test.py

a = [1344, 5670, 6916, 3257, 7823, 2400, 1515, 236, 20, 595, 2984, 1188, 5710, 5937, 877, 3013, 5136, 7382, 9446, 9900, 7183, 8340, 225, 6461, 7980, 8339, 5531, 8964, 6057, 8908, 570, 9221, 2322, 5034, 7187, 2334, 6820, 4838, 8852, 2802, 568, 4924, 471, 4226, 3928, 4066, 8998, 8273, 9077, 2957, 3671, 8439, 9517, 7003, 5743, 3970, 8219, 2011, 3255, 7364, 5759, 5352, 5651, 8801, 9178, 331, 5298, 9504, 4920, 7643, 8548, 4075, 6519, 7036, 8230, 8655, 8954, 9949, 474, 451, 8238, 2674, 3365, 6369, 7899, 2364, 9372, 9229, 5558, 5520, 3153, 2304, 923, 6660, 6505, 400, 9563, 1319, 3514, 73, 1955, 42, 9352, 2510, 5133, 9369, 5767, 1998, 1060, 2605, 4879, 2620, 6235, 7233, 4977, 3265, 1494, 9915, 2547, 2920, 7235, 1815, 6876, 8653, 4810, 6208, 3876, 7719, 7293, 1666, 1694, 3178, 1962, 7905, 9746, 5949, 5445, 3841, 8341, 2637, 4101, 2277, 5274, 8889, 1688, 1211, 7179, 5447, 1009, 7525, 6621, 8785, 3611, 2381, 7884, 2658, 1698, 8276, 1629, 2911, 1550, 6034, 4934, 696, 7589, 1940, 4349, 2639, 3206, 4304, 2883, 4186, 3094, 7472, 1309, 5762, 9844, 1630, 4608, 256, 9217, 1110, 235, 7946, 4061, 6226, 2031, 7852, 4426, 9327, 5725, 6597, 921, 8763, 5811, 6243, 1646, 7561, 1005, 47, 3373, 4657, 9472, 2993, 3092, 6544, 1721, 1038, 8923, 5738, 8317, 9832, 271, 2086, 1968, 7012, 2811, 2130, 3790, 8459, 1722, 6503, 6397, 6639, 5319, 3114, 1258, 8501, 4441, 6571, 5146, 2760, 1739, 3324, 3283, 2142, 4809, 733, 2267, 8407, 410, 1037, 3957, 3205, 2496, 7426, 4528, 4542, 5620, 3355, 7186, 9500, 2458, 7358, 6613, 9665, 456, 288, 7436, 6730, 1245, 5605, 7517, 9081, 1568, 957, 3490, 5125, 9325, 2863, 77, 2729, 607, 6035, 3192, 1441, 6101, 4465, 1991, 2252, 7794, 1951, 8448, 4396, 3471, 1438, 352, 5816, 1419, 8082, 5351, 4554, 6292, 3873, 8199, 378, 1797, 1524, 2103, 2176, 844, 8963, 8478, 1936, 6220, 5023, 7639, 8299, 8479, 1586, 4256, 2124, 1462, 812, 4470, 873, 8224, 1275, 7921, 8295, 216, 9134, 3224, 299, 3165, 4267, 1643, 7732, 3729, 8989, 7271, 4463, 4296, 6216, 5459, 7675, 823, 7660, 3848, 7695, 85, 9101, 7027, 8006, 2876, 2613, 3976, 5439, 2219, 2805, 3576, 91, 395, 964, 44, 1264, 2828, 1735, 2336, 1961, 7981, 3004, 4546, 1424, 5244, 9336, 4249, 3622, 5793, 9632, 2209, 6910, 3272, 8011, 1121, 8292, 8122, 905, 5263, 189, 7952, 3885, 5315, 4985, 5718, 3867, 7688, 9282, 8040, 361, 993, 2268, 2450, 9786, 1198, 7481, 1180, 3869, 2772, 4689, 7784, 4559, 2740, 7303, 7875, 602, 5120, 4289, 3175, 8628, 8338, 1036, 285, 2274, 5893, 8566, 3495, 1787, 4102, 8867, 2157, 2817, 248, 9523, 5933, 3476, 6754, 6523, 9785, 162, 3366, 6555, 9483, 5264, 6719, 7597, 7021, 2118, 4635, 5316, 8691, 5474, 6864, 9691, 7747, 4032, 6838, 3887, 7801, 6011, 1871, 8045, 9324, 725, 6309, 6891, 253, 5694, 5884, 6917, 498, 5799, 7247, 4364, 5630, 5576, 6467, 5899, 5746, 403, 6427, 546, 2643, 1856, 1120, 5484, 9014, 2221, 6212, 8687, 7221, 9143, 3670, 890, 5020, 7665, 6321, 869, 7392, 2980, 8911, 9685, 5269, 5070, 8285, 5938, 1979, 7250, 5624, 5088, 8458, 457, 9747, 5393, 9962, 5369, 3768, 5917, 245, 2977, 2461, 3520, 5166, 4547, 6866, 2738, 6981, 4412, 845, 4720, 6682, 6708, 4529, 1743, 4757, 7749, 9784, 3450, 4334, 8269, 6798, 5842, 4320, 5911, 3347, 192, 2416, 636, 740, 5485, 1479, 9943, 1601, 2757, 1498, 7029, 3381, 9422, 4082, 7883, 6899, 9591, 6043, 9441, 5016, 1082, 745, 4208, 409, 9773, 8366, 185, 7427, 1145, 5529, 5203, 4192, 4362, 8449, 5416, 8267, 887, 6534, 6335, 7968, 9110, 6351, 984, 2477, 4574, 9600, 7314, 4377, 5032, 2198, 8141, 9912, 8053, 1182, 5786, 8382, 6112, 654, 6342, 994, 8706, 5197, 8243, 2264, 5994, 9950, 8682, 6748, 4888, 6495, 1924, 3504, 8098, 1477, 4885, 3078, 730, 7490, 116, 2486, 9449, 4709, 3057, 3475, 6303, 9796, 4363, 6946, 9854, 2555, 5498, 2838, 9235, 7255, 357, 4095, 2763, 5875, 232, 6997, 9408, 3590, 9156, 39, 7033, 797, 9256, 8629, 9522, 8177, 1778, 1523, 5953, 4576, 7327, 3817, 9075, 1417, 5687, 3060, 2158, 5764, 9279, 3502, 1593, 6423, 5060, 7554, 7556, 6518, 6804, 4766, 3233, 5826, 968, 5077, 8000, 6219, 6882, 4726, 1714, 2343, 4680, 1720, 1436, 2608, 6021, 2626, 2842, 148, 3337, 7834, 2616, 3685, 5626, 2764, 2100, 3007, 1761, 1074, 3493, 1870, 1267, 6734, 2550, 2565, 6242, 6753, 370, 9619, 1254, 3151, 6812, 2485, 3404, 2953, 2893, 3084, 4222, 509, 9704, 6230, 1343, 3567, 3523, 5586, 453, 6703, 2470, 7608, 5715, 5542, 6297, 2698, 2244, 5390, 1030, 6360, 2426, 1093, 500, 4133, 9688, 1253, 7861, 2950, 9163, 7696, 2212, 9867, 6239, 757, 792, 70, 2018, 2937, 9757, 6492, 2374, 2301, 1380, 8190, 5755, 1901, 5783, 7582, 702, 7634, 1349, 2087, 950, 855, 2240, 4198, 1465, 5916, 4060, 516, 2770, 74, 4034, 8701, 3824, 6293, 525, 3941, 3598, 7969, 8999, 3054, 5673, 4676, 1975, 6605, 8983, 9729, 2554, 9357, 6412, 2926, 9907, 4507, 9616, 4278, 2804, 8828, 4913, 2045, 8669, 6956, 522, 2929, 7543, 8693, 260, 2561, 8248, 3986, 438, 8308, 7292, 7828, 4637, 9855, 4960, 4405, 6419, 9360, 5062, 2338, 8426, 6030, 9297, 9748, 703, 8191, 7798, 367, 5699, 1564, 2265, 9986, 4677, 7590, 4806, 7624, 1887, 9445, 2234, 2106, 6552, 8778, 5809, 1932, 4370, 286, 615, 1613, 7870, 4767, 2938, 3916, 6166, 4399, 6405, 3370, 9987, 8771, 2774, 816, 5207, 2204, 6047, 9494, 4108, 5000, 9853, 944, 4830, 1386, 5482, 3322, 9189, 7134, 9739, 2168, 2892, 5661, 5796, 7504, 2073, 7055, 780, 8484, 720, 9798, 8436, 4286, 4372, 9309, 1617, 3208, 1802, 7750, 6162, 8732, 639, 9106, 6078, 2146, 4696, 4274, 7284, 870, 1383, 9997, 2683, 7893, 9935, 5604, 8798, 1531, 8968, 3454, 5879, 2783, 619, 723, 9640, 3150, 7231, 7172, 6574, 1987, 9064, 5025, 4698, 8703, 8740, 9343, 529, 3821, 5777, 4058, 5514, 9391, 2985, 435, 9019, 8787, 9204, 90, 6424, 4729, 9946, 1794, 3398, 8420, 5204, 8374, 