permutations.c

/**
 * This file was generated by compiling and running generatepermutations.c
 */

#include "permutations.h"

static uint16_t permutations[N_PERMUTATIONS][PERMUTATION_LENGTH] = {
   {
       532, 5740, 4559, 4197, 2086, 1876, 4157,  885, 2716, 7763, 6951, 4160, 6112, 1935, 4882, 6439,
        58, 2037, 3133, 5122, 3899, 6082, 5878, 1372, 4634,  491, 6284,   16, 2456, 3651, 5038, 6358,
      5020, 3106, 5189, 5008, 5167, 4150, 6655, 5989, 5068,  463, 5957,  298, 6526, 1984, 5395, 1596,
       242, 6896, 3479, 1987, 1854, 3511, 7323, 5365, 7680,  195, 4910, 3880, 7023, 6515, 8117, 1885,
      6262, 6910, 4316, 4170, 3092, 4053, 7022, 5831, 4465, 3861, 3377, 7738, 7162, 1809, 3855, 4214,
      7640, 4105, 6642, 5694, 4926,  335, 5628,   40, 1748, 6074, 6372, 5186, 6967, 5697,  984, 5999,
      1354, 1968,  917, 7619, 3506, 3927, 2053,  411,  650, 3489, 5119, 3507, 2887,  778, 4168, 7311,
      3378, 6150, 4478, 2422, 4781, 5269, 4457,  937, 5516, 5041, 2366, 3206, 1843, 6139, 5033, 4757,
        60, 4773, 2396, 5087, 5264,  656, 1225,  704, 1595, 1196, 6080, 5917, 7961, 6737, 7284, 5958,
      2125,  503, 1818, 6005,  131, 1870, 2724, 8153, 6141, 7702, 4377, 2848, 1565, 3775, 2955, 3203,
      2721,  443,    5, 7519, 6678, 5132,  868, 3838,   52, 2188, 6076, 6448, 1546, 6148, 7807,  550,
      5813, 2589, 2683, 1149, 3523, 3539, 2004, 7869, 2454, 1329, 4361, 4892, 7646, 5665, 1577, 1812,
      4165, 7414, 8179, 4022, 3926, 6762, 2975, 1531, 4877, 5615,  348, 7309, 4027, 3457, 7154, 4734,
      1069, 2643, 6833, 3432, 4621,  627, 7967, 6966, 2274, 2318, 5739, 1882, 4958, 6703, 1737,  493,
      4209,  139, 2381, 7574, 5928, 2387, 6362, 7276,  353, 3932,  629,  319,  214, 7073, 5091, 7482,
      4713, 1492, 3292,  258, 7265, 1616, 4941, 4613, 3842, 5182, 4223, 7075, 7892, 6275, 5637
   },
   {
      3243, 6108, 1017, 3418, 6872, 1520, 4987, 5621, 6819, 2040,  398, 2986, 1350, 4803, 7830,  899,
      6183, 1814, 4763, 7247, 2928, 1060, 4937, 1025, 1980, 7126, 3774, 7482, 4770,   93, 1777, 7291,
      7237, 6911, 5760, 4955, 7990, 6610, 5840, 7252, 3641, 2380, 7777, 5910,  247, 5839, 8099, 1726,
      5245, 1079, 4408, 5585, 8029,  263, 6444, 1924, 2238,  244, 3151, 7163, 7920, 3226, 8091, 1388,
      6067, 5295, 4810, 7648, 6972,  596, 4425, 7817, 1912, 1872, 2111, 6140, 1258, 1428, 1824, 5362,
      6120, 5827,  367, 7567, 3699, 7807, 6668, 6355,  605,  210,  124, 4222, 6675, 6012, 3793, 4090,
      2332, 2484, 1628, 6345, 2466, 6568, 1288, 6241,  457, 1386,  217,  670, 7620, 6204, 7462, 7994,
      1729, 5281,  365, 8041, 3400, 3503, 2896, 1633, 2530, 8044, 1649, 3945, 2941,  609, 6394, 7609,
      3714, 7414, 2231, 7157, 3186, 6750, 5820, 4241, 1616, 7858, 2524, 1860, 2193,  633,  425, 2983,
      2955, 6062, 4336, 3859, 4675, 4755, 1095, 6453, 2004, 4407, 7151, 6126, 3482, 5672, 2604, 5048,
      4828, 5301, 8027, 7485, 1201, 5291, 6592, 4396, 4681, 6393, 2946, 3588,  215, 1808, 3255,  850,
       574, 5356, 5213, 3445, 8177, 5947, 5141, 6692,  264, 5007, 2966, 1218, 3374,  988, 6465, 3655,
      3891, 3063, 7136, 7471, 6037, 6401, 1275, 1797, 2115, 2072,  360, 2052, 1975, 1335, 4370, 6278,
      4157, 7135, 7861, 1799, 5451, 5247, 5494,  283, 2134,  973, 4856,  903, 3481, 6114, 6324, 6255,
      6854, 7941, 2349, 5527, 7084, 4888, 7696, 4137, 3735, 6983, 2157, 6608, 1684, 6145, 6313, 4548,
      6239, 2027, 4776, 4353, 2174, 3807, 5773, 4561,  916, 2201, 3723, 2400, 4366, 7991, 1581
   },
   {
      5780, 2171,  899, 6330, 3387, 3681, 3347, 3169,  773, 3704, 2062, 4856, 3736, 3880, 6083, 2550,
       833, 3252,  605, 7880, 2122, 3995, 7506, 8068, 2774, 7986, 4010, 4846, 3756, 7202, 2069, 6120,
       361, 3675, 4598, 5695,  134, 8058, 7727, 3544,  742, 2791, 6354, 3997, 8190, 6436, 4548, 8111,
       500, 5964,  275, 7646, 2668, 4319, 3891, 7430, 4059, 4342, 5566, 1314, 5026,  604,  448,  382,
      1048, 3927, 5526, 6048,  737, 6049, 2360, 7031, 4955, 1330, 3262, 6523, 7298, 1095,  775, 8154,
       133, 6429, 1284, 4371, 1205, 2421, 4104, 4324,  687, 4960, 5360, 2995, 1667, 4379, 8134, 7942,
      5180, 6975, 4710, 7794,  308, 8118, 1372, 1913, 4657, 7788, 6182, 3193, 6746, 6665, 2918, 7786,
      7249, 6721, 6437, 3461, 2930, 5150,   91,  896, 3878, 6185, 2561, 1167, 2821, 4529, 6703, 3645,
      8059, 1423, 1817, 6358, 6545,  794, 8073, 1915, 3271,   81,   55, 4261, 2144, 4459, 4842, 3035,
      5742, 2353, 2792, 5905, 6544, 5086, 3015, 5469, 7631,  781, 7325,  709, 7577, 7130, 2979, 4660,
      5669, 4079, 6014,  400, 4421, 7394, 6612, 1766, 4985, 5292, 1924, 6400, 6920, 6050, 3841,  711,
      8100,  100, 1643, 3791, 7950, 2752, 1651, 8044, 8135, 2917, 1470, 7180,  551, 1800, 4148,  295,
      6949, 4042, 1686, 7797, 3536, 2422, 1068,  675, 1096,  728, 1648, 3032, 1608, 6288, 3432, 1293,
      3895, 2367, 7820, 5315, 7253, 5778, 7967, 7470, 6857, 1024, 1399, 3627, 2886, 4369, 1321, 5711,
      7445, 5334, 1942, 3685, 7422, 6228, 6022,  688, 6062, 4667,  345, 5728, 2185, 2481, 4673, 5249,
      3397, 7943, 2373, 8042, 2761, 8169, 2227, 7053, 3737, 2445, 1983, 6649,   26, 3112, 2126
   },
   {
      3606,   55, 7898, 7710, 3380,  409, 1589, 1077, 1837, 2350, 7596, 6870, 5248, 2565, 6935, 3717,
      2893, 7070, 4103, 7090, 2034, 2748, 6295, 4881, 3888, 4937, 3899, 3918, 2561, 7918, 5785, 3148,
      4792, 4823, 6648, 5517, 2274, 1867, 1736,  533, 2080, 6572, 7882,  345, 4595,  471, 7612, 7912,
      2879, 7856, 7914,  291, 2789, 3084,  835, 1304, 5056, 6201,  559, 1405, 7100, 7660,  587,   57,
      1609, 3728,  322, 2972,  983, 2304, 6864, 4376,  271, 7333, 7664,  447, 5193, 4348, 5807, 3574,
      4900, 1803, 2328, 1992, 5678,  876, 5957, 7025, 2189,  569,  747, 2115, 5620, 6138,  332, 7522,
      6823,  481, 6101, 3577,  260, 2285, 4472, 8121, 4439, 7108, 5227, 3596, 1438, 5401,  458, 2336,
       465,  892,  638,  786, 5321, 4005,  396, 5418, 3045, 5540, 2185, 5204,  534, 4465, 4235, 5950,
      7990, 7079, 2631, 6155, 5643, 4258,  570, 6251, 5061, 1553, 6734, 4556, 7549,  843, 1535, 3582,
       606, 1633, 2258, 5824, 4944, 7370, 7594, 4011, 3326, 5910, 4339, 6387, 5078, 3214, 6133, 7272,
      1878,  625, 2843, 1928, 7545, 1113, 2399,  896,  219, 8150, 1395, 5845,  339, 4200, 7880, 4019,
      4401, 1308, 7312, 5703, 2409, 4474, 2416, 6810, 3508, 4224, 4142, 1611, 1544, 6514, 8038, 4255,
      5017, 3751,  266, 4617, 1166, 6046, 7419, 5926,  243, 6789, 2338, 3932, 3426,  971,  169, 6290,
      3024, 6732, 6699, 4127, 4400, 6407, 1228, 4248, 7005, 6727, 3522, 6875, 4678, 5191, 5531, 6462,
      6277, 7492, 5608, 6690,  181, 4124, 2771, 6904, 5097, 4640,  410, 2237, 4626, 2768, 1226, 6927,
      7533, 1702, 5125, 2680, 3839, 4730, 6429, 2383, 7501, 1341, 7733, 5587, 1240, 6276, 4053
   },
   {
      5028, 1215, 7470, 2199, 7052, 1236,  684, 3448, 2146, 5636,  329, 3239, 8133, 2816, 1231, 3796,
      5011,   40, 4259, 4867, 1377, 3738, 8103, 4203, 5951, 7023,  569, 6796, 5132, 7622, 8116, 4234,
      6028, 1704, 3389, 7550, 7548, 5074,  108, 3417, 4359, 6418, 3406, 3715, 1921, 3892, 5498, 6149,
      7279,  364, 2479, 8030, 6559, 2419, 3267, 4592, 7736, 6840, 1196, 5068, 3982, 2003, 4462, 7794,
      6733, 7251, 6887, 7665, 1575, 7202, 4524, 3730, 4097, 4026,  704, 6619, 6334, 7264, 1132, 7750,
       409, 5441, 4657, 8149, 8060, 6884,  169, 1072, 3703, 1437, 5720,  417, 2970, 4306, 3012, 4366,
      1736, 1554,  195, 7415, 6122,  483,  770, 4650,  928, 3651, 5313, 6106, 5431, 7013, 1605,  387,
      1362, 5649, 3736, 5342,  529, 1926, 2103,   33, 6251, 8170, 3156,  262, 7265, 3802, 6285, 7178,
      4931, 7458, 2480, 3845, 2660, 1149, 3853, 5368, 6258, 7743,  905, 5706, 3357, 6938, 8064, 4344,
      3383, 7468, 5383, 6105, 2988, 3076, 3136, 4038,  354, 6309, 7058, 2437, 5262,   22, 4547, 2723,
      6640, 3485, 6208,  294, 4245,  793, 4558, 3259, 5606, 5468,  398, 6692, 3277,  101, 8112, 6979,
      3061, 7014, 2610, 4380, 3536, 4460, 2805, 4248, 6257, 4996, 5238, 4355, 7092, 5194, 6136, 4686,
      1733, 5569, 6250, 5423, 5719,  146, 3024, 5467, 4538, 5162, 3798, 5692, 4121, 8184, 4112, 7636,
      4353, 3540,  348, 6131,  304, 5644,  117, 2031, 3915, 7621, 6447, 5651, 2619, 6813, 1139, 2735,
      5237, 1307, 1208, 4289, 7285, 4948, 2275, 3984, 4844, 3546,  343, 7408, 3988, 2406,  470, 7604,
      5295,  328, 6802, 4703, 5925, 2632,  911, 6660, 3351, 7717,  537,  777, 5149, 4856, 7529
   },
   {
      7265, 7844,  224, 1130, 1713, 3937, 1397, 2177, 3282, 1710, 3661, 3360, 2449, 6089, 8050, 5061,
      1074, 1391, 5988, 7772, 2042, 4899, 1457, 6167, 2995, 8057, 5174, 2052,  944, 6054,  522, 7750,
      7669, 2832,   86, 3783,  282,  540, 3221, 2958, 1065, 2044, 3771, 7657,  274, 3082,  330, 1853,
      2076, 2182, 1671, 3981, 6213, 1673, 3630, 4912, 1968, 8016, 4498, 3813, 6801, 5258,  122, 4937,
      5523, 1170, 1859, 3581, 3790, 7524, 3511, 8143, 2725, 3456,  354, 4716, 2690,  950, 1354, 2729,
      7284, 7312, 2212, 1621, 8095, 7550, 6758, 1949, 7203, 4802, 2165, 2670, 1021, 3702, 1907, 1845,
      3114, 5041, 3959, 7580, 6816, 5328, 7067, 5561, 3918,  592, 4458, 6040, 7866, 3380, 6864, 1060,
      5462, 3458, 4047, 2374, 3622, 3060,  961,  639, 2964, 8081, 2940, 7789,  781, 2136, 6849, 8070,
      5812,  739, 1622, 6931, 4952, 5136, 5898, 4062,  403, 3362, 1852, 5073,  678, 5166, 5140, 5193,
      4089, 1775, 4597, 5468, 4645, 5579, 4468,  490, 7542, 3451, 7609, 3543, 8040, 4566, 6417, 2961,
      2019, 1995, 4023, 3818,  259, 5467, 1662, 2698,  762, 2661, 5727, 3776, 1416, 1442,  816, 5882,
      2835, 4727, 1333, 5828, 1737, 1163, 5612,  178, 1897, 5859, 7282, 5301, 6489,  159, 3998, 2639,
      1632, 6030, 7538, 2391, 2635, 1630,  747, 2952, 2822,  186, 7883, 2479, 4640, 1217, 5638, 6836,
      5562, 6714, 4177, 6678, 5072, 2920, 3473, 4168,  262, 2267,  347, 1429, 5115, 6765, 6472, 5026,
      6866, 1327, 7879, 4505, 6854, 7696, 1334, 5791, 2023,  737, 7204, 7396, 2577, 2581, 1747, 6382,
       682, 3278,  117, 3270, 3965, 3396, 5483, 7470, 5537, 6403, 1684, 6947, 6891, 6330, 6244
   },
   {
      3592, 3587, 7203, 2054,  313,  700, 3525, 3613, 7788, 7043, 4925, 4579,  709, 3213, 5660, 6494,
      6724, 5313, 7195, 7919, 6279, 3647, 6871, 1270, 3264,  745, 4963, 5225, 6060, 2377, 1822, 2951,
      4468, 8033, 1871, 1836, 7228, 4094, 2219, 2239, 5502, 3261, 1799, 5112, 3974, 2321, 1965, 7997,
      5584, 3942, 5319,    4, 4389, 6729, 2412, 4240, 2793,   95, 2224, 6411, 7362, 3738, 4302, 6934,
      4241, 7050, 2171,  452, 4541,  933, 3561, 7302, 2597, 4824, 4219,  881, 8145, 3011, 6644, 5841,
       922, 4681, 2107,  215, 2511, 3291, 8017, 7758, 6031, 5292, 2081, 6018, 3701,  437, 6051, 7969,
       416, 5985,  356,  619, 5269,  282, 7194, 2697,  503, 2355, 4969, 5839, 4114, 7644, 3308, 7610,
      8133, 4184, 1022, 2768, 1083, 2206, 4383, 6996, 3124, 1009, 3041, 7129, 3892, 7209, 4062, 5024,
      7445, 1856, 1310, 6995, 2611, 2753, 4988, 7115, 5778,  255, 4409, 8117, 2704, 1890, 5215, 7541,
      2541, 4027, 7606,  639, 5266,  892, 3172,  555, 6704, 6317, 4165, 1990, 3566,  681, 7501, 6529,
      6292, 4620, 1174, 8173, 7947, 7732,  556, 6165, 5727, 8152, 1059, 1500, 7842, 6687,  833, 6916,
       716,  664, 2249, 2048, 3590, 2028, 5745, 2079, 7121,  815, 1610, 4729, 5891, 5974, 3065, 5481,
       576, 3429, 3184, 7982, 6398,  929, 1974, 7924, 6882, 1910,  766, 4815, 1294, 5175, 7433, 3165,
      1337,  621, 2741, 5866, 5822, 7728, 7896, 6162, 6136, 2636, 6315, 5827, 6561, 1241, 1092, 5165,
      1911, 5282,   11,  646,  865, 7321, 3622,  489, 6733, 2394, 3925, 7017, 4028,  355, 1769, 4927,
      6805, 1163, 1375,  996, 5801, 2497, 2814, 4630, 3350, 4057, 1181, 8138, 6367, 2346, 4239
   },
   {
      7375, 6366, 2470, 8089,  454, 2881,   38, 1749, 8090, 1775, 6736, 4475, 1444, 1617, 5048, 4943,
      6929, 2681, 6600, 7916,   58, 2685, 6487,  322, 3956, 6559, 7084, 6057, 6755, 4509, 7820, 2332,
      4571, 7189, 6953, 3969, 2378, 2888, 5189, 6138, 5246, 5199, 5326, 1947, 2244, 4288,  329, 1437,
      3342,  508, 4317, 2090, 2200, 2999, 2377, 7467, 1960, 6211, 5658, 6880, 7542, 4687, 5422, 5381,
      3582, 2940, 4895,  634, 5039, 2329, 1808, 1623, 6157, 6768,  493, 6349, 8136, 7324, 2872, 4329,
      7928, 7289, 6160, 5574, 3537, 3627, 3381, 1856, 2272,  473, 5190, 1425, 5854, 4003, 6667,   18,
      4715, 7592, 1363, 1755, 7386, 4998, 7484, 4478, 5214, 3067,  135, 8073, 1225, 6567, 6994, 7726,
      1945, 3066, 5544, 5509, 5153,  951, 5556,  378, 2665, 5148, 7280, 4300, 1289, 5632, 5390, 6573,
      3869, 8037,  131, 6441, 7124, 5686, 6010, 4181,  557, 7495, 4874,  621, 5300, 7888,  204, 4711,
       622, 8013, 6457, 2735, 3713,  645, 5931, 6026, 7965, 7209, 6737, 3039, 5966, 8002, 2560, 1726,
      1940, 1836, 6963, 6394, 4856, 5975,  351, 2403, 7865, 1877, 4081, 2899, 3392, 7787, 7946, 3416,
      4134, 2677, 2117, 2453, 4809, 6008,  570, 1476, 7159, 7805, 3843, 5871, 7371, 5239, 4530, 3330,
      5364, 1065, 7214, 4561, 2191, 3801, 5368, 4216, 8101, 1121, 1381, 5953, 2579, 5389, 1835, 6856,
      5639,  129, 2059,  656, 6321, 3056, 4146, 1971, 3304, 5236, 3086, 2946, 6539, 6970, 7220, 3827,
       213, 4242, 6534, 2321, 7348, 2748, 6359, 5274, 2070, 1232, 1894, 6967, 3062, 1028, 1554, 4855,
      1096, 3404, 5071, 1997, 6228, 1011, 4399, 2337, 7394, 2353,  399, 5631, 3787, 3646, 1786
   },
   {
      5779, 3693, 7368,  863, 4907, 4748, 5479, 5052, 7096, 2664, 6015, 7995, 1627,  971, 7688, 5672,
      1625, 5895, 3857, 6091, 6940, 1253, 6289, 3696, 7543,  644, 7575, 3333, 1499, 4991, 3411, 4833,
      5991, 2895, 5574, 4645, 4808, 5792, 1258, 6669, 6264,  416, 6489, 3350, 1193, 1502, 5730, 2061,
      6252, 4702, 7242, 2540,  222, 2396, 1259, 7333, 3351, 2632, 4310, 1854, 2809, 1248, 1706, 4099,
      6412, 4403, 2646, 1071, 4937, 4221, 5004, 3577, 3489, 2959, 4969,  298, 5076, 6085, 7286, 3478,
      1203, 7891, 3080, 2387, 4070, 3444, 4931, 5990,  221, 1334, 2303, 4624,  220,  314, 1196, 1306,
      2736,  609, 7461, 3584,  941, 3447, 2202, 7420,  216, 4514, 7263, 5893, 1598, 6848,   25, 4541,
      7682, 6664, 3637, 2200,  719, 7969, 5191,  380, 5845,  864, 7226, 6032,  558, 4964, 5648,  400,
      2723, 3428, 7518, 3190, 1921, 7615, 3525, 1741, 7856, 4489, 3279, 1128, 7288, 2976, 3101, 2566,
      6630,   52,  899, 5684,  649, 4509, 1821, 1336, 1960, 4892, 2020, 4520, 3014, 6317,  809, 2393,
      1645, 4269, 6271, 2357, 4051,  735, 3745, 2228,  183, 1300,  100, 5967,  790, 7942, 7300, 3015,
      7731, 2136, 2769, 4365, 1546, 3064, 5416, 6529, 3156, 7539, 5142, 7028, 3880, 5236, 7398, 7284,
      2754, 1301, 8101, 5729, 8021,  698,  653, 1362, 4203, 4119, 2792,  111, 4917, 7315, 1294, 6403,
      5263, 6531, 6163, 7116, 8157, 6869, 1431, 7126, 1308, 7668, 3242, 7862, 5646, 5086, 6584,  919,
       507,  129, 1829, 1636, 2915, 4081, 5436, 6558, 1882, 1915, 3834, 1280, 1717, 3441, 7401, 1351,
      1056, 5384, 6510, 7170,  148, 5154, 7350,  870,   59,  575, 5651, 5847, 7003, 2525, 2451
   },
   {
      4688, 2422, 5790, 2945, 5550, 4994, 7462, 5530, 2332, 4506, 3719, 5806, 1886, 5151, 1070, 2726,
      5533, 5122, 3052, 6961, 1794, 2977, 6994, 3605, 1839,  569, 4650, 7211, 1744, 2885, 8052, 4292,
      2336, 7706, 1786, 1031, 5376, 3292, 7225, 6268, 2327, 1011, 5114, 5343, 8158, 4855,   44, 3252,
      1580, 7931, 8047, 1204, 7263,  554, 1242, 2427, 1621, 2248, 1518, 7819, 3472, 3332, 2450,  989,
      8131,  831, 7347,  274, 5081,  778, 4901, 6436,  278, 5690, 7656, 2639, 4423, 6966, 3491, 2999,
      6589, 7046, 4409, 1330, 1649, 2829, 1991, 5767, 8032,  911, 3293, 5124, 4388, 1398, 3914, 1849,
      3032, 3660,  807, 2320, 4884, 5769, 6460, 5142, 7517, 3701, 6881,  242, 5864, 6175, 5884, 1984,
      4676, 2156, 3096, 6726,  880, 4038, 8088, 5670, 6814, 5041, 7665, 3548, 4454, 5137, 6703, 1998,
      3903, 4275, 4102, 1478, 4215, 2344, 5701, 7398, 2689, 3738,  972,  469, 3222, 1733, 1362, 7955,
      2043, 7456, 4338, 6170, 3299, 1659, 4031, 8147,   82, 2271,   43, 5965, 6673, 5318, 6596, 5805,
      6694, 8150, 4789, 5998, 3437, 6532, 3685, 5330, 6826, 4526, 2147, 6932, 2187, 7625, 2743, 7601,
      5830, 5909, 3039, 4421, 3626, 4708, 2364, 4641, 3574, 8089, 7437, 7727, 7091, 6071, 4174, 7810,
      3514, 4666, 1862, 8091, 3207, 5687, 5171, 4579, 4843, 5731, 4859, 8160, 7095, 2489, 3476,  111,
      6527, 8023,  994, 4401,  629, 6899, 1517, 6221, 3379, 1741,  112, 3905, 5941, 5922, 7946, 6792,
       233, 4444, 7159, 7460, 2727,  845, 6095, 6322, 8104, 2280, 5616, 4975, 2108, 2292, 5552, 3342,
      2056,  390, 8168, 7403, 1755, 6172, 2838, 6166, 8176, 2339, 5417,   81,  884, 4385, 7661
   },
   {
      2910, 8111, 1416, 4087, 7964, 5657, 4330, 2252, 4050, 3297, 3925, 5928, 4483, 1307, 6098, 1703,
       597, 6144, 1011, 2430, 7005, 5436, 8177, 4147, 6492,  674,  389, 1784, 3824, 2845, 3695, 8008,
      4928, 6206,  208, 5558,  246, 1534, 4207, 5087, 3414, 8097, 6646, 5107, 7925, 3529, 4779,  575,
      5747, 3114,  711, 7783, 7014, 7665, 4224, 6316, 7752, 1287, 7186, 8085, 7034, 3609,  191, 5175,
      2495, 7221, 7630, 2339, 4098, 3779, 5589, 1433, 4137, 3520,  371, 2456, 3133, 6644, 1917, 6598,
      2125, 4714, 6050, 8057, 2617, 2572, 1088, 4518, 6272, 6189, 6320, 1279, 5311, 7010,  172, 2770,
      3696, 1910,  768, 5374, 4268,  718, 4399, 5089, 1884, 6642, 4086, 7605, 6278, 4479, 1537, 3081,
      4438, 5756, 6845, 1359, 3710, 1933, 3219,   76, 1918, 2679, 3791, 1483, 6950,  577,  109, 3782,
      4871, 5918, 3336, 7782, 6500, 5352,  635,  195,  219, 2946, 1164, 7212, 6912, 7689, 5232, 8016,
      2432,  820, 2463, 5268, 3810, 4910, 4870, 4243, 5103,  137, 6608,  916, 5763, 5487, 6461, 3452,
       765, 6851, 4048, 2262, 7398, 6698, 3156, 2903, 7608, 3564, 8044, 4692, 2131, 1579, 3450, 7815,
      5713, 2854, 3165, 2037, 3208, 2381, 4462, 6079, 2739, 1712, 1915, 3537, 4984, 7183, 7797, 4290,
      1090, 3642, 7633, 6664, 2830, 4666, 2675, 5839, 1728, 6403, 6177, 1862, 5865, 4459, 5235, 1951,
      2714, 7317, 5554, 5647, 1352, 5287, 2917, 4891, 5871, 4562, 5795, 4362, 6090, 8072,  664,  730,
      2297, 4623,  591, 1209,  283, 2515, 6564, 1042, 2588, 3434, 6298, 1894, 3589, 7023, 3245, 7528,
      6568, 2121, 4672, 3939, 2928,  915,  383, 1911, 6536,  972, 3842, 6187, 7503, 3436, 4452
   },
   {
      4075,  216, 1042, 8018, 4113, 5339, 7341, 6436, 4346,  461, 3475, 1952, 4802, 7225, 1507, 6414,
      3923, 4727, 4281, 2235, 3806, 5145, 6448, 1752,  407, 1015, 1948, 2543, 4784, 1536, 6711, 3347,
      3148,  565, 4598, 7494,  207, 4589, 3455, 1915,  506, 3098, 1031, 5504, 4528, 3350, 6763, 5887,
      6515, 4491, 4987, 6157, 6320, 3811, 7174, 2776, 1194, 3492, 4141, 1465, 8182, 4068, 7642, 4378,
      4982,  286, 7685,   59, 5746, 5250, 2604, 1859,   21, 4877,  502,  680, 7959, 6716,  611, 6789,
      1269,  630, 1557, 1561, 3400, 5835, 7971,  126, 4363, 6016, 4513, 7035, 1985, 5315, 2439, 5787,
      3618, 4024, 2222, 5696, 6199, 1000, 5026, 1877, 4301, 7065, 1092, 7317, 4261, 8034, 1961, 6134,
      1530, 7939, 5547, 5407, 6559, 1381, 1244, 6573, 2969, 1869, 5276, 3428, 2077, 3127, 1481, 7510,
      5380, 4231, 4309, 3357, 5074,    7, 7237, 4079,  433, 7759, 4297, 3515, 6239,  670, 4685, 4867,
      7807, 4048, 5345,   83, 1264, 7503, 1979,  259, 4737,  146, 4223, 3027, 4963, 6107, 7390,  868,
      7129, 6687, 6597, 2695, 6535, 7249, 6186, 6265, 1254, 3815, 8188, 7906, 7556, 4005,  607, 4973,
      1450, 8096, 4326, 7385, 7207, 5483, 7512, 4191,  654, 5295, 4772, 5654, 7226, 2921, 6896, 3634,
      6903,  925,  851, 4170, 1116, 7208, 3456, 1443, 2732,  631, 7144, 1606, 2427, 3118, 2716, 3577,
      5665,  120, 3507, 1168, 6235, 3592, 1098,  113, 1757, 1309, 6292,  659, 6742, 6069, 5945,  698,
      6475,  585, 1650, 5747, 6627, 3034, 2600, 1041,  102,  774, 4033,  505, 2771, 5723,  991, 2927,
       313, 2289, 6444, 3537, 5750, 1197, 7820, 7882, 6334, 3750, 3006, 3675, 7923, 7075, 3819
   },
   {
      2204, 5703, 7715, 2699, 2444,  786, 1029, 7362, 4253, 1015, 6414, 2502, 6846, 5513, 1886, 1214,
      5179,   91, 5441, 4422, 2372, 4657, 3365,  267, 3447, 2983, 6003, 4603, 4301, 6746, 3812, 2773,
      5785, 3100, 5000, 1157, 1846, 1025, 7106, 2225, 2216, 4249, 5094, 1481, 5604,  738, 3344, 3419,
      3342,  918, 1989, 7499, 6867, 3128, 6717, 8058, 5294, 6055, 6532, 2041, 3887, 4827,  595, 1362,
      4728, 6722, 4640,  650, 7247, 5393, 7508, 2429, 1074, 5447, 4196, 7009, 7666, 4703,  200, 3963,
      4892, 7811,  797, 2510, 5389, 6374, 8166, 8050, 6479,  328, 4772,  934, 8106, 6893, 5979, 2224,
