 2239, 3735, 4911, 6172, 6674, 7932, 1008, 1156, 2455, 3678, 4833, 5447, 6645, 8009, 614, 1669, 2455, 4146, 4972, 5621, 6272, 7737, 547, 1693, 2721, 3479, 5198, 5441, 7071, 7279, 938, 1469, 2481, 3295, 4636, 5361, 6611, 7478, 1011, 1469, 2627, 3695, 4911, 5536, 7166, 7349, 980, 1776, 2941, 3975, 4181, 5403, 6677, 8245, 424, 1885, 2651, 3181, 4422, 5296, 7091, 7658, 440, 2063, 2818, 3826, 4983, 5345, 7010, 7597, 709, 2069, 2732, 3977, 4430, 5687, 7220, 7716, 440, 1238, 2340, 4166, 5011, 5372, 6671, 8080, 367, 1324, 2652, 3904, 4780, 5465, 6646, 8117, 448, 1724, 2720, 3649, 5167, 5665, 6859, 7777, 728, 1826, 2725, 4043, 4690, 6169, 6614, 8079, 1036, 2118, 2633, 3865, 4233, 5308, 7045, 7402, 862, 2007, 3097, 3452, 4326, 5574, 6567, 7665, 545, 2091, 3097, 3215, 4269, 6009, 6722, 8012, 1088, 1761, 2761, 3913, 4736, 5490, 6470, 7463, 942, 1471, 2940, 4147, 4381, 5429, 6896, 7398, 317, 1234, 2319, 4025, 5151, 6025, 6914, 7635, 225, 1851, 3046, 3232, 5052, 5613, 6419, 7657, 654, 1345, 2316, 3646, 4800, 5218, 6744, 7724, 654, 1750, 2316, 3394, 4836, 5767, 6895, 7777, 518, 2024, 3097, 3732, 4687, 5960, 7157, 7657, 518, 1979, 3062, 3440, 4555, 5643, 6768, 7776, 240, 1471, 2946, 3879, 4764, 6077, 7237, 7794, 240, 2111, 2454, 3440, 4985, 6149, 6717, 7781, 240, 1304, 3028, 3930, 4590, 5372, 6272, 7297, 240, 1304, 2221, 3359, 5159, 5493, 6584, 7641, 240, 2002, 2221, 4168, 5138, 5386, 7091, 7476, 105, 1593, 2469, 3645, 4985, 5719, 7090, 7563, 552, 1623, 2771, 3848, 4912, 5216, 7132, 8227, 1098, 1605, 2486, 3564, 4678, 5947, 6603, 7522, 835, 1509, 2972, 4147, 4745, 5787, 6491, 7819, 1080, 1183, 2481, 3431, 4991, 5535, 6971, 8065, 737, 1503, 2873, 4123, 4745, 6053, 6932, 8113, 884, 1356, 3040, 3197, 4866, 6037, 6436, 7729, 249, 1826, 2172, 3925, 4401, 6118, 6724, 8190, 884, 1627, 3040, 3975, 5043, 5569, 6948, 7564, 326, 1376, 2869, 4007, 4254, 5418, 6998, 7894, 492, 1376, 2147, 3651, 4718, 6105, 6651, 8151, 113, 1695, 2563, 3793, 5107, 5836, 6859, 8259, 952, 1609, 2621, 3709, 5150, 5953, 6677, 7852, 103, 2107, 2659, 3710, 4539, 5600, 7025, 7768, 228, 1896, 2432, 3662, 4667, 5325, 6830, 7929, 654, 1281, 2904, 4089, 5011, 6086, 6967, 8132, 654, 1140, 2833, 3359, 4359, 5844, 7103, 7838, 654, 2097, 2830, 3811, 4467, 5586, 6466, 7941, 240, 1606, 2473, 3277, 5138, 5436, 7002, 7557, 518, 1570, 2860, 3746, 4412, 5792, 6895, 7664, 654, 2106, 2468, 3277, 4536, 5802, 6486, 8261, 654, 1286, 2468, 3564, 4890, 5350, 6958, 8237, 654, 1789, 2717, 3646, 4877, 5296, 6604, 7664, 228, 2017, 2335, 3570, 4512, 5493, 6909, 7555, 105, 1684, 3135, 3595, 5088, 5296, 7232, 8130, 731, 1116, 2798, 3277, 5169, 6077, 7133, 8260, 319, 1915, 2312, 3517, 5138, 5498, 6790, 7649, 1001, 1489, 3097, 3922, 4919, 6128, 6978, 7545, 459, 1827, 2751, 3740, 4876, 5455, 7149, 7527, 113, 1126, 2951, 3989, 4496, 6170, 6611, 7725, 662, 1397, 2332, 3819, 4473, 5656, 7049, 7718, 807, 1832, 2785, 3331, 4539, 5270, 6913, 7525, 992, 1494, 2725, 3329, 4184, 5745, 7108, 7878, 992, 1494, 2361, 3329, 5151, 5713, 7056, 8239, 981, 1695, 3106, 3600, 4539, 5903, 6631, 7675, 545, 1564, 3036, 3546, 4755, 5875, 7035, 8211, 678, 1333, 2239, 3279, 5151, 6112, 6932, 7846, 684, 2000, 2856, 3721, 4435, 5974, 6750, 7260, 684, 1564, 2746, 3637, 5080, 5241, 6830, 8237, 308, 1913, 2924, 4011, 4387, 5901, 7239, 7949, 308, 1847, 2924, 4174, 5166, 5832, 6734, 7557, 955, 1777, 2970, 4150, 5038, 5378, 6709, 7602, 308, 1773, 3098, 4071, 4896, 6103, 7111, 7949, 308, 1467, 2803, 3540, 5145, 5901, 6988, 8260, 512, 2046, 2324, 3803, 5080, 6146, 6709, 7876, 4, 2 ]

[ 1, 16, 54, 30, 5, 76, 33, 54, 5, 43, 45, 78, 5, 41, 11, 31, 35, 5, 5, 3, 797, 2017, 3117, 3367, 4704, 6211, 6752, 8147, 488, 1648, 3117, 3367, 4870, 6139, 6794, 8196, 488, 1622, 2164, 4018, 4624, 6139, 7124, 7766, 206, 2041, 2947, 4170, 5159, 5612, 6996, 7723, 419, 2041, 2949, 4145, 4890, 5241, 6810, 7715, 789, 2106, 2833, 4145, 5138, 6062, 6604, 7782, 256, 1349, 3043, 3332, 4954, 5548, 7103, 8080, 318, 1112, 2239, 4037, 4215, 5810, 7188, 8100, 247, 1349, 2453, 3850, 4575, 5535, 6592, 7537, 424, 1120, 2783, 3961, 5088, 6131, 6240, 7303, 1025, 1263, 2902, 4043, 4954, 5360, 7090, 8236, 831, 1363, 2980, 3870, 4822, 5892, 6515, 8083, 424, 2088, 2843, 3961, 5022, 5436, 7019, 7962, 308, 1682, 2895, 3909, 4782, 5832, 6786, 8147, 779, 1668, 3135, 3671, 4551, 5968, 7084, 8260, 779, 1467, 2991, 3226, 4980, 6001, 6979, 8147, 390, 1620, 2254, 3990, 4555, 6205, 7084, 8185, 761, 1199, 2955, 3400, 4716, 5253, 6373, 7745, 665, 1653, 2130, 3581, 4206, 5578, 7144, 8173, 212, 1116, 2848, 3660, 5123, 6074, 6616, 7722, 221, 1636, 2378, 4015, 4708, 5704, 6881, 7517, 1043, 1695, 2156, 4137, 4244, 5602, 7043, 7597, 487, 1182, 3116, 3171, 4334, 5836, 7223, 8040, 1035, 1771, 2439, 3601, 5051, 5344, 7133, 7501, 1035, 1991, 3092, 3601, 4755, 5212, 6371, 8100, 752, 1930, 3092, 4150, 4426, 6125, 6251, 8172, 761, 1564, 3149, 3233, 5018, 5814, 6654, 7666, 398, 1633, 2905, 3576, 4274, 5787, 6414, 7318, 487, 2001, 2951, 3601, 4623, 5878, 6615, 7815, 1023, 1550, 3029, 3272, 4636, 5711, 6426, 7384, 363, 1692, 3052, 3214, 4238, 5867, 7078, 8240, 545, 1691, 2751, 3819, 4642, 5971, 6991, 7861, 761, 1543, 2830, 3329, 4941, 6145, 6844, 8021, 613, 1554, 2665, 3767, 4318, 5838, 6731, 7442, 518, 1749, 2248, 4094, 5056, 6178, 6861, 7303, 518, 1439, 2878, 3900, 4776, 5705, 7208, 8076, 518, 1524, 3139, 3933, 4985, 5767, 7120, 7312, 518, 1961, 2858, 4037, 5018, 6050, 7239, 7477, 654, 1490, 2918, 3914, 4916, 6137, 7084, 7557, 568, 2068, 2642, 3407, 4435, 5220, 6979, 8236, 171, 1847, 2858, 4113, 5165, 5548, 7091, 8118, 617, 1707, 2754, 3374, 4844, 6146, 6740, 7907, 256, 2097, 2991, 3645, 4870, 6195, 6671, 7876, 789, 1856, 3147, 3681, 4912, 5892, 6671, 7509, 256, 2030, 2941, 4006, 4877, 5493, 7239, 8130, 878, 1525, 2838, 3932, 4387, 5296, 7058, 7303, 1091, 1797, 2998, 3994, 4983, 5447, 7049, 7303, 948, 1697, 3090, 3983, 4426, 5417, 7049, 7761, 800, 2035, 3090, 3650, 4885, 6040, 6477, 7721, 640, 1582, 2956, 4140, 4891, 5722, 6240, 8035, 179, 1983, 2423, 3486, 4270, 5615, 6502, 7290, 1089, 1982, 2286, 3463, 4410, 5700, 7088, 7604, 472, 2050, 2380, 3263, 4678, 5585, 7138, 7793, 803, 1503, 2747, 4015, 4572, 5288, 6735, 7746, 893, 1823, 2451, 4037, 4678, 5528, 6370, 7963, 179, 1559, 2495, 3729, 4678, 5886, 6768, 8031, 1070, 1982, 2286, 3382, 4205, 5250, 6348, 8061, 966, 2050, 2593, 3329, 5005, 6180, 6766, 7763, 803, 2050, 2495, 3313, 4783, 6135, 6735, 7873, 179, 1168, 2286, 3408, 4858, 6135, 6637, 7821, 472, 1183, 2877, 3382, 4499, 5644, 7135, 7983, 462, 1301, 2234, 4119, 4678, 5867, 6659, 7905, 665, 1183, 2239, 3988, 4738, 5615, 6828, 7565, 1025, 1682, 2951, 3421, 4702, 5964, 7032, 7363, 1090, 1682, 2866, 4044, 4772, 5313, 6743, 7451, 1090, 1682, 2586, 4011, 5138, 5772, 6852, 7965, 981, 1407, 2725, 3442, 4442, 6007, 6470, 7594, 234, 1463, 3080, 3356, 4690, 6218, 6476, 7470, 892, 1531, 2901, 3668, 4678, 5510, 6974, 7986, 803, 1828, 2859, 3565, 5031, 5605, 6629, 7752, 1034, 1830, 2693, 3245, 4800, 5298, 6697, 7581, 1100, 1385, 2678, 3245, 5031, 5257, 6883, 7927, 1045, 1454, 2271, 3674, 4493, 6135, 7020, 8050, 611, 1164, 2705, 3623, 5031, 5523, 6823, 7888, 487, 1363, 2210, 3623, 4602, 5603, 6383, 7311, 512, 2000, 2893, 3593, 5120, 5713, 6339, 7830, 308, 1149, 2754, 3891, 4530, 6014, 6605, 8260, 984, 2068, 2746, 3914, 4792, 5899, 6822, 8107, 510, 1467, 2834, 3866, 5088, 5385, 6752, 8196, 427, 1110, 3007, 3226, 5165, 5385, 6884, 8185, 1099, 1475, 2340, 3645, 4792, 5883, 7124, 8076, 935, 1869, 2730, 3893, 4583, 5635, 6972, 7720, 221, 1452, 2834, 3603, 5050, 6182, 7178, 7915, 4, 2 ]

[ 1, 31, 16, 5, 17, 31, 35, 5, 5, 5, 42, 14, 64, 62, 66, 5, 62, 14, 66, 5, 5, 3, 160, 1596, 3080, 3866, 4216, 5923, 7043, 7660, 390, 1139, 2356, 3229, 4580, 5656, 6677, 8227, 955, 1206, 2542, 4168, 5183, 6192, 6224, 7864, 326, 1597, 3101, 3555, 4881, 5526, 6910, 7852, 761, 1570, 2750, 3225, 4966, 5695, 6347, 7914, 1023, 1287, 2847, 3417, 4756, 5552, 6687, 7275, 582, 1834, 3035, 3245, 4268, 5200, 6651, 7879, 103, 1831, 2710, 3329, 4278, 5672, 7202, 7365, 103, 1206, 2710, 3540, 4873, 5560, 7241, 7997, 304, 1948, 2946, 4006, 4367, 5665, 6432, 7983, 986, 2114, 2661, 3720, 5067, 5599, 6383, 7985, 610, 1782, 2492, 3543, 4224, 5745, 7030, 7313, 610, 1905, 3116, 4162, 4205, 6006, 6526, 7481, 487, 1924, 2453, 3613, 5197, 6154, 6998, 8173, 884, 1472, 2691, 3532, 4839, 5471, 6574, 7693, 730, 1543, 2332, 3586, 4921, 5991, 6763, 8269, 1041, 1503, 2607, 3429, 4601, 5696, 6892, 7929, 1006, 1503, 2290, 3418, 4933, 5579, 7082, 7533, 508, 1385, 2869, 4103, 4905, 5513, 7125, 8035, 856, 1183, 2570, 3672, 4482, 5528, 6798, 8124, 1006, 1183, 3011, 3432, 5135, 6221, 6258, 8008, 966, 1183, 2808, 3359, 4686, 5670, 6421, 8065, 1064, 2101, 2635, 3844, 4246, 6004, 6758, 7545, 1064, 1183, 2564, 3225, 5198, 5797, 7170, 7633, 684, 1304, 3021, 3189, 4437, 5315, 6603, 8197, 440, 1869, 2468, 3316, 4856, 5717, 6589, 7919, 440, 1597, 3060, 3555, 4447, 5981, 7109, 7492, 1059, 1452, 2254, 3424, 4877, 5203, 6893, 7962, 848, 1183, 2141, 3310, 4911, 6078, 6847, 8027, 533, 1183, 2170, 3192, 4436, 6167, 6611, 8026, 612, 1496, 2829, 3993, 4323, 5489, 7071, 7911, 665, 1137, 2581, 3997, 5130, 5969, 6756, 8084, 736, 1682, 2355, 3616, 4790, 5714, 6349, 8186, 802, 1492, 2355, 3337, 4983, 5930, 7165, 7412, 981, 1577, 2552, 3460, 5040, 5623, 6492, 7921, 403, 1168, 2208, 3332, 4941, 5497, 6790, 8068, 1091, 1561, 2445, 3332, 4440, 5456, 7223, 7880, 1047, 2065, 2899, 3771, 4555, 5538, 6668, 7605, 1003, 1506, 2514, 3821, 4620, 5300, 6525, 7721, 373, 1876, 2669, 3159, 4267, 6175, 6961, 7860, 91, 2100, 2872, 4027, 4555, 6003, 6614, 7907, 1091, 2065, 2884, 3822, 4446, 5533, 6832, 7753, 779, 2068, 2775, 3873, 4555, 5677, 6859, 7962, 779, 1876, 2669, 4011, 5061, 6175, 6776, 8213, 552, 2065, 2741, 4164, 4853, 5340, 7129, 7906, 859, 2111, 2946, 4153, 4533, 5981, 7111, 7563, 967, 1876, 2724, 4085, 4239, 5811, 7111, 7962, 935, 2111, 2991, 3374, 5060, 5981, 7047, 8107, 186, 1623, 2781, 3188, 4622, 5219, 7152, 8196, 186, 1623, 3007, 3803, 4888, 5219, 7152, 8260, 488, 1528, 3117, 3803, 4798, 6081, 7124, 7766, 818, 2017, 2781, 3803, 4798, 5241, 7226, 8223, 488, 1528, 2914, 3825, 4888, 6139, 7077, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 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, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 915, 1147, 3065, 3595, 4583, 5438, 7207, 7476, 142, 1528, 2806, 3825, 4624, 6081, 7226, 8223, 915, 1648, 2806, 3595, 4555, 5635, 7077, 7766, 419, 1705, 2316, 4018, 4624, 5635, 6291, 7723, 955, 1467, 2316, 3430, 4966, 5892, 6864, 8213, 752, 1915, 2316, 3516, 4651, 5892, 6972, 8237, 650, 1915, 2316, 3540, 5127, 5761, 7207, 8102, 1037, 1455, 2534, 4085, 4588, 6119, 7207, 8085, 512, 1945, 2946, 3188, 4896, 5614, 7239, 7717, 211, 1562, 2946, 3932, 5139, 5968, 7114, 8185, 221, 1910, 2429, 3212, 5159, 6094, 6648, 7369, 613, 1269, 2971, 3579, 4225, 6116, 6850, 8250, 487, 1914, 2453, 3731, 4755, 5441, 6849, 8108, 1043, 1905, 2484, 3350, 4897, 5396, 6763, 7772, 604, 1238, 2380, 3792, 4595, 5642, 6238, 7736, 1070, 1719, 2272, 3651, 5146, 5781, 6682, 8117, 673, 1660, 2625, 3847, 4320, 6111, 7241, 8154, 482, 1503, 3032, 4028, 4243, 5751, 6313, 7891, 175, 1188, 2869, 3759, 4752, 5734, 6610, 7910, 326, 1615, 2869, 3685, 4454, 5660, 6503, 7409, 326, 1193, 2869, 4100, 4945, 5563, 6835, 7894, 326, 1703, 2836, 3329, 4614, 6088, 6891, 8224, 886, 1901, 2244, 3931, 4636, 5746, 7185, 7502, 223, 1476, 2514, 4083, 5176, 5942, 6530, 8262, 453, 1577, 3083, 3746, 4916, 6080, 6612, 7305, 654, 1974, 2880, 3555, 5088, 5596, 6891, 7962, 195, 1633, 2356, 3276, 5044, 6123, 6991, 8074, 228, 1452, 2741, 3240, 4611, 5761, 6772, 7831, 228, 1112, 2560, 4111, 4877, 5792, 6589, 8267, 518, 1961, 2659, 4103, 4780, 5548, 6607, 7716, 518, 2032, 2946, 3746, 4644, 5550, 6740, 7574, 518, 1286, 3133, 4083, 4555, 5514, 7098, 7806, 171, 1237, 2614, 3305, 4437, 6117, 7012, 7896, 860, 2068, 2806, 3803, 4877, 5219, 6604, 7949, 419, 1750, 2781, 3803, 4704, 6186, 6752, 7563, 915, 2017, 2164, 3825, 4798, 5677, 7226, 8260, 915, 2017, 3133, 3825, 4398, 5514, 6996, 8223, 488, 1528, 3065, 3825, 4704, 6081, 7226, 8223, 488, 1528, 3065, 3825, 4624, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 859, 1998, 3006, 3932, 5088, 6195, 7168, 8185, 818, 1622, 3007, 4011, 4782, 6139, 7084, 8147, 915, 1622, 2806, 4174, 4798, 6081, 7226, 7766, 120, 1858, 2860, 4066, 4423, 5223, 6832, 7479, 967, 2065, 2324, 3175, 4501, 5514, 6467, 7602, 857, 1689, 3130, 3928, 4318, 5244, 6702, 7906, 247, 1645, 2844, 3425, 4353, 5666, 6864, 8225, 814, 1946, 3048, 3643, 4482, 5553, 6659, 7860, 739, 1650, 2751, 3586, 4959, 5742, 6912, 7362, 1052, 2118, 3132, 3988, 4929, 5231, 6573, 7946, 873, 1653, 2380, 3609, 4929, 5474, 6358, 7891, 192, 1653, 2271, 3348, 5066, 5918, 7133, 8078, 192, 1905, 2151, 3298, 5031, 5209, 6656, 7348, 620, 1719, 2355, 3570, 4714, 6156, 6586, 7379, 639, 1653, 3051, 3525, 4557, 6192, 6552, 7991, 1088, 1653, 2861, 3720, 4424, 5690, 6393, 8181, 1059, 1653, 2654, 3740, 5160, 5212, 6839, 7813, 831, 1653, 2380, 3259, 5143, 6042, 7055, 8008, 216, 1349, 2355, 4057, 5120, 5674, 6609, 7381, 984, 1668, 2944, 4112, 5166, 5871, 7150, 7870, 568, 1386, 2709, 3555, 4898, 5781, 7095, 7764, 183, 1851, 2992, 3595, 5160, 6063, 6877, 8130, 617, 1695, 2356, 3417, 5060, 5837, 7157, 7876, 105, 1684, 3065, 3595, 4888, 5678, 6701, 7838, 555, 1623, 2833, 3803, 4888, 5514, 6338, 7949, 186, 1684, 2729, 4145, 4888, 6182, 6589, 8107, 488, 2017, 2781, 3803, 4870, 6205, 6786, 7717, 488, 2017, 2781, 3803, 4583, 5901, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 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, 3893, 4624, 5635, 6794, 8196, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 488, 1648, 2806, 3893, 4870, 6139, 6589, 8196, 488, 1648, 2914, 3893, 4798, 5635, 6752, 8196, 488, 1648, 2914, 3893, 4798, 6139, 6752, 8196, 915, 1684, 3021, 3891, 4798, 5534, 6677, 8076, 555, 1648, 3021, 3374, 5159, 5635, 6584, 7949, 915, 2111, 3021, 3374, 4798, 5534, 7226, 8223, 4, 2 ]

[ 1, 31, 33, 63, 5, 76, 11, 78, 5, 54, 17, 67, 44, 55, 5, 66, 73, 5, 64, 45, 42, 54, 16, 41, 27, 5, 62, 48, 64, 5, 44, 54, 5, 45, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4798, 6081, 7077, 7766, 684, 1233, 2582, 3916, 4398, 5832, 7010, 8066, 716, 1139, 2491, 3823, 4708, 5325, 6485, 8203, 598, 1826, 2974, 3741, 4193, 5603, 6917, 7599, 1042, 1283, 2480, 3158, 4541, 5796, 7140, 7954, 184, 1808, 2487, 3717, 4636, 5341, 6909, 7678, 993, 1283, 2422, 3442, 4604, 6080, 6529, 7957, 443, 2059, 2697, 3976, 4364, 5597, 6474, 8071, 104, 1770, 2207, 3938, 4688, 6142, 6714, 7515, 1011, 1329, 2207, 3591, 4948, 6098, 6234, 7361, 831, 1369, 2791, 3427, 4716, 6125, 7157, 8266, 1057, 1992, 2924, 3363, 4509, 5745, 6708, 7718, 536, 1982, 3092, 3298, 5031, 5419, 6820, 7274, 665, 1489, 2787, 4021, 5022, 5425, 7194, 7772, 991, 1509, 2716, 3986, 4541, 5285, 7099, 7921, 326, 1139, 2175, 3635, 4483, 6047, 6985, 8175, 516, 1826, 2897, 3732, 4459, 6199, 6917, 7616, 874, 1806, 2306, 4135, 4454, 5760, 6625, 7732, 654, 1116, 2598, 3251, 5147, 5521, 6740, 8212, 225, 1508, 2669, 3391, 4240, 5778, 6225, 7386, 440, 1876, 2529, 3909, 4421, 5963, 6349, 7887, 709, 1508, 2975, 4096, 4421, 5811, 6613, 7664, 663, 1308, 2783, 3885, 4859, 5883, 6786, 8237, 750, 1919, 2636, 4067, 5180, 5641, 6244, 8061, 826, 1865, 2422, 4115, 4836, 5899, 6237, 7879, 850, 1510, 2636, 3300, 4672, 5810, 6302, 7650, 404, 1912, 2751, 3376, 4667, 5364, 6478, 7492, 862, 1369, 3130, 3511, 4441, 5341, 6262, 7919, 632, 1547, 3029, 3684, 4900, 5607, 7003, 7772, 485, 1830, 2636, 3841, 4485, 5934, 7108, 7502, 833, 1346, 2373, 3679, 4716, 6210, 6267, 7755, 373, 1183, 2462, 3521, 4716, 5766, 7047, 7676, 171, 2073, 2383, 3188, 4716, 6087, 7170, 8253, 518, 1178, 2775, 3951, 4993, 5863, 6918, 7602, 878, 1597, 2754, 3866, 4785, 5965, 6542, 7664, 579, 1468, 2654, 3512, 4225, 5672, 6367, 7842, 1037, 1416, 2554, 4094, 5076, 5606, 7188, 8214, 271, 1330, 2953, 3734, 4658, 5954, 6456, 8009, 306, 1640, 2487, 3899, 4506, 5325, 6529, 7303, 996, 1695, 2688, 3218, 5145, 5668, 6267, 7821, 1038, 1550, 2480, 3751, 4804, 5419, 6608, 7823, 487, 1972, 2161, 3363, 4800, 6080, 6776, 7900, 970, 2107, 2923, 3387, 4770, 5565, 6625, 7991, 778, 1858, 2135, 4096, 4931, 5276, 6485, 7857, 850, 1858, 2868, 3878, 4191, 6084, 6532, 7476, 831, 1120, 2298, 3961, 4282, 5641, 6732, 8077, 390, 1485, 2436, 3188, 4551, 5908, 7006, 8070, 684, 1992, 2661, 3832, 4822, 5493, 7129, 7838, 757, 1586, 2450, 3904, 4700, 6051, 6604, 7764, 585, 1266, 2795, 3788, 4423, 6002, 7232, 7743, 150, 1397, 2562, 3511, 4343, 5981, 6850, 8118, 1036, 1682, 2346, 3769, 4723, 5794, 6813, 7394, 862, 1906, 2751, 3843, 4489, 5611, 7096, 7905, 952, 1178, 2881, 3723, 4399, 5938, 7090, 7629, 225, 2065, 2461, 3424, 4777, 6172, 6702, 7999, 699, 2013, 2359, 3723, 4973, 5978, 7085, 7248, 654, 2002, 2282, 3518, 4533, 6149, 7045, 8080, 195, 1424, 2454, 3796, 4459, 5963, 6740, 8267, 654, 1345, 2792, 4113, 4888, 5436, 7006, 7677, 195, 1750, 2156, 3297, 4638, 5938, 6688, 7965, 518, 1853, 3144, 3227, 4329, 5963, 6736, 7770, 617, 1185, 2946, 3391, 4867, 5527, 7023, 7397, 767, 1919, 2282, 3596, 4890, 5757, 6727, 7894, 896, 1227, 2724, 3883, 4571, 5370, 6519, 7769, 1040, 1333, 2263, 4015, 4995, 6084, 6909, 8025, 986, 1640, 2751, 4079, 4288, 5575, 7116, 8097, 571, 1550, 2365, 3916, 4364, 5308, 6790, 7777, 804, 1671, 2369, 4124, 4993, 5978, 6613, 7838, 308, 1218, 3021, 3877, 4551, 5844, 7132, 8179, 804, 1933, 2820, 4145, 5166, 5340, 6918, 7485, 1011, 1773, 2139, 3363, 4765, 5730, 7017, 8025, 1037, 1363, 2946, 3826, 5080, 5436, 7095, 7508, 750, 1209, 2655, 4067, 5084, 6192, 6439, 8114, 678, 1878, 2750, 3488, 4764, 6014, 7019, 7516, 391, 1350, 2658, 4154, 4816, 6050, 6719, 7457, 480, 1778, 2846, 3245, 5050, 5276, 7040, 7609, 668, 1609, 3049, 4117, 4478, 5699, 6984, 8033, 643, 1582, 3148, 4065, 4596, 5814, 6423, 8052, 1099, 1562, 3135, 4093, 4215, 5981, 6979, 7831, 789, 1525, 2433, 3885, 4611, 5767, 7230, 8245, 568, 2030, 2886, 3254, 4780, 5289, 6615, 8209, 518, 1386, 2904, 3866, 4762, 5730, 7240, 8205, 153, 1752, 3092, 3595, 4729, 5515, 6614, 8256, 390, 1499, 2754, 4147, 4387, 5944, 6694, 7394, 1067, 1469, 3140, 3558, 4999, 5684, 7033, 7518, 531, 1582, 2751, 3480, 4616, 5566, 7059, 7449, 459, 1879, 2458, 3894, 4761, 5745, 6569, 7944, 996, 1146, 2345, 3816, 4561, 6092, 7043, 7904, 702, 1199, 2540, 4028, 4684, 5404, 6603, 8139, 673, 1489, 3074, 4067, 4290, 5357, 7028, 7740, 396, 1627, 3074, 3683, 4833, 5618, 6530, 7611, 668, 1881, 2965, 3936, 4484, 6035, 6656, 7610, 995, 2107, 2487, 3555, 4788, 5494, 6324, 8061, 692, 1881, 3074, 3741, 4667, 6222, 6560, 7778, 113, 1942, 2830, 3392, 4350, 6111, 6909, 7615, 424, 1397, 2402, 3903, 4371, 5574, 6606, 8006, 186, 2097, 3007, 4108, 4852, 5481, 7148, 8099, 935, 1992, 2754, 3899, 5139, 5540, 7201, 8237, 935, 1992, 3008, 3803, 4912, 5705, 6774, 7720, 818, 1847, 3095, 4011, 5166, 5705, 7124, 8260, 818, 1847, 2164, 4011, 5058, 5705, 7006, 7806, 818, 1622, 2781, 3825, 5104, 5901, 6709, 7766, 186, 1528, 2806, 3982, 4624, 6085, 7201, 7720, 956, 1218, 2746, 3893, 5058, 5241, 6794, 8260, 143, 1652, 3000, 3613, 5130, 5990, 7060, 8040, 757, 1736, 3117, 4085, 4762, 5385, 6755, 7782, 757, 1684, 2729, 3662, 5076, 5413, 6944, 7557, 752, 1924, 2315, 4145, 5139, 5438, 6967, 7311, 487, 1255, 2944, 3909, 4337, 5925, 6967, 7793, 487, 1583, 2567, 3475, 4297, 5470, 7229, 8045, 487, 1255, 2946, 3649, 4918, 5454, 6967, 7430, 487, 1255, 2534, 3928, 4352, 5893, 6614, 7453, 487, 1255, 2381, 3928, 4604, 6154, 7129, 8140, 211, 2053, 2750, 3983, 4364, 6120, 7232, 7563, 211, 2053, 2678, 3570, 4364, 5962, 6944, 7649, 1090, 1460, 2946, 3570, 4586, 5810, 6809, 7687, 103, 1350, 2208, 3671, 5139, 5223, 6809, 8126, 453, 2046, 2401, 3413, 5085, 5413, 6607, 8245, 568, 1570, 2608, 3749, 4696, 5748, 7119, 7887, 225, 1147, 2874, 3746, 4863, 5761, 7070, 7831, 225, 1961, 3048, 3827, 4459, 5516, 6709, 7555, 225, 1264, 2473, 3827, 4727, 5978, 7160, 7476, 518, 1645, 2761, 3391, 4870, 5730, 7096, 7948, 228, 1684, 2316, 4125, 4918, 5514, 6728, 7948, 228, 1345, 2669, 3470, 4859, 5767, 6809, 7453, 105, 1684, 3133, 4145, 4398, 6101, 7232, 8126, 859, 1963, 2554, 3277, 4387, 6149, 6889, 7528, 223, 1570, 2332, 3472, 4925, 5519, 7224, 7355, 761, 1460, 2332, 3393, 4211, 5579, 6755, 7549, 1036, 1597, 3033, 3807, 4412, 5898, 6419, 7367, 234, 1286, 2181, 3741, 4868, 5903, 6673, 7462, 234, 1942, 2332, 3178, 5047, 5259, 6863, 7869, 692, 1695, 2839, 3811, 4365, 5755, 6456, 7855, 692, 1881, 2409, 3741, 4211, 6165, 6696, 8103, 504, 2063, 2452, 3448, 4918, 5716, 6900, 8092, 678, 1577, 2591, 3540, 5088, 5661, 6868, 7782, 211, 1146, 3144, 3767, 4791, 6003, 6915, 7717, 104, 1363, 2279, 3810, 5092, 5424, 6840, 8171, 535, 1695, 2486, 3964, 4321, 5672, 6696, 7497, 404, 1695, 2761, 3776, 4472, 5512, 6373, 7584, 326, 1942, 2332, 3913, 4707, 5704, 7234, 7869, 881, 1564, 3029, 3161, 5095, 5775, 6563, 7501, 691, 1564, 2481, 3429, 4539, 5639, 6868, 7545, 390, 1564, 2336, 4078, 4985, 5937, 6437, 7902, 1097, 1648, 2383, 3596, 5080, 6211, 6701, 7716, 186, 1992, 2746, 3982, 4387, 5661, 6786, 7764, 935, 1175, 2833, 3914, 4533, 5241, 7111, 7717, 1020, 1564, 2309, 3749, 5197, 6171, 6422, 8016, 518, 1695, 2860, 3227, 4727, 6103, 6338, 8102, 105, 1684, 2554, 3518, 4877, 5550, 6612, 7806, 818, 1684, 2858, 3914, 4287, 5963, 6810, 7865, 860, 2017, 3135, 4071, 4704, 6139, 7077, 8196, 860, 1528, 2806, 3825, 5038, 6139, 6794, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6752, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3893, 4798, 6186, 7226, 8196, 4, 2 ]

[ 1, 62, 63, 23, 30, 5, 52, 45, 62, 64, 5, 5, 3, 617, 1585, 2208, 4125, 4267, 5719, 7019, 7563, 579, 1396, 2790, 3558, 4573, 5342, 6298, 7411, 579, 2045, 2889, 3596, 4780, 5436, 6909, 7816, 1102, 1540, 3026, 3793, 4896, 6152, 6864, 7533, 223, 1594, 3068, 3511, 4869, 5671, 7063, 7936, 895, 1615, 2438, 4030, 4495, 5864, 6682, 8018, 249, 1865, 2355, 3354, 5050, 6089, 6422, 7724, 759, 1720, 2750, 3411, 4450, 5226, 6560, 7524, 113, 1503, 2532, 3512, 4652, 5546, 7086, 7994, 320, 1296, 2869, 3354, 4371, 5347, 6772, 7583, 643, 1503, 2672, 4163, 4403, 5787, 6470, 7437, 887, 1503, 2165, 4075, 4804, 5711, 6237, 7775, 942, 1503, 3078, 3704, 4891, 5809, 6997, 8205, 504, 1503, 2847, 4044, 4597, 5277, 7203, 7261, 643, 1812, 2869, 3354, 4609, 5816, 6753, 8207, 887, 1897, 2869, 3760, 4282, 5410, 7164, 7469, 150, 1897, 2152, 3981, 4215, 6180, 7114, 8184, 150, 1290, 2691, 3909, 5182, 6083, 6899, 7264, 610, 2048, 2137, 3544, 5062, 5947, 6523, 8188, 610, 2048, 2389, 4005, 5079, 5978, 7149, 8121, 610, 1294, 2348, 3249, 4340, 5419, 7114, 7397, 288, 2073, 2677, 4011, 4834, 6183, 6646, 7919, 684, 2079, 3043, 3440, 4551, 6129, 6988, 8179, 804, 1881, 3095, 4108, 5080, 6182, 6988, 8223, 1097, 1791, 2924, 3226, 4287, 6051, 6776, 7260, 804, 1540, 2957, 4108, 4287, 6182, 6786, 8179, 356, 1910, 2801, 4143, 4859, 5978, 7069, 7948, 952, 1550, 3062, 3662, 4275, 5802, 6966, 7538, 304, 2126, 2837, 3874, 4219, 5827, 7120, 7887, 390, 1581, 3049, 3917, 4623, 5289, 6589, 7528, 1090, 2024, 3130, 3478, 5169, 5276, 6998, 7852, 424, 1596, 2373, 3276, 4677, 6128, 7175, 7349, 1059, 2079, 3040, 3788, 5020, 5719, 7041, 7805, 424, 1436, 2626, 3231, 5115, 6103, 7120, 7381, 231, 1139, 2225, 3518, 4244, 5325, 7012, 7954, 881, 2048, 2940, 3165, 4621, 5865, 7103, 7476, 664, 1832, 2953, 3936, 4641, 5486, 6466, 7904, 1019, 2083, 2665, 3623, 4539, 5640, 6769, 7683, 881, 1834, 2994, 3384, 4644, 6155, 6224, 7683, 1024, 1695, 2288, 3642, 4881, 5723, 6910, 7955, 610, 1283, 2728, 3515, 4298, 5918, 6339, 7279, 818, 2046, 2729, 4065, 5058, 5974, 6540, 8266, 1099, 1856, 2989, 4150, 5106, 5767, 7084, 7887, 956, 2068, 3006, 3866, 5061, 6129, 6752, 8080, 818, 1620, 3095, 3866, 5159, 6129, 7132, 7723, 512, 1874, 2313, 3361, 5080, 5824, 6972, 7764, 746, 1915, 3026, 3567, 4287, 6163, 6401, 8227, 105, 2002, 2970, 3374, 4259, 6103, 7237, 8188, 183, 1736, 3021, 3413, 5083, 5580, 6986, 8252, 228, 1586, 2944, 3680, 5079, 5580, 6604, 7908, 225, 1826, 2792, 3788, 5197, 6101, 7047, 7447, 228, 2111, 2542, 3363, 4863, 5296, 6717, 8076, 228, 1304, 2775, 3359, 4877, 5515, 7058, 7962, 240, 1313, 2976, 3891, 4512, 6175, 7120, 7865, 228, 1851, 3062, 3838, 5135, 5241, 7091, 8076, 654, 1468, 2717, 3586, 4423, 6175, 7146, 8126, 228, 1851, 3139, 3518, 4934, 5548, 6810, 8179, 228, 1851, 2565, 4153, 4870, 5515, 6486, 7706, 228, 1851, 2565, 3394, 4700, 5603, 7152, 7732, 228, 1345, 2565, 4153, 4877, 5963, 6889, 8262, 256, 1756, 2554, 3586, 4654, 5811, 6584, 7706, 475, 1468, 2833, 3376, 5160, 5241, 7120, 7477, 915, 1528, 2554, 3595, 4877, 5241, 7129, 8196, 915, 1622, 3133, 3413, 5079, 5677, 6809, 7770, 488, 1528, 3065, 3595, 4624, 5892, 6996, 8147, 915, 2017, 2806, 3595, 4624, 5515, 6996, 8196, 488, 1528, 3065, 3825, 4704, 6139, 7077, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 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, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 76, 33, 54, 5, 31, 39, 5, 43, 14, 30, 5, 76, 20, 51, 66, 5, 16, 5, 52, 45, 66, 16, 52, 5, 76, 39, 5, 41, 63, 17, 53, 5, 31, 33, 63, 5, 30, 20, 63, 5, 5, 3, 488, 2111, 2858, 4174, 5079, 5550, 6752, 8080, 555, 1684, 3040, 3891, 4790, 5436, 7098, 7716, 186, 2111, 3021, 3893, 4798, 5219, 6996, 7715, 142, 1622, 2914, 3825, 4704, 5241, 7077, 7766, 142, 1528, 2806, 3825, 4704, 6139, 7226, 8196, 142, 1528, 2806, 3893, 4704, 6186, 7226, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 818, 1528, 2806, 4114, 4888, 6129, 7124, 7723, 831, 2035, 3144, 4018, 5038, 6131, 6750, 8076, 803, 1783, 2321, 3218, 4582, 5747, 6269, 7598, 681, 1708, 2691, 3551, 4514, 5995, 6560, 7648, 737, 1596, 2373, 4072, 4372, 6183, 6311, 8007, 737, 1139, 2292, 4072, 4459, 5335, 6306, 7438, 104, 2061, 2248, 4004, 4338, 5441, 6354, 8050, 1033, 1428, 2610, 4103, 4359, 5208, 7133, 8266, 1071, 1428, 2737, 3395, 4954, 5713, 7135, 7966, 104, 1141, 2248, 3943, 5078, 5740, 7202, 7744, 1049, 2079, 2799, 4124, 4536, 5982, 6313, 7538, 737, 2117, 3091, 3788, 4740, 5474, 6544, 8231, 399, 1472, 3091, 4015, 4340, 5866, 6637, 7911, 399, 1472, 2346, 3426, 4741, 5344, 6625, 7930, 1039, 1550, 3116, 3292, 4800, 5880, 6847, 8114, 137, 1550, 2798, 3329, 4288, 5695, 7043, 7902, 545, 1327, 3091, 3329, 4457, 5641, 7043, 7590, 665, 1550, 2751, 3846, 5138, 6119, 6847, 7509, 115, 1126, 2740, 3855, 5138, 5730, 6768, 7260, 807, 1653, 2436, 3514, 5053, 5496, 6663, 7986, 487, 1309, 3116, 3423, 4664, 6142, 7163, 7625, 326, 1993, 3091, 3884, 4539, 5775, 7043, 8019, 774, 1808, 2683, 3421, 4760, 5624, 6397, 7935, 1052, 1800, 2751, 3366, 5022, 5762, 7043, 7643, 569, 1695, 2509, 4089, 4274, 5478, 7043, 8012, 806, 1636, 2156, 4037, 5074, 5270, 7157, 7463, 959, 1472, 2293, 3756, 5150, 5643, 6668, 8172, 684, 1467, 2792, 3732, 4859, 5378, 7023, 7290, 171, 1422, 2989, 3749, 4589, 5705, 7181, 7476, 776, 1881, 2708, 4006, 4387, 5890, 6470, 8195, 390, 1330, 2838, 3188, 4859, 5832, 7239, 8085, 955, 1587, 2167, 3226, 5060, 5210, 7207, 7421, 663, 1939, 2965, 3848, 4319, 5844, 7217, 8260, 1056, 1675, 2396, 4071, 5060, 6205, 7207, 8096, 1035, 2095, 2965, 3685, 5145, 5844, 6630, 7887, 104, 1455, 2981, 3253, 4181, 6220, 7047, 8016, 864, 1660, 2981, 3616, 5041, 5914, 6692, 7887, 1008, 1290, 2945, 3386, 4620, 5867, 7227, 7266, 1016, 1893, 2882, 3356, 5019, 5976, 6549, 8222, 738, 1893, 3097, 4034, 5019, 5717, 6781, 8048, 887, 2124, 2877, 3880, 4982, 5469, 7223, 8163, 738, 1860, 3078, 3755, 4636, 6219, 6998, 7362, 887, 1960, 2894, 4037, 4295, 5496, 6805, 7415, 104, 1270, 2204, 4142, 4661, 5577, 6373, 8123, 110, 1439, 2444, 3770, 4994, 5869, 6235, 8262, 450, 1932, 2998, 3391, 4339, 6181, 6436, 7547, 337, 1620, 2493, 3962, 5038, 5824, 6688, 7264, 510, 1620, 2838, 3681, 4980, 5245, 7218, 7764, 935, 2032, 3110, 4108, 5183, 6205, 6953, 8195, 935, 2041, 2838, 4071, 5060, 6195, 7058, 7876, 186, 1869, 2730, 3975, 5060, 5901, 6996, 8196, 935, 1622, 2838, 4171, 4782, 5219, 6996, 8076, 186, 1528, 3110, 3803, 4822, 6182, 7201, 8237, 617, 1961, 3110, 4018, 4844, 5981, 6900, 7563, 541, 1869, 2918, 3874, 5122, 5963, 6302, 7732, 223, 1315, 3080, 3678, 4335, 5745, 6588, 7438, 761, 2050, 2205, 3745, 5184, 5964, 6841, 7709, 803, 2089, 2348, 3623, 5031, 6060, 6414, 7754, 487, 1183, 2348, 4004, 4461, 5849, 6574, 7318, 1035, 1129, 2855, 4015, 4930, 5893, 6654, 7955, 802, 1771, 2345, 3356, 4184, 6010, 7033, 8101, 1005, 1596, 2389, 3394, 4592, 5982, 7035, 7707, 610, 1946, 3147, 3513, 5127, 5656, 6713, 8233, 920, 1797, 3040, 3300, 4691, 5325, 7017, 8262, 806, 1993, 3040, 3610, 4335, 5709, 7078, 8163, 443, 1389, 3040, 3356, 4347, 5589, 6242, 7987, 443, 1596, 3040, 3609, 4669, 6130, 6433, 7905, 881, 1628, 3040, 3286, 4825, 6130, 6538, 7727, 993, 1596, 3040, 4110, 4859, 5973, 6924, 7973, 1025, 1183, 2927, 3356, 4983, 6002, 7154, 8089, 610, 1770, 3040, 3987, 4595, 5519, 7154, 7831, 153, 1320, 2877, 3649, 4371, 5344, 6708, 8150, 1025, 1141, 2330, 3394, 4437, 5221, 6677, 8090, 424, 2073, 2708, 3842, 4755, 5364, 6566, 7831, 850, 1199, 2607, 3276, 5067, 6162, 6784, 7906, 160, 1867, 2173, 3968, 4801, 6002, 6791, 7466, 806, 1440, 3107, 3456, 4550, 5788, 6710, 7792, 887, 2089, 2360, 3214, 4310, 5902, 6924, 8041, 887, 1873, 2642, 3766, 4198, 6019, 6663, 7890, 1025, 1469, 2931, 3660, 4602, 5814, 6408, 7831, 610, 1275, 2981, 3905, 4573, 5788, 6408, 8076, 1090, 1467, 2754, 3162, 4884, 5439, 7100, 7424, 424, 1660, 2903, 4017, 5106, 6123, 6584, 7870, 1090, 1989, 2834, 4114, 5106, 6146, 6344, 8261, 970, 2046, 2894, 4114, 4582, 5287, 6346, 7311, 970, 1577, 2894, 3488, 4365, 6070, 7119, 8054, 864, 1469, 3033, 4035, 5192, 5828, 6255, 7448, 1080, 2050, 2144, 3409, 4278, 5745, 6911, 7813, 639, 1157, 3026, 3609, 4238, 5863, 6719, 7962, 913, 1944, 2188, 3167, 5096, 6034, 6765, 7904, 487, 1252, 2258, 3361, 4474, 5482, 6262, 7329, 545, 1832, 2777, 3642, 4709, 5796, 6348, 7966, 582, 1350, 3091, 3349, 4522, 5767, 6923, 7962, 806, 1550, 2799, 3412, 5098, 5640, 7017, 7980, 807, 1935, 2520, 3855, 5106, 5344, 7152, 8132, 487, 2095, 2850, 3720, 4601, 5810, 7063, 7752, 831, 1403, 2940, 3943, 4235, 5706, 6579, 7955, 390, 2111, 2728, 3710, 4981, 5981, 7111, 7776, 878, 1596, 2795, 3963, 4437, 6067, 7096, 7794, 901, 1311, 2695, 3930, 5073, 5951, 6254, 7826, 878, 2073, 2858, 3376, 4486, 5425, 6688, 8080, 878, 2060, 2970, 3470, 4459, 5723, 6803, 7697, 568, 2030, 2941, 3239, 4215, 5658, 6816, 8245, 878, 1490, 3021, 3951, 5134, 5475, 7006, 8262, 171, 2097, 3021, 3994, 4872, 6163, 7114, 7898, 650, 1865, 2484, 3873, 4884, 5795, 7018, 7311, 814, 1865, 2661, 3539, 5044, 5907, 7052, 7969, 665, 1865, 2336, 3392, 4990, 5408, 7075, 8254, 806, 1145, 2265, 3851, 4501, 5658, 7223, 8044, 955, 1280, 2754, 3513, 5021, 5865, 6840, 7558, 335, 1399, 3033, 3655, 4458, 5811, 6709, 8072, 424, 1568, 2727, 3756, 4430, 5210, 7114, 7570, 391, 1399, 3092, 3616, 4936, 6050, 6850, 7974, 831, 2036, 2440, 3282, 5100, 5493, 6791, 7971, 391, 1797, 3061, 4005, 4829, 5908, 7207, 7785, 1090, 1141, 3108, 3842, 4430, 5410, 7207, 8209, 831, 1786, 2709, 4150, 4191, 5937, 7019, 8177, 970, 1596, 2144, 4027, 5040, 5437, 6413, 7584, 1065, 1557, 2403, 3394, 4611, 5935, 6790, 7271, 175, 1831, 2346, 3340, 4687, 5325, 6783, 7616, 844, 1653, 2487, 3488, 4526, 5564, 6678, 8262, 807, 1286, 2346, 3326, 4195, 5760, 6814, 7898, 996, 1164, 2992, 3566, 5090, 5216, 6397, 7481, 639, 1577, 2487, 3723, 4346, 6178, 6941, 8245, 1003, 1695, 2547, 4037, 4386, 5538, 7222, 8108, 662, 1238, 2355, 3261, 5031, 5668, 7041, 7821, 662, 1335, 2355, 3824, 4678, 5371, 7008, 8262, 569, 1633, 2926, 4037, 4526, 6044, 6715, 7549, 536, 2125, 2487, 4037, 5050, 5950, 6614, 7548, 1025, 1472, 2931, 4037, 4651, 5588, 6458, 7574, 308, 1668, 2554, 3795, 5120, 5764, 6899, 8262, 804, 1705, 2746, 3961, 5080, 5776, 6584, 8083, 512, 1218, 2746, 3201, 4289, 5767, 6584, 8267, 779, 1467, 3128, 4114, 5104, 5630, 6809, 7717, 804, 2046, 3064, 3516, 4512, 5630, 7239, 7723, 308, 1791, 2895, 3975, 5159, 5901, 7168, 8066, 663, 1540, 2381, 4108, 4366, 5661, 7090, 8267, 541, 1808, 3032, 3562, 4519, 5953, 6302, 7487, 826, 2002, 2697, 3788, 4364, 5863, 7102, 7494, 692, 1878, 2661, 3623, 4955, 5325, 6422, 7894, 641, 1669, 2440, 3178, 5088, 5350, 6348, 7580, 547, 1141, 2506, 3385, 5135, 5905, 6870, 8206, 913, 1838, 3061, 3313, 4379, 5203, 7232, 7975, 110, 1315, 2369, 3727, 4546, 5342, 6684, 7648, 970, 1877, 2894, 3609, 4903, 6006, 6947, 8054, 110, 1970, 2373, 3388, 4682, 6024, 7230, 7748, 110, 2027, 2783, 3729, 5123, 5750, 7102, 7919, 643, 1469, 2873, 3512, 5009, 5863, 7133, 8249, 110, 2066, 2869, 4088, 4994, 5773, 6834, 7651, 424, 1469, 2703, 3839, 4809, 5219, 6632, 7264, 1035, 1469, 2422, 3380, 4994, 5675, 7165, 7491, 110, 1683, 2529, 3752, 5107, 5276, 6409, 7650, 1016, 1468, 2321, 3453, 4349, 5259, 6571, 7947, 235, 1280, 2774, 4086, 4688, 5733, 6855, 7964, 371, 1503, 2365, 4140, 4644, 5910, 7091, 8099, 235, 1566, 2361, 3883, 4514, 5410, 7236, 8192, 770, 1141, 2692, 3988, 5129, 5757, 6736, 8073, 212, 1158, 3118, 3915, 4842, 5656, 6349, 7503, 961, 1566, 2440, 3300, 4525, 5783, 6961, 7488, 992, 1758, 2805, 3809, 4755, 5925, 6476, 7824, 996, 1758, 2669, 3970, 4801, 5738, 6883, 7270, 725, 1555, 2805, 3493, 4364, 5953, 7078, 7440, 1101, 1758, 2810, 3656, 4949, 5473, 6547, 7533, 1063, 1139, 2946, 4174, 5040, 5565, 6805, 7972, 923, 1399, 2987, 3282, 4800, 5468, 6723, 7855, 750, 1916, 2953, 3501, 4456, 5425, 6411, 7607, 684, 1998, 2788, 3924, 5151, 5944, 6776, 7770, 984, 2041, 2989, 4085, 5138, 5840, 7149, 7865, 935, 2065, 2996, 4097, 4822, 5661, 6898, 7557, 935, 1945, 2996, 4114, 4912, 5385, 7006, 8093, 818, 1622, 2746, 4114, 5058, 6129, 6972, 8179, 818, 2017, 2914, 4108, 4798, 6186, 7077, 7766, 818, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1528, 2164, 3893, 4624, 6081, 7124, 7766, 488, 1528, 2833, 3893, 4624, 6139, 6589, 7766, 488, 1648, 2806, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2111, 3065, 3827, 4704, 5635, 6589, 8147, 488, 2111, 3065, 3893, 4798, 5635, 7098, 8080, 4, 2 ]

[ 1, 52, 33, 66, 5, 43, 45, 53, 5, 52, 26, 75, 5, 52, 20, 55, 5, 14, 78, 5, 43, 48, 5, 53, 39, 5, 5, 3, 488, 2068, 2991, 3803, 4704, 6211, 6752, 8147, 956, 1218, 2970, 3226, 4888, 6085, 6709, 7664, 767, 1889, 2536, 4055, 4881, 5899, 7095, 8143, 1067, 1830, 2536, 3479, 4385, 5368, 6828, 7593, 781, 1199, 2890, 3233, 4776, 5643, 6888, 7341, 1101, 1266, 2173, 3889, 5161, 6108, 6392, 7751, 314, 1509, 2562, 3233, 4852, 6030, 7038, 7895, 1080, 1284, 2611, 3880, 4955, 5737, 6710, 7583, 200, 1346, 2633, 3843, 5031, 5924, 7097, 7423, 664, 1960, 2990, 3880, 4338, 5909, 7001, 7983, 1019, 2100, 2953, 3293, 4338, 5348, 6864, 7694, 611, 1453, 2165, 3261, 4668, 5259, 7183, 8225, 640, 1695, 2613, 4037, 4903, 5624, 6438, 7830, 759, 1695, 2785, 3313, 4918, 5400, 7157, 7367, 510, 1467, 2796, 3880, 4762, 5963, 7103, 8237, 256, 1617, 2196, 3445, 4426, 5436, 7065, 8006, 568, 2095, 3149, 4015, 5194, 5564, 6929, 7321, 757, 2067, 2660, 4125, 4179, 6086, 7010, 7658, 103, 1827, 3097, 4125, 4415, 5515, 6589, 8214, 731, 1543, 2946, 4125, 4589, 5485, 6426, 7438, 739, 2095, 2365, 3674, 4622, 5614, 6663, 7535, 632, 1550, 2994, 4137, 4788, 5970, 6861, 7524, 969, 1637, 2718, 3172, 4334, 5618, 6813, 8206, 1036, 1118, 2764, 3329, 4741, 5954, 7114, 7810, 381, 2090, 2878, 3298, 4195, 6086, 6298, 7483, 975, 1826, 2309, 3544, 4936, 6093, 6350, 7546, 401, 1776, 2309, 3358, 4586, 6014, 6413, 7248, 1024, 1637, 2309, 3756, 4435, 5331, 7237, 7703, 731, 1778, 2309, 3929, 4782, 5223, 6980, 8107, 223, 1834, 3150, 4082, 4423, 5550, 6687, 8206, 643, 1773, 2515, 4082, 4606, 5550, 6584, 7557, 504, 1797, 3149, 3901, 5129, 6175, 7044, 7524, 678, 1682, 3144, 4082, 4588, 5548, 6484, 8080, 1029, 1363, 2383, 3994, 4935, 5858, 6967, 8080, 386, 1543, 2321, 3496, 4781, 5840, 7232, 7954, 643, 1982, 2970, 4171, 4622, 5850, 6646, 7996, 504, 1234, 3151, 3727, 4902, 5873, 6871, 8248, 386, 1199, 3092, 3276, 4902, 5802, 7246, 7931, 271, 1503, 2842, 3918, 4941, 5713, 7114, 7383, 1036, 1407, 3075, 4130, 4731, 6111, 6574, 7481, 969, 1826, 2561, 4015, 4321, 5965, 7051, 7527, 975, 1249, 2953, 3882, 4205, 5441, 6466, 8070, 498, 1695, 2282, 3434, 4307, 6184, 6521, 8149, 92, 1938, 2346, 4138, 4511, 5728, 6354, 7442, 938, 1886, 2771, 3329, 4208, 5594, 6614, 7515, 864, 1490, 2629, 3709, 4344, 5780, 7085, 7587, 132, 1812, 2678, 4152, 4763, 5565, 7095, 7583, 504, 1265, 2655, 3364, 4423, 5899, 7217, 8164, 940, 1773, 2584, 3556, 4470, 5873, 6458, 7886, 1056, 2084, 2838, 3540, 4691, 5802, 7222, 7494, 756, 1773, 2473, 3582, 4289, 5836, 7149, 7494, 756, 1791, 3003, 3710, 4589, 5689, 6809, 8216, 756, 1700, 2946, 3727, 4902, 5378, 6841, 7962, 715, 1685, 2542, 3826, 4512, 5580, 6614, 7473, 986, 1937, 2556, 4064, 4535, 5995, 6755, 7881, 1090, 1582, 2232, 3784, 4321, 5802, 6412, 7570, 1025, 1867, 2636, 3479, 4653, 5708, 7162, 8248, 610, 2048, 2173, 3596, 4970, 5910, 6890, 7491, 150, 1469, 2701, 3880, 5092, 6154, 6614, 7402, 826, 2008, 2254, 3777, 4422, 5558, 6998, 7702, 1029, 1915, 2373, 3411, 4898, 5540, 6604, 8252, 386, 1469, 2360, 3685, 5042, 5658, 6657, 8238, 504, 2009, 2212, 3561, 5011, 6075, 6524, 7344, 363, 2008, 3015, 3602, 4597, 5902, 6563, 8084, 528, 1926, 2509, 4015, 4285, 5205, 6549, 8208, 400, 1440, 2861, 4128, 4722, 5722, 6234, 8052, 339, 1543, 2571, 3517, 4507, 6118, 6913, 7955, 546, 1469, 2968, 3279, 4483, 5707, 6943, 7456, 531, 2066, 2405, 4050, 4865, 5437, 6674, 8156, 1009, 1180, 2571, 3325, 4684, 5891, 6536, 7614, 1067, 1279, 2993, 3179, 4390, 5566, 6438, 8265, 531, 1284, 2423, 3721, 4531, 5495, 7005, 7814, 668, 1616, 2698, 3536, 4719, 5668, 6795, 8251, 386, 1448, 3010, 3338, 5081, 6199, 6568, 7626, 501, 1167, 2859, 3343, 4409, 6019, 6304, 7888, 271, 1727, 2549, 3255, 5124, 5934, 6517, 8087, 266, 1727, 2428, 3605, 5161, 5233, 6304, 7611, 504, 1192, 2940, 3536, 5091, 5587, 6304, 7521, 678, 1385, 2794, 3513, 4787, 5480, 6989, 7535, 386, 1633, 2439, 3427, 4720, 5235, 7147, 8100, 1024, 1831, 2271, 3736, 4912, 5990, 7211, 8209, 1024, 1269, 2940, 3530, 4589, 5846, 7047, 8126, 547, 1633, 3080, 3188, 5153, 5697, 6560, 7337, 938, 1331, 2515, 4145, 4782, 5245, 6393, 7908, 862, 1826, 2897, 3642, 4802, 6002, 7195, 7996, 862, 2102, 2897, 3298, 4807, 6043, 6367, 8140, 381, 1570, 2796, 3658, 4541, 5958, 6675, 7971, 1080, 1438, 2710, 3651, 4539, 5415, 6899, 7859, 862, 2099, 3080, 3957, 4413, 5224, 6787, 7597, 234, 1820, 2332, 3329, 4613, 5950, 6732, 7627, 504, 1938, 2678, 4126, 4291, 6118, 7031, 7297, 1014, 1915, 2469, 3187, 4411, 5770, 6820, 7934, 654, 1540, 2181, 3588, 4836, 5276, 6704, 7602, 127, 2078, 2562, 4145, 5167, 5413, 6225, 7881, 518, 1300, 2156, 3767, 4344, 5459, 6646, 7706, 518, 1440, 2803, 3995, 4398, 5767, 7168, 8130, 317, 1564, 2904, 3376, 4720, 6135, 7198, 7649, 183, 1564, 2156, 3394, 4801, 5219, 7000, 7494, 223, 1876, 2794, 3470, 4382, 5378, 6677, 8017, 1045, 1141, 2152, 3605, 4920, 5658, 6565, 7757, 632, 1141, 2502, 3605, 4459, 5982, 6905, 7810, 668, 1674, 2890, 3937, 5026, 5615, 6884, 7852, 668, 1637, 2163, 4120, 5022, 6135, 6354, 7442, 1024, 1674, 2940, 3233, 4184, 5863, 6254, 8149, 1024, 2008, 2440, 3245, 4727, 5441, 7043, 7494, 386, 1268, 2387, 3917, 5138, 5899, 6612, 7313, 779, 1670, 2766, 3937, 4630, 5730, 6239, 7355, 223, 1763, 2946, 3352, 4901, 6063, 7019, 7959, 504, 1637, 2298, 3231, 5139, 6123, 7094, 7570, 643, 1388, 2923, 3692, 5160, 6181, 6393, 8227, 731, 2059, 2945, 4145, 4774, 6222, 6687, 7676, 223, 1655, 2568, 4082, 4790, 5894, 6463, 7524, 716, 1562, 2868, 3604, 4319, 6070, 7207, 7549, 685, 1141, 2568, 3937, 4667, 5504, 6536, 8129, 1025, 1797, 2794, 3511, 4935, 5641, 6535, 7515, 223, 1834, 2436, 3656, 4376, 5684, 7114, 8209, 1023, 1283, 3066, 3978, 4434, 5474, 6916, 7442, 326, 1808, 3032, 3376, 4485, 5643, 7219, 7983, 536, 1938, 2923, 3222, 4804, 5313, 6962, 7541, 988, 2061, 2312, 3915, 4467, 5651, 6965, 7936, 880, 1421, 2282, 3580, 4861, 5454, 6747, 8085, 876, 1126, 3029, 3759, 4595, 5347, 6965, 7311, 662, 1397, 2415, 3599, 4985, 5810, 6254, 7728, 884, 1732, 2214, 3850, 4855, 5613, 6592, 7490, 1084, 1536, 3124, 3796, 5137, 5574, 6970, 7578, 952, 1942, 2608, 3896, 4985, 5794, 6614, 7683, 495, 1397, 2855, 3356, 4214, 5640, 6486, 7809, 995, 1640, 2336, 3749, 4801, 6107, 6592, 8244, 495, 1120, 2751, 3356, 5134, 5547, 7033, 7972, 103, 1175, 2942, 3820, 4606, 5755, 6566, 7578, 620, 1397, 2552, 3304, 4772, 6217, 6578, 7980, 981, 1732, 2697, 3165, 4594, 5325, 6767, 7873, 981, 1112, 3006, 4035, 4606, 5509, 7044, 7652, 1024, 2106, 3029, 3733, 4954, 6114, 7091, 8029, 1024, 1958, 2976, 3700, 4995, 6199, 6244, 7664, 103, 1441, 2818, 3751, 4334, 5391, 6941, 7423, 981, 1561, 3029, 3733, 4606, 5911, 7019, 7288, 981, 1372, 2552, 3525, 4995, 5811, 7079, 7873, 103, 1369, 2629, 3352, 5040, 5751, 6754, 7678, 103, 1562, 2783, 3751, 4918, 5378, 7152, 7424, 1097, 1992, 3021, 3231, 5160, 5694, 7232, 7948, 956, 1623, 2949, 3886, 4681, 6128, 6734, 8076, 818, 1528, 2946, 4114, 5080, 5705, 7006, 8080, 186, 1992, 3007, 3367, 4980, 6186, 7207, 8260, 818, 1992, 2746, 3893, 4681, 6085, 7201, 8260, 818, 1528, 3117, 3710, 5080, 5586, 6515, 8260, 555, 1147, 3095, 4145, 4870, 5550, 7207, 8260, 555, 1750, 2833, 3771, 4704, 6186, 6688, 8261, 555, 1623, 2833, 4153, 5038, 5981, 6688, 8076, 555, 1648, 3021, 3891, 4512, 5635, 7077, 8196, 555, 1648, 2164, 3374, 5159, 5385, 6996, 8147, 915, 1622, 2164, 3914, 4622, 5550, 7124, 7723, 555, 1648, 2775, 4171, 5166, 6182, 6677, 8196, 555, 1648, 2775, 4171, 5166, 6186, 6677, 7766, 4, 2 ]

[ 1, 31, 16, 5, 41, 39, 67, 41, 16, 52, 5, 28, 48, 64, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4704, 6081, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 488, 1528, 2806, 3367, 4798, 6081, 7124, 7766, 1015, 1869, 2881, 4170, 4828, 5968, 6614, 7557, 223, 1171, 2971, 3649, 4867, 5924, 7069, 7476, 247, 1143, 2497, 4130, 4818, 5404, 6453, 7367, 994, 2048, 2163, 3869, 4364, 6204, 6293, 7463, 895, 1903, 2154, 4130, 5127, 5929, 6730, 7858, 715, 2060, 2534, 3793, 4716, 5999, 6615, 7453, 518, 2030, 2271, 3951, 4895, 5995, 7084, 8081, 901, 2030, 2585, 3487, 5120, 5210, 6959, 7508, 256, 1874, 2473, 4153, 4512, 6110, 6830, 7677, 878, 2030, 2899, 3740, 5129, 5550, 6781, 7863, 256, 2030, 2746, 3595, 4859, 6051, 6604, 8061, 256, 2000, 2473, 3188, 4179, 5890, 6966, 7918, 518, 2073, 2970, 4026, 4398, 5385, 6607, 7557, 541, 2030, 2544, 3680, 5120, 6204, 6852, 8093, 153, 1826, 2783, 3226, 4549, 5350, 6921, 7263, 166, 1421, 2950, 3427, 4179, 5613, 6373, 7873, 1023, 1302, 2487, 3213, 5032, 5300, 6612, 7973, 363, 1550, 2292, 3270, 4346, 5863, 7224, 7954, 487, 1691, 2311, 3421, 4428, 6194, 6779, 7438, 986, 1548, 2311, 3848, 4539, 5262, 7012, 7702, 613, 1834, 2311, 4049, 4921, 6201, 6601, 7846, 160, 1164, 2254, 3623, 5139, 6069, 6259, 7770, 216, 1768, 2669, 3307, 4326, 5844, 6611, 8066, 288, 1467, 2151, 3842, 5138, 5981, 7086, 7270, 256, 2000, 2473, 3602, 4536, 5548, 6613, 7919, 256, 2060, 2468, 3891, 4592, 5372, 6840, 7527, 256, 2030, 3064, 3226, 4782, 5968, 7160, 7563, 789, 2106, 2473, 3407, 4512, 5719, 7168, 8126, 256, 2073, 2729, 3922, 5080, 6110, 7218, 8061, 617, 2073, 3026, 3886, 5193, 5534, 7129, 8185, 171, 2106, 3065, 3932, 5165, 5514, 6715, 7723, 967, 2073, 2542, 3364, 4287, 5515, 7201, 8236, 1015, 1468, 3084, 3671, 4398, 5573, 7120, 8106, 1015, 1468, 3147, 3681, 5103, 5805, 6565, 7703, 132, 1304, 2781, 3391, 4992, 6195, 7132, 7908, 110, 1173, 2554, 3783, 4374, 6026, 7091, 8078, 408, 1469, 2144, 3484, 4981, 5534, 6679, 7484, 864, 1236, 3040, 3876, 4238, 5525, 7194, 7873, 1008, 1315, 2137, 4084, 4722, 5606, 6957, 8172, 391, 1251, 2869, 3729, 4996, 6037, 7114, 7549, 948, 1912, 2860, 4075, 4755, 5262, 6840, 7840, 959, 1499, 3147, 3564, 5020, 5807, 6646, 7927, 304, 1777, 3112, 3891, 4215, 5767, 7230, 7768, 684, 1494, 2924, 3352, 5060, 5359, 7090, 7948, 390, 2063, 2947, 3602, 5061, 6051, 6566, 7706, 804, 1675, 2895, 4114, 5159, 6051, 7132, 7806, 613, 1817, 2975, 3975, 4387, 5361, 7218, 7349, 840, 2059, 2638, 3999, 4484, 5771, 6901, 7485, 528, 1826, 2490, 4096, 4959, 5396, 6976, 8061, 314, 1806, 2923, 3642, 4298, 6118, 7224, 8238, 443, 1550, 3029, 4172, 5179, 5435, 6840, 7702, 986, 1692, 3029, 4103, 4996, 6154, 6708, 8212, 807, 1935, 2923, 3936, 4945, 6066, 6601, 7318, 582, 2063, 2610, 3395, 4298, 5810, 6809, 8151, 424, 1674, 2751, 3776, 5135, 5899, 7152, 7355, 610, 1876, 2957, 3870, 4364, 5899, 6237, 7973, 103, 1797, 2867, 4067, 4945, 5378, 7017, 8126, 756, 2000, 2912, 4096, 4611, 6181, 6254, 8078, 256, 1116, 2432, 3470, 4493, 6119, 6565, 7279, 225, 1112, 2792, 4078, 4890, 5493, 6918, 7743, 225, 1570, 2432, 3819, 4379, 5613, 6903, 7303, 225, 2052, 2156, 3394, 4681, 5865, 7114, 8066, 228, 2034, 2659, 3394, 4870, 5892, 6584, 7477, 228, 1684, 2221, 4125, 5083, 5840, 7090, 8179, 240, 1750, 2554, 3914, 4870, 5550, 6612, 8179, 789, 1750, 2914, 3595, 4398, 6110, 6810, 8185, 789, 1750, 2806, 3595, 4398, 5705, 6996, 8196, 419, 1851, 2806, 3914, 4638, 5963, 7232, 7723, 518, 1645, 3147, 3407, 4512, 5436, 6810, 7671, 183, 1248, 2542, 3827, 4214, 5963, 7100, 7563, 617, 1695, 3046, 4145, 5193, 5811, 6889, 8164, 555, 1684, 2970, 4166, 5120, 6139, 7090, 8076, 488, 2017, 3117, 3367, 4870, 5963, 7207, 8126, 860, 2017, 2914, 3825, 4704, 6139, 7077, 7766, 860, 1528, 2806, 3825, 4624, 6139, 7226, 8223, 201, 1528, 2914, 3825, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 43, 73, 5, 63, 34, 62, 63, 16, 78, 33, 54, 66, 16, 30, 5, 31, 32, 53, 64, 33, 52, 75, 78, 5, 14, 78, 5, 31, 16, 5, 30, 44, 64, 33, 54, 30, 16, 54, 66, 64, 5, 17, 75, 5, 31, 16, 5, 53, 77, 74, 66, 44, 54, 45, 63, 78, 5, 17, 75, 5, 31, 16, 5, 28, 23, 54, 66, 47, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6081, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 555, 1648, 2947, 4145, 4798, 5635, 7077, 7664, 475, 2065, 2582, 3307, 4782, 5892, 7160, 7557, 731, 1560, 3144, 3826, 5088, 6171, 7120, 7778, 392, 1399, 2655, 3317, 4482, 5893, 6293, 7859, 1033, 1269, 2700, 3975, 4751, 5762, 7182, 7547, 1033, 1721, 2944, 4139, 4896, 5376, 6507, 7657, 299, 1858, 2847, 3394, 5142, 5422, 7010, 7728, 536, 1499, 2241, 3987, 4993, 5567, 6240, 8244, 887, 1388, 2210, 3728, 4380, 5456, 7157, 7303, 887, 1388, 2939, 3516, 4307, 5731, 7201, 7716, 776, 2084, 2261, 3498, 5180, 6138, 6953, 8227, 113, 1915, 2222, 3586, 5098, 5841, 7017, 7898, 1057, 2048, 2892, 3487, 5130, 6007, 6982, 7428, 826, 1239, 2254, 3782, 5144, 5338, 7052, 7920, 993, 2048, 2905, 3273, 4878, 5323, 6237, 7528, 535, 1453, 2358, 3792, 4244, 5280, 6728, 8270, 664, 1586, 2716, 3936, 4450, 6113, 6309, 7293, 664, 2059, 3101, 3469, 4364, 6052, 6734, 7628, 804, 1730, 2975, 3886, 4622, 5778, 6286, 8066, 1097, 1791, 3021, 3188, 4191, 6063, 7023, 8076, 956, 1664, 2936, 3983, 5098, 6205, 7120, 7941, 510, 2064, 3135, 4114, 4681, 5868, 7023, 8107, 1056, 1534, 2925, 3226, 5104, 6025, 6786, 7664, 914, 1620, 2340, 3982, 5038, 5694, 7132, 7876, 541, 1895, 3137, 3375, 4541, 6063, 7017, 8068, 731, 1141, 2345, 3570, 4855, 6050, 6286, 8036, 948, 1234, 3026, 4004, 4720, 5354, 6280, 7467, 1024, 1627, 2239, 3570, 4211, 5549, 7230, 7771, 528, 1510, 2190, 3232, 4673, 5926, 6592, 7808, 807, 1724, 3013, 3581, 4498, 6194, 6251, 8193, 160, 1570, 2923, 3843, 5146, 5345, 6859, 7828, 1020, 1125, 2748, 3790, 4386, 5605, 6781, 7819, 225, 1146, 2976, 3955, 4945, 5490, 6738, 7442, 195, 1540, 2316, 3674, 4804, 5625, 6889, 7873, 1014, 2002, 2335, 3999, 4381, 6000, 6603, 8230, 195, 1809, 2783, 3298, 5053, 6135, 6348, 7448, 448, 1458, 2725, 3666, 5115, 5558, 7201, 7677, 807, 1335, 2871, 3566, 4935, 5742, 6438, 8074, 994, 1708, 2953, 3331, 4492, 5898, 6456, 7804, 737, 1349, 2748, 3924, 4539, 5870, 6619, 8061, 737, 1349, 2748, 3794, 4665, 5373, 6706, 7855, 672, 1490, 2332, 3480, 4992, 5585, 6658, 7873, 1067, 1283, 2677, 3736, 5042, 5615, 6540, 8117, 778, 1496, 2902, 3824, 4371, 5678, 6532, 8006, 887, 1227, 3033, 3975, 4185, 5767, 6680, 8236, 104, 1496, 2330, 4067, 4651, 5871, 6542, 7720, 1062, 1708, 2856, 3370, 5125, 6195, 6484, 7865, 952, 1248, 2203, 3669, 5042, 5474, 6571, 8069, 881, 1349, 2348, 3789, 4707, 5323, 6840, 8078, 465, 1832, 2455, 3261, 4452, 5722, 6442, 7696, 807, 1346, 2848, 4143, 4229, 5749, 6669, 7547, 465, 1171, 2455, 3908, 4364, 5656, 6565, 7942, 1081, 1171, 3080, 4151, 4918, 6118, 6525, 7727, 684, 1754, 2163, 3393, 5166, 6129, 6393, 8236, 304, 1754, 3092, 4166, 5092, 5438, 7160, 7341, 304, 1721, 2340, 3901, 5145, 5216, 7149, 8093, 390, 1682, 2833, 3710, 4387, 6146, 6871, 8093, 390, 2063, 2991, 3917, 5164, 5590, 7157, 7631, 1040, 2059, 2703, 3702, 4588, 5671, 6528, 7840, 443, 2059, 2751, 3770, 5110, 5979, 6488, 7822, 462, 1557, 3130, 4007, 5031, 6220, 6883, 7558, 462, 1299, 2134, 3394, 4818, 5512, 6978, 7779, 104, 1463, 2207, 3789, 4755, 6217, 6309, 7682, 1025, 1858, 2582, 3195, 4983, 5675, 6240, 8268, 1025, 1858, 3145, 3430, 4334, 5836, 6465, 8093, 1025, 1296, 2661, 4027, 4455, 5204, 6884, 7584, 1025, 1918, 2737, 3410, 4385, 6083, 6262, 7717, 1025, 1867, 2436, 3901, 4896, 5586, 6256, 7400, 211, 1463, 2970, 4174, 4287, 6131, 7098, 8047, 874, 1139, 2677, 3235, 4411, 5893, 6563, 8128, 225, 1570, 2791, 3518, 4423, 5436, 6856, 7538, 654, 1452, 2554, 3790, 4630, 5765, 7232, 8130, 654, 1749, 3000, 4166, 4398, 5223, 7017, 8130, 195, 1196, 3064, 3798, 4315, 5874, 6938, 8102, 518, 1529, 3033, 3983, 4855, 6051, 6844, 8080, 256, 1304, 2944, 3900, 4673, 5493, 6612, 7303, 356, 2111, 2596, 3975, 4664, 6204, 6752, 7752, 840, 1755, 2709, 3957, 4861, 6135, 6965, 7883, 458, 2009, 2867, 3434, 4595, 6041, 6789, 8058, 664, 2009, 2487, 3421, 5110, 6039, 7222, 8225, 664, 2069, 2751, 3765, 5022, 5984, 6442, 7491, 702, 1283, 2974, 3774, 4321, 6005, 6328, 8081, 480, 1510, 2346, 3259, 4242, 5783, 6717, 7954, 326, 1849, 2346, 3720, 4205, 5557, 6775, 7529, 668, 1653, 3055, 3936, 4561, 6180, 6244, 8197, 862, 1653, 2260, 3306, 4664, 5480, 6316, 7277, 1067, 2059, 2751, 3992, 4365, 5466, 6441, 7510, 840, 2059, 2751, 3356, 4919, 5615, 6769, 7785, 692, 1706, 2727, 3704, 4440, 5512, 6883, 7905, 113, 1740, 2615, 3210, 4800, 5885, 6663, 8045, 803, 2059, 2482, 3475, 4604, 6198, 6563, 7622, 344, 1581, 3029, 3290, 4688, 5398, 6484, 7628, 277, 1786, 2536, 3635, 4209, 5339, 6783, 7980, 895, 1244, 2175, 4147, 5110, 5729, 6526, 7606, 1005, 1770, 2175, 3929, 4818, 5264, 6581, 8045, 610, 1141, 2149, 3981, 4215, 5366, 7240, 7842, 1084, 1141, 2974, 3917, 5127, 5378, 6579, 8045, 309, 2059, 2312, 3321, 4801, 6076, 6870, 8117, 901, 1821, 2163, 3582, 4321, 6057, 6579, 8099, 225, 1724, 2559, 3967, 5047, 5504, 7078, 7618, 518, 1801, 2175, 3844, 4636, 5865, 7063, 7992, 518, 1524, 2724, 3555, 4399, 5767, 6899, 8262, 228, 2111, 2718, 3879, 5138, 5844, 6376, 7865, 419, 1684, 2946, 3550, 5079, 5963, 7188, 7303, 818, 2017, 2833, 4114, 4782, 5296, 7120, 7865, 818, 2111, 3006, 3188, 5060, 5534, 7168, 8237, 915, 1622, 3117, 3914, 4555, 5612, 6338, 7806, 555, 1684, 2970, 3891, 4512, 5438, 6604, 7476, 859, 1490, 3064, 3277, 4512, 5901, 7120, 8223, 859, 1490, 2554, 4068, 4870, 5811, 7152, 8061, 617, 1695, 2340, 3487, 4762, 5385, 6439, 7907, 617, 2106, 2941, 3596, 5190, 5963, 7098, 7716, 105, 2106, 2941, 3391, 5190, 5514, 6575, 8237, 617, 1876, 2596, 3770, 4790, 5550, 6809, 8236, 337, 1623, 3021, 3413, 4423, 5385, 6749, 8077, 945, 1528, 2833, 4071, 5060, 5892, 6794, 7717, 860, 2017, 2806, 3825, 4704, 5892, 6794, 8147, 488, 1622, 3065, 3893, 4624, 5241, 7077, 8223, 789, 2106, 2593, 4078, 4611, 5811, 7079, 8080, 722, 1510, 2316, 3413, 4762, 5369, 7048, 8085, 502, 1397, 2355, 3900, 5188, 5852, 7043, 7604, 983, 2008, 2316, 3888, 5156, 5263, 6520, 7618, 161, 2008, 2346, 3394, 4604, 6119, 6290, 7386, 161, 2008, 2593, 3936, 5188, 6044, 6903, 7386, 249, 1472, 3030, 3171, 4278, 6135, 6883, 7532, 247, 1472, 2593, 4009, 4226, 5719, 6413, 7634, 399, 1794, 3029, 3394, 4363, 6135, 6244, 8149, 993, 1871, 3029, 3448, 4855, 6135, 6267, 8004, 913, 1828, 2435, 3900, 5074, 5396, 7090, 7487, 518, 1978, 2871, 3493, 4604, 5519, 6732, 8069, 127, 1286, 2904, 3541, 5079, 5918, 6755, 7652, 440, 1540, 2429, 3516, 5167, 5627, 6810, 7711, 153, 1491, 2303, 3949, 4727, 6001, 7222, 7574, 899, 1998, 2432, 3932, 5096, 5705, 7024, 7410, 899, 1998, 2278, 3918, 4890, 5677, 7149, 8066, 405, 1386, 2432, 3982, 4954, 5892, 6507, 7764, 216, 1981, 2980, 3643, 4777, 6050, 6630, 7723, 668, 1509, 2486, 3973, 4896, 6169, 6978, 7438, 632, 1826, 2724, 3224, 4848, 5510, 6760, 7873, 1023, 1826, 2724, 3279, 4417, 5880, 6403, 7519, 645, 1826, 3149, 3662, 4910, 6119, 6919, 7513, 512, 1754, 3064, 4085, 4179, 5436, 6884, 8267, 512, 2046, 2724, 3540, 5129, 5586, 6648, 8083, 512, 2111, 2520, 4071, 5104, 6205, 6830, 8267, 308, 1467, 2957, 4108, 5061, 6195, 7090, 7557, 788, 1633, 2254, 3517, 4764, 5810, 6809, 8118, 582, 1441, 2724, 3333, 4734, 5354, 7095, 7960, 668, 1284, 2332, 3500, 4386, 6178, 6808, 7761, 1036, 1938, 3119, 3331, 4848, 5380, 7114, 7966, 234, 1637, 2349, 4128, 4711, 5552, 6672, 8067, 568, 1630, 2332, 3392, 4973, 5684, 6861, 8060, 654, 1525, 2609, 3352, 4955, 5601, 6302, 7673, 654, 1452, 2132, 3819, 4971, 5389, 7004, 8070, 195, 1917, 2190, 3769, 4954, 6157, 6858, 7669, 518, 2067, 2925, 4085, 4344, 5413, 7006, 8213, 240, 1249, 2860, 3646, 5163, 5677, 6889, 7557, 195, 1750, 2659, 3332, 4180, 5861, 6483, 7355, 195, 1750, 3091, 3320, 5138, 5767, 6909, 8102, 518, 1992, 2875, 3933, 4326, 5289, 6265, 7965, 256, 2078, 2754, 3592, 4344, 5832, 6776, 8266, 722, 1672, 2701, 3905, 4776, 5677, 7111, 7778, 642, 2120, 2172, 3905, 4275, 6135, 6299, 7983, 402, 1805, 2544, 4138, 4876, 5886, 7094, 8263, 829, 1695, 2692, 3354, 5050, 5824, 6834, 7559, 1098, 1120, 2172, 3313, 4760, 5490, 7106, 7248, 391, 1776, 2629, 4153, 5135, 5715, 6509, 7494, 767, 1284, 2741, 3615, 4392, 6080, 6354, 7547, 731, 2081, 2741, 3692, 4691, 6131, 7222, 8146, 386, 1717, 2807, 3530, 4635, 5548, 6254, 7971, 650, 1250, 2241, 3452, 4902, 6070, 6818, 8112, 610, 2048, 3101, 3233, 4801, 5500, 7051, 7397, 1090, 1978, 2970, 3233, 4626, 5749, 6708, 7827, 663, 1489, 2783, 3233, 5164, 5650, 6752, 8126, 955, 1171, 2944, 4162, 4387, 5550, 6604, 7918, 1057, 1171, 2867, 4130, 4494, 5474, 6917, 7654, 547, 1510, 2867, 3576, 4441, 5898, 6443, 7531, 569, 1510, 2867, 3741, 4876, 5761, 7135, 8020, 1003, 1369, 2156, 3941, 4556, 5408, 7057, 7618, 1057, 2095, 2867, 3771, 4364, 6119, 7103, 7447, 1090, 1315, 3080, 3714, 4784, 6002, 7163, 7913, 826, 1676, 2436, 3233, 5145, 6002, 6622, 7799, 778, 1721, 2750, 3962, 4804, 6215, 7207, 8195, 887, 2036, 2429, 3901, 4575, 5536, 6241, 8236, 887, 1299, 2661, 3776, 4179, 5260, 7004, 7717, 401, 1893, 2520, 3582, 4536, 6205, 6566, 7457, 240, 1998, 2975, 3470, 5150, 5436, 7063, 8164, 127, 1700, 3059, 3798, 4716, 5296, 6789, 7248, 654, 1112, 2282, 3592, 4247, 5677, 7095, 7477, 654, 1700, 3147, 3592, 4601, 5413, 7207, 7716, 518, 2000, 3133, 3955, 4344, 5795, 6338, 8016, 195, 2111, 2904, 3788, 5120, 5795, 6657, 7498, 568, 1935, 2529, 4078, 4398, 6110, 6931, 7782, 105, 2118, 3147, 3873, 5079, 5963, 7086, 7976, 211, 1340, 2729, 3245, 4513, 5904, 6889, 8076, 1064, 1369, 2953, 4061, 5115, 5664, 6889, 7542, 472, 1507, 2847, 3939, 4927, 5307, 6626, 7801, 360, 1151, 3091, 3236, 4239, 6142, 6293, 7758, 360, 1550, 2667, 3202, 4235, 5599, 6668, 8177, 271, 1972, 2137, 3223, 5017, 6135, 6520, 7490, 390, 1415, 2282, 3237, 5098, 6180, 6758, 7598, 1056, 1919, 2925, 4067, 4256, 6025, 7168, 8179, 440, 1966, 2802, 3982, 4993, 6119, 6810, 8082, 1090, 2012, 2324, 3271, 5138, 5575, 6597, 8107, 610, 1986, 2335, 3755, 4215, 6000, 6388, 7563, 1057, 1458, 2139, 3384, 5128, 5903, 6884, 8140, 840, 1828, 2933, 3649, 4830, 5787, 6497, 8174, 1067, 1531, 2842, 3764, 4887, 5686, 6348, 7369, 1025, 1370, 2207, 3509, 4927, 5379, 6840, 7687, 1025, 1717, 2401, 3928, 4419, 5818, 6694, 8154, 1025, 1831, 2783, 3392, 4813, 5641, 6338, 7490, 223, 1858, 2661, 4101, 4179, 5573, 6830, 7821, 650, 1893, 2661, 3956, 4376, 5204, 7168, 7687, 752, 2001, 2298, 3873, 4588, 5605, 6410, 7976, 1033, 1777, 2440, 3369, 4470, 5767, 6776, 8080, 731, 1363, 2440, 3929, 4852, 6131, 6810, 8141, 761, 1397, 2703, 3762, 4720, 6002, 6760, 7383, 986, 1164, 2387, 3254, 4804, 5643, 7188, 7957, 545, 1268, 2595, 3695, 4953, 5982, 6354, 7800, 613, 1550, 3074, 3298, 4983, 5863, 6816, 7973, 448, 1806, 2436, 3986, 4677, 5863, 6592, 8206, 731, 2091, 2867, 3723, 4764, 6097, 6584, 8240, 767, 1826, 2254, 3756, 4212, 5573, 7149, 7677, 779, 1992, 3053, 4005, 5138, 5954, 6876, 7776, 684, 1797, 2803, 4145, 4918, 5294, 7010, 7715, 1099, 2000, 2833, 3866, 5106, 6051, 7120, 7260, 915, 2017, 3043, 3866, 4782, 5635, 7201, 7949, 1099, 1648, 3006, 3990, 5058, 6195, 7207, 8185, 555, 1869, 3095, 4018, 5165, 6211, 7077, 7715, 555, 2000, 2991, 4145, 4374, 5219, 6996, 7641, 512, 2073, 2957, 3188, 5104, 6129, 7201, 8237, 767, 1668, 2924, 4098, 5058, 5883, 7160, 8237, 335, 1982, 2895, 3973, 4191, 5663, 7010, 8047, 938, 1829, 2563, 3530, 4813, 5641, 7163, 8078, 271, 1110, 2741, 3209, 4536, 5314, 6809, 8189, 504, 1637, 2602, 3975, 5124, 5344, 7065, 7706, 731, 1778, 2282, 3740, 4791, 6131, 6571, 8266, 223, 1167, 2265, 4078, 4954, 5978, 6579, 7702, 1023, 1363, 2383, 4128, 5169, 5845, 6560, 7313, 986, 1834, 2659, 3997, 4804, 5656, 7174, 7927, 545, 2009, 2142, 3472, 4539, 5266, 6872, 7759, 807, 1543, 3116, 3425, 4543, 6213, 6746, 7442, 487, 1771, 2678, 3425, 4225, 5424, 7017, 7442, 487, 2008, 2701, 3770, 4231, 5976, 7229, 7488, 993, 1708, 2601, 4038, 5110, 5454, 6532, 7311, 545, 2117, 2378, 3603, 4448, 5224, 6991, 7261, 487, 1561, 2677, 4085, 4604, 6217, 7038, 8266, 938, 1397, 2242, 3562, 4682, 5609, 7126, 7440, 930, 1541, 2610, 3812, 4981, 5325, 7224, 7528, 913, 1586, 2520, 3692, 4985, 5512, 6670, 7815, 1005, 1821, 2918, 3231, 5031, 5228, 6388, 8188, 1084, 1539, 2990, 3771, 5134, 5775, 7064, 8270, 1038, 1494, 3056, 3434, 5052, 5228, 6611, 8117, 1084, 1545, 2142, 3468, 4321, 6005, 7049, 7737, 113, 1636, 2740, 3967, 4620, 5824, 7247, 7702, 487, 1324, 2156, 3423, 5075, 5461, 7154, 7810, 620, 1397, 2741, 4073, 4959, 5939, 6315, 7978, 876, 1326, 3033, 4083, 4586, 5640, 6603, 8186, 992, 1494, 2156, 3605, 4275, 6015, 6746, 8189, 1038, 1494, 2156, 3788, 4800, 5550, 6884, 7761, 613, 2055, 2156, 3399, 4352, 6044, 6873, 7677, 576, 1202, 2497, 3765, 4412, 6125, 7009, 7534, 576, 1821, 2725, 3798, 5111, 5835, 6348, 8262, 228, 1724, 2987, 3671, 4755, 5650, 7047, 8199, 654, 1345, 3026, 3574, 4923, 6123, 6598, 7435, 518, 1756, 2359, 3706, 5048, 5413, 6500, 8132, 240, 2064, 2554, 3272, 5135, 5624, 7201, 7716, 419, 1528, 2221, 3391, 4870, 6157, 7232, 8126, 956, 1620, 2833, 4011, 5135, 5678, 7084, 7716, 818, 2017, 3110, 3595, 4798, 6211, 6338, 8147, 818, 1528, 3117, 3367, 5106, 5892, 6752, 7865, 555, 2017, 2914, 3893, 4387, 5767, 6338, 7641, 859, 2127, 2970, 3914, 4870, 6205, 7077, 7485, 859, 2127, 3147, 4068, 4624, 6205, 6584, 7865, 859, 1695, 2971, 4071, 5166, 5981, 6840, 7716, 617, 1684, 3064, 4166, 4555, 6149, 7091, 8261, 617, 2106, 2370, 3374, 5159, 5246, 6889, 7303, 105, 2106, 2370, 3832, 4387, 6101, 6895, 7715, 617, 1750, 2370, 3374, 5138, 5580, 6752, 7303, 105, 2106, 2370, 3891, 5160, 5901, 6453, 7303, 859, 2111, 2941, 4006, 4681, 5438, 6772, 8261, 859, 2127, 2833, 3374, 4399, 6149, 6562, 7887, 859, 2065, 2970, 4174, 4555, 5811, 6604, 7643, 859, 1332, 3065, 3217, 4214, 5385, 7207, 8237, 555, 2111, 2970, 3391, 4583, 5635, 7152, 7643, 555, 1750, 3021, 4153, 4179, 5942, 6589, 7485, 552, 1750, 2970, 4153, 4985, 6182, 6688, 7753, 186, 2032, 2833, 4071, 4681, 5241, 6988, 8126, 488, 2111, 2806, 4171, 5060, 5901, 6794, 8223, 488, 1528, 2806, 3891, 5060, 6139, 7124, 8196, 142, 1528, 2806, 3825, 4624, 5241, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 789, 2097, 2970, 4011, 4398, 5612, 7239, 7723, 831, 2060, 3003, 3171, 5127, 5684, 6540, 7383, 619, 1199, 3037, 3496, 4855, 5401, 6224, 7951, 604, 1873, 2409, 3835, 4982, 5685, 7021, 7810, 1067, 1898, 2173, 3351, 4823, 6096, 6887, 8271, 1071, 1825, 2173, 3623, 4212, 5946, 6528, 8143, 1033, 1943, 2282, 3468, 4765, 5500, 6722, 7607, 955, 2083, 2701, 3516, 4367, 5900, 6373, 8069, 211, 1791, 2473, 4005, 4782, 5892, 6604, 8107, 1094, 1724, 2818, 4094, 4925, 5477, 7078, 7842, 390, 1851, 2187, 3380, 4852, 6205, 6668, 8016, 390, 2073, 2895, 3226, 4554, 5436, 6254, 7804, 942, 1141, 3101, 4135, 5110, 5497, 6852, 7689, 1023, 1830, 3037, 3245, 4755, 5691, 6413, 7855, 781, 1531, 2748, 3600, 4247, 5996, 6772, 7312, 1101, 2050, 2733, 4055, 4882, 6093, 6663, 7498, 211, 1250, 2137, 4005, 4415, 5687, 6273, 7503, 684, 1867, 2677, 4068, 4980, 5635, 6774, 8066, 684, 1620, 3038, 4011, 4822, 5378, 7201, 7386, 804, 1660, 2838, 4071, 4912, 5883, 6752, 8267, 512, 1919, 2340, 3990, 4888, 5661, 6918, 8147, 308, 1963, 2746, 4018, 4822, 5968, 6809, 7641, 886, 1635, 2720, 3692, 4387, 5671, 6550, 7808, 249, 1294, 2137, 3250, 4545, 5500, 6237, 7902, 602, 1151, 2185, 4072, 4285, 5361, 6419, 8140, 161, 1296, 3040, 3790, 4742, 6135, 7173, 7763, 247, 1604, 2894, 3968, 4457, 5345, 7183, 8254, 668, 1337, 3029, 3601, 5031, 5314, 6897, 7615, 895, 2059, 2140, 3464, 5152, 5745, 6611, 7673, 1024, 1157, 2336, 3623, 4800, 5376, 6626, 8240, 831, 1778, 2584, 3928, 4776, 5390, 6396, 8097, 641, 1455, 2655, 3855, 4588, 5555, 7179, 7792, 970, 1269, 2396, 3413, 4609, 5905, 7210, 7971, 510, 1931, 3008, 4145, 5145, 5899, 6566, 7260, 833, 2068, 3150, 4068, 4558, 6007, 7084, 7717, 153, 2125, 2709, 4017, 4993, 6146, 7045, 7686, 272, 1510, 2791, 3424, 5162, 5631, 6951, 7666, 756, 1510, 2953, 3601, 4801, 5324, 7150, 7445, 844, 1653, 2147, 3304, 4776, 6073, 6869, 7473, 995, 2053, 2327, 3692, 5134, 5512, 6563, 8254, 807, 1649, 2514, 3988, 4644, 5924, 6651, 7555, 1080, 1706, 3029, 3764, 4878, 6159, 6333, 7313, 995, 1640, 2885, 3485, 4606, 5565, 7139, 8099, 495, 1706, 2751, 3508, 4753, 5577, 6910, 7684, 103, 1704, 2566, 3231, 5020, 5530, 6410, 7881, 545, 1886, 2885, 3939, 4364, 5754, 7031, 7501, 103, 1956, 2751, 3235, 4635, 6208, 7129, 7705, 103, 1880, 2800, 3756, 4996, 5671, 6856, 7878, 678, 1112, 2370, 3353, 4573, 5825, 6995, 7317, 951, 1112, 3126, 3857, 4996, 5868, 7111, 8061, 510, 1186, 3098, 3838, 4595, 5650, 7223, 7313, 1099, 1623, 3021, 4114, 4912, 5832, 7152, 7717, 818, 1147, 3008, 3886, 4888, 5981, 7124, 8260, 818, 2064, 3110, 3803, 4583, 6195, 7239, 8179, 818, 1992, 2914, 3866, 4681, 6081, 6794, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7077, 8260, 818, 1648, 2806, 3827, 4704, 6139, 7239, 8260, 915, 1622, 3021, 3914, 4870, 5892, 7077, 8267, 555, 1750, 3021, 4071, 4870, 5635, 7201, 8196, 915, 1684, 3021, 3825, 5157, 6139, 6709, 8093, 915, 1684, 3021, 3825, 5157, 6139, 6752, 8126, 555, 1648, 2833, 4153, 4622, 5635, 7077, 8083, 915, 2111, 3021, 3825, 4624, 5635, 6996, 8147, 915, 1876, 2970, 3891, 4890, 6137, 6515, 8196, 915, 1528, 3021, 3914, 4870, 5550, 7129, 7723, 915, 1622, 3021, 3914, 4870, 5892, 6794, 8196, 915, 1622, 2833, 3914, 4624, 5550, 7207, 7766, 915, 1622, 3021, 3914, 4870, 5241, 7124, 8126, 915, 2017, 2833, 3914, 4624, 6186, 7124, 8126, 915, 2017, 3021, 3893, 4870, 5635, 6589, 8196, 915, 2111, 2164, 3914, 4798, 6137, 6794, 7664, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 4, 2 ]

[ 1, 26, 5, 64, 33, 54, 66, 5, 23, 66, 5, 62, 11, 63, 66, 47, 78, 5, 44, 54, 5, 64, 36, 29, 5, 17, 75, 5, 64, 16, 62, 52, 26, 78, 5, 5, 3, 488, 2111, 2970, 4174, 4704, 6211, 6752, 8147, 915, 2111, 2970, 4153, 4764, 6205, 6752, 7715, 186, 2065, 3143, 3893, 4387, 5892, 6752, 8196, 860, 1622, 2914, 3893, 5060, 5219, 7124, 8147, 488, 1528, 2960, 3226, 4624, 5340, 6996, 7723, 1056, 1750, 2340, 3886, 4398, 5832, 6589, 8185, 1084, 1208, 3033, 3229, 4511, 5624, 6333, 7311, 611, 2065, 3094, 3874, 5039, 5246, 6309, 7549, 840, 1510, 3123, 3332, 5149, 6022, 6533, 7649, 386, 1561, 2380, 3265, 4816, 5567, 6453, 8248, 845, 1782, 2492, 4167, 4818, 5539, 6560, 7271, 225, 1869, 2332, 3746, 4918, 5695, 7163, 7764, 654, 1652, 2542, 3359, 4387, 6146, 7106, 8262, 127, 1585, 3133, 4132, 4863, 5892, 7010, 7947, 240, 1304, 3133, 4111, 5080, 5890, 6677, 7591, 518, 2127, 3059, 3803, 4775, 5767, 6909, 8262, 654, 1286, 2287, 3586, 4225, 6110, 6677, 8076, 518, 1304, 2554, 3550, 5061, 6137, 7120, 7715, 654, 2106, 2875, 4125, 5167, 5719, 6683, 7559, 878, 1847, 2151, 3623, 5103, 5939, 7203, 7717, 424, 1281, 2741, 3623, 4267, 5296, 6898, 7379, 138, 1719, 2856, 3187, 4542, 5624, 6281, 7379, 511, 1471, 2700, 3648, 4565, 5313, 6632, 7768, 480, 1960, 2312, 3178, 4509, 5290, 6255, 8082, 556, 1140, 2856, 3508, 5086, 5264, 6899, 7488, 1006, 1974, 2829, 3313, 5123, 6028, 7112, 7828, 938, 2090, 2536, 3313, 4855, 5456, 7221, 8169, 1011, 1496, 2783, 3602, 5193, 6154, 6927, 7816, 955, 1302, 2905, 3193, 5054, 5840, 6260, 7779, 923, 1778, 2636, 4003, 4466, 5459, 7114, 7602, 556, 1496, 2692, 4082, 5101, 5257, 6800, 7597, 381, 1193, 2869, 3403, 4419, 6125, 7001, 7804, 360, 1129, 2265, 3422, 4365, 5489, 6334, 7479, 249, 1503, 2758, 3651, 4364, 5815, 6535, 7930, 296, 1296, 2869, 4086, 4495, 5450, 6663, 7593, 763, 1503, 2727, 4102, 4495, 5961, 6637, 8092, 1067, 1503, 2981, 4044, 4495, 6181, 6289, 8133, 643, 1812, 2545, 3394, 5123, 5810, 6858, 8217, 150, 1865, 2728, 3282, 4930, 5573, 6442, 7586, 1099, 1754, 2163, 4085, 4856, 5953, 6239, 7383, 1099, 1847, 2783, 4005, 4867, 5892, 6331, 7806, 488, 1475, 2880, 4011, 5058, 6195, 7218, 8185, 935, 2028, 2914, 3945, 4867, 5219, 6786, 8260, 935, 1845, 2991, 4174, 5129, 5635, 7201, 8185, 935, 2064, 2989, 3825, 4912, 5241, 6467, 8076, 935, 1992, 2925, 3825, 4828, 5534, 6786, 7876, 935, 2000, 2781, 3990, 4980, 5630, 6630, 8195, 153, 1964, 2806, 3361, 4179, 5378, 6749, 7807, 153, 1248, 2886, 3819, 4337, 5811, 7033, 7587, 899, 2106, 2636, 3550, 4225, 6001, 6887, 7703, 304, 1939, 2984, 4018, 4276, 6051, 6566, 7631, 318, 1861, 2532, 3885, 5115, 5320, 6675, 7886, 492, 2061, 2588, 3537, 5199, 5994, 6476, 7943, 536, 2061, 2224, 3556, 4685, 5891, 6287, 7762, 536, 1926, 2782, 3325, 4576, 5512, 6561, 8047, 517, 1808, 2782, 3880, 4335, 5867, 6822, 7886, 113, 2061, 3034, 3401, 4557, 5360, 6585, 7621, 192, 1550, 3103, 3212, 5144, 5528, 6643, 7408, 895, 1937, 2563, 3464, 4336, 5829, 6711, 7803, 1067, 1831, 2940, 3650, 4457, 6021, 6625, 7286, 404, 1770, 3118, 3935, 4735, 5646, 6463, 7740, 113, 1758, 2615, 3793, 4731, 6222, 7046, 7741, 424, 1566, 2432, 3899, 4824, 5767, 6455, 8081, 1056, 1858, 2936, 3732, 5141, 5715, 7047, 7480, 1057, 1510, 2389, 3603, 5157, 6123, 6237, 7793, 692, 1797, 2980, 3709, 4705, 5480, 6426, 7488, 569, 1570, 2261, 4132, 4205, 6206, 6224, 7402, 902, 1640, 2196, 3741, 4522, 5429, 6631, 7843, 880, 1942, 2520, 4030, 4352, 6059, 7043, 7785, 487, 1561, 2345, 4167, 4627, 5294, 7241, 8139, 881, 1397, 2268, 3456, 4604, 5787, 7044, 8225, 986, 1397, 2495, 3913, 4298, 5939, 7043, 7808, 986, 1397, 2891, 3273, 4382, 6199, 6442, 8150, 150, 1397, 2905, 3623, 5077, 5613, 6853, 8079, 150, 1561, 2750, 3792, 4776, 6154, 6838, 7972, 487, 1924, 2397, 3393, 4604, 6034, 6914, 8178, 610, 1561, 3029, 4074, 5097, 5950, 6903, 7563, 453, 1606, 3101, 3983, 5179, 5350, 6923, 7602, 654, 1732, 2614, 3810, 5125, 6157, 6614, 7972, 518, 1519, 2579, 4045, 4278, 5527, 6694, 8074, 317, 1963, 2818, 3316, 4592, 5310, 7010, 7580, 115, 1286, 2895, 3245, 4691, 5216, 6603, 7804, 113, 1120, 3033, 3922, 4881, 5300, 7138, 7811, 535, 2095, 2271, 3307, 4364, 5603, 6959, 7930, 465, 1510, 3101, 3356, 4364, 5603, 6512, 8033, 895, 2118, 2422, 3394, 4191, 5782, 6674, 8012, 104, 1510, 2716, 3356, 4910, 5393, 6510, 7669, 271, 2079, 2678, 3709, 4316, 5704, 7120, 7256, 1025, 1797, 2669, 3771, 4833, 6181, 6897, 7976, 1025, 1797, 3026, 3771, 5159, 5378, 6649, 8068, 390, 1791, 2629, 4152, 4918, 5893, 6734, 8083, 308, 2000, 3064, 3231, 5104, 5978, 6604, 7260, 240, 1887, 2302, 3920, 5088, 5580, 7160, 7865, 127, 1753, 2302, 3723, 4398, 6014, 7024, 7532, 127, 1753, 2833, 4074, 4344, 5556, 7207, 8079, 127, 1826, 2895, 3767, 5026, 6026, 6604, 8183, 127, 1853, 2554, 3528, 4859, 5764, 6526, 8202, 228, 1201, 2487, 3873, 4412, 5515, 6876, 7614, 518, 1620, 2565, 3933, 5159, 5493, 6810, 7947, 568, 2079, 3131, 3391, 4859, 6101, 6895, 7527, 356, 1400, 3046, 3370, 4350, 5296, 6812, 7816, 271, 1758, 3076, 3253, 5122, 5573, 6787, 7303, 728, 1758, 2527, 3605, 4902, 5782, 6375, 7693, 1067, 1510, 2905, 3750, 4893, 5715, 6270, 8045, 1080, 1758, 2690, 3491, 5036, 5586, 7086, 7385, 784, 1758, 2905, 3878, 4819, 6003, 6260, 8018, 504, 1758, 2239, 3857, 4513, 5535, 6466, 7957, 678, 1794, 3026, 3826, 4681, 5385, 6688, 7429, 684, 1421, 2380, 4080, 5193, 5534, 6771, 8159, 914, 1963, 2543, 4011, 4980, 6137, 7162, 8261, 915, 2017, 2991, 3827, 4888, 6051, 6972, 8260, 859, 2068, 2944, 4166, 4387, 5677, 7160, 7876, 568, 1633, 3017, 3855, 5150, 5220, 7160, 7494, 568, 1768, 2710, 3930, 4307, 5767, 7181, 7865, 568, 1876, 2172, 3529, 4192, 5723, 6529, 7606, 103, 1141, 2548, 3234, 4215, 5770, 7166, 7628, 401, 2063, 2238, 3430, 4470, 6194, 6605, 7620, 948, 2081, 2792, 3788, 4720, 5481, 7217, 7957, 1024, 1509, 2167, 3955, 4297, 5589, 6292, 8078, 940, 1206, 2440, 3680, 5144, 5482, 6589, 8245, 256, 1797, 3008, 3994, 4398, 6006, 6939, 7707, 256, 1945, 2473, 3838, 4470, 5378, 6938, 7602, 518, 1758, 2175, 3777, 4282, 5393, 6562, 7537, 256, 2127, 2941, 3680, 4983, 5661, 6515, 8185, 225, 2060, 2487, 3276, 4329, 5573, 7127, 7557, 195, 1826, 3021, 3391, 4890, 5719, 7098, 8227, 127, 2002, 2904, 3391, 4715, 5580, 7146, 8205, 518, 1440, 3099, 3662, 4193, 5942, 7146, 7563, 228, 1597, 2754, 3550, 5130, 5556, 7181, 7367, 228, 1851, 2554, 3662, 4486, 5515, 6605, 7706, 228, 1550, 2473, 3648, 5179, 6189, 7152, 7557, 513, 1851, 2426, 3754, 5088, 6110, 6809, 7717, 401, 2065, 2895, 3227, 4775, 5749, 7120, 7717, 948, 2090, 2258, 3788, 5100, 5784, 7046, 7964, 512, 1773, 2553, 3771, 5020, 5968, 6755, 8073, 1097, 2000, 2838, 3886, 5166, 5378, 7111, 7865, 201, 1467, 3135, 3226, 4704, 5241, 7010, 8147, 818, 1869, 3110, 3982, 4798, 5635, 7201, 8147, 818, 1648, 2914, 3516, 4912, 6129, 7132, 7876, 488, 1528, 3110, 3893, 4704, 6186, 6979, 8196, 143, 1674, 2549, 4078, 4423, 5514, 6991, 7263, 256, 1865, 2554, 3588, 4836, 5892, 6486, 7957, 757, 1248, 2944, 4166, 4566, 5276, 6898, 7865, 617, 1974, 2925, 3914, 5088, 5788, 6612, 7908, 216, 1668, 2869, 4135, 4877, 6205, 6579, 7770, 731, 1778, 3150, 3777, 4241, 5320, 7132, 8242, 386, 2050, 3146, 3989, 4621, 5696, 6411, 7497, 784, 1926, 2807, 3456, 4518, 6065, 6547, 8239, 1101, 1926, 3040, 3299, 4298, 6039, 6659, 7997, 179, 1440, 2847, 3883, 4887, 6107, 6586, 7790, 966, 1183, 2260, 3580, 4271, 5874, 7052, 7862, 1041, 1183, 3106, 3721, 4246, 5921, 6735, 7886, 360, 1440, 2141, 4037, 4910, 5999, 6426, 7862, 774, 2009, 2296, 4158, 4657, 6130, 6426, 7721, 868, 1183, 2751, 3385, 4212, 5533, 6565, 8190, 536, 1337, 2307, 4079, 4804, 5513, 6403, 8016, 113, 1975, 3040, 3384, 4766, 5341, 6751, 7800, 296, 1828, 3116, 3271, 4720, 5957, 7106, 7645, 639, 1510, 2196, 3912, 4672, 5325, 7164, 8115, 1084, 2101, 2751, 4003, 4205, 5574, 6625, 8193, 952, 1108, 2946, 3509, 4386, 5480, 6965, 7817, 662, 1164, 2506, 3261, 4352, 5724, 7222, 8011, 693, 1560, 2566, 3605, 4321, 6094, 6847, 7578, 693, 1597, 2480, 3764, 4684, 6002, 6337, 8046, 585, 2081, 2462, 3986, 5134, 5557, 6611, 8263, 585, 1118, 2941, 3894, 4998, 5720, 6474, 7396, 103, 1673, 2625, 3417, 4995, 5540, 6474, 8052, 952, 1636, 2692, 3913, 4566, 6002, 7204, 7403, 585, 1251, 2327, 3472, 4364, 5697, 7025, 8041, 115, 1763, 2767, 3695, 5090, 5455, 6343, 7860, 317, 1858, 2912, 3824, 4255, 5521, 6265, 8126, 317, 2012, 2720, 3756, 4399, 5749, 6755, 7492, 654, 2108, 2222, 3364, 4775, 5844, 6776, 8117, 195, 1935, 2359, 3933, 5160, 6085, 6671, 7262, 195, 2111, 2880, 3470, 4236, 6175, 6716, 8130, 518, 1756, 2444, 4166, 5075, 5276, 6683, 8130, 256, 1529, 2271, 3574, 4412, 6097, 7019, 8061, 419, 2111, 2839, 3586, 4344, 5844, 7078, 7720, 488, 1684, 3117, 3586, 4344, 5223, 7090, 7485, 488, 1622, 2806, 3825, 5138, 6157, 6996, 7707, 488, 2017, 2914, 3893, 4624, 5892, 6794, 8147, 488, 1528, 3065, 3893, 4704, 6139, 7124, 8196, 915, 1684, 2164, 3825, 4622, 5534, 7124, 7732, 555, 1684, 2970, 4166, 5157, 5767, 6515, 8126, 555, 2065, 3021, 4006, 4387, 6163, 6604, 8237, 859, 2106, 2554, 3891, 4387, 5901, 6988, 8223, 859, 1623, 2833, 4166, 4583, 5550, 7129, 8261, 859, 1468, 2775, 4153, 4859, 5515, 7129, 8223, 4, 2 ]

[ 1, 43, 48, 5, 28, 44, 51, 39, 53, 5, 16, 5, 52, 45, 66, 16, 52, 5, 44, 51, 64, 26, 66, 16, 30, 5, 5, 3, 488, 1623, 2858, 4174, 4681, 5548, 6604, 8147, 915, 1289, 3144, 4006, 4822, 5677, 7226, 7715, 915, 1623, 2858, 3873, 4890, 5678, 6752, 8261, 915, 1623, 2164, 3825, 5159, 5811, 6996, 7949, 915, 2017, 2946, 3825, 5159, 5635, 6810, 7766, 488, 1623, 2806, 3893, 4624, 5892, 6996, 7485, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 555, 1623, 3065, 4068, 4888, 5981, 7006, 8126, 356, 1233, 2543, 4168, 4912, 5899, 7084, 7473, 685, 2113, 2346, 4000, 4776, 5413, 6525, 8050, 346, 1834, 2311, 3936, 5092, 5658, 7234, 7996, 487, 2008, 3142, 3915, 4576, 5441, 6640, 8178, 487, 1296, 2419, 3356, 4604, 5478, 6734, 8240, 211, 1816, 2895, 3540, 5150, 5824, 7069, 7570, 308, 1255, 2282, 4093, 5166, 6195, 6996, 7865, 684, 1963, 2794, 3945, 4859, 6131, 7095, 7920, 572, 2063, 2139, 3631, 4604, 6044, 7244, 7996, 424, 1333, 2401, 3298, 4533, 6181, 6979, 8151, 299, 1732, 2585, 3741, 4952, 5752, 7114, 8178, 986, 1692, 2826, 3928, 4321, 5552, 6480, 8193, 103, 1655, 2520, 3370, 4737, 5285, 6760, 8033, 510, 1939, 2946, 4055, 4912, 5678, 6536, 7908, 914, 1998, 2936, 3886, 4859, 5586, 7212, 8205, 757, 1865, 3135, 4113, 4881, 5223, 6486, 8077, 541, 1623, 2181, 3601, 5074, 5624, 6876, 7477, 356, 1388, 2506, 3918, 5127, 5378, 6649, 7254, 685, 1706, 2291, 3268, 4384, 5715, 6426, 8000, 723, 1550, 2261, 3421, 4428, 6216, 6799, 7549, 943, 1286, 2751, 3513, 4385, 5555, 6680, 8189, 1019, 2053, 2751, 4079, 4878, 5782, 6808, 7870, 994, 1808, 2717, 3915, 4641, 5276, 6516, 8129, 536, 1442, 3039, 3741, 4745, 6198, 6837, 7880, 641, 1182, 2708, 3437, 4423, 5341, 6434, 7770, 887, 1878, 2440, 3456, 4849, 5260, 6603, 7736, 391, 1561, 2793, 3910, 4983, 5378, 6235, 7528, 408, 1747, 2717, 3709, 4203, 5276, 6254, 8027, 993, 1399, 2661, 4166, 5073, 5573, 6340, 7648, 1040, 2035, 3150, 3481, 4364, 5994, 6847, 7805, 880, 2050, 2396, 3963, 4350, 5745, 6697, 7938, 569, 1840, 2203, 3370, 5152, 5745, 6224, 7567, 778, 1440, 2390, 4079, 4707, 5437, 6289, 8247, 104, 1440, 3107, 3259, 4242, 5994, 6847, 8131, 776, 2079, 2506, 3566, 4184, 5761, 6614, 8174, 424, 1833, 2282, 3304, 4475, 5643, 6921, 8208, 663, 2091, 2659, 3929, 4374, 5749, 7010, 7735, 691, 1463, 3149, 4124, 4279, 5924, 6620, 8034, 547, 1828, 2474, 4172, 4437, 6035, 6663, 8228, 692, 1828, 3106, 4025, 4428, 5581, 6735, 8263, 569, 1669, 2626, 3943, 4195, 6218, 6224, 7256, 547, 1275, 2491, 3356, 4806, 5652, 7043, 8067, 776, 1560, 2737, 3356, 4592, 5279, 7007, 8130, 1056, 2073, 3092, 4097, 4918, 5263, 6715, 7720, 844, 1141, 3008, 3994, 4277, 5942, 6938, 7887, 613, 1199, 2688, 3452, 4586, 5289, 6844, 7341, 104, 1199, 2559, 3734, 4700, 5811, 6849, 8240, 104, 1503, 2261, 4005, 5169, 5341, 7187, 8069, 752, 1603, 2642, 3649, 5022, 6187, 6615, 7500, 1029, 1407, 2868, 4101, 4966, 5602, 7150, 7502, 643, 1547, 2369, 3578, 4292, 5344, 6870, 7571, 536, 1596, 2868, 3167, 4982, 5601, 7197, 8061, 992, 1721, 2953, 3540, 4743, 5512, 6883, 7967, 887, 1510, 2974, 3755, 4937, 5970, 6883, 7482, 401, 1930, 2327, 3740, 4773, 5641, 7163, 7764, 512, 1700, 2794, 4135, 5101, 5438, 7160, 8009, 818, 1998, 2895, 4114, 4822, 6146, 6786, 8147, 935, 1998, 2340, 4018, 4630, 5534, 7201, 8185, 757, 1742, 2886, 4145, 4549, 6063, 7207, 7971, 568, 1198, 2268, 4026, 4344, 5834, 7038, 8078, 276, 1570, 2775, 4060, 4873, 5474, 6966, 7926, 699, 1736, 2775, 3394, 5143, 5218, 7012, 7906, 654, 2002, 2775, 3394, 5088, 5963, 6677, 7948, 518, 2118, 2542, 3873, 4344, 5643, 7160, 7498, 518, 1851, 2554, 4145, 4555, 5811, 6612, 7476, 518, 2065, 2554, 3595, 4344, 6001, 7003, 7262, 256, 2065, 2858, 3951, 4611, 5514, 6740, 7664, 401, 2106, 2554, 3623, 4993, 5660, 6704, 7490, 895, 1340, 2944, 3251, 4316, 6056, 6659, 8203, 875, 1393, 2271, 3197, 5121, 5782, 7238, 7803, 462, 1349, 2784, 4147, 4364, 6135, 6263, 8194, 793, 1140, 2251, 3700, 5122, 5375, 6944, 8181, 930, 1818, 2290, 3765, 4953, 6135, 6943, 7644, 1040, 1186, 2316, 4076, 5154, 5212, 6298, 7449, 545, 1778, 2232, 4007, 5151, 5212, 7087, 7752, 487, 1324, 2355, 3605, 4604, 5286, 6883, 7445, 103, 1978, 3098, 3714, 4269, 5716, 6883, 7524, 356, 1485, 2957, 3904, 5135, 5983, 7033, 7768, 288, 1937, 2924, 4074, 4870, 5924, 6575, 7908, 103, 1587, 2361, 3987, 4522, 5870, 7023, 7476, 756, 1809, 2970, 3188, 5135, 6137, 7162, 7476, 582, 1330, 2669, 3952, 5011, 5810, 6596, 7773, 995, 1186, 3098, 3417, 4321, 6034, 6811, 7816, 913, 1706, 2922, 3307, 4437, 6181, 6910, 7880, 918, 1732, 2309, 3845, 4552, 5610, 7112, 7913, 981, 1942, 2453, 3528, 4829, 5656, 7173, 8214, 575, 1164, 2678, 3313, 4801, 5918, 6733, 7717, 1056, 2001, 2780, 3417, 4870, 5548, 6771, 7749, 684, 2078, 3064, 4126, 5088, 5963, 7100, 7865, 510, 1485, 2783, 4085, 5104, 6103, 7207, 7717, 684, 2000, 3098, 3916, 4980, 6137, 7201, 8076, 1097, 1750, 3110, 4108, 4287, 6137, 7111, 8147, 818, 1705, 2781, 4145, 4980, 6085, 7152, 7766, 427, 1623, 2336, 3994, 4387, 6205, 6584, 7799, 488, 2017, 3117, 4170, 4704, 6211, 7124, 8260, 142, 1528, 2914, 3825, 4704, 5612, 7226, 8196, 488, 1622, 3065, 3893, 4624, 5635, 6794, 8147, 915, 2017, 3021, 3893, 4624, 5635, 6677, 7723, 915, 1623, 2914, 3914, 4798, 5550, 7152, 7766, 555, 1623, 2164, 3374, 4798, 5981, 7090, 8080, 555, 2106, 3065, 4068, 4870, 5963, 7077, 8076, 555, 1876, 2833, 3825, 4512, 5534, 7129, 8223, 555, 1750, 2914, 3374, 4798, 6139, 6752, 7664, 555, 1974, 2833, 3873, 4870, 5219, 6604, 7766, 915, 1528, 2833, 3374, 4622, 5534, 7207, 8223, 555, 1648, 3021, 3891, 4387, 5811, 7077, 8196, 555, 1648, 2839, 4166, 5166, 5219, 6752, 8126, 555, 1750, 2946, 3893, 4624, 5550, 7077, 8223, 555, 1684, 2858, 4006, 4622, 5635, 6809, 8223, 555, 1684, 2858, 4096, 5060, 5436, 6709, 8223, 555, 1684, 3021, 3374, 5157, 6163, 6752, 7723, 555, 1648, 3021, 3891, 4512, 5635, 7077, 8126, 555, 2111, 3021, 4006, 5166, 6163, 6810, 7865, 555, 2111, 3021, 4068, 4762, 5963, 6584, 7723, 4, 2 ]

[ 1, 62, 63, 47, 62, 33, 63, 44, 55, 5, 41, 20, 63, 5, 31, 16, 5, 43, 57, 53, 76, 35, 30, 5, 50, 36, 54, 47, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 5901, 6794, 8147, 142, 1528, 2914, 3825, 4704, 5901, 6996, 8147, 859, 1847, 3006, 4124, 4588, 5730, 6688, 7720, 390, 1509, 3021, 4011, 4780, 5824, 6604, 7887, 223, 1566, 2792, 3782, 4470, 5840, 7004, 7627, 492, 1758, 2543, 3238, 4636, 5342, 6528, 7627, 363, 1758, 2929, 3672, 4186, 5512, 7197, 7693, 465, 1411, 2552, 3161, 5052, 6178, 7062, 8099, 1097, 1876, 2704, 4085, 4670, 5749, 6774, 8213, 818, 2001, 2746, 3891, 5183, 6131, 6809, 7515, 142, 2111, 2803, 3440, 4630, 5981, 6589, 8147, 818, 1998, 2164, 4174, 4624, 6195, 7201, 8260, 818, 1998, 2914, 4150, 4287, 5635, 7077, 7806, 818, 2017, 3117, 3440, 5106, 5661, 7124, 8066, 818, 2017, 2914, 3893, 4287, 6139, 7124, 7806, 818, 1528, 2991, 3893, 4888, 5635, 7111, 8223, 818, 1648, 2746, 3893, 4798, 6129, 7226, 7631, 818, 1528, 3135, 3893, 4798, 6129, 7124, 8223, 818, 1528, 2991, 4071, 4704, 6081, 6752, 8185, 421, 1601, 2754, 3364, 4852, 5824, 6272, 7442, 552, 1508, 2729, 4006, 4822, 5250, 7098, 7570, 840, 1283, 2128, 3758, 4613, 5940, 6408, 7389, 584, 1397, 2407, 3327, 4732, 6178, 6432, 7709, 668, 1813, 2810, 3995, 5024, 5479, 6526, 7815, 1036, 1104, 2210, 3963, 4751, 5988, 6566, 7363, 864, 1118, 3030, 3615, 5001, 5971, 7126, 7983, 1080, 1378, 3118, 3395, 4705, 5479, 6334, 7592, 692, 1408, 2552, 3940, 4790, 5657, 7220, 8242, 862, 1378, 2429, 4159, 4897, 5606, 6809, 7426, 655, 1268, 2796, 3900, 5157, 5899, 6958, 7516, 1030, 1268, 2313, 3939, 5157, 5592, 6675, 7379, 1080, 1149, 2440, 3928, 4699, 5997, 6588, 7933, 1024, 1137, 2884, 3687, 4670, 5655, 6350, 8172, 1024, 1730, 2801, 3612, 4311, 5595, 6834, 7621, 1024, 1590, 2888, 3358, 4482, 5251, 6995, 8031, 981, 1730, 3053, 3911, 4700, 5325, 6533, 8115, 981, 1561, 2741, 3981, 5146, 5433, 6533, 7944, 1024, 1684, 2958, 4162, 4489, 6187, 6813, 8245, 981, 1561, 2519, 3653, 4426, 5730, 7100, 7598, 386, 1121, 2717, 3304, 4809, 6220, 6938, 8085, 678, 1291, 2946, 4082, 4371, 5678, 6668, 8056, 678, 1164, 2975, 4103, 5129, 6175, 6670, 7716, 304, 2068, 2391, 3873, 4954, 6033, 7207, 8143, 643, 1755, 2476, 4082, 4440, 5761, 6302, 7387, 940, 1175, 2783, 3917, 5153, 5630, 7207, 8132, 288, 1998, 2924, 4150, 4792, 5778, 7239, 8188, 1099, 1998, 3135, 3909, 4856, 5705, 6630, 7591, 859, 1963, 3008, 3188, 5153, 6083, 6774, 7664, 475, 2030, 3007, 3159, 4912, 5767, 6776, 7631, 878, 1853, 3147, 3597, 4887, 5981, 6298, 8193, 844, 1700, 2918, 4041, 4364, 5911, 7221, 8100, 1067, 1757, 2860, 3510, 5165, 6071, 6386, 7963, 83, 1582, 2689, 3907, 4626, 5737, 6572, 7988, 736, 1594, 2299, 3742, 4581, 5361, 6684, 8108, 277, 1950, 2676, 3536, 4268, 5725, 6820, 7710, 917, 2048, 3112, 3699, 4426, 5606, 7048, 8026, 888, 1179, 2203, 3936, 4507, 5813, 6978, 7838, 1025, 1856, 2389, 3386, 4797, 5209, 6663, 7452, 132, 2064, 2798, 3990, 4965, 5838, 7162, 7437, 804, 1218, 2647, 3710, 5012, 5892, 6774, 7290, 1056, 2001, 2996, 4171, 4589, 5796, 7201, 7715, 113, 2063, 2534, 4006, 4918, 5250, 6405, 7623, 1008, 2117, 2678, 3696, 4533, 5452, 6473, 7364, 1016, 1582, 2476, 3220, 4510, 5432, 6758, 7381, 1030, 1199, 2927, 3699, 4787, 6007, 6921, 7361, 333, 2079, 3112, 3843, 4874, 5482, 6378, 7604, 110, 1854, 2970, 3717, 4241, 5528, 6540, 7953, 450, 1248, 2998, 3742, 5169, 5731, 6612, 7908, 450, 1468, 3102, 3577, 5138, 5439, 7019, 7384, 450, 1503, 2925, 3998, 4748, 5443, 6229, 7628, 746, 1503, 3006, 3371, 4800, 5778, 6607, 7914, 970, 1534, 2858, 3204, 5120, 5869, 6850, 7865, 663, 1405, 2791, 4041, 5108, 6128, 7198, 7418, 373, 1734, 2231, 4168, 4426, 5623, 6442, 7679, 1067, 1535, 2687, 3326, 5001, 5471, 7076, 7420, 271, 1469, 2588, 3831, 4969, 5466, 6283, 7822, 386, 1900, 2687, 3814, 4325, 5927, 6815, 7574, 266, 1904, 2805, 3931, 4181, 6123, 6620, 8040, 643, 1977, 2326, 3369, 5158, 5481, 6632, 7378, 150, 1665, 2727, 3885, 4197, 5765, 6962, 7768, 1081, 1499, 2809, 4017, 5159, 5516, 7111, 8188, 304, 2009, 2462, 3456, 4426, 5241, 7058, 7248, 304, 1594, 2899, 3878, 5194, 5705, 6467, 7421, 304, 1376, 2996, 3536, 4811, 5641, 7120, 8083, 1081, 1721, 2905, 3736, 4456, 6080, 6991, 8213, 1081, 1255, 2730, 4017, 5020, 5481, 6852, 7687, 211, 1998, 2231, 3920, 4991, 6175, 7168, 8093, 610, 1467, 2868, 3206, 4285, 6084, 7065, 7898, 610, 1919, 2586, 3201, 5115, 6123, 7168, 7311, 1025, 1827, 2838, 3678, 4822, 5687, 7095, 8172, 104, 1823, 2141, 3873, 5108, 5911, 7111, 7557, 887, 1402, 2786, 3240, 4901, 5866, 6688, 7651, 536, 1318, 2485, 4055, 4586, 5833, 7160, 8107, 465, 1299, 2661, 3355, 4557, 5942, 6482, 7289, 150, 1449, 2440, 3970, 5074, 5553, 7157, 8017, 1057, 1758, 2915, 3679, 4824, 5268, 6333, 8181, 1025, 1758, 3037, 3975, 4465, 5730, 6633, 7441, 271, 1758, 2315, 3190, 4434, 5838, 7237, 7585, 678, 1586, 3106, 3915, 4615, 5413, 6876, 8030, 684, 1700, 2833, 3662, 4792, 6163, 7168, 8066, 1099, 1620, 2783, 4011, 4533, 6085, 6302, 8245, 804, 2000, 2989, 3710, 4782, 6195, 6589, 7887, 804, 2046, 2746, 3540, 5106, 6131, 7111, 7723, 1097, 1467, 2957, 3866, 4624, 5883, 7218, 7949, 356, 1623, 2366, 3870, 5058, 5385, 7197, 7962, 568, 1979, 2383, 3359, 5160, 5368, 6485, 7549, 118, 1286, 2627, 3983, 4437, 6063, 7120, 7429, 757, 1853, 3149, 3832, 4945, 5911, 7120, 7401, 103, 1971, 3020, 3648, 5040, 5625, 6939, 8099, 1090, 1510, 2608, 3232, 5150, 6115, 6525, 7698, 936, 1736, 2544, 3911, 4940, 5667, 6603, 7772, 936, 1494, 2548, 3963, 4259, 5800, 7040, 7527, 936, 1758, 2856, 3815, 5062, 5481, 6715, 8084, 936, 1496, 2905, 3492, 5117, 6078, 7000, 8139, 1005, 2009, 2905, 3571, 4426, 5325, 7127, 8088, 1057, 1189, 2235, 4154, 4212, 5613, 6800, 7445, 1084, 1239, 2458, 3687, 4879, 5899, 7059, 8069, 1005, 1821, 2432, 3361, 4447, 6052, 6918, 7664, 938, 1590, 2536, 3611, 4665, 5590, 7028, 8154, 938, 2063, 2792, 4096, 4447, 5965, 6575, 7256, 938, 1644, 2542, 3603, 4382, 5400, 6734, 7658, 940, 1510, 2555, 4074, 4184, 5445, 6520, 8237, 571, 1518, 2515, 3917, 4667, 5752, 6550, 7557, 1090, 1363, 2730, 4145, 5169, 5911, 7120, 7918, 970, 1110, 3021, 4145, 4426, 5749, 7239, 7485, 139, 2072, 2625, 3957, 4546, 5251, 6806, 8117, 1101, 1695, 2899, 3710, 4762, 5474, 6663, 7887, 986, 2091, 2748, 4060, 5138, 5231, 6550, 8254, 981, 1942, 2355, 4093, 4835, 5315, 6273, 7702, 139, 1164, 3047, 3578, 4663, 5373, 6918, 7757, 938, 1289, 2503, 4060, 5026, 5631, 6799, 7303, 103, 1704, 3007, 3952, 5040, 5204, 6604, 8209, 495, 2081, 3049, 3259, 4945, 5350, 7076, 8078, 643, 1965, 2775, 3751, 4796, 5764, 6443, 7516, 103, 1687, 2656, 3671, 4553, 5202, 6443, 7466, 859, 2000, 2801, 3886, 4573, 6195, 7207, 8238, 804, 1876, 2638, 3732, 5073, 5892, 7222, 7421, 555, 1876, 2944, 3662, 4287, 5901, 6734, 7687, 915, 2017, 3021, 3710, 4704, 6205, 6786, 8179, 201, 1528, 2914, 3803, 4681, 5705, 7226, 7766, 142, 1528, 2914, 3803, 4583, 6139, 7239, 7949, 488, 1622, 2806, 3893, 4624, 6081, 7226, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3367, 4624, 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, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 33, 75, 35, 47, 5, 28, 63, 45, 66, 44, 65, 5, 64, 57, 52, 50, 35, 5, 64, 48, 53, 30, 5, 14, 54, 16, 53, 40, 66, 16, 30, 5, 76, 45, 31, 5, 16, 5, 30, 20, 54, 66, 52, 16, 64, 5, 51, 36, 16, 50, 5, 5, 3, 491, 1706, 2765, 3279, 4486, 6117, 6538, 7656, 221, 1661, 2692, 3323, 4486, 5971, 6639, 8129, 737, 1958, 3037, 3751, 4419, 6184, 6848, 8015, 249, 1695, 2911, 3751, 4561, 5723, 6663, 7405, 363, 1149, 2987, 3623, 4412, 5386, 6734, 7539, 643, 2059, 2764, 3605, 4562, 5538, 6497, 7429, 684, 2072, 2868, 3515, 4199, 5547, 7151, 8061, 512, 1778, 2794, 3488, 5175, 5824, 7181, 7876, 390, 2001, 2298, 3602, 4965, 5548, 6543, 8107, 684, 1370, 2803, 4145, 5104, 5548, 7152, 7594, 304, 1998, 2383, 3973, 4529, 6114, 6688, 7485, 211, 1924, 3128, 4174, 4398, 5661, 6786, 8080, 211, 2001, 3064, 4145, 5183, 5661, 6755, 7811, 211, 2000, 3143, 4166, 5183, 5543, 7010, 7948, 955, 2079, 3143, 3909, 4551, 6131, 6515, 7846, 571, 1620, 2838, 4085, 5060, 5761, 7217, 7641, 401, 1280, 2189, 4113, 4994, 6110, 6382, 8098, 940, 1206, 2189, 4097, 4180, 5941, 6979, 7367, 1102, 1992, 2167, 3388, 5125, 5599, 6921, 7895, 840, 1763, 2878, 3513, 4439, 5840, 6787, 7560, 1024, 1231, 2511, 3233, 4543, 5687, 6719, 8260, 668, 1758, 2365, 4122, 4542, 5429, 6231, 7902, 1024, 1586, 2268, 3565, 4814, 5942, 6286, 7709, 495, 1776, 2865, 4021, 4321, 5515, 6760, 8016, 545, 1281, 2865, 3967, 4269, 5519, 7181, 7633, 231, 1118, 2595, 3826, 5001, 5714, 6592, 8248, 986, 1562, 3091, 3850, 4935, 5589, 6824, 7317, 304, 1164, 3091, 3904, 5091, 5579, 6895, 8066, 684, 1467, 2729, 4124, 5162, 5868, 6265, 7838, 211, 1773, 2492, 3679, 4423, 6120, 7010, 7811, 308, 2000, 2924, 3873, 4782, 6129, 6996, 7717, 684, 1467, 3095, 4011, 4822, 5797, 6996, 7723, 804, 1218, 3061, 4114, 4551, 5635, 6668, 7557, 804, 2125, 3007, 4114, 4822, 6205, 7239, 8260, 1099, 1467, 2895, 4114, 5080, 5635, 7077, 7887, 804, 2125, 3144, 3803, 5058, 5241, 6996, 8185, 684, 1467, 2943, 4170, 5159, 5635, 6988, 8223, 390, 1881, 3128, 3975, 4589, 6146, 6589, 8237, 980, 2079, 2738, 3173, 4782, 6211, 7058, 8083, 752, 1585, 2474, 3811, 4762, 5893, 7075, 7992, 936, 1208, 2511, 4127, 4708, 5915, 6921, 7703, 840, 1458, 2511, 3271, 4534, 5602, 6379, 7740, 1023, 1758, 3037, 3817, 5022, 6145, 7064, 8077, 314, 1758, 2836, 3585, 4991, 5887, 6627, 7344, 784, 1570, 2402, 3647, 4389, 6114, 6965, 7617, 495, 1562, 2481, 3313, 5052, 5980, 6746, 7341, 684, 1403, 2636, 3812, 4993, 5532, 6740, 8267, 308, 1773, 2754, 3990, 4387, 5661, 6668, 8185, 955, 1777, 2432, 4166, 4870, 6182, 7149, 8107, 103, 1773, 2970, 3987, 4437, 5510, 7157, 7764, 613, 1543, 2839, 3394, 4522, 6050, 6933, 7602, 545, 1812, 2903, 3792, 4495, 5677, 6348, 7405, 487, 1886, 2872, 3179, 4804, 5638, 6281, 7900, 495, 1120, 2934, 3496, 4298, 6194, 6897, 7992, 103, 1278, 2366, 3159, 4509, 5788, 6632, 7878, 103, 1331, 3007, 3987, 5061, 5975, 6224, 8213, 211, 1876, 2638, 3929, 5125, 6137, 6979, 8132, 356, 1238, 2315, 4155, 5061, 5923, 6314, 8262, 617, 1403, 2943, 3931, 4877, 5637, 6768, 7764, 183, 1561, 3080, 3930, 4589, 5730, 7069, 7732, 183, 1286, 3144, 4125, 4493, 6205, 7230, 8266, 105, 1623, 2542, 3930, 4267, 5767, 6338, 7906, 617, 1750, 2656, 4174, 5007, 5863, 7006, 7920, 859, 1623, 3133, 3827, 4423, 5514, 7232, 7723, 555, 1684, 2970, 3891, 4870, 6149, 7120, 8260, 555, 1684, 2970, 3277, 5159, 5219, 6604, 7664, 555, 2111, 3064, 3827, 4859, 6163, 6996, 8080, 915, 1528, 2833, 3893, 4512, 6139, 7120, 8126, 555, 2002, 2806, 4071, 4387, 5981, 6604, 7806, 105, 2127, 2941, 3391, 4583, 5219, 6579, 7715, 183, 1851, 2554, 4166, 4555, 6137, 7129, 8237, 228, 1426, 3021, 3827, 4555, 5811, 6752, 7723, 225, 1851, 2340, 4166, 5079, 5296, 7129, 8041, 225, 2060, 2941, 4047, 5166, 5767, 6810, 7557, 654, 1426, 2454, 3662, 4304, 6095, 6848, 7427, 195, 2013, 2941, 3518, 4423, 5844, 7181, 8262, 518, 2002, 2466, 3803, 4863, 5935, 7207, 7919, 317, 2002, 2554, 3961, 5075, 6051, 7077, 7865, 392, 1854, 2857, 3795, 5148, 5584, 6895, 7516, 556, 1669, 2282, 3939, 4539, 5784, 6674, 7702, 498, 1205, 3054, 3259, 5036, 5787, 6601, 7973, 692, 1912, 2667, 3659, 5014, 6086, 7192, 8107, 938, 1838, 2937, 3599, 4865, 6072, 6945, 7654, 938, 1205, 2133, 3426, 4823, 6095, 6518, 7442, 970, 1356, 2137, 3156, 4327, 5350, 6824, 8028, 150, 2035, 2923, 3856, 4667, 5955, 7164, 7936, 643, 1296, 2894, 3318, 5124, 5437, 6408, 7597, 887, 1838, 2134, 3482, 4929, 5838, 6965, 7313, 887, 2053, 2389, 4142, 4546, 6065, 6249, 7488, 887, 1838, 2241, 3865, 4223, 5253, 6587, 7825, 887, 1290, 2282, 3507, 5139, 5835, 7048, 7591, 1090, 1275, 2282, 4067, 5093, 6080, 7157, 8261, 776, 1856, 3061, 3251, 4510, 6000, 7221, 8066, 610, 1669, 2541, 3936, 5097, 5203, 6347, 7877, 887, 1838, 2678, 3305, 5127, 5279, 6281, 7901, 641, 1141, 2736, 3776, 4859, 5350, 6904, 8236, 103, 1209, 2868, 3426, 4700, 5995, 7163, 7905, 684, 1881, 2315, 3916, 5088, 5515, 6966, 7846, 804, 2046, 2936, 3866, 4935, 5219, 7006, 7664, 1020, 1372, 2886, 3674, 4541, 6065, 6484, 7810, 183, 1116, 2196, 3789, 4985, 6066, 7162, 7386, 103, 1519, 3003, 3298, 4321, 5331, 6237, 8266, 1102, 1886, 2809, 3446, 4673, 5787, 6803, 7726, 1057, 1732, 2555, 3949, 4855, 5466, 7070, 8126, 806, 1421, 2242, 3540, 4691, 5366, 6958, 7408, 113, 1886, 2609, 3232, 4437, 6029, 7075, 8232, 1080, 1347, 2310, 3936, 4793, 5352, 7086, 7614, 1036, 1494, 2349, 3465, 4457, 5973, 7131, 7487, 862, 1663, 2390, 4153, 4382, 5240, 6760, 7726, 546, 1758, 2173, 3658, 5009, 5341, 6659, 7845, 1017, 1354, 3068, 3428, 4609, 5444, 6801, 7904, 1017, 1108, 2378, 3194, 5109, 6068, 6500, 8079, 1017, 1108, 3055, 4154, 4321, 5423, 6648, 8201, 531, 1918, 2741, 3572, 4636, 6141, 6740, 7360, 693, 1821, 2506, 3434, 4364, 6141, 6704, 7689, 405, 1486, 2741, 3895, 4592, 5656, 6734, 7849, 484, 2041, 2724, 3605, 4606, 5660, 6410, 7593, 552, 2065, 2265, 3771, 4551, 5811, 6376, 8245, 935, 2065, 2926, 3866, 4681, 5548, 7132, 7716, 818, 1876, 3109, 3645, 4782, 6137, 6809, 8267, 859, 2065, 3095, 4168, 5129, 5661, 7201, 8080, 617, 1623, 2548, 4168, 4762, 6137, 7084, 7563, 617, 1468, 2775, 3550, 4700, 5684, 7114, 8179, 617, 1304, 2370, 4006, 4870, 5901, 7091, 8262, 757, 2065, 2370, 3596, 5060, 5981, 7160, 8262, 617, 1974, 2941, 3391, 4615, 5678, 7197, 8076, 757, 2127, 2718, 4149, 4398, 5778, 7133, 7279, 617, 2111, 3021, 3550, 4512, 5548, 7100, 7716, 617, 1695, 2370, 3987, 4855, 5935, 6958, 7887, 617, 1570, 3147, 3803, 4387, 5630, 7091, 7677, 105, 1684, 2941, 4006, 4615, 6149, 6338, 7485, 105, 2111, 3147, 3550, 4877, 5385, 7100, 7732, 555, 1648, 2833, 3391, 4387, 5385, 6338, 8179, 488, 1622, 3021, 3825, 5138, 6139, 7239, 7717, 201, 1528, 2806, 3825, 4624, 6139, 7124, 8223, 568, 2127, 2833, 3239, 5168, 6163, 6486, 8203, 225, 2060, 2156, 3931, 5079, 5586, 6338, 7498, 654, 2060, 2718, 3891, 5159, 6110, 6486, 8130, 195, 1424, 2341, 4096, 4304, 5678, 6889, 7781, 518, 1756, 2833, 4111, 4854, 5515, 6486, 8126, 518, 1684, 3133, 3928, 4512, 5413, 6589, 8261, 518, 1550, 2560, 3761, 4387, 5942, 7120, 7865, 986, 1403, 2397, 3304, 5120, 5512, 6476, 8124, 492, 1706, 2492, 3425, 4411, 6115, 6894, 8129, 459, 1808, 2355, 4025, 4251, 6002, 7035, 7826, 998, 1706, 2751, 3560, 5074, 5742, 6966, 7535, 299, 1706, 2503, 3741, 4501, 6119, 6480, 7466, 299, 1269, 2974, 3764, 4598, 5606, 6536, 7500, 443, 1858, 2787, 4084, 4983, 5276, 6224, 7255, 826, 1700, 2429, 4080, 4321, 6187, 6335, 7634, 610, 2053, 2429, 3615, 4212, 6205, 6687, 7962, 778, 1747, 2429, 3340, 4573, 5264, 7023, 7658, 104, 1976, 2520, 4096, 4797, 6128, 7230, 7794, 1025, 1146, 2750, 4041, 4536, 5899, 6702, 7684, 610, 1238, 2750, 3229, 5122, 6080, 7019, 7869, 645, 2107, 2709, 3271, 5088, 5974, 6657, 7397, 682, 1732, 2925, 3533, 4381, 5431, 6614, 7809, 1039, 1378, 3097, 3776, 4321, 6068, 7051, 7660, 323, 1401, 3074, 3286, 5112, 5291, 6565, 7492, 810, 1812, 3013, 3770, 4456, 6145, 6911, 7556, 249, 1503, 3029, 3287, 5086, 6178, 6383, 8239, 648, 1778, 2625, 3252, 4818, 5261, 6676, 8144, 161, 1686, 2819, 3552, 4593, 5393, 6956, 8172, 1006, 1401, 2829, 3557, 4571, 5894, 6911, 7255, 930, 1900, 2353, 3276, 4368, 5332, 7092, 7659, 1064, 1974, 2486, 3639, 4338, 6083, 6292, 7821, 767, 1323, 2740, 3918, 4900, 5629, 7100, 8061, 831, 1463, 3026, 3529, 5134, 6222, 7222, 8032, 262, 1886, 2771, 3809, 4385, 5259, 6560, 8215, 640, 1346, 2258, 3373, 4706, 6016, 6442, 7857, 428, 1510, 3073, 4123, 4506, 6034, 6687, 8158, 1064, 1510, 2588, 3511, 4184, 5865, 6717, 8145, 831, 1231, 2638, 3430, 4556, 5202, 6333, 7688, 149, 1141, 2552, 3668, 4621, 5713, 6388, 7865, 391, 1317, 2688, 3471, 5125, 5344, 6832, 7383, 392, 1141, 2940, 3848, 4830, 5797, 7220, 8076, 262, 1244, 3132, 3937, 4981, 5204, 6944, 7470, 997, 1283, 2480, 3953, 4720, 5205, 6716, 8079, 604, 1411, 2222, 3558, 5148, 5579, 6909, 7519, 886, 1541, 2588, 3190, 4606, 6135, 6573, 7852, 487, 1206, 2613, 3939, 5062, 5489, 6308, 7505, 234, 1411, 2165, 3217, 5031, 5875, 6974, 8187, 807, 1415, 2771, 3695, 4539, 5298, 6954, 7898, 1080, 1550, 3053, 3620, 4882, 5929, 6267, 7975, 981, 1550, 3026, 3623, 4334, 5215, 6840, 7397, 959, 1623, 2970, 3540, 4912, 5863, 7023, 7842, 1102, 1206, 2725, 3374, 4374, 5248, 6732, 7537, 722, 1164, 2254, 3536, 4664, 6085, 6565, 7462, 620, 2085, 2502, 3955, 5138, 5548, 6265, 8128, 401, 2091, 2379, 3870, 4790, 6048, 6338, 8224, 1102, 1286, 3128, 4085, 5038, 6208, 6988, 7384, 571, 1773, 2792, 3803, 5104, 5635, 6584, 8179, 401, 1750, 2991, 3679, 5088, 5797, 6715, 7948, 373, 1982, 2838, 3540, 4782, 6032, 6998, 8054, 304, 1407, 2803, 4135, 5129, 5968, 6709, 8236, 211, 1845, 3150, 4135, 5061, 5543, 6685, 8179, 537, 2068, 2695, 3540, 4407, 5572, 7230, 7822, 970, 1499, 2944, 3388, 4472, 5788, 6716, 7768, 547, 1981, 2367, 3393, 4543, 5893, 6465, 8034, 1036, 1786, 2940, 3356, 5152, 5737, 7224, 7317, 728, 1531, 2222, 3676, 4479, 6135, 7004, 8051, 692, 1531, 2244, 3497, 4479, 6086, 6966, 7578, 684, 1763, 2678, 4004, 5061, 5923, 6642, 8261, 833, 1523, 2629, 3352, 4780, 5413, 6709, 7895, 868, 1280, 3116, 3171, 5127, 5923, 6980, 7796, 1080, 1717, 2293, 3356, 4426, 5899, 6313, 7631, 723, 1967, 3040, 3474, 4946, 6125, 7106, 8178, 668, 1759, 3040, 3612, 5062, 5592, 6244, 7820, 668, 1785, 3040, 3997, 5124, 5769, 6964, 7830, 1102, 1167, 2172, 3740, 4992, 5865, 6820, 7685, 684, 1534, 2924, 3660, 4470, 5565, 6605, 7899, 308, 1302, 2871, 3575, 4374, 5914, 7047, 7919, 211, 1916, 2629, 4085, 4588, 6051, 6972, 8267, 308, 1467, 2947, 3918, 4467, 5385, 7058, 7846, 684, 1963, 3110, 4166, 5165, 5612, 7168, 8237, 804, 1791, 3095, 3990, 5038, 5219, 6988, 8260, 512, 2041, 2793, 3945, 4630, 5901, 6709, 7876, 684, 2046, 2947, 3891, 5129, 5635, 6794, 8195, 221, 1436, 2860, 4138, 4437, 5244, 7168, 7538, 868, 1721, 2328, 4074, 4732, 5547, 6259, 7396, 943, 1299, 2495, 4138, 4773, 5512, 6532, 8045, 458, 1630, 2667, 3268, 4497, 5879, 6857, 7740, 1067, 1720, 2707, 3722, 4873, 5408, 7133, 7859, 360, 1554, 2698, 3486, 4257, 5585, 6612, 7490, 465, 1897, 3040, 3814, 4643, 5495, 7131, 7955, 1066, 1185, 2623, 3411, 4364, 5577, 7206, 7886, 1029, 1681, 3040, 3781, 4404, 5564, 6620, 7678, 1005, 1296, 2405, 3567, 5183, 5886, 6710, 7891, 1005, 1919, 2887, 3858, 4728, 5454, 6772, 7497, 776, 2117, 2678, 3856, 4573, 6075, 6225, 7415, 610, 2095, 2740, 4146, 4872, 6085, 6969, 7505, 779, 2107, 3060, 4055, 5104, 5705, 6830, 7458, 1097, 1943, 3144, 4085, 5145, 5761, 6668, 7768, 914, 2032, 2947, 3990, 5080, 5210, 7207, 7949, 935, 2032, 3007, 4018, 4622, 5210, 6979, 8237, 984, 1175, 3128, 3990, 4651, 6205, 7239, 8107, 153, 1620, 2730, 3424, 4780, 6182, 6348, 7494, 105, 1248, 3098, 4067, 4287, 5811, 7218, 7723, 731, 1199, 3043, 3838, 5183, 5590, 6988, 7631, 223, 1779, 3147, 4151, 4379, 5899, 6980, 7284, 247, 1294, 2497, 3649, 4604, 5313, 7074, 7574, 492, 1516, 2953, 3992, 5114, 5454, 6376, 7951, 936, 1421, 2706, 4015, 4881, 5379, 6345, 7590, 536, 1773, 2346, 4007, 4534, 5261, 6470, 7794, 613, 1754, 2156, 3169, 4536, 5745, 6965, 7797, 613, 1339, 2156, 3924, 5062, 6117, 6592, 8146, 225, 1747, 2935, 3855, 4371, 5829, 6426, 8128, 654, 1586, 2163, 3631, 5164, 6146, 6932, 7477, 654, 2002, 3147, 3873, 4630, 5608, 6567, 8171, 518, 1961, 2820, 3532, 4764, 6163, 6671, 7831, 195, 1971, 2729, 3391, 5134, 6160, 7085, 7677, 682, 1871, 2669, 3599, 5167, 5745, 7063, 7277, 818, 2097, 2991, 3838, 4555, 5543, 6921, 7806, 488, 1961, 3117, 3825, 4704, 6129, 7239, 7723, 419, 2017, 3135, 3914, 4888, 6129, 6579, 7723, 475, 2017, 3135, 3990, 5061, 5630, 7077, 7485, 165, 1965, 2701, 4137, 4576, 5874, 6632, 7920, 575, 1570, 2554, 3827, 5129, 5223, 7098, 7775, 959, 1684, 3032, 4145, 4952, 5586, 7160, 8179, 166, 2065, 2727, 3928, 4924, 5886, 6456, 7965, 249, 1507, 3010, 3356, 4425, 5983, 6710, 8117, 249, 1299, 2137, 3356, 4497, 5292, 6911, 8079, 494, 1531, 2348, 3312, 4646, 5441, 6890, 7803, 895, 2059, 2265, 3376, 4457, 5927, 7061, 7914, 1067, 1510, 2610, 3612, 5111, 5209, 7220, 7528, 970, 1663, 2559, 4153, 4936, 5603, 6286, 8145, 776, 1821, 2432, 4094, 4991, 5694, 6816, 7904, 1011, 1568, 2128, 3455, 5096, 5918, 7114, 8154, 844, 2003, 2593, 3304, 5042, 5983, 7055, 7995, 678, 1918, 2293, 3782, 4259, 5413, 6740, 7930, 1080, 1758, 2636, 3246, 5085, 5385, 7154, 7964, 1024, 1510, 2636, 3828, 5145, 6145, 6938, 7450, 913, 1876, 2724, 3766, 4770, 5875, 6969, 8205, 913, 1472, 2378, 4146, 4238, 5923, 6340, 7718, 692, 1695, 2918, 4037, 4415, 5828, 6563, 8111, 938, 1906, 2987, 3421, 5036, 6005, 6929, 8169, 1062, 2024, 2980, 3751, 4881, 6065, 6944, 8061, 103, 1440, 2895, 3792, 5095, 5787, 6734, 7697, 804, 2063, 2554, 3391, 4801, 5385, 6630, 7918, 308, 1218, 3064, 4085, 4583, 5767, 7157, 7720, 1037, 2063, 2556, 3516, 4586, 6146, 6972, 7949, 757, 1248, 2139, 4135, 4580, 5584, 7100, 7973, 225, 1706, 2729, 3183, 4289, 5652, 6689, 7476, 183, 1372, 2946, 4125, 4985, 5515, 6575, 7865, 183, 1876, 2542, 3363, 4344, 5787, 6604, 7831, 568, 1623, 2717, 3407, 4590, 5493, 6736, 8179, 183, 1876, 2839, 4006, 5097, 6129, 7090, 7563, 757, 1286, 2469, 3904, 5097, 5901, 6380, 7906, 859, 1623, 2454, 3227, 5138, 5352, 6988, 7764, 859, 1684, 2880, 3914, 4374, 6149, 7019, 7865, 488, 1684, 3117, 3825, 4512, 5963, 7207, 8076, 488, 1623, 3117, 3803, 4583, 5892, 6996, 8196, 488, 1528, 3065, 3825, 4622, 6139, 6589, 7766, 488, 1528, 3117, 4145, 4798, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 4, 2 ]

[ 1, 43, 45, 78, 5, 75, 60, 64, 5, 28, 44, 51, 39, 53, 5, 75, 33, 63, 47, 5, 66, 33, 54, 64, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 555, 1623, 3064, 3827, 4888, 5635, 6996, 8083, 859, 1851, 3065, 4145, 4681, 5677, 6604, 8267, 1059, 1112, 3049, 4064, 4470, 5431, 6883, 7563, 346, 2090, 3047, 3172, 4586, 6034, 6456, 8045, 825, 1782, 2875, 3653, 5079, 5503, 6977, 7442, 825, 1125, 2302, 3770, 4335, 5703, 6702, 7612, 576, 1978, 2596, 4031, 4288, 6002, 6728, 7718, 576, 1577, 2534, 3879, 4437, 5479, 6377, 7468, 576, 1803, 3052, 3714, 5048, 5331, 7167, 7857, 518, 1529, 2904, 4126, 4949, 5894, 6947, 8040, 579, 1944, 3116, 3535, 4935, 5893, 6672, 7317, 899, 1171, 2473, 3253, 4493, 5802, 6348, 7481, 440, 2045, 2473, 4150, 4549, 6050, 6292, 8126, 440, 1330, 2560, 4108, 4437, 5719, 6702, 7816, 756, 2046, 2740, 4125, 4895, 5219, 6348, 7476, 1071, 1825, 2381, 3994, 5053, 5550, 7085, 7631, 614, 1955, 2480, 3559, 4185, 5872, 7131, 8135, 1024, 1542, 2571, 3165, 4474, 5461, 6431, 7726, 1067, 1217, 2368, 3853, 4417, 5600, 7003, 8082, 938, 1499, 3090, 3920, 4960, 6210, 6881, 7450, 104, 1809, 2541, 3214, 4706, 5351, 6849, 8049, 113, 1886, 2979, 3590, 4402, 5338, 6481, 7564, 802, 1141, 2846, 3910, 4346, 5713, 6737, 7811, 1024, 1758, 2652, 3949, 4350, 5794, 7086, 7305, 424, 1806, 2716, 3515, 5024, 5363, 6632, 8061, 955, 1808, 2703, 3838, 5080, 5978, 6828, 7555, 757, 1255, 2941, 3982, 4804, 6206, 6470, 7260, 225, 1550, 3105, 4094, 4604, 5830, 6844, 7447, 225, 2127, 2947, 3391, 4877, 6137, 7152, 7498, 228, 1695, 2293, 3951, 4993, 5590, 7127, 8012, 1097, 1752, 2560, 3962, 4764, 5549, 6972, 8213, 860, 1528, 2554, 3803, 5038, 5677, 6996, 8147, 1099, 2017, 3135, 3516, 4888, 5883, 7201, 7485, 1099, 1218, 2806, 3982, 4822, 5241, 7201, 7631, 555, 1508, 2957, 3803, 5058, 6085, 7226, 7949, 887, 1560, 2775, 4107, 4611, 5616, 7160, 8266, 716, 1561, 2315, 3166, 5032, 5497, 6908, 7549, 545, 1850, 2327, 3575, 4486, 6002, 6308, 7369, 356, 1238, 2655, 4031, 5115, 5443, 6991, 7603, 818, 1705, 2949, 3990, 4622, 5968, 7239, 8083, 818, 2000, 2946, 3226, 4551, 6137, 6996, 8260, 757, 2025, 2693, 3752, 5104, 5276, 6581, 7611, 541, 1669, 3079, 3232, 4437, 5618, 6259, 7586, 1020, 1750, 2567, 4025, 4867, 5951, 6419, 7253, 105, 1876, 2941, 4128, 5183, 5963, 7091, 8237, 1033, 1706, 2903, 3268, 4954, 5960, 6840, 7764, 1040, 1692, 2727, 3770, 4321, 5880, 6632, 7636, 897, 1706, 2794, 4007, 4698, 5715, 6453, 7652, 487, 1335, 2655, 3214, 4670, 5443, 6545, 7744, 995, 1685, 2638, 3224, 4459, 5810, 6444, 7951, 678, 1747, 2801, 3826, 5142, 5276, 6909, 8172, 779, 1430, 3053, 3488, 4797, 5868, 7095, 7987, 779, 1146, 3053, 3593, 4801, 6103, 7220, 7716, 663, 2021, 2980, 4085, 5159, 5630, 6589, 8237, 779, 1146, 3053, 4108, 4782, 6211, 7207, 8260, 1090, 1540, 2980, 3271, 5061, 5694, 6734, 8213, 1056, 1943, 2925, 4068, 4782, 5832, 7207, 7764, 684, 1508, 2473, 3975, 4782, 5981, 7160, 7421, 440, 2085, 2520, 3746, 4386, 6204, 6607, 8266, 952, 1171, 3006, 3951, 5135, 5723, 6966, 7816, 1080, 1758, 2716, 3354, 4598, 5619, 6848, 8117, 1024, 1918, 2903, 3900, 4884, 5226, 6530, 8086, 981, 1653, 2762, 4083, 4717, 5480, 6675, 7869, 1080, 1510, 2149, 3812, 5154, 5255, 6348, 7418, 1003, 1496, 2801, 3679, 4705, 6141, 7062, 8254, 913, 1421, 2378, 3917, 4815, 6062, 6958, 7900, 504, 1494, 2378, 3656, 4266, 5414, 6840, 7817, 1084, 1323, 3044, 3273, 5055, 6052, 6964, 7918, 614, 1794, 2969, 3732, 5125, 5776, 7023, 8235, 1057, 2095, 2378, 3274, 4615, 5871, 6525, 8104, 887, 1244, 2918, 3983, 4364, 6056, 6563, 7349, 103, 1682, 2946, 4003, 4901, 6007, 6751, 7660, 1090, 1834, 2797, 3417, 4509, 6135, 7149, 7873, 1081, 2033, 2601, 4096, 4555, 6063, 7085, 7559, 401, 1550, 3007, 3751, 4623, 5413, 7220, 7918, 804, 1998, 2556, 4145, 5080, 5974, 6740, 8245, 956, 1945, 3135, 3886, 5166, 6129, 6589, 8260, 956, 1620, 3043, 3710, 4888, 6051, 6566, 7949, 956, 1791, 2880, 4071, 4980, 6051, 6972, 8260, 935, 1847, 3064, 3982, 4980, 6129, 6996, 8260, 225, 2034, 2854, 3873, 4359, 5704, 7103, 8036, 699, 1112, 2554, 3376, 4606, 5548, 6414, 7965, 183, 2061, 2138, 3726, 4398, 6086, 6789, 7537, 105, 2106, 2761, 3914, 5138, 5580, 6809, 7677, 859, 1675, 2947, 3990, 4551, 5705, 6632, 7677, 160, 1388, 3037, 4125, 5081, 5870, 6619, 7906, 271, 1526, 2363, 4125, 4495, 6164, 7041, 7497, 639, 2009, 2951, 3604, 4235, 6096, 6841, 7477, 1049, 1347, 2751, 3508, 5138, 5860, 6467, 7869, 776, 1178, 2656, 3965, 4996, 6092, 7055, 7378, 938, 1349, 3141, 3463, 4364, 5978, 6974, 7919, 390, 1278, 2636, 3660, 4834, 5978, 7160, 7614, 571, 1363, 2151, 4018, 4918, 6204, 7058, 8235, 663, 1577, 2638, 3692, 5088, 5892, 6540, 7421, 1056, 1747, 2980, 4027, 5165, 5678, 6972, 8185, 211, 1881, 3006, 4152, 5088, 5901, 6776, 7476, 663, 1797, 2996, 3710, 4782, 5901, 7207, 8185, 804, 2046, 2838, 3710, 4912, 5694, 7077, 7876, 419, 2041, 3110, 3550, 4822, 5705, 6988, 8267, 228, 1961, 2181, 4166, 4549, 6097, 6604, 8126, 654, 1633, 2340, 3879, 5079, 5942, 6338, 7876, 240, 2127, 2725, 3230, 4764, 6137, 6607, 7831, 228, 1623, 2287, 3394, 4267, 5515, 6877, 8080, 228, 2060, 2332, 3227, 4622, 5901, 7090, 7303, 228, 1851, 2725, 3518, 5179, 5550, 6752, 7877, 228, 1961, 2880, 4125, 4387, 5514, 6752, 7303, 228, 1750, 2359, 4153, 4622, 6175, 6338, 8093, 228, 2097, 3133, 3425, 4985, 5678, 7006, 7732, 256, 1961, 2137, 3555, 4536, 6062, 6752, 8126, 419, 1684, 2554, 3595, 5120, 5413, 7090, 7476, 860, 1622, 2806, 3825, 4704, 5677, 6752, 7677, 488, 1622, 2914, 3595, 4624, 5892, 6996, 7563, 488, 1622, 2914, 3825, 4888, 6139, 7226, 7563, 488, 1528, 3117, 3367, 4624, 6139, 7077, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8147, 488, 1528, 2970, 3893, 4624, 6139, 7226, 7664, 915, 2017, 2858, 4145, 4681, 5635, 6996, 8147, 555, 1974, 3021, 3914, 4870, 5892, 7100, 7485, 555, 1648, 3021, 3374, 4890, 5241, 7077, 7723, 915, 1974, 2729, 4071, 4870, 5678, 7152, 7641, 915, 1974, 2792, 4068, 5079, 5963, 7120, 7831, 488, 1648, 2970, 4071, 4681, 6139, 7077, 8196, 488, 1622, 3065, 3893, 4624, 5241, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 2017, 2164, 3893, 4624, 5635, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 53, 39, 28, 47, 5, 54, 33, 75, 35, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 915, 1304, 2164, 4145, 4890, 5901, 6752, 8196, 639, 1349, 3043, 3961, 4762, 5843, 6410, 7895, 249, 1375, 2309, 3180, 4572, 5314, 7154, 7394, 179, 1296, 2953, 3368, 4338, 5393, 6814, 8018, 363, 1496, 2700, 3213, 5158, 5551, 6238, 7634, 150, 1388, 2721, 3973, 5073, 5865, 6529, 8149, 304, 1892, 2871, 3374, 5159, 5478, 6298, 8031, 504, 1637, 2741, 3454, 4533, 6175, 7090, 7706, 401, 1543, 2669, 3917, 4226, 5980, 6251, 8195, 304, 1566, 2783, 3803, 4533, 5219, 6830, 8126, 216, 1783, 2439, 4130, 4536, 6147, 6988, 7256, 955, 1777, 2996, 3537, 4630, 6156, 6515, 7584, 401, 1635, 2582, 4093, 4912, 5241, 7207, 7706, 401, 1998, 2167, 3826, 5159, 5661, 6849, 7717, 610, 1797, 2870, 4067, 4374, 5901, 7160, 8237, 304, 2000, 2629, 3826, 4622, 5705, 7218, 7557, 216, 1992, 2924, 3710, 5106, 5219, 6719, 8085, 731, 2091, 3053, 3756, 4626, 5515, 7205, 8266, 392, 1141, 2638, 3992, 4861, 5767, 6265, 7678, 335, 1886, 2940, 3218, 4536, 5687, 6270, 7965, 391, 2059, 2232, 3298, 4527, 5836, 7047, 8236, 668, 1283, 2232, 4078, 4861, 5824, 6627, 7546, 397, 1315, 2761, 3215, 4493, 5470, 6772, 7966, 986, 1178, 2142, 4092, 5073, 5584, 6923, 7741, 807, 1567, 2740, 3376, 5092, 5934, 6734, 7825, 986, 1566, 2142, 3270, 5005, 5844, 7163, 7389, 807, 1562, 2842, 4073, 4934, 5976, 6592, 7858, 540, 1550, 3029, 3479, 4807, 5824, 6225, 7813, 487, 1915, 2794, 3727, 4739, 5976, 7003, 7488, 487, 1915, 2352, 3376, 4604, 6154, 6286, 8240, 405, 1978, 2886, 3704, 4589, 5929, 6908, 7627, 1097, 1485, 3095, 3671, 4801, 5981, 7120, 8076, 684, 1238, 2360, 3990, 5159, 5573, 7132, 8179, 390, 1587, 2838, 4033, 5061, 6211, 7218, 7965, 308, 1791, 2924, 3226, 5038, 6103, 6786, 8267, 807, 1198, 2732, 3987, 5070, 6163, 6719, 7657, 839, 1732, 2188, 3398, 4417, 5800, 6813, 8086, 986, 1388, 2751, 3631, 4270, 5651, 6680, 7363, 850, 1942, 2131, 3691, 4236, 5893, 6267, 8227, 487, 1581, 2795, 3307, 4364, 5843, 6528, 8092, 807, 1978, 2584, 3613, 5122, 5706, 6414, 7756, 582, 1350, 2492, 3329, 4402, 5880, 6563, 7675, 1040, 1550, 2751, 3508, 5052, 5485, 6413, 7852, 104, 1674, 2751, 3776, 5084, 5614, 7075, 7468, 993, 1550, 2597, 3773, 4223, 5880, 7229, 7737, 610, 1238, 2783, 4128, 4604, 5573, 6497, 8166, 150, 1255, 2241, 3810, 4855, 5687, 7168, 8076, 150, 1255, 2636, 3991, 5072, 5332, 6642, 7720, 150, 1255, 2636, 3169, 4288, 5953, 6520, 7774, 826, 1255, 2173, 3191, 4191, 6056, 7241, 7528, 1025, 1918, 2173, 3917, 4966, 6125, 7035, 8126, 643, 1388, 2659, 3454, 4575, 5784, 6403, 7631, 840, 1721, 3042, 3165, 4601, 5640, 6648, 7453, 1004, 1938, 2842, 3467, 4321, 6179, 6648, 7781, 737, 2009, 2665, 3329, 4652, 5492, 6494, 8016, 737, 1104, 2748, 3329, 4621, 5551, 6456, 7483, 161, 1494, 2137, 3329, 4684, 6135, 6354, 8156, 997, 1996, 2953, 3202, 4417, 6135, 6624, 7840, 1017, 1489, 2751, 3340, 5110, 6135, 6677, 7621, 113, 1769, 2429, 3239, 4427, 6135, 7125, 7360, 940, 1141, 2457, 3440, 4374, 5810, 6613, 8132, 440, 1369, 3095, 4026, 4983, 5279, 6669, 8044, 390, 1560, 2391, 4011, 5085, 5223, 6539, 7880, 833, 1125, 2975, 3364, 5155, 6222, 6830, 8107, 844, 1560, 2729, 3771, 4437, 5756, 6921, 7677, 113, 1141, 2498, 4036, 4906, 6166, 6998, 7785, 693, 1512, 3047, 3233, 4641, 5766, 7214, 7785, 1038, 1730, 2905, 3179, 4382, 6203, 6369, 7962, 91, 1893, 2905, 3965, 4372, 6160, 6625, 7869, 827, 1762, 2440, 3696, 4321, 5545, 6908, 7911, 738, 1865, 2440, 3822, 4569, 5263, 6963, 7576, 265, 1681, 2564, 3158, 4800, 5999, 7074, 7973, 693, 1119, 3047, 4025, 4544, 5934, 7065, 7837, 738, 1510, 2979, 3688, 4678, 5374, 7247, 8101, 235, 2057, 2741, 3714, 4244, 5374, 6889, 7745, 1088, 1865, 2494, 3639, 4384, 5390, 6504, 7827, 1063, 1750, 2708, 3424, 4214, 5489, 6897, 8044, 1047, 1309, 2775, 3669, 4713, 6114, 6818, 8131, 1091, 1496, 2165, 3472, 5150, 6132, 6515, 7561, 510, 1139, 2391, 4168, 4544, 5499, 6530, 8061, 935, 1623, 3109, 3891, 4415, 5761, 6566, 8195, 186, 1475, 2996, 4166, 4287, 5385, 6467, 7831, 488, 2017, 2781, 3825, 4888, 5901, 6794, 7723, 488, 1622, 2806, 3893, 4888, 6139, 6794, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 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, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 64, 17, 53, 5, 53, 57, 54, 44, 55, 5, 44, 54, 5, 62, 39, 54, 5, 31, 14, 66, 5, 48, 75, 44, 54, 5, 16, 5, 64, 57, 52, 50, 35, 78, 5, 64, 66, 63, 33, 55, 51, 67, 5, 51, 69, 30, 5, 54, 11, 66, 5, 28, 33, 63, 5, 64, 26, 52, 16, 54, 66, 52, 47, 3, 228, 2111, 3084, 3844, 4586, 5880, 6973, 8012, 654, 1826, 2242, 3348, 4186, 5594, 7132, 7706, 654, 2065, 3084, 3844, 4191, 5364, 7079, 7385, 518, 2088, 3006, 4124, 4536, 6157, 6901, 7865, 256, 1719, 3084, 3230, 5120, 5924, 6582, 8214, 356, 1756, 2959, 3550, 5145, 5687, 7100, 7716, 392, 1730, 2331, 3537, 4762, 5500, 6547, 7790, 723, 1968, 2848, 3159, 4806, 5510, 7212, 7759, 784, 1162, 2361, 4021, 4333, 6135, 6957, 8026, 266, 1805, 2296, 3154, 5069, 5548, 7028, 7992, 363, 1483, 2173, 3630, 4594, 5476, 6541, 7807, 360, 1271, 3140, 3727, 4848, 5272, 6422, 7449, 266, 1180, 2566, 3404, 4777, 6038, 7220, 8035, 504, 1279, 2894, 4090, 5098, 5787, 6711, 7688, 304, 1238, 3020, 4067, 4444, 5931, 7045, 7733, 731, 1326, 2772, 3259, 4332, 5572, 7150, 7586, 948, 2095, 3092, 3605, 5079, 5893, 7173, 7764, 731, 1992, 2693, 3987, 4764, 5650, 7150, 7591, 948, 1543, 2258, 3631, 4444, 5202, 6762, 7767, 942, 1543, 2175, 3873, 4212, 5978, 7242, 8231, 223, 1167, 2175, 3456, 4470, 6204, 6872, 7815, 970, 2066, 3080, 3916, 5152, 5561, 6564, 7997, 731, 1838, 2945, 3521, 5107, 6114, 6224, 8181, 223, 1167, 2901, 3517, 4537, 5810, 6772, 8259, 216, 1548, 2923, 3239, 4537, 5939, 7162, 7679, 776, 1674, 2933, 3440, 4978, 5481, 6608, 7869, 1033, 1838, 2732, 3358, 4720, 5221, 6408, 8266, 887, 1838, 3053, 3383, 4994, 5653, 6224, 8052, 692, 1812, 2966, 4000, 4722, 5784, 6735, 7987, 540, 1469, 3014, 3434, 4614, 5696, 6617, 7873, 557, 1469, 2135, 3754, 4597, 5976, 7053, 7693, 266, 1469, 2280, 3399, 5031, 5770, 6262, 7637, 314, 1469, 2785, 4130, 4500, 5747, 6577, 7814, 632, 1469, 2581, 3620, 4893, 5787, 6533, 8052, 1024, 2050, 2907, 3875, 4542, 5538, 7135, 7873, 1024, 1345, 2835, 4016, 4989, 5579, 6733, 7593, 547, 1345, 2643, 3565, 5118, 5884, 7002, 7373, 938, 1912, 2207, 4155, 4341, 5203, 6383, 8014, 938, 1826, 3073, 3751, 5072, 5701, 6648, 7800, 1011, 1561, 2291, 4068, 4912, 6063, 7198, 8041, 678, 1669, 3053, 3776, 5153, 5844, 6827, 7524, 1024, 1400, 2709, 4096, 4861, 5573, 6721, 7677, 668, 1283, 2282, 3502, 4534, 6040, 6746, 7927, 545, 1234, 2327, 3493, 4859, 5321, 7114, 7603, 545, 1356, 2655, 3356, 5081, 6035, 6248, 7582, 938, 1829, 2137, 3159, 4457, 5584, 7244, 8132, 1011, 1655, 2764, 3500, 4457, 5925, 6756, 7821, 391, 1463, 2705, 4162, 5122, 5874, 6265, 7631, 948, 2095, 2256, 3631, 5011, 5935, 6402, 7396, 582, 2067, 2346, 3937, 4556, 5300, 6760, 7684, 986, 1178, 2253, 3576, 4458, 5300, 7229, 7997, 1074, 1550, 2404, 3215, 4459, 6074, 6309, 7868, 1036, 1550, 2824, 3967, 4848, 5257, 6422, 8044, 862, 1749, 2605, 3174, 4887, 5615, 6747, 7997, 1024, 1241, 3040, 4155, 4423, 5950, 6410, 7873, 731, 1299, 2865, 3806, 4274, 6179, 6958, 8016, 767, 1886, 2888, 4073, 4513, 5695, 6932, 8137, 223, 2024, 2142, 3206, 4440, 5344, 6337, 7908, 731, 1669, 2659, 3832, 4690, 6175, 6579, 7966, 678, 2008, 2659, 4082, 5159, 5963, 7152, 8126, 308, 2001, 3007, 3932, 5166, 5705, 6972, 7631, 1097, 1791, 2947, 3909, 4782, 5981, 7006, 7658, 818, 1847, 3095, 4018, 4980, 5705, 6752, 8260, 510, 1175, 2880, 3516, 5038, 5832, 6988, 8196, 935, 1508, 3007, 3982, 4583, 6081, 6752, 8179, 221, 1760, 2310, 3370, 4327, 5290, 6452, 8102, 552, 1490, 3043, 3990, 5080, 5901, 6605, 8213, 390, 1490, 3053, 3510, 5020, 5868, 6604, 8030, 1052, 1349, 2912, 3700, 4834, 6206, 6779, 8205, 234, 1616, 3134, 4043, 4495, 5875, 6625, 7624, 234, 1550, 2249, 3455, 5062, 6054, 6885, 7545, 862, 1550, 2420, 3356, 4823, 5613, 6822, 7599, 1080, 1550, 2764, 3356, 4665, 5634, 6383, 7842, 363, 1550, 2476, 3464, 4541, 5950, 6640, 7964, 807, 1554, 2279, 3464, 4316, 5318, 7154, 7359, 1004, 1637, 3029, 3582, 4920, 5506, 6249, 7486, 986, 1779, 2751, 3476, 4746, 5755, 6762, 7603, 1101, 1948, 2387, 3329, 4532, 5339, 6538, 7270, 936, 1164, 3112, 3869, 4539, 5640, 6762, 7786, 807, 2068, 3116, 3515, 4323, 5507, 6905, 8129, 314, 1289, 3029, 3159, 4774, 5447, 6944, 7379, 487, 1393, 2701, 3551, 4604, 5443, 6431, 7594, 487, 1863, 2771, 3752, 4686, 5925, 7229, 7987, 487, 1212, 2678, 3172, 4900, 5313, 6757, 7510, 1057, 1924, 2258, 3994, 4604, 5700, 6822, 7529, 150, 1858, 2348, 3901, 4936, 5557, 6830, 8024, 150, 1141, 3101, 4082, 4652, 5671, 6954, 7367, 887, 1510, 2391, 3472, 4374, 6137, 6603, 7806, 1025, 1510, 2214, 3778, 4374, 6040, 6443, 8068, 424, 1141, 2926, 4035, 4561, 5512, 7010, 8261, 684, 1998, 2970, 3710, 5115, 5865, 6514, 8260, 935, 2046, 2803, 3886, 4870, 5883, 6677, 7949, 914, 2000, 3007, 4145, 5038, 6103, 7168, 7664, 914, 1915, 2781, 3886, 5183, 6129, 7207, 8179, 555, 1791, 2833, 4115, 5080, 6103, 6515, 7641, 617, 1791, 2775, 3374, 5166, 6137, 7095, 7716, 617, 1930, 2941, 3407, 4681, 5385, 6810, 7918, 757, 1471, 2941, 4166, 4859, 5981, 6605, 7496, 183, 2106, 2969, 4092, 4844, 6163, 7160, 8126, 617, 1304, 2969, 3231, 4870, 5963, 6671, 8054, 617, 2127, 3000, 3470, 5083, 5385, 6810, 8164, 617, 1147, 2970, 3407, 4737, 5385, 6529, 7831, 617, 2111, 3062, 4006, 4555, 5305, 6579, 8261, 105, 2127, 2792, 3407, 5134, 5514, 6589, 7732, 105, 2106, 2941, 3891, 4727, 5963, 7006, 8261, 552, 2127, 2340, 3914, 5157, 5296, 6466, 8130, 915, 1648, 3021, 3891, 4704, 5811, 6579, 8223, 488, 1756, 2806, 3893, 4398, 5241, 6794, 8164, 860, 1528, 2806, 3803, 4704, 6081, 7124, 7766, 860, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 818, 1648, 2806, 3893, 4798, 6186, 6794, 7723, 555, 1528, 2991, 4018, 5104, 5892, 6996, 7723, 948, 2083, 2775, 3981, 4691, 6016, 6774, 8236, 360, 1510, 2787, 3889, 5026, 5906, 7188, 7620, 141, 1324, 2487, 3956, 4364, 5823, 7068, 7616, 458, 1296, 3029, 3353, 4620, 5313, 7224, 8086, 103, 2079, 3003, 3811, 4251, 6147, 7229, 8085, 308, 2000, 2371, 3891, 5010, 5802, 7207, 7870, 231, 1817, 2128, 4101, 5160, 5991, 7098, 7349, 1056, 1874, 2839, 3848, 4902, 5379, 6604, 7992, 356, 2034, 3101, 3201, 4609, 6172, 7075, 8188, 914, 2000, 2718, 4107, 4902, 6160, 7052, 7303, 915, 1961, 2996, 3440, 5166, 5548, 7090, 8083, 510, 1845, 3065, 3550, 4877, 6051, 6671, 7876, 899, 1961, 3064, 4011, 4555, 5548, 7220, 7527, 1059, 1706, 2399, 3487, 5081, 5824, 7168, 7966, 582, 1249, 3074, 3496, 4946, 5664, 7183, 7724, 722, 1928, 2232, 3245, 4644, 5765, 6453, 8238, 986, 1912, 3080, 4015, 4541, 5492, 6864, 8114, 545, 1669, 3052, 3888, 4466, 5893, 6269, 7752, 582, 1315, 2946, 3592, 4443, 5479, 6995, 8132, 722, 1886, 2989, 3592, 5083, 5674, 6777, 7721, 1024, 1400, 2792, 3393, 4267, 5551, 7078, 7794, 951, 1723, 2865, 3987, 4670, 5844, 6997, 8266, 571, 1847, 2923, 3352, 5020, 5413, 6688, 7948, 1047, 1562, 3095, 4145, 4470, 5610, 6340, 8016, 537, 1415, 3144, 3987, 4651, 5797, 7173, 7482, 948, 1686, 2163, 4162, 4651, 5749, 6514, 7528, 1098, 1770, 2188, 3870, 4828, 6133, 6709, 8032, 942, 2091, 3053, 3605, 4259, 5727, 7131, 8132, 767, 1912, 2440, 3430, 4760, 5413, 6276, 8060, 223, 1275, 2868, 3605, 4896, 5519, 6871, 7745, 1006, 1972, 2282, 4155, 4644, 5770, 6614, 8192, 692, 1183, 2546, 4096, 4720, 5491, 7173, 7920, 1080, 1183, 2304, 3375, 4181, 6054, 6263, 7610, 1067, 1917, 2290, 3217, 4338, 5285, 6938, 7669, 504, 1400, 2363, 3306, 4399, 6204, 6235, 7721, 678, 1509, 2926, 3790, 4955, 6024, 6402, 7727, 183, 1675, 2429, 4093, 4691, 5216, 6529, 8098, 699, 1633, 2340, 4125, 5106, 5888, 6612, 8266, 195, 1596, 2316, 3563, 4644, 6157, 7120, 7773, 518, 1175, 2469, 3782, 4859, 5610, 6677, 8128, 654, 2108, 2693, 3350, 4642, 6120, 7168, 7677, 654, 2073, 2986, 3350, 5053, 5223, 6889, 7494, 654, 2111, 2473, 3623, 4512, 5840, 6579, 8236, 654, 1826, 2335, 3434, 4764, 5493, 6996, 8237, 654, 1826, 2792, 3933, 4764, 5397, 7133, 7873, 225, 2065, 2316, 3574, 5088, 5689, 6740, 8266, 568, 1826, 2554, 3951, 4193, 6083, 6251, 8179, 645, 1173, 2188, 3771, 4834, 6097, 6525, 7313, 556, 1770, 2667, 4025, 5019, 5373, 6963, 7585, 805, 1156, 2173, 3870, 5023, 5947, 6676, 7439, 864, 1686, 2764, 3760, 4273, 5600, 6896, 8123, 1024, 1469, 3073, 3447, 5191, 5592, 6963, 7835, 1024, 1469, 2247, 3601, 4700, 5327, 7213, 7403, 547, 1440, 3108, 4137, 4389, 5991, 6995, 8229, 970, 1912, 3060, 3967, 5199, 5946, 6872, 8205, 970, 1190, 2570, 3967, 4987, 6171, 6333, 8189, 970, 1400, 2423, 3420, 4399, 6066, 6952, 8033, 1047, 1847, 2173, 3496, 4983, 6194, 7133, 8135, 216, 1504, 2163, 4006, 4918, 5515, 7127, 8066, 308, 1705, 3006, 3909, 4513, 5705, 6688, 7948, 308, 1850, 2839, 4026, 5096, 5653, 7152, 7421, 568, 1388, 2687, 3746, 4205, 5695, 7012, 7563, 1020, 1227, 3075, 3994, 5184, 5923, 6840, 8098, 103, 1206, 2991, 3470, 5012, 6118, 7149, 8262, 692, 1637, 2315, 3934, 5096, 5942, 6938, 7980, 692, 1373, 2506, 3446, 5190, 5425, 7007, 7904, 862, 2090, 2579, 4021, 4709, 6052, 6895, 8240, 864, 1710, 2708, 3391, 4443, 5733, 6442, 8169, 643, 1710, 2796, 3340, 4745, 5777, 6410, 8194, 401, 1596, 3037, 4112, 4670, 5220, 6890, 7838, 225, 1797, 2560, 3611, 5040, 5536, 7157, 7510, 225, 2002, 3130, 3764, 5103, 5548, 6890, 7537, 225, 2065, 3095, 4113, 5061, 5580, 7160, 8266, 225, 2002, 2959, 3394, 4527, 5610, 6291, 7538, 225, 1736, 2754, 3391, 5007, 6175, 6671, 8185, 518, 1596, 3000, 3595, 4912, 5493, 6515, 7367, 225, 2065, 2791, 4085, 4890, 5624, 6715, 7384, 228, 1426, 2775, 3391, 4459, 5677, 7019, 8073, 228, 1426, 2775, 4006, 5142, 5892, 7152, 7715, 518, 1440, 2941, 3891, 4870, 5771, 6255, 7260, 256, 1974, 2992, 4166, 4225, 6062, 7160, 7706, 859, 2127, 2970, 4015, 5166, 5514, 7120, 7732, 859, 2127, 2992, 3470, 4870, 5678, 7019, 8262, 859, 2111, 2833, 4006, 4555, 5677, 7103, 7838, 878, 2077, 2340, 3933, 4870, 5413, 7090, 7723, 541, 2018, 2970, 3572, 5179, 5289, 6734, 8137, 878, 2018, 3080, 4114, 5179, 5965, 6997, 7774, 223, 1736, 2955, 3582, 4439, 6149, 6678, 7805, 1067, 1333, 2332, 3165, 4372, 5555, 6313, 8226, 249, 1504, 3068, 3905, 4500, 5466, 7063, 8193, 363, 1372, 2151, 3476, 4353, 5212, 6698, 7737, 487, 2055, 2272, 3329, 4725, 5993, 7091, 7777, 807, 1914, 3116, 3991, 4949, 5435, 6383, 7854, 887, 1674, 3106, 3424, 5077, 5443, 6764, 7488, 887, 2033, 2429, 3986, 4364, 5713, 6612, 7711, 104, 1797, 2810, 3943, 4592, 5461, 6626, 8078, 390, 1711, 2261, 3803, 4419, 5983, 6254, 7311, 955, 1858, 3061, 3732, 5104, 5548, 6830, 7776, 1037, 1280, 3053, 3886, 5183, 6051, 7207, 7876, 512, 1146, 2946, 3955, 4551, 6103, 7218, 7723, 663, 1280, 3064, 3990, 5061, 5216, 7207, 8266, 1097, 1791, 2880, 4006, 5080, 5901, 6604, 8066, 256, 2063, 3147, 3838, 4387, 5436, 6776, 7574, 518, 1736, 2875, 3413, 4275, 6016, 6848, 8078, 518, 1644, 2488, 3885, 4870, 5749, 7132, 7806, 256, 1750, 2223, 3234, 5130, 6175, 7082, 7303, 617, 2065, 2473, 3662, 5130, 6175, 7082, 7941, 105, 1424, 2454, 3866, 4344, 5436, 6752, 8237, 488, 2111, 2970, 3825, 4549, 5963, 7152, 7717, 201, 2017, 2806, 3825, 4549, 6081, 7124, 8223, 860, 1528, 2806, 3893, 4624, 6139, 7239, 8196, 488, 2017, 2806, 3893, 4624, 6139, 7226, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 6794, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 293, 1237, 2301, 3381, 4881, 5594, 6608, 7835, 473, 1585, 2424, 3932, 4980, 6149, 7109, 8157, 448, 1644, 3092, 3309, 4287, 6038, 6388, 7898, 650, 1635, 3038, 3430, 5130, 6159, 6881, 7664, 1080, 1407, 2348, 3472, 5103, 5915, 6818, 7616, 1052, 1441, 2741, 3714, 4789, 6015, 7040, 8254, 308, 1596, 2462, 3951, 4213, 5580, 7132, 7661, 914, 1540, 2860, 3671, 4191, 5534, 7132, 7782, 356, 1995, 2709, 3996, 4936, 5706, 6521, 8227, 804, 1175, 3080, 3932, 4589, 6146, 7218, 7485, 833, 1553, 3128, 3838, 4651, 5276, 6830, 8126, 663, 1370, 2783, 4064, 4387, 6123, 6776, 8093, 1033, 1668, 2369, 4082, 5020, 5435, 6908, 7262, 1025, 1629, 2678, 3210, 4254, 5267, 6571, 8258, 1040, 1255, 2846, 3424, 4955, 5784, 6478, 7759, 293, 2107, 2260, 3293, 4786, 5633, 6390, 7913, 569, 2088, 2757, 3578, 4728, 5260, 6659, 7475, 1084, 1850, 2822, 4025, 4185, 5553, 6550, 8013, 1062, 1146, 2741, 3306, 4471, 5576, 6386, 8127, 776, 1974, 2998, 3289, 4781, 5620, 6229, 7336, 776, 1609, 2353, 3909, 5134, 5236, 6234, 8226, 1099, 1218, 2783, 3932, 5060, 5968, 6668, 7806, 935, 2000, 3110, 3710, 4828, 6051, 7058, 7720, 935, 1791, 2975, 3188, 4536, 6129, 7149, 7908, 818, 2046, 2925, 3440, 4888, 6175, 6988, 7949, 818, 2017, 2164, 3893, 4704, 6103, 6709, 7949, 956, 1528, 3135, 4018, 4624, 6085, 6709, 7806, 956, 1620, 2781, 3990, 4624, 6103, 7226, 8223, 956, 1945, 2838, 4174, 4888, 6081, 6709, 7782, 955, 1750, 2936, 3909, 5038, 5378, 7077, 8260, 955, 1924, 2924, 4085, 4925, 5485, 7111, 7732, 211, 1700, 2924, 4085, 5159, 5612, 7239, 7641, 1052, 1320, 2244, 3788, 5091, 5766, 6951, 8017, 993, 1116, 2561, 3395, 4855, 5325, 7070, 7867, 569, 1832, 2955, 3513, 4321, 5618, 6484, 7516, 766, 2036, 2544, 3416, 4358, 6002, 6974, 7767, 880, 1636, 2502, 3245, 4359, 6114, 6345, 8199, 487, 1327, 2836, 3517, 4604, 5971, 6866, 7881, 1038, 1397, 3074, 3869, 4211, 6204, 6478, 7975, 876, 1990, 2705, 3236, 4539, 6142, 6899, 8178, 1067, 1938, 2751, 3351, 4365, 5681, 6474, 8269, 840, 1273, 2271, 4026, 4736, 5894, 6550, 7391, 404, 2036, 2987, 3493, 5070, 5965, 6755, 7985, 992, 1703, 2987, 3660, 4254, 6028, 6267, 7538, 992, 1703, 2759, 3578, 4434, 5441, 6328, 8063, 1038, 1919, 2182, 3375, 5095, 6169, 7085, 7966, 1038, 1728, 2436, 3547, 4214, 5368, 6574, 7673, 776, 1710, 2946, 4072, 4323, 6056, 6814, 7538, 211, 1510, 2469, 3982, 4809, 6117, 6639, 7478, 756, 1171, 2880, 3456, 4549, 5705, 6486, 8245, 225, 1210, 2262, 4103, 4717, 5400, 6654, 8039, 225, 2060, 3059, 3798, 4555, 5385, 7152, 7795, 225, 1851, 3133, 3376, 4782, 5210, 7129, 7773, 654, 2097, 2554, 4125, 5135, 5210, 6901, 7806, 240, 1756, 3133, 4006, 5138, 5666, 7237, 7715, 228, 2060, 3144, 3516, 4423, 6157, 6579, 7485, 518, 2002, 2959, 3803, 5120, 5534, 7129, 7865, 518, 1645, 2946, 3891, 4555, 6110, 7219, 7732, 228, 1346, 2976, 3692, 5138, 5650, 7129, 7641, 183, 1851, 2669, 3391, 5075, 6179, 6551, 7919, 552, 1468, 2340, 3592, 4993, 5658, 7162, 7563, 731, 1660, 2629, 3487, 4867, 6051, 7120, 7290, 249, 1650, 2294, 3454, 4647, 5950, 7046, 7267, 835, 1393, 3029, 3479, 4286, 5251, 6923, 7516, 494, 1393, 3029, 3924, 4905, 6154, 6875, 7845, 1041, 1990, 2762, 3684, 4723, 5973, 6476, 7472, 339, 1311, 2235, 4000, 4539, 5671, 7053, 7293, 265, 1489, 2751, 3390, 5154, 5363, 7202, 7405, 1062, 1486, 2327, 3508, 4667, 5408, 6943, 7894, 776, 1636, 2678, 3514, 4737, 5473, 6889, 8061, 1024, 1455, 3029, 3309, 4384, 5884, 6664, 7582, 970, 2107, 2469, 3613, 4913, 6210, 6234, 7915, 424, 1175, 2573, 3391, 5115, 6141, 6224, 8066, 1090, 2073, 2998, 3582, 4811, 5835, 6871, 8017, 610, 2073, 2258, 3430, 4859, 5984, 7005, 7648, 424, 1978, 2925, 3251, 4248, 6131, 7160, 7908, 271, 1992, 2728, 3562, 4335, 5223, 6244, 8140, 1057, 1986, 2429, 4136, 4321, 5423, 6388, 8061, 778, 1252, 2751, 3843, 4191, 5651, 6328, 7598, 536, 1139, 2798, 4007, 5161, 5538, 6542, 7852, 113, 1821, 2610, 3245, 5096, 5513, 6614, 7402, 1084, 1171, 2750, 3394, 4364, 5871, 6468, 7337, 663, 1463, 2946, 3908, 5011, 5818, 6515, 7248, 424, 1931, 2365, 3410, 4686, 5784, 6239, 8229, 663, 1399, 2515, 3917, 5058, 5539, 7051, 7570, 831, 1534, 2515, 3891, 4895, 6136, 7114, 7570, 427, 1994, 2436, 3671, 4512, 5379, 6648, 7717, 1099, 1635, 3064, 4011, 4888, 6205, 6972, 7631, 1097, 2046, 3043, 3990, 4583, 6211, 7201, 7876, 568, 2097, 2946, 3904, 4663, 5641, 6417, 8079, 757, 1467, 2409, 3595, 4573, 5514, 6776, 7480, 231, 1540, 2678, 3595, 5168, 5474, 6715, 7960, 610, 1986, 2721, 4067, 4839, 5777, 7041, 7570, 913, 1860, 2933, 3649, 5078, 5512, 6584, 7846, 938, 1596, 2975, 3479, 5081, 5557, 6509, 7474, 620, 1171, 2361, 3521, 4364, 5610, 6615, 8181, 261, 1349, 2497, 3508, 4345, 5800, 6386, 8169, 730, 1832, 2751, 3417, 4278, 5547, 6857, 7636, 662, 1942, 2871, 3501, 4694, 5341, 6670, 7288, 662, 1397, 2379, 3562, 4256, 5827, 6562, 8168, 495, 1621, 2748, 3605, 4995, 5606, 7222, 8040, 103, 2067, 2751, 3818, 4606, 5347, 6944, 7777, 103, 1146, 2695, 3822, 4239, 5341, 6507, 7804, 356, 1175, 2924, 3246, 4809, 5651, 6896, 7869, 859, 1847, 2941, 3671, 5159, 5396, 6677, 8117, 1099, 2068, 3021, 3827, 4555, 5765, 7084, 8185, 488, 1845, 2746, 3827, 4782, 5883, 7120, 8260, 818, 2017, 2781, 4115, 4782, 5635, 6709, 7806, 935, 1992, 3007, 4166, 5166, 5630, 6996, 8195, 818, 1622, 3095, 4018, 5106, 5705, 7239, 7766, 818, 1622, 2914, 3645, 4624, 6129, 6752, 8223, 818, 1528, 2914, 3645, 4870, 5630, 7201, 7641, 555, 2017, 2833, 3825, 4512, 6081, 7120, 8185, 555, 1974, 2833, 3827, 4622, 5534, 6979, 8223, 555, 1147, 2833, 4168, 4615, 5514, 6988, 7641, 555, 1974, 2833, 3391, 4681, 5413, 7077, 7865, 915, 1147, 2554, 3891, 5160, 6163, 6688, 8261, 555, 1648, 2833, 3425, 4549, 5811, 6579, 8080, 555, 1468, 3021, 4153, 5038, 5901, 6584, 8237, 915, 1622, 3021, 3893, 4512, 6139, 6996, 7865, 555, 1468, 3021, 4153, 5038, 6163, 7077, 8223, 915, 1622, 2858, 3827, 4583, 6139, 7077, 7865, 555, 1648, 2858, 3827, 4624, 5527, 6752, 7485, 915, 2017, 2806, 3391, 4798, 5550, 6752, 7766, 915, 2017, 2914, 3914, 4512, 5241, 6988, 7715, 915, 1528, 2833, 3374, 4624, 5678, 6996, 8261, 488, 1528, 3065, 3893, 4624, 6139, 6752, 8196, 488, 1528, 3065, 3893, 4512, 6139, 6752, 8223, 4, 2 ]

