[ [ 782, 1055, 7740, 8227, 1842, 4901, 7826, 8754, 5660, 3173, 5545, 9688, 3817, 3530, 7923, 4987, 5904, 6397, 690, 9667, 294, 2602, 2182, 4499, 1444, 8811, 8098, 9794, 2382, 3691, 7856, 1940, 9773, 8156, 8869, 6819, 4682, 7140, 1868, 3819, 2331, 2238, 3125, 4972, 4052, 798, 1196, 1853, 9479, 230, 6950, 7454, 6821, 8427, 26, 9344, 2341, 9040, 5192, 9644, 5590, 6820, 6308, 3770, 7133, 7066, 3546, 4641, 5431, 8314, 8358, 5809, 1346, 7631, 790, 4478, 2867, 3316, 8385, 9830, 3128, 3790, 7736, 2011, 4503, 1546, 447, 8790, 7581, 5666, 4629, 2415, 2022, 7143, 5642, 7495, 6836, 3382, 7554, 9136, 9605, 7039, 7381, 3571, 3531, 4243, 7654, 5664, 6989, 4007, 6036, 524, 9718, 5606, 5547, 530, 4924, 2977, 7491, 1816, 6851, 3098, 5956, 3624, 6955, 89, 9871, 1194, 4516, 116, 3200, 9617, 1472, 4806, 8417, 2107, 2744, 3867, 3909, 6568, 5440, 8920, 2370, 6586, 9924, 6676, 477, 5637, 1064, 2845, 9834, 5154, 5328, 293, 6361, 4930, 6391, 7327, 2455, 1415, 6465, 3935, 9062, 2449, 5733, 5452, 7201, 3703, 2632, 6510, 8446, 3711, 8207, 5202, 444, 4448, 4564, 9297, 4979, 1145, 6525, 9635, 7065, 5401, 730, 8287, 7781, 3113, 4751, 488, 6978, 215, 2511, 9750, 150, 9428, 6304, 7530, 788, 2345, 7326, 2468, 8485, 1936, 657, 1583, 7351, 2087, 237, 1229, 5194, 4317, 3773, 1767, 3122, 4079, 6461, 7962, 3458, 5553, 5475, 3133, 9735, 3129, 8231, 7150, 4733, 6552, 4829, 9495, 8756, 1682, 4308, 4460, 2094, 3296, 9771, 5958, 819, 5171, 4138, 8521, 9027, 6615, 7589, 5047, 2399, 8699, 8387, 5862, 3990, 8600, 6136, 3684, 1255, 2633, 4462, 9396, 423, 3273, 5636, 3260, 9148, 5770, 9370, 9949, 3101, 1212, 3247, 7260, 9558, 3547, 2205, 3062, 785, 5561, 5689, 8838, 4343, 8548, 9197, 7018, 7731, 8701, 5064, 8909, 6596, 1988, 4997, 3336, 6916, 2818, 5805, 6526, 6517, 3521, 9816, 1967, 5791, 8237, 7874, 7529, 6400, 3568, 5466, 381, 2088, 2012, 4339, 1111, 3157, 96, 4280, 8305, 6476, 4128, 5099, 6360, 5939, 110, 1158, 7825, 7318, 4467, 5589, 8794, 6162, 5866, 3172, 5342, 7728, 2521, 5265, 3639, 9035, 3493, 6709, 7643, 6749, 6599, 8862, 2424, 8599, 6996, 4864, 8205, 2224, 9069, 5287, 927, 6412, 1404, 4388, 314, 9443, 9968, 4958, 8587, 5051, 6982, 2092, 8876, 6206, 4667, 1906, 244, 9149, 9386, 5597, 4809, 7240, 9451, 1485, 9734, 2814, 9529, 8642, 5592, 5226, 2579, 7767, 2677, 7506, 2791, 3681, 9076, 5261, 2175, 9959, 341, 5804, 6081, 7233, 9909, 4948, 2485, 1943, 6969, 1738, 6150, 8776, 4377, 6907, 7142, 3115, 8714, 7132, 7956, 7074, 588, 6283, 8369, 3497, 3485, 5195, 5074, 3387, 3267, 9327, 7998, 4201, 3088, 4428, 3487, 8932, 261, 3562, 81, 7830, 9045, 3044, 1397, 9780, 2648, 4225, 4104, 2234, 2554, 9625, 3580, 6114, 313, 4381, 4041, 3210, 2949, 9156, 7424, 4540, 794, 9164, 8453, 1394, 6931, 9520, 6867, 1279, 3234, 5936, 1090, 9236, 5918, 764, 1067, 8809, 1155, 5826, 8129, 6257, 5793, 9586, 5429, 2501, 376, 1797, 2965, 4547, 4175, 993, 154, 247, 7296, 86, 9608, 3414, 7896, 7645, 414, 1061, 7162, 1234, 5765, 511, 5010, 7508, 4108, 4050, 4064, 909, 853, 5023, 144, 6766, 4122, 2548, 9057, 5680, 2592, 5344, 4794, 2699, 7697, 4304, 3310, 1895, 7181, 1269, 5981, 5827, 6414, 1451, 6769, 8574, 2956, 8094, 6767, 2471, 1405, 5762, 2876, 7293, 3359, 2954, 2727, 4127, 2659, 9268, 7467, 4555, 5520, 7769, 4420, 6091, 4984, 6068, 3043, 7013, 5435, 2440, 1027, 1124, 3950, 8704, 9196, 3000, 8258, 5604, 2436, 2330, 3812, 3014, 603, 7934, 9674, 6055, 9673, 8317, 9711, 7632, 1995, 2207, 7391, 4708, 8941, 5416, 5334, 5062, 8560, 4921, 905, 6685, 3594, 426, 8273, 8902, 1974, 2122, 775, 3183, 4859, 2392, 8311, 6431, 9308, 2174, 8058, 4375, 5882, 97, 2257, 5746, 5634, 2195, 1814, 8479, 6045, 3657, 2466, 196, 598, 2275, 675, 3789, 4430, 7222, 2008, 5977, 9993, 7553, 9825, 1201, 1413, 4076, 6188, 2653, 1247, 6514, 464, 2036, 5468, 9793, 8851, 1150, 351, 505, 42, 5586, 9220, 2056, 6451, 7614, 6230, 4604, 9946, 4432, 9814, 3383, 975, 9450, 1190, 4706, 8785, 2705, 114, 6972, 9039, 2701, 9085, 8825, 8747, 9489, 6372, 7304, 8707, 2854, 602, 9523, 9515, 4639, 1915, 2621, 5389, 4013, 1266, 2309, 5109, 4316, 6496, 1318, 1870, 6247, 2634, 8539, 2955, 3996, 7559, 8533, 6834, 1475, 2328, 8248, 5813, 4694, 2619, 7297, 1140, 1121, 9583, 2097, 6589, 2518, 3008, 7683, 6742, 5220, 9731, 3630, 9931, 547, 762, 2750, 8566, 4276, 7324, 9782, 8607, 7185, 9713, 9664, 838, 8261, 1052, 6410, 4507, 7484, 5300, 7995, 9209, 3085, 2494, 3922, 1844, 6493, 3332, 7302, 9951, 7587, 624, 4695, 5884, 795, 105, 184, 3824, 6282, 5461, 636, 9554, 2317, 7639, 3499, 5021, 4198, 5968, 9146, 6672, 3226, 7707, 2412, 4329, 1841, 8090, 2244, 3957, 529, 7720, 7839, 2806, 8204, 1275, 5170, 7362, 1294, 1965, 473, 1758, 6801, 1786, 5910, 8304, 7613, 7036, 8435, 6130, 4541, 9684, 3153, 5240, 1528, 907, 9410, 4985, 185, 4483, 2704, 7127, 5358, 175, 1964, 6401, 6034, 1025, 8517, 5914, 6574, 1908, 9853, 9966, 8067, 5705, 6404, 3376, 1172, 19, 5697, 6225, 2326, 6101, 3138, 7057, 2202, 7218, 4870, 2467, 7194, 2061, 4588, 8846, 5116, 7274, 7748, 1314, 10, 2761, 7146, 8476, 6570, 9128, 4410, 1885, 3736, 3278, 3682, 5236, 9426, 9696, 3585, 8828, 9322, 68, 4687, 4170, 8873, 9421, 9758, 2105, 5951, 3849, 2403, 3367, 3552, 2694, 9476, 848, 8199, 7592, 9349, 2266, 6090, 1188, 5854, 5846, 609, 8015, 7067, 2273, 9649, 634, 3876, 5615, 2304, 7489, 6884, 7210, 1094, 4944, 7009, 60, 9560, 8465, 5070, 6616, 9124, 4477, 3034, 4858, 4640, 9822, 8884, 8053, 9402, 70, 7459, 7689, 914, 3597, 7972, 5661, 3931, 410, 8984, 1039, 1589, 8045, 3551, 4181, 4578, 8334, 9503, 7890, 146, 3741, 5537, 8843, 8890, 3087, 7832, 3236, 5103, 9524, 3252, 7515, 925, 3953, 7164, 4234, 4433, 5118, 5172, 9743, 7716, 1467, 5272, 6928, 1021, 4739, 2312, 1742, 3574, 5605, 262, 3799, 2551, 7674, 2225, 9781, 9947, 4969, 1530, 7928, 1391, 5865, 3526, 6748, 2381, 9150, 9920, 9216, 4664, 176, 2524, 2911, 9789, 5668, 4599, 2232, 7308, 7361, 8283, 4296, 8571, 9360, 2322, 1749, 4325, 2187, 1867, 5151, 7579, 6486, 3778, 8697, 9275, 2913, 1511, 9907, 5469, 2271, 8039, 8493, 2239, 1456, 2251, 5870, 4307, 2912, 4746, 3426, 2963, 21, 7652, 4764, 5609, 5738, 438, 5983, 1148, 8611, 8130, 7655, 6311, 5371, 7722, 1590, 2395, 40, 2197, 1028, 5504, 496, 7732, 1432, 5076, 5970, 1017, 8161, 8585, 7845, 9448, 7940, 1550, 6952, 5722, 5500, 2473, 1644, 5742, 2823, 9687, 2492, 5224, 5065, 2179, 2665, 4622, 5797, 8522, 8814, 7054, 7803, 8576, 298, 1893, 9997, 2173, 5567, 6290, 2974, 8046, 4977, 1672, 1614, 662, 8343, 9796, 8849, 4143, 2434, 22, 8952, 5611, 8980, 1306, 4083, 9894, 6233, 5775, 4802, 2609, 7431, 2992, 6056, 1113, 7501, 4485, 403, 1825, 9422, 989, 6190, 6976, 8081, 3914, 8546, 2673, 8633, 9921, 7255, 9026, 699, 3886, 8035, 3004, 8733, 428, 8787, 3161, 3309, 5992, 4696, 142, 7002, 8216, 4137, 5938, 7385, 6403, 3287, 1514, 9014, 5067, 5620, 5588, 1542, 8111, 9388, 3926, 5558, 7813, 961, 1979, 4813, 6483, 5200, 4681, 6450, 2148, 9403, 9588, 7817, 6203, 3178, 5139, 9044, 4816, 3422, 327, 4800, 8525, 1924, 1093, 6664, 5572, 4878, 8722, 1836, 2349, 6126, 2308, 138, 3312, 5307, 6164, 652, 6971, 8943, 1512, 3353, 9310, 7885, 7894, 8661, 6614, 5714, 7777, 2600, 8109, 5749, 5269, 2549, 336, 6241, 3565, 7204, 2698, 6306, 3271, 812, 9863, 5952, 9990, 7499, 5546, 9034, 865, 6706, 6578, 5216, 9594, 1358, 3613, 8504, 1235, 8770, 3016, 5105, 5338, 1592, 8106, 4591, 5133, 7675, 335, 3434, 3786, 3763, 4711, 7108, 4218, 6128, 7134, 5696, 4574, 5433, 2235, 3572, 4890, 7076, 9384, 9429, 8137, 8872, 1752, 7049, 4975, 4642, 6852, 9444, 7345, 9774, 7935, 2724, 1282, 7804, 3029, 3416, 6843, 8981, 5438, 1300, 8379, 3642, 6979, 5540, 7594, 717, 12, 7620, 9683, 9047, 8960, 761, 4517, 4960, 2151, 4819, 6793, 6295, 8617, 1010, 2953, 5702, 5976, 5152, 4653, 911, 7427, 5554, 8921, 9807, 5140, 3543, 1063, 3073, 791, 5895, 2499, 4688, 5855, 5219, 3112, 1243, 2137, 8302, 7071, 4661, 2231, 1363, 3628, 9792, 4770, 9720, 7114, 3875, 6910, 3697, 4414, 9577, 574, 3223, 9623, 663, 388, 2214, 3888, 2580, 8927, 8030, 737, 3047, 3032, 892, 3537, 3280, 1127, 8939, 594, 2065, 9621, 5037, 6280, 6482, 6579, 2555, 8180, 5800, 4651, 455, 7332, 2483, 2459, 1674, 8659, 3103, 263, 7708, 9866, 5480, 7003, 9756, 362, 2567, 6809, 8481, 1619, 3828, 2596, 9233, 2115, 2414, 7078, 7376, 4817, 4480, 1197, 433, 6417, 9463, 7145, 3559, 8107, 4899, 5471, 213, 2581, 8178, 8423, 4119, 8936, 1116, 9433, 968, 7285, 4801, 7556, 5363, 421, 738, 9280, 6926, 3925, 2138, 7473, 13, 6208, 2540, 7357, 1457, 7879, 9284, 478, 2566, 562, 8537, 7005, 6279, 9502, 5998, 372, 8186, 4320, 8475, 1793, 2514, 4099, 9571, 3024, 9493, 7239, 2355, 5582, 8808, 5803, 3707, 1411, 1418, 3974, 1128, 4094, 9298, 3176, 6207, 2394, 8625, 6534, 6692, 8989, 3590, 5786, 7753, 6224, 669, 7747, 3055, 3342, 1263, 1427, 9769, 4314, 8095, 9662, 4768, 1664, 5920, 566, 7395, 8801, 6825, 2287, 4933, 6375, 1187, 3163, 1133, 3787, 7821, 3560, 922, 4558, 2295, 3455, 3662, 228, 9992, 3131, 5972, 8745, 2740, 2879, 7975, 7604, 1352, 9884, 4620, 5600, 4701, 1884, 938, 4242, 806, 8509, 8789, 3814, 8997, 3999, 8667, 9011, 6309, 8958, 8635, 6937, 6253, 2311, 4919, 2747, 1732, 8240, 5538, 8718, 1453, 536, 2380, 5082, 4185, 2765, 9952, 1603, 9414, 4447, 6759, 7477, 2488, 6835, 7139, 5205, 6781, 7653, 3294, 448, 1289, 9195, 5785, 1994, 7152, 6500, 2181, 1518, 9908, 8, 9317, 6073, 3635, 352, 5880, 829, 4033, 7618, 9609, 9518, 4626, 1996, 8817, 4244, 967, 4071, 4333, 3488, 6845, 2431, 8866, 1613, 8157, 1050, 8197, 3896, 2827, 7034, 9979, 6886, 1430, 2969, 7082, 8338, 2560, 6386, 3084, 5989, 6021, 1706, 611, 6659, 6739, 6699, 8179, 2413, 5579, 3237, 9224, 8985, 445, 7695, 6741, 1214, 7026, 1859, 7016, 5410, 7758, 1274, 5230, 6213, 5252, 1482, 3843, 1048, 9333, 2985, 4967, 9256, 6191, 7425, 6134, 82, 2852, 6078, 678, 6193, 3924, 947, 9775, 92, 6242, 4250, 2465, 2948, 8075, 8868, 8118, 287, 2303, 7943, 1889, 605, 9522, 1709, 9089, 5227, 2284, 8917, 9075, 3724, 3463, 2262, 7409, 649, 4322, 6529, 8297, 3598, 4075, 1624, 4880, 4431, 5225, 3579, 2469, 2631, 4727, 7211, 6897, 7247, 9828, 6572, 9166, 9043, 1258, 9613, 1392, 8703, 6608, 3345, 7535, 9984, 5818, 6860, 992, 9169, 2617, 6582, 4900, 2357, 3673, 232, 5498, 9606, 6229, 1506, 7426, 1412, 1794, 9996, 4315, 2072, 3861, 6173, 8189, 3, 1254, 2044, 5250, 1521, 8840, 6026, 1373, 2960, 4498, 6882, 7156, 781, 5015, 8443, 2160, 4600, 135, 324, 7234, 3865, 5267, 6307, 1077, 6122, 8507, 7742, 7088, 9498, 6216, 9295, 4191, 6548, 2661, 8100, 7876, 2526, 9371, 9666, 7441, 9307, 8114, 1147, 5003, 1580, 4879, 2697, 8899, 8489, 5418, 9892, 2417, 7257, 9538, 2802, 8177, 6364, 6663, 638, 7411, 210, 9740, 2601, 6547, 7249, 1824, 3180, 1110, 1323, 1473, 7693, 3071, 2759, 6038, 3612, 332, 8875, 650, 6592, 6284, 2914, 6987, 8102, 4724, 8339, 2846, 7850, 1835, 942, 991, 3746, 568, 7068, 5912, 9715, 4585, 7364, 4632, 3718, 3077, 1455, 8133, 6232, 9130, 5142, 677, 5735, 5285, 4186, 8013, 1013, 1364, 5372, 2146, 7344, 3788, 3936, 4529, 2373, 2264, 9889, 6228, 7878, 3823, 8720, 187, 5279, 4405, 1313, 4179, 9922, 6462, 66, 7786, 768, 7710, 1298, 368, 1900, 5253, 2383, 3548, 1880, 2123, 1334, 9813, 8159, 2145, 8063, 9171, 9738, 4685, 5869, 5007, 2804, 5155, 2756, 35, 9019, 5732, 2832, 958, 9162, 2365, 4781, 6626, 847, 109, 9030, 7135, 5757, 3913, 9604, 1774, 3456, 6983, 2464, 1971, 6573, 5751, 1220, 4113, 2755, 424, 489, 9694, 5917, 558, 7987, 8428, 8798, 6058, 5573, 7198, 365, 2099, 7783, 8043, 9937, 9366, 8257, 746, 1866, 4334, 3147, 4145, 3761, 2126, 3364, 7625, 2630, 7968, 9530, 7121, 8878, 5760, 1047, 759, 9627, 7275, 7363, 2972, 2905, 2525, 9651, 1168, 2354, 5693, 1244, 8547, 7092, 1852, 9682, 3162, 3033, 3648, 6654, 9500, 4643, 7475, 9364, 5428, 4628, 8848, 6376, 2516, 6511, 4161, 9517, 5860, 4284, 6212, 3111, 6787, 3826, 1311, 1854, 6394, 4825, 1869, 6575, 9527, 2477, 7200, 2042, 4719, 941, 3177, 4130, 508, 5299, 8370, 8986, 1864, 9707, 3651, 4245, 1395, 3452, 7485, 8544, 36, 8436, 3496, 1322, 2543, 9809, 6046, 451, 6156, 1192, 6650, 6805, 5835, 9219, 8815, 4772, 1636, 1167, 7079, 9382, 4928, 2959, 8669, 9475, 5708, 9953, 255, 9989, 7400, 4735, 9488, 8307, 6745, 6108, 6178, 7539, 7407, 5467, 3754, 6720, 377, 3523, 2710, 6480, 9788, 2487, 1082, 4712, 2024, 4204, 1540, 3409, 6079, 1466, 8534, 1112, 1273, 1897, 8819, 5091, 2929 ], [ 7628, 5041, 4663, 7688, 7754, 7090, 7570, 8579, 5009, 2651, 4098, 7061, 6336, 2325, 4180, 3324, 5235, 7760, 9525, 7027, 3206, 2213, 6585, 7006, 3680, 482, 7386, 7276, 924, 3669, 7703, 8416, 4983, 5446, 235, 7627, 2848, 6991, 8460, 9567, 5286, 6519, 1702, 9373, 800, 9325, 615, 2426, 971, 7678, 4713, 1992, 1040, 168, 9073, 9699, 1092, 2074, 8515, 2393, 4283, 3495, 5639, 5856, 9131, 2047, 14, 5726, 6264, 3189, 371, 6984, 6389, 490, 1130, 1253, 8232, 6343, 2962, 8553, 4720, 5053, 7098, 8449, 6540, 5120, 6670, 1287, 194, 7831, 8391, 8242, 3141, 8723, 8135, 8176, 2515, 3423, 5143, 5077, 7422, 519, 2310, 2535, 8930, 3391, 446, 4088, 2559, 198, 1137, 6790, 8950, 7670, 6611, 6773, 1741, 4554, 5454, 5249, 353, 1156, 4475, 9376, 179, 4536, 1141, 8992, 4812, 5560, 5986, 9671, 9716, 4932, 3734, 8844, 6017, 6785, 189, 6689, 4118, 4002, 4249, 8956, 8645, 3813, 4372, 6362, 7378, 3973, 3752, 7790, 9987, 4468, 630, 5422, 6905, 3588, 5511, 5081, 7723, 2500, 9007, 3235, 7780, 6491, 5973, 8355, 7922, 9899, 4164, 2644, 700, 5720, 2811, 4939, 6549, 392, 7042, 2877, 3873, 7277, 4368, 8289, 3605, 8749, 1217, 6344, 155, 1713, 4027, 4779, 8347, 8650, 5995, 8386, 7916, 8228, 7445, 1280, 7979, 2541, 7510, 5923, 6556, 8857, 9637, 3687, 4902, 3997, 5329, 1002, 8619, 894, 7523, 6862, 9304, 4847, 2358, 8076, 4908, 1091, 8715, 7339, 3504, 3649, 2785, 4129, 1581, 9469, 2970, 2936, 470, 5727, 7543, 9917, 8892, 753, 8113, 5128, 8528, 5782, 1828, 4159, 2133, 1879, 4147, 5084, 1491, 1966, 7565, 8071, 2813, 5847, 9359, 748, 6619, 7902, 8971, 2430, 8584, 4846, 507, 7993, 5122, 5875, 3459, 4336, 7423, 1621, 5857, 6810, 9983, 3898, 307, 543, 7965, 6569, 8009, 2337, 9442, 8887, 715, 497, 4034, 1569, 5716, 2603, 3159, 4670, 525, 8680, 6452, 7456, 6896, 9733, 7435, 4398, 6710, 3451, 3074, 9238, 5445, 8784, 6754, 6434, 7541, 8666, 4491, 9531, 3575, 5460, 9436, 2116, 9660, 5591, 200, 8377, 1711, 580, 1488, 6294, 5789, 8575, 356, 3744, 3776, 7416, 4355, 486, 2288, 3410, 9222, 9180, 7236, 4579, 7014, 3017, 2253, 1446, 9354, 2550, 5356, 9106, 5434, 357, 6623, 7408, 3962, 4548, 9885, 898, 7414, 8768, 9548, 2461, 7148, 7035, 1891, 8245, 8893, 5174, 4390, 5366, 1648, 4354, 7269, 6546, 3286, 242, 1612, 2640, 1696, 6014, 4228, 1821, 1677, 5957, 2256, 7012, 2334, 9017, 9679, 7464, 7759, 1083, 7348, 6358, 1951, 9204, 9287, 1396, 4184, 6437, 2991, 2189, 1368, 8549, 4699, 3869, 3313, 3516, 7268, 418, 779, 8716, 6149, 3436, 386, 7766, 4171, 1823, 676, 701, 3793, 7774, 1227, 5104, 4654, 2423, 2760, 4289, 8677, 6726, 1165, 9819, 289, 2862, 8823, 4270, 8622, 2389, 8664, 4472, 7242, 7355, 3397, 9923, 8255, 443, 7644, 8442, 3060, 8031, 9935, 1548, 5679, 4943, 8746, 2219, 7063, 9701, 3729, 5494, 6422, 3274, 6086, 2900, 3607, 7517, 3640, 9541, 1105, 1138, 3117, 6169, 1046, 9228, 5126, 8898, 1746, 9135, 4111, 2336, 9038, 1585, 3919, 5068, 5312, 3068, 6880, 5373, 1708, 4140, 3665, 515, 6325, 8264, 5807, 2729, 902, 6353, 6970, 2346, 4949, 3186, 7835, 4660, 7219, 4865, 6393, 3772, 7532, 8313, 9246, 5375, 9258, 6223, 2374, 4791, 6727, 2517, 4715, 686, 7317, 6267, 9078, 1671, 7558, 2163, 5337, 1600, 6602, 2351, 4648, 4799, 7315, 4261, 7746, 5218, 9665, 613, 6651, 2786, 1894, 4553, 9104, 5326, 7577, 6847, 3940, 2437, 6244, 7569, 2057, 1645, 9237, 1076, 269, 735, 816, 1721, 9214, 7449, 411, 1103, 803, 7725, 3883, 1437, 3908, 8729, 8322, 8184, 9441, 5176, 182, 4107, 7735, 4209, 3038, 936, 7341, 4796, 9559, 3702, 8623, 665, 1905, 9095, 4952, 8174, 2279, 1907, 250, 5495, 6733, 3181, 3979, 4734, 4049, 4385, 4174, 9286, 2025, 6803, 6146, 6301, 1848, 2222, 1939, 843, 1878, 5959, 119, 5602, 4266, 962, 5832, 1513, 2454, 8271, 6320, 5974, 4495, 692, 921, 7213, 7819, 8552, 3678, 9555, 1003, 6497, 271, 3403, 3726, 8183, 8913, 273, 8364, 8351, 3643, 3358, 722, 7712, 6321, 6076, 7169, 5000, 1539, 9, 4196, 5777, 4259, 3903, 2249, 8091, 9477, 5206, 6198, 5921, 1932, 2594, 6858, 4835, 623, 1448, 2435, 8662, 2450, 2767, 1240, 9261, 1161, 3378, 6256, 9263, 3541, 2527, 5488, 9154, 4158, 778, 2038, 5571, 5888, 8520, 1526, 6463, 2110, 6238, 5377, 1840, 6962, 672, 9406, 5997, 2335, 5941, 4690, 4262, 8065, 8306, 6246, 3127, 5479, 3343, 1739, 484, 8713, 9886, 2204, 6172, 4115, 6425, 2883, 9957, 3688, 3337, 9690, 6701, 6140, 4369, 3471, 9721, 3695, 9342, 3757, 7528, 9597, 5773, 2902, 4672, 6151, 3404, 1347, 2868, 4267, 3329, 6176, 3969, 8908, 4241, 9229, 2721, 4884, 460, 6214, 3870, 4842, 1354, 8407, 8425, 127, 6977, 1203, 5054, 796, 1452, 4461, 4291, 1875, 4851, 2925, 6723, 2918, 9138, 6922, 3334, 183, 7926, 1768, 4285, 6369, 1283, 6508, 8384, 9824, 4357, 4827, 8891, 4288, 20, 4841, 5190, 3233, 3745, 7640, 1498, 9547, 537, 7917, 1647, 2837, 8464, 857, 7217, 9881, 1043, 1727, 1445, 9672, 5157, 5691, 8782, 5618, 3676, 1968, 4722, 4790, 3467, 9896, 8925, 7899, 2742, 1982, 5690, 7721, 6083, 500, 5499, 2481, 8934, 3279, 4965, 5949, 2975, 4913, 8390, 5744, 6610, 2544, 7007, 4726, 5584, 4669, 252, 319, 6299, 7418, 9413, 6067, 2938, 683, 7752, 9785, 8226, 6338, 4741, 4580, 6778, 9466, 3457, 6467, 5674, 7996, 4112, 3304, 1442, 8769, 815, 4736, 4610, 4968, 125, 2059, 532, 1820, 9362, 62, 631, 402, 6069, 2066, 8146, 8366, 6097, 2294, 1960, 4072, 254, 2593, 578, 7447, 8531, 9199, 6625, 3460, 1151, 4121, 2032, 9179, 5984, 325, 9175, 4374, 2751, 2237, 5630, 8410, 3373, 4506, 1679, 1838, 9927, 4044, 1469, 5665, 5464, 9099, 1321, 7232, 2453, 4341, 9615, 6641, 7227, 8356, 113, 8634, 8348, 8675, 9584, 7971, 5610, 3785, 1, 3401, 1049, 5212, 4335, 1780, 1557, 2886, 8117, 2668, 5837, 5264, 7224, 2720, 4973, 2952, 340, 7166, 6160, 8726, 6266, 2680, 1617, 1582, 3514, 8816, 9132, 1923, 2407, 3347, 7796, 5043, 8004, 7461, 7607, 9857, 6129, 4273, 2372, 7020, 8173, 9509, 5628, 9480, 3315, 5256, 5382, 2993, 5196, 4490, 3145, 4051, 2333, 6133, 5222, 915, 7486, 3338, 6598, 1020, 2552, 1651, 8536, 191, 1149, 4915, 8765, 9536, 2188, 2847, 9368, 5090, 2159, 1379, 7892, 5419, 6645, 2037, 5165, 3216, 9903, 3733, 583, 659, 5340, 346, 3675, 9339, 8042, 1122, 2534, 3821, 1930, 6881, 7448, 9944, 5806, 7873, 3009, 7715, 8852, 211, 3305, 2613, 7964, 9423, 7403, 6175, 901, 4415, 6543, 344, 8879, 1740, 8482, 999, 1917, 7709, 783, 743, 192, 7990, 3302, 4679, 2754, 3626, 2379, 8594, 1970, 4004, 3659, 9698, 1817, 3983, 5484, 6180, 3419, 904, 8602, 7615, 7704, 6383, 8208, 4589, 6744, 6268, 1264, 9725, 4378, 7167, 1372, 4860, 2635, 3918, 6771, 3900, 328, 7300, 6680, 1771, 3868, 5316, 8695, 9638, 1993, 9848, 436, 2585, 249, 5515, 8781, 8038, 7180, 8062, 3420, 3536, 2944, 8583, 9090, 9272, 8684, 6028, 4785, 4837, 2745, 5204, 4774, 2075, 5092, 485, 7434, 7505, 2682, 8375, 2703, 851, 3985, 4991, 6944, 9101, 9865, 9098, 539, 1772, 4563, 2411, 3275, 8551, 5798, 8125, 1447, 9464, 832, 8670, 1916, 8431, 4057, 3264, 6683, 2446, 5681, 130, 9157, 6177, 282, 6853, 757, 8732, 596, 1257, 1691, 8099, 5147, 3303, 5585, 5246, 3245, 8409, 656, 7161, 5808, 3293, 6505, 2637, 7333, 5927, 7952, 479, 4163, 6951, 8807, 5653, 4993, 6399, 5186, 5853, 9714, 2206, 9332, 6148, 6994, 3474, 1487, 2844, 9357, 1685, 415, 5106, 188, 987, 6024, 6219, 57, 3076, 4886, 9599, 8760, 518, 1723, 2180, 8588, 1421, 1622, 2366, 4737, 7624, 7869, 1419, 9239, 879, 9650, 4279, 1914, 4065, 9109, 641, 1756, 4843, 7159, 1554, 3968, 5421, 4994, 108, 2809, 1714, 9826, 6792, 2230, 1098, 4539, 4055, 1890, 6746, 6265, 9702, 243, 3511, 3611, 5764, 28, 2241, 7551, 1531, 2261, 2816, 4818, 29, 1230, 9439, 1416, 5367, 6717, 3859, 3464, 4758, 1178, 4621, 5505, 7616, 9647, 8361, 3175, 1134, 2623, 2320, 9346, 7852, 5266, 899, 673, 7177, 3288, 719, 4562, 9226, 8206, 1202, 6355, 7676, 8918, 9116, 1804, 7658, 2339, 1861, 9762, 1904, 3674, 1204, 58, 5260, 5376, 1037, 4917, 3755, 9182, 6421, 9570, 6531, 1972, 7251, 5430, 2614, 2502, 5799, 4608, 9573, 3413, 197, 3243, 5301, 9994, 4216, 5296, 7584, 3820, 3955, 1248, 5247, 6423, 9013, 5180, 3202, 7785, 6236, 4947, 9741, 301, 5796, 3185, 6688, 2790, 2542, 9706, 7789, 1953, 2444, 4298, 513, 2616, 6627, 8120, 9111, 169, 7406, 3553, 3748, 6714, 9203, 6963, 3389, 6943, 4596, 5840, 321, 4213, 4922, 5542, 5289, 2031, 4647, 8510, 8717, 422, 7404, 8795, 9133, 234, 7273, 7471, 4217, 8796, 9958, 7566, 8883, 5521, 2263, 3080, 3632, 5001, 3599, 2530, 4970, 804, 7597, 8406, 6565, 6919, 280, 4700, 1801, 7663, 9607, 8759, 7252, 1486, 3586, 9202, 9975, 6713, 7463, 8841, 3714, 828, 4282, 4422, 3322, 2270, 3491, 3028, 7118, 773, 1328, 9936, 393, 268, 4646, 2255, 8568, 976, 8143, 5887, 9291, 2297, 658, 3838, 2367, 4730, 9313, 8775, 4207, 4199, 4703, 1436, 9730, 667, 7844, 8779, 8430, 5046, 8376, 1545, 7698, 4059, 1811, 6012, 9375, 85, 5717, 1120, 955, 3193, 5671, 1851, 2591, 4940, 1259, 6052, 9415, 4409, 710, 6025, 9337, 2628, 5408, 6959, 8210, 3596, 1502, 7069, 1980, 3170, 1189, 1278, 5651, 7895, 4750, 5448, 323, 5747, 5815, 8978, 1410, 3107, 9082, 6567, 6, 5632, 2077, 5298, 4039, 6098, 7755, 2627, 7466, 4032, 9867, 6003, 6013, 7958, 6446, 7368, 9244, 6287, 63, 3012, 7444, 6145, 6690, 8681, 2439, 8488, 9827, 4183, 7429, 7699, 8181, 2597, 7605, 8596, 2386, 1348, 6564, 6063, 3331, 9155, 1632, 4074, 7110, 8193, 3818, 833, 1807, 9610, 4361, 1086, 16, 4123, 5191, 6201, 4709, 1143, 9319, 5201, 8399, 384, 9066, 2167, 3327, 2654, 4848, 4360, 1976, 5898, 4031, 9859, 2986, 2490, 6894, 1341, 7949, 1662, 9401, 2928, 8265, 9726, 3686, 7496, 6387, 6032, 7823, 3557, 7419, 6584, 1009, 8694, 389, 5061, 8450, 540, 3943, 7455, 1241, 8606, 6520, 6736, 6504, 1085, 5811, 8691, 5072, 9081, 6275, 9757, 6816, 7131, 671, 4581, 3444, 9552, 4331, 2695, 7401, 2690, 4761, 1389, 1779, 6143, 8810, 163, 6607, 5459, 2442, 4624, 3690, 4815, 5314, 1207, 2388, 2843, 614, 7788, 6634, 2361, 9330, 2737, 44, 7522, 5889, 2332, 6001, 8150, 6240, 5361, 7044, 8993, 6846, 2318, 1626, 8737, 5029, 2076, 7955, 6395, 7323, 8451, 2171, 953, 6964, 5517, 5629, 9430, 2129, 8727, 2505, 1153, 3135, 3231, 5594, 1142, 9264, 8363, 8201, 3350, 6957, 1515, 8665, 3248, 9592, 2109, 2808, 2920, 1191, 8740, 1720, 4021, 2353, 9416, 7591, 8380, 165, 8367, 3978, 2078, 9913, 7841, 1423, 1791, 9779, 9543, 1045, 6933, 6558, 4258, 3182, 4424, 9642, 2245, 9393, 6993, 5677, 5969, 3768, 2849, 8270, 7281, 3589, 6561, 2302, 5032, 8368, 7085, 7713, 4402, 8383, 4214, 2702, 4778, 7808, 1920, 6102, 7862, 9119, 5370, 4811, 8753, 7900, 6823, 5439, 4426, 8372, 4126, 2829, 305, 2942, 3609, 6484, 8055, 5017, 8991, 9846, 2023, 3402, 2716, 9504, 1913, 986, 6277, 874, 3282, 3834, 1058, 30, 17, 1902, 4605, 472, 9152, 951, 4927, 1417, 2999, 9335, 9245, 7144, 745, 983, 1117, 8812, 9485, 2226, 6590, 1079, 4028, 2706, 9254, 3890, 5810, 6938, 8432, 4894, 3039, 6196, 3104, 9904, 8497, 4925, 9352, 5336, 5177, 1524, 8068, 4160, 9496, 8804, 8027, 6696, 2034, 1497, 7761, 5599, 1123, 4330, 4014, 7038, 75, 1818, 2433, 207, 375, 4345, 7812, 124, 1281, 3930, 3097, 8466, 4348, 8530, 7173, 595, 8945, 2888, 6322, 6260, 3154, 3225, 9471, 1104, 2313, 9742, 1519, 2774, 6600, 7847, 1036, 6528, 9634, 1131, 8121, 8687, 1763, 5182, 8286, 8229, 5317, 4359, 8923, 7513, 366, 3021, 7041, 876, 7356, 450, 8748, 1471, 6990, 2128, 8012, 9341, 763, 3618, 9561, 7174, 7060, 1668, 2904, 8673, 5638, 3386, 9278, 6960, 5736, 8861, 4505, 3417, 7147, 4756, 1693, 296, 9553, 8996, 1707, 7762, 9427, 3430, 2921, 8279, 3020, 6807, 1428, 5654, 7969, 8750, 5211, 6199, 1163, 7390, 891, 5890, 8188, 9188, 6698, 2049, 3472, 7375, 7303, 167, 6566, 8678, 7771, 4840, 9772, 8310, 6633, 4966, 6562, 3762, 7947, 2684, 2269, 7921, 3895, 2898, 9844, 2884, 2692, 2709, 9512, 4691, 7770, 227, 2029, 5497, 7576, 4745, 2589, 9505, 1962, 9487, 6007, 4677, 1461, 4106, 8295, 4568, 1944, 7206, 8577, 5710, 6158, 584, 4370, 5682, 4281, 7574, 223, 7851, 6687, 4881, 1700, 9067, 6048, 523, 3806, 4437, 5707, 7352, 330, 1886, 2678, 3975, 9186, 7939, 8897, 8791, 2233, 9941, 4406, 462, 6814, 9926, 300, 7264, 3564, 3311, 564, 2274, 7829, 6004, 680, 2307, 9006, 5496, 875, 8641, 2773, 1225, 7863, 1159, 6181, 1751, 7387, 5902, 1755, 1362, 9122, 9778, 4832, 2020, 6047, 3893, 1850, 2961, 8557, 1958, 3439, 1570, 2396, 4413, 5167, 6366, 6559, 7600, 8447, 2131, 6934, 4527, 9303, 9619, 5822, 5598, 8122, 3525, 2438, 5346, 6089, 6777, 3995, 4945, 4783, 3228, 2564, 229, 7611, 5790, 9851, 2675, 7976 ], [ 8244, 3991, 1882, 9817, 3942, 5412, 2158, 1601, 7886, 3593, 326, 74, 4544, 7504, 5364, 7033, 77, 639, 7030, 2982, 8506, 4606, 2826, 9318, 8624, 7681, 6119, 1351, 7119, 1171, 7672, 6695, 8639, 291, 2027, 6363, 6682, 9340, 1591, 7106, 1587, 4224, 7343, 7199, 681, 9334, 4655, 7811, 8974, 8951, 2620, 877, 749, 4095, 5487, 7961, 9791, 8215, 6524, 3845, 1344, 6222, 8278, 2184, 8238, 7080, 5164, 7246, 8438, 2907, 2574, 5113, 767, 1477, 2981, 6887, 5543, 9759, 5, 208, 9225, 5801, 9490, 8541, 4352, 2452, 2719, 4645, 7032, 337, 2666, 4233, 4638, 8743, 5624, 4116, 6051, 4206, 8644, 1169, 9755, 5754, 8724, 1947, 7666, 5892, 996, 8054, 7768, 4531, 1715, 2995, 180, 6107, 6948, 721, 1595, 7359, 6163, 6445, 9492, 939, 5794, 3249, 9600, 5491, 6061, 5391, 3449, 1782, 2707, 9784, 3510, 949, 5641, 1562, 8011, 2590, 2447, 6874, 9777, 823, 9969, 8454, 9661, 2997, 5197, 5784, 9210, 3208, 4200, 8389, 6927, 1056, 5730, 8564, 8620, 3199, 6492, 6516, 3501, 2429, 1887, 2007, 1380, 1492, 980, 9737, 7321, 2342, 8254, 5441, 1815, 8166, 6022, 6824, 3964, 1792, 4556, 7849, 5069, 3987, 4957, 3502, 2019, 3081, 2476, 7136, 5922, 3198, 7602, 8926, 3494, 5138, 1726, 6488, 149, 2480, 7165, 5101, 9192, 3362, 1673, 1335, 777, 4775, 1938, 7094, 5087, 3658, 3929, 7205, 6622, 1701, 2926, 6763, 8328, 3956, 7086, 3191, 3082, 9633, 2472, 4742, 9928, 3708, 7322, 9125, 882, 4494, 3393, 7433, 2652, 8608, 3617, 4153, 7985, 8711, 4240, 3544, 4707, 8124, 6447, 8050, 4821, 645, 3328, 552, 6340, 1597, 4229, 9420, 7259, 8738, 6854, 8101, 2108, 872, 4830, 3753, 4680, 1478, 3803, 2762, 2192, 4036, 6179, 7954, 9765, 7393, 3276, 3715, 4157, 432, 6466, 6235, 225, 2293, 9338, 5040, 5580, 1284, 1874, 8445, 1023, 6947, 920, 5280, 5948, 1572, 8627, 1008, 2931, 3891, 5871, 5406, 4502, 8052, 3412, 6521, 2462, 5291, 7807, 8839, 9437, 8502, 8593, 2840, 670, 9473, 4309, 5049, 4810, 4444, 2016, 6583, 4026, 1464, 1309, 852, 6935, 6106, 3713, 101, 5825, 6469, 5005, 9795, 8636, 2784, 4510, 6273, 6832, 8565, 9985, 5213, 7512, 7288, 1054, 6313, 46, 2679, 9999, 4534, 3916, 4404, 1765, 4705, 6453, 7216, 6576, 7488, 2164, 7284, 9646, 1773, 4048, 7022, 688, 2408, 1616, 6029, 7548, 6647, 2584, 3041, 6601, 4520, 824, 1681, 1839, 3518, 4953, 2250, 6639, 6621, 6648, 382, 9141, 8337, 9837, 7436, 5831, 437, 4759, 6332, 9801, 8085, 9077, 6923, 3961, 2445, 6392, 8928, 9712, 8398, 3507, 131, 5577, 855, 7793, 5233, 3569, 5117, 2834, 516, 9358, 2397, 8192, 5057, 1568, 4077, 6665, 1578, 5063, 148, 5365, 1312, 8141, 5207, 1563, 8235, 2280, 9582, 5842, 5385, 9191, 8856, 7083, 9206, 7633, 970, 8757, 6144, 2935, 9516, 6974, 5111, 322, 5524, 3169, 4496, 9462, 1474, 3298, 3696, 222, 5071, 7319, 9632, 3587, 6112, 6728, 126, 3934, 1635, 501, 7225, 241, 7756, 1536, 750, 4152, 3431, 9680, 7056, 4601, 7963, 3351, 3019, 7141, 2663, 6300, 1462, 401, 407, 2812, 8326, 9198, 2111, 3717, 555, 3689, 8654, 7209, 734, 7369, 4633, 4515, 7809, 1787, 121, 7837, 1656, 5093, 1596, 7388, 4192, 6234, 714, 343, 2489, 2793, 2043, 6059, 5676, 1535, 5004, 5947, 6000, 1922, 9800, 5450, 1184, 3906, 9798, 4776, 4440, 9918, 2267, 8365, 830, 288, 6784, 8813, 1731, 612, 2427, 6271, 3837, 8706, 5614, 111, 4363, 1657, 8325, 1408, 4684, 9551, 4053, 4623, 1686, 5345, 3967, 5780, 8671, 3892, 3584, 2281, 8419, 4210, 2212, 4552, 9438, 8871, 6649, 4067, 5325, 1449, 3884, 5020, 1268, 8017, 7970, 8880, 9878, 5576, 610, 1608, 4006, 7933, 3700, 7568, 3053, 3777, 1910, 780, 9446, 8330, 6002, 1599, 9184, 9282, 751, 5343, 9326, 7446, 3764, 8613, 2190, 5833, 4132, 1899, 2851, 5315, 481, 6406, 8894, 3616, 4964, 8649, 9265, 3798, 1517, 1736, 1224, 7421, 4469, 8291, 5086, 429, 8948, 8499, 8411, 4907, 100, 38, 3519, 6838, 413, 3885, 3102, 7822, 4631, 8976, 4895, 4018, 4565, 6385, 7764, 604, 1032, 7397, 27, 5562, 9749, 1375, 728, 6512, 9568, 7172, 5774, 2221, 5759, 1516, 5244, 8123, 4538, 221, 7578, 2749, 6182, 4318, 4590, 9641, 9314, 6270, 8346, 6044, 1538, 5393, 2369, 1586, 6629, 1075, 467, 7729, 1856, 4857, 5350, 3705, 7221, 2943, 2289, 9212, 4416, 453, 5522, 952, 7028, 1593, 9102, 1857, 80, 6443, 4637, 3701, 299, 9902, 7776, 2259, 6159, 7564, 6661, 7474, 2064, 4030, 4256, 9829, 8026, 3330, 2200, 2495, 7978, 8263, 5025, 2098, 2738, 7214, 2362, 5703, 8931, 7439, 6841, 3400, 8944, 5035, 1615, 7552, 8342, 9895, 1441, 2796, 5085, 5581, 8079, 2410, 5368, 6274, 9882, 3040, 1468, 504, 1642, 2278, 7692, 5900, 744, 9611, 6737, 8821, 510, 4338, 9883, 4831, 1813, 9535, 7562, 7392, 6237, 1564, 1949, 1942, 3192, 8321, 7706, 9387, 1855, 3706, 5293, 9786, 4583, 9200, 2897, 682, 4096, 4698, 5477, 2770, 9980, 8734, 7828, 7183, 2018, 6593, 5146, 8007, 4613, 3730, 8696, 834, 4946, 3295, 6879, 4173, 8354, 937, 2229, 373, 5094, 3261, 5098, 5028, 1440, 4492, 9080, 6018, 1649, 1501, 8036, 5767, 4961, 2964, 9459, 5814, 5380, 2612, 6494, 2583, 9005, 4194, 6783, 1931, 3326, 67, 9965, 3545, 1398, 6249, 452, 4920, 8327, 7521, 4747, 2718, 4101, 7077, 4177, 4386, 459, 3864, 7898, 6100, 6817, 5123, 3066, 6932, 5549, 1296, 2391, 245, 5506, 4400, 2777, 772, 8301, 9029, 3852, 1378, 8318, 3932, 5351, 4246, 1349, 5199, 1443, 7994, 3606, 6272, 8142, 3952, 5850, 9379, 2528, 6911, 4546, 177, 3229, 3917, 805, 4797, 9194, 3051, 7197, 8982, 6965, 3554, 3052, 7405, 3758, 5413, 8712, 6686, 6436, 4914, 6221, 4178, 7629, 8647, 1331, 6715, 5447, 7751, 6751, 7714, 7859, 6262, 3879, 3522, 6039, 7951, 6481, 6652, 854, 626, 2636, 7557, 6429, 5095, 3667, 5692, 1834, 2141, 3244, 3254, 3907, 4356, 5270, 4693, 8172, 1495, 7347, 9912, 2618, 9064, 1115, 4300, 3394, 7415, 5473, 2766, 7270, 7207, 7476, 7059, 9616, 844, 6900, 9126, 5617, 7223, 698, 4518, 8793, 9201, 8700, 2000, 6711, 9581, 6667, 3728, 2402, 5321, 354, 2301, 2155, 270, 4611, 8203, 2421, 6352, 6070, 3716, 7291, 4450, 3683, 7237, 569, 8783, 6786, 3318, 8970, 3970, 617, 8910, 2416, 1001, 8400, 2419, 9336, 8220, 1637, 7718, 9252, 9160, 8131, 1070, 8200, 9595, 4109, 8018, 2104, 4275, 6829, 3825, 713, 977, 3783, 4451, 5872, 1490, 8519, 236, 3011, 8392, 9659, 3802, 2857, 1476, 1286, 2869, 9753, 6842, 3465, 1594, 2248, 5322, 4188, 2937, 723, 842, 6475, 439, 697, 3134, 8979, 6915, 6006, 600, 59, 1845, 7726, 3265, 9521, 9060, 6050, 9285, 4000, 6381, 9046, 6640, 5485, 3735, 1934, 5513, 4866, 8316, 4573, 8863, 7545, 6415, 4189, 6535, 7380, 1822, 8480, 2458, 6684, 6961, 1011, 5443, 8064, 3653, 3470, 8353, 8975, 487, 6883, 1748, 5295, 3727, 1074, 7064, 9653, 6968, 1520, 7096, 6440, 9121, 9144, 7661, 1310, 3698, 7229, 1631, 8021, 863, 7997, 1620, 9468, 1827, 8693, 8047, 6407, 1719, 7191, 2352, 8160, 7700, 9000, 5168, 8888, 1819, 1872, 1605, 9461, 5378, 4443, 9294, 370, 7799, 6848, 4823, 7370, 4073, 5967, 5124, 308, 9818, 9033, 2922, 5058, 1784, 2114, 5262, 7544, 8083, 5659, 4931, 1523, 7272, 1041, 6390, 4463, 9976, 7010, 6139, 3749, 7864, 9445, 7520, 4141, 814, 6015, 1734, 9526, 8296, 3026, 260, 7494, 5347, 172, 6975, 6154, 1059, 3535, 3059, 2779, 5501, 9343, 689, 654, 8163, 1175, 8865, 201, 2316, 2384, 9454, 6430, 2507, 9395, 4089, 6092, 6194, 1509, 5348, 3524, 8249, 3619, 2209, 9622, 4500, 2980, 8412, 9691, 1065, 6857, 9776, 3366, 4657, 5896, 9544, 1073, 4221, 9823, 7542, 1788, 589, 6209, 4956, 3946, 6419, 9849, 5819, 5631, 3796, 6459, 9831, 6802, 2406, 6041, 9042, 51, 2125, 4110, 1703, 2878, 2508, 3740, 430, 1267, 990, 1438, 3042, 2819, 7612, 2769, 3211, 7283, 3196, 5903, 8170, 5405, 5905, 1901, 8171, 6795, 4442, 7527, 6426, 4100, 498, 5379, 1847, 4311, 2532, 8198, 9998, 1221, 6868, 3335, 3933, 8916, 5877, 1336, 2810, 9140, 733, 143, 1689, 908, 1977, 4889, 8397, 1639, 2575, 2608, 7089, 6704, 1722, 6538, 6774, 8508, 668, 940, 6892, 8483, 1182, 5527, 2669, 5698, 6712, 6988, 6329, 4086, 5355, 1357, 9178, 9675, 546, 687, 7440, 846, 1222, 3692, 8373, 8610, 4869, 8973, 6454, 6064, 1345, 5073, 2147, 1555, 9105, 7671, 8682, 2203, 9624, 559, 5283, 9893, 7262, 9812, 5683, 5955, 9230, 5398, 3398, 6597, 1304, 895, 7846, 2113, 2792, 4593, 6796, 2378, 4037, 4513, 517, 9841, 5509, 5985, 3539, 6668, 8914, 5978, 9484, 6239, 7, 7588, 2558, 2070, 6227, 7744, 3048, 3407, 1262, 3281, 4197, 570, 4612, 4457, 1299, 4918, 4063, 3591, 2934, 3395, 9799, 5411, 6631, 4592, 4172, 1129, 3928, 7875, 5472, 6005, 9601, 8535, 6681, 5724, 6501, 8586, 1606, 8988, 2864, 2586, 512, 1297, 9452, 2083, 78, 6637, 756, 2236, 8938, 8942, 6490, 9620, 7550, 1195, 607, 9381, 122, 6732, 5458, 4068, 4892, 5310, 606, 3660, 2026, 2033, 5933, 1483, 3503, 4265, 6020, 6444, 1926, 9955, 5303, 7230, 1292, 8246, 5352, 9747, 2676, 1669, 7129, 84, 4441, 9400, 5026, 7192, 9221, 2546, 8562, 1529, 1219, 4893, 1692, 3805, 7334, 5159, 3065, 3894, 5044, 5097, 4926, 7107, 3361, 2951, 3794, 7668, 4762, 9213, 8077, 2050, 3792, 5596, 3385, 4023, 4912, 3090, 7999, 91, 8023, 8538, 7775, 5387, 7073, 6495, 1609, 8822, 9296, 6377, 8041, 8350, 3710, 1024, 1808, 4955, 8155, 1382, 9394, 9768, 7838, 1925, 608, 7833, 3881, 5175, 2670, 7125, 592, 367, 3506, 3069, 8725, 4753, 2451, 9440, 4807, 6734, 2615, 821, 7350, 6953, 8331, 910, 3738, 585, 8831, 8029, 8028, 2780, 9367, 7818, 3563, 5277, 4268, 1301, 4292, 2825, 6438, 1957, 6405, 1730, 3615, 7989, 6837, 2401, 6009, 79, 6674, 7540, 8912, 6281, 6718, 7806, 6095, 1185, 8218, 4103, 7848, 4102, 674, 9508, 7546, 303, 7336, 2861, 4392, 1862, 1984, 7314, 9745, 2563, 8771, 8469, 3137, 8529, 8341, 3238, 6217, 5210, 6165, 7525, 3863, 5830, 635, 8005, 8604, 6152, 4187, 297, 8719, 363, 5942, 4085, 6901, 2062, 8073, 2344, 2787, 8319, 1973, 259, 8247, 41, 7516, 274, 141, 1728, 3911, 7538, 6323, 5022, 7123, 4717, 3719, 9023, 6878, 4471, 4367, 5333, 6891, 5555, 7282, 1798, 1860, 355, 8514, 9455, 1403, 7937, 2859, 2017, 5134, 8424, 8643, 9850, 7724, 6349, 7573, 3289, 3250, 8281, 6800, 1288, 4936, 9898, 4297, 6027, 7585, 1012, 1503, 827, 4528, 4237, 9676, 2090, 7623, 7186, 7122, 2404, 2994, 7248, 2645, 1102, 7904, 5783, 9390, 1796, 5442, 4364, 3779, 1119, 9072, 7469, 8702, 3622, 9746, 5238, 926, 9048, 1422, 9424, 6168, 5324, 7093, 4479, 1560, 8214, 3174, 4294, 7253, 9356, 5357, 8656, 5019, 6200, 4941, 7596, 2319, 8895, 5858, 2758, 5427, 9708, 4650, 5979, 8253, 7320, 3656, 1602, 3685, 1654, 6285, 6924, 2894, 1209, 8907, 152, 1481, 4277, 4040, 531, 1699, 4795, 7188, 193, 1505, 3428, 7254, 1109, 469, 5873, 3725, 5536, 6675, 1640, 4047, 7519, 7453, 7701, 6330, 4607, 465, 4838, 8580, 9460, 5156, 8329, 162, 8904, 6298, 9281, 2946, 4923, 7634, 8001, 8478, 6889, 1803, 468, 4652, 5319, 6335, 8408, 7867, 3743, 858, 391, 5013, 5354, 6635, 6899, 9639, 3769, 8803, 6768, 9435, 7840, 1332, 7509, 6498, 5255, 7289, 8496, 3578, 9930, 5214, 2529, 8569, 3561, 8089, 4521, 2363, 7621, 4376, 3699, 5096, 8459, 6023, 4131, 3130, 1489, 2989, 8853, 5578, 7468, 9398, 7953, 8628, 458, 7941, 4876, 3555, 5851, 1809, 3848, 2730, 2215, 3045, 5559, 4519, 1559, 3791, 2783, 9852, 3822, 760, 6470, 3158, 3083, 8211, 6259, 6315, 8048, 1929, 2067, 9925, 2106, 988, 7827, 5929, 7778, 3627, 8288, 5999, 7773, 502, 6560, 9172, 2822, 2252, 6468, 6632, 4525, 4453, 7360, 5045, 2119, 557, 8905, 8772, 3119, 1236, 4766, 3195, 8134, 4572, 3392, 8126, 5619, 8149, 9499, 5263, 6449, 6105, 708, 7882, 9556, 6110, 9399, 6719, 8631, 5570, 8267, 9255, 5290, 7182, 2493, 4824, 3003, 1007, 4387, 5532, 8626, 3374, 5792, 5548, 5778, 4545, 8990, 3751, 1576, 88, 475, 2265, 889, 8359, 3971, 6030, 246, 4008, 2973, 5305, 9283, 5033, 9472, 4332, 9709, 1983, 883, 275, 8415, 2743, 8618, 9404, 9056, 3679, 3171, 1830, 3438, 8766, 6863, 3344, 8241, 6920, 7889, 563, 7358, 1246, 7791, 5879, 7536, 8312, 3976, 5183, 4269, 7992, 9223, 1101, 2650, 9181, 6503, 9932, 8758, 4382, 4078, 6373, 7948, 6137, 6458, 3015, 4212, 9266, 9369, 2587, 2688, 1553, 7608, 9167, 897, 6747, 8119, 9942, 8401, 1062, 7966, 4769, 4302, 9215, 8414, 3795, 3285, 390, 9123, 4597, 4609, 3654, 3058, 397, 8402, 7982, 6215, 2117, 6936, 8581, 2967, 9540, 1941, 8224, 9115, 5718, 8093, 554, 8413, 2054, 5185, 7311, 964, 2798, 3292, 1162, 5237, 8019, 9217, 2732, 4232, 4090, 994, 9988, 8686, 1290, 1006, 7734, 360, 8922, 3118, 2890, 1571, 9550, 3025, 2093, 9532, 8742, 7630, 621, 5060, 9760, 7313, 2055, 4773, 2296, 2855, 134, 380, 9478, 4470, 4557, 1186, 9086, 1661, 3440, 2919, 6379, 9227, 893, 2681, 2562, 8323, 8396, 4133, 7410, 7151, 4950, 6248, 2850, 3246 ], [ 7730, 9041, 379, 9811, 9873, 4476, 2101, 2130, 619, 5437, 1338, 9345, 5721, 5341, 7091, 2254, 5223, 6725, 9022, 2539, 1687, 553, 6111, 694, 3601, 7267, 9054, 120, 3319, 24, 9981, 9458, 2865, 4863, 1370, 8148, 4117, 2165, 661, 1496, 7914, 4566, 6902, 318, 4875, 9579, 2910, 4686, 8382, 8112, 9092, 9539, 9723, 4380, 5965, 1035, 3920, 2014, 1762, 1276, 6053, 5885, 2260, 9093, 5843, 5414, 1053, 7095, 7396, 6057, 5731, 859, 8080, 6096, 4169, 3121, 3164, 8422, 1577, 4656, 4446, 416, 383, 8860, 3415, 7925, 2512, 2368, 8969, 5627, 862, 8196, 567, 9663, 1146, 5656, 290, 4999, 6591, 2708, 1390, 4725, 3661, 7212, 716, 3866, 2510, 2283, 6762, 9025, 4533, 579, 6642, 3835, 6487, 3808, 6772, 1066, 7727, 387, 1533, 822, 2842, 727, 7502, 3483, 9874, 731, 408, 6189, 1374, 258, 5758, 1781, 3091, 272, 1004, 618, 3188, 4081, 2048, 8225, 104, 776, 9875, 3187, 4251, 7081, 9783, 5455, 930, 2479, 5149, 1426, 7170, 8705, 6066, 2227, 4755, 1579, 1678, 1206, 7294, 6740, 7126, 9704, 4003, 928, 8069, 696, 7171, 454, 4403, 2795, 3877, 3323, 8826, 7694, 9576, 8929, 9506, 8292, 9100, 2903, 8646, 6331, 2003, 7583, 178, 7782, 7243, 7335, 3529, 9933, 6895, 3912, 3533, 1211, 3370, 7305, 6515, 5353, 2875, 6850, 3862, 2817, 7048, 7913, 6448, 6609, 2556, 4512, 7354, 7636, 8799, 8591, 582, 3450, 5996, 4728, 3782, 571, 7741, 3844, 6788, 4603, 9183, 8251, 4678, 4874, 5541, 358, 5988, 251, 5243, 4418, 9888, 6226, 6087, 7651, 6019, 4868, 9392, 2315, 1014, 3527, 4393, 9097, 3831, 7116, 5038, 1927, 491, 1242, 8259, 3368, 9618, 1315, 9161, 2835, 3266, 2118, 2933, 8404, 6581, 4195, 4045, 3453, 6473, 8832, 8512, 2463, 9008, 1800, 9681, 8154, 5052, 7560, 1627, 1414, 660, 9165, 7657, 633, 3989, 2063, 8194, 1745, 9321, 3981, 3001, 887, 8708, 3490, 2387, 8710, 171, 7526, 6316, 6278, 5281, 4854, 347, 2739, 2605, 8371, 2775, 7402, 8540, 9051, 7349, 8381, 1986, 3475, 3650, 8668, 6756, 8655, 5643, 878, 2390, 4193, 7179, 933, 8066, 8195, 4729, 3721, 1750, 1136, 8763, 4366, 8567, 8616, 8867, 4959, 7189, 1337, 4877, 493, 6831, 6103, 2565, 1366, 2040, 5673, 8967, 6147, 2807, 3709, 5420, 3815, 3027, 6384, 4105, 5359, 8755, 3652, 7398, 917, 8352, 4020, 5518, 7452, 9262, 2005, 5817, 4299, 1144, 929, 8426, 9328, 5539, 2696, 1697, 8437, 2683, 4909, 6669, 5516, 2553, 266, 117, 7043, 339, 4293, 1676, 3299, 1384, 5640, 8987, 8709, 9938, 1272, 6700, 9208, 885, 5687, 2196, 2983, 6082, 1663, 3124, 8320, 9269, 1164, 5816, 7023, 9174, 1837, 4202, 7052, 9134, 6539, 3542, 4412, 616, 2624, 8222, 2863, 2177, 8802, 5616, 72, 8221, 2892, 8603, 8835, 7154, 6921, 7702, 6532, 9767, 320, 2667, 4383, 1547, 102, 2984, 1832, 2211, 4535, 5655, 4474, 9587, 9355, 3767, 8550, 7957, 3079, 9657, 4227, 1969, 3369, 7857, 4760, 2533, 4419, 1218, 2153, 7696, 8526, 5059, 3256, 9972, 6755, 4674, 5056, 153, 9383, 9590, 4154, 3099, 809, 7834, 3155, 2714, 6779, 4459, 646, 4951, 3655, 9074, 1383, 5323, 6378, 981, 919, 998, 4029, 405, 2258, 3760, 4619, 5820, 3747, 9418, 1038, 3672, 1200, 5743, 7865, 593, 3854, 5728, 2896, 7163, 2595, 49, 6118, 6595, 4493, 4124, 4903, 7646, 1181, 5470, 4012, 4035, 8403, 3771, 8034, 8786, 3573, 4231, 3882, 4337, 5740, 8915, 5189, 4481, 8657, 7109, 9858, 8498, 5575, 1653, 7784, 7887, 7158, 4464, 3152, 8739, 2841, 136, 1072, 8859, 4636, 6588, 2731, 2626, 1641, 9250, 576, 8284, 9009, 7265, 6245, 76, 3427, 2831, 7868, 4683, 3405, 3737, 1057, 4156, 1044, 7601, 2242, 1303, 5741, 5478, 5607, 9036, 792, 11, 4549, 8889, 4144, 9363, 4872, 6735, 216, 9686, 7457, 3050, 4584, 7104, 7680, 2686, 1566, 420, 8147, 8995, 4618, 5486, 3317, 1843, 2127, 1231, 3363, 7745, 2693, 2788, 8003, 6254, 9494, 7946, 943, 1099, 1233, 4550, 2217, 7481, 7983, 3339, 8830, 7912, 8405, 5016, 2917, 1081, 5987, 4891, 9129, 4487, 6542, 6303, 7903, 1575, 170, 7000, 7019, 3277, 1829, 3167, 5369, 1955, 7004, 8762, 1584, 725, 5012, 1604, 4236, 1170, 1716, 5079, 4024, 9654, 7973, 7880, 2996, 7719, 3437, 957, 5652, 984, 5669, 2599, 2143, 2874, 2428, 1881, 3484, 7432, 4748, 9808, 9833, 8293, 3283, 5534, 7977, 3408, 5011, 8022, 9612, 5595, 8280, 2662, 6929, 3549, 115, 7307, 302, 1754, 6202, 9348, 2906, 5913, 6043, 4782, 4313, 9719, 34, 9153, 7438, 3429, 3284, 1945, 8452, 3466, 3269, 3290, 6305, 1753, 5282, 3321, 8690, 2893, 5868, 6319, 6062, 868, 7858, 5849, 9770, 2096, 755, 9374, 4009, 7266, 4786, 9514, 2916, 4223, 7567, 5529, 6554, 754, 2700, 2486, 643, 6646, 9574, 932, 7220, 4011, 9748, 3965, 9016, 3915, 6509, 7750, 6205, 2582, 837, 4396, 4042, 2836, 3517, 6077, 3603, 1353, 6155, 1096, 7306, 5766, 4974, 9449, 8957, 2432, 2545, 5919, 2045, 561, 4853, 3677, 5166, 5024, 6724, 1454, 4043, 7765, 5456, 7580, 9432, 2420, 9964, 6671, 9689, 3671, 406, 5510, 6705, 6243, 3002, 3476, 4738, 1343, 8653, 9088, 2998, 2607, 8433, 56, 6677, 3581, 1022, 4905, 9803, 7801, 6804, 9289, 4897, 5993, 7053, 6424, 4976, 2201, 1400, 4501, 4820, 5274, 3442, 6906, 1963, 6439, 8456, 8061, 8959, 1985, 3595, 2199, 4992, 9084, 9744, 6345, 3668, 9631, 2687, 6131, 8885, 2327, 3218, 3901, 9315, 3151, 9763, 206, 5565, 5332, 9630, 8965, 503, 8138, 3841, 7967, 8056, 4896, 581, 6541, 3230, 7072, 5944, 3937, 9821, 8461, 5397, 541, 1088, 4910, 9860, 8487, 8882, 2220, 946, 8187, 5886, 1618, 6337, 8108, 94, 7853, 8542, 2246, 3435, 6071, 7295, 8082, 5188, 8999, 7058, 7367, 4456, 9211, 6967, 1249, 4808, 7988, 4577, 4508, 8486, 1160, 9766, 3836, 3921, 6942, 514, 4942, 7603, 4253, 6849, 4019, 8462, 9159, 881, 8024, 6527, 4804, 5945, 1479, 9724, 9569, 118, 5129, 2136, 5384, 2881, 2930, 3602, 5685, 3371, 3446, 3784, 9511, 9940, 2638, 6220, 9249, 4323, 8561, 6218, 5953, 209, 6885, 8164, 6657, 7575, 2134, 219, 2039, 2305, 9347, 9519, 8751, 4740, 802, 6794, 9456, 5694, 8570, 8977, 1097, 2193, 3160, 2286, 8049, 9024, 5169, 8388, 9700, 2717, 2377, 7371, 5453, 3054, 3498, 8563, 6806, 4391, 6075, 7292, 3712, 277, 5153, 8648, 7342, 9329, 5465, 106, 4689, 8855, 1215, 1532, 9234, 8033, 8290, 2156, 4408, 8527, 8169, 5075, 6427, 2132, 1360, 1308, 5490, 398, 6730, 8842, 2364, 912, 3049, 8806, 2169, 9670, 9685, 4295, 6630, 9309, 9001, 1680, 8833, 647, 7582, 5864, 1193, 1157, 7749, 3739, 560, 685, 6925, 4482, 7660, 6617, 4139, 5392, 903, 9717, 1522, 3954, 6359, 8272, 2858, 217, 2735, 457, 5704, 7329, 9139, 1607, 8202, 1790, 7638, 4168, 9380, 5899, 2927, 9629, 417, 4598, 7555, 3644, 5961, 7046, 2901, 4561, 98, 3608, 9091, 5251, 5119, 8736, 7031, 6644, 9645, 9142, 7662, 5962, 6035, 628, 9306, 4630, 2060, 8777, 1166, 8182, 2988, 8233, 5248, 9324, 3240, 789, 409, 399, 1961, 8827, 9507, 6871, 880, 7757, 1694, 2909, 5966, 5787, 7866, 5080, 8324, 7120, 6357, 6170, 4070, 441, 9015, 5254, 3356, 5711, 9602, 5229, 9963, 4373, 7938, 8441, 6080, 7673, 4327, 8955, 7379, 695, 9257, 712, 1695, 8516, 87, 5127, 5715, 5360, 1737, 5407, 7503, 8949, 9408, 5502, 2664, 5320, 6292, 7665, 128, 8212, 591, 4394, 3994, 7531, 8556, 8294, 9751, 3126, 2776, 9058, 9242, 7203, 4060, 9061, 3797, 1769, 3380, 2058, 181, 705, 6797, 8877, 463, 9127, 5463, 4022, 6811, 6121, 8513, 7112, 4061, 9974, 6334, 1271, 8805, 151, 1810, 6888, 2801, 6428, 1650, 3479, 810, 3780, 2941, 8057, 8518, 3742, 7986, 2314, 1213, 3880, 4417, 1665, 8303, 4247, 2015, 3406, 8084, 3333, 3197, 5245, 8105, 6522, 7549, 7500, 6388, 4644, 7872, 8097, 1080, 3425, 7124, 9839, 6985, 7711, 2321, 9640, 333, 2457, 4504, 4148, 9189, 2641, 1759, 4602, 1439, 4582, 5569, 5050, 679, 5078, 2028, 1898, 9259, 1500, 2734, 3732, 6008, 9018, 900, 6693, 5535, 9021, 1655, 2733, 1499, 8532, 2824, 8420, 8008, 3307, 6833, 7472, 3291, 7984, 3528, 316, 1999, 3454, 4834, 6679, 5108, 4407, 6904, 2958, 4575, 8491, 278, 6909, 2536, 9316, 6489, 1588, 7906, 985, 4885, 4120, 2418, 3641, 9722, 7648, 8393, 4665, 906, 2478, 8968, 3515, 4114, 471, 2013, 4162, 2052, 6656, 2004, 5601, 7208, 6433, 1912, 3482, 7128, 3486, 4255, 466, 752, 9425, 6903, 866, 7138, 6940, 7070, 1937, 7011, 5014, 2497, 1981, 3980, 8418, 6873, 9703, 7800, 2103, 4397, 9652, 2646, 6479, 5828, 4358, 202, 7685, 4346, 6912, 5178, 5394, 9205, 4305, 3396, 1877, 5700, 9797, 6914, 6618, 644, 1646, 2240, 1598, 1712, 4526, 9677, 2243, 3224, 3441, 4150, 3355, 9397, 4326, 7420, 1277, 5297, 3850, 1507, 6537, 6930, 2979, 3220, 4666, 476, 9253, 6666, 5971, 4411, 6782, 599, 7037, 1643, 434, 5848, 9580, 6917, 4230, 2828, 7677, 1401, 5309, 1060, 6210, 1433, 9434, 7617, 492, 4732, 6185, 220, 6367, 6691, 1245, 9565, 7366, 3972, 4435, 2073, 6789, 5311, 9906, 1551, 706, 5756, 6770, 1327, 7231, 3774, 6174, 425, 7779, 5388, 8285, 8818, 5294, 4310, 7533, 2448, 8429, 4784, 7384, 7105, 9697, 1350, 7705, 7155, 7915, 9572, 3242, 944, 8277, 3505, 9137, 4092, 2838, 9986, 5874, 6065, 240, 1863, 4324, 6799, 8672, 5834, 5335, 1611, 4522, 6276, 9248, 233, 1270, 629, 7075, 9856, 8219, 361, 3212, 8954, 8484, 9804, 1174, 93, 9840, 590, 6506, 8070, 6761, 3349, 205, 7279, 729, 6760, 5564, 4321, 4787, 6995, 4883, 4046, 2522, 4569, 5748, 3939, 6084, 7051, 2068, 6913, 4093, 835, 9276, 4220, 474, 2821, 9563, 856, 6750, 64, 2622, 231, 5566, 256, 5136, 4595, 7241, 5150, 8554, 8344, 2939, 3614, 7168, 6612, 7245, 8578, 7215, 7547, 5083, 140, 817, 3923, 8234, 7383, 5112, 5399, 2139, 4511, 5514, 9603, 3878, 8332, 808, 8191, 693, 575, 627, 2183, 2899, 224, 522, 1652, 1377, 6973, 3075, 7428, 4617, 9995, 8601, 4054, 284, 7855, 4898, 1991, 3215, 7794, 9377, 495, 2764, 7684, 8780, 3984, 3132, 3670, 4142, 1250, 7015, 9288, 3481, 1873, 1574, 5763, 7870, 9055, 5444, 3960, 6371, 5339, 3620, 6865, 653, 8032, 2484, 7593, 6513, 8394, 8190, 1903, 6945, 9598, 2872, 2150, 9247, 5162, 9361, 3910, 8685, 533, 797, 396, 7331, 5193, 4254, 4982, 9695, 8837, 6550, 1305, 2908, 3833, 6776, 724, 7802, 5713, 4066, 6420, 5881, 8025, 2009, 3600, 573, 317, 54, 204, 1100, 1333, 3731, 5048, 6135, 3320, 6324, 8020, 9389, 565, 1659, 2069, 6327, 5686, 2571, 9910, 4226, 359, 9729, 7622, 9003, 7647, 1871, 5753, 6033, 2161, 4826, 5512, 640, 3146, 6702, 3143, 1034, 3301, 8640, 3538, 2736, 4963, 5859, 6861, 8002, 158, 4833, 7905, 6694, 6557, 8300, 5100, 2947, 2606, 6255, 1420, 5503, 9542, 2504, 166, 1179, 5994, 8006, 4091, 6731, 2691, 7595, 6533, 5241, 8162, 7518, 3297, 6297, 8854, 461, 1480, 3827, 3759, 5234, 4080, 9243, 9323, 6551, 1223, 7843, 7337, 7097, 9158, 156, 1324, 5292, 4814, 8087, 6606, 1399, 5852, 6314, 6085, 5526, 2340, 770, 7650, 50, 5926, 9112, 8847, 6380, 4167, 7881, 404, 3550, 1747, 1896, 4805, 556, 6613, 9510, 2771, 2176, 2178, 4873, 3253, 4278, 3512, 6997, 1029, 435, 9537, 6980, 1537, 7117, 348, 6031, 7909, 9467, 8886, 3411, 8850, 3432, 9945, 3992, 6318, 5031, 3811, 1660, 2715, 283, 6113, 5769, 1785, 4692, 978, 8299, 349, 9950, 5911, 1406, 3063, 3258, 3203, 1291, 7524, 8773, 483, 2757, 664, 4272, 8103, 9240, 7950, 8230, 7877, 1935, 8505, 4675, 3149, 6941, 5937, 3089, 1805, 6088, 7733, 786, 9854, 3067, 813, 2400, 3360, 6132, 6798, 4844, 825, 7235, 6231, 5271, 2610, 3168, 7690, 6293, 7412, 6011, 3259, 1087, 1625, 2722, 6662, 7656, 7103, 5795, 7087, 2276, 395, 7493, 3998, 7372, 8683, 9754, 285, 6157, 2154, 5110, 4938, 9050, 3899, 4855, 7458, 527, 7919, 5362, 8605, 4466, 8492, 61, 4710, 9636, 2506, 3227, 2247, 9787, 2649, 4303, 1725, 1933, 3239, 831, 4887, 2030, 7430, 2726, 5824, 9302, 1431, 651, 1724, 8395, 8590, 1361, 2100, 5415, 6123, 8911, 3993, 8658, 3520, 3100, 286, 449, 7687, 6808, 6844, 6187, 9365, 2523, 8935, 5838, 7250, 4069, 69, 6822, 5678, 2210, 8421, 3190, 147, 5173, 5954, 8660, 2642, 1541, 8490, 5302, 4649, 8953, 7330, 5217, 5878, 7669, 8615, 7377, 2940, 1633, 6049, 9107, 4514, 5946, 3847, 5008, 2728, 9457, 6016, 3839, 4, 2598, 6981, 159, 766, 4788, 8060, 7483, 8175, 4570, 2971, 1173, 4399, 1987, 157, 9971, 8308, 9614, 295, 7737, 6435, 2168, 4365, 6184, 2348, 7029, 8663, 2035, 1761, 4211, 3938, 4935, 6354, 4803, 6563, 9658, 1015, 3604, 9482, 7353, 2741, 7599, 8458, 549, 4134, 1216, 8471, 3800, 1307, 8345, 4962, 9071, 509, 3480, 7511, 6161, 7924, 4856, 6441, 6866, 8495, 7642, 6094, 3352, 6116, 8778, 1339, 6918, 3092, 3165, 6697, 4616, 4567, 7045, 1849, 7101, 1126, 4980, 5432, 1369, 7316, 6250, 7309, 5719, 6869, 1210, 480, 534, 4427, 4996, 3424, 9113, 8651, 5928, 6153, 8555, 3219, 5861, 9915, 2343, 4165, 1386, 4319, 3959, 2830, 83, 23, 3693, 4551, 4017, 4659, 3810, 7649, 7787, 5141, 8457 ], [ 7659, 2882, 3633, 2470, 982, 3887, 1425, 7637, 5587, 5462, 7460, 6374, 3204, 6966, 2285, 3532, 5089, 954, 9114, 3007, 1208, 3010, 4015, 931, 7930, 4038, 8881, 7399, 2647, 9120, 1704, 7373, 1623, 3722, 3213, 2658, 1998, 7187, 4627, 9190, 2166, 4721, 431, 3478, 5684, 1106, 528, 7931, 2144, 4151, 6954, 3947, 5779, 6141, 9372, 2820, 1858, 913, 5603, 4559, 7635, 840, 9004, 9862, 7153, 2639, 5709, 9977, 5940, 7340, 4702, 2324, 3214, 3816, 1573, 6258, 8983, 979, 4219, 4634, 6204, 6864, 7936, 5772, 6764, 8268, 1783, 25, 2570, 5508, 9020, 3314, 7959, 6288, 5449, 2752, 6555, 9956, 4723, 3142, 456, 5306, 2856, 9409, 703, 9185, 1463, 6840, 2976, 3509, 5980, 8632, 3251, 1634, 8870, 2789, 3842, 765, 9534, 1239, 9838, 1757, 6721, 2376, 9070, 3625, 8473, 550, 3988, 2577, 5883, 2191, 1042, 9173, 199, 6620, 1084, 43, 8609, 6471, 164, 9052, 5278, 7256, 3150, 799, 2725, 7610, 9300, 4530, 9068, 3377, 4615, 2375, 33, 4401, 2503, 6908, 742, 3116, 1806, 7891, 5215, 2120, 9880, 5132, 2299, 6594, 7641, 1950, 2140, 3057, 1766, 6183, 4084, 969, 4290, 6813, 8820, 3105, 4990, 3433, 9900, 1316, 6827, 5137, 1435, 6416, 3986, 9593, 4635, 2194, 9079, 8731, 8836, 3945, 8213, 845, 1990, 1016, 707, 5646, 5612, 1919, 4888, 9876, 4906, 5330, 597, 7062, 1393, 1628, 2441, 1295, 5906, 8360, 107, 4425, 4005, 4203, 7911, 8874, 310, 8501, 1510, 4239, 1888, 8468, 9059, 6413, 4862, 218, 2866, 7328, 6455, 6643, 6791, 5670, 1359, 5975, 4524, 9193, 8217, 4097, 4286, 9513, 8964, 5161, 7451, 9961, 7325, 4757, 5493, 2748, 226, 112, 3807, 45, 6673, 3927, 9692, 7901, 4560, 6703, 8472, 3070, 5701, 8158, 9305, 1710, 956, 3832, 8845, 572, 3704, 7479, 1409, 2839, 5802, 9557, 4025, 6939, 7394, 6780, 8543, 2162, 5492, 4752, 3357, 586, 7017, 8788, 6037, 5649, 3829, 6127, 7100, 7244, 3221, 7619, 8262, 6302, 174, 5768, 6577, 1729, 5474, 331, 1183, 2768, 5990, 186, 9648, 4056, 1735, 2041, 5931, 4542, 7861, 4537, 52, 7739, 6341, 8741, 7888, 867, 711, 32, 6409, 4384, 8637, 3500, 264, 7050, 6115, 6998, 9486, 1460, 5135, 7202, 265, 4146, 9728, 2112, 5729, 3647, 2723, 4765, 6890, 5658, 7795, 3801, 709, 8116, 2611, 6396, 6999, 2968, 9063, 2871, 741, 6442, 5457, 9032, 4349, 1883, 666, 4274, 9589, 6472, 9668, 4166, 3766, 7860, 5221, 4438, 9790, 9405, 1705, 6518, 5426, 5761, 1078, 1005, 8630, 5327, 9028, 2121, 535, 8260, 7626, 3858, 3558, 2880, 1989, 2781, 3061, 1089, 4135, 3018, 8523, 3508, 884, 8573, 3207, 2491, 6826, 8572, 7490, 3646, 4586, 2350, 3379, 5745, 5739, 6636, 8503, 2089, 9274, 888, 1777, 5907, 5633, 7667, 3109, 4594, 5812, 99, 0, 9960, 9483, 3272, 427, 1667, 6956, 8463, 4668, 7437, 9235, 9002, 5231, 3905, 7960, 963, 601, 2685, 3340, 6211, 9890, 4062, 945, 1959, 2966, 8275, 5313, 9320, 419, 9087, 7047, 5276, 6186, 4149, 3804, 9643, 8477, 8336, 1030, 896, 6117, 4208, 9578, 5626, 3963, 3872, 3232, 281, 521, 9010, 3902, 8144, 8374, 6125, 5699, 2957, 2460, 2660, 2746, 9118, 5574, 9962, 5712, 7980, 2853, 1238, 3948, 8455, 5563, 8946, 8800, 9732, 7537, 7442, 2655, 257, 7944, 48, 8165, 1118, 3120, 9705, 5483, 7507, 5258, 5908, 4998, 6263, 6678, 8185, 3951, 6010, 8269, 811, 5723, 2002, 7932, 9065, 132, 5755, 276, 6660, 9835, 7298, 5417, 6624, 9218, 1326, 9549, 916, 53, 3830, 2753, 8236, 3443, 4916, 1831, 9273, 9331, 2656, 774, 5943, 2520, 3570, 7312, 4978, 7228, 9575, 7160, 6958, 5688, 8761, 9207, 5844, 3631, 1388, 9919, 2172, 3874, 9872, 5131, 7586, 5556, 5144, 4871, 9870, 3013, 5935, 1256, 7413, 5695, 345, 2860, 3492, 7561, 1954, 2782, 5395, 9739, 8074, 195, 8140, 995, 8966, 718, 3354, 6109, 4849, 3255, 65, 7810, 4587, 4486, 5657, 3871, 129, 1450, 5259, 6269, 4362, 684, 3156, 5551, 9761, 2573, 9891, 1031, 9901, 9117, 1176, 7797, 5145, 8223, 9805, 2051, 1459, 9585, 6432, 6485, 6166, 3851, 6875, 4671, 9412, 726, 5552, 9053, 3078, 732, 655, 5030, 9145, 292, 5239, 7137, 9037, 6653, 5181, 1743, 6855, 6328, 2671, 5148, 923, 8924, 8901, 9678, 9934, 3046, 8340, 173, 784, 2815, 1484, 4882, 4429, 5991, 5613, 7918, 6949, 3166, 8679, 6893, 9810, 3031, 1252, 2537, 637, 9855, 7820, 632, 1556, 6368, 918, 7478, 1261, 374, 7824, 5964, 9411, 8078, 3222, 9177, 9864, 5034, 1610, 3384, 6346, 6738, 577, 2887, 9491, 4215, 3418, 5647, 7691, 3623, 8040, 7450, 4839, 4989, 4532, 5752, 7196, 1760, 965, 2006, 1630, 9596, 6872, 7884, 3489, 1226, 7102, 2657, 2359, 1549, 6464, 4904, 3664, 9279, 8274, 9187, 6474, 869, 3399, 8500, 9929, 350, 4252, 279, 4861, 7130, 9820, 9431, 6042, 5386, 1802, 9982, 3634, 1778, 6477, 7907, 9752, 1670, 6603, 5725, 8037, 6605, 18, 4458, 7814, 9391, 8132, 5179, 2799, 3179, 793, 1317, 8349, 3263, 5672, 6347, 3781, 7572, 2425, 4836, 1293, 1018, 4353, 2475, 5396, 7338, 7908, 3592, 6291, 8168, 71, 1367, 2950, 5027, 8595, 3645, 6296, 4625, 7482, 5232, 95, 826, 9241, 1381, 6499, 1688, 9251, 4792, 9847, 4389, 2873, 7534, 7263, 2456, 8136, 5242, 5635, 9948, 4347, 6587, 1125, 5039, 9897, 4771, 9939, 8994, 1114, 5528, 7287, 6457, 7854, 6877, 5648, 2569, 6870, 974, 4342, 9861, 5675, 1776, 6408, 3194, 9497, 8333, 8439, 6775, 6655, 5228, 3306, 9151, 1952, 6707, 2021, 2519, 2300, 1534, 5400, 6580, 5737, 5915, 1152, 7920, 871, 966, 9350, 2277, 6356, 9417, 2152, 8250, 1717, 1228, 2223, 8906, 1199, 5273, 7271, 253, 736, 9628, 5115, 4001, 4205, 5275, 1424, 6571, 648, 3148, 9108, 8834, 8152, 8558, 1000, 1918, 4845, 2576, 6339, 8115, 9299, 4489, 3139, 4016, 3583, 3035, 9267, 9353, 4954, 948, 2053, 4673, 6398, 5381, 3447, 3056, 73, 6197, 4182, 1799, 7290, 7563, 4718, 5523, 7743, 15, 1865, 6040, 4749, 9385, 8797, 6365, 807, 9916, 5331, 3540, 5114, 9143, 6456, 3461, 1658, 6638, 3064, 4484, 7111, 2216, 1407, 6310, 506, 6167, 7470, 1956, 3750, 3448, 8309, 1026, 935, 520, 9271, 2102, 1429, 9868, 9564, 6992, 8357, 2643, 4509, 4867, 2091, 5055, 6261, 2833, 5982, 6523, 6317, 8829, 4271, 1107, 1180, 758, 7299, 4676, 5390, 2001, 7679, 8972, 8051, 3840, 6411, 6507, 8559, 3421, 3108, 1285, 4248, 9292, 9094, 1978, 9655, 7772, 8903, 9110, 3022, 385, 5476, 5304, 9470, 6099, 7682, 8315, 8151, 3375, 1775, 622, 8282, 4777, 6815, 161, 5863, 1921, 160, 1764, 8864, 7805, 1876, 2978, 9545, 787, 31, 4423, 1911, 1371, 1638, 4264, 5897, 2360, 4986, 3566, 214, 8511, 2185, 2496, 2711, 6074, 3513, 1237, 2095, 2513, 1330, 6351, 9311, 4716, 3365, 5557, 9669, 2291, 6138, 9533, 1733, 2071, 4988, 1690, 37, 3325, 4523, 400, 3534, 6478, 1205, 4822, 5925, 870, 4058, 9528, 5771, 7374, 3072, 9232, 6729, 5507, 5823, 6753, 9012, 4828, 7842, 3390, 2572, 3241, 801, 312, 8256, 4731, 3468, 7897, 7184, 1329, 9887, 8589, 3445, 6856, 5160, 2509, 3663, 8824, 4780, 5836, 3217, 3966, 8014, 9626, 5107, 7981, 7443, 7310, 6716, 841, 1833, 7149, 5208, 9260, 5891, 739, 8072, 3610, 3036, 1744, 4929, 3086, 9562, 4704, 740, 2218, 6530, 5650, 8362, 9147, 2082, 2498, 9905, 4744, 9407, 5088, 1544, 8494, 9501, 7365, 6765, 5839, 5568, 6502, 5403, 2282, 5930, 3140, 3666, 7278, 1340, 8298, 7942, 5158, 9806, 8792, 7084, 6460, 7301, 7465, 9967, 8110, 3209, 4995, 5821, 4344, 7286, 6124, 1198, 3006, 6350, 4465, 4379, 3904, 3023, 2547, 8545, 890, 1265, 2794, 5963, 544, 2149, 5066, 5284, 6171, 2889, 8092, 864, 8209, 538, 1525, 1465, 6946, 8752, 315, 4934, 3775, 2689, 5550, 2885, 2272, 7910, 3205, 1365, 5781, 2990, 9447, 3582, 7025, 378, 1946, 5424, 9877, 950, 9031, 6093, 7763, 2298, 7514, 3037, 9764, 1997, 1909, 1051, 2895, 123, 1561, 5916, 8252, 7099, 8597, 8266, 959, 7115, 1385, 4263, 1154, 3308, 8940, 1356, 5663, 5383, 248, 587, 5288, 2713, 5662, 6402, 7492, 8598, 1675, 4445, 55, 5481, 2932, 3106, 6060, 5425, 5318, 3469, 4136, 769, 8621, 5932, 5593, 5198, 7261, 9083, 6758, 137, 5734, 3268, 1504, 9911, 9842, 1508, 304, 39, 2672, 820, 2124, 4235, 4473, 3257, 5544, 4798, 8474, 2987, 7024, 6658, 8933, 3567, 4257, 3857, 9163, 6142, 212, 8127, 5706, 3123, 2135, 818, 7382, 6348, 5436, 4576, 7280, 442, 4767, 1019, 9465, 3094, 2079, 4328, 7871, 720, 3944, 2915, 642, 311, 2142, 3720, 2398, 6286, 2924, 4743, 1795, 4789, 7927, 1319, 6752, 5184, 5489, 7945, 1071, 8440, 6545, 3341, 2010, 5841, 9176, 7001, 3095, 9973, 4850, 5402, 6072, 4971, 3346, 6757, 5349, 6818, 440, 3110, 2329, 7193, 2228, 3977, 5788, 6195, 5776, 4452, 8774, 7195, 3765, 8896, 2208, 1846, 5203, 7480, 5308, 7040, 5608, 4350, 2800, 364, 2371, 5867, 2561, 1948, 90, 1543, 8434, 3853, 9832, 3638, 3949, 9103, 4436, 8937, 2338, 7157, 5130, 394, 2625, 9869, 7792, 3846, 5533, 8044, 6192, 2422, 4238, 2803, 1355, 8088, 5209, 7389, 6251, 4497, 2588, 4454, 5750, 1135, 9736, 103, 3270, 1470, 9378, 5423, 873, 9290, 8947, 6876, 6370, 2797, 1302, 8276, 2870, 771, 6722, 4763, 5934, 3636, 1434, 3576, 2, 4754, 4614, 5625, 2945, 6382, 9693, 9566, 8692, 9836, 7664, 9656, 2923, 47, 3184, 5623, 849, 973, 2482, 8467, 8010, 5163, 972, 5893, 8629, 3388, 1567, 2531, 9481, 9277, 3855, 139, 8128, 8919, 4176, 1558, 3941, 1812, 839, 4662, 850, 4981, 1260, 9914, 309, 7417, 8744, 6342, 8145, 5102, 9710, 1108, 1387, 2474, 9954, 8448, 3096, 5451, 9727, 4351, 9546, 5924, 499, 2292, 7178, 8638, 8676, 6986, 5530, 4911, 2290, 3262, 9270, 2081, 1666, 8614, 8688, 1342, 3982, 3348, 5583, 8962, 1770, 306, 5002, 4312, 329, 3637, 7590, 1177, 9843, 8167, 5960, 4190, 7929, 3809, 1928, 4434, 702, 3300, 9312, 5409, 190, 7238, 6312, 8674, 2306, 7571, 9419, 2385, 2568, 3958, 8767, 7738, 4852, 7815, 3381, 9474, 2763, 9231, 2443, 5018, 4793, 3473, 2198, 8153, 7991, 1232, 3030, 7462, 7113, 2629, 9802, 1683, 412, 9170, 6333, 2080, 6898, 526, 8086, 7883, 145, 6104, 1069, 3577, 960, 5644, 8730, 7798, 4340, 7258, 691, 8592, 5187, 7598, 6859, 4287, 9293, 3556, 3372, 2356, 4449, 2557, 4658, 2157, 625, 8444, 9978, 3897, 1975, 5622, 6743, 4543, 2712, 5036, 860, 5829, 4082, 1684, 3093, 861, 704, 4455, 2323, 1458, 7816, 4260, 5257, 3889, 2778, 239, 5482, 6604, 5876, 5845, 8582, 9096, 5006, 4155, 4697, 1494, 2085, 8689, 4714, 6708, 2604, 8998, 5121, 2578, 7497, 1320, 8735, 5125, 8721, 2409, 338, 886, 7686, 8378, 4222, 1698, 5909, 1402, 7176, 9168, 4010, 2186, 7487, 342, 3462, 2538, 4125, 2772, 6252, 1095, 133, 548, 3136, 267, 4395, 3114, 1789, 3477, 7609, 6536, 1552, 7893, 7498, 8728, 8000, 9991, 9049, 6812, 4301, 8652, 5531, 1629, 1565, 9591, 3621, 6830, 8104, 9845, 5645, 4937, 6839, 6054, 369, 5621, 836, 551, 1132, 5268, 8470, 8335, 6544, 6418, 1033, 8961, 3201, 934, 4571, 4371, 7055, 1325, 2084, 8239, 9301, 6628, 2347, 9879, 2405, 3144, 1068, 3694, 5519, 6326, 3756, 6828, 7226, 238, 3005, 2268, 9970, 8524, 9815, 2046, 8096, 7717, 3860, 7606, 3856, 8764, 1826, 7346, 7836, 1892, 8900, 5525, 2805, 747, 7008, 1251, 9351, 203, 494, 2674, 6120, 5374, 5901, 9943, 5894, 1718, 997, 8858, 542, 2086, 4439, 3723, 4306, 5667, 6289, 545, 8963, 4087, 9453, 2891, 334, 8698, 2170, 8612, 5042, 4421, 5404, 1376, 6553, 5950, 8059, 1527, 620, 8139, 7021, 7190, 7974, 8243, 1139, 3629, 7175, 8016, 4488, 1493 ], [ 4546, 4603, 2255, 7306, 2657, 352, 3543, 5486, 2218, 5312, 7387, 5352, 8787, 7718, 40, 4636, 4995, 8647, 7682, 8119, 2036, 7396, 7198, 6742, 6158, 414, 6334, 631, 7321, 628, 8209, 9843, 2111, 7590, 9431, 7377, 1043, 7687, 9886, 7987, 922, 4870, 3866, 7169, 6494, 7320, 555, 6840, 1095, 1260, 2397, 3991, 8959, 2832, 9239, 4666, 174, 5215, 6368, 5463, 1128, 4925, 8784, 7618, 3375, 4444, 9103, 4693, 3063, 7079, 4095, 7599, 3001, 9583, 3604, 753, 2983, 4332, 4172, 9493, 2192, 8424, 1752, 383, 5383, 2742, 3188, 450, 6450, 2690, 1341, 121, 2569, 4942, 9443, 9508, 1946, 3913, 9810, 9011, 4221, 2586, 117, 8755, 4813, 457, 3881, 9775, 1505, 6471, 9449, 9518, 7207, 4297, 6718, 7173, 1479, 4234, 560, 2924, 7390, 6785, 1754, 7680, 1532, 9913, 9461, 8963, 2572, 2669, 498, 2609, 5823, 7367, 1183, 1159, 9303, 3514, 4934, 7020, 6867, 9243, 7645, 5687, 3741, 5656, 714, 1966, 5287, 9094, 6013, 449, 5934, 4814, 6567, 2745, 907, 3242, 7744, 9204, 3479, 1438, 5803, 9608, 9888, 4289, 4191, 8517, 9264, 2863, 8553, 4565, 4161, 6688, 8414, 5075, 3086, 7293, 1282, 3609, 3020, 5475, 2012, 8292, 3345, 7028, 5014, 1149, 49, 3742, 5237, 3204, 231, 735, 9057, 2418, 4951, 8991, 5888, 4294, 9048, 323, 1925, 6599, 8129, 9309, 4457, 6771, 2249, 939, 408, 4100, 3668, 487, 5618, 7148, 9086, 7960, 3735, 2752, 4450, 9327, 863, 12, 8864, 2484, 8668, 2487, 2975, 6156, 9607, 3665, 6978, 8350, 4088, 3284, 6795, 5636, 6936, 2615, 5626, 5194, 8, 252, 6659, 3120, 8261, 397, 1114, 7023, 144, 1867, 1405, 8815, 1510, 9754, 6530, 5828, 8557, 3142, 535, 5335, 5454, 1672, 1117, 7497, 9009, 686, 6284, 5209, 2326, 9515, 9928, 4581, 8839, 9109, 993, 7655, 7976, 3990, 8795, 4514, 7366, 1770, 8375, 7723, 2672, 2494, 3224, 9936, 4677, 5831, 4104, 37, 8783, 3335, 5290, 6466, 1940, 386, 1013, 3134, 2361, 429, 667, 8786, 9092, 754, 5724, 7245, 9280, 1107, 7165, 5458, 3231, 5211, 8394, 2174, 6349, 1844, 1328, 2132, 7435, 6593, 2530, 4174, 494, 4185, 4065, 2866, 9752, 2757, 4994, 800, 1238, 2053, 9833, 3726, 557, 2106, 2528, 9185, 4083, 7503, 5114, 9291, 7364, 9097, 4599, 8521, 694, 8658, 4637, 7583, 6339, 2147, 8085, 1584, 7423, 4591, 4789, 7280, 1950, 722, 493, 6204, 5987, 5586, 1360, 7057, 9519, 251, 1583, 9041, 2413, 4142, 5381, 4649, 7231, 782, 665, 880, 4310, 2965, 9996, 7291, 4794, 7234, 2033, 6433, 5514, 2424, 9182, 1619, 7578, 2079, 2071, 9147, 7622, 5908, 9625, 9674, 9157, 4312, 6347, 1621, 2524, 7726, 1462, 9468, 4465, 4116, 8714, 1602, 5845, 5655, 3083, 5355, 3387, 2698, 4235, 5558, 4464, 837, 9089, 8017, 9072, 6791, 7214, 574, 4816, 1914, 2254, 8638, 5678, 8709, 2049, 2087, 5679, 3776, 2370, 123, 9893, 2139, 1943, 1435, 4061, 4232, 9403, 289, 8318, 4096, 5243, 977, 4886, 1705, 1922, 3420, 6224, 6988, 6748, 1902, 6833, 4063, 6484, 1285, 5492, 7082, 6023, 530, 7490, 7155, 9, 8826, 4823, 9940, 824, 3691, 9236, 978, 9374, 8005, 8187, 6446, 2302, 7623, 4193, 5820, 9183, 3594, 7074, 5365, 4981, 9288, 4835, 8305, 3245, 368, 3760, 568, 7376, 8090, 7873, 3062, 8791, 6712, 1010, 3219, 6303, 4572, 7171, 9462, 2616, 2234, 5747, 9207, 9498, 9840, 9252, 2588, 1426, 1444, 3110, 8833, 7866, 7441, 8246, 2950, 2108, 3645, 5055, 2726, 648, 3448, 6975, 2210, 3855, 5628, 5141, 6716, 6536, 6080, 8122, 5227, 4703, 8323, 6856, 829, 1295, 9318, 7163, 3777, 8748, 1432, 307, 2786, 1493, 4609, 7772, 2929, 5097, 8403, 3365, 5450, 6247, 9341, 5163, 8578, 8301, 4114, 7107, 7904, 7429, 664, 9685, 8642, 2316, 4943, 6388, 6893, 9574, 8855, 7034, 9417, 974, 3727, 839, 2762, 7795, 5313, 4524, 8822, 3941, 6857, 7972, 5279, 7432, 2157, 7893, 9045, 5049, 193, 9643, 5472, 6463, 2123, 9646, 5190, 5210, 9830, 284, 2009, 3511, 5659, 9499, 6720, 9283, 4998, 6427, 3249, 6981, 3562, 8686, 807, 1918, 3704, 8303, 2652, 2943, 5295, 5764, 143, 9901, 7118, 6949, 3870, 7137, 1252, 5122, 7898, 6099, 7219, 6364, 6260, 9221, 4103, 620, 7001, 858, 7014, 7162, 6965, 7201, 4443, 5230, 4290, 6526, 9701, 550, 5183, 9176, 6987, 1189, 2273, 7830, 2364, 3524, 6081, 7084, 3017, 2458, 2477, 2061, 5100, 4068, 2138, 9520, 2122, 464, 5680, 4481, 5805, 7928, 6600, 1677, 2714, 8616, 1887, 2472, 4183, 8140, 9690, 3282, 915, 4795, 8887, 4001, 6326, 921, 9123, 3482, 5042, 7279, 2830, 3979, 5804, 8212, 845, 2540, 6513, 6213, 4828, 8111, 5323, 8985, 6641, 9811, 7427, 649, 8109, 6217, 2284, 3193, 5452, 1016, 7654, 562, 4744, 1569, 9471, 6563, 2065, 4086, 3133, 3628, 2536, 9084, 353, 8545, 6807, 4334, 1516, 6379, 4352, 5929, 4747, 4440, 182, 4785, 9716, 1052, 1993, 8069, 3310, 1788, 8649, 4908, 7145, 1476, 5201, 8031, 7250, 6651, 6360, 6467, 653, 6863, 5885, 1550, 864, 8433, 4913, 5675, 3438, 7910, 8378, 5639, 7956, 5889, 446, 3425, 8851, 9958, 7638, 9333, 5299, 3526, 4019, 2634, 9980, 8641, 5385, 1665, 1060, 2189, 2795, 6710, 1546, 1726, 7111, 8772, 7344, 2748, 972, 9446, 3044, 3927, 1681, 8393, 7806, 2173, 1193, 56, 6900, 724, 7166, 4682, 5262, 8547, 9139, 9054, 3757, 9723, 5892, 5779, 5883, 5468, 7334, 1018, 1609, 8188, 4904, 2442, 6272, 8488, 1050, 7635, 1205, 5518, 4702, 826, 6650, 8751, 4316, 3719, 958, 2029, 5635, 2848, 5858, 5754, 9675, 6008, 6237, 1857, 946, 5961, 3009, 4805, 7889, 7443, 3053, 5951, 3170, 5579, 3585, 2702, 8163, 2, 3640, 9704, 5103, 1323, 7899, 9732, 2829, 2631, 2497, 9945, 7533, 9278, 7479, 4025, 7222, 5812, 8739, 7994, 7691, 5623, 7000, 8274, 767, 250, 1233, 8848, 3820, 1297, 9699, 5176, 9495, 2869, 2976, 4390, 3382, 8125, 6171, 9909, 1336, 5761, 7775, 9206, 1685, 6417, 8149, 364, 5439, 2792, 9330, 8224, 1133, 1723, 196, 6577, 6040, 4967, 1979, 2737, 1719, 1120, 6521, 8360, 9756, 9737, 1601, 3385, 3085, 7589, 2489, 7196, 8555, 2120, 8689, 5253, 9347, 9604, 9915, 676, 6559, 99, 7996, 527, 7463, 5752, 8257, 936, 1651, 6497, 5071, 3678, 6179, 7352, 1643, 3128, 1352, 6647, 9254, 9464, 5422, 2890, 5460, 3329, 2327, 6091, 3958, 1889, 9760, 8873, 3177, 8386, 9210, 9334, 9887, 2608, 5138, 5711, 1658, 3808, 9366, 1845, 3967, 2927, 7175, 5712, 9882, 3680, 7540, 4284, 5027, 1362, 9974, 6532, 9101, 4259, 8307, 7209, 5559, 7282, 3569, 175, 1038, 9348, 1722, 859, 1215, 650, 4439, 1826, 9581, 1831, 404, 2148, 5319, 8348, 2937, 9355, 8404, 9839, 3780, 4672, 2990, 6858, 5877, 2614, 6560, 6266, 929, 2499, 7932, 4833, 670, 8876, 6197, 9456, 3264, 2685, 5483, 1644, 9765, 8463, 9137, 6859, 2502, 7993, 3428, 6157, 9805, 7122, 370, 2248, 6562, 8886, 7116, 6333, 1765, 5376, 9044, 6290, 6841, 8922, 9352, 6753, 3696, 2954, 1756, 8369, 2580, 1634, 7656, 8325, 6056, 6486, 2968, 4253, 89, 3580, 9127, 2112, 2268, 9360, 6545, 3025, 5004, 8046, 3932, 471, 3259, 4385, 4705, 545, 9806, 245, 8768, 4910, 2534, 2019, 3568, 3519, 3167, 4466, 8075, 8982, 2491, 9985, 3908, 585, 2103, 2810, 1423, 3701, 2298, 1144, 1486, 8470, 1003, 1230, 7828, 5720, 1225, 162, 736, 9614, 2874, 6012, 6711, 5392, 8094, 6235, 6624, 647, 5701, 8852, 1587, 1138, 4596, 460, 8723, 1955, 3996, 4407, 7706, 4371, 7289, 5087, 7005, 5324, 4827, 4711, 8227, 9895, 6098, 9796, 8811, 7174, 6386, 969, 6759, 6724, 3867, 6741, 8116, 2282, 7106, 1410, 9908, 5550, 9979, 285, 9384, 2815, 2967, 9671, 8330, 5465, 4261, 1403, 5519, 9613, 8194, 748, 8914, 1875, 3352, 2374, 6036, 1829, 8693, 738, 6477, 1264, 8317, 8676, 9389, 2162, 4537, 2080, 8942, 2166, 9550, 8613, 9681, 7531, 3216, 441, 3703, 2043, 6542, 3509, 3162, 1724, 5162, 2764, 8577, 9452, 4013, 6315, 6077, 3440, 531, 4605, 9800, 6119, 9033, 3761, 3314, 2048, 8961, 4774, 6715, 9276, 7401, 682, 882, 9061, 7517, 9742, 8673, 2348, 4011, 902, 755, 6940, 3100, 4726, 430, 3139, 3152, 8156, 8971, 3960, 463, 4696, 4877, 6313, 9924, 6068, 5351, 1068, 6365, 228, 4860, 4770, 9257, 947, 4411, 8888, 9825, 912, 5944, 7594, 3427, 9365, 2660, 2116, 5079, 818, 6133, 3788, 1932, 3074, 5759, 4771, 7881, 9170, 9822, 3305, 544, 663, 7553, 8453, 4715, 6409, 9339, 1221, 2700, 4323, 5425, 5247, 4730, 9978, 3171, 2905, 9655, 424, 1911, 2346, 9023, 7950, 411, 651, 2938, 2068, 9253, 2957, 1485, 483, 6460, 7651, 3028, 4137, 2422, 2696, 9155, 9648, 6221, 1686, 1073, 9382, 7438, 8979, 9066, 2812, 5986, 1786, 5758, 4542, 1811, 2373, 2196, 3014, 5401, 1357, 3460, 2241, 3707, 5394, 1792, 3026, 1136, 6233, 3047, 2077, 8633, 4507, 1317, 1045, 4641, 1301, 9605, 7467, 7140, 7779, 8497, 3893, 9702, 6475, 4756, 5195, 4092, 2417, 6685, 3172, 2947, 3576, 1269, 7678, 3802, 8821, 7120, 2396, 7725, 5732, 5566, 20, 475, 7183, 2985, 1809, 4251, 7770, 6633, 6250, 4847, 9774, 9859, 5997, 366, 6413, 9187, 8258, 5834, 8677, 5939, 3589, 3212, 3403, 4072, 4658, 4950, 9004, 6549, 5948, 4252, 8058, 3689, 626, 5510, 603, 6739, 5753, 9688, 4796, 5508, 2551, 5053, 3299, 6114, 6182, 1284, 3683, 7641, 4326, 1585, 3262, 1197, 6793, 8837, 7024, 3127, 3331, 4664, 3045, 7571, 7568, 7256, 8285, 3361, 5610, 7924, 273, 1970, 9494, 7211, 6843, 8587, 230, 7879, 1399, 576, 2034, 6809, 3662, 395, 5972, 6722, 2492, 8387, 8283, 931, 1556, 318, 7473, 8844, 1261, 9771, 7317, 8626, 5567, 1661, 7048, 1241, 710, 9637, 2982, 6369, 8276, 2891, 2311, 4222, 7025, 7717, 6509, 4766, 3846, 6683, 8655, 7271, 7853, 78, 8042, 8061, 39, 9718, 9571, 6534, 4916, 2559, 772, 526, 8944, 281, 7799, 6395, 5528, 1249, 9687, 3959, 7426, 6924, 4055, 6725, 7927, 7087, 312, 5170, 4331, 5795, 6611, 4213, 5145, 2934, 2695, 4659, 1098, 6030, 5582, 9051, 3540, 1460, 7351, 9144, 3485, 7789, 74, 3073, 420, 6074, 9301, 8622, 2482, 4125, 4131, 787, 662, 813, 1186, 3029, 2902, 320, 3871, 3597, 4538, 8722, 1171, 4175, 5011, 4243, 7935, 6592, 9561, 4579, 4775, 3396, 72, 4321, 9244, 6479, 2244, 1255, 6631, 1455, 9850, 4045, 8988, 7065, 5150, 512, 7534, 3474, 897, 5288, 4368, 2813, 343, 9784, 2680, 1562, 6714, 3810, 9951, 4416, 9485, 5903, 2770, 2570, 1213, 8937, 1330, 5708, 1822, 9826, 5366, 3614, 8099, 1416, 5480, 3529, 4804, 6627, 2754, 5269, 8297, 9524, 3320, 7865, 8461, 2038, 8810, 1904, 6709, 2339, 4501, 9902, 1203, 3570, 8974, 9332, 763, 6576, 5650, 1492, 6535, 9242, 7405, 5782, 2042, 2321, 8618, 5166, 3481, 346, 2272, 6161, 5046, 5063, 793, 9458, 4169, 4256, 3408, 1633, 6082, 6543, 9554, 2618, 9307, 973, 1611, 2194, 9956, 1699, 9271, 8408, 7068, 269, 8744, 8891, 4433, 3656, 8456, 9939, 5387, 4511, 4429, 6996, 3099, 6803, 732, 7481, 9797, 3724, 7259, 4212, 4468, 9063, 2347, 9669, 3544, 5891, 177, 6022, 7815, 1956, 2914, 6704, 4454, 2556, 6404, 1084, 7525, 2473, 316, 58, 239, 5110, 8728, 8103, 636, 8170, 4199, 3021, 6828, 9590, 4809, 3327, 23, 4079, 2055, 5182, 5966, 6200, 3468, 9223, 315, 7574, 7301, 8980, 2603, 3772, 5300, 9175, 1441, 2728, 6229, 8251, 4361, 2888, 7469, 5413, 7724, 8908, 2716, 8871, 6116, 3537, 203, 9947, 2822, 135, 6972, 6565, 8053, 112, 6452, 6773, 7738, 8764, 268, 4940, 4842, 1286, 2399, 7407, 3039, 1008, 3362, 87, 1017, 2769, 7739, 8896, 8554, 4492, 2941, 1274, 4242, 1655, 2387, 3814, 9860, 7783, 3003, 3981, 1761, 9487, 3054, 9942, 3214, 5296, 2895, 6760, 3972, 2710, 6244, 645, 9121, 7138, 2290, 9268, 1580, 2317, 247, 1548, 4478, 1675, 9719, 8273, 8105, 7842, 8504, 637, 2666, 93, 3019, 5497, 6240, 1594, 3223, 6100, 5707, 685, 6468, 7270, 3145, 9534, 2852, 3630, 2882, 5822, 3783, 1760, 1948, 2274, 2332, 5871, 1134, 4892, 4007, 727, 8315, 4262, 7624, 890, 2292, 5882, 1420, 4348, 389, 9373, 9738, 2525, 4093, 4594, 2661, 8966, 2613, 4706, 6637, 4924, 8901, 7356, 8585, 876, 6825, 2081, 919, 2047, 4404, 4754, 8498, 1158, 979, 277, 2411, 4107, 2231, 3756, 6011, 3894, 9340, 9226, 4148, 5813, 3202, 6505, 3633, 2377, 1924, 5216, 5107, 9463, 2015, 3434, 8019, 134, 3418, 84, 5445, 1794, 7054, 8333, 1428, 3762, 4700, 9107, 7543, 3679, 412, 9249, 2724, 7412, 7875, 405, 5482, 6510, 3109, 4863, 3173, 6498, 2253, 4837, 1023, 5188, 534, 3832, 3027, 3149, 1759, 9514, 9600, 601, 3518, 5978, 4856, 4920, 4472, 8457, 3690, 6389, 9557, 1483, 3491, 5952, 2831, 3986, 3792, 8446, 4275, 1425, 5051, 6173, 1713, 8336, 1160, 8051, 7922, 8326, 8256, 4567, 3308, 6447, 6440, 3550, 9363, 4255, 9413, 8267, 34, 704, 3850, 2963, 7012, 2804, 3154, 1245, 3561, 3873, 4757, 7882, 3247, 7705, 6982, 7091, 9284, 1119, 5342, 5801, 1204, 9763, 2067, 488, 3410, 5469, 3087, 7213, 4834, 9453, 6318, 1892, 1997, 5245, 3306, 7612, 2699, 9142, 8478, 5326, 5689, 9610, 7330, 8286, 1575, 8921, 6342, 6827, 838, 9983, 8814, 4631, 4569, 611, 2149, 8510, 9326, 6747, 4112, 1999, 6805, 1081 ], [ 3061, 4737, 5276, 2602, 3694, 4031, 1660, 9521, 5173, 5728, 381, 9016, 8614, 2205, 3499, 5606, 5137, 3444, 227, 6461, 496, 3075, 1773, 500, 2134, 3911, 1481, 981, 7114, 9020, 1959, 4427, 6316, 9910, 4004, 8100, 8720, 9388, 2030, 6963, 8501, 7812, 6230, 4493, 7803, 4343, 9331, 4474, 8721, 8775, 5417, 652, 6211, 7545, 4132, 206, 9227, 8265, 8719, 2309, 2190, 7446, 3504, 4076, 4333, 2425, 5278, 3137, 9829, 306, 9578, 2887, 5632, 1348, 8788, 4935, 7382, 2351, 102, 703, 9205, 6944, 8020, 8217, 8275, 3010, 4058, 9812, 7303, 2835, 7615, 3653, 9427, 2784, 4064, 1912, 2287, 2452, 213, 472, 8955, 8651, 3804, 4585, 5911, 1849, 2549, 9753, 625, 856, 7855, 2198, 3412, 8353, 9218, 4389, 5116, 7359, 1704, 1058, 3563, 2734, 9878, 8173, 6878, 567, 5136, 9141, 1361, 8231, 4381, 8599, 4767, 6093, 1099, 7664, 5007, 4230, 3257, 9877, 9664, 1335, 9150, 6790, 5739, 4324, 7555, 9744, 7340, 9921, 9351, 4207, 8220, 4322, 4601, 8885, 5992, 9386, 4556, 6734, 2532, 4999, 3163, 4841, 264, 4069, 3663, 5531, 3934, 8632, 1272, 5015, 6531, 6291, 2662, 986, 21, 1429, 8096, 678, 7322, 7395, 9038, 7676, 3138, 2641, 1103, 5130, 356, 5734, 2090, 2803, 5621, 7413, 4614, 5870, 4825, 3672, 1190, 179, 4531, 3542, 2083, 6242, 1777, 1452, 2709, 7797, 9361, 9265, 2720, 8939, 5322, 4791, 1996, 9213, 4535, 4663, 1327, 2816, 7611, 2008, 8976, 5453, 6035, 8697, 4698, 402, 6934, 2539, 8328, 5358, 7110, 5595, 3079, 6883, 4138, 2204, 6507, 7854, 6860, 5573, 7871, 9404, 5391, 6130, 812, 4271, 3108, 5839, 638, 539, 6259, 7439, 2280, 4714, 7160, 8322, 2382, 9049, 311, 4475, 8271, 8169, 90, 799, 254, 178, 1172, 1998, 8202, 3050, 4751, 2388, 8397, 2837, 1907, 9192, 4761, 4054, 9233, 3837, 8508, 730, 9831, 4406, 171, 8471, 6421, 8366, 9275, 4578, 7823, 5584, 433, 517, 3055, 8884, 8015, 3795, 4516, 350, 6, 4611, 5781, 654, 776, 7746, 2208, 9012, 6665, 712, 2466, 6126, 6877, 332, 5878, 7223, 9201, 1278, 1349, 7316, 8926, 3183, 5127, 2775, 184, 1750, 5562, 3158, 2785, 7740, 4372, 9934, 5811, 5710, 9767, 6027, 6084, 6209, 7880, 3886, 886, 9399, 232, 2457, 6853, 6864, 1406, 7039, 8943, 4080, 3835, 9668, 6994, 8038, 9297, 7147, 7971, 3822, 5048, 6407, 5404, 4358, 5945, 7498, 1527, 2336, 2984, 6706, 4865, 6661, 6527, 6551, 2392, 1268, 5564, 6569, 5282, 6812, 8962, 4040, 6811, 2176, 4755, 5054, 4588, 4369, 2398, 556, 6935, 5214, 2005, 8671, 6885, 9640, 9434, 671, 5589, 5165, 7263, 8147, 1859, 8767, 4449, 4263, 4962, 6626, 9903, 7890, 4002, 2004, 7735, 9305, 6124, 9727, 8542, 249, 8511, 9162, 3720, 6406, 5677, 9740, 0, 7308, 3012, 8752, 7930, 4560, 3343, 1762, 1900, 6817, 4549, 9591, 6002, 4165, 1376, 5660, 3982, 2113, 5459, 9516, 2663, 8057, 7008, 8430, 1746, 1780, 1837, 2885, 2781, 9277, 4909, 4366, 9208, 8763, 4205, 6111, 8518, 8234, 8663, 9749, 9074, 9002, 8080, 4901, 4752, 260, 339, 4214, 7076, 2760, 3939, 4728, 8992, 5263, 3667, 8499, 4034, 9272, 9321, 9378, 9450, 1217, 7275, 4504, 8803, 2856, 9310, 1355, 7310, 6321, 5258, 2703, 5727, 6215, 4930, 3130, 3240, 8531, 1732, 1700, 6544, 2912, 4973, 7440, 1364, 8660, 563, 6871, 3032, 1271, 8968, 3066, 1075, 8071, 5171, 5428, 3954, 82, 3041, 7123, 8248, 1464, 2430, 696, 2400, 4660, 6265, 2612, 5565, 2040, 1027, 746, 2093, 737, 4202, 3378, 4724, 6663, 962, 7856, 9424, 2893, 5511, 4815, 4979, 6594, 835, 2823, 6634, 9703, 6794, 4115, 9871, 7626, 6403, 7455, 7829, 2060, 6227, 3625, 1571, 7524, 8073, 2404, 7581, 1370, 35, 3330, 7471, 1046, 6296, 265, 6745, 2341, 8294, 5039, 9855, 3492, 9138, 5745, 3466, 7800, 6694, 8570, 8104, 2992, 8627, 8948, 3564, 9698, 9319, 211, 1229, 3350, 5733, 4225, 7579, 9013, 6808, 1113, 1755, 794, 7043, 5476, 6167, 9395, 6727, 6311, 5061, 4421, 3952, 3430, 3487, 2276, 6564, 1385, 8144, 8605, 9060, 3901, 3024, 6105, 3671, 3302, 9630, 5557, 967, 3266, 9042, 1930, 1412, 7380, 6401, 8214, 276, 918, 9194, 5040, 2842, 9160, 6273, 7269, 9656, 1866, 3729, 7381, 4382, 8372, 2281, 1363, 846, 4135, 8139, 5975, 847, 3551, 9880, 1775, 9410, 3238, 9430, 8860, 6547, 6019, 4964, 4250, 3549, 9491, 4359, 879, 1112, 5552, 9799, 8667, 8230, 4410, 3608, 3116, 3977, 287, 6350, 7584, 9019, 6493, 2305, 7636, 2646, 455, 2429, 6681, 7347, 6729, 8146, 3916, 7128, 3476, 4947, 5266, 9981, 365, 4539, 8746, 6781, 2474, 7991, 6422, 5791, 6309, 4327, 2271, 4810, 1551, 233, 2479, 6412, 81, 4431, 4874, 4227, 9848, 9649, 924, 1697, 164, 966, 7573, 8757, 6066, 1557, 6590, 8108, 5403, 8734, 4188, 3637, 5101, 6016, 4347, 8063, 9132, 9163, 3971, 9633, 7185, 5134, 2238, 2930, 1883, 617, 8074, 9408, 3148, 7098, 6632, 7333, 476, 3778, 4963, 9570, 4717, 5123, 2269, 6702, 7933, 8917, 3337, 2632, 5784, 4806, 5008, 5442, 5546, 5970, 3483, 2391, 406, 2931, 7276, 4196, 425, 1057, 3089, 7886, 9225, 9778, 137, 6281, 7067, 7755, 8816, 5884, 9632, 7394, 8284, 1143, 504, 9922, 4201, 1933, 9237, 5481, 2871, 2581, 1212, 5686, 214, 7627, 4899, 1856, 2480, 6719, 1936, 624, 8773, 3179, 1326, 8422, 2156, 3890, 5203, 9543, 7721, 8411, 9346, 2894, 2335, 9466, 489, 7434, 8245, 4490, 1552, 7999, 2868, 9575, 7813, 3861, 8843, 2594, 438, 5661, 5368, 4473, 6525, 6732, 3136, 2199, 9047, 3676, 4977, 1141, 3415, 6699, 9541, 3457, 9595, 4108, 7179, 6176, 4124, 322, 6397, 375, 2800, 7238, 8161, 982, 862, 4459, 5344, 7181, 2119, 4047, 4270, 5717, 1020, 427, 8280, 4680, 3187, 8416, 62, 3706, 6931, 7938, 6943, 6520, 3184, 9592, 6355, 9941, 4885, 1578, 8485, 3007, 4584, 3311, 701, 7512, 5006, 5603, 1173, 8148, 5775, 8930, 5271, 4778, 3421, 8199, 8482, 3317, 687, 1417, 5198, 9596, 8087, 7903, 2749, 9250, 2750, 4895, 1736, 3471, 7760, 9003, 358, 3940, 7923, 6183, 5106, 9391, 5765, 8204, 6960, 6276, 9558, 1748, 7673, 8035, 9146, 9500, 7936, 8300, 393, 7031, 3763, 8141, 7489, 9313, 2877, 8505, 183, 1320, 7239, 2872, 5204, 6218, 220, 9087, 8653, 2537, 968, 2846, 1967, 825, 9769, 8236, 4344, 1920, 8316, 1807, 8160, 7647, 592, 2587, 6298, 7457, 3211, 7870, 4975, 1442, 4155, 7016, 7833, 3429, 6005, 5960, 7771, 9599, 920, 456, 4797, 234, 1311, 6818, 2529, 5993, 2889, 4179, 1749, 4985, 8989, 7864, 5490, 9513, 6646, 7921, 3842, 7218, 3390, 9818, 8620, 707, 7069, 1848, 4387, 7747, 8138, 6107, 9026, 3081, 7099, 4905, 7600, 3887, 44, 2606, 5897, 7242, 2403, 2740, 8440, 6980, 2153, 8699, 2323, 3221, 2798, 6146, 726, 3296, 7948, 7456, 5471, 6617, 1734, 2765, 7139, 6382, 3700, 6703, 4684, 4544, 4891, 785, 6000, 3348, 3921, 6667, 5058, 1656, 8832, 1032, 229, 8412, 3125, 7537, 6605, 8448, 4793, 1855, 2014, 7292, 5667, 3733, 3863, 4320, 2427, 1127, 1137, 7998, 5865, 8951, 975, 6201, 983, 8168, 4030, 326, 5901, 149, 1696, 4642, 9216, 828, 3404, 8296, 9874, 244, 1333, 6737, 8662, 4888, 7200, 6997, 2681, 7313, 4485, 4486, 1934, 7078, 6481, 5067, 7704, 5424, 9955, 7857, 4644, 2356, 6292, 4911, 3793, 8137, 3164, 8903, 9179, 1259, 2378, 5316, 3140, 7557, 5121, 7186, 9923, 1180, 5968, 4867, 2304, 1509, 9593, 1273, 5499, 2386, 8522, 1735, 4608, 5950, 9657, 3395, 4987, 5915, 4826, 1944, 1514, 8092, 5887, 1369, 6206, 8452, 9603, 8869, 5693, 9435, 9973, 8965, 3829, 9821, 731, 5092, 5396, 9617, 5451, 8489, 9306, 3535, 4018, 5095, 9580, 5070, 3664, 9073, 5202, 5080, 3843, 7637, 7260, 4301, 4330, 4667, 3558, 5284, 7420, 4864, 5673, 7788, 4640, 7707, 8072, 3935, 6891, 2395, 7974, 4612, 3925, 8419, 2301, 1618, 8026, 2058, 9720, 1283, 6933, 8192, 5852, 8049, 7518, 6140, 4521, 3905, 376, 9866, 1771, 8459, 3229, 9847, 6376, 4236, 1289, 6767, 8924, 3207, 8999, 5221, 4037, 8151, 6058, 5614, 8526, 9714, 2319, 9579, 8218, 5658, 8920, 5794, 1640, 2987, 2129, 3401, 1421, 6307, 4245, 6070, 6738, 8392, 6340, 4798, 9504, 6831, 1031, 5197, 9102, 5646, 4760, 641, 5078, 5937, 2870, 820, 7202, 2939, 4784, 570, 4803, 2193, 3060, 5904, 815, 1206, 8158, 7606, 9808, 3566, 2232, 2758, 3431, 4480, 8782, 6607, 4780, 7979, 8331, 1025, 2682, 7529, 333, 9255, 369, 5380, 2622, 4338, 3031, 38, 4543, 916, 2365, 2600, 3341, 2796, 3541, 505, 5991, 2383, 4980, 3354, 2493, 4738, 891, 6939, 4462, 6583, 9322, 6381, 7189, 2126, 371, 1626, 8490, 4005, 6297, 6255, 8010, 7089, 9497, 608, 2932, 7730, 8181, 8200, 2712, 6065, 3131, 4781, 683, 5151, 4510, 3495, 7995, 51, 3882, 8211, 6109, 68, 3456, 1014, 6164, 5932, 9350, 3946, 4139, 1539, 5395, 9197, 3233, 6784, 4740, 8059, 3839, 2016, 8287, 3638, 2541, 1976, 7203, 297, 267, 324, 3929, 7671, 3587, 6387, 5604, 6946, 7843, 8262, 2410, 997, 9616, 7071, 7336, 1521, 8644, 1504, 8923, 7737, 4424, 1088, 9444, 7041, 1800, 3122, 8656, 6762, 3966, 2191, 9563, 7419, 9761, 2981, 5089, 4027, 3627, 6796, 7839, 6069, 5433, 3453, 8012, 8812, 8324, 1842, 1175, 7354, 3383, 5076, 9917, 5543, 6541, 5196, 8983, 1949, 3391, 7400, 128, 4181, 9356, 4355, 831, 513, 1718, 3480, 4178, 1211, 9241, 8562, 3123, 1083, 259, 6059, 6556, 8226, 6913, 8685, 1498, 6522, 1461, 4021, 8228, 1106, 8335, 8987, 5050, 4489, 3248, 2617, 7278, 7208, 8529, 94, 5026, 8380, 6443, 5367, 4484, 3944, 100, 9602, 1751, 2017, 4023, 4422, 9336, 1567, 7130, 7149, 4426, 6419, 9736, 938, 5168, 8290, 9651, 3521, 8503, 2010, 54, 2806, 6071, 5434, 6014, 1469, 6675, 1034, 9379, 7323, 1625, 4673, 3181, 7007, 3450, 6537, 8700, 4098, 716, 9755, 885, 2459, 2367, 5869, 1540, 9872, 2434, 3467, 5192, 4638, 15, 4258, 5683, 1456, 2084, 5654, 5698, 5830, 1431, 3501, 4087, 7448, 4674, 4276, 9862, 1152, 4016, 3363, 5443, 675, 2078, 5515, 7946, 3577, 3957, 200, 16, 5174, 2355, 6152, 4437, 8794, 8591, 3446, 5799, 7182, 1961, 3336, 7909, 4157, 788, 4949, 1799, 2390, 9948, 6786, 1373, 5220, 5406, 3974, 2283, 7265, 5002, 5796, 9634, 1670, 6474, 6687, 797, 5464, 2023, 6903, 5105, 1208, 3579, 1896, 9262, 9544, 2246, 6254, 8708, 5837, 2756, 7314, 7399, 6348, 6898, 5685, 9501, 8804, 3658, 7983, 4494, 8807, 9085, 6456, 1763, 7690, 2839, 7112, 9786, 3790, 6524, 8590, 6998, 1024, 8298, 7781, 6815, 7631, 7867, 5926, 6920, 9238, 3407, 6986, 2907, 6579, 7756, 5057, 6614, 5971, 1281, 8977, 9564, 853, 7836, 8056, 3910, 3739, 1451, 7477, 9188, 7767, 5470, 8150, 6618, 8740, 5393, 7741, 2648, 3380, 8509, 9130, 796, 4957, 8474, 2406, 8376, 4695, 3806, 469, 3230, 6622, 3773, 4003, 9824, 4595, 756, 1012, 881, 719, 7662, 2409, 5664, 5737, 6043, 1994, 9566, 8513, 7981, 775, 7495, 8929, 9731, 643, 1443, 6145, 830, 6046, 3303, 8609, 5977, 3755, 2362, 3326, 6470, 5172, 9511, 9949, 721, 8779, 4278, 514, 5272, 6523, 73, 8994, 2476, 3498, 6279, 9838, 8162, 5856, 1398, 1515, 9415, 5208, 7917, 4961, 5817, 3681, 5361, 6261, 7969, 4520, 5426, 4453, 8561, 4046, 1753, 4928, 8520, 470, 1876, 9400, 8802, 6095, 2115, 598, 4626, 809, 3841, 6787, 3648, 1862, 2535, 313, 9034, 4228, 7246, 1044, 6638, 8771, 3779, 7698, 9707, 9230, 718, 739, 7326, 3583, 7392, 908, 8765, 1645, 7267, 218, 3104, 5496, 2692, 8399, 9202, 8862, 2279, 3208, 1534, 7846, 1111, 5872, 8241, 525, 2235, 7810, 9751, 4141, 8584, 2369, 4077, 2873, 2729, 3836, 3744, 1881, 2264, 9472, 6372, 9475, 468, 3436, 5304, 5118, 6271, 4223, 4597, 6506, 7809, 3872, 7832, 3844, 2420, 3853, 7506, 6823, 6462, 711, 4533, 1860, 840, 6425, 7315, 5949, 2483, 6912, 7290, 4000, 1397, 8535, 4997, 7538, 3607, 7284, 2911, 9465, 3891, 8239, 7763, 7509, 5715, 6220, 5362, 9577, 5622, 4547, 1654, 3070, 5860, 2045, 2562, 4912, 8881, 8101, 9476, 4265, 1637, 24, 4882, 5473, 258, 1313, 621, 9017, 1888, 7977, 480, 7042, 3454, 5399, 6797, 7452, 2467, 7216, 3545, 7602, 1291, 497, 6798, 6589, 4292, 5180, 633, 8312, 7285, 4237, 1041, 6319, 6879, 9068, 363, 8861, 6999, 6744, 4218, 5090, 7063, 6503, 4902, 6499, 1166, 7164, 3889, 7835, 5088, 9095, 4244, 9267, 9781, 5967, 1559, 7168, 8972, 7236, 7192, 6528, 507, 3715, 3325, 1664, 8291, 279, 8793, 1507, 6162, 2485, 3565, 5750, 1490, 4727, 7684, 1165, 8898, 158, 4540, 7949, 5554, 1815, 928, 9896, 2056, 3445, 6435, 9569, 8086, 3126, 9375, 2624, 3532, 6749, 733, 5340, 7753, 2141, 9111, 5217, 6252, 9858, 8650, 6516, 6572, 6848, 4260, 5921, 2519, 9316, 2314, 5244, 9043, 4830, 2767, 7451, 6391, 7424, 8717, 8009, 5638, 2778, 9134, 1267, 8314, 4982, 9304, 1458, 9970, 5600, 9298, 1126, 8927, 4536, 1408, 692, 6927, 5850, 9697, 904, 360, 7178, 2779, 8180, 9889, 5980, 761, 7288, 7811, 6288, 3857, 7327, 5017, 6845, 9286, 8354, 6327, 5337, 3298, 9140, 1319, 7368, 9172, 3097, 5923, 3513, 5588, 7580, 6779, 1129, 1929, 2510, 2853, 9587, 434, 5880, 7603, 8177, 7142, 2158, 7863, 9627, 6932, 4305, 6671 ], [ 2066, 2188, 9181, 6132, 5535, 6555, 2371, 8004, 8953, 5318, 243, 4081, 1169, 2814, 9212, 3333, 4317, 2787, 3860, 1332, 6585, 5025, 6042, 5748, 6294, 668, 3603, 5189, 607, 7814, 7986, 8817, 764, 6120, 5059, 9369, 1885, 3294, 1374, 4926, 1247, 3796, 1668, 5431, 3534, 7559, 8066, 1764, 6969, 2200, 1325, 2923, 8441, 3601, 3859, 8041, 2553, 145, 1869, 3784, 3538, 618, 8778, 9645, 7150, 2062, 126, 9982, 3556, 4550, 5744, 1642, 7304, 5360, 9803, 3205, 2165, 9689, 1466, 6345, 1766, 4762, 7226, 5690, 7895, 4838, 8107, 5941, 1568, 1340, 6169, 7324, 7131, 759, 4553, 5177, 8117, 3527, 4311, 1597, 8631, 9892, 2643, 6236, 9481, 6207, 8601, 2236, 1814, 888, 6015, 8536, 8432, 2358, 9867, 3082, 5853, 8552, 3734, 5146, 6625, 8796, 8341, 9199, 5954, 153, 3816, 4127, 7808, 2170, 2222, 9460, 7143, 6890, 3198, 9329, 2773, 3441, 4190, 9308, 7821, 9439, 9677, 4643, 6713, 1437, 3620, 5569, 8608, 7757, 9005, 8969, 7365, 1639, 4074, 1906, 6721, 4126, 262, 8405, 8252, 91, 3237, 1296, 1536, 6916, 5408, 1446, 6444, 1080, 1279, 4868, 7695, 1244, 1503, 5073, 5501, 6905, 4461, 3621, 5234, 8678, 1985, 7109, 7887, 7587, 3883, 1069, 3699, 8762, 6909, 980, 3349, 6731, 597, 3834, 2125, 2691, 9108, 253, 3797, 7248, 7816, 6557, 4176, 2747, 7715, 5714, 4091, 3253, 4819, 7749, 1150, 4656, 7332, 8669, 1566, 9081, 1874, 4495, 3626, 8549, 7125, 7064, 1135, 1124, 4989, 6180, 8854, 4434, 240, 7156, 490, 189, 758, 461, 2711, 6855, 442, 2926, 9037, 6642, 3632, 5912, 1921, 4254, 5979, 4894, 4931, 8532, 3426, 3058, 2998, 5833, 3153, 362, 2041, 6243, 2945, 8420, 103, 2182, 302, 3709, 4735, 1200, 814, 4197, 8617, 715, 4189, 6596, 6778, 477, 3374, 9383, 8805, 1381, 3064, 2788, 4627, 6854, 1823, 9053, 2564, 4402, 4224, 5302, 6149, 5112, 256, 1512, 407, 6844, 1198, 3988, 2817, 2583, 3903, 8770, 4286, 6104, 5012, 9661, 2338, 3624, 4173, 4850, 3918, 1367, 1942, 7818, 4996, 7666, 7268, 5411, 8473, 2027, 6383, 308, 2178, 188, 7877, 6770, 301, 1484, 7038, 5772, 1854, 1538, 3397, 8334, 2964, 2101, 6735, 5119, 8634, 8037, 827, 543, 6609, 3200, 8940, 8792, 3275, 7688, 9551, 6539, 2995, 491, 5402, 7885, 3682, 4400, 5985, 9665, 6829, 5538, 5668, 8377, 2620, 7515, 6052, 4634, 822, 602, 6598, 4438, 3036, 8479, 8597, 3400, 4340, 2686, 2448, 3864, 5064, 3195, 8718, 9957, 3228, 8269, 3113, 8949, 623, 8131, 2133, 5652, 30, 8539, 4618, 2544, 8984, 5524, 3956, 644, 9509, 844, 2677, 5152, 976, 2360, 1037, 5158, 8703, 8842, 270, 8078, 6777, 779, 7919, 7227, 6979, 3634, 9741, 319, 3357, 627, 5922, 1005, 1231, 2503, 8216, 6007, 5509, 1767, 7773, 1472, 5768, 2520, 3854, 2278, 4576, 4367, 875, 5128, 5691, 4970, 2676, 635, 4941, 8367, 1473, 7194, 5553, 4239, 1082, 2961, 8698, 3005, 8727, 4291, 4971, 877, 4365, 9228, 7649, 8050, 8196, 9164, 1324, 6270, 6300, 9546, 3159, 9418, 139, 8450, 7032, 971, 7769, 5238, 4163, 4772, 2470, 6115, 4505, 8882, 5898, 1870, 511, 8186, 6025, 396, 3809, 2621, 6253, 6820, 2547, 1182, 2475, 2706, 3004, 9441, 3723, 6653, 2146, 5082, 4073, 8476, 1062, 9920, 9724, 7577, 1678, 8623, 7896, 7141, 5571, 4319, 8402, 1091, 1248, 2811, 3574, 4896, 6488, 7954, 5135, 6728, 3416, 7104, 6887, 5225, 5851, 3399, 1990, 5410, 6938, 5536, 5260, 3767, 1470, 1072, 3065, 1682, 5619, 6492, 9562, 4799, 9219, 5641, 3475, 952, 4893, 9031, 3069, 1880, 2454, 6275, 5818, 4405, 7562, 8997, 7961, 7458, 960, 6430, 2705, 1179, 431, 9952, 9070, 1290, 1161, 893, 4820, 2970, 7033, 6780, 5187, 2653, 2679, 8166, 6351, 2855, 2768, 8289, 2394, 6009, 1146, 8674, 1818, 1388, 6231, 4733, 7102, 1178, 6248, 2777, 5751, 6352, 6096, 4156, 3447, 7302, 6951, 3740, 9881, 2486, 1155, 9032, 1142, 3091, 2086, 1383, 7689, 1237, 6232, 9231, 8415, 2514, 1738, 6757, 9302, 4296, 3366, 9096, 4509, 2504, 3373, 7262, 6289, 3283, 8895, 948, 7370, 702, 5457, 7187, 8603, 4198, 2638, 7345, 1334, 6238, 2289, 1056, 8313, 9672, 9448, 2354, 3490, 9628, 5441, 538, 2925, 1865, 9535, 5854, 9281, 22, 3922, 9240, 5156, 426, 1890, 5265, 7176, 4395, 3650, 3888, 789, 6062, 1078, 8327, 186, 4035, 4836, 9414, 4671, 8890, 6283, 7620, 5876, 2350, 8382, 1858, 4006, 579, 1499, 2845, 2966, 4783, 4144, 7374, 6822, 713, 6154, 9128, 76, 2910, 6754, 577, 4315, 6983, 4187, 8406, 3516, 2401, 1236, 8321, 3554, 8077, 7944, 4008, 1986, 9798, 8352, 161, 6160, 6331, 8449, 3731, 6103, 655, 9929, 9353, 3515, 1392, 1741, 5254, 7585, 4629, 8798, 3488, 290, 2217, 7734, 6274, 2091, 6123, 9411, 1691, 4955, 7421, 2629, 7220, 8645, 1439, 5283, 8593, 9407, 9828, 8304, 7475, 5444, 523, 1007, 9620, 2708, 2639, 347, 8640, 8813, 8652, 9885, 4026, 3215, 3328, 7266, 6919, 7124, 6993, 7793, 5570, 5726, 1962, 760, 8203, 2168, 8065, 3098, 2322, 8569, 1577, 910, 3819, 3775, 661, 6210, 6437, 1648, 6090, 8084, 4204, 792, 7732, 13, 8454, 9105, 9863, 4304, 5331, 9624, 4646, 2291, 1074, 6418, 6193, 9454, 1717, 2935, 9642, 2074, 5029, 9122, 7663, 1251, 7968, 2531, 5336, 3987, 1257, 8643, 6570, 9943, 7670, 4742, 6079, 9849, 5862, 5523, 8176, 1312, 7281, 9937, 2439, 2958, 6088, 7526, 2828, 8978, 5927, 8022, 1263, 866, 8836, 6635, 5104, 3459, 821, 1586, 3258, 3338, 14, 1402, 7674, 5140, 6872, 1187, 6957, 3246, 6553, 3093, 67, 1042, 292, 2224, 238, 5613, 2879, 4042, 4447, 5735, 2799, 5596, 5694, 2538, 2824, 5436, 2381, 8941, 6726, 3000, 6606, 889, 1964, 1613, 1077, 1139, 2450, 4423, 6031, 583, 8902, 7422, 3506, 105, 282, 3828, 1220, 8311, 4691, 1118, 1331, 6457, 4455, 9875, 7720, 9994, 392, 9721, 8635, 1541, 6458, 8560, 3818, 2996, 6108, 4929, 957, 3572, 4413, 3114, 3774, 4607, 2069, 7384, 6195, 3503, 1939, 2345, 4782, 8777, 2366, 5018, 9000, 1590, 9841, 6750, 3340, 7318, 5580, 2412, 1630, 7247, 8894, 8486, 5746, 7240, 9282, 5785, 9367, 9989, 2328, 3013, 2011, 4153, 4582, 4575, 7170, 3769, 3964, 5235, 208, 9224, 8913, 3316, 417, 3610, 7264, 6304, 8732, 4318, 3072, 8993, 7508, 201, 2307, 9584, 933, 9294, 7494, 5298, 3749, 9506, 4661, 4832, 7415, 5030, 4435, 6619, 3419, 7349, 4057, 5306, 6026, 8396, 9686, 1850, 9832, 1839, 8938, 4683, 6473, 1971, 1104, 4398, 2834, 4282, 7019, 1720, 578, 9907, 348, 9445, 3747, 7373, 9589, 9788, 8990, 8039, 3799, 3801, 9293, 4694, 1804, 2913, 2006, 1495, 3111, 2794, 2599, 1582, 4583, 2195, 1477, 1354, 9425, 5844, 8665, 8580, 1418, 3291, 6006, 2593, 5356, 5420, 1053, 377, 575, 3300, 4370, 803, 1395, 8093, 7693, 1834, 6621, 390, 298, 9178, 422, 992, 3313, 4089, 3798, 1222, 8829, 3794, 2664, 3236, 6842, 673, 2900, 5931, 6639, 802, 2633, 8172, 2727, 3766, 7598, 8952, 5305, 2675, 5074, 9490, 7754, 2508, 801, 1006, 3030, 1798, 8472, 9078, 5843, 6262, 3791, 6652, 7085, 1009, 2809, 852, 3919, 6226, 3180, 4622, 1832, 6666, 6251, 8945, 6476, 8007, 8134, 2782, 6929, 2948, 6487, 156, 1246, 5320, 1898, 5400, 6892, 1797, 3292, 6480, 6783, 2516, 325, 4502, 5280, 9119, 6472, 5052, 5315, 9853, 9065, 2928, 5995, 3523, 5767, 3461, 1673, 1085, 8918, 7108, 5824, 1965, 1879, 453, 4689, 7784, 8706, 9597, 8624, 1250, 6910, 6482, 9215, 6346, 9960, 5730, 5023, 1772, 9658, 1346, 9842, 1228, 9750, 3168, 9961, 3973, 4029, 2318, 5346, 5634, 4388, 4241, 9076, 8916, 5157, 4515, 1102, 2647, 1992, 6947, 503, 5125, 4960, 7907, 9764, 9968, 9548, 5627, 8374, 5642, 3906, 4151, 6984, 533, 7861, 953, 4732, 1747, 4101, 1275, 5500, 5446, 6415, 6308, 3936, 660, 8029, 5640, 4720, 1110, 8907, 7499, 6921, 4829, 2163, 2013, 4070, 2063, 7486, 9963, 9364, 6449, 1852, 5066, 4417, 1554, 8858, 9117, 8528, 415, 7625, 8769, 275, 5540, 7502, 3455, 8255, 484, 1293, 3038, 5414, 492, 6813, 8661, 4710, 3963, 1467, 142, 5551, 9776, 7699, 7487, 2352, 7480, 5647, 3414, 7564, 8710, 2808, 2104, 7668, 1123, 55, 613, 6814, 141, 4725, 5143, 6629, 6511, 9397, 8219, 7914, 1707, 1649, 7180, 1224, 1191, 4280, 499, 9486, 8889, 1501, 6578, 4418, 4186, 1419, 5494, 2050, 3143, 9496, 1277, 3750, 4653, 6504, 8589, 116, 1731, 4862, 3710, 9421, 2722, 1157, 5334, 4551, 4552, 2333, 5938, 2993, 4307, 2507, 8512, 970, 7700, 7683, 7190, 558, 1524, 9412, 467, 5330, 3823, 6571, 3517, 8865, 6367, 5212, 1702, 8628, 2605, 3339, 185, 3821, 2183, 8128, 4274, 7090, 3244, 4396, 7391, 9510, 485, 6552, 1097, 1666, 9538, 8044, 6799, 6874, 3962, 1066, 401, 8462, 1482, 606, 5651, 328, 9083, 4345, 1184, 8409, 723, 3409, 1028, 9650, 9713, 5223, 9568, 6686, 7542, 3254, 7261, 2753, 3285, 4983, 3095, 8254, 6630, 6928, 4872, 8159, 6039, 5914, 7237, 4633, 1115, 1641, 934, 1411, 8639, 5419, 2807, 3496, 5488, 6974, 3278, 5849, 5630, 9120, 593, 7514, 7640, 1488, 5984, 2130, 7510, 1318, 57, 7437, 1623, 999, 8098, 1305, 4097, 6385, 7328, 6423, 906, 5205, 7232, 8223, 3381, 9705, 6314, 3037, 9618, 2229, 8052, 6063, 6239, 4873, 3782, 6880, 5185, 690, 9809, 1714, 6645, 7133, 6489, 8191, 9536, 1913, 6076, 9935, 3209, 2220, 8619, 2007, 8095, 5890, 5591, 6941, 3056, 4670, 8410, 6655, 223, 2725, 3389, 7431, 1919, 6644, 2849, 1304, 131, 873, 8477, 1916, 843, 2592, 2002, 7496, 6414, 5863, 5199, 1830, 1978, 1614, 1758, 5371, 8034, 2755, 1181, 8735, 5670, 8726, 2962, 6312, 7444, 5098, 9093, 1833, 3994, 7362, 9549, 6187, 7414, 5920, 6113, 2433, 418, 5649, 1716, 549, 1154, 9773, 5169, 387, 509, 8358, 2003, 3970, 6310, 7849, 7549, 4953, 8458, 2303, 7943, 6918, 7080, 1825, 6356, 7905, 4408, 4668, 2097, 9015, 7520, 6268, 5154, 9631, 8516, 569, 529, 5533, 4476, 3274, 8679, 9747, 9217, 3182, 479, 3548, 596, 8068, 4598, 5578, 537, 367, 7119, 3364, 3449, 124, 1793, 7593, 7363, 6649, 4094, 1242, 7644, 45, 8206, 7827, 198, 5062, 6956, 4723, 9694, 1864, 4699, 2627, 6899, 9644, 4206, 6393, 1530, 8373, 8967, 7416, 1351, 9209, 2256, 8925, 3417, 8259, 1065, 271, 6137, 8047, 5405, 3997, 6121, 8594, 1627, 2940, 127, 6568, 8006, 3787, 3623, 6967, 2780, 4300, 8421, 7241, 5489, 4483, 6792, 7081, 7030, 9845, 9959, 5539, 9876, 6670, 1628, 9260, 7838, 2801, 591, 155, 4051, 7193, 6648, 4491, 9001, 2827, 9153, 7679, 6181, 5148, 7658, 8401, 4192, 7801, 8654, 2518, 6959, 6424, 9654, 8429, 6329, 7430, 3465, 4488, 2619, 2694, 5924, 8753, 6190, 1676, 5084, 9459, 2738, 3659, 8342, 2414, 6758, 9988, 5249, 1210, 9317, 1270, 7554, 4010, 280, 98, 3993, 5033, 1923, 4128, 3833, 7258, 9870, 6054, 584, 7096, 5990, 4577, 4414, 7672, 9406, 5466, 8306, 3147, 548, 9112, 8579, 192, 6377, 2145, 659, 7940, 4561, 5250, 122, 6575, 9757, 5281, 5164, 8563, 8114, 4374, 1309, 9169, 9791, 3272, 9532, 8544, 7295, 3869, 9894, 8121, 1671, 1787, 9537, 9018, 4149, 860, 2187, 6305, 1535, 9362, 8747, 8500, 5814, 86, 2128, 8384, 4958, 2144, 2095, 7077, 3124, 8112, 5953, 1071, 5179, 2072, 261, 1606, 172, 110, 5427, 5153, 9552, 4233, 6837, 6680, 1094, 5933, 4991, 6384, 1680, 8299, 2500, 547, 1372, 3868, 4379, 6380, 4219, 7136, 4620, 3673, 8630, 7850, 3462, 8174, 9972, 8027, 7464, 9873, 9528, 