8710, 3282, 3580, 4908, 6598, 8933, 1804, 8108, 8644, 4693, 3537, 7091, 7315, 9268, 9330, 2096, 5057, 8307, 3792, 6018, 5283, 3969, 4088, 9174, 1071, 9255, 1546, 5951, 5181, 8078, 1886, 4191, 8258, 6010, 2220, 2627, 4956, 7559, 1573, 9473, 5384, 3029, 7551, 1966, 7345, 5106, 1213, 3262, 2193, 9004, 8577, 7523, 4594, 4335, 3411, 1619, 8452, 6041, 7175, 1633, 4959, 8811, 9857, 1577, 1681, 6170, 775, 3330, 7775, 3636, 8790, 64, 8681, 9270, 8637, 553, 458, 2722, 7539, 4055, 3443, 2261, 4660, 8015, 5388, 4450, 7544, 9319, 6262, 5038, 2752, 9508, 3961, 1096, 6887, 2370, 3999, 1771, 2700, 7928, 4350, 109, 6140, 629, 8031, 8399, 8316, 7206, 379, 5878, 6160, 7374, 2262, 5497, 8683, 8223, 9583, 3756, 1662, 1865, 4352, 9860, 1918, 8193, 6500, 1300, 1505, 4123, 2677, 5061, 9554, 4981, 9058, 6473, 4393, 7037, 2246, 8473, 3674, 4143, 2979, 5383, 8413, 980, 5692, 5646, 1053, 4132, 925, 6624, 2058, 9802, 2537, 7681, 3589, 6103, 979, 3936, 5294, 9993, 858, 1500, 2054, 7060, 4699, 3602, 3679, 8941, 3362, 4847, 9216, 1945, 8716, 3066, 5589, 5231, 1035, 2346, 3889, 989, 1421, 3787, 3045, 4020, 4950, 2224, 938, 4253, 8351, 3374, 4180, 6456, 9429, 8012, 7820, 9475, 5527, 8228, 4221, 8096, 4933, 2498, 9604, 777, 3822, 1784, 6344, 8578, 3625, 8443, 102, 443, 808, 8332, 7268, 3286, 335, 1489, 1127, 785, 1957, 9486, 8206, 2396, 2982, 8110, 9646, 358, 2525, 5168, 7214, 3739, 4336, 106, 4124, 1158, 2272, 59, 2568, 9274, 5331, 4477, 6699, 2291, 3870, 4749, 9758, 2823, 7259, 6985, 959, 5897, 7846, 9234, 84, 3289, 7291, 2907, 6287, 6767, 6790, 3136, 6225, 4609, 4483, 9464, 6578, 1373, 2563, 7081, 1841, 1433, 6024, 2860, 6414, 666, 2404, 1691, 5406, 7276, 8213, 9532, 7361, 35, 1737, 7693, 1354, 8421, 1655, 8696, 3737, 6978, 6536, 708, 7285, 9046, 2442, 5083, 1304, 112, 5657, 6396, 7919, 2226, 6385, 9568, 520, 4569, 9383, 1869, 8253, 8525, 4243, 3566, 5475, 7184, 7308, 4398, 9190, 4443, 7566, 769, 7944, 4255, 3809, 7377, 8021, 5153, 5752, 3040, 4375, 182, 555, 310, 8365, 9477, 6940, 1654, 3115, 8352, 5160, 4067, 726, 6458, 7788, 6765, 6511, 7800, 2114, 5085, 2961, 5205, 5097, 9099, 3313, 7341, 282, 8462, 6451, 3778, 5005, 8797, 4944, 9689, 3612, 6938, 7848, 8905, 1760, 5300, 8835, 4817, 9140, 1749, 2728, 9331, 6090, 4614, 8652, 1671, 6071, 1034, 2601, 609, 927, 7970, 7335, 7588, 9443, 4099, 1161, 1312, 6721, 9752, 1150, 131, 8560, 2413, 4157, 5966, 9125, 1429, 7305, 7783, 1863, 4323, 4453, 6672, 8953, 3216, 6766, 9071, 2037, 4175, 1952, 7569, 9455, 7428, 1119, 2978, 8319, 1428, 1806, 9404, 439, 2397, 7096, 9242, 2819, 3403, 6575, 8621, 7130, 427, 975, 4402, 1788, 4423, 9535, 9842, 6172, 3309, 2850, 4865, 5412, 661, 344, 6742, 6164, 6487, 1133, 273, 2412, 3293, 1540, 7245, 5955, 4306, 5659, 6616, 3579, 7786, 434, 4033, 3219, 5129, 7518, 8431, 1351, 6827, 5006, 6341, 3198, 2767, 9450, 1999, 9978, 731, 7190, 1578, 416, 2504, 973, 3728, 7154, 2703, 2736, 6587, 7992, 5805, 380, 9629, 2113, 1553, 6564, 8918, 8697, 4057, 3270, 2997, 5195, 2572, 6641, 2175, 7001, 5525, 348, 864, 8524, 9534, 3314, 1342, 7748, 8638, 1824, 5988, 6695, 1817, 9501, 476, 4664, 3712, 6356, 2786, 345, 8564, 1682, 8036, 9999, 3418, 753, 9299, 7398, 5502, 8605, 510, 5611, 6161, 7546, 8007, 2494, 1916, 4386, 6169, 9214, 3526, 8887, 8124, 4975, 1812, 7413, 9815, 2708, 2624, 23, 8539, 4646, 7605, 2796, 5536, 8844, 3328, 1139, 4242, 5346, 7934, 9794, 996, 7873, 2596, 3597, 9230, 4231, 46, 888, 1302, 4533, 7902, 5028, 5385, 5227, 1293, 3522, 5603, 847, 732, 618, 4605, 8444, 5434, 3380, 9732, 2314, 2385, 1908, 8562, 571, 8817, 9838, 4986, 8180, 5653, 2160, 4155, 5753, 3842, 1632, 2245, 8818, 2927, 6002, 4503, 4555, 667, 2859, 3793, 1610, 8205, 9033, 6364, 5992, 1443, 8390, 3509, 6907, 2642, 484, 3182, 9341, 1902, 8598, 5788, 5723, 6779, 5159, 4018, 9461, 2661, 9253, 267, 8589, 6358, 4770, 3332, 9300, 6440, 6761, 4998, 7542, 8331, 9258, 9096, 6541, 8212, 7085, 4580, 5880, 4117, 6417, 2090, 3177, 7499, 5404, 2434, 1270, 6837, 7541, 7339, 4890, 6438, 4935, 4858, 1864, 3997, 8254, 8804, 540, 6833, 8451, 649, 1464, 4940, 5317, 856, 527, 9761, 3110, 5279, 9303, 2035, 2771, 3745, 4139, 7501, 462, 26, 849, 3837, 2549, 1923, 4299, 9201, 8574, 7516, 8898, 444, 4884, 3253, 4461, 506, 9476, 530, 7005, 2830, 6233, 9974, 4798, 3001, 9573, 4466, 2981, 5915, 5769, 5681, 4764, 9550, 9052, 8251, 4287, 4408, 3548, 3492, 660, 6390, 1360, 900, 2574, 7733, 3131, 4716, 3995, 4524, 721, 9406, 3959, 3662, 5835, 9180, 8879, 7923, 4616, 9699, 296, 7145, 8727, 9995, 7466, 3615, 5986, 1562, 4185, 9753, 4926, 9153, 3836, 210, 742, 7089, 5150, 4947, 7940, 1690, 5583, 9034, 9417, 9056, 2285, 5130, 3129, 8680, 998, 8792, 9516, 8229, 7982, 2064, 4678, 659, 408, 8951, 9252, 36, 9177, 2357, 1842, 6829, 6394, 8380, 8460, 9487, 3697, 8781, 8979, 8035, 716, 1222, 3637, 5638, 2192, 1129, 6835, 7581, 3582, 8888, 4326, 7104, 9630, 5761, 2253, 4787, 8323, 7706, 1859, 6988, 7637, 9236, 6432, 4855, 6953, 3621, 5522, 5017, 1210, 9862, 7168, 1008, 3132, 4277, 1830, 8723, 2078, 6136, 2815, 893, 9503, 3627, 7017, 6013, 7326, 8590, 7135, 6135, 3638, 1331, 6065, 9037, 3311, 6283, 2376, 5787, 2795, 840, 8807, 7223, 9381, 6120, 7030, 8699, 2952, 3342, 1669, 5113, 4548, 7838, 141, 946, 6337, 1602, 2445, 2257, 2460, 9537, 584, 2066, 1371, 3964, 5007, 9770, 7101, 7580, 9187, 4097, 4174, 4739, 6922, 464, 49, 3789, 2827, 75, 5040, 9998, 4650, 4654, 2214, 5776, 6221, 2468, 4658, 8768, 1983, 9507, 3498, 7051, 2583, 1396, 3251, 6372, 4541, 892, 5946, 5145, 1884, 3852, 3323, 366, 8737, 9829, 1389, 7494, 7288, 7323, 1027, 4782, 5301, 4098, 6569, 7, 2732, 3759, 601, 5496, 6992, 1930, 9601, 8397, 1173, 6367, 1641, 5355, 8234, 514, 4063, 5883, 5148, 