      5616,  489, 5573, 2656, 3551, 1443, 1164, 5591, 6851, 5132, 5412, 7153, 2089, 2603, 6935, 1652,
      2346, 5838, 5278, 7196, 5829, 7701, 5334, 3476, 1980, 2818, 3084, 8183, 4677, 6991, 6373, 3475,
      1170,  637,  477, 2997, 4436, 5236, 6270, 3877,  250,  991, 7894,  440, 2363,  272, 1062, 5367,
      7298, 7393, 6772, 7405, 4601, 6857, 2974, 7485, 5560, 1073, 3450, 3588, 7798, 1630, 2616, 2755,
      4161, 5281, 7444, 2990, 6432, 5545, 6115, 3695, 6785, 3756, 4262, 7481, 3155, 2512, 4019, 2506,
      3496, 6443, 6470, 6359, 1721, 4404,  364, 2963, 4440, 7832, 5550, 7810, 6330,  591, 2180, 6992,
      7266, 7344,   68, 5715, 3292,  406, 4759, 6307,  980, 7082, 1831, 3885,  755, 6176, 2219, 1723,
      6046, 1477, 5895,  692, 6520, 4286, 1001, 2962,  111,  371, 5646, 1308, 1625, 1822, 7891, 5118,
      1243, 1683, 6875, 3665, 5171,  837, 3778, 7434, 2038, 7323, 7910, 1286, 5079, 1020, 4386, 5470,
      1500, 3424, 1649, 4906, 8030, 2261, 7354, 2342, 4853, 6587, 2733, 3170, 2588, 2778, 2319
   },
   {
       555, 4688, 1407, 4733, 3087, 5892, 1460, 3262, 6991,  305, 3111, 5564,  826, 2790, 5448,  709,
      4235, 4275, 2012, 6548,  397, 8046, 5698, 6144, 4015, 6093, 5583, 8147,  399, 2948, 5299, 4343,
      1696, 8114, 6136, 8143, 1740, 2196, 7680, 3508, 3708, 3934, 3906, 5548, 6375, 1162, 3462, 6728,
      7520, 5351, 2709, 2814, 6798, 2142, 5466, 2567, 5898,  511, 7281, 7423, 2895, 7882, 3855, 2154,
      6166, 3245, 5221, 1858, 4524, 3370, 4245, 6198, 7765,  927, 3412, 5525, 2019, 5219, 2072, 6917,
      3645, 6840, 7409, 4604, 1311, 3007, 7170, 6606, 2280, 6616, 2421, 6011, 7996, 1398, 7323, 6248,
      3429, 2423, 2637, 6727, 3122, 1068,  543, 3775,  919,  488, 3365,  135, 1170, 1316, 3029, 4381,
      2021,  641,  366, 3999, 1330, 1611, 4680, 3959, 6050, 4182, 6653, 6711, 2681, 7329, 2943, 2964,
      7489, 4414, 5958, 7258, 2501, 1385, 4248,  368, 2833, 7178,  712,  570, 6979,  527, 7886, 7777,
      1934, 7707, 3498,  606, 7239, 2111, 5906, 1633, 5398, 2427, 3592, 3705, 3125, 3904,  484,  377,
      8103, 2782, 6477, 5636,  930, 1952,  611, 5522,  381, 5483, 5667, 2062,  909, 4906, 4743, 3745,
      5954, 4220, 5431, 8098, 6925, 5714, 5835, 2603, 3539,  968, 1841, 2689, 7516, 4402, 4912, 3781,
      3292, 4213, 3235, 7101, 4258, 7618, 6743,  364, 3416, 3110, 5032,  183, 1928, 7050, 7368, 1140,
      2242,  159, 1844, 6864, 4296, 3434, 7392, 3752, 3512, 1139, 3480, 3236, 6983, 7195, 4250, 6938,
      3284, 3838, 1894,  905, 6878, 3403, 5996, 7676,  654,  411, 6645, 4893, 5785, 2183, 8186, 5617,
      5822,  303, 6262, 1940, 5303, 4044, 1751, 1158, 2797, 1986,  747, 3281, 7932, 1029, 8006
   },
   {
      5750, 5584, 5896, 6971,  603, 2030, 5444,  467, 2962, 1654, 2748, 2223, 3482, 1688, 6942, 5127,
      3476, 7066, 3702, 6596, 7517, 4676, 5271, 2485,  939, 5519, 2473, 1434, 6371, 5677, 6994, 3668,
      4274, 1323, 6788, 2351, 8184, 2084, 2259, 3964, 3829, 6335, 2382, 2397, 3860, 2712, 5889,  633,
      1114, 5967, 3094, 5179, 2107, 3486, 1804, 1383, 7437, 4784,  140, 1607, 6302, 6232, 1113, 2227,
       271, 5151,   90, 7403, 4129, 3796,  149, 3065, 2906, 8020,  769, 1517, 3897,  568, 1417, 4735,
      4847, 6880, 7990, 7988, 2975, 3329, 4732, 5547, 5503, 3053, 7060,  619, 7381, 5219, 5736, 2571,
      2603, 1225, 6899, 7535, 3650, 2903, 6480, 5722, 6150, 2744, 6567,  643, 4362, 6541,   91,  264,
      5075, 4427, 1169, 4338, 2506, 5007,  986, 1447, 2918, 3193, 6627,  704, 5501,  564, 1076, 3055,
      2875, 7478, 2757, 7691, 3297, 6372, 1997, 2564, 6305, 3592, 4160, 6360, 2858, 3056, 7046, 6770,
      7418, 1179, 4491, 1419, 4542, 3735, 2361, 5814, 2229, 7280, 1877, 2139, 4530, 4502, 2696, 4582,
      4795, 4203, 3326, 2224, 5032, 3554, 5340, 8165, 3726, 6139, 5939,   17, 6760, 4298, 1083, 6443,
      4049, 4425, 5664, 2913, 7901, 2854, 1162, 5953,  479, 2287, 6635, 2662, 7778, 2785,   44, 4092,
      7088, 3016, 6330, 2576, 4412, 5747, 4595, 7960, 4909, 4987, 3217, 3818, 1955, 3145, 4667, 3090,
      3537, 3166, 6650, 1041,  996, 8033,  229, 6258, 6817,  395, 3134, 1633, 2861,   24,  989, 8081,
       103,  460, 5709, 3027, 2407, 2420, 1127, 6786, 2692, 1648, 4742, 2814, 3888, 5622, 5948, 6592,
      1951, 6904, 3744, 2496, 7320, 2563,  651, 3397, 2202, 5167, 7644, 7993, 6930, 3317, 1397
   },
   {
      7442, 4553, 3358,  970, 3202,  303,  593, 3340, 2143, 6924, 5463, 5323, 7485, 3304,  100, 6478,
      1680, 6035, 7841, 2360, 5923, 2193, 2468, 6133, 6908, 6833, 7438, 4031, 2815, 2482, 1306, 3609,
      4187, 5861, 3113, 3516, 4501, 3841, 1840, 5609, 3032,  764, 5940, 6438,  896, 7525, 5500,  657,
      3789, 7585, 2792, 7932, 3541, 8162,  546,   98, 7889, 2535, 7692, 3502, 7839, 6587, 6429, 6710,
      6052, 2463, 3331, 1669, 5950,  693,  815, 6915, 4245, 1331, 2533, 5742, 1075, 5860, 4176, 3921,
       455, 4701, 5813, 2038,  774, 6025, 4216, 7714, 7030,  258,  239, 3064, 7470,  581, 3186, 2365,
      6473, 6273, 5030, 2004,  645, 1368, 4388, 6787, 5907, 6322, 3290, 6334, 1645,  113, 3401, 4696,
      7554, 5823, 4101, 7145, 7544, 3887, 7350, 5517, 7317, 1173, 1509, 6849, 1152, 3646, 4739,  793,
      3769, 3352, 8078, 1134, 3507, 2561, 3952, 5049, 5460, 2231, 4909, 7723, 1658, 6699, 2169, 4491,
      6350, 6621, 5592, 6978, 6811, 2691, 2159, 2312, 2108,  386, 5732, 6796,  126, 2702, 3110, 2596,
       254, 5108,  419, 4291, 5989, 1568, 2180, 3240, 4126, 2269, 1760, 6340, 5801, 6784, 6324, 7737,
       794, 7450, 3719, 2921, 4465, 1010,  338, 3343, 2190, 1147, 5698, 4181,  553, 6279, 3407, 6287,
      7996, 6462, 1394, 5301, 4470, 2076, 5596,  195, 4506,  835, 5890,  680, 1235, 3478, 7658, 5382,
      7831, 1122, 4774, 2224, 3346, 5289, 6535, 2151, 4235, 5438, 5992, 2697, 7384, 3896, 7639,  458,
       161,  588, 4016, 3051, 7161, 6081, 1922, 7213, 8053, 1174, 7872, 7283, 1391, 2341, 5490, 1277,
      5512, 6013, 2390, 3148, 7747, 6040, 8001, 6076, 7259, 2198, 6370, 6479,  420, 3575, 2270
   },
   {
       768, 1992, 6002, 5358, 7567, 6218, 4505,  194,  838, 3281,  427, 5819, 1437, 2267, 7018, 3862,
      6225, 7080, 2467, 3157, 3113, 3420, 7828, 5197, 3600, 6022,   51,  827,  287, 2823, 7381,  432,
      2837, 4257, 3107, 7524, 7911,  627, 1796, 2603, 6066, 2122, 5999, 6744, 4114, 3334, 6688, 4378,
      8081, 6390, 1002, 2237, 4586, 7939, 7995,  675, 6187, 4359, 5537, 1657, 6834, 4567, 1877, 6463,
      1844, 1252, 4343, 5288, 7346, 5189, 4354,  479, 6906, 2482, 7775, 3206, 1909,   85, 3006,  609,
      6999, 7533, 2189, 4542,  154, 7126, 7253, 5147, 4273, 8067, 6859, 4834, 3793, 8031, 7434, 2862,
      7883, 4073, 7163, 6925, 7607, 2905, 4439, 6393, 2805, 2674, 2154, 7283, 1837, 6759, 3772, 7643,
      5018, 4311, 7245, 3854,  478, 2434, 2808, 3616, 6724, 2341, 6808, 6448, 1970, 5194, 7795, 5886,
       300,   47, 4029, 3244, 4117, 7535, 1527, 4427, 4383, 7985, 5125,  337, 4713, 6815, 2116, 3019,
      6159, 8044, 6379, 1381, 3091, 2209,  397, 4405, 4461, 4267, 7854, 5114, 4424, 4057, 1531, 7700,
      2140, 7170, 6802, 7359, 5324, 3661, 4708, 2354,  361, 3421, 4137, 3988, 4133, 3058, 3267, 4693,
      2118, 5399, 7231, 2291,  134, 7780, 6522, 4429, 1649, 1265, 3638, 2114, 6949, 5373, 1228, 2952,
      7378, 4778,  212, 6879, 6184, 2544, 6091, 2005, 4004, 2538, 4519, 2206, 2615, 7811,  759, 3092,
      4283, 6241, 6758, 7598, 3239, 1917, 4839, 2957, 5946, 8068, 5775, 4388, 2323, 4794, 3099, 1974,
       608, 3496, 2746, 4822, 3967, 7211,  871, 5850,  433, 6320, 1696, 1005, 5702, 5643, 2463, 4442,
      1203, 5766, 5410, 7342, 7278, 2866, 3108, 2204, 1062,  900, 7483, 6791, 4194, 6403, 1557
   },
   {
      5414, 6131,  419, 5543, 2670, 3939,  443, 1959, 5985, 4524, 1167, 6558,  856, 7994,  270,  425,
      7048, 5331, 6092, 5591, 5801, 6481,  868, 2647, 4639, 3194, 2020,  222, 4180,  301,  207, 2345,
      4987, 4852, 5043, 6084, 6825, 7643,  186, 4909, 7481, 4926, 2663, 6952, 2196, 1162, 5116, 5169,
      1490, 7735, 1974, 6903,  913, 5217, 7117, 6261, 4708, 7365,  768, 4013, 4642, 1773, 6679, 2895,
      6453, 2549, 6637, 6189, 3134, 5028, 3648,  593, 2934, 2232, 4988, 7233, 2509, 2846,  911, 6486,
      4078, 2388, 6196, 5818, 6346, 2034, 3697, 6734, 2761, 6774, 2531, 4950, 2364, 3356, 1760, 6760,
      5251, 2589, 4029, 6592, 1885, 6945, 5301, 2088, 5982, 3029,  139, 3287,  272, 5207,  464, 4848,
      4633, 2830,  243, 6225, 6691, 5056, 1039,  954, 1445, 2406, 7391, 3478, 7043, 6177,  435,  925,
      2851, 1871, 7160, 3777, 5964, 6703, 6867, 1134, 7719, 4161, 7456, 5810, 3875, 7671, 3215, 6393,
      4132,  941,  894, 4516, 6264, 6155, 7036, 1962,  344, 6611, 3035,  546, 8158,  845, 4238, 6098,
      3292, 1488, 1612, 5897, 8045, 2171, 4550, 5282, 6926,  581, 4692, 5817, 1069, 1767, 4002, 8104,
      7596,   93, 2847, 7819, 6545, 1731, 5918,  579, 6919, 2347, 7167, 3080, 4003, 2124, 4592,  236,
      2105, 3135, 7149, 5347, 4972, 4421, 3514, 5200,  413, 5585, 4399, 7460, 7399, 4727, 4050,  148,
      7330, 3089, 6603, 3036, 6552, 1657, 7155, 6194, 3404, 2932,  312,  118, 1850, 2284, 7106, 1255,
      7301, 6069, 1886, 7644, 7088, 6675, 5470, 2313, 1634,  521, 3256, 3253, 1860,  196, 3099,   75,
      4112, 4138, 7591, 7437, 3553, 8080,  995, 7225,  244, 5104, 6318, 4393, 4450, 8013, 6516
   },
   {
      2954, 4208, 3248, 8118,  156, 3864, 2891, 4668, 5084, 4504, 1913,  408, 7635, 6948, 5954, 6456,
      3820, 1519, 1276, 5162, 6722, 1452, 7617, 5771, 7369, 7335,  950, 3591,  762, 2941,  108, 5717,
      8066,  795, 4813, 5017, 5202, 1868, 1049, 7850,  662, 8132, 3451, 2064, 4640, 4766, 3546, 3665,
      1287, 2672, 3197,  677, 6529, 3802, 6749, 5589, 1500, 1555, 2060, 3897, 7835, 7383,  984, 4177,
      2183, 1386,  406, 5958, 3069, 5761, 2027, 7107, 6876, 7565, 1036, 1007, 3701, 4371, 2059, 4373,
      3788, 4729, 7793, 1224, 1678, 7102, 2855, 5455,  896, 6047, 3984, 6975,  249, 5172, 7040, 2402,
      6870, 7639,   38,  212,  819, 2353, 7811,  255, 4571, 5701,  754, 4888, 3124, 7492, 4560, 5854,
      1418, 2139, 6379, 5193,  840, 5092, 7387, 4283, 4973, 2274, 3425,  589, 7568, 4716, 3971, 5295,
      1298, 3061, 7986, 4135, 1002,  182, 1773, 3498, 5581,  143, 5356, 1971, 2867, 3685, 2202, 7746,
      6327, 6665, 3962, 4876, 7757, 5809, 7562, 2605, 7422, 4751, 2708,  433, 6162, 2396, 5596, 5472,
      3142, 5712, 3184, 7618, 1205, 8181, 7418, 4138, 7187, 6504, 3995, 7149, 1721, 5218, 7181, 4543,
      6380, 5630, 2950, 1255, 4911, 1700, 1086, 7901, 5088, 3814,  325, 4772, 6643, 2509, 1271,   37,
      5337, 4257, 5050, 7578, 6150, 3503, 1430, 7379, 5024, 6455, 8154, 7425, 3399, 1572, 5826, 3051,
      1883, 8092, 7611, 2254, 5400,  812,  934,  927, 3885,  884, 4714, 3364, 5267, 4077, 4417, 3490,
      6663, 6969, 3225, 6775, 3922, 4496, 1256,  367, 2658, 6046, 7584, 1854, 3875, 3101, 4240, 1687,
      4214, 3994, 3739, 1581, 7612, 4506, 5709, 6569,  672, 7372, 5494,  457, 2860, 4878, 3167
   },
   {
      7727, 7729, 6621, 6837, 4752,  110, 3355, 7915,  136, 7183,  158, 4769,  743, 1835, 7541, 1773,
       400, 5144, 4772,  905, 1741, 6747, 7232, 2433, 6274, 6581, 7453, 5203, 2928, 7151, 2277, 1061,
       455, 5588, 6842,  142, 4777, 6071, 5176,  542, 4748, 4549,  757, 5691,  889, 2935, 4109, 4383,
      5037, 7114, 2357, 5745, 4728, 1192, 4084,  315, 1782, 2344, 1815,  569, 4462, 6222, 3039,  133,
      6781,  826, 7872, 1442, 7897,  403, 1756,  626, 3091, 3649, 4332, 4505, 6190, 4704, 4238, 2991,
      3407,  293, 3985, 7517, 7467, 5609,  276, 4876, 5163,  442, 2579,  964, 1624, 5969, 5273, 1258,
      7193,  927, 7408, 4149, 1687, 2505, 2578, 6751, 5068,  395, 4621, 5093, 5581, 4375, 1631, 2576,
      6753, 4572, 7139,  700, 1811, 6060, 6741, 3827, 6671, 4194, 5025, 5233,  890, 3519,  574, 2736,
      3302, 6834, 6188,  473, 3506, 5396, 3376, 2998, 5423, 5028, 2423, 2113, 2527, 1936, 7177, 7155,
      2121, 6549, 8116, 5768, 5338, 1491, 3024, 3327, 2882, 2177,  580, 6857, 3249, 4807, 6506, 7832,
      5679, 5589, 4659, 3318, 3074, 5258, 5785, 1900, 7236, 2500, 7379, 6607,  649,  858, 3184, 7910,
      1374, 5130, 1884, 3069, 5641, 5862, 6469, 2187, 7267, 4451, 1925, 8166, 4911, 7462, 1717, 1564,
      7250, 5175, 7315, 3881,  176, 1897,   39, 1342, 7883, 1664, 6853, 3890, 4164, 4646, 5213, 2393,
      4637, 2082, 4649, 3053,  847, 1981, 6026, 1024,  294, 2062, 6465, 4401, 5681, 2492, 8120, 6191,
      1354, 7791, 2023, 4885, 4971, 2643, 1295, 1312, 5796, 2270, 7280, 7693, 7449, 2714, 1995, 4805,
       325,  980, 7926,  813, 6376, 3860, 1109, 7924, 5151, 7782, 2401, 1696, 4600, 6766, 6938
   },
   {
      6750, 4771, 4036, 4438, 4982,  990, 7172, 5451, 6141, 2361, 4158, 1187, 7107, 6150, 4700, 4976,
      6596, 4845, 3136, 4274, 7406, 1730, 4945, 6799, 7550, 3494, 1192, 3441, 1485, 1314, 7196, 6877,
      1298, 6100, 4327, 1501, 6994,  926,  521, 1269, 7414, 7677, 8047, 4201, 3146, 1561, 3648, 5589,
       659,  242, 2344,  348, 6949, 4989, 5634, 5938, 7613, 6505, 4446, 1661, 3282, 6194, 5415, 7125,
       271,  956, 1053, 3949, 4787, 2917, 1885, 4967, 8078, 7964, 4919, 1752, 5957, 3611, 2103, 5715,
      2982, 2714, 5120, 3565, 2259, 5910, 2285,  703, 2143, 5019, 4914, 3484, 4495, 3424, 2142, 2688,
      6753, 2444, 2746, 1811, 5485, 4030, 8036, 3359, 7581, 3335, 5080,  911, 6221, 4569, 3870, 4406,
      3763, 5577, 1851, 1400, 1977, 4959, 4277, 3868, 5756, 1892, 6990, 3974, 5601,  356, 7703, 5618,
      2468, 3911, 2806, 1503, 6190, 4012, 3157, 2396, 6761, 6714,  742,  922, 5098, 3969, 1130, 1618,
      3029, 3291, 5681, 3338,  159, 2800,  769, 1182, 3703, 5944, 5081, 8166, 1820, 2053, 2646, 3110,
      4123,  138, 1991, 1893, 2890,  929, 2972, 4326, 5898,  950, 6979, 5409, 3132, 1349, 7697, 7545,
      4301, 6703, 2009,  501, 7864, 1835, 4719, 2409, 1452, 1387, 7995, 3256, 7563,  308, 1763, 2909,
      4735, 7561,  694, 4768, 2594, 5460, 1938, 5856, 4090, 6770,  741, 7281,  792, 1052, 3695,  550,
       426, 5550,  948,  932, 3158, 4290, 5986, 3795, 4125, 4509, 2416, 7083,  576,  964, 6800, 5093,
      5026, 1197, 1585, 2220, 7415, 4097,  378, 7557, 1608, 4848, 5455,  489, 2684,  244, 4817, 4906,
      7709, 3742, 1895, 4155, 6211,  615, 5371, 3202, 1799, 7687, 6568, 4753, 4169, 6291, 6470
   },
   {
      6459, 7215,  886, 2689, 6882, 2640,  974, 8185, 7160, 3587, 5477, 7572, 4510, 6811, 5972, 2735,
      7818,  981, 7417, 3413, 2624, 6128, 7999, 4194,  944, 6051, 6632, 4000, 8109,   53, 3439, 2493,
      4005,  577, 1227, 2863, 1789, 4355, 6188, 6216, 2263, 3008, 3658, 2555, 7721, 7128, 1622, 1424,
      4124, 5678, 6596, 6496, 4067, 7039, 1242, 5581, 5988, 5743, 2578, 3560, 8070, 2210,  157, 3995,
      4991, 5349, 6734, 2086, 2616, 4666, 5030, 4422, 3928, 5629, 1669, 1368, 6814, 4822, 1753, 5892,
       614, 2346, 6410,  965, 6084, 6648, 4871, 1133, 5216, 2261, 7462, 5237, 1982, 2522, 6834, 2785,
      2409, 1627,  230, 2628, 3923, 6369, 3258, 7664,  990, 6206, 7775,  935, 7011, 7980, 2713, 7660,
      7537, 3712, 4996, 1895, 5527,  484, 6294, 3134, 1393, 2207, 7520, 3424, 4625, 8103, 8027, 3269,
      5371, 8056, 1871, 3395, 3936, 7034, 6862,  351, 7369, 4908,  602, 6956, 6095,  922,  567, 6658,
      5686, 1776,  212, 1559, 4475, 1047,  393, 2176, 1567,    8, 8016, 7997, 2230, 2658, 2805, 3029,
      3567, 2299, 2977,  994,   35, 3490, 3114, 1267, 6840,  261, 4920, 4821, 7006, 3118, 7236, 5271,
      1217, 2601, 5345, 6337, 3569, 7197, 2457, 3698, 4265, 4002, 2516, 5234,  208, 4611, 5672,  169,
      2364,    1,  142, 3523, 5845, 8007, 1268, 6608, 1331, 7380,   44, 7740, 2680, 6586,  865, 5380,
       325, 7273, 7454, 2733, 6038, 1994, 1605, 7057,  784, 7196,  930,  461, 7464, 5121, 5980, 5201,
      5700, 3655, 5823, 7921, 1073, 3816, 4335, 3619, 2669, 1491,  369, 8132, 1186, 5537, 5991, 7628,
      6298, 5258, 6757, 2187, 1157, 6184, 1283, 6546, 1922, 3459, 5364, 4774, 7007, 5558, 2839
   },
   {
      2726, 4682, 2735, 5670, 1723, 7650, 3062, 2946, 4297, 5317, 7940, 1471, 2049, 4849, 3367, 3248,
      3493, 7695, 6156, 4668, 2904, 2118, 3109, 1733, 1888, 1883, 5980, 6598, 2832, 6578, 6426, 1363,
       415, 6053, 2115, 7456, 6060, 7853, 5436, 1376, 8161, 7360, 3726, 4513, 2959, 4920, 6057, 7759,
      6679, 5698, 7438, 5149, 4470, 4692, 8087, 3775, 8039,  932, 2419, 7426, 7663,  908, 1092, 2692,
      3555, 5359, 7331,  287,  251, 6292, 5473, 5418, 4449,  409, 6511, 2510, 6536, 1523, 3229, 6207,
       186, 7619,  301, 4558,  991, 6288, 1348, 5639, 7986, 5376, 3703, 7749, 2649, 3178, 1218, 7679,
       401, 2549, 5897,   79, 2042, 6154, 2505, 3421,  575, 3537, 5993, 3224, 8140, 5218, 6382, 6111,
      5508, 6432, 1386, 2518, 2861, 7954, 6325,  931, 1646, 2771, 1043, 1331, 6709, 2523, 5414, 7237,
      6658, 6959, 6537,  942, 3549, 4705, 5469, 2600, 7122, 4108, 8034, 5688, 5724, 4064, 1987, 1281,
      7009, 7889, 2434, 5538, 3862, 7702, 1233, 3583, 2192, 5516, 7703, 4437, 1288, 8129, 1086, 2608,
      5569, 1605, 7417, 7995, 4889,  962, 5312, 2611, 3776, 5086, 1901, 2292, 6752, 2666,  810, 2212,
      3327,  651, 5411,   85, 3865, 6817, 5498, 6729, 5830, 7997, 8002, 3687, 4240, 5230, 1162, 4331,
      7727, 1622, 3992, 3911, 4636, 2831, 1373,  457, 4372, 3049, 2713, 5637, 2305, 5864,  192, 6539,
      2298, 2281, 2225, 1797, 3685, 1761, 4947, 2662, 8007, 3186, 1301, 5458,  800, 3795, 7765, 2117,
      2734, 6152, 3079, 7976, 2401, 2300, 3267, 2748, 1715, 6073, 5009, 4081, 6764, 7049, 3531,  717,
      3300, 3837, 6167, 2365, 1536, 5160, 2465, 6128, 7590, 5484, 1918, 3084, 5767, 3912, 6753
   },
   {
      7304, 7902, 6630,  958, 5963, 1552, 1768, 3394, 3756, 3316, 2190, 2674, 3475,  390, 1438, 1815,
      6227, 1885, 7869, 3593, 4824, 4059, 6469, 4211, 6503,  285, 4442, 5408, 5070, 7096,  913, 3847,
      5596,  164, 5080, 4490, 1241, 7093, 8127,  435, 2653, 6104, 4788, 1284, 7779, 6205, 4013, 7221,
      2522, 6270, 2592, 7348,  419, 3280, 4646, 1739, 7478, 5144, 1953, 6488, 6144, 1764, 4962,  621,
      4723, 3146, 3261, 4687,  513,  606,  143, 3703, 2942, 6317, 5490, 1065, 7552, 3053, 7978, 7486,
      5503, 3296, 5895, 2323, 1869, 1776, 8156,  553, 5161, 7204, 5074, 4647, 5786, 7169,  250, 3905,
      2191, 8097, 4756, 3939, 1094, 6255,  995,  450, 1744, 7182,  989, 8161,  485, 6722,  756, 7919,
      7042, 2510, 8151,  965, 6099, 6341, 3153,  854, 3993,  334, 3536, 5759, 1870, 5707, 1763, 4926,
      1653, 4760,  329, 1598, 7875, 7827, 7449, 1672, 4192,  983, 5829, 5136, 4011, 2665,  298, 1735,
      1803, 7581, 4331, 7310, 2386,  752,  600, 2083, 7071, 1716,  985, 5327, 6098, 1528, 8118, 1490,
      2119, 3491, 5308, 4349, 2440, 1262, 8075, 8066, 7504, 3205, 1949,  244, 4019, 3085, 5798, 3508,
      3480, 6515, 7361, 1047, 4446,  178, 6931, 7054, 6697, 4140, 6809, 4259, 7556, 4599, 5842, 7327,
      3806, 5906, 3181,  117, 7531, 7101, 3524, 3872, 2335, 5790, 4482, 2005, 2622, 6618, 8030, 7013,
      4126,  132, 4134, 4655, 6403, 5544, 6292, 7976, 3269, 7904, 5698, 5518,  453, 4024,  773, 6609,
       196,  929, 5398, 7231, 2795, 7915, 5497, 2482, 2986, 3301, 1960, 2584, 6717, 4232, 1731, 7844,
      1193, 5012, 6111, 1981,  345, 1754,  729, 6114, 2934, 8152, 5549, 5573, 1392, 1154, 5546
   },
   {
      3544, 3410, 3548,  641, 7065,  849, 5020,  523, 4421, 6906, 4279, 6942, 5850, 6994, 6995, 3064,
      3017, 7715,  471, 7040,  693, 5800, 1820, 1210, 6975,  436, 4954, 6591, 6696, 1463, 2313, 4166,
      6415, 2822, 2158, 3942, 6928, 4804, 1593,  593, 1003, 4118, 1917, 6330, 6827, 1464, 4011, 7595,
      4493, 7517, 4495, 1023, 5657, 3345, 3335, 6761, 8140, 2986, 6350,  666, 1832, 4779, 7584, 5709,
      4803, 4887, 1665, 4155, 5891, 5001, 7784, 6886,  733, 5599, 3808, 2189, 6398,  492, 2266, 2141,
      7079, 2956, 7266, 7863,  654, 1559, 5975, 7862, 8098, 2827, 6736,  357, 6438, 6713, 7263, 4240,
      3639, 7753, 3872, 4855, 2334, 4381, 7178, 7769, 5856, 2494, 7474, 7199, 7929,  822, 3907, 1712,
      2799, 4194, 5734,  642, 3090, 6837, 7800, 2719, 7260,  254, 6564, 5229, 2388, 4602, 4721, 6619,
      5627,  679, 2198, 7215, 2995, 2128, 4562, 3523, 4587, 7073, 3253, 1990, 4026, 3928, 1517, 5223,
      4473, 1638, 4303, 1494, 4600,  244, 8095,  745,  835, 4959, 3785, 3978, 5398, 1415, 3129, 6018,
      4054, 4781, 4340, 2998,   50, 6303, 7298,  235, 6104, 6812, 5280, 4121, 3034, 5400, 6028, 7354,
      4977, 1566, 6361, 7606, 6064, 6283,  896,   97, 3671, 4511, 3451, 4470, 1391, 7249, 1670, 7381,
      6161, 1931, 3085, 7974,  399, 2568, 1420, 4981,  834, 7396, 4241, 7254, 2275, 7448, 5441, 3273,
      4750, 3283, 2252, 3331, 6824, 6490, 4015, 5176, 1485, 2351, 6138, 7470, 2281, 4706, 4067,  155,
      7323, 7560,  663, 4918, 4496, 6675, 1696, 3059, 3701, 2394, 1720, 7322,  270, 5255, 2612,  172,