4215, 8883, 1380, 8680, 3674, 2262, 5527, 3896, 29, 7694, 9184, 8355, 8165, 6881, 2161, 3743, 2197, 8905, 7233, 5310, 7617, 1650, 2342, 516, 2973, 9836, 1316, 4247, 8670, 8263, 5345, 5631, 9503, 7892, 6628, 805, 1891, 8091, 4240, 9783, 2446, 3006, 4617, 147, 7298, 705, 6875, 8242, 7221, 5311, 9684, 5644, 8201, 5522, 3840, 423, 7711, 2949, 7305, 6751, 7862, 399, 757, 945, 7931, 5716, 7021, 4028, 151, 341, 65, 3825, 120, 4969, 3051, 9381, 8715, 629, 6730, 167, 9116, 4430, 1254, 6580, 2561, 8598, 8351, 4956, 9180, 9110, 3458, 7195, 2763, 7982, 7418, 5232, 905, 4160, 9064, 7908, 729, 5873, 6923, 2372, 8932, 4231, 6189, 5593, 4903, 2955, 501, 3469, 9387, 7621, 3206, 9489, 3937, 3463, 4496, 5388, 964, 3716, 1708, 3879, 1917, 6838, 6604, 9676, 187, 6269, 7710, 3759, 1422, 2024, 8064, 7167, 2260, 4451, 9609, 5386, 9258, 4523, 4194, 6868, 2630, 5043, 4915, 9527, 9879, 8423, 3555, 3057, 4948, 1497, 900, 8824, 9912, 8809, 2216, 8347, 7371, 6830, 6136, 2654, 4890, 2419, 5113, 5516, 3590, 5484, 4541, 7386, 9193, 8011, 6399, 5448, 554, 6723, 3232, 6257, 616, 4105, 3965, 4302, 657, 7601, 9390, 7926, 1817, 3353, 8856, 3892, 5643, 8960, 5866, 7548, 9883, 3156, 2100, 5806, 4401, 4467, 9259, 4342, 8897, 9680, 1624, 3553, 4134, 7378, 9429, 1843, 6816, 7086, 9683, 1000, 7929, 1863, 6159, 4900, 1810, 8484, 7403, 7786, 2688, 1076, 4060, 119, 8244, 4548, 6050, 216, 1067, 8572, 1620, 6682, 9823, 2021, 2704, 7037, 2604, 2790, 3393, 6922, 2906, 6970, 5437, 48, 5314, 448, 9717, 1201, 6782, 1522, 3856, 9715, 7018, 5793, 3076, 2109, 2548, 1542, 3118, 3372, 226, 5485, 5363, 5609, 8055, 2329, 2227, 8558, 8766 ], [ 9933, 3309, 5206, 5721, 5022, 8193, 3486, 6952, 403, 1608, 5895, 5056, 6199, 8279, 2343, 6529, 109, 5749, 136, 2203, 4325, 3845, 1026, 8797, 581, 9186, 832, 7837, 7027, 9211, 6852, 3736, 4573, 9232, 658, 7026, 4665, 9136, 9069, 959, 1223, 8427, 6264, 2674, 810, 8088, 6824, 9743, 9359, 4020, 744, 8385, 1615, 9325, 9586, 5629, 4792, 5003, 8215, 7868, 2915, 8388, 1386, 8028, 7093, 7350, 4129, 5699, 9533, 6693, 8906, 11, 4508, 1871, 6151, 8123, 1599, 7044, 7488, 3955, 923, 8625, 1096, 4022, 7544, 9556, 4690, 83, 6122, 2286, 791, 8502, 4167, 2325, 1987, 6228, 8115, 640, 6574, 6861, 435, 1214, 5874, 1698, 3346, 3617, 2251, 6835, 7062, 5251, 6701, 2179, 8018, 8079, 8742, 2511, 7287, 2039, 2136, 2471, 3876, 5826, 3210, 4038, 4487, 7309, 8998, 4887, 2862, 1519, 781, 1905, 5407, 5186, 3669, 9512, 6873, 3318, 2650, 3874, 3560, 8036, 5474, 6038, 1382, 1873, 4456, 7901, 6408, 901, 1938, 5790, 4919, 9711, 963, 296, 2313, 9007, 2152, 6689, 63, 7536, 295, 53, 7608, 4604, 3647, 2522, 9401, 3261, 46, 6533, 9967, 1465, 5353, 410, 1781, 9517, 3243, 3805, 4876, 9846, 7348, 5147, 6044, 6061, 4647, 9479, 2971, 3497, 9311, 1739, 2898, 454, 7052, 6202, 1610, 1168, 2213, 4811, 7404, 4458, 9473, 7831, 7319, 9789, 2651, 4812, 3370, 9748, 4777, 6359, 2731, 5556, 9483, 2150, 6194, 1595, 7433, 2833, 5612, 4824, 3332, 7722, 3751, 4681, 3531, 2607, 2715, 3297, 7453, 1506, 4632, 6806, 8213, 9794, 684, 5777, 1253, 3276, 19, 7511, 1687, 6761, 1294, 9965, 1674, 4216, 9055, 3287, 2596, 8361, 2209, 903, 1908, 4709, 4610, 6325, 1196, 4048, 2044, 4436, 2761, 1040, 8808, 984, 4880, 4350, 8293, 6034, 7820, 930, 5038, 6601, 6078, 5512, 8142, 6170, 6700, 3359, 3754, 5432, 7342, 811, 7225, 8183, 552, 2840, 3525, 2515, 9507, 747, 1343, 8152, 8054, 1342, 6416, 5633, 519, 3692, 2921, 5875, 4831, 9641, 6018, 1549, 2250, 8507, 3251, 9343, 9792, 432, 4353, 5597, 1239, 998, 5602, 1368, 5218, 6519, 6188, 1365, 9344, 8460, 3102, 6925, 1315, 2857, 7743, 6942, 286, 7872, 600, 1984, 2523, 5599, 5607, 9827, 5783, 5083, 9125, 1877, 194, 7507, 9050, 4393, 9131, 2918, 1163, 8995, 428, 9997, 5159, 7, 6766, 8530, 6426, 2402, 3423, 4765, 1240, 5840, 2649, 2951, 6249, 8604, 6917, 580, 6810, 204, 8606, 689, 3851, 6358, 7411, 5653, 7614, 3500, 7205, 8872, 553, 8682, 6756, 5072, 6610, 2744, 2876, 7235, 7013, 409, 8819, 2330, 7521, 5957, 1209, 3738, 7097, 3239, 5829, 4152, 1988, 3235, 10, 1176, 8249, 3101, 7369, 5068, 9328, 2259, 8636, 1194, 9844, 1156, 2353, 2838, 4722, 5289, 5855, 4532, 7325, 3800, 2223, 9954, 6246, 5506, 4946, 850, 2687, 2908, 9962, 996, 3764, 1570, 6964, 42, 2207, 7714, 4180, 6037, 2509, 4586, 7535, 5964, 1475, 5477, 1740, 2628, 8343, 1140, 5809, 181, 1063, 4602, 9046, 4363, 96, 7939, 1931, 3657, 4184, 6024, 5065, 2733, 3858, 1100, 5943, 4587, 1803, 1897, 1789, 5657, 5292, 1706, 6508, 71, 9539, 8956, 5861, 639, 3732, 1487, 1322, 2875, 6277, 382, 4852, 9898, 8806, 6117, 9987, 2791, 9166, 345, 4669, 8880, 1310, 8368, 8398, 1500, 1851, 2899, 8827, 6286, 8583, 851, 4130, 486, 7817, 2407, 9813, 2453, 8070, 4968, 4952, 7807, 3071, 3510, 8919, 1147, 237, 9248, 2826, 4140, 4210, 7669, 8320, 4392, 8067, 8602, 9932, 4024, 1090, 3213, 3115, 9372, 5349, 9106, 6558, 2154, 8838, 6354, 3615, 5688, 4688, 272, 2237, 6691, 6280, 5327, 9647, 7650, 9837, 2554, 1226, 7916, 2579, 6048, 6431, 7519, 266, 3512, 9911, 36, 2969, 4378, 439, 95, 7988, 2821, 2841, 3157, 9722, 9814, 5976, 7277, 8785, 7616, 5333, 887, 4776, 3546, 4848, 1234, 8936, 3226, 2568, 2944, 612, 5962, 749, 3106, 4974, 6897, 114, 5297, 6134, 762, 8933, 614, 2151, 7848, 9342, 3914, 1872, 9782, 8118, 6330, 5384, 9062, 9682, 1471, 1692, 1629, 9966, 207, 878, 8451, 9438, 3567, 4209, 551, 166, 6945, 2142, 2543, 3530, 9135, 8418, 1744, 7337, 458, 4062, 6636, 6908, 4821, 2721, 2988, 9099, 3718, 4075, 3502, 8568, 2946, 3052, 47, 3144, 9565, 1033, 935, 7360, 4446, 769, 8730, 6150, 2243, 5808, 3803, 1207, 6613, 9067, 5308, 817, 7527, 6985, 2368, 4869, 8349, 8207, 8659, 5031, 8045, 3811, 1387, 3830, 3933, 7702, 9027, 849, 4562, 278, 4787, 59, 2936, 8756, 1679, 1684, 2854, 7127, 3992, 3439, 5377, 3260, 9984, 4052, 1785, 5696, 9576, 7992, 6478, 5502, 7851, 1617, 6049, 4871, 2331, 4559, 9525, 7561, 5379, 9900, 6135, 378, 7462, 5532, 9787, 7748, 3698, 4053, 3160, 9285, 2601, 5415, 8337, 4526, 9735, 2359, 5478, 9865, 8428, 9058, 8790, 8909, 2443, 4589, 5430, 9436, 283, 440, 8359, 4313, 2088, 4470, 804, 3705, 7217, 8745, 3289, 3271, 1616, 7630, 7759, 3983, 4084, 3947, 329, 6033, 3655, 8750, 7965, 4463, 5545, 6420, 8743, 3174, 7915, 4571, 9807, 300, 8370, 7945, 7311, 3652, 7551, 191, 7049, 1185, 2802, 327, 9376, 786, 9196, 3602, 9470, 8776, 4651, 1131, 1545, 7224, 1371, 5879, 9621, 7840, 6955, 1910, 6448, 1087, 8365, 8278, 3785, 5695, 2070, 3753, 8611, 8834, 2683, 9733, 8931, 8032, 3827, 8780, 4729, 5846, 4506, 205, 2526, 3151, 3639, 2455, 4889, 6930, 8573, 5798, 4298, 6958, 9273, 2334, 3641, 317, 7335, 1742, 7894, 6234, 6977, 5947, 3437, 8013, 8431, 6041, 2746, 6010, 2451, 2022, 2506, 2550, 235, 2444, 2245, 8198, 4356, 1219, 4377, 2135, 4652, 783, 5662, 5467, 2349, 3571, 8878, 202, 7716, 9890, 2075, 9006, 4419, 305, 5069, 107, 1612, 394, 2836, 8447, 6245, 4309, 4906, 8000, 4685, 9024, 2252, 506, 4272, 2490, 3951, 2527, 7004, 6502, 1886, 6208, 9220, 6515, 6673, 9090, 1547, 2393, 3367, 8607, 2665, 9008, 97, 1703, 7015, 7550, 7970, 8344, 6341, 1415, 7937, 6746, 3907, 3166, 4133, 8702, 1553, 6153, 4066, 3117, 2092, 8543, 7029, 1036, 5918, 9612, 5010, 9100, 4817, 9904, 451, 872, 3371, 1513, 8947, 5671, 1, 4921, 6690, 9785, 5264, 1108, 3155, 4168, 5537, 7613, 4403, 4412, 9177, 4623, 340, 632, 2214, 3220, 4525, 5757, 7685, 8235, 7372, 8975, 752, 7055, 4527, 5703, 2037, 8857, 1733, 8537, 2488, 6904, 4448, 5291, 3092, 7628, 3132, 7659, 8145, 3902, 6870, 3980, 7072, 7997, 2201, 7761, 8581, 1061, 160, 542, 9976, 5178, 9652, 2096, 5598, 4162, 1791, 7341, 1079, 4328, 6876, 8467, 9428, 4657, 4314, 9801, 8469, 8143, 9290, 2219, 7708, 1511, 2059, 8877, 7790, 5723, 2980, 9636, 4779, 6896, 5719, 4420, 3815, 5637, 4279, 459, 6573, 8582, 7918, 3096, 242, 2886, 4858, 7300, 7355, 7474, 4986, 8586, 6768, 994, 1177, 5592, 4822, 4050, 8266, 5102, 6657, 2658, 3975, 3301, 2719, 6299, 5045, 2025, 5131, 8695, 1824, 5525, 7852, 9098, 6819, 5797, 1835, 416, 452, 5725, 3398, 2566, 3059, 524, 1757, 5273, 330, 6371, 9522, 1092, 3717, 5526, 5624, 6775, 3355, 7273, 8356, 6258, 5706, 2922, 5517, 1596, 914, 768, 3995, 894, 8559, 2098, 2730, 6344, 7212, 7805, 6256, 4936, 5611, 1657, 8799, 6110, 1653, 1693, 5498, 398, 2595, 2052, 5242, 3605, 7161, 6438, 3078, 6953, 3730, 4522, 2978, 5893, 1662, 7047, 9692, 5867, 4992, 9402, 1449, 4769, 8132, 7701, 3649, 7331, 3315, 7802, 1783, 5541, 1450, 5994, 6692, 1847, 9553, 5907, 8494, 3697, 1574, 5769, 8527, 6322, 3464, 2558, 361, 2865, 4428, 9926, 6937, 9726, 5736, 4512, 6278, 515, 8002, 5019, 5252, 8435, 2171, 3369, 586, 5099, 8097, 7500, 8445, 9269, 9545, 9662, 4409, 41, 3281, 5585, 2917, 5560, 750, 195, 25, 6608, 5608, 1496, 4432, 5513, 8250, 1903, 5423, 4122, 7570, 1424, 9629, 2105, 6847, 9969, 7296, 8664, 9695, 7312, 481, 1688, 5329, 3121, 3746, 5729, 2242, 5760, 1667, 677, 6302, 6375, 6620, 2533, 8701, 4662, 7398, 4164, 3196, 2563, 3847, 961, 5773, 8981, 7745, 2759, 8310, 5583, 1980, 466, 4800, 7681, 4713, 6089, 2127, 4613, 3422, 9529, 8781, 1795, 8849, 7591, 6374, 6849, 9999, 3923, 615, 6679, 3606, 9944, 4200, 5487, 7913, 4295, 1778, 865, 4978, 7046, 314, 1928, 3646, 5359, 5989, 6763, 26, 7567, 1414, 5601, 720, 3443, 1148, 1989, 5248, 1701, 9931, 7766, 7953, 7056, 2247, 8164, 7874, 6112, 2956, 3765, 7402, 9708, 115, 9659, 700, 7752, 1377, 1047, 5449, 5270, 6911, 7254, 118, 3852, 5700, 4898, 1533, 9530, 1404, 1968, 5041, 1216, 4384, 9906, 7657, 5816, 9635, 9145, 9856, 3406, 61, 9998, 7845, 842, 2576, 3520, 9572, 8934, 3267, 1589, 3786, 7329, 7002, 5397, 4211, 3631, 6465, 5347, 3165, 5702, 4238, 7858, 2239, 3702, 3377, 5778, 7417, 444, 1572, 1543, 1167, 1338, 8237, 3600, 1528, 6287, 1774, 2783, 3599, 9691, 7729, 3838, 6882, 4123, 4945, 5909, 2275, 64, 774, 9673, 9040, 6370, 1523, 6336, 2073, 7105, 8548, 3865, 9245, 595, 3771, 2655, 8113, 4346, 4351, 2175, 4745, 582, 1581, 9492, 3286, 1561, 4801, 8364, 7782, 5293, 7249, 3344, 3011, 4394, 357, 6320, 3452, 1019, 7575, 5821, 212, 7307, 2496, 9300, 9035, 146, 3644, 7353, 6464, 3685, 2860, 8596, 4592, 5848, 6085, 4360, 4113, 3494, 6032, 9409, 2320, 5999, 599, 5184, 6602, 7709, 8973, 4154, 4032, 3508, 8205, 5193, 819, 1991, 9502, 5094, 1344, 6717, 7742, 462, 2054, 7103, 106, 5766, 6705, 5093, 3591, 7251, 8391, 6047, 7978, 9700, 1694, 9667, 698, 7539, 1565, 6495, 465, 588, 9802, 5672, 7523, 4808, 7343, 3103, 8281, 6483, 1188, 7586, 5825, 6800, 6743, 3392, 695, 3402, 1820, 3279, 7058, 6017, 8389, 2085, 7059, 5942, 3978, 5774, 1945, 9148, 9455, 9953, 1101, 5762, 7703, 9234, 7513, 3949, 2468, 1631, 8329, 672, 4293, 8672, 1591, 7686, 834, 9484, 6405, 4281, 1690, 528, 6118, 4853, 8688, 594, 8089, 564, 5738, 217, 17, 6003, 6603, 7911, 2626, 2916, 1981, 2953, 2408, 2582, 3190, 2428, 3185, 7955, 8363, 7860, 6332, 6203, 518, 4707, 9198, 3897, 5561, 4570, 1588, 4914, 309, 7159, 6846, 1861, 1563, 5077, 3360, 2986, 1737, 9852, 7713, 4177, 6640, 2793, 7184, 384, 5836, 3900, 9790, 3969, 5857, 3758, 8466, 2858, 3661, 7596, 9540, 6323, 1935, 2498, 222, 3953, 609, 5369, 4846, 6219, 3999, 5455, 5378, 9919, 5917, 8136, 6801, 5307, 5697, 66, 6097, 8595, 925, 8232, 5722, 1288, 5372, 8221, 9759, 5085, 419, 2294, 3356, 5704, 3288, 7252, 9531, 6834, 9426, 4648, 9071, 6175, 2598, 7546, 8737, 680, 8863, 4616, 2431, 4558, 5343, 2312, 4159, 291, 5115, 130, 874, 7632, 1840, 6454, 1468, 2046, 2739, 4399, 943, 2337, 4049, 7947, 5521, 9423, 6469, 4739, 1192, 1768, 138, 4071, 1413, 909, 80, 5615, 1051, 1951, 573, 2310, 3473, 7126, 3616, 6894, 9467, 3660, 4182, 8551, 6459, 9670, 5819, 7768, 6869, 8395, 3080, 8225, 5974, 5617, 2903, 8496, 8110, 2861, 9777, 8704, 590, 6832, 1436, 5160, 2440, 2206, 6177, 4497, 3018, 6512, 571, 9851, 482, 1011, 7470, 1669, 771, 8210, 2909, 9315, 5973, 2512, 1899, 9770, 1434, 8120, 4861, 8899, 4884, 8950, 2186, 1358, 9380, 7552, 1622, 8082, 9559, 9995, 5847, 7010, 8576, 6588, 5341, 8238, 6129, 7040, 6658, 8167, 6445, 2625, 3945, 3686, 4621, 129, 8184, 896, 3405, 3817, 6343, 6205, 8565, 8567, 3711, 6966, 8189, 1972, 4687, 913, 8958, 5663, 1954, 1646, 5682, 4339, 92, 9582, 2447, 225, 5969, 7100, 4719, 4354, 6915, 3197, 1816, 2426, 610, 3470, 8033, 4376, 5810, 4708, 7888, 2919, 180, 7844, 1287, 2577, 5935, 6060, 4229, 1695, 8629, 1725, 9323, 7066, 5375, 1105, 5741, 7798, 1659, 7841, 6501, 3478, 8789, 4580, 989, 8153, 8185, 7466, 4692, 5418, 7912, 3250, 5389, 5267, 224, 9263, 299, 8801, 8910, 1463, 9488, 6267, 6045, 3938, 4299, 3084, 9124, 9864, 9354, 5770, 8868, 7736, 8481, 5338, 4701, 8900, 4557, 3222, 5133, 6695, 6394, 9623, 9337, 6901, 5226, 6789, 4121, 3849, 9451, 5325, 1728, 4036, 288, 6496, 9442, 5684, 5996, 7188, 1663, 7442, 942, 9385, 1603, 2121, 9010, 3067, 9619, 5144, 359, 1308, 3042, 4593, 8996, 4802, 9835, 2469, 5594, 6788, 884, 3528, 2384, 447, 1909, 4697, 9819, 8911, 3745, 2574, 1836, 7959, 6214, 2867, 6184, 1001, 3573, 159, 9992, 950, 6212, 3961, 7157, 7379, 2437, 5577, 7824, 2772, 5776, 9739, 4383, 3915, 784, 8879, 1276, 3186, 3323, 77, 7643, 1709, 3677, 9950, 5605, 4033, 3917, 1064, 4807, 1391, 8426, 5959, 1145, 857, 3928, 372, 9598, 4329, 60, 991, 823, 8126, 4818, 709, 7975, 4118, 6839, 6615, 495, 5285, 734, 8733, 168, 5780, 6357, 6656, 4976, 1384, 3090, 589, 2140, 3347, 1894, 1427, 5229, 3598, 3150, 2904, 8957, 9712, 7101, 3619, 4136, 8339, 7778, 7951, 133, 5013, 4758, 5213, 9523, 3217, 9639, 2357, 5544, 7255, 4743, 4679, 8986, 6436, 9256, 6595, 7088, 520, 8023, 6708, 9820, 1712, 6324, 7286, 2257, 4748, 8946, 1593, 8024, 2565, 1280, 5838, 4257, 7493, 9191, 985, 6698, 8840, 4171, 5044, 3008, 6995, 9154, 6668, 4764, 9056, 7750, 1299, 4288, 778, 154, 7045, 388, 7653, 2571, 1055, 3862, 2560, 3002, 4965, 8390, 8841, 3146, 2723, 4145, 666, 5117, 7146, 2464, 5274, 3040, 9573, 2960, 8025, 4146, 3129, 8480, 2421, 6740, 6295, 5142, 6707, 9377, 7204, 1002, 6976, 2184, 741, 2026 ], [ 2456, 9030, 6821, 7973, 7884, 8102, 9270, 5549, 3034, 7484, 8371, 681, 7582, 2233, 4883, 1953, 3693, 725, 605, 1300, 2423, 5674, 4534, 5294, 4119, 219, 4590, 9314, 351, 2933, 7696, 1893, 5681, 7942, 8724, 5001, 7053, 536, 1973, 3189, 4990, 5616, 331, 4606, 3635, 7113, 8076, 7491, 2573, 6765, 937, 4043, 2463, 954, 6774, 1632, 9440, 1337, 8828, 7257, 9474, 2707, 9161, 5648, 5542, 2847, 8820, 8692, 1827, 8308, 5024, 6442, 2751, 33, 8540, 1116, 9861, 6155, 5035, 4712, 4639, 6186, 8845, 2478, 6432, 1828, 5124, 4875, 7941, 5374, 9151, 1576, 3484, 9916, 4106, 6538, 7597, 7765, 9029, 4499, 2656, 310, 9927, 2445, 4675, 8574, 6178, 8525, 4375, 8362, 6772, 4917, 5988, 4090, 2263, 1957, 334, 508, 1901, 3931, 5800, 9075, 6451, 8491, 8736, 7011, 944, 7229, 4790, 1258, 532, 7826, 6696, 8612, 7563, 6366, 4425, 869, 5815, 2611, 7541, 6373, 3263, 6684, 5868, 4147, 8729, 708, 688, 8487, 9247, 2266, 2901, 6662, 9214, 9079, 2110, 1518, 1195, 5936, 6886, 5309, 9447, 7731, 4503, 7428, 7634, 4044, 5129, 3533, 8438, 7449, 1218, 4015, 3169, 7604, 8425, 9437, 2344, 8534, 2064, 5412, 2143, 4749, 4574, 2306, 1440, 7230, 2375, 4518, 8264, 7989, 7607, 5303, 6948, 2001, 5590, 9335, 344, 5529, 6971, 765, 4362, 4373, 6398, 6485, 8566, 6914, 4208, 2736, 7425, 9229, 4624, 2270, 8731, 1544, 4922, 3643, 4655, 6802, 2277, 2000, 7605, 8124, 7389, 6363, 5219, 6973, 6147, 8043, 4082, 6353, 2461, 2542, 2435, 4056, 7859, 7751, 679, 241, 7727, 6561, 5503, 4109, 7576, 6902, 2623, 335, 7191, 3596, 7774, 1393, 4117, 43, 8492, 1454, 4993, 8135, 4773, 8912, 4938, 2167, 7215, 9059, 7883, 2897, 6992, 8892, 7483, 4843, 4927, 413, 5435, 3413, 6439, 4619, 1960, 7522, 18, 5956, 6051, 3268, 5277, 868, 1806, 9432, 1796, 5946, 4519, 4482, 5998, 7822, 215, 165, 4249, 5894, 3033, 7733, 5416, 199, 3107, 5440, 9394, 2997, 883, 3950, 1202, 9457, 4545, 1232, 4111, 1390, 2545, 6106, 2567, 8867, 4750, 9091, 4513, 669, 1715, 6582, 6612, 8171, 5231, 6223, 104, 7984, 8272, 4759, 9780, 7920, 7547, 5339, 6086, 3295, 9118, 7642, 391, 3770, 7592, 1776, 7339, 2389, 7610, 8687, 8338, 1256, 4120, 1652, 699, 5037, 9696, 9039, 1262, 6092, 5574, 1647, 8935, 9588, 3824, 3575, 7003, 7478, 3334, 6083, 8400, 6191, 956, 9730, 1199, 7712, 2436, 3358, 152, 5755, 6764, 5827, 2181, 9766, 3581, 4364, 1035, 780, 2501, 4568, 7447, 132, 5036, 8443, 5620, 7897, 806, 9993, 1339, 926, 3781, 3293, 8850, 7154, 9133, 3582, 9816, 1790, 3191, 5955, 2819, 6597, 4937, 3241, 5981, 9274, 3552, 8761, 5842, 2267, 6317, 4386, 6072, 5241, 3924, 3379, 4143, 9077, 2031, 5034, 8332, 1947, 70, 5028, 697, 798, 1711, 1729, 3351, 8190, 7383, 1952, 1963, 5787, 380, 5256, 9113, 7869, 8524, 8716, 9891, 1607, 2974, 3651, 437, 2051, 5120, 3904, 8253, 2240, 2640, 848, 8197, 8346, 7129, 6144, 1526, 1457, 6131, 148, 8282, 8847, 9914, 6990, 6282, 642, 3218, 4718, 5913, 2376, 9762, 5236, 8465, 1004, 3068, 7985, 5317, 3586, 2215, 6102, 8302, 1969, 6500, 9938, 3277, 8870, 1396, 8800, 1153, 7375, 5676, 5047, 9815, 2718, 7272, 9299, 3432, 8155, 951, 8493, 1782, 5357, 2035, 751, 4477, 7060, 1784, 1022, 6378, 2441, 2221, 2089, 833, 8928, 6776, 4844, 510, 274, 3094, 7762, 7804, 4150, 6674, 1298, 7906, 4078, 7177, 9567, 9292, 9235, 4009, 4704, 1494, 6222, 4564, 3557, 8691, 1517, 4923, 7569, 5191, 4479, 2032, 1049, 1447, 7878, 7719, 1983, 4654, 1769, 6087, 5859, 2308, 4267, 8083, 7966, 2972, 1995, 3968, 3324, 2324, 342, 1604, 1478, 9918, 4788, 9200, 5905, 9420, 163, 5155, 3411, 3043, 8309, 2671, 3942, 898, 9173, 990, 8515, 693, 4517, 6094, 7388, 6884, 2226, 9930, 3203, 9990, 6172, 2288, 4854, 2850, 7338, 9143, 3477, 4528, 674, 9149, 2118, 1927, 6073, 3728, 7361, 8030, 8340, 1347, 8434, 6586, 4645, 4195, 656, 3141, 3265, 3909, 8741, 3789, 9977, 8379, 1808, 321, 2018, 6196, 6733, 899, 4287, 3539, 7243, 9793, 743, 8556, 5491, 3588, 9869, 5257, 7776, 2635, 2180, 4308, 5332, 3898, 3611, 176, 6851, 2076, 3368, 546, 4786, 9296, 1345, 3688, 9560, 9349, 7206, 566, 1555, 379, 8260, 5928, 4014, 6402, 3269, 7595, 5032, 3451, 5373, 3015, 3629, 75, 5740, 6198, 3435, 8835, 3022, 2258, 5665, 3225, 3386, 855, 3192, 6660, 7925, 5421, 8468, 4357, 770, 5000, 4897, 1039, 4731, 1029, 5495, 3998, 9246, 7785, 5108, 6455, 5354, 2185, 8830, 941, 1302, 5200, 6769, 7092, 6961, 9706, 6584, 8711, 5240, 7210, 3342, 6335, 1958, 6865, 4471, 5900, 4067, 7796, 7094, 7794, 7009, 1819, 2644, 157, 2114, 816, 745, 4628, 5005, 8533, 3642, 6328, 27, 4845, 2732, 8610, 3752, 8846, 3877, 6895, 5906, 988, 9905, 9666, 8825, 6057, 4041, 8831, 9171, 808, 8694, 8240, 1480, 3, 2379, 9622, 2735, 5881, 8774, 8270, 6185, 9312, 3105, 5645, 1941, 3252, 1802, 8904, 2743, 7792, 3807, 4269, 5370, 4391, 6392, 8157, 3319, 5563, 5149, 2517, 1813, 3505, 6306, 2994, 8713, 7485, 6866, 5020, 303, 9469, 4563, 6241, 540, 2557, 1048, 7958, 9693, 3227, 3135, 1266, 7572, 3595, 9728, 4441, 9817, 474, 3826, 9611, 6029, 9734, 3307, 5930, 3161, 1537, 9152, 4220, 6643, 5916, 5268, 2552, 691, 3119, 2575, 9971, 604, 4839, 7819, 2505, 4170, 2878, 9080, 9416, 9663, 5139, 5705, 8106, 1030, 4442, 6138, 1975, 3023, 965, 2449, 3695, 373, 7472, 337, 836, 9036, 4012, 2432, 6055, 4615, 7197, 8546, 6168, 4972, 7677, 7962, 5530, 795, 9615, 854, 5568, 3199, 50, 3536, 8707, 5438, 1306, 2099, 541, 4753, 1982, 5919, 1314, 6672, 7410, 8081, 1379, 5504, 263, 9526, 4857, 8550, 706, 2438, 5789, 2578, 9398, 4277, 8853, 108, 7530, 6020, 8357, 6581, 9165, 2859, 8455, 5792, 9925, 2697, 7891, 6550, 7516, 338, 3178, 1745, 9190, 5081, 3670, 5126, 2881, 7665, 1525, 2293, 1350, 1243, 9021, 7675, 6166, 8288, 7017, 3713, 4, 559, 5548, 9126, 5520, 3885, 5983, 565, 7492, 9368, 7652, 9168, 4226, 6301, 8690, 8675, 7036, 1307, 9287, 6127, 3388, 917, 7633, 622, 7022, 5534, 2202, 8514, 3176, 6434, 9266, 1021, 1389, 2228, 7454, 7667, 5507, 9358, 7199, 9396, 4763, 7151, 1453, 3618, 248, 1592, 4085, 7902, 8383, 3708, 7558, 8062, 9370, 5963, 8683, 7406, 2131, 3943, 2169, 3016, 1491, 6361, 2610, 841, 2952, 8439, 9028, 2818, 125, 8243, 9477, 6101, 8564, 5864, 4306, 7117, 7409, 9114, 7465, 7528, 619, 4264, 1721, 2989, 5009, 561, 1122, 2094, 8818, 7050, 4635, 3270, 8648, 9279, 8442, 4954, 6411, 9357, 2465, 9758, 2380, 7556, 2363, 7629, 4285, 1560, 9338, 8437, 6517, 9433, 6225, 7172, 6453, 1015, 4336, 9795, 8964, 3433, 2642, 995, 3046, 9638, 2057, 2667, 3592, 9505, 3813, 2513, 5447, 7501, 8001, 3112, 1683, 1926, 932, 1689, 1459, 173, 3035, 5348, 1884, 9868, 9857, 9025, 3507, 6490, 8592, 7228, 9725, 5587, 1359, 5575, 3984, 3273, 4866, 7957, 4335, 7158, 2979, 5958, 3489, 8222, 5835, 3884, 1070, 8749, 8758, 140, 5669, 9392, 3578, 8571, 4469, 3424, 3049, 169, 7006, 5286, 6926, 79, 7460, 5982, 3077, 3948, 861, 9222, 1093, 3394, 3725, 1489, 9022, 4721, 6836, 8130, 6410, 9678, 9964, 6396, 1853, 2844, 5111, 8866, 4341, 646, 6285, 8705, 2495, 9167, 6962, 5718, 2717, 5328, 7294, 1730, 2102, 5456, 5021, 4166, 8464, 5965, 2590, 436, 3201, 1378, 1321, 5666, 257, 7900, 2416, 374, 790, 9478, 3976, 8048, 927, 8475, 4303, 2851, 5625, 1089, 3612, 3256, 1710, 170, 6654, 4337, 1558, 3831, 7346, 9014, 5016, 9594, 4059, 9986, 6067, 9679, 7639, 7297, 2774, 101, 5505, 8345, 7505, 7135, 1227, 6216, 7952, 4268, 1838, 1529, 8417, 2212, 8954, 955, 7588, 4445, 1564, 3312, 8295, 1086, 9251, 3878, 1779, 4625, 521, 3989, 1846, 8823, 949, 7692, 6400, 9203, 7073, 1801, 1366, 5756, 1162, 1531, 2805, 3493, 2462, 3322, 2589, 4966, 6804, 5259, 294, 7565, 3675, 4736, 6338, 4248, 88, 4452, 4933, 9710, 3899, 9606, 3748, 7357, 6143, 9745, 9626, 2460, 8684, 7461, 2172, 6125, 5228, 7095, 5771, 6548, 5364, 2155, 2405, 2521, 2020, 5832, 2920, 3737, 1812, 6989, 4530, 4678, 5224, 2230, 7482, 1394, 8760, 9405, 3593, 2678, 2713, 7697, 3895, 4907, 9129, 9542, 987, 9156, 8754, 4851, 5161, 728, 3376, 6028, 1400, 8759, 3280, 3048, 7964, 8970, 8016, 1868, 3684, 7648, 236, 8538, 6491, 7566, 7990, 2160, 69, 2124, 2999, 6441, 1579, 1054, 7358, 8541, 5321, 2884, 9975, 8588, 6669, 246, 7646, 5786, 9660, 6888, 7619, 5091, 5841, 5479, 4768, 28, 2177, 6616, 9804, 8519, 4939, 773, 5, 3930, 2285, 8407, 2300, 1841, 4984, 3985, 1445, 1974, 5222, 1743, 4349, 6755, 1235, 7764, 443, 6064, 4380, 5275, 2864, 3559, 5390, 5743, 8874, 1109, 5207, 6428, 9195, 7963, 6148, 1882, 7061, 634, 4246, 5181, 9295, 2659, 8893, 8523, 1329, 9585, 7051, 6429, 7253, 221, 6546, 1407, 8725, 4415, 304, 1635, 4566, 7728, 385, 9653, 4600, 3875, 6907, 3547, 31, 1878, 7408, 8127, 1598, 6004, 7397, 197, 150, 2959, 2896, 8483, 1508, 5940, 9547, 6001, 6676, 7274, 8859, 5301, 8021, 5713, 8575, 1573, 2825, 7834, 7468, 3848, 4881, 7445, 6954, 5910, 4017, 255, 7980, 8444, 2637, 32, 52, 5398, 7244, 572, 1638, 4273, 6139, 7791, 5461, 892, 8179, 7777, 5060, 1821, 3714, 7504, 9884, 1433, 4555, 8436, 766, 6174, 1174, 4878, 5175, 911, 5692, 4849, 7083, 7847, 4859, 3175, 210, 1605, 6906, 9419, 8208, 6514, 4397, 9289, 6362, 6623, 4460, 8195, 8495, 2636, 7115, 8133, 3926, 4283, 3522, 5742, 2137, 2771, 8681, 1600, 2789, 2107, 3812, 4158, 9082, 7532, 3712, 9729, 2028, 8268, 9601, 4039, 6591, 7153, 2159, 6862, 4203, 3088, 3321, 2585, 2670, 1520, 4500, 1474, 2977, 777, 867, 4110, 1132, 5246, 2741, 3687, 6554, 7825, 9115, 9555, 7299, 1401, 1353, 6142, 9746, 717, 7152, 2684, 7476, 9772, 1356, 4102, 2892, 7450, 2295, 8712, 6889, 4554, 1170, 2261, 6075, 5576, 1937, 2555, 6053, 1502, 8381, 6850, 1895, 9324, 3472, 3912, 7393, 2797, 6540, 5802, 7283, 8178, 5581, 2164, 6337, 5233, 8175, 7660, 630, 355, 6991, 5086, 9158, 7967, 8600, 6678, 3613, 7436, 5382, 5709, 336, 5462, 2299, 421, 5886, 9261, 3255, 4932, 9052, 5896, 2991, 940, 4630, 8621, 6697, 9991, 2385, 9854, 6587, 5350, 6128, 3442, 4840, 4746, 6752, 7075, 293, 5239, 1292, 5788, 742, 7144, 8615, 6566, 8008, 8040, 7385, 4266, 7780, 9899, 2117, 8696, 8277, 1265, 5493, 5807, 4686, 6736, 354, 1915, 6968, 2645, 1448, 4716, 473, 5925, 1130, 3636, 2265, 4855, 3920, 2880, 1430, 9174, 3234, 7134, 3654, 6165, 2315, 113, 5429, 2415, 2843, 8738, 5255, 8915, 3722, 1409, 2297, 2701, 2546, 8646, 7934, 4650, 3880, 9159, 6390, 587, 2693, 7459, 4676, 9709, 111, 85, 4918, 2591, 4529, 2584, 4741, 9779, 478, 3768, 1805, 1636, 2597, 190, 7661, 4217, 8875, 6950, 2668, 7787, 9422, 7758, 870, 3666, 7070, 6163, 3622, 1727, 9320, 4879, 9371, 4988, 2820, 5167, 7121, 5763, 6263, 895, 8182, 7132, 8233, 8003, 5096, 8657, 4498, 209, 6518, 1303, 3304, 2689, 6192, 8319, 5409, 740, 8637, 4944, 2225, 1121, 6141, 9897, 5555, 502, 522, 9104, 8666, 9482, 871, 8506, 8247, 1977, 5547, 6664, 2883, 1059, 6677, 8014, 3584, 9768, 2766, 1375, 8229, 1164, 8060, 6826, 6293, 5899, 8154, 5261, 445, 2673, 4099, 9393, 7035, 7560, 2296, 8413, 3290, 349, 1125, 9088, 2340, 2481, 6021, 5902, 5132, 4959, 9946, 2082, 2776, 5572, 400, 5109, 3721, 7609, 3384, 7876, 9345, 4734, 2942, 3194, 9189, 9834, 9480, 5731, 2211, 1151 ], [ 1160, 2165, 9069, 8327, 1846, 6401, 9613, 7507, 373, 1603, 1991, 9933, 6927, 1183, 868, 292, 751, 6352, 6642, 3516, 7914, 2602, 1127, 2711, 8899, 61, 9343, 2990, 6172, 9176, 7653, 7767, 6811, 2040, 6824, 4571, 6613, 2323, 203, 542, 2121, 3618, 5979, 6556, 8820, 8878, 1224, 2464, 8508, 1930, 2810, 8937, 1511, 4671, 5772, 4390, 1194, 1921, 7809, 2620, 6372, 9285, 2135, 6438, 8077, 8254, 3556, 9518, 148, 9479, 5055, 2843, 2172, 5707, 3257, 6408, 4542, 8124, 7312, 8817, 6651, 5512, 1476, 9593, 1298, 1233, 1087, 3529, 144, 9576, 6578, 8114, 2597, 8521, 1552, 8043, 2854, 2270, 4402, 6796, 828, 6810, 7748, 5295, 4100, 9388, 6173, 3211, 4465, 330, 763, 6419, 7376, 6826, 6557, 693, 8189, 2511, 3598, 8297, 6497, 3462, 4653, 5329, 8932, 2419, 8353, 5291, 9172, 3734, 9754, 6623, 8573, 6399, 6514, 3474, 8137, 1042, 6593, 8365, 250, 51, 4638, 5675, 1031, 6287, 8846, 2328, 840, 2565, 1041, 7542, 7417, 7215, 4, 9034, 7899, 6773, 5060, 1483, 7978, 7391, 3727, 9254, 6672, 5927, 8923, 6625, 9079, 2596, 5384, 1533, 7057, 1663, 1675, 5373, 5970, 1179, 5439, 6157, 627, 914, 8314, 7248, 3189, 3035, 369, 11, 5758, 4518, 520, 1695, 8084, 1187, 1806, 9192, 8298, 6244, 6341, 8808, 5117, 9083, 6435, 7286, 1957, 2228, 1520, 976, 8511, 1241, 6119, 2668, 8185, 7384, 1362, 1278, 5930, 3275, 7729, 7947, 399, 2435, 3307, 7771, 1559, 8461, 5791, 7579, 7289, 7046, 2995, 7650, 1284, 4813, 9682, 9943, 653, 3071, 9511, 3318, 5181, 7610, 8546, 2659, 2978, 2432, 6277, 6346, 5486, 2615, 9498, 9115, 8742, 3725, 4053, 7598, 3256, 5988, 749, 4480, 7062, 1776, 1784, 6268, 305, 1462, 8055, 474, 8490, 2725, 6615, 8225, 6572, 8303, 1832, 6547, 3651, 6839, 604, 959, 1459, 9196, 7469, 6782, 2613, 4925, 7922, 2738, 7688, 85, 6580, 4557, 5868, 361, 5012, 9415, 9929, 6012, 6645, 5019, 6494, 87, 9730, 1063, 7735, 3903, 5438, 6791, 7405, 2471, 4080, 8617, 8083, 3769, 5144, 4762, 8893, 1708, 1820, 8495, 5332, 307, 124, 3988, 5844, 9240, 6212, 8029, 227, 3357, 2865, 6496, 5590, 5957, 2926, 1826, 7246, 9779, 6393, 4337, 3844, 496, 4779, 8514, 1765, 6873, 33, 9899, 8837, 299, 7199, 8935, 7347, 929, 7126, 314, 3394, 8971, 8636, 2987, 978, 779, 6445, 566, 4516, 2012, 5992, 8179, 6116, 4284, 4091, 9947, 9889, 6702, 1312, 6860, 8367, 6410, 4362, 3299, 3585, 6325, 141, 8255, 1404, 2389, 5310, 7385, 329, 6582, 2600, 3667, 1756, 9778, 8261, 1635, 6513, 9071, 4432, 7802, 341, 5795, 4317, 6814, 4223, 336, 9104, 1837, 6654, 8459, 6155, 966, 2819, 1159, 8489, 9642, 8000, 7020, 3391, 9302, 9434, 3184, 6059, 7872, 9153, 9727, 2173, 2315, 6338, 7892, 7552, 7237, 553, 8486, 4450, 3916, 4355, 6510, 9090, 6200, 1126, 7570, 1403, 4951, 6015, 3510, 2784, 5778, 4570, 81, 2269, 6958, 7641, 7475, 2666, 3720, 6428, 5995, 5247, 2281, 5349, 4861, 5578, 6848, 2627, 3013, 5214, 1738, 323, 2093, 384, 6780, 5717, 3062, 7848, 5083, 7977, 2334, 8326, 8888, 8650, 4617, 6902, 5095, 8019, 1452, 2891, 5901, 8708, 9912, 8129, 8896, 3522, 8095, 4490, 998, 916, 7797, 8371, 5246, 6434, 9717, 4498, 4437, 6592, 2140, 2019, 2985, 5245, 6421, 7845, 4441, 6670, 3204, 3609, 2137, 9625, 3532, 9356, 1137, 4435, 7884, 6565, 2552, 6246, 5243, 1375, 7226, 1617, 9446, 7411, 3495, 3443, 8294, 8085, 6661, 5429, 5504, 3894, 2062, 1454, 4840, 471, 823, 4547, 2840, 3246, 8309, 8638, 3288, 4011, 9148, 1868, 5342, 5577, 614, 1497, 8874, 7646, 6468, 2606, 6296, 8228, 4816, 9127, 5762, 5960, 7927, 6541, 9806, 2914, 9279, 4183, 7608, 463, 1221, 119, 9988, 7476, 7231, 2341, 3910, 6629, 6170, 7412, 8934, 3137, 4388, 9164, 4593, 9178, 403, 2138, 4190, 8603, 2531, 1456, 2825, 5433, 5043, 9190, 3040, 6202, 8838, 8662, 574, 2373, 2844, 8907, 1609, 3335, 9589, 5702, 2731, 1248, 1928, 3611, 7907, 2245, 7354, 56, 6977, 9862, 4515, 6827, 2059, 3543, 4555, 4963, 8642, 5583, 5822, 1712, 4634, 9839, 8186, 2745, 9466, 7502, 3094, 5861, 1997, 7039, 6523, 7937, 8769, 746, 6069, 1200, 7219, 9690, 1175, 2785, 3594, 5443, 2206, 8526, 8146, 71, 2972, 2523, 1342, 8720, 5648, 2696, 8692, 5266, 7754, 3337, 8592, 7827, 3743, 3399, 1875, 8385, 5624, 435, 8308, 5963, 1302, 255, 2607, 8792, 5866, 7408, 702, 5454, 7218, 6802, 4794, 3608, 7193, 4625, 5008, 3662, 7392, 1064, 8507, 7628, 4942, 7717, 7099, 8683, 6649, 7637, 6369, 137, 1616, 3023, 3527, 8624, 3566, 1245, 994, 5283, 8434, 6267, 9928, 4584, 2830, 1823, 5249, 2856, 2937, 3022, 8247, 1667, 28, 7633, 586, 1594, 8223, 3047, 5706, 8538, 7322, 7241, 3045, 1689, 7882, 6415, 1547, 8956, 7936, 7609, 5104, 4988, 2097, 5150, 8201, 9637, 2343, 8736, 4357, 4236, 1884, 2157, 3976, 8302, 1643, 7522, 7533, 7941, 9100, 858, 6706, 6320, 7578, 1955, 6772, 3359, 7171, 573, 7064, 6259, 8406, 3838, 7104, 1522, 1445, 100, 7967, 4528, 1578, 9050, 1432, 7382, 1679, 9140, 4443, 6477, 1190, 354, 3169, 9423, 6914, 7026, 7398, 1330, 2381, 907, 4552, 2571, 6424, 3801, 9983, 2445, 6809, 3519, 2038, 7676, 8245, 2862, 719, 6190, 5292, 4483, 5926, 270, 8913, 4277, 8637, 1413, 7953, 9680, 2698, 6358, 2039, 7712, 7436, 1270, 6179, 2633, 1767, 393, 9638, 9643, 753, 5416, 6185, 3674, 8216, 5451, 5494, 5208, 9177, 2979, 5989, 4803, 1710, 979, 9624, 5131, 2017, 4449, 7548, 525, 8483, 82, 3475, 5011, 6665, 9761, 609, 3469, 3681, 8429, 4532, 4208, 9276, 8497, 7740, 9376, 4075, 5118, 9304, 8831, 95, 8677, 7294, 6459, 2214, 6022, 2403, 4526, 3552, 8766, 317, 408, 8246, 5946, 1133, 1189, 8331, 9795, 7655, 1901, 8312, 7024, 8797, 9544, 3710, 7595, 4139, 3836, 3086, 750, 4151, 1701, 3964, 8263, 6028, 2717, 9897, 8954, 8835, 4452, 9062, 106, 8822, 6849, 4746, 3982, 164, 2740, 8517, 3530, 9774, 67, 1867, 2267, 1054, 9527, 5564, 5548, 4376, 27, 6178, 8335, 824, 7011, 4061, 4642, 2960, 1009, 865, 9134, 2290, 5062, 2168, 7870, 6100, 9610, 1805, 4274, 322, 9846, 8162, 3626, 4084, 1550, 3951, 701, 1453, 7957, 6769, 5700, 2063, 8939, 9209, 4057, 8572, 6390, 4763, 630, 8387, 3294, 703, 8559, 3125, 7849, 7803, 5517, 2665, 8513, 4047, 6889, 9126, 4596, 2863, 6750, 5552, 850, 409, 2288, 5662, 7959, 8876, 2915, 8044, 4041, 9916, 2021, 6413, 7050, 4938, 9098, 9280, 1645, 6201, 8997, 8607, 721, 4841, 4329, 3109, 7402, 1303, 8575, 2797, 4466, 8391, 5819, 2156, 8551, 3557, 6738, 9621, 9927, 6684, 7626, 3587, 7805, 1286, 2890, 3420, 5796, 3188, 1033, 6701, 7146, 6635, 6214, 2147, 8424, 6726, 1308, 4069, 7821, 9738, 8071, 4644, 9381, 8351, 2015, 1319, 1257, 9413, 7758, 6365, 3926, 1803, 873, 426, 7167, 7291, 324, 9003, 3175, 5560, 8350, 5047, 2880, 7668, 9577, 7142, 3374, 3301, 9183, 1757, 9258, 9107, 4527, 15, 1101, 2107, 3761, 789, 1129, 8469, 6056, 8277, 2313, 7691, 3919, 3568, 190, 6617, 4184, 1314, 4950, 4383, 130, 9141, 3498, 4993, 414, 6719, 5964, 9895, 4345, 1035, 8383, 8705, 1484, 7993, 8417, 1382, 5180, 9745, 1356, 718, 4761, 3345, 9979, 4776, 1161, 8867, 6071, 8998, 6744, 3441, 309, 2473, 1945, 1099, 1772, 4739, 406, 7788, 1876, 1576, 7531, 5455, 4850, 4522, 7603, 2199, 1172, 1819, 6227, 4979, 4440, 1490, 7489, 7785, 5546, 2622, 2609, 3895, 2889, 7090, 9271, 658, 2484, 302, 8036, 1525, 9420, 1619, 6711, 1605, 1109, 6219, 4586, 595, 3132, 4244, 4918, 1527, 5319, 5530, 2208, 8857, 1721, 2033, 149, 7728, 318, 3578, 1681, 8454, 3259, 2719, 2133, 9966, 5916, 6398, 1079, 4252, 8392, 1514, 7284, 6774, 622, 4848, 5597, 510, 8086, 7869, 6032, 9194, 8503, 9913, 8136, 9056, 4983, 1155, 2024, 7787, 6539, 5182, 7865, 5903, 8654, 7358, 7925, 5658, 8787, 8437, 4592, 4948, 5671, 8863, 9156, 9994, 5621, 5993, 5075, 2283, 4896, 6626, 1088, 8065, 5969, 1903, 4724, 1610, 4051, 8317, 1434, 4935, 7815, 9139, 1227, 7528, 5524, 3591, 9160, 616, 668, 6622, 7829, 9901, 3947, 591, 1357, 9210, 9938, 9698, 1847, 6010, 169, 5787, 2905, 7523, 1402, 5275, 2360, 8224, 6073, 1704, 2557, 7762, 4502, 117, 6273, 5493, 731, 1596, 9579, 8272, 7038, 6106, 8601, 2509, 4975, 8194, 8873, 5092, 9718, 486, 7887, 7988, 9817, 4316, 9504, 8917, 795, 1045, 5161, 2123, 3843, 4414, 1651, 8940, 5277, 9750, 9508, 5908, 8615, 880, 7200, 3073, 815, 4758, 6213, 4541, 6205, 8252, 5268, 7333, 3933, 8533, 3270, 6643, 5800, 9661, 7068, 9008, 723, 4847, 3783, 835, 5803, 7605, 7933, 6819, 782, 8955, 5282, 3819, 8588, 6292, 4377, 2452, 4727, 9877, 7589, 1, 6842, 434, 7890, 1600, 2096, 428, 4433, 4833, 4661, 5284, 3400, 4959, 8473, 1750, 6123, 7204, 786, 1850, 8082, 2422, 5303, 3603, 4851, 7107, 3454, 2388, 16, 1491, 8377, 2811, 4902, 813, 9389, 2400, 9603, 7196, 5516, 2229, 3431, 9917, 3375, 208, 8771, 9167, 431, 8829, 6575, 4607, 7019, 1078, 2256, 4381, 59, 3858, 6551, 2485, 456, 70, 9606, 5460, 8175, 9842, 7543, 9345, 3705, 9087, 807, 3083, 4264, 5140, 784, 6113, 977, 4422, 6407, 9179, 5447, 1457, 6239, 1844, 3090, 9908, 3917, 3649, 2237, 5881, 7823, 6516, 4213, 6759, 4897, 3438, 1334, 7102, 7464, 54, 154, 9768, 2545, 1894, 339, 7485, 2148, 229, 202, 1589, 5934, 2546, 5171, 4884, 6245, 5649, 6655, 2793, 5128, 7540, 8772, 4969, 4326, 8699, 8999, 9267, 8097, 5533, 2408, 4923, 1731, 2187, 6945, 3738, 5299, 6397, 7418, 3526, 4722, 5579, 2735, 9231, 7715, 7100, 6198, 3467, 5003, 1060, 9958, 1052, 600, 188, 8687, 3890, 1696, 7302, 5773, 7801, 6727, 1686, 8213, 5695, 423, 4531, 3997, 4910, 3829, 4869, 5506, 1602, 2010, 396, 590, 7539, 3763, 2431, 8502, 2752, 5099, 2480, 9946, 9550, 6366, 4026, 5078, 4108, 2631, 1700, 7429, 539, 7409, 7772, 5609, 7479, 5023, 7002, 6742, 5289, 3401, 115, 8166, 8381, 4770, 5259, 4903, 3845, 6569, 4780, 4040, 1273, 834, 9529, 8825, 2146, 9942, 7004, 7140, 5163, 4898, 9092, 4140, 4311, 3757, 9234, 6794, 5591, 4456, 2792, 7786, 225, 5965, 2691, 5000, 911, 7553, 6961, 2550, 3806, 3746, 9061, 1373, 6567, 5918, 1121, 6501, 9924, 8969, 1470, 1026, 9764, 5218, 4652, 989, 970, 8741, 4106, 5409, 1827, 7505, 4885, 3042, 6618, 4753, 2276, 8420, 7009, 6957, 6168, 5033, 5790, 4005, 925, 5551, 6471, 242, 7115, 6488, 9770, 671, 362, 6343, 4649, 2525, 3929, 220, 1122, 4956, 9809, 1082, 5643, 7152, 3100, 2250, 4154, 2759, 2374, 4130, 3393, 3966, 2769, 4729, 5882, 3331, 395, 441, 4101, 9136, 9417, 78, 9902, 9208, 8648, 6258, 8922, 2661, 9519, 9834, 5586, 7545, 5948, 1980, 8090, 1553, 4032, 2428, 7987, 4135, 2108, 686, 9236, 9241, 8698, 6731, 7538, 1790, 4797, 2630, 9886, 8723, 9483, 313, 5626, 1345, 2839, 5331, 3440, 9049, 6517, 3927, 1787, 6269, 6451, 8239, 3702, 639, 5509, 8171, 8524, 7434, 1932, 9328, 7726, 3172, 7576, 5575, 6133, 6319, 2177, 6055, 3078, 1173, 4590, 3136, 4538, 7997, 1131, 2076, 5724, 2099, 2102, 182, 1261, 8212, 352, 2265, 4174, 7582, 3531, 5682, 1626, 9364, 3985, 1029, 6230, 1996, 7776, 8796, 9170, 4558, 6332, 9712, 690, 349, 7280, 2216, 945, 8629, 3168, 6454, 2812, 2516, 2421, 9048, 5459, 5798, 3260, 6763, 125, 9349, 3862, 4199, 8804, 6596, 2973, 5347, 8330, 7798, 9627, 3796, 427, 3126, 7277, 9128, 8344, 6447, 1736, 244, 5558, 8300, 4765, 3296, 4517, 7517, 8342, 1507, 3688, 2687, 726, 9439, 4122, 5333, 1799, 7625, 475, 2048, 6853, 1124, 2489, 7047, 4411, 4837, 9402, 8790, 6252, 1458, 5272, 2927, 1549, 4221, 2325, 4955, 1804, 9403, 649, 1021, 4999, 9673, 1912, 9568, 1419, 9694, 927, 9810, 6283, 6646, 7447, 9443, 2947, 6918, 5358, 9410, 8855, 1753, 3709, 7518, 2710, 5904, 9759, 5048, 2031, 8500, 7866, 1442, 3604, 7446, 737, 8669, 258, 8823, 8908, 3624, 2278, 1812, 4611, 8751, 6279, 9563, 5414, 3010, 4912, 2371, 416, 3971, 895, 910, 5056, 383, 9255, 6981, 8931, 3333, 3352, 1543, 7309, 3820, 7723, 4462, 366, 8007, 7750, 8845, 4385, 3376, 6535, 6256, 9998, 9549, 4927, 9233, 4170, 2151, 8138, 7773, 3989, 3600, 9026, 6875, 6317, 550, 4268, 3935, 7768, 2262, 3329, 8447, 618, 8919, 5115, 7183, 8445, 564, 5010, 6043, 4161, 8950, 2573, 7329, 2680, 4313, 7732, 3091, 3690, 628, 1531, 1242, 4977, 1574, 159, 9823, 7912, 350, 8338, 333, 3056, 5776, 960, 7042, 9470, 6047, 1795, 4438, 8121, 1407, 5209, 1370, 8227, 8062, 2154, 5490, 2347, 6217, 2382, 5610, 8020, 7583, 885, 9120, 7565, 4792, 6932, 4193, 6930, 7135, 685, 9602, 4615, 4001, 4359, 2014, 9811, 4703, 1228, 4686, 457, 6026, 6562, 8920, 2968, 4973, 625, 1818, 2592, 4425, 9313, 7360, 3128, 9335, 249, 9963, 5444, 5226, 6867, 677, 9159, 2285, 5287, 4293, 5911, 4415, 8887, 2651, 143, 712, 5761, 7983, 6589, 2149, 5322, 3751, 669, 2774, 6947, 6095, 7671, 3170, 7551, 467, 827, 1083, 519, 9773, 6911, 1563, 8788, 3742, 8130, 7850, 7992, 7094, 2002, 9531, 4235 ], [ 4067, 4982, 3445, 412, 9965, 9960, 3416, 8418, 3489, 8101, 8525, 2753, 2898, 494, 52, 1255, 3636, 5436, 3528, 5285, 1534, 7948, 251, 9952, 9970, 557, 5496, 3899, 6861, 8628, 4192, 7053, 8430, 7374, 4371, 3, 4341, 8283, 9181, 4012, 9614, 8348, 1714, 49, 4201, 9622, 2625, 1103, 2029, 2037, 4020, 516, 1441, 4508, 7087, 9512, 3745, 8460, 4904, 1551, 8847, 7401, 5034, 9108, 7356, 8516, 5463, 6203, 4873, 902, 860, 9077, 8770, 4295, 1861, 1212, 6216, 5456, 4764, 7359, 2274, 4324, 3108, 8197, 9848, 7466, 2317, 6182, 5669, 8840, 2210, 7642, 5430, 30, 3272, 5740, 2566, 8590, 1537, 9451, 9767, 5112, 4575, 3805, 4675, 9219, 5693, 1213, 4655, 3790, 4283, 8404, 5933, 8778, 3661, 3122, 2152, 8191, 8017, 3127, 9275, 4342, 1198, 1622, 5058, 3490, 5440, 5473, 584, 6487, 5417, 6934, 2888, 7324, 2766, 9324, 2507, 6136, 5250, 2226, 2518, 3320, 9486, 928, 930, 3346, 871, 6051, 2646, 8369, 7, 4301, 6478, 7386, 9530, 8482, 3406, 4395, 7184, 9922, 1831, 6313, 1335, 6980, 8528, 2798, 1120, 3786, 5025, 1706, 8452, 7243, 5385, 6166, 5880, 6176, 6997, 9230, 8264, 7903, 8333, 174, 3225, 2805, 3685, 6734, 663, 7864, 4805, 7339, 7143, 7459, 1435, 8275, 9058, 5321, 1154, 7969, 3064, 5888, 1471, 2554, 4009, 4705, 3449, 4534, 3200, 442, 4420, 5260, 5248, 5600, 3316, 9954, 3994, 3155, 3048, 6129, 9358, 7877, 6117, 5445, 4744, 3306, 4081, 9207, 8733, 103, 8042, 44, 432, 788, 2931, 7734, 3564, 4104, 5362, 8608, 2044, 8401, 2337, 3684, 3750, 5098, 6, 7867, 9354, 4972, 1350, 1951, 5809, 4251, 5395, 4046, 8127, 4606, 4814, 3891, 6404, 2765, 681, 8260, 4098, 832, 5134, 9475, 1128, 4618, 1057, 1011, 6808, 9932, 5465, 3491, 8397, 2243, 8284, 6915, 8449, 5105, 8600, 9840, 1361, 5536, 5905, 6110, 3053, 17, 5545, 6608, 4668, 5981, 212, 7151, 3283, 696, 1282, 7695, 1580, 2514, 6937, 7929, 4400, 6037, 8701, 667, 5854, 6807, 9945, 3892, 2808, 7342, 7344, 9635, 4493, 1983, 1323, 8646, 1428, 8100, 3310, 181, 3252, 4812, 7666, 7895, 6403, 9261, 743, 5196, 3232, 549, 7860, 9283, 2217, 65, 2198, 4971, 2629, 1565, 2988, 6373, 5419, 8268, 1770, 2161, 747, 89, 3408, 6786, 6072, 8428, 2185, 1540, 3749, 9557, 1588, 5280, 3905, 4695, 8159, 4629, 1654, 2935, 5542, 5258, 3775, 1499, 415, 2704, 7332, 7240, 6452, 7632, 1841, 6691, 3974, 3166, 1656, 7471, 4475, 8553, 6925, 7456, 2357, 2809, 908, 1366, 1882, 7083, 7185, 6229, 5815, 1047, 6265, 543, 4423, 9735, 8641, 1108, 6709, 60, 2363, 6624, 7861, 2690, 5222, 157, 4635, 9168, 3207, 2320, 9321, 2049, 8801, 3584, 6905, 1275, 5152, 2139, 8673, 8048, 8972, 1922, 2936, 4698, 5885, 200, 8596, 874, 2693, 5340, 9725, 7438, 3134, 2861, 5768, 6323, 9934, 9416, 2006, 3880, 7230, 4171, 2255, 178, 1577, 6614, 477, 3181, 5846, 2806, 3215, 4953, 4033, 8195, 3696, 7366, 6383, 7516, 1726, 9796, 9835, 3142, 4597, 9570, 4272, 5987, 2416, 7027, 3332, 8994, 1315, 7420, 3496, 1892, 7746, 3317, 6703, 6021, 8293, 5871, 1204, 4932, 8180, 7295, 670, 2235, 9864, 8928, 4503, 2116, 1639, 4262, 4150, 2433, 3328, 2944, 8901, 5722, 3678, 2712, 7594, 6735, 8758, 332, 4410, 6461, 8861, 2366, 4952, 8244, 5403, 9677, 2779, 5240, 3523, 2886, 1147, 1421, 8695, 3660, 7656, 3241, 206, 5477, 1377, 113, 4609, 2041, 364, 6716, 2222, 2685, 673, 1989, 3795, 6855, 4589, 1975, 8564, 8653, 7858, 5156, 1717, 7955, 2466, 922, 6194, 2005, 2377, 4055, 6144, 4065, 5129, 2465, 4068, 1546, 2296, 345, 3461, 2506, 2924, 8544, 7049, 7069, 1157, 3735, 9448, 6177, 8253, 6158, 1156, 1119, 1397, 6375, 8960, 6115, 9374, 5628, 7826, 7106, 8202, 1688, 6426, 8957, 2679, 1220, 1944, 7509, 7213, 5715, 6616, 8031, 4261, 8678, 4322, 4206, 1606, 7139, 9781, 98, 5359, 2197, 5599, 4407, 5775, 9636, 8951, 2232, 6968, 3057, 6935, 6386, 3380, 6474, 1678, 3138, 1266, 9032, 40, 2756, 6367, 7631, 9057, 4361, 6762, 975, 9481, 678, 6765, 6505, 5389, 8096, 3499, 9655, 5932, 1067, 660, 7561, 7134, 3017, 8413, 9027, 2897, 8307, 7229, 2023, 21, 9001, 1669, 3878, 7251, 8992, 8183, 6869, 9706, 5437, 3007, 869, 7526, 226, 2200, 6416, 5387, 1853, 5224, 4374, 8345, 8456, 756, 2251, 3656, 2153, 5914, 2009, 8128, 4648, 5391, 1143, 4616, 9709, 3339, 6353, 8257, 5042, 9175, 2124, 8462, 4921, 674, 1557, 4279, 6542, 6490, 3113, 5318, 7751, 598, 6984, 4677, 4398, 8947, 1504, 8030, 7885, 9118, 6132, 8986, 1709, 2780, 6156, 7154, 4369, 3950, 3804, 2528, 9174, 4350, 5199, 6767, 7180, 4397, 2879, 62, 8249, 1393, 4127, 9411, 8463, 2282, 8340, 6339, 4479, 93, 4023, 7535, 6011, 1443, 7181, 8311, 2326, 6049, 6169, 3686, 7722, 6525, 3962, 5611, 8557, 7082, 7211, 6663, 971, 129, 3593, 2490, 6581, 9578, 3027, 3901, 2894, 5339, 951, 3266, 4076, 3097, 2440, 4078, 3716, 8271, 3106, 8664, 2303, 7111, 1481, 9629, 8959, 3206, 720, 849, 19, 4233, 4736, 5580, 540, 8439, 7932, 9066, 1521, 480, 8160, 342, 5998, 2612, 2842, 6521, 7747, 3948, 4016, 3501, 8458, 2089, 9065, 105, 1265, 9884, 328, 2129, 7573, 1324, 9327, 357, 6736, 374, 8844, 2764, 9824, 4000, 7334, 1355, 7156, 5314, 7623, 8230, 8868, 950, 2380, 528, 2505, 3938, 4591, 3102, 3902, 9571, 2540, 906, 5955, 2789, 1238, 5581, 8144, 6099, 3646, 2553, 9957, 1231, 3942, 6344, 9736, 9163, 8812, 5368, 1301, 571, 8938, 7794, 3884, 5646, 7221, 288, 9009, 1948, 4123, 3764, 5746, 3032, 114, 9521, 5256, 1935, 9145, 8666, 9534, 3754, 2447, 2130, 2642, 4406, 716, 4826, 2720, 9463, 2469, 1737, 5106, 4510, 439, 9180, 9991, 863, 108, 3069, 2558, 1332, 2828, 9997, 9028, 6094, 9993, 3425, 1766, 679, 1809, 378, 1830, 3470, 1186, 9907, 7336, 4457, 5608, 8643, 6929, 7132, 6745, 5699, 7581, 9454, 9441, 8113, 4451, 7266, 2189, 1936, 4915, 1416, 8149, 6130, 9334, 5148, 4424, 597, 4889, 1771, 2233, 3635, 4954, 8709, 5005, 1395, 1217, 5374, 1061, 468, 5421, 5565, 1907, 6597, 5286, 6034, 946, 4815, 3152, 1005, 6381, 9940, 8089, 7034, 3961, 6388, 9042, 3508, 1849, 7491, 2777, 2179, 6904, 2253, 9113, 6776, 6384, 9084, 3672, 1486, 582, 4539, 7470, 912, 4509, 5821, 7755, 3670, 7299, 5376, 6743, 1870, 8870, 9144, 7874, 6696, 993, 2590, 8813, 5022, 1620, 9455, 8161, 3435, 3131, 6971, 7881, 1661, 2634, 5931, 3065, 8655, 2114, 6377, 3632, 5369, 8943, 8549, 3124, 8039, 453, 4271, 8927, 8839, 9583, 2529, 4643, 1051, 245, 5491, 6237, 8613, 641, 6018, 1929, 6293, 7163, 638, 2354, 5971, 6000, 5313, 867, 5361, 5535, 5543, 9847, 5788, 8499, 8995, 3145, 5654, 2085, 4333, 4137, 9300, 8364, 9701, 2475, 9914, 8325, 3606, 3759, 3423, 6536, 2584, 6601, 4245, 1111, 1066, 1900, 436, 3740, 5059, 7272, 9431, 6933, 5016, 5290, 3385, 983, 992, 845, 4013, 3542, 1360, 7098, 7810, 6871, 4116, 4876, 8672, 8281, 4709, 2119, 5781, 8730, 6329, 7568, 9078, 3920, 4186, 2344, 2234, 3792, 9251, 2849, 7981, 9341, 9211, 7313, 1698, 9632, 9887, 6165, 4492, 7220, 3330, 3922, 7321, 5380, 2105, 7320, 2702, 3752, 8834, 6784, 9080, 3972, 2272, 7116, 9503, 2800, 1485, 14, 5704, 665, 3214, 1568, 6345, 13, 1971, 7730, 1164, 4211, 613, 4138, 2077, 2744, 7086, 7731, 2778, 410, 529, 8233, 7784, 8688, 4619, 8897, 2847, 18, 6499, 1746, 3617, 2640, 1299, 5719, 7428, 3728, 4810, 3978, 6534, 398, 2186, 9786, 3171, 2616, 7303, 8978, 5113, 1642, 8704, 7675, 5966, 5434, 8464, 4430, 934, 1526, 7741, 6656, 2026, 3315, 7396, 372, 6636, 6758, 7995, 3534, 8640, 9480, 6566, 587, 7225, 4879, 8775, 8435, 9391, 4808, 3616, 2478, 8059, 5620, 7659, 6722, 6228, 1598, 1601, 1599, 355, 4166, 5077, 6783, 3293, 6154, 872, 9657, 6818, 1727, 2855, 4726, 8134, 513, 8903, 9067, 1677, 9740, 6218, 9752, 9832, 8169, 4325, 6770, 5921, 5661, 3409, 4354, 2636, 5225, 1665, 9836, 2407, 8982, 9705, 3363, 530, 3290, 8900, 4409, 6389, 7766, 7928, 3415, 1866, 161, 84, 8339, 713, 4540, 819, 1044, 9919, 9123, 444, 1478, 6544, 6509, 9436, 8635, 1358, 1952, 1305, 3911, 8035, 2521, 7975, 734, 3079, 7577, 4895, 6712, 9517, 3110, 3860, 6841, 8282, 3419, 4684, 5408, 7051, 470, 9186, 32, 7255, 8012, 6545, 3619, 4499, 2587, 4834, 4153, 710, 8436, 697, 3614, 2821, 8754, 8803, 2939, 2143, 8916, 3907, 1020, 1294, 3464, 9514, 2714, 8773, 9522, 3736, 7512, 7044, 5072, 8058, 6315, 6078, 1097, 5640, 2930, 9869, 8123, 8063, 170, 6083, 8718, 962, 1800, 5723, 4090, 1890, 6076, 267, 1593, 4857, 2160, 4842, 4299, 1758, 1288, 790, 2904, 8548, 3298, 3721, 1518, 1146, 5751, 851, 5304, 5484, 517, 9726, 2266, 1666, 1214, 9743, 7484, 5186, 8510, 3781, 8522, 4798, 3979, 9793, 5664, 861, 9800, 6713, 4463, 7888, 8073, 659, 4755, 3586, 3003, 8374, 4240, 4849, 785, 6843, 6062, 7073, 7996, 4964, 7145, 1209, 2261, 7707, 2635, 9363, 3244, 764, 1287, 8895, 2398, 6031, 6204, 5080, 3588, 2449, 2555, 6222, 8605, 3802, 4292, 55, 2305, 8602, 7951, 3760, 3642, 2401, 856, 2938, 1118, 8337, 6856, 9554, 5101, 207, 8614, 6231, 9146, 8054, 8321, 1539, 387, 9019, 3004, 4017, 8789, 1426, 4481, 7378, 3850, 3807, 3093, 2064, 1086, 1657, 6242, 836, 4004, 9215, 4583, 195, 9652, 2870, 1584, 5867, 1174, 2728, 9246, 3731, 2, 7638, 5411, 7702, 1906, 469, 4862, 7388, 7074, 4225, 405, 3737, 2406, 5069, 2520, 3386, 2463, 4949, 8014, 2453, 6939, 9329, 5399, 9634, 7373, 4025, 9723, 4767, 278, 7278, 3350, 8527, 8501, 9017, 3237, 3262, 729, 4546, 6686, 5764, 5111, 9775, 3719, 1785, 7822, 7698, 9949, 4919, 843, 2190, 3777, 6653, 6330, 581, 7591, 7789, 9091, 5613, 3389, 7584, 4737, 3967, 803, 6583, 8105, 4733, 1671, 3347, 2125, 3368, 8570, 3351, 6024, 5860, 6469, 7597, 4332, 8188, 8258, 5557, 3485, 1745, 9262, 3565, 2462, 556, 3059, 6199, 2367, 1585, 794, 6662, 4957, 9310, 7560, 4243, 680, 6723, 4802, 8833, 1180, 1862, 3842, 2986, 7709, 9857, 7060, 8141, 3739, 1885, 7424, 6603, 8767, 4351, 4827, 6029, 4883, 3653, 9667, 6364, 3354, 5567, 4621, 3965, 9338, 53, 2916, 7946, 2899, 6921, 7169, 1835, 9753, 1733, 3877, 7622, 905, 4738, 4774, 5191, 3046, 8457, 6371, 6868, 458, 7618, 1556, 5615, 6885, 9316, 9737, 1791, 5731, 5007, 8691, 3650, 4667, 6446, 9968, 156, 5462, 4936, 5838, 7719, 257, 5254, 189, 171, 4670, 4384, 3240, 9404, 7569, 7122, 664, 2934, 893, 5217, 8265, 3218, 5852, 4566, 3191, 3224, 5925, 4717, 8098, 3867, 3579, 9387, 6057, 4426, 2193, 2055, 7520, 3500, 1469, 4321, 1256, 563, 3575, 8165, 498, 430, 2586, 4229, 8099, 5006, 7733, 7940, 6180, 4631, 1218, 6442, 447, 9171, 6822, 6804, 3809, 1874, 818, 5162, 5183, 1670, 2977, 3538, 6632, 1188, 6153, 6687, 2644, 3753, 6959, 3305, 7492, 2992, 695, 7824, 3161, 5497, 236, 626, 1420, 9879, 9359, 3455, 2743, 933, 6221, 6161, 9303, 9287, 9607, 9605, 2951, 5084, 2503, 8315, 4714, 5242, 808, 6923, 9601, 6970, 3810, 1401, 1974, 8967, 7453, 6555, 2365, 4628, 8567, 4254, 9639, 8731, 5667, 4224, 699, 7361, 4906, 9103, 9687, 2184, 1460, 2826, 2963, 3697, 2300, 5031, 9528, 1363, 8858, 4844, 9045, 6318, 5187, 4504, 9560, 4507, 1730, 1608, 6728, 1538, 6846, 490, 7400, 2032, 4559, 4436, 6118, 6310, 7274, 9831, 644, 5076, 8732, 9054, 94, 6457, 3144, 9600, 4113, 526, 2438, 9830, 4712, 6385, 6068, 7831, 7097, 6550, 66, 1113, 8869, 3959, 1329, 769, 5505, 2588, 4801, 5500, 8049, 7070, 7760, 7840, 7276, 4077, 640, 126, 6675, 5210, 8478, 2066, 7510, 5518, 4393, 4379, 3384, 8412, 5907, 562, 7178, 1822, 5351, 1523, 6308, 9872, 2786, 9407, 5794, 4860, 3360, 7511, 6467, 88, 4853, 9043, 3238, 9398, 5388, 9377, 3254, 9777, 1627, 282, 2003, 7920, 6044, 1341, 3377, 3986, 5684, 9681, 6472, 1333, 3953, 1372, 6271, 3996, 1881, 4548, 6440, 2468, 9863, 7162, 8529, 8441, 3446, 2701, 5515, 3411, 1219, 7635, 8414, 3547, 8827, 9763, 4940, 5323, 5232, 3703, 8784, 6207, 5935, 4723, 6107, 2322, 6361, 2417, 8140, 9631, 4614, 7976, 8009, 2970, 766, 7108, 4817, 8125, 932, 3513, 8710, 4188, 7778, 1307, 7500, 2716, 9322, 5974, 2933, 8148, 5877, 1877, 7832, 4439, 866, 6035, 3115, 8515, 7938, 3323, 7725, 5420, 7483, 8145, 4870, 6484, 3432, 2945, 3075, 532, 222, 2649, 1650, 2036, 2098, 3700, 2056, 5967, 3852, 1536, 7514, 348, 4825, 3701, 3478, 7460, 146, 1691, 338, 8150, 3212, 1379, 1908, 2258, 9249, 1958, 2348, 3422, 4242, 3284, 5087, 9020, 3381, 205, 583, 5065, 8015, 7621, 3196, 7454, 1836, 8064, 1741, 8816, 6418, 8786, 1316, 5097, 4986, 9289, 9447, 116, 1529, 5054, 8964, 5996, 9307, 6174, 1239, 5666, 7133, 1684, 3143, 5802, 1181, 7572, 4828, 9086, 3825, 8762, 3637, 6638, 7308, 3314, 1467, 8663, 9995, 5328, 3970, 4796, 759, 4784, 7028, 6327, 7620, 8974, 7737, 8712, 7504, 9427, 4610, 9467, 7856, 5806, 9268, 3571, 4565, 6114, 825, 8915, 4405, 2020, 973, 8980, 180, 4389, 7808 ], [ 8155, 4562, 8848, 9509, 7654, 6079, 8067, 615, 2502, 7130, 2510, 9493, 2131, 6286, 6721, 7379, 4699, 3414, 4289, 8480, 4338, 8373, 2658, 4234, 4989, 1729, 501, 4750, 1986, 8561, 3356, 8763, 4003, 3515, 1381, 6872, 9286, 3263, 4315, 8023, 1321, 5813, 6088, 1206, 9818, 5886, 6276, 2327, 446, 2694, 9024, 5641, 5236, 3226, 8026, 2684, 9861, 748, 8466, 4365, 9645, 717, 2319, 5958, 5858, 9937, 86, 3312, 2491, 4934, 8210, 4087, 3995, 9135, 9418, 3344, 3654, 3038, 899, 1482, 9755, 5847, 1595, 8659, 9284, 6579, 6065, 7158, 5483, 8898, 3816, 6151, 5057, 741, 3203, 1842, 8013, 6175, 1859, 380, 4820, 6462, 3874, 9038, 1243, 3396, 5619, 6360, 5278, 8930, 5185, 4227, 5686, 2207, 577, 9070, 9618, 2314, 5977, 4185, 9173, 8196, 2823, 8199, 4447, 291, 672, 5612, 2392, 3012, 6982, 2297, 2976, 3250, 8448, 6949, 1925, 6942, 2746, 1132, 2727, 7847, 7931, 5691, 1916, 2494, 6238, 6003, 1384, 8398, 9805, 1091, 5587, 2332, 1716, 5424, 1022, 476, 7348, 942, 6710, 1978, 3778, 7265, 4291, 955, 5174, 6610, 2268, 767, 3639, 882, 2723, 4613, 3216, 72, 5203, 4731, 2004, 4890, 8886, 857, 2892, 2500, 1023, 7061, 4328, 961, 2070, 7474, 9788, 118, 4472, 3494, 8204, 7592, 4097, 2486, 8093, 6280, 5167, 1247, 9406, 4082, 5121, 8174, 852, 5120, 4455, 4623, 2126, 2241, 1919, 6299, 506, 9653, 877, 814, 2734, 9340, 6954, 6689, 3729, 6498, 7913, 9876, 9055, 8427, 175, 9616, 7326, 3914, 6805, 5108, 1436, 5475, 799, 7813, 9421, 6895, 4845, 5330, 8936, 6628, 4683, 9426, 883, 8676, 5534, 6208, 8455, 4691, 5070, 7844, 266, 4682, 466, 4343, 6302, 4202, 1926, 6717, 5348, 768, 5563, 2441, 4147, 5485, 4578, 8118, 2604, 6274, 9046, 4766, 6543, 9386, 7247, 7799, 8866, 3274, 4520, 9608, 7399, 8725, 6571, 5983, 4662, 4037, 9547, 8248, 3123, 4519, 7239, 6574, 3655, 2159, 5941, 4156, 6891, 7437, 8952, 631, 8361, 303, 2739, 3428, 9342, 8106, 9320, 7040, 4781, 6264, 7157, 5968, 4444, 624, 9471, 9435, 1858, 8680, 7841, 3009, 7770, 7949, 1283, 5947, 6920, 4768, 7029, 8512, 8301, 166, 6448, 8585, 9852, 5413, 3280, 2578, 4984, 569, 5404, 377, 9797, 7170, 4469, 4115, 7017, 841, 9604, 7267, 8405, 7112, 6475, 8963, 9237, 5539, 2196, 3247, 5051, 2946, 6395, 5976, 7389, 2499, 6254, 7096, 1927, 3956, 2791, 8305, 7056, 5002, 6298, 4800, 2385, 3963, 91, 2192, 6493, 6899, 4093, 1309, 7708, 3089, 579, 572, 3502, 1492, 41, 798, 4958, 7144, 7461, 2411, 6052, 7896, 5839, 655, 5655, 1215, 3444, 969, 3487, 774, 3358, 2917, 3164, 272, 9666, 727, 6149, 5999, 3839, 9692, 8390, 8354, 8217, 8052, 2164, 8849, 9450, 9977, 3373, 4599, 2310, 1762, 5407, 4605, 1564, 6282, 7952, 2867, 8242, 5574, 2984, 6584, 9375, 7527, 297, 6354, 5697, 7534, 3025, 8976, 2996, 8349, 2998, 6453, 2623, 9499, 1581, 7041, 9051, 3397, 5114, 9789, 5756, 9883, 6224, 4839, 3756, 3458, 7318, 7999, 1802, 4482, 6138, 6652, 5836, 545, 5365, 8476, 6425, 9911, 7375, 8909, 700, 9791, 1571, 4822, 9029, 3486, 2814, 534, 8066, 7859, 505, 5568, 923, 2418, 9399, 7607, 8599, 7875, 5614, 1216, 5760, 2585, 1560, 8647, 6193, 3398, 2134, 7319, 6460, 6553, 9975, 2729, 3813, 2964, 1184, 6437, 1050, 5127, 5831, 7494, 5151, 1509, 4380, 3037, 7852, 3846, 2673, 1202, 7150, 1032, 909, 9565, 4713, 3242, 3460, 6409, 5015, 8407, 9505, 1505, 3770, 7120, 3319, 5024, 8358, 5894, 7878, 193, 2477, 4022, 1398, 306, 3622, 1961, 3228, 1058, 1683, 3041, 5223, 3192, 7168, 8221, 1253, 4117, 2260, 527, 9833, 4149, 958, 2042, 4752, 6197, 5288, 9569, 7093, 2118, 9365, 2846, 3968, 1196, 3249, 6747, 7935, 9325, 1904, 8649, 3190, 8555, 6019, 9093, 3295, 7956, 9748, 4882, 4158, 9449, 473, 102, 5038, 3939, 2726, 50, 5785, 2864, 3029, 5037, 6465, 2461, 3080, 9827, 2601, 9689, 9996, 8776, 6127, 1586, 7966, 5749, 9974, 3897, 6650, 7161, 3338, 1693, 5263, 24, 4141, 7252, 4176, 6297, 3187, 7792, 235, 9369, 9630, 9378, 9506, 9052, 2887, 5110, 3049, 2940, 6251, 3833, 1774, 9121, 7496, 6906, 3353, 1796, 3925, 5952, 9047, 4612, 5135, 9385, 308, 7519, 8618, 1918, 1027, 4716, 3245, 1965, 524, 1034, 3605, 1004, 5066, 7331, 1405, 585, 9272, 6210, 4300, 5027, 5175, 6294, 2358, 2316, 7685, 1687, 8630, 8821, 7176, 1352, 5820, 4998, 7445, 7915, 6919, 1285, 1391, 6708, 7696, 6355, 2708, 7281, 8749, 8209, 8269, 7781, 4696, 5307, 7854, 954, 4928, 6730, 1782, 953, 1970, 6694, 4276, 8410, 3018, 8122, 2569, 6529, 1003, 1135, 7627, 2549, 5943, 2202, 5193, 2054, 1512, 9452, 4659, 5537, 4506, 9714, 9248, 5883, 5029, 7906, 9074, 4501, 3182, 6017, 9109, 9133, 7812, 8830, 9294, 9189, 6433, 5869, 3536, 9574, 5141, 3644, 9542, 5980, 2943, 5357, 8621, 4418, 3540, 1789, 2949, 4042, 9253, 9243, 9227, 6669, 4505, 3772, 1291, 7902, 2329, 9242, 7541, 3148, 6956, 3340, 554, 2695, 2706, 8403, 805, 9837, 3313, 3768, 4602, 1632, 2211, 7032, 8589, 9650, 5663, 2295, 3324, 8794, 8389, 9099, 1142, 4708, 6993, 1909, 2132, 9609, 9489, 2061, 6852, 3072, 6131, 711, 1692, 2675, 9665, 3563, 7636, 9566, 3392, 5514, 2537, 3999, 2174, 3410, 6414, 4672, 1104, 6640, 8724, 2273, 4917, 4198, 6755, 5216, 9147, 6912, 800, 5544, 6040, 4658, 7490, 2383, 1898, 8777, 7165, 8860, 599, 5549, 8609, 8111, 9247, 2991, 1347, 4368, 8571, 3379, 8578, 9124, 7986, 3793, 5520, 4572, 8910, 9182, 8021, 8158, 8442, 8050, 7425, 8824, 6952, 6817, 4922, 6829, 8547, 9005, 3669, 8556, 980, 9849, 9910, 4179, 6660, 5604, 5959, 3336, 8566, 8078, 2275, 1364, 2676, 9225, 7525, 3028, 1429, 6348, 5689, 7513, 4394, 448, 492, 7921, 8656, 9704, 7352, 8446, 2536, 4056, 4217, 2065, 4382, 145, 5489, 6027, 4823, 754, 5296, 6109, 8091, 7449, 3551, 8871, 7293, 2928, 1719, 3372, 2632, 2981, 9903, 7557, 2386, 2919, 2721, 7830, 5190, 5853, 5235, 9640, 9299, 5897, 3157, 9367, 7819, 8025, 7188, 2286, 5228, 7663, 7515, 4710, 2249, 3613, 5298, 8147, 4121, 1990, 1368, 6050, 6191, 6876, 2697, 5257, 6884, 771, 8072, 7351, 7624, 8579, 3264, 5633, 192, 1369, 6756, 6289, 9858, 6080, 8220, 2496, 2581, 269, 4725, 6732, 7716, 3201, 8024, 8842, 3991, 8163, 9482, 381, 2681, 4105, 2106, 7234, 7756, 5572, 9961, 8542, 9088, 3704, 8944, 6892, 9097, 2881, 5832, 9696, 8386, 521, 8576, 9214, 2091, 9296, 6888, 5848, 481, 8532, 4454, 8505, 8577, 9939, 9030, 7562, 3870, 864, 4112, 6215, 551, 6356, 9956, 8266, 2535, 6048, 4891, 4367, 6124, 9259, 6699, 3279, 5875, 3008, 6639, 3648, 1343, 523, 4258, 4305, 3160, 6441, 898, 9429, 4512, 7458, 3904, 967, 9453, 2576, 8359, 3555, 8523, 7614, 4260, 9158, 2504, 9155, 4071, 9678, 5300, 8558, 5508, 7013, 1658, 6187, 4079, 2824, 7554, 956, 4673, 4241, 1947, 991, 936, 1237, 7404, 7268, 7065, 6917, 8295, 7855, 7900, 6436, 9757, 5220, 4491, 3521, 5528, 2737, 4489, 4453, 2599, 1062, 8593, 8304, 1001, 1793, 5366, 9656, 2807, 360, 1872, 1272, 5165, 7077, 4944, 6720, 1993, 22, 4706, 8378, 5107, 5638, 5211, 7599, 7979, 9491, 3682, 1519, 2090, 7566, 6658, 8270, 8781, 6077, 1566, 3827, 5738, 7103, 5750, 9379, 7110, 2758, 6009, 9293, 7037, 1792, 183, 2479, 1449, 7431, 7853, 9724, 4933, 4594, 9081, 2643, 5961, 1554, 5856, 3088, 6990, 7311, 5103, 1517, 9149, 6611, 8167, 9732, 2301, 948, 1070, 1069, 5942, 2639, 4228, 1786, 2277, 8087, 5402, 1902, 3233, 2346, 7705, 1562, 2776, 2144, 2715, 8287, 4386, 3413, 3033, 9162, 5716, 8182, 7045, 9623, 9526, 4556, 2402, 541, 9535, 8278, 5327, 472, 8470, 7880, 5170, 1211, 5088, 7012, 1711, 9525, 7498, 2436, 2410, 6284, 9306, 8170, 8426, 4178, 379, 223, 3987, 5317, 9187, 1037, 8346, 1012, 4129, 5146, 9537, 7353, 1222, 6038, 1998, 8444, 1530, 820, 5343, 9264, 1637, 5739, 6729, 6830, 1380, 1074, 3853, 7764, 2309, 6086, 3554, 987, 36, 9588, 5985, 8380, 1813, 9414, 1125, 3506, 8774, 7544, 6598, 1817, 75, 1674, 4330, 6394, 3412, 1887, 371, 4846, 9546, 199, 3800, 7432, 5828, 4232, 3774, 4663, 4275, 6777, 6602, 3382, 3550, 5124, 3159, 1748, 5744, 1092, 9235, 7586, 9663, 725, 821, 5093, 606, 7590, 3535, 2212, 2195, 4364, 1293, 6270, 7690, 2390, 279, 2670, 4155, 2279, 7700, 5096, 4874, 2072, 3185, 6988, 3135, 2271, 7164, 5729, 221, 4413, 5559, 8494, 2515, 7806, 6290, 886, 2922, 9101, 6792, 2446, 8632, 6962, 8215, 8531, 9497, 5125, 325, 5206, 4666, 3492, 3854, 8850, 2994, 8684, 4356, 5482, 8911, 3278, 1888, 6903, 3638, 3581, 240, 6206, 2804, 9351, 8945, 7481, 1856, 5899, 5255, 8010, 5826, 4412, 429, 7478, 6291, 8382, 5326, 5680, 6148, 34, 5692, 2575, 1703, 9154, 3548, 6483, 1999, 8027, 570, 4302, 8357, 6840, 1095, 8583, 1479, 8488, 4027, 8686, 7862, 4007, 7364, 3863, 4568, 9199, 2871, 9711, 8884, 2084, 5367, 5378, 2034, 6470, 3607, 6023, 1988, 455, 6609, 7160, 833, 1053, 4073, 8347, 3909, 3875, 7467, 6677, 4968, 5833, 5687, 5431, 2434, 5553, 6813, 8, 1587, 1535, 5344, 2803, 8211, 4651, 3640, 1387, 1295, 7035, 1444, 8948, 2467, 7208, 594, 3111, 1225, 7345, 5525, 7235, 4678, 1893, 8921, 3558, 1960, 770, 9532, 5865, 9825, 6473, 6950, 2415, 1973, 3803, 7182, 1780, 1895, 7315, 8320, 4160, 1162, 2929, 5975, 522, 7846, 8853, 3888, 6659, 5377, 8962, 8968, 2564, 9586, 7524, 8815, 9641, 2730, 7488, 4334, 5467, 5884, 2782, 8854, 8818, 2349, 5271, 1304, 6803, 5589, 5917, 6382, 2353, 4058, 286, 1694, 2902, 4287, 7198, 6336, 1524, 5018, 3112, 2832, 1043, 9545, 8543, 6832, 4872, 8875, 4307, 8402, 2941, 1854, 1489, 8362, 3162, 9649, 1863, 7667, 9790, 4085, 6090, 7063, 1226, 3020, 7893, 1761, 990, 4014, 8200, 6858, 6751, 6128, 2007, 8318, 8537, 9220, 2876, 165, 2470, 3724, 3817, 619, 8132, 2561, 413, 6502, 4214, 9336, 9212, 4721, 9882, 7908, 5645, 3821, 4427, 7410, 4496, 4207, 1494, 6236, 4576, 1123, 1618, 7414, 7435, 2350, 4990, 3615, 3945, 2851, 5244, 8103, 8484, 2492, 6896, 3924, 3258, 2376, 9502, 9474, 552, 3822, 6793, 5792, 1811, 5233, 4693, 5527, 6376, 2869, 127, 7014, 2113, 48, 5264, 3230, 6097, 4632, 3625, 8759, 3857, 829, 637, 2404, 1548, 9888, 3689, 3699, 9659, 1910, 1807, 7836, 3722, 6272, 4267, 1742, 2359, 4045, 5997, 347, 7989, 5476, 6941, 3666, 4560, 4478, 7114, 9867, 8970, 1920, 2263, 5432, 1327, 4697, 6411, 6801, 4747, 1461, 6800, 287, 7172, 9771, 2394, 2788, 8336, 1652, 9125, 4094, 804, 6503, 2762, 5973, 8748, 2336, 6482, 8611, 5189, 7744, 7216, 8616, 5812, 9384, 497, 5672, 1555, 4585, 847, 8832, 3507, 546, 437, 3811, 4757, 3044, 2993, 9085, 8671, 7223, 243, 9644, 3677, 8760, 2513, 1354, 8226, 1638, 3427, 9986, 45, 7835, 8279, 6797, 8262, 5576, 162, 5887, 842, 2901, 6013, 4416, 9015, 8328, 1151, 6820, 8290, 7155, 6347, 9333, 5978, 5354, 9746, 2375, 5804, 2834, 888, 9776, 6674, 5951, 3954, 7236, 5079, 5770, 2655, 9742, 3869, 7197, 1848, 7033, 6619, 7918, 6978, 4624, 9941, 8843, 5622, 2858, 2705, 3717, 8717, 8286, 1017, 6101, 2000, 3281, 2741, 9488, 4523, 1106, 9930, 6985, 1775, 9670, 1110, 9595, 7807, 6368, 4103, 9962, 9041, 7961, 233, 3680, 9758, 5635, 3779, 4996, 4473, 7043, 7022, 3834, 2751, 2333, 391, 9785, 3797, 9865, 8906, 6897, 3784, 9116, 6391, 9161, 5863, 1923, 8498, 139, 938, 7536, 312, 2221, 2437, 5154, 9064, 9044, 120, 5074, 2912, 576, 5618, 8135, 2560, 7419, 5306, 3117, 1230, 7079, 9564, 132, 6928, 1102, 3418, 2748, 7816, 1718, 4366, 650, 4603, 2652, 3403, 8738, 6647, 4893, 1165, 736, 5924, 6621, 9976, 1532, 2817, 4790, 735, 2361, 848, 3365, 816, 8996, 1235, 6160, 3265, 2167, 738, 1869, 3912, 8440, 7926, 6141, 2027, 2974, 6681, 509, 2312, 8946, 8795, 1390, 1344, 3395, 3058, 5629, 4574, 5784, 3692, 5172, 23, 491, 8504, 42, 2111, 6417, 6816, 762, 5383, 5068, 3840, 488, 3977, 6070, 2542, 4777, 449, 1348, 870, 7934, 1340, 2618, 6570, 6486, 8783, 3567, 1386, 8536, 7341, 6402, 4218, 2619, 4134, 2754, 3993, 4929, 1371, 7030, 8057, 1969, 9260, 6753, 4484, 8443, 1177, 9838, 633, 9873, 1474, 2218, 5379, 5145, 9278, 4807, 4536, 478, 2155, 7440, 2427, 7883, 2942, 4967, 9540, 2117, 9780, 1740, 6519, 4237, 1625, 830, 3015, 8451, 7393, 3841, 3955, 9816, 1089, 2379, 7782, 4253, 1008, 216, 837, 1545, 592, 1281, 1648, 7355, 4408, 853, 1178, 9390, 7189, 3421, 3434, 8205, 1466, 4997, 8080, 2058, 8481, 2519, 2923, 7950, 4966, 9350, 1647, 343, 5526, 5582, 2393, 5766, 9964, 1723, 6147, 5392, 6641, 5690, 7066, 8595, 2011, 2248, 9277, 8396, 601, 915, 4939, 8904, 7567, 9000, 2732, 5501, 3076, 9931, 187, 1145, 5837, 6033, 7763, 9021, 6234, 694, 7076, 8045, 5401, 3936, 8539, 8941, 4843, 2307, 6061, 5261, 5507, 6866, 4191, 20, 4164, 5502, 623, 2092, 7001, 6351, 7191, 7296, 5442, 6724, 7443, 7343, 4569, 3629, 2399, 3039, 1794, 5375, 1705, 1840, 5811, 9591, 7549, 5049, 7613, 8894, 7023, 6306, 7619, 8729, 8674 ], [ 2787, 1496, 7394, 4809, 5312, 4216, 8807, 4485, 7256, 1764, 9244, 5390, 2194, 6349, 9551, 7406, 5122, 6568, 6737, 4804, 8689, 1171, 3712, 588, 1448, 8988, 8370, 6226, 5650, 3741, 2980, 9033, 1464, 3573, 3227, 6960, 2240, 6443, 2648, 3990, 1254, 7452, 310, 142, 9580, 5207, 7662, 5938, 6620, 7166, 1408, 5418, 9485, 1136, 8623, 5102, 1495, 7442, 2959, 1451, 6288, 8005, 2641, 5862, 3001, 8003, 4018, 5900, 4832, 1938, 2656, 913, 7910, 6631, 1046, 6648, 5550, 1976, 2664, 8153, 4679, 7301, 6953, 5607, 4172, 1911, 3139, 2068, 6594, 1148, 2816, 218, 5136, 8001, 7080, 8384, 6766, 1170, 6223, 4270, 7942, 4209, 9524, 9707, 1085, 2443, 4909, 9619, 7380, 3068, 4306, 4375, 2450, 1573, 3147, 7297, 8108, 6337, 1055, 2166, 8152, 5759, 9799, 4266, 7279, 9878, 4756, 1788, 7307, 7346, 9031, 2387, 5040, 253, 7006, 9990, 5139, 787, 6764, 7644, 963, 1317, 4159, 773, 6507, 4031, 6595, 4458, 5984, 6540, 3479, 5308, 2324, 6967, 9326, 407, 5044, 4868, 3176, 5685, 8181, 4318, 5450, 3433, 7121, 5698, 7403, 3683, 8819, 7338, 2355, 9023, 7495, 791, 2831, 8310, 7640, 8240, 5345, 4010, 8416, 3488, 210, 5305, 2078, 7555, 4064, 1697, 134, 4907, 6586, 3931, 1760, 5281, 8319, 8810, 9654, 6108, 4021, 7054, 5050, 6084, 9309, 9476, 5, 6576, 3707, 3016, 7212, 6754, 6760, 4248, 949, 4665, 645, 3077, 3848, 3732, 5194, 321, 617, 2595, 5221, 9464, 1166, 8016, 9204, 1415, 7780, 2483, 7909, 3663, 9469, 4467, 4177, 2884, 5631, 6476, 8891, 6092, 7228, 7629, 2304, 7131, 2508, 5817, 186, 5017, 3209, 8047, 6362, 6664, 4778, 3149, 7207, 9440, 538, 4348, 7314, 2397, 8722, 121, 3098, 5137, 6577, 1612, 5276, 9478, 4460, 2476, 5765, 5090, 9472, 9444, 2028, 5157, 8267, 5972, 9395, 9105, 7078, 6020, 7901, 3641, 1567, 4043, 1685, 5627, 9002, 3599, 5350, 6886, 3883, 4937, 3946, 7649, 8606, 196, 3087, 1048, 1672, 1931, 7306, 4309, 3923, 7368, 812, 5427, 7833, 7328, 2961, 3342, 90, 1331, 6812, 9633, 7820, 5709, 4173, 6001, 7550, 234, 4514, 9152, 4102, 9266, 1981, 1349, 4107, 3292, 3471, 8491, 7147, 417, 7745, 5683, 1623, 8193, 5737, 4219, 8925, 8753, 31, 937, 4799, 7271, 3457, 401, 8477, 4392, 7604, 9951, 9076, 7585, 3896, 5714, 9668, 7433, 6974, 7282, 3539, 924, 9217, 7532, 2181, 7055, 150, 8164, 1430, 5045, 6863, 1394, 4238, 7985, 2284, 6085, 9362, 3481, 2589, 6527, 271, 7673, 2429, 9075, 2794, 3812, 4363, 7876, 263, 7075, 2608, 9749, 7868, 8862, 5616, 3198, 38, 3541, 2071, 3476, 3031, 5021, 9854, 5936, 7015, 8973, 8881, 894, 8251, 760, 4396, 3153, 8234, 952, 3876, 4459, 7224, 6850, 2605, 176, 2838, 4773, 2391, 2052, 7245, 5859, 274, 6768, 3856, 6599, 5892, 2481, 9318, 8037, 6295, 6746, 7547, 35, 2874, 5410, 6322, 276, 7759, 433, 7316, 424, 1690, 8028, 7617, 219, 6379, 9766, 4048, 7128, 9853, 5067, 136, 4050, 5834, 7706, 3658, 8670, 9672, 1328, 881, 7335, 479, 1752, 995, 9094, 5177, 2454, 5679, 3549, 3504, 900, 6775, 1353, 3084, 3574, 1359, 3830, 9675, 5341, 1477, 6836, 6657, 9881, 9562, 5381, 7124, 3755, 3173, 4831, 1279, 1152, 5617, 5400, 3019, 5159, 4461, 1860, 4573, 5130, 1680, 4086, 7232, 5920, 1077, 8841, 3030, 1828, 213, 4495, 903, 3287, 335, 632, 5204, 7190, 1728, 5511, 7292, 1713, 5370, 7117, 4567, 8453, 4905, 1977, 2458, 3676, 4471, 6865, 3468, 9165, 358, 5519, 8004, 8745, 3934, 5158, 1825, 8610, 4431, 9925, 191, 4488, 5870, 3832, 6142, 9157, 6008, 1777, 500, 9720, 443, 3631, 4852, 9010, 5595, 168, 3864, 214, 3620, 2220, 6697, 3545, 7970, 5046, 9856, 4978, 675, 8061, 2311, 6005, 2845, 6779, 7473, 392, 2522, 8493, 327, 5733, 704, 6881, 3179, 5735, 8479, 3066, 5891, 5623, 5944, 6430, 7058, 5030, 1141, 7889, 3657, 7645, 3463, 1915, 2018, 6972, 9660, 5799, 6707, 2900, 4930, 8276, 3021, 8323, 5747, 6831, 264, 1781, 3407, 2975, 4110, 6481, 7238, 3104, 2771, 2713, 1917, 367, 5953, 620, 7365, 4083, 5634, 2878, 452, 9798, 8912, 7497, 705, 1406, 9252, 904, 4908, 1339, 9166, 6104, 4246, 8882, 1040, 7192, 999, 3932, 6944, 1036, 8661, 6964, 2128, 6081, 9980, 9541, 2517, 1000, 9703, 4039, 370, 1810, 5898, 8032, 7596, 6890, 801, 3518, 4980, 5063, 1873, 8492, 4429, 9143, 1076, 4008, 9553, 4054, 7071, 9117, 4404, 9828, 1223, 4358, 7210, 2176, 8622, 9500, 2562, 1234, 7677, 5889, 7000, 4916, 2122, 2082, 9013, 3000, 8757, 4212, 5878, 5184, 8040, 3691, 1592, 1734, 5382, 7546, 4811, 7689, 8256, 9826, 1949, 965, 5470, 2760, 9874, 9191, 1668, 2906, 5585, 5742, 7924, 9808, 2671, 9119, 6752, 5584, 4530, 1528, 1138, 744, 8645, 5829, 6162, 5919, 4620, 4881, 5325, 2907, 8229, 9151, 3231, 8747, 8343, 1891, 4119, 6564, 1967, 4639, 8828, 6757, 5201, 4715, 7681, 8933, 3442, 3369, 6748, 1365, 9201, 5337, 740, 9352, 8604, 7206, 2628, 9686, 4991, 5529, 1389, 2660, 3711, 7048, 376, 643, 1897, 8107, 3983, 7357, 9473, 755, 6761, 4987, 2430, 2551, 7264, 6680, 7125, 8487, 3364, 2718, 5755, 173, 8041, 758, 9437, 8117, 5229, 6690, 3871, 6006, 2910, 1297, 385, 8408, 9628, 6975, 9459, 7686, 1857, 8467, 2645, 9784, 1325, 6406, 3533, 802, 1498, 4965, 7287, 3349, 1833, 1472, 7718, 1268, 3261, 9794, 3744, 5913, 9060, 4114, 8721, 7753, 7563, 464, 9114, 7606, 7370, 5488, 7242, 7818, 1480, 9348, 7174, 3767, 6725, 3576, 508, 4748, 246, 5036, 6103, 6538, 9130, 9880, 3070, 7752, 1326, 8918, 280, 1994, 3202, 3302, 6679, 6250, 5665, 9866, 1640, 2094, 248, 8520, 4941, 4945, 8519, 2827, 9484, 662, 5035, 5231, 8675, 6075, 9617, 2299, 7774, 2532, 2230, 3881, 3849, 260, 3060, 4249, 6528, 9950, 1630, 489, 9713, 8237, 7233, 3167, 8474, 2755, 6790, 3085, 418, 4049, 9875, 9822, 4063, 1068, 1829, 293, 783, 634, 8554, 1963, 4060, 3847, 9955, 7791, 1834, 7800, 5711, 5603, 568, 6492, 6171, 9137, 3906, 5754, 5805, 1676, 4464, 6604, 1310, 2692, 5945, 2733, 9716, 4702, 1715, 5929, 1838, 8375, 2908, 2201, 1575, 9507, 1655, 4200, 1749, 9513, 6785, 2873, 5637, 9311, 6673, 4124, 5495, 5855, 4194, 9383, 2424, 3193, 5573, 1318, 2677, 4314, 8756, 6263, 4760, 7395, 247, 8046, 3960, 3114, 7031, 2162, 6163, 1090, 8352, 3133, 1739, 5020, 4537, 5472, 1797, 5939, 5810, 2883, 3597, 7898, 7463, 283, 3630, 3371, 7202, 8142, 204, 9662, 1423, 1440, 2781, 7602, 3885, 9728, 724, 2877, 8157, 3589, 6835, 133, 8914, 1914, 2219, 4913, 58, 9688, 8411, 5909, 6122, 9679, 6423, 7558, 5119, 3154, 5713, 4818, 3055, 4581, 875, 3828, 8563, 4220, 5757, 6253, 7149, 2302, 2749, 5481, 8518, 6112, 3941, 3553, 3726, 765, 9992, 2158, 2074, 1641, 273, 9783, 9373, 5843, 2763, 8119, 3429, 6898, 4992, 7790, 6718, 9558, 5234, 7450, 9543, 2444, 714, 2699, 8958, 2818, 2815, 7974, 4742, 732, 4066, 3509, 6328, 5356, 5774, 4769, 6275, 4099, 1205, 2768, 7214, 2837, 4543, 9198, 5324, 2224, 2205, 9590, 4681, 4836, 135, 5425, 5677, 3341, 8780, 8274, 2395, 2965, 402, 5710, 2456, 5668, 4704, 5940, 6152, 5874, 9520, 7657, 9292, 8092, 9739, 2257, 1913, 9371, 3118, 4111, 531, 5555, 4128, 3633, 5004, 7095, 7839, 7141, 201, 3715, 6105, 9487, 6186, 7383, 7886, 5824, 775, 4911, 3915, 1346, 8214, 9896, 261, 2813, 1487, 3309, 2653, 1271, 5155, 6195, 7416, 4308, 8355, 5896, 228, 6159, 6261, 2204, 896, 10, 7817, 2081, 2736, 2170, 2246, 6698, 344, 3583, 3436, 397, 6054, 256, 7387, 1378, 5910, 7472, 9239, 421, 3390, 5674, 6859, 4476, 1962, 859, 4378, 8316, 7263, 101, 3572, 3698, 7601, 6243, 7465, 351, 9461, 3119, 3308, 2707, 5540, 7537, 6046, 6196, 9317, 3748, 1510, 1431, 3273, 6634, 3937, 4521, 9820, 3695, 6400, 1500, 7879, 5179, 8332, 6781, 4707, 6986, 9330, 5845, 454, 7258, 3183, 5262, 8716, 683, 3687, 7962, 2885, 92, 7923, 5670, 7749, 5458, 2292, 8131, 5178, 4961, 4830, 8360, 5676, 7091, 646, 3472, 7088, 9850, 5601, 1280, 7153, 4303, 6851, 346, 3785, 2171, 2414, 5334, 386, 2512, 2426, 3782, 3453, 4095, 5082, 6506, 7340, 5915, 7008, 6260, 7661, 2242, 5273, 3601, 5188, 4034, 514, 6301, 1473, 854, 4824, 3665, 337, 4126, 739, 9510, 8652, 495, 1604, 9408, 4189, 4689, 6211, 5252, 2420, 6285, 822, 4759, 9868, 8872, 9492, 1306, 2626, 8250, 656, 2088, 6066, 7325, 1311, 9011, 9813, 5726, 1940, 3815, 2298, 6749, 8102, 3823, 8173, 6455, 9782, 9647, 6508, 2683, 1338, 5251, 1851, 8681, 224, 8739, 7362, 3174, 2442, 7998, 9909, 5001, 3714, 826, 6998, 5990, 4331, 7021, 1725, 8530, 4688, 185, 8110, 7136, 6307, 4096, 3424, 603, 4787, 7684, 1418, 8231, 4421, 3370, 7421, 445, 9860, 2722, 6374, 5949, 3889, 6910, 7415, 988, 4142, 1879, 1808, 5032, 3355, 5771, 8126, 5513, 9821, 706, 7703, 1979, 5274, 7701, 438, 4701, 8422, 5086, 6041, 9295, 666, 4970, 2556, 728, 2617, 4487, 97, 8660, 1992, 8782, 8924, 7634, 6907, 5678, 8139, 4687, 8728, 8737, 7381, 2225, 2335, 9669, 997, 5457, 9855, 3208, 4148, 1624, 5786, 6678, 3063, 6590, 1502, 5449, 3595, 9142, 1229, 1732, 3835, 7897, 2983, 8746, 6247, 9428, 9772, 757, 7250, 5089, 2254, 7101, 9319, 6685, 8203, 2293, 5879, 9282, 7863, 5198, 9111, 1072, 1972, 1169, 2544, 5405, 4685, 482, 9089, 4864, 1699, 9594, 6324, 6164, 1427, 1276, 8409, 9722, 4036, 1049, 2724, 793, 4946, 6491, 575, 5396, 9710, 7648, 9256, 504, 1886, 1763, 3465, 209, 1747, 4109, 565, 8313, 368, 9315, 6305, 6546, 2330, 6976, 9599, 3943, 7304, 5906, 7714, 63, 9106, 375, 2579, 1163, 8979, 5642, 152, 5651, 6714, 7587, 2663, 1778, 394, 6233, 3235, 6512, 3388, 9501, 6387, 4838, 3177, 5301, 2582, 2287, 3634, 5149, 2896, 7025, 3679, 2893, 8626, 6554, 4370, 4550, 4285, 2567, 7669, 7834, 1322, 1182, 3271, 3733, 9361, 578, 9257, 5523, 9014, 5673, 9018, 1191, 1720, 9685, 4015, 5026, 4204, 1572, 7227, 8151, 4280, 6833, 1501, 9803, 7612, 5166, 3006, 4749, 6740, 7777, 5593, 3886, 6135, 9734, 4718, 9308, 6600, 4387, 9620, 179, 8989, 5168, 4092, 9305, 676, 4880, 5160, 5169, 1269, 7891, 7742, 8415, 3652, 4674, 8465, 3404, 8991, 9132, 6045, 2875, 2409, 9396, 8018, 4981, 8779, 733, 2384, 1821, 2836, 3776, 9870, 4120, 9658, 7390, 4373, 6682, 6312, 8856, 4500, 8070, 4711, 9561, 26, 4690, 3092, 6705, 3668, 2141, 7422, 2451, 537, 2321, 1649, 3664, 1852, 9422, 3898, 5091, 1542, 1149, 691, 752, 6995, 1590, 6380, 8334, 9516, 4549, 593, 1816, 4656, 9337, 8627, 9193, 5767, 4417, 9353, 5423, 2069, 4259, 8306, 2918, 796, 941, 2495, 4867, 707, 1262, 4995, 5720, 9893, 8715, 4181, 8218, 4239, 4231, 7503, 6558, 9944, 262, 6240, 9213, 2331, 4772, 921, 9693, 9756, 6331, 4030, 4529, 4887, 9016, 8586, 2345, 2700, 3973, 7980, 8550, 3061, 5372, 9323, 7530, 1628, 2829, 5227, 1558, 2079, 3859, 4187, 1450, 7179, 6311, 3165, 304, 2682, 2583, 8975, 6692, 5835, 3921, 9984, 1018, 780, 459, 9871, 5053, 3141, 2572, 3050, 9695, 4434, 2678, 2046, 1446, 3026, 241, 1411, 5814, 25, 2051, 5422, 9393, 9555, 3814, 3975, 3789, 3239, 7647, 2761, 6188, 420, 3887, 9102, 1966, 238, 6951, 2674, 3628, 9442, 3580, 1437, 9205, 3511, 2142, 1982, 2527, 2530, 4745, 6591, 5752, 1117, 3448, 6739, 1075, 8421, 4892, 4654, 3866, 8805, 7795, 8890, 3297, 7499, 5100, 9626, 3186, 1984, 9228, 4561, 7556, 6999, 9314, 8094, 1367, 9037, 2264, 682, 2948, 5873, 1417, 2180, 8192, 1410, 1096, 5532, 1259, 5452, 1735, 8679, 9263, 2008, 3562, 5825, 1889, 3621, 9185, 9921, 777, 3081, 7397, 3213, 6340, 8569, 6225, 3405, 8079, 6838, 3808, 6431, 8966, 4650, 2686, 9068, 7965, 1475, 7249, 612, 2703, 6845, 1759, 547, 1636, 6321, 1653, 1513, 4806, 5126, 887, 5721, 8395, 3348, 8809, 5923, 8243, 8219, 4580, 5816, 9265, 6879, 9697, 4719, 8366, 3105, 6671, 2163, 5605, 4535, 7738, 2045, 533, 9216, 4074, 4513, 9684, 4327, 6857, 2035, 8634, 2802, 555, 3512, 1798, 8755, 3107, 6825, 5823, 8133, 3791, 1289, 2115, 8764, 1899, 450, 901, 5503, 9582, 1028, 9496, 2252, 5730, 1664, 9646, 6463, 7982, 9053, 2911, 9559, 6058, 4263, 2775, 4391, 3771, 3493, 6091, 9892, 1007, 6485, 7857, 331, 9112, 5636, 1105, 8696, 3054, 5153, 4926, 6537, 1950, 5893, 9, 4598, 8682, 5594, 2790, 8241, 6126, 6042, 2047, 2848, 4286, 2742, 5397, 499, 1260, 9539, 7954, 636, 4692, 7254, 5830, 1506, 5269, 2591, 8726, 5352, 451, 5237, 7337, 1263, 2362, 462, 1968, 39, 425, 316, 9581, 4296, 2920, 1724, 589, 661, 2872, 4743, 3096, 7796, 2109, 8584, 4320, 3223, 9036, 1277, 4399, 1071, 722, 1824, 2203, 608, 5360, 2498, 939, 4741, 7222, 8206, 8552, 3762, 230, 9218, 6771, 2709, 2188, 3949, 8685, 1208, 8535, 8207, 3130, 6449, 7290, 1662, 8706, 2022, 2835, 1396, 6184, 5435, 3480, 5753, 9683, 6900, 3005, 7939, 3671, 8002, 817, 2086, 2215, 6668, 1080, 4486, 365, 5556, 7257, 2030, 8168, 3765, 6862, 6150, 259, 2541, 2857, 6326, 3277, 6139, 5562, 560, 1290, 7665, 6834, 5073, 8700, 131, 3099 ], [ 8752, 6979, 2953, 0, 8296, 9458, 5531, 7904, 3879, 5725, 57, 6303, 3868, 1946, 6014, 1941, 3477, 8259, 3837, 1422, 926, 2958, 5793, 7310, 1424, 1447, 289, 2611, 2455, 1939, 8703, 4604, 3865, 2280, 7783, 6644, 2104, 8541, 5872, 4278, 1987, 6948, 4038, 5962, 9999, 1583, 77, 1855, 6209, 4304, 6916, 1025, 7036, 9465, 5364, 6064, 8892, 2999, 5315, 2308, 326, 3559, 6232, 9598, 4335, 5644, 2075, 3326, 2459, 5239, 8075, 1503, 8038, 8393, 7081, 1515, 984, 6378, 9401, 7205, 2859, 3893, 9585, 6350, 5238, 1754, 1673, 6741, 73, 6965, 838, 806, 8802, 285, 4633, 6181, 3517, 8235, 6883, 7664, 5986, 1864, 4720, 4029, 7261, 6778, 296, 8851, 4163, 9699, 5890, 1613, 9926, 1168, 3051, 1153, 1682, 294, 1722, 7994, 9419, 1376, 4062, 5598, 5426, 1019, 3900, 5498, 7990, 8694, 5279, 2795, 1197, 3234, 1098, 6588, 3958, 4372, 217, 340, 9468, 8143, 3913, 596, 1541, 5561, 5412, 730, 657, 3210, 6335, 1611, 1591, 6036, 4588, 3034, 1264, 9063, 1579, 43, 920, 404, 9592, 8612, 5703, 4775, 5588, 3158, 2770, 6067, 9843, 518, 2356, 2654, 897, 6074, 6420, 29, 6983, 281, 6518, 177, 1130, 8540, 1801, 2120, 7873, 3140, 1139, 4976, 2340, 792, 7757, 5745, 8905, 7109, 4006, 64, 4900, 184, 5123, 2369, 6515, 4664, 1016, 5950, 334, 8865, 8154, 7003, 844, 2338, 2372, 9845, 8329, 7119, 4786, 4641, 4660, 1192, 6511, 5302, 8363, 5797, 6526, 8594, 5653, 239, 6994, 6087, 8744, 5808, 4167, 2543, 1383, 2289, 8719, 8341, 3014, 7727, 9676, 2997, 4088, 8883, 3383, 8693, 8496, 4052, 4125, 9664, 982, 4353, 2227, 4165, 4788, 7275, 6563, 1493, 9433, 2783, 9751, 1634, 5415, 5270, 6316, 5902, 3052, 7521, 6495, 2689, 968, 8929, 2370, 5566, 2895, 7588, 9405, 275, 6480, 6363, 4290, 8814, 1084, 9918, 1768, 4210, 2013, 1414, 8368, 986, 8953, 7721, 6464, 3787, 1399, 295, 3248, 80, 1544, 4835, 4226, 8727, 4215, 2580, 4323, 123, 1425, 3205, 8799, 3121, 4888, 8657, 5827, 8433, 7173, 4195, 6880, 6887, 2425, 8798, 6266, 7968, 5039, 1002, 947, 9804, 8735, 7423, 2083, 9612, 6844, 6870, 76, 7694, 9110, 3437, 8885, 1743, 315, 1056, 1337, 3537, 5937, 4072, 1193, 99, 1615, 7960, 2932, 2351, 3882, 3285, 1956, 2982, 7298, 3156, 3311, 9981, 5094, 4785, 7658, 268, 1924, 8008, 5200, 647, 9394, 8981, 122, 1465, 8116, 460, 9905, 487, 6996, 5694, 2482, 2950, 5212, 3150, 7016, 5708, 688, 7943, 5466, 5441, 602, 8965, 3596, 252, 7194, 781, 2396, 9131, 8581, 9741, 1839, 8322, 9197, 1250, 1232, 6125, 2460, 548, 935, 8222, 6082, 8750, 8156, 1059, 7137, 2145, 3497, 4732, 9400, 2182, 7916, 1702, 3194, 7444, 9169, 4168, 9409, 2209, 7092, 610, 4169, 5355, 4294, 9490, 2060, 3197, 96, 9819, 6520, 6864, 9548, 8081, 9891, 4789, 1039, 9270, 652, 9059, 109, 7244, 4144, 1755, 3361, 2448, 8568, 1201, 6637, 4553, 2688, 919, 5851, 5630, 1292, 7175, 6585, 4554, 5398, 6309, 8399, 5991, 6456, 9082, 2563, 8069, 147, 9138, 4002, 3957, 8076, 535, 1296, 3439, 9744, 4563, 7201, 7468, 3780, 6039, 9298, 4146, 5789, 9584, 7085, 172, 1112, 4544, 8826, 5205, 5371, 2112, 9807, 5780, 5474, 8172, 2820, 3151, 7580, 5783, 940, 2191, 5052, 9012, 1065, 1081, 6989, 811, 4985, 8011, 6489, 1258, 6627, 7814, 8104, 4282, 8120, 3466, 1773, 8506, 855, 1633, 4494, 4877, 5143, 4340, 3322, 7574, 1933, 5014, 7894, 6882, 6877, 4859, 5492, 7683, 8034, 7720, 6605, 2526, 957, 9702, 9229, 5736, 1488, 917, 6412, 2925, 4442, 2853, 3723, 8619, 6255, 2796, 9430, 9700, 5009, 1195, 4145, 6787, 7616, 9906, 3067, 9533, 6987, 5718, 7129, 778, 2773, 9978, 7317, 6248, 3706, 4700, 5041, 7260, 6134, 2952, 6249, 7699, 4771, 138, 319, 7305, 8356, 4545, 7441, 1959, 5850, 9456, 1336, 4197, 5928, 2259, 9184, 5176, 4297, 7639, 3560, 9814, 3794, 4059, 5912, 2244, 4819, 9515, 7363, 1871, 5081, 8768, 7195, 3103, 943, 3918, 1100, 1388, 698, 3747, 9552, 6450, 9973, 5386, 3758, 9651, 3366, 6943, 6894, 4914, 1845, 964, 4401, 353, 1140, 7670, 5701, 1014, 3799, 5028, 8273, 6815, 4256, 5478, 7330, 1934, 8299, 3482, 9412, 6607, 884, 7761, 9801, 7643, 7367, 8232, 5173, 7113, 4257, 9959, 7072, 3236, 5734, 7448, 485, 2423, 6396, 7508, 1158, 4131, 8176, 9372, 9355, 7615, 709, 5142, 7127, 3718, 2801, 810, 1176, 5192, 3708, 5013, 8651, 7350, 8115, 3826, 5448, 2593, 2175, 4931, 104, 8591, 3992, 2669, 7138, 2547, 4637, 3930, 8983, 9573, 5876, 879, 2610, 7529, 4525, 9006, 9894, 8379, 7739, 8545, 9357, 9397, 8438, 5294, 3334, 8942, 7575, 7630, 1607, 3282, 6140, 1246, 7945, 9971, 1438, 4136, 890, 8574, 1073, 6931, 3402, 4035, 4647, 3430, 1995, 1236, 2957, 9769, 1880, 7651, 6422, 5164, 4312, 237, 301, 9273, 862, 7253, 7052, 7451, 6220, 5538, 8388, 558, 776, 6030, 3450, 502, 465, 6427, 3116, 7270, 5782, 2672, 7427, 4288, 4791, 4793, 6587, 7984, 1093, 8985, 8238, 2213, 389, 1015, 9096, 8582, 6676, 7369, 37, 8633, 198, 6854, 160, 1251, 5777, 1783, 2647, 3289, 8598, 8198, 2750, 831, 3544, 4319, 9948, 1185, 3483, 9596, 7837, 7148, 7779, 8811, 2570, 7838, 158, 1629, 9188, 7692, 2043, 9787, 9982, 8060, 3002, 6146, 7123, 8033, 6333, 8859, 3831, 4265, 1814, 3043, 5336, 4180, 1244, 1199, 7377, 1582, 3163, 7482, 2966, 8565, 6893, 3773, 4878, 5487, 996, 9729, 8889, 3612, 6821, 3980, 9747, 846, 4162, 4994, 5195, 605, 5656, 2524, 2637, 9195, 8864, 4740, 1516, 5446, 107, 2638, 9923, 6940, 151, 3998, 511, 8987, 4630, 9671, 232, 4269, 5320, 5857, 6192, 8734, 4858, 6278, 7944, 1409, 3525, 2967, 8112, 8597, 9936, 6991, 1038, 3447, 1094, 2247, 5592, 9274, 1116, 7687, 6370, 8852, 4132, 4821, 9567, 7084, 8425, 1985, 7018, 5748, 5554, 2866, 5316, 4901, 5657, 83, 9022, 3908, 2073, 8236, 5085, 2405, 2497, 9382, 985, 3505, 2231, 2903, 7593, 8625, 3417, 6359, 8088, 6089, 2624, 2621, 5541, 5954, 7964, 6548, 8292, 8432, 9851, 9222, 6573, 7711, 5297, 7186, 5346, 2472, 6688, 4352, 9935, 2568, 9715, 6533, 7118, 3824, 4920, 7285, 1865, 8879, 4608, 215, 7007, 4448, 9039, 2239, 4428, 440, 4626, 809, 300, 5338, 8485, 4497, 2822, 5147, 2103, 8697, 5267, 7851, 8740, 4782, 9615, 4595, 111, 483, 5061, 4564, 4024, 3851, 5712, 2833, 9904, 5253, 715, 9898, 3300, 1313, 8631, 4182, 4157, 5406, 1150, 1508, 5265, 7991, 559, 1769, 4344, 8468, 4855, 1144, 419, 3101, 2339, 1114, 5464, 4587, 8280, 3120, 9203, 3969, 2969, 1240, 6612, 3036, 9900, 503, 6908, 3267, 8961, 2183, 2868, 311, 5606, 5202, 3243, 5461, 1614, 8639, 9953, 3343, 4133, 7559, 3928, 8208, 6559, 1030, 5727, 3321, 5741, 981, 9368, 3074, 5453, 8791, 4640, 9232, 2852, 8690, 3327, 3940, 9985, 9494, 2574, 607, 8580, 9721, 3818, 2841, 6111, 6121, 6145, 8450, 4230, 6093, 7724, 2110, 4247, 6955, 9691, 2956, 3944, 6683, 6913, 1597, 1210, 7911, 6189, 5469, 4866, 9829, 6060, 6795, 8562, 8668, 8993, 6016, 8177, 6342, 4854, 8394, 6143, 6405, 2501, 7769, 7010, 4735, 689, 7457, 5215, 4899, 6357, 7439, 356, 8109, 8068, 6098, 155, 7349, 5213, 4203, 5849, 7919, 7672, 3861, 7973, 5956, 4551, 8667, 1659, 2057, 6120, 1006, 3199, 3253, 9035, 9460, 6007, 3229, 4636, 3473, 3788, 9291, 5732, 2412, 6630, 621, 2474, 2614, 745, 3873, 6167, 1300, 1878, 1779, 2772, 5647, 7067, 3459, 5842, 9967, 2238, 7804, 1905, 1024, 9245, 9223, 3610, 3647, 2087, 2150, 1942, 8534, 4622, 3520, 6936, 7971, 3673, 7871, 7089, 3220, 9760, 9040, 9122, 5335, 2291, 2533, 8984, 7159, 6429, 7600, 1320, 4871, 1964, 6938, 7487, 5064, 7693, 5895, 6458, 2488, 47, 5479, 8423, 544, 1569, 5309, 6693, 9129, 6788, 7480, 2657, 4403, 2860, 4524, 4310, 5394, 2100, 4089, 7743, 8376, 6235, 9224, 797, 1843, 6522, 6606, 2352, 9969, 5219, 5660, 4875, 2559, 4118, 7501, 6666, 6715, 4446, 3367, 3645, 9281, 3387, 8743, 2413, 5353, 4196, 2493, 6444, 9346, 4924, 153, 5779, 4783, 7477, 2378, 7652, 8190, 1134, 9597, 359, 5743, 1896, 9477, 167, 3303, 8877, 9297, 6549, 7930, 7713, 9200, 7209, 4751, 5696, 7704, 654, 6924, 5652, 6531, 3269, 8977, 1252, 2757, 382, 3129, 3286, 2548, 3451, 3855, 2767, 7506, 9523, 7493, 1621, 5840, 4600, 4645, 3561, 12, 8006, 6102, 1374, 4474, 9392, 8761, 6063, 974, 7811, 8509, 7736, 5688, 6966, 8475, 4754, 2487, 5602, 6504, 3268, 3798, 3623, 3180, 6847, 9312, 642, 7917, 8187, 5841, 7259, 9575, 3952, 8836, 8902, 5818, 9762, 9332, 4281, 7455, 4445, 8644, 2534, 9556, 3524, 7426, 8285, 197, 6524, 3675, 1207, 5428, 3503, 1815, 6479, 2921, 7283, 7972, 5521, 9331, 8665, 5293, 2538, 4577, 7793, 2954, 2850, 3590, 8053, 6878, 8587, 4470, 4947, 1412, 3569, 580, 1707, 3255, 6137, 9238, 8074, 6667, 1455, 1439, 8714, 7327, 2178, 9301, 2594, 254, 69, 140, 8702, 320, 231, 5659, 8471, 892, 7682, 6466, 4863, 9290, 2342, 4680, 9802, 9438, 194, 9457, 6946, 1468, 163, 5132, 4627, 9792, 9731, 9611, 8765, 2318, 2053, 5864, 265, 3484, 7486, 4339, 9920, 4646, 8178, 5393, 8785, 3362, 7842, 9206, 839, 6969, 1561, 4728, 2955, 8372, 687, 3178, 6926, 6314, 6392, 3766, 878, 9226, 4734, 6053, 742, 7775, 4255, 7323, 4960, 5769, 9536, 484, 6241, 7105, 507, 1107, 4349, 4886, 211, 5471, 6973, 3082, 2598, 7288, 4044, 6432, 9095, 4669, 4346, 9495, 9360, 7571, 1570, 1631, 3713, 9445, 4730, 5547, 3659, 1744, 1203, 5116, 9708, 3984, 6909, 2913, 611, 9073, 8560, 6334, 8926, 7611, 3546, 5705, 4601, 9072, 3981, 2095, 4019, 889, 9202, 68, 7674, 9915, 1433, 7564, 7269, 1943, 7217, 9841, 5363, 3146, 5109, 4511, 4222, 277, 3456, 4205, 6500, 79, 8051, 8022, 9987, 5133, 5569, 1267, 9815, 6304, 6789, 5632, 708, 3730, 7262, 9765, 6823, 2603, 6992, 3217, 6828, 8658, 6530, 8707, 7843, 2539, 9366, 400, 512, 6695, 8713, 9339, 2667, 6004, 2662, 4829, 4175, 7697, 6002, 4657, 110, 7958, 1646, 9572, 2799, 9150, 1954, 9221, 7462, 74, 6733, 3592, 6532, 8400, 8289, 629, 2025, 3095, 7005, 2294, 8711, 8288, 2577, 9344, 6704, 7273, 8990, 9424, 6025, 4336, 9004, 6561, 515, 2136, 7679, 2223, 5681, 6281, 8431, 1400, 3582, 9972, 9432, 6874, 9890, 5197, 2989, 2016, 7413, 2650, 7963, 5311, 972, 4273, 3643, 9859, 567, 9538, 1392, 2127, 8806, 3251, 9025, 4579, 635, 284, 1010, 4582, 1883, 6439, 918, 290, 8056, 7371, 4943, 5571, 9885, 7710, 363, 422, 8184, 7660, 1167, 9007, 5763, 3452, 8472, 9269, 2962, 7187, 5625, 9380, 1115, 7059, 7407, 5138, 6183, 5480, 2971, 1953, 536, 9648, 6633, 46, 9989, 7678, 3872, 3195, 5468, 561, 3378, 7680, 9844, 8880, 2882, 4419, 4143, 651, 5071, 3514, 4856, 4974, 9370, 772, 4070, 3570, 891, 6700, 692, 2080, 1644, 7177, 1249, 4865, 298, 8793, 6257, 9812, 6300, 6799, 648, 3325, 3291, 6798, 9425, 1463, 9733, 9674, 9250, 761, 6096, 5522, 4347, 1751, 2368, 5230, 7905, 4298, 5994, 3426, 2306, 9719, 4795, 9347, 4962, 5241, 388, 9587, 944, 5982, 3024, 7765, 6560, 2067, 7300, 8800, 1937, 2101, 4477, 4250, 9462, 1385, 9288, 8291, 3693, 1013, 411, 6901, 876, 5807, 6837, 5922, 4152, 7825, 2439, 112, 461, 493, 5570, 3219, 5596, 2457, 2364, 7372, 1351, 2001, 4468, 4894, 931, 128, 5510, 3694, 3627, 3304, 2747, 1274, 7430, 2169, 4533, 4676, 6806, 3602, 4694, 5499, 5639, 2236, 6922, 2050, 3276, 6552, 4360, 4028, 6963, 1660, 7203, 5801, 3222, 8949, 3221, 3577, 8419, 8620, 684, 8324, 7828, 6262, 2909, 3011, 5728, 390 ], [ 3578, 6197, 2121, 1484, 8366, 3603, 6550, 8514, 4904, 1894, 5032, 1576, 6757, 3919, 489, 9506, 2076, 9760, 5249, 6320, 7111, 3593, 5216, 1813, 4244, 2478, 1540, 353, 2757, 3560, 122, 8467, 3470, 6125, 9200, 7005, 8908, 8613, 2238, 4781, 4102, 6321, 1314, 4608, 5248, 9930, 6323, 7702, 800, 6471, 9802, 9339, 5828, 2274, 3125, 4931, 1358, 600, 9552, 6541, 6045, 688, 7243, 7519, 3040, 5232, 9731, 895, 884, 828, 947, 125, 4014, 3668, 2118, 7971, 5384, 9784, 9449, 802, 5265, 3881, 5743, 6236, 4489, 7858, 2290, 1301, 8249, 4711, 3594, 4674, 6456, 2679, 6981, 9157, 5238, 8145, 7353, 1126, 1937, 8702, 9665, 6673, 6547, 2779, 8211, 7948, 7788, 8829, 7425, 2817, 5572, 751, 8810, 7284, 8226, 1638, 9201, 3607, 6482, 2515, 7730, 3236, 930, 8820, 7347, 7326, 1176, 6609, 891, 3494, 7445, 6028, 798, 4159, 8071, 6304, 5399, 7035, 3653, 3710, 5004, 1502, 2618, 2424, 2521, 1399, 3062, 6228, 9967, 9315, 9557, 2149, 5629, 2566, 7187, 1896, 2449, 3558, 5981, 3318, 8428, 9137, 7701, 3890, 919, 4209, 4130, 2237, 8592, 7676, 3566, 3115, 7303, 5889, 8098, 7518, 6424, 40, 446, 7439, 4701, 2589, 4277, 997, 3835, 4861, 111, 1865, 7855, 9736, 3736, 2365, 8490, 7236, 1971, 3792, 148, 8518, 6589, 6944, 5907, 9496, 8286, 9211, 622, 7728, 6573, 2956, 2707, 4485, 2758, 4814, 7113, 100, 7043, 653, 4270, 518, 3575, 7937, 7872, 7369, 4410, 7074, 2418, 9856, 857, 6014, 228, 9266, 7313, 2943, 5424, 5906, 2110, 1676, 2354, 905, 1671, 5739, 6599, 6124, 5467, 5890, 9485, 6889, 3108, 168, 2156, 5618, 2191, 671, 437, 5134, 7349, 6782, 8227, 1287, 1998, 4005, 7100, 2431, 30, 7340, 462, 2466, 1949, 1660, 8680, 3905, 4145, 5155, 1512, 9756, 2337, 1593, 8028, 1027, 6886, 752, 7158, 6600, 9161, 9316, 2648, 4024, 9208, 1063, 8540, 9774, 9504, 2950, 7333, 4274, 7417, 2715, 3933, 3619, 5335, 1369, 6271, 7558, 6927, 5268, 7461, 8136, 6178, 9717, 9215, 261, 257, 113, 8154, 7373, 1047, 2907, 2472, 3540, 2168, 7332, 8437, 8517, 9391, 9904, 3784, 4529, 924, 8266, 2153, 8579, 1220, 8714, 5161, 6872, 7235, 4006, 2979, 8005, 6560, 5959, 3293, 6211, 1739, 7317, 1207, 9754, 9026, 6669, 4908, 1396, 5026, 7550, 9304, 7732, 9069, 2727, 8871, 2296, 2108, 568, 5347, 2528, 2606, 9040, 7806, 6951, 7084, 4833, 3752, 8339, 8645, 1521, 3105, 553, 4524, 5888, 2896, 4419, 2561, 6088, 4844, 7651, 3534, 5851, 8182, 5326, 5104, 2317, 1823, 1011, 6570, 254, 1981, 7648, 2509, 7588, 8248, 3879, 9824, 5143, 7251, 4071, 2344, 4276, 3233, 9095, 7709, 2627, 2985, 6232, 117, 4430, 871, 4001, 7700, 5659, 9617, 7029, 204, 2825, 8970, 7906, 392, 1556, 8612, 8370, 192, 6292, 1769, 6806, 2070, 2811, 1180, 576, 6436, 6368, 7175, 8416, 3449, 2809, 5469, 5672, 7583, 511, 5069, 3215, 3208, 4502, 497, 9275, 1969, 6531, 1730, 9363, 4278, 638, 9549, 7483, 1683, 4028, 239, 7789, 3777, 9710, 5704, 6567, 3480, 2062, 5997, 1048, 4140, 3275, 1531, 9744, 2594, 4583, 2768, 1281, 7584, 7069, 4245, 8650, 8895, 3051, 4907, 4323, 866, 4607, 8387, 3052, 7215, 7649, 1151, 9020, 9638, 1635, 8691, 4120, 7296, 9196, 7032, 1509, 4326, 8842, 3689, 277, 1822, 4299, 6446, 3808, 3963, 4869, 7286, 6659, 6151, 3153, 7798, 9197, 2847, 3469, 8674, 5548, 4735, 2342, 7183, 7391, 6497, 6781, 4009, 7762, 2193, 3545, 6128, 1045, 9365, 9577, 8129, 8783, 8889, 2109, 8977, 7256, 559, 9874, 3520, 8419, 7321, 6615, 624, 4914, 126, 378, 3938, 6055, 915, 2224, 4956, 4225, 1695, 195, 3202, 65, 8459, 5276, 9987, 864, 9910, 611, 136, 4133, 4138, 4619, 5863, 8239, 2635, 3315, 9999, 5620, 8173, 738, 785, 7010, 5157, 3324, 4834, 2089, 2915, 4052, 3838, 7210, 724, 6376, 1072, 3854, 3302, 1862, 3697, 7295, 2701, 6724, 4377, 4222, 3962, 5120, 9268, 8760, 7523, 4132, 9685, 2662, 4853, 2033, 3635, 2643, 4648, 5419, 8978, 7734, 3592, 2676, 3882, 7196, 8648, 1273, 8488, 7992, 9545, 8897, 6442, 7593, 7904, 5082, 2949, 7580, 1376, 6931, 4284, 8238, 6105, 8016, 3244, 9743, 5315, 9476, 2222, 9980, 8399, 9599, 1339, 3610, 6357, 1579, 7993, 9293, 1118, 6898, 4639, 15, 9733, 849, 455, 6189, 1844, 2188, 5257, 2232, 9640, 4561, 5652, 3274, 2341, 4998, 7130, 9918, 4794, 7323, 539, 9495, 275, 4343, 4175, 6388, 5685, 6770, 1708, 5809, 7048, 3423, 8555, 1006, 9385, 4480, 159, 7412, 5761, 8188, 4514, 6569, 9645, 4910, 7931, 63, 19, 6650, 345, 46, 3404, 7856, 4588, 1744, 6199, 1172, 5963, 1320, 8493, 7185, 721, 5014, 2097, 3092, 6513, 1716, 4557, 8795, 3497, 744, 1553, 6878, 893, 3821, 3399, 874, 5454, 5440, 2083, 5274, 4243, 1110, 6418, 8259, 3725, 2568, 2448, 7713, 7206, 5500, 9182, 6968, 7174, 4601, 3451, 7464, 6982, 4202, 5838, 7749, 54, 4037, 1870, 9070, 5904, 9059, 5258, 214, 3072, 6429, 1108, 9096, 1021, 4311, 1761, 8873, 4929, 3716, 8147, 9529, 9525, 2730, 2773, 8637, 9963, 6414, 6258, 9883, 7195, 9875, 8281, 4191, 970, 8162, 317, 4487, 4689, 8962, 293, 3608, 9597, 6449, 3839, 7038, 1829, 8756, 1341, 1437, 649, 680, 8231, 5729, 4056, 389, 4201, 7179, 5195, 5178, 8427, 3367, 4351, 578, 3568, 9835, 8881, 846, 1031, 7274, 1485, 1221, 9500, 8398, 6761, 177, 5412, 7030, 6775, 4151, 2309, 7325, 5642, 9948, 7543, 3127, 9123, 4417, 760, 4572, 5913, 6190, 8279, 1362, 3238, 449, 6458, 660, 2737, 5767, 7059, 5079, 1429, 4633, 7536, 89, 1328, 8536, 388, 9621, 5842, 6668, 444, 6548, 6764, 536, 5845, 9629, 3746, 328, 1038, 3447, 3107, 3621, 7626, 5558, 6278, 3080, 5158, 4568, 642, 6719, 1159, 9527, 6684, 8017, 1775, 3768, 8031, 6421, 696, 3659, 2800, 6008, 9081, 7888, 1483, 2379, 1424, 5121, 5103, 9773, 2936, 412, 6826, 6629, 3717, 9546, 9739, 3415, 7750, 2272, 2983, 9143, 9259, 2835, 4999, 7001, 1252, 1144, 9646, 420, 6786, 6016, 8754, 8706, 5694, 7778, 6711, 4635, 5525, 7767, 5204, 9675, 3391, 5293, 1028, 5421, 3678, 4757, 767, 2688, 7285, 9806, 9228, 3436, 3256, 6140, 3988, 4113, 6638, 8864, 7595, 5513, 5843, 9819, 6809, 5576, 1064, 4600, 7233, 2887, 2395, 2532, 6080, 8192, 6157, 7857, 4097, 8342, 1395, 9687, 1847, 2526, 6710, 4799, 9465, 7438, 4386, 9250, 1438, 4283, 7752, 4668, 7751, 3351, 8618, 8368, 7368, 4780, 5507, 9014, 5721, 8930, 507, 6851, 8213, 565, 1616, 471, 2967, 4795, 4435, 3971, 4893, 6396, 8575, 1888, 4528, 3331, 5762, 8878, 847, 7853, 6392, 4302, 6821, 7079, 5526, 2409, 3430, 2266, 8564, 4895, 5856, 6914, 7819, 1227, 9667, 3531, 2376, 7964, 8507, 6087, 3027, 7820, 7694, 7941, 8319, 93, 7557, 3140, 971, 3612, 2220, 7356, 7154, 4482, 9704, 7169, 295, 9650, 4512, 5733, 7686, 109, 4432, 669, 1618, 4423, 8535, 5306, 9452, 5245, 806, 8974, 1728, 3101, 3397, 9270, 1782, 8774, 2017, 1089, 7152, 7422, 4511, 1169, 5043, 3068, 987, 7138, 4715, 5915, 9411, 294, 5288, 2522, 8433, 631, 8358, 6139, 5542, 9189, 4954, 373, 2805, 922, 5941, 765, 6737, 6637, 6530, 5226, 4303, 8212, 9239, 7999, 3189, 8258, 1356, 4879, 7017, 6608, 7149, 4816, 1665, 49, 1224, 8285, 1931, 6490, 5598, 4124, 7517, 2262, 363, 1454, 6832, 3831, 7579, 6120, 835, 1090, 4241, 6307, 1610, 69, 5331, 5311, 171, 7181, 2073, 1494, 4960, 8067, 6845, 1737, 68, 259, 2902, 6334, 457, 8159, 5511, 3991, 9519, 4346, 943, 2801, 769, 9917, 566, 5902, 162, 7850, 1948, 1164, 3088, 4121, 4156, 3195, 2131, 6237, 149, 2259, 8303, 5737, 265, 1161, 2001, 3597, 5241, 5223, 5992, 5337, 8223, 4160, 2007, 3942, 1230, 2655, 4806, 153, 5006, 7590, 1850, 6517, 4742, 4991, 5073, 7115, 4438, 1924, 460, 7577, 3797, 1691, 9499, 1121, 5524, 9661, 8373, 9162, 2506, 8445, 1344, 6923, 1544, 6324, 9573, 1191, 5105, 7444, 2299, 5974, 5182, 684, 1488, 2258, 9680, 3339, 6391, 5774, 8602, 7207, 347, 6705, 723, 3011, 6618, 8821, 9847, 855, 625, 5608, 7782, 372, 4761, 1394, 6076, 852, 3042, 6406, 9848, 3676, 7625, 6647, 7912, 4045, 5351, 9698, 3086, 3148, 2021, 4229, 592, 1343, 2184, 6696, 9940, 8060, 1140, 1517, 5367, 5960, 8954, 1078, 5283, 3589, 7339, 683, 3306, 6240, 8859, 3636, 1571, 8011, 3343, 4626, 6288, 8275, 9122, 7382, 1336, 144, 5953, 2029, 8080, 1209, 9688, 1496, 7765, 6112, 8298, 1168, 2848, 7849, 5970, 3658, 999, 8643, 4958, 8765, 3337, 4251, 1666, 3091, 1097, 9017, 8945, 1446, 7977, 9589, 799, 9150, 3170, 5206, 9942, 9108, 5383, 131, 3763, 8621, 3087, 8336, 3891, 4680, 9540, 9915, 142, 689, 4107, 7874, 5075, 6019, 6529, 8767, 6344, 3380, 9426, 3008, 9612, 4249, 2554, 742, 7000, 3780, 4358, 8718, 8729, 3437, 9486, 7965, 4279, 209, 1389, 8980, 7396, 4882, 4957, 9654, 7817, 7280, 8524, 7435, 9324, 2267, 1223, 6979, 255, 8790, 2721, 3363, 1288, 577, 4928, 5013, 2531, 892, 6934, 4740, 8494, 5349, 2855, 7316, 1096, 4018, 6066, 4786, 5015, 7823, 4345, 1705, 8422, 8257, 4665, 5736, 7061, 706, 5410, 9106, 5822, 5094, 1699, 5683, 234, 3194, 2958, 6081, 3130, 6084, 5783, 8843, 9076, 6683, 3000, 427, 2564, 7199, 6230, 5171, 529, 6621, 2135, 2993, 1807, 1410, 9462, 4906, 108, 3389, 6717, 2657, 3709, 9671, 817, 7731, 2399, 6580, 2496, 5553, 7145, 3121, 5955, 931, 1789, 3703, 3899, 5237, 3753, 1247, 1282, 1432, 5087, 4727, 3050, 6799, 7672, 2128, 3528, 6177, 1710, 308, 7641, 5880, 7640, 9018, 1986, 9697, 1594, 2675, 6289, 1885, 5510, 2978, 1206, 244, 1961, 2633, 7746, 7119, 3954, 8958, 3110, 60, 1455, 5776, 6117, 2277, 1321, 5792, 845, 8525, 5686, 8826, 9064, 7040, 1279, 5924, 6614, 5711, 9467, 9898, 3299, 5852, 663, 9723, 3308, 6078, 4317, 374, 6691, 4804, 5872, 5488, 5392, 7160, 7561, 5534, 3664, 7459, 2415, 2315, 8806, 9037, 1422, 2578, 6749, 9006, 5835, 2625, 9120, 27, 2116, 2663, 8019, 4421, 4035, 674, 2611, 7774, 5169, 6249, 995, 7155, 8615, 3937, 4683, 7118, 7871, 2988, 5240, 3553, 2313, 1992, 547, 1713, 1254, 5698, 7744, 7719, 1735, 6887, 8862, 1070, 3832, 8062, 9128, 7996, 4546, 7815, 3924, 8663, 25, 9634, 7832, 2538, 7726, 416, 9584, 1634, 5857, 5988, 1193, 4565, 644, 9727, 9311, 6101, 2308, 550, 2658, 7, 1725, 7761, 3206, 7775, 399, 1600, 6511, 2120, 9065, 1112, 1187, 1757, 1646, 4856, 1125, 4744, 8010, 7698, 2392, 3970, 926, 9905, 3609, 7718, 5566, 361, 1398, 6216, 7843, 3021, 4943, 1637, 7887, 8875, 8934, 3873, 5504, 5425, 6803, 9174, 6810, 127, 850, 2087, 933, 2428, 3872, 2196, 7498, 5879, 2747, 5557, 6400, 1219, 5978, 1076, 5324, 4321, 5787, 7392, 6263, 3680, 1084, 1491, 2199, 4657, 8823, 7449, 197, 4682, 7276, 8965, 896, 7880, 2490, 3969, 8176, 2218, 4046, 2064, 9833, 8372, 5589, 1564, 8572, 5290, 3400, 2331, 8553, 7124, 4920, 1127, 9792, 7571, 6943, 3920, 1346, 6848, 7538, 8952, 8183, 4465, 6462, 8209, 8295, 7544, 9567, 2181, 6138, 11, 5593, 8984, 4854, 6728, 4395, 5701, 1198, 4542, 3332, 1149, 6926, 2324, 4978, 9991, 8052, 5234, 2723, 4116, 5669, 641, 6188, 6402, 8101, 6169, 5816, 4250, 5516, 8623, 175, 1407, 4964, 6646, 2822, 