[ 1, 31, 16, 5, 42, 33, 64, 66, 5, 66, 69, 51, 5, 76, 17, 54, 5, 16, 54, 30, 5, 64, 76, 11, 52, 56, 30, 5, 45, 66, 5, 5, 3, 201, 2017, 2914, 3982, 4704, 5832, 7201, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 488, 1528, 2164, 3893, 4624, 6081, 7124, 7766, 1056, 1777, 2366, 4018, 5038, 5385, 7124, 7876, 767, 1881, 3098, 3975, 4179, 5802, 6776, 8266, 948, 1871, 2924, 3982, 4374, 6083, 6809, 8044, 942, 2102, 2139, 3582, 4318, 5824, 7048, 7717, 611, 1707, 2762, 3310, 4529, 5200, 7085, 7527, 840, 1283, 2561, 3528, 4543, 6006, 6528, 8033, 781, 2058, 2365, 3324, 4392, 5642, 6799, 8097, 308, 1164, 2210, 3191, 4775, 5730, 6465, 8213, 512, 1869, 3098, 3973, 5159, 5573, 7218, 8188, 804, 2020, 3095, 3188, 4870, 6211, 7207, 7811, 427, 1675, 3007, 3891, 5107, 6001, 6646, 7557, 120, 1937, 2874, 3608, 4191, 5932, 6645, 7395, 767, 2098, 2222, 4068, 4586, 6149, 6265, 7625, 664, 1668, 2717, 3862, 4775, 5334, 6402, 7318, 611, 1807, 2831, 3475, 4673, 5598, 6424, 7494, 1006, 1526, 2488, 4106, 4889, 5708, 7140, 8229, 930, 1332, 3101, 3854, 4199, 6102, 7133, 8061, 511, 1323, 2997, 3793, 4257, 5848, 6422, 8062, 611, 1832, 2721, 3501, 4702, 5634, 7135, 8138, 868, 2024, 2151, 3313, 4251, 5704, 7223, 7870, 256, 1499, 2626, 3931, 4318, 5472, 6478, 7413, 654, 1597, 2875, 4083, 4522, 6118, 6984, 7402, 518, 1570, 2957, 3777, 4344, 6123, 6579, 7664, 518, 2067, 3097, 4083, 5165, 5844, 7120, 7811, 518, 2111, 3040, 4166, 4687, 5574, 6889, 7473, 240, 1756, 2316, 3550, 4859, 5210, 6291, 7723, 543, 1851, 2860, 3896, 4859, 6135, 7152, 7716, 915, 2078, 2669, 3407, 4344, 5534, 7152, 7865, 818, 1622, 2554, 3595, 4704, 5296, 6579, 8147, 818, 1756, 3117, 3914, 4555, 5223, 6794, 8237, 915, 1528, 3065, 3893, 4798, 5241, 6604, 7806, 195, 1529, 3074, 4026, 4691, 5472, 7160, 7831, 874, 1468, 3018, 3931, 5075, 5386, 6963, 7673, 757, 1510, 2718, 3277, 4423, 5658, 7157, 7838, 752, 1459, 2396, 3909, 5088, 6221, 7220, 7776, 1029, 1773, 2436, 3679, 5128, 5973, 6530, 7649, 104, 1146, 2440, 3787, 4212, 5359, 6833, 7271, 610, 1512, 2137, 3457, 4441, 6044, 6697, 7978, 684, 1897, 2360, 4135, 4987, 5534, 6998, 7992, 1097, 2046, 3043, 3886, 5165, 6051, 7058, 8209, 956, 1218, 3095, 3990, 4287, 5241, 7201, 7949, 450, 1825, 2730, 4174, 5104, 5687, 6693, 7723, 100, 1779, 2448, 3847, 4327, 6220, 6627, 7926, 450, 2052, 2803, 4145, 4327, 5630, 6891, 7886, 804, 1675, 2880, 3226, 5038, 5612, 6891, 7768, 750, 1860, 2352, 4115, 4239, 6040, 6776, 7908, 980, 1175, 3108, 3516, 4554, 5568, 7168, 7782, 678, 2048, 2356, 4085, 5143, 5437, 6442, 7476, 1067, 1900, 2407, 3184, 4420, 5869, 6547, 7491, 371, 1205, 2945, 3639, 4205, 6111, 6981, 8161, 614, 1325, 2232, 3394, 4545, 5231, 6525, 7466, 1025, 1940, 3003, 3187, 5151, 6219, 6671, 8083, 1029, 1503, 2956, 3323, 4760, 5508, 6267, 7802, 840, 1199, 3078, 3408, 4707, 5322, 6908, 7397, 643, 1812, 2892, 3422, 5027, 5776, 6999, 7602, 970, 1234, 2710, 4081, 4442, 5477, 6818, 7754, 304, 1932, 2989, 4005, 4954, 5548, 6720, 8093, 335, 1755, 3064, 3440, 4890, 5241, 6750, 7918, 663, 1755, 2895, 4114, 5183, 5978, 6980, 7764, 571, 1446, 3006, 4068, 4980, 6129, 7217, 8260, 571, 1711, 2980, 3982, 5165, 5241, 6589, 7658, 571, 2046, 3006, 3918, 5061, 5705, 6630, 7723, 304, 2046, 2520, 4018, 4551, 6195, 6467, 7806, 779, 1508, 3064, 3367, 4287, 6129, 7226, 8237, 512, 1705, 3064, 3226, 4551, 6081, 6996, 7723, 818, 1705, 3065, 3990, 4912, 5241, 6996, 8147, 488, 1705, 2960, 3825, 4888, 6139, 6752, 7949, 488, 1528, 2960, 3893, 4888, 5832, 7239, 8196, 488, 1508, 3065, 3825, 4704, 6211, 6972, 7766, 488, 1528, 2164, 3226, 4624, 5635, 7124, 8223, 488, 1528, 2957, 3893, 4980, 5635, 7124, 7949, 488, 1622, 3065, 3825, 5038, 5241, 6979, 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, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 3065, 3825, 4798, 6186, 6794, 8196, 475, 2111, 3065, 3827, 4555, 5534, 7084, 7485, 767, 1700, 2709, 3298, 4782, 5840, 6830, 8061, 402, 2095, 2692, 3742, 5161, 5926, 6542, 8058, 547, 1807, 2239, 3510, 4589, 5594, 7188, 7741, 692, 1496, 3060, 3483, 4281, 5221, 6822, 8061, 938, 1331, 2636, 3180, 5124, 5249, 7043, 8181, 767, 1907, 2959, 3254, 4181, 5438, 6701, 7290, 304, 1812, 2959, 4151, 4389, 5981, 6701, 7570, 767, 1562, 2990, 3487, 4609, 5702, 6830, 8164, 304, 1356, 2960, 4018, 4912, 5834, 7198, 7843, 767, 1755, 3007, 3680, 4888, 6085, 6382, 7786, 779, 1847, 2783, 3909, 4589, 6120, 6809, 7957, 304, 1707, 3095, 4166, 4630, 5677, 6668, 7876, 228, 2114, 2554, 4166, 4298, 6051, 7010, 8236, 654, 2127, 2880, 3555, 4776, 5548, 7203, 7707, 228, 1851, 3028, 3376, 5031, 5677, 7041, 7641, 228, 1525, 2992, 3838, 4344, 5550, 7160, 7303, 225, 2088, 2560, 3891, 4890, 5901, 6909, 8261, 183, 1426, 2659, 3754, 4622, 5296, 7152, 8209, 617, 1496, 2250, 3745, 5143, 5378, 6677, 8126, 171, 1490, 2905, 3376, 4215, 5609, 6430, 8066, 337, 1833, 2858, 3932, 5157, 6137, 6668, 8126, 956, 1705, 3135, 4171, 5166, 5832, 6972, 7290, 767, 1668, 2860, 3931, 4888, 6175, 6972, 7720, 223, 1598, 2796, 3383, 4388, 6025, 6979, 7706, 262, 1179, 2937, 3917, 5123, 5781, 6770, 7706, 494, 1522, 2133, 3685, 4757, 5460, 6622, 7983, 449, 1251, 2827, 3544, 5032, 5634, 6560, 8189, 467, 1318, 2407, 3953, 4495, 5634, 6511, 7529, 1024, 1861, 2423, 4136, 4495, 5468, 7007, 7957, 1067, 1861, 2383, 3418, 4987, 5835, 7126, 8100, 1024, 1619, 2785, 3152, 4552, 5391, 6612, 7515, 1024, 1318, 2888, 3868, 4217, 5819, 6583, 7757, 386, 1156, 2972, 3556, 4215, 5471, 7202, 7901, 643, 1278, 2493, 3979, 4518, 5690, 7044, 7547, 1081, 1363, 3149, 3856, 4458, 5536, 7207, 7607, 643, 1717, 2492, 3796, 4653, 5500, 7173, 8066, 211, 1280, 2661, 3929, 4872, 6156, 6584, 7881, 1062, 1562, 3092, 3756, 4918, 5386, 6887, 8226, 150, 1227, 2313, 4152, 5088, 5890, 7114, 8016, 1057, 1499, 3092, 3771, 4195, 6084, 7144, 7821, 778, 1333, 2891, 3787, 4873, 5940, 7158, 7960, 778, 1141, 2389, 3776, 4354, 5481, 7067, 8201, 887, 1239, 2737, 3522, 4651, 5315, 7241, 7941, 887, 1141, 2400, 3540, 5125, 5584, 6771, 7800, 887, 1918, 2440, 4150, 4421, 5965, 6860, 7706, 308, 1218, 3021, 3891, 4681, 5963, 6972, 8188, 1056, 1467, 2348, 3873, 4870, 6195, 6614, 8267, 103, 2063, 2381, 3671, 4598, 5543, 6515, 7706, 103, 1918, 2990, 3900, 4870, 5788, 6840, 8210, 938, 1397, 2941, 4166, 5083, 5671, 6793, 7435, 620, 1164, 2196, 3563, 4985, 5639, 6348, 7883, 103, 1178, 2196, 3909, 4757, 5474, 6584, 8107, 397, 1732, 2860, 3485, 4923, 5780, 6828, 7711, 678, 1706, 2656, 3723, 4743, 5341, 6892, 8211, 103, 1562, 2355, 3913, 5142, 5228, 6584, 7539, 288, 1747, 2941, 4145, 4737, 5413, 6899, 7547, 552, 2068, 2794, 3761, 5115, 5296, 6776, 8108, 488, 2041, 2970, 3226, 4918, 5811, 6589, 7876, 915, 1622, 3110, 4071, 4630, 5661, 7077, 8076, 105, 1684, 2880, 4145, 4555, 5436, 6338, 7677, 552, 1286, 2469, 4068, 4985, 5534, 7120, 7641, 488, 1622, 3117, 4145, 4890, 6129, 6515, 7723, 860, 1528, 2806, 3803, 4583, 6139, 7226, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 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, 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, 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, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 41, 20, 63, 5, 31, 16, 5, 30, 11, 51, 66, 35, 5, 41, 23, 54, 30, 5, 45, 66, 5, 44, 53, 62, 11, 64, 16, 28, 16, 52, 5, 66, 73, 5, 51, 76, 26, 16, 66, 5, 43, 45, 53, 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, 935, 2068, 2991, 3866, 5038, 5893, 6988, 8080, 935, 1791, 2803, 3909, 4980, 5832, 7201, 7876, 256, 1750, 2473, 4166, 4859, 5694, 6677, 7660, 500, 1525, 2880, 4096, 5125, 5923, 7114, 7371, 579, 2073, 2915, 3316, 4304, 6110, 6436, 8078, 401, 1199, 2381, 3512, 4870, 6171, 6979, 7716, 271, 1469, 2279, 3224, 4327, 5362, 7156, 7783, 736, 2033, 2748, 3794, 4706, 5578, 6448, 7851, 876, 2050, 2877, 3794, 4539, 5571, 6974, 7911, 807, 1912, 2146, 3202, 4636, 5387, 7081, 7725, 271, 1469, 2835, 3581, 4621, 5466, 6799, 8153, 936, 2009, 2485, 3567, 4571, 6015, 6378, 8023, 715, 1150, 2137, 4015, 5029, 5245, 6887, 8128, 1056, 2060, 3092, 3776, 5101, 5883, 6607, 7764, 878, 2030, 3061, 3840, 4664, 5366, 6413, 7421, 518, 1660, 3149, 3403, 4179, 5803, 6584, 7253, 459, 1299, 2369, 3562, 5079, 5248, 6605, 7559, 492, 1828, 2846, 4067, 4292, 5512, 7229, 7991, 492, 1129, 2486, 4072, 4330, 5286, 7102, 7973, 487, 1682, 2986, 3773, 4604, 5220, 6730, 7660, 684, 1682, 2675, 4097, 5135, 6085, 7000, 8041, 390, 2063, 2947, 4168, 4890, 5515, 6668, 8126, 1056, 2125, 3098, 3914, 5125, 6103, 6786, 7876, 980, 2063, 2970, 3842, 5166, 5705, 6979, 7806, 684, 2046, 2947, 4068, 4276, 5378, 7201, 7876, 804, 1791, 2989, 4071, 4912, 5883, 7218, 8083, 1042, 1938, 2200, 3208, 4426, 5538, 7197, 7881, 786, 1726, 2871, 4128, 4526, 5454, 6409, 7590, 302, 1346, 3034, 3448, 4925, 5870, 6986, 8249, 681, 1596, 2470, 3162, 4604, 5889, 7174, 7827, 508, 1324, 3138, 3548, 4273, 6012, 7174, 7503, 373, 1183, 2355, 3699, 4884, 5574, 6700, 8256, 833, 1468, 2975, 3639, 4205, 5951, 6814, 8206, 288, 1933, 2573, 4164, 4828, 6034, 6910, 8030, 984, 1467, 2340, 3175, 4861, 5515, 6548, 7846, 132, 2073, 2886, 3803, 4859, 5436, 7023, 8245, 186, 2017, 2781, 3803, 5104, 6182, 6750, 8260, 935, 1528, 2834, 3188, 4782, 5514, 6589, 7949, 186, 1528, 2746, 3893, 4888, 5219, 6996, 8237, 935, 1528, 3109, 4171, 5104, 6103, 7077, 8252, 186, 1528, 2781, 3825, 4867, 6131, 7077, 8237, 967, 1684, 2709, 3803, 5058, 5630, 7201, 7591, 757, 1286, 3133, 4103, 4337, 6137, 6604, 7707, 613, 1971, 2957, 3692, 4470, 5840, 6704, 7753, 160, 1794, 2629, 3873, 4670, 5968, 6614, 7957, 150, 1403, 3026, 3424, 4683, 5459, 6319, 7318, 535, 1758, 2357, 3771, 5052, 5878, 7002, 7910, 993, 1758, 3145, 3611, 5091, 6020, 6464, 7250, 1029, 1735, 3066, 3711, 4426, 5223, 6751, 8092, 1005, 2059, 2553, 4126, 4881, 5614, 6618, 7975, 211, 1477, 2741, 3516, 4350, 5761, 6850, 8195, 256, 1540, 2944, 4085, 4536, 5276, 6334, 8236, 789, 1525, 2803, 3516, 4954, 5610, 7129, 7918, 256, 2030, 2803, 4068, 5127, 6195, 6241, 7706, 105, 1851, 2996, 3827, 5104, 5413, 7218, 7865, 256, 2097, 2991, 4113, 4387, 5360, 6671, 8086, 789, 1525, 2729, 3470, 5061, 5413, 7160, 8185, 789, 1452, 2803, 4006, 4240, 5730, 7058, 8209, 256, 2030, 3135, 3470, 5129, 5296, 6604, 7876, 489, 1332, 3006, 3994, 4536, 5705, 7069, 7563, 211, 2097, 2960, 3932, 5020, 5677, 6716, 8118, 249, 1786, 2137, 3524, 4401, 5929, 6370, 7898, 313, 1609, 2495, 3622, 5092, 6043, 6925, 7913, 810, 2107, 3040, 3841, 4520, 5815, 6973, 7839, 306, 2003, 3040, 3712, 4321, 5568, 6711, 7545, 492, 1944, 2860, 4024, 4678, 5264, 6419, 7878, 1066, 1972, 2373, 4036, 4661, 5775, 6552, 7986, 895, 1770, 2506, 3851, 4755, 5810, 7080, 7457, 1067, 1350, 2506, 3203, 4417, 5989, 6962, 7843, 778, 2097, 2974, 3482, 4321, 6071, 6936, 7774, 104, 1275, 2863, 3904, 4467, 6158, 6935, 8242, 1025, 1399, 2716, 3183, 4841, 5474, 6225, 8169, 831, 1244, 2214, 3456, 4661, 6000, 6444, 7690, 1025, 1350, 3053, 4154, 4665, 5716, 6512, 8095, 424, 1931, 3101, 3581, 4743, 5534, 6311, 7631, 1090, 1146, 3075, 3188, 5166, 5901, 6507, 7664, 1056, 2046, 2924, 3866, 4359, 6085, 7090, 7421, 804, 1175, 3008, 3430, 4287, 6051, 6810, 7720, 308, 1750, 2925, 3226, 4782, 5883, 7201, 8076, 326, 1504, 2625, 3445, 4305, 5838, 6414, 8047, 465, 1397, 2990, 3623, 4825, 5382, 6984, 8035, 807, 1832, 2797, 3623, 4701, 5810, 6354, 8140, 545, 1494, 2587, 3623, 4539, 5903, 7157, 7254, 582, 1541, 2144, 3623, 4540, 5325, 6468, 8178, 1084, 1118, 2751, 3697, 5124, 5954, 7040, 7539, 779, 1886, 3003, 3239, 5165, 5407, 6467, 7476, 684, 1620, 2360, 3811, 4617, 6146, 7120, 8185, 715, 1553, 2332, 3971, 5042, 6114, 6579, 8199, 986, 1932, 2608, 4007, 4308, 5366, 6612, 7905, 536, 1808, 2261, 4007, 4701, 5223, 6870, 7773, 936, 1808, 2366, 4007, 4400, 5344, 6382, 7737, 936, 1808, 2656, 4007, 5115, 5801, 6422, 8058, 536, 1942, 2956, 3761, 4337, 6142, 6848, 7934, 104, 1173, 2675, 3662, 4429, 5614, 7048, 7883, 401, 1721, 2803, 3873, 4993, 5573, 7047, 7256, 401, 2053, 2167, 3838, 5160, 5921, 6566, 7260, 887, 1499, 2401, 3307, 4287, 5761, 6677, 7678, 887, 1227, 2340, 3929, 4215, 6146, 7218, 8209, 1056, 1850, 3064, 3885, 4861, 6182, 6752, 7720, 308, 1881, 2947, 4018, 4551, 5968, 6589, 7641, 818, 1998, 3135, 4018, 5058, 6051, 7226, 7570, 1099, 1700, 3144, 4018, 4630, 5210, 6972, 8076, 818, 1705, 3110, 4114, 4630, 5883, 6972, 8147, 508, 2086, 3149, 3581, 4801, 5650, 6265, 8252, 967, 2073, 2965, 3770, 5085, 5883, 7002, 8034, 776, 1880, 2383, 3918, 4327, 5962, 6719, 7290, 1066, 2035, 2374, 3323, 4764, 5772, 6272, 7881, 803, 1955, 3066, 3462, 4970, 5952, 6360, 7648, 492, 1753, 2698, 3806, 4404, 5670, 6811, 7483, 113, 1788, 3061, 3839, 4963, 6058, 6857, 7699, 1057, 1878, 3112, 3925, 4467, 6118, 6287, 8192, 1005, 2107, 2740, 3352, 4687, 5810, 6843, 7386, 970, 1436, 3150, 3438, 4730, 6002, 6524, 7984, 1081, 1407, 2258, 4112, 4998, 5678, 6583, 7516, 256, 1485, 2313, 3746, 5129, 5493, 6749, 7810, 654, 1308, 2554, 3550, 5138, 6070, 6231, 7906, 654, 1468, 2971, 3394, 5168, 5705, 7024, 7855, 518, 1550, 2529, 3648, 5127, 6175, 6270, 8102, 518, 1826, 2875, 3374, 4240, 5802, 6859, 7660, 518, 1623, 2497, 3528, 4240, 5689, 7162, 7773, 857, 1655, 3026, 3578, 5083, 5678, 6612, 8117, 650, 1630, 2258, 4103, 4949, 5889, 6314, 8158, 802, 1444, 2440, 4102, 4952, 5236, 6335, 7869, 547, 2107, 2595, 4022, 4529, 6142, 6944, 8105, 569, 1459, 2515, 3551, 4949, 6142, 6740, 7375, 776, 1873, 2515, 3916, 5053, 5569, 6904, 7996, 804, 2021, 2975, 3710, 4942, 6163, 7165, 8188, 308, 1747, 3008, 3866, 4366, 5534, 6988, 7806, 779, 1963, 2947, 4097, 4782, 6123, 7218, 8185, 827, 1931, 3124, 3994, 5066, 6087, 6494, 8164, 504, 2035, 2444, 4140, 5124, 5804, 7010, 7892, 547, 1469, 2515, 3205, 4917, 5629, 7172, 7536, 938, 1912, 2423, 3538, 4649, 6002, 6378, 8046, 864, 1919, 2720, 3808, 5152, 5249, 6829, 7488, 864, 1699, 2536, 3810, 4364, 5264, 6866, 7408, 569, 1669, 2894, 4032, 4995, 6192, 6267, 7812, 386, 1919, 2173, 3820, 4305, 5720, 6762, 7813, 1024, 2050, 2245, 3936, 5108, 5438, 6856, 7266, 547, 1928, 2793, 3485, 4215, 5592, 6886, 7559, 970, 1591, 2536, 4007, 4685, 5469, 6608, 7451, 663, 1867, 2254, 3872, 5153, 6118, 7023, 7717, 804, 1913, 2340, 3987, 4447, 6063, 7129, 7394, 1099, 1175, 3006, 4171, 5139, 5705, 6852, 7421, 935, 2068, 3064, 3982, 5165, 5883, 7239, 7949, 488, 1992, 2803, 3226, 5058, 6129, 7201, 7949, 488, 1992, 2914, 3866, 4704, 5661, 7239, 7766, 935, 1847, 3143, 3982, 4912, 6182, 7084, 7641, 555, 1847, 3135, 3866, 4512, 6081, 7006, 8260, 555, 1304, 2806, 3891, 5106, 6129, 6752, 7641, 105, 2106, 3064, 3866, 4630, 5385, 7084, 8260, 105, 2106, 2164, 4125, 4549, 5385, 7218, 7485, 859, 1490, 2562, 4018, 4681, 5385, 6786, 7715, 859, 2065, 3143, 3550, 4512, 5241, 6752, 7715, 859, 2002, 2880, 4171, 4624, 5901, 6772, 7563, 552, 2127, 2858, 3914, 4583, 6149, 6988, 7838, 859, 1490, 2833, 3550, 4859, 5385, 7006, 7485, 859, 2111, 2880, 4068, 4512, 5981, 6996, 7563, 859, 2127, 2554, 3374, 5088, 5963, 6996, 8164, 555, 1648, 2833, 4068, 4512, 6149, 6515, 7723, 555, 2111, 2858, 4068, 4624, 5241, 6810, 7715, 555, 1648, 3021, 4068, 4512, 5767, 6584, 8126, 488, 1622, 2914, 3893, 4398, 5901, 6794, 8223, 860, 2017, 2806, 3825, 4704, 5892, 6794, 8147, 142, 1622, 2806, 3825, 4704, 6186, 7124, 7766, 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, 7226, 8196, 143, 1706, 3147, 3645, 5153, 6110, 6671, 7476, 276, 1695, 2941, 3452, 4320, 5934, 6606, 7954, 757, 1684, 2725, 3751, 4918, 5324, 7120, 7498, 1033, 1796, 2629, 3405, 5115, 5844, 6911, 8082, 858, 1758, 2870, 3756, 4666, 6221, 6224, 7968, 993, 1682, 2440, 3979, 4654, 5828, 6595, 7945, 1025, 1986, 3092, 3427, 4609, 5962, 7044, 8250, 804, 1499, 3060, 3649, 4282, 5968, 7047, 7764, 1097, 1218, 3064, 3516, 4822, 5883, 6996, 7806, 488, 2000, 2949, 3945, 4704, 6051, 6752, 7723, 1099, 2000, 2957, 3893, 5061, 5883, 7084, 8260, 956, 2068, 2838, 4174, 4630, 6085, 6794, 8147, 512, 1700, 3128, 4018, 5104, 6103, 6515, 8260, 110, 2051, 2659, 4115, 4651, 5868, 6588, 8245, 1063, 1217, 2321, 3407, 4760, 6131, 6750, 8253, 1094, 2098, 2993, 3922, 4349, 5803, 7159, 7253, 1015, 2065, 2886, 3685, 4856, 5641, 6604, 7965, 967, 2111, 3133, 3975, 4558, 5832, 6609, 7933, 955, 2045, 3117, 3175, 4872, 5811, 6988, 7948, 650, 1867, 2866, 4093, 4589, 5220, 7084, 7594, 277, 1581, 2569, 3563, 4206, 5729, 6983, 7886, 672, 1955, 2997, 3875, 4468, 5387, 7140, 7978, 1040, 1800, 2198, 3408, 4506, 6002, 6674, 7610, 493, 1409, 2520, 3986, 4631, 5512, 7214, 8128, 930, 1704, 2790, 3338, 5011, 5313, 6866, 7990, 212, 1397, 2521, 3244, 4506, 5365, 6308, 7911, 930, 1119, 3030, 3749, 4508, 5884, 6870, 8226, 1003, 1826, 2580, 3687, 4339, 5538, 7083, 7578, 265, 1397, 2156, 4037, 4279, 6136, 6552, 7578, 103, 2003, 2346, 3824, 4218, 5803, 6648, 7673, 952, 1422, 2615, 3396, 5151, 5761, 6970, 7259, 820, 1842, 3007, 3591, 4626, 5918, 6494, 8246, 913, 1653, 2688, 4045, 4451, 5629, 6965, 7579, 585, 1407, 2733, 3943, 5134, 5437, 6663, 7481, 693, 1570, 2470, 3723, 4667, 5884, 7247, 7545, 981, 1282, 2317, 4137, 4770, 5212, 7111, 8031, 981, 1518, 2238, 3989, 5138, 6119, 7246, 7365, 575, 1507, 2453, 3671, 4910, 5913, 6584, 7881, 211, 1623, 2366, 4003, 4476, 6163, 7019, 7965, 1097, 1945, 3135, 4145, 4980, 5963, 7119, 8209, 256, 1963, 3007, 3226, 5145, 5678, 6614, 8096, 568, 2032, 2487, 4092, 4573, 6103, 6519, 7538, 256, 1684, 2839, 3420, 5135, 5640, 6979, 7557, 356, 1844, 2947, 3827, 5138, 6025, 6749, 7732, 980, 1695, 2936, 3945, 5160, 5981, 6649, 8172, 650, 1700, 2803, 3751, 4869, 5474, 6547, 7815, 839, 1640, 2381, 3714, 5151, 5348, 6485, 7286, 1040, 1118, 2751, 3776, 5124, 5513, 7048, 7677, 880, 1942, 2506, 4151, 4604, 6116, 6240, 8149, 862, 1397, 2893, 3341, 4878, 5918, 7232, 7770, 862, 1108, 2606, 3341, 4306, 5631, 6409, 7468, 692, 1540, 2720, 3732, 4736, 5759, 6984, 8046, 150, 1796, 2269, 4103, 4554, 5771, 6286, 8201, 980, 1562, 3053, 3602, 4777, 6175, 6871, 8092, 504, 2079, 2555, 3472, 4622, 6181, 7157, 7568, 831, 1141, 2915, 3766, 4360, 6002, 6670, 7918, 216, 1566, 2661, 3513, 5159, 5978, 6613, 7480, 390, 1485, 2326, 4145, 4337, 5573, 7006, 7806, 684, 2046, 2803, 4068, 4792, 5534, 6979, 7631, 510, 2125, 3144, 3990, 4630, 5981, 6809, 8080, 1099, 2046, 2957, 4174, 5061, 5241, 7058, 7421, 818, 1705, 3043, 3982, 4822, 5883, 7239, 8147, 488, 1705, 2781, 3990, 4822, 6139, 6786, 8260, 488, 1622, 2806, 3982, 4624, 6139, 7201, 7949, 488, 1528, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 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, 8223, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 45, 66, 5, 76, 48, 51, 16, 54, 78, 5, 31, 16, 5, 66, 45, 64, 77, 74, 78, 5, 5, 5, 53, 39, 30, 5, 64, 66, 63, 20, 55, 5, 11, 54, 5, 31, 16, 5, 53, 11, 63, 29, 5, 16, 54, 30, 5, 44, 54, 5, 31, 16, 5, 41, 48, 52, 30, 78, 5, 5, 3, 945, 1528, 2806, 3825, 4704, 6139, 7077, 8147, 915, 1623, 2949, 4108, 4704, 6139, 7120, 8126, 104, 1707, 2775, 4085, 4762, 5413, 6615, 8061, 987, 1112, 2895, 4125, 4273, 5436, 6852, 7751, 660, 1112, 2481, 3425, 4459, 6086, 6244, 8007, 1004, 2008, 3029, 3850, 4665, 5361, 6295, 7369, 737, 1834, 3003, 3243, 4672, 5588, 6869, 7973, 103, 1797, 2636, 3329, 4180, 5538, 7131, 7810, 804, 1915, 2729, 3271, 4630, 5968, 6604, 7312, 804, 1797, 3008, 3771, 4782, 5797, 6776, 8185, 804, 1587, 3043, 4145, 4912, 5832, 6830, 8126, 512, 1847, 2880, 4108, 4556, 5883, 6584, 8070, 308, 1869, 3098, 3982, 5139, 5543, 6302, 7631, 955, 1777, 2991, 4145, 4589, 6146, 7120, 7723, 955, 1750, 3007, 3516, 4589, 5901, 6771, 7641, 1033, 2088, 2834, 3886, 5150, 5968, 6704, 7481, 401, 1672, 2960, 4097, 4828, 6131, 7217, 8195, 610, 1873, 2396, 3912, 4583, 5340, 6830, 8267, 304, 1849, 2803, 4093, 5139, 5678, 6448, 7638, 948, 1847, 2321, 3808, 4611, 5832, 6734, 7416, 149, 1545, 2137, 4005, 5096, 6064, 6579, 7571, 962, 1832, 2282, 3941, 5036, 5273, 6225, 8216, 402, 1550, 2544, 3475, 4381, 6130, 7057, 7831, 545, 1889, 2750, 3500, 5019, 5803, 6813, 7680, 545, 1236, 2156, 3752, 4846, 5470, 6670, 8169, 856, 1633, 2506, 4015, 4428, 5586, 6876, 8126, 1059, 1633, 3043, 3253, 4983, 5257, 6500, 8069, 571, 1281, 2970, 4114, 4555, 6085, 6338, 7485, 510, 1851, 2536, 3982, 4918, 5485, 7127, 8061, 510, 2046, 2944, 3914, 5058, 6051, 6668, 7806, 1099, 2046, 2970, 4145, 5058, 6103, 7084, 8237, 914, 1508, 2946, 3893, 5159, 6182, 6752, 7717, 221, 1601, 2137, 3843, 5138, 5929, 6486, 7831, 489, 1721, 2975, 3896, 4469, 6086, 6740, 7341, 103, 1797, 2771, 3536, 4374, 5594, 6688, 7664, 716, 1265, 2709, 4087, 5193, 5624, 6829, 8214, 1101, 1356, 2190, 3329, 4834, 6222, 7229, 7867, 761, 1284, 3097, 3231, 4736, 5745, 6419, 7700, 386, 1388, 2506, 3845, 4329, 5840, 6412, 7682, 335, 1812, 2741, 3918, 4777, 5506, 6980, 7786, 504, 1400, 2564, 3892, 4426, 5221, 6932, 8232, 1033, 1543, 2429, 3276, 5101, 6204, 6678, 7349, 271, 1717, 2564, 3909, 4273, 6096, 6400, 8058, 216, 1543, 3104, 3478, 4586, 5228, 7148, 8212, 1014, 1930, 2920, 3728, 4541, 5360, 7044, 8164, 195, 1171, 2370, 4066, 4307, 6048, 7162, 8202, 225, 2111, 2627, 3838, 4877, 5536, 6296, 7732, 518, 1421, 2356, 4168, 4423, 5315, 6746, 7804, 518, 2111, 2783, 3564, 5183, 5608, 6671, 7664, 240, 2065, 2924, 3204, 4449, 5863, 7010, 7303, 789, 1945, 2783, 3470, 4412, 5515, 6820, 7816, 427, 1945, 2803, 3680, 4215, 6195, 7232, 8085, 1015, 1869, 2659, 3680, 5183, 5706, 6430, 7865, 613, 1499, 2293, 3394, 4918, 5924, 6960, 7631, 611, 1826, 2519, 3313, 5152, 5973, 6614, 8266, 862, 1482, 3040, 4043, 4545, 5965, 7097, 7911, 234, 1820, 3040, 4058, 4205, 5202, 6426, 7529, 249, 1695, 3040, 3261, 4911, 6192, 6582, 8084, 857, 1938, 2553, 3575, 4902, 5200, 6306, 7402, 860, 1794, 2754, 4115, 4852, 6215, 6752, 7677, 1099, 1847, 3128, 4115, 4630, 6195, 7168, 7557, 818, 2017, 2391, 3710, 4912, 5687, 7090, 8066, 935, 2000, 2834, 4166, 5166, 5612, 6774, 8223, 186, 2017, 3109, 3645, 4782, 6129, 6786, 7887, 510, 1280, 2781, 4071, 5080, 5241, 7239, 8076, 195, 2034, 2426, 4089, 4974, 5386, 6651, 7777, 699, 2060, 2181, 4132, 4887, 5372, 6443, 7673, 225, 1345, 2659, 3827, 5167, 6119, 6752, 7831, 757, 1974, 2941, 3873, 4859, 5590, 6850, 7477, 424, 1827, 2740, 3436, 4772, 5550, 6715, 7838, 138, 1884, 2795, 3183, 4495, 5845, 6729, 7841, 722, 1753, 2929, 4103, 5145, 5795, 7043, 7882, 582, 2084, 2309, 3576, 4872, 5944, 7063, 8118, 582, 1333, 2346, 3256, 5193, 5770, 6830, 7688, 722, 1550, 2675, 3259, 5127, 5795, 6334, 7348, 568, 1797, 2554, 3819, 4828, 5515, 6486, 7687, 334, 1974, 2709, 4125, 4210, 5823, 6898, 8179, 334, 1331, 2242, 4128, 5150, 5296, 7229, 7967, 334, 1865, 2595, 3550, 4829, 5429, 6909, 7918, 118, 1112, 2744, 3547, 5164, 5846, 7232, 8126, 568, 1958, 2395, 3180, 4993, 5766, 6519, 7919, 541, 1979, 2775, 3391, 4737, 5257, 6369, 8061, 757, 1510, 2287, 3352, 5151, 5761, 6291, 8140, 859, 2046, 3026, 3470, 5168, 5216, 6627, 8267, 308, 1753, 3135, 3827, 5135, 6063, 7220, 8164, 1033, 1808, 2792, 3807, 4743, 5892, 7120, 8066, 536, 1227, 2660, 3955, 4622, 5512, 7086, 7490, 104, 1918, 2660, 3201, 4259, 5824, 6813, 7848, 113, 1472, 2345, 3276, 4791, 5639, 6965, 7722, 864, 1758, 2348, 3832, 4274, 5923, 6614, 8012, 665, 1299, 2728, 3541, 5005, 5823, 6938, 7939, 424, 1545, 2564, 3430, 4541, 5923, 6605, 7636, 1090, 1146, 2250, 3446, 4831, 5308, 6677, 8213, 424, 1939, 2660, 3695, 5026, 5684, 6579, 7367, 641, 2095, 3092, 3873, 4589, 6096, 6746, 8006, 1024, 1512, 2291, 3967, 4483, 5548, 7160, 8229, 678, 1876, 2470, 3967, 4670, 6149, 6646, 8257, 678, 1370, 2440, 3550, 5145, 6130, 6677, 8117, 981, 1182, 2440, 4079, 4274, 5757, 7142, 7260, 981, 1455, 2564, 4073, 4282, 5587, 6614, 7426, 160, 1283, 3073, 4073, 4609, 5466, 7119, 7492, 913, 2053, 2156, 3383, 5084, 5466, 6526, 7962, 1020, 1255, 2474, 3986, 4777, 6141, 6764, 7574, 317, 2107, 2346, 3459, 4836, 5788, 6614, 7481, 225, 1524, 2151, 3669, 5135, 5481, 6486, 7602, 225, 1801, 2718, 3941, 5051, 5581, 7006, 7383, 225, 2111, 2542, 4092, 4844, 5844, 6613, 7586, 225, 2111, 2359, 3900, 5098, 5865, 6734, 7878, 513, 1597, 2803, 3955, 5103, 5276, 6840, 7291, 555, 2061, 2833, 3337, 4387, 5385, 6840, 7477, 488, 2046, 2957, 3838, 4870, 5493, 6671, 8147, 915, 2017, 2914, 3595, 4624, 6081, 7077, 8196, 915, 1528, 2914, 4174, 4798, 5493, 7124, 8223, 859, 2111, 2970, 4166, 4681, 5515, 6515, 7723, 617, 1289, 2833, 4153, 5083, 5436, 6996, 8083, 617, 1345, 2548, 3770, 4727, 5549, 7091, 7976, 617, 2127, 2839, 4068, 4800, 5219, 6607, 7643, 617, 2002, 2941, 3552, 4214, 5660, 7103, 8236, 617, 1468, 2880, 3680, 4555, 6101, 6338, 7485, 617, 1974, 3021, 4092, 4384, 5223, 6809, 7723, 105, 1586, 3143, 3681, 4399, 6163, 6601, 7473, 105, 1684, 2609, 3873, 4512, 5513, 7201, 7303, 552, 2127, 3021, 4092, 4624, 5385, 6740, 8262, 186, 2111, 2970, 3825, 4870, 5241, 7152, 8164, 488, 2111, 3117, 4071, 4387, 5635, 7006, 8237, 860, 1528, 2806, 3803, 5038, 6139, 7124, 8237, 488, 2041, 2949, 4071, 4822, 5883, 7077, 7485, 818, 1869, 3065, 4108, 4366, 6205, 6709, 8267, 308, 1981, 3098, 3516, 4366, 5635, 7201, 8260, 204, 1755, 2429, 3188, 4780, 6007, 6694, 7920, 650, 1393, 2661, 4096, 4494, 5565, 6719, 8245, 826, 1255, 2436, 3937, 4337, 5264, 6590, 7991, 826, 1141, 2436, 3842, 4930, 5532, 6732, 7547, 993, 1773, 2311, 4096, 4436, 5620, 7114, 8188, 737, 1402, 2751, 3973, 4362, 5825, 7229, 7438, 462, 1550, 2448, 4076, 4421, 5512, 7032, 7605, 896, 1550, 2830, 3385, 4321, 5300, 6315, 7312, 487, 2055, 2137, 3560, 4321, 6130, 7118, 7438, 608, 1550, 2491, 3329, 5022, 5431, 6357, 8025, 807, 1914, 2346, 3329, 4691, 5697, 6528, 7815, 807, 1721, 3116, 3986, 5138, 5706, 7222, 7480, 807, 2033, 2951, 3182, 4539, 5643, 6781, 7966, 807, 1782, 2455, 3669, 5151, 5665, 6592, 7628, 103, 1721, 2455, 3537, 4586, 5923, 6612, 7908, 405, 1112, 3032, 3440, 5120, 5899, 7023, 7929, 1056, 1906, 2556, 3771, 4870, 5558, 6752, 7563, 518, 1773, 2990, 4092, 5011, 6149, 6465, 8080, 228, 1998, 2181, 3671, 4521, 6160, 6979, 8213, 518, 1524, 3021, 3798, 4387, 6062, 6349, 7887, 654, 1791, 2595, 3413, 4870, 5694, 6584, 7303, 225, 1851, 2991, 3827, 4764, 5988, 6677, 7677, 225, 1851, 2359, 4026, 4736, 6086, 7019, 8066, 518, 1468, 2839, 3227, 4743, 5892, 6723, 8102, 518, 2078, 2489, 3277, 4387, 5587, 6671, 7260, 228, 1108, 2554, 4113, 4877, 5241, 6604, 7907, 518, 2002, 3064, 3900, 4512, 5205, 6840, 8132, 228, 1706, 3000, 3891, 5179, 5942, 6889, 8076, 518, 1468, 2942, 4166, 4923, 6034, 6677, 7728, 789, 1345, 2941, 3374, 4870, 5678, 7090, 7806, 789, 1623, 2718, 3420, 5160, 5515, 7132, 7537, 878, 1461, 2839, 3933, 4529, 5333, 6612, 7563, 165, 2127, 2729, 3586, 4512, 5739, 6335, 7411, 757, 1300, 2669, 3687, 4273, 5296, 7207, 7660, 335, 2073, 2397, 4006, 5120, 5799, 6414, 7575, 498, 1736, 2384, 4073, 4900, 6151, 6599, 7298, 1009, 1145, 2891, 3517, 4791, 5709, 6283, 7772, 556, 1757, 2402, 3902, 5109, 5500, 6659, 7751, 494, 1669, 2661, 3376, 5105, 6033, 6853, 7423, 368, 2102, 2698, 3427, 5152, 5585, 7232, 7850, 339, 2050, 2710, 3878, 4656, 5807, 6908, 7333, 1067, 1279, 2137, 3880, 4356, 5986, 6664, 7527, 192, 1167, 2173, 4098, 4468, 5387, 6603, 7927, 150, 1609, 2142, 3325, 4585, 5564, 6681, 7628, 1066, 1166, 2698, 3456, 4604, 5729, 6969, 7271, 1030, 1393, 2280, 3869, 4364, 5735, 6384, 7623, 150, 1226, 2173, 3936, 5108, 5421, 7044, 7859, 895, 1325, 2383, 4073, 4511, 5426, 6639, 7490, 271, 1757, 2307, 3457, 4609, 5810, 7163, 7807, 641, 2009, 3020, 4057, 4573, 5311, 6944, 7329, 778, 2053, 2975, 4073, 4903, 6002, 6229, 8246, 104, 1669, 2436, 3632, 4881, 5209, 6944, 8039, 610, 1685, 2924, 3991, 4792, 5573, 7164, 7442, 887, 1120, 2794, 4145, 5084, 5464, 6301, 8083, 641, 1463, 2610, 3410, 4289, 5641, 6579, 7954, 408, 1509, 2655, 4091, 4308, 5616, 6669, 8260, 850, 1704, 2163, 3563, 4858, 6135, 6382, 7608, 810, 1609, 2282, 3451, 4200, 5447, 7083, 7539, 810, 1990, 2815, 3356, 4999, 5810, 7140, 7267, 966, 1499, 2173, 3428, 4321, 5518, 7039, 7454, 310, 1630, 2173, 3741, 4657, 6145, 6608, 7991, 459, 1589, 2536, 3389, 4557, 5585, 6846, 8061, 104, 1325, 2545, 3759, 4448, 5208, 6740, 8210, 610, 1771, 2924, 3517, 4204, 5361, 6883, 7667, 887, 1978, 2693, 3192, 4514, 5438, 6918, 7852, 104, 1717, 2349, 3258, 5153, 5344, 6614, 7852, 271, 1682, 2349, 3901, 4665, 5344, 6262, 8070, 1025, 1660, 2142, 3341, 4335, 6004, 7108, 8188, 610, 2053, 2659, 3964, 5022, 5953, 7086, 7941, 1004, 1183, 2460, 3833, 4983, 5954, 6348, 7800, 535, 1183, 2581, 3741, 5152, 5384, 6555, 8239, 778, 1345, 3108, 3688, 4678, 5421, 6474, 8134, 1033, 1777, 2254, 4166, 4622, 5843, 6615, 8203, 1033, 2079, 2554, 3975, 5153, 5573, 6847, 7954, 1025, 1850, 2923, 3901, 5183, 5610, 6455, 7810, 1029, 1773, 2554, 3679, 4469, 5907, 6809, 7917, 1025, 1850, 2554, 3975, 4272, 5917, 6275, 8054, 1025, 1146, 2250, 3743, 4946, 5295, 6953, 7725, 752, 1117, 2207, 3842, 4448, 6170, 6775, 8113, 752, 1924, 3061, 4090, 5114, 5532, 6857, 7776, 752, 1924, 3008, 3420, 4385, 5816, 6732, 7863, 752, 2001, 2894, 3175, 4402, 5686, 6732, 8259, 1033, 1296, 2819, 3513, 4350, 5777, 7157, 7905, 1033, 1167, 3052, 3175, 5040, 5672, 6846, 7962, 1036, 1720, 2756, 3742, 4949, 5431, 6762, 8239, 517, 2009, 3011, 4118, 4612, 5741, 6694, 8023, 271, 1772, 2224, 4014, 4759, 5405, 6691, 7933, 271, 1894, 2275, 3775, 4621, 5950, 6896, 7527, 1067, 1916, 2892, 3835, 4427, 5888, 7140, 7842, 881, 1193, 2137, 3692, 4322, 5585, 6564, 8156, 763, 1489, 2751, 3442, 4581, 5506, 6851, 8069, 1003, 1146, 3073, 3314, 4222, 5458, 7186, 7384, 192, 1455, 2175, 3406, 5022, 5473, 6548, 7540, 913, 1786, 2673, 4031, 4573, 5893, 6493, 7988, 1081, 1918, 2159, 3240, 4881, 5930, 6267, 7704, 981, 1506, 2987, 3177, 4461, 6164, 7067, 7311, 403, 1653, 2552, 3857, 5026, 6136, 6674, 7882, 211, 1139, 2242, 3511, 4360, 6189, 6939, 7577, 1056, 2090, 2792, 4067, 4287, 6025, 6668, 7574, 1099, 2106, 2803, 4041, 4179, 6014, 6776, 8236, 337, 1752, 2970, 4011, 4888, 5767, 6604, 7591, 617, 1623, 2970, 4089, 4681, 5811, 7084, 7442, 334, 1264, 2886, 3850, 4246, 5413, 6877, 7476, 225, 1633, 3017, 3761, 4836, 5520, 6657, 8045, 568, 1958, 3064, 3550, 4423, 5241, 7024, 7749, 859, 1684, 2792, 3680, 5120, 5586, 7024, 7985, 555, 1851, 3021, 3761, 4782, 6063, 6485, 7906, 216, 1467, 2941, 3374, 4954, 6222, 6998, 7481, 492, 1518, 2669, 3751, 4455, 5492, 6748, 8016, 247, 1636, 2706, 3413, 4843, 5675, 7033, 7422, 247, 1472, 2345, 3973, 4552, 5396, 6857, 7959, 465, 1397, 2271, 3869, 4318, 5826, 6512, 8050, 1090, 2107, 3092, 3704, 5150, 5396, 6899, 7892, 1025, 1350, 3092, 3593, 4385, 5616, 6478, 7620, 1025, 2055, 2387, 3991, 4426, 5836, 6835, 7467, 993, 1676, 2750, 3901, 4280, 5643, 7167, 7386, 993, 1572, 2419, 3605, 5139, 5706, 7114, 7652, 526, 1164, 2137, 3191, 5062, 5544, 6592, 7821, 936, 2009, 2717, 4137, 4455, 5205, 6898, 7860, 884, 1732, 2137, 3421, 4823, 5538, 6560, 7578, 881, 1675, 2751, 3261, 4212, 5863, 6919, 8061, 840, 1653, 2314, 3298, 4321, 5752, 6292, 8182, 424, 1509, 2556, 4082, 4191, 5993, 6898, 8061, 887, 1227, 2429, 3916, 4896, 5294, 7098, 7311, 887, 1227, 2282, 3822, 4993, 5534, 7033, 7528, 887, 1675, 3092, 4096, 5073, 5512, 6413, 7971, 104, 1227, 2737, 3822, 5085, 5713, 6536, 8107, 104, 1773, 2737, 4152, 5080, 5516, 7207, 8070, 1025, 1773, 2256, 3975, 4842, 5614, 7120, 8099, 1025, 1773, 2163, 3201, 4374, 5767, 6740, 7547, 1029, 2045, 2163, 3376, 4318, 5465, 6295, 8092, 1025, 1596, 2389, 3376, 4709, 6152, 6663, 8217, 1094, 1529, 2348, 4096, 4796, 5890, 6803, 8067, 518, 1796, 3008, 3577, 4764, 5557, 7120, 7966, 518, 1488, 2905, 3909, 4895, 5844, 6348, 7906, 518, 2030, 2560, 3662, 4981, 5360, 6959, 8248, 256, 2030, 3026, 3356, 5007, 6063, 7165, 7317, 440, 1635, 2554, 4166, 4836, 5719, 6338, 8179, 256, 1635, 3064, 3374, 5128, 6175, 7120, 8202, 256, 2030, 2833, 3595, 5083, 5360, 6876, 8266, 256, 1525, 2959, 4145, 5104, 5962, 6719, 7557, 617, 1525, 2669, 3595, 5079, 5548, 7220, 8066, 103, 1827, 2833, 3391, 4423, 5844, 7033, 8199, 318, 1640, 2789, 3706, 4848, 5715, 7207, 7752, 986, 1776, 3091, 3776, 4710, 6130, 6235, 7852, 807, 1915, 3091, 3894, 4848, 6028, 6835, 7260, 986, 1393, 2346, 4172, 4604, 5927, 6262, 7402, 487, 1706, 2830, 3909, 4943, 5454, 6814, 7954, 545, 1850, 2346, 3195, 4458, 5224, 6729, 7756, 545, 1850, 2346, 4007, 4458, 5643, 6816, 8215, 1025, 1550, 3005, 3605, 5020, 5341, 6269, 7542, 610, 1550, 2924, 3169, 4604, 5853, 6733, 8101, 831, 1550, 3033, 3936, 4343, 5574, 6648, 8150, 391, 1561, 2491, 3964, 4611, 5325, 6924, 7862, 831, 1369, 2946, 3655, 4804, 5492, 7207, 8245, 1024, 1906, 2238, 3870, 4489, 6154, 7207, 8139, 1024, 1596, 2429, 3485, 4844, 5821, 6832, 8117, 678, 1369, 3026, 3986, 4904, 6048, 6623, 7629, 643, 1581, 2163, 3795, 4364, 5296, 6563, 8032, 1011, 1489, 2163, 3496, 4205, 5896, 6348, 7311, 1011, 1369, 2693, 3352, 4514, 6080, 6750, 7313, 678, 1581, 3092, 3251, 5183, 5366, 6239, 8022, 678, 1218, 3112, 3251, 5017, 5825, 6348, 7313, 678, 1919, 3092, 3932, 4670, 5836, 6740, 8070, 981, 1972, 2750, 3566, 4343, 6167, 6603, 7284, 1091, 2068, 2163, 3848, 5124, 5706, 6563, 7700, 678, 2073, 2838, 4114, 5120, 5573, 6579, 8214, 575, 1786, 2783, 3866, 4694, 5500, 6603, 8078, 857, 1827, 2429, 3842, 4774, 5784, 7157, 7839, 571, 1768, 2156, 3873, 4334, 6035, 7098, 7607, 453, 1707, 2144, 3704, 4555, 5624, 6614, 8240, 228, 2059, 2137, 3602, 4949, 5651, 6731, 8035, 228, 2073, 2346, 3697, 4983, 5296, 6486, 8083, 228, 2114, 2340, 3364, 5138, 6182, 6909, 7949, 228, 2127, 2221, 4125, 4555, 5219, 6589, 8130, 228, 1468, 2669, 4166, 4715, 5219, 6840, 8261, 256, 1468, 2803, 3595, 4877, 5413, 7152, 8261, 256, 2058, 2959, 3932, 4611, 5548, 6790, 7876, 555, 2111, 2554, 3595, 4681, 5296, 6752, 7303, 488, 2111, 2554, 3595, 5160, 5515, 6996, 8080, 860, 1528, 2806, 3825, 4704, 5892, 6612, 8196, 488, 1528, 3065, 3825, 4624, 6139, 6612, 8196, 488, 1622, 3117, 3367, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 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, 4, 2 ]

[ 1, 31, 16, 5, 66, 20, 51, 5, 30, 63, 45, 41, 66, 16, 30, 5, 11, 54, 5, 66, 73, 5, 16, 54, 17, 31, 35, 5, 64, 17, 28, 50, 44, 51, 66, 5, 16, 54, 30, 5, 31, 33, 54, 5, 16, 5, 43, 17, 53, 5, 51, 39, 53, 5, 41, 63, 17, 53, 5, 31, 16, 5, 52, 11, 63, 50, 35, 5, 63, 73, 53, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6081, 7124, 8223, 789, 1648, 2947, 3914, 4555, 6129, 6786, 7717, 767, 1803, 3147, 3162, 4620, 5603, 6605, 8164, 660, 1496, 2750, 3997, 4636, 5921, 6884, 7781, 512, 2046, 2936, 3951, 4691, 5963, 7100, 7908, 1097, 2063, 2838, 3917, 4622, 6103, 7095, 7838, 488, 1648, 3021, 4071, 4888, 5968, 7090, 7876, 818, 2017, 2781, 4011, 5080, 5635, 6709, 8147, 186, 1622, 3007, 3886, 4798, 5210, 7077, 8237, 568, 1320, 3147, 4092, 5160, 6118, 6918, 7485, 963, 1695, 2345, 3398, 5048, 5269, 7012, 7770, 568, 2111, 2560, 3259, 4426, 6048, 6757, 7707, 1102, 2097, 3026, 3207, 4746, 5220, 7121, 8070, 716, 1509, 2999, 3649, 5135, 5231, 6535, 7803, 262, 1503, 2710, 3700, 4815, 6003, 7007, 7454, 938, 1278, 2286, 3267, 4927, 5642, 7223, 7533, 938, 1535, 2764, 3752, 5066, 6179, 7085, 7792, 864, 1503, 2844, 4034, 4686, 5833, 6789, 7991, 1011, 1849, 2869, 3411, 4593, 5720, 6552, 7284, 643, 1672, 2363, 3851, 4467, 5202, 7199, 7925, 1047, 1812, 3060, 3240, 5176, 5405, 6612, 7548, 211, 1877, 2321, 3920, 4828, 6056, 7132, 8135, 308, 1727, 2366, 4018, 4592, 6129, 7090, 7570, 337, 1847, 3110, 4166, 4551, 6205, 6891, 8196, 488, 1648, 3117, 3710, 5058, 5534, 7124, 7720, 488, 1622, 2914, 3893, 4888, 6139, 7124, 8260, 186, 2017, 2781, 3893, 4798, 5901, 6750, 8147, 935, 2032, 2164, 3803, 4798, 5219, 6752, 8107, 132, 2073, 2781, 4124, 4828, 5241, 6996, 7838, 186, 2073, 2164, 3825, 4624, 5385, 7098, 7631, 171, 2106, 2971, 3932, 4423, 6205, 7207, 8260, 541, 1509, 2709, 3692, 5106, 5677, 7100, 7579, 271, 1510, 2337, 3826, 5077, 5587, 7230, 8073, 249, 1758, 2868, 3733, 4474, 5614, 6551, 7873, 492, 1758, 2492, 3262, 4383, 5775, 6869, 7496, 1062, 1507, 2559, 3358, 4679, 5435, 7112, 7453, 757, 1523, 2724, 4089, 4834, 5921, 6468, 8188, 518, 1930, 3026, 3321, 4219, 6123, 7131, 8024, 256, 1597, 2473, 3680, 4344, 5761, 7043, 7519, 256, 1597, 2781, 3891, 4344, 5548, 6515, 7727, 256, 2118, 2251, 3951, 4606, 5313, 7168, 7959, 945, 2097, 3144, 3710, 5106, 5901, 6889, 7717, 818, 2017, 2746, 3914, 5058, 5892, 6996, 8147, 818, 1528, 2781, 3188, 4912, 6103, 6972, 8260, 186, 1528, 2991, 3886, 4798, 6186, 7124, 7876, 334, 2073, 2692, 3873, 4398, 5730, 6474, 7717, 256, 1695, 2163, 4139, 4344, 5433, 6888, 8080, 356, 1116, 2436, 3540, 4801, 5958, 7149, 8085, 160, 1794, 2137, 4124, 4829, 5730, 7041, 7384, 465, 1717, 2725, 3298, 4974, 6090, 6316, 7778, 231, 2033, 2271, 3795, 5167, 5223, 7163, 7398, 804, 1791, 2724, 4135, 4983, 5902, 7010, 7411, 691, 1773, 2725, 3359, 4670, 5794, 7160, 8260, 326, 1821, 2610, 3292, 4949, 6120, 6818, 8253, 993, 1412, 2798, 3298, 4569, 6080, 6763, 8126, 993, 1785, 2282, 3380, 4604, 5507, 6481, 7564, 1057, 1609, 2274, 3380, 5185, 5950, 6448, 7487, 508, 1849, 3040, 3619, 4927, 5810, 6888, 7850, 547, 1873, 2274, 3883, 4332, 5719, 6615, 7669, 569, 1146, 3040, 3449, 4626, 5399, 7072, 7725, 1003, 1778, 3040, 4024, 4942, 5610, 6304, 8019, 641, 1867, 3040, 3256, 4991, 5495, 6983, 8256, 981, 1581, 2173, 3624, 5026, 6077, 6509, 7419, 1005, 1974, 2260, 3273, 5020, 5562, 6237, 7565, 641, 1436, 2455, 3819, 4514, 5610, 6828, 7607, 424, 1865, 3053, 3649, 5129, 6184, 6463, 7816, 1090, 1773, 3098, 3771, 4444, 5573, 6642, 7528, 663, 1770, 2924, 3789, 5080, 5573, 7154, 7557, 1056, 2024, 2924, 3910, 4890, 6175, 7239, 7791, 935, 2000, 2957, 3866, 5058, 5210, 6786, 7949, 186, 1508, 2947, 3516, 4630, 6182, 7132, 8237, 568, 1938, 3144, 4089, 4594, 6137, 6566, 7401, 568, 1789, 2328, 3528, 4259, 5640, 6840, 7505, 171, 1523, 3026, 3487, 4622, 6001, 7100, 7838, 891, 2088, 2293, 3671, 4215, 5761, 6965, 7510, 373, 1791, 3006, 4108, 4512, 5348, 6302, 7631, 955, 1486, 2608, 3556, 4782, 5592, 6870, 7358, 614, 2035, 3066, 4086, 4389, 5439, 6792, 7458, 993, 1600, 3003, 3590, 4873, 5899, 6725, 7689, 1057, 1878, 2256, 3174, 4565, 5918, 6419, 7814, 895, 1510, 2222, 4004, 4796, 5973, 6237, 8150, 391, 1510, 2534, 3761, 4720, 6111, 7168, 7808, 408, 1227, 2349, 4065, 4440, 6108, 7106, 7260, 1025, 1399, 2905, 3452, 4440, 5880, 6830, 7767, 986, 1463, 2139, 3811, 4900, 5700, 6458, 7365, 880, 1912, 2256, 4022, 4449, 5414, 6870, 7730, 569, 1976, 3130, 3787, 4318, 5999, 6674, 7905, 1084, 1180, 2480, 3787, 5074, 6125, 7140, 7954, 776, 1589, 2715, 3752, 5184, 5569, 6826, 8046, 610, 1609, 2316, 3836, 5130, 5695, 6454, 8137, 405, 1419, 2393, 3886, 4994, 5978, 6784, 7842, 899, 1881, 2473, 4093, 5106, 5869, 6874, 8083, 756, 2079, 2925, 4152, 4617, 5832, 6719, 8179, 274, 1455, 2904, 3932, 4423, 5714, 6734, 8141, 715, 1682, 2586, 3159, 5038, 5219, 6774, 8128, 1057, 1596, 2736, 3596, 4365, 5437, 6567, 8104, 1084, 1122, 2429, 4078, 5073, 5716, 6962, 7577, 317, 1557, 2293, 3697, 5095, 5795, 7102, 7570, 228, 1597, 3144, 3680, 4193, 5308, 6348, 7421, 228, 1597, 2659, 3550, 5079, 5273, 6515, 8253, 228, 2060, 3040, 3662, 5138, 6034, 6604, 8164, 240, 2127, 3040, 3827, 4583, 5844, 7019, 8118, 240, 2127, 2554, 3838, 4298, 5515, 6515, 8261, 240, 2002, 2221, 4113, 5079, 5241, 7103, 8076, 240, 2127, 2221, 3391, 4583, 5892, 6515, 8069, 228, 1851, 2880, 4125, 4638, 5514, 7043, 7563, 228, 2106, 2725, 3777, 4918, 5981, 6876, 8076, 105, 2034, 2554, 3487, 5159, 5719, 7069, 7664, 304, 1939, 3147, 3891, 5079, 6135, 7168, 8126, 249, 1346, 3010, 3343, 4906, 6130, 6474, 8069, 900, 1171, 2260, 3880, 4805, 6135, 6964, 7659, 900, 1489, 2358, 3843, 4321, 6135, 7212, 7273, 1011, 1743, 2337, 3448, 4490, 5545, 6871, 7570, 684, 1562, 2946, 3961, 4831, 5883, 6515, 7870, 1056, 1363, 2895, 3645, 4622, 5543, 6786, 7918, 684, 2068, 2729, 4174, 4573, 5899, 6589, 7641, 510, 1322, 3095, 4067, 4181, 5250, 6677, 7816, 914, 1939, 2960, 3361, 5166, 5661, 7077, 8179, 1097, 2041, 3043, 4071, 4583, 5832, 6709, 7949, 617, 1705, 2729, 4124, 5088, 5873, 6306, 7631, 256, 1320, 3021, 3771, 4411, 6048, 6812, 8213, 568, 1706, 2464, 3879, 4246, 5737, 6280, 7717, 356, 1623, 2936, 3832, 4555, 5378, 6443, 8080, 663, 1918, 2669, 3931, 4606, 5300, 6430, 7617, 495, 2095, 2987, 3348, 4877, 5918, 6350, 7904, 981, 1711, 2601, 3297, 4896, 5890, 6799, 8006, 575, 1706, 3125, 3892, 4437, 5639, 6648, 8170, 692, 1706, 3120, 3720, 4433, 5396, 7223, 7628, 1081, 1695, 2552, 3542, 5137, 5476, 6858, 7905, 103, 1777, 2383, 3751, 4673, 5963, 6704, 7303, 1097, 1508, 3021, 3803, 5061, 6149, 7100, 7664, 818, 1998, 3110, 3990, 4782, 5892, 6979, 7876, 915, 2017, 2164, 3645, 4980, 5241, 7120, 8260, 186, 1528, 2746, 4068, 5080, 6131, 7201, 8237, 419, 2017, 2730, 4150, 4798, 6081, 6810, 8237, 419, 1622, 2914, 3893, 4859, 5241, 6338, 7876, 617, 1623, 2327, 3646, 5120, 5606, 7019, 8261, 105, 1684, 2271, 3374, 4374, 5223, 7152, 7641, 915, 1623, 2970, 3592, 4704, 5514, 7226, 8080, 945, 1528, 2806, 3893, 4798, 5241, 7124, 7766, 860, 2017, 2806, 3825, 4704, 6139, 7124, 8223, 142, 1528, 2806, 3825, 4704, 6186, 7226, 8196, 488, 2017, 2914, 3893, 4624, 5635, 7124, 7766, 142, 1528, 2806, 3893, 4704, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3367, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2914, 3893, 4512, 6139, 6794, 8196, 488, 1648, 2914, 3893, 4624, 5635, 6752, 8196, 488, 1648, 2914, 3893, 4512, 5767, 6515, 8223, 915, 2017, 2833, 3914, 4512, 5981, 7124, 7732, 488, 1648, 3021, 4071, 4512, 5635, 7077, 8147, 915, 2017, 3021, 3374, 4870, 5534, 7077, 7717, 915, 2017, 3021, 3914, 4512, 5892, 6584, 8126, 488, 1528, 2164, 3893, 4624, 6081, 6752, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 488, 1622, 3021, 3893, 4624, 6139, 6584, 7766, 142, 1528, 2806, 3825, 4704, 6081, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 915, 1851, 3065, 3914, 5083, 5635, 6338, 8236, 789, 2106, 2970, 3413, 4611, 5586, 6338, 7753, 356, 1347, 2453, 3430, 4775, 5388, 7140, 8209, 660, 1672, 2953, 4026, 4340, 6101, 6540, 7361, 966, 2125, 2871, 3592, 4310, 6003, 6957, 8253, 113, 1178, 2486, 3592, 4909, 5889, 7229, 7938, 1024, 1581, 3075, 3399, 4364, 5374, 7085, 8128, 104, 1141, 2678, 3703, 5020, 5954, 6985, 7899, 391, 2055, 2868, 3558, 4214, 6094, 6611, 8269, 424, 1932, 2940, 3645, 4210, 5438, 6359, 7678, 663, 1847, 3095, 3789, 4387, 6175, 6725, 7488, 645, 1120, 2340, 3391, 4981, 5436, 7162, 8260, 844, 1791, 2953, 3866, 4881, 6160, 7095, 7658, 536, 2118, 2490, 3660, 4927, 5283, 6504, 7823, 492, 1916, 2953, 4031, 5138, 5259, 6676, 7986, 247, 1139, 2689, 3882, 4790, 5469, 6839, 7508, 881, 1938, 2348, 4037, 4364, 6144, 6806, 7985, 465, 2105, 2225, 4087, 4636, 6101, 6227, 7758, 536, 1354, 2225, 3967, 5114, 5745, 6735, 7275, 1005, 1828, 3019, 3305, 4992, 5589, 6755, 7362, 1025, 1828, 3120, 3848, 4691, 5589, 6224, 7467, 1025, 1145, 2766, 3407, 4443, 6222, 7140, 7654, 271, 1608, 2728, 3916, 4214, 5565, 6707, 8075, 895, 1904, 2896, 3516, 4310, 5526, 6456, 8002, 91, 1548, 2308, 4087, 5064, 6126, 7202, 8173, 776, 1759, 2611, 3357, 4994, 5620, 6615, 8250, 776, 1151, 2553, 3512, 4794, 6087, 6615, 7850, 955, 1386, 2642, 3680, 4327, 6141, 6676, 7936, 833, 1869, 2869, 3967, 5108, 5705, 7033, 7680, 405, 1939, 2642, 3732, 4589, 5730, 6612, 8136, 959, 2042, 3040, 4114, 4596, 6103, 6651, 7563, 1047, 1596, 3086, 3932, 4633, 5473, 6835, 8017, 390, 2073, 2254, 3564, 5135, 5436, 6392, 8253, 776, 1596, 2250, 3595, 5068, 5313, 7093, 8078, 891, 2084, 2896, 3685, 5127, 5643, 6612, 8154, 160, 1183, 3023, 4138, 4836, 6009, 6853, 7583, 1052, 1183, 2847, 3812, 5171, 5719, 6493, 7889, 508, 2009, 2316, 3806, 5134, 5816, 6501, 7883, 508, 2009, 2692, 3154, 4462, 5740, 6679, 7672, 508, 2009, 2316, 3736, 4403, 5570, 6834, 7515, 485, 1728, 2889, 3979, 5151, 5738, 6494, 7895, 884, 1151, 3040, 3501, 4415, 6000, 6311, 7329, 1025, 1874, 3040, 4154, 4462, 5562, 6377, 8189, 610, 1692, 2688, 3961, 5095, 5883, 6426, 7950, 150, 1881, 3092, 3316, 5107, 5493, 6677, 8085, 887, 1630, 2381, 3929, 5073, 5981, 6319, 7887, 887, 2053, 2591, 3540, 5193, 5379, 7221, 7488, 104, 2125, 2391, 3715, 4983, 5413, 6870, 7901, 1025, 1773, 3109, 3778, 5169, 5610, 7120, 7508, 610, 1212, 2924, 3789, 4287, 5641, 7232, 7949, 150, 1238, 2503, 3758, 5159, 5727, 6908, 8245, 104, 1141, 3101, 3196, 4365, 5344, 6684, 7846, 271, 2079, 3080, 3582, 4801, 5573, 6393, 7941, 1025, 1350, 2387, 4096, 5023, 5952, 6410, 7598, 610, 1791, 2429, 3201, 4780, 5981, 6348, 7941, 1056, 1992, 3006, 3901, 5169, 6085, 7207, 7948, 484, 1833, 2728, 3253, 4828, 6182, 6972, 7806, 186, 2000, 3008, 4018, 4630, 5219, 6786, 7723, 935, 1791, 2991, 4174, 4980, 5705, 7006, 8223, 757, 1320, 2860, 4011, 4225, 5678, 6830, 7973, 221, 1257, 2137, 4057, 4424, 5697, 7168, 7951, 183, 2070, 2232, 3376, 5051, 5929, 6677, 7895, 617, 1623, 2998, 3217, 4713, 5719, 6286, 7563, 863, 1577, 3021, 3253, 4797, 5960, 7232, 7807, 115, 1672, 3118, 3751, 5011, 6073, 6627, 8190, 683, 1919, 2552, 3850, 4482, 5512, 6945, 7524, 137, 1942, 2288, 3396, 5088, 5276, 6474, 8259, 487, 1403, 2421, 3476, 4364, 5734, 6967, 7839, 986, 1397, 3142, 3225, 4991, 5589, 6762, 7917, 988, 1118, 3116, 3986, 4595, 5794, 6350, 7613, 839, 1708, 2688, 3329, 4644, 5952, 6847, 7913, 1040, 1550, 2751, 3984, 4650, 6000, 6883, 7704, 986, 1931, 2480, 3623, 4335, 5512, 6883, 7771, 880, 1773, 2232, 3276, 4385, 5454, 6413, 7791, 487, 1682, 2258, 3513, 4298, 5454, 7129, 7480, 826, 1141, 2348, 3995, 4604, 5223, 6611, 7838, 424, 1189, 2352, 3601, 4697, 6209, 6818, 7707, 104, 1717, 2661, 3403, 4822, 5835, 7017, 8178, 1090, 1831, 2783, 3987, 4385, 5219, 7114, 8132, 1090, 1831, 3098, 3908, 4954, 5219, 7010, 8266, 1090, 1831, 3144, 4027, 5127, 5565, 6430, 7675, 104, 1717, 2661, 3968, 5153, 6175, 6842, 7519, 1090, 1831, 2783, 3987, 4287, 5219, 7017, 8237, 1090, 1660, 3075, 3962, 5088, 5901, 7010, 8147, 1097, 1945, 3095, 4174, 5058, 6085, 7239, 7485, 617, 1851, 2709, 3886, 5053, 6146, 6850, 7563, 518, 1635, 2287, 4083, 5139, 5548, 7114, 7252, 901, 2106, 3092, 4092, 4298, 6110, 6938, 8057, 878, 1635, 3147, 3788, 5159, 5514, 6607, 8266, 579, 2073, 2473, 3188, 5104, 5548, 7218, 7979, 171, 1141, 2754, 3776, 4843, 5873, 7058, 7747, 1033, 2035, 2670, 3771, 5183, 6114, 7058, 8215, 492, 1743, 2256, 3578, 4295, 6084, 6721, 7574, 113, 1660, 2805, 3991, 4843, 5744, 6259, 7972, 831, 1581, 2402, 3472, 4440, 5873, 6520, 7494, 104, 1717, 2610, 3922, 4993, 5475, 7230, 8266, 1025, 1350, 2716, 3973, 4807, 6085, 6901, 7457, 826, 1676, 2282, 4162, 5160, 5903, 7004, 7941, 778, 1721, 2750, 3776, 4849, 5500, 7023, 7962, 887, 1932, 2591, 3430, 5088, 6014, 6348, 8236, 1090, 1146, 3075, 3188, 4287, 6175, 7084, 7260, 756, 1964, 2895, 3480, 4551, 5765, 7120, 7677, 691, 1660, 2766, 3313, 4583, 5678, 6311, 7264, 344, 1926, 2748, 3193, 4686, 5380, 6466, 7927, 277, 1926, 2748, 3434, 4616, 5408, 6928, 7479, 876, 1926, 2974, 3276, 5023, 5205, 6828, 7896, 1016, 1439, 2173, 3314, 4631, 5899, 6345, 8135, 1090, 1146, 3040, 3478, 5148, 5894, 7037, 8174, 610, 1469, 2435, 3372, 4506, 6064, 6731, 7959, 1090, 1503, 2797, 3305, 5003, 5515, 7103, 7908, 610, 1974, 2990, 3844, 4589, 5850, 6748, 8028, 831, 1974, 3073, 3213, 4667, 5235, 6255, 7408, 610, 1974, 3061, 3975, 5095, 5938, 7123, 7906, 887, 1326, 2567, 3479, 5193, 5651, 6551, 7355, 936, 1572, 2485, 3567, 4855, 5332, 6694, 8188, 531, 1926, 2751, 3979, 5191, 5819, 6659, 8050, 333, 2036, 2173, 3974, 5158, 6030, 6429, 7462, 113, 1751, 2173, 3343, 4585, 5711, 6920, 7737, 1030, 1926, 2435, 3276, 4809, 5739, 7142, 8251, 333, 2126, 2173, 3700, 4660, 5272, 6899, 8157, 333, 1489, 2173, 3781, 4962, 5889, 6550, 7985, 662, 2036, 2173, 3684, 4442, 6120, 6561, 7435, 113, 1387, 2173, 3406, 4805, 5643, 6267, 7551, 810, 2043, 3076, 3282, 5175, 5997, 6476, 7930, 995, 1751, 2848, 3496, 4945, 5322, 6354, 8206, 692, 1339, 2751, 3418, 4773, 5806, 6267, 7359, 952, 1139, 2678, 3281, 4464, 5782, 6884, 8041, 304, 1956, 2775, 3605, 4478, 5898, 7238, 7673, 308, 1763, 3108, 3710, 5083, 5543, 6752, 7591, 804, 1869, 2839, 3645, 4611, 5788, 6980, 7899, 225, 1264, 2970, 4026, 4179, 5308, 7095, 7658, 225, 1186, 2741, 3234, 4916, 5474, 7100, 7612, 952, 1623, 2875, 3752, 5084, 6184, 6816, 7260, 160, 1732, 2741, 3909, 4386, 5421, 7042, 7743, 778, 1373, 2631, 3964, 4736, 5446, 6426, 8046, 280, 1421, 2660, 3572, 4277, 5840, 6860, 8249, 850, 1821, 2905, 3375, 4955, 5643, 6738, 7367, 864, 1141, 3046, 3385, 4607, 5481, 6813, 8139, 1024, 1196, 2975, 4044, 4448, 6171, 6391, 7996, 831, 1778, 2352, 4073, 4884, 5433, 7120, 7570, 678, 1833, 2470, 4011, 5060, 5413, 6968, 8179, 390, 2068, 2957, 3819, 5038, 5824, 6858, 8213, 980, 2121, 2960, 4114, 4727, 5596, 7119, 8143, 424, 2035, 2925, 3977, 4559, 6064, 7023, 7768, 537, 1577, 2534, 3540, 4829, 6160, 7084, 7458, 1047, 1146, 2833, 3784, 5104, 5586, 6633, 7676, 424, 1527, 3151, 3916, 4611, 5320, 7220, 7498, 1024, 2079, 2659, 3767, 4374, 5678, 6490, 7437, 970, 2053, 2421, 3756, 4900, 5512, 6569, 7627, 938, 1674, 2345, 3870, 4592, 5934, 6884, 7622, 938, 1598, 2506, 3174, 4688, 6122, 6982, 8234, 1011, 1685, 2506, 3826, 5079, 6155, 6979, 7462, 831, 1778, 2207, 4115, 5083, 5801, 6743, 8040, 1024, 1867, 2885, 3900, 4594, 5777, 7189, 7437, 547, 1897, 2965, 3159, 4594, 5247, 6333, 8221, 970, 1591, 3123, 3218, 4594, 5866, 6542, 7962, 504, 1858, 2993, 3581, 4448, 5308, 7073, 7838, 504, 1858, 2963, 3780, 4621, 5653, 6572, 8098, 678, 1209, 2944, 3949, 4759, 5496, 7181, 7607, 940, 1831, 2809, 3740, 5143, 6015, 6610, 7807, 424, 1858, 3007, 3671, 4556, 6170, 6540, 7448, 610, 1146, 2278, 4143, 4389, 6130, 7149, 7767, 887, 1674, 2762, 3375, 5080, 5327, 6903, 8026, 1025, 1218, 2387, 3205, 5040, 5899, 6913, 7361, 424, 1931, 3080, 3407, 4981, 6146, 6736, 7703, 663, 1845, 2436, 4068, 4592, 5438, 6786, 7720, 684, 1932, 2957, 3188, 5145, 6103, 6786, 7720, 488, 2041, 2914, 3188, 5038, 6129, 6752, 8237, 488, 1622, 3135, 3990, 4366, 6139, 6972, 8147, 818, 2017, 2914, 3886, 5080, 6129, 7239, 8260, 488, 1528, 2914, 3893, 4624, 5705, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7201, 7766, 818, 1648, 2164, 3825, 5038, 5241, 7077, 7766, 818, 1622, 3135, 3893, 5080, 5635, 7239, 8196, 818, 1648, 2164, 3825, 5038, 5241, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 1648, 2970, 4071, 4798, 6186, 6996, 8196, 488, 1528, 2970, 4171, 4888, 5811, 6988, 7664, 915, 1974, 2729, 3391, 4583, 5677, 7069, 7715, 4, 2 ]

[ 1, 31, 57, 5, 44, 51, 64, 66, 63, 48, 53, 52, 47, 5, 64, 35, 62, 63, 26, 78, 30, 3, 915, 1851, 3117, 3914, 4555, 6211, 7077, 8147, 914, 1797, 2957, 4113, 4822, 6205, 6979, 8147, 390, 1893, 2989, 3982, 4470, 6063, 6988, 7723, 1056, 1139, 2980, 3352, 4630, 6051, 6980, 7948, 308, 1238, 2783, 4174, 4551, 6182, 7132, 7918, 304, 2067, 2803, 3932, 5104, 6182, 7162, 7421, 639, 1463, 2627, 3684, 5067, 5594, 7013, 7584, 1067, 1531, 3001, 3398, 4814, 5935, 6347, 7939, 784, 1682, 2298, 3357, 5030, 5404, 6577, 7639, 504, 1393, 2785, 3427, 4734, 5850, 6311, 7570, 386, 1199, 2887, 3243, 4548, 5717, 7232, 7644, 271, 1199, 2393, 3866, 4186, 6180, 6734, 7955, 504, 1976, 3060, 3314, 4244, 5884, 6953, 8125, 1081, 1776, 2391, 3960, 5177, 5283, 7133, 7894, 678, 1385, 2993, 3826, 4512, 5515, 7132, 8066, 643, 1318, 3109, 3325, 4814, 5727, 6605, 7983, 940, 1356, 2993, 3369, 4867, 6154, 7081, 7597, 970, 1641, 2321, 3840, 4191, 5515, 7197, 8252, 1081, 1641, 3019, 4135, 4708, 5815, 6687, 8151, 678, 1385, 2993, 3826, 4335, 5590, 6677, 8054, 643, 1318, 3109, 3325, 5159, 6146, 6901, 7846, 940, 1356, 2381, 3325, 4925, 6205, 6615, 7311, 970, 1976, 3128, 3909, 4787, 5378, 7111, 8093, 970, 2073, 2940, 3645, 5164, 5469, 6980, 8209, 91, 2008, 2429, 3710, 4667, 6137, 6831, 8139, 643, 1510, 3085, 4166, 4978, 5444, 7152, 7992, 401, 1635, 2918, 3271, 4586, 5797, 6853, 7717, 1081, 2053, 2801, 3341, 4954, 5470, 6624, 7764, 1056, 1388, 2595, 3822, 4942, 5811, 7218, 7962, 308, 1876, 2880, 3961, 5115, 5630, 7157, 7876, 419, 1998, 2880, 3929, 5061, 5580, 7006, 7563, 105, 1372, 2880, 4103, 4638, 5413, 6709, 7831, 617, 1550, 2833, 3550, 4549, 5438, 7239, 8130, 334, 1570, 2278, 3746, 4859, 5624, 6740, 7442, 699, 2030, 2830, 4006, 5159, 5386, 7024, 7318, 225, 2061, 3048, 3817, 4993, 5215, 6680, 7563, 225, 1424, 2976, 3891, 5128, 5548, 6338, 7643, 518, 1440, 2833, 3711, 5138, 6149, 7160, 8130, 256, 1426, 2775, 3352, 4985, 5837, 6688, 7706, 105, 1108, 2721, 4006, 5167, 5678, 7077, 7664, 105, 1623, 2941, 4096, 5060, 5534, 6443, 7476, 859, 2127, 2946, 4015, 4583, 5514, 6988, 7563, 579, 1264, 2554, 3361, 4267, 5385, 6698, 7538, 541, 1961, 2287, 3348, 4467, 5385, 7152, 8019, 1062, 1596, 2288, 3944, 4321, 5386, 6876, 7671, 1033, 1566, 3026, 3975, 5000, 5573, 6625, 8136, 536, 1758, 3053, 3540, 4321, 6192, 7066, 8268, 299, 1758, 2775, 3815, 4734, 5255, 6789, 8038, 299, 1553, 2625, 3776, 5050, 5642, 6224, 7549, 299, 1806, 2503, 3741, 4522, 5366, 6828, 7267, 104, 1806, 2232, 4007, 4374, 5765, 7085, 8078, 1025, 1942, 3020, 3756, 4195, 5633, 6251, 7329, 826, 1561, 2389, 4103, 4604, 5950, 6584, 7534, 887, 1581, 2265, 3955, 4494, 5765, 6824, 8266, 850, 1676, 2436, 3361, 4530, 5523, 7023, 7260, 778, 1671, 2462, 4145, 5104, 5978, 6348, 8236, 104, 1976, 2520, 4145, 4536, 5981, 7132, 7962, 1025, 1821, 2365, 3885, 4374, 6014, 6412, 7767, 408, 1771, 2710, 3899, 4588, 5589, 6658, 8171, 850, 1676, 2470, 3361, 4387, 5366, 6410, 7676, 778, 1141, 2716, 3370, 4949, 5344, 7007, 8261, 1005, 1596, 2980, 4039, 4611, 5350, 7078, 8124, 826, 2118, 2562, 4096, 4604, 5696, 6847, 7675, 807, 1935, 2797, 3394, 4644, 5810, 7009, 7912, 1025, 1732, 3020, 3392, 4555, 5615, 6592, 7539, 424, 1876, 2751, 4096, 5098, 5802, 6715, 8085, 317, 1363, 2801, 3421, 5164, 5761, 6938, 7423, 334, 1736, 2329, 3838, 4381, 6051, 6671, 7367, 699, 1736, 2172, 3394, 4344, 5650, 6439, 7445, 654, 2002, 2856, 3933, 5079, 5936, 7129, 7671, 654, 1424, 2904, 3376, 4762, 5548, 6752, 8237, 240, 2061, 2904, 3570, 5135, 5438, 6752, 7369, 617, 1467, 2473, 3595, 5138, 5678, 6776, 7753, 650, 1173, 2703, 3993, 4513, 5216, 6308, 8195, 993, 1299, 2435, 3647, 4364, 5341, 6916, 8061, 1080, 1444, 2867, 3521, 4683, 5918, 6225, 8211, 804, 1173, 3043, 3226, 4992, 5650, 6314, 7664, 510, 1867, 2542, 3886, 5060, 5245, 6612, 7948, 1097, 1945, 2991, 3188, 4888, 5241, 7132, 8147, 935, 1648, 2991, 4174, 4822, 5210, 7023, 8066, 510, 1175, 3110, 3990, 5061, 6195, 6709, 7876, 489, 1910, 3092, 3710, 4918, 6063, 6909, 8180, 707, 1736, 2655, 3227, 4725, 5694, 6690, 7498, 223, 1386, 2215, 4165, 4993, 5802, 6771, 8016, 283, 1999, 3126, 3700, 5095, 5593, 6263, 7722, 784, 1977, 2332, 3237, 5174, 5970, 6522, 7571, 472, 1141, 2366, 3653, 4205, 5961, 6308, 7590, 179, 1838, 2835, 3233, 4547, 5976, 6693, 8137, 884, 1408, 2748, 3567, 4776, 5618, 6649, 7933, 508, 2009, 2376, 3379, 4321, 5750, 6957, 7273, 1084, 1989, 2751, 4136, 4281, 5700, 6523, 7261, 776, 1145, 2580, 3401, 4896, 6204, 7198, 7623, 981, 1775, 2766, 3736, 4364, 5568, 6478, 7965, 641, 1984, 3094, 4025, 4992, 5884, 6803, 7598, 645, 1607, 2261, 3252, 5050, 5930, 7162, 7771, 981, 1455, 2784, 3717, 4364, 5814, 7053, 7828, 103, 2065, 2182, 3949, 5134, 5955, 6348, 8222, 575, 2111, 2784, 3885, 4476, 5757, 7135, 7880, 272, 1653, 2918, 3714, 4886, 5704, 6986, 7260, 678, 1586, 2156, 3181, 4555, 5540, 7223, 8012, 585, 1562, 2610, 4011, 5015, 5661, 6267, 7365, 103, 1363, 2941, 3615, 4825, 6094, 6740, 7781, 103, 2068, 2833, 3424, 4343, 5968, 6625, 7649, 970, 1570, 2607, 3732, 5053, 5503, 6680, 7590, 678, 1397, 3007, 3838, 5139, 6014, 6412, 7677, 940, 1485, 2941, 3710, 4586, 6130, 6871, 8266, 678, 1397, 2912, 3838, 5107, 6181, 6840, 7481, 709, 1684, 2419, 3201, 4555, 6111, 7168, 7960, 211, 1594, 2833, 3563, 4641, 5379, 7207, 8241, 183, 1943, 2492, 3613, 5154, 5514, 7168, 7557, 183, 1540, 2542, 3962, 4220, 5534, 6348, 7476, 228, 1961, 2542, 4083, 5150, 5548, 7047, 8066, 240, 2127, 2904, 4108, 5157, 6186, 7043, 8126, 789, 1750, 2880, 3803, 4344, 5241, 7120, 8237, 915, 2017, 2781, 3825, 4398, 6149, 7120, 8237, 488, 1622, 2914, 3914, 4549, 6186, 7124, 8147, 789, 1585, 3064, 4125, 4179, 5493, 6612, 7865, 228, 2108, 2970, 3394, 4549, 5296, 6909, 7716, 818, 1623, 2560, 4145, 4890, 5963, 7124, 7563, 201, 2017, 2806, 3825, 4704, 6139, 6794, 7766, 488, 2017, 2806, 4071, 4624, 6081, 6794, 7485, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1648, 2914, 3893, 4624, 5635, 7226, 7766, 488, 1648, 2914, 3893, 4798, 6139, 6752, 7766, 488, 1648, 2914, 3893, 4870, 5635, 7124, 8147, 488, 1648, 2914, 4071, 4870, 6139, 7077, 7485, 488, 1648, 2858, 4071, 4870, 6139, 7120, 7485, 4, 2 ]

[ 1, 26, 5, 64, 39, 5, 31, 16, 5, 64, 44, 55, 42, 77, 16, 52, 33, 63, 44, 66, 47, 5, 17, 75, 5, 31, 45, 64, 5, 51, 56, 45, 54, 64, 44, 30, 16, 54, 64, 5, 15, 28, 64, 16, 52, 73, 66, 52, 47, 5, 64, 66, 73, 62, 16, 41, 27, 30, 5, 53, 48, 5, 41, 20, 63, 5, 16, 5, 66, 26, 53, 5, 5, 3, 945, 1528, 2806, 3893, 4704, 6211, 6752, 8066, 860, 1528, 2914, 3825, 4624, 6139, 7124, 8147, 488, 2073, 3065, 3893, 4624, 6186, 6688, 7715, 419, 1974, 2791, 3595, 4918, 5534, 6889, 7677, 899, 1620, 2340, 3413, 4387, 5624, 6607, 8237, 404, 1441, 2455, 3941, 4742, 5692, 6846, 7892, 511, 1719, 2488, 3463, 4205, 6169, 6448, 8203, 611, 1719, 3011, 4133, 5072, 5693, 6777, 7561, 856, 1732, 2233, 3615, 4839, 5962, 6998, 7712, 722, 1287, 2990, 3518, 4580, 6173, 6563, 7447, 987, 2095, 2304, 3862, 4954, 5728, 7241, 7919, 195, 1439, 3141, 3810, 4918, 5331, 7085, 7918, 195, 1570, 2190, 3513, 4412, 5220, 7173, 8169, 127, 2127, 2454, 3470, 4836, 5378, 6876, 7831, 654, 1112, 2340, 3341, 4344, 5520, 6348, 7920, 195, 1570, 2721, 4111, 5151, 5534, 6844, 7680, 518, 2060, 3133, 3955, 5127, 5372, 7010, 7706, 127, 1938, 2454, 3799, 4836, 5861, 6731, 8099, 518, 1332, 3064, 3917, 5128, 5767, 6584, 7477, 256, 1326, 2904, 3770, 4780, 5550, 7098, 7715, 105, 1974, 2833, 3446, 4681, 5223, 7152, 8100, 678, 1974, 2885, 3341, 4267, 6129, 6579, 7664, 808, 1896, 2172, 3766, 4952, 6213, 6383, 7674, 856, 1617, 2872, 3775, 5026, 5776, 6439, 7397, 992, 1205, 2940, 3575, 5194, 6220, 7111, 7614, 722, 1244, 2309, 3753, 4267, 5575, 6249, 8187, 1024, 1400, 2725, 3475, 5051, 5650, 6806, 7664, 1059, 1118, 2636, 3372, 4191, 5445, 7207, 7658, 987, 1886, 3033, 3653, 4186, 5224, 6485, 7704, 335, 1886, 2380, 3588, 4953, 5665, 6536, 7710, 955, 1759, 2598, 3973, 4775, 5865, 7103, 7545, 512, 1402, 3098, 4005, 4533, 5536, 6668, 7533, 1056, 1773, 2945, 3870, 4691, 6182, 7047, 8260, 955, 1700, 2728, 4114, 5061, 5635, 7168, 7723, 955, 1887, 2328, 3162, 4191, 5610, 7132, 7717, 952, 1821, 2473, 3752, 4181, 6184, 6443, 7906, 650, 1930, 2144, 4095, 4664, 5631, 6987, 7262, 920, 2048, 2621, 3286, 4604, 5648, 6650, 7761, 487, 1393, 2415, 3695, 5165, 6110, 7229, 8139, 487, 1117, 2678, 3396, 4604, 6154, 6710, 8000, 487, 1581, 2348, 3798, 4604, 5658, 6762, 8209, 986, 1924, 3029, 3728, 4795, 5780, 6521, 7921, 986, 1700, 2678, 3936, 4441, 5629, 6612, 7778, 582, 2079, 2492, 4120, 4539, 6172, 7079, 7693, 778, 1815, 2750, 3421, 5124, 5880, 6811, 7664, 104, 1905, 2156, 3741, 4869, 5765, 7114, 7948, 1025, 1905, 2771, 3908, 4881, 5926, 6982, 8245, 610, 1510, 2895, 3363, 4298, 5923, 6593, 7508, 103, 1700, 2669, 3410, 5011, 5665, 6466, 7869, 715, 1286, 2990, 3771, 4606, 5656, 6684, 7965, 1056, 2034, 2709, 3769, 4205, 5766, 7207, 8117, 512, 1118, 2340, 3819, 4664, 5811, 6579, 7753, 684, 1847, 3135, 3623, 4971, 5519, 7152, 7811, 914, 1508, 2833, 3550, 4954, 5378, 6612, 7949, 789, 1869, 2718, 3671, 4870, 5719, 7069, 7908, 256, 1286, 3144, 3623, 5038, 5811, 6840, 8260, 225, 2106, 2854, 3955, 4859, 5761, 7048, 7716, 699, 1597, 2359, 3798, 4555, 5438, 7237, 7664, 654, 2002, 2335, 3547, 5079, 5840, 6998, 7643, 518, 2061, 2542, 3662, 5159, 5733, 6986, 7715, 127, 2061, 2833, 4138, 5120, 5719, 6607, 7664, 518, 1961, 2542, 4174, 4412, 5942, 7152, 8185, 654, 2106, 2725, 3359, 4326, 5223, 6996, 7485, 518, 1452, 2316, 4124, 4267, 6097, 6338, 7252, 824, 1345, 2335, 3976, 4611, 5296, 6763, 7376, 654, 1452, 2725, 4006, 4836, 5223, 7058, 8236, 518, 1938, 2904, 3914, 4775, 5942, 6256, 7485, 335, 1938, 2971, 3975, 4618, 5678, 6850, 7842, 149, 1749, 3097, 3639, 4836, 5690, 7087, 7842, 735, 1289, 2697, 3300, 4428, 6065, 7187, 7967, 722, 1244, 2361, 3639, 5124, 5538, 6790, 7658, 948, 1829, 2455, 3372, 4459, 5781, 6715, 7683, 335, 1668, 2754, 3932, 4760, 5485, 6507, 7831, 731, 1463, 3053, 3771, 4691, 6068, 6771, 8080, 767, 1545, 2782, 3771, 4374, 5771, 7244, 7953, 335, 1982, 3059, 3259, 4693, 5663, 7126, 7366, 722, 2047, 2579, 3634, 4966, 5423, 6958, 7602, 223, 1669, 2148, 3981, 4562, 5286, 6957, 7367, 386, 1227, 2646, 3790, 4388, 5924, 7065, 7659, 223, 2102, 2175, 4038, 4791, 5664, 6610, 7430, 987, 1948, 2693, 3582, 4363, 5965, 6895, 7254, 613, 1167, 2595, 3273, 4954, 6130, 6803, 7462, 613, 1692, 2595, 4073, 4711, 5625, 6224, 8227, 487, 1797, 2595, 3811, 4985, 5325, 6241, 7627, 271, 1951, 2910, 3513, 4978, 5762, 6626, 7873, 363, 1171, 2161, 3865, 4364, 5613, 7198, 8189, 314, 1826, 2536, 3770, 4364, 5605, 6263, 7919, 443, 1199, 2678, 4072, 4687, 5316, 6765, 7696, 150, 1740, 2348, 3787, 4506, 6118, 7223, 7785, 508, 2033, 2536, 3864, 4531, 6043, 6347, 7639, 231, 1972, 2652, 3964, 4609, 5898, 7041, 7586, 778, 1770, 3040, 3776, 4707, 5404, 6348, 7605, 952, 1139, 2905, 4047, 4531, 5534, 7126, 7962, 1084, 1171, 2173, 3425, 5138, 5474, 6396, 8006, 930, 1183, 2505, 3205, 4596, 5477, 6556, 8151, 404, 1596, 2458, 4015, 4621, 5512, 6678, 7561, 113, 1650, 2494, 3967, 4902, 6190, 6262, 7336, 161, 1581, 2289, 3562, 4217, 6043, 7131, 7803, 810, 2107, 2343, 3306, 4482, 5494, 6255, 8048, 793, 1496, 2494, 3284, 4714, 5291, 6978, 7680, 1040, 1675, 2757, 3770, 4921, 5408, 6545, 8258, 840, 1627, 2810, 3586, 4238, 5411, 6978, 7954, 840, 1655, 2273, 3168, 5176, 6125, 6806, 7537, 536, 2092, 2483, 4063, 4753, 6002, 6991, 7760, 536, 1317, 2128, 3660, 4359, 5623, 7156, 8248, 536, 1512, 2490, 4099, 4242, 5204, 6504, 8063, 113, 1758, 2975, 3366, 4673, 5403, 6871, 7559, 1057, 1545, 2250, 3271, 4582, 5557, 6256, 7977, 895, 1119, 2453, 3864, 4878, 6194, 7163, 7503, 1024, 1586, 2187, 4037, 4434, 5464, 7163, 7462, 913, 1586, 2520, 4007, 4727, 6001, 6890, 8049, 863, 1510, 3128, 3885, 4615, 6097, 6740, 7396, 427, 1485, 3135, 4145, 4859, 5840, 7218, 7949, 952, 1556, 2349, 3488, 4270, 5678, 6776, 7936, 844, 2107, 2656, 3924, 4966, 6168, 7085, 7669, 569, 1388, 2775, 3741, 4839, 5893, 6869, 8164, 480, 1808, 2751, 3709, 4678, 6113, 6734, 7643, 487, 1399, 2610, 3417, 4739, 5482, 7143, 8092, 986, 1397, 2850, 3456, 5135, 5584, 6284, 7321, 850, 1116, 3116, 3986, 4949, 6222, 6625, 8269, 404, 1118, 2751, 4103, 4278, 5745, 7152, 7492, 862, 1399, 2720, 3870, 4350, 5613, 6334, 8132, 1080, 1881, 3116, 3892, 4694, 6119, 7229, 7291, 641, 1986, 2298, 3680, 4955, 5386, 6313, 7931, 308, 2073, 2498, 3983, 4556, 5643, 6607, 8081, 779, 1330, 2991, 3226, 4622, 6103, 7149, 7816, 709, 1847, 2473, 3776, 4895, 5573, 7220, 7948, 440, 1525, 2798, 3932, 5088, 5514, 7081, 7291, 927, 1820, 2355, 3922, 4344, 5266, 6376, 7752, 115, 1507, 2842, 4106, 5144, 6207, 7013, 7789, 781, 1496, 2561, 3205, 5147, 5487, 6387, 7683, 326, 1688, 2626, 3900, 4510, 6203, 6565, 7528, 317, 1778, 2871, 3595, 4197, 5723, 6224, 7971, 195, 1633, 2151, 4137, 4344, 5656, 6619, 8216, 195, 1750, 2646, 3456, 4458, 5821, 6894, 7317, 654, 1525, 2349, 3313, 5088, 5844, 6757, 7816, 518, 1971, 2875, 4113, 4240, 5963, 6612, 8150, 552, 2097, 2874, 3470, 4925, 5719, 7129, 7753, 818, 1756, 2875, 3803, 4214, 5413, 6786, 8248, 419, 2017, 2914, 3595, 4890, 5372, 7120, 7753, 555, 1622, 2806, 3825, 4822, 5296, 6604, 8223, 617, 1386, 2988, 3595, 4923, 6085, 6752, 8066, 293, 1198, 2461, 3236, 4898, 5684, 6768, 7291, 579, 1562, 2235, 4004, 5083, 5740, 6881, 8036, 579, 1157, 3095, 3470, 4644, 5465, 6619, 7500, 955, 1981, 2360, 3975, 4374, 5448, 7140, 8262, 1033, 1306, 2860, 3616, 5018, 5910, 6901, 7865, 504, 1200, 2750, 3467, 4966, 5568, 7047, 8143, 608, 1371, 2767, 3295, 4988, 5991, 7069, 7752, 271, 1914, 2282, 3918, 4598, 5244, 6997, 8023, 1025, 1897, 2946, 3175, 4982, 6197, 6567, 7658, 610, 1370, 2897, 3493, 5026, 5436, 6852, 7558, 778, 1858, 2556, 3987, 5073, 6008, 6579, 7602, 299, 1571, 2503, 3540, 5018, 6142, 7232, 7262, 299, 1850, 2282, 3471, 4324, 5728, 7049, 7966, 299, 1510, 2503, 3167, 4983, 5344, 7163, 8261, 299, 1388, 2448, 3605, 4807, 5714, 6632, 7721, 299, 1570, 2693, 4137, 4763, 5599, 6348, 7816, 1056, 1646, 2316, 3832, 4494, 5880, 7008, 8040, 955, 1428, 2750, 3999, 4536, 5942, 7160, 8261, 955, 1620, 3033, 3932, 5080, 6211, 7181, 7806, 955, 1620, 2944, 3516, 5165, 5749, 7201, 8126, 955, 2000, 2678, 3226, 4849, 5761, 7152, 7421, 288, 1885, 2949, 3955, 4541, 6058, 6972, 7948, 240, 1946, 2239, 3394, 4782, 5844, 6889, 8092, 127, 1201, 2869, 3706, 4644, 5350, 6688, 7641, 518, 1140, 2542, 3277, 5052, 6110, 6816, 7737, 518, 1756, 2833, 4011, 5012, 6110, 6478, 7557, 228, 1201, 3133, 3822, 4459, 5221, 6265, 7383, 568, 1750, 2221, 3768, 5103, 5767, 7168, 7749, 617, 1806, 3144, 4125, 4638, 5792, 6238, 8077, 401, 1333, 2898, 3282, 4287, 5364, 6603, 7825, 1071, 2001, 2953, 3201, 4850, 6160, 7129, 7710, 778, 1832, 2492, 3225, 4876, 5668, 7234, 7784, 459, 1932, 2725, 3327, 4934, 6002, 6382, 7481, 913, 1821, 2697, 3646, 4775, 5600, 6498, 7852, 397, 2107, 2424, 3761, 4459, 5704, 7229, 8119, 987, 1388, 2780, 3646, 4523, 5298, 6840, 7474, 952, 1821, 2944, 4095, 4966, 6128, 7075, 8188, 234, 1349, 2793, 3613, 4946, 5431, 7232, 7383, 1040, 1989, 2625, 3796, 4205, 5880, 6442, 7824, 850, 1275, 2951, 3298, 4244, 5474, 7232, 7329, 826, 1938, 2777, 3943, 4429, 5648, 6309, 7904, 104, 1210, 2951, 3232, 4288, 5464, 7086, 7904, 391, 1881, 2282, 3889, 4796, 5668, 6775, 7817, 1090, 1275, 2871, 3771, 4807, 6010, 6938, 7753, 610, 1763, 2924, 4145, 5159, 6156, 6771, 8126, 419, 2000, 2820, 4108, 4912, 5892, 6604, 8237, 127, 2127, 3065, 4145, 4551, 5520, 7237, 8126, 127, 1304, 3133, 3866, 4501, 6110, 6752, 8203, 518, 1961, 2970, 3576, 4423, 6149, 7009, 8107, 568, 1791, 2221, 3796, 4344, 5534, 6498, 7303, 552, 2061, 3033, 3799, 4607, 5216, 6540, 7498, 948, 1705, 2151, 3810, 4630, 5614, 6889, 7842, 262, 1206, 2549, 3770, 4501, 5210, 6263, 7469, 493, 1719, 2861, 3770, 4510, 5533, 6225, 7363, 363, 1719, 2873, 4007, 4800, 5220, 7009, 8255, 640, 2115, 2271, 3661, 4473, 5490, 6680, 7740, 1067, 2109, 2507, 3286, 4239, 6054, 6978, 8137, 373, 2009, 2436, 3951, 4323, 6061, 6587, 7680, 1056, 1881, 2522, 3962, 4674, 5276, 6884, 8221, 308, 1424, 3008, 3231, 4609, 5548, 6988, 8267, 552, 1963, 2947, 3885, 4447, 6014, 7149, 7948, 308, 2000, 2880, 3487, 5061, 5210, 6709, 7949, 552, 2068, 3128, 3710, 5166, 5630, 7090, 8093, 510, 1467, 2984, 4114, 5088, 5832, 6540, 8185, 276, 1198, 2788, 3746, 4607, 6105, 6846, 7767, 225, 1596, 2468, 3832, 4914, 5385, 6829, 7488, 225, 2111, 3048, 3277, 5197, 5548, 6604, 7605, 654, 1597, 3150, 3596, 4412, 5385, 6863, 7983, 518, 1853, 2869, 3838, 4459, 5377, 6575, 7983, 518, 1756, 2359, 4096, 5007, 6175, 6607, 7262, 256, 1218, 2869, 3955, 5164, 5223, 6738, 7929, 731, 1933, 2752, 4092, 4513, 6221, 7129, 7726, 692, 1781, 3137, 3986, 4511, 5251, 7174, 7992, 692, 1356, 2296, 3356, 4743, 5854, 6976, 7298, 504, 1400, 2296, 3159, 4896, 5719, 7059, 8163, 887, 1503, 2330, 4128, 4912, 5788, 7233, 7896, 1047, 2009, 3040, 3787, 4688, 5216, 6781, 7591, 304, 1682, 3144, 3987, 4467, 5890, 6308, 7732, 887, 1141, 2869, 3983, 4665, 5868, 6614, 8163, 887, 1407, 2678, 3233, 4839, 5558, 6855, 7535, 887, 2008, 3033, 3424, 4983, 5463, 6719, 7711, 895, 1299, 3033, 3582, 4601, 5749, 6300, 8073, 936, 1171, 3033, 3623, 4882, 5653, 6684, 8213, 104, 1494, 2706, 3723, 4743, 6128, 6840, 8034, 1025, 1116, 2293, 4145, 4340, 5491, 7232, 7559, 610, 2059, 2401, 3964, 4483, 5610, 7222, 7480, 645, 1919, 2340, 4067, 4753, 5425, 6883, 7772, 484, 1304, 2858, 3662, 5095, 5700, 6749, 8130, 488, 2041, 2991, 3990, 4366, 5901, 7132, 8147, 288, 1881, 3110, 4114, 5038, 6182, 7239, 8237, 153, 1998, 3144, 4124, 4387, 5730, 6604, 8085, 568, 1905, 2528, 3771, 4801, 5285, 6883, 8075, 256, 1141, 2636, 3682, 5088, 5296, 6740, 7466, 308, 1974, 2309, 3475, 5125, 5963, 7152, 8145, 211, 2073, 2455, 3358, 5096, 5883, 6883, 8066, 211, 2033, 2667, 3305, 5095, 5745, 6849, 8198, 887, 1460, 2380, 3511, 4565, 5918, 7143, 7494, 299, 1510, 2481, 4043, 4364, 5768, 6409, 8173, 988, 1494, 2464, 3812, 4459, 5765, 7117, 7858, 884, 1732, 2692, 4025, 4259, 5585, 6458, 8227, 881, 1732, 2891, 3741, 4927, 6117, 7224, 7652, 778, 1732, 2974, 4155, 4678, 5276, 6344, 7919, 443, 1550, 2544, 3751, 4321, 5538, 6680, 7985, 299, 1550, 2271, 3980, 4920, 6125, 6431, 7962, 150, 1388, 2327, 3619, 4321, 6135, 6225, 7777, 150, 1388, 2327, 3619, 4321, 6135, 6225, 7777, 150, 1286, 2847, 4011, 4555, 5641, 6484, 8161, 288, 2001, 2327, 3917, 4687, 5333, 6535, 7492, 899, 1797, 2941, 3602, 4993, 5436, 6809, 7641, 617, 1561, 2941, 3533, 5006, 5611, 7129, 7481, 568, 2118, 2701, 4124, 5109, 5890, 6820, 7563, 334, 1424, 2488, 3238, 4993, 5490, 7103, 7920, 699, 1510, 3004, 3777, 4411, 5792, 6734, 7698, 699, 1286, 2340, 4125, 4411, 5372, 7090, 7683, 195, 1556, 2595, 3470, 4904, 5223, 6623, 7838, 654, 1286, 2904, 4174, 4329, 5981, 7182, 7563, 654, 1201, 2729, 4111, 4873, 5548, 6840, 7706, 240, 1488, 2473, 4166, 5179, 6157, 6612, 7913, 789, 1756, 2717, 4168, 5167, 5276, 7152, 7831, 915, 2078, 2806, 4174, 4918, 6186, 6752, 8147, 419, 2017, 2164, 4174, 4611, 5963, 7232, 7716, 789, 1756, 2340, 4026, 5104, 6129, 6515, 7723, 195, 1974, 2941, 3410, 4589, 5890, 7201, 7655, 629, 1695, 2370, 3334, 4923, 5478, 7232, 8047, 937, 1561, 2958, 3859, 5142, 6147, 6544, 7361, 1098, 1995, 2867, 3845, 4582, 5921, 6383, 7753, 856, 1644, 2693, 3649, 4789, 5385, 6984, 7964, 335, 1596, 3150, 3649, 5125, 5383, 7167, 7838, 779, 1386, 3108, 4068, 4287, 5995, 7069, 7717, 1099, 1637, 2792, 3226, 4374, 5705, 6677, 7720, 914, 2046, 2980, 4174, 5159, 5883, 7201, 8185, 914, 1668, 3135, 4071, 4287, 5241, 6752, 7766, 510, 2046, 2880, 4068, 4287, 5241, 7201, 8260, 579, 1910, 2803, 4145, 4597, 6156, 6688, 7913, 967, 1705, 2340, 4011, 5166, 5436, 6889, 8080, 948, 2046, 3092, 3354, 4379, 5797, 6403, 7428, 1067, 1503, 3145, 3937, 5072, 6014, 7142, 8069, 1071, 1212, 2130, 3954, 4715, 5915, 6419, 7607, 715, 2125, 2340, 3819, 4792, 6110, 6614, 8130, 518, 1773, 3147, 4011, 4470, 5830, 6579, 7799, 195, 2030, 3075, 3994, 5145, 5514, 6762, 7918, 901, 1562, 3147, 3932, 5088, 5943, 7075, 8164, 518, 1363, 2473, 3901, 4859, 6123, 6584, 8260, 901, 2068, 2803, 3394, 4522, 6163, 7230, 8260, 878, 1930, 2542, 3680, 4931, 5624, 6291, 7675, 153, 1752, 2340, 3352, 4859, 5624, 6884, 7698, 537, 1318, 2895, 3692, 4930, 6096, 6254, 7563, 360, 1598, 2137, 3316, 4314, 6190, 6626, 7255, 793, 1352, 2642, 3700, 4761, 5829, 6580, 7438, 895, 1183, 3102, 4160, 4472, 5373, 6853, 7403, 360, 1503, 2728, 4099, 4427, 5533, 7232, 7438, 660, 1537, 3040, 3289, 4421, 5291, 6690, 8124, 1040, 1252, 2751, 3745, 4314, 6218, 7030, 7551, 480, 2036, 2796, 4095, 4735, 6125, 6721, 7405, 936, 1361, 2487, 3643, 4755, 5341, 7066, 8092, 247, 1732, 2346, 3558, 4604, 6135, 7198, 7577, 668, 1397, 2903, 3623, 4845, 5695, 7181, 7941, 807, 1118, 2316, 3967, 4831, 5972, 6735, 7904, 391, 1164, 2506, 3383, 5097, 5585, 6967, 8061, 308, 2097, 2792, 3994, 4896, 5695, 6774, 8066, 804, 1218, 2258, 3980, 4998, 6146, 6302, 8041, 308, 1218, 2792, 4115, 4912, 5219, 7230, 7764, 571, 2107, 2880, 3886, 5183, 6131, 6515, 7256, 575, 1238, 2886, 3937, 4940, 5667, 6903, 7704, 390, 2090, 2960, 3866, 4551, 6129, 7098, 7876, 1090, 1146, 2582, 3776, 4622, 5630, 6302, 7717, 650, 1360, 2242, 3183, 4509, 6181, 7104, 7557, 104, 1978, 2440, 3982, 4387, 6128, 6987, 8139, 993, 1797, 2440, 3709, 4426, 5360, 6426, 7887, 535, 1164, 2625, 3706, 4788, 6135, 6803, 8012, 986, 1388, 2751, 3530, 5151, 5898, 6720, 7568, 807, 1296, 2675, 4007, 5183, 5223, 6668, 7693, 936, 1255, 3149, 3968, 5109, 5341, 7183, 7744, 487, 1915, 2258, 3994, 5151, 5224, 6704, 7535, 610, 1397, 2710, 3456, 4789, 5719, 7012, 7384, 1037, 1992, 2874, 3975, 4797, 5378, 6776, 7776, 617, 1763, 3026, 4135, 5007, 6103, 6579, 7918, 475, 1753, 2729, 3671, 4398, 5219, 7100, 7949, 256, 1930, 2473, 3825, 4398, 5705, 7232, 7976, 440, 1700, 2991, 3359, 4916, 5586, 7024, 7717, 256, 1452, 2803, 4171, 4716, 5548, 6719, 7252, 256, 2030, 2340, 3752, 5038, 6211, 7082, 7291, 617, 2088, 2473, 4068, 5038, 5981, 6677, 7715, 355, 1750, 2970, 3783, 4419, 5219, 6840, 8132, 424, 1318, 2792, 3516, 5183, 5677, 6935, 7773, 731, 1931, 2144, 3176, 4424, 5719, 7026, 8061, 271, 1608, 3060, 3836, 5141, 5222, 6529, 7649, 1067, 1231, 2360, 3304, 4253, 5396, 7234, 8242, 778, 1770, 2332, 3776, 5141, 5410, 7014, 7898, 104, 1404, 2878, 4096, 4494, 5288, 6734, 8231, 113, 1145, 2129, 3580, 5073, 6183, 6719, 7583, 1057, 1299, 2905, 3517, 4872, 5961, 6308, 7467, 1057, 1299, 2740, 3434, 4364, 5765, 7242, 8070, 1057, 1507, 2741, 3936, 5049, 6204, 6828, 7822, 1057, 1507, 2358, 3802, 4435, 5398, 6386, 7676, 610, 1510, 2348, 3231, 5127, 5543, 6715, 8227, 1099, 1963, 2991, 4166, 4622, 5694, 6589, 7913, 818, 2046, 2925, 3710, 4867, 5901, 6809, 8066, 419, 1623, 2669, 3231, 4437, 6211, 6895, 8262, 935, 1874, 2970, 3516, 5088, 5767, 6786, 8261, 935, 2000, 2164, 3914, 4630, 5694, 7006, 7806, 518, 1961, 2560, 3488, 4541, 5223, 7069, 7873, 824, 1345, 2970, 3866, 4888, 5223, 6757, 7487, 195, 1768, 2137, 3832, 5134, 6117, 6607, 7714, 118, 1684, 2953, 3487, 4985, 5666, 6740, 8164, 552, 1345, 2839, 3720, 4423, 5219, 6589, 7427, 160, 2065, 2771, 4093, 4890, 5834, 6677, 8044, 249, 2115, 2800, 3941, 4193, 5745, 6859, 8269, 535, 1403, 3137, 4016, 4364, 5724, 6547, 7544, 293, 1704, 2203, 3481, 4943, 5972, 6998, 7360, 247, 1604, 3091, 3289, 4176, 5470, 6663, 7397, 293, 1455, 2137, 4008, 4364, 6180, 6801, 7633, 895, 1252, 2861, 3356, 4676, 5644, 6819, 7367, 1067, 1828, 3091, 3525, 4509, 5291, 7188, 8140, 1084, 2067, 2318, 3601, 4289, 5512, 7088, 8176, 113, 1886, 2720, 3941, 5011, 5461, 7079, 7800, 862, 1184, 2396, 3326, 4556, 5810, 6692, 7654, 938, 1375, 2438, 3383, 4321, 5347, 7175, 7954, 620, 2100, 2593, 3411, 4881, 5341, 6830, 8240, 725, 1526, 2156, 4133, 5054, 5482, 7017, 7971, 620, 1732, 3018, 3225, 5134, 5756, 6546, 7488, 981, 1275, 2775, 3652, 4205, 5627, 6743, 7980, 981, 1791, 2238, 3358, 4404, 5641, 6883, 7828, 981, 1876, 2734, 3771, 4945, 5584, 6873, 7548, 940, 1369, 2905, 3889, 5085, 5981, 6732, 7500, 970, 1141, 2783, 3873, 4277, 5925, 7140, 7764, 770, 1363, 2440, 3679, 4829, 5880, 7150, 7962, 211, 1876, 2900, 3932, 4641, 5641, 7220, 7476, 663, 2091, 2440, 3908, 4985, 6073, 6762, 8238, 831, 1747, 2440, 4115, 5115, 5500, 7207, 8267, 678, 1141, 2924, 4055, 4343, 6000, 6260, 7555, 709, 1562, 3098, 3271, 4622, 5796, 6786, 8260, 1099, 1844, 2932, 4068, 5058, 6085, 7084, 7485, 1097, 2000, 2880, 3886, 5038, 5883, 6709, 7723, 142, 2017, 2914, 3825, 4704, 6211, 6794, 8147, 488, 2017, 3117, 3367, 5058, 6139, 7239, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 76, 11, 78, 5, 16, 51, 77, 73, 53, 77, 16, 52, 40, 66, 44, 55, 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, 6186, 7124, 7766, 488, 1648, 2806, 3893, 4366, 6139, 7077, 8223, 915, 1851, 3144, 4170, 5076, 5241, 7006, 7782, 767, 1388, 2860, 3578, 4934, 5678, 7084, 7906, 660, 1509, 3101, 3570, 5022, 5510, 6224, 8234, 1052, 1507, 2847, 3943, 4318, 6031, 7064, 8244, 927, 1554, 2788, 4092, 4669, 5671, 7039, 7438, 576, 1171, 3067, 3908, 4576, 6166, 6369, 7259, 654, 1462, 2591, 3608, 5079, 5963, 6890, 8263, 576, 1597, 2534, 3671, 5079, 5825, 6751, 7451, 576, 2069, 2221, 3973, 4923, 5506, 7025, 8151, 115, 1924, 3091, 3484, 4981, 5205, 6603, 7262, 725, 1171, 2313, 3251, 5086, 5953, 6476, 7604, 692, 1790, 2566, 4043, 5043, 5703, 6403, 8061, 582, 1504, 2327, 4128, 4320, 5543, 7212, 7429, 684, 1167, 2432, 3838, 4555, 5527, 7098, 8061, 1099, 1705, 3135, 4166, 4387, 5901, 7069, 7806, 915, 1218, 2947, 3990, 5104, 5241, 6840, 7717, 555, 1998, 3128, 4145, 5058, 5241, 7069, 7421, 956, 2068, 2838, 3516, 4583, 6139, 7058, 8147, 334, 2030, 2644, 3424, 4321, 5643, 6251, 7773, 1020, 1817, 2740, 3795, 5048, 5944, 6959, 7917, 228, 1633, 2904, 3518, 5134, 5579, 6604, 8179, 228, 1623, 2970, 4026, 4836, 6103, 7120, 8179, 183, 1623, 2941, 3518, 4344, 5413, 7103, 8187, 183, 1876, 2669, 3879, 4549, 5413, 6752, 7494, 356, 2127, 2996, 3796, 4549, 5456, 7218, 8061, 408, 1827, 3020, 3815, 4673, 5924, 7246, 8099, 138, 1935, 2448, 3695, 5157, 5590, 6876, 7790, 722, 2061, 2244, 3623, 4788, 5953, 6909, 7717, 1006, 1826, 2530, 4106, 4954, 5320, 6894, 8079, 149, 1826, 2503, 3271, 4621, 5944, 6611, 7862, 335, 1252, 2482, 3649, 4836, 5904, 6719, 7919, 335, 1531, 2891, 3300, 4399, 5383, 6465, 7664, 149, 1858, 2552, 4005, 4531, 5899, 6536, 7463, 391, 1831, 2256, 3298, 4536, 5835, 6528, 7843, 318, 1858, 2402, 3390, 5182, 5784, 7112, 7889, 103, 1655, 2353, 3962, 4641, 5970, 6528, 7574, 643, 1561, 3001, 4103, 4374, 5765, 6470, 8075, 504, 1782, 2436, 3600, 5127, 6055, 6736, 7775, 1029, 1806, 2436, 3922, 4666, 6148, 6775, 7957, 784, 1806, 3033, 3812, 4374, 5512, 7094, 7492, 299, 1806, 3005, 4145, 5122, 6002, 6995, 7831, 150, 2053, 3026, 3298, 4321, 5417, 7219, 8195, 1084, 1299, 2923, 3865, 4804, 6163, 7119, 7448, 91, 1808, 2846, 3245, 4943, 5276, 6822, 7976, 952, 1770, 3130, 3251, 4688, 5293, 6888, 7706, 1011, 1199, 2536, 3983, 4784, 5648, 6415, 8266, 1091, 1350, 3130, 4036, 4504, 5269, 7232, 8117, 424, 1912, 2974, 3356, 5017, 6002, 7173, 7878, 1011, 1828, 3039, 3231, 4427, 5341, 7023, 7586, 487, 1557, 2470, 4015, 4457, 5471, 6354, 7602, 234, 1108, 3116, 3616, 4811, 5347, 6434, 7585, 397, 1489, 2566, 3421, 4767, 5447, 7181, 8058, 952, 1422, 2232, 3751, 5005, 5740, 6286, 8117, 487, 1561, 2345, 3603, 4429, 5609, 7041, 7487, 545, 1118, 2345, 3785, 5024, 5810, 6614, 7758, 103, 1178, 2751, 4147, 4213, 6168, 6985, 7955, 103, 1942, 2133, 3578, 4670, 5995, 6898, 8140, 103, 1562, 3116, 3366, 5184, 5898, 6899, 7954, 308, 1280, 3144, 3394, 5120, 5935, 6918, 8209, 914, 1963, 2960, 3361, 5135, 6205, 6694, 7870, 356, 1519, 3053, 3394, 4782, 5781, 6604, 8066, 103, 1460, 2692, 3767, 4437, 6147, 6418, 7313, 115, 1244, 2701, 3394, 4329, 5815, 6883, 7563, 902, 1640, 2751, 3770, 4776, 5615, 6986, 7791, 326, 1942, 2481, 3332, 4635, 5347, 6719, 7606, 326, 2102, 2348, 3764, 4364, 6221, 6828, 7965, 465, 1550, 2564, 3802, 4435, 5441, 6726, 7498, 986, 1692, 3091, 3802, 4364, 5519, 6905, 7784, 150, 1674, 3091, 3802, 4807, 6005, 6494, 8061, 504, 1238, 2429, 3271, 4448, 6187, 6657, 7437, 1029, 1858, 2292, 3246, 4670, 5465, 7167, 7785, 643, 1721, 2750, 3692, 4672, 5641, 6638, 7607, 887, 1993, 2552, 3697, 4458, 5713, 6269, 8257, 1056, 1747, 2391, 3732, 4822, 5950, 7006, 8107, 915, 1963, 3021, 4085, 5080, 5937, 6710, 8164, 818, 1620, 3022, 4114, 5080, 5586, 7084, 7949, 1099, 1945, 2996, 3886, 4912, 6103, 6709, 8179, 1099, 1648, 3110, 3710, 4622, 6211, 7201, 7485, 859, 1750, 2858, 3983, 4681, 5677, 7095, 7485, 617, 1695, 3021, 3909, 4980, 5981, 7162, 8061, 617, 1695, 2740, 3819, 5104, 5521, 7152, 8267, 617, 1147, 2138, 3891, 4622, 5296, 6809, 7303, 617, 2127, 2858, 4068, 4580, 5901, 6840, 7826, 105, 1147, 2542, 3391, 5190, 5296, 6840, 7906, 105, 1684, 2791, 3914, 4681, 5296, 6840, 8130, 105, 1147, 2858, 3528, 5079, 5241, 6648, 7715, 859, 2127, 2858, 4068, 5135, 5413, 6717, 8261, 4, 2 ]

[ 1, 16, 5, 30, 45, 64, 66, 16, 54, 64, 5, 17, 75, 5, 41, 69, 52, 5, 66, 76, 33, 52, 75, 5, 43, 17, 54, 30, 63, 16, 30, 5, 52, 48, 42, 78, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 5241, 6752, 8267, 201, 1528, 2914, 3803, 4704, 6139, 6752, 7766, 488, 2017, 2914, 3893, 4624, 5241, 7124, 7766, 475, 2073, 2473, 3893, 4387, 5241, 6771, 8076, 223, 1490, 2825, 3512, 5083, 6006, 6382, 8128, 630, 1496, 2678, 3551, 5149, 6109, 6738, 7842, 410, 1510, 2502, 3530, 4364, 5280, 6798, 7457, 288, 1676, 2750, 4082, 4521, 6063, 6996, 7255, 1056, 1873, 2991, 3390, 5088, 6095, 7168, 8181, 308, 1791, 2834, 3803, 4551, 5216, 7132, 7965, 510, 1945, 2960, 3710, 5075, 6085, 6809, 7949, 914, 1939, 2880, 3982, 5106, 5385, 6988, 8147, 865, 1905, 2802, 3277, 4638, 5796, 6357, 7349, 115, 1807, 2487, 3996, 4278, 5826, 6612, 7429, 386, 1231, 2332, 3543, 5069, 6179, 7117, 8023, 1023, 1286, 2724, 4038, 4592, 5220, 6828, 8222, 465, 1108, 3033, 3237, 4541, 5496, 6723, 7904, 613, 1628, 2349, 3973, 4884, 5365, 6529, 7475, 317, 1439, 2988, 3440, 4529, 5719, 7129, 7898, 654, 1471, 2349, 4139, 4344, 5266, 7218, 7534, 654, 1525, 2775, 3550, 4836, 5594, 7183, 7960, 195, 1332, 2852, 4111, 4875, 5573, 6486, 7473, 654, 2111, 2468, 3753, 5138, 6085, 6466, 7717, 240, 1304, 2287, 3891, 4870, 5678, 6810, 8130, 789, 2017, 2669, 3803, 5088, 5493, 7152, 8130, 789, 1750, 2729, 4113, 4888, 5677, 6752, 7716, 915, 1961, 2914, 3914, 4704, 5514, 7239, 7303, 419, 2017, 2806, 4174, 5080, 6182, 7207, 7806, 195, 1424, 2886, 3995, 5179, 5438, 6604, 8227, 518, 2061, 2262, 4113, 4536, 5527, 6430, 7549, 1047, 2118, 2874, 3670, 5115, 6063, 6720, 7563, 840, 1755, 2312, 3900, 4629, 5436, 7028, 8126, 668, 1496, 2836, 4025, 4727, 5693, 6760, 7873, 1024, 1938, 2559, 3711, 4211, 6016, 6612, 7904, 678, 1171, 2710, 3838, 4789, 5872, 6923, 7983, 767, 1562, 2436, 3530, 4542, 6074, 6901, 8107, 731, 1271, 2900, 4153, 4894, 5901, 6338, 7727, 304, 2068, 2724, 3680, 4796, 5788, 6702, 7474, 211, 1705, 2241, 3680, 4980, 5641, 7058, 7627, 789, 1467, 2163, 4011, 4942, 6146, 6365, 8107, 127, 2127, 3046, 3983, 5169, 5677, 7069, 8076, 127, 2013, 2659, 3550, 5079, 5959, 7047, 7941, 518, 2127, 2163, 3803, 5079, 5413, 6579, 7664, 228, 1865, 2554, 3376, 4513, 5677, 6256, 7906, 475, 1851, 2554, 4145, 4862, 6149, 6612, 7563, 955, 1981, 2729, 3795, 4329, 5678, 6901, 7677, 840, 1865, 2940, 3191, 4226, 5354, 7148, 7293, 360, 1828, 2165, 3926, 4535, 5396, 7021, 8129, 271, 1913, 2247, 3793, 4906, 5437, 6308, 8062, 390, 2095, 2944, 3681, 5027, 5433, 7168, 8222, 475, 1747, 3007, 4113, 4720, 6103, 6604, 8195, 256, 2060, 2818, 3771, 4592, 5300, 6820, 7557, 789, 2030, 3133, 3440, 4888, 5534, 6840, 7716, 899, 1851, 2709, 3364, 4918, 5705, 7149, 7876, 440, 1198, 2468, 3420, 4413, 5908, 6256, 8262, 789, 2030, 2469, 4153, 4459, 5630, 7019, 7865, 256, 2106, 2473, 3407, 4459, 6175, 7129, 8080, 256, 1851, 2792, 3407, 5159, 6103, 6474, 7303, 878, 2030, 2268, 3648, 4630, 5419, 6752, 8261, 256, 1597, 2659, 3937, 4918, 6205, 7221, 8076, 256, 2000, 2473, 4151, 4622, 5438, 7058, 8061, 256, 2097, 2340, 4113, 4762, 5296, 6671, 7723, 878, 2088, 2473, 4145, 4387, 5963, 7168, 8164, 537, 1919, 2803, 4174, 4439, 5630, 6349, 7256, 864, 1200, 3003, 3794, 4865, 5746, 6851, 7892, 864, 1402, 2888, 4133, 4501, 6086, 6670, 7592, 864, 1812, 2705, 4137, 4552, 5313, 6974, 8256, 1029, 1469, 2710, 3221, 5107, 6174, 6225, 7912, 504, 1912, 2312, 3514, 4471, 5223, 6678, 8052, 150, 1822, 2347, 3345, 4952, 5313, 7198, 8098, 1029, 1167, 2721, 3514, 4570, 5787, 7070, 7898, 150, 1318, 2239, 3685, 4931, 5360, 6403, 7263, 643, 1982, 2493, 4128, 4834, 5850, 6941, 7344, 150, 1938, 2690, 3557, 4773, 5414, 6962, 7721, 643, 1326, 3085, 3906, 4781, 5550, 6402, 7355, 504, 1543, 2347, 3630, 4982, 5550, 6518, 7312, 643, 2050, 2663, 4105, 5195, 5894, 7063, 8126, 504, 1440, 2785, 3830, 4848, 5622, 6698, 7753, 150, 1543, 2553, 3176, 4788, 6144, 6850, 7441, 643, 1812, 2786, 3452, 4534, 6144, 7052, 8164, 1029, 1120, 2786, 3880, 4315, 5783, 6714, 7767, 504, 1641, 2888, 3979, 4791, 6146, 6694, 7680, 150, 1641, 2721, 3875, 4510, 6092, 6470, 7291, 678, 1777, 3003, 4105, 5129, 5684, 7152, 7264, 859, 1675, 2794, 3987, 5145, 5754, 6720, 7440, 186, 2041, 3110, 4152, 4787, 6103, 7239, 7720, 956, 2068, 2838, 3226, 5080, 5630, 6953, 8147, 186, 2017, 2960, 3866, 4704, 6211, 7084, 7766, 878, 1490, 2139, 3188, 4855, 5580, 7168, 7442, 225, 2060, 2636, 3231, 5110, 5759, 6708, 7795, 757, 2111, 2667, 3180, 4836, 5341, 6895, 7631, 91, 2088, 2242, 3250, 5053, 5289, 6784, 7303, 132, 1386, 2159, 3994, 4681, 5413, 7091, 7289, 967, 2097, 2669, 3783, 4287, 5438, 6584, 7563, 555, 1869, 2936, 4145, 4890, 5797, 6709, 7421, 1033, 1773, 3128, 3990, 5159, 5305, 6564, 7876, 840, 2019, 2661, 3667, 4454, 5473, 6265, 7857, 1067, 1213, 2261, 4139, 4965, 6135, 6391, 8248, 1067, 1762, 2309, 3283, 5100, 6031, 6485, 8201, 344, 1470, 2492, 3543, 4218, 5523, 6674, 7273, 344, 1507, 2282, 4137, 5001, 6145, 6417, 7561, 344, 2002, 2282, 3421, 5001, 5344, 6315, 7844, 344, 2061, 2343, 3543, 4691, 6218, 6825, 7453, 271, 1299, 2953, 3279, 4776, 5803, 6292, 7790, 895, 1826, 2455, 3766, 4799, 5756, 6343, 7959, 150, 1975, 2530, 3727, 4279, 5442, 6403, 7693, 1025, 1624, 2868, 3681, 4264, 6087, 6422, 7786, 643, 1523, 2963, 4015, 4766, 5849, 6885, 8250, 150, 1913, 2847, 3977, 4966, 6026, 6840, 7337, 1025, 2028, 2766, 4128, 4728, 5439, 6840, 8085, 678, 1849, 2690, 3637, 4196, 6111, 6659, 7293, 235, 1562, 2924, 3614, 4295, 5797, 6506, 8061, 678, 1318, 2941, 4086, 4954, 5968, 6840, 7557, 610, 1499, 2254, 3516, 5008, 6085, 6840, 7988, 804, 2001, 3008, 4114, 5060, 6025, 6668, 8185, 940, 1797, 2803, 4105, 4782, 5761, 7132, 7715, 390, 2060, 3008, 3440, 4895, 5219, 6953, 7563, 440, 1676, 3133, 3648, 4381, 5303, 6663, 8085, 217, 1752, 2838, 4128, 4334, 6220, 6760, 8171, 1047, 1540, 2860, 3256, 4273, 6205, 6614, 8066, 473, 1747, 2137, 3366, 5012, 6201, 6874, 7470, 891, 1199, 2971, 3332, 5030, 6018, 6945, 7508, 1049, 2092, 2137, 4151, 4842, 5440, 6811, 7751, 459, 1157, 2695, 3394, 5041, 5874, 6748, 7546, 803, 1212, 2869, 4112, 5111, 5277, 6593, 7904, 247, 1503, 2623, 3422, 4364, 5481, 6832, 7853, 993, 1403, 2869, 3652, 4337, 5676, 6354, 7640, 1029, 1496, 2203, 3582, 4273, 5510, 6730, 7570, 1033, 1777, 2530, 3771, 4592, 5784, 7053, 7298, 887, 1227, 2167, 3669, 4536, 5408, 7218, 8126, 150, 1227, 2429, 3897, 4287, 5960, 6709, 8016, 610, 1797, 2293, 3979, 4536, 5911, 6719, 7806, 288, 1791, 2429, 3511, 4700, 6137, 6786, 8179, 935, 1675, 3135, 3932, 5061, 6085, 7023, 8076, 473, 1601, 2838, 3951, 4379, 5210, 6410, 7689, 955, 2084, 2492, 3550, 5075, 5515, 6604, 7386, 887, 1566, 3026, 3709, 5157, 5485, 7242, 8066, 504, 1758, 2492, 3584, 4964, 5765, 6615, 7949, 386, 1510, 2167, 3983, 4800, 6203, 6248, 7971, 1029, 1510, 2562, 4145, 4318, 6171, 7048, 7838, 1056, 2111, 3110, 3536, 4834, 5730, 6894, 8126, 512, 1721, 2960, 4085, 4822, 6129, 6996, 8179, 512, 2046, 2838, 3710, 5104, 6211, 7006, 8195, 308, 2000, 2838, 3540, 5104, 5661, 6967, 7949, 308, 1467, 3008, 3188, 5166, 5832, 6979, 8195, 756, 1930, 2709, 3793, 5125, 5746, 7047, 7255, 448, 1700, 3003, 4137, 4641, 5296, 6715, 8209, 887, 1596, 2678, 3601, 5128, 6092, 6562, 7887, 1090, 1682, 2716, 3822, 4318, 5384, 6949, 7869, 304, 1828, 2736, 3865, 4969, 6119, 7133, 7966, 715, 1791, 2542, 3749, 5036, 6211, 7079, 8041, 1040, 1832, 2271, 4154, 5150, 6016, 6903, 7652, 986, 1306, 2327, 3960, 4321, 5765, 6908, 7816, 462, 1633, 3118, 3741, 4734, 5266, 7114, 8158, 807, 1808, 2751, 3430, 4734, 6217, 7094, 7868, 545, 1942, 2975, 3245, 4589, 6221, 7150, 7532, 487, 1915, 2923, 3417, 4215, 5681, 6740, 8050, 986, 1924, 2346, 3936, 4627, 5514, 6903, 8080, 807, 1633, 3116, 3704, 4777, 6107, 7099, 7673, 582, 1816, 2355, 3236, 4321, 5350, 6357, 7873, 424, 1958, 2791, 3917, 4321, 5480, 6655, 8086, 1025, 1399, 3033, 3695, 5040, 5776, 7229, 8078, 424, 1289, 2946, 3472, 4209, 5280, 6657, 8209, 390, 1942, 2941, 3749, 5160, 5500, 7046, 8213, 308, 1175, 2946, 3363, 4555, 5543, 6302, 7557, 211, 1858, 2895, 4096, 4225, 5968, 6614, 7270, 304, 2079, 2946, 3945, 4555, 5832, 7239, 7717, 390, 1791, 3021, 3560, 4555, 5385, 6281, 7838, 955, 1620, 2946, 3962, 4586, 5590, 6601, 8261, 211, 1685, 2582, 3754, 5083, 5844, 6809, 7664, 211, 1876, 2895, 4011, 4985, 5968, 6575, 7631, 304, 1876, 3033, 3838, 4606, 5216, 6982, 8245, 103, 1350, 3064, 3838, 5138, 5828, 6988, 7876, 610, 1570, 3112, 3692, 4993, 5694, 7127, 8066, 613, 1570, 2717, 4026, 4270, 5565, 6382, 7429, 568, 1756, 2980, 3870, 4201, 5325, 6777, 8055, 518, 1862, 2751, 3602, 4344, 5347, 7019, 7386, 654, 1623, 2729, 4125, 4386, 6057, 6829, 8209, 518, 1645, 2487, 3363, 4412, 5438, 6478, 7948, 518, 1623, 2341, 3827, 4985, 5521, 6668, 7537, 518, 1971, 2944, 3518, 4863, 6085, 6612, 7838, 256, 1756, 2341, 4145, 4329, 5689, 6657, 7749, 552, 2118, 2880, 3391, 4780, 5962, 7120, 8266, 552, 1286, 2970, 3550, 4890, 5534, 6515, 7949, 488, 2017, 2806, 3277, 5138, 6186, 7120, 7782, 488, 1622, 3065, 3825, 4624, 6139, 7077, 8147, 488, 1622, 3065, 3825, 4624, 6139, 7226, 8147, 915, 1684, 2164, 3825, 5157, 5635, 6752, 8080, 555, 1648, 3021, 3891, 4512, 6186, 7077, 8080, 859, 1974, 2833, 4006, 5190, 5514, 7152, 7563, 859, 2002, 2970, 3518, 5160, 5385, 6338, 8261, 105, 2106, 2833, 3518, 4790, 5550, 7069, 7865, 859, 1684, 2775, 4171, 4615, 5514, 7091, 7563, 4, 2 ]

[ 1, 67, 63, 73, 5, 52, 20, 64, 16, 78, 5, 44, 54, 5, 28, 45, 78, 54, 16, 64, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6081, 7226, 8196, 419, 1851, 2164, 3893, 4798, 5241, 6604, 7723, 789, 2127, 2806, 4071, 4624, 5219, 6671, 7723, 256, 2065, 3095, 3891, 4387, 5661, 7239, 7715, 475, 1648, 3026, 3352, 4287, 5514, 6677, 7664, 579, 1509, 3063, 3776, 4918, 5360, 6901, 7664, 1071, 1206, 2920, 3537, 4191, 5574, 7181, 8129, 319, 1854, 2638, 4025, 5020, 5904, 6915, 7899, 319, 1865, 2400, 3822, 5122, 5701, 7229, 8205, 319, 1754, 2737, 4025, 4774, 5515, 6710, 7691, 299, 1858, 2491, 3964, 4595, 5672, 6919, 7791, 443, 1660, 2994, 4025, 4332, 5763, 6796, 7999, 993, 1924, 2741, 3314, 5003, 6007, 6402, 7260, 1025, 1682, 2741, 3909, 4762, 6149, 6348, 7453, 1090, 1981, 2946, 4168, 4334, 5523, 6791, 7492, 1090, 1623, 2923, 3748, 4334, 5461, 6224, 8089, 1005, 1199, 2924, 3836, 4942, 5228, 7207, 7954, 104, 1141, 2743, 3421, 5085, 5918, 7085, 7594, 1102, 1199, 2980, 4067, 4282, 6181, 6348, 7799, 160, 1826, 3061, 4152, 4273, 5836, 7072, 7578, 424, 1572, 2389, 4044, 4595, 5678, 7019, 7542, 887, 1633, 3092, 3258, 4506, 5870, 6723, 7397, 913, 2079, 3149, 3478, 4369, 6044, 7085, 7622, 986, 1924, 2296, 3309, 4725, 5407, 7090, 7594, 887, 1974, 2798, 3183, 4507, 5344, 6247, 8036, 104, 1974, 2348, 3408, 4321, 5306, 7158, 7311, 850, 1974, 2751, 3398, 5191, 6009, 6401, 7908, 665, 1129, 2576, 4101, 4409, 5772, 7047, 8087, 137, 1469, 2707, 3375, 5022, 6002, 7067, 7861, 137, 2043, 3011, 4007, 4636, 5403, 6405, 7260, 774, 1926, 2455, 3643, 4221, 6002, 6364, 8264, 501, 1916, 2712, 3847, 4332, 6002, 6419, 7853, 501, 1916, 2712, 3513, 4823, 6002, 6419, 8184, 494, 1674, 2756, 3923, 4794, 5431, 7142, 8229, 873, 1679, 2751, 4100, 4595, 5663, 6642, 7643, 1030, 1348, 2732, 3906, 4324, 6002, 6438, 7913, 575, 1303, 2137, 3527, 4251, 6104, 7186, 8031, 759, 1303, 2636, 3460, 4932, 5976, 6828, 7482, 223, 1376, 2347, 3254, 4924, 5980, 7209, 7962, 160, 1865, 3034, 3880, 4690, 5362, 7114, 8205, 390, 1913, 2803, 4114, 4282, 5673, 6542, 7807, 183, 1386, 2274, 3642, 4762, 5527, 7010, 7831, 874, 1596, 2346, 3493, 5184, 5386, 7000, 7419, 568, 1183, 3028, 3770, 4576, 5385, 6900, 7870, 225, 1386, 2746, 3394, 4863, 6101, 6581, 8195, 568, 2065, 2791, 3225, 4612, 6145, 6434, 8144, 518, 1529, 2775, 3555, 4727, 5514, 7112, 8236, 256, 1304, 2188, 3595, 4387, 5650, 7019, 7303, 789, 1468, 3133, 4083, 4556, 5581, 7087, 7965, 617, 1826, 2806, 3873, 4862, 5811, 7010, 7716, 512, 2111, 3110, 3900, 4980, 6137, 7188, 8227, 335, 2114, 2183, 3933, 4269, 5615, 6917, 7437, 1035, 1421, 2346, 3539, 4238, 5978, 6654, 7675, 1029, 1472, 2697, 3337, 4478, 5880, 6603, 7349, 643, 1472, 2542, 3977, 4934, 5422, 6743, 7599, 643, 1653, 2902, 4072, 4978, 6119, 6739, 7474, 643, 1472, 2931, 3642, 4962, 5656, 7017, 7365, 575, 1472, 2973, 3300, 4934, 6110, 6560, 7852, 575, 1472, 2346, 3962, 4716, 5838, 7012, 7643, 1025, 1707, 2188, 3261, 4734, 6145, 6909, 7480, 643, 1472, 2542, 4037, 4717, 5581, 6938, 7918, 643, 1472, 2542, 3300, 4934, 6141, 7133, 7750, 613, 1323, 2610, 3171, 5092, 5904, 6991, 7627, 955, 1684, 2554, 3819, 4576, 5514, 6775, 8139, 955, 2118, 2771, 3521, 5106, 6145, 6648, 7303, 317, 1421, 2814, 3188, 4918, 5749, 6830, 7400, 225, 1218, 2677, 3225, 4923, 6001, 6603, 7810, 654, 2013, 2468, 4125, 5135, 5792, 7162, 8185, 568, 1771, 2151, 3472, 4215, 5988, 6262, 7948, 256, 1945, 3135, 3671, 5167, 5385, 7219, 7865, 955, 1961, 2833, 3376, 5165, 6191, 6302, 7852, 752, 1998, 2839, 4110, 5138, 5761, 6901, 8171, 986, 1209, 2514, 3376, 4359, 5810, 6307, 7547, 986, 1995, 2797, 3380, 4539, 5954, 6563, 7865, 545, 1458, 2579, 3615, 4701, 5257, 6625, 7868, 545, 1326, 2453, 3802, 5117, 5708, 6224, 7771, 223, 1606, 2994, 3421, 4553, 5223, 7014, 7706, 304, 1825, 2315, 3446, 4998, 5943, 6979, 7255, 610, 1717, 3144, 3732, 4861, 5942, 7207, 7303, 304, 2001, 2783, 3771, 5115, 6195, 6402, 8260, 610, 1717, 3144, 3201, 4387, 5687, 7125, 8085, 610, 1717, 3144, 3771, 4318, 6187, 7239, 7948, 610, 1717, 3144, 4027, 4980, 5832, 7207, 8179, 390, 1455, 3064, 4011, 5080, 6131, 7095, 7846, 779, 2079, 3007, 4174, 5183, 6085, 7239, 8066, 308, 1562, 2895, 4018, 5159, 5901, 6709, 7806, 804, 1791, 3098, 3983, 5106, 6103, 6613, 7965, 857, 1989, 2775, 3233, 4881, 5884, 7041, 8258, 1035, 2024, 2238, 3832, 5026, 5765, 7198, 7906, 545, 2036, 2346, 3733, 4716, 5697, 7041, 8213, 839, 1541, 2751, 3358, 4709, 6147, 7043, 7883, 806, 2095, 2562, 3968, 4800, 5541, 7094, 8024, 913, 1653, 2638, 3968, 5079, 5918, 7173, 7750, 756, 1323, 2593, 3208, 4801, 5472, 7069, 8085, 513, 1943, 2946, 3987, 4870, 5631, 6348, 7697, 317, 1668, 2720, 3575, 5188, 6142, 6443, 7501, 518, 1572, 3013, 3723, 4923, 5587, 6435, 8210, 518, 1550, 2869, 3900, 4611, 5723, 6884, 7476, 256, 1591, 2398, 3949, 5135, 5678, 6265, 8261, 1037, 1587, 3135, 3595, 4822, 6085, 7160, 7887, 401, 1587, 2321, 4096, 5139, 5677, 6338, 8267, 211, 1410, 2915, 3900, 4877, 5584, 7140, 7643, 663, 1994, 2807, 3410, 4576, 5525, 6815, 7957, 970, 1510, 2166, 4114, 4533, 5493, 7090, 7846, 103, 1363, 2944, 4074, 5193, 5515, 6255, 8114, 390, 1455, 2346, 3407, 5000, 5752, 6879, 7664, 970, 1826, 2918, 3788, 4896, 5615, 7157, 8073, 756, 1323, 2346, 3540, 5106, 5901, 7069, 7941, 715, 1120, 2346, 3952, 4986, 6146, 6715, 7605, 715, 1363, 2151, 3425, 4985, 5865, 6840, 7918, 317, 1540, 2151, 3536, 5135, 5734, 6410, 8036, 518, 1756, 2554, 3671, 5061, 5695, 7218, 7865, 518, 2127, 2869, 4113, 4764, 5438, 6486, 7383, 654, 1597, 3040, 3487, 4916, 5942, 6286, 7865, 654, 2013, 2473, 3723, 5079, 5787, 6477, 7914, 518, 2127, 2683, 3332, 4374, 5218, 6504, 7677, 240, 1606, 2791, 4166, 4862, 5548, 6623, 7838, 228, 2106, 2453, 3420, 4486, 5844, 7082, 7643, 228, 2106, 3040, 3413, 4638, 5514, 7207, 7664, 228, 1345, 2221, 3376, 4622, 5385, 6529, 8093, 256, 2111, 3048, 3391, 4622, 6062, 6810, 7570, 256, 2118, 2918, 3595, 4512, 5534, 6677, 8130, 419, 2111, 2839, 3376, 4622, 5534, 6338, 7865, 555, 1468, 2880, 3470, 5159, 5413, 6988, 8261, 915, 1756, 2806, 3825, 5159, 6149, 6996, 8147, 915, 1756, 2806, 3825, 4624, 6149, 6996, 8196, 915, 1756, 2806, 4125, 4549, 5493, 6794, 8196, 488, 1528, 3065, 3595, 4624, 6139, 6996, 8196, 488, 1528, 2164, 3893, 4624, 6186, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 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, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 488, 1648, 2164, 3893, 4798, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3893, 4704, 6186, 7124, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 4, 2 ]

[ 1, 64, 39, 5, 5, 5, 43, 48, 5, 44, 51, 64, 62, 52, 57, 30, 16, 30, 5, 5, 3, 228, 2002, 3084, 3798, 5138, 6112, 7198, 8066, 654, 1789, 3084, 3798, 5024, 5573, 6308, 7498, 654, 1826, 2468, 4121, 4764, 5767, 6895, 8262, 240, 2002, 3048, 4121, 4780, 5310, 6515, 7476, 654, 1750, 2833, 3857, 5079, 5241, 7181, 7744, 518, 1452, 2346, 3827, 4700, 5923, 7079, 7264, 518, 1756, 2468, 4057, 4555, 5515, 6715, 7842, 256, 1468, 2341, 3420, 5075, 5413, 6338, 7948, 645, 2127, 3098, 4150, 5167, 5797, 6584, 7660, 936, 1875, 2724, 3628, 4572, 5950, 7043, 7521, 349, 1719, 2245, 4138, 5004, 6180, 7191, 8258, 546, 1680, 2705, 4058, 5057, 5957, 6656, 7534, 546, 2071, 2441, 3387, 4571, 5957, 6345, 7665, 730, 1185, 2300, 3433, 4711, 5657, 6547, 8130, 468, 1387, 2386, 3651, 4352, 5947, 6885, 7894, 810, 1185, 3063, 4132, 5180, 5492, 6354, 7946, 487, 1279, 2937, 3599, 4462, 5814, 6348, 7956, 314, 1442, 2426, 3246, 5114, 5594, 6906, 7838, 103, 1393, 3126, 3215, 4327, 5887, 6569, 7684, 103, 1581, 2659, 3814, 4276, 5308, 6419, 8041, 103, 1897, 3037, 3710, 5183, 5756, 6466, 8117, 980, 1842, 2805, 3162, 4553, 5719, 6292, 7828, 103, 2095, 2805, 3196, 4351, 5416, 6259, 7367, 103, 1913, 2692, 4101, 4682, 5532, 6918, 8138, 427, 1942, 3150, 3515, 5072, 5677, 7132, 7664, 510, 1998, 2941, 4114, 4795, 5935, 6646, 8209, 684, 1707, 2946, 3732, 4287, 6149, 6840, 7476, 804, 1791, 2925, 4115, 4622, 5827, 6889, 8179, 510, 1847, 3043, 4011, 4555, 5641, 7120, 7631, 859, 1750, 2941, 4145, 5104, 6208, 7207, 7949, 859, 1750, 2941, 4145, 4681, 5705, 7077, 8267, 859, 2127, 2946, 3838, 4762, 5296, 7120, 7732, 555, 1876, 2941, 4145, 4681, 5298, 6579, 8083, 555, 1147, 3064, 3873, 4555, 5678, 6996, 8147, 555, 1147, 3064, 4145, 4624, 6205, 6996, 8179, 488, 1622, 2914, 3827, 4624, 6139, 7226, 7766, 142, 2017, 2806, 3825, 4624, 6139, 6589, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 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, 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, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 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, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 488, 2111, 2914, 4071, 4798, 6081, 6794, 8196, 956, 1648, 3117, 3893, 4630, 6129, 6972, 8185, 859, 1218, 3128, 3825, 5129, 5661, 6972, 8179, 216, 1467, 2794, 3949, 4630, 5586, 7006, 8066, 716, 1948, 2242, 4026, 4350, 6001, 6651, 8188, 986, 1388, 2877, 4007, 4350, 5982, 6267, 7931, 807, 1919, 2232, 4007, 5122, 5423, 6838, 7740, 1025, 1118, 3005, 4168, 4576, 5341, 6719, 8187, 986, 1581, 3029, 4015, 4736, 5366, 6528, 7846, 1024, 1116, 2601, 3870, 4970, 5810, 7043, 7298, 1024, 1570, 2751, 3190, 4790, 5398, 7126, 8132, 386, 1397, 2346, 4149, 4493, 6201, 6409, 7263, 575, 1164, 2346, 4149, 4949, 5801, 7224, 8103, 1081, 1397, 2791, 3454, 4711, 6117, 6254, 7919, 643, 1570, 2895, 3391, 4949, 5931, 6622, 7771, 308, 1847, 2729, 3391, 5115, 6086, 7152, 7720, 956, 1330, 2801, 3886, 4589, 5436, 6584, 7838, 915, 1992, 3021, 3866, 4583, 5340, 6979, 8076, 859, 1147, 2818, 3891, 5083, 5534, 6443, 8147, 617, 1961, 2991, 3188, 4762, 5519, 6752, 7838, 874, 2034, 2709, 4096, 5079, 5962, 7006, 8132, 195, 1249, 2172, 3796, 4775, 5924, 7152, 7468, 195, 1575, 2487, 3798, 5159, 5550, 7152, 7913, 518, 2111, 3064, 3798, 5168, 5241, 7207, 8132, 543, 2065, 2473, 3518, 5159, 5844, 6752, 7303, 818, 2097, 2321, 3891, 4611, 5968, 6901, 7865, 860, 2017, 2806, 3803, 4704, 6186, 6996, 8147, 201, 2017, 2806, 4071, 4704, 6186, 6794, 8196, 488, 2017, 2806, 3893, 4704, 6139, 6794, 8196, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8196, 1091, 1876, 2996, 4011, 4762, 6175, 7132, 7895, 967, 1623, 2728, 4168, 5135, 6166, 6251, 7902, 401, 1945, 2970, 4168, 4912, 5840, 6632, 7876, 1071, 1477, 2750, 3826, 5126, 5968, 6272, 7547, 319, 1871, 2810, 3751, 4321, 5447, 6950, 7467, 547, 1388, 2521, 3751, 4533, 5500, 6574, 8013, 913, 1821, 2979, 3559, 4952, 5651, 7002, 8022, 970, 1653, 2766, 3358, 4214, 5530, 6507, 8216, 938, 1108, 2564, 3964, 4883, 5797, 6789, 7545, 1011, 1317, 2582, 3820, 4555, 6117, 6234, 8057, 831, 1566, 2533, 3391, 5040, 5960, 6614, 7571, 424, 1562, 3026, 3967, 4626, 5325, 6291, 7800, 663, 1918, 2250, 3212, 4802, 6175, 6840, 7398, 1047, 1363, 2315, 3807, 4181, 5219, 6876, 8261, 1056, 2111, 2936, 3857, 5061, 5241, 6810, 7262, 356, 1455, 2838, 3864, 4782, 5658, 6625, 7732, 103, 1116, 2895, 3970, 4325, 6119, 6830, 8188, 970, 1821, 2918, 3819, 4882, 5695, 6898, 7602, 504, 1732, 3106, 3770, 4609, 5856, 6674, 7558, 913, 1889, 2346, 3973, 4966, 5956, 6991, 7255, 397, 1455, 2718, 3443, 4978, 5980, 6614, 7524, 1101, 1695, 2149, 3236, 4330, 5523, 6749, 8117, 951, 1623, 2556, 3904, 4387, 5614, 6536, 7908, 684, 2097, 3006, 3201, 4387, 5573, 6988, 7597, 571, 1915, 3098, 3649, 5058, 5968, 6642, 7485, 818, 1804, 3064, 3886, 4287, 5340, 7058, 8237, 818, 2068, 3007, 4085, 5038, 5241, 7006, 7806, 427, 1750, 3007, 3827, 5038, 5661, 6566, 7557, 488, 1847, 2925, 4174, 4624, 6186, 6979, 8223, 488, 2017, 2914, 3893, 5038, 5241, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 7766, 488, 1528, 3065, 3827, 4624, 5635, 6794, 8147, 555, 1147, 2164, 4166, 4870, 5635, 6677, 7664, 555, 1147, 2858, 3911, 4798, 5385, 7129, 7485, 555, 1750, 2833, 3391, 4681, 5901, 6677, 8080, 555, 1468, 3021, 3803, 4890, 5241, 6677, 7664, 555, 1684, 2858, 4166, 4615, 5935, 6996, 7677, 488, 1528, 3065, 3391, 4890, 5901, 7124, 8126, 488, 1622, 2833, 4071, 4624, 6081, 6589, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 1528, 2164, 3891, 4624, 6186, 7226, 8223, 488, 1648, 2806, 3891, 4624, 6186, 7226, 8080, 4, 2 ]