      2047, 2124, 6652, 7887, 5099, 5343,  156, 5991, 4180, 1647, 2988, 7708, 3430, 3857, 2192
   },
   {
      8078, 3680, 3862, 7150, 4279, 1655, 3424, 1982,  817, 3872, 2693, 2120, 2484, 5479, 3843, 7485,
      5153,  993, 3349, 1632,  645, 4977,  388, 2867,  236, 2347,  290, 5789, 1666, 5444, 2921, 1667,
      3807, 7668, 2644, 6967, 7017,  685, 1388, 4285, 8132, 4676, 8117, 4739, 6703, 4833, 7400, 4324,
      2722, 1551, 4388, 1682, 7970, 7196, 7651, 1460, 1015,  103, 5258, 1561, 5205, 5739,  951, 4412,
      4973, 3840, 4716,  881, 7798, 1035, 4483, 4622, 4670, 1110, 5715, 4466, 6092, 5505, 2806, 6794,
      4880, 1941, 1738, 2008, 4183, 4549,  748, 5504, 2838, 7989, 2625,  184, 3470, 2280, 6121, 7249,
      7557, 2168,   99, 3777, 6455, 6205, 1360, 2896, 2741, 1838,  359, 5244,  409, 5610, 1703, 7578,
      5256, 5226, 4764, 7238, 3920, 6885, 5804, 1239, 6793, 1081, 7038, 7590, 6949, 7606, 3471, 2266,
       684, 3966, 6764, 7958, 5216, 1720, 3797, 5644, 3615, 3979, 7545, 1310, 3483, 7601, 2740, 7398,
      5752,  213, 6588, 2756, 7389, 4593,  806, 4971, 2635, 5915, 6958, 1082,  559, 7106, 2135, 2015,
      6158,  204, 3155, 7548, 7951, 5107, 6594, 3525, 5122, 7223, 1186, 4675, 6690, 5483, 4049, 3839,
      5580, 1318, 8156,  572, 4862, 6046, 7640, 3687, 4542, 7236, 4686, 2875, 5075,  786, 2268, 5998,
      7429, 5734, 3213, 5021,  891, 1165,  854, 4495, 7132, 1455,  922,  634, 2865, 7627, 7160, 5032,
      2852, 8114, 8174, 5684, 1994, 4582, 1283, 5898, 6699, 1547, 6231, 1488, 4612, 1273, 7883, 5513,
       153, 3712, 7097, 2386, 3221, 7710, 8105, 2749, 8045, 1534, 1855, 4227, 5856, 6152, 5370, 2886,
      5594, 6008, 6620,  292,  269, 6801, 6111, 3123, 5601, 1649, 2808,  293,   74,  655, 3344
   },
   {
      6124, 1986, 4344,   47, 5574, 7638,   97, 4757, 7348, 4442, 3012, 5456, 7114, 2381, 5670, 5235,
      7982, 2805, 1463, 7279, 7482, 4748, 5396, 6780, 7804, 1036, 3841,  801,  775, 1813,  354, 2401,
      8164, 7725,  743, 2228, 6017, 6851, 6772, 2000, 5678, 7769, 5210, 3663, 1549, 2215, 4861, 1402,
      3649, 2278, 4932, 6162,  513,   57, 3653, 7104, 6966, 6334, 8117, 7927, 5492, 7856, 3837,  193,
      5855, 7626, 6168, 3246, 1164, 4284, 3529, 4188, 4469, 6673, 4641, 2100, 1046, 6122, 3582, 3230,
      7330, 5083, 7908, 1606, 5284, 4649, 7844, 6117, 6833, 6666, 6228,  805, 5789, 3873, 1205, 6395,
      3273, 7763, 2551,  868, 6761, 4283, 5618, 4267, 2894, 8141, 7396, 6253,  619, 2104, 3583, 5956,
      6637,  745, 1197, 6838, 5021, 7764, 3005, 2762, 3139, 5534, 1429, 6817,  151, 1038, 4551, 6878,
      4101, 3702, 3690,  653, 7344,  913,  482,  550, 2395, 7712, 1011, 5619, 5076, 5450, 2308, 1717,
      7494, 5694, 3299, 3130, 6464, 2697, 4834,  758, 4591, 7922, 6775, 3846, 2213, 3534, 2555, 6578,
      7391, 4753, 6955, 7116, 7579, 2066, 7498, 7432, 4634, 5159, 2704,  752, 4035, 5154, 7061, 3795,
      3023, 8106, 3604, 5506, 4580,  999, 4601, 3808, 5788, 5085, 5752, 6478, 5376, 1560, 1433, 4256,
      7314, 4773, 5372, 1905, 5649, 7371, 5795, 6300, 3164, 1031, 2113, 3032, 6004, 1656, 5250, 6225,
      3104, 4051, 6811, 3555,  956, 5155, 4465,  378, 5869, 5137, 7888, 5550, 1612, 6616, 6450, 6973,
       528, 6074, 1252, 6386, 1520, 2907, 2034, 5730, 4122, 2419, 3866,  592,  463, 2782, 6711, 4643,
       309, 2512, 2920, 2982, 4203, 7426, 7245, 3510, 6895, 4548, 2240, 1248, 1753, 1945, 2450
   },
   {
      1836, 8106, 1505, 2802, 5592, 4934, 4893, 3044, 6960, 6324, 2160, 1748, 3731, 2124, 3038, 4497,
      6063,  748, 3625, 5246, 2231, 7997,  792, 2831, 7015, 3472, 3806, 3504,  232, 7247,  566, 4881,
       292, 7812, 2103, 5751, 6237,  876, 3457, 7664, 7628, 7712, 5527, 1916, 1546, 2563, 3075, 7361,
       780, 6069, 4910, 5483, 1923, 7287, 2744, 5709, 4020, 5446,  520, 7409, 6851, 6699, 6479, 5856,
      4819, 7833, 4162, 2760, 5121, 8001, 7194, 5192, 1649, 5728, 1573, 7070,  573, 3765, 4468, 3355,
      3205, 7366, 4040,  270, 1455, 1303, 1341, 2232, 5739,  670, 1112, 5542, 2388, 4117, 7431, 4453,
      5647, 6488, 7171, 2201, 4608, 7003, 2115, 2510, 7429, 3218, 3892, 1871,  807, 4051, 7650, 3926,
      2787, 2481, 7638,  316, 4450,  700, 6224, 5464, 5746, 2049, 1043, 2206, 5223, 6909, 3395, 5217,
      3784, 7739, 1444, 7850, 4431,  143, 1039, 5850, 3840, 4726, 2980, 6112, 7370, 1980, 4414, 4961,
      7734, 2535, 1092, 8075, 1790, 5954, 6815, 5565, 4777, 2623, 4790, 3790, 3450,  537, 5276, 4341,
      5566, 3297, 4113, 2601, 3050, 2114, 6088, 2956, 8064,  707, 6669, 2138, 6861,  271, 3211, 3005,
      4797, 7404, 5238, 5307,  431, 5624, 7391, 6827, 4214, 3621, 7662,  164, 6402, 1235, 5581, 2564,
      6141, 8180, 2896, 6111, 2044, 5224, 6031, 6612, 7419, 1273, 7183, 6083, 5066, 4230,  760, 4332,
      4496, 3514, 8108,  601, 5741,  668, 2161,  428, 6325, 7970, 6359, 6200, 6044,  721,  474, 5795,
      5569, 2401, 4489, 1323, 4276, 7372, 6968, 6846, 1670, 2719, 5571, 4479,  124, 7787,   32, 6212,
      1760, 8037, 1198, 6993, 5572,   75,  383, 6333, 7809, 5149, 5163, 4951, 7793, 5476, 3559
   },
   {
      3422, 3832, 5872, 2387, 3254,  626, 5395,  396, 5878, 3205, 5468, 5813, 1011,  658, 5254, 7287,
      4100, 7956, 1160, 6916,  358, 6798, 1223,   32, 4267,  176, 2414, 3960, 6678, 2298, 2951, 4790,
      1006, 2673, 6136, 3800, 7744, 7391, 7838, 7668, 7839,  621, 3612, 6063, 5642, 4365, 7726, 4938,
      2243,  685, 1359, 5341, 5353, 4622, 7803, 2635, 4745, 7875, 4135, 1702, 2258, 5290, 5478, 2515,
      2427, 7018, 1694, 1949, 1917,  672, 7709, 6709, 4112,  640, 2582, 2234, 4251, 6384, 6407, 6260,
      6177, 7096,  679, 1111, 8051, 4860, 6859, 1618, 6233, 4804, 4191, 5107, 2426, 3553, 7057, 7073,
      7228, 6365, 3981, 6751, 1574, 3162, 8080,  511,  572, 4451, 1945, 7644, 4915, 3773, 1078, 5389,
      3268, 7226, 6390, 4461, 1262, 5754, 5584, 5121, 6635, 5246, 4795, 4969, 1514,  266, 1929, 7510,
      1768, 7567,  979, 5162, 7811, 7107,  794, 2100, 4518, 7894, 6192, 6432, 2032, 7629, 3807, 1869,
      3047, 7405,  586, 6488, 6494, 3470, 4367, 6632, 6345, 7111, 1938, 4690, 5318, 6580, 6286, 2291,
      1588, 3302, 8109, 1257, 6090, 2420, 3633, 2554, 2938, 2270,  326, 4504, 7537, 7620, 5588, 5029,
        61, 7874,  209, 2829, 8126, 1190, 5482, 4200, 4025, 1071, 6230, 4142, 6007, 4771, 6613, 6070,
      1612, 4246, 4209, 2454,  498, 4657, 2079, 2621, 7488, 7913, 7294,  340, 2179, 7076, 7989, 7173,
      3688, 2047, 2014,  633, 3358,  174, 4996, 5783, 7850, 1736, 5841, 4972, 4368, 2947, 7079, 3231,
      2027, 5398,  185, 7187, 6104, 1579, 2769, 5363, 7885, 6256, 5465, 2479, 6511, 2262,  365, 3287,
      3075, 3540, 2599,  321, 1445, 7768, 5163,  468,  223, 7283,  728, 5959, 3728, 7863, 2282
   },
   {
        25, 4930, 6389, 5308, 3412, 3652,  489, 8071,  829, 4879, 2638, 1397, 2875, 5259, 5473, 1261,
      7449, 4202,  196, 1948, 4308, 6296, 1857, 4475, 6382, 2990, 6507, 4729, 4812, 7366, 2701, 3691,
      4055, 6177, 2112, 7800, 3924, 4511, 5164, 5352, 7273, 6210, 3774, 7630, 2225, 3241, 7837, 3451,
       920, 3888,  897, 2913, 5035, 6831, 4641, 4096, 2100,  648, 5403, 4316, 5777,  556, 2745,  465,
      6228, 7817, 8147, 7538, 3446, 1509, 4088, 6114,  927, 7880, 7755, 2352, 5634, 3395,  185, 5411,
      6397, 2865, 7716, 6783, 8051, 1918, 6946, 6425,  597, 4947, 7919, 5330, 2371, 8028, 7198, 4332,
      4533, 4127, 2152, 6839, 7732, 1986, 6598, 2742, 6519, 3643, 1992, 6208, 2269, 4364, 5027, 3235,
       403, 3370, 5914, 4704, 8009, 5180,  551, 3991, 2924, 7421, 4780,  261, 5690,  595, 6356, 4109,
      5425,   42, 6685, 1610,   87,  372,  596, 2936, 2818, 2697, 6587, 5772, 4276, 5148, 6010, 2027,
      2944, 7075, 7154, 4106, 3375, 4611, 7461, 5838, 6884, 7833, 7380, 1994, 6320, 5851,  229, 7028,
      3963, 5564,  696, 3038, 7729, 3492, 3875, 6933, 5285, 3180, 1151,  584,   79, 5496, 2671, 4612,
      2188, 1608, 2449,  975,  563, 6982, 1505, 6964, 6537, 3094, 6561, 5810, 2776, 7493,  579, 6753,
      5061, 7958, 5067, 1929, 3300, 1544, 2548, 2976, 7472, 2321, 6808, 3318, 2872, 5156, 6828, 1984,
      4873, 1647, 4181,  142, 7448, 4044, 6941, 6855, 3282, 1011, 2574, 3968, 2137, 1369,  951,  107,
       243,  348, 5919, 4622, 3315, 3776, 1577, 2300, 1413, 3467, 5986, 4229,  269,  450, 3700, 3433,
      5783,  810, 2861, 1601, 4540, 4235,  941,  812, 6354, 6751, 4929, 3275, 7955, 3571, 3535
   },
   {
      8144, 5989, 1416, 4888, 3892, 7027, 5158, 6912, 1243, 6348, 5229, 7994, 1719, 7727, 7866, 6796,
      4520, 2509, 1189, 3868, 5671, 1437, 7001,  908,  299, 2925, 6688, 7685, 4340, 3151, 5633,  582,
      7525, 6443, 4877, 7545,  139, 4864,  360, 7836, 3832,  867, 1389, 3808, 5757, 5028, 7373,  319,
      3229, 3295, 3337,  142, 4691, 1991, 3549, 4351, 1528, 1012, 6370, 2952,   42, 5951, 4496, 7388,
      1617, 7472,  850, 3495,  994, 1779, 1853, 1795, 7476, 7298, 5594, 4202, 1546, 4879, 1017, 6218,
      5447, 5692, 2417, 2234, 4266, 7007,  572,  922, 4969, 7572, 1966, 5842,  109, 6146, 5146, 2177,
      5492, 7050, 5051, 7369, 8051, 7396, 8146, 6721, 4246, 1116, 4648, 1563, 1761, 5167, 6954, 7549,
      2562,  160, 5915, 3658,  662, 3573, 2673, 1367, 2747,  887,   24,  983, 5581, 4101, 6432, 1349,
      1221, 3497, 4620, 2502, 1046, 2416, 2226, 7717, 2127, 4845, 3570, 3938, 1299, 1675, 1267, 4555,
       961, 5517, 4908, 2677,  952, 2265, 1501, 5316, 8064, 8042, 7948, 2080, 2826, 6484, 5924, 1241,
       612, 2109,  243, 4834, 2714, 5311, 6064, 5526, 3203,  293, 1231, 1117, 2008,   84, 1698,  207,
      2909, 6346, 2542, 1204, 6957, 7129, 2047, 6231, 3442,  949, 1071, 7112, 6070, 6447, 6379, 6195,
       879, 4016, 6495, 5148, 1472, 4957, 4702, 4671,  628, 4565, 2261, 1489,   86, 2303,  455, 2849,
      3009, 2361, 4390, 8165, 3555, 6391, 5436, 5183,  789, 2646, 3201, 5035, 1103,  342, 4248, 1057,
      2771, 7025, 6926, 5665, 6941, 7149, 6385, 5856,   85, 2162, 5128,  581, 4930, 5299, 3976, 1000,
      2800,  756, 8067, 1517, 2896, 5227, 7507, 1580, 5721, 2846, 6253, 1986, 1786,  577,  533
   },
   {
      7339, 4388, 4711, 6482, 5029, 3312, 7910, 5687, 5411, 2246, 4551, 2635, 4415,  123,  894,  117,
      3540, 2880, 4045, 1437, 3734, 5259, 8046, 3992, 2817,  360, 5433, 5521, 6536, 6282, 5738, 3158,
      1783, 8137, 1566,  213, 4884, 3035, 7179, 1653, 2698,  128, 3387, 4162,  564, 7427, 6752, 4476,
      1031, 5069, 8091, 4962, 6781, 5906, 1413, 4068, 5857, 1219, 7187, 6968, 6606, 7432, 7012, 2985,
       349,  501,  701, 5353, 2439, 4426, 2676, 6609, 4395, 2453, 4928, 7221, 2959, 2309,  703,  469,
      1643, 8078,  647, 1565, 2923, 1165,  526, 4674, 2934, 2960, 3257, 6459, 3076, 4028, 2395, 5786,
      1796, 4245, 2378, 1728, 3216, 2866, 5843, 3029,  969, 4935, 5824, 2239, 4402, 6621, 7906, 7392,
      8120,  747, 5997, 1228, 6203,  600, 5057, 1086, 8055, 4848, 4772, 6618, 5917, 7241, 1844, 6309,
      2611, 6113, 6144, 4575, 6346,  766, 3979, 1414, 1113, 3537, 2379, 1656, 7500, 4385, 7072,  100,
      1892, 5726, 7385, 3326, 7697, 7609, 5509, 1871,  133, 5849,   24, 5534,  933, 3606,  893, 6415,
      5828,   36, 7913, 5138, 3639, 6538, 3959, 5670, 1133, 7426, 5575, 3993, 1671, 1184, 6806, 2404,
      7682, 7986, 6005, 5772, 4518, 5003, 5739, 3328, 5784, 4937, 7208,  292, 4430, 8069, 6875, 3870,
      8042,  659, 6310, 3184, 5144, 4049, 4597, 3712, 5328,  220, 2317,  764, 2255, 8011, 3371, 8041,
      4463, 3186, 6802, 2697,  323, 2911, 5054, 4248, 7099, 3133, 4244, 4862, 7519, 4043, 8185, 6882,
      5022, 6097,  357, 5106, 1391, 2103, 3140,  757, 5833, 2693, 5913, 5241, 2798, 1059, 1009, 4009,
      7249, 6276, 3719, 2271, 4684, 1752, 7621, 3655, 5004, 1547, 6330, 3524, 3360, 1140, 6458
   },
   {
       156, 1046, 4512, 3007, 5064,  345, 3295, 1615, 7166, 4900, 6968, 3932, 6562,  924, 2602, 2011,
      5867, 2619, 2644, 4932, 1826, 6669, 1722, 4080, 5797, 4709, 7699, 6367, 2044, 7873, 4704, 3073,
      2693, 2108, 3306,  613, 3360, 5096,  612, 4356, 1053, 3297, 6746, 2197, 6441, 4554,  287, 1660,
      3769, 6783, 6978, 1511,  508,  278, 2474, 5131, 2960, 6175,  103, 1424, 2174, 7665,  982, 2509,
      3977,  777, 6376, 2557, 2335, 4032,  367, 1219, 2774,  871, 4783, 5881, 2415, 6607, 4909,  426,
      7233, 1394, 4308, 1475, 7719, 7342, 2771, 1274, 7364, 3436, 7992, 6164, 2994, 5442, 6534,  884,
      7226,  669, 6140, 1349, 7858, 5899,  546, 7831, 3102, 4012, 2265, 1351, 1639, 1702, 7139, 2630,
      3548, 1382, 1554, 5034, 1441, 5166, 7050, 7655, 4940, 3900, 2477, 5151, 4244, 2530, 6115, 4675,
      1872,  468,  474, 6480, 6650,  928, 4782, 7006, 4104, 6208, 1530, 8014, 4510, 4636, 2745, 1856,
       153, 2836, 1334, 3550, 1706, 5788, 4313, 2595, 1325, 6179, 6102,  834, 1903, 5997, 3357, 5872,
      7459, 2874, 6899, 5937, 6002, 2597, 3341, 2582, 7123, 7248, 3806, 1390, 2547, 6004, 4698,   96,
      2613, 2996,  825,  222, 3544, 2194, 3276, 7377, 1250, 4474, 7143, 7107, 2967, 1089,  905, 8075,
      1059, 6511, 7827, 4002, 3987, 4197, 5817, 2743, 7680, 3493, 4743, 4723, 3516, 1425, 1712, 1519,
      8081, 5258, 5913,  434, 2524, 5604,  561,  414, 7888, 1914, 1335, 4409, 7524, 6582, 2283, 3811,
      6642, 7711, 4993, 6742,  516,  551, 1486,  815, 7301, 5378, 3096,  544, 2857, 5447, 5880, 6051,
      7896, 5388, 1290,   85, 3313, 1992,   92, 6848, 2645, 2605, 3574, 1215, 4174, 1628,  563
   },
   {
      1804,  322, 7811, 5633, 4591, 4092, 3344, 3859, 6134,  289, 1539, 1376, 1350,  199, 1897, 6296,
      4695, 4829, 1277, 4465, 5241, 1159, 6000, 3769, 4076, 2903, 1553, 3434, 3653, 4494, 4342, 3800,
      4059,  685,  438, 2131, 1315, 1900, 4670, 8037, 1881, 6823, 8040,  725, 6542, 1040, 1185, 5155,
      2053, 1005, 7636, 8100, 7476, 7856, 4410, 2224, 1742, 5231, 5446,  575, 7010, 2823, 7477, 4645,
      2536, 2024, 7461, 5340,  566,  761, 4310, 6788, 5333, 1208, 7946,  361, 5288, 4367,  641, 7850,
       535, 5075,  397, 4066, 2348, 7004, 4018, 2718, 4086, 5634, 4962, 1369, 5345, 1583, 1042, 4713,
      1207, 2681, 7098, 2505,  366, 4518,  897, 2027, 1261, 2272, 3909, 6983, 5693, 1743, 3058, 6407,
      1820,  867,  242, 7405, 5616, 7876, 7265, 4758, 7530,  827, 6929, 1440, 3029,  303, 1201, 6062,
       583,  917, 7999, 3334, 2439,  642, 8173, 3159, 2111, 1423, 1391, 4691, 4766, 6967, 6246,  649,
       684, 3829, 2815, 2871, 7222, 7598,  618, 4907,  299,  133, 2315, 7591, 2961, 7280, 6580, 1443,
      6666, 3118, 4005, 5056, 7773, 6937, 2953, 6972, 4827, 5468, 3044, 6851,  393, 7202, 2541, 6677,
      6078, 7215, 4078, 2977, 1017, 7512, 2238, 5906, 5364, 2754, 5286, 1184, 5595, 7862, 6468,  729,
      1291, 1352, 3032, 2523, 5295, 1535,  221, 4120, 5578, 8034, 2081, 8185,  273, 2379,  263, 7033,
      1993, 3283, 2405, 2217,  868, 1645,  233, 1273, 5916, 3088, 4214, 3855, 5518, 5079, 1719, 5869,
      2360, 1791, 6787,  236, 7576, 5280,  764,  533, 5479, 2178, 2312, 4082, 4355, 2476, 4327, 2366,
      4743, 6395, 2605,  942, 7187, 2286, 7204, 4042, 7696, 7140, 5636, 6343, 3030, 3996, 6587
   },
   {
      6935, 3278,  889, 4925, 3291, 1713, 2698,  202, 5333, 2368,   31, 4734, 7489, 5531,  501, 7469,
      1407, 1790, 2900, 4941, 2098, 5020, 5330, 6649, 2855, 4476,  523, 4219, 1737, 3498, 4754, 5047,
      7104, 5782, 2937, 2626, 3855, 7616, 3336, 1803, 6126, 6812,  560, 1886, 1310,  249, 8050, 3294,
      4127, 7222, 2332, 5361,  955, 3735, 1311, 3242, 6911, 2639,  548, 7814, 5241, 7790, 2756, 5712,
      7237, 7390, 7493, 3940, 1758, 7648, 7645, 2065,   27, 4859, 7481, 7068, 3108, 3112, 7189, 2557,
      2959, 4778, 6347, 1787, 1087, 7881, 3214, 1018, 1800, 3958, 4920, 4187, 5933, 3106, 3572, 6199,
      5069, 6228, 1552, 2803, 1396, 6159, 5785, 7291, 3197, 6959,  721, 4151, 5822, 3056, 7446, 7817,
      1116, 6608,  624, 4942, 7400, 1012, 1181, 3329, 5918, 8122, 7796, 1504, 4971, 1179, 3690, 5992,
       957, 5915, 5189, 4551, 4107, 3483, 7865, 6710, 7042, 1685, 3158, 6767, 4274, 6966, 1690, 1701,
      1212, 6003, 1264, 4897, 6777,  182,  604, 1990, 6851, 4288, 5485,  273, 3889,   68, 6561, 7651,
      6497, 5871, 8187,   13, 1377, 6726, 2651, 7940, 6032, 2227, 3084,  989, 6975, 4362, 6189, 2327,
      4661, 5575, 6582, 2739, 3926, 4609,   86,  448, 2734, 8035, 3828, 7070, 3488, 1820,  145, 6132,
      8177, 5343, 6321,  515, 8183, 5147, 7069, 4900, 7491,   43, 2318, 5071, 4921, 6213, 7314, 2522,
      4585, 6197,  375, 3299, 5254, 7184, 1198, 5180, 7930, 6570, 4708, 3049, 3618, 6370, 6428, 5535,
      5500, 6444, 5281, 1161, 6460, 7270, 4819,  106, 5235, 5552, 6405, 7215, 7437, 7838, 4416, 4429,
      2503, 5696, 1735, 7149, 7064, 4837,  716, 5288, 7951, 1986, 7229, 5991, 3220, 4097, 8048
   },
   {
      5611,  720,  961, 6577, 2729, 6600, 6502, 7552, 5244, 2540, 3993, 3625, 2073, 1067, 6693, 1220,
      2181, 2236, 5977, 7369, 4086, 5393, 4069, 3573, 7713, 5799, 2388, 6578, 2297,  141, 5329,  432,
      1483, 2503, 3838, 4500,  163, 3449, 6507, 1403, 6924, 6483, 4669, 7167, 5636, 6844,  287, 7287,
      3944, 1597, 4688,  509, 5926, 5257, 5341, 8070, 4029, 2789,  621, 7865, 1627, 7421, 1090, 6881,
      8054, 8061, 4666, 6525, 7857, 5306,  864, 6271, 3594, 5983, 7893, 6769, 4673, 7159, 7596, 3839,
      3381, 6985, 6963, 6700, 6170,   56, 3158, 4328, 5570, 7508, 7420, 7806, 7541, 1466, 7623, 7149,
      4084,  425, 3772, 5723, 1034, 5892, 4296, 4810, 1284,  945,  325, 7840,  641, 1749, 1942, 4369,
       206,  812, 5620, 5491, 4334, 6007, 7870, 2937, 4467, 2002, 4209, 5258, 2453, 5304, 4317,  865,
      1761, 4925,  644, 7984,   82, 1117, 2727, 5375, 3169, 7269, 4711, 7795, 7758, 2158, 4473, 3761,
      4662, 7489, 4670, 6603, 2063, 7358, 3662, 1711, 4214, 5376, 5955, 2288,  478, 2651, 4518, 2120,
      5175, 5478, 6216, 1138, 1288,  174, 6519, 3935, 2052, 5488, 2034, 6635, 3420,  705, 3042, 2271,
      2920, 5334, 7853, 2254, 5459, 6382, 2875, 7954, 6376, 2269, 2742, 7855, 4624, 5252,  656,  266,
      3118, 2792, 1201, 5536, 4188, 4331, 3618, 3602,  848, 4809,  125, 6765, 4455, 2997, 2277, 5839,
      4476, 4856, 5233, 1177, 3359,  510, 7711, 7306, 3601, 7934, 6850, 3803, 2933, 3501, 4658, 3519,
      6210, 8138, 7735, 4392,  974, 3291, 3085, 7951, 1523,  171, 6902, 2563, 6704, 5431, 6946, 3626,
      6663, 2588, 3231, 7183, 5533, 2402, 3637, 1777, 7063, 1947, 1893, 5171, 1291,  958, 7433
   },
   {
      7092, 2097,  172, 6169, 6844, 3122, 4484, 4226, 2651, 2364, 2276, 6705, 4899, 5820,  961, 5805,
      4542, 5298, 2924, 8119, 1744, 3415,  447, 4481, 3226, 4573, 4624,  681, 1716, 8061, 3243, 2051,
      6698, 5686,  448, 2874, 8090,  338, 2542,   91, 3472,   90,  224, 6427, 5536, 1637, 6532, 8124,
      1496,   53, 2018, 4437, 4004,  158, 5267, 6755,  851, 4343, 1494, 2702, 2072, 6319, 3912, 7364,
       777, 3370,  718, 5777, 2367, 3360,   10,   92, 4220, 2758, 5631, 1345, 2468, 1137, 5910, 5523,
      7321, 7311, 4963, 8159, 3026, 7506, 7565, 2252, 7685, 2589, 6051, 2628, 3874, 5280,  781, 3497,
      8073, 1246, 3001, 6514, 4811, 5520, 2956, 7677, 2761, 7700,  983,  972, 5653, 6489, 4553, 3375,
      3780, 6632, 3065, 7031, 4894, 4598, 6784, 3024, 2035, 2806, 1037, 1647, 1609, 7072, 5066, 7984,
      3165, 4398, 3768, 4924, 3103, 1710, 6177, 2456, 2748, 2461, 7160,  708,  375, 6724, 1109, 1459,
      7835, 4439, 8128, 7518, 2418,  639, 4010,   72, 7587, 4338, 4655, 5583, 2747, 1602, 3843, 2869,
      4753, 6788, 6853, 4141, 5770, 1675, 4430, 1679,  504, 6335, 2502,   99,  839, 4401, 3828,  962,
      1258, 4436, 5483, 3456, 4469, 4764, 1229, 1334, 4830, 4149, 5251, 2389,  297,  459,  985, 3833,
      6768, 6417, 6015, 7796, 2280, 7238, 5508, 7725,  861, 1318,   26, 7280,  907, 2978,  301,  413,
      3090, 2929, 6967, 2674, 6464, 6856, 5594,  976, 6720, 7379, 7491, 3454, 6974, 5999, 2075, 1029,
      7279, 5961, 8087,  614, 7427, 5143, 2652, 7419, 1801, 4055,  481, 4328, 3992, 5978, 7251, 2596,
      6002, 3303, 2621, 6896, 6730, 1089, 4368, 4207, 7540, 5850, 7037, 1677, 3684, 3685, 6154
   },
   {
      2897, 3919, 5266, 4113, 4774, 6426, 4401, 6963, 2611, 6042, 7281, 5059,  270,  587, 4527, 4257,
      7165,  404, 6395, 6017, 3647, 4812,  871, 2779, 3500, 2174, 4839, 3066, 2127,  971, 3934, 5172,
      5439,   29, 5536, 3901, 1594, 3990, 3566, 6730, 5008, 7106, 4829, 3240, 4630, 5120,  681, 6791,
      1570, 6007, 4301, 5358, 3697, 4769,  280, 1639, 5772, 6454, 5791, 1670, 3561, 3312, 5136, 1880,
       138,  412, 6160, 6529, 3216, 5056, 1209, 6793, 2642, 1171, 7516, 6121, 5779, 2163, 6742, 7975,
      1582, 3908, 7223, 5663, 5312, 3087, 4888, 3702, 3628, 6391, 2833, 5035, 3081, 4166, 5975,  903,
       804, 7588, 6893, 3752, 2866, 6411, 3505, 7485, 3004, 6795, 1365, 3084, 1927, 5886, 6868, 4028,