2625, 5797, 7819, 5999, 1597, 8247, 3797, 4130, 4457, 1900, 8704, 889, 393, 5413, 6185, 6565, 7115, 8322, 6757, 784, 8666, 515, 2263, 4987, 1482, 3990, 4305, 2349, 9456, 7230, 5509, 521, 6792, 5830, 1754, 759, 28, 9928, 3235, 4022, 9750, 5476, 8581, 803, 5354, 7645, 7018, 7395, 9570, 1259, 1487, 2372, 6691, 3673, 2614, 7965, 2885, 8820, 1700, 9389, 4471, 2692, 9032, 1570, 1903, 5940, 1195, 2686, 9586, 8997, 2451, 6919, 7123, 167, 2407, 5309, 4196, 7730, 8492, 1925, 6908, 1713, 8656, 6279, 7781, 461, 9684, 43, 1176, 2462, 278, 937, 1953, 6196, 6278, 7461, 3891, 4982, 7827, 1836, 2844, 2439, 4073, 6896, 6724, 1320, 9048, 2294, 526, 9250, 2305, 5821, 1683, 8381, 3408, 8282, 6428, 6950, 5592, 8782, 3042, 7321, 3199, 883, 9079, 5382, 6650, 4487, 9273, 5254, 5410, 8943, 1826, 1780, 2164, 2558, 6124, 5074, 7984, 9754, 7369, 655, 1327, 9622, 8263, 6661, 3875, 805, 1412, 3146, 5108, 5468, 7246, 3939, 1142, 9368, 1475, 4345, 6872, 8715, 8676, 5329, 9278, 3145, 7885, 2520, 3356, 3041, 9395, 9564, 8401, 397, 6615, 6857, 3348, 9777, 1910, 8973, 8481, 9465, 391, 8411, 5266, 1469, 1838, 3359, 929, 8874, 8261, 4593, 8297, 2056, 502, 3863, 6201, 424, 7922, 4113, 6942, 9578, 3308, 5222, 2159, 1488, 9672, 1752, 3263, 6743, 4455, 6546, 6499, 8490, 1810, 2948, 5154, 7826, 9595, 9655, 6583, 1800, 3396, 9354, 8799, 1217, 908, 7694, 1648, 421, 1779, 9774, 4206, 7931, 94, 9135, 3477, 2562, 3811, 2991, 6056, 7939, 2060, 5967, 8025, 5950, 8996, 3367, 4387, 5751, 2527, 2195, 3550, 5477, 4056, 2384, 4662, 292, 1248, 1731, 2472, 839, 4799, 4489, 1236, 6031, 1645, 149, 2480, 2129, 2715, 580, 1052, 1668, 6295, 9968, 8634, 8121, 1526, 2352, 6606, 8764, 1814, 8470, 2180, 9687, 2278, 9067, 7741, 2919, 3929, 4672, 552, 1468, 722, 3277, 212, 6197, 5972, 433, 6190, 9289, 4711, 7449, 813, 205, 1011, 2483, 7629, 3479, 4141, 3830, 3453, 2958, 7222, 5068, 1874, 3726, 3401, 8046, 6715, 8623, 6674, 5290, 4558, 2888, 2701, 3659, 9285, 8743, 5800, 3688, 5247, 9469, 6202, 5812, 5417, 3833, 346, 6407, 976, 7290, 2511, 2569, 3088, 5622, 9326, 5044, 4293, 9266, 6436, 9400, 9879, 9520, 9644, 9460, 6033, 9711, 1224, 1457, 9161, 136, 9894, 9985, 8415, 6147, 9765, 7124, 4005, 177, 5276, 1411, 8412, 8073, 593, 241, 9885, 7713, 287, 1906, 9725, 9905, 9262, 4911, 1585, 9484, 8618, 2389, 5127, 848, 7262, 2210, 5376, 3801, 6648, 5202, 8777, 1963, 1548, 3815, 9610, 6809, 8111, 4570, 3651, 9471, 9499, 9130, 2531, 9167, 2316, 5311, 2471, 2514, 1181, 2038, 2166, 536, 480, 8348, 872, 1741, 3974, 8001, 9157, 4647, 9599, 4557, 8181, 6725, 2099, 6128, 8050, 4167, 1420, 5036, 4103, 5433, 5860, 9810, 8094, 7280, 5574, 281, 4724, 8651, 7871, 5249, 2191, 8387, 3260, 8176, 208, 1758, 7253, 6886, 7158, 1377, 1004, 903, 5107, 3077, 8133, 5371, 3444, 9086, 4309, 3613, 3742, 9427, 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3291, 1334, 8925, 8632, 9361, 5524, 9775, 2967, 9038, 6722, 3391, 6593, 5534, 7298, 7807, 8875, 5281, 5975, 5798, 8101, 6588, 5332, 7638, 819, 9561, 454, 247, 7142, 852, 2536, 3764, 4877, 7882, 6150, 5833, 9036, 8321, 1355, 3814, 5359, 5258, 1290, 1803, 3376, 1539, 5852, 4107, 5550, 7866, 8600, 6929, 6324, 8780, 6745, 3538, 5750, 9459, 2169, 6352, 8016, 724, 276, 9575, 2138, 3451, 5772, 2360, 198, 5792, 493, 7492, 9649, 9707, 3232, 4493, 8544, 9539, 7353, 7132, 6207, 2931, 4984, 8160, 1243, 6776, 2328, 6048, 7363, 9749, 2797, 5923, 8075, 6737, 2784, 8042, 5235, 5190, 1897, 8596, 4078, 3628, 5494, 3897, 7394, 2013, 1196, 5765, 6154, 5782, 6989, 3138, 6763, 1791, 4523, 8956, 9957, 5918, 5174, 1218, 6302, 3962, 9414, 2156, 7860, 304, 5209, 7243, 3912, 6069, 5590, 4120, 1638, 8845, 7690, 782, 3259, 4054, 6231, 9147, 6856, 8724, 5053, 2902, 82, 3844, 5021, 4903, 467, 3782, 1769, 8976, 9717, 7469, 1938, 8288, 6515, 7445, 1203, 1088, 4325, 6153, 5876, 6538, 4938, 9614, 1199, 3980, 3249, 2377, 7576, 4091, 6791, 6366, 6387, 1676, 1261, 4447, 895, 6547, 2970, 3179, 7126, 2231, 7977, 6001, 9232, 8729, 4622, 6457, 7224, 3140, 4007, 8132, 5238, 9809, 5118, 1252, 2995, 6462, 6599, 7809, 5642, 7141, 2425, 1184, 7764, 8978, 9762, 9069, 3055, 9407, 1934, 4779, 7929, 8017, 7034, 9241, 6098, 1946, 5861, 9061, 1014, 2524, 2048, 1495, 4116, 5450, 867, 7063, 2522, 5212, 1948, 2270, 3466, 1080, 4247, 4137, 3133, 1471, 2495, 4949, 2933, 1299, 4736, 3320, 9219, 12, 4104, 7564, 1839, 9304, 1511, 5444, 4044, 3015, 8849, 2532, 5836, 1237, 2391, 3091, 8692, 8873, 7702, 452, 9667, 6620, 1661, 30, 374, 617, 8530, 2232, 3399, 8268, 8272, 8455, 6785, 6359, 6339, 8870, 3473, 3154, 9723, 6194, 5616, 1560, 6263, 7619, 9819, 8984, 3966, 680, 2976, 6846, 9918, 6675, 1618, 7978, 2792, 5076, 5645, 2318, 440, 6591, 7185, 8775, 4596, 4522, 2203, 2299, 3261, 4403, 8594, 383, 6553, 7316, 4219, 2831, 9168, 4285, 9257, 1576, 5956, 9951, 2167, 1833, 3880, 8803, 3046, 2785, 4701, 3287, 6459, 8465, 1894, 4279, 7279, 2382, 2405, 9444, 6747, 3853, 4383, 1615, 5993, 8456, 129, 8416, 834, 5578, 160, 324, 8700, 2040, 4013, 9624, 3915, 3070, 9884, 9718, 4348, 5575, 2345, 9831, 275, 4783, 3204, 6420, 9759, 7107, 5488, 2528, 2052, 191, 7599, 3250, 851, 9026, 6560, 9647, 5606, 3541, 4656, 6016, 472, 2358, 6254, 9613, 2848, 1964, 647, 387, 7350, 6567, 5896, 7604, 3278, 2463, 6178, 3087, 7509, 8842, 7635, 7388, 9817, 2789, 1875, 1675, 3925, 3736, 6510, 5864, 1827, 3340, 9623, 8990, 3428, 4166, 8915, 3572, 2835, 8195, 4628, 8834, 6126, 4014, 4965, 4565, 2878, 5960, 9843, 9528, 4168, 1711, 7701, 9296, 6188, 1167, 2628, 6964, 9209, 5449, 2664, 5124, 5452, 6238, 8878, 2095, 2846, 3285, 262, 9169, 9790, 7389, 7761, 9124, 6831, 7300, 5066, 1603, 4800, 4502, 2675, 6330, 1193, 5344, 8971, 2444, 940, 9321, 7451, 9176, 8158, 1533, 