[ 1, 31, 33, 54, 5, 5, 5, 76, 45, 31, 5, 31, 16, 5, 64, 39, 53, 5, 64, 51, 45, 52, 5, 16, 54, 30, 5, 51, 33, 63, 5, 5, 5, 43, 48, 5, 44, 42, 78, 14, 53, 16, 54, 30, 5, 33, 75, 35, 47, 5, 17, 31, 35, 5, 30, 44, 66, 39, 52, 5, 5, 3, 915, 1851, 2466, 4113, 4398, 6175, 6604, 8147, 915, 1851, 2941, 4145, 4704, 6149, 7077, 8147, 1097, 2041, 2941, 4174, 4822, 6211, 6972, 7717, 955, 1255, 2936, 4005, 4870, 6129, 6786, 7563, 211, 1620, 3135, 4078, 4592, 5802, 6515, 7641, 410, 1759, 2398, 3941, 4732, 5415, 7234, 7675, 448, 1108, 2429, 3424, 4709, 5280, 6838, 7936, 918, 1171, 2361, 3635, 4649, 5644, 7215, 7912, 896, 1424, 2171, 4003, 4539, 5745, 7081, 7367, 1101, 2048, 2487, 3533, 4364, 5925, 6409, 8128, 993, 1597, 2997, 3751, 4459, 5454, 6830, 7892, 643, 1695, 2973, 3639, 5091, 5696, 6439, 7997, 150, 1388, 2147, 3764, 4832, 6153, 7192, 7793, 504, 2009, 3097, 3943, 4321, 5662, 6648, 7670, 1025, 1167, 2429, 3517, 5187, 6025, 6941, 8061, 678, 1717, 2710, 3692, 4778, 5796, 7222, 7858, 955, 1302, 2429, 3710, 4379, 5908, 7018, 7677, 678, 1227, 2678, 4093, 4912, 5204, 6980, 7677, 304, 1356, 2503, 3803, 4966, 5396, 6736, 8267, 678, 2033, 3061, 3928, 4834, 6222, 6734, 7717, 955, 1562, 2926, 4093, 4966, 5678, 7010, 7827, 401, 2068, 3033, 3271, 4573, 5968, 6584, 8107, 1081, 1797, 2944, 3540, 5061, 6123, 7160, 8179, 1025, 2088, 2965, 3990, 5104, 6007, 7217, 7398, 643, 1370, 2747, 3962, 5085, 5221, 6286, 7881, 1008, 1682, 2536, 3999, 4651, 6204, 6599, 8213, 271, 1299, 2132, 3536, 4539, 5792, 6484, 8150, 510, 1945, 2895, 3671, 5073, 5534, 6809, 8179, 308, 2079, 2838, 3886, 4366, 6085, 6988, 8066, 1099, 1620, 2943, 4068, 5058, 5749, 7201, 8083, 804, 1945, 2895, 4166, 4287, 5832, 7168, 7723, 959, 2067, 2582, 4114, 4912, 5493, 6938, 7992, 613, 1596, 2553, 3891, 4923, 5902, 6316, 8098, 613, 1296, 2788, 3303, 4502, 5684, 6934, 7769, 459, 1507, 3033, 3596, 4669, 5787, 6358, 7538, 1011, 1266, 2335, 3370, 4571, 5440, 6923, 8071, 568, 1608, 2598, 3596, 4549, 6166, 6900, 7618, 699, 1597, 2880, 3795, 5129, 5218, 6613, 7906, 654, 1826, 2468, 4113, 4384, 6122, 6757, 8085, 240, 1237, 2469, 4113, 4536, 5218, 6688, 7715, 518, 2061, 2669, 3803, 4181, 6191, 7160, 7555, 240, 2127, 2554, 4071, 5096, 5705, 6715, 7707, 518, 1524, 2359, 3931, 4855, 5368, 6958, 7865, 127, 2078, 2554, 3555, 4916, 5767, 6772, 8047, 256, 1923, 2359, 4096, 5007, 5385, 6338, 7476, 105, 1961, 2792, 3645, 4387, 5901, 6772, 8070, 160, 1248, 2833, 4125, 5139, 5906, 7218, 8061, 189, 1349, 2139, 3644, 4575, 5828, 6444, 7558, 702, 1732, 2279, 3558, 4321, 5521, 7073, 7275, 459, 1831, 2480, 4007, 4694, 5743, 7142, 7823, 487, 2008, 2474, 3679, 4809, 5263, 6872, 7501, 545, 1357, 2345, 3405, 5020, 5810, 6647, 7987, 391, 1121, 2748, 3741, 5114, 5445, 6814, 7480, 752, 1944, 2440, 3986, 5026, 6010, 6789, 7421, 826, 1399, 2610, 3916, 4764, 5204, 6663, 7652, 831, 1886, 2783, 3892, 4952, 5641, 7157, 7720, 1025, 1350, 2661, 4027, 4454, 6181, 7244, 7939, 778, 1755, 2429, 4011, 4861, 6222, 7025, 8240, 401, 1306, 2924, 3937, 4670, 5968, 7146, 7717, 150, 1820, 2868, 4145, 4845, 6051, 6852, 8126, 610, 1306, 3098, 3540, 4861, 5953, 7207, 7717, 1056, 1675, 2991, 3440, 5159, 5832, 6752, 8260, 568, 1826, 2920, 3785, 5054, 5456, 7096, 7538, 225, 2111, 2221, 3967, 5054, 5962, 7114, 7612, 654, 2002, 2181, 3376, 5151, 5765, 6701, 7420, 225, 2111, 3048, 4125, 4201, 5514, 6256, 7908, 654, 2111, 2554, 3914, 5104, 5580, 6466, 7494, 654, 2111, 2554, 3515, 5079, 5219, 7012, 8130, 654, 2030, 2718, 3891, 5083, 5840, 7103, 8130, 240, 2002, 2473, 3595, 4513, 5413, 6604, 8081, 228, 1684, 2669, 3394, 4859, 5413, 7160, 8236, 617, 1750, 2614, 3595, 4398, 5767, 7232, 7706, 488, 1622, 2806, 3825, 4704, 5795, 6979, 7677, 419, 1851, 2729, 3825, 4555, 5493, 6988, 8223, 419, 2017, 2806, 3825, 5138, 5241, 6840, 7715, 915, 1528, 3065, 3893, 4555, 5241, 6612, 7949, 757, 1198, 2655, 3949, 4945, 6000, 6840, 7568, 789, 1876, 2941, 3776, 5120, 5837, 6668, 7563, 708, 1388, 2754, 3358, 5115, 5610, 6398, 8034, 459, 1948, 2941, 3957, 4384, 6002, 6313, 7885, 616, 1758, 2329, 3286, 4459, 5776, 6947, 7959, 881, 1397, 2850, 3307, 4743, 5353, 6859, 7904, 299, 1570, 2481, 3751, 4364, 5827, 7222, 7291, 988, 1494, 2987, 3755, 4539, 5574, 6760, 7831, 1038, 2055, 2973, 3329, 4598, 6201, 6838, 7728, 876, 1489, 2867, 3745, 4321, 5839, 6985, 7362, 902, 1299, 2137, 4079, 4434, 6016, 7004, 7986, 113, 1828, 3040, 3864, 4778, 5642, 6335, 7696, 913, 1740, 2474, 3276, 4604, 6145, 6730, 7582, 1011, 1183, 2783, 3233, 4684, 5725, 6984, 8111, 1090, 1972, 3040, 3233, 4646, 6131, 6626, 8150, 390, 1791, 2173, 3695, 5135, 5410, 7043, 7765, 288, 1675, 3101, 3932, 5073, 5493, 6262, 7485, 401, 1924, 2291, 3188, 4332, 6205, 6352, 7677, 401, 1924, 2730, 3990, 5166, 5968, 6566, 7806, 610, 1499, 2222, 3977, 4536, 5210, 7163, 8031, 401, 2046, 2895, 4108, 4859, 6103, 6338, 8224, 1062, 1919, 2846, 3962, 4887, 5305, 6951, 7513, 113, 1596, 2986, 4087, 4574, 5792, 7075, 7508, 881, 1435, 2871, 3936, 4409, 5787, 6670, 7690, 895, 2105, 2271, 3852, 4440, 6145, 6370, 8171, 271, 1347, 2422, 3486, 4800, 5492, 6592, 7858, 1025, 1116, 2951, 3882, 4467, 5325, 6512, 8049, 424, 1227, 2728, 4145, 5007, 6103, 6403, 7831, 887, 1227, 2732, 3886, 5125, 5883, 6393, 7557, 887, 1227, 2728, 4018, 5129, 6146, 7019, 7454, 1081, 1755, 3098, 3271, 4589, 5678, 7207, 8209, 390, 2001, 2783, 3201, 4822, 6175, 6771, 7421, 804, 1791, 2960, 3866, 5038, 6195, 6786, 7557, 859, 1945, 2944, 3550, 5061, 5963, 7084, 7939, 555, 1791, 2991, 3516, 5061, 6175, 6709, 7876, 1099, 2000, 2838, 4006, 5165, 6205, 7239, 7570, 120, 1669, 2484, 3904, 4285, 6210, 7096, 7877, 183, 1847, 2391, 3374, 4486, 6215, 6486, 7707, 356, 1905, 2554, 3188, 4225, 5608, 6787, 7577, 859, 1519, 2947, 3873, 4512, 6182, 7129, 7949, 160, 1112, 2585, 3487, 4629, 6148, 7100, 8209, 115, 1561, 2593, 3964, 5040, 5202, 6485, 8098, 993, 1116, 2688, 3943, 4736, 5935, 6224, 8022, 1040, 1758, 2327, 3741, 4650, 6187, 7104, 8070, 536, 1640, 2346, 3560, 4804, 5379, 7116, 8051, 880, 1942, 2692, 4030, 4716, 6113, 6306, 7904, 668, 1397, 2355, 3695, 5040, 5976, 7137, 7291, 995, 1494, 2601, 3853, 4539, 5971, 6547, 7718, 902, 1411, 2751, 3225, 4708, 6044, 6728, 7578, 880, 1942, 2298, 3764, 4779, 5381, 6614, 8060, 862, 1112, 2490, 3341, 4934, 5828, 6606, 7926, 489, 1411, 3037, 3741, 4678, 5827, 6671, 7469, 952, 1586, 2533, 3756, 4690, 5381, 6251, 7707, 692, 1570, 2992, 3812, 4415, 5871, 6949, 7849, 770, 1586, 2751, 3560, 4527, 6163, 6906, 7580, 265, 1586, 2740, 3487, 5197, 5574, 6614, 7919, 981, 1327, 2378, 3717, 4589, 5835, 6670, 7483, 371, 1586, 2436, 3434, 4339, 6083, 6710, 8030, 692, 1108, 2378, 3728, 4959, 6068, 7241, 7727, 815, 1108, 2915, 3515, 4705, 5965, 6651, 7311, 730, 1758, 2196, 4126, 5123, 6119, 6828, 7721, 692, 1494, 2329, 3520, 4795, 5367, 6670, 7836, 319, 1361, 2378, 4092, 4810, 5297, 6404, 7728, 840, 1884, 2329, 3806, 4338, 5370, 6881, 7722, 536, 1757, 2378, 3884, 4881, 5509, 6995, 7817, 1062, 1309, 2579, 3900, 4441, 5441, 6861, 7349, 211, 1510, 2391, 3281, 4809, 6167, 6584, 8190, 804, 1510, 2321, 3807, 4340, 5621, 6588, 7720, 1097, 1998, 2730, 4145, 4181, 5811, 6515, 7658, 935, 1620, 2781, 3671, 4918, 5811, 7132, 8076, 488, 2017, 3117, 4152, 5038, 5901, 7132, 8076, 818, 2017, 2164, 3893, 4822, 6139, 7226, 8223, 818, 1622, 2164, 4018, 5104, 6129, 6972, 7766, 555, 1147, 3064, 4018, 4622, 6211, 6996, 8223, 555, 1147, 2970, 3893, 4985, 5635, 6752, 7766, 555, 1147, 2970, 3391, 4622, 5892, 7006, 8126, 915, 1147, 2806, 3825, 4512, 5981, 6996, 7766, 488, 1622, 3021, 3893, 4624, 5892, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7120, 7766, 488, 1876, 2914, 3893, 4798, 6137, 7124, 7766, 142, 1528, 2806, 3825, 4704, 6081, 7124, 8223, 488, 2017, 2164, 3893, 4624, 6139, 7124, 7766, 859, 2127, 3064, 3873, 4512, 5219, 7207, 7723, 256, 1289, 2466, 4113, 5088, 5413, 6900, 7570, 356, 2127, 2669, 3949, 4622, 5534, 7126, 7745, 715, 1206, 3060, 3710, 4191, 5795, 6612, 8086, 115, 1227, 2794, 3279, 5001, 5480, 6251, 8077, 459, 1808, 2669, 3939, 4321, 5652, 7140, 7402, 752, 1753, 2601, 4007, 4802, 5745, 6878, 8189, 825, 1553, 3035, 3192, 4435, 5441, 6686, 7317, 299, 1112, 2567, 3695, 4364, 6034, 6543, 7888, 988, 1494, 2543, 3570, 4539, 6128, 6749, 8095, 839, 1732, 2688, 3234, 4417, 5706, 7238, 7868, 1040, 1227, 2751, 4079, 4717, 6213, 6466, 7568, 1090, 1942, 2403, 3273, 4687, 5925, 6439, 7764, 1056, 1397, 2439, 3695, 4687, 5943, 6291, 7631, 804, 1218, 2783, 4096, 4782, 5493, 7047, 8260, 308, 1147, 2582, 3226, 4622, 5767, 7084, 8260, 1037, 1508, 2960, 4166, 4287, 5730, 6830, 8209, 980, 1620, 2429, 3681, 5061, 6137, 6302, 7706, 495, 1198, 2464, 4155, 4337, 6199, 6270, 7481, 568, 1675, 3035, 4096, 5179, 5918, 6876, 8190, 195, 1885, 2775, 3918, 4433, 5827, 6412, 8237, 1014, 1510, 2401, 3566, 4411, 5215, 6895, 8211, 1014, 1885, 2271, 3664, 4412, 5458, 6979, 8164, 518, 1675, 2783, 3234, 4289, 5657, 6938, 7303, 708, 1695, 2492, 3588, 4651, 5432, 6569, 8243, 650, 1989, 2839, 4078, 5075, 5534, 6584, 8257, 535, 1421, 2800, 3845, 4637, 5523, 6442, 7971, 584, 1397, 2455, 3261, 4952, 5858, 6442, 8051, 1041, 1349, 2411, 3485, 4539, 5780, 7102, 8180, 988, 1349, 2260, 3380, 4711, 5621, 6839, 7291, 302, 1494, 3116, 3306, 4992, 5320, 6500, 7862, 536, 1785, 3051, 3309, 4924, 5902, 6327, 7975, 895, 1111, 2464, 3222, 4959, 5273, 6730, 7344, 895, 1301, 2414, 4103, 4539, 5697, 6483, 7597, 1090, 1770, 2429, 3983, 4801, 6007, 6702, 8153, 1025, 1494, 2750, 3671, 4307, 5573, 7012, 7481, 826, 1858, 2401, 3421, 5164, 6029, 7140, 7992, 778, 2053, 2429, 3870, 5039, 6002, 6995, 7941, 404, 1646, 2741, 4026, 4573, 5653, 7031, 7859, 536, 1918, 2312, 3611, 5124, 5948, 7212, 8040, 850, 1821, 2358, 4005, 4285, 5341, 6337, 7970, 826, 1633, 2924, 3161, 4641, 5280, 6884, 7991, 150, 1633, 3101, 4082, 4365, 5456, 6830, 8041, 887, 1978, 2724, 3233, 4458, 5677, 6736, 8107, 1090, 1330, 3033, 4168, 4287, 5219, 6709, 7679, 405, 1964, 2803, 3990, 4870, 5761, 6899, 7476, 1101, 1349, 2638, 4043, 4186, 5521, 6723, 8096, 495, 2081, 2332, 3795, 4841, 6037, 6667, 7427, 1051, 1871, 2941, 3455, 5117, 5539, 6694, 8267, 818, 1856, 2803, 3440, 4877, 5296, 6972, 7918, 914, 2000, 2880, 3710, 4681, 6137, 6338, 8126, 356, 1707, 2718, 3521, 4287, 5863, 7086, 7664, 987, 2034, 2482, 4096, 4942, 5298, 6963, 7404, 620, 2034, 3088, 3943, 4469, 6118, 6732, 7575, 918, 1685, 2951, 3390, 4266, 5950, 7140, 7587, 918, 1561, 2365, 3221, 4539, 5393, 7075, 7823, 918, 1411, 3085, 3417, 4811, 6215, 6875, 7827, 271, 2099, 2870, 3500, 4700, 6101, 6235, 7492, 761, 1548, 2271, 3579, 5011, 6118, 6376, 7742, 386, 2065, 2439, 3426, 4654, 5535, 6308, 7516, 779, 1791, 3150, 3680, 4805, 6175, 6991, 8179, 304, 1750, 2803, 3782, 4622, 5705, 6630, 7717, 211, 1280, 2991, 4145, 4630, 5684, 7201, 8209, 684, 1238, 3110, 3732, 5159, 5378, 6584, 7481, 211, 1452, 3007, 3909, 5183, 6058, 6860, 7806, 308, 1523, 2473, 3917, 5038, 6123, 7006, 7764, 308, 1523, 2803, 3917, 4398, 5493, 6752, 7715, 955, 2060, 2573, 3994, 4925, 5706, 6774, 7421, 512, 1675, 2542, 3364, 4822, 5802, 7201, 7764, 440, 1227, 2381, 3364, 4215, 6182, 7119, 7677, 440, 1206, 2468, 3987, 5012, 5500, 7004, 7442, 1059, 1797, 2936, 4064, 4604, 5579, 6338, 7815, 725, 1797, 2258, 3314, 4604, 5643, 7163, 7583, 504, 1407, 3026, 3224, 4285, 5417, 6605, 7537, 386, 1758, 2958, 3511, 4700, 6078, 7130, 8118, 271, 1586, 2456, 3593, 5106, 6156, 6818, 7701, 487, 1302, 2210, 3963, 4586, 5216, 6736, 8118, 103, 2081, 2375, 3649, 4906, 6050, 6903, 7279, 103, 2081, 3020, 4043, 4691, 6149, 6917, 7873, 103, 1621, 2429, 3226, 5134, 6075, 6224, 7394, 1024, 1905, 2638, 3550, 4399, 5565, 6566, 7664, 386, 1732, 2480, 3550, 5142, 5790, 6301, 8259, 981, 1494, 3070, 3751, 4981, 6146, 7018, 7778, 730, 1759, 2271, 3592, 4496, 6118, 7085, 8081, 1066, 1309, 2719, 3641, 4364, 5912, 6686, 8120, 192, 1171, 3146, 4008, 5198, 5313, 6706, 7630, 895, 1679, 3130, 3585, 4506, 6062, 6984, 7725, 895, 1735, 2227, 3542, 4766, 5886, 6580, 7654, 150, 1301, 3010, 3356, 5031, 6185, 7240, 7862, 610, 1407, 2677, 3732, 5138, 5431, 6637, 8252, 684, 1924, 2838, 3440, 4583, 6160, 6408, 7591, 756, 2045, 2598, 3904, 5166, 6007, 6918, 8150, 756, 2030, 2868, 4130, 4549, 5844, 6789, 7660, 825, 1736, 2398, 3912, 4727, 5572, 7001, 7811, 386, 1596, 2439, 3746, 4224, 5658, 6765, 7741, 271, 2011, 2671, 3356, 4887, 5757, 6333, 8130, 249, 1496, 2726, 3796, 4421, 5682, 6798, 7605, 575, 2118, 2553, 3708, 4825, 6026, 6948, 7496, 308, 1794, 3008, 4168, 5166, 6175, 7120, 7939, 1099, 1467, 2924, 4011, 5166, 5968, 6668, 7876, 804, 1660, 3110, 3945, 4536, 6195, 7006, 7948, 1097, 1620, 3043, 4108, 4782, 5294, 7077, 7421, 684, 1869, 3007, 4114, 5038, 5635, 7084, 7421, 804, 1998, 2960, 3710, 5080, 5832, 6786, 7723, 421, 1910, 2520, 3879, 4435, 5576, 6740, 8036, 582, 1227, 2971, 3205, 4882, 6154, 6443, 8215, 545, 1494, 2311, 3635, 5001, 5297, 6592, 7367, 807, 1335, 3080, 4137, 5005, 5810, 6905, 8050, 807, 2033, 2655, 4120, 5188, 5889, 6315, 7496, 807, 1935, 2678, 3601, 5122, 5810, 7197, 8012, 231, 1350, 2156, 4154, 4911, 5648, 6438, 7675, 424, 1706, 2401, 3648, 5018, 5704, 6470, 8049, 356, 1399, 2542, 3941, 4622, 5883, 6965, 8078, 510, 1945, 3135, 3536, 4918, 6129, 6443, 8179, 1099, 1844, 2729, 3516, 4366, 5436, 7207, 8267, 914, 1791, 3008, 4145, 5058, 6051, 6972, 8237, 818, 1623, 3043, 3982, 5061, 6205, 6996, 8132, 475, 1218, 2991, 4026, 5080, 5752, 7239, 8006, 276, 1133, 2729, 3879, 4772, 5844, 6604, 8046, 225, 1147, 2669, 3966, 5120, 5892, 7149, 7717, 105, 1623, 2315, 3879, 4877, 5220, 6749, 7846, 356, 1523, 2582, 3827, 4870, 6146, 6338, 7732, 650, 1311, 2951, 3857, 4878, 5978, 6249, 8206, 448, 1834, 3038, 3792, 4825, 6086, 6631, 8258, 807, 1458, 3116, 3417, 5148, 5971, 6235, 8254, 807, 1640, 2587, 3485, 4852, 5576, 6571, 8117, 620, 1489, 2751, 3265, 5138, 6187, 6414, 8204, 952, 1369, 2273, 4089, 5001, 5650, 7192, 7549, 981, 1397, 2847, 4130, 4474, 5574, 6409, 7869, 668, 1706, 2392, 3812, 5045, 6170, 6474, 8074, 995, 1459, 2751, 4028, 4269, 5552, 6747, 7263, 487, 1324, 2987, 3935, 5067, 5498, 7047, 7946, 995, 1882, 2156, 3485, 4736, 5706, 6242, 7660, 815, 1282, 2942, 3904, 4594, 5824, 7094, 7438, 981, 1845, 2346, 3344, 4385, 6118, 6732, 8000, 265, 2024, 2156, 3493, 4804, 5843, 6865, 7660, 770, 1139, 2923, 3262, 4279, 6146, 6774, 7612, 235, 1742, 2868, 3568, 4364, 5447, 6497, 7465, 371, 2125, 2941, 3937, 4545, 5506, 6348, 7574, 235, 1157, 2944, 3842, 4737, 5557, 6646, 8245, 961, 1516, 2865, 4047, 4459, 5810, 7227, 7260, 678, 1294, 2695, 3566, 4877, 5200, 6951, 8184, 940, 2050, 2669, 4009, 5164, 5641, 6591, 7812, 427, 1986, 2261, 4044, 4315, 5388, 6978, 8107, 1097, 1467, 3092, 3710, 5060, 5630, 7003, 7563, 818, 1945, 3117, 4085, 5058, 6195, 6972, 7641, 488, 1528, 2746, 3893, 5080, 6139, 6972, 7631, 488, 2017, 2914, 3188, 5165, 6139, 7077, 7949, 488, 1622, 2914, 3893, 5038, 6139, 6794, 8147, 818, 2017, 2164, 3990, 4624, 5635, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 16, 54, 30, 5, 62, 63, 16, 41, 33, 64, 66, 5, 43, 44, 53, 64, 33, 52, 41, 5, 63, 33, 30, 47, 5, 66, 73, 5, 28, 44, 42, 45, 54, 5, 31, 16, 5, 13, 30, 75, 33, 54, 29, 35, 5, 44, 53, 48, 30, 47, 16, 66, 52, 47, 5, 5, 3, 945, 1528, 3065, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8196, 488, 1648, 3065, 3595, 4624, 6186, 6752, 8164, 555, 2111, 3065, 3595, 4387, 6081, 6604, 7715, 617, 1981, 2944, 3891, 4762, 6119, 6810, 7557, 1006, 1681, 2380, 3224, 4763, 5506, 7067, 8038, 739, 1968, 2355, 4127, 5135, 5642, 6456, 7931, 1023, 1695, 2380, 3750, 4401, 5742, 6431, 7297, 920, 1594, 2487, 3757, 4338, 5313, 7005, 7348, 737, 1302, 2316, 3845, 4495, 5370, 6315, 7977, 1101, 1782, 2951, 3277, 5073, 5314, 6474, 8048, 1033, 1812, 2563, 3193, 4470, 5202, 6545, 7274, 504, 1324, 2922, 3929, 4651, 5527, 6563, 8070, 643, 1831, 2924, 3595, 5032, 6171, 6397, 8211, 1035, 1771, 2254, 3987, 4780, 5202, 6954, 8245, 211, 1275, 2222, 4166, 5165, 5548, 7162, 8237, 1099, 1847, 2820, 4174, 4387, 6123, 6967, 7865, 984, 2068, 2838, 4166, 4287, 5586, 6254, 7717, 500, 1141, 3038, 3564, 5061, 5218, 6903, 7428, 541, 1141, 2614, 3487, 5050, 5423, 6248, 7583, 893, 1294, 2950, 4099, 5125, 5280, 6982, 7583, 917, 1306, 3054, 3679, 4857, 5352, 7246, 8120, 665, 1512, 3001, 3782, 4375, 5555, 6849, 7663, 814, 1512, 2610, 3712, 4741, 6213, 6758, 7755, 1059, 1265, 2139, 3351, 5137, 5923, 6251, 8264, 518, 1943, 2709, 3828, 4458, 5923, 6840, 7826, 901, 2098, 3145, 3392, 5075, 5573, 6277, 7761, 518, 2030, 2728, 3803, 4555, 6215, 7037, 7918, 901, 1750, 2468, 3566, 5080, 5219, 6889, 7959, 568, 1998, 2468, 4125, 4470, 5787, 7223, 7687, 1015, 2065, 2740, 3951, 4542, 5752, 6604, 7880, 335, 2065, 3049, 3746, 4330, 6128, 6382, 8170, 835, 1480, 2869, 3454, 5107, 6043, 6248, 8058, 161, 2085, 2380, 3864, 4898, 6188, 6812, 7747, 774, 1776, 2253, 3348, 4849, 5716, 6958, 7594, 653, 1476, 2761, 3372, 4712, 5257, 6795, 8012, 660, 1110, 2422, 3343, 4277, 5584, 7119, 7691, 1014, 1797, 2339, 4026, 4919, 5783, 6966, 7815, 654, 1311, 2142, 3359, 4955, 5745, 6816, 7492, 654, 2111, 2970, 3879, 5168, 5437, 7132, 8017, 654, 1804, 2156, 3879, 5168, 5873, 7024, 8061, 654, 1332, 3052, 4096, 5168, 5830, 6546, 7753, 654, 2106, 3139, 3879, 5168, 6175, 6474, 7971, 240, 1623, 2984, 3470, 5160, 5210, 6677, 7537, 789, 1756, 3147, 4113, 4888, 6110, 6786, 8179, 256, 2098, 2899, 3470, 5143, 6014, 6869, 7716, 453, 2046, 2803, 3945, 4861, 5752, 6671, 7698, 778, 1173, 2424, 3788, 4555, 6165, 6267, 8227, 653, 1758, 2179, 3998, 4800, 5379, 6809, 7809, 401, 1723, 2710, 3671, 4764, 5871, 6338, 7916, 223, 1562, 2655, 3430, 5129, 5550, 7168, 7846, 752, 1280, 2868, 3355, 4777, 5978, 6967, 7451, 955, 2001, 2661, 4011, 5061, 5534, 6430, 7570, 211, 1995, 2991, 3873, 5183, 5968, 7239, 7393, 143, 1562, 3133, 3795, 4364, 5766, 7138, 8236, 334, 1596, 3099, 3662, 5139, 5314, 6604, 7945, 225, 1756, 2833, 3227, 4423, 6154, 7246, 8130, 654, 1345, 2221, 3955, 5031, 5308, 6734, 7908, 654, 1876, 3147, 3518, 4870, 6107, 6338, 7732, 317, 1750, 2315, 4161, 4776, 5216, 7090, 7660, 304, 1373, 2838, 3993, 5145, 5210, 7157, 7677, 716, 1323, 2870, 4089, 4896, 5696, 6998, 8045, 900, 1830, 2271, 3922, 5147, 6119, 6679, 7545, 888, 1231, 2346, 3536, 4727, 6218, 6292, 7808, 803, 1507, 2495, 3661, 4239, 6180, 6710, 7318, 1035, 1299, 2163, 3736, 4755, 5373, 7154, 7873, 1035, 1840, 2348, 3840, 4318, 6116, 6654, 7583, 211, 1962, 2743, 3777, 4420, 6103, 7007, 8054, 899, 1518, 2703, 3931, 5150, 5740, 7149, 8126, 899, 1452, 2809, 4171, 4533, 6129, 6438, 7476, 256, 2041, 2534, 3364, 5088, 5761, 6338, 7771, 715, 1304, 2730, 3710, 5058, 6007, 6820, 8262, 833, 1141, 3144, 4092, 4829, 5573, 6492, 8261, 405, 1623, 3098, 3271, 4589, 5296, 6338, 7494, 308, 2046, 2582, 3916, 4489, 5677, 7132, 8260, 1037, 1587, 3064, 3866, 4822, 6205, 6979, 7641, 512, 1989, 2895, 3990, 5104, 6205, 7201, 8185, 211, 1363, 2803, 4166, 4276, 6129, 7084, 8076, 390, 1750, 3110, 4115, 4630, 5635, 6668, 8076, 211, 2046, 2912, 3540, 4630, 6211, 7132, 8076, 1037, 1981, 3043, 3488, 5083, 5535, 7069, 8076, 750, 1218, 3007, 3803, 4859, 6111, 6750, 7421, 1035, 1930, 2998, 4098, 4359, 6132, 7203, 7768, 802, 1771, 2608, 3176, 4616, 5453, 6719, 8091, 761, 1754, 2608, 3249, 4428, 5716, 6512, 7996, 803, 1141, 3142, 3679, 4530, 5528, 6331, 7930, 737, 1121, 2929, 3418, 4818, 5965, 6905, 7527, 1101, 1482, 2487, 4137, 4595, 5591, 6524, 8105, 986, 1813, 2568, 3225, 5100, 5313, 6650, 7490, 401, 2001, 2585, 3767, 5150, 5413, 6612, 7898, 356, 1548, 2890, 4068, 4522, 5516, 7237, 7697, 103, 1682, 2872, 3909, 4867, 5979, 6634, 7570, 103, 1305, 2309, 3305, 5106, 5653, 6717, 8184, 103, 1691, 2502, 3300, 5088, 5935, 6769, 8033, 103, 1178, 2852, 4162, 5138, 6101, 6369, 7542, 103, 1522, 2767, 3337, 4376, 5608, 6566, 7510, 103, 2102, 2646, 3337, 5145, 5957, 6478, 7964, 103, 1794, 2617, 3731, 4954, 5250, 7000, 7955, 955, 1876, 2598, 3710, 4622, 5935, 6657, 7563, 308, 1978, 3021, 4085, 5183, 5963, 6752, 8066, 684, 1881, 3128, 3983, 4867, 6195, 7084, 8236, 757, 1281, 2729, 4151, 4764, 5650, 6550, 8031, 857, 1468, 2232, 3253, 4780, 5963, 6702, 7576, 752, 1280, 2238, 3669, 4545, 5749, 7098, 8209, 104, 1531, 2267, 3358, 4478, 5263, 6847, 7617, 610, 1770, 3038, 4145, 5124, 5603, 6413, 8175, 512, 1620, 2860, 3671, 4583, 6085, 6515, 7720, 955, 1935, 2895, 4114, 5060, 6205, 6935, 8066, 211, 2079, 2991, 4071, 4782, 6131, 7162, 8237, 390, 1540, 2895, 3188, 5129, 6051, 6589, 7631, 390, 1750, 2975, 4166, 5165, 5630, 6688, 7876, 955, 1833, 2795, 4166, 5088, 6131, 6972, 8260, 880, 1858, 2470, 3562, 4592, 5291, 6348, 7528, 569, 1510, 3061, 3706, 4594, 5694, 7165, 8129, 806, 1586, 3101, 3298, 4335, 5802, 6412, 7402, 807, 2067, 2166, 3436, 4985, 5441, 6811, 7558, 986, 1570, 2309, 3695, 4878, 6180, 7097, 7957, 756, 1685, 2490, 3983, 4913, 5677, 6254, 8128, 804, 1675, 2729, 3873, 4912, 5901, 7207, 7660, 308, 1878, 2591, 3391, 4366, 6001, 6589, 7949, 804, 1847, 3098, 3990, 5058, 5635, 6996, 8260, 955, 1668, 2880, 3885, 4912, 6195, 6786, 8227, 886, 1817, 3112, 4033, 4387, 6216, 7002, 8267, 115, 1700, 2490, 3771, 4895, 5746, 6631, 7954, 807, 1721, 2692, 3584, 5024, 5479, 6746, 7516, 896, 1692, 2692, 4103, 4897, 5200, 6965, 7918, 781, 1550, 2327, 4147, 5075, 5929, 6224, 7270, 234, 1286, 2366, 4049, 5142, 5734, 6311, 7608, 774, 1668, 2481, 3651, 4255, 6183, 6680, 7765, 234, 1476, 2157, 3651, 5197, 5538, 6745, 7683, 620, 2118, 2171, 3394, 5183, 6004, 7181, 7488, 335, 2065, 2731, 3356, 4279, 5995, 6909, 8176, 391, 1770, 2775, 4096, 4734, 5514, 6470, 7279, 216, 1937, 3026, 3901, 5106, 5514, 7051, 8252, 335, 1141, 2772, 3227, 5044, 5616, 6645, 7587, 401, 1545, 2944, 3488, 4203, 5672, 6848, 7924, 216, 1175, 2946, 4096, 5079, 5716, 7217, 7838, 731, 2024, 2436, 3931, 4333, 5893, 6998, 7764, 788, 1971, 2940, 3796, 4629, 5935, 6592, 7863, 421, 1118, 2502, 3268, 5011, 6122, 6884, 7509, 582, 1550, 2925, 3695, 5043, 5589, 7223, 8188, 103, 1621, 3080, 4103, 4629, 5589, 6710, 8099, 545, 2127, 2271, 3582, 5098, 5660, 7043, 7535, 1059, 1244, 2282, 3337, 5115, 5954, 6449, 8036, 986, 2095, 2282, 3732, 4897, 6067, 7241, 7510, 1036, 1550, 3019, 3917, 4495, 6132, 6789, 7973, 234, 1118, 3040, 3424, 4645, 5730, 6886, 7691, 862, 1185, 2356, 3567, 5072, 5328, 6292, 7800, 862, 2047, 2731, 3847, 4701, 6118, 6886, 7524, 938, 1951, 2818, 3577, 4335, 5381, 6469, 7906, 308, 1382, 2326, 4135, 4529, 5824, 6506, 8126, 401, 1562, 2582, 3540, 4859, 5678, 6566, 7838, 959, 2001, 2520, 3994, 5145, 5276, 7230, 7497, 308, 1791, 3098, 3169, 4387, 6137, 6810, 8066, 308, 1998, 2594, 3987, 5145, 5590, 7084, 7485, 756, 1804, 3008, 4068, 4555, 5978, 6979, 8079, 572, 1851, 2260, 4055, 4859, 5837, 6938, 8213, 844, 1721, 3043, 4103, 4691, 5962, 6915, 8262, 1101, 1306, 2873, 3635, 4981, 6003, 6651, 7538, 1017, 1592, 2346, 3421, 4663, 5433, 6238, 7690, 918, 1951, 2690, 3329, 4927, 5957, 6477, 7880, 920, 1472, 2459, 3329, 4540, 5727, 7135, 7748, 487, 1708, 2830, 3179, 4661, 5446, 6290, 7868, 893, 1708, 3141, 4072, 4446, 6092, 6257, 7772, 104, 1130, 3029, 4084, 4273, 5870, 6705, 7533, 750, 2121, 2793, 3777, 4734, 6063, 7181, 7677, 1025, 1227, 3066, 4151, 4782, 5475, 6612, 7720, 1035, 1915, 3021, 3702, 5135, 5836, 7147, 7284, 752, 1700, 2440, 4011, 4780, 5815, 6872, 8018, 1090, 1399, 3092, 3307, 4615, 5590, 6589, 7899, 356, 1906, 2960, 3962, 5165, 5534, 6486, 7563, 183, 1706, 2792, 3916, 4493, 5218, 6265, 8092, 568, 1706, 2664, 3536, 4796, 5626, 6579, 7944, 118, 1706, 2128, 3359, 4586, 5582, 7162, 7563, 118, 1286, 2181, 3770, 4762, 5672, 6677, 7716, 568, 1954, 2718, 3880, 4696, 5515, 7019, 8188, 568, 1510, 2875, 3873, 4209, 5884, 6677, 8045, 757, 1858, 2886, 3550, 4443, 6160, 6348, 7549, 617, 1286, 3144, 3994, 4764, 5296, 7162, 7723, 390, 1869, 2783, 3827, 5134, 5340, 6830, 8267, 806, 1577, 2172, 4095, 4779, 5580, 7168, 7927, 806, 1586, 2589, 3182, 4421, 5923, 6614, 7379, 536, 1541, 2378, 3601, 4898, 5474, 6357, 7524, 876, 1139, 2905, 3324, 4347, 6017, 6476, 8263, 803, 1758, 2905, 3338, 4642, 5859, 6654, 7291, 862, 1149, 2660, 4008, 4495, 5468, 6890, 7602, 665, 1758, 2636, 3952, 4814, 5728, 6860, 7561, 569, 1758, 2263, 3660, 4739, 6022, 6631, 7378, 344, 1496, 2415, 3776, 4229, 5474, 7046, 7675, 876, 1354, 2905, 3454, 4661, 5739, 7169, 7955, 761, 1968, 2142, 3327, 4834, 6078, 7154, 8186, 814, 1244, 2775, 3248, 4321, 5537, 6723, 8234, 641, 1510, 2564, 3520, 4562, 5408, 7223, 8064, 804, 1675, 3104, 3374, 4565, 5835, 7084, 7631, 859, 2065, 2984, 3899, 4912, 5378, 6251, 7658, 1097, 2065, 3021, 4174, 4287, 5968, 6972, 7720, 186, 1876, 3128, 3891, 5104, 6137, 7084, 7876, 510, 2111, 2925, 4018, 4622, 6129, 6980, 8107, 859, 2111, 3095, 3645, 4630, 5550, 6338, 7641, 617, 1750, 2803, 4125, 5080, 5493, 6840, 7732, 617, 1600, 2833, 3374, 4615, 5521, 6465, 7563, 617, 2032, 2918, 3777, 4877, 5650, 7009, 7717, 617, 1347, 2654, 3235, 4916, 5378, 6717, 7677, 105, 2127, 2669, 4092, 4870, 5515, 7103, 7264, 419, 1684, 3021, 4006, 4877, 5385, 6677, 7732, 419, 2034, 3000, 4068, 5138, 5360, 7160, 7732, 419, 1147, 2970, 4125, 5120, 5241, 6671, 8261, 859, 2032, 2880, 3827, 5060, 5635, 6338, 7485, 337, 1147, 2880, 4145, 5060, 5767, 6612, 7768, 488, 1684, 2806, 3893, 5060, 5241, 7120, 8196, 860, 2017, 2806, 3893, 4704, 6139, 7124, 8223, 142, 1622, 2806, 3825, 4704, 6186, 7226, 8223, 419, 1750, 2164, 3893, 5038, 5635, 7124, 8196, 240, 1218, 2466, 3394, 4980, 5635, 6909, 7716, 825, 1668, 2327, 3785, 4619, 6051, 6491, 7537, 616, 1287, 2355, 3814, 4671, 5389, 6263, 7367, 1039, 1472, 2701, 3792, 4206, 5870, 6556, 8241, 761, 1125, 2565, 3548, 4417, 6065, 6625, 8146, 650, 1644, 2805, 3918, 5088, 5613, 6410, 7883, 650, 1428, 2492, 3984, 4717, 6119, 6734, 7919, 223, 1685, 2258, 3949, 4318, 5366, 6348, 7311, 223, 1561, 3053, 3286, 4715, 6006, 6669, 8236, 223, 1685, 2783, 3380, 4335, 6002, 7160, 7513, 160, 1561, 2750, 3659, 4545, 6014, 6671, 8227, 160, 1121, 2750, 3785, 4267, 6083, 7052, 7774, 160, 1876, 3101, 3968, 4641, 5514, 6651, 8209, 160, 2053, 2208, 4125, 4691, 5641, 6859, 8099, 1071, 1876, 2552, 3433, 4882, 6007, 6272, 7887, 1071, 1858, 2440, 3575, 4330, 5548, 6540, 7965, 1071, 1858, 2492, 3575, 4930, 5379, 7173, 7865, 1025, 1227, 2946, 3929, 5169, 6195, 7222, 8188, 1025, 1388, 3026, 3649, 4872, 5377, 6432, 8034, 487, 1915, 2492, 3227, 4288, 6000, 7012, 7800, 487, 1915, 2311, 3535, 5135, 5836, 6270, 7362, 487, 1915, 2311, 3394, 5127, 5581, 6921, 8047, 487, 1924, 2311, 3533, 4902, 5849, 6544, 8074, 986, 1924, 2725, 3560, 4298, 5843, 6566, 7778, 545, 1858, 3040, 3321, 4298, 5706, 6938, 7976, 610, 2084, 2554, 3488, 4622, 6002, 7232, 8126, 859, 1175, 2980, 3873, 4387, 5557, 6612, 8227, 684, 1467, 2943, 3188, 4622, 5694, 6810, 7641, 804, 1620, 2542, 3407, 4971, 5705, 6996, 7949, 756, 1932, 3008, 4145, 5139, 5493, 6589, 7919, 183, 1370, 3098, 3771, 4387, 5767, 6668, 7843, 211, 1339, 2710, 3516, 4213, 5413, 6614, 7838, 1037, 1906, 3133, 4035, 5193, 6002, 7198, 7641, 571, 1519, 2946, 3226, 4622, 5892, 6338, 7260, 756, 1807, 2957, 3709, 4470, 5565, 6883, 8261, 356, 1139, 2655, 3917, 4179, 5942, 7207, 7707, 1059, 1782, 2163, 4166, 4598, 6107, 6348, 7675, 715, 1550, 2944, 3602, 4954, 5390, 6830, 7899, 545, 1924, 2346, 3227, 5000, 6034, 6884, 8117, 103, 1458, 2407, 3425, 5124, 5751, 6850, 7918, 545, 2024, 3091, 3957, 4571, 5810, 6848, 7263, 715, 2034, 2780, 3253, 4804, 5870, 6910, 7365, 996, 1794, 2355, 3613, 4213, 5836, 6909, 8067, 715, 1653, 2865, 3600, 4854, 5462, 6437, 7321, 308, 1653, 2893, 3309, 5135, 5968, 7024, 7838, 818, 1847, 3021, 4108, 5145, 5901, 6849, 8260, 878, 1601, 2468, 3908, 4622, 5386, 7232, 8215, 489, 1752, 2444, 3904, 4675, 6217, 7004, 7716, 475, 2068, 2858, 4092, 4713, 5677, 7239, 8076, 684, 2073, 2947, 3374, 4374, 5514, 7095, 7421, 390, 2073, 2678, 3314, 4235, 5892, 6604, 7732, 390, 1477, 2975, 4087, 4829, 5816, 6850, 7312, 1011, 1596, 3003, 4036, 4752, 5515, 6426, 8061, 1011, 1596, 2452, 3246, 4735, 5289, 7106, 7481, 620, 1826, 2951, 3522, 5192, 5935, 6254, 7983, 1080, 1653, 2724, 3600, 4723, 5397, 7154, 8016, 918, 1695, 2951, 3399, 4280, 6002, 7156, 7536, 996, 1695, 2899, 3424, 4854, 6086, 6883, 7488, 397, 1825, 2172, 3340, 5111, 6183, 6444, 8117, 844, 1112, 2720, 3770, 4292, 5706, 7192, 8129, 545, 2034, 2903, 3171, 5040, 5871, 6536, 7707, 103, 1943, 2444, 3770, 4382, 5656, 6929, 7954, 545, 2034, 2893, 3355, 5197, 5594, 7097, 7524, 715, 1289, 2316, 3161, 5149, 6122, 6947, 7804, 756, 2021, 2872, 3340, 4687, 5289, 6850, 8085, 510, 2034, 2582, 3740, 4398, 6063, 6562, 8016, 859, 1675, 2803, 4003, 4920, 6137, 7220, 7677, 935, 2046, 3021, 3994, 4287, 5694, 6752, 7811, 818, 2068, 3095, 4011, 4822, 5635, 7207, 8223, 818, 2017, 2806, 3645, 5061, 6129, 7201, 7717, 818, 1528, 2167, 4145, 4704, 6139, 7077, 7766, 818, 1622, 3095, 4018, 4704, 6129, 6786, 7949, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7239, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 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, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 76, 45, 52, 5, 77, 73, 5, 64, 76, 33, 63, 5, 66, 73, 5, 51, 48, 62, 5, 16, 5, 64, 48, 51, 63, 16, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 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, 488, 1622, 2164, 4108, 4822, 5612, 7124, 7766, 818, 1381, 2164, 3367, 4366, 6186, 7239, 8196, 804, 1869, 2806, 4170, 4583, 6211, 7077, 8185, 223, 1370, 3008, 3767, 5157, 6000, 6630, 7723, 802, 1233, 2163, 4047, 4546, 5899, 7081, 7869, 150, 1596, 2923, 3874, 5092, 5898, 6599, 7524, 761, 1171, 2750, 3745, 4755, 5659, 7203, 7803, 150, 2008, 3126, 4096, 5164, 5765, 7094, 7838, 955, 1286, 2946, 3395, 4700, 5221, 6306, 7498, 613, 1937, 2139, 4096, 4432, 5968, 6409, 7635, 304, 2008, 2454, 3776, 5026, 6086, 7160, 8066, 722, 1550, 2675, 3631, 4743, 5651, 7246, 8149, 987, 1400, 2830, 3631, 4790, 6007, 7043, 7384, 204, 1806, 2271, 3276, 5145, 5565, 7140, 7276, 335, 1889, 2282, 3762, 4598, 6123, 7181, 7563, 335, 1826, 2469, 3977, 4925, 5574, 6314, 7574, 335, 2118, 2469, 3188, 4877, 6018, 6579, 8061, 335, 2118, 2587, 3754, 5157, 6149, 6358, 8031, 731, 2002, 2953, 3470, 5157, 5414, 7132, 7959, 788, 2058, 2775, 4043, 4541, 5845, 6890, 7643, 699, 1597, 2554, 4092, 4423, 5733, 6917, 7823, 225, 1424, 2941, 3555, 5051, 5586, 7091, 7843, 518, 1434, 2542, 3231, 4877, 5837, 6740, 7680, 228, 2002, 2181, 4037, 4513, 5723, 6563, 8093, 518, 1749, 2646, 3171, 5193, 5429, 6642, 8057, 225, 1750, 2792, 3555, 4776, 6149, 7006, 8130, 225, 1851, 2875, 3838, 4859, 5400, 7100, 7318, 225, 1176, 2473, 4025, 5138, 6182, 7024, 7732, 225, 1789, 2282, 3350, 5075, 5303, 6683, 7557, 757, 1597, 2289, 3681, 4374, 5677, 7091, 7677, 579, 1736, 3147, 4083, 5159, 5676, 7160, 7303, 617, 2088, 2886, 4071, 4700, 5276, 7194, 7580, 915, 1648, 2554, 3891, 4704, 5892, 7098, 8237, 915, 1648, 3065, 3550, 4890, 6211, 6515, 8261, 419, 1833, 3128, 4071, 4859, 5767, 6515, 7723, 401, 1400, 3043, 3987, 5139, 5223, 7129, 8258, 271, 1897, 3150, 3909, 5139, 6003, 6930, 7718, 895, 1858, 2592, 3908, 4543, 6208, 7104, 7881, 465, 1407, 2429, 3986, 4248, 6180, 6614, 8243, 465, 1484, 2429, 3936, 4338, 5695, 7099, 7645, 137, 2059, 3101, 4037, 4683, 5657, 7083, 7350, 465, 1171, 2927, 3647, 4338, 5343, 6603, 7385, 465, 1171, 2378, 3707, 4764, 5931, 6565, 8051, 465, 1158, 2378, 3740, 5147, 5659, 7043, 7510, 150, 1586, 2171, 4123, 4831, 6090, 6333, 8139, 150, 1189, 2186, 3687, 4323, 5810, 7007, 7319, 465, 1758, 2927, 3918, 4679, 5794, 6603, 7466, 887, 1586, 2349, 3196, 4385, 5657, 6731, 8193, 390, 1403, 2775, 3952, 4562, 5944, 6337, 7680, 510, 2125, 3021, 3977, 5061, 5927, 6430, 7764, 105, 1753, 2709, 3945, 4437, 5968, 7207, 7838, 568, 1938, 2860, 3391, 4437, 6112, 6726, 7908, 613, 1695, 2897, 3962, 4954, 6111, 6443, 7516, 401, 1186, 2797, 4085, 4494, 5590, 7047, 8049, 308, 1147, 2943, 4108, 5104, 6051, 7218, 7563, 914, 1791, 2947, 3440, 4551, 5730, 6584, 7918, 1097, 2064, 2880, 3932, 4630, 5832, 6996, 7876, 105, 1623, 2820, 3886, 4762, 6103, 7152, 8266, 1020, 2046, 2709, 3183, 4691, 5810, 6740, 7965, 183, 1534, 3135, 3440, 4214, 6157, 7100, 8248, 183, 1705, 2729, 3374, 4651, 5438, 7132, 8061, 756, 1633, 3021, 3358, 4859, 5294, 7230, 7448, 304, 2008, 3053, 3478, 5079, 5771, 6889, 7887, 223, 1707, 2601, 3445, 4364, 5485, 7140, 7693, 160, 1708, 3116, 3711, 4629, 5694, 7157, 7379, 778, 1732, 2751, 3669, 4417, 5981, 7125, 7261, 1056, 1373, 3039, 4151, 5183, 5825, 6966, 8083, 818, 1467, 2806, 4011, 5058, 5981, 7077, 8267, 915, 1508, 2936, 4114, 5058, 5767, 7077, 8196, 956, 1791, 2947, 3710, 4366, 6129, 6515, 7641, 804, 2046, 2838, 4011, 4888, 6131, 6752, 7494, 579, 1206, 2340, 4145, 4276, 5599, 6889, 7386, 223, 1141, 2151, 3521, 5083, 5503, 6350, 7918, 1033, 1566, 2807, 3530, 5084, 5944, 6815, 8069, 887, 2002, 3130, 4078, 4541, 5937, 7119, 8061, 576, 1421, 3130, 3314, 4611, 5854, 6592, 8048, 654, 2002, 2181, 3217, 4727, 5678, 6348, 8213, 654, 2002, 2349, 4113, 5157, 5796, 7024, 7715, 518, 1851, 2516, 4113, 4681, 5573, 7010, 8164, 518, 1851, 3046, 3798, 4586, 5901, 6840, 8130, 518, 1596, 2473, 3931, 4214, 5677, 7006, 8262, 518, 2111, 3026, 3364, 4681, 5796, 6889, 7397, 228, 2030, 2725, 3577, 4654, 5609, 6604, 7643, 256, 1750, 3097, 3798, 4716, 5892, 6604, 7865, 228, 1684, 2554, 3803, 4387, 5333, 7120, 8262, 859, 1684, 2970, 4068, 5120, 5832, 7127, 7773, 390, 1869, 2970, 4011, 4895, 5981, 7232, 8185, 271, 1692, 2542, 3909, 4762, 5298, 6592, 8126, 582, 1350, 2346, 3593, 4972, 5800, 6380, 7687, 424, 1550, 2793, 3770, 4802, 5968, 6348, 7706, 288, 1399, 2946, 3363, 5183, 5221, 6740, 8128, 804, 1705, 2880, 3838, 4681, 6211, 7207, 7959, 552, 1467, 2803, 3982, 5038, 5219, 7012, 8132, 171, 1386, 2925, 3680, 4289, 5687, 6850, 8267, 473, 1770, 2890, 3662, 4966, 5334, 7120, 8209, 337, 1869, 3092, 4113, 5060, 6051, 6776, 7703, 645, 1851, 2838, 4152, 5139, 6149, 7218, 7811, 153, 1833, 2971, 3370, 5085, 6206, 7162, 7259, 617, 1966, 2783, 3566, 4789, 5624, 6876, 8132, 216, 1407, 3053, 3472, 4670, 5624, 7114, 8080, 1057, 2048, 2440, 3901, 4796, 5640, 6763, 7536, 620, 1171, 2378, 3521, 4636, 5555, 6985, 7478, 992, 1758, 2636, 4094, 4902, 5480, 7247, 8061, 844, 1541, 2378, 3517, 5078, 5485, 6348, 7312, 103, 2125, 2424, 3692, 4630, 5716, 6958, 7643, 419, 1623, 2838, 4107, 5125, 5883, 6614, 7664, 186, 1945, 3135, 4071, 5058, 5219, 7201, 7806, 874, 1349, 2904, 3562, 4441, 5438, 6671, 8236, 518, 1564, 2904, 3429, 4811, 5527, 6736, 7976, 555, 1974, 2833, 3277, 4512, 5630, 6752, 8147, 488, 2017, 3117, 3827, 4512, 5963, 7207, 7557, 860, 2017, 2806, 3825, 4624, 6139, 7132, 8223, 488, 2017, 3117, 3367, 4624, 5635, 6972, 7876, 488, 2017, 2806, 3893, 4624, 6139, 7226, 8223, 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, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 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, 7226, 8196, 488, 1648, 2914, 3893, 4624, 5635, 7077, 7766, 488, 1648, 2914, 3893, 4512, 5635, 7226, 7766, 488, 1648, 2806, 3893, 4512, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 33, 75, 35, 47, 5, 45, 54, 29, 5, 17, 75, 5, 43, 45, 78, 5, 28, 11, 30, 47, 5, 14, 78, 5, 76, 33, 52, 5, 14, 78, 5, 43, 45, 78, 5, 33, 52, 16, 51, 76, 16, 54, 66, 5, 26, 78, 5, 51, 63, 26, 30, 5, 16, 52, 23, 30, 5, 44, 54, 5, 16, 62, 48, 52, 5, 66, 73, 5, 28, 48, 5, 66, 39, 51, 16, 54, 5, 16, 52, 20, 55, 5, 5, 3, 488, 1147, 2970, 4174, 4704, 6081, 6752, 8147, 915, 1147, 2164, 4174, 4822, 6163, 6752, 7485, 915, 2017, 3021, 3893, 4624, 5635, 7077, 8147, 488, 1648, 2806, 3893, 4704, 6139, 7226, 8196, 142, 1528, 2806, 3825, 4624, 6186, 7226, 8147, 488, 2017, 3065, 3893, 4798, 5635, 7077, 7766, 915, 1648, 2806, 3893, 4387, 5241, 7124, 8223, 419, 1304, 3065, 4068, 5138, 5241, 6889, 8147, 391, 1206, 2239, 3487, 4929, 5366, 7192, 8188, 363, 1174, 2332, 3394, 4856, 5539, 7192, 7873, 896, 1140, 2665, 3888, 4819, 5396, 6775, 7510, 993, 1557, 2869, 3456, 5188, 5313, 6872, 7774, 1029, 1914, 2292, 4096, 4762, 5704, 6903, 7631, 386, 1721, 2515, 3832, 5074, 5613, 6536, 7728, 150, 2053, 2881, 3540, 4522, 5980, 6899, 7794, 610, 1797, 2239, 3892, 4672, 5883, 7095, 7311, 1025, 2013, 2988, 3241, 5006, 5413, 6584, 7821, 737, 1349, 3040, 3623, 4691, 5742, 6371, 8167, 557, 1349, 2316, 3845, 4586, 5886, 7114, 7904, 896, 1552, 2455, 3623, 4474, 6077, 7082, 7873, 1023, 1842, 3003, 3313, 4376, 5313, 6439, 8086, 363, 1673, 2279, 3323, 5128, 6117, 6550, 7983, 1057, 1509, 2648, 3300, 4348, 5390, 7002, 8033, 288, 1499, 2492, 3914, 4185, 5672, 6612, 7290, 940, 1370, 2610, 3868, 5007, 5942, 6885, 7264, 304, 1707, 3143, 3692, 4589, 5500, 6229, 8016, 448, 1635, 2473, 4171, 4398, 5558, 6436, 8145, 150, 1525, 3038, 4106, 4369, 6104, 6594, 7701, 993, 1517, 2419, 3183, 4315, 6183, 7049, 7442, 784, 1375, 3026, 3167, 4400, 6122, 7183, 7625, 896, 1564, 2841, 4154, 5121, 6145, 7040, 7668, 535, 1692, 2292, 3329, 5134, 6084, 6923, 7817, 487, 1374, 2610, 3679, 4995, 5588, 6563, 7435, 487, 1708, 2934, 3329, 5145, 5482, 6790, 8023, 993, 1133, 2787, 3765, 5001, 5682, 6803, 7797, 884, 1708, 2638, 3329, 4298, 5976, 6672, 8028, 936, 1550, 2842, 3623, 4224, 5889, 6409, 7771, 363, 1550, 3106, 4137, 4298, 6118, 7002, 7808, 1004, 1400, 2725, 3159, 4609, 5323, 6883, 8039, 969, 1826, 2353, 3270, 4298, 5743, 6443, 8079, 766, 1637, 2482, 3729, 4934, 5292, 6706, 7931, 902, 1316, 2665, 3395, 5043, 5837, 6595, 7311, 480, 1633, 3120, 3517, 5031, 5807, 7047, 7635, 1084, 1389, 3074, 3966, 4839, 6142, 6419, 7929, 767, 1881, 2730, 3251, 4829, 6007, 7043, 7539, 767, 1871, 2693, 3955, 4429, 6160, 7010, 7980, 767, 1118, 2282, 4126, 5166, 6007, 6467, 7524, 304, 1231, 2389, 3901, 4982, 6025, 7098, 7717, 401, 1834, 2469, 3478, 4334, 5953, 6810, 7539, 183, 1556, 2718, 3364, 4589, 6050, 7095, 7793, 225, 1933, 2181, 3552, 4918, 5550, 6884, 7773, 518, 1440, 2718, 3709, 4896, 6168, 6740, 8185, 183, 1304, 2181, 3188, 4555, 5935, 7120, 8080, 118, 1564, 2181, 4145, 4993, 5942, 7100, 8061, 757, 1633, 2287, 3363, 4890, 6118, 6903, 7438, 767, 1286, 2838, 3975, 4691, 6146, 6677, 7732, 862, 1373, 2481, 3623, 4878, 6163, 6347, 7376, 862, 1411, 2987, 3602, 4650, 6119, 6538, 7643, 938, 1566, 2378, 3458, 4595, 6007, 6740, 7939, 211, 1407, 2901, 4083, 4852, 5599, 7120, 7906, 955, 2000, 2254, 3961, 4215, 5364, 7010, 7948, 955, 2084, 3150, 4025, 5104, 5804, 7152, 7711, 691, 1402, 2627, 3540, 5067, 5436, 6254, 8225, 840, 1458, 2554, 3271, 4736, 5706, 7242, 7936, 884, 1892, 2188, 4159, 4474, 5742, 7230, 8205, 465, 2033, 2561, 3425, 4364, 5594, 6865, 7513, 1101, 1255, 3029, 4047, 4289, 6181, 6898, 7435, 881, 1826, 2732, 3662, 4496, 6119, 6657, 7994, 317, 1125, 2677, 3861, 5084, 6110, 6651, 7677, 228, 2107, 2473, 3788, 4604, 5709, 6738, 7852, 240, 2046, 2151, 3394, 5098, 5981, 7201, 7716, 1079, 1237, 2398, 3788, 4633, 6159, 6579, 8236, 1097, 2046, 2560, 3857, 5080, 6051, 6786, 8205, 804, 1540, 3043, 4114, 4549, 5219, 7095, 8185, 308, 1750, 2803, 3407, 5038, 5883, 6709, 8267, 804, 2125, 3128, 4018, 5058, 6205, 7239, 8237, 1079, 1218, 2949, 4068, 4980, 6175, 7239, 8179, 308, 1218, 2582, 4174, 4583, 6129, 7084, 8267, 684, 1620, 2947, 4068, 4980, 6205, 6988, 7949, 884, 1760, 3108, 4151, 5011, 5542, 7025, 7504, 333, 1548, 2137, 3153, 4506, 5959, 6399, 7248, 249, 1294, 2137, 3272, 5152, 5813, 6929, 8002, 737, 1503, 2359, 3878, 4544, 5941, 6583, 7622, 840, 1183, 3040, 3651, 4783, 5846, 6858, 8000, 508, 1812, 2393, 3305, 4237, 6144, 6612, 7447, 504, 1503, 2313, 3925, 4930, 5593, 6681, 7786, 386, 1503, 2393, 3322, 4273, 5867, 7228, 7696, 360, 1199, 2265, 3313, 5071, 5415, 6897, 8143, 1101, 1302, 2869, 3306, 4758, 5375, 7021, 7607, 840, 1557, 2869, 3611, 4791, 5476, 6530, 8200, 405, 1791, 2802, 3771, 4226, 6179, 7169, 7778, 940, 1797, 2484, 4166, 4762, 5385, 6646, 7279, 981, 2033, 2239, 4138, 4881, 5586, 6241, 7996, 545, 1688, 2856, 4130, 4482, 5431, 7037, 8070, 1101, 1640, 2890, 3313, 4292, 5318, 6224, 8149, 1024, 2008, 2422, 3425, 5151, 5979, 6302, 7397, 582, 1778, 2221, 4102, 4796, 5313, 6601, 7983, 981, 2095, 2502, 3394, 4954, 6118, 6813, 7966, 981, 1550, 2940, 4098, 4512, 5737, 6740, 7821, 678, 2008, 3006, 4103, 5151, 5980, 7133, 7873, 678, 1388, 2710, 3801, 4755, 5610, 6566, 7490, 643, 1550, 2678, 3424, 4900, 5706, 6848, 8209, 504, 1550, 2152, 3922, 4813, 5450, 7160, 7442, 643, 1834, 2309, 3243, 4337, 5223, 6651, 8213, 504, 1562, 2872, 3543, 4225, 5523, 6224, 7707, 643, 1834, 2163, 3595, 4586, 6069, 6772, 7869, 504, 1403, 3021, 4055, 4604, 6050, 6255, 8193, 725, 1773, 2415, 3361, 4329, 5752, 7002, 8254, 1081, 2001, 2659, 3997, 4966, 5547, 6803, 8213, 575, 1442, 2659, 3979, 4215, 6163, 6820, 7852, 1025, 1530, 3032, 4128, 4691, 5624, 6592, 7248, 610, 1139, 2156, 3964, 5121, 6065, 6357, 7962, 831, 1388, 2156, 3570, 4242, 6002, 6870, 8061, 1014, 1455, 2920, 3513, 4282, 6002, 6938, 7384, 518, 1577, 2659, 3459, 4364, 5538, 6731, 7675, 225, 1821, 3131, 3749, 5135, 5681, 6856, 7750, 228, 1116, 2754, 3424, 4623, 5943, 7163, 7448, 231, 2002, 2398, 3472, 4580, 5303, 6350, 8092, 171, 1186, 2886, 3578, 4611, 5431, 6842, 8188, 779, 1540, 3098, 3602, 4764, 5543, 6551, 7965, 390, 1919, 2895, 3188, 4691, 5684, 7152, 8027, 776, 1660, 2838, 4135, 5166, 6063, 6892, 7729, 970, 1897, 3144, 4151, 4516, 5630, 6998, 8130, 864, 1499, 2144, 3829, 4543, 5231, 6975, 8120, 1008, 1937, 2480, 3678, 5124, 6064, 7030, 7524, 344, 1919, 2655, 3349, 4182, 5311, 7237, 7582, 1038, 1157, 2923, 3736, 4813, 5311, 6872, 7535, 1001, 1212, 2163, 3448, 4604, 5576, 6846, 7313, 996, 1503, 2474, 4099, 4592, 5557, 6403, 7897, 1022, 1503, 2258, 4099, 4409, 5454, 6835, 7849, 1025, 1871, 2373, 4099, 4727, 5313, 6281, 7442, 1025, 1867, 2173, 3870, 4717, 5899, 7186, 8188, 1025, 1600, 3003, 3950, 4796, 6137, 7166, 7908, 211, 1915, 2716, 3374, 4780, 5904, 6979, 7570, 610, 1596, 2659, 4074, 4723, 5573, 7098, 7442, 938, 1171, 3040, 3188, 5011, 5438, 6984, 7687, 1025, 1453, 3040, 3205, 4995, 5433, 6710, 7896, 424, 1821, 3043, 3776, 4776, 6178, 6576, 8245, 211, 1636, 3040, 3570, 5088, 6085, 7002, 7435, 863, 1794, 2651, 3480, 5193, 5502, 7083, 7737, 518, 1554, 2775, 3671, 5150, 5725, 6251, 7318, 518, 1460, 2659, 3904, 4494, 6149, 6872, 7533, 568, 1115, 2771, 4153, 4675, 6057, 6895, 7646, 568, 1326, 2783, 4153, 4344, 5998, 6343, 7996, 518, 1153, 3040, 3605, 4775, 5706, 6876, 7336, 715, 1186, 2980, 4124, 4945, 6157, 6895, 7986, 650, 1521, 2833, 3696, 4654, 5631, 6809, 8126, 672, 1286, 2132, 3162, 4873, 5613, 6584, 7547, 692, 1881, 2282, 3741, 4218, 5484, 7075, 7912, 938, 1472, 2432, 4172, 4522, 5474, 6640, 7415, 862, 1932, 2464, 3331, 4859, 5810, 6939, 7447, 569, 1541, 2912, 3356, 4598, 5370, 6525, 8178, 1003, 1778, 2625, 3410, 4555, 5599, 7114, 7967, 610, 1621, 2238, 3870, 4189, 5656, 6340, 8188, 1014, 1992, 2429, 3248, 4415, 5918, 6302, 7451, 518, 1139, 2798, 3749, 5134, 5378, 6706, 7675, 518, 1175, 2783, 4003, 4651, 5793, 6748, 7707, 518, 1519, 3053, 3470, 4329, 5624, 6444, 8185, 211, 1283, 3133, 4171, 4654, 5276, 7059, 7811, 955, 1816, 2820, 4074, 4935, 5568, 6889, 7515, 887, 1269, 2453, 3237, 4564, 5631, 7002, 7538, 942, 1631, 2453, 3165, 4573, 5620, 6550, 7660, 459, 1993, 2327, 3669, 4715, 5913, 6848, 7831, 459, 1703, 2464, 3992, 5052, 6222, 6529, 8259, 113, 1821, 3047, 3647, 4536, 6167, 6414, 8144, 803, 1129, 2348, 3227, 4709, 6042, 6318, 7808, 344, 1183, 2888, 3823, 4755, 6062, 6741, 7952, 277, 1129, 2497, 3728, 4351, 5810, 6910, 7803, 895, 1177, 2137, 3613, 4883, 5643, 6510, 7482, 1008, 1682, 2516, 4036, 4873, 5902, 6319, 8028, 1008, 2126, 2274, 3394, 4983, 5889, 6426, 7798, 1038, 1972, 2748, 3960, 4330, 6201, 6224, 8165, 840, 2056, 2678, 3525, 4321, 5298, 7227, 7513, 692, 2036, 2429, 3766, 4351, 6002, 6478, 7828, 104, 1510, 3073, 3754, 4971, 5276, 6978, 7973, 571, 1992, 2436, 3513, 4423, 6007, 7023, 7563, 956, 1664, 2925, 3990, 5145, 5684, 7207, 8080, 510, 1998, 2730, 4011, 5166, 6085, 6774, 7421, 450, 1620, 2730, 4115, 4630, 5834, 6750, 7260, 110, 2024, 2899, 3188, 4691, 5227, 6750, 8135, 859, 2068, 2880, 3487, 4918, 5210, 6677, 8195, 390, 1333, 2860, 4170, 5088, 6123, 6979, 7717, 166, 1763, 3060, 3456, 4245, 6096, 7010, 7902, 266, 2035, 2298, 3430, 4348, 5678, 6898, 7570, 725, 1850, 2868, 3472, 4451, 5558, 7094, 7596, 887, 1509, 2646, 3222, 4954, 5313, 7072, 7740, 887, 1227, 2389, 3771, 4179, 5978, 7220, 7717, 887, 1227, 2389, 3771, 4536, 6014, 6642, 8266, 1090, 1778, 2695, 3233, 5180, 5538, 7017, 7624, 288, 1992, 3061, 3795, 4925, 5573, 7010, 7557, 804, 1363, 2167, 3231, 5143, 6205, 6668, 7717, 668, 1198, 2520, 3611, 4795, 5406, 6426, 7741, 113, 1821, 2959, 3700, 5000, 5474, 6783, 7817, 774, 1865, 2348, 3356, 4485, 6043, 7063, 7397, 360, 1311, 3091, 3475, 4705, 6135, 6627, 7883, 1084, 1983, 2464, 3460, 5031, 5976, 7230, 7960, 776, 1743, 2923, 3643, 4365, 5230, 6962, 7426, 113, 1655, 2532, 4013, 4714, 5719, 6663, 7497, 508, 1609, 3091, 3885, 5150, 5351, 6816, 7427, 895, 1529, 2309, 3915, 4462, 5810, 6788, 8161, 1052, 1850, 3091, 3520, 5140, 5325, 6896, 7693, 1040, 1770, 3091, 3490, 4421, 5512, 6596, 8193, 113, 1907, 2580, 4137, 4218, 5234, 6386, 8050, 1057, 1132, 2355, 3919, 4401, 5918, 6528, 7712, 988, 1510, 2260, 3785, 5054, 5393, 6466, 7683, 930, 1656, 2787, 3525, 4213, 5610, 6441, 7811, 404, 1747, 2625, 3265, 4751, 6034, 6680, 8052, 492, 1586, 3034, 3707, 5086, 6086, 6929, 8039, 247, 1186, 2689, 3764, 4985, 6010, 6251, 8081, 487, 1327, 2210, 3602, 4664, 5643, 6614, 7827, 487, 1397, 2626, 4082, 4914, 5396, 6372, 8070, 862, 1458, 2210, 3394, 4323, 6130, 7109, 8061, 1024, 1494, 3091, 3922, 4840, 5870, 6746, 7396, 576, 1323, 2282, 3741, 5190, 6221, 6858, 8073, 518, 1265, 2751, 3231, 4379, 5887, 7230, 7397, 225, 1202, 2427, 3776, 4887, 6041, 6443, 8016, 195, 2079, 3135, 3777, 5106, 6146, 6612, 7365, 518, 2118, 2925, 4161, 4681, 6101, 6579, 8118, 183, 1349, 2221, 4113, 4985, 5515, 7024, 7485, 859, 2111, 3049, 4106, 5120, 5755, 6809, 8061, 818, 2046, 2729, 3440, 4870, 5677, 7077, 8260, 818, 1175, 3110, 3710, 4877, 5514, 6972, 8237, 818, 1528, 3006, 3188, 4583, 5677, 7077, 8185, 555, 1528, 3021, 3374, 5104, 5436, 7006, 8147, 859, 2127, 2970, 3914, 4890, 5811, 7077, 7563, 105, 1332, 3147, 3803, 4918, 5901, 6988, 7563, 859, 2002, 2970, 3550, 5160, 5767, 7129, 7410, 617, 1496, 2918, 3239, 4549, 6149, 7152, 8016, 859, 2111, 2970, 3550, 4681, 5550, 7090, 7723, 555, 1304, 2833, 3374, 4859, 5981, 7160, 7563, 859, 1974, 2156, 3689, 4870, 5678, 6996, 7557, 617, 1750, 2833, 3420, 5159, 5413, 6677, 7563, 552, 2127, 2340, 3407, 4512, 6149, 6810, 8061, 105, 2106, 2806, 3374, 4859, 6149, 7129, 7831, 617, 1750, 2775, 4125, 5120, 5580, 7232, 7831, 859, 2111, 2970, 3550, 4512, 5241, 6584, 8061, 617, 1750, 2775, 3420, 4890, 5963, 6677, 7563, 859, 2002, 2839, 3550, 5159, 5550, 7207, 7485, 859, 1938, 2340, 3550, 5135, 5844, 6988, 7537, 859, 2111, 2454, 3550, 5159, 5550, 7207, 8261, 859, 1974, 2833, 3550, 4859, 6139, 7120, 7766, 555, 1623, 2970, 4124, 4615, 6149, 6515, 7831, 859, 1332, 3026, 3931, 4512, 6175, 6996, 7563, 555, 1684, 2970, 4068, 4622, 5241, 6996, 7664, 818, 1648, 2806, 3891, 4681, 5515, 7207, 8223, 142, 2017, 2806, 3825, 4704, 5892, 6794, 8147, 142, 2017, 2806, 3825, 4704, 6139, 6589, 8223, 142, 1528, 2806, 3893, 4704, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 508, 1870, 2720, 3376, 4588, 5729, 7127, 7979, 579, 2098, 2971, 3188, 5003, 5924, 7133, 8164, 878, 2106, 2287, 4005, 4782, 6183, 6502, 8182, 335, 1833, 2340, 3970, 4595, 5858, 7109, 7732, 716, 1415, 2834, 4124, 4701, 6021, 6820, 7290, 864, 1812, 2884, 4063, 5187, 6031, 6529, 7505, 862, 1861, 2529, 3349, 4297, 5457, 6398, 8246, 360, 1655, 2731, 3456, 4349, 5817, 7035, 7410, 1036, 1302, 2869, 4005, 4418, 6138, 6943, 7367, 840, 1503, 3019, 3287, 5170, 5572, 6538, 7981, 611, 1563, 2455, 3814, 4654, 5535, 6802, 7865, 653, 1278, 3140, 3672, 5022, 5227, 6757, 7603, 1101, 1349, 2937, 3332, 4960, 6181, 7069, 7691, 249, 1286, 2705, 3252, 4898, 5870, 6516, 7882, 363, 1286, 3070, 3379, 4501, 6125, 7059, 8027, 271, 1164, 2198, 3271, 4715, 5890, 6458, 7872, 1081, 2008, 2380, 3925, 4693, 5384, 6899, 7794, 308, 1455, 2925, 3771, 4967, 6056, 6265, 7992, 952, 1606, 2492, 3522, 4512, 5500, 6604, 7348, 725, 1773, 3050, 3771, 4693, 6048, 6705, 7631, 1067, 1767, 2752, 3259, 4976, 5606, 6717, 7681, 736, 2059, 2766, 4022, 4699, 5572, 6717, 8104, 895, 1199, 3050, 3230, 4755, 5903, 6548, 7633, 895, 1503, 2902, 3849, 4248, 5594, 6888, 7452, 1025, 1926, 2748, 3709, 4444, 6064, 7076, 7508, 778, 1440, 2570, 4007, 4760, 5876, 6247, 7375, 1011, 1369, 2173, 3675, 4592, 5227, 7102, 7502, 386, 1130, 2348, 3909, 5110, 5918, 6269, 7685, 641, 1440, 2365, 3276, 4499, 5540, 6300, 8028, 678, 1919, 2173, 3819, 4576, 5532, 7206, 7544, 1024, 2061, 2470, 3701, 4893, 5849, 6614, 7502, 692, 1926, 2748, 4094, 5193, 5804, 6426, 8262, 1040, 1183, 2873, 3384, 4210, 5408, 6715, 7983, 492, 1293, 3040, 3191, 4248, 5545, 7130, 7576, 247, 1183, 2195, 3717, 5036, 5791, 6611, 8048, 508, 1212, 3040, 3271, 4401, 5798, 6423, 7885, 302, 1183, 2348, 3902, 4755, 5323, 6608, 7689, 774, 1503, 3010, 3376, 4786, 5898, 6437, 8104, 242, 1503, 3010, 3822, 4330, 5464, 6658, 7913, 242, 1503, 2159, 3619, 4683, 5787, 6453, 7329, 249, 1503, 2985, 3416, 4647, 5787, 6549, 7722, 1066, 1503, 2532, 4164, 4755, 6095, 6403, 7639, 1029, 1503, 3066, 3965, 4755, 5593, 7000, 7442, 536, 1402, 2137, 4044, 4678, 6157, 7231, 7835, 150, 1503, 2727, 3552, 4442, 6084, 6965, 7613, 504, 1630, 2137, 3189, 5001, 5484, 6622, 8173, 1029, 1797, 2790, 3496, 5090, 6101, 7035, 7918, 643, 1494, 2337, 3271, 4539, 5425, 7112, 7863, 405, 2076, 3026, 3962, 4586, 5738, 6614, 7263, 390, 2106, 3008, 3440, 4435, 5796, 7202, 7641, 487, 2106, 2925, 3316, 4402, 6031, 6984, 7303, 993, 1882, 2239, 3642, 5096, 5584, 6464, 7362, 399, 1708, 2380, 3329, 4800, 6077, 6444, 7879, 399, 1640, 2869, 3417, 4506, 6165, 6224, 8215, 664, 1915, 2464, 3329, 5036, 5800, 6626, 8069, 535, 1550, 2239, 3329, 5097, 5370, 6458, 7479, 778, 1388, 2951, 3227, 4676, 5344, 6292, 8149, 104, 1227, 2312, 3376, 5070, 6154, 7173, 7693, 104, 2079, 2261, 3193, 4458, 6137, 7087, 8129, 104, 1388, 2455, 3488, 5042, 5891, 6748, 8009, 314, 1490, 2727, 3313, 4321, 5840, 6813, 7761, 1023, 1346, 2593, 3543, 4443, 5819, 7188, 8137, 249, 1653, 3130, 3888, 4193, 5314, 6262, 7686, 643, 1769, 2886, 3230, 4792, 5339, 6270, 8215, 1097, 2079, 2998, 3914, 4622, 5832, 7058, 7720, 1099, 2065, 2895, 3886, 4822, 5630, 7098, 8076, 818, 1847, 2991, 3891, 5165, 6129, 6776, 8185, 510, 2068, 2803, 4114, 5159, 6146, 7132, 8076, 935, 1847, 3007, 3226, 5165, 5219, 7006, 8237, 510, 2068, 3109, 3710, 4980, 6014, 7111, 7485, 1099, 2017, 2991, 3866, 4980, 6211, 7132, 8076, 317, 1910, 2754, 3307, 5167, 5830, 7052, 7908, 617, 1684, 2554, 4089, 4398, 6146, 7017, 7782, 757, 1286, 2976, 3680, 5076, 5865, 7090, 7908, 955, 1400, 2717, 3917, 4967, 5612, 6254, 7827, 1033, 1834, 2454, 4114, 5088, 6002, 6762, 7657, 1101, 1692, 2847, 3329, 4297, 5678, 7012, 7846, 993, 1550, 3098, 3543, 4539, 6154, 6814, 7883, 807, 1914, 3116, 4103, 4351, 5777, 6991, 7922, 807, 2079, 2565, 3918, 4539, 5938, 6494, 8072, 545, 2107, 2565, 4102, 5001, 6221, 6592, 7383, 582, 1587, 3091, 3425, 4935, 5980, 6723, 8216, 778, 1550, 2751, 3776, 5104, 5995, 6603, 7252, 104, 1550, 2751, 3578, 4604, 5538, 7219, 8125, 487, 2063, 2352, 3425, 4604, 5746, 7099, 8208, 807, 1700, 2543, 3356, 4945, 5218, 6275, 7749, 722, 1561, 2336, 3749, 4351, 5863, 6254, 7962, 1003, 1369, 3091, 3655, 4881, 6216, 7232, 7793, 1080, 1455, 3068, 3613, 4604, 6107, 7010, 7262, 668, 1139, 2355, 3788, 4723, 6076, 6626, 7673, 692, 1655, 2959, 3741, 4298, 5995, 7122, 7726, 938, 1655, 2652, 3251, 4437, 5643, 6481, 7721, 235, 2050, 2282, 3464, 4446, 5365, 7246, 7520, 620, 2061, 2135, 3964, 4657, 5615, 6247, 7683, 1024, 1275, 2923, 3356, 4718, 5520, 7045, 7918, 803, 2061, 2470, 3993, 5067, 6000, 6393, 7987, 938, 2050, 2369, 3543, 4960, 6065, 6885, 7849, 665, 1440, 2736, 4084, 4738, 5339, 7185, 7436, 692, 1339, 3018, 3779, 4616, 5755, 6965, 7583, 113, 1177, 2173, 3468, 4807, 5941, 6581, 7419, 508, 1463, 3040, 3165, 4333, 5964, 6822, 7367, 940, 1986, 2641, 4004, 4693, 5835, 7241, 7729, 1079, 1750, 2293, 3374, 4551, 5205, 7220, 8179, 510, 1323, 2740, 4170, 5139, 6137, 6589, 7574, 935, 1175, 3008, 4166, 5038, 6211, 7239, 8267, 818, 2046, 3110, 4174, 4822, 5210, 7239, 7876, 510, 1218, 2989, 4006, 5075, 5534, 7239, 8083, 552, 1623, 2833, 4115, 4512, 5210, 6604, 7677, 617, 1345, 2989, 3891, 5160, 5436, 7149, 7563, 617, 1490, 3008, 3550, 4630, 5797, 6810, 7419, 617, 1345, 3133, 3550, 4859, 5219, 7090, 8126, 617, 2002, 2718, 3376, 4398, 5963, 6677, 7485, 617, 1345, 2542, 3882, 4848, 5219, 7132, 7919, 617, 1750, 2833, 4125, 4859, 5438, 6677, 8061, 859, 1332, 2554, 4068, 4888, 5503, 7077, 7831, 555, 2111, 2554, 3914, 4890, 5901, 6752, 7715, 488, 2111, 2806, 3391, 4681, 5892, 6794, 7717, 142, 1528, 2806, 4018, 4704, 5635, 7226, 8260, 956, 2041, 3065, 3886, 5058, 5612, 7239, 8237, 818, 1406, 3117, 4170, 4822, 5241, 7201, 7949, 421, 2098, 2345, 3518, 4829, 5530, 6900, 7318, 1020, 1749, 2328, 3475, 5183, 5586, 7146, 7811, 204, 1231, 2950, 3955, 5124, 5472, 6834, 7998, 942, 2091, 2188, 3962, 4918, 5865, 6982, 8034, 304, 2035, 3064, 4011, 4470, 5840, 7152, 7631, 211, 1688, 3128, 3982, 5058, 5893, 6688, 7768, 955, 1777, 2493, 3516, 4630, 5635, 6668, 8179, 868, 1280, 2802, 4096, 4859, 6124, 7162, 7386, 304, 1164, 3144, 3376, 5061, 5438, 6270, 7776, 103, 2033, 2924, 3513, 4288, 6035, 6809, 7816, 610, 1782, 2542, 3993, 4859, 5981, 6899, 7383, 183, 1581, 2142, 3731, 4555, 5280, 6858, 8213, 860, 1804, 2949, 4108, 5080, 5963, 7006, 8196, 186, 1998, 2806, 4114, 5061, 6129, 7077, 8237, 510, 1791, 2880, 3866, 4681, 6205, 6972, 7723, 617, 1910, 2556, 3994, 4551, 5610, 6338, 8179, 195, 1910, 2181, 3771, 5020, 5276, 7080, 8118, 195, 1372, 2137, 3532, 4896, 5730, 6567, 7913, 878, 1564, 2175, 3726, 4409, 5276, 6528, 7965, 967, 1564, 2858, 3704, 4870, 6077, 6879, 7898, 613, 1496, 3007, 3827, 4329, 5796, 6604, 7992, 1033, 1304, 2761, 4082, 4268, 5926, 6885, 7542, 459, 2035, 2580, 3643, 4335, 5233, 6969, 7918, 952, 1609, 2801, 3513, 5053, 5508, 7241, 8088, 582, 1685, 2910, 3403, 5051, 6141, 6856, 7478, 955, 1422, 2163, 3631, 4321, 5745, 6998, 8031, 1056, 1167, 3008, 3687, 4555, 5574, 6663, 8111, 1097, 1508, 3135, 4145, 5139, 6051, 6840, 7919, 956, 1406, 2947, 3886, 4551, 5210, 6752, 7949, 489, 1937, 2880, 4015, 4344, 5797, 6709, 7259, 756, 1550, 3006, 3866, 4214, 5296, 6443, 7275, 304, 1460, 3144, 3886, 4617, 5443, 6486, 7831, 650, 1458, 2381, 3848, 4954, 5311, 6314, 7474, 895, 1832, 2332, 3323, 5085, 5677, 6614, 8018, 641, 1349, 2736, 3973, 4807, 5886, 6574, 7457, 955, 1944, 2944, 3961, 4334, 5908, 6776, 7917, 610, 1399, 2868, 4152, 4429, 5911, 6702, 7717, 645, 1978, 2716, 3955, 4212, 5436, 7220, 7658, 271, 1141, 2134, 3717, 4333, 6146, 7018, 7488, 610, 1873, 3150, 4115, 4200, 5749, 6258, 7574, 401, 1387, 2291, 3912, 5166, 5233, 7217, 8195, 955, 1486, 2530, 3584, 4981, 5567, 7217, 8070, 104, 1318, 2858, 3909, 4476, 6175, 6734, 7723, 1090, 1974, 2373, 3437, 4545, 5752, 6858, 8054, 1090, 2117, 3040, 3578, 5089, 6063, 7037, 7992, 1025, 1773, 2173, 4143, 5135, 5893, 6791, 7822, 610, 1833, 3003, 3162, 4324, 5611, 6350, 7753, 887, 1540, 3143, 3479, 4289, 5654, 6619, 7648, 1090, 2084, 2716, 3420, 5012, 6000, 6584, 7827, 610, 1436, 2212, 3766, 4531, 5844, 6224, 7750, 992, 1160, 2173, 3395, 4219, 6113, 7154, 7954, 938, 1351, 2373, 4165, 4818, 5759, 6716, 7576, 662, 2050, 2348, 3964, 4373, 5930, 6476, 8270, 1067, 2050, 2911, 3513, 5101, 6141, 6521, 8140, 770, 1919, 2945, 3388, 4612, 5695, 6619, 7381, 504, 2050, 2394, 3467, 4604, 5696, 7010, 8048, 1067, 1749, 3040, 3668, 4873, 5351, 6913, 7693, 776, 1943, 2373, 4024, 4653, 5631, 6612, 7737, 981, 1469, 2470, 3814, 4245, 6145, 6434, 8190, 643, 1192, 3040, 3741, 5130, 5796, 6945, 7746, 110, 1609, 2373, 3732, 4646, 5486, 7080, 7799, 981, 1469, 2873, 3216, 4953, 5561, 6733, 8117, 776, 1503, 2615, 3305, 5005, 6071, 6533, 8015, 938, 1898, 2512, 3810, 4800, 5657, 6617, 8151, 938, 1468, 2751, 4037, 4213, 5496, 6470, 7650, 938, 1399, 2346, 3352, 4404, 5978, 7198, 8159, 938, 1550, 2762, 3986, 4346, 5365, 6887, 7975, 938, 1858, 2941, 3964, 4493, 5965, 6935, 7962, 940, 1942, 2515, 4074, 4816, 6204, 6603, 8231, 970, 1164, 2678, 3410, 4288, 5768, 6654, 7248, 970, 1858, 2508, 3671, 4849, 6002, 6978, 7959, 211, 1847, 2515, 3645, 5169, 6195, 7084, 7736, 1081, 1269, 2783, 3191, 5129, 6014, 7084, 7887, 308, 2000, 2946, 3703, 4912, 5935, 6382, 7582, 804, 1998, 2947, 3671, 4551, 5832, 6996, 8260, 1099, 1467, 2838, 4170, 5159, 6129, 6996, 8260, 818, 2041, 3110, 3990, 4782, 5883, 7239, 8147, 488, 1508, 2164, 4174, 4366, 6139, 6979, 8147, 488, 2017, 3117, 3367, 4980, 6139, 7239, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 45, 66, 5, 76, 11, 78, 5, 43, 35, 5, 54, 39, 29, 35, 5, 66, 73, 5, 28, 48, 5, 42, 63, 39, 66, 41, 16, 52, 5, 16, 54, 30, 5, 42, 69, 30, 5, 66, 16, 76, 20, 63, 30, 78, 5, 33, 54, 47, 5, 76, 17, 54, 5, 43, 73, 5, 76, 11, 78, 5, 42, 69, 30, 35, 5, 64, 48, 53, 30, 5, 42, 69, 30, 66, 56, 5, 43, 35, 5, 5, 3, 945, 1528, 2806, 4071, 4704, 6211, 6752, 8147, 201, 1528, 2914, 3825, 4624, 6139, 7077, 8147, 142, 1528, 2914, 3825, 4624, 6186, 7226, 8147, 915, 1648, 2164, 3825, 5058, 5635, 7077, 7715, 789, 1827, 2593, 4135, 4954, 6205, 7058, 7908, 346, 1164, 2865, 3930, 4305, 5523, 6632, 7917, 920, 1782, 2492, 3751, 5031, 5729, 6325, 8220, 825, 1459, 2574, 3792, 4574, 5952, 7030, 7858, 211, 1112, 2560, 4037, 4598, 5259, 6627, 8132, 859, 1608, 2783, 3827, 4967, 5438, 6515, 7876, 617, 2097, 2167, 4026, 5115, 6048, 6604, 7261, 878, 2068, 3043, 4168, 5150, 5910, 7043, 7896, 105, 1340, 2659, 4166, 5134, 5944, 6404, 7508, 684, 1623, 2708, 3873, 5159, 5210, 7132, 7949, 804, 2127, 3007, 4145, 4583, 5863, 7090, 7303, 512, 1675, 2833, 4064, 4179, 5892, 7239, 7664, 401, 1370, 3143, 4174, 5139, 6163, 6884, 7627, 373, 1873, 2895, 3556, 4287, 5944, 6272, 8237, 1016, 1306, 2743, 3983, 4374, 5534, 6604, 7616, 992, 1306, 2175, 3954, 4773, 5875, 6903, 7789, 806, 1608, 2429, 3612, 4841, 5321, 7169, 7476, 620, 1139, 2378, 3446, 5031, 5279, 6663, 7765, 1035, 2065, 2987, 3423, 4364, 5795, 6426, 7924, 825, 2002, 2271, 3564, 5188, 5795, 6742, 8012, 699, 1286, 2683, 3891, 4231, 5325, 6248, 8266, 225, 1851, 2792, 3838, 4490, 5267, 6474, 7383, 225, 1386, 2659, 4113, 5007, 5767, 6671, 8130, 183, 1386, 2156, 3374, 4780, 5514, 7059, 8061, 153, 1326, 2775, 4106, 5135, 5944, 6338, 8164, 833, 2111, 2783, 3550, 5061, 6146, 6840, 7690, 216, 1939, 2959, 3922, 4555, 5573, 6382, 7290, 1035, 1534, 2326, 3162, 5143, 5220, 6962, 7794, 386, 2088, 2641, 3231, 5022, 6101, 6291, 7397, 643, 1650, 2163, 3271, 5189, 5714, 6604, 7631, 970, 1688, 2429, 3287, 4335, 5479, 6588, 7602, 150, 1758, 2679, 3543, 4347, 5265, 6884, 7674, 643, 1758, 2946, 3511, 4981, 6026, 7220, 7962, 504, 1758, 2151, 4159, 4845, 6163, 6702, 7778, 678, 1494, 2926, 3340, 5159, 5705, 6850, 7476, 304, 1363, 2167, 3910, 4966, 6175, 6709, 7386, 940, 1794, 2444, 3932, 5165, 5981, 7085, 7948, 1056, 1773, 2989, 3908, 5080, 6156, 6668, 8267, 678, 1721, 2991, 3909, 4925, 6195, 7006, 7816, 955, 1700, 2991, 3803, 5129, 6014, 6709, 8267, 955, 1771, 3043, 4150, 5080, 5705, 6752, 7949, 1056, 1998, 2838, 3540, 5115, 6014, 6709, 7806, 1056, 1998, 2838, 3945, 5106, 5901, 7168, 8066, 1081, 1773, 3101, 3516, 4470, 5493, 7111, 8260, 288, 1630, 2746, 3983, 4592, 6007, 7084, 8260, 940, 1915, 3098, 3776, 4533, 5981, 7007, 7664, 390, 2068, 2803, 3472, 5129, 6208, 6752, 7706, 304, 1998, 2167, 4027, 4276, 5901, 7201, 7720, 216, 1982, 2746, 3575, 5061, 5210, 7222, 8267, 986, 1935, 2726, 3645, 4541, 5366, 6507, 7490, 807, 2024, 3125, 3991, 4467, 5387, 6504, 8170, 545, 1178, 2683, 3276, 4743, 5730, 7220, 8254, 938, 1928, 2872, 3298, 4855, 5424, 6850, 7873, 1011, 1829, 2156, 4066, 5026, 6119, 6224, 7674, 231, 2102, 2436, 3272, 5193, 6155, 6768, 7827, 401, 1621, 2515, 4137, 4458, 6046, 6709, 7602, 216, 1912, 2750, 3516, 4586, 6010, 6640, 8149, 401, 1633, 2991, 3975, 5061, 5441, 6888, 7592, 804, 1675, 2803, 3205, 4622, 5963, 6671, 7466, 512, 1750, 2880, 3710, 4622, 5883, 6786, 8083, 818, 2068, 2838, 4174, 4782, 5832, 7239, 8066, 956, 1847, 2960, 4145, 4782, 6129, 7006, 8147, 1099, 1705, 3110, 4174, 4287, 5678, 6996, 8260, 183, 1623, 2941, 3866, 5134, 5678, 6486, 8128, 568, 1674, 2718, 3832, 4493, 5548, 6848, 7962, 568, 2013, 2946, 3931, 4762, 5827, 6251, 8102, 568, 1510, 2302, 3785, 4622, 5441, 7095, 7717, 757, 1510, 2131, 3746, 4459, 5643, 6728, 8128, 617, 1286, 2506, 3550, 5083, 6137, 6430, 7715, 859, 2111, 3133, 3374, 4789, 5548, 7181, 7715, 308, 1705, 3095, 3550, 4870, 5978, 6410, 8076, 1033, 2107, 2833, 3884, 4214, 5485, 7207, 7723, 643, 1635, 2591, 3261, 4609, 5960, 7181, 7980, 992, 1323, 2548, 3370, 4788, 5658, 6611, 7367, 620, 1268, 2548, 3605, 4834, 5810, 6770, 8232, 981, 1107, 2740, 4155, 4276, 6109, 6550, 7721, 981, 1758, 2636, 4150, 4476, 5643, 6465, 7985, 770, 1510, 2547, 3613, 4277, 5608, 6875, 8078, 235, 2095, 2741, 4041, 4973, 5610, 6349, 7291, 913, 1743, 2775, 3885, 4282, 5643, 6284, 8236, 981, 1555, 2741, 3544, 4668, 6171, 6877, 8270, 643, 1510, 2576, 3976, 4987, 5927, 6610, 7536, 970, 2111, 3030, 4083, 5183, 5819, 7139, 7256, 1081, 1399, 2378, 3420, 4835, 6123, 6588, 8213, 405, 2068, 2959, 3771, 4589, 5212, 6775, 7631, 552, 1807, 2598, 3440, 4297, 5835, 6642, 8085, 552, 1705, 2946, 4166, 4533, 5526, 7162, 7732, 935, 2111, 3064, 3886, 4782, 6123, 7207, 8066, 935, 2017, 3110, 4085, 4276, 6195, 7201, 7706, 186, 1508, 2914, 3645, 4888, 5210, 7077, 8107, 186, 2017, 2806, 3886, 4980, 5901, 6972, 8223, 935, 2111, 2880, 4068, 4888, 5534, 7120, 8223, 186, 2111, 3065, 3188, 5165, 6186, 6794, 8223, 915, 2017, 2914, 3891, 4798, 6186, 7226, 8080, 915, 2017, 2914, 3891, 4798, 6186, 7226, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 105, 1320, 2858, 4113, 4387, 5865, 6515, 7664, 225, 1304, 2941, 4068, 4870, 5548, 7090, 7563, 617, 1684, 2560, 3980, 4352, 5963, 6708, 7957, 685, 1935, 2793, 3298, 5012, 5771, 7090, 7534, 1071, 1280, 2708, 4074, 4402, 5471, 7033, 7440, 390, 1897, 2895, 3440, 4980, 5694, 6713, 8066, 390, 1620, 3064, 3776, 5060, 6211, 7207, 7948, 512, 1989, 3144, 3909, 4912, 6195, 7207, 8237, 952, 1700, 2709, 4168, 5003, 5883, 7017, 7720, 545, 1644, 2474, 3900, 4282, 5987, 6668, 7383, 850, 1561, 2156, 3258, 4509, 6178, 7035, 8236, 881, 1286, 2610, 3488, 4270, 6002, 6483, 7815, 103, 1932, 2661, 3488, 5019, 5557, 6529, 7957, 356, 1858, 2582, 3957, 4266, 6145, 6835, 8164, 914, 1858, 2315, 4085, 4582, 5580, 7132, 8083, 956, 1791, 3008, 4108, 5038, 5981, 6752, 7557, 818, 1623, 2947, 4011, 5038, 5981, 6996, 7949, 956, 1945, 3135, 4006, 4592, 5968, 7207, 8223, 915, 1622, 2946, 4108, 5038, 6175, 6786, 8080, 914, 1700, 2803, 4071, 4622, 5883, 6972, 7723, 473, 1635, 2469, 4026, 5040, 6000, 7084, 7901, 473, 1490, 2805, 3662, 4337, 5643, 6899, 7735, 967, 1332, 3092, 3511, 4583, 5970, 6871, 7593, 942, 1141, 2424, 3767, 5124, 6214, 7197, 8135, 160, 1707, 2429, 4151, 4700, 5410, 6776, 7859, 160, 1510, 2584, 3456, 4611, 5481, 6373, 7962, 319, 1510, 2925, 3578, 5015, 5885, 6298, 7645, 692, 1510, 2715, 3261, 4902, 6028, 6908, 8169, 938, 1238, 2487, 3341, 4736, 5722, 7232, 7520, 1011, 1942, 2606, 3472, 4415, 6213, 6762, 7720, 424, 2024, 2601, 3413, 4807, 5474, 6892, 8193, 571, 1164, 2593, 4168, 4789, 5821, 6627, 7396, 804, 1876, 2957, 4068, 5061, 5620, 7043, 7641, 105, 1675, 2326, 3605, 4470, 6211, 7120, 7366, 1099, 1886, 2659, 3983, 4782, 5210, 7084, 7664, 555, 2041, 2991, 4145, 4859, 5586, 7152, 8147, 617, 1750, 2340, 3945, 4622, 5219, 7162, 7723, 256, 1971, 3144, 3487, 4225, 6163, 7010, 7664, 256, 2111, 2340, 3914, 4622, 5219, 6486, 8126, 256, 1847, 2473, 3932, 5124, 5767, 7152, 7806, 256, 1851, 2970, 4026, 4529, 5643, 7207, 7715, 256, 2073, 2473, 4083, 5080, 5210, 6604, 7959, 878, 1648, 3095, 4113, 4622, 5837, 7114, 7303, 878, 1750, 2340, 3886, 4622, 5908, 7002, 7677, 475, 2073, 3006, 4006, 5159, 6085, 6740, 8261, 555, 1623, 3065, 3893, 4704, 5981, 7090, 8130, 555, 2017, 2164, 4174, 4782, 5643, 6752, 7723, 571, 2032, 2254, 3866, 5060, 6175, 6786, 7876, 1033, 1982, 2860, 3742, 4389, 5314, 7047, 7846, 1022, 1873, 3060, 3507, 4902, 6147, 6776, 8039, 1016, 2117, 2721, 3954, 4555, 6005, 6429, 8054, 961, 1809, 2198, 3302, 4205, 5835, 6615, 7706, 1011, 1478, 2469, 3434, 4668, 5301, 6244, 8031, 1016, 1335, 3056, 3880, 4997, 5715, 6700, 7288, 1011, 1370, 2541, 3847, 4457, 6002, 6272, 7478, 1016, 1974, 3112, 3214, 4706, 5405, 6344, 7640, 692, 1469, 2518, 3719, 4244, 5739, 6718, 8255, 938, 1469, 2423, 3399, 4836, 5486, 6625, 7941, 1011, 1524, 2485, 3520, 4298, 6002, 6912, 7787, 961, 1524, 2945, 3868, 4437, 5360, 6648, 7648, 1035, 1621, 2173, 3816, 4593, 5563, 6229, 7975, 1047, 1407, 2774, 3563, 4865, 5660, 6722, 7728, 512, 1856, 2534, 3516, 4512, 6211, 6840, 7476, 935, 1475, 3143, 3983, 5104, 6175, 6891, 7768, 935, 1175, 3008, 3886, 5060, 5630, 7132, 7806, 818, 1845, 3110, 4085, 4867, 5586, 7111, 7557, 935, 2017, 2164, 4114, 5080, 6139, 6794, 7631, 935, 1847, 2340, 3891, 4870, 5661, 6677, 8260, 552, 2127, 2560, 3188, 4912, 5892, 7168, 8179, 617, 1286, 2858, 3891, 4549, 5811, 6612, 7939, 859, 1756, 2775, 4006, 5040, 5987, 6515, 8126, 555, 2065, 2858, 4006, 5160, 5901, 6752, 8196, 105, 2106, 2856, 3595, 4622, 5563, 6953, 7397, 555, 2106, 3144, 3595, 4181, 5811, 6988, 8213, 555, 1648, 2858, 3595, 4622, 5767, 7129, 8237, 915, 2106, 2806, 3803, 4870, 5635, 6988, 8223, 555, 2032, 2833, 3825, 5060, 5635, 7077, 7485, 488, 1622, 2914, 3893, 5060, 6139, 7124, 8147, 860, 1528, 2164, 3825, 4624, 6139, 7077, 8260, 488, 1528, 2914, 3893, 4624, 5635, 7084, 7766, 489, 1825, 2729, 3413, 4460, 6111, 6937, 7706, 581, 1889, 2856, 3292, 4876, 5339, 6783, 7632, 856, 1960, 2172, 3413, 4598, 5363, 6835, 8020, 995, 1778, 2144, 3390, 4636, 6089, 6244, 7986, 504, 1692, 2931, 4037, 4924, 6217, 6965, 8027, 955, 1280, 2315, 4098, 4565, 6046, 6734, 7951, 643, 1562, 2429, 3776, 4588, 5797, 6818, 7421, 150, 1717, 2946, 4115, 4833, 5687, 7112, 7421, 216, 1777, 2733, 3201, 4191, 5534, 7207, 7533, 401, 1992, 2726, 4145, 5106, 6205, 7207, 8179, 940, 1777, 3043, 4145, 4179, 5378, 6774, 8195, 804, 1998, 3135, 4145, 4782, 6195, 7168, 7723, 804, 2068, 3043, 4093, 5104, 6070, 6809, 8179, 804, 1847, 3043, 3271, 5165, 5796, 7218, 8237, 804, 2068, 3022, 4071, 4630, 6014, 7058, 8066, 100, 1797, 2469, 4124, 4789, 5407, 7162, 7484, 948, 1682, 3007, 3407, 5139, 5713, 6315, 7845, 1006, 2066, 3059, 4073, 5088, 5851, 6871, 7868, 1024, 1480, 2282, 3547, 4379, 5904, 7177, 8079, 547, 1740, 2133, 4010, 4246, 5898, 6590, 7910, 692, 1562, 2137, 3430, 4672, 6118, 6871, 7567, 1101, 1826, 2940, 3271, 4502, 5814, 6565, 8097, 643, 1510, 2183, 3975, 4672, 5523, 7066, 7954, 1090, 1280, 2802, 3248, 5088, 5366, 6846, 7961, 804, 1540, 2783, 3982, 4955, 5767, 7095, 7992, 804, 1992, 2450, 3932, 5104, 6195, 7023, 7764, 1056, 1369, 3007, 3909, 4895, 6058, 6646, 8195, 804, 1508, 3007, 3671, 5061, 5883, 7084, 7570, 914, 2068, 3064, 3886, 4551, 5832, 6979, 8179, 956, 2001, 2960, 3188, 4912, 6131, 7006, 8076, 1020, 1706, 2988, 3543, 4682, 5341, 7157, 7958, 874, 1332, 2946, 3851, 4592, 5863, 6607, 8050, 153, 2002, 2987, 3922, 4615, 5613, 6740, 8266, 552, 1874, 3095, 3487, 4555, 5963, 6589, 7717, 914, 2073, 2960, 4018, 4282, 6066, 7237, 7865, 955, 1827, 3038, 4027, 5129, 5695, 7090, 8078, 1024, 1660, 2993, 4035, 5114, 5380, 6546, 8085, 917, 1682, 2979, 4016, 5023, 5941, 6685, 7644, 150, 1624, 2979, 3868, 4343, 5733, 6716, 8009, 1001, 1771, 2987, 3318, 5018, 6056, 6975, 8222, 1001, 1771, 2741, 3909, 4390, 5929, 7164, 8268, 761, 1571, 2987, 3897, 4226, 5640, 6335, 7379, 761, 1924, 2741, 3398, 4369, 6068, 6430, 8006, 487, 1158, 2741, 3819, 4623, 5707, 7049, 8005, 487, 1510, 2677, 3680, 4743, 5471, 6605, 7948, 833, 2046, 2858, 3472, 5120, 5204, 6611, 8261, 684, 2063, 3098, 4168, 5080, 6070, 6771, 7260, 228, 1426, 3018, 4089, 4872, 6056, 7132, 7883, 195, 1440, 2238, 4037, 4918, 5599, 6844, 7588, 228, 2111, 3018, 3686, 5115, 5678, 6909, 7870, 228, 2000, 2924, 3726, 5079, 5500, 6863, 8066, 887, 1382, 2167, 3251, 4966, 5210, 6840, 8080, 103, 1726, 2593, 3970, 5075, 6149, 6437, 7598, 811, 1220, 3018, 4132, 4902, 6043, 6755, 8102, 1038, 2034, 2222, 3790, 4476, 5408, 7203, 7944, 886, 2108, 2731, 3188, 4191, 6142, 7101, 7973, 702, 1755, 2515, 3300, 4970, 6097, 6905, 7261, 511, 1541, 2579, 3423, 4224, 5659, 6860, 7685, 545, 1450, 3048, 3563, 4497, 5770, 6762, 7906, 545, 1498, 2660, 3648, 4279, 5752, 6813, 7973, 731, 1236, 2660, 3635, 4942, 5360, 6627, 7727, 731, 1446, 3064, 3374, 4724, 6063, 6251, 7313, 767, 1608, 3053, 4025, 4782, 6211, 6979, 8179, 216, 1244, 3144, 3832, 4852, 5904, 6333, 7772, 545, 2091, 2142, 3253, 4274, 5600, 6651, 7271, 582, 1178, 2506, 4120, 5043, 5782, 6648, 7438, 986, 1608, 2940, 3623, 4966, 6004, 6980, 7752, 547, 1550, 2638, 3245, 4522, 5438, 7076, 7627, 504, 1778, 2595, 3952, 4364, 5565, 6292, 7941, 386, 1806, 2890, 3376, 5011, 5472, 7129, 8248, 504, 1759, 2842, 3376, 5088, 6130, 6816, 7794, 643, 2035, 2728, 3916, 4225, 5981, 6405, 7677, 1090, 2035, 2347, 3886, 5085, 5547, 6953, 7677, 1102, 1399, 2803, 3961, 5088, 5515, 7218, 7764, 1037, 1791, 2299, 3982, 4670, 6051, 6630, 7795, 390, 1620, 3135, 3681, 4630, 5305, 6630, 7948, 940, 1989, 2803, 4097, 5060, 5705, 6920, 7822, 610, 1275, 2721, 3681, 4179, 5767, 7217, 8260, 1016, 1919, 2369, 3908, 4758, 5288, 6613, 7260, 938, 1179, 2721, 3895, 4774, 5631, 7159, 7476, 981, 1469, 2741, 3615, 4404, 6085, 6470, 7939, 803, 2095, 2698, 3616, 4729, 6217, 6762, 8220, 763, 1955, 2979, 3159, 5111, 5253, 6494, 7739, 265, 1983, 2721, 3906, 4620, 5985, 7179, 7856, 508, 1669, 2396, 3214, 4214, 5516, 6352, 8017, 691, 2043, 2591, 3735, 4384, 5441, 6781, 7695, 913, 1139, 2979, 3422, 4945, 6123, 7154, 8068, 1011, 1773, 2740, 4112, 4478, 5339, 7033, 7825, 1090, 1932, 2440, 3840, 4592, 5911, 6736, 7658, 610, 1577, 2436, 3537, 4592, 5694, 6899, 7584, 424, 1932, 2429, 3819, 4179, 6131, 6648, 8070, 955, 2068, 2957, 3246, 4470, 6051, 7207, 7720, 1079, 1683, 2730, 3710, 4366, 6131, 7207, 7723, 709, 2111, 3022, 3430, 4191, 6195, 7207, 7959, 1037, 1175, 2959, 3533, 4954, 6103, 7098, 7421, 390, 1139, 3007, 3987, 4337, 6175, 6996, 8083, 955, 2009, 2925, 3945, 4822, 6205, 6589, 8260, 1035, 1670, 2282, 4171, 4764, 6000, 6264, 7494, 1025, 1630, 2282, 3727, 4764, 5726, 6814, 7449, 1029, 1838, 2444, 3788, 5042, 5884, 6962, 7458, 643, 2061, 2985, 3962, 5122, 6196, 6677, 7557, 1081, 1543, 2965, 4047, 4447, 6007, 7162, 7895, 610, 2035, 2554, 3811, 5041, 5694, 7010, 7677, 940, 1350, 2985, 3495, 4713, 5515, 7059, 7594, 961, 2035, 2469, 3516, 4458, 5590, 6566, 7623, 1005, 1874, 3143, 3325, 4859, 5586, 7003, 7943, 1005, 1402, 3092, 3929, 5084, 5222, 7092, 7759, 887, 2084, 2503, 4102, 4565, 5830, 6998, 7386, 986, 1557, 2708, 3162, 5088, 5787, 7240, 8043, 986, 1826, 2293, 3442, 4959, 6213, 6982, 7389, 952, 1721, 2306, 3264, 4933, 6208, 7119, 8189, 317, 1171, 2830, 3788, 4640, 5810, 7241, 8036, 228, 1340, 3053, 4074, 4949, 5684, 6626, 7660, 228, 1543, 2718, 3967, 5183, 6041, 7152, 8236, 228, 1946, 2506, 3376, 4191, 6063, 6757, 7355, 105, 1139, 3038, 3726, 4764, 5385, 6966, 7477, 818, 1540, 3008, 3550, 4925, 6211, 6604, 8083, 419, 1945, 2960, 3391, 4630, 6063, 7132, 8164, 915, 1528, 2947, 4011, 4859, 5694, 7077, 7563, 956, 1791, 3135, 4108, 5061, 6081, 7069, 7782, 308, 1681, 2903, 4174, 4583, 6182, 7239, 7557, 1062, 1509, 2659, 3662, 4852, 5577, 7012, 8174, 1033, 1562, 2163, 3848, 4834, 6163, 7111, 7887, 386, 1860, 3092, 3392, 5120, 6195, 7173, 8247, 150, 2053, 2274, 3475, 5124, 5221, 6502, 7857, 150, 1674, 2716, 3480, 4322, 5683, 6728, 7911, 1084, 1838, 2877, 3869, 4324, 6119, 7017, 8039, 1090, 1617, 3149, 4073, 4364, 5902, 7241, 8027, 1024, 1833, 3116, 3878, 5124, 6171, 6710, 7924, 913, 1972, 2515, 4172, 4321, 5862, 6269, 7624, 970, 1141, 2860, 4027, 4881, 6085, 7207, 7881, 970, 1175, 2293, 4145, 4364, 5550, 6382, 7494, 1011, 1557, 2564, 4011, 4825, 6087, 6734, 7690, 1005, 2008, 2940, 3192, 4321, 5444, 7218, 8103, 641, 1510, 2481, 3869, 4338, 5917, 6965, 7707, 1084, 1510, 2399, 4067, 5052, 5640, 6875, 8064, 512, 1992, 2792, 3956, 5104, 6222, 6688, 8099, 308, 1773, 2895, 3826, 5053, 5832, 7006, 7664, 211, 2079, 2991, 3226, 5159, 5241, 7132, 8223, 804, 2046, 3006, 3891, 4630, 6195, 6988, 7485, 512, 1591, 2947, 3891, 4782, 6103, 7058, 8267, 1062, 1118, 2550, 3582, 5007, 5250, 6668, 7702, 839, 1653, 2487, 4030, 4427, 6002, 6800, 7702, 692, 1349, 2187, 3368, 4934, 5276, 7112, 7405, 693, 1496, 2826, 4037, 4417, 5931, 7129, 7689, 776, 1557, 2453, 3736, 4848, 6163, 7004, 7939, 804, 2111, 2880, 3374, 4630, 6051, 6891, 8126, 1099, 1845, 2932, 3891, 4276, 5865, 6810, 7664, 935, 1847, 2996, 3973, 4704, 5550, 7218, 8076, 935, 1945, 3095, 4145, 4822, 6131, 7201, 7485, 935, 2111, 2991, 3982, 5104, 6129, 7077, 7806, 915, 1856, 2970, 3825, 5165, 6211, 6979, 7664, 475, 1756, 2775, 3374, 4583, 5219, 7168, 7806, 617, 1756, 2775, 3374, 5129, 5514, 7218, 7485, 617, 1974, 2918, 3361, 5083, 5908, 6717, 7948, 617, 2111, 2880, 3374, 5159, 5514, 6889, 7907, 105, 2106, 2356, 3595, 4398, 5548, 6633, 7664, 617, 1974, 3064, 3595, 4890, 5413, 6752, 7806, 617, 1600, 2775, 3348, 4918, 5809, 7069, 8261, 617, 1750, 2918, 3874, 4512, 5378, 6752, 7806, 617, 1750, 2221, 3891, 4622, 5550, 6809, 7303, 105, 2106, 2669, 3595, 4512, 5514, 7090, 7643, 552, 2127, 2221, 3933, 4737, 5219, 6813, 7349, 105, 2111, 2221, 3891, 4583, 5548, 7077, 8262, 552, 1756, 2340, 3374, 4681, 5515, 7120, 7664, 555, 2065, 2221, 3374, 4583, 5241, 7100, 7303, 552, 2065, 2869, 3873, 4225, 5981, 6578, 7264, 186, 2065, 3021, 3374, 5127, 5832, 6612, 7838, 337, 2032, 2340, 3873, 4512, 5892, 6677, 8083, 337, 1750, 2806, 4171, 4624, 5359, 7124, 7766, 337, 1833, 3143, 3803, 4888, 5910, 6515, 7591, 860, 1528, 3143, 3803, 5058, 5832, 6752, 8147, 818, 2046, 2957, 3990, 4822, 5635, 7077, 8223, 150, 1981, 2549, 3880, 4728, 5540, 7120, 7918, 1045, 1271, 2721, 3152, 4846, 6062, 7193, 7689, 993, 1106, 3001, 3415, 4497, 5775, 6681, 7255, 320, 1350, 2973, 3711, 4408, 6114, 7205, 7917, 814, 1290, 2209, 3536, 4214, 5833, 6682, 8156, 802, 2070, 3033, 3808, 4462, 6199, 6391, 7794, 759, 1858, 2394, 3711, 4765, 5910, 7072, 7457, 1102, 1865, 2652, 3838, 4808, 5231, 6732, 8151, 390, 1596, 2381, 3512, 4622, 6103, 7207, 7962, 857, 1596, 3095, 3920, 4347, 5493, 7207, 8066, 225, 1856, 2175, 3990, 4945, 5968, 6225, 7949, 225, 1851, 3022, 3891, 4775, 5767, 6895, 7880, 654, 1345, 2783, 4103, 4214, 5580, 6740, 8241, 195, 1424, 2661, 3337, 4859, 5493, 6579, 8195, 127, 2078, 2469, 3914, 5052, 6175, 7069, 8061, 518, 1851, 2469, 3218, 4630, 5296, 6852, 7876, 127, 2106, 2959, 3555, 4512, 6110, 6338, 8093, 127, 2111, 2454, 3891, 5139, 6175, 7207, 7949, 654, 2060, 2839, 3391, 4996, 5624, 6486, 7664, 654, 2127, 2992, 4145, 4398, 6182, 6724, 7707, 518, 2127, 3018, 4106, 4622, 5219, 6291, 7303, 256, 2106, 2654, 4168, 4700, 5892, 6979, 8261, 645, 1480, 2542, 3751, 5079, 5548, 7047, 7906, 408, 1905, 2411, 3766, 4258, 5584, 7150, 7913, 856, 1277, 2741, 3709, 4280, 5461, 6762, 7528, 613, 1928, 2579, 3298, 4669, 5760, 6899, 8133, 987, 1244, 2759, 3751, 4421, 5257, 7003, 8150, 582, 1777, 2710, 3723, 4626, 6117, 6701, 7442, 545, 1415, 2741, 4126, 4298, 5653, 7197, 7362, 613, 1120, 2741, 3855, 4916, 5441, 7035, 7453, 504, 1633, 3063, 3601, 4215, 5760, 7065, 7887, 678, 1782, 2156, 3164, 4966, 5893, 6612, 8227, 643, 1948, 2429, 3243, 4982, 5441, 6619, 7641, 150, 1717, 3043, 3710, 4793, 5538, 6286, 8078, 1025, 1562, 3020, 3803, 5011, 5950, 7152, 7641, 678, 1831, 3026, 4168, 4651, 5637, 6972, 7976, 955, 1782, 2429, 4093, 5125, 5864, 7207, 7355, 150, 1773, 2750, 3410, 4983, 6085, 6830, 7643, 887, 1782, 2629, 3410, 4670, 5534, 7084, 8107, 104, 1935, 2389, 3390, 4831, 5911, 6225, 7810, 850, 1935, 2391, 3949, 5088, 5765, 7008, 7260, 826, 1797, 2563, 3410, 5083, 5589, 6565, 7842, 887, 1944, 2946, 3282, 4191, 6164, 6804, 7811, 663, 1809, 2946, 4152, 4586, 5901, 6736, 7806, 211, 1992, 2429, 4114, 4368, 5966, 6298, 8141, 804, 2095, 2946, 4152, 4630, 5883, 6996, 7876, 175, 1238, 2802, 3720, 4441, 5919, 6650, 7367, 160, 2024, 2614, 3213, 4620, 6016, 6736, 8213, 390, 1275, 2946, 3978, 4877, 5385, 6804, 7627, 955, 1581, 2912, 3796, 4682, 5210, 6338, 7279, 804, 1847, 3064, 4174, 4533, 6123, 6786, 8179, 308, 2046, 2895, 3803, 5038, 5635, 6972, 8267, 804, 1705, 3007, 3961, 5058, 6081, 7239, 8267, 512, 1591, 2947, 3982, 5080, 6085, 7006, 7887, 288, 2063, 2924, 3961, 5060, 6085, 6786, 7641, 512, 1945, 2783, 3516, 4583, 5883, 7006, 8260, 308, 1467, 3135, 4068, 5104, 5883, 6996, 7948, 100, 1939, 3046, 3533, 5098, 6123, 7015, 7767, 160, 1509, 2797, 4005, 4494, 5892, 6283, 7503, 887, 1572, 2440, 4168, 4555, 5210, 6646, 7386, 299, 1858, 2573, 3707, 4807, 5418, 6947, 8263, 807, 1721, 3150, 3442, 4616, 5212, 6803, 8197, 104, 1838, 2719, 3968, 5091, 5379, 6663, 7537, 1024, 1915, 2387, 4168, 5074, 6080, 6299, 7955, 887, 1867, 2814, 3488, 4644, 5610, 7207, 7428, 938, 2063, 2860, 4162, 5175, 6002, 7233, 7515, 1011, 1944, 2175, 4171, 4912, 5981, 6929, 7622, 1024, 2024, 2330, 3427, 4872, 6000, 6820, 7733, 678, 1825, 2503, 3904, 4782, 5534, 6840, 7542, 678, 1518, 2987, 3407, 5139, 5474, 6772, 8164, 1011, 1557, 2345, 4126, 5018, 5584, 6238, 7992, 1011, 1389, 2987, 3904, 4457, 6128, 6448, 7631, 1011, 1510, 2345, 3962, 4483, 5662, 7061, 7303, 1011, 1510, 2439, 3581, 4555, 5303, 6613, 7311, 403, 1886, 2783, 3900, 4743, 5586, 7019, 7962, 804, 2111, 3007, 4096, 5026, 5704, 6715, 7985, 1097, 1675, 2924, 3540, 5159, 6129, 7201, 8236, 684, 1399, 3053, 4011, 5104, 5241, 6709, 7908, 804, 1620, 3006, 3226, 4849, 5824, 6589, 8237, 308, 2046, 3064, 4085, 4583, 5635, 6979, 7806, 684, 1791, 2803, 4011, 4551, 5612, 7006, 7949, 103, 1601, 2860, 3516, 5083, 5990, 6243, 7838, 981, 1915, 2151, 3434, 4440, 5490, 6333, 7476, 913, 1653, 2924, 3292, 4902, 5723, 6693, 7709, 715, 1653, 2527, 3824, 5143, 5865, 7055, 7919, 1051, 1139, 2951, 3900, 4538, 6131, 7247, 7720, 308, 1175, 2724, 3374, 4954, 6119, 7085, 7349, 956, 1963, 2746, 3891, 4387, 5590, 7017, 7899, 1097, 1349, 2838, 3564, 5134, 6085, 7222, 7723, 818, 1847, 2949, 4108, 4888, 5705, 6786, 7485, 201, 2017, 2781, 3188, 4704, 5901, 6794, 7806, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7226, 7766, 488, 2017, 2164, 3893, 4624, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 7766, 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, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8196, 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, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 105, 2098, 2970, 3374, 4918, 5811, 6614, 7677, 334, 2077, 3143, 3277, 4225, 5550, 6291, 8150, 757, 2111, 2987, 3566, 5120, 5549, 6589, 7806, 403, 1773, 3026, 3987, 5138, 5883, 6924, 7488, 1033, 1509, 2561, 3241, 5011, 5441, 7053, 7906, 1071, 1554, 2436, 3316, 5020, 5788, 6793, 8261, 1071, 1682, 2661, 3610, 4583, 6119, 7237, 7309, 1071, 1833, 2369, 4064, 5117, 5911, 6998, 8186, 750, 1770, 3108, 3987, 4487, 5613, 6803, 7303, 752, 1833, 2291, 3866, 4952, 5946, 6540, 7902, 863, 1833, 2567, 3920, 5187, 5705, 6900, 7594, 959, 1591, 2340, 3916, 5088, 5586, 7006, 8245, 863, 1173, 2533, 4006, 4782, 5850, 6591, 8266, 959, 1591, 2340, 3932, 5012, 5456, 6671, 7583, 891, 1141, 2629, 3487, 4470, 5890, 7228, 7948, 750, 1363, 2957, 3932, 5080, 6146, 6589, 8185, 650, 1509, 2793, 3710, 4536, 6146, 7149, 7677, 1071, 1455, 2586, 3710, 4859, 6141, 7084, 7574, 692, 1168, 2923, 3962, 4568, 5652, 6719, 7259, 1080, 1826, 3145, 3613, 4464, 5592, 7223, 7610, 665, 1826, 2480, 3312, 4692, 6084, 6803, 7538, 806, 1858, 2881, 4005, 4872, 5774, 6894, 7687, 913, 1507, 2771, 3771, 4864, 6066, 6474, 8073, 1081, 1327, 2429, 3899, 4352, 5947, 7023, 7490, 1022, 1758, 2941, 3759, 4902, 5934, 6842, 7387, 1001, 1758, 2938, 3993, 4450, 5684, 6265, 8201, 779, 1189, 2941, 3873, 4536, 5760, 7006, 8015, 1056, 2065, 2801, 4038, 4980, 5604, 6563, 8034, 603, 1758, 2187, 4168, 4555, 5746, 6973, 7515, 403, 1508, 2440, 3262, 5129, 6204, 6667, 7901, 403, 1876, 2895, 3246, 4555, 6204, 6901, 8090, 1051, 1962, 2378, 4103, 4759, 5844, 6324, 7716, 171, 1557, 2941, 3733, 4609, 5536, 7197, 8016, 403, 1663, 2440, 3231, 4181, 6216, 6638, 7743, 1091, 1758, 2941, 3908, 4622, 5436, 6670, 7899, 405, 2065, 2946, 3504, 4191, 5771, 6755, 7870, 779, 1510, 2942, 3564, 4716, 5981, 6740, 7494, 552, 1858, 2820, 3771, 4553, 5684, 7219, 8230, 484, 2111, 2363, 3771, 4555, 5590, 6891, 7838, 555, 2065, 2960, 3891, 4622, 6205, 6752, 8093, 488, 2046, 3110, 3891, 5060, 5901, 6589, 8260, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2806, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 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, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 45, 41, 5, 28, 26, 5, 29, 14, 54, 64, 5, 43, 48, 5, 76, 35, 5, 52, 33, 41, 66, 5, 16, 52, 57, 54, 5, 5, 5, 20, 63, 5, 44, 54, 5, 31, 16, 5, 30, 11, 63, 51, 5, 5, 5, 43, 45, 78, 5, 51, 63, 26, 78, 5, 76, 35, 5, 11, 41, 16, 52, 5, 5, 3, 818, 2097, 2860, 3917, 4704, 5219, 7010, 8147, 831, 1887, 2554, 3231, 4762, 6010, 7158, 8215, 582, 1206, 2601, 3394, 4486, 6067, 6764, 7784, 346, 1834, 2655, 3171, 5137, 5447, 7044, 7419, 1042, 1948, 3016, 3417, 5151, 5728, 6715, 7318, 363, 1550, 2401, 3623, 4321, 5782, 6518, 7894, 1101, 1797, 2801, 3623, 4839, 6184, 6333, 8205, 440, 1753, 3032, 3440, 5167, 5971, 6528, 7844, 518, 2030, 3130, 3811, 4945, 5519, 6713, 8017, 518, 1736, 3147, 4083, 4782, 5580, 6755, 7381, 878, 1758, 2953, 3723, 5040, 5936, 6895, 7973, 256, 2065, 3026, 3305, 5022, 5563, 7132, 7941, 256, 1707, 3026, 4153, 5148, 5892, 7152, 7948, 789, 1998, 2370, 3391, 4297, 5656, 6810, 7477, 419, 1108, 3133, 3391, 5166, 5963, 7207, 8126, 818, 1108, 3133, 4071, 5061, 6129, 7201, 8147, 488, 1622, 3117, 3367, 4555, 5705, 7207, 8196, 488, 1622, 3117, 3367, 4704, 5635, 7124, 8147, 488, 1528, 3117, 3367, 4624, 5635, 7226, 8196, 488, 1528, 3117, 3367, 4624, 5635, 7124, 7766, 915, 1622, 2164, 3914, 4798, 6186, 7124, 8260, 859, 1304, 2991, 3564, 5166, 5832, 6752, 8076, 613, 1198, 2361, 3949, 4681, 5624, 7220, 8236, 331, 1499, 2929, 3997, 4815, 5440, 6354, 8028, 866, 1199, 2901, 3295, 5071, 5304, 7164, 8026, 660, 1303, 2455, 3965, 4956, 6086, 6548, 7788, 660, 1835, 3058, 3596, 4200, 6135, 6224, 8143, 840, 1971, 2705, 3446, 4800, 6101, 6618, 7928, 1033, 1510, 2364, 4063, 5091, 5656, 6550, 7705, 1033, 1782, 2230, 3222, 5051, 5381, 6615, 7857, 1097, 1467, 2946, 3710, 4374, 5963, 6810, 8267, 186, 1705, 2834, 3873, 4551, 5968, 6752, 7717, 984, 1998, 2880, 4011, 5166, 5767, 6771, 7421, 935, 1998, 3135, 3914, 5080, 6211, 7201, 7658, 568, 1910, 3147, 3470, 4387, 5480, 6348, 7941, 334, 1452, 3018, 3711, 4926, 5549, 6840, 8209, 118, 2060, 2181, 3666, 4191, 5603, 6966, 7575, 568, 1876, 2468, 4006, 4700, 5296, 7114, 8072, 757, 1112, 2880, 3798, 4789, 5493, 7103, 7458, 153, 1304, 2803, 3550, 4863, 5844, 6810, 8179, 304, 1333, 3095, 4145, 4681, 5385, 7010, 7704, 160, 1856, 2315, 3390, 4717, 6171, 6414, 8215, 793, 2092, 2549, 4003, 4701, 5662, 6997, 7842, 793, 1104, 2355, 3770, 4639, 5828, 6371, 7879, 319, 1728, 2378, 4090, 4688, 6142, 6224, 7426, 660, 1728, 2379, 3343, 5197, 6056, 7238, 7809, 1041, 2009, 2239, 4030, 4482, 5706, 6891, 7582, 1057, 1675, 2361, 3824, 4212, 5924, 7147, 7578, 1033, 1930, 2361, 4152, 5044, 6002, 7021, 8061, 1033, 1968, 2798, 3752, 5090, 6203, 6941, 7701, 1090, 1918, 2455, 3488, 5142, 6195, 6675, 7468, 610, 1255, 2729, 3982, 4782, 5883, 7207, 7764, 1081, 1878, 2990, 3493, 4592, 5835, 7129, 8236, 1090, 1540, 2944, 3920, 5153, 5600, 6961, 7720, 804, 1791, 2820, 4152, 4470, 5844, 6668, 8126, 617, 1817, 2980, 4108, 4918, 5493, 6901, 8117, 240, 2127, 3133, 4157, 4844, 6157, 6840, 8249, 654, 2108, 2759, 3363, 5104, 5364, 6486, 7660, 654, 1826, 2473, 3470, 5080, 5378, 7091, 8262, 240, 2118, 3147, 3513, 4877, 6085, 7152, 8103, 240, 1304, 2970, 3535, 4859, 5892, 6840, 7716, 228, 2108, 2830, 3348, 4459, 5550, 7160, 7947, 256, 1684, 2869, 3407, 5048, 5402, 7232, 7811, 617, 1695, 2659, 3518, 4877, 6110, 6515, 7717, 756, 1561, 2340, 4078, 4869, 5811, 6684, 8260, 223, 1942, 2381, 3162, 5160, 6066, 6901, 7985, 448, 1834, 2533, 3424, 5040, 5823, 6772, 7972, 807, 1724, 2552, 4037, 5160, 5697, 6683, 7873, 271, 1561, 2627, 3975, 4665, 5366, 6844, 7429, 993, 1676, 2833, 3555, 4282, 5811, 6898, 8045, 778, 1509, 2129, 4155, 4350, 5745, 7168, 7682, 887, 1227, 3150, 3686, 4346, 6131, 7157, 8240, 614, 2035, 2598, 4171, 5104, 5247, 6871, 7810, 610, 1878, 3006, 4006, 4589, 5643, 7157, 7726, 1005, 2107, 2674, 3982, 5141, 6084, 6302, 7476, 569, 1924, 2520, 3401, 4883, 5788, 7214, 7831, 547, 1275, 2805, 3480, 5193, 5512, 6286, 7693, 876, 1146, 2905, 3894, 4297, 5573, 7049, 7508, 668, 1250, 2740, 4015, 5084, 6062, 7002, 7676, 692, 1674, 3106, 4154, 5031, 5491, 6885, 7770, 569, 1633, 2832, 3276, 4820, 5668, 7002, 8215, 831, 1369, 2173, 3960, 4437, 5824, 7244, 7816, 610, 1503, 3019, 4015, 5017, 5683, 6614, 7558, 104, 1183, 2716, 3668, 4216, 5810, 6239, 7785, 569, 1346, 2261, 3416, 4731, 5512, 6314, 8028, 992, 1388, 2868, 3478, 4887, 5317, 6764, 7378, 113, 1710, 2494, 4072, 4996, 5885, 6714, 7683, 803, 1490, 3088, 3635, 4705, 5362, 6948, 7299, 448, 1496, 3103, 4098, 5197, 5810, 7118, 8108, 373, 1151, 2709, 3766, 5090, 5973, 7165, 7923, 617, 1596, 2965, 3746, 4822, 6095, 7207, 7825, 256, 2111, 3006, 3364, 5169, 5953, 6901, 7828, 256, 1452, 2454, 3188, 4555, 5580, 6809, 7749, 878, 1597, 2293, 4124, 4912, 5703, 6291, 7252, 552, 1623, 2432, 3951, 4782, 5514, 7014, 7563, 860, 1791, 2754, 3825, 4704, 5219, 7201, 7485, 818, 1620, 2391, 3825, 5166, 5687, 6786, 7876, 935, 2017, 3008, 3886, 5159, 6129, 7168, 8195, 935, 2046, 2340, 3945, 4782, 5901, 7201, 7806, 421, 1752, 2190, 3785, 5034, 6213, 6715, 7746, 952, 1637, 3147, 3366, 5012, 5492, 6909, 8038, 840, 1653, 2455, 3575, 4185, 5509, 6423, 7689, 881, 1630, 2848, 3649, 4506, 5388, 7053, 8180, 535, 2043, 2248, 3707, 4941, 5401, 6348, 8140, 778, 2043, 2129, 3513, 4195, 5615, 6319, 7651, 778, 2043, 3149, 3851, 4354, 6130, 6478, 8209, 1033, 2043, 2480, 3894, 4469, 5613, 6650, 7541, 104, 1974, 2261, 3479, 4444, 5615, 6235, 8046, 952, 1915, 3061, 3478, 4955, 5534, 7157, 7996, 1011, 1974, 2797, 3851, 4932, 6033, 7085, 7803, 160, 1974, 3073, 3434, 4219, 5904, 6797, 8074, 1084, 1675, 3092, 3508, 4971, 5802, 7142, 8016, 492, 2089, 2790, 3778, 4896, 5205, 6944, 7930, 803, 2050, 2587, 3773, 4818, 5410, 6731, 7682, 1080, 1180, 2137, 3434, 4755, 5597, 7235, 8171, 988, 1199, 2146, 3517, 5011, 5792, 6736, 7598, 881, 1873, 2581, 3356, 4321, 5603, 6695, 7545, 547, 1486, 2137, 3741, 4911, 5249, 6560, 8113, 113, 1469, 2232, 3839, 4353, 5592, 6225, 8212, 1016, 2008, 2476, 3780, 5022, 6180, 6580, 7516, 864, 1897, 2953, 3685, 4337, 6080, 6521, 7908, 1024, 1873, 2205, 3156, 4458, 5325, 6519, 7624, 970, 1339, 3060, 3417, 4617, 5235, 6526, 7267, 1090, 1146, 2998, 3685, 4755, 5655, 6922, 7703, 610, 1939, 2887, 3751, 4994, 5796, 6796, 7785, 887, 1897, 2731, 3794, 4484, 5305, 6726, 8006, 641, 1945, 3001, 3192, 4501, 6106, 6633, 7290, 424, 1989, 3109, 4098, 4980, 5702, 7160, 8031, 1033, 1932, 3128, 3558, 4282, 5650, 7192, 7690, 614, 1831, 3086, 4168, 4198, 5677, 6719, 7473, 1025, 1867, 2708, 4145, 4782, 5699, 6361, 8222, 610, 1540, 2970, 4082, 4337, 5980, 6551, 8107, 1090, 1581, 3033, 3188, 5166, 5968, 6584, 8261, 1025, 2079, 2396, 4078, 5038, 6131, 7162, 7687, 610, 1577, 2582, 3776, 4861, 6195, 7129, 8034, 424, 1675, 3135, 3671, 4691, 5378, 7168, 7421, 1090, 1773, 3144, 4108, 5019, 6123, 6677, 7555, 1025, 1182, 2598, 4027, 4387, 5267, 7207, 7641, 610, 1238, 2348, 3752, 5107, 6007, 6771, 8126, 465, 1120, 3010, 4068, 4791, 6146, 6657, 8205, 691, 1897, 2979, 3793, 4499, 5332, 7103, 8117, 1063, 1873, 2173, 3895, 5096, 5325, 6796, 7296, 371, 1974, 2294, 3644, 4649, 6106, 7051, 7751, 371, 1877, 2409, 3839, 4618, 6074, 6517, 8081, 333, 1805, 2409, 3176, 5041, 5648, 6422, 8238, 1100, 1582, 2149, 3781, 4567, 5838, 6426, 7404, 778, 1205, 2458, 3779, 4805, 6170, 7169, 7703, 459, 1669, 3129, 3417, 4982, 5403, 6751, 8124, 876, 2035, 3003, 3537, 4324, 5734, 6954, 8163, 1024, 1250, 2905, 3351, 5128, 6118, 7103, 7398, 895, 1736, 2546, 3623, 4180, 5903, 6382, 8089, 271, 1517, 2369, 3581, 4495, 6183, 6461, 7971, 569, 1736, 2848, 3395, 5049, 5215, 6226, 7790, 585, 1711, 2688, 4156, 4321, 5251, 6768, 7456, 326, 1832, 2138, 3394, 4362, 5926, 7106, 7939, 668, 1283, 2435, 3577, 4595, 5557, 6623, 8262, 862, 1397, 2263, 4025, 4298, 5625, 6626, 8207, 839, 1695, 3018, 3692, 4333, 5547, 7014, 8165, 778, 2099, 2751, 3776, 4298, 5279, 7100, 8150, 113, 1139, 2695, 3900, 4452, 5867, 6775, 8199, 424, 1403, 2925, 3869, 5088, 5503, 6830, 7975, 160, 2079, 2994, 3169, 4985, 5899, 6331, 7916, 778, 1797, 3053, 3901, 4617, 6215, 7023, 8245, 104, 1227, 2312, 3165, 4565, 6128, 7069, 8069, 1025, 1248, 2975, 3187, 4651, 6117, 6859, 7437, 1057, 1238, 2652, 4026, 4701, 5210, 7160, 7720, 881, 1407, 2589, 3669, 4702, 5432, 6966, 7982, 664, 1771, 2742, 3635, 4683, 5777, 6663, 7445, 137, 1171, 2348, 4128, 4205, 5480, 6808, 7367, 862, 1171, 2486, 3637, 4298, 5794, 6237, 7405, 390, 2063, 2802, 3426, 5075, 6119, 7183, 7252, 512, 1932, 2582, 3882, 4622, 5684, 6972, 7906, 684, 1421, 3006, 4168, 4556, 6085, 7132, 8238, 804, 1705, 2959, 4011, 4179, 5614, 7218, 8266, 308, 1175, 2326, 3891, 5058, 6014, 6786, 7887, 804, 1933, 2803, 3891, 5061, 5612, 6786, 8267, 221, 1252, 3124, 4097, 4423, 5966, 6821, 7990, 459, 1708, 2846, 4074, 4636, 5212, 6965, 7590, 492, 1507, 2927, 3492, 5111, 6117, 7136, 7491, 681, 1633, 2678, 3656, 5161, 6167, 6659, 8244, 966, 1199, 2335, 3853, 4562, 5810, 6623, 7793, 482, 2094, 2741, 4154, 4962, 5967, 7172, 7592, 1003, 1778, 2409, 4007, 5151, 5491, 7198, 7481, 763, 2008, 2940, 3793, 4588, 6053, 7094, 7904, 242, 1408, 2515, 3577, 4930, 5810, 6939, 7709, 763, 1886, 2355, 3607, 4321, 5880, 6391, 8254, 192, 1244, 2577, 4163, 5018, 5926, 7115, 7896, 763, 1566, 2142, 3434, 4637, 5619, 7050, 7607, 827, 1178, 2440, 3284, 4788, 5513, 7228, 7545, 91, 1175, 2905, 3214, 4925, 5595, 7197, 7408, 265, 1510, 2758, 3304, 4604, 6024, 6800, 7810, 1088, 1510, 2530, 3887, 5109, 5446, 6426, 8234, 424, 1586, 3046, 3541, 4256, 6215, 6965, 7611, 512, 1821, 2918, 3373, 5104, 5901, 6771, 7919, 935, 2000, 2880, 3803, 5153, 6211, 7168, 7664, 935, 1526, 3135, 3680, 5007, 5981, 6709, 7421, 935, 1218, 3021, 3891, 5061, 5241, 6996, 7720, 153, 1964, 2991, 3931, 4533, 5630, 6749, 7806, 757, 1178, 2426, 3364, 4359, 6117, 7058, 7678, 105, 1147, 2221, 3550, 5075, 6195, 6730, 7876, 555, 1147, 3109, 3595, 5179, 5296, 6752, 7865, 201, 2017, 3117, 3367, 4704, 6139, 7152, 7766, 860, 2017, 2806, 3825, 4704, 6139, 6589, 8223, 488, 1622, 2914, 3825, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 555, 1147, 2970, 3893, 4622, 5635, 6584, 7664, 859, 1684, 2970, 4006, 5159, 6081, 6338, 8066, 105, 2106, 2953, 3873, 4780, 5493, 6752, 7563, 488, 1147, 2858, 3893, 5088, 5901, 6251, 7782, 915, 1147, 2806, 3914, 4624, 5241, 7226, 8223, 555, 1876, 3064, 4171, 4512, 6137, 6996, 8076, 915, 1147, 2806, 4145, 4624, 5811, 6996, 8126, 915, 1147, 2806, 4145, 4583, 5811, 6794, 8126, 555, 1147, 2858, 4145, 5159, 6205, 7006, 8223, 915, 2017, 3021, 3825, 4624, 5635, 7226, 7766, 488, 1528, 3021, 3893, 4624, 6139, 6589, 7766, 488, 1622, 3021, 3893, 4624, 5892, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 859, 2127, 2946, 4113, 4555, 5612, 7096, 8083, 613, 1112, 2381, 3770, 4849, 5378, 6605, 7920, 189, 1112, 2692, 3424, 4186, 5837, 6224, 8061, 830, 1640, 2692, 3745, 5111, 5828, 6244, 7777, 672, 1608, 2327, 3745, 5090, 5800, 6595, 7944, 399, 1732, 2312, 3570, 5117, 5852, 7053, 8098, 839, 1485, 2401, 3394, 5097, 6031, 7035, 7429, 115, 1832, 2310, 3560, 5120, 5771, 6371, 8149, 576, 1803, 2396, 3588, 5187, 5296, 6592, 7494, 654, 1467, 3139, 3604, 4863, 5957, 7152, 7936, 654, 1806, 3038, 3364, 5080, 5352, 6410, 7519, 576, 1806, 2951, 4064, 5145, 5962, 6301, 8210, 568, 1806, 2895, 4078, 4737, 5487, 6899, 7976, 959, 1806, 2293, 4074, 4923, 5296, 6338, 8082, 956, 2065, 3135, 4103, 5138, 5844, 7114, 7256, 510, 1995, 3026, 3803, 5079, 5968, 7132, 8164, 555, 1620, 3065, 3803, 4859, 5767, 6338, 7806, 555, 2017, 3065, 3825, 5138, 6195, 7132, 8080, 746, 1833, 2709, 3868, 4374, 6175, 6953, 7979, 827, 1386, 2662, 3578, 4876, 5772, 6488, 7682, 579, 2106, 3133, 4059, 4762, 5837, 7160, 7289, 579, 1585, 3026, 3206, 5050, 6093, 6791, 7465, 579, 1833, 2579, 3440, 4369, 5549, 6949, 7707, 304, 1939, 2874, 4149, 4916, 5731, 6269, 8078, 223, 1577, 2432, 3700, 5007, 5520, 6510, 7957, 895, 1937, 2782, 3176, 4765, 5307, 6891, 7680, 895, 1130, 2902, 3771, 4628, 6174, 6282, 7643, 895, 2084, 2810, 3691, 5134, 5610, 6474, 8047, 319, 1728, 2173, 3943, 5124, 5325, 6295, 7859, 1040, 1426, 2602, 3979, 4806, 6039, 6679, 8222, 988, 1199, 2483, 3171, 4567, 6125, 6740, 7983, 247, 1426, 2309, 3519, 4464, 6190, 7079, 7869, 988, 2059, 2981, 3623, 4900, 5404, 6663, 8026, 930, 2101, 2953, 3421, 4508, 6135, 6901, 7362, 1003, 2065, 2507, 3448, 4567, 6130, 6651, 7740, 192, 1283, 2357, 3424, 4686, 5293, 6282, 8035, 820, 1653, 2755, 3740, 4697, 5764, 7169, 7873, 844, 2099, 2346, 3421, 4588, 5985, 6430, 7329, 1049, 1881, 3104, 3218, 4949, 5480, 6295, 8015, 1062, 1932, 2887, 3218, 4384, 5953, 6680, 7796, 952, 1942, 2850, 3660, 4426, 5607, 7041, 8187, 650, 1372, 2701, 3300, 4604, 6004, 7041, 8085, 1011, 1397, 2761, 4073, 4872, 5574, 6613, 7778, 516, 2118, 2874, 3498, 5124, 5781, 6856, 7419, 699, 1931, 2370, 3753, 4364, 5943, 7038, 8190, 654, 1716, 2625, 4149, 4778, 5303, 6585, 7844, 225, 2042, 2401, 4074, 5197, 5810, 6605, 7865, 952, 1171, 2542, 3555, 5012, 5856, 6627, 7962, 373, 1586, 2291, 3430, 5120, 5445, 6672, 7367, 980, 1467, 2858, 3838, 4611, 5761, 6404, 7773, 1035, 1455, 2352, 4146, 4816, 5796, 6615, 8192, 150, 2035, 2786, 4098, 5085, 5651, 6640, 7537, 150, 2033, 2721, 4081, 4259, 5321, 6229, 8263, 150, 2089, 2238, 3778, 4585, 5858, 6632, 7466, 150, 2048, 2741, 3742, 4477, 5504, 6674, 7684, 344, 1393, 2268, 3195, 5052, 5448, 6614, 7413, 888, 1670, 2268, 3248, 4461, 5576, 6244, 7934, 993, 1624, 2511, 3434, 4339, 5387, 6258, 7742, 876, 1914, 2856, 3438, 4363, 5745, 7236, 7742, 876, 1914, 2878, 3850, 4301, 5821, 6872, 7772, 1001, 2117, 2636, 3602, 4182, 5900, 6524, 7771, 1001, 2117, 2383, 4120, 4565, 5819, 7170, 8144, 1008, 2008, 2715, 3880, 4468, 6084, 7045, 7809, 1016, 2008, 2425, 3478, 4327, 5597, 6476, 7626, 1030, 1469, 2349, 3802, 4846, 5245, 6674, 7841, 1008, 2107, 2966, 3568, 4210, 5387, 6404, 7501, 531, 2089, 2721, 3589, 5066, 5208, 6452, 8254, 1008, 1439, 3023, 3385, 5152, 5414, 6595, 8210, 113, 1469, 2796, 3446, 4476, 5978, 6296, 7863, 531, 1469, 3023, 3773, 4607, 5640, 6571, 8104, 333, 2029, 2173, 3434, 4683, 5838, 6869, 7405, 371, 1469, 2149, 3434, 4420, 6040, 6556, 7474, 980, 1316, 2458, 3751, 4281, 5607, 6666, 8236, 356, 1218, 2932, 3761, 4462, 5850, 6694, 7290, 518, 1851, 3109, 3188, 4181, 5548, 6627, 7421, 440, 2060, 2820, 4085, 4181, 5695, 6333, 8260, 440, 1600, 2775, 4006, 4215, 6171, 6306, 8245, 440, 1597, 3109, 3474, 4670, 5796, 6306, 8040, 878, 1525, 2729, 3206, 4186, 5678, 6604, 8260, 256, 1490, 2679, 3687, 4863, 5500, 6715, 8093, 617, 2032, 2858, 3680, 5143, 5899, 7090, 8179, 967, 1869, 2970, 3803, 5080, 5296, 6589, 8227, 335, 1370, 2472, 3918, 4281, 5624, 6442, 7895, 150, 1469, 2927, 3814, 5128, 6203, 6682, 7397, 277, 2048, 2409, 3847, 4222, 6034, 6706, 7722, 277, 1469, 2348, 3965, 4468, 6118, 6731, 8157, 864, 1469, 2411, 3429, 4636, 5990, 7099, 8235, 1008, 1766, 2569, 3568, 4243, 5345, 6626, 7814, 277, 1524, 2591, 3651, 4515, 5789, 6869, 7590, 778, 1120, 2137, 3557, 4757, 5512, 6680, 7578, 752, 1527, 2137, 3999, 4805, 5341, 7223, 7437, 776, 1660, 2231, 3420, 4978, 5870, 7060, 8050, 304, 2067, 2984, 3314, 4866, 5245, 6991, 7559, 804, 1992, 2582, 3676, 5153, 5892, 7132, 8195, 1079, 1750, 3110, 4152, 5060, 5515, 6668, 8099, 984, 1874, 3064, 4018, 5139, 6051, 7168, 7631, 935, 1992, 2880, 4011, 4287, 6085, 6809, 7806, 818, 1874, 2730, 3201, 5060, 5635, 7201, 7720, 935, 1600, 2996, 3825, 5038, 5635, 6979, 8195, 555, 2111, 2746, 3803, 4583, 5219, 6794, 8179, 555, 2111, 2914, 4006, 4512, 5981, 7168, 8076, 555, 1468, 2775, 4071, 4583, 5942, 7069, 7476, 757, 2013, 2918, 3994, 5157, 5515, 7129, 7878, 105, 1684, 3147, 3595, 5159, 5901, 6752, 8185, 105, 1684, 3147, 4174, 5159, 5385, 6612, 8080, 4, 2 ]

[ 1, 16, 28, 23, 66, 5, 44, 52, 33, 75, 16, 54, 5, 77, 45, 63, 78, 5, 14, 41, 66, 35, 5, 5, 3, 531, 1199, 2321, 3727, 4518, 5945, 7040, 7786, 531, 2043, 2353, 3187, 4314, 5615, 7106, 8226, 235, 1812, 2540, 3420, 4834, 5414, 6831, 8098, 1081, 1897, 2508, 3994, 4474, 5528, 6751, 8209, 684, 1897, 3064, 3645, 4762, 6085, 6988, 7309, 779, 1660, 3001, 3945, 5183, 6051, 6302, 7641, 390, 1881, 2860, 4006, 5129, 6123, 6776, 8054, 308, 1675, 2391, 4114, 4861, 5705, 6668, 7557, 113, 1585, 2139, 3546, 4828, 5631, 6686, 7853, 458, 1296, 2296, 3475, 4245, 5817, 6874, 7691, 966, 1402, 2430, 3214, 4731, 5220, 6765, 7705, 302, 2036, 3054, 3536, 4696, 5372, 6965, 7843, 302, 2036, 2815, 4007, 4823, 5473, 6438, 7798, 212, 2036, 2325, 4007, 4391, 5255, 6619, 7746, 208, 2036, 2376, 4090, 4739, 5473, 6789, 7756, 536, 1983, 2345, 3639, 4739, 5337, 6421, 7329, 840, 1145, 2814, 4007, 5176, 5473, 6828, 7502, 536, 1983, 2373, 3468, 4739, 5447, 6828, 7467, 887, 1983, 2373, 3639, 4319, 5260, 6359, 7262, 887, 2036, 3146, 4154, 4273, 5225, 6331, 8016, 887, 1918, 2391, 3496, 4273, 5713, 6359, 7751, 776, 1620, 2979, 3310, 5079, 5953, 7229, 7494, 984, 1752, 2947, 4085, 5080, 5567, 6830, 8179, 757, 2106, 3064, 3329, 4764, 5563, 7220, 7476, 757, 1534, 2791, 3855, 4181, 5565, 6750, 7397, 617, 1684, 2970, 3413, 4529, 5515, 6668, 7658, 935, 1684, 3033, 3857, 4215, 5219, 6740, 8083, 935, 1620, 3021, 4145, 5129, 6123, 7023, 7856, 935, 1804, 2946, 4166, 4888, 5378, 7120, 8195, 935, 1804, 3021, 3825, 5104, 5981, 6589, 7806, 914, 1804, 3065, 3975, 4622, 5241, 7084, 8076, 512, 2046, 2710, 3710, 4589, 5892, 7111, 7563, 582, 1676, 2492, 3162, 4224, 5935, 6899, 7906, 839, 1289, 2736, 3860, 4535, 5668, 6377, 7563, 397, 1860, 2841, 3741, 4266, 5776, 6670, 8086, 397, 1850, 2751, 3933, 4791, 5651, 6986, 8210, 737, 1808, 2268, 4007, 4440, 5608, 7094, 7516, 536, 1388, 2142, 4007, 4189, 5289, 6674, 8151, 536, 1388, 2448, 4007, 4479, 5289, 6710, 8029, 536, 1608, 3002, 4128, 4804, 5544, 6337, 7495, 536, 1439, 2732, 3966, 4321, 5312, 7085, 7899, 536, 1507, 3040, 3321, 4278, 6037, 7053, 7331, 536, 1988, 3055, 3321, 4292, 5835, 6832, 8129, 536, 2089, 2306, 3526, 4467, 5512, 6875, 7899, 104, 2089, 3003, 3376, 4955, 5579, 6875, 8228, 988, 2089, 2282, 3213, 4887, 5658, 7040, 8128, 1060, 2126, 2452, 4007, 4621, 5829, 6764, 8231, 406, 2036, 3040, 4007, 4368, 5867, 6986, 8000, 964, 1301, 2751, 4128, 4851, 5835, 6800, 8113, 1060, 1984, 2751, 3979, 4636, 5291, 6422, 7989, 154, 1812, 3015, 3239, 4636, 6194, 6536, 7501, 1081, 2059, 2963, 4062, 4283, 5813, 6703, 7659, 288, 1407, 3135, 4044, 4346, 5876, 6864, 7707, 211, 2060, 2450, 3546, 4287, 6000, 6732, 7776, 940, 1707, 2672, 3826, 4834, 6114, 7010, 8063, 942, 1786, 2690, 3710, 4834, 5769, 6333, 8130, 1080, 1548, 2788, 3312, 4609, 5810, 6740, 7317, 363, 2066, 2522, 3659, 4505, 5668, 6862, 8215, 545, 1164, 3046, 3384, 4539, 5320, 7043, 8254, 216, 1393, 2330, 3707, 4457, 5345, 6897, 7941, 1033, 1296, 2903, 4073, 4536, 5590, 6812, 7862, 887, 1778, 2693, 4027, 4953, 5561, 7084, 7248, 731, 1994, 2939, 4073, 4536, 5836, 7128, 7998, 807, 1682, 2693, 3246, 5124, 5706, 6412, 8072, 986, 1393, 2506, 3943, 4364, 5259, 6293, 7941, 487, 1302, 2506, 3986, 4320, 5341, 7059, 8069, 986, 1708, 2695, 4007, 4306, 5825, 7106, 7578, 986, 1692, 2727, 4015, 4321, 6059, 6446, 7490, 545, 2009, 2346, 3329, 4774, 5794, 6260, 7367, 807, 1682, 3116, 3888, 5005, 6113, 6249, 7978, 487, 1393, 2648, 3936, 4352, 5656, 6464, 7906, 737, 1550, 2553, 4007, 4996, 6181, 7229, 8205, 314, 1550, 2751, 3655, 4708, 5844, 6347, 7989, 737, 1164, 2900, 3329, 4733, 5334, 6476, 7318, 314, 1472, 2800, 3479, 4539, 5714, 6842, 7651, 737, 1950, 3020, 3928, 5074, 5224, 6728, 8069, 1101, 1210, 2460, 3892, 4321, 5934, 6532, 7577, 725, 1812, 2788, 3631, 4533, 5809, 6735, 7829, 1017, 1302, 2593, 3483, 5052, 5441, 6770, 7736, 730, 1566, 2522, 3167, 4665, 5247, 6901, 7379, 1101, 1969, 3018, 3709, 4708, 6054, 7161, 8043, 725, 1206, 2132, 3454, 4539, 5825, 6909, 7404, 448, 2002, 2661, 3424, 4729, 6097, 6689, 7931, 576, 1171, 2938, 3297, 4795, 5444, 6231, 7497, 228, 1986, 2251, 3588, 4435, 5840, 7232, 7920, 127, 2078, 2654, 3949, 5079, 6110, 6540, 7421, 518, 1897, 3053, 3732, 5167, 5844, 6889, 7992, 390, 1304, 2473, 4074, 5106, 6050, 6614, 7799, 1067, 1510, 2469, 3889, 4804, 5484, 7217, 7420, 793, 1526, 3126, 3446, 4866, 5227, 6917, 8137, 793, 1105, 2700, 3180, 4340, 5507, 6404, 7261, 819, 1609, 2422, 3180, 5072, 5810, 7142, 8169, 673, 1783, 3029, 3635, 4410, 6054, 6732, 7613, 302, 1915, 3029, 3736, 4347, 5399, 6801, 7337, 884, 1368, 2325, 3289, 4364, 6176, 7173, 7808, 302, 1915, 2306, 3736, 4445, 5341, 6386, 8184, 247, 1704, 3055, 4105, 4176, 5313, 6535, 7975, 1066, 1490, 2532, 3592, 5094, 6047, 7061, 7384, 1057, 1168, 2678, 3481, 4699, 5960, 7037, 8021, 1102, 1149, 3010, 3323, 5150, 6007, 6537, 7710, 804, 1851, 2803, 4168, 4282, 5858, 6774, 7992, 256, 1452, 2352, 4027, 4239, 5844, 7220, 7477, 440, 1924, 2469, 3364, 5044, 6070, 6850, 8076, 518, 2030, 3030, 3912, 4329, 5503, 6409, 8079, 256, 1289, 2991, 3951, 4687, 5536, 6889, 7303, 818, 2097, 3109, 4011, 4630, 5901, 7152, 8195, 935, 1998, 2880, 3914, 4573, 5705, 7152, 7485, 186, 1648, 2957, 4174, 4867, 5883, 7100, 8126, 105, 1280, 3007, 3873, 4583, 5612, 7100, 8076, 356, 1304, 2554, 3424, 4918, 5610, 6512, 7664, 756, 1826, 2960, 4018, 5160, 5844, 6671, 7895, 1033, 1794, 2946, 3945, 4777, 5891, 6657, 8179, 840, 1363, 2349, 3711, 4288, 6002, 6365, 7822, 884, 1510, 3037, 3164, 4321, 5363, 6818, 7809, 884, 1507, 2552, 3374, 4791, 5803, 6984, 7462, 271, 1510, 2663, 4083, 4214, 5461, 6224, 7790, 725, 1628, 2375, 4083, 4723, 5684, 7029, 7501, 895, 1510, 2866, 4101, 4539, 5936, 6670, 8217, 265, 2048, 2429, 3822, 4214, 6025, 6318, 7915, 693, 1821, 2794, 3885, 4364, 5756, 6487, 8049, 123, 1777, 2436, 3248, 4456, 5835, 7066, 7999, 693, 1509, 2194, 3387, 4536, 5428, 6622, 7629, 265, 1915, 2429, 3209, 4856, 5858, 6849, 7776, 371, 1171, 2678, 3467, 4814, 6032, 6588, 7522, 770, 1821, 2788, 3463, 5012, 6074, 7139, 8171, 955, 1977, 2959, 4145, 4456, 6058, 7149, 7732, 512, 1998, 2944, 3512, 5166, 5385, 6979, 7939, 512, 2111, 2985, 4011, 5061, 5883, 7084, 8237, 1097, 1675, 2959, 4011, 4888, 5630, 7058, 8267, 1097, 1467, 3135, 3645, 5166, 5385, 7239, 7421, 818, 1528, 3117, 3367, 5080, 6139, 6972, 7876, 488, 2017, 2914, 4071, 4630, 5241, 7124, 8147, 818, 2017, 2914, 3893, 4624, 5241, 6794, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7226, 8147, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 54, 30, 5, 64, 66, 63, 57, 52, 30, 5, 26, 30, 52, 47, 5, 16, 28, 23, 66, 5, 31, 16, 5, 28, 14, 55, 51, 64, 5, 17, 75, 5, 31, 16, 5, 28, 63, 69, 51, 3, 186, 2106, 2839, 4174, 4630, 6051, 6972, 8054, 186, 1332, 2839, 3680, 4387, 5305, 6972, 8093, 142, 1622, 3117, 4018, 5060, 5241, 6988, 8147, 488, 1528, 2806, 4170, 5060, 5241, 6786, 7723, 512, 1791, 2833, 4006, 4551, 5968, 6979, 7919, 786, 1424, 2980, 4124, 4426, 5876, 6505, 7496, 330, 1332, 2972, 3882, 4576, 5792, 6964, 8162, 441, 1639, 3040, 3343, 4862, 5443, 7175, 7683, 735, 1702, 2953, 3563, 4338, 5690, 6965, 8206, 1006, 1974, 2578, 4015, 4539, 5372, 6538, 7791, 391, 1498, 2156, 3334, 4807, 5790, 6651, 7735, 767, 1446, 2741, 3376, 4324, 5940, 6579, 7811, 216, 1463, 2792, 4010, 5157, 5687, 6579, 7260, 401, 1326, 2708, 4085, 4834, 6083, 6771, 7666, 256, 1333, 2556, 3917, 5165, 5219, 6840, 7677, 518, 1206, 2728, 3945, 5129, 5350, 6791, 7252, 195, 1440, 2366, 3838, 4762, 6163, 6566, 7927, 225, 1597, 2221, 3844, 4859, 5624, 7152, 8188, 225, 1597, 2792, 3803, 4437, 6046, 6466, 7913, 228, 1695, 2340, 3413, 4877, 5830, 6892, 7906, 228, 1695, 2792, 3879, 5127, 5241, 7069, 7664, 225, 1108, 2833, 3391, 5007, 6175, 6607, 7677, 256, 1108, 2542, 3827, 4877, 5678, 6430, 8076, 789, 1695, 3150, 4092, 4622, 5550, 6709, 7706, 818, 1623, 2833, 4092, 4877, 6175, 6810, 8262, 555, 1684, 2806, 4026, 4555, 5963, 7103, 7723, 617, 1300, 2792, 3356, 4459, 5610, 6752, 7831, 165, 1570, 2287, 4026, 4852, 6010, 6808, 7480, 568, 1979, 3147, 4037, 5129, 5730, 6757, 7918, 335, 1141, 2337, 3648, 5125, 5483, 7010, 7808, 716, 1415, 2276, 3311, 4991, 6156, 6605, 8112, 1067, 2072, 2285, 3385, 5152, 5478, 6664, 8181, 386, 1351, 2432, 3517, 4816, 5572, 6441, 7274, 1029, 1302, 2747, 3631, 4182, 5703, 7000, 8192, 840, 2070, 2887, 3685, 4550, 5910, 6760, 7254, 1067, 1674, 2929, 3286, 4468, 5380, 7047, 7509, 386, 1674, 3047, 3848, 4468, 5794, 6348, 8157, 504, 2070, 2998, 3401, 5124, 6080, 6763, 7261, 386, 1848, 2929, 3410, 5097, 5761, 6881, 7500, 504, 1793, 2881, 3323, 4468, 5978, 6914, 7905, 643, 2070, 2189, 3319, 5030, 5815, 6820, 7899, 504, 2008, 2966, 4055, 4781, 6117, 7039, 7367, 643, 1977, 2361, 3420, 4254, 5451, 6493, 7570, 266, 1199, 3015, 3931, 4856, 5631, 6803, 8226, 150, 2008, 3019, 3778, 4380, 5221, 7141, 7868, 386, 2066, 2363, 4128, 5182, 6138, 6693, 7578, 643, 1982, 2933, 3721, 4982, 5761, 6456, 8054, 970, 2050, 2631, 3325, 4743, 6123, 7048, 7442, 504, 1440, 2423, 3987, 4354, 6117, 6551, 8087, 759, 1407, 2660, 3868, 4667, 6117, 6798, 7447, 678, 1318, 2340, 3866, 5080, 5344, 6367, 7778, 940, 1499, 2892, 4097, 4691, 5550, 6752, 8016, 981, 1407, 2783, 3276, 4588, 5713, 6523, 7717, 693, 1972, 2677, 3432, 4928, 5346, 7053, 8047, 1062, 1299, 2137, 3306, 4497, 5977, 6800, 7555, 1062, 1757, 2536, 3661, 4228, 5287, 6896, 8004, 1062, 1193, 2580, 4035, 5010, 6105, 7232, 8174, 113, 1702, 2869, 4087, 5048, 6201, 7229, 8140, 759, 1609, 2869, 4056, 5115, 5505, 6287, 7727, 1052, 1490, 2494, 3802, 5189, 5594, 6730, 8121, 793, 1757, 2549, 3596, 4978, 5870, 6408, 7613, 793, 1454, 2529, 3604, 4321, 5291, 7039, 8234, 1040, 2006, 2581, 3395, 4321, 5656, 6997, 7832, 840, 1695, 2304, 3943, 4697, 6002, 6518, 7263, 137, 1732, 3076, 3741, 4530, 5261, 6883, 7936, 487, 2055, 2316, 3329, 4522, 5317, 6514, 7649, 1025, 2055, 2761, 3915, 5151, 5836, 6901, 8041, 512, 1881, 2293, 4174, 4780, 6195, 6612, 7876, 1056, 1675, 3110, 3206, 4822, 5413, 6938, 8267, 868, 1296, 2886, 3410, 4929, 6122, 6606, 7410, 643, 1531, 2232, 3788, 4843, 6199, 6377, 7936, 104, 1509, 2173, 3167, 4611, 6060, 6612, 7965, 887, 2043, 2727, 3573, 5042, 5863, 6494, 7402, 150, 1820, 2173, 3600, 5183, 5641, 6792, 8163, 610, 2073, 3037, 4128, 4896, 5450, 7181, 7453, 575, 1171, 2282, 3455, 4470, 5982, 7003, 8252, 465, 1938, 2161, 3292, 4641, 5749, 6957, 7873, 487, 1302, 2242, 3455, 4727, 5381, 7102, 7657, 986, 1834, 2940, 4007, 4867, 5871, 6466, 7418, 545, 1164, 2940, 3329, 4402, 5414, 6605, 7260, 761, 1815, 2638, 3623, 4576, 6118, 6704, 7545, 725, 2047, 2268, 4102, 5128, 5224, 7043, 8225, 271, 1606, 2439, 3924, 5072, 5890, 6679, 7538, 504, 1951, 2279, 4106, 5127, 5334, 6340, 8104, 371, 1402, 2487, 4127, 4308, 5802, 7149, 8024, 1056, 1607, 3150, 3975, 4945, 5778, 7168, 7971, 308, 1869, 3008, 4097, 4822, 5767, 7157, 7398, 308, 1467, 2895, 4145, 4713, 6131, 6918, 7664, 684, 1218, 2360, 3990, 4586, 5705, 6589, 8195, 844, 1320, 3150, 4174, 5061, 6164, 6953, 8056, 1067, 1982, 2137, 4151, 4757, 5270, 6433, 7699, 768, 1812, 2137, 4044, 4876, 5518, 6829, 7790, 360, 1248, 2568, 3398, 4929, 5977, 6456, 8155, 895, 1352, 2491, 3968, 5199, 5999, 6456, 7884, 895, 1199, 3102, 3690, 4554, 5442, 6533, 7592, 895, 1199, 2134, 3652, 4495, 5404, 7163, 7968, 887, 1199, 2171, 3826, 4552, 5624, 7005, 8019, 304, 1721, 3150, 3429, 4255, 6204, 6826, 8184, 804, 1620, 2783, 3908, 4801, 5892, 6642, 7264, 899, 1700, 2328, 3206, 4470, 5296, 7168, 8118, 915, 1998, 3135, 3932, 4630, 6182, 6771, 8179, 419, 1851, 3000, 3550, 4888, 5493, 7006, 8195, 789, 2078, 3021, 4041, 4859, 6175, 7207, 8236, 789, 2030, 2560, 3645, 5083, 5740, 6786, 8260, 935, 1675, 2991, 4171, 4822, 5612, 6709, 7806, 959, 1752, 2991, 3961, 4980, 5968, 7018, 8266, 392, 1895, 2503, 3610, 4307, 5677, 6612, 7397, 1009, 1199, 2934, 3841, 4656, 6181, 6973, 8077, 249, 1199, 2726, 4004, 5011, 6118, 6419, 8047, 776, 1915, 2975, 3793, 5120, 6042, 6967, 7639, 308, 1915, 2924, 3885, 4780, 5832, 7047, 8266, 684, 1238, 3098, 3544, 4630, 6025, 6786, 8080, 804, 1399, 2783, 3987, 5038, 5630, 6972, 7876, 804, 2046, 2520, 3226, 4470, 5219, 6972, 7806, 308, 1218, 3008, 4068, 4822, 6211, 6794, 8179, 1056, 1939, 3064, 3932, 5058, 5586, 7201, 7876, 1052, 1320, 2847, 3710, 4510, 5570, 6272, 7726, 635, 1199, 2893, 3410, 5014, 5510, 6536, 8211, 875, 1389, 2310, 3573, 4612, 5745, 6765, 8013, 875, 1826, 2954, 3456, 4539, 5508, 7202, 7385, 809, 1938, 2260, 3306, 4474, 5306, 6598, 7882, 774, 1494, 2410, 3859, 5110, 5453, 6654, 7360, 840, 1695, 2751, 3706, 4461, 5506, 6547, 8161, 986, 1931, 2566, 4007, 4763, 5662, 6350, 7735, 104, 1942, 2254, 4103, 4894, 5475, 7232, 7973, 1025, 1141, 2801, 3358, 5073, 5527, 6812, 8078, 610, 1966, 2582, 3756, 5080, 5757, 6478, 7488, 610, 1296, 2556, 4027, 4467, 5981, 6244, 7311, 1025, 1238, 2436, 3206, 4589, 5713, 7125, 7584, 610, 1773, 2258, 3771, 5153, 5767, 7198, 8085, 833, 1320, 2567, 4114, 5101, 5836, 6254, 7960, 617, 1742, 2144, 3666, 4604, 5248, 6426, 7508, 568, 1961, 3141, 3443, 4867, 5413, 7090, 7774, 654, 1971, 2190, 4006, 5135, 5844, 6515, 7252, 654, 2106, 2970, 3671, 5095, 5767, 6551, 7799, 518, 1623, 3133, 3535, 4201, 5357, 6668, 7716, 518, 1623, 2560, 4124, 4675, 5705, 6612, 8213, 617, 2111, 2251, 3470, 4993, 6163, 6688, 7838, 552, 2097, 2946, 3516, 5138, 5296, 7090, 7717, 304, 2042, 2293, 3815, 4751, 5432, 6472, 7887, 716, 1849, 2436, 4146, 4691, 5220, 7220, 8238, 1067, 1865, 2205, 3750, 4241, 5447, 6851, 7369, 643, 1723, 2279, 3618, 4981, 5840, 6311, 7827, 304, 1707, 2860, 3914, 4801, 6131, 6566, 7716, 684, 2033, 3043, 3440, 5166, 5832, 7006, 8261, 211, 1280, 2991, 3918, 5061, 5210, 6630, 7949, 211, 1750, 3064, 3945, 4366, 5661, 6852, 8179, 955, 1750, 3007, 3516, 5159, 5802, 6709, 8076, 942, 1333, 3092, 3521, 4437, 5393, 7093, 8173, 386, 1686, 2207, 3635, 5108, 6056, 6717, 8006, 975, 1509, 2810, 3748, 5023, 5500, 6562, 8132, 100, 2102, 3151, 3751, 5101, 5974, 6668, 7911, 684, 1981, 2254, 3885, 4396, 5946, 6377, 7831, 308, 1867, 2980, 3983, 5145, 5241, 6302, 7485, 211, 1562, 3064, 3982, 4287, 5824, 6515, 8209, 684, 1275, 2947, 3546, 4691, 5868, 7120, 8267, 684, 1218, 3007, 3990, 5104, 5534, 6668, 8066, 804, 1791, 3150, 3671, 4912, 5883, 7237, 8093, 709, 1844, 3008, 3932, 5104, 5832, 7084, 8267, 326, 1965, 2352, 4151, 4762, 5968, 7025, 8246, 650, 1893, 2703, 4005, 4324, 5942, 7095, 7513, 277, 1250, 2707, 3544, 4701, 6181, 6939, 8209, 277, 1930, 2878, 4151, 4381, 5898, 6663, 8174, 436, 1141, 2761, 4094, 4882, 5898, 7036, 7864, 876, 1674, 2440, 3787, 4765, 5898, 6456, 7985, 992, 1786, 2173, 3968, 4426, 6062, 6426, 7713, 1016, 2009, 2506, 3392, 4791, 6220, 6658, 8023, 961, 2009, 2230, 3894, 5175, 5643, 7018, 7684, 804, 1791, 3092, 3873, 5106, 5835, 6850, 7474, 1097, 2079, 3092, 3226, 4191, 6129, 6515, 7664, 555, 1791, 3095, 4114, 5080, 5981, 7168, 8080, 935, 1791, 2340, 3440, 4780, 5883, 7084, 8223, 510, 1608, 3043, 4018, 4583, 6129, 6979, 8093, 153, 1386, 2139, 3838, 4651, 5210, 7205, 7262, 707, 1736, 2282, 4149, 4322, 5614, 6744, 7869, 555, 1684, 2709, 3603, 4225, 6195, 7090, 7423, 475, 1147, 2989, 4124, 5159, 5438, 6966, 8147, 552, 1684, 3064, 3407, 4287, 6081, 7114, 7727, 488, 1684, 2164, 3825, 4918, 5219, 7201, 8179, 488, 2017, 2833, 4071, 4704, 6081, 7077, 7766, 488, 2017, 2806, 3893, 4624, 5901, 6794, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 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, 31, 16, 5, 30, 46, 64, 16, 62, 45, 63, 16, 54, 64, 5, 17, 75, 5, 16, 5, 30, 11, 51, 77, 16, 53, 16, 54, 66, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 833, 1596, 2944, 3866, 4586, 6195, 6338, 8261, 392, 1596, 2655, 3394, 4844, 5220, 6280, 8085, 660, 2072, 2953, 3981, 4802, 5308, 6435, 7291, 739, 1543, 2724, 3623, 4486, 5594, 6603, 7873, 465, 2008, 2693, 3456, 4364, 5284, 7024, 7555, 211, 2008, 2703, 3928, 5150, 6011, 7004, 7949, 211, 1924, 3080, 3277, 4181, 5436, 6376, 8237, 955, 1540, 2970, 3201, 5061, 5543, 7129, 8267, 1020, 1910, 2727, 4120, 4539, 5826, 7037, 7447, 886, 2102, 2151, 3233, 5161, 5547, 6895, 7968, 1098, 1472, 2587, 3333, 4807, 5716, 6760, 7954, 1098, 1472, 2890, 3623, 5097, 5961, 7218, 8208, 1059, 1225, 2349, 3955, 4675, 5765, 6474, 7955, 1059, 1600, 2156, 3419, 4344, 5436, 6832, 7561, 654, 1523, 2315, 3646, 5054, 5870, 6969, 7838, 127, 1889, 2469, 3457, 5106, 6149, 6898, 8225, 195, 1668, 2349, 3662, 4780, 5424, 7207, 8185, 518, 1889, 3064, 3407, 5115, 5413, 6755, 8262, 518, 1326, 3048, 3391, 4870, 5694, 7129, 8099, 518, 2111, 2659, 3941, 5083, 5600, 7207, 7831, 617, 1705, 2156, 3885, 5104, 6137, 7010, 7559, 504, 1825, 2808, 3440, 5124, 5259, 7167, 8061, 993, 1424, 2474, 3832, 4810, 6078, 6377, 7393, 610, 1299, 2789, 3649, 4654, 5825, 6529, 7951, 684, 1637, 2971, 3540, 4877, 6123, 6515, 8237, 308, 2001, 3064, 3226, 4888, 5219, 6775, 7959, 914, 1915, 2971, 3891, 4179, 5832, 6840, 7664, 510, 1753, 2729, 4113, 4555, 5677, 6972, 7716, 555, 1869, 2957, 3891, 4583, 6129, 6515, 8260, 120, 1777, 2693, 3959, 4945, 6061, 6376, 8187, 1102, 2118, 2550, 4038, 5012, 6103, 6597, 8221, 640, 1561, 2544, 3245, 4898, 5906, 6814, 7863, 234, 1411, 2482, 3565, 4365, 5616, 6506, 7384, 234, 1286, 3119, 3960, 4733, 5257, 7133, 7752, 234, 2072, 2717, 3536, 4934, 5539, 6870, 7442, 1101, 1521, 2487, 3305, 4859, 5930, 6917, 7490, 314, 1510, 2490, 3686, 4356, 6220, 7086, 7318, 784, 1586, 2661, 3479, 5074, 5824, 7112, 7509, 1067, 1586, 2261, 3472, 4321, 5823, 6284, 7863, 271, 1566, 2378, 3849, 4459, 5904, 6892, 8229, 465, 1548, 2440, 3905, 4539, 6089, 7097, 8118, 884, 1758, 3085, 3905, 4855, 5738, 6754, 8061, 840, 1674, 2881, 3812, 4784, 6061, 6973, 8140, 643, 1812, 2349, 4021, 4872, 5277, 6735, 7259, 504, 1400, 2870, 4087, 4751, 5867, 7168, 7868, 731, 1992, 2741, 3521, 4493, 5704, 6627, 7516, 678, 2008, 3109, 3955, 5088, 5413, 6670, 7485, 955, 1777, 3144, 3361, 4672, 6204, 6849, 8067, 401, 1721, 2254, 4145, 4691, 5661, 6515, 8126, 617, 1998, 3133, 3329, 4925, 5602, 7090, 7720, 654, 1562, 3147, 4115, 4877, 5223, 6373, 8093, 127, 2002, 2944, 3710, 4622, 5963, 6892, 7563, 195, 1280, 2833, 3470, 5159, 5944, 7172, 7664, 518, 2111, 2554, 3470, 4709, 5950, 7168, 7563, 617, 2111, 3007, 3552, 5179, 6097, 7163, 7563, 335, 1171, 2404, 4124, 4513, 6080, 7046, 8132, 1023, 1510, 3085, 3448, 4823, 6076, 6373, 8157, 493, 1865, 3031, 3286, 5197, 6117, 6953, 8044, 373, 1682, 2794, 3169, 4803, 5865, 6524, 7959, 678, 1897, 2807, 3685, 4954, 5378, 6871, 7290, 756, 1700, 3038, 3885, 4829, 5981, 6480, 8262, 448, 2060, 2389, 3248, 4361, 5865, 7182, 7264, 326, 2030, 2205, 3909, 4537, 5943, 6632, 7962, 723, 1865, 2829, 3314, 5148, 5662, 6622, 7273, 314, 1490, 2678, 3338, 4539, 5298, 6488, 7684, 363, 1507, 2456, 4007, 5074, 5387, 6357, 8123, 844, 1496, 2974, 4073, 4318, 6188, 6411, 7420, 288, 1356, 2959, 3224, 4444, 5579, 6988, 7992, 390, 2088, 2231, 4041, 4583, 5832, 6688, 7720, 512, 2046, 3043, 4011, 5088, 6211, 6346, 7732, 757, 1523, 2720, 3975, 4945, 5982, 6254, 8046, 363, 1557, 3031, 3264, 4949, 5262, 6730, 7904, 1060, 1828, 2460, 3688, 4320, 5606, 6788, 8048, 884, 1301, 2835, 3329, 4383, 5752, 6829, 8005, 1067, 1901, 2954, 3329, 4274, 5313, 6286, 8263, 1041, 1499, 2948, 3486, 4293, 5325, 6419, 8015, 1084, 1983, 3149, 3878, 4718, 5797, 6963, 7798, 776, 1751, 2540, 3960, 4881, 5348, 6436, 8128, 863, 1503, 2171, 3360, 5017, 5976, 6721, 7265, 484, 1747, 2163, 3645, 5135, 5844, 6566, 8181, 171, 1933, 2679, 3603, 5088, 5308, 6987, 7502, 984, 1700, 2754, 4152, 5139, 5702, 7239, 8054, 984, 1620, 2340, 4112, 4861, 6131, 6935, 8080, 984, 2073, 3135, 4166, 4861, 5630, 6979, 8223, 282, 2013, 2455, 3790, 4224, 5957, 6296, 8027, 105, 1791, 3147, 3904, 4775, 5795, 6895, 7899, 105, 2017, 2960, 3478, 4681, 6175, 6980, 7714, 216, 1388, 2924, 3352, 5058, 6051, 6840, 7732, 731, 2091, 2945, 3864, 4555, 5888, 6224, 8073, 1029, 1732, 2766, 3687, 4711, 6028, 7149, 7438, 1025, 1494, 2440, 3662, 4423, 5658, 6823, 8164, 610, 1797, 2440, 3516, 5080, 6000, 7111, 7948, 1057, 1676, 2891, 3560, 4512, 6222, 6677, 7992, 408, 1141, 2727, 3678, 4671, 6141, 6860, 7878, 850, 1918, 3080, 3968, 4514, 6073, 7222, 7697, 535, 2059, 3029, 3840, 4855, 5489, 7028, 8126, 862, 1735, 3116, 3162, 4415, 5347, 7179, 7966, 880, 1116, 2378, 3371, 4627, 5320, 6426, 7678, 569, 1388, 2751, 4120, 4689, 5204, 6292, 7634, 104, 1858, 2818, 4162, 4724, 5658, 6765, 7677, 826, 1371, 2436, 3616, 4954, 5641, 6780, 7706, 887, 1978, 2429, 3917, 4893, 5573, 6777, 8024, 663, 1797, 2803, 3949, 5088, 5661, 7095, 8078, 510, 2046, 2750, 3866, 4764, 6103, 7201, 7807, 421, 1633, 2151, 3904, 4849, 5250, 6810, 7429, 105, 1684, 2941, 4011, 4435, 6103, 7230, 8262, 555, 1620, 2833, 3231, 5053, 5350, 6756, 8083, 1099, 1218, 2833, 3516, 5053, 6129, 6988, 7876, 818, 2046, 2957, 3990, 4980, 6139, 7207, 8179, 818, 1620, 3008, 4108, 4630, 6186, 6786, 8179, 555, 1791, 3064, 4071, 4622, 5883, 6584, 7949, 859, 1974, 2833, 4166, 5104, 5844, 6677, 8076, 859, 2002, 2970, 3751, 5060, 5981, 6810, 8267, 105, 1684, 2340, 3374, 5159, 5515, 6604, 7723, 617, 1695, 3110, 4103, 4775, 5705, 6996, 7929, 617, 1695, 3021, 3595, 5060, 5296, 6579, 7664, 105, 2106, 2542, 3914, 5104, 6205, 6612, 8061, 859, 2127, 2833, 4068, 4179, 5719, 6996, 8267, 617, 1750, 3021, 3391, 4870, 5550, 7207, 7707, 859, 1695, 2340, 3595, 5143, 5296, 6579, 8185, 859, 2111, 2970, 3391, 4307, 5241, 6876, 7806, 859, 2127, 2959, 3566, 4536, 6205, 7120, 7476, 4, 2 ]

[ 1, 31, 16, 5, 64, 33, 54, 66, 16, 54, 16, 52, 5, 76, 11, 78, 5, 42, 20, 54, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4888, 6081, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2914, 3893, 4366, 6139, 7077, 7766, 915, 1528, 2806, 3893, 4980, 6081, 6996, 7723, 756, 2065, 2941, 4085, 4470, 6007, 7129, 7887, 716, 1265, 2436, 3770, 4488, 6166, 7129, 8240, 459, 1507, 3033, 4079, 5143, 5265, 7048, 8128, 459, 1171, 2436, 4147, 4927, 6083, 6404, 8210, 317, 1885, 2397, 4007, 4651, 5389, 7079, 7298, 225, 2060, 2775, 3518, 4613, 5752, 6486, 7584, 654, 2002, 2473, 3879, 4795, 5678, 7132, 7799, 654, 1597, 2729, 3674, 4413, 5521, 6515, 8262, 240, 2127, 2542, 4071, 4709, 6182, 6291, 8236, 240, 2127, 2554, 3518, 5151, 5582, 6889, 8083, 240, 1750, 3105, 3891, 4398, 5892, 6589, 7509, 240, 2002, 2221, 3879, 5007, 5678, 6671, 7664, 240, 1750, 2473, 3394, 4549, 5296, 6786, 7303, 518, 2032, 2754, 4145, 5160, 6110, 6840, 7290, 715, 1620, 2880, 3798, 4855, 6171, 6740, 7764, 1071, 1496, 2478, 3540, 4619, 5844, 6657, 7777, 683, 1349, 2346, 4030, 4321, 5511, 7066, 8026, 480, 1778, 2951, 3923, 4732, 5220, 6958, 7538, 668, 1168, 2951, 3332, 4607, 5696, 6866, 7872, 1036, 1474, 2465, 3752, 4539, 5768, 6480, 7809, 1084, 2067, 3122, 4007, 4927, 5574, 6592, 7947, 1081, 1407, 2429, 3334, 4592, 5950, 6704, 8061, 709, 1485, 2766, 3277, 4398, 6175, 6344, 7664, 171, 2119, 3109, 3932, 4940, 6129, 7160, 7481, 484, 1876, 3006, 3932, 4918, 6137, 6776, 8267, 915, 1992, 2925, 4011, 4551, 5705, 7120, 7715, 555, 1791, 2473, 4174, 4374, 6211, 6972, 7723, 555, 2073, 3008, 4145, 4630, 5767, 6972, 7876, 555, 2073, 3135, 3866, 5166, 5767, 6972, 8260, 956, 1622, 3008, 4145, 4888, 5219, 7239, 8093, 211, 1668, 3110, 3886, 4366, 5883, 6979, 8076, 752, 1771, 2315, 4166, 5080, 6103, 6719, 7421, 650, 1930, 3090, 3390, 4494, 5605, 7114, 7476, 850, 1633, 2396, 4152, 5020, 5648, 6306, 7960, 778, 1865, 2401, 3399, 4179, 5610, 6871, 7480, 850, 1865, 2520, 3231, 4536, 6192, 6734, 8132, 826, 1633, 2887, 4096, 4691, 5868, 6890, 7570, 465, 1978, 3137, 3910, 4364, 5519, 6888, 7881, 271, 1141, 2173, 3539, 4457, 5745, 6292, 7875, 1025, 1988, 3112, 4125, 4323, 6147, 6480, 8003, 1025, 2089, 3108, 3999, 4303, 5265, 6224, 7413, 610, 1672, 2274, 3741, 4198, 5850, 6762, 7405, 1022, 1318, 2974, 3729, 4816, 5515, 7111, 8252, 951, 1860, 2998, 3830, 4946, 5536, 6810, 8099, 1090, 2056, 2520, 3561, 5095, 5421, 7069, 7557, 663, 1328, 2989, 3842, 4917, 5205, 7010, 7753, 288, 1809, 2754, 3983, 4828, 5968, 6408, 8107, 1056, 1175, 2679, 3983, 4630, 6205, 6646, 8260, 663, 2079, 2396, 4071, 5143, 5573, 6588, 7807, 390, 1791, 2989, 4011, 4447, 6175, 6972, 8179, 1056, 1675, 2326, 3440, 5166, 6026, 6540, 7706, 1090, 1773, 2996, 4112, 5060, 6024, 7201, 8236, 1090, 1523, 2261, 3908, 5053, 5359, 7047, 7494, 643, 1523, 2944, 3678, 4387, 5592, 7012, 7765, 887, 1509, 2971, 4078, 4429, 5425, 6360, 7586, 923, 1509, 2724, 3826, 4536, 5793, 7230, 8124, 1059, 1267, 2401, 3912, 4282, 5574, 7184, 8214, 225, 1986, 2564, 3819, 4205, 5918, 6419, 8190, 654, 2002, 2941, 3204, 5150, 5899, 6286, 7627, 654, 2002, 2798, 3623, 4801, 5727, 6540, 7402, 518, 2065, 2875, 3291, 4682, 5811, 7114, 7660, 132, 2097, 2792, 3994, 5157, 5493, 6871, 7563, 488, 1961, 2729, 4071, 5129, 5493, 6688, 8147, 915, 2017, 2914, 3595, 4704, 6149, 6752, 8196, 1097, 1648, 3117, 4174, 5138, 5219, 7201, 7563, 165, 2045, 2818, 3801, 4844, 5552, 6660, 8183, 752, 1688, 2566, 3543, 4861, 5436, 7053, 7525, 964, 2059, 2436, 3859, 4800, 5474, 6465, 7823, 730, 1531, 2247, 3936, 4571, 5788, 6785, 8234, 1036, 1199, 2514, 3303, 4532, 6060, 6295, 7873, 1003, 1903, 3149, 3988, 5066, 5879, 6484, 8038, 283, 1706, 3010, 3787, 4719, 5499, 6484, 7687, 643, 1855, 2445, 3741, 4818, 5670, 6755, 7704, 1081, 1939, 2800, 4128, 4852, 5410, 7140, 7800, 110, 1485, 2803, 3675, 4672, 5745, 7059, 7978, 110, 1280, 3010, 3455, 4324, 5834, 6732, 8061, 110, 1924, 2669, 4152, 4760, 5719, 6936, 7752, 110, 2009, 2892, 3481, 4767, 6008, 7184, 7930, 678, 1146, 2941, 3987, 4387, 6190, 6442, 8211, 641, 1687, 3080, 3434, 4440, 5410, 6423, 7385, 678, 2073, 2700, 3771, 4881, 5745, 6750, 8211, 504, 1865, 3069, 3921, 4835, 6198, 6517, 7790, 512, 1369, 3080, 3826, 4622, 5650, 6331, 7876, 779, 1847, 2678, 3440, 4845, 6222, 6980, 7421, 779, 2068, 2389, 3671, 4622, 6195, 7207, 7856, 940, 1807, 2868, 4106, 4186, 6007, 7207, 7919, 779, 1209, 3128, 3671, 4852, 5824, 6736, 7557, 779, 1430, 2582, 4145, 5183, 6085, 7160, 7876, 512, 1508, 3110, 4068, 5038, 5705, 7006, 8260, 510, 1620, 2957, 4068, 5058, 6211, 6988, 7949, 1099, 2046, 3135, 4166, 5038, 6103, 6709, 8260, 488, 2041, 2960, 3893, 4704, 5832, 7006, 8147, 142, 1528, 2806, 3825, 4704, 6186, 7201, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7226, 7766, 818, 2017, 2164, 3893, 4624, 6186, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 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, 4, 2 ]

[ 1, 30, 11, 51, 66, 35, 5, 64, 66, 48, 75, 16, 54, 5, 51, 33, 62, 66, 5, 43, 45, 78, 5, 26, 78, 5, 63, 14, 31, 35, 5, 64, 66, 33, 30, 16, 52, 47, 5, 16, 62, 11, 54, 5, 43, 45, 78, 5, 41, 63, 33, 54, 30, 78, 5, 41, 39, 64, 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, 6186, 6794, 8223, 488, 1622, 3065, 4018, 4798, 6139, 6794, 7949, 682, 2118, 2378, 3662, 4198, 6050, 7018, 8016, 569, 1597, 2361, 3972, 4904, 5437, 6603, 7441, 974, 2060, 2881, 3448, 4479, 5596, 6493, 8031, 831, 1939, 2345, 3711, 4970, 5220, 6671, 7802, 91, 1206, 2254, 4168, 5140, 6192, 7009, 8209, 171, 1171, 2598, 3253, 5120, 5514, 6898, 7891, 818, 1752, 2775, 3932, 4337, 5844, 6996, 7716, 488, 2046, 3021, 4018, 5038, 6211, 6972, 7485, 818, 2046, 2164, 3982, 4624, 5901, 7006, 8237, 818, 2017, 3117, 3893, 4822, 5883, 7124, 7766, 186, 1622, 2164, 3891, 5080, 5901, 6794, 8080, 552, 1791, 2781, 3825, 4592, 5730, 6584, 7948, 541, 1974, 2775, 3662, 5054, 5378, 6747, 7304, 757, 1233, 2188, 3522, 5091, 5296, 6584, 7605, 685, 1806, 2232, 3941, 4215, 5325, 6753, 8099, 448, 1171, 2961, 3558, 4636, 5485, 6461, 8241, 927, 1826, 2516, 3743, 4236, 5872, 6578, 7611, 699, 1797, 2230, 3448, 4898, 5689, 6465, 7261, 654, 2002, 2473, 3891, 4862, 5672, 6646, 8109, 654, 2111, 3002, 3886, 5103, 5433, 6790, 7838, 654, 2002, 2468, 4125, 5159, 5259, 6717, 7677, 240, 1304, 2341, 3832, 4737, 6110, 7241, 7838, 789, 1468, 2880, 4113, 4549, 5901, 6909, 7262, 419, 1851, 2806, 3803, 4583, 6186, 6786, 8261, 789, 1756, 3065, 4174, 4512, 5635, 6604, 7715, 518, 1974, 2904, 3550, 5138, 6137, 6604, 7706, 105, 2034, 3053, 3879, 4764, 6110, 6338, 7846, 767, 1782, 2492, 3217, 4691, 5497, 6651, 7810, 582, 1692, 2593, 3697, 4855, 5479, 6224, 7816, 399, 1708, 2311, 3224, 4539, 5339, 6343, 7648, 545, 2009, 2610, 3485, 5124, 6194, 6847, 7537, 1025, 1283, 2142, 3618, 4945, 5485, 6976, 7610, 610, 1732, 2740, 3543, 5031, 5565, 6895, 7538, 424, 1459, 2874, 3231, 4321, 5954, 7010, 7965, 833, 1139, 2860, 3983, 4334, 5844, 7006, 7927, 899, 1668, 2947, 4026, 4912, 5568, 6752, 8185, 440, 1791, 2468, 3819, 4430, 5918, 6898, 7602, 887, 1388, 2716, 3503, 4412, 6086, 6893, 7913, 150, 1820, 2724, 3706, 5039, 5385, 6894, 8107, 271, 1915, 2871, 3692, 4621, 6024, 6793, 7555, 887, 1794, 2638, 3277, 4333, 5346, 6308, 7677, 955, 1302, 2326, 3803, 4531, 5908, 7207, 8260, 401, 2068, 2710, 4115, 4228, 6111, 6776, 7582, 1081, 1499, 2944, 3707, 4536, 6181, 6515, 7810, 610, 1797, 2944, 3979, 4592, 6014, 6776, 8241, 288, 1881, 2336, 3917, 4896, 5678, 7207, 8076, 1097, 1750, 2991, 3226, 5080, 5612, 6776, 8147, 186, 1791, 3008, 3645, 5058, 5241, 6786, 8237, 143, 1345, 2391, 3909, 4224, 5503, 6692, 7846, 183, 1248, 2946, 3879, 4872, 5443, 6755, 7959, 356, 1147, 2880, 4011, 4384, 5832, 7197, 8078, 160, 1732, 2641, 3770, 5143, 5210, 7024, 7617, 840, 1570, 2534, 3295, 4321, 6155, 6911, 7867, 662, 1459, 2509, 4003, 4775, 5468, 6550, 7967, 776, 1728, 2378, 4009, 4255, 5317, 7030, 7419, 956, 1660, 3064, 3886, 5165, 6205, 6648, 8076, 1097, 1218, 3109, 3803, 5115, 5241, 6584, 8107, 186, 1945, 2746, 3201, 4366, 6211, 6972, 8076, 935, 1620, 2806, 4115, 4870, 6129, 6515, 7421, 935, 2041, 3110, 3825, 4704, 6014, 6752, 8196, 153, 2064, 2833, 3771, 4822, 5835, 6774, 7602, 568, 1289, 2356, 3178, 4371, 5624, 6286, 7485, 959, 1206, 2562, 3994, 4179, 5824, 7085, 7811, 767, 1284, 2924, 3550, 4307, 5212, 6715, 8061, 840, 1280, 2327, 3796, 4946, 5286, 6550, 8061, 993, 1570, 2688, 4128, 4321, 6073, 6680, 8178, 993, 1938, 3033, 3939, 4953, 5706, 6847, 8048, 271, 1570, 2736, 4128, 4978, 5490, 7086, 7977, 1059, 2118, 2736, 3446, 4542, 6181, 6905, 7510, 1014, 1938, 2736, 3337, 4364, 5725, 7040, 7908, 127, 1931, 2725, 3613, 4304, 6058, 7012, 8051, 518, 2071, 2594, 3891, 4278, 5873, 6480, 7473, 518, 2107, 3139, 4082, 4881, 5310, 6619, 8125, 390, 1930, 2542, 4120, 4580, 6123, 7010, 7869, 942, 1628, 2750, 3971, 4319, 5485, 6338, 7650, 840, 1555, 2871, 4138, 4589, 5428, 6272, 7313, 774, 2036, 2959, 3721, 4949, 6039, 7030, 8015, 1062, 1681, 2580, 3704, 4197, 5489, 6555, 7402, 113, 1704, 3091, 3520, 4781, 6058, 6863, 7881, 293, 1609, 2426, 3718, 4845, 6014, 6494, 8180, 895, 1252, 3023, 3230, 4709, 6066, 7202, 7889, 1067, 2059, 2966, 3421, 4709, 5333, 6962, 7487, 840, 1884, 2490, 3460, 4873, 5973, 7036, 8238, 1062, 1410, 2744, 3218, 4891, 6144, 6651, 7438, 113, 2065, 2299, 3599, 5195, 5324, 6823, 7397, 1057, 1609, 3091, 4112, 4467, 5746, 6672, 7809, 895, 2118, 2194, 4087, 4736, 5955, 6408, 7889, 1052, 1286, 3034, 4159, 5010, 6126, 6962, 7898, 585, 1616, 2399, 3543, 4321, 5790, 6581, 7488, 1084, 2099, 2751, 3508, 4213, 5437, 6702, 7971, 752, 1684, 2810, 3363, 5195, 6105, 6847, 8081, 952, 1915, 2989, 3955, 4408, 5555, 7018, 8254, 610, 1472, 2924, 3162, 4918, 5752, 6859, 8240, 453, 2048, 2156, 3443, 4846, 5661, 7012, 7973, 228, 2033, 2282, 3254, 4881, 5215, 7181, 7555, 1014, 2079, 2788, 3364, 5193, 6137, 6965, 7749, 317, 1915, 2783, 3646, 4329, 5474, 7218, 8182, 1059, 2118, 2144, 3798, 4364, 6062, 6876, 7846, 1025, 2118, 2396, 4124, 4764, 6023, 6663, 7943, 424, 2118, 2336, 3592, 4664, 5610, 7063, 7613, 308, 1749, 2315, 4078, 4813, 6002, 6892, 8080, 617, 1311, 3008, 3376, 5095, 6175, 6992, 8008, 105, 2111, 2833, 3827, 5018, 5840, 7058, 7732, 552, 2002, 2946, 3914, 5157, 5549, 6688, 8236, 484, 2065, 2729, 4006, 4681, 5534, 7090, 8147, 484, 1833, 2729, 3932, 5038, 5832, 7090, 7723, 818, 1620, 3043, 4018, 5159, 5219, 6979, 8083, 488, 2017, 3117, 3367, 5038, 5901, 6972, 8237, 818, 1622, 2803, 3710, 5166, 5241, 7124, 8179, 512, 1791, 2381, 3188, 4782, 6205, 6979, 8066, 850, 2079, 3053, 4114, 4829, 5534, 7168, 7764, 1003, 1555, 3092, 3795, 4741, 5892, 7162, 7470, 91, 2074, 2868, 3415, 4269, 5457, 6724, 7965, 827, 1555, 3080, 3832, 5098, 6135, 6313, 7952, 639, 1496, 3059, 3552, 4316, 5740, 6903, 7650, 641, 1596, 2162, 3245, 4558, 5352, 6358, 7311, 831, 2065, 2589, 3592, 4826, 5368, 6723, 8049, 424, 1628, 2508, 3901, 5060, 5658, 6891, 7488, 571, 1791, 2860, 3901, 5189, 5589, 6370, 7557, 571, 1750, 3098, 3908, 4856, 5210, 6630, 8147, 1056, 1637, 3043, 3440, 4828, 5942, 6630, 8267, 424, 1935, 3144, 3550, 4691, 5216, 7132, 8185, 391, 1845, 2363, 4011, 4558, 5482, 7129, 7876, 641, 1507, 2293, 4093, 4513, 5944, 6611, 7895, 1016, 1373, 2163, 3543, 4264, 5589, 6810, 7865, 942, 2118, 2983, 4158, 4258, 5367, 6859, 7898, 987, 2118, 2988, 3956, 4530, 5438, 6237, 8118, 225, 1519, 2833, 3746, 4898, 5706, 6757, 7496, 225, 1286, 3046, 4114, 5168, 5436, 6878, 8190, 228, 1347, 2375, 3966, 4696, 5883, 6671, 7641, 228, 2127, 2287, 3753, 4844, 5963, 6579, 8262, 228, 2127, 2156, 4125, 4638, 6137, 6809, 8261, 228, 1898, 2316, 3535, 4890, 5515, 6752, 7664, 789, 1756, 3040, 4113, 4644, 6110, 7129, 7865, 789, 1750, 2654, 3374, 4398, 5534, 7069, 7707, 789, 2017, 3133, 3364, 4387, 5241, 6840, 8261, 256, 1750, 2356, 3374, 4890, 5493, 6604, 7260, 183, 1844, 3108, 3967, 4713, 6175, 7017, 8126, 392, 2051, 3049, 3769, 4644, 5548, 6684, 7445, 1023, 1820, 3104, 3751, 5052, 5631, 6224, 7574, 793, 1871, 3116, 3708, 4748, 5334, 7173, 7955, 876, 1494, 3040, 4037, 4539, 5814, 7177, 7669, 319, 1915, 2134, 4137, 5134, 5928, 6226, 8117, 424, 1886, 3097, 3688, 5124, 5658, 6959, 7497, 308, 1974, 2629, 3855, 5149, 5761, 6517, 7533, 804, 1974, 2957, 3874, 4630, 5218, 7198, 7776, 356, 1218, 2838, 3309, 4822, 5436, 6776, 7255, 804, 1933, 2970, 3493, 5165, 5765, 6619, 7664, 356, 1821, 2838, 3886, 5079, 5438, 7120, 7948, 844, 1399, 2398, 3899, 4387, 5725, 6370, 7621, 424, 1770, 3149, 3891, 4955, 5978, 6443, 7515, 1090, 1669, 2975, 3564, 4285, 5677, 6478, 7602, 1024, 1867, 2175, 4055, 4506, 6103, 6614, 7936, 970, 1926, 2980, 4143, 4474, 5223, 6626, 7466, 970, 1489, 2536, 4165, 5018, 6002, 7071, 7458, 776, 2066, 3110, 3276, 4531, 5279, 6801, 7476, 970, 1974, 2555, 3727, 4834, 5810, 6648, 7583, 970, 1436, 2173, 3731, 4458, 6002, 6502, 7807, 913, 1294, 2163, 3239, 4343, 6060, 6919, 7702, 1017, 1178, 3116, 4003, 5011, 5444, 6629, 8241, 862, 1507, 2751, 3742, 4598, 6005, 6263, 8193, 666, 1769, 2271, 3433, 4938, 5264, 6466, 7355, 668, 1397, 3061, 3309, 4404, 5344, 6883, 7907, 491, 2067, 3116, 3341, 4805, 5934, 6803, 8001, 862, 1536, 2399, 4137, 4884, 5734, 7247, 7707, 620, 1369, 2992, 4132, 4881, 6086, 6768, 8168, 487, 2091, 2692, 4055, 4642, 6193, 6663, 7817, 970, 1561, 2369, 3239, 4532, 5706, 6443, 7904, 1097, 1747, 3021, 4096, 4555, 6063, 6899, 8076, 956, 1876, 2949, 3188, 4993, 5550, 7006, 7717, 488, 1175, 3021, 3893, 4704, 6139, 7226, 8179, 488, 2068, 3007, 3645, 4681, 6129, 7132, 7723, 818, 1528, 3006, 3893, 4624, 6195, 7201, 7876, 555, 1974, 2833, 3363, 4782, 5493, 6251, 8179, 617, 1695, 2959, 3188, 4890, 5438, 7098, 8236, 617, 2013, 2356, 4068, 4214, 5935, 6604, 7907, 617, 1496, 2454, 3931, 4555, 5515, 7091, 7919, 617, 1695, 2340, 4092, 4304, 6101, 6800, 7906, 617, 1648, 2596, 3374, 4555, 5385, 6996, 7744, 617, 1974, 2775, 4092, 5190, 5892, 7100, 8266, 617, 2127, 2370, 3596, 4615, 6119, 6938, 7259, 617, 1147, 2775, 4149, 4512, 5296, 6809, 7303, 617, 1750, 2833, 3374, 4384, 5778, 6840, 7869, 617, 1758, 2858, 3879, 5120, 5436, 6810, 7948, 105, 2111, 2729, 4153, 4384, 5515, 6589, 7717, 555, 2111, 3046, 3716, 4512, 5296, 6752, 7831, 555, 2111, 2729, 3374, 5060, 5241, 7226, 7664, 337, 2111, 2493, 3487, 4918, 6137, 6752, 7706, 488, 2032, 2806, 4018, 5166, 5385, 6589, 8093, 510, 1705, 2959, 3367, 5104, 6182, 7098, 7723, 391, 2088, 2356, 3982, 4316, 5903, 7049, 7827, 805, 1843, 2455, 3779, 4518, 5450, 6568, 7333, 723, 2043, 2294, 3688, 4547, 5722, 6706, 7990, 750, 1248, 2338, 3460, 4972, 5366, 6512, 7702, 308, 1867, 2925, 3961, 5027, 5482, 7084, 8225, 337, 2073, 2996, 3590, 5129, 6051, 6258, 7898, 984, 1660, 2925, 4114, 4828, 5661, 6972, 7458, 120, 1633, 3075, 3603, 4270, 6179, 7001, 8030, 967, 1705, 2970, 3595, 4796, 5385, 7111, 7782, 776, 1585, 2530, 4168, 4447, 5661, 6961, 8033, 752, 1302, 2363, 3847, 4379, 5550, 6320, 7952, 1029, 1217, 3039, 3215, 4545, 5405, 7106, 8078, 492, 1926, 2333, 4007, 4476, 5938, 6838, 8008, 492, 1926, 3034, 4173, 4642, 5268, 6258, 7702, 247, 1704, 2274, 4013, 4310, 5848, 6638, 8031, 1080, 1609, 2173, 3380, 4657, 5483, 6926, 8253, 895, 1886, 2376, 3613, 4441, 6150, 6966, 7735, 319, 1350, 2349, 3233, 5074, 5800, 7228, 7613, 424, 1227, 2716, 3183, 5100, 5614, 6830, 7311, 1090, 1369, 2582, 3455, 4285, 5664, 7207, 7899, 826, 1633, 3005, 3162, 4437, 6080, 6898, 8025, 465, 1164, 3097, 3802, 4903, 6147, 6603, 7498, 936, 1550, 2396, 3714, 4495, 5706, 7167, 7827, 993, 1550, 2401, 3329, 5145, 5903, 7050, 7888, 826, 1820, 2751, 3376, 5110, 5800, 6414, 7476, 1057, 2053, 2332, 4027, 4804, 6001, 6338, 7313, 613, 1930, 2751, 4078, 4613, 6137, 6756, 7816, 317, 1453, 2631, 3642, 4467, 5360, 6270, 7538, 225, 1237, 2151, 3824, 4607, 5677, 6871, 8079, 225, 1923, 2144, 3550, 5072, 5472, 7058, 7863, 518, 1252, 2252, 3827, 4583, 5296, 7237, 7826, 568, 2111, 3000, 3798, 5040, 5514, 6938, 7706, 256, 1525, 2440, 3891, 5060, 5296, 6776, 7773, 256, 1525, 2729, 3516, 5088, 5677, 6486, 7732, 256, 2065, 2473, 3516, 5083, 5219, 7096, 8262, 256, 1750, 2473, 3407, 4512, 5385, 6380, 7717, 256, 1597, 2754, 4153, 4549, 5556, 7207, 7563, 256, 1597, 2754, 4174, 4549, 6146, 7120, 8223, 789, 1525, 2669, 4174, 4681, 5493, 6752, 8164, 256, 2065, 3021, 3407, 5159, 5832, 6612, 7732, 617, 2073, 2858, 3891, 4912, 6110, 6612, 8236, 171, 1796, 2947, 3916, 5106, 5210, 7019, 8099, 160, 1449, 2474, 3975, 4953, 5614, 6771, 7537, 876, 1171, 2202, 4153, 4224, 5768, 7063, 7349, 1019, 1349, 2196, 4094, 4233, 5605, 6762, 7497, 1041, 1732, 2848, 4083, 5124, 5838, 7073, 8031, 1040, 2099, 2751, 3639, 5188, 5212, 6540, 7651, 113, 1751, 2327, 3820, 4241, 5959, 7067, 8150, 620, 1397, 2135, 3652, 4636, 6136, 6827, 8252, 582, 1494, 3018, 3761, 4671, 5581, 6443, 7772, 424, 1388, 2716, 3555, 5081, 5626, 6465, 7528, 1090, 1821, 2675, 3292, 4179, 5700, 6609, 7764, 424, 1878, 3053, 3870, 4426, 6056, 6774, 8076, 850, 1676, 2871, 3246, 4530, 5573, 7033, 7367, 610, 2055, 2519, 3169, 4531, 5983, 6954, 8172, 610, 1797, 3098, 3696, 4513, 6131, 7132, 7515, 610, 2055, 2444, 3231, 4368, 5899, 7129, 7387, 1025, 1797, 2959, 3440, 5080, 5784, 6347, 7723, 643, 1794, 2783, 3601, 5127, 6103, 6892, 8048, 453, 1682, 2783, 4074, 4776, 5378, 7230, 7574, 228, 1797, 2473, 3933, 5183, 6086, 6663, 7664, 228, 1525, 2803, 3838, 4822, 6149, 7047, 8076, 225, 2030, 2316, 3886, 5079, 6206, 7090, 8016, 874, 1529, 2886, 3535, 4181, 5248, 6458, 8126, 518, 1789, 2454, 3552, 4307, 5218, 6464, 8213, 256, 2111, 3114, 3795, 4423, 6149, 6338, 7706, 878, 1856, 2473, 3994, 4638, 6175, 7090, 7732, 256, 2030, 3144, 3515, 4287, 5251, 6895, 7336, 256, 1851, 2473, 3407, 4267, 5765, 6901, 8236, 878, 2065, 2542, 3231, 5167, 6101, 6251, 8270, 153, 1496, 2293, 3951, 5142, 6222, 6338, 8107, 216, 1919, 2729, 3610, 4872, 5661, 6302, 7811, 492, 1507, 3033, 3191, 4593, 5526, 6908, 8149, 862, 1399, 2487, 3707, 5069, 6088, 6345, 7704, 1080, 1695, 3116, 3212, 4985, 6131, 6803, 7657, 582, 1796, 3039, 3851, 4995, 5251, 7043, 8041, 103, 2095, 2941, 3210, 4606, 5773, 6878, 8031, 986, 1289, 2934, 3970, 4878, 5918, 7052, 8139, 103, 1485, 2345, 3508, 4321, 5563, 6924, 7422, 211, 1876, 2366, 3770, 4437, 5960, 6393, 7384, 390, 1707, 2750, 3799, 4417, 5792, 6979, 7959, 308, 1876, 3053, 3518, 5080, 5443, 6566, 7705, 684, 1876, 3007, 3363, 4651, 6175, 7170, 8126, 804, 2127, 2582, 4145, 5061, 5296, 6291, 7920, 617, 1570, 2432, 3337, 5060, 5534, 7150, 8066, 568, 2127, 2621, 3475, 4399, 5811, 7120, 7781, 228, 2127, 2332, 3648, 4512, 5609, 6988, 8128, 518, 2127, 2761, 3596, 4985, 5677, 6809, 7303, 240, 1695, 2469, 3552, 5168, 5438, 7152, 7509, 228, 1332, 2669, 3596, 4622, 6157, 7187, 8061, 256, 1961, 2833, 4149, 4512, 6163, 7024, 7781, 240, 2078, 2858, 3552, 4638, 6175, 6899, 7831, 256, 1756, 3097, 4166, 4398, 6101, 7090, 7477, 543, 1851, 2725, 3359, 4716, 5840, 6515, 7563, 543, 1623, 2970, 4113, 4329, 5892, 6671, 7732, 617, 2127, 2858, 3277, 5135, 6189, 6900, 7563, 419, 1684, 2914, 3891, 4240, 5515, 7152, 8126, 488, 1961, 2833, 3914, 5166, 5515, 6612, 8147, 488, 2111, 2806, 3277, 4681, 6186, 7098, 8147, 860, 2017, 2806, 4071, 4704, 6139, 7124, 8196, 201, 1528, 2806, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 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, 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, 4, 2 ]

[ 1, 16, 41, 33, 63, 78, 5, 17, 75, 5, 31, 16, 5, 43, 11, 63, 66, 5, 5, 3, 945, 1528, 2806, 3914, 4704, 6211, 7226, 8147, 201, 2017, 2806, 3893, 4704, 6139, 7124, 8147, 419, 1851, 2164, 3914, 4555, 6149, 6604, 7485, 240, 1509, 2593, 3993, 4617, 6085, 6607, 7481, 769, 1183, 3001, 3570, 4426, 5558, 6874, 7747, 485, 1850, 2497, 3668, 4488, 5578, 6583, 8173, 857, 1238, 2396, 3240, 5128, 5523, 7217, 8262, 568, 2030, 2396, 4089, 4411, 5924, 6623, 7819, 901, 2030, 2480, 3470, 4529, 5218, 7198, 8199, 500, 2030, 2728, 3795, 4437, 5567, 6461, 7648, 440, 1597, 2860, 3188, 4672, 5314, 6889, 7557, 256, 2030, 2422, 3504, 4287, 5360, 7152, 8061, 256, 2030, 3095, 3687, 4870, 5811, 7095, 7290, 901, 2111, 2468, 3795, 4881, 5427, 6500, 7298, 878, 1874, 2468, 3993, 4700, 6101, 6820, 7918, 955, 2065, 2214, 3511, 4439, 5386, 6840, 8227, 660, 1482, 3016, 3332, 4228, 5273, 6698, 8011, 154, 1397, 2271, 3370, 4377, 6135, 6457, 7405, 137, 1397, 3037, 3637, 4876, 6135, 6921, 8046, 994, 2008, 3029, 3393, 5148, 5396, 6883, 7997, 247, 1472, 2197, 3363, 4606, 6108, 6615, 7578, 737, 1882, 2152, 4072, 5188, 5831, 6955, 8108, 363, 1389, 2292, 3239, 4280, 5745, 6316, 7898, 1101, 1882, 2506, 3904, 4412, 6125, 6659, 7549, 725, 1951, 2462, 3171, 5124, 6086, 6545, 7490, 692, 1472, 2607, 3282, 4205, 6135, 6955, 8127, 668, 1976, 2414, 3251, 5031, 6177, 6565, 8143, 1024, 2099, 3020, 3570, 4176, 5863, 6529, 7490, 668, 1758, 2581, 3323, 4776, 5645, 6542, 7651, 913, 1309, 2378, 3788, 4733, 5893, 7198, 7955, 668, 1800, 2987, 3601, 4440, 5745, 6901, 7635, 725, 1812, 2638, 3765, 4288, 5517, 6764, 7276, 504, 1507, 3029, 3986, 4562, 5447, 6622, 7842, 1057, 2048, 2867, 3936, 4417, 5894, 6574, 8265, 715, 2107, 2156, 3933, 4189, 5447, 6414, 7745, 654, 1806, 3130, 3933, 4454, 5823, 6877, 7367, 654, 1806, 2212, 3486, 5052, 5896, 6340, 8193, 1014, 1550, 3131, 3161, 4603, 5539, 6576, 7913, 317, 1676, 3091, 3819, 4887, 6097, 6776, 7476, 1033, 1507, 2132, 3300, 4944, 5610, 6911, 7750, 344, 2036, 2867, 3259, 4636, 5512, 7065, 8263, 113, 1507, 2796, 4079, 4947, 5760, 6838, 8202, 546, 2059, 3029, 3869, 4440, 6117, 6694, 8197, 123, 1199, 3148, 3913, 4742, 6106, 6746, 7273, 473, 1747, 2798, 3793, 4444, 5475, 7170, 7527, 684, 1777, 2947, 3175, 4980, 6111, 6630, 8209, 308, 1508, 2780, 4115, 5022, 5730, 6901, 7641, 684, 2046, 2947, 4068, 4912, 5892, 7084, 7641, 1056, 1851, 2936, 3645, 4849, 5534, 6467, 7791, 211, 1851, 2895, 3710, 4512, 6175, 6891, 7641, 386, 1199, 2910, 3581, 4827, 5893, 6409, 7918, 331, 1704, 2951, 3233, 4533, 5442, 6649, 7312, 485, 1618, 2951, 3229, 4531, 6183, 6780, 7975, 485, 2100, 2580, 3658, 4205, 5477, 6608, 8230, 1030, 1312, 2951, 4014, 4815, 5205, 7247, 7993, 708, 1974, 2576, 3843, 5053, 5792, 6234, 7457, 779, 1248, 2212, 3838, 5145, 6119, 6722, 7476, 857, 1898, 2173, 3413, 4482, 5623, 7168, 8231, 1015, 2043, 2316, 3929, 4922, 5768, 6551, 7627, 746, 1963, 2579, 3564, 4324, 5792, 7184, 7900, 776, 1519, 2860, 3339, 4867, 6000, 6980, 7303, 650, 1727, 2536, 3778, 4707, 5403, 7186, 7618, 100, 1497, 2995, 3814, 5123, 5596, 7229, 7988, 242, 1393, 3078, 3486, 4369, 5454, 6603, 7873, 247, 1352, 2844, 3876, 4338, 5557, 6384, 7758, 492, 1535, 3011, 3713, 4542, 6220, 7229, 7525, 203, 1402, 3040, 3326, 5158, 5653, 6803, 7676, 1067, 2050, 2626, 3153, 4804, 5722, 6779, 7607, 508, 1812, 2189, 3924, 5128, 6197, 6735, 7676, 673, 1897, 3010, 4128, 4369, 5964, 6683, 8140, 465, 1390, 2227, 3573, 5175, 6034, 6422, 7367, 738, 1786, 3010, 3874, 5054, 5863, 6746, 8140, 296, 2059, 3106, 3259, 4332, 5828, 6493, 7301, 693, 2059, 2627, 3684, 4218, 5800, 6372, 7962, 693, 1510, 2520, 3578, 4270, 5549, 6550, 7704, 571, 1865, 2422, 3684, 4836, 5710, 6325, 7419, 935, 1943, 2998, 3480, 4588, 6003, 7037, 7421, 337, 1963, 3008, 4114, 4589, 5534, 6774, 7458, 421, 1633, 2341, 3662, 4884, 5520, 6400, 7607, 617, 1695, 2210, 4078, 5193, 5610, 6622, 7960, 935, 1684, 2729, 4145, 5120, 5350, 7246, 8076, 488, 2017, 2746, 4071, 4624, 5661, 7077, 7949, 818, 2017, 2746, 3803, 4583, 6195, 7218, 7806, 818, 2017, 2914, 3893, 4888, 6139, 7239, 8196, 555, 2017, 3021, 3374, 4888, 5844, 6677, 7865, 859, 1684, 2970, 3391, 5083, 5219, 7090, 7766, 617, 2127, 2858, 3914, 4536, 5246, 6688, 7876, 183, 1736, 2839, 3777, 4181, 5580, 7207, 8236, 105, 2002, 2941, 3827, 4387, 5514, 6607, 7664, 617, 2002, 3064, 3931, 4762, 5220, 7120, 7707, 617, 1695, 2611, 3550, 5060, 5580, 6986, 7559, 105, 1684, 3021, 3550, 4512, 5219, 6810, 7476, 105, 1147, 2340, 3550, 4888, 5580, 6809, 7706, 105, 2106, 2875, 4078, 4681, 5580, 6338, 7706, 859, 2002, 2970, 3374, 5166, 5987, 6604, 8128, 105, 1695, 2792, 3680, 5166, 6160, 6466, 8164, 4, 2 ]

[ 1, 28, 17, 66, 5, 43, 48, 5, 44, 54, 64, 45, 64, 66, 16, 30, 5, 11, 54, 5, 43, 45, 78, 5, 63, 26, 66, 64, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2164, 3825, 4624, 6139, 6794, 7766, 186, 1528, 3143, 4018, 5038, 5612, 7124, 7723, 211, 1668, 3128, 3990, 5012, 6182, 6786, 7949, 716, 1935, 2971, 4130, 4573, 5220, 6630, 7887, 660, 1723, 2409, 3623, 4934, 6095, 6828, 7273, 249, 1799, 3040, 3245, 4928, 6034, 6594, 7930, 840, 1346, 3103, 3252, 4413, 5624, 6262, 8135, 1024, 1309, 3040, 3545, 4495, 5535, 6263, 8219, 1091, 1503, 2188, 3459, 5066, 5655, 6706, 8020, 537, 1596, 2546, 3512, 5135, 5624, 7045, 7632, 216, 2065, 2293, 4085, 4612, 5995, 6810, 7303, 779, 1508, 2959, 4041, 4512, 5935, 6588, 7557, 984, 1933, 2326, 3909, 4980, 5832, 6302, 7574, 186, 1705, 2834, 4174, 4782, 5241, 7239, 8147, 1099, 1508, 2781, 4174, 5159, 6129, 6515, 8260, 956, 1869, 3117, 4018, 4782, 5968, 6709, 7949, 859, 1510, 3062, 3662, 4780, 5825, 6772, 8261, 859, 1623, 2775, 3595, 4780, 5963, 6291, 8266, 488, 1623, 2833, 4071, 4704, 5892, 6996, 8147, 488, 1528, 2806, 3893, 4624, 6081, 7077, 7949, 488, 1528, 2164, 3825, 4624, 6139, 7077, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 6186, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 859, 1623, 2880, 4068, 4622, 5413, 7006, 7865, 105, 1858, 2138, 4113, 5138, 5942, 6996, 7664, 160, 1206, 2309, 4130, 4693, 5906, 6551, 7510, 189, 1550, 3116, 4003, 4935, 6201, 7047, 8108, 807, 2059, 2422, 3900, 4717, 5729, 6399, 8245, 807, 2059, 2422, 3900, 5190, 6034, 7126, 7913, 807, 2008, 2661, 3770, 5023, 5810, 7040, 7537, 807, 1407, 2487, 4003, 4258, 5810, 6905, 8219, 807, 2033, 2309, 3850, 5054, 5594, 7012, 7669, 807, 1717, 2987, 3582, 5085, 6034, 7204, 8026, 807, 1717, 3116, 3582, 4751, 5787, 7099, 7563, 545, 1350, 2429, 3394, 5115, 5828, 7012, 7809, 826, 1550, 2429, 3421, 4743, 6040, 6668, 7531, 778, 1692, 2751, 3855, 4191, 5429, 6802, 7559, 443, 1633, 2751, 3838, 5122, 5344, 7147, 7704, 465, 1630, 2693, 3165, 4321, 6083, 7010, 7996, 1057, 1326, 2750, 3832, 4195, 5437, 6914, 7584, 1057, 1938, 2492, 3979, 5097, 5633, 6736, 8129, 271, 1652, 2553, 4150, 4205, 5828, 6870, 7538, 1090, 1494, 2895, 3623, 5078, 5661, 7069, 8194, 304, 2068, 2636, 3918, 4374, 6147, 7017, 8093, 504, 1637, 3003, 3795, 4845, 6205, 7143, 7312, 643, 1388, 2754, 4128, 4773, 5573, 7111, 7447, 887, 1227, 2678, 4011, 4287, 5315, 7163, 7959, 857, 1747, 2709, 4033, 5104, 5204, 6876, 7920, 518, 1961, 2971, 3236, 4411, 5771, 6890, 7559, 195, 1570, 2998, 3966, 4777, 6120, 7133, 7304, 195, 1286, 3040, 3815, 4344, 5210, 6347, 8266, 518, 2127, 2869, 3277, 4381, 5811, 6468, 8085, 518, 2127, 2359, 3931, 4638, 5677, 6803, 7509, 518, 1971, 2356, 3662, 4512, 5942, 6889, 7557, 183, 1332, 3002, 3595, 5135, 5413, 6256, 8130, 859, 2061, 2839, 3332, 5160, 5219, 7103, 7732, 335, 2063, 2238, 3188, 4427, 5787, 7129, 7797, 492, 2067, 2543, 3251, 4259, 5313, 6965, 8101, 616, 1816, 2725, 3356, 5107, 5558, 6965, 7675, 113, 2067, 2951, 3428, 4526, 5797, 6939, 8187, 756, 1178, 2348, 3356, 4259, 5613, 6772, 8073, 518, 1436, 2332, 3424, 5193, 6063, 6443, 7591, 195, 1540, 3097, 3798, 4849, 5527, 7003, 7605, 195, 1488, 3040, 3550, 4870, 6034, 6705, 7384, 654, 2106, 3144, 3394, 5167, 5433, 7091, 8118, 518, 1756, 3064, 4113, 5138, 5548, 6889, 7262, 240, 2002, 2839, 3394, 4877, 5672, 6736, 7477, 789, 2106, 2316, 3931, 4916, 5678, 6291, 8147, 419, 1851, 3021, 3803, 4890, 6211, 6338, 8147, 789, 1750, 3117, 4145, 4638, 5296, 7232, 8147, 240, 1623, 2221, 4174, 5138, 5981, 6752, 8164, 240, 1623, 3021, 3891, 4918, 5515, 6889, 7677, 356, 1858, 2833, 3975, 4423, 5678, 7232, 7563, 335, 1370, 2587, 3928, 4998, 5280, 7069, 7822, 761, 1717, 2487, 4095, 5193, 6217, 7065, 7764, 247, 1924, 2271, 3225, 4346, 6004, 7229, 8061, 448, 1930, 2522, 3802, 5167, 5310, 6612, 7698, 691, 1510, 3106, 3364, 5007, 6063, 6730, 8242, 844, 1350, 2488, 3593, 4576, 6125, 6899, 7706, 535, 2056, 2627, 3417, 5000, 5610, 7062, 8044, 137, 1865, 2476, 3741, 4902, 5723, 7210, 8197, 774, 2011, 2974, 4025, 4342, 5872, 6390, 7578, 531, 1766, 2254, 4005, 4718, 6141, 6828, 8268, 763, 1582, 2848, 3514, 4731, 6107, 6388, 7583, 296, 1248, 2355, 3520, 5144, 5964, 6360, 7955, 296, 1682, 2593, 3748, 4910, 5810, 6234, 8034, 693, 1463, 3049, 3678, 4818, 6013, 6693, 7358, 770, 1919, 2737, 3596, 4806, 6158, 6828, 8049, 211, 1865, 2915, 3982, 4604, 5929, 6889, 7658, 390, 2068, 2577, 3961, 4374, 6182, 6566, 8126, 980, 1218, 3064, 3516, 4713, 5832, 7095, 8237, 211, 1897, 3007, 3776, 4551, 5630, 6668, 7602, 1071, 1581, 2151, 4145, 4762, 5630, 7114, 7959, 103, 1919, 2332, 4135, 5178, 5517, 6550, 7997, 113, 1112, 2144, 3994, 4437, 6119, 6670, 7936, 986, 1397, 2355, 4151, 4900, 6074, 7050, 7549, 807, 1335, 2345, 3855, 4995, 6128, 6614, 7376, 271, 1708, 2411, 3329, 4494, 5354, 7232, 7878, 884, 1494, 2137, 3943, 4536, 5257, 7086, 7649, 807, 1494, 2332, 3329, 4933, 6016, 6292, 7869, 465, 2033, 2610, 3394, 5110, 6179, 6476, 8057, 923, 1421, 2783, 3393, 5043, 5794, 6494, 8150, 317, 1421, 2988, 3811, 4952, 5640, 7052, 7397, 225, 2107, 2519, 3896, 4872, 5323, 7229, 7953, 225, 1468, 3000, 3785, 4945, 6118, 6815, 7867, 183, 1724, 2992, 4168, 4775, 5765, 6613, 7732, 617, 1269, 2793, 3511, 4737, 5796, 6338, 8099, 833, 1545, 3139, 3695, 4179, 5606, 6911, 8126, 405, 1978, 2316, 3982, 4983, 6157, 7229, 7528, 373, 2079, 2258, 4171, 4573, 5515, 6988, 7355, 1025, 1499, 3038, 3755, 4215, 5923, 6980, 7458, 1067, 1424, 2534, 3398, 4932, 6063, 7060, 8174, 1067, 1158, 2424, 3819, 4417, 5396, 6917, 7405, 1067, 1158, 2424, 3834, 4396, 5565, 6497, 8215, 344, 2060, 2231, 3964, 5164, 5926, 6999, 7627, 840, 1937, 2751, 3349, 4495, 5491, 6664, 8137, 493, 1865, 2751, 3642, 5111, 5948, 7094, 7911, 759, 1934, 2987, 3816, 4413, 5374, 6244, 7479, 730, 1375, 2459, 3892, 4364, 5541, 6587, 7350, 662, 1283, 2355, 3357, 4813, 6077, 6738, 8047, 662, 1286, 2601, 3443, 4635, 5512, 6507, 8085, 952, 1942, 2805, 3356, 5045, 6084, 6346, 7725, 952, 1834, 3029, 3764, 5051, 6221, 6903, 8197, 103, 2107, 2480, 4025, 5114, 6189, 6625, 8070, 103, 1797, 3049, 4115, 4555, 6094, 6860, 7421, 1097, 2097, 3043, 4115, 4912, 5385, 7201, 7831, 510, 2020, 3128, 3827, 5165, 6205, 6515, 8260, 186, 1992, 2781, 3645, 4583, 5705, 6630, 8179, 878, 1623, 3133, 3904, 4850, 5534, 6310, 7508, 195, 2106, 2860, 3746, 4644, 5865, 6889, 7563, 195, 2127, 2669, 4166, 4533, 6163, 6757, 8179, 654, 1597, 2554, 3934, 5053, 5413, 6584, 7563, 654, 1345, 3131, 3376, 5159, 5581, 6752, 8076, 654, 1345, 2833, 4166, 5159, 6110, 6612, 8076, 518, 2127, 2761, 3470, 5135, 6163, 6809, 7537, 228, 1525, 2833, 3376, 4870, 6149, 6612, 8237, 518, 2127, 2221, 4068, 4870, 5241, 6677, 8130, 518, 1606, 3064, 3227, 4535, 5689, 7024, 7602, 228, 1332, 2487, 4153, 4638, 5515, 7019, 7260, 256, 1750, 2554, 4145, 5135, 5333, 6607, 7473, 419, 1684, 2554, 3595, 5193, 5935, 6996, 7563, 488, 2017, 3117, 3367, 5135, 5844, 6810, 8237, 915, 2017, 2806, 3595, 4624, 5241, 6889, 8196, 488, 1528, 2914, 3595, 4624, 6139, 7124, 8196, 915, 2017, 2914, 3825, 4798, 6139, 7124, 8196, 915, 1622, 2914, 4145, 4798, 5241, 7124, 7865, 555, 1623, 2880, 3827, 5166, 5677, 7006, 8083, 555, 1648, 2833, 3825, 4798, 5677, 7120, 7766, 859, 2127, 2806, 3374, 5038, 5514, 6584, 7563, 859, 1974, 2833, 4166, 5079, 5981, 6612, 8126, 555, 1648, 3021, 4071, 4387, 5241, 6612, 7723, 555, 1684, 2970, 4083, 4870, 5515, 7098, 8223, 105, 1586, 3143, 4145, 4859, 6182, 7098, 7715, 859, 2127, 2858, 3891, 4583, 5515, 6251, 8223, 617, 1468, 2775, 3914, 4398, 5963, 6996, 7563, 105, 2106, 2833, 3891, 5135, 5580, 6589, 7563, 105, 1684, 2775, 4171, 4890, 5241, 6251, 7706, 105, 2106, 2858, 4018, 5079, 5385, 6688, 7831, 4, 2 ]

[ 1, 31, 16, 5, 76, 36, 51, 64, 5, 43, 14, 75, 44, 55, 5, 64, 17, 41, 35, 30, 5, 5, 5, 53, 20, 63, 5, 20, 63, 5, 52, 33, 64, 5, 5, 5, 41, 63, 17, 53, 5, 51, 35, 57, 79, 16, 54, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7124, 8223, 488, 1648, 2806, 4170, 4551, 6139, 6794, 8223, 488, 1622, 3065, 3367, 4624, 6129, 6794, 7485, 488, 1528, 3065, 3893, 4822, 6085, 6794, 8260, 510, 1705, 2960, 3516, 4583, 5216, 6988, 8185, 731, 1797, 2960, 4113, 4583, 5677, 7201, 8066, 886, 1682, 3101, 3904, 4929, 6218, 6820, 7856, 299, 1682, 2163, 3232, 4707, 5810, 6287, 7817, 988, 2050, 2716, 3937, 4807, 5943, 6669, 7881, 104, 1660, 2282, 3218, 5128, 6000, 7177, 7394, 641, 1873, 2659, 3869, 5030, 5775, 6961, 7889, 424, 1227, 3109, 3495, 4185, 5613, 7232, 7672, 1090, 1773, 2746, 4115, 5141, 5883, 7084, 7948, 288, 1867, 3144, 3886, 4334, 6014, 7218, 7311, 1090, 1534, 2783, 4115, 4900, 6051, 6852, 7918, 424, 2041, 2860, 3206, 4256, 6085, 6786, 7393, 211, 1218, 2984, 4108, 5139, 5702, 7047, 7677, 150, 2088, 2456, 3240, 4284, 5898, 6734, 7768, 895, 1858, 2993, 3321, 5195, 5616, 6840, 7458, 271, 1335, 3060, 4029, 4579, 6073, 6760, 8132, 271, 1608, 2400, 3970, 4542, 6074, 6711, 7771, 277, 2009, 2242, 3998, 4506, 5585, 7182, 7462, 876, 1499, 2511, 3880, 4494, 6085, 7190, 7518, 547, 1700, 2301, 3846, 4763, 5579, 6273, 8155, 113, 1736, 2173, 3778, 4521, 5445, 6803, 8170, 1024, 1736, 2173, 3695, 5017, 5918, 7048, 7684, 641, 1141, 2250, 3997, 5127, 5513, 6579, 7545, 1056, 2073, 2760, 4039, 4763, 6039, 6302, 8244, 956, 1620, 2369, 3671, 5115, 6205, 6901, 7782, 1099, 1856, 2340, 4171, 5106, 5832, 6776, 7557, 818, 1175, 2960, 3440, 4704, 5534, 7084, 7949, 935, 2073, 3006, 3188, 5080, 5210, 6688, 7723, 541, 1736, 3124, 3599, 5143, 5676, 6919, 7904, 654, 1550, 2454, 3623, 5075, 5795, 6584, 8086, 654, 1570, 2473, 3960, 4381, 5792, 7024, 7781, 654, 1283, 2221, 3564, 5079, 5438, 7098, 7570, 256, 1434, 2282, 3518, 4237, 6222, 7049, 7664, 552, 1623, 3143, 3518, 4387, 5677, 7100, 8179, 759, 1510, 2356, 3635, 4716, 5815, 6551, 7990, 360, 1653, 2238, 3469, 5090, 5397, 6663, 7669, 997, 1794, 2346, 4057, 5070, 5955, 6573, 7457, 723, 1597, 2731, 3394, 4226, 5523, 6348, 7413, 774, 2036, 3055, 3741, 5138, 5526, 6909, 8108, 396, 1507, 2464, 3875, 4902, 6135, 6538, 7926, 913, 1380, 2378, 3410, 4364, 5471, 6686, 7904, 804, 2063, 2754, 3826, 4762, 6163, 7023, 8132, 308, 1475, 2293, 3361, 4713, 5767, 6515, 8185, 899, 1171, 2515, 3916, 4207, 5767, 6850, 8076, 613, 1596, 2627, 3909, 4470, 5918, 7017, 8240, 113, 1806, 2803, 3892, 4282, 5865, 7078, 8209, 487, 1255, 2566, 3855, 4593, 5250, 6350, 8017, 807, 1570, 2250, 3212, 5111, 5810, 6856, 8207, 391, 1121, 2566, 3464, 4670, 5737, 6492, 7466, 104, 1512, 2868, 3395, 4494, 5757, 6623, 8102, 1025, 1685, 2924, 3759, 4954, 5663, 6760, 8187, 826, 1858, 2480, 3695, 5062, 5344, 6520, 7367, 104, 1858, 2671, 3848, 5109, 5656, 7063, 7602, 390, 1867, 2492, 3339, 4555, 5641, 6484, 7664, 899, 1620, 2833, 4026, 4871, 5736, 6668, 8172, 699, 1286, 2725, 3233, 5139, 5923, 7154, 7535, 654, 1490, 2775, 3227, 4801, 6085, 7100, 8239, 518, 2118, 2976, 3933, 5138, 6001, 6486, 7862, 518, 1750, 2941, 3796, 4307, 5935, 6412, 7256, 518, 2111, 3110, 3586, 4344, 5767, 6584, 7717, 256, 1286, 2554, 4071, 5127, 6102, 6515, 8066, 1056, 2111, 2554, 3994, 5169, 6182, 6787, 8263, 1033, 2059, 2187, 4067, 5007, 5600, 7082, 7612, 997, 1777, 2346, 4139, 4417, 5418, 6906, 7962, 584, 2009, 2346, 3611, 4773, 5585, 6474, 7881, 404, 1673, 3130, 3892, 4338, 5512, 6284, 8128, 1054, 1865, 2532, 3751, 5169, 5982, 6474, 8220, 1056, 1141, 2149, 3298, 4214, 5968, 6740, 8189, 1099, 1304, 3109, 3892, 4895, 5493, 6752, 7311, 518, 1345, 2340, 3904, 5169, 5844, 6784, 8262, 518, 1623, 2468, 3795, 4859, 5899, 6840, 8093, 757, 2060, 3053, 3582, 5058, 5573, 7090, 7410, 171, 1333, 3092, 3795, 5058, 6163, 7232, 7284, 1071, 1865, 2244, 3873, 4225, 6137, 7228, 7318, 1071, 2001, 2742, 3428, 4459, 6180, 6818, 7846, 1057, 1139, 2440, 3434, 4358, 5933, 6480, 8085, 778, 1333, 2378, 4073, 4635, 5273, 7064, 7927, 831, 1388, 2589, 3679, 4352, 6078, 6477, 8161, 684, 1238, 2833, 3795, 4423, 6211, 6642, 8267, 779, 1660, 2326, 4115, 5106, 5219, 6668, 7899, 308, 1747, 3064, 3201, 4366, 6129, 6515, 8179, 684, 2046, 2980, 3961, 4888, 5705, 6979, 8266, 424, 2009, 2515, 3192, 5125, 5844, 6311, 7336, 663, 1182, 2837, 4145, 5183, 6085, 6809, 7570, 1090, 1978, 2946, 4068, 5098, 6007, 6584, 8034, 826, 1269, 3112, 3964, 5000, 5976, 6584, 7383, 887, 1931, 2710, 3796, 4554, 5899, 6800, 7962, 936, 1486, 2818, 4005, 4603, 5970, 6955, 7787, 1008, 1399, 2198, 3276, 4295, 5601, 6344, 7423, 610, 1674, 2231, 4090, 4206, 6092, 6614, 7930, 1057, 1469, 2800, 3605, 4607, 6176, 7078, 7480, 1063, 1893, 2966, 3294, 4684, 5588, 6716, 7758, 271, 1703, 2822, 3498, 4805, 5350, 6244, 7481, 1067, 1593, 2845, 3895, 4293, 5265, 6813, 7393, 938, 1867, 2273, 3871, 5158, 6018, 6292, 8198, 1024, 2052, 2569, 3161, 5178, 5934, 6653, 8067, 1008, 2052, 2715, 3401, 4774, 5213, 7154, 8210, 277, 1424, 2485, 3740, 4906, 5925, 6476, 8189, 547, 1986, 2517, 4037, 4757, 5759, 6936, 7996, 938, 1663, 2559, 3868, 5154, 5307, 6613, 8241, 113, 1849, 2130, 3393, 4298, 5384, 6975, 7818, 208, 1455, 2135, 3792, 4609, 5449, 6828, 7560, 862, 1838, 2260, 3634, 4548, 5435, 7086, 7728, 582, 1463, 2130, 3446, 4788, 5577, 6859, 8217, 1084, 1912, 2173, 3446, 4734, 5512, 6258, 7524, 1090, 1146, 2452, 3201, 4348, 5344, 7119, 7255, 1024, 1199, 2435, 4128, 4809, 5660, 7008, 8227, 938, 2050, 2396, 3486, 4311, 5547, 6628, 7887, 1024, 1708, 2137, 3283, 4529, 5991, 6820, 7518, 1040, 1770, 2751, 4015, 4564, 5935, 7230, 8012, 293, 1369, 2810, 3943, 4943, 5341, 6881, 8249, 730, 2105, 2750, 3936, 4705, 5665, 6806, 7822, 730, 2107, 3058, 3986, 5070, 5257, 6346, 7975, 1057, 1489, 2848, 3231, 4384, 6002, 7102, 7525, 1003, 1653, 2871, 3457, 4594, 5512, 6535, 7796, 952, 1821, 2429, 3913, 4205, 6017, 6663, 8234, 715, 1510, 2941, 3472, 4867, 5966, 6883, 7971, 228, 1269, 2709, 3649, 4764, 5385, 6909, 8012, 225, 1264, 2788, 3334, 5180, 5250, 6607, 8015, 654, 1826, 2473, 4006, 5167, 5520, 7120, 8061, 518, 1826, 2839, 3574, 4682, 5734, 6876, 8266, 228, 1490, 3091, 3761, 4486, 5543, 6889, 7831, 518, 1131, 2775, 4125, 5193, 6110, 7098, 7838, 228, 1137, 2454, 3348, 5134, 5500, 6765, 8094, 757, 1490, 2729, 3879, 4606, 5719, 6604, 8126, 256, 2030, 2941, 3680, 4287, 5677, 6701, 8236, 518, 2030, 2340, 3914, 4993, 5811, 7072, 7260, 440, 2106, 2880, 3932, 4859, 6110, 6478, 8185, 878, 2106, 2473, 3470, 4334, 5439, 6579, 7876, 103, 2067, 3092, 3819, 4601, 5930, 7084, 7987, 959, 1770, 2381, 3961, 4589, 5816, 7132, 7753, 1067, 1982, 2381, 4153, 4884, 5598, 6980, 8089, 569, 1459, 2790, 3735, 4212, 5776, 6414, 8022, 831, 1850, 2636, 3396, 4891, 5658, 7048, 7699, 1025, 1255, 2330, 3822, 4437, 5516, 7021, 7447, 424, 1782, 2352, 4082, 4764, 5425, 6265, 7664, 1090, 2033, 2515, 4096, 4764, 5482, 7058, 7421, 304, 1685, 3006, 3582, 5020, 6171, 6584, 7899, 390, 1881, 2254, 3488, 4782, 5573, 7239, 7918, 132, 2032, 2266, 4018, 4630, 5911, 7098, 8267, 132, 1700, 2960, 3901, 4622, 5963, 7201, 8185, 914, 1620, 2315, 3932, 4980, 6186, 6589, 7658, 579, 1964, 2729, 4027, 4562, 5436, 7023, 7918, 293, 1139, 2265, 3481, 5089, 5226, 6805, 7317, 959, 2125, 2454, 4068, 5179, 5372, 7048, 8164, 685, 2088, 2810, 3840, 4195, 5481, 6413, 7503, 1067, 2001, 2790, 3986, 4865, 5837, 6542, 7815, 993, 1239, 2686, 3986, 4332, 5222, 6941, 7939, 1029, 1350, 2498, 3388, 4890, 5567, 6840, 7473, 1025, 1494, 3072, 3262, 5164, 5717, 6814, 7690, 1025, 1897, 2992, 3388, 4282, 5694, 6870, 8069, 1025, 1797, 2320, 3891, 4555, 5359, 6791, 8266, 610, 1675, 2989, 3487, 4555, 5654, 6898, 7811, 887, 1459, 2716, 3998, 4337, 5944, 6563, 7291, 536, 1453, 2743, 3975, 4483, 6014, 7016, 8129, 936, 2056, 2332, 4079, 4930, 5824, 6316, 7737, 137, 1831, 2173, 3842, 4189, 5404, 6760, 7551, 876, 1674, 3066, 3472, 4575, 5745, 6736, 8002, 1008, 1753, 2850, 3869, 4364, 5341, 6708, 7656, 1024, 1581, 2506, 3456, 4770, 6118, 6275, 7610, 887, 1177, 2207, 3515, 4258, 5552, 6588, 7908, 104, 1660, 2230, 3962, 5124, 5283, 6537, 7873, 1025, 1317, 3032, 3513, 4494, 6204, 7140, 7792, 424, 1675, 2387, 3253, 4350, 5797, 6631, 7563, 1090, 1146, 2250, 3605, 4954, 6146, 6719, 7735, 424, 1141, 2250, 3472, 4441, 5360, 7063, 8187, 390, 2002, 2144, 3193, 5115, 5481, 6776, 7887, 118, 1510, 2598, 4015, 4983, 5582, 6348, 8082, 421, 1935, 2242, 3930, 4670, 5689, 6702, 7664, 568, 1958, 3064, 3674, 4622, 5597, 7058, 7664, 568, 2034, 2775, 3930, 4374, 5591, 6603, 7660, 183, 1510, 2975, 4125, 5134, 5837, 7069, 8261, 757, 1286, 2287, 3967, 4459, 6163, 6832, 7577, 552, 1918, 3018, 3961, 4918, 5296, 6410, 8083, 955, 1653, 2924, 3692, 5183, 5610, 6740, 7918, 104, 1459, 3074, 3201, 4720, 5658, 7038, 7508, 113, 1728, 2188, 3455, 4918, 5899, 7010, 7476, 1057, 1758, 2800, 3427, 5049, 5788, 6583, 7597, 1090, 1545, 2440, 4145, 4663, 5555, 6270, 7613, 1057, 1164, 2900, 3970, 4588, 5436, 6778, 7598, 831, 1141, 2498, 4152, 4385, 6009, 6824, 7941, 610, 1141, 2887, 3756, 4334, 6118, 6915, 7975, 951, 1507, 2794, 3502, 4179, 5534, 6967, 7571, 951, 1858, 2582, 3679, 5110, 5317, 6918, 8238, 678, 1141, 2760, 3472, 4700, 6063, 6702, 7799, 804, 2125, 2991, 3918, 5061, 6205, 7201, 8209, 555, 1623, 2212, 4085, 4913, 5493, 6988, 8195, 488, 1622, 3117, 3891, 4822, 6085, 7201, 8260, 488, 2017, 2806, 3982, 4624, 6139, 7201, 8223, 488, 2017, 2806, 3893, 5058, 6139, 7239, 7766, 818, 1648, 2806, 3893, 4624, 6139, 6794, 8267, 555, 1750, 2914, 3891, 4798, 5678, 6752, 8080, 555, 2111, 3147, 4068, 5083, 5534, 7006, 8147, 859, 1490, 3064, 4166, 4888, 5811, 6515, 8179, 859, 2111, 2970, 3391, 4890, 5241, 6338, 7723, 555, 1304, 3147, 4068, 5159, 5901, 6604, 7563, 555, 2106, 3065, 4068, 4512, 6163, 7129, 8261, 555, 1648, 2858, 3827, 4622, 6149, 6772, 7677, 859, 2127, 3147, 3803, 5157, 6163, 7152, 7485, 859, 1468, 2775, 4153, 5127, 5942, 7098, 7421, 555, 1648, 2858, 4068, 4888, 5241, 6810, 7563, 552, 1695, 2340, 3680, 5157, 6160, 6688, 8076, 555, 1468, 2833, 4153, 4624, 5436, 7077, 8223, 555, 1648, 2554, 3374, 4870, 5677, 6809, 7715, 555, 1684, 3064, 3391, 4583, 6139, 6996, 8126, 4, 2 ]