      5610, 5447,  619, 2446, 6852, 1660, 1673, 5943, 4095, 4860, 7740, 8191, 3537, 7057,  599, 6752,
       660, 4361, 1554, 5393,   63, 5191, 6039, 7056, 5941, 4767, 1795, 3498, 6670, 1408, 2785, 2718,
      6367, 7968, 2389,  460, 3158, 5047, 2484, 5778, 7600, 5590, 7555, 3996, 6132, 4943, 2014, 2666,
      1197, 5122, 4270, 6883, 3725, 4379, 2915, 5682, 3379, 4597, 2796, 5893, 6645, 6043, 2046, 7624,
      7168, 7597, 6741, 4934, 1146, 6427, 6228,  636, 2232, 7969, 2824, 4450, 3157,  823, 7971, 4347,
      1587, 4269, 5837, 6144, 5728, 6709,  142, 2169, 7077, 7375, 1913, 5078, 5698, 6202,  144, 3837,
      3248, 6467, 7134, 6896, 2434, 3878, 7506, 2288, 5281, 2132, 7290, 6394, 6797, 1303,  548, 4338,
      6568, 7705,  618, 4728, 5177, 5573, 3462, 6142,  244, 3436, 7083, 1818, 7117, 7343, 5027, 5522,
      2983, 1247, 7830, 2216,  350, 1333,  778, 5818, 7718, 1301, 1869, 6614, 7392,  409, 7467
   },
   {
      4051,  561, 6665, 1089, 6043, 6385, 4305, 3634, 3839, 3049, 1918,  966, 1166, 7035, 4932, 3731,
      3645, 6944, 7243, 2565, 7245, 8142, 5192, 3406, 7153, 6700, 3267, 5675,  381, 4977, 7304, 6613,
      6617, 7953,  450,   40, 6147, 6668, 6413,  640, 1362, 1277, 2859, 6672, 7536, 1191, 1541, 2183,
      2845, 5724, 3078, 5141, 6904, 5574, 5078, 3332, 5542, 7573, 3473, 1125, 7780, 1658, 5969, 1392,
      5405, 1833,  715, 1231, 7633, 3637, 3983,  460, 6051, 4016, 5468, 2978, 3707, 2191, 6278, 2105,
      2299, 2638, 4943, 1234, 6271, 6836, 8176, 1976, 1582,  614, 6398, 1956, 6654, 4531, 8151, 2883,
      7400, 2524, 7097, 5449, 5386, 5710, 7481,  863,  566, 2393, 3741,  489,  100, 4108, 3269, 1550,
      7921, 6340, 2932, 2836, 3352, 3308,  653, 5981, 1930, 6716, 7340, 1925, 1188,    9, 4884, 6764,
      5950, 2186, 1133, 7699, 6224, 7044, 1185, 4488, 1949, 5847, 5935, 2791, 5812,   47, 5502, 7731,
      4719, 4405, 7814, 3549, 1430, 7059,  755, 5469, 6395, 7416,  670, 5564, 6646, 7926, 5623, 3064,
      4042, 6387, 4630, 6440, 5249,  471, 7818, 2782, 4832, 6137, 6671, 2856, 7265, 4667, 4144, 1025,
      1559, 5365, 3698, 2251, 4590, 1743, 1256, 2420,  954, 5844, 6691,  884, 6169,  189, 2486, 5290,
       691, 5240, 3998, 5916, 3992, 7293, 7688, 5061, 1691, 1378, 7046, 1042, 1593, 6393, 3938,  854,
      1769, 4454, 2232,  231, 3777, 3693, 4094, 6347, 1951,  555, 1082, 7178, 4422, 4929, 7278, 6826,
      6331, 1542, 1698, 2189, 4574, 3898, 6725, 1331, 3159, 8022, 5768, 5800, 6281, 5674, 4151,  986,
      2106, 7048, 5058, 7691,  729, 4945,  624, 7480,  945, 6444, 5692, 7063, 7082, 2240,   67
   },
   {
      1613, 4224, 2624, 5424, 8135,  746,   59, 5604, 6298, 1343, 1930, 7751, 8129, 4740, 7955, 2040,
      7224,  280, 7440,  802, 1105, 7994,  793, 8105, 7466, 6526, 5632, 3165, 7700, 4199, 2120, 5432,
      5881, 5631, 6311, 7807,  592, 3978, 2699, 6787, 6896, 3479, 3441,  822, 2316, 4439, 4681, 2620,
      4022, 7226, 1705,  716, 5503, 6341, 2860, 2156, 8092,  661, 5143, 7410, 3068,  380, 2652, 3929,
      2257,  303,  441, 4733, 7705, 2442,   66, 6780, 7414, 4133, 3454, 3692, 8111, 3213, 2640,  543,
      6164,  296, 2306, 4904, 6486, 2668,  115, 7329, 3515,  957, 1074, 1722, 2111, 7961, 7915, 7757,
      7552, 5935, 3685,  917, 4503, 7566,  894, 4958, 3242,  554, 5024, 6942, 1882, 4933, 7853, 5068,
      7454,    5,   23,  834,  869, 5896, 1231, 5426,  456, 5387,  555, 4123, 6853, 6475, 7033, 7058,
      6565, 7152, 6533, 7238, 1172, 3842, 4946, 1782, 1000, 2470, 4355,  151, 6956, 7022,  548, 1286,
      6967, 8009, 1254, 2637,  241, 7509, 5510, 1784, 8094, 7785, 3286, 7773, 1298, 6282, 2918, 4549,
      4576, 7932, 3492, 1446, 3436, 2067, 3596, 4119, 2711,  203, 7525, 1029, 7872, 4430, 4668, 1552,
      6802, 5630, 1210,  294, 3582, 7607, 2391, 6584, 2610, 6092, 3806, 6523, 5538, 7193, 1399, 5087,
      3362, 2074, 5756, 4478,  722, 1293, 8141, 7554, 4260,  919,  605, 2642, 3337, 4286, 2299,  147,
       734, 6752,  738, 3756, 5066, 4080, 2225, 4700, 5704, 2174, 2091, 5004, 5992, 6446, 1311, 7170,
       848, 3831, 1128, 4176, 7115,  635,  638, 6205,  231, 4180, 1137, 2993, 7157, 3670, 4778,  395,
      2148,   93, 6649, 4584, 5655,  486, 5445, 3011, 3475, 7286, 6955, 2761, 5953, 4335,  174
   },
   {
      5971, 7493, 1602, 7916, 7730, 6876, 3424, 7000, 1318, 1258, 7577,  631, 7041, 3485, 6781, 7779,
      5177, 5384, 1508, 2217, 6434, 5845, 6576,  585,  467, 4128, 1549,   41, 3445, 8012, 1904, 4150,
      7912, 4064, 8152, 3933, 6525, 6440, 7811, 4149, 4334, 6960, 5331, 3370, 5546, 3044, 1738,  121,
      2292, 6816, 3003, 1920, 1189,  321, 6094, 2995, 7210, 3194, 5079, 6531,  258, 2920, 2160, 5947,
      6363, 2645, 6334, 7098, 5512, 2925, 5282, 6551, 1287, 5020, 2142, 8106, 8041, 3827,  874,  831,
      2580, 6101, 1373, 5457, 7063, 4179, 4348, 1007, 2523, 1944, 1484, 6743, 7486, 1804,  263, 4963,
      3813, 8173, 3482, 6731, 5621, 7371, 3531,  241, 6464, 2764, 2000, 3355, 3763, 8103, 3319, 2862,
      1288, 3870, 7834, 5298, 3215, 5387, 5820, 1282, 1037, 5842, 7742,  191, 7668, 8013, 2596, 3437,
       309, 4391, 2327,  152, 6549, 1066, 6619, 5496, 1851,  310,  278, 7417,  650, 5420, 1267, 2592,
      1220, 3994,  818,   56,  878, 3848, 7935, 1046, 1102,  186, 7900, 3860, 1748, 6697, 3795, 1021,
      2603,  247, 3872, 6168, 1587,  613, 5469, 2800,  447, 1000, 7107, 3483, 3268, 3134,  302, 3966,
      2561, 2006, 2586, 1725, 2383, 4113,  684, 6498, 2702, 3456, 2646, 1165, 2823, 7447, 3807, 6427,
      4076, 3012, 2686, 5739, 2402, 1043, 3452, 3111, 3566, 5590, 6891, 2855,  222,  368, 6270, 3494,
      1281,  828, 3138, 4806,  360, 7653, 5595, 1510, 3105, 4505, 1115, 5340, 8084, 7121, 1582, 7476,
      1644, 7282, 3886, 5651, 5012, 7087, 7413, 6144,    9, 1045, 4029, 4653, 7256, 7357, 7010, 2758,
      4866, 2072, 5880, 2121, 4701, 5867, 8020, 1781,  784, 3625, 1051, 8094, 2676, 3431, 4248
   },
   {
      1675, 4368, 5658, 3874, 2640, 4877, 5080, 4082,  615, 2995, 7335, 4047, 1720, 5888, 3611,  231,
      3383, 7948, 1784, 4260, 3686, 6927, 1051,   47, 2434, 5130, 2123, 5154, 5257, 7981, 3054, 4234,
      6894, 2108, 2197, 3095, 7886, 3367, 7244, 1632, 4462, 6450, 7804, 8148, 6650,  932, 2888, 5813,
      2805, 2600, 3682, 2395,  608, 1594, 4148, 1782, 6644, 4092, 5079, 2176, 3172, 3380, 2400, 1391,
      2355, 6681, 6315, 3807, 3307, 7160,  675, 2348, 4132, 3984, 7812,  177, 6898, 5486, 7344, 5589,
      3130, 3855, 2177, 3312, 1686,  716, 2457, 2769,   58, 7395,  115, 7740, 6467, 3226, 2515, 4107,
      1765, 3866,  732, 3690, 5056, 7917, 3715,  542, 7407,  180, 2039, 3149, 6619, 3188,  159, 1453,
      2103, 5076, 7937, 5687, 8157,  961, 4554, 3026, 5961, 2394, 7550, 2346, 6339, 1387, 2901, 5849,
      7439, 4091, 2562, 3648, 2955, 5780, 6663, 2019, 6726, 6984, 6482, 2052, 1101,  861, 3405,  356,
      5163, 4632,  171, 3694, 4950, 6426, 3475, 7364, 4798, 1777, 4067,   88, 5606, 3276, 6838, 6075,
      4041,  865, 3823, 1731, 7519, 6809, 7478, 5700, 6924, 2211, 4755, 7185,  748, 3283,  476, 1058,
      6343,  598, 6344, 2750, 3416, 1012, 4712, 5848, 6466, 2189, 5229, 6091, 7622, 3988, 7070, 1220,
      6196, 2666, 3583, 2829, 1580, 1490,  233, 3198, 6336, 7673, 4782, 7542, 3929, 7175, 7448, 7162,
      3135, 2783, 1362, 4941, 1464, 2252, 1093, 5736, 2979, 2779,  605, 2352, 3936, 4669, 5149, 6016,
      5671, 4744, 5938, 7199, 1054, 1825, 7097, 1118, 4431, 6955, 5517, 2256, 6269, 1914, 7487, 1078,
      5490, 4574, 1834, 8145, 3550, 5180, 7754, 4134, 4256, 1880, 1685, 6109, 6918, 5060, 7736
   },
   {
      7770, 5007, 1801, 5930, 5463, 1366, 3334, 5057, 3972, 7385, 8180, 4750, 2445, 2739, 5544, 8008,
      3121, 2685, 4214, 3276, 3235, 4057, 7394, 3480, 3609, 3819, 1750, 4194, 6173, 8139, 1941, 1731,
      6036,   60, 5950, 2614, 4030, 2019, 6214, 8076, 1248, 6273, 1496, 2313, 3835, 4019, 2658, 5414,
       702, 8023, 5893, 5935, 2480, 1230, 6959, 2748, 7073, 2692, 5659, 5395, 6250, 7873, 3405, 3882,
      3247, 7897,  162, 6716, 6611, 4576, 2332, 6550,  480, 6081, 3062, 2834, 7685, 4006, 6332,  835,
      1945,  972, 2212, 6204, 5924, 2305, 2047, 5314, 4625, 2564, 7870, 5757, 5120, 3433, 4616,  486,
      8053, 1928, 2886, 6228, 5072, 4303, 5892, 6707, 1307, 3254, 1220, 5276, 1119, 5699, 6372, 4434,
      3783, 3280, 1931, 8186, 1302, 5140, 2376, 2919, 4392,  858, 5123, 5334, 6896, 4811, 2988,  608,
      7010, 2979,  308, 1303, 5912, 4002, 4856, 6379, 3562, 5744, 7966, 3427, 6179, 6457, 6743, 3277,
      2320, 4127, 6886, 8157, 4581, 2290, 5291, 3352,  783, 7721,   86, 5187, 6133,   15,  997,  767,
      3773,  912, 2678, 1437,  865, 6902, 4073, 7952, 6893, 1865,  875, 3529, 3383, 4001, 4901, 5793,
      4457, 7887, 3909, 1188, 8081,  201, 7868, 1646, 6870, 8130, 4384, 3487, 4318, 6441, 5010, 5538,
      2149, 1789, 2422, 6032, 4157,  240, 6440, 6104, 1277, 6339, 2389, 7826,  703, 4443,  514, 5674,
      5601, 6559, 3305, 7074, 5114, 1125, 5668, 4438, 4143, 3564, 6500, 7395, 6286, 6057, 3257, 2732,
      4319,  566,  963, 1124, 4436, 5337,  974, 7643, 1883, 5526, 4197, 3207, 3690, 7939, 1365, 7815,
      3890, 7443, 5506, 4892, 1031, 4378, 1493, 2859, 8175, 2941, 1656,   83, 7669, 5502, 6730
   },
   {
      5305,  554, 1652, 4351, 6987, 2775, 3304, 5643, 5157, 5049,  964, 7663, 8140, 6244,  102, 3259,
      4252, 5236, 6277, 3102, 7957,  433, 1828, 3605, 3760, 6101, 5033, 4797, 2668, 8094, 4889, 7128,
      6438, 6238,  385, 2282, 5298, 2915, 7435, 3128, 3362,  688, 2490, 5686, 5995, 6091, 7821, 4871,
      3398, 5536,  731, 5115,  664, 4496, 7684,  574, 8083, 6480, 6849, 1325, 5149,   26, 5141, 7395,
      4943, 1567, 2946, 1638,  307,  466, 6012, 7906, 4044, 6727, 5484, 7244, 7372, 1083, 5708,  354,
      1717, 2070, 1710, 6804, 2928, 3145, 4757, 4719, 2815, 6726, 7555, 5803, 1270, 4698, 5528, 1910,
      1778, 4109, 1112, 2133, 5675, 1339, 1397, 5948, 2983, 2598, 5191, 2144,  830, 7146, 6992, 3287,
      2416, 7118, 1781, 1677,  809, 4023,  332, 6773, 6600,  549, 3154, 1919, 4551, 2138, 3966,  917,
      1208, 6969,  193, 7339,  331, 3817,  977, 1752, 6017,  506, 3784, 4635, 5845, 2338, 5192, 2820,
       360, 5975, 3248, 7544, 7027, 2123, 4870, 7246, 1201, 1304, 2584, 6605, 3648, 4240, 2174, 1179,
      8124, 2425, 5003, 6301, 7565, 6031, 4744, 4559,  480, 2632, 7471, 6434, 7888, 5645, 5923, 2488,
      1003, 6950, 5988, 3848, 1972, 6536, 3094, 7528, 8158, 1324, 5444, 6778, 4133, 4170, 8157, 6427,
      6842, 6291, 4479, 2476, 3960, 5164, 4323, 2715, 1543, 7086, 6172, 2254, 8130, 3736, 5691, 7078,
      6197, 1527, 7398, 6337, 3942, 3996, 7053, 4331, 1309, 1991, 4449, 1569,   98, 3826, 7964, 6026,
      1149, 3426, 6612, 3236, 7922, 5055, 5800,  895, 4557, 6929, 6725, 5910, 2389, 1047, 2683,   60,
      5101, 4831, 6395,  231, 1267, 6439, 7815, 4218, 3075, 4837, 4099,  189, 1093, 1905, 6862
   },
   {
      5598,  916, 1676, 7080, 3394, 2619, 7410, 7057, 1012, 1791, 2749, 2596, 6936, 8136, 1154, 7191,
      4389, 6989,  113, 6275, 4971, 1709, 7213, 3269, 1864,  414, 5751, 7492, 4202, 6658, 5736, 5867,
      4936, 4103, 3081,  848, 1078, 1030,  177, 7747, 3371, 7050,  872, 6533, 6109,  926, 1727, 2334,
      3338, 8025, 7836, 4717, 7477, 7484,  925, 7280, 6855, 2606, 2327,  566, 2894, 7126, 2901, 5256,
       794, 7729, 6076, 2541, 5190, 2110, 2878, 3547, 4375, 5057, 4313, 1995, 7413, 7451, 4830, 5262,
      2851, 4430, 3166, 4614, 4633, 3313, 1979, 5839, 1344, 3978, 5913, 7247, 2644, 3742, 1927, 1941,
      6737, 3587, 3709,  602, 6614, 6967,   29, 1570, 6212, 2148, 5783, 2177, 5280, 2459, 6951, 4684,
      1049, 7463, 6875, 5089, 3042, 1263, 1063, 4469, 1722, 7090, 4813, 7643, 3037, 6808, 5317, 4670,
      2076,  278, 2719,  411, 2615, 2979, 1406, 6871, 6567, 1383, 6539, 4013, 4123, 4641, 8031, 2218,
      4657, 5563, 5440, 6050,  806, 2577, 5225, 5836, 1430, 5666, 1951, 4306, 2370,  617, 6749, 2237,
      1694, 6576,  336, 3434,   32, 5242, 1369, 5532, 1618, 3003,  886, 3527, 2582, 7270, 4212, 4018,
      5059, 5653, 2080,  859, 4403,  912, 6946, 5434, 6957,  932, 4509, 2610, 3472, 2821, 1023, 4692,
      5374, 6692, 1311, 3271, 3791,  813, 1854, 2102, 6399,  370, 6123, 3345, 5692, 4640, 5411, 3354,
      5739, 3430, 1823, 6678, 5777, 1573, 4287, 4231, 3118, 4912, 3285, 5494, 2124, 4672,  152, 1904,
      5302,  380, 7107, 4534,  174, 7099, 3865, 4796, 7073, 1845, 3943, 3849, 7517, 5815, 2929, 6357,
      3703, 8018, 4700, 5694, 8057, 4906, 6803, 6254, 2257, 7773, 6695, 4977, 1361, 1696, 1571
   },
   {
      6393, 3002, 4455, 2429, 7962, 4066,   97,  141, 2651, 5743, 5197, 2425, 5035, 3495, 4947, 3539,
      1817, 4898,  775, 6326, 6389, 2228, 1521, 1958,  580, 7988, 5919, 1165,  949, 2894,  556, 1492,
      4810, 1141, 7392, 2091, 2867, 1320,  780, 6497, 2765,  278, 8115, 2372, 3139, 1698, 7826, 7546,
      5093, 2967,  302, 2624, 3640,  456, 5012, 6642, 1243, 4567, 3971, 5253,  548, 7068, 7997, 1746,
      2985,  125, 6504,  506, 3100, 1615, 4438, 7378, 7120, 2233, 2416, 7108, 7463, 5489, 8059,  744,
      1217, 5983, 2428, 3261, 4864, 6155, 7619, 5207, 3199, 2684, 3514, 1553,  653, 2475, 7925, 2351,
      8049, 8118,  429, 3624, 7228,  516, 3020, 5114, 1786, 1256, 2572, 8057, 8097, 4228,  509,  738,
      6094, 1023, 7615, 5386, 4300, 3950, 4976, 2673, 1577, 7970, 2086, 1374, 3783, 2352, 2704, 5712,
      4303, 5441, 4586, 7357, 5891, 7426, 4123, 3992, 1509, 7003, 5271, 6923, 3633, 3203, 3377, 5864,
       669,   56, 7616,  659, 2608, 2950, 7010, 4512, 6433, 2954, 3818, 4420, 2170, 8163, 3304, 1391,
       692, 7233, 2489, 7920, 5075, 4411,  673, 2353, 4409, 7445,  184,  520, 3799, 2481, 8172, 1928,
      1880, 1854, 8125, 3054, 1309, 4321, 5955, 5086, 7470, 4103, 5592, 5370, 7945, 1921, 6845, 4174,
      7860, 4804, 3705, 5756, 1845, 1652,   67, 3822, 5673, 5817, 4933,   53, 1109, 2343, 1384, 2870,
      8069, 2020, 5858, 6820, 6815, 3049, 4917, 1978, 2178, 1343, 1381, 1004, 5753, 4023, 6113, 2824,
      6375, 7329, 1431, 6160, 4959, 7486, 4169, 6103, 3170, 5501, 6189, 1418, 6428, 7926, 7858,  519,
      5660, 6254,  951, 5677, 4359, 4648, 3523, 7863, 3565, 1302, 7472, 1355, 2748,  879, 4670
   },
   {
      7447, 3597, 6308, 4220, 2905,  169, 3103, 6626, 3509, 2918, 4313, 4916, 5098, 3042,  313,  222,
      1345, 7750, 3325, 4973, 1318, 2871, 5680, 5253, 6100, 5410, 5212, 2210,  389, 5231, 2048, 1451,
      3903, 6406, 5656, 7271,  355, 5043, 5374, 1160, 4753, 2013, 5362,  540, 3495,  228, 2345, 3456,
      4022, 5972, 3227,  930, 7369, 6512, 2965,  561, 1427, 1116,  470,  604, 5307, 1283, 7112, 6669,
       676, 3991,  849, 4155, 6549, 5135,  423, 6340, 5942, 1072, 4451, 7926, 8009, 1542,  712, 6303,
      2721,  159, 7941, 6802,  401, 5252,  602,  805, 5398, 3454,  672,  980, 5074, 3893, 3029, 7852,
      5706, 4241, 7748,  206, 1367, 1875, 3772, 2761, 7544,  554, 3973, 3960, 6880, 2251, 5561, 7520,
      6433,  229, 3667, 5566,  711, 7657,  552, 1736, 3784, 4802, 2906, 4631, 5948, 3347,  593, 1843,
      3076, 1675, 6926, 7929, 1587, 3163, 4574, 7679, 5393, 2682, 4183, 6561, 3062, 2289, 4009, 5850,
      2269, 5474, 3164, 2518, 1126, 4008, 7913, 5876, 6108, 5294, 2748, 8137, 1403, 7104,  344, 1762,
      6259, 2119, 1419, 4531, 7659, 5279, 6038, 1890, 6025, 5511,  876, 4836, 3019, 7529, 3885,  303,
      1491,  142, 4144, 3206,  237, 2077, 7483, 1327, 7683, 3923, 2476, 2644,  665, 7597, 7547,  170,
      4853, 7494, 2301,  927, 6011, 4450, 3168, 4788, 4609, 5586, 5830, 3287, 4762, 6528, 1118, 7074,
      6798, 6285, 7784, 6119, 7979, 2270, 2129, 1624, 1150, 6915, 6391, 5387, 2825, 5163, 7382, 4306,
       334, 7017, 3539, 6448, 2166, 5372, 4893, 3927, 5946, 7208, 1699, 3218,  186,  633, 1650, 4227,
        68, 2739, 4866, 5295, 6519, 6881, 2938, 1827, 3876, 2160, 4782, 3949, 4676, 2562, 6383
   },
   {
      1409, 6482,  596, 1074, 8127,  134,   62, 4654, 4373, 3337, 5317,    2, 4638, 1090, 4866, 3177,
      5147,  352, 4182,  205, 8139, 2891, 4331,   92, 5826, 7928, 2031,  626, 2276, 7444, 6138,  477,
      7424, 2519, 7279, 5397, 5035, 7322, 2255, 4217, 6244, 7049, 5259,  625, 7217, 4608,  508, 2346,
      3352, 5956, 3383, 6496, 1126, 7816, 6057, 4215, 5793, 3276,  706, 4897, 7045, 8178, 6807, 7054,
      3270, 6111, 3557, 3577, 3316, 7050, 2893,   83, 3766, 4082, 1371, 5486, 4712, 1331,  633, 7855,
      1789, 6628, 2494, 1337, 6425, 3964, 5727, 4749, 3965, 2788, 7032, 6458, 2753, 1053, 3202, 1510,
      3983,  353, 4423, 6453, 3447, 2325, 2300, 7357, 1444, 4827, 8038, 6267, 7897, 5904, 4689, 5658,
      1212, 5266,  331, 7902,  694, 4900, 5449, 4630, 7972,  196, 1188, 1875,  735, 4142, 4246, 3932,
      4191, 3706, 7609, 2544, 6608, 7104, 7608, 4628,  515, 6022, 3736,  555, 3354, 2134, 1712, 2831,
      5733, 5926, 5803, 7578, 6545, 3165, 3540, 5553, 5488, 4537, 2119, 5179, 5630, 5077, 2633, 6100,
      5759, 6642, 2422,  827, 7926, 2599, 1961,  177, 3205,  581, 8161,  385, 4790, 5286, 2813, 6975,
      1396, 6822, 4433, 3365, 4528, 3241, 6130, 6238, 2336, 3668, 4707, 6881, 5152, 4947, 5264, 5951,
      7434, 2357,  924, 3523,  235, 5281, 7060, 3004, 3869, 2469, 6350, 7920, 1679, 5262,  887, 3430,
      3245, 5115, 3858, 6913, 4084, 2079, 3415, 6817, 4547, 7955, 3394, 4990, 5989, 7580, 6563, 4402,
      5446, 1540, 5568, 7711, 4328, 2381, 7903, 6245, 2618,  288, 5099, 5226, 6030, 5496, 5900, 4323,
      7646, 2025, 7859, 7534, 5040, 5029, 3159, 4662, 3401, 6427, 7248, 7959, 4073, 7387, 6737
   },
   {
      6365, 7205, 5234, 1021, 6363,  134, 4418,  178, 3153, 2801, 4700, 3376, 5260,  993, 2744, 5020,
      2239, 3736, 2463, 6862, 5006, 5723, 7570, 4970, 5561,  665, 1034, 2479, 6930, 5149, 7946, 6074,
      3319, 5685,  317, 2770, 3130, 8154, 4648, 7980, 3148,  147, 5592, 2871, 6317, 3219, 4736, 2846,
      6908,   59, 3494, 2850, 7160, 7181, 7086, 4247, 7975, 7192, 2484, 6117, 6725, 2979, 7489,   90,
      6671, 7866, 1386, 3366, 2967, 2767,  294, 7813, 8062, 3715,  790, 7183, 5927, 5486, 5897, 2244,
       614, 4131, 4401, 3933, 1266, 1649, 6455, 6060, 3051, 4312, 2061, 5712, 4908, 6421, 5874, 1052,
       226, 4000, 2528, 5326, 6938, 2072, 7863, 3675, 4175, 6225, 8046, 2795, 7415,  859, 2622, 4940,
      6434, 3751, 4929,  698, 2914, 2750, 3570, 4644, 7316, 3930, 3615, 2212, 3946, 8075, 6825, 2316,
      2798,  668, 6512, 7310, 5711, 3324, 7962, 4528, 7242, 6307,  886, 3806, 5859, 4379, 3830,  699,
      5619, 2769, 6556, 2929, 6999, 2722, 4519, 2413,  366, 5627, 2440, 4600, 3372, 6891, 7445, 7061,
      8101, 6221, 3322, 3245, 6921, 3088, 6111, 3769, 8026, 4251,  879, 4156, 1646, 1816, 5768,  952,
      2009, 5045, 6532, 6536, 3103, 1568, 3155, 4180, 1535, 7694, 7556, 1337, 3575,  924, 5924, 3671,
      4587, 6582, 2888, 7041,  965, 3809, 2022, 7313, 2676, 3208,  922, 5638, 3028,  862, 3784, 4199,
      5831, 2768, 2081, 1205, 2706, 3567, 5875, 4355, 5919,  696,  146, 5636, 1679, 2302, 6655, 3235,
      6838,  947, 2935,   42,  734, 1867, 1002, 8000, 3137, 1289, 7909, 2812, 5753, 1712, 3118, 2760,
      8118, 6461, 4564, 3677, 4064, 3014,  428, 4039, 1860, 6717, 1009, 8112, 3135, 6141, 3341
   },
   {
      3553, 2983, 7019, 2685,  975,   38, 2863, 4384, 6032,  976, 5501, 3527, 8025, 2453, 2725, 1987,
      6674, 6310, 1927, 7796, 2327, 1894,  224, 2822, 4919, 3089, 4272, 7742, 6416, 1989,  285, 6217,
      7314, 7881, 6228, 3241, 2605, 3150, 7136, 7433, 1743, 1215, 2527, 1205, 4860, 7831, 2408, 7601,
      4699, 1562,  481, 1602, 7071, 3438, 2676, 3087, 6743, 4942, 2994,  156, 3851, 7699, 2996, 1019,
      7650, 6375, 4877, 1636, 6688, 4883, 1050, 7715, 6959, 4509, 5581, 6000, 1033, 6722, 8004, 3251,
      3182, 6761, 3907, 8172, 4325, 3266, 7802, 5732, 6080, 5713, 1407, 7390, 1255, 1564, 2093, 1183,
      6989, 3046, 5523, 7745, 7705, 4739, 5152, 2852, 5449, 2878, 3697, 6077, 8022, 2782, 5234, 6514,
      3567, 4175, 7893, 6909, 4743, 1645, 4342, 5941, 6395, 1867, 4179, 4630,  737,  723, 1265, 4694,
      2964, 3117,  688, 5790, 6290, 1161, 4235, 5154, 2335, 6294, 1699, 6155, 3470, 6907, 2441, 7916,
      1261, 3880, 1306, 6209, 4762, 2086, 4246, 5877, 4350,  715, 6394, 2400, 5753,   42, 2597, 2463,
      1268, 4043, 6723, 8093, 3167, 4215, 6330, 1672, 3061, 7329, 2495, 1815, 1521, 5032, 1073, 2472,
      4895, 6812, 5838, 7365, 5157, 4756, 4647, 1857, 6720, 4786, 4437, 3545, 1781, 5231, 7290, 6802,
      1617, 5786, 2376,  419,  758, 4539, 6407, 2025, 7655, 4879, 2080, 3338, 3540, 5788,  807, 6154,
      2360, 7862, 2854, 1124, 1153, 6851, 6057, 7269, 3776, 2890,  212, 3925, 3358, 2247, 7393, 1395,
      4842, 2099, 5472, 7571, 7144, 4051, 6623, 7346, 3074, 4294, 5683, 2849, 1029, 1293,  236, 7656,