3167, 3375, 9875, 1972, 2109, 4495, 5350, 9751, 8606, 9396, 3813, 1786, 9581, 3810, 1772, 2507, 6363, 7024, 9388, 4697, 6516, 5002, 3280, 4357, 1066, 1569, 4021, 2916, 3516, 7751, 6843, 3421, 9003, 8061, 2745, 6527, 8485, 5241, 3197, 3394, 1450, 4667, 4988, 1348, 4378, 6442, 396, 2387, 8553, 4823, 8969, 2731, 1755, 7728, 2002, 2744, 1506, 5666, 4805, 1750, 423, 6294, 1244, 5090, 5668, 9437, 1474, 8986, 6275, 7601, 7966, 5810, 1043, 2312, 9505, 8226, 9826, 4239, 3010, 9133, 9936, 2873, 6468, 6959, 4264, 6403, 2200, 7218, 670, 7896, 151, 8833, 7424, 446, 6489, 9731, 2517, 6070, 9576, 6481, 7648, 9043, 5513, 96, 8808, 9188, 8674, 294, 9708, 5930, 1091, 5871, 6999, 7620, 5059, 1785, 8274, 5104, 3965, 5625, 7739, 3014, 947, 8062, 9850, 4587, 7093, 1094, 2908, 7757, 924, 1766, 2187, 4254, 56, 3689, 9558, 1143, 2793, 445, 3930, 2447, 547, 9869, 5716, 5910, 842, 7301, 5913, 517, 7908, 9280, 8717, 6869, 830, 6520, 329, 9615, 8159, 4154, 523, 965, 178, 5101, 8896, 3483, 9281, 3158, 6281, 4422, 242, 7528, 8531, 8004, 2041, 5848, 308, 7282, 6836, 7967, 7435, 6115, 5669, 4686, 548, 1385, 3937, 7704, 9712, 9159, 4059, 3406, 2414, 1657, 9799, 2998, 5704, 9029, 6273, 3122, 4996, 8595, 9764, 5724, 6206, 157, 4600, 144, 835, 369, 1183, 326, 2739, 6042, 4093, 3044, 8698, 330, 2340, 9945, 5321, 971, 2177, 339, 1977, 6636, 2855, 9680, 4826, 8487, 958, 6334, 7797, 3711, 9027, 8463, 5149, 8543, 3065, 6631, 7780, 1297, 270, 9543, 587, 5478, 1089, 6904, 1046, 9213, 8788, 634, 7617, 2868, 9971, 7579, 4972, 5841, 7387, 6053, 2329, 7324, 7592, 2479, 9967, 3866, 9384, 8916, 2758, 9840, 6782, 2363, 7531, 179, 2030, 8809, 7028, 8173, 3053, 751, 8118, 7956, 2662, 7103, 866, 1530, 7032, 1922, 9763, 5822, 7720, 9793, 9094, 8005, 6244, 6830, 1851, 145, 560, 188, 1528, 8509, 8826, 743, 9966, 4818, 3905, 1292, 4475, 4474, 8521, 4201, 9172, 1793, 1393, 4435, 5658, 9333, 1316, 7241, 1062, 5051, 3901, 8810, 5483, 3059, 1696, 5553, 7072, 4731, 349, 8107, 4816, 6498, 1995, 9145, 9898, 1440, 3534, 3878, 9954, 3895, 4046, 2577, 4181, 3160, 1508, 9663, 7483, 5540, 7094, 3234, 7550, 2821, 3432, 9132, 2761, 1308, 293, 2325, 2116, 642, 3758, 4867, 3459, 9833, 4490, 9795, 697, 3820, 1318, 5114, 425, 4397, 4273, 1656, 6357, 4389, 5328, 8556, 8540, 8372, 8959, 1064, 437, 181, 5865, 4062, 9848, 8376, 3460, 9078, 1621, 9185, 4178, 3436, 5220, 9386, 5894, 4379, 1499, 576, 8232, 4905, 4962, 2430, 303, 3723, 1131, 9866, 1445, 8549, 1279, 1274, 586, 5214, 7337, 4331, 1730, 8877, 5182, 220, 5760, 4251, 8125, 6811, 155, 1486, 3148, 6713, 9669, 6663, 9065, 1819, 7432, 7773, 5232, 6045, 384, 8755, 1148, 322, 3989, 7375, 857, 9421, 6003, 532, 5849, 8178, 7479, 6237, 4666, 3725, 3155, 5795, 7489, 7568, 7943, 7443, 954, 5981, 3919, 1679, 2690, 3864, 6251, 9195, 7805, 4990, 7440, 1931, 3935, 3227, 6592, 4671, 7682, 9085, 283, 8639, 6093, 2777, 7095, 19, 5116, 5273, 4634, 9677, 3043, 6288, 6685, 8972, 4269, 5671, 52, 4308, 717, 582, 9175, 8709, 7196, 9994, 7320, 6794, 820, 2502, 350, 8056, 1958, 1407, 8461, 8929, 5194, 6186, 1594, 9107, 4606, 8980, 7613, 8970, 7845, 4019, 209, 1169, 3998, 749, 4769, 6687, 1078, 2309, 7881, 6619, 2618, 3030, 4029, 6213, 7994, 3128, 8496, 7431, 302, 9662, 1276, 6735, 4042, 1002, 4655, 7338, 683, 760, 9008, 3540, 4907, 846, 5012, 2589, 4595, 5983, 143, 744, 682, 2228, 4433, 7225, 466, 6602, 2716, 426, 9108, 7097, 7111, 1107, 1504, 6966, 1358, 309, 119, 6926, 6416, 9671, 8442, 2730, 1262, 6894, 4086, 2259, 662, 7045, 4788, 4644, 5571, 6617, 1927, 7766, 6044, 7612, 8641, 6187, 5117, 8536, 4515, 2201, 6453, 9050, 790, 8513, 4946, 6204, 3130, 5538, 4744, 5868, 71, 6081, 4866, 2122, 5712, 1233, 614, 4182, 4373, 1768, 1663, 9695, 6808, 799, 8757, 5349, 2171, 2271, 7829, 6842, 6987, 4090, 6967, 6879, 450, 1529, 2351, 100, 5961, 7237, 1365, 3296, 6906, 795, 4147, 524, 7571, 6970, 3334, 7890, 2775, 9322, 6995, 3968, 2896, 6732, 7086, 4118, 1840, 9458, 1061, 8154, 5745, 5719, 5817, 1326, 4727, 8277, 5342, 8375, 8343, 2856, 9675, 2036, 8102, 8864, 7007, 779, 5229, 6037, 4618, 4815, 6214, 2068, 2392, 9329, 6939, 3461, 861, 7717, 4625, 1, 8614, 4144, 4440, 3003, 2580, 1467, 7312, 7252, 9911, 7155, 999, 8203, 4738, 2857, 2476, 9055, 591, 7041, 2034, 9585, 9519, 4404, 8695, 6815, 5326, 9958, 9062, 7653, 92, 9220, 9315, 4942, 2689, 4607, 3805, 4437, 3191, 1286, 7035, 223, 1607, 6609, 9431, 5184, 4835, 7082, 6277, 8080, 809, 2534, 9525, 1689, 3973, 6625, 9847, 2934, 1684, 992, 8467, 9569, 8216, 6346, 6526, 4203, 9756, 2053, 6331, 5963, 7497, 2791, 8643, 7913, 1647, 7815, 5171, 6404, 8760, 398, 6463, 3862, 776, 8039, 1423, 3371, 4794, 97, 1868, 2126, 4597, 8520, 4836, 122, 8636, 3284, 5623, 6252, 8089, 1708, 2121, 9120, 5843, 2457, 762, 11, 885, 5075, 9139, 8184, 9792, 2419, 1762, 3417, 8932, 6750, 1882, 5339, 2306, 2411, 8767, 2207, 6771, 3223, 1572, 6445, 3063, 2424, 5644, 7769, 7948, 9636, 9701, 2515, 2369, 5414, 2241, 3410, 4832, 1497, 1535, 9284, 1018, 1431, 1853, 9625, 4773, 2649, 8315, 5285, 7319, 2006, 7979, 6550, 5374, 5985, 1543, 7444, 2655, 3292, 8571, 5647, 5096, 5702, 5092, 2427, 4553, 2556, 3107, 422, 628, 4321, 3922, 1151, 9091, 7197, 1235, 4414, 9542, 1899, 860, 3478, 2010, 1885, 6286, 4467, 6823, 6422, 4601, 4171, 913, 389, 2208, 2077, 594, 598, 3028, 1956, 2877, 6316, 906, 1501, 9021, 9720, 7962, 6736, 5069, 7044, 7510, 1132, 2289, 1911, 3080, 483, 8528, 9416, 4228, 5073, 4665, 4909, 5256, 4076, 134, 6778, 8428, 6637, 5825, 4026, 6323, 8136, 1058, 6772, 8685, 1448, 6651, 4863, 3127, 9700, 9442, 6696, 8344, 1649, 8476, 5492, 4047, 4125, 828, 224, 7685, 6240, 2718, 7698, 7683, 4980, 7015, 5973, 6354, 1085, 4361, 8086, 7891, 3508, 2900, 7661, 9024, 2646, 