[ 1, 26, 5, 14, 53, 5, 54, 11, 66, 5, 64, 57, 5, 57, 52, 30, 5, 14, 78, 5, 66, 73, 5, 28, 48, 5, 64, 66, 73, 62, 16, 30, 5, 77, 33, 66, 5, 5, 3, 201, 2111, 3143, 4071, 4888, 6211, 6589, 8054, 186, 2032, 3143, 3891, 5159, 6081, 6972, 8185, 142, 1528, 2914, 3825, 4798, 5241, 7077, 7949, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 186, 1648, 2914, 3891, 5060, 6186, 7226, 8147, 617, 2065, 2860, 3595, 4890, 5436, 7160, 7677, 448, 1681, 2331, 4078, 4294, 6034, 6770, 8248, 640, 2118, 2507, 3925, 4327, 5325, 6295, 7690, 739, 1800, 2282, 3152, 4818, 5980, 6692, 7435, 493, 1834, 2784, 3720, 4776, 5948, 6373, 7396, 546, 1397, 2355, 4162, 4664, 6023, 7145, 8234, 363, 1283, 2602, 3427, 4850, 5244, 6518, 7288, 862, 1849, 2487, 3219, 4316, 5269, 6466, 7736, 862, 1434, 2439, 3349, 4714, 5797, 6581, 7675, 884, 1356, 3103, 3298, 4800, 5504, 7036, 7405, 728, 1507, 2265, 3676, 4832, 5303, 7183, 7478, 1067, 1767, 2788, 3611, 4671, 5361, 6883, 8082, 223, 1763, 2912, 3873, 5006, 5694, 7193, 7264, 767, 1892, 2903, 3187, 4665, 5424, 6734, 7966, 335, 1120, 2766, 3511, 4556, 5756, 6903, 7386, 716, 1120, 2515, 3755, 4536, 5539, 6809, 7973, 504, 1356, 2610, 4078, 4534, 6000, 6809, 7776, 547, 1637, 2750, 3429, 4966, 6104, 7125, 7664, 685, 2095, 2678, 3660, 5000, 6163, 7181, 7395, 611, 1763, 2690, 3994, 4529, 5658, 6761, 8172, 862, 1320, 2292, 3418, 4826, 5228, 6978, 7842, 128, 1199, 2477, 3223, 4717, 5566, 6505, 7812, 381, 1757, 2505, 3816, 4776, 5579, 6857, 7650, 428, 1988, 2491, 3519, 5032, 5203, 6541, 8104, 179, 1547, 3072, 3752, 4332, 5450, 6389, 8127, 192, 1190, 2174, 3526, 4650, 5977, 6798, 7296, 472, 1183, 2652, 3155, 4332, 5239, 6234, 7605, 942, 1301, 2995, 3752, 4277, 5804, 6509, 7855, 510, 1407, 2803, 3488, 5009, 6063, 6467, 8054, 935, 1998, 2984, 4145, 4374, 6146, 7201, 7723, 186, 2073, 2781, 4114, 4287, 6081, 6852, 7485, 935, 1304, 2586, 4171, 5165, 5901, 6589, 8083, 240, 1992, 3144, 4026, 5138, 5963, 6515, 7777, 127, 1623, 2904, 3188, 5075, 5792, 6900, 7563, 518, 2127, 2356, 3933, 4828, 5844, 7232, 7574, 654, 1826, 2904, 3631, 4814, 5548, 7222, 8085, 195, 1935, 2469, 3933, 4423, 6070, 7232, 8102, 654, 1789, 2473, 3928, 4267, 6110, 6953, 8126, 518, 1923, 2725, 3689, 4855, 5639, 6889, 8261, 228, 1386, 2554, 3648, 5159, 5436, 7100, 7477, 105, 1386, 2554, 4174, 5138, 5296, 6749, 7664, 831, 1241, 2791, 3487, 5120, 6096, 6889, 7293, 556, 2088, 3089, 3319, 5088, 6135, 6832, 7565, 498, 1865, 2667, 3259, 4376, 5269, 6848, 7496, 1009, 1582, 2422, 4030, 4597, 5248, 7030, 7866, 344, 1686, 2966, 3960, 4590, 5237, 6814, 8254, 864, 1478, 3023, 3960, 4181, 6077, 6793, 7574, 547, 1621, 2966, 3254, 4927, 5796, 6734, 7630, 1011, 1478, 3023, 3592, 4867, 5288, 6430, 8009, 427, 1856, 3056, 4093, 5138, 5850, 6408, 7720, 512, 1660, 3133, 3681, 4588, 5960, 6408, 7876, 961, 1179, 2985, 3886, 5005, 5250, 7111, 8206, 110, 1305, 2984, 3830, 4762, 5280, 7028, 7838, 938, 2100, 2749, 3500, 4808, 5594, 6408, 7862, 1063, 1686, 2286, 4010, 4239, 5813, 6717, 7527, 498, 1469, 2633, 3972, 4535, 5598, 7078, 7615, 249, 1950, 2175, 3486, 4380, 6106, 6807, 7968, 784, 1279, 2286, 3780, 4274, 5583, 6986, 7997, 1067, 2066, 2911, 3486, 4664, 5990, 7225, 7355, 249, 1469, 2705, 3788, 4664, 5764, 6985, 7521, 314, 1205, 2581, 3235, 4242, 5320, 7123, 7375, 975, 1469, 2708, 3785, 4431, 5594, 6711, 7987, 784, 1205, 2796, 3520, 4907, 6034, 6373, 7823, 271, 2066, 2316, 4136, 5027, 5498, 6772, 7505, 266, 1637, 2322, 3960, 4678, 6056, 6466, 8173, 504, 1503, 3031, 3604, 5151, 6040, 6881, 8048, 1024, 1717, 3121, 3785, 4543, 6092, 6272, 7497, 643, 1468, 3085, 3343, 4597, 5815, 6726, 7250, 271, 1120, 2490, 3240, 4256, 5719, 7148, 8159, 970, 1419, 2791, 3279, 4406, 6056, 6864, 7707, 970, 1356, 2965, 4047, 5143, 5393, 7156, 7317, 970, 1446, 2985, 3391, 4545, 6011, 6935, 7878, 1011, 1120, 2493, 4147, 4816, 5928, 6830, 7732, 1011, 2047, 2407, 3258, 4512, 6176, 6351, 7291, 1024, 2035, 2858, 3783, 4444, 5515, 6961, 7264, 913, 1776, 2481, 3614, 4379, 5515, 7007, 7879, 970, 1234, 2541, 3305, 4387, 5903, 6589, 7810, 1047, 1982, 2743, 4128, 4512, 6085, 6684, 7939, 955, 1886, 3060, 3890, 5127, 5202, 7114, 7810, 1047, 1562, 2639, 3990, 4470, 5802, 6809, 7583, 684, 1407, 3144, 3955, 5129, 5840, 6755, 8237, 308, 2001, 2598, 3277, 4966, 6210, 7152, 8083, 788, 1777, 2792, 3424, 4727, 5677, 6830, 8157, 692, 1828, 3037, 4003, 4945, 5536, 6848, 7752, 728, 1496, 2705, 3245, 4659, 5847, 6692, 7869, 900, 1496, 3031, 3882, 5053, 5935, 6396, 7977, 693, 1888, 2313, 3780, 5135, 6101, 6581, 7270, 693, 1302, 2572, 3193, 4325, 6095, 6930, 7611, 840, 1557, 2361, 3191, 4664, 5254, 6651, 7860, 271, 2118, 2709, 4138, 4730, 6101, 6795, 8213, 304, 1888, 2902, 3908, 5084, 6132, 6349, 7899, 225, 2107, 2659, 3908, 5088, 5988, 6605, 8139, 654, 2002, 2953, 4103, 4849, 5372, 7001, 7510, 225, 1898, 3091, 3831, 4711, 5474, 6486, 8261, 228, 2061, 2601, 3564, 4486, 5968, 6267, 7605, 228, 1468, 3018, 3225, 4859, 5514, 7201, 8130, 228, 1529, 2970, 3555, 5165, 5438, 6889, 7631, 789, 1468, 2730, 3645, 4205, 6110, 7111, 7485, 935, 1468, 2542, 4071, 4398, 6076, 7103, 8195, 419, 2017, 2858, 3879, 5138, 5514, 6604, 7715, 256, 1974, 2473, 4113, 5061, 5296, 6848, 7557, 334, 1347, 2754, 3666, 4737, 5721, 7019, 7894, 757, 1684, 2239, 3623, 4192, 5581, 6844, 7488, 552, 1684, 2946, 3470, 5138, 5609, 6830, 7256, 831, 1759, 2128, 3543, 4181, 5942, 7207, 8260, 685, 1463, 2959, 3498, 5012, 5610, 6234, 8241, 223, 1678, 2788, 3648, 4670, 5431, 6259, 8260, 955, 1688, 3038, 3369, 4374, 5498, 7218, 7891, 512, 1675, 2806, 3987, 4533, 5705, 7217, 7887, 390, 1924, 2996, 4170, 4781, 5968, 6408, 7949, 390, 1924, 3043, 4071, 5166, 5210, 7111, 7723, 390, 1499, 2924, 4011, 4870, 5840, 6871, 7706, 390, 1700, 2838, 4068, 5183, 5610, 6515, 8066, 840, 1721, 2788, 3889, 5115, 6058, 6898, 8259, 150, 1732, 2257, 3741, 4611, 5589, 7100, 8101, 545, 1858, 2901, 3224, 4934, 5953, 6898, 8073, 986, 1717, 3091, 3498, 4334, 6118, 6716, 7669, 504, 1550, 2152, 3892, 4494, 5441, 7223, 7666, 613, 1834, 2740, 4049, 4816, 6002, 7047, 8132, 103, 1982, 2946, 3337, 4335, 5279, 6762, 7538, 650, 1280, 2936, 3929, 4549, 5714, 6764, 7873, 103, 2001, 2801, 4043, 4633, 5317, 6772, 7742, 757, 1809, 2327, 4151, 4353, 5432, 7065, 8164, 568, 1570, 2454, 3983, 4881, 5549, 6717, 8202, 699, 1597, 2242, 3692, 5125, 5962, 6863, 8134, 195, 1971, 2562, 3605, 4681, 6149, 6515, 7263, 195, 1971, 2595, 3225, 4512, 6034, 6430, 8030, 195, 1971, 2659, 3443, 4706, 5719, 6740, 7939, 225, 1719, 2734, 3595, 4622, 5246, 7203, 7524, 654, 1750, 2904, 3374, 5075, 5296, 6809, 7706, 240, 1750, 2468, 3595, 4727, 5241, 7207, 7563, 789, 1853, 3062, 3595, 4555, 5963, 6579, 8130, 419, 1756, 2473, 3803, 5159, 5241, 6996, 7303, 915, 1756, 2560, 4071, 4555, 5534, 6579, 7716, 818, 1622, 3133, 3825, 4555, 6139, 6579, 8147, 419, 1304, 2806, 3391, 4859, 5892, 6604, 7715, 195, 1529, 3144, 3753, 4788, 5952, 6611, 8070, 421, 1935, 2506, 3931, 4918, 5935, 7181, 8185, 149, 1732, 2381, 4010, 5120, 5723, 6612, 7369, 318, 1763, 2238, 3706, 4882, 5844, 7106, 7383, 752, 1252, 2837, 4035, 4775, 6006, 6335, 7371, 1033, 1207, 2436, 3245, 4859, 5938, 7004, 7485, 887, 1227, 2505, 3582, 4887, 5705, 6566, 8051, 401, 1721, 3150, 4011, 4859, 5536, 6967, 7677, 401, 1943, 2340, 4151, 4859, 5536, 6734, 7607, 512, 2046, 2520, 3710, 4276, 5694, 6709, 7421, 308, 1750, 2806, 4068, 5115, 6103, 6972, 8076, 956, 1705, 3110, 3886, 4551, 6129, 6786, 8147, 1097, 1998, 2838, 3825, 4704, 5705, 6794, 8076, 475, 1998, 2833, 4174, 5058, 5493, 6719, 8083, 552, 1675, 2340, 4018, 4792, 6129, 7006, 7949, 401, 2002, 2559, 3692, 4918, 6120, 6988, 8140, 160, 1630, 3032, 4155, 4762, 5678, 6913, 7602, 271, 1951, 2271, 3770, 4942, 5975, 7184, 7936, 807, 2033, 2137, 3970, 5142, 6142, 6443, 7664, 299, 1561, 3029, 3475, 4934, 6135, 7087, 8070, 150, 2033, 2717, 3792, 4859, 5976, 7023, 7378, 887, 1717, 2717, 4128, 4784, 5765, 7095, 7985, 684, 1978, 3043, 3710, 4458, 5968, 6615, 8076, 304, 2079, 3135, 4011, 4859, 6103, 7010, 7908, 804, 1791, 3043, 3990, 4859, 5901, 7132, 8083, 1097, 1675, 3135, 3710, 4859, 5635, 6709, 8237, 105, 1998, 2838, 4026, 5083, 5344, 6338, 7965, 256, 1460, 2754, 4135, 4329, 5276, 6486, 7641, 183, 1706, 2636, 3375, 4386, 5684, 6876, 8132, 568, 1439, 2941, 4154, 5150, 5432, 6291, 7887, 756, 1439, 2858, 3994, 4592, 5824, 6840, 7865, 752, 2013, 2783, 3536, 4446, 5658, 7095, 7537, 650, 2053, 2288, 4137, 4920, 5824, 7094, 8095, 986, 1978, 3101, 3770, 5134, 5745, 7232, 7419, 839, 1289, 3018, 3801, 4995, 5492, 6603, 7987, 995, 1706, 2945, 3192, 4949, 5369, 6466, 8215, 1036, 1112, 2490, 3603, 4682, 5574, 7085, 7250, 234, 1118, 2378, 3933, 4224, 5594, 6847, 7260, 397, 1681, 2780, 3904, 4606, 5529, 7118, 7551, 123, 1286, 2422, 3965, 4365, 5719, 6529, 7510, 1038, 2114, 2871, 3515, 4742, 6111, 6442, 7748, 482, 1695, 3047, 3332, 4365, 6117, 7012, 7978, 1051, 1349, 2458, 3332, 4618, 6041, 6265, 8209, 288, 1220, 2980, 3720, 4828, 5794, 6974, 7481, 488, 2041, 2970, 3645, 5058, 6205, 7239, 7658, 818, 1620, 2960, 3188, 4888, 6195, 7132, 8209, 935, 1175, 3064, 3516, 4583, 5968, 6709, 8267, 356, 1684, 2356, 3994, 4870, 5824, 6830, 7962, 105, 1684, 2137, 4085, 5160, 5767, 7220, 7880, 555, 1468, 2970, 3595, 4287, 5413, 6584, 7806, 818, 1648, 2554, 3827, 4387, 6139, 7207, 8132, 201, 1528, 2806, 3825, 4704, 6139, 7124, 7766, 201, 1528, 2164, 3825, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 6794, 7766, 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, 7124, 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, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 31, 39, 5, 76, 69, 30, 5, 54, 11, 66, 5, 13, 51, 64, 33, 62, 66, 5, 45, 66, 5, 14, 78, 5, 16, 5, 30, 44, 41, 48, 66, 5, 5, 3, 142, 2111, 2914, 3825, 4704, 6211, 7120, 8196, 488, 1648, 2914, 3891, 4624, 6139, 7124, 8196, 142, 1528, 2914, 3825, 4624, 5241, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6081, 7124, 8223, 915, 1851, 3065, 4071, 4583, 5241, 7077, 7485, 512, 1202, 2957, 3516, 4716, 5678, 7010, 8261, 160, 1206, 2254, 3885, 4716, 5840, 7129, 7533, 448, 1794, 2953, 3487, 5088, 5935, 6876, 7826, 788, 2047, 3033, 3909, 4228, 5624, 6961, 7934, 1023, 1206, 2271, 3248, 4801, 6187, 6716, 8203, 668, 1782, 2543, 3443, 4402, 5893, 6883, 8049, 1024, 1755, 2946, 3963, 4536, 5752, 6898, 8061, 537, 1770, 2868, 3975, 4344, 5413, 7181, 7920, 779, 1562, 2860, 3929, 4343, 5684, 6953, 7560, 684, 1783, 3128, 4068, 4828, 5883, 6525, 8237, 955, 2068, 2803, 3961, 4447, 5590, 7006, 7557, 401, 1750, 2991, 3681, 4980, 6051, 6988, 8260, 1102, 1812, 3128, 3856, 4287, 5968, 7085, 7563, 1029, 1534, 2137, 3159, 4623, 6203, 7079, 7500, 1067, 1199, 2481, 3552, 4381, 5773, 6298, 7769, 692, 1234, 2678, 3230, 4358, 5204, 6949, 8250, 504, 1283, 2429, 3243, 4609, 5854, 6829, 7889, 914, 1797, 2924, 3990, 5080, 5923, 7052, 7865, 684, 1280, 3128, 3602, 5159, 6211, 7132, 8179, 684, 1280, 2806, 4071, 5061, 5573, 7162, 7631, 216, 1992, 2678, 4026, 4980, 5929, 7084, 8266, 684, 1141, 2924, 4168, 4918, 5294, 7132, 7816, 955, 1562, 3128, 3892, 4792, 5635, 7098, 8260, 401, 2068, 3053, 4174, 5159, 5630, 6996, 7602, 304, 1982, 3053, 4114, 4822, 5204, 6515, 7732, 767, 1688, 2613, 3231, 5088, 5953, 6677, 7807, 862, 1346, 2274, 3740, 4865, 5738, 6577, 8126, 1080, 2011, 2831, 4133, 4729, 5350, 7241, 8262, 668, 2059, 2844, 3905, 4852, 5859, 6403, 7501, 1088, 1912, 2869, 3510, 4388, 5286, 7174, 7855, 1064, 1907, 2490, 3390, 4904, 5603, 7227, 7673, 320, 1668, 3088, 3337, 4347, 6162, 6354, 7741, 731, 1179, 2611, 3390, 4773, 5942, 6774, 7898, 684, 1981, 2638, 3917, 4912, 5811, 6938, 7876, 613, 1496, 2709, 3873, 5120, 5231, 6333, 8092, 653, 1496, 2550, 3568, 4379, 5870, 6811, 7799, 1006, 1118, 2172, 3492, 4495, 5476, 7099, 8028, 986, 1886, 2309, 4142, 5135, 5558, 7091, 8158, 304, 1550, 2710, 3233, 4716, 6194, 6921, 8033, 1097, 1302, 3053, 4055, 4734, 5981, 7184, 7576, 512, 2000, 2838, 4174, 5166, 5210, 7006, 8195, 512, 1620, 3095, 4085, 5166, 5573, 7047, 7723, 1097, 1620, 3095, 3982, 5080, 6195, 7006, 7485, 186, 1869, 2960, 3188, 4888, 6014, 6752, 8066, 165, 1742, 3124, 4096, 5083, 5224, 6505, 7463, 699, 1264, 2190, 3746, 4576, 5908, 6764, 7764, 654, 2060, 2839, 3394, 5103, 6065, 7098, 8209, 127, 1185, 2880, 4021, 5128, 5689, 6918, 7723, 654, 1851, 2659, 4138, 4776, 5386, 7100, 8102, 654, 2030, 3133, 3866, 4776, 5548, 6265, 7865, 654, 1286, 3144, 3394, 4716, 6120, 6677, 8118, 195, 2052, 2554, 3394, 4918, 5574, 6380, 7574, 195, 1608, 2880, 3574, 4287, 5514, 7162, 8126, 195, 1750, 3095, 3376, 4344, 6085, 6823, 8147, 518, 2032, 2554, 3795, 4697, 5534, 7157, 7720, 878, 2032, 2356, 3951, 5022, 5221, 6752, 8036, 1102, 1190, 3049, 4153, 4829, 6149, 6898, 8025, 805, 1995, 2882, 4122, 5193, 5501, 6624, 8203, 584, 1140, 2561, 3752, 4381, 6096, 6911, 7536, 546, 1496, 3085, 3394, 4328, 5856, 6957, 7623, 959, 1677, 2895, 3718, 5098, 6041, 7118, 8068, 142, 1508, 2833, 3550, 5104, 5948, 6889, 7940, 935, 2111, 2439, 3908, 5083, 5892, 7201, 7806, 935, 2111, 2391, 3226, 4980, 6051, 7201, 8223, 935, 1705, 2880, 3990, 5061, 6205, 6588, 8066, 186, 2017, 2834, 3803, 4583, 6070, 6786, 7895, 186, 1528, 2164, 4152, 4624, 5901, 7090, 8076, 186, 1648, 2914, 3825, 4624, 6139, 7124, 8195, 818, 1528, 2838, 4071, 4888, 6211, 6709, 7723, 186, 1528, 2914, 3226, 4888, 6195, 7077, 8237, 859, 1752, 2833, 4145, 4681, 5219, 6486, 7664, 874, 2030, 2970, 4089, 4696, 5984, 6810, 7850, 231, 1755, 2971, 3533, 4941, 5503, 6612, 8243, 722, 1369, 2927, 4128, 4926, 6177, 6560, 7479, 632, 1164, 2665, 4022, 4694, 5734, 7087, 7743, 247, 1472, 2190, 3417, 4225, 5656, 7086, 7754, 374, 1708, 3074, 3744, 5070, 6217, 7173, 7804, 996, 1942, 2258, 3225, 5069, 5551, 6714, 7826, 952, 1349, 2348, 3304, 4644, 5656, 6474, 8214, 804, 1752, 2728, 4125, 4856, 5950, 7218, 7605, 940, 1141, 3008, 3363, 4310, 5386, 7237, 7677, 427, 1887, 2291, 3994, 4807, 6110, 7098, 7607, 874, 1695, 2818, 4093, 4321, 5553, 6730, 7598, 225, 2097, 2332, 4080, 4459, 6007, 6749, 7804, 105, 1684, 3064, 3394, 4267, 6149, 6642, 8128, 488, 1684, 2970, 3914, 4912, 6205, 7120, 7485, 818, 1620, 2806, 3886, 5061, 6137, 6979, 8147, 818, 2017, 2925, 3188, 4624, 5635, 7132, 7717, 818, 2017, 3117, 3367, 4798, 5635, 6794, 7717, 818, 1648, 2914, 3893, 4624, 6139, 6752, 8196, 555, 1147, 2970, 3893, 4870, 5981, 6584, 8196, 859, 2127, 2970, 4068, 4624, 5811, 6996, 7677, 859, 2127, 2970, 3955, 4512, 5241, 6996, 7732, 105, 2106, 3064, 3374, 4555, 5223, 7069, 7717, 105, 2106, 2941, 4068, 4870, 5223, 6752, 7716, 105, 2106, 3064, 3374, 4399, 5296, 7160, 7476, 105, 1750, 3021, 3374, 4583, 5296, 7090, 7715, 859, 1938, 2345, 3980, 5160, 5672, 6612, 8093, 419, 1345, 2833, 3515, 4555, 5901, 7120, 7677, 555, 1623, 2833, 3217, 4555, 6086, 7187, 7927, 555, 1248, 2833, 3391, 4859, 5241, 7120, 7831, 555, 2017, 3021, 3374, 4890, 5678, 7077, 7723, 555, 1684, 2729, 3893, 4387, 5241, 7160, 8083, 860, 1528, 3065, 3825, 4387, 5963, 6584, 7766, 142, 2017, 2806, 3825, 4704, 5892, 6794, 7766, 142, 1528, 2806, 3893, 4704, 6186, 7124, 8223, 915, 1304, 2806, 4145, 4870, 5635, 7077, 7715, 756, 1108, 2309, 3832, 5154, 6063, 6719, 7537, 640, 1349, 2346, 4112, 5051, 5624, 6424, 8085, 830, 2092, 3090, 3775, 4539, 5584, 6692, 7790, 660, 1349, 2759, 4087, 4316, 5578, 6242, 7516, 319, 1653, 2261, 3535, 5151, 5567, 6535, 7962, 868, 1653, 2974, 3224, 4927, 5693, 6963, 7734, 1033, 1510, 2480, 3356, 5187, 5845, 6881, 7637, 576, 1821, 2606, 3356, 4381, 5830, 6776, 7384, 654, 1826, 2904, 3276, 5054, 6212, 6547, 7557, 195, 1182, 3004, 4161, 5135, 5266, 6701, 8117, 518, 1925, 2904, 3900, 4611, 6164, 7127, 8248, 195, 2041, 2924, 3749, 4344, 6097, 6277, 7597, 516, 2118, 2531, 3798, 4437, 5880, 7181, 7592, 319, 2118, 2990, 3394, 4435, 5849, 6626, 7336, 404, 1521, 2951, 3266, 4321, 5965, 6769, 7477, 536, 1388, 2312, 4130, 4925, 6178, 6485, 7728, 952, 1139, 2132, 4037, 4734, 5614, 7065, 7796, 308, 1455, 3097, 3726, 4238, 5840, 6734, 7397, 804, 1218, 2783, 3188, 4890, 5974, 6900, 8016, 390, 1881, 3135, 4114, 4822, 5761, 6612, 8083, 955, 2079, 2960, 3226, 4888, 6051, 7132, 8237, 308, 1791, 2924, 3188, 5166, 5241, 6996, 7723, 221, 1586, 2814, 3448, 4949, 5230, 6907, 7996, 807, 2033, 2953, 3996, 4709, 5616, 6339, 7615, 314, 1397, 2527, 3479, 5096, 6116, 6592, 7683, 249, 1541, 2725, 3261, 4246, 5447, 6680, 7980, 620, 1171, 3116, 3307, 4887, 5704, 6903, 7492, 789, 1525, 2432, 3874, 4402, 6136, 6615, 7402, 789, 2030, 2542, 4011, 4801, 5385, 7069, 7776, 256, 1791, 2473, 3922, 5083, 5527, 6901, 7846, 901, 1924, 2775, 3317, 5120, 6070, 7241, 8227, 256, 1175, 2473, 3359, 4512, 5694, 6810, 8254, 256, 1452, 2315, 3413, 4849, 5385, 6430, 8016, 878, 2111, 3064, 3962, 4398, 5360, 7111, 7715, 901, 1633, 2959, 3407, 4344, 5757, 6671, 7254, 568, 2030, 2490, 4145, 5080, 5308, 6231, 7693, 103, 1382, 2761, 3516, 5073, 6117, 6540, 7383, 685, 1944, 2585, 3970, 4228, 5715, 6803, 8235, 582, 1692, 2282, 3818, 5151, 5490, 7241, 7954, 1040, 1692, 2506, 3394, 4845, 5589, 6601, 7740, 986, 1931, 2601, 3623, 5074, 6002, 6856, 7536, 1025, 2059, 2601, 3479, 4775, 5751, 6687, 8060, 231, 1140, 2251, 3472, 5150, 5828, 7017, 7839, 231, 2114, 2556, 4035, 5151, 6002, 6464, 8211, 831, 1540, 2710, 3770, 4364, 5378, 6809, 7605, 709, 1889, 3098, 4170, 4622, 6051, 6810, 7563, 956, 1467, 2932, 4145, 4589, 5340, 7084, 8179, 1097, 2046, 3128, 4006, 4622, 5340, 7047, 8267, 256, 2000, 3139, 3407, 4512, 6149, 6752, 8080, 183, 1147, 2473, 4068, 5080, 5548, 7091, 7677, 617, 1623, 2656, 3815, 5103, 5890, 6944, 7706, 859, 2127, 2833, 4071, 5142, 5493, 6988, 7732, 859, 1147, 3064, 3914, 4387, 6146, 6584, 8132, 488, 1147, 2914, 3825, 4704, 6139, 6584, 8196, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 488, 2017, 2806, 3893, 4624, 6139, 6589, 8223, 488, 2017, 2806, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3893, 4624, 6139, 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, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 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, 52, 11, 54, 50, 16, 66, 74, 30, 5, 53, 39, 30, 5, 67, 36, 30, 47, 5, 41, 26, 75, 5, 30, 44, 42, 63, 48, 78, 5, 54, 26, 54, 66, 48, 54, 5, 53, 45, 54, 16, 66, 64, 5, 76, 33, 64, 66, 3, 104, 1828, 2869, 3983, 5114, 5727, 6614, 7795, 271, 1828, 3019, 3618, 5184, 5611, 7203, 7821, 271, 1531, 3019, 3398, 4506, 5731, 7240, 7643, 271, 1988, 2173, 3394, 4807, 5523, 7240, 8069, 875, 2061, 2778, 3536, 5032, 5640, 6282, 7567, 1017, 1302, 2137, 3356, 4369, 6116, 6866, 7622, 270, 2050, 2890, 4128, 4543, 5888, 6748, 7901, 261, 1838, 2137, 3979, 4196, 5291, 6395, 7395, 333, 1779, 2132, 3780, 5152, 5208, 6833, 8140, 1023, 1213, 2415, 4100, 4449, 5205, 6818, 7889, 840, 1838, 3040, 3539, 4314, 5205, 6635, 8110, 784, 1674, 2173, 3419, 4301, 6145, 7092, 8153, 1004, 2050, 2865, 4073, 4661, 6145, 6260, 7818, 840, 2050, 2365, 4037, 4448, 5395, 7135, 7341, 1023, 1797, 2815, 4154, 4456, 6030, 7106, 8116, 150, 2008, 3026, 3919, 4298, 6148, 6244, 7873, 767, 1991, 2929, 3593, 4354, 5976, 6292, 7817, 731, 2081, 2515, 4082, 4874, 5590, 6404, 7262, 386, 2008, 2655, 4082, 4765, 5334, 6331, 7627, 752, 1948, 2298, 4163, 4588, 5288, 7229, 8088, 940, 1773, 2365, 3305, 4385, 5890, 7163, 8173, 183, 1296, 2974, 3994, 4896, 6149, 7033, 8151, 183, 1649, 2867, 3751, 5017, 5677, 6550, 8262, 568, 1708, 2783, 3550, 4211, 6131, 6650, 7660, 397, 1206, 2664, 3562, 5179, 5599, 6603, 8254, 582, 1510, 2366, 3341, 4617, 6073, 6655, 7317, 884, 1732, 3097, 4021, 5051, 5643, 6224, 7856, 884, 1494, 3097, 3605, 4539, 5843, 6927, 7549, 725, 1938, 3106, 3765, 4288, 5640, 6571, 7442, 390, 1335, 2848, 3966, 4918, 5863, 7082, 7405, 488, 1931, 3064, 4082, 4387, 5631, 7004, 7831, 818, 1623, 2803, 3914, 4870, 6205, 7084, 7831, 1097, 1620, 2746, 4145, 4583, 5241, 6752, 7831, 555, 1620, 2730, 3825, 4387, 5832, 6966, 8080, 334, 1108, 2856, 3746, 4913, 5631, 6917, 8236, 195, 1108, 2585, 4093, 4923, 5844, 6584, 7641, 183, 1684, 2156, 3596, 4398, 5413, 7181, 7793, 757, 1858, 2468, 3751, 4918, 5296, 6251, 7477, 959, 1797, 2833, 3967, 5160, 5796, 7058, 7664, 1071, 1373, 2238, 3789, 4918, 6123, 7043, 8227, 936, 1758, 2534, 3193, 4258, 6119, 6333, 7775, 386, 2033, 2309, 3300, 5116, 6170, 6876, 7978, 504, 1407, 2309, 3917, 4836, 6159, 6901, 7941, 784, 1141, 2847, 3785, 5018, 5404, 7177, 7865, 150, 1858, 2707, 3537, 5052, 5815, 7030, 7324, 643, 1682, 2892, 3307, 4454, 5930, 6688, 8037, 970, 1688, 2565, 3352, 4548, 6038, 6796, 7539, 1047, 1847, 2565, 3496, 4787, 5613, 7037, 8034, 970, 1833, 2565, 3945, 4987, 5993, 6612, 7547, 1047, 1120, 2923, 4171, 4903, 5851, 7025, 7676, 1011, 1509, 2515, 4085, 4780, 5825, 6612, 7901, 1102, 1463, 2794, 3430, 5083, 5491, 7220, 7852, 942, 1141, 2940, 3955, 5165, 6204, 6350, 7753, 684, 1797, 2293, 3680, 4782, 5385, 7152, 7631, 211, 1363, 2678, 3766, 4867, 5250, 6302, 7716, 643, 1269, 2292, 3537, 4936, 5705, 6708, 8195, 731, 1271, 2750, 3710, 5159, 6211, 7007, 7677, 223, 1167, 2724, 3932, 4686, 6204, 7111, 7971, 504, 1255, 2298, 3697, 4179, 5824, 7163, 7555, 1025, 1773, 2492, 3167, 4998, 6007, 6619, 7494, 643, 1388, 2661, 3955, 5088, 5425, 7104, 8197, 887, 1499, 2946, 4102, 5169, 5620, 7019, 7764, 266, 2059, 2835, 3475, 4929, 5276, 7064, 7262, 884, 1283, 2132, 3329, 4897, 5631, 7133, 7881, 807, 1349, 2448, 3656, 5032, 6122, 6569, 7683, 1101, 1282, 2332, 3573, 4220, 6118, 6494, 7727, 884, 1842, 2137, 3570, 4604, 6116, 6244, 8243, 845, 1808, 2717, 3426, 4825, 5875, 6563, 7427, 986, 1808, 2327, 4007, 5052, 6120, 6850, 7959, 986, 2053, 2196, 4007, 4308, 6067, 7102, 7693, 986, 1700, 2751, 4079, 5135, 5988, 7174, 7622, 887, 1550, 2751, 3948, 4955, 5874, 7119, 7313, 887, 1550, 2414, 3917, 4996, 6125, 7160, 7563, 1056, 1998, 2717, 3671, 4690, 6120, 6776, 8012, 308, 1608, 3021, 3540, 4681, 5661, 6719, 8076, 308, 1455, 3021, 3866, 5139, 5844, 7084, 7949, 684, 1620, 3064, 3990, 4681, 6146, 7162, 8179, 1097, 1750, 2991, 4108, 4980, 6211, 6515, 7766, 914, 1648, 2947, 4174, 4366, 6123, 6604, 8185, 240, 1108, 2473, 3169, 4923, 5749, 7111, 7846, 440, 1332, 2886, 4113, 4954, 6175, 6265, 8236, 789, 2060, 2839, 3364, 4701, 6205, 6832, 7716, 878, 2030, 2210, 3815, 4435, 5296, 6589, 7727, 450, 1623, 2833, 4113, 4801, 5893, 7022, 7660, 484, 1623, 2947, 3990, 5038, 5296, 6632, 7476, 160, 1668, 2436, 4143, 4895, 5745, 6967, 7386, 249, 2059, 2314, 3521, 4282, 5823, 6865, 8006, 249, 1239, 2564, 3878, 5001, 5557, 6827, 7478, 993, 1735, 2905, 3821, 5111, 5757, 6957, 8017, 936, 1736, 2801, 3262, 4720, 5352, 6872, 7276, 536, 1736, 2973, 4060, 5055, 5352, 6563, 7726, 536, 1421, 3137, 3980, 4590, 5956, 6762, 7415, 645, 1349, 2559, 4096, 4315, 5831, 7170, 7677, 401, 1635, 2503, 3918, 5088, 5436, 6734, 7717, 363, 1550, 2536, 3298, 4875, 5260, 6438, 7821, 299, 1695, 2448, 3395, 4626, 6116, 7072, 7954, 1101, 1692, 2565, 4132, 5097, 5921, 6224, 8165, 643, 1561, 2554, 3792, 4717, 6107, 7209, 8227, 1081, 1265, 2946, 4096, 4496, 6113, 6612, 7831, 440, 1771, 2340, 3350, 4181, 6205, 6696, 8178, 789, 1963, 2678, 3827, 4412, 6050, 7095, 7477, 256, 1597, 2432, 3799, 4855, 6137, 7085, 8080, 256, 2030, 2542, 3803, 5142, 5413, 7010, 8179, 878, 1623, 2473, 3566, 5169, 6129, 6809, 7824, 153, 2073, 3043, 3595, 5001, 5678, 7087, 7775, 373, 1723, 3022, 3692, 4387, 6055, 6835, 7473, 763, 1548, 3047, 3268, 5085, 5624, 6549, 7762, 465, 1689, 2296, 3624, 5149, 6156, 6299, 7993, 465, 1195, 2455, 3958, 4688, 5569, 6476, 7654, 465, 1503, 2227, 3936, 5092, 5740, 6264, 7533, 465, 1946, 2869, 3624, 4566, 5874, 6264, 7419, 465, 1171, 2221, 3650, 4723, 5792, 6683, 8079, 465, 2118, 3047, 3770, 4283, 5511, 6313, 8079, 465, 1510, 3047, 3552, 4283, 6188, 6517, 7521, 465, 1349, 2397, 3778, 5054, 5632, 6926, 7699, 150, 1510, 2800, 3348, 4323, 5350, 6966, 7956, 150, 1758, 2701, 3936, 4545, 5353, 6595, 7722, 684, 1444, 2440, 3656, 4617, 6160, 6891, 7536, 304, 1534, 2369, 3866, 4374, 5832, 7058, 7876, 390, 2063, 2781, 4113, 5096, 6205, 7120, 7366, 512, 2046, 3007, 3803, 5020, 5883, 6901, 7658, 308, 1791, 2792, 3226, 5038, 5901, 6589, 7895, 1056, 1540, 3110, 3645, 4980, 5385, 6967, 8179, 491, 1560, 2886, 3497, 4982, 5599, 6880, 7965, 881, 2055, 3075, 3911, 4392, 6076, 6443, 7967, 993, 1806, 2429, 3521, 5001, 5836, 6814, 8012, 610, 1655, 2401, 3602, 4654, 5223, 7025, 7680, 512, 1770, 2340, 3975, 5165, 5968, 6333, 7602, 308, 1915, 2975, 3886, 4980, 6129, 6515, 7806, 510, 2046, 2947, 4018, 5165, 5534, 7077, 8237, 804, 1218, 3008, 3982, 5166, 6195, 7132, 7723, 1056, 2125, 2991, 3945, 4782, 5635, 7084, 8237, 100, 1523, 2750, 3512, 4215, 5255, 6920, 8170, 150, 1141, 2456, 4097, 4375, 5596, 6254, 7859, 150, 1141, 2708, 3950, 4993, 5703, 6876, 7355, 150, 1141, 2924, 3642, 5125, 5740, 6898, 7968, 150, 1141, 3026, 3802, 4878, 5716, 6840, 7535, 150, 1510, 2432, 3695, 4683, 5246, 7246, 7367, 150, 1782, 2629, 3911, 4996, 5840, 6898, 7968, 150, 1397, 2598, 3789, 4918, 6178, 6733, 8047, 150, 1550, 2701, 3274, 4364, 6154, 7224, 7878, 610, 1550, 2419, 3570, 4604, 6123, 6853, 7919, 610, 1550, 2492, 4070, 4966, 5318, 7229, 8012, 1025, 1550, 2419, 3430, 4902, 5224, 6601, 7726, 1025, 1388, 2426, 3167, 4620, 6007, 6965, 7717, 643, 1550, 3053, 3776, 4996, 5512, 6281, 8077, 103, 1692, 2565, 3273, 4379, 5485, 6734, 7559, 1025, 1550, 3035, 3811, 5113, 5678, 7170, 7965, 678, 1550, 3144, 3570, 4954, 6205, 7220, 7336, 103, 1948, 2565, 4079, 4720, 6211, 7149, 8236, 150, 1550, 2940, 3363, 4711, 5980, 6291, 7298, 643, 1561, 2175, 3363, 4427, 5584, 6383, 7952, 987, 1948, 2210, 3838, 5142, 5561, 6923, 7421, 317, 1707, 3053, 3443, 4734, 5810, 6591, 7962, 228, 1675, 3033, 3443, 4882, 6119, 6265, 8055, 654, 1869, 2729, 3391, 4882, 5821, 6443, 7906, 518, 1756, 2791, 3767, 5083, 5386, 7024, 7535, 240, 1684, 2904, 3770, 4192, 6110, 7207, 7538, 789, 1623, 2316, 3844, 4549, 6110, 6752, 8188, 818, 1684, 2554, 4171, 5135, 5678, 6740, 8080, 860, 1528, 2669, 3914, 4704, 5241, 6584, 8147, 488, 1622, 3117, 3367, 5138, 5241, 6794, 8223, 915, 2017, 2164, 3893, 4798, 5241, 6752, 8196, 555, 1147, 3064, 3893, 4888, 6182, 6794, 8237, 859, 1684, 2880, 4068, 4387, 5981, 6604, 7563, 859, 1332, 2970, 4071, 4583, 5901, 6717, 7563, 859, 1332, 2941, 3595, 4387, 5515, 7100, 7563, 555, 1684, 2941, 4006, 5159, 5963, 6688, 7865, 859, 1684, 2970, 3550, 5159, 5515, 6671, 8266, 555, 1684, 2970, 3550, 4583, 5515, 6604, 8237, 859, 1332, 3021, 4068, 4512, 5892, 7129, 8261, 555, 1684, 2138, 4083, 4985, 5241, 6688, 7732, 555, 1684, 2138, 3891, 5159, 5981, 6996, 8126, 915, 1684, 3021, 3803, 4890, 5241, 6988, 7732, 818, 1648, 2970, 3827, 5166, 5241, 7124, 8126, 488, 2017, 2970, 4071, 4624, 5892, 7077, 7485, 142, 1528, 2806, 3825, 4624, 6139, 7077, 8147, 142, 1528, 2806, 3893, 4798, 6186, 6794, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3367, 4624, 5612, 7124, 7766, 488, 1406, 3117, 3893, 4822, 6186, 6786, 8196, 512, 1827, 3144, 4113, 4583, 6085, 7077, 8076, 223, 1200, 3080, 3305, 5110, 5892, 6972, 7992, 104, 1269, 2783, 3232, 4861, 5228, 6730, 7786, 937, 1676, 2762, 3475, 4212, 5523, 6698, 7983, 408, 1778, 2724, 3901, 4308, 5763, 7212, 7563, 850, 1821, 2330, 3793, 4431, 5765, 6818, 8245, 778, 1932, 2762, 3793, 4529, 6131, 7019, 7393, 850, 1330, 2940, 3361, 4387, 5382, 6649, 7673, 778, 1797, 2974, 3361, 5100, 6062, 7040, 7911, 104, 1681, 3075, 4078, 5129, 5906, 6463, 7262, 313, 2117, 2868, 3479, 4457, 5696, 6276, 7743, 810, 1826, 2348, 3840, 4401, 6145, 6832, 7561, 234, 1967, 2869, 3700, 4330, 5955, 7071, 8140, 1080, 2101, 2869, 3251, 4995, 6002, 6659, 8094, 992, 1879, 2953, 3187, 4472, 6032, 6526, 7538, 247, 1472, 2610, 3356, 4489, 5871, 6507, 7508, 487, 1397, 2271, 4061, 4461, 5313, 6669, 7743, 807, 1581, 2992, 3915, 5151, 5642, 6603, 7904, 104, 1706, 2610, 3543, 5109, 6119, 7043, 7260, 1025, 1350, 2601, 3964, 4800, 5952, 7119, 7660, 778, 1755, 2129, 3417, 4573, 5548, 6240, 7962, 887, 1227, 2552, 3975, 4586, 5534, 6674, 7906, 1090, 1860, 2436, 3679, 4780, 5204, 6584, 8213, 308, 1218, 3095, 3516, 4573, 6205, 7207, 7631, 1099, 1963, 2991, 3866, 4622, 5630, 7152, 8179, 915, 2041, 3135, 4011, 4622, 6129, 6752, 8185, 956, 1620, 3135, 4006, 4287, 6051, 6972, 8147, 914, 2041, 3128, 4174, 5165, 5705, 7120, 7941, 195, 2034, 2203, 3222, 4790, 5218, 7047, 7592, 225, 2034, 2355, 3234, 4192, 5734, 6877, 7641, 356, 1695, 2971, 3217, 5160, 5678, 6676, 7865, 356, 2125, 2718, 3945, 5079, 5641, 7000, 7831, 1033, 1633, 2803, 4103, 5042, 6002, 7140, 7906, 986, 1306, 2751, 3776, 5088, 6086, 7230, 8189, 986, 1306, 2751, 3356, 4651, 5480, 7043, 8058, 986, 1306, 2655, 3776, 4321, 5938, 6244, 7378, 887, 2053, 2346, 4079, 4954, 5500, 7010, 7954, 536, 1550, 2868, 4079, 4620, 6117, 7030, 7896, 104, 1942, 2163, 4168, 4358, 5436, 7191, 7542, 1025, 1269, 2373, 3417, 4635, 6083, 6736, 7586, 1025, 1269, 2924, 3524, 4883, 5557, 6251, 7473, 610, 1966, 2444, 3307, 4807, 6070, 7157, 8209, 211, 1360, 2946, 3932, 4872, 6222, 7114, 7494, 887, 1255, 2429, 3393, 4691, 6025, 7220, 8080, 1090, 2033, 3098, 3866, 4419, 5942, 7193, 7631, 1090, 1682, 3144, 3955, 4861, 6103, 7160, 7260, 1025, 1682, 2874, 3540, 4757, 5600, 7207, 8179, 1025, 1797, 2440, 4106, 4935, 5705, 7168, 7791, 1025, 1499, 2783, 4096, 5165, 6129, 7132, 8017, 993, 1601, 2868, 3728, 4368, 6175, 6391, 7799, 936, 1510, 2736, 4041, 4945, 5431, 6612, 7350, 884, 1494, 2312, 3309, 4855, 5835, 6224, 8045, 884, 1349, 2530, 3671, 4321, 5835, 6626, 8045, 1025, 1349, 2239, 3398, 4937, 6167, 6592, 7453, 1025, 1349, 2312, 4000, 5001, 6097, 6262, 7598, 271, 1794, 2951, 3755, 4969, 6206, 6751, 7929, 386, 1349, 2687, 3822, 4539, 5652, 6371, 7892, 504, 1349, 2687, 4043, 4364, 5765, 7002, 8215, 643, 1349, 3005, 4174, 5078, 5224, 6632, 7963, 887, 1496, 2271, 3560, 4896, 6026, 6619, 7728, 288, 1700, 3053, 3920, 4387, 6001, 6515, 8083, 512, 2046, 3064, 3277, 5061, 5204, 7023, 8266, 915, 2068, 2838, 4174, 5139, 5901, 6786, 7876, 240, 1998, 3133, 3914, 4387, 5661, 6850, 7959, 240, 1756, 3000, 4006, 4888, 5901, 6584, 7607, 228, 1525, 2730, 4174, 4555, 5438, 6909, 7485, 225, 1684, 2370, 4113, 5061, 5730, 6575, 7303, 757, 1426, 2271, 3359, 4859, 5381, 7090, 7726, 153, 1736, 2340, 4145, 4888, 5830, 6858, 7303, 186, 2073, 2886, 3827, 5080, 5276, 7019, 8237, 860, 2017, 2803, 3825, 4398, 5241, 7152, 8147, 804, 1869, 3064, 4170, 4583, 5705, 6996, 7485, 223, 1797, 3108, 3256, 5139, 6111, 7006, 7458, 150, 2035, 2924, 4146, 4630, 6129, 7010, 7591, 993, 1919, 2133, 3643, 4933, 5500, 7184, 7603, 936, 2050, 2311, 3556, 4535, 5526, 7094, 7997, 137, 1850, 2207, 3751, 4946, 5891, 6731, 8127, 137, 2059, 2436, 4037, 4219, 5640, 6793, 8243, 175, 1397, 2355, 3623, 4945, 6016, 6409, 7980, 491, 2094, 2987, 3843, 4901, 6077, 6848, 8009, 103, 1614, 2487, 3161, 4606, 5821, 7224, 8140, 996, 1108, 2327, 3810, 4687, 5921, 6708, 8070, 756, 1282, 2556, 3770, 4344, 6117, 6764, 7795, 951, 2034, 2944, 3819, 4687, 5749, 6818, 7365, 308, 2000, 2880, 4145, 4555, 6083, 7010, 8066, 183, 2068, 3064, 3746, 5079, 5586, 7207, 8150, 225, 2111, 3095, 3363, 4411, 6157, 6382, 7386, 225, 1386, 2359, 3535, 4918, 5908, 6962, 7631, 518, 1756, 2529, 3891, 4870, 5500, 7114, 7677, 518, 2118, 2664, 3770, 4398, 6110, 7132, 7303, 228, 2111, 2725, 3574, 4459, 5436, 6671, 7476, 228, 1851, 2565, 3374, 4877, 6110, 7129, 8237, 789, 1756, 2565, 3798, 5075, 5352, 6988, 7537, 789, 2017, 2880, 4071, 5135, 6157, 7129, 8132, 915, 1851, 2669, 3595, 5166, 5580, 7207, 7865, 818, 1756, 2806, 4174, 4398, 6081, 6338, 8147, 915, 1622, 3133, 3825, 4387, 5892, 6604, 7557, 240, 1623, 3062, 3550, 4583, 5678, 6604, 7723, 225, 1452, 2944, 3291, 4898, 5767, 6677, 7677, 617, 2118, 2665, 4145, 4225, 6163, 7160, 7563, 555, 2111, 2833, 3994, 5053, 5678, 6988, 7485, 797, 1684, 2729, 4145, 5007, 5677, 7098, 8147, 860, 1528, 2914, 3825, 4870, 5534, 7077, 8223, 860, 1528, 2806, 3825, 4624, 6139, 6794, 8196, 860, 1528, 2164, 3825, 4624, 6139, 7077, 7766, 488, 2017, 2914, 3893, 4624, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2914, 3893, 4798, 6139, 7124, 7766, 555, 1528, 2833, 3188, 4624, 5635, 7207, 8179, 915, 1684, 2164, 3891, 4704, 6139, 6996, 7485, 488, 1528, 3117, 3367, 4798, 6081, 6752, 8196, 915, 1622, 2833, 3914, 4798, 6081, 7124, 8126, 488, 1528, 2164, 3893, 4704, 6139, 6752, 8223, 4, 2 ]

[ 1, 62, 63, 33, 78, 16, 54, 66, 52, 47, 5, 5, 3, 945, 1528, 2806, 4068, 4888, 6211, 7226, 8147, 860, 1528, 2164, 3825, 4624, 5901, 6794, 8147, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8147, 489, 2073, 2818, 3496, 4829, 5960, 7224, 7992, 1088, 1560, 2688, 3533, 5109, 5924, 6870, 7808, 866, 1324, 2527, 3233, 4770, 6055, 7128, 7869, 283, 1649, 2963, 4096, 4418, 5926, 7086, 7919, 888, 1742, 2382, 3792, 4654, 5926, 7074, 8052, 458, 1375, 2973, 3529, 4381, 6078, 6706, 7586, 1017, 2053, 2132, 4025, 4242, 6022, 6965, 7633, 487, 1882, 2751, 3649, 5124, 5955, 6293, 7967, 1025, 1116, 2379, 3576, 4834, 5325, 6704, 8012, 576, 1732, 2766, 3533, 4386, 5386, 6313, 8214, 225, 1917, 2335, 3261, 5019, 6206, 6227, 7749, 225, 1153, 2976, 3446, 4619, 5706, 6306, 7547, 576, 1286, 2144, 3592, 4829, 5683, 6242, 7612, 576, 1716, 2328, 3592, 4297, 5419, 7052, 7920, 317, 1931, 2487, 3430, 5103, 6172, 6734, 7367, 952, 1455, 2542, 3541, 4598, 5512, 6430, 8102, 1005, 1120, 2210, 3983, 4399, 5664, 7028, 8248, 641, 1510, 2736, 4015, 4816, 5384, 7091, 7953, 1084, 1653, 2401, 3991, 5079, 5512, 6820, 7529, 1033, 1141, 3033, 3686, 5165, 5689, 6651, 7891, 955, 1728, 2436, 3233, 4574, 6166, 6898, 7986, 211, 1809, 2944, 4011, 4536, 5981, 7007, 7991, 684, 1175, 2946, 3188, 4387, 5641, 7201, 7421, 804, 2001, 2936, 3901, 4691, 5630, 7220, 7806, 878, 2098, 2560, 3680, 5061, 5837, 6393, 8041, 568, 2041, 2970, 3994, 4412, 6129, 7232, 7477, 211, 1880, 2163, 3811, 5125, 5579, 6715, 8092, 1011, 1682, 2212, 3822, 4588, 5220, 6603, 8207, 547, 1199, 2736, 3436, 4486, 5325, 7228, 8212, 569, 1199, 2974, 4021, 4724, 5379, 6716, 7585, 1062, 1957, 2480, 4168, 5126, 5673, 6965, 7964, 996, 2059, 2953, 3454, 5152, 5293, 6992, 7936, 221, 1835, 3116, 3913, 5164, 5350, 7200, 7952, 1100, 1283, 2196, 4067, 4595, 6077, 7108, 8149, 221, 1306, 2196, 3741, 5115, 5344, 6692, 8070, 221, 2036, 2751, 3821, 4359, 5384, 7041, 7994, 897, 1692, 2544, 4007, 5128, 5435, 6883, 8270, 465, 2070, 2751, 3764, 4734, 5629, 6674, 7904, 1101, 1706, 2402, 4027, 5123, 5745, 6224, 7312, 884, 1442, 2194, 3316, 4539, 5745, 6883, 8203, 103, 1594, 2687, 4017, 4228, 5973, 6883, 8016, 1081, 1561, 3078, 3994, 4890, 6101, 6382, 7773, 684, 1924, 2924, 3827, 4555, 5548, 6771, 8193, 684, 1623, 3008, 3827, 4551, 6175, 7218, 8195, 488, 1623, 3128, 4018, 4888, 6025, 6972, 8237, 818, 1874, 2730, 3367, 4366, 6103, 7111, 8267, 935, 1998, 3064, 3893, 5080, 6103, 6996, 8179, 555, 1791, 3021, 3803, 5104, 6137, 7084, 8179, 555, 2017, 2730, 4068, 5061, 6139, 7132, 8066, 859, 1750, 2858, 3516, 4980, 5586, 7129, 8185, 859, 1750, 2833, 3374, 4512, 5678, 6604, 7485, 859, 1750, 2833, 4006, 4512, 5219, 7120, 7732, 555, 1468, 2833, 3771, 4870, 5241, 7077, 7732, 555, 1623, 2858, 3827, 4583, 5586, 7090, 8061, 859, 2111, 2858, 3550, 5079, 5548, 6349, 8261, 859, 1695, 2781, 4103, 4727, 5630, 6717, 8237, 859, 1695, 3150, 3891, 4307, 5963, 6996, 7664, 859, 1468, 2775, 3550, 4387, 5413, 7100, 8261, 859, 2127, 2554, 3596, 4890, 5385, 6840, 8126, 4, 2 ]

[ 1, 65, 48, 5, 76, 11, 78, 5, 66, 57, 52, 30, 5, 5, 3, 183, 1112, 2434, 3838, 5179, 5436, 6340, 7962, 568, 1133, 2491, 4096, 4443, 5666, 6430, 7873, 183, 1112, 2904, 4174, 4267, 5765, 6615, 8150, 757, 1597, 3139, 4121, 4344, 5549, 6863, 7252, 617, 1876, 2181, 4096, 4881, 5493, 7140, 7427, 555, 1147, 3098, 4145, 4398, 6129, 6996, 7677, 401, 1206, 2783, 3413, 4882, 5609, 6909, 7537, 271, 1692, 2144, 3532, 4350, 5549, 6474, 7906, 993, 1676, 2791, 3765, 4421, 5793, 6449, 8114, 778, 1755, 2791, 3649, 4402, 5334, 7135, 7954, 831, 1850, 2860, 3521, 5144, 5745, 6702, 7808, 610, 1972, 2598, 3974, 4215, 6201, 6272, 8078, 1056, 1978, 3112, 4028, 5080, 6129, 6810, 7631, 844, 1915, 2971, 3855, 4782, 5410, 7229, 8036, 1067, 1141, 2793, 3695, 4898, 5410, 6843, 8135, 271, 1682, 2868, 4102, 4694, 5908, 6898, 7457, 504, 1557, 2678, 3656, 4285, 5280, 7061, 7697, 643, 1421, 2848, 3582, 4700, 5884, 6934, 7270, 613, 1557, 2331, 3943, 4801, 5968, 6565, 7528, 225, 1806, 2559, 4083, 4539, 5391, 7118, 7927, 225, 1396, 2188, 3855, 4225, 5797, 7120, 8159, 228, 1345, 2542, 4125, 4611, 5653, 7017, 8066, 228, 2127, 2506, 3782, 4398, 5624, 7069, 7664, 789, 1750, 3021, 3951, 4681, 5436, 6486, 7664, 915, 2078, 2806, 3886, 5080, 5811, 7120, 8147, 105, 2097, 3064, 3904, 5061, 5811, 6768, 7806, 256, 1304, 2709, 3352, 5179, 6085, 6917, 8164, 334, 2030, 2593, 3866, 4996, 5787, 6734, 7303, 757, 2065, 2987, 3866, 4681, 5981, 6584, 8266, 403, 1796, 3059, 3430, 5157, 5568, 6936, 8240, 1033, 1337, 2890, 4093, 4494, 6111, 6270, 7273, 1067, 1865, 3037, 3352, 4829, 6111, 6504, 8143, 895, 1582, 2313, 3498, 4752, 5719, 6833, 8165, 249, 1205, 2321, 4132, 4468, 5542, 6611, 7926, 784, 1469, 2674, 3167, 4664, 6191, 6620, 8095, 150, 2027, 2311, 3865, 4734, 5311, 6700, 7955, 504, 2089, 2137, 4027, 4391, 5954, 6911, 7954, 993, 2089, 3091, 3400, 4702, 5337, 7035, 7699, 993, 1572, 2464, 3395, 4728, 5938, 6851, 7879, 1025, 2089, 3032, 3599, 5143, 5863, 6224, 7633, 826, 2056, 2894, 3999, 4191, 5742, 6611, 7856, 1008, 1881, 3149, 3599, 4356, 5247, 6466, 8129, 104, 1874, 2189, 3395, 4278, 5948, 7192, 7505, 850, 1478, 2307, 3644, 5030, 6034, 6309, 7660, 610, 1792, 2771, 3667, 5118, 6123, 7232, 7968, 150, 1251, 2271, 3445, 4857, 6154, 6751, 7288, 887, 1478, 2839, 3543, 5030, 5622, 7184, 7873, 271, 1621, 3090, 4094, 4232, 5760, 6611, 8238, 641, 2089, 2534, 3318, 5005, 6094, 6912, 7479, 778, 1912, 2189, 3370, 4801, 5710, 7158, 7954, 536, 1290, 2173, 3780, 4623, 5512, 6242, 7263, 104, 2089, 3003, 3478, 4644, 5867, 6566, 7525, 850, 1450, 2173, 3458, 4535, 5761, 6405, 7476, 993, 1838, 3003, 3165, 4274, 5272, 6957, 7996, 610, 1141, 2659, 3440, 5085, 5344, 6360, 7349, 171, 1978, 3006, 4094, 5127, 5475, 6809, 8041, 390, 2063, 2340, 3788, 4215, 6085, 7237, 7887, 399, 1541, 2693, 3562, 4616, 5605, 7232, 7438, 123, 2009, 2751, 3251, 4788, 6204, 6735, 7902, 137, 1865, 2871, 3979, 4321, 5914, 6485, 8234, 1062, 2086, 2724, 3741, 4214, 5589, 6694, 7604, 684, 1821, 2944, 4133, 4281, 5366, 6715, 7643, 915, 1406, 2970, 3710, 5165, 6051, 7129, 7916, 488, 2111, 2803, 3803, 5145, 5901, 7058, 8195, 818, 2046, 2781, 3886, 5165, 6195, 7084, 7764, 935, 1620, 2989, 3710, 4583, 5630, 7077, 8260, 859, 1856, 2970, 3891, 4792, 6137, 7168, 7806, 859, 1490, 2775, 3908, 5104, 5811, 6265, 7732, 4, 2 ]

[ 1, 76, 48, 5, 54, 48, 30, 5, 31, 16, 5, 33, 52, 16, 51, 76, 16, 54, 64, 5, 17, 75, 5, 77, 72, 52, 45, 64, 47, 78, 5, 66, 73, 5, 62, 52, 48, 30, 5, 44, 54, 5, 23, 35, 5, 28, 44, 43, 14, 41, 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, 488, 1191, 3117, 3893, 4798, 6081, 6794, 7723, 488, 1648, 2949, 4018, 4798, 5883, 7077, 7949, 818, 1648, 3117, 4018, 4798, 5635, 7084, 7949, 304, 1567, 3053, 4114, 4589, 6123, 6809, 7723, 752, 1868, 2762, 3964, 4865, 5797, 7023, 7768, 1035, 2048, 2648, 3560, 4910, 5580, 7174, 7279, 761, 1415, 2583, 3986, 4883, 5802, 6422, 8146, 545, 2036, 3026, 3162, 5088, 5523, 7041, 7919, 545, 1350, 2927, 4137, 4651, 5745, 7041, 7945, 792, 1550, 2585, 4015, 5098, 5640, 6249, 7317, 806, 1550, 3016, 3728, 5115, 5678, 6458, 7445, 1071, 1644, 2553, 3707, 5100, 5641, 6476, 8261, 1025, 1809, 3092, 3540, 5015, 5886, 6671, 7767, 1035, 1238, 2783, 3732, 4246, 5547, 7019, 7303, 986, 1782, 3042, 3356, 4801, 5424, 6698, 7476, 462, 1674, 2951, 4172, 4419, 5899, 6592, 7858, 545, 1808, 2163, 3576, 5149, 5734, 7043, 7815, 839, 1550, 2678, 3486, 4259, 6002, 6944, 7815, 881, 2053, 2399, 4037, 4576, 5652, 6768, 7862, 807, 2053, 2346, 3321, 4966, 6218, 6335, 7904, 487, 2079, 2794, 3788, 5124, 5734, 6611, 7678, 986, 1140, 2750, 3305, 5124, 5925, 6627, 8058, 545, 1140, 2136, 3208, 5000, 5970, 7002, 7896, 881, 1676, 2865, 3631, 4804, 5733, 7106, 7559, 779, 1523, 3022, 3827, 4423, 5761, 6987, 7313, 211, 2098, 2940, 3374, 5104, 5216, 6709, 8237, 1056, 1945, 2946, 4166, 4287, 6058, 6668, 8085, 211, 2127, 3007, 4085, 4622, 6007, 6646, 7764, 440, 1944, 2957, 3225, 5085, 5493, 6884, 8238, 825, 1268, 2138, 4145, 4780, 5806, 6607, 8215, 117, 1905, 2346, 4000, 4315, 6050, 6995, 7959, 462, 1808, 2309, 3351, 4338, 5682, 6387, 7250, 807, 1205, 2543, 3434, 4969, 5325, 6601, 8000, 886, 1708, 2601, 3234, 4321, 5435, 6814, 7800, 399, 1289, 2610, 3528, 4270, 6135, 6224, 7738, 936, 1706, 2585, 3421, 4350, 6044, 6978, 7450, 807, 1407, 2987, 3329, 4429, 5304, 6238, 7857, 397, 1317, 2544, 3864, 4649, 5696, 6474, 8265, 1103, 1289, 2589, 3596, 5121, 6034, 7076, 7652, 1103, 1376, 2988, 3812, 4586, 6034, 7140, 8241, 835, 1346, 2751, 3509, 4510, 6013, 6848, 8212, 774, 1983, 2626, 4015, 4835, 6144, 6775, 7752, 655, 1617, 2282, 3483, 5031, 5459, 6710, 7777, 876, 1828, 2495, 3493, 4929, 5970, 6482, 7921, 665, 2089, 2626, 3649, 4358, 5799, 6249, 7900, 545, 1682, 2766, 3712, 5151, 5408, 6335, 7881, 150, 2050, 3075, 3813, 4946, 5257, 6352, 7765, 803, 1199, 2842, 3995, 5126, 5254, 6731, 8212, 363, 1503, 2900, 3447, 5081, 5392, 7143, 7746, 546, 1682, 2710, 3475, 5031, 5370, 6633, 7361, 612, 1633, 3074, 3159, 5188, 6101, 6754, 7966, 893, 1510, 2912, 3892, 4848, 5791, 6875, 7955, 103, 1139, 2931, 3928, 4845, 5923, 7075, 7488, 833, 1777, 2762, 3937, 5166, 5630, 7075, 8012, 484, 1475, 3110, 4166, 4630, 6175, 7207, 7494, 427, 1623, 2729, 4152, 5080, 5471, 6709, 7515, 1099, 1933, 2946, 4152, 4387, 6051, 6966, 7260, 485, 1237, 2998, 3414, 4423, 6089, 6649, 7822, 211, 1750, 2254, 4124, 4622, 5893, 7047, 7482, 650, 2106, 2484, 4135, 4717, 6190, 6734, 7939, 104, 1660, 2456, 3983, 4462, 6213, 6518, 7508, 908, 1318, 2728, 3496, 4475, 5745, 6572, 8023, 665, 1708, 3092, 3751, 4345, 5392, 6826, 7535, 993, 1490, 2783, 4021, 5001, 5665, 6521, 7542, 526, 1797, 2706, 3515, 4186, 5408, 6403, 7299, 936, 1794, 2710, 3276, 4699, 5223, 6484, 7881, 761, 1141, 2725, 3634, 4531, 5429, 7068, 8049, 731, 1566, 2432, 3355, 4573, 6192, 7035, 7402, 223, 1531, 2905, 3342, 4972, 5613, 7056, 7363, 716, 1141, 2581, 3233, 4755, 5993, 7228, 7555, 262, 1830, 3080, 3304, 4536, 5641, 6225, 7753, 216, 2091, 2313, 3430, 4343, 5447, 7240, 7576, 1033, 1898, 2881, 3286, 4784, 6019, 7096, 7528, 1014, 1707, 2370, 3541, 4321, 5223, 6704, 7438, 127, 1996, 2992, 3430, 4303, 5658, 6723, 7962, 518, 1388, 2923, 3518, 4215, 5429, 7170, 7876, 654, 1345, 2941, 3891, 5104, 5963, 6607, 8118, 518, 2114, 2820, 3555, 5083, 6110, 7038, 8080, 654, 2106, 2718, 3359, 4916, 6034, 7149, 7838, 654, 2106, 2992, 3886, 5007, 5830, 7098, 7677, 518, 1961, 2469, 3645, 4764, 5521, 6623, 7303, 617, 1468, 2803, 3586, 4622, 6149, 7168, 7806, 959, 1827, 2775, 3704, 4872, 5615, 6566, 7570, 685, 2125, 2910, 3412, 5034, 5614, 7003, 8263, 816, 1608, 2271, 4074, 5074, 5658, 6919, 7445, 806, 1239, 2249, 3941, 4875, 5665, 7066, 7578, 750, 1700, 2440, 3478, 4334, 5212, 6618, 8034, 955, 1887, 3043, 3649, 5040, 5493, 6594, 8213, 752, 1125, 2876, 3272, 4595, 5264, 6733, 7823, 650, 2126, 2440, 3843, 4878, 5565, 6584, 8030, 160, 1753, 2564, 4113, 4819, 6050, 6856, 7398, 806, 2013, 2903, 4147, 4392, 5790, 6576, 8117, 807, 1820, 2543, 3812, 4292, 6140, 7163, 7451, 487, 1708, 2918, 3967, 5169, 5665, 7181, 8099, 487, 1553, 2506, 4070, 4446, 5643, 6256, 7627, 986, 1250, 2156, 3340, 4506, 5656, 6776, 7927, 802, 1826, 2797, 3356, 5122, 5325, 6287, 7665, 344, 1682, 2788, 3356, 4651, 6010, 6760, 7587, 569, 1199, 2846, 4117, 4592, 5393, 7053, 7627, 806, 1199, 2399, 3310, 4983, 5344, 7208, 8013, 1090, 1145, 3149, 3276, 4651, 5713, 6772, 7627, 752, 2024, 3040, 3241, 4374, 5727, 6849, 7976, 545, 1723, 2692, 3582, 5095, 5586, 6668, 7913, 1066, 1971, 2429, 3869, 4966, 5884, 6680, 7899, 1052, 1924, 2795, 4096, 4664, 5436, 6517, 7577, 993, 1570, 2649, 3674, 4748, 6034, 6966, 7916, 986, 1385, 2654, 3498, 4521, 5824, 7061, 8016, 1006, 1164, 2890, 4015, 5100, 5544, 7025, 8051, 986, 1231, 2664, 3517, 4215, 6145, 7078, 7743, 613, 1688, 2415, 3993, 4954, 5521, 6520, 8132, 576, 1675, 2360, 3749, 4849, 5831, 6477, 7398, 225, 1326, 2847, 3528, 4978, 5413, 7103, 7867, 654, 1165, 3022, 3605, 5115, 5602, 6895, 8077, 654, 1684, 2156, 3767, 4606, 5550, 6515, 8069, 654, 1345, 2941, 3891, 5138, 5767, 6709, 7838, 654, 1345, 2992, 3592, 5143, 6085, 7125, 8213, 195, 2111, 3091, 3993, 4982, 5665, 7096, 7605, 518, 2127, 3040, 4092, 5040, 5797, 7017, 7887, 228, 1750, 2221, 4015, 4344, 6085, 6840, 8261, 543, 1623, 3021, 3914, 4555, 5890, 7239, 8076, 899, 1797, 2315, 3827, 4611, 5892, 7230, 7919, 160, 1233, 2327, 3918, 5012, 6204, 6443, 7753, 545, 1350, 2830, 3943, 4954, 6086, 6255, 8238, 545, 1350, 2327, 4037, 5100, 6002, 6592, 7497, 839, 1561, 2346, 3398, 4321, 5652, 7241, 7665, 582, 1671, 2346, 3421, 4218, 5603, 7133, 8178, 569, 1550, 2419, 3943, 4482, 5843, 6965, 7542, 806, 1550, 2826, 3610, 4934, 5727, 7033, 7442, 887, 1692, 2503, 3279, 4934, 6003, 6923, 7852, 887, 1692, 2426, 3417, 4691, 5589, 6458, 8210, 150, 1550, 2180, 3584, 5190, 5478, 6530, 7712, 504, 1692, 2426, 3337, 4720, 5665, 6504, 8241, 545, 1777, 2346, 3786, 4255, 5257, 6225, 7846, 150, 1550, 2992, 3552, 4539, 5899, 6483, 8197, 643, 1206, 2717, 3417, 5115, 5273, 6905, 7291, 545, 1570, 2992, 3732, 4546, 5972, 6301, 7312, 613, 1234, 2717, 3939, 4946, 5514, 6388, 7864, 995, 1363, 2531, 3679, 4267, 5773, 6840, 7383, 913, 1480, 2432, 3433, 5083, 5378, 7154, 7941, 913, 2067, 2415, 3353, 4542, 6101, 6512, 8191, 613, 1120, 2332, 3648, 4621, 6195, 7058, 8061, 448, 2067, 2316, 3767, 4421, 5978, 7063, 7732, 576, 1421, 2669, 3352, 4592, 5441, 7054, 8251, 1014, 1773, 2554, 4074, 4371, 5224, 7119, 7992, 654, 1939, 2729, 3391, 4877, 5899, 6315, 7906, 654, 1289, 2792, 3983, 5138, 5883, 6720, 8260, 617, 2127, 2833, 3917, 4379, 6146, 6810, 8260, 555, 2017, 3021, 3470, 4870, 5514, 7232, 8237, 818, 2017, 2914, 3595, 4877, 5635, 6604, 8260, 915, 1804, 3117, 3595, 4366, 5883, 7084, 8066, 105, 2068, 3021, 3595, 4512, 6149, 7239, 7476, 859, 1750, 3133, 3374, 4555, 5661, 7120, 7806, 617, 1564, 3133, 3710, 5159, 5892, 7069, 8261, 617, 2032, 2839, 3564, 5165, 6137, 7160, 7664, 757, 2032, 2172, 3723, 5141, 6103, 7069, 8252, 617, 2127, 2833, 3857, 4916, 6163, 6515, 7865, 617, 1304, 3095, 3595, 4916, 5515, 7160, 7732, 617, 2111, 2971, 3227, 4611, 5580, 6701, 7715, 617, 2032, 2856, 3391, 4622, 6195, 6701, 7563, 552, 2106, 2356, 3710, 4681, 5550, 7103, 7838, 105, 1564, 2340, 3391, 5007, 5438, 7239, 7397, 915, 2078, 2806, 4174, 4704, 5963, 7120, 7476, 201, 1191, 3117, 3825, 4630, 6139, 7077, 7715, 488, 1622, 2806, 3893, 4551, 6139, 6786, 8223, 1097, 1750, 2324, 4071, 4551, 5241, 7226, 7782, 334, 2064, 2370, 3183, 5045, 6171, 6259, 7397, 568, 1684, 3133, 3555, 4398, 5612, 6820, 7906, 153, 2111, 2791, 3470, 4890, 5865, 6965, 8014, 486, 1932, 2397, 4043, 4266, 5393, 6286, 8043, 392, 1663, 2225, 3704, 4830, 6031, 6816, 7765, 138, 1565, 2508, 3748, 4504, 5310, 7008, 7886, 767, 1542, 2394, 3293, 5024, 5500, 6810, 7256, 216, 2032, 2925, 3376, 4856, 6100, 6521, 7939, 512, 1869, 2754, 3957, 4276, 5493, 7132, 7976, 956, 1791, 2957, 3886, 4589, 5705, 6752, 7807, 510, 1933, 3128, 3932, 5165, 6129, 7047, 8267, 510, 1933, 2860, 4150, 4822, 5832, 6988, 8267, 818, 1945, 2781, 4018, 5165, 6085, 6668, 8147, 818, 1804, 3117, 4150, 4822, 5705, 7239, 7876, 186, 1508, 2746, 3945, 5080, 6129, 7226, 7631, 488, 1622, 3110, 3893, 4624, 6139, 6979, 8179, 818, 2017, 2957, 4071, 4798, 5241, 7218, 7766, 818, 1705, 2914, 3226, 5058, 5635, 7084, 8147, 541, 1515, 2328, 3425, 4541, 5615, 6719, 7317, 757, 1858, 2324, 3932, 4737, 5603, 6732, 7947, 617, 1381, 2946, 3440, 4374, 5438, 6504, 7732, 571, 1141, 3144, 4114, 4727, 5736, 7220, 7723, 408, 1173, 3049, 3352, 5083, 5340, 7192, 8227, 948, 1490, 2338, 4147, 4927, 5924, 6819, 7787, 1003, 1450, 2678, 3742, 4443, 5651, 6234, 7303, 480, 1450, 2271, 3955, 4441, 5764, 7043, 7263, 480, 1896, 2658, 3566, 4701, 5483, 7037, 7789, 902, 1896, 2658, 3425, 4189, 5898, 6861, 7559, 545, 1450, 3091, 3752, 4555, 5981, 7069, 8129, 545, 1233, 2148, 3356, 4875, 5988, 6884, 7504, 582, 2024, 2335, 3475, 5193, 6179, 6956, 7394, 613, 1118, 2225, 3692, 5183, 6063, 6573, 8018, 545, 1871, 2502, 3928, 4601, 5840, 7098, 7740, 613, 2066, 2432, 4120, 4421, 5400, 6905, 7966, 304, 1691, 2282, 3576, 4204, 5780, 6224, 7313, 986, 1399, 2314, 3245, 4539, 6119, 6619, 7980, 487, 1227, 2137, 4010, 4364, 5250, 6803, 7899, 1025, 1439, 2497, 3576, 4364, 5485, 6449, 8189, 487, 1915, 2137, 3593, 4364, 5578, 6491, 8227, 610, 1782, 2923, 3243, 4278, 5810, 6403, 7528, 545, 1721, 2655, 3394, 5031, 5432, 6224, 7927, 641, 1550, 2783, 3949, 4321, 5381, 7065, 7537, 424, 1876, 2945, 3576, 5026, 5978, 6740, 7466, 103, 1399, 2591, 3337, 4364, 5892, 7141, 7717, 211, 1286, 2369, 3361, 4980, 6166, 7201, 7641, 390, 2127, 3095, 3909, 4630, 5993, 6967, 7706, 708, 1782, 2799, 3596, 4282, 5613, 7103, 7936, 582, 1265, 2669, 3596, 4521, 5478, 6371, 8082, 806, 2127, 2656, 3268, 4790, 5980, 7219, 7918, 487, 2067, 2683, 3752, 4978, 5576, 6763, 8193, 326, 1244, 2335, 4037, 4829, 5800, 6728, 7691, 1052, 1695, 3039, 3995, 4343, 5610, 7223, 8016, 806, 1695, 2799, 3648, 5079, 6063, 6980, 7403, 1090, 1989, 3147, 3776, 4715, 5320, 6663, 7363, 424, 1255, 2688, 3448, 5166, 5979, 7168, 7646, 1090, 1350, 2924, 3540, 5052, 6147, 7152, 7865, 424, 1753, 2716, 3851, 4224, 5968, 7162, 7878, 462, 1349, 2346, 3651, 4460, 5809, 6354, 7468, 683, 1703, 2696, 3925, 4577, 5923, 7078, 7527, 302, 1703, 2151, 3356, 4325, 5944, 6644, 7419, 921, 1503, 2553, 4072, 5062, 5858, 6888, 7331, 485, 1503, 2344, 3859, 4184, 5729, 6830, 8169, 208, 1183, 2713, 3840, 4210, 6125, 6360, 7769, 494, 1183, 2198, 3263, 4495, 5849, 6907, 8190, 1063, 2050, 2954, 3998, 4727, 5344, 6328, 8142, 1030, 2035, 2198, 4080, 4471, 5344, 6691, 7655, 738, 1469, 2300, 3220, 4258, 5325, 6668, 7313, 1063, 1469, 2218, 3388, 4586, 5231, 6900, 8071, 160, 1104, 2189, 3759, 4722, 6009, 7188, 8256, 1022, 1499, 2394, 3568, 4325, 6113, 6472, 7494, 942, 1734, 2661, 4105, 4268, 6007, 6723, 7798, 887, 1512, 2899, 3300, 4616, 5403, 6442, 7266, 536, 1512, 2847, 3950, 5062, 6137, 6849, 7814, 536, 1512, 2868, 4142, 4394, 5280, 6540, 8148, 104, 1141, 2248, 3380, 5094, 5730, 7017, 7256, 1025, 1850, 2891, 3536, 5098, 5425, 6732, 8103, 308, 1238, 3098, 3990, 4276, 5534, 6260, 7528, 211, 1700, 2232, 3803, 5166, 6103, 6551, 7428, 211, 2079, 3038, 3206, 4980, 5883, 6852, 8237, 304, 1791, 2860, 3990, 4583, 6146, 7023, 7948, 1052, 1924, 2720, 3788, 5075, 5212, 6349, 7602, 643, 1561, 2923, 3349, 4999, 5651, 7215, 8049, 487, 1782, 2346, 3268, 5142, 5216, 7041, 7349, 807, 1689, 2456, 3969, 4213, 5742, 7104, 7548, 1101, 1287, 2298, 3986, 4839, 5778, 6832, 7751, 725, 1831, 2601, 3399, 4916, 6092, 6813, 8190, 1035, 1905, 2154, 3366, 4474, 5734, 7167, 7624, 1062, 1867, 2453, 3752, 4752, 6118, 6371, 7291, 776, 1756, 2151, 3624, 5130, 6010, 6774, 7387, 952, 1862, 2721, 3512, 4539, 5662, 6655, 8012, 1102, 1939, 2981, 3595, 4781, 6222, 7072, 7962, 373, 1110, 2189, 3533, 4691, 5677, 6648, 7706, 373, 1945, 2469, 3740, 4379, 5717, 6648, 7856, 844, 1499, 2708, 3648, 4787, 5660, 7161, 7689, 1052, 1759, 2316, 3974, 4564, 6005, 6651, 7333, 802, 2109, 2431, 3418, 4546, 5245, 6478, 7721, 893, 1346, 3140, 3289, 4351, 6174, 6510, 8175, 1101, 2011, 3040, 3722, 4663, 5400, 7005, 7649, 653, 1548, 2869, 3693, 4326, 5223, 6978, 7613, 492, 1140, 2623, 3685, 5022, 6194, 6357, 7761, 242, 1146, 2869, 4072, 4291, 5944, 6984, 8038, 113, 1346, 2425, 3706, 4351, 5742, 6614, 7640, 952, 1193, 2869, 4097, 4949, 5359, 6982, 7879, 1094, 1984, 2221, 3835, 4542, 5740, 7112, 7981, 603, 1591, 2345, 3318, 4558, 5748, 7115, 7811, 663, 2034, 2381, 3240, 4316, 5432, 7006, 7811, 959, 2063, 2803, 3680, 4558, 5296, 6959, 8209, 684, 1869, 2598, 4083, 4980, 6112, 7098, 7876, 256, 2078, 2493, 3982, 5026, 5573, 7095, 7485, 256, 1304, 2730, 3710, 4529, 6014, 6515, 7563, 518, 1289, 3035, 3564, 4983, 5218, 7084, 7537, 256, 1528, 2781, 3226, 5104, 5548, 6612, 7717, 489, 1198, 2880, 4089, 4276, 5811, 7160, 7515, 256, 2127, 2781, 3879, 5135, 5436, 6844, 8185, 256, 1304, 2340, 3595, 4681, 5241, 7207, 7485, 256, 1596, 3150, 3391, 4870, 5901, 6607, 8080, 256, 1648, 3065, 3564, 4648, 5811, 7120, 7557, 256, 1490, 2746, 3515, 5159, 5219, 6291, 8080, 789, 2127, 3144, 3891, 4549, 5493, 6607, 8147, 256, 2073, 2880, 4068, 4583, 5303, 7160, 8076, 256, 1750, 2781, 3555, 4775, 5548, 7103, 8126, 617, 2073, 2791, 4096, 5060, 5677, 6615, 8126, 475, 2127, 3026, 3803, 4512, 5438, 6607, 8237, 555, 1468, 3026, 3407, 4387, 5963, 6291, 7723, 186, 2073, 2833, 3680, 4704, 5963, 6752, 7485, 860, 2017, 2914, 3825, 4704, 5219, 7124, 7766, 860, 1528, 2806, 3893, 4624, 6139, 7226, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2806, 3893, 4704, 6186, 7226, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 16, 54, 30, 5, 14, 66, 5, 76, 17, 54, 64, 5, 44, 54, 66, 73, 5, 43, 45, 78, 5, 53, 26, 54, 30, 5, 62, 14, 64, 66, 5, 31, 16, 5, 43, 17, 65, 5, 16, 54, 30, 5, 64, 20, 41, 66, 54, 16, 64, 5, 17, 75, 5, 31, 16, 5, 64, 54, 57, 5, 5, 3, 945, 1528, 2806, 4068, 4704, 6139, 6589, 8147, 915, 1851, 3117, 3595, 4512, 5612, 6752, 7485, 789, 1623, 2833, 3914, 4762, 5719, 6752, 7865, 489, 1561, 2856, 3770, 4598, 5616, 6630, 8151, 966, 1649, 2355, 3313, 4420, 6080, 6614, 7513, 740, 1226, 3029, 3720, 5010, 5351, 6680, 7930, 966, 1349, 2355, 3613, 5184, 6056, 7039, 7463, 559, 1453, 2835, 3202, 4295, 6034, 6399, 7358, 559, 1489, 2751, 3583, 4496, 6034, 7133, 8258, 139, 2036, 2400, 3227, 4316, 5839, 6452, 7590, 807, 1266, 2359, 3720, 4285, 5671, 7056, 8206, 150, 1238, 2610, 3869, 5150, 5531, 7244, 7510, 104, 2107, 2210, 3271, 4706, 5749, 6730, 7693, 391, 2055, 2502, 4115, 4543, 5204, 6426, 7393, 408, 1747, 2693, 3395, 4910, 5478, 6884, 7555, 610, 1472, 2638, 3193, 4374, 6048, 6669, 8118, 951, 1349, 2369, 4102, 4307, 6204, 6348, 7714, 559, 1719, 2974, 3353, 4702, 5233, 7099, 8256, 326, 1695, 2380, 3778, 5194, 5755, 6919, 7684, 702, 1695, 2298, 3562, 4927, 5898, 6730, 7929, 620, 1536, 2871, 4154, 4302, 6163, 6993, 7899, 952, 1564, 2724, 3623, 4353, 6097, 7014, 7498, 951, 1938, 2820, 3316, 5061, 5714, 6453, 8181, 308, 1752, 2775, 3226, 5038, 5705, 6677, 8075, 804, 1705, 2820, 3671, 4287, 5705, 6292, 7557, 308, 1467, 2381, 4068, 4387, 5883, 6752, 7421, 390, 2046, 3007, 3645, 5183, 6137, 7077, 8076, 211, 1705, 2880, 4011, 5061, 5883, 7047, 8260, 390, 1933, 2895, 3908, 4551, 6129, 6584, 7807, 776, 1139, 2493, 3827, 5129, 6063, 6852, 7494, 891, 1175, 2730, 4016, 4181, 5305, 6967, 7806, 569, 1251, 3130, 4115, 5182, 5414, 6921, 7957, 547, 1469, 2559, 3699, 4460, 5836, 6528, 7992, 277, 1469, 3005, 3514, 4285, 5675, 6681, 8001, 137, 1914, 2137, 4079, 4963, 5675, 7204, 7481, 988, 1854, 2373, 4017, 4273, 5403, 6777, 7835, 810, 1630, 2274, 3614, 4882, 5512, 6980, 8149, 1080, 1682, 2954, 3764, 4691, 5943, 7131, 8055, 862, 1183, 2907, 3359, 4775, 6125, 7106, 7487, 1024, 1231, 3040, 3561, 4612, 5535, 6717, 7616, 547, 1755, 2188, 3794, 5036, 5858, 6444, 7488, 401, 1177, 2188, 3334, 4565, 5231, 6884, 7916, 948, 1827, 2775, 4017, 4565, 6016, 7221, 7834, 335, 1886, 2810, 3410, 4470, 5539, 6755, 8030, 731, 1522, 2810, 4085, 4691, 6014, 6938, 7831, 216, 1309, 3006, 3710, 4773, 5385, 6515, 8164, 401, 1992, 2391, 3885, 4980, 5978, 7132, 8195, 304, 2068, 3128, 3361, 4822, 5899, 6709, 8185, 453, 1326, 3126, 3746, 4229, 5515, 7096, 7919, 228, 1961, 2838, 3376, 5138, 5765, 6224, 8267, 654, 1467, 2565, 4125, 4241, 6085, 6607, 7842, 228, 1858, 2473, 3226, 4870, 5730, 7100, 7732, 228, 2106, 2833, 4113, 5138, 5811, 7232, 7831, 228, 2106, 2741, 4089, 4681, 5963, 7132, 8262, 225, 1424, 2316, 4006, 4644, 6061, 6619, 8236, 225, 1564, 3048, 3928, 4344, 5795, 6612, 7255, 654, 2106, 2729, 3374, 4622, 5377, 6338, 7677, 228, 1851, 2833, 4006, 5079, 5352, 6889, 7770, 228, 1853, 2554, 3394, 4555, 5413, 6412, 8236, 228, 1684, 2221, 4125, 5075, 5493, 6772, 8185, 183, 1286, 2473, 3217, 5168, 6205, 6612, 8185, 1056, 1349, 2138, 3975, 4985, 5516, 7232, 7641, 216, 2046, 2839, 3917, 5022, 5565, 7127, 7693, 1059, 1564, 3088, 3171, 4281, 5388, 6525, 7555, 1062, 1112, 2629, 3555, 4379, 5440, 7127, 8187, 660, 1948, 2468, 3596, 4338, 5818, 6224, 7563, 672, 1167, 2242, 3284, 4412, 5597, 7078, 7815, 672, 1633, 2736, 3272, 5085, 5507, 6224, 8045, 936, 1572, 2503, 3966, 4790, 5828, 7143, 7785, 807, 1494, 2924, 3239, 4682, 5996, 6426, 7429, 887, 1548, 3097, 3248, 4179, 6084, 6654, 8045, 752, 1363, 2298, 3605, 5127, 5622, 7192, 7614, 1033, 1296, 2132, 3193, 4736, 5218, 7043, 7846, 1033, 1721, 2349, 3154, 4717, 6070, 6776, 7509, 887, 1227, 2834, 3154, 4387, 5204, 7218, 8271, 512, 1475, 3149, 4114, 5050, 5864, 6393, 7677, 555, 2064, 2947, 4011, 4536, 5981, 6810, 8237, 334, 1898, 2250, 3662, 4694, 5766, 7103, 7657, 518, 1998, 2687, 3555, 4877, 5993, 6562, 8261, 757, 1749, 2542, 3297, 5125, 5719, 7009, 7259, 617, 1403, 2151, 3857, 4675, 5438, 6486, 7878, 1102, 1915, 2833, 3662, 4611, 6205, 6414, 7778, 223, 1368, 3075, 3623, 5073, 5289, 6538, 7915, 955, 1691, 2470, 3892, 4862, 5993, 7162, 7888, 942, 1779, 2429, 4078, 4930, 5512, 7238, 7524, 271, 1531, 2732, 3217, 4701, 6019, 6555, 7588, 150, 1513, 2282, 3870, 4429, 5583, 7059, 7341, 1029, 1814, 3080, 3776, 4830, 5413, 7173, 7423, 150, 1603, 2339, 4084, 5110, 6115, 6599, 8172, 1057, 1828, 2565, 3979, 4990, 5582, 6269, 7932, 610, 1675, 2429, 3376, 5107, 6031, 6224, 8017, 1084, 1388, 2871, 3669, 5079, 6204, 6678, 7816, 1033, 2118, 3026, 3642, 4735, 5754, 6863, 7964, 868, 1282, 3033, 3704, 4229, 5796, 6591, 8131, 465, 1732, 2751, 3182, 5154, 5648, 7047, 8103, 884, 1815, 3037, 3882, 4501, 5536, 6382, 7313, 807, 1763, 2339, 4106, 4539, 5925, 6753, 8120, 1101, 1637, 2631, 3819, 4694, 5333, 6572, 7674, 981, 1778, 2761, 3384, 4534, 5233, 7128, 8261, 1059, 1938, 2567, 3887, 5187, 5333, 7160, 7462, 654, 1494, 2239, 3909, 4364, 5803, 6612, 8210, 576, 1489, 2696, 3522, 5167, 6128, 7174, 7827, 518, 1747, 2924, 3407, 4877, 5556, 7059, 8213, 317, 1540, 2473, 3631, 4193, 5276, 6430, 8057, 390, 2078, 2925, 4027, 4764, 5918, 6354, 7867, 980, 2097, 3033, 4085, 4448, 5811, 7090, 7570, 678, 1878, 2750, 3488, 4426, 6175, 6393, 7811, 850, 1676, 2944, 3361, 5085, 6128, 7143, 8117, 778, 1770, 2741, 3776, 4321, 6051, 7023, 7548, 104, 1865, 2715, 3789, 5165, 5538, 6768, 8195, 826, 2079, 2436, 4138, 5152, 5286, 7157, 8159, 887, 1238, 2348, 3649, 4622, 5918, 7023, 7574, 104, 1682, 2678, 3676, 4531, 6128, 6891, 7642, 271, 1348, 2607, 3482, 4293, 5815, 7085, 7957, 569, 1468, 3072, 3833, 4678, 5984, 6911, 7288, 404, 1199, 2556, 3457, 4804, 5304, 6404, 7678, 113, 1468, 2232, 3314, 4773, 5256, 6588, 7918, 113, 1660, 2791, 3557, 4364, 5276, 6884, 7481, 923, 1609, 2925, 3864, 4781, 5624, 6925, 8095, 895, 1468, 2222, 3515, 4639, 5769, 6360, 7438, 1067, 2059, 2728, 3421, 4468, 5535, 6814, 7911, 569, 1918, 2316, 3561, 4321, 5793, 6629, 7403, 840, 1468, 2869, 3688, 4542, 5653, 6981, 8253, 465, 1789, 2727, 3676, 4846, 5660, 6348, 8242, 465, 2036, 2869, 3563, 4297, 6002, 6787, 7545, 465, 1600, 2882, 3243, 4804, 5603, 6991, 7470, 465, 1695, 2727, 3552, 4804, 5660, 6371, 7980, 986, 1306, 2869, 3615, 4804, 5734, 6265, 7946, 150, 1896, 2401, 3924, 4804, 5620, 6608, 7775, 610, 2053, 2669, 4027, 5160, 6018, 6630, 7962, 610, 1499, 2926, 3771, 5180, 6192, 6402, 7976, 610, 2009, 2783, 3326, 4586, 5308, 6572, 7559, 1025, 1797, 2586, 3917, 4672, 5539, 7207, 7895, 1025, 1494, 2970, 4041, 4706, 6205, 6719, 8205, 1025, 1897, 2970, 3568, 4536, 6108, 6830, 7256, 1025, 2079, 2783, 3492, 4387, 6007, 6979, 8076, 390, 1915, 2925, 3982, 4888, 5705, 6630, 8078, 308, 2000, 2498, 4166, 4323, 5210, 7239, 7570, 956, 2000, 2957, 3671, 4265, 6014, 7220, 8237, 186, 2000, 2838, 3886, 4551, 6195, 7239, 7720, 956, 2041, 3043, 4174, 4822, 6129, 6972, 7949, 171, 1941, 2858, 4145, 5033, 5493, 6774, 7557, 171, 1381, 3135, 3891, 4512, 5385, 6996, 8066, 942, 2065, 2520, 4168, 4529, 5935, 6551, 8070, 113, 1455, 2987, 4146, 5157, 5538, 7087, 7277, 1052, 1140, 2570, 3700, 5125, 5843, 7091, 7683, 819, 1797, 2346, 3672, 4218, 6061, 6552, 7462, 1040, 1140, 2390, 3669, 4804, 5418, 6595, 7546, 492, 1944, 2529, 3709, 4440, 5560, 6550, 7574, 113, 1821, 2380, 3936, 4805, 6217, 7241, 7918, 620, 1171, 2569, 3624, 4326, 5541, 7079, 8238, 1024, 1940, 3032, 3467, 4969, 5800, 7174, 8028, 776, 1747, 2469, 3839, 4320, 5443, 6727, 8009, 1102, 1346, 2616, 4074, 4781, 6118, 7188, 7815, 390, 1906, 2803, 3718, 5135, 5325, 6514, 7602, 256, 1467, 2839, 3595, 4541, 5911, 6579, 8179, 225, 1311, 2609, 3350, 5166, 5436, 7097, 7697, 225, 2060, 2156, 3798, 4513, 6189, 6646, 7811, 228, 2034, 2473, 4137, 5179, 5844, 6996, 8195, 228, 1851, 2282, 4125, 4638, 5429, 7160, 8061, 240, 2002, 2683, 4168, 4877, 5624, 7207, 7563, 240, 2088, 2473, 3951, 5138, 5767, 7090, 8130, 915, 1851, 2669, 4113, 5166, 5241, 6579, 8147, 915, 2017, 2806, 3825, 4704, 6097, 6612, 8080, 818, 1648, 2806, 3825, 4859, 5241, 7226, 8147, 789, 1622, 2466, 4114, 4863, 5514, 6740, 7641, 1097, 1869, 3133, 3413, 5058, 6211, 7058, 7563, 1033, 1933, 2903, 3648, 4278, 5978, 6302, 8045, 723, 2088, 2314, 3960, 5072, 5953, 6679, 7620, 840, 1490, 2705, 3649, 4709, 6002, 6419, 7602, 459, 1199, 2580, 3470, 4670, 5510, 6482, 8086, 171, 1939, 2869, 3826, 4427, 5296, 6982, 8172, 871, 1183, 2556, 3512, 4595, 5514, 6882, 8227, 820, 1199, 2847, 4103, 5068, 5696, 6414, 7761, 857, 2065, 2718, 3564, 4215, 5575, 6324, 8233, 473, 1519, 2554, 3471, 5044, 5360, 6338, 8233, 473, 1468, 2843, 3607, 4536, 5506, 6775, 8252, 863, 1963, 2949, 4168, 5068, 5824, 6541, 7895, 857, 1146, 2293, 3512, 4546, 5491, 6597, 8182, 113, 1455, 2822, 3704, 4967, 6019, 6612, 7991, 650, 1632, 2374, 3356, 4213, 5816, 6260, 8121, 113, 1503, 2374, 3912, 4305, 5962, 6822, 7783, 492, 1212, 2869, 3509, 4639, 5286, 6663, 7438, 492, 1496, 2956, 3552, 5135, 5251, 6457, 8263, 887, 1557, 2151, 3770, 4553, 5658, 7045, 7411, 1033, 1940, 2775, 3596, 4197, 5276, 6975, 7311, 980, 1995, 2315, 3575, 5143, 5767, 6604, 7928, 757, 1430, 2976, 4166, 4870, 5538, 6614, 8209, 568, 2013, 3022, 3798, 4920, 5625, 6917, 8126, 568, 2013, 2432, 3798, 4630, 5963, 7162, 7904, 757, 1971, 2409, 4166, 4859, 6149, 7207, 7723, 757, 1971, 2473, 3352, 4486, 5844, 6547, 8076, 183, 2106, 2775, 3364, 5166, 5677, 7129, 7367, 617, 1876, 2454, 4096, 4727, 5935, 7024, 7732, 757, 2127, 2775, 3225, 4658, 5863, 6717, 7367, 757, 1633, 3021, 3595, 4267, 5981, 6607, 7873, 183, 2106, 2468, 3771, 5159, 5296, 6466, 8102, 183, 1286, 3065, 3407, 5157, 6160, 6909, 7717, 183, 1286, 3144, 4145, 4844, 6182, 6909, 8147, 183, 2106, 3021, 3955, 4486, 5672, 7120, 7303, 183, 1286, 3144, 4113, 4387, 5767, 6607, 7677, 617, 1623, 2839, 3857, 5138, 5713, 7006, 7563, 859, 1750, 2925, 3827, 5166, 6103, 7207, 8076, 818, 1856, 3006, 4145, 4870, 6139, 7111, 7949, 859, 1804, 2838, 4145, 5104, 5892, 6584, 7831, 335, 1851, 2834, 3933, 4387, 5220, 6898, 7290, 942, 1318, 2356, 3965, 4629, 5719, 6750, 7811, 759, 1217, 2247, 3874, 4454, 5942, 7055, 7768, 459, 1977, 3033, 3519, 4937, 5436, 6844, 7297, 897, 1332, 2670, 3699, 5011, 5265, 6812, 8081, 247, 1636, 2691, 3432, 4476, 5972, 6611, 8069, 247, 1472, 2945, 3481, 4248, 6107, 6514, 8037, 465, 1397, 2274, 3298, 5128, 5346, 6422, 8139, 895, 2067, 2725, 3429, 5122, 5706, 7002, 7817, 160, 1608, 3019, 4135, 4743, 5584, 6666, 8156, 778, 1755, 2476, 3605, 4849, 5704, 6668, 7991, 887, 1227, 2834, 3605, 4999, 5586, 6402, 8078, 1090, 1773, 2754, 3390, 5106, 5204, 6736, 7290, 211, 1212, 2915, 3949, 5129, 5413, 6723, 7658, 211, 1581, 2926, 4115, 4589, 5210, 6382, 8195, 1037, 1945, 2728, 3361, 5165, 6129, 6776, 7627, 228, 2034, 2241, 3749, 4533, 5983, 6612, 8073, 654, 1550, 3038, 3516, 4486, 5832, 6291, 7716, 654, 1853, 2316, 4145, 4571, 5438, 6988, 7386, 518, 1971, 3004, 3417, 4859, 5892, 6466, 8239, 518, 2127, 2424, 3891, 4638, 5385, 6677, 7627, 654, 1345, 3064, 3891, 5079, 6149, 6607, 7715, 518, 1756, 3064, 3798, 4555, 6101, 6757, 8147, 654, 2065, 2904, 3394, 5075, 5413, 7246, 7927, 654, 1826, 2468, 3827, 4240, 6160, 6772, 8076, 654, 2097, 2833, 4174, 5079, 5210, 6677, 7664, 317, 1756, 2359, 4113, 5075, 5901, 6380, 7764, 617, 1529, 2746, 3515, 5168, 5650, 6485, 7908, 171, 2106, 3139, 3231, 5053, 5892, 6566, 7707, 650, 1490, 2860, 3680, 4586, 5792, 7023, 7563, 160, 1660, 3109, 4168, 5138, 5904, 6706, 7869, 1071, 1503, 2705, 4151, 4543, 6095, 6227, 7676, 763, 1850, 2692, 3559, 4422, 6000, 7087, 7746, 113, 1503, 2532, 3813, 4232, 5410, 7085, 7303, 895, 1503, 2623, 4054, 4343, 5804, 6896, 7819, 1067, 2115, 2691, 3224, 5027, 5523, 6348, 8000, 913, 1469, 2559, 3190, 5039, 6003, 6651, 8046, 110, 2008, 2577, 3595, 4801, 5847, 6920, 7807, 105, 1508, 2839, 3161, 4635, 6094, 6832, 8046, 568, 2060, 2949, 3798, 4764, 5580, 7184, 7437, 901, 1490, 2677, 3855, 4225, 6110, 7109, 7491, 878, 1426, 2432, 3298, 4836, 5968, 6870, 7744, 256, 1623, 3028, 4096, 5130, 6120, 6889, 7880, 789, 2013, 2473, 3803, 4622, 6182, 6515, 7831, 201, 1752, 3000, 3470, 4555, 5436, 6668, 8147, 860, 2017, 2806, 3825, 4704, 6139, 7077, 8196, 488, 2017, 2914, 3893, 4624, 5635, 7226, 8223, 818, 1648, 2914, 3893, 4624, 6139, 7226, 8196, 859, 1752, 2944, 4145, 4912, 5550, 6486, 8227, 488, 1622, 3117, 4018, 4888, 5612, 7239, 7949, 684, 2041, 3008, 4018, 4630, 5635, 7006, 7570, 716, 1935, 3053, 3516, 4592, 5883, 7047, 8107, 104, 1227, 2731, 4082, 5183, 5678, 6776, 7658, 614, 1296, 2422, 3904, 5026, 5500, 6458, 7437, 650, 1809, 2429, 3648, 5096, 6056, 6614, 7900, 1011, 1510, 2797, 3521, 4811, 5802, 7173, 8171, 1005, 2107, 3101, 4056, 4723, 5656, 6889, 7303, 390, 1175, 3026, 4026, 4814, 5470, 6898, 8245, 756, 2024, 2151, 4068, 5079, 5795, 6348, 7918, 228, 1126, 3147, 4122, 5103, 5210, 6291, 7992, 225, 1265, 2826, 3798, 5079, 6097, 6369, 7624, 654, 1345, 2833, 4125, 4782, 5677, 6604, 7865, 518, 1185, 3133, 4047, 4228, 6191, 6486, 7764, 240, 1304, 2554, 3440, 5083, 6110, 6338, 7664, 228, 1961, 2473, 3770, 4638, 5550, 6889, 8080, 518, 1645, 3147, 3827, 4870, 6110, 7160, 7732, 228, 2061, 2469, 4125, 5160, 6110, 7160, 8126, 228, 2061, 3147, 4096, 5120, 6157, 7197, 8266, 256, 1750, 2565, 4153, 4622, 5223, 7201, 7865, 859, 2065, 2565, 4026, 4387, 5608, 6338, 7664, 804, 2065, 2838, 4145, 5104, 5515, 6604, 8126, 776, 2065, 3130, 4113, 5135, 5413, 6874, 7584, 650, 1490, 3150, 3680, 4690, 5778, 7059, 7808, 100, 1423, 2726, 3178, 4203, 6128, 6426, 7725, 815, 1157, 2409, 3575, 4674, 5260, 6860, 8035, 891, 1615, 3088, 3840, 4195, 5548, 6331, 7442, 271, 1205, 2938, 3232, 4447, 5477, 6911, 7855, 970, 1499, 2520, 3488, 4803, 6210, 6615, 8035, 288, 1847, 2924, 4135, 4339, 6007, 6871, 8260, 804, 1992, 3053, 3990, 5038, 6205, 6979, 8080, 308, 2068, 3053, 4018, 5080, 5543, 6752, 7715, 1059, 2030, 2881, 3595, 4439, 5474, 6448, 7586, 901, 1182, 2146, 4098, 4351, 5998, 7068, 7602, 317, 1171, 2587, 3359, 4638, 5678, 7181, 8231, 613, 1340, 2616, 3470, 5142, 5810, 6434, 7718, 1090, 1439, 3026, 4149, 4861, 6220, 6224, 7942, 752, 1137, 2129, 3551, 5073, 5318, 6286, 7555, 776, 1299, 2203, 3475, 5118, 5294, 6737, 7658, 756, 1171, 2562, 3352, 4867, 5727, 7129, 8262, 654, 1806, 3130, 3862, 4717, 5914, 6744, 8034, 225, 1750, 2565, 4111, 4869, 5942, 7202, 8164, 225, 2060, 3062, 4166, 4773, 5844, 7152, 8048, 654, 2013, 2654, 3518, 5091, 5385, 6486, 8236, 654, 1496, 2554, 3681, 4983, 5514, 7151, 7303, 228, 1851, 3040, 3225, 5075, 5935, 6752, 7303, 228, 1528, 3040, 4096, 5135, 6182, 7173, 7831, 228, 1623, 2729, 3394, 4877, 5210, 6671, 7732, 543, 1851, 2554, 3394, 5134, 5438, 7160, 7717, 308, 2097, 3133, 3975, 4551, 5219, 7232, 7865, 211, 1773, 2754, 3756, 5092, 5677, 6996, 7256, 650, 1881, 3135, 3245, 5160, 5719, 7168, 7774, 850, 1676, 2678, 3710, 4530, 5742, 6254, 7582, 424, 1931, 2750, 3256, 4282, 5784, 7246, 7899, 850, 1865, 3061, 3789, 5075, 5474, 6314, 7997, 778, 1141, 2771, 3427, 4946, 5918, 6830, 7438, 1024, 1370, 2944, 3749, 4529, 5884, 6687, 7930, 547, 1865, 2520, 3981, 5181, 6012, 7160, 7770, 970, 1865, 2924, 3661, 4872, 5834, 7010, 7869, 271, 1582, 2543, 3354, 5050, 5810, 6710, 7908, 970, 1485, 2661, 3478, 4203, 5558, 6348, 7895, 776, 1455, 2515, 3152, 4497, 5978, 6393, 7366, 961, 1660, 3033, 3513, 4667, 6080, 6401, 8117, 770, 1919, 2165, 3233, 4429, 5472, 6651, 7491, 371, 1633, 2167, 3271, 4379, 5576, 6663, 7978, 981, 1913, 2667, 3920, 4573, 6145, 7169, 7933, 940, 1477, 3003, 3950, 4573, 5474, 7160, 7270, 938, 1913, 2266, 3894, 4668, 5648, 6265, 8009, 770, 1931, 2355, 3488, 4986, 5678, 6348, 8169, 1081, 1609, 2939, 3575, 4655, 6117, 6880, 8189, 678, 2070, 3032, 3960, 4808, 5800, 7067, 7852, 940, 1146, 2355, 3470, 4337, 5223, 7165, 7876, 504, 1897, 2858, 4150, 4245, 6034, 6361, 7966, 1081, 1747, 2998, 3751, 4966, 5636, 6612, 7664, 678, 1939, 2996, 3928, 4573, 6063, 6766, 7689, 390, 1777, 2356, 3866, 5085, 5562, 7095, 7664, 308, 1847, 3064, 4011, 5080, 6123, 6979, 7720, 956, 1945, 3128, 4108, 4782, 5968, 7111, 7782, 818, 2017, 2947, 3866, 4782, 5241, 7218, 8179, 142, 1528, 2781, 3825, 4704, 5901, 6996, 7485, 488, 1528, 2164, 3825, 4624, 6139, 6794, 7766, 488, 1528, 2164, 3893, 4624, 6081, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1622, 3065, 3893, 4624, 6139, 6752, 8196, 555, 2111, 2833, 3391, 4387, 5586, 7237, 7664, 859, 2106, 2858, 3891, 5079, 5586, 6677, 8076, 555, 1695, 3144, 4171, 4622, 5219, 6604, 8076, 859, 1468, 2775, 4171, 5159, 5963, 7006, 8080, 859, 1695, 2340, 3564, 5060, 5981, 6515, 8076, 555, 1345, 2542, 3595, 5160, 6205, 7100, 8076, 555, 1468, 2839, 4068, 4890, 6081, 6752, 8126, 555, 1468, 2839, 4166, 4681, 5219, 7077, 8126, 4, 2 ]

[ 1, 31, 16, 5, 64, 66, 11, 63, 78, 5, 65, 26, 54, 44, 55, 5, 53, 13, 42, 54, 45, 41, 16, 64, 16, 54, 66, 52, 47, 5, 28, 63, 45, 52, 77, 16, 54, 66, 5, 16, 42, 33, 54, 64, 66, 5, 31, 33, 63, 5, 75, 33, 52, 75, 16, 66, 5, 28, 14, 51, 42, 63, 24, 54, 30, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1622, 2164, 3367, 4624, 6081, 7124, 7766, 818, 1406, 2838, 3893, 5058, 6129, 7239, 8196, 405, 1567, 3098, 3932, 5138, 5840, 6589, 7715, 716, 1887, 2134, 3417, 5031, 5610, 7156, 7856, 660, 1441, 2346, 3920, 4321, 5784, 6282, 7778, 874, 1931, 2561, 3746, 5011, 5778, 6614, 7823, 195, 1556, 2560, 3798, 4673, 5432, 6911, 8045, 654, 1597, 2469, 3844, 4863, 5398, 6872, 7440, 195, 1971, 2880, 4047, 4863, 5608, 6889, 7915, 654, 2106, 2468, 3596, 4859, 5767, 6757, 7721, 654, 2106, 2752, 4168, 4863, 5503, 7087, 7555, 240, 2002, 2654, 4168, 5143, 5218, 6752, 7715, 240, 2111, 2562, 3364, 4877, 5514, 6515, 7524, 789, 1750, 3062, 3803, 5128, 5844, 7103, 7260, 488, 1961, 2806, 3825, 4398, 6186, 7226, 8147, 818, 1622, 2914, 3825, 5138, 5241, 7226, 8147, 419, 2017, 2164, 3825, 5138, 5241, 6996, 8196, 228, 1264, 2988, 3391, 4437, 5719, 6889, 7838, 952, 1570, 2959, 3992, 5167, 5694, 7055, 8080, 761, 1557, 3003, 3323, 5149, 5607, 6651, 7863, 113, 1865, 2559, 3712, 4902, 6176, 6725, 7442, 581, 1757, 3003, 3162, 4661, 5578, 6785, 7469, 278, 1788, 3047, 3265, 4531, 5817, 6685, 7904, 208, 1669, 2674, 3357, 4991, 5934, 6563, 7539, 547, 1681, 2547, 3839, 4338, 5900, 6580, 7740, 192, 1912, 2446, 4130, 4891, 5556, 6542, 7930, 360, 1440, 2363, 3894, 4495, 6024, 6644, 7361, 692, 1854, 2576, 3741, 4409, 5253, 6519, 7605, 508, 1168, 2321, 4088, 4495, 6152, 6484, 7471, 1041, 1660, 2137, 3549, 4475, 5462, 6337, 8112, 100, 1209, 2353, 3181, 4761, 5870, 7094, 7583, 768, 1540, 2876, 3252, 4882, 5636, 6433, 7656, 1067, 1840, 3051, 3733, 4850, 5817, 6308, 8192, 913, 1209, 2777, 3249, 4567, 5627, 6859, 8033, 296, 1512, 2256, 4059, 4665, 6119, 6352, 7360, 913, 2100, 2874, 3438, 4281, 5740, 6874, 8031, 371, 1758, 2974, 3639, 4930, 5590, 6668, 7910, 776, 1758, 3104, 3453, 4318, 5713, 7052, 7584, 91, 1561, 2231, 3161, 4713, 6006, 6852, 7873, 1081, 1738, 2924, 4096, 4215, 5976, 7165, 8083, 1081, 1171, 2946, 4087, 4607, 5981, 6959, 7870, 891, 1507, 2313, 3521, 4191, 5931, 6493, 7570, 1011, 1171, 2865, 3822, 4742, 6117, 6603, 8055, 970, 1494, 2365, 4168, 4592, 5385, 6807, 7311, 610, 1139, 2381, 4133, 4321, 6128, 6702, 7557, 955, 1422, 2469, 3191, 4470, 5610, 6472, 8227, 228, 1966, 3133, 3982, 4321, 5360, 7229, 7697, 228, 1116, 2436, 3844, 4437, 5705, 7069, 7732, 654, 2059, 2359, 4153, 4949, 5218, 7024, 7750, 228, 2060, 2529, 3592, 4859, 6137, 6607, 8164, 240, 1468, 2221, 4006, 4870, 5241, 7160, 7485, 789, 2034, 2959, 3798, 4890, 5514, 6584, 7691, 555, 1756, 2554, 4145, 4890, 5296, 6256, 7477, 201, 2017, 2729, 4071, 4704, 5493, 7124, 7563, 201, 2017, 2806, 3893, 4704, 6139, 7124, 8147, 201, 1528, 2806, 3893, 4704, 6139, 7077, 7766, 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, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 617, 1289, 2833, 4124, 4870, 5844, 7120, 8080, 118, 2013, 2833, 3827, 4214, 5892, 7232, 7865, 118, 1597, 2944, 3550, 4737, 6137, 6443, 7793, 334, 1935, 3147, 3407, 4918, 5296, 6607, 7557, 334, 1564, 3147, 3891, 4852, 6149, 6900, 7588, 334, 1623, 2139, 4005, 4993, 6117, 6224, 8099, 118, 1958, 2860, 3928, 5043, 5956, 6744, 8226, 757, 1286, 2944, 3726, 4638, 5923, 7160, 7707, 859, 2106, 3026, 3994, 4638, 5811, 7152, 7707, 859, 1851, 2783, 3914, 4870, 5832, 6996, 7876, 223, 1981, 2710, 3277, 5024, 6103, 7149, 7542, 249, 1689, 3029, 3505, 4902, 5662, 6838, 8058, 581, 1865, 2221, 3787, 4364, 5696, 7153, 7774, 895, 1567, 2376, 3366, 4559, 5858, 6780, 7869, 179, 1903, 2355, 3714, 4705, 5231, 6870, 7545, 683, 1886, 2390, 3194, 4800, 5776, 6545, 8020, 862, 1769, 2455, 3896, 4970, 5715, 6325, 7946, 668, 1349, 3029, 3695, 4206, 5348, 6509, 8009, 1036, 1552, 2610, 3419, 4678, 5889, 6387, 8189, 862, 1732, 3070, 3993, 4321, 5315, 6426, 7710, 868, 1640, 2483, 4007, 4678, 6096, 6540, 7885, 113, 1118, 2309, 4072, 5198, 6107, 6829, 7381, 761, 2102, 2348, 3309, 4404, 6066, 6414, 8022, 895, 1695, 2222, 3855, 4224, 6074, 7012, 8027, 936, 1640, 3112, 3329, 5043, 5828, 6888, 7888, 884, 1550, 2736, 3329, 4415, 5480, 6710, 7771, 582, 1489, 2261, 3756, 4887, 5884, 6224, 7908, 778, 1706, 2751, 3582, 4632, 5321, 6761, 7660, 104, 2053, 2346, 3259, 4881, 5512, 6754, 7396, 104, 1146, 2436, 3445, 4444, 5555, 7232, 7678, 1025, 1146, 2924, 3660, 4385, 5767, 7164, 7254, 826, 1255, 2552, 3696, 5075, 5474, 7114, 7557, 150, 1238, 2563, 3472, 4536, 6187, 7132, 7720, 887, 2033, 2429, 3909, 4359, 6156, 6871, 7367, 104, 2107, 2429, 3916, 4720, 5663, 7220, 8233, 826, 1141, 2736, 3251, 5000, 5641, 6705, 7395, 408, 1141, 2387, 3997, 5101, 5512, 6612, 7470, 850, 1141, 3145, 4076, 4288, 5784, 6410, 7494, 1077, 1625, 3019, 3245, 4886, 5346, 6448, 7442, 862, 1938, 3010, 3200, 4264, 5594, 7068, 7487, 793, 1938, 3129, 3329, 4306, 5231, 7154, 7513, 930, 1938, 2534, 3421, 4708, 6162, 6441, 7531, 569, 1815, 2974, 4015, 4804, 5866, 6531, 7516, 955, 1876, 2794, 3601, 4444, 5285, 7002, 7920, 308, 1791, 2729, 3945, 4681, 5705, 6588, 8178, 804, 1218, 2754, 3710, 4529, 6123, 6630, 8080, 308, 1747, 3008, 3803, 5058, 5241, 7162, 7570, 779, 1540, 2960, 4071, 5153, 6211, 7047, 7876, 1056, 1485, 3053, 4114, 4589, 5219, 6776, 7876, 211, 2046, 3064, 3361, 5104, 5216, 6980, 7723, 390, 1705, 2895, 4085, 4713, 5630, 7207, 8076, 614, 1141, 2436, 3602, 4536, 6156, 6736, 7838, 650, 2053, 2607, 3246, 4985, 6022, 6535, 7657, 850, 1118, 2429, 3371, 5146, 5333, 6295, 7992, 778, 1800, 2429, 3464, 4321, 5880, 6918, 7437, 536, 1681, 2751, 3789, 4536, 5204, 7051, 7878, 646, 1695, 2415, 3773, 4676, 5771, 6667, 8118, 1080, 1472, 2348, 4110, 4404, 5519, 7151, 8169, 913, 1171, 2149, 4005, 5148, 5860, 6255, 7522, 484, 1992, 2582, 3188, 4630, 6131, 7099, 8185, 899, 2024, 2473, 3361, 5022, 6205, 6607, 8213, 489, 1752, 2317, 3364, 4834, 5918, 6311, 8249, 256, 1853, 2370, 4151, 4443, 6025, 7201, 7673, 878, 1141, 2754, 3885, 4549, 6131, 6607, 7846, 682, 1700, 3026, 3994, 4486, 5694, 6283, 7749, 160, 2013, 3119, 3593, 5061, 5826, 6723, 7870, 876, 1171, 2987, 3485, 4790, 5632, 6470, 8082, 876, 1116, 2987, 3446, 4539, 6104, 6367, 7466, 668, 1676, 2609, 3714, 5188, 5584, 6881, 7395, 980, 1570, 2167, 3534, 5089, 5830, 7218, 8149, 228, 1165, 2629, 4124, 4576, 5276, 6683, 7262, 654, 1597, 2554, 3470, 4580, 5216, 6900, 7641, 654, 1468, 2473, 3827, 4329, 5413, 6607, 7887, 518, 2111, 3133, 3391, 4193, 6129, 7069, 7806, 183, 1851, 2137, 4096, 4870, 5892, 7152, 7477, 105, 1826, 2669, 4071, 4764, 6085, 7132, 8179, 308, 2111, 2718, 4011, 4619, 5661, 6715, 8033, 685, 1424, 2422, 4015, 4849, 5658, 6604, 7671, 784, 1494, 2156, 3425, 5096, 6156, 6872, 7627, 536, 1826, 2149, 3165, 4934, 5810, 7078, 7844, 641, 1463, 2142, 3417, 4344, 5706, 7142, 7809, 831, 1778, 2298, 3593, 4556, 5477, 7239, 7602, 211, 1972, 2462, 3771, 4573, 5784, 7094, 7767, 779, 1992, 2369, 3956, 4641, 5705, 7098, 7918, 1097, 2000, 2803, 3188, 5038, 5901, 6979, 7421, 956, 1945, 3007, 3188, 4366, 5824, 6709, 8195, 186, 2068, 2991, 3866, 4822, 5832, 6515, 7723, 397, 1965, 2817, 3487, 4844, 5332, 7042, 7927, 757, 1503, 2355, 3771, 4611, 6170, 6277, 8227, 216, 1234, 2675, 3917, 4444, 5514, 6564, 7822, 840, 1563, 2798, 3788, 4383, 5638, 7230, 7962, 1040, 1388, 2587, 3417, 4321, 5737, 7072, 7574, 897, 1695, 2327, 4007, 4534, 5886, 6238, 7652, 988, 1808, 2483, 4007, 4358, 5601, 6536, 7549, 850, 1942, 2520, 3300, 5151, 6217, 6769, 7602, 487, 1915, 2805, 3307, 4604, 5665, 6472, 7533, 610, 1397, 2801, 3869, 5125, 5438, 7229, 8257, 779, 1897, 2598, 3188, 5020, 5844, 6871, 7485, 804, 1675, 2895, 3803, 5058, 6085, 6972, 8185, 288, 1146, 2924, 4105, 4980, 6103, 6786, 7766, 804, 1660, 2771, 3231, 4890, 5661, 7239, 7948, 308, 1508, 3135, 3671, 5061, 5661, 6515, 8260, 1056, 1540, 2582, 4071, 5085, 5892, 7084, 8260, 390, 2063, 3064, 4071, 4551, 5968, 6972, 7631, 955, 2079, 3043, 3710, 4980, 5543, 6786, 7992, 211, 1881, 3095, 4018, 5104, 5883, 6972, 7949, 663, 1797, 3095, 3983, 5166, 5216, 6852, 8185, 390, 1919, 3007, 3886, 5166, 6211, 6771, 7723, 952, 1146, 2614, 3487, 5054, 5894, 6994, 7638, 802, 1332, 2855, 3728, 4983, 6068, 7048, 7699, 668, 1736, 2149, 4004, 4521, 5382, 6469, 7424, 862, 1553, 2564, 3817, 4290, 6005, 6767, 8097, 559, 1299, 2480, 4021, 4804, 5512, 7229, 7728, 326, 2066, 2486, 3459, 4507, 5683, 7170, 7674, 1024, 1129, 3029, 3533, 4887, 6114, 6732, 7522, 545, 2107, 2995, 3704, 5110, 5852, 6820, 8263, 938, 1553, 2751, 3370, 4709, 5384, 6888, 7252, 1090, 1918, 2818, 3845, 5165, 6037, 6671, 7535, 427, 1963, 2454, 3188, 4867, 6001, 6740, 8179, 857, 2056, 2915, 4114, 4586, 5298, 6939, 7324, 678, 1782, 2421, 3986, 4688, 6022, 7152, 7254, 582, 1640, 2346, 4094, 4510, 6221, 6603, 7754, 487, 1964, 2751, 3300, 4953, 5390, 6977, 7386, 692, 1942, 2346, 3217, 4971, 6074, 6689, 8132, 862, 1695, 3116, 3159, 5097, 5277, 6399, 7900, 862, 1562, 2751, 3443, 4876, 5503, 6612, 8193, 938, 1319, 3007, 3743, 4334, 5955, 6227, 8160, 938, 1826, 3116, 3794, 4365, 5651, 6470, 8182, 970, 1173, 2429, 3741, 5165, 6222, 6696, 8208, 663, 1302, 2868, 3756, 5073, 5836, 6915, 7476, 970, 1331, 2440, 4150, 4311, 6080, 6302, 7971, 288, 1747, 2658, 3918, 4782, 5616, 7246, 8260, 956, 2000, 2943, 4145, 4980, 6128, 6566, 8267, 617, 1304, 2775, 3681, 4925, 5890, 6900, 7808, 555, 2111, 2970, 3908, 5130, 5923, 7207, 7948, 488, 2068, 3095, 3891, 4980, 6182, 7239, 8076, 201, 2046, 3110, 3982, 4704, 6139, 7084, 8196, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8196, 488, 1648, 2806, 3893, 4624, 6139, 7077, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 915, 1684, 2164, 3914, 4798, 6186, 7120, 8223, 859, 1750, 2833, 3374, 4681, 6081, 7100, 7723, 859, 1695, 2340, 3873, 4549, 6182, 7090, 7732, 552, 1490, 3064, 4166, 4681, 5385, 7152, 7865, 488, 2065, 3117, 3367, 4423, 5586, 6996, 7865, 186, 2111, 3143, 4071, 5157, 6139, 6584, 8196, 488, 1622, 2914, 3893, 5060, 6139, 7077, 7766, 488, 2065, 3117, 4071, 4780, 5219, 6589, 8196, 171, 2065, 2880, 4113, 5060, 5612, 6688, 7732, 899, 1596, 2593, 4125, 4589, 5556, 6909, 7716, 318, 1468, 2455, 4061, 4915, 6135, 6533, 7413, 897, 1650, 2951, 3672, 4285, 5341, 7035, 7765, 897, 1808, 2992, 3245, 4444, 5762, 6692, 8063, 211, 1472, 2975, 3662, 4804, 5472, 6262, 8044, 1056, 1403, 2709, 3961, 4181, 5868, 6377, 7591, 390, 1257, 2379, 3513, 4192, 6189, 7104, 7772, 1056, 1913, 2975, 3955, 5083, 5219, 6830, 8179, 1101, 1198, 2426, 4137, 5085, 5296, 6908, 7913, 150, 1397, 3061, 3304, 4795, 5443, 7002, 8235, 896, 1397, 3029, 3238, 4678, 6045, 7175, 8240, 896, 1570, 3029, 3751, 4439, 5381, 6494, 8240, 462, 1652, 2692, 3469, 4364, 5381, 6234, 7604, 880, 1116, 3019, 3592, 4805, 5313, 6444, 8146, 391, 1322, 2724, 4005, 4814, 6025, 6898, 8041, 1033, 1932, 2480, 3271, 4430, 5413, 7220, 8014, 1090, 1821, 2436, 3304, 4197, 5555, 7098, 7687, 211, 1930, 3006, 3680, 4536, 6131, 6734, 7259, 453, 2107, 2932, 3710, 4179, 5580, 6923, 7868, 228, 1961, 2542, 3879, 4287, 5677, 7168, 8049, 654, 1345, 3059, 4125, 4551, 6061, 7100, 7753, 127, 2078, 2287, 3391, 5167, 6181, 6889, 7602, 240, 1736, 2959, 4143, 4225, 6075, 6607, 7509, 488, 2017, 2473, 3470, 4782, 6081, 6709, 8147, 419, 2078, 3135, 3914, 4549, 5635, 7077, 8185, 105, 1176, 2669, 3516, 4512, 5901, 6612, 8213, 555, 1791, 3065, 3866, 4859, 5635, 7152, 8260, 216, 1995, 2944, 3891, 4205, 5215, 7160, 7563, 769, 1349, 2480, 4162, 4814, 5845, 6348, 7898, 1058, 1286, 2591, 3329, 4982, 5953, 6909, 7496, 664, 1706, 3097, 3403, 5022, 5574, 6224, 7454, 664, 2114, 3074, 3979, 4280, 5706, 6458, 7516, 344, 1554, 3013, 3986, 4443, 6077, 6674, 8038, 994, 2079, 3074, 3765, 4999, 6177, 6676, 7273, 994, 2009, 2693, 3765, 5111, 6088, 6847, 7435, 1067, 2109, 2863, 3398, 4459, 5538, 6396, 7527, 840, 1915, 2751, 3717, 4478, 5643, 6795, 7788, 1033, 1770, 3103, 3200, 4670, 5276, 6573, 7892, 833, 1218, 3145, 3496, 5090, 5565, 6884, 7473, 804, 1660, 2254, 4093, 5106, 5219, 7207, 7879, 308, 2068, 2473, 3370, 4287, 5893, 6515, 7870, 779, 1963, 2925, 4113, 4551, 6131, 7220, 7494, 756, 2125, 2886, 3321, 4611, 5943, 6832, 7563, 886, 2076, 2252, 4114, 4192, 5310, 6281, 7621, 160, 1453, 2560, 3968, 4365, 5303, 7181, 7858, 137, 2055, 2727, 3426, 4321, 5942, 6234, 8015, 964, 1459, 2625, 3991, 5124, 5347, 6808, 8224, 897, 1323, 2751, 3544, 4288, 5902, 7140, 8106, 113, 1968, 2232, 3356, 4881, 5803, 6966, 7611, 247, 2117, 2173, 3399, 4670, 5789, 6614, 7534, 508, 2048, 3040, 4022, 5098, 5918, 6723, 7861, 277, 1596, 2173, 3972, 4539, 5601, 6835, 7788, 895, 1440, 2993, 3431, 5107, 5685, 6426, 7472, 1024, 1547, 2149, 3284, 4506, 5344, 6442, 8022, 424, 1770, 3149, 3967, 4949, 5505, 6791, 8015, 833, 1146, 2783, 3777, 4276, 5865, 7023, 8188, 1056, 1898, 2820, 3899, 4555, 6070, 6876, 7707, 440, 1796, 2302, 3225, 4343, 5461, 6903, 7536, 756, 1452, 2560, 4067, 4536, 5883, 6984, 7816, 952, 1821, 2560, 3904, 4923, 6106, 6924, 7707, 1025, 1624, 3145, 3692, 4226, 5935, 6771, 8081, 123, 1624, 2642, 3928, 4832, 5988, 7219, 7255, 465, 1557, 2151, 4054, 5073, 5908, 6314, 8210, 1057, 1363, 2724, 3316, 4321, 6195, 6947, 7265, 804, 1791, 3021, 4152, 4913, 5836, 6540, 7557, 1097, 1913, 3098, 3516, 5139, 5219, 7084, 8066, 488, 1845, 2932, 3886, 5061, 6081, 6774, 8083, 818, 1998, 3128, 4150, 5080, 5705, 7239, 8076, 935, 2017, 2730, 4068, 4867, 6211, 6988, 8076, 818, 1528, 2914, 4018, 5061, 5661, 6972, 7876, 510, 2017, 2838, 3825, 5080, 6195, 7111, 8076, 1091, 2051, 2863, 3795, 4822, 5687, 6966, 8237, 1033, 2063, 2834, 3307, 5075, 5778, 7237, 8238, 360, 1758, 2997, 3558, 4415, 5840, 6409, 8129, 793, 1352, 3116, 3585, 4897, 5653, 6255, 7962, 809, 1936, 2343, 4005, 4331, 5745, 6324, 7613, 319, 1184, 2261, 3386, 4882, 6207, 6681, 8203, 1062, 2115, 2550, 3904, 4885, 5944, 6254, 7490, 776, 1397, 2577, 4059, 5157, 5598, 7154, 8128, 390, 2063, 2729, 3886, 4861, 5535, 7017, 7770, 1097, 2000, 2754, 3662, 4276, 5658, 6750, 8179, 860, 1945, 3095, 3945, 4888, 5219, 6515, 8209, 186, 1528, 2806, 3803, 4888, 6081, 7201, 7570, 186, 2017, 2914, 3866, 4624, 6186, 6776, 8237, 186, 1528, 2781, 3825, 5038, 6186, 6972, 8195, 818, 1218, 2781, 4174, 5058, 6081, 7226, 7766, 100, 1877, 2886, 3904, 5143, 5654, 7157, 7607, 484, 1147, 3143, 4006, 4890, 6129, 7132, 7792, 132, 1939, 2874, 3540, 4283, 6189, 6515, 7570, 160, 1915, 2833, 4166, 5104, 6025, 6613, 8080, 1067, 1324, 3054, 3525, 4307, 5752, 6830, 7545, 827, 1780, 2327, 3649, 4824, 5888, 7075, 8100, 693, 1369, 2905, 3559, 4556, 5344, 6492, 7995, 668, 1168, 2337, 3605, 5094, 5477, 6386, 7661, 938, 1967, 2369, 3554, 4364, 5435, 7209, 8098, 981, 1463, 2564, 3421, 4389, 6171, 6284, 7318, 1024, 2045, 2866, 3314, 4913, 5879, 6638, 8052, 913, 1408, 2352, 3252, 4386, 5775, 6670, 7287, 913, 1370, 2860, 3812, 4774, 6124, 6857, 7518, 913, 1919, 2790, 3791, 4598, 5540, 6959, 7838, 913, 1407, 2984, 3826, 4809, 5646, 6891, 7726, 1024, 1534, 2349, 4044, 4781, 5884, 7230, 7305, 678, 1209, 2944, 3206, 4605, 5980, 6352, 8259, 678, 1141, 2238, 3427, 4186, 6028, 6360, 7869, 663, 2024, 2946, 3271, 4626, 6000, 6608, 7732, 980, 2068, 2695, 3664, 4912, 5908, 6988, 7421, 678, 1881, 2762, 3516, 4592, 6195, 7019, 7684, 571, 1175, 2766, 3645, 5159, 5210, 6809, 7631, 288, 1363, 2803, 4068, 5038, 5534, 6972, 8267, 405, 1280, 2709, 3516, 4588, 5385, 7152, 8080, 1097, 2111, 2340, 3866, 4681, 6081, 7084, 8066, 818, 2111, 2947, 4071, 5061, 6085, 6988, 8185, 488, 2041, 3065, 3825, 4704, 6211, 7077, 7421, 488, 1528, 2164, 3893, 4624, 6139, 7124, 7949, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3367, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3893, 4870, 6186, 6589, 8196, 142, 1528, 2914, 3893, 4870, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2833, 4071, 4624, 6186, 6996, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3367, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 26, 5, 51, 14, 54, 5, 76, 33, 52, 5, 18, 54, 30, 35, 64, 66, 14, 54, 30, 5, 31, 14, 66, 5, 77, 73, 5, 76, 11, 54, 66, 5, 31, 45, 64, 5, 5, 3, 488, 2111, 2340, 4174, 4512, 5963, 6810, 8083, 142, 2065, 2806, 3893, 4704, 6081, 6688, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7715, 488, 1528, 3117, 3893, 4798, 5241, 7124, 7766, 475, 1851, 3143, 3595, 4888, 5515, 6996, 7563, 485, 1777, 2473, 3779, 4755, 5624, 6498, 8197, 499, 1922, 2521, 3232, 5128, 5298, 6777, 7983, 801, 1997, 2331, 3425, 4612, 5789, 6570, 7727, 145, 1521, 2953, 3227, 4320, 6034, 6532, 8149, 499, 1361, 2865, 3332, 4510, 5365, 7063, 8018, 103, 1458, 2565, 3994, 4800, 5886, 6659, 7263, 984, 1286, 2293, 3206, 4573, 5439, 6343, 7831, 967, 1757, 2925, 3916, 4573, 6123, 7058, 8075, 221, 1935, 2830, 3679, 5031, 6048, 6649, 7607, 274, 1834, 2677, 3394, 4857, 5710, 6876, 7745, 613, 1289, 2957, 3987, 5138, 5840, 6832, 7955, 402, 1112, 2346, 3788, 4497, 6172, 6811, 8181, 1098, 1719, 2355, 3794, 5081, 5257, 7147, 7666, 862, 2090, 2453, 3348, 4734, 5231, 6334, 8050, 223, 2024, 2729, 3731, 4191, 5980, 7162, 7574, 731, 1778, 3137, 3695, 4780, 5980, 7149, 7846, 223, 1778, 2607, 4078, 5138, 5893, 7023, 7336, 731, 1778, 3137, 4103, 5091, 5836, 6980, 7644, 386, 1324, 2998, 4137, 4829, 5469, 6760, 7808, 1033, 1278, 2655, 4078, 4226, 5705, 7106, 7815, 731, 1269, 2780, 3710, 4982, 5457, 6930, 7927, 643, 1759, 2282, 3848, 4501, 5365, 7181, 8227, 1090, 1849, 2381, 3232, 4859, 5824, 6361, 7794, 1090, 1849, 2381, 3762, 4792, 5684, 6750, 7883, 1090, 1897, 2989, 3982, 5153, 5911, 7069, 8261, 887, 1682, 2985, 3989, 4435, 5498, 6771, 7690, 150, 2035, 2800, 3288, 5027, 6147, 6765, 7594, 386, 1298, 3085, 3376, 4543, 5710, 6517, 8218, 1080, 1438, 2137, 4022, 4237, 6221, 7140, 8133, 161, 1531, 3073, 4036, 4236, 5624, 6446, 7959, 1036, 1151, 2310, 3875, 4702, 5870, 6263, 7868, 774, 2011, 2869, 3155, 4678, 5954, 6746, 7504, 774, 1503, 2182, 3304, 4545, 5914, 6573, 7551, 1024, 1394, 2345, 3356, 4592, 5995, 6482, 8112, 1067, 1843, 3040, 4036, 5128, 5783, 6753, 7395, 970, 1679, 2995, 3727, 4580, 5579, 6905, 7480, 970, 1843, 2842, 3592, 4930, 5814, 7247, 7252, 938, 1912, 2345, 3592, 4928, 5510, 6482, 7770, 938, 1740, 2316, 3384, 4441, 5817, 6562, 7709, 655, 2066, 2345, 3587, 4808, 5588, 7118, 7517, 368, 1199, 2629, 3851, 4883, 6059, 6798, 7528, 835, 1183, 2972, 3578, 4483, 5957, 6690, 7792, 774, 1183, 2855, 3332, 4474, 5673, 7021, 7842, 655, 1199, 2353, 3366, 5005, 5598, 7112, 7763, 1030, 1284, 2345, 3840, 5103, 5651, 6453, 7741, 504, 2073, 2940, 3474, 5062, 5608, 7014, 7397, 767, 1972, 2543, 3789, 4842, 6198, 6688, 8066, 731, 1363, 2481, 3918, 4883, 5223, 6859, 7641, 767, 1847, 2515, 3680, 4822, 6001, 6579, 7641, 335, 1120, 2340, 4145, 5138, 5840, 6949, 7260, 767, 1415, 2503, 3870, 4223, 5794, 6313, 7303, 304, 1562, 2946, 3680, 5153, 6147, 6901, 8266, 272, 1637, 2709, 3756, 4764, 6156, 6610, 7312, 1036, 1596, 2188, 3468, 4743, 5223, 6234, 7458, 862, 2067, 2564, 3762, 4467, 5350, 7000, 7442, 1080, 1171, 2995, 4130, 4772, 6135, 6529, 7384, 868, 1884, 2561, 3578, 4399, 6128, 7004, 8102, 518, 1876, 3032, 3588, 5120, 5527, 6962, 7311, 699, 1597, 2595, 3374, 5020, 5918, 6338, 7664, 699, 1758, 3040, 4015, 4186, 5372, 6669, 8069, 654, 1345, 2156, 3955, 4512, 5481, 6757, 7533, 195, 1806, 3133, 3515, 4522, 5795, 7090, 8126, 195, 1326, 3064, 3550, 4717, 6110, 7006, 7948, 240, 1304, 2659, 3574, 4916, 5385, 7232, 8061, 240, 2097, 3133, 4166, 4859, 5792, 7201, 7509, 789, 1756, 2880, 3967, 4622, 5677, 7006, 7717, 419, 2017, 2560, 3967, 4918, 5436, 6889, 8260, 475, 2073, 2838, 3226, 4859, 6211, 7132, 7303, 256, 1961, 2988, 4006, 4437, 6097, 7232, 8093, 874, 1347, 2924, 3951, 4181, 5944, 6814, 7910, 149, 1789, 2549, 3333, 4829, 5404, 6755, 7941, 161, 1778, 2289, 4133, 4367, 5861, 7054, 7483, 737, 1476, 2764, 3765, 4593, 5365, 7223, 7638, 1023, 1241, 2198, 3770, 4676, 5660, 7054, 7697, 640, 1387, 2638, 3434, 4320, 5959, 6334, 8054, 363, 1982, 2562, 3814, 5197, 5535, 7101, 7643, 884, 1981, 3125, 3772, 4964, 5918, 6827, 8113, 868, 1672, 2869, 3220, 4739, 5957, 6847, 8222, 884, 2120, 3125, 3913, 4321, 6046, 6408, 8048, 363, 1997, 2161, 3993, 4689, 6200, 6765, 8201, 1101, 1759, 2844, 3764, 5092, 6119, 6865, 7333, 1029, 1884, 3005, 3723, 4766, 5471, 6680, 8207, 104, 2065, 2461, 3426, 5124, 5575, 7241, 7755, 104, 1773, 2693, 3394, 4282, 5981, 6713, 7728, 1033, 1721, 2678, 3978, 4942, 5204, 6830, 7966, 887, 1227, 3033, 3533, 4470, 5294, 6349, 7941, 887, 1771, 2591, 3973, 4912, 5485, 6820, 7919, 887, 2053, 2750, 3540, 4261, 5286, 7010, 7978, 887, 2053, 2429, 3540, 4872, 5980, 7160, 8126, 887, 1881, 2429, 3231, 4872, 5899, 7119, 7260, 150, 1596, 2727, 3844, 4762, 5953, 7147, 7888, 399, 1789, 3037, 3182, 4534, 5490, 6357, 8230, 737, 1938, 3032, 3700, 4229, 5696, 7021, 7911, 465, 1397, 2455, 3196, 4539, 5611, 6517, 8067, 1056, 2021, 2154, 3929, 4225, 5784, 6889, 7869, 956, 1186, 3098, 3990, 5164, 5650, 7152, 8267, 818, 1620, 2947, 3827, 4912, 5241, 6972, 8237, 510, 1998, 2803, 4018, 5139, 5832, 7168, 7720, 510, 1998, 2858, 3361, 5061, 5241, 7006, 7720, 225, 1452, 2361, 4153, 4996, 5767, 6604, 8179, 225, 1623, 3028, 3851, 4696, 5982, 6900, 8164, 225, 1564, 2432, 3315, 5088, 5581, 6338, 7961, 183, 1248, 2542, 3391, 4638, 5296, 6790, 8066, 183, 1269, 2792, 3857, 5080, 5837, 7091, 7563, 448, 1918, 2585, 4111, 4592, 5504, 6835, 7843, 685, 1806, 2740, 4064, 4682, 5549, 6687, 8144, 318, 1806, 2805, 4006, 4720, 5215, 6966, 7985, 685, 1806, 2316, 3533, 4282, 5658, 6816, 8253, 223, 1779, 2188, 4066, 4855, 5313, 6898, 7498, 1033, 1183, 2436, 3355, 4367, 5962, 7019, 7756, 731, 1943, 2592, 4046, 4755, 5689, 6770, 7624, 223, 1823, 2189, 3326, 4859, 5409, 7069, 7915, 1081, 1900, 2924, 4166, 5079, 6123, 7095, 8224, 940, 1592, 2554, 3917, 4925, 5993, 6256, 7807, 678, 1227, 2586, 4097, 4235, 6113, 7237, 7876, 1081, 1721, 2554, 3540, 4558, 5661, 6515, 7768, 401, 1998, 2291, 3885, 5061, 5216, 6515, 7908, 401, 1998, 2291, 3188, 4447, 6063, 6515, 7458, 1081, 1672, 2965, 3420, 4925, 6058, 6646, 7865, 1067, 1217, 2486, 3909, 5083, 5590, 7192, 8251, 888, 1897, 2189, 3880, 5199, 6171, 7047, 7248, 249, 1469, 2189, 3610, 5015, 5745, 6782, 7831, 113, 1900, 2842, 3212, 4809, 5480, 6659, 8088, 993, 1880, 2517, 3736, 5199, 5441, 6957, 7770, 492, 1619, 3034, 3967, 4678, 5675, 7115, 7674, 936, 1524, 2209, 3556, 4819, 6066, 6631, 7634, 536, 1880, 2643, 3760, 4543, 6158, 6267, 8092, 840, 1880, 3078, 3325, 4891, 6002, 7236, 7930, 150, 1388, 2476, 3790, 4659, 5418, 7209, 8262, 424, 2036, 2901, 3418, 4346, 6123, 6289, 7815, 1090, 1773, 2944, 3771, 5141, 5561, 6899, 7838, 610, 1238, 2944, 3961, 4782, 6051, 7168, 7764, 1090, 1770, 2348, 4145, 5159, 5981, 6852, 7908, 288, 1587, 3053, 3188, 4551, 6085, 7207, 8076, 308, 1620, 2880, 3188, 4551, 6025, 7162, 8179, 956, 1218, 3128, 3886, 4551, 5241, 7084, 7806, 915, 2041, 2838, 4174, 5061, 6205, 7077, 8179, 1099, 1620, 3008, 4071, 5104, 6211, 6996, 7876, 1099, 2000, 2781, 3710, 5080, 6103, 6786, 7949, 475, 2078, 2391, 3803, 4912, 6211, 7010, 7764, 453, 1675, 3053, 3879, 5159, 5745, 6668, 8185, 390, 1768, 3043, 3819, 4895, 5935, 7129, 8076, 1057, 1206, 3079, 3973, 4259, 6123, 7241, 7397, 881, 1832, 2401, 3960, 4321, 5988, 7117, 7823, 902, 1283, 2341, 3755, 4308, 5512, 6687, 7304, 996, 1942, 3129, 3922, 4709, 6203, 6852, 7827, 620, 1510, 2855, 3931, 5069, 5270, 6909, 7795, 981, 1732, 2692, 3525, 4949, 6007, 6267, 7842, 678, 1570, 2547, 3394, 4935, 5276, 7037, 8107, 643, 1570, 2725, 3544, 4775, 5782, 6476, 7971, 1051, 2067, 2980, 3973, 4371, 5547, 6740, 7602, 288, 1992, 2327, 3391, 5084, 5704, 6614, 8261, 684, 1218, 3095, 3832, 4646, 5884, 6716, 7753, 789, 2046, 2560, 3671, 4870, 5515, 6338, 8179, 419, 1684, 3021, 3188, 4555, 5678, 7091, 8261, 183, 1570, 3052, 3359, 5190, 5935, 7069, 7477, 225, 1286, 2356, 3277, 5079, 6041, 7152, 8266, 240, 2002, 2137, 3851, 4877, 5385, 6515, 7749, 654, 1468, 2554, 4153, 5159, 5767, 7203, 7476, 228, 1201, 2565, 3844, 4387, 6170, 7058, 7631, 518, 1971, 2359, 3862, 4193, 5234, 7090, 7279, 228, 2111, 2565, 4153, 5135, 5935, 7237, 7811, 240, 1971, 2359, 3873, 4413, 5218, 6515, 7732, 240, 1756, 2833, 4006, 5079, 6097, 6486, 7476, 228, 1529, 2872, 4125, 5088, 5582, 7154, 8132, 228, 1648, 2359, 3873, 5159, 5385, 7160, 7477, 240, 1488, 2554, 3550, 4870, 5515, 6724, 7965, 543, 2002, 2137, 4003, 4398, 5536, 6291, 8080, 543, 1550, 2469, 3586, 4344, 5942, 6256, 7715, 419, 1961, 3065, 3391, 4583, 5514, 6752, 8237, 543, 1147, 2359, 4145, 5135, 5981, 6752, 7707, 555, 2111, 2565, 3470, 4387, 5963, 7152, 7930, 488, 2111, 3117, 4071, 4890, 5514, 6338, 8080, 488, 2017, 2806, 3893, 4624, 6139, 7124, 7865, 488, 2017, 2806, 3893, 4624, 6139, 7226, 8147, 488, 1622, 2806, 3893, 4624, 6139, 7124, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 4, 2 ]

[ 1, 43, 14, 30, 5, 66, 36, 54, 30, 5, 63, 23, 54, 30, 5, 16, 54, 30, 5, 76, 11, 78, 5, 64, 66, 45, 51, 44, 55, 5, 63, 26, 66, 5, 23, 66, 5, 5, 3, 797, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 488, 2017, 2164, 3893, 4624, 6081, 7226, 7766, 488, 2017, 3065, 3825, 4624, 5705, 7239, 8196, 488, 1648, 2914, 3893, 4624, 6139, 7226, 8196, 1015, 2032, 2487, 3856, 4611, 5550, 7120, 7591, 272, 1434, 2669, 4105, 4529, 5581, 7073, 8012, 346, 1286, 2309, 4074, 5081, 5693, 6472, 7473, 1050, 1778, 2380, 3757, 4421, 5508, 6651, 7997, 739, 2102, 2225, 3814, 4229, 5752, 6908, 7828, 632, 1388, 2581, 3995, 4271, 5668, 6885, 7817, 1102, 1777, 2951, 3535, 5120, 5269, 7151, 7429, 1099, 1324, 2326, 3917, 4690, 6051, 6604, 7846, 1099, 1175, 3110, 3955, 4215, 6175, 6515, 7949, 186, 1623, 3032, 4011, 5058, 6063, 7207, 8260, 555, 1992, 2925, 3982, 5058, 5767, 7218, 7717, 984, 2068, 2833, 3226, 4980, 5687, 7207, 7557, 617, 2068, 3147, 4026, 5061, 6137, 7132, 7563, 411, 1706, 2976, 3158, 4310, 5519, 7223, 8259, 568, 1695, 3141, 4093, 5142, 5296, 6909, 8267, 1102, 1807, 2656, 4010, 5183, 5797, 6909, 8118, 685, 2034, 2436, 3196, 4982, 5472, 6913, 8132, 805, 1510, 2633, 4076, 4420, 5856, 6965, 7627, 404, 1368, 2552, 3720, 4766, 6138, 6731, 7549, 404, 1689, 2503, 4146, 4502, 5492, 6697, 8035, 293, 1879, 2794, 3194, 4421, 5532, 6915, 7429, 480, 1537, 2607, 3583, 5031, 5298, 6439, 7849, 480, 2059, 2170, 4106, 4464, 5844, 6622, 7852, 1098, 1655, 2989, 3690, 4916, 5423, 6466, 8132, 1098, 1557, 2346, 3249, 4660, 6169, 6769, 7482, 1098, 1557, 2603, 3572, 5031, 5781, 6601, 7961, 1098, 1806, 2410, 3799, 4544, 5944, 6813, 7415, 1098, 1424, 2663, 3572, 4644, 5437, 6954, 7980, 149, 1424, 2315, 3926, 4851, 5643, 6884, 7920, 391, 1776, 2775, 3231, 4214, 6156, 7163, 8205, 138, 1770, 2165, 3370, 5084, 6070, 6516, 7831, 318, 1463, 2520, 3492, 4598, 5548, 7058, 7791, 262, 1315, 2130, 3496, 5183, 5620, 7012, 7703, 970, 1234, 2424, 3156, 5106, 5802, 6734, 7583, 1081, 1332, 2940, 3844, 4803, 5928, 6825, 8132, 160, 1833, 2912, 4086, 4857, 5381, 6732, 7690, 678, 1407, 3144, 4095, 5125, 6223, 7217, 8177, 776, 2048, 2747, 3249, 4538, 5654, 7041, 7767, 1029, 2088, 2878, 3783, 4588, 6087, 6907, 7445, 150, 1509, 2793, 3277, 4301, 5369, 7075, 7309, 386, 1324, 2509, 3826, 4363, 5272, 6463, 7968, 339, 1566, 2265, 3975, 5068, 5539, 6276, 7551, 339, 2059, 2937, 4090, 4517, 5408, 6933, 7827, 730, 2059, 2408, 4008, 4688, 6135, 6461, 7803, 179, 1740, 2732, 3612, 4800, 5454, 6983, 7397, 179, 2050, 2727, 3729, 4951, 5867, 6765, 8200, 1070, 1630, 3040, 3421, 4410, 5900, 6295, 7519, 360, 1129, 2308, 3284, 4330, 6135, 6873, 8226, 910, 1720, 3040, 3962, 4539, 5902, 6692, 7472, 242, 1990, 2612, 3356, 4683, 5954, 6370, 7938, 302, 1183, 2348, 3357, 4799, 5887, 6510, 7478, 1101, 1183, 2141, 3936, 4731, 5925, 6886, 7982, 873, 1183, 2435, 3652, 4990, 6190, 6903, 7442, 242, 1212, 2274, 3524, 4689, 5453, 6703, 7904, 993, 1183, 3011, 4167, 4328, 6089, 6658, 7583, 1029, 1183, 3034, 4063, 4581, 5316, 6269, 7451, 1029, 1183, 2670, 3214, 4451, 5695, 6594, 8255, 536, 1318, 2680, 3283, 4543, 6098, 6494, 7973, 150, 1672, 2847, 3299, 4609, 5835, 7100, 7583, 1029, 1660, 2534, 4103, 4195, 6026, 6229, 7821, 386, 1407, 3112, 4055, 4764, 5785, 6516, 7684, 1029, 1562, 2446, 3540, 4533, 5245, 6630, 8210, 150, 1326, 2727, 3679, 4396, 5844, 6696, 7768, 643, 1717, 2393, 3649, 4890, 6096, 6229, 7959, 970, 1688, 3092, 4082, 4777, 6214, 6584, 7457, 970, 1331, 3092, 3488, 4861, 5694, 6579, 7876, 970, 1446, 2868, 3909, 5161, 6131, 6579, 7706, 970, 1982, 2868, 3886, 4748, 5300, 6592, 8066, 938, 2090, 2868, 3981, 4861, 6146, 6702, 8099, 1011, 1682, 3101, 3877, 4981, 6001, 7058, 8209, 401, 1678, 2925, 3822, 5169, 5950, 7239, 8034, 304, 1777, 3007, 3932, 4912, 6182, 7004, 8066, 970, 1523, 2709, 3521, 4215, 5963, 7114, 8179, 1036, 1252, 2759, 3843, 4298, 6179, 6605, 7574, 728, 1346, 2831, 4057, 4274, 5653, 6805, 8069, 774, 1356, 2986, 3511, 5188, 5490, 7200, 7559, 1041, 1688, 2361, 4066, 4570, 5428, 6477, 8050, 371, 1363, 3032, 4133, 4937, 5606, 6721, 7502, 804, 1794, 3108, 4085, 4533, 5752, 6954, 8083, 804, 1916, 3095, 4097, 4704, 6211, 6771, 7965, 186, 1992, 2633, 3918, 5129, 5883, 7010, 8260, 186, 1847, 2960, 3206, 4912, 6051, 6774, 7720, 935, 2017, 3007, 3891, 4624, 6129, 7084, 8223, 555, 1684, 2554, 3188, 5157, 6025, 7132, 8066, 475, 2078, 2833, 3914, 5104, 5515, 6604, 8126, 555, 2002, 3021, 3827, 5060, 5963, 6677, 7971, 555, 2032, 2554, 3827, 4549, 5811, 6988, 8126, 555, 1684, 2781, 3891, 5060, 5241, 7006, 8076, 555, 2111, 2781, 3825, 5060, 5241, 7098, 8195, 915, 2017, 2781, 3891, 4387, 6186, 7077, 8076, 142, 1528, 2806, 3825, 4624, 6081, 7124, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 186, 1528, 2914, 4068, 4366, 6139, 6972, 8223, 940, 1304, 2833, 3690, 5083, 5436, 6630, 7531, 441, 1823, 2353, 4015, 5057, 5228, 6637, 7972, 632, 1938, 3088, 4037, 4819, 5483, 6858, 7873, 314, 2047, 2585, 4015, 4776, 6136, 6533, 8173, 304, 1678, 2750, 3201, 4796, 6147, 7181, 8107, 1033, 1278, 2710, 3961, 4226, 5899, 7222, 7887, 970, 1331, 2515, 3826, 4282, 5784, 6579, 7256, 767, 1419, 2946, 3916, 5050, 5929, 6709, 7717, 335, 1770, 3007, 3488, 4622, 5960, 6972, 7485, 391, 1415, 2520, 4145, 4376, 5960, 6710, 7957, 304, 1566, 2383, 4151, 4541, 5506, 6979, 8185, 840, 1199, 2698, 3427, 4764, 5847, 6271, 7965, 668, 1199, 2836, 3680, 4823, 6087, 6362, 7529, 668, 1509, 2841, 3666, 4666, 5783, 6535, 7259, 715, 1946, 2310, 3446, 4948, 6144, 6991, 8099, 568, 1577, 2183, 3588, 4532, 5204, 6614, 7936, 334, 1801, 2886, 3962, 4664, 5367, 6986, 8146, 225, 2002, 2626, 3873, 4737, 5625, 6613, 7279, 654, 2002, 2659, 3359, 5088, 5792, 6864, 8031, 654, 2061, 3006, 3374, 4214, 5719, 6909, 7664, 654, 1750, 2181, 4083, 4890, 6097, 6579, 8080, 240, 1814, 2287, 4113, 4870, 5811, 6515, 7715, 240, 1750, 2659, 3933, 4350, 6103, 6810, 7660, 240, 2078, 2729, 3866, 5138, 5493, 7103, 7949, 543, 1851, 3139, 3407, 4512, 5624, 6607, 8185, 240, 2078, 2560, 4125, 4638, 5438, 7111, 8179, 195, 1623, 3004, 3851, 4863, 6175, 6486, 8080, 225, 1752, 3060, 3341, 4681, 6046, 7112, 7873, 850, 1753, 2858, 3931, 4522, 5937, 6966, 8006, 480, 1518, 3017, 3352, 5197, 5521, 7187, 8129, 902, 1133, 2992, 3563, 4935, 5364, 7157, 7696, 356, 1637, 2163, 3470, 4424, 5603, 6354, 7796, 914, 1755, 3150, 3516, 5122, 5892, 6529, 7660, 935, 1620, 2730, 4174, 5159, 5216, 7207, 7720, 757, 1910, 2987, 3704, 4556, 5966, 6348, 7855, 105, 1218, 2946, 4125, 4555, 5534, 6900, 7976, 183, 1849, 2515, 3487, 4304, 5656, 7058, 7421, 512, 1906, 2946, 3231, 4877, 5364, 6437, 8266, 937, 1706, 3139, 3709, 4472, 5664, 6800, 7369, 722, 1205, 2263, 3588, 4329, 5615, 6800, 7935, 392, 1621, 2585, 3888, 5088, 5934, 6433, 8173, 335, 1231, 2579, 4168, 5120, 5979, 6306, 7852, 731, 1972, 2579, 3981, 4379, 5983, 6648, 8170, 767, 1618, 2937, 3756, 5073, 5260, 7148, 7772, 223, 1664, 2855, 3410, 4191, 5903, 7160, 7664, 685, 1757, 2925, 3307, 4181, 5523, 7207, 7303, 223, 1414, 2655, 3878, 4665, 5687, 6671, 8096, 386, 1227, 2462, 3928, 5153, 6033, 7207, 7547, 271, 1562, 2860, 3410, 4891, 5245, 6830, 8144, 150, 2033, 2200, 3410, 4994, 5892, 7157, 7776, 150, 2035, 3101, 3325, 4950, 5966, 6953, 7949, 887, 2035, 2154, 3388, 4533, 6073, 6588, 7810, 1090, 1660, 3032, 3940, 4856, 5345, 6935, 8179, 1057, 1499, 2291, 4151, 4501, 5946, 6408, 7786, 887, 1711, 2792, 3776, 4537, 6075, 6351, 8266, 840, 1449, 2968, 3791, 4665, 5796, 6384, 7284, 472, 1630, 2592, 3631, 4658, 5881, 6583, 7896, 508, 1818, 2240, 4000, 4499, 5249, 6762, 8165, 918, 1904, 3047, 3587, 4992, 5287, 6835, 7853, 1101, 1719, 2679, 3880, 4775, 5858, 6741, 7839, 840, 2118, 2422, 3856, 5198, 5369, 6945, 7349, 611, 2099, 2271, 3602, 4970, 5422, 6900, 8036, 1080, 1112, 2831, 3586, 4729, 5767, 6607, 7409, 653, 1640, 2899, 4132, 4412, 5644, 6772, 7376, 545, 2102, 2309, 3495, 4443, 6101, 6455, 8073, 582, 1600, 2380, 3155, 5040, 5257, 6715, 7643, 571, 1564, 2377, 3885, 4191, 5365, 6677, 7947, 1102, 2102, 3007, 3827, 4191, 6137, 6612, 8252, 862, 1896, 2796, 3761, 4701, 5944, 7229, 7804, 900, 1140, 3140, 3316, 4814, 5227, 7007, 7971, 249, 1976, 2294, 3552, 4809, 5935, 7183, 8171, 296, 1592, 2691, 3368, 4419, 5417, 6955, 7416, 428, 2061, 2522, 3642, 4422, 6059, 6483, 8084, 302, 1183, 2371, 4007, 4697, 5944, 6580, 7629, 536, 1183, 2784, 3791, 4963, 6201, 6550, 7398, 320, 1183, 2389, 3779, 4709, 5322, 6781, 7525, 655, 1183, 2727, 4063, 4873, 5512, 7199, 7467, 840, 1183, 2376, 3187, 4557, 5471, 6550, 7521, 840, 1151, 2894, 3988, 4990, 5772, 6900, 7894, 840, 1408, 2321, 4014, 4706, 5448, 7231, 7940, 1016, 1818, 2737, 3767, 5158, 5953, 6234, 7988, 386, 1858, 3001, 4099, 4239, 5439, 7028, 7480, 1081, 1141, 2543, 4150, 4435, 6156, 6350, 8252, 1099, 1386, 2746, 3827, 4633, 5694, 6239, 7576, 153, 1320, 3144, 3361, 4828, 5844, 6540, 7624, 757, 1806, 2959, 3795, 4918, 5678, 7222, 7743, 105, 2111, 2469, 3391, 4918, 5490, 6752, 8132, 552, 1826, 3046, 3886, 4780, 5963, 6256, 7476, 201, 2111, 2806, 3803, 4912, 6182, 7239, 8179, 488, 1998, 2806, 3803, 5080, 6211, 7124, 7723, 488, 2017, 2914, 4071, 4624, 6139, 7239, 8196, 488, 1528, 2806, 3893, 4624, 6139, 7239, 8196, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 818, 2017, 2164, 3893, 4624, 6186, 7239, 8223, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6186, 6794, 8223, 488, 1648, 2914, 3893, 4870, 6139, 7077, 8237, 488, 1622, 2164, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2111, 3065, 3893, 4798, 5635, 7098, 8223, 915, 1684, 2164, 3891, 4704, 5534, 7077, 8196, 488, 1528, 2164, 3893, 4624, 6081, 7124, 7766, 915, 2017, 2833, 3825, 4624, 6186, 6996, 8196, 915, 2111, 2164, 3825, 4798, 5635, 6794, 8196, 4, 2 ]

[ 1, 44, 54, 5, 30, 34, 64, 62, 35, 39, 65, 16, 54, 5, 14, 66, 5, 31, 16, 5, 66, 63, 48, 66, 53, 16, 54, 66, 5, 31, 39, 5, 63, 16, 64, 48, 75, 30, 5, 5, 3, 945, 1528, 2806, 3825, 4704, 6211, 6709, 8147, 488, 2017, 3117, 3886, 4624, 5612, 6972, 8179, 915, 1528, 2970, 4170, 5080, 5832, 7239, 7949, 756, 1668, 2980, 3323, 5138, 5565, 6528, 7381, 582, 1164, 2346, 3569, 5020, 6034, 6539, 7610, 1074, 1289, 2874, 3581, 4953, 5734, 6603, 7889, 234, 1186, 2355, 3596, 4459, 5684, 6693, 7590, 862, 1519, 2138, 3358, 4881, 6114, 6265, 8235, 981, 1397, 2990, 3869, 5142, 5221, 6790, 7922, 850, 1676, 2678, 3801, 4813, 5800, 6884, 8241, 778, 1227, 2678, 3246, 4939, 5930, 6840, 7538, 663, 1399, 2515, 3955, 4981, 5474, 7019, 7750, 288, 1998, 2369, 3870, 4228, 5963, 7108, 7676, 512, 2000, 2944, 3789, 4343, 6120, 6566, 7949, 804, 1998, 2167, 3932, 4179, 5438, 7207, 7949, 308, 1791, 2925, 3932, 4822, 5641, 7220, 7631, 715, 2097, 2709, 3982, 4691, 5548, 6540, 7954, 326, 1695, 2886, 3498, 5144, 5597, 6540, 7627, 620, 1397, 2455, 3869, 5144, 5734, 6822, 7824, 766, 1695, 3106, 4092, 5072, 5745, 6885, 8117, 730, 1347, 2751, 3644, 4205, 5544, 6298, 7598, 880, 1938, 2720, 3877, 4457, 5341, 6486, 7710, 881, 1828, 2563, 3261, 4461, 5746, 7043, 7648, 572, 1320, 2951, 4094, 4201, 5449, 6736, 7875, 543, 2041, 2988, 3880, 5151, 5580, 6726, 8266, 225, 2060, 2654, 3516, 5007, 5811, 6668, 7811, 654, 1826, 2858, 4113, 4681, 5296, 6740, 7643, 654, 1826, 2858, 3754, 4855, 5901, 7129, 7893, 518, 1756, 2506, 3645, 4267, 5515, 6607, 7831, 356, 2068, 2614, 3857, 4939, 6009, 6986, 8040, 201, 1961, 2754, 4114, 4912, 5514, 7239, 7485, 818, 1961, 3117, 3982, 5166, 5241, 6671, 7563, 915, 2017, 2914, 3595, 5104, 5241, 7077, 7766, 419, 2017, 2164, 3595, 4398, 5241, 7201, 7766, 475, 1998, 3064, 3645, 4622, 5963, 6996, 8237, 555, 1467, 2806, 4071, 5104, 5534, 6604, 8223, 211, 1981, 2542, 3914, 5009, 6129, 7010, 8179, 113, 1688, 2790, 3764, 4815, 5543, 6758, 7516, 1029, 1399, 2878, 3970, 5009, 5387, 6770, 7644, 993, 1972, 2332, 4070, 4651, 5889, 7221, 8235, 150, 1415, 2424, 3566, 5085, 6142, 6842, 8041, 850, 1972, 2381, 3702, 4982, 6122, 7169, 7458, 424, 1545, 2625, 3649, 4911, 5829, 6690, 7474, 641, 1821, 2695, 3233, 5069, 6147, 6908, 7765, 938, 1171, 2332, 3963, 4337, 5632, 7118, 7386, 665, 1139, 2332, 4008, 4879, 5266, 7114, 7441, 1040, 1576, 2871, 3669, 4392, 5976, 6401, 8069, 1042, 2025, 2544, 3832, 4795, 5532, 6631, 8009, 880, 1806, 3003, 3943, 5026, 5344, 6828, 7880, 487, 1561, 2470, 4092, 5151, 5557, 6720, 7473, 807, 1935, 2797, 3355, 4755, 5810, 6883, 7906, 103, 1350, 3053, 3785, 4995, 6154, 6648, 7256, 1056, 1876, 2480, 3876, 5001, 5911, 6550, 8099, 617, 1623, 2924, 4085, 4881, 5610, 7224, 8128, 183, 1510, 2432, 4171, 4549, 5811, 6443, 7563, 757, 1570, 2468, 3513, 4387, 6062, 6614, 7396, 757, 1133, 3114, 3298, 4555, 5549, 6371, 8061, 568, 1623, 2560, 3798, 5104, 5400, 6908, 7559, 757, 2034, 2957, 3364, 4790, 5514, 7160, 7458, 757, 2127, 3135, 3994, 5079, 5586, 7167, 7664, 356, 1623, 2175, 4166, 4583, 5677, 6752, 7476, 419, 1623, 2754, 4068, 5138, 5968, 6988, 7838, 304, 1755, 2944, 3982, 5058, 6182, 7239, 7732, 650, 1602, 3089, 4055, 4912, 6123, 6240, 7976, 826, 1255, 2241, 3977, 4861, 5700, 7207, 8083, 150, 1238, 2312, 3472, 5194, 6022, 7162, 8093, 536, 1244, 2455, 3728, 4440, 6147, 6876, 7878, 363, 1496, 2484, 3714, 4760, 5249, 7071, 8253, 827, 2107, 2132, 3474, 4645, 6070, 6635, 7556, 293, 2079, 2748, 3492, 4459, 5227, 6430, 8189, 91, 2094, 2534, 3595, 4738, 5589, 6536, 8034, 984, 1767, 2455, 3480, 4212, 6211, 6410, 8189, 818, 2000, 2803, 4068, 4398, 6129, 7239, 7311, 186, 1218, 3008, 4174, 4622, 5219, 7239, 8107, 288, 1750, 3008, 3891, 4447, 6175, 6786, 7658, 935, 1930, 3064, 3516, 5166, 5385, 6850, 8083, 541, 1562, 2866, 3680, 4727, 5276, 6968, 7838, 403, 1280, 3043, 3188, 5129, 5892, 6953, 7975, 728, 1935, 2990, 3788, 4927, 5944, 7217, 7516, 786, 1826, 2789, 3167, 4320, 5400, 6998, 7726, 356, 1369, 2527, 3922, 4225, 5474, 6484, 8227, 1099, 1932, 2167, 3803, 5145, 6063, 7152, 7887, 142, 2017, 2957, 4108, 4782, 6195, 7201, 8147, 818, 2068, 3110, 3188, 5058, 6211, 7120, 8185, 935, 2017, 3095, 3645, 5038, 6195, 6996, 8185, 935, 2017, 2996, 3891, 4215, 5635, 7218, 8260, 153, 1736, 2818, 3298, 5053, 6120, 6988, 8084, 452, 1736, 2880, 4089, 5138, 5568, 6755, 7583, 421, 1346, 2880, 3976, 4493, 6078, 7098, 8188, 568, 1758, 3139, 4006, 5083, 5678, 7090, 7908, 617, 2073, 2791, 3822, 4982, 5899, 7153, 8262, 833, 2085, 3026, 4145, 5127, 5911, 6719, 7437, 716, 1816, 2629, 3162, 4762, 5512, 6437, 7537, 998, 1283, 2751, 3915, 4312, 5344, 7002, 8263, 536, 1808, 2448, 3560, 4678, 5565, 6579, 8129, 807, 1773, 2661, 3416, 4525, 5512, 6840, 7887, 104, 1550, 2156, 3167, 4273, 6002, 7030, 7707, 513, 1942, 2436, 3962, 4609, 5942, 6608, 7917, 356, 1238, 2503, 3392, 5145, 6130, 6589, 7547, 956, 1620, 2957, 3990, 4398, 5963, 6668, 8132, 967, 2106, 2729, 3994, 4536, 5613, 6980, 8185, 935, 1998, 2946, 4166, 4287, 5438, 6604, 8267, 510, 1851, 2991, 4011, 4622, 6146, 7201, 7716, 859, 1998, 2740, 3932, 4583, 6117, 7201, 7716, 859, 2073, 3135, 3540, 4918, 6129, 6988, 8083, 401, 1675, 3135, 3886, 5115, 6205, 6979, 7485, 884, 1892, 2429, 3616, 4443, 5927, 6543, 8041, 363, 1171, 2693, 3623, 4665, 5367, 7007, 8116, 443, 1826, 2358, 4146, 4911, 6104, 7049, 7821, 826, 1826, 2254, 3472, 4473, 5865, 6803, 8150, 610, 1966, 2868, 3169, 4402, 5576, 7149, 7973, 610, 1773, 2258, 3771, 4374, 5953, 7244, 8078, 288, 2048, 2868, 4085, 4622, 5289, 6988, 7876, 914, 1963, 2991, 3710, 5129, 5612, 7207, 7876, 1097, 2065, 3043, 4145, 5080, 6129, 6515, 8080, 356, 1924, 2709, 3226, 4215, 5825, 6235, 7797, 500, 1851, 2959, 3776, 4447, 6149, 7192, 7549, 942, 1557, 2895, 3562, 4292, 6124, 7079, 7904, 443, 2118, 2881, 3968, 4321, 5787, 6532, 7541, 1040, 1832, 3091, 3884, 4321, 6065, 6884, 7889, 902, 1806, 2464, 3865, 4804, 5532, 7051, 7976, 807, 1146, 2254, 3248, 5097, 5740, 7087, 7336, 487, 1863, 3029, 3801, 4983, 6146, 6888, 7973, 465, 1397, 2527, 4103, 4483, 5810, 6478, 7397, 895, 1758, 2642, 3669, 4945, 6066, 7246, 8248, 1005, 1350, 2905, 4154, 4834, 6132, 7232, 8117, 826, 1141, 2129, 4154, 4461, 5829, 6348, 8269, 778, 1333, 2905, 3273, 4800, 5964, 6550, 8221, 299, 1141, 2905, 3676, 4763, 5965, 7157, 7533, 299, 1758, 2905, 3434, 4389, 6050, 7030, 7864, 443, 1496, 2564, 3943, 5050, 5255, 6286, 7299, 443, 1915, 2775, 3434, 4598, 5291, 6638, 7817, 1057, 1732, 2506, 3329, 4845, 6147, 6563, 7785, 1025, 1695, 2688, 3513, 4562, 6220, 6224, 8248, 715, 1791, 2129, 3931, 4606, 5836, 6646, 7429, 225, 1750, 2665, 3649, 4539, 5301, 7001, 7776, 225, 1924, 3141, 3517, 4344, 5761, 6607, 8132, 654, 2061, 2341, 3374, 4644, 6129, 7165, 8267, 654, 1597, 2221, 3692, 4201, 5534, 7095, 8016, 240, 2127, 3144, 3595, 4870, 5811, 7024, 8179, 654, 1286, 3147, 3851, 4423, 6110, 7035, 7256, 228, 2127, 2316, 4125, 4836, 5530, 6809, 7291, 518, 1756, 2858, 4068, 4859, 6086, 7152, 7929, 256, 2052, 3133, 3967, 4622, 5962, 6988, 7557, 543, 1684, 2659, 3374, 4351, 5223, 7120, 7557, 731, 1820, 2898, 3595, 4720, 5457, 6612, 7948, 582, 2009, 2415, 3929, 4795, 6123, 7086, 7524, 399, 1708, 2693, 3276, 4755, 6035, 6976, 8117, 582, 1553, 2492, 3329, 4402, 5643, 7059, 7899, 986, 2053, 2751, 3356, 5001, 5591, 6903, 7256, 545, 1850, 2751, 3356, 5180, 5407, 6491, 7724, 487, 2061, 2474, 3603, 4627, 6107, 6702, 7973, 545, 1700, 3116, 3464, 4651, 5898, 6894, 8092, 582, 1489, 3091, 3421, 4935, 5914, 6840, 8097, 807, 1919, 3091, 3850, 4288, 5454, 6724, 7856, 986, 1581, 3029, 4103, 4351, 5836, 6480, 7262, 582, 1550, 2336, 3943, 4351, 5970, 6705, 7321, 335, 1942, 3091, 3159, 4621, 5500, 6992, 7476, 986, 1568, 3091, 3305, 4918, 5637, 6663, 7633, 103, 1489, 3061, 3421, 4218, 5793, 7232, 7749, 103, 1978, 2155, 3832, 4832, 6154, 6623, 7973, 1084, 1164, 2659, 3613, 4604, 6119, 6899, 7773, 391, 2002, 2912, 3224, 5124, 5514, 6550, 7941, 1047, 1275, 2564, 4094, 4881, 5386, 7003, 7677, 1056, 1930, 2803, 3982, 4374, 5610, 6709, 7677, 663, 2068, 2163, 3671, 4890, 5661, 6734, 7715, 1056, 1508, 2473, 3975, 5169, 5210, 6589, 7948, 510, 1791, 2947, 4018, 4822, 6103, 6988, 8267, 804, 1218, 2980, 3710, 5038, 6085, 6709, 8267, 308, 1931, 3064, 3891, 4912, 5590, 6709, 7481, 308, 1455, 2803, 3226, 5106, 6051, 7207, 8237, 491, 2118, 2610, 3662, 4620, 5811, 7229, 7827, 936, 1453, 2175, 3445, 5011, 5325, 6898, 7687, 664, 1915, 2693, 3205, 5042, 6002, 7163, 8189, 876, 1489, 2282, 3446, 4804, 6114, 6903, 8189, 913, 1919, 3033, 3262, 4288, 5942, 6393, 7740, 211, 1349, 2861, 3570, 4431, 5538, 6950, 7882, 1099, 2111, 2925, 4098, 4555, 5678, 6889, 7919, 935, 1623, 2957, 3982, 4870, 5630, 7129, 8260, 935, 1175, 3135, 3891, 4287, 6014, 6668, 8076, 818, 2068, 3117, 4174, 5061, 5210, 6776, 8076, 818, 1620, 3095, 3982, 4980, 5832, 6709, 7806, 484, 1992, 3110, 4145, 4870, 6085, 6972, 8236, 555, 2017, 3006, 3891, 5038, 6186, 7120, 8147, 555, 1528, 2989, 3891, 4583, 5210, 7226, 7563, 555, 2111, 3065, 3550, 4782, 5219, 7098, 8236, 555, 1648, 3065, 3891, 4704, 6149, 6612, 8261, 555, 2002, 2806, 3771, 5159, 5677, 6584, 8223, 4, 2 ]

[ 1, 45, 66, 5, 76, 11, 78, 5, 54, 23, 5, 30, 48, 62, 5, 54, 26, 66, 5, 5, 3, 201, 2017, 2833, 3914, 4704, 5963, 6515, 8147, 860, 1528, 3117, 3367, 4704, 5612, 7077, 8147, 915, 1648, 2806, 4145, 4798, 5677, 7226, 8147, 789, 2034, 3064, 4145, 4716, 5844, 7103, 7899, 1059, 1561, 2335, 3570, 5100, 6000, 6529, 7397, 769, 1685, 2629, 3394, 4760, 5510, 7070, 7463, 346, 1164, 2309, 3227, 4321, 5495, 6295, 7758, 761, 1388, 2453, 3792, 4682, 6114, 6313, 7638, 955, 2106, 2282, 3164, 5134, 6094, 7038, 7801, 959, 1388, 2424, 3788, 4859, 5893, 6871, 7929, 613, 1736, 2659, 3962, 4387, 5390, 6486, 7698, 1059, 1797, 2737, 3364, 4533, 6195, 6909, 8180, 216, 2068, 2880, 4171, 4533, 5385, 7091, 8185, 942, 1562, 2710, 4165, 4440, 5754, 6996, 7660, 223, 1886, 3150, 3356, 4367, 5369, 7221, 7628, 692, 1503, 2439, 4091, 4996, 5405, 6668, 8144, 692, 1503, 2649, 3978, 4245, 5520, 7214, 7744, 692, 1740, 2869, 3179, 4690, 5660, 6614, 7941, 1036, 1490, 2455, 3732, 4893, 5224, 7064, 8036, 761, 1996, 3137, 3843, 4539, 6203, 6860, 7360, 613, 1171, 2346, 3418, 4996, 5875, 6739, 7423, 448, 2002, 2992, 3497, 5124, 5436, 6224, 8198, 576, 1682, 2992, 4082, 4443, 5937, 6410, 8239, 225, 1335, 2792, 4162, 4289, 6194, 7012, 7716, 317, 1497, 2867, 3951, 5074, 5723, 6893, 7665, 756, 1682, 2829, 3522, 4923, 5925, 6614, 8078, 216, 1763, 2959, 3436, 4533, 5954, 6849, 8164, 1035, 1363, 2272, 3631, 5115, 5660, 7172, 7794, 386, 1206, 3104, 3870, 4706, 5730, 6251, 7992, 318, 2024, 2731, 3355, 4690, 5490, 6678, 7660, 685, 2024, 2494, 3648, 4795, 6022, 7100, 7545, 653, 1779, 2378, 3424, 4553, 5615, 6856, 7891, 766, 1346, 2290, 3303, 5086, 5803, 7170, 8204, 870, 1401, 2172, 4117, 4377, 6178, 6798, 8026, 1070, 1446, 2752, 3295, 4380, 6016, 6745, 7915, 511, 1346, 2141, 3954, 5034, 5479, 6610, 7777, 673, 1346, 2338, 4076, 4634, 6107, 6324, 7904, 673, 1862, 2481, 3152, 4564, 5663, 6270, 7983, 870, 1848, 2680, 3486, 4335, 6200, 6870, 8232, 868, 1346, 2604, 3155, 4597, 5684, 7245, 7558, 511, 1183, 2604, 3372, 4497, 5251, 6240, 7581, 293, 1205, 2782, 3432, 4999, 6060, 6731, 7502, 1070, 1723, 2613, 3729, 4990, 5566, 6724, 7298, 774, 1183, 2255, 3432, 5071, 5742, 6836, 7472, 485, 1408, 2995, 3624, 4273, 5816, 6240, 7798, 485, 2050, 2233, 3486, 4835, 6208, 6541, 7784, 835, 1183, 3119, 3408, 5158, 6132, 6268, 7524, 1030, 1854, 2995, 4032, 4876, 5589, 7225, 7508, 485, 1618, 2743, 3600, 4677, 5804, 6404, 8238, 485, 1618, 2829, 4032, 4678, 5655, 6759, 7482, 938, 1183, 2653, 3263, 4775, 5851, 6687, 7924, 1063, 1503, 2266, 3840, 5005, 5244, 6806, 7724, 913, 1503, 2613, 3360, 5066, 5917, 6833, 7402, 970, 1503, 2612, 3403, 4379, 5711, 6281, 7853, 938, 1503, 2674, 3468, 5105, 5982, 6844, 8204, 938, 1503, 2133, 3342, 4674, 5974, 7214, 7373, 266, 1503, 3015, 3468, 5195, 5218, 6281, 7630, 1081, 1503, 3123, 3430, 4201, 5247, 6787, 8260, 643, 1788, 2869, 3910, 5198, 5296, 6235, 8167, 970, 1972, 2221, 3478, 4469, 5661, 6657, 8154, 1081, 1992, 2869, 3430, 4556, 5868, 6264, 7866, 678, 1537, 2710, 3612, 5078, 6102, 6423, 7865, 1025, 1510, 3007, 3551, 4890, 5216, 7168, 8179, 308, 1794, 2661, 4071, 4423, 5832, 6752, 7591, 512, 1675, 3007, 3540, 4530, 5883, 6809, 7949, 512, 1675, 3098, 4018, 4215, 5832, 6809, 8195, 512, 1675, 3095, 3909, 5159, 6195, 7168, 8260, 308, 1675, 2924, 3540, 5159, 5241, 7058, 8260, 684, 1467, 2838, 3710, 5061, 5635, 7084, 7887, 804, 1540, 3022, 4011, 4366, 5705, 7226, 8260, 804, 1945, 2991, 4170, 5166, 5832, 6988, 8179, 390, 1869, 3043, 3982, 5159, 5635, 7239, 7421, 276, 1797, 3133, 3826, 4411, 5810, 7173, 7478, 576, 2007, 3139, 3416, 5012, 5532, 7197, 7826, 986, 1340, 3063, 3855, 4751, 5940, 6383, 8245, 856, 1277, 2940, 3996, 4743, 5616, 6581, 7973, 722, 1928, 3048, 3298, 5043, 5549, 7043, 7953, 986, 1637, 2646, 4168, 4379, 6010, 6314, 7509, 545, 1668, 2271, 3903, 4916, 6117, 6889, 7843, 335, 1206, 2741, 3874, 5092, 5378, 6275, 7918, 401, 1928, 2380, 3376, 4398, 5959, 7174, 8047, 767, 2127, 2542, 4126, 4916, 5678, 6612, 7948, 1056, 1791, 2613, 3895, 4918, 5899, 6411, 7806, 1099, 1981, 2970, 3803, 4592, 5832, 6996, 7720, 818, 1623, 2838, 4114, 4782, 6205, 6786, 8126, 914, 1623, 3043, 4018, 5159, 6205, 7201, 8179, 818, 1648, 2957, 3825, 5104, 6205, 7226, 8147, 956, 1705, 2838, 3893, 4704, 6186, 6752, 7949, 757, 1381, 2582, 3932, 4529, 5677, 7222, 7718, 863, 1736, 2970, 4103, 5150, 5360, 6540, 7899, 433, 1736, 2775, 3478, 5076, 5350, 7230, 7732, 552, 2065, 2413, 3470, 4429, 5273, 7049, 7438, 741, 2106, 3006, 3231, 5058, 6195, 7090, 7865, 484, 1381, 2970, 3680, 4181, 5340, 7239, 8147, 186, 2111, 3117, 3680, 5159, 6139, 7124, 7782, 488, 1528, 2806, 3891, 4704, 5340, 7077, 7876, 818, 1191, 2164, 4174, 4624, 6081, 7077, 8196, 818, 1191, 3117, 3825, 5038, 5241, 7124, 7949, 1099, 1218, 3043, 3367, 5159, 6139, 7132, 7806, 767, 1919, 3101, 4064, 5080, 5493, 6972, 7723, 1033, 1206, 3001, 3540, 4334, 6025, 6515, 7664, 614, 1827, 2610, 3917, 4573, 5413, 6771, 7832, 1035, 2117, 2872, 3238, 4690, 6172, 6592, 7717, 752, 1993, 2872, 4082, 5169, 6156, 6671, 7643, 104, 1255, 3109, 3771, 4717, 6123, 7114, 7776, 160, 1825, 2315, 3917, 4467, 5219, 6871, 7965, 806, 1935, 2629, 3679, 4893, 6205, 6998, 7711, 614, 1363, 2905, 3949, 4766, 5279, 6225, 7481, 1039, 1547, 2920, 3313, 4832, 5533, 6531, 7797, 374, 1789, 2797, 4127, 4205, 5325, 6795, 7666, 880, 1735, 2345, 4088, 5108, 5408, 7199, 7898, 1052, 1503, 2320, 3421, 4646, 5456, 6269, 8211, 569, 1503, 2233, 3300, 4731, 5751, 6857, 8089, 536, 1503, 2805, 4004, 4604, 5710, 6793, 8256, 930, 1503, 2913, 3792, 4981, 5313, 6932, 7690, 810, 1496, 2594, 3386, 4712, 5995, 7210, 7883, 844, 1965, 2869, 3324, 4511, 5607, 7102, 7922, 397, 2052, 3121, 3624, 4767, 5629, 6399, 7250, 940, 1905, 2473, 3971, 5084, 5935, 6265, 7297, 678, 1112, 2520, 3874, 4764, 6167, 6432, 7887, 899, 1112, 2654, 3366, 4565, 6175, 6467, 7816, 475, 1791, 2453, 4168, 4387, 5541, 6465, 7355, 356, 1179, 2669, 3664, 4746, 5662, 7222, 8209, 935, 1218, 2554, 3994, 5044, 5767, 7157, 8076, 186, 1705, 2781, 4174, 4888, 5901, 6630, 8066, 935, 2032, 2679, 3710, 5038, 6085, 7201, 7766, 256, 1345, 3008, 3803, 4412, 5767, 6604, 7559, 183, 1147, 2729, 3394, 4912, 5650, 6291, 7957, 859, 1756, 2839, 3363, 4859, 5677, 7239, 7641, 859, 1750, 2991, 3391, 4888, 5705, 6810, 7717, 859, 1945, 2151, 3990, 4374, 5752, 7120, 7591, 555, 1623, 2833, 3827, 4704, 5677, 6589, 8185, 555, 1623, 2164, 3827, 4822, 6081, 7168, 7664, 818, 1648, 2806, 3827, 4624, 6139, 7124, 7949, 488, 1528, 3117, 3367, 4624, 6081, 6794, 7717, 488, 2017, 3065, 3825, 4624, 6139, 7226, 8223, 488, 1622, 2164, 3825, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 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, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 43, 48, 5, 76, 11, 78, 5, 42, 63, 39, 66, 41, 16, 52, 5, 41, 20, 63, 5, 31, 16, 5, 29, 14, 54, 64, 5, 20, 63, 5, 64, 45, 63, 47, 78, 5, 17, 75, 5, 29, 14, 54, 64, 16, 78, 5, 31, 14, 66, 5, 20, 52, 76, 40, 78, 5, 66, 69, 51, 5, 43, 45, 53, 5, 66, 16, 76, 20, 63, 30, 5, 52, 48, 5, 5, 3, 860, 2017, 2164, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 859, 2127, 3147, 3994, 4870, 5901, 7152, 7717, 419, 1876, 2970, 4125, 4549, 5635, 6671, 7715, 256, 1695, 2860, 3680, 5157, 5942, 7207, 8130, 149, 1597, 3112, 3756, 5031, 6179, 6809, 8205, 346, 1834, 2309, 3943, 4604, 5829, 6354, 8070, 487, 1583, 2346, 3546, 4439, 5441, 6424, 8069, 399, 1773, 2717, 3358, 4191, 5298, 7229, 7487, 1029, 1773, 2309, 3306, 5095, 5419, 6680, 7366, 100, 1850, 2436, 3596, 4592, 6073, 6668, 8117, 1005, 1146, 2520, 3950, 4830, 5245, 6678, 8236, 1029, 1773, 2167, 3707, 4215, 5425, 6880, 7751, 936, 1773, 3092, 3201, 4535, 6041, 7041, 8022, 936, 1141, 2232, 4021, 4278, 5212, 6334, 7547, 988, 1826, 2436, 3167, 5042, 6037, 6377, 7954, 536, 2002, 2292, 4007, 4282, 6096, 6567, 8151, 576, 1808, 2953, 3201, 4804, 5536, 7205, 7961, 518, 1821, 2814, 3536, 4352, 6189, 6249, 7538, 518, 2107, 3120, 3518, 4352, 5478, 6613, 7981, 225, 1421, 2805, 4149, 4849, 5243, 6443, 7781, 757, 1171, 2885, 3900, 4859, 5250, 7095, 8169, 91, 1966, 2718, 3873, 4993, 5526, 6950, 8187, 488, 2073, 3008, 3680, 4704, 5767, 7090, 8147, 1099, 2065, 3008, 4114, 5159, 6085, 6579, 8080, 555, 2000, 2946, 4011, 4181, 6205, 6604, 7732, 603, 1937, 2709, 3487, 4447, 6204, 6613, 8172, 100, 1217, 3033, 3749, 4857, 6040, 6275, 7906, 645, 1248, 2661, 3383, 4551, 5378, 6796, 7476, 223, 1233, 3092, 3889, 4987, 6146, 7012, 7583, 864, 1388, 2661, 3870, 5134, 5491, 7221, 8128, 1080, 1231, 2440, 4025, 4970, 5354, 6776, 7831, 668, 1510, 2384, 3459, 4388, 5391, 7035, 8000, 692, 1283, 2584, 3500, 4360, 5244, 6470, 7561, 545, 1268, 2897, 3782, 5072, 5633, 6313, 7510, 582, 1550, 2349, 4155, 4776, 5995, 6566, 7288, 103, 1928, 2137, 3941, 4461, 5767, 7017, 7973, 216, 1388, 3080, 3710, 4782, 6051, 7044, 7795, 859, 1248, 3098, 3669, 5134, 5694, 7037, 7476, 804, 1750, 2925, 4170, 4980, 5981, 6996, 8076, 186, 1508, 3135, 4145, 4287, 6051, 6972, 7641, 935, 1874, 2730, 4145, 5145, 5968, 7084, 7485, 901, 1833, 3095, 4168, 5167, 6175, 6671, 8221, 256, 2060, 3053, 3914, 4226, 5372, 7120, 7806, 568, 1108, 3150, 3364, 4918, 6105, 7218, 8213, 878, 2106, 3000, 4151, 4555, 5475, 6802, 7649, 153, 2073, 2554, 3994, 4229, 6014, 6612, 7899, 571, 1509, 2560, 4171, 5026, 5515, 7201, 7428, 831, 2035, 2945, 4168, 4724, 5350, 6859, 8251, 1008, 1755, 2732, 3330, 4612, 5909, 6967, 7616, 864, 1440, 3060, 4128, 5130, 5910, 6923, 7262, 1024, 1469, 2607, 3963, 4555, 5344, 6503, 7658, 970, 1315, 2554, 4133, 4729, 5378, 7152, 7264, 216, 1847, 2965, 4128, 5130, 5235, 6588, 7948, 453, 2069, 2554, 3426, 4533, 6032, 6868, 7429, 256, 2125, 2473, 3768, 5167, 5656, 7162, 7563, 440, 1597, 2330, 3795, 4859, 6180, 7149, 7477, 240, 2030, 2489, 4006, 5179, 5493, 7239, 8066, 878, 1851, 3147, 3407, 5098, 5216, 6286, 7476, 617, 1386, 2989, 3966, 4912, 5503, 6612, 7732, 450, 1468, 2391, 3994, 5053, 6150, 6605, 7527, 779, 2035, 2791, 3512, 4387, 5942, 6806, 8260, 271, 1469, 2389, 4122, 4191, 6008, 7100, 8265, 1009, 1469, 2171, 4118, 5085, 5885, 6536, 7931, 864, 1298, 2766, 3752, 4702, 5928, 6634, 7496, 938, 1248, 2732, 3655, 4570, 6214, 7085, 7748, 1081, 1869, 2137, 3922, 4849, 5513, 6791, 7503, 804, 1233, 2492, 4093, 5118, 6001, 6786, 7715, 440, 1682, 2563, 3931, 4983, 6014, 7127, 8150, 901, 1324, 2709, 3420, 4760, 5581, 6966, 8135, 1062, 1770, 2710, 3704, 4439, 5503, 6731, 8069, 271, 1740, 2937, 3552, 4699, 5972, 6347, 8143, 728, 1826, 2581, 3456, 5043, 6218, 6302, 7410, 465, 1283, 2727, 3426, 4667, 5429, 6808, 8053, 288, 1164, 2945, 3904, 4598, 5643, 6551, 7810, 308, 1562, 2391, 3593, 4955, 5901, 7058, 7658, 935, 2111, 3095, 3226, 4630, 5340, 6988, 8195, 935, 1280, 2946, 3891, 5061, 6205, 6774, 7720, 757, 1248, 2709, 3305, 4598, 5875, 6615, 7808, 518, 1706, 3007, 3746, 5120, 5918, 6607, 8150, 225, 1269, 2329, 3394, 4580, 5899, 6790, 8261, 225, 1623, 2181, 3914, 5160, 5730, 6646, 8046, 334, 1286, 2717, 3930, 4411, 5489, 6838, 7962, 757, 1112, 2664, 3930, 5188, 5573, 6486, 8261, 617, 1623, 2656, 3904, 5167, 5942, 6614, 8164, 779, 1403, 2960, 3982, 5142, 5385, 6604, 8076, 716, 2024, 2941, 3980, 4762, 5315, 6979, 8083, 640, 1687, 2751, 3751, 4495, 5953, 6977, 7510, 660, 1823, 2725, 3790, 4510, 6101, 6973, 8137, 895, 1695, 2866, 3690, 4539, 5523, 7073, 7690, 465, 1520, 2836, 3714, 4829, 5465, 6966, 7842, 759, 1818, 2373, 3922, 4604, 5874, 6620, 7769, 725, 1977, 2953, 4079, 4464, 6216, 7229, 8134, 1101, 1984, 2559, 4175, 4571, 5830, 6898, 8149, 271, 1490, 2755, 3613, 5005, 6178, 6748, 7445, 1066, 1520, 2953, 3918, 4364, 5577, 6949, 7831, 1029, 1496, 3005, 3295, 4764, 5823, 6263, 7442, 887, 1496, 2578, 3766, 4983, 5443, 6932, 8199, 150, 1496, 2384, 3205, 4796, 5930, 7160, 7631, 1025, 1797, 3007, 3271, 5166, 6175, 7169, 7313, 678, 1794, 2783, 4017, 5088, 6000, 6954, 8245, 1081, 2033, 2746, 3233, 4513, 5353, 6639, 7485, 610, 1255, 2820, 4035, 4828, 6211, 7132, 8126, 756, 2000, 2838, 3662, 5080, 5344, 6565, 7363, 240, 1467, 2542, 3407, 5088, 5863, 6748, 7813, 240, 2127, 2946, 3595, 5145, 6110, 6668, 7717, 240, 1623, 3007, 3595, 4240, 6129, 6752, 7723, 240, 1304, 2554, 3364, 5080, 5413, 7090, 7723, 228, 1851, 2792, 3595, 4398, 5837, 7120, 7477, 228, 1452, 2221, 4166, 4888, 6097, 6604, 7715, 225, 1750, 2729, 3777, 4681, 6110, 7069, 7716, 183, 2002, 2860, 3413, 4764, 5296, 6901, 7716, 153, 1826, 2941, 3374, 4549, 5296, 6615, 7865, 1047, 1119, 2783, 3955, 4423, 6146, 6829, 7664, 938, 1402, 3038, 3910, 4199, 5555, 6957, 7664, 271, 1582, 2710, 3702, 4725, 5399, 7031, 7312, 266, 1633, 3060, 3288, 4417, 5220, 7046, 7608, 1067, 1641, 2865, 3514, 4512, 6075, 6595, 7709, 1024, 1548, 2423, 3323, 4765, 6080, 6512, 7296, 386, 1582, 3005, 3297, 5015, 5867, 6633, 7519, 271, 1199, 2439, 3406, 4903, 5565, 6579, 7802, 1081, 1141, 2678, 3240, 5127, 5869, 6272, 7593, 756, 1407, 2503, 4011, 5145, 5603, 6920, 8240, 225, 1524, 2355, 3376, 4258, 5561, 6609, 7549, 699, 1935, 2659, 3879, 4836, 5787, 7043, 8027, 654, 2002, 2468, 3956, 4920, 6103, 6613, 7838, 228, 1304, 2791, 3225, 4326, 5223, 7120, 7509, 228, 1851, 2156, 3819, 4638, 5515, 7168, 7524, 240, 1525, 2659, 3891, 4764, 5677, 6889, 8262, 228, 1452, 3040, 3413, 5024, 5963, 7207, 7641, 518, 1750, 3048, 3394, 5159, 5901, 6579, 8118, 256, 1851, 2316, 4113, 4870, 5515, 6889, 7781, 228, 1851, 2473, 3827, 5135, 6110, 7207, 7697, 543, 1623, 2833, 4006, 4398, 6065, 6453, 8188, 1025, 1807, 2608, 3565, 4813, 5824, 6984, 7846, 480, 1561, 2717, 3201, 4421, 5344, 6535, 7852, 807, 1561, 2254, 3669, 5100, 5733, 7043, 7904, 1088, 1550, 2375, 3955, 5124, 6194, 6308, 7675, 731, 1876, 2566, 4095, 5138, 5663, 7043, 7582, 391, 1252, 2925, 3827, 5128, 5906, 6840, 8256, 767, 1545, 3026, 3975, 4859, 6103, 7222, 7683, 1011, 2059, 2481, 4082, 4789, 6025, 6465, 7276, 981, 1463, 3053, 3300, 4191, 5827, 7110, 7906, 386, 1141, 2708, 3488, 4615, 6094, 7115, 7758, 1029, 1164, 2432, 4043, 4609, 6001, 6298, 7428, 150, 1732, 2432, 3459, 5196, 5899, 6892, 8129, 784, 1758, 2432, 3286, 5011, 5811, 6790, 8098, 150, 1510, 2142, 3533, 4609, 5910, 6840, 7826, 884, 1948, 2188, 3727, 4278, 5322, 6720, 8113, 725, 1808, 2156, 3476, 4278, 5221, 7193, 8129, 299, 1806, 2330, 4103, 4804, 5640, 6898, 7559, 487, 1924, 2595, 3811, 4953, 5706, 6608, 7757, 1025, 1164, 3008, 3631, 5022, 5745, 6876, 7490, 1059, 1494, 3080, 3764, 4942, 5810, 7150, 8173, 576, 1797, 3116, 4149, 4501, 6165, 6895, 7994, 654, 1918, 2359, 3749, 4601, 5838, 6898, 8034, 228, 1430, 2818, 4135, 4785, 5576, 6736, 7959, 518, 1675, 2904, 3674, 4386, 5896, 6632, 7849, 752, 2079, 2971, 3574, 4804, 5857, 6430, 7627, 993, 1154, 2436, 3187, 4854, 5296, 6861, 7400, 526, 1826, 2520, 3187, 4604, 5823, 6267, 8178, 936, 1826, 3145, 3187, 4770, 5778, 6593, 8035, 1022, 2059, 2975, 3376, 5100, 5466, 6412, 7869, 899, 1878, 2473, 4101, 4780, 5630, 6967, 8079, 789, 2030, 2803, 3671, 4635, 6120, 7023, 7677, 256, 1108, 2803, 3955, 4822, 6110, 6980, 8237, 878, 1510, 2345, 3662, 4210, 5493, 7100, 7515, 105, 2077, 2187, 3955, 5148, 5379, 6677, 8118, 105, 2114, 2560, 3645, 4512, 5586, 6517, 7806, 225, 1108, 2729, 3470, 4387, 5548, 7160, 7707, 225, 1112, 2858, 3528, 4329, 5730, 6903, 8261, 568, 1706, 2717, 3689, 4881, 5723, 6338, 7664, 421, 1633, 2242, 4125, 5179, 5610, 6371, 7442, 757, 2127, 3147, 3550, 4606, 5844, 6809, 7664, 617, 1937, 2656, 3891, 5040, 5901, 6677, 8267, 959, 1827, 3021, 3751, 4859, 6146, 6809, 7664, 271, 1108, 3101, 3309, 4681, 5339, 6551, 7385, 249, 1653, 3121, 3812, 4364, 5508, 7063, 8086, 884, 1794, 2672, 3181, 4818, 5875, 7048, 7612, 363, 1695, 2593, 3779, 5178, 5570, 6624, 7767, 462, 1108, 2751, 3742, 4242, 5880, 6532, 8016, 302, 1808, 2241, 4007, 4571, 5835, 6373, 7612, 492, 1636, 2491, 3690, 4580, 5453, 6538, 7827, 247, 1472, 2251, 3735, 4333, 5745, 6447, 7795, 938, 2105, 3116, 3415, 4420, 5306, 6976, 7360, 641, 1826, 2688, 3949, 4413, 5706, 6958, 7458, 424, 1919, 3026, 3582, 5019, 5470, 6492, 7791, 1025, 1399, 2436, 3762, 4983, 5289, 6832, 8043, 424, 1175, 2762, 3937, 4954, 5360, 6311, 7677, 663, 1566, 2429, 4067, 4630, 5552, 6348, 7677, 256, 1915, 2594, 3251, 4411, 5796, 7207, 7479, 127, 1311, 2554, 3960, 4890, 5767, 6262, 7537, 654, 1597, 2654, 4125, 4344, 5515, 7058, 7865, 654, 1623, 2473, 4026, 4854, 5493, 7149, 8066, 518, 2118, 2791, 3827, 4918, 6110, 6612, 8185, 228, 1684, 2880, 3394, 5160, 5520, 7069, 7476, 183, 1684, 2473, 3796, 4775, 5824, 6612, 8195, 304, 1550, 3062, 3922, 4376, 6137, 6734, 8163, 650, 1591, 2315, 3651, 5138, 5599, 6832, 8132, 884, 1649, 2332, 4076, 4218, 5454, 7021, 7660, 845, 1942, 2282, 3187, 5020, 5787, 6910, 8092, 737, 1550, 3066, 3292, 4288, 5988, 7229, 7989, 326, 1472, 2610, 3285, 4426, 5224, 6267, 7913, 487, 1794, 2258, 3394, 4813, 5867, 6917, 7365, 487, 1759, 2893, 3394, 4555, 5762, 6783, 7261, 881, 2048, 2522, 3394, 4364, 5875, 6888, 7927, 881, 1826, 2589, 4137, 4586, 6176, 6484, 7939, 927, 1700, 2989, 3662, 4604, 5436, 6965, 7902, 576, 1797, 2315, 3788, 4715, 5413, 6962, 7869, 654, 2030, 2554, 3562, 4954, 5318, 6612, 8005, 654, 2030, 2554, 3706, 4351, 5433, 6889, 8083, 654, 2030, 2725, 4011, 4775, 5515, 7120, 7485, 228, 1851, 2316, 3227, 4398, 5689, 7162, 7494, 256, 2118, 2904, 3595, 5135, 5290, 6486, 8061, 555, 2111, 2554, 3595, 4918, 6137, 6604, 7557, 915, 1756, 2806, 3914, 5104, 5413, 6338, 8147, 915, 1961, 2806, 3595, 5079, 5873, 6889, 8147, 859, 1684, 3064, 3595, 4762, 6149, 6589, 7732, 552, 1345, 2833, 3374, 5159, 5730, 7091, 7605, 555, 2111, 2858, 3914, 5159, 6182, 6752, 8196, 915, 2111, 2164, 3914, 4704, 5241, 7120, 7766, 915, 2017, 2164, 3891, 4681, 5493, 7077, 7715, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 860, 1528, 2164, 3825, 4624, 6139, 7077, 7766, 142, 1528, 2806, 3893, 4624, 6186, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 915, 1304, 2340, 3803, 4798, 6186, 7124, 7766, 401, 1724, 2163, 4037, 5072, 5312, 6870, 8078, 318, 1490, 2953, 3723, 5040, 5696, 6614, 8169, 363, 1388, 2871, 3578, 4475, 5650, 6875, 8270, 1004, 1820, 2951, 3824, 4982, 6054, 6241, 8018, 807, 1346, 3074, 3765, 4717, 5611, 6802, 7842, 397, 1171, 2465, 3491, 4855, 5464, 6663, 7887, 465, 1826, 2579, 3792, 4873, 5228, 6944, 7689, 465, 1171, 2278, 3248, 5106, 5810, 6604, 8069, 249, 1510, 2486, 3936, 4763, 5379, 6335, 7975, 803, 1531, 2687, 3462, 4214, 5671, 7051, 7442, 123, 1167, 3003, 3960, 4738, 5224, 6700, 8020, 299, 2070, 2137, 3742, 4541, 5594, 6847, 8039, 840, 1469, 2658, 3386, 5148, 5615, 7096, 7437, 1067, 2089, 2172, 3742, 4865, 6002, 6638, 8190, 271, 1469, 2677, 3557, 4245, 5950, 7055, 8204, 386, 1469, 3047, 3248, 4478, 5845, 6620, 7658, 504, 1469, 2671, 3200, 4607, 5994, 6287, 8139, 1029, 1469, 2568, 3416, 4404, 5644, 6504, 8238, 504, 1543, 3040, 3302, 4589, 6121, 6700, 7422, 386, 2008, 2972, 3740, 4441, 5945, 7181, 7260, 1029, 2066, 3040, 3750, 4599, 5447, 7171, 8207, 504, 1440, 2835, 3917, 4186, 5570, 7173, 7574, 150, 1440, 2728, 4146, 4819, 5528, 6721, 7613, 643, 1318, 3040, 3252, 4536, 6050, 6648, 7872, 940, 1812, 2445, 3394, 4179, 6199, 6810, 7607, 216, 1687, 2356, 3710, 4859, 5715, 6588, 7712, 643, 1318, 2554, 3376, 4558, 5991, 6953, 7570, 271, 2061, 2321, 3721, 4320, 5850, 7220, 8257, 266, 1407, 2137, 3556, 4621, 5886, 7094, 8252, 1067, 1768, 2137, 3409, 4429, 5899, 6935, 8231, 1024, 1531, 2422, 3520, 4324, 5759, 6668, 7567, 1080, 1826, 3053, 3475, 4690, 5602, 7242, 7983, 807, 1826, 2561, 3695, 5092, 5926, 6625, 7944, 986, 1732, 2890, 3298, 4921, 6061, 6676, 8257, 986, 1561, 2659, 4022, 5142, 5262, 6422, 7633, 986, 2024, 2387, 3939, 5042, 6193, 6576, 7817, 1059, 1562, 2268, 3533, 4691, 5360, 6844, 8237, 576, 1717, 2761, 4072, 4312, 6213, 6434, 8261, 228, 1577, 2542, 3599, 4855, 6137, 6776, 7557, 654, 1806, 2856, 3866, 4459, 5883, 6486, 8244, 654, 1345, 3064, 3866, 4934, 5599, 6256, 8236, 518, 1440, 3065, 4113, 4918, 5413, 7201, 7494, 256, 1440, 2669, 4006, 4888, 5678, 7201, 7716, 105, 1597, 2754, 3391, 4852, 5223, 6291, 8080, 105, 1851, 2167, 3413, 5159, 5830, 6615, 7723, 518, 1440, 2669, 3413, 4459, 5811, 6965, 7865, 276, 1199, 2992, 3931, 4225, 6222, 7082, 7607, 568, 1633, 3099, 3239, 4737, 6160, 7160, 7563, 153, 1752, 2725, 3518, 5091, 6120, 7152, 8263, 942, 1827, 2959, 3877, 5006, 6001, 6863, 7350, 1067, 1982, 2706, 3543, 4672, 6142, 7210, 7435, 1019, 1682, 2260, 4021, 4335, 5904, 6595, 8128, 1019, 1682, 2718, 3314, 4539, 6197, 6473, 7881, 1024, 1572, 2207, 3454, 4459, 5854, 6803, 8117, 1056, 1838, 2915, 3838, 4883, 5550, 6986, 7528, 914, 1682, 2984, 4145, 4822, 5832, 6774, 8236, 308, 1856, 2803, 3717, 4440, 6026, 7218, 7717, 935, 1620, 2989, 3645, 4447, 5678, 6786, 8267, 495, 1210, 2886, 3284, 4596, 5722, 7091, 7828, 878, 1937, 3064, 3879, 4489, 5923, 6485, 7970, 256, 1141, 2818, 3420, 4549, 5296, 6734, 7557, 390, 1706, 3053, 3407, 4359, 6146, 6566, 7303, 223, 1164, 2422, 4025, 4646, 5424, 6569, 8049, 540, 1550, 2836, 3936, 4736, 5740, 7160, 7800, 993, 1570, 2250, 3909, 4364, 6213, 6482, 7505, 845, 1816, 2923, 3181, 4604, 5765, 6529, 7894, 1062, 1794, 2346, 3537, 4455, 5624, 7017, 7753, 776, 1139, 3066, 3937, 4374, 5606, 6910, 7385, 993, 1255, 3118, 3169, 5142, 5643, 6771, 8050, 826, 1831, 2750, 3659, 4604, 5425, 6954, 7248, 150, 1878, 2796, 4145, 4622, 5873, 7206, 7336, 299, 1141, 2357, 3206, 4531, 5441, 6716, 7454, 150, 1782, 2678, 3233, 4906, 5740, 6283, 7971, 150, 1782, 2678, 3917, 4752, 6022, 6419, 8217, 826, 1771, 3030, 3992, 4918, 5784, 6525, 7919, 150, 1924, 2456, 3771, 5144, 5491, 7244, 8207, 1081, 1581, 3033, 3530, 4259, 5761, 6809, 7992, 804, 1992, 2678, 3226, 4276, 5901, 6515, 8093, 142, 1791, 3109, 4006, 5080, 5883, 6972, 8195, 935, 1804, 3008, 3671, 4704, 6025, 6996, 8179, 874, 1706, 2886, 4026, 4983, 5289, 7229, 8187, 225, 1349, 2181, 3764, 5104, 5565, 7168, 8111, 617, 1620, 3026, 3886, 5120, 5943, 6810, 7563, 579, 1320, 2214, 3889, 4588, 5456, 6692, 7865, 390, 1509, 2163, 3962, 5150, 5548, 7222, 7816, 1071, 1670, 2816, 3656, 4762, 5418, 6351, 8070, 271, 1582, 2485, 3369, 4759, 5480, 6729, 7703, 83, 1167, 2260, 3400, 5107, 5640, 7195, 8160, 1008, 1167, 2877, 3747, 4565, 5810, 6514, 8201, 1008, 1494, 2175, 3747, 4803, 5934, 6456, 7940, 83, 1633, 2748, 3693, 4901, 5934, 6943, 7708, 277, 1928, 2731, 3421, 4571, 5526, 6787, 7534, 864, 1630, 2751, 3794, 4314, 5245, 6866, 7598, 876, 1499, 3090, 3289, 4494, 5344, 6224, 8113, 1008, 1937, 2483, 4007, 4380, 5745, 6493, 7262, 1016, 2036, 2946, 3409, 4522, 6120, 6813, 8110, 344, 1512, 2232, 4064, 4396, 5658, 7147, 8060, 1005, 1189, 2511, 3187, 4203, 6006, 7052, 7741, 776, 1139, 2656, 3376, 4930, 5605, 7189, 7876, 308, 1581, 2151, 3680, 4429, 6070, 6584, 7677, 1056, 1978, 3006, 3671, 4374, 6129, 7006, 7421, 804, 1218, 3006, 3671, 5166, 5705, 6349, 7641, 1056, 1620, 2582, 3776, 4551, 6175, 7010, 7723, 952, 1753, 3109, 3904, 4228, 5658, 7169, 8245, 610, 1503, 2348, 3279, 4855, 5765, 6888, 7906, 887, 1682, 2361, 3478, 4755, 5689, 6899, 7367, 271, 1199, 2369, 3372, 5095, 5611, 6692, 7641, 1057, 1350, 2869, 3697, 5106, 5954, 7110, 7270, 1057, 1881, 2902, 3870, 5138, 5220, 6348, 7481, 1056, 1388, 2429, 3914, 4872, 5730, 7069, 7962, 845, 1773, 2480, 4107, 4513, 5204, 7163, 8050, 1025, 1942, 2843, 3187, 4705, 6117, 7065, 8189, 487, 1561, 2346, 3819, 4604, 6201, 6472, 7954, 487, 2034, 2435, 3425, 4687, 5421, 6293, 7987, 986, 2059, 2795, 3936, 4664, 5818, 6860, 8016, 807, 2059, 2355, 3746, 4873, 5600, 6625, 7279, 582, 2059, 2346, 3421, 4218, 5958, 7079, 8215, 613, 1692, 2751, 3704, 4709, 6135, 7112, 7819, 691, 1942, 2520, 3679, 4205, 5765, 7090, 7954, 487, 1280, 2456, 4103, 4604, 5504, 6869, 7930, 1059, 2059, 2638, 3924, 4918, 5800, 6702, 8173, 678, 1550, 2669, 3711, 4881, 5313, 6830, 8109, 940, 1550, 2987, 3811, 5150, 6166, 6235, 8205, 709, 1692, 3086, 3886, 5138, 5944, 6464, 7744, 356, 2000, 3021, 3596, 4622, 6085, 6603, 7563, 914, 1998, 2803, 4145, 4681, 5548, 6551, 8260, 914, 1847, 2947, 4145, 4555, 5210, 6988, 7865, 555, 1623, 2941, 4103, 5038, 5883, 7084, 7811, 555, 1620, 2946, 4166, 4555, 6205, 7120, 7715, 555, 1623, 2941, 4108, 4622, 5635, 6604, 8237, 555, 1623, 2941, 4145, 4681, 5677, 6972, 7715, 915, 1876, 2941, 4145, 4387, 5219, 6996, 7303, 488, 1528, 3065, 3893, 4704, 5635, 7207, 8196, 488, 2017, 2914, 3893, 4624, 5635, 7226, 7766, 142, 1528, 2806, 3825, 4624, 6129, 6794, 8223, 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, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 76, 48, 63, 5, 42, 57, 44, 55, 5, 66, 73, 5, 43, 14, 75, 5, 64, 17, 62, 35, 5, 44, 54, 5, 53, 26, 5, 63, 73, 53, 5, 5, 5, 64, 17, 53, 67, 44, 55, 5, 43, 11, 66, 5, 5, 3, 277, 1463, 2137, 3502, 4807, 5591, 6347, 8197, 436, 1531, 2546, 3438, 4448, 5558, 6907, 7665, 1019, 2061, 2156, 3992, 4835, 5298, 6329, 7885, 1080, 1252, 2170, 3672, 5011, 6107, 6237, 8018, 1036, 1388, 2633, 3669, 4776, 6130, 6259, 7364, 234, 1164, 2808, 3416, 4795, 5624, 7062, 8163, 504, 1806, 3055, 3911, 4831, 6034, 6659, 7844, 1099, 1717, 2792, 3692, 4764, 5968, 7085, 7248, 211, 1924, 2925, 4083, 4993, 6175, 7220, 7677, 288, 1455, 2293, 3908, 4859, 6025, 6830, 8030, 684, 2065, 2797, 3945, 5104, 5767, 6302, 8185, 639, 1171, 2340, 3603, 4789, 6160, 6567, 8078, 1023, 1234, 2564, 3632, 4576, 6107, 6804, 7926, 723, 1550, 2173, 3632, 5031, 5308, 6846, 8086, 875, 1351, 2137, 3276, 4431, 5775, 7154, 7954, 973, 1550, 2756, 4014, 4421, 5313, 6236, 7673, 360, 1550, 2234, 3179, 4515, 5339, 6249, 7457, 1004, 1838, 2397, 3394, 4886, 5618, 6843, 7592, 363, 1550, 2757, 3251, 4883, 5511, 6600, 8086, 1029, 1337, 2710, 3394, 5001, 5437, 6889, 8269, 150, 2059, 2638, 3631, 4818, 6118, 6914, 7935, 784, 1758, 2732, 4103, 4776, 6003, 6578, 7428, 504, 1806, 2167, 3356, 4297, 5899, 6526, 7509, 386, 1550, 2397, 3361, 4417, 6145, 6412, 7535, 938, 1550, 2311, 3878, 4854, 5366, 6619, 7611, 779, 1847, 2946, 3488, 4993, 5797, 7149, 7948, 1081, 1858, 2785, 3885, 5165, 6014, 6988, 7557, 512, 2000, 2803, 3975, 5088, 5534, 7098, 7838, 512, 1620, 3150, 4115, 4287, 5968, 6467, 7723, 862, 1349, 2542, 3994, 4376, 5485, 7114, 7250, 584, 1688, 2725, 3896, 4427, 5972, 6449, 7634, 261, 1269, 2239, 4061, 4321, 5793, 6290, 7680, 660, 1823, 2565, 3329, 5070, 6169, 6309, 7859, 165, 1594, 2464, 3261, 4341, 6054, 6753, 8201, 1052, 1615, 2708, 3548, 4770, 5962, 6766, 8109, 759, 1756, 3030, 4070, 4420, 6118, 6910, 8248, 653, 1526, 2626, 3458, 4800, 6157, 6801, 7649, 459, 1503, 2677, 3557, 4735, 5580, 7130, 7930, 1033, 1503, 2628, 3886, 4243, 5917, 6834, 7402, 844, 1503, 2835, 3342, 5011, 6215, 6620, 7538, 304, 1386, 2959, 3886, 4969, 5632, 6240, 8145, 899, 1998, 2598, 4166, 4276, 5590, 6959, 7670, 256, 1782, 2469, 3990, 4344, 5892, 6852, 7781, 901, 1525, 2798, 3732, 5048, 5360, 6771, 7383, 568, 1547, 2292, 3635, 4247, 6194, 6410, 7785, 568, 2030, 3026, 3599, 4596, 5447, 6514, 7625, 518, 1440, 2542, 3798, 4681, 5514, 6657, 7291, 225, 1949, 2904, 3376, 5075, 5678, 6607, 8099, 654, 1806, 2468, 3550, 4387, 5579, 6798, 7485, 240, 2002, 2341, 3352, 4916, 5413, 6840, 7677, 127, 2106, 2316, 3555, 4859, 5767, 7090, 7706, 240, 1304, 2156, 3394, 4344, 5695, 6515, 8085, 240, 1525, 2156, 3470, 5159, 6175, 7120, 8147, 878, 1623, 2659, 3440, 4186, 5650, 6302, 7303, 424, 1509, 2659, 3807, 4670, 5677, 6752, 7706, 786, 1962, 2721, 3178, 4440, 5413, 7163, 7565, 535, 2099, 2345, 3682, 4281, 6167, 6798, 7423, 536, 1267, 2705, 3699, 4580, 5716, 6934, 8168, 1005, 1843, 2642, 3378, 4316, 5251, 6711, 7604, 104, 1438, 3015, 3313, 4852, 5941, 6753, 7423, 641, 1799, 2493, 3492, 4666, 5451, 7165, 7899, 1056, 1212, 2985, 3918, 4634, 5900, 6691, 7867, 914, 1508, 2890, 3680, 5166, 5204, 6996, 8185, 337, 1534, 2803, 4105, 4888, 5385, 6515, 7458, 475, 1992, 2946, 4115, 5058, 6175, 7237, 8245, 1015, 1791, 3008, 4026, 4398, 5553, 6891, 7957, 489, 1141, 2895, 3994, 4586, 5515, 6688, 7750, 1003, 1141, 2244, 4097, 4374, 5850, 7003, 7663, 262, 1761, 2234, 3871, 5164, 5587, 7025, 8143, 1008, 1855, 2934, 3767, 4841, 6077, 7014, 8089, 1067, 1453, 2667, 3626, 4590, 5344, 6834, 7435, 938, 1509, 2856, 4030, 4179, 5594, 6870, 7428, 547, 1453, 2213, 3918, 5092, 5942, 6573, 7423, 938, 1315, 3026, 3471, 4818, 5588, 6548, 7862, 864, 1735, 2593, 3270, 4748, 6125, 7041, 8216, 668, 1758, 2607, 3374, 5031, 5360, 6973, 8040, 487, 1830, 2343, 4083, 5111, 5930, 7057, 7574, 547, 1826, 2543, 3832, 4387, 5769, 6574, 8242, 663, 1315, 2366, 3788, 4918, 5614, 7069, 7485, 216, 1441, 2946, 3271, 4208, 5202, 6908, 8009, 386, 1227, 2462, 3251, 5084, 5332, 6373, 7927, 643, 2102, 2678, 3221, 4592, 5927, 6793, 7677, 767, 1948, 3085, 3795, 5193, 6147, 6526, 7696, 504, 1499, 2911, 3771, 4983, 6001, 7149, 7687, 386, 2008, 2440, 4055, 4946, 5209, 6566, 7618, 643, 2047, 3080, 3582, 4561, 5515, 7095, 7992, 970, 1655, 3088, 3254, 5151, 5873, 6755, 8164, 728, 1877, 2137, 3496, 4460, 5321, 7243, 8007, 796, 1926, 2707, 3915, 4882, 5938, 7072, 7983, 310, 1183, 2215, 3278, 4254, 5902, 6240, 8140, 581, 2066, 2876, 3704, 4709, 5273, 6506, 8271, 360, 1183, 3123, 3741, 4655, 6034, 7228, 7319, 1036, 1772, 3040, 3366, 4248, 5799, 7013, 7968, 668, 1537, 2917, 3865, 4755, 6167, 6438, 7983, 668, 1193, 2869, 3704, 5049, 6118, 6566, 7560, 302, 1778, 2869, 4102, 4697, 5428, 6389, 7745, 363, 1785, 3001, 3757, 4663, 6180, 7188, 7672, 862, 1193, 3104, 3949, 4978, 6125, 6555, 7991, 360, 1550, 3091, 3282, 5086, 5693, 7030, 7549, 266, 1658, 2188, 3963, 5056, 6135, 6225, 7799, 1024, 1504, 2440, 3179, 4270, 5633, 6619, 8137, 386, 1777, 2352, 3409, 4717, 5552, 6516, 7772, 970, 2001, 2446, 3975, 4701, 5624, 7048, 7707, 1081, 1563, 3038, 3750, 5108, 5942, 6584, 8061, 1011, 1548, 2553, 3325, 4380, 5586, 7016, 8061, 942, 1251, 2592, 3870, 4196, 5942, 6625, 8222, 1064, 1323, 2210, 4093, 4543, 5699, 6840, 7776, 992, 1173, 2878, 3748, 4228, 5351, 6840, 7415, 992, 1855, 2508, 3234, 5045, 5555, 7043, 7802, 994, 1141, 2639, 4025, 4459, 6066, 6684, 7250, 1103, 1840, 3016, 3457, 4446, 6062, 7067, 8062, 1103, 1840, 2281, 3457, 5031, 5874, 6435, 8077, 992, 1339, 2137, 3457, 4221, 5874, 6360, 7555, 344, 2058, 2840, 3352, 4504, 5565, 6777, 7318, 1038, 1529, 2320, 3731, 4989, 5393, 6480, 7791, 1001, 1529, 2786, 3268, 4989, 6031, 6271, 8140, 876, 1727, 2274, 3268, 5054, 5870, 6577, 8159, 1067, 1600, 2425, 4103, 4330, 5353, 7092, 8108, 722, 1251, 2207, 3324, 5111, 5658, 6252, 8159, 547, 1550, 3060, 4087, 5031, 5471, 7100, 7660, 938, 1954, 2346, 3360, 5041, 5938, 7042, 7941, 1009, 1858, 2732, 3830, 4800, 5678, 6432, 8251, 540, 1838, 2565, 4057, 5030, 5794, 7106, 8193, 271, 1831, 2965, 3949, 4752, 5591, 7053, 7962, 1025, 2079, 2429, 3440, 4517, 5898, 7007, 8260, 1025, 1797, 2655, 4065, 4700, 5360, 6349, 7658, 424, 1797, 2946, 3540, 4622, 6050, 6630, 7664, 1090, 1858, 2582, 4114, 4334, 5824, 7084, 7421, 424, 1540, 2547, 3949, 4622, 5534, 7149, 7591, 571, 2000, 3043, 3671, 4867, 6085, 7207, 7260, 288, 1858, 2924, 3710, 4822, 5661, 7218, 7421, 804, 2068, 3098, 3982, 5073, 5883, 7207, 7641, 308, 1705, 2991, 4068, 5038, 6129, 7006, 7485, 804, 2063, 3135, 4068, 4551, 6205, 6668, 7723, 1097, 2041, 2803, 3893, 5080, 5635, 7077, 8267, 956, 1963, 2957, 4018, 4704, 6051, 6972, 7949, 818, 1508, 3065, 4071, 4622, 6123, 7201, 7641, 228, 2106, 2554, 4125, 5160, 6129, 7090, 8164, 225, 2111, 2875, 3588, 4398, 5443, 7129, 7311, 225, 1597, 2792, 3803, 4399, 5892, 7232, 7557, 518, 1570, 2554, 4149, 4844, 5677, 6668, 7677, 195, 1924, 2554, 3592, 5104, 5892, 6668, 7537, 195, 2068, 2554, 3838, 5166, 6063, 6671, 8185, 901, 2001, 3133, 3337, 4344, 5413, 6443, 7724, 272, 1399, 2251, 3399, 4737, 5317, 6749, 8031, 404, 1361, 2209, 3273, 4900, 6047, 6910, 8065, 198, 1263, 2816, 4138, 4893, 5528, 7242, 7918, 1040, 1589, 2345, 3729, 4785, 6093, 6672, 7450, 558, 1183, 2662, 3283, 4614, 5941, 6823, 7879, 641, 1334, 2458, 3864, 4961, 5812, 7138, 7648, 424, 1360, 2542, 4068, 5104, 5425, 6889, 7525, 663, 2063, 3092, 3175, 4388, 5677, 6668, 7887, 132, 1869, 3060, 4011, 4622, 5834, 6980, 7816, 132, 2088, 3128, 4071, 5038, 5475, 6653, 8188, 337, 1791, 3064, 4171, 4888, 6129, 6979, 8266, 914, 2073, 3135, 3516, 4630, 6182, 6996, 8196, 288, 1218, 3008, 3516, 5060, 5534, 7006, 8188, 440, 1889, 3007, 4089, 5145, 6218, 6901, 8171, 993, 2099, 2930, 3656, 4470, 5595, 7085, 7899, 480, 2118, 2929, 3313, 4302, 5720, 6724, 8084, 397, 1906, 3125, 3586, 4639, 6157, 6800, 8036, 722, 1112, 2883, 3995, 4459, 5702, 6548, 7767, 722, 1478, 3080, 3605, 4918, 5836, 6765, 7297, 767, 1972, 3051, 3256, 4385, 6181, 7181, 8205, 335, 1415, 2678, 3840, 4241, 5440, 6777, 7469, 391, 1275, 2581, 3316, 4991, 5950, 6908, 8078, 1025, 1797, 3007, 3642, 5194, 5713, 6850, 7716, 844, 1682, 2183, 3709, 4256, 5613, 6892, 7470, 373, 1785, 3112, 3564, 4862, 5482, 6551, 7812, 373, 1931, 3040, 4064, 5130, 5671, 7033, 8030, 1049, 1509, 3040, 3731, 4775, 5957, 6643, 7267, 942, 1439, 2340, 4125, 5003, 5982, 6820, 7770, 319, 1333, 2317, 3303, 4594, 5658, 6589, 7917, 728, 2088, 2698, 4133, 4621, 5643, 6764, 8190, 1098, 2061, 2977, 3700, 4915, 5979, 7238, 7740, 870, 2061, 2840, 3684, 4465, 5717, 6942, 7402, 870, 1192, 2999, 3416, 4976, 6012, 7174, 8199, 966, 1537, 2274, 3211, 5036, 6030, 6926, 8155, 293, 1776, 2966, 3791, 4755, 5364, 7245, 7788, 1036, 1119, 2344, 3727, 4187, 5213, 6993, 7344, 1101, 1162, 2616, 3418, 5108, 5658, 6313, 7625, 271, 1240, 2306, 3551, 4857, 5658, 7245, 7637, 575, 1496, 2260, 3360, 4949, 5422, 7139, 7576, 390, 1728, 2347, 3994, 4359, 6070, 7184, 7264, 337, 2065, 2498, 3918, 4533, 6103, 6515, 7481, 337, 2068, 3008, 3945, 5157, 5834, 7023, 7912, 617, 1874, 2839, 3749, 4762, 5677, 7149, 7250, 475, 1248, 3095, 3595, 4287, 5767, 7100, 8185, 935, 1623, 2781, 3512, 4387, 5834, 6612, 7870, 186, 2032, 2833, 3803, 4583, 6211, 6776, 8237, 488, 1528, 2781, 3803, 4630, 5241, 7201, 8185, 488, 1528, 2781, 3803, 4583, 6081, 7077, 8223, 488, 1528, 2781, 3825, 4624, 5635, 7077, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6996, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6186, 6794, 7766, 915, 1648, 2806, 3914, 4622, 5241, 7124, 8223, 555, 2111, 2740, 3391, 4870, 5550, 7006, 7717, 915, 1648, 2833, 3914, 4512, 5892, 6996, 7664, 915, 2111, 2858, 3914, 4798, 6081, 7120, 8223, 488, 1648, 2806, 3893, 4512, 6139, 7124, 8223, 915, 2017, 2833, 3391, 4798, 5550, 7207, 7766, 915, 2017, 2914, 3391, 4798, 5635, 6752, 8126, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 4, 2 ]