      2919, 7508, 3295, 2341, 2318, 4616, 2365, 4497,  266, 2417,   61, 1538, 2835, 1540, 1504
   },
   {
      1020, 6932, 7922, 2719, 5047, 6326, 5835, 6497, 5188,  422, 3266, 8156, 1459, 7165, 1019, 5826,
      6530,  689, 5763, 3725, 4766,  884,  421, 6643, 4807, 5630, 8081,  240, 2716, 4239, 4795, 3031,
      2885, 4076, 3464, 3473, 1727, 7657, 5481, 7919, 7388, 4559, 6075, 5843, 1419, 1573, 6509, 6210,
      7637, 7376, 8065, 5004,  266, 5610, 6528, 2937, 7839,   69, 6934,  987, 4306,  941, 6707, 4463,
      6809, 7089, 5759, 6009, 3374, 6862, 4946, 5144, 5219, 7680, 7455, 5035, 2185, 5552, 4925, 4193,
      7579, 6084, 3432, 3404,  396, 7356, 6475, 5328, 2037, 4794, 1553, 6672, 1967, 4282, 3058, 1512,
      3373, 1976,  467, 1225, 3993, 3976, 3273, 3550, 6332, 2866,   31, 6640, 7435, 6258, 1028,  199,
      3557,  178, 2692, 4715, 3981, 2981, 1648, 1595, 3013, 1180, 7102, 3515, 1955, 1959, 3583,  960,
      3293, 5765, 5702, 1066, 6685, 6171, 2209, 1302, 7610, 6954, 2057, 4469, 3308, 2192, 3349,  963,
      1421, 4168,  134,   35, 4330, 7525, 6764, 6339, 1542,  999, 6941, 8011, 5377, 6076, 5644, 7355,
      5370, 2662, 4838, 6106, 4300, 5916, 2486, 4393, 1583, 3584, 1392, 1680,  631, 5058, 6757, 3050,
       688, 2291, 2792, 6929, 1236, 2270, 3638, 2189, 7604,  221, 5880,  487, 5147, 3908, 2355, 6730,
      1840, 1635, 3137, 7249, 5478, 3929, 4104, 4170,  988, 3724, 4180, 5856, 7152, 7935, 7674, 2959,
      4096, 1415, 1310, 4289, 5616, 4803, 5322, 2042, 6362, 7392, 4740, 4868, 6121, 5777, 5368, 5820,
      6046, 7310, 5972, 7115, 7181, 5521, 7502,  608, 1511, 7749,  699, 6401, 5414, 6611, 1923, 7784,
      1358, 5973, 5225, 3322, 7497, 7431, 6407, 2617, 5582, 4527, 6288, 6105, 3543, 3259, 7981
   },
   {
      5951, 5785, 7308, 8041, 7650, 3455, 2966, 2220, 5767, 4976, 1682, 1099, 7999, 2948, 3290, 1670,
      6167, 1308, 6626, 2619, 6864, 3361,  821, 6849, 3493, 5747, 7433, 6421, 3544, 4016, 6560,  859,
      4462, 6022, 2521, 7968, 4875, 6821, 1505, 6917, 5875, 4552, 6456, 4629, 4554, 2046, 2216, 4168,
      6518, 5985, 2222, 4206,   71, 6235, 2404, 4325, 5983, 6042, 7935, 5388, 4216, 4900, 4130, 5073,
      3237, 7071, 2272,   89, 3417, 2587,  536, 2792, 3188, 7261, 5001, 2122, 3006, 6286, 8142, 1737,
       477, 2227, 7076, 1081,  719,  369, 6566, 6966, 3886, 2805, 2892, 3596,  325, 3917, 3254, 1461,
      6501, 3113, 3063, 4027, 7718, 7848,  119, 1823, 1687, 1266, 5018, 2579, 2634,  315, 6310, 3705,
      6394, 7253, 1392, 7863, 5017, 6415, 4446, 3266, 6928,  443, 7922, 4788, 7660, 1696, 8062, 3707,
      5788, 2705, 3221,  275, 2071, 6345, 1862, 5862, 4624, 5136, 3468, 1713, 3570, 3161, 3577, 4790,
      5121, 3414, 2535, 1185, 6773, 4439, 1227, 3901, 4528, 2298, 4403, 7840,  646,  826, 5398,  546,
      7855, 7788, 2758,  757, 4244, 6009, 7274,  762, 2496, 3692,  997, 7945, 4526, 3399, 7556, 4412,
      3916, 2809, 8080, 3509, 1046,  878, 2593, 7461, 4441, 1032, 7730, 2472, 5319, 4579, 7684, 4819,
      5196, 1957, 2445, 1373, 2639, 4864, 1309, 3367, 4518, 1210, 7208, 5501, 7387, 2821, 7563, 4690,
      3109, 4480, 4536, 7522, 6374, 2200, 2112, 1457, 7452, 3331, 2429, 3741, 2784, 6758, 5971, 1074,
      2453, 2935, 5389, 1768,  134, 5859, 8074, 5960, 6946, 3709, 4654, 2407, 3308, 5786, 7306, 5527,
      1088, 1738,  728, 3896, 6129, 5676,  382, 2595, 5333, 8075, 6366,  774, 1685, 4494, 2294
   },
   {
      6681, 3873, 4312, 4630, 5554, 6181, 1447, 5437, 3064, 7190, 7335, 7906, 2742,  707, 6494, 7739,
      5524, 1650,  928,  332, 3241, 7060, 3444, 3429, 1563, 2468, 3044, 6019, 3411, 3747, 7642,  471,
      2016,  459, 2193, 2699, 1761, 4614, 3335, 8132, 2326, 2204,  811, 6611, 7469, 4896, 6256, 4808,
       614, 5551, 7430, 2426, 5974, 5016, 1832, 1932,  381, 7924,  786, 6438, 2295, 4070, 4557, 5103,
      4951, 3028, 6844, 7560, 1045, 3146, 4218, 6635,  812, 4442,   68, 5965, 2166, 7041, 7921, 6785,
      6442, 4344, 3137, 4140, 1739, 5408, 5234, 2182, 5505,  474, 3468, 6543, 5461, 3806, 5705, 6886,
      1607, 6961, 1233, 5360, 3129, 1343, 7708,  615, 5667, 8019, 4009, 5058, 7615, 4299, 8057, 4339,
      6650, 1515,   93, 7624, 7566,  905, 6591, 4688, 2817, 6196, 7774, 6064, 8172, 2071, 6921, 6232,
      3651, 2864, 7167, 4252, 8020, 7213, 2658, 6097, 8042, 3298, 2081, 7288, 2337, 1813, 2360, 7863,
      5748,  411, 7912, 5790, 6823,  711, 2493, 4239,  737, 4092, 5212, 4567,  825, 4421, 6815, 7475,
      2110, 4554, 1793, 2606, 5021, 3537, 3932, 5671, 4752, 1838, 3990, 3592, 5804, 3522, 5407, 2171,
      4289,  247, 4010, 7023,  681, 4693, 6701, 4811, 2800, 4019, 4411, 2736, 7713, 1754, 7184,  846,
      3551, 4365, 7625, 2948,  731, 7917, 6100, 7981,  834, 2264, 3213, 2683,  529, 2022, 2009, 4072,
      4874, 7805, 8140, 4806, 1822, 2667, 4663, 5926, 8101, 7796, 2560, 4509, 1549, 4863, 3723,  939,
       843, 6098, 6814, 4986, 6099, 1591, 1923, 3504, 3561, 5000, 4406, 8165, 4590, 1578, 6040, 6923,
      1384, 4610, 8088, 2179, 1499, 2755, 4027, 1436, 7828, 4427,  331, 5066,  240, 6287, 4792
   },
   {
      8125, 3199, 1702, 5843, 6818, 7038, 2859, 5544, 6025, 4930, 2896,  193, 5095, 4987, 7096, 3871,
      5670,  784, 7550, 7514, 5831, 6581, 6857, 1675, 1829, 5631, 3080,  493, 5080, 7255, 6001, 4837,
      7383, 2804, 6411, 7057, 4106,  696,  797,  613, 4044, 5897,  528,  179, 2959, 8045, 2549, 2351,
      3273, 3077,  573, 6946, 2430, 2499, 2171,  410,  829, 5460, 1756, 1205, 3674, 4577, 5760,  835,
      4845, 5083, 1099, 1731, 2353, 2375, 2015, 1344, 7432, 2340, 1942,  184,  798, 7074, 1642, 7582,
      4731, 1040, 1010, 6828, 3758,  327, 2371, 4388, 1866, 6255, 3730, 5761, 4053, 3959, 7123, 7228,
      7179, 1787, 7429,  153, 4444,  578, 6181, 6228, 2929, 4703, 6868, 3935, 4812, 1768, 4071, 5518,
      6331, 4939,  318, 5268, 4892, 4610, 6307, 3219, 2402,  942, 2434,  412, 4070, 4964, 7321, 7425,
      5748, 4387,  788, 6887, 5246,  764, 5954, 1508, 4461, 2916,   30, 6202, 2885, 5487, 7307, 4735,
       176,  975,  873, 5229, 7133, 3572, 4777, 4168, 5990,  732, 2901, 3559,  640, 2956, 4227, 7627,
      3886, 6267, 6979, 1517, 4139, 7075,  816, 1277, 2228, 6570, 7458, 2183,  287,  955, 5041, 3313,
      5058, 8169, 2994, 6940, 1986, 6918, 3785, 2910, 7479, 2361, 2112, 5617,   79, 6346, 3493, 6965,
      6335, 4077, 2085, 1399, 2560, 3859, 1538, 3538, 1366, 6562, 5326, 6568, 6458,  486, 1170,  786,
       245, 6750, 8156, 2926, 2024, 8152,  434, 6017, 2681,  512, 2414, 2689, 4414, 2628, 1949, 6159,
      2525, 3325, 4012, 1853, 5541, 5424, 7314,  769, 6833,  851, 5437, 4375, 4102, 4124, 3094, 5121,
       192, 4417, 5209, 2631,  310, 1295, 5342, 7839,   36, 2208, 4870, 7027, 6227,  898, 3029
   },
   {
      7624,  708, 4311, 1664, 6404, 2820, 2545, 7987, 5847, 8096, 7154, 8089, 5185, 4016, 7984, 7155,
      5697, 7964, 5396, 1812, 7427, 3140, 5754, 4632, 7789, 4845,  952, 2892, 6023, 6807, 4747, 4297,
      7959, 6001, 2452, 5225,  675, 6251, 4988, 7099, 3076, 5073, 2569, 2356, 3363, 7677, 7570, 5413,
      3822,  344,   70, 3982, 2074, 7828, 1034, 5953, 3439, 5147, 6579, 7972, 6526,  304, 5303, 3970,
      6005, 6113, 4064, 5016,  278, 5261, 2576, 3601,  430, 1165, 4602, 6589, 3615, 5650, 1359, 6238,
      7571, 5193, 6353, 2654, 1973,  906, 1397, 6372, 2757, 2966, 5838, 5371, 4783, 3229, 3947, 1787,
      1279, 2435, 4395, 7186, 3101, 8134, 5515, 7845, 1793, 4680,  121, 6440, 3528, 2260,  416, 6253,
      6422, 5584, 6147,  891, 6656, 4129, 2198, 4963, 7211,  971, 5738, 5469, 7346, 7441, 7818, 1499,
      4160, 1750, 2500, 6580,  407,  165, 5293, 6923, 8190, 6611,  792, 6470, 4720,  821, 5008, 1348,
      5094, 1929, 1417, 5693, 2972, 2256, 3132, 4136, 1611, 5994, 5103, 6625, 4414, 2900, 1920, 7724,
      1316,  886,  255,  632, 3531, 1102, 4218,  660,  126,  754,  338, 2269, 7627, 6252, 3861, 4713,
      7598, 5543, 7123,  797, 5687, 6100, 7655, 2971, 5135, 5282, 8136, 5934, 2866, 6354, 1249, 6542,
      8167, 2320, 2550, 3082, 4886, 5806, 8114, 2248, 2240, 5480, 4059, 4505, 2195, 1481, 7239, 5993,
      2120, 4388, 7975, 8028, 4032, 8142, 4890, 2787, 3408, 7368, 3011, 2197, 7928, 3197, 7539, 5521,
      4334, 6623, 4486, 7376, 1116, 4610, 3016, 6481, 6893, 6878, 3053, 3840, 3809, 5150, 4789, 5186,
      2346, 3888,  999, 4023, 3999, 7234, 7641, 3620, 3976, 2974, 7522, 1346, 6982, 6537, 7451
   },
   {
      4130, 2501, 6060, 6622, 6326, 2110, 6477, 5422,   56, 5737,  369, 5203, 3819, 3722, 2744, 2477,
      1495,  469, 1158, 2090, 4127, 4357,  594, 4229, 7274, 2217, 1061,  102, 1822, 5116, 7394, 5523,
      7388, 5954, 6928, 1384, 5257, 1904, 6520, 7476, 3277, 2874, 1094, 7785, 5935, 4601, 3814, 5461,
      7014, 7464, 3571, 4510, 2213, 6886, 7805,  193, 5490, 1263, 7521, 6650,  228, 1447,  893, 2709,
      1436, 4129, 6208,  836, 6173, 1028, 6032, 1058, 3556, 8099, 7486, 4846, 6765, 4988, 3197, 4540,
      5336, 5124, 2346, 4768, 5610, 7575, 8157, 1828, 2144, 4317, 3461, 4961, 5717, 3133, 3993, 7430,
      3373, 3338, 4213, 7874, 5626, 2598, 6327, 7824, 5234, 1587, 2613,  230, 6105, 3200, 5235, 2761,
      5435, 4165, 4776, 1807, 5870, 5775, 7891, 2789, 8149, 3134, 3893, 3969, 7284, 1100, 2522, 4284,
      3808, 5352, 1207, 3048, 3864, 3055, 3839, 5002, 4925, 1647,  565, 2297, 7676, 8088, 3020, 1165,
      7462, 2931, 1888, 6421,  495, 7072, 6692, 3758, 6185, 7403, 1356,  575, 2305, 6157, 1253, 7206,
      5942, 3728, 3702, 2542, 4465,    6, 5364, 7429, 2955, 1818, 3422, 1527, 7523, 4533, 2381, 3755,
      3899, 2375, 7344, 7275,  980, 2696, 4828, 5545, 7105, 2258, 1595,  243, 5939, 5395, 5377, 5647,
      3518, 3671, 2372, 3786, 5979, 7611, 2471, 4871, 7063, 1903, 2284,  475, 3490,  178,  810, 4811,
      2261, 6911, 7983, 1243, 4218, 3972, 3826, 3619, 6294, 5405, 3536, 1892, 4126, 5834, 6259, 4145,
      6577,  310, 3433,  512, 5972, 6356, 3596, 5832, 5182, 7529, 2307, 4280, 3914, 2809, 1666, 7371,
      4830, 4749, 4072, 1789, 7517, 5437, 5176, 2889, 2520,  110, 7303, 7626, 7382, 6901, 1657
   },
   {
      7593, 6547, 1130, 4893, 6612, 6915, 1885, 4797,   34, 2688, 1808,  895, 4042, 5652,  540, 3970,
      2306, 1480, 1525, 7394, 7011, 5539,  152, 7766,  253, 6105, 6353, 7130, 8138, 5733, 6426, 3255,
      6013, 6911, 2217, 4172, 6945,  661, 2366, 3592, 2872, 1736, 3300, 3148, 8086, 1033, 3822, 3849,
      5833, 5031, 3751, 5656, 4309, 6815, 5040, 6595, 2343,  678, 6682, 5905, 2827, 1005,  612, 4921,
      7563,  708, 1954, 4819,  527, 1684,  330, 6922, 3937, 2149, 7292, 4931,  610, 3025, 3549, 5774,
        78, 2449, 2392, 6278, 6257, 1313,  519,   19,  709, 7267, 7209, 4152, 2520, 4454, 3595, 5335,
       446, 6739, 4190, 7135, 2766, 6826, 7733,  244, 6339, 4700, 5627, 2124, 6264,  586, 5186, 4656,
      6411, 3789, 2210, 2179, 6982, 2161, 4676, 4146, 7002, 4128, 7559, 7934,  270, 2357,  342, 3828,
      5740, 7257,  695, 2689,  504, 3320, 5331, 1469, 5328, 2043,  327,  568, 7970, 2652, 7735, 1346,
      4762, 6053, 7962, 7991, 3545, 2123, 3877, 5924, 5043, 3082, 7833, 5722, 3018, 6793, 8164, 3441,
      2309, 2012, 1264, 6992,  836, 4160,  556, 5437, 5979, 1167,  132, 5015, 6440, 3107, 3922,  563,
         1, 6830, 5551, 1923, 5341, 5527,  487, 1058, 6573, 5134,  447, 6303, 7365, 5820, 7659, 7404,
      1976, 3160, 4704, 3323, 1832,  710, 2682, 6990, 6701, 2793,  721, 6675, 6745, 7635, 2841, 2031,
      2753, 3175, 5314, 2784,  658,  231,  840, 5259, 6498, 3702, 4758, 2961, 6663, 6999, 1074, 4440,
      2153, 2780, 2155, 5646, 2626, 8015, 2111, 2916,  297, 1330,  166, 6995,   69, 4655, 2129, 2172,
      3564, 4727, 7669, 4333, 5308, 7489, 2461, 2293, 3407, 1056, 8140,  697, 1193, 7369, 4954
   },
   {
      7372, 7259, 5756, 3511, 1374,   56, 7815, 2835, 5560, 4826, 4215, 7072, 3308, 2221, 3834, 5360,
      4704, 1257, 6060, 1446, 1228,  554, 6231, 3811,  665, 4933, 5684, 2467, 5008, 7886, 6440,  139,
      7859, 6087, 1298, 1679, 4245,  473, 2594, 7589, 6051, 3582, 7654, 7493, 2249, 6410, 4874, 3911,
      7486, 6342, 2058, 4770, 8039, 1488, 2775, 6101,  224, 3256, 4340,  938, 4138, 3074, 1366, 2461,
      1430, 7214,   21, 6709,  787, 2784, 6661, 7183, 3186, 1961, 3337, 3519,  983, 3689, 4792, 2706,
      2819, 2536, 4021, 6159, 3092, 1748, 2944, 1719, 4745, 3172, 3697, 1758, 1081, 6690, 5769,  760,
      4839, 4278,  308, 3861, 6797, 7980, 3799, 4289, 7541, 3740, 3785, 3598, 4824, 3833, 2847, 5629,
      7129, 3317, 2619, 1724, 3571, 2262, 4603, 5415, 6284, 6599, 1614,   60, 3247, 6359, 6632, 2810,
      2898,  488, 6389, 7718, 3112, 5503, 2061, 2059, 4459, 2957, 1759, 5942, 1347, 1524,  874, 7738,
      6570, 3283, 8126,  742, 1551, 5055, 1656, 4237, 2787, 3807,  886, 6746, 4119,  667,  948,  352,
      7566, 7751, 7690, 4497, 2984, 5873, 6803, 3184, 6097, 7501, 2940, 2605, 2233,  724, 2798, 5355,
      3574, 6605, 5931, 7347, 2418,  820, 2436, 1703, 6749,  223, 1548, 3043, 2378, 5565, 1018, 5124,
      1201, 8053, 3646, 3367, 2119, 7284, 2383, 6348, 1541, 7765, 8116, 4479, 4535, 6459,  751, 5163,
      7711, 3594, 6531, 5886,  840, 3381,  677, 5173, 5054, 2000, 6768, 3023, 8061,  686, 6071, 2533,
      2254, 7577,  503,  862, 7580, 7970, 6944, 2167, 3998, 5985, 4828, 3611, 3528, 4102, 7461, 2341,
      1494, 3937, 5050, 3341, 1932, 3698,  827, 4724, 3921,  981, 3108, 3647, 2330, 2634, 1089
   },
   {
      1461, 2441, 6180, 5301, 7478, 5799, 1509, 6008, 5743, 5948, 7658, 4851, 1512, 8005, 6032, 1206,
      3340, 7660, 2713, 5667,    2, 6493, 5926, 7620,  626, 6679, 1181,  131, 3157, 4644, 1007, 3472,
      1017, 2290, 2491, 6603, 4569, 7946, 3149, 2511, 7722, 5099, 4910, 5779, 7882, 1403, 1682, 2954,
      2850, 3685, 3738, 4142, 7276, 5540, 3749, 6426, 4097, 4880, 6384, 1013, 5850, 2777, 7740, 7861,
      3939, 1639, 7631, 6278, 2446, 7436, 6530, 1579, 8158,  781, 1693, 4758,    1, 8051, 3682, 2103,
      5280, 5423, 8130, 3375,  340, 1943, 4182, 6753, 7344, 3458, 6417, 6692, 6314, 5684, 1835, 6406,
      5921, 4414, 5160, 2918, 3445, 5555,    5, 4260, 2004, 7744, 4332, 7452, 3848, 5412, 7071, 1599,
      4190, 5816, 1853, 7968, 3821, 7026, 1698, 7133, 1776, 4541, 1804, 3070, 6886, 6776, 7362, 1334,
      2354, 7901, 2156, 3306, 2224, 5533, 5104, 2580, 7066,  830, 5969, 4296, 6079, 3024, 3022, 1169,
      6060, 6383, 7495, 3319, 6640, 1982, 2767, 1404, 5752, 5387, 5805, 3030, 7624, 7130, 4144, 2085,
      4046, 1032, 8159, 6716, 2807, 3794, 5860, 6444, 3513, 3356, 1730, 7091, 4211, 1556, 2733, 5213,
      3118, 5324, 2382, 4376,  715, 3965,  810, 3386, 1391, 1775, 7737, 5651, 5577, 7910, 5081, 1031,
      5008, 7649, 4126, 4585, 5002, 6219,   43, 6376, 3444, 5909, 4858, 5832, 4339, 1303, 2932, 6443,
      2768, 4456, 3278, 6408, 3200, 4609, 7386, 5706, 7446, 6976, 7639, 3081, 7908, 1090, 6266, 1751,
      6377, 1183, 7629, 3773, 5389, 4234, 5520, 4647, 2915, 6967,  766,  770, 3033, 3814, 3224, 4960,
      6880, 5220, 3322, 6577, 1193, 1528,  311, 7198, 6216,  682, 2102, 5681, 5669, 3882,    6
   },
   {
      5289, 1741, 7626, 1787, 7310, 7513, 6635, 4429, 1151, 5686, 1709, 3158, 3798,  512, 5649, 5106,
      1552, 1667, 3004, 5454, 3391, 3305,  729, 6303, 4078, 4120, 5241, 1878, 5995, 1937, 1804, 2960,
      1401, 5818, 6801, 6656, 3890, 7078, 3616, 1271, 1730, 1703, 7131, 1004, 7997, 1419, 7014, 1429,
      7339, 3694, 4522, 5928, 7500, 6811, 3180, 4248,  751, 5384, 3472, 5507, 6543, 8018, 6397, 4181,
      2573, 3691, 1351, 3350, 2786, 8052, 6489, 5416, 1365, 6797,  413, 3098, 1302, 6406, 3711, 5346,
      1734, 2423, 1621, 5236, 3185, 7603, 6727, 1149,  621, 6852, 2230, 2049, 1721, 2316, 5827, 2356,
      6531, 6607,  253, 2138,  150, 4701, 7187, 5019, 3186, 3539, 7744, 1677, 5408, 4270, 3707, 2234,
      1200, 7070, 1347,  848, 4101, 1407, 1723, 1228, 6847,   88, 3966, 7773, 7121, 7512, 1042, 3681,
      2939, 6176, 7309,  797, 6919, 2094, 2065, 4297, 5155, 1930, 2067, 3415,  704, 2807,  377, 7766,
      6527, 4009, 3459, 5960, 7722, 1277, 5596, 4501,   25, 3644, 4906,  227, 6059, 7537, 3837, 7018,
      7319, 1577, 5128, 7146,   15, 5587, 6138, 5530, 7929, 1350, 6206, 5076, 4942, 7297, 2520, 4306,
      2414, 7953, 4932, 1874, 5440, 5242, 5288, 2674, 2085, 4909, 2883,  995, 6260, 5353, 7067,  302,
      5562, 4381, 1001, 4868, 6199, 7534, 1903, 8110, 2866, 3104, 2931, 6739, 4119, 7157, 7793, 3589,
      2821, 3764,  330, 4907, 4185, 4622, 3031, 2420, 4406, 7125,  118, 3535, 5756, 4288, 7839, 7315,
      1582, 5323,  822, 6848, 4464, 5103,  747, 1475, 7003, 5049,  814, 7818, 6945, 6370, 6070, 2682,
      6025, 8060, 4129,   79, 1041, 6599, 1965, 7791, 2646, 7163, 6209, 3995, 5057, 1050, 2599
   },
   {
      7553, 3044, 4963, 7015, 2372, 3605, 4507,   46, 6087, 1855, 4742,  128, 4906, 2590, 2735, 3369,
      5872, 3024, 5049, 5840, 5048, 3841, 5037, 2924, 6302,  856, 4433, 7534, 6343,  645, 5817, 2964,
      5485, 2730, 1140,  697, 1392, 6288, 6217, 7832, 7711, 8021, 8154, 7155, 5628, 5249, 4146,  393,
       332, 1642, 5142, 6000, 5594, 5829, 7714,  500,  991, 6606, 2800, 7854, 3614, 4251, 6266, 5556,
       175, 6728, 3616, 2118, 1324, 6943, 8098, 2755, 6812, 5778, 1147, 2716, 2910, 4821, 1267, 7231,
      4549, 6627, 3943, 2183, 3952, 1421, 4933, 4830, 7573, 1804, 5159, 2696, 1524, 4437, 5146, 2488,
      2618,  196, 1276,  274, 4529, 8100, 6124, 4958, 7411, 2697, 1077, 6053, 1459, 4242,  975,  488,
      3207, 4838, 7994,  933, 6845, 2434, 7842, 3094, 4441, 2174, 4764, 8139, 4178, 2250, 1230, 1172,
      2185, 8031, 5687, 5869, 4075, 7718,  592, 6688, 3778, 3338, 3481, 5167, 2834, 5385,  668,  745,
      1511, 3883, 6368, 4954, 2458, 7400, 4640, 4622, 3407, 7053, 6570, 5785, 6455, 2667, 7638, 1368,
      7903,  632, 6119,  432,  673,  505, 1364, 6731,  363,  532,  317,  249, 2225, 6637, 4948,  155,
      7073, 7841, 4591,  731, 4962, 4069, 1731, 7778, 6476, 7345,  109, 5289, 3010, 7852, 2357, 2905,
      1591, 7255, 7503,  101, 4175, 4076,  186, 3240,  471, 5217, 3133, 5171, 4971,  279, 1279, 4382,
      7890, 5326,  289, 2112, 1681, 8114, 4135, 7930, 3701, 5251, 3428, 3698, 1182, 4108, 4633, 1964,
      6979, 6973, 8075, 6204, 5657, 4177, 6658,  534, 1012, 7643, 4976, 7084, 7364, 5451, 7389, 5436,
      5343, 8035, 3670, 3368, 3039, 2863, 1932, 4233, 7152, 3676, 1198, 5503, 7588, 6004, 2052
   },
   {
      1910, 4836, 2106, 6471, 5714, 2665, 5892,  933,  589,  640, 4273, 6751, 7132, 4279, 3527, 5844,
      3416, 5616, 7327, 4828,   48, 1416,  239, 3965, 7973, 3815, 4107, 4466, 6291, 6076, 4872, 5654,
       303,  218, 4791,  296, 1166, 1969, 5389, 3002, 4978, 6021, 7360,  603, 3342,   44, 5632, 4492,
      7410, 4737, 1600, 4505, 4820, 7148, 2834, 6211,  131, 3554, 7696, 4202, 2576, 2927, 1246, 6636,
      7661, 4790, 5772, 2026, 6345, 7296, 3195, 3488, 7056, 2587, 3357, 2559, 6970, 5864, 1609, 2859,
      5361, 4625, 6841, 2177, 3653,  502, 5480, 1375, 2597, 7965, 5768, 4778,   40, 2508, 7409, 6811,
      2247, 2115, 7442, 6564, 7330, 4685, 5986, 4060, 5904, 5806, 4340,   49, 1696, 7945,  223, 2456,
       552, 4013,  245, 2485, 4191, 5215, 5823, 1629,  910, 1374,  676,  306, 8103, 7991, 1013, 6837,
      4143, 2142, 5148, 4050, 3063, 4922, 1756, 6191, 2692, 2021,  352, 7182, 7669, 3798, 3963, 1208,
      3817,  545, 1260, 1144, 1463, 1021, 8035,  882,   66, 7292, 2087, 4175, 6660,  107, 5116, 2728,
      6265, 4255, 2997, 7998, 6087,  119, 7124, 1279, 1037,  857, 7658, 4256, 2628, 8025, 3711, 4939,
      8007, 7556, 7310, 5224, 7005, 2780, 6065, 1904, 6880, 6042,  359, 4417, 7501, 5322, 3020, 5735,
      6991, 4630,  479, 2140, 7498, 2843, 4736, 3392,  810,  943,  597,  667, 3885,  137, 1028, 2670,
      2881, 5254, 2618,  759, 2505, 4254,  498, 6212,  240, 3531, 3080, 5118,  224, 3244, 2799,  786,
      8081, 2520, 7352, 6064, 5739,  233, 5546, 4918, 1440, 7778, 5570, 2673, 6111,  941, 2154, 7426,
      2817, 1394, 2183, 4122,  670, 6106, 3069, 3650,  256, 3121, 4551,  503,  822, 8059,  993
   },
   {
      5210, 4439, 6113, 6762,  711, 6657, 3662, 7133, 5178, 2646,  181, 3366, 3286, 5748, 3822,  662,
      5502, 6136, 3546, 5925, 2849, 7620, 2561, 3064, 7447, 4850, 1935,  254,  745, 3294,  719, 1183,
      2375, 4983, 6868,  470,  703, 7867, 4569, 6804, 3305, 2049, 6539,  112,  412, 6702, 2686, 2814,
      3642, 5681, 5332, 5253, 4724, 3391, 7875, 5468,  578, 7918, 6653, 5766,  495, 2498, 3193, 7367,
      5485, 3424, 3138, 6208, 5909, 1969, 6961, 2548, 1387, 5323, 8032, 3079, 2785, 1773, 7202, 5801,
      1780, 6386, 5861, 1210, 8067, 2858, 1866, 4206, 3163, 7204, 3433, 6730, 5101, 4033, 4097, 7801,
       804, 3975, 1253, 1313, 3589, 1234,  951, 1156, 2186,  656, 2673, 6038, 6854, 5327, 5022, 6718,
      4698, 6724, 1968, 3957,  259, 2268, 8175,  665, 7498, 6994, 6776, 4829, 7396, 7578, 1939, 5523,