9438, 841, 3642, 8707, 7288, 5552, 7476, 5772, 6997, 824, 6812, 6058, 2629, 9734, 584, 7790, 2462, 8622, 541, 8792, 3411, 238, 1400, 9357, 3381, 4974, 7287, 8390, 6074, 5864, 3373, 7829, 5520, 2226, 8502, 2653, 8396, 3019, 962, 8090, 7953, 1724, 2644, 9604, 2684, 4266, 6539, 2843, 6877, 528, 4483, 3884, 6195, 6280, 1941, 8449, 2722, 1434, 9394, 923, 5528, 4173, 8789, 6601, 1403, 202, 9750, 1245, 3801, 1750, 8216, 4433, 5718, 9378, 5764, 6884, 7214, 9831, 6862, 5920, 9517, 977, 4021, 1000, 8559, 1129, 9028, 268, 9966, 2909, 7959, 7643, 7663, 7757, 6371, 2142, 253, 877, 9491, 5798, 5489, 9858, 2295, 7988, 2845, 4080, 3652, 3419, 5568, 2247, 6839, 2155, 598, 9505, 569, 185, 5207, 2501, 163, 992, 9183, 1851, 6309, 8950, 4389, 1306, 1861, 6697, 8545, 3219, 6336, 2828, 9217, 9045, 4654, 5855, 643, 371, 9836, 1098, 2261, 9571, 7192, 4606, 1565, 7402, 179, 3743, 2735, 9975, 6553, 7838, 9752, 5650, 1895, 305, 2821, 2052, 6284, 9230, 5849, 9355, 7882, 5218, 6939, 867, 2388, 5769, 4992, 4555, 6017, 8636, 7362, 2375, 6555, 1639, 5041, 4632, 8076, 3627, 6938, 8852, 4598, 534, 2995, 6694, 3442, 2367, 6091, 4694, 9542, 9957, 7352, 3287, 3392, 7572, 7086, 7511, 1892, 1751, 4610, 2355, 1535, 492, 1841, 2720, 4264, 8462, 1185, 9127, 1625, 7171, 6243, 8079, 6412, 8766, 3133, 2680, 1548, 5189, 6027, 59, 7189, 9789, 1382, 4339, 1758, 8522, 4857, 4625, 836, 6349, 2318, 8038, 7691, 2882, 5379, 5451, 220, 9684, 9712, 9726, 3205, 4647, 8882, 7318, 856, 8157, 8780, 9998, 4917, 9155, 2160, 9235, 1922, 5150, 2016, 7484, 8713, 5554, 5474, 1030, 9764, 3771, 6557, 3682, 4104, 9955, 2297, 1615, 88, 8272, 3221, 1583, 9993, 8230, 9354, 734, 6714, 2674, 4211, 7650, 2010, 6494, 762, 1529, 4609, 5247, 3450, 6099, 2430, 1601, 2384, 8348, 9954 ], [ 503, 4651, 4053, 3276, 3754, 8421, 8181, 4373, 5935, 6354, 3695, 6234, 5898, 9333, 1814, 7504, 6989, 2998, 6317, 313, 7164, 954, 8206, 772, 4307, 5604, 3353, 5050, 3329, 2432, 3255, 3338, 3552, 4409, 276, 5098, 1965, 4296, 448, 3533, 984, 9808, 4947, 6072, 5154, 9951, 2865, 6586, 1732, 6443, 8435, 3927, 7738, 6165, 4188, 2441, 1628, 8345, 2639, 1452, 1767, 6059, 6347, 830, 4474, 6002, 466, 1994, 1777, 13, 560, 6709, 6270, 659, 7827, 4230, 530, 5878, 9303, 1670, 4378, 3344, 1647, 3237, 4215, 1607, 379, 7885, 1391, 3100, 6215, 3951, 7729, 6086, 9092, 3820, 4709, 9990, 9312, 8745, 7103, 7812, 2930, 7950, 4336, 5406, 2094, 3001, 4185, 3467, 4027, 2718, 9232, 3394, 7096, 1218, 2683, 432, 5754, 9024, 3223, 7724, 9469, 4285, 2383, 6779, 2198, 7302, 5834, 2381, 3564, 5250, 6575, 3645, 206, 9997, 2595, 1202, 453, 4858, 7503, 6269, 796, 5790, 3041, 8394, 3618, 5174, 2463, 22, 1709, 4889, 5692, 8243, 7997, 8567, 3384, 7897, 8196, 2921, 3959, 6802, 424, 9254, 9393, 1401, 3323, 7955, 4741, 3007, 1964, 5476, 2741, 8483, 8018, 4186, 1312, 5968, 8193, 2092, 9370, 4996, 8906, 6880, 7805, 7783, 6268, 5668, 5768, 3781, 2084, 3217, 8901, 8973, 816, 1199, 5746, 6095, 4508, 6486, 9389, 9995, 2935, 106, 8916, 247, 6273, 6901, 8987, 9267, 1465, 8577, 1604, 5266, 5142, 5300, 4114, 1640, 1808, 4691, 3031, 9156, 6554, 6359, 875, 2209, 1712, 764, 1327, 4545, 4450, 2975, 8803, 8596, 4746, 5994, 7692, 1123, 6300, 8825, 9826, 6642, 6774, 1938, 8614, 8474, 7720, 5228, 4174, 7758, 2667, 9269, 5090, 7919, 2069, 9541, 5313, 9890, 7616, 6108, 8100, 1024, 3694, 7807, 8054, 6100, 3368, 9273, 2093, 1228, 7271, 7245, 4803, 326, 7308, 5773, 4724, 1091, 865, 4304, 8347, 4172, 7556, 1397, 8121, 5540, 1886, 1500, 4403, 1310, 2525, 6649, 5439, 6765, 5149, 4442, 5256, 7576, 2488, 8430, 8532, 8578, 2144, 9041, 9219, 7028, 7039, 7834, 8354, 8066, 3613, 2436, 7398, 7497, 6107, 594, 6701, 2916, 2059, 7981, 8910, 6259, 7554, 5044, 8047, 7153, 5092, 160, 1026, 4108, 6545, 4840, 6738, 443, 9696, 4357, 2048, 7769, 750, 9224, 5923, 9206, 1383, 5372, 6873, 532, 1740, 1932, 9936, 6641, 1573, 1591, 4234, 7848, 3585, 3738, 3631, 5678, 7331, 8516, 8237, 1533, 5763, 5108, 4559, 694, 2558, 6226, 4819, 981, 3155, 3895, 9004, 801, 5989, 1342, 8497, 7232, 2527, 278, 6201, 9472, 3747, 3039, 7868, 7114, 6685, 1602, 1258, 4078, 8082, 8380, 1458, 5077, 5928, 934, 9071, 3915, 8883, 7057, 5414, 101, 2349, 2350, 7009, 4749, 5093, 9507, 4493, 2270, 2228, 9203, 386, 1351, 3548, 5458, 6220, 545, 3587, 3235, 4237, 1644, 8485, 2947, 5707, 886, 1715, 7062, 3297, 1700, 7431, 1542, 115, 5388, 9380, 8487, 6365, 3300, 1760, 53, 9837, 3355, 1200, 6993, 8260, 3978, 4290, 5159, 7699, 1367, 7879, 3894, 2419, 7760, 906, 7995, 6129, 5012, 3012, 9176, 8796, 6113, 1742, 3388, 5376, 1802, 1050, 558, 1653, 2569, 9548, 3358, 3482, 1588, 2636, 3688, 4137, 2130, 41, 1466, 5353, 118, 9145, 92, 4491, 240, 8114, 3997, 7213, 9825, 7252, 2489, 5197, 5775, 5039, 8684, 6860, 4937, 2520, 7094, 9246, 5152, 6904, 2221, 5523, 1334, 2682, 4944, 9651, 5656, 4966, 5980, 5181, 6858, 878, 6154, 318, 585, 7968, 9749, 9170, 5584, 9134, 757, 20, 8840, 9346, 8323, 8730, 8723, 6401, 9090, 8755, 3198, 1942, 3270, 9198, 9192, 1913, 8529, 7991, 4905, 9299, 8548, 381, 3382, 9879, 3309, 398, 3624, 2335, 5717, 6994, 3986, 3985, 1114, 3569, 2011, 4495, 996, 5196, 3350, 9932, 3082, 4990, 4813, 1578, 3742, 4531, 4091, 9453, 7903, 5054, 1239, 6687, 6341, 9308, 3164, 5993, 2057, 6297, 5021, 6549, 7763, 10, 1353, 675, 8593, 9649, 842, 1242, 8044, 1664, 4659, 6204, 4207, 501, 3667, 3094, 4263, 8880, 7423, 1385, 2461, 9603, 7060, 9371, 8815, 2398, 2732, 8531, 2597, 208, 9857, 4372, 8568, 7006, 1262, 292, 5547, 5892, 6001, 382, 5064, 3166, 6468, 692, 7193, 5163, 7958, 35, 1270, 2285, 4764, 516, 9151, 5417, 5327, 2623, 7644, 7605, 2177, 4850, 2323, 2312, 5405, 885, 8501, 1493, 2546, 3995, 5007, 9119, 7227, 4732, 5122, 2091, 3035, 8632, 9422, 4073, 6607, 9416, 8998, 1558, 9843, 5135, 7250, 7990, 236, 9233, 961, 7586, 6883, 4337, 5583, 7565, 7075, 7151, 5661, 2709, 3582, 8921, 1950, 8344, 176, 6312, 8432, 6110, 8468, 1764, 5640, 4671, 4876, 6636, 1037, 9415, 8769, 8996, 1574, 6999, 7612, 3371, 8152, 2145, 5886, 8414, 5482, 3, 129, 1373, 9352, 820, 1963, 4322, 1817, 635, 4677, 1212, 3733, 5117, 408, 9630, 1402, 3078, 3378, 2829, 4972, 1786, 8321, 6579, 3036, 4354, 5048, 3461, 2620, 6315, 2881, 6930, 7780, 7480, 6434, 9838, 2339, 2442, 1457, 1051, 3637, 5883, 9489, 601, 4166, 8741, 8777, 3946, 9633, 4034, 5023, 2789, 9332, 5350, 3342, 4567, 5653, 8413, 6475, 1266, 699, 7467, 6727, 2333, 9547, 2468, 3076, 4585, 8204, 616, 8988, 2162, 6445, 335, 5186, 9523, 633, 1472, 9938, 8126, 3544, 9787, 6022, 1481, 480, 8184, 8322, 4686, 5205, 3139, 4067, 8886, 2870, 3410, 3513, 5821, 8289, 4404, 1973, 7891, 1738, 897, 6707, 4593, 5795, 4718, 3420, 4544, 164, 2111, 8543, 3097, 9271, 8379, 4380, 8482, 9159, 2798, 6959, 1003, 169, 263, 6900, 6071, 6026, 404, 5085, 4396, 1989, 79, 9377, 6871, 1627, 6219, 2834, 7893, 5869, 2401, 2377, 4676, 6203, 8512, 1856, 4387, 9238, 493, 7336, 7414, 8971, 658, 9576, 4488, 813, 6784, 9816, 4291, 2123, 3424, 2708, 5341, 5402, 650, 8024, 9572, 4793, 5322, 6168, 8020, 7255, 1106, 2905, 1837, 6653, 7859, 2469, 6563, 91, 7683, 7927, 1624, 8963, 3061, 1990, 5100, 9429, 3453, 6987, 2743, 4048, 1566, 6137, 5882, 4953, 8569, 7267, 8491, 3327, 776, 1111, 9298, 9782, 6476, 9289, 4541, 2782, 4669, 4549, 4696, 572, 2932, 3188, 7294, 2107, 1701, 6735, 355, 6594, 3065, 9673, 7241, 6431, 7045, 7209, 8122, 3523, 8580, 3926, 7324, 4855, 6587, 6571, 3152, 1835, 6241, 6114, 4948, 7924, 9909, 668, 3294, 8318, 9214, 2470, 6408, 4286, 2319, 6863, 9887, 9601, 6929, 3484, 2774, 8678, 5303, 3983, 2742, 5462, 8696, 4772, 2503, 3013, 4187, 9865, 194, 5600, 982, 6233, 428, 9578, 6039, 2678, 6870, 485, 6967, 1567, 940, 2260, 2371, 4203, 2946, 8617, 4877, 2146, 8927, 150, 3268, 7512, 1595, 5022, 4620, 5930, 8867, 9410, 2150, 2792, 7954, 3295, 2253, 225, 5251, 3875, 3079, 9968, 1196, 6174, 8328, 3546, 6610, 8276, 6508, 4637, 5455, 7542, 1377, 5982, 2971, 9660, 2075, 6261, 1815, 499, 1575, 3269, 6206, 8583, 4896, 8857, 9631, 7715, 8781, 8273, 201, 9686, 8131, 3486, 4148, 3340, 5531, 9249, 1951, 7190, 8689, 6875, 2891, 6404, 9423, 8817, 5509, 6976, 9313, 3510, 2802, 9010, 8688, 6319, 9474, 3979, 1580, 3574, 4618, 7182, 3936, 7052, 6630, 9559, 2479, 6386, 5080, 4587, 3265, 949, 9852, 1197, 2575, 8461, 7450, 4178, 5310, 2659, 7721, 8282, 1304, 8439, 4655, 2710, 3228, 1077, 8565, 1069, 2387, 5017, 143, 2529, 5824, 9888, 1525, 3296, 2206, 8453, 8687, 9244, 8256, 3913, 755, 5164, 351, 6795, 3859, 7617, 5925, 7047, 3726, 2769, 6577, 773, 9796, 8863, 1175, 4934, 367, 3606, 5643, 1831, 4801, 9810, 1650, 8450, 1071, 4815, 9342, 894, 4214, 9828, 9732, 8697, 8986, 4640, 1467, 7263, 9057, 4260, 786, 8515, 9947, 7275, 5954, 6515, 6917, 9501, 1921, 3868, 5829, 6150, 8381, 6700, 3144, 3737, 7569, 580, 1244, 1371, 4554, 6046, 4265, 9790, 6444, 881, 8827, 4294, 4916, 5684, 5229, 8150, 6485, 4692, 4393, 4452, 701, 9674, 1806, 2537, 1177, 4865, 6326, 8979, 4081, 6752, 8556, 7170, 7962, 1819, 85, 3948, 7913, 7677, 4254, 7415, 6415, 7194, 2994, 3089, 2562, 2176, 3330, 188, 7901, 319, 2703, 8340, 331, 8917, 6743, 9877, 5728, 1317, 8868, 430, 5934, 6426, 7989, 1828, 5612, 1364, 6815, 9582, 7797, 9349, 1899, 713, 784, 4069, 9077, 8877, 9109, 8933, 4176, 250, 1590, 5496, 2485, 7800, 3049, 1015, 5382, 237, 1997, 9775, 1066, 24, 7051, 8885, 4168, 3577, 9850, 3530, 6948, 4868, 8360, 5742, 3519, 2832, 5498, 12, 9618, 6718, 5294, 960, 1293, 1805, 3398, 8388, 8844, 4839, 4288, 630, 7485, 9350, 5070, 4310, 9223, 2631, 2547, 4963, 1499, 1016, 1217, 8926, 4139, 3674, 6079, 9338, 2671, 2327, 7970, 7489, 2411, 6218, 4261, 2157, 6581, 1387, 9594, 9427, 1290, 5418, 4110, 7606, 8365, 1425, 9803, 6828, 3756, 1874, 9227, 7354, 2729, 9623, 3496, 3863, 5506, 3972, 7110, 9142, 1419, 8594, 1592, 8096, 9817, 9668, 6266, 1860, 1803, 7197, 6011, 6161, 7128, 7639, 9300, 6556, 9049, 2664, 1246, 7253, 8013, 2255, 8310, 7573, 6425, 2508, 9413, 6947, 248, 5987, 3888, 9765, 2205, 5715, 9919, 6543, 1274, 4518, 8168, 3852, 9036, 9160, 903, 9579, 2380, 7506, 3157, 8440, 3114, 3923, 6122, 6194, 5330, 6625, 9110, 9242, 3836, 120, 1508, 7967, 1914, 2563, 2373, 7300, 8732, 5492, 3113, 2813, 7771, 9190, 7334, 9066, 8363, 9672, 3005, 1675, 5109, 2491, 3646, 7299, 929, 3059, 3357, 1240, 8947, 3576, 9285, 5840, 9564, 4497, 2074, 645, 145, 224, 4356, 7740, 4763, 2286, 7747, 3901, 1939, 8420, 290, 7695, 8135, 1686, 4022, 1854, 8627, 9382, 8144, 3596, 1300, 4375, 8214, 6296, 9388, 1903, 9561, 5074, 1714, 8408, 6040, 1265, 8097, 7597, 9082, 7847, 9400, 7460, 9272, 771, 7710, 4060, 2185, 3949, 2114, 6595, 9497, 4817, 2194, 8641, 2820, 3379, 8624, 5748, 6526, 626, 1804, 3819, 1470, 2245, 2906, 9396, 4153, 9818, 2706, 5495, 2346, 8065, 7656, 4002, 3858, 6390, 8454, 1035, 8776, 3787, 2691, 151, 8761, 1357, 5318, 2984, 4566, 2599, 3468, 279, 3063, 2842, 6833, 2213, 7473, 2279, 759, 8828, 7632, 5990, 6000, 7360, 8244, 6329, 4494, 9609, 4927, 9277, 4596, 1753, 298, 2557, 9264, 1866, 5777, 6911, 2288, 6794, 9960, 9916, 678, 4036, 8854, 873, 6384, 229, 158, 9508, 8262, 7566, 3573, 4064, 3525, 2646, 2827, 6, 1559, 4325, 6551, 3103, 7246, 8798, 3457, 7564, 4161, 4065, 2055, 5680, 286, 819, 975, 4181, 4412, 2370, 7466, 4476, 4779, 4789, 2406, 369, 5281, 9906, 4550, 5819, 6398, 2630, 81, 9383, 7696, 6602, 839, 5468, 4878, 2880, 7239, 3168, 1550, 8809, 8053, 7876, 639, 941, 6360, 3192, 2013, 6417, 7881, 104, 301, 1057, 8896, 7218, 6352, 7553, 5601, 6645, 9001, 5086, 3440, 3844, 6568, 2714, 5177, 4059, 5975, 3145, 3824, 5862, 6460, 7186, 4100, 7016, 7772, 5209, 2036, 6524, 3053, 5083, 2990, 3583, 1073, 7131, 740, 5564, 4805, 8250, 6763, 7381, 8299, 9056, 5185, 6287, 927, 556, 6935, 4428, 4030, 9683, 5705, 7002, 5788, 533, 8600, 617, 2240, 2864, 595, 7756, 429, 8271, 1101, 512, 4204, 5501, 994, 2997, 3952, 5815, 2161, 6448, 9216, 6348, 132, 6235, 6012, 36, 7479, 1935, 6061, 2269, 9786, 4327, 9693, 1131, 2049, 7420, 7216, 5375, 4710, 7394, 4426, 90, 4165, 338, 9288, 8890, 86, 6895, 7939, 8138, 7662, 7795, 5977, 5942, 8639, 6483, 9607, 2316, 9891, 2374, 7007, 4623, 9419, 5917, 4903, 5242, 1354, 1337, 482, 9719, 9533, 4552, 3944, 7963, 9694, 4247, 6713, 549, 2911, 1174, 4300, 6231, 4569, 5125, 1587, 9861, 8748, 3866, 7884, 9447, 6769, 7902, 5972, 3877, 4599, 1360, 9074, 9185, 6484, 6817, 9204, 9180, 2593, 1431, 5582, 7759, 8752, 9804, 4453, 2138, 9252, 8374, 8874, 102, 4079, 900, 9248, 8134, 5407, 9509, 9886, 8334, 9985, 4123, 9167, 307, 9702, 7574, 9862, 7410, 2824, 4925, 4281, 8835, 5113, 4725, 9488, 3862, 9199, 9297, 4004, 8951, 7930, 495, 7687, 3886, 6518, 8081, 3446, 5575, 2439, 8452, 9218, 2927, 5045, 5068, 707, 6730, 676, 2234, 6748, 463, 3727, 2499, 4747, 898, 6472, 5267, 9279, 4499, 2607, 5401, 8180, 4098, 5671, 4072, 8382, 2284, 7055, 890, 7704, 2498, 3760, 8915, 9823, 4731, 3543, 433, 9536, 1291, 9935, 218, 5409, 8479, 6990, 1669, 6800, 6373, 655, 5019, 9042, 8113, 4477, 1152, 5478, 5463, 4551, 8523, 4314, 4584, 2922, 2700, 9099, 1720, 1967, 5793, 3288, 7486, 3165, 3253, 9442, 3213, 6836, 6358, 8788, 6583, 7389, 9832, 9229, 753, 9795, 2362, 2544, 43, 2641, 9613, 9805, 9251, 2628, 4235, 2471, 5230, 4068, 5001, 9759, 387, 2933, 4199, 354, 4942, 3984, 4312, 2913, 8377, 4782, 1338, 6374, 2454, 190, 8671, 2200, 690, 3032, 1315, 9032, 9191, 7083, 1702, 5222, 6819, 9636, 2201, 8814, 4349, 3466, 2276, 2754, 4439, 9892, 1359, 5984, 3536, 3601, 4111, 2604, 3224, 6246, 4519, 1561, 3622, 1503, 4239, 8822, 9091, 6843, 4341, 3022, 1411, 181, 9173, 5448, 4313, 3600, 540, 868, 8415, 3441, 858, 9431, 6038, 97, 4338, 1284, 9616, 3848, 5841, 5756, 1936, 82, 1707, 7033, 5616, 8708, 3892, 3639, 4743, 3702, 5141, 3375, 5344, 9511, 3896, 2207, 7725, 7282, 3057, 6777, 2613, 116, 3916, 73, 9164, 1082, 8132, 4771, 6849, 2761, 9914, 9241, 3197, 958, 9907, 6355, 526, 677, 8029, 1996, 4333, 8547, 3128, 406, 4933, 3595, 3348, 4253, 2263, 5831, 8119, 6295, 7013, 1611, 6274, 6135, 2810, 1104, 3973, 1810, 4924, 7066, 7022, 8137, 5147, 4479, 552, 9372, 2443, 2332, 1747, 3372, 4521 ], [ 716, 4456, 1551, 7673, 7249, 9473, 3900, 6069, 9845, 4042, 7863, 6439, 608, 1099, 5452, 3897, 5710, 7635, 7123, 7998, 436, 9793, 4646, 2423, 4305, 8240, 1060, 8919, 4406, 6397, 343, 7524, 6394, 3239, 1794, 1505, 7419, 5693, 9513, 2129, 9913, 8290, 8957, 6792, 9479, 9399, 821, 2100, 7671, 6491, 3861, 3083, 397, 258, 342, 7526, 3549, 2518, 6920, 7228, 6432, 8625, 1983, 9011, 5940, 5918, 7401, 4726, 3776, 8731, 2229, 3749, 6134, 5631, 7839, 1340, 4362, 8304, 4719, 6480, 1194, 6119, 5302, 8582, 2867, 5682, 5628, 2951, 9441, 6566, 6340, 5484, 1846, 7592, 1233, 2336, 2219, 5713, 6970, 2078, 7386, 5404, 9321, 6351, 3169, 9575, 9829, 610, 8683, 2217, 2582, 4420, 3123, 1345, 9662, 8932, 9706, 7982, 8784, 4862, 3669, 1881, 7248, 7109, 2175, 1685, 7722, 6005, 4063, 756, 3943, 9058, 7909, 717, 299, 2609, 2505, 8948, 8359, 4897, 288, 9493, 1979, 2000, 4708, 9770, 4720, 9353, 4580, 1012, 1439, 7065, 9163, 9407, 2955, 1238, 8733, 4462, 1138, 9869, 5360, 8104, 9461, 9920, 4000, 8907, 9849, 76, 3955, 6020, 7272, 3284, 1958, 1678, 7184, 5416, 2414, 413, 9600, 1772, 880, 9788, 9595, 2539, 8351, 191, 6945, 7613, 5227, 4553, 4597, 9459, 7976, 4008, 4504, 2543, 8068, 9768, 640, 8736, 5720, 6383, 8830, 629, 222, 9261, 9405, 6092, 6584, 1381, 4141, 8604, 3272, 2649, 7098, 3811, 1226, 1081, 6103, 2511, 4013, 6755, 4851, 9514, 1887, 6356, 4959, 2492, 4704, 4863, 9928, 2734, 6310, 9647, 870, 3996, 4206, 3761, 6995, 8717, 3489, 2271, 3093, 8898, 2796, 2850, 99, 4335, 2039, 5592, 8130, 8941, 8326, 1278, 9538, 8058, 844, 114, 456, 8772, 5253, 502, 2999, 1043, 3914, 1461, 6510, 6655, 7591, 3677, 5873, 8513, 4105, 3015, 7911, 6148, 4979, 976, 7828, 4938, 9343, 2031, 3054, 4867, 6502, 1162, 5744, 5634, 8429, 4054, 9403, 3910, 843, 7877, 376, 4592, 9884, 7289, 4842, 1537, 6626, 3581, 8083, 1538, 9327, 6313, 8557, 1068, 4714, 5823, 1731, 9084, 6588, 5286, 2749, 8558, 5374, 5027, 8492, 697, 2, 421, 5002, 1173, 2005, 5912, 7803, 5422, 8441, 4352, 1042, 3349, 6572, 8856, 3037, 1622, 8739, 899, 3649, 3341, 9944, 8832, 8953, 7794, 4368, 1236, 2585, 9809, 4884, 3580, 9669, 1146, 6057, 8750, 2553, 3795, 5943, 9112, 3762, 8955, 2542, 4025, 4011, 3974, 14, 3626, 8581, 5381, 219, 3968, 5009, 9260, 9088, 37, 4017, 3632, 2695, 5926, 7548, 3650, 5536, 4988, 4980, 267, 2250, 1723, 4190, 557, 9179, 2303, 3778, 1656, 2889, 309, 6528, 4836, 5126, 3953, 8652, 6741, 9981, 4881, 955, 3616, 4664, 8943, 243, 6318, 4575, 3930, 2974, 3721, 5408, 1877, 5040, 5998, 4729, 2397, 5806, 3112, 3834, 8609, 9402, 4688, 3535, 4540, 5091, 5674, 3320, 544, 5413, 5565, 5168, 5194, 2937, 3226, 9152, 5639, 6896, 5702, 1768, 8438, 3456, 9652, 9690, 4492, 6564, 9169, 7358, 7547, 5535, 8086, 6332, 2642, 9678, 596, 5231, 8471, 950, 83, 9556, 804, 1462, 2233, 9714, 2041, 1490, 3360, 8178, 1453, 2187, 3462, 9105, 5660, 7926, 859, 2106, 8412, 9144, 9101, 8799, 2433, 1040, 2008, 6286, 5517, 8705, 2002, 1629, 2203, 1427, 4084, 3055, 2451, 4401, 5208, 2765, 3066, 6183, 4506, 8092, 9243, 8690, 9783, 5363, 5361, 8519, 2545, 4791, 679, 5153, 7050, 2925, 5919, 6910, 7844, 7666, 1316, 9129, 774, 368, 6597, 9344, 5605, 7831, 5465, 2624, 6831, 3455, 3476, 1205, 400, 7471, 9707, 4807, 8375, 6941, 7440, 3789, 953, 7693, 6756, 6578, 1105, 7136, 7225, 4738, 1825, 3111, 7219, 4154, 8892, 9158, 4644, 3794, 513, 5411, 1606, 470, 18, 4193, 6377, 3880, 9894, 7072, 8442, 2429, 6574, 8110, 6018, 1332, 3026, 4768, 6109, 1703, 8444, 8990, 8589, 1178, 199, 1506, 1019, 4578, 1954, 6004, 3245, 6892, 9098, 2425, 5587, 7328, 8320, 32, 6152, 8343, 5175, 6262, 1421, 8876, 4170, 6032, 66, 3505, 833, 5000, 535, 656, 8839, 7342, 4198, 1959, 1083, 4402, 1960, 3921, 1046, 9854, 4888, 7546, 2356, 9619, 7469, 1305, 6740, 174, 2960, 4282, 9021, 9428, 216, 4057, 5428, 1554, 6198, 1203, 4965, 8042, 4205, 912, 7432, 2579, 1335, 586, 4774, 1614, 7346, 7562, 3711, 1849, 1523, 182, 9282, 5025, 8818, 3857, 6251, 7934, 9585, 3499, 4997, 8506, 2555, 2283, 442, 5291, 7705, 7933, 9722, 2888, 4213, 7011, 9451, 4010, 8288, 7265, 8210, 2372, 8405, 5931, 8634, 4915, 5966, 5123, 7364, 7446, 2422, 8503, 1672, 1331, 7380, 6519, 2476, 6093, 4785, 474, 9325, 6846, 8511, 2195, 213, 7344, 1718, 9494, 3750, 8807, 7540, 9641, 4293, 9741, 1243, 5061, 445, 1889, 8463, 2148, 2859, 7073, 3685, 7525, 7956, 4183, 6094, 4950, 7773, 812, 5874, 1275, 3120, 1029, 1643, 7455, 6546, 4273, 5127, 9043, 4118, 2134, 1908, 9590, 7961, 9397, 6132, 2068, 7478, 7636, 5394, 4443, 1468, 4127, 9133, 8146, 5644, 5239, 9044, 2516, 5884, 7205, 2292, 5647, 8931, 3625, 3691, 7283, 311, 4309, 2869, 8654, 8599, 6501, 52, 3871, 7875, 6144, 1674, 4800, 6796, 7944, 280, 2275, 9550, 3414, 8891, 2965, 4628, 4220, 1134, 1900, 8007, 3488, 8481, 3212, 2412, 4627, 6957, 8051, 615, 7753, 9114, 6023, 5215, 8995, 7861, 8219, 604, 4498, 6276, 8263, 1890, 3336, 5275, 7551, 2986, 1555, 7552, 2939, 8036, 8123, 7629, 4032, 5312, 1756, 1095, 1102, 575, 7482, 183, 5112, 6115, 967, 4447, 4509, 7338, 2665, 7024, 3046, 8724, 3651, 6869, 3643, 2559, 8460, 1150, 6143, 6665, 907, 4843, 2364, 988, 9075, 1474, 2502, 6498, 5734, 1476, 6441, 4219, 791, 9658, 3478, 4548, 7530, 1269, 407, 2866, 5848, 1079, 1155, 6437, 1641, 3193, 7223, 7712, 7609, 8050, 2791, 7487, 8644, 6438, 7093, 887, 2393, 6783, 7488, 7087, 3369, 1518, 779, 1406, 4579, 4258, 6495, 6487, 4360, 4020, 6369, 8700, 2977, 6145, 7655, 7385, 3034, 2291, 6850, 5423, 9962, 2042, 2446, 8074, 5778, 5820, 6912, 3692, 6299, 6611, 6160, 1966, 4951, 3785, 7918, 1766, 8888, 4756, 605, 8658, 380, 7403, 2404, 2504, 3180, 4513, 7231, 666, 2833, 917, 5623, 9487, 2208, 2892, 8308, 9052, 5165, 5305, 4536, 9503, 4501, 6699, 6905, 272, 9287, 794, 1765, 296, 5854, 5570, 6986, 5307, 4986, 2621, 3907, 4315, 3796, 2619, 587, 5594, 7575, 2793, 9387, 3141, 9255, 4830, 4693, 780, 123, 1925, 4448, 3671, 9615, 9212, 4016, 1211, 1612, 9798, 8711, 5569, 8922, 8300, 3712, 2369, 6838, 287, 5084, 5119, 4074, 853, 9193, 44, 6473, 8218, 8478, 4885, 3662, 5397, 8201, 4824, 8163, 4134, 6960, 9844, 5781, 5049, 7112, 6964, 4195, 6041, 5850, 9747, 5342, 5910, 9446, 4533, 4319, 708, 548, 6736, 7898, 5387, 3146, 7025, 9025, 105, 3044, 1435, 838, 4348, 4913, 74, 2640, 7341, 227, 7654, 5537, 7507, 5046, 1308, 9632, 3354, 9814, 4350, 6419, 3043, 2899, 2651, 9591, 8846, 5443, 2225, 1857, 5714, 7335, 2570, 3347, 4870, 1706, 8015, 5949, 1469, 5180, 2172, 3767, 1085, 1692, 7610, 9079, 9435, 1251, 8997, 1249, 3845, 8197, 6146, 2815, 9258, 5786, 8642, 42, 4096, 9779, 1124, 8338, 1569, 599, 6525, 6514, 1741, 1858, 180, 9583, 5563, 8117, 5260, 2884, 7180, 7697, 8571, 4590, 6954, 3407, 6283, 196, 8498, 9104, 8139, 5371, 5036, 1482, 6217, 3815, 6364, 440, 3931, 4921, 6639, 6053, 6242, 1549, 2102, 5436, 157, 2738, 1450, 4939, 7077, 3222, 647, 7200, 4076, 7166, 4182, 8395, 5876, 5235, 7966, 315, 6155, 8418, 1507, 1596, 8982, 7290, 8647, 8861, 814, 1368, 7978, 6380, 1447, 8870, 1687, 6256, 3174, 9141, 5136, 6667, 7408, 5813, 4522, 7925, 4823, 8528, 2573, 8508, 9979, 7129, 5979, 4940, 7407, 8458, 9840, 3142, 4297, 6173, 8591, 5967, 7297, 5551, 6181, 6689, 2660, 8280, 4475, 8353, 281, 5111, 7521, 3365, 7929, 5559, 9827, 9115, 346, 6643, 3291, 2650, 271, 1361, 588, 2590, 3902, 4236, 7555, 1260, 3493, 5541, 5273, 7132, 932, 9284, 6451, 4678, 9626, 2141, 2910, 469, 6192, 2571, 6956, 2858, 1897, 8455, 5785, 1698, 9691, 3935, 1294, 1319, 9177, 5586, 6301, 9443, 9950, 8014, 1061, 2493, 3386, 9455, 2839, 730, 1906, 7447, 2045, 7814, 6978, 746, 5270, 6640, 154, 6025, 8127, 9291, 4405, 2132, 9140, 1295, 1285, 4171, 2603, 5805, 3176, 5493, 2326, 4675, 8566, 2980, 3474, 4152, 1010, 3623, 3490, 4809, 8606, 3744, 3020, 6913, 1597, 7365, 8812, 5636, 3751, 4334, 4901, 8171, 2480, 1289, 6290, 5479, 2550, 1423, 725, 5262, 1214, 505, 2519, 8287, 8023, 6247, 6407, 1902, 4936, 2246, 4722, 1783, 4363, 137, 6925, 4723, 9642, 1905, 4825, 3200, 6260, 4272, 5753, 2099, 1519, 4734, 5515, 6492, 5976, 8496, 3791, 9708, 6147, 2592, 2311, 7004, 2808, 7387, 3788, 8946, 9791, 98, 269, 8887, 4320, 1171, 3220, 4040, 5475, 2368, 6507, 5900, 5202, 1818, 8350, 332, 8077, 5198, 4685, 3280, 8191, 7792, 9701, 6616, 2204, 5635, 1736, 6627, 2386, 1711, 8879, 6617, 31, 7627, 1009, 5853, 2056, 9813, 3172, 3071, 8198, 3030, 6196, 4086, 1479, 4613, 4196, 8936, 546, 9153, 7307, 6210, 5591, 5950, 4210, 3163, 7108, 7329, 3515, 2174, 2243, 1486, 2602, 6163, 6635, 7177, 5272, 5, 5481, 8476, 6695, 2605, 939, 7409, 6854, 6164, 7520, 4829, 564, 1032, 7684, 9553, 7095, 3870, 4066, 4985, 8561, 4128, 567, 6222, 6009, 1991, 9562, 8694, 7351, 5487, 3958, 4218, 5460, 7642, 5362, 5738, 5446, 1915, 1297, 9901, 703, 1630, 6171, 6801, 6651, 7947, 6248, 8202, 9563, 4989, 969, 1923, 770, 4115, 1158, 2785, 4891, 8472, 4458, 3572, 6974, 4582, 4706, 8040, 2447, 1868, 3154, 2328, 1165, 9580, 8125, 3010, 6252, 1608, 2427, 3352, 7203, 4617, 9368, 5470, 2771, 9748, 6387, 7723, 8296, 3661, 8072, 2957, 2668, 7975, 4981, 5740, 5321, 7457, 946, 3941, 1478, 5345, 6952, 490, 5391, 8456, 252, 450, 8151, 6881, 7620, 9341, 3131, 8255, 5003, 9984, 8022, 2552, 8108, 6768, 6224, 321, 7864, 8657, 8762, 9776, 5106, 9033, 3106, 4970, 5081, 3670, 1022, 4730, 5991, 7942, 9524, 8143, 3150, 7343, 3539, 9468, 325, 1498, 2322, 2904, 2330, 5696, 7254, 6343, 6891, 8451, 2510, 5101, 3242, 7608, 1167, 1733, 2556, 6758, 8631, 4977, 184, 8662, 7104, 2202, 3334, 6311, 1229, 7862, 3561, 9130, 5573, 3303, 4467, 4547, 7509, 7531, 8426, 336, 2877, 1654, 9002, 522, 1142, 8397, 1520, 9022, 6536, 2871, 7092, 8721, 8311, 7027, 6050, 9326, 7436, 7873, 2186, 9681, 2242, 6056, 614, 8554, 4532, 2614, 768, 1323, 8855, 1581, 2784, 1436, 7706, 8666, 3571, 4946, 8819, 705, 8734, 7678, 9699, 1264, 3904, 8811, 7304, 324, 8089, 2426, 2783, 5051, 3722, 731, 4728, 6238, 7162, 7900, 5145, 793, 7707, 5203, 8646, 8158, 385, 3211, 2919, 4416, 7664, 5571, 7490, 8938, 7413, 8200, 8009, 8291, 8905, 4902, 8105, 1645, 8041, 2982, 9797, 6585, 3728, 3033, 6893, 6562, 7067, 9753, 2051, 2104, 6245, 2756, 9369, 3634, 383, 5494, 9225, 5716, 9922, 3370, 9794, 4777, 17, 4589, 1330, 6033, 5065, 8026, 484, 5334, 2831, 4886, 2567, 5624, 4603, 9031, 6633, 6634, 6133, 2483, 1984, 310, 1762, 5128, 8735, 8220, 2900, 6085, 4650, 1487, 3584, 8692, 8292, 4737, 4131, 7493, 7395, 6840, 7494, 5505, 215, 3240, 5055, 9721, 6903, 4400, 8301, 8699, 3199, 4122, 2836, 2868, 4451, 7071, 3137, 3516, 3085, 3783, 9301, 2622, 6731, 6706, 6864, 139, 2465, 8701, 3023, 9186, 9392, 3867, 5609, 7437, 5115, 6852, 6029, 9958, 1944, 8758, 758, 4429, 4094, 5377, 3366, 9015, 5847, 5139, 5364, 9558, 6499, 1352, 7305, 9439, 8315, 5138, 1440, 9306, 2345, 1237, 5922, 8, 5368, 4240, 3047, 571, 6322, 6496, 2938, 5370, 4516, 7822, 6907, 3947, 5759, 1532, 5771, 1375, 2795, 3708, 8719, 4149, 737, 7974, 1871, 2098, 1136, 4267, 4370, 7851, 6037, 3064, 8534, 6191, 4507, 4012, 9063, 417, 9445, 4797, 4788, 2574, 883, 2396, 3681, 2019, 1873, 8253, 8165, 9644, 519, 273, 3118, 1562, 1100, 1774, 2378, 9663, 8085, 264, 6856, 7949, 5664, 6604, 4525, 6465, 3122, 431, 2861, 9417, 1840, 7137, 2989, 818, 5151, 7621, 6302, 4838, 5433, 5221, 4811, 3475, 1563, 6193, 6063, 9945, 1086, 9087, 5958, 3045, 4755, 2763, 393, 7117, 8770, 8673, 4994, 5903, 8294, 1953, 7582, 320, 9336, 3390, 6159, 3096, 1677, 2968, 3464, 3511, 3537, 4256, 7505, 7319, 1103, 3517, 4366, 8063, 3883, 6333, 6225, 510, 9614, 9085, 9245, 4826, 1475, 5432, 3555, 8742, 8093, 4119, 6950, 6702, 978, 6187, 6660, 9568, 5894, 4431, 9292, 8542, 3987, 4622, 4716, 4822, 6102, 4952, 7657, 4874, 231, 3982, 959, 3196, 1619, 815, 3672, 3346, 2127, 7779, 9598, 1329, 6681, 3793, 5437, 2453, 9384, 748, 405, 6879, 7499, 6223, 2163, 3719, 3690, 8293, 7442, 7984, 7018, 2681, 7012, 2923, 9121, 4695, 1901, 4189, 1130, 9116, 6385, 8283, 8538, 8048, 1163, 5078, 5005, 4827, 7451, 2095, 3135, 781, 7596, 7337, 6716, 4681, 687, 5398, 8352, 2524, 4109, 5747, 7456, 7452, 9094, 2690, 5088, 808, 7416, 5438, 2394, 9724, 4535, 7922, 2517, 3321, 2467, 6142, 5927, 6153, 6853, 745, 5760, 2540, 9903, 2022, 9543, 8786, 1133, 524, 8620, 5630, 7618, 6466, 8924, 7116, 7957, 6043, 6772, 7652, 6791, 4318, 8894, 6906, 3160, 9240, 2507, 5137, 7378, 8270, 621, 274, 6733, 9027, 9188, 1117, 555, 7813, 3325, 4987, 5726 ], [ 9851, 1909, 5578, 1004, 4031, 4900, 2452, 4184, 2440, 5638, 2495, 1033, 3448, 9996, 3134, 4055, 4259, 944, 6661, 2497, 422, 1911, 1833, 6097, 1065, 2778, 1933, 5263, 3261, 4043, 9689, 968, 1139, 7355, 477, 5114, 1788, 9873, 9294, 8630, 3567, 6141, 787, 7679, 7840, 6474, 8088, 4860, 9653, 7645, 4164, 951, 8672, 7653, 2565, 2281, 3514, 5905, 5316, 2088, 7049, 2685, 7545, 7776, 103, 3806, 9718, 8043, 1263, 4894, 6116, 384, 5107, 4163, 7623, 2067, 4783, 8124, 5386, 4923, 2060, 1074, 8078, 8094, 3563, 439, 7102, 1007, 2586, 9262, 7541, 8361, 5445, 2165, 3804, 6024, 4418, 5909, 3481, 4177, 3069, 8371, 6200, 6814, 6790, 5677, 1208, 7928, 3417, 47, 9860, 3241, 9181, 5522, 5457, 1943, 8869, 8486, 2972, 5708, 8185, 4766, 6712, 8383, 3132, 4849, 1416, 7058, 4455, 4837, 6915, 203, 9362, 1184, 6937, 4976, 2500, 795, 6064, 9679, 7755, 7867, 6657, 8940, 2101, 3847, 500, 695, 2873, 5210, 9483, 9139, 8070, 7023, 5034, 904, 4015, 4539, 23, 3229, 3842, 7889, 8949, 498, 3074, 1347, 3633, 5156, 1811, 5461, 3518, 2647, 667, 7895, 6342, 3786, 2040, 395, 7273, 5741, 3328, 8025, 8675, 1495, 5637, 2035, 6686, 2948, 4252, 5224, 9047, 2924, 2278, 1428, 2158, 5724, 1526, 6075, 8153, 5969, 4340, 3501, 5662, 7277, 7742, 778, 648, 251, 8533, 241, 5579, 7601, 6205, 5621, 7854, 6366, 96, 9432, 8021, 4564, 7529, 2920, 9436, 3463, 1681, 6984, 2140, 9220, 5212, 3663, 3869, 1388, 990, 3648, 6013, 561, 4543, 3745, 7081, 7622, 9113, 6481, 741, 8983, 5885, 7375, 9103, 6003, 5555, 9482, 827, 8679, 8337, 5453, 7528, 3090, 2551, 3730, 9899, 3314, 1598, 4200, 8576, 4427, 7515, 2726, 7669, 4534, 3401, 1891, 5477, 583, 9226, 7791, 9146, 473, 2626, 152, 9728, 7433, 9941, 2037, 9882, 1679, 3495, 1527, 7951, 2689, 4662, 1055, 8651, 506, 2030, 6985, 2944, 2166, 7513, 9635, 2837, 9302, 2952, 6876, 5380, 980, 9745, 7421, 6975, 2227, 4112, 1190, 2928, 2787, 121, 9740, 4926, 8549, 5770, 2767, 2360, 4642, 2807, 1299, 7658, 5059, 5602, 3182, 4652, 1694, 3317, 8056, 6350, 9716, 8403, 7852, 9781, 8597, 2803, 1648, 2389, 6867, 8858, 1002, 4449, 7708, 5144, 221, 736, 217, 9700, 1259, 8649, 9237, 6479, 609, 1363, 3345, 6457, 1776, 4703, 9256, 1907, 8793, 9870, 6279, 3254, 7921, 952, 6372, 6606, 5172, 5549, 4424, 2223, 6427, 9418, 2753, 5343, 6552, 1798, 1420, 4026, 4061, 1842, 6044, 3909, 711, 5295, 8362, 7140, 2061, 8302, 155, 3017, 9401, 6808, 3790, 8252, 1855, 5261, 2617, 3029, 582, 8925, 5160, 4871, 9424, 4384, 1955, 9742, 8232, 3433, 9412, 4698, 5670, 415, 4287, 7165, 496, 6797, 1962, 3614, 3383, 4464, 186, 5124, 3994, 5491, 9588, 7865, 7034, 6675, 6381, 1235, 476, 3538, 5562, 2482, 5225, 693, 8033, 5689, 6049, 1044, 6674, 8215, 1248, 5932, 1673, 3283, 5676, 9440, 4223, 8585, 6239, 709, 4594, 3903, 5024, 8309, 3251, 5688, 685, 3500, 7350, 6827, 7549, 1926, 9992, 7390, 9035, 8087, 233, 1988, 7745, 882, 62, 6963, 6720, 1008, 5255, 4775, 4436, 3506, 4699, 7537, 2058, 5812, 3298, 7021, 8084, 2736, 9965, 1784, 5317, 375, 7405, 6596, 211, 7492, 4638, 2992, 4941, 3312, 260, 1621, 3257, 6652, 7041, 391, 945, 5986, 5830, 9337, 1879, 6272, 6254, 4751, 1748, 6428, 7810, 1231, 2652, 8787, 1661, 4379, 5514, 6708, 8737, 5667, 3809, 1796, 652, 4179, 6924, 349, 9839, 6156, 9178, 7139, 8693, 9078, 5952, 2656, 2964, 2780, 6489, 2549, 1445, 7938, 1307, 632, 8961, 6721, 2790, 3934, 3773, 2991, 8407, 8241, 8937, 9458, 1919, 2043, 425, 7383, 620, 5490, 6754, 6973, 4089, 1253, 2970, 1582, 394, 1471, 2863, 4359, 8106, 78, 2987, 9973, 4753, 3374, 1755, 3660, 9231, 7923, 5441, 3387, 9000, 6776, 7717, 1386, 167, 3218, 5033, 914, 4887, 2459, 6186, 1771, 5577, 2777, 210, 5076, 4883, 7607, 9737, 7946, 1657, 2004, 2340, 9132, 8527, 7430, 9807, 1754, 33, 7845, 57, 9801, 9772, 58, 1141, 9111, 7269, 3814, 9463, 7301, 1613, 986, 3764, 9475, 2289, 7567, 825, 2762, 1501, 8911, 7943, 5062, 2053, 1904, 9943, 1799, 7835, 3502, 4712, 5020, 7099, 670, 2914, 8378, 8526, 5328, 9530, 1276, 7106, 9007, 5651, 2996, 3917, 7260, 3770, 6613, 2302, 5808, 2050, 5354, 3740, 2725, 5929, 9395, 6983, 7633, 9148, 1546, 6410, 350, 2456, 4707, 4473, 481, 7646, 2697, 5648, 5035, 4408, 1636, 2806, 9345, 7764, 6834, 5750, 8423, 339, 2878, 5804, 4792, 686, 6345, 1826, 7869, 2898, 8759, 9330, 8638, 8046, 6561, 5867, 3162, 5858, 5810, 7563, 4949, 9994, 4510, 1143, 7014, 4394, 7053, 5450, 3077, 1570, 6162, 1659, 9516, 3822, 8102, 7293, 9695, 3729, 3565, 2034, 8133, 7148, 8194, 4679, 8716, 901, 3855, 5102, 5617, 1433, 6750, 8942, 5921, 1928, 6592, 4967, 8032, 8598, 2781, 5110, 5434, 7914, 3570, 4577, 8635, 7890, 9867, 4660, 5442, 1609, 2210, 3273, 5008, 7234, 722, 521, 1547, 3817, 7578, 2672, 3147, 4558, 6670, 7799, 7899, 396, 3526, 4125, 9606, 6367, 9820, 5722, 8195, 8107, 6463, 1489, 2533, 9283, 1780, 1181, 3829, 5449, 6420, 8140, 4890, 5018, 3818, 8389, 2025, 4446, 6866, 9154, 6527, 3095, 1572, 739, 1539, 3201, 3428, 3483, 5846, 4390, 2766, 9771, 3837, 1987, 7661, 7054, 2687, 3673, 8174, 7754, 9274, 1719, 1947, 5254, 7327, 2358, 1974, 1605, 7019, 29, 789, 2197, 8116, 3282, 5712, 6682, 1827, 4614, 2164, 862, 8695, 4649, 8012, 6582, 1170, 4562, 2321, 1912, 1204, 8357, 341, 3504, 3479, 2669, 2940, 1800, 4641, 6996, 7826, 869, 3183, 1392, 56, 7716, 9841, 3149, 4919, 285, 6170, 8167, 6940, 4271, 6111, 747, 9986, 5447, 3018, 2804, 6506, 6433, 2054, 6565, 3385, 9959, 5945, 5072, 4631, 6467, 991, 6314, 3802, 7598, 3136, 3266, 854, 2071, 7212, 4687, 7311, 4571, 702, 5529, 1726, 6813, 4391, 7090, 2065, 4383, 9746, 5706, 4382, 4392, 6411, 5860, 8804, 418, 9466, 6478, 3588, 1087, 5056, 7468, 5699, 606, 5896, 1985, 2474, 4973, 8205, 6505, 3356, 235, 7559, 1255, 8312, 4636, 4828, 754, 7156, 6255, 5028, 4217, 5473, 9374, 1222, 1018, 4661, 9953, 792, 2748, 6030, 840, 5259, 447, 426, 7502, 3262, 1651, 916, 5233, 166, 8112, 9296, 3779, 7091, 8682, 831, 1543, 2912, 8269, 1920, 8349, 6693, 2351, 2484, 6034, 5355, 7510, 6214, 2523, 1623, 9929, 2307, 4434, 3473, 834, 5836, 3918, 876, 1839, 7309, 4790, 9444, 8170, 5839, 9815, 6452, 8261, 6908, 7393, 1995, 6680, 72, 788, 5995, 4975, 7508, 1107, 9471, 1186, 5603, 5314, 7366, 5038, 2856, 9464, 8616, 8813, 3444, 3267, 9983, 7532, 4441, 1412, 3628, 452, 9895, 7560, 5794, 7535, 6123, 2444, 1934, 6229, 3508, 1154, 7427, 9379, 3541, 3216, 3016, 8409, 8179, 9335, 9878, 4520, 6619, 4316, 7204, 344, 6535, 7837, 7935, 3173, 8061, 178, 3477, 6894, 5099, 3774, 6065, 9364, 5870, 8967, 5725, 1379, 4397, 7161, 4670, 9596, 6090, 4457, 6440, 4353, 283, 6166, 1309, 2786, 8355, 8764, 8103, 2740, 7785, 6559, 9923, 6298, 2694, 1585, 538, 2179, 2711, 3178, 4129, 5655, 9763, 5607, 4411, 6176, 8685, 5803, 7261, 6363, 6747, 2654, 2612, 3590, 7292, 7168, 7777, 5539, 7458, 3586, 4306, 4872, 6890, 5431, 654, 2712, 4911, 3452, 8166, 9627, 8709, 1326, 2171, 5939, 8500, 4961, 5703, 8900, 7242, 1536, 7766, 2704, 6048, 1153, 3421, 5936, 5358, 1557, 9361, 187, 77, 3056, 9926, 4663, 1993, 5357, 2273, 34, 3184, 6060, 7376, 2514, 6988, 7142, 9730, 3654, 6149, 4847, 5057, 3816, 4238, 4039, 3409, 8725, 9097, 719, 6182, 9971, 1717, 1137, 3666, 4142, 1534, 8264, 284, 2306, 7101, 4702, 3435, 9038, 6739, 3258, 4228, 9927, 2252, 4796, 1054, 5799, 8314, 9430, 3851, 6121, 8002, 1617, 2481, 5166, 80, 3807, 4604, 9537, 1059, 5938, 2137, 5973, 9988, 1311, 664, 5595, 2598, 749, 514, 998, 464, 4331, 517, 1791, 3181, 4227, 9126, 2962, 733, 2216, 6672, 5533, 3304, 1522, 6337, 1667, 5320, 4082, 4388, 7188, 4280, 9769, 4481, 3805, 797, 1449, 1092, 590, 4023, 9448, 3940, 7638, 1408, 3798, 6423, 8284, 2830, 9655, 1821, 7973, 8331, 6512, 9023, 9821, 3405, 7146, 7833, 9713, 1952, 9977, 5697, 4898, 8376, 5649, 8669, 9009, 1852, 9544, 8187, 7310, 141, 6250, 2420, 8848, 4007, 1785, 9639, 9030, 4527, 8619, 5243, 5866, 4268, 5415, 5480, 4147, 3715, 2407, 9409, 8470, 5606, 964, 327, 9554, 7748, 3246, 1560, 8849, 4224, 9520, 4460, 1752, 5527, 7784, 1689, 5285, 732, 6759, 9005, 5690, 5179, 8265, 8037, 2750, 249, 1545, 2235, 3887, 9531, 4656, 2860, 5292, 8909, 4167, 9320, 7105, 7736, 189, 7969, 2760, 1088, 1075, 718, 6330, 1210, 2458, 1132, 7306, 4101, 9539, 5289, 573, 9964, 3498, 589, 2698, 8234, 7348, 7801, 5095, 5615, 7315, 1693, 6771, 8069, 7125, 5544, 3945, 908, 4469, 1863, 3333, 6888, 8686, 956, 5627, 7667, 8306, 6980, 7042, 9408, 5403, 403, 1927, 9356, 6305, 6676, 2063, 9592, 2903, 6936, 322, 7603, 4275, 8661, 5116, 8629, 8431, 3707, 7257, 9976, 7281, 8728, 554, 7418, 7474, 5719, 4770, 3849, 5791, 3598, 6328, 7076, 3827, 9089, 2391, 3679, 8172, 8778, 2670, 8782, 1067, 9202, 7266, 5897, 8785, 8268, 4745, 3998, 7619, 7983, 790, 7634, 7682, 4765, 1017, 3965, 1115, 7659, 7429, 8118, 3640, 5861, 3243, 3856, 7082, 9373, 2929, 6503, 4231, 9102, 7268, 1052, 7714, 3279, 9068, 1898, 8834, 1801, 6454, 8833, 7703, 8091, 4381, 3704, 64, 5560, 4347, 5633, 8004, 9213, 8791, 5811, 9195, 3503, 5779, 3693, 7743, 7472, 5818, 8169, 6393, 8607, 2942, 3067, 6992, 4232, 6703, 8160, 2963, 1225, 974, 2230, 2875, 777, 9314, 889, 2416, 411, 2600, 1642, 5299, 9711, 1510, 1135, 5817, 6844, 1350, 5622, 2587, 2410, 8552, 2973, 6522, 6538, 3993, 6098, 8400, 8505, 5400, 570, 7133, 7221, 6631, 4415, 7080, 925, 4103, 3554, 4880, 8073, 6698, 9083, 479, 8190, 1721, 8656, 509, 9457, 963, 8551, 5521, 2591, 3231, 1722, 646, 5173, 9205, 2310, 6793, 7020, 3009, 6632, 1157, 8541, 5133, 9470, 358, 8727, 8425, 6825, 6746, 9278, 3611, 9587, 5837, 6540, 5751, 67, 3911, 5287, 8588, 7599, 5429, 7217, 8681, 7144, 5060, 3700, 1267, 7737, 4982, 8217, 3161, 5745, 2402, 4376, 242, 7533, 2152, 6679, 7428, 2347, 3204, 8838, 458, 8816, 5937, 4808, 1013, 5538, 1516, 1729, 2009, 6966, 1041, 3277, 7404, 2143, 9433, 2257, 2287, 8222, 1053, 9925, 9535, 8587, 2304, 2390, 4759, 340, 5911, 9551, 7371, 1668, 8446, 84, 4328, 9003, 9490, 8035, 4246, 726, 5658, 6732, 3412, 6015, 8247, 1122, 5339, 2357, 4841, 4468, 1442, 2632, 8655, 8473, 468, 3129, 9253, 7361, 1094, 9560, 6327, 3912, 574, 6644, 3766, 7240, 1882, 2959, 8075, 6213, 4616, 94, 314, 2677, 3591, 1584, 9767, 2918, 3769, 2788, 6253, 4515, 2115, 1688, 2584, 7615, 9643, 2353, 2249, 8659, 3247, 3889, 2090, 8743, 7377, 5561, 7980, 7624, 2363, 1867, 1303, 4135, 3322, 1845, 8805, 8757, 9510, 5933, 3720, 1058, 1477, 5325, 3439, 3799, 3758, 3362, 8562, 9359, 1201, 360, 3249, 3675, 2151, 9532, 461, 3683, 3416, 9872, 9295, 1414, 9171, 9386, 9972, 9072, 7070, 9937, 4653, 8665, 3004, 1917, 3615, 7202, 4330, 4332, 200, 2893, 9351, 2028, 2661, 4526, 282, 2494, 7279, 8464, 2212, 4523, 551, 4095, 3285, 9061, 223, 9398, 297, 3422, 5518, 2438, 8530, 454, 5645, 6726, 9048, 2637, 7630, 5456, 1409, 124, 1859, 7384, 6470, 6722, 5037, 9450, 4899, 2696, 303, 5654, 2934, 1192, 6413, 6753, 8841, 8698, 6598, 50, 3647, 928, 9897, 7046, 8434, 1763, 2966, 979, 3878, 2776, 9526, 5184, 3471, 9265, 4162, 2945, 973, 4832, 6172, 8712, 5665, 4155, 45, 370, 4208, 1156, 3073, 3906, 3813, 4570, 8595, 3124, 7668, 8797, 4517, 451, 5641, 7036, 8560, 1663, 1257, 1968, 9939, 170, 6062, 8393, 8969, 8664, 5063, 107, 4591, 1662, 6308, 5323, 911, 8115, 8356, 9421, 2338, 4935, 487, 6209, 1014, 3393, 2917, 8544, 8975, 3426, 7665, 9046, 1179, 2241, 6070, 2530, 9893, 4085, 3025, 6805, 494, 7141, 5675, 2901, 1749, 1957, 2588, 6885, 467, 488, 6751, 1417, 3529, 9093, 1005, 9080, 1528, 9735, 3932, 4329, 8417, 472, 4912, 2775, 2352, 983, 193, 4461, 9318, 4150, 5784, 7477, 8935, 2931, 1552, 2085, 2023, 1390, 9149, 937, 2046, 2251, 5826, 3260, 7107, 6671, 7587, 6816, 5723, 4798, 2692, 1023, 9846, 3119, 3250, 8203, 6375, 4136, 1779, 7496, 3602, 8570, 2139, 5278, 2818, 2583, 4831, 3665, 5574, 3431, 2280, 3126, 6267, 7470, 7230, 9761, 5214, 230, 9659, 6212, 673, 7345, 8466, 6865, 8601, 2382, 4087, 402, 2256, 6282, 8064, 9624, 9013, 3271, 8199, 9880, 9757, 1348, 4672, 0, 4995, 4748, 5211, 2072, 9209, 9969, 8402, 334, 9989, 2666, 6399, 7481, 2437, 5176, 9125, 7960, 2405, 1872, 2812, 9709, 8590, 6257, 8959, 5359, 9456, 6704, 2772, 2079, 7097, 4075, 1215, 8246, 4414, 4490, 2541, 9481, 9868, 8277, 6678, 390, 226, 4866, 1302, 9358, 5466, 4787, 5891, 8902, 1464, 8626, 9812, 6787, 7120, 504, 3472, 365, 9822, 198, 6291, 1599, 156, 623, 3084, 7037, 6493, 4292, 4612, 491, 4029, 1001, 6663, 2941, 9766, 9234, 8149, 5304, 475, 2096, 1188, 8964, 8521, 1832, 5187 ], [ 3638, 4248, 8297, 1956, 6919, 2716, 9859, 8744, 138, 4044, 6916, 1787, 9236, 6096, 8346, 1413, 8999, 9934, 8847, 4754, 8189, 4051, 8746, 6488, 5284, 6955, 822, 3098, 6281, 3521, 2294, 2214, 3966, 9060, 936, 9889, 7134, 9648, 5366, 2473, 4440, 7229, 2265, 8410, 6785, 8327, 8653, 1, 1626, 5011, 6126, 8111, 1380, 948, 2282, 9982, 5385, 486, 9610, 9921, 4930, 5246, 7522, 1743, 3964, 4478, 4049, 2136, 5352, 7244, 4038, 9331, 9184, 7068, 9896, 7952, 8448, 8574, 1241, 3116, 8242, 7264, 918, 8208, 9050, 8853, 2645, 3699, 9492, 4371, 5309, 8003, 9705, 8313, 9800, 4760, 3151, 9187, 6459, 6942, 7916, 837, 7680, 2421, 4242, 4773, 28, 1189, 3706, 8384, 1684, 1853, 1234, 6932, 634, 7159, 700, 7372, 5427, 6658, 2301, 1869, 7220, 6605, 5947, 7397, 4721, 7121, 9498, 1325, 6688, 2329, 8539, 8233, 1020, 6789, 6362, 2981, 3775, 4295, 5444, 3070, 135, 130, 7411, 3527, 8457, 6409, 8981, 7604, 4413, 8956, 3765, 766, 7841, 3718, 1541, 9034, 5319, 6544, 7063, 5483, 6820, 2819, 3562, 8773, 2080, 6946, 1147, 5732, 9434, 6830, 4033, 710, 9348, 1978, 6179, 4126, 542, 8049, 2739, 2755, 729, 2851, 2361, 4993, 9569, 352, 7406, 1893, 7932, 6620, 7915, 133, 9515, 5625, 8128, 4621, 5067, 4090, 6007, 1843, 1632, 3048, 2044, 5951, 8245, 5567, 9404, 4226, 8477, 9758, 1745, 1039, 6664, 9931, 7314, 3800, 7910, 9755, 7821, 2047, 5964, 7056, 7247, 5752, 9670, 7399, 9067, 377, 712, 9437, 1530, 3686, 6338, 1195, 4342, 8704, 4398, 6972, 8573, 5833, 8738, 5801, 8142, 9911, 8034, 6052, 4301, 3307, 8008, 71, 4500, 2133, 4505, 3925, 1451, 438, 3990, 6818, 4374, 6692, 520, 3731, 6778, 5219, 3301, 8903, 5543, 3210, 1976, 2572, 1514, 26, 4221, 9168, 312, 3644, 3846, 8254, 8831, 3006, 2154, 5472, 5200, 7825, 8845, 8305, 4486, 7278, 9602, 5162, 2359, 5497, 6353, 7674, 7374, 4673, 6868, 7727, 6798, 2183, 1460, 2190, 7570, 1918, 1878, 2857, 1268, 8994, 3853, 8715, 5666, 1795, 9454, 4070, 5807, 6118, 872, 8749, 6677, 2699, 6773, 5459, 5333, 863, 4611, 419, 6766, 4192, 4117, 942, 4713, 1272, 3227, 8027, 2408, 1603, 9622, 333, 6158, 5430, 7453, 1036, 6405, 5047, 6842, 8720, 6035, 3950, 1620, 9956, 110, 7514, 4470, 2728, 1404, 8768, 4083, 9528, 9029, 4812, 9367, 5749, 829, 3976, 1589, 1216, 2434, 8001, 3292, 2744, 6558, 5765, 5348, 7500, 5485, 8364, 2926, 4717, 5053, 5626, 4909, 6971, 4367, 4758, 2969, 3485, 465, 6949, 6590, 5308, 888, 5580, 8670, 7031, 8944, 8330, 3755, 5530, 8989, 2366, 9247, 4537, 4752, 5893, 2841, 9522, 735, 6435, 8610, 3311, 6824, 9039, 6370, 6593, 3705, 5252, 4733, 5946, 3547, 8722, 48, 8278, 6006, 3158, 9281, 6933, 366, 3014, 4605, 9666, 5996, 9502, 8489, 6780, 3843, 9375, 5881, 1513, 3908, 7611, 5071, 9138, 4454, 1443, 4769, 761, 8794, 1883, 4586, 6379, 3714, 1116, 3492, 8164, 7945, 6998, 5709, 4157, 8175, 2015, 7501, 3185, 8939, 4503, 1324, 5757, 9305, 5188, 9871, 2751, 9637, 6603, 2027, 4088, 8550, 5140, 4106, 2577, 5193, 1838, 3230, 8802, 5512, 7972, 1734, 5646, 7808, 7936, 3956, 173, 7388, 8824, 8317, 8385, 434, 9799, 5192, 1940, 6461, 3977, 3081, 8341, 4684, 87, 6823, 727, 2759, 410, 2215, 6855, 1292, 5797, 5420, 3828, 2192, 256, 2445, 1930, 9323, 8251, 5016, 8411, 5356, 7226, 2879, 8228, 4369, 5596, 9165, 3864, 5727, 7211, 3980, 8872, 2823, 921, 2457, 4971, 5679, 1250, 9842, 4233, 6047, 7920, 2189, 8392, 5780, 3739, 5508, 9912, 691, 7878, 5546, 8109, 8751, 5957, 1372, 8972, 7259, 7816, 3782, 4922, 8976, 7330, 2182, 7122, 2300, 9863, 2105, 5916, 775, 5031, 8333, 4556, 6591, 4658, 1119, 6969, 8633, 8763, 9319, 165, 5965, 2231, 5244, 2883, 7830, 1910, 5908, 2713, 4820, 3723, 5167, 832, 9107, 4581, 6036, 8923, 7660, 6723, 1441, 8836, 1977, 2082, 2886, 246, 270, 1430, 6742, 527, 8057, 3810, 7594, 1256, 523, 7015, 3830, 6804, 4615, 1374, 4864, 1025, 3359, 3629, 6227, 3617, 2077, 3465, 8605, 6051, 8207, 7465, 7176, 9390, 783, 9725, 1658, 1384, 4778, 5827, 7568, 3109, 6767, 3850, 2799, 3825, 9376, 3898, 618, 8920, 5390, 7463, 2840, 8177, 5393, 4667, 2403, 8726, 861, 8914, 4385, 3361, 9055, 5369, 8367, 2733, 4705, 2693, 7222, 4463, 9751, 4496, 4821, 4983, 3002, 8307, 4643, 4365, 5619, 1682, 2024, 9866, 2854, 3812, 5336, 3732, 2872, 1393, 1696, 3524, 3434, 628, 7454, 9175, 1946, 9073, 5503, 1298, 2838, 6734, 6389, 7735, 3724, 8985, 5613, 8667, 7585, 1318, 6430, 4169, 6847, 3734, 3487, 1365, 7809, 9664, 172, 3579, 7370, 9902, 9908, 9257, 329, 5802, 6835, 4873, 1759, 8865, 860, 4437, 8499, 8801, 5471, 1213, 9194, 3335, 672, 7711, 3232, 5486, 2343, 423, 2119, 508, 9534, 1824, 9166, 6523, 459, 4595, 4852, 1515, 8267, 6909, 2026, 5297, 8800, 3396, 4180, 4093, 6077, 7147, 4050, 8893, 8030, 5832, 3406, 8225, 661, 4629, 9012, 8960, 4835, 7907, 5269, 2853, 1816, 9656, 3102, 909, 7681, 4041, 9762, 4736, 7866, 715, 7793, 3741, 7581, 3060, 8676, 1366, 3028, 1524, 4784, 2147, 3203, 2314, 2746, 2534, 3557, 8141, 807, 3491, 435, 7883, 6455, 5871, 593, 2616, 851, 2615, 7078, 9276, 6958, 4634, 2170, 5700, 3425, 4058, 7685, 7491, 5190, 1415, 5146, 21, 9317, 6294, 9657, 5766, 5191, 6902, 9574, 2895, 913, 304, 2032, 8406, 2305, 805, 7688, 5877, 6180, 3826, 3684, 5042, 1459, 3408, 3445, 4859, 591, 6745, 7994, 5213, 3159, 4019, 5277, 3657, 5550, 9051, 3207, 3735, 8148, 4471, 6656, 1652, 8584, 7448, 920, 1296, 4560, 9978, 8055, 6897, 637, 2348, 4077, 70, 7908, 7191, 9566, 7787, 1283, 1916, 809, 2117, 1444, 9593, 6961, 7441, 9322, 9933, 6500, 4750, 75, 2180, 1182, 6542, 8747, 6422, 364, 5096, 2325, 810, 1834, 6335, 7357, 9147, 7860, 7516, 7475, 2548, 3429, 9830, 1145, 2634, 9900, 6131, 682, 7262, 597, 7631, 7026, 3143, 563, 2125, 8740, 9460, 3209, 2014, 5901, 3967, 4530, 8236, 1876, 4573, 2167, 4574, 3748, 9340, 8866, 3460, 5597, 1773, 6453, 3687, 8469, 7150, 627, 1426, 4697, 7979, 714, 7198, 9053, 9135, 3605, 8274, 7836, 6264, 3024, 6991, 8332, 4945, 6504, 9586, 636, 4624, 5264, 543, 9715, 2006, 4158, 8325, 1945, 6624, 9290, 4602, 9136, 8436, 9309, 9952, 3264, 9207, 3833, 562, 289, 4666, 525, 9406, 2486, 5914, 9946, 1704, 8000, 6265, 7690, 5499, 356, 140, 7602, 6953, 1511, 2844, 9834, 7886, 232, 6067, 3117, 848, 3177, 300, 3364, 8186, 1313, 8401, 8424, 306, 6977, 2264, 7135, 662, 7163, 972, 1970, 1809, 4576, 3551, 4422, 4932, 698, 9676, 1370, 7426, 4003, 5691, 7291, 5148, 6316, 2268, 2159, 9420, 6031, 2018, 2770, 5220, 6167, 7818, 3319, 8316, 4212, 8484, 8929, 2122, 8775, 6042, 4802, 7143, 5010, 7270, 2385, 337, 9677, 3179, 3999, 5681, 5464, 3960, 4407, 9347, 5052, 3191, 1492, 8703, 9286, 1975, 9611, 8039, 3377, 2450, 3187, 6715, 7804, 7312, 2038, 6612, 7892, 1355, 7008, 51, 4143, 6083, 1836, 6221, 3252, 612, 5825, 607, 3075, 6744, 1568, 5271, 6184, 4739, 6303, 3512, 9054, 1480, 245, 8480, 4845, 1322, 3305, 3175, 7224, 3559, 7811, 5199, 39, 3713, 9328, 8710, 6127, 3418, 8851, 6841, 3413, 2890, 3641, 5581, 6285, 8918, 112, 9625, 1261, 3957, 7987, 3550, 4968, 1271, 5340, 6662, 1830, 9777, 5755, 1113, 3376, 7786, 5097, 4146, 1128, 5868, 4216, 1160, 5731, 9086, 5332, 8779, 6859, 4364, 966, 7733, 6509, 8391, 9222, 6104, 7905, 3248, 3099, 3454, 7238, 1280, 2596, 6089, 6306, 1848, 5170, 5365, 8991, 1093, 2610, 9864, 4062, 8993, 5695, 7064, 7770, 1456, 2794, 3865, 7167, 5814, 9480, 359, 8992, 8161, 1727, 1631, 8628, 3326, 5532, 1448, 7842, 1277, 9019, 5758, 2236, 3599, 9692, 2752, 8495, 2124, 1463, 5395, 6965, 2702, 823, 3278, 7434, 7940, 5298, 7359, 8224, 7741, 9581, 3038, 6277, 6760, 5875, 2580, 6469, 1349, 3438, 6576, 3757, 2178, 6622, 4361, 5338, 613, 2608, 4484, 5329, 2086, 2894, 8966, 3313, 1166, 9360, 6899, 2719, 989, 4538, 7768, 7637, 8475, 5346, 4399, 2126, 4762, 9366, 1697, 7172, 9855, 8913, 3840, 7320, 8563, 8006, 7614, 2852, 993, 9961, 3290, 1232, 3395, 266, 291, 4690, 8095, 5956, 651, 205, 9738, 2513, 9425, 6829, 8509, 5130, 9478, 9310, 4848, 207, 6874, 5066, 2576, 362, 5435, 5730, 8404, 4984, 6807, 5519, 7985, 6477, 302, 4262, 4969, 3701, 3556, 2897, 1880, 7379, 7237, 5282, 902, 4472, 965, 3803, 4776, 323, 3507, 579, 9131, 9885, 3532, 720, 3874, 6918, 4962, 9729, 3759, 8608, 7846, 6861, 7539, 1655, 2475, 7824, 681, 935, 7870, 2173, 3841, 8753, 5556, 8045, 7600, 811, 5865, 7527, 9785, 6654, 3432, 9172, 9329, 4955, 5971, 3656, 2953, 6628, 4630, 4092, 6130, 5895, 537, 146, 6082, 8537, 6382, 8603, 8369, 8504, 1778, 4269, 5999, 8229, 6021, 2334, 5217, 2601, 2413, 6378, 1405, 8510, 2826, 1633, 7443, 1797, 7495, 3286, 5961, 2012, 8660, 1062, 6275, 6010, 3696, 8640, 4308, 8912, 9016, 7589, 9853, 8899, 2003, 2211, 5782, 1792, 6464, 2066, 5280, 9811, 704, 6788, 3138, 3823, 2876, 2764, 603, 2239, 4289, 4918, 8677, 6928, 478, 7896, 4257, 5610, 6962, 3922, 3443, 2455, 6339, 9605, 4099, 6837, 8235, 6521, 5426, 4444, 9221, 483, 3058, 9100, 2248, 5378, 7647, 2581, 6534, 3929, 6202, 2908, 8928, 4355, 1504, 9876, 8668, 414, 7127, 8904, 5673, 3402, 7089, 2705, 147, 2560, 7088, 7201, 5389, 3876, 3263, 1929, 1746, 1884, 2477, 9628, 1690, 119, 4324, 3310, 957, 2961, 5899, 6073, 8771, 9881, 9280, 5789, 6520, 879, 1790, 6207, 8520, 6516, 4645, 4846, 985, 2112, 2487, 8808, 4425, 8611, 6762, 3772, 2816, 7796, 9263, 2460, 6729, 9118, 3509, 9703, 8850, 6532, 9555, 6450, 5859, 3981, 2797, 1972, 1999, 4197, 5201, 4875, 2081, 2745, 3928, 8465, 3522, 5599, 4459, 6208, 5131, 2814, 619, 4767, 6054, 2976, 7670, 5590, 2535, 8155, 5663, 3604, 9518, 6175, 3989, 4, 5588, 8156, 6395, 1056, 1586, 3459, 6136, 5844, 5030, 3427, 4466, 3281, 9117, 2298, 8099, 3225, 6533, 1793, 7126, 7003, 9008, 5796, 2717, 16, 2435, 5985, 4144, 2731, 3939, 1770, 8335, 581, 2169, 2464, 6331, 7462, 8968, 1649, 6106, 4298, 9414, 6857, 9062, 5611, 4810, 7363, 4194, 4047, 9682, 1148, 2849, 7917, 3186, 2874, 7689, 1812, 61, 1049, 5373, 3885, 7675, 5029, 5585, 3893, 3975, 5800, 8443, 728, 3860, 9949, 9720, 5614, 5089, 8120, 9124, 3542, 441, 3403, 2673, 7739, 1781, 5236, 8221, 9780, 212, 2724, 763, 6537, 2686, 7085, 5983, 5279, 401, 4255, 4700, 330, 2862, 938, 2846, 2254, 1183, 348, 665, 1473, 55, 9521, 161, 1418, 1034, 6882, 8059, 3458, 1875, 7322, 5735, 5948, 2244, 8386, 910, 9484, 9778, 6293, 5132, 7173, 38, 5687, 2638, 4563, 9210, 1333, 7986, 9565, 409, 6325, 262, 1080, 515, 2536, 4818, 6690, 6811, 134, 1497, 9608, 1378, 9381, 1120, 6346, 3630, 5944, 7802, 6623, 1982, 8884, 316, 9334, 6666, 7044, 3259, 826, 3214, 9620, 9974, 5118, 6447, 5657, 8324, 1577, 8329, 3167, 8546, 3289, 1109, 6921, 7367, 9, 357, 3234, 5301, 6068, 7400, 3961, 1286, 6416, 6185, 3171, 8447, 531, 2293, 7628, 6403, 5183, 7208, 7894, 5887, 743, 2400, 9512, 3698, 1680, 7298, 803, 7157, 3655, 6648, 602, 6822, 8586, 95, 3104, 9570, 5129, 4344, 2320, 3992, 4445, 5962, 6361, 782, 3190, 9307, 4892, 5058, 9924, 8860, 5502, 9477, 2113, 7534, 6725, 3620, 3316, 2020, 2885, 6922, 2512, 3003, 6244, 2103, 5296, 2417, 1864, 1820, 9970, 8837, 657, 7424, 5632, 5545, 3156, 7258, 7781, 5396, 128, 1980, 2954, 7178 ], [ 5159, 6526, 4885, 2056, 7968, 9521, 6032, 2956, 9893, 4425, 1618, 4666, 403, 6220, 2727, 5343, 5144, 2192, 5423, 4076, 9567, 2670, 4839, 7790, 903, 9407, 8062, 5663, 7875, 1760, 5057, 1446, 2615, 1834, 8555, 5803, 7016, 4360, 6140, 8339, 4890, 9218, 799, 7753, 1088, 1452, 2341, 1419, 5891, 3581, 6188, 6537, 5913, 1566, 8200, 3183, 4269, 2311, 3129, 1222, 7444, 2368, 8106, 5372, 2277, 4786, 6991, 208, 2616, 3199, 4518, 3920, 5313, 1366, 4674, 6039, 2966, 819, 4634, 9489, 6391, 2931, 1133, 9409, 1161, 9094, 1008, 5930, 5931, 4473, 8006, 2517, 7464, 7758, 8580, 78, 2164, 6666, 2644, 1107, 8736, 2709, 1112, 6340, 2631, 7455, 9402, 7639, 7477, 5731, 8210, 8683, 2041, 8392, 6174, 9766, 9219, 1192, 9225, 8795, 1122, 6503, 7235, 388, 7325, 358, 3365, 1882, 3454, 6699, 3826, 5691, 7033, 2186, 199, 2274, 5179, 4999, 6147, 3443, 3088, 696, 6731, 8923, 5823, 7065, 2487, 3984, 8234, 2518, 3467, 5397, 4319, 4409, 5261, 8460, 3292, 5406, 6377, 8630, 9082, 9262, 6170, 9579, 985, 6345, 4883, 1672, 7748, 3789, 9828, 7847, 1174, 100, 7722, 4134, 2507, 4704, 8551, 8712, 2293, 5615, 1710, 4005, 7716, 4318, 4752, 176, 5188, 2718, 7276, 6643, 6615, 6001, 3647, 6762, 6905, 8101, 8375, 3788, 2324, 9601, 7899, 8055, 1817, 9891, 413, 1144, 3364, 9541, 6481, 3323, 487, 322, 5569, 136, 7031, 7907, 7826, 3765, 6424, 2290, 4897, 5473, 2191, 7667, 1519, 5921, 1175, 5204, 259, 1345, 2416, 6451, 711, 462, 7078, 5957, 8004, 8729, 3516, 9440, 3573, 3845, 1270, 5557, 7503, 7625, 4297, 8592, 1243, 2530, 9838, 2084, 4768, 6512, 14, 5536, 1767, 7264, 6071, 3375, 6372, 9048, 7139, 2635, 8596, 6542, 5790, 2911, 7561, 25, 3478, 8894, 2013, 1209, 8389, 4848, 7032, 3446, 5637, 6522, 8222, 8302, 4216, 729, 9851, 914, 1260, 2283, 3924, 3346, 5327, 8414, 2109, 3387, 7581, 8386, 9872, 4104, 6370, 7940, 6637, 9981, 9062, 4942, 1236, 2141, 7996, 8174, 5960, 3347, 6042, 734, 6710, 4587, 4506, 2980, 2836, 9584, 686, 6263, 4975, 4250, 7571, 9527, 9744, 1616, 3634, 7289, 5760, 9638, 8319, 490, 3893, 3674, 1038, 8927, 9243, 6692, 8629, 9064, 5622, 5917, 6964, 8311, 6026, 2748, 6618, 8668, 4422, 1312, 1326, 6575, 4493, 3615, 5887, 9662, 1121, 1592, 2276, 293, 7101, 8854, 5848, 4575, 5633, 3260, 8779, 5454, 533, 2199, 5086, 1622, 1282, 424, 2858, 940, 6282, 3623, 9736, 851, 3192, 3627, 1957, 7179, 5475, 2449, 552, 7852, 735, 5689, 1822, 3596, 8275, 8872, 9426, 8337, 625, 3701, 9307, 5160, 6634, 5525, 4393, 8936, 2647, 236, 990, 7433, 2559, 1595, 5860, 1314, 7221, 87, 2967, 8030, 3426, 3491, 1004, 6501, 8570, 3879, 2241, 4896, 5770, 3275, 1237, 2641, 4780, 4212, 5330, 7563, 5268, 9318, 2151, 5603, 8704, 7086, 1090, 8195, 3694, 6628, 8110, 9150, 6626, 1842, 421, 4741, 20, 7844, 7633, 3222, 745, 1451, 4052, 4759, 7254, 8294, 5551, 2263, 6933, 7219, 8152, 8016, 5853, 4121, 1701, 3931, 3977, 4279, 9053, 1789, 2344, 6007, 54, 8176, 2415, 3832, 3986, 3233, 8367, 6038, 3828, 8767, 4797, 5589, 7952, 2447, 1697, 9263, 4362, 4016, 4003, 9078, 4471, 1771, 8194, 1064, 209, 7474, 5222, 8648, 5845, 1416, 9914, 8412, 9831, 6686, 630, 7746, 9335, 6283, 6367, 4995, 1728, 7020, 6923, 2249, 3052, 2968, 4864, 4853, 5236, 1329, 9065, 792, 3236, 3432, 3166, 3416, 6082, 4167, 9668, 2684, 2140, 2357, 395, 7382, 5910, 6725, 3639, 6133, 3995, 6478, 2552, 1491, 3108, 568, 812, 9523, 9210, 6535, 9883, 2077, 781, 3403, 3444, 9474, 8509, 7733, 7806, 6490, 8605, 4485, 8366, 925, 1669, 8178, 3058, 3015, 3640, 9127, 5424, 6677, 4501, 7590, 2111, 1410, 7614, 2540, 6996, 9836, 3771, 3356, 4103, 9671, 7902, 3854, 6200, 3320, 951, 3841, 1599, 4528, 3661, 6672, 2435, 5728, 878, 2421, 1706, 7615, 1849, 1177, 3917, 294, 9187, 4066, 867, 5678, 3299, 8643, 1885, 5389, 910, 5443, 5009, 3960, 2663, 4109, 2954, 8813, 4333, 3297, 6782, 6444, 8117, 8260, 5194, 5545, 8979, 390, 8000, 9607, 3747, 9302, 8056, 9336, 4969, 8590, 6036, 2271, 7453, 6218, 7901, 5494, 2055, 3795, 6621, 3227, 7822, 3542, 3449, 3023, 6160, 2691, 2872, 9050, 3820, 1658, 722, 3705, 8130, 5562, 119, 5766, 9698, 2094, 1942, 3742, 815, 1972, 4955, 5200, 4061, 7604, 1017, 2112, 8616, 4284, 7911, 610, 7520, 1164, 141, 2165, 3831, 8973, 837, 9424, 6460, 7694, 8323, 4648, 6142, 9433, 721, 944, 8049, 6480, 6047, 9091, 6234, 6835, 764, 9178, 2345, 337, 6513, 5211, 470, 9142, 9132, 4484, 1905, 9086, 5884, 5189, 6704, 5544, 7882, 6676, 9664, 7279, 6800, 6600, 9213, 4640, 5373, 5905, 2452, 4923, 1663, 3359, 3743, 4282, 6143, 2685, 6230, 7049, 8215, 8273, 9105, 9847, 6295, 1559, 5899, 2532, 8816, 3422, 2440, 5504, 8535, 3676, 4221, 9320, 1422, 3159, 5065, 4619, 8172, 4424, 3871, 9693, 8802, 2660, 5659, 2331, 855, 8140, 1214, 5491, 6387, 4214, 6658, 5000, 2149, 9874, 3757, 7333, 8695, 1556, 2004, 4444, 9404, 8797, 7606, 4441, 1565, 8141, 8644, 1338, 4505, 1369, 4320, 9403, 7715, 790, 3769, 6423, 5248, 7530, 79, 6238, 4317, 1752, 132, 4695, 6051, 6507, 5936, 5060, 2774, 9700, 461, 8780, 8773, 5665, 7671, 7583, 8891, 9986, 7364, 9593, 9413, 3941, 2861, 1812, 2029, 2471, 4247, 5514, 5208, 6712, 8423, 2959, 4527, 3839, 5001, 3664, 6947, 8183, 1059, 8153, 8606, 29, 3481, 7973, 4407, 827, 2002, 1538, 7904, 4801, 246, 3923, 9669, 7685, 9518, 9706, 6465, 3588, 8371, 7915, 1494, 4218, 2817, 8034, 6983, 7506, 7668, 4880, 8817, 7552, 1647, 5956, 2696, 8896, 9292, 7963, 1120, 3703, 4824, 2998, 1797, 9107, 3604, 6305, 9140, 1903, 8986, 7591, 6196, 3504, 9657, 269, 5284, 3393, 5743, 4401, 9743, 5928, 7418, 317, 96, 306, 3846, 7661, 3976, 2128, 4767, 1551, 323, 3496, 67, 1415, 7285, 7124, 4277, 9379, 1272, 1151, 4806, 5977, 1311, 7450, 2218, 5517, 8313, 1202, 1770, 1696, 9821, 2784, 9713, 211, 8362, 4358, 5798, 8430, 6392, 6017, 3991, 4504, 9973, 9955, 4774, 9359, 2193, 9367, 7019, 3905, 8399, 3762, 7037, 4937, 9753, 7784, 4369, 3959, 6726, 6576, 8017, 1165, 5306, 8330, 1675, 3681, 1020, 2414, 3047, 5515, 9996, 1207, 9270, 7508, 4913, 6169, 7648, 9499, 1993, 8107, 9752, 5683, 1172, 9222, 4626, 9291, 2554, 4873, 8288, 2190, 992, 4756, 7955, 4335, 8969, 1296, 5546, 2123, 5175, 4482, 8933, 8672, 8315, 8058, 6602, 1981, 5725, 1029, 4672, 9979, 1806, 3413, 3599, 8064, 4633, 7653, 2411, 3669, 7859, 247, 5888, 810, 7918, 2750, 3522, 3163, 9256, 8401, 5285, 4588, 6232, 498, 6980, 492, 5831, 7577, 7245, 8342, 9165, 1747, 4323, 7100, 7965, 1111, 1611, 1365, 7127, 7895, 7680, 8385, 5158, 2038, 5217, 4552, 2702, 3726, 5520, 1437, 6239, 5538, 1063, 8213, 4738, 7094, 4370, 5788, 7158, 6436, 6855, 2388, 2610, 9642, 3128, 9476, 7951, 5747, 2960, 5628, 8615, 3808, 1006, 3709, 6770, 7841, 6494, 3057, 7471, 8565, 7347, 9045, 2889, 2321, 7028, 5395, 8988, 1626, 1708, 1899, 6134, 1301, 4097, 1876, 3734, 4639, 6430, 595, 4074, 1341, 3863, 8611, 3171, 10, 9888, 996, 7764, 3494, 8268, 4871, 8269, 5026, 3040, 591, 3121, 8065, 2336, 5834, 9172, 2236, 5134, 6037, 4403, 744, 9019, 7618, 4765, 5904, 8020, 8243, 6845, 6665, 1049, 4863, 7816, 5006, 9563, 5223, 1991, 8413, 3156, 7074, 5229, 8722, 2310, 1725, 7324, 730, 7804, 6781, 8284, 3114, 2973, 8173, 5116, 8483, 2843, 4843, 7217, 118, 994, 4421, 7295, 3790, 3380, 2863, 3618, 527, 4433, 474, 7794, 1765, 256, 3518, 6541, 9329, 438, 9695, 8256, 3679, 6540, 3329, 3887, 9259, 8108, 374, 4089, 3022, 4213, 1940, 4837, 3417, 1266, 8858, 6690, 6788, 2209, 507, 9727, 9118, 7566, 4165, 7040, 8465, 1807, 3834, 8480, 8037, 9189, 4352, 9068, 6468, 5212, 7796, 4795, 7836, 5955, 4344, 5952, 9431, 7430, 6010, 5448, 3966, 8931, 2755, 4366, 6366, 1768, 4328, 3711, 7434, 6883, 7151, 1704, 9185, 7057, 4260, 4502, 6811, 3197, 6044, 5967, 5971, 5417, 173, 9954, 2802, 7084, 900, 8948, 8963, 8067, 7924, 1089, 39, 3728, 3090, 2520, 1125, 8358, 1543, 1692, 205, 759, 1217, 5305, 1627, 943, 5543, 2424, 5466, 2145, 6561, 2831, 8751, 7991, 8500, 6405, 1840, 6547, 6420, 718, 1553, 6484, 7628, 5965, 3420, 6701, 1318, 3071, 5940, 1970, 3334, 9136, 1848, 7776, 1691, 2724, 8047, 1575, 2058, 9792, 194, 9810, 1783, 1373, 4700, 2713, 5400, 7541, 8033, 5712, 255, 3560, 967, 4442, 7149, 1932, 1190, 886, 4237, 110, 243, 5413, 8485, 4, 1867, 1445, 197, 3373, 2200, 3994, 1568, 4855, 144, 3907, 8794, 8627, 9495, 6164, 8312, 5832, 4961, 7441, 1549, 3030, 8466, 9887, 7131, 977, 871, 8187, 4070, 3805, 9133, 7512, 7642, 1276, 3414, 1674, 8957, 9947, 8778, 8581, 6177, 7115, 3866, 6498, 2928, 3003, 2100, 637, 5048, 1513, 4994, 6578, 5946, 2154, 1181, 5658, 9014, 9025, 9486, 4614, 3300, 4573, 4391, 806, 1418, 4508, 6611, 5412, 7438, 9011, 422, 5090, 3267, 5508, 160, 6472, 6737, 7713, 3572, 1700, 4305, 6173, 1408, 5708, 5472, 1682, 4399, 4229, 3745, 5710, 9030, 8748, 5246, 8805, 6532, 1201, 8599, 4716, 9688, 345, 5825, 3564, 5367, 328, 5651, 5624, 6539, 4296, 3555, 989, 436, 6571, 9995, 3945, 4090, 1803, 6434, 3310, 6386, 4400, 8317, 9205, 3680, 6193, 8404, 94, 7287, 412, 6277, 9290, 6006, 5185, 1191, 7678, 3418, 6314, 5613, 9467, 9528, 5021, 393, 9848, 1976, 9608, 3026, 8348, 3663, 213, 635, 549, 3761, 423, 9803, 3010, 7209, 1235, 2086, 3461, 494, 7024, 2827, 6276, 7869, 2659, 5707, 8299, 8924, 3014, 4228, 7431, 892, 6743, 8833, 648, 7070, 7976, 7255, 4156, 5814, 8091, 3185, 7935, 3918, 5575, 2046, 5664, 6786, 4343, 5043, 7201, 7535, 6871, 1722, 1633, 7442, 448, 6483, 3951, 4677, 6954, 7917, 3579, 2017, 299, 3874, 7821, 3531, 5836, 7069, 9542, 9196, 8718, 7897, 331, 7835, 1641, 2712, 7322, 3485, 7718, 4153, 2734, 2095, 6209, 4746, 7436, 7001, 546, 1082, 8579, 6594, 8191, 1147, 9289, 5914, 7256, 8746, 1852, 4207, 4936, 8286, 6810, 2028, 1206, 2848, 5703, 7426, 9957, 2216, 63, 369, 2977, 2198, 8666, 4849, 4096, 1607, 3883, 7702, 9982, 7630, 4798, 9697, 408, 5297, 2679, 3899, 5303, 7504, 726, 2170, 774, 6519, 4313, 9056, 1080, 6952, 7237, 8881, 6884, 7143, 5732, 2661, 8814, 4233, 8548, 920, 4703, 7594, 2805, 8244, 553, 2536, 7361, 2036, 3751, 4198, 130, 3900, 676, 7005, 7130, 8185, 615, 5768, 2068, 9636, 8044, 4519, 5191, 2499, 6563, 2405, 846, 5356, 1273, 556, 4209, 8403, 3997, 4728, 1079, 6697, 7679, 1946, 795, 5982, 8364, 6216, 12, 7584, 5602, 8705, 4428, 5078, 1475, 2048, 478, 5804, 5117, 908, 9032, 6585, 4189, 2337, 8225, 4220, 1547, 5404, 1400, 6279, 3919, 7060, 6237, 705, 4231, 9125, 946, 9920, 3720, 3169, 5298, 7021, 3018, 5711, 98, 3348, 7379, 226, 3167, 9108, 2418, 1126, 6362, 3793, 8728, 3377, 6971, 6799, 8464, 5599, 6660, 8564, 6130, 8021, 1589, 805, 5696, 475, 5360, 7681, 4869, 1021, 6978, 7244, 1465, 8994, 5075, 3672, 4490, 9122, 196, 924, 2732, 5552, 9501, 8010, 8958, 577, 222, 4341, 1821, 5886, 2847, 7257, 4697, 1537, 3034, 4372, 4826, 5141, 3698, 6356, 2822, 2097, 4326, 3138, 1193, 1620, 3404, 7104, 8628, 9177, 2550, 1352, 8899, 6866, 9487, 8663, 5866, 6607, 1307, 719, 4368, 632, 8515, 5675, 7944, 9166, 1430, 5949, 638, 5769, 4895, 237, 5155, 7981, 3806, 7107, 9249, 5625, 9805, 7645, 3909, 4537, 6003, 6966, 7072, 824, 9816, 4631, 8169, 5023, 9071, 7490, 8439, 2538, 2553, 1295, 4064, 4020, 6079, 4790, 2971, 6685, 2047, 560, 7495, 6632, 8205, 3770, 6898, 6914, 8127, 9687, 562, 5353, 3523, 3922, 5692, 333, 5420, 8137, 4030, 3245, 684, 2594, 2451, 8151, 5269, 8035, 5247, 4135, 4891, 3544, 6330, 125, 8395, 7270, 7302, 7427, 9807, 5307, 579, 4272, 375, 571, 4920, 9871, 6111, 6320, 1023, 3450, 1180, 4429, 8807, 73, 1492, 1689, 3285, 7097, 2322, 4952, 5283, 9077, 8233, 2556, 2124, 1264, 5963, 7259, 417, 1374, 6462, 1420, 1702, 539, 8959, 9696, 4238, 3687, 2976, 1361, 9635, 3563, 8310, 6034, 7781, 8454, 1474, 2461, 5565, 1753, 9100, 7569, 5654, 2015, 5028, 6242, 1906, 7152, 7640, 9997, 9903, 9167, 1792, 4288, 6564, 4737, 995, 8443, 419, 5667, 7719, 9072, 9911, 8001, 6761, 488, 9867, 8815, 3327, 4412, 6556, 8585, 7704, 5237, 1509, 8265, 1699, 455, 4904, 2737, 2668, 4928, 3903, 6249, 4702, 4876, 7460, 3401, 1271, 6856, 267, 4476, 6565, 2658, 9731, 3906, 6833, 7990, 5851, 4056, 937, 5795, 35, 2736, 8085, 8642, 5874, 3749, 7492, 7649, 1274, 418, 4147, 1863, 8370, 4376, 754, 4119, 4736, 1844, 2159, 2284, 882, 8504, 9020, 7479, 6840, 433, 7413, 5680, 3869, 5786, 6797, 2888, 3925, 8036, 354, 9296, 5375, 2585, 3139, 3965, 6624, 4687, 2429, 2909, 3096, 6070, 2197, 109, 1782, 1441, 7720, 5881, 2383, 8711, 416, 5243, 8950, 4903, 9400, 1356, 4031, 4924, 2453, 2721, 5266, 5471, 4792, 8369, 3374, 8341, 3271, 563, 4701, 9758, 9199, 8372 ], [ 6950, 7663, 4410, 1226, 512, 6716, 5563, 8226, 3355, 4578, 9543, 4004, 1034, 8879, 3204, 7392, 2396, 6399, 2401, 9829, 9801, 7515, 135, 5302, 9301, 6298, 4654, 151, 9783, 7059, 4832, 1530, 181, 1167, 5123, 3237, 9532, 6015, 3220, 1346, 6705, 2781, 8499, 9663, 484, 7941, 9971, 4116, 389, 808, 8115, 8772, 312, 5115, 8975, 4365, 9047, 5221, 1355, 6364, 1390, 2791, 6614, 959, 6593, 850, 6380, 9174, 2860, 6679, 7456, 4192, 2841, 1406, 5293, 1726, 5310, 4255, 3587, 7195, 161, 6208, 2134, 49, 7912, 4051, 148, 1943, 1815, 6997, 9362, 7926, 3132, 3223, 5003, 9526, 2711, 8901, 4878, 53, 7207, 378, 6886, 8839, 4166, 1743, 1836, 4794, 2207, 5437, 1254, 4398, 956, 2906, 7123, 3605, 3517, 4831, 9498, 8886, 4283, 6577, 2144, 6875, 8636, 5991, 6137, 3930, 4563, 5560, 8947, 7731, 6865, 829, 7700, 5329, 2458, 600, 1634, 7863, 9716, 1896, 296, 6925, 3565, 3453, 3441, 1666, 2772, 5262, 4350, 8742, 2835, 8655, 368, 3536, 9778, 9515, 8539, 6122, 5340, 2150, 8568, 5968, 7573, 1354, 52, 2365, 1843, 1900, 2677, 4240, 4543, 8583, 9870, 3739, 3706, 9123, 8336, 6214, 5568, 8295, 5166, 9644, 1977, 7960, 6657, 5721, 6066, 7250, 2603, 1944, 7271, 8775, 3731, 2840, 265, 2005, 818, 8157, 7654, 4014, 4466, 7046, 530, 8991, 1153, 1176, 7013, 2728, 66, 1979, 431, 8812, 6236, 2007, 8678, 1184, 3089, 3232, 9176, 2465, 1954, 3662, 4830, 1868, 8632, 5401, 7637, 1496, 8095, 5130, 372, 2264, 1013, 5462, 1045, 2148, 6591, 656, 3495, 3452, 7629, 3396, 9265, 575, 9820, 1510, 9373, 5511, 804, 5258, 2707, 1, 1058, 18, 3201, 5177, 6281, 8394, 1773, 4580, 544, 3470, 6929, 860, 3442, 6126, 5706, 2104, 5583, 9531, 6303, 538, 7277, 628, 6902, 5709, 2317, 2338, 6573, 9217, 6073, 4712, 993, 9799, 1578, 5118, 6777, 4971, 1683, 5145, 1018, 3851, 2492, 2689, 2425, 9637, 3406, 966, 6040, 7533, 9087, 6899, 6815, 9689, 3894, 2595, 6735, 8784, 9058, 72, 9191, 5280, 8272, 8206, 849, 1421, 5779, 7280, 4613, 5277, 192, 8524, 4612, 2525, 5239, 3302, 8589, 4244, 7077, 5434, 4287, 4045, 5600, 5830, 9162, 4822, 6560, 3594, 8983, 4382, 5526, 1937, 3394, 9840, 2597, 3099, 5999, 8230, 8420, 9321, 652, 9234, 5399, 1955, 5169, 8908, 3219, 4337, 5103, 4455, 6131, 6555, 5416, 8418, 4251, 8584, 3978, 6627, 4915, 2125, 5595, 2496, 9061, 5295, 7589, 1050, 292, 2693, 5010, 6191, 5408, 8122, 4332, 7862, 3521, 7309, 2965, 7111, 2006, 3000, 1895, 617, 7611, 7268, 4225, 5815, 5698, 505, 5660, 6274, 8688, 2346, 2117, 2778, 5025, 9513, 7405, 4598, 6649, 8667, 5455, 664, 8587, 3105, 71, 2037, 5488, 1939, 897, 1953, 9005, 8433, 4468, 3130, 7121, 7156, 8792, 2238, 4933, 2022, 8332, 4389, 257, 3908, 1485, 253, 9729, 9343, 8189, 8356, 1137, 4219, 3803, 200, 6136, 2920, 7385, 1434, 5181, 9787, 6259, 9017, 466, 7969, 4130, 225, 5197, 2596, 7979, 6878, 6291, 8484, 9701, 3194, 814, 8677, 773, 8640, 1398, 2587, 9148, 273, 8900, 2946, 1653, 3368, 6753, 1160, 6940, 8131, 2410, 5427, 5518, 8502, 8741, 3228, 7022, 9794, 8328, 2633, 8232, 432, 3783, 3255, 6994, 8634, 232, 6062, 6241, 1630, 9463, 371, 4859, 9776, 7466, 1911, 4146, 2571, 3041, 3637, 5509, 5164, 1580, 6350, 9452, 9764, 9827, 8874, 2671, 4021, 8479, 7372, 9703, 4726, 955, 4670, 3878, 9610, 4630, 1230, 2466, 4430, 7744, 5885, 2907, 5433, 6378, 7521, 3938, 6296, 7469, 5915, 6687, 8184, 2564, 7336, 5056, 4025, 7523, 5318, 3658, 2535, 1928, 1631, 7832, 4984, 5996, 175, 9389, 3708, 5245, 2948, 5687, 9880, 6524, 6104, 9231, 8676, 9779, 1809, 3430, 1300, 9371, 5132, 4179, 3243, 8829, 8955, 939, 3659, 447, 8762, 3958, 1455, 5041, 4439, 444, 4691, 4355, 7595, 661, 2217, 8882, 8925, 3094, 7780, 8624, 2498, 7359, 1497, 3415, 619, 4022, 4419, 1424, 9770, 5486, 264, 8410, 6442, 5618, 1851, 3028, 6206, 4747, 2509, 8623, 2246, 1974, 3733, 3759, 2519, 7867, 7297, 2103, 5047, 7041, 2483, 7367, 4586, 8984, 8556, 140, 1456, 1022, 650, 4131, 7093, 1949, 3001, 1343, 6058, 9561, 8558, 9232, 3732, 8190, 9163, 1130, 8860, 1337, 8104, 3062, 9021, 678, 397, 4625, 9576, 9728, 9822, 1739, 5778, 6321, 2780, 9780, 1143, 1818, 4719, 5106, 1858, 8425, 8160, 4011, 6798, 9323, 1383, 2623, 9266, 244, 9370, 1777, 6717, 8758, 904, 2761, 102, 1617, 2441, 9088, 5729, 6808, 7698, 6284, 7972, 9188, 6087, 4280, 5755, 298, 5113, 3787, 340, 3624, 5995, 9464, 3059, 8168, 1040, 9235, 9972, 6033, 7930, 5898, 9115, 1158, 6011, 901, 9390, 947, 4992, 918, 5480, 3611, 6830, 3424, 4807, 5070, 5173, 2470, 3983, 7666, 8120, 9676, 5017, 6904, 4777, 699, 7027, 1246, 5232, 9862, 9859, 4678, 1644, 4075, 2098, 8869, 2237, 1778, 8684, 2003, 6184, 6908, 4680, 5171, 1392, 5002, 8709, 3270, 7626, 4371, 4142, 7091, 9013, 8567, 2989, 8827, 179, 7802, 4931, 3880, 4829, 7015, 2984, 3333, 5398, 1250, 9790, 6293, 4761, 8043, 4059, 1758, 588, 1047, 8099, 8943, 2060, 1847, 240, 5587, 5980, 9742, 4345, 4086, 5777, 3631, 5986, 6569, 7769, 8651, 6248, 7608, 2042, 1429, 695, 4688, 9852, 2502, 6141, 4721, 7416, 6791, 1742, 8685, 9974, 7113, 8532, 1574, 6431, 6050, 2926, 6, 4023, 1938, 3180, 8148, 9853, 360, 2432, 8291, 9538, 5906, 6848, 5124, 5740, 7161, 5529, 3644, 3488, 4714, 714, 7701, 3272, 6562, 1988, 932, 9109, 4434, 528, 5902, 5431, 2950, 4652, 9411, 4745, 9505, 3630, 4868, 2155, 3833, 5493, 2662, 9684, 1671, 6354, 9672, 3730, 4159, 3290, 7735, 2739, 7328, 9247, 9251, 1403, 6441, 5104, 4976, 6548, 9850, 6703, 1377, 123, 2970, 7400, 1417, 4006, 9340, 7833, 9126, 1103, 6213, 1870, 9960, 9646, 7267, 1466, 7293, 7371, 1798, 6882, 8161, 8046, 3410, 3512, 4208, 1065, 3196, 9808, 2953, 6816, 2343, 5648, 3837, 9901, 6448, 2829, 5182, 80, 9206, 3067, 1009, 483, 2244, 7692, 747, 9929, 8937, 8717, 2877, 184, 7908, 6029, 720, 7223, 8437, 1927, 6847, 4966, 1508, 9103, 7509, 9350, 9623, 7958, 8903, 305, 9714, 7343, 3858, 4108, 8716, 2030, 427, 3848, 2611, 7402, 877, 5147, 749, 4181, 9211, 3561, 1593, 9279, 5091, 9926, 7550, 3087, 3135, 23, 2076, 2882, 1546, 6740, 9506, 4627, 3547, 9945, 9479, 6437, 5074, 5873, 7096, 5653, 6467, 1872, 6024, 3101, 153, 4438, 3473, 7877, 1152, 7620, 8042, 2837, 1762, 9113, 8671, 9306, 5843, 1091, 6813, 4555, 2, 3312, 660, 2952, 7574, 7505, 797, 7229, 4912, 4911, 3007, 3005, 517, 7323, 6900, 3142, 4989, 2654, 7871, 2923, 3567, 9461, 8679, 9250, 7261, 1731, 1795, 692, 840, 1229, 1757, 4835, 5316, 7183, 7855, 4226, 2992, 3812, 2799, 1569, 2646, 4900, 8735, 522, 6893, 5073, 7222, 3524, 6487, 7317, 2101, 8932, 4071, 9110, 7527, 6266, 2789, 8946, 772, 9987, 658, 5344, 2139, 7329, 8478, 4331, 5156, 7188, 9272, 9565, 8719, 8966, 6335, 8180, 9877, 6347, 4290, 7454, 7206, 1385, 5345, 4723, 5632, 4967, 4820, 8193, 9980, 7765, 822, 4802, 7129, 6410, 3274, 5202, 8011, 9774, 9882, 3070, 21, 883, 7062, 6235, 1290, 3175, 8167, 680, 8368, 8159, 535, 3830, 2073, 4497, 9884, 769, 4821, 5822, 8145, 4683, 6567, 957, 1298, 6365, 1619, 7470, 7674, 2025, 332, 6094, 8052, 7160, 2512, 1234, 9408, 9129, 5693, 5684, 2910, 7006, 1391, 4917, 4199, 6763, 6953, 5184, 753, 7811, 9908, 4816, 7613, 2327, 3740, 2994, 2445, 673, 7786, 8552, 1054, 8540, 399, 833, 2589, 9525, 3942, 4533, 9815, 2392, 4507, 2764, 1425, 5819, 2213, 5081, 5534, 763, 3614, 4294, 3098, 5679, 605, 5195, 9773, 9928, 1874, 2361, 6004, 7580, 1139, 4875, 1766, 2176, 3479, 5932, 2569, 5052, 6253, 7003, 8682, 7414, 4979, 3755, 7778, 8708, 9098, 5638, 9401, 9795, 948, 4295, 710, 4542, 7964, 2892, 6226, 9458, 8707, 8911, 5765, 4215, 3603, 5477, 4458, 9313, 5094, 1454, 4065, 6197, 9825, 242, 6255, 7180, 4742, 1759, 7415, 9233, 6549, 3862, 2504, 8083, 6534, 1073, 7641, 9551, 2652, 9288, 3234, 2215, 9254, 4663, 8521, 134, 4769, 1605, 9802, 5139, 3936, 2087, 1958, 9085, 4036, 934, 9342, 4262, 1450, 7588, 190, 7876, 3652, 8857, 7818, 2982, 653, 1563, 5571, 3873, 5007, 3750, 7125, 1610, 8818, 5606, 2413, 4032, 6025, 139, 8659, 2890, 5467, 9183, 8113, 6546, 8351, 5405, 9332, 4581, 9694, 3202, 1614, 4354, 9560, 5780, 8944, 2438, 9257, 9067, 3729, 9102, 9418, 3411, 8783, 4559, 8239, 7854, 9314, 4638, 1011, 1154, 9622, 6909, 3210, 7288, 6376, 9878, 1705, 3970, 6022, 1829, 464, 6662, 7316, 3029, 9169, 5857, 1639, 3901, 2423, 8510, 8098, 586, 6956, 7551, 783, 1657, 3814, 9226, 1253, 9572, 2939, 4679, 7690, 5970, 7762, 4183, 1041, 5522, 521, 3117, 9394, 5559, 8828, 6517, 4996, 3632, 1982, 8968, 1284, 5897, 7171, 8155, 7150, 8357, 127, 8768, 5045, 739, 1745, 6067, 6371, 4925, 646, 2680, 8764, 76, 5244, 1655, 1685, 7517, 2120, 1159, 4268, 626, 6654, 3118, 4275, 760, 8970, 2985, 2328, 9916, 2247, 8040, 4182, 3339, 4496, 3801, 2479, 8809, 7934, 2768, 1646, 8393, 1678, 5839, 809, 5772, 3633, 1198, 7018, 3503, 5172, 2815, 7480, 1540, 3307, 7499, 9692, 8945, 8769, 6288, 454, 3158, 6700, 9355, 6773, 472, 7056, 9536, 6803, 1349, 4965, 2506, 4100, 9121, 2819, 7232, 6250, 155, 6860, 7042, 5807, 3957, 6911, 3372, 5531, 2363, 7000, 8603, 7691, 532, 8890, 5362, 5394, 4902, 516, 6642, 1461, 367, 8550, 262, 364, 4857, 7916, 2783, 355, 9369, 7772, 2873, 5107, 4622, 8422, 4660, 5131, 4261, 7554, 6774, 9978, 6139, 4265, 5672, 6873, 45, 9035, 5008, 3993, 8753, 8325, 6393, 8003, 8068, 715, 8440, 6357, 3696, 366, 7582, 9965, 3469, 3259, 8934, 8588, 4239, 2962, 9921, 2887, 9777, 6333, 4079, 9630, 1386, 9151, 338, 2175, 3315, 4000, 3445, 2961, 2795, 3068, 1586, 9547, 3226, 6633, 8665, 2894, 506, 2762, 1221, 482, 8188, 1841, 33, 929, 6155, 1987, 6601, 687, 3308, 1624, 5352, 233, 4426, 9818, 5889, 5121, 941, 7689, 6009, 70, 4926, 1796, 5907, 642, 519, 152, 5939, 6060, 8771, 2027, 8088, 402, 6308, 3434, 6461, 740, 9626, 6805, 9155, 9922, 6927, 536, 8647, 1660, 3609, 7198, 2391, 9339, 5300, 7327, 387, 3872, 4274, 486, 4870, 3172, 1515, 2640, 9833, 2208, 5601, 9781, 9444, 6346, 9041, 7075, 3182, 9104, 7636, 5361, 5879, 5629, 2180, 962, 3489, 3620, 3335, 9366, 6167, 5640, 5951, 554, 3433, 3499, 540, 7052, 4158, 7192, 2179, 7310, 2626, 9241, 1210, 1036, 1727, 622, 6741, 9907, 9841, 8391, 1376, 1501, 3799, 6336, 4650, 1724, 6675, 4523, 6065, 9964, 7315, 3987, 4840, 3137, 6528, 4349, 520, 9615, 4310, 551, 3123, 2886, 3398, 7725, 5751, 285, 5363, 8537, 7893, 453, 9454, 4549, 8517, 8621, 8446, 3692, 9024, 6307, 4743, 2964, 859, 5085, 1324, 5532, 6198, 4246, 1317, 5764, 5837, 5102, 1101, 8897, 8408, 4329, 6525, 9139, 1368, 4351, 6361, 4223, 8361, 2997, 8128, 5320, 3056, 4402, 8390, 8971, 5908, 6582, 2225, 9804, 3764, 9566, 7147, 3100, 3962, 5564, 2334, 6613, 634, 6787, 7750, 4930, 9507, 2875, 1263, 6857, 1431, 2475, 9063, 4778, 476, 1573, 6445, 3054, 6273, 7377, 2523, 6985, 8077, 7462, 6342, 4884, 7900, 9653, 8162, 1741, 5883, 2242, 8951, 7283, 1067, 5227, 4715, 4435, 8914, 6907, 4909, 4968, 4390, 5446, 379, 9915, 3125, 3645, 5487, 725, 826, 4959, 9896, 1826, 4236, 6977, 9892, 9800, 8939, 8165, 8314, 9491, 3319, 5870, 4327, 9868, 6477, 5142, 8028, 923, 2169, 5265, 685, 5593, 5465, 8898, 6879, 2813, 9459, 3641, 872, 5351, 2404, 2567, 7108, 9509, 9634, 5966, 1003, 7164, 9037, 6156, 3035, 7483, 1716, 6068, 2189, 6337, 3971, 4760, 9556, 4204, 1920, 9923, 6667, 1134, 8985, 1514, 6264, 4087, 2590, 9865, 9285, 9069, 1661, 7141, 6394, 9763, 4431, 7954, 8976, 7878, 1800, 8987, 5414, 7846, 7098, 7817, 6464, 9274, 1163, 5607, 7695, 5037, 547, 2267, 8913, 7318, 6877, 4751, 5287, 7988, 3537, 3390, 9386, 9611, 1577, 4427, 3154, 6500, 9159, 2655, 4322, 641, 7621, 1859, 5750, 9530, 9586, 8846, 2543, 8129, 3362, 9273, 8938, 6506, 604, 1488, 8693, 1169, 5702, 1680, 8856, 6096, 559, 4210, 6817, 5794, 1075, 8292, 7752, 167, 404, 8100, 3779, 4060, 9678, 6838, 2916, 2694, 4804, 5950, 6502, 2044, 6076, 5856, 7959, 7529, 4248, 8374, 2598, 6742, 477, 4270, 5792, 987, 9730, 5049, 5685, 3349, 4144, 5235, 3408, 7605, 4436, 2376, 1322, 2474, 1043, 4607, 5040, 9228, 6999, 7632, 6359, 1548, 6211, 162, 221, 9573, 5775, 5840, 8883, 958, 8591, 1401, 4417, 906, 2853, 1168, 5167, 4838, 1960, 6754, 6881, 3224, 6222, 4095, 4175, 8523, 5627, 8431, 3214, 4073, 4012, 8146, 4245, 4929, 2700, 3261, 7429, 1774, 6489, 4137, 9347, 8134, 7646, 9809, 1031, 3482, 2534, 7007, 9387, 3363, 7610, 4927, 6127, 7443, 3545, 2482, 2356, 3668, 1625, 2285, 8962, 3269, 6379, 7948, 4454, 7080, 2439, 3146, 8280, 9512, 1520, 9168, 4457, 1438, 2690, 3351, 116, 32, 8013, 3506, 3554, 1255, 4690, 3309, 6636, 349, 7103, 7612, 5342, 5339, 2531, 1864, 6166, 5286, 9445, 8850, 168, 3752, 3113, 6157, 6075 ], [ 1990, 5958, 252, 1860, 689, 8304, 5739, 2063, 7246, 820, 4470, 3283, 4336, 7348, 7845, 8057, 7839, 2825, 2121, 8405, 3103, 7638, 1558, 5411, 6790, 3766, 5556, 1935, 2738, 2093, 8135, 2214, 6245, 2222, 2674, 3821, 7463, 111, 655, 3737, 4058, 9640, 2201, 2812, 5336, 9885, 9956, 7496, 561, 899, 3702, 6199, 8887, 6109, 5576, 6106, 310, 1218, 7827, 5761, 9627, 1805, 7491, 5989, 8559, 5782, 3836, 1604, 1028, 7058, 3095, 69, 8154, 8989, 3650, 3515, 3921, 6014, 7275, 9416, 4063, 8713, 7945, 3476, 2991, 3190, 398, 9229, 3527, 1623, 363, 7407, 2385, 8788, 8118, 4561, 1528, 1718, 4258, 743, 746, 4151, 7596, 4823, 9918, 7225, 6418, 4050, 4449, 6993, 4395, 4440, 6045, 6280, 5677, 9423, 1114, 5281, 4141, 7383, 2306, 6681, 3704, 159, 499, 8849, 7220, 7978, 6751, 4722, 7224, 3144, 8050, 5027, 17, 3170, 869, 2340, 3221, 8491, 9456, 5050, 5694, 5926, 1945, 6646, 7814, 353, 9570, 8743, 3914, 828, 4132, 6589, 8546, 4907, 5450, 6476, 5596, 9364, 6880, 1890, 6227, 4001, 4186, 7099, 7, 2203, 6322, 1026, 1902, 7346, 9194, 1587, 6767, 4682, 5218, 8493, 3989, 6261, 5635, 8653, 1924, 193, 330, 8486, 5112, 7823, 836, 4177, 9427, 9788, 8461, 8451, 6256, 3713, 9873, 7989, 3288, 6132, 2866, 5817, 8475, 3173, 4486, 7531, 9106, 706, 5864, 8105, 1293, 216, 1635, 4107, 6509, 1517, 3092, 1056, 8097, 1370, 5377, 177, 1925, 6854, 2454, 8321, 7012, 3670, 6217, 3296, 7699, 9797, 6360, 7447, 7218, 1879, 1712, 4257, 9223, 4812, 2262, 2620, 8595, 6149, 7341, 7562, 9651, 4579, 1839, 5974, 6709, 3195, 5854, 1016, 8609, 9008, 7766, 5978, 1170, 3474, 6870, 7810, 1102, 8625, 9889, 8633, 830, 6221, 6970, 2539, 154, 5933, 534, 4374, 4127, 6972, 4194, 8306, 6960, 8192, 6673, 8199, 4499, 9038, 8488, 5704, 9308, 16, 7860, 1248, 7683, 9975, 7730, 793, 8248, 6194, 4038, 2513, 7705, 9482, 9453, 4170, 6536, 513, 4015, 2142, 4411, 2143, 567, 1545, 6961, 1476, 7449, 5626, 9015, 1709, 1032, 5829, 5771, 2437, 36, 4546, 8577, 1108, 9600, 3208, 4445, 43, 307, 2106, 7728, 2481, 7399, 6390, 8586, 4479, 8674, 8614, 5567, 3684, 8843, 9534, 8360, 1887, 7362, 8417, 7513, 9090, 274, 231, 7890, 6765, 2833, 6426, 497, 2793, 2035, 8197, 1099, 3546, 6934, 6028, 9208, 5861, 6165, 701, 8777, 15, 4753, 4644, 4599, 8308, 3345, 5835, 703, 203, 2228, 1119, 7119, 2697, 278, 5714, 2131, 7783, 9309, 2605, 9337, 8787, 4600, 1435, 9425, 8103, 6180, 6935, 5441, 5376, 5201, 7842, 4033, 334, 7983, 3012, 1187, 5069, 8518, 8285, 7603, 5647, 7029, 2360, 7687, 1310, 3948, 4102, 1897, 5149, 1673, 6702, 2947, 2716, 4325, 8223, 1136, 7828, 9202, 1721, 9737, 8819, 3294, 3487, 377, 3817, 4707, 3083, 4659, 6766, 1426, 7196, 2963, 51, 8024, 1600, 3024, 9909, 2878, 9931, 1583, 2065, 7030, 3265, 8830, 8527, 7787, 3152, 2251, 6864, 4162, 1281, 3910, 8543, 1203, 6531, 1738, 7169, 5064, 4171, 2021, 4646, 9839, 3162, 1288, 4529, 7675, 1917, 5566, 3198, 3736, 5442, 3332, 5291, 6824, 949, 3133, 7061, 8217, 2607, 1436, 313, 4775, 491, 8834, 7191, 1359, 4938, 3535, 1654, 838, 2315, 7233, 3825, 7831, 9524, 101, 6316, 1239, 4024, 434, 2485, 6723, 1371, 6592, 7995, 765, 8474, 5893, 224, 3593, 3480, 7157, 3683, 2921, 3559, 891, 9, 248, 2811, 7773, 9649, 733, 972, 6090, 5748, 9478, 138, 2949, 7507, 4668, 2546, 1746, 2442, 1756, 8549, 9220, 4009, 6984, 8622, 3956, 3557, 649, 346, 4919, 6168, 9260, 6176, 8453, 5554, 3472, 7247, 4860, 9435, 3284, 6915, 9096, 1007, 741, 6987, 9904, 7185, 6018, 5380, 6674, 7526, 4267, 7230, 4592, 8949, 8880, 5742, 9984, 6885, 8492, 7914, 7936, 5059, 469, 1334, 8760, 4415, 1397, 6056, 724, 5749, 1100, 4460, 1668, 4078, 1117, 4946, 702, 3892, 4263, 9338, 7993, 3719, 2202, 7880, 5695, 6496, 1068, 6652, 1449, 6306, 8434, 8175, 8270, 639, 657, 545, 75, 8781, 8861, 9312, 8825, 8824, 5120, 5553, 3017, 2542, 4811, 2803, 329, 7534, 7186, 2599, 3006, 6736, 8156, 6101, 5499, 4556, 693, 8757, 7231, 5676, 4585, 6669, 7500, 1002, 9010, 662, 1963, 2132, 865, 3982, 9028, 7002, 3954, 8576, 5903, 2239, 8242, 5183, 4618, 1638, 8952, 3246, 1294, 4314, 2303, 3955, 4191, 501, 149, 576, 3642, 3850, 5920, 288, 8468, 2431, 1933, 3247, 9294, 543, 4512, 1856, 9441, 8730, 9591, 3215, 5924, 8327, 6368, 8635, 4500, 5841, 9985, 146, 688, 2638, 2339, 5341, 1072, 1468, 5101, 5260, 6402, 5129, 7117, 609, 2856, 6828, 2478, 9895, 5228, 6048, 1992, 3677, 2786, 7770, 9269, 3286, 3939, 1097, 1865, 8831, 4018, 5736, 708, 2278, 1001, 3760, 9054, 254, 2389, 4731, 9286, 9333, 6793, 5093, 9898, 7337, 6897, 3526, 3483, 1275, 9625, 7390, 286, 9455, 7266, 6822, 104, 2568, 9382, 3686, 7176, 3045, 3823, 5331, 6605, 9583, 6054, 8620, 7929, 2832, 158, 3141, 7922, 2580, 3379, 4740, 5154, 3311, 5812, 3149, 6455, 2869, 2409, 1524, 7684, 2593, 4235, 7314, 3725, 5785, 4406, 414, 8238, 4480, 1194, 4943, 5789, 5717, 9793, 6807, 8660, 3840, 4696, 4356, 6031, 9161, 1910, 8654, 6752, 7886, 1166, 8823, 1470, 788, 8150, 9718, 4516, 4386, 4892, 2574, 6265, 4029, 3174, 6396, 529, 451, 4676, 178, 2794, 8297, 1382, 1233, 1493, 325, 2625, 4364, 3838, 5366, 751, 4367, 1512, 5929, 7177, 5324, 8424, 5371, 8954, 3818, 8429, 9466, 5452, 4899, 2852, 1956, 8698, 9709, 7564, 128, 5084, 8396, 3827, 5806, 4264, 9055, 2818, 3718, 9902, 457, 5088, 913, 8305, 1667, 291, 5774, 7672, 8266, 3080, 3176, 3328, 6061, 3066, 4667, 800, 6093, 6388, 5934, 4557, 7299, 9397, 8725, 1242, 9237, 2316, 4842, 8490, 2108, 9244, 6861, 7921, 9574, 2258, 6088, 4906, 847, 6620, 8904, 124, 9639, 9517, 1340, 1883, 973, 9605, 8378, 7723, 4862, 2501, 4550, 2434, 8511, 1350, 8508, 2706, 731, 6438, 5686, 7791, 6973, 3671, 7478, 8513, 5080, 1959, 5850, 5282, 9089, 1564, 5136, 6504, 2884, 3358, 565, 7677, 445, 5054, 5270, 9602, 1732, 9465, 782, 8608, 5263, 8664, 7792, 7200, 613, 3465, 3248, 3395, 8166, 4489, 2798, 4173, 6783, 2850, 3338, 9861, 2266, 2915, 1525, 1755, 9331, 9937, 6008, 8571, 4544, 7353, 3746, 9683, 9654, 9952, 1443, 592, 6363, 6021, 8435, 1332, 998, 8063, 4698, 1632, 5105, 6545, 5481, 6976, 621, 1483, 3289, 8320, 1297, 4281, 2576, 8935, 5997, 5981, 3097, 3985, 1919, 2043, 1929, 6895, 7278, 8346, 4227, 3781, 4624, 7652, 2729, 6425, 6553, 6748, 8258, 1523, 6804, 46, 5507, 5497, 1536, 2745, 7205, 5264, 8221, 3200, 997, 8347, 1216, 682, 8196, 3860, 380, 4770, 410, 4164, 5046, 9717, 7830, 1362, 3717, 8926, 7420, 6491, 1764, 7076, 5547, 928, 9341, 6842, 8531, 3791, 4514, 163, 3353, 2173, 4363, 2257, 5969, 9281, 56, 6454, 6867, 7138, 9480, 1333, 6789, 8469, 3507, 8400, 7593, 1285, 9267, 9277, 2648, 120, 1269, 3042, 2398, 4359, 9012, 7294, 1339, 9349, 1259, 9599, 6495, 5652, 1934, 2722, 514, 1832, 3964, 6937, 5382, 4062, 2904, 1473, 5998, 3322, 4540, 9330, 9488, 9558, 9200, 5962, 3306, 7043, 1980, 6921, 9674, 1500, 2008, 3754, 3741, 651, 8387, 1302, 537, 6918, 3193, 3822, 2726, 5623, 8471, 409, 5215, 1915, 7174, 4117, 3124, 2384, 1325, 5713, 3279, 5386, 4671, 6485, 6711, 5872, 4957, 7920, 6358, 7656, 7212, 5387, 9502, 4483, 4249, 3298, 234, 7742, 3388, 6965, 9378, 589, 4472, 1265, 9137, 468, 6715, 668, 983, 2897, 4118, 1093, 479, 5203, 2232, 7975, 6463, 8885, 4053, 4877, 5029, 3625, 4720, 9894, 7451, 5346, 5720, 8675, 4041, 3796, 9083, 8996, 8054, 281, 6471, 9300, 1769, 6252, 7475, 5796, 1713, 5527, 6931, 8002, 7241, 738, 2606, 1923, 9522, 5604, 9732, 3498, 245, 8447, 8893, 5537, 5909, 1074, 4718, 7035, 9046, 3314, 5901, 6718, 4621, 4139, 7549, 1328, 8747, 11, 7840, 3262, 5334, 8940, 6185, 3688, 6862, 452, 3179, 1196, 384, 3916, 2373, 9564, 8293, 2529, 3051, 727, 2061, 5948, 4152, 8639, 5586, 7673, 6240, 5214, 6012, 4954, 2059, 311, 7775, 1399, 4962, 6120, 2864, 2704, 2824, 4987, 5485, 825, 6920, 6775, 9385, 5460, 7387, 9358, 9120, 2469, 4381, 3660, 755, 4342, 7262, 4834, 4522, 9844, 9597, 2614, 6570, 3382, 6084, 4655, 7134, 7408, 9511, 6151, 1596, 832, 8650, 6352, 289, 8261, 9944, 7165, 5383, 3008, 6187, 3809, 3240, 717, 786, 2157, 902, 481, 9248, 2325, 4384, 890, 7063, 3038, 807, 4773, 2302, 6159, 614, 5947, 6327, 9823, 1052, 9124, 2857, 7411, 8514, 1921, 3847, 1353, 8617, 8766, 382, 3568, 3558, 1459, 6520, 3367, 4388, 8427, 107, 5919, 1095, 6829, 858, 1640, 7339, 9057, 8519, 3974, 9360, 3316, 6903, 7393, 7686, 3802, 2382, 2160, 1286, 3439, 6572, 321, 4836, 339, 4981, 8727, 2720, 6841, 9761, 3409, 9268, 4467, 6398, 7481, 2547, 3064, 1656, 7073, 8219, 4956, 7559, 5510, 2420, 844, 5992, 8452, 3859, 2163, 1256, 4711, 4693, 6287, 7301, 3241, 1788, 4027, 4596, 5242, 7055, 3257, 7712, 5470, 2136, 7992, 1679, 6998, 4881, 9381, 3888, 8656, 2354, 4887, 8254, 8207, 3235, 8694, 9447, 6832, 2676, 4861, 3369, 7068, 5985, 5826, 7782, 8582, 541, 7155, 7779, 6331, 6046, 6820, 5110, 2408, 8878, 1772, 1729, 1027, 6207, 4766, 2630, 4311, 936, 6294, 8142, 9938, 1098, 3085, 342, 3768, 6640, 3436, 3053, 6353, 6995, 9477, 6776, 4591, 9007, 1567, 7643, 1554, 942, 8171, 9043, 1785, 7340, 3885, 8821, 2577, 4645, 7659, 7896, 2133, 7242, 7696, 4291, 1096, 3944, 1690, 2792, 5036, 6315, 6913, 5657, 2378, 1447, 9679, 723, 1258, 9258, 5482, 6053, 9582, 1315, 1327, 6195, 5605, 4982, 2129, 6301, 4254, 2426, 1104, 1060, 3864, 1280, 5402, 1557, 7482, 3079, 2714, 7616, 9968, 9617, 8836, 5592, 9988, 952, 7227, 9412, 2643, 2609, 5528, 2917, 3675, 3177, 9577, 7193, 3943, 6078, 3160, 8112, 4744, 6117, 1262, 7497, 6727, 5066, 3655, 2999, 5015, 8837, 9368, 4035, 485, 5157, 9832, 3589, 644, 6049, 2304, 8296, 8015, 4180, 8612, 2371, 5895, 2505, 6721, 679, 5911, 2210, 2137, 6417, 564, 4385, 4034, 4292, 2731, 1648, 320, 979, 2282, 3497, 603, 8554, 7986, 2747, 768, 2601, 1735, 2667, 817, 2618, 6113, 1786, 2776, 712, 7644, 6979, 1268, 7398, 8235, 4278, 169, 623, 301, 4725, 2372, 1197, 9144, 1576, 8070, 5500, 6254, 2366, 3093, 7980, 3626, 8377, 6729, 4841, 2613, 6105, 7853, 4649, 473, 7085, 2494, 426, 4629, 921, 2708, 1405, 4161, 1335, 4572, 8953, 6407, 9786, 4762, 5609, 558, 4205, 8383, 2669, 7799, 2698, 1516, 570, 4754, 7388, 4188, 9375, 85, 1482, 7709, 4092, 616, 6756, 8862, 8066, 7452, 5126, 9856, 6523, 8750, 1077, 843, 1320, 2224, 8906, 5964, 1790, 1613, 8868, 7873, 460, 7660, 6930, 5501, 3381, 2681, 3425, 8706, 5505, 3520, 303, 8290, 6945, 8960, 9052, 2838, 4733, 3635, 842, 5220, 3249, 839, 4706, 8870, 6443, 2253, 6988, 3508, 8182, 4609, 3120, 9739, 9305, 4373, 3602, 7664, 1780, 9438, 6554, 1877, 1012, 2608, 2119, 931, 3063, 9519, 8495, 950, 1241, 8353, 6794, 1715, 8487, 3287, 9494, 6310, 4692, 7197, 9741, 3084, 6163, 1257, 3934, 8553, 7146, 2849, 8670, 1854, 7448, 8126, 4491, 6440, 1157, 4583, 7216, 3344, 9246, 761, 986, 2935, 1562, 6114, 8012, 6514, 3366, 495, 3715, 9027, 873, 1200, 7710, 7286, 2634, 3046, 2307, 1857, 4026, 7857, 5572, 4039, 926, 7843, 6516, 2069, 1044, 4669, 4889, 6874, 8096, 6558, 9621, 6446, 4276, 1612, 4993, 8198, 5630, 8761, 4713, 3293, 8534, 3486, 8345, 2979, 2402, 9553, 8060, 9128, 1999, 8032, 3969, 7760, 5620, 7226, 3081, 9735, 504, 2695, 9190, 1220, 7560, 6663, 2227, 147, 4597, 9073, 6844, 9396, 5935, 6212, 2457, 2187, 6080, 2642, 2254, 5288, 2294, 202, 2110, 3541, 1763, 8516, 2752, 6948, 8039, 6826, 500, 6750, 2248, 4150, 6115, 7565, 9503, 3608, 4080, 8445, 1440, 7036, 4685, 5484, 9843, 2582, 8253, 2573, 9750, 3266, 1941, 6623, 9346, 8649, 6224, 6834, 4724, 8289, 7798, 5020, 9769, 9645, 8522, 4423, 2969, 7601, 4948, 1628, 2743, 5447, 6292, 6013, 863, 9942, 9099, 6290, 4259, 2899, 6518, 1506, 9992, 7313, 1277, 4788, 9325, 3707, 9539, 8204, 7106, 5922, 9614, 874, 3019, 5180, 7472, 5418, 675, 4184, 7326, 8045, 9994, 8916, 7542, 4898, 8245, 5641, 9002, 6617, 4603, 631, 7607, 1129, 3251, 2446, 1707, 9670, 5734, 1590, 6116, 5051, 2350, 9747, 1037, 4532, 1261, 2353, 4266, 5176, 2905, 2281, 3996, 1830, 6119, 7987, 1357, 88, 3111, 8978, 6508, 5325, 327, 3305, 185, 2809, 2476, 1825, 3570, 131, 4492, 9546, 7187, 8132, 7548, 3549, 9554, 2387, 6349, 4487, 4604, 1816, 7349, 8008, 6019, 9864, 7889, 8147, 7366, 1813, 5573, 4303, 3115, 6924, 8853, 5422, 2298, 8436, 9003, 2839, 2221, 4115, 666, 3384, 4879, 5598, 6825, 5483, 3775, 7754, 6311, 1744, 5061, 1042, 6089, 5178, 3543, 8902, 3988, 7751, 2243, 3926, 2386, 2862, 3532, 275, 86, 853, 1471, 2135, 4392, 8995, 4818, 5463, 9417, 3492, 5892, 5192, 1714, 186, 6244, 5639, 7458, 4980, 5616, 5738, 6647, 911, 4348, 2147, 9485, 5198, 7338, 5649, 188, 1869, 7424, 5030, 8790, 4623, 7446, 7432, 8526 ], [ 9074, 6203, 9958, 6121, 2320, 8852, 2462, 4451, 4217, 4515, 6300, 2688, 189, 4570, 2296, 8686, 6479, 9849, 7634, 5865, 4560, 4072, 9240, 4657, 2975, 7501, 5095, 8912, 6631, 4049, 2181, 62, 467, 6568, 5735, 8249, 3819, 9195, 5523, 1110, 1081, 6738, 6452, 357, 2555, 7251, 0, 9284, 6182, 1893, 9934, 5869, 8744, 9966, 9221, 4098, 8808, 3278, 1188, 9950, 8875, 4133, 4088, 4375, 5984, 5421, 7807, 8992, 9588, 6125, 7376, 8506, 2026, 7627, 4799, 3002, 383, 8498, 7514, 1185, 2604, 8231, 2830, 9448, 2880, 3548, 8689, 9049, 9255, 3321, 2295, 2024, 6670, 5278, 5570, 8942, 970, 4934, 3191, 4566, 1084, 3569, 6772, 3291, 1127, 2678, 5700, 1533, 7518, 5332, 8980, 5833, 2788, 2444, 95, 5643, 3252, 3447, 716, 3967, 1597, 2800, 4852, 1571, 3392, 2592, 2312, 3753, 6247, 8023, 5656, 449, 1873, 8745, 7008, 2957, 7090, 5533, 2656, 5979, 8803, 6408, 2981, 8847, 8007, 2000, 5396, 4353, 425, 6228, 6912, 5445, 1598, 787, 1223, 5162, 219, 2902, 9470, 1891, 6641, 2725, 3950, 3551, 3646, 2756, 3073, 2166, 3724, 4321, 3268, 8071, 1005, 8733, 9858, 9275, 9354, 9548, 2459, 5990, 8662, 7977, 4067, 1594, 6939, 6097, 7034, 2032, 2220, 3238, 3116, 5039, 7647, 4378, 4112, 9201, 2333, 5089, 4562, 1824, 6796, 7999, 9660, 1894, 3207, 3438, 9442, 8287, 4689, 3110, 9661, 6837, 6412, 7532, 9897, 3902, 6958, 5458, 6085, 6719, 9762, 4125, 6653, 2938, 9578, 1115, 2099, 841, 3419, 8406, 9936, 9156, 2510, 1427, 3933, 8074, 2184, 8282, 1572, 117, 8967, 6289, 9224, 97, 3586, 5067, 7303, 7933, 1131, 2348, 6112, 7360, 8602, 5161, 83, 3980, 7087, 7493, 145, 2268, 326, 3891, 471, 4854, 9334, 9869, 7396, 9746, 8613, 3389, 7813, 9991, 7543, 6326, 8806, 895, 2617, 1124, 8652, 465, 7693, 8355, 8563, 1477, 2572, 8338, 3477, 3576, 6982, 4850, 1393, 2250, 3665, 1837, 647, 8658, 8720, 2364, 975, 7048, 9352, 7010, 314, 9317, 319, 3606, 3206, 9912, 3530, 4772, 5011, 7092, 8789, 8, 4315, 2779, 4185, 1804, 324, 7868, 835, 3968, 8303, 5127, 463, 8214, 598, 6764, 3205, 2275, 3466, 6630, 4007, 8220, 2260, 4867, 5016, 7459, 1336, 4383, 9130, 391, 8786, 7105, 8481, 7721, 6435, 1665, 4901, 888, 1071, 4404, 392, 7736, 9771, 9633, 1793, 2394, 6181, 1926, 4197, 2879, 2314, 4947, 3336, 456, 8212, 6124, 4172, 1686, 8202, 2527, 5135, 3076, 2480, 2701, 3112, 4456, 4978, 165, 2085, 5453, 5255, 2230, 3782, 671, 935, 2417, 5096, 6586, 8489, 4443, 6215, 1367, 916, 385, 8909, 7848, 2279, 218, 5451, 6892, 4413, 6616, 172, 8826, 5942, 8871, 7011, 1478, 9101, 3074, 9592, 7386, 7815, 6223, 8457, 548, 2468, 2944, 7724, 3952, 9760, 4785, 6110, 6818, 7516, 8700, 8737, 3440, 7265, 2235, 4656, 8867, 3127, 7749, 1810, 7173, 8876, 4771, 9933, 1109, 5783, 9080, 5146, 2083, 74, 8224, 2031, 7088, 2828, 7974, 5005, 1642, 8494, 9171, 6714, 6584, 9245, 183, 4252, 3716, 1740, 6801, 5759, 7820, 2255, 6944, 2359, 7363, 884, 2549, 2763, 3643, 1608, 9759, 978, 2891, 446, 919, 5186, 3699, 3886, 2162, 217, 8681, 5753, 6102, 105, 6894, 5844, 2854, 9173, 8467, 1650, 6863, 6603, 1776, 7801, 8930, 6092, 6162, 2395, 8455, 3459, 3039, 4069, 8163, 640, 5230, 7870, 6278, 9612, 8133, 4628, 964, 961, 7381, 8473, 5137, 5461, 4874, 1453, 1681, 459, 4545, 1951, 7243, 6521, 1149, 9034, 5328, 5038, 1968, 8444, 1649, 8661, 2790, 3082, 8240, 9631, 590, 5821, 6145, 5468, 4145, 4114, 4511, 182, 3256, 9374, 7544, 8920, 5744, 8917, 7214, 8476, 8365, 4763, 5128, 6406, 9754, 758, 3429, 4541, 6138, 290, 524, 9673, 4665, 9059, 9475, 3855, 9146, 5594, 5610, 3810, 3253, 5388, 5323, 4347, 3598, 7064, 2291, 8562, 5055, 3940, 6030, 2932, 7210, 2473, 34, 2427, 308, 4758, 9469, 3276, 4136, 1535, 2422, 6639, 9345, 7014, 9293, 8080, 8972, 1931, 922, 4908, 2122, 8598, 6785, 309, 9420, 5993, 5524, 3371, 3904, 1186, 8340, 7071, 362, 6158, 6488, 5311, 1148, 1560, 9295, 8086, 665, 137, 9414, 4017, 3325, 4553, 8594, 8798, 7211, 3868, 6951, 2152, 7757, 7345, 8715, 4013, 5347, 1950, 7519, 2158, 1414, 9953, 5267, 8990, 5426, 7942, 593, 5438, 732, 8076, 4574, 6732, 7578, 7885, 3484, 1407, 3961, 5205, 5231, 8575, 9961, 9990, 2972, 9356, 8463, 6118, 9031, 7202, 8841, 5053, 7856, 8041, 351, 8472, 4498, 7133, 4611, 6739, 284, 8449, 7238, 2526, 8114, 8264, 5301, 9298, 3913, 2751, 1245, 6064, 6595, 2557, 9457, 4764, 5579, 1278, 2233, 8855, 5063, 3591, 302, 9993, 2632, 3036, 4138, 1996, 5062, 7502, 7872, 618, 7510, 2918, 8409, 4686, 2936, 1698, 5724, 976, 3072, 4093, 1299, 3975, 8673, 1845, 3065, 5976, 4940, 9000, 6896, 6511, 204, 5719, 9863, 4808, 3264, 813, 6967, 5975, 1128, 2300, 6906, 2516, 114, 7189, 7658, 2650, 4206, 6851, 5918, 3011, 4888, 7194, 7957, 8281, 1645, 1827, 1240, 1085, 3239, 7547, 3525, 7539, 9504, 1411, 4414, 2034, 3165, 450, 5645, 2757, 3435, 6941, 3217, 2503, 8801, 845, 9422, 9932, 3330, 7797, 8593, 283, 9182, 4708, 2016, 5233, 3313, 3585, 3044, 3843, 816, 6802, 6590, 5697, 6339, 6625, 1319, 5276, 7350, 3695, 3550, 4157, 4803, 5716, 4432, 1116, 2986, 5196, 968, 4986, 230, 4865, 5439, 2204, 3043, 2537, 2807, 7120, 5646, 7553, 1504, 1961, 348, 2377, 9238, 3354, 1487, 6179, 2075, 8626, 2533, 7898, 9328, 3829, 8723, 3021, 1643, 440, 6338, 8734, 9712, 8324, 4661, 6689, 555, 6231, 9587, 5251, 8873, 8081, 8542, 1936, 988, 6888, 6831, 7051, 3767, 9410, 1375, 7537, 5733, 1182, 344, 6755, 1409, 831, 6381, 2116, 8574, 6814, 5013, 2814, 7932, 5584, 9484, 3357, 6722, 7425, 420, 1179, 1313, 6400, 854, 1145, 7319, 2767, 3636, 5079, 3075, 5502, 7494, 5309, 659, 1584, 8181, 8014, 4113, 6917, 4748, 7910, 9899, 24, 5459, 9207, 7435, 4922, 8512, 7851, 3229, 2600, 9391, 4833, 8029, 4054, 3385, 5954, 2240, 38, 6000, 5199, 7803, 8505, 4379, 3896, 6374, 7236, 8209, 7741, 9738, 13, 2252, 5682, 974, 737, 4450, 1342, 2090, 9967, 1664, 7307, 4461, 8701, 4037, 8089, 8895, 8335, 879, 2081, 2657, 1402, 5516, 6963, 4200, 8462, 8859, 8657, 7761, 1123, 9537, 9812, 5799, 3638, 493, 239, 927, 6433, 7204, 1748, 5289, 9875, 5378, 7126, 7352, 3857, 3876, 5838, 9051, 9134, 1433, 2370, 9643, 5972, 9276, 7556, 9948, 6285, 84, 8211, 2521, 3187, 8038, 1251, 8123, 9209, 4300, 4211, 7136, 784, 526, 8637, 8301, 5855, 3109, 3399, 7017, 2234, 6635, 1178, 7800, 557, 5668, 6171, 1423, 7576, 9483, 496, 6369, 8851, 4008, 6538, 5718, 4536, 9324, 2675, 7132, 2868, 7468, 3928, 4779, 1141, 7928, 6550, 2770, 771, 2782, 5338, 8646, 2054, 6693, 3501, 7946, 5669, 9568, 1394, 4893, 8496, 2286, 3055, 3104, 5250, 370, 2358, 5274, 3049, 2381, 7600, 8907, 5296, 752, 9775, 5187, 5705, 2330, 2309, 3897, 9846, 4416, 4647, 4340, 9496, 5259, 4615, 7116, 8441, 2528, 2846, 4632, 7083, 5018, 9748, 1244, 1539, 5513, 8354, 5858, 8998, 7866, 2765, 5083, 2488, 3763, 442, 3463, 3953, 4914, 2773, 4844, 3107, 9834, 4160, 4002, 4094, 2958, 6780, 8569, 5542, 6659, 3505, 9655, 2995, 6557, 5206, 6962, 2020, 1486, 5878, 6074, 8053, 4941, 2362, 4637, 7321, 2914, 4558, 7703, 8820, 7943, 6779, 1801, 3584, 6313, 6286, 7631, 5034, 6587, 6459, 694, 6955, 4488, 1751, 57, 6609, 4285, 3592, 7927, 4568, 3317, 8428, 5961, 2057, 674, 250, 7102, 8697, 9372, 7067, 9813, 1308, 2514, 627, 7190, 7342, 6422, 5690, 6724, 9282, 3882, 4459, 1039, 5574, 597, 9555, 3186, 3427, 5818, 7558, 4813, 864, 1360, 3303, 2624, 508, 5058, 7292, 862, 4564, 7109, 8692, 6189, 2753, 6619, 7949, 1363, 8005, 611, 5988, 5752, 821, 2717, 3727, 9784, 7808, 3773, 9837, 4781, 8749, 8765, 6989, 2288, 8344, 4939, 7953, 4524, 6243, 3590, 6809, 6302, 6447, 7403, 2876, 4448, 4338, 4040, 9782, 3748, 4028, 6267, 2399, 3131, 1086, 6069, 5944, 4620, 2622, 2645, 8459, 6081, 59, 5111, 9824, 2183, 587, 5071, 1995, 9596, 7913, 7312, 1532, 5304, 2955, 8426, 2080, 601, 6409, 1889, 3153, 3772, 3811, 2945, 3612, 5014, 9765, 2182, 5862, 1303, 8470, 2033, 8530, 8119, 2637, 8186, 40, 9616, 3280, 510, 7887, 8929, 3455, 3835, 4858, 9545, 5813, 3673, 1309, 670, 9135, 881, 6041, 9036, 8726, 9450, 6858, 2548, 4569, 4312, 3069, 4584, 26, 7998, 187, 5577, 3884, 3865, 3428, 8699, 4123, 9042, 4334, 1581, 5555, 7358, 1249, 9618, 4789, 3212, 6413, 3824, 6348, 2195, 1694, 1997, 5271, 8087, 1113, 4503, 5226, 3998, 220, 4293, 4547, 1871, 667, 2172, 643, 5746, 2924, 7467, 7812, 8921, 3337, 3617, 6655, 3842, 5391, 8237, 90, 9179, 6747, 9677, 68, 709, 8645, 811, 2323, 7622, 7282, 1046, 594, 2893, 3140, 9009, 4510, 4784, 2071, 9723, 6910, 7892, 1205, 365, 542, 4048, 1651, 2430, 8770, 8974, 9826, 6932, 7488, 2929, 3050, 1662, 1888, 5681, 4394, 5457, 9533, 5674, 5781, 2375, 1601, 3273, 1588, 8557, 191, 5077, 5539, 1069, 3540, 6604, 5425, 8333, 1364, 4469, 7498, 7163, 1799, 7137, 2403, 2760, 6057, 2664, 880, 3157, 8250, 9983, 5379, 5308, 9680, 4304, 2053, 8363, 5925, 8259, 2070, 2335, 5456, 3915, 6190, 8079, 8910, 3562, 7655, 9471, 8158, 3800, 287, 126, 5953, 6161, 599, 8533, 8497, 8572, 3629, 9886, 268, 5763, 1142, 47, 3815, 6749, 6205, 5801, 1884, 9806, 6648, 700, 7756, 7805, 170, 7864, 2412, 4793, 1550, 8884, 4905, 3797, 4921, 909, 3119, 1749, 4819, 907, 