[ 1, 16, 54, 30, 5, 52, 69, 51, 5, 17, 62, 5, 5, 5, 53, 26, 5, 30, 45, 63, 30, 47, 63, 5, 28, 63, 17, 31, 35, 3, 201, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6186, 7124, 7766, 419, 1475, 2926, 4152, 5060, 5612, 6584, 8126, 331, 2001, 2725, 3505, 4911, 5746, 6522, 7776, 936, 1960, 2951, 3400, 4778, 5752, 6660, 8065, 839, 1728, 2951, 3831, 4709, 5930, 7096, 8060, 957, 1347, 2345, 3723, 4814, 5742, 6708, 7430, 937, 1496, 3108, 3358, 4407, 5851, 6440, 8093, 850, 1807, 2239, 3250, 4292, 5425, 7172, 7725, 204, 1995, 2983, 3901, 4214, 5749, 7114, 8269, 831, 1889, 2802, 4027, 4512, 5663, 6771, 7934, 408, 2127, 2868, 4174, 5007, 5548, 6966, 7908, 391, 1864, 2795, 3343, 4512, 5787, 6313, 8259, 104, 1962, 2345, 4083, 5092, 6200, 7151, 8230, 486, 1596, 3049, 3869, 4674, 6100, 6412, 8032, 880, 1753, 3137, 3281, 4418, 5615, 6824, 7962, 1040, 1589, 2742, 3818, 4440, 5862, 6577, 8043, 546, 2113, 2296, 3278, 4778, 5328, 6226, 7851, 957, 1183, 2911, 3263, 5129, 5259, 6359, 8257, 641, 1469, 2428, 3851, 4753, 5886, 6827, 7959, 571, 1624, 2860, 3512, 5145, 5515, 6949, 8030, 132, 1499, 2715, 3783, 4670, 5473, 7149, 7557, 132, 1232, 2960, 4121, 4512, 6204, 6713, 8083, 779, 1845, 2391, 3680, 4512, 6123, 7168, 7768, 579, 1320, 2293, 3740, 5003, 5904, 7058, 7788, 293, 1596, 2886, 3423, 4648, 5873, 6491, 7892, 878, 2118, 2792, 4011, 4679, 5639, 6302, 7962, 752, 1510, 2836, 3216, 5007, 5536, 6900, 8236, 803, 1762, 2727, 3245, 4220, 5212, 6703, 7360, 803, 1961, 2494, 3169, 4399, 5303, 6917, 7648, 531, 1266, 2635, 3245, 4539, 6073, 6873, 7705, 665, 1774, 2271, 3753, 4372, 5477, 6683, 7807, 770, 2086, 2766, 3937, 4214, 5465, 6478, 8037, 308, 1316, 2293, 4082, 5159, 5346, 6934, 7248, 984, 2028, 2293, 3240, 4728, 5599, 7065, 8077, 427, 1467, 3128, 3440, 4374, 5705, 6774, 7591, 984, 2073, 3109, 3918, 4592, 6195, 7084, 7870, 756, 1786, 2278, 3159, 4437, 5393, 7010, 7262, 899, 2068, 2278, 3232, 4565, 5780, 6444, 7563, 1056, 1141, 2899, 4115, 4931, 5218, 6899, 8077, 684, 2073, 2944, 4166, 5169, 5746, 6918, 7641, 752, 1637, 2360, 3671, 5088, 5661, 7010, 8179, 1033, 1407, 3064, 4145, 5139, 6025, 7111, 7641, 752, 1178, 2365, 3987, 4253, 5364, 7047, 7693, 866, 1312, 3003, 3442, 5171, 5646, 6969, 7534, 302, 1208, 2805, 3269, 4760, 5734, 6939, 7937, 472, 1463, 2951, 3833, 5071, 5853, 7172, 7579, 1052, 1347, 2823, 3669, 4678, 6002, 6653, 7564, 192, 1116, 2378, 3245, 4634, 5751, 6917, 8046, 261, 1586, 2384, 3690, 4269, 5870, 7126, 8171, 487, 1588, 2288, 4003, 5095, 5334, 7017, 8241, 862, 1649, 2601, 3353, 4807, 6135, 6603, 7669, 702, 1289, 2463, 4037, 4321, 5578, 6595, 7652, 153, 1944, 2944, 3819, 4780, 5792, 6810, 7869, 833, 1644, 2730, 3917, 4981, 6024, 6525, 7707, 746, 2046, 2720, 3983, 4780, 6050, 6486, 7361, 987, 1503, 2802, 3884, 4541, 5615, 6671, 7404, 650, 1556, 2218, 3227, 4734, 5421, 6603, 7752, 545, 1350, 2453, 4047, 5197, 5793, 6899, 7819, 908, 1550, 2355, 3421, 4392, 6218, 6687, 8129, 936, 1561, 2355, 3421, 5031, 5568, 6813, 7972, 936, 1550, 2355, 3421, 5031, 5379, 6900, 7555, 936, 1550, 2751, 4037, 4525, 5585, 6603, 7311, 936, 1550, 2453, 3421, 4751, 5651, 6783, 8249, 936, 1289, 2355, 3802, 4346, 5585, 6680, 7932, 918, 1350, 2751, 4003, 4800, 5576, 7087, 7385, 1019, 1676, 2453, 4125, 4804, 5553, 7007, 7793, 620, 1397, 2669, 3627, 4751, 5627, 6466, 7615, 668, 1719, 2762, 3812, 4594, 6171, 6654, 8171, 995, 1742, 2218, 3720, 4609, 5610, 6684, 7376, 165, 1476, 2129, 4003, 4775, 6002, 6399, 7673, 319, 2099, 2378, 3830, 4664, 5377, 6670, 7666, 1041, 1108, 2987, 4030, 5026, 5441, 6970, 8144, 1001, 1586, 2971, 3259, 4526, 6005, 7126, 8061, 1001, 1631, 2987, 3639, 4651, 6077, 6251, 8109, 603, 1388, 2669, 3277, 4241, 5574, 6596, 7546, 308, 1175, 2826, 4125, 4872, 5480, 6251, 7260, 552, 1684, 2946, 3413, 4276, 5433, 7130, 7962, 510, 2064, 2926, 4115, 5060, 5963, 6613, 7906, 935, 1876, 2730, 3540, 5061, 6085, 6584, 8083, 935, 1791, 2918, 3776, 4861, 6204, 7218, 7557, 818, 1847, 2838, 4085, 4622, 6195, 6979, 7949, 818, 1528, 3109, 4115, 4624, 6085, 6972, 8237, 818, 1622, 2925, 3188, 4822, 5901, 6996, 8223, 818, 2017, 3117, 3367, 4782, 6186, 7124, 7876, 818, 2017, 3095, 3893, 4624, 6081, 7201, 7806, 818, 1856, 2925, 3893, 5061, 6211, 7111, 7723, 684, 1467, 2582, 4018, 4215, 5832, 7201, 8083, 1042, 1550, 2152, 4026, 4804, 6215, 6696, 8205, 1059, 1206, 2137, 3955, 5115, 6113, 7165, 7473, 653, 1164, 2422, 3394, 5047, 5276, 6563, 7695, 487, 1956, 2453, 3417, 4966, 6180, 6919, 8034, 557, 1164, 2314, 4072, 4800, 5269, 7215, 7490, 443, 1692, 2346, 3368, 4421, 5675, 6692, 7688, 993, 1283, 2453, 3551, 4804, 6086, 6684, 7861, 845, 1561, 2791, 4027, 4358, 6117, 6705, 7286, 845, 1555, 2238, 3421, 5040, 5614, 6898, 7303, 936, 1507, 2762, 3824, 5001, 5893, 6472, 7981, 936, 1507, 2346, 3879, 4562, 5843, 6881, 8023, 814, 1533, 2429, 3314, 4446, 5734, 6564, 7957, 663, 1786, 2766, 3751, 4276, 5873, 7090, 8218, 390, 1721, 2960, 4174, 4780, 5661, 6884, 7664, 512, 1856, 2582, 4145, 4287, 6211, 6996, 8267, 779, 1831, 3095, 3231, 4215, 5219, 7030, 7631, 390, 1700, 2989, 4068, 5058, 6195, 7207, 7936, 512, 2041, 2582, 3827, 5061, 6129, 6852, 7908, 374, 1895, 2667, 3642, 4606, 5472, 6386, 7688, 891, 1825, 2655, 3797, 5020, 5904, 6945, 7454, 569, 1770, 2998, 3653, 5160, 5426, 6507, 8250, 443, 1494, 2856, 4095, 4694, 5313, 6311, 7544, 816, 2114, 2701, 3396, 4799, 5970, 6906, 7790, 964, 1742, 2905, 3493, 5036, 5349, 6631, 7913, 835, 1865, 2268, 3493, 4286, 5867, 6251, 7991, 546, 1934, 2741, 3790, 5198, 5441, 6400, 7710, 681, 1757, 2491, 3295, 4372, 5925, 6866, 7265, 493, 1653, 2549, 3869, 4731, 5790, 6299, 7376, 665, 1706, 2881, 3986, 4739, 5512, 7198, 7686, 715, 2059, 2941, 3848, 4270, 5569, 7223, 7676, 833, 1707, 2586, 4055, 4437, 5848, 7099, 8184, 1015, 1668, 3098, 3680, 4529, 5462, 7222, 8271, 309, 2028, 2309, 3904, 5095, 6148, 7220, 7796, 876, 2059, 2887, 3262, 4658, 5366, 6719, 7788, 547, 2059, 2329, 3530, 4720, 5585, 6745, 7912, 862, 1108, 2563, 3684, 4777, 6002, 6373, 7793, 730, 1934, 2378, 3943, 4552, 6132, 7051, 7500, 1017, 1354, 2848, 3968, 5010, 5794, 6670, 8171, 900, 1108, 2378, 3684, 4602, 5672, 7089, 7834, 493, 1742, 2331, 3508, 4544, 6172, 6952, 8061, 339, 1742, 2378, 4007, 4725, 5588, 7231, 8271, 917, 1586, 2609, 3287, 4751, 5441, 7234, 7930, 1017, 1361, 2378, 3624, 4229, 5747, 6733, 7921, 1017, 1665, 2378, 3913, 4275, 5490, 6224, 7331, 1017, 1669, 2410, 3850, 5134, 6217, 6662, 7305, 407, 1510, 2981, 4154, 5007, 6155, 7122, 7279, 833, 1706, 2884, 3515, 4269, 6147, 6775, 7822, 450, 1968, 2741, 3596, 4229, 6130, 6467, 7899, 403, 1454, 2775, 3873, 4387, 5212, 7084, 7631, 552, 1454, 2946, 3803, 4387, 5767, 6677, 7876, 935, 2099, 2946, 4115, 5020, 6175, 6959, 7591, 935, 1876, 3109, 3891, 5153, 6205, 6677, 7764, 859, 1110, 2834, 4071, 4828, 6163, 7077, 8267, 859, 1110, 2834, 4168, 4870, 6182, 6677, 7631, 859, 1684, 2858, 3595, 4622, 5650, 6584, 7865, 617, 1695, 2754, 3681, 5160, 6163, 6852, 7918, 356, 2111, 3007, 3851, 4229, 5766, 6547, 8262, 617, 1695, 2740, 3515, 5079, 6163, 7095, 7524, 105, 1684, 3095, 3425, 5040, 5716, 6604, 7751, 617, 1750, 2833, 3866, 5061, 5594, 6889, 8093, 617, 1750, 2138, 3277, 4622, 5624, 6515, 8262, 617, 1750, 2316, 3391, 5007, 5766, 6923, 8076, 617, 1695, 2316, 3928, 4615, 6149, 6589, 7476, 105, 1586, 2944, 4153, 5138, 6163, 7069, 7906, 617, 2111, 3064, 3332, 4512, 5218, 6256, 8236, 859, 2111, 2858, 3911, 4664, 6110, 7098, 7706, 859, 2111, 2858, 3911, 5138, 5840, 7152, 8076, 105, 2111, 2918, 3596, 5151, 5550, 7006, 7485, 4, 2 ]

[ 1, 11, 54, 5, 16, 5, 52, 39, 66, 35, 5, 54, 26, 66, 5, 16, 28, 23, 66, 5, 76, 17, 54, 5, 16, 51, 52, 11, 51, 5, 44, 54, 5, 31, 16, 5, 53, 20, 63, 54, 44, 55, 5, 43, 48, 5, 76, 11, 78, 5, 54, 45, 63, 5, 31, 16, 5, 28, 45, 52, 30, 44, 55, 5, 31, 14, 66, 5, 43, 23, 78, 30, 5, 11, 63, 53, 47, 5, 43, 33, 30, 51, 76, 21, 63, 66, 35, 78, 5, 5, 3, 201, 1528, 2781, 4174, 4704, 6129, 6953, 7485, 488, 1648, 2781, 3893, 4583, 5635, 6589, 7485, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3893, 4798, 6186, 7226, 8196, 488, 1648, 3117, 3367, 4366, 5635, 6794, 8237, 132, 1304, 3143, 3391, 5061, 6129, 6589, 7949, 402, 1318, 2715, 3940, 5155, 6093, 6677, 7729, 840, 1926, 2635, 3476, 4801, 5819, 7080, 7987, 271, 1312, 2710, 3590, 4539, 5477, 6943, 7815, 249, 1935, 2321, 3605, 4301, 5441, 7018, 8031, 386, 1388, 3020, 3650, 5073, 5934, 6648, 7477, 731, 1759, 2210, 3721, 4700, 6170, 6723, 8034, 948, 2081, 3026, 4112, 5125, 5366, 6588, 7413, 1024, 1333, 2325, 3967, 4514, 5684, 6377, 7462, 975, 1407, 2979, 4063, 5114, 5646, 6510, 7886, 363, 1669, 2876, 3386, 5018, 5934, 6901, 8134, 784, 1177, 2713, 3198, 5114, 6028, 6383, 8018, 1009, 1585, 2859, 3779, 4425, 5454, 6304, 7993, 407, 1356, 2173, 3469, 4399, 5257, 7200, 8247, 938, 1912, 2173, 4087, 4628, 5405, 6822, 8247, 938, 1199, 2173, 3253, 4805, 5257, 6287, 7449, 692, 1199, 2152, 3532, 4205, 6080, 7042, 7588, 970, 1199, 3040, 3776, 4514, 5776, 7190, 7846, 938, 1199, 2152, 3276, 5115, 5404, 6936, 8103, 1102, 1199, 2955, 3276, 5165, 6198, 6608, 7702, 731, 1880, 2258, 4128, 4225, 5995, 7114, 8145, 537, 1281, 2846, 3826, 4651, 6065, 6526, 7687, 722, 1173, 2660, 3233, 4287, 6143, 6576, 7880, 1040, 1628, 2173, 3956, 4638, 5589, 6506, 7959, 1060, 2071, 2455, 3248, 4776, 5914, 6441, 7549, 1103, 1807, 2462, 3967, 4184, 5433, 6958, 7313, 545, 1249, 2338, 3592, 4556, 5407, 7147, 8084, 902, 1550, 2312, 4095, 4855, 6135, 6897, 7501, 545, 1614, 3080, 3333, 5138, 5532, 7079, 8051, 611, 1550, 2741, 3525, 4193, 5765, 6905, 8099, 868, 1140, 2365, 3575, 4270, 6165, 6760, 7961, 103, 1423, 3147, 4085, 5189, 5263, 6466, 8022, 256, 1724, 3049, 3256, 4856, 5777, 6574, 7753, 568, 2030, 3032, 3592, 5098, 5958, 6846, 7995, 568, 1636, 2536, 3726, 4945, 6086, 7232, 7936, 893, 1695, 2156, 3167, 4813, 5594, 6761, 8088, 893, 1557, 2128, 3503, 5122, 5471, 7143, 7580, 840, 1628, 2661, 3575, 4308, 5930, 6961, 8229, 840, 1363, 2429, 4017, 5158, 5305, 6889, 8047, 1067, 1758, 2261, 3791, 4413, 6007, 7000, 7587, 993, 1510, 2627, 3217, 4672, 5784, 6834, 8137, 271, 1828, 2492, 3788, 4573, 5770, 6468, 7687, 391, 2055, 2868, 3558, 4797, 6135, 7236, 8156, 778, 2053, 2429, 3634, 4701, 6002, 6871, 7508, 104, 1399, 2261, 4145, 4334, 5652, 6850, 7941, 826, 1141, 2444, 3773, 4440, 5573, 6908, 8267, 104, 1141, 2762, 3271, 4620, 5918, 7000, 7515, 826, 1828, 2429, 3258, 5117, 5888, 6818, 7687, 104, 1141, 2943, 3264, 4762, 5512, 6521, 7410, 293, 1828, 3029, 3604, 4876, 5454, 6501, 7966, 768, 1828, 2861, 4095, 5031, 5810, 6576, 7438, 913, 1681, 2670, 3688, 4818, 5295, 6780, 7836, 91, 1609, 2365, 3514, 4552, 5870, 7074, 8169, 725, 1689, 2810, 3735, 4949, 5480, 6426, 8026, 575, 1689, 2196, 3743, 4743, 5429, 6961, 7344, 774, 1349, 2987, 3159, 4886, 5800, 6474, 7362, 815, 1653, 2987, 3965, 4901, 5345, 7024, 7263, 103, 1653, 2800, 3751, 5189, 5864, 7063, 7386, 103, 2003, 2453, 3751, 4307, 5535, 6961, 8103, 103, 1369, 2355, 3761, 4522, 6051, 7224, 8033, 1056, 1430, 2729, 4145, 4843, 6163, 6979, 7397, 663, 1945, 2944, 3982, 5044, 6073, 7017, 7811, 806, 1388, 3033, 3720, 4945, 5890, 7208, 7795, 492, 1541, 2793, 3900, 4734, 5589, 7181, 7437, 113, 1510, 2506, 3313, 5171, 5761, 6498, 8109, 211, 1777, 2293, 3481, 4781, 5663, 6668, 7831, 390, 2063, 2783, 3909, 4181, 5687, 7058, 8267, 1056, 1931, 2957, 4068, 4912, 5705, 6996, 7264, 308, 1791, 3008, 3945, 5038, 6195, 7201, 8107, 886, 1965, 2944, 3530, 5125, 5984, 7200, 7676, 736, 2048, 2137, 4130, 4760, 6100, 7217, 7279, 492, 1469, 2224, 3193, 4852, 5941, 7059, 7663, 242, 1402, 3040, 3360, 4436, 6105, 6373, 7583, 1033, 1503, 2385, 3288, 4429, 5501, 7209, 7930, 1033, 1940, 2371, 3780, 5151, 5395, 6550, 8023, 104, 1459, 2361, 4013, 4248, 5469, 6675, 7843, 776, 2079, 2974, 4067, 4637, 5811, 6979, 7596, 684, 1700, 3007, 4114, 5166, 6014, 6750, 7850, 186, 1945, 2998, 3699, 4782, 6131, 6750, 8209, 684, 1508, 2947, 3240, 4551, 5687, 7058, 7948, 308, 1873, 2254, 4068, 4888, 5219, 6852, 7992, 211, 1897, 2340, 4011, 4828, 5241, 6646, 7723, 709, 1209, 2860, 3931, 5106, 5219, 6988, 8179, 304, 1869, 2943, 3516, 4876, 5535, 6852, 7421, 750, 1919, 2396, 3201, 4533, 5702, 6918, 7421, 913, 1238, 2530, 4097, 4533, 5340, 7058, 7521, 1008, 1990, 2749, 4146, 5092, 5847, 6565, 7263, 1067, 1554, 2518, 3604, 5030, 5585, 6798, 8097, 884, 1843, 2835, 4100, 4225, 6000, 7128, 7413, 271, 1408, 2842, 3284, 4311, 5947, 7007, 7815, 887, 1682, 2194, 3826, 4738, 5752, 6674, 7512, 150, 1403, 2695, 3357, 5091, 5483, 6513, 8093, 955, 1302, 2837, 3955, 4700, 6220, 6967, 7704, 678, 1509, 2167, 3776, 4981, 6152, 6786, 7515, 802, 2102, 2429, 3761, 4621, 5535, 6615, 7535, 938, 1773, 2641, 4096, 5006, 5950, 6761, 7474, 970, 1797, 2959, 3912, 4318, 5204, 6891, 8044, 684, 1721, 3008, 4006, 5020, 5981, 6935, 7678, 186, 1945, 2803, 4041, 4551, 5630, 6891, 8266, 914, 1804, 3007, 4097, 4888, 6211, 6980, 8107, 935, 1705, 2991, 3886, 5060, 6195, 7239, 7723, 508, 1723, 2709, 3663, 4320, 5825, 6642, 8184, 485, 1157, 2886, 3515, 4814, 5306, 7155, 8125, 132, 1490, 3064, 3710, 5138, 5410, 6396, 7876, 401, 1675, 3080, 4068, 4822, 5836, 7100, 8033, 1067, 1818, 2452, 3241, 4859, 5471, 6813, 8173, 895, 1183, 2421, 3690, 4842, 5344, 6360, 7598, 465, 2050, 2495, 4146, 4652, 6118, 6360, 7360, 1066, 1183, 2623, 3940, 4661, 5621, 6414, 7681, 776, 1503, 2374, 3154, 4284, 5208, 6388, 7659, 1102, 1199, 2800, 3175, 4368, 6086, 7104, 7768, 171, 1577, 2254, 3710, 4512, 5892, 6771, 7498, 552, 1924, 2469, 3891, 5104, 6048, 7100, 7384, 956, 1791, 2340, 4108, 4888, 5534, 6786, 7949, 935, 1508, 2781, 3990, 5060, 5832, 6750, 8179, 1102, 1964, 2833, 3516, 4828, 6222, 7069, 7367, 269, 1965, 2881, 3662, 5086, 5464, 6492, 7889, 684, 1668, 2293, 3885, 5007, 5413, 6876, 7992, 716, 1566, 2293, 4061, 5188, 5677, 6778, 7718, 504, 1499, 2737, 3601, 4993, 5671, 7129, 7531, 223, 2079, 2710, 4096, 5126, 5616, 6613, 7248, 767, 1919, 2837, 3530, 5169, 5565, 7244, 8188, 731, 1778, 2440, 3310, 5114, 5539, 6254, 7555, 223, 1812, 3075, 3901, 4622, 5610, 7019, 7408, 266, 1183, 2737, 3709, 4701, 5539, 6588, 8231, 1024, 1509, 2458, 4134, 4824, 6208, 6413, 8153, 643, 2008, 2860, 4022, 5079, 6040, 6811, 7838, 955, 1637, 2315, 3987, 5061, 5694, 6884, 8076, 401, 1998, 2946, 4085, 5012, 5694, 6786, 7717, 223, 1206, 2210, 3355, 5041, 5359, 6891, 7677, 650, 1591, 2189, 4102, 4651, 6051, 7149, 7800, 955, 1688, 3144, 3246, 4781, 5424, 6866, 7677, 1033, 1167, 2860, 4151, 4586, 5265, 7218, 7768, 1101, 1315, 2802, 3813, 4350, 6009, 6770, 7387, 1025, 1823, 2894, 3492, 4529, 6111, 7086, 7846, 271, 1104, 2956, 4038, 4350, 5954, 6568, 7875, 271, 1104, 2214, 3252, 4274, 5884, 6658, 7820, 1025, 1843, 2877, 3379, 4850, 5756, 6953, 7817, 235, 1489, 2198, 3416, 4994, 5953, 6626, 7962, 770, 1919, 2480, 3685, 4456, 5684, 6579, 7462, 970, 1399, 2532, 3420, 4328, 5752, 6762, 7673, 938, 1897, 3030, 4105, 5152, 5204, 7222, 7669, 938, 1512, 2534, 3709, 4433, 5699, 6580, 7962, 1011, 1147, 3092, 3292, 5073, 5341, 7111, 7428, 1011, 1141, 2656, 3811, 4485, 5898, 6827, 8186, 390, 1269, 2439, 3644, 4630, 5981, 7149, 8261, 211, 1989, 2515, 3892, 4536, 5695, 7075, 8266, 862, 1858, 2429, 3162, 4224, 5768, 6313, 7816, 381, 1286, 2346, 3895, 5110, 5449, 7067, 8023, 221, 1842, 2498, 4007, 5017, 6220, 6321, 8268, 487, 2091, 2687, 3986, 4604, 6010, 7222, 8268, 807, 1108, 2923, 3159, 4448, 5810, 6684, 7487, 160, 2094, 2503, 3631, 4920, 6220, 6531, 7913, 778, 1685, 2563, 3669, 4829, 6111, 7244, 7954, 104, 1858, 2581, 3304, 4494, 6003, 6265, 7369, 610, 1455, 2330, 3955, 4897, 6014, 7098, 7641, 779, 1280, 2315, 3873, 5127, 5784, 6892, 7948, 1097, 1791, 2391, 3440, 4681, 5901, 6776, 7421, 510, 1847, 3135, 3990, 4849, 6131, 7006, 7876, 915, 1218, 3021, 4108, 5104, 5219, 7207, 7806, 555, 2017, 3021, 4011, 4287, 6186, 7077, 7557, 859, 1684, 2858, 4145, 5106, 6146, 7084, 7641, 859, 1695, 2971, 4071, 4782, 5981, 6589, 7831, 617, 1623, 3064, 3374, 4912, 5296, 7006, 7715, 617, 2127, 2783, 3374, 4191, 5796, 6972, 8128, 617, 1695, 3035, 3891, 4398, 5534, 6677, 8253, 617, 2127, 2941, 3391, 4918, 5635, 6752, 7557, 617, 1695, 2971, 3873, 4583, 5296, 6752, 7723, 617, 2127, 2833, 4071, 4459, 5385, 6612, 7477, 617, 2127, 3147, 3917, 4512, 5296, 7006, 8185, 617, 2127, 3144, 3550, 4512, 5764, 6291, 8061, 617, 1304, 3021, 3827, 4590, 6163, 6790, 7677, 617, 2127, 3144, 3374, 4459, 5962, 6810, 7485, 757, 2127, 2608, 3391, 5159, 5827, 6889, 8076, 617, 1695, 3141, 3277, 5060, 5981, 6515, 8236, 617, 2127, 2970, 3391, 5160, 5436, 7077, 7707, 859, 2034, 3000, 3832, 5060, 5296, 7084, 8076, 859, 1974, 3021, 3391, 4555, 5901, 7129, 7723, 555, 1623, 2858, 3827, 4555, 5677, 7124, 7715, 915, 1623, 3021, 3391, 4890, 6139, 6515, 7732, 488, 1528, 2914, 3827, 4624, 5678, 6996, 7715, 488, 1622, 3117, 3367, 4366, 6139, 7077, 8237, 216, 2127, 3149, 3391, 4871, 5548, 6972, 7918, 769, 1692, 3039, 3628, 4338, 6095, 6911, 7707, 557, 2008, 3116, 4107, 5026, 6135, 6835, 7527, 1004, 1266, 3029, 3476, 4776, 5757, 6403, 7549, 737, 1388, 2327, 3476, 4778, 5643, 6957, 7509, 920, 1820, 2267, 3689, 4321, 6130, 6803, 7996, 643, 1794, 2875, 4010, 4539, 5601, 7232, 8086, 504, 1407, 2436, 4083, 4990, 5540, 6734, 7707, 1025, 1547, 2553, 3352, 5088, 5364, 6526, 7309, 643, 1937, 2326, 3556, 5141, 5614, 7217, 7481, 887, 1937, 2389, 3540, 4512, 6008, 6702, 7563, 840, 2053, 2352, 3868, 4565, 6059, 7096, 7954, 1101, 1489, 2867, 4027, 4801, 6002, 6273, 7648, 535, 1826, 2288, 3259, 4321, 6073, 6803, 7904, 881, 1826, 2401, 3329, 4385, 5668, 6840, 7756, 576, 1323, 3130, 3329, 4845, 5954, 7118, 7843, 654, 1821, 2293, 3359, 5096, 5223, 6348, 8184, 228, 1194, 2419, 3933, 4611, 5749, 6734, 8107, 518, 1963, 2904, 3332, 5115, 6048, 6371, 7906, 256, 1269, 2924, 3838, 4898, 5883, 7181, 7906, 1056, 2125, 3144, 3516, 4665, 5590, 7239, 7683, 211, 1867, 2940, 4108, 5058, 5514, 7168, 7677, 104, 1717, 2750, 3298, 4906, 5637, 6603, 8179, 271, 1350, 3033, 3756, 4810, 6063, 7135, 8156, 271, 1915, 3080, 3205, 4872, 5325, 7207, 7815, 271, 1269, 2144, 3233, 4636, 5613, 6592, 7628, 807, 1794, 2210, 3356, 4343, 5250, 6870, 7554, 314, 1550, 2594, 3936, 4701, 5745, 7065, 7904, 1004, 1550, 2357, 3286, 4724, 5880, 6828, 7442, 784, 1550, 3005, 3476, 4995, 5344, 6530, 8129, 1101, 1550, 2940, 3329, 4934, 5382, 6298, 8189, 314, 1550, 2607, 3888, 4244, 5792, 6575, 7669, 1080, 1550, 2940, 3270, 4553, 6050, 6573, 7862, 668, 1400, 2731, 3796, 5111, 5890, 7129, 7965, 1088, 1832, 2814, 3376, 4468, 5671, 6623, 7983, 668, 1305, 2953, 3264, 4280, 5787, 7102, 7490, 862, 1301, 2222, 3601, 4740, 5664, 7079, 8254, 678, 1828, 3146, 3992, 5125, 5643, 6724, 7884, 512, 1509, 2210, 3420, 4615, 5404, 6346, 8126, 304, 1833, 2925, 3886, 5159, 5850, 6525, 7528, 613, 1933, 3150, 3702, 5120, 5706, 6225, 8130, 1024, 1879, 2667, 3736, 4784, 6107, 6433, 7853, 98, 1828, 3119, 4066, 4786, 5787, 7143, 7737, 315, 1828, 2603, 4102, 4873, 5774, 7159, 7862, 1016, 1269, 2330, 3809, 4277, 5793, 6414, 8156, 684, 1637, 3150, 3440, 4287, 5883, 6809, 7720, 512, 1509, 2960, 4115, 4822, 5738, 7201, 8080, 804, 1508, 3043, 3188, 5166, 5883, 6852, 7421, 684, 1804, 2960, 3932, 4287, 5635, 6996, 8179, 684, 1773, 2781, 3990, 4782, 5241, 6996, 7723, 857, 1964, 2598, 4098, 4983, 6103, 6616, 7716, 731, 1510, 2304, 3564, 5150, 5573, 7039, 8006, 862, 1411, 2732, 3298, 4278, 5613, 6715, 7712, 266, 1570, 2282, 3331, 4854, 5906, 6470, 8156, 465, 2033, 2566, 3309, 4859, 6015, 7043, 7873, 884, 1302, 2271, 3161, 4933, 5640, 6853, 8126, 725, 2118, 2642, 3167, 5115, 5608, 6699, 7442, 840, 1596, 2452, 3227, 5050, 5512, 7162, 7718, 504, 2043, 3040, 4027, 4708, 5408, 6241, 8227, 1025, 1183, 2312, 3537, 4776, 6168, 6546, 7341, 271, 1199, 2728, 3276, 4621, 5740, 6456, 7349, 643, 1943, 2642, 3183, 4595, 5928, 6466, 7861, 1090, 1912, 2766, 4165, 4185, 5824, 6730, 7545, 1090, 1660, 2842, 3734, 4930, 6058, 6702, 7355, 390, 1141, 2895, 3866, 5145, 5360, 6337, 7770, 691, 1773, 2156, 3692, 4365, 6210, 6564, 7816, 104, 1139, 2261, 3426, 4576, 5893, 7066, 7917, 993, 2118, 2128, 4143, 4855, 5441, 6255, 8114, 993, 1286, 3003, 4106, 5110, 5870, 6663, 7904, 1029, 1942, 2464, 3952, 4635, 5689, 6923, 7904, 643, 1808, 2661, 3968, 4927, 5482, 6915, 8129, 1081, 1858, 3053, 3679, 5138, 5276, 7118, 7515, 304, 1812, 2946, 3975, 4622, 6084, 7222, 7641, 504, 1637, 2436, 3655, 4751, 6068, 6467, 7582, 386, 1286, 3053, 4103, 4791, 5745, 7048, 7572, 271, 1141, 2502, 3928, 4901, 6205, 6830, 7293, 150, 1858, 2357, 3188, 4617, 5865, 6850, 8245, 288, 1919, 2946, 3870, 4845, 6123, 6961, 8245, 308, 2000, 3008, 3917, 4287, 5873, 6972, 7570, 833, 2098, 2730, 3983, 5115, 5942, 6443, 8261, 952, 1956, 2381, 3904, 4633, 6120, 6966, 7625, 888, 2048, 2352, 3794, 4305, 5792, 6675, 7476, 458, 1966, 2309, 3238, 4604, 5322, 7188, 8230, 137, 1816, 2436, 3483, 4455, 6119, 6539, 7983, 247, 1510, 2689, 3778, 4843, 5792, 7079, 8132, 247, 1636, 2474, 3928, 4339, 5739, 6692, 7574, 1102, 1472, 2470, 3481, 4855, 6133, 6493, 7785, 105, 1945, 2642, 3965, 5124, 5596, 6930, 7260, 183, 1789, 2436, 3206, 5143, 5966, 6771, 8164, 617, 1945, 2953, 4097, 4828, 5984, 7010, 7828, 153, 1963, 2560, 3596, 4420, 5436, 6659, 7716, 757, 1386, 2970, 3277, 4276, 5746, 6634, 7563, 579, 1635, 3064, 4168, 4983, 5436, 6716, 7716, 579, 2097, 2469, 4166, 4229, 5296, 6708, 8004, 153, 1468, 3038, 4145, 4980, 5436, 6612, 7602, 223, 2045, 2424, 3945, 4551, 6123, 7098, 8031, 840, 2121, 2655, 3737, 5088, 5719, 6937, 8183, 611, 1689, 3094, 3264, 4543, 6107, 6805, 7529, 840, 1252, 2827, 3325, 4775, 5362, 6964, 7364, 262, 1566, 3091, 4082, 4639, 6124, 6458, 7583, 1029, 1689, 2999, 3298, 4208, 5947, 7216, 8233, 1067, 1689, 2785, 4073, 5126, 5254, 7118, 8154, 895, 1140, 2330, 3656, 4915, 5632, 6916, 8032, 1066, 1867, 2234, 3463, 4755, 5941, 7041, 7606, 1029, 1151, 2234, 3358, 4946, 5443, 6814, 7633, 104, 1854, 2790, 3169, 4664, 5671, 6929, 7705, 887, 1983, 2389, 3298, 4751, 5801, 6907, 8062, 150, 1388, 2873, 3268, 4369, 5233, 6933, 8078, 840, 1871, 3064, 3869, 4337, 6002, 6791, 7865, 840, 1871, 2601, 3869, 4321, 5953, 7118, 8086, 826, 2059, 2648, 3741, 4413, 5886, 7032, 8011, 826, 2059, 2793, 3475, 4708, 6178, 6224, 8006, 993, 1820, 2429, 3521, 4321, 5640, 6897, 8016, 1025, 2055, 2163, 3582, 5031, 5212, 6654, 7796, 1025, 1129, 2688, 3943, 5096, 5810, 6241, 7535, 225, 1489, 2870, 3599, 4364, 5684, 6820, 8133, 228, 1139, 2373, 3749, 4580, 6086, 6840, 7810, 228, 1915, 2181, 3961, 5031, 5248, 6648, 7715, 789, 2000, 2838, 3391, 4764, 6195, 6589, 7732, 789, 2078, 2941, 3516, 4583, 5677, 6677, 8260, 256, 1620, 3144, 3790, 4925, 5515, 6612, 7386, 641, 1826, 2980, 3732, 4834, 5811, 6740, 8114, 1008, 1865, 2873, 3155, 4335, 6171, 6256, 7878, 494, 1522, 2540, 3492, 4951, 5465, 7001, 7892, 655, 1686, 2790, 3793, 4327, 6018, 6942, 7803, 643, 1312, 2520, 3430, 4367, 5643, 6679, 8036, 840, 1205, 2790, 3354, 4801, 5919, 7059, 8112, 840, 1205, 3151, 3688, 4591, 5954, 6415, 7785, 536, 1919, 2670, 3995, 4248, 5569, 6519, 7362, 113, 1248, 3061, 3702, 5195, 5474, 6801, 7678, 826, 1937, 2613, 3404, 4364, 5700, 6686, 7424, 465, 1609, 2701, 3622, 4774, 5713, 6929, 7815, 465, 1145, 2304, 4098, 5109, 6023, 6603, 7904, 104, 1462, 2813, 4061, 4636, 5633, 6663, 8157, 1025, 1797, 2427, 3233, 4942, 5431, 7109, 7898, 826, 1935, 2534, 3537, 4415, 5818, 6382, 7729, 826, 1141, 2994, 3962, 4622, 5590, 7239, 7664, 993, 1601, 2429, 3192, 4270, 5210, 6885, 7584, 884, 1494, 3075, 3788, 4780, 5202, 6847, 8078, 1025, 1494, 2454, 4145, 4942, 5325, 7232, 8236, 271, 1633, 2315, 3580, 4942, 6163, 6270, 8221, 1025, 1808, 2766, 3205, 4565, 5366, 6592, 7401, 1090, 1494, 2750, 3352, 5084, 6122, 6393, 7481, 844, 1858, 2203, 3999, 4902, 5325, 6706, 7891, 844, 2125, 2946, 4076, 4835, 5797, 6550, 8012, 857, 1850, 2432, 3358, 4220, 5836, 6260, 7908, 952, 1564, 2435, 4016, 4860, 6051, 6663, 7559, 1102, 1224, 2332, 3792, 5083, 5981, 6270, 8238, 1052, 2052, 3033, 3380, 4344, 5928, 6291, 7873, 271, 1916, 2381, 3770, 4307, 6040, 7156, 7638, 271, 1971, 2839, 3440, 4759, 5519, 6717, 7962, 807, 1794, 2591, 3329, 4686, 5815, 7129, 7743, 1056, 1492, 2730, 3994, 5184, 5396, 6842, 7383, 804, 1660, 2912, 3918, 4630, 5219, 6349, 7918, 804, 1791, 3043, 3982, 5104, 6007, 6972, 8195, 356, 1636, 2340, 3963, 4374, 5944, 6876, 7716, 510, 1750, 2895, 4018, 4890, 5832, 6776, 7485, 186, 1945, 3095, 3803, 5038, 6182, 7004, 8195, 935, 1791, 2164, 4114, 4798, 5340, 6996, 7723, 984, 1648, 2960, 3645, 4630, 6186, 6852, 8107, 110, 1139, 2265, 3987, 4374, 5869, 7132, 7764, 475, 1998, 2340, 3914, 5060, 5832, 7207, 8076, 308, 2032, 2340, 4018, 4215, 6182, 6810, 7591, 650, 2005, 2381, 4150, 4966, 5677, 6613, 8267, 993, 1255, 2444, 3681, 4841, 5445, 6981, 7881, 1008, 1753, 2998, 3602, 4364, 5707, 6517, 7976, 1008, 2070, 2203, 3856, 4476, 5570, 6293, 8046, 1024, 1581, 2198, 3755, 5091, 5858, 7061, 8224, 271, 1179, 2693, 3634, 4511, 5350, 7166, 7792, 610, 1152, 3032, 4168, 4788, 5408, 6945, 7288, 970, 2036, 3150, 3929, 4468, 6171, 6968, 7768, 1011, 1146, 2383, 3605, 5020, 5572, 6830, 8213, 981, 1878, 2142, 3709, 4289, 5986, 6430, 7869, 537, 1797, 2803, 3582, 4912, 5994, 6620, 7876, 833, 1139, 2352, 3983, 4780, 5950, 7019, 7448, 981, 1930, 2878, 3727, 4993, 5608, 6741, 8139, 547, 2107, 2656, 4064, 4720, 5713, 6850, 7457, 569, 1415, 3075, 3237, 4644, 5487, 6463, 8046, 1024, 1275, 2656, 4094, 4251, 5344, 6590, 7508, 547, 2063, 2656, 3653, 4604, 6147, 6934, 7978, 862, 1932, 3116, 4030, 4562, 5899, 6413, 7312, 271, 1640, 2759, 3216, 4946, 5926, 6856, 7528, 1057, 2055, 2548, 3580, 4483, 5926, 6966, 7899, 1057, 1206, 2883, 3967, 4321, 5429, 7083, 7610, 778, 1755, 2734, 3669, 4542, 5318, 7019, 7955, 610, 2053, 3026, 3967, 4321, 5944, 7041, 7868, 613, 1628, 2933, 3765, 4346, 6168, 6728, 7286, 317, 1749, 3116, 3776, 4541, 5843, 6883, 7986, 228, 1821, 2480, 3749, 5005, 5276, 6453, 8012, 228, 2111, 3040, 4125, 4844, 6113, 6357, 8132, 518, 1749, 3062, 4074, 4912, 5219, 6612, 7919, 518, 1826, 3133, 4092, 5104, 5221, 6414, 7494, 228, 2111, 2803, 4125, 4513, 5865, 7114, 7537, 543, 1623, 3110, 3518, 4870, 5705, 6988, 7876, 859, 2111, 3064, 3595, 4918, 5705, 6889, 8267, 201, 1528, 2833, 3825, 4782, 6139, 7077, 8147, 915, 2017, 2806, 3825, 5080, 6081, 7077, 8260, 915, 2017, 2164, 3825, 4624, 6139, 6794, 8196, 915, 2017, 2914, 3893, 4798, 5635, 6794, 8196, 915, 1648, 2806, 3827, 4387, 5981, 6752, 7766, 555, 1648, 2970, 3827, 4822, 6163, 7120, 7664, 555, 1750, 2833, 4071, 4387, 5981, 7226, 8223, 555, 1648, 3021, 3374, 5159, 5844, 6996, 7949, 915, 2017, 3021, 3374, 4985, 5635, 6794, 7732, 915, 1623, 2164, 3825, 4890, 5901, 6752, 8261, 915, 2017, 2833, 3893, 4798, 6186, 6677, 8196, 915, 1622, 3021, 3825, 4870, 5635, 6996, 8196, 4, 2 ]

[ 1, 76, 69, 30, 5, 28, 48, 5, 11, 54, 5, 31, 16, 5, 17, 31, 35, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1528, 3006, 3188, 4624, 6081, 7201, 8185, 818, 1648, 2806, 3825, 4888, 6081, 7239, 7949, 955, 1827, 3043, 3516, 5060, 6085, 7077, 7715, 1033, 1721, 2985, 3826, 5075, 6051, 7218, 7764, 104, 1591, 2198, 3981, 4256, 5995, 6609, 7386, 776, 1146, 2587, 3453, 4179, 5305, 6967, 8258, 1080, 2048, 2966, 3869, 5110, 5902, 7235, 7591, 1036, 1897, 3092, 3868, 4595, 6135, 6751, 7675, 569, 1141, 2974, 4021, 4547, 6082, 6224, 7957, 91, 1331, 3075, 3575, 4745, 5382, 6740, 7693, 1099, 1540, 2980, 3891, 4289, 5534, 7239, 7908, 1056, 2125, 3007, 4152, 5058, 6205, 6589, 7948, 684, 2046, 3006, 3680, 4630, 5534, 7090, 7421, 1056, 2125, 3095, 3990, 5166, 6123, 6709, 8107, 684, 2046, 2947, 3710, 5104, 6146, 7168, 8195, 709, 2020, 2960, 3671, 4822, 6081, 7239, 7485, 1088, 1540, 2720, 3832, 4191, 6166, 7006, 7778, 424, 1186, 3098, 3188, 4691, 5436, 6302, 7435, 952, 1942, 2741, 3593, 4231, 5578, 7169, 7559, 986, 1397, 2453, 3695, 5001, 5500, 7043, 7288, 582, 2034, 2610, 3413, 4576, 5935, 7136, 7815, 902, 1289, 2751, 3756, 4392, 5934, 6458, 8118, 487, 1858, 2345, 3358, 4636, 5633, 7229, 7865, 582, 2059, 2369, 3939, 4433, 5810, 6913, 8085, 708, 1289, 2480, 3904, 4710, 5478, 6775, 7852, 643, 1397, 2601, 3823, 4374, 6201, 7140, 7865, 620, 1164, 3053, 3332, 4579, 6207, 6348, 8077, 952, 1636, 2298, 3623, 4379, 5935, 6676, 8238, 584, 1507, 2871, 3999, 4945, 6080, 6372, 8266, 508, 2118, 2580, 3524, 5031, 5928, 6774, 7675, 508, 1687, 3040, 3910, 5170, 5325, 7156, 7581, 508, 1146, 2316, 3902, 5134, 5471, 6619, 7678, 1067, 1901, 3040, 3350, 4886, 5640, 6907, 8019, 547, 1898, 2232, 3988, 4764, 5835, 7181, 7930, 692, 1926, 2357, 3313, 4661, 6128, 6798, 7966, 692, 2107, 2173, 3883, 5151, 5923, 6278, 8033, 692, 1183, 2520, 3688, 5054, 6084, 6870, 7821, 970, 1685, 2771, 4167, 4592, 5923, 6494, 7428, 1090, 2107, 2794, 4078, 4788, 6181, 6885, 7899, 778, 1141, 2693, 3488, 5129, 5512, 6377, 7548, 663, 1962, 2436, 3789, 4353, 6080, 6840, 7476, 1047, 1363, 2440, 4145, 4372, 6080, 7132, 7275, 980, 2068, 2940, 4005, 4565, 5705, 6514, 7539, 620, 1171, 2923, 3662, 5110, 5660, 6991, 8195, 702, 1283, 2402, 3971, 5098, 5971, 6348, 8109, 1080, 1550, 2692, 3292, 4804, 5538, 6560, 7576, 487, 1397, 2470, 3679, 4720, 5671, 6518, 7442, 995, 1550, 2817, 3714, 4340, 5782, 6354, 7560, 986, 1545, 2751, 3764, 4213, 5995, 6924, 7744, 487, 1978, 2346, 3687, 4969, 5751, 7143, 8109, 986, 1397, 3091, 3913, 4900, 5935, 6816, 7968, 668, 2107, 2529, 3631, 5023, 5800, 6803, 8048, 938, 1675, 2751, 3844, 4697, 5719, 7033, 7288, 693, 1146, 2487, 3246, 4709, 5308, 6771, 7702, 1017, 1503, 2429, 3714, 5176, 6034, 7198, 7817, 666, 1301, 2271, 3210, 4766, 6034, 6605, 8117, 1050, 1199, 2486, 3939, 4364, 5648, 6672, 8000, 494, 1706, 2520, 4004, 4949, 6218, 6910, 7740, 1063, 1470, 3010, 3218, 5149, 5974, 6828, 7478, 940, 1463, 2593, 3665, 4834, 5443, 6812, 8132, 684, 1664, 2980, 4113, 4374, 5340, 7023, 7908, 984, 2041, 3026, 3206, 5139, 5437, 7218, 7715, 715, 1705, 3109, 4166, 4762, 6076, 6904, 8262, 489, 1467, 2925, 3596, 5058, 5844, 6295, 7855, 643, 1507, 2386, 3986, 4529, 5623, 7119, 7827, 888, 2059, 2944, 3878, 4459, 5341, 6364, 8252, 725, 1108, 2763, 3357, 5101, 6168, 6738, 8117, 913, 1609, 2436, 3434, 4743, 5687, 7165, 7317, 296, 1510, 2553, 3434, 5019, 6088, 6230, 7513, 827, 2048, 2952, 4025, 5050, 5537, 6790, 7647, 725, 2114, 2758, 3926, 4833, 5352, 6937, 7478, 913, 1108, 2800, 3456, 4513, 5926, 7128, 7336, 643, 1742, 2903, 3434, 4939, 5527, 6536, 7448, 265, 1354, 2741, 3939, 5070, 5432, 6614, 7994, 403, 1876, 2741, 3284, 4778, 5660, 6740, 7754, 684, 1623, 2959, 3603, 4533, 5548, 6604, 7966, 1097, 1623, 3147, 3891, 5050, 5684, 7111, 7716, 186, 1945, 2949, 4168, 4513, 6182, 6630, 7831, 201, 1528, 2164, 3825, 4888, 5705, 7077, 8223, 818, 2017, 2781, 3803, 4624, 5635, 7226, 8223, 488, 1528, 2806, 3803, 4704, 6081, 7226, 8223, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 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, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 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, 57, 5, 5, 5, 77, 33, 64, 5, 5, 5, 30, 33, 75, 16, 52, 5, 16, 54, 30, 5, 20, 52, 5, 5, 5, 77, 33, 64, 5, 5, 5, 30, 33, 75, 16, 52, 5, 16, 54, 30, 5, 20, 52, 5, 5, 5, 65, 48, 5, 33, 51, 56, 30, 5, 5, 3, 488, 2017, 3117, 3914, 5166, 5901, 7124, 8147, 450, 1874, 2356, 3918, 4981, 5245, 6709, 7764, 453, 1992, 3108, 4125, 5053, 5267, 6776, 7984, 453, 1468, 2860, 3394, 5083, 5492, 6755, 7253, 401, 1898, 2238, 4147, 4953, 5656, 7047, 8170, 761, 1469, 2845, 4103, 4546, 5365, 6277, 7958, 1024, 1183, 2692, 3801, 4327, 6018, 7031, 7908, 1024, 1183, 2653, 3737, 4664, 5244, 7146, 7632, 1024, 1775, 2407, 4047, 4513, 5787, 6521, 7660, 1024, 1535, 2808, 3394, 4755, 5778, 6477, 7718, 1024, 1499, 2692, 3616, 4558, 5864, 6650, 8262, 643, 2035, 2783, 3685, 5151, 6120, 7197, 7750, 887, 1335, 2985, 3885, 4803, 5643, 6711, 7686, 1090, 1350, 2659, 3176, 4803, 5351, 7018, 8005, 1071, 1972, 2798, 3614, 4531, 5910, 6858, 7955, 678, 1407, 3092, 3430, 4189, 6050, 6898, 7248, 1037, 1485, 2573, 4096, 5038, 5892, 6972, 8076, 980, 1777, 2924, 3886, 5058, 5705, 6988, 7908, 779, 1623, 2381, 3671, 4622, 5543, 7170, 7677, 731, 1716, 2938, 3861, 4882, 5934, 6333, 7959, 401, 1674, 2336, 4155, 4966, 5516, 6613, 7641, 211, 1808, 2454, 4103, 4206, 5975, 7049, 7636, 160, 1829, 2826, 3968, 4258, 5500, 6680, 7736, 807, 1227, 2780, 3410, 4215, 6009, 6944, 8266, 613, 1914, 2946, 4096, 4939, 5745, 6433, 8010, 613, 1809, 3064, 3410, 4725, 6006, 6671, 7899, 613, 1948, 2480, 3996, 4916, 5880, 7030, 8118, 613, 1439, 2355, 3810, 5100, 5456, 6900, 8048, 115, 1862, 2979, 3316, 4582, 5360, 6736, 7865, 346, 1120, 2208, 3648, 4367, 6128, 7073, 7404, 769, 1120, 2617, 4037, 4440, 5939, 6837, 7873, 234, 1756, 2304, 4037, 4796, 5468, 6387, 7411, 1065, 1378, 2922, 4037, 5026, 5940, 6623, 7457, 962, 1104, 2654, 4095, 4707, 5300, 6724, 7773, 1030, 1400, 2856, 3854, 4312, 5837, 7126, 7313, 480, 1526, 2297, 3276, 4712, 6167, 6696, 7248, 1006, 1104, 3048, 3934, 4497, 6145, 7035, 7799, 853, 1300, 2333, 4075, 4972, 5769, 6530, 7816, 448, 1156, 2829, 3297, 4176, 5819, 7103, 7312, 216, 1287, 2881, 4149, 5125, 5550, 7053, 8264, 211, 1224, 2715, 3851, 4229, 5219, 6270, 7429, 1037, 2034, 3062, 3885, 4856, 5585, 6859, 7598, 709, 1905, 2984, 3777, 4339, 5498, 6774, 7396, 804, 1961, 2880, 3188, 4828, 5296, 6671, 7262, 105, 1684, 2356, 3188, 4861, 5574, 6830, 8099, 183, 1851, 3052, 3850, 4732, 5832, 6371, 7477, 518, 1300, 2942, 4137, 5053, 5844, 6984, 7615, 518, 2127, 3040, 3838, 5143, 5556, 7114, 8025, 225, 1851, 2805, 3555, 4715, 5520, 6958, 7649, 195, 1461, 3133, 3227, 4859, 5908, 6798, 8132, 518, 1585, 2791, 3931, 5135, 5436, 6607, 7480, 654, 1876, 2880, 3394, 4681, 5241, 6701, 8261, 518, 2061, 2692, 3646, 5075, 5472, 7160, 8118, 518, 1898, 3133, 3798, 5053, 6216, 7090, 8261, 518, 2127, 2880, 3873, 5159, 5218, 7132, 8179, 518, 1648, 2554, 3555, 5168, 5372, 6612, 7799, 568, 1961, 2221, 3376, 4852, 5963, 7207, 7664, 256, 1623, 3133, 3681, 4297, 6137, 6612, 7602, 183, 1575, 2918, 4125, 5075, 6137, 6612, 7732, 552, 1826, 2839, 3595, 4780, 5515, 7160, 7865, 555, 1684, 3064, 4174, 5079, 5811, 7090, 8126, 915, 2111, 3065, 4145, 4704, 5677, 6688, 7865, 915, 2017, 2806, 3595, 4859, 5241, 6338, 7715, 915, 2017, 2806, 3893, 4859, 5677, 6996, 7715, 488, 1528, 3065, 3825, 4624, 6139, 7077, 8147, 488, 1528, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 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, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 956, 1705, 2164, 3893, 5038, 5241, 6794, 8267, 335, 1717, 2971, 3226, 5139, 6129, 6612, 7949, 752, 1683, 2779, 3975, 5011, 6171, 6883, 7816, 955, 1721, 2771, 3440, 4215, 5216, 7168, 7720, 304, 2121, 2925, 4166, 4630, 6056, 7207, 7485, 390, 1280, 2503, 4145, 4533, 6211, 6809, 8185, 308, 1675, 2436, 3566, 4912, 5901, 6809, 7985, 663, 1540, 2313, 4145, 4630, 5832, 6774, 8266, 882, 1695, 3091, 3960, 4906, 5521, 6689, 8205, 807, 1458, 2725, 3260, 4501, 5607, 6560, 8009, 557, 1695, 2384, 4072, 4800, 5552, 6660, 7430, 683, 1397, 2951, 3437, 4716, 6117, 6821, 7531, 994, 1677, 3078, 3446, 5074, 5323, 7067, 8050, 996, 2100, 2750, 3609, 4205, 5745, 6745, 7796, 1101, 1526, 2486, 3623, 4595, 5609, 6447, 7578, 884, 1828, 2141, 3986, 5124, 5370, 6755, 7398, 1103, 1301, 2610, 4002, 4205, 5393, 6672, 7881, 876, 1407, 2741, 3373, 5084, 6204, 6883, 8068, 1081, 1582, 3020, 3341, 4747, 5538, 6871, 8257, 1056, 1407, 2996, 3605, 4198, 6171, 6750, 8085, 1056, 1467, 3110, 4143, 5155, 5543, 7111, 8266, 756, 1620, 2944, 3951, 5134, 6156, 6607, 7959, 645, 2008, 3108, 3890, 4808, 5837, 7112, 7886, 923, 1582, 3121, 4126, 4588, 5865, 6511, 7604, 643, 1968, 2710, 4168, 4727, 5220, 7192, 7534, 545, 1180, 2713, 4137, 5181, 6117, 6252, 7620, 371, 1768, 2173, 3623, 5188, 5606, 7073, 7791, 1024, 1693, 2253, 3718, 4656, 5223, 7030, 8244, 265, 2050, 2890, 3623, 4208, 5408, 7033, 8143, 235, 2066, 2861, 4050, 4518, 5223, 6681, 7778, 508, 1538, 3123, 3159, 4399, 5224, 6920, 8033, 1024, 1129, 2977, 3700, 4395, 5650, 6980, 8046, 386, 1440, 3140, 3910, 4963, 5856, 7078, 7827, 845, 1469, 2281, 3693, 4811, 5643, 7078, 8238, 970, 1880, 3040, 3906, 4518, 5332, 6878, 8055, 582, 1407, 3123, 3450, 5050, 5403, 7150, 7271, 725, 2050, 2890, 3276, 4181, 6080, 6409, 7626, 1101, 1469, 2439, 4073, 4789, 6010, 6343, 7974, 363, 1440, 2345, 3836, 4572, 5976, 6700, 7394, 1100, 1603, 2933, 3168, 4542, 5208, 6581, 7627, 161, 1337, 3040, 3192, 4999, 5506, 6680, 7756, 835, 2011, 2286, 3238, 4357, 6179, 6485, 7740, 161, 1710, 2992, 3674, 4597, 6002, 6775, 8035, 584, 1881, 2951, 3468, 4466, 5233, 6651, 7981, 407, 1944, 2346, 4034, 4386, 5621, 6262, 7816, 646, 1706, 2562, 3899, 4338, 5441, 6667, 7369, 487, 2117, 2856, 4137, 4717, 5934, 6293, 7702, 424, 1275, 2378, 3727, 5120, 6146, 6671, 7386, 104, 1721, 2924, 3955, 4795, 5719, 6605, 7916, 104, 2079, 2258, 3949, 5151, 5765, 6755, 7664, 993, 1717, 2440, 4137, 4826, 5385, 7168, 7720, 778, 1758, 2716, 4137, 4533, 5595, 6437, 7948, 104, 1758, 2709, 3776, 4512, 6191, 6677, 7892, 737, 1337, 3066, 3323, 4226, 5456, 6541, 8188, 1019, 2043, 3003, 3169, 5081, 6042, 6883, 7394, 326, 1589, 2173, 3991, 5091, 5729, 6502, 7592, 368, 1205, 2483, 4126, 4550, 5636, 6847, 7710, 277, 1205, 2662, 3288, 4855, 5668, 6586, 7839, 277, 1205, 2786, 3508, 4552, 5668, 7187, 7937, 917, 1205, 3146, 3567, 4621, 5729, 6487, 8046, 736, 1205, 3126, 3482, 4310, 5551, 6614, 7721, 1001, 1348, 2248, 3326, 4298, 5729, 6866, 7303, 917, 2053, 2844, 3357, 4672, 5722, 7173, 8057, 736, 1205, 2239, 3847, 4591, 5960, 6403, 7404, 917, 2066, 2951, 4053, 4997, 5933, 6535, 7466, 123, 1900, 2690, 3536, 4994, 5606, 6883, 7527, 736, 1129, 2700, 3515, 4298, 5551, 6681, 7930, 917, 1297, 2951, 3357, 4997, 5814, 6942, 7405, 333, 1297, 2425, 3434, 5123, 5912, 6672, 8206, 888, 1297, 2425, 3371, 4205, 5466, 6874, 7793, 123, 1440, 2425, 3885, 4911, 5254, 6670, 7793, 333, 2066, 2966, 3880, 4214, 5279, 6886, 7758, 888, 1440, 2638, 3735, 5158, 5733, 7031, 7254, 265, 1167, 2695, 3432, 4321, 6158, 7208, 8222, 504, 1693, 2445, 3235, 4656, 5894, 7126, 7873, 265, 1543, 2286, 3718, 4211, 6101, 6723, 7985, 235, 1880, 2307, 3525, 5129, 5746, 7166, 7588, 643, 1974, 3070, 4081, 4893, 5710, 6466, 7453, 970, 1469, 2713, 3910, 4868, 5894, 6403, 7889, 970, 1861, 2882, 3623, 4511, 5995, 6587, 7682, 504, 1469, 2731, 3763, 4682, 6013, 6822, 7951, 970, 1992, 2985, 3313, 4507, 5345, 6807, 7814, 504, 1469, 2581, 4095, 4705, 5540, 6765, 8262, 1024, 1469, 2865, 3953, 4529, 5939, 6711, 7533, 1024, 1110, 2681, 3882, 4873, 5829, 6442, 7675, 678, 1992, 2287, 3700, 4512, 5513, 6620, 7911, 678, 1940, 3015, 3602, 4573, 5601, 6688, 7312, 684, 1175, 3143, 3374, 5129, 5705, 7047, 7570, 1097, 1523, 2493, 3188, 5106, 5901, 6857, 7311, 512, 1675, 3007, 4114, 5129, 5705, 6630, 7631, 914, 1998, 3098, 3681, 4558, 5883, 6786, 8267, 956, 1675, 2991, 3990, 4888, 6195, 7058, 7720, 956, 1675, 3095, 3710, 4980, 5687, 6709, 7782, 1097, 2017, 2746, 4085, 5061, 6195, 6979, 7723, 818, 1528, 2167, 3803, 4822, 5241, 6752, 7641, 818, 2017, 3117, 3367, 4888, 6081, 6709, 8260, 488, 1528, 2164, 4018, 4704, 6139, 7226, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7124, 8196, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 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, 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, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 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, 915, 1648, 2164, 3367, 5138, 5901, 7226, 8237, 789, 1804, 2554, 3916, 5138, 5811, 6840, 7865, 650, 1311, 2440, 3394, 4384, 5515, 6595, 7248, 825, 1289, 2817, 3472, 4807, 5507, 6864, 7930, 825, 2079, 2346, 3421, 4775, 6187, 6603, 7656, 448, 1915, 2346, 4172, 4636, 6177, 6824, 7488, 448, 2071, 2787, 3337, 4351, 6073, 6275, 7538, 448, 1948, 2946, 3996, 4350, 5594, 6224, 7248, 545, 1858, 2579, 3421, 4743, 6044, 6267, 8226, 986, 1707, 2453, 3472, 4665, 6077, 6628, 8134, 1004, 1782, 2148, 4037, 4320, 5640, 6614, 8048, 737, 1779, 2415, 3711, 4588, 5988, 6617, 7442, 995, 1948, 2380, 3777, 4533, 6096, 6701, 7401, 662, 1280, 2872, 3686, 4224, 5411, 6659, 8150, 662, 1853, 2890, 3851, 4329, 5246, 6724, 7586, 620, 2099, 3099, 3863, 4926, 5809, 6885, 7810, 613, 1651, 2856, 3305, 4658, 5939, 6803, 7365, 274, 1120, 3125, 3530, 4791, 5603, 6564, 7973, 970, 1679, 2453, 3969, 4696, 5687, 7198, 7764, 513, 1847, 3123, 3969, 5143, 5277, 6255, 7256, 453, 1237, 2754, 4037, 4671, 5650, 6292, 7673, 453, 1675, 2992, 3509, 5113, 6070, 6671, 7936, 440, 1280, 3139, 4026, 5083, 5597, 6840, 7490, 518, 1593, 3064, 4168, 4862, 5548, 7047, 7563, 240, 1461, 2660, 4006, 4877, 5678, 7237, 8262, 240, 1345, 3133, 3276, 4916, 5764, 7055, 7291, 240, 1345, 2992, 4113, 5083, 5811, 6988, 7537, 518, 1750, 2992, 4068, 4877, 6110, 7047, 7660, 228, 1345, 2992, 4125, 4214, 5215, 6919, 8266, 256, 2127, 3144, 3555, 4560, 5436, 6612, 8261, 228, 1750, 3147, 3276, 4737, 5438, 7129, 8130, 240, 2077, 2316, 4006, 4205, 5723, 7160, 7865, 240, 2127, 2858, 3555, 4776, 5556, 6752, 7826, 240, 1623, 2858, 3623, 4737, 5493, 7152, 7838, 543, 2127, 2941, 3967, 4512, 5719, 6607, 8258, 256, 2127, 2316, 3930, 4512, 5296, 7152, 7716, 543, 2106, 3139, 3391, 5083, 5892, 7090, 7707, 105, 2111, 2833, 3391, 5138, 5981, 7098, 7563, 552, 1468, 2833, 3623, 4780, 5493, 7203, 8076, 915, 2111, 2806, 3914, 4780, 6186, 7098, 8076, 488, 1622, 2833, 3825, 5060, 6139, 7226, 8147, 488, 1622, 2164, 3893, 4624, 6139, 6612, 7766, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7077, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 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, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 956, 2046, 3128, 3226, 5104, 5635, 7006, 8267, 571, 2063, 3043, 4011, 4551, 5635, 6515, 7485, 571, 1281, 2806, 3803, 4890, 5694, 6809, 7876, 804, 1370, 2352, 4068, 4181, 6085, 7239, 7557, 304, 2008, 2167, 3838, 5012, 6205, 6715, 7949, 304, 2021, 2144, 3173, 4633, 5883, 6589, 8237, 390, 1992, 3098, 3990, 5104, 5661, 7006, 8083, 980, 1773, 2932, 3710, 4630, 5482, 7239, 7717, 1037, 2063, 2167, 3602, 4586, 5761, 6589, 8260, 512, 1944, 3008, 3945, 4583, 6085, 7124, 7717, 308, 1238, 3098, 3990, 5125, 5694, 6771, 7631, 629, 1403, 2359, 4072, 4707, 5218, 6908, 7438, 781, 1695, 2128, 3268, 4311, 5716, 7049, 8209, 1009, 1388, 2327, 3723, 4456, 5313, 6919, 8058, 234, 1968, 2332, 3394, 4376, 5603, 6497, 7297, 234, 1140, 2726, 3184, 4237, 6046, 6520, 8094, 1036, 1976, 2764, 3586, 4715, 5255, 6267, 8012, 995, 1615, 2869, 3911, 4916, 5874, 6716, 8241, 531, 1830, 2869, 3325, 4929, 5364, 6904, 8213, 759, 1503, 2134, 3892, 4882, 6145, 6686, 7253, 308, 1924, 3060, 3932, 4589, 5942, 6706, 8261, 959, 2000, 2803, 4171, 4801, 5422, 7004, 8085, 715, 2098, 2890, 3827, 4337, 6056, 6935, 7557, 489, 2001, 3038, 3555, 4971, 5515, 6786, 7966, 1094, 1682, 2468, 3770, 4246, 5586, 7095, 8135, 970, 1503, 2280, 4115, 4863, 5717, 7181, 7770, 504, 1303, 2805, 3868, 4570, 5218, 6980, 7262, 547, 1503, 2563, 3302, 4448, 5405, 6792, 7618, 1024, 1503, 3123, 3342, 4271, 5991, 6953, 7894, 1024, 1469, 2565, 3533, 4963, 5903, 6761, 7959, 386, 1469, 2245, 3693, 4858, 5793, 7246, 7886, 643, 1183, 2320, 3520, 4186, 5957, 7151, 7887, 970, 1749, 3015, 3352, 4809, 5829, 6497, 7677, 504, 1877, 2562, 3616, 4893, 5550, 6812, 8030, 678, 2050, 2469, 4105, 5195, 5641, 7152, 7393, 970, 1974, 2998, 3819, 4809, 5643, 6343, 7393, 371, 1779, 3107, 3872, 5020, 5589, 6549, 7990, 1100, 1301, 2256, 3178, 4591, 6146, 6631, 7537, 810, 1346, 2213, 3658, 4835, 5936, 6814, 8197, 428, 1596, 2732, 3366, 5170, 5660, 6839, 8134, 810, 1789, 2378, 3618, 4421, 5411, 7210, 7951, 1070, 1346, 2378, 3326, 4959, 5695, 6625, 7693, 179, 1346, 2583, 3812, 4723, 5955, 6814, 7567, 966, 1503, 3126, 4003, 5010, 6145, 6983, 7967, 683, 1665, 3029, 3578, 4257, 5581, 7135, 7649, 1100, 1363, 2992, 3772, 4462, 5446, 6648, 7462, 918, 1471, 2243, 3597, 4629, 5585, 6909, 8254, 893, 1968, 2921, 3723, 4620, 5221, 6975, 7275, 1081, 1880, 2129, 3609, 4216, 5792, 6909, 7336, 216, 1678, 2548, 3364, 4713, 6056, 6776, 7936, 1033, 1302, 2208, 3513, 4678, 5433, 6698, 8100, 386, 1206, 2208, 4003, 5073, 6105, 6467, 8151, 504, 1717, 2817, 4027, 5052, 6031, 6498, 7958, 1025, 1717, 2340, 3192, 4709, 5385, 7010, 7750, 304, 1683, 2991, 3226, 4856, 6051, 7160, 7883, 715, 1320, 2381, 3951, 4536, 6120, 7218, 8195, 868, 1116, 2289, 4017, 4791, 5532, 6634, 7981, 816, 1596, 2455, 3559, 4335, 5606, 6526, 7981, 535, 1183, 2644, 3600, 4428, 5249, 7104, 7991, 569, 1469, 2129, 3458, 4377, 5766, 6644, 7952, 1071, 1469, 2752, 4167, 4223, 5364, 6684, 7693, 974, 1996, 2654, 4098, 4404, 6176, 7241, 7297, 803, 1914, 2966, 3915, 5195, 5323, 7158, 8075, 864, 1297, 2798, 4016, 4544, 5288, 6731, 8242, 864, 1633, 2441, 4147, 4277, 6088, 6721, 7836, 1011, 1934, 2286, 3292, 4687, 5733, 6851, 7831, 802, 1251, 2172, 3991, 4468, 5819, 7165, 7923, 1071, 1683, 2493, 4138, 4181, 5806, 7184, 7555, 1016, 1179, 3003, 3912, 4497, 6121, 6726, 8033, 1016, 1823, 3049, 3721, 4239, 5952, 6803, 7831, 1016, 1520, 3126, 3567, 4927, 6117, 6315, 7947, 1016, 1823, 2779, 3712, 5081, 6088, 6531, 7958, 1016, 1179, 2750, 3531, 4991, 5429, 6504, 7748, 940, 1874, 3094, 3735, 4663, 5221, 6860, 7638, 1063, 2081, 2819, 4133, 4792, 5710, 6997, 8088, 961, 1633, 3140, 4013, 5095, 6111, 6782, 7977, 1016, 1924, 2198, 3454, 4472, 5459, 6244, 7636, 1016, 1777, 3078, 4164, 4918, 5249, 6891, 7846, 951, 2048, 3090, 4090, 4276, 6056, 6242, 8131, 940, 1104, 2972, 3922, 4758, 5315, 6945, 7962, 1081, 1757, 2927, 3747, 4766, 5704, 6940, 8030, 1051, 1847, 2985, 3839, 5165, 5978, 6809, 7293, 1022, 1179, 2519, 4152, 4555, 5720, 6961, 7649, 1081, 1706, 2444, 4081, 4833, 5925, 6605, 7437, 643, 1900, 2732, 3742, 4694, 6016, 6700, 7537, 678, 1179, 2345, 4080, 4476, 5606, 6698, 7447, 1059, 2035, 2239, 3743, 5040, 5734, 7103, 7264, 663, 1707, 2936, 3676, 4310, 5515, 6857, 7521, 571, 1468, 2136, 3924, 4500, 5592, 7016, 7842, 132, 1153, 2858, 3175, 4782, 5378, 6529, 7735, 337, 1370, 2975, 3391, 5139, 5834, 6967, 7706, 337, 1833, 3110, 3803, 4980, 5598, 7100, 8179, 186, 1508, 2803, 4171, 5060, 6139, 7006, 8267, 860, 1528, 3117, 3367, 4704, 6081, 7124, 7949, 488, 1622, 2806, 4018, 4624, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3891, 4624, 6186, 7226, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6996, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 105, 2106, 3064, 4026, 5083, 5963, 6338, 8080, 183, 2034, 2833, 3666, 4398, 5610, 6988, 7563, 568, 1633, 2717, 3550, 4877, 5656, 6584, 7716, 225, 1858, 2560, 3555, 5081, 5514, 7120, 7811, 225, 2034, 2468, 3969, 4773, 5549, 7114, 7537, 225, 2106, 2468, 3969, 5135, 5223, 7207, 7831, 225, 1269, 2468, 3374, 4555, 5830, 6615, 7920, 568, 1674, 2138, 3555, 5077, 5352, 6914, 7485, 568, 1345, 2754, 4096, 4863, 5677, 6677, 7641, 1071, 1333, 2809, 4135, 4411, 5827, 6917, 7712, 160, 1125, 3022, 3496, 5183, 5446, 6870, 7385, 115, 2053, 2669, 3711, 4334, 5734, 6947, 7618, 487, 2079, 2579, 3225, 4948, 5265, 6466, 7975, 545, 1858, 2579, 3225, 4231, 5800, 6484, 8234, 391, 1112, 2945, 4137, 4682, 5777, 7017, 8108, 487, 1858, 3129, 3515, 4636, 5200, 6286, 7527, 1059, 1834, 2794, 3515, 4949, 5468, 7184, 7529, 1025, 1112, 2826, 3424, 5091, 6062, 6410, 7823, 856, 1834, 2453, 3182, 4415, 5706, 6484, 7888, 1029, 1112, 2593, 3424, 4682, 5478, 6995, 8099, 992, 1112, 2654, 3363, 4636, 5285, 6308, 7542, 992, 2048, 3047, 4057, 4802, 5223, 7043, 8160, 331, 2086, 2725, 3751, 4359, 5781, 6443, 7741, 333, 1915, 2487, 3746, 4497, 6067, 6443, 7904, 770, 1858, 2288, 3591, 5188, 5557, 7091, 7705, 863, 1856, 2918, 3662, 4229, 5435, 6558, 8210, 1097, 1876, 2991, 4097, 4359, 5705, 6774, 7641, 543, 2097, 2988, 3407, 4622, 5650, 6734, 7752, 186, 1856, 3110, 3361, 4912, 5767, 6709, 7948, 935, 1528, 2991, 3914, 4782, 5883, 7023, 7723, 153, 1910, 2833, 3726, 4220, 5590, 6371, 7641, 153, 1756, 2989, 3662, 4344, 5536, 7129, 7778, 789, 2000, 3026, 3540, 4276, 5968, 6979, 7716, 752, 2060, 2346, 3949, 4589, 5998, 6377, 7259, 825, 2059, 2648, 3941, 4617, 5485, 6716, 7545, 970, 1943, 2667, 4162, 4763, 5443, 7228, 7602, 1024, 1898, 2868, 3751, 4697, 5443, 6525, 8047, 643, 1898, 2718, 3986, 4927, 5864, 6898, 7260, 970, 2075, 2175, 3828, 4848, 5604, 6910, 7994, 150, 1913, 2346, 3239, 4420, 5821, 6649, 7445, 643, 1867, 2944, 3842, 4934, 5280, 7140, 8174, 887, 1660, 2389, 3225, 5142, 5856, 6338, 7852, 970, 2000, 2791, 3286, 4809, 6176, 6524, 7494, 678, 1447, 2346, 4165, 4311, 5823, 6607, 7349, 1025, 1913, 2346, 3179, 4691, 5296, 6461, 8145, 678, 1225, 2706, 3637, 4725, 5719, 7033, 7532, 970, 1786, 2842, 3828, 4555, 5294, 6484, 7704, 678, 1393, 2940, 3219, 4323, 5950, 6566, 8061, 940, 1119, 2591, 3732, 4464, 6007, 7017, 8170, 1079, 1509, 2313, 4068, 5129, 5219, 6820, 7876, 308, 1705, 2936, 3361, 4912, 6063, 6786, 7557, 103, 1280, 2221, 3811, 4437, 5219, 7014, 8103, 617, 1756, 2587, 4089, 5135, 5565, 7149, 7781, 617, 1586, 2436, 3543, 4801, 5527, 6823, 7838, 186, 2111, 2803, 3914, 4622, 6085, 7084, 7948, 488, 1998, 2803, 3803, 4822, 6211, 6709, 7766, 818, 2017, 3117, 3893, 4624, 6129, 7077, 8223, 818, 1622, 2803, 3893, 4624, 6129, 7239, 7766, 488, 1528, 2991, 3825, 5104, 6129, 7077, 8223, 488, 1528, 3117, 3367, 4624, 5635, 7077, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7239, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2914, 3893, 4870, 5635, 7077, 8147, 488, 1648, 2806, 3893, 4624, 6139, 6584, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6752, 8223, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4870, 5534, 7124, 8223, 488, 1648, 2806, 3893, 4870, 6139, 6794, 7485, 4, 2 ]

[ 1, 21, 52, 31, 57, 5, 45, 66, 5, 76, 11, 78, 5, 54, 11, 66, 5, 31, 16, 5, 41, 36, 64, 66, 5, 66, 26, 53, 5, 43, 48, 5, 43, 14, 30, 5, 64, 48, 54, 5, 43, 45, 53, 5, 5, 3, 887, 1897, 2231, 3432, 5041, 5357, 7065, 7701, 160, 1469, 2937, 3216, 4243, 6141, 6885, 7684, 1025, 1469, 3032, 3493, 5151, 5904, 6743, 7693, 610, 1251, 2239, 3649, 4331, 5589, 6262, 7955, 424, 1675, 3108, 3253, 5128, 5553, 6283, 7852, 779, 1523, 2232, 3394, 5127, 5550, 6393, 7411, 684, 2046, 2947, 3394, 5115, 5797, 6605, 7658, 715, 2063, 2720, 3955, 4583, 6123, 6612, 8227, 878, 2042, 2975, 3425, 4834, 6117, 6694, 7948, 274, 1998, 2706, 4107, 4784, 6180, 6550, 7423, 1008, 1990, 2296, 3582, 4790, 5810, 6885, 7801, 1024, 2009, 2361, 3561, 5090, 5898, 6466, 7862, 778, 1503, 2515, 3557, 4757, 6147, 6799, 7527, 104, 1669, 2137, 3356, 4242, 5332, 6559, 7437, 614, 2050, 2271, 3773, 4339, 5874, 7221, 8033, 1016, 2071, 2137, 4055, 4344, 6042, 6714, 7814, 1011, 1581, 2137, 4080, 4687, 5385, 6714, 7879, 1016, 2107, 2137, 3940, 4778, 6034, 6726, 7906, 610, 1446, 2291, 3623, 4919, 5678, 6688, 8119, 1003, 1318, 2607, 4086, 4734, 5863, 6651, 7532, 1022, 1399, 2515, 3566, 4954, 5900, 7085, 8132, 981, 1463, 3142, 3410, 4474, 5425, 7003, 8250, 271, 2059, 2865, 4126, 4529, 5640, 7147, 8117, 171, 1116, 2629, 3161, 4936, 5963, 6573, 7473, 1097, 1608, 2924, 3962, 5145, 5385, 6972, 8260, 153, 1871, 2709, 3488, 5127, 6172, 6791, 7570, 579, 1403, 2805, 3480, 4337, 5219, 7168, 7428, 684, 2084, 2716, 3366, 4459, 5436, 7173, 7492, 304, 2073, 2783, 4064, 4555, 5438, 7149, 7537, 104, 1577, 2593, 3469, 5032, 6215, 6614, 7428, 271, 1682, 2790, 3756, 5074, 5709, 7035, 7537, 1057, 1463, 2593, 4021, 5100, 6015, 6680, 8028, 806, 1773, 2436, 3790, 4902, 5512, 6313, 7604, 952, 1821, 2848, 3231, 4604, 5843, 6642, 8262, 516, 2002, 2775, 3732, 4636, 5262, 6966, 7367, 225, 2002, 2334, 3766, 4382, 5843, 6486, 8203, 225, 2021, 3026, 4125, 4845, 6189, 6296, 8132, 518, 1519, 3053, 3394, 4776, 6208, 6627, 7409, 789, 1945, 2554, 3364, 4681, 6211, 6612, 7365, 831, 1966, 2252, 3987, 4993, 6120, 6402, 7260, 390, 1577, 2750, 3704, 4762, 5548, 6980, 7602, 1033, 1944, 2214, 3245, 4592, 5591, 7111, 7855, 936, 1596, 2232, 3540, 4321, 5436, 6932, 7678, 313, 1346, 3061, 3578, 4604, 6204, 6824, 7628, 313, 1581, 2173, 3194, 4193, 5632, 6569, 8257, 508, 1489, 2316, 3276, 5017, 5624, 7185, 8020, 776, 1974, 2300, 3957, 4506, 6060, 6929, 7986, 110, 1974, 2593, 3472, 4748, 6118, 6581, 7707, 390, 1867, 3140, 3434, 4467, 5388, 7017, 7962, 308, 1407, 2554, 3917, 4551, 5493, 6885, 7421, 1097, 1485, 2970, 3951, 4633, 6128, 6338, 7887, 956, 1963, 3135, 3866, 4822, 5534, 7226, 8196, 818, 1620, 2781, 4170, 4704, 6129, 7239, 8260, 510, 1791, 2880, 3914, 4630, 6182, 6589, 8267, 475, 2078, 2957, 3914, 4551, 5635, 6604, 7723, 1015, 1791, 3026, 4168, 4589, 5436, 7120, 8066, 335, 1423, 2340, 3470, 4691, 5436, 6566, 7563, 249, 1199, 2788, 3521, 4486, 5409, 6458, 7997, 1052, 1865, 2263, 4066, 4539, 5492, 6938, 7483, 256, 2042, 2139, 3776, 4687, 6128, 6486, 7856, 518, 2060, 2454, 3671, 4983, 5436, 6607, 7505, 518, 1597, 3147, 3217, 4996, 5844, 6575, 8100, 901, 1700, 2340, 3955, 4859, 5573, 7079, 7582, 901, 1141, 2729, 3879, 5075, 5678, 6776, 7677, 518, 2097, 2340, 3605, 4536, 6120, 6607, 7563, 579, 1141, 2473, 4125, 4836, 6179, 6992, 8266, 171, 2073, 3021, 3250, 5106, 5296, 6688, 7262, 401, 2073, 2783, 3487, 4225, 5795, 6284, 7996, 271, 1587, 2511, 3807, 5127, 5934, 6240, 7393, 936, 1306, 2511, 3165, 4457, 5449, 6934, 7592, 344, 1119, 2874, 3537, 4596, 5794, 7127, 7687, 569, 1758, 2905, 3697, 4825, 5757, 7097, 7752, 404, 1758, 2292, 3697, 4609, 5965, 6561, 7962, 113, 1139, 2597, 4137, 4943, 5861, 6933, 7732, 1020, 1171, 2798, 3605, 4201, 6061, 6984, 7633, 225, 1496, 2149, 3366, 4720, 5547, 7229, 7831, 225, 1524, 2795, 3366, 5197, 6181, 7024, 7908, 225, 1653, 2734, 3227, 4923, 5515, 7009, 8132, 225, 1801, 2718, 3956, 4298, 5549, 7090, 8154, 240, 2078, 2941, 3930, 4912, 5719, 6589, 7913, 256, 1851, 2326, 3967, 4988, 6085, 6486, 7485, 818, 1874, 2730, 3914, 4512, 6129, 7152, 8237, 956, 1620, 2991, 3866, 4611, 5963, 6840, 8147, 789, 1468, 2988, 4006, 4782, 5677, 7168, 8126, 276, 1750, 2444, 3770, 5088, 5556, 7103, 7881, 568, 1622, 2554, 4171, 4867, 6097, 6614, 7563, 942, 1496, 2946, 3426, 5139, 5981, 7218, 7657, 1033, 1490, 3132, 3218, 4470, 5418, 6800, 8061, 897, 1865, 2951, 3288, 4739, 5645, 7156, 7288, 492, 1140, 2810, 3545, 4234, 6217, 6912, 7679, 247, 1168, 2474, 3394, 4759, 5328, 6828, 7524, 293, 1724, 3047, 3394, 4678, 5447, 7140, 7484, 930, 1426, 2346, 3694, 5019, 5598, 6295, 7921, 404, 1964, 2346, 3557, 4502, 6184, 6474, 7329, 113, 2059, 2232, 3411, 4943, 5814, 6474, 7784, 610, 1609, 2207, 3341, 4582, 5386, 6834, 8270, 850, 1676, 2737, 3875, 4592, 5389, 6564, 8130, 778, 1858, 2868, 3488, 4788, 6222, 6908, 7764, 104, 1858, 2905, 3161, 4966, 5844, 6871, 8093, 826, 1512, 3064, 3616, 5183, 5442, 6919, 7428, 986, 1590, 2555, 3340, 5124, 5552, 6577, 7515, 582, 1806, 2440, 4031, 4720, 5884, 6733, 8165, 424, 1550, 2945, 3219, 4797, 6002, 7237, 7313, 1025, 1550, 2978, 3575, 4437, 5893, 6840, 7957, 986, 1581, 3091, 3752, 4364, 5965, 7017, 8047, 839, 1550, 2793, 3327, 5151, 6142, 6443, 8262, 487, 1202, 2716, 3417, 5151, 5558, 6348, 7737, 620, 1942, 3074, 3874, 4231, 6117, 6612, 8188, 1024, 1906, 2332, 3936, 4205, 5771, 6403, 7527, 692, 1938, 3129, 3356, 4717, 5480, 6939, 7996, 510, 1945, 2282, 3726, 4555, 5704, 6437, 7362, 818, 1467, 2798, 3771, 5104, 5493, 6480, 8080, 510, 1175, 2960, 4108, 5159, 6051, 7120, 7806, 240, 2091, 2988, 3394, 4214, 6085, 6749, 8213, 127, 1623, 2904, 4166, 4622, 5514, 7160, 8061, 518, 1525, 2669, 3623, 5163, 5978, 6965, 8261, 654, 1623, 2554, 4125, 4240, 5767, 7006, 7480, 654, 2030, 2554, 3933, 4664, 5795, 6291, 7574, 518, 1853, 3064, 4047, 4329, 5550, 6612, 7706, 518, 1468, 3064, 3838, 4870, 6149, 6612, 7732, 518, 2079, 2991, 3595, 4912, 6085, 6889, 7260, 256, 1684, 2554, 3595, 4622, 5892, 7024, 7485, 356, 1388, 3038, 3227, 4701, 5296, 7000, 7476, 223, 2102, 3063, 3776, 4755, 6147, 7120, 8189, 986, 1388, 2710, 4007, 4191, 5976, 6235, 8165, 545, 1206, 2429, 3605, 4620, 5827, 6224, 7480, 504, 2008, 3080, 3919, 4483, 5492, 6606, 7777, 643, 1928, 3080, 3540, 4811, 6147, 7130, 7744, 504, 1633, 3037, 3949, 4580, 5836, 6225, 8248, 223, 1834, 2944, 3656, 4276, 5436, 7197, 8012, 1025, 1688, 2750, 3500, 5180, 5425, 7158, 8253, 386, 1388, 3033, 3236, 4205, 6002, 6846, 8206, 504, 1692, 3053, 4101, 4556, 5490, 7037, 7530, 1025, 1499, 2315, 3706, 4801, 5565, 6579, 7648, 610, 2009, 2783, 4162, 5153, 5605, 7099, 8130, 424, 1499, 3109, 3955, 5183, 5664, 6702, 8240, 952, 1139, 3149, 4026, 4224, 5978, 7180, 7831, 986, 1540, 2701, 4022, 4914, 5474, 6615, 7559, 582, 1796, 2951, 3580, 5090, 6050, 6933, 7533, 902, 1640, 2751, 3323, 4664, 5951, 6756, 7524, 487, 1682, 2692, 3870, 5111, 5441, 6565, 7524, 807, 1581, 3116, 3770, 4686, 5782, 6414, 7912, 839, 1820, 2607, 3895, 4995, 5624, 7232, 7559, 1040, 2036, 2751, 3939, 4763, 6135, 6540, 7329, 880, 1942, 3074, 3161, 4868, 5558, 6382, 7973, 668, 1472, 2352, 3341, 4720, 5347, 6731, 7633, 536, 1510, 2506, 3469, 4539, 5574, 6467, 8243, 731, 2003, 2440, 4005, 4417, 5759, 6426, 8009, 778, 1755, 2556, 3375, 4573, 5749, 6225, 7954, 150, 1820, 2564, 3560, 5070, 5558, 7051, 7846, 150, 1499, 2564, 4096, 4780, 5953, 6884, 7736, 1025, 1692, 2766, 3605, 4318, 6124, 6849, 8161, 643, 1717, 2946, 3246, 4670, 5890, 7114, 7831, 1081, 1407, 2775, 3472, 4536, 5873, 7049, 8209, 308, 1915, 2348, 3977, 5134, 6113, 7237, 8123, 1099, 1562, 3008, 3891, 4551, 6211, 7160, 8260, 1097, 1620, 2803, 4068, 4551, 6123, 6515, 7421, 818, 2000, 2957, 3710, 4287, 5883, 7201, 7720, 818, 2017, 3117, 4108, 4798, 5832, 7201, 8237, 859, 2000, 3043, 4166, 5038, 6205, 7077, 8267, 105, 1750, 2833, 4125, 4681, 5493, 6786, 7715, 859, 2111, 2803, 4006, 4512, 5694, 6988, 8164, 555, 1684, 2554, 4006, 4555, 5901, 6677, 7732, 105, 2106, 2941, 3391, 4859, 5385, 7168, 7939, 105, 2111, 2880, 3374, 5079, 5548, 6840, 7715, 105, 2111, 3147, 4166, 4555, 6149, 7152, 8076, 859, 2002, 3064, 4125, 5190, 5241, 6840, 7831, 859, 2002, 2970, 3277, 4555, 5811, 6809, 7563, 105, 1684, 3064, 3425, 5075, 6149, 6584, 7494, 555, 1304, 2775, 4125, 5166, 5493, 7098, 8147, 555, 1876, 2970, 3891, 4870, 5241, 7098, 7563, 4, 2 ]

[ 1, 53, 17, 55, 51, 47, 78, 5, 64, 51, 63, 48, 53, 30, 5, 14, 66, 5, 31, 33, 53, 5, 5, 3, 955, 1850, 3056, 3488, 4807, 5618, 6712, 7437, 1033, 1296, 2137, 3679, 4807, 5861, 6954, 7899, 104, 1850, 2137, 3878, 4402, 5976, 7246, 8129, 104, 1740, 2330, 3978, 4525, 5711, 6550, 7559, 893, 1808, 2670, 3727, 4852, 6181, 7136, 7341, 604, 2050, 3031, 4128, 4453, 5954, 6523, 7954, 604, 2061, 3151, 3619, 4882, 5512, 6851, 7401, 840, 2061, 2859, 3884, 4290, 5577, 6518, 7909, 443, 2061, 2815, 3775, 4636, 5954, 7072, 7928, 826, 1326, 3076, 3390, 5110, 5561, 6343, 7756, 778, 1755, 2387, 4035, 4385, 5300, 6425, 7397, 424, 1685, 2389, 3619, 4392, 6168, 6684, 8069, 955, 1932, 2944, 3229, 4467, 6187, 6254, 8259, 288, 1455, 2389, 3201, 4374, 6171, 7143, 7764, 1056, 2073, 2803, 3990, 4967, 5523, 7207, 8209, 951, 1455, 2352, 4145, 5104, 6195, 6302, 7344, 1097, 2000, 3095, 3932, 4533, 5630, 7069, 8237, 272, 1958, 2886, 4047, 4881, 5865, 6803, 7811, 952, 1257, 3149, 3599, 4450, 5619, 6224, 7852, 752, 1948, 2188, 3513, 4510, 6217, 6965, 7613, 487, 1296, 2346, 3305, 4635, 6034, 6965, 7828, 936, 1550, 2292, 3417, 4790, 5913, 6764, 7983, 363, 1550, 2661, 3770, 4678, 5764, 6377, 7371, 504, 1692, 2346, 3765, 4920, 5440, 6458, 7660, 807, 2114, 2404, 4082, 4543, 5648, 7044, 7873, 893, 1164, 2346, 3720, 4457, 5341, 6985, 8072, 103, 1315, 2346, 3455, 5160, 5594, 6383, 8031, 103, 1234, 2515, 3969, 4693, 6086, 7207, 7828, 304, 1244, 2944, 3776, 4934, 5776, 7061, 8117, 401, 1669, 2514, 4096, 4996, 5613, 6283, 7588, 216, 1640, 3035, 3922, 5183, 5824, 7103, 7678, 1047, 1118, 3006, 3550, 4226, 5413, 6840, 7336, 103, 2047, 3080, 4030, 4379, 5844, 6521, 7707, 216, 2091, 2375, 3623, 5183, 5930, 6338, 7965, 401, 1652, 2940, 3826, 5058, 5719, 6765, 8080, 317, 1717, 2792, 4106, 4541, 5899, 6947, 7384, 228, 1652, 2924, 3225, 5125, 6140, 6348, 8253, 654, 1452, 2560, 3248, 5138, 5749, 6333, 7795, 654, 1806, 2468, 3533, 5061, 5534, 6740, 7887, 654, 1806, 3114, 3245, 4601, 5832, 7047, 8164, 228, 2061, 2833, 3646, 5040, 5436, 6409, 7941, 228, 2002, 3052, 3394, 5103, 6076, 6871, 7509, 256, 2002, 2833, 3838, 5193, 5844, 6515, 8102, 153, 1758, 2830, 4083, 4344, 5377, 6840, 7480, 201, 1386, 2729, 4096, 5120, 5350, 7132, 7643, 201, 2017, 2833, 3825, 5166, 5705, 7132, 8147, 818, 1622, 2806, 3893, 4624, 5942, 7077, 8223, 132, 1332, 2754, 4166, 4583, 5436, 6752, 8132, 473, 1386, 2532, 3994, 4870, 6137, 6617, 7439, 132, 1750, 3095, 3886, 4852, 5219, 6361, 8185, 473, 1833, 2287, 4010, 4191, 5410, 7090, 8213, 335, 1263, 3144, 3776, 5085, 5905, 6410, 7563, 149, 1770, 2880, 4085, 4533, 6098, 6975, 7284, 149, 1157, 2552, 3748, 4273, 5500, 6872, 8016, 1098, 1758, 2741, 3870, 4383, 6181, 6974, 7838, 1088, 1510, 2983, 3917, 5124, 5865, 7230, 8128, 582, 1286, 2725, 3430, 4763, 5320, 6530, 8046, 986, 1118, 2527, 3245, 4212, 5491, 7023, 7558, 545, 2095, 2137, 4096, 4966, 6176, 6335, 7873, 504, 1315, 2142, 3709, 5006, 5843, 7055, 7890, 547, 1948, 3080, 3915, 5161, 6035, 6225, 7426, 1024, 1521, 2661, 3732, 5152, 5765, 7133, 8209, 386, 1717, 2717, 4082, 4691, 5982, 6430, 8073, 1025, 1688, 2868, 3246, 4337, 5472, 6824, 8071, 1033, 1721, 2794, 4038, 4969, 5908, 6736, 7474, 887, 1227, 2946, 3452, 4586, 5942, 6991, 7704, 299, 1227, 2655, 3154, 4378, 5573, 7207, 8061, 887, 2036, 2492, 3901, 4467, 5843, 6702, 7515, 104, 1269, 2520, 3259, 5169, 6181, 7152, 7755, 850, 1773, 2944, 3717, 4883, 5659, 6649, 8015, 826, 1255, 2731, 3793, 5169, 5844, 7010, 8207, 424, 1771, 2944, 4082, 4318, 6222, 6709, 7992, 1090, 1978, 2429, 3832, 4429, 6181, 7007, 7753, 390, 1380, 2629, 4145, 4533, 5761, 7207, 8179, 1088, 1320, 2436, 3298, 4849, 5761, 7069, 7463, 535, 1951, 2271, 3544, 4444, 6181, 6663, 8197, 900, 1938, 3116, 3273, 4620, 5435, 7043, 7365, 493, 1653, 2734, 3964, 4595, 5526, 6957, 8036, 331, 1607, 2832, 3495, 5154, 5441, 6458, 7795, 265, 1653, 2238, 3736, 4278, 5444, 6461, 8171, 770, 1653, 2429, 4078, 4788, 5966, 6354, 8044, 308, 1171, 2439, 3803, 4925, 5419, 6840, 8126, 956, 2063, 2989, 3971, 4366, 6205, 6884, 7723, 818, 2046, 2586, 4146, 4704, 5340, 6771, 7720, 818, 1175, 3008, 3710, 5104, 6051, 6515, 8195, 935, 2017, 2746, 3866, 4980, 5832, 6988, 8267, 935, 2017, 3110, 4115, 4276, 6085, 6709, 8237, 186, 1528, 2806, 3893, 4888, 6129, 7124, 8223, 935, 2017, 3135, 3645, 5038, 6085, 6988, 7485, 427, 2065, 3110, 3975, 4447, 6129, 7023, 7887, 401, 1596, 2381, 4145, 4513, 5883, 6604, 8185, 166, 1828, 2629, 3770, 4762, 5500, 7042, 7510, 876, 1171, 2678, 3356, 4535, 6113, 7139, 8168, 160, 1972, 2436, 4067, 4833, 6114, 7160, 7561, 750, 1972, 3056, 3340, 4971, 5589, 6972, 8080, 610, 1399, 2222, 3917, 4374, 5630, 7168, 7608, 1090, 1978, 3092, 3971, 4883, 5765, 7158, 7664, 391, 1780, 2129, 4155, 4780, 6113, 7244, 7899, 1090, 1275, 2582, 3901, 4767, 5573, 7114, 8266, 424, 1255, 2996, 3932, 4333, 6085, 6771, 7386, 390, 2090, 2484, 3819, 4691, 5883, 6776, 7260, 308, 1467, 3053, 3710, 4592, 5241, 6996, 8267, 956, 1945, 2949, 3886, 5061, 6211, 6988, 7782, 818, 1467, 2164, 4174, 4980, 5340, 7006, 8147, 818, 1648, 2957, 4108, 4704, 6205, 6786, 8196, 818, 2017, 2164, 3893, 4624, 6139, 6979, 7766, 818, 1622, 2957, 4018, 4704, 5635, 7124, 7766, 488, 1528, 3110, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 4, 2 ]

[ 1, 76, 48, 5, 53, 26, 66, 5, 42, 33, 66, 5, 31, 33, 63, 5, 66, 57, 54, 27, 66, 5, 5, 5, 64, 33, 30, 5, 53, 39, 54, 35, 30, 5, 44, 53, 62, 39, 65, 16, 54, 66, 52, 47, 5, 31, 14, 66, 5, 15, 41, 66, 35, 54, 73, 54, 5, 14, 78, 5, 31, 16, 5, 64, 52, 39, 5, 64, 52, 57, 52, 47, 5, 66, 60, 52, 30, 5, 17, 62, 5, 16, 5, 64, 66, 48, 62, 5, 16, 64, 33, 54, 66, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6186, 6752, 8196, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8147, 915, 2017, 2806, 3893, 5058, 6139, 6979, 8196, 1037, 1233, 2941, 4108, 4470, 5796, 7023, 7723, 166, 1280, 3060, 3176, 4555, 5893, 6509, 8150, 1066, 2075, 3028, 3170, 4574, 6135, 7072, 7886, 881, 1317, 2716, 3232, 4800, 5723, 7165, 7896, 299, 1586, 2401, 3238, 5015, 6217, 6676, 7917, 936, 1732, 2601, 3262, 4604, 5509, 6525, 7864, 986, 1250, 2601, 3695, 5197, 5613, 6385, 7819, 850, 1112, 2136, 3219, 4893, 6154, 6550, 7627, 778, 1586, 2945, 3943, 4448, 5673, 7223, 8206, 1035, 1758, 2463, 3668, 4867, 5810, 6708, 8031, 850, 1858, 2690, 4096, 4807, 5780, 6810, 8016, 424, 1568, 2440, 3593, 4533, 6050, 6884, 7706, 1035, 1141, 2887, 3604, 4513, 5413, 6603, 8227, 641, 1141, 2463, 3796, 4318, 6179, 6348, 7482, 831, 1944, 2975, 3174, 4184, 6172, 7149, 7535, 986, 1598, 2352, 3430, 4983, 6016, 6901, 8036, 641, 1577, 2163, 3396, 4788, 5305, 6348, 8252, 319, 1275, 2803, 4098, 4437, 5794, 7071, 8088, 203, 1873, 2721, 3419, 4520, 5557, 6970, 7966, 558, 1850, 2721, 4081, 4197, 5954, 7189, 7930, 893, 1270, 2905, 3933, 4444, 5675, 6368, 7892, 465, 1509, 2493, 4154, 4239, 5686, 6488, 7439, 223, 1490, 2713, 4096, 4468, 5991, 6901, 8068, 571, 1441, 2839, 3720, 4807, 5582, 6244, 7720, 678, 1333, 2717, 3532, 4257, 5694, 6889, 8161, 216, 1147, 2794, 3399, 4588, 6166, 6612, 7906, 512, 1523, 3135, 3680, 5166, 6063, 7120, 7768, 1097, 2032, 2943, 3680, 4554, 5883, 6771, 7876, 510, 2032, 2838, 3680, 4713, 6085, 6972, 7887, 956, 1869, 2991, 4006, 4890, 6139, 6515, 7485, 757, 1965, 2669, 3551, 4539, 5514, 6688, 8260, 488, 2017, 2803, 3893, 4398, 6085, 7084, 7485, 419, 1847, 3135, 3914, 4398, 5635, 7207, 8260, 105, 2068, 3065, 4145, 5138, 5514, 7048, 7693, 756, 1791, 2593, 3532, 4374, 5483, 6671, 8195, 752, 1732, 3080, 3366, 4636, 5530, 7157, 7919, 487, 1762, 2453, 3454, 4364, 5422, 6787, 8071, 1074, 1809, 2327, 3885, 4364, 5578, 6225, 7304, 761, 1832, 2156, 3475, 4371, 5810, 6563, 8108, 887, 1335, 2156, 3922, 5110, 5353, 6257, 8205, 663, 1946, 2629, 4156, 4873, 5934, 6425, 7538, 1097, 1791, 2991, 3671, 5125, 6175, 6786, 7816, 510, 1963, 2730, 4145, 5129, 5767, 6979, 8179, 1097, 1992, 3007, 3440, 4630, 6146, 6972, 8076, 1099, 1620, 2991, 3866, 4630, 6146, 7077, 7806, 1099, 1218, 2880, 4114, 5104, 6211, 6752, 7949, 1015, 1320, 2473, 3662, 5060, 5500, 7152, 7476, 475, 2098, 3144, 4113, 5061, 5610, 7017, 8076, 489, 2046, 2880, 3364, 4555, 5224, 6605, 8267, 756, 1919, 2709, 3949, 5183, 5892, 6967, 7908, 769, 1323, 2594, 3395, 4813, 5212, 6614, 8193, 737, 1472, 2355, 3347, 5040, 6001, 6273, 8104, 668, 1918, 2487, 3262, 4810, 5695, 6848, 7869, 692, 1653, 2797, 3443, 4902, 5764, 6957, 7321, 569, 1942, 3028, 3923, 4376, 6090, 6512, 7305, 806, 1388, 2987, 3520, 5197, 5474, 7223, 7474, 880, 1557, 2987, 3759, 5016, 5745, 6487, 7972, 1080, 1557, 2755, 3551, 4539, 5373, 6669, 8229, 407, 1350, 2751, 3669, 5197, 5835, 7043, 7930, 806, 1154, 2979, 3237, 5151, 5827, 6358, 8032, 487, 1751, 2848, 3812, 4842, 5575, 6656, 7975, 211, 2078, 2797, 4015, 4539, 5694, 6715, 7745, 914, 1945, 3008, 3891, 5169, 5493, 7132, 7706, 914, 1992, 3128, 3795, 5007, 5216, 6752, 7887, 510, 1992, 2775, 3990, 5073, 5811, 7207, 7631, 935, 2111, 3110, 4018, 4622, 5661, 7132, 7717, 143, 1669, 3116, 3159, 4512, 5294, 7007, 7348, 195, 1372, 2718, 3566, 4916, 6163, 6375, 7570, 568, 1998, 2970, 3555, 5164, 6129, 7132, 8118, 356, 1490, 3032, 3540, 5115, 5548, 7132, 7311, 223, 1370, 2424, 3922, 4849, 6146, 6544, 7831, 803, 1234, 2775, 3536, 4982, 5480, 6967, 7772, 668, 1830, 2693, 3864, 4176, 6142, 7085, 7397, 767, 1972, 3147, 3710, 4855, 5259, 6840, 8002, 335, 1972, 2783, 4096, 4212, 5424, 7168, 8076, 767, 1521, 2440, 3643, 4861, 5899, 7205, 8132, 335, 1545, 2391, 4055, 4536, 6014, 6918, 8083, 1033, 1545, 3061, 4099, 5109, 5589, 6646, 7794, 759, 1886, 3092, 3217, 4514, 6119, 6828, 7426, 862, 1563, 2805, 3283, 4318, 5934, 6304, 8069, 862, 2050, 2171, 3601, 4823, 5266, 6723, 8165, 784, 1281, 2213, 3466, 4889, 6118, 7241, 7953, 1101, 1199, 2437, 3964, 4739, 5846, 6454, 8049, 884, 1303, 2783, 3460, 4323, 5450, 6869, 7571, 569, 1496, 2861, 4057, 4251, 5623, 6566, 7559, 175, 1934, 2527, 3747, 4213, 5563, 6969, 7758, 575, 2099, 2543, 4112, 5146, 5773, 6789, 7293, 678, 1112, 2746, 4175, 4255, 6147, 6854, 8049, 1081, 1112, 3061, 3337, 4651, 5792, 7040, 8132, 571, 1937, 2355, 3819, 4213, 5702, 6565, 7920, 1056, 1906, 2355, 4125, 4865, 6007, 6950, 8209, 984, 2020, 2925, 3671, 4551, 5767, 6852, 7591, 935, 2041, 3008, 3990, 4912, 6051, 7120, 7591, 475, 2068, 2473, 3226, 5061, 5901, 6272, 8195, 568, 1937, 2683, 3518, 5167, 5550, 6265, 7462, 617, 1147, 2309, 4113, 4615, 5760, 6604, 8030, 859, 1147, 2944, 4150, 5120, 6182, 6852, 7469, 555, 1147, 3095, 3595, 4888, 6182, 6584, 7838, 915, 1147, 2781, 4145, 4704, 5493, 7239, 8076, 488, 1622, 2781, 3827, 4624, 6139, 6589, 8196, 488, 2017, 2914, 3803, 4583, 6139, 7226, 8223, 142, 1528, 2914, 3825, 4624, 6186, 7226, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 915, 2106, 2806, 3803, 5038, 5901, 6988, 8223, 915, 2017, 2164, 3914, 4798, 5241, 7226, 7723, 555, 1623, 2833, 3374, 5159, 6139, 6772, 8223, 555, 1648, 2858, 3827, 5159, 5635, 6752, 8126, 915, 1528, 2833, 3374, 4798, 5678, 6996, 7485, 555, 1750, 2858, 4071, 4870, 5635, 7120, 7485, 555, 1648, 2970, 3391, 4870, 5635, 7077, 8126, 915, 2017, 2164, 3914, 4798, 5241, 7226, 7766, 488, 1528, 2164, 3893, 4624, 6139, 6752, 8196, 488, 1528, 2164, 3893, 4870, 6139, 7124, 8237, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6186, 6794, 7766, 568, 1756, 2271, 3364, 4764, 5515, 7120, 7485, 195, 1971, 2137, 3855, 5040, 5981, 7160, 7697, 195, 1923, 2242, 4175, 4611, 5944, 6642, 7870, 195, 1300, 2880, 3394, 4549, 5672, 6308, 7397, 195, 1750, 2918, 3586, 5075, 5223, 7168, 8076, 899, 2111, 2554, 4115, 4918, 6157, 7043, 8179, 804, 1869, 3135, 3376, 5166, 5795, 6338, 7778, 166, 1653, 2890, 3191, 4903, 5610, 6622, 8154, 189, 1882, 2725, 3353, 4996, 5465, 6795, 7962, 964, 1797, 2332, 3421, 4278, 5603, 6700, 7795, 806, 1906, 2332, 3395, 4763, 6065, 6880, 7934, 646, 1695, 2232, 3642, 5164, 5722, 6663, 8140, 1080, 1649, 2951, 3309, 4209, 6063, 6400, 7793, 1037, 1349, 2398, 3877, 4549, 6010, 7136, 7290, 512, 2125, 3003, 3803, 4670, 5590, 7162, 8260, 1037, 1567, 2326, 4145, 5080, 6056, 7047, 7485, 512, 2041, 2582, 3866, 4551, 6182, 6584, 7557, 1037, 1141, 3144, 4027, 4872, 6160, 6734, 7476, 512, 1745, 2783, 4035, 4551, 5705, 7058, 7717, 1037, 1577, 2924, 3169, 4691, 6171, 7111, 8076, 750, 2090, 2389, 3201, 4435, 6222, 6996, 8083, 891, 1577, 2582, 3870, 4981, 5944, 7098, 8260, 750, 1139, 2783, 3361, 4439, 5981, 6515, 7607, 650, 1931, 2552, 4137, 4334, 5952, 6512, 7744, 424, 1116, 2754, 4096, 4588, 5893, 6270, 7987, 1035, 1758, 2163, 3949, 4792, 5616, 6302, 7256, 850, 1141, 2924, 3361, 4536, 6151, 6348, 8076, 778, 1141, 2783, 3853, 4881, 5971, 6470, 7303, 614, 1758, 2369, 3537, 4592, 6084, 6665, 8028, 535, 1918, 2239, 3788, 5084, 5828, 6617, 7826, 1070, 1639, 2865, 3239, 5081, 5216, 6862, 8167, 572, 1118, 2576, 4007, 5188, 5809, 6512, 7604, 807, 2060, 2361, 3454, 4800, 5650, 6970, 7971, 702, 1289, 3116, 4037, 4935, 6084, 6560, 7810, 620, 1807, 2355, 3421, 4934, 5653, 7043, 8262, 643, 2053, 2440, 3434, 4437, 6101, 6337, 8131, 487, 1779, 2355, 3428, 4364, 5419, 6627, 8206, 545, 1653, 2136, 3364, 4214, 5899, 6493, 8117, 1071, 1455, 2298, 3167, 4589, 5438, 6740, 7286, 1035, 1263, 3104, 4138, 4954, 5493, 6402, 8039, 335, 1882, 2214, 3743, 5138, 5413, 6921, 7611, 1071, 1831, 2480, 3566, 4536, 5942, 6376, 7454, 986, 1268, 2771, 3344, 5095, 5926, 6443, 7905, 1080, 2107, 2751, 3517, 5169, 5228, 6497, 7913, 806, 2024, 2353, 3467, 4855, 5907, 6309, 8092, 880, 1809, 2378, 3554, 4360, 5656, 6298, 8207, 692, 1496, 2586, 4010, 4763, 5810, 6402, 8225, 970, 1510, 3038, 3488, 4955, 6002, 6962, 7658, 938, 1758, 2547, 3699, 4437, 5865, 6677, 7394, 1035, 1758, 3008, 4082, 4902, 6123, 7045, 7485, 216, 1930, 2891, 3575, 5007, 5414, 6708, 8261, 1005, 2022, 2357, 3300, 4586, 5549, 6909, 7636, 1025, 1189, 2783, 3687, 4449, 5746, 6550, 8107, 1025, 1189, 2783, 3687, 4542, 6175, 6677, 7876, 1025, 1758, 2687, 3205, 5106, 5942, 7047, 7255, 390, 2002, 2238, 3815, 4536, 6201, 7007, 7248, 512, 1620, 2793, 4068, 4870, 5963, 7023, 7948, 308, 1668, 2957, 3866, 5166, 5832, 7160, 7631, 231, 1965, 2874, 3488, 4199, 5825, 7100, 7838, 613, 1561, 2336, 3951, 5110, 6096, 7012, 8188, 986, 1649, 2534, 3695, 4800, 5320, 6371, 8203, 927, 1808, 2448, 3327, 4818, 5443, 6224, 7422, 806, 1249, 2144, 3251, 4804, 5809, 6649, 7665, 995, 1472, 2440, 3752, 4330, 5792, 6663, 8150, 986, 1653, 2797, 3394, 4209, 5929, 7013, 7430, 839, 1797, 2751, 3995, 4800, 6017, 6623, 7365, 1084, 2095, 2818, 3955, 5019, 5611, 6251, 8227, 610, 1238, 2440, 3941, 4254, 5477, 6726, 7495, 850, 1932, 2440, 3246, 5085, 5510, 6884, 7962, 424, 1427, 2440, 3671, 4876, 5694, 6918, 7846, 955, 1218, 2440, 3616, 5073, 5835, 6642, 8267, 211, 1280, 3043, 3961, 4622, 5901, 6830, 8093, 512, 1945, 3008, 3671, 4822, 6129, 6967, 7421, 1099, 1992, 2947, 3945, 5104, 5963, 7084, 7485, 818, 1847, 3043, 4006, 4287, 5705, 7111, 8147, 914, 2041, 3110, 4018, 5104, 5635, 6972, 7485, 914, 1963, 2880, 4114, 4912, 5883, 7239, 8179, 120, 1881, 2842, 3788, 4321, 5419, 6713, 7386, 650, 1375, 3027, 3458, 5127, 5935, 6865, 8046, 189, 1541, 2593, 3363, 4321, 5288, 6660, 7250, 806, 1112, 2971, 4027, 5142, 5934, 6768, 7857, 646, 1112, 2536, 3248, 4636, 5441, 6803, 7524, 986, 1276, 3116, 4162, 4338, 5875, 6627, 7508, 545, 1141, 2136, 3225, 4338, 5325, 6224, 7863, 806, 1935, 2440, 3337, 4509, 6002, 6828, 7906, 955, 1831, 2542, 3996, 4364, 5443, 6764, 7846, 715, 1998, 2230, 4037, 4538, 5927, 6709, 8132, 757, 1755, 2660, 3916, 5084, 5436, 7157, 7660, 568, 2013, 2718, 4135, 5080, 6146, 6752, 7574, 568, 1623, 2970, 4096, 4877, 5296, 6863, 8185, 568, 1133, 2792, 4145, 4844, 5438, 6918, 7570, 757, 2034, 3095, 4006, 4669, 5844, 6786, 8093, 757, 2127, 2287, 3931, 4353, 5982, 6752, 8080, 617, 2068, 2287, 4145, 4318, 5689, 6702, 7846, 552, 1345, 3062, 3710, 5038, 5963, 6584, 7904, 731, 1597, 2466, 3982, 4398, 6205, 6709, 8262, 216, 1421, 2924, 4093, 5012, 5565, 6939, 8215, 1033, 1956, 2775, 4015, 4371, 6062, 6377, 8034, 1025, 1850, 2730, 3857, 5153, 5441, 6917, 7887, 826, 1773, 2563, 3771, 4374, 6014, 6649, 7852, 831, 1770, 2136, 3771, 5144, 5614, 7157, 7547, 390, 1660, 3145, 3901, 4334, 5678, 7111, 7776, 288, 1747, 3080, 3732, 5129, 5687, 6918, 8093, 510, 1963, 3021, 3866, 5129, 6014, 7010, 7421, 308, 1992, 2957, 3671, 4888, 5824, 7207, 7764, 541, 1293, 2809, 3488, 4762, 5403, 6900, 7930, 613, 1944, 2872, 3894, 5164, 5478, 6860, 7291, 1035, 1915, 3137, 3851, 4340, 6128, 7157, 7887, 1003, 1633, 2924, 3472, 4777, 5656, 7230, 7542, 160, 1821, 3033, 4005, 4529, 5760, 6870, 7899, 115, 1635, 2487, 3731, 5099, 5871, 6905, 7786, 1080, 1706, 3116, 3884, 4399, 6145, 6611, 7826, 886, 1640, 2787, 4126, 4651, 5706, 6883, 7395, 722, 1692, 2850, 3991, 4717, 6039, 6484, 7896, 807, 1827, 2436, 3930, 4615, 5563, 7140, 7995, 487, 2079, 2268, 3358, 4752, 5334, 6790, 7714, 986, 1581, 2891, 3776, 4694, 5810, 6409, 7767, 1059, 1533, 2794, 4117, 5142, 5585, 6642, 7948, 424, 2091, 2327, 3951, 4444, 5694, 6786, 7715, 678, 1421, 2886, 3986, 4813, 5653, 6918, 8047, 804, 1933, 2746, 3866, 4622, 5901, 6809, 7421, 959, 2024, 2582, 3771, 5061, 5844, 7160, 8267, 756, 1218, 2293, 3892, 4435, 5622, 6668, 7421, 806, 2127, 3058, 3370, 4458, 5650, 6655, 7386, 803, 2118, 2610, 3306, 4191, 5387, 6898, 8171, 407, 1653, 2798, 3765, 4841, 5234, 6443, 8071, 407, 1108, 2751, 3788, 5149, 6126, 6839, 7888, 707, 1993, 2959, 3735, 4790, 5577, 6736, 7792, 639, 1520, 2344, 3169, 4364, 5466, 7037, 7624, 1088, 1349, 2988, 3281, 5111, 6087, 6530, 7360, 806, 1332, 2979, 4101, 4236, 6217, 6860, 7619, 113, 1653, 2365, 4076, 4364, 5665, 6624, 8123, 1037, 1587, 2340, 3945, 4845, 5792, 6775, 7383, 955, 2065, 2149, 3292, 4670, 5630, 6648, 7807, 952, 1349, 2924, 3704, 4367, 5400, 7230, 7939, 839, 1349, 2751, 3576, 4919, 5444, 6905, 7747, 319, 1106, 2823, 4137, 4444, 5757, 7043, 7986, 673, 1653, 3116, 3237, 4703, 5966, 6910, 8092, 1070, 1349, 2593, 3303, 4244, 6202, 6270, 7538, 1052, 1348, 2751, 3467, 4818, 5478, 7163, 7586, 320, 1700, 2593, 3214, 4365, 5979, 6314, 7658, 407, 1809, 2355, 3775, 4818, 5810, 7161, 7826, 802, 1474, 2355, 3449, 4827, 5837, 6333, 8201, 160, 1232, 2521, 3874, 4329, 5484, 7085, 7962, 715, 2098, 3043, 3352, 4541, 5963, 7217, 7914, 518, 1633, 2554, 3555, 5145, 6110, 6615, 7367, 878, 2002, 3130, 3681, 4863, 5290, 7207, 7524, 617, 1597, 2560, 3487, 5050, 6014, 7010, 7555, 555, 2065, 3110, 3994, 5159, 6137, 6752, 8126, 419, 1623, 2709, 4114, 4888, 5550, 6840, 7397, 183, 1286, 2469, 3879, 5088, 5874, 6604, 7831, 617, 2111, 3064, 3825, 4555, 5360, 6809, 7563, 552, 1705, 3128, 4068, 4870, 5901, 6840, 8237, 731, 1446, 3032, 3575, 4586, 5482, 6972, 8164, 759, 1982, 2629, 3788, 4622, 6177, 6567, 7962, 802, 1494, 2422, 4083, 4191, 5678, 7008, 8213, 887, 1335, 2775, 3425, 5088, 5925, 7114, 8034, 223, 2079, 2740, 3709, 5125, 6070, 7129, 7816, 223, 1915, 3053, 4153, 5145, 5216, 7168, 7846, 160, 1915, 2750, 3201, 4592, 5550, 6872, 7481, 610, 1717, 3144, 3771, 5022, 6156, 7019, 8179, 160, 1881, 2750, 4041, 4764, 5219, 7120, 7887, 424, 1306, 2731, 3472, 4966, 5694, 7147, 7641, 104, 1797, 2312, 4101, 5098, 5687, 7069, 7476, 1029, 1510, 2728, 4072, 5036, 5672, 7019, 8243, 993, 1633, 3005, 3261, 5157, 5899, 6875, 7557, 826, 1421, 2173, 3981, 4620, 5810, 6240, 8150, 104, 1299, 2797, 4015, 5140, 5950, 7029, 7761, 641, 1577, 2868, 3305, 4554, 6111, 7158, 7682, 645, 1317, 2629, 3778, 4606, 6149, 6476, 7622, 1057, 2024, 2287, 3249, 4254, 5810, 6287, 8238, 1047, 1577, 2287, 4014, 4514, 5391, 6793, 7641, 831, 1317, 2515, 3866, 4404, 6189, 6544, 7758, 970, 1924, 2383, 3950, 5040, 5388, 7086, 8061, 678, 1943, 2957, 4103, 4467, 5841, 6439, 8080, 678, 1937, 2456, 4135, 5040, 5761, 6840, 7849, 940, 1577, 2515, 4114, 5040, 5259, 6514, 7955, 970, 1833, 2912, 3323, 4555, 5981, 6842, 8188, 970, 1512, 2970, 3162, 4537, 6019, 6563, 7481, 1081, 1141, 2149, 3352, 4881, 5352, 6566, 8077, 678, 1141, 2998, 3540, 5145, 5739, 6774, 7379, 663, 1141, 2766, 4082, 5153, 5276, 7095, 7732, 940, 1141, 2688, 3361, 4925, 5727, 7149, 7999, 1011, 1141, 2444, 3909, 4191, 6084, 6870, 7386, 1011, 1141, 2444, 3488, 4912, 5714, 7218, 7962, 940, 1244, 2868, 4095, 4437, 6171, 6528, 8227, 970, 1141, 2710, 3396, 4533, 5536, 6938, 7941, 970, 1141, 2766, 3361, 5106, 6175, 7132, 7962, 692, 1865, 2532, 3541, 4335, 5280, 6566, 7772, 1101, 1653, 3137, 3208, 4440, 5992, 6945, 7959, 575, 1653, 3130, 4076, 5198, 5403, 6983, 8171, 1037, 1653, 2344, 3448, 4696, 5376, 6604, 7303, 1097, 1490, 3022, 3413, 4459, 5746, 7152, 8209, 337, 2111, 2880, 3914, 4387, 5687, 7004, 7586, 956, 2068, 3007, 4041, 4551, 5705, 7084, 7949, 935, 1218, 3007, 4018, 5159, 6139, 7132, 7948, 201, 1528, 2164, 3803, 4704, 6081, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7226, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 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, 256, 2106, 2729, 3413, 4611, 6163, 7124, 7563, 569, 1597, 2951, 3370, 4763, 6062, 7175, 7651, 739, 2049, 2678, 3742, 4367, 5370, 6698, 7849, 739, 1977, 2979, 3180, 4649, 5790, 6735, 7989, 612, 1924, 2979, 3765, 4408, 5292, 6287, 8181, 803, 1762, 3030, 3446, 4539, 5516, 6879, 7989, 893, 1636, 2579, 3371, 5113, 5566, 6498, 7978, 465, 1306, 2175, 3658, 4766, 5944, 6335, 7319, 881, 2055, 2693, 3791, 5180, 5273, 6944, 7794, 1052, 1871, 3002, 3695, 5081, 5536, 7062, 7736, 317, 1206, 2468, 3371, 4321, 5444, 6880, 7920, 317, 1452, 3130, 4007, 4828, 5740, 6383, 7427, 317, 1525, 2238, 3680, 4318, 6025, 6966, 7794, 518, 2078, 3053, 4108, 5061, 5796, 6325, 7275, 440, 1467, 2947, 4113, 4713, 5333, 6574, 7476, 899, 2030, 2936, 3671, 4555, 5610, 7168, 7421, 475, 1844, 2949, 4026, 4398, 5963, 6852, 7776, 899, 1508, 2781, 4150, 5080, 5514, 6860, 7261, 789, 1756, 2729, 3886, 4980, 5761, 6291, 8237, 789, 1998, 3144, 3595, 4215, 5360, 7160, 8179, 440, 1827, 2598, 3917, 4398, 5624, 6709, 8075, 948, 1668, 2629, 3251, 4954, 5893, 6912, 7521, 1006, 1826, 2561, 4082, 4848, 5684, 7019, 7889, 781, 1826, 2941, 3399, 4862, 5980, 7227, 7298, 893, 1828, 3126, 3511, 4934, 5790, 6343, 7869, 115, 1563, 2348, 3321, 4792, 6002, 6689, 8058, 518, 1675, 3032, 3749, 4255, 5259, 6715, 7896, 195, 1281, 2293, 3376, 4902, 6160, 6879, 7568, 195, 2002, 2669, 3563, 4421, 6085, 7149, 7781, 654, 1345, 3018, 3662, 4862, 6119, 6291, 7537, 195, 1750, 2803, 3645, 4980, 5333, 6909, 7664, 518, 1998, 3133, 4113, 4716, 5219, 6604, 7602, 518, 1851, 2542, 3595, 5168, 6145, 7041, 8078, 654, 2065, 2473, 4096, 4916, 5678, 7047, 8118, 518, 1304, 2469, 3803, 4622, 5960, 6231, 8185, 654, 2097, 2473, 3891, 4877, 5223, 6889, 7485, 240, 1623, 2781, 3933, 4859, 6175, 6414, 8185, 450, 1874, 2880, 4113, 4191, 5550, 6630, 8213, 899, 1804, 2718, 3951, 5083, 5223, 6403, 7720, 767, 1773, 3108, 3521, 4340, 5677, 6780, 7774, 1033, 1594, 2345, 3412, 4429, 6120, 6791, 8016, 150, 1499, 2452, 3478, 4807, 6026, 6967, 8072, 1025, 1759, 2137, 3851, 4319, 5646, 6563, 7800, 643, 1682, 2389, 3739, 4910, 5332, 6512, 7748, 150, 1407, 2790, 3345, 4848, 5834, 7095, 7602, 803, 1562, 2173, 3993, 4928, 6055, 7115, 7918, 893, 1518, 2345, 4022, 4205, 5361, 6804, 8026, 1100, 1692, 2626, 3993, 4827, 5784, 6343, 7456, 1017, 1794, 2636, 4037, 4321, 5653, 6367, 8216, 761, 2118, 3037, 3434, 4539, 5689, 6941, 7880, 693, 1472, 2951, 3880, 4320, 5391, 6905, 7810, 585, 1563, 2951, 3577, 4603, 5695, 7229, 7862, 582, 1552, 2915, 3313, 4804, 5660, 7212, 7913, 545, 1442, 2799, 4037, 4804, 6012, 6255, 7795, 986, 1913, 2874, 3329, 4934, 5576, 6776, 7393, 923, 1782, 3116, 3345, 4849, 5584, 6340, 7821, 487, 1562, 2380, 3396, 4364, 5728, 7138, 7592, 643, 1896, 3029, 3842, 5024, 5899, 6649, 7986, 807, 1281, 2453, 3610, 4604, 5899, 7001, 7524, 582, 1924, 2453, 3476, 4690, 5968, 6401, 7466, 1025, 1121, 2454, 3345, 4620, 6137, 6224, 8248, 986, 1494, 2708, 3272, 4321, 6119, 6837, 8189, 150, 1815, 3116, 4137, 4298, 5706, 7059, 7664, 1025, 1606, 3029, 3642, 4318, 5976, 7043, 7376, 981, 1815, 2422, 3584, 4205, 6119, 7229, 8262, 545, 1562, 2387, 4037, 4320, 5370, 6908, 7259, 1081, 1606, 2638, 3613, 4334, 5589, 6860, 7496, 643, 1815, 2951, 3243, 4215, 5840, 7232, 8047, 504, 1815, 3141, 3245, 4205, 5433, 7076, 7954, 643, 1834, 2759, 3329, 4755, 5925, 6892, 7442, 970, 2001, 2415, 3395, 4636, 5538, 6584, 7822, 887, 1779, 2448, 3812, 4604, 5777, 7078, 7800, 160, 1924, 3097, 4076, 4931, 5844, 7072, 7777, 160, 1906, 2556, 3563, 4707, 5584, 7152, 7677, 715, 1206, 2936, 3272, 4179, 5320, 7003, 8061, 568, 2045, 2959, 3785, 4598, 6065, 6768, 7586, 225, 2060, 2468, 3595, 4743, 5705, 7188, 7939, 225, 2060, 2316, 3955, 4630, 5216, 6520, 7664, 518, 2078, 2542, 3945, 5138, 5730, 6589, 7717, 518, 1596, 2473, 3931, 4775, 5832, 7163, 7631, 518, 1945, 2838, 3994, 4398, 5689, 6604, 8061, 901, 2097, 2941, 3648, 5159, 5223, 7006, 8099, 789, 2032, 3147, 3803, 4877, 6007, 7002, 8126, 105, 2088, 2858, 4078, 4329, 5830, 7152, 7873, 914, 2073, 2820, 3550, 4423, 6129, 6338, 8080, 804, 1945, 2941, 4170, 5159, 5832, 6589, 8237, 160, 1563, 3150, 3290, 4337, 5600, 6859, 8209, 1071, 1893, 3092, 3884, 5088, 6120, 7158, 7984, 887, 1873, 3092, 3395, 5164, 5911, 6515, 7991, 614, 1856, 3092, 4072, 4876, 6142, 7092, 8174, 803, 1988, 2893, 3793, 4332, 5640, 6553, 7527, 325, 2043, 2393, 3707, 4595, 5745, 7017, 7567, 814, 1838, 2214, 4137, 4901, 5744, 7128, 7793, 277, 1350, 2732, 3999, 4287, 5697, 6234, 7954, 1001, 2071, 2215, 3179, 4688, 5905, 7053, 7538, 160, 2117, 2933, 3777, 5023, 6002, 6731, 7452, 610, 1469, 2716, 3955, 4866, 5304, 6668, 8161, 1081, 1469, 2716, 3819, 5135, 5245, 6708, 7657, 1081, 1469, 2716, 3954, 4924, 5651, 6898, 8236, 1081, 1469, 2716, 3954, 4912, 5352, 6702, 8263, 424, 1776, 3015, 3665, 5029, 5716, 7052, 7385, 390, 1974, 2232, 3420, 5164, 5776, 6772, 7863, 356, 1989, 2636, 3977, 4859, 6064, 6822, 8227, 955, 2001, 3151, 3755, 5036, 5756, 7058, 8145, 955, 1924, 3092, 4153, 4387, 5350, 6980, 8227, 1081, 1496, 2261, 3430, 4801, 5954, 6830, 8126, 1035, 1510, 2495, 3201, 5084, 5320, 6671, 7355, 487, 1541, 2210, 4057, 5092, 5954, 6899, 7537, 610, 1948, 2454, 4065, 4993, 6135, 7103, 7679, 610, 1948, 3021, 3582, 4364, 5767, 6850, 8064, 940, 1948, 2330, 4103, 4716, 5694, 6939, 7852, 955, 2009, 2142, 3410, 4215, 5603, 6376, 7664, 512, 1809, 2710, 4114, 5159, 5216, 6786, 7753, 915, 1467, 3008, 4174, 5104, 5963, 6988, 8126, 488, 1467, 3008, 4108, 4583, 5705, 7239, 8147, 1099, 2017, 2838, 3982, 4366, 5241, 6752, 8196, 818, 1467, 2914, 3893, 4366, 6211, 7124, 8196, 818, 1467, 2914, 4108, 4583, 6211, 7077, 7949, 183, 1345, 2988, 3904, 4923, 6205, 7136, 7906, 334, 1684, 3150, 3751, 4423, 5620, 6744, 7927, 153, 1750, 2858, 3891, 4219, 5296, 6723, 7919, 684, 2065, 3062, 3746, 4555, 5981, 6802, 8164, 304, 1981, 2352, 3975, 5157, 5548, 6412, 7876, 802, 2035, 3112, 3709, 4825, 5378, 7218, 8167, 761, 2035, 3090, 3610, 4473, 6068, 6612, 7449, 277, 1255, 2571, 3696, 4751, 5716, 6510, 7872, 802, 1244, 2394, 4097, 4915, 5321, 7079, 7358, 1016, 1335, 2653, 3605, 5044, 6031, 6620, 7901, 961, 1350, 2198, 3771, 5030, 6187, 6348, 8232, 569, 1633, 2977, 3707, 4810, 5643, 6628, 7802, 806, 1179, 2805, 3605, 4256, 5910, 6742, 7648, 558, 1244, 2597, 3759, 5134, 5699, 6560, 7787, 992, 1809, 2440, 3283, 5134, 5761, 6985, 8005, 344, 1317, 2701, 3233, 4274, 5729, 6707, 8200, 277, 1758, 2564, 3884, 4607, 5445, 6813, 7602, 876, 1758, 2846, 3884, 4565, 5940, 6949, 7607, 876, 1299, 2564, 3448, 4850, 5490, 6553, 8079, 996, 1299, 2414, 3358, 5091, 5325, 6804, 7751, 1016, 1682, 2979, 3442, 4929, 5325, 6335, 7759, 1016, 1682, 2361, 4163, 4630, 6142, 6224, 7607, 1016, 1199, 2369, 3421, 4727, 5695, 7052, 7470, 961, 1682, 2361, 4134, 4205, 5216, 6265, 7998, 961, 1682, 2636, 4134, 5175, 6187, 6657, 7998, 160, 1199, 2261, 4126, 5073, 5694, 6820, 8192, 424, 1572, 3092, 4095, 4387, 5313, 6509, 7707, 1090, 1833, 3092, 3732, 4589, 5475, 6507, 8126, 308, 1566, 2991, 3918, 5169, 6205, 7239, 7570, 1059, 1915, 2818, 3539, 5135, 6056, 6530, 7934, 569, 1753, 2848, 3842, 4481, 6002, 6410, 7366, 569, 1828, 2724, 3300, 4345, 5204, 6827, 8235, 319, 1496, 2480, 3717, 4183, 5474, 6783, 8022, 614, 1865, 3103, 3258, 4818, 5438, 6741, 7706, 1035, 1865, 2245, 3352, 4876, 5353, 6627, 7758, 1099, 1218, 3021, 3932, 4276, 5630, 7086, 7421, 935, 1998, 2391, 3990, 5104, 5705, 6988, 8195, 935, 1871, 3144, 3886, 5104, 5534, 7111, 8179, 186, 1945, 2838, 3866, 4782, 5219, 7201, 8147, 1097, 1856, 3008, 4174, 4912, 6195, 7111, 7557, 756, 1964, 3043, 3914, 5120, 6146, 7010, 7476, 579, 1773, 2886, 3950, 4751, 6050, 6584, 7916, 262, 1830, 3080, 3917, 4442, 5781, 6849, 7992, 814, 1682, 2979, 3192, 4311, 5396, 6870, 7305, 814, 1299, 2979, 3536, 4402, 5585, 6815, 7467, 448, 1350, 2979, 3795, 4800, 6060, 6632, 7794, 160, 1906, 2979, 3188, 4699, 6175, 7090, 8008, 228, 1675, 2282, 4151, 4967, 6007, 6965, 7440, 225, 2002, 2971, 3838, 4863, 5565, 6938, 7442, 195, 2002, 3040, 3363, 4423, 6221, 7098, 7677, 195, 1750, 2221, 3993, 4398, 5250, 7230, 7785, 654, 2065, 3000, 3595, 5160, 6149, 7232, 7996, 518, 1750, 2992, 4111, 4776, 5425, 6589, 7948, 789, 1851, 2970, 3605, 4681, 5656, 6589, 7260, 789, 1750, 3110, 3914, 4859, 5767, 6607, 7715, 789, 1648, 2473, 4145, 4877, 5705, 6752, 7707, 256, 1851, 3064, 4113, 4681, 5493, 6996, 7715, 256, 1750, 2858, 3595, 4398, 6085, 6607, 8196, 256, 2127, 3065, 3803, 4398, 5963, 6584, 8248, 419, 1345, 3133, 4092, 4877, 5413, 7129, 7706, 211, 1147, 2520, 3983, 4340, 6086, 6840, 8179, 1033, 1782, 2941, 4130, 4318, 6105, 7188, 7476, 487, 1915, 2847, 3770, 4796, 5978, 7140, 7675, 487, 1935, 2261, 3425, 5160, 5313, 7162, 8234, 1035, 1550, 3101, 3770, 4338, 5810, 6412, 8236, 986, 1771, 2346, 3458, 4539, 5652, 6830, 7939, 986, 1932, 2436, 4037, 4882, 6146, 6671, 8098, 752, 1808, 2429, 3983, 5138, 6119, 6399, 7260, 641, 2088, 2532, 3314, 4482, 5705, 6895, 7821, 818, 1998, 3135, 3982, 4366, 5968, 7168, 8236, 510, 1700, 2924, 3886, 4980, 6182, 7084, 8083, 1099, 1620, 3135, 4166, 4888, 6211, 7084, 8237, 1099, 1620, 3008, 4166, 4366, 5635, 7207, 7723, 684, 1218, 2880, 3516, 5166, 6129, 6752, 7723, 415, 1910, 2474, 3671, 5134, 5606, 6788, 7474, 223, 1797, 2709, 3892, 4529, 5991, 6296, 7422, 584, 1724, 2225, 3421, 4662, 6041, 7159, 7750, 569, 1252, 2409, 4095, 4500, 6002, 6689, 7491, 293, 1743, 2731, 3394, 4193, 5693, 7246, 7889, 966, 1773, 3091, 4072, 4226, 5578, 6503, 7822, 966, 1649, 3116, 3245, 5188, 5815, 7026, 7885, 810, 1303, 3091, 3539, 4417, 5249, 6711, 8229, 572, 2086, 2951, 3487, 4458, 6024, 6656, 7520, 693, 1139, 2951, 3326, 4468, 5441, 6791, 7801, 802, 2114, 2951, 4076, 4383, 5810, 6863, 8024, 390, 1653, 2567, 3922, 4424, 6162, 6715, 7962, 756, 2118, 2941, 4103, 4292, 6142, 7151, 7636, 699, 1752, 2172, 3425, 4715, 5250, 6480, 7540, 654, 1304, 2221, 4113, 4555, 5548, 7006, 8261, 654, 2032, 3021, 3723, 5143, 5579, 7232, 8093, 654, 2106, 2554, 3555, 4298, 5890, 7152, 8076, 518, 2127, 2356, 3891, 4996, 5844, 6612, 7873, 518, 2127, 2959, 3595, 4870, 5515, 7103, 8261, 256, 1826, 3099, 3771, 5138, 5223, 7160, 7906, 859, 2065, 2669, 3681, 5159, 5811, 6752, 8185, 555, 1961, 3117, 3914, 4555, 5514, 6810, 7766, 899, 1773, 3032, 3770, 5166, 5413, 6840, 7384, 752, 1653, 2559, 3987, 4885, 5590, 6919, 7965, 221, 1476, 2261, 3292, 5073, 5729, 7118, 7752, 407, 1951, 3003, 3469, 4571, 6024, 6900, 7297, 702, 1286, 2751, 3356, 4474, 6155, 6436, 8152, 918, 1268, 2224, 3943, 4501, 5569, 7129, 7559, 1029, 1349, 2826, 3757, 4495, 5421, 6623, 7426, 1059, 1783, 2951, 3973, 4715, 5377, 6991, 7509, 643, 1889, 2332, 4069, 4717, 5563, 7107, 7586, 779, 1700, 2843, 3873, 4458, 5942, 6483, 7557, 831, 1916, 3126, 3361, 4228, 6146, 7084, 7927, 1081, 1943, 2731, 3961, 5169, 5901, 7023, 7992, 678, 1182, 2731, 3692, 5115, 5413, 6967, 7915, 427, 1577, 2943, 3771, 5153, 5573, 6584, 8093, 940, 1945, 2989, 3645, 4392, 5678, 7006, 8107, 211, 1280, 2991, 3201, 4589, 5983, 6852, 7421, 804, 2000, 2991, 4068, 5106, 5832, 7084, 7485, 105, 1910, 2315, 4006, 4801, 5515, 7160, 7397, 228, 2034, 2554, 3321, 4762, 5953, 6668, 8046, 183, 1750, 2332, 3391, 5061, 5944, 6607, 7254, 555, 1345, 2833, 3994, 5160, 5493, 7090, 7887, 488, 2017, 2991, 3886, 4870, 6103, 7201, 8237, 488, 2017, 2806, 3893, 4624, 5705, 7239, 8223, 488, 1622, 2806, 3893, 4624, 6139, 7239, 8185, 488, 2017, 2914, 3825, 4624, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2914, 3893, 4798, 6139, 6584, 7766, 915, 2017, 2970, 3825, 4798, 5677, 6996, 8080, 915, 2017, 3133, 3914, 4398, 5241, 6584, 8196, 915, 1528, 2970, 3893, 4870, 5677, 6752, 8261, 915, 1756, 2970, 4125, 4870, 5493, 6988, 7831, 915, 1622, 2833, 3595, 4512, 6139, 6996, 8196, 555, 1648, 2970, 3825, 4890, 5811, 6604, 8223, 915, 1528, 2970, 3891, 4704, 5677, 7152, 8080, 4, 2 ]

[ 1, 26, 5, 51, 69, 30, 5, 54, 11, 66, 5, 66, 33, 52, 3, 945, 1528, 3065, 3825, 4798, 6211, 6752, 8196, 488, 2111, 2914, 3825, 4624, 6186, 7120, 8223, 488, 2017, 3117, 3367, 4798, 6186, 7124, 7766, 186, 2032, 2340, 4071, 4798, 6081, 7124, 8260, 899, 2001, 2167, 3680, 4512, 5702, 6996, 7485, 331, 1860, 3040, 3370, 5065, 5747, 6397, 7599, 327, 2009, 2766, 3648, 4279, 5358, 7166, 7361, 830, 1401, 3116, 3674, 5031, 5288, 6656, 7686, 1052, 1732, 2911, 3329, 4752, 6142, 7198, 7597, 390, 1286, 2593, 3631, 4802, 6111, 6756, 7955, 186, 2097, 2844, 3975, 4895, 6113, 7045, 7806, 935, 2041, 2957, 3487, 5104, 5378, 6774, 7290, 935, 1620, 3110, 3891, 4713, 6129, 7084, 8267, 984, 2111, 2781, 4114, 4713, 5883, 7218, 7641, 293, 1632, 3035, 4106, 4272, 5377, 6667, 7962, 91, 1606, 2395, 3194, 4207, 5299, 6690, 7660, 1015, 2073, 2340, 3555, 5088, 5987, 6517, 8184, 223, 1407, 3092, 3892, 4834, 6021, 6732, 8055, 716, 1146, 2814, 3751, 4486, 5321, 6646, 8144, 897, 1290, 2175, 3937, 5000, 5397, 6947, 7881, 492, 1507, 2232, 4021, 5019, 6074, 7169, 7868, 752, 1510, 2587, 3859, 4489, 5778, 6431, 7549, 684, 1540, 2754, 4114, 4732, 5978, 6996, 7948, 804, 1427, 2582, 3886, 5129, 5210, 6588, 8185, 571, 1175, 2838, 3188, 4374, 5573, 6604, 7876, 663, 2107, 2167, 3932, 5159, 6205, 7207, 7948, 831, 1827, 3064, 3776, 4588, 6051, 6719, 7687, 1035, 1915, 2708, 3188, 4536, 6063, 6349, 8107, 887, 1255, 3001, 3975, 4683, 6171, 6771, 8213, 850, 1682, 3098, 3309, 4972, 6051, 6515, 8260, 826, 1350, 2653, 4154, 5159, 5749, 7160, 8126, 778, 1700, 2937, 3233, 5019, 5776, 6820, 8143, 462, 1547, 2829, 4007, 4316, 5959, 6337, 7288, 293, 1850, 2344, 3880, 4800, 5383, 6932, 8210, 100, 1146, 2258, 3578, 4994, 5799, 6875, 7741, 776, 1867, 2628, 3826, 4379, 5513, 6875, 7652, 1011, 1609, 2604, 3749, 4319, 6063, 6798, 8168, 1005, 1469, 2381, 3680, 4440, 5286, 6940, 8026, 373, 1728, 2858, 3229, 4567, 6060, 6681, 7894, 288, 1827, 2960, 3803, 4781, 5811, 6331, 7397, 818, 2068, 3095, 3982, 4822, 5901, 6979, 7723, 488, 1945, 3110, 3893, 4704, 5705, 6972, 8267, 818, 2017, 2164, 3226, 5058, 6129, 7124, 7766, 818, 2046, 3110, 3893, 4888, 6139, 7124, 7766, 488, 1528, 2914, 3825, 4624, 6139, 7124, 8147, 488, 1528, 2914, 3893, 4624, 6139, 7124, 7766, 818, 1620, 2781, 4018, 4798, 6129, 6786, 7723, 186, 2017, 3065, 3825, 4798, 6129, 7239, 8237, 824, 1684, 2560, 3420, 4760, 5830, 6789, 7366, 699, 1695, 2341, 4125, 4555, 5436, 6895, 7966, 225, 1564, 2565, 3566, 5075, 6149, 6988, 7806, 356, 1684, 2880, 3391, 4267, 5650, 6677, 8261, 955, 2013, 2608, 3596, 5088, 6211, 6391, 8185, 893, 2036, 3120, 4060, 4340, 5416, 7003, 8129, 897, 1239, 3033, 3850, 4926, 5408, 6272, 7604, 1074, 1850, 2487, 3565, 4804, 6217, 6974, 7626, 113, 1695, 2927, 3193, 4374, 5665, 6539, 8006, 803, 1570, 2470, 3751, 5150, 5557, 7122, 7764, 862, 1349, 3116, 3475, 5019, 5768, 6866, 7515, 668, 1938, 2881, 3417, 4995, 5929, 7142, 7350, 693, 2067, 2282, 3191, 4911, 6178, 6382, 7823, 407, 1557, 2924, 3601, 4756, 5551, 6798, 7888, 730, 2067, 2848, 3714, 4678, 5983, 7164, 8190, 1001, 1843, 2881, 4035, 4934, 5512, 7061, 8124, 738, 1547, 2900, 3840, 4364, 5982, 6783, 7647, 981, 1426, 2719, 3791, 4678, 5325, 6591, 8162, 371, 1146, 3011, 3993, 4237, 6217, 6947, 7951, 938, 1183, 2452, 3714, 4741, 6025, 6995, 7349, 770, 1740, 2556, 4041, 4678, 5516, 6512, 7962, 1063, 1183, 3010, 3547, 4292, 5316, 6890, 8090, 508, 1290, 3140, 3934, 4949, 5619, 6343, 7305, 235, 1183, 2532, 3878, 5175, 6070, 6684, 8164, 371, 1183, 2631, 3493, 4369, 5775, 6746, 7820, 1022, 1183, 2613, 4044, 4210, 5285, 7095, 8213, 1063, 1183, 3047, 4172, 4332, 5899, 6751, 7603, 970, 1183, 2731, 3755, 4949, 5757, 6335, 7688, 1081, 1407, 3140, 4099, 4895, 5797, 6410, 7658, 804, 1777, 2984, 3982, 4925, 5702, 6980, 8209, 818, 1467, 3095, 4011, 4980, 5340, 6668, 7476, 186, 2041, 2899, 3710, 4551, 5687, 7149, 8267, 186, 2017, 2984, 4108, 5038, 5241, 6771, 8260, 818, 2017, 2781, 4071, 4888, 5901, 7201, 8179, 818, 2017, 2914, 3893, 4888, 5635, 7226, 7766, 818, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 818, 1622, 2164, 3893, 4888, 6139, 6794, 7766, 818, 1528, 2164, 3825, 4888, 6186, 6794, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7124, 8223, 915, 2017, 2833, 3825, 4624, 6139, 6996, 7766, 915, 2111, 2806, 3825, 4798, 5534, 6794, 8223, 818, 1648, 2164, 3891, 4624, 6139, 7226, 8196, 488, 1528, 2833, 3893, 4624, 6139, 6589, 8196, 488, 1648, 2806, 3893, 4870, 6139, 7124, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8147, 488, 2017, 3065, 3825, 4624, 6139, 6794, 7766, 4, 2 ]

[ 1, 16, 54, 39, 28, 16, 52, 5, 66, 73, 5, 63, 44, 78, 45, 64, 66, 5, 14, 54, 5, 44, 42, 78, 17, 52, 66, 16, 54, 66, 5, 45, 53, 62, 16, 52, 64, 5, 5, 3, 1011, 1770, 2636, 3994, 4226, 6025, 6376, 7899, 1011, 1496, 2984, 4164, 4575, 5251, 7144, 7516, 473, 1664, 2793, 3643, 4387, 5641, 6945, 7704, 508, 1356, 2984, 3702, 4214, 5810, 6557, 8077, 774, 1426, 2819, 4128, 5103, 6093, 6849, 7770, 556, 1440, 2845, 3700, 4842, 5794, 6511, 7284, 1023, 1226, 2173, 3875, 4457, 5397, 6469, 7535, 1036, 1261, 2847, 3343, 5071, 5447, 6295, 8128, 314, 2008, 2140, 3520, 4539, 6061, 6411, 7385, 363, 1440, 2580, 3474, 4935, 6052, 6828, 7606, 271, 1120, 3075, 4005, 4225, 5408, 6546, 8156, 970, 1688, 3080, 4087, 4773, 5737, 7002, 7515, 970, 1807, 2716, 3484, 4861, 5491, 6403, 8244, 395, 1241, 3040, 3368, 4314, 6078, 6692, 7617, 282, 2081, 2665, 4084, 4887, 5770, 6372, 7670, 557, 1695, 3127, 3600, 4333, 5261, 6704, 8146, 1023, 1249, 2250, 4087, 5043, 6116, 6491, 7442, 1004, 1550, 3019, 3853, 4321, 5521, 7072, 7682, 632, 1529, 2638, 3888, 4576, 5257, 6610, 7771, 557, 1550, 2799, 4082, 5182, 5875, 6711, 7551, 862, 1164, 2274, 3796, 4717, 5257, 6623, 7773, 504, 1472, 2567, 3314, 4191, 5697, 6980, 7682, 1097, 1318, 3147, 3796, 4611, 5294, 7012, 8110, 356, 1675, 2661, 3777, 5141, 5369, 6350, 7584, 100, 1630, 3112, 3420, 4945, 5235, 7114, 7574, 1067, 2066, 2485, 3398, 4539, 6068, 6762, 7791, 386, 1469, 2349, 3414, 4539, 6213, 6255, 7496, 504, 2070, 2836, 3872, 5158, 6118, 6798, 7823, 725, 1469, 2492, 3167, 4483, 5342, 6820, 7910, 465, 1318, 2173, 4021, 4321, 6026, 6528, 7750, 1081, 1141, 2974, 4027, 4656, 6007, 6348, 7565, 484, 1675, 2943, 4096, 4423, 5761, 7090, 7631, 1097, 1467, 2957, 4085, 5085, 5485, 6968, 7949, 256, 1345, 2356, 4089, 4630, 5968, 6422, 8031, 195, 1749, 2730, 3983, 4923, 5797, 6784, 7545, 757, 1519, 2210, 3359, 4870, 6137, 6749, 7677, 752, 1736, 2991, 3812, 5088, 5472, 6302, 8181, 1029, 1918, 2564, 3251, 5070, 5341, 6941, 8183, 936, 2059, 3145, 3276, 4334, 5867, 6267, 8129, 536, 1850, 2207, 3167, 4385, 5550, 6225, 7810, 536, 1512, 2232, 3793, 4361, 6181, 7219, 7852, 104, 1512, 2232, 3793, 4301, 5903, 7090, 8067, 1005, 1773, 3092, 3437, 4501, 5604, 6566, 7799, 1005, 2117, 3075, 3393, 4267, 5212, 6781, 7919, 1029, 1736, 2931, 4078, 4966, 5552, 6734, 7558, 936, 1821, 2432, 3647, 5169, 5930, 6309, 7837, 487, 1510, 2382, 3815, 4354, 5874, 6748, 7250, 487, 1283, 2397, 3423, 4604, 5976, 6267, 7927, 487, 1397, 2183, 3695, 4923, 5929, 6422, 7966, 986, 1397, 2274, 4151, 4620, 5745, 6730, 7480, 807, 1806, 2878, 3793, 5111, 6207, 6626, 8186, 927, 1732, 2499, 3943, 4399, 5283, 6668, 7899, 576, 1881, 2631, 3964, 4813, 5810, 6781, 7852, 228, 1649, 2688, 3949, 4995, 6067, 6892, 7732, 518, 1581, 2826, 3552, 4601, 5276, 7090, 7293, 654, 1620, 2359, 3955, 4205, 6041, 6895, 8099, 518, 1851, 2692, 3671, 5163, 6149, 6544, 8130, 127, 1826, 2221, 3566, 5160, 6075, 6338, 7641, 518, 1961, 2554, 3827, 4589, 5413, 6715, 7865, 715, 1755, 2359, 3929, 4954, 6110, 6998, 7664, 138, 2118, 2708, 4057, 5073, 5543, 6895, 7855, 511, 1711, 2332, 4121, 4717, 5339, 6433, 7995, 1040, 1557, 2349, 3581, 4273, 5289, 6705, 8022, 722, 1210, 3066, 4015, 4588, 5246, 7000, 7435, 730, 1755, 2659, 3755, 4749, 5730, 6939, 7823, 992, 1225, 2448, 3254, 4569, 5415, 6474, 7473, 1080, 1652, 3053, 4034, 4483, 5703, 6624, 8221, 981, 1174, 2897, 3978, 4791, 5771, 6466, 7873, 901, 1978, 3032, 3956, 4661, 6077, 7202, 7736, 654, 2111, 3004, 3929, 4945, 5787, 6520, 7698, 654, 1856, 2833, 3955, 5072, 6103, 7237, 7477, 518, 1756, 2953, 3873, 4942, 5824, 6612, 7876, 518, 1471, 2316, 4125, 4996, 5650, 6715, 8079, 228, 1851, 2833, 3866, 4859, 5352, 6376, 8213, 240, 1756, 2803, 3662, 4859, 6103, 7160, 8130, 240, 1750, 2729, 3595, 4836, 5901, 7069, 8185, 419, 1851, 2659, 3550, 4775, 5493, 6338, 7641, 419, 1874, 2730, 3825, 4798, 6211, 6579, 7715, 518, 2127, 3064, 4071, 4344, 5734, 6589, 7677, 228, 1623, 2669, 4161, 4681, 5730, 6710, 7811, 105, 1332, 2833, 3227, 4918, 5901, 6963, 8237, 186, 1684, 2833, 3914, 4704, 5677, 7232, 7485, 488, 1684, 2164, 3803, 4704, 5677, 6996, 8237, 488, 2017, 3117, 3367, 4624, 5892, 7077, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 201, 1528, 2164, 3825, 4624, 6139, 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, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 419, 1851, 3147, 3407, 4555, 5612, 7077, 7723, 987, 1108, 3033, 4026, 4691, 5536, 6627, 7669, 739, 1349, 2431, 3218, 4689, 5966, 6562, 7454, 714, 1296, 3075, 4138, 4399, 5724, 6801, 7483, 161, 1808, 3003, 4007, 5016, 5454, 6943, 8061, 734, 1695, 3034, 3845, 4457, 5224, 6269, 8254, 247, 1472, 2689, 3882, 4268, 5270, 6552, 8187, 1057, 1397, 2225, 4034, 4834, 5353, 6581, 7365, 104, 1797, 2527, 3634, 4562, 5935, 6525, 8197, 1025, 1494, 2678, 4142, 4807, 6054, 6987, 7951, 993, 1797, 2401, 3380, 4762, 6009, 6849, 7549, 993, 1490, 2688, 3529, 4503, 5490, 6918, 7899, 535, 1349, 2731, 4101, 4321, 6165, 7056, 8215, 1040, 1564, 2751, 3968, 5081, 5261, 6608, 7683, 992, 1388, 2751, 3530, 4800, 5619, 6908, 7826, 1005, 1244, 2801, 3603, 4651, 5843, 6566, 7545, 833, 1876, 2402, 4055, 4215, 6007, 6663, 7627, 804, 1660, 2582, 3226, 4359, 6123, 6286, 7421, 288, 1747, 2833, 3909, 4993, 5204, 7052, 7723, 1056, 1467, 2432, 4068, 4801, 5767, 6613, 7481, 1056, 2125, 2820, 3827, 4619, 5942, 7160, 7806, 452, 1238, 2429, 3549, 4267, 5613, 6735, 8181, 576, 1577, 2720, 4096, 5194, 6149, 6551, 8205, 699, 1186, 2980, 3870, 4945, 6157, 6476, 8173, 1014, 1460, 2594, 3824, 4849, 5519, 6738, 7767, 1014, 1827, 2534, 3576, 4604, 5514, 6426, 8213, 654, 2030, 2924, 3586, 4617, 6180, 6348, 7978, 518, 1945, 2895, 3949, 4386, 5802, 6715, 7677, 127, 1523, 3026, 3488, 4862, 5681, 6443, 7750, 516, 1139, 2565, 3983, 5193, 5573, 6340, 8061, 115, 1553, 2565, 3533, 4917, 5624, 6229, 7313, 1101, 2055, 2248, 3180, 4860, 6054, 6291, 7669, 635, 1496, 2365, 3558, 4493, 5889, 6739, 8065, 900, 1302, 3137, 3559, 5186, 5247, 7000, 7616, 493, 1469, 2835, 3843, 4176, 5273, 7000, 7375, 428, 1912, 2540, 3179, 4984, 5335, 7025, 7910, 558, 1251, 2170, 3479, 5086, 5713, 6306, 7809, 262, 2050, 2824, 4014, 4384, 5938, 6358, 8215, 731, 1316, 2482, 4044, 4441, 5923, 6565, 8170, 731, 1912, 2297, 4041, 5005, 6123, 7222, 7289, 663, 1874, 2866, 3729, 4513, 5780, 6549, 8185, 948, 2067, 2349, 3709, 4226, 5797, 7123, 7870, 959, 1998, 3095, 3352, 4856, 5265, 7028, 7710, 935, 2046, 2167, 3206, 5104, 5219, 6850, 8237, 935, 2017, 3007, 4152, 4828, 5661, 6668, 8066, 518, 1508, 2356, 3819, 4586, 5795, 6256, 7423, 127, 2002, 3131, 3771, 4870, 5908, 6612, 7795, 757, 2111, 2132, 4103, 4513, 5836, 7202, 7806, 216, 1332, 2560, 3975, 4392, 5216, 6576, 7473, 335, 1886, 2659, 3510, 4691, 5987, 6432, 7248, 864, 1509, 2918, 4133, 4267, 5349, 6579, 7594, 547, 1173, 2383, 3931, 4982, 5983, 7221, 7965, 1011, 1761, 3061, 4086, 4999, 5840, 6254, 7792, 678, 1869, 3006, 3540, 5165, 5250, 6648, 7515, 571, 2095, 2960, 3975, 4592, 6211, 7239, 7776, 779, 1992, 3007, 4068, 4980, 6103, 7168, 7311, 512, 1175, 3053, 3188, 5058, 6195, 6709, 7421, 510, 1623, 3006, 4153, 4179, 5761, 6604, 7811, 427, 2000, 2970, 3516, 4343, 6051, 6988, 8260, 555, 1874, 2730, 3550, 4387, 5963, 6584, 8103, 419, 1992, 2941, 3914, 4782, 6149, 7120, 7876, 475, 1706, 2729, 3866, 4681, 5493, 7152, 8126, 103, 1706, 2837, 3964, 4670, 6016, 7135, 7453, 139, 1560, 2718, 3192, 4910, 6029, 6871, 8241, 788, 1550, 2718, 3508, 5145, 5322, 7219, 8236, 1080, 2008, 2268, 3394, 4222, 5656, 6592, 7643, 363, 1942, 2142, 3480, 4975, 6153, 6631, 7900, 640, 2072, 2137, 3521, 4321, 5953, 6385, 7296, 386, 2085, 2484, 3180, 4786, 5622, 6627, 7852, 216, 1110, 2436, 3637, 5053, 5694, 6302, 7811, 401, 1834, 3108, 4115, 4727, 5765, 6850, 7691, 223, 1164, 2860, 4115, 4387, 5235, 6980, 7886, 767, 1302, 2675, 3352, 4556, 5694, 7095, 7649, 401, 2068, 2167, 4145, 4533, 6007, 6871, 8126, 304, 1562, 3043, 3982, 4782, 5832, 6871, 7949, 804, 2000, 3008, 4068, 5129, 6051, 7077, 8260, 915, 1945, 2960, 4174, 4980, 6103, 7084, 7485, 818, 2068, 3128, 3710, 5080, 6051, 6752, 8147, 818, 1622, 3007, 4085, 4366, 6139, 7239, 8179, 1099, 2000, 2991, 4174, 4704, 6051, 7084, 7723, 1020, 1865, 2139, 3637, 4945, 6179, 6430, 7794, 1015, 2088, 3003, 3440, 4980, 5963, 6229, 8077, 776, 1637, 2858, 4171, 4781, 6182, 7157, 7265, 893, 1402, 2296, 3567, 4597, 5613, 6634, 8064, 1067, 1592, 2929, 3241, 4559, 5316, 6998, 8123, 895, 2094, 2294, 3408, 4994, 5306, 6456, 7930, 150, 1389, 2405, 3736, 5190, 5621, 7071, 8037, 1066, 1294, 2348, 3567, 5021, 6118, 7150, 7991, 1025, 2050, 2623, 3890, 4384, 5393, 6582, 7603, 1025, 1955, 3066, 3699, 4925, 5568, 6772, 7972, 1005, 1146, 2338, 3781, 4987, 5631, 6370, 7930, 643, 1318, 2254, 4150, 4477, 6210, 6820, 7718, 887, 1318, 2441, 4155, 4387, 5910, 6382, 7614, 1081, 1499, 2970, 3842, 5003, 5980, 7047, 7870, 288, 1675, 2970, 3201, 5145, 6007, 6988, 7738, 715, 1675, 2868, 4145, 5110, 5923, 6657, 7865, 240, 1519, 2282, 3226, 4877, 5981, 6224, 8061, 654, 1826, 2250, 3648, 5061, 5413, 6584, 7811, 228, 2060, 2554, 3592, 4877, 6149, 6612, 7492, 228, 2060, 2554, 3394, 4877, 6047, 7077, 7732, 518, 1749, 3064, 3586, 4855, 6175, 6889, 7707, 228, 2065, 2554, 3394, 4890, 5981, 6235, 8085, 240, 2002, 2970, 3595, 5135, 5296, 6579, 8236, 256, 2111, 3133, 3770, 4859, 6110, 7152, 7948, 543, 2111, 2221, 3376, 4225, 6157, 7129, 7311, 543, 2058, 2729, 4153, 4996, 5500, 6504, 7677, 186, 1684, 2729, 3277, 5135, 5840, 6579, 7563, 488, 2017, 3117, 3550, 5166, 5612, 6671, 8262, 488, 1528, 3117, 3367, 4624, 5635, 7077, 8196, 488, 1528, 2914, 3893, 4624, 5241, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7226, 8196, 488, 1528, 3065, 3893, 4704, 5635, 7120, 8147, 915, 2017, 3021, 3825, 4798, 6186, 6794, 8196, 915, 1623, 2164, 3914, 4798, 5241, 7120, 8126, 555, 1147, 3064, 4145, 4583, 6182, 7077, 8126, 915, 1622, 3021, 3374, 4798, 5678, 6996, 7485, 915, 1623, 3021, 3825, 4890, 5550, 7124, 7766, 915, 1876, 2970, 3825, 4890, 5635, 6515, 7949, 915, 1147, 2164, 3914, 4624, 6163, 6794, 7717, 915, 1622, 2970, 3827, 4798, 5635, 6996, 7664, 915, 1528, 3021, 3914, 4387, 5241, 7124, 7664, 915, 1147, 2970, 4071, 5088, 5963, 7077, 8080, 915, 2017, 3021, 3825, 4624, 5635, 6794, 8126, 915, 2017, 3021, 3893, 4387, 6186, 7226, 7664, 4, 2 ]

[ 1, 76, 45, 31, 5, 16, 54, 77, 73, 79, 16, 76, 16, 52, 5, 62, 23, 35, 78, 5, 17, 75, 5, 53, 26, 54, 30, 5, 5, 3, 488, 2073, 2340, 3891, 4888, 6211, 7239, 8147, 488, 1833, 2781, 3932, 4583, 5385, 6794, 8223, 142, 1528, 2914, 3893, 4624, 6186, 7077, 8147, 142, 1528, 2914, 3893, 4798, 6186, 7077, 8147, 142, 1528, 2914, 3893, 4798, 6186, 7226, 7766, 488, 1622, 3065, 3893, 4624, 6139, 7226, 8196, 804, 1791, 3135, 4113, 4470, 5340, 6988, 7949, 392, 1399, 2707, 3229, 4387, 5892, 7157, 8062, 314, 1157, 2727, 3475, 4770, 6177, 6321, 7627, 528, 1735, 2271, 3616, 4413, 6015, 6680, 7756, 920, 2048, 2678, 3623, 5011, 5874, 6763, 8044, 952, 1798, 3137, 3842, 4371, 5361, 7229, 8048, 1029, 1596, 2693, 3167, 4237, 5448, 6581, 7918, 536, 1596, 2553, 3167, 4495, 6002, 6838, 8130, 536, 1402, 2323, 3310, 4469, 6052, 6550, 7900, 462, 1509, 2452, 3600, 4321, 5315, 7059, 7273, 640, 1537, 3040, 3505, 5031, 5477, 7076, 8189, 737, 1812, 2758, 3416, 4539, 6119, 6392, 8226, 314, 1440, 3010, 3745, 4338, 5852, 7178, 7496, 1101, 1821, 2953, 3463, 4364, 5454, 7068, 7451, 845, 1296, 2725, 3692, 4604, 5814, 6764, 8149, 401, 1626, 2298, 3195, 4208, 5595, 6626, 7881, 504, 1797, 2279, 3932, 4186, 5573, 6850, 7262, 223, 1543, 2135, 4096, 5085, 5615, 6566, 7367, 1033, 1296, 3001, 3361, 4531, 5954, 7114, 8022, 986, 1747, 2961, 3600, 4952, 5398, 6480, 7248, 582, 1363, 2534, 3416, 5031, 5802, 6224, 7614, 1025, 1550, 2814, 3392, 4539, 5584, 6748, 7386, 986, 1717, 2708, 4072, 4770, 5600, 7222, 8047, 487, 1550, 2828, 4043, 4620, 5610, 6651, 7973, 582, 1778, 2440, 3631, 4421, 5733, 6349, 7494, 781, 1550, 2646, 3236, 4615, 5632, 6763, 7704, 769, 1550, 2402, 3245, 4381, 5864, 6234, 7973, 653, 1621, 2282, 3838, 4985, 5884, 6683, 8178, 856, 1826, 2339, 3495, 4489, 6135, 6507, 8181, 1006, 1826, 2829, 3264, 4818, 5755, 6976, 7812, 1006, 1828, 2395, 3921, 4418, 5407, 6879, 7697, 722, 1463, 2339, 3245, 4506, 5738, 6871, 7563, 722, 2061, 2846, 3748, 4658, 6221, 7143, 8169, 722, 2061, 2876, 3707, 5088, 5368, 6914, 8227, 722, 2056, 2234, 3251, 4793, 5321, 7082, 8214, 722, 1871, 2137, 3586, 4587, 5643, 6609, 8047, 722, 1770, 2658, 3426, 4495, 5520, 7203, 7641, 1064, 1299, 3063, 3475, 4929, 5774, 6822, 7509, 1003, 1510, 2607, 3651, 4385, 5905, 6903, 8019, 582, 1373, 2210, 3410, 4224, 5548, 6292, 8107, 1062, 1281, 2543, 3785, 4954, 5884, 6880, 7954, 103, 1305, 2335, 4102, 4539, 6199, 7133, 7823, 118, 1370, 2701, 3160, 4364, 5689, 6702, 8108, 495, 1971, 2252, 3232, 4595, 5350, 6732, 7839, 1102, 1971, 2473, 3232, 4896, 5215, 6732, 7473, 223, 1421, 2309, 3646, 4549, 5609, 7188, 7945, 537, 1509, 2710, 3975, 5040, 5594, 7030, 7878, 1047, 1982, 2207, 4043, 4801, 5551, 6516, 8046, 716, 1120, 2655, 3556, 4675, 5616, 7222, 7817, 864, 2035, 2592, 3752, 4963, 5315, 6977, 7410, 1024, 1776, 2137, 3981, 5184, 5574, 7133, 8006, 1008, 1912, 2137, 4150, 4755, 5379, 6632, 8157, 864, 1503, 2764, 3727, 4376, 5257, 6928, 7965, 1024, 1776, 3040, 3153, 4545, 5362, 6813, 7519, 547, 1440, 2592, 3623, 5010, 5321, 6642, 7957, 970, 2061, 3108, 3477, 4971, 5863, 6507, 7787, 955, 1120, 2359, 3681, 5003, 5775, 6838, 7949, 512, 1700, 2989, 3717, 4782, 5378, 6349, 8076, 510, 2068, 3043, 3492, 5165, 5378, 7168, 7723, 935, 1992, 3064, 3866, 4888, 6025, 6776, 8267, 914, 1992, 2880, 4011, 5104, 6014, 6734, 8237, 935, 1992, 2781, 3188, 5058, 6014, 6688, 7949, 935, 1847, 3065, 3987, 4822, 5661, 6604, 8260, 541, 2076, 2137, 3358, 4423, 5673, 6472, 8036, 473, 1468, 2813, 3376, 4389, 6204, 7188, 7266, 579, 1183, 3003, 3388, 4762, 5515, 6671, 8224, 752, 1503, 2792, 3781, 4449, 5893, 6226, 7420, 840, 1503, 2280, 3310, 4857, 5787, 6351, 8052, 485, 1812, 2869, 3729, 4394, 6180, 7039, 7684, 1101, 1503, 2397, 3735, 4330, 6138, 6306, 7748, 840, 1183, 2307, 4165, 4550, 5666, 7137, 8086, 262, 1592, 2519, 3700, 4991, 5515, 6798, 8238, 266, 1737, 2152, 3409, 5040, 5902, 6240, 7983, 150, 1226, 2721, 3538, 4826, 6167, 7072, 7458, 643, 1387, 3001, 4147, 4917, 5511, 6470, 7400, 1029, 1302, 2321, 3536, 4558, 6023, 6725, 7721, 504, 1469, 2958, 3721, 4991, 5750, 6555, 7959, 1024, 1548, 2502, 3722, 5040, 6146, 6973, 7690, 386, 1641, 2439, 3718, 4902, 5850, 7127, 7686, 271, 1955, 2710, 3427, 4825, 6202, 6772, 7886, 938, 1400, 2515, 3751, 4278, 5904, 6502, 8251, 1067, 1141, 2515, 3751, 4376, 5704, 6466, 8217, 761, 1797, 2678, 3751, 4667, 6060, 6679, 7393, 643, 1435, 3085, 3751, 4902, 5314, 6602, 7816, 613, 1826, 2272, 3746, 4691, 5513, 6562, 7494, 225, 2105, 2922, 4079, 4539, 5481, 7125, 8082, 518, 1734, 2798, 3366, 4913, 6006, 6677, 8034, 518, 1734, 2961, 3224, 4214, 6010, 6291, 7570, 518, 1529, 3110, 3540, 4522, 5863, 7091, 8262, 901, 1238, 2817, 3680, 4882, 6001, 6715, 7919, 1033, 1183, 2543, 3420, 4343, 5325, 6605, 7411, 1067, 2011, 2933, 3648, 4321, 5662, 6746, 7889, 1080, 1548, 2455, 4008, 4364, 5775, 6401, 7892, 1029, 1490, 3085, 3500, 4716, 6106, 6414, 7676, 645, 2069, 2361, 4005, 4496, 5701, 6935, 7768, 1081, 2125, 2971, 4098, 4224, 6146, 7007, 8054, 512, 1458, 2520, 3826, 5080, 5858, 6688, 7715, 308, 2000, 2941, 3540, 5104, 5630, 6967, 7723, 308, 1998, 2947, 3914, 5159, 6063, 7058, 7720, 684, 1218, 2783, 3866, 4589, 5630, 6979, 7421, 390, 1924, 2946, 3932, 4551, 6164, 7058, 7732, 390, 1998, 2895, 4027, 4980, 6147, 7006, 8126, 731, 1881, 2991, 3929, 4533, 5694, 6458, 8226, 160, 2001, 3064, 3440, 5080, 6000, 6308, 8179, 223, 1777, 3112, 3977, 5038, 5413, 6988, 8083, 887, 2008, 2963, 3916, 5088, 5413, 6615, 8072, 887, 2008, 2389, 3610, 4374, 5898, 6614, 8172, 150, 1540, 2503, 3793, 4427, 6085, 7017, 7478, 150, 1878, 2939, 3174, 5023, 6144, 6719, 7598, 535, 2050, 2141, 3936, 4678, 6020, 6669, 8159, 920, 2050, 3010, 3244, 5086, 5332, 7175, 7438, 508, 1990, 2540, 3967, 4709, 5876, 6306, 8152, 660, 1183, 3019, 3549, 5111, 6221, 6426, 7613, 1040, 1183, 2527, 3168, 4873, 5398, 6828, 7341, 536, 1608, 3040, 3743, 5071, 5744, 6540, 7904, 508, 1751, 3040, 3287, 4824, 5293, 6449, 8254, 508, 1609, 3040, 3192, 4720, 5791, 6521, 8098, 880, 1316, 2593, 3356, 4306, 5335, 7242, 7275, 1040, 1770, 2751, 3356, 4879, 5598, 6396, 7817, 880, 1984, 3003, 3464, 4239, 5341, 6354, 8231, 1040, 1316, 3029, 3533, 4678, 5244, 6286, 8197, 572, 1132, 2561, 3394, 4899, 5325, 6482, 8006, 459, 2095, 2588, 3770, 4913, 5960, 6969, 8202, 981, 1397, 2514, 3169, 5188, 6070, 7160, 8050, 918, 1732, 2884, 3463, 4571, 5847, 6716, 8189, 1049, 1706, 2916, 3801, 4804, 6119, 6856, 7983, 487, 1324, 2355, 3915, 4354, 6080, 6947, 8081, 692, 1397, 2316, 3563, 4897, 5810, 6623, 7887, 569, 1286, 3149, 3623, 4456, 6145, 6680, 8105, 831, 1269, 3039, 4151, 4912, 5929, 7051, 7986, 1025, 1671, 2436, 3222, 4981, 5878, 6744, 8097, 150, 1878, 2429, 3514, 4706, 5557, 6781, 7669, 104, 1660, 2429, 3875, 4530, 5382, 6286, 7890, 826, 1110, 2429, 3455, 4402, 5269, 6426, 7962, 408, 1509, 3033, 3910, 4308, 6002, 7008, 7582, 850, 1773, 2429, 3717, 4700, 5761, 7018, 7944, 610, 1809, 2678, 3917, 4912, 5344, 7220, 8107, 1090, 1363, 2678, 3642, 5166, 5219, 6871, 7367, 1057, 1817, 2646, 3922, 4849, 6165, 6338, 7962, 876, 1826, 2974, 4007, 4443, 6009, 6426, 7362, 1019, 2118, 2559, 3741, 4467, 5378, 7198, 7930, 1062, 1453, 2695, 3210, 5070, 6015, 6838, 7397, 211, 1984, 2746, 3982, 4792, 6034, 7086, 8044, 804, 1851, 2593, 4078, 5135, 5824, 6443, 7908, 1099, 1856, 3135, 4074, 4387, 6129, 6634, 7528, 818, 1620, 3022, 3440, 4888, 5832, 6996, 8185, 201, 1528, 2803, 3803, 4704, 5210, 7239, 8267, 818, 2017, 3008, 3945, 5058, 6139, 6786, 8066, 818, 1648, 2914, 4018, 4551, 6139, 6794, 7766, 818, 1528, 3065, 3891, 4624, 6129, 7132, 8080, 915, 1528, 2914, 3914, 4870, 6186, 7201, 7766, 555, 1648, 2775, 4171, 4798, 6139, 7100, 8126, 4, 2 ]

[ 1, 62, 11, 62, 77, 16, 52, 35, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 7077, 7485, 142, 1528, 2914, 3825, 4704, 6139, 7077, 7766, 488, 2017, 3065, 3825, 4624, 6139, 6979, 8196, 833, 1992, 2925, 4026, 4179, 6128, 6265, 7887, 1015, 2041, 2970, 3487, 5159, 5315, 6604, 7899, 650, 1490, 2998, 3696, 4906, 5543, 6894, 7733, 553, 1199, 2409, 4081, 4404, 5539, 7212, 7265, 983, 1582, 2553, 4173, 4499, 5454, 6537, 7699, 1050, 1402, 2173, 3527, 4946, 5337, 6523, 7910, 1050, 2036, 2173, 3683, 4550, 5938, 7022, 7933, 536, 1757, 2173, 3252, 4298, 6020, 6519, 7400, 288, 1407, 2946, 3361, 4241, 5880, 6693, 8078, 956, 1635, 2944, 3918, 4265, 5523, 6849, 8240, 337, 1620, 3150, 3886, 4861, 6063, 7239, 7856, 984, 1534, 2493, 3645, 4861, 5968, 7109, 7895, 984, 1998, 2860, 3983, 4970, 6063, 6786, 8267, 984, 1924, 2834, 4171, 5058, 5705, 6979, 7949, 617, 2098, 2957, 3420, 4949, 5918, 7162, 7720, 757, 1736, 2820, 3973, 5153, 5580, 6740, 7895, 103, 1797, 3108, 3662, 4870, 5840, 6603, 8066, 304, 1794, 3021, 3929, 5115, 5802, 7002, 7367, 103, 1999, 2422, 3358, 4848, 5981, 6579, 8103, 1025, 1918, 2601, 3601, 4845, 6123, 6965, 7401, 993, 1942, 2484, 3165, 4444, 5574, 7014, 7969, 993, 1249, 2482, 3368, 4352, 5643, 6692, 7510, 535, 1826, 2348, 3262, 4364, 6012, 6706, 7270, 620, 2105, 2933, 3233, 4683, 5902, 6925, 7849, 271, 1426, 2369, 3310, 4765, 5272, 6592, 7581, 582, 1489, 2296, 3706, 5100, 5610, 6952, 7376, 404, 1199, 3149, 4007, 4651, 5587, 6736, 7284, 536, 1296, 3149, 3233, 4546, 6008, 7114, 7608, 492, 2084, 2376, 3504, 4238, 5341, 6564, 7686, 247, 1934, 2689, 3239, 5031, 5769, 6485, 8050, 247, 1212, 2486, 3943, 5049, 5223, 6983, 7610, 247, 2059, 2848, 4027, 4809, 5681, 6433, 7365, 458, 2059, 2203, 4008, 4694, 6080, 6916, 8230, 730, 1296, 2506, 3354, 4351, 5639, 6628, 7534, 458, 1778, 3091, 3843, 4241, 5676, 6659, 7954, 493, 1812, 2564, 3394, 4720, 5653, 6622, 7987, 493, 1858, 2133, 3448, 4351, 5570, 7222, 7503, 494, 1826, 2766, 3159, 4687, 6220, 6675, 7402, 738, 2059, 2546, 4008, 5008, 5825, 6717, 7767, 738, 2065, 2794, 3770, 4344, 6009, 6578, 8252, 1047, 1309, 2959, 3770, 4828, 5378, 6380, 7414, 512, 1218, 2959, 3226, 4980, 6007, 6820, 7865, 571, 2065, 2391, 4166, 4181, 5219, 7100, 7563, 935, 2017, 3043, 3206, 5061, 5385, 7006, 7720, 935, 2111, 3088, 4174, 4792, 6131, 7120, 8066, 935, 2000, 3109, 3803, 4798, 5661, 7006, 7723, 186, 2017, 2984, 4071, 4980, 5901, 7006, 7485, 186, 2017, 2834, 3893, 4980, 5630, 7077, 7766, 935, 2017, 2391, 3891, 5129, 6129, 7006, 7723, 818, 1648, 2781, 3891, 4798, 5630, 7077, 8080, 555, 2017, 2806, 3891, 4888, 6081, 7077, 8223, 915, 2111, 2914, 3914, 4583, 5901, 7226, 8080, 915, 1648, 2554, 3914, 4798, 6186, 7226, 7831, 555, 1750, 2833, 4071, 4512, 6139, 7124, 8223, 555, 1750, 2833, 4071, 4512, 6081, 7069, 7766, 555, 1750, 3065, 3891, 4512, 5635, 6515, 7732, 555, 1750, 3065, 3891, 4622, 5635, 6584, 8080, 555, 2111, 2970, 3827, 4624, 5981, 6584, 8196, 915, 2111, 3021, 4071, 4512, 5413, 6589, 7485, 915, 1528, 2833, 3893, 4622, 5550, 7124, 8147, 4, 2 ]

[ 1, 14, 78, 5, 76, 17, 54, 5, 17, 75, 5, 16, 54, 51, 11, 53, 16, 54, 5, 28, 63, 26, 66, 54, 16, 64, 5, 76, 69, 30, 5, 64, 66, 63, 48, 53, 5, 16, 51, 63, 20, 64, 5, 43, 45, 78, 5, 62, 14, 67, 3, 797, 1468, 2833, 3374, 4704, 6211, 7077, 8147, 186, 1648, 2833, 3825, 5060, 6186, 7124, 8147, 488, 1648, 2781, 3825, 4624, 5241, 7077, 7766, 488, 1844, 2949, 4071, 5139, 6211, 7124, 8223, 555, 1648, 2164, 4018, 5060, 5832, 7124, 7723, 256, 1108, 2771, 3987, 5088, 5694, 6909, 8252, 294, 1375, 2390, 3775, 4611, 5750, 6681, 7559, 323, 1401, 2346, 3666, 4982, 5668, 6224, 7650, 623, 1679, 3074, 3824, 5081, 5991, 6963, 8140, 769, 1881, 3097, 3984, 4503, 5397, 7198, 7823, 1033, 1422, 2271, 3578, 4855, 5610, 6799, 7659, 654, 1745, 2980, 3329, 4900, 5574, 6286, 7915, 240, 1190, 2335, 3983, 4351, 6017, 6860, 7547, 228, 1139, 2792, 3723, 4435, 6131, 6848, 8209, 225, 1925, 3046, 3171, 5127, 5844, 6631, 7945, 757, 1171, 2791, 3916, 4923, 5320, 6589, 7405, 871, 1547, 3147, 4154, 4582, 5844, 6756, 7454, 1037, 1723, 2783, 4041, 4490, 6005, 7162, 8046, 980, 1747, 3098, 3564, 5053, 6123, 6472, 7515, 776, 1878, 2860, 3339, 4782, 6137, 7090, 7870, 390, 2003, 2356, 4082, 4713, 5216, 7084, 7959, 776, 1873, 2771, 3880, 4856, 6192, 6272, 7898, 976, 1669, 2547, 3740, 5176, 5474, 7141, 8058, 1067, 1897, 2361, 3463, 4609, 5376, 6441, 7860, 569, 1325, 2705, 3741, 4507, 5443, 7204, 8255, 897, 1469, 2670, 3972, 5180, 5352, 6692, 7754, 492, 1469, 3034, 3287, 4932, 5231, 7091, 7823, 247, 1728, 2532, 3267, 4399, 6044, 6278, 7850, 535, 1199, 2258, 3481, 5103, 5501, 7042, 7986, 535, 1199, 2579, 3992, 4604, 6152, 6754, 7925, 610, 2048, 2681, 3826, 4315, 5701, 6350, 7724, 826, 1771, 2905, 3992, 4214, 5714, 6929, 7976, 150, 2048, 2868, 3605, 4846, 5713, 6995, 7815, 150, 1878, 2741, 3154, 4399, 5601, 6775, 7858, 1101, 1609, 2564, 3854, 4658, 5344, 6734, 7467, 465, 1183, 2741, 3936, 4741, 5759, 6945, 7478, 774, 1407, 3040, 3469, 5017, 5810, 6795, 7758, 368, 1311, 2260, 3486, 4425, 6104, 6422, 8106, 339, 1572, 2876, 3486, 4617, 5427, 6438, 8137, 1011, 1380, 2173, 3697, 4369, 5886, 6348, 7815, 980, 1833, 2136, 3540, 4387, 5598, 6304, 7652, 789, 1878, 3053, 3982, 4872, 5610, 6671, 8112, 440, 1587, 2605, 4041, 4353, 5750, 7048, 7918, 440, 1525, 2340, 3909, 4923, 6160, 6611, 8026, 568, 2073, 2970, 4151, 5153, 5845, 6412, 7773, 537, 1752, 2352, 3953, 4276, 5938, 7004, 8034, 1056, 1589, 2391, 4098, 4931, 6146, 6810, 8260, 186, 1475, 2860, 4166, 5129, 6195, 6936, 7563, 488, 2017, 2781, 3645, 4704, 6129, 6668, 8066, 818, 2017, 3135, 3893, 4888, 5694, 6972, 7806, 186, 1528, 2806, 3886, 5061, 5612, 7226, 7631, 1094, 1898, 2839, 3578, 4713, 6206, 7024, 7846, 485, 1544, 2574, 4147, 4534, 5315, 6963, 7275, 249, 1926, 2673, 3578, 4544, 5565, 6731, 8171, 247, 1183, 2308, 3652, 4379, 5791, 7015, 7670, 973, 1183, 2580, 3580, 4274, 5867, 7106, 8090, 640, 1398, 2933, 3192, 4755, 5348, 7158, 7943, 784, 2059, 2531, 3777, 5128, 5859, 7028, 7341, 150, 2059, 2183, 3878, 4531, 6118, 7074, 7568, 955, 1670, 2924, 3183, 5134, 5539, 6340, 7992, 643, 1227, 2163, 3948, 4374, 5942, 6852, 8256, 150, 1820, 2868, 3908, 4713, 5366, 6579, 8068, 1025, 1797, 2506, 3472, 5194, 5204, 7140, 7914, 223, 1721, 2741, 3656, 4983, 6050, 6916, 7873, 504, 1407, 3126, 3605, 4828, 5903, 7002, 7602, 1029, 1773, 2741, 3671, 4713, 6175, 7114, 8227, 401, 1543, 2440, 3751, 5193, 6171, 6613, 7557, 304, 1356, 3006, 3949, 4622, 5548, 7149, 7481, 981, 2033, 2656, 4124, 5133, 5315, 7086, 7680, 211, 1924, 3060, 3932, 4630, 5210, 7168, 7876, 308, 1924, 3144, 4145, 5085, 5978, 7019, 8076, 915, 1804, 2340, 4145, 5080, 6182, 7010, 7949, 555, 1623, 2991, 3886, 4583, 6129, 6709, 7919, 1011, 1141, 3109, 4026, 4691, 5661, 6810, 8188, 175, 1736, 2818, 3732, 4852, 5734, 6830, 7312, 175, 1770, 2925, 3407, 4873, 5220, 6376, 7962, 579, 2002, 2880, 3528, 4679, 5413, 6224, 7776, 1015, 2002, 3038, 4168, 5011, 5880, 7074, 7716, 171, 2061, 3095, 3671, 5160, 5923, 7085, 7778, 1071, 1939, 3043, 3704, 5138, 5702, 7084, 7269, 611, 1643, 2706, 3431, 4709, 5206, 6962, 7942, 492, 1818, 2256, 3394, 4439, 5691, 6930, 7724, 840, 1183, 2256, 3295, 4246, 5624, 7094, 7644, 271, 1157, 2240, 3685, 4678, 6067, 7181, 7866, 895, 1913, 2141, 3498, 4969, 5410, 6324, 8031, 104, 1797, 2482, 3509, 4438, 6063, 7217, 7862, 104, 1717, 2207, 3832, 4349, 5589, 6769, 7873, 887, 2033, 2610, 3391, 4900, 6120, 7035, 8209, 150, 2033, 3147, 4064, 4364, 5816, 7100, 7641, 1101, 1966, 2348, 3649, 4565, 5286, 7004, 7261, 1029, 2059, 3066, 3788, 4918, 6125, 6546, 8102, 1033, 1794, 2222, 4150, 4374, 5223, 6914, 8227, 731, 2081, 2536, 4082, 5106, 5953, 6894, 7607, 304, 1812, 2741, 3975, 4536, 5539, 7010, 7677, 150, 1637, 2708, 4041, 5124, 5314, 6874, 7992, 970, 1773, 2506, 3819, 5193, 5379, 6286, 7256, 401, 2068, 3026, 3910, 4579, 5344, 6668, 7893, 304, 1356, 3146, 3671, 5183, 5573, 7132, 7584, 304, 2000, 2803, 3374, 4179, 5219, 7047, 7887, 1090, 1721, 2567, 3886, 4829, 5899, 6918, 8126, 779, 1330, 2167, 3516, 5038, 5694, 7077, 7421, 1097, 2046, 2167, 4108, 4849, 5241, 7218, 8147, 1099, 1963, 3043, 4114, 5038, 6205, 6709, 8179, 1097, 2000, 2838, 4108, 4630, 5635, 7201, 8237, 1099, 1620, 2957, 3990, 4798, 5241, 7058, 8260, 512, 2046, 2880, 3990, 5061, 6129, 6786, 7948, 959, 1827, 2838, 4114, 4925, 5893, 6302, 7887, 942, 1198, 2469, 3671, 4337, 5918, 7141, 7265, 942, 1777, 2254, 3430, 5020, 5637, 6959, 8085, 1035, 1424, 2971, 3175, 4343, 5313, 6901, 7776, 639, 2052, 2874, 3413, 4216, 5684, 7018, 7367, 868, 1919, 2440, 3240, 4579, 6073, 6235, 8061, 113, 1490, 2173, 3839, 4436, 6089, 6447, 8095, 247, 1609, 2724, 3326, 5022, 5798, 6669, 7491, 247, 1349, 2476, 3936, 4219, 5819, 7030, 8096, 487, 1302, 2352, 3495, 4748, 5665, 6449, 8166, 1025, 1550, 3005, 3723, 4635, 5765, 7229, 7831, 211, 1708, 2601, 3560, 5073, 6058, 6740, 8187, 105, 1467, 2741, 3596, 4435, 5210, 6972, 8185, 956, 1974, 3110, 3990, 4918, 5702, 6972, 7260, 488, 2000, 2781, 3803, 4888, 6103, 6709, 7720, 956, 2000, 2880, 3990, 4888, 6205, 6786, 8267, 818, 1528, 2960, 3886, 5080, 6211, 6996, 8076, 935, 1620, 2783, 4011, 5139, 6211, 6972, 8260, 818, 1528, 3110, 4018, 5058, 6211, 7226, 7949, 1099, 1620, 3008, 4174, 4888, 6081, 7218, 8196, 940, 1533, 3149, 3932, 4918, 5661, 6566, 7631, 955, 1924, 3008, 3975, 5183, 5630, 6302, 7631, 1035, 1948, 2893, 4064, 4259, 5668, 7219, 8173, 113, 1472, 2492, 3446, 4601, 5981, 6815, 7959, 620, 1252, 2238, 3517, 4811, 6119, 6663, 7815, 995, 1494, 2156, 3234, 4946, 6126, 7181, 7860, 692, 1881, 2741, 4073, 4919, 6002, 6702, 7441, 620, 1472, 2695, 3605, 5050, 5276, 7055, 7852, 1011, 1510, 3097, 3371, 4364, 5804, 7082, 7805, 453, 1116, 2677, 3723, 4829, 5790, 6476, 7462, 225, 1570, 3139, 3475, 4904, 5830, 6860, 8070, 654, 1550, 2340, 4111, 4877, 5515, 6584, 7291, 654, 2106, 2473, 3394, 5159, 5262, 7207, 8006, 654, 2106, 2554, 3857, 5167, 5624, 6604, 8195, 654, 2106, 2221, 3891, 4326, 5668, 6581, 8130, 654, 2118, 3147, 3394, 4764, 5733, 7103, 7677, 654, 2061, 2560, 3227, 5075, 5719, 7246, 7906, 225, 2061, 3068, 3933, 4412, 5333, 6610, 7537, 228, 2061, 2775, 3535, 4890, 5942, 7082, 8126, 228, 1853, 2775, 3376, 4459, 5942, 7082, 8262, 228, 1750, 2554, 4153, 4985, 5413, 7024, 8147, 256, 2127, 3062, 3838, 5138, 5515, 6604, 8130, 240, 1826, 2608, 4153, 5190, 5493, 6296, 8125, 256, 1750, 3133, 3277, 5179, 5892, 6900, 7732, 543, 2111, 2946, 4125, 4267, 5514, 6740, 8262, 555, 2061, 2833, 3470, 5135, 5241, 6515, 7716, 488, 2111, 2654, 4174, 4859, 5892, 6810, 7865, 488, 1622, 2806, 3595, 4398, 5515, 6794, 8126, 488, 1528, 3065, 3825, 4624, 6139, 6612, 8196, 488, 1528, 3065, 3825, 4624, 6139, 7226, 8196, 915, 2017, 2164, 3825, 4798, 5677, 7124, 8196, 488, 1648, 2914, 4071, 4512, 6139, 6794, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 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, 3893, 4798, 6186, 7124, 8223, 488, 1648, 3065, 3893, 4624, 6139, 7124, 8223, 308, 1804, 3135, 3893, 4822, 6182, 6972, 7563, 752, 1407, 2287, 3895, 5083, 5436, 6830, 7764, 803, 1444, 3005, 4173, 5155, 5903, 6886, 7605, 459, 1670, 2347, 4043, 4638, 5752, 6717, 8131, 893, 1773, 3066, 3532, 4954, 5283, 7033, 7567, 893, 1721, 2868, 4021, 4638, 5656, 6348, 8253, 691, 2053, 2188, 3662, 4308, 5390, 6921, 7795, 308, 1459, 2783, 3788, 4512, 5836, 7095, 7918, 1099, 1508, 2947, 4071, 4822, 5705, 6646, 8237, 186, 1620, 3022, 4085, 4366, 6051, 6752, 8147, 105, 1635, 2356, 3983, 4881, 5548, 6604, 7707, 195, 1345, 2473, 3737, 4238, 5643, 6749, 7707, 195, 1525, 3074, 3227, 4240, 6191, 7058, 7868, 195, 1524, 2252, 3761, 4298, 5689, 6840, 7720, 225, 2060, 2542, 3218, 4387, 5925, 6715, 7706, 195, 1129, 2833, 3838, 4398, 5678, 7232, 7816, 225, 1108, 2186, 3344, 4916, 5892, 6964, 8129, 225, 1597, 2992, 3623, 4423, 5942, 7129, 7781, 225, 1375, 3064, 3838, 4298, 5678, 7006, 8102, 518, 1597, 2593, 3967, 5083, 6000, 6296, 7605, 518, 1974, 3064, 3980, 4780, 5908, 7232, 7838, 256, 1706, 2683, 3570, 5128, 5767, 6677, 7262, 256, 1490, 2839, 3687, 4205, 5534, 7058, 7563, 878, 1641, 2609, 3856, 5138, 5386, 7103, 8093, 617, 1490, 3035, 3420, 4762, 5942, 6584, 7585, 274, 1300, 2880, 3376, 4529, 5705, 6604, 7405, 591, 1736, 2282, 3681, 4423, 5899, 7103, 7411, 541, 1689, 2573, 3994, 4392, 5734, 7194, 8261, 318, 1157, 2316, 4064, 5026, 6147, 6328, 7952, 840, 2121, 2545, 3642, 5138, 5880, 7162, 7498, 271, 1833, 2352, 3532, 4369, 6056, 6835, 8013, 492, 1736, 2543, 3521, 4943, 6197, 6438, 7833, 1006, 1510, 2945, 3647, 4409, 5827, 6224, 8265, 545, 1510, 2607, 3637, 4902, 5942, 7117, 7713, 487, 1807, 2396, 3566, 4644, 5388, 6224, 7975, 545, 1234, 2867, 3172, 4885, 5479, 6683, 7687, 582, 1778, 2867, 4096, 4421, 5972, 6224, 7732, 807, 1826, 2456, 3224, 4918, 6069, 6438, 7488, 487, 1771, 2678, 3727, 4381, 6135, 6302, 7488, 1025, 1674, 3075, 3251, 4602, 5454, 7158, 7304, 1025, 1296, 3149, 3796, 5145, 5341, 6302, 7442, 993, 2019, 2436, 4072, 4592, 5205, 6485, 8092, 826, 1550, 2348, 3424, 4189, 5573, 6879, 7648, 986, 1978, 2381, 3674, 4359, 5843, 6614, 7515, 160, 1640, 2975, 3892, 4282, 5378, 6938, 8117, 424, 1931, 2944, 3430, 4691, 5899, 7058, 7918, 850, 1146, 2436, 4145, 4807, 5930, 6810, 8093, 778, 1255, 2944, 3307, 5098, 6120, 6774, 8266, 104, 1978, 2429, 3271, 4780, 5641, 6470, 8073, 937, 1141, 2282, 3558, 4845, 5438, 6413, 7587, 1040, 1725, 2389, 3922, 4321, 5300, 6977, 8078, 815, 1145, 2580, 4162, 4452, 5447, 6775, 7678, 1024, 1786, 3061, 3271, 4364, 5745, 7237, 7568, 288, 1603, 2783, 3756, 4423, 5269, 6719, 7979, 935, 1581, 2847, 4152, 5095, 6182, 7120, 7676, 914, 2084, 2944, 3932, 5061, 5210, 6852, 7557, 427, 1623, 2803, 3870, 4489, 5534, 7154, 7717, 935, 2068, 3135, 3932, 4387, 6131, 7207, 8179, 427, 1623, 3128, 3870, 4398, 5892, 6579, 7764, 501, 1633, 2340, 3728, 4855, 5790, 6851, 7886, 1094, 1886, 2892, 3205, 5119, 5862, 7087, 7537, 541, 1585, 2792, 3310, 4868, 5654, 6401, 7979, 537, 1338, 2254, 3540, 4738, 5438, 6430, 7336, 1033, 1776, 2873, 4098, 4792, 5945, 6707, 8214, 1067, 1279, 2534, 3398, 4791, 5574, 7190, 8250, 736, 1594, 2741, 3986, 4196, 5353, 6456, 7943, 249, 1582, 2900, 3790, 4456, 5447, 6785, 8045, 428, 1302, 2173, 3309, 4364, 5419, 7190, 7868, 492, 1151, 2409, 3517, 4245, 5670, 6553, 7627, 113, 1199, 3034, 3278, 4910, 6142, 7195, 8033, 113, 1199, 2689, 3500, 5107, 5945, 6411, 8172, 776, 1212, 2361, 3902, 4604, 5574, 6880, 7254, 891, 1199, 3026, 3371, 4811, 5700, 6716, 7882, 715, 1707, 2759, 3787, 4224, 5350, 6649, 7677, 654, 1210, 2345, 3933, 4983, 5573, 6607, 7677, 228, 1851, 2984, 3838, 4549, 5580, 6252, 7965, 228, 2030, 2469, 3390, 4329, 6146, 7152, 8209, 518, 1756, 2554, 4041, 5104, 6110, 6584, 7876, 568, 2097, 2473, 4078, 4869, 5436, 6859, 7477, 757, 1750, 2137, 3955, 4589, 5719, 6507, 8267, 731, 1286, 3112, 3761, 4184, 5657, 7111, 7948, 318, 1280, 2448, 3648, 4742, 5557, 6240, 7778, 725, 2047, 2830, 3789, 4921, 6142, 6823, 8128, 271, 1570, 2750, 3394, 4542, 5555, 6224, 7976, 448, 2033, 2330, 3394, 4513, 6057, 7112, 7732, 309, 1688, 2869, 3674, 4663, 5539, 6536, 7954, 317, 1803, 3131, 3807, 5020, 5257, 6529, 7881, 654, 1523, 2683, 3955, 4955, 6194, 7076, 7918, 654, 1421, 3131, 3994, 5134, 5837, 6612, 8266, 256, 1923, 2560, 4018, 4459, 5219, 7002, 8236, 288, 1991, 2573, 3481, 4592, 6208, 6920, 8188, 488, 1756, 2803, 3413, 4704, 5677, 7100, 7563, 488, 1648, 3065, 3595, 4704, 6205, 6889, 8147, 915, 1528, 2991, 4071, 5058, 5677, 7218, 7485, 935, 1648, 2838, 3595, 4551, 5630, 6709, 8267, 186, 1648, 3065, 3825, 4798, 6139, 6972, 7949, 468, 2025, 3137, 4149, 4812, 6184, 6344, 8027, 171, 2098, 2839, 3257, 5183, 5219, 7090, 8266, 893, 1490, 2495, 4076, 5003, 6041, 6475, 8056, 623, 1270, 2495, 3678, 4321, 6019, 6448, 8065, 1040, 2115, 2282, 3370, 4616, 5610, 7102, 8255, 1041, 1630, 2565, 3421, 4959, 5226, 7210, 7362, 1041, 2009, 2565, 3483, 4597, 6065, 6654, 8224, 884, 1785, 3146, 3356, 4953, 6099, 6224, 8036, 1057, 2118, 2633, 3593, 4293, 6065, 6569, 7405, 1049, 1780, 2464, 3688, 4216, 5494, 7066, 8069, 113, 1940, 3055, 3354, 4678, 5957, 6296, 7873, 662, 2105, 2299, 3810, 4440, 5648, 6627, 7973, 970, 1650, 2627, 3695, 4467, 6076, 6325, 7832, 403, 1455, 2791, 3759, 4285, 6222, 6651, 8243, 663, 1108, 2791, 3788, 4529, 5216, 6507, 7481, 709, 1653, 2490, 3922, 4266, 5650, 6850, 7750, 1099, 2068, 2946, 4068, 4582, 5745, 6809, 8237, 419, 1648, 3147, 3827, 5083, 5514, 7006, 7715, 789, 1525, 2669, 3681, 4344, 5219, 6291, 7664, 256, 1525, 2833, 3904, 5143, 6175, 6376, 8012, 518, 2030, 2490, 4006, 4201, 5514, 6528, 8130, 518, 1286, 2473, 3359, 4890, 6175, 6612, 8261, 256, 1597, 2781, 3487, 5135, 5241, 7069, 7563, 256, 2111, 2880, 3914, 5079, 5548, 6589, 7631, 256, 2111, 2791, 3518, 4638, 5296, 6740, 8126, 256, 1468, 3068, 3692, 5083, 5624, 6752, 7865, 256, 2065, 2656, 3518, 5053, 5624, 6752, 7732, 617, 1424, 2138, 3518, 4855, 5624, 6515, 7865, 419, 1468, 2488, 3891, 4916, 6137, 6515, 8130, 419, 1468, 2833, 3891, 4549, 5514, 6889, 7557, 488, 1528, 3062, 3891, 4877, 5515, 6752, 7865, 201, 1528, 2806, 3825, 4704, 6139, 7077, 7716, 201, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7077, 8223, 488, 2017, 2914, 3893, 4624, 5635, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 3065, 3825, 4798, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 4, 2 ]