3826, 2999, 6688, 6774, 1571, 6704, 7765, 2667, 3156, 1444, 8369, 7725, 3732, 7325, 4283, 1086, 3631, 9608, 2070, 1214, 1397, 9010, 5900, 565, 120, 2398, 4129, 7602, 406, 6272, 3917, 664, 3735, 6455, 8569, 1021, 3349, 3971, 6880, 8218, 4889, 8217, 5407, 2723, 701, 1246, 2435, 3626, 9917, 7386, 5556, 2905, 5343, 3438, 9179, 8059, 3409, 4236, 99, 3181, 8675, 8027, 1168, 2079, 8386, 5587, 6392, 5325, 7926, 8815, 5448, 9031, 6168, 3440, 315, 8541, 161, 4511, 6479, 729, 3458, 8072, 3266, 829, 8367, 1757, 2484, 5336, 1702, 5977, 8486, 8306, 926, 9165, 3623, 4732, 1705, 2443, 4759, 2869, 4915, 4904, 8735, 4227, 9007, 9766, 2153, 8580, 4643, 7439, 2666, 9676, 7370, 5690, 7973, 8921, 756, 8127, 910, 2428, 3583, 250, 2945, 9641, 1604, 7888, 4997, 8358, 6976, 1566, 7226, 1834, 1637, 7313, 7397, 6702, 7471, 1247, 7193, 2631, 8855, 6557, 2794, 7019, 1733, 3239, 876, 6955, 5431, 347, 6980, 5050, 4500, 1408, 1650, 3288, 2940, 7684, 2350, 328, 7070, 6807, 645, 6678, 7200, 7758, 9397, 9387, 4610, 1660, 7668, 5421, 8640, 6376, 1509, 7642, 3494, 8081, 3872, 9872, 4639, 1862, 8726, 8774, 9162, 3351, 5982, 5518, 6484, 7256, 9818, 7473, 3420, 1611, 8162, 5700, 7108, 7993, 3652, 2492, 8688, 4319, 6681, 6870, 6859, 7232, 4314, 9863, 2211, 3653, 7524, 9565, 1381, 2951, 9881, 3640, 3023, 9323, 3496, 1532, 770, 6398, 4754, 5361, 5889, 2955, 1307, 7048, 7467, 3667, 972, 9307, 4891, 3139, 4050, 1241, 6129, 9544, 3993, 4864, 289, 1756, 1960, 3124, 4979, 6965, 9628, 1914, 9858, 3949, 1051, 2440, 3545, 5427, 4445, 6159, 3016, 3106, 7894, 8037, 9419, 4536, 2505, 4687, 9466, 1149, 6720, 5730, 922, 5543, 9340, 5501, 1280, 1310, 3037, 2429, 2807, 624, 1895, 693, 4322, 4745, 3392, 884, 5734, 7796, 3624, 2380, 1799, 4158, 83, 3661, 334, 1712, 5641, 4122, 2500, 1860, 2668, 9895, 9916, 4282, 2255, 8633, 2189, 6379, 5869, 5824, 4149, 7403, 2734, 6177, 1112, 4874, 3144, 3346, 1163, 3879, 7895, 495, 4723, 2780, 3944, 5774, 7425, 3109, 6563, 3048, 6055, 1335, 6960, 3521, 4713, 2342, 9631, 982, 9970, 7360, 3942, 258, 231, 1378, 9136, 8106, 5672, 3468, 6452, 4824, 2004, 8747, 8800, 8550, 6618, 3562, 7824, 8091, 6241, 3512, 1582, 8422, 8235, 1519, 8838, 3316, 9959, 6824, 7008, 8147, 6900, 815, 1665, 8609, 6026, 9401, 6635, 7985, 5976, 6817, 561, 3011, 4358, 5175, 176, 5451, 6145, 833, 6607, 7009, 2882, 8967, 8714, 6009, 1574, 3888, 2044, 4875, 6539, 3056, 3771, 7850, 2691, 1552, 4796, 626, 6058, 3650, 5709, 3552, 8324, 3616, 9553, 6118, 3345, 1010, 6099, 8409, 8662, 8863, 5652, 4690, 9977, 3361, 4755, 2872, 7907, 8906, 3831, 2579, 9345, 8357, 978, 2946, 4250, 3559, 1315, 8128, 8534, 4831, 5691, 5698, 8454, 8843, 2288, 6881, 5939, 6658, 1208, 4418, 4568, 6274, 8117, 10, 1781, 7652, 542, 6116, 8109, 4969, 6862, 465, 3400, 2237, 93, 1994, 1404, 1855, 4673, 1551, 5163, 7441, 3183, 3207, 5942, 7098, 8090, 1674, 5257, 8270, 4674, 7771, 8529, 2188, 7843, 8010, 9089, 2607, 7456, 4525, 3499, 581, 6151, 9497, 2326, 4636, 5230, 8584, 3025, 7331, 2996, 7039, 4659, 7903, 1664, 213, 3301, 2917, 6669, 8620, 6741, 9547, 3104, 9028, 5547, 1491, 6676, 9181, 5892, 1590, 6264, 1025, 186, 814, 1520, 29, 4725, 7429, 3892, 7411, 8474, 3899, 3773, 5688, 5365, 4252, 9804, 3441, 1512, 6797, 6361, 7585, 5701, 1255, 1268, 3569, 9678, 3163, 4627, 6245, 9308, 5890, 3368, 2834, 448, 459, 7502, 6711, 9098, 8517, 4316, 4008, 6780, 644, 1718, 7593, 447, 9865, 7011, 8982, 7777, 4312, 9332, 3222, 9197, 3242, 6319, 8305, 5521, 788, 5801, 5402, 2706, 4271, 4549, 382, 8434, 1227, 5984, 4411, 107, 4708, 5368, 1405, 1017, 2356, 671, 6865, 8773, 4413, 6174, 1115, 4140, 7137, 4694, 7433, 6918, 3987, 9249, 6562, 2008, 9530, 3384, 3926, 1673, 5932, 6066, 8624, 2406, 7478, 3701, 1174, 6014, 5430, 5397, 9705, 6232, 9350, 1920, 5781, 2091, 9584, 7109, 3180, 6173, 204, 3705, 4290, 9076, 8750, 5140, 6179, 1136, 2647, 5058, 764, 5491, 5806, 7669, 4209, 318, 154, 1413, 2576, 2707, 2595, 2139, 6127, 1191, 7475, 9424, 7270, 3660, 7942, 7849, 4918, 8084, 8708, 7496, 2726, 8836, 3766, 316, 1685, 1777, 3246, 1084, 4390, 3843, 7519, 9237, 4232, 7711, 8026, 5048, 8646, 1828, 831, 4497, 9929, 6825, 3647, 7816, 4031, 415, 5519, 1527, 4790, 6205, 692, 4876, 9924, 4967, 4307, 9042, 7430, 7064, 9952, 5381, 991, 2743, 3388, 5137, 8730, 1073, 5958, 7163, 3886, 2787, 8885, 8296, 3560, 230, 1044, 8507, 9781, 3105, 3020, 9059, 4989, 2548, 4446, 6623, 633, 8975, 1437, 5086, 9824, 5886, 1880, 7570, 2704, 3354, 9313, 574, 196, 4508, 4449, 6996, 8048, 317, 7594, 8167, 3415, 9291, 2174, 4011, 8591, 246, 7737, 7480, 4330, 3416, 4683, 202, 4991, 5584, 3776, 4994, 8582, 8552, 5499, 6094, 665, 5845, 1751, 1141, 5307, 3753, 635, 8360, 354, 3117, 7216, 9556, 9057, 3327, 6893, 7459, 1993, 8619, 9041, 8214, 709, 8130, 4538, 2832, 5333, 2282, 8423, 6671, 3675, 8220, 7520, 3240, 4803, 1219, 3085, 7333, 6477, 5971, 9964, 4564, 2047, 5255, 2361, 7244, 7817, 3669, 6413, 1040, 2438, 7073, 5123, 1189, 7047, 1240, 4392, 4223, 2337, 1321, 4480, 321, 6751, 2862, 5565, 8738, 9703, 5615, 7522, 6104, 4284, 5324, 1725, 6850, 6005, 6486, 101, 1006, 7756, 3591, 8846, 5585, 1719, 4371, 399, 9983, 9607, 8041, 6626, 4740, 3565, 2725, 5997, 3269, 385, 7381, 3719, 7623, 6892, 1536, 5555, 1954, 7897, 4572, 7567, 939, 8930, 9876, 8902, 6284, 9420, 3193, 6223, 9374, 6054, 8256, 8030, 6261, 2172, 8354, 2633, 8985, 6496, 3677, 5627, 1672, 7283, 4292, 3816, 2512, 4578, 7779, 1888, 1294, 5696, 7267, 7670, 8294, 2344, 8246, 8991, 137, 1122, 9382, 5674, 3018, 5978, 4170, 9251, 7420, 1854, 6059, 4245, 9320, 7464, 3573, 9287, 4936, 620, 9200, 9744, 7772, 1204, 1239, 2149, 3868, 9529, 9276, 7577, 1988, 1928, 4464, 1185, 3413, 4668, 3839, 9574, 5508, 8604, 2852, 5014, 7299, 