        32,  992, 2690, 5902, 4548, 2862, 7016, 7681,  701, 5362, 6726, 2647, 1651, 1456, 5014, 7670,
       537, 3463, 5978, 6533,  402, 1681,  248, 5163, 3144, 4936, 1982, 7503, 2469, 7850, 7968, 4590,
      2643, 6821,  812, 2336, 5246, 5777, 1165, 7027, 4539, 6343,  938, 6570, 5372,  752, 6816, 5780,
      5838,  747, 6878, 7434,  116, 5449, 7738, 6475,  900, 7831, 4160, 5143, 6598, 4902, 2510, 1058,
      2424, 7412, 2706, 1525, 1466, 6503, 5515,  907, 2122, 6629, 3739, 7654, 5917, 1927, 6452, 2836,
      4174, 3075, 5294, 5027, 1067, 4975, 5275, 1354, 5331, 5923, 4454, 4944, 1201,  756, 3679, 6403,
      4138, 1658, 3328, 6636, 6516,  163, 4628, 7983, 3047, 7733, 7798, 6645, 1570, 2152, 4580, 7832,
      2084, 7014, 5821, 7207, 4808, 4507, 5503, 1776, 7194, 6124, 4968, 7678, 4256, 3717, 7651
   },
   {
       293, 1928,  839, 5096, 3954, 7948, 5516, 3481, 3026, 8030, 1785,  116, 7932,   69, 2646, 5982,
      3763, 4681, 1390, 4628,  780, 6152, 5180, 2020,  791, 2278, 5382, 4367,  807, 6359, 2762, 3233,
      4058, 1322, 4399, 3948, 1164, 1102,  460,  279, 5515, 3682, 2820, 7759, 1786, 8119, 4287, 6444,
      2263, 6050,  597, 6869, 4625, 5300, 4054, 7380, 4445, 4601,  452, 7634,   99, 1743, 6431, 1271,
      5786, 6724, 6750, 7230, 5662, 3515, 2661, 1980, 4341, 5502, 1717, 2305, 6961, 7361, 1442, 3293,
      5848, 7167, 2069, 4413, 7737, 5108, 4152, 4682, 7527, 5827, 7541, 4298, 7871,    7, 6585, 5012,
      2532,  675,  154, 6275, 3185, 5607, 4321, 5347,  174,  831, 2259, 7786, 3607, 1876, 2169, 7744,
      1958, 6460, 6233, 4130, 3279, 5828, 2523, 2023, 4539, 5062, 2371, 4762, 2880, 7101,  285, 7375,
      6305, 4082, 3370, 3366, 7383, 7793, 1551, 2260, 7444, 7159,   77, 6322, 6491, 4602, 5930, 2266,
      5163, 5230,  563, 5947, 2831, 4164, 7801, 3234, 5121,  412, 1752, 2612, 7164, 5315,  972, 6270,
      1546, 1633, 2181, 4888,  644, 2996, 7852, 2679, 7897, 8054, 2748, 4860, 5184, 3084, 4209, 5061,
      3074, 2237, 2857, 4674, 6962, 3447, 5926, 7658, 8072, 2175, 7707, 5386,  218, 7131, 4102, 4706,
      6021, 4878,  352, 4230, 4104,  641, 7417,  410, 6822, 5659, 3934,  537,  319, 6170,  473, 3514,
       289, 7210, 6689, 3644, 1252, 5894, 7753,  185, 2720, 8114,  717, 5297, 8169, 6964, 2416, 5566,
      2623, 2213,  123, 2799, 2282, 2582, 4232, 2094, 6663, 7291,  586, 6843, 3294, 6803, 3332, 7752,
      2490, 4395, 7846, 4690, 1367, 2150, 2285, 4098, 1764, 7389, 1476, 7944, 5917, 3951, 4345
   },
   {
      4429, 3172, 6590, 6409, 3584, 3272, 6950, 2138, 4309, 7661, 7462, 4506,  246,  799, 3667, 2723,
      4956, 5974, 4008, 1555, 1544,  986, 5232, 5436, 3830,  999, 3877, 2572, 1450, 6586, 7756, 4904,
       390,  463, 4413, 5442, 4746, 1854, 7804, 5693, 6329, 8008, 6967, 5245,  872, 4336, 4434, 1956,
       942, 1992, 2991, 4377, 6438, 5495, 7346, 7131, 2351, 4590, 7511, 5671, 7550, 6837, 3501,   14,
      2156,  344, 3030, 8000,  677, 7054, 7681, 6093, 6185, 2955, 1164,  219, 1409, 4693, 2045, 1698,
      3850, 2316, 4651, 2338,  898, 4688, 5178, 6432, 1487, 1222, 5770,  426,  863, 1574, 6634, 6414,
      6737, 8080, 4641, 4959, 4760,  481, 7044,   17, 1642, 5434, 2664,  181, 4200, 7695, 2059, 1087,
      5794, 1503, 1610, 6203, 4043, 6562, 2469, 4768, 4618, 5047, 4187,  749, 4088, 1111, 7832,  162,
      5067, 2869, 2341, 4086, 1543, 5502, 3044,  199, 2477,  776, 5296, 1896, 5461, 6621,  330, 5587,
      3587, 6003, 4135, 7584, 1376, 1469, 6324,  302, 1126, 2250, 2722, 7714, 4630, 3998, 6026, 6841,
        98, 4299, 2831, 6379, 6885, 1859,  603, 5843,  503, 2935,  468,  814, 2621, 1285,  474, 2335,
      3908, 8013, 3148, 7711, 6872,  580, 6561, 5833, 8028, 6859, 3885, 5971, 7569, 2392, 7114, 7612,
      3556, 5394, 1134, 7411, 6968,  720, 6334, 3459, 4782, 4145, 7472, 7355, 7317, 6271, 4273, 2958,
      6979, 5986, 7903, 3279, 7067,  627,  797, 7962,  740, 1420,  342, 4393, 6535,  138, 3296, 6991,
      3185,  914, 8096, 2497, 3324, 6091, 6176, 1081, 2929, 6302, 7913, 4154,  734, 2865, 5448, 5704,
      2510, 6489, 7665, 6800, 1143,   33, 1442, 5331, 4660,  261, 6092, 4850, 6369, 3286, 6255
   },
   {
      4177, 2981, 3659, 4576, 7694,  943, 5537, 1608, 5457,  495, 6091, 6818, 6808, 4573, 6661,  237,
      2663,  795, 4695, 1594, 5612, 6272, 6626, 4223,  355, 1566, 7132, 3750, 6878, 5538, 4715, 5510,
      7495, 1458,  600, 7437, 1325,  941, 7696, 5768, 3955,  318, 2325, 6792, 1535, 3460, 3608,  333,
      4500, 4957, 2961, 6116, 5156, 7541, 7916, 3438, 6494, 3977, 7618,  610, 1120, 7053, 3486, 8010,
      4357, 5110,  817, 2143, 2827, 6076, 3759, 4836, 8092, 3276, 7074, 3333, 3374, 2851, 3139, 1182,
      6485,  390, 1223, 7480, 6490, 1703, 5690, 2059,  448, 6174, 1664, 4402, 7885, 5918, 2178, 1230,
       673, 2323, 2156, 5296, 5546, 6411, 1962,   82, 3761, 6799, 5771, 6184, 7213, 6102,  496, 7698,
      2412, 1807, 5934, 5910, 1981, 7893, 2504, 8161, 2995, 6984, 2040, 3706, 5640, 5347, 2938, 7802,
      3369, 4504,  932, 4949, 1706,  960, 2633, 5677, 2034, 4757,  842, 1863,  255, 4920,  547, 7205,
      4346, 5620, 3507, 6806, 8037, 6061,  557, 1422, 5579,  510, 3457, 6803, 5837, 4842, 6278, 3189,
      7658, 4647, 3699, 2676, 1831, 5251, 2013, 7838, 1810, 4016, 4975, 4984, 1634, 1737, 4545, 3390,
       128, 3191, 3959, 5715, 5545, 4666, 3700, 1169, 6957, 2544, 4253, 3119, 3197, 1898, 6036,  951,
      4775, 6163, 6158, 2160, 7357, 3501,   97, 3832, 5195, 5671, 5514, 4171,  441,  865,  172, 5594,
      4176, 6254, 6270, 4035, 6439, 6843, 2775, 4128, 6421, 1790, 7538, 1746,  257, 2642, 7926, 3292,
      6707, 2276, 8002,  102, 1928, 3137, 4022, 8054,  740, 7425, 5388, 2532, 6772, 7232, 5335, 2038,
      7315, 3538, 1499,  141, 1471, 4463, 1174, 3155, 4907, 1157, 3877, 2753,  791, 6112, 7957
   },
   {
      2218, 7103, 7312, 5173, 1034, 2935, 3794, 3565, 4533, 6803,  823, 1290,  256, 6004, 1445, 3734,
      4908,  626, 7978, 5802, 3251, 7411,  687, 4020, 1959, 4126,  943, 3398, 6157,  182, 3006, 6874,
      6558, 8151,  697,  801, 5166, 3122,  134, 5214, 7225, 6425, 4009, 6660, 1396, 6474,  926, 7868,
      1389, 3830, 2290, 1970, 3648, 1323, 3492, 1135,  956,   37, 1236,  453,  539, 2205, 7500, 3586,
      2920, 1211, 5302, 6467, 3211, 7951, 3552, 5944,   67, 7114, 4461, 2511,  606, 5454, 3457, 5769,
      8081, 2115, 5874, 6804, 6920, 3588, 3248, 1594, 6967, 3601, 5591, 3106, 7684, 2199,  245,   53,
      6691, 6369, 1259,  434, 3954, 5109, 7953, 6282, 1219, 6527, 1121, 2761, 7572, 6380, 3198, 7040,
      2228, 6894,  365, 8034, 5177, 4625, 3142,  531, 3997, 2486, 4292, 4515, 6027, 4162, 2848, 1067,
      6744, 6225, 3059, 4524, 1274, 6561, 7799,  425, 5128, 2711,   24, 7689, 7476, 3082, 1407, 4055,
      8119, 1927,  937, 6866, 7972, 3704, 4655, 3436, 5777, 7804, 1824, 2798,  498, 7435, 1756, 6593,
      7236, 4924, 6954, 6334, 1755, 6998, 5017,  324, 5967, 4429, 7660, 7168, 5866, 3092, 6690, 2823,
      5818, 7269, 2933, 7073, 5526, 5485, 1876, 7442, 6574, 1626, 5580, 4411, 1265,  334, 6940, 1324,
      6707, 2568, 6350, 3336, 4675, 4776, 3621, 7104, 1023, 7075, 6250, 7981, 5910,  352,  397,  328,
      8190, 3847, 6261, 4195, 7653, 4051, 6595, 6801, 6564, 4571, 4071, 4313, 1844, 3393, 5919, 3768,
      5410, 7895, 2393, 7766, 2552, 5348, 1503, 3629, 3264, 1801,  227, 1330, 2579, 3991, 2456, 1000,
      6461, 7523, 6093, 7845, 1163, 7961, 8031, 2671,  795, 6875, 1714, 5877,  232,  860, 4618
   },
   {
      5707,  397, 6390, 1078, 4573, 3973, 4928, 2411, 3663,  114, 5657, 7490, 6752,  384, 4310, 1594,
      4516,  405, 2139, 6795, 6857, 1216, 7644, 7708, 7566, 7216, 3268, 2732, 4431, 4911, 7426, 3221,
      5683, 6307, 1751, 2555, 6249, 2214, 2450, 4321, 3501, 6787, 1718, 2332, 7770, 3337,  318, 1049,
      3975,  480, 3228, 1527, 6101, 6353, 4925,  387, 1343, 7368, 3622, 7032, 1064, 7726,  441, 7164,
      1228, 3543, 1800, 3784, 8013, 2229, 4660, 4152, 2158, 5405, 8010, 5442, 6099, 2470, 6031,   60,
      3132, 4063, 6094,  735, 3606, 7374, 2458, 8039, 1737, 3032, 6640,  851, 4419, 6649, 5806, 4682,
      5788,  861, 6293, 7898, 2254, 6433, 6196, 7323,  382, 5601, 7622, 2263, 1309, 3204, 3227, 7488,
      4552,  271, 7183, 4265, 6239, 6212,  855, 3244, 5574, 4191, 1166, 6898, 5482, 2412, 3326, 7438,
      5098,  157, 6808, 5987,  434,  190, 3439, 4630, 5760, 2993, 1578, 6494, 7909, 5258, 7957, 3707,
      1420,  300, 2678, 3798, 1795, 6545, 2641, 2826, 1600, 1150,  241, 1027, 3169, 2044, 1623, 7538,
      6481, 7642, 8148, 3180, 7306, 3089, 8003,   72, 2132, 1137, 1167, 1809, 3840, 3968, 6764, 3464,
      2581, 2657, 5935, 2441,  707, 1699, 5936,  703, 7094, 3381, 2444, 5248, 2353, 1948, 3857, 6920,
      2859, 3613, 6110, 1858, 2595, 3145, 7813,  332, 7797, 7494,  146, 2015, 3956, 1384, 6012, 7245,
      6136, 4650, 5815, 5181, 1561, 6334, 1694, 6234, 3878, 5884, 2967, 7380, 3261, 8124,  482, 4228,
      3858, 4132, 2059, 5913, 6536, 8048,  324, 3067, 3484, 1805, 2996, 1866, 3027, 7412, 6525, 6723,
      6395, 6719, 7836, 4956, 1386, 7853, 4344, 4869, 4287, 1671, 2043, 2048, 2830, 4416, 5865
   },
   {
      1226, 4207,  823, 7944, 5573, 4200, 3706, 2903, 5120, 2277, 4923, 7982, 2643,  565, 8138, 6431,
      5710,  376, 5286, 1387, 5175, 1835,   87, 3780, 2874, 3205, 1257, 7404, 5564, 1890, 5180, 2156,
      2450, 3427, 4396, 3327, 2877, 1821, 4012, 4562, 7538, 3924, 1200, 4900, 2352,  475,  924, 6334,
      4142, 6008,  220, 5758, 1721, 6124, 4033,   36,  605, 3582, 7591,  424, 3940, 1906, 3649, 6119,
      1532, 5009, 2952, 7055, 4344, 6679, 1408, 6617, 8148, 4700, 7037, 6646, 7642, 2381,   21, 3414,
      4166, 6981, 1800, 5295, 6559, 7418, 1830, 6026, 2348, 4876, 3790, 6088, 1332, 5787, 6163, 6776,
      6562, 1446, 4576, 3677, 1401, 3762, 3355, 6264, 6766, 4324,  838, 2532, 3484,  938, 3834,  907,
       344,   45, 5575, 3788, 6805, 6893,  539, 1179, 8164,  736,    2, 6512,    7, 7439, 4182, 1463,
      3692, 3142, 8158, 2407, 7277, 4645, 6757, 2073,  767, 3275, 7963, 4064,  703, 3712,  852, 7740,
      7214, 4310, 7464, 2395, 7676, 4306, 6417, 5679, 2586, 3009, 7942, 3955, 6891, 6782, 6477, 2139,
       109, 7039, 2910, 7643, 5924,  310, 2867, 3656,  755, 3813, 5671,  856, 6709, 2291, 4553, 1683,
      6340, 1247, 1092,  243, 6002, 7041, 7456, 1672, 6385, 6639, 4430,  386, 7644, 5863,  469, 7597,
      5991, 6869, 6701, 1464, 3532,  151,  666, 3085, 6045,  238, 6609, 5353, 2800, 6937, 4585, 7364,
      7650, 6300, 1892,  168, 4444,  562, 5524, 7142, 5038, 5607, 5429, 8094, 1024, 1494, 3360, 6488,
      1710, 7739, 1938, 7622, 2778, 3567, 3215,  106, 2938, 6684, 6818, 3444, 6013,  817, 1785, 7584,
      8010, 6424, 6553, 2681, 1007,  277, 4056, 5563, 1606, 5101, 1622, 7805, 7213, 3809, 4419
   },
   {
      2822, 7430, 3620, 3277, 8126, 4719,  910, 7376, 1296,  262, 2553, 5249, 4388, 7056, 7158, 2701,
      7348, 1862, 3645, 1100, 4571, 7771, 4230,  126, 3279, 3986,  377, 2294, 6122, 5379, 4711, 3964,
      5820, 5204, 3173, 6495, 5853, 2264, 4162, 7192,  265, 2423, 1343, 3342, 8087, 4342, 4710,  129,
       588, 3253, 3694, 2311, 4087, 1216, 2687, 1606, 6750, 2341, 5386, 3006, 4616, 4449, 3117,  110,
      3171, 4035, 3643,  686, 5239, 8187, 3847, 7031,  598, 2543, 7026, 7318, 6801, 6092, 1580, 5298,
      1032, 4329, 1380, 8102, 1921, 2438, 3589,  985, 1300, 6262, 2151, 1729, 7485, 6433, 1471, 7721,
      6692, 2830, 1292, 5389, 8107, 2237, 4154, 5591, 4519, 2522, 3205, 8000, 7854, 1511, 7961, 5675,
      1057, 7184, 7933, 4135, 2583, 7383, 7515,  237, 7133, 2539,  550, 7807, 6267,  503, 2953, 6882,
      6448, 7784, 3875, 4706, 7321, 6367, 3103, 6575, 8039, 1315, 8042, 1217, 7585, 1687, 4437, 1137,
      4681, 4489, 2165, 4984, 3996, 1944, 6787, 1369, 2434, 1118, 2506, 3330, 5711, 6774, 4480, 5755,
      6363, 5576, 2251,  234, 1320, 6316, 3843, 3126, 1437, 1247, 2360, 3304, 1869, 4628, 5659, 6458,
      3794, 1923, 5620, 7480,  842, 4852, 2896, 4152, 6067, 4566, 6249,  980, 7000, 2964,  316, 1681,
      6560, 6181, 6097, 5420, 2689, 8185, 2925, 2019, 1831, 7317, 6310, 6019, 5776, 2679, 4291, 2725,
      4597,   81, 8053, 4020,  749, 1384, 6414, 6770, 7804,  801,  595,  518, 2046, 1713, 7646, 5332,
      2939, 3895, 1038,  252, 7212, 7796, 2524, 3458, 4384, 7557, 3335, 1723,  235, 6437,  406, 5950,
      2290, 6151, 6693, 4918,  511, 4830, 1855, 3598, 4167, 2803, 4482, 4791, 7304,  691,  514
   },
   {
       176, 3181, 2216, 3530, 3894,  706, 6400, 5986, 2331, 3449, 2371, 3953, 5814, 6195, 6874, 5331,
      7055, 3528, 4020, 2229,   36,  187, 2038, 3981,  253, 1651, 1729, 7665, 5022, 3453, 7374, 2980,
       938, 2663, 8095,  788, 2961, 7253, 7393, 4319, 1987, 6158, 6075, 4349, 6822, 6710, 7139,  702,
      5779, 6542, 6381, 6249, 2863, 1757, 5700, 7272, 3828, 5578, 6566,  397, 1516,  504, 6212, 5161,
      2600, 7636,  491, 6665, 3185,   64,  292, 1004, 3014, 6913, 7785, 4597, 7590, 1393, 1679, 4563,
      4248, 2443, 4558,  415, 2930, 3722,  138,  889, 5406,  282, 8032, 1569, 2376, 1365, 1635, 3872,
      1123, 3796, 8006, 8112, 7015, 4425, 4039, 6853,  482, 5258, 5998, 2537, 4053, 1911, 6694, 7452,
      6385, 6969, 5139,  802, 7630, 1830, 1297, 4599, 7649, 3176, 7783,  914, 2481, 5214, 3048, 4578,
      2145,  185,  421, 2642, 8104, 3587, 5830, 6737, 1605, 5134, 5863, 1740, 3448, 6926, 7057, 5359,
      1142, 4105, 7986, 6626,  666, 1781, 3644, 3450, 2834, 7083, 2240, 5940, 6058, 2227, 3779, 7149,
      6998, 2148, 4831, 4447, 5071, 3500, 3914, 7904, 8125,  806, 3704, 7036, 6387, 2393, 4592, 7264,
      4897, 1962, 1246, 4067, 1476, 2928, 5023,  161, 1678, 4942, 1583,  341, 4417, 8164, 6723, 5393,
      4220, 6944, 2720, 3586,  815, 7691, 1877, 3724,  274, 1812, 7738, 7508, 1198, 4382, 1738, 2201,
      6834,  390, 4627, 5694,  359, 3073, 3019,  371,    9, 3659, 3608, 1132,  338, 1193, 1082, 3302,
      1277,    7, 4999, 7585, 5509, 2097,  107,  546, 4015, 7538, 5286, 3636,  329, 5806, 6175, 3379,
      2156, 1025, 5951, 4044,  361, 5723, 7009,  548, 5264, 1904, 7605, 5158, 2388, 6016, 1668
   },
   {
        71, 1824, 7685, 5826, 1259, 5567, 7080, 5641,  936,  183, 4299, 1534, 1175, 3441, 3986, 2201,
      2502, 5458, 4724, 5657, 8130, 6077, 7625, 7942, 6636, 4091, 3032, 1573, 7003, 4794, 3843, 7766,
      5598, 7616, 4799, 2667, 1378, 1345, 3595, 5435,   13, 5740,  246, 1185, 5215, 1923, 7365, 8148,
      5729, 5375, 7969, 1391, 2088, 6491, 7949, 1648, 2029, 6088, 1299, 5198, 3507, 1081,  271, 2015,
      5895, 6407, 2914, 6510,  908, 6635, 5544, 1614, 4895, 7549, 6784,  399, 1817, 7698, 6352, 1526,
      3996, 3147, 4359, 3079, 5810, 2320, 7794, 7423,  450,  256, 5921, 3355, 7424, 4501, 6133,  744,
      1740,  753, 7541, 2479, 2649, 5575, 2012, 3782, 3299, 7976, 1514, 7039, 1421, 3482, 8108, 3624,
       566, 1004, 7441, 1013,  350, 7244, 4732, 6700, 5101, 4070, 3493, 4555,  482, 2361, 4709, 7324,
      6317, 5600, 7032, 1918, 3415,  241, 2849, 3898, 2491, 6527, 2430, 2631, 3841, 1536, 5324, 3938,
       377, 6645, 5999, 2192, 7379, 2475, 8041, 6236,  529, 6606, 3523, 7485, 2319, 2332, 1506, 1463,
      7779,  718, 1867, 2961, 7071, 5225, 8081,  254, 6401, 3590, 6663, 2617, 2968,  421, 3042, 1714,
      1924,  571,   16, 5088, 6462,  107, 4568, 3644, 4511, 1145, 3200, 7788,  997, 4885, 4479, 5325,
      1405, 5983, 3979, 3252, 6566, 7149, 4813, 1362, 7011, 6925, 7067, 3087, 1622, 1942,  786, 8090,
      6301, 7150, 7087,  412, 2044,  530, 6354, 6247, 5726, 1578, 4449, 7282, 7883, 3387, 2725,   61,
      5751, 2707,  143, 2042, 5015, 4423, 2180, 3730, 6766,  773,  691, 7715, 7483, 1995, 2293, 1485,
      6428, 7308, 3637, 5609, 6485, 2417, 4856, 7643, 6456, 4593, 4796, 4903, 5103, 6021, 8101
   },
   {
      6432, 3084, 2942, 4634,  618, 1760, 6784,  403, 4038, 6585, 6204, 1822, 8046, 7335, 2773, 3722,
      4751, 6163, 3153, 5285, 1161, 2417, 4475, 7428, 7451, 7975,  600, 7989, 7301, 6706, 3171, 1245,
      7161,  801, 6842,  565, 4458, 4419,  201, 7771, 3709, 2964, 8010, 6464, 4593,   50, 2802, 3319,
      1038, 6489, 5650, 2998,  417, 2009, 6419, 5067, 1349, 2212, 1541,  386, 1901, 3330, 7554, 4429,
      5528, 2110, 6714, 3017, 2503, 6400, 5262, 5091, 6941,   32, 7868, 7905, 3830,  919,  999, 6398,
      5801, 1151, 7798, 2375,  127, 6829, 4000, 4386, 2628, 1314, 6594, 7974, 4208, 4950, 5628, 6882,
      1793, 1775, 5211, 4414, 3012, 5157, 5277,  481, 4722, 7814, 3549, 3823, 4773, 1357, 2883, 3656,
      1946,  862, 3226,  603, 7964, 4985, 3963, 5810,  304, 4735, 2165,  875,  635, 6793, 6848, 5629,
       274, 7392, 4771, 2454, 5311, 1288, 8107, 6623, 5595,  727, 3362, 3817, 4731, 2192, 3505, 3492,
      3023, 4544, 6947, 5490,  911, 1845, 7873,  827, 6753, 5469, 6847, 2764, 3540, 6108, 6983, 7443,
      4843, 3710, 5464, 4058,  866, 3956,  765,  670, 3363, 1892, 6956,  495, 4096, 7528, 7702, 6046,
       198, 5764, 2897, 6886, 2431, 7112, 4292, 5093, 7226, 4912, 7614, 2807, 1948, 4813, 2323,  988,
      7924, 6634, 2846, 2563, 4718, 5048, 2851, 1917, 3097,  544, 4509, 3508, 1698,  659, 4573, 2769,
      4982, 5338, 4993, 3807, 4200, 7101, 2034, 5491,   55, 1509, 4404, 1640, 5006, 1129, 3261, 5288,
      5749, 5200, 3144, 3943, 2208, 4876, 6824, 2736, 6220, 6665, 1920, 1721, 6860, 7773, 5102, 2919,
      5753, 1598, 6670, 3175, 5561,  660, 4660, 1511, 1091, 1118, 2058,  267, 2155, 4305, 2384
   },
   {
      1743, 2346, 6341, 4192, 7680, 2598, 3122, 2284, 4718, 5407,   60, 7771, 3894, 5392, 2293, 3766,
      6184, 7811, 8117, 7158, 5514, 4065, 6053, 5723, 8022, 6490,  597, 3004, 2928, 7737, 1529, 7196,
      5495, 6803, 6106, 4539, 3687, 2601, 6769, 6365, 1133,  464, 4023, 3502,  256, 7840, 4463,  311,
      3033, 5048, 6420, 1784, 2452, 4630, 5527, 7645, 2064, 8180, 6953, 3764, 4704, 6781, 7799, 3036,
      7631, 1321, 6428, 2788, 1548, 5354, 7467, 5380, 3571, 7204, 2875, 5037, 2207, 3582,   97, 7649,
      6095, 5434, 6016, 7040, 7882, 3046, 4640, 3889, 2390, 6299,  814, 2041, 2217, 3182, 3179, 4323,
      1637, 1414, 7465, 5810, 5548,  654, 2327,  533,    7, 5877,   56, 1657, 1095, 3996, 3161, 2677,
      8083, 1738, 7791, 6638, 7627, 7483, 4683, 5509, 3710, 2943, 4860,  269, 2416, 4675, 5142, 2438,
      2023,  827, 4446, 4762,  958, 7515, 5165, 6609, 1772,  378, 3811, 1149, 5734, 6727, 2006, 6046,
      7681, 2149, 3548, 4715,  799, 2673, 7553, 1604,  170,  747, 1508, 3669,  411, 6118, 2153, 2856,
       644, 5742, 1340, 7410, 2436, 2513, 2259,  886, 7667, 5006, 3358, 3888, 6548, 2035,  217, 7280,
      4191,  938, 5349, 6607, 7938,  178, 2514, 7996,  921,  813, 5712, 4207, 1768, 1207, 2202,  475,
       383, 4299, 3418, 1078, 7444, 2339, 7317,  322, 7087,  283, 5239, 3681, 1503, 4092, 2316, 2887,
      3953, 4820, 6458, 3549, 6642, 5369, 6595,  135,  343, 6128, 7002, 5254, 3276, 4643, 3496, 5636,
       655, 6271, 4522, 1574, 6958, 2211, 5359, 7192, 2388, 5711,    4, 7457, 7353, 2630, 6202, 7637,
      4331, 7400, 7191, 1955, 5462, 4799, 5208, 2245, 7175, 4456, 8069, 7591, 7220, 3760,  707
   },
   {
       468, 8083, 2418, 6162, 6348, 7417, 5393, 5581, 7555, 1848, 1786, 2103,  654, 6953,  884, 6895,
      1981, 4332, 6100, 4193, 1325, 5824, 6999, 2215,  310, 6744, 1908, 4534,  117, 2218, 2353, 5623,
      4932, 1056, 5696, 3014, 4562, 3774, 2621, 1423, 5006, 4751, 1238,  376, 5834, 4916, 5030, 2579,
      1952, 6116, 1409,  850, 4158,  418, 2677, 6920, 7720, 5125, 2207, 1100,  107, 6180, 5229, 6401,
       465, 6439, 2469, 5110, 6482, 2825, 2804, 4813, 1610, 6603, 5829, 1105, 3995, 1642, 7620, 1079,
      5933, 7900, 2048, 4692,   45, 6974, 3482,  952, 5432, 5807, 2584, 2757, 1692, 2992, 7907, 1455,
      7365,  388, 7006, 7680, 2168,  802, 3443, 5180, 7155,  933, 4992, 1805,  959, 5451, 4705, 3914,
      5510,  548, 2121, 7261, 4672, 6129, 1226, 1137,  782, 5127, 4989, 4867,  927, 2823, 6762, 3634,
      7379, 5217,   67, 2535, 3094, 2127, 6997, 4764, 2141, 5545, 8152, 3826,  516, 7350, 4036, 6624,
      1906, 1702, 2482, 7558, 3223, 6979, 7765, 7500, 2636, 1443, 5176,  232, 6723, 3289, 7122, 3277,
      7313, 1863, 7339, 7642, 3357, 2255, 3567, 5632, 7264, 7913, 4954, 5690,  761,   33, 3595, 4446,
      3969, 2349, 2193, 6098, 2827, 5401, 2239, 6460, 2006, 5078, 1445, 2447, 5950, 4840, 3049, 1505,
      2673, 3359, 1099, 1822, 1820, 2077,  860,  512, 1915, 6698, 4805, 6283, 5650, 4596, 2058, 4986,
      2446,  627,  433, 2252, 3287, 7086, 7310, 4282, 4750,   78, 3224, 7999, 3124, 6717, 4673, 2244,
      3933, 1724, 2321, 5002, 2851, 4649,  688, 7386, 3045, 2500, 6885, 3409, 2022, 5175, 7431, 7219,
      3560,  240, 4085, 1139, 7152,  337,  504, 5138, 5701, 4469, 7189, 6095, 5058,  547, 3916
   },
   {