3575, 9667, 1711, 9557, 430, 2584, 9092, 3, 2687, 9429, 4757, 823, 9919, 82, 9666, 6323, 4298, 9395, 407, 5621, 5756, 8997, 3552, 4866, 4593, 8785, 6733, 9900, 9589, 2715, 5042, 3143, 5240, 6812, 2138, 7650, 5847, 7947, 8143, 7745, 5791, 9648, 5701, 5319, 2988, 1527, 1720, 1971, 5392, 796, 415, 1499, 4122, 343, 8641, 9278, 4361, 5213, 6397, 5012, 645, 2682, 2256, 1781, 1442, 9860, 6225, 6606, 8069, 9493, 8019, 5644, 9443, 8844, 7850, 7825, 3456, 2933, 1132, 6566, 1199, 5793, 4203, 6846, 4608, 6943, 5430, 5495, 2167, 9791, 6375, 6580, 1833, 9327, 9215, 4120, 1750, 7118, 1994, 1719, 8331, 9351, 6839, 5597, 2703, 6128, 19, 115, 2012, 1448, 8982, 2579, 2870, 3622, 5429, 9175, 3792, 6450, 1862, 8799, 3932, 834, 1684, 8507, 4195, 1490, 677, 1898, 9559, 9925, 2305, 4782, 2115, 9326, 3528, 6027, 9755, 2297, 2744, 2874, 2922, 6942, 7849, 3037, 3350, 7311, 4324, 4991, 9721, 4201, 9796, 295, 3464, 3301, 2900, 8536, 3225, 2374, 223, 7203, 5987, 5374, 6108, 7485, 3106, 3935, 6990, 4043, 9180, 458, 5673, 4983, 945, 4478, 3004, 341, 7909, 2560, 6919, 9562, 4605, 1819, 6758, 2185, 3400, 8318, 8277, 9733, 1952, 4091, 1629, 2844, 3189, 9620, 3946, 280, 9236, 3342, 4675, 7439, 4985, 9446, 3386, 9710, 64, 6473, 2974, 3597, 4128, 1146, 2146, 8578, 6262, 2287, 7962, 1761, 5035, 4554, 572, 1381, 933, 2105, 5498, 143, 7373, 7249, 6385, 4918, 2908, 2380, 3697, 8082, 7572, 5210, 704, 7997, 4521, 5614, 1344, 1866, 4357, 5941, 2871, 8941, 7128, 4964, 9681, 1909, 3258, 8999, 9719, 5087, 7570, 9998, 2937, 1395, 6202, 5225, 2628, 7651, 5254, 6510, 9322, 2801, 954, 1544, 5875, 9384, 2161, 9913, 1292, 3513, 2130, 6707, 7874, 9230, 5292, 3230, 5019, 713, 271, 4316, 4734, 1444, 5024, 2941, 7406, 3218, 1291, 2912, 1823, 7253, 4643, 2851, 3324, 6219, 6470, 691, 6095, 6099, 1388, 6404, 2342, 9585, 7706, 7747, 9819, 6497, 238, 5098, 4814, 8326, 3929, 5150, 2126, 5880, 8889, 7598, 4963, 9227, 6598, 4408, 9473, 4481, 5272, 5810, 3613, 4856, 6629, 7330, 3744, 6499, 4143, 2759, 9361, 4047, 2062, 4595, 6664, 780, 4418, 5435, 4787, 5827, 1155, 6949, 1213, 7153, 5403, 5938, 9439, 4148, 5842, 1737, 1480, 9540, 2273, 3721, 8177, 8075, 3361, 359, 5125, 2842, 2619, 3216, 6610, 2455, 6154, 7419, 4230, 2289, 9516, 5315, 7824, 5548, 1904, 2352, 7145, 9141, 27, 3949, 5757, 5273, 7175, 4935, 263, 1962, 352, 2486, 1035, 5449, 6324, 4977, 1912, 2821, 9590, 9022, 3231, 7365, 6792, 5333, 1469, 9081, 2612, 2705, 1507, 2820, 5737, 3340, 4783, 9720, 1609, 1930, 7114, 6129, 2978, 4057, 6453, 3188, 7440, 3148, 4256, 8731, 8448, 8610, 9647, 9436, 2665, 6872, 2066, 7089, 6355, 1189, 1171, 2351, 4776, 9149, 7743, 7344, 8919, 984, 9093, 6432, 9377, 5900, 9946, 2367, 2484, 4077, 9380, 2490, 6229, 4635, 5655, 971, 6153, 9905, 4222, 9845, 2292, 1779, 7522, 4617, 2436, 8545, 8714, 7284, 982, 596, 8257, 5279, 4140, 9075, 2318, 9854, 7355, 1460, 1965, 215, 8561, 489, 7308, 1321, 9419, 8329, 3178, 5550, 1784, 9365, 5492, 6482, 3927, 3151, 515, 5193, 7095, 9138, 3861, 58, 2299, 4932, 7923, 3383, 5661, 5688, 2448, 7538, 7970, 207, 2881, 7931, 6098, 4815, 6694, 1534, 2826, 5355, 6403, 5174, 2983, 7213, 2326, 4495, 531, 2050, 6975, 6428, 6317, 1561, 8411, 9070, 113, 5294, 2804, 9613, 9261, 9910, 2174, 2355, 4750, 5959, 8638, 7422, 4129, 5076, 3341, 2730, 2575, 2806, 8456, 1204, 2500, 3780, 6671, 4110, 2796, 6002, 2067, 37, 8349, 261, 335, 9682, 4111, 7239 ], [ 122, 980, 3511, 8397, 2269, 5670, 7540, 9462, 5068, 6768, 2332, 9393, 272, 1173, 6059, 8607, 1973, 3352, 4176, 4755, 3077, 8864, 8863, 9432, 396, 9388, 1215, 9280, 5489, 9855, 8724, 9785, 4099, 7004, 2019, 9949, 3678, 198, 266, 5216, 7888, 585, 4616, 5581, 3890, 629, 7172, 6901, 5973, 1901, 2390, 1238, 6251, 8993, 7168, 9624, 6849, 569, 1208, 1024, 7053, 157, 4699, 9876, 2563, 3912, 938, 5983, 7966, 8538, 6778, 9006, 7525, 7066, 6574, 3060, 1582, 60, 7044, 3242, 2883, 3595, 2472, 5530, 1814, 4042, 1791, 9311, 5365, 9040, 574, 663, 3693, 7939, 789, 4809, 6533, 4739, 1984, 3654, 3460, 8421, 6728, 6668, 276, 981, 6583, 1948, 7412, 8359, 2903, 7487, 3877, 4437, 2231, 9212, 3738, 9665, 7082, 1472, 5432, 3378, 1998, 9939, 3999, 3510, 7476, 6270, 7417, 5923, 9977, 7740, 5727, 6319, 4535, 5474, 4286, 4548, 3376, 210, 3798, 3326, 3816, 2797, 1055, 7166, 6757, 607, 8866, 5561, 6384, 2565, 5022, 8918, 9650, 9707, 4684, 8164, 4190, 441, 7763, 3048, 7771, 7938, 7370, 2009, 4705, 2859, 7665, 4462, 9999, 7971, 7579, 5578, 386, 3649, 5754, 5033, 3405, 8961, 861, 7148, 8376, 736, 4953, 4749, 9757, 1384, 212, 6297, 5031, 7228, 8201, 750, 7389, 3813, 794, 1105, 2544, 6551, 1014, 6493, 3529, 5209, 9143, 5469, 480, 7039, 6746, 8776, 9659, 2777, 8597, 9529, 1048, 3852, 5723, 6515, 2508, 4582, 2885, 9857, 3412, 2545, 5419, 5440, 583, 7838, 9079, 7624, 8027, 8438, 8840, 894, 103, 4589, 1855, 4081, 7208, 4641, 1106, 373, 1094, 9076, 1380, 3844, 7473, 6543, 1306, 2464, 2082, 92, 3784, 7528, 9472, 1503, 5168, 1531, 361, 889, 8322, 3911, 6819, 2621, 2313, 4046, 6936, 4044, 2927, 4494, 6836, 2522, 2627, 3648, 9598, 7269, 7861, 9357, 2754, 2107, 99, 4602, 511, 4149, 8501, 206, 6332, 8274, 1621, 9119, 6268, 7865, 7925, 9186, 2153, 129, 8149, 7734, 6077, 5143, 1828, 3263, 1615, 437, 5852, 3033, 9153, 3583, 3457, 7260, 2280, 1212, 2223, 7967, 2018, 3244, 8796, 7682, 5444, 748, 1892, 8710, 3145, 1969, 912, 9658, 2769, 7545, 5671, 9154, 4951, 4273, 2219, 1853, 669, 8721, 9917, 8419, 48, 6544, 4847, 3250, 9004, 3061, 3776, 5916, 6135, 7320, 9193, 7184, 9722, 7298, 8877, 9552, 9406, 6683, 9264, 2400, 3777, 8111, 9520, 9026, 195, 8279, 6859, 7884, 7334, 2898, 5358, 1389, 5608, 6401, 5800, 6889, 3471, 3947, 5348, 3343, 5415, 5631, 9976, 1518, 9704, 5044, 7391, 7585, 762, 6035, 8740, 8865, 50, 1585, 7937, 5407, 9299, 4377, 6505, 7837, 9724, 7054, 4538, 4405, 2369, 3421, 3423, 9399, 443, 2867, 4945, 6257, 770, 7985, 8388, 4019, 6946, 7199, 2591, 6351, 6269, 9749, 9959, 1457, 960, 6091, 112, 8384, 3889, 6016, 4055, 376, 142, 6559, 180, 2541, 3898, 2562, 9569, 2816, 4513, 9500, 3582, 4187, 5611, 3714, 9708, 776, 6887, 2561, 2787, 2583, 9398, 4594, 8528, 3691, 9943, 5612, 5151, 6086, 2379, 4243, 6210, 6328, 3856, 9184, 7258, 1413, 2463, 5867, 2113, 9628, 8300, 6645, 9699, 260, 9594, 1820, 2719, 8267, 8379, 5540, 7397, 5109, 9271, 2045, 8352, 672, 3213, 4732, 9641, 5350, 3610, 7395, 9581, 8619, 3493, 2428, 3723, 4601, 7112, 785, 1552, 8604, 2089, 3853, 9001, 1603, 5730, 8432, 1463, 30, 5428, 9798, 8892, 3651, 277, 8407, 406, 5809, 2072, 2088, 1140, 4958, 5368, 9970, 6258, 6072, 1502, 3282, 870, 866, 3601, 1522, 214, 9866, 8094, 953, 2014, 7688, 8009, 8170, 1717, 4567, 5122, 2913, 5912, 550, 1918, 9353, 1861, 9304, 1754, 7142, 1947, 4397, 6411, 8139, 5937, 3990, 3184, 9116, 4800, 6175, 8059, 608, 4242, 7140, 7587, 2102, 7788, 6529, 502, 5224, 9303, 2586, 2515, 9835, 4882, 6107, 3804, 9881, 7248, 965, 5099, 5808, 7662, 3164, 9239, 3685, 5385, 4105, 7038, 7768, 9814, 8416, 6890, 1428, 5409, 6696, 8116, 3458, 3992, 1458, 3031, 8928, 7050, 6178, 9935, 5252, 5032, 681, 4730, 6527, 5863, 7669, 9595, 5253, 435, 2211, 9490, 1464, 7894, 336, 8072, 5787, 4525, 9252, 9316, 279, 8482, 4307, 6103, 2393, 2407, 7729, 7511, 6869, 7428, 566, 573, 2194, 697, 4380, 2259, 4727, 2855, 2460, 3785, 9690, 251, 5591, 803, 6492, 2229, 8520, 8251, 1676, 2578, 6876, 7144, 3161, 3281, 8415, 174, 9430, 4916, 4387, 8398, 8525, 8691, 9152, 2551, 2096, 6992, 6771, 4452, 4126, 8136, 1831, 1092, 7465, 2301, 7657, 1224, 612, 9890, 1850, 6475, 6530, 5479, 1529, 9319, 7829, 6759, 1875, 8125, 5004, 9160, 1637, 300, 3181, 8018, 297, 4886, 2511, 8618, 3621, 1966, 2178, 4825, 8246, 4309, 5275, 8298, 4565, 8905, 8334, 3122, 3539, 2934, 8247, 8263, 7774, 5390, 7486, 3391, 3020, 887, 9029, 1541, 9745, 9906, 5726, 2741, 5662, 6275, 857, 2639, 2742, 690, 8450, 4590, 2930, 1219, 7609, 1439, 31, 5784, 3448, 9449, 9145, 7437, 5097, 1347, 9675, 3500, 5100, 4509, 6698, 3895, 8078, 5715, 3203, 1267, 9535, 9111, 1076, 6922, 9879, 9726, 915, 411, 2406, 9405, 3710, 6730, 9016, 3407, 969, 9941, 7291, 8090, 2114, 896, 3574, 5666, 2092, 9609, 6661, 7167, 7357, 2775, 3556, 8800, 7834, 7178, 9508, 3566, 6688, 3656, 3451, 4636, 9715, 4845, 3318, 439, 6100, 394, 802, 6968, 1723, 9283, 3553, 3689, 2558, 2629, 2493, 1015, 1802, 4082, 9606, 7879, 1000, 8752, 7906, 4085, 7394, 852, 9951, 5256, 8138, 2785, 1053, 6745, 4301, 7306, 6449, 9767, 6969, 578, 8255, 8631, 8203, 7045, 7079, 6644, 9114, 7708, 1030, 6382, 1606, 8026, 8503, 8756, 2942, 3254, 6458, 5393, 1677, 7777, 9363, 9437, 9632, 270, 606, 503, 3849, 8690, 8738, 6691, 6415, 8810, 7623, 4651, 166, 5776, 3462, 7272, 1489, 5322, 9039, 2467, 7409, 8793, 4068, 2710, 698, 4530, 7356, 5585, 6469, 1287, 4271, 9969, 171, 258, 3331, 5859, 7635, 3712, 1703, 4178, 4083, 7181, 9170, 5410, 999, 2489, 6318, 1967, 2940, 9181, 757, 6622, 4576, 121, 4872, 6695, 4289, 779, 3979, 3136, 4571, 6916, 1078, 8573, 8316, 5820, 9192, 4539, 4709, 350, 1570, 4658, 9253, 2078, 8373, 7110, 2919, 8025, 4241, 7903, 9348, 4302, 2686, 229, 1481, 1289, 2051, 1505, 8458, 3168, 9157, 9158, 8271, 9242, 518, 6608, 5384, 9842, 2347, 7026, 5882, 1232, 8956, 7122, 22, 8669, 624, 2450, 4124, 41, 7410, 3086, 6043, 4950, 3490, 7296, 6588, 405, 2001, 7567, 791, 3756, 9018, 9924, 4224, 9711, 1986, 7891, 5642, 6868, 8109, 8241, 5108, 8541, 7369, 8061, 5152, 1323, 2171, 7274, 6023, 5896, 6457, 7215, 9940, 9060, 1066, 7023, 2188, 5849, 6706, 1135, 6271, 1922, 4453, 6827, 7331, 6823, 4805, 8755, 2865, 2127, 742, 3600, 4169, 400, 8102, 4664, 1916, 5580, 9415, 2653, 633, 7009, 9962, 1033, 3578, 4163, 5722, 8774, 8350, 8343, 4846, 5519, 9198, 55, 9084, 4974, 3150, 4084, 4420, 7819, 8307, 7252, 1978, 4998, 8965, 3025, 5503, 91, 5364, 7368, 3304, 6429, 9147, 4196, 6957, 4551, 6204, 7883, 5506, 9131, 1787, 8477, 6312, 7290, 8977, 9492, 2308, 3963, 1730, 3937, 1479, 81, 249, 7461, 9023, 7619, 9287, 6720, 2749, 1358, 1305, 7162, 2602, 6299, 3875, 6597, 3870, 6853, 8380, 9468, 2272, 227, 1652, 7785, 8680, 2270, 3468, 9691, 6272, 8544, 1511, 1150, 9751, 6421, 6329, 6938, 5828, 6843, 5805, 5535, 9604, 228, 8759, 5312, 766, 4531, 7714, 7445, 8782, 4477, 7586, 3973, 3032, 1602, 6439, 7404, 9197, 6784, 2581, 3981, 4653, 2990, 7905, 8529, 8600, 4168, 1372, 8262, 8848, 7135, 9315, 868, 381, 5299, 4970, 1484, 4610, 7727, 7555, 108, 2156, 5549, 3690, 1975, 6821, 1010, 767, 3437, 1225, 3211, 3666, 6373, 5745, 6474, 1983, 7789, 4894, 8804, 6427, 1811, 7617, 2771, 1087, 7809, 1636, 8031, 5241, 9575, 4810, 7332, 5762, 7170, 9310, 7081, 5558, 9817, 8092, 620, 7670, 2205, 1331, 8915, 5314, 6650, 8278, 9963, 4234, 1878, 5119, 6760, 7354, 4577, 1498, 778, 5153, 8402, 3013, 7263, 5326, 2901, 893, 7858, 9421, 6456, 5207, 6344, 6389, 3397, 3027, 4729, 4202, 1907, 1231, 5381, 5476, 1687, 9112, 6005, 885, 7726, 9756, 9705, 2477, 7281, 241, 1396, 3700, 4606, 7234, 8179, 2064, 9392, 7273, 7950, 7304, 2206, 707, 7919, 6974, 8835, 7711, 4827, 1733, 4308, 3102, 8144, 9619, 235, 1989, 6466, 5816, 65, 8981, 6186, 2758, 1432, 318, 3722, 1736, 801, 2692, 4694, 1051, 7602, 28, 6596, 3657, 582, 4735, 282, 963, 6891, 7401, 5943, 6183, 8084, 6325, 3016, 1964, 9428, 6123, 2740, 3786, 1228, 2397, 1330, 4949, 5349, 5945, 9117, 7546, 9383, 1880, 581, 3126, 8252, 5369, 3514, 1412, 636, 1526, 8696, 5335, 5890, 3619, 9725, 6395, 9097, 7599, 3431, 3534, 654, 6172, 6246, 304, 9652, 5321, 4475, 9095, 6708, 2349, 5541, 8022, 5741, 1835, 2433, 5894, 5699, 3370, 5634, 6852, 9214, 9772, 9768, 2040, 1252, 4681, 2196, 2649, 1156, 1659, 2212, 1283, 8703, 8051, 8811, 8566, 9203, 5521, 2261, 8754, 4520, 4817, 5619, 4154, 2823, 1138, 5249, 347, 1985, 9830, 2834, 9789, 523, 3758, 6638, 5359, 6148, 7732, 7755, 2993, 5234, 5773, 6063, 5138, 6419, 5114, 4330, 6656, 1211, 8922, 8702, 756, 4106, 4346, 4155, 8822, 5072, 3078, 7374, 2074, 8964, 2524, 1734, 1061, 2052, 8842, 7240, 6581, 4944, 9740, 777, 1070, 3475, 4253, 6343, 9702, 5871, 1688, 8381, 2570, 2456, 4642, 7380, 3653, 7375, 1019, 1555, 9571, 9297, 2023, 5, 4465, 9044, 3533, 1379, 2319, 3091, 2673, 7739, 4299, 8229, 4973, 1316, 5133, 5617, 5337, 5802, 3509, 6981, 3009, 1183, 4101, 7697, 917, 1846, 3134, 7568, 2636, 7025, 2118, 4796, 7557, 6020, 8739, 6552, 7300, 5811, 7384, 8442, 3147, 1695, 6334, 4517, 8832, 356, 2419, 4474, 3360, 7982, 3209, 5092, 7378, 4988, 5496, 5797, 4526, 77, 6959, 6684, 7575, 89, 2039, 898, 93, 2079, 9550, 1247, 6055, 9603, 6651, 8791, 1057, 6486, 7881, 5082, 509, 1808, 1838, 8382, 5877, 6926, 5582, 6986, 6682, 9451, 2895, 5354, 7335, 2672, 9481, 1794, 6678, 4997, 7182, 9580, 2495, 4534, 1579, 2091, 6850, 3577, 8236, 4339, 6304, 9510, 2177, 7767, 728, 6579, 584, 6713, 9930, 2491, 8888, 6144, 2925, 1881, 5994, 4828, 7592, 9204, 1521, 848, 2245, 1404, 2010, 201, 4446, 3502, 3571, 580, 5927, 1387, 150, 1351, 2810, 2808, 2996, 2699, 4717, 1886, 7457, 3155, 5317, 9514, 4673, 7154, 5588, 8560, 7793, 5190, 5219, 2226, 7961, 6416, 1495, 6414, 1304, 429, 9344, 9734, 856, 2951, 775, 602, 2845, 156, 8227, 5490, 991, 9927, 2746, 876, 8687, 7159, 7795, 6341, 4447, 5140, 2735, 7047, 5170, 7351, 8276, 401, 683, 2588, 106, 7707, 4960, 1062, 1467, 8218, 7305, 4463, 7994, 8601, 6192, 8732, 7737, 7738, 8763, 5238, 6052, 164, 2265, 5478, 2497, 5876, 4010, 2987, 1378, 4396, 9434, 6201, 3735, 6260, 7421, 5846, 1913, 2683, 8093, 4662, 7759, 9376, 5290, 9685, 3778, 4174, 930, 8121, 3794, 8228, 5148, 7489, 798, 1195, 3972, 4306, 5590, 7524, 9549, 9066, 1670, 5512, 6795, 2651, 2896, 2011, 2566, 2733, 6680, 2666, 5868, 2443, 1908, 6744, 3628, 315, 6734, 7484, 4464, 6769, 3402, 4791, 44, 3538, 2723, 3667, 8547, 4972, 7536, 7956, 1348, 9497, 6152, 3295, 9216, 8073, 9460, 6612, 9656, 1462, 4710, 5257, 3807, 7676, 8838, 1025, 4851, 7984, 6806, 1162, 6928, 5163, 3881, 2943, 8124, 3616, 3774, 3519, 428, 4990, 6383, 9629, 1083, 8208, 1227, 5767, 7423, 1542, 1591, 5165, 875, 133, 5824, 42, 9989, 8309, 8048, 2766, 3607, 9164, 7597, 9544, 1914, 6233, 9811, 7717, 4910, 6083, 6146, 905, 6309, 5636, 5464, 1693, 3277, 5436, 3580, 6150, 2168, 316, 4232, 2329, 2049, 5650, 4193, 5758, 1279, 61, 8216, 8845, 3682, 6599, 1775, 9033, 5370, 8283, 5357, 3867, 1118, 9686, 525 ], [ 3696, 8540, 8636, 691, 8641, 6830, 6043, 3344, 8024, 7186, 220, 6394, 3340, 6254, 3671, 8154, 7834, 837, 5428, 5204, 4755, 8705, 8843, 3507, 3025, 1630, 1329, 1376, 2023, 9186, 6365, 7548, 5316, 1843, 6994, 2660, 6736, 8911, 6296, 1577, 5612, 647, 161, 625, 9846, 5857, 9672, 9454, 9719, 7256, 8514, 3725, 2089, 2794, 2389, 3192, 6982, 1309, 9546, 6821, 4143, 9739, 3947, 9669, 9257, 7996, 775, 7628, 939, 654, 1352, 3683, 168, 4389, 7877, 4032, 9174, 390, 8854, 9350, 9252, 9452, 4630, 8173, 1350, 9567, 1760, 7596, 2453, 8723, 8476, 9021, 1327, 1233, 4613, 2256, 5503, 9303, 4732, 7561, 5640, 201, 3551, 315, 4637, 9875, 4436, 2875, 990, 3206, 7681, 7465, 437, 540, 9931, 7678, 4919, 6335, 3653, 3510, 6276, 308, 6798, 401, 1276, 1251, 8932, 2807, 4310, 2692, 4994, 4382, 8496, 755, 7382, 8242, 8744, 5789, 9547, 977, 7875, 8535, 7781, 9995, 2131, 399, 6597, 4304, 4599, 1118, 9677, 1778, 7913, 6165, 597, 2917, 7756, 8108, 1451, 458, 4998, 987, 3925, 4395, 1859, 8877, 4901, 5049, 7123, 9851, 9318, 3765, 4657, 80, 8056, 1249, 1959, 176, 9599, 2192, 8257, 964, 4544, 6640, 3745, 4267, 8552, 3492, 8784, 9039, 5102, 3294, 4009, 884, 8332, 4706, 6728, 4881, 6468, 6079, 4247, 6668, 3613, 2829, 7087, 8904, 6225, 7125, 12, 3501, 1427, 8729, 8504, 5065, 6775, 2726, 1072, 8144, 4259, 2779, 9963, 5017, 4656, 5527, 1085, 5344, 1300, 1515, 976, 2766, 9241, 2860, 3782, 3481, 48, 5890, 5495, 4361, 2679, 1391, 5568, 4635, 9376, 7603, 3124, 3495, 7878, 43, 705, 9806, 5988, 9934, 3912, 7767, 8232, 1858, 2018, 9463, 3258, 8327, 7662, 6991, 395, 435, 6699, 7623, 5075, 2149, 8085, 6589, 2134, 9865, 7208, 6616, 5621, 5187, 9099, 1773, 5922, 2503, 9500, 6037, 676, 6532, 3222, 1139, 2327, 3573, 2138, 7077, 8264, 6705, 2428, 194, 9930, 311, 2437, 1378, 393, 8333, 3689, 9206, 4670, 3864, 8604, 7944, 6132, 75, 8732, 7056, 9385, 9078, 2300, 8488, 5902, 5953, 2551, 8848, 1088, 2865, 9826, 3911, 7543, 7705, 5169, 7118, 4209, 7254, 3871, 4665, 4982, 5151, 8583, 2906, 4764, 5086, 9897, 6756, 5540, 1111, 2523, 6803, 7643, 8714, 5573, 5251, 9752, 5253, 3922, 1568, 6555, 4739, 6946, 1560, 954, 329, 9942, 6072, 6196, 1173, 632, 8247, 3776, 6911, 2845, 5354, 5502, 5743, 452, 6493, 5668, 9557, 2096, 171, 7754, 1606, 2371, 2646, 499, 3083, 3198, 2948, 8195, 31, 8818, 7477, 7868, 6231, 2335, 1775, 2468, 4429, 2757, 4905, 1370, 6811, 5519, 2000, 3599, 5429, 8037, 9148, 3141, 1140, 8413, 2248, 8026, 2455, 8113, 2589, 4672, 5830, 9738, 6689, 2171, 7379, 6760, 1194, 1122, 5906, 6749, 7352, 4169, 956, 8551, 526, 8862, 439, 2451, 3243, 2447, 866, 644, 4158, 5679, 5935, 9319, 9166, 4243, 8098, 9456, 914, 4817, 6246, 1851, 5468, 9783, 6883, 9899, 1332, 1787, 5496, 2645, 6312, 9331, 957, 2480, 8187, 2787, 8585, 1030, 8509, 5141, 5395, 270, 7720, 9354, 9608, 4258, 7330, 5790, 5249, 6538, 9218, 3323, 5317, 3528, 4679, 5264, 2366, 2599, 3804, 9161, 9602, 4071, 3552, 4417, 5999, 848, 3724, 5074, 9574, 9827, 9979, 6474, 443, 2584, 9949, 786, 1169, 8469, 5839, 362, 4081, 11, 721, 690, 5401, 6996, 5787, 3926, 8775, 8497, 7841, 4577, 7743, 7639, 943, 6209, 7984, 7269, 9884, 664, 4229, 2277, 3688, 8041, 8900, 5971, 1619, 5228, 374, 3226, 5046, 4591, 9036, 2564, 2432, 9804, 8492, 9488, 4359, 8593, 7847, 141, 4632, 9520, 8669, 9766, 2085, 8194, 6293, 1383, 2672, 6351, 7746, 7500, 71, 9638, 1969, 808, 2047, 6548, 5196, 5475, 9770, 514, 6522, 3084, 2893, 4942, 2647, 1426, 9055, 4914, 3958, 9776, 9716, 800, 4291, 6480, 1634, 7066, 9292, 9831, 9096, 2508, 8301, 4207, 3876, 5981, 7470, 8385, 2712, 4981, 5254, 3967, 4112, 6301, 5908, 4370, 2207, 2093, 5651, 1344, 907, 2348, 2707, 7189, 243, 9918, 7773, 534, 6166, 8158, 1678, 9197, 8137, 5298, 2887, 4840, 2571, 4636, 2076, 7367, 7987, 4683, 804, 4425, 1498, 5394, 7909, 6244, 4415, 4561, 8587, 5160, 1930, 6000, 7801, 8516, 4688, 3339, 5027, 6975, 2834, 8949, 9545, 9697, 3679, 7815, 7192, 5148, 8172, 2351, 5800, 4030, 3893, 5964, 5325, 4343, 9026, 1566, 7988, 8121, 9479, 2597, 3343, 8065, 7965, 3999, 3605, 7808, 6286, 4997, 1127, 6433, 2677, 8186, 578, 7508, 9395, 4592, 1898, 5035, 1285, 6052, 2795, 253, 898, 8328, 3866, 1318, 396, 2160, 3247, 5650, 1912, 3659, 343, 8616, 6193, 5090, 2376, 266, 3417, 3681, 5850, 7022, 9462, 5750, 3692, 4659, 450, 5676, 7784, 5526, 1687, 2233, 9988, 9122, 6131, 4185, 8633, 9932, 4939, 1212, 3189, 3834, 3426, 8643, 4699, 1794, 8467, 3330, 4963, 6440, 1540, 8066, 1429, 7146, 2092, 6809, 5549, 7349, 5653, 9797, 4405, 6197, 1870, 53, 7605, 8621, 1187, 1762, 7910, 2741, 8665, 5104, 4528, 9436, 1255, 8634, 3016, 3364, 7358, 3139, 9329, 7742, 5229, 719, 7997, 543, 5260, 9193, 4234, 5194, 7751, 5083, 2532, 2909, 7366, 2784, 7287, 4757, 9832, 6476, 7180, 1748, 1927, 5580, 9242, 2481, 6262, 7763, 1485, 2475, 4458, 944, 1882, 274, 1492, 5036, 1379, 4893, 5061, 9189, 3626, 4640, 5248, 8541, 5144, 4976, 3663, 1371, 2087, 496, 7579, 7422, 7386, 7522, 5236, 1861, 7450, 680, 911, 2720, 8717, 3716, 4803, 2700, 7033, 8182, 8340, 8515, 6248, 3249, 6666, 798, 9116, 3301, 8222, 5278, 1307, 2608, 7432, 8190, 743, 2718, 407, 1899, 1182, 6289, 3860, 1526, 7734, 9648, 1135, 9656, 7865, 4761, 3586, 7501, 5076, 7844, 4494, 5467, 3282, 5961, 9499, 3113, 1479, 5965, 1414, 9411, 8000, 9212, 7802, 7670, 4438, 1478, 4448, 8016, 8603, 9, 5026, 9959, 9321, 6926, 7095, 6993, 2995, 5681, 8920, 4478, 6283, 4923, 3467, 8470, 1229, 6449, 4341, 4394, 5933, 7598, 1244, 2690, 3439, 9457, 2110, 8489, 1438, 223, 7550, 6232, 2937, 5081, 1302, 1803, 5537, 5508, 4401, 1131, 714, 5056, 8344, 3862, 8471, 8280, 4216, 7252, 1578, 9250, 9226, 5910, 3490, 2736, 5471, 7191, 2869, 3076, 3372, 5837, 4558, 2997, 9419, 6214, 6928, 4651, 6105, 1476, 4703, 1717, 8396, 8549, 4352, 2308, 4101, 6507, 3413, 6701, 1007, 4072, 656, 3336, 4911, 6858, 8830, 3992, 777, 3475, 4024, 6653, 2626, 4001, 8584, 8354, 9115, 8499, 3620, 4033, 6872, 7311, 2878, 4708, 9477, 4260, 7285, 8012, 9991, 5334, 5942, 3951, 3927, 8049, 9609, 1758, 8817, 8827, 8156, 7082, 2079, 8426, 3241, 8170, 1345, 139, 4253, 2253, 4046, 2525, 5791, 3709, 453, 2517, 96, 2580, 7914, 4902, 2614, 6031, 9365, 8153, 2027, 7024, 6572, 770, 140, 9920, 9566, 962, 1696, 112, 9340, 7564, 4740, 5581, 3962, 6836, 7676, 3452, 4839, 865, 2293, 7115, 2227, 7081, 1048, 6619, 3035, 1826, 2424, 1203, 9882, 9228, 8935, 7372, 9755, 9689, 265, 4457, 6125, 5684, 4624, 6393, 2501, 5435, 5588, 428, 5557, 8116, 2609, 7800, 424, 6502, 7721, 6120, 5973, 7355, 9642, 3524, 5355, 1614, 3114, 7651, 1162, 5649, 8401, 7061, 6227, 7960, 6517, 5089, 7760, 3390, 9094, 8095, 729, 6973, 1449, 4913, 7973, 1549, 3836, 4262, 9845, 1980, 5689, 2798, 6889, 4197, 1359, 6023, 1388, 677, 3306, 2591, 7936, 3516, 1071, 8494, 9410, 4479, 3781, 3585, 4371, 8255, 5012, 6237, 58, 600, 300, 5, 591, 6302, 9168, 4490, 7534, 8590, 503, 7224, 595, 3518, 5393, 8450, 5512, 1656, 3496, 7084, 4129, 303, 7792, 4384, 2040, 5474, 8686, 8778, 6810, 1684, 6458, 4375, 5284, 1260, 8371, 8093, 250, 1147, 369, 8244, 9064, 5871, 6025, 8133, 2028, 781, 4074, 7299, 3170, 1945, 4720, 8823, 8835, 2423, 5051, 7289, 5762, 6983, 107, 8027, 9713, 5398, 8478, 522, 8188, 7196, 8666, 7014, 115, 5592, 6489, 8387, 6916, 4164, 132, 5543, 5457, 6801, 2146, 5559, 1351, 9522, 940, 1267, 3988, 3478, 3943, 1752, 6838, 360, 3331, 5190, 8324, 8663, 5242, 4711, 9687, 6625, 5603, 4387, 2016, 7094, 9808, 2259, 3068, 7441, 6612, 4483, 8053, 4511, 6071, 2696, 634, 8266, 5213, 9892, 8379, 2922, 3669, 1040, 6751, 4256, 8943, 605, 521, 7429, 6731, 8672, 7664, 3788, 5313, 9077, 849, 4244, 6824, 4426, 283, 2694, 4993, 6305, 7547, 5732, 1453, 3324, 1636, 6878, 6062, 2464, 3640, 5166, 5295, 269, 1301, 9970, 7413, 4573, 1161, 3421, 2378, 2476, 8118, 9153, 9634, 7562, 323, 1480, 9814, 9176, 5303, 8926, 9682, 7124, 7736, 4312, 9025, 7843, 819, 6269, 1056, 5744, 8527, 4887, 7057, 2748, 3896, 4971, 6383, 3366, 2535, 350, 9504, 2810, 763, 4557, 4173, 1268, 5742, 8679, 462, 3143, 9335, 7103, 6410, 8683, 9070, 289, 1171, 3758, 3066, 1799, 9598, 3020, 181, 7028, 1265, 2550, 2911, 440, 5071, 9511, 801, 9128, 8580, 3310, 4235, 7390, 4778, 3759, 7341, 1240, 1723, 7917, 291, 7928, 8455, 7807, 9879, 5193, 2853, 3945, 5833, 211, 2697, 2681, 4889, 9796, 981, 4737, 5353, 9229, 9117, 6972, 7239, 5986, 5404, 331, 8690, 6977, 8939, 1032, 768, 873, 5274, 414, 8626, 9029, 6851, 8697, 7656, 2899, 3186, 1226, 8922, 6203, 7020, 6082, 436, 7098, 929, 7434, 2483, 5845, 4727, 6586, 2980, 6732, 4681, 2650, 7726, 4423, 2033, 1816, 5624, 62, 1473, 4274, 3369, 9060, 8249, 5678, 2274, 4612, 2222, 649, 1624, 8799, 8968, 5899, 3772, 3799, 1946, 4340, 6567, 409, 2542, 9155, 1039, 4205, 3643, 9295, 821, 7574, 8644, 7247, 9288, 3674, 4500, 8768, 8200, 8952, 575, 1694, 5013, 5749, 1373, 9833, 6591, 6828, 5099, 9881, 6737, 129, 4878, 8419, 5085, 5220, 9423, 2622, 9017, 7495, 4773, 550, 9753, 3312, 1939, 2126, 8588, 6829, 296, 9968, 3432, 5711, 2729, 5375, 2861, 2056, 3486, 4109, 9150, 6971, 8750, 1319, 8265, 8776, 4502, 6425, 3611, 3830, 2216, 6856, 2305, 9260, 5895, 9169, 1719, 5816, 9784, 9098, 1432, 7880, 1237, 1227, 1294, 8487, 8149, 1948, 1046, 6560, 8538, 5834, 5611, 711, 6101, 4797, 638, 9767, 7336, 6001, 3509, 3935, 717, 703, 8143, 6116, 6113, 10, 7599, 5692, 8748, 5127, 6518, 4203, 4206, 2570, 8493, 5005, 1693, 2605, 8886, 7597, 3133, 1372, 8863, 2449, 5891, 5541, 2923, 1095, 6454, 1440, 9928, 594, 341, 7640, 9470, 9434, 3703, 6898, 5916, 228, 8164, 102, 1811, 3955, 7027, 2612, 7169, 1310, 5501, 6576, 3436, 4953, 9924, 2507, 8879, 4180, 5572, 4920, 3277, 5111, 789, 1493, 8453, 2043, 9126, 8361, 4593, 1306, 9810, 2585, 1401, 557, 7949, 887, 3385, 3924, 9109, 2867, 5918, 8638, 7730, 9517, 2144, 8347, 5473, 2280, 6157, 9111, 3443, 2623, 2214, 5019, 51, 108, 2197, 4605, 4850, 9362, 8192, 8086, 1400, 6748, 6239, 7498, 2590, 1679, 5641, 2932, 1655, 4634, 733, 3627, 3415, 6083, 523, 7195, 1512, 4628, 6620, 7473, 3771, 1132, 3269, 2682, 8083, 6855, 1682, 9777, 7747, 8872, 3580, 3102, 7985, 6012, 1583, 1068, 4488, 8864, 3748, 7908, 6917, 842, 7110, 5560, 8310, 2260, 7494, 4970, 230, 878, 5930, 589, 4246, 3228, 7903, 8708, 9957, 3333, 2763, 2951, 8840, 6432, 5924, 5391, 9175, 4806, 5528, 918, 8991, 8437, 692, 9285, 2881, 1840, 7853, 4595, 4874, 5174, 2236, 22, 3111, 767, 5892, 3348, 2009, 455, 7644, 794, 8448, 8771, 1368, 5033, 2271, 4524, 5408, 3986, 290, 6263, 6876, 585, 3670, 8236, 9386, 2421, 5943, 2111, 6791, 6477, 6339, 2201, 5886, 4985, 2854, 6819, 8948, 7031, 2930, 5795, 3809, 9108, 2258, 1404, 3342, 40, 4829, 6778, 3428, 282, 1360, 8826, 187, 2902, 2011, 4468, 6684, 4083, 886, 9455, 7940, 7642, 2496, 4108, 7986, 4140, 9646, 701, 7950, 8586, 8614, 3502, 6529, 8745, 7842, 1955, 5855, 8570, 3968, 5771, 6915, 8998, 7575, 593, 3873, 5245, 1791, 9200, 8047, 8033, 9601, 8420, 6313, 3833, 8906, 4325, 1142, 7682, 3638, 1080, 807, 8880, 5418, 3738, 8951, 3976, 4607, 8355, 5135, 2774, 7943, 7904, 7085, 1886, 3795, 4842, 9791, 377, 9338, 426, 3347, 83, 4172, 3065, 2281, 668, 1576, 1908, 1594, 7647, 3126, 6377, 5347, 4339, 4517, 2065, 6253, 4537, 5726, 4986, 9805, 8930, 3101, 6869, 5366, 7907, 5450, 2918, 466, 1518, 1994, 4955, 4160, 6094, 3566, 7695, 5439, 5889, 5852, 9073, 8576, 2769, 1044, 2716, 1806, 7007, 3826, 1625, 3275, 8927, 9325, 4569, 8787, 8752, 7673, 4424, 7047, 1184, 1648, 8432, 9927, 4566, 8258, 1892, 8819, 1176, 4992, 1538, 8017, 3299, 1900, 2431, 4161, 639, 432, 9422, 2301, 5620, 5710, 8209, 4096, 9649, 7282, 1521, 7171, 9740, 2319, 8704, 5907, 8462, 7280, 7456, 7062, 602, 4496, 6021, 8412, 3841, 8987, 8048, 6287, 3298, 3283, 295, 2474, 4655, 9773, 9876, 6676, 7102, 1096, 6691, 708, 3881, 2592, 421, 6453, 3437, 4662, 3129, 8833, 1254, 6439, 5517, 9552, 8532, 95, 5315, 822, 1087, 5175, 4390, 3061, 892, 5377, 1034, 2938, 3441, 3335, 3119, 5318, 4026, 9986, 285, 4808, 190, 2182, 3561, 6252, 8343, 5000, 8832, 8147, 5955, 8070, 6472, 6498, 2505, 769, 1829, 1669, 7271, 3756, 8933, 6735, 64, 6268, 1110, 574, 3168, 278, 6857, 7649, 6539, 444, 5237, 1347, 5625, 2520, 8892, 4781, 803, 7008, 69, 5307, 8234, 3888, 15, 9747, 7566, 155, 7902, 6888, 7604, 9651, 8963, 7359, 9068, 5566, 9381, 6643, 4369, 7755, 2174, 5461, 365, 4760, 1981, 549, 9834, 6421 ], [ 3701, 4929, 669, 3161, 4918, 9373, 2114, 1766, 8788, 2272, 6299, 6921, 2454, 232, 4798, 5167, 9715, 6155, 178, 9232, 4554, 4189, 8656, 6584, 4614, 636, 6122, 7464, 3741, 1101, 7421, 7707, 748, 2143, 8881, 9130, 5507, 1168, 3704, 7722, 8152, 7228, 3480, 3392, 9163, 4892, 8112, 54, 310, 2802, 3045, 906, 8944, 6161, 9179, 6128, 3600, 7353, 497, 174, 922, 204, 8795, 7962, 3400, 5756, 4888, 3737, 1197, 6398, 3121, 5514, 3629, 7209, 9558, 5602, 6, 9731, 9975, 7506, 9726, 8287, 2352, 5372, 1499, 7798, 1784, 5376, 5290, 9323, 3574, 9701, 7660, 16, 9011, 3993, 8543, 7738, 1593, 6280, 4439, 9578, 8572, 2927, 3058, 9282, 2057, 7009, 4912, 8163, 2206, 7222, 8566, 8179, 279, 890, 635, 6713, 7457, 4927, 5356, 4793, 9575, 2876, 4686, 3824, 258, 5481, 979, 3721, 537, 7234, 0, 6895, 7731, 9587, 6776, 3049, 3746, 8579, 217, 1010, 2816, 6460, 6556, 7933, 7388, 8611, 9763, 6322, 5028, 1444, 9409, 6310, 5808, 9750, 5629, 1482, 9061, 6599, 5124, 883, 1466, 4865, 1272, 7712, 4663, 5590, 9868, 3910, 5410, 8082, 4729, 6559, 6841, 671, 7220, 5594, 1552, 1196, 1561, 9211, 1225, 5582, 4692, 2666, 9990, 7399, 6875, 8359, 4016, 2004, 3321, 8916, 678, 489, 6931, 340, 9893, 4673, 4983, 2670, 5044, 8694, 2345, 3471, 128, 1477, 7610, 9688, 7567, 4838, 9789, 3607, 6027, 1174, 895, 3985, 4751, 5643, 7957, 741, 5155, 4265, 327, 7924, 6596, 3311, 4631, 3288, 6473, 4137, 9933, 8063, 1220, 569, 4170, 7527, 1895, 5270, 4041, 902, 9052, 1547, 9540, 353, 6754, 1780, 6846, 4420, 6632, 6035, 1589, 3941, 1382, 7557, 6758, 3328, 9305, 3728, 9177, 1439, 5308, 1546, 7810, 5465, 5751, 2789, 8929, 6906, 7955, 7402, 3397, 2220, 9129, 5200, 8924, 6515, 4176, 760, 7221, 606, 9830, 3818, 2533, 5807, 4616, 3220, 1455, 5043, 9370, 5644, 6985, 4877, 7175, 4268, 4174, 4066, 202, 6777, 1505, 1502, 7655, 2354, 876, 6780, 1042, 9465, 8312, 1421, 7120, 5607, 366, 9873, 2035, 8838, 9786, 8218, 5105, 5824, 8269, 6862, 4792, 1970, 9692, 335, 5209, 6673, 5329, 6587, 7213, 5469, 4379, 354, 1381, 8901, 7553, 4442, 3667, 361, 1812, 6437, 9076, 2318, 1305, 3318, 373, 4462, 7079, 6520, 2078, 1221, 1662, 2026, 974, 4768, 5277, 4946, 2438, 5996, 2107, 405, 1824, 3050, 8695, 9935, 9502, 1902, 4844, 7541, 3393, 429, 9002, 8430, 4376, 9149, 6111, 2640, 7915, 1544, 6804, 1848, 6450, 6049, 8878, 2439, 7157, 9828, 9147, 7637, 2045, 3210, 4353, 8399, 7920, 5505, 8005, 1163, 460, 528, 820, 3057, 9679, 5132, 4099, 6499, 92, 8742, 7859, 3017, 7240, 4800, 1993, 2636, 5214, 1333, 9944, 3555, 4466, 8984, 517, 5380, 5273, 1753, 3112, 4962, 1235, 9985, 4900, 9596, 3053, 583, 5872, 9978, 4407, 2711, 7343, 5782, 2333, 4689, 8388, 5904, 9559, 7806, 1553, 857, 9136, 4127, 3176, 4725, 4718, 1413, 1270, 3406, 7176, 5011, 1958, 1975, 4150, 2898, 160, 5521, 8985, 89, 4644, 5529, 2038, 8822, 4669, 5828, 5332, 7898, 4940, 9534, 8, 8038, 4816, 3974, 8050, 3885, 5628, 2031, 7348, 995, 6959, 6109, 2607, 126, 2190, 7459, 2514, 355, 8739, 6700, 571, 1643, 9006, 1554, 9337, 9045, 4187, 1556, 5472, 9430, 5574, 3351, 2820, 5876, 6590, 1535, 4978, 6602, 3276, 87, 1818, 8261, 663, 1165, 5615, 3996, 2559, 7586, 7129, 8177, 2943, 5717, 5657, 9691, 9754, 8502, 2477, 6649, 406, 712, 9216, 8671, 5244, 5919, 4038, 7689, 5079, 116, 4754, 7144, 9063, 8123, 1052, 3998, 447, 61, 7554, 1045, 4100, 1586, 2394, 4252, 5696, 8711, 4742, 560, 8625, 2674, 2984, 862, 631, 2309, 765, 3625, 7131, 6469, 5786, 2941, 2175, 6487, 2916, 9593, 4735, 4674, 1757, 9837, 1890, 4453, 6318, 1497, 473, 2659, 618, 7032, 8866, 4282, 9278, 7267, 417, 1707, 509, 8285, 1020, 610, 5158, 4165, 613, 6534, 307, 5226, 698, 5202, 1005, 771, 9650, 1297, 6137, 5106, 2188, 2158, 4317, 722, 1579, 4546, 5382, 9802, 7004, 9999, 2397, 5302, 877, 4441, 1570, 9284, 1976, 9992, 3230, 2298, 6413, 5523, 6986, 6200, 251, 3868, 9231, 3930, 3213, 2106, 8243, 2926, 5761, 7867, 1158, 6073, 3567, 1358, 7383, 8865, 9420, 4897, 6686, 4373, 2314, 9916, 4329, 2118, 4327, 4015, 909, 6376, 1543, 9165, 5272, 2717, 2900, 376, 4505, 3450, 384, 7542, 4195, 5050, 9302, 9732, 3465, 2643, 9577, 4208, 6358, 24, 4019, 727, 2291, 8510, 3199, 7451, 4136, 2960, 4022, 138, 9270, 913, 2147, 3649, 6657, 2680, 6742, 6067, 3905, 1674, 1838, 6744, 4128, 3595, 9275, 9428, 7243, 8667, 874, 7729, 175, 642, 103, 3380, 5080, 7038, 3775, 146, 8780, 9627, 1423, 8757, 5455, 4526, 533, 1529, 3207, 3454, 6922, 8390, 6478, 5489, 1126, 1284, 5252, 7347, 2914, 1854, 6868, 6697, 188, 4094, 7183, 3817, 3212, 6345, 3655, 5504, 5445, 1295, 5784, 5635, 3497, 2601, 652, 1328, 6429, 9431, 2099, 9655, 8790, 553, 2693, 5420, 2225, 4873, 6561, 378, 6140, 7633, 718, 1802, 5392, 1646, 6178, 3942, 1495, 7606, 4347, 8618, 7536, 7931, 854, 55, 7327, 4853, 8928, 9813, 2907, 5894, 6164, 8276, 9798, 8627, 9745, 5929, 580, 8446, 859, 7990, 4428, 975, 1822, 662, 4419, 2498, 4145, 1626, 6171, 7099, 6853, 9058, 5287, 5884, 498, 6354, 1514, 4450, 511, 8034, 4088, 4307, 8213, 2815, 147, 8934, 5984, 3185, 5835, 2471, 2759, 98, 2799, 5181, 3360, 4383, 7890, 7999, 8909, 4831, 9277, 487, 7911, 3, 6195, 2587, 381, 74, 8356, 761, 6332, 3887, 7774, 3740, 3427, 6784, 1488, 3238, 4269, 6373, 3032, 3658, 1208, 8733, 6938, 7753, 3425, 4609, 1957, 3807, 3404, 7674, 3087, 2488, 751, 9367, 2658, 9369, 8032, 6569, 1342, 7302, 3029, 2986, 6087, 1905, 3013, 6800, 6371, 1282, 3146, 6046, 5765, 7012, 6294, 5970, 541, 6230, 1659, 6860, 7794, 2167, 8632, 547, 4413, 1463, 5962, 9468, 8913, 8761, 8518, 7876, 7665, 9453, 3538, 7744, 9842, 383, 6212, 7948, 236, 5125, 2119, 5639, 4337, 1658, 4344, 7444, 2920, 6674, 8652, 8975, 4020, 6114, 8599, 47, 1215, 9788, 4950, 3542, 2628, 2862, 6650, 2822, 7170, 7982, 1789, 853, 5757, 3944, 438, 7827, 2642, 6727, 5985, 7663, 7684, 6609, 963, 2, 8716, 7925, 8178, 2390, 3995, 1910, 2998, 6219, 3991, 4470, 7425, 6144, 920, 4578, 203, 3564, 2556, 6820, 2731, 2913, 8217, 3762, 7449, 1472, 8380, 2294, 5631, 679, 9543, 2142, 5958, 4456, 5802, 3358, 8719, 4854, 5464, 1065, 6547, 5551, 7612, 2024, 7818, 757, 9086, 6363, 555, 1932, 8758, 2790, 8463, 135, 3037, 1572, 4391, 6325, 9743, 1938, 3208, 2104, 1597, 6708, 6694, 7952, 6835, 3839, 7374, 2668, 2261, 1195, 9339, 7958, 7849, 4106, 9815, 6981, 6419, 7232, 1725, 3604, 1727, 1767, 6535, 9819, 9235, 2034, 7223, 4822, 9610, 6842, 2965, 3902, 8020, 2737, 6741, 9394, 529, 5638, 5054, 1230, 205, 7624, 7263, 6562, 6577, 2639, 4770, 8302, 8201, 8289, 991, 8511, 2398, 6660, 7458, 7270, 5444, 4619, 6698, 1926, 6690, 1435, 6961, 359, 8890, 2724, 2675, 1602, 1028, 8254, 6910, 5173, 7584, 984, 5031, 379, 6634, 8841, 5093, 6441, 6136, 5754, 5799, 8950, 7493, 9449, 2430, 2334, 3297, 5263, 7319, 8529, 6802, 8721, 8278, 8869, 5654, 6849, 5400, 1277, 9854, 3108, 5094, 4102, 1541, 2695, 3320, 2604, 9140, 9523, 548, 3790, 6320, 4647, 4837, 1236, 9993, 3416, 3921, 3383, 9057, 8560, 9637, 6837, 999, 3556, 9759, 2777, 5147, 6446, 7034, 917, 7517, 1460, 233, 3122, 7112, 8357, 8646, 2552, 1768, 6086, 4186, 1539, 2434, 1907, 2746, 2416, 7055, 3309, 6574, 9259, 7371, 3631, 9498, 8557, 3642, 5321, 8794, 7502, 5847, 410, 9896, 4319, 7479, 7030, 6352, 8986, 6545, 4314, 1119, 839, 6077, 5860, 5617, 2895, 4433, 1738, 4157, 6321, 3588, 4949, 8288, 7288, 9765, 3024, 5863, 9772, 3908, 3856, 5437, 1017, 4868, 6513, 9615, 21, 6121, 709, 828, 4000, 4951, 1210, 9894, 7486, 5896, 3661, 4432, 1436, 6463, 9820, 469, 875, 2830, 7710, 5098, 5520, 9569, 8945, 6565, 5161, 8977, 8308, 9723, 2306, 1591, 6016, 3622, 2521, 2676, 2185, 938, 5849, 3138, 6055, 6243, 5008, 8321, 8230, 9824, 179, 1211, 2478, 3537, 2992, 8578, 4070, 67, 4587, 7153, 5034, 5730, 4626, 8659, 6409, 2749, 608, 5530, 5130, 5246, 9067, 4954, 5967, 3096, 2267, 3514, 123, 3719, 5219, 2528, 3828, 7504, 347, 3519, 1116, 7969, 7535, 5361, 3593, 8558, 301, 7919, 4323, 2836, 7832, 6090, 1793, 9769, 7634, 4222, 9886, 9043, 720, 5421, 3165, 88, 4582, 5041, 9459, 6692, 277, 9089, 6920, 8809, 7117, 4089, 3568, 7139, 6613, 1178, 7600, 7161, 670, 4785, 9794, 398, 5819, 5442, 7873, 9914, 6334, 5419, 8181, 1091, 3033, 6039, 9549, 7141, 4862, 1582, 506, 9379, 3079, 5683, 8160, 2703, 926, 6688, 6995, 8574, 9553, 1533, 9562, 2041, 1734, 7258, 9762, 9327, 8075, 1973, 4836, 3723, 4052, 3515, 8993, 7512, 1689, 4366, 5486, 6687, 1612, 5836, 7021, 1853, 2844, 4924, 8654, 7906, 5297, 1496, 4525, 9447, 5040, 9224, 4789, 8589, 8601, 5066, 1428, 1339, 8072, 739, 5311, 5225, 2568, 2199, 7975, 6528, 7889, 3085, 747, 8272, 645, 3796, 3733, 2130, 8824, 3895, 1951, 6772, 3223, 7608, 3386, 9097, 5223, 2385, 9081, 5888, 4876, 9708, 3403, 3184, 1112, 1364, 9005, 7568, 6497, 7487, 3260, 5265, 2956, 7133, 6844, 6957, 5775, 3936, 4156, 7265, 8214, 3150, 3525, 5926, 9344, 2336, 3315, 29, 9641, 8887, 8130, 6282, 5103, 9266, 640, 7321, 8707, 7970, 5470, 494, 3594, 7733, 2049, 4891, 346, 9281, 5359, 3054, 1223, 3367, 6558, 5488, 5593, 6240, 5516, 8942, 3907, 2651, 971, 237, 44, 7187, 4114, 3070, 7749, 4843, 5687, 2459, 3966, 4643, 6032, 6438, 5029, 7583, 4029, 2935, 9812, 3259, 2342, 148, 9090, 4402, 8777, 2714, 6356, 298, 3913, 6956, 7392, 5997, 1489, 4756, 4538, 7309, 4011, 9987, 844, 8004, 3579, 1256, 464, 2150, 149, 8564, 8456, 3853, 5432, 5491, 1031, 4223, 1509, 4827, 3665, 1, 2733, 6448, 9613, 1596, 1901, 4443, 6786, 665, 8250, 570, 9225, 746, 6570, 1639, 2312, 3766, 2145, 6490, 682, 2384, 5348, 6937, 7723, 8609, 2962, 8940, 9158, 2968, 1691, 9874, 1362, 5940, 1459, 6790, 3526, 6002, 5184, 8009, 8858, 7389, 6491, 1909, 2583, 1263, 2634, 3034, 8702, 7888, 3009, 8139, 1934, 1764, 3160, 6865, 7782, 65, 8458, 9630, 5713, 1060, 1287, 3183, 8649, 941, 4286, 1179, 8323, 7524, 4579, 5343, 6133, 7257, 9346, 9421, 9437, 325, 508, 7018, 5371, 6568, 2289, 9019, 8800, 4779, 2211, 304, 4198, 6638, 4886, 685, 8271, 3706, 4007, 8441, 8517, 983, 3693, 5112, 6428, 9639, 7799, 838, 5216, 7052, 8002, 4132, 6013, 1708, 8770, 5753, 8211, 4852, 8046, 3006, 111, 1141, 8513, 1664, 2969, 434, 7725, 8741, 3064, 4506, 1697, 3284, 4530, 1877, 3255, 4588, 1825, 6319, 1584, 9199, 234, 6533, 7991, 9528, 9001, 5804, 7238, 9890, 3987, 3438, 4606, 4922, 208, 6683, 9414, 1686, 8713, 6526, 4977, 3435, 3846, 2328, 9024, 5015, 3289, 3590, 1919, 6192, 1441, 1228, 788, 3994, 8965, 1121, 8054, 8870, 6485, 8180, 4138, 2304, 3194, 3844, 4035, 8831, 1471, 8681, 9800, 2686, 6279, 9895, 6188, 2557, 1155, 3051, 5109, 1054, 1922, 6505, 7364, 7679, 8405, 3700, 3205, 9526, 4202, 5720, 8844, 1835, 1792, 4263, 8452, 1863, 1418, 5739, 4477, 5494, 1590, 8445, 3326, 3268, 5097, 8495, 5077, 2896, 8215, 4801, 1744, 4629, 5322, 787, 6058, 3673, 1745, 1232, 1185, 6401, 8062, 214, 1611, 2341, 4308, 4603, 3203, 3686, 7318, 6384, 5832, 6344, 255, 3843, 5608, 4411, 7929, 1102, 566, 1819, 338, 5101, 8119, 2444, 2415, 6347, 4398, 4087, 2730, 2519, 2109, 3402, 8802, 2805, 9345, 2701, 1094, 7426, 4638, 3007, 4409, 7654, 4427, 2186, 4996, 5952, 8080, 5827, 1234, 2204, 9028, 1885, 2563, 3708, 4364, 9328, 858, 2783, 1562, 4231, 4823, 3477, 7178, 216, 1442, 1827, 2821, 7585, 222, 2624, 8581, 7420, 824, 7885, 3257, 2482, 6924, 3961, 1847, 8126, 1247, 1751, 5490, 3314, 5328, 7351, 8444, 6411, 797, 2108, 5207, 4461, 9145, 4204, 7284, 8102, 3169, 9494, 1925, 9082, 8189, 992, 7646, 7452, 6815, 2322, 7001, 9413, 3630, 1291, 2137, 6424, 389, 2874, 9071, 1000, 6614, 7961, 4639, 3018, 7569, 231, 4299, 2912, 7822, 2032, 5610, 8958, 7411, 6333, 9251, 5724, 4572, 6879, 6205, 3623, 1016, 387, 8231, 5072, 840, 9922, 3554, 3793, 136, 3783, 5755, 650, 6531, 6944, 723, 8429, 6314, 1275, 8457, 6466, 7273, 8903, 4200, 1536, 2814, 2340, 3646, 9872, 4652, 8023, 3023, 5088, 8115, 4447, 7313, 5365, 8381, 2210, 6390, 6715, 5561, 9550, 3162, 9489, 5586, 8001, 1620, 6722, 6336, 5096, 6047, 9725, 7515, 8640, 3449, 5500, 8674, 8240, 101, 1038, 2856, 9620, 317, 1390, 5979, 1564, 3610, 9310, 4062, 3576, 50, 6725, 6720, 7650, 7672, 1266, 1456, 6806, 7068, 1522, 7114, 3116, 1050, 8912, 3233, 7158, 8274, 1732, 8624, 3118, 6206, 3137, 2129, 9198, 183, 8548, 9032, 9050, 6833, 35, 8366, 4082, 9280, 1733, 3956, 2357, 1716, 2594, 3499, 9712, 5634, 3163, 2762, 1130, 8120, 8530, 899, 1565, 6714, 9565, 4248, 7335, 4467, 4, 9104, 4105, 9678, 4615, 1721, 4788, 9717, 6050, 6115, 5665, 9466, 491, 6180 ], [ 5129, 4465, 1557, 9157, 416, 611, 2226, 9877, 841, 8512, 7538, 9657, 1869, 6220, 3002, 1231, 6464, 7884, 9343, 5247, 6585, 6935, 6174, 9544, 9424, 6716, 9293, 9844, 3904, 9320, 8772, 2744, 1617, 1805, 1133, 8409, 7694, 9533, 1081, 7532, 5009, 2767, 9391, 5867, 9654, 7002, 1989, 6326, 5801, 9847, 5133, 1001, 2075, 5814, 262, 8337, 4574, 1756, 8814, 8793, 6817, 1250, 5583, 4857, 6939, 391, 5987, 8995, 7702, 666, 7266, 6588, 7740, 4316, 737, 3751, 6541, 4050, 6675, 7181, 1665, 1004, 8594, 9160, 5669, 1950, 7687, 8961, 1920, 5117, 3675, 8631, 5122, 6745, 8040, 7046, 8883, 52, 5463, 2600, 7839, 197, 6654, 5399, 9074, 6941, 1279, 2307, 4966, 9233, 5693, 1537, 9486, 4190, 4045, 9014, 3353, 7813, 8592, 8481, 3248, 5150, 1474, 4845, 5250, 4695, 9538, 4641, 5535, 3539, 7126, 162, 9900, 2161, 1883, 3225, 8528, 4495, 8767, 1214, 3591, 2653, 1528, 8076, 9568, 4270, 8226, 3202, 9237, 5199, 1705, 6290, 4356, 9604, 5309, 6601, 134, 9308, 5198, 6607, 7005, 912, 6840, 3727, 3237, 3424, 7308, 1833, 2939, 8438, 2839, 493, 4086, 4855, 6891, 4481, 18, 1148, 3103, 2544, 1783, 1469, 7197, 4126, 6222, 7109, 2296, 1944, 4734, 5685, 7468, 7462, 7326, 4514, 8427, 3077, 1978, 8875, 7718, 7119, 1408, 4416, 2315, 8959, 1026, 5704, 5774, 7826, 7772, 4240, 6496, 4666, 4531, 3874, 6707, 6403, 6719, 294, 9704, 4594, 5453, 240, 6794, 6008, 7261, 630, 3950, 6717, 6894, 861, 3527, 1627, 4039, 3869, 1069, 2005, 3444, 6557, 2985, 4059, 4084, 8051, 73, 4818, 9859, 3144, 4832, 3845, 9474, 5291, 6242, 7328, 3038, 8094, 3376, 7361, 4959, 4555, 5936, 5511, 7279, 7613, 9756, 2632, 6823, 5778, 7380, 4027, 5805, 8851, 3254, 519, 5058, 2838, 6415, 6442, 4625, 4610, 9217, 1108, 732, 2414, 3939, 9269, 8433, 6118, 3272, 5763, 6509, 2582, 8997, 3458, 7505, 7601, 6615, 1024, 5396, 7837, 6628, 2873, 77, 4191, 724, 5661, 6042, 5192, 8813, 38, 2745, 7378, 7460, 2369, 6595, 3851, 39, 9268, 9714, 8326, 9532, 7122, 7963, 9151, 7607, 3036, 507, 6412, 5777, 5702, 935, 7424, 3487, 8992, 3848, 4290, 6211, 3730, 2567, 9146, 7683, 4820, 6521, 7106, 213, 7443, 7407, 8923, 6452, 2527, 3274, 4510, 3615, 7937, 562, 6177, 2330, 2251, 3252, 164, 5917, 3498, 2543, 9803, 8267, 2988, 9240, 5276, 8891, 6471, 7363, 9853, 9360, 6635, 9066, 5792, 7207, 3850, 9524, 4497, 2124, 6622, 5983, 576, 5306, 5289, 8282, 1393, 2549, 7994, 2329, 8131, 4871, 1146, 2249, 1896, 1138, 152, 2223, 7966, 8313, 4171, 7447, 7342, 1995, 5340, 9042, 5569, 9083, 2255, 4885, 586, 2402, 2331, 1924, 816, 2240, 459, 4733, 2952, 8045, 3819, 1217, 5831, 2020, 7625, 2649, 5945, 8673, 7590, 5120, 4523, 4774, 4539, 5938, 7892, 4766, 1918, 4257, 3460, 4284, 7941, 6434, 3287, 7870, 7667, 950, 4498, 4776, 818, 9782, 8853, 4362, 2448, 1336, 2808, 9734, 9471, 8335, 4053, 150, 9364, 4813, 4445, 1640, 7166, 185, 6726, 6826, 476, 9878, 4763, 9333, 4944, 2231, 3431, 482, 446, 9461, 3332, 2669, 79, 2671, 3513, 5339, 1273, 5522, 510, 4710, 5217, 6927, 5073, 9564, 7091, 1468, 6418, 8425, 1966, 7556, 305, 9964, 4945, 7551, 8212, 3188, 9603, 4321, 8393, 5067, 4320, 7916, 9012, 8078, 3132, 6958, 7816, 3292, 5745, 9209, 3071, 9306, 2116, 1411, 5415, 3464, 6544, 4228, 4397, 461, 4668, 133, 6914, 7105, 6808, 9348, 627, 8096, 6581, 4182, 8852, 4181, 4076, 2524, 3227, 4633, 3190, 7430, 8447, 6495, 9595, 1755, 9936, 5882, 356, 7437, 5126, 9816, 5288, 8773, 5968, 9388, 5911, 8167, 6124, 9243, 6099, 8782, 6259, 4890, 1971, 2832, 9274, 1931, 1841, 2981, 4848, 5440, 6847, 2183, 2506, 1855, 5768, 6123, 6179, 1749, 8336, 2230, 5677, 367, 1685, 730, 7276, 5386, 9219, 3811, 6359, 624, 1718, 2276, 5060, 7622, 2791, 9358, 8797, 8994, 8755, 8537, 3785, 4309, 5238, 9417, 3702, 6940, 9492, 3705, 8805, 3842, 2002, 8687, 8670, 4559, 2176, 7570, 7159, 9383, 1501, 7040, 3545, 9583, 34, 7901, 3389, 2813, 7509, 6486, 5436, 2812, 4440, 8792, 4067, 9582, 5466, 5267, 745, 7212, 2529, 6896, 4851, 7003, 6467, 707, 6661, 5222, 7259, 7145, 3204, 3697, 9262, 6564, 8225, 742, 9940, 8967, 945, 56, 1434, 7739, 8577, 8606, 4512, 5622, 351, 6594, 1807, 835, 1164, 2710, 5360, 9904, 1338, 8306, 3056, 7972, 9680, 1709, 131, 5335, 3166, 3093, 9512, 4866, 1668, 5901, 6769, 5330, 249, 9661, 9696, 558, 1369, 659, 9080, 1145, 413, 9132, 546, 2358, 1462, 3422, 3253, 2070, 4013, 8736, 867, 4139, 8661, 2990, 5119, 3371, 9342, 2785, 4487, 337, 385, 1739, 9054, 1053, 5539, 5998, 9048, 6426, 3798, 1314, 9442, 8554, 8407, 7154, 4049, 4783, 4627, 695, 7394, 9167, 8491, 6575, 2263, 9244, 1286, 7930, 1292, 3641, 210, 4492, 4841, 9123, 9408, 3234, 8092, 2080, 4069, 4709, 5556, 8490, 9605, 3401, 1846, 512, 3583, 5960, 1645, 1996, 7788, 3219, 6292, 467, 252, 8973, 628, 4834, 817, 802, 7185, 4005, 2493, 9507, 525, 110, 6604, 6396, 588, 9792, 9483, 7671, 8431, 4175, 3984, 7000, 9007, 5052, 8575, 5137, 49, 6512, 2803, 4224, 8971, 6947, 4835, 4550, 6316, 7992, 4125, 7415, 6198, 5484, 2786, 8562, 2880, 6978, 7128, 953, 9644, 9022, 7709, 4238, 2042, 4003, 6667, 6874, 9551, 3770, 9427, 9214, 9330, 9443, 5697, 8706, 4726, 2753, 3418, 826, 7070, 9059, 6617, 76, 7953, 4826, 6508, 8252, 287, 1224, 616, 2719, 8503, 5257, 3201, 6796, 8727, 9380, 3906, 8435, 1316, 9384, 2620, 1484, 6510, 6343, 9686, 9316, 3399, 2739, 9334, 6119, 8850, 881, 9290, 1424, 716, 9359, 9023, 2064, 386, 9710, 3618, 4236, 7035, 4564, 2699, 7042, 985, 3142, 4484, 6420, 2788, 6229, 5589, 4553, 5390, 7044, 2804, 5258, 3373, 8861, 5991, 2355, 2655, 4821, 3273, 3003, 5820, 7216, 8756, 8735, 297, 5227, 9780, 8349, 4134, 1507, 5619, 4414, 5153, 8837, 6514, 8325, 9632, 7745, 3763, 2155, 891, 4687, 9485, 3280, 4753, 7491, 7735, 9960, 1810, 7381, 6623, 9961, 9201, 6194, 345, 7974, 6009, 4926, 2063, 9643, 9264, 9665, 901, 7215, 9903, 538, 1465, 6905, 1070, 8888, 8365, 2964, 4943, 4596, 7143, 1726, 8506, 5163, 3459, 9402, 3559, 5275, 9581, 3491, 7978, 4065, 1652, 3969, 2239, 9366, 9652, 4435, 4473, 6787, 6948, 1337, 1988, 8637, 6255, 2973, 6435, 4358, 5682, 1700, 8521, 372, 2243, 1062, 2379, 799, 1875, 481, 3565, 9973, 7072, 4232, 68, 5706, 6327, 2613, 97, 7879, 2050, 9203, 8718, 1183, 6369, 3990, 9460, 6129, 9676, 5261, 6024, 9952, 1839, 827, 2558, 3196, 7188, 8876, 1903, 9101, 8647, 7830, 2326, 2629, 4152, 8698, 477, 8980, 8008, 4508, 7138, 9178, 2996, 7025, 1100, 1532, 1563, 1874, 7, 1397, 9955, 9398, 8025, 7116, 309, 7184, 6465, 7058, 1928, 5454, 7163, 812, 5319, 6170, 6646, 4357, 5944, 6677, 6185, 7385, 8111, 8273, 4676, 7156, 565, 5627, 8531, 8825, 6340, 9272, 4306, 5927, 8473, 5969, 7312, 8145, 2091, 6388, 8291, 3357, 8988, 9352, 2734, 2173, 6909, 836, 1623, 9482, 2205, 9852, 8500, 6284, 9764, 9501, 7752, 82, 1815, 5458, 8081, 2003, 4973, 6964, 3473, 3152, 5476, 2288, 4403, 5055, 4861, 7419, 4210, 3104, 3164, 7789, 590, 4741, 7275, 9945, 5255, 6904, 7577, 2982, 1736, 2728, 3849, 4790, 3408, 8341, 6281, 4351, 5616, 2362, 6444, 7787, 1633, 425, 6816, 6107, 7619, 5212, 7130, 9382, 4691, 8057, 9618, 7817, 4516, 7096, 8565, 7923, 7409, 276, 967, 1712, 7620, 9051, 5498, 980, 6011, 5483, 1074, 5497, 2673, 2892, 1742, 2801, 4883, 7565, 9110, 5381, 3157, 5752, 7555, 4782, 9612, 3547, 3915, 4828, 7448, 7520, 1750, 7283, 3420, 1983, 9684, 6999, 1290, 8620, 8816, 4667, 4894, 9407, 4218, 1204, 6416, 7053, 1446, 8235, 6297, 8836, 1437, 8003, 8015, 1729, 6331, 5587, 6372, 6210, 2030, 3937, 921, 6378, 9253, 8979, 8030, 5746, 622, 9694, 2456, 4935, 5978, 7809, 7492, 3530, 2855, 2823, 8138, 2200, 9105, 9909, 2654, 6040, 8363, 9445, 4746, 9888, 6323, 4037, 4747, 2811, 2872, 7393, 8377, 324, 28, 8664, 4879, 1149, 6397, 7015, 5146, 8406, 556, 9735, 8061, 9584, 2472, 45, 4521, 7896, 4124, 193, 8091, 2775, 6088, 5647, 2321, 2987, 6014, 1616, 6182, 1334, 6256, 8451, 244, 8055, 3086, 2566, 6061, 1628, 3529, 8259, 3107, 2282, 5977, 2894, 5642, 3405, 9009, 221, 8245, 8536, 3784, 8898, 5764, 7621, 5737, 6501, 4867, 9092, 7507, 6704, 8248, 4034, 9142, 3820, 8071, 4680, 5422, 7829, 2959, 7083, 5532, 5110, 3485, 6238, 5337, 4600, 6249, 2343, 2957, 7340, 3687, 851, 5142, 5280, 7635, 8893, 5842, 4266, 7235, 4872, 3657, 831, 1191, 1731, 715, 1431, 4221, 6015, 4393, 4233, 969, 6010, 6882, 9709, 8202, 7668, 8545, 2534, 7719, 9629, 3470, 8400, 2991, 1797, 7202, 6852, 7856, 1086, 2541, 9138, 2420, 1821, 7306, 1243, 1801, 850, 7475, 7618, 6250, 7581, 1992, 7939, 109, 2897, 5431, 1743, 9910, 3608, 5378, 2157, 9625, 5203, 6966, 2151, 6908, 4092, 4991, 5305, 7874, 7864, 7026, 2546, 4451, 7699, 6233, 5409, 3624, 7862, 8524, 8106, 2490, 9349, 4536, 620, 3676, 3062, 8392, 1844, 4283, 7657, 3522, 6536, 4147, 7851, 1467, 320, 2310, 8403, 5600, 2383, 4080, 241, 928, 5636, 9838, 551, 1740, 8962, 972, 2942, 5014, 7148, 3149, 2545, 9554, 648, 3128, 6445, 5722, 4292, 3602, 7881, 3014, 7727, 364, 7686, 2433, 5294, 6721, 137, 9663, 6005, 2955, 527, 8871, 7454, 6984, 6386, 3660, 306, 6519, 7325, 5788, 2847, 830, 2403, 3346, 5637, 6405, 6364, 5747, 37, 6417, 6814, 5108, 3434, 7828, 7179, 667, 8122, 3123, 2072, 3489, 8124, 7715, 1990, 3461, 8404, 93, 8136, 3027, 7995, 2419, 5951, 9913, 7540, 2370, 3313, 2177, 5545, 4188, 9515, 1915, 408, 7630, 7162, 910, 4611, 7771, 9911, 4882, 8801, 6506, 9653, 9926, 7776, 6404, 7405, 5920, 6278, 5369, 1430, 7182, 4701, 8982, 2123, 5663, 3069, 9300, 5716, 5548, 6184, 9778, 7866, 2121, 3682, 7132, 1264, 8595, 8740, 3571, 2768, 7641, 5662, 2732, 7795, 9239, 1657, 2618, 8908, 1293, 2067, 5191, 2051, 248, 6642, 5477, 3356, 8960, 1433, 4869, 7496, 5934, 2244, 8342, 3972, 660, 9008, 7791, 1706, 6730, 1943, 1361, 2029, 1281, 163, 9962, 3931, 2387, 9317, 9170, 6932, 5547, 483, 8738, 736, 6949, 5766, 3520, 9891, 2780, 4903, 6563, 8725, 9801, 3270, 4354, 8743, 3654, 6308, 6199, 9908, 470, 4237, 6104, 9095, 6175, 5206, 5659, 9628, 9862, 7636, 813, 5373, 3240, 1618, 6366, 1409, 3523, 6311, 790, 5975, 2082, 6592, 2077, 9261, 5939, 9258, 5462, 6135, 2044, 6492, 5534, 1461, 6890, 3182, 780, 4622, 6773, 8703, 9938, 4091, 5433, 2933, 8677, 7303, 9315, 9324, 9172, 7320, 5405, 1320, 7614, 915, 2346, 1066, 8483, 4119, 5994, 9839, 2664, 5451, 9084, 1323, 2212, 9943, 5118, 368, 930, 973, 8921, 7489, 8134, 6431, 5157, 3832, 7786, 2747, 9592, 173, 785, 2842, 8501, 7578, 7177, 8602, 782, 7510, 4068, 6845, 9785, 3267, 9662, 1033, 8571, 261, 6523, 6962, 1871, 1603, 4552, 2422, 2303, 1771, 8749, 8651, 5873, 4762, 9675, 7545, 6217, 2180, 2882, 8415, 1349, 1063, 9976, 9953, 9948, 9683, 2579, 7140, 4031, 2450, 3712, 8311, 8316, 6053, 4937, 1964, 9069, 5215, 6317, 4642, 1415, 5338, 9368, 3800, 8974, 6234, 6579, 2172, 4518, 2115, 4556, 6097, 4724, 1059, 1387, 5897, 4476, 3546, 4707, 382, 7384, 6901, 7484, 2046, 14, 4934, 5499, 5283, 2407, 6537, 2363, 9505, 6755, 868, 7764, 2928, 6145, 6096, 9727, 8505, 2743, 7759, 1884, 5346, 2565, 2879, 9954, 6795, 2936, 2688, 5004, 5880, 5859, 5059, 9141, 4787, 2641, 8542, 8171, 7632, 5843, 5604, 4730, 7472, 4381, 3651, 1239, 388, 2313, 6208, 6102, 5402, 7783, 3341, 1914, 319, 6963, 4899, 1880, 7345, 235, 1450, 5723, 4938, 5156, 6943, 7297, 8398, 3001, 3621, 2504, 5844, 4576, 5822, 7780, 6799, 7525, 7332, 1688, 2661, 8223, 7627, 8969, 4110, 2755, 1954, 7436, 6864, 196, 8885, 5719, 3801, 6511, 5734, 6954, 1099, 5605, 6201, 2581, 3156, 1357, 1219, 4311, 1417, 6671, 3768, 8547, 7225, 7964, 7891, 9946, 4736, 1213, 9971, 4048, 3883, 1524, 653, 4933, 4597, 3430, 3891, 5856, 8839, 7981, 3059, 3412, 6081, 7693, 8132, 5195, 3303, 6066, 4122, 9135, 4199, 7480, 8089, 1047, 7206, 2826, 9312, 536, 4047, 4547, 3019, 5430, 9181, 9693, 4058, 3863, 2993, 474, 6228, 1258, 6349, 661, 6272, 7724, 271, 4163, 4055, 8925, 6368, 5350, 6554, 1765, 2486, 9041, 5909, 2285, 2536, 9870, 6504, 5946, 1516, 206, 212, 7497, 7938, 3603, 1889, 6245, 614, 7317, 7775, 5694, 815, 626, 5292, 8607, 1188, 5972, 9659, 6183, 9204, 1856, 6274, 3293, 4529, 8828, 4334, 1666, 3261, 8270, 8146, 9378, 9658, 9433, 7631, 2178, 3440, 9919, 1317, 7152, 6746, 7365, 4251, 4036, 5068, 2974, 4984, 4077, 7629, 2025, 6095, 2279, 8367, 6172, 8544, 5310, 3021, 5554, 592, 6151, 7748, 6960, 9396, 394, 8937, 260, 7438, 1299, 3391, 9588, 8246, 2203, 8329, 4620, 5048, 809, 3794, 7310, 2963, 1160, 6637, 7854, 8460, 3109, 5007, 9221, 7945, 4618, 6695, 4527, 6743, 6060, 1470, 2097, 9397, 6603, 169, 9289, 7777, 8142, 5825, 8021, 5218, 8829, 8785, 7860, 5084, 9438 ], [ 5221, 9120, 8141, 923, 7905, 6781, 4585, 5803, 7831, 3786, 3456, 3899, 6266, 4324, 2934, 3302, 5570, 8275, 9848, 7086, 4388, 8319, 5680, 8074, 5201, 3180, 2417, 3197, 7440, 7824, 8395, 6267, 4650, 1420, 5810, 3040, 2473, 4846, 2411, 4532, 9102, 936, 3290, 8957, 1808, 7592, 860, 4584, 9332, 2012, 4542, 8684, 5690, 3355, 6693, 8128, 2194, 9939, 516, 7262, 2344, 2691, 6241, 5443, 2500, 3810, 4056, 8722, 2270, 3822, 7737, 7203, 6189, 1607, 2073, 5630, 5671, 2367, 9301, 4870, 7769, 7445, 1326, 3329, 6036, 5070, 1324, 2970, 9441, 333, 3831, 4250, 9742, 7609, 7172, 3954, 2852, 380, 5172, 8087, 4515, 9821, 4758, 1631, 4567, 9356, 2219, 6968, 4581, 4549, 2859, 8052, 4141, 1304, 7155, 4153, 1984, 4331, 5441, 2761, 8917, 8983, 9541, 9119, 254, 5446, 530, 8737, 81, 1800, 1569, 2954, 2512, 4178, 9572, 4103, 8031, 256, 5954, 1702, 2166, 9640, 8117, 7404, 9707, 1878, 8251, 900, 209, 9510, 3694, 689, 4328, 9495, 1055, 8650, 1152, 2441, 7531, 6003, 358, 8253, 4396, 2983, 1454, 3419, 4421, 5268, 9371, 6899, 4064, 753, 3052, 3092, 5411, 561, 1513, 7410, 1335, 7037, 5633, 7499, 6783, 2827, 779, 9087, 7346, 8605, 3744, 3823, 281, 3714, 6747, 6907, 6380, 192, 5591, 5002, 2302, 2347, 2619, 8331, 6163, 4010, 1315, 5760, 268, 6447, 2772, 1933, 6307, 9925, 8295, 9478, 9247, 1862, 6091, 7108, 9589, 8320, 8176, 3307, 1638, 3898, 7616, 8662, 4293, 9998, 3557, 7858, 6740, 267, 4658, 9775, 7104, 1737, 2754, 6992, 3445, 2218, 2156, 479, 4995, 8622, 7274, 7863, 6100, 1403, 6361, 1500, 3677, 3717, 5883, 2295, 9143, 3636, 633, 8068, 9220, 4654, 6176, 2978, 3897, 1953, 8322, 568, 8283, 7833, 5224, 5709, 9757, 8821, 9439, 9296, 2793, 6892, 9866, 4519, 105, 2800, 6793, 9749, 4580, 3100, 3808, 2105, 3359, 2036, 1120, 8067, 418, 9997, 26, 2944, 5941, 6710, 99, 3195, 2633, 3221, 1641, 4155, 1635, 6785, 1494, 5887, 1157, 8353, 8314, 6663, 3648, 1828, 5900, 4715, 1809, 7714, 4824, 1608, 4906, 1710, 845, 1929, 4192, 9106, 6303, 4113, 2578, 94, 1136, 2153, 7846, 1261, 8006, 5154, 7793, 9519, 7398, 1253, 8847, 7241, 2561, 8193, 9297, 1205, 9124, 4261, 4408, 7857, 5513, 177, 6566, 958, 7820, 9864, 4330, 6681, 3589, 5947, 4684, 6979, 2299, 1776, 8220, 8774, 9869, 2961, 852, 9850, 6481, 3352, 564, 4322, 3749, 5869, 1186, 9487, 6763, 6897, 6782, 2060, 4278, 8884, 9107, 1663, 3131, 8140, 8293, 8410, 3617, 8318, 6970, 1542, 6665, 9469, 4430, 9156, 4179, 1134, 9929, 4042, 3720, 5558, 6662, 9113, 619, 880, 9435, 9721, 8155, 7173, 9902, 9213, 2967, 9429, 6953, 3916, 3923, 3285, 869, 7700, 9215, 2494, 3959, 7658, 189, 4975, 8519, 9049, 6636, 2806, 5459, 3695, 4280, 8296, 1246, 5980, 7150, 1660, 5652, 734, 6850, 4738, 6033, 3256, 3368, 1601, 9860, 8369, 1531, 2977, 1571, 1093, 1779, 8378, 966, 7165, 5304, 375, 247, 3442, 1879, 7666, 5240, 463, 3606, 3457, 1296, 1156, 3548, 7968, 2283, 8029, 7370, 4437, 7861, 8309, 2492, 2540, 8523, 8440, 1257, 4471, 7711, 3055, 6551, 6436, 1715, 2555, 1180, 879, 5286, 2638, 2412, 8642, 1974, 1503, 1548, 1375, 5903, 286, 1913, 6770, 4743, 688, 5345, 8970, 731, 6718, 6338, 8648, 9134, 6221, 1008, 6542, 3043, 4271, 9539, 1181, 1510, 7439, 513, 42, 7418, 1412, 242, 5565, 2510, 127, 7523, 3647, 5714, 9600, 3787, 7552, 5606, 905, 2840, 4833, 7855, 9347, 9825, 8655, 8807, 942, 3022, 6385, 9923, 7932, 9703, 3042, 6494, 1615, 9761, 3729, 4455, 3637, 7951, 3304, 8036, 832, 4575, 3764, 2406, 3479, 2048, 9671, 1845, 2418, 454, 4287, 2908, 1103, 5423, 4964, 1124, 2224, 5870, 6022, 6925, 6427, 1051, 6540, 4863, 2723, 9065, 8905, 330, 321, 5957, 795, 7471, 6863, 2735, 9265, 3639, 1720, 7894, 7779, 9031, 6265, 9361, 6827, 5266, 5815, 7304, 8090, 9144, 2098, 1025, 5674, 403, 759, 4489, 7019, 7360, 932, 4749, 3008, 8196, 3662, 6902, 5648, 9446, 3536, 5885, 2196, 3821, 870, 5695, 1961, 2809, 5064, 4777, 5165, 2531, 8434, 9490, 6952, 6098, 3325, 8174, 949, 1786, 706, 2401, 7107, 2484, 4149, 1245, 20, 2782, 5614, 1137, 8151, 2374, 5937, 4678, 5595, 7160, 2010, 1167, 7423, 1248, 1049, 9046, 5868, 6382, 1604, 8613, 4712, 9760, 3668, 6204, 4952, 7485, 9154, 8418, 2181, 2286, 4685, 6191, 7850, 658, 7516, 259, 5599, 357, 3317, 184, 9720, 9915, 9871, 5851, 5149, 6270, 8976, 784, 7219, 1312, 6766, 6593, 4719, 9741, 8268, 3835, 6989, 3678, 4201, 5667, 3266, 6611, 4406, 8204, 6355, 994, 1581, 4504, 9010, 9236, 3173, 8676, 3082, 1201, 4463, 8263, 8914, 1405, 8753, 6475, 9681, 4696, 3048, 531, 9674, 2522, 9405, 2831, 7872, 8882, 3948, 7201, 7078, 8533, 5781, 2264, 8619, 322, 2945, 5016, 6618, 6181, 7626, 3628, 1790, 1559, 3549, 7168, 1079, 7190, 1699, 433, 7942, 6162, 1911, 7696, 7414, 9027, 3754, 2615, 1795, 2752, 3447, 2195, 2979, 2470, 5301, 5858, 7397, 4342, 6457, 5057, 3814, 3854, 4702, 6648, 9473, 4563, 8109, 5921, 4794, 1868, 1321, 9984, 7983, 3394, 4931, 3736, 2588, 2465, 6702, 9448, 7350, 4936, 5234, 9363, 6484, 6187, 8596, 5728, 9451, 1837, 4254, 7533, 5479, 4264, 2665, 6068, 4745, 1527, 2958, 1113, 8060, 3707, 7899, 7716, 9415, 6147, 5691, 4335, 872, 4315, 9192, 3482, 1967, 7821, 5982, 6930, 3005, 3105, 2593, 6275, 4279, 5848, 2162, 5618, 6750, 186, 158, 5861, 8561, 925, 3286, 6854, 9771, 7483, 4989, 3900, 4220, 9667, 9399, 1128, 7768, 9374, 8334, 8351, 2776, 7617, 2750, 5480, 2630, 7408, 2083, 2323, 3000, 9983, 8849, 293, 2683, 7260, 8018, 2037, 1897, 8699, 7770, 609, 1649, 6041, 488, 7174, 6703, 3691, 1366, 9521, 8630, 3296, 8811, 7602, 904, 7758, 4460, 2877, 4717, 2886, 1036, 3231, 5812, 3159, 9013, 3067, 7900, 6406, 2445, 7446, 3446, 4802, 7427, 3859, 1703, 1876, 5069, 2179, 4159, 3242, 8658, 8256, 7217, 7316, 1106, 3739, 5818, 5698, 3946, 9191, 4661, 1486, 6080, 9015, 4714, 8277, 2007, 8498, 7895, 4645, 500, 6149, 5168, 9047, 4135, 6422, 9660, 6271, 6797, 3488, 6626, 4144, 5037, 5963, 5233, 4021, 9249, 3322, 9497, 8639, 5296, 2229, 1175, 7935, 796, 1831, 9190, 9867, 334, 7811, 4748, 6768, 2213, 5425, 7582, 6706, 8104, 3877, 5798, 683, 5567, 198, 7295, 7076, 5185, 3890, 1965, 2324, 275, 9404, 6652, 8465, 4677, 4520, 8820, 885, 3106, 7387, 5686, 8899, 3153, 4809, 2452, 5397, 402, 8416, 3847, 2170, 6630, 5914, 864, 1629, 3865, 4006, 8759, 5001, 3410, 3039, 3148, 6402, 6330, 9579, 2635, 6633, 5875, 5550, 6138, 1340, 1941, 2198, 2685, 7135, 4097, 9245, 2460, 3455, 2361, 9326, 144, 1090, 3761, 63, 5826, 8990, 7823, 684, 4349, 4121, 272, 4812, 9283, 9597, 1599, 226, 9118, 8428, 1610, 6546, 2208, 8868, 8919, 2509, 3451, 6779, 1600, 2515, 3562, 5179, 2228, 6680, 3901, 2858, 1949, 7514, 145, 4771, 697, 8097, 1979, 4915, 1517, 9187, 4245, 4018, 3279, 2364, 4541, 8712, 1866, 6306, 1798, 3125, 9355, 7369, 8101, 5460, 7006, 9705, 3327, 9585, 740, 9981, 6933, 8479, 8765, 3680, 2848, 7041, 5211, 811, 6288, 5531, 6159, 9793, 4898, 6004, 4104, 582, 3731, 7803, 7685, 2828, 8317, 2947, 8203, 4028, 3837, 2485, 7692, 2708, 6357, 8902, 475, 245, 7242, 1021, 8169, 5417, 4698, 5331, 8228, 8996, 2975, 5738, 3047, 3468, 3044, 8834, 8653, 3081, 8044, 6950, 7757, 686, 8786, 6057, 6443, 1728, 9304, 6059, 2235, 1308, 7204, 4480, 5379, 6880, 8028, 7544, 5062, 581, 1873, 7529, 1280, 6342, 3983, 1741, 7064, 9885, 8129, 1722, 32, 1823, 8941, 5449, 3382, 9476, 9670, 2250, 8185, 6976, 1942, 3584, 2656, 6295, 8358, 3338, 3191, 4965, 7377, 9956, 2857, 5823, 6669, 312, 8373, 5256, 4482, 5177, 6934, 5162, 8591, 8628, 9531, 3224, 9861, 5424, 7286, 8889, 9088, 6285, 1098, 3075, 3769, 6235, 7688, 9506, 5613, 2008, 9491, 8370, 9856, 3187, 7572, 6738, 8386, 332, 2950, 1834, 6771, 7589, 6112, 2771, 2297, 6792, 5584, 948, 934, 218, 6969, 2577, 8105, 7701, 224, 4116, 5932, 3429, 9921, 5282, 153, 1692, 422, 3098, 4303, 3300, 1573, 9162, 9464, 5018, 1814, 3278, 7594, 8161, 2103, 6019, 3582, 7291, 3957, 8148, 7093, 9906, 456, 6387, 596, 4212, 552, 8563, 3094, 3350, 3494, 2373, 9267, 9238, 6092, 120, 5333, 100, 207, 896, 1962, 2709, 4063, 9542, 3511, 693, 2925, 486, 6550, 9403, 855, 3078, 6070, 1216, 480, 5515, 4693, 318, 8059, 6530, 6117, 9309, 2014, 6139, 5712, 1680, 419, 2386, 9444, 7871, 2467, 843, 9426, 1206, 1923, 7029, 60, 1356, 629, 9112, 7814, 3235, 3453, 6045, 485, 342, 7558, 4608, 6647, 6367, 7051, 6658, 8598, 2066, 7921, 7474, 888, 4060, 5769, 8972, 4493, 7732, 7067, 598, 2530, 774, 5025, 7433, 7571, 2764, 6034, 4583, 9883, 7680, 2191, 1346, 4365, 2122, 2553, 3370, 5538, 8304, 8486, 2356, 7075, 651, 9137, 2435, 4728, 6408, 13, 2662, 1654, 2502, 8307, 166, 9571, 9000, 728, 1690, 6389, 200, 9314, 772, 4987, 3409, 8175, 3305, 3263, 326, 1804, 2095, 5658, 284, 1209, 457, 8077, 2595, 5794, 4548, 9230, 8352, 4690, 5312, 1242, 6929, 7463, 1769, 2742, 687, 3074, 2184, 5673, 3512, 9617, 2388, 6866, 3319, 7227, 9038, 7778, 4653, 5143, 2382, 7836, 313, 8114, 6056, 9781, 2427, 7362, 4090, 3120, 5806, 1891, 3698, 5701, 3130, 2758, 5406, 3407, 5010, 5779, 6360, 9668, 7412, 1637, 1849, 2127, 4772, 4907, 3732, 9622, 7092, 2141, 4617, 4378, 8582, 5230, 823, 1774, 725, 8791, 9795, 2338, 7244, 1935, 8806, 4449, 2058, 7804, 5385, 1192, 1464, 2499, 1681, 9286, 6807, 5363, 9758, 5047, 7805, 3004, 8946, 5384, 7519, 6028, 5931, 7580, 2884, 3997, 6641, 8408, 1076, 7194, 8936, 3977, 8238, 6951, 6990, 5091, 1704, 4241, 1632, 5021, 7476, 579, 8284, 3803, 3179, 6038, 1653, 5352, 7762, 7691, 7218, 3980, 9341, 8612, 6362, 2864, 8635, 6074, 3031, 9548, 2863, 5293, 5562, 3949, 615, 4723, 492, 9062, 806, 1396, 1598, 2721, 352, 3802, 5232, 1747, 8443, 5555, 5388, 1269, 8555, 9406, 5544, 7698, 2284, 8751, 1813, 2740, 4791, 5840, 2339, 7233, 3209, 3753, 4079, 6017, 1385, 4219, 4002, 7305, 8290, 113, 7659, 9950, 1937, 4363, 5741, 702, 2971, 2094, 4431, 7976, 8197, 572, 6881, 5447, 1555, 2458, 3411, 5809, 495, 2889, 3535, 3940, 8382, 5821, 1077, 9857, 3316, 9722, 6988, 1991, 4386, 6065, 7588, 4368, 1198, 7796, 106, 7211, 2725, 7010, 7576, 9685, 9817, 9590, 8397, 4648, 1057, 8294, 2128, 5426, 1019, 5358, 7442, 960, 7537, 1763, 2413, 2164, 1820, 6168, 2311, 7368, 6482, 4225, 2765, 9202, 227, 5403, 9152, 4130, 9467, 2163, 1445, 7089, 9586, 104, 8668, 2702, 3963, 8568, 2446, 5772, 7251, 1341, 114, 7690, 5285, 951, 9416, 4230, 4392, 7453, 3632, 7210, 3236, 1796, 30, 292, 2572, 6549, 6324, 9647, 1481, 8629, 7127, 2921, 2102, 3791, 2125, 5672, 3500, 6571, 8350, 3827, 5131, 2135, 3855, 46, 1274, 142, 4377, 3088, 5078, 4589, 5364, 2797, 3684, 5183, 3982, 9751, 6759, 2479, 8689, 7307, 4704, 3710, 8692, 1551, 478, 2410, 4410, 916, 8709, 5269, 1867, 6020, 3981, 118, 3135, 2841, 4446, 6884, 4664, 8436, 1894, 1788, 637, 6605, 518, 3938, 9555, 6965, 3779, 4485, 1363, 1746, 1651, 3601, 5506, 1508, 4947, 6524, 9171, 1982, 1759, 7488, 7048, 2497, 9103, 2833, 5171, 328, 9917, 7549, 3295, 5950, 2396, 2101, 9085, 3672, 7406, 6370, 5327, 8345, 6126, 1154, 5829, 7993, 2495, 257, 7322, 4847, 1698, 3517, 3433, 441, 9702, 3015, 5020, 8364, 2457, 246, 9907, 4444, 4242, 6918, 1355, 8947, 1006, 5601, 8734, 7989, 4273, 1490, 7097, 3829, 2081, 6153, 5039, 6598, 9880, 157, 1311, 4999, 7324, 4856, 9573, 431, 3097, 4814, 6379, 3886, 1170, 6873, 2054, 8099, 9606, 7521, 4355, 7214, 1857, 766, 4054, 6064, 4623, 8953, 7526, 6076, 6870, 2209, 1084, 8375, 3484, 1963, 9222, 4075, 9053, 3920, 4095, 2132, 9279, 5725, 6190, 5510, 9194, 2560, 7230, 1673, 9254, 5387, 2247, 847, 2015, 5128, 2443, 3265, 3690, 7539, 1014, 6207, 3110, 7741, 2088, 2738, 2265, 59, 9626, 8553, 8210, 9937, 9666, 4875, 5597, 264, 6236, 4146, 1041, 9855, 4014, 8168, 4602, 4522, 7253, 1504, 6152, 8011, 4385, 7560, 1143, 5780, 8058, 8730, 908, 3879, 4765, 4988, 4285, 4960, 4120, 6018, 9560, 3030, 2870, 8022, 988, 5197, 6774, 6063, 8762, 5715, 2069, 6309, 9835, 9037, 5300, 2372, 2817, 4412, 8315, 3806, 9299, 1330, 4551, 2055, 2368, 263, 1083, 4012, 4213, 9207, 8779, 4296, 5413, 931, 5351, 2773, 1695, 9034, 4819, 2325, 1888, 2349, 5241, 1960, 7706, 9966, 9695, 2039, 1921, 5336, 3560, 4533, 8731, 4921, 1189, 5189, 7090, 1377, 5448, 9818, 8346, 7417, 9591, 6381, 8162, 6134, 2168, 6678, 2837, 8376, 4491, 4297, 8846, 4040, 1558, 5136, 1271, 9480, 7886, 7069, 2851, 993, 8789, 8100, 8810, 3155, 6291, 8798, 4148, 8966, 6610, 2569, 3448, 9223, 6913, 4277, 3117, 1588, 5841, 6723, 2621, 1574, 9133, 9256, 4752, 7765, 7825, 5205, 672, 4759, 4360, 5370, 8508, 8135, 4452, 3010, 1259, 9941, 9173, 7893, 792, 9418, 2586, 4214, 7323, 9633, 4374, 2760, 9276, 846 ], [ 1671, 6430, 8964, 7677, 1817, 5989, 8766, 1711, 749, 5993, 3577, 6945, 6030, 7882, 7918, 1730, 7947, 3892, 1458, 1605, 1144, 6224, 7750, 3645, 4289, 9100, 2905, 587, 7268, 3251, 4367, 8803, 1724, 180, 1218, 3174, 8682, 3742, 8475, 1585, 3506, 4154, 4540, 4880, 3755, 2715, 4294, 6251, 8205, 4326, 7331, 4305, 9432, 2903, 4025, 4535, 4731, 9563, 735, 9718, 8477, 5564, 8374, 8678, 5912, 1035, 8955, 6167, 2136, 316, 9730, 4302, 8330, 5231, 9030, 7111, 5552, 9887, 8299, 9322, 1443, 897, 6142, 280, 1916, 4503, 2953, 6753, 5626, 117, 2169, 1956, 8482, 4023, 6169, 6106, 3462, 6085, 70, 7248, 2606, 8693, 7652, 1289, 8763, 3534, 238, 7591, 9513, 6215, 2637, 7559, 2598, 484, 2353, 6757, 4057, 752, 4168, 7080, 8484, 9390, 5243, 8286, 8125, 4107, 6156, 3337, 2365, 4513, 6470, 1199, 6672, 3089, 1107, 2994, 5758, 4721, 9307, 1676, 3354, 2001, 2275, 8339, 6871, 6315, 6711, 2466, 448, 5324, 3521, 3250, 4295, 5854, 472, 2090, 8019, 5525, 5107, 6527, 5032, 5092, 8088, 5023, 6054, 584, 8522, 7954, 3597, 2825, 8417, 8999, 3884, 427, 4194, 2946, 694, 451, 2165, 3773, 2625, 4117, 4807, 5123, 4671, 9700, 1202, 2159, 8728, 9980, 72, 6942, 8206, 4967, 2698, 8183, 2245, 7065, 1262, 1520, 7277, 5164, 1278, 998, 9291, 2266, 5170, 4051, 5053, 8894, 778, 172, 2350, 7199, 9093, 9822, 8224, 8227, 3262, 6048, 9392, 6258, 9635, 924, 9377, 1622, 2538, 567, 4211, 5576, 2059, 9183, 2052, 17, 7264, 9372, 5776, 182, 1023, 5956, 7956, 7790, 7971, 4700, 6624, 2392, 1029, 4796, 5271, 7546, 8559, 1999, 33, 6346, 603, 8042, 7391, 7338, 3217, 299, 1354, 2689, 2393, 2463, 3181, 6264, 3193, 4958, 7401, 2818, 9255, 1241, 3805, 9744, 3598, 5456, 3880, 6154, 1785, 5178, 336, 2017, 3780, 1836, 8464, 9336, 5182, 8389, 2706, 4621, 7193, 6885, 1117, 9508, 7147, 2929, 713, 4815, 3154, 25, 8472, 8918, 3964, 4697, 4744, 559, 5578, 7653, 430, 3215, 4810, 6226, 9594, 2217, 4272, 675, 2999, 1061, 2849, 9843, 3894, 392, 288, 1534, 1642, 5740, 8845, 445, 1457, 1018, 5731, 7198, 9401, 5864, 9898, 9475, 4313, 8760, 6516, 3532, 6328, 2139, 1917, 344, 9131, 23, 6583, 882, 7819, 7528, 9698, 996, 8747, 2843, 5893, 4910, 339, 1125, 7113, 4300, 4332, 9400, 4598, 2713, 2904, 7563, 7200, 5314, 4509, 1037, 2053, 4499, 5235, 4590, 505, 2487, 8567, 3852, 3757, 1238, 4804, 4896, 3363, 937, 7669, 9509, 3504, 2537, 8507, 4909, 8043, 8764, 9234, 1398, 8688, 7043, 8796, 6655, 3271, 2254, 9969, 5974, 3540, 66, 3063, 3619, 791, 3760, 681, 2796, 8110, 7023, 9114, 7013, 7490, 3384, 5813, 955, 2221, 8449, 2611, 8414, 2663, 8107, 1166, 9631, 3218, 3718, 3398, 151, 3377, 3060, 744, 4177, 3172, 4123, 1613, 154, 554, 5100, 829, 8859, 9840, 6078, 9227, 170, 6765, 78, 4418, 5536, 3815, 2891, 7959, 8007, 1545, 893, 6685, 5024, 5767, 468, 7060, 5159, 6213, 814, 9180, 7167, 4196, 9018, 2408, 7645, 3575, 6391, 7926, 738, 1394, 4750, 9139, 2644, 617, 5655, 8615, 3308, 5389, 6148, 4925, 8569, 2425, 4601, 6733, 6936, 6456, 2574, 2631, 4795, 4184, 8710, 3581, 4454, 4404, 143, 8439, 4961, 834, 2976, 8938, 607, 9996, 2442, 3774, 5571, 6679, 3973, 2617, 4017, 3569, 5703, 9748, 7897, 3635, 3178, 1003, 225, 8368, 3387, 8216, 3965, 1519, 5320, 9184, 8978, 604, 2924, 8233, 3870, 6110, 889, 8362, 423, 8691, 5770, 6160, 8035, 119, 8597, 7249, 2022, 122, 2756, 9616, 5357, 8680, 2610, 5134, 9357, 9091, 1580, 542, 6582, 1222, 6257, 5038, 9188, 5095, 4469, 2548, 3989, 4227, 404, 9905, 696, 7272, 793, 5688, 1567, 1852, 7016, 6392, 3612, 1365, 1609, 8860, 7375, 7661, 5656, 5186, 4930, 2910, 6631, 3713, 2573, 8298, 2687, 7967, 1129, 3229, 7428, 2187, 2554, 965, 5660, 2850, 6143, 1425, 8842, 8600, 6552, 4972, 2461, 7073, 6651, 8726, 7301, 6739, 3211, 9159, 783, 6329, 4348, 7615, 1487, 7416, 8696, 8700, 2648, 91, 3375, 7797, 8855, 2781, 400, 5707, 6158, 5542, 7298, 1386, 1491, 9664, 6967, 4380, 3127, 7054, 7255, 9787, 3978, 9889, 9003, 471, 1475, 8520, 349, 2152, 2469, 363, 8084, 825, 3493, 1701, 1015, 9127, 4078, 7357, 7518, 2193, 199, 6483, 646, 86, 156, 6861, 6051, 5721, 5412, 700, 3362, 1348, 7812, 6260, 2391, 5208, 3095, 8610, 9699, 8550, 7998, 7136, 3463, 4501, 4570, 1985, 191, 871, 9811, 3508, 6912, 1575, 5114, 2440, 130, 1525, 1998, 3244, 6273, 7344, 7017, 7922, 3214, 4969, 1422, 1781, 6044, 2940, 4769, 7074, 1097, 9503, 7059, 165, 5452, 1067, 5865, 6818, 3531, 7296, 2268, 6712, 7050, 7785, 9514, 8391, 4786, 1064, 2602, 4956, 6822, 8229, 9951, 2824, 2792, 4044, 520, 2006, 4849, 7293, 121, 8931, 3175, 1777, 6462, 2234, 6606, 5087, 8989, 1392, 4646, 167, 6006, 2436, 758, 7290, 9440, 7121, 9621, 3483, 5598, 7503, 9525, 8701, 6553, 3767, 641, 978, 655, 7329, 2242, 6353, 5362, 7142, 754, 6980, 2866, 3726, 756, 1644, 6903, 762, 4166, 5623, 5700, 3633, 8150, 5262, 6955, 4399, 4073, 5022, 4472, 8237, 3903, 1380, 3644, 3861, 8442, 2257, 4562, 8720, 710, 3378, 989, 5874, 9958, 3878, 4560, 2846, 2140, 6461, 4586, 6400, 2989, 6724, 2273, 4968, 9056, 4825, 5846, 2019, 3867, 1452, 2071, 1151, 2627, 8424, 6600, 3778, 4459, 2770, 3960, 9989, 5326, 9912, 7088, 2562, 4957, 5949, 4400, 9576, 2704, 5140, 9556, 903, 9271, 1159, 1325, 5793, 4115, 1530, 6069, 8896, 1977, 4093, 5862, 3792, 1550, 9746, 5239, 4722, 6304, 1190, 9529, 5210, 8556, 7354, 7912, 3596, 6764, 9493, 7100, 9518, 4705, 4858, 4133, 7063, 2237, 8402, 8411, 2888, 8348, 4571, 6300, 8485, 273, 9901, 8079, 2596, 1395, 9389, 1009, 3919, 7478, 4649, 5518, 4350, 1587, 2972, 8675, 3932, 4864, 5113, 9580, 3563, 1997, 2232, 7435, 7400, 961, 6127, 657, 6887, 3147, 9020, 2516, 2426, 5645, 8657, 2819, 8279, 1860, 8208, 8573, 1322, 420, 4675, 5478, 2949, 5748, 1906, 5006, 7315, 7250, 5524, 5735, 2241, 863, 8010, 2539, 7294, 7396, 699, 3918, 3466, 7713, 4507, 5797, 9673, 7236, 9196, 5708, 9858, 5596, 4682, 6974, 1331, 6886, 5990, 3365, 959, 6848, 6500, 2062, 8815, 5948, 643, 9965, 7573, 5487, 8013, 3026, 6173, 4908, 8981, 1399, 6839, 539, 2189, 6843, 7237, 7513, 6734, 1410, 933, 8459, 6150, 4434, 7461, 2511, 9125, 1252, 8525, 8394, 9807, 982, 6146, 2332, 4298, 6696, 5575, 7887, 3503, 8897, 3012, 5299, 8954, 1987, 7648, 2576, 3840, 601, 7245, 3616, 7467, 8221, 7339, 6216, 1904, 7840, 3239, 1303, 3578, 3091, 8526, 3396, 5718, 7927, 6659, 2871, 1082, 4131, 6664, 4061, 8184, 6298, 4346, 9481, 8461, 1013, 1193, 5579, 3374, 1002, 6007, 7229, 8281, 2113, 5533, 9829, 599, 9527, 1947, 371, 2684, 4884, 7530, 3232, 6919, 4694, 8014, 4916, 7334, 2317, 7766, 573, 4990, 5796, 3572, 2883, 3469, 4345, 773, 8910, 2404, 3685, 7482, 3664, 1677, 7708, 5878, 9313, 5509, 8207, 1288, 9972, 4281, 4932, 8546, 9607, 3264, 1105, 6573, 8241, 1353, 3046, 2547, 1952, 2246, 2202, 1672, 5176, 1406, 6348, 5811, 9387, 919, 5323, 4338, 8422, 1683, 7934, 5367, 1200, 968, 1153, 4226, 5145, 1986, 5116, 8165, 3291, 6580, 2901, 5905, 805, 6762, 5733, 4217, 3041, 8303, 6761, 4979, 4716, 9537, 6202, 6767, 8812, 5646, 9248, 6670, 5785, 5188, 8384, 7278, 19, 3349, 515, 1754, 5915, 927, 2337, 8660, 9994, 3361, 6812, 9033, 1447, 3543, 4604, 2513, 1114, 612, 5992, 7045, 1782, 1073, 4333, 6627, 6832, 5341, 9706, 8199, 5925, 5783, 8191, 2377, 6223, 3592, 4318, 9351, 1972, 302, 4142, 894, 195, 9016, 3838, 3090, 239, 4713, 5279, 7300, 2966, 2409, 9263, 810, 6813, 8474, 7883, 465, 3666, 6639, 970, 6084, 2380, 4301, 5427, 3216, 8127, 3914, 5416, 6247, 3167, 3200, 2320, 449, 9185, 1172, 4780, 9733, 2381, 412, 9294, 5609, 3933, 3872, 5866, 6186, 986, 2021, 6629, 7466, 9375, 8808, 6789, 7946, 7036, 3971, 3140, 415, 4167, 8907, 6805, 8715, 1483, 9624, 2395, 8956, 7281, 3281, 5705, 9205, 9849, 7675, 3979, 3750, 3171, 2727, 2399, 9182, 8260, 674, 2269, 6103, 1621, 2359, 997, 5853, 947, 3882, 8292, 3797, 6395, 3652, 2526, 1832, 9570, 532, 9164, 5492, 6656, 4799, 8157, 9974, 2919, 8874, 8873, 1343, 8645, 6337, 3028, 3414, 9246, 5259, 2491, 1407, 6479, 2890, 8480, 7511, 8372, 6375, 3812, 4568, 4151, 8262, 7134, 5966, 764, 1647, 4162, 1842, 1283, 9287, 7101, 125, 5368, 2667, 5281, 9724, 7697, 348, 8804, 3789, 501, 1313, 4545, 9311, 8103, 3875, 2657, 6621, 8617, 8915, 6089, 3934, 5773, 7226, 3715, 6414, 1511, 8064, 9799, 7337, 219, 5666, 3395, 4941, 3656, 3614, 9977, 7852, 1713, 6645, 1650, 6834, 4215, 2489, 7977, 9774, 5923, 2238, 9947, 1506, 6525, 6503, 6825, 1078, 9075, 2262, 3711, 856, 9035, 1011, 6578, 3909, 3975, 9737, 2835, 3541, 9823, 6608, 3388, 8454, 6075, 7979, 1667, 9079, 1384, 4183, 3570, 1830, 5342, 9044, 7469, 7838, 6900, 4775, 6026, 8769, 6093, 2360, 502, 411, 8534, 7333, 1104, 9809, 57, 6709, 5139, 6729, 5729, 4118, 5180, 2375, 8895, 4784, 4895, 2215, 7728, 3072, 4276, 1043, 3115, 7845, 8608, 5817, 4859, 1367, 4239, 5928, 3553, 3158, 3550, 7980, 4372, 7376, 1670, 6130, 6455, 2722, 2603, 5879, 5063, 504, 9768, 5434, 4464, 1864, 3544, 3858, 1416, 5121, 9121, 5030, 3379, 7149, 3928, 1298, 1022, 5553, 5959, 8360, 5664, 9072, 3334, 3917, 2462, 8468, 7314, 8300, 5976, 776, 3952, 2868, 9645, 6788, 6831, 6451, 577, 3476, 6141, 6029, 9619, 8383, 41, 3381, 1675, 3813, 5759, 8857, 3073, 3245, 2117, 3423, 7164, 1027, 2084, 726, 5152, 3080, 3136, 1968, 535, 3825, 3609, 4948, 6893, 1772, 490, 9536, 3011, 1735, 4811, 4422, 3587, 9982, 8867, 4543, 4249, 7231, 5383, 7373, 8166, 946, 6998, 9614, 9561, 5414, 3474, 1936, 5838, 370, 1770, 9636, 5727, 9623, 4275, 6459, 6374, 6277, 3970, 5699, 3345, 5736, 4534, 3505, 8685, 704, 2405, 952, 2133, 2074, 6644, 2616, 314, 9412, 4008, 4111, 2290, 3699, 8623, 9496, 3650, 4475, 7039, 673, 8305, 124, 3752, 7611, 8198, 8219, 2120, 9611, 1089, 229, 3145, 1940, 7638, 5482, 2287, 4004, 1177, 8039, 8466, 5045, 5493, 3134, 7151, 8781, 4474, 8069, 2652, 2061, 9967, 1058, 750, 4830, 2112, 4917, 9210, 6350, 2678, 7761, 7205, 8423, 7593, 6997, 1150, 3734, 6867, 7455, 2086, 8239, 9736, 2316, 9273, 4565, 3533, 6859, 7595, 1592, 1374, 7717, 7481, 6341, 3857, 8746, 1761, 3929, 8159, 2915, 3558, 4904, 5374, 4043, 2429, 4928, 3246, 2154, 2931, 9863, 1448, 5138, 9790, 524, 2705, 1402, 1207, 6488, 2148, 9425, 8338, 5670, 7246, 6423, 9530, 1075, 1595, 3634, 9458, 4980, 621, 4098, 5082, 1109, 5003, 7704, 7011, 8421, 9195, 215, 9450, 2518, 8783, 1887, 1893, 2292, 3743, 2885, 5438, 8856, 90, 5349, 1714, 3889, 4974, 2278, 7835, 4805, 3777, 85, 8539, 7703, 1389, 9484, 9535, 442, 1012, 9393, 397, 3722, 27, 5407, 4486, 2400, 9298, 9516, 6218, 2252, 36, 6752, 4660, 9729, 5563, 9711, 7049, 5632, 1850, 5577, 544, 7395, 5675, 7071, 3816, 2013, 3151, 4336, 5115, 833, 2575, 8724, 1523, 6543, 5042, 1419, 3735, 5585, 563, 1661, 6399, 5881, 4255, 5877, 3953, 3099, 7848, 9004, 2068, 545, 6987, 6877, 6261, 5995, 7869, 7137, 2778, 4085, 2751, 7403, 84, 623, 9779, 9836, 9690, 2100, 9208, 6923, 4860, 9841, 7431, 1881, 7587, 3177, 1865, 1123, 9353, 7356, 5898, 9472, 1872, 9728, 5546, 6682, 4193, 8073, 1092, 6108, 4767, 1115, 7292, 6407, 9040, 159, 4288, 3747, 8297, 5913, 5485, 8754, 3472 ], [ 4570, 5486, 2515, 2776, 7783, 3146, 587, 3243, 8781, 7638, 1799, 1773, 9486, 7678, 3015, 2735, 9849, 6269, 8473, 5699, 422, 9860, 4521, 1530, 6943, 767, 2364, 9633, 1025, 6425, 2564, 7667, 591, 63, 7227, 1997, 7737, 3396, 7718, 4220, 7935, 7163, 4571, 4635, 2428, 6540, 3380, 8840, 3393, 352, 8237, 4664, 929, 8901, 7408, 6430, 3712, 2270, 3408, 2553, 9531, 3714, 2466, 8160, 589, 6970, 6885, 8256, 1107, 2328, 1958, 9345, 5987, 216, 544, 5275, 3611, 7665, 1951, 9031, 3683, 783, 5043, 6133, 7606, 6001, 1688, 3881, 9881, 7727, 6299, 4305, 9613, 894, 6394, 6809, 7832, 5983, 9819, 4373, 7516, 5061, 72, 7065, 1038, 3282, 8376, 6598, 4222, 763, 8370, 4914, 9053, 565, 182, 2443, 6023, 4787, 9553, 6929, 1583, 1900, 1167, 7815, 6700, 8435, 6639, 4645, 4624, 229, 2589, 8344, 6030, 4506, 2196, 5555, 4843, 4266, 6489, 4749, 566, 749, 4054, 3402, 5463, 7723, 5076, 3119, 5536, 9676, 8402, 3570, 8671, 3185, 9621, 2853, 6257, 1281, 7886, 1480, 2314, 3961, 5628, 9302, 8112, 4826, 9882, 5498, 5672, 2477, 8207, 6078, 6604, 4841, 2724, 3956, 6021, 5069, 1379, 9291, 4905, 3832, 6733, 720, 5116, 2149, 7496, 9908, 9020, 4167, 3136, 1121, 3148, 3628, 1102, 6224, 9010, 3862, 4204, 5771, 9710, 6089, 9335, 1821, 2306, 8148, 4218, 4996, 4769, 3985, 1934, 1205, 7410, 693, 2062, 6345, 7015, 5459, 2841, 8481, 8635, 5386, 7542, 8747, 508, 8777, 3325, 6711, 1476, 7346, 2908, 6454, 1404, 8758, 2246, 8126, 4792, 8321, 9552, 277, 9767, 7931, 1083, 8783, 8511, 4686, 8322, 1296, 6181, 1966, 3349, 8453, 423, 6960, 8979, 8833, 1074, 1832, 1260, 4604, 6012, 6218, 5358, 2746, 6041, 3078, 1495, 1381, 2815, 5514, 5030, 9139, 3114, 8800, 8396, 8779, 2014, 578, 2029, 8965, 690, 2356, 7856, 5828, 6486, 1756, 9450, 1105, 3294, 4923, 7967, 8686, 5272, 7575, 2065, 6643, 9763, 6747, 1969, 9438, 2411, 8433, 1095, 8010, 1880, 9114, 2810, 2370, 9056, 7162, 2971, 1909, 8544, 8375, 2827, 9038, 6794, 5026, 7508, 9098, 7397, 7940, 5204, 7159, 7717, 697, 6949, 9400, 7239, 914, 9619, 8461, 3963, 1311, 287, 4846, 9145, 6941, 9005, 977, 1010, 5585, 1828, 1454, 2997, 7139, 1326, 5836, 7379, 7062, 8192, 9883, 1612, 7257, 8942, 3582, 25, 777, 7172, 6011, 1093, 3668, 240, 8995, 7317, 9100, 5107, 9591, 7970, 1251, 7089, 8035, 3685, 4095, 1726, 1400, 6374, 4638, 9381, 5297, 1735, 6421, 5351, 4719, 8857, 3353, 1370, 5952, 6056, 2301, 489, 5053, 6216, 8625, 8789, 7153, 3169, 5380, 3513, 3823, 1183, 5570, 1481, 4908, 9899, 5339, 9759, 6625, 4110, 7443, 386, 6401, 9723, 1511, 5312, 2107, 2794, 6013, 7817, 8136, 6571, 3853, 895, 7933, 2668, 5300, 1269, 17, 867, 2804, 1484, 354, 7616, 1858, 1568, 4360, 672, 3199, 5984, 3273, 5343, 9271, 9151, 4641, 137, 3876, 4342, 5141, 4178, 1397, 1235, 5259, 3588, 3467, 2809, 5840, 2690, 101, 2456, 7669, 6053, 316, 3360, 3907, 3413, 8636, 9154, 5702, 3678, 4123, 2935, 9577, 4469, 5338, 8951, 5507, 905, 6796, 3935, 5942, 9752, 6955, 8284, 683, 8630, 1295, 8464, 486, 3340, 7074, 5325, 963, 5537, 5985, 6535, 3352, 6545, 3145, 8512, 3388, 1452, 8601, 2580, 7119, 5225, 8552, 6525, 6210, 9035, 7013, 1644, 5345, 6342, 1459, 4869, 2262, 177, 7951, 725, 4876, 4830, 7250, 5488, 5195, 5986, 6610, 8356, 2970, 1312, 4658, 8023, 6526, 293, 1624, 1888, 5332, 1225, 632, 5136, 8067, 1324, 8616, 6247, 6468, 3780, 3892, 8309, 8260, 7883, 4010, 2813, 411, 2019, 6723, 7726, 2789, 575, 6353, 5512, 6312, 140, 4539, 9272, 1076, 3068, 8384, 3321, 3266, 3998, 1503, 5743, 3502, 8189, 7981, 2204, 5385, 1054, 9079, 1825, 7071, 8337, 1740, 831, 2552, 2064, 9741, 2135, 5440, 3770, 2509, 1856, 8394, 1651, 8381, 4837, 2633, 3505, 7563, 7023, 2025, 2277, 8851, 9509, 2297, 7208, 572, 8698, 7399, 3566, 459, 3675, 927, 8043, 1556, 4351, 7292, 4960, 3458, 7902, 1615, 9276, 3607, 7825, 6802, 9936, 2105, 1991, 1959, 6285, 3024, 6701, 7716, 8155, 5698, 3966, 3053, 1273, 4466, 7827, 4425, 2862, 6974, 9833, 9746, 170, 4481, 8531, 6249, 4272, 1780, 153, 4319, 753, 8484, 7781, 4155, 8927, 4393, 9112, 9327, 5915, 9268, 1313, 6026, 836, 9969, 6095, 4219, 5496, 3274, 2369, 4803, 4062, 3395, 283, 647, 5450, 5492, 1662, 899, 9261, 6048, 4939, 1564, 8291, 8498, 5232, 8414, 1555, 4384, 7189, 8716, 6139, 5281, 7724, 9870, 6405, 8127, 1466, 3662, 626, 4414, 5161, 5511, 9360, 7751, 2978, 4413, 9465, 3523, 1372, 704, 784, 6712, 7904, 6917, 4003, 2053, 1199, 8891, 2868, 2678, 877, 8557, 3870, 1965, 1744, 6115, 547, 1308, 9356, 9772, 9618, 4343, 9007, 5591, 678, 3549, 8048, 7246, 2788, 360, 3208, 9572, 8229, 2085, 6586, 3944, 4574, 4185, 4820, 8081, 6793, 4398, 4857, 7944, 1609, 1077, 9090, 5655, 7176, 8582, 4120, 3050, 2561, 6074, 3783, 2026, 7407, 1632, 4438, 2238, 9928, 3172, 3541, 2242, 5330, 9134, 2543, 3429, 4808, 962, 5353, 2321, 9445, 8583, 8705, 6634, 1751, 2670, 4889, 4981, 4106, 5853, 3205, 4080, 6142, 3915, 3384, 7588, 440, 8793, 8346, 1878, 8670, 3815, 9469, 1293, 5146, 2671, 2298, 4479, 3480, 9448, 1956, 4515, 2046, 6716, 9117, 7253, 1544, 7493, 2420, 4572, 5851, 7390, 7611, 364, 6819, 9439, 5529, 3026, 6685, 844, 1549, 1769, 3063, 7826, 1554, 3748, 9315, 8526, 9417, 5235, 1616, 7097, 5577, 7231, 2617, 6841, 6570, 974, 7743, 9156, 9275, 1886, 4163, 9823, 6877, 5212, 2651, 6301, 8999, 8181, 4546, 8532, 2838, 7300, 997, 7349, 2859, 4901, 3742, 3479, 4352, 1573, 8261, 9492, 1329, 9092, 4642, 8441, 6172, 6542, 5506, 4198, 3099, 4298, 7645, 6584, 1018, 2101, 7155, 8443, 2922, 4566, 1465, 8959, 6217, 6357, 4322, 8746, 5494, 7502, 5220, 1426, 322, 2198, 6372, 2059, 6186, 9844, 9259, 8615, 6592, 8938, 469, 2493, 9369, 8037, 976, 9793, 2275, 8876, 2080, 4687, 1051, 3432, 457, 2247, 8466, 4477, 8806, 4648, 4340, 4482, 4416, 5587, 331, 7543, 8953, 6449, 4875, 8342, 7297, 8271, 7633, 9561, 3557, 5602, 3235, 9609, 5829, 8830, 3017, 4353, 2399, 4094, 1507, 6003, 5276, 7448, 448, 3456, 824, 2130, 7608, 1527, 5018, 7118, 9488, 5769, 7210, 5534, 6751, 2934, 6988, 4228, 2882, 8604, 1130, 8889, 9347, 1371, 4592, 9508, 108, 2087, 9166, 5067, 595, 2453, 9310, 8232, 1732, 8171, 6150, 6235, 106, 6096, 4605, 1328, 4108, 900, 5160, 5959, 2020, 6173, 3220, 6697, 5767, 3368, 7620, 7336, 2964, 671, 8493, 5651, 3096, 2663, 1822, 1905, 2372, 8657, 3000, 3154, 5001, 7561, 8458, 9707, 3759, 1504, 6495, 8066, 662, 3418, 4097, 3929, 4660, 4345, 1332, 7428, 4976, 5283, 8182, 5916, 6063, 4160, 5387, 4854, 9753, 2480, 2887, 7201, 7927, 1487, 8195, 1000, 5190, 6996, 518, 4877, 7766, 1289, 7400, 2923, 9774, 9186, 7701, 1258, 1790, 2494, 1467, 3092, 7242, 156, 5271, 1396, 2317, 1637, 1492, 8338, 6349, 4980, 2006, 8312, 3927, 6785, 9122, 4282, 5174, 979, 7418, 5988, 6797, 7682, 6124, 2088, 6444, 8500, 2190, 1035, 5415, 9290, 525, 4371, 9902, 7592, 7188, 310, 723, 7926, 5289, 1352, 2699, 7990, 8011, 162, 4668, 7353, 3844, 6281, 5379, 1603, 4001, 2943, 5800, 3339, 6807, 5433, 5480, 1952, 7946, 2605, 6920, 2030, 5726, 5561, 5974, 4412, 2391, 9391, 7138, 2586, 9189, 9972, 9956, 2032, 6567, 7859, 2227, 2875, 2904, 3420, 8565, 1429, 966, 7937, 4085, 5997, 4426, 7836, 9607, 1761, 8153, 9875, 6982, 2181, 3214, 5094, 5036, 952, 7283, 2010, 1368, 8964, 6471, 8476, 2769, 2302, 868, 910, 875, 5705, 4191, 2421, 313, 2460, 8020, 9014, 1343, 4555, 8651, 5267, 9422, 2913, 1595, 8365, 3863, 2402, 2296, 8689, 9049, 1579, 4014, 588, 7157, 1779, 455, 2759, 1229, 3500, 7480, 1729, 4619, 9306, 7192, 2686, 4, 8092, 7102, 7256, 4491, 947, 5503, 1027, 602, 8510, 4136, 1597, 1863, 4695, 8096, 3630, 8172, 1661, 3947, 8343, 2099, 4558, 4828, 178, 4432, 8140, 4382, 8802, 5091, 7906, 5982, 3522, 2723, 5039, 1782, 7433, 6641, 2450, 2839, 8960, 1237, 9582, 9683, 987, 9866, 7794, 2283, 5202, 4988, 6864, 5619, 8379, 4276, 6469, 495, 1846, 4587, 5715, 397, 3144, 3612, 2877, 2224, 7033, 4040, 463, 9370, 254, 5487, 8326, 1599, 7958, 2008, 9869, 4315, 9514, 4346, 4640, 2488, 7296, 622, 3615, 9590, 9808, 5833, 9623, 9760, 8021, 2696, 2685, 1323, 2361, 4684, 2666, 8119, 2597, 6915, 4403, 5047, 8065, 222, 8427, 4698, 3781, 4082, 6068, 4756, 781, 6866, 9213, 2808, 4804, 983, 6803, 8274, 3526, 9046, 9712, 1322, 1071, 5516, 9172, 3488, 5357, 9225, 2989, 3100, 9644, 7890, 9452, 7637, 4975, 8385, 1509, 8677, 3087, 2113, 7092, 3600, 3847, 6958, 4609, 1015, 5839, 4789, 1358, 9479, 7301, 9248, 9864, 3960, 5625, 7290, 5701, 669, 4126, 9761, 7338, 4819, 1463, 9405, 5689, 695, 8430, 3692, 1947, 2163, 2195, 5922, 3277, 1621, 239, 2546, 6597, 5490, 384, 4575, 5608, 9277, 1674, 846, 9, 1836, 6356, 2229, 2575, 5248, 6511, 746, 6020, 6859, 6729, 1419, 6420, 6593, 981, 6911, 9655, 7537, 5334, 1168, 9406, 4411, 6622, 4839, 1063, 2285, 7261, 9423, 4217, 268, 5399, 6033, 9534, 9136, 5813, 2926, 2140, 1172, 485, 1449, 5382, 6465, 5674, 8107, 1134, 2572, 7929, 77, 3481, 9679, 30, 4174, 6438, 5126, 555, 1963, 1231, 9803, 926, 2646, 7963, 8697, 3018, 8832, 9285, 9965, 1029, 3428, 88, 2259, 4791, 3693, 8277, 6795, 7699, 1523, 1757, 5976, 5881, 7715, 8131, 8819, 6587, 8505, 5856, 7804, 7526, 8177, 2426, 6310, 7452, 882, 9670, 7041, 8115, 4891, 7183, 497, 3009, 6880, 5515, 5763, 7831, 8669, 3873, 1981, 9456, 6334, 6201, 6534, 9692, 4226, 9416, 5878, 3084, 6633, 4063, 6398, 9957, 2708, 3527, 4262, 39, 13, 6845, 4721, 2577, 1915, 8194, 8742, 1043, 1920, 5692, 7993, 8034, 3118, 1854, 9680, 5518, 255, 188, 9320, 7994, 4834, 9063, 2295, 2890, 9981, 2688, 3427, 119, 2360, 945, 298, 3765, 4526, 5151, 7753, 5477, 6498, 5306, 6998, 9722, 9638, 2820, 9427, 7697, 772, 1203, 2542, 1618, 6208, 9600, 9128, 5145, 3149, 1149, 2348, 1939, 5419, 1348, 1733, 8225, 971, 7864, 3749, 3837, 2220, 8154, 4404, 7778, 6579, 4173, 2628, 2792, 4814, 8030, 69, 7547, 4514, 4824, 6717, 183, 6000, 6664, 4788, 2679, 1861, 7365, 5547, 2236, 253, 8691, 6683, 1942, 6214, 6558, 4999, 1588, 496, 1831, 3422, 7806, 6484, 9461, 5849, 8778, 6168, 9664, 8314, 2465, 138, 3840, 6094, 105, 4453, 4334, 4159, 176, 3510, 3035, 5778, 1320, 2596, 9602, 8509, 4723, 8233, 3597, 7576, 593, 6436, 4815, 7104, 9099, 1755, 3254, 4547, 3666, 8871, 4308, 6176, 4667, 1363, 6693, 8313, 7469, 2773, 4958, 9502, 1798, 9948, 4537, 6271, 5414, 7903, 2533, 713, 5062, 8469, 9897, 1478, 3608, 4597, 6197, 3041, 7532, 1238, 1690, 2116, 9041, 3558, 7816, 1640, 6559, 6887, 340, 9976, 9927, 3771, 330, 2899, 9244, 6122, 6772, 4488, 8088, 6821, 1127, 7559, 9831, 3466, 7522, 4601, 1078, 474, 5826, 1188, 5650, 2490, 8331, 4130, 7504, 54, 2158, 5599, 2271, 1206, 6984, 6205, 7739, 7190, 5417, 8954, 7874, 8560, 2847, 4989, 8193, 4900, 3401, 9601, 9073, 3485, 7617, 7985, 6141, 8397, 5167, 3904, 337, 4689, 5521, 3577, 295, 4233, 9274, 1192, 7067, 1099, 472, 2579, 2625, 6134, 9729, 5335, 336, 6549, 2414, 5156, 2836, 7754, 5522, 3777, 1645, 5728, 1189, 3621, 5700, 2329, 2635, 7601, 7042, 2514, 1815, 7171, 2682, 2171, 4031, 2770, 7415, 6816, 4451, 9780, 7626, 4235, 7421, 6637, 3822, 5402, 6769, 4893, 5423, 1389, 2720, 645, 6234, 5118, 4795, 6762, 5286, 8323, 261, 1741, 2681, 4867, 1359, 2692, 8071, 8936, 1455, 2852, 5857, 7696, 9518, 2418, 9702, 327, 7018, 6032, 5640, 1181, 4508, 9827, 4216, 1866, 2900, 5455, 365, 608, 7072, 7175, 1240, 5544, 5465, 5795, 6236, 7340, 2994, 4763, 8069, 4313, 8898, 7709, 5405, 8265, 3279, 3301, 2846, 2619, 3824, 5374, 5046, 3539, 9839, 7567, 6069, 6402, 5095, 4752, 3300, 3964, 5101, 3193, 6493, 3064, 8695, 6612, 3762, 4548, 3529, 6743, 4323, 6151, 3143, 3700, 9419, 3725, 9593, 4840, 7506, 4299, 1057, 6934, 9959, 2983, 3790, 8904, 2038, 4612, 9034, 2892, 8546, 7436, 383, 7591, 1354, 321, 3694, 45, 8097, 7897, 2504, 3162, 7782, 3567, 431, 8730, 7378, 8757, 429, 1277, 3696, 8149, 5556, 4441, 9157, 3381, 3674, 1036, 2142, 7060, 6213, 8996, 1537, 2936, 8156, 437, 3590, 2812, 4248, 4480, 4636, 7082, 6780, 9587, 9937, 1620, 4798, 471, 4390, 9551, 9991, 8977, 1376, 4223, 1252, 6544, 8692, 1658, 1219, 4522, 5622, 9147, 9652, 3784, 5967, 7909, 9222, 1859, 432, 5613, 9511, 2976, 1633, 6752, 8621, 2973, 1865, 5245, 9426, 1898, 9231, 636, 7343, 2120, 6767, 712, 8465, 1895, 6461, 5444, 6787, 8912, 2874, 3544, 3495, 1112, 3655, 7624, 4177, 1796, 3940, 300, 3398, 727, 4019, 5366, 8744, 6114, 1156, 5727, 1417, 8994, 878, 1522, 1286, 3788, 6389, 8340, 1423, 5293, 1835, 9477, 4307, 1985, 9437, 5394, 9604, 227, 5944, 7449, 1700, 6291, 6369, 7813, 522, 9338, 8393, 3559, 481, 4442, 7539, 3016, 5811, 2347, 2640, 4232, 8234 ], [ 9614, 9401, 3883, 3986, 5178, 3565, 8239, 1351, 225, 5525, 8813, 4367, 7939, 6616, 5538, 1899, 4801, 7685, 5253, 9301, 7350, 8952, 8459, 447, 9344, 4821, 7932, 6928, 7232, 1691, 5802, 9190, 6522, 9933, 4350, 8982, 8562, 8367, 3173, 7423, 5056, 7865, 3319, 6954, 7091, 3113, 6623, 2574, 3665, 3576, 8525, 9062, 7974, 7473, 664, 6335, 8235, 1891, 7485, 3008, 2727, 1360, 8786, 2452, 8176, 5219, 7992, 4483, 2244, 456, 3426, 2866, 6596, 6, 9103, 8400, 9179, 7524, 2278, 5207, 6933, 3323, 8426, 7571, 312, 5321, 6246, 435, 7950, 3052, 1066, 7564, 5899, 2497, 264, 3889, 1512, 8259, 7996, 8451, 7639, 7030, 7056, 839, 6699, 9440, 8017, 6686, 8721, 8217, 1964, 2695, 9453, 1137, 4359, 4137, 2518, 8578, 7872, 5647, 8196, 7615, 4146, 1169, 5752, 4170, 779, 4985, 2425, 2957, 2250, 6455, 4671, 5051, 7125, 5475, 6706, 7491, 3457, 3459, 9061, 8523, 569, 1814, 3490, 8584, 8855, 8294, 5447, 3370, 8467, 6833, 861, 5816, 7049, 6825, 7347, 449, 94, 213, 3957, 2620, 3038, 6194, 8514, 7360, 3555, 1045, 9804, 6488, 2336, 7556, 2177, 2655, 5409, 3517, 1157, 3065, 2292, 6302, 38, 2603, 2263, 3153, 4861, 6120, 2098, 1842, 4157, 3, 3489, 6689, 8764, 202, 241, 3810, 707, 3156, 7643, 2499, 6757, 1341, 3487, 1366, 7047, 7840, 1600, 2078, 3109, 4421, 1111, 5996, 8762, 5969, 4083, 4286, 7634, 376, 2178, 9708, 1085, 2732, 9830, 4718, 4969, 1450, 6146, 6123, 1068, 8839, 6325, 2977, 3160, 2802, 8554, 7066, 80, 9754, 6572, 9045, 7402, 6073, 2103, 3071, 9144, 1285, 8295, 3150, 8503, 6002, 4848, 8161, 452, 4745, 546, 9004, 8158, 4294, 1672, 5659, 201, 2895, 9738, 8880, 531, 2189, 8679, 6770, 7444, 9885, 1097, 9447, 9364, 5015, 4433, 7467, 3594, 4979, 20, 4060, 5368, 3259, 191, 7077, 9504, 7572, 7096, 8179, 1867, 2562, 9989, 7295, 2126, 6062, 7942, 2309, 5757, 1709, 7057, 6673, 5819, 2587, 4531, 9525, 611, 1164, 2061, 930, 7052, 7199, 8388, 3057, 3207, 2017, 9199, 6477, 8981, 2034, 6894, 6057, 741, 346, 1309, 5341, 7222, 7152, 8559, 7409, 3941, 9806, 1629, 5843, 5059, 5181, 4659, 8676, 4391, 9570, 764, 5176, 5706, 7200, 2, 3585, 8725, 273, 276, 7830, 9212, 2860, 1230, 6758, 6195, 7954, 8024, 2096, 9834, 3102, 9387, 7772, 7191, 9954, 9287, 8872, 3262, 680, 7943, 6343, 6582, 1604, 8637, 4800, 5425, 7464, 4838, 5296, 7984, 4880, 7271, 9690, 3640, 4397, 9498, 5633, 491, 8026, 4304, 2649, 9775, 4561, 3306, 4934, 8103, 4806, 4445, 1870, 8536, 560, 5060, 5645, 3854, 7912, 1151, 3246, 9920, 6945, 2471, 2353, 9507, 3376, 409, 5994, 7267, 1493, 7492, 9102, 7320, 5862, 6393, 6156, 6912, 4224, 400, 703, 5369, 9858, 614, 2932, 5624, 3993, 1297, 251, 3741, 2054, 8644, 7294, 4325, 999, 3658, 9807, 7791, 6318, 551, 5071, 3130, 3304, 24, 2647, 4715, 3818, 9612, 4925, 46, 1927, 4387, 4314, 7867, 5035, 6304, 5222, 389, 7252, 479, 6687, 5838, 6602, 9958, 145, 6272, 3141, 4101, 1259, 4677, 4069, 9076, 9669, 3494, 2405, 5592, 7971, 7240, 2950, 1924, 8186, 9889, 4369, 9944, 1087, 3643, 3861, 4882, 6851, 5545, 1694, 7472, 4368, 8143, 2958, 6764, 9951, 8191, 6890, 6800, 8564, 5100, 1534, 803, 4860, 2354, 1805, 9332, 9116, 2174, 1630, 819, 590, 7551, 876, 1767, 6352, 6191, 6332, 6897, 3436, 3766, 8675, 4953, 982, 4201, 698, 64, 8210, 9235, 1883, 5406, 5462, 3816, 6704, 4208, 1901, 6263, 7160, 3028, 5866, 1243, 7736, 9878, 199, 5086, 9824, 1623, 5740, 5205, 7619, 2291, 3168, 6280, 7010, 5234, 3292, 9637, 3217, 9627, 2823, 4796, 3710, 9735, 3108, 8970, 1019, 4256, 659, 9631, 3581, 9797, 5502, 9558, 9650, 1656, 3938, 4706, 3716, 6737, 9210, 5489, 4702, 4920, 3967, 808, 7325, 8967, 539, 6250, 3066, 583, 1699, 4807, 7050, 8272, 8120, 1827, 8534, 7000, 8502, 3532, 4134, 1994, 7129, 4987, 4049, 4188, 3188, 7983, 4747, 1108, 3800, 7705, 9293, 4532, 6479, 5569, 7607, 5528, 3447, 928, 2831, 5292, 195, 1424, 1745, 3850, 8641, 3560, 2377, 2925, 7269, 6978, 1777, 1506, 5755, 7109, 8987, 4902, 5476, 5868, 3289, 5888, 7792, 2385, 5491, 8717, 901, 8363, 405, 4055, 9519, 4779, 6228, 3097, 7357, 6355, 8055, 6147, 7653, 8849, 2805, 7332, 4849, 4649, 4258, 8763, 1162, 5864, 6627, 4418, 9130, 6799, 1689, 1804, 9263, 4952, 8906, 2102, 2282, 1752, 6881, 7628, 4402, 7223, 7548, 3022, 4736, 5309, 7765, 4168, 1931, 4656, 5316, 9841, 6043, 2523, 4118, 9470, 5882, 271, 1468, 4870, 8918, 7989, 6614, 6284, 5937, 9571, 9141, 4858, 3438, 6645, 297, 3653, 7396, 5991, 3281, 6378, 8688, 3287, 5285, 856, 5217, 3213, 1566, 9915, 9585, 168, 7545, 9016, 324, 5432, 1195, 8308, 5517, 3702, 7596, 6475, 2781, 2327, 6649, 9436, 9069, 9044, 7554, 6532, 9739, 3634, 2355, 8818, 5064, 86, 3917, 6773, 5172, 6515, 5022, 1380, 9082, 7303, 4929, 4444, 6829, 6099, 2245, 5835, 7745, 8990, 8521, 8198, 1913, 4836, 4965, 5025, 6060, 7362, 2413, 8077, 2643, 2730, 1355, 7749, 6221, 9388, 2390, 4452, 6528, 2768, 7462, 654, 5410, 3192, 78, 4823, 5255, 5290, 9446, 5924, 5186, 4401, 7298, 9153, 3455, 1551, 970, 4464, 4088, 3195, 9603, 1552, 8729, 7088, 8919, 1776, 2929, 1670, 5721, 7809, 9528, 9789, 4825, 4075, 9921, 3469, 4099, 7521, 7597, 4141, 4296, 9532, 4585, 5336, 5413, 785, 7313, 6765, 2264, 5965, 9984, 2986, 2845, 3562, 8707, 9036, 3010, 1428, 8282, 7445, 217, 5634, 2408, 1434, 2560, 6653, 6014, 773, 7839, 1488, 6232, 2058, 8540, 7500, 2290, 7016, 3491, 8009, 3191, 1625, 7511, 5722, 5158, 9953, 7031, 115, 1200, 6961, 2162, 433, 2734, 1809, 5354, 5917, 3460, 1975, 1145, 284, 6113, 8586, 1362, 925, 3768, 7098, 7113, 4932, 6798, 7068, 550, 2013, 827, 6590, 7892, 3647, 2763, 5327, 3440, 1437, 3417, 4225, 4778, 6258, 9495, 1061, 4087, 9379, 152, 1144, 3657, 4127, 1848, 1198, 6992, 7742, 886, 2389, 9703, 851, 5093, 4886, 7393, 3895, 8211, 9975, 5437, 96, 4615, 6973, 9266, 9671, 523, 4034, 533, 4281, 5188, 4746, 6306, 887, 3758, 9559, 5170, 6891, 9499, 6776, 5352, 3606, 3813, 1398, 5670, 7398, 2216, 7316, 6680, 6630, 8731, 9148, 8068, 4670, 8335, 3051, 117, 3072, 9757, 8923, 10, 257, 6373, 3224, 5799, 5880, 2507, 7583, 2885, 3602, 6241, 2744, 9489, 817, 6410, 2144, 4128, 6085, 9362, 3468, 9796, 5243, 8776, 1135, 8634, 9363, 7562, 4899, 8311, 2684, 7849, 4179, 714, 3819, 4192, 8141, 6450, 4068, 535, 8061, 9919, 1675, 7368, 3746, 7470, 3073, 1196, 3126, 8693, 8858, 4728, 6108, 4992, 6087, 1746, 7577, 6072, 8908, 1069, 6107, 8, 7440, 5638, 6499, 2816, 8877, 6577, 1166, 3014, 4190, 6009, 5347, 1257, 8157, 4944, 8541, 6193, 9817, 3501, 8756, 9814, 5865, 8949, 1347, 5066, 4434, 5950, 209, 6938, 6049, 1209, 2830, 7702, 6400, 3650, 4149, 1948, 1772, 3166, 5832, 7404, 804, 735, 2876, 6792, 2043, 5543, 1, 3251, 7236, 6811, 4423, 9155, 6434, 8612, 6364, 9713, 7509, 2835, 6901, 814, 3841, 503, 5837, 584, 7386, 1610, 5848, 5114, 5464, 1469, 5662, 9300, 311, 1684, 5132, 4782, 1165, 5014, 7143, 6363, 1938, 5404, 8218, 667, 5129, 8462, 8608, 8290, 2520, 9163, 9001, 8001, 3367, 5712, 490, 1132, 940, 561, 5809, 571, 7110, 8629, 1875, 8463, 3803, 9630, 1837, 427, 355, 6727, 2826, 9132, 6276, 7922, 1034, 3912, 2000, 1543, 7529, 8078, 2498, 2231, 2705, 809, 9810, 9323, 2931, 6744, 6366, 9564, 3346, 8013, 9510, 1204, 2780, 1764, 6983, 7788, 7482, 2521, 5621, 8770, 4761, 414, 3416, 3095, 5390, 2289, 8749, 7005, 9226, 985, 8411, 1221, 2506, 3660, 6485, 789, 7987, 744, 2233, 670, 5652, 5867, 269, 7299, 19, 6305, 1563, 1542, 5910, 3525, 6724, 2583, 951, 3578, 2737, 1783, 1968, 5887, 9113, 8940, 9481, 7510, 8408, 995, 6129, 8530, 4748, 4443, 6661, 1797, 6358, 7947, 6317, 8660, 5133, 9491, 203, 6642, 1521, 3390, 5360, 1220, 4199, 5359, 1753, 6255, 4072, 8085, 2778, 9995, 3297, 7412, 685, 5753, 3983, 8438, 8712, 5912, 3211, 8916, 104, 9986, 1839, 3629, 3249, 9237, 363, 7234, 8328, 6219, 7593, 9660, 8138, 2273, 5256, 468, 6782, 6855, 904, 9750, 7020, 84, 9871, 8771, 5782, 1667, 6654, 3764, 7625, 1062, 1129, 6294, 3782, 1171, 5265, 1339, 7631, 3950, 3115, 2558, 2522, 4093, 2753, 8596, 9331, 700, 8724, 7414, 4037, 5497, 2653, 159, 8040, 9412, 751, 2578, 6631, 7706, 2662, 6589, 2878, 367, 4407, 4236, 4089, 7821, 2917, 9835, 4008, 4053, 4028, 2621, 1930, 1477, 9442, 7108, 1879, 8886, 9851, 2988, 3186, 5268, 8585, 1519, 9855, 4309, 1485, 6615, 3286, 3949, 2998, 5102, 7738, 8387, 98, 9351, 130, 2738, 9105, 918, 6710, 7829, 2801, 5198, 7314, 5470, 805, 4206, 7333, 6514, 1421, 3412, 5595, 3296, 9996, 7842, 4675, 7158, 6856, 1445, 1090, 7354, 2469, 2993, 7048, 8113, 3888, 5870, 1681, 3278, 2717, 1367, 3744, 9238, 8921, 2470, 9595, 944, 953, 3897, 5278, 3048, 4961, 4471, 629, 4917, 18, 8827, 5656, 7217, 4114, 6895, 2821, 7451, 3298, 303, 2068, 1384, 8976, 7324, 9072, 6025, 6672, 2911, 6774, 6490, 2942, 8470, 8958, 398, 8199, 3023, 3623, 3443, 3756, 857, 4591, 8735, 5981, 8875, 2228, 8674, 4835, 1979, 3385, 1163, 8423, 576, 1100, 7945, 