362, 1257, 942, 3097, 8347, 3271, 4512, 7152, 5906, 2895, 1484, 6362, 3760, 5729, 2564, 7839, 6036, 1917, 7485, 3385, 9223, 168, 3099, 8532, 8249, 6738, 9203, 9403, 882, 7560, 9811, 2362, 3658, 5877, 9904, 7133, 5903, 7423, 1382, 5920, 8278, 9908, 7099, 616, 5679, 6627, 3648, 7591, 6758, 4688, 7703, 5898, 8488, 918, 228, 482, 2227, 4717, 3511, 1686, 7453, 3026, 9467, 8920, 3157, 2610, 6898, 6077, 4820, 4857, 7295, 4266, 1627, 1207, 4775, 1970, 4004, 4017, 1422, 3763, 8611, 3214, 3857, 7419, 559, 8519, 7558, 2225, 9183, 9452, 3858, 9488, 291, 7755, 6994, 1937, 7837, 9681, 4681, 6632, 7100, 8483, 2769, 7046, 2493, 4737, 5582, 9803, 5267, 2332, 3364, 1234, 8880, 3448, 1015, 9859, 9706, 8029, 7578, 5634, 5441, 9693, 4211, 558, 9248, 3228, 4051, 138, 3840, 3034, 4615, 4663, 488, 1138, 8741, 1303, 2538, 1065, 5936, 2051, 6982, 489, 7744, 6326, 2112, 9267, 1324, 6680, 3344, 2021, 1333, 738, 6923, 6878, 7117, 9215, 2671, 8335, 5394, 5312, 9606, 377, 4384, 1171, 6556, 4359, 9812, 767, 4963, 8171, 7189, 4204, 2437, 5055, 2162, 2092, 8910, 1567, 8626, 2250, 1101, 2947, 5885, 9170, 6097, 2019, 8731, 4768, 6796, 6068, 781, 9016, 6668, 2464, 7708, 7452, 2238, 6441, 6430, 7038, 8115, 128, 7049, 6746, 9991, 2465, 539, 896, 6, 2912, 7563, 5099, 551, 7555, 4735, 9390, 8301, 3397, 2165, 1363, 1873, 5490, 9778, 9673, 5179, 3635, 3984, 7738, 3449, 7192, 9100, 8770, 9670, 8163, 8829, 7562, 685, 2914, 3076, 4265, 3835, 4613, 5922, 7116, 3390, 1510, 3339, 7735, 3445, 5530, 2650, 3159, 8425, 4590, 8871, 8064, 7147, 2567, 4333, 6306, 9049, 7841, 5438, 8827, 5091, 8207, 773, 5288, 360, 3893, 8631, 1426, 1427, 6282, 943, 57, 1677, 8221, 9393, 5084, 5304, 3343, 9131, 4162, 4714, 1823, 7595, 9800, 2623, 1541, 7251, 5952, 6716, 771, 8334, 8395, 2339, 1517, 7655, 6046, 5375, 9633, 7565, 7621, 4957, 789, 5455, 8355, 8119, 3079, 5037, 5398, 4260, 7574, 7699, 7867, 5722, 3643, 407, 4929, 7273, 5347, 6406, 5511, 3412, 8795, 5727, 6125, 3772, 8654, 4992, 9657, 8200, 6345, 9339, 5373, 9082, 460, 4585, 9454, 5095, 50, 4837, 5874, 3575, 2694, 3563, 4145, 4734, 3599, 1081, 4177, 5905, 3062, 6348, 7376, 277, 2319, 87, 8284, 2941, 1807, 76, 4317, 2717, 6936, 4451, 6813, 5338, 2216, 13, 6971, 1083, 305, 6806, 1175, 5510, 3649, 6903, 1153, 5823, 8802, 2131, 7287, 2317, 837, 5504, 3629, 6826, 8565, 5736, 5305, 1893, 5748, 45, 9097, 4856, 2849, 3932, 7477, 6446, 1986, 4040, 9683, 5291, 7814, 3955, 9944, 719, 1020, 9093, 3372, 894, 7930, 6064, 4486, 5043, 6883, 18, 5695, 7405, 4892, 8977, 3794, 4150, 2375, 6582, 7171, 1154, 80, 1554, 6954, 5945, 7488, 418, 718, 6977, 1783, 108, 6508, 9344, 7348, 3254, 1727, 9580, 1104, 3019, 4469, 2840, 8739, 7663, 711, 3812, 2348, 7656, 915, 6067, 336, 7630, 1753, 5024, 2617, 8514, 1907, 3456, 8744, 2615, 2184, 1118, 1904, 8791, 7057, 6867, 8052, 1452, 5360, 4280, 9, 6760, 2765, 4087, 8816, 3295, 930, 4012, 6391, 2782, 7547, 5015, 4842, 140, 9152, 7886, 6979, 1974, 519, 311, 6580, 5619, 4958, 5664, 778, 1896, 5493, 5837, 5143, 6435, 7434, 3708, 4501, 3727, 4742, 6875, 7830, 9938, 8311, 6167, 9292, 578, 4119, 5176, 9621, 9934, 9150, 8538, 6148, 4074, 8537, 5677, 1447, 3881, 916, 8934, 3012, 7644, 2229, 1652, 3695, 8406, 3882, 7810, 9275, 9771, 6111, 8087, 2751, 5757, 1563, 9821, 3786, 4458, 3141, 748, 9072, 6480, 2466, 4748, 7355, 6530, 5566, 2923, 2874, 6074, 6701, 904, 763, 3960, 2766, 4861, 193, 2449, 8085, 9643, 6690, 4925, 5314, 5654, 1985, 8892, 8749, 5567, 3525, 673, 3721, 9409, 772, 3807, 5643, 4356, 8821, 810, 3267, 1162, 6925, 4999, 6311, 165, 621, 4954, 6328, 341, 1849, 8427, 850, 486, 9025, 9856, 5087, 7114, 3149, 6991, 3982, 4229, 9365, 853, 705, 3765, 3646, 8893, 8283, 7633, 8505, 5469, 706, 6559, 8658, 8353, 2213, 7587, 5827, 9470, 3484, 2178, 2273, 4955, 6861, 8850, 6260, 2024, 6485, 5198, 8769, 679, 1483, 9434, 9265, 2843, 7139, 952, 898, 3069, 6408, 3463, 4161, 3299, 4641, 4210, 9511, 8504, 3491, 7740, 7188, 1392, 3585, 5500, 8592, 1047, 1623, 9225, 1835, 2712, 4341, 7272, 911, 6847, 8466, 9902, 4778, 7191, 8014, 5440, 1816, 7332, 1067, 5268, 734, 3152, 5866, 688, 7277, 2007, 7458, 3405, 2256, 34, 3505, 3102, 7988, 3698, 98, 7068, 1703, 4217, 7170, 2669, 4945, 4899, 9448, 9598, 6004, 783, 9207, 1473, 158, 6087, 3318, 9713, 219, 5243, 2909, 6433, 4416, 4128, 6381, 8394, 2043, 7228, 1609, 3297, 8793, 300, 3914, 9054, 9737, 5773, 2321, 920, 9769, 9822, 163, 2242, 7274, 499, 9666, 1291, 2942, 3788, 5882, 4138, 172, 2454, 7836, 3125, 3427, 8958, 1852, 3609, 2333, 7468, 3544, 5921, 3008, 7248, 5965, 3068, 7342, 2247, 3, 9696, 1877, 9121, 6373, 6401, 8405, 7239, 4230, 631, 528, 54, 919, 3958, 6476, 6963, 6298, 2682, 2965, 3241, 4248, 6834, 3189, 7991, 2029, 6769, 4142, 8430, 7914, 5856, 3437, 7378, 1921, 6914, 758, 4520, 4802, 6374, 8765, 6525, 5293, 9816, 9375, 4623, 3666, 3684, 9602, 1271, 7306, 6250, 5495, 9199, 9925, 8936, 6193, 5341, 1042, 6924, 7790, 1765, 4275, 3755, 2847, 4706, 2104, 9961, 3983, 314, 1451, 5744, 4743, 2727, 8328, 6871, 1547, 6920, 8616, 6845, 5372, 8689, 1001, 3515, 376, 9726, 4009, 4756, 4431, 327, 6008, 1881, 3363, 1410, 7673, 7052, 3714, 8858, 6921, 518, 2824, 8630, 5424, 4517, 8379, 1861, 4851, 3474, 7199, 436, 4085, 5628, 6686, 4922, 2930, 159, 9813, 9009, 1989, 265, 2127, 3170, 5706, 3818, 5400, 5737, 2540, 3307, 681, 9808, 1425, 3341, 7372, 5215, 7799, 4425, 1063, 7686, 1050, 6183, 9405, 130, 4791, 3064, 9552, 3908, 3564, 4048, 6315, 5794, 41, 8895, 5602, 6642, 3603, 6998, 6491, 9498, 8914, 2816, 5528, 7352, 3467, 351, 5577, 5466, 3988, 1028, 9846, 7986, 5791, 8572, 2678, 8748, 5735, 1843, 5210, 3819, 3162, 9222, 1152, 727, 1165, 8432, 4589, 4376, 1592, 4550, 9638, 1944, 9104, 2779, 4544, 