      6070, 4603, 7847, 1372, 4913, 4739, 5662, 5994, 3611, 3529, 4234, 5026, 2291, 4814, 7608, 7273,
      4898, 6908, 5516, 2916, 5403, 7982, 5777, 2590, 1341, 6535,  426, 3256,  339, 7871, 2551,  307,
        89, 2836, 2652, 6565, 3796, 3243, 1127, 1578, 1714, 4631, 1552, 7034,  221, 2914, 3413,  136,
      2557, 3768, 2220,  467, 4701, 3915, 6562, 5735, 7218, 5106, 7938, 1453, 6081, 6262, 1405, 4844,
       711, 5585, 4221,  923, 3570, 2668,  907, 6836, 6046, 1894, 7964, 3386, 4641, 4526, 1662, 3358,
      3598, 5526, 3031,  672,  804, 3604, 6275, 2866, 8050, 7868, 7883, 4513, 2201, 6729, 2760,  776,
      2967, 6040, 4777, 6620, 5941, 5232, 4758,  943, 6050, 1141, 6110, 6448,  704, 6708, 5482, 1650,
      7693, 2392, 1399, 1742, 5438, 6910, 2017, 3741, 7194, 3509, 3698, 1201, 6064, 2434, 2694, 1107,
      2924, 5200, 2323, 7002, 6766, 4299, 2638, 4180, 8117, 4764, 3262, 3773, 2970, 4319,  417, 4734,
       715, 2067, 5371, 5250,  321, 6329, 4966, 3476, 2123, 2944, 4694,  309, 3820, 3814, 7508, 7939,
      2303, 7179,  505, 4719, 6786, 6142, 5380, 6397, 7885, 6223, 3124, 4104, 4069, 2057, 5341, 4522,
      5278, 6340, 4658, 8009, 3333, 8185, 1093, 2465, 7619, 8069, 5911, 4947, 7691, 4732, 7391, 1406,
      1383, 2719, 3257, 6943, 2215, 8087,  239, 4272, 2518, 3276,  511, 3369, 7417, 4064, 8180,  750,
      6061, 4148,  275, 3862, 1772, 6151, 6638, 4685, 3722, 2031, 7835, 2126,  833, 4534, 3995, 1505,
      4689, 2191, 7681, 6079, 2898, 7676, 6265, 7785, 6412, 5434,  887, 6179, 3250, 1933, 2187, 6342,
      2879, 1087, 3480, 6154, 1482, 6934, 5760, 4670, 4578, 3710, 3054, 6918, 3517, 1443, 1809
   },
   {
      4217, 8073, 6644, 6628,  551, 7520, 2045, 2252, 5100, 1233, 1572, 3138,  189, 7610, 5353, 7571,
      7004, 5949,  410, 1867, 3105, 5839,  430, 2420, 3434, 6316,  371, 7551, 7808,  439, 7138, 2125,
      1538, 1340, 6020, 6212, 5228, 2715, 1363, 2023, 2069, 8044, 6853, 7924, 1005, 2408, 5852, 5335,
      2469, 6370, 3769, 2344, 1959, 2478,  993, 5991, 1957, 6785, 4772, 1427, 2057, 4583, 4506,  419,
       230, 6737, 2762, 5769,  920, 1947, 7268, 3962, 5346, 2437,  704,   19, 4763, 3774,  775, 4925,
        59, 2319, 1789, 5966, 2947, 5615, 3274,  925,  593, 3016, 7875, 5292, 4810, 4099, 1353, 1796,
      4869, 8092, 2828, 7902,  391, 6197, 5606, 3556, 6016, 7126,  844, 2549,   96, 1477, 1051, 2920,
      6076, 2141, 8107, 3850, 6474, 4619, 5395, 4401, 2555, 6639, 1443, 5289, 4287, 6592, 3660, 1625,
      7584, 7824, 4892, 2476, 3930, 3220, 5113, 5602, 7722, 1697, 2597, 5237, 4122, 5712,  402, 1100,
      5334, 1786, 1201, 6315, 3238, 2794, 6352, 3194, 3605, 7641, 7266, 6755,  992, 4107, 6706, 3649,
      5842, 3875, 4026, 6105, 5449, 2071, 4718, 5130,  540, 3446, 3931, 4019, 7325, 3495, 7604, 7586,
      7304, 4594, 2279, 3749, 5553, 1594, 3043, 6702, 1027, 4456, 5912, 5754, 2836, 1348, 7072, 3250,
      5623, 3079, 3068, 1827, 1802, 1576, 4069, 4234, 6788, 5366, 1593, 4103, 4007, 3135, 2167, 4055,
      5713, 6406, 3526, 1505, 5847, 6559,  953, 5401, 8121, 6056, 4321, 1024, 6767, 2397, 5972, 6435,
      5065, 4681, 7758, 7685,  221, 5308,  831,  149, 1887, 4757, 7983, 2955, 4701, 5314, 1805, 5091,
      2098,  353, 3752, 3334, 3540, 7502,  701, 6343, 5224, 6518, 8069, 3514, 2305, 2907, 2359
   },
   {
        54, 2856, 4212, 6973, 7781, 7124, 6744, 3049, 6787, 5215, 2049,  347, 6305, 7841, 6655, 5619,
      1671, 1934, 7563, 4703, 1011,   86, 3280, 4746, 2418, 4242, 6319, 5168, 2634, 6962, 5032, 4554,
      5310, 3094, 2537, 5824, 2393, 1677, 5671, 2754,    9, 3922, 8104,  546, 5349, 2313, 6761, 7080,
      7815, 2478,  600, 2440, 6675, 1008,  743, 7332, 1409, 3190, 2239, 3210, 4308, 7436, 3138, 4318,
      3997, 2697, 8109, 6100, 3426, 3050, 1675, 4769, 5857, 2227,  313, 6670, 1465, 3129, 1918,  657,
      2125, 1828,  643,  350, 6267, 7633, 4040, 2558, 7335, 7726, 5105,  462, 1541, 6989, 5764, 3161,
      4497, 1623, 6762, 4841, 3812, 4411, 6850, 1083, 1890, 4135, 1973, 1691, 5564, 7247, 5851, 4442,
      4206, 2055, 7991, 4911, 7274, 4677, 4223,   88, 7334,   93, 1339, 4890,  317, 6743, 4688, 1006,
      2002,  630, 3985, 6337, 3394, 5173, 3865, 6942, 8061,  918, 1936, 1314, 7428, 6995, 7601, 4436,
      6327, 3191, 5841, 2416, 3606, 3811, 6467, 7497, 4643, 6217,  497, 2786, 1507, 2094,  244, 1068,
      5065, 7440,  560, 5043, 5318,  574,  100, 4488, 4321, 3650, 1131, 6585, 7204,  822, 5546, 4231,
       223,  669, 3144, 1990, 5996, 6756, 7907, 6025, 5896, 4289, 2509,  404, 1425, 1054,  121,  414,
       407, 2456, 6686,  601, 4820,   43, 7283, 2775, 6446, 4204, 1988, 7911, 1169, 2849, 1842,  993,
      1111, 5770,  106,  452, 8064, 6711, 6415,  374, 3121, 2056, 5909,  801, 4225, 4369, 2871, 1254,
      4649, 2893, 7144, 6886, 3621, 4895, 2863, 1310, 2755, 1344, 4355, 6105, 3951, 6975,  552, 7043,
      4647, 1201, 4103, 4579, 3355, 5753, 7550, 7769, 2684, 1032, 5774, 1658, 1424, 2096, 3593
   },
   {
       554, 4834, 3461, 6043, 2964, 1389, 3983, 6748, 4844, 4136, 4828, 5184, 4044,   80, 1414, 6678,
      6885, 4077, 7069, 2903, 7120, 7256, 7813, 4915, 3897,  406,   73, 1491, 6183, 2747, 6267, 5734,
      6185, 6353, 3390, 4433, 1021, 1093, 4138, 5156, 7822, 6875, 7221, 5293, 4724,  178, 5821, 2100,
      1415, 7572, 1063, 1058, 4332, 5002, 8139,  332, 8115, 3109, 5403, 1816, 5269, 2669,  872,  412,
      7609, 3121, 6310, 5992, 2929, 1541, 6316, 1646, 4122, 3947, 1694, 4006, 6200, 7438, 2235, 8034,
      7233, 6298, 6988, 4895, 4676, 3873, 6137, 4675, 2044, 3822, 4785, 2145, 7034, 1891, 6007, 4564,
      3513, 7838, 1793, 7245, 7495, 5461, 2683, 3924, 6839, 3809, 2928, 3466, 5383, 4717, 6475, 6222,
      5039, 7268, 7934, 7450, 7954, 1894, 7987, 6688,  212, 6845, 3819, 7884,   96, 1931, 2032, 7666,
      5062, 7543, 6241, 5127, 7974, 1861, 6681, 6216, 6855, 7043, 7842, 4147, 1815, 2004, 7567, 1642,
      7226, 4159, 7516, 3488, 2837, 7593, 1281,  294, 5185, 6257, 3907, 6629, 7355, 7161, 1317,  475,
      2419, 5104, 1296, 7278, 7358, 4728, 6663, 2294, 2912, 3598, 5977, 7292, 5976, 2819, 6486, 3952,
      2206,   18, 2454, 3959, 8088, 2445, 4811, 6457, 5853, 3640, 3775, 6504,  537, 5999, 2899,  282,
      4946, 5292, 3441, 5065,  267, 7687, 5144, 7133, 5401, 2066,  580, 6005, 7061, 4395,   76, 7241,
      4304, 2300, 4874, 3336, 6472, 6244, 7916, 6373, 7701, 7032,  931, 1479, 2353, 7902, 6208, 6260,
       875, 6806,  994,   94, 7100, 4477, 7661, 7168, 2057, 8057, 2844, 5089, 4638, 2183, 8040, 5188,
      4599, 3101, 5903, 7196, 1989, 1487,  671, 6952,  793, 4418, 1741,  949, 6077, 3767, 2404
   },
   {
      1957,  231,  976, 2423, 5250, 2054, 7890, 7108, 7047, 4284, 2397, 6210, 4146, 2777, 5930,  914,
      2797, 1395, 8137, 4131, 3266, 5346, 7693, 6391, 7803, 7936, 6706, 3956, 2323, 1297, 5327,  673,
      3680, 7609, 6252, 5549, 6359, 1907,  964, 7313, 1683, 2330, 4653, 4716, 5948,   36, 6358, 6145,
      1584, 1492, 6820,  615, 5197, 7415, 4440, 6778, 1046, 1990, 1538, 7185, 3404, 3122, 8038, 2525,
      2821, 7092, 6414, 1465,   28, 7532, 5834, 5681, 4317, 7467,  891, 3918, 1010, 2181, 3667, 7209,
      5808, 1429, 3803, 5318,  668, 4377, 1589, 5054,  291, 5336, 2306, 3824, 6756,  804, 8063, 1004,
       659, 7761, 2236, 7063, 4790, 1094, 2436, 4982,  221, 4763, 3032, 7188,  388, 3957, 7001, 7738,
      5266, 2051, 1235, 6817,  531,  315, 6201, 7243, 7862,  776, 6125, 5620,  907, 1851, 2511, 6400,
      3832, 2371, 6673, 2558, 2148, 7416, 2479, 3236, 2085, 1398, 1361, 8090, 7476, 7007, 3335, 4743,
      8076, 2383, 6095, 3533, 3300, 7634, 2926,  803, 6410, 4050, 5700, 7119, 7127, 3129, 4307, 2795,
      3864, 1160, 4070,  701, 4033, 2838, 3655, 2394, 4108,  461, 8095, 6532, 3217, 6892, 1690, 5058,
      2326, 1334, 1582, 1831, 5291, 4202, 2738, 6914, 4318, 7561, 3934, 5979, 3334, 5199, 3012, 5473,
      4448, 5324, 2561,  127, 2478,   29, 2971, 6082, 3808, 6584, 1360, 5267, 8127, 4841, 4271, 2248,
      6985, 6503, 3137,  806, 1649, 5234, 7923, 8132, 2249, 1988, 7626, 1527, 3023,  367,  313, 2192,
      2698, 8105,  677, 3283, 1410, 2904,  442, 7504, 4843, 2088, 7601, 2351, 7982, 2135, 2550, 3019,
      3565, 5901, 5253, 5896, 7269, 1933, 4873,  511, 1304, 5640, 3351, 7659, 5293,    2, 1596
   },
   {
      6109, 7884,  434,  987, 7818, 3925,  126,   61, 3203, 2175, 3831, 5959, 3407, 6896, 1039, 7306,
      5850,  740,  586, 2144, 7517, 7993,  370, 1703, 1462, 5906, 2011, 5999, 5264, 7786, 1789, 5134,
      4729, 1356, 6311, 7851, 6282, 4490, 4232, 5707, 1154, 3867, 1923, 6507, 7765, 3331,  320, 4549,
      2885, 2805, 5164,  943, 6054,  627, 1866, 2179, 2497, 7980, 5133, 1196, 6044, 7624, 6397, 2626,
      3813, 7455, 1600,  717, 5040, 3525,  304, 3820, 8065,  993, 5401, 3146, 3214, 2203, 7011, 5337,
      4923,  132, 5998, 1741, 7772, 5602, 6514, 6227,  536, 5038,  701, 3063, 1216,  918, 7646, 2000,
      7349, 4309, 2507, 5790, 4826, 2532, 1435, 1423, 5735,  878, 4488, 4278, 4605, 1117, 7880, 6951,
      8113, 1054, 1430,  232, 4887, 6351, 5843, 4935, 5829,  485, 6204, 3103,  351,  792,  280, 1066,
      3243, 7151, 4731, 4045, 2774, 1706, 4738, 3860, 1813, 7713,  245, 1160, 6907,  372,  177, 4656,
      4169,  418, 3136, 3462, 1803, 1150, 5460, 2091, 3828, 1004, 1010, 2646, 1709, 4735, 4624, 2319,
      7628, 1539, 4933, 7554, 2836, 7994, 6192, 7257, 5896,  679, 3783, 4321, 3486, 6258, 2925,  654,
      4851, 6491,   77,  212, 3339, 2444, 7400, 1990, 3923, 5419, 1985, 6347, 1460,   29, 6751, 7502,
      4194, 4188,  548, 1549, 7558, 5091, 5917,   95, 6888, 6670, 2411, 2884, 4574, 3127, 3008, 4427,
      6837, 4749, 1965, 2636, 3229, 7462, 6891, 4274, 1682, 6948, 3939, 2781, 4345, 3607,  563, 1198,
      1213, 1718, 3109, 5141, 8094, 1776, 5778, 4417, 1705, 3153, 8103,  865, 7819, 2703, 5214, 7245,
      1464,  593, 6230, 6247, 7094, 1019, 6196, 6033, 3734, 2407, 1638, 2560, 2566, 5898, 6720
   },
   {
      4019, 5995, 4278, 3305, 4607, 6795, 6940, 2474, 5199,  883, 6137, 2590, 6053, 1323, 7386, 5617,
      5753, 3349, 5557, 8044, 3139, 7355, 3729,  243, 5499, 1426, 7186, 3179, 7104, 5378,  599, 3335,
      8014, 5062, 5992, 5648, 1101, 1330, 2542, 2299, 5374,    0,  914,  124,  698,  294, 4588, 3249,
      2687, 2428, 5632, 2742, 5749,  845, 3001, 1830,  298, 7332, 3794, 3917, 7657, 1550, 7749,  806,
      4930, 7431, 2057, 5016, 5482, 1785, 4493, 6820, 1378, 7751, 7413, 1524, 5420, 3845, 1455, 1145,
       687, 5511, 2319, 1263, 4538, 5258,  193, 3526, 4410, 7068, 2686, 7477, 2133,  606, 2070, 3930,
      1147, 5758, 4654, 4067, 4540, 6478, 1908, 1660,  462, 1029, 5292, 1977,  339, 8098, 6012, 8047,
      3764, 7799,  360, 3095, 5647, 1565, 4339, 1044, 6004, 3792, 5344, 3038, 4701, 4614, 2895, 7959,
      6677, 5049, 6601, 7856, 5151,  999,  278, 4146,  475, 4780,  752, 7796, 2274, 5664, 1825, 3754,
      2222, 3318, 4266, 6063, 5724, 3383, 7254, 5974, 5959, 1516,  637, 1617, 1640, 1372, 3590, 4914,
      6821,  367, 3250, 7909, 3217, 8125, 3501, 7308, 5740, 4351, 7660, 6239, 5683, 2888, 4162, 2876,
      2258, 5755, 7842, 1678, 7113, 2097, 6805, 2252, 7990, 2643,  925, 1309, 4848, 5077, 2156, 4627,
      5406,  843, 5400,  260, 8170, 6194,  651, 6013, 5248, 8188, 2141, 3075, 4983, 4672, 1765, 7945,
      4819, 5877, 4908, 4751, 8075,  444, 6125,  639, 3152, 3408, 7292, 2362, 1383, 5173,  268, 1851,
      6168, 2400, 1222, 4609, 4430, 4880, 1143, 5424, 6290, 3394, 2716, 7346, 1864, 8156,  499, 3886,
       678,  919, 3244, 1854, 5220, 2330, 1158, 2854, 4828, 2705, 2046,  967, 3534, 6438,  724
   },
   {
      2823, 6728, 5926, 5898, 6771, 8152, 4483, 6280, 1526, 4978,  987, 4262, 6606, 3412, 1619, 2107,
       332, 3927, 1857, 8117,  956, 6803, 6703, 6326, 1935,  466,  166, 3569, 5745, 5590, 7099, 1331,
      6406, 6593, 6456, 3678, 4993, 4000, 3670, 7755, 5842, 6640, 2876, 1774, 6334, 6354,  131, 4069,
      2477, 1502, 5514, 1938, 8075, 2322, 1193, 2748, 5381,  443, 1794, 1587, 1763, 4667, 7379, 3395,
      8090,  496, 3812, 7438, 7232, 2062, 3824, 5663, 6680, 1044, 4398, 5288, 7822,  326, 6157, 3676,
      2502, 5685,  540, 7361, 2666, 8128, 7286, 5266, 3896, 4560, 1161,  841, 7880,  436, 1511, 7500,
      3168, 5272, 1736,  207, 6199, 5999,  770,  395, 2614, 3492, 4290, 6708, 2249, 5706, 2718, 5829,
      7881,  923, 2388, 7903,  262, 6566,  328, 4282, 7155, 5805,  111, 3416, 5835, 5338, 4881,  631,
      5775, 4144, 6612, 4197, 6463, 2172, 3837, 7296, 8020, 6052, 6225, 1905, 3512, 5851, 3820, 4368,
      4927, 7248, 5022, 7403, 1803,  532, 1431, 3536, 6639,   45, 3030, 5174, 1309, 1203, 7218, 5786,
      8189, 3234, 4540, 7498, 5929, 2638, 4067, 3237, 2161,  675, 6142, 4673, 2668, 5505, 4923, 3391,
      3085, 3198, 4062, 7101,  324, 5760, 3728, 5607, 5428, 4020, 1407, 6016, 7347, 5671, 6147, 8046,
      5643,  807, 4027, 8134, 2495, 1454, 1739, 5784, 7526, 6839, 5274, 6172, 1420, 7033, 3929, 2554,
      2393, 5334, 1292, 3494,  752, 4768, 3312, 6251, 5094, 2858, 1915, 3758, 4828, 4595, 5053, 2162,
      1737, 4082, 1024, 3520, 4154, 3155, 6188, 4293, 6725, 1963, 7637, 7335, 4914, 4502, 1611, 3458,
      1847,  340, 5307, 2619, 6734, 6070, 6510, 6397, 3699, 5232, 1329, 6102, 6324, 7668, 3017
   },
   {
       530, 3070, 1745, 5259, 5786, 3975, 1625, 7873, 5934, 2791, 8154, 1445, 6274, 5235,  948, 1173,
      1503, 5291, 6885, 3869, 3542, 6778, 5888, 4197, 4973, 4010, 1682, 6186, 4026, 3228, 4528, 5514,
      3986, 1003, 6093, 4509, 4934, 6982, 4085, 5086, 1675, 5282, 2267,  119, 5724, 5022, 4949, 3786,
       494, 4150, 2598,  214, 6465, 3690, 6374,  319, 6287, 7489, 5639, 6919, 6560, 3537, 5041,  364,
      7916, 6257, 1652, 1351, 6283, 2805, 7333, 2625, 1252, 2952, 1166, 5717, 3909, 2062, 7430, 5744,
      3338, 1709, 4767, 3633, 1072, 5821,  355, 6396, 2581, 8083,  829, 7902, 4286, 2989, 6502, 7751,
      2475, 1313, 5816, 2515,  147, 3603, 5269, 4034,  235, 6092, 3519,  121, 2868, 2682, 1095, 1984,
      4607,  917, 2241,  983, 4935, 5513,  174, 5685,  244, 7134, 6527, 2905, 3725, 5169, 7973,  937,
      7792, 2172, 7545, 6789, 8086, 6178, 1063,  396, 6813, 7882, 1952, 4441, 1575, 1029, 2431,   10,
      5342, 3192, 1968, 6215, 3298, 1039, 4063, 5458, 4023, 7657, 6766,  508, 5349, 5413, 4056, 3617,
      7929, 4138, 1676, 3104, 5283, 3756, 5226, 1415, 4961, 4840, 1799, 2373, 7368, 4100,  605, 5443,
      2455, 5379, 2091, 7835, 6411, 8010, 7361, 2126, 1713, 1392, 1634, 7763,   82, 2164,  889,  296,
      6294, 7388, 7342, 6036, 3940, 5475,   67, 5152, 4646,  135,  466, 6645, 6038, 5904, 6271, 6730,
      4114, 6606, 2550, 6854, 1594, 3911,  454, 4083, 3717, 7292, 3679, 1768, 4154, 6021, 6520, 5647,
      3801, 5185,   38, 1435, 3473, 2540,  289, 7837, 6923, 6878, 5146,  606, 5848, 1290, 6442, 7034,
      7908, 6130, 1607, 4520, 7900, 7617,  755, 3317, 1426, 6571, 6838, 4481, 1317, 4989, 1590
   },
   {
      2153,  642, 7200, 6361, 5239, 5019, 1949, 1231,  296, 2806, 4079, 2427, 4090, 7679, 5071, 5932,
      4910, 3758, 7314, 4071, 5666, 2450, 2234, 6627, 4495, 7166, 5381, 4757, 4358,  433, 6788, 6551,
      1903, 3603, 4643, 2895,  309, 5623, 4632, 4964, 5949,  143,  484, 7313,  551, 3846, 3560, 4547,
       186, 1778, 4884,  908, 1578,  386, 1577, 5236, 1200, 7677, 2984, 3828, 7536, 5371, 4198, 3172,
       465,  593, 5779, 1567, 7433, 6703, 6278, 1971, 1825, 3108, 4387, 2803, 2972, 1551, 4954, 3672,
      1179, 1670, 5303, 3322, 4656, 6241, 3490, 4685, 8026, 6864, 5325,  365, 3328, 1976, 3839, 2547,
      4038, 4255, 5110,  721,  746, 6509,  790, 4673, 1590, 7053, 7858,   46, 7089,  978, 6997, 6088,
      6365,  106, 6425,  786, 2225, 2874, 3102, 7746, 2747, 7547, 1450, 7344, 7795, 7604, 5871, 5702,
      2827, 4696,  332, 1533, 3882, 7880, 7456, 3179, 3863, 1206, 1355, 4427, 7816, 3036, 7910, 4657,
      3719, 8070, 3471, 3764, 5907,  638, 2974, 2494, 1687, 5753, 5512, 7996, 5569, 5443, 5174, 2893,
      8000, 6147, 2405, 2836,  901, 7392, 5181, 6924, 4064, 7220, 2491, 7660, 6466, 3500, 1532,  429,
       986, 4305, 1411, 1705, 3836, 5012, 2276, 6131, 5089,  648, 4952, 5038, 3612, 5406, 6630,   12,
       492, 3248, 1922,  200, 1997,  634, 6195, 5720, 7917, 3419, 6791,  627, 2187, 1931, 7260, 7813,
      3230, 6831, 5712, 2676, 4118, 4739, 6994, 6454, 2822, 2620, 4660,  680, 2345, 7921, 4863, 7238,
      3373, 1894, 2671, 6388, 5688, 4570, 1075, 3905, 3755, 3249, 7347, 8135, 1161, 7770, 7467, 7451,
      4686, 7477, 3254, 6843, 7916, 7601, 1177, 7366, 7108, 6067, 2378, 5921, 5873, 4432, 5505
   },
   {
      6844,  946, 4962,  504, 3037, 1492, 3196, 3746, 6465,  984, 6519, 1403, 3198, 4655, 7317, 3671,
      5425, 3562, 3310, 1425, 6007, 1567, 5382, 3847, 3171, 5348,    3,  160, 5097, 3922, 5811, 4790,
      5129,  189, 7322, 2122, 2996, 4079, 6144, 4075,  503, 5397, 4493,  804, 3510, 7005, 4989, 7113,
      5483, 5697, 6495, 4872,  653, 5908,  966,  540, 5140, 4430,  163, 4287, 3930, 1777, 7980, 7129,
      1085, 6724, 6352, 7669, 2251, 3298, 4832, 6418,  224, 3876, 2440,  862, 4345, 7109, 1020, 2768,
      6982, 8169, 3864, 5137, 2949, 1320, 2535, 4813, 4453, 6300, 6780, 6001, 6508,  532, 3427,  557,
      2503, 7666, 5937, 7399, 2391, 3158, 3138, 3726, 2843, 6308,  705, 1978,   95, 7962, 1640, 6305,
      3356, 1987, 4215, 8076, 6263, 7746, 6653, 2562, 1222, 4332, 3393,   51,  549, 8127, 4336, 8150,
      4072, 1894, 6781, 4494,  458, 2982, 7794,   15, 2793, 5473, 7139, 2048, 2228, 3708, 8039, 1561,
      5135, 1349, 3019, 1796, 1581, 4267,  183, 4722, 4250, 7923, 4998, 2958, 6633, 7419, 5235,  729,
      3710, 8081, 3436, 6313, 7004, 4793, 4213, 4227, 1883, 4084, 2422, 4565, 2957, 2872, 3742, 4017,
      2458,  282, 6211, 3523, 7308, 2052, 6399, 2173,  516, 3035, 4896, 7851, 7705, 2059,  746, 4685,
       327, 1765, 1060,   33, 2496, 2915, 6767, 6229,  941, 5171,  500, 3871, 4858, 3029, 2260, 6626,
      3494, 1441, 1358, 2248, 1080, 1158,  420, 6520, 4424, 6351,  798, 1373, 6738, 7203,  109, 7252,
       524, 2804, 4228, 1205, 7959, 2617, 1119, 3434, 2149, 3028, 4772, 1917, 6115, 5669, 7194, 1406,
       689, 5919, 7870, 3925, 7088, 2702, 5152, 7473, 5038, 6652, 7968, 7834, 5049, 3660, 7383
   },
   {
      1325, 3800,  633, 3454, 4601, 2178, 4156, 1660, 3935, 6250, 5490, 4911, 8072, 5279, 2959,  249,
      6783, 2749, 1984,   45,  218, 5271, 3837, 3293, 6095, 6113, 6122, 4992, 4988, 2673, 1951, 1451,
      6083, 2773, 4839, 4389, 2557, 4759, 3518,  159, 6379, 4677, 5830,  868, 3608, 4169, 8167, 1442,
      7426, 5958, 4375, 6585, 3858, 4220, 7626, 6388, 1958, 1180, 7715, 2640, 4211, 1363, 5427, 1653,
      4183, 2440, 7734, 6713, 2190, 6368,  301,  680, 5233, 5283, 5336, 5278, 6461, 8070, 7209, 2713,
      6128, 3564, 1691, 4577,  451, 1705, 7942, 5633, 3259, 4672, 3697,  523, 1215, 4834,   42, 4602,
      5266, 3562, 4336, 7698, 2483, 4311, 3550, 2422, 4457,    5, 1079, 4224,   72,  881, 7455, 2687,
      3553, 7486, 5716, 4246, 4369,  557, 1295, 4018, 5860, 7184, 3311,  583, 6722, 7185, 3954, 6766,
      1360, 2143, 3707, 8151, 1574, 3081, 5074, 3221, 2919, 7728, 6197, 4286, 3214, 6292, 4722, 5236,
      4957, 6767, 7431, 5072, 7550, 8175, 4408, 5044, 4695, 7170, 1831, 6142, 5769,  911, 1874,  435,
      7573, 4444, 1208,  256, 4715, 1762,  516, 6645, 2565, 6421, 2477, 5078, 5225,  483, 5076, 4762,
      3646, 3433,  795, 5745, 3975, 3503, 1502, 3294, 4025, 5459, 6877, 3391, 3547, 1124, 1009, 7271,
      4734, 1498, 3537, 2659, 2922, 4244, 2469, 7928, 4742,  620, 8038, 5611, 5765, 3031, 1855, 2499,
      4524, 3022, 3990, 5739,  307, 1204, 5219, 4130, 5185, 4364, 4804, 7979, 1616, 1247, 2006,  799,
      4540, 6054,  395,  318, 1685, 4749, 2674, 5562, 5112, 4087, 4896, 7822, 6517,  529, 4111, 2870,
      3770,  877, 7867, 1239, 5500, 4188, 2399, 6867, 5216, 3199, 7794, 2676, 6835, 4731, 4397
   },
   {
      3565, 6357, 7157, 6716, 4315, 2693, 4964, 3352, 5256, 2584, 1046, 3357, 6841, 5662, 7562, 2350,
      3069, 6200, 2032,  805, 2127, 5434, 7032,  398, 6431, 8023, 7676, 1409,  524, 5225, 4913, 2300,
      6806, 3704, 1863,  856, 7384, 4687, 2609, 1271, 4831, 7468, 1366,   82,  729, 3105,  523, 3553,
      1552, 4981,  344, 2035, 2657, 6889,  223, 7231, 3965, 4942, 2339, 2759,  290, 2258, 2122, 6445,
      6647, 1099, 6784,  964, 1031, 7082, 2780, 5654, 7255, 7591, 2976, 2254, 5541, 5704, 7870, 1000,
      3735, 1826, 3203, 5418, 1295, 6299, 2904, 1368, 4133, 5754, 4688, 5556, 5073, 2298, 1269, 3074,
       207, 1994, 6040, 7624, 7525, 2835, 5945, 5642, 1331, 4225,  633, 1979, 2249, 6788,  405,  395,
      6848, 3890, 2649, 5727, 7425,  594, 6967, 3211, 4971,  816, 5199,   21, 2787, 4205, 5808, 6369,