[ 1, 76, 45, 31, 5, 76, 17, 66, 5, 54, 73, 5, 53, 48, 54, 44, 55, 5, 76, 69, 30, 5, 33, 75, 35, 47, 5, 45, 54, 64, 16, 30, 16, 54, 66, 5, 28, 48, 5, 44, 54, 75, 33, 64, 66, 16, 30, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7949, 488, 1648, 3065, 3367, 4366, 5635, 7124, 8196, 213, 1467, 2960, 4113, 4366, 5612, 7006, 7723, 149, 2079, 2530, 3413, 4276, 5802, 6589, 7557, 676, 1898, 2990, 3596, 4800, 5500, 7148, 7798, 668, 1668, 2868, 3770, 4688, 5565, 6309, 7442, 769, 1826, 2865, 3788, 4365, 5962, 6493, 7961, 453, 1724, 2728, 3552, 4478, 5687, 7230, 7781, 1099, 1265, 3144, 4151, 4307, 6205, 6377, 7838, 878, 1758, 3006, 3826, 4912, 5276, 6238, 7781, 568, 1662, 3133, 3350, 5075, 6007, 6241, 7319, 171, 2013, 2975, 3951, 4830, 5472, 7232, 7263, 484, 2085, 3095, 3710, 5038, 5832, 7069, 7379, 555, 1992, 2781, 3866, 4801, 6175, 7069, 7887, 510, 1620, 3007, 4018, 5076, 5630, 7132, 8076, 571, 2063, 3095, 3886, 4980, 5901, 6809, 8066, 731, 1399, 3061, 3334, 4289, 5705, 7201, 8227, 335, 2079, 2943, 4013, 4533, 6085, 6776, 7895, 831, 1508, 2730, 3803, 4713, 5661, 7084, 7887, 831, 1387, 2338, 3226, 5053, 6204, 7010, 7898, 192, 1598, 2198, 3643, 4546, 5906, 7197, 7672, 262, 1877, 2981, 4047, 4206, 6141, 6560, 7927, 1006, 1151, 2130, 3685, 4876, 6119, 6639, 7865, 1064, 1503, 2182, 3366, 4799, 5941, 6439, 7712, 1003, 1596, 2224, 3905, 4994, 5318, 6376, 7921, 779, 1490, 2775, 3175, 4423, 5832, 6774, 7865, 860, 1705, 3021, 4174, 4704, 6129, 6408, 7949, 1099, 2046, 3128, 4108, 5080, 6175, 6688, 8147, 818, 1508, 2806, 4085, 4630, 6182, 6515, 7485, 956, 1869, 3117, 3825, 4888, 6051, 6979, 7949, 818, 1705, 2781, 3825, 4980, 5241, 7077, 8223, 488, 1528, 2960, 3825, 4888, 6139, 7077, 8196, 488, 1528, 2914, 3226, 5058, 5635, 7077, 7766, 488, 1528, 2957, 3893, 4624, 6139, 7201, 8237, 488, 1528, 3128, 3893, 4798, 5832, 6786, 8196, 488, 1528, 3110, 4018, 4798, 6211, 7077, 8223, 818, 1467, 2164, 3893, 4798, 6081, 7124, 7766, 956, 1963, 2164, 3990, 4624, 5883, 6709, 7723, 512, 1945, 3098, 4006, 5159, 5883, 6996, 8016, 955, 1675, 3064, 4108, 4782, 5241, 6988, 8179, 1033, 1915, 2924, 3915, 5053, 5892, 6564, 7948, 1033, 1915, 2520, 4150, 4318, 5413, 6668, 7477, 1033, 1614, 2956, 3796, 4191, 5228, 7004, 8262, 1033, 1167, 2669, 3321, 4179, 5668, 6382, 7576, 840, 1721, 2278, 3497, 4455, 5976, 6777, 7686, 504, 1206, 2387, 3233, 4228, 6124, 6710, 7592, 271, 1682, 2693, 4057, 4981, 6204, 7017, 7885, 487, 1513, 2173, 3271, 4576, 5768, 7001, 7803, 986, 1563, 2142, 3231, 5124, 5470, 6358, 7973, 545, 1797, 2515, 3416, 4234, 5953, 6393, 8248, 545, 1234, 2156, 4025, 4451, 5478, 6371, 7442, 582, 1858, 2387, 3796, 5169, 5656, 6764, 8009, 448, 2091, 3020, 3789, 4421, 5292, 6302, 8096, 942, 1652, 2561, 3363, 4246, 5366, 6544, 8140, 987, 2061, 2829, 3292, 4269, 5444, 6453, 8028, 335, 2118, 3150, 4066, 4306, 5893, 6388, 8248, 391, 1177, 2559, 3245, 4556, 5432, 6672, 7576, 948, 1621, 2282, 3918, 4374, 5262, 7004, 7676, 335, 1770, 2225, 3937, 4184, 5366, 7227, 7324, 391, 1814, 2688, 3975, 4543, 6033, 7237, 7474, 216, 1686, 2596, 3987, 4253, 5756, 6589, 8126, 731, 1619, 2339, 3848, 5177, 5797, 6263, 7582, 767, 1120, 2339, 3681, 5138, 5378, 7237, 7594, 304, 1175, 2998, 3243, 5058, 5413, 6935, 8076, 401, 2068, 2925, 3595, 5003, 6014, 7095, 7303, 304, 2068, 2998, 3390, 4859, 6025, 6472, 7768, 731, 1778, 2391, 4085, 4328, 6120, 6677, 7808, 223, 2095, 2882, 4145, 5157, 6089, 6979, 7597, 401, 1402, 2741, 3708, 4489, 6128, 7152, 7948, 390, 1924, 2636, 3226, 4856, 5844, 7181, 7557, 1025, 1797, 2444, 3990, 5106, 6175, 6467, 8126, 1025, 1797, 2610, 3918, 4533, 5385, 7237, 8126, 304, 1594, 2924, 4145, 5080, 5210, 7010, 7641, 1090, 2033, 2492, 3224, 5153, 5958, 6515, 7386, 223, 1269, 2610, 4098, 5107, 5864, 6614, 7778, 223, 1269, 2610, 4098, 5107, 5864, 7069, 7957, 223, 1721, 2946, 3537, 4697, 5749, 6769, 7508, 895, 1858, 2610, 3789, 4440, 5683, 6957, 7260, 223, 1269, 2661, 3832, 5184, 5864, 6614, 7677, 650, 1269, 2843, 3271, 4671, 5605, 6846, 7535, 752, 1827, 2492, 3361, 4566, 5769, 6687, 8241, 685, 1858, 2298, 3915, 4778, 5556, 6967, 8236, 223, 1812, 2767, 3363, 4859, 5641, 6740, 7457, 716, 1531, 2543, 3879, 4197, 5482, 6614, 7786, 271, 1806, 2771, 3576, 4760, 5431, 7185, 8163, 986, 1550, 2546, 3254, 5100, 5413, 7133, 8067, 545, 1669, 2282, 3532, 5032, 6222, 6528, 8077, 582, 1315, 2282, 3498, 4887, 6104, 6562, 8199, 582, 1305, 2282, 3755, 5179, 5843, 7232, 8126, 722, 1674, 2486, 3500, 4330, 5547, 6715, 8129, 751, 1621, 2693, 3565, 4848, 6048, 7197, 7321, 582, 1315, 2693, 3298, 4887, 6074, 7200, 7658, 986, 2047, 2706, 4007, 5107, 5863, 6701, 7899, 986, 1610, 2706, 3426, 4757, 5640, 6614, 8045, 582, 1778, 2581, 3245, 4353, 5223, 6470, 8215, 223, 2102, 2265, 3601, 4353, 6039, 7010, 7490, 767, 1296, 2515, 3530, 4993, 5954, 7079, 7648, 1033, 1280, 2282, 3910, 4665, 6073, 6497, 7966, 271, 1924, 2693, 3771, 4896, 5641, 7160, 7821, 223, 1834, 2807, 3475, 4440, 5643, 6251, 8048, 487, 1393, 3040, 3731, 5145, 5893, 6813, 7919, 399, 1708, 2373, 3245, 4706, 5454, 6225, 8206, 608, 1996, 2282, 4007, 4285, 5454, 7106, 7527, 993, 1706, 2597, 3187, 4887, 5321, 6859, 8092, 993, 1550, 2361, 3356, 4966, 5454, 7014, 7712, 993, 1255, 2137, 4072, 4536, 6005, 6980, 8259, 826, 1255, 2689, 3394, 4374, 5577, 7014, 7677, 826, 1757, 2868, 3162, 5072, 5844, 7003, 7546, 887, 1581, 2750, 3634, 4334, 6204, 6663, 7957, 104, 1269, 3106, 3222, 4796, 6073, 7244, 8017, 936, 1633, 2429, 3229, 4450, 5740, 6608, 7313, 993, 1633, 2353, 3964, 4556, 5325, 6903, 7577, 778, 1600, 2189, 3697, 4356, 5354, 6282, 8033, 938, 1179, 2583, 3582, 4387, 5648, 7028, 7508, 1011, 1791, 2772, 3983, 5014, 6095, 6677, 7571, 970, 1897, 2674, 3582, 4896, 5327, 6876, 8108, 641, 1251, 2592, 3649, 4603, 5745, 6925, 7798, 840, 1327, 2309, 3767, 4807, 6002, 7037, 7868, 404, 1557, 2389, 3937, 4686, 5538, 6526, 8049, 1062, 1510, 2516, 3948, 4321, 5750, 6908, 7825, 308, 1876, 2360, 3955, 5183, 5386, 7069, 7437, 857, 1708, 2271, 4026, 4801, 6123, 6525, 7614, 845, 2036, 3049, 3480, 4737, 5613, 6789, 8070, 1004, 1695, 2384, 3417, 4367, 6040, 6728, 8000, 920, 1580, 2365, 3623, 4474, 5777, 7104, 7604, 1023, 1112, 2152, 3172, 4533, 5618, 6894, 8222, 920, 1800, 2727, 3500, 4412, 6002, 6328, 8091, 737, 1693, 2901, 3623, 5072, 5443, 6383, 7267, 1004, 1110, 2785, 3888, 4701, 5224, 6663, 7383, 900, 1732, 2339, 3237, 4302, 5899, 7129, 7505, 668, 1548, 2888, 3768, 4664, 5706, 7129, 7618, 473, 1402, 3098, 3704, 5150, 5422, 6308, 7366, 512, 1499, 3144, 3183, 4653, 6131, 7129, 7718, 390, 1752, 2352, 3866, 5080, 5590, 6854, 7658, 804, 1233, 2473, 3516, 4935, 5630, 6607, 8237, 405, 1752, 2473, 3826, 5104, 5678, 6668, 7487, 304, 1280, 2473, 3642, 5145, 6123, 7006, 7641, 440, 1548, 2924, 3364, 4867, 5802, 6604, 7825, 331, 1255, 2468, 4097, 4867, 6002, 7157, 7256, 643, 1523, 3060, 3767, 4282, 5549, 6594, 8236, 1067, 1736, 2648, 3182, 5187, 5562, 6738, 7518, 314, 1758, 2397, 3304, 4510, 5771, 6614, 7616, 1080, 1411, 2775, 3575, 4193, 5944, 6648, 7542, 807, 1164, 2309, 3341, 4720, 5334, 6898, 8211, 545, 1562, 2309, 3298, 4671, 5549, 7048, 7973, 356, 1948, 2902, 3826, 5085, 6068, 6625, 7794, 231, 1858, 2543, 3969, 5020, 5677, 6807, 8126, 356, 1858, 2980, 3550, 5011, 5764, 6338, 8260, 914, 1620, 2661, 4085, 4870, 6001, 6338, 7918, 488, 2000, 2781, 4145, 4912, 5219, 7006, 8147, 488, 1847, 2803, 4011, 5080, 6129, 6996, 8223, 488, 1847, 3135, 3982, 4980, 6081, 6996, 8260, 818, 1847, 2164, 3226, 4912, 5241, 6794, 8237, 818, 2017, 3095, 4018, 4630, 5241, 6988, 7806, 818, 2017, 3065, 3710, 5080, 5635, 7201, 8147, 915, 1622, 2914, 4018, 4798, 6139, 7077, 8260, 1056, 2000, 2970, 3886, 5115, 5678, 6604, 7563, 613, 1112, 2718, 3581, 4376, 6166, 6692, 8031, 221, 1205, 2796, 3500, 4351, 5988, 7051, 8046, 1036, 1219, 2544, 3425, 4555, 5298, 7232, 7542, 556, 1550, 2355, 4066, 4645, 5504, 6887, 7401, 1080, 1281, 2601, 3941, 4212, 5651, 6861, 7717, 1024, 1231, 2872, 3566, 4592, 5687, 6966, 7831, 731, 1318, 2856, 3372, 4458, 6056, 7004, 7749, 767, 1284, 3064, 3634, 5115, 6175, 7207, 7631, 335, 1847, 3109, 3316, 4536, 6066, 6402, 7383, 767, 2047, 2741, 4041, 4592, 5637, 6515, 7555, 223, 2024, 2764, 3771, 5159, 5797, 6677, 7262, 643, 1281, 2476, 4151, 4553, 6001, 7207, 7262, 304, 1812, 3104, 3298, 4902, 5796, 7069, 7421, 756, 2048, 2287, 3762, 4902, 5824, 6343, 8086, 518, 1915, 2287, 3292, 5183, 5521, 7230, 7919, 127, 2013, 3133, 3916, 4863, 5935, 7158, 8205, 518, 1265, 2542, 3987, 5048, 5381, 6251, 7985, 518, 1853, 2875, 3931, 4555, 5908, 6382, 8262, 518, 1961, 2251, 4106, 5159, 6085, 7090, 7303, 654, 1865, 2833, 3931, 4638, 6175, 6688, 8261, 518, 1750, 2316, 4145, 5159, 6110, 6338, 8080, 256, 1684, 2858, 3592, 5160, 5863, 7006, 7485, 756, 1749, 3075, 3975, 4415, 5413, 6972, 7303, 1033, 1586, 3108, 4128, 4814, 5868, 6486, 7256, 271, 2034, 2508, 3384, 4310, 6010, 6735, 7684, 465, 1174, 3097, 4072, 4474, 6194, 6823, 7815, 1101, 1581, 2172, 3393, 4924, 6118, 7187, 7336, 923, 1397, 2856, 3478, 4412, 5524, 6646, 7707, 844, 1974, 3106, 3551, 4186, 6065, 6382, 8106, 582, 1453, 2190, 3258, 4289, 6141, 6371, 7976, 1040, 2125, 2239, 3331, 4385, 5584, 7199, 7775, 536, 1388, 3101, 3852, 4804, 5313, 6571, 7633, 536, 2036, 2353, 3192, 4538, 5408, 7246, 7887, 536, 2036, 2239, 3877, 4444, 5936, 6818, 8129, 536, 1773, 2544, 3374, 5106, 5276, 7195, 7651, 104, 1773, 2856, 3859, 4966, 5981, 6898, 7676, 1025, 1146, 2924, 3605, 4426, 5509, 6507, 7811, 610, 1809, 2924, 3206, 4385, 5616, 7201, 7831, 424, 1771, 2771, 4082, 5091, 6222, 7149, 7421, 1090, 1721, 2785, 3811, 4895, 6014, 6884, 7641, 804, 1175, 3061, 3692, 4834, 5761, 6736, 7948, 1097, 1847, 2925, 4018, 4822, 6146, 6852, 7557, 804, 2079, 3135, 3982, 4583, 6182, 6972, 7806, 1099, 2017, 3008, 3710, 5058, 5241, 7084, 8237, 956, 1791, 3117, 3188, 5058, 6051, 7201, 7570, 818, 2017, 3135, 3893, 5038, 6129, 7201, 8147, 1099, 1218, 2806, 4108, 4704, 5241, 7084, 8237, 722, 1198, 3064, 3928, 4512, 5538, 7162, 7962, 392, 1561, 2503, 3709, 5081, 5845, 6637, 7682, 582, 1118, 2940, 3182, 4855, 5953, 6540, 7948, 545, 1782, 2470, 3485, 5124, 5875, 7059, 8096, 986, 1305, 2365, 3599, 4620, 5658, 7053, 7404, 448, 1550, 2429, 3978, 4539, 6000, 6835, 8057, 952, 1674, 2638, 3844, 4936, 5768, 6803, 7683, 1033, 1167, 2282, 4003, 5083, 6063, 7114, 7954, 582, 1363, 2137, 3593, 5159, 6128, 6422, 7664, 448, 1167, 2693, 3955, 4364, 5524, 7069, 7563, 545, 1826, 2387, 4043, 4845, 5224, 6298, 8215, 356, 1674, 2940, 3917, 4955, 5521, 7163, 7852, 231, 1858, 2638, 3753, 4720, 6118, 7129, 7838, 288, 1807, 2915, 3550, 4913, 5777, 7000, 7381, 914, 2046, 3008, 3866, 4297, 5548, 7129, 7260, 510, 1175, 2895, 3550, 4622, 6007, 6338, 8262, 663, 1995, 2960, 3500, 4588, 5694, 7058, 7764, 1059, 1706, 2794, 3975, 4337, 5886, 6800, 8036, 448, 1706, 2188, 3190, 4385, 6074, 6482, 7578, 582, 1778, 3043, 3939, 4912, 5863, 6671, 8112, 807, 1566, 2313, 3517, 4298, 6194, 6448, 7641, 150, 1397, 2636, 4094, 4184, 5700, 6820, 7457, 211, 1393, 2963, 3426, 4801, 5855, 7017, 8230, 955, 1296, 3098, 3991, 4774, 5794, 7181, 7614, 1033, 1543, 2881, 3276, 4586, 6073, 7143, 7677, 271, 1924, 2506, 4073, 4536, 5396, 6260, 8126, 223, 1167, 2659, 3233, 5134, 5407, 6470, 8245, 887, 1717, 2506, 3771, 5085, 5407, 6570, 7570, 887, 2033, 3064, 3605, 4359, 5938, 7149, 7919, 1090, 1660, 3026, 4145, 5020, 5978, 6918, 7764, 709, 1992, 3098, 4005, 4817, 6085, 7152, 8209, 878, 1878, 2988, 3364, 4470, 6112, 6901, 8016, 715, 1579, 3042, 4028, 5167, 5968, 7163, 7906, 326, 1452, 2703, 3370, 5084, 5896, 6545, 7842, 650, 1557, 3145, 4143, 4325, 5265, 7238, 7869, 492, 1555, 2522, 3193, 5143, 5393, 6517, 7508, 511, 1402, 2824, 3755, 4320, 6180, 7102, 8131, 868, 1543, 2916, 3651, 4337, 5821, 6800, 7894, 868, 1982, 2239, 3887, 4321, 5205, 6433, 7770, 448, 1594, 2191, 3851, 4539, 5924, 6836, 7977, 1102, 1503, 2238, 3822, 4426, 5828, 6231, 7697, 1102, 1961, 2396, 3374, 4315, 5871, 7156, 7770, 225, 1660, 2874, 3973, 4836, 5762, 6256, 7442, 654, 2013, 2370, 3623, 5168, 5723, 6898, 8092, 225, 1570, 2856, 4111, 4737, 6175, 7100, 7477, 228, 2034, 3004, 4145, 4916, 5438, 7098, 7311, 518, 1971, 2880, 3931, 4877, 6117, 6877, 7260, 518, 1645, 2839, 4166, 4225, 6168, 6579, 8080, 240, 2127, 2659, 3933, 5151, 6137, 6607, 8126, 240, 1750, 2904, 3914, 4890, 5548, 6338, 8061, 789, 2106, 2473, 3803, 4870, 5493, 7077, 8126, 419, 2030, 3133, 3550, 4387, 5241, 7077, 7831, 419, 1750, 2806, 3825, 4704, 5241, 6996, 7303, 419, 1961, 2473, 4174, 4512, 5296, 6604, 7831, 789, 1585, 2970, 4068, 4877, 5901, 7129, 7753, 105, 2127, 2806, 3803, 4387, 6137, 7091, 7563, 390, 1695, 2598, 3405, 4670, 5378, 7120, 8164, 160, 1794, 2710, 3500, 4224, 5686, 6719, 7913, 807, 2067, 3116, 3273, 4790, 5585, 6835, 7275, 807, 1640, 2345, 4031, 4539, 5250, 6365, 7793, 582, 1485, 2196, 3258, 5001, 5584, 6224, 7435, 778, 1732, 2751, 3452, 4376, 5710, 7078, 7397, 902, 1640, 2751, 4079, 4841, 5303, 6539, 7524, 880, 1942, 2263, 4043, 4544, 5716, 6240, 7910, 1080, 1695, 3029, 4130, 4351, 6168, 6509, 8108, 1036, 1695, 2610, 3623, 4648, 6122, 6242, 8248, 844, 1695, 2261, 3268, 5194, 6002, 6717, 7457, 512, 1644, 2582, 3840, 4861, 5935, 6850, 7908, 211, 1791, 2330, 4096, 4423, 6137, 7207, 7476, 779, 1847, 2783, 3945, 4449, 5573, 7218, 8260, 1020, 1382, 2336, 4124, 4354, 5796, 7230, 8129, 545, 1942, 2332, 3178, 5073, 5656, 6566, 7869, 938, 1695, 2432, 3810, 5127, 5810, 7102, 7904, 709, 1564, 2780, 3595, 4895, 6050, 6348, 8199, 859, 1564, 3098, 3961, 4872, 5778, 6820, 7918, 488, 1847, 3117, 3803, 4287, 5705, 6988, 7766, 488, 2017, 3135, 4018, 5080, 6139, 6979, 7806, 555, 2017, 2806, 3827, 4387, 6085, 7218, 8261, 859, 1304, 2858, 3827, 5159, 6085, 7006, 8083, 617, 1995, 2839, 3918, 5038, 6160, 6677, 8164, 183, 2106, 2329, 3470, 5125, 5689, 7098, 8267, 183, 2106, 2370, 3827, 4437, 5549, 6579, 7643, 617, 2127, 3021, 4068, 4996, 5438, 6584, 8261, 183, 2106, 2370, 4124, 4423, 5385, 7165, 8080, 757, 2127, 2941, 4111, 4890, 5493, 7168, 8030, 617, 1147, 2542, 3555, 4549, 5811, 7207, 7477, 617, 2127, 3144, 3352, 4344, 5827, 7152, 7865, 4, 2 ]

[ 1, 44, 54, 5, 64, 33, 75, 63, 16, 52, 5, 62, 52, 39, 64, 16, 78, 5, 5, 3, 818, 1851, 3098, 3413, 4611, 5684, 7207, 8077, 986, 1942, 2346, 3644, 4876, 5684, 6933, 7973, 807, 1948, 2346, 3305, 5001, 5972, 6466, 8253, 221, 2033, 3116, 3599, 4270, 6135, 7165, 7535, 559, 2033, 2346, 3792, 4428, 6034, 6592, 7535, 462, 1706, 2260, 3366, 4664, 5776, 6281, 7669, 786, 1112, 2610, 3266, 4224, 5270, 7043, 7773, 936, 1140, 2401, 3443, 5149, 5530, 6520, 7311, 641, 2009, 2665, 3394, 4259, 5472, 6241, 7885, 826, 1676, 2595, 3610, 5088, 5202, 6884, 8209, 610, 1692, 3053, 3704, 4813, 5413, 7004, 7563, 826, 1676, 2810, 3915, 4358, 5965, 6430, 7887, 778, 1755, 2429, 3390, 5148, 6131, 6604, 7889, 955, 1510, 2877, 3206, 4852, 5493, 7004, 7570, 1014, 1924, 2970, 3550, 5169, 5509, 6848, 7547, 654, 1998, 2271, 3359, 4638, 6211, 7103, 7476, 195, 2078, 3064, 3796, 4651, 5824, 6724, 7477, 195, 1721, 2904, 3277, 4918, 5926, 7133, 8061, 654, 2079, 3147, 3933, 4918, 5678, 6657, 7557, 518, 1756, 2542, 3394, 4780, 5465, 6315, 8080, 240, 1623, 2473, 3376, 5080, 5719, 6752, 7865, 518, 1633, 2221, 3838, 4859, 6157, 6671, 8267, 240, 1525, 2341, 3413, 4862, 5677, 7232, 8047, 256, 1853, 2221, 3361, 4859, 5385, 7096, 8061, 256, 1826, 3144, 3277, 5135, 5797, 6757, 7716, 715, 1755, 2469, 3227, 5085, 5639, 7149, 7677, 166, 1510, 3000, 3426, 5040, 5903, 7241, 8016, 1023, 1510, 2762, 4015, 5111, 5683, 6536, 7369, 723, 1249, 2724, 3209, 4711, 5512, 6608, 7478, 493, 2102, 2346, 3765, 4533, 5928, 6859, 8140, 493, 1278, 2361, 4082, 4351, 5533, 6367, 7997, 339, 1828, 2842, 3384, 4659, 6059, 6292, 7928, 150, 1609, 2807, 3793, 4244, 5616, 6262, 8117, 940, 1399, 2740, 3909, 4780, 5203, 7129, 8054, 756, 2000, 2439, 3252, 5003, 6195, 6410, 7510, 756, 1452, 2803, 3975, 4224, 5717, 6889, 7621, 955, 2069, 2845, 3495, 5141, 6156, 7069, 7945, 942, 1898, 2991, 3667, 4901, 5359, 6905, 8260, 262, 1587, 3115, 3642, 4324, 5313, 6611, 8173, 864, 1411, 2285, 3183, 4354, 5950, 6928, 7502, 547, 1947, 2607, 3373, 4184, 5803, 7179, 7684, 876, 1838, 2794, 3466, 5193, 5772, 7206, 7672, 1067, 1838, 2605, 3675, 5005, 6022, 7112, 8158, 938, 1469, 3080, 3791, 4273, 5699, 6611, 7254, 948, 1469, 3006, 3373, 4691, 5663, 6870, 7500, 779, 1468, 2985, 3811, 4387, 5643, 7007, 8164, 1099, 1705, 3128, 4071, 5038, 6085, 7168, 8080, 1097, 1874, 2943, 4027, 5159, 5705, 6774, 8223, 935, 1856, 3064, 3188, 4856, 6211, 7111, 7631, 984, 1175, 2957, 4041, 5165, 5210, 6771, 7485, 510, 1992, 2984, 3188, 5080, 5534, 6996, 7949, 452, 1210, 2549, 3329, 5077, 5677, 6283, 8118, 183, 1865, 2814, 4089, 5073, 5766, 6404, 7527, 579, 1199, 3053, 3201, 5083, 5981, 6732, 7676, 160, 1814, 2791, 4005, 4872, 6050, 6507, 7563, 223, 1849, 2716, 4046, 5085, 5436, 6468, 7578, 1078, 1241, 2497, 3179, 4943, 5313, 6694, 7496, 154, 1778, 3055, 4137, 4776, 5858, 6789, 8140, 1023, 1507, 2271, 3421, 5151, 5991, 6625, 7834, 807, 1494, 2327, 3329, 5151, 6116, 6350, 7904, 807, 1118, 2875, 3623, 5040, 5800, 6886, 7873, 807, 1118, 2661, 3623, 4539, 6122, 7203, 8151, 1090, 1550, 2874, 3570, 4717, 5684, 6592, 8048, 715, 1815, 2910, 3251, 4736, 6171, 6876, 7873, 225, 1905, 2128, 3348, 5187, 6015, 6348, 7657, 654, 1635, 2302, 3535, 4617, 6007, 7010, 7822, 654, 1652, 3147, 3518, 4412, 5549, 7229, 8266, 195, 1313, 2542, 3885, 4863, 5678, 6584, 7791, 576, 1684, 3075, 4111, 4859, 5660, 6284, 8036, 228, 1269, 2359, 4153, 4690, 5629, 6412, 7259, 256, 2061, 3144, 3470, 4586, 6117, 6827, 7971, 356, 1961, 2724, 3870, 4644, 5514, 7132, 7908, 304, 1684, 3110, 3363, 4694, 6182, 7230, 7927, 650, 1280, 2327, 3876, 4836, 5768, 6696, 7764, 487, 2048, 2867, 3533, 4648, 5603, 7227, 8178, 881, 1397, 2750, 4092, 4755, 5320, 6231, 7974, 1101, 1397, 2750, 4045, 4201, 5762, 6506, 8190, 535, 2048, 2327, 3248, 4288, 5648, 6242, 7917, 993, 1400, 2327, 3842, 4288, 5624, 6663, 8231, 725, 1636, 2327, 4102, 4189, 6006, 6965, 8240, 1101, 1732, 2867, 3356, 4358, 5512, 6646, 8161, 807, 2118, 2313, 3623, 4627, 5706, 6982, 8243, 266, 1570, 2282, 3426, 4530, 5615, 6905, 7930, 386, 1570, 2282, 3997, 4873, 6181, 6938, 7747, 643, 1561, 2156, 3254, 5120, 6147, 6903, 7965, 448, 1421, 2830, 3885, 4531, 5492, 6430, 8227, 1014, 2118, 3126, 3798, 5151, 6002, 6982, 7957, 518, 1821, 2137, 3788, 4321, 5746, 6908, 8132, 228, 1963, 2251, 3648, 5092, 5276, 7024, 7887, 654, 1623, 2991, 4166, 4344, 5988, 6270, 8239, 518, 2118, 2880, 3276, 4993, 6110, 7203, 7563, 518, 1623, 2833, 3470, 5159, 6110, 6657, 7605, 543, 1851, 2833, 4145, 4681, 5514, 7024, 7677, 555, 2118, 2781, 4071, 4780, 5372, 6752, 7723, 915, 1528, 2659, 3291, 4870, 5963, 7024, 7865, 860, 1622, 2806, 3825, 4704, 5892, 6889, 8147, 488, 1622, 3065, 3825, 4704, 5892, 6794, 8196, 4, 2 ]

[ 1, 44, 51, 64, 33, 62, 66, 5, 66, 73, 5, 48, 66, 5, 31, 33, 63, 5, 53, 48, 52, 78, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 818, 1963, 2806, 4174, 4888, 6051, 6794, 8237, 915, 1191, 2949, 4071, 4366, 5883, 7124, 7723, 789, 1623, 2453, 3914, 4512, 5223, 7098, 7782, 987, 1202, 2574, 3218, 4927, 5516, 6816, 7878, 166, 1112, 2453, 3513, 4834, 6147, 6884, 7656, 211, 1550, 2678, 3535, 4509, 5929, 6876, 7510, 555, 1963, 3112, 3394, 4549, 5586, 6979, 7664, 103, 1668, 2309, 3990, 4215, 5752, 7237, 7965, 421, 1653, 2309, 3359, 4321, 5890, 6401, 7574, 453, 1320, 2669, 3516, 4790, 5548, 6642, 7365, 824, 2034, 2454, 3364, 5167, 5642, 6286, 7363, 195, 1264, 2250, 3595, 4387, 5549, 6889, 7473, 518, 2034, 2473, 4115, 4549, 6157, 7002, 7717, 617, 1974, 2878, 4006, 4780, 5515, 6909, 7427, 779, 2063, 2858, 3807, 4776, 6113, 6256, 7547, 392, 1399, 2327, 3843, 4898, 6179, 6963, 7539, 730, 1563, 2453, 3793, 5123, 6037, 7129, 7686, 665, 1286, 2129, 3852, 5198, 5558, 6963, 7994, 373, 1273, 2983, 3680, 4627, 5615, 6854, 7902, 804, 1945, 2746, 3962, 4828, 5767, 6584, 7764, 935, 1845, 2996, 3671, 4447, 5968, 7084, 7421, 914, 1945, 2746, 3803, 5165, 6129, 6852, 7720, 935, 1945, 2730, 3516, 5159, 6129, 6771, 7421, 956, 1945, 2391, 4041, 5080, 5340, 7201, 8147, 935, 1475, 3043, 3990, 4592, 5968, 6752, 8195, 171, 1601, 2781, 3681, 4949, 5963, 6584, 8237, 186, 1684, 2340, 3990, 4918, 5901, 7132, 7732, 356, 1964, 2880, 3726, 4762, 5661, 6615, 7421, 865, 1706, 2349, 3363, 4411, 5904, 7049, 8112, 878, 1684, 2656, 3551, 4192, 5574, 6251, 8099, 153, 1797, 2654, 3516, 4985, 5719, 6248, 8199, 335, 1797, 2474, 3941, 4308, 5289, 6819, 7397, 948, 2016, 2890, 3870, 4545, 6152, 7246, 7570, 1033, 1924, 2321, 3886, 4594, 5899, 7129, 7950, 750, 1562, 2932, 3540, 4379, 5322, 7084, 7421, 1025, 1459, 2860, 3564, 5083, 5899, 6953, 8213, 1035, 2001, 3092, 4085, 5088, 5219, 7109, 8039, 1035, 1930, 2868, 4145, 4318, 5344, 6903, 7405, 1035, 1597, 2750, 3832, 4816, 5344, 6938, 8103, 986, 1286, 2583, 3579, 4353, 5840, 7048, 7873, 986, 1932, 2436, 3995, 5067, 6135, 7069, 8150, 545, 1255, 3091, 3321, 5100, 6135, 6584, 8028, 650, 1129, 2897, 3537, 4579, 5719, 7043, 8189, 211, 1311, 3008, 3771, 4225, 5705, 6612, 7260, 804, 1924, 2669, 3918, 4859, 5705, 6604, 8076, 818, 1998, 2895, 4145, 5080, 6051, 7239, 7570, 818, 1467, 3135, 3914, 5038, 6182, 6709, 7766, 1099, 1620, 3128, 4011, 4798, 5832, 6794, 7485, 1099, 1750, 3135, 3945, 5038, 5705, 7239, 8237, 818, 1467, 3128, 4071, 5104, 6186, 6786, 8196, 915, 1467, 2806, 3990, 4704, 5635, 6972, 8147, 878, 1467, 2709, 3391, 5120, 6211, 6972, 7542, 541, 1752, 2151, 3602, 4918, 6107, 7127, 7379, 955, 1570, 2820, 3855, 4533, 5313, 7091, 7962, 955, 1803, 2327, 3983, 5020, 5436, 6242, 7899, 459, 1948, 2327, 3755, 5088, 5918, 6480, 7904, 620, 1238, 2327, 3251, 4825, 6145, 6385, 7515, 995, 2052, 2332, 3208, 4927, 5838, 7106, 7677, 844, 1112, 2359, 3855, 4635, 6002, 6910, 8046, 1049, 1175, 2724, 3394, 4750, 6146, 6256, 8029, 693, 1421, 2669, 3745, 4206, 5616, 7231, 7727, 665, 1707, 2487, 4016, 4621, 5218, 6683, 8023, 569, 2118, 2669, 3530, 4991, 6100, 6535, 7509, 806, 1657, 2271, 3348, 4470, 5929, 6987, 8128, 1071, 1930, 2587, 3245, 5010, 5760, 6607, 7881, 390, 1850, 2754, 3456, 5120, 5504, 7023, 8227, 401, 1914, 3092, 3776, 4983, 6051, 6359, 7470, 1033, 1915, 2256, 4166, 5098, 6044, 6771, 7677, 1035, 1881, 3119, 3932, 5138, 5539, 7157, 7764, 955, 1275, 2783, 4011, 4630, 5765, 6874, 7641, 752, 1721, 2960, 3961, 4215, 5573, 7095, 7557, 650, 2079, 2391, 3962, 4983, 5761, 6564, 7570, 610, 1717, 3144, 4152, 5145, 5694, 7098, 7794, 424, 1797, 3053, 3740, 4641, 6182, 7111, 7641, 887, 1116, 2858, 3190, 4536, 5378, 7100, 8085, 807, 2079, 2166, 3963, 4318, 5745, 6809, 7823, 487, 1276, 2519, 3434, 4364, 5728, 6762, 8128, 545, 1653, 2369, 3785, 5103, 6106, 6813, 7383, 987, 1692, 2387, 4037, 4852, 5390, 6865, 8128, 487, 1995, 2309, 3358, 4459, 6059, 6532, 8207, 545, 1653, 2309, 3350, 4231, 5610, 6466, 7628, 424, 1550, 2167, 3756, 4716, 6034, 6607, 7528, 986, 2063, 2309, 3957, 4723, 5650, 6991, 7846, 715, 1948, 2207, 3904, 4513, 5263, 7007, 7435, 103, 1399, 2791, 3560, 4364, 6034, 7043, 8193, 1059, 1280, 2924, 3391, 4720, 5800, 6879, 7919, 678, 1186, 2629, 3987, 4578, 6048, 6967, 7524, 575, 1164, 2180, 3245, 5095, 6119, 6683, 7547, 504, 2118, 2429, 3764, 4903, 5390, 7002, 8086, 643, 2059, 2646, 3766, 4818, 5331, 6235, 7436, 970, 1596, 2944, 3848, 4338, 5874, 6520, 8040, 678, 1615, 2737, 3201, 4571, 6208, 6484, 7551, 643, 1199, 2453, 3488, 5096, 5874, 6894, 7508, 970, 1199, 2971, 4135, 4848, 5272, 6453, 8028, 938, 1275, 2137, 3434, 4539, 6063, 6672, 7527, 1024, 2079, 2137, 3983, 4640, 6086, 6224, 7987, 160, 1477, 3061, 3924, 4535, 6015, 6773, 8242, 1071, 1608, 2137, 3162, 4214, 5475, 7019, 7386, 1011, 1850, 2137, 3751, 4953, 5475, 6466, 7367, 1025, 1770, 2389, 4072, 4818, 5475, 6287, 7519, 1035, 1463, 2542, 3924, 4743, 5573, 7099, 7913, 752, 1596, 3101, 3469, 4529, 5344, 6840, 7678, 317, 1335, 3091, 3550, 4364, 6001, 6734, 7592, 195, 2106, 2316, 3227, 4529, 6128, 6944, 8117, 568, 1467, 2669, 3680, 5031, 5436, 7203, 7804, 568, 2065, 2554, 4135, 4717, 5656, 6579, 8080, 568, 2065, 3147, 3522, 5097, 5443, 6996, 8262, 256, 2065, 2593, 3394, 4877, 5296, 7084, 8093, 256, 2106, 2554, 3440, 5138, 5385, 6889, 7806, 105, 1444, 3008, 3886, 5135, 5689, 6809, 8211, 488, 2111, 2554, 3825, 4681, 5677, 6996, 7485, 488, 2017, 2914, 3825, 4624, 5901, 7124, 8260, 488, 1528, 3117, 3367, 4624, 5635, 7124, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6752, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 1528, 2164, 3893, 4624, 6139, 6752, 8223, 488, 1684, 3065, 3825, 4624, 6139, 6677, 7485, 488, 1528, 2164, 3893, 4870, 5635, 7077, 8147, 4, 2 ]

[ 1, 77, 73, 5, 51, 14, 63, 47, 5, 77, 20, 63, 5, 30, 44, 64, 62, 14, 29, 5, 44, 54, 5, 31, 16, 5, 52, 33, 41, 66, 15, 54, 30, 5, 62, 11, 51, 16, 66, 5, 17, 75, 5, 77, 20, 63, 5, 76, 39, 64, 66, 51, 58, 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, 488, 1648, 3065, 4071, 4624, 6186, 6794, 8196, 475, 1827, 3144, 4145, 4822, 5892, 6677, 7887, 392, 1114, 2492, 3812, 4849, 5530, 6899, 7878, 1098, 1586, 2481, 3522, 4985, 6221, 6626, 8047, 1036, 1421, 2529, 3956, 4602, 5640, 6225, 7442, 1024, 1509, 2564, 3669, 5135, 5519, 6688, 8010, 100, 1566, 2540, 3826, 4739, 5957, 6943, 8005, 484, 1330, 2352, 4151, 5104, 5514, 6859, 8093, 804, 1280, 3095, 3732, 5058, 5475, 6996, 7723, 1099, 1833, 3095, 4006, 5058, 5216, 7132, 7528, 555, 1992, 3135, 4171, 5159, 6085, 6972, 8076, 742, 2013, 3116, 3350, 4220, 5413, 6614, 7453, 224, 1257, 2429, 3364, 5066, 5345, 7143, 7476, 1020, 2049, 2903, 4078, 4412, 5259, 7120, 7259, 183, 2065, 3028, 4153, 4334, 5935, 6757, 7260, 304, 1333, 2965, 4006, 4493, 5521, 6566, 7865, 722, 1685, 2692, 3750, 4844, 6029, 6897, 7363, 511, 1882, 2692, 3941, 4715, 6024, 6622, 7297, 930, 1286, 2692, 3343, 5146, 5864, 7238, 7683, 880, 2118, 2692, 3747, 4893, 5369, 6251, 8211, 404, 1154, 2137, 3600, 4391, 5489, 6313, 7872, 930, 2118, 2472, 3770, 4316, 5857, 6249, 8073, 581, 1283, 2648, 3647, 4446, 5662, 6706, 7844, 438, 1627, 3101, 3267, 4742, 5298, 6846, 8065, 827, 1506, 2778, 3745, 4297, 5935, 6632, 7774, 827, 1354, 2789, 3484, 4669, 5304, 7041, 7498, 1067, 1267, 2172, 3559, 4993, 5429, 6905, 8270, 1067, 1435, 2172, 3621, 4606, 5838, 7139, 7329, 344, 1604, 2514, 3812, 4716, 5601, 7153, 7637, 1038, 1586, 2514, 3933, 4379, 5363, 7168, 7375, 930, 1586, 2789, 3642, 4236, 6221, 6437, 7527, 491, 2019, 2808, 3258, 4594, 6163, 6923, 7666, 545, 1400, 3091, 3480, 4555, 5479, 6768, 8061, 545, 1177, 3091, 3217, 5051, 5508, 6721, 7885, 582, 1315, 3141, 3376, 4191, 5581, 7069, 7383, 868, 1550, 3053, 3251, 4529, 5605, 6474, 7906, 511, 1806, 2444, 3796, 4351, 6006, 7143, 7542, 620, 1561, 2359, 3426, 4784, 5973, 6868, 7781, 668, 1521, 2188, 4066, 4942, 5752, 7203, 7438, 1009, 1252, 2482, 3996, 4943, 5697, 6298, 7797, 332, 1655, 2505, 3992, 4279, 5645, 6373, 7924, 498, 1252, 3105, 3499, 4234, 6088, 6224, 7883, 1036, 1735, 2543, 3235, 5010, 5244, 6949, 8105, 692, 1586, 3037, 3799, 4318, 5863, 6805, 8115, 103, 1586, 2321, 3956, 4381, 5221, 7125, 7400, 401, 2095, 2792, 3956, 4912, 5767, 7084, 7574, 804, 2000, 3026, 3873, 4980, 6128, 6787, 8260, 427, 1494, 2991, 4068, 5165, 5899, 7120, 7291, 804, 1856, 2980, 3188, 4586, 5963, 7010, 8083, 757, 1964, 2678, 4047, 4415, 5987, 6349, 7677, 1020, 2008, 2181, 4106, 4423, 5216, 6632, 7602, 668, 1755, 2302, 3761, 4985, 5325, 7090, 8150, 1036, 1400, 3018, 3353, 4381, 5567, 7004, 7442, 1101, 1206, 2339, 3236, 4197, 5584, 6224, 7582, 465, 1233, 2807, 3706, 4364, 6076, 6776, 8255, 317, 1821, 2832, 3681, 5150, 5344, 6371, 7906, 225, 1424, 2976, 3472, 5050, 5446, 7069, 7383, 654, 2002, 2370, 3911, 4210, 5520, 6668, 7625, 654, 2002, 3095, 3605, 4898, 5386, 7091, 7776, 240, 1326, 2833, 3648, 4512, 5514, 6237, 7485, 240, 2030, 2221, 3819, 5048, 5492, 6883, 7631, 951, 2078, 2398, 3838, 4181, 5590, 6757, 7776, 818, 1961, 2729, 3886, 4555, 5493, 7077, 8147, 419, 1851, 2659, 4166, 4704, 6211, 6996, 8147, 419, 2017, 2659, 3825, 5159, 6085, 7084, 7766, 915, 1528, 3065, 3595, 4798, 6081, 7239, 7677, 419, 2017, 3117, 3886, 4859, 5832, 6996, 8196, 756, 2098, 2659, 4006, 4549, 5325, 6265, 7664, 571, 2106, 2520, 3983, 5088, 5832, 6776, 7677, 271, 1672, 2788, 4114, 4481, 5836, 6716, 7966, 249, 1557, 2758, 3395, 4604, 5742, 6892, 7989, 363, 2118, 2529, 3559, 4347, 5839, 7154, 7779, 884, 1356, 2953, 3322, 4365, 6188, 6633, 8159, 728, 1193, 2775, 3651, 4444, 6118, 6980, 7693, 1036, 1193, 2290, 3941, 4898, 5273, 6602, 8099, 692, 1526, 2869, 3557, 4841, 5605, 6880, 8153, 1074, 1231, 3015, 3775, 4840, 5660, 6921, 8224, 611, 1631, 2596, 3977, 4195, 5368, 7015, 7628, 1088, 1617, 2981, 3292, 5168, 5257, 7182, 7498, 401, 2091, 2660, 3509, 4387, 5765, 6521, 7945, 804, 1794, 2165, 3407, 5145, 6070, 6605, 8126, 552, 1705, 3007, 3505, 5058, 5289, 6980, 8267, 984, 1526, 2989, 4166, 4691, 5599, 6688, 8083, 183, 1304, 2988, 3803, 4512, 5296, 6947, 7690, 225, 1133, 3028, 3648, 4512, 6048, 6771, 8216, 118, 1112, 2970, 3407, 4437, 5734, 6605, 8016, 118, 1112, 2659, 4005, 4916, 5386, 7049, 7962, 757, 1876, 2669, 4166, 4513, 5534, 6909, 7537, 571, 1623, 2254, 3987, 5104, 5386, 6291, 7602, 335, 1450, 2795, 4124, 5160, 5289, 6954, 7611, 862, 1402, 2147, 3480, 4714, 5341, 6507, 7680, 884, 1356, 2830, 3298, 4321, 5704, 6453, 8241, 150, 1252, 2183, 3756, 5147, 6192, 6814, 8225, 784, 1141, 2436, 3418, 4881, 5815, 6225, 7975, 942, 1141, 2414, 3892, 4359, 6000, 6421, 7538, 1025, 1141, 3001, 3271, 4829, 5440, 6280, 7976, 150, 1141, 2887, 3472, 4701, 5616, 6702, 8151, 1025, 1782, 3145, 3937, 5088, 5978, 6850, 8012, 643, 1850, 2515, 4055, 5084, 6129, 6352, 7976, 887, 1777, 2210, 3540, 4782, 6167, 6776, 7313, 465, 1523, 2222, 3564, 4955, 6050, 6633, 7859, 992, 1926, 2727, 3273, 4325, 6041, 6784, 7629, 83, 1199, 2373, 3920, 4804, 5589, 6650, 7331, 1019, 1440, 2389, 3946, 5005, 6037, 6478, 7881, 992, 1183, 2389, 4128, 4324, 6002, 6756, 7375, 992, 1721, 3040, 3779, 5175, 5311, 6847, 8078, 536, 1440, 2130, 3273, 4755, 5408, 6478, 8242, 299, 1571, 3040, 3755, 4666, 5315, 6780, 8206, 299, 1440, 3151, 3934, 4575, 6125, 7059, 7954, 150, 1740, 2901, 3884, 4761, 5360, 6823, 7329, 1029, 1740, 3037, 3486, 4930, 5418, 6962, 7513, 668, 1407, 2933, 3454, 4642, 6194, 6730, 8121, 668, 1183, 2890, 3154, 4210, 6181, 7247, 7796, 179, 1346, 2546, 4137, 4274, 5957, 6940, 7472, 966, 1496, 2482, 3180, 4545, 6133, 6433, 8062, 296, 1368, 3063, 3394, 4702, 5879, 6998, 7620, 262, 1490, 3051, 4123, 5184, 6179, 7017, 7809, 942, 1212, 3033, 3459, 5098, 5479, 7227, 7973, 899, 1665, 2163, 3886, 4562, 5586, 6991, 7706, 518, 1904, 2659, 3581, 4652, 5625, 7003, 7796, 518, 1526, 2468, 3605, 5153, 5896, 6810, 7881, 878, 2111, 2981, 3225, 5165, 5624, 7218, 7827, 256, 1876, 3147, 4113, 5075, 6119, 6630, 7732, 935, 2097, 2775, 4017, 5061, 5534, 7129, 8260, 186, 2017, 3095, 3914, 4912, 5219, 7084, 8260, 984, 1623, 2984, 4166, 5080, 5219, 7201, 8080, 617, 1320, 3095, 3994, 5138, 6205, 6688, 7876, 874, 1695, 2518, 4115, 5091, 5296, 6704, 7473, 256, 1974, 2833, 3550, 5079, 6175, 6749, 7720, 337, 1684, 2970, 3951, 5075, 5705, 7217, 8118, 552, 2032, 2560, 3681, 4423, 6204, 6302, 7641, 967, 2065, 2970, 3681, 4549, 5767, 6584, 7255, 153, 1332, 2493, 3391, 4536, 5220, 6688, 7887, 967, 2111, 2970, 3564, 4888, 5987, 6810, 7768, 1015, 1684, 2970, 4098, 4478, 5890, 7090, 7865, 844, 1755, 2579, 4105, 4691, 6031, 6455, 8267, 318, 2127, 2363, 4153, 4598, 5216, 6642, 8054, 668, 1521, 2299, 3552, 4611, 5629, 6609, 8244, 1036, 1179, 2380, 3727, 4553, 5665, 6238, 7333, 692, 1552, 2965, 3543, 4760, 6031, 6656, 7911, 862, 1896, 2147, 4133, 4854, 6006, 7217, 8069, 1080, 1457, 2316, 3390, 4539, 5720, 7170, 8187, 668, 1379, 2380, 3865, 5066, 5489, 6547, 7882, 1036, 1179, 2380, 4087, 4552, 6163, 6905, 7369, 1036, 1564, 2363, 3243, 5146, 5720, 6255, 7289, 1101, 1284, 2954, 3486, 5069, 5988, 6635, 7883, 668, 1543, 2325, 4049, 5146, 5871, 6225, 7462, 386, 1938, 2290, 3515, 4819, 5346, 6991, 7650, 643, 1496, 3060, 3878, 5150, 5938, 6816, 7986, 970, 1356, 2638, 4082, 5051, 6218, 6393, 7687, 504, 1110, 2924, 3536, 4617, 6123, 7222, 8126, 1024, 1755, 2727, 3956, 4489, 5352, 6412, 8248, 643, 1717, 2724, 3910, 5134, 5890, 6830, 7906, 970, 1271, 2924, 3909, 4589, 5413, 6302, 7899, 401, 1721, 2960, 3440, 4870, 5678, 7143, 7992, 1056, 1998, 3043, 3540, 5098, 5749, 6702, 8016, 1097, 1998, 2838, 4115, 5104, 5694, 7201, 7557, 186, 1467, 3006, 4011, 4287, 5705, 6988, 8066, 1099, 1280, 2960, 4071, 4276, 5241, 6515, 8085, 510, 2017, 2943, 3982, 4470, 5661, 6776, 8076, 967, 1175, 3007, 3277, 5061, 5752, 6988, 7570, 473, 1509, 3112, 3975, 4781, 5832, 7133, 7750, 271, 1499, 2363, 3252, 5085, 5337, 6719, 8261, 249, 1503, 2628, 3295, 4330, 5685, 6850, 7704, 1070, 1296, 3040, 3663, 4755, 5909, 6360, 7916, 1070, 1503, 2727, 3779, 4576, 5327, 6965, 7369, 966, 1503, 2757, 3557, 4671, 5991, 6583, 8129, 673, 2009, 3040, 3748, 4591, 5999, 6509, 8156, 271, 1503, 2827, 3269, 4273, 5594, 6625, 7619, 373, 1697, 2213, 3543, 5080, 5966, 6348, 7672, 951, 2125, 2505, 4152, 5057, 5899, 7149, 7769, 484, 2065, 2803, 3602, 5044, 5308, 7007, 7658, 403, 2106, 3062, 3886, 4890, 5328, 6551, 7586, 132, 1684, 2803, 3994, 5007, 5929, 6588, 7729, 153, 1961, 2167, 4124, 4724, 6024, 6898, 7707, 878, 1286, 3035, 3562, 4344, 5485, 6515, 7397, 405, 1684, 3043, 3309, 4374, 5968, 6891, 7753, 716, 1561, 3095, 3648, 4620, 5624, 7157, 7826, 540, 1510, 2890, 4138, 4664, 6178, 7163, 7706, 725, 1510, 2766, 3602, 5088, 5752, 6612, 7513, 645, 1510, 3106, 3869, 5139, 5589, 7030, 7496, 465, 1171, 2989, 3793, 5088, 6078, 6603, 8036, 465, 2048, 2678, 3394, 4428, 6024, 6962, 8212, 1101, 1140, 2677, 3635, 4364, 6133, 7112, 8079, 1101, 1865, 2378, 3544, 4364, 5313, 6883, 7955, 976, 1463, 2290, 3456, 5124, 5782, 6337, 7975, 1011, 1141, 2797, 3748, 4221, 5614, 6260, 7498, 304, 2079, 3150, 3873, 5096, 5366, 6376, 7687, 390, 1791, 2352, 3430, 5026, 5590, 7222, 7492, 645, 2125, 3095, 4044, 4398, 5981, 6646, 8247, 980, 1165, 2975, 3732, 4720, 5763, 6607, 7962, 952, 1125, 2905, 3788, 4844, 5653, 6954, 7400, 465, 1586, 2502, 4155, 4994, 5802, 6614, 7786, 807, 1586, 2422, 3491, 5151, 5574, 6603, 7361, 363, 1586, 2516, 3485, 4796, 6135, 6603, 7480, 299, 2059, 3091, 3485, 4378, 5640, 6466, 8019, 895, 1617, 2497, 3300, 5124, 5782, 6461, 8117, 83, 1655, 2610, 3276, 5008, 6010, 6592, 8255, 1067, 1205, 2595, 3398, 4942, 5562, 7192, 8081, 277, 1671, 2189, 3543, 4873, 6010, 6493, 7491, 778, 1871, 2965, 3227, 4805, 5671, 6247, 8154, 887, 1919, 2697, 3796, 5151, 6024, 6354, 7951, 1025, 1783, 2326, 3498, 4709, 5346, 6349, 8022, 1011, 1878, 2194, 4047, 4589, 5730, 6367, 7591, 641, 2095, 3008, 3671, 5079, 5694, 6467, 8226, 424, 1931, 2965, 3743, 4691, 5980, 7100, 8075, 641, 1919, 2307, 4047, 4191, 5740, 6517, 7892, 826, 2035, 2674, 3245, 4702, 5501, 6892, 7408, 1029, 1554, 2923, 3685, 4381, 5551, 6687, 7983, 920, 1531, 2915, 3997, 5179, 5862, 6759, 7337, 1080, 1171, 2282, 3498, 4687, 5585, 6278, 7856, 862, 1806, 3085, 3410, 4921, 6197, 6830, 7796, 545, 1164, 2387, 4066, 4985, 5231, 6376, 7404, 487, 1691, 2717, 3956, 4530, 5768, 6815, 7973, 582, 1504, 2366, 4096, 4421, 5276, 7145, 7740, 643, 2102, 2315, 3529, 5040, 5600, 6270, 7944, 356, 2033, 2740, 4174, 5115, 6156, 6985, 8248, 568, 1311, 2326, 4153, 4895, 5918, 6562, 7655, 225, 1147, 3141, 3532, 4191, 5364, 6607, 8213, 228, 1140, 2181, 3227, 4398, 5761, 6668, 8266, 654, 1865, 3097, 3798, 4186, 6129, 7095, 8236, 654, 1286, 2167, 3753, 4855, 6137, 7095, 8146, 228, 2034, 2473, 3277, 4912, 5436, 6607, 7716, 518, 1971, 2860, 3798, 4555, 5514, 6810, 7838, 240, 1585, 2341, 3955, 4859, 5548, 7069, 7706, 240, 1332, 2468, 4145, 5120, 5755, 6883, 7776, 419, 1858, 2781, 3827, 5166, 5963, 7129, 8126, 915, 1961, 2729, 3893, 4798, 5534, 6988, 8147, 915, 1961, 2806, 3893, 4398, 6139, 6794, 8196, 915, 1961, 2729, 3893, 4704, 5493, 6988, 7715, 915, 2017, 2914, 3595, 4798, 5241, 7124, 7766, 541, 1601, 2830, 4145, 4923, 5764, 7090, 8076, 165, 1826, 3095, 4073, 4751, 5814, 6966, 8117, 489, 1677, 3052, 3963, 4359, 6123, 6766, 7899, 684, 2045, 3144, 3891, 4630, 5438, 7058, 7664, 752, 1759, 2315, 4096, 5157, 5778, 6302, 7624, 936, 1523, 2547, 3354, 4352, 5356, 6777, 8095, 536, 1542, 2503, 4038, 4594, 5540, 6853, 7608, 299, 2070, 2174, 3218, 5018, 5283, 6965, 8266, 840, 1838, 2719, 3560, 5148, 5649, 7181, 8168, 826, 1931, 2968, 3513, 4358, 5643, 6254, 7422, 993, 1838, 2688, 4046, 4271, 5884, 6814, 7951, 784, 1838, 2747, 4003, 5032, 5828, 6681, 7490, 504, 1674, 2785, 3844, 4322, 6119, 7100, 7742, 1024, 1858, 2167, 3997, 5188, 5579, 6378, 7516, 951, 1173, 2892, 3908, 4334, 5699, 7193, 7768, 1056, 1141, 3150, 3918, 5106, 6214, 7090, 8076, 484, 1508, 2293, 3645, 5159, 5705, 6901, 7485, 818, 1998, 2996, 3201, 5080, 5534, 7132, 7949, 510, 1874, 3110, 4085, 4792, 5534, 7132, 7876, 488, 1847, 3006, 3982, 5104, 6081, 6979, 7949, 956, 1998, 2803, 3710, 4867, 5705, 6972, 8267, 818, 2017, 2991, 3440, 4624, 6195, 6794, 8185, 818, 2017, 3065, 3886, 4980, 5241, 7132, 8267, 818, 1528, 2914, 3893, 4287, 5210, 6515, 8080, 818, 1622, 2991, 3893, 5080, 5635, 7124, 7806, 818, 2017, 3065, 3893, 4782, 6139, 6794, 7806, 818, 2017, 3007, 3710, 4888, 6081, 7124, 7766, 488, 1528, 2164, 3893, 4624, 6081, 6794, 8260, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4798, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 64, 45, 63, 47, 16, 64, 52, 47, 5, 51, 16, 54, 64, 36, 54, 30, 5, 28, 26, 5, 76, 17, 54, 5, 17, 75, 5, 31, 48, 78, 5, 51, 63, 20, 64, 44, 41, 64, 54, 76, 12, 63, 78, 5, 66, 36, 54, 44, 55, 5, 43, 39, 64, 66, 16, 52, 47, 5, 28, 44, 41, 20, 63, 5, 31, 33, 53, 5, 16, 54, 30, 5, 28, 48, 44, 55, 5, 54, 11, 51, 66, 5, 30, 23, 54, 5, 28, 26, 5, 16, 5, 62, 14, 64, 44, 55, 5, 51, 14, 63, 44, 50, 5, 5, 3, 654, 1286, 3048, 4121, 4675, 6051, 6671, 7865, 240, 1556, 2792, 3595, 5089, 5837, 6612, 7260, 518, 2127, 3064, 4111, 5166, 5413, 7152, 8147, 654, 1286, 2359, 3904, 4700, 5220, 6607, 8118, 225, 1719, 2717, 3777, 4344, 5908, 6371, 7383, 513, 1411, 2761, 3596, 4335, 5968, 6988, 8237, 767, 1411, 2138, 4078, 4700, 6120, 6816, 7971, 402, 1640, 2222, 3596, 4307, 6175, 6978, 7900, 480, 1640, 2312, 3363, 4489, 6154, 6872, 7860, 480, 1541, 3127, 4096, 4638, 6203, 6923, 7765, 480, 1442, 3080, 3373, 4644, 6204, 7035, 8255, 344, 1382, 2132, 3298, 4459, 6168, 6728, 8206, 344, 1711, 2491, 4159, 5164, 6135, 6434, 8235, 344, 1711, 2491, 3472, 4329, 5692, 7040, 7568, 344, 1758, 2505, 3918, 4459, 6216, 6431, 7547, 961, 1967, 2397, 3192, 4555, 5641, 6717, 7583, 1011, 1668, 2511, 3233, 4555, 5308, 6790, 7779, 262, 1736, 3061, 3165, 4920, 6124, 6822, 7568, 942, 1498, 2808, 3955, 4920, 5752, 6258, 7776, 722, 1411, 2891, 3672, 4259, 5259, 6528, 8126, 392, 1640, 2242, 3550, 5122, 5320, 6576, 7617, 807, 2045, 2701, 4030, 4985, 5223, 6573, 7684, 582, 1640, 2511, 3298, 4231, 5324, 7232, 8045, 722, 1550, 2891, 3570, 5165, 5929, 6242, 7752, 545, 1411, 2867, 3372, 5043, 5513, 7241, 7537, 807, 1567, 2717, 4066, 4914, 5344, 6573, 7549, 1080, 1550, 2940, 3521, 4942, 6117, 6537, 7409, 1036, 1637, 2327, 3372, 5053, 5875, 6821, 7817, 692, 1732, 2644, 3796, 4376, 5655, 6466, 7962, 759, 1768, 2609, 4055, 4208, 6118, 7018, 8208, 955, 1938, 2973, 3928, 5115, 5463, 6923, 7751, 228, 1918, 2659, 4026, 5106, 5536, 6607, 7538, 195, 1826, 2986, 3364, 4266, 5276, 6957, 7522, 225, 1851, 3026, 4166, 4863, 6117, 6704, 7959, 518, 1596, 3139, 3861, 4533, 6086, 6850, 8179, 518, 1758, 2181, 3933, 4813, 5893, 6298, 8203, 901, 1264, 2869, 3505, 5122, 5436, 6767, 7776, 789, 1847, 2858, 3945, 4601, 5730, 6604, 8164, 304, 1508, 2858, 3680, 4387, 5944, 6338, 7806, 391, 1346, 2675, 4098, 4859, 6149, 6540, 7658, 948, 1548, 2724, 4130, 5120, 5950, 6938, 8227, 613, 2091, 2725, 3973, 5117, 5344, 7223, 7646, 1080, 1717, 2327, 4137, 4816, 5863, 7135, 7810, 725, 1164, 2750, 4128, 5151, 5802, 6768, 7755, 103, 1948, 2429, 3592, 4461, 6200, 7197, 8189, 804, 1280, 2610, 3487, 4555, 6205, 6732, 8077, 956, 1777, 2991, 4108, 4993, 6182, 6786, 8147, 914, 1847, 3021, 4174, 5080, 6051, 7201, 8237, 541, 1319, 2941, 3376, 4869, 5223, 6371, 7645, 707, 1286, 2608, 3359, 4437, 5320, 6338, 7863, 211, 2091, 2288, 3990, 5079, 5590, 6752, 8102, 149, 1932, 2271, 3256, 5073, 5515, 6604, 7386, 1009, 1281, 2271, 3720, 4571, 5221, 6768, 7313, 271, 1120, 2725, 3653, 5088, 5216, 6954, 7538, 216, 2072, 3070, 3756, 4877, 5658, 7173, 7833, 731, 1778, 2265, 3929, 4894, 5908, 6338, 7808, 643, 1717, 2365, 3910, 4191, 5573, 7222, 7631, 970, 1302, 2740, 3430, 4392, 5650, 6787, 7959, 401, 1620, 3075, 3886, 4429, 6175, 6734, 7641, 240, 1620, 3133, 4039, 5169, 5532, 6254, 8179, 127, 2002, 3133, 3916, 5179, 5978, 6225, 7816, 654, 1597, 2792, 3470, 4859, 5963, 7120, 8130, 518, 1645, 2833, 4006, 4398, 6110, 7090, 7773, 225, 1736, 2221, 3376, 5007, 5650, 7024, 7303, 228, 2111, 3133, 3350, 4326, 6149, 6338, 7899, 225, 1789, 3048, 3799, 4870, 5413, 6900, 7811, 228, 1468, 3131, 3213, 4179, 6128, 6270, 7929, 183, 2111, 3095, 3391, 4704, 6110, 6612, 7563, 401, 1283, 2381, 3945, 5183, 5543, 6740, 7717, 223, 1171, 2792, 3818, 4470, 5615, 6736, 7469, 1023, 1758, 2897, 3905, 4602, 5823, 6447, 8074, 840, 1510, 2915, 3703, 4503, 5589, 6915, 8009, 884, 1758, 2636, 3484, 5036, 5608, 6814, 7617, 895, 1758, 2636, 3766, 4992, 5589, 6388, 7929, 150, 1403, 2905, 3177, 5007, 5456, 6755, 7672, 759, 2001, 2905, 3380, 4936, 5947, 6610, 7792, 993, 1435, 2128, 3165, 4609, 5564, 6818, 7496, 936, 1821, 2740, 3373, 5050, 6028, 6827, 7299, 936, 1496, 2744, 3190, 5018, 5620, 6958, 7623, 536, 1918, 2378, 4007, 4254, 5605, 6839, 7925, 299, 2013, 2387, 4153, 5154, 6184, 7085, 7930, 150, 1227, 2298, 4101, 4179, 5413, 6321, 7810, 504, 1676, 2352, 3771, 4834, 6022, 6393, 7508, 643, 1682, 2724, 3848, 4954, 5332, 7162, 8227, 887, 1717, 3033, 3840, 4561, 5515, 7168, 7367, 887, 1771, 2678, 4150, 4895, 5966, 6771, 7570, 304, 1978, 2661, 3566, 5183, 5536, 7058, 7485, 804, 1350, 2838, 4027, 4366, 5687, 6996, 8066, 308, 1944, 2340, 3945, 4782, 6103, 7058, 8267, 510, 1878, 2703, 3540, 5104, 5641, 7090, 8147, 959, 2046, 2903, 3929, 5061, 6182, 6467, 7547, 1016, 1318, 2838, 3538, 4428, 5204, 6646, 7732, 1030, 1402, 2137, 3676, 4591, 5572, 7014, 7816, 1030, 1402, 2612, 3675, 5030, 5938, 6619, 7843, 508, 1402, 3040, 3360, 4728, 5522, 6999, 7986, 1030, 1402, 3040, 3675, 4674, 5515, 6715, 8231, 492, 2079, 2815, 3777, 4674, 5946, 6542, 7799, 113, 1503, 3034, 3376, 4237, 5621, 6939, 8131, 113, 1974, 2716, 3777, 4857, 5636, 7022, 7869, 759, 1924, 2869, 3936, 4826, 5551, 6847, 7576, 150, 1496, 2183, 3772, 4364, 6033, 6929, 7398, 738, 2118, 2687, 3822, 4679, 6034, 7162, 8151, 1063, 1171, 2238, 3394, 4539, 5654, 6357, 7494, 887, 1797, 2715, 3891, 4709, 5645, 7207, 7296, 1090, 1299, 3038, 3929, 4229, 5944, 7230, 7873, 1090, 1660, 3092, 3492, 4942, 6171, 6300, 8176, 663, 1485, 3108, 3398, 5008, 6025, 6493, 7539, 1051, 1881, 3108, 3971, 4994, 6195, 6884, 7807, 1056, 1747, 3008, 3945, 5104, 5757, 6646, 8076, 288, 2095, 2924, 3188, 4583, 5241, 6786, 8185, 1090, 1660, 3064, 4166, 4870, 5204, 6668, 7908, 610, 1370, 2925, 3540, 4713, 6014, 7004, 8083, 778, 1315, 2307, 3468, 4308, 5911, 6702, 7678, 864, 1919, 2715, 3214, 4285, 5623, 7220, 8240, 547, 1168, 2383, 3604, 4933, 5717, 7156, 7861, 864, 1581, 3010, 3244, 4965, 5216, 6429, 8025, 271, 1559, 2865, 3475, 4429, 6026, 6766, 8072, 1011, 1685, 3092, 3973, 4730, 6073, 6299, 7825, 831, 1778, 2520, 3828, 4983, 5413, 6509, 7962, 1025, 1182, 2326, 3870, 4323, 5586, 7152, 7957, 610, 1238, 2783, 3440, 4387, 6222, 6528, 7421, 465, 1978, 2139, 3376, 4854, 6043, 7025, 7568, 1005, 1682, 2366, 3796, 4470, 5716, 6360, 7686, 271, 1972, 2677, 3582, 4861, 5413, 7127, 7875, 1025, 1463, 3112, 4150, 4197, 5334, 7140, 7887, 610, 1871, 2688, 3249, 5073, 5705, 6393, 8054, 1056, 2095, 2838, 3776, 4592, 5534, 7201, 8195, 288, 2095, 3061, 3975, 4583, 6014, 6752, 8185, 914, 2107, 2924, 4085, 4630, 5534, 6515, 7723, 512, 2046, 3095, 3982, 5106, 5883, 7239, 8237, 857, 1320, 2238, 4113, 4918, 5515, 6884, 7965, 887, 1397, 2533, 3535, 4555, 5840, 6550, 7825, 807, 1660, 2817, 3755, 5142, 5465, 6911, 7531, 1052, 1732, 2261, 3425, 4807, 5706, 6883, 7721, 1040, 1550, 2401, 3669, 4321, 5534, 6908, 8238, 104, 1388, 2601, 3245, 4804, 6122, 6710, 7386, 1025, 1942, 2254, 3756, 4882, 5746, 6566, 7707, 487, 1255, 2404, 3425, 4918, 5250, 6241, 7967, 487, 1581, 2798, 3304, 4797, 5200, 6919, 8126, 150, 1550, 2701, 3424, 5092, 5826, 6959, 7656, 610, 1249, 2321, 3363, 4334, 5360, 6338, 8139, 756, 1125, 2725, 3952, 4743, 6122, 6235, 7821, 228, 1684, 2669, 3811, 5092, 5218, 6613, 7831, 228, 1349, 2895, 3671, 4701, 5981, 6607, 7476, 228, 1623, 2380, 4125, 4863, 5640, 6589, 7865, 228, 1684, 2839, 3348, 4863, 5573, 6604, 7494, 568, 2118, 2656, 4166, 5040, 5438, 6688, 7664, 757, 1570, 2833, 3518, 5080, 5942, 6607, 7677, 201, 2097, 2833, 3662, 4704, 5493, 6515, 7664, 1002, 1622, 3117, 3367, 4549, 6139, 7077, 8196, 860, 2017, 2806, 3825, 4624, 6139, 7226, 8147, 860, 1528, 2914, 3825, 4624, 6139, 7077, 7715, 488, 2017, 3117, 3367, 4624, 5635, 7124, 8237, 818, 1622, 2914, 3893, 4888, 5635, 6972, 7949, 100, 2115, 2326, 3740, 4429, 5227, 7016, 7598, 100, 2024, 2845, 3994, 4787, 5332, 6668, 7718, 153, 1961, 3143, 3795, 4336, 5413, 6491, 7647, 153, 1141, 3007, 3681, 4877, 5963, 6706, 7806, 512, 1833, 2792, 3352, 4589, 5705, 6876, 7703, 731, 1370, 3098, 3388, 4556, 5637, 6708, 8014, 895, 1385, 2661, 3847, 4280, 5413, 6252, 7992, 249, 1838, 3090, 3373, 5193, 5559, 7202, 7426, 1066, 1877, 2750, 3615, 4971, 5395, 7000, 7624, 1066, 1893, 3090, 3289, 4337, 6071, 6264, 7628, 895, 1387, 2741, 3956, 4291, 5205, 6684, 7770, 1016, 1900, 2741, 3229, 4390, 5794, 6807, 7810, 938, 1881, 2873, 3467, 4672, 5573, 6462, 8014, 265, 1974, 3132, 3731, 4843, 6212, 6470, 7626, 1020, 1895, 3151, 3444, 4356, 5587, 6770, 8254, 405, 1660, 2858, 3370, 4667, 5869, 6848, 7902, 225, 2097, 2975, 4073, 4996, 5353, 7154, 7809, 225, 1509, 3038, 3686, 4934, 6113, 7216, 7341, 225, 1758, 2596, 3662, 4852, 5943, 6348, 7861, 228, 2106, 2554, 4111, 4181, 5521, 7207, 7831, 317, 1562, 2833, 4166, 5048, 5844, 6338, 7664, 228, 2111, 3139, 3870, 4993, 5590, 6486, 7750, 899, 2111, 2565, 3623, 4684, 5615, 6876, 7781, 955, 1684, 2554, 3595, 4602, 5485, 6414, 7948, 1033, 1834, 2210, 4151, 4228, 5582, 6847, 7538, 443, 1286, 2787, 4128, 4804, 6206, 6292, 7256, 778, 1550, 2375, 4015, 4804, 5398, 7117, 7914, 1033, 2053, 2389, 3939, 4565, 6002, 6385, 7846, 104, 1858, 2292, 4005, 4494, 5208, 6740, 7527, 663, 1146, 2794, 4087, 4764, 5893, 6910, 8126, 610, 1809, 2794, 3885, 5153, 5350, 7019, 7480, 610, 1782, 2258, 3917, 5088, 6175, 6708, 7891, 610, 1302, 2801, 3410, 4801, 5295, 7090, 7570, 1025, 1773, 2924, 3912, 4212, 5663, 7207, 8195, 1025, 1773, 2803, 3201, 4455, 5883, 6604, 7664, 955, 2000, 2989, 3662, 4859, 5752, 7084, 7602, 568, 1255, 2751, 4106, 5098, 5904, 7152, 8118, 225, 1570, 2573, 3720, 4815, 6193, 6296, 7732, 225, 1887, 2562, 3595, 5135, 5968, 6715, 7275, 228, 2002, 2424, 3516, 4179, 5465, 6584, 7664, 228, 1326, 2833, 4026, 4398, 5515, 6668, 7715, 225, 1736, 2359, 3879, 5075, 5472, 6604, 7846, 617, 2002, 2791, 3726, 5053, 5548, 6468, 7660, 171, 1198, 3150, 3628, 4423, 5730, 7203, 8070, 484, 1833, 2729, 3932, 5104, 5515, 6430, 8080, 956, 1705, 2554, 3932, 5104, 5883, 7084, 8080, 390, 1280, 2947, 3866, 4980, 6129, 6589, 7557, 223, 1370, 3060, 3398, 4554, 5440, 7237, 7718, 895, 1721, 2998, 3950, 4374, 5844, 6953, 7887, 998, 2059, 2396, 3870, 5067, 5935, 6870, 7284, 839, 1283, 2401, 3327, 4800, 5565, 6595, 7311, 986, 1283, 2556, 3939, 4804, 6187, 7033, 8017, 104, 1942, 2491, 3337, 5162, 5204, 6883, 7838, 103, 1238, 2885, 3949, 4641, 5441, 6783, 7363, 390, 1147, 2463, 3812, 4993, 6195, 6772, 8266, 1097, 1791, 2598, 3803, 5143, 5869, 6613, 7336, 818, 1992, 2936, 3803, 4551, 6085, 6668, 8066, 142, 1528, 3117, 3188, 4822, 6186, 6709, 7949, 510, 1700, 2771, 4071, 5104, 6211, 7239, 8179, 914, 1218, 3128, 3188, 4622, 5705, 7157, 7485, 165, 1965, 2137, 3502, 4214, 6179, 6750, 8244, 390, 1736, 2293, 3513, 4867, 5413, 6996, 8164, 271, 1682, 2895, 4038, 4586, 6181, 7050, 7607, 668, 1108, 2218, 3689, 4415, 5898, 6410, 7529, 692, 1663, 2905, 3741, 4776, 5965, 6623, 7254, 802, 1139, 2905, 3304, 4770, 5297, 7009, 8116, 993, 1758, 2480, 3581, 4267, 6035, 6973, 8139, 862, 1108, 2455, 3376, 4784, 5973, 6281, 7856, 344, 1494, 2142, 3611, 5110, 5312, 6890, 8140, 862, 1553, 2848, 3674, 4321, 5589, 6623, 8009, 1080, 1919, 2142, 3572, 5157, 5414, 6938, 8197, 487, 1545, 3055, 3605, 4604, 6104, 6682, 7617, 862, 1171, 2349, 3613, 4988, 5643, 6391, 7904, 992, 2107, 2156, 3570, 4458, 6028, 6248, 7531, 317, 1489, 2188, 3894, 4900, 5795, 6383, 7725, 654, 1177, 2980, 3592, 4298, 5325, 6468, 7929, 240, 1756, 2554, 3440, 4538, 5276, 6918, 8060, 654, 1684, 2989, 3391, 4398, 5514, 6830, 7753, 240, 2064, 2223, 3564, 4877, 5980, 6677, 7905, 518, 2067, 2833, 3595, 5138, 6110, 7207, 8099, 543, 2118, 2210, 3350, 4888, 6149, 7152, 7262, 555, 1684, 2560, 4145, 5079, 5963, 6809, 8132, 201, 1528, 2806, 3914, 4870, 5677, 7168, 8147, 488, 2017, 2806, 3825, 4782, 6129, 7201, 7865, 555, 1684, 2858, 4026, 4704, 5635, 7120, 7485, 555, 1684, 2806, 3914, 5159, 6129, 7100, 8223, 859, 1684, 2858, 3188, 5106, 5436, 6677, 8083, 859, 1695, 2340, 3515, 4890, 6182, 6291, 7677, 555, 1147, 2858, 4006, 5159, 5901, 6677, 7716, 859, 1332, 2858, 4096, 4549, 5901, 7152, 7865, 859, 1332, 2858, 4068, 5160, 5901, 6752, 7715, 555, 1974, 2918, 3391, 4267, 5635, 7098, 7716, 859, 1332, 3064, 3374, 5190, 5844, 6752, 7831, 555, 1684, 2858, 3425, 4549, 5438, 7006, 8093, 915, 1528, 3021, 3374, 4624, 5635, 7100, 8076, 555, 1648, 2554, 4153, 4622, 5935, 7077, 7732, 555, 1684, 3021, 3391, 5157, 5550, 6752, 8093, 915, 1684, 3021, 4168, 4681, 5635, 7077, 7865, 555, 1648, 2833, 3914, 4681, 5901, 7077, 7865, 915, 1147, 2806, 3893, 4512, 5635, 6584, 8196, 915, 1684, 3021, 3825, 4512, 5981, 6996, 8196, 915, 1528, 3021, 3374, 4798, 5515, 6584, 7664, 915, 1147, 2806, 3893, 4622, 5219, 6584, 8196, 555, 1684, 3021, 4166, 5166, 6139, 7006, 7766, 915, 2017, 2833, 3893, 4624, 5635, 7226, 7766, 915, 2017, 2833, 3893, 4624, 5635, 7124, 8196, 915, 1684, 3021, 3825, 4624, 5219, 7090, 8196, 915, 1684, 2164, 3825, 5159, 6139, 6996, 8223, 488, 1528, 2164, 3893, 4624, 6186, 7077, 8080, 488, 1528, 2164, 3893, 4624, 6139, 7120, 8223, 488, 1648, 2806, 3893, 4798, 6139, 6752, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7226, 8196, 488, 2017, 2164, 3893, 4624, 6186, 7124, 8223, 488, 2017, 2164, 3893, 4798, 6081, 7124, 7766, 142, 1528, 2914, 3367, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4798, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2164, 3827, 4624, 6139, 7124, 7766, 142, 1622, 2914, 3367, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 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, 756, 1974, 2880, 4026, 5061, 5730, 7114, 7563, 411, 1108, 2718, 4149, 4870, 5752, 7198, 7880, 568, 1684, 2175, 3645, 4192, 5767, 6701, 7838, 272, 1373, 3075, 3605, 4179, 5218, 6683, 8132, 166, 1286, 2156, 3933, 4652, 5622, 6827, 7957, 1066, 2033, 2378, 3424, 4644, 6097, 7014, 7509, 249, 1710, 2927, 3817, 4297, 5441, 6504, 8219, 443, 1189, 2378, 3205, 4364, 5507, 6948, 7824, 462, 1758, 2378, 3517, 4395, 6062, 6950, 8133, 786, 1884, 2396, 4154, 4539, 6029, 6448, 7480, 786, 1884, 2260, 3755, 4941, 5756, 6692, 8165, 936, 1116, 2142, 4037, 5052, 6028, 6309, 8167, 993, 1349, 2401, 3376, 5000, 6145, 6847, 7538, 826, 1633, 2401, 3732, 4588, 5413, 7096, 8140, 826, 1633, 2793, 3233, 4774, 5325, 6836, 7576, 993, 1116, 2503, 3924, 4743, 5486, 6224, 7856, 557, 1652, 2665, 3888, 5114, 6145, 7149, 7858, 896, 1550, 3074, 3778, 4364, 5597, 7172, 7885, 1004, 1838, 3029, 3500, 4288, 5202, 6760, 7393, 784, 1706, 2492, 3582, 4706, 5454, 6282, 8129, 887, 1778, 2867, 3649, 4421, 5478, 6883, 7267, 1025, 1499, 2733, 4096, 4337, 5632, 7043, 7602, 643, 1653, 2260, 3848, 4189, 5784, 6225, 7395, 643, 2107, 2163, 3205, 5110, 5441, 6563, 8151, 844, 1269, 2268, 4067, 4237, 5810, 6466, 8031, 308, 2068, 3149, 3413, 4622, 6149, 6709, 7962, 356, 2107, 2750, 3873, 4606, 5624, 7237, 8164, 308, 1876, 2924, 3982, 4859, 6103, 6829, 8126, 356, 1288, 3021, 3929, 5061, 5413, 6840, 8117, 820, 2045, 2432, 3424, 4186, 5978, 6412, 8132, 1049, 1964, 2515, 3726, 4700, 5968, 7063, 7501, 113, 1905, 2336, 3214, 4257, 6114, 6517, 7535, 247, 1815, 3029, 3623, 5098, 5773, 7067, 7994, 247, 1782, 3029, 3728, 4351, 6191, 6241, 7678, 487, 1397, 2750, 3462, 4351, 5297, 7227, 8184, 487, 1581, 3029, 3372, 5072, 5468, 7095, 7633, 986, 1233, 3029, 3307, 4298, 6156, 6903, 7824, 715, 1561, 2132, 3570, 5020, 5865, 6234, 7429, 568, 1286, 3035, 3746, 5179, 5516, 6613, 7953, 225, 1286, 2905, 3238, 4549, 5705, 6688, 8078, 225, 1606, 2953, 3782, 5160, 5413, 6607, 7563, 568, 1684, 2356, 3363, 4890, 5672, 6607, 7887, 225, 1147, 2904, 3662, 4304, 5413, 7129, 7605, 228, 1750, 2359, 3994, 4486, 5795, 6412, 7753, 240, 1468, 2221, 3550, 4459, 6129, 6584, 7677, 543, 1468, 2941, 4113, 4624, 5837, 7132, 8126, 419, 2078, 2806, 3803, 5160, 5210, 7084, 7707, 543, 1623, 2858, 3879, 4555, 5705, 6715, 8262, 225, 2098, 2659, 3555, 4344, 5844, 6772, 8210, 183, 1304, 2487, 3555, 4836, 5610, 7019, 7563, 833, 2111, 3147, 3788, 5058, 5294, 6840, 8027, 685, 2114, 2675, 3229, 5088, 5863, 6979, 7533, 784, 1797, 2163, 3793, 4346, 5934, 7177, 7248, 150, 1682, 2163, 3356, 5091, 5903, 6401, 7834, 1066, 2048, 2693, 3960, 4369, 5384, 7115, 7833, 650, 1117, 2282, 4036, 4797, 5777, 6614, 7540, 650, 2001, 2282, 3869, 4833, 5611, 6614, 7381, 1025, 1903, 2435, 3993, 4383, 5599, 6812, 7599, 1025, 1400, 2282, 3788, 4734, 5286, 6497, 7889, 936, 2118, 2926, 4015, 5122, 5658, 6965, 7378, 299, 1695, 2156, 4084, 4804, 5863, 6388, 7396, 487, 1692, 2511, 3751, 4321, 6218, 6818, 7868, 271, 1561, 2456, 3355, 4539, 5200, 7100, 7918, 684, 1635, 2754, 3982, 4764, 5899, 6584, 7498, 684, 1407, 3021, 3866, 4181, 6129, 7218, 7290, 684, 1924, 2924, 4071, 5060, 5730, 7077, 8066, 211, 1924, 3128, 3440, 5166, 6211, 6972, 7876, 211, 1750, 3008, 3920, 5061, 5883, 6972, 7421, 725, 1509, 2923, 3889, 4318, 5825, 7001, 7480, 266, 1826, 2940, 3973, 4764, 6130, 7076, 8126, 314, 1826, 2807, 3292, 4816, 5523, 6905, 7584, 1029, 1826, 3085, 4096, 4220, 5923, 6937, 7779, 401, 1557, 2282, 3886, 4654, 5968, 6868, 7816, 308, 1304, 3110, 3886, 4387, 5661, 6891, 7918, 256, 1523, 2473, 3329, 4437, 5918, 6789, 8252, 256, 2030, 2730, 3550, 5176, 5436, 6565, 7574, 256, 1851, 2984, 3681, 4724, 6163, 7129, 7555, 878, 1851, 3021, 4112, 4459, 5436, 6880, 7807, 878, 1851, 3147, 3803, 5061, 5713, 7221, 7806, 153, 1304, 2970, 4171, 5079, 5576, 6529, 7262, 984, 1403, 2534, 3945, 4589, 5705, 6668, 8195, 304, 1939, 2754, 3885, 4387, 6141, 7157, 7732, 386, 2047, 3090, 3878, 4473, 5638, 6929, 7288, 333, 1630, 2294, 3703, 5041, 6002, 6426, 7405, 344, 2026, 2689, 3979, 4350, 5471, 7227, 7395, 344, 1469, 2689, 3991, 4595, 5365, 6391, 7930, 344, 1469, 2689, 3446, 5000, 6197, 6224, 7607, 344, 2089, 2325, 3979, 4214, 5370, 7021, 7956, 277, 1989, 2721, 4134, 4700, 5506, 6348, 8085, 864, 2026, 2330, 3187, 4350, 5567, 6348, 7627, 1008, 1633, 2353, 3450, 4368, 5512, 6494, 8244, 1016, 1703, 3149, 3755, 4206, 5223, 6631, 7910, 344, 1469, 2232, 4126, 4656, 5704, 6938, 7378, 277, 1716, 2491, 3693, 4510, 6190, 6866, 8015, 938, 1399, 3151, 3363, 4438, 6080, 6947, 7674, 1056, 1581, 2923, 3828, 4686, 5381, 6430, 7829, 390, 1463, 2946, 3391, 5085, 5279, 7010, 7906, 980, 1655, 3110, 3795, 4214, 5950, 6776, 7311, 1057, 1529, 2258, 3788, 4622, 6113, 6708, 7831, 664, 1717, 2188, 3521, 4904, 5452, 6663, 8163, 664, 1397, 2156, 3340, 4440, 6059, 6663, 7981, 137, 1397, 2987, 3469, 5054, 5843, 6461, 8270, 862, 1108, 2369, 3180, 5122, 5208, 6603, 7296, 880, 1494, 2378, 3624, 5019, 5591, 6592, 7545, 641, 1463, 2142, 3593, 4497, 5800, 6278, 8031, 826, 1881, 2440, 4154, 4229, 5964, 7192, 8205, 778, 2053, 2440, 3870, 5134, 5512, 6507, 8188, 104, 1881, 2480, 3732, 4203, 5835, 6908, 7494, 1025, 1141, 2326, 3870, 4197, 6205, 6531, 7570, 1056, 1581, 2926, 3932, 5080, 5963, 6732, 7676, 818, 1998, 2780, 4085, 4888, 5210, 7084, 7557, 914, 1620, 2925, 3945, 5159, 6131, 7132, 7557, 914, 2000, 2996, 4115, 5038, 6131, 6709, 7948, 818, 2001, 3095, 3886, 5058, 5705, 7084, 8267, 555, 2001, 3135, 3891, 4512, 5630, 6752, 8076, 552, 1695, 3144, 4011, 4670, 5550, 6347, 7876, 617, 1289, 2833, 3564, 5125, 5413, 6786, 8164, 617, 1974, 2370, 3535, 4890, 5899, 6840, 7537, 105, 2106, 2941, 4149, 4983, 5385, 7077, 7865, 617, 1750, 2833, 4149, 4615, 5493, 6840, 7549, 617, 1750, 3062, 3391, 4555, 5550, 7091, 7717, 859, 1974, 2454, 3866, 4555, 5935, 7077, 8126, 105, 1684, 3021, 3391, 4555, 5705, 6772, 7557, 617, 1695, 2792, 3217, 5160, 6048, 6604, 8061, 105, 2106, 2941, 4068, 4512, 6101, 6752, 7602, 105, 1684, 2941, 3391, 4681, 6061, 6584, 8126, 617, 1750, 2454, 4149, 4592, 5296, 6810, 7687, 105, 1147, 2833, 4149, 4512, 5296, 7006, 7485, 859, 1750, 2833, 4006, 4549, 5296, 6677, 7732, 105, 2106, 3064, 3391, 4387, 5385, 6291, 7643, 859, 1468, 2833, 4153, 4555, 5678, 6996, 8185, 859, 1468, 2856, 3662, 5159, 5901, 6752, 8236, 552, 1332, 2944, 3827, 4681, 6175, 7098, 7476, 555, 1684, 2944, 4153, 4624, 6182, 7124, 7290, 860, 2017, 3065, 3803, 5060, 5963, 7226, 8147, 142, 1622, 2806, 3825, 4704, 6139, 6709, 8223, 419, 1648, 2833, 3413, 4980, 5635, 6677, 7723, 715, 2021, 2953, 3560, 4181, 5894, 7043, 7634, 294, 1938, 3030, 3380, 4461, 5715, 7243, 7637, 557, 1938, 2951, 3329, 5114, 5269, 6290, 8212, 896, 1460, 2953, 4175, 4664, 5803, 7043, 7318, 443, 1938, 2678, 3261, 4595, 5533, 7038, 7748, 150, 2033, 2693, 3472, 4626, 5548, 6570, 8139, 887, 2033, 2868, 3307, 4672, 5863, 6335, 7791, 150, 2033, 2868, 3396, 5193, 6181, 7184, 7367, 150, 1255, 3080, 3728, 4427, 6074, 6335, 7341, 887, 1540, 2154, 3793, 4954, 5978, 6283, 7959, 405, 1141, 2136, 3671, 5073, 5205, 7030, 7753, 512, 2046, 2833, 4151, 5061, 6211, 6809, 8093, 308, 1791, 2989, 3226, 4592, 6129, 7239, 8267, 272, 1171, 2709, 3298, 4385, 5796, 7069, 7628, 807, 1717, 2210, 3963, 5073, 5362, 7063, 7791, 807, 2033, 2420, 3924, 4784, 5292, 6458, 7534, 807, 2054, 3116, 3500, 4601, 5321, 6976, 7442, 986, 2054, 3029, 3924, 4962, 5262, 7215, 7535, 896, 1550, 3029, 3224, 5031, 5447, 6225, 8205, 487, 1393, 2795, 3521, 4364, 5898, 6675, 8163, 487, 1117, 3029, 3573, 5051, 6154, 6998, 7937, 487, 2048, 2795, 3425, 4604, 6128, 6682, 7815, 487, 1393, 2348, 3398, 4364, 5914, 6283, 7906, 443, 1550, 3029, 3393, 4595, 6006, 6625, 7438, 986, 1397, 2495, 3251, 4774, 5760, 6284, 8137, 986, 2033, 2515, 4015, 4770, 6073, 6422, 7869, 807, 2033, 2515, 3991, 4934, 6183, 6480, 8117, 104, 1682, 2661, 4027, 4536, 5413, 6888, 8047, 104, 1682, 2429, 3403, 4641, 5641, 6567, 7559, 104, 1269, 3106, 4096, 5026, 6133, 7154, 7613, 104, 1494, 2256, 3771, 4358, 5653, 7086, 7559, 271, 1831, 2868, 4031, 4536, 5752, 7237, 7559, 271, 1831, 3034, 3233, 4365, 6222, 6900, 7376, 271, 1728, 2440, 3292, 5098, 5980, 6925, 7669, 826, 1269, 2581, 3949, 4953, 6178, 6878, 7528, 408, 1141, 2265, 3973, 4254, 5512, 6535, 7480, 850, 1141, 3085, 3309, 4544, 5983, 6804, 7585, 424, 1171, 2710, 3530, 4780, 5918, 6484, 7941, 884, 1910, 2652, 4067, 5101, 5631, 7114, 7826, 310, 1938, 2751, 3493, 4719, 5725, 6334, 7953, 775, 1490, 2345, 3741, 4256, 5649, 6768, 7312, 775, 1503, 2974, 3168, 4649, 5358, 7053, 7930, 840, 1348, 2345, 3902, 4927, 5272, 6497, 7378, 840, 1926, 2827, 4137, 4237, 5679, 6600, 7740, 942, 1780, 2316, 3902, 4649, 5390, 6884, 7572, 951, 1463, 2458, 3213, 5001, 6041, 7118, 7621, 288, 1750, 3135, 4063, 5189, 5614, 6293, 7831, 484, 2032, 3110, 4164, 5061, 5439, 7120, 8188, 427, 1876, 2944, 3975, 5095, 5924, 7010, 7591, 427, 1363, 3038, 3866, 4374, 5883, 7207, 8179, 186, 2073, 2991, 3803, 5060, 5586, 7006, 8267, 186, 2073, 2806, 4011, 5080, 5901, 6972, 7723, 488, 1528, 3008, 3893, 4630, 5705, 7201, 7715, 186, 1622, 2806, 4011, 4624, 5635, 6972, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1528, 2164, 3893, 4624, 6139, 7124, 8196, 488, 1528, 2164, 3893, 4624, 6139, 6794, 7949, 818, 1648, 2914, 4018, 4624, 6139, 6972, 8196, 935, 2017, 3110, 4174, 4366, 5635, 6988, 7723, 1091, 1692, 2803, 3814, 4387, 5288, 6734, 7480, 962, 1773, 2587, 4124, 4999, 5224, 6692, 7855, 1004, 1672, 2751, 3845, 4708, 5656, 7051, 7405, 1058, 1820, 3074, 3696, 4321, 5526, 6292, 7479, 604, 1630, 2751, 4128, 4288, 5716, 6700, 7271, 584, 1650, 2520, 4007, 4887, 5941, 7219, 7395, 113, 1934, 2163, 3356, 4316, 6193, 6295, 7561, 1041, 2061, 2474, 4112, 4364, 5501, 6437, 8217, 774, 1581, 2173, 3936, 5065, 5345, 6596, 8257, 271, 2050, 2369, 4073, 4814, 5960, 6370, 7534, 1067, 1440, 2140, 4067, 4417, 5325, 7215, 8013, 569, 1183, 3145, 4115, 4195, 5593, 6348, 8091, 404, 1440, 2389, 3283, 4557, 5512, 7117, 7672, 492, 1463, 2597, 3851, 4369, 5867, 7192, 7438, 113, 1912, 2790, 3859, 4604, 5576, 6478, 7365, 150, 2024, 2842, 4127, 4364, 5775, 6703, 8206, 887, 1886, 2783, 3932, 4364, 6088, 7028, 8261, 160, 1608, 2946, 3859, 4539, 5880, 6914, 7706, 778, 1755, 2476, 4030, 4622, 5694, 6579, 7740, 887, 2053, 2659, 3660, 4379, 6181, 7019, 8215, 104, 1773, 3006, 3276, 4444, 5763, 7004, 8236, 663, 1770, 3064, 3909, 5169, 6014, 6688, 8126, 1056, 1978, 3098, 3649, 4630, 6181, 7218, 8080, 390, 1415, 3061, 3709, 4512, 5942, 7218, 7570, 1056, 1620, 2582, 3866, 4318, 5378, 6996, 8179, 1057, 1615, 2771, 3602, 4427, 5474, 6226, 8046, 339, 2050, 2697, 3735, 4880, 5313, 7186, 8182, 1070, 1183, 2149, 3520, 4330, 5410, 6497, 7266, 868, 1346, 2785, 3741, 4597, 6145, 7071, 8253, 620, 1346, 2580, 3425, 5158, 5835, 6596, 7829, 668, 1435, 2869, 3554, 4364, 6034, 7115, 7337, 692, 1171, 2260, 3514, 5199, 5588, 6373, 7605, 620, 1732, 2625, 3356, 4728, 5825, 6581, 7587, 662, 1919, 2976, 4007, 4602, 5350, 6764, 8248, 113, 1126, 2911, 3583, 4770, 5631, 7229, 7554, 247, 1104, 3029, 3973, 4770, 5621, 6885, 8178, 774, 1397, 3091, 3446, 5047, 5952, 6715, 7743, 1041, 1171, 3091, 4034, 4850, 5498, 6453, 7873, 494, 1171, 3091, 4081, 4995, 5234, 6802, 7521, 1063, 1453, 2881, 3721, 4660, 5485, 7197, 8226, 945, 2046, 3110, 4108, 5080, 5514, 6302, 8179, 818, 1916, 2391, 3516, 4470, 5614, 6774, 7706, 818, 2017, 2391, 3516, 4287, 5968, 6852, 8267, 818, 2000, 2991, 4041, 4888, 6211, 7124, 7631, 510, 1508, 2957, 4011, 5080, 6014, 6996, 8076, 935, 2017, 2781, 4152, 4624, 5901, 6988, 8076, 293, 1817, 2865, 3755, 5115, 6208, 6443, 8208, 153, 1381, 2970, 3538, 5085, 5844, 6373, 7488, 1015, 1826, 2869, 3175, 5160, 5911, 6229, 7745, 160, 1131, 2669, 3448, 4218, 5364, 6281, 7734, 319, 2118, 2187, 3400, 4723, 6007, 6952, 7748, 319, 2118, 2757, 3770, 5138, 5408, 6409, 8037, 840, 1140, 2751, 3651, 4500, 5710, 6325, 7803, 459, 1968, 3091, 4007, 4702, 6062, 6619, 7361, 113, 2067, 3091, 3510, 4604, 6158, 7023, 7365, 820, 1139, 3091, 3463, 4585, 5563, 7222, 8201, 940, 1931, 2156, 3770, 4321, 6155, 7063, 7650, 833, 1858, 2724, 3764, 4881, 5765, 7024, 7721, 256, 1756, 2803, 3949, 4611, 5536, 7232, 8012, 654, 1826, 2542, 4071, 4638, 6048, 7188, 8261, 654, 1286, 2959, 3798, 4387, 5515, 6749, 8266, 240, 2127, 2469, 3550, 5079, 5901, 6612, 7429, 240, 2127, 2468, 3376, 5160, 5678, 6515, 7563, 240, 2106, 2454, 3277, 4888, 5830, 6444, 7753, 543, 1468, 2542, 3227, 5143, 5624, 7103, 8126, 859, 1961, 2560, 4078, 5135, 6137, 7132, 7677, 1056, 2111, 2332, 3933, 4622, 5515, 7232, 7485, 767, 1284, 3003, 3363, 4845, 5904, 7023, 7311, 840, 1834, 3119, 4057, 4184, 5414, 6910, 8129, 993, 1550, 2688, 3496, 4321, 6220, 6746, 7438, 1025, 1708, 2346, 3728, 4501, 5325, 6464, 7438, 271, 1915, 2137, 3975, 5090, 5706, 6667, 7669, 271, 1637, 2429, 3602, 4759, 5515, 6980, 7690, 887, 1682, 3118, 3656, 4219, 5978, 7049, 7597, 150, 1255, 2746, 3593, 5014, 5548, 6719, 7941, 1025, 1688, 2794, 3707, 5183, 5568, 6915, 7547, 643, 1721, 2503, 3540, 4588, 5204, 7207, 8213, 401, 1721, 2254, 4145, 5096, 5784, 6786, 8209, 308, 1620, 3007, 3226, 4630, 6211, 7168, 7806, 914, 1333, 3128, 3710, 4912, 5661, 7220, 7557, 484, 1608, 2781, 3932, 4225, 5776, 6430, 8080, 397, 1752, 3052, 3580, 4346, 5719, 7129, 7895, 183, 1992, 2998, 3251, 5138, 5650, 7220, 8052, 859, 1623, 2167, 3592, 4622, 5360, 7069, 7311, 356, 1147, 2520, 4125, 4551, 5929, 6918, 7664, 1033, 1937, 2839, 3669, 4814, 5800, 6832, 8061, 319, 1630, 2827, 3720, 4872, 5953, 6542, 8082, 428, 2009, 2625, 3720, 4729, 5828, 6873, 8020, 1041, 2009, 3013, 3720, 4567, 6180, 6820, 7962, 535, 1835, 2987, 3697, 4293, 5547, 6626, 7787, 840, 2060, 2751, 4003, 5189, 6168, 7158, 8034, 693, 1919, 2818, 3192, 4532, 5610, 6313, 8015, 113, 2099, 2952, 4167, 4239, 5943, 6244, 8207, 265, 1510, 2348, 3520, 4364, 6024, 6474, 8136, 265, 1758, 2724, 4097, 4539, 5869, 6249, 7966, 938, 1736, 2279, 3383, 4434, 5244, 6762, 8150, 1011, 1736, 2498, 3959, 4669, 5911, 6241, 7955, 1024, 1736, 2871, 3745, 4641, 5792, 6476, 7917, 1024, 1349, 2310, 3502, 5127, 5539, 6241, 8088, 913, 1931, 2432, 3892, 4804, 6024, 7109, 7842, 913, 1821, 2432, 3815, 4604, 5216, 7181, 8084, 692, 1510, 3112, 3413, 4224, 5938, 7157, 7776, 692, 1706, 2625, 3464, 4692, 5513, 6756, 8058, 938, 1289, 2156, 3842, 5069, 5811, 6734, 8195, 938, 1586, 2210, 3434, 4364, 5898, 6944, 7422, 970, 1536, 2506, 3911, 4603, 6142, 6377, 8087, 103, 1363, 3061, 3840, 4437, 6001, 6648, 8240, 779, 1147, 2315, 3391, 4630, 5678, 6918, 7971, 1097, 1508, 2806, 4108, 4287, 5767, 7100, 7918, 684, 1508, 3064, 4114, 5061, 5340, 6852, 7949, 1097, 1508, 2803, 4108, 4630, 6129, 7084, 8260, 183, 1623, 3147, 3827, 4912, 5413, 6486, 8185, 225, 1623, 2718, 4166, 4622, 5719, 6310, 8225, 183, 1623, 3021, 3417, 5083, 5372, 6443, 7509, 757, 1971, 2717, 3592, 5134, 5650, 6584, 7252, 757, 1935, 2946, 4006, 5097, 5385, 6338, 7831, 617, 1510, 2805, 3930, 4859, 5276, 6584, 8126, 859, 2106, 3139, 3761, 4836, 5901, 6688, 8093, 555, 1623, 2729, 3827, 4877, 5514, 6579, 7717, 860, 2017, 3065, 3825, 4704, 6139, 7207, 8080, 860, 1528, 2914, 3825, 4704, 5892, 7077, 7766, 142, 1528, 2806, 3803, 4583, 6081, 6794, 8223, 142, 1528, 2806, 3825, 4624, 6186, 7226, 8223, 142, 1528, 2806, 3825, 4798, 6186, 7226, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 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, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 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, 43, 14, 75, 44, 55, 5, 54, 57, 5, 30, 63, 26, 5, 67, 45, 55, 78, 5, 66, 73, 5, 65, 45, 41, 66, 5, 20, 63, 5, 51, 17, 75, 35, 5, 17, 64, 5, 5, 3, 1025, 1809, 3080, 3885, 4695, 5763, 6566, 8061, 211, 1669, 2750, 3918, 4536, 5771, 6849, 7498, 304, 1978, 3033, 3457, 5075, 5953, 7230, 8086, 859, 2000, 2989, 3671, 4541, 5953, 7220, 8179, 541, 1961, 2455, 3983, 4813, 5923, 6414, 7823, 844, 1749, 2190, 3644, 4368, 5447, 6680, 7521, 776, 1347, 2316, 3839, 4925, 5924, 7090, 7537, 165, 1171, 3116, 3326, 5194, 5404, 6716, 7904, 1100, 1938, 2149, 3332, 4752, 5339, 6623, 7519, 991, 1332, 2458, 4122, 4776, 5722, 6550, 7365, 616, 1704, 2466, 3651, 4457, 5243, 6357, 7869, 734, 1472, 2593, 3651, 4552, 5251, 7231, 7991, 774, 1455, 3029, 3356, 5179, 6176, 6625, 8182, 1011, 2059, 2282, 3548, 4341, 6119, 6876, 8061, 288, 2003, 2729, 3937, 4334, 5884, 6830, 7939, 833, 1644, 2542, 4145, 4558, 5671, 6251, 7263, 756, 1663, 2925, 3795, 5193, 6083, 7167, 7906, 1052, 1640, 2741, 3370, 4723, 5539, 6823, 7918, 569, 1958, 2261, 3762, 4321, 5324, 6995, 8099, 1040, 1640, 2329, 3642, 4716, 5512, 6970, 7904, 104, 1942, 2232, 4035, 4846, 5584, 6789, 7973, 487, 1561, 2553, 3669, 4565, 5788, 7223, 7973, 610, 1782, 3101, 4082, 4461, 5913, 6281, 7821, 887, 1831, 2783, 3201, 4440, 5765, 7168, 7676, 104, 1118, 2678, 3229, 4993, 6007, 6491, 8046, 1025, 1350, 2661, 3543, 4426, 6084, 7035, 7816, 826, 1510, 2705, 3973, 4849, 6002, 7047, 8032, 887, 2053, 2552, 4096, 4359, 5474, 7035, 7462, 104, 1858, 2261, 3634, 5169, 5360, 6286, 8210, 826, 1633, 2715, 4096, 4364, 6213, 7069, 7582, 887, 1269, 3063, 3630, 5164, 5344, 6603, 7311, 937, 1633, 2793, 3892, 4942, 5924, 7008, 7435, 778, 1932, 2865, 3991, 4697, 6002, 7056, 8126, 880, 1942, 2724, 3582, 4709, 6104, 6301, 7313, 668, 1821, 3029, 3672, 5031, 6217, 7154, 8213, 862, 2059, 2938, 3601, 4446, 5632, 6723, 7916, 880, 1326, 2766, 3960, 4807, 5640, 6883, 7966, 271, 1838, 2316, 3216, 5124, 5905, 6619, 8060, 784, 1897, 2719, 3623, 4330, 5640, 6457, 8221, 299, 1682, 2311, 3868, 4298, 5640, 7234, 7429, 150, 2033, 2207, 3623, 4390, 5547, 6684, 7375, 150, 1924, 2923, 3909, 4374, 5905, 6826, 8040, 610, 1141, 2943, 3307, 4546, 5221, 6520, 8192, 1099, 1407, 2946, 3990, 4267, 5978, 6910, 8185, 288, 1577, 2975, 3201, 5020, 6040, 6809, 7591, 308, 1508, 3006, 4108, 4890, 5832, 7239, 8266, 288, 1562, 2783, 3226, 5139, 5705, 6709, 8185, 355, 2098, 2293, 3838, 5139, 5876, 7218, 7341, 541, 1971, 3106, 3855, 5049, 6041, 7115, 7796, 373, 1689, 2905, 3755, 5127, 5308, 6286, 8228, 961, 1494, 2511, 3901, 5127, 6031, 7095, 7420, 277, 1887, 2332, 3939, 4595, 5979, 7246, 8112, 1067, 2060, 2332, 3696, 4273, 5396, 6583, 7866, 840, 1112, 2390, 3748, 4972, 5297, 6529, 8257, 536, 1865, 2261, 3840, 4248, 5254, 7181, 7694, 113, 2084, 2741, 3520, 5198, 5518, 6698, 7800, 535, 1828, 3029, 3718, 4621, 5941, 6397, 7862, 293, 1581, 3040, 3792, 4723, 5345, 7030, 7836, 293, 1635, 3040, 3518, 4462, 6118, 6227, 8248, 536, 1785, 2565, 3332, 4323, 5702, 6383, 7487, 880, 1494, 3116, 3772, 4875, 6034, 6753, 7530, 884, 1732, 2355, 3503, 4367, 6122, 6569, 7825, 1057, 1732, 2751, 3558, 4574, 5979, 6891, 8140, 1084, 1287, 2974, 3218, 4804, 6184, 6938, 8061, 678, 1995, 2818, 3770, 4334, 5796, 6871, 7677, 475, 2000, 2669, 3240, 4715, 6149, 7058, 8036, 440, 1851, 2880, 3676, 4844, 5767, 7084, 7776, 440, 1752, 2473, 3394, 5083, 5314, 7050, 7304, 440, 2111, 2818, 3204, 4952, 5438, 7157, 8193, 789, 2046, 2473, 3771, 4870, 6101, 6579, 8185, 899, 2111, 3135, 3827, 4918, 5883, 6749, 8130, 304, 1467, 2771, 3448, 5019, 5677, 6752, 8061, 247, 1821, 2332, 3301, 4971, 6111, 6560, 8038, 526, 1871, 2327, 3165, 5092, 5454, 6803, 7349, 487, 1887, 2794, 3165, 4848, 5344, 6692, 7476, 487, 1887, 2482, 4037, 4604, 5344, 6293, 8033, 986, 1250, 2311, 3434, 4688, 5441, 7044, 8033, 104, 1858, 2797, 3232, 4539, 5298, 6393, 8061, 1025, 1350, 2661, 3671, 5171, 5204, 6529, 7479, 826, 1676, 2810, 3943, 4804, 5613, 6254, 7570, 778, 1858, 2414, 3771, 4573, 5944, 7244, 8061, 887, 1993, 2552, 3917, 4469, 5652, 6830, 8078, 104, 1269, 2232, 3857, 4690, 5591, 7004, 7529, 1090, 1821, 3149, 3631, 4536, 5500, 7198, 7952, 678, 1924, 2710, 4096, 4727, 5887, 7044, 8164, 568, 1806, 2860, 4124, 4912, 5474, 6615, 7717, 225, 2002, 3101, 3662, 4780, 6146, 6607, 7660, 225, 1808, 3052, 3770, 4423, 5218, 6903, 8076, 228, 1887, 2833, 3555, 4650, 5797, 6382, 8189, 789, 1468, 3006, 3866, 4412, 6097, 7077, 8130, 105, 1452, 2858, 4113, 4387, 5705, 6879, 7887, 789, 1345, 3064, 3364, 5166, 6129, 6604, 7831, 518, 1345, 2636, 3364, 4507, 5767, 6725, 8085, 568, 1623, 3000, 3277, 5081, 5455, 6589, 7508, 153, 1561, 2986, 3955, 4748, 5311, 7229, 7932, 223, 1421, 2783, 3866, 5088, 5705, 7012, 7303, 150, 1171, 2598, 3298, 4683, 6180, 6573, 7957, 1090, 2059, 2178, 3392, 4330, 5237, 6732, 7549, 610, 1577, 2309, 3704, 4954, 5794, 6901, 7948, 831, 1827, 3053, 3391, 5138, 5561, 6254, 7604, 857, 1821, 2638, 3928, 4962, 5921, 6725, 8128, 757, 1700, 2238, 3671, 5138, 5749, 6614, 8260, 568, 1971, 2608, 3879, 4493, 6123, 6607, 7303, 421, 1286, 2542, 3798, 5160, 5257, 7127, 7260, 334, 1286, 2349, 3391, 4863, 5831, 6772, 8256, 334, 1286, 2181, 3605, 5138, 5730, 7082, 7918, 334, 1286, 3139, 4002, 5190, 5519, 6605, 8126, 118, 1112, 2491, 3641, 4916, 5413, 6909, 7936, 568, 1633, 3052, 4096, 4412, 6149, 6757, 8098, 118, 1286, 2720, 4139, 4459, 6137, 6895, 7806, 183, 1510, 2468, 3331, 4877, 5650, 7069, 7367, 617, 1958, 2287, 3803, 4881, 5689, 6878, 7706, 779, 2034, 2946, 3964, 4207, 6146, 7012, 7574, 223, 1411, 2771, 4038, 4606, 5902, 6883, 8066, 266, 1586, 2435, 3751, 4448, 5870, 7050, 7442, 936, 1379, 3126, 3165, 4574, 5745, 7129, 7633, 936, 1555, 2487, 3434, 5074, 5824, 6731, 8254, 1001, 1510, 2642, 3957, 4881, 5583, 7030, 7772, 756, 1477, 2988, 3711, 5075, 5880, 6891, 7773, 789, 1525, 2989, 3838, 5000, 5705, 7218, 7716, 901, 2030, 2818, 3707, 5112, 5466, 6839, 8060, 440, 2106, 2455, 3662, 4282, 5641, 7150, 7673, 256, 1597, 2781, 3932, 5160, 5730, 6604, 7664, 256, 1858, 2239, 4113, 4329, 5981, 6709, 7919, 256, 1750, 2593, 3771, 4549, 5438, 6277, 7913, 488, 1623, 2729, 3827, 5120, 6182, 6889, 8164, 488, 1622, 2806, 3825, 4630, 6139, 7207, 7806, 956, 1648, 3117, 3914, 5104, 6186, 6979, 8223, 356, 1851, 2709, 3188, 4423, 5413, 6830, 8083, 256, 1349, 2503, 4092, 4641, 5811, 6901, 7303, 223, 1623, 2291, 3233, 4226, 6063, 6614, 7919, 1029, 1318, 3085, 3273, 4823, 6183, 6679, 8172, 840, 1447, 2750, 3249, 4946, 5641, 6792, 7765, 1067, 1740, 3050, 3554, 4495, 5382, 7070, 7435, 235, 1823, 2667, 3727, 4345, 5805, 6521, 8156, 1081, 1248, 2459, 3656, 4253, 6205, 6998, 7827, 288, 2035, 2485, 4074, 5165, 6149, 6254, 7661, 1099, 1982, 2493, 3945, 5165, 5832, 6996, 8054, 818, 1705, 2991, 3990, 5060, 5241, 6515, 7806, 818, 2017, 2746, 4114, 4583, 6182, 7077, 8267, 186, 1622, 2806, 3645, 4798, 5630, 6688, 8267, 956, 1998, 2746, 4085, 4583, 6085, 7111, 8223, 914, 2017, 2781, 3990, 5061, 5661, 6979, 8076, 293, 1601, 2897, 3487, 4404, 5397, 6248, 7341, 579, 1299, 2792, 4106, 4284, 5200, 7184, 7804, 756, 1759, 2454, 3582, 4912, 5765, 6350, 7973, 650, 2088, 2936, 4145, 4966, 5383, 7100, 8230, 725, 1402, 2791, 3941, 4828, 5893, 6978, 7863, 212, 1687, 3037, 3741, 5123, 5961, 6706, 7453, 895, 1199, 2421, 4101, 4451, 5663, 6583, 8098, 895, 1301, 2234, 3637, 4785, 5719, 6780, 7648, 1081, 1582, 3020, 4122, 4683, 5986, 6644, 8062, 779, 1897, 2785, 3987, 4782, 5305, 7207, 8267, 959, 1581, 2936, 4145, 5166, 5979, 7109, 7260, 440, 1918, 2328, 3746, 4993, 5228, 6487, 7732, 440, 1878, 3147, 3407, 5088, 5873, 7095, 7962, 691, 1724, 2769, 3793, 4332, 5613, 6966, 7750, 271, 1635, 3089, 3216, 4548, 5500, 6958, 7296, 1008, 1494, 3092, 3304, 5111, 5554, 6887, 7858, 895, 1763, 2587, 3963, 4363, 5763, 7057, 8140, 150, 1171, 2234, 3762, 5164, 6062, 6431, 7873, 150, 1759, 2424, 3273, 4282, 5522, 6997, 7885, 150, 1759, 2424, 3278, 4669, 5703, 7227, 7535, 1057, 1759, 2400, 4160, 5164, 6078, 6744, 7535, 277, 1736, 2750, 3261, 5078, 5597, 7228, 7524, 876, 1141, 2432, 3573, 4461, 5898, 6603, 7545, 668, 1865, 2142, 3493, 4799, 5470, 6343, 7462, 1040, 1865, 2937, 3790, 4205, 6002, 6382, 7852, 459, 2039, 2751, 3306, 5030, 5441, 7021, 7504, 113, 1968, 2429, 3751, 4457, 5917, 7153, 7800, 730, 1455, 2848, 3751, 4364, 5535, 7041, 8005, 938, 1653, 2930, 4021, 4388, 6104, 6866, 7851, 844, 1653, 3094, 3949, 4541, 5444, 7169, 7477, 518, 1826, 3149, 3746, 5120, 6149, 6348, 7641, 654, 1826, 2989, 3352, 4696, 5844, 7010, 7795, 654, 2065, 2554, 3394, 4981, 5830, 6431, 8266, 654, 2059, 2754, 3394, 4549, 5761, 6757, 7574, 654, 2097, 3006, 4145, 4193, 5219, 6909, 8266, 228, 1961, 2473, 3394, 5106, 5296, 7160, 7698, 228, 1304, 2904, 3394, 4902, 6120, 6734, 8061, 228, 1826, 2221, 3648, 4344, 5767, 6757, 8130, 256, 1826, 3133, 3518, 5103, 5515, 7098, 7447, 543, 1826, 2669, 3376, 5190, 5296, 6607, 8080, 555, 2118, 3017, 3723, 5168, 5624, 7000, 7717, 488, 1528, 2554, 3595, 4890, 5241, 6338, 8126, 488, 1528, 2669, 3595, 4512, 5241, 7069, 7557, 488, 1528, 3117, 3367, 4798, 6139, 7077, 8196, 915, 2017, 2806, 3825, 4798, 5677, 6996, 7715, 915, 2017, 2914, 3893, 4387, 5241, 7077, 8196, 555, 1147, 3064, 3893, 4387, 6182, 6996, 7664, 555, 1648, 3021, 4068, 4387, 5241, 6584, 7563, 859, 2127, 2833, 3391, 4387, 6205, 7098, 7485, 859, 2127, 2970, 3914, 4890, 5811, 6810, 8083, 859, 1468, 2970, 4166, 4681, 5436, 6251, 7563, 555, 1147, 2970, 3891, 4583, 5515, 6604, 7563, 859, 2127, 3026, 3425, 5060, 5438, 6584, 8093, 859, 2127, 2806, 4068, 5079, 5219, 6604, 7865, 555, 1304, 2138, 3891, 5160, 6163, 7181, 7563, 859, 1648, 2970, 3770, 4696, 5767, 6900, 8261, 859, 2111, 2554, 3518, 4870, 5586, 7091, 7563, 859, 1684, 2554, 3596, 5007, 5981, 6717, 7602, 859, 1684, 3064, 3550, 4681, 5514, 7091, 8261, 859, 1468, 2775, 4153, 5127, 6149, 6688, 7865, 4, 2 ]

[ 1, 51, 39, 53, 5, 63, 17, 54, 44, 55, 5, 16, 28, 23, 66, 5, 31, 33, 63, 5, 52, 33, 42, 78, 5, 64, 57, 5, 41, 36, 52, 16, 64, 52, 47, 5, 16, 54, 30, 5, 66, 63, 17, 64, 66, 41, 16, 52, 47, 5, 5, 3, 797, 1648, 3021, 3825, 4704, 6211, 7077, 8147, 488, 1623, 3021, 3825, 4624, 5892, 6996, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 356, 1320, 2554, 4145, 4918, 6131, 7160, 7476, 811, 1706, 2863, 3903, 4351, 5223, 6552, 7936, 1020, 1752, 2866, 3225, 4327, 5664, 7073, 7659, 105, 1876, 3040, 3866, 4214, 6182, 7160, 7870, 731, 1206, 3116, 3417, 4179, 6084, 6965, 7537, 632, 1397, 2655, 3452, 4539, 5782, 7197, 7855, 896, 1706, 3029, 3358, 4755, 6180, 6869, 8027, 443, 2008, 3029, 3986, 4755, 5353, 6813, 7724, 443, 1550, 3029, 3551, 4258, 5353, 6547, 7772, 443, 1397, 2655, 3864, 4911, 5441, 6772, 8071, 887, 1397, 2515, 3764, 4606, 5810, 6892, 8073, 641, 1796, 2817, 3843, 4334, 5539, 6344, 7918, 424, 1931, 2868, 4096, 4379, 6146, 6734, 7664, 663, 1821, 2440, 3801, 4817, 6080, 6566, 7570, 831, 2107, 2440, 4145, 5073, 5765, 6892, 8203, 424, 1989, 2440, 3361, 4691, 5579, 7217, 7542, 663, 2001, 2924, 3233, 4533, 5761, 7120, 7574, 1090, 1248, 2396, 3732, 4834, 5890, 6603, 7568, 778, 2125, 2349, 3361, 5097, 6103, 6965, 7613, 850, 1332, 2693, 3432, 4925, 5858, 7098, 7845, 826, 1938, 2480, 4005, 5041, 5802, 6614, 7341, 895, 1185, 2938, 3263, 4359, 5574, 7046, 7852, 299, 1324, 2971, 3953, 4548, 6090, 6659, 8157, 266, 1512, 2915, 3393, 4381, 5775, 6886, 7360, 668, 1317, 2460, 3362, 4514, 5867, 6279, 7725, 668, 1547, 2782, 4036, 4635, 5438, 7220, 7800, 508, 1190, 2891, 3360, 4372, 5223, 6723, 7474, 1091, 1820, 2564, 3840, 4990, 5223, 6903, 7571, 767, 1871, 2564, 4073, 5073, 6050, 6430, 7503, 767, 1299, 2880, 3165, 4859, 5550, 6505, 8031, 992, 1881, 3097, 4124, 5084, 5931, 6302, 7636, 682, 1906, 3097, 4027, 5151, 5819, 6486, 7442, 582, 2113, 2805, 4043, 4865, 5223, 6520, 7959, 778, 1633, 2444, 3276, 5106, 5231, 6813, 7481, 731, 1751, 2530, 3500, 4374, 5364, 6884, 7537, 831, 1516, 2503, 3977, 4796, 6163, 6884, 7441, 987, 1410, 2142, 3901, 4320, 6154, 6932, 8061, 545, 1185, 2697, 3373, 4282, 5550, 6849, 7737, 856, 1938, 2680, 3674, 4825, 5836, 7087, 7956, 774, 1830, 3040, 3254, 4257, 5279, 7133, 7770, 805, 1826, 2182, 3270, 4678, 5312, 6724, 8020, 678, 2086, 3137, 3951, 4627, 5815, 7156, 7313, 308, 1698, 3128, 3918, 4617, 6108, 7162, 7906, 955, 2035, 2340, 3516, 4757, 6129, 6871, 8209, 211, 1146, 2793, 4033, 4888, 6014, 7157, 8083, 211, 1750, 2598, 4011, 4849, 6103, 6979, 7260, 684, 1963, 3135, 4151, 4912, 5378, 7149, 7893, 875, 1814, 2818, 4130, 4470, 5279, 6421, 7491, 633, 1393, 2225, 3477, 4686, 5907, 7231, 7710, 810, 1296, 2225, 3748, 4404, 6153, 6748, 7994, 819, 1707, 3040, 3321, 4990, 5205, 6965, 8039, 840, 1334, 3040, 3187, 4739, 5670, 6237, 7879, 840, 1183, 2674, 3456, 4804, 5477, 6299, 8189, 1057, 1183, 2847, 3577, 4281, 6002, 6952, 8098, 942, 1212, 2325, 3785, 5127, 6000, 6828, 7538, 1063, 1499, 2842, 3964, 4557, 6016, 6599, 7733, 610, 1499, 2899, 3366, 4314, 5551, 6771, 8006, 288, 1931, 3056, 4146, 5144, 5315, 6791, 7702, 818, 2001, 2947, 3803, 5153, 5705, 6688, 7895, 935, 2032, 3008, 3440, 4828, 6087, 6972, 7570, 935, 2017, 2781, 4011, 4822, 6025, 6988, 7591, 186, 2032, 2806, 4071, 4822, 5834, 6771, 8223, 984, 1304, 2838, 3516, 4828, 5385, 6750, 7715, 489, 1472, 3048, 3680, 5150, 5950, 7232, 7260, 304, 1139, 2352, 3420, 4611, 6001, 6612, 7876, 1023, 1421, 2436, 3394, 4449, 6017, 6716, 7445, 363, 1557, 2483, 4095, 4929, 6125, 6919, 8206, 840, 1969, 2625, 3543, 4755, 5800, 6383, 7427, 137, 2009, 2863, 3720, 4983, 6016, 6224, 7584, 723, 1935, 2316, 3928, 4321, 5953, 6442, 7800, 840, 1273, 2767, 3241, 4500, 5366, 6392, 8217, 840, 2036, 2751, 3806, 4305, 6119, 6758, 7259, 536, 1714, 2436, 4007, 4702, 6052, 6616, 7917, 492, 1608, 2290, 3717, 4449, 5341, 6528, 7491, 113, 2089, 3137, 3967, 5069, 5293, 7198, 7982, 247, 1478, 2173, 4072, 5098, 6060, 7154, 7711, 803, 1440, 2173, 3351, 5067, 5286, 6415, 7366, 150, 1740, 2173, 3192, 4277, 6118, 6331, 7815, 895, 1440, 2179, 4128, 4539, 5286, 6780, 8089, 271, 1621, 2296, 3248, 5042, 5223, 6927, 8117, 1057, 1183, 2401, 3233, 4321, 5914, 6755, 7508, 778, 1440, 2751, 3648, 5036, 5344, 6243, 7547, 299, 1596, 2751, 3991, 4371, 6065, 6798, 7529, 154, 2036, 2751, 3399, 4534, 5473, 7002, 7951, 458, 1630, 2953, 4007, 4288, 5255, 6570, 8149, 664, 1630, 2951, 3668, 4321, 5506, 6237, 7668, 994, 1915, 2239, 3329, 4280, 5815, 6252, 8129, 1019, 1282, 2689, 3329, 4612, 5208, 6560, 8048, 807, 1842, 2570, 3329, 4709, 5844, 6838, 7873, 807, 1280, 3116, 3762, 5097, 5706, 6982, 7365, 887, 1550, 3020, 3261, 4492, 5640, 6728, 7873, 684, 1620, 2946, 3955, 4539, 5898, 6918, 7755, 304, 1858, 2214, 3866, 4186, 6051, 7084, 7723, 804, 1791, 2946, 3908, 4912, 5641, 7162, 8083, 833, 1510, 2709, 3243, 4609, 6137, 7168, 7838, 617, 1534, 3021, 4124, 4993, 6149, 6775, 7557, 568, 1147, 2750, 3746, 5168, 5417, 6895, 8074, 699, 1112, 3075, 3555, 4903, 5923, 6728, 7557, 654, 1345, 2833, 3798, 4555, 5413, 6749, 8248, 654, 1750, 2904, 4145, 4870, 5787, 7207, 8130, 240, 1756, 2542, 3933, 4985, 5493, 6892, 7715, 228, 1853, 2792, 3332, 4996, 5219, 7006, 7715, 228, 1853, 2554, 4125, 5168, 6175, 6612, 8147, 256, 2002, 2683, 4071, 4387, 5385, 7087, 7563, 211, 2085, 2959, 4135, 4329, 5730, 6371, 7811, 840, 2121, 2810, 3981, 4379, 5368, 6828, 7772, 975, 1531, 3047, 3284, 4593, 5445, 7174, 7709, 668, 1503, 3073, 3787, 4504, 5851, 6812, 7471, 1008, 1912, 2691, 3678, 4910, 6138, 6825, 8262, 277, 2035, 2189, 3235, 4971, 5836, 6255, 7497, 335, 1469, 2977, 3432, 4351, 5647, 7133, 7981, 731, 1727, 2444, 3155, 5182, 5596, 7096, 7264, 401, 1848, 2925, 4034, 4942, 6025, 6633, 7311, 878, 1981, 2960, 3376, 4458, 6061, 7197, 7971, 518, 1241, 3135, 3472, 4781, 6195, 6810, 8178, 518, 1750, 3095, 3932, 5088, 5210, 6934, 8164, 256, 1289, 2293, 3376, 4918, 6085, 7239, 8164, 256, 1750, 2925, 3231, 4681, 5534, 7084, 8195, 256, 1648, 3095, 3226, 4681, 5581, 6604, 7706, 256, 2127, 2729, 3893, 4512, 5901, 7006, 7716, 256, 1750, 2340, 3391, 4888, 5296, 6671, 7715, 256, 1623, 2340, 4113, 4214, 6065, 6958, 8061, 256, 1750, 3065, 4145, 4762, 5296, 7152, 7876, 256, 2065, 2542, 4153, 4622, 5514, 6604, 8261, 256, 1648, 2473, 3866, 4344, 5901, 6671, 8150, 901, 1623, 2775, 3364, 5080, 5844, 7047, 8164, 568, 2030, 2880, 3891, 5083, 5220, 7168, 7563, 153, 1695, 3062, 3795, 4192, 5614, 6430, 7750, 335, 1732, 2352, 3487, 4228, 5493, 6888, 7831, 862, 1411, 2292, 3513, 4255, 6187, 6553, 7277, 807, 1561, 2855, 4137, 4789, 5482, 7033, 7955, 986, 2047, 3091, 3631, 5042, 5668, 7165, 8206, 864, 1561, 3075, 3601, 4427, 5836, 7033, 7291, 1080, 1806, 3053, 3957, 4873, 5664, 6422, 7477, 1080, 1794, 3091, 3464, 4345, 6213, 6270, 7852, 784, 2002, 2188, 3560, 4457, 5350, 6357, 7973, 360, 1164, 2235, 4103, 4457, 5936, 7043, 7740, 1101, 1284, 2235, 3913, 4690, 5672, 6244, 8236, 840, 1504, 2235, 3620, 5193, 5418, 6267, 7973, 271, 1566, 2740, 3611, 4191, 5889, 6612, 7358, 504, 2008, 2429, 3161, 4273, 5865, 6382, 7350, 940, 1248, 2536, 3575, 4545, 5485, 6918, 7290, 1081, 1248, 3053, 3679, 5011, 5987, 6584, 7498, 940, 1370, 2842, 4078, 4427, 5677, 6603, 7260, 1081, 1407, 2678, 3766, 5184, 6179, 6408, 7465, 1029, 1490, 2358, 4087, 5072, 5783, 7148, 8260, 150, 1388, 2724, 3795, 5022, 5383, 7095, 7771, 271, 1557, 2803, 3167, 4555, 5840, 7184, 7956, 1102, 1171, 2750, 3637, 4532, 5428, 6840, 7680, 756, 1581, 2775, 4067, 4586, 5832, 6486, 8043, 225, 1330, 2703, 3874, 4523, 5557, 6938, 7563, 225, 2060, 2156, 3768, 5048, 5550, 7000, 7549, 225, 1758, 2830, 4113, 5007, 5981, 7079, 8266, 518, 1550, 2659, 3933, 5075, 5379, 7218, 7612, 518, 2002, 3139, 3550, 4374, 5438, 7239, 8061, 240, 2073, 2340, 3420, 4297, 6110, 7041, 7717, 878, 1752, 2970, 3949, 4890, 5223, 6757, 8126, 984, 1880, 2340, 4018, 5020, 5413, 7168, 8224, 401, 1173, 3144, 3945, 4512, 5832, 6979, 8185, 895, 1812, 2137, 3877, 4374, 6201, 7004, 7480, 266, 1199, 2152, 3376, 4910, 5501, 6731, 7807, 840, 1768, 3042, 3356, 4601, 5477, 7142, 8111, 386, 1171, 3040, 4130, 4365, 6201, 6762, 7927, 725, 2047, 2798, 3511, 5034, 5656, 6567, 8075, 620, 2102, 3013, 3993, 4226, 5599, 6646, 7317, 1024, 1732, 2710, 3715, 4586, 6068, 6615, 7530, 103, 2090, 3108, 3258, 4582, 5678, 7119, 7607, 103, 2090, 2946, 3920, 4184, 6163, 7160, 7442, 103, 1711, 2655, 3425, 4859, 6006, 7230, 7677, 767, 1550, 2503, 4096, 4215, 6103, 6612, 8066, 103, 1726, 2282, 3457, 5166, 6179, 7201, 8061, 1001, 1905, 2170, 3376, 4586, 5764, 6467, 7773, 996, 1755, 2588, 4106, 4481, 5978, 6282, 7387, 774, 1281, 2282, 3349, 4454, 5766, 6982, 8039, 1041, 1812, 2282, 3240, 4421, 6083, 6961, 8098, 249, 1168, 2271, 3720, 4305, 6040, 7067, 7389, 247, 1526, 2492, 3770, 4567, 5931, 7229, 7337, 113, 1753, 2371, 3591, 4236, 6086, 6595, 8095, 1025, 1403, 2587, 3605, 4489, 5729, 6612, 7944, 424, 2033, 2994, 3918, 4900, 5558, 7168, 8195, 850, 1676, 3095, 3363, 5095, 5600, 6244, 7311, 424, 1989, 2629, 3361, 4998, 5485, 6967, 8213, 211, 1139, 3061, 3645, 5053, 5832, 6540, 8093, 1037, 1847, 2254, 3955, 4529, 5678, 7149, 7753, 1097, 2068, 2975, 4006, 4980, 6103, 6668, 8237, 940, 2063, 3006, 3932, 4433, 5573, 7237, 8236, 579, 1141, 2775, 3344, 4923, 5953, 6850, 8262, 421, 2060, 2975, 3746, 4215, 5998, 6594, 7490, 874, 2002, 2904, 3528, 4267, 5689, 7001, 7508, 541, 1141, 2473, 3687, 4879, 5581, 6965, 7574, 579, 2073, 2429, 3930, 4604, 5706, 7001, 7732, 959, 2097, 2440, 4174, 4573, 5537, 6809, 7838, 166, 1757, 2260, 3385, 4906, 5526, 6504, 8256, 249, 1865, 2279, 3629, 5091, 5915, 6850, 7367, 1066, 1352, 2979, 3169, 4418, 5765, 6614, 7904, 976, 1149, 3029, 3169, 4818, 6096, 7242, 7759, 448, 1865, 2820, 3570, 5195, 6017, 6901, 7916, 228, 2042, 2282, 4026, 4542, 5929, 6461, 7774, 699, 1826, 2250, 4124, 4360, 5840, 6552, 8266, 225, 2060, 2554, 3674, 4513, 5821, 7182, 7960, 225, 1851, 3141, 4125, 4654, 6076, 7024, 7977, 518, 1593, 2858, 3803, 4344, 5689, 6786, 7918, 899, 2061, 2252, 3470, 4993, 5210, 7003, 8061, 419, 1756, 2729, 3364, 4681, 5241, 6515, 7828, 543, 1648, 2473, 3855, 4870, 5521, 6604, 7707, 225, 2060, 2759, 3955, 5079, 6149, 6688, 8236, 256, 2106, 2564, 4071, 4870, 6110, 7077, 7717, 789, 2002, 2473, 3352, 4387, 5219, 6889, 7929, 256, 1750, 3000, 4145, 4877, 5624, 7132, 8262, 256, 1851, 3000, 3595, 4374, 6149, 7090, 7485, 789, 1345, 2946, 3518, 5138, 5719, 6979, 7509, 899, 2073, 2473, 4166, 5183, 5514, 6584, 7570, 685, 1241, 3070, 3816, 4476, 6195, 7194, 7266, 271, 1542, 2979, 3819, 4616, 5500, 6649, 8023, 736, 1167, 2766, 3446, 4539, 5745, 7101, 7638, 895, 1260, 2175, 3452, 4539, 5433, 6563, 7746, 895, 2089, 3151, 3452, 4674, 5801, 6950, 7693, 895, 1440, 2486, 3632, 4539, 5804, 7173, 7833, 1090, 1912, 2282, 3826, 4932, 5800, 6626, 8084, 1057, 1572, 2301, 4015, 5072, 5410, 6710, 7547, 831, 1388, 2282, 3536, 5098, 5512, 6684, 7472, 326, 1139, 2678, 4107, 4385, 5887, 7232, 8012, 487, 1124, 2156, 3978, 4914, 5708, 6315, 8178, 664, 1472, 2348, 4073, 4258, 5616, 6721, 7904, 137, 1397, 2302, 3913, 4364, 5588, 6914, 7592, 807, 1118, 3018, 3533, 4539, 5397, 6670, 7271, 807, 1327, 2718, 3613, 5151, 5706, 6863, 7839, 807, 1327, 3116, 3485, 5040, 5741, 7126, 7955, 807, 1635, 3116, 3507, 4395, 5827, 7215, 7542, 807, 1600, 3116, 3188, 5122, 5719, 7185, 8128, 1090, 1640, 3038, 3543, 4995, 5719, 6883, 7367, 859, 1675, 3021, 3904, 4935, 6005, 6528, 8172, 818, 1467, 3021, 4145, 5104, 5340, 7084, 7563, 488, 2041, 2806, 4145, 4287, 5241, 7152, 8237, 956, 1876, 3117, 3440, 4798, 6129, 7129, 8080, 510, 1791, 3021, 4114, 4630, 5210, 7084, 8066, 859, 1998, 2806, 3893, 4822, 6081, 6786, 7723, 859, 1304, 2970, 3391, 4267, 5651, 7077, 8267, 617, 1750, 2138, 4074, 4214, 6081, 7207, 7865, 617, 1695, 3046, 3873, 4529, 5296, 6996, 7865, 105, 2106, 2833, 3374, 5083, 6101, 6338, 8078, 617, 1332, 3064, 3391, 4555, 5385, 6810, 7476, 617, 1750, 2775, 3596, 4555, 6160, 6579, 8261, 617, 1695, 2959, 4171, 4681, 5296, 6813, 8076, 105, 2106, 2941, 3391, 4512, 6137, 6809, 7303, 859, 1695, 3144, 3595, 4555, 6101, 6895, 7291, 859, 1468, 3021, 4153, 5138, 5296, 6584, 7723, 859, 1684, 2469, 3374, 5138, 5778, 6752, 8061, 859, 2127, 2858, 3955, 4583, 5719, 6338, 8076, 552, 2127, 2138, 4083, 5138, 5296, 6584, 8223, 859, 1468, 2833, 3374, 4555, 5241, 7152, 8054, 555, 2002, 2970, 3596, 5134, 5385, 6840, 8080, 555, 2111, 2858, 3827, 4555, 5219, 6772, 7563, 552, 1490, 2709, 3687, 4512, 5811, 7069, 7303, 4, 2 ]

[ 1, 31, 33, 63, 5, 76, 35, 5, 67, 63, 48, 5, 42, 20, 63, 42, 16, 54, 78, 5, 16, 52, 26, 75, 5, 14, 66, 5, 31, 14, 66, 5, 62, 45, 63, 47, 16, 30, 3, 1036, 1278, 2292, 3245, 4539, 5324, 6244, 7741, 498, 1596, 2581, 3543, 4531, 6013, 6916, 7953, 386, 1407, 2137, 3565, 5004, 5522, 6760, 7953, 643, 2047, 2137, 3450, 4751, 5582, 6470, 7263, 504, 2035, 2981, 3962, 4542, 5710, 7069, 7260, 1035, 2033, 2408, 3371, 4588, 6175, 6309, 7502, 784, 1605, 3119, 3467, 4713, 6175, 6335, 7532, 504, 1982, 2861, 3796, 4545, 5886, 6235, 7643, 150, 2081, 3085, 3376, 4605, 6092, 6721, 7501, 574, 1877, 2137, 3468, 4588, 6215, 6358, 8121, 1023, 1199, 2446, 4047, 4228, 5321, 6501, 7358, 212, 2048, 2726, 3960, 5079, 6038, 6401, 7707, 893, 1482, 2788, 4102, 4994, 5589, 7229, 7743, 1101, 1306, 2881, 3245, 4542, 6130, 7115, 7736, 390, 2065, 2421, 3472, 4298, 5250, 6295, 7473, 518, 2030, 2792, 3706, 4762, 5288, 6871, 8169, 240, 2030, 2766, 4006, 4902, 5963, 6734, 7838, 899, 1998, 2473, 4113, 5129, 5893, 6579, 7732, 256, 2068, 2473, 3478, 4536, 5534, 7043, 8047, 518, 1847, 2729, 4137, 5052, 6131, 6889, 7717, 901, 1454, 2349, 4152, 5169, 5659, 7098, 8262, 256, 1851, 3007, 4027, 5160, 5719, 6830, 7715, 878, 2060, 3021, 4018, 4287, 5834, 6604, 7557, 256, 2106, 2730, 4113, 5166, 5219, 6612, 7718, 256, 2073, 2839, 3680, 5053, 5219, 6972, 7341, 256, 1386, 2349, 3932, 4630, 5778, 7181, 8130, 105, 2073, 2659, 3987, 4398, 5883, 6677, 8061, 955, 1398, 2936, 4068, 4560, 5863, 6607, 7732, 752, 1468, 2353, 3393, 5091, 5982, 6827, 7921, 759, 2036, 2740, 3894, 4813, 5923, 7123, 8034, 160, 1669, 2533, 4005, 4664, 5456, 6630, 8023, 569, 1286, 2747, 4055, 4354, 5893, 6417, 8248, 1066, 1499, 2901, 3566, 4816, 5543, 7088, 7735, 802, 1763, 2327, 3906, 4730, 5472, 6524, 7737, 864, 1373, 3108, 3382, 4720, 5366, 6562, 7997, 1064, 1558, 2707, 3850, 4255, 5280, 6826, 7742, 876, 1141, 2543, 4153, 5026, 5619, 6405, 7810, 480, 1510, 2552, 3233, 4354, 5827, 6730, 7907, 545, 1307, 2503, 3812, 4543, 5370, 7009, 7828, 545, 1889, 2487, 3563, 4993, 5651, 6916, 7730, 545, 1339, 2658, 3691, 4745, 5734, 7061, 7404, 986, 1339, 2492, 3417, 5110, 6179, 6567, 8150, 986, 1906, 2346, 3410, 4522, 5531, 6238, 7771, 722, 1954, 2508, 3225, 4666, 5656, 6485, 7252, 722, 1133, 2552, 3723, 4598, 5344, 6494, 7850, 722, 1550, 2587, 3771, 4934, 5477, 7065, 8249, 722, 1633, 3053, 3995, 4694, 5560, 7230, 7598, 571, 1905, 3080, 4015, 5134, 5706, 7104, 8034, 779, 1797, 2383, 4153, 5088, 5892, 6918, 8245, 308, 1698, 2946, 3671, 4387, 5883, 7120, 7838, 401, 1773, 3043, 4145, 5080, 5378, 7218, 7557, 390, 2020, 2957, 3870, 5104, 5968, 6972, 7706, 91, 1601, 2902, 3776, 4509, 5210, 6646, 7770, 942, 1986, 2163, 3975, 4489, 6082, 7205, 7739, 314, 1499, 2395, 3233, 5117, 5755, 6517, 8056, 1029, 1503, 2531, 3631, 5008, 6120, 6730, 7508, 761, 1469, 2205, 3268, 5021, 5585, 6405, 7707, 1045, 1469, 2265, 3808, 4868, 5662, 6905, 7401, 781, 1619, 2705, 3960, 5072, 5991, 6387, 8232, 864, 1205, 2509, 3325, 4257, 5788, 6848, 7843, 781, 1619, 2286, 3696, 4996, 5712, 6676, 7519, 864, 1205, 2509, 3556, 5005, 6102, 6693, 8075, 864, 1679, 2361, 3227, 4429, 5679, 6721, 8140, 864, 1156, 2890, 3596, 4373, 5523, 6921, 7748, 864, 1205, 2423, 3165, 4334, 5408, 6456, 7931, 784, 1298, 2265, 3323, 4559, 5733, 6280, 7442, 884, 1582, 3001, 3273, 4868, 6174, 6761, 7736, 761, 1199, 2876, 3922, 5162, 5640, 6941, 7875, 1033, 1708, 2491, 3961, 4454, 6144, 6439, 7702, 390, 1280, 2293, 4068, 5129, 5493, 6604, 7658, 288, 1581, 3021, 3873, 4589, 5694, 6936, 7457, 304, 1499, 2476, 4145, 5153, 5761, 6935, 7908, 585, 1233, 2387, 4124, 4900, 5565, 7177, 7994, 993, 1570, 2797, 3392, 4402, 5610, 6607, 7398, 781, 1164, 2210, 3582, 4618, 6016, 6224, 7706, 896, 1773, 3116, 4003, 4767, 6024, 6484, 7341, 784, 2099, 2731, 3566, 4404, 5584, 7091, 8069, 1101, 1349, 2732, 3497, 4338, 5597, 6897, 7626, 386, 1421, 2349, 3329, 4853, 5982, 6588, 7721, 401, 1566, 2830, 3826, 5157, 5976, 6430, 7394, 223, 1831, 2868, 4152, 4273, 6085, 6648, 8209, 1033, 1886, 2265, 3771, 4318, 6128, 6985, 7852, 223, 1886, 2740, 4096, 4861, 5677, 6393, 7907, 970, 1869, 3053, 3771, 4791, 5558, 6612, 7774, 223, 1886, 2705, 4096, 4699, 5993, 7192, 7918, 938, 1305, 2265, 3233, 4224, 5672, 6256, 8193, 970, 1682, 2454, 3601, 4936, 5500, 6321, 8036, 970, 1509, 2659, 3305, 4365, 5443, 6579, 8094, 970, 1759, 2454, 3592, 4665, 5687, 6438, 8107, 970, 1778, 2991, 4103, 4890, 6123, 7239, 7764, 160, 1280, 2559, 3680, 4981, 5948, 6958, 7764, 304, 1762, 2422, 3680, 4859, 6114, 6419, 7488, 518, 1794, 2326, 3227, 4374, 5811, 7229, 7805, 518, 1233, 2718, 3983, 4458, 6033, 7103, 8231, 195, 2061, 2783, 3993, 4586, 5760, 6849, 7906, 195, 1797, 2359, 3445, 4925, 5863, 6551, 7831, 448, 1820, 2313, 3710, 5120, 5594, 6567, 7664, 802, 1826, 2313, 4152, 4529, 5550, 7111, 8035, 893, 1346, 2762, 3511, 4620, 5730, 6797, 7667, 493, 2026, 2744, 3238, 5031, 5435, 6952, 7542, 761, 1503, 2690, 3202, 5031, 5433, 7091, 7423, 893, 1503, 3085, 3894, 5031, 5499, 6476, 7745, 1101, 1183, 2873, 3609, 4319, 5945, 6526, 7977, 814, 1183, 2502, 3563, 4321, 5660, 6833, 7688, 761, 1183, 2493, 3703, 4812, 5856, 6383, 8070, 1025, 1318, 3052, 3563, 4318, 6118, 6595, 7761, 643, 1499, 2956, 3414, 4978, 5550, 7229, 8261, 1081, 1563, 3112, 3998, 4592, 5350, 6619, 8252, 504, 1753, 2814, 3998, 4774, 5390, 6324, 8008, 643, 2050, 2258, 3998, 4255, 5938, 6383, 8026, 150, 1234, 2373, 3681, 4725, 5990, 6506, 8207, 784, 1585, 3052, 4072, 4997, 5356, 6390, 7828, 154, 1183, 2933, 3667, 4559, 5615, 6923, 7776, 884, 1183, 2191, 3421, 4409, 6098, 6583, 7827, 508, 1901, 2845, 3967, 4733, 5585, 7214, 7793, 472, 2050, 2422, 3276, 4441, 5964, 6224, 7787, 1070, 1407, 3040, 3619, 4730, 5729, 6907, 7850, 803, 2050, 3030, 3276, 4761, 5729, 6678, 7743, 803, 1679, 3040, 3747, 5031, 5819, 6661, 7487, 803, 1702, 3040, 3787, 4539, 6135, 6422, 7815, 1041, 2050, 2505, 3623, 4338, 5655, 7245, 7607, 1052, 2101, 2751, 3816, 4298, 6092, 6969, 8227, 778, 1934, 3040, 3434, 4739, 5742, 6626, 7263, 880, 1934, 2465, 4056, 4755, 6135, 6436, 8113, 730, 1697, 2798, 4009, 5031, 5794, 6611, 7956, 810, 1108, 2751, 3674, 5149, 6107, 6487, 7718, 763, 1510, 2453, 3214, 4728, 5347, 6870, 7795, 165, 1984, 2935, 3630, 4800, 5739, 7137, 7751, 693, 1570, 2755, 3924, 4206, 5782, 6443, 7698, 165, 1271, 2346, 3421, 5123, 5290, 6516, 8070, 662, 1653, 2210, 4003, 4833, 5751, 7048, 7976, 662, 1552, 2346, 3627, 4532, 6086, 6431, 7367, 662, 1742, 3116, 3218, 4985, 5746, 6477, 7548, 662, 1653, 2210, 3208, 4664, 5995, 7224, 7255, 1071, 1821, 2346, 3655, 5091, 6172, 7028, 8091, 970, 1758, 2293, 3578, 4364, 5472, 6850, 7954, 779, 1407, 2454, 3990, 4985, 5749, 6235, 7768, 959, 1508, 2936, 3937, 4896, 5963, 6607, 7764, 831, 1939, 3069, 4166, 4203, 5761, 6306, 7383, 319, 2067, 2868, 3909, 4192, 6040, 6581, 7831, 681, 1557, 2543, 4003, 5123, 5259, 7224, 8206, 954, 1510, 2836, 3795, 4800, 5983, 6466, 8117, 569, 1507, 2951, 4007, 4835, 5828, 6834, 7577, 974, 1653, 3085, 3635, 4368, 5441, 6862, 8088, 802, 1653, 3116, 3706, 4686, 5970, 7115, 7825, 956, 1998, 2729, 3891, 4619, 5981, 6515, 7641, 935, 1845, 2946, 3916, 4713, 5385, 6588, 7717, 984, 1648, 3007, 4113, 4622, 6129, 6467, 7806, 935, 1475, 3110, 4041, 4398, 6085, 7090, 7723, 935, 1851, 3144, 3891, 4630, 5968, 7111, 7715, 617, 1705, 2586, 4145, 4470, 5767, 6688, 7476, 653, 2093, 2244, 3394, 5075, 5899, 6912, 7636, 731, 1206, 2559, 3586, 4641, 5470, 6612, 7899, 189, 1592, 2951, 3487, 5153, 5610, 6334, 7857, 189, 1349, 2715, 4037, 4887, 6178, 7241, 8192, 319, 1347, 2951, 3568, 4321, 6067, 6284, 7786, 974, 1631, 2951, 3676, 4978, 6043, 6578, 8069, 247, 1653, 2823, 3592, 4539, 5871, 7048, 7262, 1052, 1560, 2951, 3421, 4363, 6074, 6648, 8224, 1071, 1684, 2951, 3390, 4625, 5547, 6514, 7689, 756, 1471, 2932, 3994, 4421, 6053, 6337, 7591, 935, 1873, 2730, 3914, 5044, 6175, 6852, 7716, 450, 2017, 3135, 3214, 4191, 5908, 6584, 7488, 488, 2032, 2746, 4041, 4870, 6195, 7149, 8267, 935, 1750, 2781, 3645, 4822, 6085, 6774, 8076, 935, 2017, 2806, 4011, 4792, 5635, 7201, 7876, 935, 2017, 2164, 3803, 4822, 6186, 7218, 7631, 186, 2017, 3065, 3825, 4888, 5901, 6996, 7766, 1099, 2017, 2838, 3367, 4888, 6186, 6794, 7876, 956, 1945, 2781, 4018, 4551, 5832, 7226, 7641, 912, 2013, 2809, 3426, 4903, 5706, 6708, 7440, 757, 1272, 2210, 3955, 4505, 5276, 6604, 7267, 757, 1857, 2944, 3657, 5139, 5219, 6566, 7838, 741, 1519, 2924, 3987, 4622, 5734, 6774, 7799, 650, 1265, 2355, 4068, 4849, 6148, 6909, 8225, 1061, 1112, 2401, 3749, 4546, 6145, 6595, 8128, 569, 1118, 2323, 3417, 4855, 6002, 7197, 7930, 807, 1459, 2156, 3455, 4800, 6117, 7222, 7442, 1080, 1782, 3048, 3613, 4509, 5880, 7083, 7393, 665, 2095, 2156, 3535, 4321, 5656, 6310, 8061, 806, 2111, 2491, 3237, 4813, 6141, 7043, 7476, 803, 1283, 2355, 3788, 4609, 5739, 6474, 7367, 1036, 2059, 3129, 3943, 4949, 5263, 7052, 7929, 806, 1758, 2593, 3660, 5134, 6217, 7033, 7452, 761, 1758, 2378, 3513, 4461, 5729, 6262, 7975, 641, 1171, 2440, 3609, 4205, 5800, 7185, 7588, 386, 1586, 2520, 4153, 4556, 6078, 7013, 7986, 1080, 1510, 2456, 3522, 4788, 6145, 6603, 8181, 569, 1942, 3068, 3434, 4691, 6163, 6702, 7911, 487, 1562, 2708, 3591, 5151, 5204, 6547, 7442, 1059, 1561, 2606, 4147, 4801, 5899, 7147, 8197, 831, 1550, 2720, 3851, 5001, 6115, 6840, 8193, 103, 1878, 2346, 3305, 4218, 5497, 6878, 7695, 844, 1118, 2144, 3941, 5138, 6002, 6883, 7774, 692, 1807, 2801, 3424, 4985, 6135, 7168, 7918, 862, 1255, 2210, 3889, 5151, 5797, 6443, 7480, 620, 1577, 2550, 3870, 4321, 6187, 6581, 8210, 1024, 1570, 2536, 3593, 5188, 5474, 6648, 8022, 487, 1323, 2741, 3225, 4282, 5334, 6670, 8139, 938, 1639, 2911, 4025, 4205, 5216, 7122, 7669, 1011, 2099, 2783, 4137, 5042, 6002, 6565, 7633, 678, 1388, 2156, 3876, 4437, 6007, 6430, 8033, 955, 2002, 2561, 3908, 4575, 5616, 6592, 7975, 684, 1399, 2806, 3982, 4512, 5767, 7162, 7870, 1056, 1945, 3098, 4011, 4592, 6051, 7058, 7908, 512, 1218, 3022, 3909, 4366, 5630, 6515, 8185, 986, 1895, 2156, 3419, 5189, 6096, 7133, 7505, 663, 1171, 2151, 3983, 4205, 6067, 7127, 7260, 390, 1992, 2895, 4074, 4555, 6086, 7135, 7918, 955, 2125, 2238, 3516, 4555, 5893, 7100, 7821, 684, 1467, 3095, 3983, 4555, 5832, 6256, 8248, 510, 1684, 2793, 3188, 5007, 6085, 6979, 8066, 1099, 1175, 2833, 4145, 4782, 5705, 6709, 8147, 818, 2046, 2925, 3893, 4782, 6085, 7006, 8147, 818, 2017, 2957, 4085, 5058, 6139, 7239, 7949, 488, 2017, 3117, 3367, 4624, 6139, 7124, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 20, 63, 5, 31, 16, 5, 43, 20, 63, 35, 5, 17, 75, 5, 31, 33, 63, 5, 62, 63, 47, 78, 36, 75, 35, 78, 5, 14, 66, 5, 31, 16, 5, 64, 26, 66, 5, 17, 75, 5, 64, 57, 5, 53, 33, 54, 47, 5, 64, 62, 33, 51, 66, 35, 78, 5, 5, 3, 488, 2032, 3143, 4171, 4888, 6211, 7239, 8054, 201, 2032, 3065, 3893, 4704, 5635, 7077, 8147, 142, 1622, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3893, 4704, 6186, 7226, 7766, 488, 1648, 3065, 3893, 4624, 6139, 6794, 8196, 731, 2094, 3070, 3678, 4387, 5893, 6810, 7764, 1009, 1180, 3003, 3500, 5199, 5872, 6373, 7666, 1009, 2026, 2705, 3466, 4457, 5948, 7174, 7304, 728, 1469, 3070, 3455, 4639, 5929, 6487, 7536, 1067, 1469, 2349, 3265, 5186, 5979, 6366, 8052, 728, 1775, 2173, 3567, 4226, 5445, 6974, 7800, 242, 2124, 2712, 3254, 4511, 5343, 7174, 7423, 938, 1469, 2948, 4087, 4791, 5496, 6529, 7530, 1011, 2066, 2472, 3790, 4910, 6070, 6774, 7686, 940, 1178, 3003, 3521, 4399, 5934, 6367, 7366, 401, 2088, 2391, 3718, 5079, 5796, 6719, 8082, 390, 2032, 3088, 4081, 4643, 6103, 6235, 7859, 304, 1407, 2971, 4087, 4387, 5694, 6850, 7603, 788, 1770, 2173, 3978, 4276, 6100, 6999, 7772, 556, 2050, 2141, 3486, 4636, 5929, 6886, 7471, 368, 1926, 2810, 3952, 4559, 5470, 6990, 7650, 531, 1912, 3107, 3686, 4742, 5205, 6857, 7891, 770, 1426, 2445, 3409, 4882, 6200, 6533, 7643, 804, 1503, 3043, 3607, 4809, 5689, 6928, 8023, 1015, 1503, 2473, 3671, 4732, 5227, 7103, 7615, 317, 1199, 3114, 3770, 4316, 5829, 6666, 7448, 878, 1503, 2860, 4149, 4566, 5410, 6396, 7776, 878, 1898, 3069, 3348, 4316, 5419, 7024, 7639, 878, 1468, 2409, 3681, 4248, 6157, 6892, 7735, 878, 1503, 2473, 3645, 5075, 5419, 6633, 8145, 1094, 1585, 2473, 3596, 4707, 5277, 6433, 7794, 1094, 1585, 2361, 3350, 4567, 5846, 6470, 8155, 1094, 1585, 2252, 3565, 5088, 6171, 7091, 8164, 731, 1370, 2409, 3515, 5120, 6157, 6796, 7828, 805, 1997, 2224, 3496, 5182, 5940, 6772, 7277, 636, 1173, 2222, 3858, 5175, 5357, 6758, 7860, 966, 2050, 2234, 3508, 5189, 5313, 6548, 7777, 472, 1183, 2544, 3249, 4570, 6030, 6509, 7745, 179, 1199, 2814, 3283, 4942, 5787, 6564, 7385, 763, 1236, 3040, 4044, 5138, 5945, 6615, 7481, 472, 1199, 2776, 3278, 4748, 6086, 6405, 7627, 558, 1301, 3090, 4095, 4553, 5980, 7109, 7265, 547, 1658, 2543, 3638, 4182, 5245, 7063, 7471, 333, 1504, 2511, 3675, 4866, 5790, 6970, 7525, 271, 1517, 2544, 3877, 4842, 6187, 6758, 7590, 271, 1517, 2393, 3202, 4701, 6135, 6594, 7706, 1016, 1494, 3069, 3713, 5127, 5745, 7035, 7572, 840, 2052, 2639, 3398, 5022, 6155, 6883, 8025, 692, 1512, 2273, 3943, 4248, 6117, 7059, 7840, 113, 1865, 2756, 3347, 5129, 5714, 7247, 7786, 531, 1865, 2242, 3756, 4518, 6118, 6362, 8016, 531, 1865, 3011, 3189, 4620, 5810, 7177, 8018, 265, 1720, 2710, 3748, 4931, 5459, 6348, 7866, 738, 1673, 2667, 3603, 4484, 5624, 6781, 7659, 494, 1798, 2667, 3714, 4343, 6039, 6525, 7726, 1030, 1178, 3132, 3222, 4797, 5313, 7033, 8178, 1063, 2060, 2532, 3233, 4285, 6086, 7140, 7884, 1041, 1660, 2460, 3273, 4520, 5713, 6263, 7785, 1063, 1742, 2580, 3452, 5110, 5205, 7002, 8130, 1030, 2114, 2708, 3994, 4284, 6060, 7184, 7586, 473, 2114, 2895, 3609, 4353, 6095, 6426, 7689, 308, 1650, 2356, 3559, 4650, 6086, 6241, 7838, 984, 1963, 2984, 4171, 4508, 6175, 6302, 8245, 935, 2032, 2984, 3914, 4822, 5219, 7217, 7641, 186, 1916, 3095, 4171, 5153, 5635, 6588, 7806, 935, 2017, 2834, 3932, 5060, 5241, 6302, 7723, 935, 2065, 2834, 4115, 4798, 5635, 6996, 8080, 552, 2065, 2880, 3932, 4867, 5493, 6810, 7715, 552, 2106, 2636, 4166, 4622, 5219, 7201, 7570, 617, 2106, 2959, 3391, 4615, 5296, 6584, 7715, 617, 1496, 2554, 3550, 5040, 6195, 7069, 8080, 552, 2106, 2251, 3595, 4512, 5296, 7100, 7303, 859, 1490, 2566, 3595, 4638, 5527, 6809, 8061, 617, 1586, 2432, 3487, 4512, 5874, 7006, 7962, 617, 1695, 2959, 3550, 5190, 5719, 6996, 7279, 617, 1108, 2529, 3891, 4387, 5689, 6333, 8030, 617, 1468, 3147, 4153, 5079, 5385, 6753, 7405, 552, 2106, 2251, 3595, 4870, 5811, 6515, 7660, 617, 1695, 2792, 4168, 4673, 5981, 6772, 8236, 552, 2106, 3143, 3425, 5127, 6149, 7091, 7732, 484, 2065, 3143, 3815, 4387, 5241, 6996, 8076, 337, 2115, 2970, 4068, 4554, 5892, 6996, 8252, 337, 1750, 2959, 4171, 5060, 5305, 6430, 8080, 142, 1622, 2806, 3825, 4704, 6186, 6794, 8223, 186, 2017, 2914, 3893, 4366, 6129, 7124, 7723, 899, 2060, 2721, 3932, 4844, 5493, 6909, 7677, 331, 1199, 3053, 3488, 4379, 5437, 6373, 8031, 636, 2026, 2411, 3656, 4820, 5600, 6663, 7873, 604, 1609, 2296, 3635, 4639, 5316, 6843, 7309, 249, 1199, 2494, 3480, 4575, 5729, 6618, 7266, 150, 1231, 2361, 3223, 4396, 5531, 6469, 7317, 1090, 1660, 3015, 3671, 4387, 5687, 6590, 7906, 390, 1791, 2895, 3793, 4573, 5256, 7152, 8132, 308, 1475, 2975, 4113, 5165, 5983, 6607, 8184, 211, 1898, 2899, 4011, 4398, 5352, 6961, 8266, 390, 1851, 2975, 3680, 4720, 6014, 6929, 7631, 756, 1850, 2429, 3443, 4533, 5416, 6520, 7411, 952, 1791, 2944, 3391, 4486, 5840, 6738, 8151, 895, 1695, 2990, 3245, 4723, 5911, 6858, 7288, 876, 1397, 2902, 3245, 4688, 5490, 6390, 7277, 635, 1283, 2271, 3634, 5148, 5899, 7135, 7709, 1019, 1397, 2591, 3864, 5100, 5387, 6911, 7725, 876, 1283, 2902, 3751, 4495, 6007, 6958, 7955, 458, 1635, 2487, 4037, 4539, 5435, 7148, 7827, 465, 1507, 2238, 4147, 5016, 5983, 6595, 8241, 888, 2008, 2572, 3743, 4636, 5745, 6841, 7403, 662, 1296, 2521, 3219, 4325, 6024, 7139, 8254, 888, 1509, 2429, 3559, 4281, 6142, 6458, 7838, 1097, 2073, 2436, 3962, 4713, 6187, 6979, 8260, 1099, 2001, 3098, 4145, 4181, 6026, 6979, 7570, 555, 2111, 2591, 4150, 4985, 6205, 6630, 7717, 935, 1845, 2783, 4108, 4870, 5832, 6589, 8237, 427, 1874, 2996, 3891, 4870, 6051, 7207, 7908, 272, 1601, 2163, 3590, 4276, 6205, 7002, 7827, 171, 1851, 3021, 3909, 5129, 5586, 6604, 8126, 537, 1388, 2669, 4092, 5194, 5425, 6732, 7778, 223, 1527, 3026, 4004, 4611, 5873, 6605, 8160, 1080, 1778, 2378, 4153, 4382, 5595, 6651, 7414, 1080, 1510, 2378, 4126, 4593, 5527, 6812, 8248, 784, 1958, 2796, 3719, 4543, 5608, 7009, 8210, 884, 1826, 2515, 3313, 4321, 5828, 6708, 7710, 927, 1826, 2422, 3925, 4709, 6039, 6890, 7612, 576, 1255, 2953, 3674, 4289, 5413, 6651, 8206, 1014, 1460, 2534, 3448, 5138, 5370, 7087, 7397, 518, 1749, 2783, 3987, 5079, 5527, 6614, 7597, 518, 1421, 2356, 4085, 4962, 5811, 6717, 8267, 518, 1756, 2783, 3866, 5007, 6215, 6715, 7962, 568, 1851, 2151, 3798, 4214, 6062, 6715, 7627, 317, 1421, 2468, 4114, 4374, 5586, 7184, 7732, 952, 1255, 2936, 3904, 4764, 6191, 6410, 7260, 492, 1708, 2629, 3882, 4804, 5220, 6917, 7379, 896, 1820, 2751, 3605, 4690, 5367, 6267, 7959, 737, 1510, 3037, 3605, 4672, 5857, 6224, 7534, 249, 1518, 2741, 3219, 5138, 6043, 6966, 7704, 492, 1302, 2349, 3810, 4855, 5940, 6883, 7662, 730, 1402, 2905, 3219, 4533, 5459, 6488, 7904, 840, 1412, 3141, 4073, 4389, 5765, 6800, 7904, 1101, 1555, 2905, 3979, 4744, 6135, 6579, 7727, 993, 1158, 2905, 3655, 4776, 5291, 7166, 7491, 1001, 1250, 2905, 3384, 5042, 5549, 6348, 7301, 424, 1545, 2675, 4153, 5127, 5555, 6860, 7436, 440, 1821, 3108, 3478, 4780, 5573, 7098, 7895, 440, 1849, 3007, 3811, 5194, 5500, 7047, 7901, 331, 2063, 2534, 4128, 4846, 6111, 6614, 8172, 1003, 1778, 2349, 3975, 4371, 5548, 6955, 7545, 113, 1477, 2905, 4094, 5073, 5751, 6267, 7472, 803, 1412, 2905, 3238, 4607, 5466, 6483, 7869, 344, 1250, 2905, 3165, 4401, 5450, 6957, 8139, 277, 1736, 2378, 3822, 4784, 5292, 6505, 8061, 895, 1477, 2905, 3687, 4879, 6056, 6563, 8193, 692, 1494, 2905, 3434, 4955, 5286, 6738, 7339, 344, 1758, 2129, 3434, 5022, 5970, 6307, 7667, 840, 1244, 2759, 3695, 4205, 6052, 6284, 7962, 404, 1354, 2389, 3605, 4392, 5589, 6906, 8088, 536, 1785, 2400, 3605, 4796, 6006, 7150, 7986, 536, 1296, 2741, 3610, 4274, 5614, 6958, 8254, 137, 2079, 2693, 3219, 5124, 5746, 7014, 7816, 988, 1507, 2693, 3605, 4363, 5614, 7057, 7888, 536, 1510, 3074, 3167, 4440, 5526, 6875, 7313, 988, 1326, 2846, 3483, 5023, 6130, 6872, 7456, 309, 1252, 2138, 3753, 4441, 5325, 6267, 8069, 576, 1826, 2258, 3917, 4777, 5408, 6986, 8240, 317, 2107, 2335, 3603, 4329, 5515, 7201, 7660, 576, 1472, 2338, 3623, 4953, 6114, 6757, 7613, 952, 1139, 2137, 4111, 4949, 5613, 6889, 8033, 1057, 1609, 2436, 3309, 5101, 6092, 6333, 7531, 895, 1510, 3116, 3221, 4841, 5615, 6433, 7519, 1067, 1510, 2774, 3779, 4495, 6155, 6815, 8130, 1084, 1919, 2669, 3839, 4218, 5400, 7188, 7962, 776, 1140, 3051, 3813, 4220, 6043, 7097, 8105, 482, 1171, 2661, 3462, 4218, 5810, 6505, 7505, 956, 2000, 3038, 3803, 4912, 6025, 6850, 7825, 818, 1992, 2947, 3866, 4856, 5590, 6776, 8076, 935, 1992, 2834, 4108, 5104, 6085, 7006, 7908, 186, 2017, 2914, 3516, 4630, 6139, 7132, 8147, 899, 1851, 2833, 3188, 5104, 5767, 6671, 7476, 440, 2106, 2391, 4026, 4529, 5413, 6810, 8045, 756, 1349, 3141, 3649, 4513, 6051, 6709, 7939, 685, 1759, 2652, 3595, 4746, 5243, 6573, 8215, 692, 1234, 2178, 3635, 4966, 5413, 6692, 7826, 840, 2118, 3033, 3399, 4609, 6169, 7224, 7709, 613, 1700, 2156, 3266, 4191, 5608, 6515, 7732, 654, 1773, 2181, 3407, 4586, 5954, 7095, 8117, 654, 1525, 2156, 3914, 4486, 6179, 6892, 7477, 654, 2030, 2609, 3276, 5113, 5581, 6918, 7677, 518, 1756, 2278, 3550, 4512, 6175, 6889, 7707, 654, 1750, 3000, 4174, 5061, 5705, 7239, 7677, 654, 2097, 2833, 3518, 4859, 6034, 6607, 7664, 654, 2017, 2554, 3440, 4351, 6117, 6584, 7838, 518, 1756, 3064, 3376, 4541, 6118, 6607, 8132, 654, 2106, 2473, 3394, 5159, 5218, 6443, 8164, 240, 1304, 2626, 4111, 5138, 5580, 7100, 7401, 518, 1851, 2316, 4166, 5079, 5218, 7160, 7717, 518, 1851, 2316, 4113, 4549, 5436, 7069, 7732, 518, 2065, 2904, 4093, 5079, 5942, 7160, 7753, 1015, 1705, 2629, 3162, 5079, 6110, 6749, 7557, 262, 1668, 2771, 4125, 4924, 5504, 6750, 7498, 492, 2088, 2224, 3770, 4599, 6052, 6581, 7710, 536, 1983, 3005, 3222, 4929, 5849, 6857, 7921, 840, 1490, 2676, 3599, 4286, 6178, 6619, 8155, 1040, 1672, 2751, 3865, 4755, 5535, 6282, 7289, 1040, 1459, 3091, 4007, 4946, 6111, 7188, 8127, 1062, 1422, 3091, 4079, 4349, 5675, 7048, 7448, 103, 1146, 2210, 3517, 4709, 5449, 6244, 7869, 938, 1397, 2872, 3268, 4288, 5818, 6829, 7503, 103, 1577, 2669, 3819, 4925, 6084, 6224, 7808, 103, 1275, 2818, 3602, 4762, 5673, 6612, 7831, 684, 1623, 3150, 3316, 4872, 5924, 7149, 7948, 709, 1508, 3095, 4005, 5061, 6001, 7207, 8080, 779, 1540, 2839, 3478, 5183, 5219, 6410, 7865, 397, 1676, 2974, 3851, 4387, 5514, 6984, 7919, 840, 1282, 2271, 4161, 4995, 5365, 6550, 7549, 994, 2036, 2841, 3812, 4617, 6073, 7119, 8149, 974, 1966, 2987, 3802, 4832, 5251, 6925, 7739, 678, 1455, 2436, 3478, 5129, 6058, 6627, 7831, 405, 1560, 2868, 4097, 4782, 5942, 6774, 7716, 789, 1851, 3046, 3204, 5006, 5586, 6852, 7528, 518, 1534, 3098, 3879, 5073, 5901, 6830, 7716, 874, 1596, 2886, 3605, 4259, 5555, 6772, 7582, 225, 1490, 2473, 3391, 4536, 5719, 6604, 8030, 225, 1949, 2791, 3967, 4743, 5730, 6605, 8260, 225, 1424, 2858, 3423, 4350, 5253, 7232, 7693, 518, 1749, 3028, 3933, 4859, 5749, 6840, 7816, 225, 1424, 3021, 4113, 4459, 5515, 6612, 7707, 225, 1801, 3021, 4125, 4795, 5837, 7129, 7312, 617, 2002, 2791, 4078, 4555, 5778, 6579, 8261, 955, 1827, 2359, 4092, 4214, 5504, 7160, 8114, 360, 1865, 2629, 4012, 5122, 5354, 6973, 7248, 249, 1865, 2726, 4004, 5100, 5347, 6569, 7873, 993, 2050, 2623, 3855, 4686, 6038, 7135, 8171, 993, 2035, 2165, 3975, 5175, 5755, 6663, 7309, 1025, 2070, 2923, 4100, 4189, 6044, 6373, 8208, 424, 1978, 2139, 3410, 5072, 5245, 6668, 7815, 850, 1797, 3080, 3537, 4985, 6130, 7157, 8083, 778, 1141, 2515, 3316, 4321, 6147, 7157, 8183, 104, 1388, 2282, 3487, 4993, 5737, 7004, 7987, 862, 1604, 2436, 3616, 4292, 5982, 6579, 8259, 535, 1510, 3029, 3321, 4205, 5771, 7198, 7724, 465, 1397, 2701, 3446, 5115, 6176, 6623, 8019, 887, 1831, 2764, 3233, 4510, 5810, 6402, 7555, 104, 1717, 3033, 4096, 5145, 5903, 6614, 7965, 465, 2033, 2432, 3193, 4941, 5616, 7168, 7673, 465, 1782, 2783, 3752, 4693, 6118, 6269, 7721, 487, 1771, 2678, 3276, 4725, 6154, 6338, 7442, 487, 1331, 2677, 4130, 5120, 6052, 6565, 7261, 1025, 1141, 3126, 3886, 4642, 5752, 6663, 7527, 256, 1809, 2432, 3807, 4592, 6002, 6615, 8118, 228, 1460, 2432, 4135, 4644, 5436, 6892, 7563, 654, 2001, 2833, 3239, 4985, 5705, 6909, 7509, 654, 2061, 2729, 3751, 4849, 6149, 7006, 8128, 228, 1851, 2473, 3838, 4870, 5749, 7103, 7753, 518, 1756, 2833, 3803, 5167, 5413, 6668, 8118, 427, 2025, 2519, 3732, 4611, 6182, 6605, 8016, 488, 1622, 2806, 3803, 4877, 5795, 7218, 7716, 818, 1620, 2669, 3407, 4512, 6129, 6889, 7876, 915, 1945, 2914, 4071, 4822, 5677, 6794, 8164, 707, 1910, 2899, 3895, 4347, 5344, 6776, 7873, 731, 1490, 2678, 3543, 4872, 5639, 6740, 8132, 1023, 1278, 2344, 3448, 4282, 6135, 6328, 8049, 897, 1283, 2866, 3222, 4648, 6119, 6631, 8061, 897, 1286, 2731, 3443, 5111, 5510, 6708, 7656, 952, 1942, 2729, 3502, 4631, 6135, 7002, 7869, 914, 1164, 2866, 3961, 5096, 5527, 7043, 7948, 186, 1992, 3110, 3827, 5153, 5767, 6776, 7870, 935, 1635, 3109, 3827, 5166, 6007, 7006, 8076, 1099, 1623, 3110, 3827, 4888, 6103, 7023, 7557, 859, 1847, 2944, 4041, 5165, 5767, 7090, 7658, 935, 1845, 3064, 4018, 5061, 6025, 7132, 8185, 935, 2017, 2914, 3440, 4798, 6129, 6794, 7887, 859, 1791, 2946, 4124, 4630, 6025, 7201, 7732, 489, 1510, 2839, 3391, 4225, 5314, 6670, 7918, 617, 1112, 2424, 3891, 4536, 6149, 6820, 7906, 859, 1961, 2775, 3771, 4583, 5963, 6566, 7631, 955, 1330, 2792, 3891, 4278, 5344, 6551, 8029, 1033, 1171, 2903, 3413, 4638, 5413, 6410, 7816, 840, 2011, 2142, 3848, 4804, 5367, 6281, 8049, 840, 1354, 2716, 4073, 4804, 6142, 6251, 7262, 459, 1239, 2349, 3699, 5180, 5341, 6319, 8170, 113, 1758, 2142, 4167, 5107, 5466, 6950, 7592, 1057, 1354, 2348, 3158, 4254, 5428, 6893, 8244, 895, 1828, 2891, 3880, 4745, 5960, 6582, 7638, 665, 1326, 2401, 3459, 5101, 6170, 7154, 7384, 692, 1326, 2331, 3385, 5050, 5512, 6901, 8018, 113, 1139, 2142, 3511, 4214, 5978, 6818, 8212, 1080, 1884, 2349, 3521, 4364, 6164, 6500, 7615, 668, 1884, 3074, 3714, 4791, 6178, 7129, 8193, 692, 1906, 3074, 3741, 5050, 5444, 6254, 7437, 691, 1139, 3074, 4082, 4881, 5202, 6948, 8169, 516, 1628, 2171, 4103, 4711, 5870, 7229, 7858, 654, 1529, 2614, 4125, 4307, 5918, 6437, 7384, 518, 1556, 2359, 3961, 5151, 5765, 6465, 7962, 127, 1826, 2717, 3595, 4423, 5722, 6752, 7660, 127, 2118, 3021, 3914, 5104, 5890, 7012, 8252, 518, 1923, 2529, 3376, 4800, 6085, 6918, 7563, 228, 2061, 2729, 3552, 4398, 5809, 7201, 7887, 475, 1623, 3006, 3251, 5160, 6110, 6809, 7563, 818, 1622, 2944, 3595, 4862, 6149, 6889, 7838, 818, 1851, 2729, 3291, 5138, 6139, 6909, 8147, 818, 2017, 3117, 3367, 4555, 6110, 6996, 8237, 915, 2017, 2806, 3893, 4798, 5241, 6752, 8223, 555, 1648, 2970, 3827, 5038, 6103, 7120, 7664, 555, 1684, 2970, 3914, 4681, 6163, 6752, 8223, 859, 1695, 2340, 4071, 5060, 5672, 6604, 7919, 555, 2111, 3147, 4068, 4681, 5677, 7098, 8076, 859, 2111, 2970, 4166, 4583, 5550, 6251, 8132, 555, 2111, 2970, 3374, 4681, 5963, 6996, 7664, 555, 2111, 3117, 3680, 4512, 5767, 6988, 8093, 552, 1750, 2970, 3391, 4681, 5840, 6584, 8126, 555, 2111, 2970, 3680, 4615, 5811, 7124, 7865, 555, 2111, 2970, 3891, 4681, 5635, 7098, 8236, 4, 2 ]

[ 1, 45, 66, 5, 53, 33, 54, 66, 5, 42, 69, 30, 5, 64, 62, 20, 63, 66, 5, 16, 54, 30, 5, 64, 14, 66, 16, 64, 41, 27, 30, 5, 31, 33, 63, 5, 42, 33, 64, 66, 64, 3, 488, 1147, 2970, 3391, 4622, 6211, 6752, 8147, 915, 1876, 3117, 3914, 5159, 5963, 7129, 7732, 142, 1528, 2806, 3825, 4704, 5241, 7077, 8223, 488, 1622, 3065, 3825, 5104, 6139, 7226, 8196, 789, 1791, 2941, 4006, 5120, 5832, 6604, 7887, 922, 1164, 2658, 3500, 5111, 5745, 6986, 7648, 559, 1164, 2934, 3764, 4636, 5889, 6461, 7453, 896, 1706, 3116, 3358, 4953, 5785, 6872, 8168, 920, 1397, 2701, 3425, 4545, 6077, 7115, 7478, 405, 1752, 2154, 3455, 5135, 5432, 6256, 7689, 804, 1881, 3022, 3516, 5106, 6084, 7220, 7870, 1099, 1998, 3021, 3391, 4822, 5981, 6677, 7421, 308, 1692, 2803, 3920, 5053, 5761, 6349, 8132, 859, 1924, 3098, 4114, 4888, 5684, 7129, 7838, 779, 1545, 3128, 4145, 5165, 5883, 7120, 7918, 859, 2073, 2771, 3949, 5009, 5534, 7120, 8164, 216, 1255, 2936, 3826, 5125, 5705, 7120, 7641, 752, 1688, 3064, 3229, 5061, 6195, 6871, 8195, 1033, 1626, 2767, 3305, 4988, 5534, 7212, 7437, 299, 1141, 2506, 3669, 4995, 5300, 6599, 7796, 723, 1771, 2506, 4138, 4191, 5458, 6433, 7587, 535, 1283, 3097, 3759, 4708, 5934, 6224, 7931, 399, 1938, 2165, 3239, 4708, 6172, 6224, 8160, 884, 1526, 3097, 3443, 5031, 5759, 6838, 7687, 884, 1695, 3074, 3492, 4321, 5880, 6564, 7727, 884, 2061, 2401, 3755, 4455, 5734, 6611, 8031, 1025, 1695, 2282, 3329, 5042, 6165, 6581, 7462, 401, 1881, 2871, 3822, 5091, 5408, 6700, 7266, 887, 1932, 2134, 3410, 5042, 5204, 7052, 8164, 1090, 1146, 2926, 3233, 4565, 6103, 6810, 7421, 684, 1175, 2943, 4145, 5058, 5752, 6646, 8179, 1097, 1992, 2925, 4145, 5104, 6051, 6752, 8066, 874, 1905, 2544, 4110, 4326, 5810, 6702, 7635, 518, 2083, 2696, 3749, 5048, 6034, 7132, 7962, 617, 1756, 2487, 3623, 5048, 5865, 6972, 7687, 1099, 1620, 2833, 3595, 4859, 5493, 6717, 8261, 818, 2017, 2833, 3908, 4387, 5210, 6996, 8261, 818, 1998, 2806, 3982, 5166, 6081, 6612, 8185, 818, 2017, 3110, 3710, 4624, 6085, 7201, 8260, 818, 1791, 3135, 3825, 5080, 6139, 7006, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7201, 8147, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 3065, 3825, 4624, 6139, 7226, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6081, 7124, 8223, 304, 1540, 3043, 4108, 4366, 5635, 7006, 7723, 223, 2079, 2809, 3991, 4179, 5761, 6551, 7508, 390, 1577, 3008, 3983, 5144, 5811, 6809, 7948, 1071, 1106, 2394, 4151, 4285, 5254, 7094, 7840, 104, 1585, 3005, 4149, 4588, 5866, 6348, 7767, 104, 1554, 3080, 3915, 4350, 5841, 6648, 8214, 314, 1305, 2137, 3182, 4350, 5905, 6536, 8188, 781, 1199, 2497, 3464, 4664, 5269, 7143, 7471, 862, 1509, 2137, 3474, 4830, 6067, 7053, 7894, 620, 1828, 2481, 3704, 4417, 5859, 7175, 7563, 537, 1826, 2533, 3776, 4811, 5538, 6237, 7973, 512, 1280, 3098, 3540, 5052, 6205, 6668, 7421, 804, 1915, 2754, 3188, 4980, 6085, 6786, 7723, 804, 1562, 3022, 4068, 4782, 5832, 6786, 8076, 390, 1750, 3064, 4170, 5061, 6085, 7084, 7766, 105, 1931, 3064, 3885, 4583, 5294, 6713, 7547, 518, 1440, 2355, 3916, 5079, 6205, 6584, 7538, 654, 1426, 2775, 3597, 4459, 5419, 6612, 7494, 654, 1525, 2833, 3391, 4535, 5324, 6443, 7810, 225, 1597, 2792, 4078, 4549, 5796, 6630, 7831, 225, 1597, 2287, 3407, 4890, 5865, 6895, 7664, 228, 2002, 2473, 4125, 4287, 5385, 6607, 8179, 552, 1468, 2959, 3563, 5120, 5413, 6540, 7732, 860, 1528, 3062, 3803, 4555, 5515, 6607, 8147, 488, 2078, 2941, 3595, 4624, 6139, 6996, 8196, 915, 2017, 3065, 3825, 4704, 6186, 7077, 8223, 915, 1622, 2806, 3825, 4798, 5892, 6612, 8147, 915, 1622, 3065, 4174, 4704, 6081, 7077, 8223, 915, 1528, 2991, 3825, 4798, 5832, 7077, 8223, 759, 2025, 2934, 3161, 4305, 5216, 6415, 7732, 386, 1318, 2882, 3254, 4337, 5391, 6832, 7312, 784, 1693, 2636, 3531, 5114, 6086, 6237, 8159, 917, 2081, 2636, 4130, 4689, 6030, 6944, 8251, 784, 1950, 2951, 3780, 4736, 5220, 7054, 7423, 266, 2026, 2135, 3843, 4637, 5884, 6901, 7626, 150, 1548, 2286, 3520, 4621, 5572, 6858, 7791, 784, 1950, 3003, 3856, 5198, 5421, 6810, 7650, 1067, 1316, 2724, 3750, 4468, 5205, 7126, 7491, 873, 2070, 2766, 3446, 5022, 5858, 6536, 7262, 271, 1674, 2774, 3883, 4214, 6005, 7049, 8215, 296, 1685, 2850, 3383, 4999, 5426, 6764, 7815, 693, 1512, 2349, 4079, 4527, 5951, 6540, 8129, 91, 1282, 2905, 3475, 4258, 5465, 6956, 7367, 427, 1953, 2656, 4101, 4900, 5778, 7132, 7810, 1099, 1845, 2947, 3803, 4782, 5705, 6630, 7641, 105, 1345, 2925, 3917, 4276, 6160, 6776, 7476, 183, 1806, 2654, 3994, 5088, 5687, 6528, 7279, 555, 1623, 2746, 3951, 4985, 5493, 7091, 7336, 488, 1620, 2730, 3803, 5129, 6139, 7207, 7948, 818, 2017, 2989, 3440, 4888, 6205, 6668, 8267, 818, 2017, 2746, 4071, 4798, 5241, 6979, 7631, 818, 2017, 2914, 3188, 4624, 6081, 7124, 7806, 818, 2017, 2164, 3893, 4888, 6081, 6794, 7876, 818, 1648, 2914, 3825, 4624, 6186, 7226, 7766, 555, 1468, 3021, 3825, 4870, 5550, 7077, 7717, 555, 1468, 2970, 3827, 4622, 5550, 6996, 7485, 859, 1750, 3021, 3391, 4512, 5550, 7124, 7664, 555, 1468, 3021, 3374, 4870, 5981, 7124, 8126, 555, 1648, 2858, 3891, 4681, 5678, 7077, 8196, 859, 1750, 2858, 3827, 5159, 6182, 6772, 7664, 555, 1147, 2858, 4166, 4387, 5515, 7077, 7664, 915, 1147, 2858, 3914, 4624, 6081, 7124, 8237, 915, 1528, 3021, 3374, 4512, 6139, 7129, 7485, 488, 1622, 3065, 3825, 4681, 6139, 6677, 7485, 142, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 142, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 789, 1750, 2970, 3893, 4555, 6182, 6752, 7766, 448, 1653, 2594, 3831, 4387, 5381, 6717, 7402, 734, 1653, 3029, 3567, 4833, 5223, 6382, 8046, 810, 1397, 3003, 3520, 4896, 5656, 6606, 8168, 668, 1653, 2748, 4076, 4999, 5594, 6969, 7669, 692, 1706, 2751, 3266, 4564, 6077, 6970, 8226, 211, 1139, 2515, 4146, 5053, 6024, 6578, 7811, 424, 1978, 3101, 3630, 4813, 5863, 6842, 7687, 390, 1175, 3080, 3877, 4385, 5388, 6265, 8213, 980, 1562, 2326, 4145, 4282, 5436, 6884, 7846, 1056, 1963, 3007, 3271, 4592, 5678, 6254, 7262, 709, 1847, 3098, 4145, 5096, 6051, 7230, 7806, 240, 1961, 3133, 3162, 5080, 5616, 7160, 7707, 654, 1623, 3147, 3277, 4877, 6108, 6607, 7913, 518, 2127, 2332, 3595, 5127, 6046, 6671, 7791, 228, 1112, 2469, 3586, 4737, 5844, 6466, 7677, 654, 1695, 2469, 4026, 4398, 5942, 7182, 7717, 228, 2034, 2473, 3798, 4916, 6175, 7160, 8034, 183, 2061, 2669, 4006, 4398, 6175, 6607, 7397, 552, 1248, 2792, 3391, 5135, 5436, 6859, 7957, 1033, 1347, 2641, 3413, 5157, 5325, 6249, 7777, 775, 2069, 2271, 3417, 4788, 5317, 6299, 8160, 943, 1742, 2271, 4138, 4356, 5719, 6680, 7962, 897, 2051, 2751, 3313, 5027, 5553, 6656, 7759, 492, 1349, 2580, 3401, 4664, 5640, 7005, 7528, 247, 1349, 2316, 3813, 4661, 5952, 6828, 8254, 895, 2034, 3116, 3313, 4856, 6022, 6325, 7767, 844, 1349, 2378, 4058, 4807, 5205, 6925, 8117, 424, 1496, 3109, 4095, 4635, 6111, 6965, 7312, 952, 1850, 2455, 4003, 4179, 6111, 7096, 8070, 952, 1821, 2239, 3616, 5143, 5313, 6702, 8069, 410, 2048, 2401, 3533, 5050, 5616, 6749, 7791, 137, 1771, 2312, 3261, 4999, 6007, 6783, 7904, 876, 1938, 3101, 3894, 4421, 5648, 6735, 7394, 271, 2118, 2728, 3922, 4457, 5800, 6760, 7976, 317, 1485, 2596, 3762, 4875, 5795, 7035, 7366, 228, 1171, 2383, 3879, 4877, 6002, 7199, 7677, 225, 1853, 2156, 3799, 4701, 5580, 6777, 7397, 654, 2030, 2554, 3674, 4344, 5749, 6677, 8132, 225, 2058, 2473, 3788, 4916, 5456, 6607, 7939, 518, 1468, 3026, 3487, 4412, 5749, 6657, 7865, 757, 1496, 2356, 3359, 4682, 6189, 6671, 8130, 789, 2065, 2468, 4011, 4681, 5844, 6717, 7477, 475, 1528, 2473, 4174, 4549, 6222, 6901, 7421, 571, 1399, 3135, 4108, 5058, 5220, 7164, 7865, 1067, 2020, 2372, 4098, 5011, 5321, 6608, 7644, 472, 1594, 2137, 3576, 4477, 5640, 7194, 7525, 360, 1679, 2491, 3392, 4232, 5768, 6267, 8117, 966, 1499, 3002, 3421, 5171, 5518, 6398, 7882, 404, 1975, 2751, 3865, 5158, 5295, 6680, 7636, 492, 1826, 2232, 3214, 4218, 5784, 6672, 8140, 247, 1735, 2322, 3623, 4714, 5224, 6781, 8254, 1040, 1735, 2307, 3605, 4388, 5872, 6293, 7510, 894, 1510, 2143, 3313, 4732, 5480, 7021, 8212, 884, 1732, 2987, 3224, 4205, 5325, 6441, 8206, 487, 2055, 2882, 3741, 5122, 5783, 6883, 7985, 778, 2036, 2448, 3254, 5124, 5279, 6540, 8061, 980, 1995, 2788, 3340, 4448, 5221, 6338, 7387, 211, 1463, 3109, 4074, 4717, 5678, 6584, 8041, 390, 2063, 2167, 3788, 4551, 5678, 7058, 7677, 857, 1747, 2944, 4033, 5058, 6204, 6630, 7275, 756, 1171, 2895, 3315, 4916, 5767, 7058, 8070, 613, 1557, 2783, 3964, 4929, 5331, 6814, 7868, 459, 1541, 2980, 4074, 4340, 5381, 6881, 7744, 1019, 1942, 2487, 3524, 4180, 5335, 6663, 8128, 664, 1695, 2893, 3936, 4565, 5721, 7043, 8240, 1019, 1990, 2487, 3433, 4539, 6187, 6885, 7318, 664, 1915, 2751, 3341, 4598, 5810, 6535, 8148, 876, 1906, 2751, 3337, 5052, 5547, 7043, 7288, 1019, 1773, 2487, 3259, 4949, 5934, 7122, 7435, 774, 1369, 2487, 3605, 4881, 5379, 7002, 8095, 730, 1472, 2470, 3751, 4459, 5778, 6466, 8005, 807, 1832, 2316, 3342, 4852, 5810, 6344, 7955, 391, 1806, 2736, 3387, 4770, 5370, 6799, 7898, 980, 1806, 2932, 4067, 5019, 6080, 6740, 8079, 684, 1275, 2783, 3710, 4530, 5705, 6713, 7279, 390, 1705, 3064, 3982, 4533, 5767, 7010, 8147, 980, 2090, 3095, 3361, 4215, 6205, 7058, 8179, 1037, 2063, 2925, 4108, 4925, 6131, 6752, 8076, 308, 1218, 3095, 3540, 4980, 6085, 6752, 7949, 682, 1910, 2994, 3485, 4993, 5875, 6877, 8050, 778, 1550, 3053, 3913, 4929, 6199, 6893, 7586, 1040, 1842, 2826, 3741, 4205, 5776, 6622, 8128, 1040, 1283, 2458, 3265, 4195, 6101, 6940, 8039, 1041, 2036, 2175, 3434, 4804, 5796, 7140, 8103, 326, 1751, 3074, 3761, 4663, 6191, 7116, 7678, 881, 1938, 2581, 3424, 4206, 6135, 6910, 7568, 844, 1349, 3074, 3449, 4664, 6126, 6944, 8117, 844, 1881, 2751, 3592, 4205, 5648, 7095, 8161, 776, 1636, 2316, 3751, 4536, 5574, 6509, 7650, 715, 1471, 2718, 3732, 5188, 5396, 6254, 8181, 617, 1182, 2542, 3662, 4321, 5825, 6717, 8120, 225, 1471, 3147, 3746, 4412, 5250, 6591, 7402, 225, 1570, 2468, 3518, 5007, 5678, 7069, 8017, 228, 1853, 2181, 3586, 4535, 5308, 6648, 7592, 240, 1853, 3109, 3599, 5083, 5908, 7103, 8061, 240, 1585, 2316, 3803, 4622, 5901, 6604, 8126, 228, 1140, 2880, 3966, 4836, 6149, 7129, 7865, 240, 1750, 2560, 3391, 5083, 6110, 6996, 7485, 789, 1756, 2880, 4174, 4877, 5635, 7124, 8130, 789, 1750, 3133, 4174, 4398, 6110, 6589, 8076, 789, 1756, 2880, 3803, 4583, 5635, 6604, 8130, 789, 1756, 2880, 3893, 4398, 5635, 6677, 8080, 240, 1756, 2554, 4026, 4704, 5548, 7103, 7716, 228, 1750, 2335, 4092, 4387, 6149, 7069, 7865, 228, 1851, 2137, 4006, 4412, 5767, 6988, 7664, 228, 1452, 3133, 3827, 5159, 5892, 6889, 7865, 518, 2127, 2554, 3550, 5135, 6137, 6701, 8236, 228, 2111, 2359, 4096, 4715, 5550, 6579, 7657, 518, 1684, 2542, 3227, 5159, 5963, 6996, 8130, 228, 1750, 2669, 3227, 4916, 5548, 7219, 8130, 228, 2106, 2473, 3586, 4870, 5901, 7232, 8076, 105, 1961, 2542, 3586, 4344, 5942, 6671, 8076, 419, 1468, 3133, 3376, 5166, 5514, 6668, 8076, 488, 2017, 2554, 3595, 4704, 5705, 6889, 7557, 488, 1622, 2806, 3893, 4704, 5892, 6889, 8196, 488, 1528, 3117, 3595, 4398, 5612, 6996, 8147, 488, 1528, 3117, 3367, 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, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8196, 4, 2 ]