6975, 9835, 7963, 53, 2928, 6236, 2853, 2303, 6600, 7714, 5959, 2080, 3683, 9969, 9474, 531, 5345, 7371, 5957, 7689, 8555, 2810, 6249, 4000, 4344, 7178, 4973, 3325, 8622, 17, 9886, 7050, 5422, 4072, 4381, 2641, 5853, 6533, 7924, 7778, 9035, 983, 4259, 1160, 7512, 8198, 2971, 9436, 9637, 5613, 4262, 974, 1889, 967, 9202, 7949, 9353, 2636, 37, 7812, 9597, 746, 6497, 4339, 8535, 5463, 8252, 2697, 8754, 7407, 4257, 6694, 5458, 2287, 899, 6314, 6628, 8848, 5831, 941, 7856, 9314, 9371, 1402, 8287, 3533, 3276, 487, 3796, 6195, 3554, 9149, 4750, 1059, 4781, 6464, 4941, 638, 7367, 997, 5306, 5636, 9425, 9933, 8947, 5296, 768, 2533, 3171, 9233, 312, 9888, 1651, 2161, 8441, 6378, 2915, 3530, 5041, 674, 1764, 2300, 9366, 4037, 1289, 7752, 3707, 8707, 8663, 588, 6897, 8157, 8526, 5141, 8403, 5348, 6611, 1003, 537, 5115, 794, 2182, 2913, 413, 404, 4430, 3798, 4917, 1588, 5196, 8545, 1230, 4406, 9682, 2354, 9596, 9490, 1032, 2870, 5649, 8281, 7309, 9861, 1795, 3300, 449, 5379, 3829, 3439, 8573, 6589, 8859, 9521, 2474, 2651, 1949, 554, 7945, 6930, 6421, 5246, 9577, 3779, 4848, 7677, 8260, 5367, 5839, 4971, 8950, 8796, 7340, 5912, 1782, 1075, 9080, 3022, 9151, 8599, 3747, 5103, 9590, 8935, 7090, 838, 4169, 5253, 5941, 411, 5259, 2422, 2837, 5487, 1796, 4295, 3555, 909, 8588, 6755, 146, 1140, 9603, 1384, 6744, 613, 8069, 6200, 5726, 8686, 6684, 6325, 1100, 1767, 9654, 5377, 2560, 4225, 8013, 2366, 9836, 7898, 7615, 8955, 7006, 2988, 5289, 2575, 6447, 8233, 4049, 2762, 9447, 1565, 3446, 6895, 8647, 948, 7954, 8742, 538, 2065, 827, 7422, 7380, 3095, 5573, 7959, 4592, 1538, 8088, 2709, 5405, 6633, 3100, 214, 6474, 5128, 4825, 371, 4844, 4780, 1514, 7208, 3190, 9453, 9087, 7671, 6928, 7975, 4763, 3620, 1659, 6022, 7858, 663, 7983, 1077, 6911, 2621, 7213, 2254, 9709, 5399, 9068, 1403, 1012, 3532, 3161, 7418, 7023, 3203, 3000, 1328, 1220, 4427, 3143, 4649, 7307, 7535, 677, 8824, 7722, 2432, 8772, 5064, 9141, 981, 7318, 5009, 5177, 3799, 1747, 3938, 6840, 7198, 2584, 3218, 3846, 1595, 4834, 6543, 1045, 147, 5428, 5891, 5908, 3501, 8438, 9710, 1194, 8962, 2644, 6141, 7078, 4159, 7020, 8965, 290, 8289, 3387, 6383, 961, 2120, 3200, 4030, 5546, 5563, 625, 1537, 4448, 7074, 2755, 3865, 7785, 9259, 1442, 6137, 8786, 3184, 5432, 6155, 3994, 199, 868, 4932, 9191, 6889, 875, 787, 2436, 7211, 2076, 4365, 4109, 1867, 643, 5224, 6080, 4801, 4514, 7941, 5541, 7493, 650, 9955, 2083, 6890, 1285, 9882, 3856, 8711, 541, 1187, 2320, 1770, 2680, 3455, 5320, 2890, 2491, 2806, 3703, 8862, 9797, 2516, 8876, 6450, 206, 1580, 2622, 8266, 2205, 6509, 901, 752, 6276, 2497, 6246, 4195, 5282, 4036, 3553, 5784, 9560, 429, 5250, 166, 8612, 1054, 3746, 3672, 6775, 9897, 2638, 6270, 3221, 1820, 6952, 2992, 4347, 2135, 7212, 4035, 9923, 1305, 8388, 2943, 6267, 1818, 632, 5506, 2518, 3913, 297, 1205, 3642, 6300, 1846, 2033, 7831, 7910, 2402, 7150, 6117, 5665, 8919, 2714, 7802, 2281, 5473, 5391, 1126, 6105, 9827, 8498, 4488, 9910, 2144, 4721, 4240, 1518, 2456, 5052, 2578, 3217, 6027, 9760, 564, 880, 1357, 6471, 2573, 7076, 6322, 3147, 9263, 8542, 3850, 2107, 1581, 4575, 7997, 8033, 5741, 7379, 8516, 6573, 5927, 2128, 2347, 9593, 9066, 3860, 4937, 1156, 2061, 6524, 2408, 5299, 7383, 7636, 1330, 255, 4039, 1905, 7357, 3940, 3847, 3558, 4302, 5749, 2597, 1164, 491, 2501, 8362, 8489, 1759, 3524, 8949, 5042, 2936, 79, 9005, 8546, 5366, 8134, 6726, 7396, 7349, 713, 7412, 5287, 6934, 5855, 32, 4828, 4573, 8645, 4081, 1147, 4136, 7062, 5888, 1000, 67, 8429, 6961, 5863, 5756, 7863, 5840, 7961, 405, 7166, 6968, 8511, 6832, 5045, 1231, 8208, 2590, 4916, 4751, 2488, 3116, 5457, 9972, 7862, 4599, 2781, 2754, 2654, 5335, 1557, 3800, 7437, 1387, 6927, 2119, 6974, 9823, 113, 1209, 960, 3166, 4682, 9652, 6163, 5193, 1704, 6712, 1472, 3770, 9247, 1939, 3209, 2085, 7415, 1076, 3644, 8065, 2790, 9963, 8931, 1614, 3691, 6448, 4010, 4220, 1317, 7310, 6415, 5539, 3202, 1744, 8610, 4151, 9919, 2298, 9083, 2676, 7664, 5011, 2592, 2025, 207, 6133, 1982, 4135, 5102, 9698, 8057, 2020, 5684, 2093, 3073, 1306, 6299, 9557, 2152, 9852, 3767, 7390, 6935, 5460, 7351, 2310, 1432, 5662, 7869, 5026, 3762, 9496, 7236, 6265, 3350, 8924, 1013, 7031, 1135, 4638, 9510, 8839, 5429, 1992, 4421, 6488, 1847, 8601, 1216, 1709, 6947, 8868, 7632, 2910, 2711, 8510, 3395, 6062, 7736, 8446, 2284, 2635, 7676, 6370, 8587, 1809, 5272, 8613, 7156, 2552, 8854, 4621, 4027, 2315, 7825, 6909, 173, 6182, 5386, 5065, 7791, 6107, 6548, 7410, 9218, 343, 7697, 7056, 8, 9526, 3290, 7234, 2143, 3338, 5252, 4297, 6718, 8231, 7734, 826, 2084, 9111, 8882, 4785, 3331, 1069, 658, 6653, 3312, 7808, 7822, 6072, 9651, 6902, 7054, 7263, 7400, 4415, 4939, 6793, 9506, 9186, 1813, 4385, 3188, 6029, 3317, 2202, 6851, 1250, 60, 6336, 5954, 3279, 5001, 9531, 886, 4895, 7476, 7878, 8259, 1706, 1693, 4983, 4199, 1409, 728, 8384, 4814, 3977, 9921, 3108, 2394, 492, 6731, 9126, 3172, 9245, 5686, 9115, 5533, 9572, 6972, 4617, 2401, 969, 5122, 572, 4684, 1909, 8060, 9243, 2042, 115, 5771, 6304, 7853, 6852, 5969, 684, 2963, 1808, 4111, 9359, 8805, 4845, 110, 2134, 9047, 4640, 5523, 7174, 986, 3472, 2063, 4746, 5990, 8928, 6816, 6949, 9342, 1359, 8794, 340, 3021, 8293, 1379, 3488, 9306, 3071, 8345, 1048, 6399, 8506, 279, 8927, 798, 9940, 4496, 6165, 6957, 1658, 3006, 4053, 9834, 4872, 7118, 5650, 5132, 8789, 3389, 7989, 1282, 4964, 9316, 7917, 2959, 7552, 95, 6349, 9668, 4795, 4183, 5579, 6596, 4566, 5018, 3310, 5995, 5572, 5261, 7912, 4771, 3823, 1099, 8210, 902, 7611, 9402, 8172, 9011, 1883, 3978, 7146, 4038, 363, 3378, 9044, 6425, 3568, 2097, 2290, 5072, 7217, 5675, 2801, 7219, 3702, 7678, 4498, 22, 1007, 2069, 4948, 9208, 6839, 9965, 8185, 7503, 3600, 3924, 