[0, 16388, 12292, 16390, 6, 4109, 8205, 8208, 16, 12308, 23, 4126, 12319, 8223, 33, 16418, 16421, 16426, 12331, 16427, 12335, 4144, 8240, 16434, 8243, 50, 53, 12341, 8244, 4157, 64, 4161, 8258, 8263, 16462, 12370, 4179, 87, 4184, 8279, 8281, 4186, 4191, 97, 8289, 100, 4198, 4203, 8310, 8314, 12410, 4222, 16511, 127, 16512, 16519, 12425, 138, 139, 12429, 143, 4243, 12436, 8340, 4246, 4247, 16535, 8345, 8342, 8347, 12445, 8354, 4262, 174, 8368, 4274, 8372, 12469, 4279, 12475, 189, 191, 12481, 12484, 4297, 202, 205, 4301, 12495, 209, 210, 212, 16597, 4310, 12503, 16601, 4319, 4322, 4328, 16621, 4334, 8430, 12532, 12533, 248, 250, 8445, 12541, 4350, 12548, 8454, 8456, 266, 12556, 16654, 278, 282, 283, 8475, 290, 291, 16675, 293, 12582, 4391, 12583, 4393, 294, 4399, 303, 4402, 12596, 16697, 4411, 16704, 12609, 4420, 12612, 12613, 8520, 329, 8524, 16718, 4431, 337, 4434, 340, 4439, 12635, 8543, 16737, 12641, 16741, 8550, 367, 368, 16755, 16758, 8570, 12669, 16768, 12674, 8580, 12679, 4491, 16782, 4498, 12692, 12693, 4502, 8600, 4505, 16797, 4514, 422, 12714, 8624, 8625, 4534, 438, 12728, 8634, 8642, 16837, 4549, 4555, 4556, 8655, 12752, 8657, 4571, 8669, 12766, 16864, 16868, 4583, 494, 12783, 8693, 12789, 12791, 16887, 8698, 4606, 4607, 12802, 515, 16899, 12806, 16903, 12808, 8712, 16905, 12811, 8716, 16910, 12815, 12816, 8721, 4625, 4629, 8728, 4635, 540, 16925, 16929, 547, 16932, 16933, 4646, 8746, 12843, 8749, 4656, 4660, 16948, 4663, 12858, 571, 16956, 572, 8762, 16966, 583, 8776, 12872, 4678, 4683, 16971, 589, 590, 8781, 4685, 12889, 8794, 8799, 607, 4706, 612, 17001, 623, 17011, 8821, 4726, 4729, 12926, 8831, 17022, 12929, 12933, 4741, 649, 17034, 12942, 8846, 12944, 665, 12960, 678, 8873, 4778, 12974, 8883, 4789, 8887, 4803, 708, 12997, 710, 8904, 13001, 17101, 13006, 719, 13008, 4817, 4813, 8920, 4827, 17115, 4832, 737, 738, 4835, 13024, 8934, 748, 8941, 755, 759, 8952, 8953, 4855, 17147, 8956, 4863, 8960, 17154, 8962, 773, 4870, 8967, 17159, 17164, 781, 13068, 4879, 8975, 17165, 13074, 13071, 17175, 791, 8987, 4895, 13087, 13089, 4899, 13094, 17191, 13097, 13098, 13108, 17205, 17211, 4926, 13127, 4937, 4939, 845, 13134, 4945, 17236, 17237, 853, 4951, 9050, 4955, 17244, 4957, 17246, 17248, 4963, 17252, 17253, 4966, 4970, 17259, 876, 13165, 13166, 13164, 880, 17266, 883, 4980, 4982, 4984, 889, 13178, 893, 4993, 898, 4997, 9094, 4999, 903, 9101, 5008, 9107, 13203, 920, 5017, 930, 13221, 933, 937, 938, 5037, 5038, 944, 13235, 13239, 5051, 9149, 5055, 13249, 9155, 9160, 5064, 9165, 5072, 9169, 13266, 5074, 5073, 979, 13278, 9182, 5089, 9192, 1004, 1007, 9199, 13297, 9202, 9206, 1017, 1018, 9214, 5122, 1027, 13321, 13327, 13330, 9238, 9243, 9244, 9249, 5156, 13351, 13355, 1069, 9262, 5166, 1082, 9275, 9276, 1086, 13383, 13384, 5194, 1102, 13392, 5203, 5204, 13400, 9305, 5215, 5217, 13410, 9314, 13418, 13424, 1137, 13431, 1145, 13434, 1147, 9338, 1148, 5244, 1151, 13438, 1154, 1158, 5264, 13458, 9363, 13461, 13474, 5290, 9386, 1195, 1199, 1200, 9393, 9398, 1209, 9402, 9403, 9423, 13520, 5329, 9428, 9432, 1245, 13535, 9445, 9446, 9447, 13542, 9452, 5364, 