[ 1, 31, 16, 5, 76, 17, 54, 30, 35, 5, 17, 75, 5, 31, 16, 5, 76, 26, 66, 5, 76, 36, 52, 30, 5, 51, 11, 66, 5, 43, 45, 53, 5, 16, 76, 39, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 7766, 488, 1648, 2914, 3825, 4624, 5635, 7124, 7949, 818, 1528, 2991, 4170, 4624, 6211, 6972, 8185, 1088, 1233, 2957, 4026, 4374, 5536, 7129, 7687, 825, 1579, 2365, 3356, 4930, 6144, 6876, 7772, 897, 1542, 2455, 3394, 5110, 5437, 6331, 7917, 344, 1341, 2373, 3394, 5008, 5384, 6574, 7590, 614, 2050, 3061, 3535, 4285, 6098, 6676, 7880, 610, 2095, 2641, 4074, 5079, 5837, 6929, 7814, 1090, 1897, 2584, 3895, 5041, 6011, 7230, 7749, 390, 1881, 2834, 3488, 5079, 5473, 7103, 7947, 308, 1620, 2975, 4071, 5080, 6205, 7162, 7906, 1051, 1540, 3007, 3747, 4179, 5403, 6809, 8179, 804, 1675, 2508, 3645, 4849, 5543, 7058, 7421, 211, 1750, 2838, 3188, 5038, 5883, 7077, 8267, 304, 1534, 3098, 3226, 4867, 6146, 6852, 7631, 390, 1791, 2586, 4115, 4630, 6085, 6979, 7631, 1056, 1675, 2326, 3866, 4573, 6014, 7218, 7591, 401, 2049, 2294, 3512, 4925, 6103, 6761, 8188, 1067, 1468, 2314, 3757, 5176, 5463, 6679, 7521, 692, 1469, 2831, 3737, 4543, 5619, 6913, 7672, 829, 1199, 2393, 3561, 4933, 5588, 6667, 7983, 556, 1840, 2680, 3300, 4635, 6010, 7080, 8109, 1006, 1338, 2824, 3300, 4423, 5617, 6409, 7938, 1006, 1299, 2240, 3248, 4678, 5786, 6502, 7475, 639, 1988, 2301, 3502, 4447, 5410, 6606, 7984, 391, 1838, 2994, 3687, 4369, 6130, 7114, 7827, 391, 1141, 2232, 3803, 5053, 5664, 6852, 7677, 767, 1865, 2989, 3987, 5124, 5586, 6771, 7469, 948, 1829, 2666, 4125, 4354, 5699, 6780, 7528, 831, 1669, 3038, 3975, 4455, 6220, 7109, 7927, 335, 2059, 2989, 3478, 4780, 5363, 6852, 7717, 731, 1315, 2309, 3879, 4436, 5825, 6719, 7563, 391, 1463, 2826, 4145, 4497, 5485, 7220, 8240, 571, 1234, 2960, 3932, 4720, 5901, 7207, 7557, 804, 1992, 3043, 3361, 4856, 5219, 6302, 8076, 139, 1400, 2505, 3904, 5020, 5486, 6418, 8084, 556, 1826, 2486, 3313, 4621, 5565, 6574, 7826, 1019, 1807, 2486, 3672, 5138, 5944, 6519, 8161, 344, 1269, 2587, 3709, 4270, 5313, 6892, 7756, 864, 1189, 2251, 3709, 4580, 6024, 6784, 7412, 1008, 1545, 2875, 4096, 4485, 5348, 6849, 7571, 277, 1758, 2242, 3451, 4673, 5393, 7045, 7579, 692, 1723, 2511, 4096, 4287, 5631, 6717, 7259, 864, 1736, 3073, 4045, 4799, 5795, 6265, 7824, 547, 1736, 2815, 3165, 4993, 5796, 6846, 7717, 473, 1613, 3026, 3525, 4615, 5624, 6981, 7472, 1047, 2106, 2899, 3771, 4824, 5811, 7047, 7648, 482, 1582, 2227, 3941, 5083, 5629, 6904, 7807, 575, 1157, 2409, 3737, 4602, 5251, 6753, 7527, 508, 1356, 2868, 3896, 4268, 5203, 7197, 7438, 825, 1687, 2296, 3989, 4927, 5755, 6540, 7470, 492, 1898, 2455, 3847, 4455, 5624, 6388, 7622, 211, 2050, 2954, 4096, 4212, 5865, 6568, 7586, 891, 1199, 2450, 3802, 4514, 6168, 6963, 7481, 663, 1897, 2874, 3901, 4964, 5766, 7157, 7735, 1056, 2125, 3095, 3987, 5061, 6205, 6809, 8080, 789, 1467, 2473, 3982, 4822, 5873, 6776, 7421, 715, 1579, 2167, 3364, 5166, 6146, 6470, 7476, 518, 1910, 2975, 3204, 4179, 5386, 6938, 7256, 825, 2060, 2596, 3499, 4586, 5285, 6581, 7319, 223, 1484, 2212, 3314, 4546, 5862, 7157, 7669, 1008, 1990, 2409, 4110, 5141, 6135, 6456, 8077, 1024, 1469, 2336, 3251, 5090, 5448, 6659, 7389, 547, 1227, 2137, 3699, 4181, 6062, 6695, 7906, 970, 1399, 2465, 3803, 5159, 5797, 7217, 8066, 1056, 1175, 2783, 3639, 5155, 5543, 7149, 7846, 390, 1120, 2796, 4085, 5153, 6123, 6979, 8252, 308, 1218, 3007, 3803, 5080, 6129, 6734, 8076, 779, 1963, 3095, 3990, 5061, 5210, 7162, 7421, 980, 1280, 2738, 4114, 4895, 5661, 6996, 8076, 779, 1540, 2781, 3975, 5060, 5590, 6588, 8260, 750, 1120, 3135, 3681, 4554, 5210, 6771, 7846, 776, 1146, 2839, 3240, 4222, 5901, 6765, 7887, 1008, 1166, 2373, 3743, 4823, 6019, 7154, 8108, 247, 1469, 2374, 4009, 4826, 5334, 7154, 8256, 203, 2035, 2373, 4167, 4775, 6190, 6814, 7274, 492, 1183, 2956, 3203, 4775, 5410, 6800, 8018, 840, 2002, 2995, 4007, 4272, 5437, 6538, 8235, 884, 2011, 2748, 3596, 4866, 5783, 6830, 8161, 1101, 1496, 2638, 3552, 4544, 5683, 6522, 7873, 784, 1695, 2128, 3651, 4494, 5664, 7144, 7796, 504, 1164, 2940, 3420, 4546, 5276, 6302, 7887, 386, 1550, 2678, 3190, 4774, 5893, 6905, 7510, 545, 1948, 3091, 3709, 4195, 5250, 6663, 7891, 955, 1708, 2661, 3475, 4181, 5422, 7229, 7263, 356, 1146, 3033, 4068, 5134, 6189, 7098, 7485, 914, 1998, 2957, 3710, 4551, 5216, 6589, 8126, 256, 2000, 2970, 3595, 4622, 5438, 6604, 7421, 183, 1147, 2349, 3723, 5127, 5767, 7239, 7865, 757, 2052, 2803, 3376, 4716, 5908, 6607, 7602, 552, 2002, 2678, 3540, 4697, 6128, 6715, 7476, 484, 2088, 3026, 3914, 4374, 5844, 6740, 8093, 186, 1833, 2860, 3893, 4583, 5219, 7226, 8080, 488, 1622, 2806, 3825, 4630, 6081, 6688, 8196, 818, 2017, 3117, 3367, 4624, 5635, 7077, 8223, 818, 1804, 3117, 3945, 4888, 5635, 7124, 8147, 914, 1804, 2947, 4011, 5038, 5635, 6786, 8196, 223, 1717, 3098, 3776, 5115, 6123, 7149, 8107, 304, 1963, 2989, 3949, 5104, 6205, 6996, 8107, 160, 1608, 2881, 3540, 4204, 5942, 7222, 8226, 750, 1860, 2797, 3681, 5022, 6205, 7217, 7962, 641, 1146, 2419, 3581, 5106, 6147, 7023, 7838, 887, 2035, 2819, 3505, 4318, 5898, 6704, 7631, 641, 1251, 2144, 3584, 4451, 5752, 6912, 7492, 778, 1113, 2137, 3266, 4672, 6018, 7181, 7935, 104, 1778, 2137, 4150, 4691, 6121, 6851, 7965, 536, 2089, 2923, 3184, 4602, 5681, 6480, 8154, 536, 1858, 3050, 3218, 4787, 5311, 6271, 7509, 536, 1655, 2128, 3369, 4298, 5496, 7156, 7651, 299, 1858, 2241, 3226, 4591, 5937, 7154, 7843, 150, 1672, 2847, 3300, 4514, 5844, 6517, 8150, 826, 1931, 3056, 3525, 4547, 6089, 7072, 7817, 1057, 1516, 2707, 3649, 4671, 5349, 6619, 7899, 826, 1477, 2707, 3679, 4195, 5700, 6933, 8126, 1008, 1930, 2740, 4117, 5098, 5608, 6308, 8129, 1016, 2036, 2440, 3480, 4780, 5942, 6932, 8112, 344, 1773, 2232, 3911, 4852, 5654, 7192, 7628, 1001, 1296, 2661, 3937, 5175, 5878, 6850, 7648, 1001, 1146, 2667, 3727, 4687, 5272, 6939, 7602, 876, 2035, 3151, 3169, 4531, 5298, 6331, 8057, 1008, 2008, 2667, 3566, 4277, 5593, 7158, 8021, 1016, 1740, 2355, 3653, 4548, 6118, 6484, 7707, 1016, 2048, 3151, 3551, 4688, 6118, 6419, 7284, 961, 2048, 2361, 4165, 4185, 6145, 6258, 7248, 277, 1199, 2422, 3998, 5054, 6118, 6422, 8189, 271, 2050, 2222, 3843, 4868, 6064, 6735, 7381, 1024, 1708, 2345, 3393, 5174, 5325, 6780, 7519, 610, 1177, 3092, 4154, 5110, 5872, 7025, 7538, 424, 1141, 3149, 3991, 4801, 5320, 6348, 7355, 899, 1519, 2988, 4092, 5095, 5257, 6611, 7939, 1056, 1467, 2895, 3544, 4359, 5687, 6988, 7716, 663, 2107, 2960, 3932, 5085, 5950, 6604, 7918, 881, 1252, 2874, 4091, 4669, 5953, 6832, 7504, 826, 1826, 2902, 3233, 4205, 5610, 7072, 7262, 876, 1630, 2953, 3991, 4321, 6002, 7066, 8050, 1008, 1496, 2559, 3741, 4412, 5318, 6598, 7963, 308, 1856, 2858, 3602, 5169, 5568, 6634, 8128, 818, 1791, 2949, 3374, 4287, 6007, 7090, 8245, 935, 1871, 2947, 3440, 5166, 5241, 6709, 7570, 488, 1791, 3095, 4114, 4912, 6211, 6972, 7876, 1097, 1620, 2806, 4011, 4287, 6123, 7006, 8237, 1097, 1684, 3110, 4068, 4888, 5705, 6677, 7806, 859, 2111, 2858, 4068, 4701, 5219, 6892, 8237, 105, 2111, 3021, 3516, 4592, 5811, 6996, 8080, 617, 1468, 2918, 4166, 5038, 5438, 6809, 7732, 105, 1750, 2833, 3391, 5104, 5219, 6772, 7303, 105, 1750, 2833, 3425, 4890, 5689, 6584, 7291, 859, 1468, 2833, 4166, 4888, 5550, 7201, 7716, 105, 1750, 2833, 3391, 4624, 5550, 6671, 7865, 555, 1468, 2833, 4153, 4764, 5436, 6677, 8083, 555, 1468, 3021, 4153, 4870, 5901, 6988, 8261, 555, 1468, 2970, 3891, 4681, 6163, 6810, 7664, 555, 1468, 2833, 4071, 5138, 5550, 6752, 7723, 915, 1468, 2833, 4083, 5138, 5413, 7098, 7838, 915, 1468, 2833, 3771, 4859, 5241, 7152, 7715, 555, 1648, 2554, 3374, 5159, 5767, 6772, 8080, 915, 2017, 3021, 3391, 4624, 5550, 6996, 7766, 488, 1528, 2554, 3893, 5160, 5241, 7124, 8261, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 208, 1917, 2483, 3723, 5127, 6090, 6935, 8132, 541, 1477, 2301, 3903, 4951, 5521, 6347, 7437, 513, 2073, 2971, 3908, 4685, 5764, 7149, 7775, 513, 1675, 2860, 3960, 4890, 5910, 6821, 7811, 1033, 2068, 3108, 3239, 4829, 5809, 6773, 7988, 846, 1766, 2241, 3817, 4591, 6101, 6881, 7953, 656, 1318, 3090, 3302, 4310, 5512, 6657, 8212, 1019, 1469, 2974, 3446, 4803, 5970, 6550, 7882, 547, 1766, 2727, 3432, 4314, 5223, 6645, 7378, 1063, 1469, 2349, 3514, 4257, 5454, 6795, 7478, 333, 1900, 3074, 3700, 4663, 5819, 7083, 7886, 424, 1389, 2845, 3584, 4310, 5623, 6716, 7754, 110, 1146, 2970, 3512, 4727, 5687, 7165, 7989, 235, 1995, 2979, 3794, 4952, 6092, 6643, 8165, 473, 1106, 2556, 3922, 4849, 5719, 6653, 7694, 833, 1141, 2980, 4028, 4343, 5438, 6486, 7652, 617, 1756, 3079, 3289, 4588, 5613, 6382, 7934, 568, 1533, 2839, 3662, 4855, 5893, 7219, 7825, 256, 2078, 2833, 3931, 5061, 5436, 6338, 8043, 757, 1623, 2356, 3827, 4985, 5210, 7115, 7260, 859, 2032, 2839, 4018, 5142, 5219, 7111, 7476, 959, 1112, 2560, 4092, 5159, 6085, 7006, 7865, 1033, 1706, 2492, 3687, 5142, 6182, 7219, 7538, 769, 2051, 2751, 3190, 4459, 5717, 6663, 7501, 443, 1388, 2175, 4143, 4804, 5754, 6431, 7828, 1040, 2036, 2487, 3492, 4211, 6106, 6224, 8238, 1003, 1778, 2282, 3460, 5074, 5960, 6910, 8038, 1035, 1660, 2678, 3870, 4212, 5925, 6777, 7608, 104, 1244, 2750, 3469, 4577, 5771, 7114, 8139, 391, 2003, 2534, 3233, 4556, 5978, 6426, 7955, 614, 1932, 2887, 3245, 4893, 5573, 7019, 7508, 986, 1540, 3076, 3398, 4617, 5298, 6614, 7582, 936, 1897, 2923, 3188, 4976, 5558, 6614, 8204, 485, 1529, 2129, 3427, 5123, 6171, 6348, 8105, 1033, 2050, 2503, 3940, 4715, 5277, 7114, 7954, 614, 1978, 2373, 3839, 4709, 5523, 6465, 8026, 1024, 1469, 2435, 3667, 4934, 6034, 6290, 8048, 887, 1469, 2567, 4047, 5121, 6119, 6950, 8026, 887, 1682, 2653, 3227, 4542, 5869, 6730, 7646, 104, 1660, 2359, 3810, 4181, 6070, 6859, 8075, 271, 2079, 2359, 3229, 4706, 6063, 7003, 7401, 1025, 1494, 2137, 3544, 5093, 5536, 6402, 7497, 1025, 1797, 2554, 3769, 4573, 6211, 6609, 8077, 610, 1672, 2554, 3398, 4589, 6014, 7162, 8076, 831, 1316, 2359, 3697, 4306, 5216, 6671, 7662, 776, 1660, 2554, 3175, 4511, 5631, 6787, 7476, 692, 1897, 2137, 3484, 5068, 5506, 6787, 7830, 938, 2067, 2137, 3741, 4333, 5380, 7030, 7458, 620, 1786, 2762, 3870, 4596, 6080, 6983, 7534, 862, 2059, 2396, 3892, 4484, 5838, 6563, 7405, 1017, 1695, 2751, 3593, 4808, 5843, 6569, 7578, 662, 1942, 2341, 3503, 4574, 5212, 6570, 7863, 1017, 1562, 2487, 3351, 4953, 5629, 6431, 7614, 995, 1842, 2341, 3741, 4843, 6217, 6302, 7776, 730, 1397, 2885, 3770, 4426, 5723, 6484, 7720, 1103, 1834, 2692, 3236, 4359, 5581, 6346, 7811, 495, 1555, 2692, 3218, 4343, 5723, 6921, 7504, 1001, 1112, 2900, 3599, 4397, 6203, 6535, 7772, 1011, 1112, 2181, 3213, 4305, 5479, 6894, 8092, 137, 1695, 2875, 3756, 4412, 5464, 6370, 8128, 613, 1942, 2341, 3986, 5075, 5504, 6769, 8033, 1038, 1732, 2692, 3340, 4323, 6166, 6933, 8164, 708, 1942, 2661, 3610, 4459, 5719, 6811, 7291, 845, 1695, 2885, 3472, 4459, 5827, 6883, 8034, 1059, 1209, 2487, 3355, 4724, 5734, 6852, 7476, 807, 1600, 2346, 3715, 4435, 5810, 6698, 7683, 1059, 1209, 2487, 3417, 5098, 6166, 6466, 7706, 643, 1695, 2258, 3410, 4555, 5437, 6414, 7261, 779, 1905, 2346, 3266, 4684, 5445, 7120, 7678, 1079, 1600, 3021, 3363, 5138, 5978, 6883, 8164, 859, 1623, 3064, 3909, 4555, 6007, 7120, 7753, 488, 1623, 2960, 3886, 5166, 6103, 7006, 7732, 142, 1528, 2806, 4114, 5058, 6139, 7218, 8179, 818, 2017, 2164, 3893, 4624, 6139, 7077, 8260, 818, 2017, 2914, 3893, 4624, 6139, 7226, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6081, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 7766, 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, 1622, 2914, 3367, 4624, 6186, 7226, 7766, 4, 2 ]

[ 1, 31, 16, 5, 50, 36, 54, 16, 52, 5, 64, 66, 39, 66, 64, 5, 31, 14, 66, 5, 31, 16, 5, 28, 60, 5, 76, 33, 54, 66, 5, 23, 66, 5, 76, 45, 31, 5, 31, 16, 5, 64, 62, 26, 42, 52, 15, 64, 5, 5, 3, 860, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8147, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 818, 1869, 3065, 3982, 4798, 5635, 7239, 7723, 335, 2063, 3064, 3990, 4980, 5694, 7162, 8267, 653, 1773, 2542, 4130, 4521, 5684, 6973, 7547, 840, 1596, 2181, 3552, 4665, 5523, 6234, 7621, 856, 1557, 2629, 3656, 5026, 5594, 6535, 7367, 862, 2047, 2788, 3500, 4236, 5825, 6692, 8000, 448, 1164, 2506, 3533, 4411, 5942, 7219, 7702, 308, 1637, 3147, 3550, 4901, 5723, 6412, 7948, 512, 2036, 3006, 3671, 4598, 5565, 6605, 7838, 512, 2036, 3043, 3229, 5007, 5493, 6809, 7641, 356, 1869, 2709, 3540, 4191, 5221, 6677, 8083, 334, 1108, 2181, 4078, 5053, 5574, 6978, 8099, 334, 1318, 2181, 4096, 5120, 5983, 6614, 7913, 397, 1206, 2771, 3817, 5012, 5713, 7165, 7971, 722, 1411, 2287, 3610, 4644, 5743, 7041, 8044, 930, 1411, 2883, 4147, 4644, 5280, 6412, 7453, 735, 1758, 3050, 3248, 5151, 5942, 6789, 8259, 870, 1449, 2378, 3674, 4383, 5417, 6922, 8134, 480, 2059, 3050, 3648, 4744, 5946, 6941, 7910, 1040, 1252, 2740, 3386, 4199, 5331, 7053, 7490, 850, 1261, 2741, 3907, 4255, 6016, 6971, 7435, 404, 1410, 2979, 3747, 5071, 5640, 6432, 7650, 1057, 1420, 2784, 4025, 4381, 5852, 6485, 7533, 641, 1333, 2503, 4081, 4459, 5573, 7012, 7528, 262, 1600, 2540, 3605, 4496, 5344, 7039, 7934, 335, 1477, 2980, 4137, 4928, 5752, 6579, 7904, 335, 1477, 2794, 3420, 4651, 5908, 7215, 7689, 856, 1412, 2316, 3407, 4849, 5475, 6347, 8054, 870, 1326, 2207, 3507, 4660, 5272, 6466, 8099, 856, 1838, 2824, 3300, 4350, 5747, 6957, 8247, 262, 2070, 2294, 4047, 4609, 5308, 6518, 8208, 1006, 2019, 2437, 3954, 4246, 5256, 6681, 8245, 1067, 1440, 2578, 3840, 4760, 5839, 6264, 7843, 722, 2050, 2546, 3438, 5151, 5835, 6923, 7262, 318, 1362, 2290, 3235, 4678, 6050, 6929, 8178, 942, 1199, 2167, 3967, 4431, 5646, 6822, 7983, 878, 1499, 2251, 4151, 4713, 5810, 6758, 7774, 195, 2079, 2461, 4168, 4399, 5708, 6284, 7809, 699, 2030, 2340, 3376, 4193, 5929, 6980, 8164, 195, 1326, 3091, 3949, 4555, 5963, 6584, 7693, 654, 2002, 3021, 3879, 5138, 5981, 7095, 7904, 195, 2002, 2729, 4103, 4555, 6175, 6566, 7717, 127, 2002, 2316, 3795, 4622, 6175, 6688, 8236, 240, 1304, 2554, 3595, 4398, 5811, 7152, 7549, 789, 1304, 2473, 3931, 5088, 5677, 7160, 7557, 256, 1851, 2729, 4145, 4888, 6110, 6604, 8126, 518, 1750, 2781, 4174, 4918, 6110, 6338, 7732, 256, 2111, 2473, 3420, 4877, 5716, 7014, 7785, 716, 1332, 2903, 3741, 4571, 5918, 6286, 7313, 1019, 1347, 2974, 3981, 4901, 5512, 7073, 7727, 1042, 1919, 3019, 4007, 4725, 6086, 6694, 8039, 996, 1266, 2764, 3517, 4339, 5443, 6781, 7900, 1080, 1782, 2268, 3936, 4953, 5734, 6909, 7944, 545, 1118, 2260, 3485, 5128, 5384, 6458, 7420, 582, 1489, 2142, 3623, 4402, 5610, 6799, 7398, 1003, 1550, 2156, 3332, 4444, 5512, 6562, 7313, 986, 2114, 3029, 3513, 5151, 5624, 6494, 8197, 715, 1164, 2741, 4038, 5023, 5610, 6343, 7707, 103, 1363, 2987, 3933, 4437, 5620, 7222, 8173, 510, 1876, 3112, 3930, 4489, 6222, 7129, 8260, 1099, 2068, 3007, 4113, 4549, 5705, 6677, 7421, 789, 1623, 3007, 4111, 4387, 5493, 6283, 8261, 518, 1633, 2833, 3595, 4611, 6149, 6642, 7421, 654, 1372, 3147, 3364, 5038, 5413, 6584, 7887, 654, 1623, 2833, 3879, 5079, 5548, 6612, 7563, 654, 1332, 2775, 4149, 5097, 5378, 7120, 7477, 127, 2118, 2904, 3391, 4329, 5548, 6579, 7906, 240, 2030, 2946, 3552, 4870, 5333, 6515, 8118, 789, 1349, 2904, 3937, 4681, 6182, 7069, 7549, 859, 2046, 2957, 3564, 4387, 6149, 7118, 7716, 262, 1171, 2481, 4125, 4872, 5761, 6551, 7619, 493, 1296, 2953, 3735, 4933, 6047, 7030, 7841, 994, 1421, 2956, 4007, 4483, 5560, 7031, 7288, 897, 1299, 2848, 4007, 4614, 5397, 6271, 7795, 899, 1467, 2455, 3732, 4318, 5665, 7085, 7677, 956, 1945, 2746, 4152, 5088, 5605, 6677, 8093, 1099, 2111, 2803, 3710, 4861, 6007, 6776, 7908, 935, 1874, 3022, 3891, 4366, 5968, 7090, 7949, 984, 1557, 2947, 3710, 4611, 6131, 6988, 7821, 317, 1403, 2957, 3407, 4588, 6007, 6302, 7819, 987, 1523, 2607, 3798, 5011, 6101, 6284, 7969, 271, 1315, 2974, 3448, 4335, 5594, 6823, 7730, 266, 1582, 2785, 3525, 5092, 5286, 6919, 8125, 571, 1919, 2330, 3334, 4323, 6218, 6586, 7944, 955, 2035, 2912, 4067, 5060, 5942, 6938, 7260, 211, 1867, 2381, 3226, 5165, 5834, 6540, 7570, 779, 2107, 3060, 3645, 5085, 6175, 7084, 7458, 1056, 1945, 2895, 4108, 5098, 5227, 6584, 7458, 308, 2000, 2754, 4152, 5038, 6129, 6776, 8267, 247, 1867, 3090, 3989, 4423, 6058, 6571, 7841, 458, 1914, 3003, 4098, 4706, 5220, 6570, 8072, 270, 2026, 2519, 3467, 4315, 5512, 7227, 8081, 736, 2026, 3031, 3895, 5152, 6130, 6631, 7827, 888, 1823, 2173, 3384, 4706, 5466, 6628, 8189, 917, 1768, 2368, 3557, 5188, 5498, 7061, 8164, 400, 1167, 2966, 3547, 4914, 5891, 6692, 8162, 736, 1768, 2628, 3986, 4788, 5220, 7196, 7644, 270, 1141, 2506, 3286, 4214, 5671, 6224, 8062, 1019, 1141, 2260, 3474, 4694, 5879, 7053, 7825, 807, 1267, 2214, 3669, 5134, 5665, 7178, 7535, 887, 1586, 3020, 3764, 4323, 5374, 6461, 7686, 887, 2033, 2250, 3499, 5001, 5540, 6840, 7849, 887, 1407, 2250, 3885, 4953, 5441, 6563, 7488, 887, 1581, 2885, 4171, 5108, 5596, 7144, 7570, 887, 1581, 2993, 3395, 4533, 5572, 7159, 8230, 1090, 1856, 2381, 3693, 5054, 6111, 6975, 7800, 1016, 2084, 2793, 3635, 4200, 5843, 6962, 8070, 1067, 1674, 2534, 3770, 4722, 6061, 6552, 7753, 1023, 1685, 2485, 4085, 4667, 5578, 6595, 7652, 737, 1512, 2260, 3848, 5124, 5879, 6690, 7815, 363, 1119, 2378, 3403, 4991, 5578, 6944, 7987, 249, 1586, 2156, 3623, 4421, 5588, 6654, 8049, 535, 1510, 3029, 4137, 4592, 6176, 6403, 7930, 610, 1809, 2678, 3955, 5150, 5663, 6474, 8205, 1025, 1296, 2429, 3540, 5110, 6084, 7019, 8261, 725, 1402, 2515, 4026, 5000, 5752, 6349, 7951, 714, 1496, 3078, 4137, 4955, 5512, 6477, 7271, 327, 1630, 2191, 3641, 4927, 6002, 6334, 8234, 145, 1301, 2239, 3841, 4743, 6002, 6762, 7362, 360, 1348, 2626, 3940, 4699, 5565, 6552, 7273, 910, 1828, 2700, 3392, 4990, 5902, 6735, 7862, 875, 1814, 2465, 3177, 4882, 5578, 6389, 7930, 1101, 1168, 3040, 3463, 4237, 5432, 6620, 7741, 363, 1183, 2873, 3658, 4678, 6136, 6919, 7950, 271, 2059, 3103, 3313, 5026, 5662, 7000, 7710, 692, 1156, 2152, 3777, 4545, 5405, 6560, 7284, 288, 1930, 2729, 3776, 4777, 5694, 6510, 7248, 984, 1499, 3109, 3533, 5044, 5593, 6771, 8227, 427, 1175, 3150, 4053, 5080, 6003, 6774, 7706, 984, 1847, 2493, 4115, 4630, 5630, 6668, 8066, 984, 1998, 2391, 3512, 5085, 5684, 7217, 7876, 984, 1869, 2991, 3645, 5159, 6087, 6980, 8179, 216, 1981, 2984, 3776, 4379, 5241, 6709, 7621, 731, 1992, 2985, 3521, 5073, 5899, 7047, 7768, 386, 1682, 2493, 3388, 4867, 5321, 6482, 7458, 803, 1717, 2137, 3159, 5144, 5351, 7190, 8033, 737, 1260, 2436, 4043, 4738, 5624, 6658, 7622, 1090, 1523, 2565, 3460, 4334, 5614, 6354, 7676, 308, 1407, 3008, 3866, 4870, 5767, 7230, 8185, 684, 1700, 3144, 3909, 4651, 6182, 6348, 7846, 901, 1724, 2591, 3376, 4603, 5750, 6607, 8199, 901, 1572, 2340, 3555, 4486, 5896, 6614, 7767, 271, 1596, 2156, 4006, 4512, 5383, 7037, 7812, 465, 2033, 2959, 3233, 4305, 5485, 6476, 7405, 326, 1557, 2750, 3238, 4601, 5477, 6558, 8139, 576, 1821, 3002, 4025, 4541, 5823, 7143, 7408, 228, 1597, 2356, 4089, 4306, 5978, 6615, 8026, 654, 2002, 2349, 4047, 4214, 5624, 7094, 8150, 228, 2002, 2473, 3931, 5138, 5436, 7232, 8047, 654, 2097, 2469, 3595, 4344, 6181, 6604, 7846, 317, 2002, 3098, 3364, 5159, 5474, 6772, 7749, 1099, 1620, 2957, 3364, 4704, 5844, 6740, 7592, 915, 1961, 3062, 3886, 4859, 5534, 6889, 7557, 915, 2017, 3065, 3825, 4704, 5677, 6889, 7716, 419, 2000, 2164, 3914, 4630, 6081, 7069, 7806, 899, 1827, 2771, 4026, 5104, 6110, 6612, 8214, 887, 2064, 2515, 3343, 4656, 5705, 7079, 8195, 875, 1387, 2130, 3793, 4981, 6197, 6912, 7661, 604, 1609, 3010, 3251, 5118, 6135, 6659, 7471, 310, 1224, 2207, 3936, 4414, 6035, 6456, 7984, 810, 1990, 3103, 3283, 4306, 6060, 6432, 7259, 966, 1655, 2757, 3859, 4278, 5545, 6659, 8271, 1003, 2086, 3005, 3582, 4724, 5610, 7009, 7760, 662, 1510, 2532, 3672, 4607, 5648, 6252, 8140, 693, 1510, 2260, 3415, 5057, 6150, 6563, 8041, 1057, 1510, 2727, 3971, 4384, 5350, 6563, 7548, 495, 1369, 2506, 3337, 4985, 5543, 6828, 8210, 571, 2091, 2426, 3951, 4985, 5223, 6494, 8205, 804, 2032, 2729, 3644, 4764, 6026, 7162, 7607, 833, 1847, 2729, 3910, 5038, 6016, 6393, 7716, 390, 1624, 2996, 4166, 4713, 5589, 6996, 7260, 833, 1933, 2163, 4124, 5166, 5710, 7023, 8179, 373, 2088, 3008, 4145, 5183, 6014, 6630, 8117, 708, 1313, 2710, 3516, 4216, 5981, 7150, 7727, 756, 1244, 2654, 4088, 4881, 5547, 6803, 8128, 641, 1463, 2361, 3592, 5124, 5371, 7005, 7256, 981, 1209, 2995, 3475, 4334, 6202, 6538, 7947, 730, 1740, 2470, 3310, 4752, 5696, 6560, 8212, 1070, 1507, 2477, 3482, 4459, 6086, 6351, 7545, 810, 1347, 2670, 3187, 4556, 5656, 7191, 7909, 775, 1140, 2532, 3585, 4686, 5310, 6498, 7987, 775, 1349, 2346, 3965, 5103, 5481, 7228, 7883, 873, 1742, 2480, 4007, 4927, 5526, 6292, 7580, 873, 1510, 2692, 3424, 4485, 5318, 6599, 7397, 179, 1140, 3045, 3551, 4723, 5249, 6704, 7888, 192, 1706, 2186, 3552, 4805, 6184, 6659, 7747, 691, 1490, 2151, 3417, 4467, 5610, 7130, 7288, 536, 1496, 2346, 3652, 4937, 5244, 6533, 8193, 942, 1421, 2588, 4098, 4876, 5490, 6472, 8230, 610, 1140, 2239, 3721, 5057, 5843, 6943, 7651, 390, 1794, 2437, 3309, 5020, 5350, 7047, 8227, 304, 1490, 2422, 3516, 4918, 5652, 7162, 7807, 228, 1116, 2792, 3217, 4181, 5765, 6898, 7838, 228, 1112, 2469, 4137, 4890, 6051, 6988, 7643, 228, 2127, 2282, 3225, 5135, 5811, 6515, 7537, 518, 1756, 2469, 3231, 5061, 6175, 6612, 7826, 228, 1304, 2880, 3595, 4855, 5219, 6810, 7865, 228, 1876, 2473, 3550, 5075, 5656, 7069, 7707, 228, 1648, 2554, 3827, 4638, 5413, 6338, 7393, 228, 2065, 2833, 4166, 4387, 5241, 7152, 7715, 228, 2106, 2970, 4113, 5079, 5963, 6752, 7664, 228, 1826, 2669, 4153, 4780, 6110, 6612, 8102, 256, 2127, 3133, 3891, 5193, 5624, 6604, 8227, 228, 1750, 2729, 3394, 5168, 5413, 6677, 7723, 543, 2118, 2946, 3754, 5193, 5514, 7100, 8237, 617, 1750, 2221, 3376, 4622, 5901, 6338, 8076, 859, 1750, 2833, 3770, 4387, 5963, 7024, 7677, 488, 2111, 2806, 3595, 5088, 5515, 6810, 7716, 488, 2017, 3117, 3595, 4859, 6139, 6996, 8237, 488, 1622, 2806, 3893, 4624, 6139, 6612, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7077, 8223, 142, 1528, 2806, 3825, 4704, 6186, 6794, 8196, 488, 2017, 2914, 3893, 4624, 5635, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6186, 7226, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1648, 3065, 3391, 4387, 6186, 7226, 8223, 915, 1468, 2914, 3891, 4387, 5493, 6604, 7677, 555, 1648, 2858, 3891, 5079, 5635, 7077, 7831, 4, 2 ]

[ 1, 41, 20, 63, 5, 43, 73, 53, 5, 43, 48, 5, 51, 33, 63, 30, 5, 64, 57, 5, 53, 17, 29, 5, 5, 3, 308, 1773, 3008, 4011, 5038, 6051, 6809, 8066, 1099, 1963, 2957, 4039, 5166, 5210, 7239, 8179, 419, 2073, 2473, 4006, 4822, 6129, 7207, 7485, 789, 1525, 2729, 4011, 5159, 5677, 7207, 8266, 419, 1851, 2340, 3374, 4638, 6129, 6740, 8080, 419, 1525, 2914, 3550, 5135, 5438, 7100, 8179, 475, 2111, 2454, 4113, 4622, 5514, 6996, 7678, 132, 2106, 2991, 3932, 4512, 5630, 6972, 8185, 571, 1850, 2798, 3990, 4589, 6085, 7221, 8237, 685, 1672, 2928, 3681, 4971, 5525, 6681, 7473, 876, 1503, 2974, 3400, 4302, 5668, 6360, 7626, 344, 1919, 2137, 3960, 4989, 5512, 6782, 7898, 864, 1399, 2137, 4167, 5167, 5564, 6456, 7974, 1024, 1457, 2348, 3220, 4785, 5568, 6476, 7835, 373, 1205, 2968, 3152, 4646, 6208, 7069, 7700, 833, 1503, 2547, 3218, 4781, 5272, 6943, 8181, 715, 1446, 2752, 3536, 4688, 5930, 6465, 8246, 952, 1317, 2144, 3673, 4337, 5850, 6627, 8073, 160, 1217, 3073, 3391, 4929, 6131, 6591, 8006, 1033, 1303, 2617, 3740, 4570, 5567, 6811, 7447, 113, 1873, 2617, 3975, 4781, 6111, 7063, 8258, 993, 1455, 2923, 3318, 4213, 5432, 6670, 7605, 299, 2008, 2628, 3464, 4697, 5828, 6663, 8229, 936, 1897, 2952, 3796, 4688, 5750, 6456, 8048, 826, 1708, 2641, 3895, 5000, 5815, 6687, 7836, 408, 1820, 3033, 3639, 4374, 6113, 6550, 7643, 1025, 1850, 2678, 3187, 4665, 5506, 7084, 7476, 826, 1858, 2436, 3782, 4510, 6146, 6919, 7643, 826, 1141, 2797, 3575, 4971, 5642, 6514, 7919, 465, 2059, 3101, 3605, 4259, 5221, 6689, 7858, 807, 1635, 2865, 3341, 4664, 5263, 6944, 7513, 103, 1494, 2601, 3582, 4539, 6123, 6403, 7996, 103, 1915, 3112, 3955, 4402, 5706, 6654, 7704, 859, 1858, 2895, 3917, 4555, 6103, 6740, 7636, 818, 1620, 2946, 3188, 4822, 6139, 6709, 7421, 935, 2000, 3110, 3710, 5080, 6051, 6988, 7485, 935, 1791, 2946, 4068, 5080, 6081, 6996, 7732, 356, 1964, 3147, 4011, 4583, 5892, 7160, 8236, 221, 2088, 3147, 3236, 4844, 5323, 7008, 7402, 901, 1826, 2802, 3539, 4780, 5827, 6578, 7260, 105, 1545, 2163, 3931, 4912, 5378, 6579, 7641, 356, 1623, 2880, 3838, 4859, 6222, 7224, 8107, 356, 1939, 3021, 3990, 4402, 5776, 6830, 8061, 1071, 1112, 3052, 3298, 4352, 5487, 7023, 7687, 459, 1640, 2704, 3931, 4804, 6035, 6560, 7519, 113, 1942, 3035, 3778, 5040, 6112, 7017, 8132, 803, 1561, 2470, 3770, 4604, 5601, 6409, 7863, 895, 1189, 2817, 3456, 4484, 5992, 6466, 7597, 692, 1494, 2210, 3394, 4991, 5800, 7192, 7453, 1080, 1732, 2692, 3741, 4852, 5231, 6626, 8197, 404, 2036, 2316, 4095, 4574, 5206, 7053, 7687, 113, 1586, 2232, 3778, 4575, 5403, 6538, 8034, 876, 1821, 2918, 3616, 4604, 5366, 7086, 7536, 1038, 1397, 2716, 3711, 5146, 5304, 6474, 7424, 895, 1886, 2987, 3623, 5070, 5332, 7246, 7561, 1025, 1510, 2214, 4067, 4945, 5942, 6786, 7994, 959, 1510, 2399, 4151, 4198, 5408, 6292, 7957, 308, 1139, 2947, 4152, 4918, 5216, 7052, 7303, 1099, 2046, 2947, 3687, 5159, 5890, 7207, 7949, 475, 1961, 2925, 3671, 4888, 5687, 6604, 7887, 654, 2111, 3147, 3201, 4762, 6128, 6612, 7918, 127, 1304, 3133, 3681, 4536, 6041, 6604, 7614, 654, 2060, 2482, 4150, 4755, 5767, 6958, 8188, 654, 1345, 2669, 3891, 4916, 5908, 7024, 8185, 654, 2059, 2833, 3277, 5163, 5956, 6871, 8126, 654, 2106, 2904, 3704, 4276, 5548, 6701, 7555, 568, 1575, 3002, 3648, 4868, 5223, 6914, 8076, 256, 2064, 3131, 3844, 4181, 5514, 6648, 7781, 617, 2002, 2444, 4174, 4329, 6175, 6708, 7799, 1102, 2059, 3108, 3662, 5079, 5269, 6309, 7605, 223, 1724, 2178, 3994, 4329, 5435, 6319, 7746, 895, 1407, 2927, 4147, 4556, 6167, 6707, 7640, 895, 1205, 2179, 3748, 4841, 5637, 6687, 7560, 1008, 1990, 2266, 3960, 4868, 5387, 6405, 7560, 1008, 2126, 3151, 3227, 4595, 5269, 6456, 8034, 887, 1682, 2482, 3227, 4256, 5772, 6787, 8028, 887, 1682, 2482, 3999, 4868, 5796, 6433, 8073, 663, 2064, 2793, 3391, 4803, 5657, 6465, 7807, 424, 2125, 2903, 3961, 4308, 5765, 6688, 7908, 1090, 1850, 3101, 4145, 5012, 6123, 7220, 7768, 1025, 1773, 2582, 4018, 5145, 5216, 6688, 8260, 610, 1238, 2980, 3732, 4543, 5493, 6417, 7473, 610, 1238, 2797, 3314, 5038, 5589, 6433, 7535, 150, 1893, 2791, 3420, 4477, 6019, 6751, 7678, 692, 1926, 2437, 3394, 5141, 5422, 6626, 7898, 864, 1468, 2430, 3706, 4873, 5206, 6535, 7779, 1003, 1855, 3073, 3181, 5008, 5515, 6680, 8259, 641, 1867, 2297, 3626, 4561, 5696, 6255, 7571, 981, 1581, 2869, 3422, 5039, 5977, 6520, 7495, 1063, 1797, 2869, 3802, 4846, 5632, 6632, 7488, 887, 1496, 2678, 3259, 4215, 6101, 6755, 7365, 1090, 1510, 2381, 3390, 4470, 5578, 6684, 7764, 804, 1640, 2424, 4143, 4385, 5865, 7041, 7814, 186, 2017, 3135, 4108, 4861, 5687, 7120, 7591, 186, 2017, 3006, 4041, 5153, 5832, 6786, 8195, 105, 2097, 3095, 3904, 4512, 6182, 7129, 8080, 183, 1490, 3021, 3562, 4844, 5521, 6437, 8016, 225, 1496, 2718, 3352, 4985, 5493, 6607, 7485, 183, 1706, 2792, 3364, 5159, 5550, 6752, 7707, 568, 1633, 2875, 3391, 4762, 5218, 6768, 7426, 183, 1958, 2988, 3838, 4918, 5377, 7120, 8262, 183, 1958, 2356, 3838, 5159, 5514, 6607, 7717, 568, 1623, 2729, 4138, 5079, 6189, 6607, 7538, 757, 1905, 2491, 3930, 4179, 5594, 6701, 7395, 183, 2106, 2542, 3930, 4437, 5678, 7079, 7421, 757, 1269, 2542, 4138, 5079, 5918, 7102, 8051, 183, 2106, 2669, 3955, 4916, 5241, 7100, 7838, 183, 1510, 2858, 3277, 4916, 5241, 6810, 7500, 757, 1286, 2346, 3407, 4638, 6117, 7120, 7682, 617, 1623, 2560, 4174, 5138, 5385, 6443, 8262, 617, 1510, 2656, 3564, 4411, 5324, 6612, 7559, 859, 1684, 3133, 3754, 4916, 6117, 6589, 7485, 552, 1684, 3133, 3680, 4338, 5514, 6607, 7838, 552, 2065, 2880, 3391, 4704, 5635, 7120, 7831, 484, 2065, 2340, 3277, 4398, 5963, 7226, 7557, 186, 2073, 2340, 3803, 4583, 5963, 7077, 7485, 186, 2073, 2806, 4171, 5166, 6081, 6794, 8223, 142, 2017, 3065, 3825, 4704, 5901, 6794, 8196, 488, 2017, 3117, 3367, 4624, 5901, 6794, 7766, 488, 2017, 3065, 3893, 4624, 5635, 7226, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7077, 7766, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 4, 2 ]

[ 1, 43, 48, 5, 30, 45, 30, 5, 54, 11, 66, 5, 54, 57, 5, 31, 14, 66, 5, 31, 16, 5, 28, 14, 54, 30, 44, 50, 5, 76, 45, 29, 5, 31, 16, 5, 77, 45, 63, 78, 5, 43, 14, 30, 5, 53, 36, 64, 44, 41, 16, 52, 47, 5, 28, 23, 54, 30, 5, 16, 51, 63, 20, 64, 5, 43, 35, 5, 26, 78, 5, 43, 14, 30, 5, 41, 11, 52, 16, 54, 5, 16, 76, 39, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7124, 8147, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 105, 1750, 2970, 4026, 4918, 5635, 6996, 8261, 859, 1750, 2970, 3710, 4622, 5684, 6988, 8179, 613, 1708, 2661, 4035, 4736, 5280, 7047, 7920, 683, 1834, 2751, 4025, 5154, 5430, 6234, 7383, 683, 2053, 2751, 3236, 4214, 6001, 7002, 8061, 807, 1388, 2751, 4079, 4931, 6009, 6579, 7752, 487, 2079, 2491, 4015, 4881, 6062, 7059, 8215, 952, 1553, 2288, 3842, 5018, 5693, 7229, 7509, 103, 1238, 3040, 3496, 4604, 5574, 7103, 7643, 914, 1978, 2729, 3982, 4589, 5210, 7120, 7842, 914, 1485, 3110, 3803, 4993, 5436, 6677, 7895, 143, 1716, 2766, 4125, 5151, 6073, 6443, 7605, 397, 1388, 2138, 4073, 4225, 5902, 6663, 7256, 708, 1708, 2366, 3470, 4966, 5429, 6348, 8164, 487, 1328, 2587, 3959, 4437, 6217, 6728, 8029, 559, 2048, 3029, 3952, 4677, 5787, 6560, 7846, 862, 1397, 2302, 3792, 4302, 5716, 6414, 8117, 545, 1494, 2953, 4128, 4539, 6106, 6838, 7827, 938, 1695, 2751, 4073, 5004, 5459, 7103, 8150, 818, 2097, 2925, 3945, 4387, 5883, 6988, 7492, 510, 1280, 3098, 3188, 5145, 6137, 7218, 8066, 308, 1933, 2803, 3827, 4387, 5548, 6771, 7716, 390, 1463, 2839, 3975, 5085, 5901, 7160, 7718, 571, 2046, 3095, 3886, 4582, 6051, 7207, 8080, 391, 1717, 3043, 4174, 5145, 5883, 7207, 7918, 1033, 1932, 2678, 3962, 4691, 6203, 7157, 7941, 614, 1296, 2871, 3452, 5000, 5298, 6740, 8259, 826, 1633, 2480, 3307, 4713, 6201, 6919, 8126, 104, 1865, 2797, 3949, 4472, 5641, 6603, 7659, 884, 1350, 2173, 3679, 4573, 5325, 7203, 7284, 313, 1499, 2757, 3880, 4385, 5953, 6348, 7815, 508, 1872, 2751, 3385, 4956, 5806, 6648, 7301, 508, 2036, 2394, 3721, 4596, 5352, 7216, 7829, 645, 1850, 2636, 3808, 5053, 6014, 6378, 7984, 645, 1318, 2905, 3252, 4813, 5592, 6723, 7676, 645, 1509, 2721, 3975, 4203, 5710, 6991, 7290, 512, 1974, 2860, 3886, 4554, 5573, 6740, 7557, 484, 1620, 3135, 3803, 4822, 5210, 7201, 8080, 1099, 1620, 2957, 3516, 4470, 5359, 6515, 7641, 935, 2001, 2803, 4113, 4867, 5981, 7098, 8076, 288, 1750, 2991, 3516, 4622, 5635, 7239, 8267, 186, 2068, 2991, 4145, 5060, 6025, 6972, 7631, 1099, 2000, 2957, 3945, 4912, 6205, 7201, 8076, 956, 1963, 2781, 3188, 4630, 6129, 6979, 8185, 401, 1944, 2957, 3188, 4551, 5612, 6979, 7631, 401, 1944, 3060, 3361, 5104, 5974, 7218, 7641, 1090, 1227, 3144, 3975, 5165, 6051, 6752, 8267, 1025, 1773, 2984, 3540, 4282, 6111, 6630, 7527, 1025, 1809, 2636, 3187, 5106, 5616, 6269, 7476, 826, 1633, 2613, 3169, 4343, 5344, 7017, 7602, 826, 1633, 2798, 3544, 4210, 5641, 7017, 7557, 887, 2048, 2740, 3845, 4319, 5478, 6663, 7528, 465, 1171, 2659, 3452, 5065, 5579, 7012, 7737, 692, 1682, 2810, 3585, 4421, 5794, 7154, 7560, 1016, 1350, 2593, 3492, 4708, 6167, 7079, 7988, 1001, 1499, 2593, 4013, 4547, 5671, 6674, 7885, 1022, 1499, 2974, 3748, 5111, 5321, 6240, 8271, 887, 2070, 2707, 3791, 4305, 5620, 6978, 8221, 1016, 2036, 2130, 3218, 4641, 5272, 6710, 8245, 1016, 1721, 2446, 3259, 4971, 5699, 6910, 7458, 961, 1919, 2661, 4098, 4324, 6070, 6584, 7821, 1011, 1399, 2803, 3975, 4656, 5910, 6970, 7670, 1022, 1867, 2732, 3870, 4570, 6064, 6734, 7451, 610, 1608, 2998, 3544, 4653, 5901, 6646, 7260, 1081, 1874, 2502, 3998, 4801, 6009, 6809, 7631, 678, 1978, 2780, 4068, 4324, 6195, 7047, 8054, 1022, 1897, 3092, 3783, 5153, 5704, 6776, 7594, 1090, 1600, 3092, 3918, 4470, 6128, 6688, 7965, 779, 1330, 2503, 4170, 4782, 5515, 7168, 8145, 288, 1945, 2925, 3376, 4529, 5811, 7004, 7563, 1056, 2002, 2369, 3169, 4231, 6050, 6426, 8061, 776, 1770, 2542, 3949, 4387, 6146, 6840, 7470, 1038, 1826, 2348, 3917, 4363, 5782, 6763, 7475, 692, 1826, 2766, 3570, 4474, 5489, 6414, 7899, 1011, 1791, 3130, 3421, 4729, 5231, 6478, 7610, 308, 1747, 3150, 4073, 4536, 5590, 7132, 7481, 201, 1467, 2989, 4174, 4704, 5630, 6515, 7485, 488, 2017, 3110, 4115, 5165, 6182, 6515, 7485, 935, 1992, 3007, 4166, 5080, 6129, 7077, 7949, 956, 1175, 2991, 4174, 4624, 6081, 7201, 7876, 186, 1622, 3006, 4108, 5038, 5661, 7084, 8223, 473, 1705, 3135, 4011, 5159, 5883, 6349, 7806, 335, 1601, 2163, 4166, 4423, 6182, 6885, 7906, 840, 1828, 2832, 4067, 4920, 6067, 6823, 7590, 363, 1812, 2137, 3233, 5031, 5208, 6592, 7812, 1101, 2048, 2296, 3888, 4421, 5922, 6237, 7938, 684, 1407, 2534, 4114, 4276, 6146, 6361, 7908, 304, 1534, 2860, 3516, 4521, 5841, 7030, 8235, 804, 1881, 3007, 4135, 5104, 5705, 7201, 8083, 308, 1847, 2925, 3803, 5115, 6131, 6884, 8083, 804, 1280, 3144, 3803, 4588, 6211, 6979, 8185, 308, 1869, 3008, 4150, 5104, 5687, 7006, 8188, 684, 1963, 2730, 3226, 5104, 5694, 6613, 7876, 512, 1485, 3095, 3361, 4980, 5978, 6566, 8083, 308, 1455, 3043, 4171, 5104, 5761, 6709, 7806, 804, 1218, 2957, 3826, 4551, 6211, 6972, 8267, 997, 2127, 2154, 4107, 4952, 5690, 6649, 8133, 830, 1261, 2568, 3623, 4752, 6194, 6974, 8140, 584, 1397, 3102, 3356, 4443, 5945, 6746, 7881, 584, 1490, 3116, 3802, 4612, 5894, 6423, 7394, 920, 1849, 2665, 3548, 4329, 5729, 6682, 7394, 920, 1397, 2465, 3736, 4703, 6043, 6706, 7875, 465, 1349, 3029, 3794, 4867, 5592, 7118, 7748, 1101, 1349, 3029, 3326, 4933, 5696, 6721, 7756, 1101, 2100, 3029, 3635, 4848, 6042, 6860, 8053, 247, 1472, 2129, 3481, 4571, 5673, 6483, 7852, 1025, 1403, 2716, 4072, 4310, 6192, 7115, 8012, 150, 1255, 2476, 3233, 4476, 6007, 6251, 7912, 150, 2048, 2378, 3845, 4374, 6070, 7025, 7648, 150, 1496, 2924, 4082, 4938, 5660, 7098, 7367, 150, 1244, 3026, 4088, 4426, 5632, 6713, 7287, 895, 1721, 2905, 3759, 4536, 5765, 6985, 7858, 1025, 1494, 2369, 3634, 4607, 5548, 6240, 8195, 826, 1633, 2462, 4154, 4440, 5379, 6678, 7349, 424, 2036, 2926, 3979, 4586, 6128, 6677, 7641, 1090, 1821, 3149, 4151, 4319, 6063, 7143, 7313, 1056, 2066, 2669, 3533, 5145, 6084, 7132, 7706, 940, 1577, 3075, 3649, 4888, 5832, 7132, 7949, 308, 1175, 3007, 3253, 4912, 5953, 7168, 7920, 465, 1198, 2383, 3832, 4417, 5364, 7131, 8129, 1024, 1116, 2761, 3208, 5119, 6194, 6991, 7318, 692, 1388, 2751, 3443, 4954, 5339, 6623, 7868, 938, 1942, 2656, 3752, 4770, 5824, 7002, 8174, 1080, 1695, 2895, 3943, 4604, 5534, 6903, 7885, 995, 1640, 3106, 3792, 4995, 5787, 7030, 7707, 938, 1958, 2751, 3274, 4213, 6035, 6608, 8047, 981, 1942, 2170, 3417, 4804, 5814, 7112, 7805, 1024, 1958, 2720, 3334, 4555, 5923, 7160, 7480, 913, 1732, 2814, 3986, 5079, 5869, 6235, 7968, 913, 1806, 2751, 3420, 4446, 5352, 7157, 7936, 103, 1770, 2562, 4135, 4437, 6123, 7219, 7558, 684, 1562, 2708, 3671, 4225, 5493, 6443, 7260, 510, 2046, 2534, 3671, 4583, 5705, 6988, 7876, 308, 1705, 2925, 4026, 4700, 5586, 7218, 7908, 757, 1706, 2144, 3364, 4224, 5352, 6619, 7852, 225, 2034, 2328, 3359, 5097, 5586, 6870, 7978, 225, 1958, 2655, 3470, 4611, 5962, 7168, 7627, 183, 2034, 2448, 4125, 4353, 5216, 6749, 7965, 757, 1112, 3133, 4145, 4859, 5963, 6895, 7865, 859, 1876, 3139, 4145, 4859, 6149, 6604, 8261, 859, 1623, 2729, 4166, 4859, 6149, 7229, 8080, 201, 1528, 2729, 4071, 4681, 5901, 7010, 8260, 488, 2017, 2914, 4071, 4704, 5635, 7120, 8223, 818, 1622, 2806, 3893, 4681, 6129, 7084, 7766, 915, 1528, 3021, 3825, 5104, 6129, 6752, 8237, 859, 1622, 2781, 3932, 5038, 5901, 6752, 7631, 859, 1750, 2858, 3827, 4622, 5219, 6996, 8126, 859, 1974, 2918, 3680, 5159, 5678, 7100, 7831, 859, 2127, 3147, 4068, 4798, 5963, 7152, 8126, 859, 1750, 2858, 4006, 4870, 5635, 7077, 7485, 859, 2127, 3147, 4068, 4624, 5811, 7077, 8076, 859, 1750, 2554, 4006, 4423, 5385, 7160, 7831, 859, 2002, 2970, 4025, 5120, 6182, 7152, 8083, 105, 2106, 2833, 3777, 4555, 5385, 7100, 7753, 859, 1345, 2542, 3838, 4512, 5438, 6840, 7557, 617, 1289, 2833, 3564, 4398, 5385, 6840, 7677, 859, 1468, 3021, 4166, 4555, 5550, 6752, 7715, 859, 2111, 2858, 4166, 4555, 5548, 7120, 7643, 555, 2065, 2833, 3374, 4704, 5963, 6996, 8237, 186, 2065, 2833, 3891, 4374, 5892, 7090, 8237, 142, 2017, 2806, 3825, 4704, 5892, 6794, 7766, 488, 2017, 2806, 3893, 4624, 6139, 6589, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1528, 2838, 3893, 5058, 6211, 7077, 7949, 914, 1508, 3128, 4011, 5038, 5635, 6786, 8237, 716, 1587, 3061, 4075, 4387, 5687, 6771, 7557, 540, 1499, 2491, 3989, 4594, 6000, 6594, 8262, 608, 1141, 3017, 3996, 4487, 6031, 7181, 7273, 936, 1797, 2564, 3792, 4717, 5331, 6224, 8017, 103, 1794, 2728, 3276, 4646, 6128, 6544, 7801, 804, 1280, 3021, 3982, 5101, 6137, 7181, 8179, 568, 1199, 2139, 3183, 4902, 5755, 7149, 7462, 334, 1108, 2659, 3994, 4437, 5904, 7222, 8046, 228, 1623, 3139, 3374, 4555, 5640, 7100, 8236, 183, 1112, 2506, 3566, 4993, 6149, 6259, 7732, 183, 1876, 2542, 3751, 5168, 5998, 6579, 8188, 568, 1434, 2721, 4151, 4985, 6149, 7100, 7687, 256, 1880, 2448, 4168, 4890, 5565, 7006, 7477, 419, 1525, 2659, 3812, 4925, 5844, 7149, 8185, 935, 1620, 2560, 4011, 4398, 5705, 7006, 8080, 617, 1700, 2754, 3710, 4512, 5705, 6688, 8262, 475, 1945, 3144, 4011, 4486, 5589, 7152, 7421, 1071, 1233, 2598, 4125, 5159, 5623, 6607, 7831, 1052, 2009, 2436, 3562, 5031, 5489, 6255, 7656, 884, 1494, 2346, 3623, 4469, 5432, 6870, 8156, 807, 1207, 2725, 3443, 4539, 6213, 6848, 7616, 462, 1834, 2610, 3314, 4364, 6208, 6883, 7311, 986, 1397, 2661, 3732, 4831, 5316, 7083, 7536, 103, 1782, 2564, 3770, 4604, 5594, 6293, 7478, 231, 1782, 2701, 3770, 4604, 5981, 7002, 7291, 231, 1238, 2440, 3885, 4604, 5570, 7237, 7733, 231, 1238, 2885, 3936, 4385, 6119, 7065, 8234, 231, 1924, 2924, 3873, 4604, 6016, 6849, 8240, 487, 2045, 2564, 4007, 4845, 5902, 6948, 7770, 487, 2127, 3066, 4007, 5084, 5606, 7002, 7973, 845, 1708, 2751, 3323, 4943, 5804, 6777, 7987, 986, 1563, 2751, 4003, 4461, 5886, 6863, 8045, 884, 1692, 3007, 3329, 4942, 6135, 6719, 7627, 363, 1717, 3116, 3873, 4298, 5441, 6799, 7312, 1023, 1935, 2492, 3172, 5124, 5755, 6970, 7673, 540, 1806, 2940, 3751, 4852, 5884, 7043, 7395, 975, 1806, 2708, 3956, 4780, 5750, 7112, 8243, 1080, 1504, 2918, 3474, 4307, 5914, 6723, 7792, 1024, 2091, 2548, 3736, 4985, 5643, 6614, 7602, 668, 1504, 2506, 3817, 4218, 6097, 6787, 8144, 547, 2106, 2775, 3967, 4902, 5824, 6905, 8206, 913, 1768, 3043, 3605, 5146, 6034, 7130, 7677, 317, 1794, 2661, 3391, 5043, 5713, 6422, 7725, 654, 1917, 2527, 3231, 4673, 5982, 6732, 8036, 654, 2024, 2729, 3879, 5103, 5368, 7181, 8164, 518, 2068, 2554, 4145, 5091, 6166, 6734, 7677, 356, 1280, 2359, 3866, 4582, 6000, 6314, 7537, 750, 1286, 3147, 3254, 4235, 5543, 7069, 8252, 1062, 1854, 2492, 4074, 4340, 5809, 7163, 8263, 827, 1402, 2327, 3678, 4718, 5512, 7136, 8239, 994, 2036, 2625, 3259, 4800, 5523, 7234, 8058, 992, 2036, 3051, 4007, 4896, 5884, 6737, 7253, 992, 1703, 3039, 3720, 4644, 5447, 6999, 7420, 1091, 1794, 2720, 4168, 4365, 6066, 6646, 8239, 684, 1700, 2820, 3891, 5153, 5844, 7084, 8236, 552, 2046, 3098, 3593, 5085, 6103, 6584, 7563, 684, 2064, 3135, 3277, 4553, 5868, 7222, 7816, 390, 1705, 2903, 3277, 4447, 5904, 7220, 7717, 663, 1847, 2895, 3188, 4191, 5210, 7129, 8266, 1090, 1363, 2783, 3566, 5088, 6205, 6898, 7485, 424, 2125, 3098, 3922, 4801, 6163, 7152, 8075, 663, 1146, 3144, 3253, 4592, 5899, 6967, 8126, 778, 1782, 2352, 4083, 4811, 5573, 7075, 7799, 104, 1403, 2440, 3429, 5114, 5927, 7125, 7367, 993, 1797, 2660, 3709, 5134, 5325, 6835, 7628, 826, 1797, 2660, 3192, 4876, 5413, 6954, 7948, 826, 1797, 3141, 4150, 5165, 5794, 6784, 7773, 1023, 1763, 2511, 3894, 4506, 6030, 6497, 8247, 465, 1324, 2905, 4037, 4474, 5587, 6751, 7864, 1023, 1564, 3085, 3754, 4636, 5971, 6225, 7755, 1036, 1576, 2870, 3703, 4338, 6204, 7002, 8226, 668, 1758, 2785, 3679, 4636, 6114, 6571, 8135, 913, 1830, 2564, 3605, 4254, 5824, 7114, 7939, 678, 2008, 2792, 4083, 4855, 6203, 7230, 7831, 940, 1266, 2548, 3543, 5075, 5415, 7018, 7428, 225, 1313, 2548, 3680, 5179, 5761, 6224, 7852, 225, 2024, 2860, 3555, 4592, 5811, 7152, 8092, 228, 1527, 2554, 3508, 5151, 5515, 6589, 7318, 228, 1175, 2554, 3359, 4890, 6007, 6917, 7753, 228, 2030, 2562, 3732, 5120, 6137, 6776, 8130, 513, 1750, 2554, 3838, 4555, 5705, 7232, 8036, 859, 1998, 3000, 3987, 5157, 5516, 6840, 7865, 767, 1557, 2975, 3692, 4470, 6146, 6917, 7291, 1080, 1171, 2436, 3224, 4539, 5563, 7085, 8174, 725, 1268, 2552, 3418, 5084, 5874, 7246, 7727, 610, 1758, 3150, 3732, 4708, 5778, 7149, 8260, 789, 1992, 2473, 4006, 4589, 6129, 6630, 7717, 789, 1856, 2473, 4096, 5080, 5221, 7120, 7706, 440, 1886, 3000, 4145, 5165, 5219, 7084, 8262, 256, 1847, 3000, 3233, 4762, 6063, 6265, 8076, 518, 1992, 2970, 3879, 4489, 5219, 6776, 8262, 513, 1490, 2912, 3961, 4219, 5491, 6431, 7559, 1047, 1723, 2560, 4068, 4512, 6181, 6437, 8260, 401, 1177, 2754, 3777, 4983, 5436, 6308, 7422, 223, 1566, 3130, 3162, 4444, 5890, 6710, 7873, 981, 2047, 3075, 4026, 4937, 5678, 6838, 8107, 807, 1951, 2951, 3695, 5171, 6183, 6763, 7881, 487, 1164, 2360, 4066, 4804, 5565, 6812, 7881, 504, 1550, 2874, 3704, 4645, 5261, 6348, 7627, 678, 1397, 2436, 3662, 5098, 6208, 7012, 7378, 1099, 1867, 2924, 3962, 4867, 5436, 6709, 7528, 211, 1943, 3007, 3226, 5115, 6175, 7132, 7664, 684, 2107, 2838, 3886, 4533, 6063, 7058, 8179, 804, 2046, 3064, 4108, 4912, 5883, 6996, 8147, 1099, 2046, 2838, 3982, 4822, 5340, 7149, 7766, 804, 2046, 2880, 4108, 4630, 5883, 6988, 7485, 308, 2046, 2947, 3982, 5080, 6131, 7006, 7421, 804, 1804, 2991, 3226, 5038, 6103, 6786, 7723, 360, 1257, 2893, 4082, 4929, 5565, 7086, 7855, 875, 1537, 2141, 3498, 5110, 5915, 6275, 7638, 673, 1828, 3010, 3548, 4688, 5614, 6905, 7671, 302, 1393, 3029, 3521, 5072, 6082, 6568, 7678, 249, 1334, 2491, 3456, 4401, 6058, 6857, 7503, 492, 1818, 2643, 3850, 4864, 5791, 7212, 7656, 725, 1318, 2207, 3557, 4464, 5746, 7027, 8103, 1101, 1499, 2207, 3561, 4879, 6039, 7082, 7894, 271, 1145, 2189, 3408, 5023, 5825, 7181, 7255, 150, 1609, 2975, 3358, 4322, 6068, 6798, 8117, 784, 1199, 2981, 3836, 4622, 5811, 6449, 8211, 504, 1818, 2940, 4147, 4960, 5704, 6973, 8209, 386, 2035, 2638, 4055, 5040, 5550, 6507, 8255, 643, 1869, 3109, 3540, 4743, 6167, 7060, 7969, 940, 1244, 2960, 3360, 5134, 6007, 6980, 8083, 970, 1688, 2740, 4082, 4780, 6117, 6980, 8209, 1081, 1363, 2944, 3513, 5166, 6131, 7149, 7256, 678, 1777, 2783, 3866, 4215, 5204, 6589, 7887, 684, 1998, 2991, 3932, 4691, 6123, 7006, 8078, 313, 2036, 2886, 3941, 4305, 5565, 7212, 7501, 271, 1490, 2629, 3624, 5088, 6114, 6348, 7979, 150, 1496, 2258, 3956, 4747, 5430, 6464, 8132, 1097, 1791, 2868, 3819, 5060, 6146, 7218, 8078, 914, 1534, 3109, 3602, 5061, 6128, 6589, 8209, 510, 1847, 2391, 4085, 5061, 5630, 6709, 8267, 935, 1992, 2167, 3866, 5159, 6014, 7168, 7949, 488, 1528, 3117, 4085, 4583, 5612, 6972, 8179, 100, 1937, 2818, 3610, 5030, 5573, 6874, 8117, 153, 2088, 2777, 4168, 5168, 5654, 6365, 8251, 153, 2088, 2989, 3866, 5166, 5910, 7098, 8126, 804, 1833, 2895, 4093, 4993, 5832, 7006, 7901, 160, 1562, 2803, 3352, 4181, 5413, 6630, 8083, 895, 1937, 2726, 3414, 4565, 5407, 6493, 7738, 150, 1582, 2800, 3855, 5105, 5228, 7237, 7393, 150, 1582, 2258, 3954, 4585, 6156, 6516, 7540, 1057, 1582, 2258, 3156, 4473, 5475, 7017, 7478, 113, 1582, 2716, 4014, 4794, 6053, 6731, 8092, 776, 1791, 2716, 3352, 4364, 6190, 6921, 7500, 684, 2120, 2943, 4017, 4387, 6131, 6563, 7336, 225, 1529, 3035, 3869, 5187, 5918, 6520, 7339, 225, 1655, 3068, 3782, 4276, 5656, 7164, 8069, 228, 2073, 2791, 4073, 5080, 5837, 6338, 8267, 225, 1547, 2669, 3555, 5182, 5413, 6771, 7715, 225, 1424, 2250, 3555, 5079, 5706, 6757, 7887, 183, 1547, 2669, 3555, 5168, 6101, 6877, 7720, 171, 2002, 2370, 4003, 4512, 6189, 7120, 7717, 537, 1173, 2940, 3213, 5079, 6007, 7090, 8031, 271, 1566, 2436, 3929, 4762, 5504, 7095, 8206, 266, 1865, 2411, 3632, 5169, 5204, 6593, 7500, 840, 1865, 2638, 3537, 4396, 5591, 6929, 7495, 386, 1855, 2740, 3409, 4221, 5488, 6792, 8140, 784, 1571, 2563, 3183, 5027, 6159, 6904, 8111, 1067, 2052, 3145, 4165, 4387, 5468, 6903, 7349, 386, 1517, 3112, 4066, 4468, 5910, 7104, 7815, 504, 1407, 2424, 3877, 4952, 5942, 6690, 7403, 1029, 1628, 2234, 4130, 4554, 6218, 7027, 8171, 1029, 1158, 2234, 3279, 5057, 5334, 6617, 7767, 536, 1282, 2301, 4062, 4467, 5903, 6583, 7696, 876, 1669, 2458, 3709, 4367, 6066, 7212, 7954, 1001, 1582, 2387, 3215, 4321, 5547, 6276, 8131, 494, 1490, 2751, 3760, 4337, 5914, 6658, 7748, 494, 1603, 2751, 3973, 4728, 5914, 7126, 8239, 840, 1157, 2751, 3404, 4327, 5917, 6812, 7930, 840, 1157, 2751, 3619, 4722, 5545, 6517, 8137, 840, 1767, 2491, 3607, 4367, 6135, 6550, 7678, 840, 1786, 2888, 3187, 4742, 6002, 6897, 8077, 1063, 2036, 2430, 3177, 4881, 5345, 7100, 7518, 776, 1769, 2763, 4035, 4429, 5264, 6454, 7638, 1063, 1704, 2163, 3757, 4617, 5310, 6414, 8246, 759, 1605, 2348, 4072, 4846, 5909, 6812, 7898, 759, 1620, 2260, 4112, 5122, 6054, 7048, 7683, 641, 1623, 2793, 3568, 5140, 6011, 7085, 7305, 1057, 2125, 2987, 3251, 4314, 5919, 6676, 8158, 1084, 1858, 2151, 3779, 5123, 5687, 7100, 7792, 1062, 1858, 2980, 3827, 5153, 5904, 7005, 7896, 776, 1942, 2210, 3390, 4924, 5543, 6581, 7765, 585, 1867, 2946, 3759, 4633, 5449, 6783, 8187, 465, 1397, 3126, 3869, 4532, 5268, 7222, 8019, 465, 2056, 2210, 3223, 4364, 6080, 6497, 7873, 1090, 1327, 2210, 3445, 4346, 6142, 6751, 7776, 961, 1732, 3020, 3434, 5114, 5944, 6224, 7948, 424, 1118, 2156, 3226, 4983, 6002, 6734, 7737, 955, 1171, 2210, 3576, 4764, 5957, 6574, 7574, 756, 1323, 2554, 4103, 4379, 5824, 6734, 7602, 317, 1978, 2429, 3674, 4881, 6168, 7010, 8261, 518, 1645, 2987, 3562, 5079, 5536, 6296, 7497, 240, 1623, 3040, 3535, 4609, 5276, 7058, 7498, 518, 1750, 2925, 3595, 5088, 6110, 7006, 8076, 256, 1858, 2542, 3595, 4890, 5515, 7132, 7706, 789, 1623, 2792, 3770, 4859, 5678, 7090, 7716, 555, 1623, 2833, 3595, 5079, 5942, 6749, 7664, 201, 1684, 2729, 3825, 4704, 6103, 7090, 7806, 860, 2017, 2806, 4071, 4704, 6139, 7077, 8196, 488, 2017, 2806, 4071, 4624, 5635, 7239, 7485, 488, 1622, 2164, 3893, 4624, 6139, 7077, 8223, 488, 1684, 3065, 3825, 5157, 6139, 6794, 8080, 915, 1622, 2858, 4145, 4890, 5901, 6996, 7723, 915, 2017, 2833, 3893, 4624, 5635, 6996, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8147, 915, 2111, 2164, 3914, 4798, 6186, 7098, 8223, 915, 2111, 2914, 3914, 4798, 5534, 7098, 8223, 555, 2111, 2806, 3710, 5038, 5705, 7201, 7485, 555, 2111, 2164, 3825, 5159, 6081, 6996, 8080, 488, 1528, 3065, 3893, 4704, 5241, 6752, 8196, 915, 1622, 2164, 3891, 4798, 5241, 6752, 8196, 915, 1648, 2833, 3914, 4704, 6186, 7120, 8223, 555, 1648, 2970, 3891, 4681, 5811, 7077, 8196, 915, 1876, 2833, 3893, 4512, 5219, 6996, 8223, 915, 1648, 2806, 3914, 4583, 5515, 6752, 7664, 555, 1750, 2833, 4071, 4624, 5515, 7120, 7766, 555, 1750, 2833, 4071, 4624, 5963, 6604, 8196, 915, 1622, 2164, 3914, 4622, 5241, 7152, 7723, 555, 1750, 3021, 4071, 4624, 6163, 6752, 7723, 555, 1750, 3021, 3891, 4624, 6163, 7120, 8223, 555, 1750, 3021, 3891, 4624, 5550, 6515, 8083, 915, 1622, 2833, 3893, 4622, 6139, 6996, 8196, 915, 2017, 2164, 3914, 4798, 5241, 7124, 8223, 488, 1648, 2914, 4071, 4622, 6139, 6794, 8196, 488, 1528, 2914, 3374, 4798, 5241, 7226, 7485, 488, 1528, 2914, 3893, 4624, 5241, 6752, 8196, 488, 1528, 3065, 3914, 4798, 5241, 7124, 8223, 555, 2111, 3064, 4006, 4624, 5635, 7077, 8080, 915, 1622, 2858, 3891, 4798, 5241, 6752, 8076, 915, 1622, 2914, 3914, 4798, 5385, 6752, 7715, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4798, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4798, 6139, 6794, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 337, 1304, 2806, 3914, 4888, 5612, 6408, 8076, 759, 1332, 2520, 3752, 4781, 6123, 6935, 7750, 1006, 1349, 3146, 3776, 4856, 5637, 7246, 8111, 402, 1179, 2731, 3922, 4854, 5766, 6905, 7898, 559, 1521, 2304, 3676, 4770, 5722, 6726, 7801, 692, 1695, 2782, 3454, 4222, 5865, 6849, 7799, 512, 1721, 2729, 3374, 5080, 5630, 6891, 8126, 804, 1684, 3043, 3803, 4811, 5630, 6871, 8126, 984, 1998, 3032, 4115, 4780, 5219, 7098, 8076, 984, 1992, 2925, 4067, 4287, 5796, 7218, 7591, 967, 2060, 2754, 3932, 4782, 5705, 6677, 7476, 878, 2030, 3095, 4145, 4890, 5678, 6331, 8252, 256, 2030, 2991, 4092, 5061, 5641, 6382, 8147, 440, 1345, 2989, 4174, 4457, 5730, 6854, 7720, 440, 1924, 2491, 3364, 5020, 5407, 7039, 7563, 901, 1700, 2754, 3251, 4855, 5548, 7127, 7629, 901, 1426, 2210, 3248, 4900, 5684, 6308, 7313, 489, 1386, 2181, 3880, 4983, 5890, 6282, 7733, 959, 1308, 2556, 3737, 5091, 5296, 6338, 8227, 138, 1665, 3090, 3897, 4533, 5940, 6676, 7658, 436, 1665, 2361, 4076, 4911, 5360, 6561, 7819, 436, 1829, 2997, 3845, 4445, 5745, 6874, 8201, 1008, 1127, 3083, 3554, 4273, 5447, 6313, 7860, 1008, 1908, 2240, 3880, 4315, 6052, 7112, 7604, 344, 1316, 2712, 3256, 4894, 6066, 6309, 7813, 277, 1900, 2680, 3529, 4656, 5492, 7000, 7809, 864, 1984, 2824, 3217, 4310, 6147, 6899, 7923, 1016, 1928, 2680, 3220, 4399, 6024, 6431, 7291, 277, 2029, 2961, 3297, 4497, 5564, 6881, 7761, 1008, 1440, 2628, 3293, 4368, 5872, 6864, 7385, 831, 1848, 3011, 3801, 4214, 5305, 6469, 7965, 335, 1984, 2506, 3557, 4994, 5449, 7004, 8203, 1067, 1665, 2506, 4162, 4467, 6148, 7126, 7458, 1064, 1477, 2741, 3938, 4497, 5976, 6272, 7424, 404, 1571, 2865, 3581, 4467, 5209, 7002, 7576, 1003, 1669, 2905, 3736, 5014, 5322, 6516, 7693, 262, 1118, 2293, 3233, 5018, 5699, 6615, 7858, 731, 2090, 2440, 3395, 4720, 6147, 6677, 7798, 767, 1912, 2741, 3307, 4485, 5870, 6954, 8085, 223, 1244, 3150, 3981, 5169, 6080, 6612, 7428, 731, 2091, 2741, 3496, 4553, 5910, 7013, 7785, 511, 1886, 2891, 3408, 5150, 5491, 6706, 7822, 1080, 1865, 2304, 3713, 4741, 5904, 6910, 7515, 547, 1807, 3107, 3496, 4741, 6065, 6762, 7502, 938, 1446, 3060, 3717, 4675, 6098, 6409, 7313, 864, 1717, 2965, 3981, 4728, 5573, 6991, 7485, 643, 1251, 2961, 3676, 4287, 5204, 7033, 7801, 1011, 1812, 2732, 4047, 4241, 5937, 6809, 7256, 970, 1234, 2265, 3602, 5079, 5535, 6515, 7584, 504, 1280, 2135, 3843, 4828, 6179, 6938, 7957, 678, 1548, 2998, 3322, 5079, 6080, 6506, 8261, 1029, 1984, 2292, 3721, 4303, 5705, 6830, 7755, 150, 1325, 2901, 3865, 4451, 6147, 7025, 7501, 784, 1529, 3015, 3286, 5030, 5763, 6409, 7743, 465, 1468, 2690, 3960, 4770, 5441, 7175, 7492, 154, 1786, 3126, 3394, 4883, 5454, 6977, 7987, 458, 1507, 3066, 3441, 4731, 5473, 6536, 7879, 664, 1826, 2232, 3187, 4851, 5417, 7055, 7496, 137, 1296, 2487, 3572, 4576, 5300, 6840, 7367, 137, 1472, 2610, 3695, 4604, 5501, 6721, 8149, 996, 1472, 2379, 3307, 4773, 5663, 6615, 7639, 992, 1397, 2352, 3440, 5169, 5629, 6663, 8179, 1038, 1397, 2875, 3751, 4431, 5464, 6270, 7508, 862, 1280, 2610, 4045, 4499, 5828, 7181, 7592, 495, 1350, 3149, 3218, 5134, 5279, 7099, 8266, 139, 2051, 2751, 3871, 4708, 5483, 6970, 7902, 981, 1942, 2254, 3751, 4344, 5481, 6265, 7995, 913, 1561, 2726, 4147, 4604, 5283, 6961, 7959, 692, 1858, 2251, 3714, 4474, 5581, 6466, 7755, 620, 1289, 2751, 3488, 4306, 5721, 6240, 7683, 103, 2091, 2941, 3751, 4881, 5614, 7102, 7891, 495, 1821, 2482, 3799, 4388, 5918, 6740, 7279, 1038, 1397, 2990, 3792, 4594, 5527, 6348, 7348, 996, 1808, 3116, 3913, 4682, 5639, 7043, 7560, 1038, 1732, 2484, 3869, 4321, 6135, 7099, 8018, 996, 1289, 2688, 3943, 4949, 5307, 7224, 7781, 103, 1919, 3073, 3751, 4775, 5968, 7164, 7981, 211, 1118, 2792, 3981, 4555, 5346, 6562, 7660, 684, 1752, 2941, 3751, 4641, 5978, 7237, 8187, 804, 1147, 3008, 4145, 4782, 5869, 7006, 7831, 488, 2046, 2834, 3188, 4782, 6146, 7120, 7716, 818, 2017, 2925, 4108, 4782, 6129, 7239, 7723, 818, 1622, 3135, 3893, 4782, 5883, 7239, 8196, 818, 1856, 3110, 4150, 5106, 5635, 6988, 8267, 818, 1622, 3006, 3893, 4624, 6139, 6752, 8223, 555, 1684, 2989, 3803, 4798, 5210, 7077, 7485, 555, 1684, 3006, 3188, 4387, 5219, 7077, 8185, 555, 2017, 2833, 3188, 5165, 6085, 6794, 8260, 555, 1974, 3021, 3914, 4870, 5219, 6772, 7706, 915, 1648, 2833, 3374, 4624, 5534, 7124, 7865, 555, 2106, 3064, 4071, 4624, 5901, 6988, 8223, 555, 1648, 3021, 3391, 5159, 5550, 6584, 7664, 4, 2 ]

[ 1, 65, 48, 5, 43, 14, 78, 5, 28, 45, 54, 5, 62, 17, 66, 44, 55, 5, 51, 76, 11, 52, 16, 66, 47, 78, 5, 44, 54, 66, 73, 5, 30, 39, 75, 44, 30, 5, 5, 3, 201, 2017, 2806, 4174, 4704, 6139, 6752, 8147, 915, 2111, 3021, 3914, 4512, 5892, 6584, 8126, 555, 2111, 3021, 3566, 5159, 6205, 6794, 8196, 915, 1974, 2806, 3391, 5007, 5219, 6996, 7485, 488, 2017, 3117, 3893, 4798, 5241, 7077, 7766, 118, 1597, 2839, 4096, 4387, 5515, 6921, 7677, 334, 1633, 2729, 4096, 5079, 5534, 6589, 8236, 334, 1286, 3133, 3171, 4611, 6137, 6757, 8260, 334, 1286, 2468, 3183, 4387, 5339, 6504, 7442, 568, 2013, 2468, 4125, 4926, 6062, 6360, 8209, 397, 1932, 2315, 3272, 4844, 6149, 6873, 7662, 937, 1553, 2669, 3918, 4423, 5958, 6265, 7549, 850, 1889, 2298, 3363, 4231, 5538, 7133, 7693, 902, 1382, 2327, 3484, 4376, 6157, 7019, 7542, 722, 1842, 2380, 3513, 4278, 5935, 6683, 7862, 880, 1971, 2162, 3282, 5142, 5552, 6251, 7790, 902, 1410, 2147, 3291, 5190, 6004, 6696, 7480, 722, 1628, 2454, 3832, 5085, 5413, 6720, 7447, 722, 1871, 2659, 3977, 4840, 5297, 6548, 8069, 901, 1326, 3063, 3686, 5095, 5792, 7158, 7312, 1014, 1923, 3037, 4128, 4392, 5424, 6535, 8054, 1014, 1717, 2904, 3647, 4916, 5581, 6252, 7291, 684, 2097, 2326, 4115, 4586, 6007, 6702, 7421, 956, 1992, 2783, 4085, 5053, 5219, 6709, 7641, 914, 2063, 2783, 4071, 5061, 6211, 6979, 8185, 818, 1933, 2746, 4114, 5104, 6081, 7077, 7949, 935, 1528, 3095, 3645, 5106, 5968, 6988, 7876, 1020, 1791, 2387, 3591, 4816, 6184, 6614, 7865, 808, 1930, 2724, 3915, 4983, 5276, 6513, 8061, 137, 1889, 2147, 3371, 5081, 5591, 6804, 8063, 856, 1938, 2687, 3495, 4788, 6010, 6981, 8006, 582, 1315, 2856, 4128, 4443, 6067, 6830, 7500, 391, 1541, 2636, 4128, 4813, 6050, 7012, 7532, 392, 1770, 2693, 3952, 4985, 5981, 7003, 8107, 335, 1244, 3051, 3256, 5127, 6065, 6899, 7341, 1033, 1244, 2677, 4082, 4776, 5537, 6371, 8267, 940, 1797, 2710, 3918, 5161, 5730, 6579, 8126, 684, 1620, 2960, 3918, 4630, 6205, 6898, 7664, 914, 2107, 2998, 3866, 4630, 5832, 6979, 8066, 956, 1945, 2925, 3188, 5061, 6129, 7010, 8185, 510, 1804, 2925, 3982, 5058, 5687, 6972, 7723, 865, 1736, 2720, 3660, 4793, 6120, 6967, 7837, 579, 1370, 3099, 3870, 5175, 5873, 6740, 7256, 1064, 1503, 3060, 3879, 4611, 6084, 6258, 7361, 1036, 1328, 3151, 3480, 4504, 5530, 6791, 8151, 664, 1248, 2170, 3249, 4590, 5475, 7104, 7532, 137, 1826, 2891, 3504, 4577, 6135, 7037, 7289, 552, 1333, 2729, 3232, 4925, 5610, 6231, 7487, 103, 1509, 2271, 4026, 4745, 5221, 6677, 8205, 545, 1411, 3006, 3566, 5075, 5600, 6870, 7389, 545, 1189, 3018, 3373, 4522, 6086, 7052, 7609, 582, 1761, 2593, 4096, 4381, 6167, 6944, 7508, 582, 1141, 2940, 3991, 5031, 5503, 6642, 8169, 391, 1674, 2846, 3570, 4918, 6050, 6830, 7680, 767, 1770, 2946, 3918, 4228, 5294, 6870, 7799, 223, 1669, 2429, 3731, 5073, 5260, 6482, 7870, 731, 1640, 3054, 3756, 5164, 5944, 6832, 8185, 767, 1847, 2865, 3975, 4985, 5413, 7160, 7794, 1047, 1363, 3092, 3771, 4305, 6211, 7207, 7676, 684, 1594, 2746, 3440, 4215, 6146, 6988, 8066, 804, 1992, 2957, 4171, 5038, 6129, 7132, 7876, 501, 1770, 2532, 3849, 4307, 5762, 6518, 7672, 967, 1508, 2880, 3848, 4870, 6182, 7213, 8185, 153, 1218, 2971, 3540, 4918, 6147, 7101, 8080, 967, 1963, 2991, 4106, 4387, 5832, 6771, 7919, 899, 1931, 3128, 3914, 5115, 5630, 6972, 7290, 955, 1175, 2503, 3557, 4501, 6120, 6361, 7658, 1067, 1120, 2981, 4085, 4356, 5220, 6543, 7810, 728, 1633, 2581, 3400, 4760, 5473, 7007, 7881, 494, 1356, 2286, 3475, 4585, 5654, 6570, 7670, 768, 1522, 2455, 3414, 4597, 5530, 6929, 7648, 611, 1615, 2409, 3577, 4253, 5244, 6716, 7767, 1021, 1633, 2835, 3577, 4281, 5249, 6339, 8052, 203, 1852, 2137, 3263, 4693, 5234, 6326, 8142, 203, 1251, 2764, 3651, 4807, 6102, 6682, 8186, 722, 1463, 2541, 3659, 4238, 5681, 6532, 8150, 1024, 1826, 2541, 3806, 4644, 6135, 7187, 7429, 913, 1838, 2353, 3776, 5124, 5291, 7167, 7919, 1102, 1407, 3150, 3169, 4644, 6064, 6690, 8080, 942, 2095, 3075, 3748, 5088, 5633, 6914, 8222, 1024, 1759, 3075, 3376, 4543, 5609, 6668, 7889, 668, 1755, 2282, 3928, 4787, 5783, 7163, 8224, 1102, 1510, 2339, 3637, 4782, 5880, 6808, 7810, 981, 2118, 2958, 3410, 4861, 5608, 6885, 7919, 1088, 2102, 2897, 4128, 4829, 6159, 6612, 7902, 862, 1834, 2271, 3709, 4716, 5344, 6384, 8195, 1080, 1112, 2710, 3393, 4723, 6147, 6889, 7400, 1080, 1112, 2292, 3570, 5036, 5261, 6889, 7344, 1024, 2008, 2402, 3570, 4620, 5443, 7157, 8021, 582, 2091, 2661, 4096, 4776, 5342, 6734, 8085, 986, 2095, 2874, 3623, 4215, 5573, 6866, 7774, 986, 1776, 2132, 3316, 5169, 6077, 7072, 7544, 448, 1167, 2750, 3623, 4644, 6118, 7128, 7532, 568, 1255, 2387, 4035, 4510, 6065, 6816, 8202, 654, 1296, 2387, 3962, 4321, 5578, 6752, 7809, 518, 1583, 3098, 3341, 4458, 5372, 6860, 7337, 518, 1467, 2924, 3995, 4983, 5578, 7132, 7397, 317, 1265, 2238, 3776, 4855, 5368, 7041, 8225, 767, 1938, 2826, 3970, 4727, 6067, 6830, 8006, 611, 1541, 2332, 4085, 4762, 5705, 6350, 7904, 1036, 1112, 2332, 4155, 4776, 5257, 6838, 7648, 862, 2090, 2332, 3475, 5026, 5344, 7127, 7658, 1080, 1668, 2302, 4130, 4298, 5417, 6511, 7655, 668, 1281, 2302, 3605, 4632, 5715, 6458, 8129, 725, 2102, 3097, 4073, 4592, 5218, 6551, 7805, 752, 1994, 2659, 3248, 5050, 5929, 7017, 7936, 401, 1402, 3098, 4162, 4287, 5705, 6786, 8126, 401, 1692, 2349, 3595, 4533, 6195, 6979, 7959, 390, 2001, 2638, 3866, 4993, 5677, 6771, 8179, 390, 1915, 2454, 3550, 5160, 5216, 7010, 7992, 568, 1370, 2886, 3334, 4571, 5536, 6698, 7494, 572, 1915, 2992, 3261, 5167, 5555, 6680, 7383, 759, 1280, 2188, 4126, 5160, 6044, 6614, 7880, 725, 2047, 2346, 3582, 4846, 5984, 6334, 8205, 271, 2059, 2419, 4166, 4611, 6113, 6633, 7488, 1101, 1637, 2436, 3710, 4722, 6208, 6719, 7442, 613, 1763, 2918, 3776, 4983, 5590, 7043, 7501, 779, 2052, 2900, 3832, 5061, 5873, 6709, 8061, 684, 1554, 2729, 3671, 4215, 5580, 7239, 7664, 304, 1707, 2560, 3671, 5159, 5340, 7084, 7959, 304, 1707, 2560, 3391, 5104, 5749, 6589, 8076, 684, 1945, 2980, 3987, 5142, 5586, 6677, 7887, 886, 1695, 2414, 4064, 4282, 5677, 6740, 7333, 862, 1167, 2327, 4128, 4541, 5377, 6734, 7588, 862, 1164, 2282, 3517, 4672, 5847, 6811, 8055, 1101, 1580, 2785, 3727, 5100, 5492, 6277, 7423, 363, 1550, 2867, 3878, 4804, 5289, 7135, 7612, 487, 1320, 2867, 3497, 4913, 5917, 6655, 7545, 545, 1494, 2799, 4103, 4351, 5257, 6343, 8055, 807, 1834, 3116, 3442, 5096, 5643, 6905, 7509, 487, 1393, 2154, 3733, 4670, 5483, 6657, 7774, 884, 1948, 2553, 4102, 5184, 5224, 6357, 7533, 386, 1808, 2222, 3363, 4335, 5751, 6982, 7955, 150, 1684, 2565, 4027, 5151, 5536, 6224, 7629, 610, 1512, 2340, 3201, 4589, 5536, 7098, 7587, 610, 1141, 2688, 3564, 5140, 5650, 6235, 7870, 150, 1141, 2688, 4027, 5080, 5209, 6504, 7579, 1057, 1630, 2440, 4166, 4215, 6031, 6426, 7962, 884, 1158, 2741, 4155, 4573, 6050, 6626, 7816, 725, 1557, 2313, 3405, 5134, 6058, 6426, 7927, 249, 1507, 2242, 3719, 5052, 6118, 6701, 7583, 1023, 1845, 2271, 3711, 4510, 5602, 6763, 7509, 363, 1286, 2424, 3711, 4734, 6117, 6642, 7787, 1084, 1349, 2389, 3904, 4421, 5927, 6549, 7590, 512, 1919, 3033, 3546, 4470, 5904, 7111, 7908, 308, 2000, 3008, 3870, 4925, 5590, 6377, 8260, 617, 1248, 2818, 3807, 4762, 5765, 6348, 7934, 288, 1695, 2419, 4151, 5007, 5865, 7132, 7716, 956, 2000, 2730, 3945, 5159, 5963, 6584, 7949, 818, 1998, 3117, 4018, 4798, 6129, 7207, 7723, 818, 2046, 2991, 4071, 5080, 6129, 7201, 8223, 555, 1623, 2833, 3827, 4512, 5534, 7201, 7641, 617, 1695, 2709, 3886, 5160, 5643, 6772, 7716, 617, 1623, 2239, 3799, 5058, 5719, 6525, 7715, 617, 1695, 2971, 3348, 4789, 5978, 6632, 7913, 617, 1490, 2833, 3518, 4513, 5586, 6604, 7906, 617, 1490, 3064, 3518, 5138, 5296, 6688, 7906, 617, 2111, 2542, 3770, 4423, 5493, 6810, 8236, 617, 2111, 3064, 3770, 5159, 5580, 6810, 7948, 617, 1496, 3143, 3799, 5143, 5719, 7069, 7811, 484, 1974, 3143, 3518, 5007, 5730, 6968, 7732, 484, 1490, 3143, 3518, 4681, 5811, 6331, 7303, 337, 1833, 2970, 3512, 4762, 5534, 6408, 7949, 4, 2 ]

[ 1, 31, 39, 5, 76, 35, 5, 16, 42, 33, 54, 5, 44, 54, 5, 31, 16, 5, 57, 62, 16, 54, 5, 64, 48, 5, 5, 3, 488, 1648, 3117, 3367, 4704, 6149, 6889, 8147, 789, 1750, 2593, 3932, 5088, 5493, 6607, 7563, 955, 1579, 2771, 4037, 4344, 5565, 6757, 8260, 1035, 1771, 2912, 3987, 5088, 5620, 7058, 7393, 887, 1255, 3092, 4151, 4936, 5832, 7090, 8103, 1037, 2063, 2975, 3826, 4912, 5700, 6584, 7631, 683, 1826, 2720, 3490, 4181, 5553, 6657, 8205, 1074, 1459, 2282, 3678, 4302, 5512, 6377, 7702, 883, 1754, 2589, 3426, 4292, 5512, 6237, 7389, 462, 1442, 2448, 3741, 4467, 6119, 6706, 8178, 896, 1550, 2384, 3884, 4288, 5863, 7224, 8211, 1023, 1806, 2311, 3316, 4419, 5257, 6927, 7298, 540, 1806, 2678, 4175, 4665, 5361, 6569, 8005, 386, 1210, 2402, 4102, 5124, 5991, 6800, 7980, 1011, 1682, 2282, 4082, 4816, 5601, 6975, 7980, 643, 2061, 2876, 3427, 4650, 5802, 6978, 8218, 110, 1982, 2137, 3378, 4912, 5873, 6633, 8178, 537, 1592, 2137, 3540, 4447, 5605, 6587, 7408, 970, 1499, 2198, 3856, 4801, 6123, 7084, 7677, 223, 1280, 2363, 3352, 5053, 5314, 7157, 8036, 678, 1318, 3144, 3420, 4558, 5227, 6901, 8213, 643, 1581, 2300, 3176, 5079, 5984, 7056, 8017, 864, 1281, 2972, 3924, 5141, 6113, 6884, 7641, 864, 1559, 2794, 4102, 4431, 5280, 7227, 8246, 1024, 1937, 3073, 4003, 5196, 5730, 6892, 7800, 547, 1512, 2172, 3861, 5020, 6183, 6968, 7634, 938, 1736, 2934, 4036, 5053, 6103, 6466, 7658, 1064, 1415, 2878, 4122, 5017, 5545, 6923, 7405, 948, 1453, 2227, 4155, 4792, 5903, 7109, 7488, 938, 1373, 2716, 3578, 4493, 6054, 7160, 7957, 277, 2059, 3073, 4138, 4288, 6216, 7169, 7837, 1019, 1912, 2436, 3894, 4226, 5379, 6458, 7634, 620, 1171, 2693, 3649, 5005, 5393, 6832, 7305, 668, 1227, 2282, 3380, 5022, 5600, 6334, 8040, 547, 2118, 2152, 3631, 4531, 5560, 6529, 7409, 804, 2020, 2783, 3973, 4441, 5824, 7160, 7563, 304, 1935, 2803, 3990, 4276, 5705, 6515, 7658, 211, 1280, 2783, 4151, 4289, 5216, 6979, 7887, 211, 1581, 2241, 3201, 4896, 6131, 6771, 7677, 211, 1881, 2678, 3710, 4763, 5493, 6967, 7965, 684, 1700, 2783, 3975, 4622, 6129, 7132, 7806, 779, 1330, 2946, 3188, 4287, 5573, 7010, 7494, 397, 2091, 2901, 4089, 4402, 6181, 7114, 7602, 845, 1674, 3037, 3714, 4225, 5417, 6422, 8254, 807, 1779, 2867, 3860, 4179, 5656, 6476, 7815, 234, 1948, 2282, 3172, 5084, 5441, 7116, 7978, 363, 1550, 2132, 3270, 4494, 5414, 7072, 7542, 234, 1776, 2432, 3329, 4711, 5710, 6295, 8087, 725, 1594, 3116, 4146, 4992, 6065, 6689, 8061, 923, 1393, 3029, 3952, 4257, 5924, 6871, 8205, 952, 1753, 3029, 3912, 5194, 6092, 7102, 7953, 884, 1916, 3029, 4070, 4792, 5224, 6612, 7976, 952, 1212, 3029, 3394, 4538, 5631, 6880, 7976, 620, 1700, 2869, 3714, 4474, 5704, 6749, 7758, 641, 1496, 2736, 3361, 4755, 5610, 6458, 7333, 831, 1496, 3095, 3904, 5183, 5832, 7157, 7397, 610, 2090, 2258, 3771, 4849, 5534, 6677, 7476, 1090, 1568, 2439, 3231, 4592, 6108, 6391, 7808, 424, 1989, 2629, 3771, 4603, 5534, 6348, 7952, 663, 1847, 2905, 3842, 4343, 6163, 6551, 8260, 831, 2107, 2970, 3795, 4191, 6164, 6579, 7570, 778, 1141, 2530, 3188, 4743, 5893, 6348, 7687, 850, 1182, 2868, 3407, 4529, 5978, 6740, 7966, 778, 1540, 3109, 3192, 4784, 6042, 6702, 8209, 850, 1116, 2979, 3634, 4224, 5771, 6710, 7248, 1057, 1177, 2751, 3177, 4274, 5810, 6870, 7557, 293, 1932, 2751, 3766, 4833, 5454, 6504, 7536, 639, 1293, 2959, 3940, 4364, 5566, 6388, 7617, 862, 1424, 3116, 3463, 4512, 5902, 6963, 8255, 639, 1789, 3094, 3671, 4949, 5624, 6592, 7902, 776, 2111, 2291, 3690, 4729, 5276, 6529, 7911, 405, 2111, 3007, 3596, 4456, 6086, 6810, 8156, 1097, 1992, 2959, 3374, 5115, 5834, 6584, 8083, 186, 1620, 2959, 3710, 4870, 5963, 7218, 8093, 488, 1791, 3007, 3891, 4888, 5705, 7239, 8147, 488, 2017, 3110, 3188, 5058, 5832, 7132, 7806, 818, 1508, 3128, 3893, 5104, 6129, 6794, 7949, 956, 2046, 2957, 4018, 4870, 5241, 6996, 8179, 915, 1218, 2806, 3914, 5058, 6182, 7226, 7723, 555, 1623, 2806, 4011, 4681, 5515, 7077, 7485, 915, 1623, 3110, 3827, 4583, 5705, 7239, 8261, 555, 1147, 3064, 3893, 4512, 5705, 7207, 8223, 555, 1147, 2970, 3803, 4583, 5981, 6584, 7485, 915, 1528, 3021, 3516, 4387, 6129, 7120, 8083, 915, 2017, 3021, 3893, 4798, 6139, 7077, 7717, 488, 1622, 3065, 3825, 4704, 6139, 6794, 7766, 488, 2017, 2164, 3893, 4624, 6139, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1648, 3065, 3367, 4798, 6186, 7077, 8223, 789, 2034, 3098, 4092, 5088, 5586, 7043, 7706, 962, 1640, 2466, 3806, 4541, 5533, 7039, 7634, 1004, 1570, 2384, 3329, 4929, 6135, 7087, 8046, 882, 1350, 2688, 3356, 4539, 5971, 6625, 8045, 623, 1832, 2474, 3225, 4321, 5972, 6267, 7378, 752, 1944, 2282, 3327, 4440, 5684, 6492, 8263, 1025, 2104, 2387, 3756, 4501, 5485, 6870, 7393, 778, 1878, 2750, 3870, 4372, 6130, 6614, 8206, 104, 2107, 2429, 3271, 5193, 5357, 6625, 7800, 826, 1676, 2282, 3870, 4536, 5523, 6465, 7799, 831, 1700, 2429, 4067, 5183, 5641, 7095, 7393, 884, 1794, 2771, 3251, 4604, 5509, 6799, 7264, 986, 1397, 2799, 3251, 4648, 6120, 7063, 7881, 672, 1550, 2415, 3162, 5009, 6136, 7003, 8262, 487, 1577, 2751, 4010, 5072, 6221, 7070, 8146, 986, 1930, 2751, 3631, 4354, 5754, 6903, 7991, 986, 1306, 2595, 4007, 4582, 5764, 6382, 8061, 1081, 1998, 2387, 3917, 4358, 5503, 7049, 7473, 1051, 2024, 2421, 3623, 5088, 5210, 7165, 8102, 935, 1562, 2895, 4145, 4287, 5730, 7162, 7846, 818, 1998, 3110, 3710, 4704, 5678, 7132, 8185, 186, 1623, 2895, 3710, 4980, 5767, 6589, 7949, 427, 1620, 3007, 3909, 5139, 6182, 7162, 7563, 970, 1233, 2444, 3993, 5085, 5543, 7024, 8185, 459, 1469, 2320, 3246, 4460, 5929, 7237, 8040, 83, 1469, 2974, 3243, 4886, 5572, 7057, 7438, 344, 1439, 2894, 3273, 5198, 5512, 6848, 8148, 104, 2089, 2373, 3643, 4406, 5299, 6637, 8232, 850, 1469, 2435, 3978, 4339, 5412, 7191, 7959, 826, 1440, 2800, 3380, 5079, 5288, 6367, 7597, 887, 1316, 2133, 3227, 4901, 6104, 6324, 7588, 1051, 2090, 2534, 4028, 4713, 6025, 6515, 7677, 1097, 1467, 3110, 3803, 5145, 5385, 6972, 8080, 935, 1791, 3128, 3240, 5061, 5635, 7218, 8195, 935, 1998, 2925, 4174, 4822, 6087, 7217, 7631, 555, 1992, 3110, 3886, 5060, 6085, 6709, 8179, 427, 1700, 3065, 3982, 5060, 6103, 7111, 7641, 967, 1218, 2340, 3645, 5106, 6182, 6668, 7641, 171, 1304, 3095, 3870, 4681, 5515, 6717, 7397, 216, 1889, 2352, 3680, 5169, 6024, 7100, 7881, 1033, 1707, 2598, 3175, 4512, 6114, 6859, 8140, 299, 1596, 2503, 3323, 4699, 5512, 6532, 7906, 104, 1773, 2232, 3271, 5124, 5259, 7004, 7838, 1025, 1141, 2771, 3430, 4533, 5344, 6966, 7260, 826, 1255, 2227, 4096, 4203, 5968, 6579, 7799, 1035, 2001, 2357, 3937, 5153, 5700, 6325, 7973, 1025, 1523, 2868, 3912, 4191, 5442, 7008, 7831, 1029, 1773, 2429, 3310, 4458, 5376, 7037, 7641, 887, 1141, 2727, 3949, 4588, 6124, 6809, 7907, 887, 1509, 2656, 3822, 4849, 5952, 6813, 7528, 1081, 2053, 3026, 3932, 4501, 5436, 7152, 8267, 453, 1747, 3098, 4074, 4670, 6175, 7232, 7878, 240, 1971, 2554, 3681, 4321, 5719, 6982, 8012, 518, 2127, 2316, 3719, 4586, 5678, 7129, 8262, 568, 2111, 2316, 4113, 4654, 6217, 6371, 8213, 654, 2106, 3026, 3908, 5053, 5963, 7090, 7870, 654, 2097, 2340, 3891, 4512, 5650, 6612, 7477, 518, 1645, 2791, 4006, 5151, 6097, 6657, 7715, 518, 2127, 2473, 3595, 4611, 5515, 6889, 7631, 518, 2127, 2669, 4068, 5120, 6149, 7132, 7732, 518, 2127, 3139, 3564, 4859, 5296, 7129, 7706, 518, 1756, 2554, 3413, 5165, 5677, 6584, 7677, 183, 1684, 2971, 3891, 4888, 6157, 6579, 8179, 1091, 1807, 2895, 3990, 4546, 5396, 7152, 7336, 492, 1363, 2262, 3943, 4966, 5221, 6376, 7612, 936, 1918, 2415, 3500, 4358, 5509, 6974, 7794, 936, 1255, 2288, 3968, 4927, 5341, 6773, 7744, 487, 1403, 3029, 3423, 5114, 5444, 7096, 7823, 986, 1700, 3029, 3811, 4620, 5304, 6691, 7435, 839, 1289, 2767, 3770, 4807, 5631, 6466, 7576, 831, 1388, 2601, 3882, 4670, 5276, 6799, 7954, 103, 1138, 2987, 3801, 4437, 5200, 6772, 7983, 715, 1566, 2444, 3500, 4945, 5719, 6348, 7683, 103, 1399, 2345, 3410, 4437, 5727, 7095, 7401, 715, 1834, 2309, 3516, 4344, 6062, 6705, 8238, 288, 1876, 2858, 3770, 4592, 5474, 6932, 8069, 715, 1167, 2309, 3500, 4636, 5776, 7079, 8117, 288, 2034, 2638, 3355, 4437, 5765, 6466, 7288, 103, 1777, 2355, 3500, 4185, 5677, 6348, 7677, 103, 1924, 2309, 3550, 4690, 5796, 6668, 7367, 356, 1707, 2718, 4082, 4775, 6187, 6632, 8262, 288, 1706, 2316, 3963, 5157, 5210, 6698, 7664, 571, 1707, 3021, 3993, 4790, 6164, 6265, 7528, 510, 2034, 2661, 3788, 4727, 5586, 6563, 8209, 510, 1623, 2941, 3305, 5160, 6211, 7132, 8262, 859, 1706, 2683, 3430, 4423, 5844, 6613, 7437, 555, 2068, 2941, 4145, 5138, 6211, 6809, 8083, 915, 1623, 2941, 3914, 4387, 5677, 7124, 7303, 488, 1623, 2781, 3825, 4704, 5635, 7077, 7732, 860, 2017, 2806, 3893, 4704, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7077, 8223, 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, 2164, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 76, 33, 63, 5, 31, 16, 5, 65, 11, 51, 5, 43, 14, 30, 5, 67, 63, 57, 54, 5, 43, 45, 53, 5, 5, 3, 299, 1792, 2491, 3578, 4800, 5512, 7243, 7779, 344, 2059, 2672, 4079, 4497, 6119, 6768, 8039, 1074, 1557, 2436, 3187, 5111, 5454, 6242, 7360, 492, 1726, 2953, 3647, 5100, 5803, 7229, 8124, 113, 2059, 2137, 3949, 5188, 5444, 6578, 7800, 211, 1663, 2207, 3746, 4933, 5814, 6535, 7930, 1090, 1525, 2429, 3394, 4930, 5814, 6443, 7795, 715, 1791, 2944, 3723, 4402, 5914, 6917, 8033, 868, 1881, 2788, 3394, 4385, 5259, 6382, 7788, 840, 1557, 2482, 3483, 4270, 5512, 7063, 7714, 443, 1283, 2292, 3991, 4195, 5370, 6692, 7946, 986, 1388, 2544, 4035, 4384, 6117, 6799, 7402, 256, 1782, 2988, 3298, 4310, 5485, 6237, 7717, 334, 1633, 2717, 4125, 4844, 5557, 7162, 7965, 334, 1633, 2432, 3888, 5075, 5296, 7232, 8206, 225, 2106, 2946, 3993, 4398, 5719, 7047, 7612, 334, 1289, 2729, 4092, 5043, 6048, 7173, 8076, 334, 1633, 2729, 3792, 4737, 6069, 6986, 7508, 568, 1623, 2717, 3904, 4423, 5677, 6426, 7806, 568, 1750, 2287, 4145, 5053, 6110, 7100, 7367, 757, 1623, 2473, 4125, 5053, 5262, 6240, 7706, 967, 1286, 2946, 4093, 5167, 5795, 7041, 8261, 776, 1668, 2238, 3680, 5088, 6110, 6354, 7898, 81, 1689, 2189, 4013, 5137, 5788, 7234, 7279, 283, 2008, 2532, 3268, 4609, 5353, 6780, 7983, 508, 1849, 2309, 3622, 4800, 5202, 6461, 7267, 1067, 2088, 2381, 3332, 4812, 5235, 6854, 8262, 1049, 1770, 2965, 3394, 4718, 5512, 6397, 7778, 776, 1821, 2309, 3693, 5143, 5359, 7166, 7279, 304, 1562, 2326, 3770, 4785, 6085, 6803, 8222, 914, 2041, 2880, 3543, 5079, 5824, 6408, 7768, 552, 2065, 3110, 3904, 5088, 6131, 7060, 7811, 186, 1623, 3135, 4145, 5060, 5705, 6515, 8107, 914, 1623, 3135, 3516, 4630, 6051, 7207, 8147, 165, 1674, 2886, 3908, 4901, 5348, 6998, 8077, 183, 1851, 2839, 3394, 4792, 5438, 6760, 8252, 356, 1773, 3144, 4097, 4189, 6050, 6256, 7555, 1033, 2051, 2327, 3578, 4225, 5844, 6823, 7726, 840, 1434, 2556, 3413, 4501, 5553, 7072, 7750, 610, 1630, 3032, 3298, 4715, 5387, 6900, 7962, 308, 1675, 3056, 4074, 4890, 5419, 6850, 7438, 1099, 1791, 2838, 4085, 4287, 5705, 6972, 7673, 186, 1945, 2991, 3982, 4551, 6182, 6972, 8179, 419, 1304, 2806, 3206, 4870, 6149, 6709, 7658, 518, 1108, 2754, 4007, 5143, 5436, 6607, 7698, 440, 2111, 2473, 3562, 5104, 5367, 6536, 7641, 901, 2111, 3000, 4098, 4638, 5678, 6609, 7475, 489, 2118, 2959, 3754, 4440, 5763, 7218, 7661, 617, 2002, 3062, 4137, 4398, 5220, 6895, 7476, 231, 1403, 2959, 3271, 4901, 5737, 6996, 7383, 160, 1496, 3020, 3680, 4582, 5503, 6578, 7957, 271, 1682, 2552, 4153, 5056, 5239, 6530, 7920, 895, 1225, 2432, 3580, 4776, 5782, 6426, 8227, 895, 1327, 3074, 3793, 4788, 5951, 6839, 8084, 299, 1594, 3074, 3675, 4244, 5927, 6399, 7488, 895, 1582, 2661, 3762, 4205, 5927, 6904, 8018, 104, 1674, 2260, 3536, 4517, 5584, 7007, 8201, 271, 1674, 2247, 4067, 4803, 6145, 6700, 8197, 1025, 1674, 2835, 3284, 4303, 5589, 6269, 7305, 826, 1838, 2627, 3387, 4574, 5615, 6638, 7683, 778, 2036, 2282, 3496, 4182, 6094, 6958, 8061, 104, 1669, 2282, 3590, 5018, 5341, 7125, 7904, 1025, 1141, 2678, 3237, 4364, 5970, 7087, 7927, 424, 1978, 2429, 3910, 4536, 5648, 7114, 7547, 663, 1350, 2946, 3973, 4319, 5641, 6850, 8236, 913, 2053, 2709, 3593, 4981, 5251, 7129, 8080, 103, 2067, 2453, 3391, 5018, 5765, 6740, 7753, 1059, 1140, 2837, 3358, 4433, 5376, 6762, 7367, 103, 1860, 2601, 3765, 4270, 5665, 6414, 7528, 614, 1706, 2751, 3975, 4297, 5443, 6260, 7547, 492, 1942, 2288, 3806, 4636, 5321, 6243, 8271, 526, 1255, 3029, 3631, 4644, 5745, 6536, 7721, 535, 1985, 3029, 3544, 4926, 5341, 6883, 8060, 535, 1397, 3030, 4073, 4974, 5695, 6466, 7297, 774, 1397, 2156, 3178, 4440, 5810, 6313, 7939, 1005, 1797, 2564, 3963, 5124, 5869, 7039, 7827, 610, 1671, 2688, 3634, 4983, 5228, 7098, 8193, 1033, 1943, 2503, 3918, 4665, 6073, 6830, 7555, 1090, 1146, 2946, 3955, 4966, 5765, 7157, 8227, 610, 1238, 2946, 3616, 4592, 5641, 7030, 7557, 1090, 1363, 2783, 3642, 4226, 6063, 7207, 8078, 510, 1945, 2534, 3188, 4366, 6195, 7084, 7602, 804, 1620, 2880, 3945, 4888, 6205, 7090, 8076, 818, 2000, 2781, 3710, 5106, 5705, 7084, 8260, 488, 1791, 3135, 3909, 4782, 6139, 7201, 8147, 818, 1620, 2833, 4018, 4798, 6211, 7239, 8147, 859, 1695, 3062, 3487, 4859, 5677, 6709, 8237, 105, 1684, 3147, 3891, 4681, 5901, 6604, 7485, 105, 1684, 2875, 4006, 4790, 5892, 6671, 8261, 617, 1695, 3143, 3359, 5157, 5413, 6889, 7602, 105, 2106, 2839, 3596, 5128, 5586, 6840, 8102, 4, 2 ]

[ 1, 28, 17, 66, 5, 43, 48, 5, 76, 11, 78, 5, 14, 78, 5, 30, 33, 63, 44, 55, 5, 16, 54, 30, 5, 29, 45, 63, 41, 16, 52, 5, 14, 78, 5, 33, 75, 35, 5, 5, 3, 142, 2017, 2914, 3825, 4704, 6211, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 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, 7226, 8223, 488, 1622, 3065, 4018, 4798, 5612, 6794, 7766, 955, 1668, 3128, 3945, 4366, 5832, 6302, 7631, 459, 1948, 2139, 3770, 4444, 6065, 7035, 7732, 616, 1704, 2667, 3413, 4529, 5558, 7223, 7524, 247, 2059, 2559, 4037, 4818, 6176, 6431, 7689, 1052, 1346, 2487, 3745, 5134, 6089, 6476, 7674, 715, 1349, 2508, 3929, 5050, 5825, 6540, 7488, 256, 2008, 2272, 3309, 4228, 5264, 6768, 7693, 256, 1367, 3063, 3374, 4255, 5360, 6663, 7811, 757, 2021, 2980, 3869, 4186, 5656, 6804, 7641, 231, 1186, 2669, 4067, 4582, 5826, 6371, 8156, 650, 1289, 2945, 4043, 4556, 5294, 6998, 8213, 986, 1978, 2346, 3224, 4868, 5441, 6820, 7524, 807, 1335, 2346, 3518, 4415, 5425, 6840, 8117, 545, 1350, 2346, 4154, 4860, 5828, 7135, 7482, 1025, 1954, 2748, 3337, 4949, 5665, 7019, 7614, 610, 1732, 2895, 4151, 4226, 5443, 6224, 7908, 424, 1306, 2436, 3832, 5074, 5493, 6725, 7545, 887, 1850, 2693, 4103, 4592, 6014, 6816, 7735, 1090, 1146, 3143, 4152, 4287, 6123, 6302, 7768, 610, 1399, 3140, 3220, 4859, 5485, 6620, 7570, 610, 2048, 2493, 4085, 4859, 5968, 7207, 7863, 150, 1833, 2381, 4168, 5164, 5695, 6968, 7419, 887, 1477, 2678, 3950, 4376, 5731, 6980, 7367, 895, 1596, 2486, 3751, 4665, 5442, 6287, 8012, 807, 1119, 3089, 3245, 4440, 5734, 6820, 7968, 844, 1335, 2401, 3356, 4181, 5810, 7044, 7488, 317, 1832, 2961, 3372, 5072, 6118, 7215, 8216, 225, 1421, 3046, 3962, 4775, 5561, 6704, 8117, 228, 1403, 3043, 3217, 4881, 5790, 6413, 7349, 317, 2125, 2826, 3511, 5089, 5767, 6762, 8237, 756, 1773, 2500, 3955, 4934, 5865, 6755, 7962, 891, 1541, 2404, 4074, 5157, 5449, 6998, 8267, 150, 1248, 2836, 3395, 4855, 5727, 6663, 7457, 761, 2118, 2951, 3728, 5072, 5594, 6899, 7627, 150, 2118, 2567, 3623, 4205, 5603, 6614, 7659, 150, 2118, 2567, 3623, 4586, 5810, 6498, 7878, 887, 1832, 2678, 3356, 4789, 5560, 6896, 7778, 1090, 1946, 2572, 3796, 4954, 5886, 6995, 7259, 576, 2055, 3029, 3941, 4677, 5921, 6753, 8230, 576, 1323, 3116, 3230, 4454, 5608, 6369, 8117, 317, 1821, 2880, 4166, 4321, 5527, 6744, 7913, 899, 2107, 3101, 3487, 4881, 5438, 7120, 8267, 308, 1747, 3062, 3516, 4954, 5978, 7047, 8083, 684, 1508, 3098, 3602, 5088, 6128, 6752, 7716, 709, 1508, 2433, 3917, 4549, 5216, 6612, 7782, 684, 2046, 2947, 4068, 5104, 6195, 6996, 7421, 1056, 2125, 2806, 3982, 5061, 6211, 6988, 8237, 684, 2046, 2838, 4166, 5166, 6063, 7237, 8267, 390, 2063, 2895, 3710, 5058, 5216, 7077, 8185, 308, 1218, 3006, 4108, 5104, 5883, 6988, 8260, 756, 2046, 2970, 3595, 5085, 6002, 7058, 7383, 927, 1708, 2830, 3922, 5123, 5709, 6569, 7869, 535, 1695, 2990, 3455, 4995, 6132, 7181, 7248, 1040, 2036, 2751, 3517, 4702, 6005, 7183, 7393, 994, 1808, 2693, 4007, 4914, 5384, 6639, 7904, 137, 1942, 2693, 4164, 4604, 6117, 6328, 8188, 876, 1753, 2327, 3555, 4604, 5943, 7053, 7608, 992, 1397, 2626, 3513, 4359, 5549, 6520, 7660, 807, 1110, 2316, 4110, 4351, 5924, 7043, 7659, 1038, 1732, 2313, 3356, 4949, 5653, 7181, 7976, 1084, 2036, 3091, 4007, 5152, 6187, 6280, 8050, 113, 1608, 2720, 4137, 4966, 5503, 7023, 7683, 1057, 1472, 2708, 4037, 4705, 5755, 6806, 7911, 981, 1835, 2348, 3832, 4459, 6010, 6547, 8205, 692, 1510, 2610, 3468, 4776, 6119, 6242, 8117, 1057, 1758, 2688, 3332, 4205, 6078, 6927, 7852, 1084, 1323, 2559, 3771, 4920, 5926, 6474, 7773, 1011, 1139, 2432, 3578, 5125, 5874, 6858, 7973, 913, 1821, 2905, 3423, 4641, 6012, 6610, 7918, 1011, 1171, 2267, 3792, 5083, 6052, 6849, 7481, 887, 1477, 3026, 4153, 5041, 5978, 6808, 8026, 271, 1758, 2222, 3273, 5056, 5794, 7220, 7536, 271, 1640, 2775, 4083, 4777, 5904, 6611, 7350, 1025, 1510, 2239, 4083, 5153, 5889, 6272, 7286, 610, 1186, 2741, 3824, 4521, 5793, 7166, 8085, 986, 1499, 2327, 4007, 5052, 5257, 7033, 8005, 887, 1550, 2974, 4007, 4426, 5366, 7224, 8098, 887, 1550, 2503, 4007, 4555, 5899, 6726, 8107, 1090, 1808, 2895, 3245, 4942, 5719, 6335, 7728, 663, 1919, 3061, 3949, 4770, 5381, 7232, 8227, 610, 1238, 2783, 3803, 4276, 5210, 6719, 7764, 887, 1771, 2567, 3604, 5139, 5573, 7112, 7831, 887, 1717, 2946, 3642, 4318, 6195, 7004, 7555, 104, 1550, 2783, 3669, 4933, 5811, 6769, 8018, 807, 2079, 2346, 3440, 4575, 5800, 6868, 7610, 639, 1116, 2534, 3329, 4280, 5874, 6958, 7442, 881, 1938, 2751, 3259, 4800, 5828, 7241, 7727, 868, 1653, 2359, 3688, 4933, 5404, 6426, 7527, 536, 1964, 2798, 3356, 4359, 5285, 6702, 8061, 104, 1918, 3070, 3394, 4880, 5341, 6874, 7519, 1025, 1369, 2332, 3956, 4459, 5761, 6691, 7463, 610, 1809, 2357, 4078, 4859, 5725, 6239, 7996, 610, 1771, 2924, 4078, 4334, 5491, 7222, 8080, 1081, 2048, 3101, 3793, 4720, 6171, 7023, 7976, 1090, 1700, 2797, 4115, 4536, 6063, 7111, 7717, 804, 1915, 2936, 4115, 5106, 6205, 7220, 7641, 105, 1974, 2802, 4026, 4981, 6129, 6828, 8266, 225, 1706, 2701, 3886, 4898, 6065, 6671, 8078, 225, 1564, 2282, 3993, 4641, 5811, 6717, 7611, 225, 1623, 2718, 3364, 4762, 5296, 7197, 7939, 334, 1958, 2339, 3236, 5147, 5246, 6435, 7727, 334, 1496, 2717, 3994, 4859, 5446, 6757, 7961, 568, 1958, 2554, 3562, 4638, 5341, 6844, 7961, 757, 1112, 2833, 4168, 5179, 5327, 6750, 7276, 757, 1633, 2287, 4096, 4863, 5719, 7120, 8098, 859, 1961, 2970, 4145, 5167, 5609, 7065, 7778, 401, 1206, 3060, 3955, 5157, 5548, 7173, 7831, 582, 1732, 2910, 4025, 4936, 5743, 6595, 7588, 535, 1732, 3018, 3398, 4321, 5652, 6732, 7773, 535, 1820, 2244, 3644, 4574, 5215, 6224, 7821, 535, 1597, 2987, 3329, 4205, 5886, 6377, 7627, 840, 1510, 2716, 3262, 4937, 5776, 7232, 7962, 404, 1510, 2552, 3578, 4205, 6006, 6493, 7828, 344, 2036, 2440, 4153, 4459, 6136, 6651, 7581, 104, 1189, 2905, 3643, 4824, 6201, 6740, 7973, 1025, 1770, 2905, 3307, 4369, 5944, 6957, 8092, 424, 1463, 2971, 3307, 4361, 5347, 6763, 8179, 256, 1116, 2389, 3424, 4423, 5303, 6967, 7706, 518, 1700, 2760, 3364, 4512, 5638, 7242, 7641, 518, 1620, 3130, 3873, 4387, 5493, 7149, 7702, 518, 1871, 3147, 4150, 4374, 5436, 6607, 7918, 256, 1490, 3006, 3391, 4622, 6110, 7019, 8130, 617, 2064, 2473, 4166, 5145, 5219, 6752, 7336, 967, 1874, 3147, 3803, 5164, 6187, 6566, 8267, 304, 2088, 2998, 4114, 5073, 5305, 6776, 7563, 386, 1318, 2439, 4087, 4387, 6114, 6716, 7901, 1067, 1582, 2419, 3345, 4567, 5413, 6426, 7923, 271, 2070, 2173, 3193, 4687, 5562, 6874, 7772, 807, 2019, 2173, 3444, 4539, 5584, 6456, 7857, 104, 1199, 3097, 3392, 4470, 5360, 7117, 7318, 895, 1440, 2587, 3793, 4427, 5944, 6283, 8117, 887, 1682, 2137, 3822, 4310, 5475, 6820, 7873, 465, 1721, 2137, 3233, 4761, 6107, 7103, 8104, 150, 2048, 2678, 3356, 5001, 5656, 6872, 7367, 884, 1346, 3074, 3892, 4724, 5313, 6370, 7823, 536, 1706, 2765, 3611, 4545, 5926, 6764, 7516, 536, 1706, 2241, 4007, 4784, 5709, 6881, 7559, 536, 1771, 2503, 4015, 4434, 5496, 7057, 7990, 613, 1919, 2846, 3746, 4251, 5507, 6915, 8212, 228, 1821, 2389, 3588, 4541, 5706, 7232, 7254, 654, 1534, 3139, 3936, 4788, 5397, 6809, 8061, 127, 1930, 3133, 3795, 4627, 6208, 6338, 8210, 127, 1756, 2554, 3456, 4617, 5689, 6870, 7557, 715, 1265, 3098, 3838, 4576, 5438, 6749, 7641, 1033, 1557, 2903, 3908, 4215, 6077, 7025, 7906, 840, 1283, 2974, 3356, 4288, 5823, 6528, 7624, 943, 1826, 2327, 3842, 4571, 5633, 6657, 8100, 964, 1283, 3076, 4007, 4734, 5835, 7191, 7995, 221, 2036, 3076, 3765, 4541, 6088, 6581, 8015, 492, 1703, 2731, 4007, 4678, 5492, 6554, 8113, 113, 1704, 2378, 3543, 4812, 5308, 7142, 8246, 1057, 2059, 2273, 4126, 4773, 5818, 6906, 7581, 512, 1587, 3150, 3866, 4651, 5294, 7207, 7831, 256, 1455, 2473, 4098, 5129, 5873, 6776, 7997, 489, 1953, 2695, 4027, 5153, 5763, 6607, 7714, 952, 1660, 3000, 3827, 5153, 5534, 6419, 7386, 895, 1886, 2971, 4073, 4484, 6050, 6872, 7767, 665, 1828, 2460, 3957, 5187, 5297, 6536, 8063, 404, 1108, 2432, 4091, 4842, 5512, 6985, 8058, 880, 1454, 2432, 4070, 5071, 5344, 6335, 7384, 730, 1108, 2432, 3520, 4731, 5460, 6890, 7869, 862, 1800, 2930, 4073, 5111, 5468, 6762, 7510, 665, 1489, 2741, 3177, 4791, 5965, 6313, 7817, 404, 1653, 2741, 4007, 5137, 6114, 6966, 8052, 113, 1496, 2593, 3634, 5124, 5985, 6775, 8038, 265, 1496, 2470, 3743, 4364, 6135, 6930, 8193, 804, 2111, 2293, 3771, 4792, 6080, 6256, 7888, 552, 1984, 2970, 3593, 4981, 5630, 6694, 7682, 935, 2065, 2834, 3671, 4828, 6085, 7207, 8083, 935, 2017, 3109, 3516, 4622, 5219, 7132, 7485, 935, 1648, 2164, 3982, 4792, 5219, 7201, 8179, 859, 2017, 2858, 3891, 5104, 5241, 6810, 8083, 617, 1496, 2383, 3391, 4993, 6051, 6584, 7643, 617, 1496, 2554, 3595, 4681, 5935, 6688, 7716, 617, 1695, 2959, 4005, 4549, 5308, 6772, 7494, 105, 2106, 2529, 4078, 4780, 6129, 7090, 7768, 617, 2111, 2970, 3391, 5060, 5296, 6717, 7723, 617, 1468, 2775, 4153, 5079, 5296, 6688, 8236, 105, 2106, 3026, 3391, 5060, 5296, 6584, 7732, 105, 2106, 2529, 3723, 5159, 5385, 6752, 8164, 105, 2106, 2833, 4068, 5160, 5901, 6717, 7303, 859, 2002, 2970, 3803, 5160, 5811, 6988, 8076, 105, 2065, 2775, 4171, 5166, 5766, 6996, 7806, 105, 2106, 2833, 3891, 5190, 6137, 6604, 7405, 105, 2106, 2833, 4068, 5130, 5385, 6809, 8083, 4, 2 ]

[ 1, 44, 54, 5, 31, 16, 5, 44, 54, 66, 45, 63, 47, 35, 5, 45, 66, 5, 45, 78, 5, 52, 26, 54, 30, 5, 76, 45, 31, 5, 16, 5, 64, 20, 63, 66, 5, 17, 75, 5, 76, 20, 66, 35, 62, 63, 74, 41, 5, 51, 14, 54, 75, 16, 64, 5, 5, 3, 201, 2017, 2914, 3825, 4704, 6211, 7077, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 419, 1623, 2729, 4113, 4622, 5241, 7124, 7723, 789, 1653, 2946, 3798, 4716, 5678, 6604, 7477, 962, 1732, 2346, 3452, 4804, 5366, 6978, 8128, 830, 1164, 2929, 3329, 4671, 5298, 6625, 8197, 1058, 1283, 2667, 3224, 4702, 5455, 6626, 7889, 535, 1979, 2902, 3765, 4929, 5603, 7227, 8044, 778, 1225, 2207, 3649, 4679, 6005, 7219, 7435, 1033, 1239, 2661, 3314, 4536, 6142, 6900, 7518, 104, 1773, 2440, 3593, 4966, 5974, 6485, 7794, 1025, 1850, 2436, 3201, 4966, 5478, 6961, 7555, 1025, 1238, 2436, 3968, 4930, 5952, 6286, 8083, 610, 1238, 2440, 3936, 4582, 5668, 7207, 7582, 887, 1978, 2946, 4096, 4691, 5506, 7207, 7895, 870, 1283, 2553, 3714, 4261, 5384, 6550, 8088, 1040, 1118, 2751, 3764, 4616, 5930, 6869, 7878, 986, 1808, 2794, 3417, 4350, 6045, 6609, 7962, 487, 2079, 2678, 3476, 4934, 6084, 7143, 7488, 986, 1357, 2346, 3811, 4663, 5937, 6442, 7869, 582, 1653, 2610, 3593, 4688, 5304, 6303, 7539, 806, 1388, 2692, 3741, 4474, 5353, 6225, 7704, 646, 2008, 2346, 3634, 4448, 5341, 6856, 8124, 535, 1550, 3029, 3372, 4298, 5640, 6910, 7823, 862, 1397, 2938, 3356, 4209, 5827, 6985, 7924, 936, 1349, 2396, 3623, 4539, 5734, 6885, 7920, 930, 1541, 2129, 3284, 4887, 5745, 6425, 7793, 408, 1459, 2881, 3536, 4556, 5370, 6908, 7862, 850, 1821, 2314, 3183, 5171, 5899, 6870, 7906, 778, 1255, 2563, 3533, 4365, 5968, 6254, 7648, 1090, 1510, 3106, 3300, 4972, 5205, 7157, 7975, 390, 1886, 2895, 3803, 5129, 5573, 6584, 8047, 1099, 1623, 2996, 3932, 4861, 6182, 6752, 7421, 276, 2034, 2886, 4047, 5115, 5301, 7157, 8102, 195, 1550, 2724, 3574, 4606, 5436, 6371, 7743, 334, 1185, 2595, 3596, 4839, 5580, 7053, 8260, 757, 1147, 2895, 3994, 5079, 5755, 7065, 7355, 356, 1519, 2432, 4125, 4622, 5364, 6972, 7716, 844, 1906, 2783, 3771, 4225, 5802, 6603, 8079, 1062, 1944, 2601, 3709, 4181, 6074, 6348, 7754, 650, 1545, 2601, 3214, 4278, 5616, 6910, 7614, 862, 1397, 2655, 3822, 4582, 5782, 6663, 8117, 672, 2095, 2242, 3751, 4629, 5706, 6622, 7490, 1040, 1118, 2751, 3939, 4213, 5307, 6883, 7651, 974, 1942, 2762, 3559, 5091, 5216, 6789, 8234, 803, 1586, 2258, 3690, 4565, 5739, 7112, 7365, 862, 1653, 2378, 3562, 4831, 6198, 6850, 7657, 1080, 1653, 3049, 3421, 4212, 6221, 6932, 7939, 547, 1202, 2440, 3356, 4804, 5965, 6764, 7982, 641, 1821, 2440, 3526, 5111, 5582, 6720, 8137, 938, 1736, 2432, 3459, 4829, 5898, 6625, 8094, 569, 1139, 2432, 3571, 5072, 5888, 6506, 7373, 1080, 1932, 2196, 3815, 4621, 5529, 6446, 7889, 487, 1349, 2470, 3687, 4576, 5377, 7223, 8017, 545, 1586, 2631, 3987, 4801, 5339, 6949, 7657, 495, 1223, 2787, 3218, 5124, 5999, 6847, 7952, 825, 1164, 2718, 3764, 4437, 5435, 6434, 8169, 862, 1397, 2601, 3695, 4694, 5384, 6313, 7869, 1080, 1732, 2346, 3352, 4682, 5706, 7142, 8117, 1036, 1881, 2751, 4016, 4578, 5212, 6514, 7442, 137, 1286, 2533, 3751, 5031, 6213, 6483, 7726, 774, 1455, 3029, 3353, 4561, 6117, 7117, 7752, 1041, 1171, 2348, 3855, 4732, 6167, 6984, 7515, 875, 1826, 2271, 3548, 5128, 5621, 6315, 7492, 655, 2118, 2348, 3570, 4586, 5247, 6710, 7803, 1063, 1171, 2221, 4097, 5079, 6009, 6346, 7498, 304, 2118, 2661, 3795, 4449, 5621, 6291, 8170, 804, 2111, 2754, 3990, 5088, 6014, 6776, 7865, 1097, 2111, 3006, 4011, 5129, 5968, 6752, 7421, 935, 2111, 3022, 3188, 4792, 5963, 7084, 7557, 935, 1874, 2989, 4041, 5080, 5241, 7077, 8195, 935, 1791, 3110, 3516, 4980, 6025, 6809, 7876, 552, 1874, 3021, 3866, 4980, 6129, 6810, 7876, 552, 1345, 2833, 3595, 4782, 5901, 6918, 8126, 859, 2078, 2833, 3440, 4387, 5385, 7239, 8236, 105, 2106, 2858, 4071, 5165, 5586, 6579, 7574, 617, 2013, 2941, 4071, 4344, 5223, 6755, 7876, 617, 1695, 3046, 3873, 4536, 6149, 6840, 7838, 105, 1586, 2432, 4168, 5143, 6103, 7140, 8164, 617, 1695, 3021, 3803, 5157, 5764, 6717, 8076, 859, 2127, 2858, 3570, 4870, 6205, 6515, 7303, 859, 1304, 3021, 3374, 4555, 6149, 6809, 7865, 859, 1623, 2970, 3687, 5159, 5276, 6840, 7715, 859, 1648, 2833, 3994, 4762, 6137, 6979, 7806, 859, 1623, 2970, 3596, 4764, 5892, 6734, 8076, 859, 1750, 2970, 3873, 5061, 5548, 6589, 7706, 859, 1289, 3065, 3838, 4387, 5474, 7100, 7806, 201, 1528, 2914, 3825, 4704, 5892, 7207, 7766, 488, 2017, 2806, 3893, 4624, 5892, 6996, 7421, 419, 1528, 2960, 3893, 4555, 5612, 6996, 8262, 256, 2114, 2316, 4145, 4716, 5678, 7012, 8236, 499, 1948, 2346, 3596, 4269, 6177, 6678, 7542, 323, 1692, 2718, 3323, 4367, 5697, 6536, 7954, 994, 1388, 2692, 3741, 4882, 5553, 6409, 7437, 897, 1541, 2692, 3394, 4452, 5262, 6596, 7270, 113, 1695, 3066, 3968, 4501, 5474, 6478, 7387, 487, 1144, 2869, 3165, 5144, 6117, 7007, 7842, 487, 1878, 2332, 3533, 4868, 5366, 6966, 7442, 886, 1771, 2380, 4098, 5197, 5552, 7232, 8106, 807, 1327, 2380, 3341, 4676, 5778, 6808, 8001, 988, 1494, 2865, 3309, 4687, 5588, 6603, 7904, 884, 1905, 3032, 4067, 4773, 5600, 6385, 7914, 1057, 1832, 2380, 4025, 4501, 6168, 6916, 8098, 691, 1421, 3098, 3372, 4321, 5719, 7051, 7750, 639, 2067, 2625, 3789, 4927, 6078, 6412, 7558, 576, 2107, 2871, 3928, 5135, 5218, 6740, 7442, 654, 2041, 2554, 3746, 4364, 6157, 6909, 7252, 518, 1961, 2783, 3254, 4863, 5797, 7087, 8164, 440, 2045, 2718, 3540, 5024, 5723, 6612, 7846, 272, 1707, 3038, 4125, 4310, 6048, 6708, 7948, 980, 1974, 3147, 4067, 4822, 5610, 7111, 7303, 1024, 1199, 2435, 3474, 4319, 5975, 6906, 8132, 547, 1199, 3106, 4036, 4589, 5366, 6715, 7904, 569, 1199, 2974, 3187, 4278, 5408, 7149, 8245, 536, 1919, 3019, 4007, 4337, 6179, 6838, 8087, 876, 1146, 2173, 3626, 5161, 5557, 7092, 7381, 774, 1426, 2348, 3991, 4442, 5849, 6476, 7702, 900, 1897, 3018, 4099, 4506, 5810, 6299, 7803, 774, 1728, 2173, 3232, 4945, 6021, 6343, 8018, 368, 1345, 2757, 3979, 5198, 6178, 6419, 7341, 840, 2105, 2705, 3688, 4542, 5491, 6926, 7542, 840, 1440, 2390, 3988, 5176, 5387, 7122, 7255, 774, 2036, 2325, 3536, 5126, 6002, 6422, 7475, 774, 2036, 2486, 3609, 5066, 6125, 6846, 8129, 1101, 1630, 2956, 3570, 4321, 6034, 6700, 7741, 884, 1732, 2680, 3329, 4845, 5716, 6775, 7683, 271, 1951, 2327, 3785, 4897, 5706, 6836, 7481, 807, 2033, 2316, 3943, 4539, 5954, 7043, 8082, 150, 1561, 3147, 3430, 4683, 6191, 7043, 7622, 610, 1302, 2436, 3801, 4780, 5643, 6393, 7480, 1025, 1777, 2440, 3975, 5018, 6024, 6646, 7557, 643, 1758, 2975, 3410, 4308, 5709, 7184, 7998, 887, 1318, 2793, 3440, 4343, 6025, 6752, 7816, 645, 1318, 2613, 3430, 4870, 6175, 7239, 7398, 940, 1620, 2838, 4150, 4533, 5883, 6584, 7794, 1005, 1468, 3060, 4078, 4718, 5379, 7022, 7262, 386, 1402, 2137, 4151, 5029, 6068, 6684, 7694, 1067, 1503, 3040, 3497, 4337, 5908, 6463, 7957, 386, 1183, 2313, 3233, 5128, 5898, 6592, 7578, 684, 1998, 3150, 4151, 4634, 6181, 6478, 7838, 288, 1407, 2730, 4068, 5054, 5573, 6996, 7677, 756, 1924, 2792, 3983, 4859, 6087, 7129, 8195, 756, 2001, 2473, 3187, 4551, 5863, 6237, 7772, 643, 1523, 2163, 3394, 4603, 6070, 6719, 7889, 840, 1826, 2455, 3579, 4323, 6183, 6254, 7918, 271, 1507, 2869, 3245, 4905, 5800, 6850, 8093, 1059, 1330, 2552, 3552, 4766, 5760, 6716, 8044, 225, 1986, 2156, 3350, 4848, 6110, 6614, 8213, 654, 2061, 2904, 3812, 5083, 5840, 6732, 7563, 654, 1826, 2316, 3376, 4344, 5767, 6607, 8261, 228, 1140, 2287, 3376, 5137, 5536, 7232, 7477, 228, 2111, 2316, 3930, 5138, 5802, 7132, 8261, 225, 1386, 3091, 3277, 4423, 5901, 6632, 7717, 225, 1529, 2221, 3487, 4353, 5385, 7112, 7906, 617, 1468, 2970, 3891, 4513, 6120, 7120, 7476, 948, 1509, 2520, 4005, 4592, 5514, 7071, 8185, 1067, 1865, 2294, 3268, 4708, 5713, 6348, 7750, 386, 1897, 2667, 3554, 4836, 6092, 6798, 8028, 266, 2035, 2861, 3426, 4273, 5311, 7177, 7296, 150, 1778, 2137, 3989, 4314, 5287, 6929, 7604, 271, 1818, 2137, 4115, 4668, 5231, 7221, 7255, 150, 1900, 2678, 4086, 4257, 5205, 6655, 8096, 1029, 1302, 2189, 3467, 4537, 5318, 6811, 7863, 887, 1402, 2946, 3614, 4256, 5295, 6898, 8236, 942, 1520, 2592, 3910, 4966, 5767, 7088, 7485, 610, 1833, 2793, 3921, 4890, 6026, 6871, 7663, 1025, 1736, 2766, 3776, 4982, 6163, 6283, 7481, 271, 1736, 2659, 3563, 5071, 5438, 6852, 7641, 895, 1763, 3075, 3838, 5155, 5890, 6775, 7583, 150, 1324, 2589, 4044, 4792, 5568, 7037, 8251, 1081, 1581, 2939, 3642, 4324, 6123, 6506, 7670, 1056, 1724, 2860, 3401, 4488, 6014, 7211, 7437, 390, 2063, 2860, 3931, 4276, 6120, 6588, 7948, 1056, 1919, 3043, 4135, 4912, 6175, 6918, 7949, 684, 1998, 3064, 4011, 4822, 5892, 7047, 7421, 804, 1675, 2941, 3918, 5080, 6182, 6852, 7706, 684, 1844, 2164, 3710, 4822, 5687, 7132, 8076, 709, 1485, 2523, 4071, 4980, 5892, 7084, 7876, 304, 1939, 2803, 4114, 4287, 6175, 7047, 8103, 750, 2046, 3150, 3676, 5014, 6103, 6936, 7584, 776, 1867, 2783, 3891, 5038, 6181, 7160, 8039, 938, 1897, 2924, 4166, 5011, 5598, 6852, 7816, 1025, 1350, 2239, 3357, 5143, 6009, 6771, 8099, 826, 2089, 2764, 3735, 4652, 5288, 6969, 7768, 1001, 1670, 2636, 3696, 4729, 5376, 6521, 8098, 1067, 1708, 2653, 3880, 4919, 5621, 6263, 7414, 271, 1823, 2452, 3386, 5083, 5585, 6742, 7704, 763, 2033, 3037, 3294, 4706, 6118, 6404, 8070, 888, 1302, 2749, 3478, 5182, 5806, 6677, 8034, 725, 1402, 2993, 3567, 4672, 5316, 7057, 7689, 504, 1248, 2592, 4101, 4984, 6050, 6651, 7607, 575, 1512, 2766, 3605, 4487, 5983, 6876, 7256, 940, 2063, 2793, 3838, 4592, 5491, 7218, 8054, 405, 2000, 3043, 3430, 4333, 5630, 6775, 7816, 579, 1494, 2387, 3811, 4359, 6159, 6256, 7689, 373, 1494, 2656, 3909, 4318, 5573, 6834, 8206, 223, 1763, 2881, 3987, 4856, 5637, 6901, 7862, 684, 1897, 2154, 4071, 4925, 5911, 6980, 8172, 956, 1791, 2783, 4108, 4589, 6081, 6630, 7768, 1097, 1750, 3110, 4108, 5104, 6139, 6515, 8147, 818, 1998, 2803, 4115, 4888, 6139, 6996, 7949, 488, 1528, 2781, 3803, 5104, 6129, 6752, 7570, 935, 2017, 2781, 3645, 4798, 5635, 6794, 7876, 186, 1528, 2746, 3893, 5061, 6186, 7124, 7806, 452, 1601, 2970, 3748, 5083, 5954, 6668, 7721, 878, 1833, 3133, 3930, 4903, 5515, 7002, 7878, 579, 1596, 2971, 3430, 5135, 5763, 6458, 8246, 579, 1833, 2783, 3836, 5145, 5765, 6612, 7716, 160, 1141, 3143, 4171, 4423, 5462, 6776, 8079, 160, 2009, 2254, 3961, 4324, 6123, 6240, 7358, 271, 1915, 2864, 3793, 4942, 6165, 6350, 7273, 271, 1831, 3092, 3249, 5095, 5565, 6913, 7528, 386, 1978, 2207, 3918, 4332, 5742, 6702, 7999, 150, 2050, 2565, 4044, 4651, 5614, 7023, 7846, 150, 1255, 2207, 3393, 4548, 5577, 7090, 7625, 610, 2048, 3092, 3704, 4896, 5646, 7222, 7500, 756, 1250, 2503, 3932, 5095, 5761, 6348, 8107, 256, 1108, 2762, 4150, 4529, 5276, 6976, 7811, 256, 1930, 3110, 3777, 4918, 5219, 6786, 7918, 518, 1791, 3000, 4096, 4890, 5493, 6284, 7563, 256, 2073, 2340, 3819, 4716, 6149, 6740, 7717, 256, 2030, 2340, 4037, 5159, 6149, 7084, 8126, 555, 1752, 2729, 4171, 4870, 5705, 6575, 8126, 1002, 2017, 2781, 3803, 4704, 5963, 6996, 8237, 860, 2017, 3008, 3825, 4630, 5241, 7201, 8147, 488, 1622, 3008, 4068, 4888, 6139, 7201, 7766, 818, 1791, 3110, 4174, 4624, 5635, 7124, 7641, 742, 1597, 3116, 3375, 4192, 5296, 6840, 7557, 221, 1479, 2886, 3861, 5145, 6050, 6768, 8178, 859, 1797, 2771, 4093, 4782, 5296, 7100, 7494, 223, 1684, 3047, 3983, 5160, 5360, 6324, 7842, 492, 1783, 2696, 3552, 4221, 6116, 7060, 7379, 897, 2049, 2464, 3690, 4745, 5909, 6281, 7860, 360, 2118, 2320, 3394, 4541, 5757, 7140, 7801, 249, 2118, 2307, 3679, 4664, 6194, 7223, 7650, 1029, 1400, 2437, 3432, 4775, 6178, 7219, 7983, 536, 1789, 2866, 3884, 4735, 5490, 7085, 8092, 536, 1140, 2796, 3540, 4434, 5496, 6309, 7603, 1033, 1893, 2869, 3605, 4806, 5304, 7066, 8103, 1090, 1850, 2924, 3771, 4845, 5491, 7047, 7718, 1025, 1146, 2414, 3472, 4553, 5413, 6884, 8093, 610, 1878, 2750, 3418, 4780, 5630, 7039, 7528, 104, 1717, 2515, 4115, 5122, 5908, 6302, 8107, 1025, 1577, 2638, 3530, 5088, 6171, 6307, 8097, 424, 1931, 2926, 3410, 4387, 6181, 7218, 7842, 663, 1562, 2436, 3188, 4512, 5586, 6776, 8245, 804, 1998, 2991, 4114, 5020, 6146, 6972, 7806, 308, 1218, 2473, 3886, 4896, 5610, 7160, 7476, 756, 1724, 2943, 3866, 4706, 5730, 6786, 7962, 844, 1557, 2803, 3374, 5115, 5918, 6251, 8055, 981, 1510, 3085, 3649, 4881, 5259, 6932, 8205, 725, 1510, 2943, 4038, 4818, 5606, 6234, 7509, 575, 1510, 2345, 4035, 4214, 5374, 7019, 8058, 1001, 1510, 2345, 3162, 4426, 5926, 6670, 8041, 961, 1510, 2574, 3262, 5185, 5706, 7024, 7896, 961, 1510, 2345, 3658, 4337, 5441, 6820, 7736, 424, 1510, 2530, 3542, 5101, 6096, 6702, 7687, 288, 1507, 2924, 3790, 4288, 5657, 7241, 7948, 228, 1529, 2941, 3889, 4512, 6123, 6486, 7846, 654, 1440, 2669, 3337, 4267, 5364, 6844, 8069, 654, 1695, 2729, 3704, 4549, 5413, 6865, 7680, 228, 1304, 2953, 3873, 5061, 5962, 7006, 7887, 228, 1851, 2833, 3394, 5157, 5892, 6584, 8147, 228, 1851, 2953, 3873, 4775, 5677, 6604, 8080, 228, 2108, 2316, 4006, 5083, 5581, 7069, 7557, 654, 2097, 2833, 3394, 5007, 6101, 7203, 7711, 228, 2111, 2869, 3574, 4459, 5641, 6854, 8080, 228, 1468, 2839, 3394, 4638, 5219, 7003, 7939, 228, 1750, 3147, 3550, 4326, 5963, 7091, 7811, 228, 2111, 2554, 3933, 5075, 5830, 6584, 7865, 228, 1623, 2172, 3364, 5079, 5624, 6515, 8126, 256, 1826, 2316, 3586, 4344, 5590, 7006, 7643, 105, 2118, 2791, 3838, 4918, 5241, 6757, 8236, 186, 1468, 2560, 3891, 5193, 5767, 7152, 7865, 488, 2017, 2554, 3595, 4890, 5767, 6515, 7303, 860, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 201, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1622, 3117, 4108, 4798, 5635, 7124, 7949, 818, 2017, 3065, 3367, 4798, 5635, 6996, 7723, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 76, 33, 54, 5, 52, 33, 64, 16, 54, 78, 5, 76, 35, 5, 57, 75, 35, 5, 76, 48, 5, 63, 17, 65, 66, 5, 66, 73, 5, 23, 35, 5, 28, 33, 30, 63, 74, 53, 5, 76, 45, 54, 30, 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, 8196, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 779, 1218, 2167, 4098, 4583, 5612, 7010, 7256, 716, 2035, 2484, 3707, 4241, 6008, 7010, 7603, 536, 1674, 3122, 3153, 4763, 6089, 6384, 8015, 897, 1865, 2480, 3691, 4595, 5468, 6710, 7518, 492, 1141, 2627, 3187, 5000, 5643, 7242, 7741, 113, 1118, 3026, 3264, 4448, 5569, 6483, 7496, 826, 1255, 2693, 3582, 5098, 5441, 6984, 7545, 826, 1771, 2794, 3475, 4575, 5454, 6974, 7419, 150, 1878, 2750, 3355, 4796, 5599, 6579, 7262, 887, 1978, 2440, 3840, 5011, 6073, 6736, 8203, 104, 1682, 2142, 4027, 4831, 5640, 6915, 7827, 993, 2079, 2564, 3748, 4514, 5938, 7098, 8041, 826, 2013, 2748, 3276, 4883, 5610, 6859, 7508, 1101, 1129, 2474, 3420, 4982, 5325, 7002, 7471, 399, 2089, 3040, 3824, 4982, 5291, 7166, 8234, 664, 2009, 3097, 3421, 4274, 6016, 6510, 8038, 664, 2009, 2734, 3765, 4706, 5205, 6923, 7954, 620, 2055, 2882, 3766, 4338, 5509, 6592, 8038, 489, 1919, 2410, 3623, 4212, 6178, 6535, 7930, 518, 2067, 2751, 3533, 4727, 6221, 7058, 8175, 654, 1974, 2925, 4145, 5179, 5918, 7059, 7574, 654, 2111, 2718, 3873, 4836, 5548, 7010, 8046, 654, 1856, 2935, 3879, 5134, 5548, 7047, 7476, 518, 1620, 2875, 3931, 4762, 6163, 7103, 8185, 317, 2068, 3092, 3623, 4681, 5575, 6314, 7367, 256, 1620, 2875, 4153, 5073, 6067, 6566, 8034, 899, 1620, 3080, 3770, 5048, 5582, 7160, 7675, 335, 1770, 2401, 4078, 4595, 6034, 6270, 8132, 504, 1234, 2669, 3306, 5092, 5687, 7120, 7973, 386, 1509, 2750, 3679, 4186, 5298, 7049, 7992, 271, 1141, 2868, 3286, 5143, 6063, 6832, 7537, 271, 1141, 2568, 3918, 4429, 5246, 6566, 8072, 104, 1682, 2381, 3669, 5083, 5423, 6976, 8266, 317, 1335, 2188, 3962, 5127, 5745, 7098, 8197, 225, 1653, 2474, 3192, 4289, 5886, 6610, 7442, 576, 1369, 2345, 4096, 4449, 5497, 6443, 7822, 579, 1382, 2463, 3880, 4606, 5276, 6872, 7349, 373, 1141, 2895, 3994, 4549, 5255, 6655, 7344, 980, 1318, 3008, 3602, 4918, 5650, 7041, 7650, 110, 1455, 2998, 3885, 5141, 5834, 6850, 7648, 887, 1251, 2543, 3240, 5060, 5868, 6820, 7768, 150, 2033, 2965, 3354, 4181, 5871, 6884, 7576, 504, 1900, 3126, 3918, 4993, 5231, 6402, 7508, 386, 1520, 2750, 3801, 4924, 5448, 6596, 8072, 386, 1849, 2944, 3560, 4981, 6221, 7195, 7842, 386, 1947, 2697, 3873, 4628, 5567, 6601, 8081, 981, 1512, 2353, 3202, 4555, 6137, 6981, 8214, 678, 2052, 3150, 3819, 4548, 5227, 6502, 7995, 473, 1913, 2864, 3602, 4429, 5752, 6584, 7899, 450, 1845, 2167, 4114, 4447, 5342, 6991, 7648, 450, 1874, 2740, 4152, 4700, 5731, 6361, 7768, 110, 1582, 2515, 3333, 4787, 6001, 7049, 7941, 545, 1582, 2562, 3676, 4855, 6138, 6681, 7271, 692, 1469, 2515, 3446, 4462, 5608, 6832, 7396, 1009, 1302, 2715, 3404, 4706, 5600, 6453, 8103, 540, 1440, 2392, 3243, 4421, 5866, 6894, 7840, 784, 1190, 2452, 3357, 4781, 5815, 7164, 7875, 249, 1469, 2765, 3624, 4882, 6191, 7182, 7800, 1029, 1129, 3126, 3432, 4698, 6086, 6653, 7442, 386, 1529, 3050, 3557, 4368, 5224, 6691, 8265, 150, 1529, 2727, 3505, 4497, 5954, 6351, 8129, 826, 1749, 2648, 3979, 5199, 5568, 6224, 7744, 610, 1940, 2248, 3732, 5143, 6154, 6348, 7795, 440, 1856, 2556, 3692, 4597, 5227, 6856, 7673, 756, 1685, 2490, 3681, 4382, 5950, 6382, 7768, 756, 2046, 2985, 3350, 4595, 6205, 7058, 7572, 489, 1660, 2187, 3352, 4579, 5514, 7048, 8099, 613, 2046, 2661, 3557, 4676, 5904, 7120, 8152, 840, 1512, 2389, 3271, 4369, 5667, 6580, 7605, 1067, 1818, 2511, 3398, 4556, 5387, 6526, 8163, 736, 1921, 2708, 4022, 4701, 5603, 7050, 7518, 249, 1479, 2511, 3475, 4298, 6039, 6324, 8084, 333, 1742, 2499, 4036, 4874, 5757, 6650, 7902, 840, 1232, 2511, 3756, 5075, 5967, 6743, 7527, 1080, 1812, 2440, 3491, 5161, 6082, 6582, 7744, 862, 1454, 2805, 4082, 4879, 5624, 6907, 8072, 1063, 1812, 2309, 3570, 4948, 5621, 7237, 7475, 1011, 1730, 2358, 3323, 4234, 5825, 6772, 8018, 678, 2065, 2944, 3512, 4585, 5489, 6354, 7827, 1047, 1509, 2985, 3552, 5098, 5650, 6386, 7381, 571, 2035, 3095, 4174, 5044, 5694, 7004, 7641, 914, 1847, 2965, 4174, 5159, 5534, 7084, 8195, 818, 1847, 2746, 3206, 5058, 5705, 7006, 8260, 186, 2017, 2996, 3866, 4287, 5901, 6996, 7949, 488, 2017, 2781, 4115, 4624, 6139, 6515, 7485, 818, 1622, 2781, 3825, 4624, 5630, 7077, 7766, 488, 1528, 2914, 3825, 4888, 6139, 7226, 8196, 488, 1528, 2164, 3893, 4888, 6139, 7077, 8223, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3825, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3893, 4798, 6186, 7124, 8223, 818, 1705, 3043, 3893, 4583, 5635, 6972, 7949, 204, 1717, 2222, 3866, 4891, 6087, 6996, 8066, 1029, 1302, 2155, 3560, 4530, 5664, 6304, 8024, 936, 1208, 2387, 3631, 4452, 5478, 7214, 7248, 936, 1758, 2920, 3476, 4452, 5398, 6611, 7713, 936, 1821, 2156, 3358, 5050, 5466, 6768, 8099, 608, 1806, 2258, 4038, 4825, 5509, 7065, 7329, 993, 1758, 3029, 3581, 5134, 5466, 6296, 8149, 1011, 1930, 2440, 4025, 5085, 5676, 6454, 8136, 1090, 1972, 2440, 3826, 4547, 5631, 6734, 7738, 951, 1855, 2520, 3679, 4435, 5475, 6876, 7732, 678, 1540, 2971, 3982, 5196, 5796, 6852, 7602, 537, 1797, 2803, 4011, 4912, 6182, 6410, 7828, 776, 1886, 2971, 4165, 4912, 5844, 6734, 7494, 895, 2024, 2864, 3945, 5169, 5558, 7095, 7524, 814, 1685, 2874, 3290, 4413, 5627, 6461, 8002, 1041, 2009, 2440, 4021, 4995, 5585, 6744, 7344, 192, 2059, 2751, 3560, 4345, 5518, 6452, 7502, 955, 1557, 2576, 3413, 4234, 6015, 6776, 7288, 211, 1510, 2209, 3699, 4764, 5474, 6889, 7386, 153, 1116, 2238, 3498, 4716, 6001, 7017, 7424, 118, 1286, 2971, 3342, 4949, 5624, 6614, 7574, 334, 1286, 2660, 3391, 5135, 6149, 6683, 8146, 183, 1525, 2262, 3391, 5124, 5892, 6740, 7318, 183, 1898, 2926, 3470, 5159, 5630, 6677, 7715, 183, 1112, 2860, 4168, 5097, 6119, 7090, 7557, 256, 1633, 3133, 3227, 5040, 6129, 6515, 8061, 183, 1750, 2833, 3394, 4549, 6205, 6715, 8076, 859, 1648, 2833, 4174, 4737, 5612, 6575, 8126, 256, 2017, 2560, 3931, 4737, 5514, 6889, 7732, 757, 1752, 2729, 3852, 4297, 5514, 7218, 7476, 304, 1966, 3043, 3848, 5129, 5589, 7100, 7949, 752, 1660, 2321, 3487, 5125, 5685, 6918, 8245, 993, 1213, 2695, 3167, 4659, 5802, 7222, 7957, 1008, 1146, 2258, 3780, 4394, 6086, 6472, 7656, 83, 1915, 2998, 3635, 4471, 6034, 6663, 7917, 83, 1877, 2531, 3869, 4285, 5696, 6476, 7416, 1089, 1469, 2348, 3223, 4431, 5632, 6263, 8123, 360, 1199, 2782, 3263, 4238, 5785, 6759, 7277, 930, 1926, 2372, 3284, 4807, 5526, 6577, 7758, 1040, 1183, 2873, 3688, 4738, 6158, 6545, 7694, 536, 1855, 2670, 3356, 4989, 5512, 6896, 7608, 917, 1146, 2234, 3727, 5198, 5458, 7092, 7648, 1051, 2057, 2695, 3602, 4501, 5483, 6516, 7678, 804, 1671, 2360, 3975, 4470, 5272, 6242, 8016, 980, 2028, 3110, 3945, 4757, 5475, 6467, 8260, 779, 1963, 2899, 3918, 4447, 6205, 7149, 8093, 1056, 1675, 2860, 3240, 5106, 5646, 6540, 7413, 211, 1976, 2860, 3488, 5139, 5899, 7157, 7870, 1037, 2084, 2988, 3361, 5127, 6164, 7133, 8066, 672, 1566, 2552, 3992, 5164, 5889, 6281, 7942, 119, 1494, 2867, 4137, 5011, 5653, 6227, 7669, 664, 1494, 2953, 3329, 4616, 5443, 6536, 7615, 1040, 1832, 2751, 3218, 4656, 6015, 6501, 7727, 992, 2036, 2751, 3686, 4934, 5711, 6413, 7405, 938, 1942, 2254, 3723, 5091, 5435, 6763, 7612, 940, 1308, 2402, 3909, 4586, 6163, 6663, 8244, 804, 1796, 2559, 4018, 4986, 5613, 7058, 7528, 833, 1791, 2424, 3540, 4343, 5219, 7168, 8260, 804, 1933, 3098, 3710, 4630, 6205, 7168, 7806, 833, 1218, 2975, 4124, 4537, 5883, 6988, 7264, 100, 1946, 2656, 3214, 5071, 6003, 6991, 7616, 541, 1889, 2868, 3623, 4213, 5472, 7147, 7748, 113, 1141, 2474, 3963, 4666, 5749, 6331, 7260, 150, 2048, 2511, 3427, 4206, 5475, 6566, 7528, 443, 1407, 2864, 3793, 4521, 5409, 7095, 7358, 443, 1582, 2708, 3434, 4774, 5918, 6473, 7365, 299, 1582, 2161, 3263, 4574, 6145, 6737, 7367, 895, 1721, 2373, 3974, 4574, 5445, 6684, 7490, 104, 1721, 2894, 3822, 4552, 5482, 6684, 7800, 887, 2033, 2482, 4098, 4772, 5740, 6572, 8101, 1090, 2033, 2903, 3925, 4387, 5431, 6251, 7355, 678, 1721, 2348, 3806, 5194, 6192, 6899, 8019, 1081, 2033, 2444, 3948, 5094, 5477, 6774, 7899, 1081, 1393, 3003, 3917, 4246, 6070, 6830, 7704, 1081, 1455, 2924, 3412, 5015, 5687, 7002, 7329, 887, 2008, 2476, 3544, 4791, 5687, 6478, 7393, 887, 2008, 2980, 3855, 4439, 5589, 6895, 7658, 936, 1897, 2222, 3631, 4364, 5928, 7155, 7953, 1067, 1525, 2207, 3614, 4417, 5615, 6312, 7531, 1040, 2059, 2751, 3502, 4494, 5954, 6474, 7811, 536, 1918, 2775, 4115, 4845, 5512, 6598, 8210, 113, 1942, 2595, 3920, 4604, 5279, 6899, 7887, 778, 1255, 2563, 3393, 4458, 5981, 6850, 7535, 104, 1771, 3020, 3469, 4501, 5978, 6603, 7336, 850, 1676, 3020, 3537, 5110, 6022, 7044, 8070, 826, 1676, 3020, 3259, 5022, 5687, 6648, 8240, 408, 1747, 2661, 3961, 4536, 5662, 6565, 8085, 1025, 1399, 2989, 3870, 4691, 6084, 6702, 7720, 831, 1175, 3080, 3910, 4592, 6146, 6708, 7959, 663, 1881, 2336, 4145, 5020, 5901, 6566, 7421, 153, 1320, 2980, 3231, 4371, 6131, 7207, 7602, 668, 1924, 2487, 3307, 4796, 5840, 6883, 7519, 964, 1510, 2346, 3936, 4831, 5517, 6984, 8061, 1036, 1299, 2196, 3623, 4415, 5523, 6739, 8263, 137, 1865, 2564, 3964, 4321, 5526, 7073, 7250, 692, 2036, 2805, 3910, 5124, 5782, 6550, 7564, 974, 1338, 3003, 3192, 4514, 6187, 6883, 8070, 803, 1582, 2258, 3268, 4574, 5646, 6758, 7800, 864, 1937, 2234, 3192, 4396, 5365, 7016, 7930, 271, 1972, 2355, 3853, 4605, 5982, 6466, 7540, 1011, 1499, 2135, 3644, 4396, 5714, 7181, 8061, 308, 1175, 2975, 3803, 4554, 5475, 6265, 7821, 818, 1847, 2834, 3710, 5058, 5968, 6408, 7584, 186, 2028, 2730, 3983, 4782, 5832, 6972, 7723, 935, 1110, 2925, 4071, 5061, 6131, 6988, 7766, 859, 1992, 2391, 3188, 5080, 5767, 7090, 8236, 859, 1968, 2839, 4152, 4615, 5687, 7207, 7806, 617, 1876, 3147, 4152, 4555, 6101, 7158, 7485, 617, 1684, 2992, 3352, 5151, 5910, 7091, 7508, 757, 1108, 2379, 3515, 5120, 5650, 7114, 8015, 617, 1706, 2792, 3552, 4681, 5500, 7100, 8031, 617, 1684, 2941, 4174, 4790, 5296, 6443, 7664, 617, 2127, 2805, 3446, 4512, 5874, 6238, 7941, 617, 1750, 2833, 3515, 4459, 5515, 6810, 8193, 617, 1750, 2349, 3550, 4555, 5719, 6515, 8093, 105, 1372, 2316, 4005, 4877, 5844, 6996, 7715, 617, 1564, 3021, 3986, 4423, 5767, 7024, 7288, 859, 2127, 3046, 4092, 4512, 5548, 6809, 7919, 4, 2 ]

[ 1, 31, 16, 5, 43, 23, 64, 51, 49, 62, 35, 5, 76, 11, 78, 5, 64, 17, 53, 16, 54, 30, 5, 5, 3, 201, 2017, 3117, 3367, 4704, 6211, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8147, 142, 1528, 2914, 3825, 4704, 6186, 7226, 8196, 915, 1961, 3065, 3914, 4344, 5241, 6752, 7715, 308, 1233, 3128, 4145, 4398, 5635, 6972, 7557, 752, 1771, 2315, 4113, 5100, 5372, 7246, 7865, 752, 1125, 2750, 3233, 5125, 5730, 6683, 7402, 247, 1458, 2791, 3922, 5167, 5573, 6683, 7560, 612, 1497, 2491, 3596, 4897, 5990, 6917, 8171, 249, 1294, 2409, 3986, 4897, 6067, 6723, 8171, 825, 1582, 2182, 3189, 4904, 5290, 6309, 7869, 886, 2079, 2361, 3413, 4647, 5541, 6879, 7690, 541, 1931, 2491, 3533, 4916, 5320, 7108, 7525, 415, 1540, 2293, 3513, 4418, 6220, 6227, 7254, 217, 1838, 2253, 3487, 5188, 5206, 6701, 8074, 844, 1547, 2944, 4087, 4726, 5267, 6817, 8189, 113, 1332, 2959, 4137, 4739, 5504, 6625, 7810, 1052, 2065, 2474, 3574, 5111, 5717, 6835, 8138, 775, 2009, 2161, 3693, 5140, 5717, 6442, 7725, 793, 2009, 2612, 3329, 4413, 5843, 7118, 7751, 399, 1408, 3091, 3332, 4506, 6210, 7140, 7790, 737, 1682, 3091, 3332, 4812, 6202, 6726, 8165, 249, 1140, 3078, 3937, 4364, 5624, 7106, 7590, 1029, 1655, 2692, 3565, 4456, 5719, 7206, 7785, 840, 1280, 2923, 3785, 5196, 5397, 6651, 7836, 271, 1468, 2309, 4005, 4594, 6220, 6224, 7834, 645, 1682, 2454, 4101, 4688, 5204, 6478, 7970, 811, 1458, 2693, 3232, 5130, 5923, 6513, 7756, 225, 1386, 2718, 3241, 4890, 5464, 6875, 7275, 225, 1627, 2181, 3827, 4376, 5752, 7152, 8170, 225, 1424, 2250, 4092, 5088, 5678, 6607, 7907, 228, 1547, 2750, 3753, 5125, 5719, 6251, 7677, 256, 1917, 3144, 3723, 4387, 6097, 6906, 8132, 403, 1386, 3021, 3592, 4996, 5630, 6468, 7908, 859, 2111, 2718, 3827, 4836, 6160, 7149, 8069, 356, 1752, 2432, 3886, 4554, 5706, 6723, 8173, 256, 1289, 3062, 3710, 5104, 6117, 6765, 8080, 918, 1490, 2989, 3551, 5030, 5776, 7187, 7677, 183, 1248, 2943, 3803, 4284, 6050, 6291, 7880, 335, 1311, 2947, 3175, 4627, 6211, 7162, 7732, 825, 1782, 2865, 3797, 4297, 6111, 7053, 7442, 893, 1706, 2973, 3167, 4384, 5727, 6849, 8149, 299, 1121, 2751, 4084, 4364, 5640, 6224, 8266, 487, 1306, 2751, 3375, 4539, 5793, 6225, 8189, 1057, 2009, 2595, 4137, 4913, 6206, 6443, 7878, 510, 1675, 2729, 4085, 5061, 5979, 6809, 7677, 818, 1467, 3021, 4018, 5088, 6129, 7160, 8267, 914, 2001, 3128, 3929, 4888, 6146, 6979, 8209, 475, 1915, 3144, 3951, 4551, 5548, 7201, 7563, 1015, 2000, 2139, 3430, 4423, 5241, 7207, 8164, 579, 1700, 2975, 3891, 4489, 5781, 6338, 7458, 948, 1668, 3143, 3709, 4801, 5704, 6871, 8083, 1067, 2081, 2943, 4153, 4271, 5437, 6633, 7895, 574, 1512, 2455, 4097, 4474, 5717, 6839, 7260, 266, 1831, 3126, 3614, 4902, 5205, 6251, 8222, 784, 1633, 2661, 4079, 4597, 6141, 7038, 7679, 299, 1924, 3090, 4142, 4195, 6016, 7208, 7829, 150, 1867, 2748, 3540, 4748, 5677, 6884, 7828, 610, 1356, 3094, 3876, 4533, 5716, 7100, 7718, 610, 1499, 2996, 3512, 4981, 5983, 6677, 8245, 610, 1818, 3043, 4028, 4792, 5526, 7111, 8037, 884, 2088, 2965, 3962, 5141, 5396, 7023, 7633, 386, 1490, 2690, 3315, 4559, 5504, 6255, 7924, 1023, 1199, 3151, 3892, 5161, 5642, 6986, 8131, 1101, 1509, 2361, 3997, 4248, 5354, 6458, 8000, 1080, 1682, 2361, 4008, 4586, 6203, 7028, 8230, 952, 1302, 3130, 3446, 4582, 6012, 7023, 7584, 518, 2002, 2456, 3601, 4762, 5793, 7014, 7753, 195, 1311, 3026, 3882, 5125, 5962, 6604, 7764, 699, 1758, 2473, 4085, 5007, 5903, 6376, 7702, 518, 1756, 2629, 4113, 4770, 5590, 7103, 7303, 654, 2106, 2946, 3704, 4338, 5963, 7090, 8088, 518, 2127, 2659, 3924, 4181, 5981, 6900, 7397, 518, 2127, 2860, 3376, 4877, 5901, 6900, 8130, 518, 2111, 3133, 4166, 4904, 5333, 6584, 8236, 518, 2065, 3133, 4153, 4859, 5515, 6515, 8093, 579, 2111, 2554, 3931, 4193, 5436, 6286, 7697, 1084, 1773, 2642, 4145, 4329, 5385, 7133, 8193, 360, 2102, 2346, 3678, 5010, 6031, 7177, 7709, 249, 1151, 2429, 3222, 4518, 6043, 6898, 7639, 249, 2059, 2623, 3245, 4364, 5644, 7141, 7442, 993, 1407, 2680, 3635, 4799, 5876, 6578, 8253, 993, 1740, 2435, 3972, 4462, 5624, 6264, 7622, 1057, 1609, 2171, 3562, 5018, 5366, 6710, 8168, 104, 1717, 2515, 4102, 4651, 5415, 6603, 7753, 1025, 1494, 2783, 3582, 4966, 5548, 6380, 8224, 1025, 2055, 2661, 3169, 5159, 5600, 7109, 7899, 826, 1858, 2793, 3870, 4982, 6166, 6470, 8205, 535, 1562, 2429, 4067, 4361, 6220, 6664, 8117, 840, 1770, 2741, 3741, 4707, 5777, 6691, 8176, 536, 1918, 2536, 4007, 4350, 5366, 7228, 8211, 936, 1496, 2232, 3605, 4418, 5567, 6811, 7925, 113, 1708, 2455, 3956, 5114, 5730, 6719, 7980, 826, 1935, 3003, 3271, 4536, 5600, 6614, 7336, 150, 1238, 2455, 3728, 4938, 6215, 7019, 8238, 150, 2048, 2429, 3396, 4273, 5713, 6893, 7865, 504, 1238, 2741, 3271, 5169, 5202, 7162, 7607, 1025, 1948, 2436, 3905, 4444, 5788, 7030, 8266, 643, 1227, 2741, 4146, 4872, 5705, 6972, 7846, 150, 1227, 2381, 3886, 4757, 5573, 6507, 8031, 504, 1915, 3043, 3407, 4672, 5541, 7168, 8240, 643, 1717, 2803, 3645, 4855, 5493, 6515, 7631, 1081, 1302, 2887, 3901, 4859, 5899, 6755, 8213, 643, 1773, 2515, 3418, 4536, 5630, 7111, 7815, 1081, 1499, 2980, 3233, 4588, 5844, 6918, 7706, 940, 1682, 3064, 3955, 4335, 5548, 7077, 7706, 1056, 1682, 3053, 3886, 4630, 5586, 7129, 7421, 923, 1171, 2398, 3248, 4784, 5750, 7175, 7955, 684, 2065, 2924, 3811, 5138, 6001, 6966, 7447, 211, 1826, 2144, 3838, 4441, 5746, 7239, 7715, 684, 1467, 2959, 4068, 5080, 5705, 6988, 7485, 956, 1804, 2991, 3982, 4551, 5832, 7006, 8260, 201, 2000, 2164, 4011, 4704, 6139, 7084, 8147, 201, 2017, 2806, 4108, 4704, 6139, 7124, 8147, 488, 1528, 2806, 3893, 5080, 6139, 7124, 8223, 488, 1528, 3065, 3825, 4624, 6139, 7077, 7766, 488, 1622, 3065, 3825, 4624, 6139, 6709, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 4, 2 ]

[ 1, 76, 45, 29, 5, 43, 14, 30, 5, 51, 14, 63, 47, 30, 5, 53, 48, 5, 76, 33, 52, 5, 44, 54, 5, 64, 33, 75, 63, 16, 52, 5, 41, 26, 66, 64, 5, 5, 3, 142, 2017, 2914, 3893, 4704, 6211, 7226, 8147, 142, 1528, 2914, 3893, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8223, 488, 2017, 3065, 3825, 4798, 6139, 6794, 8196, 488, 1528, 2164, 3893, 4624, 5635, 7201, 7766, 935, 1791, 3128, 3516, 4583, 5612, 7201, 7948, 778, 1318, 2381, 3176, 4529, 5378, 6796, 7485, 850, 1788, 3108, 3430, 4330, 5714, 6820, 8085, 335, 1531, 2730, 3478, 4549, 5690, 6468, 7872, 1047, 1510, 2829, 3978, 4220, 5437, 6293, 8034, 105, 1782, 2287, 3832, 4423, 5873, 6849, 7563, 1097, 1845, 2729, 3253, 5080, 5241, 7006, 8085, 874, 1623, 3042, 3234, 5192, 5421, 6740, 7776, 334, 1706, 2139, 3529, 4949, 5400, 7024, 8039, 757, 2106, 2315, 4111, 4615, 5792, 7132, 7303, 1056, 1545, 2677, 3909, 4966, 6075, 7167, 7906, 611, 1881, 2170, 3995, 4224, 5874, 6769, 8251, 668, 1333, 2717, 3953, 4876, 5664, 6351, 7649, 1101, 1284, 2655, 3213, 5142, 5648, 6645, 7263, 103, 1543, 2415, 3193, 4806, 5981, 6291, 7256, 956, 1700, 3043, 3803, 4387, 5378, 6349, 7782, 935, 2068, 2391, 3516, 5183, 5694, 7132, 7717, 555, 2078, 2803, 3562, 4287, 5678, 6465, 7716, 356, 1623, 2398, 4166, 4870, 5752, 7167, 7720, 488, 1992, 2806, 3866, 4630, 5832, 7129, 8196, 935, 1622, 3135, 4145, 5058, 6137, 6996, 8267, 143, 1695, 2946, 4026, 4344, 5411, 7160, 7510, 397, 1898, 2904, 3530, 4702, 5886, 6486, 7980, 105, 1876, 2659, 3188, 4344, 5500, 6752, 7865, 427, 1675, 3021, 3795, 5060, 5678, 6612, 7385, 1033, 1937, 3032, 3482, 4387, 5863, 6536, 7908, 360, 1286, 2725, 3241, 4634, 6180, 6286, 7898, 1101, 1609, 2725, 3759, 4552, 5585, 6663, 7993, 840, 1968, 2487, 3252, 4903, 5662, 6965, 7800, 339, 1286, 3047, 3765, 4717, 5411, 6784, 7924, 662, 1818, 2436, 3701, 4325, 5767, 6239, 8241, 693, 2049, 2987, 3750, 5025, 5893, 6651, 8136, 1038, 1730, 2343, 3873, 5052, 5405, 6618, 7462, 1038, 1250, 2959, 4050, 4466, 5796, 7130, 7831, 1001, 1453, 2688, 4156, 4291, 6128, 6348, 8265, 1001, 1250, 2498, 4123, 5010, 5814, 6573, 7770, 1057, 1541, 2959, 3668, 5034, 6070, 7210, 8085, 1057, 1586, 2688, 3707, 4236, 5449, 6470, 7462, 1038, 1732, 2481, 3812, 4297, 6044, 6674, 8225, 575, 1561, 2766, 3931, 5183, 5828, 6670, 7957, 807, 1286, 3089, 3582, 4473, 5523, 6592, 7831, 887, 1561, 2282, 4080, 4364, 5564, 6670, 7509, 150, 1550, 3020, 3792, 5052, 5678, 6852, 8126, 610, 1782, 2282, 3848, 4764, 5424, 6244, 7869, 288, 1561, 2282, 3540, 5115, 5609, 6615, 7869, 684, 1998, 2389, 3918, 5115, 6175, 7111, 8185, 304, 1672, 2708, 4145, 4592, 5952, 6765, 7279, 610, 1350, 2429, 3932, 4501, 5821, 7218, 8066, 424, 1499, 3053, 4145, 4829, 5219, 7218, 7876, 887, 1227, 2730, 3990, 4470, 5678, 7114, 7311, 887, 1499, 2730, 3540, 4287, 5586, 7114, 7706, 840, 1601, 2797, 4155, 4321, 5478, 7079, 7862, 826, 1652, 3091, 3776, 5072, 5745, 6882, 7492, 582, 1250, 2520, 3707, 4556, 5863, 6349, 7671, 1025, 1550, 2946, 3811, 4834, 5257, 7086, 8069, 643, 1876, 2610, 3613, 5020, 5474, 6592, 7297, 887, 1550, 2167, 3955, 4683, 5583, 6399, 7873, 150, 1540, 2565, 4073, 4269, 5561, 7230, 7806, 1081, 1171, 2798, 3298, 4374, 5802, 6520, 7677, 1090, 1897, 3092, 3975, 4337, 6147, 6820, 7770, 390, 1175, 3060, 3856, 5145, 6051, 6734, 8054, 308, 1175, 3108, 4018, 4925, 6058, 6709, 8076, 779, 1847, 2662, 3602, 4439, 5385, 6961, 7876, 1056, 1931, 2231, 4041, 4179, 5210, 7003, 7949, 663, 1455, 2838, 4108, 5139, 5534, 6972, 7631, 1090, 1660, 2746, 3912, 5104, 5471, 7006, 8188, 424, 1356, 2981, 3964, 4181, 5761, 6967, 7641, 104, 1318, 2731, 4112, 4634, 5687, 6870, 7468, 614, 2035, 2985, 3191, 5125, 6121, 6295, 7957, 1025, 1624, 2993, 3760, 5079, 5678, 6612, 7879, 113, 2117, 2137, 3268, 4402, 5699, 7126, 7968, 876, 1655, 2258, 3356, 4601, 5441, 7049, 7516, 1019, 1758, 2771, 3394, 4364, 5333, 6870, 7634, 992, 1510, 2348, 3885, 5134, 6034, 7023, 8093, 1041, 1397, 2987, 3525, 4651, 5719, 6391, 7887, 996, 1494, 2987, 3634, 4443, 6063, 6269, 8146, 992, 1858, 2218, 3623, 4834, 5631, 6224, 7927, 1057, 1669, 2156, 3999, 4419, 6065, 6466, 8038, 913, 1486, 2137, 3672, 4855, 5512, 6315, 8163, 770, 1826, 2533, 3245, 4401, 6065, 6930, 7842, 235, 1740, 2555, 4142, 5031, 6076, 6603, 7602, 371, 1183, 2867, 3741, 4868, 5506, 7135, 7821, 951, 1740, 2533, 4027, 4473, 5870, 6415, 7622, 1081, 1183, 2648, 3929, 5179, 5610, 6957, 7341, 678, 1833, 2695, 3820, 4859, 5918, 6421, 7570, 940, 1183, 2820, 3642, 4836, 5810, 6812, 7835, 571, 1931, 2163, 3967, 4343, 6050, 6565, 8241, 970, 1472, 2163, 4166, 5165, 6204, 7173, 7702, 938, 1510, 2137, 3837, 4489, 5648, 7066, 7248, 839, 1510, 2688, 3850, 4720, 6004, 6521, 7808, 404, 1621, 2625, 3292, 5122, 5496, 7232, 8254, 880, 1942, 2156, 4066, 4936, 5547, 6567, 7430, 826, 1570, 2282, 4130, 4604, 5884, 6309, 7893, 887, 1252, 2543, 3752, 5067, 5234, 6476, 7386, 1025, 1350, 3033, 3593, 4650, 5930, 6913, 7797, 826, 1510, 2705, 3793, 4626, 6002, 6901, 7479, 831, 1778, 2272, 4145, 4365, 5276, 7002, 8069, 610, 1992, 3003, 3795, 4954, 5749, 6358, 7677, 1090, 1363, 2678, 3987, 4834, 5983, 6734, 8260, 951, 1906, 2520, 3543, 4901, 5534, 7129, 7913, 453, 1399, 2156, 4011, 4949, 6112, 6979, 7421, 518, 1905, 2506, 3964, 4486, 6116, 6898, 7336, 195, 1633, 2529, 3891, 4777, 5413, 6830, 7254, 518, 2118, 2971, 4166, 5134, 6110, 6622, 7899, 518, 2111, 2833, 3595, 4700, 5210, 7024, 8083, 518, 1961, 2652, 3277, 4985, 5515, 7024, 7781, 518, 2118, 2791, 3689, 4985, 6129, 6701, 8205, 240, 2118, 2858, 3987, 5167, 5331, 6938, 8209, 617, 1791, 2424, 3516, 4985, 6062, 6810, 7677, 955, 1827, 2469, 4125, 5120, 5844, 6898, 7617, 840, 1118, 2625, 3245, 5197, 5313, 6493, 7657, 664, 1112, 3033, 4007, 4242, 5690, 6277, 8197, 930, 1706, 2543, 3759, 5188, 5648, 6309, 7777, 1080, 1968, 2487, 3273, 4364, 5468, 6798, 8177, 1024, 2003, 2429, 3647, 5137, 6074, 7007, 7860, 951, 1209, 2868, 4093, 4199, 5678, 6850, 8034, 684, 2028, 3150, 4145, 4570, 5974, 6852, 8054, 804, 1705, 2534, 3975, 4573, 6195, 6979, 7717, 833, 1705, 2944, 3710, 4895, 6129, 7098, 7811, 804, 1791, 2473, 4135, 4551, 5705, 6674, 7658, 1090, 1851, 3149, 3533, 4359, 5866, 7217, 8016, 923, 1238, 2860, 3906, 4413, 5237, 6854, 7879, 1005, 1660, 2971, 3701, 5020, 5678, 6392, 7477, 864, 1499, 2144, 4138, 4653, 5594, 6886, 8105, 547, 2053, 2655, 3540, 4691, 5276, 6833, 7604, 864, 1199, 3039, 3556, 5069, 6135, 6628, 7548, 1008, 1753, 2894, 3524, 4537, 5323, 6663, 7608, 610, 1988, 2373, 3936, 4291, 6180, 6721, 7555, 610, 1988, 2998, 3450, 4471, 6118, 7232, 8070, 610, 1469, 2258, 3837, 4950, 5423, 6494, 8034, 1025, 1183, 3126, 3829, 4684, 5364, 7221, 7397, 643, 1440, 2367, 3437, 5018, 5870, 6766, 7916, 1090, 2056, 3060, 3376, 4444, 6070, 6797, 7288, 1051, 1146, 3095, 3983, 4653, 5514, 6408, 8240, 789, 1874, 3143, 3983, 5080, 5514, 7232, 8236, 240, 1874, 2339, 3994, 4622, 5719, 6566, 7311, 789, 1304, 2803, 3227, 4398, 5624, 7239, 7957, 789, 2000, 2473, 4145, 4351, 6182, 7006, 7631, 789, 1623, 2221, 4113, 4459, 5689, 6607, 8080, 789, 1623, 2880, 3364, 4555, 5635, 6752, 8130, 256, 1452, 2355, 3440, 5166, 6149, 6889, 7677, 518, 1700, 2473, 3595, 5080, 5202, 6469, 8188, 757, 1503, 2659, 4113, 4398, 6048, 7006, 8185, 132, 2097, 2970, 3185, 4592, 5289, 6998, 8054, 948, 1825, 2800, 3960, 4925, 5356, 6706, 7279, 492, 1503, 2359, 3736, 4404, 5975, 7174, 7427, 681, 1596, 2470, 3481, 5011, 6034, 6863, 7393, 966, 1171, 2869, 3958, 4413, 6011, 6456, 7683, 693, 1283, 2612, 3964, 4321, 5870, 7238, 7680, 952, 1422, 2529, 3989, 4467, 6178, 6501, 7556, 585, 1937, 2470, 3369, 4454, 5918, 6277, 8111, 103, 1707, 2279, 3910, 4985, 5476, 7188, 7954, 103, 1562, 2720, 3873, 4686, 5776, 6734, 7887, 103, 1692, 2326, 3286, 4945, 5614, 6595, 8125, 1056, 1876, 2365, 3904, 4795, 6044, 6974, 7838, 859, 1924, 3098, 3602, 4622, 5364, 6663, 8262, 1097, 2063, 2754, 4113, 5104, 5241, 7084, 7723, 488, 2017, 2781, 4145, 4624, 6139, 7152, 8179, 419, 1623, 2806, 4114, 4888, 6205, 7218, 8179, 518, 1961, 2944, 3827, 5120, 6175, 6604, 8069, 240, 2127, 3144, 4145, 4611, 6137, 6607, 7715, 228, 1112, 2210, 3564, 5088, 5863, 6607, 8132, 228, 1623, 2181, 3552, 5097, 5811, 6724, 8093, 228, 1684, 2542, 3595, 4638, 5220, 7132, 7260, 228, 1684, 2970, 3798, 4700, 6182, 7103, 7715, 228, 1452, 2833, 3227, 4329, 5548, 6757, 7715, 228, 1684, 2341, 4025, 4870, 5678, 6757, 7509, 228, 1853, 2332, 3550, 4622, 5514, 7232, 8102, 228, 1349, 2655, 3777, 4638, 5844, 7232, 7806, 183, 2118, 2669, 4166, 4985, 6110, 6486, 7254, 183, 1286, 2137, 3761, 4549, 5723, 7152, 7927, 859, 2061, 3062, 4145, 4903, 6149, 7098, 7706, 488, 1684, 2221, 3470, 5159, 5892, 6895, 7715, 860, 1528, 2806, 3825, 4870, 5534, 7077, 8147, 860, 1528, 2806, 3825, 4704, 6139, 7077, 8223, 201, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8196, 488, 2017, 2164, 3893, 4624, 6186, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 6794, 7766, 488, 1648, 2914, 3893, 4624, 5635, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2970, 3367, 4798, 6186, 7226, 8223, 4, 2 ]

[ 1, 16, 5, 41, 63, 33, 54, 30, 52, 47, 5, 54, 11, 30, 5, 5, 3, 945, 1528, 3065, 4071, 4704, 6211, 6752, 7485, 142, 1528, 2914, 3825, 4704, 6139, 7077, 8196, 488, 2017, 2914, 3893, 4624, 5340, 7124, 7949, 555, 2065, 2970, 3367, 4822, 5892, 6794, 7641, 1094, 1721, 2970, 3413, 4670, 5765, 6974, 8262, 486, 1346, 2445, 4038, 4244, 6217, 7141, 8252, 556, 1799, 2455, 4036, 5114, 6034, 7142, 7810, 211, 1534, 3038, 3981, 5085, 6110, 6731, 7515, 617, 1933, 2709, 4113, 4374, 5335, 6302, 8099, 568, 1597, 2729, 4005, 4836, 5863, 6980, 8130, 878, 1257, 2251, 3171, 4852, 5580, 6650, 7962, 789, 1851, 2880, 3407, 4762, 6131, 7010, 7658, 256, 1108, 2944, 3407, 5153, 6103, 6688, 8262, 878, 1623, 3000, 4115, 5083, 5436, 6235, 8179, 901, 1874, 2858, 4005, 4762, 5579, 6883, 7646, 500, 1847, 2542, 3980, 5075, 6110, 6918, 7810, 1047, 2085, 2975, 3975, 4459, 6048, 6237, 7570, 280, 1443, 2589, 4055, 4720, 5995, 7064, 7571, 404, 1557, 2805, 3216, 4316, 6075, 7215, 7878, 722, 1882, 2487, 3818, 4707, 6203, 7085, 7979, 722, 1349, 2885, 3486, 4282, 6181, 6975, 7635, 391, 1509, 2839, 4098, 4423, 5834, 7086, 7679, 138, 1935, 2326, 3201, 5088, 5983, 6713, 7714, 392, 1935, 3019, 3155, 4855, 6007, 7220, 7563, 335, 1244, 3088, 4017, 4872, 5485, 6507, 8048, 685, 2063, 2605, 4082, 5000, 5640, 6732, 8195, 767, 1912, 2741, 3380, 4861, 5573, 7129, 7816, 304, 1356, 3109, 4096, 4374, 5835, 6677, 7641, 1064, 2066, 2709, 3915, 4512, 5298, 6820, 7429, 262, 2066, 2309, 3967, 5011, 6154, 7168, 7709, 722, 1275, 3040, 3754, 4353, 5788, 7140, 7363, 262, 2066, 3075, 3648, 5151, 5640, 6980, 8023, 511, 2066, 2455, 3674, 4804, 5656, 6244, 7402, 1101, 1938, 2401, 4003, 4650, 5443, 6706, 7785, 314, 1637, 2830, 3309, 4244, 6118, 6762, 7702, 986, 1777, 2710, 3592, 4556, 6125, 7173, 7973, 582, 1862, 2515, 3234, 4982, 5257, 6985, 8077, 650, 1591, 2638, 3486, 4556, 6111, 6286, 7580, 1033, 1834, 2225, 4030, 4702, 6175, 6717, 7846, 304, 1356, 2754, 4085, 4993, 5573, 6786, 8205, 504, 1624, 2887, 3410, 5127, 5413, 6890, 8031, 1033, 1402, 2766, 3201, 4622, 6007, 6810, 8093, 150, 1820, 2926, 3771, 4713, 6195, 7246, 8093, 1025, 1692, 2636, 3795, 5193, 5713, 6924, 8266, 271, 1708, 2455, 3605, 5032, 6024, 6948, 7607, 737, 1171, 3049, 3276, 4765, 5632, 6839, 8253, 786, 1826, 3040, 3493, 4539, 5928, 7068, 7267, 360, 2002, 3040, 3992, 4992, 6135, 6668, 7420, 508, 2009, 2153, 3967, 4321, 5299, 7228, 8248, 840, 1183, 2993, 3741, 4246, 5744, 6588, 7986, 536, 1183, 2389, 4044, 4804, 6162, 6582, 8240, 113, 1183, 2597, 3214, 4634, 5646, 6467, 8170, 508, 1660, 2435, 3276, 4891, 5632, 7198, 7835, 320, 1183, 2515, 3392, 4684, 5277, 6361, 8167, 641, 1926, 2627, 3276, 4811, 6179, 6659, 7933, 424, 1848, 2403, 3420, 4332, 6067, 6795, 7329, 113, 1984, 2299, 4047, 4672, 5643, 7246, 7476, 508, 1251, 3010, 4056, 5054, 6119, 6300, 7735, 192, 1660, 2250, 4067, 4855, 5847, 6504, 7565, 508, 2036, 2534, 3366, 4835, 6181, 7045, 7650, 508, 1751, 2756, 3366, 4925, 5797, 6974, 7911, 296, 1651, 2348, 3425, 4364, 5401, 6963, 7743, 407, 2059, 2758, 3356, 4415, 5768, 6835, 7439, 493, 2059, 2187, 3684, 5022, 6101, 7068, 7649, 778, 1510, 2937, 3688, 4735, 5719, 6577, 7863, 308, 1399, 2492, 3671, 4743, 5568, 6719, 8078, 211, 1881, 3008, 4145, 4437, 6103, 7157, 8044, 304, 1620, 2598, 3361, 5088, 6175, 6630, 7723, 663, 1797, 3095, 4152, 5058, 5752, 7162, 7948, 390, 1700, 2838, 3909, 5088, 5630, 7230, 7965, 468, 1918, 3033, 3383, 5150, 6040, 7235, 7873, 1008, 2118, 2203, 3298, 4855, 5926, 6611, 7811, 1103, 1821, 3019, 3261, 4855, 5393, 6345, 7704, 820, 1968, 3103, 3623, 4829, 5459, 6614, 8234, 390, 1490, 2881, 3623, 5007, 5966, 6860, 7831, 308, 1490, 3064, 3904, 5138, 5611, 6800, 7536, 552, 2032, 2970, 3994, 5098, 5221, 6581, 7948, 488, 1874, 3135, 3891, 5060, 5661, 7077, 7591, 488, 2017, 2989, 3440, 4624, 6211, 7111, 7876, 818, 2017, 3095, 4071, 4888, 5705, 7201, 7949, 818, 1528, 2746, 3516, 4630, 6139, 7124, 7631, 818, 1528, 3008, 3866, 4630, 6139, 6515, 8223, 186, 1528, 2833, 3440, 4888, 6195, 6677, 8066, 915, 2111, 2914, 3914, 4798, 6137, 7226, 8147, 555, 2111, 2164, 4068, 4512, 6175, 7120, 8223, 915, 2017, 2914, 3891, 4387, 5635, 6752, 8261, 4, 2 ]