214, 7278, 3715, 2959, 2749, 4193, 7578, 1483, 6171, 1715, 6336, 4370, 8287, 9755, 3101, 1962, 1342, 2423, 390, 7687, 1194, 2330, 7505, 6231, 7411, 1392, 2094, 8654, 7406, 9361, 3548, 5328, 6407, 1720, 7893, 8638, 732, 3270, 5508, 1475, 3515, 5675, 1067, 2079, 2726, 2313, 9846, 2995, 1820, 5793, 2980, 8550, 160, 3603, 2341, 7063, 1058, 4251, 4215, 6507, 2806, 6130, 1275, 8913, 2672, 3125, 3593, 5376, 1807, 9066, 7156, 4253, 4332, 7558, 31, 2339, 4755, 8390, 4374, 4280, 4263, 1080, 9200, 1160, 118, 5370, 4679, 3673, 4810, 9947, 4489, 6229, 5898, 6457, 6600, 3787, 8494, 8109, 8842, 6327, 8841, 2650, 6105, 6187, 5895, 7998, 197, 9451, 5653, 2208, 6734, 7584, 8395, 5814, 7070, 8720, 4951, 3641, 2444, 9078, 3327, 500, 7405, 7656, 9784, 5964, 3499, 4726, 2110, 1526, 5442, 8285, 7403, 2332, 3785, 7008, 3620, 2057, 6620, 2133, 494, 219, 392, 8184, 9974, 9912, 9843, 3238, 5874, 3197, 9657, 1514, 8862, 4523, 8269, 5441, 740, 7894, 4016, 7544, 1442, 7877, 9115, 8915, 8727, 2474, 294, 5790, 3974, 5315, 27, 3925, 6136, 9397, 4448, 7, 3842, 8610, 9032, 3288, 9964, 5762, 8708, 5010, 8895, 8983, 6510, 1104, 2551, 5586, 9605, 2500, 5112, 6390, 1207, 4090, 7786, 5340, 6076, 247, 8501, 8417, 9183, 4582, 2946, 745, 7957, 6416, 1972, 8986, 8480, 9431, 640, 4916, 3911, 5481, 1460, 9579, 5859, 5063, 8422, 2213, 8600, 2404, 3592, 5021, 5834, 7648, 9649, 7280, 3276, 2160, 2223, 6959, 9663, 9473, 4153, 5972, 9043, 4067, 228, 5443, 6155, 9820, 7879, 5682, 1153, 2644, 4631, 2148, 5718, 2165, 7006, 1571, 4138, 6396, 3754, 7026, 2260, 9404, 519, 5772, 4337, 9554, 2798, 8151, 5597, 4021, 4545, 3075, 6408, 5215, 4020, 3159, 7982, 357, 6256, 8825, 1438, 6397, 2999, 8090, 9348, 9091, 7711, 1319, 8307, 7652, 8535, 5801, 1226, 8348, 4211, 3493, 4794, 8794, 9998, 9169, 2982, 6718, 1638, 620, 9809, 3203, 8775, 16, 7495, 5607, 8296, 3874, 623, 8753, 8592, 2100, 2817, 339, 4140, 2920, 3344, 1611, 7358, 4011, 1040, 1179, 3713, 2218, 6467, 8339, 9982, 9720, 1264, 883, 5926, 5654, 1023, 1518, 9372, 6508, 3182, 434, 2865, 2127, 4505, 9170, 2210, 2146, 1669, 9911, 8922, 1890, 2544, 4543, 8549, 8047, 8279, 2252, 7880, 8709, 370, 8222, 1310, 964, 9143, 3223, 9480, 6182, 592, 4623, 2340, 5251, 9314, 6873, 6849, 1305, 6006, 1680, 7419, 1794, 2396, 1932, 4774, 3826, 6097, 4429, 2318, 8162, 4550, 3004, 8563, 403, 4070, 8354, 8928, 6605, 5745, 1663, 420, 5759, 2886, 6391, 2822, 9084, 3763, 3216, 6872, 5193, 8362, 8079, 2475, 1949, 9852, 1676, 3586, 9205, 8319, 53, 4241, 4150, 3268, 5092, 4023, 9006, 9368, 6448, 4144, 5707, 7051, 5377, 4945, 2713, 7861, 7084, 7185, 8945, 7594, 1065, 3591, 6953, 133, 5137, 8519, 5637, 9176, 5530, 3042, 4560, 4324, 9501, 6054, 4530, 2898, 4594, 5914, 8590, 849, 8018, 2733, 2945, 9371, 4729, 1781, 3329, 7673, 9687, 5426, 2345, 6466, 529, 6066, 7090, 674, 2179, 501, 8790, 7459, 1557, 6381, 9047, 8351, 3849, 4714, 2482, 9328, 840, 6183, 4496, 1250, 1666, 232, 3439, 733, 2833, 8139, 15, 8863, 1451, 3291, 1945, 4036, 7038, 8766, 5953, 2824, 6245, 9080, 7740, 8221, 3635, 4781, 5553, 5180, 4646, 5968, 8837, 5364, 7589, 1702, 5717, 2371, 4578, 1128, 5580, 3131, 6287, 2237, 7618, 6144, 9535, 7080, 8292, 7919, 956, 9728, 658, 9740, 7288, 4879, 9247, 1855, 8304, 3734, 1147, 6624, 3584, 7995, 1841, 5754, 1086, 7852, 2856, 3342, 3753, 3001, 4357, 7490, 1263, 8865, 8301, 2431, 210, 5434, 4628, 3085, 6121, 5658, 5824, 21, 3982, 7677, 7887, 556, 7549, 4739, 768, 7017, 2517, 9892, 2629, 1346, 7808, 3046, 290, 6044, 7725, 3272, 7860, 6185, 5690, 9583, 6413, 3231, 9003, 8144, 1304, 604, 6755, 4744, 5610 ], [ 6709, 642, 9021, 123, 793, 3258, 5949, 9493, 913, 5210, 1314, 9253, 6152, 7478, 4851, 1639, 6666, 453, 7918, 5098, 4202, 7154, 2992, 4175, 5747, 9795, 7722, 1692, 1734, 9269, 6350, 5052, 2274, 9513, 8792, 2791, 5111, 1331, 1649, 4109, 6365, 3978, 6264, 1550, 9544, 1560, 8542, 6491, 3121, 7275, 5037, 9318, 9284, 6459, 8640, 1443, 4420, 71, 9756, 9922, 9648, 3811, 1248, 8053, 1413, 2585, 9925, 1007, 9343, 9060, 7980, 1747, 7229, 1316, 1457, 4125, 7550, 7941, 8378, 5889, 2124, 270, 621, 5084, 2969, 1474, 682, 2961, 759, 9962, 7978, 1743, 291, 9106, 3579, 8478, 66, 4129, 8147, 4086, 2652, 1435, 1823, 2502, 1919, 1486, 8846, 8482, 5770, 3225, 9164, 4381, 2996, 2630, 6924, 5903, 6212, 888, 9792, 9815, 5400, 8471, 890, 6135, 113, 942, 2914, 454, 1685, 2437, 8925, 8159, 7708, 5907, 231, 166, 28, 4665, 4540, 243, 3910, 7646, 3034, 6067, 7520, 6805, 4663, 3356, 7281, 4428, 1186, 1673, 8761, 8012, 8262, 5661, 1239, 4581, 7438, 8591, 4424, 3654, 9909, 4242, 7036, 9065, 7282, 3127, 6323, 465, 512, 6708, 3534, 885, 7142, 7164, 235, 7863, 8673, 6110, 3953, 946, 582, 3627, 799, 1353, 7674, 1742, 7454, 6376, 99, 5395, 7262, 9219, 870, 3019, 5032, 7997, 2879, 8479, 4187, 6190, 5746, 3269, 7205, 2251, 7311, 5748, 1017, 1336, 650, 2704, 4406, 2069, 1819, 9202, 2871, 4078, 5371, 7785, 6963, 5184, 275, 5375, 341, 8950, 5238, 4569, 540, 7179, 6808, 5954, 6529, 9698, 6779, 865, 2235, 4012, 2954, 6439, 6893, 5041, 3924, 3767, 4064, 8704, 1627, 3509, 7177, 52, 6862, 7773, 8360, 7733, 4463, 2326, 3002, 5808, 3430, 1824, 3631, 9077, 9193, 2624, 9389, 1290, 2415, 8073, 7321, 859, 4503, 3151, 943, 50, 577, 651, 4394, 5810, 3817, 2027, 2613, 9317, 3520, 6679, 1748, 8086, 7664, 5115, 5090, 4061, 5159, 5792, 9408, 7367, 9211, 5252, 5787, 8887, 3936, 6039, 5803, 1120, 8696, 9801, 342, 7535, 333, 2459, 810, 9747, 3132, 2902, 7137, 3194, 3021, 9133, 9097, 4940, 7375, 8072, 2598, 4994, 4056, 4688, 6385, 3688, 5013, 3979, 5714, 7670, 6668, 3730, 5773, 5977, 175, 6628, 5087, 9174, 3076, 8336, 3637, 6031, 192, 3451, 8769, 8593, 2700, 2760, 2303, 139, 5523, 5546, 1433, 4732, 8216, 286, 9546, 3676, 863, 3215, 6903, 4249, 1704, 5957, 6707, 5291, 7729, 5731, 6692, 2990, 7304, 7461, 8452, 7999, 81, 2784, 4554, 9811, 1655, 2532, 4991, 2949, 618, 1422, 939, 5024, 4164, 7622, 148, 6753, 8836, 3996, 4327, 75, 6763, 4341, 5103, 9475, 1589, 7007, 2702, 2182, 8241, 3661, 6481, 2410, 9185, 1030, 1489, 5123, 7953, 8051, 912, 7337, 4317, 9512, 3134, 7714, 9137, 1762, 4492, 579, 3423, 6815, 212, 5169, 6705, 8843, 4395, 3864, 8252, 7900, 6826, 5020, 2462, 6985, 4497, 6824, 2435, 7450, 7519, 7035, 742, 6576, 5948, 2363, 9223, 5687, 7243, 4100, 699, 747, 1246, 9924, 6956, 6383, 514, 6131, 5844, 9725, 2541, 23, 2967, 2985, 3672, 5559, 7135, 3110, 9059, 5788, 4676, 134, 1123, 3636, 1578, 1024, 4472, 5568, 5277, 6460, 719, 2375, 5350, 3295, 5229, 3736, 3221, 8911, 8359, 2565, 7244, 226, 3453, 1406, 7134, 8341, 958, 1143, 3869, 4700, 9374, 3165, 770, 314, 349, 9697, 3638, 2111, 5861, 9980, 5630, 3739, 372, 1060, 9054, 3252, 9254, 1701, 5038, 9340, 6260, 9215, 6036, 41, 8432, 299, 6268, 2438, 7442, 3359, 5842, 4098, 4203, 2240, 3245, 5216, 1088, 8093, 3343, 7132, 6926, 2960, 4760, 8866, 7797, 3450, 3107, 3240, 9634, 1614, 6607, 7238, 769, 717, 4279, 7748, 5928, 1860, 6547, 4598, 7960, 8755, 5576, 4291, 5469, 2912, 7512, 1334, 8243, 9805, 4005, 373, 1904, 7441, 3033, 2487, 6117, 1103, 2606, 4931, 8948, 6315, 461, 8518, 2786, 7807, 8930, 8882, 2848, 5893, 3054, 5367, 3838, 3475, 3829, 9308, 1887, 3218, 5925, 8787, 9549, 7681, 9283, 3806, 5520, 5560, 8208, 1011, 2903, 5713, 6852, 8129, 9716, 4456, 9868, 8064, 6179, 6580, 2648, 6192, 5578, 1249, 9668, 7197, 5660, 3587, 666, 3717, 4436, 7675, 9214, 8403, 9273, 2747, 172, 1214, 5979, 4195, 5323, 3836, 5696, 5729, 5901, 3951, 6329, 3232, 3059, 2819, 1613, 6865, 8145, 5863, 6918, 5134, 694, 580, 7659, 8204, 9126, 5605, 1577, 4909, 5552, 5956, 3161, 1446, 4510, 1591, 6931, 6010, 9252, 3955, 586, 7514, 4724, 3575, 8728, 3316, 2176, 4856, 7003, 5542, 91, 6732, 5939, 8146, 3228, 909, 3080, 3926, 504, 5482, 6909, 2567, 6275, 4244, 7869, 9358, 4662, 2796, 56, 9350, 4396, 4740, 6823, 3020, 7247, 9952, 8150, 6500, 2308, 1044, 880, 7599, 7327, 4993, 2352, 813, 2674, 9691, 4556, 2432, 7330, 9197, 7377, 8934, 5873, 9506, 6569, 5416, 8734, 5723, 7573, 7775, 7101, 526, 8429, 3003, 1759, 9594, 6874, 2608, 3335, 2944, 5847, 7528, 5812, 7187, 4584, 9832, 4983, 536, 8829, 2512, 2445, 9821, 8209, 2952, 1170, 864, 7966, 3943, 7147, 6047, 6293, 5797, 3598, 5258, 6157, 7812, 9110, 9171, 9376, 1703, 726, 7195, 2433, 7287, 9052, 189, 822, 2591, 167, 4071, 8454, 8223, 6671, 8163, 4567, 2539, 3524, 4816, 9138, 8460, 3139, 6106, 3318, 1910, 2382, 7356, 1114, 5266, 9243, 5584, 5322, 4033, 4376, 9545, 5199, 1987, 7691, 8870, 9425, 8588, 7928, 4968, 3596, 3939, 6169, 9471, 7363, 8075, 5337, 9085, 6778, 498, 2905, 538, 6830, 2725, 418, 5505, 2557, 6565, 6533, 7885, 3320, 1707, 8943, 9682, 3302, 8963, 7127, 994, 656, 6038, 1810, 2073, 6137, 3206, 4957, 2294, 8029, 3779, 285, 9699, 8647, 8050, 9799, 3599, 554, 1808, 7671, 5483, 8703, 8743, 8255, 3363, 7425, 8042, 48, 6777, 9771, 806, 9119, 2141, 8007, 8329, 2304, 207, 3377, 2092, 7014, 1211, 4772, 2037, 2288, 1256, 3313, 1873, 6395, 2632, 6585, 366, 9414, 2592, 8971, 644, 8142, 348, 6621, 989, 4535, 8694, 1216, 6537, 9615, 4460, 9596, 5408, 5629, 736, 4630, 343, 1954, 7121, 9258, 6667, 8529, 4030, 3540, 1046, 1714, 2378, 8929, 51, 8914, 6079, 184, 6876, 7100, 6923, 1115, 6215, 9758, 1594, 2463, 7734, 6341, 5246, 4907, 2766, 6847, 4511, 2716, 477, 1337, 613, 2910, 9666, 692, 5906, 6730, 6850, 281, 8046, 9745, 2478, 2774, 249, 499, 8266, 4754, 8033, 7538, 4966, 82, 2152, 3027, 1719, 3094, 4678, 4081, 8814, 2751, 5430, 4683, 2299, 4148, 2362, 5685, 2167, 7235, 5817, 9206, 7145, 2659, 8980, 3743, 7795, 8022, 4613, 7907, 3720, 8714, 5054, 4962, 7683, 4776, 151, 1349, 7838, 3183, 820, 6104, 6314, 7095, 3802, 9324, 4805, 6200, 5033, 8726, 7961, 8543, 8224, 7587, 7307, 9334, 6902, 1940, 6059, 7268, 788, 8240, 869, 3518, 3613, 7289, 3695, 2338, 5420, 8752, 2525, 8254, 6726, 8878, 7603, 9123, 4197, 7259, 3999, 1075, 55, 3476, 8782, 8428, 272, 8699, 3536, 7075, 3397, 5, 8164, 8468, 9719, 4476, 8251, 4288, 1758, 9539, 6442, 6004, 3111, 1146, 8528, 4681, 3204, 2457, 110, 5106, 2234, 5073, 2048, 4102, 4029, 4380, 5930, 3644, 8406, 9641, 4147, 7641, 1811, 5138, 696, 1576, 8933, 7700, 8436, 5445, 8567, 9299, 9083, 6388, 9295, 8028, 2076, 7463, 4458, 3709, 6483, 8413, 3721, 932, 7728, 8879, 6166, 8437, 5012, 6626, 3789, 8258, 73, 7001, 3025, 4172, 2323, 1983, 5349, 2074, 9888, 3330, 1272, 1321, 1227, 3651, 2767, 5742, 6583, 1391, 4669, 9109, 193, 510, 5946, 1378, 5218, 5303, 436, 842, 2626, 3265, 1996, 8016, 812, 7489, 1154, 2397, 950, 937, 3528, 3772, 8347, 9390, 5694, 6262, 8935, 5896, 9458, 4852, 4260, 8905, 2036, 4866, 256, 2618, 3745, 1213, 5485, 6029, 9734, 4091, 1098, 7446, 6836, 2486, 5333, 2052, 7771, 1826, 9224, 2938, 2534, 1241, 872, 2429, 9081, 9490, 4767, 1581, 4243, 2496, 387, 4725, 7002, 5329, 7921, 6371, 4771, 475, 1513, 7309, 5676, 2540, 9530, 32, 1276, 2351, 8275, 3187, 9104, 9384, 3727, 4786, 3337, 8434, 9667, 5781, 6170, 7078, 3617, 3267, 5431, 4486, 2164, 5127, 3846, 9816, 5108, 9906, 1784, 2461, 1201, 4142, 1869, 6504, 5164, 6870, 6261, 8226, 5686, 9625, 2344, 8917, 2745, 609, 6238, 3833, 5940, 7111, 5105, 4293, 5541, 4855, 9497, 9012, 755, 2889, 3656, 8533, 6119, 6810, 6428, 9013, 2325, 7605, 3171, 7312, 9749, 2106, 1643, 9394, 3632, 6360, 1683, 1801, 4047, 9008, 3834, 3334, 3962, 4066, 6720, 1601, 7211, 7979, 7688, 426, 3871, 7044, 3690, 3543, 3496, 2849, 7501, 9464, 1383, 44, 2638, 9575, 6574, 6834, 5931, 1902, 1139, 2554, 5131, 4290, 3942, 2168, 957, 7093, 8617, 7881, 2775, 862, 9640, 242, 7319, 3234, 6551, 4478, 5708, 7395, 2454, 9950, 8738, 3415, 7348, 3044, 4986, 4743, 1223, 7274, 5804, 7518, 6331, 6509, 9279, 610, 9195, 4583, 9000, 4152, 6375, 657, 8847, 967, 8599, 4041, 5649, 5473, 5648, 5688, 6340, 9566, 34, 7530, 2661, 2844, 58, 3357, 4018, 7285, 278, 1806, 4708, 7846, 358, 8736, 1382, 6065, 5831, 6424, 1440, 8547, 8620, 5933, 1385, 4399, 8804, 4284, 1175, 6386, 1896, 4618, 6617, 9229, 3669, 1101, 9706, 7793, 5454, 4326, 3574, 2169, 978, 4435, 3375, 6560, 8807, 9978, 9658, 6749, 675, 3105, 5749, 6684, 4430, 6899, 4475, 563, 9730, 4446, 2320, 5504, 2187, 7286, 3625, 4829, 421, 3735, 8845, 731, 6254, 470, 3894, 7924, 5971, 3230, 7666, 4742, 3011, 6316, 752, 2272, 4903, 5124, 7747, 3374, 7755, 6900, 4827, 6319, 2207, 8236, 6330, 9485, 1727, 9812, 2963, 949, 2832, 5909, 6989, 9355, 502, 2279, 3545, 5422, 430, 1431, 7166, 3618, 3563, 3129, 5077, 8025, 681, 2334, 1654, 3284, 4997, 9057, 6081, 2615, 3799, 528, 6606, 7824, 9365, 3239, 125, 8607, 828, 7552, 3369, 6655, 2757, 7636, 5165, 3933, 171, 6111, 8167, 9876, 5709, 2828, 4878, 8650, 4271, 9326, 2001, 5947, 4885, 9659, 4611, 8594, 1923, 1960, 557, 3639, 5344, 9536, 3902, 5057, 2191, 4507, 6564, 9260, 5142, 236, 6324, 9992, 8760, 9993, 381, 871, 7114, 4680, 8447, 3331, 5484, 3568, 3362, 7913, 7361, 4269, 2349, 893, 3482, 8332, 3506, 3519, 1490, 1605, 7533, 8300, 347, 1096, 8853, 7719, 5904, 6987, 7991, 4682, 2939, 9349, 4289, 9606, 7034, 6990, 8455, 3906, 8824, 7043, 815, 11, 2226, 8399, 6040, 3409, 4473, 377, 6437, 7083, 154, 1750, 1937, 9432, 3404, 7499, 6721, 9516, 8125, 9267, 5383, 1059, 2368, 9250, 8302, 4431, 2637, 8245, 8100, 5244, 1471, 3441, 5875, 1912, 6828, 9901, 6742, 5113, 484, 6206, 4713, 8844, 6480, 4922, 638, 5213, 9042, 7431, 6422, 3280, 8646, 2056, 407, 1569, 2594, 3135, 1882, 5122, 8106, 7184, 61, 8788, 9940, 3366, 9611, 1770, 3914, 1222, 5995, 8861, 146, 3659, 6502, 5121, 7644, 4595, 8135, 4042, 5563, 3326, 5249, 7948, 6731, 5373, 6344, 2451, 7668, 9108, 4716, 4383, 1298, 961, 619, 3866, 9407, 965, 4490, 7196, 9455, 1907, 5693, 9140, 715, 4151, 9617, 1708, 3006, 4890, 5720, 3705, 5155, 5472, 7284, 4639, 3918, 2071, 4652, 6760, 4145, 1973, 8118, 9931, 3807, 5168, 6346, 129, 9330, 8903, 505, 9382, 8666, 1646, 5154, 3373, 6050, 7579, 9781, 4712, 2031, 3995, 1617, 7277, 6557, 677, 2642, 5604, 9129, 1665, 8767, 8310, 6274, 7531, 8054, 4349, 5884, 2121, 6892, 238, 3036, 1265, 2609, 7721, 637, 991, 3202, 3261, 3729, 6999, 5196, 9829, 2631, 4541, 3081, 5284, 4888, 22, 3535, 3389, 274, 5758, 5189, 8745, 2422, 1668, 263, 2570, 9938, 1533, 6091, 5501, 7339, 3045, 6603, 1369, 4793, 7833, 8132, 7258, 1217, 7525, 8681, 8937, 4265, 3483, 3885, 8962, 1012, 6080, 7857, 4947, 4863, 4517, 9221, 3814, 464, 4467, 3464, 8944, 5135, 5048, 3891, 4450, 7871, 180, 2669, 7698, 5943, 2677, 802, 6239, 3921, 607, 7898, 1631, 8867, 1531, 8785, 5860, 4896, 7899, 3255, 7081, 3733, 4250, 8894, 9718, 6277, 4734, 8811, 3031, 2311, 8772, 3378, 9058, 2884, 4616, 5531, 3237, 2253, 9918, 6820, 3060, 6806, 1420, 6722, 6204, 8548, 8750, 676, 4311, 787, 8966, 7799, 663, 8659, 5002, 4278, 599, 4275, 1562, 1984, 4133, 7124, 4079, 8711, 3351, 9732, 4161, 2257, 3189, 649, 9942, 1116, 1218, 1161, 9626, 3681, 564, 4864, 2930, 1648, 1608, 4911, 4180, 7039, 6326, 796, 830, 5044, 891, 6007, 7214, 5923, 6636, 3572, 3988, 1405, 3552, 7920, 9818, 6368, 8989, 5876, 8603, 4692, 7133, 4651, 8508, 1995, 1706, 7627, 8201, 4300, 1833, 4783, 6980, 8910, 5679, 7762, 4589, 493, 3856, 6818, 6288, 7873, 8678, 6090, 7513, 2145, 2439, 5079, 248, 6581, 7420, 5144, 2011, 3867, 3851, 2948, 5004, 954, 8609, 4338, 5179, 8748, 972, 5958, 9856, 2084, 9555, 2563, 1721, 7820, 1977, 8044, 480, 8475, 603, 353, 6922, 8624, 4335, 8327, 9894, 4025, 7923, 6289, 9960, 288, 2380, 5031, 4182, 8667, 6520, 998, 8446, 9639, 7148, 5182, 5319, 4862, 8658, 8556, 3508, 7789, 5695, 408, 7735, 7776, 7380, 9865, 6338, 6227, 710, 835, 6898, 4690, 6838, 6189, 511, 5304, 1307, 1787, 8939, 8368, 5355, 574, 9884, 85, 1946, 4186, 5424, 3976, 6783, 897, 9459, 4057, 2660, 5590, 6991, 7359, 8152, 3909, 728, 6618, 9120, 7819, 3858, 4538, 1280, 2005, 2530, 2374, 9367, 6322, 6447, 9460, 1698, 4044, 4610, 8739, 2394, 9515, 7150, 4573, 6320, 1705, 973, 9256, 5388, 1868, 4169, 4006, 5646, 8595, 7555, 2359, 6411, 266, 3293, 3932 ], [ 6930, 5900, 3755, 2896, 4552, 3852, 4059, 6538, 9624, 5237, 220, 8496, 308, 7527, 7318, 1049, 3478, 6505, 7635, 5230, 7651, 4355, 2636, 3503, 3801, 6207, 7818, 9255, 6470, 5085, 6267, 660, 6728, 3012, 9337, 3190, 8281, 8445, 6647, 4813, 2007, 4930, 7115, 4209, 7024, 3624, 3264, 665, 3047, 5436, 2937, 3697, 7053, 2492, 8663, 4207, 9903, 3336, 1894, 7453, 6464, 9135, 1993, 6946, 792, 4703, 988, 7523, 960, 9523, 3726, 7654, 3642, 3120, 6966, 6867, 3226, 3290, 223, 4559, 5028, 1717, 4009, 1001, 4328, 9684, 9742, 6768, 1677, 4267, 9413, 4389, 9474, 6524, 9467, 8852, 1567, 8632, 6573, 6418, 2739, 7335, 8416, 3860, 9985, 7570, 2243, 6159, 968, 4551, 3928, 131, 6203, 1671, 4273, 8662, 6942, 6251, 7476, 8848, 9307, 7131, 8706, 8850, 854, 5435, 9705, 3931, 8820, 9910, 2918, 2634, 8228, 3227, 3275, 8000, 7585, 7590, 1300, 4415, 2305, 4116, 8180, 4833, 2055, 3877, 3689, 8859, 6646, 549, 3257, 6077, 7553, 8205, 3471, 9521, 8838, 3421, 2077, 1185, 7895, 4455, 3776, 2384, 3392, 8517, 7305, 4764, 4154, 2416, 721, 7574, 2783, 8492, 8718, 8515, 5841, 4950, 413, 2217, 3358, 7956, 186, 9588, 1244, 194, 9435, 3848, 9187, 7260, 6380, 8992, 4024, 5460, 1793, 5241, 4883, 5883, 6034, 852, 9393, 3030, 1407, 3952, 911, 1976, 173, 4941, 332, 3434, 7756, 371, 5539, 442, 6690, 3601, 5663, 4048, 6429, 4892, 2947, 7540, 6367, 1325, 3314, 8334, 5551, 2381, 8227, 9785, 289, 8702, 5200, 8732, 5495, 2209, 3718, 8165, 2319, 3845, 5194, 9203, 1202, 97, 200, 7662, 8524, 6736, 8527, 1255, 7107, 4799, 1210, 9862, 8298, 126, 5058, 3347, 761, 2851, 730, 9828, 7676, 7494, 6854, 2693, 4520, 3703, 8175, 4419, 4115, 144, 9309, 4672, 2175, 1491, 5317, 60, 9249, 7784, 2722, 5532, 1785, 9999, 1760, 2346, 1374, 2401, 8568, 59, 6848, 7713, 5738, 9565, 4239, 9673, 5236, 758, 3684, 9943, 9802, 2406, 3176, 6451, 2199, 6788, 7424, 8642, 6804, 8893, 4194, 6211, 6738, 3778, 9177, 633, 9236, 9826, 7614, 9636, 5858, 8401, 6177, 4470, 8059, 8490, 1928, 3164, 5401, 4255, 326, 3760, 4468, 5311, 6835, 2712, 6199, 2424, 3178, 1447, 3903, 302, 4513, 4524, 6905, 4650, 9264, 8558, 8270, 2324, 6222, 6964, 6476, 8382, 1233, 3916, 6863, 541, 959, 4845, 975, 8174, 7455, 9342, 5294, 6527, 542, 3992, 5691, 7458, 2214, 8247, 2981, 4906, 2750, 2703, 8439, 5203, 9378, 3975, 7233, 428, 6180, 8206, 3622, 4933, 6359, 1364, 7891, 4701, 8656, 4092, 3504, 1136, 722, 3414, 4461, 3507, 7560, 6695, 4181, 5897, 5019, 3103, 7693, 8220, 5612, 5642, 7401, 2139, 7331, 8740, 5029, 335, 2987, 7326, 8111, 4884, 1844, 6435, 1840, 1365, 8124, 1510, 782, 135, 1545, 7787, 4013, 3652, 7130, 5023, 5221, 8955, 1002, 7226, 1800, 6665, 8569, 2211, 5320, 1317, 3958, 6015, 9018, 6361, 9905, 1395, 4963, 2002, 9246, 1302, 1541, 6265, 6456, 6916, 6754, 6387, 2015, 5919, 2155, 7770, 9149, 4661, 807, 9107, 6083, 9297, 6431, 7427, 5150, 5307, 6248, 1119, 1126, 5042, 837, 1330, 6775, 7915, 3680, 6882, 7757, 3698, 2741, 5362, 441, 252, 5104, 2122, 124, 329, 4252, 2201, 6657, 6163, 9848, 3922, 534, 986, 4842, 2548, 7344, 5407, 7703, 1628, 3043, 3913, 1553, 9798, 5978, 9240, 4964, 395, 6463, 8244, 2455, 2516, 8682, 5356, 6145, 4499, 150, 6766, 2082, 4474, 7988, 7022, 325, 8173, 8248, 3449, 1558, 1897, 415, 5223, 5581, 5603, 3843, 6843, 3887, 2915, 2919, 161, 906, 328, 4422, 6035, 2897, 6037, 361, 3152, 3082, 6789, 3400, 5566, 2888, 5627, 5719, 8890, 4674, 3812, 1039, 7910, 9067, 2287, 3945, 7417, 2771, 2284, 7212, 6714, 4457, 9711, 9245, 8998, 1641, 8486, 8372, 1730, 4124, 8202, 4301, 2538, 3521, 9537, 5574, 7925, 5226, 8759, 2861, 8002, 6771, 892, 3263, 9847, 1479, 4731, 3614, 9556, 1464, 2719, 76, 8690, 2261, 446, 9220, 2718, 2611, 3463, 6629, 8286, 7760, 8373, 9599, 6474, 2526, 7272, 6832, 612, 3878, 8826, 7011, 4625, 5261, 6519, 2709, 5677, 1177, 7387, 8415, 5453, 3609, 3990, 3452, 5499, 3971, 5211, 1754, 3972, 9574, 2205, 9160, 2023, 8352, 8197, 553, 6005, 3791, 8353, 513, 36, 1499, 7040, 2131, 5097, 65, 9675, 8316, 9209, 4358, 506, 3209, 7392, 5845, 2779, 3537, 4105, 7046, 2379, 8522, 7955, 3533, 9484, 8134, 9704, 791, 6761, 2837, 558, 9524, 6790, 6242, 4603, 6844, 7695, 5493, 1590, 4974, 7515, 1642, 5295, 573, 9071, 7481, 359, 5308, 9165, 9051, 9863, 7655, 3991, 388, 6591, 585, 5557, 2047, 5565, 6908, 4959, 234, 5524, 301, 8442, 356, 6561, 9689, 4654, 6419, 9622, 9916, 8902, 4738, 9628, 4730, 3128, 5631, 9184, 6202, 9468, 2221, 3091, 3405, 4386, 3410, 8333, 2510, 8613, 1695, 9678, 208, 5737, 8185, 3474, 375, 2955, 2147, 7858, 1953, 9987, 3244, 3664, 9880, 7293, 9352, 2588, 6886, 3454, 487, 775, 739, 3492, 6995, 6126, 4750, 9313, 3804, 4229, 5396, 3987, 5125, 6298, 9737, 6138, 919, 724, 4052, 6702, 4967, 9610, 7835, 5148, 1141, 7182, 9111, 5468, 2736, 4696, 734, 2645, 2481, 9696, 2491, 5185, 9022, 4699, 6399, 9715, 7161, 4485, 4022, 4954, 9550, 9377, 9900, 617, 3117, 5871, 5963, 9517, 5989, 9074, 1053, 7302, 8238, 5438, 6935, 2434, 5761, 3106, 6531, 1073, 6556, 7435, 5250, 2200, 5579, 7105, 7315, 3140, 4156, 5846, 3364, 7650, 9836, 67, 1682, 5869, 4264, 3704, 8444, 5775, 9395, 9168, 1008, 5348, 9346, 2850, 7488, 798, 3875, 2212, 2857, 2430, 141, 6968, 2083, 8974, 3137, 3067, 7779, 8823, 3551, 2383, 8122, 5683, 6286, 8045, 5945, 548, 7805, 43, 907, 410, 3839, 2161, 2979, 2051, 8606, 7373, 224, 4898, 2545, 8253, 1005, 1082, 6045, 2616, 3855, 7029, 2974, 2269, 317, 1697, 5725, 4768, 6140, 6904, 2731, 3920, 1022, 8885, 3989, 6518, 3751, 9837, 7581, 1517, 4050, 6472, 5279, 9088, 3448, 7848, 2366, 4388, 7146, 7219, 5314, 3142, 8488, 8897, 1340, 7517, 1279, 7844, 8299, 7342, 9441, 3090, 8997, 8931, 9482, 1728, 4785, 2975, 8668, 3731, 606, 6503, 4254, 4405, 7352, 7422, 8472, 369, 4759, 9039, 6497, 4924, 7413, 7193, 3486, 9779, 1283, 7120, 5197, 136, 157, 2376, 701, 8056, 8619, 2132, 451, 4238, 1418, 1585, 2508, 1679, 7761, 4162, 3564, 3934, 8831, 2793, 9791, 7486, 9643, 8404, 9654, 4553, 5143, 83, 3394, 2711, 8283, 4818, 8551, 5666, 3256, 6682, 6008, 6644, 3315, 684, 9686, 2024, 3303, 3605, 984, 4295, 3037, 8926, 2729, 4811, 648, 6663, 6473, 120, 8566, 8374, 6678, 9968, 596, 4494, 5391, 4363, 9380, 9281, 1565, 3250, 8303, 6184, 165, 8325, 4121, 8324, 8038, 1408, 1818, 5632, 1918, 7323, 4493, 9026, 4171, 7658, 2286, 3706, 2049, 6165, 646, 3792, 7851, 6513, 2797, 7369, 5298, 9002, 3773, 9651, 8687, 5850, 6339, 9788, 4973, 9304, 3174, 4519, 2599, 1535, 6158, 4871, 1970, 1394, 5449, 8036, 5074, 9207, 2040, 4711, 3079, 1500, 4427, 5886, 6058, 5324, 5615, 5921, 1131, 9966, 9457, 1687, 1327, 841, 2203, 7173, 5600, 2489, 7823, 8169, 7207, 107, 230, 5975, 1228, 6878, 9421, 4200, 5891, 1816, 2687, 5990, 3083, 1271, 3013, 6975, 4230, 9994, 771, 5777, 3122, 9867, 9068, 2513, 980, 2219, 4657, 8975, 686, 6016, 9787, 2933, 6670, 1245, 7112, 5806, 6445, 507, 8812, 7853, 7270, 3616, 2740, 6100, 122, 2350, 6462, 3391, 8357, 9339, 4339, 482, 643, 2109, 9681, 8589, 5852, 4375, 5088, 5527, 3386, 1653, 7479, 5776, 7251, 6362, 9142, 7800, 1344, 3322, 5815, 3212, 9428, 4831, 3775, 5892, 7746, 6458, 5081, 1725, 5070, 5068, 1215, 4051, 4620, 6482, 2112, 537, 8130, 8993, 9877, 9257, 9019, 2928, 6745, 462, 488, 1430, 9646, 143, 7949, 9466, 3371, 2566, 3177, 9162, 280, 1091, 2400, 2691, 6266, 5998, 8008, 9700, 9354, 3798, 2962, 2310, 9578, 5411, 5247, 3679, 1724, 5593, 2869, 6354, 7426, 445, 1988, 8873, 7657, 3180, 6619, 2924, 26, 1318, 112, 6853, 5774, 5535, 8104, 262, 6543, 8809, 5616, 3884, 1427, 3104, 4408, 8683, 7186, 6740, 766, 2584, 8457, 1373, 8421, 5055, 6160, 8571, 3512, 9121, 9341, 3649, 2676, 2373, 6453, 7194, 7237, 2050, 8984, 5571, 3253, 2239, 4577, 2590, 7566, 6496, 605, 4135, 3163, 6703, 750, 8561, 211, 8972, 8268, 1461, 1142, 4285, 5902, 3723, 7777, 4978, 2555, 6927, 4017, 7027, 9522, 1064, 1113, 6947, 2136, 6055, 109, 1961, 3445, 5760, 3930, 1268, 3055, 391, 2337, 3808, 8868, 8276, 9152, 4447, 4946, 8380, 2752, 9581, 8643, 9296, 5641, 304, 7087, 8633, 6321, 5830, 6178, 5822, 142, 9568, 5741, 1274, 4643, 4777, 6432, 7629, 4741, 2129, 4534, 3348, 8116, 5626, 5572, 7802, 4525, 2505, 4666, 524, 8477, 5227, 5606, 760, 2156, 1922, 6681, 8611, 7901, 4720, 5936, 6842, 6282, 6196, 838, 2683, 562, 9087, 9946, 8188, 6018, 1903, 9548, 2907, 404, 2039, 8074, 3750, 9167, 5805, 7391, 850, 2527, 2867, 4512, 185, 1893, 948, 6839, 2863, 5050, 5765, 1403, 8539, 8907, 2855, 8213, 9907, 3994, 8941, 6309, 1387, 4104, 2842, 7265, 163, 6925, 6270, 6426, 2593, 3338, 6226, 7122, 7141, 5736, 3908, 9945, 2811, 8884, 9751, 5301, 5973, 6154, 215, 8664, 7684, 6817, 2972, 111, 2395, 6750, 5403, 8099, 4912, 7021, 2134, 102, 351, 6414, 4990, 4330, 2495, 1193, 718, 7094, 1607, 8041, 5927, 9949, 9075, 2556, 7291, 9748, 6052, 4143, 7069, 1660, 198, 3333, 6347, 8098, 1738, 2891, 5080, 8924, 9015, 237, 9496, 7203, 641, 4637, 8108, 3005, 1212, 3797, 3948, 5214, 6967, 4076, 6433, 1792, 4287, 9028, 5418, 1998, 9520, 2658, 2762, 6148, 5905, 5786, 3835, 6118, 5363, 7710, 4982, 797, 4844, 4107, 5768, 3419, 8754, 1874, 6328, 6384, 3158, 6027, 1710, 6042, 5361, 5935, 5153, 935, 1390, 9592, 9845, 2409, 3699, 3794, 8581, 350, 6694, 5780, 8121, 9762, 4897, 1830, 4937, 9033, 7079, 581, 4032, 5120, 1933, 1857, 9782, 9935, 8249, 7801, 4549, 9201, 9204, 1014, 916, 2192, 5733, 1498, 4621, 8631, 6162, 9316, 9932, 8420, 1845, 6889, 532, 4617, 898, 8358, 8947, 9321, 2254, 1847, 8655, 4303, 4955, 9420, 9569, 8345, 7394, 7019, 7180, 4261, 7837, 627, 5083, 2417, 4234, 8856, 4707, 6588, 1375, 5558, 7381, 1539, 5045, 4865, 1803, 1982, 3646, 1117, 6784, 5533, 3531, 691, 2872, 1559, 9786, 9724, 6746, 1148, 2858, 2093, 4111, 2012, 829, 3722, 6994, 2436, 7854, 8320, 7322, 5657, 7264, 4926, 1356, 716, 9411, 3465, 2193, 4936, 3514, 6669, 1501, 4372, 2595, 149, 4112, 811, 5128, 3795, 2256, 7334, 5466, 6412, 8506, 7845, 7432, 4245, 6220, 5427, 6713, 1547, 9357, 87, 9262, 5027, 2503, 3724, 5412, 394, 4995, 4437, 941, 1574, 4077, 3670, 8110, 9990, 3595, 5644, 4501, 4103, 1935, 4632, 9733, 1538, 2854, 1786, 416, 6662, 3056, 2180, 196, 2664, 466, 5461, 4868, 1232, 3175, 3583, 6290, 9971, 6940, 5724, 8183, 5704, 8822, 1458, 3062, 6415, 5526, 9825, 9312, 2956, 5710, 6019, 3556, 439, 4002, 1006, 6244, 9409, 823, 6568, 3424, 8555, 9398, 7663, 3433, 1278, 5233, 5452, 2772, 7477, 4378, 3260, 8892, 1236, 7647, 2483, 1652, 4915, 4918, 3896, 5040, 855, 9557, 6101, 5911, 2104, 7623, 2511, 9563, 1693, 5282, 922, 5932, 879, 7310, 7580, 567, 2241, 174, 3181, 4487, 7447, 800, 9478, 3886, 3740, 4780, 4942, 4259, 2485, 7370, 9218, 7850, 2623, 1906, 6487, 1270, 1033, 307, 9573, 4757, 7649, 1089, 2114, 5920, 1180, 8489, 4214, 9541, 4626, 5007, 6127, 4348, 3707, 8305, 7474, 8288, 5913, 709, 2754, 8278, 2095, 9580, 221, 5750, 9635, 5960, 8973, 3093, 1593, 6976, 4039, 8133, 2028, 2268, 7843, 5130, 2081, 6303, 9736, 2188, 4183, 1515, 4306, 3425, 1284, 3167, 12, 5166, 6656, 7959, 1884, 1925, 6273, 4927, 8577, 2825, 4647, 6423, 2531, 6404, 1208, 7170, 1436, 1713, 1592, 2829, 9029, 4735, 478, 378, 1606, 1881, 1548, 6017, 1261, 7661, 9576, 8449, 631, 8084, 116, 4938, 1737, 7460, 1234, 7374, 6677, 5149, 7690, 9538, 7266, 9896, 2173, 1853, 7763, 2484, 9694, 673, 155, 8031, 2407, 3354, 8214, 1473, 6814, 6552, 543, 164, 8032, 4379, 4165, 9505, 4361, 6452, 7328, 1980, 9024, 9462, 3222, 3305, 8516, 1586, 8377, 7610, 5397, 2550, 9239, 2170, 9895, 8391, 3879, 5766, 615, 7507, 4205, 2622, 4000, 9070, 9695, 1838, 179, 7679, 6696, 5966, 3472, 8412, 5697, 1525, 8386, 3372, 3571, 5620, 406, 7165, 9744, 7355, 1361, 5365, 1546, 8474, 9973, 8537, 4812, 1686, 5885, 4536, 6223, 9794, 8005, 259, 2225, 1851, 8215, 790, 6153, 2706, 6595, 9904, 5980, 6640, 5474, 9232, 8991, 9282, 7905, 7876, 9776, 509, 5999, 9191, 9773, 924, 6295, 7769, 4528, 5500, 5270, 2965, 3732, 6132, 1529, 8504, 6871, 3201, 3970, 4502, 9967, 4784, 8799, 8869, 8219, 9294, 4565, 5011, 3774, 2388, 996, 2991, 1992, 9822, 245, 3977, 7085, 1133, 3868, 2549, 3387, 6981, 2901, 90, 3747, 4073, 1718, 158, 552, 1626, 2307, 6658, 9131, 2138, 8810, 92, 5918, 9064, 121, 1955, 5951, 4498, 7263, 1173, 2119, 7689, 4354, 1723, 6279, 7254, 8795, 8166, 9180, 6098, 3328, 6103, 7534, 521, 3247, 7712, 711, 1462, 2033, 6971, 6635, 1497, 2787, 4465, 1494, 6741, 9891, 6392, 1254, 5110, 668, 7465, 9278, 6896, 9198, 7660, 1908, 2128 ], [ 6951, 8817, 8639, 9403, 8123, 3589, 417, 9375, 845, 8701, 5003, 4705, 9286, 9970, 4847, 4758, 9396, 8006, 3007, 3210, 5231, 7972, 3341, 8808, 3437, 5187, 9336, 1892, 5446, 5163, 2721, 4385, 2748, 9251, 7875, 3905, 1795, 8203, 1439, 3687, 9934, 2743, 1350, 3088, 2258, 2035, 762, 2125, 743, 1664, 5825, 9433, 9955, 5716, 3200, 4504, 1070, 5827, 7612, 5609, 6406, 3285, 8190, 3461, 8665, 1124, 8431, 8315, 598, 8003, 6883, 7004, 8627, 1862, 3561, 5703, 1570, 3701, 458, 6296, 9768, 8306, 4737, 8680, 6337, 6660, 4568, 4122, 7106, 8257, 9429, 9292, 780, 4773, 7732, 6403, 8389, 5208, 4770, 5890, 1696, 8602, 2206, 3498, 8988, 3691, 2537, 6492, 4622, 6233, 8796, 7595, 5140, 1852, 4113, 8398, 6022, 9194, 2906, 7202, 3406, 1106, 9216, 3898, 9790, 9685, 776, 6914, 4984, 5479, 6092, 7181, 7117, 8553, 881, 3573, 4302, 1048, 5938, 6546, 4557, 7828, 114, 4790, 0, 7086, 9567, 6715, 2157, 6698, 545, 1187, 2115, 2392, 9840, 8909, 9181, 5962, 9333, 8881, 515, 4910, 8049, 5681, 8815, 990, 1775, 476, 9764, 6550, 8495, 3633, 5302, 2941, 4117, 3973, 1411, 8082, 8932, 2403, 9127, 3769, 568, 5993, 5992, 1986, 4948, 1415, 1736, 8574, 8027, 9589, 4710, 2086, 3805, 1056, 3859, 1561, 3271, 833, 6259, 9543, 2612, 601, 4270, 3061, 3236, 1771, 2870, 9872, 708, 6440, 933, 8538, 8371, 7230, 5318, 5796, 8004, 517, 1401, 6512, 460, 8230, 379, 8361, 7434, 9359, 7862, 2003, 473, 7866, 915, 9939, 2398, 3157, 9444, 3820, 4971, 9560, 305, 2697, 7140, 7774, 4533, 8128, 9196, 4529, 2041, 4709, 1532, 7569, 3497, 9150, 7012, 4240, 757, 2150, 3345, 7557, 7218, 3403, 1765, 3968, 8364, 7273, 8170, 2803, 6240, 7621, 8968, 4015, 5818, 1182, 7058, 6919, 2571, 8187, 1050, 9562, 399, 6283, 706, 4593, 921, 3761, 9322, 2610, 3123, 2893, 6553, 6351, 8961, 2707, 1009, 2665, 4693, 4356, 1572, 4602, 5239, 7938, 2358, 9094, 6230, 2873, 1635, 2281, 2758, 825, 1448, 2673, 3821, 9963, 3959, 2172, 6102, 4673, 5072, 2367, 4268, 9890, 3032, 5157, 1505, 9616, 7224, 3667, 1634, 345, 6822, 9766, 1020, 3069, 9096, 2248, 1174, 7731, 5549, 4344, 3919, 258, 4189, 2063, 6300, 4410, 4881, 4038, 6937, 4440, 6725, 5598, 8318, 6739, 5209, 1528, 9665, 4316, 4277, 9178, 9418, 908, 6609, 1990, 8014, 6348, 3954, 955, 8513, 9017, 9040, 520, 4943, 9662, 169, 2293, 9727, 6944, 412, 8250, 1657, 2021, 6910, 5673, 6548, 6308, 1778, 2782, 3379, 7032, 2265, 9800, 5228, 7822, 5331, 2045, 9242, 7128, 3383, 4614, 6051, 3893, 3446, 233, 3179, 3124, 8545, 1282, 1125, 5183, 1288, 2761, 2524, 279, 7276, 2843, 5667, 70, 4045, 5711, 1813, 3825, 1508, 4247, 1294, 9030, 8598, 9086, 4043, 6858, 5274, 9693, 7680, 4935, 6313, 8419, 6869, 4949, 7870, 6311, 9383, 2814, 8623, 2159, 794, 9366, 4894, 8091, 6756, 6840, 786, 7351, 8487, 847, 5049, 4297, 5509, 7868, 2089, 2667, 5908, 2419, 7814, 6921, 9472, 1650, 6562, 7565, 9037, 6252, 7752, 4221, 2547, 3029, 1037, 3984, 4364, 8649, 3738, 848, 9597, 5668, 635, 1155, 7045, 9917, 7174, 2800, 6554, 1410, 2818, 9586, 4928, 679, 5287, 9208, 9265, 1094, 7198, 826, 8768, 323, 7841, 6786, 5588, 380, 4027, 1118, 3196, 8410, 2807, 2185, 5730, 6292, 8645, 7037, 1412, 3831, 4310, 1749, 5575, 1357, 9647, 7116, 1849, 516, 917, 936, 9879, 4859, 5346, 2927, 7385, 3946, 3299, 4765, 6948, 7241, 6674, 2280, 7973, 9853, 2154, 8899, 9241, 5823, 5807, 9175, 205, 204, 3554, 4586, 2528, 4318, 334, 5398, 652, 3604, 5206, 9979, 7437, 3796, 3473, 1472, 1712, 3435, 9688, 4873, 5614, 4562, 5623, 8483, 5152, 5139, 7215, 8200, 9494, 6575, 1377, 3074, 8297, 8685, 7468, 3610, 132, 2197, 6659, 3219, 8713, 7546, 1731, 9547, 1402, 6932, 6831, 5573, 1301, 7061, 3411, 8052, 8888, 2559, 6688, 5854, 3309, 7503, 5269, 4600, 3580, 4542, 7279, 3382, 8622, 6986, 8212, 8828, 9373, 9527, 6427, 2940, 4084, 2315, 858, 9325, 7498, 2501, 5082, 2840, 3786, 5794, 4633, 9270, 9311, 2004, 7228, 748, 2600, 7640, 3040, 5779, 2464, 3546, 1659, 2472, 2968, 2255, 1399, 5664, 9850, 754, 6781, 6748, 1872, 2186, 6950, 5855, 6936, 9118, 8137, 3965, 7471, 6082, 729, 5119, 42, 7586, 1224, 1178, 3317, 600, 8835, 368, 7025, 8957, 7896, 9124, 1081, 5389, 6913, 8063, 1262, 6409, 853, 1345, 7136, 393, 2447, 4564, 8242, 9842, 1678, 362, 6417, 5784, 9913, 2458, 9701, 5798, 5879, 3980, 9233, 1768, 7694, 6116, 338, 4366, 147, 705, 1242, 3882, 1774, 8409, 2785, 318, 8039, 8883, 5671, 7483, 5550, 7213, 2601, 3708, 5732, 8114, 1834, 1291, 315, 5820, 9620, 7720, 9050, 8456, 7225, 8661, 4544, 5310, 7630, 6611, 6979, 1409, 8264, 1989, 9941, 2710, 3511, 4004, 8083, 1026, 4627, 1110, 250, 5240, 3086, 7248, 866, 3645, 7054, 7975, 9023, 5342, 6109, 7123, 2479, 4292, 3248, 1926, 7341, 1084, 2881, 8058, 1032, 2894, 6070, 5789, 6443, 6652, 9027, 1929, 4131, 2449, 3857, 9228, 5264, 9608, 7916, 4449, 7767, 5467, 687, 3198, 3793, 3900, 1335, 1072, 7602, 834, 3307, 6164, 756, 1850, 689, 9025, 7780, 7345, 8101, 6225, 774, 9714, 3365, 1338, 3332, 5669, 2864, 4210, 3077, 9298, 6506, 7366, 7384, 1247, 1191, 7484, 7986, 4563, 3361, 4727, 8597, 9161, 4913, 1885, 2153, 4580, 5554, 2476, 9717, 1287, 7600, 9410, 2765, 5744, 37, 1722, 8874, 9923, 9503, 5756, 4874, 7889, 5471, 9886, 1425, 6541, 1333, 2276, 3089, 3399, 6143, 1190, 5635, 8572, 5448, 4096, 9584, 5257, 8168, 6441, 8350, 5034, 2473, 3719, 2066, 9770, 9424, 5894, 1540, 4596, 2581, 6907, 4634, 7064, 2568, 4119, 9303, 821, 8117, 2300, 9533, 6651, 4321, 8573, 3827, 9011, 6530, 9526, 4331, 8722, 3310, 8854, 6188, 8267, 8497, 6501, 1516, 6962, 95, 5961, 4454, 8089, 9674, 2267, 5583, 6972, 5393, 1266, 8791, 6333, 6969, 4753, 1864, 9289, 1974, 9385, 4685, 8816, 9217, 4074, 6478, 3899, 5428, 5734, 6494, 7613, 1582, 6174, 2909, 8618, 4599, 7977, 9173, 2756, 6093, 8231, 9926, 7383, 2232, 3923, 5008, 4333, 7796, 2442, 6875, 7798, 7764, 4809, 8780, 5751, 2614, 6691, 206, 1871, 8062, 4970, 93, 8293, 1150, 5006, 8330, 9961, 7759, 6149, 7730, 9765, 9234, 5941, 8102, 938, 818, 74, 8587, 1978, 7604, 9463, 1622, 1789, 2742, 7430, 2916, 1122, 2137, 7073, 7834, 7103, 483, 8896, 5381, 3312, 3283, 6650, 444, 2675, 267, 3116, 2755, 8355, 5191, 5078, 2143, 4516, 1416, 9353, 5457, 4139, 2984, 4500, 1444, 860, 2393, 4977, 7456, 1602, 9192, 9929, 1812, 8723, 9227, 6112, 1306, 5273, 1042, 5392, 6993, 6860, 5260, 2412, 6827, 7169, 3407, 3937, 9434, 1957, 7930, 2880, 3671, 49, 992, 5680, 6965, 9778, 1914, 896, 969, 8860, 2790, 6046, 8383, 8263, 5009, 4691, 2569, 4158, 9500, 5684, 6278, 5299, 3530, 9988, 1596, 2728, 1432, 4518, 655, 3138, 5173, 1739, 7151, 9726, 1967, 3569, 8289, 9854, 1303, 1109, 993, 6523, 9329, 6846, 4704, 3542, 3516, 6237, 6868, 4644, 467, 931, 9887, 4797, 9857, 8105, 7855, 1299, 7466, 1999, 6253, 1876, 624, 344, 9645, 2042, 5089, 5821, 5567, 7429, 5065, 1253, 1140, 6599, 7059, 5735, 2921, 902, 6088, 5305, 1520, 9743, 4058, 4320, 6446, 7541, 1138, 260, 9861, 6297, 1763, 7936, 4213, 9731, 923, 7457, 4904, 1619, 4853, 2090, 68, 4231, 1587, 425, 8628, 7692, 8070, 7847, 6379, 8369, 8672, 5791, 7882, 402, 40, 3070, 874, 6064, 296, 3431, 688, 738, 3112, 9392, 3098, 5451, 5372, 127, 7382, 8684, 5601, 7126, 2016, 7964, 8418, 5562, 5096, 3969, 8440, 1176, 4921, 6939, 1711, 9402, 5456, 6517, 9653, 1636, 1829, 3470, 2448, 1197, 6608, 2072, 8366, 3553, 5582, 2249, 5665, 9146, 8448, 2067, 9977, 6563, 244, 4336, 3324, 7962, 8425, 9125, 2322, 8273, 4802, 4509, 8969, 3728, 6243, 4817, 6061, 5618, 7686, 3039, 4362, 9305, 5288, 5384, 385, 6198, 4762, 2654, 9873, 661, 2446, 8946, 9188, 1016, 7810, 5171, 14, 3170, 7878, 7329, 7206, 2194, 4026, 2467, 1941, 7568, 7632, 2222, 4439, 6128, 7582, 4766, 1388, 7376, 1911, 9540, 7388, 1152, 1817, 5099, 7908, 2799, 8057, 801, 7934, 9280, 5326, 1889, 1079, 6555, 9598, 2183, 4257, 3242, 5175, 594, 9449, 7917, 1791, 7598, 5162, 8733, 2009, 3462, 3890, 4822, 7914, 3619, 8491, 1004, 1092, 4495, 6594, 8424, 8405, 7642, 6952, 1943, 6209, 8978, 4576, 4590, 1047, 7965, 1971, 218, 3648, 4312, 443, 832, 1647, 530, 8095, 9159, 7178, 6307, 57, 246, 7475, 5617, 4895, 6382, 8094, 6566, 7167, 8784, 8737, 4462, 5224, 2694, 1453, 3184, 7969, 5262, 634, 2075, 2519, 6075, 1267, 6906, 1052, 89, 9319, 4606, 5117, 3058, 8801, 190, 4392, 2335, 778, 9642, 6161, 889, 8087, 4417, 9443, 2123, 1055, 282, 5611, 5201, 3901, 8575, 1028, 3442, 2151, 6676, 100, 419, 2387, 47, 4132, 265, 8579, 5177, 4608, 2627, 6167, 2091, 4653, 4655, 8648, 7439, 6648, 5929, 8605, 29, 5263, 33, 2342, 8956, 8751, 702, 7076, 7099, 2070, 2331, 9093, 4459, 128, 1950, 5421, 3828, 2966, 3550, 7371, 9997, 2060, 3880, 2202, 6837, 1502, 5478, 7707, 1470, 374, 6675, 9859, 7168, 2689, 9677, 8774, 9101, 6638, 6857, 2951, 5596, 9769, 5764, 4722, 6521, 6957, 4166, 62, 737, 1524, 5147, 616, 1802, 7672, 625, 5643, 9487, 2097, 424, 653, 4887, 4484, 8317, 4237, 3752, 7255, 5739, 9661, 8080, 5429, 9483, 7204, 4733, 4872, 5005, 5548, 2365, 6071, 2834, 4775, 2535, 8985, 843, 3865, 7149, 7487, 2333, 8015, 9709, 6632, 9838, 8520, 8652, 8900, 7389, 2441, 7497, 9399, 103, 5594, 9874, 1917, 559, 6175, 3308, 2536, 7888, 79, 6997, 9930, 1292, 8773, 2883, 1598, 9914, 884, 639, 2312, 1536, 6801, 6884, 2427, 2698, 2044, 2715, 4184, 795, 4176, 2714, 6601, 7758, 7245, 2777, 5458, 7811, 8821, 8710, 7536, 1021, 4629, 5075, 4212, 5589, 2018, 5378, 1003, 6377, 6125, 6370, 9632, 5109, 1184, 920, 5313, 35, 8920, 7216, 3757, 5254, 1580, 9629, 4588, 5678, 8392, 3677, 2266, 450, 306, 4329, 9893, 6024, 5519, 1944, 2657, 2230, 4400, 1575, 6812, 570, 2795, 6539, 7028, 8798, 5872, 9454, 8507, 4227, 492, 8580, 3830, 4579, 2582, 8805, 873, 2641, 5510, 5513, 5877, 9386, 292, 8834, 816, 7144, 7803, 6977, 4972, 1584, 4998, 7009, 3538, 1013, 7968, 4196, 401, 1158, 8450, 7372, 1916, 1843, 1482, 4832, 4283, 5785, 5564, 3133, 2357, 6813, 8614, 2639, 8060, 2701, 320, 309, 2529, 1921, 3547, 7952, 4377, 3682, 9783, 4046, 4065, 3872, 6888, 3809, 5000, 3997, 1766, 2573, 2576, 4365, 5280, 8349, 9415, 1877, 1031, 5970, 2166, 9656, 3477, 8803, 3663, 5639, 4409, 8741, 3350, 2764, 6084, 2022, 3049, 6578, 4035, 8626, 597, 5783, 3311, 9542, 3981, 2108, 9777, 5016, 5439, 7744, 2117, 6536, 5955, 903, 4274, 7911, 8700, 2386, 6861, 3484, 7790, 6879, 9089, 5242, 1414, 1159, 9048, 3444, 9430, 8019, 6719, 4246, 7055, 2343, 8076, 6028, 7221, 9529, 4919, 765, 1788, 6516, 6791, 7976, 2607, 5017, 9721, 2656, 4527, 7416, 8246, 8864, 934, 4697, 7741, 3711, 6086, 7364, 8407, 4607, 2680, 382, 628, 7209, 438, 8178, 9983, 4956, 1441, 4850, 8485, 4717, 8570, 9182, 9813, 3686, 1315, 8499, 3737, 9476, 3626, 2316, 7768, 7704, 5540, 9672, 527, 7308, 181, 9095, 1716, 3147, 7750, 630, 9230, 396, 8765, 1496, 5934, 4347, 4751, 3229, 7609, 2118, 7884, 9158, 2184, 9055, 8719, 8653, 6735, 7220, 5636, 2468, 7306, 1393, 4007, 2215, 9009, 5192, 8576, 8280, 3233, 2440, 9898, 7249, 2602, 1386, 3155, 6759, 4694, 8715, 2953, 1936, 3355, 1456, 1041, 6613, 9288, 2604, 8797, 319, 187, 3241 ], [ 4207, 6076, 64, 2798, 4110, 5794, 2732, 2862, 6395, 8753, 7676, 4022, 4950, 5682, 9500, 3183, 2912, 8486, 996, 8185, 8968, 3713, 1156, 1423, 8085, 4572, 3309, 8729, 7563, 8264, 5959, 1586, 3272, 5699, 3293, 1043, 5876, 7238, 3164, 3918, 1992, 6818, 8230, 4859, 7998, 1710, 7948, 4533, 1608, 6417, 840, 7028, 8616, 7725, 7127, 2455, 6214, 3995, 2963, 4459, 3427, 2409, 1701, 4430, 213, 2881, 26, 4812, 203, 5351, 8925, 4074, 8709, 861, 3604, 5823, 5882, 1571, 9201, 3146, 6597, 5837, 3832, 3731, 8521, 1915, 2450, 9368, 4918, 3461, 1907, 6058, 4660, 5564, 6453, 1308, 4947, 3569, 3687, 1028, 8646, 4655, 1036, 4236, 3325, 4067, 4633, 4167, 3819, 5481, 275, 7422, 3086, 7522, 2585, 2301, 7254, 2613, 4134, 87, 9390, 8184, 7627, 444, 8625, 6761, 7456, 6174, 1171, 1636, 2172, 7892, 6827, 6081, 4929, 4082, 2412, 1294, 4915, 3091, 7630, 5085, 5745, 3853, 2373, 3496, 2223, 7124, 1369, 7745, 1422, 3116, 1070, 9381, 9560, 7265, 7064, 1541, 5969, 2333, 5702, 2831, 6154, 2576, 4106, 4215, 855, 710, 4469, 7297, 8634, 8439, 612, 7446, 1900, 1706, 8273, 4843, 4823, 8280, 7884, 9669, 9582, 8098, 4683, 9517, 6937, 8043, 7121, 120, 6666, 6039, 2846, 446, 2735, 8639, 6476, 6884, 3159, 8047, 5170, 8561, 3583, 6953, 6108, 7656, 1003, 9170, 8499, 9315, 6524, 5096, 111, 6165, 4173, 5019, 2899, 4935, 271, 1127, 2868, 8903, 4113, 6708, 1403, 7252, 8283, 8303, 5146, 8948, 4085, 1908, 3969, 5177, 2771, 4408, 8732, 9605, 1241, 7816, 1877, 2295, 2536, 8879, 903, 7444, 6872, 3847, 6465, 149, 7912, 8416, 231, 6025, 1635, 4751, 2014, 5275, 372, 6345, 8643, 1015, 4686, 3916, 183, 3656, 9416, 6675, 8479, 6688, 9146, 7633, 2168, 5185, 8384, 1086, 2955, 368, 6969, 5595, 7184, 2774, 1048, 8832, 3158, 5327, 4566, 3197, 5912, 126, 6023, 1834, 6563, 7401, 2472, 8664, 772, 314, 4671, 3187, 7169, 3959, 1123, 5623, 7003, 4797, 7649, 8784, 8493, 4571, 8756, 376, 2565, 3752, 4828, 7104, 3278, 2749, 5088, 247, 6731, 7233, 7574, 7164, 659, 857, 5110, 5301, 4295, 8418, 5993, 6860, 2257, 8179, 8670, 8682, 7610, 9593, 7889, 3993, 3659, 3872, 9899, 7018, 9748, 9958, 1547, 9479, 2678, 7548, 5534, 4009, 5625, 1672, 6777, 4023, 3881, 645, 5856, 9766, 9453, 5013, 5453, 8288, 1642, 2500, 7267, 2271, 4889, 5875, 3422, 72, 4577, 5176, 8508, 881, 5109, 3131, 5781, 5701, 9483, 7576, 4180, 265, 8257, 7561, 3101, 6469, 4128, 3561, 3472, 5132, 5590, 9876, 990, 8519, 7209, 6601, 3279, 6899, 173, 8019, 7418, 6840, 2100, 2226, 6011, 3344, 7553, 2873, 7674, 8666, 2251, 6755, 9002, 3650, 1582, 3942, 7171, 4705, 2685, 9208, 6645, 6919, 7753, 1020, 6160, 4081, 5772, 4233, 9172, 8477, 7928, 619, 3799, 2721, 2008, 8722, 4006, 8929, 8090, 2712, 7350, 2984, 8509, 1358, 8888, 9253, 1891, 55, 7957, 5532, 3633, 7926, 3055, 8583, 8046, 9842, 1668, 6681, 4170, 9174, 9496, 542, 2915, 4367, 9043, 2089, 2580, 1930, 5980, 1711, 5187, 3852, 3291, 4474, 5610, 5236, 4084, 5059, 2962, 8487, 8855, 9488, 2349, 938, 9442, 7555, 3538, 7199, 8539, 6438, 9792, 3598, 3227, 133, 8721, 4774, 7082, 661, 4461, 5343, 3562, 4644, 7290, 2817, 23, 2451, 4565, 303, 6789, 154, 2559, 3638, 615, 9126, 6729, 901, 7886, 7484, 3394, 1143, 1748, 7638, 3474, 8617, 2493, 2969, 2001, 9078, 8537, 3563, 8322, 8890, 6450, 2337, 1054, 9606, 3244, 2528, 8772, 943, 6313, 2894, 1310, 544, 4054, 8314, 6647, 3822, 6642, 2252, 7065, 9743, 4898, 7210, 1269, 966, 6893, 9807, 5640, 1560, 1853, 1500, 3409, 2926, 3571, 7102, 5922, 5928, 6196, 7501, 5565, 1431, 1170, 8679, 4422, 6947, 4381, 1120, 1694, 9979, 9552, 9612, 9907, 7523, 9873, 4003, 3951, 7368, 2372, 9274, 9618, 3084, 5786, 828, 6594, 278, 3901, 3640, 6835, 3171, 3939, 101, 4719, 734, 2077, 2039, 6158, 7411, 6960, 573, 845, 2587, 921, 1948, 8159, 1780, 8527, 3809, 9298, 8577, 5215, 9755, 9736, 5927, 6166, 9868, 3431, 9839, 99, 7198, 7375, 4160, 6497, 7356, 5102, 8986, 5585, 8003, 4513, 3580, 2791, 647, 4485, 5028, 9388, 4668, 2526, 5853, 4617, 6532, 745, 6057, 2696, 6490, 7618, 3224, 2673, 7775, 2146, 5546, 2693, 9884, 6404, 8292, 7751, 8319, 5487, 3135, 7980, 7495, 5946, 7921, 8990, 711, 3104, 950, 2820, 7929, 7083, 3910, 4700, 8633, 5990, 2441, 946, 4475, 4221, 6619, 5505, 4232, 5283, 7023, 5804, 2463, 1101, 5395, 733, 8435, 5704, 2731, 7338, 1653, 3953, 1367, 6614, 9850, 3940, 2026, 2250, 2911, 1811, 3385, 3528, 5201, 48, 3850, 5751, 9066, 3778, 7369, 3862, 6510, 8652, 3845, 3891, 2468, 507, 5156, 2101, 2778, 9198, 4549, 455, 3617, 7284, 2764, 4967, 1555, 3080, 141, 1650, 5006, 833, 7289, 3425, 7567, 9998, 8562, 6836, 6980, 8867, 6882, 1929, 7518, 7995, 7060, 1008, 2109, 4880, 5090, 2560, 4653, 2879, 7779, 2375, 5135, 7612, 2651, 2183, 3502, 2767, 3390, 7987, 9956, 1079, 3047, 5303, 60, 3897, 5835, 3670, 6210, 5381, 4500, 5448, 4062, 5951, 8038, 345, 1212, 4357, 2611, 6981, 6392, 5011, 3570, 9747, 9156, 7386, 5707, 1998, 8854, 968, 9698, 5035, 6734, 8125, 5475, 579, 7562, 2144, 4243, 3136, 9926, 1763, 520, 4090, 8635, 1806, 788, 2042, 2445, 6808, 4556, 732, 8926, 2484, 963, 4961, 6257, 8653, 1435, 689, 5108, 2850, 6013, 7796, 1346, 8188, 5161, 6467, 1651, 3240, 2571, 4788, 4373, 9345, 9746, 8453, 8126, 641, 6030, 3242, 1194, 7250, 6603, 3263, 779, 6462, 6998, 8144, 2018, 2102, 7211, 2244, 35, 2438, 6957, 6324, 4095, 6378, 8421, 8952, 3355, 951, 2385, 6556, 1341, 5839, 6623, 751, 9745, 8974, 3828, 7046, 5496, 3978, 7946, 2520, 1697, 4909, 7600, 1067, 4394, 5842, 2432, 6334, 139, 3674, 1254, 9813, 4778, 5587, 2964, 4623, 4965, 899, 3457, 3648, 6573, 5657, 3034, 5160, 4775, 2624, 4901, 9779, 7215, 49, 63, 1069, 2866, 2594, 5240, 8443, 9021, 8795, 9004, 1393, 76, 5122, 9526, 9578, 1592, 43, 1989, 8993, 1129, 566, 6864, 7945, 2004, 5733, 3152, 3973, 6265, 2928, 8534, 800, 2851, 9565, 5903, 5304, 3838, 5809, 3703, 2608, 6464, 9302, 8898, 6923, 6806, 9917, 4157, 7329, 6691, 1960, 2131, 9674, 5987, 8758, 4477, 1421, 825, 4603, 6368, 8213, 3639, 118, 5939, 5422, 6279, 8836, 8372, 5257, 7009, 9360, 2164, 4169, 3096, 8824, 6369, 6764, 8423, 1928, 1457, 132, 9291, 8221, 3512, 5844, 7173, 8489, 6354, 3058, 4576, 9909, 7447, 1859, 9589, 5907, 1606, 5672, 9472, 4845, 7077, 6918, 5847, 592, 7130, 9753, 4443, 9786, 6411, 2358, 9207, 550, 3064, 8412, 8449, 5529, 1645, 2934, 7669, 878, 4540, 1467, 95, 1066, 1782, 5996, 3933, 2475, 7657, 9169, 6029, 5816, 2116, 8460, 8276, 4495, 8373, 9933, 9053, 498, 4912, 3219, 1941, 4142, 5378, 8579, 484, 9849, 5310, 5918, 5646, 7478, 7079, 4831, 6802, 7715, 8689, 2603, 8407, 6966, 2804, 3603, 6725, 3606, 2726, 8307, 3276, 6703, 1942, 422, 395, 7643, 5539, 6705, 9980, 3060, 3392, 9273, 841, 8785, 2249, 4857, 9410, 2413, 2532, 5877, 3395, 6328, 8495, 4766, 8776, 4581, 925, 5468, 7066, 5798, 7259, 6542, 4693, 4923, 6716, 1216, 8403, 8066, 8404, 2274, 1225, 727, 10, 8525, 5483, 8692, 6145, 6207, 8398, 4496, 6185, 4162, 1233, 1173, 3873, 7187, 8070, 4112, 791, 4378, 4108, 8677, 8161, 6325, 5312, 5775, 1814, 7668, 7519, 6610, 2643, 3841, 8955, 1522, 1034, 1995, 3050, 7378, 4578, 1338, 8171, 7299, 8480, 2669, 3952, 2443, 361, 4159, 9095, 1217, 3957, 4224, 5158, 6019, 714, 2325, 5097, 7569, 7255, 8153, 5003, 28, 4505, 1096, 4515, 2327, 7531, 6932, 383, 1218, 9642, 1819, 9421, 8769, 3386, 269, 5278, 6289, 2676, 321, 4202, 1167, 283, 3333, 290, 3013, 7806, 8456, 8219, 2321, 9449, 3228, 147, 3511, 4752, 9202, 8597, 3820, 6593, 6205, 4255, 3315, 3471, 1452, 4418, 8099, 8992, 7140, 5717, 9711, 9366, 1686, 913, 9991, 9486, 3128, 3559, 7852, 7985, 5531, 5833, 7659, 4945, 670, 9851, 4674, 5143, 9624, 7344, 3365, 3025, 5091, 7560, 2745, 2715, 6066, 538, 5157, 7781, 4391, 299, 9429, 1370, 8399, 9585, 3145, 9064, 962, 8337, 9506, 4637, 2793, 2769, 4851, 4458, 3625, 6315, 5599, 4551, 7004, 3507, 7366, 3305, 4908, 6149, 8419, 8687, 5232, 431, 6665, 304, 1087, 5377, 1797, 9549, 4675, 8361, 9478, 7950, 2456, 5340, 7177, 7026, 7431, 6763, 3836, 3609, 7163, 8262, 4663, 5040, 9561, 5725, 9537, 1629, 8079, 1791, 9082, 1016, 7614, 580, 1041, 7402, 348, 1750, 5556, 7774, 5519, 8332, 8909, 4278, 5572, 2497, 3233, 4608, 1432, 6687, 9928, 8953, 4237, 8014, 2253, 2847, 385, 6535, 3401, 8621, 8041, 4241, 4262, 5455, 9962, 6774, 1670, 8777, 7413, 2228, 3908, 3767, 6012, 5151, 2823, 2356, 8044, 6653, 969, 1895, 9375, 3089, 8196, 8821, 9048, 1272, 417, 7269, 2103, 4907, 1331, 967, 8830, 261, 6448, 2126, 2437, 7785, 3449, 6528, 3717, 3265, 2207, 5104, 8717, 9982, 8401, 2898, 4275, 3234, 1395, 3909, 1223, 159, 754, 4713, 6258, 3270, 7727, 2869, 5739, 6967, 2776, 2302, 2737, 3000, 88, 2360, 2021, 129, 7890, 5558, 1611, 853, 8665, 7154, 8450, 995, 9272, 3035, 6520, 2449, 6092, 4542, 9866, 1117, 4930, 9701, 584, 4404, 696, 3419, 4449, 9572, 7200, 9852, 8408, 9782, 971, 7359, 7733, 1873, 3343, 1162, 6794, 2968, 4676, 9330, 2606, 4120, 512, 4809, 6117, 7300, 7236, 7129, 3004, 668, 4118, 6769, 4309, 985, 6364, 9806, 6902, 3302, 6074, 4392, 6419, 487, 3150, 7605, 1518, 2945, 5624, 9668, 2508, 4318, 1324, 66, 3420, 268, 2748, 3198, 4109, 590, 3176, 5316, 9833, 9464, 67, 4089, 5370, 1125, 2478, 7178, 8522, 9810, 2392, 8446, 8367, 4269, 6266, 6555, 7934, 1794, 4968, 8816, 2586, 6828, 8501, 9718, 9947, 9639, 5413, 1856, 1413, 8690, 5830, 3708, 770, 5022, 5562, 2065, 9765, 5077, 5335, 3519, 9714, 9708, 6233, 9650, 4413, 241, 7208, 5605, 7525, 187, 5814, 2440, 1256, 4462, 280, 9287, 9665, 1570, 1876, 4970, 3153, 7336, 102, 1010, 8143, 5654, 4147, 8350, 1404, 2265, 8010, 8333, 486, 9133, 9238, 7491, 4810, 3450, 4882, 9000, 4466, 6041, 6689, 4847, 8326, 1285, 5474, 2788, 9516, 4960, 1097, 6877, 4552, 328, 8714, 7762, 6930, 1115, 3090, 6711, 6241, 4171, 7005, 9934, 5314, 2753, 3254, 3529, 1988, 1727, 3217, 5914, 4024, 7475, 7701, 1674, 4924, 4837, 7325, 9634, 288, 2420, 7847, 2154, 1704, 7264, 6741, 1456, 5375, 1847, 9440, 8696, 2591, 5629, 6128, 2581, 9775, 6683, 8114, 3954, 6549, 30, 3515, 965, 4277, 2370, 9551, 6033, 6888, 4249, 6706, 4742, 4648, 9450, 2171, 182, 6582, 9185, 3842, 3766, 6733, 4685, 2055, 7217, 8718, 4980, 312, 4099, 4691, 6724, 1083, 34, 3902, 7885, 359, 1790, 546, 8727, 3657, 3831, 5515, 5383, 8526, 502, 7306, 1792, 5214, 685, 8754, 5813, 2086, 5450, 8015, 4761, 5850, 3968, 7591, 8779, 9687, 2269, 4279, 5125, 5194, 5578, 4409, 9046, 7123, 6409, 8704, 1128, 3592, 8465, 7220, 6317, 1973, 6701, 5970, 4868, 9386, 634, 2903, 4590, 9997, 7966, 7472, 3593, 7580, 3503, 8549, 346, 7768, 8814, 9564, 6892, 489, 6391, 4117, 451, 243, 4435, 9568, 1621, 5078, 4481, 6979, 9657, 6912, 7958, 2918, 6991, 3694, 3920, 8793, 4127, 2859, 7058, 8094, 1227, 480, 740, 4414, 4795, 1526, 2386, 9168, 8764, 8580, 4786, 3356, 816, 7139, 3947, 9210, 5190, 8893, 893, 1715, 3575, 4597, 8277, 2471, 119, 9221, 3636, 8048, 7172, 6487, 9787, 4574, 2786, 8167, 6075, 5979, 3069, 4175, 8850, 8637, 2015, 5730, 4956, 1383, 3990, 27, 9638, 8956, 201, 9123, 3923, 2285, 8610, 6544, 5509, 2947, 3865, 3256, 1261, 8287, 8688, 4204, 7855, 4978, 5661, 3222, 1521, 4816, 51, 6873, 5020, 6558, 8365, 6111, 425, 6112, 2105, 7766, 3888, 4724, 8395, 8475, 3277, 3695, 891, 69, 362, 4161, 2523, 3887, 1246, 1871, 9165, 2464, 3381, 4266, 6300, 2000, 597, 6192, 6357, 2552, 4835, 7454, 4993, 5574, 5549, 1099, 1824, 3588, 1983, 3884, 8826, 2670, 7972, 2680, 5708, 6312, 3464, 3042, 2694, 142, 4315, 3366, 6250, 5133, 3410, 3555, 7641, 9685, 3642, 7157, 3582, 7529, 9001, 7110, 2871, 3797, 3765, 3073, 1134, 4068, 1220, 7843, 8345, 5686, 2914, 8201, 398, 5753, 1699, 7834, 409, 3505, 2605, 1909, 6386, 4292, 5521, 6421, 8833, 7707, 752, 7201, 4545, 9697, 2344, 4353, 5259, 1764, 8349, 7846, 7014, 7976, 7106, 1437, 4444, 5230, 7804, 4661, 5382, 8771, 1627, 6156, 1366, 5324, 8233, 4836, 9056, 3634, 1982, 3429, 666, 5361, 7319, 4196, 6553, 4734, 4983, 596, 8547, 1886, 8967, 6447, 2138, 5618, 7304, 1918, 5584, 2394, 7938, 3696, 9115, 2350, 5779, 2770, 3007, 3371, 1801, 293, 5473, 4863, 5559, 8766, 9223, 2856, 837, 5036, 6248, 6562, 703, 7645, 8315, 445, 6028, 9837, 648, 5795, 8819, 485, 3046, 1726, 2038, 4768, 9720, 5211, 9841, 9477, 9525, 3123, 2845, 2803, 1771, 4355, 8706, 9050, 7896, 5966, 3226, 9937, 639, 8338, 814, 8310, 4497, 8065, 6537, 1219, 365, 8289, 9187, 2574, 1148, 4138, 2728, 5592, 2942, 2652, 5656, 6679, 9527, 716, 880, 6859, 6340, 4000, 252, 8445, 3550, 5596, 8693, 1954, 4047 ], [ 4201, 7174, 7644, 771, 4982, 5250, 1964, 826, 8497, 189, 8651, 5073, 8193, 6388, 7920, 5836, 1564, 6567, 2876, 9848, 9256, 5379, 382, 3373, 3541, 7149, 2293, 4825, 4854, 5478, 3835, 1565, 3875, 6005, 5749, 912, 4620, 440, 4855, 3493, 5017, 7328, 1248, 959, 4679, 3833, 2153, 7637, 3719, 3733, 36, 4784, 3499, 2, 9263, 6348, 5368, 9385, 6931, 7283, 8081, 7145, 4715, 316, 8550, 5756, 7723, 403, 3934, 1784, 2308, 6254, 6183, 381, 6134, 1312, 5588, 2582, 692, 1620, 4115, 7404, 651, 386, 7969, 1401, 7997, 2296, 1927, 5209, 2534, 3399, 5459, 8324, 7453, 6139, 8972, 5812, 9653, 9286, 8553, 6685, 4815, 3904, 1012, 7224, 3317, 2933, 4111, 2299, 6444, 8227, 3071, 2414, 8145, 9872, 2367, 7517, 1860, 1939, 4584, 7629, 2335, 389, 8847, 5953, 9955, 4690, 3981, 1690, 8907, 9139, 3078, 1827, 9209, 1122, 5897, 9723, 6913, 6418, 2279, 8476, 4522, 8151, 1433, 5790, 8224, 2637, 3066, 6829, 6115, 1684, 9102, 8767, 5579, 8792, 554, 6408, 5203, 6609, 952, 2080, 6713, 1267, 4926, 4593, 5638, 3212, 145, 8226, 8491, 8142, 1186, 2759, 9535, 7487, 6903, 9727, 8156, 3466, 5802, 654, 4856, 7067, 4195, 8881, 5464, 6355, 8268, 309, 8124, 471, 9511, 8540, 6195, 7279, 6130, 7968, 6790, 1890, 922, 6410, 5632, 3536, 5954, 3808, 7288, 6696, 4227, 8584, 9178, 5226, 3488, 3170, 9072, 5547, 1372, 3754, 739, 6935, 7860, 6732, 8661, 388, 9817, 7721, 3260, 2225, 6543, 377, 2186, 2834, 3531, 5384, 8428, 8393, 5247, 1991, 4881, 7379, 7262, 1415, 2806, 526, 4891, 4049, 9092, 9473, 601, 6925, 2588, 6697, 6578, 1309, 5364, 4429, 143, 1722, 2309, 9173, 8482, 2071, 1961, 6118, 8379, 9094, 3350, 5423, 9155, 2256, 387, 3946, 9190, 4559, 2797, 5470, 8603, 9439, 1289, 6539, 6242, 8205, 8000, 4878, 6710, 3460, 5043, 7898, 9737, 2809, 2785, 6440, 1572, 4804, 775, 9176, 2635, 801, 4802, 1379, 8440, 6990, 1408, 4814, 6274, 148, 8248, 8761, 4284, 8848, 6821, 8504, 6020, 9374, 5291, 876, 3890, 4992, 7477, 2902, 5854, 5030, 4146, 6308, 5366, 6090, 1600, 7962, 4433, 7334, 4178, 7792, 3545, 964, 4405, 1605, 2634, 3641, 501, 6799, 9741, 5463, 4011, 8596, 9248, 5071, 9895, 5166, 9818, 8102, 6235, 1252, 8607, 879, 1469, 6630, 2294, 2129, 9693, 8133, 1380, 2704, 3167, 2489, 5958, 5350, 1407, 6530, 3311, 2779, 530, 9860, 5357, 457, 6922, 9731, 4066, 4758, 3391, 1693, 1640, 5181, 1614, 5743, 2199, 3689, 6999, 7524, 2640, 3661, 5113, 2022, 4667, 3692, 1985, 1334, 5105, 1962, 6757, 7922, 297, 2572, 1418, 234, 5561, 8109, 393, 3186, 2387, 4166, 9704, 5793, 2954, 7767, 1018, 6722, 8829, 5570, 6974, 6499, 9159, 8458, 583, 9536, 2240, 8538, 18, 3182, 6726, 2075, 738, 4086, 557, 3585, 7425, 1883, 3099, 539, 2675, 2319, 7385, 3492, 2117, 6876, 3028, 1130, 3005, 3989, 8981, 3869, 9912, 3489, 5191, 9804, 3761, 5319, 9015, 7270, 3011, 2931, 7452, 3738, 1107, 5999, 7400, 8554, 2267, 4229, 9728, 2415, 91, 8357, 1032, 2722, 3614, 7045, 9867, 786, 2972, 8559, 1486, 4078, 7646, 4194, 1612, 7550, 6773, 9897, 632, 3814, 7883, 2123, 1798, 3111, 2176, 702, 6885, 607, 8325, 6596, 9340, 2082, 9673, 4959, 5195, 339, 5714, 7080, 1441, 7876, 153, 463, 170, 835, 7747, 859, 4395, 5397, 5874, 9306, 2363, 2758, 9793, 704, 2332, 1740, 6329, 4688, 7937, 5932, 2175, 5641, 6104, 8092, 2272, 7195, 6387, 8136, 3919, 2112, 7991, 7242, 9003, 5683, 4934, 1583, 2093, 8742, 7473, 4860, 305, 9409, 778, 908, 8397, 13, 9921, 7179, 4833, 3611, 5769, 3184, 5981, 7393, 1112, 777, 6004, 1520, 4264, 3157, 9497, 3660, 4905, 3742, 2268, 1667, 7389, 7909, 9893, 2399, 7720, 1375, 9777, 7033, 84, 8529, 984, 524, 5942, 8904, 2078, 2953, 1424, 9819, 9972, 1737, 257, 9161, 325, 6007, 9011, 8009, 6515, 713, 4103, 8590, 5001, 334, 2121, 8392, 1427, 8740, 2374, 1958, 932, 7000, 2181, 7813, 8427, 6326, 9317, 5766, 8290, 7859, 3041, 1609, 3204, 3987, 3730, 4506, 284, 6087, 620, 8359, 9434, 4858, 6861, 4489, 468, 8585, 7862, 3188, 8409, 2829, 4703, 4190, 4687, 4902, 1747, 1453, 296, 2286, 7927, 5222, 6014, 1861, 2971, 8941, 1803, 5482, 5819, 749, 8627, 3383, 9984, 4370, 4150, 6114, 8018, 3439, 6101, 1352, 5800, 1356, 1058, 7271, 2149, 5732, 5128, 5447, 5952, 179, 577, 330, 219, 8335, 9316, 5394, 2706, 7575, 3663, 2221, 8007, 2378, 8578, 2343, 3149, 2318, 7708, 5761, 7481, 1303, 723, 8469, 4041, 7542, 8059, 7323, 5926, 4274, 5352, 1604, 2861, 4038, 8931, 8012, 6917, 914, 7628, 2247, 6626, 2659, 4789, 4498, 6852, 5000, 1854, 8542, 9462, 7137, 4092, 3404, 347, 6137, 74, 2979, 9171, 7308, 5218, 1150, 2404, 4627, 4555, 9916, 1074, 6914, 3347, 384, 2340, 6743, 7710, 246, 5196, 3207, 8683, 5955, 9348, 5647, 5935, 6159, 7516, 5528, 9232, 5949, 3945, 3999, 9788, 6975, 1906, 9518, 3732, 5359, 5972, 6100, 8860, 2214, 5675, 6738, 9459, 5968, 6188, 2750, 1540, 6992, 4213, 6644, 9088, 8558, 1971, 3743, 1345, 3447, 8897, 3726, 4044, 62, 523, 7216, 8195, 2828, 3846, 9700, 6943, 7871, 1538, 9047, 2729, 6291, 9721, 6663, 1840, 4981, 6786, 7167, 975, 6189, 1384, 6749, 8715, 3053, 1968, 5044, 8164, 8172, 8874, 4560, 865, 6505, 1858, 47, 1135, 7146, 4073, 9965, 4415, 4419, 8869, 1328, 429, 9553, 4554, 3110, 5667, 9436, 2710, 4314, 1639, 7636, 5520, 8103, 3023, 9118, 4219, 7611, 6994, 1931, 8371, 8301, 9041, 9931, 7509, 7420, 2690, 1297, 7057, 5943, 9945, 2092, 9104, 7780, 8751, 447, 352, 6091, 465, 2480, 849, 5513, 1830, 2739, 7497, 6534, 2982, 9224, 6801, 6570, 1535, 8842, 4958, 14, 2067, 6804, 8884, 1042, 5150, 3513, 8064, 1610, 9457, 5289, 4386, 5904, 9627, 375, 7989, 2452, 4985, 761, 7823, 5065, 9157, 3607, 954, 9694, 4714, 7286, 6415, 1319, 3225, 5440, 924, 916, 2474, 9785, 6365, 5107, 7498, 7108, 2276, 8232, 4520, 6851, 3681, 5, 842, 5945, 2557, 2059, 1742, 4964, 8218, 2772, 552, 184, 9283, 9111, 3142, 495, 9613, 4102, 1177, 2886, 9448, 4770, 4059, 94, 4242, 9968, 218, 5941, 9324, 52, 7087, 4416, 1917, 6942, 1815, 1533, 390, 5067, 5332, 764, 1689, 7225, 6509, 6621, 5938, 6516, 6027, 4567, 8271, 7841, 2981, 4441, 1921, 6164, 9376, 2044, 151, 2211, 1075, 7601, 1414, 3094, 1937, 7459, 3082, 4019, 3271, 5825, 1644, 8426, 9346, 8040, 1385, 7750, 9781, 180, 4610, 1957, 8086, 4390, 2261, 8089, 4953, 7019, 8563, 1434, 8056, 1124, 2107, 5188, 2592, 6783, 9308, 9532, 5652, 7024, 6795, 6105, 6529, 5414, 9680, 8483, 6382, 4619, 5510, 960, 9197, 6089, 4342, 3098, 8082, 2260, 3653, 4231, 6938, 5729, 3307, 4753, 9013, 5908, 4184, 2725, 8920, 3437, 351, 603, 3261, 8641, 8604, 1139, 2913, 1892, 9226, 2222, 2647, 1542, 5929, 9230, 9290, 6637, 5545, 1800, 8154, 3967, 2195, 9847, 3711, 8024, 128, 3141, 1280, 6106, 1732, 8069, 3345, 9030, 2137, 4906, 7362, 843, 2596, 1183, 4911, 5824, 414, 8281, 6518, 7729, 4267, 7032, 4351, 4817, 5267, 8162, 1664, 8543, 2025, 4291, 6633, 8676, 3911, 7248, 9382, 5607, 6987, 9644, 1168, 8163, 5878, 9179, 4100, 582, 1825, 2111, 1088, 435, 2743, 7547, 2978, 8923, 5622, 8569, 9342, 5116, 3627, 4403, 3203, 4287, 4991, 4303, 6009, 2444, 9541, 7827, 4199, 3982, 22, 6036, 9621, 5818, 2091, 5865, 461, 3191, 785, 2273, 7664, 5950, 3786, 1081, 9406, 9498, 1196, 9898, 8108, 989, 9599, 8861, 343, 2198, 993, 4056, 4548, 9134, 1409, 5884, 216, 3221, 9355, 2970, 7099, 3412, 6809, 6879, 4996, 9431, 4748, 6151, 3779, 8857, 9114, 5243, 8592, 5577, 1293, 9514, 1816, 6017, 9524, 1402, 5871, 8238, 6065, 2258, 6372, 9444, 9846, 8039, 2203, 5486, 5140, 8840, 3445, 9563, 6268, 9257, 1306, 202, 2525, 9289, 4350, 6978, 2233, 8320, 9135, 9186, 798, 7571, 258, 6968, 4320, 4472, 663, 4447, 8957, 6198, 2435, 5992, 1214, 3597, 3535, 8129, 7103, 5184, 1940, 7031, 9630, 4997, 6500, 2147, 9237, 1549, 2549, 9801, 1698, 7712, 3971, 3858, 5697, 6212, 9175, 6600, 563, 2991, 4733, 6739, 5727, 5380, 4883, 5716, 4425, 5511, 7008, 4050, 5055, 6759, 9877, 7684, 3181, 289, 1818, 9458, 6228, 4874, 4091, 5504, 3684, 5811, 3372, 193, 7293, 2668, 8269, 6432, 2961, 643, 7607, 5888, 631, 698, 3143, 9101, 4072, 4738, 8815, 5268, 695, 9990, 1348, 3773, 7161, 6976, 7595, 7376, 9534, 4946, 4583, 5670, 6371, 4616, 7202, 8700, 3697, 7313, 8396, 5748, 8849, 353, 537, 8632, 9071, 8638, 5313, 4349, 8062, 4331, 4518, 1061, 6442, 8211, 7815, 5915, 870, 8261, 1477, 3673, 4431, 2944, 4298, 7837, 476, 2095, 9838, 6150, 3546, 8691, 6249, 7119, 7073, 9666, 391, 6026, 4246, 2663, 9636, 3056, 1382, 8275, 8441, 6848, 8020, 177, 600, 7680, 4532, 3033, 1279, 3115, 3454, 4299, 882, 7364, 8973, 6321, 9136, 6833, 8798, 7797, 2063, 4212, 5735, 5281, 7361, 8794, 371, 4294, 2665, 877, 3469, 7711, 9575, 8413, 7410, 8916, 9108, 673, 1601, 5126, 8364, 6221, 1038, 5004, 2717, 4820, 9983, 4622, 3161, 8311, 9579, 1446, 1953, 8856, 649, 9832, 4729, 4726, 1603, 4942, 9090, 956, 6631, 726, 329, 3377, 8594, 9490, 3927, 803, 7564, 4732, 8686, 3387, 6579, 525, 2365, 1875, 9077, 6607, 5219, 5705, 7848, 9435, 8146, 1483, 9771, 1202, 9412, 1410, 9602, 4900, 2838, 7432, 1200, 2512, 294, 6592, 9131, 6428, 7996, 8531, 2544, 6782, 6933, 1490, 5543, 4890, 8341, 5820, 8263, 6721, 6632, 9110, 7917, 5266, 9951, 3266, 7999, 6341, 6970, 5755, 6784, 5616, 4052, 1768, 5433, 7918, 7280, 3193, 8251, 5457, 4727, 399, 5500, 460, 2339, 2284, 2084, 4903, 3843, 9427, 6559, 5569, 2330, 7274, 6857, 6753, 462, 8741, 2813, 2184, 8801, 9328, 974, 4055, 2495, 2481, 8997, 6727, 9800, 98, 574, 5514, 160, 3314, 6911, 9344, 5221, 9122, 6816, 1914, 9861, 7757, 8566, 1399, 9961, 1951, 1576, 3236, 9590, 3072, 7952, 6353, 9750, 4263, 4364, 6332, 8158, 8160, 3133, 2097, 758, 5879, 7706, 8796, 2893, 4621, 8797, 8853, 161, 7528, 4225, 3889, 8624, 7695, 3452, 3830, 3630, 5069, 1292, 7583, 2504, 3924, 6718, 635, 2156, 787, 8555, 6071, 4079, 4928, 9546, 7655, 191, 6304, 3075, 8573, 3789, 1191, 640, 6583, 4601, 9332, 8877, 7993, 5606, 206, 2568, 6472, 7738, 7387, 3296, 5711, 7719, 6770, 2431, 2539, 8057, 822, 1631, 8710, 6379, 7854, 6540, 3397, 3654, 4925, 5869, 9724, 5408, 6736, 5441, 8812, 8839, 2088, 5826, 1516, 2354, 4821, 9889, 6294, 8560, 3283, 6946, 2966, 4434, 4750, 5777, 4063, 9796, 1178, 6262, 9944, 2688, 572, 9220, 1658, 886, 2777, 4182, 4723, 2403, 5134, 3229, 1198, 470, 4028, 1955, 9978, 2113, 8914, 1744, 4984, 1870, 1813, 9468, 8139, 2490, 420, 6169, 7333, 7584, 7128, 3523, 3577, 7974, 6719, 4185, 4558, 7318, 2644, 9880, 5603, 1450, 4293, 8299, 5337, 195, 8334, 1730, 5285, 9734, 7839, 927, 9822, 6299, 6441, 6186, 5159, 4129, 3949, 9252, 5258, 6712, 1932, 6982, 3008, 9531, 642, 3783, 4482, 6886, 5548, 3287, 1626, 6641, 7982, 4271, 2303, 9121, 6717, 1641, 9587, 103, 9400, 7302, 5180, 1809, 1329, 2224, 4302, 4046, 1091, 8391, 9017, 513, 7075, 1729, 3772, 7756, 9904, 2425, 6056, 5427, 9032, 6314, 9080, 2035, 8254, 9542, 7961, 2671, 4773, 8223, 6293, 5345, 3815, 1136, 7027, 1717, 4873, 2283, 1158, 4335, 3899, 7874, 238, 5885, 4641, 5396, 7426, 3218, 4479, 2896, 6281, 6054, 6040, 2465, 6962, 44, 9051, 1984, 9402, 5600, 1440, 8204, 3811, 1428, 9284, 6521, 1210, 5321, 8214, 6405, 9959, 4193, 3087, 3704, 9292, 9539, 58, 3054, 8870, 7455, 7465, 5796, 6856, 7858, 1661, 9363, 9188, 4939, 7428, 2277, 2992, 4731, 9391, 6900, 3200, 5174, 5010, 1445, 3624, 4300, 7158, 1584, 8095, 8964, 6865, 4534, 5644, 9423, 7326, 598, 7895, 2922, 1146, 114, 8266, 2043, 3384, 5721, 6646, 3868, 9137, 4313, 977, 331, 3619, 667, 9816, 9989, 1675, 5919, 4737, 3201, 4210, 8375, 4265, 7488, 8442, 6455, 9855, 4181, 605, 4575, 6606, 7245, 6533, 1444, 3686, 479, 5193, 6869, 4695, 8381, 3751, 3220, 3494, 2275, 614, 948, 5208, 253, 8034, 6131, 2002, 2353, 2711, 8414, 2502, 7677, 8149, 9151, 1106, 5608, 7243, 8097, 808, 6776, 4260, 1273, 5720, 9020, 427, 6327, 1182, 6261, 6416, 5276, 2905, 6785, 2322, 5424, 7504, 4557, 1682, 5957, 873, 6194, 1557, 906, 8648, 4811, 4537, 7673, 9688, 7490, 4624, 7953, 2300, 1420, 9967, 930, 9502, 9957, 3631, 1842, 4272, 227, 7223, 4399, 655, 1388, 6018, 6819, 561, 7752, 4886, 6437, 2454, 2317, 6269, 9058, 2849, 3477, 5198, 6042, 3929, 6050, 3621, 2467, 9756, 3622, 7609, 6832, 9759, 3362, 5233, 2636, 9259, 3231, 595, 6896, 709, 4917, 1349, 3693, 6288, 811, 7332, 38, 9415, 8022, 9109, 6604, 3602, 6678, 9830, 3970, 7384, 743, 2064, 6424, 1174, 4547, 1778, 585, 1459, 6045, 1213, 8388, 5025, 4492, 2204, 104, 5498, 5282, 2995, 8790, 8438, 8222, 310, 8802, 6664, 9623, 3905, 3442, 9378, 4036, 2388, 6399, 6560, 8728, 7686, 1714, 5589, 9404, 6362, 1351, 3769, 1723, 9454, 9941, 4830, 7832, 9616 ], [ 3223, 3169, 8896, 3807, 7222, 9614, 3462, 2306, 2885, 1145, 1618, 8846, 6434, 5041, 2957, 6704, 5263, 57, 1184, 1464, 4728, 2699, 9827, 6403, 7230, 6910, 1874, 1938, 5399, 9986, 1562, 3590, 2466, 8394, 5411, 5358, 9426, 2839, 838, 5056, 7622, 6088, 4297, 157, 8654, 3878, 7025, 850, 3723, 5374, 4471, 7068, 5299, 862, 6110, 7736, 6061, 2723, 1805, 2932, 5911, 1848, 6574, 4001, 5254, 5866, 3599, 2814, 8296, 4317, 492, 6175, 4273, 931, 6492, 1104, 9774, 6546, 8137, 469, 6491, 7863, 9305, 5776, 2762, 1919, 5465, 1190, 8511, 9915, 1637, 8313, 5121, 6319, 2875, 8016, 2935, 3446, 4844, 7826, 3213, 7365, 2049, 7688, 3930, 467, 823, 1082, 2396, 9396, 804, 6950, 7793, 744, 2826, 6179, 8327, 3685, 9275, 8077, 3977, 7493, 9738, 5724, 5079, 6443, 5803, 6661, 2429, 9192, 5582, 6983, 4384, 807, 2266, 7029, 1708, 7880, 3014, 7955, 6846, 782, 5805, 1263, 9086, 7034, 7229, 9557, 7590, 8228, 0, 9112, 2433, 973, 8417, 235, 8960, 7593, 5288, 5347, 5330, 7460, 1796, 5145, 5066, 8448, 3105, 8697, 1480, 7500, 3322, 229, 5523, 4307, 4101, 7282, 9018, 3202, 1999, 1828, 1613, 2135, 2046, 1736, 9671, 1473, 1416, 3255, 2400, 4861, 6148, 4990, 3996, 1262, 5220, 9533, 715, 4476, 1799, 3301, 7856, 6251, 3749, 7647, 7903, 6374, 4097, 920, 1703, 6414, 2031, 5536, 1300, 2573, 5648, 3177, 6078, 5867, 4645, 50, 8239, 1967, 610, 8927, 8503, 8626, 4664, 4717, 7573, 6474, 4869, 3329, 2083, 4172, 7132, 7604, 6167, 7391, 2939, 3393, 8321, 3762, 5253, 8425, 6277, 9995, 6569, 8507, 7970, 5339, 7054, 5068, 540, 4334, 4582, 5553, 6904, 4473, 5142, 4499, 5913, 4649, 8278, 5636, 2191, 7822, 8599, 9251, 8152, 937, 4870, 1770, 1390, 8067, 9826, 2522, 9730, 2925, 2329, 970, 9029, 4206, 6398, 678, 5231, 438, 5167, 1589, 8843, 6208, 3155, 8716, 442, 4508, 5458, 131, 6494, 190, 4782, 1007, 3691, 9733, 4226, 8374, 433, 6070, 6655, 9584, 1974, 5791, 7602, 2202, 9988, 7901, 5563, 4999, 8166, 4119, 5843, 6863, 4383, 3491, 1151, 652, 2821, 6377, 1743, 4360, 2346, 3027, 4852, 4760, 681, 7449, 1242, 1330, 5861, 5005, 9141, 8668, 6016, 2213, 4642, 1250, 4864, 1724, 2162, 4168, 9239, 2507, 4452, 6080, 1321, 1512, 9395, 4453, 5210, 4913, 155, 4771, 7812, 978, 3147, 6236, 1006, 2518, 5417, 6881, 979, 6723, 5591, 5627, 6454, 684, 1400, 6495, 2844, 2952, 5212, 3527, 9710, 1485, 7312, 629, 3921, 5373, 2705, 9294, 6993, 3886, 6565, 1039, 4304, 4711, 3113, 5353, 9647, 2960, 2811, 6222, 3655, 9474, 2619, 4039, 7352, 7144, 3456, 8305, 1025, 5821, 3269, 8546, 5369, 256, 6323, 5530, 2983, 6123, 4914, 7147, 7588, 719, 8488, 2128, 2974, 4107, 315, 5734, 2051, 2630, 5917, 6921, 7534, 5518, 4536, 8557, 8733, 9268, 1969, 8930, 750, 292, 9888, 9270, 9583, 7109, 5372, 945, 7483, 9705, 6682, 4604, 4330, 7165, 41, 2884, 9691, 2801, 7442, 1255, 1161, 4640, 6456, 4785, 1867, 9372, 8308, 5295, 3988, 7558, 7089, 5197, 3671, 3122, 8726, 6124, 4550, 3354, 3591, 1789, 78, 1733, 5771, 1920, 3837, 1288, 6700, 1721, 6157, 5171, 8788, 5538, 8743, 1577, 6163, 7703, 2716, 8809, 3407, 1545, 6202, 5270, 7122, 8237, 2720, 9905, 1746, 6475, 4077, 1240, 9812, 9922, 7372, 7434, 638, 448, 5870, 2074, 2794, 2590, 4580, 4969, 428, 8496, 6820, 5555, 9923, 1590, 1259, 7241, 8297, 7875, 6812, 9428, 3530, 9814, 3936, 4490, 9544, 107, 4721, 8431, 3816, 8241, 7086, 8245, 3553, 6648, 9487, 7634, 660, 6748, 5499, 3958, 3645, 4957, 8975, 9881, 6162, 4955, 7092, 6093, 500, 5342, 3206, 240, 5940, 1386, 9334, 1363, 2460, 1924, 1615, 6916, 2355, 8659, 1458, 3885, 4140, 2418, 318, 6032, 3306, 9311, 7713, 4895, 89, 2943, 1504, 4141, 562, 4451, 4385, 82, 3680, 4932, 6481, 3484, 4031, 4060, 4658, 7559, 3917, 2072, 4677, 6618, 7371, 3962, 1885, 3573, 7098, 7819, 8835, 4426, 6512, 370, 6954, 9218, 5260, 5341, 1149, 1566, 2020, 5365, 5484, 9443, 3943, 2877, 7615, 1296, 2152, 6153, 2822, 3303, 6322, 7521, 2863, 9854, 3312, 7866, 5451, 8502, 8084, 2227, 7803, 874, 8378, 8217, 7718, 7043, 8719, 9128, 8229, 3576, 8270, 4689, 21, 5684, 6255, 4569, 8451, 7737, 8078, 3827, 3308, 1283, 9153, 6541, 29, 9742, 9555, 8216, 5407, 9240, 4783, 3036, 4250, 2401, 9031, 2997, 1323, 4008, 9523, 7724, 8984, 452, 313, 7196, 8619, 2625, 9808, 5680, 7760, 217, 5817, 4865, 8513, 9233, 4528, 3249, 7205, 2648, 1326, 8110, 806, 5712, 3209, 9858, 194, 646, 4088, 9547, 2034, 2543, 6107, 5838, 7050, 7126, 5741, 7910, 6831, 9042, 839, 7963, 7732, 3336, 1510, 9407, 3402, 6815, 7037, 5320, 9422, 2488, 2189, 5297, 6445, 4755, 4994, 2505, 5114, 875, 1290, 9554, 1257, 2993, 2173, 9067, 7390, 4354, 9231, 844, 2391, 7320, 6229, 2578, 1624, 4257, 1965, 9913, 2424, 4488, 4519, 4305, 4916, 7354, 6152, 896, 93, 5485, 6622, 7761, 6686, 4387, 2473, 7499, 6412, 897, 176, 3483, 2909, 1307, 9205, 1231, 5906, 1465, 8178, 586, 565, 7001, 9628, 5272, 884, 5681, 3328, 8054, 9307, 1412, 6370, 4268, 2278, 7915, 2282, 4631, 9879, 2096, 5446, 5466, 9662, 9314, 4709, 2900, 2733, 9370, 5428, 7088, 4697, 9883, 1160, 1377, 9351, 9097, 9318, 3444, 3129, 5895, 2057, 1975, 144, 2161, 3262, 7285, 656, 4154, 5026, 9703, 8075, 9591, 4787, 8820, 1157, 2842, 4730, 6122, 162, 9189, 2178, 1270, 551, 2085, 9803, 9196, 5434, 728, 9373, 9282, 9949, 137, 9264, 7305, 548, 941, 1077, 6507, 1788, 9343, 3238, 5432, 2686, 9887, 9994, 2163, 7748, 124, 2037, 9952, 7007, 7620, 4736, 7298, 4966, 3031, 6676, 1316, 8685, 2170, 3514, 8875, 2593, 4153, 8818, 1657, 3180, 3755, 860, 7373, 6343, 1691, 1544, 6079, 955, 3984, 7406, 571, 8737, 402, 8434, 9503, 5139, 9124, 5217, 1837, 1745, 1045, 8091, 3424, 3039, 7423, 5242, 77, 3295, 7824, 5630, 7776, 1189, 9138, 7683, 5742, 4075, 8053, 3589, 8781, 8481, 2216, 1756, 7665, 3629, 6488, 7101, 7175, 5923, 8886, 8674, 6602, 7533, 3465, 5583, 4007, 4546, 2200, 8122, 6650, 9789, 4943, 4553, 4045, 6127, 9762, 8468, 6898, 636, 4282, 3109, 1113, 8645, 8302, 8858, 5429, 972, 4635, 8134, 9158, 6672, 1568, 260, 1396, 898, 1140, 8647, 5338, 5252, 1607, 7191, 3804, 8838, 7397, 1595, 4523, 7040, 9271, 2795, 9640, 3500, 5015, 2889, 2787, 2666, 5007, 2852, 3760, 8915, 7322, 4311, 6024, 9471, 3941, 4322, 821, 3059, 5021, 7030, 5676, 1209, 545, 5072, 2359, 7468, 8965, 929, 4438, 6649, 3668, 8316, 6945, 9296, 1599, 1632, 9919, 4746, 6055, 1314, 6766, 6575, 7608, 1893, 7642, 3998, 1047, 3280, 6433, 8387, 5405, 4801, 4069, 4252, 459, 3144, 757, 6640, 4136, 9530, 3284, 5344, 1266, 5086, 4306, 1575, 2264, 6813, 810, 7697, 3504, 2243, 494, 5014, 8980, 7348, 1888, 2570, 2023, 8969, 1903, 1578, 6747, 171, 3584, 9862, 1260, 1753, 8304, 9894, 1517, 9811, 3856, 4131, 6213, 3368, 7759, 3613, 7346, 7818, 1029, 5262, 3323, 8614, 6746, 4838, 4421, 224, 9835, 832, 204, 1203, 9269, 24, 3938, 4053, 9677, 4708, 6155, 8074, 9910, 7652, 3179, 3165, 8778, 9543, 4148, 7281, 181, 9250, 4344, 3896, 8998, 3290, 9364, 5326, 7527, 4754, 6523, 5868, 3586, 6674, 7833, 1980, 6837, 4756, 1986, 9726, 4521, 8198, 2550, 9940, 3806, 3725, 9063, 9142, 5554, 3706, 1229, 3247, 755, 8358, 1439, 6180, 3214, 6297, 5491, 5049, 1905, 1935, 7382, 8932, 1808, 9757, 249, 5541, 3281, 7831, 9335, 3734, 1277, 7100, 8976, 115, 6929, 9465, 9235, 1443, 9338, 3375, 2459, 2397, 7791, 9776, 9538, 7975, 5773, 6260, 1360, 2053, 8618, 6590, 3246, 2618, 3313, 5535, 8356, 7463, 3010, 7011, 4507, 2259, 3448, 3556, 8127, 730, 9277, 134, 4600, 4126, 736, 8822, 8568, 1239, 7971, 8889, 9485, 175, 2212, 3735, 491, 1588, 5828, 7730, 9805, 1249, 2718, 998, 9367, 9255, 1318, 1131, 4803, 2533, 5909, 8031, 6133, 6062, 5787, 7105, 5750, 9522, 4525, 9027, 5893, 264, 4893, 9632, 5673, 9036, 9635, 6363, 1093, 6834, 6635, 2180, 7789, 3651, 6531, 508, 1872, 4145, 8536, 3423, 1236, 8182, 4606, 4670, 6939, 7457, 505, 3506, 135, 6095, 1925, 5695, 3294, 8564, 7494, 8073, 1179, 3775, 380, 2558, 9461, 1553, 6278, 354, 8147, 7118, 2248, 9033, 8116, 9327, 5593, 6504, 1845, 3795, 4949, 5023, 1844, 6658, 8362, 9213, 5855, 2697, 627, 1832, 7589, 3297, 7182, 759, 2930, 6478, 8810, 5737, 2727, 2510, 1230, 5807, 8339, 8995, 3334, 7190, 7696, 5012, 4948, 9625, 3652, 3367, 2239, 2315, 1807, 5286, 9964, 2241, 2755, 7421, 1357, 3237, 4156, 9975, 9725, 5665, 3211, 4888, 146, 474, 7577, 2305, 658, 5669, 4158, 8678, 1098, 8209, 6660, 4463, 3532, 4529, 9144, 2351, 6862, 9026, 1449, 4707, 8080, 4808, 1659, 5503, 3405, 4741, 2906, 5527, 5497, 9795, 2878, 1972, 4651, 419, 5663, 3960, 2012, 753, 3074, 3985, 1775, 3376, 7544, 6284, 3088, 3705, 8347, 2461, 2334, 2457, 766, 360, 8242, 2654, 8736, 53, 6866, 3092, 7666, 7679, 6461, 8667, 2757, 5840, 6844, 1835, 4720, 2045, 9938, 3083, 9864, 333, 4216, 167, 3441, 8415, 3525, 1731, 1327, 5386, 4483, 4280, 3482, 1138, 5613, 1488, 1546, 657, 5400, 2641, 3698, 700, 4270, 8699, 5834, 5604, 7742, 274, 7166, 2069, 4002, 6471, 2708, 5662, 6330, 8985, 3871, 536, 2672, 1185, 6227, 8383, 5189, 2182, 3818, 4362, 2538, 4834, 9182, 9073, 3857, 7770, 7956, 3411, 3716, 3495, 1064, 5678, 4776, 3127, 8959, 3567, 7794, 7272, 6791, 7705, 7692, 9744, 6287, 5430, 2167, 477, 5598, 9678, 3363, 5058, 8713, 6778, 7347, 8027, 1944, 1904, 4208, 8173, 7959, 5696, 7148, 1527, 4501, 6823, 8255, 9452, 2519, 8243, 8673, 7070, 8096, 6750, 9824, 4192, 4927, 16, 2621, 8574, 677, 9266, 887, 6267, 4132, 5645, 2030, 2661, 2402, 1879, 1154, 3551, 5617, 4071, 4247, 9380, 3966, 499, 5822, 221, 9859, 2691, 5213, 6318, 3700, 2545, 8141, 2949, 2032, 8032, 9303, 1425, 1846, 8705, 5137, 5752, 1966, 7482, 277, 1505, 1353, 8294, 5224, 6384, 5264, 4143, 8520, 9069, 8852, 7022, 4892, 341, 6817, 426, 8140, 1494, 7235, 6359, 7278, 686, 9504, 9411, 9924, 6425, 2395, 4712, 608, 8473, 140, 4824, 7480, 5228, 7321, 9492, 8759, 6673, 2005, 4910, 8791, 5643, 5956, 2864, 2681, 8284, 56, 4962, 3154, 5892, 1843, 7218, 1159, 5479, 9510, 1436, 4338, 794, 8514, 2684, 7176, 5409, 5054, 8606, 987, 1274, 8593, 1662, 1923, 9016, 6197, 8300, 533, 6995, 9285, 6140, 3151, 7396, 7864, 5700, 5093, 2612, 302, 3468, 5348, 9689, 7340, 5757, 2442, 9261, 3796, 9389, 8165, 2406, 2567, 8630, 3722, 7786, 9309, 4042, 9245, 4321, 2929, 2747, 5329, 625, 671, 9571, 3100, 9369, 9052, 150, 8492, 9820, 8859, 2892, 1676, 407, 3874, 9456, 7986, 105, 1503, 5334, 9528, 3199, 9038, 8611, 9059, 6182, 3615, 3714, 7990, 5163, 5691, 680, 3774, 7722, 2016, 6201, 367, 493, 8908, 3426, 7825, 4478, 1073, 5841, 3029, 8918, 1462, 8928, 1451, 5650, 4035, 1235, 6349, 5947, 9019, 1981, 4841, 8512, 9163, 2695, 8518, 8001, 8684, 9856, 872, 8461, 2738, 322, 6072, 1669, 9752, 4114, 5740, 4568, 4043, 5894, 5973, 2530, 1894, 3690, 8422, 4652, 212, 3746, 8194, 3208, 5982, 5768, 1851, 9886, 6113, 2948, 1381, 5087, 6889, 214, 8169, 1787, 7924, 942, 3658, 3520, 790, 8921, 2364, 5848, 7543, 9948, 9445, 5454, 3701, 9125, 3876, 1655, 4339, 4400, 3339, 8005, 3747, 9329, 3912, 936, 7988, 9679, 1005, 4599, 5829, 7206, 86, 7911, 2616, 8329, 3948, 8868, 852, 7221, 2773, 411, 2924, 1646, 1258, 2453, 2579, 8259, 7258, 2615, 3338, 9438, 6707, 2987, 2417, 1648, 9749, 2692, 6047, 449, 1100, 7062, 683, 4842, 225, 8101, 1654, 1063, 5034, 1638, 5246, 7464, 4509, 3, 4248, 7821, 5063, 4704, 883, 8582, 3508, 1137, 6525, 7868, 9732, 522, 4377, 2989, 2956, 6963, 6797, 9060, 8348, 8823, 867, 340, 3349, 633, 6928, 5883, 5308, 6612, 9717, 7415, 7492, 4826, 762, 796, 9604, 7568, 1343, 8208, 4587, 1056, 3341, 5984, 6671, 8864, 6035, 3418, 5978, 9430, 8363, 3337, 9973, 9654, 2990, 2486, 5873, 6756, 4125, 2714, 9936, 687, 4979, 3121, 5674, 5989, 4076, 7787, 4470, 2270, 5815, 3310, 4230, 3759, 8940, 5112, 8623, 5493, 9482, 8657, 7689, 9712, 7808, 401, 2985, 4065, 817, 7496, 9215, 4989, 8961, 3964, 3699, 7552, 9550, 8389, 6858, 1802, 3052, 7114, 7507, 7292, 676, 2975, 1660, 1051, 616, 1680, 4037, 5476, 2629, 9690, 6971, 4417, 5239, 1652, 515, 5300, 617, 7782, 9494, 9350, 8934, 3750, 5009, 4504, 7763, 5694, 1265, 2066, 1243, 1558, 5778, 2114, 1950, 5501, 5488, 9996, 871, 6908, 5100, 4491, 6136, 8612, 3770, 9758, 1754, 1899, 7799, 737, 8660, 3342, 6901, 1524, 9130, 2855, 8862, 3678, 2895, 9885, 1342, 6576, 2937, 7232, 3138, 4780, 1720, 6286, 8131, 3106, 6552, 5961, 720, 9417, 611, 7002, 5910, 5494, 7489, 7294, 9148, 7091, 7538, 3163, 3510, 2210, 5925, 7916, 910, 3710, 1222, 237, 8989, 5178, 2165, 8945, 2825, 6636, 4920, 4446, 9960, 7512, 1482, 4407, 4629, 4541, 9878, 2017, 6624, 7324, 6431, 2010, 9241, 9049, 5075, 6735, 2609 ], [ 4822, 7726, 1569, 342, 6702, 4684, 5002, 199, 4618, 9902, 7084, 1226, 8200, 5360, 9322, 8807, 3608, 1364, 3396, 3800, 3248, 4021, 3913, 7355, 4899, 6684, 1228, 4460, 2148, 7451, 8783, 8979, 3267, 1687, 4974, 8115, 9057, 1712, 5094, 858, 5305, 3928, 5131, 6051, 7758, 1068, 7408, 8944, 8346, 3232, 6572, 5042, 7427, 6926, 276, 6638, 4058, 3166, 2628, 4205, 3048, 8203, 1037, 9242, 7260, 7246, 4702, 7817, 650, 8524, 456, 1993, 248, 9040, 9509, 31, 3079, 1108, 4155, 8828, 3931, 8996, 8202, 9014, 928, 2958, 2068, 5506, 2514, 5229, 244, 8050, 5971, 1509, 9911, 9293, 5461, 2499, 2736, 9865, 3463, 1049, 3095, 5944, 3643, 1718, 6489, 904, 4517, 5141, 8571, 6652, 820, 4096, 3274, 510, 8738, 6485, 1849, 5237, 7640, 6426, 5601, 6256, 7213, 2860, 763, 4512, 9580, 2923, 6479, 7977, 3473, 5810, 8132, 286, 2650, 1232, 9433, 6506, 6887, 7532, 287, 4329, 3813, 988, 8093, 2976, 4975, 2155, 981, 7095, 3173, 1271, 8804, 1573, 8680, 3175, 4200, 917, 5328, 4484, 5492, 1531, 2598, 6282, 9797, 2639, 2547, 9313, 5609, 6237, 3324, 7619, 4365, 9751, 7549, 4718, 5393, 1551, 6948, 9037, 5533, 5568, 3688, 9608, 6211, 3944, 4526, 6098, 9562, 8567, 5747, 4887, 4286, 4301, 5631, 7096, 2742, 6397, 7342, 4239, 9942, 5244, 5637, 4602, 7296, 6350, 1959, 6394, 8588, 6667, 5728, 7616, 9939, 1389, 483, 4319, 3892, 535, 7125, 1192, 8516, 8895, 9620, 669, 6765, 7983, 1528, 1563, 9633, 2143, 5060, 3378, 2120, 3285, 1333, 7540, 9460, 9143, 152, 581, 1142, 9103, 8298, 8608, 172, 450, 8589, 8703, 8609, 2477, 4214, 6311, 5235, 9611, 8958, 9336, 80, 4598, 9809, 2667, 4209, 3032, 8236, 2996, 5634, 9361, 2190, 3400, 5763, 7291, 6620, 2633, 7094, 9512, 5799, 4933, 9341, 2810, 9365, 1027, 2166, 3859, 4223, 1454, 682, 5119, 8720, 8176, 4585, 6276, 3076, 4682, 729, 5899, 7598, 3490, 8457, 9403, 3408, 6290, 7749, 8331, 7539, 7520, 8591, 3364, 8734, 2595, 1282, 5580, 9154, 3980, 6243, 1448, 8747, 7010, 9890, 6588, 2220, 7380, 1898, 9595, 1114, 549, 6870, 7790, 1709, 5206, 9166, 6147, 5138, 6141, 9216, 1543, 6295, 327, 1829, 2658, 9987, 8581, 9357, 8128, 9540, 4673, 3737, 6577, 564, 8755, 9105, 2917, 7476, 7592, 2036, 3823, 5029, 5064, 2998, 9903, 5153, 7828, 1013, 3430, 165, 7992, 5738, 3976, 5611, 413, 2434, 1665, 1597, 8260, 7056, 2469, 1769, 3574, 5082, 4217, 6219, 8459, 4177, 8827, 8258, 7694, 4288, 4285, 991, 1696, 2297, 1922, 2323, 4346, 3864, 895, 90, 2159, 2653, 8175, 1585, 9853, 5594, 1092, 1758, 7429, 7979, 1622, 3879, 3632, 1634, 8406, 4544, 9643, 2506, 6206, 1561, 4839, 918, 9769, 4896, 5261, 8906, 644, 6331, 7117, 8380, 1253, 1000, 7398, 5517, 5550, 6064, 868, 7764, 9918, 6557, 1144, 4010, 4402, 215, 1033, 396, 9686, 4570, 223, 6551, 5443, 2331, 8601, 2230, 158, 3728, 1481, 4423, 4487, 211, 2280, 1105, 1804, 4032, 8267, 7566, 2419, 9217, 9641, 4139, 902, 338, 7363, 3030, 2169, 4436, 475, 8711, 2756, 8028, 5937, 6598, 3758, 3764, 8025, 6280, 7699, 9333, 7954, 934, 1749, 5089, 6043, 7134, 4234, 3369, 8786, 7685, 7276, 741, 9392, 282, 6458, 8353, 9791, 2479, 1024, 4420, 4678, 9598, 6654, 4511, 2476, 8938, 6406, 4646, 9147, 2888, 8545, 5175, 7943, 6599, 1286, 9425, 9637, 9920, 1741, 3432, 9195, 9763, 6393, 3348, 2638, 5415, 5780, 1163, 8876, 4866, 2719, 7994, 8735, 9790, 6744, 3587, 4790, 9594, 7838, 4615, 1394, 4406, 4480, 5744, 7439, 1132, 2986, 7702, 3877, 2408, 4777, 4235, 2622, 5293, 4412, 2151, 1460, 8813, 2599, 4793, 2965, 7263, 701, 9646, 2485, 6730, 5442, 1247, 7795, 8420, 6460, 3540, 8279, 8994, 8865, 6625, 136, 9467, 1215, 279, 490, 466, 2555, 5801, 9566, 623, 6767, 2940, 9354, 4879, 6634, 2482, 8873, 8117, 4987, 4029, 606, 9212, 3320, 4595, 7051, 9943, 8352, 6121, 3646, 9319, 4807, 1554, 4238, 7919, 5148, 273, 8210, 7266, 1619, 7240, 5655, 6760, 8949, 6067, 7151, 8746, 6271, 7314, 7204, 3906, 4757, 3476, 1050, 9356, 8177, 2288, 6843, 8068, 4725, 4222, 1757, 9784, 7316, 4337, 6526, 5540, 5050, 2564, 7586, 9761, 3185, 1567, 4310, 4650, 2808, 6044, 9339, 5660, 6217, 1683, 1199, 4004, 1141, 856, 7508, 5296, 9821, 9025, 6376, 2348, 4450, 3382, 1406, 2730, 911, 1762, 5273, 3579, 3566, 4594, 1760, 4749, 2371, 4662, 5129, 6581, 7042, 8999, 4829, 4016, 4308, 8150, 9713, 7783, 8013, 1373, 2368, 9393, 5092, 4591, 517, 9398, 6849, 9260, 2090, 2799, 2382, 802, 6234, 1761, 2436, 7120, 9149, 3788, 6010, 3230, 7965, 8983, 4454, 1478, 5162, 1133, 6347, 5832, 2215, 2645, 5782, 560, 5032, 9702, 5988, 4589, 528, 7597, 6483, 3748, 3712, 7621, 8344, 1335, 5238, 799, 3780, 7038, 919, 1738, 1934, 8309, 6964, 5626, 2073, 272, 319, 8672, 576, 4609, 112, 5931, 1649, 7462, 1979, 3108, 2498, 4397, 1821, 2132, 3190, 2853, 5544, 9127, 8055, 8613, 4850, 5251, 5872, 59, 8036, 4283, 9764, 3900, 7131, 578, 1126, 830, 2458, 6728, 4765, 9199, 9432, 6142, 5402, 5774, 85, 724, 5862, 3433, 1340, 5192, 125, 311, 9399, 320, 5863, 5098, 8841, 1865, 6651, 4862, 2142, 7017, 1211, 1617, 2430, 2815, 12, 7502, 2765, 1970, 7192, 3963, 1368, 2194, 5390, 8595, 9093, 2040, 8265, 3757, 4694, 7857, 5916, 9499, 5315, 6496, 7740, 4121, 4740, 812, 7153, 9799, 1251, 1221, 1489, 2812, 3895, 5642, 8911, 7133, 8749, 2632, 5628, 8505, 6693, 9254, 7115, 3517, 8631, 9321, 5046, 1118, 2141, 7436, 3675, 2583, 1110, 1656, 4017, 4759, 813, 504, 8058, 558, 1587, 1019, 8535, 3991, 1594, 2130, 5524, 6383, 9193, 5031, 3898, 1304, 3683, 4179, 7185, 8901, 7351, 250, 9672, 8494, 6822, 2462, 4437, 4015, 7409, 8174, 2553, 4093, 2242, 1946, 5689, 1301, 3626, 4388, 3935, 7466, 8429, 3359, 8760, 2013, 783, 3560, 907, 3043, 992, 4368, 7090, 4922, 3669, 2627, 8806, 8943, 3062, 7138, 7581, 547, 8436, 8825, 3406, 25, 5653, 7081, 6855, 3975, 8455, 6771, 4411, 357, 6247, 6850, 1071, 5227, 1284, 2187, 9420, 3620, 5277, 6584, 4348, 1793, 793, 8950, 3666, 1078, 4605, 8369, 9950, 707, 3801, 4289, 3478, 8655, 3070, 3972, 2316, 9722, 9353, 7142, 1596, 2907, 8622, 6839, 356, 4070, 4261, 5074, 1391, 9658, 2509, 7152, 6909, 6132, 541, 8498, 324, 3421, 6001, 6680, 464, 1398, 3618, 437, 8234, 7662, 245, 5679, 1508, 1035, 2951, 266, 9204, 8029, 5248, 7891, 2631, 818, 3194, 5037, 630, 497, 5439, 1933, 8180, 5471, 4455, 9993, 9183, 5693, 6698, 4612, 7160, 2589, 2994, 2780, 9022, 7310, 2127, 3264, 947, 6616, 725, 5703, 8370, 1040, 9649, 1164, 516, 1475, 3572, 6984, 3360, 473, 2136, 7020, 7234, 8424, 2347, 5902, 7773, 706, 940, 1855, 8033, 1616, 4343, 8882, 5467, 1095, 4064, 6452, 9596, 9946, 5057, 1765, 7851, 458, 9394, 2865, 6958, 3299, 6209, 3168, 6204, 7693, 4379, 9707, 6031, 6231, 5710, 2115, 5403, 1320, 4840, 9387, 4632, 3662, 518, 5651, 9446, 613, 71, 7967, 5920, 3753, 7557, 3435, 6927, 2048, 869, 8939, 9619, 7277, 2235, 6615, 9061, 5948, 8750, 3330, 1474, 543, 116, 209, 8878, 6501, 9326, 6566, 7820, 6762, 980, 3554, 1111, 8138, 509, 4897, 1496, 2973, 2867, 5083, 3379, 2768, 7801, 958, 8780, 2407, 809, 1532, 9767, 4767, 1501, 2682, 6796, 3518, 7672, 9574, 2792, 1332, 4116, 9007, 8135, 4607, 4369, 188, 317, 5983, 5581, 2919, 6171, 301, 2076, 4940, 2487, 8650, 7541, 8293, 8, 3612, 3205, 4366, 4375, 3485, 7978, 2234, 5746, 7249, 892, 7214, 1021, 890, 7603, 7582, 4316, 5845, 3440, 9085, 5039, 4005, 1987, 4332, 3006, 7035, 7772, 6303, 2255, 9706, 4579, 3664, 7587, 2027, 2290, 2600, 834, 3196, 6099, 326, 1511, 2540, 4363, 3509, 6482, 6643, 73, 721, 2977, 3292, 5183, 2796, 9200, 2427, 5575, 6232, 7021, 3361, 6176, 6906, 9834, 568, 1072, 519, 1491, 1817, 6060, 6955, 6824, 7663, 4539, 9044, 2177, 1822, 1187, 7443, 9117, 2393, 1530, 9475, 1026, 7545, 2298, 3453, 3174, 6337, 254, 4080, 373, 8636, 8390, 6527, 68, 7700, 3677, 1193, 5715, 1166, 3821, 1472, 7076, 3251, 9664, 4846, 6069, 123, 2098, 5095, 5389, 117, 1529, 8312, 1466, 8405, 9009, 3596, 2448, 4176, 3925, 3568, 5331, 9164, 7383, 2524, 6538, 2724, 163, 166, 7170, 1176, 8191, 4191, 3863, 5692, 7, 2320, 6589, 8541, 7381, 8933, 8256, 2734, 4448, 8220, 9331, 7506, 4885, 2679, 7741, 9597, 6423, 110, 4848, 1850, 5687, 8548, 8570, 61, 7407, 6000, 2836, 3849, 4135, 8533, 5936, 1781, 4669, 7315, 6339, 2701, 8225, 7936, 1994, 6768, 2677, 6752, 3022, 5852, 405, 4527, 8207, 1237, 9012, 1206, 2369, 7212, 1055, 748, 982, 9184, 6361, 7894, 2832, 1580, 1102, 792, 17, 472, 8186, 2689, 2119, 2546, 6611, 300, 1889, 4258, 2336, 2281, 9491, 3600, 5557, 9925, 2890, 3932, 8004, 9645, 2341, 5172, 6669, 2882, 4149, 923, 8402, 9229, 559, 6226, 6754, 9081, 1207, 9379, 6401, 1593, 4152, 3001, 5602, 5202, 3093, 6699, 8111, 506, 8285, 2819, 3565, 5889, 4937, 6513, 2007, 6997, 5186, 4123, 6008, 6360, 836, 3784, 5586, 7405, 9660, 9280, 6178, 8506, 4012, 416, 8988, 5076, 6690, 555, 6034, 8837, 7844, 2698, 1681, 5859, 4867, 4538, 7716, 3558, 4398, 5615, 7412, 2011, 1881, 1417, 531, 4716, 3794, 2744, 1276, 2880, 9222, 6627, 4986, 9470, 9935, 1001, 8121, 8105, 9383, 2566, 8240, 423, 2160, 4735, 1471, 9414, 242, 6059, 4988, 3790, 5016, 4535, 5490, 1362, 7424, 7900, 1525, 2110, 164, 2196, 7367, 9106, 6585, 6457, 9265, 2405, 6787, 9869, 9087, 1772, 8731, 3974, 70, 7777, 6883, 2019, 2446, 6591, 7180, 7287, 9246, 9359, 4324, 3616, 9070, 8168, 3986, 9167, 169, 9010, 3126, 75, 5274, 3736, 6275, 8565, 3132, 2208, 8811, 2946, 9476, 939, 8799, 6956, 9194, 8763, 4030, 8605, 7625, 3210, 2188, 6514, 3854, 207, 7814, 7873, 6617, 1506, 5425, 2527, 8552, 4244, 1002, 1365, 3724, 9084, 2531, 8247, 4356, 1089, 3533, 5522, 5462, 3061, 9892, 5182, 5111, 8899, 6135, 9091, 8235, 7093, 4130, 4659, 2569, 97, 1864, 7788, 8800, 7317, 2390, 6629, 8011, 7675, 5512, 1507, 7546, 6805, 5284, 2920, 9262, 1912, 5797, 7327, 3665, 7013, 2491, 3258, 9954, 6022, 6259, 4781, 8602, 994, 5666, 1863, 8910, 599, 358, 8883, 2662, 6193, 2827, 1752, 9100, 4494, 9601, 7203, 2967, 7440, 5460, 415, 3304, 9519, 9857, 7624, 5412, 7041, 3992, 9529, 226, 6191, 7503, 2313, 9570, 1996, 2218, 4666, 6547, 9667, 6385, 7682, 6002, 527, 228, 3745, 9828, 3922, 1836, 8017, 5318, 3077, 4259, 797, 6283, 2428, 6692, 915, 8782, 4524, 4596, 5526, 9297, 7810, 1392, 4611, 4972, 1065, 7960, 5619, 4020, 4105, 8774, 7902, 2185, 7949, 6336, 8787, 6695, 885, 9304, 3676, 9225, 591, 4104, 3438, 1497, 6814, 1839, 5207, 1911, 4849, 2125, 769, 6792, 621, 4919, 2423, 7012, 5986, 3486, 7870, 7514, 5444, 7648, 7739, 1057, 7554, 2338, 3289, 6988, 1426, 3667, 9145, 9074, 4722, 5965, 355, 3803, 2094, 3979, 7307, 6973, 8197, 1767, 2854, 9441, 1795, 7907, 8212, 1109, 6083, 5477, 5849, 3370, 4098, 5106, 3057, 9709, 7053, 1052, 7511, 9177, 5690, 3915, 9778, 5542, 4973, 8977, 6522, 2649, 7059, 2106, 3544, 9739, 20, 6986, 1224, 6253, 5269, 2614, 8274, 3245, 4376, 3578, 9107, 1197, 866, 3103, 4312, 1774, 8572, 8725, 7471, 9079, 4634, 2713, 4033, 699, 7188, 2760, 1155, 5256, 5896, 1559, 9875, 2081, 7537, 2219, 7435, 5406, 8935, 8490, 5103, 846, 6046, 1281, 7765, 2246, 774, 8206, 8902, 9005, 6842, 6989, 7565, 2377, 5118, 4772, 7878, 3040, 8023, 2150, 5164, 6215, 3581, 1172, 628, 1484, 2061, 5723, 6564, 6508, 2740, 9089, 4625, 8937, 6172, 378, 9278, 5271, 3768, 9581, 7433, 3316, 7052, 5921, 3335, 8845, 9577, 6375, 6677, 6985, 488, 8598, 1581, 2513, 2554, 4352, 7194, 1298, 2754, 2304, 9281, 3882, 6800, 3763, 2858, 6867, 4048, 905, 2287, 496, 3479, 8649, 1623, 847, 4744, 7914, 521, 6413, 2848, 2561, 7681, 5018, 2752, 618, 8360, 1295, 5898, 4813, 8663, 2376, 1208, 944, 9352, 3415, 5709, 7802, 5367, 3672, 7690, 7345, 6389, 6751, 2379, 1776, 2366, 2060, 8463, 3955, 4040, 9469, 3252, 6720, 3839, 6306, 4345, 1673, 7811, 3647, 2790, 9227, 6407, 6119, 6244, 1169, 8087, 712, 2174, 8100, 9480, 6270, 9825, 200, 7392, 7168, 6366, 9576, 3756, 6503, 9140, 3162, 6459, 747, 3172, 9684, 1513, 5767, 7981, 1337, 5566, 8306, 4626, 1014, 3605, 33, 5456, 7734, 6548, 789, 2916, 2781, 9325, 6586, 4931, 9882, 9408, 9116, 6550, 5905, 6298, 5355, 8452, 3516, 7631, 6082, 2805, 3522, 8157, 8748, 1387, 7551, 1666, 5169, 4051, 2384, 1838, 7150, 8917, 569, 7414, 8730, 230, 8872, 6847, 295, 1119, 5033, 100, 4382, 7578, 9840, 8063, 3883, 363, 7450, 9024, 4884, 3195, 8430, 4681, 1350, 7016, 1735, 8675, 4827, 2009, 9034, 7809, 3777, 251, 2840, 2311, 8286, 7006, 9405, 3063, 7755, 2709, 8530, 5401, 664, 8400, 9028, 5537, 2003, 2950, 1786, 7159, 9610, 364, 705, 2642, 1059, 5620, 6959, 9615, 8510, 593, 4094, 6961, 6536, 3068, 1305, 7769, 6788, 7394, 935, 8803, 5860, 4995, 3216 ], [ 717, 6402, 1336, 6745, 7829, 2516, 3798, 3893, 2837, 5649, 1887, 2345, 4819, 1812, 3114, 1411, 9651, 3826, 3880, 210, 693, 9735, 5567, 3564, 3156, 6356, 3983, 7470, 7836, 1926, 1896, 9874, 2999, 2789, 5008, 1287, 8376, 1936, 5890, 1719, 1705, 3861, 8987, 5436, 6015, 6422, 2108, 1990, 6657, 6775, 45, 3914, 3521, 7055, 3038, 4027, 6517, 9258, 9191, 3539, 9863, 8517, 1085, 3844, 1514, 9451, 2656, 3380, 1810, 8249, 9648, 3300, 5325, 1878, 3081, 4410, 7256, 1671, 9696, 2470, 2607, 3805, 6084, 1438, 1702, 8702, 9740, 6230, 1344, 5851, 9663, 7879, 9963, 2231, 7635, 8328, 307, 5084, 909, 7111, 6310, 722, 4791, 7048, 760, 2529, 3026, 2784, 178, 6335, 4503, 3635, 15, 37, 1495, 4327, 5290, 9844, 7572, 336, 410, 4464, 9006, 3744, 6545, 7704, 3682, 1997, 344, 2620, 8752, 2422, 9569, 9914, 3117, 2870, 1180, 8021, 5722, 8026, 2883, 8464, 9656, 4502, 4, 4336, 8340, 1238, 5480, 9505, 2254, 3388, 2421, 3497, 1498, 1311, 6709, 1916, 5783, 8432, 232, 5245, 441, 5410, 1910, 3002, 8991, 1866, 1374, 2192, 7239, 7458, 8947, 4333, 5891, 8045, 1080, 6181, 1628, 5179, 1841, 5354, 7186, 7360, 113, 9113, 8629, 6580, 1094, 7337, 3346, 4672, 1499, 5371, 9985, 8701, 5418, 9484, 9362, 1956, 4361, 1785, 7078, 4359, 8962, 2626, 3134, 9076, 197, 4187, 8252, 3017, 6138, 2897, 2033, 5762, 1852, 3118, 5525, 864, 3282, 220, 6049, 7438, 3867, 1442, 4510, 6477, 6924, 8575, 4442, 1234, 4563, 781, 4794, 5977, 5827, 2245, 108, 7112, 6344, 9288, 9150, 675, 7268, 6342, 976, 1487, 9397, 5887, 2312, 674, 1831, 6097, 4806, 7731, 4853, 6246, 6714, 3965, 2079, 3275, 6715, 350, 6737, 7904, 8757, 3542, 9228, 5223, 8913, 2980, 4941, 9463, 3709, 8385, 3781, 4944, 5302, 9249, 5363, 6780, 1447, 9631, 6077, 5323, 5061, 7930, 4665, 6798, 1268, 7536, 42, 9008, 690, 8576, 8723, 5438, 3189, 9675, 270, 2209, 851, 2833, 7330, 8707, 8485, 4203, 6272, 2157, 2410, 4026, 9206, 2122, 6351, 6380, 1880, 6875, 7613, 7448, 570, 6420, 3357, 2411, 1371, 6880, 8107, 8946, 255, 9573, 4647, 9337, 6758, 4428, 3475, 7984, 961, 4163, 6177, 8863, 1315, 6338, 7275, 2703, 3785, 9211, 4087, 3776, 9244, 2575, 1317, 8071, 9794, 8002, 5216, 9129, 9181, 5806, 7882, 2134, 1455, 6803, 453, 4197, 4256, 1201, 4762, 8708, 5736, 3016, 888, 7219, 8330, 8470, 8061, 9279, 5571, 5664, 3051, 4710, 7353, 8885, 1707, 1470, 5573, 7261, 5317, 9162, 8462, 4796, 306, 7377, 8515, 1479, 6037, 2521, 8035, 9054, 4951, 9871, 482, 185, 6439, 1299, 7047, 8181, 5685, 8658, 6498, 9096, 7626, 8076, 9508, 5294, 6273, 8695, 5292, 3848, 9160, 130, 8410, 6305, 6096, 6845, 5933, 9929, 7671, 5881, 6915, 8083, 9065, 1030, 6473, 4061, 1153, 5045, 369, 6292, 3840, 6358, 7061, 8724, 6895, 8120, 3148, 7830, 6907, 2541, 6811, 7311, 7303, 1044, 5991, 9418, 8887, 7273, 2807, 6871, 6252, 2389, 6390, 3961, 7845, 9896, 8478, 3720, 6608, 3824, 6125, 9586, 186, 6109, 236, 4340, 9682, 5445, 9447, 3414, 7069, 6436, 983, 478, 7877, 2936, 5994, 454, 4706, 9695, 7416, 9836, 7467, 4936, 7474, 5764, 4228, 2617, 1084, 9214, 6302, 3417, 2193, 7388, 5808, 5719, 2501, 5765, 697, 5047, 765, 7227, 805, 8484, 9045, 6853, 8600, 6949, 8900, 7931, 4189, 3125, 7403, 9783, 6628, 4938, 6841, 3601, 2380, 6838, 4798, 4124, 8817, 8189, 4954, 7887, 1165, 1053, 7691, 1354, 8042, 1361, 3956, 2891, 9247, 2139, 3557, 6493, 3120, 953, 4657, 8768, 3782, 9299, 9815, 691, 5225, 7744, 1902, 196, 3374, 1536, 3817, 3787, 4083, 5770, 6897, 1633, 7840, 2383, 8104, 1204, 4281, 6170, 4137, 5200, 5508, 8253, 5117, 8447, 2674, 7842, 7596, 4057, 1347, 7049, 532, 9152, 7853, 9320, 5452, 8978, 4253, 7913, 4628, 2802, 2237, 3834, 9600, 5789, 1152, 4531, 5551, 9548, 3097, 5120, 2236, 7135, 5155, 5639, 5420, 7207, 5147, 9831, 3416, 7941, 6102, 4876, 6449, 2158, 3501, 1823, 5880, 8866, 7861, 1376, 9023, 3534, 8891, 6807, 997, 2872, 9622, 9829, 3326, 5886, 4465, 4254, 6694, 827, 2416, 1688, 784, 2229, 2800, 1244, 4467, 2604, 7940, 8971, 8323, 7251, 9424, 8355, 6309, 5048, 1713, 6554, 4396, 1275, 5205, 8113, 2028, 3459, 7349, 3552, 7849, 5298, 3112, 4325, 421, 6891, 1325, 8871, 8834, 79, 3526, 1963, 7228, 4389, 2874, 9603, 2623, 9681, 7136, 6905, 2816, 511, 5287, 9377, 3331, 6400, 8049, 9515, 2551, 7331, 8466, 4739, 4561, 9870, 7107, 2133, 5784, 1468, 6320, 7585, 6936, 5901, 3470, 6168, 3793, 4372, 7771, 8030, 2537, 9501, 3049, 9953, 7247, 2496, 434, 688, 3019, 8190, 6470, 7341, 3543, 8008, 7867, 2683, 4792, 5279, 9823, 854, 8291, 6301, 5123, 2908, 7155, 8851, 4871, 5495, 8844, 1539, 366, 6977, 8474, 3257, 2179, 3718, 7526, 9976, 5307, 4393, 7513, 9901, 8770, 7113, 8671, 3160, 7805, 2660, 6094, 349, 439, 9358, 776, 4240, 3997, 6052, 3178, 7485, 7141, 3436, 5362, 9203, 2707, 7419, 6451, 6216, 54, 121, 5099, 1574, 1405, 5974, 4165, 4654, 6161, 7358, 2655, 259, 588, 1643, 4151, 481, 2687, 2292, 4613, 8745, 4183, 2326, 3644, 9652, 3044, 418, 7181, 8970, 4456, 6184, 4188, 3595, 3288, 4323, 92, 9999, 1598, 3398, 609, 4699, 8532, 933, 65, 773, 2357, 5249, 949, 6285, 11, 2746, 5052, 5027, 1534, 7116, 4872, 718, 81, 7417, 7746, 7162, 9930, 9715, 4701, 8343, 4745, 1734, 267, 6435, 9655, 8215, 9055, 9716, 3903, 4656, 2006, 6203, 4904, 1205, 3259, 1755, 4218, 198, 5346, 7617, 2535, 3319, 1556, 2205, 8118, 1678, 1023, 379, 7339, 6874, 2515, 2352, 6190, 594, 2398, 2024, 7097, 9891, 5199, 406, 4122, 6944, 8471, 503, 7923, 7973, 624, 8433, 5726, 5507, 3610, 4564, 4763, 1004, 5387, 2927, 1862, 3937, 6972, 7667, 7893, 9419, 8644, 4401, 6894, 3273, 3413, 5392, 2938, 5962, 7623, 9969, 7850, 3594, 1783, 3907, 3792, 1011, 8272, 5930, 3130, 168, 3498, 2904, 767, 3637, 8199, 9180, 1397, 4586, 5900, 2601, 5964, 6952, 679, 1278, 3729, 8037, 430, 2439, 5165, 8789, 6063, 5967, 1901, 6941, 4818, 432, 3215, 2314, 7800, 5659, 5792, 7906, 6605, 4894, 8556, 5706, 7156, 7445, 2328, 3715, 5431, 7925, 9521, 5333, 8963, 2206, 6240, 8183, 1060, 7193, 4034, 2830, 2824, 9119, 7479, 4457, 1537, 3239, 4186, 3994, 7570, 335, 6220, 5265, 1, 5976, 8765, 3250, 4543, 39, 1952, 2751, 5658, 2342, 6920, 2741, 1147, 8954, 3829, 5698, 5614, 6772, 6868, 2362, 222, 8155, 424, 6396, 1188, 2835, 5597, 3702, 3139, 7653, 7698, 1868, 5754, 8662, 7374, 2941, 6511, 6668, 1826, 1692, 3537, 7399, 2988, 8006, 9219, 4696, 6053, 4971, 5024, 2310, 6263, 5713, 3241, 2070, 5311, 742, 7469, 6595, 4764, 4514, 5671, 8187, 622, 6352, 2503, 1579, 7226, 9927, 1550, 6143, 5154, 208, 9670, 7437, 9413, 7599, 337, 4643, 999, 4573, 6048, 1339, 6200, 8942, 7632, 2761, 1625, 9977, 9098, 9455, 8831, 1245, 3740, 174, 1647, 8148, 9295, 7461, 3950, 9035, 1378, 7063, 768, 3825, 7594, 5960, 4976, 6223, 3860, 5635, 8656, 6116, 9770, 7085, 8382, 5633, 795, 5688, 5101, 1869, 5053, 9384, 1031, 3721, 653, 7942, 5846, 9312, 1116, 4588, 9588, 5449, 8712, 8295, 829, 4328, 5124, 3119, 3810, 9243, 96, 553, 1022, 7872, 2597, 7905, 9323, 8586, 4779, 8775, 7044, 5731, 9970, 3298, 9300, 8642, 4296, 262, 9489, 7908, 8744, 8454, 192, 1725, 6129, 1548, 6068, 819, 2087, 3358, 5560, 291, 5173, 1009, 4639, 1264, 1429, 735, 2029, 534, 863, 6639, 2563, 6940, 3547, 9773, 575, 205, 6373, 3549, 7661, 889, 2556, 6890, 2289, 9236, 9845, 