9462, 13560, 5369, 5371, 5373, 1278, 13568, 9476, 9478, 1287, 13574, 5383, 5391, 1299, 5400, 5401, 9498, 5406, 1310, 13599, 13605, 13606, 1323, 9517, 13613, 9528, 1336, 13625, 9537, 1346, 9540, 1350, 9545, 13642, 1355, 9546, 9549, 13649, 9561, 13659, 13661, 5470, 5471, 5469, 1378, 9572, 5477, 5479, 13673, 5482, 9578, 1390, 5489, 5491, 9598, 5505, 13710, 1425, 5524, 1431, 1434, 5533, 13725, 1450, 1451, 1456, 1458, 9652, 1463, 5560, 13755, 13760, 1485, 1490, 1495, 1499, 9692, 5599, 9699, 5612, 13806, 9711, 13809, 9716, 1525, 1524, 1527, 9717, 9720, 9722, 13816, 5629, 9727, 13826, 9731, 5637, 5639, 13832, 9740, 9743, 1562, 5659, 13854, 9763, 1572, 9765, 5670, 5672, 9768, 9772, 5678, 9774, 1584, 13875, 13876, 9781, 1591, 1593, 13886, 9790, 5704, 1608, 5711, 13904, 9810, 1620, 9823, 13921, 5731, 1635, 1639, 1640, 13930, 13935, 1648, 9840, 1649, 1656, 9848, 5754, 5752, 1658, 9853, 5758, 13957, 13959, 1677, 1680, 5777, 9872, 13971, 1683, 1686, 1691, 13983, 9895, 5800, 13993, 1709, 5806, 1713, 1720, 9915, 9916, 14015, 9925, 5834, 9931, 1743, 14033, 14036, 1748, 1752, 5855, 9956, 5862, 9964, 14063, 9968, 9974, 1785, 14075, 9981, 14077, 14083, 14085, 14088, 9992, 9995, 1804, 10006, 14103, 5913, 14109, 1822, 1823, 14114, 14115, 1828, 1829, 1830, 1839, 5938, 10035, 10036, 10038, 5943, 1848, 5944, 5950, 10056, 1870, 5968, 5971, 1877, 5975, 1880, 1882, 5985, 5990, 10088, 10092, 10093, 5996, 14189, 1904, 14195, 6004, 1909, 6006, 6003, 10108, 10109, 6016, 14209, 6018, 14212, 10126, 1935, 1936, 14230, 14233, 10139, 14235, 10148, 10149, 14244, 10158, 10161, 6065, 6070, 6073, 14283, 10189, 6095, 10192, 14300, 2013, 2014, 2015, 10209, 6114, 10211, 2020, 6119, 14315, 10220, 2034, 10233, 6143, 2049, 10244, 14348, 14361, 10272, 2084, 6188, 6192, 2097, 10291, 6196, 14390, 10300, 10302, 10307, 2115, 14409, 14410, 6218, 6217, 2125, 2126, 14415, 10320, 14416, 10323, 2138, 6239, 14441, 2156, 14453, 10358, 10357, 14454, 6265, 2170, 10369, 14473, 14474, 6283, 6291, 6294, 6295, 14489, 2203, 6300, 2205, 10397, 14493, 14496, 14492, 2211, 6311, 10415, 6319, 2226, 2231, 10426, 10439, 6345, 14537, 10445, 14541, 2257, 6354, 6355, 2268, 2270, 10468, 14564, 6374, 2279, 10473, 6380, 2287, 6388, 6393, 2297, 2300, 10495, 6402, 2306, 2308, 14597, 2310, 2307, 6408, 2313, 10505, 10504, 10510, 6415, 14610, 10515, 10519, 14617, 6425, 2331, 6426, 6432, 14627, 14637, 10550, 10553, 2362, 2370, 6469, 2374, 14666, 10572, 2382, 2384, 6481, 2388, 2392, 10592, 2400, 10594, 6499, 6504, 10601, 10606, 2415, 10608, 14713, 10618, 14718, 14719, 10622, 14724, 2437, 6535, 10632, 14728, 2442, 14730, 6540, 2446, 14734, 6544, 10643, 6549, 6550, 6556, 6557, 6558, 14751, 14758, 2471, 10664, 6567, 14762, 14772, 10678, 10680, 14780, 10686, 14787, 10698, 2516, 6612, 2519, 10713, 6620, 2525, 6622, 14812, 10720, 6627, 14823, 14825, 14829, 2543, 10735, 14835, 2548, 6645, 6643, 14837, 10744, 14840, 2552, 2556, 14849, 10754, 6661, 10760, 10763, 6667, 14859, 14865, 6676, 14869, 10773, 10775, 10772, 10777, 6681, 14874, 10782, 2592, 6693, 10791, 2599, 6695, 2607, 10800, 2611, 6710, 6716, 10825, 14924, 10829, 6734, 2643, 2644, 