[ 1, 48, 75, 44, 54, 5, 14, 78, 5, 43, 45, 78, 5, 41, 45, 64, 66, 5, 41, 52, 14, 65, 66, 5, 41, 20, 63, 76, 35, 30, 5, 43, 48, 5, 43, 33, 52, 30, 5, 28, 14, 51, 5, 16, 5, 52, 45, 66, 16, 52, 5, 16, 54, 30, 5, 43, 45, 78, 5, 41, 69, 52, 5, 64, 66, 63, 33, 55, 51, 67, 5, 76, 11, 78, 5, 54, 11, 66, 5, 44, 54, 5, 31, 16, 5, 28, 52, 57, 5, 5, 3, 488, 1756, 2729, 4174, 4704, 5908, 6589, 8083, 789, 1561, 2293, 3576, 5135, 5684, 6734, 8209, 582, 1692, 2826, 3394, 4751, 5711, 6492, 7775, 346, 1834, 2309, 3448, 5077, 5976, 6986, 7744, 897, 1205, 2629, 3425, 4736, 6034, 7053, 7954, 559, 1692, 2309, 3843, 4678, 5827, 6224, 7852, 781, 1706, 2309, 3248, 4364, 5532, 6730, 7318, 897, 2066, 2610, 4003, 5109, 5224, 7072, 8048, 582, 2072, 2156, 3623, 5001, 5364, 7106, 8031, 761, 2008, 2946, 3599, 5043, 5982, 6576, 8269, 363, 1164, 2330, 4003, 4458, 6221, 6624, 7714, 271, 1363, 2701, 3298, 4982, 6180, 6830, 7992, 405, 1682, 2492, 3941, 4834, 5899, 6642, 8253, 715, 1682, 2940, 3359, 5080, 5843, 6879, 8050, 715, 1525, 2429, 3819, 5098, 5962, 6688, 7473, 115, 2001, 3114, 3788, 5088, 5918, 6646, 7744, 737, 1557, 2429, 3224, 4330, 6149, 6603, 7350, 540, 1283, 2785, 3623, 4364, 5707, 6736, 8259, 363, 1834, 2439, 3270, 4598, 6097, 7043, 7678, 271, 1553, 3007, 3329, 5074, 5498, 6660, 7838, 223, 2081, 2887, 4083, 4841, 6135, 6800, 7687, 386, 1388, 2452, 3426, 5036, 5914, 6800, 7664, 862, 1884, 2693, 3623, 4431, 6179, 7021, 7365, 1023, 1789, 2543, 3276, 5198, 5400, 6565, 7360, 896, 1727, 2675, 3572, 4982, 5460, 6659, 8229, 737, 1280, 2215, 3329, 5031, 6019, 6271, 7983, 1101, 1997, 2593, 3559, 4542, 6118, 6814, 7442, 918, 1402, 2869, 3467, 4571, 5547, 6700, 8210, 840, 1971, 2751, 3155, 5054, 5787, 6828, 7587, 942, 1930, 2751, 3313, 5154, 5756, 7197, 7793, 453, 1850, 2854, 3740, 4845, 5752, 6735, 7816, 518, 1196, 2302, 4074, 5168, 5933, 6550, 7976, 518, 1577, 2302, 4074, 4862, 5534, 6540, 7279, 317, 1519, 2659, 4125, 5115, 5520, 6265, 7275, 448, 1932, 2761, 3605, 4343, 5824, 6965, 7851, 448, 1185, 3033, 3908, 5125, 5918, 7168, 7252, 465, 2033, 3029, 3309, 4684, 5966, 7095, 7563, 1023, 1185, 3126, 3882, 4946, 5322, 6717, 7442, 363, 1185, 2292, 3353, 5129, 5223, 7222, 7973, 920, 1820, 2466, 3706, 4533, 6076, 6550, 7894, 881, 1820, 2244, 3356, 4552, 5379, 6426, 7670, 317, 1675, 2629, 3668, 4435, 5283, 6715, 8098, 228, 1649, 2554, 3376, 4870, 5610, 6466, 8017, 225, 1597, 2167, 3277, 5157, 5413, 6604, 8118, 518, 2061, 3008, 3994, 4681, 6101, 6677, 7383, 518, 1633, 2469, 3391, 5165, 6137, 6612, 7557, 475, 1851, 2970, 3866, 4888, 5385, 7132, 7838, 419, 2030, 3135, 3886, 5083, 5811, 6752, 8061, 256, 1750, 2775, 3364, 4329, 5764, 7239, 7715, 789, 1623, 2473, 4006, 4764, 5385, 6900, 8126, 256, 1750, 2473, 4145, 4870, 5515, 6810, 7716, 256, 2065, 2946, 4166, 4398, 5963, 7201, 7948, 878, 2065, 2542, 3364, 5120, 5246, 7129, 7549, 103, 1881, 2469, 3669, 4379, 5440, 6755, 7971, 138, 1644, 2543, 3298, 4872, 5523, 6800, 7868, 862, 1164, 2380, 3543, 4344, 5495, 6265, 7880, 1023, 1126, 3033, 4060, 4755, 5510, 7022, 8262, 692, 1206, 2725, 3732, 4839, 6222, 6344, 8098, 545, 1234, 3009, 3596, 5077, 5567, 6449, 8179, 942, 1363, 2761, 3910, 4736, 5752, 7018, 8225, 304, 1707, 2454, 3376, 4856, 5578, 6901, 8040, 317, 1794, 3040, 3822, 4844, 5216, 6852, 7260, 225, 1451, 2659, 4097, 4881, 6059, 7232, 7603, 225, 2052, 2542, 4073, 5163, 5624, 6756, 7574, 228, 2127, 2251, 3376, 4888, 5734, 7152, 7477, 228, 1750, 3018, 3359, 4870, 6097, 7239, 8126, 228, 1750, 2833, 3570, 4859, 5650, 7181, 8093, 228, 1345, 2156, 3761, 5179, 5892, 6338, 8126, 228, 1750, 2554, 3879, 5159, 5963, 6996, 7563, 789, 1750, 3046, 4166, 5083, 5515, 7207, 7476, 419, 1851, 2904, 3413, 5159, 5493, 7069, 7664, 915, 2017, 2914, 3595, 4859, 5241, 7129, 7477, 915, 2017, 3065, 4174, 4798, 5635, 7084, 8223, 419, 2017, 2164, 3825, 4798, 5677, 7232, 7766, 915, 2017, 2914, 3825, 4798, 6139, 6794, 8260, 789, 1623, 2554, 3550, 5138, 5413, 6996, 7716, 105, 2118, 2941, 3838, 4644, 6157, 6677, 8236, 488, 2111, 2970, 3914, 4870, 5534, 7069, 8147, 201, 1528, 2806, 3825, 4624, 6139, 6996, 8147, 201, 1528, 2806, 3825, 4624, 6139, 7124, 8147, 201, 1528, 2164, 3825, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 419, 1648, 2164, 3893, 4398, 5241, 7006, 7717, 789, 1525, 2164, 3595, 4890, 6149, 6338, 7476, 789, 1648, 2554, 4113, 5138, 5241, 6607, 8126, 256, 1750, 3021, 3394, 4549, 6149, 6895, 7865, 256, 1851, 2880, 3914, 4398, 5678, 6988, 7477, 518, 2097, 2473, 4168, 4437, 5241, 6443, 8147, 256, 1858, 2970, 3932, 4836, 6137, 6589, 8076, 256, 2013, 2163, 3803, 5193, 5614, 6688, 7260, 105, 1623, 3144, 4006, 4622, 5719, 6889, 7717, 857, 1827, 2970, 3932, 4191, 6123, 6589, 7698, 685, 1280, 2869, 3474, 4670, 5810, 6976, 8087, 271, 1725, 2282, 3869, 4999, 6167, 6333, 7833, 271, 1337, 2725, 3351, 4273, 5272, 6773, 7675, 635, 1826, 2227, 3882, 4992, 5297, 6573, 7400, 875, 1826, 2997, 3573, 4645, 5722, 7164, 8183, 966, 1302, 3058, 3936, 4601, 5925, 6998, 8065, 179, 1296, 2306, 3512, 4410, 5791, 6672, 7889, 673, 1402, 2981, 3270, 4239, 5658, 6573, 8263, 868, 1997, 2872, 4098, 5123, 5962, 6538, 7969, 942, 1905, 3037, 3742, 4709, 5408, 6513, 7898, 271, 2106, 2189, 3720, 4720, 6113, 6412, 8101, 1102, 2033, 2839, 3567, 5079, 5516, 6532, 7503, 211, 1397, 3062, 4135, 4497, 5638, 6755, 8200, 405, 1876, 2596, 4097, 4994, 5263, 6465, 7869, 617, 1311, 2839, 3588, 5166, 6156, 7120, 7707, 568, 2013, 2839, 3687, 4344, 5521, 7160, 7527, 225, 1564, 3147, 4124, 5168, 5594, 6966, 7275, 183, 1112, 2469, 3689, 4478, 5548, 6463, 8080, 183, 1851, 2953, 3550, 5159, 6160, 6701, 7887, 256, 1695, 2659, 4113, 4329, 5811, 6515, 7697, 256, 1289, 2359, 3900, 4549, 5730, 7160, 8164, 555, 1851, 2946, 3803, 4681, 5436, 7077, 8130, 568, 2097, 2775, 4113, 5179, 5419, 6604, 7927, 568, 1826, 2669, 3711, 4844, 5677, 7069, 8130, 789, 2106, 2946, 3680, 4423, 5981, 6717, 7706, 789, 2106, 3065, 3893, 4859, 5219, 6604, 7563, 256, 1750, 2875, 3891, 4398, 5413, 7160, 7838, 789, 2106, 2554, 4071, 4775, 5413, 6515, 8164, 789, 1345, 2781, 4113, 4287, 5635, 6809, 7716, 256, 1750, 2473, 4174, 4329, 5514, 7120, 8236, 579, 1833, 2729, 3909, 4609, 5385, 6715, 7622, 271, 1899, 2771, 3575, 5022, 6114, 7024, 7927, 128, 1469, 2134, 3779, 5074, 5958, 6328, 8189, 360, 2050, 2710, 3388, 4953, 5408, 6304, 7627, 728, 1727, 2137, 3254, 4795, 6155, 6304, 7926, 314, 1318, 2137, 3830, 4288, 6016, 6550, 7983, 784, 1550, 2749, 3286, 5031, 5828, 6237, 7929, 887, 1656, 2137, 3908, 4474, 6204, 6863, 7401, 150, 1874, 2923, 3227, 4865, 6073, 6797, 7827, 150, 1251, 2144, 3928, 4774, 6030, 6938, 7707, 150, 2056, 2571, 3227, 4417, 5807, 6333, 7611, 895, 1478, 2923, 3856, 4875, 5863, 6595, 8169, 1008, 1858, 2877, 4086, 4215, 5819, 7114, 8189, 344, 1659, 2946, 3513, 5001, 5618, 6391, 7530, 1057, 1244, 2559, 3937, 4321, 5954, 6352, 7535, 992, 2036, 2440, 3259, 5078, 5550, 7181, 8126, 1038, 1369, 2440, 3187, 4796, 5570, 6467, 8211, 692, 1758, 2258, 3429, 4607, 5782, 6710, 7640, 620, 1758, 2196, 4008, 4784, 5703, 6603, 7490, 692, 1758, 2235, 3517, 4415, 6173, 7188, 7528, 1038, 1732, 2848, 3342, 4796, 6002, 6612, 8133, 1084, 1118, 2625, 3979, 4720, 5459, 6438, 7816, 833, 1139, 2839, 3376, 4615, 5276, 7207, 7485, 211, 1881, 2792, 4166, 4670, 5378, 6740, 7723, 211, 1635, 3007, 3990, 4297, 5385, 6716, 7367, 397, 2107, 3019, 3662, 5135, 5221, 6241, 7487, 569, 2118, 2222, 3741, 4386, 6187, 6871, 8169, 678, 1918, 2332, 3576, 4259, 6107, 6260, 7904, 1079, 1349, 2912, 3918, 4433, 6119, 7058, 7648, 1097, 1623, 2833, 4150, 4918, 5661, 7168, 7948, 818, 1856, 3110, 3516, 4630, 6211, 6809, 8267, 818, 1175, 2991, 4085, 5058, 6211, 6794, 8179, 915, 1528, 2914, 3914, 5104, 5678, 7201, 8223, 859, 1623, 2833, 3407, 4287, 5550, 6794, 8126, 859, 1974, 2833, 4071, 5138, 5678, 7218, 8260, 617, 1564, 2175, 3873, 4583, 6081, 6612, 7806, 617, 1974, 2340, 4166, 4624, 5223, 6900, 7744, 617, 1750, 2775, 4171, 4399, 5241, 7165, 8076, 859, 2002, 2740, 3827, 4512, 5438, 6988, 7715, 617, 1750, 2775, 4071, 4512, 5873, 7160, 8164, 859, 2002, 2970, 4145, 4681, 6205, 7239, 7563, 859, 1304, 3064, 3374, 4583, 5296, 6584, 8262, 859, 2127, 2833, 3374, 4583, 5580, 6589, 7563, 859, 2002, 2970, 3873, 5160, 6149, 7077, 8261, 859, 2127, 2560, 4068, 4398, 5436, 6752, 7732, 859, 1974, 2554, 3891, 4890, 5764, 7006, 7723, 105, 1750, 2833, 3827, 4622, 5219, 6996, 7732, 859, 1750, 2970, 4006, 4764, 5635, 7077, 7732, 859, 1750, 3065, 3374, 4798, 5438, 7006, 7677, 555, 1623, 3021, 3374, 4859, 5436, 7091, 8080, 555, 1623, 3021, 3893, 4512, 5219, 7152, 7715, 555, 1876, 2970, 3803, 4681, 5635, 6584, 7717, 555, 1147, 2970, 3873, 4387, 5219, 7077, 7485, 488, 1528, 3021, 3825, 4624, 6139, 6589, 8126, 142, 2017, 2806, 4071, 4704, 6186, 6794, 8223, 488, 1528, 3065, 3893, 4624, 6186, 7207, 8196, 757, 1550, 2803, 3771, 5076, 6001, 6612, 8076, 715, 1281, 2872, 3649, 4398, 5843, 6979, 7732, 318, 1905, 2542, 4102, 5026, 6116, 6255, 7948, 323, 1834, 2994, 3270, 4421, 6130, 7203, 8248, 807, 1863, 2923, 3356, 4795, 6135, 6830, 8098, 487, 1302, 2253, 3245, 5184, 5224, 7181, 8189, 613, 1167, 2464, 3924, 4902, 5512, 6334, 7983, 613, 1721, 3147, 3394, 4421, 5673, 7112, 8217, 613, 1808, 2271, 4168, 4321, 5792, 6605, 8012, 857, 1915, 2554, 3945, 5088, 6034, 6348, 7966, 231, 2021, 2254, 4103, 4918, 5550, 6668, 7476, 756, 1167, 3149, 4011, 4589, 5892, 7129, 7528, 356, 1978, 3008, 3595, 5036, 5280, 6671, 7774, 390, 1876, 2222, 3420, 4755, 5352, 6443, 7717, 613, 1644, 2636, 3873, 5183, 6180, 6901, 7962, 942, 1876, 3078, 4028, 4387, 6032, 6962, 8131, 271, 1585, 2952, 3880, 4867, 6041, 7095, 8190, 1036, 1637, 2725, 3429, 5044, 5939, 7127, 7727, 692, 1373, 2725, 3567, 4741, 5938, 6412, 7767, 840, 1789, 3030, 3525, 4968, 5224, 7148, 7438, 1064, 1301, 3040, 3770, 4378, 5574, 7024, 7826, 992, 1173, 3040, 3319, 4824, 5843, 6354, 7921, 1003, 1151, 2250, 3372, 5124, 5799, 6510, 7508, 262, 1440, 2700, 3442, 5138, 5475, 6835, 7738, 731, 1469, 2258, 3928, 4324, 6025, 7157, 7545, 391, 2050, 2937, 3381, 4320, 5588, 7100, 7555, 1024, 2035, 3040, 3783, 4535, 5966, 6849, 8269, 970, 1469, 2940, 3826, 4983, 5255, 6513, 8261, 767, 1175, 2858, 3777, 4391, 6215, 6247, 8229, 304, 1974, 2710, 3838, 4890, 6064, 6588, 7570, 940, 1773, 2946, 3407, 4337, 6191, 7120, 8018, 512, 1747, 3098, 3487, 5085, 5978, 7120, 7876, 512, 1620, 3135, 3188, 5166, 5883, 6786, 8195, 512, 1919, 2957, 3516, 4583, 5219, 6786, 8080, 308, 1791, 2989, 3945, 4900, 5883, 7111, 8260, 684, 1620, 2947, 3226, 5061, 6051, 7201, 7949, 804, 1791, 3135, 3671, 4583, 5883, 6979, 7421, 868, 1965, 2365, 3671, 4440, 5784, 6746, 8239, 875, 1149, 2494, 3882, 5055, 5313, 7193, 8096, 737, 1503, 2641, 3524, 4316, 5929, 6316, 7808, 1101, 1346, 2861, 3865, 4937, 5990, 6637, 7402, 611, 2118, 2692, 3378, 4882, 5345, 6461, 7852, 725, 1688, 2836, 3785, 4570, 5224, 6506, 7591, 1067, 1971, 2204, 3911, 4734, 6059, 6585, 7556, 160, 1566, 2380, 3220, 4712, 5348, 6344, 7384, 1102, 1782, 2596, 3826, 4897, 5504, 6962, 8083, 1099, 1700, 2238, 3866, 4374, 5694, 6633, 7807, 984, 1847, 2880, 3990, 5106, 5359, 7095, 8083, 337, 1998, 2880, 3188, 4888, 5210, 6408, 8083, 186, 1528, 2991, 3990, 4888, 5883, 7120, 7807, 579, 1825, 2709, 3540, 4918, 5968, 7220, 7428, 91, 1233, 2886, 3762, 4549, 5522, 6717, 7581, 216, 1234, 3144, 3788, 4753, 5836, 6709, 7901, 386, 2036, 2207, 4150, 4238, 5944, 7031, 7540, 840, 1655, 2933, 3842, 4547, 5722, 7033, 7825, 826, 1585, 2515, 4102, 4195, 5253, 7227, 8149, 826, 1838, 2536, 3675, 5110, 5991, 6267, 7985, 826, 1199, 2902, 3675, 5193, 5344, 6458, 8266, 778, 1633, 2901, 3701, 4859, 5633, 7109, 8105, 613, 1700, 2404, 3300, 4887, 5623, 6458, 7416, 462, 1299, 2974, 3749, 5022, 5782, 6460, 7554, 443, 1828, 2727, 3943, 4288, 6016, 6640, 7817, 535, 1555, 2867, 3943, 4729, 5344, 6550, 7953, 993, 1531, 2688, 3416, 4238, 5610, 6252, 7771, 993, 1531, 2688, 3421, 4982, 5384, 6542, 7420, 1001, 2009, 2282, 3427, 4883, 5615, 6853, 7480, 645, 1141, 2556, 3909, 5143, 5485, 6324, 8012, 575, 1787, 2887, 3975, 4762, 5953, 6254, 8117, 678, 1490, 2348, 3352, 4189, 5677, 6302, 7774, 271, 2050, 2222, 3894, 4332, 5344, 6708, 7975, 1067, 1674, 2736, 4046, 4916, 5425, 6792, 7659, 569, 1838, 2261, 4015, 4321, 5994, 6273, 7682, 1008, 1117, 2175, 4128, 4253, 5867, 6224, 8188, 1008, 2053, 2173, 3446, 4494, 6067, 6365, 7843, 1008, 2053, 2173, 4007, 4399, 6067, 6921, 8030, 992, 2036, 2175, 3721, 4379, 5408, 6791, 7254, 344, 1838, 2559, 3213, 4314, 5604, 6881, 7394, 113, 1177, 2173, 3836, 4637, 5966, 7229, 8008, 508, 1821, 2374, 3479, 4248, 5476, 6476, 7675, 1102, 1454, 2212, 3463, 4689, 5824, 6563, 7503, 804, 2068, 2941, 3680, 4276, 6211, 6627, 7290, 484, 2068, 2947, 4114, 5104, 6014, 6613, 8078, 935, 1620, 3008, 3886, 4861, 5219, 7111, 7753, 818, 1856, 2996, 4115, 4822, 6103, 6709, 8267, 488, 2064, 2989, 4085, 4551, 6081, 6972, 7723, 859, 1345, 2833, 4006, 5160, 5901, 6740, 8179, 859, 1564, 2880, 3391, 5088, 5892, 6584, 7723, 555, 2032, 3021, 3825, 4890, 5901, 6891, 8237, 488, 1622, 2914, 4018, 5060, 5832, 6709, 8080, 555, 1844, 2960, 4108, 5038, 5612, 6810, 8185, 859, 2068, 2833, 4113, 5106, 6129, 6589, 8076, 489, 1915, 2487, 3771, 4993, 6110, 6486, 8266, 640, 1601, 2409, 3667, 4408, 6119, 6386, 7574, 830, 1349, 3051, 3576, 4865, 5576, 6476, 7873, 830, 1140, 3116, 3583, 4528, 6125, 6393, 7930, 793, 1695, 2316, 3329, 5031, 5427, 7070, 7834, 731, 2055, 3080, 3707, 4213, 6007, 6403, 7930, 826, 1676, 2492, 3707, 4896, 5765, 6871, 8016, 610, 1306, 2492, 3233, 4385, 5212, 7007, 7426, 1084, 1747, 2741, 3651, 4321, 5951, 6749, 7704, 397, 1850, 2550, 3536, 4482, 5703, 6909, 8132, 487, 1794, 2332, 3537, 4664, 5576, 6740, 7868, 487, 1552, 2352, 3533, 4595, 5752, 6856, 7869, 923, 1397, 2328, 4073, 5106, 5874, 6816, 8067, 1059, 1330, 2867, 3851, 4354, 5676, 6735, 8112, 225, 1986, 3029, 3340, 4261, 5610, 6888, 7513, 225, 1949, 2454, 4092, 4925, 6110, 6348, 8164, 225, 1851, 2317, 3251, 4297, 5548, 6717, 7538, 225, 1851, 2941, 4011, 4859, 6149, 6900, 7715, 225, 2060, 3040, 3838, 5167, 5935, 6671, 7537, 518, 2002, 2869, 3364, 4214, 6160, 7207, 7563, 256, 1752, 2250, 3891, 5190, 6110, 6829, 7706, 789, 2030, 2554, 3470, 4583, 6182, 6889, 7806, 789, 2030, 2560, 3595, 4287, 6149, 7160, 7641, 789, 1525, 2669, 4071, 4993, 5514, 7069, 8164, 789, 1525, 2729, 3771, 5159, 5438, 6604, 8132, 256, 2030, 2542, 3873, 4888, 6085, 6589, 7557, 518, 2097, 2554, 3596, 4681, 5556, 6579, 7641, 568, 2030, 2957, 4171, 5120, 6160, 6704, 7592, 1088, 1265, 2729, 4168, 5129, 5705, 7241, 8130, 716, 1120, 3094, 3882, 4391, 5359, 6771, 7852, 271, 1469, 2855, 4050, 4903, 5992, 6284, 7458, 249, 1469, 2726, 4132, 4472, 5245, 6378, 7618, 784, 1469, 3145, 3678, 4510, 5454, 6942, 8234, 150, 1928, 2822, 3795, 4195, 6065, 6910, 7885, 271, 1167, 2307, 4073, 5029, 5359, 6812, 7827, 150, 2008, 2307, 4100, 4982, 5484, 6582, 8173, 776, 1818, 2173, 3845, 4966, 6210, 6283, 7724, 643, 1984, 2970, 4128, 4537, 6220, 6540, 8232, 1081, 2068, 2727, 3671, 4783, 5493, 6810, 7677, 940, 1370, 2991, 4068, 5129, 5534, 7084, 8034, 1102, 1682, 2167, 4078, 5159, 6050, 6588, 7673, 211, 1585, 3092, 4151, 4179, 5500, 7132, 8210, 756, 1596, 2348, 3932, 4822, 5561, 6840, 7908, 225, 2002, 2678, 3680, 4844, 6058, 7241, 7386, 225, 2060, 2868, 3986, 5079, 6146, 6291, 7707, 225, 1736, 2791, 3711, 4859, 6175, 7120, 8185, 225, 1108, 2775, 3444, 5079, 5218, 7120, 7570, 225, 1424, 2181, 3857, 5134, 5425, 6671, 7959, 228, 1706, 2468, 3754, 4555, 6205, 6809, 7677, 228, 1347, 2858, 3425, 4522, 6103, 6430, 8130, 256, 1496, 2454, 3726, 4594, 6205, 7038, 8076, 105, 2106, 2941, 4068, 4916, 5438, 6604, 7563, 153, 2002, 2332, 3550, 5138, 5778, 7181, 7865, 541, 1119, 2718, 4113, 4186, 5436, 6908, 7973, 878, 1141, 3026, 3873, 5075, 5296, 7043, 8185, 948, 1668, 3006, 3430, 4801, 6148, 6410, 7806, 1067, 1545, 2432, 3767, 4338, 5835, 6563, 8060, 249, 1504, 2905, 3219, 4705, 5414, 6751, 8180, 737, 1758, 2593, 3547, 4544, 5891, 6768, 7385, 465, 1388, 2506, 3943, 4684, 6153, 6916, 7965, 986, 1536, 2389, 3601, 4708, 5492, 6761, 8015, 986, 1932, 3039, 3631, 4678, 5751, 6710, 7615, 103, 1399, 2250, 3498, 4981, 5620, 6899, 7712, 1011, 1141, 2797, 4103, 5054, 5921, 7118, 7869, 663, 1876, 2440, 3393, 4333, 5609, 6584, 7791, 424, 1972, 2926, 3776, 4536, 5981, 6734, 7753, 211, 1989, 2926, 3873, 5104, 5641, 7114, 8076, 914, 1545, 2326, 4166, 5145, 5219, 6786, 8195, 473, 2032, 2912, 3709, 5058, 6087, 6968, 7473, 789, 2000, 3021, 3710, 4529, 6195, 6584, 8236, 518, 2030, 2560, 3662, 5135, 5950, 6604, 8075, 878, 1597, 3026, 3855, 5135, 5436, 6251, 7574, 552, 2065, 2488, 3582, 5167, 5767, 6563, 7476, 484, 2065, 2454, 3595, 5088, 5548, 6430, 7563, 484, 2088, 3110, 3932, 5038, 5767, 7207, 7716, 186, 1833, 2806, 3932, 4704, 6205, 6786, 8260, 201, 1528, 2806, 3932, 4704, 5963, 6688, 8179, 142, 2017, 2914, 3825, 4704, 5901, 7226, 8223, 488, 2017, 3065, 3893, 4624, 5635, 7077, 8147, 142, 1528, 2914, 3893, 4798, 6186, 7077, 8223, 142, 1528, 2914, 3893, 4798, 6186, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1528, 2914, 3893, 4624, 6081, 6794, 8196, 915, 1851, 3144, 3914, 5060, 5241, 6589, 7782, 685, 1233, 2167, 4067, 5053, 6063, 6891, 7477, 1052, 2035, 2266, 3978, 5051, 5994, 6284, 7755, 781, 1141, 2850, 3843, 5114, 5302, 6476, 8158, 739, 2033, 2850, 4021, 4364, 5478, 6532, 7997, 465, 1497, 2693, 4037, 4364, 5790, 6924, 7964, 927, 1826, 2797, 3213, 4478, 5917, 6719, 7503, 225, 1171, 2420, 3920, 4449, 6076, 6614, 7680, 225, 1736, 3091, 3359, 4231, 5911, 6864, 7913, 654, 1108, 2529, 3364, 4586, 5914, 6604, 7981, 228, 1851, 2554, 4096, 4867, 5892, 6291, 8066, 715, 2068, 2542, 3363, 4334, 5792, 6401, 7254, 1099, 2000, 2309, 3886, 5089, 5549, 6889, 8266, 216, 1467, 2794, 3886, 4496, 6181, 6972, 7794, 1033, 1773, 2515, 3917, 4602, 5616, 7197, 8261, 299, 1227, 2165, 4143, 4510, 6070, 7160, 7852, 299, 1633, 2384, 3965, 4565, 5538, 6550, 7248, 299, 1439, 2165, 4168, 4691, 5610, 6850, 8213, 536, 2053, 2920, 3245, 4467, 6065, 6870, 7524, 462, 1376, 2670, 3479, 4982, 6141, 6574, 7909, 313, 1583, 2173, 4034, 5195, 6104, 7229, 7800, 508, 1455, 3146, 3519, 4364, 6066, 6319, 8013, 895, 1177, 2173, 3467, 5053, 5302, 7236, 8138, 1067, 2043, 2956, 3749, 4514, 5351, 6650, 7933, 692, 1838, 3132, 3584, 4718, 5658, 6494, 7930, 113, 1199, 2299, 4146, 4672, 5824, 6775, 7756, 763, 1633, 2737, 3533, 4607, 5918, 6569, 8056, 981, 1976, 2429, 3717, 5193, 5585, 6849, 8233, 308, 2000, 2429, 3478, 5069, 5901, 6486, 7558, 804, 1933, 2661, 3912, 5080, 5413, 6769, 8261, 308, 1623, 2838, 4006, 5038, 5413, 6874, 7716, 1090, 1797, 2837, 3298, 4437, 5883, 6889, 7485, 844, 1832, 2750, 3413, 5001, 5482, 6412, 7597, 1071, 1924, 2448, 3225, 4902, 6160, 6224, 8231, 993, 1116, 2156, 3204, 4440, 5884, 6234, 7479, 271, 1555, 2736, 4103, 4205, 5793, 6954, 7883, 1025, 1200, 3080, 3756, 5165, 5765, 6604, 8224, 271, 1914, 3080, 4162, 4536, 6007, 6613, 7952, 386, 1831, 2678, 3433, 4691, 5472, 6888, 7583, 150, 2008, 2436, 3271, 4651, 5475, 7218, 8043, 826, 1255, 2515, 4039, 4617, 6128, 7114, 7336, 610, 1238, 2678, 3787, 4318, 5210, 6708, 7733, 920, 1939, 2939, 3869, 4438, 6184, 7140, 7608, 944, 1503, 2939, 3869, 4930, 5260, 6903, 7496, 344, 1117, 2296, 3936, 4495, 5427, 6415, 8140, 1011, 1897, 2312, 3469, 5092, 6066, 6586, 7498, 390, 1717, 2476, 3767, 5088, 6141, 6810, 7420, 390, 1881, 2998, 4114, 4589, 5989, 6613, 7563, 308, 1218, 3006, 3540, 5080, 6025, 7218, 7949, 211, 1881, 3135, 3440, 4366, 5534, 7239, 7641, 211, 1897, 2936, 3886, 4343, 5694, 6752, 7485, 160, 1265, 2988, 3516, 5139, 6103, 6771, 8266, 895, 1345, 2421, 3478, 5184, 5954, 6258, 7487, 462, 2008, 2207, 3452, 4332, 6194, 6532, 7996, 299, 2050, 2678, 3651, 4361, 6167, 6503, 7463, 895, 2026, 2923, 4110, 4548, 5311, 6571, 8140, 363, 2050, 2129, 3752, 5155, 5596, 6644, 7956, 964, 2050, 2902, 3703, 4932, 5332, 7043, 7787, 1008, 1674, 2835, 3999, 4571, 5862, 7221, 8019, 265, 1489, 2173, 3707, 4591, 5685, 6978, 7574, 1003, 1773, 2580, 3756, 4230, 5387, 7246, 7779, 235, 2008, 3151, 3968, 4661, 6215, 6579, 7798, 235, 1244, 2971, 3811, 4932, 5889, 6939, 7881, 371, 1777, 3112, 3974, 5158, 5280, 6348, 8026, 110, 1913, 2515, 3909, 5134, 5586, 6351, 7904, 110, 2081, 2741, 4101, 5141, 5929, 6898, 7870, 450, 1369, 2741, 3982, 5142, 5796, 7127, 8213, 779, 2064, 2493, 3803, 4439, 5761, 6563, 7264, 914, 1475, 2941, 4114, 4925, 6141, 6408, 8195, 288, 1992, 3060, 4085, 4555, 5968, 6830, 8076, 427, 1847, 2941, 4097, 4215, 5245, 7084, 7764, 427, 2046, 3007, 3982, 4555, 6129, 7162, 8076, 914, 1218, 2984, 3188, 4925, 6211, 6840, 8267, 1099, 1508, 2991, 3945, 4555, 5241, 7132, 7918, 915, 2032, 2960, 3226, 4704, 6103, 7077, 7485, 488, 2017, 3110, 4011, 4624, 5705, 7124, 8223, 488, 1528, 2164, 3893, 4624, 6139, 7077, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7239, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8147, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 5635, 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, 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, 28, 17, 66, 5, 64, 48, 53, 30, 5, 50, 17, 64, 66, 5, 14, 78, 5, 77, 73, 79, 16, 76, 16, 52, 5, 5, 5, 14, 64, 51, 66, 5, 31, 16, 5, 36, 52, 5, 5, 3, 186, 2046, 3135, 3886, 5038, 6129, 6752, 8147, 488, 1998, 3117, 3516, 4704, 5385, 6752, 8147, 956, 1648, 2949, 3893, 5061, 6139, 6786, 7782, 956, 1648, 3095, 3866, 4870, 6211, 6979, 8260, 839, 2025, 3075, 4005, 5138, 5965, 6431, 7781, 280, 1865, 2868, 3878, 5008, 6073, 6847, 7524, 404, 1614, 3137, 3337, 4346, 5790, 7086, 7902, 448, 1171, 2955, 3709, 4346, 5894, 7071, 7721, 1099, 1773, 2991, 3885, 4551, 5210, 6338, 8237, 789, 1281, 2991, 3680, 4900, 5436, 6584, 7965, 518, 1906, 2788, 3879, 4592, 5413, 6412, 7918, 127, 1753, 3135, 3588, 4353, 5360, 7009, 7957, 195, 1597, 2659, 3803, 4374, 5778, 6338, 8261, 127, 2111, 3021, 4174, 4638, 5514, 7111, 8261, 518, 2127, 2542, 3487, 4863, 5515, 6579, 7706, 240, 1304, 2341, 3832, 4859, 5500, 7100, 8076, 195, 2127, 2654, 4166, 4681, 6086, 6607, 8130, 654, 2106, 2181, 3595, 5166, 5624, 6996, 8080, 195, 1645, 2468, 4025, 4775, 5890, 6688, 8135, 568, 1185, 2946, 3515, 4638, 5586, 7019, 7918, 103, 2084, 2905, 4114, 5061, 5963, 6494, 7906, 204, 1808, 2167, 4124, 5193, 5981, 6234, 7985, 1098, 1928, 2794, 3623, 4736, 6194, 6566, 8101, 582, 1388, 2994, 3648, 5193, 5470, 6461, 7498, 986, 2067, 3080, 4128, 4236, 5987, 6816, 7479, 545, 2024, 2678, 4030, 4278, 5532, 6579, 7442, 731, 2091, 3021, 4120, 5165, 5832, 6224, 7948, 223, 1972, 2887, 3973, 5169, 5950, 6918, 8202, 1033, 2095, 2429, 3405, 5145, 5314, 7168, 7852, 223, 2102, 2944, 3892, 5073, 6014, 7111, 7703, 767, 1688, 2911, 3292, 5171, 6007, 6579, 7955, 731, 1269, 2945, 3853, 5165, 5344, 7000, 8209, 223, 1708, 2429, 3655, 4895, 5752, 6702, 7737, 807, 1736, 2728, 3814, 4613, 5444, 6735, 8200, 1090, 1721, 2783, 3469, 4822, 5493, 7204, 7485, 663, 1797, 3080, 3766, 5080, 5978, 7114, 7481, 356, 1566, 2980, 3424, 5139, 5561, 7085, 7563, 225, 1685, 2396, 3555, 4592, 5790, 6829, 7476, 1020, 1706, 2826, 3789, 4664, 5943, 7012, 8216, 757, 1460, 2980, 3363, 4580, 5276, 6579, 8207, 115, 1930, 2886, 4132, 5124, 5734, 6763, 7908, 840, 1282, 2281, 4003, 4804, 5412, 6830, 7997, 840, 1211, 2625, 4151, 4751, 5715, 7126, 7409, 943, 1496, 2298, 3669, 4664, 6002, 6328, 7736, 840, 1158, 2310, 3794, 4845, 5668, 7028, 7397, 1067, 1496, 2231, 3841, 4620, 5950, 6651, 8033, 373, 1212, 2239, 3459, 4942, 6101, 7217, 7881, 390, 1791, 2959, 3240, 4335, 6014, 7091, 7481, 617, 1675, 2461, 4155, 4670, 5830, 6443, 7926, 654, 2002, 2842, 4126, 4920, 6175, 6820, 7715, 127, 1210, 3040, 3541, 5095, 5630, 7091, 7941, 228, 1326, 2669, 4006, 5079, 5963, 6752, 7715, 240, 2078, 2880, 3394, 4764, 5438, 7239, 7728, 256, 2068, 3064, 3680, 4764, 5892, 7239, 7791, 789, 1851, 2746, 3407, 5138, 5892, 7077, 8130, 789, 1851, 2746, 3803, 4287, 6110, 6996, 7303, 419, 2017, 3135, 3803, 5138, 5705, 6752, 7876, 915, 1528, 2806, 3825, 4630, 6195, 7201, 7641, 240, 2097, 2957, 4026, 4980, 5963, 7160, 7498, 228, 1399, 3144, 3316, 5160, 5350, 7095, 7485, 408, 1382, 3053, 3770, 5052, 5677, 6668, 7826, 1003, 1400, 2312, 3838, 4954, 6024, 6592, 7604, 862, 1315, 2271, 4155, 4385, 5455, 6898, 7538, 862, 1281, 2402, 4128, 5154, 5913, 6736, 7964, 448, 1164, 3074, 3533, 4616, 6135, 6810, 7457, 828, 1688, 2271, 3500, 5128, 5873, 6861, 7297, 576, 1227, 2448, 3536, 4539, 5565, 7075, 7298, 225, 2053, 2129, 3792, 5135, 5844, 7085, 7546, 225, 1675, 2614, 3323, 4351, 5292, 6924, 7675, 225, 1918, 2370, 3363, 5150, 5202, 6260, 8146, 756, 1706, 3144, 3307, 4949, 5587, 6671, 7877, 1059, 1330, 3033, 3513, 4675, 6137, 6614, 7440, 397, 1572, 2701, 3613, 4306, 5588, 7229, 7442, 103, 2053, 2559, 3543, 4807, 5866, 6953, 8072, 1033, 1635, 2440, 3931, 4929, 5706, 6670, 8240, 504, 1732, 2795, 3873, 5151, 5589, 7224, 8181, 223, 1566, 3091, 3446, 5184, 5844, 6476, 8057, 504, 1252, 2924, 3356, 4602, 5580, 6849, 7396, 386, 1509, 3091, 3584, 5084, 5565, 6914, 7837, 504, 2009, 2933, 3601, 4330, 6221, 6812, 8032, 784, 1682, 2595, 3286, 4898, 5475, 7141, 7724, 887, 2033, 2339, 3869, 4470, 6000, 6477, 7945, 150, 1867, 2321, 4162, 4330, 5873, 6966, 7598, 1029, 1814, 2321, 3316, 5183, 5528, 7232, 7644, 887, 1563, 2595, 3996, 4981, 5884, 6953, 7948, 1025, 1937, 2495, 3928, 5175, 5794, 6633, 7498, 802, 1797, 2309, 3498, 4297, 5898, 6905, 8082, 150, 2059, 3091, 4043, 5012, 5320, 6732, 7615, 1025, 1971, 2188, 3909, 4804, 5865, 7219, 8033, 103, 1554, 2383, 3233, 4213, 6010, 6800, 8190, 183, 1403, 2801, 3352, 5124, 5706, 6701, 7718, 568, 1954, 2740, 3670, 4397, 5461, 6607, 8238, 421, 1858, 2288, 3966, 4949, 5936, 6426, 8236, 757, 1460, 2946, 3648, 4849, 5276, 6830, 8262, 844, 1736, 2872, 3966, 5106, 5611, 6924, 7727, 1033, 1794, 2254, 4067, 5088, 5379, 6348, 7303, 1029, 1399, 2128, 3306, 4542, 5300, 7230, 7982, 993, 1146, 3092, 3634, 4635, 5636, 6619, 8081, 993, 2035, 2805, 3187, 4780, 5866, 6803, 7603, 1029, 1146, 2984, 3940, 4751, 5893, 6936, 7945, 784, 1318, 2192, 3410, 4368, 6210, 6668, 7721, 150, 1984, 2392, 3323, 4857, 6000, 6493, 7525, 643, 2102, 2313, 3906, 5148, 5710, 7192, 7288, 1009, 1641, 3085, 4138, 4963, 5775, 6536, 7987, 271, 1279, 2937, 3808, 4678, 5678, 7030, 8087, 692, 2050, 2731, 4087, 4987, 5524, 7030, 8046, 864, 1468, 3088, 3254, 4760, 5745, 6969, 7840, 1024, 1135, 2137, 3164, 4469, 6070, 7136, 7350, 938, 1912, 2425, 3326, 4543, 5479, 7127, 7697, 1016, 1668, 2966, 3256, 4278, 5614, 6743, 7746, 831, 1727, 2312, 4100, 4447, 6142, 6306, 7807, 831, 1727, 3064, 3393, 4512, 5245, 6566, 8137, 779, 1508, 3043, 4041, 5159, 6131, 6988, 7557, 510, 1467, 2989, 4018, 5038, 6211, 6709, 7764, 510, 1705, 3095, 3575, 5058, 6123, 7132, 7256, 818, 1175, 3128, 4174, 4630, 6103, 6786, 8147, 510, 1750, 3128, 4150, 4287, 6186, 7132, 8196, 818, 2017, 2989, 4114, 4583, 6129, 7124, 8147, 818, 2017, 3006, 3188, 4822, 5968, 7084, 7723, 818, 2017, 2914, 3866, 4630, 6186, 7084, 7766, 488, 1528, 2914, 3893, 4782, 6139, 7239, 8196, 488, 1622, 2914, 3893, 4624, 6139, 7124, 7766, 488, 1528, 2914, 3893, 5038, 6139, 7201, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8260, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8196, 488, 2017, 3065, 3893, 4798, 6139, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 555, 1648, 3065, 3891, 4398, 5635, 6677, 8237, 844, 1560, 2946, 3530, 4641, 5840, 6598, 7827, 793, 1510, 2549, 3216, 5188, 6194, 7219, 7777, 278, 1116, 2156, 3667, 4340, 5526, 6913, 8045, 623, 2109, 2751, 3225, 5155, 6089, 6793, 7542, 897, 1108, 2670, 3422, 4689, 6086, 7213, 8124, 113, 2067, 2810, 3955, 4404, 6135, 6581, 8091, 802, 1520, 2567, 3261, 4346, 6135, 6234, 7362, 160, 1992, 2946, 3795, 4459, 5869, 6911, 7586, 715, 1209, 2956, 3943, 4638, 5490, 6775, 7870, 568, 2118, 2163, 3684, 4521, 5276, 6889, 8199, 195, 1596, 2775, 3753, 5150, 5672, 6871, 7492, 654, 2002, 2358, 4011, 5138, 6194, 6677, 7668, 518, 1424, 3133, 3623, 4983, 5581, 6604, 7823, 518, 1424, 2554, 3764, 4918, 5863, 7098, 8227, 240, 1750, 3000, 3803, 5159, 6048, 6996, 8185, 818, 2017, 2914, 3595, 4859, 5296, 7084, 7766, 818, 1622, 2806, 4174, 5080, 6081, 7207, 8080, 555, 1998, 2806, 3550, 4782, 6139, 6972, 8185, 789, 1304, 2754, 3746, 4555, 5586, 7084, 8141, 767, 1700, 2838, 3891, 4848, 5840, 6918, 7557, 611, 1164, 2314, 3807, 4954, 5665, 6293, 7880, 266, 1550, 2656, 3770, 4530, 5454, 6900, 7537, 807, 1778, 2751, 3970, 4993, 5979, 7219, 7505, 504, 1954, 2874, 3540, 4949, 6189, 6224, 8128, 643, 1561, 2661, 3219, 4829, 5696, 6749, 7873, 504, 1388, 2543, 3986, 4181, 5454, 6307, 7964, 386, 1732, 2661, 3407, 4623, 6184, 6265, 7908, 784, 1561, 2870, 3298, 4417, 5745, 7000, 7291, 540, 1510, 2506, 3533, 4948, 6118, 6864, 7480, 936, 1382, 2436, 3895, 4274, 5304, 7003, 7703, 536, 1239, 2564, 3167, 4881, 5307, 6243, 7750, 299, 2011, 2552, 3605, 4467, 6061, 6550, 7623, 1101, 1630, 3118, 4091, 4465, 5795, 7028, 7875, 725, 1812, 2552, 3177, 4672, 5528, 6571, 8023, 150, 1876, 3104, 3826, 4609, 6143, 6469, 7873, 725, 1454, 2159, 3957, 4796, 5403, 6662, 8095, 692, 1723, 2440, 3878, 4435, 6060, 6941, 7828, 249, 1758, 2705, 4004, 5047, 5509, 6828, 7610, 840, 1141, 2887, 3873, 4226, 5518, 6834, 7991, 725, 1463, 2313, 3469, 4796, 6215, 6788, 7777, 938, 1967, 2563, 4038, 4573, 6221, 6272, 7623, 262, 1757, 2710, 3526, 4736, 5646, 6897, 7490, 1080, 1149, 3080, 3719, 5040, 5595, 6690, 7483, 1024, 1738, 2163, 3751, 4294, 5961, 6555, 7944, 1067, 1199, 2646, 3901, 5118, 5760, 6694, 7918, 938, 1912, 3080, 3596, 4446, 5327, 6373, 7488, 831, 1301, 2361, 3819, 5165, 6120, 7177, 7329, 335, 1477, 2970, 4066, 4828, 5272, 7096, 7843, 1047, 1761, 2860, 3440, 5038, 6006, 7104, 8054, 831, 1723, 3056, 3858, 5083, 5705, 6752, 7690, 304, 2020, 2993, 4114, 5165, 5543, 6668, 7458, 779, 1508, 2960, 3188, 4447, 5359, 6408, 8260, 401, 1750, 2860, 4006, 4861, 5749, 6467, 8066, 684, 1587, 3135, 3909, 4551, 5832, 6668, 8195, 488, 1705, 2838, 3886, 4700, 6205, 7201, 7485, 818, 1508, 3006, 4174, 5058, 6195, 6979, 8185, 818, 1622, 2960, 4018, 4888, 6139, 7084, 7876, 818, 1869, 2781, 4071, 4782, 5241, 7201, 7887, 818, 1622, 3117, 3188, 4980, 5612, 7084, 8147, 935, 1467, 2914, 3825, 5129, 5635, 6786, 8185, 488, 1622, 2914, 3825, 4704, 6139, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3825, 4624, 6186, 6794, 7766, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 7766, 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, 14, 65, 35, 78, 5, 63, 26, 66, 5, 11, 63, 53, 5, 76, 11, 78, 5, 28, 36, 54, 30, 5, 5, 3, 945, 2017, 3098, 4018, 4704, 6129, 6604, 8147, 859, 1597, 2636, 4174, 5138, 5935, 6889, 7421, 242, 1202, 2472, 3576, 4362, 5716, 7187, 8208, 145, 1938, 2675, 4075, 4962, 6170, 6659, 7983, 673, 1400, 2680, 3576, 4857, 6056, 6730, 7788, 165, 1960, 2665, 3364, 4857, 6031, 6270, 7537, 870, 1696, 2332, 3350, 4326, 5744, 6817, 8098, 966, 1240, 2922, 3870, 5067, 5371, 6319, 7426, 179, 1928, 2380, 3171, 4869, 5943, 6507, 8257, 582, 1631, 2468, 3709, 4716, 5700, 7147, 7611, 722, 1815, 2335, 3895, 4623, 5929, 7144, 7914, 448, 1289, 2904, 4038, 4667, 5621, 6685, 8111, 225, 1958, 2321, 3320, 5128, 5276, 6605, 7379, 334, 1750, 2665, 3873, 4459, 5990, 6878, 7940, 334, 1865, 2383, 3470, 4486, 5224, 6605, 7367, 118, 1112, 2349, 3596, 4669, 5500, 7089, 7509, 757, 1112, 2454, 3236, 4539, 5474, 6605, 7965, 878, 1286, 2468, 4021, 5083, 5624, 7019, 8077, 153, 1304, 2315, 3994, 4638, 5656, 6377, 7869, 153, 1705, 2833, 3623, 4869, 5749, 7103, 8126, 391, 1450, 2959, 3914, 4983, 5210, 6932, 7948, 1064, 1323, 2740, 3669, 5157, 5925, 6964, 7336, 1016, 2059, 2895, 3963, 4790, 5825, 7086, 8060, 344, 1141, 2490, 3515, 4556, 5704, 6505, 7772, 1001, 2085, 2440, 3731, 4230, 6114, 6847, 8233, 876, 1331, 2506, 3870, 4789, 6181, 7215, 7386, 992, 1521, 2506, 3647, 4807, 5668, 7165, 7794, 864, 1510, 2564, 3709, 4466, 5221, 7181, 7635, 547, 1400, 2271, 3745, 4935, 5780, 6700, 7918, 938, 1510, 2175, 4162, 5128, 5257, 6942, 7627, 725, 1826, 2990, 3515, 4278, 6052, 6881, 7375, 317, 1356, 2693, 3788, 5001, 5856, 6242, 7810, 317, 1171, 2881, 3516, 4829, 6051, 6443, 8267, 317, 1912, 2783, 4047, 4298, 5656, 7229, 8167, 183, 1116, 2992, 3831, 4925, 5447, 6566, 8005, 105, 1519, 2980, 3945, 4916, 6117, 6348, 7386, 405, 1171, 3133, 3188, 5115, 5643, 6810, 7618, 308, 2064, 2454, 3178, 4617, 6010, 6468, 8117, 684, 2073, 2454, 3961, 5138, 5438, 7173, 7906, 473, 2125, 3092, 3674, 5091, 5993, 6361, 8108, 308, 1939, 2895, 3710, 5138, 5379, 6720, 8266, 390, 1933, 2352, 4027, 4912, 5704, 7132, 7291, 1090, 2125, 3006, 3487, 4734, 5643, 6953, 8159, 610, 1773, 2965, 4143, 4872, 6175, 6566, 7720, 776, 1893, 2762, 3407, 4489, 5469, 6891, 7768, 802, 2056, 2396, 3378, 4562, 6039, 7085, 7428, 150, 1849, 2807, 3429, 4379, 5216, 6235, 7906, 736, 1805, 2543, 3561, 4609, 5500, 7059, 7893, 1017, 1582, 2431, 3259, 4591, 5970, 6518, 7983, 360, 1490, 2491, 3486, 4314, 5545, 6674, 7592, 249, 1490, 2346, 3585, 4404, 5928, 6831, 7567, 310, 1627, 2727, 3720, 4501, 5903, 6536, 7744, 807, 1349, 2494, 4061, 4305, 5443, 6911, 8238, 862, 1104, 2327, 3364, 4826, 5847, 7048, 7754, 807, 1976, 2453, 3488, 5142, 5257, 6519, 7615, 545, 1688, 2717, 4137, 4338, 5224, 7222, 7517, 103, 1778, 2335, 3822, 4710, 5425, 6871, 7293, 390, 1349, 2701, 3352, 4490, 5257, 7222, 7727, 981, 1594, 2380, 3879, 4592, 5729, 7165, 7919, 247, 1472, 2298, 3313, 4344, 5265, 6382, 7624, 1017, 1402, 3055, 3245, 4766, 6095, 6532, 7578, 123, 1531, 2999, 3865, 4699, 5732, 7174, 7928, 508, 1682, 3001, 4158, 4830, 5903, 6917, 7889, 1066, 1183, 2256, 3925, 4544, 6020, 6335, 7930, 1029, 1183, 3003, 4051, 4414, 5564, 6617, 7583, 763, 1318, 2536, 3648, 4997, 5970, 6326, 7655, 763, 1499, 2842, 3851, 4348, 6010, 6324, 7894, 100, 1548, 2700, 3864, 4487, 6004, 6408, 7669, 504, 1183, 3003, 3463, 5040, 5380, 6620, 8092, 643, 1523, 2191, 3648, 4685, 5636, 6343, 7676, 150, 1318, 2430, 4028, 4713, 5526, 6928, 7691, 1025, 1783, 3150, 3685, 4589, 5443, 6580, 7899, 643, 1370, 2981, 3700, 4717, 5358, 6244, 7664, 150, 2035, 3078, 4096, 4764, 6064, 6709, 7690, 610, 1773, 2348, 4035, 4447, 6152, 7221, 8130, 1033, 1777, 2732, 4171, 4374, 5654, 7100, 7815, 401, 1635, 2661, 3566, 4981, 6000, 7090, 7256, 610, 2107, 2944, 3912, 4807, 5968, 7181, 8159, 1025, 1797, 2923, 4017, 4417, 5684, 6377, 7776, 304, 1635, 2923, 3917, 5129, 6117, 6859, 8076, 211, 1393, 3135, 4145, 5183, 5550, 6752, 8172, 993, 1867, 2254, 3175, 4689, 5642, 7166, 7704, 1029, 1334, 2984, 3252, 4546, 5294, 6582, 7880, 536, 1402, 2890, 3486, 4643, 6167, 6514, 7954, 1101, 1199, 2559, 3486, 4981, 5484, 6622, 8069, 884, 1346, 2401, 3394, 4905, 5222, 6347, 8071, 725, 1346, 2610, 3740, 4539, 5367, 6237, 7736, 691, 1171, 2867, 3581, 5070, 6118, 6701, 7650, 576, 1797, 2274, 3262, 4604, 5995, 6314, 7554, 228, 1675, 2659, 3511, 4224, 5723, 7114, 7355, 317, 1440, 2598, 3975, 5139, 6110, 7055, 8117, 804, 1754, 2274, 3994, 4966, 5360, 6444, 7790, 1097, 1218, 2760, 3540, 4366, 6182, 6996, 7781, 804, 1791, 2957, 3671, 4551, 6205, 7047, 8260, 308, 1791, 2582, 3226, 5038, 5340, 6996, 7887, 663, 1797, 2598, 4068, 5104, 5590, 7006, 8260, 709, 1218, 2838, 3776, 4895, 6175, 7239, 8083, 952, 1964, 2536, 3961, 5159, 5586, 7084, 7778, 759, 1770, 3112, 4067, 5088, 5625, 6234, 8235, 271, 1299, 2540, 3216, 5091, 5222, 7232, 7527, 83, 1682, 2741, 3189, 4983, 5880, 6497, 7756, 936, 1299, 2661, 3165, 4731, 5500, 6478, 7983, 1019, 1428, 2564, 3623, 4595, 6119, 6426, 7930, 992, 1494, 2905, 3601, 4565, 5886, 6658, 7373, 344, 1141, 2142, 3841, 5134, 5627, 6234, 7597, 938, 1865, 2564, 3418, 4776, 5588, 6550, 7843, 776, 1876, 2498, 4025, 5017, 5341, 6430, 7423, 913, 1865, 2564, 3656, 4435, 5918, 6991, 7423, 913, 1537, 2740, 4031, 4415, 5700, 6576, 7617, 970, 1119, 2740, 3644, 4674, 5352, 6254, 7954, 91, 1244, 2801, 3848, 4437, 5822, 7154, 8052, 913, 1886, 2349, 3271, 4897, 6086, 6654, 7964, 913, 1158, 2905, 3688, 4288, 5819, 6453, 7857, 913, 1904, 3003, 3687, 4266, 5323, 6509, 7577, 913, 1510, 2586, 3658, 4867, 5841, 7162, 7827, 951, 1510, 2936, 3904, 4588, 5550, 6762, 8009, 288, 1992, 2436, 3815, 4606, 5413, 6668, 7876, 779, 1269, 2783, 3908, 5165, 6162, 7154, 7305, 980, 2024, 2944, 3886, 5006, 5378, 6307, 8267, 211, 1777, 2944, 3811, 5153, 6204, 6871, 7641, 424, 1120, 2940, 4150, 5088, 6051, 6967, 8209, 940, 1858, 3061, 3922, 4925, 5899, 6810, 7806, 779, 1847, 2944, 3271, 4592, 6222, 7047, 8266, 1056, 1992, 2991, 4145, 5159, 5536, 7207, 7876, 833, 1320, 2803, 4078, 5085, 6048, 6954, 7777, 175, 1865, 2149, 4087, 4216, 5259, 6726, 8252, 662, 2069, 2724, 3956, 4949, 5570, 6500, 7288, 770, 1821, 2979, 3981, 4381, 5367, 6287, 7291, 265, 1424, 2979, 3922, 4723, 5952, 7018, 7545, 984, 1747, 2238, 4076, 4214, 5534, 6243, 7944, 935, 1623, 2833, 3690, 4276, 6007, 6630, 7948, 186, 2032, 2833, 4168, 4918, 5834, 6515, 7887, 945, 1528, 3095, 4071, 4624, 6081, 7201, 8179, 818, 2017, 3117, 3188, 5165, 5612, 6515, 7876, 818, 2017, 2914, 3893, 4888, 5635, 7218, 8223, 818, 1622, 2781, 3825, 4624, 5901, 6794, 7766, 488, 1528, 2914, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6081, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2914, 3367, 4870, 6139, 7077, 7766, 488, 1622, 3065, 3825, 4870, 6139, 6794, 8196, 488, 1648, 2806, 3893, 4624, 6081, 7124, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 1648, 2806, 3893, 4512, 6139, 7226, 8223, 488, 1528, 3065, 3893, 4512, 6139, 6996, 8223, 4, 2 ]

[ 1, 14, 51, 29, 16, 76, 16, 52, 47, 5, 43, 45, 78, 5, 43, 14, 54, 30, 5, 76, 11, 78, 5, 66, 63, 33, 53, 28, 16, 52, 44, 55, 5, 14, 78, 5, 43, 48, 5, 66, 36, 54, 30, 5, 66, 73, 5, 31, 16, 5, 63, 45, 66, 44, 55, 66, 16, 28, 16, 52, 5, 16, 54, 30, 5, 28, 44, 42, 14, 54, 5, 64, 52, 57, 52, 47, 5, 66, 73, 5, 16, 54, 41, 14, 64, 66, 16, 54, 5, 16, 5, 64, 53, 20, 52, 5, 57, 52, 41, 16, 30, 14, 65, 16, 54, 30, 5, 30, 33, 64, 51, 5, 11, 54, 5, 76, 45, 29, 5, 31, 16, 5, 64, 53, 20, 52, 5, 42, 45, 52, 66, 5, 44, 54, 45, 65, 16, 52, 78, 5, 33, 53, 5, 5, 5, 48, 5, 5, 5, 64, 66, 69, 30, 5, 41, 20, 63, 67, 5, 14, 78, 5, 16, 5, 53, 33, 52, 16, 54, 51, 12, 52, 47, 5, 53, 44, 53, 33, 54, 66, 56, 5, 5, 3, 708, 1349, 2593, 3643, 4486, 6016, 6883, 7855, 278, 1881, 2583, 3831, 4468, 5787, 6923, 7478, 880, 1108, 3047, 3931, 4449, 5499, 6476, 7403, 161, 1283, 2146, 3685, 4910, 6203, 6603, 7496, 491, 1325, 2748, 3331, 4982, 5553, 6263, 7849, 160, 1550, 3120, 4164, 5113, 5485, 6881, 7263, 390, 1881, 2918, 4041, 5106, 5231, 7168, 7505, 914, 1684, 2326, 3763, 4849, 6222, 6588, 8083, 186, 1684, 2679, 3982, 5159, 6014, 6709, 7949, 186, 1804, 3110, 3827, 4822, 5702, 6891, 8076, 935, 1791, 3110, 3803, 4704, 5241, 7077, 8107, 935, 1869, 2960, 4108, 4630, 5241, 7077, 8076, 818, 2041, 2914, 3226, 5104, 5241, 7124, 7766, 555, 1623, 2164, 3374, 4798, 5892, 6604, 7485, 518, 1633, 2875, 4006, 4737, 5830, 6412, 7463, 334, 1935, 2370, 3771, 4644, 5397, 6614, 7799, 568, 2013, 2946, 4026, 4839, 5223, 6607, 8227, 757, 1971, 2142, 3648, 4644, 5892, 7091, 8056, 153, 1971, 2468, 3376, 4890, 5760, 6752, 7303, 403, 1736, 3133, 3672, 4918, 5694, 7207, 7303, 171, 1386, 3026, 3873, 4954, 5493, 6492, 7846, 401, 1173, 2315, 3916, 4651, 5784, 6898, 7717, 304, 1981, 3043, 4151, 4918, 5485, 6688, 8046, 970, 1302, 2860, 3709, 4925, 5241, 7233, 7948, 887, 1318, 2766, 3169, 4856, 5910, 7143, 8261, 150, 1199, 3145, 3781, 5042, 5500, 6608, 7835, 840, 1199, 2129, 3233, 4845, 5804, 7156, 7480, 778, 1490, 2587, 3187, 5036, 5713, 6348, 8209, 955, 1944, 2361, 3162, 4242, 6128, 7163, 8026, 663, 1821, 2998, 3162, 4512, 6000, 6649, 8188, 424, 1177, 2455, 3899, 5040, 5586, 6684, 7313, 913, 1350, 2239, 3562, 5157, 6201, 6458, 7758, 881, 1496, 2688, 3762, 4321, 5305, 6838, 7946, 902, 1459, 2751, 3446, 4440, 5433, 6315, 7930, 952, 1636, 2349, 3581, 4555, 5555, 6431, 7559, 495, 1669, 2238, 3262, 4364, 5597, 6452, 7578, 995, 1289, 3018, 4067, 4345, 5480, 6961, 7727, 1084, 1706, 2674, 3741, 4527, 6101, 6687, 7404, 952, 1728, 3021, 3879, 4790, 6084, 6542, 7987, 487, 1581, 3088, 3792, 5074, 5745, 6682, 7959, 103, 1771, 2175, 3736, 4555, 6118, 7241, 7386, 887, 1397, 3061, 3380, 4725, 6025, 7091, 8045, 150, 1561, 2222, 3802, 4790, 5298, 6834, 7367, 610, 1782, 2820, 4146, 4446, 5794, 6376, 7838, 955, 1948, 2313, 3912, 4282, 5341, 6772, 7297, 955, 1777, 3021, 3771, 4828, 5901, 7010, 7878, 401, 1280, 3021, 3803, 4555, 5968, 6283, 7715, 288, 1499, 3007, 4068, 5104, 5901, 7129, 7723, 804, 1915, 3043, 3975, 4681, 6211, 6786, 8066, 956, 1675, 3008, 4166, 5166, 5705, 6786, 8179, 488, 2046, 3110, 4018, 4822, 5883, 7226, 7723, 1099, 2017, 2957, 3990, 4798, 5635, 6709, 8147, 488, 1528, 2991, 3825, 5058, 6139, 6979, 7949, 488, 1622, 2914, 3893, 4704, 6139, 6972, 7766, 488, 1622, 2914, 3893, 4624, 6139, 7077, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 488, 1648, 2806, 3825, 4624, 6081, 6794, 7766, 915, 1750, 3065, 4071, 4798, 6186, 6794, 8196, 419, 1851, 3021, 3914, 4555, 6186, 6584, 7723, 789, 1147, 3021, 3914, 4329, 6163, 6612, 7570, 955, 2034, 2924, 3943, 4583, 5661, 7059, 7303, 613, 1809, 2543, 3201, 4358, 6000, 6963, 7256, 952, 1636, 2492, 4070, 4635, 6002, 6777, 7582, 487, 1794, 2830, 3169, 4914, 5633, 6439, 7442, 923, 1541, 2456, 3973, 4604, 5413, 6525, 7545, 317, 2107, 2646, 3788, 4604, 5980, 6730, 7490, 654, 1186, 2947, 3880, 5115, 5810, 7084, 7927, 654, 1264, 3114, 3796, 4402, 5433, 6959, 7842, 518, 1851, 2554, 3307, 4344, 5880, 6291, 7706, 440, 1623, 2925, 4028, 4762, 5713, 7022, 8126, 356, 2032, 2718, 4028, 4885, 6137, 7199, 7641, 1088, 2021, 2669, 3676, 4437, 5385, 6309, 8108, 756, 1411, 2791, 3181, 4571, 5754, 6754, 7960, 511, 1797, 2951, 3754, 4945, 6076, 7046, 8008, 857, 1455, 2839, 3761, 4555, 5941, 7127, 8232, 641, 1116, 2985, 3596, 4364, 5443, 6514, 7952, 750, 1320, 2190, 4074, 4257, 5935, 6256, 8061, 776, 1695, 2603, 4007, 4802, 5872, 7017, 8237, 211, 1397, 2710, 3487, 5130, 5979, 6828, 7451, 641, 1695, 2910, 3690, 4224, 6101, 7207, 8061, 424, 1684, 2559, 4095, 4849, 6135, 6632, 8156, 614, 1265, 2363, 3692, 4555, 5204, 7028, 7555, 1057, 1809, 2238, 4112, 4315, 6217, 7193, 7602, 887, 1540, 2679, 3811, 4364, 6201, 6540, 8209, 1025, 1717, 2975, 3962, 4573, 5366, 6298, 7919, 610, 1797, 3053, 3917, 4212, 5678, 7220, 7488, 390, 1700, 2895, 3253, 4374, 5219, 6972, 8195, 645, 2079, 2340, 3540, 4423, 6120, 7207, 7720, 308, 1218, 3008, 3918, 4888, 6195, 7084, 7948, 308, 1791, 2924, 3681, 5166, 6103, 7084, 8195, 288, 1467, 3128, 4011, 4822, 6085, 6972, 7870, 955, 1562, 2956, 3912, 4713, 5705, 6408, 7631, 1081, 1499, 3144, 3645, 4588, 5279, 6272, 7641, 981, 1682, 2868, 3645, 4387, 5413, 7207, 7829, 610, 1302, 2503, 4078, 5078, 5761, 6938, 7720, 955, 2002, 2959, 3193, 4966, 6146, 6286, 7426, 225, 1241, 2188, 3253, 4321, 6189, 6900, 7743, 225, 2002, 2959, 3904, 5040, 5586, 6578, 7445, 228, 1468, 2491, 3662, 4181, 5550, 6515, 7949, 256, 1596, 2562, 3317, 4512, 6005, 7024, 7515, 256, 1440, 2669, 3391, 5075, 5811, 6688, 7715, 419, 1426, 2833, 3595, 5058, 5385, 7120, 7806, 789, 1974, 2833, 3914, 5083, 5493, 6840, 7732, 555, 1147, 2970, 3993, 4398, 5241, 6584, 7949, 552, 2127, 3133, 3914, 4681, 5219, 6604, 7683, 541, 1300, 2341, 3944, 4536, 5795, 6313, 7555, 568, 1252, 2370, 3374, 5075, 5625, 7242, 7717, 579, 1758, 2287, 4113, 4902, 5844, 7043, 7743, 171, 2065, 3144, 3662, 5080, 6149, 7154, 8236, 1056, 2065, 3026, 3413, 5088, 5873, 6615, 8126, 149, 1758, 2728, 3413, 4367, 5832, 6477, 7700, 761, 1302, 2913, 3922, 4969, 6175, 6318, 7667, 386, 1509, 2679, 3892, 4918, 6026, 6849, 7867, 401, 1322, 3076, 4004, 4565, 6040, 7010, 8151, 610, 1676, 2750, 3433, 4764, 5981, 7168, 8236, 610, 1499, 2783, 4150, 4966, 5366, 6924, 7919, 610, 1499, 2688, 3983, 4179, 5899, 6393, 7706, 424, 2053, 3053, 3593, 4229, 5944, 7149, 8080, 104, 1935, 2946, 3191, 4467, 5883, 7004, 7570, 1025, 1182, 2598, 4027, 4565, 6171, 7058, 7887, 610, 1878, 2241, 4068, 4912, 6195, 6774, 8209, 1090, 1847, 2783, 4114, 5088, 6103, 6668, 7764, 424, 2090, 2481, 3819, 5129, 6051, 6979, 8266, 779, 1620, 2582, 3945, 4861, 5761, 7111, 8185, 103, 1455, 2750, 3877, 5120, 6000, 6354, 7488, 1090, 1248, 2829, 4147, 4859, 5918, 7177, 8101, 970, 2043, 2895, 4138, 5127, 6002, 7157, 7355, 776, 1974, 3092, 4066, 5022, 5601, 6306, 7476, 996, 1490, 2555, 3511, 4792, 5569, 6826, 7656, 265, 1489, 2751, 3880, 4234, 6111, 6547, 7913, 265, 1918, 2959, 4015, 4457, 5978, 6538, 7288, 175, 1706, 3001, 3613, 5188, 6053, 6645, 7336, 103, 1762, 2898, 3986, 5029, 6002, 6521, 7424, 103, 1847, 2924, 3513, 4604, 5555, 6533, 8168, 103, 2107, 2894, 3613, 4527, 5981, 6414, 7652, 571, 1931, 2268, 3391, 5166, 6048, 6680, 7706, 663, 1858, 2915, 3917, 4592, 5730, 6709, 8107, 1090, 1858, 2272, 3488, 4337, 6007, 6918, 7664, 610, 1577, 2272, 3593, 4573, 5761, 6809, 8107, 1090, 1182, 2946, 3866, 4713, 6156, 6719, 8085, 684, 1562, 2947, 4085, 4630, 5901, 6774, 7716, 1097, 1992, 3021, 4108, 4980, 6081, 7152, 7494, 488, 1963, 3095, 4108, 4681, 5661, 7132, 7570, 142, 2017, 2914, 3825, 4704, 6103, 7226, 7806, 488, 1528, 2914, 3825, 5104, 6139, 7239, 8147, 488, 1528, 2914, 3893, 4624, 6139, 7201, 8223, 915, 1622, 2806, 3914, 4798, 5241, 7226, 8223, 859, 2127, 2858, 3955, 5060, 5515, 6752, 7865, 859, 1971, 2941, 3566, 5060, 5515, 7120, 8076, 105, 2034, 2775, 3723, 4512, 6149, 6605, 7485, 105, 1147, 2554, 3374, 5138, 5840, 6752, 8147, 859, 2002, 2970, 3827, 5157, 5901, 6338, 7962, 859, 2127, 2806, 3914, 4512, 5767, 6612, 7643, 859, 1468, 2970, 3687, 4387, 6129, 6752, 7838, 859, 1468, 3064, 4153, 4681, 5515, 7207, 7723, 555, 1695, 3150, 3687, 4549, 5678, 6612, 8076, 555, 1147, 2833, 3825, 4512, 5635, 6996, 7715, 488, 1622, 3065, 3893, 4387, 6139, 7152, 7715, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8237, 142, 1528, 2806, 3825, 4704, 6139, 7124, 8223, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 915, 1528, 2949, 4108, 4870, 5241, 7077, 7421, 756, 1108, 2833, 3918, 4700, 5883, 7129, 7494, 459, 1411, 2787, 4095, 4325, 5220, 6234, 7860, 893, 1706, 2151, 3287, 4510, 5567, 6917, 8149, 614, 1347, 2203, 4063, 4800, 5575, 7224, 8134, 576, 1878, 2988, 3528, 4841, 5752, 7119, 8149, 1014, 2071, 2627, 3788, 4381, 5218, 7165, 7476, 240, 2041, 2970, 3253, 4912, 6149, 6944, 8120, 256, 1430, 3022, 4039, 4630, 5276, 6584, 8262, 1014, 1881, 2874, 4072, 4638, 5991, 7033, 7785, 731, 2053, 3080, 3827, 4593, 5810, 6528, 7992, 504, 1708, 2432, 3241, 5151, 5574, 6224, 7836, 643, 2008, 2492, 3886, 4539, 5589, 6528, 7777, 887, 2008, 3029, 4102, 4795, 5734, 7160, 7776, 1081, 1782, 2783, 3993, 4604, 5581, 7207, 7899, 288, 1782, 2345, 3472, 5080, 5224, 7152, 8098, 488, 1963, 3110, 4018, 5127, 5612, 7201, 7421, 488, 2041, 3135, 3367, 4583, 6129, 6972, 8147, 818, 1998, 3043, 3945, 5080, 5241, 7124, 8260, 914, 1623, 2991, 3982, 5115, 5968, 6540, 7485, 874, 1550, 2754, 4026, 4974, 5935, 6365, 7994, 334, 1468, 2976, 3803, 4267, 5677, 7207, 7660, 757, 2002, 2138, 3591, 5088, 6062, 6900, 7706, 552, 1684, 2730, 3470, 5020, 5730, 7207, 8213, 552, 1797, 2771, 3873, 5150, 5276, 6972, 7557, 216, 1758, 2151, 4068, 4621, 5479, 6899, 7312, 942, 1830, 2926, 3578, 4622, 5276, 7152, 7706, 981, 1171, 2913, 3908, 5171, 6203, 6684, 7831, 1029, 1758, 2926, 3322, 4337, 6052, 6677, 7611, 942, 1504, 2952, 3711, 4305, 6054, 6736, 8209, 643, 1876, 3001, 4112, 4789, 5765, 6755, 7726, 504, 1904, 2924, 3711, 5169, 5942, 6540, 7772, 386, 1388, 2194, 4083, 4620, 5353, 7047, 8134, 504, 1510, 3043, 3887, 5007, 5550, 7090, 8006, 643, 1510, 2783, 4022, 4959, 5622, 6670, 7754, 504, 1773, 2775, 3375, 4264, 5586, 6852, 7442, 401, 1777, 2871, 3886, 5038, 5981, 6979, 8006, 304, 1499, 2996, 3253, 4536, 6211, 7207, 7508, 304, 1707, 2568, 3917, 4592, 6129, 7095, 8185, 1056, 2033, 2439, 4166, 5159, 6014, 7218, 7776, 684, 2079, 2167, 3811, 4630, 5378, 7230, 8185, 757, 2098, 2895, 3206, 4542, 6171, 6382, 7355, 175, 1439, 2566, 3445, 4923, 5761, 7126, 7317, 1033, 1171, 2703, 3970, 4399, 5525, 6348, 8099, 504, 1299, 2429, 3398, 4612, 5484, 7000, 8165, 386, 1759, 2163, 3448, 4670, 5778, 7164, 7846, 643, 1589, 2439, 3259, 4731, 5661, 6258, 7908, 1047, 1499, 2321, 3950, 4529, 5565, 7220, 7341, 304, 2088, 3092, 3516, 4276, 5705, 6709, 7908, 211, 1280, 2746, 3990, 4630, 6211, 6589, 8076, 211, 1845, 2936, 3909, 4713, 5534, 7237, 7918, 1062, 1563, 2860, 4087, 4741, 6080, 6413, 8205, 1067, 1199, 2175, 3201, 4708, 5700, 6290, 7538, 725, 1682, 2693, 3751, 4533, 5961, 6586, 7469, 1081, 2033, 3150, 3605, 5129, 5548, 6360, 8247, 1081, 2035, 3076, 3156, 4179, 6070, 6750, 8246, 1081, 2035, 2348, 3838, 5115, 6085, 6361, 7658, 1056, 1534, 2754, 3983, 5165, 5968, 6891, 8066, 684, 2107, 2998, 4174, 4826, 6087, 6515, 7965, 288, 1945, 3008, 4011, 4782, 6211, 7162, 8195, 610, 1700, 3043, 4150, 4589, 6014, 7217, 8054, 1067, 1424, 2534, 3201, 4271, 5216, 6796, 7508, 888, 1816, 2766, 3566, 4725, 6024, 6792, 7355, 428, 1279, 2979, 3392, 5000, 5632, 6792, 7473, 465, 1151, 2979, 3936, 4799, 5720, 6735, 7559, 1101, 1735, 2810, 3936, 4719, 5563, 6839, 7888, 1101, 2100, 2788, 3635, 4364, 5925, 6969, 7934, 952, 1126, 2231, 4162, 4364, 5668, 7137, 7652, 610, 1985, 2654, 4130, 4604, 5286, 6978, 8107, 103, 1397, 2476, 3885, 4691, 5940, 6663, 8205, 1090, 1118, 2349, 3551, 4435, 6128, 7065, 7487, 288, 2125, 2839, 3909, 5160, 5983, 6617, 8245, 899, 1526, 2783, 3374, 4582, 5493, 7003, 7971, 613, 1974, 3063, 4153, 4626, 5650, 6726, 8262, 952, 1942, 2740, 3370, 4527, 5540, 6677, 8240, 826, 1782, 3029, 3992, 4582, 5435, 6974, 7536, 986, 1930, 2678, 3851, 4364, 5481, 6903, 7505, 887, 2008, 2750, 3936, 4446, 5940, 6566, 7649, 887, 2008, 2990, 3936, 4807, 5265, 6856, 8235, 887, 1717, 2232, 4025, 5088, 5844, 7158, 7873, 1090, 2033, 3089, 3395, 5166, 6073, 6393, 7720, 1025, 1897, 2638, 3361, 5073, 5981, 7023, 7454, 610, 1881, 2902, 3427, 4513, 5630, 7019, 7764, 1090, 1275, 3098, 3616, 5169, 5796, 7239, 8266, 288, 2068, 2924, 3982, 5159, 6175, 7111, 7421, 956, 2000, 2936, 3990, 4536, 6205, 6688, 8147, 956, 2001, 2947, 3982, 4912, 5901, 6786, 8237, 256, 1961, 2989, 4026, 5083, 6050, 7129, 7480, 699, 1597, 2718, 3394, 4877, 6050, 6889, 7710, 225, 1147, 2875, 3394, 4983, 5438, 6627, 7494, 859, 1345, 2326, 3470, 4912, 6137, 7019, 8061, 211, 2008, 2936, 3782, 5138, 6149, 7058, 7918, 716, 1706, 2912, 3422, 4804, 5443, 6724, 7758, 462, 1640, 2751, 3877, 4347, 5496, 7135, 7966, 462, 1550, 2751, 3660, 5098, 5212, 7247, 7551, 462, 1550, 2544, 3589, 4804, 5615, 6634, 7513, 986, 1808, 2400, 4007, 4338, 5814, 7118, 8154, 807, 1399, 3061, 3968, 4285, 5212, 7072, 7808, 487, 1455, 2346, 3327, 4470, 6154, 6663, 7805, 807, 1118, 3076, 3358, 4449, 5574, 6815, 7886, 641, 1541, 2736, 3669, 4651, 5390, 6876, 7873, 308, 2097, 2980, 4115, 5088, 5981, 7157, 8185, 684, 1876, 3143, 4114, 4822, 5705, 7120, 7421, 571, 2046, 2534, 3709, 5058, 5968, 6410, 7641, 211, 1989, 2880, 3866, 4622, 6129, 6979, 7485, 620, 1965, 2136, 3951, 4635, 5596, 7016, 7721, 271, 1972, 2493, 3164, 4546, 6028, 6716, 7264, 826, 2089, 2541, 3721, 4214, 5894, 7073, 7298, 1008, 2053, 2751, 3164, 5154, 5295, 6375, 7422, 104, 1988, 2751, 3884, 5198, 5745, 6718, 7984, 614, 2008, 3074, 4066, 4808, 5917, 7039, 7385, 1024, 1469, 3074, 3653, 4401, 5771, 6448, 8187, 938, 1469, 2797, 3613, 4441, 6111, 6267, 7988, 1024, 1873, 2961, 3421, 4567, 5733, 6243, 7864, 970, 1591, 2458, 3420, 4570, 5891, 6789, 8085, 1051, 1146, 2865, 3983, 4867, 5892, 6771, 7939, 186, 1833, 3038, 3710, 4551, 5210, 7217, 7706, 1099, 1856, 3008, 4170, 5129, 6087, 7217, 7485, 935, 2024, 2991, 4071, 5166, 6211, 6967, 7723, 956, 1992, 3095, 3866, 5104, 6103, 7226, 7782, 1097, 1874, 2925, 3188, 5159, 6081, 7084, 8260, 552, 1600, 2989, 4068, 4888, 6103, 7111, 7485, 552, 2127, 2820, 3374, 4549, 5219, 7090, 7570, 105, 2002, 2729, 3982, 5083, 5548, 6988, 7876, 105, 2106, 2775, 3391, 4387, 5892, 7152, 8083, 105, 2106, 3065, 3891, 4681, 5515, 7152, 7865, 552, 2002, 2970, 3827, 4622, 6175, 6338, 7865, 859, 2127, 2554, 3374, 4890, 5493, 6772, 7557, 105, 1750, 3021, 3391, 4615, 6137, 6677, 7476, 555, 1684, 2858, 3217, 5138, 5767, 6291, 7723, 555, 1468, 3021, 3374, 5038, 5413, 7152, 7723, 555, 1468, 2833, 3827, 4798, 5550, 7120, 7766, 555, 1695, 3150, 3595, 4549, 5586, 7084, 8083, 555, 1147, 2858, 4068, 4890, 5678, 6251, 7865, 555, 1468, 3021, 4153, 5038, 5811, 6584, 8223, 915, 1147, 2858, 3891, 5079, 6163, 6677, 8080, 915, 1684, 2858, 3825, 4681, 5219, 7077, 8196, 915, 1684, 3021, 3391, 5157, 5534, 6584, 8126, 915, 1468, 3021, 3277, 4798, 5550, 7120, 7717, 488, 1528, 2858, 3893, 5079, 6139, 6752, 7831, 142, 1528, 2806, 3825, 4704, 6139, 7226, 8223, 142, 1528, 2806, 3825, 4704, 6186, 7124, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3367, 4624, 6186, 7226, 8196, 915, 1648, 2164, 3825, 4798, 5635, 7077, 7715, 789, 1304, 2941, 3914, 5138, 5550, 6584, 7723, 1059, 1349, 2161, 3413, 4318, 6048, 6338, 8101, 247, 1900, 2487, 3413, 4886, 6144, 6663, 7772, 734, 1664, 3029, 3790, 4652, 5631, 6271, 7795, 247, 1496, 3029, 3869, 4399, 5752, 6372, 7650, 891, 2033, 2693, 3889, 4922, 5273, 6476, 7494, 304, 1350, 2591, 3961, 4802, 5678, 6979, 7555, 610, 1676, 2895, 3932, 5153, 6146, 6752, 7717, 1056, 2125, 3144, 3440, 5061, 5832, 7168, 7557, 308, 1791, 2924, 3226, 4374, 6171, 7239, 8267, 120, 1403, 3101, 3904, 4611, 6178, 6350, 7834, 986, 1397, 2375, 3762, 4774, 5824, 7041, 8100, 103, 2033, 2268, 3714, 5084, 5664, 6840, 8109, 390, 1858, 2315, 3826, 4555, 6123, 6414, 7501, 1056, 2125, 2946, 3914, 5061, 5767, 7120, 7908, 308, 1998, 2947, 4145, 5085, 6205, 7181, 7706, 221, 1490, 2818, 3628, 4586, 5496, 6281, 7740, 825, 1490, 2129, 3994, 5079, 6218, 7157, 7755, 487, 1914, 2771, 3165, 4346, 5341, 6933, 7524, 399, 1985, 3029, 3840, 4694, 6084, 6686, 7668, 161, 1397, 2798, 3517, 4646, 5447, 7050, 7997, 966, 1951, 2396, 3424, 4408, 5498, 6917, 8104, 793, 1737, 3013, 3666, 4450, 5973, 6807, 8030, 1040, 1755, 2751, 3429, 4399, 5346, 6917, 7819, 902, 1695, 2458, 3484, 5074, 5301, 6857, 7318, 113, 1636, 2785, 3536, 4214, 6058, 6686, 7887, 610, 1782, 2871, 4022, 5150, 6063, 6894, 7658, 887, 1717, 2594, 3910, 4440, 5279, 6242, 7815, 1090, 1494, 2750, 3420, 4966, 6080, 7023, 7336, 610, 1577, 2724, 3516, 4849, 5204, 7098, 7834, 750, 1570, 2480, 3692, 4383, 5223, 6696, 8249, 654, 2065, 2287, 3753, 4321, 5899, 7219, 7488, 699, 1597, 2287, 3962, 4304, 6057, 7129, 8236, 699, 1695, 2729, 3838, 4576, 6157, 6607, 7260, 654, 2002, 2904, 3815, 4329, 5385, 6584, 7402, 225, 2065, 2669, 3376, 4638, 5963, 6786, 7749, 195, 1826, 2918, 3313, 5159, 5844, 6657, 7477, 518, 2065, 2516, 3788, 5080, 6065, 6889, 7477, 240, 1304, 2959, 3933, 5128, 5901, 6752, 7602, 789, 1961, 2473, 3891, 4870, 5771, 6612, 7806, 103, 1490, 2926, 3188, 5129, 5893, 6891, 7664, 105, 1623, 2946, 3994, 5075, 6149, 6291, 8185, 510, 1623, 2669, 4011, 4622, 5677, 6786, 8261, 216, 1523, 2709, 4174, 4387, 5565, 6828, 8234, 731, 1315, 2910, 3909, 5139, 5534, 7192, 7838, 223, 1407, 2167, 3438, 5091, 6006, 7157, 7530, 1033, 1566, 2860, 3478, 4543, 5493, 6668, 8037, 271, 1199, 2419, 3515, 4529, 5592, 7177, 7962, 1101, 1234, 2296, 3616, 4853, 5400, 6713, 7918, 1036, 1509, 3103, 3679, 4369, 5320, 6678, 8149, 668, 1149, 2687, 3888, 4894, 5982, 7214, 7510, 668, 1199, 2353, 3997, 4337, 5450, 6500, 7611, 1024, 2008, 2888, 4037, 4442, 6043, 6772, 7805, 386, 1855, 2239, 3801, 4273, 5457, 7194, 7928, 386, 1199, 2171, 3304, 5061, 5235, 6529, 7583, 643, 2047, 2296, 3390, 4271, 5696, 6283, 7718, 643, 1982, 3015, 3231, 4291, 5515, 6791, 7886, 504, 2035, 2970, 3191, 5073, 5469, 6340, 7939, 678, 1778, 3108, 3777, 4670, 5359, 7239, 7908, 643, 2035, 3043, 3856, 4849, 6128, 6467, 7865, 970, 2035, 2915, 4105, 4444, 6146, 6506, 7508, 678, 1318, 3043, 4006, 4512, 5850, 6887, 7877, 1047, 1562, 3112, 3950, 4570, 5550, 6393, 7421, 216, 1543, 3092, 3487, 4221, 5776, 7109, 7948, 386, 1199, 2629, 4064, 4734, 5589, 7157, 7973, 575, 1797, 2636, 3472, 4195, 5320, 7100, 8205, 1036, 1496, 2543, 4136, 4669, 6154, 6574, 7618, 668, 1755, 3097, 3973, 4288, 5579, 6484, 7614, 386, 1652, 2161, 3792, 4205, 5321, 7017, 7383, 643, 1815, 2710, 4015, 5115, 5831, 7024, 8012, 103, 1948, 2766, 4073, 5012, 5694, 6338, 7868, 684, 1550, 3144, 3205, 5020, 5801, 7204, 7505, 956, 2068, 2783, 3886, 5183, 6051, 7058, 7677, 818, 1175, 2960, 4085, 4681, 6211, 7006, 7641, 818, 1847, 3128, 3866, 4583, 5241, 6794, 8179, 334, 2052, 2370, 4078, 4801, 5705, 6632, 7838, 183, 1736, 2839, 3726, 4912, 5580, 6840, 7816, 373, 1736, 3053, 3891, 5150, 5521, 6734, 7723, 373, 1509, 2538, 3657, 4807, 5540, 6542, 7806, 610, 1499, 3144, 3201, 5020, 6171, 6771, 8006, 826, 1871, 2688, 3999, 5158, 6080, 6555, 7863, 778, 1747, 2189, 3253, 4573, 6111, 7156, 8132, 104, 1135, 2198, 3259, 4494, 5606, 7115, 8082, 113, 1405, 3034, 4087, 4852, 5398, 6314, 8081, 113, 1843, 3008, 4165, 4445, 5640, 6663, 8254, 535, 1786, 2782, 3481, 4437, 5205, 6478, 7930, 465, 1828, 2348, 3413, 4364, 5491, 7148, 7993, 887, 1510, 2171, 3420, 4209, 6104, 7026, 7559, 1090, 1915, 2429, 3894, 5020, 5797, 6579, 7367, 1025, 1494, 2868, 4145, 4938, 5385, 6709, 7732, 1025, 1797, 2834, 3918, 5088, 5944, 7010, 7602, 1025, 1797, 2444, 4150, 4426, 5840, 6972, 7908, 610, 2079, 2534, 3961, 4179, 6014, 7084, 7528, 424, 2125, 2937, 3961, 4536, 6051, 7222, 8066, 940, 1995, 2582, 3516, 4343, 6026, 6979, 8076, 484, 1851, 2957, 3990, 4513, 6211, 6615, 8107, 789, 1791, 2473, 4041, 4782, 5500, 6272, 7602, 440, 1752, 2340, 4011, 4844, 6056, 6486, 7679, 901, 1597, 2900, 4026, 4276, 5521, 7090, 7476, 518, 1635, 3062, 3586, 4318, 5811, 6749, 7667, 967, 1620, 2469, 3364, 5115, 5413, 6806, 8195, 833, 1668, 2729, 3945, 4512, 5935, 7084, 7383, 716, 2088, 2690, 3992, 4191, 6024, 7127, 7626, 492, 1703, 2788, 4007, 4234, 5418, 6686, 7777, 492, 1703, 2331, 3214, 4305, 5415, 6334, 7853, 492, 1679, 2363, 3586, 4236, 6218, 6242, 7497, 113, 1490, 3034, 4167, 5190, 5839, 7038, 8142, 247, 1325, 3029, 3895, 4614, 5660, 7079, 8248, 465, 1349, 2198, 3936, 4371, 5950, 6248, 8140, 1052, 1835, 3033, 3287, 5147, 5810, 7135, 8261, 844, 1476, 3008, 3770, 4321, 5228, 7088, 7394, 955, 2065, 2290, 3931, 5130, 5652, 6723, 8078, 756, 2118, 2352, 3676, 4611, 6046, 6740, 7674, 334, 2052, 2339, 3204, 4673, 5589, 6403, 7494, 225, 2002, 2271, 3983, 4247, 5308, 6544, 8216, 654, 1826, 2833, 4174, 5007, 5706, 6810, 7303, 228, 1851, 3139, 4166, 5128, 5678, 7090, 8076, 228, 2060, 2869, 3931, 4993, 5963, 7207, 8260, 228, 1490, 2335, 3570, 5159, 5493, 6724, 7876, 543, 1826, 2473, 3851, 4583, 5678, 6810, 7664, 543, 2111, 2554, 4125, 4836, 5832, 7098, 7260, 419, 2111, 2806, 3680, 4780, 5219, 7129, 8261, 390, 2065, 2957, 3226, 4895, 5844, 7160, 7383, 160, 2001, 2868, 3891, 5083, 5385, 6564, 8126, 641, 2009, 2607, 3910, 5000, 5613, 6443, 7607, 1033, 1865, 3063, 3928, 4197, 5784, 6768, 7422, 850, 1858, 2520, 3870, 4573, 6084, 7017, 7965, 826, 1858, 3075, 3544, 4556, 5212, 6859, 7791, 887, 1858, 2762, 3488, 4791, 5552, 6709, 8172, 850, 1858, 2716, 3580, 4993, 6222, 6430, 8088, 826, 1141, 2581, 3205, 4321, 5517, 6540, 8221, 778, 1747, 2515, 3375, 4757, 6131, 7114, 7542, 104, 1141, 2899, 3540, 4494, 5500, 6364, 7973, 1025, 1141, 2978, 3154, 4343, 6215, 6465, 7916, 1057, 1463, 2641, 3472, 4364, 5797, 6235, 8021, 390, 2065, 2728, 3823, 4588, 5824, 6346, 7591, 186, 2065, 2456, 3891, 4630, 5694, 7132, 8267, 1097, 2079, 2991, 3866, 4888, 5968, 6515, 8179, 488, 2000, 2838, 3188, 4630, 6129, 7077, 8260, 1099, 1218, 2164, 3866, 5159, 6182, 7239, 7806, 818, 2017, 3065, 3893, 5080, 6129, 7201, 8260, 488, 2017, 3065, 3825, 4704, 6139, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 7766, 488, 2017, 3065, 3893, 4704, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 2017, 3065, 3825, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 555, 1851, 2806, 3893, 5104, 5219, 7077, 7723, 1047, 1653, 2652, 3680, 4872, 6063, 6627, 7895, 492, 1934, 2670, 3711, 5065, 6111, 7073, 8186, 664, 1703, 2235, 3578, 5074, 5509, 6550, 7866, 693, 1821, 2337, 3711, 5185, 6066, 6783, 7869, 654, 1330, 2326, 4084, 4762, 5364, 6296, 8225, 699, 1597, 2497, 3417, 4240, 6148, 7003, 8066, 654, 2065, 2497, 4149, 4836, 5988, 7201, 7262, 228, 1851, 2554, 4125, 5129, 5581, 6889, 8080, 518, 1645, 2473, 3891, 4859, 5385, 6752, 7876, 518, 2118, 2654, 3838, 5157, 6110, 7181, 8164, 518, 1961, 2775, 3933, 4583, 5962, 6604, 8227, 256, 1961, 3002, 3528, 4638, 5678, 6752, 8262, 183, 1923, 2565, 4125, 4902, 5474, 6605, 8071, 512, 1700, 2554, 3487, 4423, 5901, 6752, 8237, 804, 1218, 2902, 3595, 5135, 5210, 6349, 8185, 304, 1668, 2783, 4135, 5166, 5514, 6988, 7421, 216, 1369, 2924, 4113, 5115, 5558, 7086, 8066, 650, 1630, 2444, 3475, 5169, 6063, 6720, 8253, 1035, 1581, 2389, 3478, 4413, 5990, 6732, 7811, 1101, 2029, 2374, 3578, 4567, 5469, 6487, 7849, 774, 1922, 2721, 3802, 4641, 6158, 6401, 8108, 1030, 2026, 3106, 3721, 4781, 5659, 6892, 8117, 271, 2124, 2721, 3199, 4609, 5945, 6858, 7286, 1063, 1928, 2948, 3979, 4999, 5585, 6676, 7256, 1030, 2089, 2476, 3703, 4674, 6002, 6554, 7469, 1011, 2124, 2933, 3343, 4700, 6206, 6651, 7462, 1022, 1916, 2712, 3323, 4825, 5440, 6994, 7462, 1022, 1439, 2653, 3619, 4214, 6002, 7205, 7291, 1016, 1757, 2344, 3243, 4765, 5512, 6737, 8222, 1016, 1757, 2520, 4133, 4609, 5220, 6810, 7625, 1016, 2089, 2128, 3962, 5176, 6070, 6723, 7706, 1016, 2126, 2605, 3222, 4214, 5806, 6390, 8129, 1016, 2126, 2782, 3164, 4406, 6114, 6789, 7906, 887, 1290, 2948, 3164, 4268, 5644, 6348, 8113, 1081, 1179, 2663, 3374, 4387, 5223, 6254, 8271, 940, 1974, 2321, 4028, 4462, 5954, 7150, 7740, 643, 1440, 3023, 3894, 4181, 5671, 6755, 7248, 1081, 2008, 2985, 3564, 5052, 6190, 7071, 7355, 776, 1913, 3083, 3352, 4339, 5735, 6476, 7539, 1022, 2035, 3083, 3288, 5192, 5848, 6476, 8158, 961, 1939, 3094, 3868, 4701, 5513, 7052, 8258, 547, 1897, 2325, 3467, 5177, 5978, 6918, 8030, 970, 1469, 2559, 3929, 4389, 5512, 7026, 7799, 211, 1120, 2636, 4135, 4970, 5811, 7157, 7516, 1011, 1581, 2980, 3213, 4891, 5259, 6603, 7264, 1090, 1912, 2636, 3371, 4646, 5746, 6714, 8098, 1025, 1469, 3032, 3561, 4823, 6068, 6224, 7860, 610, 2089, 2748, 4028, 4291, 5894, 6348, 7892, 610, 1974, 2129, 3420, 4321, 6014, 7084, 8261, 610, 1880, 2977, 3979, 4859, 5968, 6281, 7538, 610, 1440, 3043, 3374, 4287, 5960, 6678, 8258, 610, 1440, 3043, 4153, 4385, 6070, 6338, 7458, 288, 1675, 2783, 3880, 4287, 5493, 6515, 7774, 105, 2125, 2943, 3595, 4539, 6211, 6291, 7248, 1097, 1791, 3062, 4174, 4822, 5550, 7160, 7838, 915, 1851, 2914, 3550, 5106, 5493, 6840, 7557, 256, 1304, 3062, 4089, 4870, 5296, 7160, 7485, 240, 1623, 2340, 3914, 4859, 5296, 6671, 8262, 789, 2078, 2340, 4071, 4398, 5580, 7084, 8130, 256, 2065, 2473, 3914, 4387, 5630, 7218, 8164, 256, 1851, 3000, 3680, 4344, 5550, 6338, 7821, 256, 1851, 3064, 3825, 4583, 6129, 7098, 8261, 153, 1752, 2163, 3692, 4181, 5220, 7132, 7720, 512, 1509, 2754, 3929, 4529, 5968, 7207, 8179, 271, 1702, 2381, 3487, 5044, 5573, 6870, 8026, 884, 1494, 2873, 3197, 4812, 5570, 7018, 7563, 1057, 1827, 2469, 3609, 5024, 5527, 6519, 8215, 1062, 2115, 2980, 3371, 4478, 5547, 6651, 7369, 952, 1349, 2493, 3218, 4991, 6123, 6804, 7872, 304, 1684, 2273, 3720, 4399, 5622, 7217, 7789, 390, 1623, 2783, 3309, 4713, 5212, 7010, 8261, 512, 1186, 3135, 4114, 5159, 5438, 6338, 7421, 859, 1885, 2210, 3664, 4181, 5694, 7157, 7865, 183, 1938, 2601, 4060, 5139, 5474, 6443, 8266, 118, 1597, 2944, 4138, 4459, 5556, 7220, 8066, 183, 1510, 2971, 3352, 4996, 5719, 6238, 8236, 757, 2034, 2278, 3904, 5159, 5936, 7035, 7723, 617, 2106, 3133, 3955, 5159, 6117, 6909, 8076, 935, 2111, 2729, 3930, 4918, 5296, 6988, 8203, 512, 1919, 2315, 3550, 5088, 6205, 7047, 7627, 335, 1982, 2895, 4096, 4691, 5960, 7047, 8041, 150, 2048, 2156, 3773, 4219, 6018, 6401, 8151, 1025, 2118, 3145, 3605, 4834, 5454, 6772, 8132, 1025, 1773, 3080, 3803, 4588, 5968, 6540, 7720, 643, 1227, 3128, 3440, 5104, 5219, 6776, 8083, 887, 1227, 2167, 4041, 4470, 5661, 6771, 7811, 1081, 1499, 3053, 3917, 4235, 5638, 6852, 7806, 610, 1499, 2980, 3671, 4536, 6195, 7201, 7908, 610, 1797, 2996, 3917, 4630, 5378, 7004, 8185, 390, 1771, 3007, 4152, 4583, 6129, 6515, 7631, 914, 1919, 2936, 4011, 4536, 6211, 7162, 8266, 288, 1867, 3075, 4071, 5080, 6205, 7201, 7806, 914, 1963, 3065, 4166, 5061, 6182, 6604, 8267, 918, 1906, 2614, 3316, 5016, 5918, 7119, 7659, 465, 2019, 2239, 3741, 4611, 5631, 6974, 7941, 994, 2036, 2751, 3429, 4941, 6018, 6974, 7263, 1038, 1916, 2580, 3566, 4457, 5341, 6273, 7478, 996, 1472, 2721, 3282, 4461, 6032, 6663, 8254, 620, 1538, 2349, 3807, 5146, 5924, 6663, 7355, 603, 1906, 2349, 4133, 4896, 5325, 6485, 8103, 756, 1636, 2992, 3578, 4228, 5950, 6732, 8229, 403, 1653, 2994, 3568, 4478, 5320, 6565, 7477, 308, 2067, 2542, 3426, 4611, 5788, 7239, 8061, 228, 1596, 2839, 3798, 4844, 5413, 6589, 8118, 654, 1633, 3133, 4125, 5079, 5962, 6284, 7303, 240, 1756, 2341, 3420, 5106, 5210, 6889, 7899, 654, 1623, 2316, 3803, 4237, 5493, 7132, 8126, 518, 1756, 3133, 3891, 4237, 5296, 6579, 8076, 568, 1756, 2775, 3838, 5179, 5514, 6740, 7811, 488, 2111, 2729, 3662, 4611, 5935, 7120, 8126, 488, 1756, 2941, 3470, 4704, 5892, 6988, 8147, 915, 2017, 2669, 3595, 4512, 5241, 7069, 7766, 915, 1756, 2941, 3914, 4877, 6139, 6752, 8237, 859, 2106, 3144, 3749, 5083, 5438, 7129, 7563, 617, 1905, 2802, 3857, 4214, 5436, 6717, 7677, 419, 1905, 2560, 3879, 4583, 5901, 6612, 7715, 859, 1905, 2562, 3932, 5166, 5385, 6996, 7715, 488, 1622, 3021, 3825, 4387, 6139, 7152, 7766, 945, 1528, 2806, 4071, 4624, 5892, 6794, 7723, 860, 2017, 2914, 4071, 4704, 6139, 7124, 8223, 142, 1528, 2806, 3825, 4624, 6081, 6794, 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, 1528, 2914, 3825, 4798, 6186, 6794, 8223, 915, 1684, 2164, 3891, 4512, 5981, 6996, 8076, 488, 1528, 2858, 3893, 5079, 6081, 6752, 7831, 142, 1622, 2806, 3825, 4704, 6139, 7124, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 915, 1851, 2914, 3893, 4798, 5493, 6996, 8237, 223, 1898, 2998, 3981, 5196, 6119, 7100, 7607, 502, 1318, 2173, 3299, 5133, 6153, 6850, 7331, 983, 1440, 2173, 3560, 4321, 5867, 7155, 7914, 535, 1720, 2660, 3329, 4281, 5431, 6391, 7934, 884, 1843, 2844, 3979, 4321, 6060, 7108, 7267, 884, 2043, 2146, 4142, 4321, 5418, 6457, 8031, 1025, 1732, 2349, 3994, 4333, 5447, 7142, 8151, 1025, 2009, 2678, 3396, 4259, 5597, 6224, 8052, 271, 1915, 3080, 3537, 4586, 6007, 6957, 8151, 643, 1682, 2492, 3771, 5011, 5472, 6254, 7936, 104, 1141, 2519, 3307, 4805, 6204, 6592, 7965, 887, 2033, 2946, 3932, 5153, 6181, 6734, 7367, 887, 1858, 2924, 3610, 4374, 5597, 7155, 7717, 150, 1332, 2436, 3807, 5153, 5889, 7100, 7869, 150, 1699, 2348, 3427, 5143, 5359, 6715, 7880, 443, 1726, 2395, 3248, 4836, 5699, 6465, 7622, 443, 1141, 2939, 3861, 5164, 5643, 6801, 7661, 535, 2048, 2564, 3936, 5169, 5714, 6753, 7528, 487, 1586, 2348, 3375, 4774, 5824, 6732, 7442, 859, 1734, 2820, 3562, 4684, 6128, 6903, 7627, 1097, 1791, 2534, 4150, 5038, 6195, 6967, 8083, 256, 1525, 2312, 3885, 5061, 5830, 7058, 8179, 334, 1633, 2729, 3555, 5080, 6120, 7090, 7618, 334, 1286, 2970, 3879, 4437, 5493, 6808, 7260, 568, 1510, 2904, 3183, 5159, 5521, 6486, 8169, 757, 1147, 3026, 4111, 4411, 5334, 7229, 8036, 552, 1684, 3026, 3798, 4918, 5942, 7168, 8164, 552, 1750, 2833, 3391, 5038, 6149, 7207, 7838, 818, 1623, 2833, 4071, 4287, 5811, 7090, 8147, 818, 1623, 3117, 3803, 4870, 5534, 7124, 7664, 488, 1528, 3065, 4145, 4624, 6137, 7077, 8147, 915, 1622, 2806, 4145, 4624, 6139, 7226, 7876, 419, 2017, 2833, 4113, 4624, 6205, 6996, 8196, 789, 1304, 3095, 3893, 4624, 5635, 7201, 7715, 317, 1386, 2287, 3361, 4181, 5368, 6740, 8061, 716, 1596, 2903, 3470, 5079, 5837, 6410, 8098, 1101, 1969, 2429, 3243, 4350, 5536, 6224, 7767, 399, 2089, 2429, 3329, 4616, 6061, 7167, 7728, 576, 1489, 2486, 3583, 4224, 5865, 6985, 7293, 654, 1529, 3005, 3749, 5000, 5536, 6815, 7496, 654, 2002, 3133, 3425, 5061, 6051, 7024, 7811, 654, 1826, 3008, 3851, 4983, 6205, 7047, 7781, 518, 1756, 2996, 3337, 4423, 5344, 7024, 7964, 654, 1758, 2554, 3277, 4863, 5493, 6627, 7494, 518, 1876, 2654, 3213, 5079, 5840, 7207, 7537, 256, 1575, 2250, 3852, 5042, 6048, 6308, 7948, 308, 1620, 2340, 3961, 4512, 5385, 7120, 8261, 818, 1756, 3008, 3886, 5166, 5534, 6809, 7723, 915, 1528, 2669, 3595, 5104, 5580, 6589, 7949, 956, 1961, 3117, 3440, 5038, 5514, 6515, 7715, 779, 1577, 2991, 3826, 4822, 5832, 7218, 7865, 650, 1637, 2936, 3964, 4872, 5980, 6938, 7920, 784, 1535, 2389, 4016, 4368, 5332, 6851, 8172, 887, 1301, 3031, 3712, 4628, 5746, 6533, 7892, 150, 2026, 2588, 3243, 4242, 5536, 6750, 7737, 1067, 1535, 2605, 4138, 4206, 5759, 6348, 7447, 271, 2070, 2844, 3981, 4540, 6220, 7169, 7613, 736, 1167, 2455, 3847, 4544, 5828, 6457, 7355, 150, 1279, 2530, 3531, 4179, 5335, 6383, 7442, 993, 1538, 2623, 4016, 4765, 5644, 6657, 7772, 123, 1167, 2553, 3880, 4847, 5287, 6272, 7934, 888, 1543, 2425, 3540, 4408, 5512, 6795, 7261, 1067, 2089, 2189, 3842, 4274, 5521, 7088, 7414, 271, 1848, 2663, 3281, 4848, 5418, 6765, 7267, 150, 1848, 2712, 3656, 4474, 6118, 6540, 8023, 504, 1469, 3126, 3561, 4720, 5458, 6839, 7910, 643, 1469, 2628, 3167, 4934, 6169, 6723, 7437, 1081, 1672, 2493, 3967, 4310, 5285, 6306, 7494, 610, 1518, 3108, 3564, 4554, 5715, 6338, 7918, 1025, 1499, 2423, 4150, 4859, 5288, 7198, 7764, 390, 2088, 2895, 3856, 4780, 5202, 7084, 8267, 1056, 2125, 2806, 3188, 4551, 5694, 6688, 7557, 308, 1791, 3064, 3983, 5061, 5705, 6996, 7421, 804, 1705, 3064, 3990, 4287, 6123, 6786, 7723, 308, 1705, 2947, 3918, 4980, 5705, 6752, 8267, 1097, 1945, 2960, 4071, 5183, 6205, 7201, 8237, 779, 1540, 3135, 4108, 4551, 6129, 7157, 8223, 868, 1510, 2720, 3642, 4673, 6180, 6967, 7992, 614, 1808, 2261, 3770, 4942, 5749, 7024, 8086, 936, 1942, 2658, 3560, 5086, 6116, 6828, 7450, 646, 1561, 3086, 3939, 4687, 5294, 6472, 7503, 936, 1570, 2658, 3195, 4219, 5313, 6717, 7549, 936, 1555, 2271, 3563, 4925, 5454, 7017, 7908, 936, 1555, 2559, 3880, 4821, 5508, 6538, 8231, 104, 1828, 3040, 3167, 4753, 5283, 6530, 7910, 104, 1440, 2813, 3167, 4887, 5384, 6328, 8200, 1090, 1275, 2975, 3201, 4444, 5457, 7007, 7474, 211, 1871, 2975, 3277, 5080, 6014, 6632, 8147, 1056, 1581, 3006, 4067, 4822, 5911, 6630, 8209, 390, 1280, 2469, 3983, 4374, 6123, 7221, 7631, 475, 1623, 3149, 4171, 4890, 5677, 6820, 7870, 901, 2018, 2381, 3603, 4967, 6112, 6440, 8244, 708, 1510, 2598, 3407, 5159, 5839, 7069, 8261, 650, 1280, 2818, 3755, 5106, 5856, 6849, 7716, 150, 1244, 2836, 3807, 4621, 5648, 6307, 7717, 895, 1938, 3033, 3442, 4780, 5306, 6816, 7318, 807, 1349, 2878, 3403, 5127, 5810, 7043, 7641, 104, 1349, 2716, 3580, 4374, 5656, 6452, 7992, 1025, 1797, 2729, 3788, 4856, 5378, 6421, 8078, 1025, 1299, 2610, 3277, 5106, 6007, 7207, 7908, 643, 2107, 2794, 3949, 4287, 6123, 6393, 8195, 807, 1794, 2644, 3424, 4777, 6123, 6865, 8188, 536, 1794, 2636, 3261, 4323, 6029, 7114, 7266, 807, 1349, 3097, 3963, 4539, 5602, 6371, 7862, 807, 2079, 2587, 3329, 4621, 5413, 6841, 7640, 582, 1796, 2689, 3329, 4942, 5599, 6923, 7843, 424, 1388, 2631, 4082, 4204, 6002, 7157, 8164, 756, 1281, 2980, 4089, 4191, 5653, 6348, 7481, 118, 1286, 2627, 4089, 4529, 6080, 6763, 8082, 568, 1633, 3008, 4096, 4863, 5811, 6694, 8266, 334, 1286, 2349, 4083, 4225, 5557, 7025, 7557, 568, 1286, 3133, 4021, 4844, 6208, 6810, 8126, 757, 1286, 2542, 3930, 4411, 5378, 6589, 7563, 153, 1286, 3133, 3231, 5088, 5811, 6607, 8126, 552, 1750, 3135, 3955, 5038, 6175, 6688, 7831, 684, 1797, 2957, 4135, 4822, 5241, 7132, 8126, 948, 1234, 3008, 3788, 5157, 6085, 6871, 8164, 104, 1663, 2163, 3167, 4461, 5618, 6549, 7525, 536, 1542, 2175, 4038, 4971, 5900, 6400, 8268, 104, 2089, 2389, 3480, 5142, 5604, 7022, 8164, 104, 2089, 2175, 3559, 4363, 5871, 6776, 7525, 850, 2056, 2175, 3187, 4545, 5377, 6258, 7838, 1025, 1617, 2175, 3448, 4604, 5469, 7059, 8246, 610, 1988, 2800, 3635, 4399, 5363, 6928, 8132, 887, 1581, 3047, 3239, 5107, 5506, 7207, 8188, 271, 2079, 2175, 3557, 4965, 5237, 6443, 7881, 1025, 1499, 2282, 4067, 4546, 5910, 7128, 8239, 610, 2053, 2129, 3957, 4611, 6064, 7173, 8245, 708, 1932, 3073, 3960, 4744, 5892, 6352, 7728, 518, 1407, 2346, 3253, 4321, 5516, 7085, 7973, 225, 2114, 2752, 4143, 4596, 6175, 6614, 8226, 225, 1596, 2791, 3277, 4193, 5767, 6623, 7867, 228, 2002, 3147, 3518, 4287, 6163, 6338, 8193, 256, 1858, 2752, 3570, 4859, 5901, 7047, 8213, 555, 1961, 3135, 3914, 5166, 5514, 6752, 7706, 818, 1534, 2806, 3914, 4980, 5883, 7207, 7677, 488, 2017, 2806, 3440, 4555, 6195, 7132, 8147, 915, 1684, 2164, 3825, 5157, 6139, 6752, 8147, 915, 2017, 2914, 3893, 4798, 5241, 6752, 7766, 859, 2127, 2858, 3367, 5079, 5767, 7226, 8223, 859, 2127, 2729, 3374, 4583, 5515, 7226, 7716, 859, 2127, 2554, 3914, 4555, 6137, 7090, 7732, 859, 2127, 2858, 3914, 4615, 5678, 6515, 7476, 859, 2127, 2560, 3827, 4398, 5901, 6589, 7732, 859, 1974, 2554, 3827, 5159, 5438, 7006, 7766, 859, 1750, 2970, 3893, 4681, 5241, 6584, 7766, 915, 1147, 2970, 3914, 4798, 5981, 6584, 7715, 555, 1147, 2970, 4145, 4681, 5635, 7077, 7485, 555, 1147, 2806, 4145, 5060, 5981, 7077, 7876, 488, 2017, 3065, 4145, 4624, 6139, 6589, 8223, 142, 2017, 2806, 3825, 4704, 5892, 6794, 8076, 142, 1622, 2806, 3825, 4624, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 789, 2127, 2718, 4018, 4844, 5678, 6840, 7303, 256, 1706, 2885, 3692, 4720, 5472, 6762, 7557, 545, 1706, 2453, 3635, 4371, 6141, 6895, 8128, 897, 1550, 2579, 3246, 4804, 5978, 6958, 7536, 137, 1808, 2751, 4079, 4566, 5224, 6529, 8085, 964, 1942, 2254, 3476, 4800, 5921, 7140, 8225, 487, 1682, 3066, 3165, 5151, 5443, 7229, 8131, 487, 2117, 2708, 3172, 4452, 5925, 6367, 8128, 646, 1455, 3066, 3875, 4604, 5470, 6615, 8033, 458, 2079, 3126, 3806, 4604, 5598, 6982, 8169, 884, 1636, 2357, 3187, 4664, 5224, 6649, 7481, 1029, 1526, 2151, 4146, 4946, 5224, 6692, 7957, 1005, 1296, 3130, 4098, 4654, 6133, 7100, 7476, 955, 1914, 2440, 3692, 5164, 5695, 7007, 8258, 643, 1227, 3033, 3271, 4609, 6181, 7207, 8132, 887, 1227, 2946, 3452, 5196, 5523, 6991, 7825, 887, 1499, 3092, 3973, 4622, 5761, 7168, 7959, 150, 1820, 2655, 3201, 5166, 5749, 6791, 7457, 160, 1924, 2944, 4150, 4807, 5796, 6871, 8236, 304, 2000, 2298, 3901, 5080, 5694, 6736, 7908, 1081, 1407, 2946, 3454, 4536, 5565, 7019, 8260, 512, 2068, 2946, 4152, 4536, 5730, 7132, 8066, 571, 2065, 2803, 3932, 5020, 5767, 7220, 7386, 571, 1791, 2833, 4145, 4305, 6014, 6810, 8266, 914, 1218, 2746, 3550, 4622, 5901, 6972, 8066, 419, 1845, 2943, 3550, 5129, 5548, 7207, 8260, 512, 1791, 3008, 3550, 4622, 5978, 6709, 7965, 419, 1508, 2287, 3982, 4555, 5210, 7084, 7806, 424, 1700, 2542, 4145, 5166, 6149, 6338, 7936, 571, 1560, 2875, 4145, 4583, 5982, 7035, 7592, 240, 2008, 2466, 3692, 4890, 6149, 7222, 7313, 986, 2114, 3003, 3756, 4978, 6002, 6574, 8041, 459, 1706, 2492, 3600, 4666, 6002, 7111, 8210, 487, 1708, 2583, 4007, 4449, 5538, 6889, 8173, 487, 1296, 2655, 4007, 4195, 6034, 7219, 7916, 487, 1296, 2890, 4007, 4195, 6086, 6814, 8044, 1025, 1266, 2751, 3543, 4556, 5224, 7219, 7983, 487, 1915, 3066, 4007, 5074, 6135, 6249, 8205, 487, 1915, 2436, 4007, 4829, 6000, 6387, 7530, 487, 1915, 2436, 4007, 4829, 6135, 6921, 7248, 487, 1255, 2693, 3241, 5088, 5752, 6933, 8050, 986, 1633, 2794, 3936, 4764, 5814, 6244, 7837, 582, 2079, 2678, 3623, 4539, 6000, 7082, 7441, 424, 1388, 2751, 3960, 4565, 5960, 6529, 7402, 663, 2008, 2436, 3332, 4437, 5722, 7230, 8169, 231, 1978, 3116, 3756, 5019, 5320, 6442, 8126, 424, 1550, 2741, 3741, 5149, 5749, 7224, 8161, 708, 1942, 2678, 3515, 4931, 5624, 7158, 7751, 986, 1397, 2352, 3928, 4834, 6221, 7043, 7498, 545, 2107, 3033, 3869, 4364, 5422, 7163, 8072, 582, 1653, 2736, 3323, 4402, 5706, 7222, 7424, 992, 2053, 2751, 3246, 4213, 6074, 6325, 7972, 938, 1942, 2403, 4130, 4955, 6062, 7058, 7442, 1080, 1397, 2515, 3782, 5108, 6034, 7065, 7367, 668, 2107, 2432, 3580, 4945, 6005, 6466, 7510, 938, 1906, 2327, 3741, 4650, 5318, 6466, 7291, 952, 1669, 2498, 3239, 4229, 6034, 7170, 8015, 981, 1455, 3116, 3246, 4408, 5870, 6284, 7910, 390, 1851, 2316, 3596, 4759, 6128, 6551, 7805, 308, 1750, 2838, 3374, 4912, 5276, 6630, 8267, 804, 1705, 2880, 3188, 4387, 5767, 7071, 7557, 488, 2017, 2947, 4114, 4888, 6085, 7077, 8267, 142, 1528, 2781, 3188, 4704, 5901, 7077, 8185, 818, 1622, 2925, 3825, 5104, 6103, 7124, 8179, 818, 2017, 3117, 3367, 4782, 6139, 7124, 7766, 818, 2017, 2164, 3893, 4624, 6186, 7201, 7766, 818, 1648, 2914, 3893, 5038, 6103, 7201, 8237, 555, 2111, 2164, 3680, 4512, 6081, 6688, 7485, 555, 2111, 2858, 4006, 4681, 5901, 7201, 7485, 555, 1684, 2340, 3374, 5038, 5493, 7152, 7887, 555, 1648, 2833, 3893, 4512, 5981, 7077, 7732, 555, 1648, 2970, 3891, 4704, 5901, 6794, 7723, 555, 1648, 2833, 3893, 4512, 5963, 7120, 8076, 915, 1622, 3021, 3891, 4512, 6139, 6996, 8080, 915, 1648, 2858, 3914, 4798, 5385, 7226, 8237, 915, 1528, 3021, 3891, 4512, 5241, 6794, 8223, 555, 1684, 2858, 4166, 4681, 5901, 7090, 8147, 555, 1684, 2858, 3891, 4681, 5981, 6996, 7865, 915, 2111, 2858, 3914, 4798, 6081, 7098, 8223, 555, 1648, 3021, 3891, 4512, 5811, 7152, 8126, 488, 1528, 3117, 3391, 4798, 5550, 6752, 7664, 488, 1528, 3117, 3893, 4512, 6139, 7124, 8126, 488, 1622, 2914, 3891, 4624, 6139, 7124, 8196, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2914, 3893, 4624, 6139, 7124, 7766, 488, 2017, 2164, 3893, 4624, 6186, 7124, 7766, 256, 2013, 2709, 4071, 5135, 5844, 7090, 8126, 225, 2127, 2959, 4096, 4344, 5520, 6430, 8012, 225, 2060, 2287, 4113, 4181, 6157, 6988, 7485, 654, 2002, 2946, 3236, 4549, 6110, 6988, 7715, 225, 1252, 2190, 3838, 4863, 5534, 7090, 7962, 228, 2060, 2529, 3592, 4918, 6205, 6671, 7485, 543, 1525, 3064, 3838, 5040, 5550, 6889, 7706, 789, 1525, 3062, 3391, 5135, 6175, 6889, 7716, 105, 1851, 3064, 3893, 4638, 5438, 6840, 7476, 789, 2078, 2473, 3391, 4549, 5493, 7226, 7715, 568, 1851, 2858, 3857, 4287, 6048, 6604, 7750, 731, 1787, 2836, 3857, 4670, 6145, 6325, 8034, 1098, 1628, 2481, 3273, 4513, 5873, 7085, 8068, 1006, 1299, 2940, 3960, 4872, 5280, 6892, 7704, 344, 1509, 2361, 3870, 4335, 5595, 7065, 7865, 840, 1683, 2361, 3640, 5022, 5594, 7044, 7987, 767, 1477, 2703, 3298, 4790, 6128, 6408, 8060, 684, 1794, 2793, 4074, 4681, 6129, 6732, 7256, 512, 1773, 2918, 3904, 4700, 5730, 6584, 7732, 779, 1499, 2803, 3891, 5159, 5216, 6972, 7806, 804, 1508, 2783, 4018, 5139, 5630, 6996, 7876, 715, 2088, 2187, 3795, 4609, 5677, 6584, 8214, 789, 1945, 2473, 4006, 5083, 5219, 7201, 7949, 440, 2106, 2340, 3803, 4536, 6131, 6979, 8083, 789, 1304, 2473, 3680, 4888, 5908, 6988, 8083, 789, 1304, 2340, 4113, 5075, 5901, 6579, 7753, 256, 2060, 3098, 4026, 4877, 5580, 7098, 7683, 901, 2106, 3133, 3304, 4630, 6131, 6627, 7557, 105, 1386, 2970, 3891, 4888, 5963, 7098, 8164, 132, 1752, 2560, 3754, 5157, 6205, 7207, 8076, 571, 1860, 2998, 3226, 4513, 5661, 6613, 7485, 864, 1200, 2605, 4057, 4910, 5313, 6868, 7858, 531, 1469, 2543, 3780, 4756, 6094, 7236, 8202, 917, 1402, 2749, 3536, 5027, 5278, 6893, 7973, 123, 1793, 3119, 3922, 4310, 5644, 6595, 8069, 736, 1167, 2425, 3845, 4507, 6101, 6457, 8190, 917, 1893, 2361, 3729, 4531, 5583, 6950, 7906, 736, 2008, 2189, 3326, 4810, 6105, 6884, 7440, 917, 1167, 2445, 3567, 4766, 5703, 6667, 7746, 736, 1179, 2675, 3536, 4605, 6050, 6687, 8224, 917, 1469, 2835, 3297, 4835, 5858, 6685, 7496, 333, 1897, 2822, 3536, 4593, 5928, 6634, 7516, 235, 1393, 2822, 3369, 4652, 5836, 6772, 7989, 770, 1296, 2135, 3566, 5130, 5654, 7217, 7981, 603, 1318, 2214, 3789, 4564, 5364, 6283, 7594, 512, 1672, 2458, 3369, 5061, 6179, 7129, 7939, 1097, 1675, 2991, 4174, 5129, 5968, 6467, 8252, 789, 1845, 2838, 3891, 4622, 5241, 6810, 7715, 256, 2030, 2746, 3680, 5019, 6146, 7152, 7965, 789, 2030, 2996, 3470, 4287, 6120, 7239, 7631, 899, 1557, 2473, 3352, 4881, 5890, 6709, 8126, 914, 1791, 2293, 4174, 5120, 6156, 6771, 8185, 216, 2065, 2924, 3848, 5139, 5436, 6889, 8083, 840, 1935, 2679, 3237, 4340, 5536, 7184, 7617, 1067, 1507, 2452, 3640, 4191, 5825, 6657, 7305, 271, 1557, 2586, 4101, 4700, 5325, 6765, 7481, 1052, 1703, 2953, 3498, 4539, 5835, 7089, 7479, 271, 1635, 2959, 3794, 4539, 5470, 6820, 7823, 844, 2118, 2881, 3446, 5098, 5904, 6857, 8205, 225, 2114, 2151, 3798, 4955, 5810, 6932, 7677, 225, 1897, 2598, 3671, 4601, 5310, 6691, 8126, 654, 1241, 3144, 4125, 4955, 5677, 6627, 7887, 228, 1933, 2718, 3425, 5088, 5749, 6774, 7537, 613, 1797, 2559, 4145, 5023, 5963, 7241, 7367, 1067, 1555, 2725, 4026, 5036, 5303, 6422, 7965, 884, 2009, 3137, 3543, 4612, 5776, 6789, 7786, 936, 1735, 2381, 3794, 4790, 5261, 6521, 7809, 895, 1376, 3130, 3403, 4374, 6146, 6772, 7336, 304, 2107, 2946, 3537, 4925, 6160, 6346, 7290, 1025, 1494, 2175, 4103, 4592, 5893, 7207, 7952, 160, 2009, 2923, 3709, 4807, 5925, 6412, 8076, 778, 1755, 2661, 3889, 4861, 5475, 6944, 7992, 104, 1227, 2207, 3165, 4440, 5890, 6283, 7962, 1025, 1850, 2923, 4096, 4861, 5899, 6708, 7918, 1025, 1773, 2946, 3901, 5165, 5687, 6871, 8260, 610, 1146, 2946, 3932, 4966, 5765, 7114, 7400, 1035, 1141, 2203, 3340, 4533, 6152, 7220, 7488, 752, 2001, 2429, 4027, 4374, 5757, 7244, 8245, 1025, 1918, 2868, 3258, 5018, 5784, 6260, 8215, 1025, 1850, 2868, 3258, 4622, 5765, 6813, 7816, 1029, 1388, 2163, 4026, 4691, 5864, 6718, 7829, 786, 1826, 2831, 4007, 4467, 6028, 6970, 7877, 363, 2036, 2680, 3370, 4556, 5839, 6692, 8266, 840, 2120, 2486, 3832, 4609, 5347, 6550, 8113, 1101, 2101, 3130, 3329, 4982, 5363, 6485, 8061, 1067, 1183, 2680, 3434, 4834, 5976, 7240, 8252, 271, 1183, 2213, 3434, 4310, 5585, 7238, 7525, 895, 1183, 2660, 3452, 4645, 5526, 6956, 8137, 895, 1440, 2167, 4046, 4539, 5689, 6557, 7567, 150, 2050, 3050, 3248, 4892, 5894, 6411, 7873, 150, 1389, 2173, 3736, 5031, 6118, 6468, 7656, 803, 1393, 2173, 4155, 4728, 6154, 7060, 7741, 247, 1352, 2716, 3934, 5154, 5286, 6396, 7869, 993, 1974, 2997, 4137, 4285, 5918, 6904, 7913, 1029, 1507, 3003, 3509, 4181, 5461, 6574, 7910, 643, 1773, 2225, 3222, 5062, 5385, 6632, 8210, 1056, 1850, 2783, 4074, 4859, 5589, 7148, 7816, 401, 1721, 2754, 3440, 5058, 5500, 6410, 8107, 401, 1306, 3128, 3201, 4426, 5568, 7207, 7811, 1081, 1499, 3098, 3955, 4622, 5901, 6775, 8185, 390, 1930, 2754, 3410, 5145, 5687, 7004, 7876, 1056, 1422, 2801, 4101, 5145, 5216, 6284, 7948, 1099, 1791, 2880, 4114, 4822, 6195, 6771, 7421, 488, 2041, 2991, 4018, 4888, 5241, 6515, 7949, 153, 1964, 2941, 3885, 5167, 6085, 7160, 8061, 489, 1510, 2608, 4056, 4555, 5439, 6848, 8078, 617, 2111, 3006, 3994, 4983, 5378, 7188, 7887, 1071, 2065, 2352, 4168, 4449, 5437, 6588, 7494, 942, 1199, 3037, 3306, 4451, 6208, 7209, 7256, 840, 1199, 2576, 3649, 5044, 5610, 6377, 7265, 655, 2036, 2790, 3721, 4753, 5491, 7140, 7923, 1030, 1850, 2361, 3565, 4299, 5501, 6524, 7254, 113, 1589, 3049, 3931, 4447, 5522, 6663, 7496, 265, 1469, 2800, 3598, 5010, 5410, 6478, 7968, 235, 1990, 2294, 3777, 5118, 5305, 6735, 7718, 373, 2094, 2666, 3564, 4373, 5781, 6788, 7558, 424, 1446, 2960, 3717, 4472, 5315, 6348, 7868, 1090, 1146, 2365, 3811, 5092, 5994, 6287, 7262, 424, 2095, 3003, 3983, 5067, 6120, 7006, 7677, 691, 1794, 2398, 3232, 4993, 5344, 6976, 7828, 1025, 1510, 2448, 3894, 4611, 6197, 6564, 8150, 1025, 1732, 3112, 3811, 4791, 5532, 7129, 7962, 610, 1692, 2402, 3968, 4321, 5521, 6876, 7279, 424, 1306, 2801, 4068, 4878, 5344, 7023, 7865, 887, 1227, 2258, 3192, 4630, 5840, 7222, 7677, 1090, 1773, 2492, 4135, 4966, 6129, 7168, 8006, 610, 1146, 2946, 3789, 4633, 5279, 7058, 7485, 424, 1238, 2783, 3253, 5088, 6146, 7132, 7508, 1090, 1978, 2895, 3671, 4387, 5968, 6588, 8260, 1025, 1897, 3075, 3232, 4533, 5832, 7077, 7716, 271, 1727, 2144, 3788, 4852, 5726, 6774, 8070, 271, 1659, 2247, 3379, 5068, 5345, 6581, 8085, 1025, 1843, 2748, 3487, 4932, 5747, 7047, 7537, 1025, 1469, 2792, 3987, 4426, 5396, 6626, 7818, 390, 1791, 2689, 3334, 4390, 5909, 6470, 7369, 390, 1692, 2925, 3540, 5095, 6156, 6589, 7492, 610, 1676, 3144, 3610, 4622, 5661, 6988, 7515, 610, 1499, 3098, 3822, 4259, 5678, 6668, 8107, 1071, 1771, 2946, 3201, 5139, 5227, 7218, 7908, 887, 2125, 2946, 3188, 5166, 5641, 6646, 7665, 1090, 1850, 2946, 3271, 5165, 6070, 6301, 7481, 826, 1141, 2868, 3605, 5118, 5761, 6364, 7494, 536, 1120, 2188, 3472, 4224, 5889, 7114, 7902, 620, 1639, 3130, 3895, 4458, 5535, 6808, 7339, 1011, 1918, 2444, 3820, 4748, 6076, 7118, 8262, 981, 1695, 2567, 3517, 4447, 5918, 6851, 8159, 1091, 1992, 2656, 3931, 4333, 5268, 7096, 7720, 980, 1992, 2828, 3776, 5016, 6175, 6834, 7262, 571, 1878, 2582, 3803, 4470, 6129, 7160, 8260, 663, 1797, 2356, 3645, 5166, 5705, 7207, 8260, 1056, 1747, 2925, 3909, 5080, 5901, 6988, 7876, 684, 1777, 2924, 4011, 4980, 6081, 7239, 7723, 1097, 1508, 2960, 4108, 4630, 6211, 7006, 8196, 818, 1963, 2880, 4071, 4366, 6129, 7006, 7766, 818, 1648, 3008, 3188, 4888, 5635, 6794, 7949, 878, 2046, 2989, 3746, 5083, 5901, 7140, 7826, 654, 1906, 2980, 4047, 4638, 5520, 7095, 7717, 183, 2097, 2554, 3726, 4993, 5386, 6291, 7494, 401, 1286, 2936, 3811, 4235, 6217, 6468, 8243, 893, 1194, 2544, 3669, 4440, 5746, 6398, 7538, 113, 1510, 2642, 3717, 4881, 5934, 6901, 8150, 803, 2011, 2979, 3616, 4552, 5584, 6732, 7687, 265, 1886, 2260, 3441, 4323, 6217, 6714, 7978, 265, 1303, 2741, 3741, 4731, 5809, 6839, 7277, 770, 1786, 2532, 3751, 4205, 5204, 6827, 8121, 1038, 1492, 2460, 3869, 4415, 5665, 6658, 7480, 603, 1786, 2580, 4038, 4911, 6171, 6961, 7648, 1016, 1723, 2567, 3986, 4741, 5989, 6571, 7869, 980, 1607, 3112, 3901, 4808, 5893, 6563, 8240, 1090, 1871, 2231, 3602, 4852, 5548, 6614, 7500, 779, 1681, 2780, 3986, 5129, 5821, 6997, 8145, 1056, 1849, 2941, 4018, 4792, 5994, 6871, 7421, 1056, 1485, 2991, 3803, 4555, 5378, 6774, 7574, 684, 1508, 2803, 3803, 4822, 5241, 6786, 7421, 142, 2041, 3135, 4071, 4704, 5761, 7226, 8237, 818, 1528, 3128, 4011, 4888, 6211, 6786, 8260, 488, 1528, 3117, 3982, 5058, 5832, 7201, 8237, 488, 1528, 2914, 3893, 4624, 6139, 6979, 8223, 488, 1528, 2914, 3893, 4624, 6139, 6794, 7876, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8147, 818, 2017, 3065, 3893, 5080, 5635, 6794, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 2017, 3065, 3825, 4624, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 43, 35, 5, 41, 39, 64, 5, 41, 69, 52, 5, 17, 75, 5, 66, 33, 54, 30, 35, 54, 16, 64, 5, 16, 54, 30, 5, 63, 33, 75, 35, 16, 54, 64, 5, 5, 3, 142, 2111, 2914, 3825, 4512, 6211, 7098, 8147, 915, 2111, 2858, 3825, 5079, 5219, 7006, 7831, 488, 2017, 3117, 3891, 4798, 6186, 7124, 8196, 142, 1528, 2914, 3825, 4798, 6139, 7226, 8147, 484, 1623, 2781, 3891, 5060, 5612, 6604, 8223, 171, 1490, 2542, 3803, 4622, 6205, 7157, 7537, 844, 1333, 2429, 3413, 4895, 5353, 6870, 8078, 611, 2094, 2429, 4038, 5031, 5648, 6466, 8108, 1004, 2059, 2677, 4055, 4401, 6135, 6478, 8049, 631, 2070, 2413, 3423, 4488, 6135, 6403, 7634, 993, 2059, 2658, 4038, 4452, 5344, 6984, 7904, 936, 2059, 3056, 3605, 4244, 5423, 6828, 7467, 952, 2030, 2975, 4073, 4902, 6039, 6566, 7336, 789, 1939, 2473, 3932, 4246, 5565, 6258, 7427, 878, 2030, 2492, 3392, 4611, 6025, 6224, 7764, 256, 2030, 2587, 3874, 4423, 5492, 6859, 8061, 440, 1871, 2970, 3364, 4778, 5548, 6958, 8130, 256, 2030, 3026, 3886, 4512, 5472, 6909, 7574, 256, 1557, 2473, 3914, 4983, 6131, 6929, 8027, 901, 1600, 2473, 4168, 5073, 6204, 6810, 7965, 878, 2065, 2833, 3886, 5167, 5580, 7006, 7717, 391, 1820, 2654, 4076, 4617, 5296, 6386, 7985, 875, 1283, 2330, 3357, 4417, 6178, 7049, 8178, 739, 1472, 3126, 3751, 4800, 5826, 7096, 7442, 737, 1882, 2487, 3167, 4578, 5875, 7053, 8103, 462, 1942, 2241, 3980, 4929, 5302, 6693, 8149, 896, 1550, 2751, 3751, 4752, 5620, 6883, 8149, 399, 1820, 2717, 3329, 5031, 6220, 6273, 8006, 845, 1494, 3127, 3410, 4346, 5800, 6873, 8170, 986, 1548, 3029, 3570, 4539, 6213, 6550, 8033, 575, 1388, 2268, 4087, 5164, 5224, 6244, 7537, 504, 1815, 2327, 3623, 5052, 6002, 6850, 7510, 756, 1167, 2268, 3232, 4510, 5536, 6529, 7839, 225, 1593, 2332, 3196, 4881, 5704, 7165, 7275, 654, 1806, 2381, 3566, 4877, 5723, 6528, 8118, 654, 1684, 2991, 3391, 4459, 6137, 6966, 7677, 654, 1684, 2833, 4092, 4912, 5830, 7079, 7838, 228, 1570, 3144, 4113, 4423, 5534, 6895, 8130, 225, 1424, 2210, 3376, 4638, 5901, 6776, 7557, 256, 1623, 2359, 4113, 4307, 5520, 6612, 7906, 757, 1597, 2565, 4078, 5143, 5210, 6752, 8164, 878, 1597, 2791, 3361, 5120, 5360, 7207, 7476, 256, 2030, 3007, 4145, 4877, 5276, 6889, 8126, 789, 1525, 3095, 4145, 4890, 5296, 7207, 7715, 789, 1201, 2163, 3555, 5143, 6110, 6752, 8164, 440, 1847, 3147, 4005, 4536, 5844, 6579, 7868, 440, 1543, 2880, 4153, 5088, 6085, 7114, 7876, 518, 1345, 3007, 3786, 5134, 5515, 7114, 8179, 500, 1597, 2469, 3424, 4329, 6048, 6338, 7259, 489, 2073, 2340, 3856, 4337, 5951, 6291, 7483, 319, 1264, 2598, 4152, 4775, 5643, 6535, 8248, 1071, 1687, 2754, 4134, 4919, 5904, 6684, 7519, 277, 1582, 2748, 3979, 4924, 5707, 6249, 7479, 608, 2089, 2835, 3755, 4794, 5347, 7166, 7881, 83, 1469, 2793, 3517, 4672, 6107, 6926, 7809, 83, 1167, 2965, 3794, 4506, 6194, 7150, 7361, 887, 1469, 2313, 3264, 5114, 5358, 6456, 7584, 150, 1938, 3047, 3567, 4474, 5565, 6370, 8227, 150, 1440, 2939, 4088, 4404, 6056, 6264, 8019, 610, 2008, 2452, 3458, 4684, 5207, 6614, 7256, 725, 1469, 3085, 4153, 4196, 5444, 6923, 7936, 1101, 1318, 2707, 3997, 4319, 5618, 6224, 8184, 208, 2050, 2365, 3845, 4791, 5815, 6924, 7531, 1029, 1302, 2970, 3632, 5130, 5205, 6784, 8078, 235, 1778, 2414, 3974, 4387, 5850, 6829, 7859, 789, 1791, 3147, 3671, 4918, 5534, 6535, 8179, 789, 2030, 3070, 3929, 4276, 5788, 6443, 7887, 440, 1597, 3007, 3803, 5139, 5844, 6515, 7682, 475, 1992, 2328, 3291, 5106, 5276, 6584, 8130, 818, 2097, 2803, 3866, 5061, 5630, 6688, 8147, 935, 2017, 2746, 3710, 5061, 5630, 7168, 8237, 186, 2028, 3065, 4071, 4704, 5661, 7077, 7720, 914, 2028, 3065, 3909, 5038, 6182, 6786, 7557, 105, 1752, 2340, 3803, 5079, 5832, 6443, 7962, 276, 1851, 2976, 3662, 4419, 6011, 6969, 7919, 225, 1108, 2332, 3798, 5120, 5546, 6810, 7605, 859, 1623, 2761, 3348, 4630, 5630, 7118, 7962, 356, 2097, 2833, 3550, 5080, 5661, 6810, 7876, 160, 1248, 2941, 3253, 4717, 6149, 6302, 7494, 611, 1492, 2271, 3814, 4720, 6118, 6838, 7415, 249, 1282, 2242, 3726, 4568, 5620, 6614, 7503, 247, 1472, 2479, 3635, 4999, 5603, 6756, 7250, 492, 1708, 2953, 3309, 4604, 6083, 6565, 8140, 113, 1915, 3029, 3908, 5011, 5370, 6485, 7585, 1025, 2104, 2750, 3660, 4289, 5886, 6307, 7992, 826, 1255, 2492, 3793, 4536, 5204, 6802, 7973, 826, 1633, 2357, 3776, 4604, 6070, 7003, 8248, 610, 1771, 2678, 3975, 4335, 5548, 6646, 7555, 1056, 1978, 2716, 4031, 5110, 6120, 6849, 7846, 390, 1175, 3008, 4096, 5092, 5500, 7168, 7965, 541, 1918, 2440, 3746, 5150, 5421, 7102, 7795, 1057, 1455, 2142, 3788, 4441, 6113, 6431, 7582, 895, 1758, 2387, 3613, 5072, 6104, 6921, 7786, 547, 1758, 2282, 3714, 4441, 5980, 6251, 7962, 938, 1553, 2559, 4120, 5020, 5672, 6550, 8193, 1090, 1268, 2582, 3731, 4513, 5678, 6740, 7732, 610, 1809, 2750, 3918, 4179, 5289, 6830, 7658, 887, 1244, 3026, 3961, 4971, 5844, 6614, 8178, 807, 1758, 2678, 3963, 4727, 5944, 6456, 7936, 936, 1557, 2381, 3669, 5193, 5590, 6746, 8236, 936, 1826, 2710, 4083, 4562, 5600, 6456, 8193, 363, 1424, 2156, 3740, 5109, 5257, 7052, 7531, 150, 1154, 2183, 3743, 4534, 5792, 6525, 7941, 1029, 1421, 2881, 3911, 4620, 6028, 7164, 8046, 678, 1388, 2132, 3559, 5184, 6163, 6910, 7650, 512, 1306, 2775, 3413, 4318, 5797, 6813, 8245, 183, 2111, 2239, 3704, 4183, 5589, 6604, 8073, 225, 1597, 2175, 3560, 4896, 5913, 7237, 7476, 654, 1826, 2190, 4021, 4862, 5923, 7181, 7537, 228, 2108, 2156, 3770, 4859, 6107, 6810, 8130, 228, 1851, 2875, 3566, 5061, 5901, 7103, 7664, 228, 1826, 2473, 3623, 5167, 6160, 7091, 8093, 617, 1623, 2959, 3803, 5079, 5586, 7103, 8085, 510, 2111, 2560, 4125, 5120, 5840, 6889, 8069, 223, 1508, 2941, 3245, 4801, 5756, 6437, 8061, 1023, 1421, 2569, 3295, 4282, 5334, 6267, 7933, 363, 2036, 2410, 3755, 4288, 5929, 7001, 7904, 465, 2036, 2724, 3589, 4205, 6099, 7057, 7954, 887, 1388, 2693, 3430, 4691, 5540, 6724, 8259, 887, 1227, 2389, 3771, 5164, 5228, 6604, 8017, 887, 2053, 2741, 3430, 4727, 5965, 6870, 7736, 887, 1227, 2282, 3222, 4575, 5308, 7019, 7827, 104, 1633, 2261, 3605, 4690, 5904, 6242, 7437, 1025, 1146, 3033, 3578, 4229, 5315, 6567, 7799, 610, 1809, 2455, 3983, 5122, 6033, 6910, 8093, 887, 1120, 2352, 3233, 4439, 5746, 7006, 7948, 373, 1218, 3008, 4171, 4387, 5210, 6668, 7735, 1084, 2125, 2860, 3922, 4822, 6103, 6265, 7563, 113, 2063, 2515, 3998, 4890, 5503, 6739, 8128, 864, 1517, 2348, 3566, 4547, 6142, 6976, 7386, 1036, 1494, 2511, 3158, 5064, 6135, 6957, 7687, 491, 2009, 2848, 3229, 4321, 5658, 6832, 7276, 139, 2036, 2741, 3741, 4365, 5782, 6965, 7844, 113, 1826, 2400, 3778, 5070, 5584, 7229, 7611, 1022, 1380, 2163, 3704, 4364, 6116, 7153, 7986, 779, 1660, 2369, 3472, 4195, 6025, 6991, 7583, 308, 1851, 2167, 3664, 4834, 5981, 6961, 8188, 899, 1724, 2980, 3978, 5098, 5658, 7221, 8049, 440, 1918, 2965, 3413, 4506, 6032, 6614, 8258, 440, 2012, 2167, 4145, 4366, 5223, 6840, 8259, 708, 1833, 3147, 3758, 4553, 5810, 6500, 7462, 1102, 1963, 2941, 3188, 4881, 5534, 6343, 7641, 938, 1986, 2918, 4005, 4364, 5699, 6563, 8213, 776, 1139, 2941, 4151, 4780, 5804, 6757, 8016, 91, 1275, 2622, 3283, 4417, 5586, 7118, 8250, 91, 1577, 3092, 3413, 5169, 6171, 6775, 7979, 831, 1850, 2833, 3307, 5126, 5824, 6765, 8149, 1057, 1399, 3026, 3603, 5116, 5797, 6485, 7641, 807, 1865, 2891, 4074, 5092, 5464, 6284, 7862, 665, 1116, 2693, 3593, 4736, 5825, 6995, 7393, 569, 1918, 2506, 3669, 4845, 5413, 6795, 7410, 778, 2036, 2940, 3605, 4289, 5425, 6958, 8081, 831, 1850, 2348, 3298, 5000, 5970, 6596, 7965, 1025, 1182, 2598, 3771, 4792, 5749, 7158, 8107, 610, 1771, 2924, 4082, 5100, 5590, 7132, 7421, 887, 1771, 2678, 3206, 4343, 5883, 7069, 7918, 887, 1717, 3033, 4027, 5153, 5534, 6566, 7570, 779, 1330, 3095, 3886, 4872, 5687, 7084, 7557, 105, 1965, 2991, 3929, 4945, 5824, 6905, 7557, 127, 2002, 2725, 3986, 4615, 5684, 6348, 8206, 127, 2002, 2554, 3592, 5083, 5350, 7201, 7749, 195, 1826, 2918, 3662, 4236, 5733, 6296, 7966, 654, 1826, 3021, 4174, 5193, 5689, 7103, 8080, 654, 1345, 2775, 4125, 4852, 6110, 7090, 7927, 225, 2111, 2473, 3595, 5159, 5981, 6889, 7906, 228, 1283, 3048, 4153, 4859, 5515, 6889, 7476, 228, 1695, 2946, 3376, 4715, 5811, 6338, 7751, 518, 1826, 2875, 3931, 5077, 5413, 6724, 7557, 518, 1750, 3040, 3552, 4870, 6149, 7090, 7664, 256, 2127, 2725, 4113, 5166, 5811, 7069, 7664, 256, 1140, 2251, 3928, 4611, 5360, 7160, 7313, 105, 1961, 2554, 3394, 4918, 5942, 6579, 7563, 555, 2111, 2554, 4145, 5138, 5493, 6584, 7563, 488, 2111, 2833, 4071, 5079, 5534, 6612, 8118, 488, 2017, 2554, 3595, 5166, 5892, 7006, 8223, 488, 2017, 3065, 3825, 4624, 6139, 7226, 8223, 488, 2017, 2914, 4071, 4624, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 6139, 6794, 8196, 1099, 2068, 2991, 3866, 4980, 6103, 6996, 7876, 484, 2017, 2324, 4152, 5166, 5963, 7006, 7631, 142, 1622, 2914, 3825, 4704, 6186, 7226, 8147, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1622, 2914, 3367, 4798, 6186, 7226, 7766, 142, 1528, 2164, 3825, 4798, 6186, 6794, 8196, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 76, 26, 52, 5, 31, 16, 5, 65, 45, 62, 5, 76, 11, 78, 5, 44, 54, 5, 64, 26, 66, 5, 5, 5, 65, 48, 5, 64, 66, 45, 63, 30, 5, 66, 73, 5, 31, 16, 5, 76, 33, 64, 66, 54, 35, 67, 33, 66, 64, 76, 16, 28, 16, 52, 3, 860, 2017, 2914, 3825, 4704, 5901, 6752, 8147, 488, 2017, 2914, 3893, 4624, 6139, 7124, 8147, 488, 1648, 2806, 3893, 4624, 6139, 7226, 7715, 915, 1528, 3065, 4113, 4798, 6129, 6996, 7557, 304, 1560, 3043, 3928, 4801, 6131, 6677, 8179, 1066, 1385, 2655, 3700, 4778, 5398, 7149, 7634, 249, 1898, 2165, 3504, 4575, 5729, 6906, 7701, 584, 1865, 2850, 3307, 5134, 5632, 6264, 8108, 584, 1865, 3020, 4099, 4415, 5894, 6316, 8143, 835, 1375, 2742, 3281, 4855, 5415, 6568, 7966, 161, 1728, 2564, 3605, 4995, 5794, 6940, 7837, 774, 1708, 2979, 3219, 4288, 5595, 6346, 7771, 774, 1708, 2850, 3751, 4290, 5723, 6755, 7667, 774, 1880, 2689, 3991, 5049, 5249, 7041, 7461, 655, 1766, 2986, 3421, 4600, 5443, 6234, 7516, 655, 1766, 2889, 3286, 4579, 5894, 6224, 8165, 271, 1843, 2173, 3169, 4995, 5764, 6744, 7930, 1008, 1707, 2260, 3736, 4324, 5615, 6666, 7905, 386, 2067, 2260, 4107, 4358, 5542, 7126, 7737, 887, 1594, 2785, 4125, 4760, 5443, 6825, 7488, 779, 1986, 2678, 3169, 5111, 6187, 6603, 7563, 610, 1833, 2688, 3259, 4688, 5761, 6426, 7812, 887, 1490, 2847, 3165, 4337, 5266, 6413, 7547, 988, 1507, 2868, 4079, 4444, 6050, 6651, 7660, 492, 1808, 3055, 3437, 4259, 5397, 6881, 7254, 880, 1942, 3097, 3306, 4236, 5454, 7033, 7606, 952, 1695, 3046, 4096, 4509, 5574, 6663, 7848, 518, 1695, 2349, 3159, 5125, 6187, 6578, 7515, 225, 1958, 2181, 3838, 5142, 5234, 6736, 7527, 568, 1706, 2468, 3407, 5142, 5755, 6749, 7641, 225, 1452, 2718, 3516, 4993, 5963, 6889, 8126, 225, 1347, 2617, 3955, 4214, 5579, 6909, 7513, 568, 1112, 2858, 3937, 5120, 5998, 6579, 7732, 568, 1633, 2858, 3827, 4863, 5677, 7160, 7868, 568, 2034, 2468, 3879, 5120, 5901, 7160, 8213, 617, 1623, 2542, 4083, 4399, 6149, 6444, 8130, 356, 1804, 2352, 4108, 4966, 6149, 6338, 8066, 271, 1113, 2608, 3955, 4762, 5708, 6830, 7659, 664, 1541, 2958, 3751, 4385, 5339, 7183, 7918, 846, 1189, 2987, 4076, 4843, 6135, 6520, 7796, 547, 1960, 2188, 3165, 4620, 6163, 6870, 8104, 1047, 1415, 2740, 3582, 4561, 5977, 6256, 7387, 1099, 1534, 3128, 3891, 4622, 6123, 6302, 8215, 1097, 1992, 2946, 3945, 4912, 6175, 6979, 8016, 186, 1175, 3110, 3710, 4888, 5761, 6709, 8107, 510, 1992, 3006, 3516, 5106, 6175, 7218, 7421, 935, 1705, 2989, 4150, 4980, 6195, 6988, 8179, 935, 1804, 2880, 4071, 4870, 6195, 6979, 8195, 427, 1871, 2960, 4150, 4980, 5832, 7077, 8179, 579, 1810, 2326, 4154, 5066, 5494, 7114, 7920, 216, 1545, 3060, 3504, 4713, 5678, 6840, 7924, 938, 1356, 2655, 3602, 5030, 5910, 7143, 7355, 1009, 1937, 2266, 3427, 5017, 6098, 6611, 7709, 862, 1157, 2256, 3623, 4849, 6215, 7165, 7877, 862, 1281, 2875, 3233, 5124, 5538, 6328, 7704, 448, 1828, 2987, 4162, 4983, 5386, 6830, 8254, 987, 1762, 2867, 3323, 4755, 5374, 7028, 8028, 1014, 1509, 2529, 3740, 4934, 5859, 6354, 7953, 225, 1499, 2870, 3886, 5127, 5827, 6979, 7677, 576, 1139, 2933, 3753, 4297, 5531, 6924, 7706, 115, 1210, 2244, 3909, 4834, 6118, 6646, 7913, 1080, 1794, 2693, 3973, 4586, 5586, 6820, 7469, 862, 1164, 3073, 4078, 4813, 6142, 6345, 7423, 1009, 1971, 2332, 3576, 4459, 6096, 6869, 7686, 1009, 1281, 2415, 3475, 4811, 5603, 6813, 7442, 938, 1326, 2710, 3469, 5138, 5320, 6625, 7602, 938, 1566, 2156, 4128, 4861, 5615, 6334, 7980, 304, 1252, 2855, 3434, 4537, 5344, 6535, 8048, 767, 1886, 3085, 4120, 4920, 5843, 7143, 8240, 970, 1531, 2375, 3384, 5134, 5481, 6774, 7791, 504, 1234, 3020, 3233, 5117, 5236, 7154, 7313, 840, 1141, 3119, 3605, 4791, 5824, 6463, 7936, 271, 2024, 3020, 3991, 4941, 5974, 7149, 8028, 715, 2033, 2340, 4073, 4635, 5894, 6900, 8179, 240, 1945, 2473, 3886, 4529, 5899, 6939, 8262, 654, 1597, 2654, 3188, 4398, 5413, 6466, 8236, 654, 2030, 2833, 4145, 5138, 5899, 6840, 8132, 518, 1851, 2565, 3623, 4916, 5438, 7012, 8118, 518, 1961, 2943, 3930, 5127, 5981, 7069, 8080, 518, 1961, 2554, 3470, 4715, 6157, 6485, 8179, 256, 1826, 2654, 3597, 4918, 5223, 6772, 7557, 216, 1826, 2791, 3776, 4334, 5514, 7241, 7437, 640, 1303, 2429, 3187, 4818, 5857, 6226, 7994, 875, 1249, 3148, 3399, 4723, 5624, 6262, 7808, 966, 1609, 3091, 3585, 4675, 6154, 6879, 7487, 428, 1529, 3091, 3653, 4943, 6099, 6682, 7904, 581, 1529, 3029, 3380, 4220, 6154, 6626, 7955, 302, 1397, 3091, 3696, 5163, 6207, 6372, 7333, 774, 1349, 3047, 4087, 4758, 5745, 6449, 7858, 491, 1290, 2355, 3331, 4812, 5914, 6626, 7636, 495, 2053, 2751, 4037, 5124, 6005, 6393, 7578, 807, 1773, 2818, 3276, 4800, 5720, 6923, 8071, 487, 1324, 2601, 3882, 4604, 5313, 6883, 7291, 103, 1363, 3038, 3634, 4323, 5548, 6613, 7904, 984, 2068, 2729, 3980, 4782, 5694, 6302, 8093, 984, 1876, 3140, 3374, 4630, 5983, 7023, 7948, 757, 1974, 2834, 4135, 4584, 5625, 6649, 7627, 183, 1112, 2754, 3754, 5166, 5953, 6354, 7504, 859, 1147, 3135, 3994, 4870, 6175, 7102, 7876, 488, 1992, 3021, 3803, 4387, 6085, 7010, 7782, 818, 1998, 3021, 4174, 5080, 6051, 7201, 7876, 818, 1218, 2781, 4145, 5058, 5630, 7152, 8237, 186, 1147, 2970, 4071, 4985, 6129, 7090, 7876, 555, 1623, 3021, 3803, 4870, 5550, 6996, 8223, 859, 1695, 2781, 4171, 4549, 5436, 7207, 8076, 859, 1490, 3064, 3931, 4681, 6149, 7091, 8066, 105, 2106, 2833, 3550, 4214, 5436, 6717, 7865, 105, 1496, 2971, 3827, 4344, 5521, 6579, 7706, 105, 2111, 2941, 3827, 4696, 6101, 7232, 7602, 617, 1695, 3046, 3570, 5053, 5981, 7077, 8036, 105, 1684, 3147, 3550, 4681, 5580, 7160, 8185, 859, 1684, 2542, 3570, 4512, 5981, 7091, 8236, 617, 1750, 2858, 4096, 4387, 6149, 7090, 8164, 617, 1684, 2370, 4096, 4512, 5892, 6466, 7732, 617, 1695, 2729, 4149, 4622, 5534, 6579, 7563, 105, 2106, 2251, 3555, 4790, 6137, 6900, 8261, 859, 2065, 2709, 3550, 4512, 5963, 6562, 7887, 859, 1695, 3062, 3550, 5088, 5942, 6901, 8061, 859, 1684, 2340, 3374, 4535, 5901, 6466, 7476, 555, 1623, 2833, 4068, 4681, 6149, 7091, 8261, 555, 1684, 3064, 3374, 5157, 5767, 6604, 7563, 555, 1684, 2970, 3873, 5159, 5219, 6752, 7865, 818, 1648, 3117, 3367, 4870, 6139, 7120, 8237, 860, 1528, 2806, 3825, 4704, 5901, 6996, 8223, 142, 2017, 2806, 3893, 4704, 6186, 7226, 8223, 142, 1528, 2806, 3893, 4798, 6186, 6794, 8223, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 617, 2127, 2709, 3374, 4918, 5493, 7077, 7476, 118, 1958, 3068, 4106, 4307, 6149, 6515, 7732, 568, 1695, 2282, 4111, 4541, 5438, 7133, 7743, 568, 1525, 2775, 3550, 5142, 5837, 7120, 8126, 568, 1623, 2454, 4111, 4236, 5223, 6540, 7782, 183, 1623, 2287, 3879, 4927, 5831, 6967, 7906, 955, 1400, 2839, 3879, 4589, 5677, 6668, 8237, 204, 1206, 3061, 3860, 4350, 6160, 7007, 8262, 441, 1674, 2990, 3601, 5026, 5764, 6345, 8149, 962, 1674, 2222, 3674, 5043, 5971, 6889, 7740, 902, 1829, 2282, 3375, 4717, 5926, 6466, 7955, 902, 1674, 2544, 4096, 4399, 5863, 6453, 7786, 986, 1545, 2311, 3440, 4289, 5706, 6731, 8131, 987, 1640, 2646, 3933, 4337, 6066, 6592, 7442, 1059, 1668, 2740, 3464, 4727, 5585, 6588, 8163, 576, 1281, 2801, 3703, 4935, 5719, 6701, 7811, 654, 1372, 2468, 3164, 5135, 5792, 6649, 8172, 654, 1372, 2315, 3838, 4412, 5580, 7157, 7856, 195, 1471, 2562, 3631, 4983, 6175, 6829, 7693, 195, 1471, 2595, 3277, 5160, 5579, 6740, 8164, 654, 1564, 2946, 3891, 4398, 5890, 7218, 7303, 240, 2127, 2833, 3413, 4859, 5892, 6810, 7716, 240, 1750, 2880, 3827, 4549, 5514, 7232, 7643, 789, 1853, 3064, 4092, 4888, 5549, 6889, 8093, 915, 1528, 2806, 3407, 4681, 5892, 7207, 7303, 419, 1528, 3065, 3893, 4798, 5413, 6604, 7303, 195, 1289, 2970, 4106, 4423, 5730, 6677, 7717, 1020, 1755, 2780, 3206, 4895, 6166, 7207, 8237, 391, 1695, 3053, 4078, 4329, 5873, 7237, 8143, 402, 1640, 2242, 3508, 5169, 5796, 6687, 7772, 582, 1545, 2355, 3159, 4443, 5603, 6730, 7657, 234, 1286, 2292, 3894, 4556, 5224, 6571, 8056, 545, 1178, 2703, 4096, 4224, 5633, 6840, 8048, 722, 1164, 2167, 3464, 5000, 5970, 6923, 8242, 653, 2095, 2440, 4162, 4711, 5413, 7043, 7873, 487, 1315, 2777, 4094, 4748, 5930, 6422, 8193, 938, 1411, 2867, 3995, 4606, 6065, 6526, 7713, 1024, 1231, 2717, 3570, 4877, 6222, 6573, 7841, 547, 1118, 2934, 3767, 5179, 5455, 6734, 8036, 864, 1411, 2826, 3227, 5145, 5425, 6452, 8061, 1024, 1239, 2658, 3393, 4510, 5639, 6984, 7313, 1022, 1118, 3037, 3292, 5134, 5425, 6984, 7422, 961, 1333, 2402, 3922, 4598, 5677, 6771, 8205, 767, 1545, 2891, 4137, 4757, 5677, 6265, 7857, 304, 2024, 2918, 4153, 5106, 5641, 6612, 7485, 308, 1637, 3110, 3645, 4379, 5250, 6752, 7349, 512, 1773, 2989, 3886, 5058, 6085, 7084, 7260, 308, 1874, 3006, 3226, 4287, 6175, 6988, 7485, 510, 1847, 2730, 3226, 5159, 5883, 7111, 7876, 818, 1874, 3110, 3226, 4287, 5661, 7111, 8185, 143, 1600, 3147, 3516, 4437, 5821, 6520, 7887, 334, 1426, 2519, 3555, 4716, 5381, 6856, 7831, 757, 1695, 3059, 3967, 5088, 6048, 6584, 7838, 1091, 1797, 2210, 3955, 5115, 5608, 6938, 7844, 318, 1424, 2638, 3754, 4841, 5677, 7215, 7948, 386, 1510, 2249, 3941, 4978, 6160, 6313, 7756, 781, 1858, 2629, 4155, 4773, 5793, 7078, 8125, 864, 1509, 2242, 3410, 4237, 5825, 6334, 7494, 1011, 1682, 2750, 3372, 4427, 5844, 7139, 7829, 959, 1777, 2163, 3552, 5091, 5646, 6715, 7816, 401, 1759, 3062, 3901, 4589, 5318, 6516, 7778, 304, 1237, 2803, 3564, 4353, 5677, 6852, 7442, 756, 1998, 2785, 3348, 4426, 5737, 7162, 7908, 643, 1563, 2483, 3488, 4510, 5519, 7126, 7868, 1009, 1199, 2710, 3372, 5072, 5935, 6703, 8222, 266, 1633, 2137, 3975, 4396, 5827, 7022, 7487, 150, 1778, 2137, 3974, 4492, 6149, 6884, 7768, 643, 1982, 2529, 3729, 5079, 5551, 6465, 8064, 1081, 1721, 2965, 3743, 5079, 6149, 6682, 8055, 610, 2100, 2357, 3390, 4337, 6014, 6755, 7807, 610, 2035, 3145, 3769, 4762, 5983, 7154, 8260, 211, 1915, 2730, 3206, 5183, 6129, 6515, 7806, 1025, 1867, 2880, 3201, 4633, 6141, 7201, 7421, 940, 1919, 2586, 3982, 5145, 5788, 6972, 7753, 643, 1318, 2866, 4006, 4870, 5687, 6404, 7816, 271, 1405, 2321, 3361, 4691, 6023, 6384, 8079, 728, 1199, 2655, 3963, 5164, 5929, 6926, 7699, 774, 1531, 2633, 3596, 4650, 5262, 6705, 7964, 1041, 1278, 2953, 3306, 4493, 5423, 6632, 7478, 271, 2118, 2882, 3924, 4952, 6184, 6978, 7396, 1066, 2067, 2871, 4130, 4269, 5792, 7102, 8112, 1062, 1707, 2755, 3577, 4747, 5430, 6889, 7456, 857, 1523, 2360, 3880, 4896, 5844, 6889, 7973, 225, 1606, 2924, 3413, 4467, 5216, 6348, 7825, 654, 2002, 2473, 3815, 4580, 5924, 6579, 8093, 654, 2106, 2683, 3374, 4675, 6146, 7090, 8130, 518, 1756, 2190, 3891, 4329, 6065, 6985, 7427, 654, 1750, 2729, 3407, 4522, 5672, 6529, 7402, 240, 1606, 2806, 4168, 4888, 6175, 7120, 8130, 240, 1961, 3059, 3723, 4642, 6110, 7160, 7707, 789, 1237, 2278, 3550, 5031, 5218, 6612, 7831, 789, 1750, 2669, 3364, 4704, 5241, 7043, 7563, 488, 1528, 2669, 3364, 4877, 5241, 6515, 7716, 818, 1961, 3117, 3914, 4912, 5241, 6794, 8147, 915, 1961, 2806, 3914, 4888, 5892, 6752, 8196, 571, 2073, 2912, 4145, 5061, 5730, 7111, 7948, 955, 1827, 3064, 4171, 5061, 6051, 6996, 7570, 731, 1944, 3053, 4027, 4895, 5705, 7047, 7965, 160, 1915, 3007, 3454, 5019, 6103, 6830, 7865, 223, 1594, 3033, 3878, 5153, 5749, 6646, 8185, 887, 1717, 3003, 3369, 4586, 5500, 6736, 7677, 1101, 1255, 2915, 3264, 4444, 5413, 6614, 7497, 784, 1261, 2422, 3167, 4943, 5825, 6295, 7996, 266, 1838, 2540, 3610, 4960, 5787, 7157, 7490, 386, 2050, 2911, 3685, 4431, 5946, 6835, 7974, 504, 2050, 3126, 3674, 4809, 5572, 6755, 7727, 917, 1167, 2308, 3779, 5005, 5880, 7094, 7632, 504, 1271, 2137, 3175, 4616, 6065, 6620, 8060, 643, 1538, 2636, 3557, 5138, 5437, 6850, 7677, 150, 2035, 2671, 3509, 5193, 5280, 6953, 7438, 770, 1818, 2189, 3602, 4859, 6006, 6393, 7894, 678, 1402, 2981, 3175, 4931, 5550, 6515, 7768, 1081, 1316, 2493, 3540, 4588, 5661, 6467, 7811, 940, 1499, 2985, 3983, 4447, 5833, 7111, 7776, 419, 1945, 3046, 3866, 4700, 6051, 7203, 7557, 967, 1923, 2803, 4006, 4918, 5296, 6540, 7768, 757, 1923, 2991, 3710, 4762, 5521, 7114, 7631, 1015, 1752, 3006, 3838, 4881, 5630, 6884, 7563, 337, 2088, 2975, 3998, 4792, 6205, 6774, 7480, 818, 1467, 3007, 4105, 5166, 6182, 6996, 7458, 804, 2068, 2957, 3188, 5060, 5635, 6613, 7948, 390, 1370, 2991, 3885, 4912, 5340, 6588, 7876, 610, 1499, 2783, 3240, 5104, 5385, 6540, 7806, 424, 1675, 3109, 3803, 4589, 5776, 6467, 7908, 1090, 1919, 3073, 4151, 4700, 6014, 6588, 8112, 1025, 1567, 2998, 4128, 4635, 5495, 6510, 7830, 993, 1838, 2435, 3890, 4691, 5600, 6998, 7706, 994, 1786, 2750, 3727, 5144, 5557, 6301, 8197, 994, 1531, 2348, 3261, 4689, 5549, 7002, 7533, 730, 1510, 2587, 3394, 4620, 5497, 6626, 7657, 730, 1286, 2629, 3394, 5134, 6002, 6857, 8253, 585, 1704, 2162, 4025, 5165, 6077, 6951, 8132, 1038, 1570, 2279, 3332, 4999, 5606, 7033, 7611, 678, 1614, 2487, 3332, 4268, 5273, 6469, 7252, 951, 1560, 3001, 3332, 4365, 5767, 6708, 7831, 789, 1411, 2944, 4083, 5165, 6097, 6265, 8209, 859, 1945, 2960, 3570, 5138, 6163, 7149, 7477, 183, 2111, 3000, 3838, 4622, 6061, 7222, 7574, 225, 1424, 2833, 4149, 5053, 5586, 6915, 8261, 225, 2111, 2791, 3645, 5079, 5767, 6430, 8102, 228, 2002, 3139, 3803, 4580, 6147, 6615, 7715, 228, 2111, 2172, 3363, 4862, 5283, 6755, 8187, 228, 2111, 3099, 3391, 4775, 5767, 7129, 7485, 240, 2061, 3133, 3596, 5168, 5493, 7091, 7906, 240, 1575, 2554, 3674, 4549, 5519, 6677, 8126, 488, 1851, 2669, 4174, 5168, 6205, 7077, 7303, 488, 1961, 2729, 4071, 4583, 5241, 7077, 7865, 488, 1528, 3117, 3595, 4583, 6186, 6291, 7303, 915, 2017, 2164, 3595, 4798, 5635, 6996, 8147, 789, 1756, 2164, 4026, 5159, 5963, 6338, 7716, 225, 1858, 2332, 3487, 5157, 5767, 7019, 7865, 105, 1210, 2487, 3592, 4890, 5963, 7069, 7563, 186, 1684, 2554, 3914, 5159, 5438, 7090, 8147, 488, 1623, 2729, 3277, 4583, 5901, 7226, 8147, 860, 1528, 2806, 3825, 4624, 6139, 6794, 8147, 201, 1622, 2806, 3825, 4624, 6139, 7124, 8147, 201, 1528, 2164, 3893, 4624, 6139, 7077, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7077, 7766, 142, 1528, 2914, 3825, 4798, 6186, 7124, 8223, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 6794, 8196, 142, 1528, 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, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 142, 1622, 2914, 3367, 4624, 6186, 7226, 8223, 4, 2 ]

[ 1, 64, 17, 30, 16, 54, 52, 47, 5, 17, 66, 35, 30, 5, 16, 5, 52, 20, 55, 30, 20, 63, 54, 5, 76, 45, 64, 16, 52, 5, 5, 3, 935, 2098, 2946, 4121, 4611, 5678, 6717, 7920, 225, 1286, 3150, 3746, 4902, 5514, 7069, 7485, 654, 2106, 2833, 3796, 4902, 6110, 6895, 7906, 654, 1826, 2839, 3754, 4638, 5413, 6988, 7509, 195, 2058, 2156, 4153, 5088, 6175, 6701, 7476, 654, 1452, 2359, 4153, 4329, 5223, 7207, 8252, 518, 2064, 2565, 3470, 5053, 5624, 6810, 7262, 356, 1827, 2469, 3376, 4409, 5730, 6749, 8040, 957, 2088, 2856, 3191, 4611, 5510, 7089, 8252, 270, 1346, 3049, 3709, 4413, 5553, 6906, 7402, 736, 1962, 2282, 3434, 5103, 6010, 7188, 7287, 902, 1479, 3150, 3291, 4927, 5471, 6541, 7582, 537, 2088, 3097, 4119, 5124, 5951, 6588, 7260, 1099, 1981, 2695, 3866, 5166, 6129, 6630, 8126, 512, 1499, 2708, 3645, 4981, 5534, 7058, 7895, 684, 1981, 2695, 4068, 4912, 6129, 6968, 8080, 512, 1675, 2730, 3961, 4822, 6085, 7201, 7631, 304, 1750, 3007, 3982, 4558, 6131, 7111, 7838, 401, 1705, 3064, 3945, 4276, 6103, 6566, 7485, 223, 1141, 3064, 4168, 4980, 6014, 6648, 8076, 685, 1498, 2309, 3380, 5032, 5721, 6677, 7341, 676, 2059, 2789, 3515, 4383, 5212, 6257, 7996, 511, 1972, 2482, 3974, 4602, 5483, 7126, 7798, 262, 2050, 2918, 3427, 4279, 5649, 7037, 7598, 1067, 1788, 2274, 3600, 5122, 5930, 6309, 7879, 692, 1446, 2506, 3918, 4573, 5203, 7114, 7649, 1011, 2066, 2293, 3154, 4983, 5643, 6573, 7473, 938, 1566, 2832, 3231, 4879, 6125, 6870, 7966, 862, 1164, 2455, 3623, 4593, 5578, 6307, 7429, 545, 1688, 2327, 3172, 4927, 5579, 6512, 8211, 314, 1550, 2693, 3475, 5050, 5770, 6789, 8132, 643, 1674, 2629, 3537, 4539, 5430, 6762, 8109, 504, 1674, 3141, 3922, 5103, 5797, 6905, 8187, 678, 1336, 2422, 4089, 4644, 5730, 6704, 7843, 940, 2024, 2875, 3662, 4556, 5689, 6437, 8266, 935, 1600, 3144, 3550, 4630, 6137, 7095, 7677, 1051, 1845, 2953, 3470, 4782, 5823, 7160, 7260, 1094, 1349, 3040, 3177, 4981, 5521, 6850, 7958, 161, 1740, 2844, 4128, 4943, 5397, 6748, 7958, 611, 1615, 2455, 3599, 4462, 5251, 6390, 7724, 775, 1503, 2559, 3237, 4720, 5518, 6396, 7360, 360, 1585, 3103, 3525, 5036, 5787, 7015, 7298, 900, 1759, 3040, 3197, 4755, 5876, 6304, 7970, 840, 1490, 3040, 4165, 4217, 5224, 6533, 8255, 895, 1777, 2869, 3554, 4294, 6050, 6493, 7746, 216, 1534, 2792, 4011, 4654, 5316, 6612, 7974, 899, 1724, 2775, 3750, 4611, 5500, 6612, 7971, 489, 1561, 2627, 3603, 4601, 5702, 6412, 8243, 757, 1116, 3101, 3277, 5079, 5436, 6895, 8169, 868, 1286, 2973, 3261, 4453, 5503, 6423, 7754, 1033, 1644, 2918, 3928, 4944, 6120, 7171, 8041, 536, 1459, 2444, 3799, 4664, 5482, 7001, 8149, 840, 1858, 2529, 3669, 4804, 5660, 7091, 8218, 884, 1758, 2529, 3484, 4270, 6101, 6889, 8109, 386, 1758, 2791, 3989, 4235, 5393, 6397, 7264, 266, 1758, 2529, 4038, 4530, 5323, 7195, 7678, 386, 1758, 2900, 3770, 4804, 5350, 7237, 7468, 1029, 1317, 3104, 3543, 4818, 5283, 6224, 8182, 150, 2059, 2807, 3597, 4360, 6086, 6724, 8088, 1029, 1586, 3085, 4103, 4344, 5287, 6889, 7277, 150, 1586, 2727, 3928, 4496, 5485, 6923, 7481, 1025, 2106, 2918, 3889, 5129, 6200, 6988, 7415, 405, 1794, 3021, 3226, 4833, 5963, 7179, 8093, 804, 1682, 2839, 3803, 5159, 5767, 6630, 8154, 684, 1370, 2803, 3188, 5159, 5944, 6668, 8083, 804, 1804, 2803, 3253, 5038, 6051, 6668, 7631, 725, 1174, 3124, 3642, 4841, 5386, 6477, 7627, 150, 1938, 2836, 3922, 5167, 6119, 7137, 7873, 643, 1938, 2547, 3945, 4686, 5221, 6770, 7336, 401, 1271, 2871, 3839, 4423, 5890, 6251, 8168, 956, 2068, 3032, 3645, 4828, 5573, 7239, 8126, 488, 1945, 2781, 3645, 5104, 5883, 7077, 7949, 488, 1528, 3043, 3891, 4822, 5661, 7132, 8147, 488, 2017, 2781, 4115, 4704, 5635, 7124, 8066, 935, 2017, 2746, 3893, 4583, 5705, 7077, 7723, 555, 2111, 3143, 3891, 4888, 5534, 7239, 7876, 552, 1345, 2959, 4006, 4954, 5677, 7006, 7485, 617, 1345, 2709, 3277, 4615, 5677, 6677, 7677, 552, 1345, 3133, 3277, 4651, 5573, 6752, 8085, 617, 1345, 2729, 3550, 5138, 5241, 7103, 7846, 859, 1332, 2554, 3873, 4877, 5901, 7218, 8147, 915, 1648, 2806, 3914, 4870, 5241, 6677, 7677, 555, 2111, 3143, 3827, 4888, 5550, 7077, 7485, 186, 2017, 2833, 3825, 5060, 5892, 6794, 8196, 186, 2017, 3143, 3891, 4624, 5901, 6589, 8196, 488, 2032, 2806, 4068, 4704, 6139, 6996, 8223, 142, 1528, 2806, 3825, 4704, 6186, 6794, 8196, 488, 2017, 3065, 3893, 4624, 5635, 6794, 8196, 488, 1528, 2164, 3893, 4366, 5241, 7124, 8223, 132, 1560, 3144, 4171, 4980, 5493, 6786, 8066, 640, 1926, 2494, 3894, 4281, 6141, 7186, 8262, 502, 1548, 2173, 4032, 4232, 6090, 6453, 8139, 247, 1926, 2623, 3828, 4661, 5775, 6225, 7930, 492, 1338, 2461, 3778, 4274, 6090, 7053, 7886, 104, 2089, 2301, 3276, 4242, 5636, 6631, 8197, 104, 1440, 2232, 3276, 4303, 5710, 7094, 8123, 752, 1873, 3040, 3773, 5175, 5890, 6929, 8188, 776, 1753, 2444, 3713, 5135, 5905, 7230, 7629, 891, 1591, 2697, 3374, 4559, 6146, 6912, 7476, 887, 1897, 3040, 3767, 4343, 5865, 6566, 7985, 160, 2079, 2869, 3381, 4379, 5904, 6518, 8054, 610, 1572, 2263, 3595, 5135, 5819, 7204, 7256, 1033, 1889, 2307, 3734, 4439, 5746, 7007, 8209, 104, 1146, 2469, 3858, 4653, 5421, 6237, 7954, 113, 1753, 2482, 3713, 4307, 5558, 6681, 7256, 993, 2070, 2130, 3448, 5067, 5801, 6981, 8261, 154, 2035, 2894, 3978, 4364, 5341, 7238, 7274, 123, 2050, 2248, 3411, 4274, 5454, 6694, 7999, 83, 2050, 2819, 4128, 4274, 5867, 6664, 7679, 736, 1630, 2173, 3567, 4946, 5564, 6466, 7712, 1067, 1592, 2173, 4057, 4865, 5991, 6922, 7793, 271, 2120, 2541, 3474, 4310, 5585, 7047, 7672, 895, 1805, 2743, 3908, 4907, 5852, 6287, 7721, 150, 2050, 3011, 3156, 4487, 5564, 7190, 7827, 763, 1302, 2373, 3309, 5008, 5494, 6614, 7950, 725, 1908, 2152, 3934, 4196, 5944, 6651, 7378, 150, 1316, 2266, 3934, 4588, 5806, 7073, 7565, 271, 1183, 2755, 4016, 5027, 5836, 7221, 7250, 150, 1387, 2321, 3358, 4722, 5327, 6870, 7892, 643, 1529, 2956, 3560, 4545, 5451, 6940, 7831, 1081, 1499, 2392, 3917, 4781, 5479, 7174, 7718, 271, 2035, 2534, 3388, 4536, 6136, 6688, 7383, 150, 1717, 2887, 3361, 5183, 5811, 6776, 7816, 1029, 1935, 2292, 3361, 4713, 5352, 6677, 7641, 887, 1755, 2945, 3771, 5169, 5819, 6302, 7895, 1025, 1692, 2636, 4150, 5088, 6175, 6771, 7831, 1025, 1494, 2798, 3892, 4529, 5565, 7162, 7473, 1090, 1797, 2444, 3516, 5085, 5219, 6774, 7957, 804, 1577, 2838, 3932, 4888, 5904, 6515, 7485, 914, 2041, 2254, 3671, 4925, 5241, 6467, 7421, 684, 2111, 2932, 3842, 4215, 5340, 7162, 8085, 355, 1918, 2709, 3838, 4881, 5694, 6898, 8134, 421, 1689, 2779, 3710, 5036, 5599, 6466, 8057, 568, 1735, 2801, 3870, 4945, 5684, 7030, 8262, 1102, 1570, 2293, 3350, 4592, 5389, 7229, 7903, 373, 1930, 3092, 3771, 4430, 5918, 6775, 8047, 1008, 1499, 2878, 3385, 4308, 5824, 6235, 8064, 83, 1754, 2847, 3850, 4701, 5582, 7187, 7866, 83, 1571, 2128, 3560, 4803, 5715, 6438, 7545, 888, 2070, 2661, 3560, 4531, 5405, 6904, 7832, 1008, 1669, 2968, 3973, 4591, 6215, 6966, 8249, 738, 1902, 2399, 3752, 4946, 5255, 6664, 7293, 150, 1902, 2882, 3254, 4793, 5835, 6681, 7954, 150, 1418, 2571, 4034, 4310, 6121, 7056, 7953, 873, 1630, 3090, 3598, 4409, 6070, 6888, 8129, 826, 1348, 3015, 4128, 4706, 5686, 6287, 7590, 1067, 1535, 2455, 3760, 4310, 5408, 7035, 7906, 1067, 1641, 2689, 3486, 5035, 5371, 6422, 7721, 271, 1833, 2956, 3382, 4387, 6063, 7003, 7808, 678, 1370, 2708, 3495, 4487, 6211, 6719, 7850, 1081, 1939, 3020, 3357, 4592, 5907, 7096, 7264, 211, 1999, 2444, 3766, 4771, 5210, 6972, 7641, 1025, 1773, 2991, 3909, 4385, 5219, 6776, 7811, 1025, 1773, 2980, 3975, 4212, 6131, 7221, 7908, 1025, 1773, 2803, 3975, 4589, 6195, 7047, 7948, 643, 1296, 2556, 3370, 4714, 6128, 7069, 8172, 1025, 1867, 2679, 4143, 4822, 5705, 6719, 7959, 684, 2064, 2895, 3932, 4447, 6146, 6265, 7838, 1090, 1660, 2340, 4028, 5104, 6051, 6633, 8093, 610, 1945, 2381, 4115, 5106, 6171, 6589, 7290, 887, 1600, 2936, 3639, 4559, 5702, 7069, 7458, 536, 1608, 3092, 3741, 4379, 5634, 6518, 8036, 786, 1463, 2207, 3273, 4603, 5512, 7020, 7804, 988, 1541, 2436, 3741, 4705, 5602, 6746, 7639, 326, 1636, 3089, 4073, 4954, 5663, 6578, 7943, 518, 1938, 2555, 3602, 4530, 5795, 6649, 7428, 195, 1311, 2675, 3755, 5128, 6195, 6701, 7873, 654, 1938, 2221, 4030, 4638, 5705, 7100, 7574, 654, 2111, 2992, 3394, 5159, 5534, 6607, 8267, 228, 1851, 2221, 3359, 4288, 6103, 6604, 7355, 654, 1326, 2370, 3225, 5052, 6007, 7024, 7726, 228, 1998, 2659, 3555, 5159, 6135, 7218, 7865, 617, 2078, 2987, 4092, 4859, 5436, 6607, 7563, 552, 2073, 2718, 3391, 4179, 5719, 6889, 8266, 948, 1407, 2868, 4037, 5115, 5681, 6755, 8193, 1025, 1523, 2667, 3790, 4708, 6024, 6511, 7707, 1001, 1146, 2137, 3560, 5196, 5492, 6838, 7768, 1008, 1468, 2373, 3475, 4722, 5272, 6675, 7622, 864, 1469, 2242, 3760, 4688, 6017, 7202, 8139, 1024, 1469, 2144, 3485, 5130, 5291, 6573, 7449, 970, 1469, 2236, 3939, 4511, 6171, 7209, 7962, 1011, 1469, 3126, 3176, 5094, 5584, 6820, 7415, 970, 1469, 2992, 3894, 4221, 5929, 6711, 8239, 970, 1461, 2143, 3717, 4643, 5577, 6879, 7852, 110, 1468, 2374, 3434, 5129, 5829, 6361, 7313, 663, 1992, 2992, 3420, 4885, 5498, 6722, 7547, 678, 1747, 2941, 3847, 4916, 5501, 6559, 7846, 1056, 2024, 2941, 3602, 4916, 5788, 6918, 7415, 914, 1847, 2941, 4108, 4916, 6085, 6529, 7948, 956, 1508, 2947, 3886, 4555, 5705, 6988, 7537, 1097, 2017, 2803, 4166, 5038, 6085, 7132, 7806, 488, 2017, 2914, 3893, 4704, 6085, 7084, 8223, 488, 2017, 3135, 4018, 5080, 6211, 7239, 8237, 488, 1622, 2914, 3893, 4624, 6139, 7124, 8147, 488, 1528, 2164, 3893, 4624, 6139, 7201, 8260, 818, 1648, 2806, 3893, 4624, 5705, 6794, 8223, 488, 1528, 2164, 3893, 4624, 6139, 6794, 8223, 488, 1528, 2164, 3893, 4630, 6139, 6972, 8223, 488, 1622, 3065, 3825, 4624, 6139, 6794, 7766, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3825, 4624, 6139, 6794, 8223, 488, 2017, 3065, 3825, 4624, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2914, 3825, 4798, 6186, 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, 4, 2 ]

[ 1, 31, 16, 5, 41, 20, 63, 53, 35, 5, 76, 45, 52, 5, 30, 33, 30, 16, 54, 5, 43, 45, 78, 5, 64, 45, 53, 62, 16, 67, 47, 78, 5, 5, 3, 945, 1528, 3117, 4071, 4366, 5612, 6752, 8147, 915, 1381, 2806, 3803, 5104, 5493, 6794, 8196, 899, 1388, 2860, 3990, 5058, 5219, 7069, 8267, 731, 1675, 2158, 4064, 4589, 5893, 6338, 8179, 845, 1759, 2273, 3573, 4412, 5277, 6680, 7996, 595, 1149, 2497, 3356, 4620, 5734, 7099, 7429, 1004, 1658, 2137, 3853, 5114, 5936, 6923, 7371, 1100, 2050, 2638, 4037, 5021, 5522, 6321, 7829, 752, 1898, 2598, 3492, 4495, 6167, 6707, 8247, 518, 1540, 3038, 3364, 4518, 5549, 6871, 7677, 901, 2030, 2459, 3454, 4427, 5865, 6467, 8242, 878, 1525, 2865, 3576, 4181, 5536, 7044, 7702, 899, 1851, 3000, 3740, 5157, 6123, 7065, 7427, 899, 1851, 2834, 3723, 4413, 6007, 6581, 7716, 899, 1851, 3021, 4115, 4782, 5534, 7043, 8147, 256, 2073, 2925, 4113, 4955, 5908, 6671, 7279, 256, 1664, 2941, 4093, 4720, 6131, 7111, 7582, 901, 1108, 2899, 3235, 4611, 5687, 6776, 7260, 256, 1937, 2730, 3413, 4267, 6204, 6589, 7641, 901, 2000, 2554, 3994, 5145, 5650, 7059, 7383, 878, 1608, 2340, 4113, 4287, 5350, 6584, 8236, 641, 1930, 2903, 3951, 4423, 5869, 6338, 8192, 850, 1542, 2948, 3313, 5123, 6215, 6789, 7379, 83, 1469, 2162, 4112, 5189, 6031, 7126, 7930, 736, 1469, 2658, 3772, 5151, 5776, 6255, 7983, 389, 1469, 2338, 4137, 4678, 5348, 6842, 7435, 472, 1469, 2338, 3434, 4664, 6174, 7135, 7438, 472, 1469, 2786, 3785, 4495, 5874, 6661, 7321, 472, 2050, 2571, 3215, 4678, 5686, 6257, 7405, 763, 1469, 2394, 4155, 4279, 6020, 6403, 8018, 738, 1446, 2286, 3290, 5199, 5203, 6737, 7685, 864, 2050, 2613, 3382, 4999, 5884, 7238, 8139, 1029, 1469, 2629, 3650, 4755, 6023, 6904, 7986, 150, 1900, 2536, 3865, 4348, 5631, 7241, 8242, 424, 1820, 2820, 3754, 4803, 5792, 7144, 7925, 390, 1860, 3110, 3600, 4930, 5527, 6830, 8054, 1090, 2009, 2232, 3394, 5012, 5493, 6940, 7572, 610, 1439, 3108, 3425, 4364, 6063, 6953, 7547, 424, 1275, 2383, 3394, 4609, 6014, 6242, 8181, 536, 1682, 2383, 3391, 5138, 5974, 6849, 7594, 850, 1469, 3038, 3754, 4333, 5937, 6513, 8241, 569, 1199, 2705, 3764, 4936, 5812, 6237, 7989, 1030, 2053, 2296, 3221, 4213, 5492, 6983, 7559, 536, 1199, 3034, 3887, 4404, 5915, 6247, 7748, 655, 1199, 3005, 4072, 5175, 6040, 7140, 7800, 1029, 1301, 3149, 3239, 4738, 6077, 7094, 7286, 386, 1389, 2515, 3639, 4713, 5422, 7175, 8169, 339, 1141, 2649, 3928, 4678, 5929, 6258, 8047, 339, 1234, 2309, 3438, 4332, 5695, 7232, 7759, 531, 1621, 2309, 4044, 5022, 5339, 6601, 7777, 975, 1976, 2655, 3785, 4248, 5633, 6840, 7858, 386, 1205, 2290, 3801, 4811, 5874, 6985, 8018, 784, 1548, 2502, 3551, 4518, 5863, 7219, 8255, 504, 1503, 2755, 3869, 4518, 5516, 6746, 7384, 643, 1316, 2248, 4051, 4756, 5935, 7045, 8057, 373, 2049, 2866, 3865, 4971, 5994, 6772, 8188, 1081, 1306, 2894, 3533, 4713, 6218, 6552, 7565, 160, 1924, 2894, 4017, 4827, 5788, 7019, 7965, 993, 1183, 2866, 3651, 4270, 5435, 6506, 7365, 784, 1529, 2732, 3894, 5014, 5528, 6775, 8159, 314, 1469, 2152, 3318, 5079, 5264, 6999, 7885, 737, 1582, 2499, 3179, 4407, 5298, 7048, 8145, 1004, 1199, 2309, 3609, 4184, 5272, 6458, 7519, 363, 1682, 2309, 3552, 4834, 5714, 6846, 8217, 803, 1129, 2813, 3552, 4755, 6114, 7172, 7616, 737, 1503, 3056, 4072, 4392, 5587, 6469, 7519, 465, 1183, 2983, 3520, 4755, 5867, 6283, 7515, 884, 1183, 2690, 3497, 5128, 5624, 6343, 7694, 725, 1183, 2452, 3421, 4796, 5587, 6247, 8109, 150, 2050, 3075, 4053, 4989, 5242, 6592, 7966, 504, 1503, 2373, 3706, 4334, 5475, 7086, 8068, 1025, 1503, 2842, 3430, 4364, 5904, 6991, 7816, 955, 1708, 2474, 3300, 4841, 5573, 6539, 7743, 955, 1255, 2729, 4011, 4583, 5824, 6677, 7641, 211, 1978, 2554, 3540, 4387, 5550, 7218, 8093, 1037, 2063, 2960, 4018, 4512, 5630, 6979, 7846, 914, 1218, 2582, 4174, 5104, 5534, 7132, 7806, 211, 1668, 2943, 3932, 4589, 5883, 7077, 8185, 390, 1777, 2991, 3983, 5058, 6175, 6979, 7948, 308, 1705, 2582, 3916, 4630, 5705, 7132, 8066, 576, 2063, 3116, 3485, 4519, 6092, 6348, 7260, 882, 1306, 2508, 4107, 4319, 5695, 6365, 8210, 299, 1442, 2725, 3475, 4771, 5751, 6521, 7440, 462, 1442, 2951, 3266, 4616, 5867, 6883, 7548, 1103, 1306, 2380, 3706, 4800, 6151, 6482, 7599, 399, 1842, 2817, 3712, 4428, 5845, 6917, 8123, 399, 1442, 2817, 4101, 4226, 6122, 6530, 7502, 992, 1794, 2922, 3421, 4338, 5473, 6628, 8236, 918, 1794, 2162, 4037, 4222, 5257, 6359, 7953, 761, 1140, 2989, 3434, 4539, 5337, 7167, 8108, 1081, 1794, 2316, 4110, 4191, 5550, 6735, 7873, 304, 2079, 2792, 3374, 4474, 5832, 7010, 7677, 804, 1684, 2508, 3914, 4717, 5694, 6575, 8069, 512, 2000, 2730, 3827, 4849, 6182, 6677, 8083, 1056, 1238, 3110, 3827, 4630, 5378, 7168, 7631, 1090, 1878, 2166, 3307, 4691, 5847, 6720, 7677, 650, 2079, 2484, 3918, 5129, 5694, 6612, 8066, 650, 1721, 2484, 3766, 4282, 5767, 6612, 7631, 504, 1688, 2292, 3271, 4482, 5843, 6458, 8188, 731, 1779, 3091, 3384, 4269, 5908, 6225, 8126, 223, 1562, 3091, 3454, 4902, 5908, 6900, 7764, 1035, 1110, 2369, 3394, 4482, 5981, 6719, 7899, 731, 2068, 3091, 4115, 5015, 5660, 7114, 8075, 216, 1689, 2710, 3221, 5184, 5984, 6890, 7393, 401, 1156, 2629, 3268, 4896, 6065, 6677, 7741, 304, 1982, 2439, 3390, 4482, 5664, 6225, 7918, 767, 1363, 2436, 3449, 4690, 5711, 6998, 8070, 1071, 1563, 2760, 3595, 5084, 5926, 6719, 7615, 1071, 1721, 2795, 3595, 4777, 5263, 6540, 8107, 750, 1995, 2911, 3364, 4224, 5641, 7127, 7831, 211, 1562, 2882, 3776, 4206, 5485, 6892, 7528, 390, 2127, 3135, 3374, 4589, 5893, 6900, 8261, 955, 1519, 2839, 4082, 4716, 5550, 6670, 7720, 247, 1564, 2453, 3421, 4374, 5995, 7198, 7367, 886, 1350, 2453, 3470, 5151, 6002, 7056, 8205, 1052, 1753, 2415, 3707, 4321, 6096, 7019, 8211, 737, 1717, 2830, 3421, 4707, 6222, 6954, 7904, 918, 2126, 2687, 3329, 4338, 5954, 6720, 8178, 920, 1564, 3116, 4037, 4784, 6107, 6484, 8006, 825, 1930, 2486, 3486, 4539, 5796, 6449, 8146, 576, 1978, 2587, 3905, 4364, 5514, 6270, 7398, 654, 1370, 2315, 3749, 4859, 5861, 7149, 7398, 654, 1561, 3040, 3957, 5040, 5556, 6349, 8249, 195, 1326, 2669, 4166, 4709, 5550, 6918, 7856, 127, 1635, 2991, 3931, 4859, 5792, 6849, 7846, 518, 1570, 2355, 4097, 4681, 5296, 6605, 7761, 518, 1304, 3064, 3188, 5080, 5844, 6988, 8267, 518, 2127, 2959, 4113, 5038, 5713, 6623, 8099, 518, 1140, 2976, 3994, 4836, 5436, 6338, 8130, 518, 2127, 2316, 3803, 4863, 5210, 6579, 7707, 228, 1974, 2473, 3723, 4644, 5863, 7218, 7865, 256, 2017, 2316, 3719, 4387, 5963, 6500, 7485, 959, 1827, 2659, 4068, 5120, 5801, 7058, 8066, 1033, 1594, 2508, 4089, 4980, 5437, 6955, 8061, 786, 1636, 3040, 3540, 4873, 5447, 6828, 8139, 681, 1814, 2732, 3309, 4495, 5739, 6531, 8268, 325, 2013, 2835, 3635, 4295, 6145, 6243, 8079, 850, 1407, 2802, 3463, 5157, 5610, 6911, 7413, 424, 1660, 2273, 3671, 4773, 6002, 6560, 7720, 1090, 1675, 2309, 3732, 5104, 6171, 6467, 7365, 955, 1581, 2912, 3960, 4665, 6154, 6251, 7816, 663, 1577, 3144, 3472, 4867, 5661, 6612, 8093, 1090, 2125, 2943, 3866, 4374, 6085, 6584, 7865, 211, 1562, 2960, 4074, 5159, 5678, 7098, 8031, 804, 1668, 2803, 4108, 4782, 5832, 6979, 8066, 914, 1467, 2943, 3188, 5058, 5340, 6709, 8066, 804, 2041, 3007, 4108, 5104, 5241, 7006, 8260, 1020, 1895, 2293, 3863, 4334, 5419, 6880, 8017, 223, 1660, 2863, 3987, 4334, 5311, 6347, 8245, 806, 1826, 2474, 3595, 4308, 5792, 6771, 8130, 776, 1779, 2552, 3356, 4481, 5657, 6359, 8117, 390, 2065, 2915, 3186, 4495, 5258, 6589, 7728, 789, 1963, 2454, 3226, 4630, 6075, 6668, 7715, 256, 2041, 2454, 3723, 5104, 5385, 6579, 7715, 256, 2030, 2992, 3662, 4512, 5677, 6515, 7549, 789, 1147, 2468, 3770, 4387, 5580, 6668, 7806, 256, 1750, 2989, 3364, 4555, 5832, 6909, 7715, 256, 1750, 3147, 3857, 4912, 6051, 7006, 8213, 756, 1510, 2469, 3540, 5080, 5719, 7023, 7702, 752, 2094, 2924, 3922, 4218, 6035, 6938, 7555, 1043, 1570, 2348, 3943, 5092, 5662, 6269, 8190, 325, 1732, 3105, 4137, 4774, 5396, 6716, 7393, 545, 1635, 2692, 3963, 5097, 5325, 6890, 8167, 930, 1550, 2355, 3695, 4919, 6002, 6872, 7932, 806, 1289, 2402, 3417, 5165, 5292, 6296, 8064, 487, 2079, 2258, 3417, 4574, 5292, 6578, 7605, 986, 1164, 2692, 3159, 5031, 6059, 6270, 7505, 722, 1164, 2427, 4007, 4755, 5719, 6281, 8230, 807, 1140, 2801, 3518, 4620, 5714, 6763, 7312, 986, 1164, 2180, 3695, 4688, 6180, 6670, 8047, 582, 1942, 2692, 3421, 4421, 5730, 6608, 8234, 807, 1275, 2692, 4096, 4312, 5831, 6917, 7605, 1080, 1550, 2420, 3268, 4482, 5729, 6563, 8030, 880, 2095, 2817, 3943, 5097, 5766, 7028, 7919, 778, 1576, 2829, 4137, 4571, 5616, 6775, 7932, 807, 1140, 2403, 3764, 5142, 5254, 6472, 7409, 1040, 1140, 2402, 3943, 5092, 5844, 6553, 7554, 839, 1171, 2830, 3552, 4687, 5800, 6387, 8268, 115, 1339, 3039, 4007, 5188, 5541, 7076, 7743, 576, 1238, 2818, 3908, 4598, 5966, 6605, 7536, 654, 1525, 3079, 3485, 4399, 6106, 6614, 7260, 654, 1165, 3147, 3391, 4519, 5430, 6627, 7996, 195, 1935, 2858, 3866, 4218, 5780, 6889, 7474, 518, 1974, 2316, 4018, 5079, 6001, 7132, 7509, 256, 2064, 2858, 3827, 4716, 5968, 7129, 7563, 475, 1147, 3007, 3595, 5129, 5578, 7207, 8076, 555, 2046, 2316, 3470, 4555, 5548, 6291, 7716, 915, 1961, 2729, 3982, 5038, 6081, 6612, 8164, 915, 1961, 3110, 3914, 4704, 5719, 7077, 8196, 419, 1750, 2914, 4071, 5138, 6149, 6794, 7766, 4, 2 ]

[ 1, 16, 54, 30, 5, 76, 69, 30, 5, 65, 57, 5, 17, 62, 5, 33, 54, 47, 5, 30, 44, 64, 66, 36, 28, 16, 54, 64, 3, 105, 2127, 2839, 3528, 5075, 5580, 6740, 7821, 859, 2127, 2858, 3359, 5075, 5438, 6688, 7401, 859, 1332, 2839, 3803, 4606, 6175, 7160, 7643, 186, 1623, 2729, 3827, 4888, 5892, 6677, 8147, 488, 2032, 3117, 3803, 4583, 6129, 7120, 8237, 1102, 1508, 3043, 3895, 4256, 5576, 6752, 8222, 769, 1320, 2654, 4146, 4467, 5642, 6735, 8120, 739, 1349, 3010, 3733, 4218, 6044, 6568, 7873, 714, 1296, 2491, 3172, 4701, 6097, 6782, 7983, 734, 1808, 2830, 3717, 4182, 5526, 6538, 8046, 650, 1989, 2865, 3635, 4918, 6125, 7233, 7821, 826, 1255, 2348, 3593, 4807, 5968, 7204, 7393, 150, 1831, 2868, 3456, 4942, 5616, 6899, 7386, 104, 1717, 2661, 3655, 4191, 5531, 6566, 7971, 271, 1350, 3080, 3615, 4219, 5981, 6884, 7687, 826, 1676, 2391, 4145, 4365, 5981, 6349, 7607, 887, 2053, 2429, 4027, 4972, 6171, 7059, 7962, 536, 1318, 2903, 3492, 4362, 5752, 7098, 8078, 299, 2061, 2695, 3409, 4308, 5891, 6302, 7331, 536, 1463, 3092, 3582, 4738, 5512, 6567, 7492, 1062, 1171, 2232, 3968, 5088, 5573, 7168, 7919, 103, 1821, 2893, 3993, 4604, 5515, 6669, 7948, 956, 2107, 2887, 3645, 4780, 6175, 7098, 8066, 488, 2041, 3135, 4041, 4912, 6182, 7120, 7421, 183, 1674, 2139, 3904, 4872, 6077, 6291, 8069, 225, 1905, 2181, 4152, 4344, 5716, 7019, 7259, 225, 1264, 2468, 4011, 4839, 5438, 6979, 8240, 334, 1633, 2454, 3857, 4675, 5837, 6254, 8006, 334, 1633, 2560, 3603, 4638, 5730, 7001, 7749, 334, 1345, 2880, 3603, 4504, 5730, 7168, 7542, 334, 1248, 3127, 4005, 4493, 6115, 6861, 7588, 118, 1289, 2473, 3681, 4899, 6163, 6623, 7537, 118, 1269, 2398, 3812, 4556, 5580, 6612, 8132, 183, 1269, 2454, 3723, 5143, 5629, 6740, 7880, 183, 1286, 2683, 4078, 4681, 5981, 6327, 7563, 757, 1858, 3064, 3595, 4512, 6137, 7152, 7838, 1102, 1561, 2729, 3226, 4606, 5705, 6715, 7369, 216, 1399, 2895, 3413, 5125, 6222, 7095, 7591, 936, 2060, 2987, 3766, 4363, 5441, 6334, 7505, 299, 1689, 2390, 3878, 4467, 5533, 6866, 7650, 736, 1630, 2639, 4137, 4507, 5975, 6458, 7607, 917, 1554, 2137, 3714, 5151, 5505, 7140, 7513, 386, 1469, 2484, 3598, 4539, 5337, 6942, 7248, 150, 2089, 3010, 3507, 4910, 5594, 6510, 7578, 150, 1469, 3072, 3512, 4683, 5320, 6997, 8005, 150, 1469, 2348, 3505, 4924, 5284, 6574, 8019, 277, 1924, 2307, 3267, 4688, 5960, 7078, 7519, 277, 1270, 2933, 3500, 4474, 5815, 6618, 7367, 277, 1469, 2643, 3822, 5067, 5213, 7048, 7873, 917, 1469, 3146, 3936, 4794, 5272, 7008, 7772, 774, 1199, 3146, 3728, 4361, 6043, 6456, 8210, 655, 2075, 2348, 3241, 4238, 5829, 6663, 8054, 150, 1843, 3010, 3755, 4301, 5483, 6892, 8238, 914, 1897, 2991, 3540, 4867, 6205, 6361, 8195, 935, 1791, 2996, 4171, 5153, 6025, 6809, 7428, 186, 1913, 2991, 3361, 5080, 5630, 6771, 8267, 935, 1791, 2730, 3201, 5166, 5687, 6688, 7949, 935, 1791, 2834, 3201, 5060, 5630, 7084, 8237, 935, 1791, 3008, 4114, 5060, 5687, 6786, 7720, 575, 2046, 2720, 3582, 4713, 5463, 7129, 8205, 123, 2090, 2863, 3245, 4844, 5908, 6953, 7563, 1038, 1522, 2897, 3935, 4953, 5389, 6565, 7759, 751, 1286, 2665, 3686, 4658, 6070, 7000, 8072, 487, 1482, 2448, 3997, 4237, 6160, 6551, 8112, 737, 1550, 2748, 3171, 4539, 5966, 6908, 7790, 936, 1695, 3116, 3785, 4595, 5706, 7046, 7620, 610, 1676, 2994, 3692, 4825, 5788, 6898, 8107, 610, 1602, 2257, 3917, 5026, 6183, 6405, 7557, 150, 1320, 2401, 3183, 4700, 6033, 6829, 8003, 535, 1692, 2872, 3395, 5185, 6039, 6224, 8069, 487, 2055, 2309, 3329, 4845, 5788, 6572, 8012, 993, 1708, 2655, 3860, 5054, 5843, 6255, 7304, 807, 1777, 3116, 3351, 5124, 5465, 6814, 8058, 887, 2008, 2610, 3987, 4364, 5746, 6830, 8074, 103, 2033, 2721, 4096, 5088, 6118, 7218, 7485, 684, 1897, 3033, 3932, 5134, 5963, 7095, 7732, 804, 1620, 2783, 3516, 5088, 5705, 7152, 7876, 804, 2125, 2895, 3886, 4888, 6205, 7058, 7494, 512, 1620, 2838, 3710, 5058, 5661, 7201, 7485, 308, 2000, 2838, 3201, 4630, 5635, 7006, 7949, 811, 1782, 3097, 3537, 4720, 5555, 6755, 8117, 825, 1652, 2591, 3191, 4545, 5845, 6414, 7366, 643, 1938, 2801, 3167, 5019, 5664, 6725, 7474, 887, 1442, 3005, 4128, 4833, 5812, 6265, 7759, 317, 1146, 2414, 3407, 4321, 5474, 6972, 7649, 225, 1540, 2839, 3855, 4638, 5965, 6740, 7929, 699, 2013, 2341, 4143, 4982, 5641, 6525, 7477, 195, 1570, 2506, 3882, 4549, 6182, 6430, 7635, 654, 1345, 2156, 3470, 4870, 6160, 6677, 7865, 518, 1756, 2833, 3599, 5007, 5385, 6607, 7831, 654, 1758, 2469, 3277, 5135, 5248, 7207, 8262, 240, 1645, 3000, 3407, 5138, 5767, 6296, 8261, 240, 1814, 2729, 3726, 5053, 6182, 6988, 7831, 543, 1750, 3062, 3803, 4398, 5514, 7232, 7766, 419, 2017, 2914, 3407, 4798, 5514, 7077, 7563, 419, 2078, 2914, 3893, 4549, 5635, 6612, 8164, 228, 2097, 2875, 3391, 5159, 5550, 7103, 8164, 317, 1468, 2370, 3931, 4529, 5963, 6612, 7796, 1091, 1732, 2795, 4168, 4651, 5751, 6868, 7838, 547, 1241, 2238, 3383, 4592, 5481, 6660, 7906, 363, 1504, 2349, 3237, 4297, 5370, 6531, 8030, 1023, 1758, 2215, 3711, 4855, 5934, 6224, 8194, 465, 1849, 2378, 3375, 5032, 5459, 6262, 8014, 888, 1759, 2905, 3873, 4843, 5292, 7086, 7261, 1029, 1882, 2905, 3745, 4242, 5746, 6732, 7800, 536, 1239, 2969, 3167, 4796, 5266, 6573, 7480, 299, 1299, 2905, 4007, 4242, 5496, 6235, 7987, 887, 1972, 2589, 3691, 4582, 5964, 6485, 7366, 288, 1146, 3038, 3396, 4777, 6032, 6272, 8173, 1056, 1620, 2555, 3916, 5060, 6129, 6935, 7687, 390, 1791, 2730, 4171, 5085, 6084, 6958, 8245, 776, 2073, 2498, 3873, 4529, 5565, 6414, 7485, 1057, 2095, 3020, 4153, 4437, 5314, 6632, 7879, 692, 1876, 2349, 3616, 5065, 5810, 6581, 8269, 693, 1577, 2349, 3453, 4503, 5579, 6325, 8058, 770, 1669, 2792, 3710, 4288, 6026, 6828, 8163, 951, 1992, 2792, 4078, 5088, 5620, 7005, 7856, 1090, 1510, 3095, 3188, 5014, 5923, 6841, 7421, 390, 1881, 3061, 3771, 5129, 5212, 7019, 7962, 1090, 1182, 2946, 4152, 4335, 5202, 7127, 8245, 610, 1858, 2924, 4152, 5098, 6192, 6646, 8099, 1090, 1120, 2480, 3271, 4622, 5749, 6603, 8266, 427, 1945, 3098, 3488, 5165, 5630, 7207, 8209, 543, 1998, 2554, 3710, 5169, 6063, 7232, 8237, 654, 1750, 2554, 3470, 5159, 5218, 6604, 8188, 654, 2127, 3147, 3798, 4622, 5515, 6612, 7717, 228, 2127, 2341, 3394, 4902, 5515, 6579, 8006, 228, 1525, 2669, 4006, 5135, 5640, 6338, 8236, 228, 2127, 2341, 4125, 4512, 5333, 6515, 7806, 228, 1345, 2669, 3798, 5083, 6097, 7232, 8266, 228, 1750, 2554, 3798, 5135, 5241, 6889, 8126, 256, 2127, 2565, 3374, 5166, 5677, 6810, 7485, 543, 2106, 2554, 3225, 5168, 6041, 6584, 8076, 488, 1528, 2914, 3770, 5159, 5963, 7120, 7677, 797, 1528, 2806, 3825, 5135, 5241, 7069, 8147, 201, 2017, 2806, 3893, 4704, 6139, 7124, 8147, 201, 1528, 2806, 3825, 4624, 6139, 6794, 8147, 142, 1528, 2806, 3825, 4704, 6186, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 488, 1622, 2164, 3893, 4624, 6139, 7124, 8223, 488, 1648, 2806, 3893, 4624, 6139, 6794, 8223, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 2164, 3825, 4798, 6186, 7226, 8223, 142, 1528, 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, 3893, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 142, 1622, 2914, 3825, 4798, 6186, 7124, 7766, 4, 2 ]

[ 1, 66, 73, 5, 77, 73, 78, 5, 31, 33, 53, 5, 41, 20, 63, 5, 31, 16, 5, 43, 33, 52, 62, 5, 17, 75, 5, 17, 31, 35, 78, 5, 5, 3, 945, 1528, 2806, 3893, 4583, 5901, 6794, 8147, 142, 1528, 2806, 3825, 4704, 6139, 6794, 8196, 142, 1528, 2914, 3825, 4798, 6186, 7226, 8196, 142, 1528, 2914, 3893, 4798, 6186, 7226, 8223, 488, 1648, 2806, 3893, 4624, 6081, 6794, 7766, 541, 1320, 2542, 3815, 4622, 5474, 6607, 7744, 195, 2002, 2151, 4092, 5096, 5386, 6813, 7405, 403, 1281, 2429, 3277, 4512, 5586, 6605, 8093, 138, 1794, 2271, 3323, 4541, 5471, 6840, 7582, 653, 1686, 2724, 3410, 4711, 5950, 6468, 7930, 856, 1832, 2693, 3286, 5009, 5863, 6749, 8001, 1006, 1561, 2271, 3769, 4617, 6163, 7230, 7957, 391, 1550, 2249, 3371, 4381, 5694, 7111, 7492, 986, 1411, 2464, 3790, 4771, 5664, 6829, 7900, 545, 2095, 2717, 3525, 5088, 6135, 6592, 7660, 582, 1858, 2940, 3796, 4716, 5624, 6809, 7810, 231, 1637, 2946, 3394, 4777, 5878, 7000, 8061, 731, 1550, 2741, 4168, 4542, 6101, 6592, 7537, 987, 2008, 2292, 4005, 4236, 5982, 7043, 7971, 582, 1755, 2282, 3332, 4903, 6194, 6944, 7791, 986, 1281, 2492, 3298, 5103, 6052, 6314, 8079, 545, 2091, 2607, 3324, 4483, 5898, 6592, 7618, 856, 1761, 2717, 3585, 4238, 5413, 7049, 7946, 856, 1373, 2725, 3991, 4800, 5267, 6270, 7605, 856, 1628, 2497, 3993, 4637, 5865, 6717, 7279, 204, 1596, 2205, 3245, 4499, 5858, 7143, 7613, 408, 1603, 2205, 3227, 5022, 5259, 6963, 7764, 408, 1740, 2508, 3902, 4320, 5364, 6687, 8178, 778, 1400, 2137, 4160, 4868, 5944, 7082, 7611, 778, 1400, 2497, 3518, 4354, 5313, 6717, 7706, 408, 1400, 2611, 3581, 4860, 6120, 7154, 7918, 448, 2118, 2170, 3155, 4795, 6201, 7025, 7477, 1006, 1453, 2585, 3376, 4666, 6177, 6532, 7538, 699, 2002, 2183, 3970, 4654, 5224, 6704, 8151, 654, 1241, 2791, 3983, 4395, 5965, 6491, 7753, 654, 2065, 2238, 3321, 4344, 6123, 6786, 7756, 518, 2030, 2783, 3838, 5160, 6063, 6612, 8126, 789, 1452, 3144, 3374, 4586, 5514, 7047, 7749, 475, 1508, 3144, 4089, 4918, 6137, 7090, 8236, 304, 1525, 2254, 3917, 5088, 5962, 6776, 7592, 1098, 1356, 2455, 3991, 4611, 5643, 7148, 7475, 640, 1252, 2832, 3326, 4679, 5297, 6225, 7874, 726, 1735, 2680, 3674, 5011, 5224, 6894, 7770, 938, 1723, 2207, 3469, 4700, 5660, 6433, 7473, 767, 1919, 2543, 3869, 4589, 5833, 6824, 7677, 401, 1692, 3150, 3892, 4803, 5245, 6477, 7643, 390, 2001, 2534, 3533, 4558, 5850, 7120, 8126, 804, 1931, 2542, 4082, 5075, 5832, 7157, 7936, 489, 2030, 2709, 3430, 4627, 6222, 6607, 7563, 518, 2030, 2638, 3286, 5183, 6160, 6617, 7965, 874, 2088, 2989, 3376, 4412, 5580, 7109, 7500, 355, 1547, 2677, 3595, 4225, 5677, 6405, 7578, 211, 1173, 3110, 3803, 4512, 5543, 6776, 7764, 235, 1630, 3108, 3840, 5123, 5535, 6668, 7264, 333, 1548, 2698, 3284, 4467, 5311, 6529, 7988, 1080, 1503, 2859, 3556, 4458, 6153, 6711, 8144, 386, 1812, 2137, 3469, 4628, 5624, 6360, 7721, 833, 1924, 3038, 3675, 4575, 5836, 6721, 7576, 308, 1924, 2924, 4171, 5073, 5981, 6774, 8076, 756, 2030, 2709, 3909, 4440, 5677, 6615, 7842, 952, 1202, 2398, 3376, 4872, 5642, 6980, 7612, 840, 1402, 2868, 3486, 4770, 6111, 6869, 7783, 997, 1199, 2629, 4057, 5049, 5471, 6710, 7785, 360, 1496, 2658, 3202, 4495, 5585, 6573, 7983, 895, 1346, 2591, 3647, 4574, 5847, 6263, 7685, 844, 1349, 2356, 3202, 4901, 6179, 6493, 7698, 750, 1633, 2221, 3832, 4734, 6154, 7047, 7264, 211, 1684, 2469, 3376, 4437, 5678, 7237, 7946, 844, 1330, 2761, 3540, 5079, 5708, 6292, 7398, 857, 1467, 2818, 4078, 5179, 5924, 6890, 7872, 1102, 1460, 3108, 3761, 4755, 5376, 6810, 7689, 160, 2118, 3040, 3492, 5195, 5719, 6659, 7279, 1067, 1267, 2626, 3493, 4427, 5660, 6230, 7659, 1067, 1503, 2742, 3398, 4730, 6130, 6892, 7903, 1067, 1503, 2846, 3398, 4794, 5881, 7103, 8061, 1067, 1554, 2452, 3276, 4999, 5999, 7080, 7672, 271, 2050, 2234, 3563, 5062, 5550, 6623, 7253, 895, 1407, 3040, 4101, 4772, 5637, 7227, 7850, 887, 2050, 2244, 3897, 4689, 5952, 6619, 7520, 804, 1978, 2221, 3908, 4589, 6064, 6243, 8237, 956, 2046, 2582, 4174, 5106, 6051, 6979, 7949, 1097, 1620, 3135, 3982, 4287, 5210, 7006, 8260, 510, 1998, 2838, 3201, 4287, 5378, 6996, 7641, 935, 1869, 2996, 4171, 4366, 5219, 7201, 8107, 914, 1675, 2880, 3982, 4551, 5901, 7168, 7421, 473, 2008, 2398, 3649, 4423, 5436, 6791, 7732, 948, 1318, 2924, 3191, 5145, 5737, 6287, 8259, 536, 1447, 2869, 3713, 4623, 5796, 7106, 8078, 150, 2036, 2869, 4093, 4589, 6050, 6346, 7933, 778, 1503, 2556, 3448, 4354, 5754, 6797, 7941, 955, 1620, 3143, 4016, 5020, 6120, 6887, 7565, 756, 1146, 2473, 4011, 4389, 6129, 6918, 7311, 863, 1581, 2843, 3904, 4567, 5919, 6953, 7453, 271, 1898, 2728, 3557, 4531, 5866, 6349, 8070, 1067, 1669, 2604, 3398, 4504, 6088, 6586, 8154, 277, 1436, 2137, 3520, 4497, 5668, 6887, 8091, 840, 2050, 2937, 3289, 4949, 5953, 6375, 8011, 1041, 2036, 2137, 3967, 4738, 6002, 7140, 7644, 494, 1918, 2173, 3214, 4340, 5915, 6244, 7779, 1066, 1828, 3103, 3968, 4800, 5646, 6663, 8233, 770, 1463, 3074, 3936, 4495, 5765, 7126, 8248, 571, 1913, 3043, 3964, 4272, 6058, 6957, 7521, 789, 1467, 2391, 3945, 4398, 5723, 6627, 8267, 899, 1705, 2406, 3758, 5104, 5493, 6646, 7384, 878, 1467, 2791, 3904, 4717, 5438, 6979, 7677, 844, 1463, 2791, 3885, 4879, 5485, 6806, 7519, 778, 1139, 2716, 3965, 5111, 6002, 6883, 7868, 536, 1299, 2787, 3169, 4875, 5512, 7037, 8168, 880, 1510, 3003, 3413, 5026, 5759, 6573, 7270, 803, 2011, 2678, 4025, 4607, 5686, 7215, 7248, 862, 2011, 3101, 3771, 5000, 5208, 6592, 7559, 668, 1758, 2218, 4154, 4672, 5823, 6973, 8017, 569, 1735, 2974, 3187, 5000, 6216, 7247, 7796, 492, 1422, 2848, 3192, 4826, 5461, 6435, 7313, 692, 1821, 2463, 3605, 4604, 6031, 6313, 7930, 862, 1171, 2349, 3699, 5186, 6048, 6883, 7682, 665, 2125, 2741, 3949, 4594, 5352, 6958, 8213, 404, 2067, 2751, 3446, 4440, 5428, 6884, 7894, 113, 1139, 2156, 3986, 4319, 5360, 6808, 8079, 1024, 2105, 2750, 4082, 4258, 5441, 6579, 7955, 271, 1653, 2369, 3861, 4894, 5490, 6292, 8213, 613, 1524, 2780, 3617, 5063, 5844, 6224, 7899, 576, 2059, 2751, 3274, 4813, 5778, 6481, 8230, 225, 1534, 2457, 3376, 4481, 5536, 6740, 7687, 654, 1826, 2454, 3933, 4890, 5296, 6348, 7421, 654, 1597, 2560, 3803, 4859, 5963, 6338, 7838, 240, 2002, 3006, 3352, 4398, 6103, 6607, 7664, 240, 2002, 2473, 3914, 5079, 6163, 6889, 7677, 543, 2111, 3095, 4145, 5106, 5515, 6996, 8080, 552, 1700, 2944, 3932, 4435, 5515, 7012, 7363, 860, 1622, 2669, 3825, 4329, 5901, 6589, 8147, 488, 1851, 2806, 3914, 4704, 5241, 6889, 7766, 488, 1528, 2914, 3893, 4704, 5241, 7124, 7715, 488, 1528, 3065, 3825, 4704, 6139, 6794, 8196, 488, 1528, 3065, 3893, 4704, 6139, 6794, 8196, 915, 1648, 2806, 3914, 4798, 6081, 6752, 8223, 555, 1648, 3021, 3391, 5159, 5550, 7124, 8223, 555, 1648, 2833, 3914, 4512, 5981, 6515, 7732, 915, 1648, 3147, 4068, 4888, 6186, 7152, 7723, 915, 1648, 2833, 3914, 4512, 5892, 6515, 7485, 915, 1648, 2806, 3391, 4798, 5241, 6752, 8223, 915, 2017, 2970, 3391, 4798, 5635, 6996, 8223, 555, 1750, 3021, 4071, 4870, 5635, 6677, 7485, 915, 1622, 3021, 3914, 4512, 5892, 6752, 8126, 4, 2 ]