2426, 7932, 8924, 6199, 1523, 8982, 8762, 3332, 5788, 6934, 2056, 2492, 5398, 1552, 6965, 5924, 1913, 9301, 6, 4290, 6830, 5038, 5758, 894, 9754, 7888, 4380, 3321, 1945, 9083, 8936, 4374, 2232, 9466, 665, 7935, 8966, 7728, 5421, 8368, 7357, 404, 1090, 8119, 7015, 3327, 3243, 1857, 2447, 2041, 6996, 397, 1430, 3524, 9729, 5831, 1121, 4468, 6670, 1766, 8628, 7036, 374, 1515, 4977, 3926, 2775, 9349, 8912, 8681, 4432, 4198, 4921, 2763, 7430, 4832, 443, 8411, 8640, 5864, 9617, 3855, 394, 9900, 5469, 589, 9493, 5241, 5144, 9629, 9567, 4530, 6810, 308, 138, 233, 7253, 1519, 7530, 6218, 4439, 6038, 5127, 5322, 1175, 3771, 529, 8088, 8444, 8615, 6333, 4014, 3065, 9607, 1882, 2857, 1773, 4371, 2140, 19, 8437, 9699, 3434, 8192, 8805, 4025, 3318, 6021, 3235, 6662, 8922, 9075, 7301, 6468, 1751, 3389, 46, 6187, 1777, 1492, 8951, 9802, 9772, 900, 2887, 6427, 2058, 6144, 408, 5489, 7933, 4276, 4493, 2610, 392, 5391, 2702, 6307, 8170, 9520, 8694, 4998, 8282, 7395, 8354, 5963, 5388, 1677, 9310, 9481, 1884, 9971, 8386, 2517, 7754, 7335, 6779, 5404, 3802, 9719, 32, 9371, 2782, 9401, 2901, 4875, 6126, 7510, 4963, 2381, 9062, 9661, 3009, 83, 1062, 2646, 3741, 8377, 3455, 4358, 6296, 9545, 2766, 5419, 9267, 746, 1700, 40, 7881, 4018, 9120, 2664, 8551, 6561, 3085, 9234, 6264, 2483, 4220, 5472, 8112, 7784, 7071, 7505, 5677, 127, 2238, 2047, 9592, 2657, 556, 7944, 6571, 5385, 1103, 2584, 5356, 5759, 1679, 7899, 3866, 5306, 2577, 5070, 1302, 7660, 1355, 662, 756, 8773, 1181, 2099, 4614, 7072, 7556, 7639, 3124, 4952, 412, 7650, 7743, 6006, 1461, 4638, 9558, 6245, 2307, 7535, 4424, 1076, 9760, 9659, 1195, 9513, 6826, 3351, 8472, 2062, 6003, 6825, 3649, 281, 5718, 6224, 3102, 1779, 6781, 2562, 1943, 7039, 7807, 5349, 7897, 4251, 4133, 9843, 2959, 156, 8905, 7835, 780, 957, 2118, 2201, 3428, 2921, 6568, 3192, 3487, 6238, 6429, 9908, 9559, 694, 3739, 4769, 1695, 1820, 6587, 6656, 8052, 5760, 3107, 8467, 8244, 9626, 2843, 3024, 7189, 8500, 2602, 5997, 8318, 8072, 8051, 8739, 3707, 567, 1663, 6613, 7735, 5136, 5612, 7370, 7197, 4800, 6173, 6740, 8250, 6742, 2324, 1716, 3451, 8336, 5516, 7798, 6486, 986, 7295, 4427, 6316, 3851, 9276, 3137, 6659, 3548, 2054, 5130, 6519, 1419, 587, 9507, 6381, 4347, 708, 3037, 8669, 5502, 9039, 2841, 926, 6085, 3140, 6346, 9906, 2542, 6367, 3481, 672, 3067, 5858, 4326, 5062, 8808, 3045, 6120, 9676, 9981, 4516, 4440, 5376, 3679, 6086, 4805, 7865, 7237, 3015, 7778, 4747, 7441, 2291, 7143, 9495, 9692, 5975, 8060, 6430, 9992, 7964, 514, 4174, 602, 3628, 7654, 3870, 7343, 122, 6951, 7651, 3286, 2197, 9974, 848, 6446, 1017, 6484, 8523, 4698, 7658, 9, 1947, 3352, 8620, 1313, 8880, 2124, 4877, 9966, 285, 1949, 2217, 1978, 1976, 5552, 7869, 2783, 6239, 323, 263, 8894, 1602, 4013, 5309, 2263, 1685, 5416, 8123, 1463, 626, 8698, 4636, 1493, 332, 3458, 9932, 9099, 1591, 3253, 4680, 9347, 3894, 4799, 8342, 9683, 2145, 5081, 7231, 6225, 3812, 3340, 5998, 436, 1739, 6793, 8351, 1291, 7951, 3727, 5204, 1359, 5576, 5152, 5426, 8587, 5668, 9437, 7947, 7717, 7074, 6146, 2050, 7687, 1833, 7714, 1322, 6480, 6463, 2511, 7309, 7244, 5995, 3020, 4592, 8544, 3268, 7670, 5051, 8130, 5435, 3003, 3467, 7606, 1502, 8317, 5336, 4445, 2818, 7515, 7939, 3021, 4245, 109, 106, 731, 8366, 9768, 3403, 4692, 5785, 2262, 7579, 6878, 6073, 4562, 4144, 9132, 8919, 6466, 2104, 7183, 4211, 4341, 5255, 7709, 298, 2052, 3018, 3443, 6103, 1728, 5280, 9780, 5437, 1759, 5080, 7678, 2910, 9068, 3480, 7257, 239, 815, 8231, 8246, 8528, 637, 2361, 400, 9609, 824, 831, 5934, 8892, 2700, 5621, 5234, 4630, 6502, 4743, 1897, 6854, 604, 5985, 3353, 9556, 7486, 2494, 5857, 5149, 1476, 1046, 9798, 1630, 5115, 1977, 3012, 8106, 2548, 4486, 4164, 5168, 3623, 3791 ], [ 5786, 9568, 2651, 8633, 621, 6379, 5207, 3280, 2453, 9620, 8106, 5219, 4049, 612, 8853, 2254, 1321, 1886, 7747, 263, 255, 8525, 5987, 3877, 7365, 5605, 558, 1744, 668, 3187, 2426, 6878, 7880, 1057, 7124, 3615, 1797, 8508, 9798, 5425, 7360, 3893, 7072, 6331, 905, 5197, 5980, 7988, 5252, 5297, 9033, 6057, 2377, 1998, 3840, 9605, 1044, 2680, 7108, 4549, 7340, 6724, 9459, 5088, 3563, 7351, 476, 8113, 765, 8207, 4260, 1310, 892, 4451, 2547, 7865, 8474, 789, 2904, 1782, 165, 437, 4282, 611, 4079, 5478, 1564, 2995, 7158, 5785, 6226, 664, 8649, 503, 9761, 7835, 7383, 8917, 6347, 8697, 9882, 3360, 1154, 9934, 6867, 5211, 4301, 8255, 2882, 9981, 1258, 2694, 8079, 7719, 8979, 9736, 4772, 8939, 2072, 6529, 9153, 9751, 9376, 9286, 2201, 4563, 8684, 4441, 3500, 9507, 4067, 6195, 6544, 2865, 1468, 3911, 7141, 7987, 7733, 4642, 237, 6199, 1563, 5273, 8691, 4685, 4609, 1701, 8014, 7899, 4442, 1350, 48, 3416, 9365, 3767, 8426, 6409, 8351, 6997, 9785, 5005, 4936, 9091, 5096, 7227, 4725, 7590, 4312, 4579, 218, 8833, 5679, 4246, 6502, 9642, 9132, 8542, 1067, 2302, 4680, 6400, 2312, 9129, 20, 9895, 1729, 5368, 7455, 6392, 3177, 2154, 2086, 2644, 8340, 1267, 460, 8681, 5320, 7309, 3965, 5864, 1427, 4002, 1684, 466, 1630, 3941, 7824, 1857, 3968, 3243, 2619, 3894, 4285, 2868, 4589, 7017, 9673, 5113, 5221, 5391, 4427, 6972, 9450, 2303, 2288, 9582, 3113, 6621, 9390, 1824, 4969, 6900, 6514, 9580, 591, 2284, 8638, 8582, 3701, 913, 9973, 3853, 2948, 8933, 1160, 1495, 2138, 8151, 396, 2287, 4355, 3337, 1125, 1872, 1700, 286, 1078, 140, 7118, 7104, 5235, 5804, 3394, 4878, 8929, 8354, 3626, 8342, 9009, 1531, 7751, 9352, 4987, 2048, 6821, 8830, 1951, 1773, 658, 2983, 3283, 7114, 8935, 2674, 9287, 9579, 9238, 5877, 8628, 6365, 6243, 5301, 4527, 3410, 1156, 5571, 308, 5206, 3310, 4102, 6330, 7820, 7328, 8286, 1665, 5578, 4924, 8292, 4870, 7770, 5627, 6667, 1734, 826, 4920, 5695, 5506, 2405, 7177, 2744, 1322, 1430, 6700, 590, 4176, 4221, 8879, 8199, 4773, 9512, 7395, 1032, 6998, 7424, 5890, 4663, 6780, 9013, 2760, 1317, 709, 2696, 4056, 6799, 1704, 1833, 8905, 8553, 3154, 8019, 8580, 9230, 9139, 1821, 705, 9261, 9415, 8584, 1838, 1341, 4023, 3230, 5182, 9858, 9654, 2375, 7730, 2819, 5119, 9755, 8233, 2260, 5102, 9218, 6755, 781, 4378, 6638, 6674, 4805, 7165, 9609, 6223, 6618, 4809, 5032, 204, 4694, 2040, 2100, 2675, 4259, 9200, 5367, 2900, 7913, 1879, 4963, 1840, 1042, 8173, 3342, 9131, 7507, 5771, 951, 9726, 9722, 5289, 1784, 8409, 3957, 2823, 6542, 2603, 5236, 9820, 1914, 5433, 6085, 3724, 9874, 5336, 636, 9911, 9978, 869, 8050, 6058, 7912, 831, 1274, 1462, 293, 4869, 4698, 8368, 3661, 139, 5616, 6292, 8666, 7848, 5949, 8365, 2808, 5439, 5952, 9537, 1197, 4040, 7482, 4402, 3987, 5147, 207, 4055, 4671, 7797, 7255, 4275, 1591, 5304, 8130, 7628, 3735, 6941, 9685, 5035, 2639, 6375, 4376, 4475, 7452, 2724, 2386, 9559, 410, 3438, 5880, 4477, 3756, 7972, 6403, 7739, 1105, 4173, 9977, 700, 6824, 378, 3254, 6041, 7432, 6488, 1162, 1976, 4568, 5523, 3265, 1491, 5852, 1408, 5942, 739, 3005, 9108, 7368, 3639, 1909, 1164, 8994, 7259, 4570, 4024, 9508, 5646, 9636, 2506, 1569, 682, 5768, 5579, 8518, 4020, 9878, 6677, 1284, 8559, 4598, 991, 5392, 3146, 2192, 5681, 7693, 5766, 3669, 6129, 1424, 2122, 4988, 4425, 8023, 4286, 9794, 4561, 7870, 3828, 2498, 5648, 7512, 6368, 482, 5870, 485, 402, 3367, 6273, 9356, 8381, 9995, 5954, 399, 8829, 4893, 290, 4831, 2540, 8080, 3822, 1163, 9865, 7033, 2863, 6377, 3325, 2421, 2707, 4927, 6311, 6479, 1809, 1992, 4814, 1736, 8477, 7798, 9800, 6602, 2700, 247, 8531, 6356, 7100, 1229, 8034, 8899, 6994, 4947, 2798, 7508, 6921, 8396, 8932, 7297, 5774, 354, 3645, 6053, 7910, 202, 3763, 4571, 8656, 6300, 5470, 1722, 6005, 9769, 5606, 4074, 1429, 1009, 8762, 8223, 9585, 673, 2181, 7914, 8773, 8825, 5358, 5344, 6168, 7785, 874, 7882, 3672, 2936, 3463, 6414, 6188, 975, 4822, 8294, 1725, 1233, 6072, 4835, 7441, 7038, 3212, 220, 379, 5879, 2574, 3880, 808, 9766, 214, 1508, 1666, 2342, 821, 8349, 1642, 7823, 8745, 917, 1117, 3309, 5434, 6277, 9847, 7565, 1889, 3206, 5511, 3519, 1255, 9869, 7781, 7970, 6731, 608, 9646, 9675, 7204, 6231, 6607, 3984, 9328, 3356, 1820, 5992, 8754, 7749, 727, 189, 1507, 9596, 4135, 4854, 2584, 3092, 960, 6416, 5178, 5485, 3505, 6314, 6490, 5855, 95, 8915, 5027, 1075, 6322, 9419, 940, 6408, 3820, 85, 9138, 1522, 5821, 4207, 1324, 2903, 4541, 7488, 1741, 6975, 930, 6612, 1605, 6116, 876, 626, 1086, 1726, 587, 1743, 3758, 6338, 6361, 159, 8974, 974, 4354, 9631, 7755, 3905, 6464, 7229, 8509, 5363, 339, 497, 9889, 193, 89, 8982, 8913, 5663, 600, 746, 3587, 9661, 3832, 4830, 7014, 3248, 1553, 2712, 2656, 3304, 2125, 6695, 9943, 9006, 5299, 1775, 9850, 1192, 7305, 6357, 1399, 889, 2976, 2089, 7532, 7047, 4771, 3895, 1648, 9427, 7024, 6289, 5041, 5023, 7732, 7822, 9492, 274, 4166, 9518, 4254, 9015, 3333, 2074, 5505, 3203, 6981, 4933, 7415, 5047, 5892, 2274, 997, 8239, 3638, 6491, 2281, 7459, 2806, 7669, 348, 4786, 7674, 5620, 609, 8447, 2263, 6699, 7126, 9602, 1068, 2175, 2371, 4883, 5657, 7769, 4035, 5126, 1723, 5716, 305, 584, 4776, 1022, 3142, 3494, 9335, 3144, 2812, 9294, 744, 2078, 9678, 1685, 4950, 7895, 3024, 5172, 4952, 1956, 8593, 4607, 525, 7251, 1492, 5802, 6675, 8305, 3109, 4584, 945, 2101, 7291, 6839, 4684, 88, 2229, 2844, 8451, 5902, 8799, 7800, 6789, 8501, 6373, 6429, 7030, 1653, 6977, 6196, 6263, 6265, 2695, 3736, 6828, 6580, 4341, 2525, 3474, 644, 7211, 2729, 280, 6433, 953, 4243, 5136, 4318, 6570, 2158, 4932, 1231, 7815, 2966, 6067, 5818, 1187, 5706, 1045, 3585, 4628, 1193, 931, 5083, 6028, 7619, 6020, 5496, 1005, 7984, 8603, 4009, 3259, 4676, 1314, 1896, 8869, 5719, 8044, 2910, 1401, 4965, 659, 1077, 9239, 7971, 1439, 5106, 7307, 1287, 3232, 3122, 303, 6050, 9228, 733, 4751, 8730, 1709, 3455, 544, 9027, 7522, 4141, 3524, 5276, 8101, 7404, 7786, 1270, 6089, 9172, 8621, 5, 6063, 5812, 8182, 7635, 7758, 225, 2594, 9690, 8574, 3046, 1971, 1950, 711, 8655, 1003, 2248, 4832, 5893, 34, 1235, 1391, 2790, 7500, 5366, 580, 7526, 8415, 9592, 4782, 6541, 3407, 5548, 7388, 1871, 567, 1030, 9694, 4202, 1396, 8862, 8272, 7431, 8740, 7726, 9460, 3632, 8271, 1283, 71, 5466, 7080, 5176, 9402, 6841, 3189, 2497, 4815, 6597, 1409, 2632, 7369, 7490, 5993, 8895, 2202, 413, 8610, 9441, 4982, 7306, 8205, 7143, 7458, 902, 6146, 6303, 2117, 5632, 9285, 6484, 5594, 7250, 4890, 5595, 4930, 2884, 1476, 5280, 4841, 3551, 4555, 9340, 1558, 4996, 1335, 4659, 8960, 764, 7497, 6355, 7021, 2792, 9705, 8296, 7783, 4639, 6282, 6904, 8339, 2385, 7915, 3990, 1860, 770, 9231, 5237, 9504, 4316, 8861, 4679, 9226, 3675, 4066, 8739, 2144, 8136, 2775, 9020, 7206, 2168, 4064, 4395, 5155, 3923, 3807, 2886, 7831, 3264, 4165, 3401, 7762, 200, 7738, 1679, 7437, 5559, 8507, 6163, 7023, 7018, 9136, 504, 1472, 6155, 4596, 2926, 1428, 1083, 9758, 1442, 7729, 1060, 2999, 2942, 9532, 5080, 5518, 4657, 9523, 7849, 3004, 382, 6831, 8549, 5998, 4178, 9890, 4494, 9225, 4090, 7670, 336, 7664, 6785, 5298, 1941, 2225, 2794, 8236, 30, 2275, 8144, 4161, 7846, 147, 1250, 9381, 3650, 9341, 4234, 9615, 358, 5532, 4620, 1405, 1769, 2596, 9925, 5746, 7193, 5656, 2699, 8857, 7278, 1202, 4587, 3620, 8442, 2755, 919, 7999, 6494, 3469, 9638, 3576, 6489, 9072, 5501, 1056, 2734, 982, 4186, 2265, 7711, 6991, 195, 8387, 7444, 254, 6002, 9493, 4220, 452, 2215, 2061, 422, 5313, 8936, 1966, 9314, 8070, 9745, 4928, 1081, 2003, 7273, 6586, 7055, 438, 6630, 2780, 3633, 4799, 2496, 1599, 8361, 9213, 5100, 5777, 1946, 7650, 4732, 8811, 4168, 6517, 7022, 2805, 6688, 4347, 2972, 4271, 3387, 440, 1289, 6162, 7547, 9997, 7864, 6424, 6974, 1617, 8726, 5800, 1757, 4450, 4107, 2727, 2414, 9423, 4556, 9548, 4407, 7468, 7391, 1762, 2745, 3308, 5519, 9765, 405, 1062, 2210, 3159, 5073, 6228, 6012, 2849, 5022, 2971, 8282, 5068, 328, 475, 9068, 2294, 9482, 6866, 7048, 4576, 2845, 2374, 2130, 4896, 3568, 8453, 2380, 9382, 6295, 9621, 4880, 9832, 8791, 341, 9553, 4379, 3787, 6486, 738, 7208, 5862, 6139, 6440, 7585, 5145, 3439, 9367, 302, 3509, 3836, 2977, 87, 185, 3433, 176, 9235, 1930, 6939, 516, 2927, 3942, 9807, 5585, 721, 3495, 4760, 1668, 4158, 1607, 7778, 179, 3341, 3921, 3871, 7898, 7106, 1445, 4876, 3396, 2124, 9073, 3063, 5584, 3979, 1867, 4852, 8795, 6477, 2017, 2697, 1334, 1319, 2187, 9301, 1129, 9008, 8760, 5528, 6321, 502, 7139, 8747, 617, 4230, 598, 2293, 3237, 3699, 3943, 4816, 704, 1205, 1573, 8636, 7491, 4366, 3324, 4521, 6500, 3029, 6232, 8514, 4109, 9984, 494, 8654, 7417, 8196, 1481, 7241, 5710, 5935, 6796, 5587, 4337, 8817, 8016, 1854, 9210, 5718, 142, 5154, 2689, 2832, 4247, 992, 5748, 6791, 5645, 1460, 4072, 827, 961, 4531, 5086, 5226, 2827, 7261, 3079, 6965, 1863, 2978, 8162, 9999, 6946, 9901, 2579, 168, 9490, 9250, 7617, 9891, 1253, 8009, 9030, 2545, 4756, 9222, 9828, 8876, 3770, 4885, 1360, 5958, 6383, 2096, 4223, 2435, 4976, 5016, 6951, 537, 2148, 2079, 7233, 8026, 6845, 6632, 7691, 7612, 7656, 8431, 6130, 6309, 5916, 1143, 1913, 7498, 5030, 519, 7045, 6654, 6279, 5268, 7981, 5347, 7440, 3574, 6932, 101, 3374, 3694, 2002, 2580, 4364, 2952, 9036, 8807, 7103, 412, 8562, 6051, 4309, 9515, 9053, 5063, 4479, 9167, 1961, 3274, 748, 8909, 6764, 7892, 8870, 1623, 3604, 6455, 2083, 6556, 2056, 6059, 8443, 9630, 7941, 2992, 9302, 6957, 8297, 7603, 5454, 799, 7659, 6276, 5383, 4709, 2853, 1931, 3068, 3363, 4833, 3210, 1006, 6546, 6066, 7742, 7040, 4840, 2359, 5438, 9107, 7687, 7325, 681, 2053, 680, 1159, 9586, 4644, 6348, 994, 1579, 317, 719, 330, 304, 3135, 4615, 2743, 1331, 3460, 2608, 6747, 768, 8427, 3680, 5911, 8802, 9612, 8814, 2917, 2026, 69, 8401, 7094, 5436, 2785, 6136, 6650, 8416, 6008, 5157, 7311, 8011, 2169, 7933, 7530, 6097, 9516, 4436, 4979, 7185, 9374, 3856, 9539, 6349, 1200, 6180, 1529, 9545, 916, 5471, 3418, 9371, 1141, 2029, 3870, 2710, 4147, 8998, 1786, 2140, 5669, 1093, 3027, 9541, 9351, 7198, 7465, 3428, 161, 7997, 2456, 8721, 6527, 9440, 3263, 3406, 6367, 3098, 9110, 1035, 6198, 4882, 9715, 9436, 5099, 5920, 6497, 5574, 94, 2925, 8385, 2788, 1354, 1024, 3556, 4677, 9886, 9663, 2464, 4606, 926, 5300, 3095, 6728, 2877, 9243, 7813, 2345, 5868, 3900, 5887, 2329, 9991, 2447, 4216, 1431, 5357, 703, 2104, 112, 5894, 5302, 3077, 6099, 6605, 2346, 5625, 5138, 3607, 6253, 7574, 8609, 561, 3557, 9725, 3072, 7269, 9395, 3511, 6179, 6966, 4962, 2568, 3618, 8343, 9083, 1386, 8031, 7282, 3315, 1444, 72, 7611, 4985, 2913, 9216, 2176, 1638, 977, 8555, 4813, 7002, 8720, 6281, 6098, 5803, 4505, 4313, 7160, 7596, 2625, 3926, 2253, 3993, 2419, 5884, 2793, 6774, 553, 1384, 7896, 3747, 221, 3980, 4509, 2413, 7347, 6874, 6040, 921, 6769, 1053, 8350, 6844, 7068, 1421, 7336, 2822, 5635, 4492, 3231, 1217, 6108, 2767, 5932, 4789, 43, 174, 2897, 8785, 433, 3110, 5754, 1765, 2730, 6606, 9061, 6996, 1454, 7986, 9963, 5181, 7035, 8921, 9485, 7331, 9793, 7218, 1547, 7639, 1275, 4008, 5939, 6381, 2416, 3287, 7696, 9095, 8911, 9040, 7478, 4645, 6391, 2551, 9026, 7361, 5525, 1887, 4929, 1120, 1669, 1296, 8245, 4755, 3802, 8145, 42, 2258, 5811, 5447, 8812, 9799, 1026, 463, 3266, 1542, 3019, 3684, 2762, 357, 3624, 8243, 1327, 596, 501, 2809, 4314, 2373, 2920, 5397, 883, 4310, 3786, 522, 6655, 9049, 6628, 2643, 2640, 4573, 9893, 7429, 8561, 9304, 7044, 4484, 7411, 7576, 3208, 7199, 3060, 8424, 7994, 5402, 4903, 5535, 3887, 49, 677, 4619, 1372, 1378, 217, 7376, 2508, 7548, 4718, 1924, 8417, 3932, 3808, 5969, 8639, 7926, 7366, 6781, 903, 6859, 7817, 1866, 8458, 1505, 1873, 7868, 2631, 2623, 2490, 7517, 5763, 624, 2179, 9679, 1864, 342, 8053, 2255, 879, 6153, 3716, 7394, 9276, 4250, 847, 4514, 5038, 230, 8996, 8552, 5442, 8965, 7577, 6094, 2476, 7155, 7688, 2740, 371, 3430, 8485, 3035, 2661, 8324, 8269, 2556, 3116, 775, 1277, 152, 5024, 8662, 8378, 261, 3480, 6572, 3939, 4577, 8215, 50, 2113, 8348, 6068, 7559, 8679, 9260, 4097, 6459, 6756, 8170, 4758, 1693, 1008, 391, 5776, 9155, 2826, 4482, 4491, 3946, 3643, 269, 6532, 6653, 6691, 9113, 9665, 594, 4277, 1368, 3260, 7810, 3182, 8301, 3246, 9223, 741, 2230, 4648, 8513, 3084, 2986, 9674, 7963, 7119, 7934, 5115, 7993, 7615, 3475, 812, 1650, 5649, 9562, 8599, 2126, 1818, 9401, 576, 5140, 3096, 9394, 8008, 6942, 1070, 5974, 169, 3952, 2573, 909, 3726, 6585, 9822, 4994, 760 ], [ 1361, 9145, 8029, 798, 956, 9104, 7396, 1188, 5791, 8517, 2407, 1878, 9058, 7836, 2058, 8719, 564, 1926, 8623, 2961, 3815, 3533, 360, 9514, 4038, 8131, 148, 2131, 9487, 8102, 248, 6736, 5093, 2516, 9500, 3040, 3450, 9940, 3647, 5580, 4474, 5156, 3765, 7911, 2536, 5327, 3995, 3967, 435, 352, 7589, 4938, 9601, 5386, 4129, 8731, 8462, 3334, 166, 4048, 6838, 3614, 5512, 4528, 7672, 8471, 239, 5087, 4095, 6886, 3228, 3431, 5979, 3634, 3370, 3848, 9910, 256, 1336, 1449, 2243, 1970, 959, 2585, 8337, 8347, 9305, 9767, 7362, 8094, 6396, 9902, 5619, 2612, 7509, 2282, 1013, 1426, 7330, 1153, 2552, 3207, 4539, 9677, 4887, 1240, 4740, 3792, 4456, 2332, 4167, 1458, 5761, 8227, 2878, 9896, 2521, 860, 7472, 3323, 6049, 2016, 39, 5966, 196, 7622, 345, 9906, 9989, 3937, 5293, 2514, 8892, 4723, 9556, 3352, 509, 5160, 8647, 935, 3198, 554, 1541, 1119, 9740, 4935, 3007, 9923, 9378, 3330, 4431, 8519, 4154, 8550, 4749, 312, 8323, 1065, 9188, 2881, 510, 6000, 6820, 2494, 5944, 2565, 8755, 9536, 5227, 6239, 4624, 7549, 6418, 3542, 6574, 5708, 9303, 1682, 8367, 9717, 9790, 3312, 3447, 398, 8763, 3788, 5153, 5793, 9783, 9695, 7434, 1646, 1343, 4921, 2011, 3876, 1404, 6472, 8414, 6793, 6739, 3223, 7506, 8452, 55, 4465, 1588, 7007, 6352, 6643, 2924, 6301, 6923, 3541, 6203, 527, 4722, 9151, 3361, 6238, 3558, 5474, 186, 2737, 8308, 9971, 759, 5309, 9176, 4603, 9866, 6554, 2296, 3986, 2997, 6589, 8918, 2174, 9449, 6003, 1939, 3103, 7998, 8356, 3863, 6412, 9160, 8863, 3058, 393, 6751, 4265, 2232, 7303, 5056, 5107, 231, 9629, 4189, 8398, 3566, 5361, 615, 1298, 7456, 1770, 5542, 9339, 7029, 6499, 3545, 5921, 2955, 8885, 8659, 9829, 5590, 1183, 3380, 3218, 7633, 3427, 1036, 8906, 4267, 871, 8174, 690, 1667, 7789, 8086, 5875, 7146, 6979, 3489, 8725, 4583, 7552, 6463, 8522, 541, 8977, 4218, 432, 3528, 3710, 1947, 805, 7940, 1165, 6562, 1527, 7714, 3964, 4518, 1220, 8630, 7819, 3625, 9974, 9557, 7244, 8338, 3015, 7219, 9887, 6425, 5675, 3369, 6682, 6404, 4187, 3470, 1214, 5960, 5142, 8490, 9917, 4232, 8278, 365, 7410, 7544, 1604, 9812, 3403, 3749, 8967, 3739, 607, 5865, 7188, 1673, 1383, 5321, 838, 2087, 5453, 7816, 3279, 5843, 1535, 8189, 6864, 1438, 5539, 3507, 383, 9280, 2989, 9463, 5549, 2893, 6462, 9645, 1828, 4660, 7147, 3409, 9336, 4643, 4031, 5052, 5074, 2600, 7450, 4012, 2477, 8950, 6818, 8926, 2572, 8446, 2485, 7428, 5731, 1137, 8713, 6140, 8108, 3712, 33, 3554, 2370, 2064, 4956, 4461, 7534, 4293, 7962, 3918, 5729, 979, 3001, 955, 2570, 448, 4617, 1493, 7083, 5071, 260, 9650, 5601, 2007, 1903, 7874, 2028, 3648, 5807, 2369, 2562, 6743, 8155, 2209, 4632, 5981, 6593, 815, 8492, 5882, 2351, 7685, 4610, 6813, 5012, 3950, 8937, 8307, 2422, 6313, 2567, 6905, 9319, 8698, 3559, 436, 946, 3708, 1945, 2820, 7511, 1028, 1306, 1686, 5009, 4808, 6142, 2668, 8831, 7923, 7570, 3806, 1856, 5342, 8122, 563, 4894, 3842, 2944, 8258, 8746, 649, 1271, 3372, 8313, 8732, 1958, 6927, 4791, 1483, 2892, 3631, 8607, 5971, 5412, 4089, 8177, 14, 4937, 8003, 8734, 2947, 6976, 4931, 9836, 7921, 662, 5502, 2432, 6857, 6712, 3188, 4964, 5477, 6327, 3141, 1819, 4468, 3338, 6968, 5968, 3591, 7113, 2825, 1242, 4759, 6715, 2004, 9574, 3970, 6437, 8373, 7115, 4460, 2889, 1600, 7959, 1576, 3616, 1280, 5455, 6988, 5827, 5617, 2059, 4085, 6794, 9927, 7516, 9229, 4375, 8241, 3362, 8405, 8270, 3682, 5189, 8280, 442, 6294, 6449, 3901, 5738, 2261, 113, 2840, 1443, 6851, 2959, 538, 5626, 5735, 430, 5985, 4284, 4919, 9396, 3298, 629, 3783, 1694, 9207, 6065, 3628, 2021, 745, 6173, 592, 2315, 6262, 560, 9254, 9173, 4411, 1550, 4206, 9898, 9944, 5860, 5098, 224, 2787, 1176, 6696, 5529, 7794, 7740, 3755, 6578, 1895, 5468, 498, 4123, 6045, 6552, 338, 2249, 6835, 297, 9398, 1014, 1457, 5975, 7462, 8464, 6687, 4136, 3703, 1698, 2815, 7774, 5371, 574, 7571, 4633, 2161, 2189, 965, 4061, 2520, 6458, 1737, 1996, 862, 4276, 4372, 3762, 9149, 4028, 5857, 8677, 9206, 6186, 4918, 2799, 6115, 1208, 3245, 9410, 3910, 5209, 5940, 276, 1249, 4865, 4535, 1369, 6247, 1034, 3238, 5312, 5970, 3577, 4414, 1504, 8587, 2915, 2560, 6637, 6720, 356, 5773, 5555, 9840, 8920, 2325, 701, 1316, 5845, 5923, 9718, 1960, 3313, 2093, 763, 2519, 6504, 4248, 1469, 7234, 5112, 9811, 3847, 849, 5421, 8676, 8394, 5351, 7936, 2208, 3033, 6340, 4984, 8486, 8017, 4018, 2034, 2833, 3517, 5530, 5732, 7575, 1487, 779, 8128, 4180, 8302, 1952, 2843, 347, 5509, 2213, 3522, 2355, 6856, 6737, 9428, 2557, 7763, 234, 9905, 7524, 7426, 7041, 5982, 3813, 137, 9130, 2163, 1371, 654, 9855, 6929, 4785, 7828, 6076, 2901, 4977, 8809, 7345, 8326, 1707, 299, 5109, 1514, 3256, 2593, 8947, 6980, 8841, 2005, 990, 5004, 6510, 7578, 4149, 7756, 5628, 5409, 8919, 36, 40, 8717, 6205, 9270, 3133, 3358, 6805, 3718, 240, 6386, 4428, 31, 2441, 1414, 7754, 6100, 6778, 6800, 978, 6816, 6032, 3839, 1664, 7556, 5428, 153, 3889, 9687, 2350, 2538, 3118, 4084, 6721, 9321, 1613, 8589, 2070, 4881, 3153, 2629, 8098, 3731, 1076, 9345, 6959, 7990, 4115, 1195, 9792, 7837, 70, 5462, 5759, 2982, 2592, 1766, 5291, 7830, 9212, 9884, 3000, 4390, 751, 9470, 6481, 74, 2424, 7746, 4137, 7473, 6087, 7734, 5604, 134, 4358, 6307, 2888, 6353, 4763, 6261, 6531, 8999, 7190, 8037, 2802, 8908, 7648, 7299, 5704, 947, 2039, 4264, 3297, 8570, 79, 8914, 9670, 4466, 4745, 762, 6106, 7178, 3321, 9747, 2967, 8651, 9752, 9570, 3239, 9342, 311, 3960, 7453, 114, 8724, 5467, 2492, 7704, 4495, 8859, 447, 3395, 2606, 1788, 6345, 579, 9043, 5709, 4217, 8165, 1471, 5220, 5472, 6990, 4519, 8103, 1106, 8077, 5362, 5232, 2469, 3042, 7042, 6999, 1740, 9616, 7354, 575, 6798, 8816, 7495, 5764, 9446, 4229, 8181, 5486, 9614, 343, 3075, 3934, 7071, 4792, 8111, 5570, 301, 2306, 9255, 455, 5260, 4954, 6706, 242, 5097, 3010, 9391, 9964, 2864, 3546, 1168, 4370, 7166, 47, 2145, 9657, 5723, 7887, 6038, 5184, 7381, 7839, 1016, 9907, 387, 2969, 5685, 7460, 6165, 4626, 7938, 5789, 691, 4613, 1521, 4481, 6936, 3899, 6191, 693, 3336, 3276, 2846, 1559, 5179, 7944, 5382, 4453, 3353, 3271, 210, 2420, 1079, 6986, 2880, 9684, 3865, 9421, 7109, 13, 6210, 1107, 4614, 539, 1811, 735, 6457, 2856, 7666, 6240, 65, 1870, 7387, 8287, 7248, 2848, 6558, 5020, 7323, 8438, 7743, 2732, 6823, 7058, 9251, 4850, 7884, 9024, 2199, 5841, 1294, 6875, 6017, 4127, 1609, 3379, 9101, 2582, 6390, 1207, 5833, 605, 7064, 5174, 7245, 1728, 1410, 9526, 6334, 7553, 1451, 9531, 4011, 714, 6883, 5558, 2280, 8201, 5651, 1236, 5025, 7957, 6958, 6095, 9965, 5193, 6042, 1301, 16, 2242, 6903, 4553, 3812, 3199, 2231, 9707, 4706, 1498, 5250, 853, 2637, 4099, 414, 6872, 6224, 5424, 3630, 9819, 7805, 306, 3595, 5263, 4636, 1243, 4360, 8538, 3105, 4796, 59, 4793, 4146, 3972, 1929, 4455, 7, 3422, 7195, 1134, 856, 9219, 5417, 4762, 2941, 1222, 4308, 1232, 3879, 318, 3397, 5283, 6505, 7329, 5290, 5561, 2578, 4350, 6659, 872, 4695, 9300, 3091, 7486, 6647, 9599, 3931, 5090, 1817, 4993, 4392, 6600, 2703, 8753, 2133, 6912, 2434, 7502, 4424, 6790, 170, 3225, 6222, 9691, 3704, 6783, 2968, 7651, 4396, 9074, 8910, 5770, 2196, 1394, 3305, 2847, 1910, 9851, 8057, 9315, 8576, 5066, 9817, 7857, 5000, 3845, 5261, 2783, 1425, 8984, 5244, 6436, 233, 806, 4516, 5338, 4125, 1020, 5623, 133, 3290, 1100, 6096, 5707, 4625, 841, 5598, 9762, 1758, 5015, 819, 5198, 7157, 3928, 335, 9885, 3069, 5959, 2027, 2669, 9697, 9064, 2548, 5241, 9846, 9292, 1515, 1777, 4622, 2401, 8208, 2887, 6333, 1191, 1496, 1538, 5503, 7554, 421, 2733, 8159, 8733, 8529, 5395, 1351, 2949, 3429, 8022, 6291, 1447, 6955, 964, 8605, 9603, 1049, 1091, 8306, 8142, 8769, 4729, 7385, 3461, 4543, 4499, 928, 3036, 4044, 5131, 2354, 3996, 5401, 7288, 3581, 3425, 1181, 8467, 2025, 9842, 5614, 5583, 7249, 4287, 1161, 2257, 5150, 3997, 5413, 473, 4306, 3267, 1033, 5835, 9349, 9453, 1629, 6328, 3054, 6550, 5692, 5369, 2110, 5110, 2953, 6740, 9571, 3099, 2558, 7811, 1589, 6227, 184, 5683, 4837, 8157, 2366, 2645, 209, 7566, 9551, 192, 8249, 4213, 791, 7627, 5955, 3606, 6609, 5898, 4595, 4278, 271, 7270, 3186, 5350, 1904, 9880, 5904, 6443, 2566, 2206, 7203, 102, 7782, 5044, 5727, 9469, 9331, 5398, 6982, 8523, 4971, 8374, 7925, 9617, 2272, 1794, 6167, 620, 9786, 1774, 9656, 2129, 6709, 8611, 7869, 4131, 384, 9472, 7105, 1180, 4021, 4486, 8266, 2614, 7101, 3037, 2055, 3498, 1546, 5983, 7341, 3097, 4795, 957, 3888, 7707, 2318, 307, 4997, 8897, 6808, 4562, 4351, 6138, 5011, 44, 532, 1307, 8197, 4398, 4998, 6350, 8912, 6468, 5925, 1963, 5824, 7319, 2207, 2178, 749, 5203, 1634, 5996, 5895, 5618, 7510, 7854, 2987, 1415, 4942, 8180, 1874, 6185, 3846, 3441, 7767, 9509, 7653, 967, 1988, 2774, 3706, 4225, 1406, 8171, 3479, 4914, 8891, 7741, 7765, 4321, 6363, 7560, 4469, 5930, 5715, 863, 8325, 9179, 7246, 8652, 9089, 6430, 5673, 9178, 5809, 9424, 1555, 5817, 8288, 2211, 8687, 5325, 6587, 6270, 1615, 9730, 710, 9404, 6192, 3922, 5173, 3088, 8864, 7979, 7449, 9597, 8275, 8085, 3273, 6272, 3532, 2, 3484, 552, 6122, 1246, 8983, 4824, 6708, 3592, 1641, 4003, 6604, 3137, 5849, 2713, 8661, 9433, 1835, 4800, 9721, 2454, 2180, 2304, 7551, 2123, 25, 4544, 7525, 9215, 2938, 1348, 1251, 2478, 2517, 5953, 2352, 9770, 1601, 7744, 4181, 3421, 6748, 7060, 4693, 8261, 5924, 5002, 8495, 2759, 8161, 1582, 1545, 543, 469, 8646, 7302, 5820, 3717, 5265, 3609, 8133, 7327, 2085, 5116, 7057, 9407, 60, 7168, 542, 2561, 206, 1785, 907, 803, 8265, 6806, 3458, 6661, 2482, 8722, 2750, 7148, 54, 8091, 7117, 1340, 2050, 8510, 1596, 1772, 8642, 3608, 9081, 2923, 2984, 1843, 5728, 4226, 4517, 1453, 2457, 7398, 7127, 6249, 4386, 5661, 8848, 7285, 6290, 3754, 7555, 3929, 8951, 6006, 3318, 2137, 5469, 4687, 2142, 9560, 3555, 154, 5318, 1606, 9535, 6801, 9363, 9105, 8704, 9156, 1948, 9830, 5170, 3269, 8749, 1532, 6852, 9628, 6446, 8006, 6187, 4843, 9187, 2450, 697, 141, 4550, 6378, 9660, 9970, 2200, 1297, 7130, 7194, 9373, 1039, 1247, 4413, 2641, 2980, 2467, 5339, 4405, 8689, 2012, 8880, 8991, 123, 9706, 521, 9343, 5814, 6406, 1781, 8320, 1390, 8252, 4534, 6225, 6603, 4599, 4013, 731, 3481, 1883, 1489, 1166, 3689, 64, 5286, 877, 2378, 2338, 5767, 7067, 5310, 8143, 9461, 4861, 1002, 9489, 1810, 6548, 9312, 8478, 3602, 5378, 665, 6413, 1337, 578, 5055, 859, 4743, 8884, 3294, 1441, 7321, 4877, 3998, 7339, 5844, 5430, 5642, 2363, 9405, 3240, 8878, 4774, 4019, 5177, 9494, 9266, 331, 3373, 9871, 8419, 1485, 1480, 7808, 1771, 534, 663, 3003, 7680, 9555, 4654, 6761, 5957, 6107, 3713, 1186, 3343, 4029, 7377, 8923, 7784, 9522, 7059, 5225, 7314, 6132, 7275, 5053, 2671, 4000, 958, 8071, 456, 7629, 9498, 9604, 8975, 7540, 2219, 7608, 6316, 2193, 6664, 9411, 32, 6267, 9224, 9205, 7298, 3093, 7700, 1148, 7099, 3050, 249, 1155, 896, 718, 3989, 6144, 9499, 4911, 1689, 6422, 7192, 3963, 1724, 7930, 2652, 9323, 7760, 3734, 2049, 4144, 8472, 8743, 1377, 5498, 2836, 9434, 792, 2073, 4513, 9826, 9567, 7542, 5550, 9232, 1257, 4403, 3241, 1276, 8383, 4440, 599, 8036, 8716, 3175, 5201, 8752, 9193, 9022, 2153, 4953, 9168, 9671, 4188, 1979, 4063, 6937, 5805, 9796, 1598, 5565, 3521, 3214, 2075, 8751, 175, 4547, 4502, 8484, 5575, 8826, 2151, 6887, 6174, 6438, 5736, 9197, 1805, 1311, 6, 7620, 4750, 6610, 5186, 5782, 9359, 1549, 8872, 1661, 3235, 7812, 7968, 5693, 5151, 3070, 5826, 9295, 3262, 2687, 8930, 1417, 3930, 7312, 4990, 906, 2874, 652, 4183, 4082, 6078, 2391, 7586, 4086, 2403, 3617, 2067, 3257, 8643, 3503, 8668, 881, 93, 8586, 9987, 6812, 6495, 7599, 1827, 9221, 1389, 3292, 5508, 2531, 201, 219, 5240, 6159, 5497, 7243, 2461, 6692, 6744, 5476, 3435, 7928, 639, 5242, 657, 8054, 9021, 7112, 4448, 2068, 9432, 6711, 2460, 1654, 8330, 1302, 1632, 6435, 556, 3759, 7232, 478, 7216, 4753, 9377, 9634, 9727, 7338, 638, 9844, 3161, 7992, 2109, 832, 3120, 5671, 854, 1978, 5124, 3424, 2554, 135, 3583, 5730, 8797, 2387, 4100, 3293, 3332, 9843, 7240, 2922, 8012, 495, 984, 1102, 2216, 1320, 426, 7920, 6128, 6399, 3662, 8822, 634, 2693, 834, 9932, 9476, 4016, 5169, 5287, 2383, 2816, 2919, 3729, 7475, 7487, 1304, 9182, 3790, 1309, 2495, 1717, 400, 4369, 4728, 4538, 183, 8083, 3985, 9831, 4416, 9103, 3733, 3586, 2305, 6402, 9644, 3652, 5233, 782, 9702, 5330, 408, 461, 2001, 5114, 5411, 1488, 7464, 796, 833, 1602, 8487, 845, 76, 9316, 3408, 6343, 8742, 6911, 3026, 7607, 3861, 4888, 5075, 2063, 5050, 9065, 8327, 2898, 5552, 7833, 2981 ], [ 2601, 6920, 7703, 3066, 1463, 5228, 8532, 3496, 4362, 998, 5018, 566, 3359, 9624, 1413, 2361, 3222, 3769, 5702, 3849, 2279, 7956, 4257, 9876, 4529, 7791, 9468, 6634, 925, 1339, 2035, 8765, 5787, 8148, 6219, 8073, 8803, 5978, 8931, 6539, 4432, 9332, 6633, 2141, 7750, 3809, 6684, 2339, 9979, 458, 7521, 6784, 496, 1467, 372, 7713, 7695, 3314, 7722, 3697, 7009, 6431, 8600, 2546, 5475, 395, 9364, 8449, 9046, 1333, 7322, 9632, 9082, 3285, 368, 5149, 2449, 324, 2459, 8222, 5562, 8, 8312, 5171, 5856, 5897, 3301, 2322, 4126, 211, 7028, 8352, 6543, 613, 9872, 3251, 6077, 3191, 7567, 2751, 2136, 4210, 5070, 1803, 6954, 5127, 7174, 2166, 9647, 6401, 2132, 2748, 7980, 6152, 6215, 1037, 8976, 9458, 4449, 8300, 6318, 9780, 3776, 4198, 1142, 116, 2704, 4409, 2234, 7493, 2739, 2195, 6019, 4949, 7144, 1637, 3411, 3014, 7182, 8021, 3204, 6581, 6766, 6569, 524, 2247, 8512, 8260, 5700, 650, 8808, 5743, 3227, 8147, 8874, 5423, 5726, 7074, 7179, 8695, 5217, 7003, 9125, 535, 4263, 464, 2319, 481, 8377, 8242, 3837, 7832, 2569, 9114, 8219, 322, 2883, 158, 5995, 804, 8028, 2544, 4490, 7624, 6625, 8466, 7792, 851, 8645, 5215, 6025, 9723, 646, 4851, 3843, 9041, 1719, 8418, 8163, 4383, 8759, 3917, 5122, 3635, 6158, 6004, 4656, 5341, 915, 3775, 9264, 9651, 29, 2111, 5834, 7634, 6121, 2869, 2344, 716, 4646, 3924, 4612, 5872, 9240, 2186, 4496, 3211, 4856, 8129, 6908, 4393, 7807, 7279, 7818, 386, 1962, 5896, 7662, 4983, 5332, 4681, 8033, 146, 1761, 163, 7393, 9986, 3289, 9897, 9117, 3907, 3811, 2726, 3958, 6371, 7829, 2438, 2634, 2423, 5479, 1385, 6211, 7062, 2071, 4025, 1779, 5108, 6717, 5384, 3720, 5444, 810, 8547, 9813, 911, 63, 8172, 2343, 6773, 4818, 9306, 5205, 4959, 1964, 8855, 5853, 4169, 7845, 9370, 2246, 5295, 4170, 6151, 3104, 6819, 531, 920, 8818, 9426, 1888, 7712, 4357, 6538, 8390, 7626, 9353, 5084, 7116, 3258, 2852, 7715, 5272, 1714, 5621, 2715, 7950, 6601, 2443, 3399, 191, 266, 3772, 5878, 9418, 5267, 9803, 9116, 6693, 4262, 5507, 1332, 4104, 1299, 6181, 5054, 6126, 8114, 7673, 2389, 8063, 893, 8902, 6283, 1400, 6244, 2292, 6075, 1179, 2221, 4094, 9864, 3771, 2245, 4916, 9732, 2659, 3798, 4670, 3914, 235, 3954, 5163, 2289, 588, 7220, 4258, 679, 1211, 6880, 3700, 4943, 2228, 3550, 9875, 4026, 6255, 1139, 1464, 6822, 2226, 3229, 3378, 9059, 4208, 2685, 4580, 2190, 3655, 1749, 443, 9084, 8088, 2928, 3047, 898, 5278, 9290, 550, 9564, 7875, 5214, 708, 3453, 1928, 4291, 6229, 2550, 3150, 1115, 3016, 4076, 3919, 6935, 2842, 9080, 2368, 6183, 9939, 5014, 1899, 7935, 7561, 8216, 814, 4875, 2489, 6427, 2954, 130, 6007, 4240, 246, 640, 4381, 9313, 8615, 8768, 2094, 7422, 5403, 570, 5400, 6204, 3953, 472, 5492, 7814, 9666, 3752, 2395, 8544, 5781, 988, 9100, 8117, 9170, 9464, 7295, 8135, 1767, 4710, 1328, 2156, 8966, 9506, 9681, 9203, 9951, 7172, 8969, 5778, 7107, 4748, 6387, 9540, 7271, 818, 2896, 2308, 8295, 8411, 9759, 2014, 3549, 349, 5788, 9237, 4590, 7847, 4373, 5610, 3665, 7054, 2958, 4811, 8127, 9908, 439, 1823, 3319, 96, 1437, 4380, 2690, 688, 9308, 2295, 1639, 6212, 7373, 2662, 3725, 5806, 289, 5057, 8536, 1046, 2511, 5234, 9133, 6642, 623, 3962, 8146, 9473, 7541, 602, 7485, 2060, 6571, 4923, 9988, 9956, 2326, 2622, 1494, 3039, 8660, 6909, 3973, 6236, 1171, 1502, 58, 5229, 6450, 3912, 8042, 6804, 8744, 1315, 6101, 4338, 2769, 1061, 5799, 4901, 2167, 8992, 8563, 8534, 8820, 7170, 1851, 4734, 3057, 1293, 9128, 2106, 3357, 694, 6411, 9576, 2899, 7477, 6201, 6131, 1858, 1446, 7787, 9924, 9892, 67, 4384, 4163, 4093, 6862, 8090, 5705, 8005, 4302, 641, 4853, 2092, 7976, 6482, 6344, 8126, 8787, 275, 1130, 6907, 4077, 5319, 8254, 5432, 2772, 6613, 3629, 512, 9926, 918, 5929, 7406, 6885, 283, 4071, 1342, 6351, 7049, 8357, 8421, 6865, 8311, 9162, 9777, 6259, 8925, 927, 7483, 4867, 4586, 3044, 7209, 8035, 5322, 7862, 4228, 9171, 6713, 9929, 2829, 5900, 9263, 1291, 8384, 6485, 6395, 6461, 7583, 3381, 1252, 6113, 3221, 1649, 1292, 2010, 7427, 9838, 1381, 6415, 3794, 1397, 8548, 6447, 4864, 6382, 3355, 1097, 9256, 5720, 7494, 3473, 3573, 7136, 9011, 9344, 2349, 9097, 9414, 4602, 5248, 7084, 6843, 4435, 2857, 8616, 8435, 1, 5416, 9779, 1957, 3531, 4177, 2128, 4637, 1575, 6193, 795, 7592, 4052, 3130, 8650, 7991, 173, 9561, 1325, 9859, 6214, 4621, 7856, 7840, 3478, 1674, 8551, 5410, 7918, 4249, 545, 6860, 5701, 7318, 9734, 3529, 7686, 3793, 296, 8827, 8264, 9047, 9900, 9278, 2077, 3841, 1636, 7718, 7546, 6156, 5051, 4162, 9112, 7545, 2382, 2365, 6177, 3202, 1880, 2649, 1281, 3646, 2501, 969, 8267, 1994, 4410, 2042, 890, 2617, 2575, 5212, 3512, 3148, 1841, 4201, 1984, 778, 5130, 1611, 3686, 257, 1259, 8702, 9454, 4673, 3326, 1574, 1893, 1844, 6956, 8007, 7380, 9578, 2336, 995, 8358, 9781, 4961, 5722, 486, 7257, 125, 8092, 5931, 7771, 5850, 3804, 3850, 8837, 2862, 7773, 8669, 1974, 6830, 9032, 2991, 7753, 3492, 483, 7286, 8298, 9930, 4995, 7974, 3714, 7186, 17, 3282, 4283, 2285, 5348, 7677, 3537, 8771, 3518, 9355, 3432, 4697, 6591, 4103, 4569, 3317, 2023, 6293, 6595, 2636, 2301, 5863, 7476, 2664, 226, 4209, 1972, 9993, 1069, 4712, 9860, 8973, 2436, 6147, 1731, 26, 35, 3087, 2367, 2009, 1456, 4120, 4203, 9004, 4235, 9358, 8020, 4716, 462, 3440, 8256, 1273, 2052, 4470, 3757, 5094, 2591, 5380, 7888, 1326, 292, 839, 5105, 973, 6278, 1136, 8061, 2895, 2277, 6919, 5040, 9309, 6324, 6760, 3061, 9274, 2134, 3920, 8479, 6592, 56, 310, 7958, 6470, 1216, 4708, 8665, 9804, 2493, 5238, 7355, 2595, 9190, 9835, 4487, 9623, 6143, 9852, 2171, 7128, 2300, 9406, 7953, 9333, 2752, 4385, 1663, 3515, 8850, 9118, 3296, 9282, 7779, 724, 5481, 2102, 3523, 273, 6802, 3339, 9360, 1548, 4989, 6376, 7891, 2239, 9337, 9447, 4862, 5218, 2524, 3864, 3898, 8107, 740, 5967, 6119, 3197, 8988, 3940, 9055, 737, 9672, 1544, 5680, 7140, 2679, 8370, 5146, 7618, 9102, 1312, 7776, 9633, 9753, 8640, 5881, 2321, 19, 1732, 1884, 6676, 3805, 4171, 2000, 2507, 1225, 8978, 934, 425, 3885, 784, 8801, 7138, 6384, 3925, 1174, 557, 3506, 7133, 8618, 4233, 4047, 3657, 6169, 2716, 6869, 8064, 7150, 6475, 9913, 9497, 6943, 790, 6701, 3737, 8571, 3654, 9998, 6326, 2756, 8971, 197, 6380, 350, 5883, 2069, 7983, 1804, 9366, 2677, 7272, 6984, 9652, 8069, 7720, 6694, 4193, 5696, 2646, 4884, 2776, 6560, 9547, 7088, 9329, 4070, 8896, 754, 8727, 7649, 7710, 3143, 9455, 962, 3377, 9754, 2038, 7379, 4618, 3951, 1985, 361, 7357, 2757, 5419, 9686, 1295, 8423, 5306, 8321, 4682, 5725, 4790, 9467, 3125, 3906, 4212, 2539, 1934, 7967, 3454, 5343, 5326, 4261, 7602, 9824, 6022, 766, 4817, 77, 7414, 62, 715, 8089, 9566, 4157, 8505, 9066, 6405, 1224, 2797, 1248, 4332, 5644, 8504, 8847, 6026, 800, 2430, 1238, 1173, 8592, 4891, 1918, 6061, 8198, 3886, 7231, 6899, 7731, 4597, 7032, 1452, 5965, 1955, 7081, 9713, 1652, 157, 8076, 9550, 3138, 9867, 4195, 9990, 1523, 8220, 2431, 7942, 8527, 5517, 229, 9245, 1212, 8314, 8578, 1422, 993, 7316, 4730, 4978, 6421, 7077, 9955, 4330, 2911, 614, 1683, 5195, 7515, 8167, 1647, 6043, 5831, 684, 374, 1282, 1272, 8389, 3244, 8757, 4497, 774, 3340, 2112, 1644, 9448, 3164, 1635, 1975, 5446, 9848, 786, 7001, 2088, 7202, 128, 678, 8309, 6127, 1382, 8040, 9877, 4156, 5905, 3300, 4454, 1516, 7266, 8986, 3525, 6627, 6573, 1411, 300, 9180, 4421, 8626, 7960, 6513, 3167, 282, 565, 7955, 7636, 2635, 3678, 406, 4857, 8049, 9731, 1936, 3715, 6540, 1072, 5742, 3136, 7768, 4859, 875, 370, 9317, 2357, 3977, 8729, 491, 1894, 5568, 316, 9714, 8068, 389, 9676, 5751, 6516, 8400, 8299, 7894, 3653, 9525, 3838, 4874, 8027, 3835, 8230, 3791, 2415, 9511, 1537, 6441, 5790, 5208, 6133, 8456, 4846, 9854, 5609, 264, 1592, 8480, 2446, 7661, 1813, 6112, 7716, 6564, 5655, 1064, 6445, 7313, 337, 2851, 5724, 9572, 651, 787, 3504, 4335, 6216, 9144, 4941, 807, 2033, 4537, 1082, 817, 7451, 46, 767, 9879, 2624, 601, 9164, 8772, 5255, 3220, 6786, 989, 4692, 4766, 9915, 5607, 1763, 8560, 9354, 8121, 7601, 7564, 6622, 6670, 6171, 822, 2902, 7467, 5753, 2512, 888, 8279, 7790, 6718, 9010, 3890, 5418, 8067, 2523, 9744, 3031, 3437, 8047, 5915, 9739, 5597, 1825, 8444, 720, 9982, 5451, 8866, 6369, 7205, 6034, 7842, 1822, 4585, 1959, 936, 7826, 4702, 3385, 5624, 6237, 2630, 4408, 5891, 3896, 9057, 4713, 7501, 2091, 9388, 2333, 9735, 6014, 7402, 75, 3329, 4593, 2620, 2962, 407, 9289, 4665, 8164, 4752, 7408, 1659, 1012, 5636, 6030, 8212, 6070, 332, 3728, 182, 3690, 3814, 5046, 8289, 81, 6690, 8186, 8779, 4199, 8120, 9431, 9496, 9699, 6060, 5354, 5667, 1054, 1073, 8678, 8060, 3603, 4742, 1657, 3597, 6868, 8074, 6493, 8190, 9318, 5533, 6310, 3008, 2286, 3490, 5448, 7780, 453, 1484, 2533, 8595, 4096, 1620, 9334, 4437, 6772, 3076, 6995, 983, 5259, 8941, 6275, 4214, 3795, 6528, 7675, 6234, 864, 9626, 7948, 4784, 1344, 6891, 8539, 5991, 9935, 7657, 5118, 8319, 3351, 2259, 1285, 2872, 7803, 2766, 9520, 4365, 9763, 5876, 5612, 5135, 3667, 6992, 9281, 8579, 6074, 4334, 7036, 5296, 1578, 7737, 7363, 9299, 1010, 8153, 2297, 5064, 8246, 6372, 1094, 6662, 9014, 7348, 1194, 6944, 6596, 4946, 7721, 7694, 8277, 6342, 8591, 6426, 1921, 9658, 4478, 1968, 3158, 1122, 2894, 3862, 5191, 8380, 1687, 4130, 4582, 4059, 4634, 3149, 446, 8680, 5783, 9069, 8903, 6836, 4299, 4444, 7433, 4142, 8115, 2396, 8500, 1937, 4955, 1027, 667, 5828, 9267, 9035, 1806, 2236, 8641, 4871, 7683, 1989, 4219, 3636, 4036, 2411, 4, 320, 3691, 2455, 3981, 6366, 2376, 1477, 568, 932, 6881, 9096, 836, 5133, 5076, 9600, 4726, 5611, 7479, 3347, 5148, 3089, 278, 2220, 1395, 8738, 5910, 3034, 581, 1568, 9288, 1403, 8813, 2105, 9976, 4480, 5938, 2364, 91, 5482, 1387, 6557, 3064, 8664, 1416, 1071, 5275, 8359, 2266, 119, 6506, 9530, 1552, 6501, 5277, 7343, 5159, 3732, 8437, 4382, 1085, 3169, 3205, 6046, 2465, 9584, 6584, 9760, 8433, 5253, 216, 6658, 8860, 1890, 5914, 4992, 9347, 6512, 6358, 1095, 3851, 7705, 9054, 1116, 7276, 1524, 1017, 3562, 4781, 5258, 6582, 3971, 4215, 5973, 3252, 6496, 2251, 9417, 434, 4153, 8783, 8671, 6652, 9338, 7020, 7438, 655, 6304, 7469, 6302, 2120, 6242, 1461, 6288, 5279, 5427, 5288, 1932, 3816, 9430, 631, 8465, 1695, 6678, 4296, 9904, 2749, 9124, 4192, 7189, 3833, 6110, 1266, 2227, 1699, 4075, 9949, 1712, 2660, 9680, 3738, 8253, 8781, 8420, 9325, 8503, 7268, 4922, 3413, 4374, 6703, 1876, 4655, 1374, 3224, 3649, 6665, 4391, 7223, 1131, 3745, 8469, 2480, 6614, 4300, 9802, 6648, 9590, 9528, 4804, 3384, 1885, 3709, 1551, 6530, 3514, 4143, 1792, 7665, 8406, 6509, 7436, 8620, 232, 7154, 397, 3746, 3543, 110, 6452, 2235, 3415, 6890, 2998, 4027, 2655, 7421, 1355, 7919, 5634, 750, 4175, 5697, 9403, 8318, 4957, 6197, 1261, 7496, 6483, 9444, 2765, 5437, 1776, 8056, 2182, 7725, 9720, 1631, 6537, 6442, 6697, 4674, 6641, 8100, 8985, 6683, 57, 5557, 6194, 9077, 4909, 5937, 3584, 4160, 713, 5869, 7647, 5045, 4647, 597, 8206, 38, 788, 7613, 7759, 8496, 3012, 8699, 1676, 2276, 241, 9137, 7359, 2854, 9946, 8041, 7663, 5372, 1917, 9610, 625, 5473, 7466, 7046, 3185, 5037, 726, 8366, 9816, 5426, 3477, 2588, 5129, 5531, 942, 164, 7793, 7403, 1004, 1800, 1842, 5945, 2397, 5602, 9479, 6245, 167, 8712, 4322, 4733, 9443, 5187, 9234, 2402, 2217, 7070, 9152, 9439, 8502, 8948, 7098, 4121, 2320, 1908, 1990, 4307, 427, 1111, 1363, 420, 8045, 1791, 717, 2610, 41, 1557, 1157, 4945, 9594, 121, 549, 2139, 8546, 4925, 3913, 1128, 103, 3299, 941, 388, 2237, 8824, 6407, 9839, 6568, 4280, 2719, 9272, 777, 3796, 1265, 5141, 187, 7096, 4078, 1651, 8843, 2392, 7901, 6969, 9209, 6018, 5936, 6471, 661, 444, 451, 6666, 9573, 8556, 2654, 403, 4388, 5906, 1680, 4342, 1199, 445, 5678, 7076, 3855, 2577, 4050, 1543, 2796, 2278, 5085, 2678, 1353, 3860, 9980, 2642, 471, 9784, 5927, 1897, 4488, 1256, 7748, 8231, 6945, 364, 3687, 5199, 3434, 1268, 2930, 9393, 3166, 7643, 1239, 8152, 2393, 107, 9143, 4015, 7872, 2688, 8767, 8051, 4860, 4757, 9966, 333, 9379, 9253, 3882, 9486, 6757, 9150, 3560, 2912, 5934, 8137, 1816, 1219, 6001, 1018, 9012, 3216, 5521, 9544, 2018, 4305, 6727, 9420, 1696, 963, 7025, 9166, 3160, 1752, 6084, 4368, 8481, 3119, 6052, 4975, 7031, 5210, 8673, 4944, 2269, 2358, 6763, 3365, 891, 7569, 3196, 1528, 288, 6189, 6417, 3217, 6286, 3389, 3194, 4906, 3350, 8072, 6137, 144, 1583, 3969, 7443, 8209, 3641, 6902, 6873, 9961, 8596, 6069, 6704, 4801, 2170, 9954, 480, 2298, 7821, 9849, 124, 3801, 3354, 5266, 8810, 4578, 7164, 9056 ], [ 8583, 3247, 5441, 551, 5175, 2099, 7315, 8946, 5445, 8766, 2118, 4005, 4331, 4498, 6952, 4667, 8741, 1826, 757, 3201, 9728, 3869, 4345, 2875, 3483, 8840, 8234, 2782, 2706, 1144, 675, 9903, 2095, 7528, 4913, 1727, 156, 5912, 1923, 2194, 8285, 9992, 3579, 6336, 6635, 8191, 5560, 8099, 4845, 2224, 7034, 5262, 1305, 7191, 2437, 4476, 1753, 1455, 4073, 3051, 4001, 8213, 5223, 2586, 7908, 2985, 366, 2876, 9147, 2663, 6082, 3605, 922, 1590, 2065, 373, 5376, 6523, 5516, 8957, 972, 7727, 7324, 4616, 4558, 6297, 4672, 7598, 9466, 7419, 3874, 7676, 1742, 1412, 309, 7413, 8391, 9050, 6619, 1780, 4204, 4389, 6456, 6847, 6054, 8397, 4744, 4054, 5452, 9503, 7631, 9457, 562, 1241, 3975, 3366, 7184, 4848, 6246, 3688, 6104, 4717, 9815, 6854, 6090, 7604, 7834, 7777, 5640, 1474, 1789, 8520, 394, 769, 1747, 8363, 7235, 2054, 1329, 7405, 474, 8922, 3272, 689, 9471, 8263, 5510, 4769, 3059, 9475, 2256, 8250, 4503, 8693, 5755, 6256, 6073, 8132, 986, 9962, 3307, 3711, 3074, 6160, 3457, 9185, 9513, 7304, 3398, 8800, 9075, 6125, 938, 7400, 3368, 5388, 3818, 3193, 1440, 547, 3785, 7132, 6646, 9284, 7265, 9477, 3145, 325, 6105, 8585, 3170, 213, 9538, 1584, 1398, 3451, 6962, 5092, 8894, 3328, 8694, 2988, 428, 9357, 4908, 5500, 5328, 2722, 8823, 8432, 4105, 6024, 7529, 3331, 743, 4092, 5810, 1513, 2410, 4635, 3499, 5745, 5144, 1997, 149, 6686, 8670, 1221, 645, 4412, 6092, 5758, 6329, 4591, 7435, 9126, 8714, 1927, 4564, 7844, 1025, 3127, 7289, 3420, 9385, 3637, 2943, 2283, 7646, 2527, 9481, 4508, 2241, 622, 6707, 4270, 666, 1127, 4266, 8686, 4565, 1375, 8761, 8690, 2817, 4323, 3664, 6922, 7799, 5840, 3462, 6644, 1906, 3904, 5918, 4575, 8703, 6840, 8332, 4842, 6629, 7015, 1011, 6264, 5514, 2417, 8499, 1365, 6719, 1290, 3685, 9273, 1203, 5222, 3527, 4211, 6315, 6561, 4675, 2204, 7085, 2483, 4320, 5162, 753, 1628, 5192, 2725, 5494, 2348, 3777, 8081, 2051, 7735, 5922, 6811, 6473, 8166, 1511, 4683, 1486, 9641, 585, 7356, 5359, 3382, 2081, 3908, 6525, 1209, 9967, 7917, 3476, 1881, 5058, 7614, 5281, 865, 1135, 722, 3493, 2831, 4540, 9543, 9088, 6114, 1891, 4764, 9510, 776, 5390, 5977, 4551, 5111, 6809, 3049, 4399, 1814, 5152, 6037, 773, 8225, 9297, 2528, 2861, 1121, 2404, 1210, 4288, 8185, 5120, 7904, 4640, 723, 5622, 6926, 4224, 6086, 3552, 2705, 3442, 6145, 6013, 8777, 8613, 1703, 683, 4507, 2198, 6354, 3819, 3083, 9868, 8658, 4241, 1795, 5677, 2066, 9692, 1561, 4981, 6460, 4973, 1855, 823, 5389, 9141, 6332, 2500, 7951, 8565, 7287, 844, 3974, 1718, 4778, 6170, 582, 9821, 1519, 5913, 5461, 9909, 6284, 2486, 1419, 8058, 8095, 2583, 4653, 8251, 9776, 2650, 1912, 4724, 4847, 1124, 2164, 4333, 8634, 8568, 968, 223, 3540, 6218, 8497, 6549, 5721, 2633, 6374, 1473, 1756, 259, 5405, 6938, 3510, 7337, 8217, 8470, 3147, 9148, 5365, 6893, 785, 7284, 3124, 606, 7878, 9241, 294, 6771, 6749, 5994, 8116, 4231, 1356, 1145, 736, 2890, 1029, 2935, 2334, 424, 1658, 2821, 6444, 6364, 2532, 4797, 1149, 8422, 1245, 9581, 7523, 4823, 3419, 9042, 4068, 4185, 8657, 5017, 6208, 9298, 569, 9048, 4140, 6918, 8541, 5216, 2975, 8540, 4892, 1798, 8622, 1038, 1730, 8188, 8557, 4447, 3412, 5231, 8839, 6871, 6759, 2337, 7012, 7026, 7252, 6299, 4910, 9947, 250, 1640, 5672, 3176, 8635, 7200, 3723, 2839, 3681, 5431, 6521, 1323, 4098, 742, 6611, 9637, 126, 9442, 1138, 5504, 6964, 4007, 6465, 1969, 7954, 5449, 8533, 1706, 2379, 9346, 8440, 1595, 9764, 8002, 9914, 8963, 2273, 3698, 2956, 7536, 9111, 9002, 7274, 3830, 7149, 2020, 9912, 6698, 4297, 3596, 1169, 9774, 8015, 7877, 3982, 1098, 505, 493, 5349, 3156, 6298, 3810, 9070, 6016, 7961, 3598, 194, 8235, 6280, 1660, 6590, 5682, 2627, 3295, 2918, 1175, 8211, 7537, 9445, 7702, 4058, 8952, 783, 5613, 4967, 9383, 9252, 6671, 5963, 4536, 7301, 5001, 1040, 4010, 7169, 6190, 7123, 3, 5593, 2741, 4088, 5337, 9619, 2676, 3349, 2399, 6810, 5670, 6834, 2866, 7043, 7069, 5103, 7640, 656, 6370, 3679, 7518, 5379, 9606, 8110, 7372, 1185, 3803, 6565, 2747, 2103, 2250, 6753, 492, 5867, 3956, 1554, 825, 2152, 4348, 3281, 5165, 8696, 6102, 7378, 933, 3547, 2590, 6770, 8672, 270, 6855, 7658, 1435, 6649, 18, 6031, 1882, 8625, 2473, 8521, 1594, 6888, 9435, 8667, 8958, 2563, 5381, 1158, 9664, 4179, 9558, 6714, 1793, 3179, 2479, 6021, 2340, 4349, 8934, 6917, 7073, 981, 7684, 1482, 3824, 4087, 2082, 9724, 7212, 9683, 9662, 5691, 2271, 326, 9369, 6410, 4825, 9408, 3067, 5903, 3445, 9534, 2932, 8346, 7239, 8096, 4462, 2672, 2979, 2310, 6360, 8150, 4069, 8315, 8169, 5689, 3883, 8964, 3676, 8232, 9169, 9275, 479, 8756, 8192, 8372, 7010, 392, 8981, 5822, 2013, 944, 6397, 4548, 732, 3780, 4912, 3028, 5801, 4777, 7242, 669, 2692, 8210, 9772, 1691, 4939, 5340, 1973, 6814, 2543, 106, 3250, 9380, 5463, 2879, 6915, 3897, 9953, 8024, 2388, 4696, 1993, 5808, 4970, 1581, 9918, 7533, 3640, 4747, 4703, 7978, 756, 873, 3009, 5547, 7086, 9975, 5784, 3288, 5158, 9028, 2940, 2867, 8457, 6765, 9491, 2670, 9037, 572, 4182, 1898, 5848, 9613, 6469, 604, 9916, 6660, 6428, 7654, 1586, 6551, 4329, 3501, 6826, 685, 8322, 900, 2462, 9078, 6645, 5917, 7689, 707, 2331, 6250, 4974, 9320, 5946, 2327, 4898, 3627, 4336, 8488, 6848, 1367, 8404, 2742, 2611, 1622, 1849, 2505, 2032, 3859, 9808, 1580, 1560, 5750, 802, 5757, 6817, 3601, 8682, 205, 2535, 9554, 610, 4132, 6134, 8588, 5048, 4739, 7463, 6741, 7152, 3854, 7867, 4397, 6863, 4304, 1981, 8259, 5909, 2314, 1801, 4600, 9575, 603, 8735, 4542, 3567, 8989, 5284, 6511, 5641, 8581, 4039, 6631, 4731, 7093, 5305, 7519, 6011, 8901, 5526, 6987, 1196, 362, 1892, 9425, 3778, 457, 8851, 4030, 4948, 5143, 7861, 698, 3610, 92, 1031, 353, 996, 3303, 966, 2162, 4117, 8168, 5919, 9577, 8524, 1132, 8284, 321, 4155, 6734, 2252, 3538, 3983, 8854, 8858, 1349, 7660, 2458, 8604, 5608, 9712, 1708, 6716, 882, 2475, 6476, 6230, 3022, 4065, 315, 450, 3677, 9246, 2412, 4034, 6970, 1110, 5042, 1198, 5629, 4295, 2818, 9942, 3426, 7260, 6623, 9361, 6039, 8956, 887, 1861, 245, 9810, 7222, 1977, 4686, 9709, 9701, 9375, 5352, 5033, 813, 4855, 1286, 7573, 8336, 84, 8154, 3671, 4788, 8723, 9593, 1518, 238, 9857, 8644, 3884, 6080, 2811, 2576, 2746, 2795, 4152, 8360, 4489, 3073, 4623, 9775, 9588, 7766, 7890, 3817, 8606, 5941, 7375, 7977, 6914, 431, 8835, 6723, 5997, 687, 5976, 4418, 3781, 9502, 9768, 8737, 2147, 4581, 4255, 3656, 6312, 9742, 4459, 4037, 5961, 1759, 3536, 2604, 9201, 1501, 5399, 5984, 7505, 7442, 1608, 8648, 4719, 923, 10, 571, 884, 2768, 2159, 2024, 8010, 6202, 8066, 5026, 595, 15, 6535, 6967, 6341, 8075, 5465, 9372, 616, 3730, 9189, 5873, 7982, 2503, 6480, 4367, 1567, 2468, 1944, 4324, 2939, 4148, 7645, 7196, 4343, 380, 6109, 8928, 1943, 6044, 83, 4253, 8403, 8898, 8624, 2553, 4737, 6220, 2062, 628, 1357, 1868, 3683, 5534, 9007, 3464, 6161, 5483, 4594, 6248, 5599, 459, 7016, 5493, 2973, 8341, 3902, 642, 2317, 8158, 7889, 8838, 6931, 5581, 761, 5874, 3594, 9271, 7142, 4434, 734, 9122, 6559, 3302, 6233, 6689, 4091, 5006, 1616, 8938, 6172, 728, 6184, 6062, 7386, 1919, 7352, 6993, 3400, 2684, 8335, 2764, 7484, 6898, 3693, 9862, 6750, 5527, 7594, 517, 8506, 4631, 1768, 540, 9920, 8888, 5739, 3053, 696, 1787, 6111, 4951, 7439, 4559, 5899, 3539, 5204, 8692, 9400, 9326, 8430, 4128, 1184, 5457, 573, 3111, 6009, 8904, 5889, 5213, 3174, 8881, 5866, 9249, 2499, 9307, 2763, 5166, 6598, 5370, 9569, 2537, 9034, 4443, 9220, 7151, 3123, 8942, 7985, 9017, 4377, 5101, 6722, 2791, 2115, 418, 7701, 9622, 5964, 8203, 6735, 1938, 9703, 2433, 5134, 513, 2559, 2481, 6033, 7004, 2022, 7761, 2341, 6985, 3660, 2522, 3391, 3115, 1015, 7446, 12, 9174, 2240, 9071, 4290, 4735, 4858, 5489, 3192, 3423, 1697, 8836, 8214, 1677, 6149, 2754, 1092, 4572, 1362, 4150, 4430, 5257, 6788, 885, 2589, 467, 7903, 9119, 8916, 5756, 6928, 3947, 8118, 3590, 2291, 3171, 236, 8229, 129, 8890, 3621, 3721, 8355, 1675, 6892, 9527, 8369, 7609, 3094, 3112, 7866, 9003, 5639, 1300, 1103, 4281, 6533, 8093, 5871, 2502, 6742, 7457, 2448, 9994, 1967, 6910, 7652, 4866, 1643, 2974, 499, 3121, 793, 7827, 9627, 7171, 5797, 4827, 6323, 523, 329, 5420, 2951, 9456, 6266, 4043, 3390, 4196, 7513, 4256, 5346, 82, 5765, 8184, 6088, 4972, 3261, 6924, 2626, 2835, 6454, 6520, 1288, 8834, 5513, 6575, 7952, 929, 3868, 8032, 468, 633, 8889, 1869, 4754, 9563, 3030, 8577, 5333, 3508, 7111, 5654, 9142, 2264, 7317, 7699, 3386, 90, 8038, 5830, 2218, 1539, 2513, 7897, 9389, 2515, 5285, 3021, 589, 9708, 670, 699, 1058, 4700, 9960, 6884, 1146, 3829, 4900, 9639, 6305, 243, 100, 5999, 23, 9529, 7539, 702, 8455, 3466, 4741, 5264, 4159, 3487, 2185, 5794, 5282, 28, 4151, 1812, 6029, 1678, 2758, 5588, 3275, 7745, 3107, 8674, 5554, 3117, 9296, 4328, 7161, 1982, 7418, 7308, 3831, 8705, 5951, 2197, 6388, 9109, 4420, 840, 5364, 340, 2686, 3774, 1420, 2212, 4768, 9045, 7374, 3578, 8123, 7949, 3151, 5795, 2957, 5460, 3516, 4567, 9181, 4557, 816, 2036, 6624, 73, 6515, 1260, 867, 5638, 3195, 8792, 9121, 1506, 7591, 6055, 7593, 4711, 7690, 227, 2838, 1352, 5270, 4236, 8317, 8683, 6150, 298, 6508, 8516, 8395, 1227, 3600, 1407, 1875, 5990, 1147, 4118, 1084, 8247, 4501, 9719, 9757, 2057, 4546, 1262, 1370, 2682, 9533, 6897, 3916, 2906, 811, 8274, 4999, 9348, 9818, 190, 1055, 3152, 5796, 363, 4298, 4114, 8590, 6434, 9031, 6178, 1566, 1836, 7697, 1512, 1433, 1478, 3482, 4417, 1041, 8202, 5459, 3548, 8990, 8310, 2960, 7943, 2442, 6518, 3875, 5666, 3761, 6385, 9797, 8399, 3023, 3821, 5928, 2990, 9888, 4688, 1850, 7850, 7134, 5247, 4400, 5408, 4273, 1254, 5603, 3213, 4966, 1063, 9387, 3991, 7283, 177, 7145, 6858, 5779, 5733, 4828, 8257, 9870, 2771, 7162, 7621, 1172, 9159, 559, 2934, 8179, 7445, 9310, 9845, 5125, 3760, 8700, 6729, 9399, 4802, 6157, 8376, 2804, 7562, 8865, 7078, 5842, 3944, 5311, 8248, 5674, 3789, 8877, 5019, 5180, 7557, 9945, 7052, 7263, 1359, 5886, 508, 7397, 1831, 5668, 222, 9985, 8617, 9883, 377, 7390, 8846, 6879, 9841, 9163, 1358, 1999, 1001, 8968, 9853, 9327, 9258, 5167, 5888, 4122, 6870, 7681, 9936, 4720, 2530, 4715, 3561, 5861, 6795, 4145, 3102, 9217, 7005, 6467, 6287, 7293, 809, 9195, 198, 2916, 8055, 1853, 117, 2472, 6807, 7237, 3623, 2638, 6118, 635, 970, 3858, 4239, 6895, 5536, 9861, 258, 1720, 7752, 7006, 1182, 8511, 2908, 5422, 8637, 5499, 3278, 1101, 52, 5104, 7489, 1702, 6555, 6616, 8954, 5734, 7907, 3949, 1112, 7492, 6498, 9386, 4886, 1618, 8048, 4611, 3140, 2445, 794, 6079, 2313, 5294, 4690, 3465, 9480, 1610, 1230, 3502, 4080, 53, 6213, 6842, 3011, 3086, 627, 6269, 3114, 747, 3651, 4439, 6123, 203, 228, 3032, 3903, 4051, 8526, 7606, 5394, 9192, 1237, 1263, 1418, 848, 2390, 9589, 4194, 5065, 9098, 9146, 7630, 9738, 515, 8160, 1503, 2609, 4504, 8097, 9076, 6553, 4691, 9710, 7089, 7975, 3612, 7082, 3183, 4394, 8594, 3468, 8728, 2019, 9135, 2803, 4269, 1177, 861, 2683, 2400, 5224, 772, 7682, 6732, 7929, 7364, 1907, 1170, 429, 2728, 686, 7723, 1751, 8566, 5335, 6973, 6176, 9587, 837, 8597, 8393, 971, 4353, 9693, 4473, 8388, 878, 5703, 8362, 4899, 7120, 7788, 2203, 1949, 7335, 5962, 8796, 6419, 2268, 3999, 880, 7416, 5069, 6251, 9236, 9741, 4545, 5660, 706, 948, 937, 8379, 6930, 2905, 1754, 86, 7947, 2121, 7027, 9248, 3344, 2394, 6762, 21, 8564, 5665, 6507, 9938, 9922, 8428, 8450, 5851, 3569, 3190, 8262, 5933, 3976, 6306, 5464, 4806, 355, 1108, 6971, 1925, 2299, 8193, 7881, 8776, 2850, 8852, 7900, 3782, 1738, 2621, 7587, 5062, 5355, 80, 6668, 1099, 5487, 1845, 2708, 7320, 8537, 4464, 6849, 9247, 4017, 3751, 4738, 5684, 6319, 9175, 8030, 5254, 4315, 4463, 9733, 8774, 9161, 6023, 7937, 1530, 3200, 8238, 3589, 9595, 7349, 2439, 5948, 1436, 3892, 7838, 6148, 8627, 4704, 6663, 7965, 1808, 2721, 2834, 9044, 9748, 2891, 5546, 5989, 178, 208, 3705, 3062, 470, 3078, 3452, 3255, 4244, 3180, 950, 61, 4844, 980, 2598, 3456, 7102, 5647, 1059, 5353, 6636, 6337, 5161, 109, 6393, 3444, 1392, 7480, 9242, 7280, 5230, 1465, 8736, 6583, 3938, 8065, 952, 2963, 7644, 8386, 500, 8868, 4819, 4566, 9474, 7153, 8804, 954, 8688, 1345, 8316, 4533, 7217, 4404, 7430, 1562, 6547, 4119, 9921, 2529, 2172, 2041, 829, 6519, 8371, 8882, 5121, 7367, 3878, 3935, 1364, 8392, 4554, 7350, 0, 2427, 3139, 3128, 9413, 7187, 1118, 3375, 8828, 9519, 7504, 2534, 7326, 5185, 7353, 3488, 6775, 7264, 5078, 4522, 252, 7230, 1234, 279, 2996, 105, 2945, 2135, 3129, 3535, 2155, 9937, 5072, 323, 3513, 9899, 6083, 5633, 3017 ], [ 8141, 5316, 7346, 4780, 3404, 4940, 199, 68, 6702, 1832, 7051, 6398, 4879, 1303, 8498, 8059, 3764, 729, 4803, 6681, 3642, 7851, 9409, 2031, 4101, 8139, 4111, 8959, 7632, 7228, 5545, 3497, 5741, 277, 1834, 842, 118, 3322, 9191, 1088, 2824, 4184, 866, 530, 1633, 4472, 5690, 6359, 8291, 1509, 7550, 3219, 3857, 1748, 6423, 1206, 5908, 1510, 6679, 9521, 3872, 3945, 3268, 1190, 7642, 5615, 8304, 9608, 1916, 6705, 1388, 7066, 6335, 7668, 4041, 1621, 3155, 132, 5440, 367, 6206, 2037, 1152, 9948, 4532, 5200, 9856, 2244, 9542, 3168, 9565, 4133, 2914, 8631, 2452, 6567, 4124, 5269, 8218, 5749, 3134, 8715, 7156, 2108, 160, 6960, 4980, 7370, 6064, 4279, 4664, 1735, 2127, 5747, 4081, 4638, 6274, 4237, 6257, 172, 9863, 8789, 2784, 3459, 6777, 4361, 1189, 1050, 5456, 8845, 1901, 1922, 4705, 1585, 1043, 6503, 9931, 2723, 5972, 870, 7097, 7572, 1023, 6825, 4340, 1721, 820, 6448, 5792, 985, 7995, 7087, 2150, 7638, 8709, 6217, 1278, 1434, 4242, 251, 4926, 244, 8944, 108, 771, 1671, 3692, 9384, 5067, 1380, 5662, 8886, 7342, 2008, 7461, 7679, 7932, 9051, 3797, 6308, 8331, 1739, 8530, 5576, 9746, 8138, 5926, 2571, 5631, 3619, 1223, 4746, 4419, 8303, 692, 7520, 5551, 4668, 5061, 4110, 9, 6394, 4415, 3335, 8176, 7213, 4452, 9834, 155, 1587, 5495, 3392, 3393, 2347, 5414, 4775, 3383, 4904, 2045, 1308, 6048, 6947, 4134, 5132, 143, 9825, 5034, 9063, 1133, 5813, 4798, 5592, 506, 2107, 8434, 262, 346, 6451, 3043, 138, 2753, 3582, 9085, 7916, 1178, 285, 2463, 4721, 5815, 4303, 7412, 9716, 6673, 6135, 5196, 9881, 5331, 8844, 7905, 3825, 7090, 4707, 1052, 7728, 630, 1330, 7678, 6608, 7499, 4662, 7931, 8949, 6522, 9668, 4062, 9279, 1215, 6913, 5986, 533, 1565, 7256, 3823, 8710, 7110, 4601, 5488, 2471, 6474, 9194, 419, 6339, 2810, 449, 3674, 1228, 7129, 4164, 4834, 8407, 1614, 3673, 8194, 4053, 3020, 313, 6588, 2160, 5775, 8013, 6738, 676, 4272, 577, 5028, 7226, 171, 8461, 6963, 1612, 2628, 5406, 9483, 9809, 4552, 5563, 2718, 5484, 1448, 3233, 5443, 9257, 2673, 7065, 6271, 4033, 5360, 1991, 3852, 1379, 2786, 9700, 7527, 6983, 5837, 758, 5567, 5396, 3414, 755, 4060, 9737, 1672, 3966, 2653, 6837, 6989, 9524, 857, 8078, 390, 908, 3702, 9330, 5572, 4889, 8970, 9092, 8448, 490, 5847, 9106, 6776, 8382, 3622, 9648, 7210, 7595, 4014, 5586, 8328, 8459, 6487, 4510, 1534, 6934, 8993, 7344, 5385, 9959, 7801, 2933, 5202, 8927, 4245, 8413, 1662, 5435, 7804, 3530, 5010, 4138, 3799, 122, 674, 1905, 3727, 2425, 7384, 2015, 6617, 8228, 4524, 7310, 7579, 4902, 1830, 3085, 3436, 6207, 695, 2599, 7927, 5039, 4605, 115, 3826, 4826, 9653, 1402, 8543, 5829, 78, 4530, 5091, 1376, 6906, 2789, 4457, 9698, 9262, 1269, 4139, 4915, 7448, 2309, 9283, 2044, 2270, 9157, 8483, 7671, 4907, 9801, 8460, 2409, 3165, 9052, 1140, 2665, 7802, 2076, 5956, 9324, 7610, 5013, 5407, 2858, 2353, 5566, 824, 4629, 6768, 4821, 6779, 7247, 5737, 66, 1423, 9501, 8046, 5943, 6389, 2157, 7225, 1347, 6296, 5885, 4872, 489, 8441, 1019, 9412, 2381, 1066, 1338, 8685, 9952, 3236, 2323, 284, 6175, 145, 5415, 4506, 7871, 9649, 2828, 385, 2801, 9090, 2709, 9268, 3658, 4006, 3270, 2855, 5711, 3132, 4042, 441, 6916, 4057, 9123, 8494, 1655, 3599, 9269, 3320, 4325, 1980, 1244, 5652, 98, 5582, 643, 3866, 7945, 949, 5569, 4083, 2406, 423, 8104, 7825, 136, 5079, 7447, 8788, 3081, 7538, 5324, 5988, 4294, 6453, 6432, 3988, 3668, 7641, 7736, 1710, 2564, 5859, 5832, 1627, 4574, 8997, 7262, 5029, 8945, 1865, 1150, 7922, 4810, 8629, 9704, 281, 1470, 1048, 3766, 4525, 2597, 488, 22, 8748, 5490, 3284, 6657, 6639, 6081, 8226, 268, 4429, 2223, 520, 1089, 9787, 2711, 5694, 9969, 4363, 1393, 2735, 9183, 401, 5137, 3520, 2965, 3448, 3108, 2909, 8402, 2006, 8558, 7764, 914, 2290, 9827, 9422, 7772, 2885, 7964, 4289, 3052, 8784, 1750, 1218, 7300, 8482, 7860, 5950, 5515, 8039, 1852, 2173, 7063, 6833, 8200, 4661, 8087, 5573, 2330, 3242, 5374, 8924, 2870, 9016, 2183, 6730, 6782, 7503, 1090, 5077, 2488, 3740, 4467, 828, 2873, 9094, 8535, 7392, 6268, 7013, 5317, 7853, 2328, 8515, 5089, 9429, 7296, 4630, 9611, 291, 9696, 3388, 1151, 3162, 6710, 2666, 1670, 9451, 4292, 3226, 8410, 4727, 2372, 2509, 6200, 3526, 6420, 4765, 1733, 6545, 4512, 2311, 1965, 2859, 3345, 9165, 5798, 5168, 9362, 3936, 1007, 3571, 3611, 7859, 9894, 2779, 618, 8900, 1688, 4960, 3253, 7011, 8819, 1047, 3696, 5740, 5292, 8000, 6154, 780, 1201, 583, 4172, 3544, 632, 1571, 2738, 6925, 7973, 730, 671, 8268, 5329, 8018, 4829, 5537, 4339, 477, 528, 7809, 4422, 3707, 4190, 1096, 8871, 8237, 2384, 9729, 8893, 5854, 6166, 5769, 5839, 7167, 2097, 4045, 7181, 6260, 2307, 5823, 2871, 6103, 9495, 5522, 8706, 3909, 2761, 3045, 1475, 6209, 5095, 4311, 3371, 2267, 1755, 7277, 8183, 5183, 5458, 2830, 3346, 5600, 5188, 3215, 2149, 344, 8290, 7332, 8955, 8995, 5239, 4714, 7924, 7407, 9438, 660, 7655, 8602, 4905, 3173, 8293, 910, 7580, 5323, 9505, 3666, 2581, 3992, 1466, 3234, 3472, 3306, 7471, 1021, 1167, 1000, 6599, 6640, 8832, 4761, 9087, 327, 3564, 1520, 7966, 8082, 548, 8149, 7358, 1802, 1920, 8439, 3131, 9001, 6733, 4352, 7946, 6221, 830, 5031, 5377, 2613, 647, 1902, 9060, 7091, 8124, 5271, 8675, 6672, 9291, 8612, 9806, 3553, 9607, 526, 4438, 5356, 5540, 9743, 4627, 4873, 9669, 253, 2860, 9618, 8815, 7292, 267, 2605, 8281, 3471, 895, 3750, 9625, 1790, 6978, 8156, 1490, 5780, 2188, 2814, 2526, 9211, 4406, 3753, 2964, 835, 8554, 9546, 9154, 4658, 2781, 3534, 6745, 6466, 648, 7806, 1577, 1645, 5553, 8528, 7474, 7258, 2262, 3065, 5060, 7531, 7616, 7061, 2360, 9773, 6317, 2030, 8953, 9958, 9928, 8619, 7079, 7037, 6961, 1783, 1983, 8454, 7883, 3041, 4116, 5003, 2114, 9968, 5081, 2647, 5429, 4205, 4669, 8468, 4274, 8463, 120, 7176, 8849, 1114, 7008, 8794, 7724, 555, 9397, 9158, 9778, 3784, 7053, 8473, 8961, 9756, 484, 1764, 5190, 7852, 7454, 3570, 1597, 5117, 2807, 51, 8493, 6846, 409, 9019, 9196, 5836, 4004, 7207, 369, 7558, 939, 7698, 9115, 4445, 7382, 3209, 465, 8062, 415, 3773, 712, 5007, 9655, 9177, 1900, 8140, 9478, 4485, 4820, 1877, 7706, 9452, 6827, 2408, 9933, 8987, 7221, 7514, 3405, 5687, 7637, 9635, 5699, 9322, 8178, 7175, 7543, 8943, 7135, 4839, 3927, 2837, 850, 8187, 6949, 2191, 3722, 7125, 150, 8940, 6752, 2648, 8790, 7858, 4779, 4200, 9368, 1499, 4022, 7163, 7281, 9350, 9265, 1346, 9025, 7597, 725, 8105, 3038, 3491, 7267, 8375, 1087, 9392, 5825, 9038, 5307, 9659, 6829, 514, 6669, 1692, 868, 7423, 1313, 9023, 5251, 1459, 1109, 2444, 2702, 5082, 4794, 8887, 9640, 852, 7159, 9214, 7667, 1986, 6889, 3485, 5713, 1716, 2090, 9805, 5256, 1540, 9598, 5643, 3018, 4112, 7253, 3955, 5947, 593, 7224, 4812, 5658, 4770, 3402, 8001, 9833, 7183, 8780, 8364, 6576, 181, 9416, 3659, 3316, 5819, 6746, 1126, 9127, 4934, 8084, 2510, 1995, 4191, 5139, 7238, 5314, 3744, 6579, 7692, 3580, 2080, 1264, 4344, 2177, 2474, 7056, 1911, 8276, 6758, 8805, 2418, 8708, 6792, 6685, 3741, 6797, 6036, 3891, 1479, 2602, 6933, 334, 6656, 9311, 9823, 4387, 1705, 1778, 4523, 2541, 1933, 1624, 4238, 6563, 1625, 2616, 2451, 8770, 5846, 9093, 3827, 4113, 3286, 3184, 3056, 8821, 9688, 7909, 6285, 127, 8224, 6626, 8283, 2542, 3249, 1829, 7131, 2950, 1113, 7708, 855, 943, 8875, 99, 6320, 5541, 2184, 3417, 5664, 3768, 6035, 2800, 8758, 3364, 7709, 1080, 2205, 8333, 6124, 7584, 2233, 1935, 6940, 6492, 6056, 3291, 5491, 6093, 4986, 5520, 3800, 4319, 11, 9957, 8329, 4520, 3867, 2714, 5164, 801, 9750, 4227, 1681, 5524, 4917, 5698, 2362, 8782, 6478, 6091, 5194, 7582, 7290, 2618, 7095, 2698, 2921, 3994, 9583, 9517, 5760, 4317, 5714, 8334, 5589, 999, 2324, 2555, 8962, 1074, 6252, 5653, 9749, 7019, 5538, 3467, 6787, 351, 987, 7389, 5688, 7902, 1104, 454, 1713, 1915, 1954, 546, 7600, 7180, 2518, 2994, 9549, 3006, 151, 9488, 4326, 5744, 536, 2398, 7873, 7401, 1987, 2214, 7588, 6615, 2681, 9199, 2993, 7855, 1745, 8663, 7568, 3565, 5393, 3311, 6141, 27, 131, 1942, 6534, 8764, 272, 4197, 5762, 9919, 3572, 2778, 912, 2491, 4650, 843, 5373, 1746, 3376, 3055, 9950, 6027, 1556, 2487, 4433, 4783, 7050, 2658, 2047, 3834, 8775, 5596, 976, 9711, 1500, 2429, 3071, 487, 2428, 4699, 2907, 4991, 1570, 8980, 6015, 5404, 904, 9782, 7075, 7841, 3181, 319, 7197, 7425, 2667, 9814, 3961, 4807, 7563, 7893, 6254, 2691, 1213, 3172, 1711, 1373, 9484, 6577, 1862, 7535, 5246, 295, 6896, 2841, 8798, 5274, 7137, 9140, 9202, 9198, 5686, 511, 2146, 8573, 7625, 2222, 3348, 2701, 2470, 5245, 1432, 3644, 3101, 3663, 3695, 4701, 8475, 6651, 3742, 1760, 924, 2720, 9667, 9437, 4560, 8436, 8608, 8572, 8614, 1593, 9005, 2813, 3178, 2504, 6594, 7939, 9086, 8598, 6726, 4592, 8119, 2316, 858, 4371, 9233, 7775, 8412, 9788, 529, 5128, 359, 1226, 2731, 8408, 4968, 37, 4222, 2046, 4032, 8344, 518, 287, 4174, 3873, 4515, 9293, 8109, 9689, 2773, 3575, 3126, 3327, 9277, 7333, 3449, 9259, 417, 8244, 6948, 3443, 6832, 5901, 4511, 416, 9795, 7294, 8043, 4526, 8273, 1517, 637, 3002, 7481, 8701, 2549, 180, 7122, 5243, 1533, 4767, 6953, 1848, 9972, 4356, 4604, 8112, 9000, 7605, 6235, 6877, 9079, 7173, 1656, 2466, 104, 2946, 2084, 2119, 5712, 2143, 5249, 7092, 4678, 672, 2356, 212, 6117, 3100, 8575, 9120, 2607, 8240, 8873, 9643, 7876, 797, 9067, 8345, 9591, 5556, 586, 5858, 9983, 5303, 7236, 7039, 4652, 6861, 5752, 1619, 6524, 6241, 6882, 3082, 9204, 5043, 3486, 2770, 9873, 7969, 5650, 5008, 8883, 4108, 6346, 3593, 8025, 7796, 6815, 5717, 4483, 9208, 4493, 4423, 4446, 9062, 7717, 7420, 6853, 894, 6164, 1450, 2440, 897, 5036, 3779, 9682, 8195, 5637, 8425, 8806, 1715, 9552, 1799, 7885, 4327, 4849, 7581, 4736, 4897, 6894, 8653, 4649, 8718, 8569, 2165, 2931, 9462, 2937, 846, 188, 381, 752, 1953, 9039, 7371, 1526, 7879, 2116, 8134, 901, 8842, 5021, 6439, 9837, 9789, 8867, 4500, 8711, 8353, 8856, 1839, 5907, 5816, 3277, 2736, 2657, 8907, 9791, 6901, 45, 619, 4895, 4666, 2098, 4641, 8052, 5659, 6803, 1807, 7757, 1690, 4863, 7795, 6071, 3881, 6566, 2587, 2615, 8489, 1847, 1846, 8601, 4868, 97, 653, 4588, 2043, 5480, 5375, 7906, 1837, 6620, 5564, 9227, 4838, 3025, 8786, 3719, 5334, 3959, 6182, 7996, 3157, 6876, 4401, 111, 1626, 24, 8204, 3588, 6754, 3933, 3915, 5544, 1318, 6010, 4346, 1525, 3748, 8125, 2484, 8793, 2335, 1279, 9186, 5676, 4651, 1123, 5630, 886, 3013, 3844, 9029, 8707, 5123, 7201, 9184, 3106, 3743, 8429, 9134, 3080, 7254, 404, 2970, 8567, 4689, 4106, 376, 7334, 3948, 6047, 5591, 9771, 6850, 899, 9941, 5345, 8972, 6680, 7214, 8778, 7989, 7863, 1366, 4251, 4268, 6725, 2238, 7121, 7470, 7399, 5577, 7623, 6767, 8445, 5450, 215, 5049, 3048, 507, 4252, 4046, 7409, 4458, 9018, 7215, 1572, 7843, 2717, 8491, 4471, 4426, 1796, 9099, 5387, 6362, 5059, 9996, 4608, 5308, 7000, 1815, 3978, 6325, 5772, 4836, 314, 8221, 5315, 3613, 6950, 1497, 1536, 8004, 1051, 411, 6258, 8632, 375, 6536, 1859, 8750, 8545, 6120, 5838, 9465, 9244, 5543, 1603, 1940, 4359, 4958, 3670, 3446, 3163, 1204, 6526, 8175, 4787, 3090, 7886, 162, 8476, 2777, 2929, 265 ], [ 6500, 2260, 9547, 961, 7413, 9539, 8260, 9493, 6873, 5570, 7552, 3317, 237, 4389, 2056, 3131, 9172, 1818, 7996, 3886, 2084, 4653, 675, 9429, 1681, 3953, 8252, 2400, 9490, 9110, 4132, 7307, 7084, 8706, 2214, 9890, 3290, 8068, 4544, 5150, 6600, 2372, 7478, 743, 1238, 5348, 5573, 3239, 6538, 2238, 9527, 4631, 6551, 4249, 586, 1013, 3047, 4095, 6772, 5485, 7211, 2359, 1891, 7513, 3871, 8812, 9484, 3127, 2986, 6924, 3044, 1755, 7705, 6289, 1265, 7198, 5105, 3140, 4761, 495, 853, 38, 2562, 3571, 3654, 4606, 6615, 9186, 9242, 2103, 6646, 8656, 2503, 7392, 4559, 6004, 1521, 8952, 7789, 303, 283, 630, 4454, 1754, 3098, 5251, 4964, 1950, 4517, 4635, 9465, 7323, 869, 2788, 4986, 468, 2189, 5231, 3139, 1206, 9176, 5985, 327, 5437, 9177, 6430, 4063, 4100, 4416, 779, 6562, 2460, 658, 7011, 7491, 5681, 9345, 4165, 3595, 8489, 4788, 236, 9341, 2627, 3228, 1690, 6813, 3122, 6624, 2983, 9557, 1995, 9238, 135, 9959, 4515, 6947, 3403, 9587, 4099, 9549, 6744, 676, 9813, 6920, 6969, 4238, 9437, 1184, 7572, 8320, 520, 215, 6473, 6754, 7504, 1976, 361, 96, 642, 8752, 4146, 1478, 3361, 5603, 2083, 9993, 583, 2832, 8226, 353, 535, 5308, 6284, 6161, 2825, 2770, 6287, 3018, 348, 2373, 9106, 8111, 9566, 4563, 3163, 4832, 7210, 5355, 1892, 8950, 1166, 1442, 5885, 4827, 4474, 8771, 4722, 6663, 6933, 514, 9525, 8912, 4621, 4818, 1397, 4153, 7819, 2975, 78, 7692, 3488, 6802, 3468, 1736, 7554, 3191, 8472, 2005, 6912, 4338, 573, 5828, 1395, 3685, 9845, 8133, 8217, 1662, 3092, 8804, 4182, 5696, 9864, 6058, 165, 3430, 4580, 7762, 6278, 8713, 2888, 2771, 7783, 7329, 3620, 6193, 4565, 9551, 688, 4533, 5644, 1345, 8207, 9458, 5833, 5906, 4616, 8419, 6992, 2239, 5101, 234, 8612, 3128, 1749, 1469, 169, 2801, 9983, 4376, 3679, 3439, 9324, 9196, 3029, 9276, 7325, 8061, 4404, 175, 5604, 9312, 4642, 8857, 7870, 1077, 7318, 8149, 2436, 4522, 7832, 9648, 8794, 3100, 2230, 7868, 7098, 906, 6011, 2553, 9138, 9501, 5632, 5813, 5853, 7886, 7689, 1174, 2093, 6745, 2539, 3614, 6699, 2461, 8112, 813, 8366, 7968, 4073, 2708, 6136, 6771, 8598, 4716, 667, 3325, 4529, 2306, 8461, 9902, 3522, 2640, 1148, 3464, 5492, 4963, 1185, 3004, 1993, 626, 6746, 1173, 3160, 9709, 8107, 2722, 9955, 9820, 4837, 3869, 252, 2267, 8650, 8626, 5429, 6103, 7177, 1111, 4409, 2960, 8663, 8968, 6041, 1233, 6413, 2352, 7537, 8418, 1374, 4257, 4696, 6555, 3088, 1160, 6407, 7682, 1788, 1220, 527, 9839, 6074, 5342, 4184, 6778, 5171, 592, 4112, 5196, 480, 5875, 9803, 888, 4410, 247, 7637, 2576, 4178, 9876, 3758, 6983, 7079, 5477, 6513, 8317, 9703, 8621, 1249, 9236, 134, 7050, 142, 7644, 9044, 4911, 9861, 6951, 5908, 8636, 3904, 7162, 2256, 5024, 4614, 8978, 992, 8539, 8634, 1118, 9195, 398, 6201, 3799, 8316, 2163, 6666, 9710, 1786, 7337, 7837, 5943, 8986, 1262, 7932, 8287, 5580, 4586, 8465, 443, 3729, 9018, 726, 608, 2654, 2934, 8819, 3574, 519, 9715, 8275, 8048, 9804, 182, 9638, 5878, 6716, 8927, 9852, 9681, 255, 6990, 9565, 2624, 5079, 3129, 6237, 4646, 7388, 2878, 1921, 5852, 2620, 7410, 1757, 6225, 8194, 7055, 7978, 4683, 6922, 5858, 2891, 3544, 6891, 4536, 2928, 4740, 3841, 3221, 1655, 5367, 6514, 8593, 8151, 1230, 5326, 453, 6315, 5023, 1524, 843, 6216, 7751, 5530, 1369, 2510, 2430, 9468, 3095, 4997, 939, 8088, 4054, 1105, 8239, 7626, 4268, 9885, 856, 489, 4126, 7902, 5661, 6396, 7257, 2665, 5401, 5359, 660, 5095, 4773, 9742, 9768, 6262, 4743, 3718, 2681, 2670, 8702, 2637, 6543, 7719, 6010, 7892, 8400, 6354, 6975, 4107, 1115, 2822, 9339, 318, 262, 3971, 1953, 2834, 909, 3772, 8152, 2945, 4845, 9397, 2821, 3093, 3382, 3164, 4707, 1856, 3169, 2938, 6109, 7155, 2714, 2930, 3983, 9133, 9758, 9178, 4432, 7086, 2291, 3278, 5031, 2295, 4103, 155, 364, 7816, 292, 2818, 355, 4245, 740, 3732, 1146, 5718, 8415, 3747, 1708, 577, 4294, 2971, 2341, 4038, 6970, 7882, 19, 1197, 9552, 6605, 4493, 371, 6108, 9222, 3527, 2586, 197, 1781, 4398, 7585, 2794, 9210, 8134, 4729, 5922, 4232, 1590, 4667, 9674, 4491, 3791, 1997, 6249, 9066, 8276, 4989, 6674, 7347, 4367, 4378, 85, 5597, 3399, 9482, 8601, 400, 346, 2541, 4855, 6893, 1216, 4940, 5280, 7723, 8059, 4149, 424, 6604, 6715, 2548, 9963, 7933, 4024, 1920, 71, 229, 1430, 276, 1103, 5025, 9513, 6095, 9395, 6550, 2529, 5846, 6757, 7149, 9093, 9229, 4048, 4202, 9798, 5700, 6568, 4654, 3477, 6288, 3257, 6734, 3811, 6833, 9301, 6490, 5735, 1750, 6269, 5229, 9335, 3336, 9399, 3045, 2418, 1960, 7303, 8892, 5727, 7044, 6976, 3728, 7264, 4896, 8214, 4757, 7101, 6438, 2315, 7134, 1914, 7224, 5679, 5648, 6079, 8818, 5463, 9408, 9807, 8122, 5638, 4932, 9498, 1, 6535, 6028, 7121, 7915, 5549, 1457, 7, 562, 5300, 6718, 529, 3302, 5235, 7043, 6758, 3499, 9675, 2389, 1141, 9379, 5641, 9572, 7566, 5132, 3166, 4591, 903, 5218, 7849, 1005, 3350, 2935, 7449, 8327, 7433, 7657, 189, 8589, 3528, 3263, 3006, 523, 6447, 6090, 8807, 369, 9457, 4415, 3555, 1968, 7645, 7732, 9166, 3940, 9853, 1079, 7374, 4325, 6531, 5471, 433, 4957, 198, 5640, 1169, 3442, 1691, 8719, 9707, 214, 2331, 7567, 9042, 6836, 7500, 1854, 2042, 2897, 4920, 8124, 6937, 9396, 1907, 9258, 1084, 2240, 6711, 543, 3594, 2477, 1316, 3141, 3767, 9188, 4666, 6988, 4147, 4694, 4705, 3387, 3984, 8499, 2397, 1440, 4266, 7531, 7498, 8606, 3793, 1015, 219, 2289, 4793, 8788, 7175, 7596, 2860, 1846, 9659, 2970, 3907, 5356, 6226, 3779, 3085, 6085, 9666, 8584, 7382, 4088, 9977, 3921, 8020, 6157, 7241, 4611, 9640, 4025, 695, 693, 1792, 5721, 3937, 633, 8878, 550, 8026, 1399, 4582, 1927, 4442, 677, 3525, 8452, 3400, 3769, 4373, 7773, 3190, 4289, 8547, 538, 1218, 2057, 6846, 2678, 1291, 2458, 8102, 3467, 2639, 1901, 3995, 9162, 7551, 2677, 5427, 2712, 7484, 4596, 326, 3381, 784, 5622, 895, 2176, 5304, 8521, 12, 697, 3231, 5334, 706, 9869, 2914, 4489, 7505, 6783, 2990, 3827, 4331, 6512, 5494, 5100, 7608, 4913, 3885, 9628, 8162, 3075, 4392, 5877, 3932, 8767, 3963, 2403, 8969, 8847, 5465, 3763, 4014, 8146, 7957, 7076, 5449, 1678, 5522, 8128, 9471, 129, 2277, 2843, 295, 6032, 1747, 9847, 415, 7867, 5410, 1930, 3530, 974, 2628, 5194, 9058, 1125, 5322, 5205, 854, 5563, 7861, 6314, 4384, 5758, 8813, 381, 3138, 4377, 2754, 3329, 8595, 8837, 9653, 6569, 9928, 7013, 7814, 9694, 7863, 4658, 6026, 3301, 467, 1542, 5862, 4275, 2782, 1445, 1021, 8129, 5500, 6694, 6599, 7071, 1905, 5524, 4820, 6050, 6168, 7615, 1046, 40, 4328, 5770, 2965, 3378, 6519, 5917, 2840, 6881, 1356, 6282, 5916, 3226, 8856, 6251, 2365, 5057, 4047, 9589, 5713, 4924, 7365, 3208, 5708, 4436, 6673, 5005, 4102, 7937, 4366, 3533, 2830, 8657, 1617, 8179, 3025, 7058, 904, 1536, 7102, 4994, 6578, 7254, 7480, 8735, 2942, 2697, 5626, 6120, 9328, 244, 8322, 5480, 5060, 7069, 3961, 6570, 3998, 2922, 3016, 609, 5536, 4547, 3610, 4663, 9695, 9903, 5483, 7883, 7806, 8150, 7951, 9642, 3999, 1898, 9120, 8311, 7766, 1714, 6936, 8359, 7533, 772, 2690, 7693, 5966, 5980, 5450, 86, 4860, 4648, 5711, 1809, 6875, 9360, 9240, 8958, 5606, 799, 2984, 9919, 7435, 51, 6097, 9540, 4512, 285, 5954, 3649, 9295, 4809, 4579, 9622, 6198, 7342, 8543, 5929, 9569, 7100, 618, 6190, 4643, 4787, 3251, 3369, 1644, 5797, 1924, 2299, 3249, 5567, 4919, 2085, 6038, 3429, 6566, 3810, 8546, 3884, 3655, 3137, 728, 4504, 120, 2890, 6150, 3243, 6060, 9167, 4884, 5198, 2552, 8436, 3081, 6819, 6171, 3753, 7562, 5010, 1618, 5931, 668, 598, 8764, 1298, 9843, 9050, 1574, 2182, 768, 5988, 2437, 8148, 6417, 7341, 7601, 5560, 5372, 8495, 4901, 3712, 2939, 9214, 6208, 6333, 5854, 3485, 7790, 1436, 1213, 7238, 3017, 354, 1328, 3432, 7300, 1306, 4605, 8923, 925, 192, 3168, 3911, 9590, 6436, 6831, 9783, 439, 9682, 1857, 2095, 6229, 3826, 6088, 5884, 2175, 9608, 5871, 3455, 924, 537, 4775, 1718, 6894, 3462, 6590, 5243, 973, 759, 8709, 6324, 5443, 4485, 1232, 3113, 1732, 7094, 5207, 8383, 9315, 3105, 4233, 1177, 6342, 2952, 2958, 6635, 1044, 7301, 9281, 506, 5461, 5438, 1341, 8294, 7661, 1063, 3454, 2546, 5730, 7523, 3910, 9128, 8341, 8333, 1900, 6027, 7445, 3996, 9931, 9699, 5962, 1371, 1648, 7201, 8999, 811, 3699, 8957, 4003, 9526, 159, 4978, 9879, 6330, 3444, 8701, 1758, 5254, 3342, 5739, 5478, 2991, 1602, 7922, 4425, 8011, 9143, 9320, 8096, 8835, 2371, 5034, 3854, 6254, 7351, 9215, 3082, 3451, 4669, 6950, 2020, 5714, 8176, 5789, 2271, 44, 2217, 4931, 579, 103, 69, 5993, 3511, 6839, 4558, 6247, 2647, 8353, 3918, 4371, 7635, 6394, 2551, 8778, 4312, 4698, 8889, 5056, 9154, 9454, 4180, 9022, 5186, 2512, 2973, 4701, 6934, 4029, 9624, 1651, 5757, 4313, 2767, 7148, 3371, 4234, 1722, 2053, 6402, 4977, 4668, 1041, 5972, 7618, 6642, 4368, 4006, 1370, 5426, 3783, 2370, 9737, 7836, 1999, 3997, 5141, 1386, 2237, 8001, 5407, 7208, 1814, 3722, 1990, 7036, 9340, 9483, 860, 9474, 130, 5181, 9105, 718, 1466, 983, 4326, 5723, 2711, 8221, 3063, 8504, 4815, 1239, 6946, 2861, 753, 190, 6767, 9007, 5068, 2196, 2350, 5866, 6533, 8523, 7623, 1790, 3448, 1234, 6926, 5233, 3575, 9888, 796, 4597, 7731, 2481, 2232, 170, 1552, 8402, 6264, 5951, 3949, 5211, 8996, 2646, 1097, 1972, 2966, 8975, 2179, 7530, 2645, 8733, 3366, 25, 6434, 2415, 1027, 8768, 9850, 9558, 8809, 1122, 9227, 672, 3959, 8940, 2247, 4553, 3723, 9013, 689, 3343, 949, 1110, 138, 5119, 5344, 3945, 5203, 4077, 2941, 8428, 9087, 8245, 3199, 7501, 4308, 2823, 7757, 839, 7282, 6662, 889, 9723, 9964, 7354, 3733, 4120, 1091, 2313, 9398, 2002, 7629, 7053, 1223, 8083, 7918, 1810, 4443, 9995, 1578, 5643, 9430, 8389, 5312, 7083, 8645, 5059, 8288, 5876, 699, 4027, 5904, 8007, 7770, 3510, 907, 4093, 5537, 8108, 5647, 1047, 6765, 2251, 7072, 8219, 9942, 4602, 8907, 6272, 8855, 9556, 840, 6082, 7801, 1610, 6440, 7051, 9376, 1918, 7334, 4117, 1237, 8139, 2929, 1706, 5421, 6304, 9936, 6466, 4981, 41, 654, 2452, 8697, 1556, 3026, 1482, 631, 3398, 6007, 1001, 8374, 5092, 8698, 1756, 7092, 4270, 6941, 6729, 8602, 770, 5253, 4967, 6654, 6275, 7139, 2302, 174, 6845, 3297, 5479, 5400, 7305, 1584, 3458, 8898, 9107, 9933, 914, 3623, 8094, 9330, 9082, 5564, 248, 8084, 6689, 6895, 8925, 2294, 4488, 9273, 4955, 6601, 1941, 102, 199, 2269, 6752, 6837, 8106, 5454, 4198, 4909, 1562, 2846, 4678, 5556, 1886, 648, 1971, 2488, 3480, 1933, 7834, 7455, 5662, 3930, 2330, 1782, 1380, 1645, 4387, 748, 2661, 5728, 8858, 747, 8743, 8023, 7986, 474, 6869, 8786, 8708, 2842, 1975, 5994, 9116, 1977, 1215, 6850, 4012, 2841, 5370, 2054, 7985, 3986, 988, 6469, 8213, 4372, 741, 8164, 8963, 7838, 6861, 867, 4345, 428, 2037, 4910, 3210, 6375, 894, 3043, 4956, 8140, 6433, 5224, 7231, 1580, 3412, 2011, 7772, 922, 465, 896, 516, 3284, 2772, 8038, 6785, 4916, 286, 7464, 7477, 3326, 7120, 8054, 6096, 2335, 8566, 5143, 5767, 6909, 3048, 2775, 8597, 8144, 8410, 7604, 9450, 5785, 7988, 7959, 8703, 1248, 1441, 5615, 8259, 9673, 7207, 2655, 4136, 8549, 4000, 2865, 9462, 2387, 2751, 531, 5078, 5865, 2149, 8435, 1541, 4875, 5358, 7810, 1640, 1325, 7396, 9777, 3078, 2829, 6124, 7945, 8583, 1605, 4145, 2298, 9158, 1190, 2409, 3835, 1528, 2198, 5340, 7690, 2523, 6327, 9361, 4749, 6724, 8416, 5416, 9008, 9838, 5699, 4791, 1510, 269, 1222, 8646, 7787, 9689, 4461, 5733, 9975, 1545, 379, 7854, 6073, 4176, 4612, 8785, 9394, 7453, 5800, 7142, 8486, 334, 1400, 2394, 1415, 7408, 5509, 5275, 5528, 5779, 2117, 8644, 4258, 2096, 3479, 2079, 1571, 615, 1465, 9991, 4183, 3689, 7944, 3070, 6931, 3895, 3515, 7595, 1416, 7202, 5055, 3060, 3669, 673, 1164, 1162, 9765, 3152, 9480, 5363, 168, 970, 4115, 1596, 5179, 5881, 6866, 1099, 6449, 6303, 2321, 3629, 3800, 976, 8181, 2261, 2139, 2514, 4460, 9459, 4822, 1654, 8377, 9855, 5984, 4695, 7893, 9833, 9384, 296, 2055, 5172, 7876, 3682, 1969, 5842, 6586, 1894, 2924, 3700, 7250, 9447, 1387, 3415, 2391, 7234, 5911, 4731, 557, 9062, 5369, 72, 8362, 7609, 9926, 4058, 4459, 4475, 3859, 8375, 7664, 7176, 81, 6540, 200, 8967, 5220, 3157, 1331, 6823, 3778, 873, 4349, 8792, 7037, 9706, 2325, 497, 349, 6496, 2737, 837, 5981, 233, 1202, 2134, 1443, 9287, 2791, 5508, 2940, 567, 2266, 989, 5040, 4703, 6830, 8392, 2716, 3407, 898, 4388, 2912, 7907, 8141, 9512, 9731, 2696, 4379, 5074, 5102, 9782, 3050, 6510, 1285, 7871, 2170, 3037, 6989, 9184, 9095, 8766, 1276, 3991, 9871, 2937, 2618, 9585, 8300, 7344, 4279, 3601, 2279, 1525, 3034, 6398, 7119, 5439, 9090, 2197, 2741, 5870, 4735, 7514, 8250, 952, 1641, 7209, 8842, 7020, 5761, 3214, 3966, 7588, 9897, 9308, 8429, 8802, 9986 ], [ 1404, 6529, 417, 7353, 5811, 8882, 2160, 5267, 1311, 3657, 8202, 9431, 3142, 1733, 9418, 7204, 7782, 2318, 3715, 2082, 4397, 9071, 2816, 1321, 4625, 596, 3566, 6222, 2577, 9824, 5084, 7555, 760, 6265, 1461, 4768, 7296, 9153, 9669, 5364, 3203, 8887, 5574, 6751, 3409, 1873, 9691, 3224, 4324, 2178, 7557, 6317, 783, 2089, 5147, 2008, 1636, 1346, 4150, 2406, 4438, 2457, 1564, 1039, 9632, 8225, 7811, 1531, 3474, 1073, 9410, 780, 7039, 7116, 7472, 4628, 5126, 9136, 8227, 8596, 4502, 6128, 5750, 1966, 2608, 5107, 2886, 6999, 7095, 6134, 9141, 8443, 1679, 9070, 9347, 2270, 8565, 3293, 1629, 2314, 2393, 7118, 5145, 735, 4772, 9426, 9789, 1800, 732, 865, 9935, 6818, 6162, 3234, 7967, 3913, 5623, 5898, 9794, 457, 3612, 4578, 1449, 6688, 2362, 9226, 9596, 8191, 5305, 8484, 6098, 6029, 3116, 2051, 8631, 5398, 4895, 1600, 3470, 9896, 6824, 4494, 336, 7272, 6671, 7473, 8868, 6471, 1295, 2513, 9773, 8997, 9514, 1422, 7564, 6145, 1080, 9004, 1576, 7569, 7278, 8536, 1527, 8201, 6766, 786, 8491, 3749, 9505, 8610, 9343, 2630, 9202, 6258, 9400, 7590, 4567, 5432, 3520, 6575, 7544, 3340, 6801, 972, 2739, 1887, 7774, 7748, 1114, 5073, 9239, 9318, 6709, 7771, 1876, 6141, 2850, 2502, 2369, 3232, 438, 9739, 6786, 9104, 1752, 5290, 9030, 1601, 9193, 2537, 5610, 9439, 2218, 8693, 161, 7247, 7943, 2589, 470, 1561, 8689, 3011, 651, 3717, 4979, 6348, 5887, 3626, 8153, 6714, 6084, 8368, 4108, 4726, 3304, 1244, 1026, 1068, 3856, 4101, 209, 7897, 6961, 2505, 5497, 7858, 2909, 5066, 6828, 7194, 2046, 7503, 1042, 6985, 4817, 7750, 6379, 5939, 632, 7246, 2286, 4724, 2172, 4513, 385, 8459, 3065, 5880, 8966, 4766, 9619, 4801, 4590, 5345, 8931, 9958, 9316, 9267, 9576, 3009, 2521, 420, 6582, 9998, 5513, 8913, 9530, 9780, 2364, 6901, 6942, 3115, 967, 2107, 2530, 7460, 1314, 4087, 2344, 8117, 9298, 7805, 2524, 6372, 9517, 6795, 8562, 409, 9122, 669, 5296, 2322, 4744, 2671, 55, 2308, 9633, 9545, 9064, 6993, 4119, 1621, 7512, 7349, 3720, 6789, 4411, 9404, 4671, 3410, 2410, 6025, 9451, 2363, 9735, 3335, 9516, 2867, 8319, 7281, 6357, 5825, 7239, 2773, 2428, 1869, 2384, 52, 8568, 5397, 5137, 6003, 4624, 9967, 3124, 2228, 1902, 2667, 9300, 6974, 4473, 3461, 6144, 220, 4800, 7179, 5936, 9840, 7995, 380, 271, 5021, 6581, 2157, 6815, 6057, 6493, 3339, 7330, 8671, 7376, 9842, 9197, 830, 9844, 4843, 7728, 89, 4263, 6779, 7180, 7089, 1884, 6106, 3659, 4445, 1961, 7903, 1225, 3423, 1200, 9496, 2154, 3508, 1992, 1565, 2619, 4615, 7112, 880, 7279, 5864, 5764, 1410, 7437, 29, 9610, 1686, 8776, 7188, 585, 2153, 605, 3735, 3112, 2641, 2310, 7541, 1991, 9728, 6954, 4990, 206, 6844, 6557, 2136, 8326, 8714, 3954, 3618, 1388, 5777, 769, 7294, 1591, 9406, 3852, 317, 1917, 1391, 3675, 7429, 7319, 9980, 6842, 9536, 1587, 1254, 5008, 3838, 5717, 5004, 8081, 2932, 9127, 7461, 1539, 5553, 9263, 4414, 8078, 6182, 8760, 9453, 871, 3531, 744, 340, 3505, 7185, 8570, 8988, 2893, 8740, 7064, 7420, 509, 5156, 8335, 1568, 440, 9609, 7777, 7917, 2227, 946, 5540, 862, 492, 5873, 6191, 8505, 7926, 6390, 3551, 4759, 9510, 2253, 7395, 8422, 3363, 4380, 7145, 7186, 5409, 1840, 5256, 4221, 3267, 2127, 2583, 1245, 8209, 1161, 7061, 5507, 9344, 1057, 4393, 6763, 3275, 3680, 1011, 444, 1235, 6979, 5298, 7613, 9762, 3189, 2119, 6530, 6864, 2756, 2465, 7543, 8268, 1985, 3731, 3483, 8168, 9671, 4976, 3469, 6392, 323, 3452, 7696, 2357, 1470, 9460, 9814, 6328, 3617, 2216, 1333, 9974, 5963, 6495, 9570, 5007, 7729, 6233, 3990, 9637, 9477, 1112, 9604, 3760, 6387, 9488, 5033, 2933, 8115, 5144, 224, 144, 891, 5490, 8212, 5446, 7099, 808, 548, 8218, 4243, 4419, 6056, 3883, 4652, 5710, 5307, 5161, 6667, 6174, 2591, 6245, 4987, 7676, 9979, 4524, 7327, 9401, 2342, 5568, 2565, 8483, 5590, 3072, 5816, 5778, 5781, 9697, 920, 4856, 1361, 4710, 2944, 5635, 1843, 2360, 8661, 5571, 8607, 9920, 9725, 8070, 3647, 5285, 4840, 6462, 7416, 8051, 9388, 9546, 1196, 827, 8238, 8920, 7436, 6059, 2203, 5726, 4584, 928, 9529, 6899, 5684, 4235, 6285, 7561, 6863, 823, 195, 3599, 402, 2080, 2653, 9208, 2338, 6848, 3457, 9524, 9358, 3843, 9151, 7542, 6242, 5343, 88, 6821, 4001, 331, 7536, 2805, 3622, 1176, 1312, 2863, 7765, 3656, 2752, 366, 6089, 7313, 2420, 5649, 9992, 8876, 9155, 9786, 3110, 4637, 5579, 8592, 4783, 9051, 734, 6034, 9792, 6053, 373, 761, 6349, 260, 5255, 7040, 2567, 2572, 5223, 7648, 9204, 430, 7088, 1292, 9817, 2431, 6907, 7428, 2672, 82, 7287, 3359, 9900, 8325, 6738, 3563, 1719, 1844, 2949, 7273, 1488, 2077, 6130, 1207, 863, 1592, 3032, 1802, 5241, 911, 8962, 1354, 7687, 6792, 686, 1944, 1881, 4350, 4447, 3076, 847, 9108, 7712, 2604, 216, 7683, 6645, 7556, 3967, 8619, 7225, 7381, 2183, 7768, 7812, 2191, 9615, 1730, 1795, 3801, 8852, 6257, 9472, 4519, 9124, 3465, 7372, 3475, 8869, 5499, 5289, 6381, 3812, 3882, 249, 9386, 3491, 6427, 2108, 6892, 7827, 1253, 1616, 5213, 5683, 7570, 6214, 7527, 8753, 9952, 6501, 105, 8356, 6456, 6418, 3411, 5780, 3196, 3008, 3005, 8628, 2133, 4715, 9491, 8010, 9667, 5378, 3978, 493, 3259, 2469, 5337, 6877, 7560, 9435, 6782, 8476, 2025, 6232, 2796, 8669, 8575, 6450, 5320, 8552, 1855, 6340, 8935, 8630, 7059, 6069, 7443, 6736, 37, 8156, 5, 1204, 6649, 762, 6643, 4507, 8843, 6367, 1451, 6747, 2927, 8471, 3125, 4917, 3404, 14, 210, 7909, 2155, 8524, 709, 3923, 7333, 884, 8453, 330, 1178, 9278, 8234, 9053, 1193, 5113, 4771, 5118, 7603, 9790, 1432, 5456, 6194, 9605, 3262, 9701, 3925, 9800, 4702, 8512, 6421, 2972, 435, 5851, 7632, 7825, 462, 6571, 7293, 9744, 8641, 1956, 555, 5210, 3380, 1519, 5399, 6660, 3173, 7828, 2635, 3002, 5991, 2471, 8841, 7438, 1365, 6619, 5996, 341, 419, 9086, 521, 370, 1350, 1615, 7911, 5624, 9099, 7226, 5050, 7109, 7259, 8613, 6143, 1212, 416, 5558, 1264, 3919, 9146, 4357, 694, 8526, 4608, 8283, 7047, 9393, 1087, 1294, 8848, 3517, 7620, 1142, 5225, 2337, 9656, 5964, 4104, 6197, 1188, 441, 2414, 6325, 2519, 177, 6749, 7045, 6676, 5064, 6224, 5121, 178, 4072, 5160, 3286, 5808, 4550, 2581, 2169, 9767, 1581, 2994, 3958, 5246, 3059, 4274, 2377, 6886, 9297, 821, 5905, 5686, 4214, 2588, 8344, 1119, 3419, 4300, 6915, 524, 5892, 3834, 3860, 7182, 4577, 3590, 2152, 836, 7154, 8532, 9874, 2858, 4961, 990, 9754, 5120, 7578, 5645, 6378, 5872, 8580, 2208, 7680, 4929, 8676, 7738, 2453, 5394, 4069, 4810, 2380, 104, 3393, 791, 6706, 2069, 4222, 456, 7899, 7367, 6814, 6391, 3683, 6217, 8118, 222, 1885, 157, 2064, 3501, 6283, 6698, 3117, 3605, 7691, 4218, 9521, 6986, 9478, 5921, 4114, 3845, 9102, 6361, 2219, 885, 3577, 107, 5405, 9, 7236, 8045, 8642, 4541, 6377, 3581, 5325, 5716, 5912, 1996, 8737, 6825, 3823, 624, 7060, 8109, 4662, 4526, 9515, 6506, 7780, 4444, 9621, 1948, 3641, 5657, 8555, 9531, 1072, 4052, 3206, 4665, 6337, 2592, 3658, 1075, 4437, 8651, 2561, 2193, 2023, 235, 272, 1879, 9990, 781, 3660, 6441, 423, 3766, 9760, 9614, 8397, 9578, 6898, 1270, 934, 101, 4649, 9019, 1431, 7123, 9017, 6829, 1904, 547, 4113, 5731, 6537, 8347, 7992, 4407, 321, 9779, 6309, 8014, 1643, 4059, 6807, 4353, 1475, 8073, 2195, 7150, 9713, 5175, 8777, 9150, 164, 639, 9005, 7143, 8633, 8224, 6887, 5130, 6707, 6139, 2798, 7736, 9440, 8114, 6043, 7292, 1698, 9736, 7785, 8079, 3074, 5357, 5371, 984, 6295, 1832, 1267, 1382, 4792, 8525, 8005, 5293, 6373, 4253, 960, 4264, 3602, 5950, 6336, 7252, 4440, 683, 7391, 7904, 3789, 23, 1551, 729, 3374, 7900, 3609, 2998, 5360, 7261, 1776, 8707, 1789, 6809, 9561, 325, 7866, 2186, 2724, 1407, 5940, 4765, 8110, 172, 9012, 8673, 1421, 5314, 998, 4737, 2210, 3858, 8030, 7983, 8159, 7908, 872, 9658, 3795, 9112, 4129, 9567, 9503, 350, 7663, 7963, 1538, 4548, 3274, 5677, 2612, 1053, 4959, 5759, 6261, 966, 2787, 1231, 1695, 882, 980, 352, 9270, 4226, 7200, 2223, 8076, 997, 9755, 2345, 3744, 5792, 2027, 7284, 584, 7760, 4305, 8318, 4543, 7927, 7586, 7042, 5212, 3272, 2087, 3287, 59, 9580, 4161, 274, 7946, 7256, 5452, 8298, 7357, 6474, 1427, 4839, 8016, 106, 3868, 902, 6154, 368, 304, 4062, 8638, 8955, 3384, 7769, 2856, 6505, 2961, 3759, 9901, 522, 6169, 5027, 8186, 2852, 5516, 5373, 1500, 1240, 7157, 5654, 712, 9481, 893, 8884, 1448, 4973, 1774, 2596, 156, 9285, 2547, 738, 351, 7286, 5740, 6370, 9342, 9234, 7860, 3260, 8528, 3370, 3572, 1337, 4254, 1835, 9427, 7384, 2689, 6195, 9600, 3912, 4841, 3327, 7727, 8285, 6903, 1821, 9436, 5157, 3548, 9613, 7522, 2113, 7458, 9085, 852, 2982, 8563, 7638, 3204, 935, 4960, 1123, 8690, 1709, 3523, 7919, 7404, 1300, 9787, 9054, 4750, 6355, 2682, 2595, 1437, 6618, 3077, 7694, 3929, 8544, 2785, 8829, 9823, 483, 2845, 4168, 7137, 9716, 2658, 3492, 4984, 83, 1826, 4281, 8466, 4418, 656, 7205, 2824, 806, 9327, 2142, 5829, 3, 5722, 1687, 6366, 1870, 2693, 5018, 4250, 9073, 9924, 9230, 8284, 679, 7577, 8233, 4904, 7447, 5978, 1964, 3071, 299, 293, 2101, 9727, 7656, 9714, 725, 4057, 1456, 3261, 3965, 4413, 9256, 7031, 8960, 8654, 225, 9743, 4679, 1748, 6424, 7550, 9764, 8080, 8582, 9733, 9168, 3294, 3748, 7647, 916, 3459, 3130, 2284, 714, 3478, 6929, 1289, 1680, 5197, 4866, 5526, 9816, 4188, 9960, 7829, 2980, 4799, 9055, 6321, 2030, 7387, 5104, 5630, 2753, 4674, 7087, 8358, 1967, 310, 8895, 3028, 2749, 9873, 3819, 1081, 4534, 773, 4862, 1553, 5382, 2918, 1065, 1853, 8231, 8917, 8684, 117, 7740, 5920, 3185, 5247, 9889, 4212, 7726, 7000, 3709, 5541, 4927, 8440, 2780, 2071, 9101, 5655, 2150, 6199, 5239, 1981, 1577, 7221, 9148, 2666, 3688, 6305, 9932, 4712, 7612, 5578, 2307, 1406, 264, 5284, 121, 1061, 5926, 478, 958, 1540, 8160, 1909, 8289, 8351, 3211, 6874, 1797, 8939, 7220, 1806, 1943, 6104, 9383, 1537, 850, 7104, 9284, 1194, 4156, 1827, 812, 797, 376, 4231, 9494, 6655, 8972, 1515, 3898, 7950, 8406, 9232, 7019, 627, 8832, 4487, 518, 8430, 1897, 1360, 8838, 3875, 3321, 7218, 5814, 5052, 3447, 3046, 1652, 2114, 2212, 9586, 7784, 8763, 6423, 6347, 5415, 9665, 2205, 3596, 644, 2426, 2634, 4991, 9770, 9943, 8340, 56, 4083, 7581, 9672, 8456, 5523, 3318, 5185, 5417, 9582, 3003, 6152, 4923, 126, 7415, 9268, 4157, 1572, 4758, 8929, 8424, 6067, 5915, 2346, 2910, 1547, 5271, 67, 810, 2709, 4812, 2623, 6741, 9747, 7362, 1793, 9542, 6179, 3586, 9984, 5303, 7169, 552, 6037, 10, 4974, 1874, 8730, 3418, 2, 5283, 943, 870, 6365, 5529, 4237, 8485, 6235, 6239, 2631, 9373, 5551, 6564, 7786, 2679, 4970, 2333, 6685, 9625, 591, 2086, 9784, 3171, 9028, 3014, 4138, 6102, 3300, 8457, 8408, 501, 5294, 9094, 2281, 4627, 1653, 3906, 7940, 9231, 3019, 8398, 6859, 3730, 2528, 6230, 3881, 775, 3773, 4055, 8533, 3015, 8187, 1903, 9389, 9476, 6338, 8407, 7752, 3900, 1935, 7706, 6477, 7096, 4085, 5189, 1987, 3621, 9947, 9797, 9969, 752, 3062, 4655, 8442, 2190, 257, 899, 1693, 3650, 8928, 8629, 7423, 8932, 2422, 7743, 6759, 3668, 3931, 7181, 9334, 5260, 8956, 7971, 9649, 7521, 1189, 4926, 8700, 5139, 4496, 1963, 2831, 5831, 1330, 5694, 9115, 7262, 3616, 1728, 4374, 7745, 4430, 9031, 5559, 8292, 1274, 4174, 6453, 650, 7489, 7795, 561, 3512, 8330, 77, 5199, 6904, 955, 3150, 8770, 951, 16, 816, 213, 7049, 6376, 8762, 6998, 9509, 9771, 6409, 99, 5763, 8779, 9203, 2273, 4282, 4645, 8704, 6091, 7735, 7167, 9144, 4727, 8658, 4468, 3118, 3103, 764, 309, 1936, 7546, 2936, 5834, 2167, 8257, 2578, 2686, 3347, 74, 6641, 1156, 4122, 6271, 8604, 8421, 4887, 7082, 6580, 4304, 8667, 6919, 6268, 6166, 959, 5070, 2611, 9553, 7993, 641, 7317, 4921, 313, 756, 5857, 1033, 9602, 4206, 4622, 4639, 4134, 875, 9370, 6944, 1569, 3603, 7851, 2255, 7336, 1364, 7170, 1657, 396, 425, 5990, 5217, 7901, 2908, 8559, 4790, 5835, 8306, 3435, 546, 4677, 9785, 139, 185, 91, 4458, 9131, 6123, 5874, 6832, 3697, 5504, 302, 13, 7987, 5969, 3738, 359, 4684, 6451, 4066, 3710, 4525, 4588, 6696, 2568, 1429, 4205, 7970, 3607, 4151, 3926, 6644, 6502, 9662, 568, 9732, 9416, 2404, 8021, 6494, 8769, 564, 4803, 5572, 2898, 7833, 5111, 8089, 6585, 7035, 6112, 1181, 4944, 7280, 9209, 3988, 314, 7650, 4912, 5933, 8130, 2967, 7014, 2926, 2100, 7906, 7370, 4448, 3573, 8395, 5476, 6464, 7377, 7744, 6966, 7441, 8705, 217, 5043, 616, 46, 1362, 3236, 9925, 7979, 3627, 9333, 9187, 6052, 8293, 6704, 750, 9260, 4719, 5474, 5128, 8744, 1952, 94, 4267, 5226, 2385, 4118, 399, 3273, 1689, 4049, 6371, 2201, 7244, 8372, 7839, 4560, 2349, 9225, 6549, 1019, 876, 137, 1518, 6927, 8404, 4902, 7713, 3405, 2571, 2328, 7427, 5362, 476, 451, 1946 ], [ 6395, 6478, 4983, 9996, 6270, 7668, 4121, 258, 9894, 6081, 7496, 1959, 912, 5787, 8386, 3917, 345, 3633, 7052, 7048, 978, 3222, 8519, 6138, 6210, 8464, 5658, 7848, 8993, 6798, 3367, 1025, 9293, 7485, 3040, 4831, 2854, 7490, 5830, 7235, 8304, 6386, 5093, 6307, 8588, 4753, 3756, 4546, 6256, 818, 6202, 6902, 9139, 5335, 7685, 7378, 3241, 6087, 9111, 3798, 2776, 9080, 6977, 4785, 6708, 1929, 344, 6167, 9692, 2258, 6867, 1931, 1192, 2479, 3360, 1513, 8282, 4097, 7660, 4013, 638, 3644, 4825, 2060, 7448, 5493, 464, 2383, 1837, 7470, 745, 5782, 7165, 8244, 6808, 9630, 2889, 8246, 4252, 6113, 3247, 755, 4988, 3066, 9661, 7023, 2721, 859, 4508, 9191, 5412, 8255, 3495, 7093, 7991, 2800, 9774, 6565, 6064, 1549, 878, 3379, 6957, 7535, 8798, 6796, 7117, 2305, 4045, 2837, 9216, 4424, 7263, 6527, 7633, 7875, 5704, 5707, 3905, 2797, 8734, 3879, 2348, 8241, 1888, 5127, 6516, 6955, 3417, 4934, 48, 8754, 7822, 790, 3981, 5724, 5082, 8600, 1414, 3338, 2992, 6705, 4076, 1467, 5391, 4008, 9241, 2905, 5947, 408, 2601, 1138, 9092, 8905, 2956, 9023, 8648, 3111, 663, 1309, 5332, 8859, 9918, 8113, 5817, 1824, 6913, 6016, 7881, 2245, 7984, 9734, 7412, 4632, 1381, 6857, 5602, 1606, 8674, 469, 6625, 418, 5742, 434, 1372, 7468, 5596, 3057, 8748, 923, 6352, 834, 8946, 5670, 8432, 739, 4868, 4718, 2904, 8511, 3023, 6360, 9504, 8267, 6817, 1109, 5673, 3153, 4015, 372, 1459, 68, 5601, 2997, 3354, 9520, 6023, 8971, 5804, 5206, 8342, 320, 9904, 7363, 6835, 6627, 227, 3865, 2662, 7781, 9612, 2446, 3796, 6826, 7113, 4798, 4229, 8477, 3894, 1830, 6791, 5532, 8470, 4774, 1006, 240, 5836, 730, 3375, 7304, 7797, 8041, 1831, 2549, 475, 8534, 8569, 6335, 7936, 1982, 4598, 9189, 6279, 8269, 9594, 6175, 3175, 241, 657, 5838, 3268, 256, 8482, 5292, 5660, 196, 6539, 8337, 8280, 8974, 226, 646, 1939, 4922, 4859, 2906, 5390, 4691, 1684, 8694, 2309, 5152, 611, 3283, 6860, 1777, 4594, 6858, 2129, 15, 3089, 1951, 7924, 8574, 9815, 7136, 3358, 7549, 3049, 8158, 2718, 1310, 466, 6020, 2901, 5453, 1760, 1191, 829, 7267, 9946, 6800, 2977, 7371, 820, 7598, 7166, 774, 1834, 26, 460, 5264, 4317, 9939, 4314, 9001, 5968, 7817, 1078, 4717, 100, 3909, 2616, 1516, 5408, 5550, 3951, 6458, 1036, 7328, 5786, 5297, 2827, 9670, 280, 9473, 8529, 8475, 2765, 3440, 7483, 166, 9387, 1195, 6888, 6790, 1170, 1347, 2501, 6987, 2252, 186, 614, 5998, 4633, 2806, 2526, 817, 9972, 9224, 356, 7725, 477, 8745, 7889, 7855, 8439, 119, 9034, 3154, 6657, 3351, 2575, 3306, 4423, 9584, 2758, 147, 1738, 8210, 7110, 3676, 9717, 7539, 8520, 2988, 1668, 6012, 5166, 3754, 6806, 2200, 290, 6172, 3149, 2026, 2740, 9432, 4007, 4603, 3803, 2531, 931, 4867, 8820, 576, 5505, 7291, 7285, 8237, 5016, 2327, 3084, 84, 6362, 9912, 7711, 8991, 259, 9887, 7756, 6762, 8944, 2807, 2691, 490, 900, 4082, 9611, 6606, 6319, 713, 8286, 3653, 9603, 6953, 4806, 221, 4166, 6621, 2447, 4828, 4348, 7746, 1168, 4472, 4996, 2683, 1463, 8024, 4209, 8437, 6416, 5543, 3316, 4889, 715, 362, 2146, 9452, 1076, 212, 635, 5153, 9849, 3719, 184, 2052, 4327, 2675, 7841, 938, 2814, 9821, 8063, 8840, 3099, 4061, 6967, 4002, 4071, 8154, 32, 6219, 324, 2931, 5581, 9870, 7742, 8506, 9978, 4554, 288, 2367, 1633, 6868, 7320, 7665, 2951, 5663, 1804, 2638, 4464, 7698, 395, 4225, 1721, 6313, 4056, 2006, 539, 7826, 8455, 4946, 6633, 578, 8517, 5149, 2442, 1631, 9467, 7878, 9135, 9678, 510, 2472, 7217, 8647, 3368, 2336, 6013, 4319, 3727, 6339, 3438, 9910, 9464, 5048, 1359, 7346, 315, 765, 7249, 5110, 1014, 8789, 8167, 9583, 6732, 8200, 4196, 375, 3279, 6940, 9916, 1447, 3955, 5164, 4556, 1327, 5977, 3529, 2544, 6507, 160, 6797, 3167, 8535, 570, 7012, 4125, 8727, 3386, 2566, 4838, 1676, 5393, 6281, 9217, 9015, 4297, 2065, 5941, 1313, 8056, 6720, 8046, 2606, 6962, 4826, 9940, 5487, 9938, 4462, 5514, 1740, 6180, 5431, 4096, 7584, 4164, 7144, 2536, 3402, 6883, 6485, 2743, 2828, 9266, 448, 446, 2116, 5967, 1390, 4046, 6554, 5046, 9365, 8830, 5433, 1699, 2444, 5669, 2784, 6583, 2259, 8350, 3288, 9060, 2111, 4435, 4023, 6331, 8755, 2135, 9544, 4406, 6536, 1509, 1880, 3376, 3431, 1555, 2955, 8983, 1323, 3736, 2439, 2319, 5803, 7067, 9269, 1512, 6587, 5897, 8695, 4975, 8891, 4520, 7424, 957, 8071, 1095, 9171, 1575, 937, 3390, 8120, 3055, 7607, 4190, 6008, 2839, 5755, 5002, 7695, 2489, 807, 3486, 3445, 3245, 6470, 6260, 8034, 4412, 4195, 4310, 1104, 3042, 9310, 5262, 2532, 4871, 7316, 4555, 3353, 5860, 8833, 5053, 5146, 8556, 7916, 1838, 8423, 5088, 4842, 3541, 1595, 1557, 4746, 5987, 2128, 5557, 6140, 8530, 8860, 5413, 4936, 1864, 3147, 2185, 5768, 3652, 574, 5361, 95, 6968, 6710, 6240, 8305, 4286, 7399, 754, 487, 8479, 1560, 4293, 5642, 2713, 1739, 913, 436, 7407, 9076, 569, 2466, 7999, 5108, 6558, 3456, 7520, 31, 6608, 4574, 8731, 2094, 5281, 788, 8679, 6388, 545, 5472, 7340, 9354, 4484, 2320, 9917, 8632, 1620, 2764, 6049, 7271, 9117, 9954, 8235, 3514, 449, 7639, 9409, 1401, 6653, 4223, 2853, 5396, 8615, 8849, 7701, 8388, 9313, 3256, 4477, 4551, 8066, 1850, 8290, 5481, 1663, 8862, 1098, 7853, 4733, 892, 4106, 7872, 4470, 5457, 8722, 9763, 6761, 8839, 181, 6246, 8903, 8803, 2989, 736, 8503, 1460, 757, 9851, 5028, 3666, 6656, 479, 6843, 5945, 5424, 2660, 1962, 5039, 9489, 3807, 6435, 5706, 3787, 8371, 2143, 9846, 8086, 1994, 7383, 2058, 5174, 7248, 8926, 1828, 2148, 4664, 9753, 4135, 5163, 9693, 3051, 450, 3200, 3922, 5299, 789, 945, 5221, 4629, 7888, 3842, 2292, 66, 7062, 8639, 4276, 5009, 8329, 2121, 6076, 2021, 4288, 5404, 278, 8274, 4861, 3309, 287, 9957, 6629, 5631, 1052, 8617, 7654, 7884, 3201, 5689, 2187, 3372, 3341, 8264, 8232, 2648, 3606, 5533, 5498, 183, 7476, 3833, 3067, 1822, 2554, 3903, 2347, 7678, 6126, 2003, 8578, 5729, 176, 1326, 6959, 9132, 9355, 6628, 2999, 947, 7276, 1660, 7439, 7997, 8551, 218, 2043, 3446, 8064, 7804, 5076, 8387, 3777, 3547, 4192, 3667, 7475, 9247, 4535, 122, 3197, 1030, 2694, 1851, 9243, 1058, 5859, 2120, 1697, 6374, 5512, 7852, 5353, 9966, 6267, 3498, 9359, 6865, 5222, 8195, 4575, 2809, 3716, 3784, 5666, 6737, 4572, 5900, 5154, 6030, 1290, 461, 7081, 7355, 4315, 8831, 1094, 6617, 2062, 9235, 2522, 8933, 963, 4128, 2789, 1149, 8934, 5091, 6856, 261, 2793, 6609, 8721, 7920, 2947, 5425, 8509, 8022, 9956, 3897, 8299, 3096, 128, 8540, 3739, 5388, 1801, 5491, 5047, 6638, 8808, 2158, 2265, 3535, 5123, 2001, 496, 9219, 9867, 6078, 3493, 1394, 4849, 3625, 2700, 8365, 7214, 1405, 868, 6938, 6296, 5861, 1221, 5447, 5106, 9448, 8492, 1049, 5794, 4064, 5744, 4169, 6200, 4365, 8092, 1980, 5352, 7964, 2545, 1158, 3785, 3506, 2746, 9634, 3291, 724, 30, 3542, 7128, 8000, 1180, 7006, 7614, 1203, 1759, 3331, 4915, 9294, 8025, 1688, 8002, 2450, 6080, 6094, 4140, 3665, 9149, 4941, 5026, 7532, 5796, 6917, 5250, 6318, 2484, 886, 5042, 9788, 8409, 7124, 5459, 308, 5097, 1799, 1352, 2585, 8672, 1217, 1389, 1532, 3701, 1859, 5790, 3938, 6400, 2777, 60, 5062, 7463, 8321, 243, 9103, 2685, 2207, 8240, 6186, 7981, 8564, 962, 2073, 4383, 3344, 5805, 