6745, 2651, 2653, 6754, 10853, 10854, 6758, 2673, 6777, 2682, 10875, 2686, 10878, 14977, 2693, 2695, 2696, 14985, 6800, 14997, 2711, 2712, 10906, 15012, 6820, 15029, 15030, 2743, 10934, 2742, 2754, 15044, 6854, 2762, 10961, 15057, 10964, 15062, 6872, 15064, 6875, 6876, 10972, 2788, 10980, 6886, 6889, 6890, 6893, 2804, 2811, 2813, 6914, 6917, 11015, 15112, 15113, 2827, 6925, 11024, 15128, 11032, 15129, 15131, 2844, 15136, 11042, 6948, 6953, 15147, 2860, 6959, 6963, 11061, 2872, 2874, 11067, 2880, 6978, 15171, 15177, 2896, 11089, 15187, 6995, 11094, 15191, 2910, 11104, 7010, 7012, 15214, 2926, 11120, 11126, 2937, 11129, 15228, 11135, 2944, 2949, 15246, 11152, 15249, 11155, 15252, 2965, 11158, 7061, 11159, 2973, 15262, 2975, 11168, 2978, 7075, 7078, 2991, 7088, 2992, 7097, 3002, 7099, 15296, 11201, 3010, 7109, 15303, 15304, 7113, 7116, 15309, 15311, 7120, 3029, 15319, 15322, 15337, 15341, 3054, 15347, 3062, 15352, 3064, 15356, 7168, 7169, 3072, 3075, 15364, 15365, 7172, 3076, 3080, 11272, 11275, 7183, 15380, 15386, 7196, 7200, 3105, 15393, 3106, 7206, 11311, 15409, 3121, 11314, 11331, 7235, 3143, 7244, 11344, 7253, 15451, 7262, 3169, 15458, 3177, 3178, 15473, 15476, 3193, 3195, 7293, 11389, 7295, 15489, 11395, 11397, 3208, 3209, 3216, 3221, 3225, 3226, 15515, 7324, 15517, 15519, 3235, 15525, 11433, 11435, 11442, 11445, 15542, 11452, 7356, 3267, 3269, 15558, 11462, 3275, 3278, 11471, 3280, 15569, 7388, 11485, 11489, 7393, 15592, 11496, 15598, 15602, 15605, 15610, 7419, 3325, 3333, 3344, 3351, 15642, 3356, 15657, 3372, 7471, 15668, 15669, 7476, 3386, 7483, 15679, 7489, 15682, 7490, 3397, 11589, 3398, 7496, 3401, 7501, 15693, 3410, 11605, 15704, 3423, 7526, 15721, 7535, 15728, 7542, 3448, 11641, 7547, 3455, 11661, 7567, 15761, 7572, 15773, 7584, 3489, 7591, 3495, 11691, 15789, 7598, 11695, 3505, 3507, 3508, 3511, 3512, 7609, 15799, 7611, 3513, 11710, 7614, 3524, 11718, 15815, 15818, 7630, 3536, 7634, 11732, 15833, 15836, 7648, 11748, 7653, 11753, 3562, 15852, 15857, 7669, 15863, 7673, 11770, 11774, 15874, 7692, 15888, 11797, 3605, 7702, 15893, 7707, 11807, 11809, 3624, 11820, 3632, 7729, 7730, 11826, 11828, 3637, 3644, 15932, 3647, 7750, 3656, 7758, 11854, 7765, 15957, 11864, 3673, 7771, 3679, 15967, 15970, 3684, 15976, 3693, 15981, 15983, 15987, 7804, 3716, 7813, 7814, 7812, 3720, 7817, 7820, 3724, 11921, 7826, 7827, 3733, 3735, 3736, 11931, 11934, 11938, 16036, 7847, 11953, 3761, 3764, 7863, 11969, 16066, 16069, 7881, 3790, 16081, 7896, 7899, 11996, 7904, 12008, 12016, 16116, 12020, 7928, 12028, 12030, 3842, 3843, 3845, 3848, 12043, 3852, 3854, 16144, 7953, 12050, 12054, 7959, 3868, 7969, 12070, 7977, 12076, 16175, 7984, 12082, 7986, 7990, 7992, 3910, 12104, 16203, 3916, 3917, 8012, 3925, 8028, 8031, 12132, 12136, 8040, 3945, 3953, 3954, 16243, 12148, 3957, 16246, 8055, 8059, 16255, 8065, 8066, 12167, 12168, 12173, 8077, 3986, 8092, 16286, 12192, 4001, 8096, 8100, 8102, 16296, 12211, 16318, 4039, 12240, 12241, 16340, 8149, 4054, 8152, 8153, 12249, 8154, 16351, 8160, 4064, 12257, 8163, 4071, 16359, 8169, 16362, 12271, 16368, 4083, 12277, 8183, 16380, 8190]