       576, 3370, 4760, 2242, 7944,  554, 1947, 8022, 8187, 5599, 5886, 3660, 2185,  717,  728, 7238,
      3141,  135, 1765, 5215, 6079,  276,  870,  829, 6174, 4730,  811, 5538, 4392, 4598, 5955, 7651,
      1515, 3975, 2620, 6736, 7617, 4747, 7683,  463, 4846, 7574, 4537, 1042, 3084, 7428, 3137, 3807,
      6603, 3602, 1143, 4444, 4424, 5761, 2173, 5118, 3806, 5416,   64, 7950, 1562, 2977, 4295,  794,
      1454, 6165, 5070, 3098, 2490, 1553,  525, 4720,   60, 8054, 3527, 1078, 7687, 2411, 3233, 4367,
      6991, 1250,   71,  750, 8126, 2214, 4811, 5603,  192, 3309,  215, 6335, 1104, 7956, 7692, 1461,
      6390,  162, 5981, 5275, 3029, 5043, 1452, 4685, 2517, 1245, 1681, 3854, 1824, 5243,  394, 3412,
      6006, 3087, 3794, 1710, 3900, 7400, 2750,  818, 6523, 4377, 7394, 3402, 4373, 4107,  995
   },
   {
      1264, 4623, 7178, 6123, 7716, 3353, 2358,  801, 2067, 6087, 3754, 1655, 5100, 1309, 6085, 3191,
      4475,  282, 3857, 4667,  267, 4017, 4143, 1538, 7544, 6033, 1434, 3172, 7108, 4132, 3312, 1370,
      6865, 1858, 6023, 2146,   71, 1385, 4743, 3806, 5079, 3449,  402, 3047,  461, 7442, 3766, 7220,
      7033, 4621,  322, 7117, 5593, 5549, 2454, 2154,  960, 4845, 5759, 4483, 6207, 6246, 5356, 6762,
       108, 4826, 1008, 7836, 3639, 6219, 5542,  133, 7228, 7351,  774, 1172, 6048, 4713, 5249, 3008,
      2998, 5063, 7302, 5732, 3776, 1611, 5173, 4954, 3463, 8047, 4560, 4275,  526, 4036, 2635, 2530,
      2316, 8097, 7131, 5918, 7721, 5692, 5306, 5138,  455,  268, 4399, 7157, 4295, 1310, 3257,    9,
      1788,  639, 2140,  447, 5313, 7448, 3647, 1542, 4644, 4242, 7334, 5179, 7197, 3570, 3100, 7234,
       691, 7004, 7654, 6864, 4048, 4693,  317, 7999, 1637, 6432,  751,  544, 5556, 1772, 6322,  971,
      4374, 6962, 1590, 2700, 5547, 6959, 4860, 7044, 3370, 1649, 3354, 1177, 1360, 6928,  979, 5540,
      4380, 4389, 2511,  439, 5715, 3332, 1916,  550, 1276, 4519, 1811,  625, 6140,  387, 4521, 7369,
       303, 5114, 2743, 4844, 3016, 6044, 1493,  248, 2790, 2636, 3211,  527, 4066, 5115, 5180, 1039,
      3820, 4466, 2414, 4984, 2441, 5325, 3291, 8181, 5944, 4225, 1266, 2210, 3656,  968, 4233, 3439,
      8139, 5905, 2155,  676, 4051, 4314, 5573, 7834, 3208, 7755, 6128, 4569, 2711, 5340, 2177, 2729,
      5045, 5182, 6909, 5319,  191, 5908, 6152, 4511, 2334,  647, 6331, 6436, 6976,  916, 6068,  513,
      5449, 5121, 1263, 3561, 1685, 1054, 4090, 1202, 5933, 4139, 1103, 7750, 3151, 6781, 5968
   },
   {
      3224, 5590, 5297, 3384, 1147, 4640, 4958, 6625, 4097, 5046, 7739, 3593, 2768, 5340, 6965, 4785,
       606, 7516, 8014, 1316,  458, 4948, 2971, 1190, 1580, 5912, 4612, 2722,  937, 5083, 5072,  187,
      6547, 5923, 7255, 4532, 7105, 4788, 4109, 7670, 5753, 5679, 7271, 6919, 1809, 6493, 2943, 1584,
      1213, 7344, 3720,  854, 8189, 5690, 5234, 6682, 4937, 5709,  311, 7852, 5798, 5992, 7048, 2503,
       783, 7748, 3669, 4913,  593, 7373, 5054, 2684, 7789,  805, 8032, 1524, 2290, 5570, 1649, 6074,
      1854, 4283, 1684,  170, 3164, 1037, 7116,  685, 5450, 6035, 4231, 4330, 3441, 7992, 4046, 8013,
       791, 6205, 5427, 6226, 5455,  584, 4918, 7364, 3437, 4799,  833, 7500, 5750, 7351, 7609, 4086,
      5775,  486, 6438, 1440, 4163, 7503, 3938, 5925, 5017, 7842, 6021, 3495, 3806,  291, 5979, 6382,
      4050,  339, 4394, 1353, 2443, 4043, 5919, 6146, 3473, 7537,  636, 6971, 7916, 2299, 2635, 6715,
      6739, 2663,  687, 4715, 6454, 4598, 7384, 5288, 5183,  277, 2189, 3730, 7269, 1653, 6167,   62,
      4185, 1359, 5070, 4931, 1966, 5974, 3220,  987, 2833,   12, 2278, 7272,  613, 8171, 2442, 6321,
       456,  651, 2022, 3411, 2076, 6243,  786, 8089, 8139, 7404, 4947, 2800, 6926, 7680, 7802, 6423,
      1553, 6019, 6917, 5189, 3035, 2899, 4790, 6630, 4504, 1238, 2604, 7504,  527,  573, 6794, 3454,
      5509, 4136, 2767, 8162, 2485, 1366, 5113, 7296, 3390, 7890, 4705, 3882, 1053,  466, 2475, 6042,
      1709, 4261, 3943, 2422, 3521, 1661, 7125, 1041,  627, 1479, 6726,  557, 4022, 6725, 5854, 6056,
      5788, 1643, 3864, 6852, 7513, 6537, 3373, 6672, 1671, 3265, 1325, 4501, 7715, 3452, 4866
   },
   {
      3222, 4136, 4608, 2699, 7349,  525, 7235, 7661, 5806, 2612, 6042, 3422, 3511, 1919, 4096, 2715,
      4684, 2120,  283,  715, 5862, 2255, 6305, 5842, 3868, 3690, 3029,  166, 6295, 7875,   77, 5830,
      1821,  664, 6921,  753, 6074, 1314, 6289, 5144, 2001, 3272, 3144, 1279,  592, 2150,  646, 4748,
       329, 1885, 3334, 7244, 4303, 3906,  466,  274, 7335, 6827,  244, 1582, 4039, 2834, 4766, 2848,
      5580,  145, 1189, 7270, 2077,  295, 6958, 2364, 3714, 7105,  927,  884, 2488, 1558, 4594, 5921,
      1341, 8166, 6231, 6505, 3232, 6368, 6483, 6804, 4124, 6386, 3080,  151, 6929, 1844, 4037, 5692,
      6690, 5688, 4426,  582, 5120, 2768, 2349, 3014, 2268, 1328,    7, 1976, 1650, 5495, 1768, 2149,
      2515, 2159, 5659, 6464,  553,  361, 3907,  678, 7358, 4911, 7823, 2086, 5042, 3476, 1345, 4184,
      6119, 4519, 5795, 5442, 4867, 7610, 7531, 6355, 5275, 4518, 5957, 7633, 1968, 2332, 1612,  526,
      7715, 3387, 2376, 5636, 4977, 1300, 3395, 1726, 1860, 4762,  681, 4734, 6814, 1355,  213, 1217,
       384, 2573, 7449, 2859, 6718, 4866, 3498, 7461, 3169, 3985, 6457, 4520, 7572, 2076, 7587, 4716,
      4668, 2253, 5500, 4920, 3340, 5292, 2571, 4736, 1754,  846, 4752,  402,  512, 2786,   33, 3406,
      4416,  808, 2993, 8060, 6825, 3914, 6601, 2271, 1458, 7782, 1520, 2891, 3236, 3046, 2653, 5472,
      7401, 3813, 1248, 2633, 5034, 6313, 5985, 2631, 3225, 5417, 5774, 4575, 2913, 2032,  696, 1896,
      8014, 5443, 2072, 3203, 3116, 3435, 5600, 7389, 7736, 7882, 2114, 7809, 7067,  357,  836, 3058,
      4317, 6740, 1970, 5526, 8140, 4621, 1880, 1177, 3999, 6059, 1785, 2553, 2276, 7226, 5954
   },
   {
      1191, 7783, 8123, 5171, 2109, 2122, 8050, 5667, 5334, 6267, 1141,  146, 2818, 4568, 3953, 3355,
      1791, 2014, 1803,  390, 2547, 6691, 3028, 4929, 5586, 8046, 2889, 4858, 2072,  950, 3541, 8116,
      7915, 7318, 6403, 1967, 3444, 6509, 2222, 3607, 2495, 1354, 6439, 5380, 6247, 2558,  645, 5346,
      2548, 5598, 7737,  391, 6666, 3502, 5478, 1777, 1318,  275, 5339, 4322, 3289, 6983, 1134, 1736,
      2836, 1711,  526, 5863, 1676, 1527,  826, 5759, 5930, 4542, 1526, 1548, 2454, 5228, 5948, 5548,
       449, 3974, 1810, 6390, 2790, 5254, 5255, 7343, 4414, 6578, 1492, 7557, 4125, 4920, 7890, 3525,
      6960, 7657, 1486, 3749, 2707, 2323,  474, 5302,   35, 5311, 7328, 6441, 7929, 6603, 5771, 1758,
      5696, 6684, 2146, 3866, 1595,  224, 6361, 4190, 6806, 7524, 4052, 4458, 3595, 7608, 3566, 2735,
      7300, 6065, 6940, 6860, 6688, 6409, 5963, 7589, 1731,    0, 3285, 7720, 5917, 6615, 1837, 7336,
      7506, 7985, 2705, 8130, 7994, 1056, 7804, 5641, 6982, 3590,  807, 5509, 2047, 4682, 6883, 5399,
      6898, 2046, 1767, 1366, 5652, 5132, 2680, 2338,  489, 6943, 4144, 4448, 6212, 2278, 4347, 4447,
      6346, 2066, 4318,  282, 6583, 7113, 2936, 7714, 7271, 1826, 4136,  981, 2490,  648, 4038, 1838,
       204, 3977, 3882,  590, 2076, 3120, 5996, 7636, 5871,  609,  689, 6069, 7855, 4166, 3940, 7957,
      5014, 1612, 1493, 6939, 1902, 6040, 7715, 5925, 1920, 5938, 5176, 6917, 7482,  319, 8134, 4404,
       586, 4640, 6908, 5770, 4832, 3696, 4650,  111,  154, 2920, 4584,    6, 4024, 6271, 2012, 2158,
        22, 7111, 3817, 2260, 1964, 2297, 1927,  481, 4314, 6258, 6591, 3503, 3631, 2856, 1821
   },
   {
      1037, 2896, 3988,  544, 7713, 5154, 1799, 6409, 5893, 4373, 7965, 4439, 8037, 7784, 3886, 4718,
      4773,  445, 3155, 3720, 6574, 7807, 3112, 6991, 7770, 6022, 1922, 4765, 3865, 4549, 7601, 5137,
      6246, 1644, 7191, 2734, 2289, 7648, 4968, 5373, 4920,  462, 5198, 5419, 1613, 2682,  759, 5209,
      1525, 3474, 3885, 1246,  939,  743, 5976,  793, 2023, 5607, 5888,   83, 3968,  600, 6278, 2328,
       501, 4566, 1477, 7037, 3534, 1643,  846, 6393, 4963, 6231,  484,  728, 2980, 1053,   69, 2391,
      2733, 6059, 6841, 4090, 2628, 3456, 7509, 6095,   24, 6254, 5984, 7116, 3079, 6862,  101, 1524,
      3428, 2909, 4223, 5083, 6286,  553,  487, 4056,  882, 6176, 5414, 7219, 1374, 7433, 4263, 5127,
      1089, 4369, 6619, 1867, 5730, 4298, 2092, 1789, 6464, 6711, 7818,  672,   76, 2196, 6209, 8056,
      2193, 4546, 2181, 6581, 4168, 2460, 5778, 3516, 3232, 7313,  744, 8103, 6708, 6359, 5700, 4087,
      3224, 1425, 1937, 8109, 3035, 7889,    7, 2071, 6201, 4096, 2152, 7260, 3016,  876, 3457, 7207,
      5703, 4819, 4311, 5412, 4669,  869, 6208,  387, 5374, 1213, 1231, 5477, 6958, 7510, 1257, 2134,
      4238, 6080, 2788, 6778, 5262, 4280, 3189, 1752, 2520, 6904, 5727, 2169, 3860, 3404, 3980, 1175,
      1803, 1852, 5678, 3472, 1633, 2352, 4031, 7691, 2984, 1527, 7222, 2133,  113, 6404, 7897, 4710,
       473, 5616, 4067, 7154, 6848, 7107, 3778, 1972, 4975, 3928, 5676, 1906, 7950, 2637, 7417, 6026,
       505,  433, 5361, 6667, 7948, 4520, 1456, 5925, 6929, 6118, 4789, 4541, 4073, 7628, 6243, 7604,
      1461, 7560, 2937, 2859, 5196, 1952, 7217, 2275, 6323, 7160, 5480, 8128, 5490, 6544, 4629
   },
   {
      1093, 3640, 1596, 4278, 4226, 2842, 2344, 4909,  686, 7114, 8049, 1371, 7632, 2712, 3150,  544,
      2921, 6817, 6620,  303, 3362, 7074, 1199, 4761, 8027, 1867, 3933,  181, 1108, 4031, 3075,  674,
      5618, 6834,  361, 4201, 3248, 3761, 3818, 4299, 5927, 8033, 3534, 5244, 6379, 7912,  636, 7548,
      3795, 3165, 5525,  136, 3366, 6480, 2346,  704, 6571, 7298, 7191,  172, 1488, 1119, 2775, 7275,
      1643, 3237, 4420, 3084, 5276, 1894, 6769, 5559,  845, 6212,  549, 5007, 1849, 3059, 6131,  841,
      6905,  430, 4956,  617, 1758,  739, 4459,  401, 2146, 3932, 7299, 4250, 6441, 3768, 4085, 7290,
      6791, 1344, 7217, 5595, 2080,  685, 2703, 7968, 3213, 3139, 5155, 1357, 7452, 2727, 1884, 5886,
      7998, 7535, 7446, 5890, 6437,  956, 7958, 1561, 3760, 7148, 7175, 2985,  616, 3175, 1441, 3461,
      7603, 1541, 4080,  488, 3406, 1968, 2539, 3003, 2740, 5828, 4538, 4603, 2355, 3614, 4351, 2432,
       475, 2021, 3551, 7855, 5669, 7908, 5389, 1359, 6762, 3391, 7674, 1401, 6662, 1474, 1385, 2942,
      7065,   59, 7360, 4537, 7152, 2419, 4064, 2755, 7626, 1466, 5422, 5345, 6265, 7560, 2064, 7704,
      5054, 1731, 6822, 2839, 3135,  809, 5111, 6826, 2968, 4430, 5030, 6318, 2633, 3804, 6605, 6793,
      2834, 7584, 2071, 2907, 7607, 2685, 4257, 1669, 3186, 4825, 4696, 5818,  734, 8157, 3249, 5548,
      2645, 6765, 2972,    8,  251, 3605, 8159, 4460, 2514, 4199, 6745, 2852, 3799, 3114, 2306, 5462,
       517, 6295, 3893, 3279, 1314, 2388, 4100, 3615,  928, 5363, 5506, 1503,  389, 8125, 5735, 1149,
      5746, 1297, 6592, 5514,  873, 6137, 6513,  707, 1280, 1681, 5813, 4465, 6985, 2952, 5825
   },
   {
      3115, 5999, 3770, 8141, 5447,  534, 2310, 4856, 5325, 5512, 6922, 5737, 3642, 4259, 5873, 7812,
      1885,  807, 7301, 4744, 7869, 6113, 5770, 5623,  390, 3168, 5677, 1112, 5205, 5918, 4507, 4293,
      7648, 2419, 5195,  622, 7476, 5010, 7393, 6720, 5002, 3906, 3056, 1837, 1091,  949, 2309, 2819,
       462, 1870, 3479, 3644, 7417, 4197,  309, 2328, 7609, 6579,  639, 6142, 5247, 2224, 7199, 4889,
      7749, 7917,  397, 7203, 5616, 2353, 6575, 3365, 1599, 4315, 2119, 2040, 4882, 2603, 4184, 6577,
      4278, 7991, 5569, 7629, 6186, 5676, 2924,  100, 3421, 5985,   10, 1802,  985, 6930,  313, 3061,
      3566,  705, 2558, 4579, 4538, 4731, 7852, 3846, 7067, 7768,   94, 7724, 7745, 4943, 3749,  426,
      3317, 3972, 2616, 6301, 4228, 3578, 2972, 1511, 1925, 5566, 7186, 4635, 4950,  257, 7771, 1118,
      7612, 2491, 7314, 7891, 2447, 1027, 2878, 7132, 1201, 1681, 7732,  339, 7654, 2760, 7726, 5017,
      3887, 3964, 4480, 3245, 4216, 7320, 1677, 3040, 5697, 5570, 5133, 1705, 4445, 7568,   29, 4247,
      4949, 3916, 5978, 1506,  511, 4071, 1436, 7829, 3973, 4248, 4821, 3047, 4090, 6624, 3276, 3443,
      2122,  328, 4749, 4338, 6685, 4394, 4660, 5525, 2728, 1082, 6852, 6926, 5872,  306, 3427, 4087,
      3587, 4256, 6613, 1682, 2617, 5240, 5962, 1330, 2343, 2231, 2170,  646, 1480,  867, 4365, 1914,
      2707, 6440, 7435, 7845, 2314, 6014, 4328, 7100, 2958, 3515,  990,  150, 1950, 7753, 7021, 7246,
       772, 5631,  467, 4154, 6719, 3577, 3229, 8045, 7195,  334, 7964,  627, 2208,  321, 7789, 1459,
      2174, 3439,   12, 7153, 8139, 7989, 7813, 1479, 3045, 7866, 7070, 6370, 2454,  789, 7054
   },
   {
      7898, 5584, 3080, 2158, 4522,  568, 5504, 7135, 6854, 4146, 7406, 6353, 3299, 7350, 1328, 7091,
      1117, 8093, 4246,  802, 4547, 4448, 6060, 5326, 1848, 6998, 1977, 5384, 1685, 4871, 3392, 4290,
      5950, 6523,   24, 4840, 7998, 5219, 5797, 2376, 1081, 5808, 2602, 7308, 7131,  438, 2726, 1336,
      3526, 2565, 6236, 5946, 7846, 7173,  872,  987, 5807, 1773,   50, 4052, 3295, 4106, 3724, 3046,
      7932, 3781, 1815, 2692, 3007, 7114, 7666, 3359, 1787, 3719, 4893, 3465, 7425, 2772, 7543, 3051,
      7946, 4997, 3791, 3060, 2627, 5107, 5083,  189, 2040, 7358, 3842, 3040,  838, 1000, 5378, 4156,
      3597, 2862, 1292, 5944, 3702, 7917, 8052, 5542, 6490, 1996, 5790, 1201, 3363, 5805, 5470, 1733,
      4995, 5858, 2273, 6327, 3739, 1043, 1254, 3254,  133, 5399, 7348, 2658, 4415, 2985, 4220, 4131,
       123, 3898, 4111, 4030,  711, 1352, 4333, 2109,  191, 4571, 1842, 5966,  723, 3831, 1862,   80,
      6148, 6138, 4232, 7715, 7860, 4256, 4543, 7577, 5697, 4584, 3727, 4699,  239, 3377,  616, 4650,
      2217,  150, 2852,   72, 7513, 5324, 5903, 6925, 5171, 3106, 5643, 2373, 2343, 3908,   53, 7330,
      3560, 6431, 7706, 7414, 1322, 4693, 1721, 6470,  658, 2223, 7469, 4472, 3035, 1746, 5392, 2283,
      4135, 4233, 6062, 3328, 6784, 1324, 5782, 1486, 3041, 3617, 5169, 7921, 2572, 5005, 6134, 5901,
      6634, 3713, 5286, 4354, 4261, 1275, 7796, 5472,   23, 5055, 1928,  308, 3409, 6931, 4937,  934,
      4207, 7800, 1695, 5453, 2753, 2619, 3996, 4985, 7942, 2972, 5423, 3325, 1926, 6819, 5245,  993,
      3532, 4878, 4519, 7692, 2093, 4438, 7572, 6211, 7087, 4095, 7317, 2528, 4003, 4501, 2709
   },
   {
      4721, 7471, 6669, 6168, 7388,   16, 7314, 1923, 4221, 6035, 3368, 4808, 2566, 3114, 2587, 2249,
      7487, 4837, 2569, 6166, 5707, 2066, 1645, 1644, 1300, 7689,  730, 4967, 2011,  898, 4006,  953,
       224, 2406, 5059, 6774, 3833, 4507, 6022, 7839, 6993, 6717, 4896, 6387, 3912, 2976, 4170, 2039,
      4461, 4432, 5119, 3086, 4586, 7728, 3422, 8148, 6562, 5015, 5092, 3913,   99, 7650, 7779, 7020,
      6359, 1062, 5203, 1757, 7391, 4196, 1469, 5342, 5699, 2136, 5499, 2137, 5721, 5063, 7819, 7977,
      7619, 3466, 4039, 7956,  302, 6645, 4340, 6512, 2308, 4214,  127, 6938, 5433, 7943, 7293, 7724,
      2652, 4545, 5522, 5020, 3530, 5986, 4668, 7988, 3928, 5719, 7891, 7118, 3728, 2982, 3981, 1884,
      1327, 5679, 1104, 6151, 6229, 6654, 2936, 4711, 7316,  312, 3905, 6789, 2199, 5528, 3685, 1546,
      4525, 6504, 3263, 6324, 6540, 7123, 1685,  431, 3356, 5100, 2670, 7713, 5980, 3932, 7490, 3496,
       604, 6051, 4094, 5971, 1956, 6351, 4590, 5044, 7654, 4824, 4399,  832, 2150, 4275,  983, 6181,
      3455, 8111, 3325,  421, 2294, 4759, 2429, 6575, 6089, 1267, 5421, 4338, 8053, 6242,   84, 4056,
      6565,  581, 4146, 2926,   46, 4116,   68, 3502, 6079, 2885, 3244, 2537, 7997, 5547, 5176, 5585,
        47, 7482, 6131, 3871,  288, 8167, 3894, 6415, 2055, 3436, 7518, 3544, 5243, 7237, 4497, 7336,
      2224,  409, 3853, 6409,  875,  187, 7304, 5403, 5821, 3391, 5949, 6188, 7677, 4953,  991, 2285,
      3924, 8142, 2935, 1823, 3315, 6985, 4894, 5336, 1864, 5675, 1177,  638, 5820, 4923,   80, 2033,
      1657, 7697, 2813, 7411, 2404, 2436, 1509, 1474, 4466, 3548, 1990, 4509, 5992, 6297, 1890
   },
   {
      1278,  682,  191, 5526, 5978, 2938, 2936, 5185, 3724, 2446, 1811, 4146, 7315, 1725, 6102, 6335,
      7657, 5346,   85, 1641, 7681, 3959, 6441, 6059, 7716, 1484, 3160,  313, 4001, 7600, 3360, 1267,
      5030, 5963, 3631,  681, 3240, 1028, 1679, 5941, 6125, 3941, 1655,  460,  644, 3988, 2727, 6593,
      2888,  433, 1108, 7165, 6388, 3387, 7711, 5541, 3840, 7209, 2321, 6876,  116, 5704, 2933, 2664,
      5511, 5406, 5403, 2483, 5496,  744, 3354, 5344, 7008, 2191, 4071, 3362, 7274, 1326,  107, 8054,
       951, 2134, 5906, 2690, 3935, 2071, 1660, 4713,  474, 3454, 6080, 4308, 6397, 2983, 3807, 3415,
      4873,  383, 1247, 6357, 6336, 3239, 7663, 5536,  233, 6128, 5034, 1822, 5886,   91, 4233, 2965,
      4566, 2590, 2521, 3121, 2094, 2258, 7194, 2504, 1640,  393, 1012, 5722, 1480, 3763, 4198, 2589,
      1721, 3876,   66, 1748, 3683, 3069, 5829, 5882, 7848, 7546, 5527, 7164, 5047, 4482, 4460, 3256,
      6539, 5381, 5948, 2633, 4936, 2574, 5789, 2452,  561, 4437, 6363, 1220, 2705, 7441, 4960,  902,
       846, 1243, 8104, 2029, 4421, 4988, 4311, 1109, 3707,  653, 2056, 4504, 4753,  968, 1866, 2050,
      1040,  356, 3776, 6521,  990, 1539, 1282, 2524, 7084, 6143, 1648, 6473, 1261, 1642, 5187, 1209,
      5281, 6731, 6145, 1237, 7306, 7082, 4944, 7159, 1998,  554,   12, 7778, 4509, 7582, 3233, 1756,
      1764, 5352, 3687, 1422, 7611, 2286, 3155, 2167,  669, 5422, 7461, 1284, 3583,  464, 6761, 5401,
       675, 1712, 7178, 5556, 1562, 2596, 7123, 5059, 2992, 2499, 7216, 7481, 7060, 3108, 3331, 8038,
      4080, 6568,   82, 4157, 5215, 7731, 2442, 1020, 6581,  418, 4797,  728,  958, 2218, 4175
   },
   {
      2136, 2141, 7456, 7903, 8130, 1055, 2722, 4863, 2671, 7531,  680, 4915, 6991, 5600, 3301, 2090,
      5223,  751,  364, 5175, 4633, 6223, 6739, 1469, 4411, 5248, 8069, 1052, 4084,  106, 1678, 3043,
      6565, 5326, 2151, 3481, 2036, 3803, 6332,  193, 1856,  901, 6910, 1503, 3876, 7831, 1012, 7782,
       605, 2404, 4448, 6222, 2810, 6138, 4420, 2238, 4349, 3443, 3428, 1949, 7825, 2349, 5502, 4162,
      4631, 4222, 2924, 5522, 2252, 2747, 4510,  187, 6583, 7820, 4893, 2694, 4300, 2119, 4824, 2208,
      2021, 6219,  488, 2971, 1321, 7564, 5217, 3763, 1153, 6975, 5260,  148, 5323,  330, 6201, 3808,
      3209, 2826, 4625, 4937, 2304, 7993, 3411, 3019, 7316, 6504, 5447, 5297, 5646, 6015, 4736, 1677,
      3494, 2539, 4055,  274, 3966, 4630, 4118,  858, 6660, 1913, 5328, 3761, 6677, 3457, 6964, 7246,
       633, 2619, 4210, 6019, 1296, 3174,  850, 4444, 1347, 4246, 8091, 1467, 7708, 4600, 7583, 5023,
      4542, 6499, 3291, 4864, 2373, 1428, 1781, 6466, 5229, 2523, 2458, 4616, 5276, 2319, 3134,  166,
      1779, 5133,  150,  938,  487, 2137, 4088, 2285, 3198, 2426, 5490, 3664, 1120, 1470, 1488,  634,
      7914, 6573,  626, 4942, 3864, 5171,  527, 3686, 7211, 2767, 7164, 2655, 1767,  714, 7057, 6831,
      6153, 2594, 6829, 5469, 3793, 7879, 7131, 4494, 4024, 5126, 4901, 3812, 6873, 2019, 2564, 1642,
      3874, 7487, 8110, 3997, 7735, 4063,  413, 2028, 7615, 5363, 2383, 6796, 6555, 2023, 1200,   51,
      2160, 2111, 4042, 2054, 7553, 7263,  154,  560, 7312, 3282, 6538,  725, 7505, 6213, 7961, 3461,
      5104, 6354, 3307, 7239,  544, 4148,  655, 6953, 5840, 2357, 5394, 3061, 7181, 7789, 3364
   },
   {
        71, 6911, 5195,  499, 3788, 1627, 6974, 7587, 7737, 1222, 1529, 4938, 2235, 8181, 1705,  180,
      7620, 1074, 2948, 4418, 4252, 7865, 1732, 3964,  727, 7750, 4104, 5595, 2703, 6177, 6934, 5248,
      7295, 2577, 3546, 5556, 2582, 2437, 5960, 7077, 4406, 4930, 2584, 7717, 1826, 4373, 6398, 7479,
      3720, 7884, 6238, 6965, 5748, 7648, 4228, 5041, 4590, 3552, 4014, 4699, 4128, 5662, 4463,  943,
      6134, 5009, 4302, 4703, 1513,  680, 1534, 3941, 3916,  410, 1285,  668,  583, 4657, 5402, 1390,
      5725,  419, 6963, 1908, 2451, 4564, 6964, 7535, 3340, 5074, 6800, 5569, 1148, 7945, 2969, 6826,
      1804, 2309, 3646, 5043, 5832, 4808, 5857, 7161, 5095, 3116, 4648, 7696, 7958,  873, 5646, 4093,
      7346, 7519,   88, 3459, 4189,  554,  967, 2747, 4173, 1519,  610, 2818, 6232, 3895, 2638, 2748,
      7229, 8064, 5676, 5852, 5223,  777, 2922, 5113, 6553, 3330, 3938, 2563, 4141, 3505, 1776, 7990,
      1859, 2681, 7040, 7241, 7869, 5341, 1580,    2, 6046, 6797, 3090, 1585, 2798, 2886, 1515, 6181,
      3154, 2871, 3744, 4786, 3050, 7076, 4056, 7844,  573, 2421, 5057,  793, 4390, 5321, 6165,  806,
      6108,   73, 3045, 5657, 2393, 1584, 6452, 5663, 7665, 1643, 3971, 5833, 7193, 3386, 6008, 4349,
        43, 2047, 1575, 2968, 4948, 7178,  708,  342, 3885, 8052, 6699, 7976,  496,  598, 6037, 8161,
      1302, 2251, 2201, 5479,  345, 6257, 7532, 5978, 4538, 6080, 5656,  829,  101, 6503, 7449, 4662,
      4001, 1308, 2013, 2436, 5953,  938, 5680, 1761,  216, 6415, 1600,  220,  542, 1300, 5838, 6365,
      4493, 7870, 1544, 2491, 7902,  662, 3264, 3574,  133,  315, 1332,  512, 8076, 4501, 6730
   }
};


uint16_t* get_permutation(unsigned int n) {
   return &(permutations[n][0]);
}