7297, 3900, 4288, 8070, 3927, 9837, 7125, 1589, 5082, 3201, 3783, 4862, 822, 6296, 8225, 9776, 4516, 6993, 1561, 9780, 2974, 1415, 7687, 2388, 1072, 5803, 8940, 6528, 9742, 8215, 5392, 9741, 2688, 2071, 2365, 4015, 8204, 2194, 651, 6493, 3883, 689, 88, 8145, 6091, 1947, 4860, 3382, 3335, 9627, 7343, 5607, 485, 6948, 78, 9192, 6749, 1201, 1695, 4642, 6109, 5056, 6439, 1857, 5094, 5549, 7641, 9227, 2593, 3086, 7667, 6146, 8009, 7014, 1092, 7102, 5964, 8761, 8079, 3402, 4459, 3692, 1439, 1680, 5362, 8028, 3187, 332, 4952, 4902, 2898, 4434, 9398, 8034, 5322, 9379, 5711, 5479, 3500, 4630, 6822, 3654, 7666, 9355, 4193, 7242, 9656, 8615, 4499, 7075, 40, 7513, 5313, 2559, 7548, 5142, 4367, 8076, 8302, 3808, 5947, 5832, 4244, 2390, 5808, 6646, 7540, 4752, 6683, 1117, 7743, 3038, 2378, 3047, 8939, 1829, 2645, 879, 5807, 7462, 9164, 6063, 765, 9426, 563, 5728, 7059, 4233, 4202, 8523, 2467, 2598, 6290, 2279, 1558, 821, 9845, 81, 8123, 103, 6409, 5364, 3909, 7584, 8114, 2960, 3743, 2663, 6585, 7260, 9518, 508, 7818, 6728, 862, 4631, 3717, 2446, 7833, 1481, 3754, 8139, 3561, 8527, 5340, 7855, 2813, 6256, 1137, 5667, 2183, 6085, 3430, 8567, 1455, 2062, 8728, 5948, 3185, 8309, 3302, 6389, 6307, 7753, 6884, 2297, 4481, 3137, 7238, 7362, 1599, 7868, 5152, 5419, 8966, 5503, 7447, 1130, 1206, 8472, 5131, 8092, 1159, 2367, 3082, 2864, 1212, 6000, 5618, 9736, 6478, 5295, 8822, 7990, 9463, 6506, 5471, 9349, 7768, 8164, 3639, 7507, 5378, 3465, 3890, 3713, 7727, 7182, 7105, 8913, 7264, 535, 9830, 907, 5265, 1943, 3724, 5191, 1890, 3981, 6647, 1624, 699, 221, 5167, 4484, 5780, 3804, 2371, 1029, 1226, 648, 9198, 863, 3855, 8175, 6051, 233, 6305, 9545, 4126, 9620, 761, 8551, 4776, 6656, 1710, 7404, 6228, 5640, 3795, 3220, 280, 2939, 1395, 2800, 6393, 9953, 6584, 7195, 6089, 6608, 5707, 6271, 9138, 8129, 6603, 4543, 9996, 1401, 4921, 3081, 4707, 2487, 9920, 1364, 1545, 3407, 5280, 2724, 7465, 5395, 9337, 2105, 9334, 1361, 7356, 5480, 8135, 1726, 9648, 2630, 4438, 7470, 3067, 9548, 704, 3360, 5135, 194, 6017, 7354, 3849, 2235, 8894, 364, 1192, 6710, 1789, 14, 3173, 9212, 6659, 240, 1919, 6052, 5337, 6211, 7951, 832, 3424, 4633, 8222, 259, 2249, 4540, 5532, 6912, 3425, 6224, 6901, 7651, 7165, 6800, 970, 2016, 5517, 4184, 1155, 690, 1347, 2185, 7691, 5813, 6590, 610, 2469, 1374, 7534, 8166, 9956, 1493, 802, 4212, 9491, 5979, 4833, 2903, 8275, 8583, 3231, 6184, 3050, 2218, 5713, 6191, 6512, 3581, 6549, 6558, 755, 2656, 5415, 1340, 6076, 4811, 2954, 9039, 2879, 7947, 7173, 5931, 5629, 4632, 8575, 6540, 105, 6622, 8570, 5873, 9244, 8608, 7042, 8414, 1872, 3247, 7763, 3027, 589, 4588, 8197, 6652, 7971, 8759, 4901, 1350, 7631, 6075, 5022, 7906, 2423, 3845, 7304, 7071, 2803, 804, 9984, 9947, 9851, 600, 3985, 9825, 1263, 8179, 2875, 3549, 6700, 2393, 8155, 1178, 4995, 5423, 8660, 8392, 9533, 7092, 9730, 104, 2190, 3619, 3633, 3024, 2230, 5111, 2148, 1341, 9238, 8635, 7201, 175, 3051, 8603, 5105, 8174, 7742, 5568, 4080, 4793, 7013, 2420, 1024, 6222, 4883, 6411, 7083, 6727, 4164, 5080, 8318, 5054, 3948, 3229, 4624, 3803, 3656, 3923, 5, 1398, 8325, 2283, 9410, 5926, 579, 3058, 7442, 5262, 9051, 8904, 7953, 7129, 2604, 16, 3943, 9231, 6689, 2222, 211, 4896, 2634, 5155, 5049, 1534, 1238, 8830, 2881, 2566, 4927, 5557, 2179, 5621, 8471, 4380, 4900, 388, 323, 4096, 9555, 750, 5834, 6501, 891, 3618, 8776, 381, 5302, 4338, 3529, 2867, 1701, 656, 6095, 3996, 9779, 4722, 243, 8169, 6644, 15, 7657, 8734, 3083, 2719, 3851, 2125, 118, 1556, 3225, 4420, 3730, 8239, 7210, 6386, 8579, 6521, 9092, 881, 592, 9090, 4859, 8433, 5323, 9318, 8948, 7731, 3681, 550, 3503, 1997, 4661, 1738, 7972, 3009, 2173, 6640, 6799, 1376, 3517, 9639, 1449, 5172, 470, 7409, 597, 6152, 7148, 6434, 1639, 9205, 1996, 9562, 477, 641, 6654, 4311, 9589, 6156, 2012, 6138, 7927, 8103, 8453, 9053, 608, 6426, 9981, 6073, 9538, 6110, 5425, 7359, 5093, 7530, 622, 5245, 2594, 6092, 4460, 8047, 9116, 934, 9095, 3005, 9060, 4777, 4772, 1605, 7311, 6913, 8237, 8291, 1831, 988, 710, 6554, 412, 1031, 2293, 800, 7022, 5387, 1728, 5904, 392, 2570, 4611, 7066, 6649, 4281, 1435, 9559, 3435, 8758, 2236, 1734, 9605, 6218, 5989, 2737, 7505, 9914, 7770, 473, 2611, 7536, 1584, 127, 3212, 8093, 1260, 6803, 2196, 4953, 2513, 7004, 5411, 9979, 4419, 5236, 5169, 3557, 9982, 836, 9144, 8168, 5596, 3352, 945, 3751, 3610, 577, 5887, 9378, 503, 9226, 9254, 8917, 8890, 3657, 355, 8329, 4354, 9347, 9877, 5162, 8182, 2199, 1157, 3731, 1575, 9478, 2448, 5929, 4391, 7164, 5330, 9805, 3074, 9377, 1023, 843, 6729, 8673, 4519, 8938, 3393, 4045, 2710, 931, 8900, 2027, 4105, 1172, 4002, 2072, 7627, 338, 8515, 9540, 5714, 7491, 3655, 8853, 4685, 8503, 9435, 4327, 9909, 8832, 7269, 6863, 6973, 3951, 1190, 2587, 4509, 1278, 5370, 1296, 3894, 252, 1277, 9659, 1742, 8705, 5310, 8475, 9413, 9206, 4100, 9194, 2132, 3604, 3111, 5857, 8597, 203, 4928, 9317, 5847, 1729, 3785, 8981, 9246, 2410, 5689, 6257, 9733, 3434, 3243, 9719, 2887, 8153, 8024, 2117, 7625, 7918, 5560, 3303, 6638, 2696, 9868, 1055, 4261, 7710, 2067, 3571, 9727, 5859, 8745, 1913, 8156, 1692, 368, 2720, 5663, 678, 3784, 3606, 5164, 1978, 9880, 3226, 7892, 5598, 5472, 4695, 2386, 3452, 402, 4551, 4733, 7215, 8883, 3423, 1223, 791, 8468, 9664, 3264, 9901, 3686, 4462, 9714, 7832, 7603, 6610, 1090, 2975, 9412, 9074, 7614, 2841, 7167, 1283, 928, 4886, 8988, 1070, 2017, 6280, 5134, 687, 6507, 9272, 6268, 657, 8494, 6828, 1976, 2987, 7162, 1026, 8350, 6176, 585, 9509, 2822, 2269, 6984, 3120, 2330, 3956, 4382, 5008, 4121, 914, 1266, 824, 573, 6418, 8813, 3319, 917, 8058, 5216, 9338, 2753, 2415, 1390, 215, 6664, 9514, 557, 3693, 5031, 5703, 9864, 8142, 4881, 6874, 3918, 6291, 2612, 6841, 8418]