8605, 3401, 776, 6107, 4154, 6504, 4685, 4420, 9323, 8518, 1082, 9865, 4396, 5017, 7776, 9645, 6146, 8893, 6572, 8896, 1045, 2464, 2233, 8468, 8577, 9740, 6291, 1769, 6429, 4400, 7877, 4732, 4498, 3181, 4829, 8678, 2848, 3086, 4939, 6298, 4748, 7982, 620, 1866, 2419, 530, 6840, 7115, 7283, 2171, 5703, 6385, 9626, 4888, 5946, 5208, 6448, 1622, 7492, 3933, 4363, 5788, 9961, 3890, 6294, 4296, 9237, 4217, 704, 513, 1086, 8044, 9518, 8953, 4992, 9987, 5347, 65, 971, 1877, 6065, 9305, 2274, 5167, 3927, 2734, 4972, 3867, 2979, 75, 7135, 1765, 1236, 3223, 1279, 5605, 8894, 4385, 98, 146, 5136, 2098, 9362, 8090, 8513, 9934, 1554, 3562, 7990, 4874, 9914, 2236, 3264, 8380, 3545, 8413, 6066, 5287, 5651, 8716, 2209, 9860, 6776, 6908, 1009, 8910, 6748, 2032, 8474, 588, 8488, 6914, 5671, 595, 9352, 9751, 5650, 1517, 526, 6393, 8036, 2049, 7494, 5098, 3068, 1336, 9403, 6075, 6528, 3174, 9891, 1018, 9096, 792, 2826, 5832, 6301, 6206, 8572, 284, 3640, 508, 7499, 3642, 3183, 6703, 6878, 1378, 3213, 3394, 9908, 3960, 1906, 5077, 5165, 4680, 5215, 1628, 298, 2272, 8125, 652, 5368, 5919, 8271, 8075, 8281, 9282, 6329, 4877, 2288, 5406, 6735, 4962, 7032, 360, 3968, 4570, 1779, 6461, 6882, 3554, 3177, 291, 5600, 6173, 5806, 9573, 1034, 6364, 5544, 2525, 5376, 7649, 1229, 9444, 4403, 801, 1715, 3532, 7141, 9371, 4330, 1704, 1256, 6072, 9650, 2125, 1878, 5455, 4876, 5976, 7015, 9164, 883, 8349, 4422, 3632, 1450, 9223, 8364, 8116, 8875, 2480, 3567, 6483, 3195, 1607, 6487, 4532, 3962, 3851, 9616, 9321, 1004, 5927, 6793, 8450, 1603, 855, 1280, 665, 7454, 4427, 6682, 7681, 2022, 158, 9883, 4139, 1820, 1890, 7842, 9059, 4593, 5901, 1494, 2110, 5690, 5188, 7056, 4175, 79, 2978, 2379, 1284, 8185, 8261, 1871, 682, 4930, 7289, 2993, 8295, 1022, 4269, 1579, 2621, 7823, 2343, 7840, 3670, 6380, 9421, 3663, 6948, 5291, 39, 9868, 4708, 2892, 7269, 2199, 3771, 6678, 250, 2378, 8554, 3165, 6525, 3255, 9180, 5883, 1257, 5440, 2090, 8685, 8173, 8469, 5934, 5030, 2885, 1764, 8681, 1908, 3645, 2241, 8379, 7507, 2763, 6897, 9639, 7038, 8273, 1273, 4604, 3587, 6159, 4925, 2407, 5261, 3556, 5697, 5582, 5924, 1535, 8193, 5268, 8049, 8747, 6425, 9279, 977, 7075, 1126, 8609, 4953, 3634, 8581, 8310, 7444, 5466, 9915, 6620, 5486, 3646, 7203, 2451, 1713, 1147, 5633, 282, 890, 9251, 1134, 5086, 3705, 1425, 1667, 3768, 8987, 4277, 600, 9837, 2835, 8791, 9705, 953, 5511, 7865, 1139, 3472, 2642, 7216, 6266, 389, 7260, 8732, 6014, 4687, 7068, 5383, 4881, 8414, 4158, 9970, 8369, 8265, 2728, 7277, 7066, 9045, 674, 5022, 3873, 8346, 1297, 3946, 6035, 3031, 4914, 502, 297, 1735, 2355, 7953, 5545, 4561, 2920, 3782, 4302, 2144, 9592, 5534, 2880, 6723, 5586, 8871, 1473, 4844, 9377, 6872, 8622, 8052, 5840, 9455, 1317, 7605, 9741, 7343, 1151, 3887, 2735, 7196, 7778, 7724, 7617, 8216, 4644, 187, 3161, 5612, 4804, 1136, 7299, 8039, 7998, 2068, 6343, 9711, 5891, 1054, 2429, 4657, 1145, 6231, 1511, 3615, 1720, 7761, 6508, 4762, 7268, 6517, 8640, 4421, 1638, 9726, 4028, 6445, 2249, 1402, 3061, 7548, 6137, 8599, 3695, 109, 9574, 7730, 7846, 9555, 6116, 306, 4880, 1490, 4143, 9909, 1227, 9486, 1409, 5695, 1088, 2173, 6480, 5012, 9088, 6093, 2874, 3108, 6561, 2613, 8823, 3628, 5071, 3992, 5125, 5999, 5810, 9564, 5519, 3355, 1912, 5054, 505, 406, 809, 8198, 8864, 9390, 3673, 9941, 4816, 463, 8989, 9595, 8378, 2181, 1101, 153, 3397, 640, 8897, 1533, 4542, 133, 3714, 8799, 1768, 7912, 3704, 9190, 392, 9543, 9696, 9502, 5159, 643, 4661, 2687, 9683, 708, 8675, 5665, 1984, 7949, 3513, 8990, 3746, 1945, 8567, 1263, 1546, 50, 3296, 986, 8145, 8795, 8954, 5180, 5944, 1502, 2332, 7589, 9414, 377, 2802, 2744, 7779, 2651, 7619, 2869, 6455, 5316, 281, 5049, 6589, 4886, 2684, 1875, 901, 2202, 1137, 2130, 486, 678, 6181, 7928, 5464, 634, 5869, 2649, 3035, 1495, 3134, 6811, 1305, 3282, 1612, 4318, 3836, 5392, 3774, 2204, 785, 8131, 2473, 5041, 8100, 3396, 3559, 472, 8508, 5815, 5617, 6542, 5653, 3212, 3500, 7233, 8177, 8585, 9700, 8077, 7065, 9291, 4807, 9419, 7007, 8930, 2067, 2732, 2091, 426, 4530, 4298, 7856, 4767, 4043, 342, 3192, 603, 7309, 9568, 4347, 3636, 1882, 2494, 4273, 5099, 5176, 8758, 2162, 7942, 3178, 3947, 4569, 1038, 6410, 2511, 5837, 1625, 1037, 3726, 1107, 3661, 8865, 8027, 7240, 8635, 2953, 6292, 3383, 5006, 4255, 4370, 6452, 7183, 5324, 5083, 8385, 647, 4796, 2015, 3809, 5565, 4399, 9041, 9192, 6935, 5554, 2242, 969, 6000, 3818, 8696, 5169, 339, 9848, 447, 5627, 5177, 4899, 7414, 9040, 3235, 2633, 9597, 1373, 47, 5080, 4834, 5893, 8354, 6481, 2895, 5819, 1499, 3538, 6593, 58, 8545, 7989, 5818, 8498, 6681, 9169, 4906, 7482, 9795, 5620, 3876, 3589, 8487, 3877, 4162, 6855, 9687, 6743, 7602, 6158, 6015, 2781, 7308, 7253, 9746, 1731, 3106, 6509, 3151, 1925, 5849, 3132, 6803, 4081, 1672, 5753, 1559, 1010, 8481, 3308, 7655, 1910, 1150, 5075, 112, 3248, 8793, 3270, 805, 8560, 116, 1613, 4200, 7373, 2487, 9899, 8510, 8018, 3323, 6248, 3362, 512, 9091, 7132, 4051, 2629, 7172, 390, 1919, 9413, 8821, 597, 4075, 7129, 9749, 864, 7994, 2996, 4609, 7611, 8537, 3307, 8467, 5659, 8611, 3013, 3750, 7671, 2632, 9826, 9252, 1035, 5089, 1812, 9338, 7290, 905, 4035, 6408, 4869, 7486, 5428, 771, 2485, 6439, 8637, 8135, 9810, 2974, 5124, 2644, 8438, 6949, 6129, 5741, 2222, 5045, 3265, 7788, 8099, 421, 2353, 3537, 9618, 6164 ], [ 5379, 5628, 3687, 9819, 842, 9302, 80, 6479, 8797, 7923, 1685, 228, 7493, 9712, 4137, 5725, 6009, 8712, 7366, 2730, 4903, 8462, 5419, 4898, 8782, 1420, 6996, 6997, 8877, 1152, 5856, 3252, 2434, 3422, 8236, 1744, 6406, 3193, 140, 1062, 3337, 1811, 203, 2396, 2454, 2462, 8028, 5201, 7525, 7310, 4248, 2467, 1434, 5277, 1454, 4201, 5503, 494, 3052, 8881, 3120, 9423, 3058, 445, 3893, 4813, 1210, 7835, 9277, 803, 5162, 9288, 3519, 733, 4760, 7625, 92, 3832, 1175, 9802, 1259, 8742, 6925, 7758, 8334, 7223, 6740, 5973, 4194, 3502, 7173, 2695, 5094, 1763, 6890, 9854, 8683, 9336, 9075, 936, 2518, 1742, 7405, 2491, 2542, 1418, 5129, 3320, 9880, 3593, 2448, 1803, 3230, 7274, 879, 7021, 1523, 3604, 637, 1550, 4863, 4283, 8033, 2323, 2035, 7258, 8205, 9921, 9808, 6446, 6350, 3725, 3184, 6468, 659, 1589, 3069, 9981, 1304, 1003, 9420, 7592, 4090, 7364, 2600, 127, 6545, 4549, 9194, 3209, 3064, 300, 3693, 826, 4538, 2774, 8163, 5168, 3392, 7174, 4564, 7929, 2705, 6322, 2759, 2610, 5773, 8473, 9685, 3101, 2311, 5547, 9332, 4246, 507, 5238, 6302, 8780, 1955, 2745, 1723, 6033, 9577, 5245, 6721, 8756, 2643, 9046, 3721, 5423, 500, 7793, 7734, 6665, 4613, 3956, 3395, 6185, 2555, 4086, 6475, 7894, 1567, 9083, 1785, 8625, 9560, 1860, 601, 5525, 8172, 565, 5473, 3219, 9067, 4692, 6637, 171, 1198, 1726, 5970, 8666, 9507, 6457, 746, 4607, 2399, 1489, 2919, 3524, 2815, 9003, 329, 7164, 1340, 7934, 4364, 1767, 2868, 3821, 4084, 1385, 6320, 7130, 1339, 3934, 8278, 5319, 8208, 1301, 27, 9475, 9858, 2435, 9528, 2070, 5341, 8711, 1608, 7652, 4585, 6, 3935, 8170, 4239, 8507, 2408, 9508, 4600, 8103, 1692, 7669, 4381, 6670, 6770, 6648, 4640, 4186, 7192, 9412, 5776, 4451, 7534, 877, 8724, 6669, 5841, 9020, 6838, 6503, 9289, 6602, 4521, 8211, 6879, 7153, 2290, 599, 9079, 9772, 8909, 411, 6971, 2164, 9944, 5286, 93, 4441, 7197, 2126, 8188, 8688, 9470, 7511, 7737, 4352, 5263, 1725, 5798, 3805, 6787, 6731, 6259, 2913, 9750, 1154, 9175, 2301, 1548, 5956, 9830, 9999, 2009, 4050, 131, 1040, 5732, 1965, 6132, 8985, 5672, 5216, 2194, 7440, 1157, 6238, 6022, 141, 1791, 1344, 8949, 9811, 9137, 6822, 4455, 5103, 4993, 3752, 5595, 8303, 7375, 7379, 2786, 3585, 7931, 981, 3974, 6063, 3425, 5953, 5389, 1396, 8906, 5646, 8686, 9114, 4361, 4213, 4786, 7703, 1839, 9353, 2857, 9834, 8258, 2177, 9198, 4159, 1705, 4210, 7636, 5886, 4291, 2206, 621, 9951, 4659, 4241, 8132, 9875, 7722, 5845, 7195, 2615, 2719, 702, 1683, 4094, 9221, 6024, 4516, 5538, 4320, 5195, 4741, 7212, 9818, 2847, 857, 9719, 6414, 4065, 4938, 6982, 8822, 3761, 3413, 6774, 3824, 1978, 8761, 5799, 4382, 6911, 4031, 238, 2873, 8736, 6984, 6243, 4742, 6332, 4271, 9346, 3957, 9097, 1627, 2492, 6389, 3507, 5576, 2476, 1413, 6958, 2717, 8870, 5265, 4340, 7508, 2076, 3237, 7799, 6712, 3225, 5747, 4965, 1911, 3915, 1247, 5518, 4821, 6636, 4220, 7191, 3565, 4481, 590, 3121, 4935, 7913, 21, 4647, 2614, 5011, 3830, 2799, 9433, 9319, 6017, 8827, 5204, 6713, 3333, 1243, 6573, 7502, 1435, 2123, 8411, 2398, 9069, 8454, 9265, 9541, 6040, 7469, 553, 5591, 8720, 9988, 8801, 2324, 2887, 5380, 6384, 1508, 4272, 7976, 2859, 8222, 1808, 4523, 4500, 7368, 3943, 1570, 1863, 5520, 9402, 7187, 1268, 1807, 6773, 9140, 9254, 9571, 684, 503, 2250, 8123, 7288, 8936, 9761, 2483, 9286, 7720, 607, 2036, 5680, 4211, 8490, 3829, 9200, 707, 5971, 5888, 680, 7147, 587, 558, 4853, 4864, 6363, 7452, 804, 533, 1784, 944, 5629, 7265, 5193, 1737, 6431, 3216, 8918, 7297, 7152, 9593, 6492, 5448, 8243, 6610, 982, 2040, 3751, 3172, 9519, 8810, 7459, 7518, 825, 90, 6444, 8042, 8004, 8165, 2475, 8553, 9024, 7487, 3976, 429, 536, 1282, 5178, 2463, 4463, 4163, 3973, 6486, 3546, 9011, 1048, 1085, 1829, 2692, 4172, 2432, 8571, 5470, 4033, 6691, 1258, 2180, 8119, 1507, 2894, 5496, 4290, 8230, 7506, 332, 4144, 7091, 5942, 1727, 7955, 4284, 1187, 9163, 4966, 7356, 9212, 1219, 6115, 7106, 5889, 1947, 3012, 6476, 919, 4322, 9704, 5133, 1102, 1083, 8861, 7390, 2287, 6351, 1334, 4060, 7969, 4999, 7025, 7980, 6918, 1497, 9161, 5748, 8445, 3820, 5749, 8220, 2851, 3186, 822, 7958, 835, 9428, 1724, 6726, 8008, 6764, 9025, 1787, 4808, 5867, 3133, 3471, 9757, 1649, 3114, 8309, 2104, 277, 612, 7684, 4676, 6018, 4713, 3639, 602, 3427, 7156, 4617, 2573, 7456, 2727, 180, 482, 9233, 897, 1656, 7628, 6730, 9836, 5527, 9026, 566, 6733, 8623, 8872, 6634, 6228, 1778, 1278, 846, 5847, 6560, 2039, 1485, 3598, 9072, 5948, 5974, 4510, 1121, 3780, 316, 3840, 4704, 8542, 8664, 1199, 1771, 7359, 9456, 2106, 4490, 9872, 7029, 6176, 2762, 1973, 3518, 3198, 8863, 4358, 5351, 410, 1266, 3928, 4797, 2340, 5745, 8741, 3348, 7658, 4781, 874, 6964, 1710, 5488, 9113, 7451, 2506, 2375, 9631, 6760, 1530, 5468, 9708, 3482, 1383, 582, 9043, 3205, 2166, 1614, 6511, 7158, 2579, 9805, 1893, 5594, 7974, 7571, 382, 987, 1481, 3936, 5535, 6426, 6147, 2122, 4784, 3036, 33, 2729, 3233, 5809, 9497, 1852, 3549, 528, 6411, 8834, 4933, 7242, 9084, 4682, 8576, 3414, 787, 1937, 1308, 279, 2316, 9047, 2963, 6111, 800, 5982, 5184, 5081, 1096, 3079, 8055, 1998, 5986, 6854, 8493, 7462, 2710, 8355, 4672, 4745, 1492, 488, 4630, 2468, 3648, 7085, 491, 8800, 3330, 5685, 3194, 273, 5315, 7850, 312, 9317, 3433, 6051, 6310, 3643, 1815, 8434, 7545, 4505, 3815, 5552, 383, 4053, 9366, 5826, 143, 7715, 7830, 4942, 7510, 8352, 8915, 4540, 5475, 1424, 1272, 3550, 9179, 4589, 8586, 7700, 3188, 201, 7529, 6546, 7952, 6488, 4130, 1127, 3313, 8006, 4265, 9415, 8314, 7434, 3765, 1051, 3816, 7791, 8072, 7471, 1117, 5585, 9156, 9892, 4885, 2478, 2925, 5566, 2390, 9129, 6244, 7977, 205, 3797, 4954, 3024, 4171, 1526, 8223, 6683, 2092, 5385, 2748, 1986, 9449, 8945, 5587, 5035, 9948, 4755, 2224, 9651, 861, 8885, 8805, 7896, 9698, 6077, 4835, 188, 1342, 1637, 8126, 2386, 403, 1780, 2817, 365, 8196, 4511, 1376, 4026, 2688, 2766, 4706, 8998, 8825, 7229, 1153, 9272, 9032, 1392, 1016, 6055, 3592, 8262, 1067, 848, 4278, 4656, 4495, 9831, 4945, 8900, 5228, 8384, 3831, 9049, 8941, 7574, 7845, 7465, 8738, 7402, 8302, 556, 2225, 6236, 2563, 4686, 2769, 7538, 2584, 6639, 7401, 2598, 266, 7524, 723, 3310, 2014, 9052, 8403, 1468, 4467, 6622, 6223, 6686, 5230, 1609, 4811, 5257, 2736, 5593, 6323, 8393, 7653, 2968, 6119, 9142, 3258, 594, 9905, 1958, 9463, 405, 4709, 5414, 9690, 6579, 5278, 2061, 7411, 3266, 8047, 6071, 6750, 386, 5272, 6149, 3866, 2296, 4351, 5037, 7540, 4928, 5975, 3534, 2603, 8155, 1012, 3698, 6188, 2329, 2497, 6631, 661, 671, 975, 328, 9791, 9647, 6851, 710, 2174, 2962, 5467, 2211, 6664, 7161, 7914, 4037, 6889, 3389, 4754, 1031, 8315, 8087, 4197, 9199, 7481, 1707, 1611, 3345, 8253, 2312, 7028, 7193, 5209, 2593, 231, 4469, 2131, 9985, 335, 1842, 9930, 7627, 9145, 3619, 4623, 3319, 9322, 6520, 413, 455, 9994, 294, 2416, 7643, 8345, 9048, 97, 125, 5863, 2304, 4395, 2855, 3437, 4034, 4872, 6209, 7270, 2243, 391, 1816, 2609, 3790, 687, 4391, 4022, 5115, 9036, 1498, 4449, 4854, 942, 2421, 458, 5562, 7547, 6382, 4355, 5365, 8616, 8655, 2486, 8197, 193, 2750, 6290, 2334, 5469, 1849, 9118, 3299, 3806, 2050, 8811, 1658, 3847, 8965, 8750, 1438, 136, 1209, 3408, 4850, 1116, 3908, 7026, 767, 3202, 3083, 7763, 8449, 3277, 8178, 6672, 881, 7479, 6353, 2795, 4354, 3481, 7582, 28, 5555, 1353, 4452, 8729, 1867, 8961, 1132, 2165, 9575, 8338, 2820, 6769, 4141, 6647, 3227, 2495, 5301, 5894, 7815, 701, 1586, 6719, 7425, 2395, 7008, 7389, 2361, 8175, 4571, 3899, 4670, 929, 2493, 4240, 3424, 3862, 991, 1474, 4848, 2147, 2268, 7563, 8085, 4105, 4638, 1444, 5561, 8396, 3280, 3346, 1772, 6443, 6498, 814, 1023, 1872, 7398, 8091, 4466, 4969, 9500, 6196, 995, 9654, 9950, 1002, 4497, 3591, 8189, 22, 6523, 1208, 7080, 6995, 8665, 8097, 9664, 2915, 3146, 6083, 1283, 5618, 6070, 6465, 9893, 3322, 8603, 357, 4179, 2297, 9485, 1646, 1626, 1348, 6178, 1751, 5743, 6165, 7905, 5138, 4039, 4010, 8425, 3560, 2738, 1701, 9228, 3576, 1214, 8815, 9442, 2417, 4782, 2351, 758, 1286, 1140, 8247, 7714, 8659, 8652, 5608, 6497, 8904, 4160, 8331, 6728, 2102, 8844, 1836, 551, 1794, 404, 7910, 9368, 5501, 9882, 5807, 8074, 6626, 1883, 4207, 2339, 3975, 4870, 1847, 6117, 4360, 8866, 6952, 4247, 2388, 6100, 7800, 1696, 1743, 918, 347, 6156, 7126, 6544, 4626, 5142, 749, 6928, 7243, 6368, 4958, 8916, 6916, 525, 4142, 5302, 5234, 1988, 4764, 7869, 2574, 9778, 1355, 1000, 4359, 9185, 838, 5069, 794, 5200, 5158, 1322, 3584, 6567, 3010, 9522, 4833, 6896, 5636, 6311, 6943, 7222, 5134, 3553, 6253, 9201, 6611, 7597, 2028, 6428, 2911, 9769, 4133, 5044, 9391, 2075, 8032, 2016, 581, 6885, 9363, 589, 8919, 4091, 3982, 1954, 7960, 8515, 4341, 9537, 5607, 53, 36, 113, 5244, 3179, 9325, 1582, 2140, 7631, 8749, 1349, 5907, 6932, 9074, 9381, 5366, 4429, 8538, 6277, 3504, 3303, 7509, 2538, 8710, 57, 3989, 7125, 9686, 1563, 8448, 655, 7818, 9641, 2278, 2580, 9828, 999, 7973, 6092, 2804, 5013, 932, 4078, 5173, 9183, 8494, 5702, 442, 5038, 2954, 5521, 8478, 1335, 8561, 8908, 2594, 5282, 3217, 6054, 5309, 5269, 8687, 6286, 3250, 9385, 5589, 7022, 3539, 4256, 5063, 7675, 7005, 4016, 4, 8037, 6960, 2882, 9646, 8444, 8959, 9881, 6834, 3176, 2044, 5214, 9579, 933, 3969, 6121, 1741, 3690, 2896, 1624, 5219, 4428, 2041, 4883, 985, 7160, 8836, 4700, 5375, 208, 2248, 7859, 3352, 5442, 7947, 1682, 3570, 4018, 2569, 9722, 8806, 5114, 3857, 681, 1694, 9159, 9660, 2652, 9822, 7450, 4905, 5910, 2876, 7146, 9588, 2590, 6739, 7027, 7831, 5766, 8050, 6612, 4019, 3311, 1938, 9249, 4980, 7314, 6603, 4971, 7688, 8717, 8964, 5090, 5637, 3242, 8668, 1133, 3269, 5895, 8460, 6031, 4908, 4537, 1224, 5949, 4261, 3145, 5868, 2112, 3109, 1320, 24, 2280, 8854, 9781, 3702, 3561, 2866, 1949, 4356, 5339, 4721, 3822, 4004, 3711, 7237, 6403, 4739, 9002, 6405, 108, 8254, 3979, 766, 1666, 2303, 1338, 8796, 6853, 1841, 575, 6221, 7406, 5155, 8431, 4068, 2105, 5349, 7417, 4067, 3597, 8947, 9929, 3568, 8550, 833, 6118, 5122, 7232, 1671, 54, 6463, 3637, 7674, 2783, 7961, 1934, 3972, 9982, 1642, 8531, 9636, 4021, 9326, 211, 4528, 8332, 1486, 9729, 604, 8182, 5756, 3356, 6101, 17, 5227, 1979, 1506, 3276, 1458, 6841, 9425, 2412, 2257, 4116, 8249, 7526, 3041, 5182, 5621, 4951, 1143, 3952, 4287, 6668, 6597, 8161, 2849, 2029, 7707, 4362, 8324, 1522, 2234, 7394, 4545, 3484, 7003, 4417, 338, 1423, 2045, 2215, 8312, 3914, 7168, 7105, 2401, 5687, 9827, 43, 2599, 5614, 9776, 3229, 3349, 4492, 3844, 3558, 374, 6215, 3703, 4386, 9635, 9438, 9029, 3678, 6341, 3569, 4152, 6532, 5170, 2836, 4074, 1093, 254, 6548, 8446, 9534, 5381, 1534, 3861, 7426, 6183, 3220, 6702, 9350, 8814, 6871, 4375, 4457, 5495, 6306, 4401, 6810, 5844, 4769, 8263, 7887, 6212, 8367, 7646, 1100, 7302, 1566, 76, 5611, 2221, 3080, 1702, 6690, 5270, 4394, 5613, 150, 4482, 5386, 7345, 6086, 3334, 7718, 2534, 7516, 6588, 5736, 7667, 7704, 4148, 7266, 2048, 4725, 1670, 3839, 2516, 4851, 8995, 2504, 4311, 8979, 1805, 9349, 2498, 580, 8137, 1677, 5896, 4478, 4041, 4465, 6994, 4204, 534, 5771, 1056, 9663, 8938, 5775, 4620, 7606, 5444, 4236, 5746, 6972, 7074, 8883, 2812, 3054, 8922, 7385, 1293, 2597, 2413, 7767, 6756, 202, 8166, 118, 1472, 4779, 9702, 1113, 7515, 8618, 4527, 6563, 4292, 2138, 8291, 3449, 1916, 4892, 625, 163, 5191, 6607, 6205, 3724, 9793, 5350, 1135, 2701, 6213, 6921, 114, 3891, 7159, 9337, 3740, 9835, 5664, 6652, 1172, 4794, 4747, 866, 3377, 8433, 6252, 8171, 2969, 1351, 1845, 3119, 1367, 727, 6870, 8826, 5187, 1664, 9348, 8206, 1315, 8019, 3635, 8458, 8867, 8313, 2706, 8911, 4852, 20, 5402, 6661, 1505, 6775, 5318, 6019, 6459, 8851, 6297, 6163, 6640, 2066, 471, 6900, 452, 3156, 7295, 2509, 7697, 3489, 5928, 9479, 7519, 4187, 1343, 1398, 8058, 4509, 7593, 1128, 3734, 62, 8009, 5824, 1171, 3684, 778, 6308, 3713, 4285, 4819, 5678, 2726, 5354, 3281, 4433, 2811, 8266, 2007, 4405, 4531, 9652, 6131, 5899, 1585, 9677, 481, 2423, 8627, 4070, 1674, 1729, 7138, 8662, 5259, 6203, 5598, 4251, 5460, 301, 9407, 3039, 5306, 4167, 5232, 1544, 6068, 3808, 5734, 7699, 1484, 3850, 6276, 3159, 4882, 4228, 1055, 941, 7199, 7579, 7430, 9748, 8426, 7775, 2617, 9016, 6472, 3107, 9825, 3038, 4020, 3285, 3305, 2715, 1823, 8879, 3516, 3434, 7431, 5020, 571, 3948, 2757, 431, 9730, 954, 7874, 7802, 4329, 8784, 5675, 8787, 9369, 2964, 2844, 4181, 6827, 4306, 2602, 3244, 4878, 5772, 5822, 3552, 9392, 7127, 3564, 9010, 8497, 8251, 2923, 3686, 378, 7962 ], [ 8215, 5140, 6553, 8203, 132, 5489, 4309, 3453, 3509, 61, 5583, 9745, 6781, 831, 5634, 9170, 2405, 6039, 3144, 802, 1819, 7111, 5682, 8060, 8739, 2636, 8015, 3764, 9533, 223, 1261, 1089, 5288, 7803, 1861, 6274, 9801, 8976, 4689, 289, 111, 6397, 1319, 4337, 2950, 4592, 8390, 908, 2877, 5930, 2995, 7616, 777, 8204, 8765, 4111, 2607, 8924, 7151, 5827, 1182, 9548, 6484, 6412, 8031, 2156, 617, 2668, 8121, 1251, 9378, 5639, 3180, 8723, 8405, 1024, 2470, 7938, 2264, 5384, 363, 1634, 7016, 9495, 387, 2433, 1862, 844, 9607, 1858, 3328, 2368, 4681, 737, 2004, 549, 7659, 2943, 2790, 3315, 9906, 7033, 499, 696, 1417, 6695, 4752, 956, 9417, 8970, 2459, 2707, 6491, 9374, 4947, 5691, 8279, 4479, 2392, 6910, 9680, 8323, 515, 4506, 305, 2374, 5279, 1302, 2768, 1007, 2985, 1439, 8496, 3385, 3441, 4036, 5338, 2184, 7017, 8183, 8067, 4439, 5249, 3416, 5258, 6125, 9857, 4127, 4092, 950, 3490, 2550, 7077, 940, 6344, 6293, 437, 8718, 8982, 5151, 1464, 9759, 716, 6584, 2903, 2231, 9949, 6559, 5252, 719, 5903, 1419, 1296, 9863, 8480, 8670, 2948, 3964, 4943, 1889, 9077, 1281, 5890, 7764, 5001, 5506, 2543, 4736, 2659, 993, 5719, 5784, 8951, 6614, 6419, 7326, 8017, 5546, 1598, 2381, 3651, 4690, 9364, 7114, 5584, 7749, 7702, 8781, 6489, 2819, 6148, 5812, 9563, 1669, 2474, 2354, 5879, 7880, 6454, 3896, 4260, 6596, 9799, 1703, 7641, 5588, 3994, 6820, 2063, 6632, 8541, 7311, 5751, 8360, 9100, 6133, 7103, 9068, 5609, 8692, 4456, 7230, 3421, 9173, 6345, 2533, 7009, 3207, 7890, 1250, 9877, 1357, 9627, 1630, 3365, 7275, 9968, 9157, 2168, 3218, 5652, 9123, 3094, 5619, 4918, 5698, 2556, 42, 6939, 2192, 9538, 239, 5952, 6227, 994, 7010, 1970, 8774, 4865, 9033, 5958, 948, 7622, 3825, 8138, 1159, 4334, 6250, 593, 629, 4230, 7975, 4802, 4907, 7792, 4480, 6334, 8751, 887, 965, 6965, 2445, 1130, 544, 1108, 2959, 2535, 7184, 1766, 4185, 6598, 6978, 7298, 9271, 9126, 401, 9245, 5913, 7796, 2921, 2587, 763, 3993, 6211, 5317, 2443, 7446, 5058, 4595, 1711, 2282, 2034, 8984, 6794, 3406, 9206, 8441, 6742, 7559, 1462, 2449, 7930, 3970, 8357, 6192, 5411, 3608, 720, 5765, 554, 3557, 4224, 9280, 7821, 2720, 8296, 2981, 5323, 1226, 2570, 7741, 7400, 1426, 4823, 2957, 4720, 5918, 4450, 9057, 3613, 9134, 3162, 2676, 2625, 7580, 2018, 915, 7339, 6399, 2674, 4891, 3007, 2508, 3950, 5387, 6862, 7369, 9311, 4189, 7131, 7004, 1446, 1252, 8053, 1403, 7335, 2145, 9329, 6359, 8228, 1255, 6780, 7380, 5616, 3853, 4651, 9644, 5795, 2010, 2702, 9841, 3977, 484, 9264, 6316, 1940, 8101, 4711, 6404, 3091, 4173, 795, 154, 5705, 7466, 9989, 4262, 1071, 5036, 9796, 3696, 9081, 384, 1529, 7798, 6218, 87, 6044, 1043, 1717, 3097, 3187, 8013, 9035, 8336, 4968, 6595, 9065, 4219, 2862, 7857, 8775, 9806, 1329, 4699, 8373, 5096, 5266, 7843, 851, 2870, 6700, 996, 8558, 3980, 8328, 4005, 8308, 397, 1520, 563, 8370, 268, 3314, 242, 5774, 9601, 9492, 4879, 5914, 7808, 4332, 1503, 8256, 3580, 2074, 1501, 70, 1817, 5997, 927, 1989, 3814, 7331, 8994, 9257, 841, 5329, 636, 9121, 5801, 9718, 4950, 8040, 1074, 6727, 4476, 7361, 9253, 824, 6594, 1896, 6045, 3312, 4280, 2276, 4307, 6005, 8759, 49, 7057, 2703, 3674, 3920, 6880, 6273, 7824, 1775, 4009, 6422, 2161, 322, 7108, 9523, 5793, 2118, 645, 9441, 8147, 2213, 8, 1673, 6515, 606, 6299, 3775, 1915, 7670, 3781, 6001, 3289, 4998, 4985, 4836, 3428, 2838, 7553, 4017, 4155, 4857, 9125, 1848, 7759, 5330, 5116, 267, 3942, 5848, 5955, 4728, 4499, 7122, 8845, 2879, 1813, 5850, 9304, 1922, 173, 5331, 3578, 2900, 3985, 7140, 7442, 3588, 3941, 8417, 7332, 1271, 1957, 6042, 1599, 6189, 1307, 1131, 7753, 8348, 2778, 6300, 2285, 8660, 6499, 251, 7583, 5274, 5791, 6847, 504, 1358, 167, 5436, 670, 2808, 3987, 270, 3864, 5482, 1734, 979, 5539, 4431, 5430, 2669, 6415, 3600, 8846, 7673, 968, 2664, 7018, 1573, 628, 8029, 2916, 2425, 1384, 1275, 690, 8557, 3426, 4952, 7640, 1332, 5937, 7921, 9021, 5938, 703, 5236, 1926, 3543, 7001, 8065, 6534, 2499, 9296, 9862, 7965, 9617, 1477, 6142, 3298, 4316, 179, 5336, 427, 8095, 5117, 3155, 5135, 8301, 2440, 3053, 9878, 459, 4763, 7171, 5989, 7747, 5435, 7630, 3880, 4900, 2059, 2235, 1623, 1029, 5935, 4208, 3476, 3073, 9461, 8361, 3672, 7587, 6980, 9380, 3295, 717, 9907, 5802, 8057, 6220, 1761, 6383, 8573, 2622, 124, 1455, 2263, 319, 1712, 3638, 9089, 1368, 1635, 7662, 7386, 7600, 1144, 5085, 1833, 5328, 7642, 5932, 2246, 4321, 4778, 145, 7070, 5202, 1277, 7097, 1619, 3292, 1558, 1913, 4673, 7576, 8199, 9411, 7966, 6788, 930, 1594, 8363, 7517, 7820, 6062, 1665, 2455, 3745, 2626, 6521, 662, 8451, 8012, 7573, 5112, 6036, 1783, 194, 3762, 9063, 6522, 3802, 4539, 2500, 4408, 5237, 5061, 2283, 3497, 1028, 5531, 4193, 5709, 3786, 2088, 8943, 2517, 6630, 2871, 7397, 8746, 798, 7432, 910, 8850, 4814, 7348, 5321, 8248, 4751, 7956, 9356, 1825, 1798, 2038, 7847, 3849, 367, 307, 2097, 8082, 9292, 1299, 6884, 7358, 5434, 9211, 8143, 2884, 333, 9056, 9895, 2883, 9037, 9532, 4949, 4032, 1983, 4040, 8726, 6241, 5295, 7474, 5403, 4080, 649, 6369, 4030, 3388, 1487, 7245, 8184, 6659, 4514, 4573, 5882, 4897, 7862, 1700, 3143, 2582, 9261, 5542, 964, 1865, 9372, 9676, 4123, 3794, 619, 1479, 4583, 921, 1661, 6187, 5839, 263, 5925, 7624, 3611, 8502, 1899, 9724, 6151, 731, 9756, 2760, 5313, 2356, 7133, 9014, 4486, 7686, 6576, 664, 5418, 232, 6061, 5510, 1155, 5569, 7844, 2680, 6812, 3503, 1032, 1504, 9598, 4830, 9668, 3487, 5327, 4641, 4599, 1017, 6849, 6312, 6204, 35, 3870, 7941, 9306, 705, 2803, 9255, 110, 6184, 8297, 5029, 6923, 4610, 4873, 5242, 6784, 4518, 8914, 6552, 5484, 8522, 6002, 9606, 4619, 4011, 7568, 4295, 6804, 9109, 7891, 63, 9922, 8992, 2141, 9262, 6852, 11, 5592, 559, 7163, 7939, 343, 2987, 5190, 9309, 204, 4259, 3583, 721, 4342, 9809, 7809, 8069, 742, 3662, 2564, 5374, 6326, 4723, 8427, 1588, 5667, 2159, 3104, 1060, 1201, 7879, 6717, 2704, 9182, 6518, 3707, 8463, 9000, 115, 1124, 2099, 4131, 6541, 7107, 9738, 473, 7558, 422, 7807, 2899, 1050, 2229, 8501, 253, 3246, 4805, 6722, 6346, 6816, 3536, 5909, 828, 6280, 4770, 4446, 5109, 7206, 7755, 691, 4982, 1932, 6805, 2254, 1928, 6687, 6046, 45, 3817, 9098, 1408, 1070, 3494, 9923, 9775, 9434, 2755, 8035, 9207, 2366, 8391, 1716, 4301, 4581, 2515, 1020, 2833, 7864, 8890, 3001, 1433, 1480, 1064, 917, 700, 5760, 5248, 1604, 4734, 511, 2792, 7925, 9859, 191, 9181, 3677, 2262, 7672, 7679, 3792, 8270, 2031, 2881, 9290, 9303, 8643, 4675, 7954, 6105, 7073, 2024, 5754, 7457, 7873, 4795, 275, 6651, 8098, 1543, 8937, 2872, 8105, 6155, 6460, 4191, 7495, 666, 2151, 1453, 5420, 3788, 9927, 8043, 7002, 9965, 394, 8180, 6263, 1242, 4756, 1167, 692, 7189, 8127, 5346, 6358, 4568, 3804, 1129, 6613, 3526, 6684, 9550, 3357, 1770, 5441, 5014, 2033, 4789, 485, 5692, 5712, 3706, 6623, 8229, 5720, 3123, 2124, 9832, 845, 4369, 6963, 8699, 9152, 8817, 3126, 4109, 4693, 8339, 4650, 4434, 7321, 4824, 0, 1923, 610, 8874, 4501, 3271, 9911, 8824, 3540, 2000, 2490, 3892, 8783, 622, 7324, 2115, 6356, 4344, 2902, 4203, 1452, 1639, 517, 7338, 8980, 4636, 8500, 1366, 6110, 7599, 8514, 1375, 6616, 3757, 4634, 6127, 3631, 8192, 7409, 5823, 4777, 8942, 4893, 1583, 9945, 6945, 2558, 3521, 9937, 685, 8902, 1241, 7594, 2012, 9283, 3170, 6255, 6930, 6048, 6675, 9953, 7935, 6135, 4426, 9720, 9898, 613, 3939, 5820, 2656, 8190, 9886, 149, 4402, 8062, 2917, 6047, 9655, 6401, 4215, 7255, 7219, 412, 4177, 3630, 4601, 498, 5148, 1675, 7813, 2761, 8981, 6177, 4336, 6207, 7041, 2137, 7716, 8886, 5752, 5515, 3770, 9976, 2317, 7063, 793, 9248, 3878, 3148, 6973, 1753, 5395, 5240, 7575, 2424, 4339, 8591, 8828, 1411, 3691, 8376, 5458, 1246, 148, 9367, 5273, 4244, 4618, 9487, 3000, 3837, 4471, 9913, 4552, 751, 3033, 5693, 9559, 5310, 4660, 8901, 3741, 4390, 9599, 4323, 8725, 8587, 2731, 2326, 2226, 2244, 7403, 7467, 6677, 9581, 6170, 2560, 3855, 4566, 9591, 9721, 1412, 9274, 7621, 3364, 6547, 7717, 3466, 2605, 8527, 311, 6876, 782, 6234, 1324, 6153, 2496, 1059, 3030, 4730, 2047, 9766, 9424, 6777, 8343, 337, 2976, 8382, 9657, 6991, 3436, 9061, 3743, 2742, 7090, 4846, 8594, 7251, 3090, 1008, 3813, 8680, 7228, 7794, 7418, 1377, 8548, 5983, 1163, 3450, 6768, 5276, 2017, 8590, 7227, 6799, 1288, 8277, 9446, 2673, 3944, 7034, 4503, 4335, 6006, 9535, 8381, 5003, 7895, 4562, 5548, 7885, 6577, 3579, 3848, 5688, 8401, 7651, 3902, 1165, 8816, 8649, 6114, 1363, 9554, 2946, 9205, 1379, 7709, 7677, 9275, 8653, 5674, 5577, 2382, 7972, 8728, 9244, 3324, 4714, 5502, 5957, 7030, 9620, 7024, 9357, 9009, 9466, 6680, 926, 3463, 4299, 6956, 3238, 4044, 6420, 1393, 1260, 6701, 542, 8174, 4110, 9422, 3692, 4948, 6905, 2019, 5072, 7898, 3022, 4557, 3020, 6442, 6693, 2557, 432, 2438, 9511, 2132, 3056, 6437, 560, 2109, 9643, 414, 1318, 5311, 245, 8921, 541, 5769, 6467, 2293, 5451, 4776, 9039, 7565, 698, 8579, 9752, 2875, 9130, 4199, 3901, 8977, 5843, 9038, 1493, 3443, 3391, 7422, 1106, 3681, 7708, 1303, 2657, 1773, 4858, 1491, 2411, 9688, 6574, 7306, 9027, 64, 3742, 9174, 9884, 1090, 393, 9973, 1593, 9499, 3708, 849, 8682, 7497, 5676, 5995, 9856, 9623, 3671, 1476, 4343, 653, 7710, 3460, 4303, 5131, 34, 8093, 4738, 9562, 2275, 9331, 3135, 9997, 540, 2733, 207, 3582, 4124, 3889, 8169, 2559, 6658, 3664, 4894, 4688, 2188, 9684, 73, 4995, 2402, 8608, 9829, 1205, 1974, 9506, 9445, 9962, 9812, 9679, 6099, 5762, 3253, 1632, 3027, 7721, 8773, 3473, 7178, 4227, 9629, 18, 6692, 162, 2081, 7393, 454, 1745, 9220, 407, 123, 5979, 2300, 5000, 4587, 3755, 1647, 7733, 5959, 7666, 4346, 3924, 5902, 8136, 5422, 8899, 8624, 7948, 3828, 4780, 4697, 5715, 4333, 2725, 4847, 6432, 4576, 6526, 623, 265, 3240, 5738, 358, 3776, 7419, 3136, 8412, 8272, 8715, 3874, 2699, 6753, 1650, 9147, 3916, 5965, 1069, 8853, 9250, 5032, 2747, 832, 5183, 8447, 8948, 3888, 4042, 532, 7610, 3158, 7312, 8880, 8973, 2907, 5701, 3624, 9006, 5960, 3846, 9443, 7421, 7350, 2358, 1471, 711, 151, 5625, 6591, 4098, 6981, 5333, 1211, 1179, 2441, 2507, 9299, 7215, 9259, 1092, 5051, 4890, 7190, 1269, 5445, 6650, 5065, 7213, 9866, 7054, 5462, 9971, 2220, 2520, 6524, 8888, 9165, 5019, 8142, 152, 6556, 1228, 1942, 815, 1186, 1496, 3215, 3254, 8620, 5737, 8242, 1868, 1428, 3102, 6592, 9351, 3420, 7488, 8873, 5575, 6725, 5067, 4170, 1183, 2427, 5192, 2376, 2810, 5377, 7591, 819, 9314, 7078, 9469, 3021, 3496, 8691, 4079, 1659, 6021, 8516, 8772, 1597, 5517, 1746, 1483, 2078, 5821, 1514, 3332, 5015, 8307, 7352, 3373, 6697, 7360, 4216, 9375, 3182, 4453, 8757, 9078, 3863, 2650, 8677, 9246, 6482, 8394, 722, 572, 1796, 7046, 9382, 5855, 8104, 5923, 9160, 4242, 246, 2813, 8399, 1066, 2864, 5992, 2540, 2723, 8790, 8420, 8003, 5087, 4937, 3087, 4089, 7315, 7528, 8157, 2013, 3872, 6755, 8614, 6122, 1120, 1287, 1762, 5961, 2456, 9119, 7754, 2698, 6906, 858, 9307, 6679, 2527, 1895, 7322, 4483, 388, 2072, 6160, 2663, 7739, 2482, 9405, 5599, 5783, 7634, 9213, 2779, 9218, 5668, 5656, 3737, 3694, 230 ], [ 6796, 8943, 5946, 5474, 2136, 6574, 6735, 8095, 9481, 9788, 4152, 7912, 592, 2925, 7997, 496, 7443, 2440, 8815, 2559, 6417, 2829, 8674, 8303, 39, 3974, 8336, 2893, 1498, 2205, 3876, 4043, 7921, 8352, 1367, 6628, 2681, 9929, 9837, 7190, 823, 1993, 4372, 55, 3713, 7617, 7589, 9163, 7349, 4592, 2188, 5031, 1528, 5447, 170, 2534, 3486, 3412, 3094, 7214, 3613, 1606, 9747, 4086, 6527, 787, 6566, 4653, 6971, 7860, 5867, 1368, 3952, 1466, 5362, 9294, 3065, 3295, 7257, 1349, 9601, 9591, 610, 3239, 1119, 8438, 8740, 4894, 1799, 4630, 5678, 2484, 987, 9170, 1412, 7402, 6994, 6871, 8947, 69, 1965, 6819, 8489, 6005, 5831, 607, 3281, 6948, 9815, 2997, 3015, 611, 7987, 5871, 3705, 9176, 8979, 7421, 1414, 8033, 8106, 1108, 7606, 4693, 9763, 9814, 7728, 421, 7142, 6806, 4816, 9571, 5123, 3213, 7302, 3376, 551, 3096, 3337, 4754, 1921, 9777, 2790, 3211, 5278, 9092, 639, 345, 7711, 9542, 7036, 3429, 2439, 7989, 4373, 6119, 5315, 7456, 6404, 6237, 6740, 6949, 3509, 943, 9736, 2437, 1459, 1057, 3468, 2694, 4456, 5944, 7821, 4595, 8910, 82, 513, 1931, 6960, 5903, 2798, 4342, 4572, 9841, 112, 8648, 3726, 4250, 9731, 9547, 9050, 1005, 1006, 3975, 9239, 2631, 9054, 8248, 5425, 7104, 771, 5456, 4103, 8807, 3581, 7430, 8250, 2494, 792, 1619, 5617, 2838, 2342, 9219, 3465, 4178, 3604, 9382, 8702, 8941, 3927, 5787, 3741, 3603, 6477, 5438, 7584, 4444, 6908, 7914, 8833, 6488, 4891, 3175, 1488, 4609, 3142, 2509, 5726, 4442, 7475, 7735, 6775, 7639, 4499, 6764, 1444, 1237, 5236, 1519, 7777, 1438, 1225, 786, 3784, 3874, 8615, 2153, 530, 1915, 7586, 7816, 5068, 4834, 2565, 8220, 7691, 1593, 208, 4402, 5045, 6228, 8813, 1786, 6368, 5436, 8723, 2605, 6290, 7408, 8317, 5100, 9479, 9426, 9407, 9432, 9596, 2746, 6281, 3600, 1555, 9743, 3343, 1012, 7672, 7198, 4032, 8408, 1431, 5951, 3234, 8151, 8081, 4347, 5553, 1678, 1590, 6437, 2623, 7059, 2530, 3594, 9616, 4039, 9032, 2445, 176, 2764, 8478, 8586, 3838, 5915, 314, 8443, 6561, 6711, 6883, 9388, 8880, 1468, 4930, 9047, 352, 6106, 9523, 9829, 5907, 2306, 9638, 2192, 2368, 924, 3913, 901, 6538, 3899, 2412, 1790, 4007, 3273, 7572, 2149, 6685, 86, 2652, 1312, 9041, 7625, 1144, 8711, 6053, 3768, 4056, 6032, 2104, 2073, 4663, 7289, 2981, 8394, 6554, 6510, 1895, 4045, 1101, 9612, 4821, 3080, 5536, 8752, 8763, 8125, 744, 9662, 9659, 1840, 5680, 8714, 8658, 6502, 929, 5409, 4397, 959, 3764, 27, 4519, 2272, 9529, 3536, 1747, 5894, 7211, 3210, 5677, 3074, 5975, 7341, 7514, 2685, 5148, 4538, 3390, 6632, 9211, 1968, 6732, 2522, 5824, 1957, 1232, 4725, 5211, 1925, 370, 9691, 6972, 6637, 8934, 2986, 3568, 111, 3981, 6082, 5080, 233, 292, 2206, 8067, 4057, 1235, 6999, 3394, 4530, 5955, 4012, 3131, 5085, 7415, 4119, 2626, 2592, 6246, 2307, 8330, 6520, 7667, 8673, 384, 2678, 6295, 2842, 6486, 4956, 50, 5366, 691, 2590, 3837, 1605, 9302, 235, 4150, 445, 4671, 5322, 8273, 5020, 596, 2334, 429, 1065, 6639, 7066, 2365, 3817, 4291, 6384, 1344, 5104, 7822, 9583, 9346, 334, 8722, 9508, 9452, 3036, 9744, 3454, 5750, 1919, 6131, 7051, 7554, 2596, 1854, 9055, 1820, 7203, 5851, 9482, 6892, 3731, 5319, 4288, 4734, 6905, 7928, 3384, 6626, 3151, 3528, 5369, 6921, 5339, 7513, 6330, 1192, 5304, 283, 2586, 3215, 9531, 2406, 9061, 6350, 3894, 8936, 5417, 587, 9859, 6423, 4887, 2663, 9971, 5493, 8977, 6410, 3829, 4871, 126, 4040, 4382, 1660, 1849, 8263, 3977, 1597, 3144, 1266, 3044, 6318, 4179, 6371, 621, 6457, 4400, 7647, 3266, 8068, 5176, 2558, 6156, 3716, 7088, 4041, 9238, 8583, 4556, 5780, 1874, 6928, 5226, 3467, 1572, 570, 6411, 8098, 1565, 1671, 5791, 5789, 2333, 9337, 9513, 9532, 8510, 4740, 3370, 2627, 985, 350, 5933, 9908, 5279, 353, 2744, 5528, 7259, 7284, 5838, 1220, 8968, 4767, 9561, 4683, 9256, 7452, 2253, 2871, 3331, 1156, 1745, 6391, 3634, 8418, 6662, 4266, 2858, 5359, 8378, 4226, 3843, 6431, 991, 7907, 3882, 5114, 4501, 1698, 394, 8327, 9680, 3391, 4502, 9938, 3682, 3848, 566, 9578, 5856, 9135, 5657, 9634, 9589, 2035, 8794, 3206, 2308, 5147, 7094, 6575, 4633, 37, 4506, 5709, 2640, 7360, 4748, 2707, 2113, 9766, 178, 2971, 5312, 5685, 6324, 7060, 1857, 4509, 4304, 8535, 2805, 8879, 211, 9080, 8549, 8073, 4785, 8957, 3442, 94, 4883, 699, 8296, 825, 4355, 2387, 2985, 558, 4876, 5170, 8542, 7154, 6354, 4398, 5255, 8420, 4507, 8594, 463, 2892, 8789, 4089, 6558, 886, 6443, 5388, 2100, 6723, 4670, 165, 6667, 4925, 9906, 5171, 2647, 8628, 5454, 7477, 327, 3679, 1529, 562, 3314, 9478, 2796, 3891, 6635, 9515, 4981, 7524, 3305, 1604, 7812, 4168, 9198, 7934, 7662, 489, 7721, 6854, 824, 9179, 913, 2951, 3668, 6546, 6856, 5283, 6199, 3241, 4162, 5189, 4105, 2134, 8853, 2832, 49, 8050, 2391, 1294, 5230, 9784, 9580, 3329, 1852, 5653, 1148, 4723, 1687, 8066, 2628, 3555, 409, 7734, 7356, 9459, 8335, 5861, 5313, 1041, 745, 6495, 1885, 6638, 1946, 332, 3627, 5727, 7762, 4410, 1415, 4955, 3120, 2571, 7099, 7528, 3436, 2466, 2036, 4623, 2114, 9200, 1328, 2529, 8432, 5239, 1425, 6206, 5510, 5424, 4849, 1001, 2906, 1864, 4579, 7040, 8150, 3857, 4830, 4833, 9253, 443, 8219, 4122, 8775, 4608, 2875, 8051, 9412, 8148, 2801, 9539, 9897, 5396, 3368, 5406, 8077, 333, 3476, 9885, 3134, 6248, 7495, 9021, 9161, 465, 6851, 155, 8040, 9629, 5997, 5088, 616, 9244, 1442, 7748, 5605, 8087, 7333, 506, 5615, 2446, 4503, 2873, 5308, 1042, 3997, 7669, 1356, 1301, 1296, 2063, 3233, 5854, 9282, 1248, 2103, 9304, 9167, 4147, 3578, 6198, 3457, 7023, 3761, 5261, 9831, 7331, 7491, 8545, 6599, 4405, 3953, 4578, 5785, 6400, 9534, 5351, 9369, 4443, 7436, 1763, 5431, 8620, 7596, 9235, 979, 1956, 6512, 5128, 2960, 4047, 9411, 3268, 3622, 9976, 166, 8127, 2757, 4946, 5643, 6332, 6409, 8173, 2695, 5632, 5746, 2525, 7467, 4695, 7083, 6604, 6128, 7909, 7519, 2019, 7348, 6982, 8308, 5368, 1624, 8056, 3966, 189, 9705, 8762, 4186, 16, 7110, 9899, 9573, 3306, 4842, 7461, 9569, 8852, 767, 6269, 1098, 5674, 400, 7526, 3720, 5742, 8675, 3531, 3728, 9790, 2496, 7955, 6707, 6302, 1853, 3205, 5358, 3145, 4036, 1970, 7370, 1303, 4425, 4225, 4763, 8149, 3339, 2304, 6762, 8107, 7713, 9447, 8508, 1681, 6911, 9967, 6521, 2987, 7299, 1097, 3091, 4620, 135, 2303, 6917, 3236, 3542, 7730, 8990, 3819, 9372, 8796, 6264, 8868, 2428, 7496, 279, 1018, 936, 123, 5927, 4490, 9775, 7685, 6314, 5018, 8195, 1342, 7479, 3197, 5972, 423, 6149, 4284, 2962, 9201, 1109, 7368, 9209, 9033, 2137, 1398, 3842, 3475, 9075, 6427, 1091, 4449, 9756, 3656, 2568, 7543, 8383, 585, 8671, 5943, 7558, 7964, 3388, 8368, 9998, 6691, 5545, 5342, 2921, 2344, 861, 889, 9521, 2577, 4310, 3387, 9463, 8426, 8993, 8366, 9109, 1977, 5592, 9767, 4015, 2686, 3377, 5624, 542, 4625, 323, 1649, 2069, 5372, 3905, 8223, 6341, 4770, 7594, 2115, 7233, 7945, 7766, 6297, 9397, 4145, 401, 8261, 3416, 4228, 1298, 4971, 6348, 9506, 9721, 3718, 6120, 8843, 9556, 5214, 6021, 3199, 2527, 2130, 3104, 4742, 1178, 6824, 2324, 7152, 2823, 7687, 6651, 735, 5909, 6743, 6079, 9192, 424, 8063, 6204, 2420, 6830, 6065, 7489, 2112, 3312, 4018, 84, 2332, 641, 3351, 1810, 1216, 2924, 9619, 6398, 619, 7758, 1439, 7815, 9429, 575, 95, 8637, 6167, 1419, 5258, 973, 2102, 6523, 6212, 5525, 833, 5382, 9018, 7226, 7891, 9670, 7845, 6298, 5049, 6230, 5461, 6481, 9709, 3593, 5556, 1640, 7369, 2359, 2330, 9500, 2556, 3045, 7689, 335, 3992, 6831, 4367, 8278, 1371, 6462, 5543, 5238, 1774, 5179, 1771, 5297, 3852, 7952, 8768, 6696, 1550, 595, 9081, 1822, 9195, 72, 9249, 1218, 2173, 9030, 4884, 8097, 264, 7535, 3925, 9548, 5591, 2106, 731, 5816, 164, 6593, 8809, 3828, 5965, 7707, 8802, 7731, 8585, 4464, 9102, 3674, 6110, 43, 2802, 3385, 9325, 1076, 1584, 2284, 1543, 4995, 6739, 6428, 5573, 8579, 414, 1654, 3549, 7473, 3446, 8492, 5987, 1928, 9299, 287, 6817, 5761, 7924, 8252, 5376, 1807, 8119, 6623, 9427, 2473, 617, 8538, 9936, 3274, 5641, 6459, 2996, 8902, 7216, 2186, 4331, 522, 193, 454, 6787, 2201, 8738, 4665, 399, 9769, 5625, 2179, 9771, 9570, 5252, 8911, 3189, 2487, 4318, 4017, 3469, 6282, 1653, 6955, 4115, 7531, 2741, 1574, 4560, 7105, 9222, 9826, 9225, 8238, 1361, 7283, 5485, 3645, 6791, 9136, 4282, 9326, 4126, 9441, 8915, 4091, 7830, 7597, 7747, 8537, 1399, 8864, 6715, 527, 8376, 4705, 8718, 9678, 2945, 9947, 7929, 890, 6790, 5884, 1275, 5763, 7314, 2256, 9952, 5868, 904, 6144, 510, 7315, 8316, 5508, 6382, 3520, 7229, 8251, 9386, 8938, 1446, 9813, 1880, 389, 9095, 8987, 6959, 225, 580, 8389, 768, 1642, 8795, 7262, 8132, 8777, 9623, 3348, 3415, 4826, 871, 3404, 6484, 7752, 9210, 5364, 8189, 3632, 9567, 5992, 1707, 1448, 900, 6121, 834, 9403, 6009, 7682, 88, 1948, 8129, 8601, 1511, 8597, 2399, 4824, 7638, 9639, 6024, 7621, 318, 8198, 3909, 5747, 7551, 6771, 73, 5340, 1188, 8400, 8811, 3866, 3459, 6424, 1752, 5803, 9611, 3082, 8945, 4216, 2463, 9904, 8998, 4049, 3228, 4768, 9197, 5494, 5495, 8582, 9533, 2413, 6279, 7739, 5599, 899, 7363, 3418, 8002, 2910, 8557, 9646, 1299, 6169, 6155, 2680, 7358, 9251, 1912, 806, 5206, 1756, 6286, 1477, 3261, 2956, 2582, 237, 701, 9613, 6401, 5923, 9953, 2012, 5432, 9277, 6196, 3492, 4551, 4117, 4504, 9530, 9706, 7930, 4717, 4980, 6933, 1230, 7014, 5954, 995, 1916, 4022, 4419, 9845, 627, 883, 965, 3051, 6136, 1284, 8524, 3410, 6969, 4221, 1253, 9726, 1564, 2422, 2999, 9782, 3683, 9199, 6130, 7118, 8717, 9959, 4505, 6030, 821, 5967, 9257, 2286, 9641, 5798, 5451, 631, 3771, 5448, 962, 8613, 7017, 7717, 6584, 7670, 9243, 7202, 969, 5809, 9477, 5705, 6351, 4182, 7902, 1308, 853, 1991, 2573, 4899, 7183, 851, 6552, 6724, 5408, 8855, 5120, 6958, 4706, 4515, 508, 5063, 1500, 1863, 2860, 1046, 5639, 6977, 1433, 7574, 844, 4087, 4428, 1159, 5284, 8072, 5758, 4699, 819, 5852, 5275, 9566, 6072, 115, 4681, 4897, 4188, 3807, 3510, 3923, 4517, 6670, 7507, 6942, 9449, 8951, 206, 2325, 6569, 4859, 6358, 5053, 1522, 4998, 7441, 7749, 5958, 2482, 441, 4643, 6627, 3871, 439, 6194, 4739, 2495, 4669, 6031, 7322, 2747, 9034, 8819, 6151, 9150, 4127, 1293, 2120, 4320, 5008, 3567, 8885, 6664, 1430, 9048, 8786, 5005, 8664, 4933, 2388, 2737, 1029, 2847, 856, 390, 5402, 1257, 4111, 5232, 1327, 5163, 7787, 6557, 9370, 3916, 6185, 9169, 8008, 7485, 3618, 5820, 9833, 3979, 9722, 7947, 7746, 3972, 437, 1792, 9141, 4722, 4491, 5403, 516, 75, 9909, 9627, 8268, 4195, 476, 4791, 4557, 23, 1805, 5320, 7195, 4369, 4537, 2630, 6022, 3561, 1856, 6722, 8720, 8312, 9536, 2346, 1932, 239, 274, 2395, 2948, 2855, 4155, 5472, 4535, 1050, 8699, 9643, 85, 6190, 246, 1809, 3644, 3103, 4384, 2546, 5311, 5021, 9585, 1010, 497, 5285, 2321, 3546, 4242, 3107, 2889, 3298, 4741, 5130, 8995, 3845, 3642, 8522, 6587, 7623, 7215, 4055, 4030, 1589, 2, 8918, 3417, 7351, 5769, 5722, 809, 9999, 9865, 6002, 2784, 9113, 3653, 3669, 1317, 216, 6984, 1610, 7714, 1661, 7794, 8370, 8566, 5899, 4603, 1591, 3942, 2968, 8488, 2267, 6429, 3777, 6034, 6482, 2831, 2023, 8939, 2775, 293, 5646, 102, 8967, 6042, 3123, 9582, 2574, 1322, 8016, 3887, 3878, 1683, 1273, 753, 8382, 3284, 8696, 3556, 8464, 6422, 6714, 9129, 6606, 2042, 6929, 1147, 9454, 2548, 2292, 1400, 3453, 483, 6716, 1092, 9350, 2327, 2464, 4277, 765, 7809, 9094, 2426, 8754, 1291, 141, 3192, 6550, 4309, 7913, 7462, 6875, 4192, 8953, 6888, 4495, 6964, 9005, 7893, 3532, 6451, 6987, 7874, 9347, 6799, 3655, 8209, 7228, 8940, 5648, 9846, 5835, 5764, 3146, 8742, 6511, 8652, 6759, 2501, 3529, 4198, 1568, 9431, 6585, 2279, 8292, 9968, 1855, 4792, 473, 3276, 2926, 4358, 4498, 5116, 911, 9182, 9101, 4345, 4856, 672, 9660, 2817, 9672, 7270, 8590, 1286, 4243, 8907, 5137, 3081, 8733, 6742, 4823, 4158, 4131, 1592, 6056, 1082, 2090, 9100, 8595, 4728, 6403, 6595, 9173, 4170, 3414, 2171, 2270, 2407, 9422, 453, 717, 8839, 2624, 2034, 3886, 5037, 6562, 4478, 7966, 9160, 4536, 1481, 8927, 4156, 7148, 4934, 8007, 8179, 9759, 3302, 5744, 7884, 7286, 3987, 7668, 8554, 2505, 7861, 3115, 1725, 2410, 7502, 8728, 529, 1907, 7827, 348, 3991, 536, 6223, 8683, 5698, 528, 5848, 2193, 8862, 5217, 8643, 9186, 4497, 6621, 7530, 2572, 9015, 3746, 4641, 6035, 8736, 6706, 1499, 9935, 6589, 793, 5555, 5801, 4175, 6914, 9035, 9069, 8405, 8246, 3957, 7248, 6200, 7642, 7266, 3763, 982, 727, 9214, 5378, 3606, 1120, 3577, 4649, 9739, 6416, 6301, 9750, 584, 8300, 4409, 9267, 9393, 4784, 4522, 7605, 644, 3732, 8708, 9524, 7806, 1603, 9227, 9955, 1685, 7006, 7587, 1729, 3791, 9345, 1972, 5873, 2770, 9663, 6439, 2655, 5023, 8854, 7500 ], [ 5131, 3631, 6480, 3893, 4020, 3227, 1817, 8171, 5383, 6927, 5888, 8004, 1824, 964, 8644, 9040, 4353, 6118, 8543, 3063, 5622, 2936, 4249, 4851, 4637, 6785, 6915, 8395, 2769, 1952, 9695, 9145, 659, 903, 2257, 9357, 3727, 6122, 6438, 678, 5122, 892, 6885, 9115, 972, 315, 6257, 5041, 5102, 1456, 2352, 5112, 5183, 5416, 7954, 4311, 3803, 3327, 976, 2934, 9965, 9254, 1211, 4350, 5216, 2612, 8144, 331, 3832, 7012, 6152, 9123, 1767, 9807, 3138, 6618, 3865, 5030, 9405, 1906, 2353, 5295, 7304, 4377, 6773, 1429, 1464, 2917, 4848, 928, 5154, 1190, 8338, 8725, 7478, 48, 1859, 780, 4391, 6602, 572, 3811, 4967, 8611, 8661, 116, 681, 2683, 5024, 1223, 1421, 8499, 4516, 598, 3767, 7064, 9152, 3043, 1830, 1581, 4196, 46, 5256, 6378, 4379, 3053, 2953, 3591, 7007, 938, 2774, 676, 7550, 4923, 3994, 8184, 4544, 7359, 8897, 6983, 4902, 7219, 7311, 22, 7660, 117, 7218, 4255, 9728, 5945, 2027, 9973, 9637, 3167, 8555, 7114, 4990, 2011, 5691, 4058, 6782, 5345, 7063, 1427, 7568, 8021, 8083, 1242, 9768, 1185, 328, 9528, 3332, 9754, 6234, 6778, 8870, 4378, 3910, 3623, 7168, 3086, 1181, 6750, 7375, 1164, 2297, 677, 4227, 3254, 1463, 3517, 3557, 2021, 338, 2772, 5702, 4118, 515, 1613, 9519, 2157, 6133, 8610, 3017, 5902, 1773, 4002, 5418, 66, 8908, 3888, 4886, 4013, 7577, 1504, 289, 8552, 258, 2017, 1219, 2961, 2029, 8525, 5025, 3734, 3612, 9588, 6191, 9942, 1250, 6420, 1941, 4753, 628, 4960, 30, 7792, 2549, 9574, 9910, 7117, 5629, 6710, 6805, 6655, 3170, 4143, 6576, 4989, 3776, 9208, 475, 6765, 9742, 8784, 2314, 6897, 3550, 406, 9796, 4235, 2215, 6838, 9112, 7705, 1360, 4201, 3078, 9875, 1892, 7204, 1243, 4009, 5501, 2280, 1818, 9822, 8812, 5890, 6681, 7400, 9001, 5828, 7173, 615, 1951, 7818, 8667, 865, 586, 6895, 7784, 6586, 7971, 6213, 5572, 2946, 4177, 2588, 3805, 3694, 2693, 1789, 1319, 4435, 3512, 5400, 8560, 7599, 9153, 6107, 5057, 1776, 1933, 9399, 9465, 5812, 3962, 7380, 8691, 573, 2360, 5350, 1325, 9495, 5221, 3833, 5620, 5405, 6608, 7386, 8846, 9755, 3008, 7518, 9440, 4554, 3924, 4881, 4872, 2442, 4752, 1569, 6266, 354, 8391, 9962, 3660, 6238, 3032, 2836, 7420, 1918, 9980, 8162, 4223, 5523, 9419, 8141, 9144, 4368, 3507, 3497, 6177, 8035, 9752, 7760, 3317, 5647, 1530, 7504, 1292, 5604, 9410, 3076, 4584, 6991, 4108, 5752, 7801, 902, 1995, 7624, 7318, 3055, 1875, 4060, 8498, 1314, 1335, 8170, 3491, 4907, 377, 9911, 912, 8269, 9455, 9329, 4867, 6275, 7361, 6305, 1929, 3543, 4171, 8011, 2060, 5558, 2108, 2390, 9581, 5455, 8955, 5939, 6956, 3518, 3006, 248, 8202, 5883, 7292, 8969, 4251, 3588, 8504, 1352, 7206, 2911, 1540, 1706, 9124, 4308, 4606, 4380, 921, 4612, 8297, 750, 2844, 888, 9491, 7033, 7242, 8029, 2175, 5840, 5841, 5772, 9780, 7659, 5669, 4005, 349, 1527, 550, 4910, 4567, 1625, 3881, 8324, 6363, 5343, 5450, 582, 1638, 272, 8028, 1843, 5713, 2598, 1549, 7000, 5916, 106, 9538, 4542, 6504, 8541, 5999, 5249, 4744, 7185, 9760, 2668, 308, 7238, 5733, 9139, 4206, 9108, 8580, 3493, 1693, 6381, 3066, 7112, 6578, 9234, 3209, 808, 6531, 1343, 2317, 8881, 8493, 7447, 5371, 9694, 8260, 6954, 4473, 3808, 5687, 5166, 9648, 3187, 743, 7848, 6978, 7978, 836, 8191, 8639, 4716, 2448, 4000, 7234, 5043, 603, 201, 3447, 878, 9925, 1244, 108, 4230, 6393, 1992, 7258, 9982, 1673, 9903, 3350, 6864, 3296, 9088, 783, 1037, 2660, 3129, 2730, 2557, 1364, 5739, 7129, 7010, 460, 9132, 4656, 5078, 9652, 4365, 2883, 6469, 8625, 1969, 5891, 1376, 5038, 3691, 7394, 6893, 6460, 7786, 9292, 4214, 2954, 9327, 4208, 7857, 7710, 7753, 7034, 8759, 7251, 1715, 1375, 2198, 372, 5522, 1539, 999, 9381, 252, 3496, 3956, 1077, 5062, 9655, 3308, 4550, 3237, 3084, 8196, 549, 9861, 5581, 557, 3947, 436, 9870, 6975, 5459, 7186, 8205, 5562, 8350, 3282, 2515, 1964, 3766, 6768, 7345, 4023, 1717, 3249, 3795, 8448, 1370, 494, 8790, 5659, 6613, 5952, 1479, 4962, 7111, 113, 7221, 8845, 5231, 6139, 2753, 2552, 4139, 4274, 1486, 944, 8971, 9391, 9433, 3821, 1064, 7620, 5103, 4004, 5811, 8409, 9125, 3850, 9097, 2189, 4847, 4984, 3395, 8441, 290, 1839, 2491, 6386, 7872, 8032, 4424, 6222, 3688, 5003, 7460, 8774, 8122, 9120, 1958, 6687, 7231, 5367, 1441, 5282, 3393, 8660, 980, 9435, 3955, 2056, 1517, 6385, 1467, 122, 554, 6054, 6522, 118, 1601, 6392, 2221, 5482, 4066, 6615, 2234, 9657, 1401, 3895, 8244, 6553, 1886, 1510, 4610, 626, 404, 361, 5823, 5245, 697, 6598, 1761, 6256, 3968, 9793, 8445, 1388, 1197, 9154, 1348, 4322, 1392, 41, 8695, 8748, 4305, 2480, 154, 7474, 2523, 7136, 3738, 4209, 3462, 6909, 7210, 8686, 2269, 9970, 5071, 4124, 1345, 3737, 5524, 2762, 8187, 7834, 2810, 5222, 6078, 1036, 6095, 849, 7376, 4583, 6738, 7022, 5392, 8787, 3203, 2645, 6098, 5792, 4738, 5075, 4805, 4338, 3973, 5546, 4440, 7598, 3773, 9058, 8045, 6492, 4986, 7138, 3511, 5042, 6175, 4909, 4731, 6579, 3058, 4726, 1868, 6968, 6720, 8208, 3423, 1026, 9553, 7434, 8952, 7095, 1686, 5864, 1791, 3162, 9443, 8616, 4356, 2689, 3161, 9949, 4388, 268, 769, 3122, 6829, 3863, 1145, 6701, 915, 531, 4300, 4518, 4800, 8668, 1872, 2469, 4222, 1157, 3903, 8431, 7101, 4533, 3864, 5990, 7435, 6891, 1047, 1577, 7141, 7960, 8415, 9012, 2512, 6211, 4253, 9915, 1712, 2028, 7828, 8462, 7157, 2161, 7225, 5749, 5399, 2414, 6836, 7384, 4857, 4042, 162, 1837, 7878, 6241, 8712, 6387, 8753, 9259, 3294, 8729, 6483, 4437, 7583, 2356, 5779, 8046, 4966, 5504, 2914, 6647, 7718, 1228, 7619, 1926, 9972, 428, 1622, 5580, 5198, 457, 4493, 7742, 1217, 6284, 539, 4191, 4114, 4949, 600, 7854, 800, 3139, 7230, 5421, 2866, 138, 4234, 7967, 1024, 62, 3721, 2194, 3921, 8371, 3902, 5317, 4205, 9603, 796, 1576, 6493, 4758, 2706, 2223, 1070, 2519, 507, 807, 7025, 1879, 1321, 2329, 3641, 8255, 9462, 1618, 3601, 3541, 1033, 7927, 6402, 8640, 4580, 6992, 4137, 8965, 5531, 3458, 1160, 8217, 2983, 5241, 9068, 8883, 7575, 2560, 8463, 6327, 180, 5973, 2993, 1113, 6102, 716, 6611, 7291, 2907, 1035, 7564, 61, 6922, 4994, 1336, 9832, 5766, 324, 6692, 9, 4845, 5771, 5608, 8924, 9406, 6399, 1898, 5924, 4095, 1347, 1609, 9843, 2228, 4828, 2587, 1277, 2712, 579, 7609, 1189, 4678, 6943, 5377, 5254, 4655, 6780, 1547, 6229, 2718, 688, 2213, 7410, 5814, 2625, 1179, 1049, 8764, 6278, 1193, 2248, 8698, 1458, 1008, 374, 2901, 2489, 588, 3943, 6140, 7665, 8293, 4239, 4181, 5595, 2362, 4149, 1779, 5904, 1, 9512, 7078, 671, 3936, 9594, 3221, 4510, 346, 6487, 1684, 6903, 5276, 190, 3868, 232, 5164, 4940, 391, 5115, 2026, 2129, 6821, 3830, 2176, 1096, 4898, 5650, 3751, 5567, 6328, 7431, 6535, 608, 5055, 8295, 2878, 7411, 220, 6997, 1307, 8606, 9303, 8593, 2569, 1040, 8982, 7838, 403, 1031, 9764, 3616, 192, 311, 8844, 8612, 2151, 1437, 6017, 1587, 2118, 3559, 7425, 6767, 6014, 8889, 564, 2468, 1080, 4212, 3880, 3901, 2518, 1782, 5707, 7595, 1987, 6323, 4562, 3836, 7108, 8082, 4662, 4652, 8816, 5901, 124, 3892, 4148, 2620, 393, 9550, 6389, 3052, 8899, 131, 7419, 606, 5477, 2389, 5830, 3176, 6940, 6289, 7968, 3207, 2729, 9809, 7167, 2265, 1247, 4229, 4211, 3849, 1702, 9359, 4157, 8242, 5077, 5930, 5060, 2045, 1924, 7457, 8829, 2939, 8999, 5401, 1878, 7308, 1044, 7611, 1598, 3198, 6748, 1260, 5086, 4787, 1772, 2184, 7237, 5962, 5410, 2030, 7049, 9285, 8570, 718, 4392, 6694, 3225, 8203, 8406, 2316, 9409, 2072, 2051, 2490, 5463, 7381, 6343, 5618, 8791, 9701, 2009, 8651, 4819, 4927, 4024, 8548, 9162, 9268, 5690, 5658, 3574, 1473, 9687, 9262, 5521, 2323, 4064, 7127, 7442, 4571, 8334, 2739, 440, 1823, 4204, 6015, 8930, 1541, 2603, 4046, 6506, 8638, 526, 7932, 733, 1579, 9740, 3340, 6913, 3150, 5778, 3424, 8385, 1636, 9679, 9654, 6174, 1174, 5422, 7329, 3265, 5970, 5881, 6094, 6242, 2806, 7293, 1913, 500, 2808, 738, 9380, 6062, 1072, 6253, 3782, 4394, 9019, 317, 6345, 9751, 4193, 2698, 2782, 8559, 4351, 7096, 9190, 8690, 6988, 4088, 3740, 8313, 6000, 9378, 3687, 3711, 5634, 3502, 4952, 1100, 6097, 3914, 7843, 339, 2589, 7781, 6116, 9474, 7877, 3840, 357, 1272, 6225, 4877, 3219, 2285, 6414, 5862, 5880, 3897, 4697, 4110, 4395, 1323, 4289, 2475, 1546, 2876, 3303, 6068, 6326, 501, 2865, 8417, 6862, 5679, 282, 5194, 8074, 491, 120, 5028, 213, 4101, 7935, 613, 1059, 9371, 1662, 2755, 1300, 7906, 4875, 6536, 9745, 1407, 7556, 3003, 417, 8214, 9847, 1051, 2666, 7699, 4256, 3993, 7122, 6220, 8006, 1505, 2382, 9396, 477, 5303, 3293, 199, 5519, 3673, 4668, 1337, 2724, 2067, 8014, 8461, 9006, 6307, 2301, 1588, 3093, 2554, 2058, 6650, 8180, 7958, 4985, 9862, 6453, 3132, 6699, 8653, 9157, 9174, 9172, 534, 1182, 3769, 7904, 3373, 5446, 3944, 3010, 4581, 1525, 6731, 5489, 2319, 7422, 4313, 2785, 4575, 5361, 6702, 2450, 7853, 3097, 6240, 6517, 6660, 7636, 4067, 7423, 5850, 4472, 6004, 1764, 6201, 8236, 9089, 2471, 2941, 3579, 2148, 4729, 6123, 4354, 4471, 1107, 3937, 9137, 1280, 3647, 5966, 773, 194, 923, 6224, 2513, 593, 9924, 9916, 3178, 5602, 6560, 7081, 7160, 1766, 1483, 8808, 6668, 6556, 7566, 1599, 747, 7030, 8455, 891, 4207, 42, 8540, 2411, 3214, 1315, 3133, 7254, 2154, 6485, 8213, 682, 3770, 5860, 3800, 4337, 5223, 9543, 2486, 1165, 2038, 832, 6920, 1578, 4564, 7546, 9205, 1744, 8629, 9389, 3960, 8234, 4920, 133, 150, 4426, 2483, 9134, 1497, 9279, 5336, 910, 2500, 9872, 8005, 6219, 9882, 8142, 6334, 881, 8456, 870, 6260, 6630, 636, 7132, 5638, 2119, 7844, 511, 3798, 8271, 2918, 8972, 1136, 205, 4977, 9457, 415, 9203, 9484, 9049, 3057, 3440, 4999, 2661, 8680, 8665, 687, 1514, 7176, 8321, 6695, 6526, 4295, 2611, 7993, 6150, 770, 1521, 8929, 5271, 8884, 9816, 5004, 9839, 8577, 1999, 5374, 2092, 1163, 4541, 8225, 3938, 2016, 2711, 3706, 4790, 8770, 4561, 9921, 6850, 8328, 2863, 742, 1496, 4549, 7414, 4121, 3684, 9606, 1575, 581, 3742, 5928, 2217, 548, 1085, 9284, 7679, 1025, 2982, 1883, 371, 2408, 7464, 6815, 816, 4189, 8182, 1757, 7970, 839, 7858, 2761, 1195, 667, 3785, 7888, 1052, 3907, 7790, 3341, 9420, 8315, 9985, 1309, 7172, 7268, 1718, 6292, 873, 7091, 5162, 4724, 6303, 4454, 1651, 6784, 3860, 3758, 4210, 3105, 8516, 1227, 6013, 2456, 1655, 6794, 2980, 9456, 322, 9645, 2313, 6653, 5126, 8981, 5213, 7296, 4258, 8276, 3570, 4631, 4488, 2759, 9608, 9762, 6187, 7113, 1938, 2499, 9241, 4775, 1023, 720, 2771, 8534, 7490, 2492, 9488, 2082, 715, 3299, 922, 5683, 5694, 1844, 4624, 1015, 2088, 8960, 3967, 7367, 5479, 2128, 4264, 651, 5248, 1083, 6926, 1699, 4621, 2331, 9418, 1513, 9309, 2677, 5458, 2010, 7389, 6690, 9560, 4408, 1904, 7146, 6878, 502, 1359, 7256, 7592, 9956, 9064, 8830, 3748, 5911, 7149, 666, 4814, 7824, 1067, 2337, 7201, 7916, 7534, 3954, 1896, 3321, 5397, 5187, 5957, 5900, 1548, 6280, 1124, 363, 7567, 8131, 6463, 609, 5499, 8294, 3280, 854, 5161, 2124, 5385, 8721, 6377, 4817, 7232, 8663, 5281, 9138, 2869, 4874, 7839, 5614, 7975, 9557, 7390, 7395, 297, 1691, 6709, 3248, 5328, 5032, 9149, 4092, 7042, 9808, 9901, 7162, 8935, 9355, 6146, 7862, 5609, 4477, 101, 3548, 2057, 8747, 1095, 9016, 1413, 9737, 6412, 2723, 2610, 8776, 8134, 7498, 2797, 9486, 365, 5190, 2717, 1151, 6092, 5594, 2691, 5333, 6649, 2101, 8599, 2357, 5224, 1534, 3179, 1836, 5583, 7486, 5146, 653, 3949, 9954, 7205, 9293, 9233, 2097, 4403, 9565, 8950, 632, 5956, 4997, 8913, 8355, 6205, 7657, 9774, 2374, 5578, 1114, 1115, 2621, 2172, 5029, 4988, 6963, 9715, 4160, 9493, 5107, 710, 24, 1778, 168, 6916, 1714, 5404, 4061, 7750, 4333, 840, 4390, 7796, 4611, 1884, 1828, 2532, 9324, 4810, 38, 2000, 7429, 5181, 3889, 71, 4074, 788, 2780, 1536, 4236, 6652, 7631, 6007, 6545, 8757, 2791, 8551, 1705, 7002, 6874, 9062, 9272, 2616, 8898, 6705, 330, 7887, 8399, 2416, 1573, 5934, 6329, 7100, 1154, 6672, 5411, 2726, 2542, 6390, 2528, 7453, 7487, 4903, 1131, 5469, 2235, 7517, 7627, 9356, 7725, 7273, 3799, 2340, 2187, 2944, 6534, 3704, 6071, 3825, 1955, 4262, 6744, 1074, 9156, 2722, 4475, 6718, 7516, 8650, 2481, 368, 8746, 3226, 196, 4896, 9128, 6452, 3426, 9321, 692, 2965, 329, 2670, 2199, 3609, 8536, 763, 9989, 2345, 4749, 2947, 1140, 2756, 8694, 5845, 583, 1675, 6666, 801, 5633, 1793, 6809, 1697, 5843, 3818, 7392, 8025, 4511, 2728, 291, 7761, 6886, 5486, 6645, 1523, 8550, 8310, 7054, 9789, 5896, 8290, 8706, 3814, 2294, 9053, 9189, 7835, 3562, 4855, 6852, 9438, 8136, 7080, 5203, 4646, 8497, 1177, 6659, 2669, 7983, 7933, 8986, 3024, 1405, 9079, 7602, 7951, 6342, 7793, 7527, 1976, 1612, 8517, 8390, 8837, 5537, 3374, 4640, 7688, 7347, 2653, 553, 9676, 5184, 4795, 5892, 637, 4261 ], [ 7449, 4712, 1967, 1476, 9640, 9220, 195, 9610, 5299, 487, 2405, 4167, 1333, 3448, 4451, 8921, 1742, 8207, 955, 4737, 5716, 4900, 4815, 1888, 9950, 1803, 7208, 4098, 5169, 1735, 3357, 9969, 1090, 4950, 1551, 1672, 1532, 884, 848, 6746, 9280, 9711, 532, 3480, 1013, 9770, 2634, 9675, 1416, 367, 860, 9185, 932, 5167, 2618, 6951, 7905, 6183, 1994, 2979, 2002, 8576, 5723, 1355, 5503, 3100, 7246, 6568, 5476, 5782, 5714, 2126, 227, 5444, 2638, 1460, 4714, 9617, 4485, 5294, 4077, 660, 9830, 9713, 7836, 3143, 4959, 3049, 1205, 9207, 7740, 7288, 1911, 8954, 2503, 9439, 7733, 6629, 4846, 8958, 5665, 9096, 1162, 2536, 9798, 813, 952, 4879, 3797, 5360, 4270, 6741, 6322, 2579, 4540, 8903, 3069, 3597, 4529, 4106, 156, 3996, 8442, 4463, 4783, 7171, 9297, 6490, 2341, 6823, 4, 366, 6795, 9975, 5465, 7820, 4779, 1657, 8820, 5307, 2318, 8584, 6989, 5589, 3272, 9312, 3747, 7780, 8156, 4482, 7072, 9514, 6235, 2226, 6227, 32, 7521, 2973, 8994, 2298, 6986, 4413, 1239, 5044, 9122, 8224, 2826, 9535, 9362, 8121, 450, 4172, 2050, 222, 9460, 3841, 9184, 9576, 3560, 4037, 6117, 5395, 8088, 2824, 5220, 397, 1418, 5664, 40, 7756, 456, 8514, 3515, 6080, 4129, 2879, 6712, 6804, 6373, 5640, 4808, 1509, 6138, 3473, 3461, 9469, 4164, 5706, 5253, 2787, 4412, 2931, 8672, 5079, 6161, 8916, 4727, 1891, 827, 3420, 5326, 6340, 4404, 6698, 6663, 6145, 6730, 2794, 224, 8345, 2998, 5534, 2642, 9020, 2462, 1902, 4141, 8031, 2384, 5869, 1732, 1022, 9800, 7200, 4418, 8476, 784, 5568, 2743, 4664, 8485, 5976, 5054, 2493, 7576, 4553, 7106, 4692, 4153, 7247, 6548, 3963, 1508, 4743, 3193, 3976, 5673, 7344, 7684, 9142, 3847, 191, 2591, 7832, 7778, 5667, 8860, 6413, 3235, 8274, 2935, 3148, 5842, 2809, 2385, 7552, 8814, 6300, 6801, 1650, 7465, 1781, 7241, 2958, 8662, 2070, 8715, 8561, 927, 3824, 5660, 5014, 8755, 4521, 7125, 3168, 8828, 1330, 7306, 8572, 1695, 6890, 8511, 1351, 775, 8565, 931, 1191, 249, 1411, 9842, 7169, 9331, 5, 3527, 9221, 9000, 8257, 2099, 461, 8120, 8735, 402, 1780, 8932, 4248, 8253, 3774, 8838, 174, 8878, 7121, 1770, 8286, 2561, 2300, 2431, 3323, 9270, 6308, 5730, 9489, 6967, 3099, 7275, 3313, 2900, 8614, 5428, 4466, 6276, 7207, 6127, 1150, 9823, 320, 1641, 2055, 7175, 1455, 3765, 6076, 3971, 4645, 3135, 7864, 498, 6937, 8822, 2540, 6395, 634, 8311, 3759, 7866, 8856, 4943, 3602, 909, 6529, 7640, 2972, 9880, 822, 9255, 392, 2696, 3534, 2043, 2264, 3666, 4336, 2263, 560, 5754, 5517, 6112, 4996, 5642, 2007, 8678, 7979, 8231, 3671, 1021, 8863, 276, 307, 8301, 698, 1377, 2202, 9522, 1166, 4278, 8771, 7450, 8799, 4479, 8909, 9202, 2180, 509, 7743, 5500, 247, 5908, 104, 3041, 4797, 2220, 7244, 4244, 8472, 2786, 4348, 8925, 5118, 9158, 5520, 9563, 1402, 6592, 9696, 7317, 6539, 5740, 2778, 1222, 8460, 3027, 4455, 4362, 351, 857, 8710, 5998, 4703, 4563, 9787, 2840, 2394, 7643, 6040, 64, 6372, 5090, 7102, 2719, 5675, 3413, 2195, 8267, 4052, 700, 6979, 3326, 4991, 648, 4169, 4807, 3054, 8123, 4780, 5612, 8019, 552, 267, 8518, 9146, 3522, 309, 407, 5437, 8865, 8116, 9404, 2006, 7875, 8533, 8526, 1762, 6846, 7939, 1709, 6312, 2127, 589, 8645, 8963, 7130, 5695, 5644, 4992, 3047, 9884, 8175, 9237, 4773, 9310, 5010, 5748, 4893, 3584, 7365, 9223, 804, 6425, 4080, 3220, 2687, 1261, 8235, 5017, 9140, 5505, 5682, 802, 989, 9819, 2526, 3699, 9951, 7387, 7285, 8997, 9902, 3223, 5347, 946, 9313, 1562, 8427, 6436, 3813, 8482, 1452, 7437, 8948, 9390, 3396, 2059, 8931, 9071, 5688, 8444, 5001, 7545, 9621, 3931, 4112, 5268, 3021, 5111, 7956, 2932, 5893, 6876, 8635, 4970, 2766, 2018, 9278, 2207, 1531, 7068, 3110, 4415, 1054, 6957, 4079, 8608, 7448, 3171, 2779, 7800, 8199, 7783, 7362, 6833, 107, 7926, 57, 8810, 971, 7166, 9387, 2381, 6113, 9226, 9724, 4632, 5492, 5506, 5259, 2400, 7736, 8447, 4159, 6421, 6708, 3101, 8619, 8080, 9003, 8741, 1155, 3929, 4294, 8429, 7282, 5656, 7250, 9857, 2142, 273, 5755, 7819, 9511, 4908, 7842, 9305, 7388, 6491, 3646, 2923, 9651, 6283, 8282, 746, 8017, 3275, 6570, 2373, 254, 6734, 7297, 561, 7303, 385, 719, 7991, 1754, 9385, 2508, 2602, 7837, 1403, 1329, 4238, 5011, 7043, 3247, 3662, 6263, 3200, 4163, 1759, 9246, 7999, 6090, 7949, 8169, 1490, 3989, 270, 3007, 9340, 1733, 4648, 6549, 5069, 5577, 98, 7607, 4281, 8013, 9757, 7027, 517, 7260, 1149, 7506, 6835, 7908, 963, 5929, 6827, 128, 916, 4622, 2417, 2748, 6408, 7525, 8607, 5932, 5793, 452, 6306, 8604, 7313, 1454, 5565, 7397, 7150, 8617, 1276, 940, 2160, 4905, 8468, 7881, 9927, 343, 1635, 418, 1127, 8781, 1170, 4072, 6580, 2632, 7227, 4915, 6154, 4375, 2905, 163, 4447, 5805, 5548, 9699, 3112, 3230, 1304, 5846, 2506, 2978, 5936, 3695, 8258, 3386, 4607, 6258, 3435, 1663, 7799, 1240, 3159, 5398, 15, 466, 1306, 6961, 2754, 8490, 7683, 2078, 2418, 8145, 3181, 8685, 1990, 8364, 6003, 4500, 1391, 1443, 8734, 5488, 2135, 2758, 877, 810, 9119, 8349, 7427, 2075, 2887, 6965, 4694, 6236, 8869, 3011, 6697, 4987, 949, 5559, 464, 9193, 3345, 5356, 6581, 53, 978, 5341, 9434, 8287, 7719, 5269, 8387, 7409, 6163, 1274, 8503, 7047, 6103, 3781, 5264, 9554, 4132, 5529, 8139, 5373, 8332, 5530, 5541, 3450, 7889, 8232, 859, 2538, 1847, 1526, 7468, 381, 6254, 2567, 630, 1963, 4602, 4687, 8682, 304, 4766, 7628, 7082, 5753, 375, 5441, 9216, 3521, 2281, 6519, 5781, 3779, 1621, 7715, 6946, 8688, 7915, 714, 8164, 3846, 3075, 9311, 2209, 9932, 7001, 3163, 7674, 2815, 3575, 9483, 934, 3760, 2606, 8307, 8871, 6766, 661, 4527, 1213, 0, 9896, 2470, 4793, 7352, 5293, 7925, 5988, 2497, 5630, 1332, 3379, 3639, 6754, 4025, 8605, 8894, 5877, 9415, 4102, 1129, 776, 4483, 2543, 7339, 341, 8288, 9042, 7817, 462, 9240, 6721, 8496, 6018, 8319, 9098, 5099, 5327, 5598, 3884, 5073, 4267, 240, 4144, 7364, 2929, 8059, 1893, 1841, 5074, 1491, 546, 711, 2895, 1814, 5423, 4599, 2715, 597, 5136, 3750, 5885, 9635, 2310, 5948, 1668, 975, 7757, 9878, 642, 9248, 1666, 8357, 7798, 8112, 8388, 444, 6513, 1184, 9944, 3772, 8323, 740, 5145, 6530, 7512, 5036, 4587, 8241, 5684, 3392, 5430, 499, 8697, 6357, 1406, 7661, 7438, 3375, 3307, 4799, 8044, 7772, 1053, 3725, 1512, 7192, 1027, 847, 5332, 4316, 9066, 5942, 3320, 657, 8826, 3853, 3680, 9802, 7726, 5302, 2843, 7941, 2768, 3999, 6104, 1611, 705, 8547, 2350, 7898, 6232, 3344, 9920, 7385, 2927, 7810, 4759, 2682, 2211, 9994, 7536, 4259, 2654, 4532, 140, 4555, 7373, 1183, 3022, 5306, 5964, 296, 5571, 416, 8386, 2040, 9892, 3870, 1503, 1535, 2441, 6048, 6189, 4343, 3191, 8359, 3460, 4548, 9038, 6249, 3589, 5544, 9781, 8030, 6325, 2061, 6109, 1268, 3489, 2008, 7903, 9044, 3487, 3890, 8437, 9104, 6524, 1172, 9628, 6571, 9667, 8473, 3980, 1061, 9022, 1016, 1783, 7178, 2975, 649, 5725, 5159, 355, 288, 4974, 8596, 3409, 7823, 7841, 6173, 2474, 9398, 8402, 9907, 3620, 8992, 2222, 8817, 7503, 4539, 5274, 7867, 5611, 604, 9620, 3667, 1670, 8989, 794, 5185, 4911, 7058, 7220, 9776, 2242, 6781, 4194, 4340, 20, 481, 9805, 2735, 1719, 5052, 2259, 1134, 6313, 8519, 5150, 5048, 2266, 6993, 8888, 6789, 7147, 4593, 3827, 2622, 2315, 9029, 4657, 5719, 9090, 8277, 9229, 7165, 2312, 1199, 5509, 2989, 9260, 3904, 2813, 146, 6867, 3072, 1645, 1937, 1832, 6577, 5526, 9855, 186, 9114, 8262, 6877, 3399, 2760, 8544, 2277, 1620, 9893, 5009, 7184, 6359, 5324, 1009, 2250, 6041, 5802, 1894, 181, 998, 2659, 3933, 3218, 8138, 7795, 5940, 9602, 6749, 1720, 8900, 4895, 2830, 177, 4462, 4140, 7019, 7316, 797, 1086, 895, 937, 347, 837, 7074, 5139, 5950, 8656, 8964, 9224, 7334, 3245, 8103, 3978, 9148, 5668, 8365, 6793, 8470, 754, 1901, 1507, 3031, 9661, 6582, 8058, 5177, 435, 9437, 1628, 6818, 5584, 6683, 9473, 3444, 80, 4935, 3911, 970, 2459, 3629, 5426, 7281, 795, 8527, 9215, 4246, 1469, 2862, 9825, 7470, 6973, 3780, 4014, 6143, 2452, 5329, 1914, 3749, 1721, 4303, 7011, 2903, 9779, 5242, 5240, 5610, 8379, 9127, 3285, 2601, 1305, 221, 3775, 3005, 544, 2117, 781, 9485, 2969, 7301, 2421, 2152, 6374, 1596, 5498, 2585, 1595, 826, 3286, 6945, 9888, 7570, 1408, 395, 4794, 2053, 4113, 4976, 2816, 2679, 6465, 157, 9289, 852, 3831, 425, 4993, 6084, 1259, 874, 1383, 6786, 1746, 8446, 4586, 4696, 9735, 1313, 6221, 4789, 7245, 1724, 6657, 7480, 3744, 6466, 4863, 3985, 3353, 3583, 3540, 3608, 2293, 5132, 5582, 3310, 5579, 7876, 5905, 831, 3701, 704, 2788, 749, 6938, 8988, 2732, 1900, 7492, 7981, 8500, 5056, 4128, 6869, 2249, 14, 5457, 8424, 6141, 5117, 7416, 8158, 4283, 679, 7695, 25, 2658, 4146, 9374, 411, 8769, 6525, 1751, 4232, 7974, 7279, 5922, 74, 5870, 1209, 1316, 1175, 7161, 882, 198, 6952, 9618, 7357, 8374, 3158, 5040, 2656, 3908, 6375, 8849, 382, 3315, 2976, 5906, 1445, 340, 5016, 1559, 4268, 8693, 8343, 1389, 2164, 3524, 3804, 1019, 5807, 6881, 7267, 8266, 2204, 7323, 830, 8361, 6309, 602, 4335, 1254, 6051, 7666, 5193, 2014, 4983, 812, 1196, 4314, 2657, 6868, 6166, 7298, 2109, 91, 9887, 2025, 3982, 1381, 7664, 6843, 2261, 1030, 5026, 4674, 5597, 5310, 4982, 7850, 2485, 880, 8384, 5847, 4635, 1738, 9551, 4135, 7501, 7469, 2697, 7310, 6339, 7139, 7508, 3854, 234, 3381, 761, 1538, 6310, 7312, 5125, 1700, 4719, 8737, 3029, 1682, 663, 8676, 8381, 3566, 5538, 7569, 7407, 1515, 364, 4702, 9363, 1935, 2510, 9526, 295, 7571, 843, 3240, 6816, 1710, 3301, 2594, 1338, 6137, 9977, 8449, 1623, 3364, 6617, 4854, 9103, 7646, 7024, 3672, 9283, 1048, 4573, 751, 119, 6129, 4924, 7896, 9298, 4021, 8973, 8618, 218, 8627, 438, 1088, 7265, 9844, 2913, 9518, 6294, 8483, 7212, 4917, 4220, 8450, 2882, 7459, 7768, 8133, 7590, 6023, 599, 388, 6265, 4287, 5105, 6379, 5445, 708, 1630, 2812, 8243, 161, 2814, 4085, 8100, 4715, 5300, 6162, 9917, 1711, 8174, 5757, 1748, 9741, 6433, 8009, 7581, 8458, 9615, 3217, 7326, 4468, 2210, 805, 3851, 134, 764, 2881, 9502, 147, 9269, 3834, 8521, 4233, 6039, 1320, 1326, 5808, 6010, 9681, 5917, 4075, 2032, 1922, 8481, 5773, 8099, 758, 7103, 7274, 2299, 6996, 656, 2158, 8724, 4979, 3430, 8587, 4215, 2336, 3599, 7224, 1231, 1850, 9498, 5849, 89, 2044, 8193, 1341, 8730, 5770, 997, 6406, 503, 8299, 4885, 5012, 2828, 8732, 3648, 1269, 9236, 1287, 9758, 302, 1063, 3405, 2436, 6321, 5796, 4334, 7090, 7868, 4006, 5109, 420, 1533, 7446, 17, 1728, 9685, 8623, 670, 1265, 4031, 7338, 6494, 2949, 8700, 3126, 706, 633, 2289, 4953, 941, 1580, 7355, 1357, 6753, 2749, 6250, 7476, 6518, 5484, 1186, 2970, 2076, 8153, 993, 3812, 5607, 3733, 7629, 791, 127, 7026, 1845, 294, 7869, 3067, 4615, 5711, 7097, 6388, 9987, 624, 6725, 3505, 6509, 2275, 9851, 7188, 2639, 862, 2376, 9475, 8360, 8562, 9607, 6033, 3657, 7523, 3739, 6349, 8806, 2673, 44, 4417, 7126, 3070, 3690, 5420, 2311, 7724, 3689, 8451, 2827, 3243, 5511, 8351, 7277, 45, 6449, 9948, 7833, 7923, 4263, 1393, 2604, 7963, 2890, 256, 9271, 9360, 3508, 1708, 6218, 9665, 9624, 5191, 1939, 3582, 5325, 8785, 5237, 4961, 5260, 2700, 7918, 5113, 4257, 3945, 5119, 3433, 210, 3572, 1560, 7321, 9555, 3325, 3363, 5635, 7252, 5655, 4852, 2916, 2818, 3361, 26, 4524, 1203, 2022, 4841, 3316, 6016, 6609, 9636, 7109, 1524, 5202, 8249, 2367, 2145, 3445, 2635, 2121, 4938, 6498, 2047, 1246, 9647, 1996, 6473, 2811, 2966, 5817, 7135, 1487, 2237, 6291, 2852, 8358, 8111, 3136, 8034, 2963, 5949, 9838, 505, 650, 8322, 815, 280, 1206, 9811, 2454, 9320, 8641, 6516, 1093, 3637, 1168, 6057, 6311, 2093, 5007, 8486, 4299, 8155, 2240, 7052, 9178, 8471, 9168, 5775, 4376, 1722, 8183, 5631, 8454, 4063, 2736, 8804, 2451, 3605, 520, 8756, 9853, 9450, 6052, 2143, 8039, 9373, 5092, 6757, 1998, 4963, 4525, 1472, 5006, 1141, 2178, 5352, 4034, 1167, 4381, 3563, 9671, 2804, 954, 1552, 3250, 5550, 7107, 8976, 6353, 8890, 5886, 212, 7153, 6315, 5984, 3835, 2727, 1214, 2041, 7484, 8626, 1081, 1777, 3621, 5995, 1125, 568, 7499, 6093, 9341, 5712, 6826, 4918, 3403, 4772, 6737, 6268, 486, 6619, 4176, 3121, 8363, 8528, 3347, 3262, 8919, 1800, 8291, 83, 6344, 8469, 983, 7849, 7493, 2608, 2562, 1881, 2995, 4120, 3267, 9630, 1826, 1110, 9194, 1146, 2048, 4965, 6142, 3085, 6665, 3397, 6267, 6320, 9024, 5910, 2667, 2380, 152, 4484, 7919, 379, 5774, 6508, 5394, 958, 3879, 4820, 8479, 8731, 5661, 7223, 7897, 3333, 4667, 8089, 9151, 2614, 9206, 6105, 4275, 9797, 99, 8905, 2478, 6435, 1871, 6747, 5931, 2874, 1846, 9121, 446, 7703, 3855, 6074, 623, 3544, 8874, 1629, 5829, 8705, 2371, 169, 4941, 926, 1169, 7882, 6822, 8161, 7417, 7383, 4588, 5652, 1631, 35, 5229, 9416 ], [ 4366, 7977, 9264, 5290, 2305, 3958, 537, 4104, 4508, 3401, 9765, 868, 7424, 5590, 9586, 3147, 2015, 9834, 7009, 9984, 6132, 7170, 4217, 7541, 4526, 4568, 7622, 7379, 2062, 9281, 818, 1974, 4448, 9004, 3533, 4317, 6008, 2514, 1007, 2433, 6751, 7678, 9991, 5821, 578, 556, 2054, 2535, 5986, 3016, 9891, 790, 4481, 1626, 2005, 8052, 876, 7209, 8216, 1270, 5066, 9544, 8071, 8944, 3160, 9430, 6317, 217, 2533, 6331, 988, 8792, 1302, 6676, 7412, 434, 4352, 9392, 386, 2922, 5731, 52, 7187, 6727, 8398, 4093, 7814, 9010, 842, 2438, 8362, 3490, 9732, 2271, 1207, 7393, 5393, 5898, 2430, 6216, 8630, 9213, 5178, 2708, 703, 1202, 5188, 2504, 3431, 2295, 7686, 405, 4457, 9471, 6500, 2644, 8306, 5375, 7720, 2619, 299, 9772, 7965, 5569, 451, 9656, 7031, 1743, 5914, 6261, 3196, 695, 3755, 275, 3111, 5978, 3523, 179, 8167, 664, 7261, 2273, 7505, 785, 2197, 5819, 5149, 245, 5210, 4691, 6634, 3271, 9625, 591, 736, 5866, 5872, 1696, 3553, 9288, 4008, 7675, 9258, 100, 7053, 2219, 675, 4973, 3585, 5142, 8818, 9572, 6596, 3478, 2524, 9900, 5834, 9036, 4439, 6820, 984, 4812, 182, 1760, 3288, 7920, 5724, 469, 4531, 5433, 6643, 9898, 1032, 5941, 2886, 325, 9008, 2507, 3023, 5168, 4136, 4698, 4341, 3038, 2800, 1867, 4677, 992, 6939, 5440, 9366, 7029, 9076, 3703, 2613, 9023, 2169, 3598, 9836, 8978, 4202, 9059, 5200, 8157, 7716, 3157, 1346, 779, 4862, 523, 7988, 734, 2859, 4765, 1137, 7163, 4359, 4954, 1502, 8906, 9402, 9940, 6641, 4589, 8622, 1731, 1482, 7972, 8147, 4363, 3019, 300, 6603, 4951, 7382, 1736, 9045, 4565, 5468, 4033, 3013, 7155, 1068, 4321, 5481, 7236, 1920, 1331, 3723, 432, 6537, 8104, 4832, 1485, 5207, 5813, 8744, 1554, 1750, 5980, 6027, 480, 6879, 2745, 4165, 5603, 7324, 2576, 3062, 3494, 3451, 3900, 4937, 1117, 9919, 7269, 9683, 7976, 2013, 3258, 1099, 1882, 8185, 2133, 8529, 2079, 408, 9175, 2107, 4835, 103, 8259, 3810, 6101, 948, 6839, 2190, 4978, 2943, 7950, 3402, 3617, 5557, 4958, 7532, 5475, 9231, 77, 2991, 316, 6541, 730, 5251, 8020, 2940, 9166, 8115, 7253, 8356, 3930, 4866, 9848, 1506, 7694, 7418, 8842, 5314, 7813, 3736, 5082, 1062, 5064, 9043, 9597, 9037, 1187, 6029, 197, 9993, 362, 1982, 5277, 7744, 3483, 8037, 6902, 4837, 2147, 7145, 5195, 9428, 2713, 5172, 3592, 2039, 3359, 6448, 7529, 3499, 4520, 4798, 459, 4276, 5121, 2404, 8647, 6259, 342, 2988, 5094, 4486, 9748, 6861, 7542, 3231, 6064, 8048, 431, 9632, 4676, 9287, 4073, 6376, 752, 8821, 8423, 2229, 9510, 1128, 3752, 3406, 9265, 4514, 9718, 5574, 3965, 378, 319, 2539, 6086, 219, 5826, 4786, 8318, 1927, 3941, 7879, 4213, 5204, 4688, 8578, 7655, 8428, 4151, 3116, 114, 3917, 285, 6073, 7372, 1825, 228, 7637, 9143, 8800, 6245, 8966, 8024, 5696, 8961, 7180, 8320, 1585, 4636, 9871, 3482, 759, 8118, 8043, 2580, 200, 8172, 3174, 3020, 7013, 789, 7217, 1143, 9453, 9187, 4293, 5576, 8416, 1158, 5953, 4247, 5442, 7264, 6803, 6894, 7985, 2699, 601, 412, 1492, 7649, 7374, 7788, 2636, 9992, 8666, 6440, 4048, 5197, 2246, 5858, 2140, 6752, 7, 5874, 6614, 5096, 6075, 9316, 5234, 4453, 6849, 9996, 261, 707, 6296, 8086, 8974, 1396, 3428, 1966, 1153, 5692, 5212, 5621, 6365, 4975, 1130, 6188, 4806, 8022, 8421, 1462, 6736, 383, 9308, 9263, 255, 6555, 2676, 726, 9117, 207, 143, 5968, 7005, 6455, 3961, 3477, 9577, 605, 6931, 5205, 9130, 9057, 732, 7767, 3677, 8091, 3590, 5449, 4839, 9002, 4720, 2629, 3039, 1561, 4084, 4100, 6684, 669, 9344, 968, 1652, 8380, 8513, 6045, 6970, 7039, 9446, 4445, 1607, 8827, 4574, 5662, 866, 7840, 696, 820, 9930, 3790, 359, 5439, 7278, 4736, 5480, 3319, 5496, 4840, 6887, 1173, 6049, 3786, 9688, 7249, 559, 1806, 2166, 6981, 6770, 5651, 994, 5587, 2379, 1369, 1034, 4438, 306, 2122, 2581, 9367, 8767, 9291, 1740, 3859, 9017, 4339, 1017, 8215, 8933, 6367, 855, 9499, 2291, 525, 6197, 6631, 7295, 4701, 1386, 4470, 7426, 2227, 1311, 160, 3481, 6168, 5979, 772, 8923, 9470, 3349, 6935, 7693, 9974, 1795, 9342, 3242, 760, 9913, 7557, 3922, 9228, 3573, 1474, 2185, 9914, 5963, 6043, 2856, 2239, 6924, 4523, 3571, 6860, 6648, 9682, 2156, 7549, 5165, 7041, 2537, 9684, 5586, 4818, 5387, 4654, 6124, 3324, 3998, 167, 63, 9461, 1659, 9868, 3681, 917, 12, 9599, 5969, 2427, 2776, 3336, 4591, 7120, 3651, 5321, 4948, 1058, 5925, 4099, 6239, 5414, 2443, 6828, 4513, 8186, 6514, 8692, 8847, 7520, 5560, 3464, 6244, 4326, 7428, 5670, 2868, 538, 1020, 8096, 6442, 6941, 310, 3839, 9009, 9733, 8713, 9674, 1152, 3369, 9852, 961, 9026, 6896, 2003, 4328, 8480, 5839, 951, 3484, 6680, 7062, 9850, 2851, 3400, 9716, 8010, 6011, 1694, 2347, 1410, 214, 5000, 6364, 7658, 5072, 7085, 9799, 2020, 8218, 7852, 2849, 8064, 6046, 4813, 433, 5596, 4346, 9812, 945, 4660, 3165, 6907, 625, 555, 1271, 614, 9421, 76, 6091, 7328, 3643, 2458, 7439, 2734, 427, 9335, 9584, 9476, 977, 2765, 9494, 8882, 3367, 2783, 5897, 8281, 2521, 3309, 9301, 3434, 3596, 9417, 4945, 1656, 869, 1787, 1739, 6573, 9717, 6366, 1860, 683, 3164, 3858, 8143, 4889, 5298, 3441, 5478, 6171, 1387, 7645, 2243, 9633, 8707, 7353, 6925, 9587, 3102, 5296, 7294, 6842, 2570, 3108, 6464, 6233, 4197, 2224, 841, 8928, 9072, 5575, 9692, 3269, 5337, 6802, 7137, 1255, 2071, 2077, 5155, 9242, 8425, 3354, 3035, 5996, 2662, 3714, 9159, 7654, 4133, 1004, 231, 7086, 6179, 3365, 2203, 4650, 1297, 244, 2398, 4777, 129, 5985, 2795, 4762, 3665, 1909, 2096, 8917, 9276, 3708, 5144, 4028, 2740, 8003, 8858, 54, 3788, 7035, 8457, 9849, 4528, 6099, 4185, 3419, 2366, 1677, 6061, 6383, 3177, 7404, 449, 4452, 1765, 9575, 8404, 2278, 3068, 2290, 565, 1701, 2928, 6976, 3661, 7656, 2541, 3318, 6882, 9013, 4709, 9423, 5355, 5022, 643, 1704, 5832, 4446, 5810, 5097, 4838, 4929, 2245, 5093, 6352, 3077, 5098, 7582, 5825, 2225, 9549, 8023, 9343, 3611, 7585, 60, 803, 7403, 8407, 9181, 8803, 5106, 9937, 6995, 6335, 9330, 5540, 8212, 1665, 1674, 9720, 5160, 7070, 9702, 3474, 68, 9376, 5700, 7865, 5919, 4323, 4174, 3002, 6855, 1139, 7676, 3188, 6208, 5133, 1039, 8684, 6262, 4730, 1899, 9579, 6419, 6299, 7440, 7075, 9322, 728, 490, 5717, 2065, 1385, 7181, 3513, 3182, 2709, 7651, 2251, 9719, 2665, 470, 3715, 6533, 5490, 5855, 7616, 8896, 8272, 5344, 1264, 4673, 4286, 9866, 2566, 1600, 8783, 3004, 7847, 5173, 5201, 4932, 5762, 7346, 4651, 2339, 6807, 6405, 1688, 5768, 2216, 9074, 7115, 5804, 4916, 1727, 5291, 5473, 5143, 5784, 4096, 8049, 1647, 8146, 8254, 6544, 4130, 5637, 6591, 6503, 3658, 4647, 9626, 3290, 8304, 4747, 577, 5697, 3717, 3896, 7763, 2236, 34, 8090, 7618, 4065, 2262, 5718, 8435, 2920, 3670, 8339, 9424, 9085, 4461, 3270, 3652, 5601, 9894, 4027, 893, 5676, 4090, 4142, 6474, 3712, 5287, 1753, 5794, 263, 5736, 9653, 3710, 5887, 545, 1566, 1833, 9091, 2358, 5795, 9854, 7432, 7336, 1556, 9217, 4919, 3137, 7635, 2081, 8188, 6625, 2544, 8920, 9990, 2767, 3586, 1011, 9353, 4364, 6792, 6859, 3156, 7179, 8793, 2476, 1961, 1251, 6774, 8861, 7704, 4180, 722, 8515, 1493, 2517, 8124, 894, 8264, 3251, 7018, 2105, 4183, 6181, 8284, 5227, 5895, 7677, 4062, 4878, 8372, 236, 1282, 1045, 1703, 6370, 5535, 4600, 3514, 3059, 1827, 4109, 2162, 8036, 6675, 2833, 3743, 9087, 6944, 9336, 8433, 3654, 2731, 5348, 9693, 238, 7335, 7751, 863, 1204, 2846, 4690, 8038, 9650, 4480, 1494, 6468, 1862, 9928, 6396, 6012, 3291, 2401, 1520, 7613, 6745, 1917, 9383, 8326, 7482, 9011, 171, 1263, 7340, 7151, 3356, 5959, 5533, 2309, 5471, 260, 8636, 4487, 1988, 4474, 4396, 3037, 9658, 7555, 4936, 8642, 2674, 4594, 5305, 5776, 8716, 6066, 4745, 1354, 8340, 7197, 8309, 1358, 9039, 9063, 7309, 4755, 419, 2584, 7706, 6418, 3380, 6918, 6454, 8914, 2819, 2393, 9926, 4237, 2617, 1245, 9912, 2372, 5570, 8766, 858, 2098, 4423, 2897, 3792, 2457, 1233, 1447, 3222, 5977, 6333, 6217, 2803, 850, 867, 4853, 2091, 3389, 8204, 638, 7653, 4370, 9527, 1262, 6085, 1278, 6444, 9873, 7851, 8430, 2738, 7084, 8848, 9727, 6932, 8401, 8581, 9864, 5994, 1318, 8553, 5549, 6923, 3873, 448, 7093, 9509, 8857, 2086, 8126, 1910, 1785, 2752, 7003, 3149, 3042, 5127, 8342, 1449, 8782, 2046, 7612, 6962, 7764, 6620, 1741, 9317, 1420, 724, 6763, 7076, 5151, 7690, 4942, 7600, 7164, 3025, 8895, 4349, 7182, 4604, 1797, 8108, 3378, 7319, 7044, 3935, 7953, 2392, 2479, 7692, 1897, 8602, 3709, 7098, 9464, 7445, 58, 8798, 8760, 7702, 9923, 2335, 8397, 9014, 7515, 9368, 1890, 4659, 8152, 7544, 9520, 7511, 3125, 5765, 6114, 8285, 2912, 8892, 175, 2690, 6499, 2942, 7712, 5225, 3408, 5429, 953, 914, 3083, 9545, 7191, 6434, 5563, 646, 5386, 2402, 2302, 1484, 8679, 2793, 1363, 4928, 4319, 130, 7015, 1769, 4675, 8609, 472, 9300, 2432, 8154, 5335, 9027, 8237, 1238, 8163, 1495, 313, 6642, 5822, 1980, 9666, 7890, 1658, 8912, 3012, 3124, 3154, 5134, 7287, 1923, 6044, 8459, 8178, 1366, 6654, 7826, 2125, 8000, 7271, 6966, 7276, 7681, 3554, 3208, 3432, 9147, 1954, 1637, 7931, 9078, 5799, 3360, 2637, 1962, 7048, 4240, 9188, 569, 8012, 488, 184, 5180, 305, 1288, 9730, 2111, 298, 5153, 6729, 4809, 9490, 7350, 774, 9934, 6733, 7378, 9131, 3195, 187, 4666, 6813, 6184, 8403, 8333, 5806, 7789, 6252, 4393, 7626, 4138, 1944, 6336, 3934, 7565, 9007, 9867, 5815, 6700, 9480, 5974, 2232, 226, 8975, 474, 2087, 2449, 4467, 1801, 4788, 5627, 96, 6671, 3322, 4307, 1865, 2024, 1866, 1870, 9332, 9946, 4050, 4547, 4906, 2531, 1161, 5947, 1069, 4543, 1614, 3119, 173, 3304, 2182, 4051, 5427, 4969, 8102, 4416, 6347, 6612, 9960, 723, 1384, 3630, 9361, 1215, 1737, 3263, 1078, 8230, 4184, 5654, 6182, 829, 6870, 6450, 8477, 8200, 622, 9964, 7413, 4757, 6848, 8053, 3719, 4414, 6497, 7032, 6543, 9714, 8078, 2915, 8655, 7354, 7466, 3964, 4628, 9492, 3762, 4617, 3735, 6845, 3500, 4914, 7255, 209, 8567, 4566, 4436, 8439, 7608, 7986, 6083, 242, 7092, 9212, 4107, 5704, 1723, 1947, 5515, 2894, 3033, 7509, 6688, 4302, 5745, 3970, 7811, 1132, 2974, 7873, 2434, 6148, 5671, 3289, 8824, 4081, 9761, 8946, 3615, 29, 6880, 7831, 3918, 484, 277, 5921, 930, 4822, 2575, 512, 3822, 5265, 8344, 8592, 259, 9204, 1087, 3535, 9795, 1281, 864, 2425, 4296, 814, 1295, 1002, 9704, 5380, 1094, 1602, 8177, 1755, 7723, 8558, 9981, 4764, 4802, 1959, 2001, 8410, 4811, 574, 1180, 5623, 8201, 7937, 1804, 3506, 3090, 426, 4271, 4469, 7455, 2383, 4892, 2705, 5859, 81, 6272, 8062, 4582, 7917, 1089, 7143, 142, 1545, 3202, 7644, 933, 6810, 2177, 7263, 7663, 1256, 396, 7802, 5182, 4590, 6564, 2704, 6170, 7871, 535, 4269, 2867, 3624, 8633, 4570, 4306, 2123, 8026, 4218, 6472, 8206, 2472, 3564, 8422, 8836, 3028, 2646, 3951, 4860, 8926, 6797, 6559, 974, 5267, 4827, 6760, 6658, 8453, 9874, 9273, 8901, 1176, 1794, 2919, 4713, 4301, 7885, 9525, 7769, 2609, 6814, 8192, 8825, 2763, 8392, 2839, 647, 6863, 6515, 110, 5152, 1138, 3526, 8739, 4684, 8996, 5636, 3692, 7290, 5453, 1873, 3439, 6047, 13, 8704, 6656, 5470, 8681, 2363, 380, 2031, 4913, 3297, 2641, 9677, 11, 7880, 3678, 8128, 9958, 9708, 8137, 5547, 6270, 7982, 6461, 3279, 942, 6369, 6776, 9467, 482, 3117, 9700, 689, 5853, 2241, 576, 1122, 2649, 4680, 1200, 8210, 4082, 5593, 8110, 8228, 4071, 2181, 4926, 5219, 7603, 4947, 652, 3190, 2885, 8270, 9275, 1953, 8233, 6274, 3244, 8341, 5462, 690, 7700, 9698, 7774, 9318, 919, 148, 8190, 8632, 1971, 8745, 326, 2498, 1689, 2502, 2085, 1542, 3466, 7900, 7944, 7134, 2853, 777, 3984, 3595, 2255, 5065, 9290, 6019, 8575, 5551, 4576, 9425, 9354, 2138, 9978, 8114, 9753, 8523, 8823, 2835, 467, 31, 6847, 7559, 3311, 5507, 6800, 879, 2597, 93, 8057, 1889, 97, 1835, 5715, 1934, 4399, 3061, 6505, 9877, 3872, 8801, 4710, 3455, 4658, 8168, 3166, 5058, 442, 7942, 5989, 5912, 5331, 5961, 1563, 7483, 3663, 1422, 3283, 6060, 4639, 3778, 3696, 3427, 8727, 1226, 5693, 9876, 3169, 9501, 4097, 1426, 7016, 1461, 8530, 2386, 3875, 1986, 4968, 9126, 4407, 4618, 9922, 8373, 6719, 4190, 2355, 1608, 2080, 79, 4931, 7494, 6192, 7391, 2167, 4708, 3607, 2326, 7077, 1877, 3141, 7069, 9918, 739, 9314, 518, 1478, 5033, 2551, 7563, 3745, 7948, 7451, 4700, 2564, 686, 5157, 9712, 8922, 479, 5720, 6067, 2429, 1537, 1861, 2423, 1558, 3898, 2370, 540, 1788, 5502, 757, 9881, 3026, 2196, 4760, 1079, 8176, 721, 5527, 5243, 2675, 8065, 4512, 7305, 5735, 5600, 4361, 5889, 4746, 9191, 2268, 9810, 5751, 1768, 8959, 737, 4661, 6476, 2174, 9183, 5316, 3335, 1858, 5175, 1758, 2742, 7004, 8412, 8772, 4613, 6202, 2896, 2155, 1819, 4460, 4203, 8677, 5649, 1434, 5309, 3330, 9552, 7755, 9105, 3789, 2338, 5101, 6087, 1943, 6572 ], [ 8588, 9448, 8227, 1201, 7573, 5262, 2854, 9442, 4038, 6479, 9817, 519, 920, 269, 7863, 7698, 4672, 2547, 7194, 7330, 5415, 5046, 4972, 5019, 7061, 5390, 5737, 6346, 8574, 9600, 8369, 9863, 9886, 7037, 8211, 4496, 3000, 8117, 7701, 7533, 918, 2777, 5790, 2244, 9945, 1489, 2351, 7892, 7028, 8670, 4280, 4776, 7593, 5034, 8283, 204, 4069, 7332, 4769, 6164, 8949, 4732, 8598, 4534, 8773, 4704, 8649, 5095, 2938, 9644, 7957, 9400, 1834, 2773, 8305, 183, 1669, 3470, 1501, 4430, 1432, 3050, 4324, 7696, 6038, 4200, 1133, 7067, 8970, 8466, 4029, 885, 2904, 3471, 8834, 7057, 3185, 3547, 7239, 413, 4771, 8657, 4231, 5491, 7722, 9352, 5833, 5286, 9083, 2282, 6496, 5982, 7193, 6758, 8347, 4601, 241, 8197, 6475, 3587, 9988, 9824, 2781, 5288, 1112, 7020, 4605, 6470, 6446, 6837, 5619, 6832, 8060, 3664, 7463, 5129, 9642, 1617, 5228, 6231, 4044, 8041, 6063, 6865, 4279, 7825, 7870, 2131, 1644, 2461, 9827, 9546, 3232, 6840, 6001, 7773, 3338, 1544, 1908, 6089, 6059, 2799, 7196, 9052, 9245, 828, 524, 3826, 1103, 897, 7775, 2716, 7537, 7371, 3014, 6761, 9171, 36, 6679, 6866, 5732, 7579, 9943, 471, 4125, 9414, 1123, 2208, 3702, 6703, 4922, 6456, 7652, 9669, 9592, 2403, 766, 8840, 905, 4829, 3277, 7396, 8573, 8891, 7859, 8226, 6858, 139, 1283, 8751, 9133, 7922, 1983, 9408, 8093, 6728, 369, 7729, 4850, 6563, 8532, 8101, 1876, 1570, 872, 3959, 1362, 137, 6226, 693, 547, 3479, 3883, 6873, 9835, 7243, 1111, 5971, 3867, 6397, 1395, 51, 9749, 8487, 3092, 898, 5061, 149, 6160, 9537, 6355, 4619, 2834, 662, 6467, 9196, 6624, 4427, 9710, 8494, 9232, 5991, 2465, 3216, 4685, 8571, 8841, 6841, 3501, 5334, 3625, 18, 9986, 5263, 3626, 2212, 3815, 7754, 7133, 7759, 1118, 4360, 4421, 1480, 6210, 2891, 3300, 640, 7770, 1815, 9939, 1043, 6115, 3153, 5741, 7779, 6430, 1378, 4357, 6947, 7741, 9806, 6070, 4559, 1798, 2066, 5532, 5391, 7894, 5767, 3650, 3545, 2191, 571, 9306, 6798, 9468, 5585, 2348, 7680, 3488, 4290, 3088, 2095, 8509, 8765, 3256, 5783, 2599, 8440, 3614, 7732, 5487, 5124, 6857, 620, 7697, 2692, 7021, 6478, 7648, 7940, 2710, 5140, 2276, 1285, 1000, 3342, 9979, 6551, 1249, 4154, 2163, 2447, 2884, 8937, 3844, 2872, 3676, 6447, 3253, 2084, 9778, 3753, 9820, 2146, 7050, 3018, 9933, 1808, 4614, 4831, 485, 4219, 7886, 7280, 5863, 2511, 741, 9828, 3246, 1905, 4711, 6633, 422, 8367, 2488, 4199, 8502, 4890, 8832, 3383, 1073, 8160, 447, 2233, 6605, 6178, 3519, 8512, 9856, 229, 243, 1353, 1679, 2902, 1075, 8113, 782, 713, 5552, 567, 1451, 729, 2453, 9451, 8873, 4721, 8280, 185, 9025, 7327, 3064, 3425, 5708, 9558, 3756, 6362, 6636, 1930, 8289, 3537, 6953, 2231, 1887, 9155, 7089, 629, 3906, 8465, 9084, 7936, 4187, 7488, 145, 1796, 5938, 5513, 5483, 1310, 3, 2170, 5353, 9860, 7235, 5354, 2888, 4642, 7131, 3463, 3355, 3940, 337, 6458, 8245, 6769, 2550, 265, 2720, 7911, 2247, 410, 373, 9697, 7240, 658, 5235, 8758, 5466, 3569, 4644, 3633, 1648, 778, 7071, 3421, 4245, 8797, 6669, 2159, 9564, 5084, 7045, 2288, 5937, 9997, 3001, 2328, 9963, 3990, 9082, 7899, 4921, 9164, 7497, 1516, 2397, 4429, 1583, 7124, 5381, 3352, 7994, 3437, 4070, 5192, 1324, 3724, 8780, 3919, 6028, 1734, 4344, 1680, 645, 9804, 7213, 8750, 6678, 9365, 2952, 9803, 2789, 6936, 1690, 9562, 9729, 2094, 8055, 2004, 4546, 6158, 1775, 5518, 9077, 7980, 6540, 521, 5083, 1470, 3398, 8092, 6100, 6207, 3155, 4035, 1394, 7116, 594, 125, 8506, 6808, 2455, 2460, 4078, 1936, 9673, 6899, 8904, 1390, 7745, 9879, 5035, 7984, 9252, 996, 1978, 6788, 4616, 907, 1208, 1553, 838, 1643, 478, 9725, 563, 9568, 9118, 9065, 2721, 7588, 3816, 9559, 3757, 7610, 8556, 6904, 202, 7399, 5289, 3806, 2967, 5788, 6661, 6441, 321, 2643, 5786, 4116, 4596, 6889, 3722, 9339, 1350, 1582, 3407, 8084, 8414, 5087, 8375, 6583, 9792, 9060, 8831, 8886, 3693, 5467, 9334, 301, 9890, 887, 8353, 1198, 7300, 2419, 2033, 6872, 3278, 8495, 7591, 7738, 5110, 1116, 4781, 6195, 4476, 5257, 4545, 6756, 5777, 1289, 4627, 986, 3229, 5844, 9364, 1084, 9445, 7199, 2150, 8194, 7632, 5318, 1236, 9218, 7073, 3988, 455, 618, 9323, 7782, 3686, 1713, 7808, 1055, 1372, 7943, 5721, 8346, 8413, 5067, 3287, 7615, 3009, 3224, 2648, 4901, 1664, 2837, 846, 6693, 8984, 3685, 1056, 2074, 6081, 4094, 4756, 4019, 3565, 8411, 8962, 7709, 3114, 9099, 8805, 4751, 1104, 5876, 3700, 694, 5689, 6998, 253, 1397, 2733, 2052, 158, 67, 8709, 3539, 9110, 3334, 2750, 9995, 1003, 6717, 655, 5645, 533, 6610, 4123, 5435, 7337, 8501, 2214, 3452, 9504, 8085, 4011, 2593, 8474, 504, 709, 6025, 4638, 1984, 9818, 6088, 5681, 5561, 6380, 9436, 2049, 5743, 9375, 3184, 4761, 7604, 8859, 6415, 7990, 6616, 6037, 5070, 7325, 6293, 1985, 4774, 925, 5050, 4371, 1135, 2825, 8348, 7797, 4825, 6126, 3034, 3204, 4001, 2168, 4686, 3516, 3820, 1060, 2354, 3186, 2349, 1749, 2064, 144, 9622, 3443, 9505, 223, 947, 9086, 9338, 65, 2684, 2343, 4944, 8354, 5981, 2083, 7938, 2375, 3056, 8669, 4273, 9413, 6930, 8985, 9247, 5613, 5272, 9957, 5413, 70, 1440, 121, 7540, 9786, 5156, 1102, 360, 2908, 1066, 1071, 1210, 6912, 2807, 4285, 6247, 3411, 6361, 8646, 3172, 3130, 5882, 458, 3212, 5250, 4844, 2132, 7128, 6255, 8075, 8505, 6077, 2364, 28, 3877, 2563, 356, 6906, 6055, 1950, 6165, 6319, 47, 939, 2845, 6125, 7406, 2615, 7405, 8325, 8743, 78, 7272, 5564, 8835, 5701, 2964, 1105, 9401, 1435, 4292, 3030, 5443, 3060, 3946, 9791, 2274, 9073, 1436, 1229, 1382, 5935, 4433, 8331, 1632, 5566, 8079, 8452, 6432, 3730, 6209, 5346, 9746, 6134, 5699, 1812, 7633, 4801, 2702, 8337, 5628, 3939, 6686, 1106, 3128, 1692, 3628, 492, 6644, 9905, 5209, 281, 5215, 5323, 2930, 7671, 8265, 1379, 1634, 6215, 6898, 7614, 5514, 674, 5539, 635, 756, 956, 4679, 9734, 344, 8563, 2553, 336, 4389, 2254, 1903, 5412, 4076, 398, 1979, 6394, 6980, 3259, 673, 9070, 7055, 702, 2068, 8991, 6673, 6601, 6594, 5918, 6285, 5710, 8159, 1667, 2238, 9649, 9941, 3152, 2664, 6755, 5666, 2850, 5141, 2555, 2977, 7883, 8229, 3257, 2200, 6950, 3576, 3238, 9773, 1557, 9274, 3346, 5292, 1633, 9496, 6565, 1126, 251, 59, 5357, 1784, 4964, 5926, 8631, 8659, 3697, 541, 4330, 1475, 8788, 3698, 2260, 3754, 8222, 6542, 2287, 9487, 4858, 5960, 3823, 967, 5879, 9466, 92, 1290, 8484, 3371, 3861, 3194, 7895, 4873, 6020, 935, 7433, 495, 8240, 7401, 5218, 2857, 3640, 3869, 9349, 7038, 4431, 5464, 9358, 3362, 8256, 4569, 6135, 6689, 8893, 9858, 3485, 2821, 6, 5081, 1404, 8001, 811, 7065, 2607, 4272, 4597, 3659, 3802, 3619, 543, 817, 2701, 5174, 2957, 9286, 8, 8634, 8396, 7522, 5419, 8507, 6203, 5728, 8877, 5186, 5626, 6180, 2672, 3456, 9328, 7553, 7562, 266, 6532, 8027, 1949, 798, 3995, 7791, 9883, 3796, 7946, 1567, 1380, 4053, 875, 493, 1997, 188, 908, 1975, 7454, 612, 4957, 6713, 3862, 3948, 665, 8329, 9046, 8018, 278, 1586, 2424, 6304, 1646, 5703, 7846, 7377, 2258, 8061, 3495, 1518, 2899, 4552, 4327, 3969, 1869, 7727, 3449, 3071, 6058, 1571, 5827, 4016, 8135, 6026, 4939, 6356, 4836, 2218, 1423, 1829, 3260, 9395, 1374, 4298, 8621, 6036, 5875, 5091, 7140, 6157, 6567, 7995, 5554, 9609, 4161, 151, 5606, 7634, 1940, 4796, 3358, 6337, 8719, 1457, 9319, 358, 9111, 3328, 2861, 4386, 19, 5616, 8109, 8015, 3707, 5379, 6273, 2409, 6277, 7548, 8467, 3558, 9384, 966, 4868, 3649, 4912, 4489, 5878, 5800, 7398, 1989, 2545, 3983, 8221, 2089, 3095, 6853, 8851, 8076, 3551, 9738, 9703, 1194, 2671, 6316, 3438, 2990, 5158, 2933, 4782, 5365, 9707, 7123, 1028, 9177, 8591, 9444, 9507, 4173, 748, 7144, 7307, 3264, 4904, 799, 6704, 8140, 5047, 8475, 7087, 5407, 1142, 6445, 2870, 4059, 5363, 5756, 8687, 9031, 514, 668, 4888, 4411, 8956, 5663, 9307, 1851, 4329, 1942, 159, 4312, 5857, 5759, 2110, 8539, 7481, 5233, 9869, 7996, 87, 2320, 7580, 6338, 2378, 6006, 3366, 9348, 3635, 5076, 9598, 4325, 6407, 9931, 387, 1726, 7538, 9351, 4465, 7159, 2369, 3180, 680, 7320, 8298, 3885, 3255, 4010, 1038, 468, 1252, 3787, 1121, 5729, 6271, 1241, 9165, 4166, 4422, 8419, 6990, 8491, 4577, 4718, 6900, 7630, 5913, 3127, 4003, 6507, 5330, 9261, 9668, 1802, 7547, 303, 4383, 4441, 6974, 1831, 5266, 8247, 9983, 9250, 7807, 2377, 132, 6811, 4374, 8867, 4585, 6777, 3530, 4068, 8876, 4254, 3794, 5301, 6622, 5865, 6772, 4864, 6251, 6243, 6597, 3252, 7510, 6646, 5199, 3183, 3140, 8042, 8069, 5002, 3472, 7650, 9605, 1848, 7343, 9593, 3610, 2595, 6172, 3048, 3073, 7785, 3089, 4260, 5760, 2230, 6288, 286, 4134, 7444, 654, 4870, 1258, 4689, 5039, 5542, 3580, 8703, 56, 8983, 9631, 1981, 8887, 7366, 2037, 3525, 4803, 7959, 33, 7771, 9689, 9028, 5738, 7901, 9590, 3932, 5208, 4054, 6186, 2144, 10, 3801, 7119, 8564, 2322, 3912, 5135, 3729, 590, 3292, 1676, 6050, 5015, 4882, 2467, 203, 1014, 8047, 7829, 4315, 7910, 6159, 7765, 4332, 2877, 7737, 7222, 1838, 5818, 7158, 2139, 3809, 6153, 9497, 6919, 2688, 1334, 4387, 2822, 3928, 9664, 4241, 6677, 8872, 3552, 2296, 2116, 4750, 7601, 9889, 1821, 5338, 9604, 7046, 7561, 2703, 9056, 8778, 7962, 950, 5059, 3106, 7056, 5389, 9966, 5686, 957, 9333, 685, 1339, 284, 5993, 1453, 6825, 8094, 7804, 5452, 3638, 7856, 6471, 8779, 1730, 376, 6812, 3201, 5983, 6682, 7998, 257, 7177, 9516, 6600, 1417, 3118, 6426, 5273, 981, 1221, 4598, 7079, 5246, 9051, 896, 3113, 4026, 6590, 7189, 5370, 3915, 3504, 8130, 1811, 5588, 1267, 4869, 3926, 4458, 9595, 9067, 3920, 8377, 5349, 6096, 1424, 6674, 6528, 4252, 3675, 960, 2578, 2633, 9107, 7560, 8875, 1428, 6069, 6844, 3538, 262, 2252, 6640, 6111, 9394, 2792, 2898, 172, 7471, 6501, 3173, 8166, 2950, 5108, 3636, 2880, 8749, 7342, 5247, 4432, 5734, 4682, 6214, 8866, 9686, 6910, 9801, 2864, 2435, 7855, 1279, 7803, 271, 8393, 6779, 9723, 2396, 7776, 1409, 5280, 9541, 6783, 2992, 3422, 6147, 684, 1450, 5512, 712, 5797, 8070, 5196, 5516, 7156, 3382, 1627, 8105, 9517, 3087, 7708, 2415, 4385, 4420, 9783, 9840, 2520, 5244, 906, 4634, 2183, 5434, 8239, 8600, 1639, 8181, 3793, 9690, 2848, 8434, 2714, 2650, 3098, 2651, 4843, 1615, 3079, 4265, 5027, 8568, 3372, 4492, 2141, 4083, 8624, 4406, 755, 1465, 109, 4865, 2909, 1960, 4494, 1365, 2984, 8436, 2600, 6901, 1171, 3950, 1224, 6834, 5270, 8546, 7805, 3856, 8603, 105, 9296, 8980, 8302, 9785, 8589, 4434, 8054, 7673, 9315, 6287, 6588, 2583, 5051, 7008, 4778, 7458, 8520, 8531, 2955, 8726, 1373, 7969, 6176, 1716, 3040, 9379, 8850, 7539, 9230, 2841, 835, 9895, 4401, 762, 2444, 9821, 9295, 1973, 5497, 1471, 4861, 1212, 6934, 136, 5837, 2283, 1616, 2994, 6884, 230, 4459, 4733, 6607, 845, 3783, 4224, 6108, 8942, 9266, 2725, 2959, 5920, 5013, 3986, 4804, 8279, 7992, 3046, 21, 9106, 2165, 1234, 9116, 9961, 3498, 3503, 4450, 153, 1340, 5089, 90, 6360, 4626, 2937, 9794, 6547, 7973, 5460, 2820, 4735, 1813, 4297, 8314, 725, 7961, 8761, 2751, 5138, 7472, 9472, 8569, 1842, 5672, 8165, 4629, 6193, 4707, 8689, 3109, 4558, 6726, 9180, 250, 215, 5836, 2516, 1945, 2361, 7174, 6489, 9377, 990, 1816, 312, 2477, 9093, 7641, 430, 8275, 9503, 7578, 9540, 8701, 5384, 4880, 8654, 9458, 9614, 1594, 6985 ], [ 974, 7190, 7603, 9094, 3817, 14, 9472, 5574, 6142, 7425, 8518, 5533, 8471, 5034, 4463, 5634, 416, 6557, 1878, 6852, 9411, 7114, 7967, 9889, 3206, 314, 3080, 3982, 1, 7103, 8364, 6235, 9910, 5093, 5730, 9305, 8987, 8646, 217, 6205, 5609, 5621, 9743, 781, 9587, 6064, 9266, 211, 8000, 4379, 772, 2993, 8371, 6603, 7015, 2372, 2597, 9259, 6527, 7093, 9088, 5029, 1202, 7719, 8968, 4854, 1394, 3722, 1268, 1657, 5886, 2724, 5547, 6276, 2766, 7294, 1414, 7880, 9792, 9801, 4396, 8839, 2501, 5652, 8580, 2624, 2116, 5951, 8482, 2747, 7534, 3252, 1644, 5155, 7540, 617, 3239, 8213, 9650, 9322, 7998, 3626, 8698, 3607, 4556, 2525, 9378, 1468, 2971, 9015, 3106, 7232, 2619, 142, 4155, 6545, 3871, 1919, 9194, 8189, 5314, 5807, 3870, 4956, 7198, 819, 9175, 7429, 9659, 8136, 4553, 6769, 996, 861, 8921, 4374, 1184, 8911, 6071, 3919, 1136, 6656, 5429, 8604, 4421, 7569, 1665, 4960, 2369, 4501, 9164, 8534, 7782, 5495, 1435, 9762, 1597, 9270, 5357, 4372, 1652, 802, 6348, 295, 4621, 9856, 9554, 4187, 1010, 5520, 4697, 2452, 9747, 9295, 3752, 6496, 5470, 3641, 7803, 4512, 2978, 1910, 5693, 8131, 7461, 7338, 9060, 7402, 3282, 6410, 9485, 963, 8151, 4807, 5673, 569, 2312, 1103, 6386, 9794, 1372, 7157, 7898, 6612, 1573, 6324, 4293, 2504, 1517, 3729, 6174, 9484, 9958, 7966, 1072, 4515, 6647, 3549, 6078, 8088, 9866, 2855, 2220, 27, 9641, 6347, 9208, 3547, 942, 1927, 4527, 6326, 5186, 4073, 2589, 9217, 7565, 7812, 8244, 243, 5545, 9633, 5387, 302, 9123, 3018, 6169, 6954, 8519, 9089, 685, 608, 4518, 8750, 9389, 9967, 4858, 6689, 2383, 5138, 5410, 7319, 7819, 9462, 537, 1222, 3290, 9392, 3111, 5035, 500, 6274, 2842, 3990, 4679, 2660, 8683, 8201, 2612, 855, 5050, 9642, 4203, 366, 8120, 2376, 3368, 9635, 5668, 3882, 2696, 4734, 9580, 8932, 9237, 4316, 901, 7821, 5294, 6260, 8296, 4584, 6930, 5869, 3487, 9867, 1619, 451, 2758, 8334, 8516, 8326, 6970, 1088, 265, 5626, 9656, 184, 6195, 6487, 1563, 8982, 8833, 6773, 9053, 1382, 2560, 8436, 6478, 5019, 4513, 7588, 423, 816, 5358, 8079, 1825, 5982, 7918, 2950, 3150, 6252, 6405, 5704, 6246, 2910, 6228, 961, 1828, 1673, 141, 9395, 7046, 1719, 5527, 7051, 1906, 2318, 7996, 1135, 771, 37, 2807, 6421, 7926, 4141, 7060, 3551, 2144, 8095, 3839, 6743, 3247, 3664, 2879, 8925, 6690, 8093, 2439, 3044, 525, 4364, 3907, 5158, 4133, 2743, 4279, 5032, 7639, 505, 1420, 7026, 5838, 1263, 4165, 2554, 2463, 722, 8432, 1276, 3616, 952, 8106, 9239, 6354, 8578, 4094, 3892, 3022, 5938, 151, 308, 3078, 7949, 9746, 1233, 6382, 7191, 9793, 797, 1134, 2430, 8918, 5526, 7536, 6103, 4600, 2248, 138, 2614, 6119, 6157, 3479, 7708, 7005, 3209, 6595, 8019, 6200, 6304, 7372, 8549, 6156, 2348, 9600, 2130, 7269, 1113, 7414, 4492, 5324, 5896, 7913, 1274, 5276, 6062, 3781, 7002, 8853, 3906, 1748, 2228, 3595, 2751, 6566, 4149, 3819, 1556, 4397, 6042, 3758, 6432, 7149, 4587, 7555, 6648, 3828, 2912, 9057, 6134, 5662, 4535, 857, 3920, 7773, 1254, 62, 4466, 813, 3507, 2981, 4647, 4593, 8536, 6575, 5191, 3831, 6729, 8915, 8550, 4719, 8247, 4228, 6131, 4688, 3713, 9522, 42, 8048, 9029, 436, 9980, 1497, 415, 2982, 2685, 5253, 5640, 4148, 3360, 8758, 9383, 9575, 1603, 6650, 7443, 7822, 3818, 1805, 7, 6376, 3475, 2754, 5066, 7203, 9796, 1704, 3567, 8576, 6944, 8154, 9262, 3456, 3208, 3566, 2650, 2790, 8590, 5683, 509, 9788, 1044, 8923, 2404, 9111, 5666, 6870, 6872, 7367, 9860, 9438, 3834, 5937, 4983, 1312, 8450, 8681, 2127, 8557, 8421, 5903, 1156, 9126, 2023, 7019, 5485, 6580, 8602, 2896, 7506, 6192, 4544, 9999, 3976, 3908, 6725, 4996, 6399, 3511, 6629, 6211, 6443, 8219, 2271, 7316, 5809, 915, 7838, 3768, 3667, 7544, 9079, 8056, 1055, 7001, 4158, 981, 7208, 5275, 8064, 5558, 2721, 1336, 1505, 8978, 7823, 1834, 5707, 9428, 8022, 4601, 3175, 7585, 7174, 4236, 1917, 9152, 46, 5166, 2133, 2739, 4414, 7483, 6751, 9263, 7753, 478, 9916, 7631, 2613, 64, 7709, 4077, 3312, 60, 6435, 118, 4445, 4170, 4045, 4716, 8246, 7267, 4358, 2811, 6492, 6591, 6775, 5819, 7082, 35, 9674, 6601, 6574, 5805, 4910, 9875, 6237, 171, 1117, 1306, 5931, 6865, 4862, 8605, 6662, 7247, 3975, 8230, 3591, 1924, 3792, 9466, 4819, 1198, 370, 586, 8939, 644, 5858, 7724, 19, 8996, 1768, 3221, 7339, 83, 7006, 6021, 488, 5128, 6596, 561, 218, 686, 8575, 6133, 213, 2179, 8880, 1672, 5311, 8295, 2128, 4738, 2202, 2825, 319, 6584, 7491, 5810, 4623, 8632, 5965, 1707, 5101, 3259, 3630, 1016, 3994, 5483, 1053, 9815, 4313, 8975, 2112, 4346, 1200, 8933, 9250, 1079, 8122, 8879, 1366, 6374, 805, 1703, 9627, 4032, 362, 7850, 6427, 2592, 4450, 7828, 5088, 742, 4781, 191, 7940, 3272, 8378, 7770, 6396, 3771, 4186, 6752, 9883, 1474, 8333, 7362, 9833, 2125, 5508, 6450, 7229, 5167, 8732, 9348, 955, 1643, 4946, 7798, 2302, 7806, 8846, 2537, 9453, 4294, 9786, 9191, 6054, 1681, 7769, 7889, 8819, 7854, 7524, 4664, 3730, 4482, 750, 807, 7771, 4586, 5537, 7675, 8461, 5007, 8196, 9634, 40, 4325, 9000, 3180, 9897, 904, 2596, 4195, 8657, 6145, 9936, 9419, 8209, 7502, 730, 9559, 4523, 4490, 5494, 7469, 7520, 6572, 102, 8558, 1400, 1506, 3627, 7217, 6740, 5270, 9817, 7584, 6733, 4250, 9066, 6033, 6030, 3120, 2961, 1930, 3623, 273, 2120, 9017, 8639, 5392, 6248, 9043, 1685, 1070, 6307, 8714, 6437, 6330, 5570, 3407, 137, 2913, 5418, 5283, 5959, 8162, 4578, 4752, 4308, 9735, 8617, 8165, 3156, 9423, 8393, 2717, 9585, 9334, 3881, 7992, 1788, 8424, 53, 4894, 4246, 631, 1956, 2145, 1579, 9977, 5879, 1904, 3964, 7887, 2585, 1155, 6590, 4860, 3462, 2107, 2480, 1548, 1958, 6537, 5840, 7324, 6418, 8553, 1620, 1006, 1229, 1961, 4177, 9623, 503, 2281, 2837, 6132, 331, 2053, 1359, 9603, 2001, 4305, 7567, 6847, 5417, 8301, 2051, 5057, 4798, 1504, 3807, 8114, 1199, 7079, 1963, 9812, 236, 3166, 6990, 6904, 7886, 9005, 8948, 1046, 4348, 2204, 6760, 6994, 1915, 3227, 3809, 6401, 2002, 8078, 4225, 7048, 8383, 7663, 7974, 9839, 4997, 7523, 5292, 5738, 701, 4353, 2908, 9861, 7289, 8491, 2976, 5844, 4968, 3436, 2746, 9153, 7448, 997, 296, 2863, 1568, 7474, 3737, 5320, 8419, 7416, 50, 1195, 4742, 439, 4890, 8769, 1706, 2960, 6189, 571, 4635, 3853, 2869, 678, 4723, 2578, 2527, 1008, 381, 72, 7742, 3979, 2170, 2775, 4780, 3359, 8523, 1471, 8884, 7766, 8440, 5400, 8403, 8029, 6920, 9591, 5370, 5143, 8729, 8375, 4014, 9418, 6407, 2909, 1378, 5525, 6829, 5820, 3761, 9701, 5203, 6005, 1255, 2857, 2247, 4691, 3357, 7353, 6840, 313, 2850, 3220, 2677, 4908, 3609, 9292, 9736, 938, 6486, 2703, 740, 6397, 1450, 9090, 3376, 8554, 9489, 2986, 7288, 1499, 4949, 4721, 4796, 3154, 9552, 672, 720, 1547, 1421, 8312, 1127, 8935, 6638, 4608, 3531, 9523, 1851, 8216, 6026, 4925, 6960, 2772, 6532, 1335, 1296, 8559, 5887, 3096, 1040, 7037, 6001, 1377, 9193, 9855, 7256, 5125, 3505, 9293, 2392, 7947, 7851, 1188, 6738, 6657, 5847, 1417, 9151, 7788, 3304, 253, 3921, 7874, 1866, 4937, 6780, 412, 7841, 6269, 9080, 9366, 8682, 9377, 6522, 6369, 146, 7943, 1843, 5540, 3351, 1916, 5108, 4174, 9679, 162, 3523, 7089, 202, 8129, 9970, 5902, 9236, 9134, 3916, 1189, 556, 9044, 7246, 1747, 5426, 7250, 2642, 8452, 1133, 1283, 4044, 1721, 6377, 8535, 153, 456, 5498, 7166, 3913, 8749, 9608, 687, 1442, 7147, 7879, 2475, 1227, 4312, 7358, 3973, 2828, 3875, 3674, 3746, 8858, 67, 3754, 2070, 8796, 9274, 4039, 9605, 3160, 3866, 2994, 7342, 6483, 3155, 2647, 7909, 907, 5572, 1479, 2227, 7462, 7685, 5339, 5247, 9588, 2434, 6645, 3677, 7466, 7303, 8188, 3026, 4928, 9184, 2447, 8343, 2077, 2635, 2902, 2911, 1864, 420, 2192, 2338, 344, 8208, 4247, 9120, 6481, 5827, 3544, 9903, 7756, 2028, 2799, 9581, 5176, 4998, 6991, 6498, 6273, 5751, 8998, 7613, 6364, 9145, 6029, 414, 5107, 4631, 4967, 6010, 6716, 8211, 9941, 98, 4962, 9084, 563, 317, 4870, 4572, 3840, 4955, 3936, 5284, 9654, 2919, 2469, 8751, 3027, 8594, 7460, 7993, 9923, 1052, 3743, 870, 2834, 5818, 4159, 2925, 7094, 9461, 6631, 6849, 7464, 6147, 294, 9063, 2829, 3610, 7864, 177, 8098, 7155, 3719, 2657, 9436, 2086, 2038, 5011, 3153, 8711, 7413, 6925, 7783, 3114, 298, 8387, 1389, 7739, 8234, 6049, 9056, 7934, 5531, 2049, 126, 7813, 7789, 7369, 988, 9622, 4525, 5464, 4692, 8111, 1986, 5082, 9682, 9840, 1141, 4966, 9933, 474, 9896, 850, 3443, 167, 628, 8571, 5212, 8869, 995, 9824, 157, 2175, 7124, 1965, 7988, 2417, 4864, 7129, 5476, 7888, 7941, 5120, 7077, 4126, 43, 394, 2579, 9942, 6198, 5248, 9446, 7755, 7188, 5271, 5077, 2901, 8313, 7699, 4360, 6331, 9663, 7072, 285, 9476, 2713, 1395, 5147, 7870, 516, 2946, 4292, 7255, 7045, 2078, 3118, 174, 2610, 2306, 8806, 1691, 9912, 2659, 8070, 8730, 9798, 2774, 707, 4359, 1430, 8949, 8372, 61, 8902, 3405, 7371, 7839, 252, 948, 1259, 1780, 9125, 1928, 884, 8462, 117, 3186, 7853, 6011, 8319, 1822, 873, 2752, 3714, 5605, 3624, 5110, 2601, 9235, 2073, 391, 741, 8608, 7494, 1981, 6654, 8451, 621, 845, 1075, 7876, 9370, 4178, 4863, 1429, 7320, 4942, 9668, 2770, 5727, 6671, 1138, 6479, 5170, 9651, 5760, 1301, 5648, 9021, 449, 3726, 580, 155, 392, 6384, 2090, 2760, 4184, 5090, 9761, 510, 6351, 9027, 4651, 5513, 6390, 2814, 486, 7179, 3705, 1590, 6502, 9444, 6959, 8184, 5231, 9269, 2804, 4849, 6551, 9082, 3947, 634, 2092, 7637, 3790, 4062, 393, 1317, 3652, 7242, 3481, 2788, 6313, 8706, 8684, 4451, 7465, 5698, 1299, 7632, 6634, 8586, 2740, 1483, 3231, 7732, 4084, 4843, 3264, 5999, 4181, 2115, 1166, 4615, 2177, 4797, 9167, 9783, 1807, 3780, 6285, 831, 7304, 5055, 1651, 8680, 849, 2737, 5846, 9951, 3857, 427, 461, 6345, 6519, 7101, 790, 4465, 1737, 8463, 1850, 2393, 5934, 903, 6484, 2473, 1838, 4739, 8944, 25, 7226, 4244, 7108, 729, 6877, 9978, 9215, 843, 3546, 4689, 4095, 5528, 315, 2108, 5785, 2147, 7636, 9734, 2461, 9361, 602, 5075, 1367, 1431, 6863, 7560, 9106, 7498, 3459, 5794, 2250, 1612, 4043, 1261, 4612, 3898, 4343, 7025, 6983, 6370, 7012, 723, 7007, 5382, 4224, 7274, 9041, 6582, 6279, 1320, 5205, 744, 8411, 8768, 7087, 284, 1282, 4284, 5112, 3046, 7617, 7489, 1901, 1370, 7654, 188, 3899, 3724, 1341, 7270, 4048, 9012, 112, 9329, 7374, 7923, 6020, 3444, 1987, 8994, 3734, 2483, 6459, 2803, 6379, 406, 7227, 4879, 4694, 8619, 9616, 9288, 6504, 1260, 81, 6404, 6295, 1972, 2632, 2802, 4128, 8389, 1181, 1308, 4276, 6828, 1495, 5786, 4443, 1813, 2864, 3728, 6568, 4981, 2384, 5960, 3190, 4607, 8110, 1235, 7382, 576, 1550, 4321, 1945, 7574, 85, 4249, 3717, 9528, 3131, 1401, 8065, 8613, 6801, 4777, 6916, 7653, 2806, 4211, 4534, 7078, 8770, 5015, 7252, 7678, 9180, 9876, 5150, 4210, 3981, 6705, 9969, 524, 2137, 4776, 8930, 4204, 8820, 1726, 7141, 946, 3431, 4787, 5901, 5624, 4234, 9971, 8825, 1555, 8035, 1714, 9802, 3930, 2346, 6202, 5981, 2140, 7516, 1932, 1959, 4641, 7572, 6471, 4757, 9993, 7406, 1105, 266, 1494, 4351, 2477, 4142, 9127, 1210, 6221, 3207, 1874, 7763, 6362, 9339, 2094, 3541, 6938, 8183, 1868, 4506, 9142, 7412, 3474, 8033, 8309, 9557, 6516, 8744, 9577, 1755, 600, 4430, 5802, 4019, 8991, 1433, 1571, 656, 3598, 8259, 5179, 4425, 4012, 5795, 9721, 1995, 9760, 3423, 3411, 6824, 9921, 7435, 3868, 7150, 3506, 5265, 5722, 7230, 3749, 4725, 5881, 7657, 3468, 6644, 2953, 297, 3783, 2260, 7528, 2119, 5296, 3846, 8149, 5755, 347, 5544, 796, 1600, 6982, 1688, 3057, 7786, 2060, 1690, 1931, 7602, 4131, 6599, 4893, 186, 5774, 6338, 6890, 8157, 6277, 8776, 4243, 4973, 6871, 3826, 3490, 5899, 3532, 575, 6996, 8861, 4861, 6022, 8128, 6361, 1855, 1272, 4086, 5194, 3341, 240, 5610, 8867, 9226, 4749, 8202, 1032, 7551, 2843, 6320, 6879, 408, 6794, 4875, 5956, 5615, 6489, 2427, 1796, 9836, 9421, 7296, 1791, 2433, 1570, 4526, 518, 7354, 212, 4963, 5048, 5598, 5867, 9312, 9808, 8194, 2970, 2329, 9306, 8365, 3144, 2232, 2876, 830, 9415, 3086, 9908, 3650, 1895, 251, 9814, 2617, 5549, 9040, 7500, 698, 4898, 9525, 4549, 4078, 2357, 7287, 6231, 3400, 1817, 2099, 3890, 3579, 3371, 587, 8260, 59, 4055, 793, 3422, 4718, 758, 8044, 4486, 7386, 8474, 5797, 7029, 5851, 3715, 5355, 5632, 3825, 1076, 6143, 6066, 3904, 8607, 5670, 8203, 4670, 429, 5551, 132, 786, 8832, 9511, 6989, 7542, 8887, 5045, 3132, 6525, 1940, 6528, 3083, 811, 4901, 3033, 3556, 2507, 2904, 2238, 129, 2460, 5601, 2586, 1764, 6524, 947, 9508, 3098, 7991, 2819, 3353, 1477, 906, 6400, 9609, 2744, 8876, 7207, 6742, 4748, 2733, 434, 5909, 8747, 7616, 1631, 2753, 6061, 8040, 6669, 5918, 1567, 6409, 1708, 7859, 1142, 7013, 1038, 918, 592, 2664, 7042, 4759, 3325, 5435, 235, 2005, 4194 ], [ 2343, 7457, 6124, 6887, 3934, 9470, 6035, 6494, 4624, 5260, 6543, 1514, 2637, 7454, 3244, 5099, 3918, 8671, 2862, 3789, 2059, 3872, 526, 5347, 1775, 7768, 7249, 2719, 4750, 1649, 9449, 2225, 343, 5875, 6319, 5688, 5700, 1392, 9881, 6809, 1772, 2539, 9188, 699, 4134, 9702, 4939, 3914, 3291, 604, 1248, 7364, 6250, 8293, 6212, 629, 1735, 1595, 6048, 5008, 4914, 737, 3151, 6095, 7049, 4400, 727, 4744, 333, 4884, 1022, 4059, 3321, 3684, 6658, 5340, 9032, 8005, 3329, 395, 7387, 5368, 2166, 5542, 2478, 1839, 2330, 9102, 2963, 4154, 9512, 8529, 9222, 3569, 3210, 7487, 6383, 4834, 3418, 517, 7972, 3786, 6866, 8272, 726, 1689, 9494, 1769, 2082, 5890, 9913, 4005, 3798, 4596, 3181, 7759, 5350, 8231, 5098, 7951, 7892, 6984, 2272, 9789, 3352, 4352, 9709, 9995, 6203, 8870, 4409, 8135, 6578, 4627, 8304, 1177, 8146, 9013, 3656, 8524, 815, 6358, 9707, 9426, 4874, 8342, 1569, 9894, 5884, 3824, 7714, 1849, 646, 2165, 6807, 7606, 4488, 1164, 1835, 5719, 8720, 3349, 2594, 6068, 9739, 5287, 2336, 4919, 74, 3587, 7571, 4886, 1610, 3089, 9963, 8668, 6958, 9968, 1936, 4672, 6688, 2824, 2321, 6834, 5279, 7162, 2518, 4589, 3565, 8551, 4215, 5346, 3501, 1271, 5745, 6106, 5407, 3276, 8368, 91, 4590, 9755, 2106, 669, 7404, 2088, 5245, 3218, 9538, 2615, 492, 7982, 4038, 9207, 8284, 8134, 1739, 1779, 529, 3659, 3164, 2339, 8286, 6956, 6853, 8327, 1077, 7591, 6643, 2410, 4111, 3488, 8753, 5595, 1238, 4074, 1674, 9388, 4489, 4161, 4930, 1486, 2785, 9070, 164, 6449, 4064, 1484, 5748, 2641, 5343, 3796, 6810, 18, 7116, 6766, 6244, 4123, 4786, 1993, 648, 1455, 7351, 4606, 9939, 9468, 6469, 3735, 5455, 4067, 4109, 8736, 3491, 7139, 6230, 5588, 2827, 5002, 3196, 9360, 8355, 3128, 7411, 2723, 9948, 4406, 3504, 9804, 5767, 5406, 5116, 8061, 5165, 1741, 6503, 6394, 1140, 5779, 2985, 7705, 6903, 4974, 6735, 7726, 7305, 7340, 7127, 6168, 4753, 9038, 3140, 3539, 7068, 1750, 1323, 9785, 8084, 8469, 5442, 2278, 6317, 804, 6819, 4644, 8161, 8145, 1582, 8841, 7309, 9486, 5753, 3404, 4673, 5169, 7891, 1241, 9447, 8233, 5025, 1328, 798, 4566, 6756, 4140, 9715, 6878, 7979, 1842, 4892, 964, 2168, 5859, 8379, 7867, 3317, 9192, 4011, 705, 3848, 3788, 1489, 9946, 3585, 6625, 935, 1020, 3602, 8920, 1464, 8148, 7074, 6353, 6153, 808, 2122, 229, 3702, 985, 3327, 2941, 2528, 1201, 924, 3500, 2406, 5137, 5039, 8917, 5995, 3214, 5362, 973, 2576, 2013, 6972, 5444, 9372, 6663, 8707, 7702, 6327, 7537, 6962, 3182, 4882, 8285, 4433, 6085, 926, 6586, 7259, 8651, 2519, 7083, 6460, 7368, 5197, 8595, 9240, 5484, 9965, 2604, 9768, 700, 5219, 8058, 6463, 3710, 55, 4407, 1824, 9101, 1715, 403, 3001, 7022, 7446, 231, 3313, 6951, 7778, 239, 5487, 4238, 922, 8622, 208, 3794, 6282, 8489, 6864, 4104, 7792, 9619, 1349, 1501, 7990, 3460, 3119, 6782, 8406, 9504, 5334, 8199, 4649, 9452, 2921, 7952, 1730, 7105, 2940, 4135, 5330, 2257, 7064, 9853, 3146, 658, 3808, 5238, 2875, 5189, 1292, 311, 1705, 139, 5173, 63, 702, 1942, 5458, 6367, 8412, 6141, 6888, 1831, 6314, 2109, 920, 9238, 677, 5854, 6683, 2564, 3263, 1437, 731, 5168, 7154, 7531, 9777, 5680, 3966, 3922, 2458, 5142, 573, 6812, 4629, 7347, 1502, 7621, 5865, 2043, 8292, 6797, 8966, 4659, 5323, 3613, 6096, 3617, 4505, 5943, 8984, 969, 3429, 7201, 2407, 6569, 8115, 3553, 6182, 9506, 2069, 5299, 9439, 1174, 1921, 7845, 3791, 7987, 5416, 2268, 8071, 5650, 8844, 1109, 888, 1844, 8198, 2317, 6550, 9759, 9705, 6661, 8797, 5593, 916, 3139, 1978, 1907, 324, 8802, 9170, 3697, 2009, 1815, 2111, 3389, 8722, 7096, 3020, 9844, 5183, 6234, 3030, 6512, 5076, 7515, 8533, 4700, 5993, 7341, 6436, 5685, 2762, 3580, 4926, 1998, 8261, 4706, 777, 7228, 493, 7057, 8267, 4461, 318, 2457, 8494, 3646, 5331, 8738, 6240, 579, 7283, 9992, 3801, 4456, 3503, 5135, 3929, 2484, 8834, 4771, 9331, 887, 4653, 9502, 6554, 2034, 8564, 8959, 5020, 4116, 5787, 5172, 8221, 2148, 511, 558, 2557, 9981, 1541, 6137, 8038, 234, 3314, 3285, 479, 9661, 7280, 655, 9001, 9255, 6931, 623, 9007, 1115, 533, 8643, 5118, 6015, 3648, 9110, 925, 7559, 4460, 8045, 7279, 6025, 3217, 7579, 8172, 5, 4147, 9754, 3102, 8761, 2426, 7640, 192, 2476, 3701, 5259, 3917, 564, 8967, 8986, 4817, 4484, 3195, 4085, 1148, 1242, 3099, 7772, 4554, 1062, 8060, 3273, 3434, 7125, 9457, 9047, 7955, 2768, 77, 6968, 5244, 2100, 1047, 9096, 5432, 1357, 6173, 6495, 9901, 5298, 8956, 2969, 5913, 1806, 3497, 3135, 6511, 8207, 734, 6884, 9592, 2552, 9414, 4418, 3784, 551, 9888, 1893, 2665, 8294, 5814, 7633, 1524, 527, 7028, 7549, 965, 9477, 7561, 9249, 6806, 9154, 9781, 1226, 9147, 5133, 4987, 1988, 5636, 4113, 3776, 2110, 6785, 7118, 7907, 2296, 7085, 133, 6514, 1624, 8193, 8885, 8205, 5159, 2054, 7148, 1097, 5554, 4002, 6936, 2621, 4356, 1990, 9434, 2720, 2952, 835, 589, 5933, 7656, 8053, 1549, 6781, 9675, 2796, 6636, 2572, 2678, 4575, 8423, 7059, 2173, 4650, 834, 3454, 826, 4354, 9284, 5235, 1161, 5274, 1411, 9161, 8197, 8426, 7837, 8687, 3430, 7688, 9276, 1865, 8840, 4329, 4046, 9229, 2795, 4916, 47, 431, 5409, 6227, 1297, 8546, 4927, 9433, 7570, 260, 8555, 2412, 4357, 9594, 1049, 3999, 9136, 7183, 5038, 7582, 462, 3946, 1885, 2757, 4008, 2462, 6844, 624, 4209, 6429, 7748, 6618, 160, 7677, 667, 5273, 7073, 2076, 8117, 2671, 8402, 6385, 3471, 1525, 7691, 4307, 5053, 259, 309, 989, 6275, 8695, 5798, 7388, 8823, 4729, 9186, 7680, 3668, 817, 5717, 1129, 4315, 6597, 5895, 4218, 1515, 827, 8620, 7062, 6160, 7308, 2269, 1416, 1523, 1962, 4168, 5209, 1948, 2003, 5491, 2881, 6939, 5445, 4938, 6553, 1048, 9931, 5497, 1246, 7216, 6768, 2928, 8547, 5162, 9660, 6283, 3835, 2698, 6799, 7776, 3599, 4072, 5028, 3693, 1947, 3270, 2640, 9092, 6207, 670, 4616, 2438, 7800, 5701, 8401, 2575, 11, 446, 7379, 1402, 5465, 5356, 1820, 7352, 1249, 7436, 2031, 1426, 9818, 2992, 9234, 4189, 6563, 8002, 4416, 7343, 801, 3608, 3093, 6414, 2935, 540, 2868, 5770, 3502, 1019, 8945, 3896, 1646, 5699, 2670, 8112, 8755, 5482, 4199, 2126, 2378, 8633, 104, 8377, 9775, 9474, 4859, 9200, 7205, 216, 6848, 8210, 6164, 4618, 8398, 9174, 1182, 1653, 6943, 3171, 9280, 7777, 5742, 4678, 9539, 9108, 3248, 8454, 5338, 880, 9678, 3230, 4112, 6454, 3271, 3229, 8764, 2386, 3315, 1265, 1034, 6533, 387, 5600, 3680, 6453, 718, 601, 1639, 5187, 5565, 4033, 743, 7905, 943, 593, 8268, 8382, 1099, 7958, 8405, 2658, 1293, 8718, 8868, 2389, 913, 1606, 7403, 237, 9165, 4121, 6749, 6052, 7535, 5289, 8031, 222, 4579, 4595, 681, 9214, 1527, 9344, 6741, 603, 1280, 2098, 2832, 1718, 2955, 9640, 5122, 3241, 8814, 3253, 6069, 4804, 5567, 5466, 4529, 3354, 4102, 5778, 4447, 8765, 8488, 143, 3185, 6281, 770, 8904, 713, 6675, 6113, 8086, 1124, 3311, 150, 8916, 8373, 5221, 4646, 8077, 0, 5945, 2835, 4918, 4332, 1823, 1454, 2558, 7453, 1356, 4219, 8021, 735, 4371, 4536, 1572, 4741, 9025, 6166, 124, 3303, 1626, 733, 3167, 8376, 1781, 6881, 6186, 2180, 8515, 3759, 1192, 5803, 1589, 1310, 3373, 7902, 2022, 4378, 1033, 7799, 6720, 3008, 2080, 2436, 4693, 4304, 3269, 4173, 2965, 1212, 3457, 6349, 1119, 1949, 15, 1388, 4198, 3974, 9613, 521, 281, 4891, 7976, 2178, 3767, 1621, 5998, 1533, 3393, 1645, 107, 9139, 9652, 8346, 1063, 7306, 5141, 6820, 2756, 9417, 9390, 9700, 5004, 7397, 4413, 6151, 8257, 8803, 8942, 6600, 7620, 2566, 4477, 4437, 7948, 3493, 6201, 7785, 3876, 6099, 1101, 2672, 899, 8791, 543, 6063, 7202, 4628, 696, 2334, 6696, 438, 2453, 5577, 2065, 2068, 4182, 3053, 2350, 8153, 1725, 6513, 5512, 1496, 2944, 5757, 5839, 5420, 5566, 9510, 7100, 4424, 1975, 3330, 2900, 5374, 3021, 5833, 4652, 663, 2497, 9744, 7594, 4237, 6921, 2199, 1391, 3339, 6154, 6050, 466, 7360, 9281, 2929, 4053, 8298, 4386, 6329, 5515, 6321, 4994, 3572, 7325, 1413, 6715, 7659, 1793, 8025, 1342, 5223, 2124, 1914, 2535, 3007, 2176, 8777, 9061, 2667, 4022, 6538, 8733, 2736, 7378, 4423, 6359, 5297, 683, 6846, 714, 7922, 4261, 5467, 2422, 1028, 8804, 1879, 225, 8857, 7624, 5447, 7995, 5335, 3000, 8121, 9173, 5953, 8854, 8169, 2922, 661, 4784, 2474, 2448, 2805, 8970, 6451, 3692, 6540, 8783, 6158, 3833, 7167, 4769, 2680, 957, 1379, 1902, 9162, 4471, 1050, 6979, 3739, 3877, 6233, 7244, 2246, 219, 753, 2058, 2342, 1165, 9780, 1214, 8266, 1218, 5300, 6868, 2230, 3856, 8579, 6183, 1991, 3246, 6655, 7514, 1852, 8415, 3514, 6702, 4080, 3199, 1605, 4812, 9209, 660, 8347, 8258, 3043, 1029, 8495, 5991, 6697, 8191, 5177, 9553, 8838, 7558, 5454, 159, 8328, 7442, 2421, 2655, 4190, 3605, 248, 3706, 5723, 9922, 9169, 1041, 2968, 7189, 6268, 5694, 3573, 6727, 8429, 3278, 8303, 3042, 4230, 7884, 837, 8217, 1058, 1720, 2705, 9087, 2441, 3637, 325, 4977, 5744, 1147, 3855, 936, 1607, 7178, 9645, 4311, 5845, 2926, 388, 6510, 3437, 7655, 2997, 2233, 7254, 3559, 4782, 1810, 9091, 1662, 3993, 6883, 7698, 4431, 5083, 795, 48, 1922, 1493, 7099, 7058, 1912, 6224, 44, 8883, 8531, 5708, 550, 5182, 1660, 8672, 6177, 1744, 1322, 7725, 7723, 9583, 404, 6912, 7893, 2810, 7965, 9558, 9324, 465, 8760, 3326, 9482, 5386, 1150, 5793, 4404, 5154, 8813, 8951, 2987, 2191, 1224, 5134, 3452, 3085, 7348, 8658, 2471, 6318, 8899, 8506, 6076, 7712, 4932, 300, 9317, 1408, 4885, 1173, 2892, 2973, 507, 3113, 8505, 8085, 2285, 3017, 7950, 6570, 6129, 8001, 8669, 5731, 8036, 2627, 909, 4756, 6027, 9409, 2044, 2731, 5249, 2240, 3997, 3258, 5226, 5490, 9103, 3628, 9490, 5556, 3957, 6065, 8913, 5018, 6214, 3770, 9687, 5264, 1584, 7383, 4906, 1627, 4617, 9141, 8908, 7110, 2319, 3963, 6310, 632, 8808, 4519, 5282, 2222, 4288, 3294, 9672, 7865, 3838, 9738, 1518, 5312, 2793, 2359, 7081, 3463, 9698, 8500, 1015, 863, 4162, 2206, 8809, 4253, 3965, 1300, 3347, 8094, 1559, 9716, 1187, 4677, 9197, 8264, 5062, 4540, 8821, 1314, 4626, 1926, 8072, 1638, 4454, 5997, 4000, 8478, 508, 8897, 4152, 4027, 2562, 5916, 123, 2958, 4941, 17, 4516, 4622, 7703, 4498, 5658, 2511, 6093, 6009, 5777, 1977, 8539, 2273, 9569, 7240, 4390, 5378, 9286, 9669, 5468, 5460, 736, 8354, 6044, 5973, 1440, 8818, 4302, 4530, 794, 7802, 169, 5908, 7168, 8156, 8255, 7908, 471, 2486, 4021, 8614, 3379, 8168, 7381, 2325, 8993, 8779, 8186, 8251, 6573, 1946, 5507, 6940, 6641, 9086, 480, 1539, 442, 3644, 4592, 4634, 1005, 1004, 3485, 2582, 8690, 470, 8305, 2066, 8567, 6467, 5171, 3601, 7660, 1162, 4823, 4481, 5009, 8641, 3928, 5201, 5100, 9328, 2815, 3897, 7981, 7829, 9105, 5986, 9990, 3540, 1480, 3519, 6067, 9045, 3894, 4568, 7964, 9830, 4188, 767, 9456, 498, 9181, 9546, 5250, 6461, 2394, 6341, 5562, 8664, 4265, 1890, 1633, 4669, 3473, 5894, 2189, 7126, 4254, 3676, 2333, 3689, 832, 7032, 8624, 5041, 9928, 5747, 2284, 7142, 7548, 4934, 7731, 2256, 7119, 1131, 1808, 9008, 5480, 8847, 6602, 7295, 7135, 9114, 622, 8731, 1604, 8800, 9113, 4632, 4081, 1240, 379, 5659, 4290, 175, 8487, 7895, 7432, 6278, 7738, 6500, 458, 1438, 5414, 7687, 103, 5313, 1095, 7359, 6646, 9596, 9019, 7710, 3204, 548, 1498, 5379, 8367, 1732, 1944, 9595, 6439, 7063, 7912, 3937, 5910, 1913, 269, 8774, 9, 7136, 8030, 2866, 4160, 784, 2132, 6531, 1287, 4047, 4365, 9122, 1067, 1149, 929, 6894, 2224, 3296, 5421, 7553, 1037, 8498, 9202, 3932, 8081, 5713, 5679, 8842, 960, 6146, 94, 8163, 364, 4609, 6056, 7016, 7200, 6976, 2661, 5087, 1509, 3224, 3665, 8584, 9016, 9316, 7793, 2025, 4066, 7713, 9750, 5230, 9800, 4982, 6927, 9158, 5024, 494, 706, 2636, 1284, 3413, 4571, 8229, 7423, 8509, 4805, 7349, 9333, 1812, 9527, 2898, 6257, 5752, 7420, 3956, 382, 8701, 161, 6352, 5499, 1804, 1671, 9632, 9987, 3306, 9706, 369, 1444, 4561, 1529, 5541, 1091, 8236, 951, 2520, 6838, 8859, 6963, 114, 3690, 321, 8972, 378, 3813, 2368, 1073, 9727, 3984, 7395, 3188, 1994, 1581, 1594, 8582, 5010, 3091, 3744, 4810, 1666, 1298, 3470, 876, 2701, 7681, 9232, 8441, 3287, 4068, 2151, 828, 8314, 8344, 8954, 5390, 4711, 5922, 2210, 2977, 6614, 2536, 9556, 7984, 9325, 2923, 4538, 267, 8137, 1071, 1771, 4110, 8097, 1784, 2964, 4599, 1132, 3903, 8637, 1723, 8311, 5920, 5322, 3348, 499, 9945, 2442, 5213, 1351, 7088, 8290, 8073, 9157, 4764, 6653, 3268, 6309, 4905, 2839, 9290, 1701, 4766, 6935, 4577, 5352, 4761, 4992, 1001, 1352, 6084, 1295, 4838, 8938, 8596, 1964, 2258, 6008, 6091, 2543, 9545, 5852, 9075, 7050, 2741, 1178, 2155, 1018, 3279, 6163, 3165, 8527, 12, 2816, 1490, 7938, 4185, 2643, 606, 453, 1837, 2040, 9578, 5631, 625, 4438, 9363, 3211, 9093, 8223, 605, 6122, 6745, 4809, 3525, 4772, 3134, 2113, 5853, 3863, 6254, 2738, 4636 ], [ 620, 1757, 9131, 7612, 5200, 8950, 13, 7920, 7711, 2506, 2749, 8561, 443, 6073, 7846, 279, 9355, 5227, 4245, 1275, 3753, 4041, 9680, 619, 8971, 5295, 5788, 7196, 82, 3045, 9915, 339, 274, 4630, 5188, 6423, 2424, 6723, 9873, 8242, 3012, 3095, 8082, 9365, 1365, 2715, 4458, 4724, 5915, 6100, 1208, 4603, 5789, 5228, 1478, 8288, 9740, 6465, 6767, 1460, 4419, 8688, 7933, 6023, 8660, 2252, 8014, 2577, 2694, 8616, 2607, 7277, 7805, 6266, 3307, 4398, 135, 5262, 4931, 9638, 1575, 6232, 4883, 1602, 5587, 8723, 2467, 3657, 9961, 367, 3711, 4720, 9751, 3889, 1361, 2435, 7736, 5430, 130, 8096, 5842, 5984, 3419, 4242, 9099, 937, 8059, 8067, 2505, 9342, 7317, 7885, 8788, 275, 2711, 4935, 1154, 2767, 8626, 4119, 4010, 5801, 4625, 6208, 8816, 3004, 9143, 8006, 4139, 5974, 3550, 1303, 6121, 9998, 7816, 8900, 6452, 5398, 3518, 6952, 3960, 1616, 7145, 8611, 5393, 3618, 4420, 6290, 8101, 9155, 6928, 977, 8548, 402, 4842, 5431, 1802, 4986, 5256, 5241, 9742, 4393, 181, 7175, 4493, 5381, 3219, 9160, 3362, 2138, 7546, 3596, 1316, 2569, 7575, 8329, 1798, 166, 1123, 4485, 31, 6111, 8124, 3636, 8667, 2262, 4735, 5966, 5927, 8710, 3212, 9364, 4380, 7672, 2791, 8565, 5571, 5620, 7430, 5983, 1576, 9083, 4868, 8004, 4330, 8636, 6089, 833, 7746, 4143, 3398, 3238, 7521, 1102, 3384, 6152, 654, 7038, 9822, 8724, 3069, 8348, 39, 958, 6490, 9803, 7511, 3571, 898, 8192, 9612, 7945, 1039, 5647, 5725, 2397, 5337, 4794, 6686, 9820, 6758, 5616, 3862, 5446, 9307, 976, 6249, 769, 1423, 6441, 5582, 8694, 8989, 8091, 322, 3489, 1634, 4248, 7271, 5929, 917, 1223, 7450, 4259, 399, 6549, 4399, 8232, 9646, 6652, 9519, 6340, 8291, 3996, 5388, 7501, 2489, 485, 9862, 6, 6896, 2729, 7234, 4976, 4821, 8715, 4282, 3205, 7345, 2644, 224, 6087, 9493, 9301, 577, 1892, 5376, 1872, 3234, 7023, 3909, 6388, 2649, 8653, 662, 1445, 2323, 6336, 1194, 5121, 1476, 4773, 9463, 7370, 1790, 7625, 6219, 5970, 4275, 3035, 3756, 8278, 5405, 189, 3814, 6907, 9756, 1821, 7924, 9986, 890, 2380, 361, 397, 1171, 2340, 3060, 6393, 76, 1069, 3320, 5207, 6518, 3142, 5261, 3536, 7989, 3854, 9711, 728, 8011, 351, 860, 6616, 953, 6403, 9367, 4502, 6366, 1083, 8562, 4144, 886, 2745, 5144, 8692, 3972, 409, 2443, 386, 6206, 4342, 3576, 2307, 5022, 1951, 1228, 2831, 7327, 5367, 8727, 4551, 2999, 8737, 9979, 7334, 1858, 4799, 183, 8721, 2599, 8322, 8741, 3492, 5511, 3829, 5575, 5980, 3512, 8248, 1396, 6854, 9291, 2906, 8446, 7417, 3720, 1376, 1205, 2542, 8051, 1647, 401, 9940, 4658, 3356, 8276, 4151, 9338, 7538, 8678, 2905, 4895, 5841, 7097, 4338, 9655, 4349, 120, 5012, 7946, 6680, 7257, 8490, 6241, 9256, 6977, 8280, 6858, 3685, 1025, 4867, 2096, 6434, 6869, 9985, 9233, 895, 2300, 3067, 3643, 3174, 3815, 9514, 7827, 7262, 944, 5224, 774, 2962, 7031, 6776, 7994, 5037, 4146, 7622, 6470, 3382, 2158, 4255, 8946, 5813, 1832, 2162, 8645, 8206, 5552, 9067, 7878, 5302, 1054, 6342, 3331, 5305, 1746, 5065, 2071, 5900, 9242, 6123, 6406, 7452, 4661, 5591, 8997, 6811, 232, 5888, 1937, 9321, 6823, 2998, 8922, 7410, 7301, 3262, 2259, 2431, 197, 2409, 360, 1436, 1278, 6833, 5523, 7883, 4999, 3716, 9691, 4183, 3698, 4339, 6080, 8359, 5148, 4806, 3378, 4866, 108, 9837, 6411, 5174, 2666, 966, 7983, 7075, 9109, 5486, 9976, 3802, 2466, 2425, 9615, 2450, 482, 4474, 3995, 3025, 2957, 5630, 7131, 8708, 2324, 5021, 201, 9887, 4508, 1144, 1465, 5831, 5524, 2146, 8734, 1459, 7215, 8937, 5443, 3410, 4878, 2914, 7630, 5823, 8601, 3233, 7361, 4214, 363, 7041, 7997, 2455, 7455, 8418, 1251, 5461, 7808, 7664, 3528, 6536, 9579, 5096, 3316, 2493, 5882, 5084, 9287, 8160, 4686, 1580, 5225, 2714, 2840, 6077, 4958, 7313, 6699, 4040, 2367, 4029, 9924, 9564, 4326, 2231, 2838, 5538, 5164, 7580, 9540, 3289, 7595, 1393, 9199, 839, 6953, 4257, 356, 2990, 2500, 1687, 4272, 4953, 4755, 7164, 3864, 7717, 6922, 7689, 8652, 6447, 6293, 640, 3614, 4740, 9327, 4050, 3561, 5917, 872, 1507, 5702, 859, 8850, 8763, 9375, 2142, 9464, 9221, 3298, 5932, 6900, 3860, 7043, 4037, 8103, 6014, 326, 1967, 6003, 4846, 2152, 1950, 9811, 836, 6485, 5052, 182, 8090, 6190, 1084, 1311, 9260, 5412, 8501, 9865, 5963, 3884, 984, 8874, 5834, 8049, 5539, 2932, 2907, 264, 3762, 5961, 3672, 1836, 2646, 2606, 7173, 3446, 6748, 9695, 5536, 5678, 9541, 9784, 4226, 2784, 9918, 5315, 5086, 9997, 6012, 6808, 2063, 7098, 5281, 6632, 6337, 9690, 3125, 7044, 1935, 4520, 6651, 7554, 7278, 418, 5682, 282, 435, 4922, 1712, 5255, 6464, 2673, 5836, 2377, 16, 2405, 566, 3445, 2509, 869, 8074, 328, 426, 5604, 373, 9570, 6253, 2918, 1630, 846, 6889, 9205, 871, 7701, 323, 2020, 7583, 3987, 4411, 8437, 2047, 9023, 4611, 7904, 4150, 7120, 3014, 7111, 4375, 9129, 5806, 7581, 2203, 889, 2547, 7939, 9219, 9272, 1360, 2301, 9996, 1923, 8068, 3448, 9347, 1066, 2496, 8597, 2371, 3163, 1677, 6796, 6039, 2515, 6609, 4429, 5397, 5291, 9011, 1186, 940, 7929, 8339, 2143, 1778, 1971, 9684, 9048, 6355, 6620, 2182, 1269, 1562, 2808, 2856, 4018, 1439, 7473, 3912, 6649, 5033, 7871, 1898, 1345, 1729, 7393, 5656, 1544, 247, 9128, 7385, 2415, 3861, 4957, 7857, 445, 2939, 9838, 6373, 3133, 6668, 1984, 9685, 127, 5756, 4082, 1659, 6296, 8407, 4690, 1371, 1363, 9849, 6344, 3005, 1397, 6365, 8642, 5327, 5948, 7900, 934, 3138, 2861, 8289, 5266, 7607, 7380, 5195, 3148, 5724, 8499, 962, 5013, 2849, 3927, 6292, 9009, 9218, 5160, 9224, 2081, 1130, 5054, 4745, 7609, 207, 1348, 4333, 7091, 8919, 8591, 8647, 4674, 7661, 4887, 4376, 3079, 1434, 7218, 5780, 7671, 1974, 6381, 2630, 1591, 8789, 8878, 179, 9863, 9959, 609, 6535, 6395, 9630, 1243, 8644, 7919, 5589, 3453, 1862, 84, 8009, 3745, 9501, 148, 5049, 7047, 4943, 8513, 8171, 8654, 371, 2314, 1492, 6867, 9947, 7186, 9353, 380, 9159, 7398, 2056, 3122, 5914, 9496, 7437, 9823, 6262, 8831, 9843, 9797, 209, 2860, 3498, 3751, 8849, 8573, 4457, 4546, 6088, 2084, 1782, 8661, 3381, 1373, 6245, 5321, 1319, 8249, 2872, 4322, 7133, 2183, 4727, 2681, 1183, 676, 467, 9573, 858, 8552, 9182, 194, 4542, 7618, 4709, 8493, 8330, 693, 6795, 1766, 9966, 5303, 8047, 3773, 152, 1168, 8350, 983, 5911, 5714, 682, 8963, 374, 5715, 1516, 8631, 9741, 4985, 5394, 8431, 4959, 6967, 2689, 7440, 6028, 2283, 7915, 6711, 545, 5990, 5030, 6717, 3597, 2174, 3455, 8008, 8080, 5064, 4707, 8485, 4193, 4829, 1564, 3703, 6841, 2818, 5345, 6442, 1128, 1383, 2817, 7954, 3558, 75, 9413, 3472, 4911, 5709, 5518, 717, 5441, 5857, 7517, 2927, 8126, 7284, 2820, 5784, 2019, 3675, 2916, 8468, 6737, 3555, 7649, 9534, 9589, 1213, 7539, 3052, 2521, 9475, 8675, 9938, 8827, 4702, 5646, 883, 8640, 8204, 5880, 4696, 3787, 1826, 8703, 6714, 341, 5351, 1191, 2428, 5359, 7009, 448, 536, 2079, 193, 7036, 6667, 7843, 1578, 9212, 5625, 7236, 3123, 9469, 4869, 484, 9074, 9688, 460, 979, 384, 1121, 6832, 241, 8700, 3660, 1853, 7070, 3450, 4101, 1795, 9550, 349, 3283, 1234, 6845, 6032, 6945, 789, 4001, 8510, 7690, 1857, 496, 1751, 8390, 1080, 8026, 54, 9972, 5502, 7123, 6981, 3606, 2470, 8570, 6728, 6635, 9196, 7751, 9071, 5229, 7211, 4728, 4166, 2851, 1262, 3806, 5690, 5672, 776, 8349, 6534, 1869, 2885, 7848, 4285, 9149, 4252, 3712, 3372, 6107, 4504, 2154, 6589, 910, 5157, 7849, 8740, 9644, 4802, 4541, 6127, 9507, 6639, 9115, 2764, 7744, 2337, 2798, 3399, 6144, 2494, 8805, 2893, 7832, 5613, 8752, 6243, 5946, 2015, 2429, 1244, 3852, 4024, 3019, 7065, 3952, 8773, 6721, 930, 9518, 5462, 6378, 1344, 4657, 4435, 4751, 1765, 7239, 9369, 3066, 6090, 2390, 7451, 3216, 6497, 3065, 5877, 3380, 998, 3202, 2485, 8785, 3639, 4597, 7925, 5706, 9273, 6678, 5870, 8976, 6315, 7300, 8102, 2996, 8414, 8592, 1060, 1663, 3666, 6323, 9451, 4202, 5940, 6997, 3073, 2858, 8472, 5606, 3633, 96, 7596, 2149, 7927, 7095, 8007, 2399, 2093, 8435, 9146, 5510, 825, 4900, 2573, 9551, 7860, 8606, 1007, 5816, 8092, 8697, 3925, 5425, 9100, 8743, 245, 6098, 1059, 2347, 6070, 7176, 6640, 5078, 2609, 3640, 9319, 9984, 5102, 8380, 6559, 6428, 7935, 7497, 2773, 9393, 8762, 1110, 6004, 6969, 5962, 4830, 5127, 7733, 8332, 3951, 7928, 4171, 1204, 9412, 4301, 5861, 6271, 4871, 538, 840, 6817, 7729, 7930, 6676, 3985, 1683, 8484, 6926, 6101, 7809, 7638, 6923, 4733, 4427, 256, 4813, 8739, 9982, 6542, 2295, 9258, 6624, 6851, 792, 5935, 8003, 4056, 6821, 6876, 4665, 2291, 3950, 1667, 1887, 9458, 3557, 6300, 856, 4564, 3197, 2561, 853, 2899, 7658, 971, 9248, 9763, 1145, 9911, 257, 9203, 8974, 1734, 5115, 504, 3059, 8574, 5349, 1535, 5365, 3039, 1108, 3011, 8799, 2608, 1031, 2042, 1786, 5450, 5131, 5317, 2036, 2114, 2351, 4004, 9937, 8914, 9868, 3240, 4912, 4405, 9737, 1899, 3681, 6987, 1941, 6764, 7024, 1684, 3510, 9749, 3346, 642, 4845, 9026, 8589, 1754, 8655, 4737, 3061, 6346, 6258, 8099, 3645, 353, 3406, 5718, 1012, 4500, 7817, 8492, 9957, 5192, 9950, 1598, 1955, 1846, 2513, 7894, 4208, 1545, 4196, 6299, 4831, 6000, 8522, 6684, 9712, 633, 5268, 3396, 1325, 9318, 4978, 4991, 3651, 4079, 3416, 6175, 5285, 7704, 6226, 5104, 9847, 9597, 4251, 2395, 1451, 4640, 9614, 8852, 7394, 4441, 610, 2691, 5684, 9299, 5637, 4965, 8028, 9320, 657, 6560, 9014, 3592, 1888, 3145, 4715, 8397, 6913, 3432, 7034, 5711, 7662, 7415, 1364, 9335, 9617, 4417, 9036, 1180, 8385, 9223, 6732, 549, 6197, 7344, 4, 1384, 2974, 3158, 7627, 751, 5196, 6755, 6617, 2482, 1611, 4061, 4877, 9719, 725, 2315, 4494, 8275, 2574, 3397, 9039, 6971, 3775, 9927, 1230, 4401, 3700, 8243, 2581, 5849, 5081, 4031, 4852, 2871, 3878, 908, 2699, 3115, 9404, 1290, 5089, 9917, 6875, 3469, 4201, 9481, 6628, 9156, 3409, 8057, 6577, 2755, 9031, 1482, 1982, 502, 8374, 9704, 1668, 2215, 6585, 4790, 9068, 2008, 4468, 8895, 7648, 4231, 2634, 5939, 3461, 4459, 1100, 6986, 6445, 4803, 8728, 6623, 6992, 4889, 2611, 4793, 9257, 7409, 8271, 5206, 1710, 2692, 5553, 8273, 7780, 894, 8496, 4408, 5988, 6999, 7831, 932, 3562, 1427, 9526, 6932, 8896, 6287, 24, 2400, 5514, 1939, 749, 29, 9673, 447, 7187, 7482, 2801, 4262, 4763, 9625, 357, 3673, 4127, 3105, 3971, 3442, 2516, 7076, 6718, 6466, 2983, 1074, 3570, 539, 2598, 125, 8566, 1908, 8725, 862, 7858, 2529, 1406, 5293, 9890, 9536, 598, 9132, 7251, 4320, 4444, 874, 6607, 1783, 9764, 3387, 1094, 2789, 5942, 2571, 6140, 9667, 5561, 9279, 2196, 2211, 170, 3478, 4473, 7545, 1318, 6159, 9189, 8909, 7910, 1064, 4880, 877, 7193, 7573, 2887, 2735, 2134, 3867, 3215, 7219, 6709, 3184, 5892, 9467, 6905, 4388, 3342, 6964, 9264, 7882, 993, 9371, 2583, 4591, 2718, 368, 6055, 2852, 2472, 95, 8881, 2416, 2693, 5477, 1882, 8980, 5958, 30, 2102, 1307, 5434, 3893, 6605, 7651, 1294, 4754, 2164, 4089, 2761, 5583, 6622, 9778, 4801, 4524, 6765, 8265, 7456, 5459, 8618, 5883, 4347, 4105, 3977, 6413, 1565, 5329, 7192, 7635, 5791, 5308, 1770, 3859, 5419, 9265, 8875, 8052, 6754, 7694, 8784, 3047, 9732, 4069, 3582, 3032, 6902, 8042, 3062, 7493, 3466, 4049, 9140, 7971, 6357, 2654, 1789, 4402, 7258, 5619, 6081, 6708, 3421, 7261, 4840, 468, 6171, 2316, 9297, 5505, 2027, 6392, 7999, 5804, 7592, 3228, 1682, 8746, 878, 3888, 9567, 590, 5479, 8958, 7547, 36, 7693, 8015, 1686, 4903, 2948, 4172, 8341, 4381, 8686, 3281, 9973, 8811, 6041, 5949, 9035, 9396, 3435, 5603, 66, 4936, 2616, 5478, 3323, 711, 923, 703, 3286, 8409, 5471, 421, 7152, 4582, 9532, 1014, 4808, 9500, 340, 7985, 8545, 8677, 1702, 1061, 5695, 8905, 9407, 7532, 8132, 21, 523, 9058, 1863, 7039, 3653, 528, 450, 630, 5674, 6291, 9302, 9330, 8480, 2332, 2226, 8195, 1386, 6387, 2242, 422, 2216, 3842, 330, 2014, 6762, 9304, 490, 3010, 7634, 8239, 7875, 5475, 8017, 4075, 8366, 9351, 2308, 4778, 7787, 154, 534, 1126, 8032, 4096, 761, 7762, 6118, 287, 1558, 2877, 512, 6731, 3350, 4367, 9003, 7104, 2895, 487, 7355, 7820, 455, 4853, 180, 9994, 3483, 8218, 5473, 5145, 5372, 4495, 5878, 4743, 337, 5440, 9829, 5716, 299, 2531, 7477, 5310, 3584, 6724, 8155, 3721, 8037, 5829, 4239, 2136, 2951, 7459, 9584, 5532, 4815, 3998, 5925, 4828, 6934, 8250, 3663, 2328, 1742, 3428, 8713, 8024, 5828, 6975, 9543, 9621, 3923, 1561, 2605, 5063, 3588, 1021, 1758, 276, 1521, 5904, 4704, 9919, 6316, 5614, 2117, 4548, 2187, 2730, 7241, 7696, 3335, 3564, 4391, 1024, 3961, 3851, 7020, 2, 522, 6038, 3159, 4668, 3249, 764, 5821, 6698, 9228, 7741, 5529, 6933, 8394, 8691, 501, 2548, 7586, 1172, 8166, 2645, 7143, 8235, 1239, 6973, 6998, 8627, 8143, 3647, 2530, 2446, 2884, 4392, 1270, 5070, 4552, 3063, 7862, 2217, 338, 8417, 5214, 6899, 2949, 176, 4164 ], [ 8999, 2267, 3635, 5590, 4496, 2620, 156, 2947, 8630, 1291, 1009, 6908, 6086, 6216, 3344, 7276, 9368, 7181, 9357, 134, 6691, 8352, 6567, 9758, 8907, 5573, 8778, 5952, 2556, 4814, 286, 9381, 3110, 2184, 7056, 7513, 5569, 1969, 7779, 6391, 7916, 8427, 4410, 4007, 9533, 22, 8928, 5815, 6608, 9769, 9767, 6017, 8886, 6685, 190, 7863, 9398, 6897, 4370, 7040, 3200, 3727, 9699, 9555, 1017, 7833, 5535, 1929, 4088, 8144, 5692, 173, 1197, 597, 3915, 5667, 4850, 4820, 6822, 3590, 3931, 121, 1678, 5822, 7735, 5401, 8055, 3288, 7106, 2004, 145, 8107, 612, 1380, 4240, 8556, 8957, 8323, 5074, 7471, 8335, 3687, 4115, 5130, 9387, 7444, 4207, 7238, 933, 6120, 4015, 3016, 9216, 6225, 6957, 242, 5546, 2623, 1485, 3764, 1970, 1528, 1909, 4200, 2508, 2891, 2331, 1309, 896, 7644, 9681, 4428, 9944, 5764, 3577, 28, 6162, 9720, 7486, 7519, 6859, 332, 7836, 4792, 7195, 8782, 2526, 3084, 2890, 6679, 9657, 987, 2590, 9869, 1588, 2759, 2413, 5438, 2234, 195, 5837, 1288, 9010, 1811, 532, 5519, 866, 3361, 4722, 262, 803, 8408, 9179, 2481, 5085, 6544, 3170, 8815, 8866, 2894, 2188, 6334, 5272, 4197, 570, 6482, 5862, 7184, 8560, 6350, 581, 7683, 5161, 4779, 7213, 1655, 1256, 8381, 4765, 6611, 8228, 7796, 9821, 1875, 1641, 1743, 2423, 7318, 2275, 7427, 3112, 7492, 7564, 1112, 1614, 303, 2722, 6857, 6552, 8615, 6816, 4331, 70, 5781, 293, 7720, 2836, 6408, 9124, 1519, 950, 7449, 5280, 1658, 5750, 5123, 5612, 1329, 8612, 2277, 2690, 3642, 6555, 5233, 3581, 4092, 3439, 8181, 5976, 6184, 3795, 7866, 7890, 9064, 6456, 7332, 292, 433, 5771, 5926, 6856, 2787, 3198, 6627, 1157, 6255, 1281, 9054, 220, 7159, 5051, 2490, 3949, 7706, 6774, 2135, 4909, 7942, 5001, 2046, 3301, 7496, 1425, 2776, 664, 5996, 4531, 9870, 780, 7650, 8302, 6850, 3254, 7330, 7314, 6477, 1023, 7757, 9639, 584, 639, 4052, 8598, 1740, 7674, 4945, 7641, 4122, 4643, 4604, 1143, 71, 7978, 4163, 2763, 4403, 5761, 6311, 8569, 2716, 9795, 6036, 8801, 5106, 8147, 6583, 822, 2464, 1540, 9055, 6462, 3669, 6995, 5741, 8780, 994, 2313, 4873, 3168, 8504, 7307, 8705, 5218, 7697, 6604, 5501, 4327, 4907, 2563, 7054, 2161, 2280, 4180, 8704, 4648, 1488, 425, 9899, 5703, 9989, 5530, 214, 7335, 3255, 3090, 4656, 679, 8572, 3832, 7541, 5866, 9852, 5848, 7577, 6666, 4273, 651, 7529, 3015, 6375, 3548, 6593, 1934, 9033, 2833, 6448, 4995, 5663, 6301, 7740, 8952, 4030, 7470, 5676, 4129, 1447, 1632, 1513, 6703, 5623, 1960, 721, 6507, 6592, 8648, 8075, 3177, 9828, 762, 52, 8609, 8443, 9524, 2062, 4175, 8, 9850, 4944, 346, 6562, 583, 5202, 6914, 1111, 665, 3366, 1787, 1215, 652, 3192, 1277, 9085, 3438, 7745, 4837, 2101, 1593, 8973, 1355, 2048, 2559, 8947, 6284, 1381, 1346, 2163, 5967, 6261, 4157, 6074, 9298, 9244, 342, 9598, 3748, 554, 5955, 3760, 949, 2236, 5439, 1759, 6210, 6619, 3708, 1087, 1167, 4528, 2534, 1553, 8502, 6045, 5371, 9714, 7253, 9430, 1030, 4087, 5211, 3683, 4768, 7901, 2016, 3524, 9213, 2886, 3812, 1845, 131, 4337, 3620, 6115, 5403, 398, 2381, 6615, 2584, 4701, 1253, 9465, 2245, 1340, 6861, 9607, 305, 8889, 1640, 1045, 7197, 2639, 8396, 739, 5105, 9107, 2197, 4666, 8043, 5509, 4511, 5975, 5758, 4491, 806, 8340, 10, 3243, 4453, 3962, 3390, 8108, 6677, 2812, 5594, 8357, 9116, 3723, 1996, 4125, 2353, 2915, 3625, 8625, 4295, 810, 3731, 513, 1566, 6468, 228, 6520, 2728, 8018, 3793, 3377, 8034, 8164, 9618, 187, 6372, 7750, 5072, 7530, 497, 2118, 1503, 3797, 5005, 8568, 2171, 6104, 7132, 8943, 8133, 9354, 8981, 5947, 4682, 7071, 2326, 766, 4114, 3295, 7171, 8851, 6491, 390, 7323, 6178, 9425, 3328, 2320, 9636, 7503, 7505, 8934, 8460, 3785, 3983, 4036, 8940, 3611, 5332, 5826, 7728, 3194, 7067, 6842, 3970, 5193, 6474, 3612, 9386, 7156, 4839, 5607, 8069, 6664, 8829, 2465, 9599, 6950, 8756, 9118, 8891, 1056, 967, 4712, 424, 7479, 9394, 7408, 7069, 6488, 7214, 4384, 8689, 6712, 2778, 5968, 2345, 5653, 7527, 116, 9926, 689, 5263, 7265, 227, 8856, 1407, 3149, 5559, 8320, 902, 588, 1511, 3374, 546, 1472, 3225, 9445, 5059, 4929, 1613, 9491, 607, 8581, 547, 5639, 3369, 3938, 6222, 8215, 2279, 8835, 2311, 1696, 2488, 3476, 1979, 7721, 8629, 1761, 1137, 178, 9034, 5697, 7510, 7080, 748, 5800, 6862, 5254, 6746, 7441, 149, 7784, 8962, 1327, 8410, 2587, 4881, 5246, 1231, 582, 8757, 9787, 5097, 1107, 6083, 1661, 4921, 1692, 6993, 6187, 472, 5964, 7764, 7676, 2750, 1697, 6941, 4291, 7684, 7384, 1404, 9271, 3299, 7830, 9513, 8180, 2920, 7243, 7035, 4562, 7418, 2365, 301, 6499, 4637, 9420, 7794, 8356, 1068, 821, 233, 4736, 2682, 5380, 2653, 4841, 9560, 4042, 1870, 7422, 1695, 8187, 775, 3173, 760, 6985, 6800, 7932, 223, 4989, 4227, 2085, 4509, 3725, 2959, 9289, 1245, 7601, 980, 9076, 9813, 79, 3482, 3804, 8587, 2298, 844, 2255, 4436, 7977, 8392, 9708, 7917, 1656, 6606, 9710, 3679, 7199, 7804, 3332, 4667, 9497, 2663, 4654, 3031, 7245, 3213, 352, 3451, 1867, 1557, 7421, 7604, 3496, 9988, 5060, 4642, 900, 8046, 1833, 8167, 8020, 6007, 9529, 8508, 1139, 147, 8321, 5681, 2704, 7194, 2356, 1279, 9018, 2622, 2408, 4638, 7811, 1333, 4969, 3738, 7264, 4256, 4260, 348, 8912, 778, 432, 1749, 3426, 5749, 6918, 6155, 4975, 6505, 4713, 1731, 1650, 6256, 4355, 8245, 2361, 4510, 5396, 5734, 4469, 7112, 8118, 5557, 530, 1027, 1093, 8810, 4580, 1767, 6873, 8241, 4984, 457, 1412, 847, 1883, 3986, 9932, 3655, 372, 515, 4212, 6942, 6556, 8127, 3873, 4106, 2354, 9858, 7424, 1531, 8336, 1801, 7568, 5237, 2418, 5596, 8174, 6501, 4167, 1334, 4439, 7434, 5198, 6425, 5136, 2129, 246, 3945, 8828, 3336, 2967, 8175, 1399, 5564, 7055, 9077, 2169, 5404, 7480, 2264, 5772, 9505, 9722, 7210, 7346, 4532, 8792, 2651, 8771, 5079, 359, 2988, 8179, 9960, 7665, 941, 6139, 2067, 20, 9323, 4373, 7426, 9677, 7790, 7260, 2551, 4961, 4514, 919, 9791, 6694, 477, 9294, 8178, 3554, 6710, 4136, 9773, 5325, 4851, 6102, 6265, 7475, 814, 4537, 9422, 6526, 8892, 5728, 4972, 9878, 6813, 204, 9112, 9620, 6508, 5971, 5111, 4217, 2243, 6446, 4145, 2588, 9252, 4191, 9841, 4107, 7557, 310, 5469, 6424, 5580, 3530, 8702, 6837, 4703, 6431, 8600, 9753, 4497, 3560, 6506, 4341, 674, 272, 8906, 1419, 9046, 4676, 5687, 3757, 2593, 7221, 3037, 7962, 3694, 5584, 747, 5042, 3028, 69, 5628, 6642, 9649, 8786, 4097, 244, 6170, 6836, 8673, 2218, 2495, 9671, 6082, 6892, 7292, 3013, 1933, 1337, 7533, 6747, 2035, 8475, 9851, 1841, 7488, 2157, 9653, 4452, 9148, 2980, 5139, 5548, 757, 3191, 3629, 3841, 1343, 553, 2364, 6955, 1966, 3029, 2888, 1859, 8220, 7775, 6417, 5622, 6564, 4876, 140, 9871, 6630, 3203, 7986, 6415, 1350, 8486, 1369, 8281, 5016, 8119, 200, 5288, 5649, 9300, 7682, 4655, 7512, 9098, 9144, 3143, 7840, 9373, 1211, 8039, 2942, 7914, 618, 2826, 8929, 7707, 3621, 782, 6581, 2706, 5269, 9606, 1819, 6108, 4980, 100, 5328, 7472, 8130, 3942, 2708, 9920, 9782, 2254, 350, 8894, 6328, 56, 1170, 8104, 9399, 9729, 1424, 1818, 3480, 8794, 289, 4093, 1446, 2221, 9723, 3467, 3009, 2239, 552, 8438, 2633, 7911, 444, 8599, 1989, 5644, 3901, 7973, 4888, 5240, 5691, 3280, 5451, 4287, 6116, 7357, 8610, 6911, 875, 2779, 9900, 851, 8793, 441, 1722, 708, 1452, 8873, 5550, 1694, 5783, 1520, 4856, 277, 4569, 2934, 4318, 9882, 6398, 3537, 8979, 6185, 6719, 5119, 4387, 3670, 1491, 4324, 7439, 2676, 3358, 7273, 4811, 9437, 3615, 2007, 7172, 6803, 2679, 6839, 7158, 2420, 939, 2012, 5855, 1957, 4120, 5721, 1794, 8877, 6672, 1973, 1623, 1752, 8965, 4017, 5092, 8521, 4619, 6238, 838, 111, 4832, 168, 626, 9078, 4710, 9050, 8748, 6493, 6826, 4788, 4602, 2732, 9943, 9499, 1321, 9285, 4263, 3127, 1727, 3885, 4319, 5994, 3654, 773, 5686, 2083, 5893, 9002, 4521, 1338, 2668, 268, 4785, 2800, 8315, 1905, 6558, 8745, 3508, 3441, 5017, 650, 4570, 6674, 9030, 6422, 9807, 4574, 7556, 5286, 4091, 410, 3969, 4479, 9397, 8269, 8985, 254, 6915, 1628, 1635, 2045, 9358, 7873, 2104, 746, 8862, 3494, 4220, 7647, 1886, 4684, 6778, 9770, 3600, 5301, 2524, 205, 3594, 3968, 3345, 4298, 93, 5360, 6917, 1860, 1448, 7392, 2492, 8888, 2675, 1324, 3484, 9974, 7350, 9647, 8116, 6034, 1236, 4023, 5091, 3865, 3420, 1618, 800, 4835, 8481, 8812, 1968, 1475, 3891, 2874, 6165, 3509, 1530, 1190, 8016, 6681, 1534, 1106, 9776, 9733, 6753, 5156, 2185, 7165, 7053, 1884, 9135, 57, 8603, 1463, 2029, 4576, 476, 3604, 7587, 49, 1938, 1700, 9537, 417, 999, 2159, 829, 1546, 113, 9379, 2780, 3940, 9658, 9955, 3193, 8256, 9568, 8277, 9898, 2219, 9405, 6272, 4098, 1146, 2603, 4216, 8964, 8742, 258, 4258, 8726, 6002, 7576, 768, 3391, 4051, 7961, 5602, 2195, 3103, 9204, 4025, 9593, 2309, 6053, 5655, 7847, 8464, 5835, 6772, 6693, 599, 3412, 9247, 2437, 7552, 4594, 9275, 3337, 8795, 9930, 3924, 6598, 1250, 9296, 3340, 9628, 2274, 2995, 6058, 7052, 5517, 9670, 6947, 365, 4478, 8222, 9442, 1368, 2769, 7161, 4303, 8670, 5889, 278, 3895, 4827, 5522, 7670, 6546, 2299, 3847, 3691, 9857, 9590, 8439, 9765, 3048, 6860, 9416, 8404, 4543, 4156, 7180, 4988, 7611, 4266, 8413, 4954, 673, 1894, 3741, 3232, 5153, 7824, 1785, 3104, 6343, 9964, 3991, 755, 9665, 2322, 7722, 959, 1219, 8767, 7109, 7752, 3245, 6149, 9854, 4726, 5669, 7163, 3552, 3284, 8663, 6739, 2854, 9544, 163, 9230, 9752, 6199, 4563, 9052, 2540, 4274, 4361, 6194, 7407, 2674, 1267, 8337, 8775, 4844, 6191, 8901, 5808, 9385, 6700, 9902, 2131, 659, 1470, 4663, 2212, 6891, 7509, 6621, 4948, 3810, 5638, 2847, 567, 4317, 9448, 5433, 4382, 595, 8953, 1418, 9303, 3538, 5765, 7144, 1814, 2287, 5373, 7463, 9408, 3575, 8226, 5243, 2933, 8926, 2491, 2600, 6305, 2064, 7182, 7366, 3944, 7468, 9049, 1871, 5576, 3319, 3392, 4310, 1592, 8274, 9689, 1169, 3619, 986, 9004, 8142, 8517, 4970, 413, 7160, 6325, 2845, 215, 6097, 6218, 3141, 1252, 430, 9231, 8719, 4467, 4334, 6588, 6906, 956, 1428, 927, 3766, 8650, 5773, 1679, 2844, 8717, 9877, 6333, 8995, 3755, 6059, 6802, 882, 4708, 5178, 7302, 2707, 9774, 481, 6561, 9827, 8709, 9051, 1264, 1526, 5453, 2580, 1078, 1151, 5586, 3266, 4559, 4057, 3742, 377, 8158, 6440, 4822, 4434, 6259, 5068, 2432, 4545, 5452, 3880, 3403, 5463, 2873, 5905, 8990, 2565, 3343, 389, 7209, 562, 5657, 5641, 8924, 7980, 7224, 6687, 9904, 8882, 320, 6790, 9831, 5318, 1532, 3223, 4758, 9478, 6389, 5151, 5366, 8855, 6901, 9340, 6521, 3107, 4483, 5578, 2026, 6136, 8310, 4824, 697, 2454, 5871, 6306, 4699, 8306, 1114, 1362, 9626, 5014, 9095, 8822, 5907, 5790, 1390, 2648, 4836, 4818, 1709, 2241, 3631, 5411, 6172, 2095, 691, 7291, 3183, 1002, 1733, 7390, 1086, 8497, 9150, 2074, 4090, 911, 5277, 5181, 122, 4462, 4100, 3003, 8066, 5258, 3237, 2883, 5493, 7856, 2091, 8308, 1861, 491, 4124, 3293, 280, 5563, 6220, 3275, 3051, 4522, 2813, 3338, 4964, 8872, 2865, 345, 4695, 1608, 1225, 8395, 9309, 8324, 3517, 6060, 86, 8362, 1889, 9220, 1203, 5215, 2237, 5592, 6771, 9443, 3040, 5729, 4913, 7646, 6079, 6613, 1753, 7092, 8416, 3121, 3024, 3958, 8455, 1374, 2360, 3126, 9427, 115, 5126, 783, 5385, 8588, 5071, 3883, 1952, 6784, 2363, 6777, 8386, 4645, 7960, 732, 1542, 1508, 1286, 9535, 5316, 8716, 3658, 1799, 8526, 7206, 2468, 5251, 9835, 9380, 9725, 1724, 8425, 2373, 9310, 506, 6966, 3395, 8252, 463, 4222, 1997, 3242, 9713, 4366, 8287, 5124, 842, 199, 7754, 2523, 3157, 7014, 3367, 9949, 8338, 4422, 2533, 9549, 7084, 5792, 3178, 5817, 34, 8837, 4083, 7668, 787, 1648, 3169, 5543, 9842, 1551, 2205, 9336, 1797, 7899, 5422, 2889, 3886, 7504, 7963, 8790, 316, 2684, 5503, 8263, 788, 1777, 2193, 7485, 7936, 6814, 4767, 6380, 9748, 3417, 312, 6270, 3704, 7090, 6978, 5579, 2362, 2017, 1897, 1716, 7337, 7968, 3953, 8442, 92, 7113, 2355, 7975, 9177, 1599, 8449, 5775, 4241, 9138, 2223, 754, 3750, 5190, 9666, 4232, 3682, 3799, 9268, 7605, 8388, 3910, 2937, 897, 6974, 375, 2105, 8299, 5534, 2499, 5428, 73, 9816, 6209, 914, 8511, 6924, 5906, 329, 8807, 2924, 8544, 5306, 2595, 1152, 2388, 4731, 5737, 9895, 1803, 3310, 1273, 8543, 5740, 8893, 8659, 230, 8123, 6909, 5103, 8140, 1185, 8457, 334, 4300, 9314, 2991, 7281, 6363, 5720, 9183, 3515, 3545, 2618, 2662, 5364, 383, 9225, 4507, 9629, 885, 5824, 1816, 9133, 4475, 6895, 1158, 4662, 5665, 6730, 6110, 4816, 5216, 1717, 5204, 627, 5210, 7868, 6179, 6024, 8520, 5985, 3124, 3527, 9201, 9582, 144, 2550, 5040, 1196, 6239, 519, 574, 5651, 5919, 4449, 9253, 4016, 5377, 7377, 7956, 6843, 2591, 464, 9531, 5799, 8363, 288, 6659, 3805, 9435, 5449, 8420, 4924, 7328, 2792, 5036, 596, 6150, 1118, 1403, 290, 675, 3267, 7749, 3147, 3137 ], [ 1096, 7033, 649, 5027, 1745, 3718, 9810, 5163, 1500, 3058, 2401, 3941, 6247, 495, 3433, 5654, 65, 4683, 6094, 136, 5208, 4271, 4705, 1326, 643, 7282, 8076, 4565, 5928, 5424, 4783, 6072, 9121, 226, 4009, 1675, 9431, 2213, 9059, 3363, 3763, 9251, 4896, 5361, 3440, 7897, 1891, 1896, 7959, 3821, 5868, 9488, 8105, 9171, 6181, 6046, 2771, 8200, 8848, 990, 9254, 710, 4598, 1763, 9872, 8649, 4560, 3529, 719, 5763, 8910, 3858, 9163, 88, 9332, 5739, 1405, 8983, 6433, 4296, 9503, 4440, 5457, 9498, 8317, 6701, 9341, 4369, 6571, 2039, 9282, 763, 4283, 7667, 6217, 4383, 4547, 2261, 9574, 3038, 1090, 5950, 5474, 9509, 440, 2727, 2297, 6412, 8353, 4770, 7761, 5568, 3082, 1985, 4020, 5969, 7134, 8503, 3988, 68, 1422, 7730, 51, 3522, 306, 3408, 2375, 271, 9905, 3707, 2809, 7066, 3297, 4979, 8537, 7311, 6019, 9062, 33, 779, 2938, 7086, 4681, 2270, 8283, 3816, 520, 2683, 6135, 645, 3850, 1538, 5047, 8577, 2150, 5344, 87, 4747, 9693, 5611, 752, 3130, 4555, 9517, 7121, 7146, 2984, 4940, 2514, 4221, 3632, 591, 6242, 9975, 3100, 8370, 8830, 6236, 5732, 4137, 7000, 9676, 1398, 8113, 7937, 9563, 1554, 7331, 4132, 2510, 5863, 5073, 8871, 4730, 8152, 812, 3765, 4567, 893, 820, 7027, 8787, 8083, 2553, 7170, 5175, 419, 3811, 2700, 3779, 198, 4336, 5489, 2449, 3161, 4362, 9772, 9892, 9178, 2349, 203, 6898, 3849, 4923, 1537, 1615, 5242, 6204, 9487, 5252, 255, 4289, 5114, 5832, 6530, 5003, 3662, 7177, 7115, 6013, 4223, 7818, 9826, 2000, 8824, 6825, 1469, 5521, 9241, 7765, 5825, 2153, 3034, 3709, 105, 5023, 4117, 2097, 5759, 5026, 7017, 694, 3136, 9345, 7969, 8676, 7248, 585, 7293, 7747, 6130, 799, 4791, 6831, 1449, 695, 1387, 3688, 7225, 823, 7872, 6734, 3513, 8507, 1473, 5437, 4585, 405, 879, 3023, 8010, 5239, 3101, 9664, 5617, 4277, 4687, 9028, 7153, 4487, 4800, 1159, 9210, 6112, 4006, 6804, 5581, 9362, 3837, 4620, 5448, 9864, 3162, 1560, 5936, 6893, 2631, 5140, 5326, 5080, 6787, 8459, 1104, 99, 5635, 7490, 5977, 7286, 6475, 3844, 635, 2194, 6251, 3686, 7525, 7743, 249, 210, 6138, 8955, 2414, 8528, 1082, 6750, 6476, 704, 6472, 4517, 2765, 1035, 2502, 7137, 6006, 3068, 1304, 8318, 3499, 4872, 841, 2748, 2710, 9172, 41, 6426, 5944, 6444, 3355, 9406, 5776, 4270, 6541, 7391, 6548, 8583, 2403, 7695, 6280, 5348, 3992, 1441, 7322, 1456, 1800, 172, 1385, 7716, 3050, 8927, 3365, 437, 8674, 3740, 7543, 1092, 991, 4857, 9953, 2783, 3172, 1699, 2089, 3414, 2459, 3256, 3109, 6176, 3226, 8054, 7290, 1432, 1302, 5185, 1220, 8992, 2072, 2878, 6763, 6043, 7814, 5336, 6335, 9454, 4363, 6193, 692, 7562, 1289, 5369, 9311, 7376, 1954, 5627, 4264, 5768, 3733, 9492, 4588, 9779, 1693, 2052, 1065, 8262, 7507, 2123, 7669, 9516, 7329, 9277, 4795, 5954, 8254, 8138, 6594, 928, 2725, 559, 2186, 867, 9991, 8798, 9771, 4499, 3097, 9819, 8864, 1375, 6298, 4455, 7495, 1856, 5898, 8961, 7321, 165, 4902, 5675, 3292, 9730, 5383, 8430, 7619, 7550, 5746, 8448, 5117, 3933, 1098, 6480, 2286, 2498, 5726, 4063, 5220, 2882, 5402, 3087, 9119, 8845, 1980, 3322, 1266, 2382, 1458, 2209, 400, 6037, 2411, 119, 358, 7686, 9187, 3593, 5743, 9211, 3383, 6416, 712, 7700, 2037, 6264, 9954, 7222, 4855, 7589, 7526, 2517, 8466, 9662, 263, 1461, 2208, 1206, 7679, 4108, 459, 1358, 9686, 7481, 3333, 5113, 6910, 8759, 4639, 1258, 385, 2972, 2734, 9637, 1313, 2167, 2853, 3055, 5046, 2303, 4933, 7598, 1776, 5642, 8300, 1453, 109, 7931, 7608, 3521, 5671, 7652, 1830, 4344, 3447, 3736, 7130, 4680, 8628, 3108, 9402, 4671, 1089, 7263, 8225, 2512, 6660, 9874, 5629, 1711, 3179, 283, 4034, 6815, 5423, 4557, 2979, 6517, 715, 2626, 4990, 9925, 3094, 5006, 6196, 6051, 4395, 8638, 5436, 1315, 7614, 2057, 4865, 6827, 7877, 1116, 4904, 9906, 7727, 9195, 4464, 9479, 4539, 7842, 3201, 90, 1125, 1637, 8185, 5645, 1680, 304, 7645, 7405, 5342, 2797, 7117, 8399, 9565, 1543, 541, 4335, 9809, 1622, 2294, 1003, 6371, 8473, 3049, 1153, 3543, 2956, 4952, 2366, 7204, 5599, 4613, 2936, 9766, 5236, 4176, 2726, 6665, 7438, 1011, 8012, 2487, 8593, 9350, 954, 6092, 3449, 3516, 2966, 688, 5864, 32, 8023, 3386, 555, 6109, 3534, 3308, 9198, 3568, 3464, 3634, 6682, 3830, 7953, 6988, 3257, 3305, 2545, 8434, 1193, 5496, 2846, 1247, 5267, 9832, 4472, 1713, 2391, 3401, 1285, 8477, 7231, 7626, 3425, 4340, 8360, 2687, 8447, 2781, 9914, 9952, 6047, 5735, 4278, 3075, 1354, 3661, 8931, 3935, 615, 7235, 1918, 2456, 9227, 4675, 6040, 9745, 4130, 2344, 2629, 4774, 5978, 8865, 8041, 2055, 8212, 647, 4213, 9403, 5391, 8470, 8100, 4633, 7737, 6707, 5987, 5664, 7431, 5058, 261, 3671, 8345, 1925, 8817, 9424, 7401, 7140, 2686, 5069, 8170, 1536, 3334, 637, 8214, 6356, 6961, 4206, 1179, 8384, 9696, 3187, 2503, 2207, 6633, 3967, 8173, 3800, 8699, 891, 8125, 8089, 6929, 7445, 3324, 2398, 9825, 6761, 1042, 4013, 9834, 4775, 9610, 307, 7852, 6759, 4917, 9572, 2266, 4345, 8890, 2251, 4470, 1013, 3370, 2018, 684, 5754, 3520, 2444, 3318, 2235, 8514, 3583, 8679, 6312, 7906, 6288, 7356, 3732, 8238, 8307, 5972, 5597, 5712, 9726, 5957, 6818, 7600, 5415, 3827, 4233, 6949, 3589, 738, 970, 1347, 3477, 5375, 3926, 2870, 8316, 5560, 6332, 5199, 8665, 4412, 2006, 6322, 9374, 5989, 7599, 2200, 6509, 5319, 4947, 7970, 3116, 1216, 411, 9929, 7797, 968, 9441, 7590, 4833, 1762, 5850, 1176, 2327, 3747, 745, 7692, 8898, 4060, 2387, 8621, 8445, 9185, 5912, 7673, 2451, 3277, 2061, 3054, 3900, 6419, 38, 2050, 8781, 1043, 4533, 4762, 6713, 6148, 2742, 3954, 1829, 8476, 1880, 3002, 9893, 864, 7233, 2546, 2087, 9542, 9799, 7220, 2244, 6167, 3989, 1209, 8696, 7467, 6880, 1221, 6610, 3415, 4299, 2352, 2848, 354, 5762, 6757, 7593, 2033, 1332, 9880, 3129, 7578, 1854, 5488, 921, 1992, 2021, 7825, 6018, 6075, 206, 1642, 9352, 7396, 7107, 3845, 1574, 5456, 2930, 2777, 2214, 7237, 1848, 1462, 2943, 3603, 9356, 7844, 7326, 2841, 2786, 544, 7597, 7615, 4118, 3077, 9530, 9455, 7021, 892, 7835, 6455, 9576, 8391, 9886, 6726, 8237, 2190, 5500, 1586, 4070, 4446, 6430, 128, 7484, 3036, 8936, 3563, 8540, 5232, 9315, 3874, 5149, 8224, 2823, 6948, 8182, 3980, 8027, 5782, 5304, 7310, 2041, 2544, 1481, 6529, 8766, 9042, 1601, 1983, 8538, 452, 2385, 4350, 6302, 8585, 2903, 1585, 2625, 6547, 475, 9520, 9410, 8563, 5132, 7297, 1738, 1670, 473, 5660, 5333, 3081, 9480, 3902, 9604, 2172, 7610, 9104, 3823, 7881, 690, 7272, 2293, 6180, 7128, 6736, 3251, 5353, 9562, 2139, 5399, 5481, 3778, 2198, 8843, 557, 972, 3424, 7718, 8297, 9611, 9601, 3394, 975, 2538, 110, 9037, 6791, 4269, 8190, 7563, 785, 8422, 7903, 5830, 2522, 636, 3696, 5061, 3302, 9521, 594, 8050, 1057, 8351, 6788, 9283, 5736, 7400, 5811, 9859, 3542, 4138, 4685, 9097, 2075, 9907, 8331, 5710, 6706, 97, 9728, 5696, 8772, 9790, 1512, 4610, 3699, 8227, 1522, 6637, 6798, 2160, 4065, 3056, 4442, 5389, 3222, 5633, 7333, 7419, 2709, 9168, 9081, 6692, 78, 9909, 2121, 9072, 1410, 5860, 7855, 1353, 6626, 5290, 3905, 3939, 9261, 4229, 6830, 4897, 9879, 809, 9246, 3076, 3978, 336, 1122, 7336, 9459, 6919, 4789, 616, 3261, 8428, 1873, 7030, 8325, 868, 4054, 716, 5873, 1629, 327, 5733, 5067, 3402, 4280, 1669, 9450, 9069, 3260, 5504, 4448, 5413, 9885, 514, 765, 4660, 6297, 1840, 5618, 6057, 2305, 7433, 6789, 9683, 565, 3458, 4825, 3250, 5941, 8479, 8826, 6855, 535, 5384, 4714, 6779, 2830, 8960, 9692, 1232, 3176, 270, 1920, 5044, 3695, 185, 6793, 3843, 9065, 4698, 3943, 1467, 9471, 1636, 3959, 4003, 3236, 3152, 8453, 9757, 3274, 5043, 1881, 7628, 8456, 613, 5930, 2370, 759, 2310, 1175, 1583, 6523, 6303, 1409, 2181, 4558, 8270, 26, 9495, 2822, 1760, 7447, 1305, 2282, 5856, 6286, 4389, 1163, 6267, 7781, 6965, 8836, 9547, 2688, 5129, 7642, 2032, 7003, 6294, 4281, 2011, 8623, 8358, 1237, 8013, 2141, 9962, 6805, 3836, 5152, 5472, 7151, 483, 1026, 8988, 8977, 7008, 6722, 2897, 2024, 8063, 221, 3955, 2656, 5184, 2669, 7169, 5769, 3622, 4385, 5891, 1596, 8483, 7666, 23, 8941, 5585, 1577, 1847, 2945, 250, 7791, 3074, 1609, 6576, 7363, 2402, 1900, 6289, 9391, 3189, 1457, 865, 9166, 1552, 7834, 3879, 8693, 355, 1953, 9845, 9473, 2697, 2695, 6229, 4732, 396, 5056, 4035, 4368, 3427, 1625, 7801, 7138, 8141, 9566, 3385, 1466, 1903, 8662, 7399, 7018, 671, 5307, 5992, 9130, 2156, 4415, 3649, 2103, 9846, 3300, 7861, 5516, 6670, 4573, 7734, 4268, 9483, 4950, 5874, 614, 5000, 9137, 9020, 7011, 1036, 1999, 407, 5408, 4826, 7795, 101, 2917, 7185, 4848, 2782, 9805, 4286, 2374, 7275, 9571, 5924, 3777, 724, 4306, 9006, 7869, 5872, 8685, 7004, 1081, 6458, 4076, 2867, 4028, 3092, 5643, 1257, 4581, 1809, 9117, 2712, 9382, 4480, 5095, 4503, 1085, 3869, 1207, 6565, 3006, 1943, 9432, 7810, 7815, 7375, 7285, 4267, 6744, 6215, 1774, 8240, 912, 9891, 2541, 3769, 2290, 5506, 560, 4614, 3309, 1773, 1676, 4235, 4169, 791, 9956, 4583, 7389, 4297, 5278, 4476, 3533, 6874, 7268, 4760, 5492, 1877, 5109, 568, 9694, 668, 3064, 8635, 1443, 7518, 5677, 3465, 6673, 2440, 2549, 4605, 80, 3041, 3375, 3388, 854, 8062, 852, 2880, 6770, 4205, 3578, 5897, 8369, 945, 2702, 1911, 6223, 4192, 7499, 454, 9073, 2567, 9602, 2568, 818, 9718, 4394, 1120, 2263, 376, 9697, 9245, 1217, 2229, 9717, 8530, 6438, 8444, 6213, 9343, 2289, 3486, 1876, 9190, 196, 8433, 9515, 2335, 3526, 7298, 6946, 469, 6695, 6882, 7921, 2201, 6515, 6126, 2638, 982, 6031, 3911, 9024, 428, 9983, 7508, 9586, 8754, 6539, 3495, 2276, 7315, 7944, 4323, 3948, 881, 9278, 3235, 4717, 1339, 5923, 992, 1487, 9176, 2249, 978, 3638, 5885, 4309, 9313, 5309, 8735, 4377, 9440, 2396, 7122, 106, 7010, 5395, 8712, 7774, 1051, 611, 1792, 9349, 7102, 3117, 653, 5921, 2794, 7566, 9935, 824, 2379, 9806, 3265, 8542, 5876, 5180, 709, 6420, 7957, 4426, 8903, 3586, 8969, 2358, 1827, 3772, 4026, 5354, 6016, 2010, 8400, 8532, 9267, 8525, 9648, 6886, 1756, 8109, 1617, 9934, 8087, 3072, 7715, 6339, 1587, 1510, 666, 8634, 2304, 542, 2821, 5363, 8279, 3820, 2288, 1728, 7428, 5222, 9326, 2341, 2555, 9022, 2652, 2931, 7760, 9884, 7623, 7767, 3822, 3774, 638, 1415, 4071, 2253, 4328, 9561, 7458, 7478, 4746, 4899, 1664, 3088, 2292, 2479, 6125, 680, 6105, 7629, 7365, 6360, 6937, 45, 8666, 7896, 3887, 2628, 5031, 5843, 9359, 2975, 5661, 7758, 6368, 4432, 4915, 5796, 9308, 6835, 8860, 4314, 5979, 4179, 2570, 2859, 9384, 9731, 6128, 8541, 4847, 1330, 6579, 756, 9401, 5257, 489, 3535, 5766, 5234, 7312, 6792, 4920, 2030, 2445, 335, 8863, 8139, 6704, 2954, 58, 4993, 3, 6587, 2532, 6473, 5812, 641, 6786, 1331, 6402, 6117, 7522, 9848, 4103, 9337, 9703, 9346, 8512, 7223, 7643, 6457, 9624, 5146, 4153, 7061, 3678, 9400, 7299, 1654, 9460, 9631, 8159, 8177, 9429, 5705, 5689, 531, 4951, 8656, 2989, 9376, 9206, 2602, 7266, 1976, 7826, 1160, 1736, 2265, 6885, 7212, 578, 3574, 8361, 291, 4099, 5555, 7807, 6161, 8282, 8465, 4971, 6783, 572, 1000, 6980, 9643, 4550, 5341, 3782, 8467, 905, 5217, 8458, 89, 238, 5608, 7373, 5094, 1698, 4058, 3071, 931, 9243, 3364, 6114, 6263, 5427, 7476, 6308, 9548, 3803, 2419, 8150, 8176, 9724, 848, 8253, 158, 3070, 6188 ], [ 4983, 8806, 7468, 6642, 7431, 1961, 7203, 4925, 9458, 4854, 2379, 3252, 328, 8377, 8737, 4375, 6367, 4228, 7345, 9015, 5853, 6498, 6482, 4255, 9317, 1213, 2266, 2847, 1945, 738, 8141, 5764, 9910, 4956, 3012, 1307, 2344, 2429, 2927, 8659, 438, 8685, 3784, 5696, 2025, 1735, 6573, 7795, 2695, 8320, 966, 509, 2153, 4044, 6313, 7076, 5717, 2837, 4248, 8829, 5511, 6819, 4917, 6290, 5590, 9020, 7962, 828, 7549, 2772, 6219, 5129, 3925, 8714, 1085, 2533, 9311, 9322, 5655, 8177, 8129, 1024, 1270, 9614, 36, 6493, 6515, 8066, 7340, 704, 7440, 6564, 7582, 5326, 3815, 3006, 4894, 1136, 7082, 1966, 2564, 6933, 5405, 1693, 9690, 7709, 9828, 3996, 2178, 1983, 4458, 88, 8309, 5783, 1249, 1291, 6181, 804, 300, 340, 2467, 6892, 9995, 2308, 1319, 9830, 6485, 9522, 5445, 8830, 2828, 3263, 1231, 6636, 4694, 9126, 2970, 5096, 6405, 5047, 5684, 9243, 4426, 8587, 8188, 8666, 1912, 9973, 1388, 4702, 9501, 3382, 1633, 3049, 3616, 2620, 3728, 9754, 6942, 1243, 1442, 7858, 8767, 9201, 7486, 6322, 2742, 4724, 6054, 2143, 3315, 8181, 247, 920, 149, 9182, 1526, 6222, 685, 2223, 8482, 2310, 5785, 7660, 5799, 7210, 3730, 1419, 3679, 266, 5659, 2696, 562, 15, 7567, 8238, 1818, 3353, 3800, 4585, 1885, 5934, 502, 8001, 1996, 2207, 3348, 9682, 1548, 1955, 6905, 2665, 1303, 9896, 719, 2786, 195, 1440, 5376, 7181, 7418, 2812, 5144, 4115, 9173, 2871, 3450, 5261, 1092, 8146, 61, 5457, 3079, 9136, 7407, 8547, 7849, 992, 6220, 5146, 695, 1641, 9714, 8964, 138, 4693, 1549, 9410, 5964, 5045, 4946, 7483, 6198, 1010, 6192, 8036, 6517, 4089, 5617, 96, 7166, 7193, 3797, 5588, 7445, 3875, 5109, 2872, 9598, 441, 1480, 784, 1931, 5439, 3227, 6775, 9806, 3078, 5089, 6480, 4183, 717, 5110, 5414, 1592, 7525, 3, 8467, 3358, 9377, 5028, 4863, 8078, 1596, 1852, 1672, 7818, 533, 9058, 7569, 3916, 8832, 9979, 2698, 7428, 8862, 69, 7471, 7254, 6124, 1017, 7961, 7499, 1958, 1055, 6261, 6131, 2480, 3016, 8934, 7690, 4394, 9542, 7023, 857, 3274, 9088, 4938, 6907, 9561, 2548, 1016, 7710, 5758, 297, 1049, 9858, 3589, 1602, 2885, 9588, 6540, 4343, 6812, 8432, 6754, 4650, 2118, 5162, 3034, 1372, 4039, 6370, 6985, 2610, 8183, 7613, 2473, 2792, 8769, 8706, 7056, 276, 2822, 7196, 4289, 2531, 7532, 5646, 8923, 1615, 8687, 2175, 9932, 2343, 3496, 8643, 2627, 2583, 2949, 628, 7983, 6230, 8032, 8403, 8487, 5354, 5839, 3837, 9837, 7, 75, 9906, 1028, 2549, 5387, 2836, 4844, 7467, 6378, 6323, 3709, 6380, 1866, 531, 9411, 2860, 5708, 8928, 1009, 1367, 6783, 7227, 814, 1218, 1273, 7553, 7190, 4688, 9019, 6736, 4368, 65, 4553, 9456, 2612, 9546, 9551, 4684, 1164, 3183, 9406, 2906, 9943, 6935, 7573, 7611, 4985, 2979, 5290, 5225, 3166, 9528, 30, 6632, 7509, 9606, 91, 2967, 2138, 5432, 5053, 7213, 7652, 3634, 1802, 453, 1402, 4677, 8180, 6324, 4964, 1844, 8166, 3552, 1122, 596, 6760, 5951, 2790, 5557, 8826, 5567, 4204, 4410, 9120, 1461, 5270, 1624, 465, 8785, 5627, 7313, 1333, 570, 1815, 1854, 7074, 1635, 4787, 5536, 2978, 1712, 2304, 586, 5880, 6117, 38, 9448, 3591, 6225, 7588, 1191, 6948, 7557, 2187, 5073, 1383, 9234, 4079, 2663, 4451, 4150, 280, 2960, 3833, 2737, 4017, 6218, 652, 7059, 5168, 8170, 3395, 1415, 3104, 9101, 3735, 9757, 3899, 2532, 4646, 1598, 8726, 1965, 8993, 2579, 135, 1681, 5626, 5653, 6125, 6270, 6062, 5192, 9358, 1613, 5670, 3001, 3384, 7913, 8662, 440, 8275, 8501, 6241, 8608, 4932, 6773, 976, 4282, 7672, 1289, 1687, 9489, 1879, 6129, 1724, 9273, 9991, 9460, 2753, 925, 3851, 1682, 1474, 8707, 4598, 1531, 8225, 9882, 4792, 8353, 4924, 5377, 8819, 5993, 7188, 8995, 2947, 269, 18, 9346, 6724, 3921, 1169, 2994, 6386, 9057, 5065, 9797, 6928, 5949, 9028, 7594, 9674, 8884, 1239, 5769, 3076, 8751, 867, 8537, 66, 4537, 287, 7636, 3558, 3044, 2709, 7778, 2642, 6980, 9416, 9000, 251, 5195, 6037, 2378, 8382, 7552, 8562, 2295, 4846, 3942, 7566, 104, 1865, 691, 7835, 7781, 1264, 24, 5598, 1696, 1769, 5154, 7153, 8796, 8175, 4489, 9681, 686, 948, 1824, 7543, 936, 7953, 80, 7828, 737, 2570, 5618, 1149, 2554, 7427, 6244, 798, 6874, 7372, 5188, 9632, 1086, 5316, 9319, 7878, 8462, 3117, 5035, 3910, 1311, 3415, 9359, 8028, 1026, 4151, 5370, 8276, 2349, 4813, 8596, 6952, 8413, 3036, 1640, 1776, 5732, 9834, 7348, 3506, 8358, 5038, 5178, 6986, 8508, 9256, 6437, 2119, 7422, 4647, 901, 9153, 2543, 3565, 6869, 1646, 8683, 6879, 3743, 1839, 4415, 2722, 8680, 7641, 5051, 4859, 6330, 458, 5703, 2616, 4160, 9662, 2488, 3574, 2244, 3606, 3113, 5541, 2026, 2971, 5369, 6303, 7180, 6565, 5223, 7869, 7673, 727, 2396, 3297, 9831, 1053, 29, 2448, 4730, 175, 1481, 2918, 3535, 1060, 9321, 7807, 3451, 1849, 3859, 4042, 5834, 2736, 8697, 6511, 7768, 7138, 4122, 8455, 8747, 9793, 9940, 2704, 3085, 7308, 8842, 5253, 3266, 89, 3561, 3412, 764, 9396, 5463, 238, 547, 8946, 6408, 9507, 6615, 7901, 4699, 2265, 9390, 1443, 5989, 4349, 6958, 3329, 2438, 7687, 7247, 4966, 6849, 5170, 7732, 8618, 861, 1301, 5943, 9699, 579, 4344, 8690, 6094, 6674, 2941, 3005, 887, 528, 3259, 4085, 3272, 6867, 7826, 4664, 9564, 5768, 4162, 6348, 2758, 8985, 3442, 3946, 1029, 4784, 4603, 1290, 8446, 1642, 5452, 5174, 8054, 130, 2639, 2654, 661, 2893, 535, 9235, 5171, 396, 702, 6077, 8711, 5921, 7371, 9508, 9487, 3411, 4391, 9947, 7147, 4290, 7460, 8152, 3188, 1115, 1119, 2896, 3418, 2316, 6375, 8818, 5663, 4120, 6909, 9207, 7007, 7150, 6866, 4962, 6997, 2093, 4936, 1177, 9568, 301, 9652, 6269, 4043, 780, 3099, 8109, 2225, 4253, 9732, 9711, 5294, 8435, 6150, 4871, 9217, 5642, 8491, 8939, 8398, 2725, 5550, 9440, 4380, 2318, 2706, 1108, 1124, 246, 5867, 7362, 2598, 6424, 8193, 6842, 7562, 2011, 8627, 2100, 9912, 4239, 7814, 7312, 428, 6130, 778, 6872, 235, 1296, 4976, 8402, 9886, 3778, 8544, 7237, 6283, 1152, 6312, 7197, 9347, 6733, 4952, 7679, 9613, 4499, 3682, 4721, 563, 2150, 299, 6566, 653, 9154, 1326, 4216, 1147, 346, 4838, 3770, 7640, 7366, 2955, 7433, 2773, 3981, 3253, 8912, 468, 1091, 9220, 5296, 1375, 4141, 7845, 8642, 1212, 7276, 8157, 1167, 4476, 2248, 8184, 397, 1151, 9345, 5398, 2647, 3887, 4411, 6418, 4791, 7888, 6589, 5323, 49, 1096, 969, 4080, 1564, 6436, 6006, 9898, 6275, 7737, 748, 286, 420, 8792, 942, 6778, 6066, 1586, 9100, 4546, 9344, 4587, 6833, 8397, 3230, 8150, 7094, 2751, 4511, 2198, 3733, 575, 5180, 6197, 2454, 5988, 3652, 5930, 8565, 9960, 1221, 3844, 319, 2015, 2937, 4980, 9497, 9093, 5411, 1670, 8563, 1676, 4541, 5238, 8153, 9569, 5776, 4949, 8415, 5516, 662, 4509, 3029, 6666, 5401, 6173, 2083, 7880, 315, 7980, 5027, 2252, 5382, 8201, 9545, 6110, 1355, 4240, 505, 16, 4610, 3699, 2621, 7317, 3828, 3904, 1155, 141, 9775, 676, 3672, 1175, 5808, 2226, 5407, 6707, 1117, 3460, 2019, 9244, 6848, 1840, 1719, 7875, 242, 462, 3605, 850, 9336, 3518, 123, 4269, 3247, 3457, 9198, 5841, 7027, 7078, 810, 1007, 7226, 2469, 1971, 4256, 1987, 7757, 4298, 8102, 4157, 2487, 1749, 9491, 5715, 7220, 5681, 8020, 6393, 5121, 883, 356, 6728, 5914, 8882, 7283, 2762, 1833, 8866, 5320, 5281, 2854, 1809, 1110, 4023, 7165, 3470, 8103, 984, 3796, 7651, 7771, 6101, 4659, 7363, 1001, 9818, 8259, 9687, 2511, 6251, 1329, 633, 4743, 9271, 3235, 393, 4456, 2196, 6462, 7577, 6398, 8570, 7542, 2505, 9409, 8215, 5477, 9469, 3203, 3642, 4295, 6487, 9913, 809, 5643, 3347, 4517, 394, 4549, 9529, 6902, 3760, 6414, 1370, 5925, 2109, 9441, 9404, 6521, 1780, 2050, 3987, 4807, 4305, 1990, 1799, 6758, 8240, 402, 1111, 9032, 64, 2014, 114, 8346, 1797, 624, 3578, 6278, 6801, 4121, 4491, 7664, 6151, 7098, 807, 4025, 1856, 1134, 3378, 2648, 1391, 7745, 2159, 1636, 14, 1838, 8959, 6913, 3151, 4955, 1567, 2350, 2157, 6248, 9803, 6911, 8528, 7787, 7064, 4973, 1894, 6190, 6595, 6136, 970, 4551, 7031, 8224, 7470, 9663, 723, 6444, 2270, 8813, 700, 6530, 7224, 7665, 2536, 2605, 5263, 3972, 1321, 1814, 5600, 8571, 3704, 6260, 6806, 9908, 697, 9230, 9206, 501, 7167, 7786, 3208, 5012, 6419, 2281, 4028, 165, 255, 3587, 6796, 1683, 7668, 1358, 5527, 7753, 2262, 6826, 2584, 8379, 4492, 6014, 8758, 4820, 8665, 626, 4217, 5282, 2585, 44, 2337, 6449, 4620, 6216, 176, 3719, 6187, 9543, 5875, 2981, 3141, 7608, 7184, 419, 4212, 7290, 5727, 1828, 109, 4421, 4783, 3788, 833, 5826, 972, 6234, 3580, 5066, 6083, 9425, 8919, 7682, 3724, 1568, 9814, 1404, 3155, 8314, 1956, 890, 4697, 5423, 3356, 2256, 4249, 4727, 6158, 5084, 1280, 4138, 7545, 5314, 2990, 4074, 2271, 7643, 6688, 4879, 5150, 1786, 7712, 7584, 1831, 2869, 3970, 137, 6299, 244, 3127, 1107, 2802, 1450, 5654, 8154, 3145, 4892, 9368, 749, 9067, 1588, 8594, 353, 2870, 2660, 9654, 4923, 9680, 7571, 5009, 5292, 4920, 291, 335, 6435, 2176, 459, 6253, 2347, 1341, 9177, 5640, 9397, 4107, 9483, 1603, 7923, 5632, 4196, 1346, 1380, 5835, 81, 7202, 7707, 9909, 76, 8444, 6811, 6694, 5866, 2514, 200, 4505, 1248, 2841, 1468, 3129, 4575, 9929, 6770, 4286, 152, 7580, 6878, 4799, 9679, 2936, 2334, 1573, 9548, 5857, 4033, 7234, 8055, 3326, 7744, 1545, 9053, 9790, 4769, 2390, 2683, 2417, 4084, 9074, 4908, 9630, 8876, 4836, 237, 1959, 5179, 2432, 7900, 6663, 9125, 7620, 3893, 9238, 1978, 7218, 9299, 4590, 6395, 1876, 7855, 1654, 9756, 9792, 1536, 9221, 3175, 8897, 6590, 2188, 1803, 5838, 3062, 2840, 8541, 8611, 9689, 4340, 7264, 1154, 1589, 7069, 9435, 7601, 9925, 5240, 1860, 9556, 797, 3789, 6781, 5384, 5751, 2578, 6611, 1208, 3217, 1893, 866, 9597, 9530, 897, 8165, 5039, 3427, 349, 1920, 4695, 5133, 5942, 1389, 2777, 2611, 5675, 1653, 8976, 1505, 2095, 8477, 3984, 9928, 3287, 9412, 3207, 4182, 1563, 1943, 6483, 2082, 8966, 1886, 2997, 4416, 4566, 7044, 8641, 218, 7922, 4887, 5386, 4502, 3923, 1841, 8776, 3795, 9402, 5388, 7649, 5448, 9165, 1897, 2392, 2124, 4864, 1553, 9596, 1554, 156, 7943, 6009, 549, 6087, 417, 437, 3373, 2148, 8400, 5694, 2666, 2726, 4673, 8616, 7330, 6476, 4276, 8795, 189, 1710, 4252, 1954, 5555, 236, 7510, 6596, 3148, 8957, 4179, 3379, 3674, 4174, 5262, 421, 7919, 9624, 9089, 2879, 9302, 3681, 3367, 5658, 4131, 1078, 5184, 2562, 9482, 9861, 6682, 9519, 8540, 4218, 4660, 4736, 7163, 3063, 8198, 8232, 5780, 9972, 1915, 4132, 2058, 9961, 9231, 6140, 6470, 4780, 6823, 7204, 22, 3284, 607, 2085, 6965, 4444, 2862, 6868, 813, 7102, 4935, 9103, 5823, 5526, 3829, 35, 3461, 4037, 6371, 5821, 952, 7293, 1251, 4452, 7369, 332, 9565, 4164, 9094, 4567, 8058, 3669, 2523, 6154, 3423, 8247, 6097, 7805, 2608, 7081, 8561, 3989, 4751, 3162, 241, 8043, 6922, 7724, 5161, 1144, 9870, 9641, 7461, 954, 573, 4831, 8470, 1904, 7702, 6189, 8286, 1364, 1180, 4095, 1973, 5817, 7003, 5775, 7253, 860, 7263, 4994, 750, 9011, 8554, 2650, 3271, 5967, 7302, 6774, 1102, 5273, 9278, 5972, 1781, 6113, 2878, 8743, 4531, 6459, 9994, 206, 1933, 603, 5869, 4870, 8339, 478, 5644, 6057, 6139, 8431, 6803, 4757, 4512, 2112, 2587, 359, 2278, 4303, 8663, 7568, 1063, 8267, 4266, 6000, 4507, 1018, 5871, 5137, 5395, 7793, 2972, 3154, 5340, 1265, 650, 5562, 8323, 8623, 9360, 4022, 9372, 7565, 3042, 8970, 3237, 2489, 7041, 8101, 7751, 204, 491, 512, 553, 8302, 9134, 9673, 7725, 3396, 2029, 2977, 5594, 4393, 8672, 2689, 5155, 6816, 6209, 3048, 8095, 8678, 2876, 5442, 7916, 673, 5830, 6924, 3540, 1308, 2744, 9967, 1207, 184, 1979, 796, 6762, 1594, 1458, 8973, 5350, 2734, 8438, 3017, 9225, 6239, 1197, 4342, 7244, 8736, 8859, 6639, 6732, 7162, 9486, 4259, 1407, 614, 1072, 7987, 463, 9843, 1387, 1898, 2710, 5057, 9369, 7174, 5825, 8269, 8227, 9236, 2948, 337, 4975, 4332, 2613, 2671, 1639, 8029, 3268, 827, 5472, 8926, 568, 8301, 208, 759, 4884, 3814, 4072, 5446, 839, 4101, 2, 2934, 4872, 4705, 4869, 9821, 4471, 3823, 5946, 521, 5736, 9836, 4026, 2563, 6712, 2602, 4827, 5931, 5309, 3781, 6894, 3106, 3614, 7950, 3264, 1751, 6309, 6294, 2810, 647, 3909, 9293, 306, 1938, 1817, 2074, 770, 4599, 2113, 8137, 4345, 2450, 5313, 3196, 5558, 1325, 8424, 4707, 510, 7681, 7639, 8759, 9658, 5638, 323, 6179, 856, 5135, 2194, 9003, 7604, 7046, 267, 4374, 8648, 6534, 4830, 6289, 8825, 753, 1039, 4285, 9577, 8471, 837, 7028, 2838, 9745, 1985, 5547, 9627, 3732, 580, 497, 544, 5752, 2099, 387, 3776, 5450, 8493, 7723, 3640, 4909, 7108, 1139, 3805, 9931, 5611, 9750, 9665, 6017, 9493, 2693, 6696, 7708, 3554, 4910, 2940, 8123, 7963, 4317, 7581, 7882, 6544, 4856, 2184, 4111, 343, 7381, 8600, 1410, 6284, 2655, 959, 8924, 3665, 4798, 6428, 7531, 5248, 3024, 5183, 3721, 6593, 4054, 900, 5495, 8808, 4733, 1889 ], [ 8576, 6915, 9945, 261, 1317, 9326, 6188, 761, 7492, 5625, 9849, 4126, 8581, 2210, 8978, 8515, 8865, 5848, 4429, 6757, 8120, 4978, 9815, 2807, 9505, 1411, 2057, 5599, 1014, 4441, 7815, 7414, 5145, 9312, 9742, 7215, 6169, 7863, 2070, 3376, 1997, 1775, 1863, 7089, 4710, 8816, 8389, 4819, 3338, 8542, 9583, 9801, 1339, 2232, 1659, 9342, 6616, 3697, 5255, 493, 2912, 5210, 8511, 1785, 9408, 973, 4258, 6434, 3990, 8371, 5581, 3301, 7868, 9788, 4365, 8741, 3500, 7140, 6205, 7979, 7515, 5430, 5106, 6777, 2932, 8910, 8255, 4053, 6149, 5676, 6963, 8676, 9142, 3072, 705, 5894, 6808, 7523, 6064, 7256, 7885, 9795, 6157, 9249, 9859, 7981, 5693, 3810, 8368, 9977, 9232, 3790, 8522, 2781, 4806, 7067, 1743, 8777, 6281, 7966, 1941, 6860, 7755, 4144, 9720, 4314, 5573, 9439, 2589, 8748, 1540, 5628, 8008, 9366, 2061, 4540, 1381, 5505, 8191, 3911, 5797, 9509, 3011, 6425, 6337, 1616, 390, 6929, 8364, 7085, 3466, 5903, 8701, 6683, 3055, 4960, 1766, 7393, 142, 59, 2845, 2048, 6438, 8196, 3725, 8969, 5911, 434, 9185, 4399, 6628, 2059, 4134, 4106, 1198, 2307, 8614, 6038, 9034, 4446, 8845, 7365, 5585, 6403, 5530, 3261, 4678, 1832, 6609, 185, 2423, 6111, 538, 5760, 8894, 4654, 7886, 2692, 3812, 7951, 5076, 7514, 9802, 8644, 7479, 7390, 989, 6606, 3281, 3328, 8900, 1508, 3221, 903, 7587, 1678, 215, 8837, 7498, 9844, 5986, 3959, 732, 3773, 9272, 4392, 6771, 8991, 5820, 8063, 7216, 834, 7478, 937, 6456, 3288, 5806, 7738, 9401, 4018, 4594, 9215, 482, 1360, 1521, 1498, 8293, 5641, 1880, 8757, 3881, 1179, 4260, 5938, 1688, 5503, 6126, 1595, 1421, 1073, 3152, 5297, 5063, 4048, 3840, 1618, 8312, 7113, 7903, 1234, 8014, 7036, 8899, 9384, 5698, 6304, 4233, 6537, 1835, 3028, 4556, 8105, 7876, 3771, 1637, 8202, 3228, 1877, 6650, 5052, 6208, 3191, 2516, 2121, 4040, 9314, 74, 9111, 919, 6697, 7246, 5176, 4382, 2939, 640, 8303, 3714, 4338, 8874, 3912, 2908, 9474, 2257, 5481, 2989, 7118, 2105, 525, 5893, 4901, 4004, 9077, 7417, 8280, 8234, 389, 7635, 1765, 150, 8182, 9670, 6761, 6604, 7458, 7612, 4440, 3422, 6439, 6669, 9301, 5375, 7949, 5064, 4281, 9069, 4396, 1680, 1542, 7333, 8366, 7377, 5969, 4749, 5855, 1622, 140, 3047, 5647, 5349, 6040, 7933, 7982, 5971, 601, 4876, 3744, 5322, 2170, 7457, 5545, 8108, 2382, 2374, 3447, 8306, 4728, 8667, 3094, 7144, 1099, 2311, 4625, 9353, 3409, 2635, 1655, 9208, 4324, 4565, 1845, 309, 5786, 4011, 5337, 7375, 5601, 3693, 7952, 2835, 3523, 8945, 5355, 3519, 5774, 8229, 8057, 2394, 9199, 50, 8699, 2465, 4810, 2092, 9656, 6335, 885, 6311, 7497, 6229, 9017, 3821, 228, 2288, 7130, 6586, 4554, 1669, 4142, 4108, 5740, 6665, 4793, 741, 9239, 7351, 3508, 5207, 4159, 6873, 8420, 3306, 1263, 5981, 8766, 842, 2929, 1113, 5719, 9840, 1015, 5809, 2020, 721, 477, 1081, 427, 3608, 8724, 2765, 210, 4063, 5756, 731, 2923, 7763, 3171, 6063, 9725, 2756, 9364, 5671, 5034, 613, 2125, 2486, 893, 2230, 1338, 7034, 715, 7154, 8236, 9035, 1066, 3945, 1855, 2081, 7488, 3493, 4148, 677, 862, 8675, 9464, 8135, 3767, 8365, 7125, 8728, 5665, 7123, 4500, 5361, 8426, 4272, 6973, 2552, 910, 9052, 8688, 2559, 8556, 8370, 7335, 3339, 8998, 2275, 9784, 2102, 28, 3058, 5234, 6215, 6364, 552, 9845, 5815, 9433, 851, 3280, 2040, 9884, 6547, 5722, 6612, 6145, 5980, 5487, 2569, 3662, 7133, 5662, 708, 6308, 7714, 775, 6610, 3109, 1756, 8447, 1266, 6123, 2747, 5811, 4114, 8846, 9776, 2430, 7209, 9572, 2420, 932, 3177, 5198, 1801, 7391, 9639, 1558, 7328, 1441, 3655, 9956, 7020, 4613, 690, 9759, 8568, 9789, 9270, 5804, 3835, 9571, 7061, 9076, 6700, 7590, 1565, 1949, 7842, 8920, 3495, 3222, 5441, 1006, 1464, 3588, 1605, 9705, 6021, 3074, 1233, 6454, 8311, 9589, 3688, 3692, 622, 3976, 3848, 1530, 6287, 2506, 263, 7384, 5661, 3780, 9447, 3386, 2891, 4497, 9647, 3752, 7006, 4518, 5913, 8896, 2136, 6943, 4622, 8580, 639, 2368, 4136, 376, 7316, 5197, 8669, 4691, 6501, 9355, 4669, 1767, 5556, 1255, 9751, 196, 679, 9381, 7703, 8661, 6001, 1253, 9072, 3843, 8383, 351, 8287, 6827, 4067, 546, 4572, 881, 4750, 3179, 1652, 6401, 3039, 9920, 5814, 151, 3734, 5589, 5185, 8149, 8902, 4425, 2279, 2174, 2445, 5905, 7114, 658, 6794, 2905, 3064, 3025, 9619, 5315, 8122, 9622, 7813, 1486, 1571, 1969, 5779, 5100, 9438, 304, 6041, 5801, 4988, 722, 3538, 6132, 9016, 590, 5637, 9437, 474, 253, 5904, 1740, 4797, 8019, 9023, 3330, 3958, 7115, 7693, 6016, 6163, 5612, 7694, 4370, 8735, 7984, 8670, 4395, 8292, 9645, 1103, 6042, 1173, 9002, 5605, 473, 9633, 3497, 1770, 2414, 9399, 7005, 8631, 844, 595, 5645, 460, 8636, 4539, 8952, 2208, 5603, 7937, 9186, 7856, 6027, 858, 6392, 5088, 6258, 4389, 9620, 6859, 4959, 9855, 4207, 3765, 3333, 3218, 5496, 3755, 5468, 3290, 4656, 182, 6141, 1256, 2957, 6992, 5501, 3190, 4588, 2606, 4521, 6504, 6557, 5049, 7985, 3827, 572, 8164, 8523, 689, 5854, 4991, 7473, 843, 105, 561, 6023, 9880, 4523, 1791, 3928, 1217, 7688, 2785, 7790, 9558, 7564, 699, 2001, 2023, 6210, 4712, 9432, 3761, 9195, 9030, 325, 8933, 6249, 358, 327, 3184, 5819, 3948, 3158, 1336, 945, 4778, 7819, 2738, 2861, 9536, 2574, 4837, 1056, 6221, 4234, 2764, 2474, 9041, 7784, 5755, 4362, 7775, 7152, 8373, 4592, 6880, 7018, 6568, 5765, 201, 9255, 9168, 2122, 1929, 4629, 3890, 5357, 4405, 5291, 4250, 467, 9953, 6875, 3410, 3487, 9042, 8425, 6856, 4692, 62, 3245, 8128, 2321, 7187, 41, 777, 2049, 1878, 9209, 6350, 6634, 480, 2293, 1964, 5259, 5243, 789, 6886, 1940, 1, 9785, 454, 9722, 8730, 1744, 4215, 3404, 6183, 2697, 1292, 9924, 2370, 9462, 3772, 3944, 1430, 408, 6109, 8045, 5287, 4563, 995, 6254, 2000, 5568, 1176, 9488, 9631, 8756, 2075, 2289, 5865, 8091, 8637, 6194, 6490, 6274, 4877, 1875, 7491, 8289, 5216, 1632, 9779, 1298, 9696, 2016, 3590, 4822, 7402, 5560, 9541, 577, 1224, 154, 4383, 7748, 5832, 7466, 9037, 8592, 8143, 9158, 8682, 714, 6522, 4557, 2017, 2402, 3195, 3216, 5099, 6934, 5900, 3399, 7909, 8049, 4227, 1357, 3952, 9930, 7401, 8077, 6442, 6563, 3150, 7616, 2224, 6560, 6885, 4318, 8771, 2346, 3564, 9476, 5689, 7837, 3435, 931, 7039, 5431, 8588, 8171, 7106, 5918, 4087, 7080, 9083, 8494, 3131, 7623, 8633, 4462, 8854, 9950, 2826, 5544, 403, 1067, 9245, 1314, 3799, 101, 5266, 7480, 4828, 9081, 2495, 9446, 3856, 9162, 382, 5597, 1739, 2850, 983, 8441, 5204, 1627, 8632, 303, 8559, 5108, 3086, 3531, 9603, 5621, 4294, 9285, 1504, 6516, 2680, 1648, 5572, 5285, 3408, 7718, 2332, 8113, 3189, 6185, 9414, 6432, 6861, 8931, 1992, 7889, 6676, 4526, 7350, 569, 8790, 7240, 4795, 6427, 5302, 9318, 7874, 5396, 3110, 7029, 6004, 5490, 4242, 2991, 1620, 330, 7456, 4420, 8046, 7503, 7630, 2144, 8789, 3511, 4655, 2498, 1533, 8127, 8982, 7175, 5954, 3101, 3319, 8156, 3960, 6286, 7713, 7801, 3240, 5094, 4990, 9512, 1529, 8709, 2277, 3453, 6178, 7273, 1723, 3465, 9655, 5107, 9265, 6910, 7132, 2079, 8635, 6119, 3071, 5595, 791, 1318, 733, 6850, 9291, 4032, 5668, 8521, 13, 7500, 1853, 5837, 5112, 7614, 2036, 8753, 5095, 2816, 377, 2833, 1445, 6291, 7172, 20, 58, 5677, 3499, 9942, 2276, 3888, 418, 4601, 1706, 2045, 3738, 9897, 9325, 1170, 4139, 1331, 4533, 2658, 4110, 7857, 1784, 8465, 1189, 9143, 583, 8038, 1523, 3438, 4764, 9274, 6918, 1895, 9554, 9698, 7388, 5534, 4755, 4578, 9066, 9819, 494, 8955, 9650, 5143, 2452, 2141, 6088, 5374, 9174, 2364, 54, 1327, 7804, 9060, 6513, 6932, 8718, 2315, 4495, 3137, 1120, 6262, 3758, 4404, 4623, 4398, 94, 9343, 3163, 4968, 10, 5385, 1559, 817, 2391, 1188, 1371, 3624, 5329, 7425, 8075, 5604, 1438, 4455, 6053, 3385, 9339, 9640, 3304, 1737, 3402, 878, 3363, 5023, 3238, 7965, 3416, 9854, 52, 47, 7305, 9718, 3033, 112, 4906, 3469, 9899, 8516, 3654, 1382, 3919, 1577, 1452, 8782, 6887, 4771, 9734, 4513, 9371, 3119, 5996, 5233, 6721, 2996, 316, 8069, 1377, 1662, 7990, 6701, 2142, 1570, 7412, 6725, 7373, 2935, 8497, 4573, 1123, 2525, 3351, 555, 9959, 8416, 4767, 4805, 9829, 6810, 2631, 4690, 6355, 2222, 3983, 9796, 1513, 8439, 2060, 9178, 5878, 5881, 5365, 8739, 7088, 7211, 2003, 9623, 256, 6747, 9590, 3826, 8780, 5345, 3480, 4109, 1556, 7847, 1625, 8527, 1579, 8246, 2682, 8118, 3194, 9874, 3671, 1634, 6633, 7432, 1891, 1539, 9510, 116, 1503, 9316, 9370, 3354, 3510, 4835, 1475, 532, 6940, 5970, 694, 7824, 9280, 9375, 6693, 5520, 7622, 1046, 3432, 1862, 7232, 6941, 3467, 7918, 6903, 2582, 1774, 926, 5366, 386, 8260, 9905, 8214, 520, 882, 371, 3030, 981, 5037, 5321, 60, 1129, 3868, 7143, 6831, 4701, 1168, 4794, 4681, 3882, 1936, 9846, 5440, 8742, 1254, 2169, 5569, 6720, 6316, 8878, 2623, 8264, 2592, 7539, 8657, 4213, 8703, 8456, 5206, 8918, 7339, 8468, 2664, 6729, 7128, 333, 2653, 2702, 45, 157, 5116, 2958, 8503, 6763, 4419, 4845, 2974, 361, 7648, 9616, 3004, 6841, 1768, 4463, 8927, 1730, 4197, 2234, 5250, 6204, 6520, 6196, 1225, 794, 9511, 2193, 6471, 7370, 3486, 3283, 7736, 401, 495, 8325, 2066, 3121, 1566, 5404, 8253, 8525, 6605, 5868, 8823, 471, 7572, 5699, 6957, 1692, 8362, 1944, 5828, 1431, 3140, 4890, 5151, 2992, 317, 6748, 2359, 886, 3276, 1490, 5498, 548, 2775, 4330, 1537, 9110, 7093, 9669, 3052, 4670, 5958, 3517, 6203, 1805, 5466, 8852, 7194, 6180, 4722, 730, 4821, 7127, 9295, 4937, 1074, 938, 1131, 8114, 7017, 7624, 2216, 7399, 8305, 5877, 9095, 5789, 5482, 4091, 4385, 8545, 7788, 8461, 7944, 5757, 7042, 3818, 9873, 5008, 1745, 4885, 2956, 1101, 1499, 1437, 9516, 4231, 545, 4449, 8083, 5944, 6280, 3705, 4717, 2925, 8555, 43, 8524, 5859, 2782, 4851, 6718, 6960, 4325, 6345, 7674, 7742, 8903, 7599, 2073, 7957, 4188, 2723, 4284, 8881, 5515, 8396, 7720, 6578, 7538, 3135, 2475, 1905, 381, 4534, 3043, 5519, 1267, 6329, 9135, 6622, 4350, 1962, 3537, 6551, 9046, 9739, 5982, 7783, 7735, 7843, 5910, 6999, 1342, 506, 9012, 2466, 5399, 1324, 264, 5403, 9666, 1857, 9709, 1899, 4950, 8391, 3368, 4412, 1279, 8399, 678, 7477, 1612, 6967, 5013, 7761, 2924, 7233, 6273, 8384, 5068, 6538, 4331, 2889, 7405, 1141, 3192, 1199, 2590, 6502, 5563, 2504, 3374, 5870, 3841, 1104, 6235, 9269, 1779, 4273, 9212, 179, 899, 7803, 4630, 7575, 366, 5148, 1201, 1439, 8698, 8490, 2250, 5488, 9374, 1763, 8507, 8409, 6602, 8801, 8552, 3737, 188, 3555, 9204, 5307, 1403, 367, 3896, 6095, 6921, 6981, 3069, 4135, 77, 8080, 6510, 8131, 8044, 446, 6326, 3391, 8834, 4679, 7489, 252, 3997, 7269, 7973, 9879, 2273, 2241, 7747, 720, 8578, 3013, 1194, 2411, 5827, 2106, 6805, 3927, 2943, 9688, 7578, 4010, 5966, 2646, 6445, 9605, 1812, 3858, 5537, 5623, 8868, 1963, 1689, 7103, 5593, 3343, 5336, 8765, 7750, 6579, 1288, 8975, 6730, 911, 4277, 8252, 1202, 6898, 3322, 2853, 2114, 1236, 490, 9257, 9398, 9638, 8729, 7038, 3741, 6404, 8387, 9731, 1220, 3712, 1076, 2674, 1711, 3205, 2735, 8595, 6746, 3653, 4997, 9918, 7785, 6680, 7332, 1281, 4171, 6738, 4049, 5885, 5317, 6314, 1909, 1527, 7765, 8062, 6044, 2691, 3170, 3292, 5372, 3794, 363, 1524, 6699, 6613, 9196, 2884, 6514, 7119, 4041, 8016, 2042, 5024, 6791, 9200, 4100, 8536, 2715, 6581, 4098, 746, 7280, 6450, 8917, 3294, 5471, 1500, 3452, 2440, 9150, 6133, 1050, 5359, 6277, 5744, 9786, 5979, 3897, 5974, 7406, 9736, 475, 2745, 5453, 1578, 8, 8705, 2401, 9835, 6505, 3206, 4680, 3651, 3209, 2258, 6821, 9748, 7011, 302, 5898, 2831, 6441, 4113, 7852, 2485, 6492, 9005, 3488, 8518, 9373, 3123, 1560, 111, 7387, 1463, 4674, 698, 5858, 7632, 9755, 2221, 5782, 7977, 2985, 7726, 8549, 4118, 5803, 7529, 4373, 9612, 2218, 1472, 1222, 9183, 6698, 5213, 322, 2752, 9553, 6854, 4310, 3825, 9723, 379, 711, 3905, 3124, 8684, 8463, 131, 8573, 2524, 2398, 3118, 6389, 9294, 8061, 4801, 8051, 1274, 9036, 6788, 5114, 2843, 8429, 1184, 1261, 7258, 5816, 3035, 3296, 3854, 1502, 6906, 6908, 9758, 5093, 1585, 7380, 8532, 3115, 641, 6148, 6153, 8754, 4185, 4261, 2032, 1506, 7822, 7223, 6635, 3324, 5609, 3037, 8877, 8864, 7356, 4061, 164, 6706, 5754, 2759, 9338, 9229, 9171, 7481, 1698, 3694, 4057, 8499, 243, 6830, 2806, 4364, 7527, 6388, 1140, 4473, 7438, 8529, 8327, 5373, 4766, 7574, 7107, 1651, 7447, 7284, 7367, 2527, 7734, 4146, 1591, 5428, 3766, 6426, 9703, 8597, 357, 4748, 9146, 7070, 5125, 1826, 1713, 7051, 7179, 5669, 917, 7838, 4073, 5483, 2669, 3144, 9141, 8341, 2246, 8530, 2887, 8535, 374, 2801, 6497, 5163, 4875, 3880, 3437, 6199, 655, 7579, 8315, 977, 1690, 718, 1967, 7706, 6224, 8296, 4796, 6570, 6552, 7297, 5714, 5735, 5278, 8965, 9780, 9350, 8867, 5602, 9934, 9798, 567, 4486, 5244, 928, 949, 3269, 8692, 953, 9157, 9284, 636, 3417, 9996 ], [ 7075, 7627, 5737, 9697, 4326, 5470, 8257, 7100, 5688, 5636, 5883, 4940, 2024, 6134, 6107, 221, 7779, 7171, 3413, 3532, 5566, 1257, 4665, 3156, 9962, 1722, 822, 8351, 3542, 8207, 9233, 4052, 2857, 1702, 4633, 5128, 5985, 9628, 9876, 9468, 869, 100, 466, 1153, 6089, 3362, 865, 3454, 2419, 72, 8212, 265, 305, 615, 2859, 9642, 7972, 3181, 8168, 9227, 2319, 6233, 9993, 2145, 7279, 8649, 6341, 7642, 5306, 8195, 9308, 2434, 4198, 2197, 6668, 648, 479, 1986, 6509, 8972, 3819, 751, 8333, 6931, 2272, 9062, 5412, 6970, 5726, 9298, 821, 5271, 8138, 3849, 7266, 2983, 8173, 6457, 5583, 5683, 455, 341, 3387, 7915, 8793, 9677, 2472, 8807, 709, 1934, 9357, 6264, 1397, 4747, 6452, 8498, 5935, 4609, 4224, 6479, 4536, 3762, 6984, 4576, 1804, 3877, 4898, 9155, 2659, 5614, 5890, 5909, 7243, 2131, 4532, 4867, 6344, 9090, 1748, 4461, 6947, 7910, 9226, 181, 1883, 2171, 9563, 3007, 1514, 2292, 82, 8011, 9193, 6661, 32, 4293, 4309, 2999, 7161, 6817, 139, 2357, 8731, 1230, 4453, 2335, 4299, 5514, 1378, 99, 1910, 8047, 3312, 1623, 8800, 159, 3014, 3219, 1162, 7939, 7010, 6818, 2565, 5458, 1546, 2518, 288, 3635, 5435, 4921, 8489, 8162, 9172, 3707, 2302, 9009, 6653, 4090, 1795, 6416, 2916, 3122, 2356, 3914, 240, 4873, 1617, 9927, 7535, 4967, 1332, 2004, 1547, 3769, 4434, 4194, 5718, 6862, 365, 3125, 6100, 5995, 6112, 7494, 6776, 3668, 8169, 963, 847, 17, 9738, 4035, 565, 9648, 1268, 2358, 4278, 2919, 2274, 9365, 5920, 6147, 5742, 8160, 8804, 853, 2180, 8646, 2069, 3571, 4942, 1146, 7444, 9309, 2573, 9267, 1777, 891, 2245, 1376, 8987, 6979, 6798, 1726, 8116, 7816, 788, 6172, 2711, 5005, 9567, 5426, 4155, 7862, 8990, 4481, 2581, 9799, 6245, 8121, 8360, 8332, 249, 429, 2645, 8159, 8412, 2388, 4485, 8696, 9054, 9337, 1482, 2046, 3059, 1395, 8017, 7607, 9938, 507, 5992, 9097, 6015, 9431, 8460, 83, 3753, 9865, 9538, 1755, 3031, 2577, 7721, 990, 5360, 192, 3932, 2447, 8134, 2317, 3943, 3092, 2965, 3381, 4671, 5236, 8791, 178, 5347, 277, 6078, 6559, 6549, 1576, 4102, 2903, 4161, 6779, 5856, 1250, 2509, 5691, 6390, 4140, 4686, 6845, 9559, 2788, 1271, 7329, 8270, 994, 6247, 4414, 8574, 2766, 5324, 4437, 1214, 7825, 5741, 6645, 1977, 4169, 1796, 8716, 5704, 219, 1694, 8478, 4137, 594, 3726, 271, 5616, 3869, 4957, 7170, 4083, 3718, 3617, 3986, 9878, 4296, 6468, 5507, 2298, 9479, 3199, 2478, 1210, 8092, 2096, 8495, 9907, 8386, 4582, 5029, 9128, 8814, 2557, 4202, 7905, 9334, 3478, 9228, 3593, 808, 5203, 5960, 3193, 6458, 9059, 155, 6164, 344, 2512, 484, 5957, 645, 8916, 6099, 681, 183, 6681, 9466, 795, 7743, 4, 1476, 3065, 1310, 3746, 5131, 3763, 9678, 6847, 8273, 2537, 3165, 3142, 9791, 7881, 9160, 9119, 9883, 6451, 6998, 785, 8082, 9917, 1619, 3610, 4483, 6555, 1330, 6930, 4494, 3393, 9307, 9248, 783, 4279, 8593, 2928, 4653, 4378, 8274, 445, 8480, 3097, 12, 4811, 1045, 806, 9503, 1881, 776, 9335, 8788, 6904, 1477, 2182, 5166, 6325, 3908, 7415, 1105, 5529, 871, 3260, 1259, 2220, 9331, 3866, 2160, 5189, 7677, 2313, 9578, 378, 523, 1771, 3172, 7727, 8914, 8531, 4818, 9706, 4482, 9027, 7769, 8855, 2237, 9811, 7060, 1720, 1609, 86, 5773, 610, 1932, 7206, 7396, 9762, 8512, 9327, 805, 6374, 3224, 4387, 7517, 2329, 536, 4538, 632, 8010, 8233, 2190, 874, 3673, 5429, 7261, 148, 4981, 7602, 129, 6802, 2724, 3751, 8190, 3105, 7429, 968, 3008, 9430, 6328, 2381, 5380, 5123, 6843, 693, 3420, 3663, 1237, 4703, 2657, 7912, 3444, 4993, 350, 7758, 9903, 3749, 329, 2503, 3407, 1071, 7306, 8237, 6463, 191, 92, 4657, 2995, 9728, 2921, 6296, 6031, 9205, 2575, 1460, 7628, 6081, 9214, 9772, 5332, 5054, 9213, 6977, 6488, 2880, 5102, 8847, 2035, 6036, 831, 8098, 9259, 8037, 5788, 4637, 707, 4316, 7516, 6104, 1552, 1907, 644, 1157, 4834, 3383, 1761, 6506, 1425, 6846, 2824, 8089, 4544, 6085, 2418, 3659, 8167, 194, 3335, 7505, 5916, 7625, 4328, 7248, 8073, 950, 4099, 7940, 2865, 5461, 2183, 3563, 4882, 1465, 4097, 2730, 3918, 8558, 4442, 4922, 2774, 1657, 1455, 6334, 1088, 5613, 282, 8778, 8451, 4737, 7859, 7976, 638, 6391, 25, 8279, 6300, 5006, 5352, 7049, 4280, 9822, 5003, 4726, 9777, 5824, 2462, 587, 4624, 9729, 879, 940, 9443, 2301, 605, 3278, 560, 1384, 4738, 1368, 8888, 442, 7942, 6288, 1874, 4817, 8390, 1606, 7997, 2068, 6546, 4661, 3978, 6710, 4999, 6114, 8022, 4058, 3114, 275, 5001, 2282, 6527, 9388, 8443, 6310, 6944, 4143, 1806, 9992, 8469, 1396, 1385, 3088, 514, 2446, 504, 4438, 8971, 259, 2154, 762, 71, 9978, 8277, 9593, 51, 7151, 7796, 2155, 3056, 5256, 2345, 8803, 2126, 4612, 5991, 3567, 6871, 1451, 7012, 4713, 9129, 9824, 8827, 70, 5268, 3639, 6731, 8064, 6431, 8012, 617, 2767, 3226, 3464, 8550, 7296, 7323, 4302, 5533, 3505, 9075, 2054, 6897, 8488, 543, 1143, 8598, 4829, 3727, 6162, 9393, 6727, 5716, 3492, 8850, 5542, 4339, 2732, 5710, 7437, 6138, 6096, 489, 5802, 3136, 1340, 9289, 8858, 2842, 3316, 6339, 4708, 7655, 3377, 2814, 8271, 5226, 2743, 6170, 6354, 5224, 9694, 2242, 8949, 1075, 1429, 456, 6529, 7512, 9570, 868, 5932, 3700, 4075, 7729, 3541, 8090, 2047, 6891, 7789, 6243, 1873, 2013, 6396, 5685, 9180, 9535, 6307, 1272, 8261, 63, 7792, 659, 6346, 8749, 272, 8514, 9310, 4645, 229, 4301, 3310, 5436, 2139, 4714, 5464, 290, 9594, 2409, 2820, 1379, 4360, 6959, 2090, 1994, 9389, 46, 3926, 9485, 3300, 3068, 7109, 4190, 5246, 1631, 5356, 2104, 9825, 2372, 3557, 5475, 5201, 6211, 8248, 8583, 2043, 1677, 158, 5257, 2962, 7320, 7121, 4608, 8821, 7453, 9602, 4156, 128, 5521, 233, 6971, 884, 3305, 1674, 6690, 1734, 6417, 4832, 9170, 6384, 2507, 5829, 1436, 6792, 5152, 4676, 8085, 8533, 4644, 347, 3225, 6507, 4401, 574, 6583, 3232, 3913, 9800, 2439, 2707, 9047, 2158, 1750, 2330, 8464, 5851, 9727, 336, 7782, 1294, 8752, 4031, 6839, 8599, 7495, 1399, 4009, 8457, 9513, 4168, 631, 5845, 6599, 6623, 688, 84, 6726, 239, 8999, 170, 2360, 1782, 6240, 3831, 9300, 8393, 1406, 9241, 4593, 5235, 4774, 56, 1821, 7865, 6756, 3445, 3186, 6768, 3543, 4076, 3528, 9533, 9457, 6822, 6477, 1070, 6966, 4244, 1138, 4192, 7698, 6093, 6976, 769, 4117, 7615, 8566, 3568, 4306, 956, 1435, 1942, 9455, 469, 8381, 3703, 8199, 8086, 7685, 3350, 5175, 9040, 946, 5941, 9240, 7015, 3900, 7137, 3839, 8050, 7502, 95, 8930, 7404, 2920, 7131, 7759, 6594, 5492, 9549, 1132, 8475, 889, 2556, 8208, 2987, 1043, 6453, 9573, 9275, 5700, 2721, 5459, 5119, 4059, 9584, 599, 6394, 8744, 7513, 8350, 284, 1337, 5679, 915, 961, 7173, 1200, 9504, 295, 6800, 7326, 4510, 5652, 9853, 8474, 8231, 2748, 6704, 8822, 815, 1789, 7403, 5596, 9268, 6217, 9392, 2300, 1304, 7286, 2900, 8891, 7844, 9428, 5891, 1918, 8872, 2604, 6252, 3509, 2913, 499, 7906, 8956, 8204, 5422, 7960, 6047, 9156, 7540, 5004, 9328, 5787, 9984, 4893, 3321, 8656, 8727, 9540, 9523, 5580, 4775, 1520, 2037, 5097, 9532, 6263, 8941, 2264, 5762, 9450, 8679, 2688, 643, 642, 2780, 9121, 7936, 8551, 7382, 4638, 6347, 7476, 7890, 1707, 9144, 7893, 173, 2591, 7019, 1127, 9851, 1048, 5955, 4977, 2030, 232, 6523, 9418, 2694, 2400, 1753, 4388, 7774, 1350, 411, 5040, 364, 3380, 260, 5928, 9071, 4741, 9022, 254, 9827, 7288, 42, 7052, 5933, 7058, 987, 6953, 5460, 3355, 9494, 8481, 464, 7733, 7111, 9477, 6257, 8000, 6282, 7285, 1192, 6406, 3053, 5738, 6920, 4251, 7930, 4745, 3458, 1135, 2963, 338, 782, 4304, 3933, 4334, 106, 6614, 3935, 6814, 9517, 877, 875, 4093, 4354, 9473, 9721, 2436, 6212, 5117, 2129, 1130, 1600, 4754, 604, 6383, 991, 203, 3920, 9952, 6461, 2898, 6876, 5286, 2922, 212, 772, 2427, 2005, 2661, 4667, 8418, 9475, 7887, 3988, 2376, 2727, 1746, 9033, 3070, 9407, 2098, 5139, 9007, 9039, 3622, 6259, 7663, 6486, 3243, 7071, 7230, 8977, 6365, 2422, 1908, 7464, 8071, 830, 8290, 7586, 7891, 8723, 6673, 7536, 3107, 3618, 6090, 8263, 8192, 5552, 4454, 5031, 7318, 8385, 8628, 1916, 8869, 3962, 6962, 449, 657, 2789, 5090, 5418, 5886, 8922, 8414, 5615, 1163, 6193, 2892, 7124, 4372, 324, 1353, 8024, 7548, 1495, 9526, 3545, 3515, 145, 9496, 9202, 9413, 9108, 2899, 2137, 7250, 557, 4472, 612, 6692, 1851, 1738, 5041, 4636, 7854, 6631, 2395, 3550, 611, 7924, 7810, 8962, 2336, 1159, 8002, 3855, 7676, 7183, 2778, 6046, 2339, 8356, 8603, 4514, 1675, 1003, 3443, 5033, 8219, 2534, 433, 4970, 7877, 1041, 5075, 740, 2214, 3340, 439, 7158, 6433, 9480, 8065, 1859, 2809, 5506, 2290, 8967, 6987, 9783, 1788, 4591, 2953, 4408, 4078, 5462, 876, 3690, 6306, 406, 6421, 488, 6298, 5169, 9163, 6223, 3906, 3947, 2894, 4616, 1887, 8112, 1069, 214, 9329, 9968, 9651, 8410, 5907, 2728, 1843, 9216, 4055, 9749, 6122, 8344, 5025, 8052, 4243, 5420, 683, 3759, 2320, 3613, 8624, 1902, 602, 9055, 3853, 4626, 8317, 8843, 9133, 55, 5191, 8334, 7360, 9889, 1867, 2386, 3822, 3116, 9405, 2832, 1485, 1093, 2201, 3862, 5421, 7449, 1572, 3901, 6238, 2353, 4094, 680, 1991, 8376, 2009, 3248, 5952, 220, 2209, 7956, 1413, 496, 7989, 8908, 4291, 6531, 4628, 1607, 33, 5140, 4490, 8115, 8584, 4088, 6996, 9084, 9518, 5363, 1601, 6415, 6722, 756, 3038, 7097, 9923, 68, 4958, 4400, 8104, 9276, 1725, 3594, 5018, 9117, 1000, 6950, 9332, 9983, 2484, 143, 8417, 8268, 9550, 9527, 974, 3277, 8245, 8560, 8479, 5778, 4246, 3615, 8812, 8411, 7892, 1428, 7696, 8042, 8163, 3889, 6658, 8651, 3275, 4125, 6045, 1512, 5491, 7294, 4535, 9176, 5275, 3860, 2670, 3022, 7084, 4170, 2199, 115, 7546, 923, 2641, 6751, 9237, 4508, 4860, 6793, 78, 8459, 5016, 7955, 6186, 6526, 1087, 6572, 3375, 9415, 1975, 5118, 511, 8442, 7435, 5208, 1538, 5055, 1937, 6121, 3220, 6840, 5312, 4720, 6799, 4267, 8003, 7389, 864, 5193, 2008, 410, 5947, 2351, 975, 7301, 1544, 4060, 1593, 9712, 8873, 5884, 8652, 8357, 4634, 7086, 7475, 404, 7511, 1993, 5383, 986, 7409, 5443, 6896, 3516, 1100, 7798, 2817, 375, 5571, 3898, 8005, 598, 2712, 3872, 6376, 6115, 4528, 5215, 2779, 6440, 1042, 5939, 8094, 4696, 7995, 3168, 3675, 5657, 5310, 7126, 3585, 9429, 929, 9894, 1664, 5574, 5015, 8454, 2607, 6108, 2907, 4014, 2067, 6587, 6740, 3975, 687, 5554, 516, 2424, 724, 3103, 2111, 8772, 3647, 9692, 6098, 7964, 1557, 11, 5953, 2482, 4574, 1847, 6351, 7971, 6049, 3895, 3344, 4236, 8640, 1021, 4933, 1515, 1842, 7715, 2195, 2750, 1787, 7603, 7026, 5607, 5, 846, 3311, 6675, 4562, 8715, 4329, 3676, 4812, 6495, 6753, 7482, 1082, 2306, 6412, 9286, 6714, 1917, 9966, 6545, 4522, 8613, 7519, 5101, 9010, 3256, 9685, 320, 7618, 6900, 4723, 4020, 597, 4369, 832, 5577, 448, 2152, 8717, 7820, 2829, 9341, 8887, 4361, 5539, 6422, 1913, 6651, 6191, 666, 7841, 7035, 1684, 2127, 4739, 9138, 9716, 7988, 7938, 6003, 2027, 2108, 8895, 1901, 6360, 530, 6362, 2717, 2910, 1760, 1392, 3689, 8681, 2425, 3903, 2233, 934, 1171, 551, 1667, 5847, 4627, 457, 4176, 2597, 4643, 4407, 414, 6343, 4002, 1160, 7780, 7811, 971, 3830, 405, 3526, 443, 3808, 5565, 4752, 3670, 9537, 623, 763, 2975, 7719, 4487, 4903, 6851, 8839, 470, 3066, 4631, 8620, 7894, 258, 3242, 6184, 4158, 6667, 6152, 4474, 2162, 292, 4849, 7701, 9895, 2544, 1295, 5796, 1359, 1322, 8719, 5862, 3401, 2760, 3892, 3359, 190, 5792, 4639, 2373, 3530, 7343, 8907, 6624, 2443, 2713, 4763, 9765, 4735, 7212, 9313, 4422, 895, 3349, 8070, 7436, 8249, 2888, 2140, 1335, 5301, 7379, 9618, 9926, 4379, 3824, 9810, 1691, 6654, 3372, 3621, 5800, 3120, 1062, 160, 6503, 3775, 9252, 8372, 1470, 3318, 4051, 1193, 8811, 1109, 7421, 7354, 9260, 6576, 747, 5772, 312, 2267, 4406, 7411, 5936, 2497, 7073, 5513, 7927, 4498, 5522, 4096, 8242, 1299, 9809, 3360, 4839, 4418, 4912, 3715, 1517, 840, 2403, 8228, 5528, 6443, 6481, 5586, 3907, 8158, 8774, 9210, 9841, 9362, 5454, 7281, 6195, 7295, 2844, 8136, 6102, 9465, 2384, 8034, 581, 5570, 9675, 8335, 1813, 9451, 2720, 3783, 108, 3708, 3524, 250, 3258, 2412, 388, 7521, 9544, 7833, 1848, 2056, 2254, 4046, 1551, 6446, 8693, 8871, 289, 8974, 3936, 425, 8031, 2408, 7385, 998, 3924, 6597, 8161, 4154, 1128, 8979, 5899, 1935, 6670, 962, 5518, 6159, 9219, 1182, 3108, 4475, 9383, 9990, 3582, 1858, 2375, 3370, 845, 3138, 3455, 3403, 6357, 5173, 6591, 1025, 2740, 4524, 3525, 4443, 2251, 5227, 8272, 8423, 1258, 8197, 7344, 6715, 3756, 8700, 7556, 216, 4584, 9367, 5908, 5639, 8172, 1870, 4571, 8484, 1968, 1630, 629, 6649, 4824, 3592, 7164, 3019, 7291, 4015, 5876, 5842, 3255, 1284, 8453, 9070, 7700, 9175, 3096, 4320, 3598, 3419, 7959, 4116, 4352, 8004, 3601, 1094, 8836, 6834, 4550, 6500, 5500, 6974, 4843, 4335, 8660, 9599, 9006, 2383, 5945 ], [ 7249, 4082, 3954, 6214, 7530, 5092, 4948, 4640, 8548, 7228, 5245, 3084, 7186, 7355, 1729, 1534, 9969, 4427, 5549, 3239, 8345, 1903, 2397, 395, 1126, 7711, 4652, 1305, 9008, 3667, 9092, 7490, 8848, 6877, 8186, 27, 7079, 8230, 7310, 8732, 5959, 980, 6820, 1569, 2677, 19, 7704, 6955, 8006, 4897, 3717, 8745, 5011, 6032, 1223, 8880, 3223, 701, 1471, 9566, 7884, 5674, 6525, 2259, 3631, 7448, 9948, 5325, 6226, 298, 8336, 3334, 294, 1323, 7055, 1002, 2072, 4725, 4177, 7740, 431, 6318, 1900, 2463, 9812, 9356, 9668, 3683, 6620, 4597, 1079, 8989, 848, 4413, 4119, 4619, 4245, 7934, 4357, 486, 9601, 5892, 4152, 591, 564, 1090, 609, 368, 1116, 5879, 5465, 3073, 4178, 2285, 2538, 712, 202, 2984, 2803, 6473, 8677, 3093, 7000, 6250, 9340, 786, 3706, 7518, 9863, 3879, 7368, 9753, 6026, 6548, 6919, 7533, 447, 2866, 4648, 8367, 6937, 2968, 8221, 7245, 2609, 4092, 2065, 3779, 7974, 5417, 4555, 7443, 3834, 7487, 4520, 8132, 7547, 1581, 5724, 2080, 4685, 5212, 1888, 2668, 9585, 6074, 3863, 3054, 283, 5915, 1038, 6978, 3061, 4772, 6678, 8407, 7277, 9262, 8654, 2684, 635, 9893, 2864, 2675, 1004, 9223, 2638, 1868, 205, 9145, 5924, 1432, 7770, 7392, 1555, 6048, 9766, 4439, 48, 4187, 5279, 147, 113, 541, 4662, 8226, 8321, 4850, 5709, 4205, 8625, 5280, 9643, 2355, 1980, 736, 2517, 1352, 6582, 2596, 3792, 2413, 2022, 5205, 9911, 2428, 7251, 8472, 2868, 3161, 5950, 7806, 3027, 2470, 824, 9949, 281, 146, 3327, 4112, 674, 8355, 2904, 4809, 7695, 6644, 3046, 1209, 1491, 4445, 6013, 7156, 4066, 8450, 6118, 6073, 6541, 7827, 342, 1467, 9247, 8380, 7024, 8820, 6621, 3090, 5469, 1203, 2028, 4409, 4254, 2703, 5081, 4007, 6025, 3317, 3309, 2404, 4264, 3213, 7083, 9324, 2385, 3586, 943, 5702, 5917, 4604, 9955, 6895, 4065, 2130, 186, 1118, 5888, 8585, 4186, 1019, 8579, 6702, 9179, 6410, 2331, 7050, 6256, 5251, 6352, 9695, 1590, 5438, 7361, 5940, 7225, 4417, 2676, 1469, 1393, 7229, 2539, 7117, 7047, 3231, 6356, 3015, 4484, 1302, 8960, 8448, 5141, 9935, 1896, 5069, 2662, 209, 8779, 7192, 7257, 585, 4595, 2305, 1820, 2566, 1660, 5026, 3346, 3160, 5509, 5546, 6752, 6069, 1656, 6167, 9105, 2617, 3371, 6857, 7110, 7756, 1348, 2867, 8125, 1800, 7864, 121, 8404, 4543, 2681, 7155, 2600, 7908, 4815, 8392, 8898, 7091, 3973, 3425, 9621, 5712, 600, 8436, 7314, 7617, 7105, 2625, 2348, 9149, 9263, 7691, 3995, 6742, 5660, 4816, 9079, 2071, 8449, 1057, 1260, 2798, 7282, 2477, 3625, 4581, 7812, 3270, 939, 3009, 9444, 6268, 6637, 9702, 922, 5044, 7331, 5664, 6039, 4149, 2309, 9915, 3083, 2007, 5308, 2848, 2103, 6949, 5328, 2522, 1700, 9099, 9116, 9064, 4891, 3677, 9038, 1830, 4430, 3176, 6787, 1643, 8526, 5333, 2930, 8185, 5564, 3961, 3111, 3874, 743, 2690, 3644, 7823, 1054, 3414, 3865, 6550, 6056, 5303, 6961, 4902, 7446, 2387, 8330, 2204, 967, 3390, 354, 6524, 1892, 8428, 773, 4447, 2754, 4992, 5390, 79, 2580, 6020, 1412, 5402, 5249, 621, 2931, 9148, 3244, 3994, 4496, 4133, 2200, 2284, 9118, 5153, 625, 2917, 660, 57, 8760, 6574, 4768, 2312, 2998, 391, 1064, 4019, 8440, 6603, 9804, 1454, 855, 5831, 669, 7336, 2444, 3394, 9557, 9320, 2253, 978, 3832, 1488, 8473, 2973, 4488, 2588, 1580, 8308, 9130, 1647, 9862, 5750, 8996, 4785, 1914, 4687, 2163, 9113, 1446, 4675, 9004, 8023, 3157, 3803, 7322, 2846, 1494, 9877, 4586, 3446, 8506, 2435, 4241, 5697, 841, 9562, 1541, 483, 3520, 755, 4848, 5606, 127, 4711, 5283, 9189, 7699, 5749, 7656, 4397, 1235, 7383, 2164, 2852, 4865, 3149, 1121, 5221, 935, 534, 310, 9463, 9933, 4744, 2087, 508, 8810, 500, 6430, 5014, 3533, 6429, 8216, 1427, 4862, 9971, 2325, 5791, 2053, 383, 6790, 8331, 3845, 9808, 4348, 7442, 3211, 6177, 5120, 1309, 7561, 4123, 3852, 7021, 9921, 5177, 8809, 7776, 9856, 2006, 3424, 2280, 3298, 3891, 7159, 87, 5912, 5474, 7185, 6556, 684, 706, 4700, 9419, 7647, 3045, 9, 1287, 8755, 4666, 407, 1316, 1293, 5254, 5486, 4808, 1922, 7831, 5937, 9867, 7851, 9787, 7325, 7207, 8712, 5348, 1528, 2982, 9820, 3146, 916, 1283, 3364, 734, 616, 9555, 4760, 6617, 592, 7932, 7033, 7101, 9901, 3087, 2553, 5987, 8738, 9161, 7692, 1759, 5686, 7935, 9495, 5846, 4961, 7626, 6012, 6061, 1733, 668, 8913, 6835, 3389, 7087, 4984, 444, 2834, 2380, 3169, 1673, 1022, 918, 3711, 2479, 2031, 3236, 5239, 5761, 5493, 2421, 4564, 823, 1518, 2044, 5923, 5274, 9850, 7559, 278, 4200, 5338, 4377, 3722, 2010, 1058, 2644, 230, 6051, 2849, 8509, 6469, 1773, 2296, 4477, 1489, 2491, 1827, 9771, 8337, 849, 3646, 412, 5190, 122, 9686, 8605, 3915, 2322, 2399, 8206, 7829, 7817, 6005, 9866, 1882, 8824, 5194, 2901, 2529, 793, 9191, 9735, 1810, 7321, 1345, 9277, 9467, 2213, 8948, 2453, 3596, 7260, 997, 4866, 6086, 262, 8835, 710, 7791, 4336, 9426, 4545, 4529, 7654, 3428, 7016, 8947, 965, 5017, 485, 7958, 3739, 5267, 2572, 3599, 3551, 8857, 6292, 5416, 6293, 136, 2287, 4195, 3021, 9445, 2134, 7860, 8921, 4814, 120, 8395, 6542, 2499, 476, 2547, 9890, 9078, 2954, 6881, 6475, 852, 6719, 2601, 187, 8904, 7319, 9693, 8343, 8612, 7592, 999, 4668, 3886, 519, 4480, 9123, 3337, 198, 8725, 9747, 9107, 3938, 1033, 8176, 4506, 4008, 589, 213, 3468, 9427, 9385, 6363, 2238, 739, 7378, 754, 3965, 3884, 6331, 4209, 8427, 5036, 6411, 5289, 3949, 5104, 2933, 3529, 8775, 6855, 3482, 9151, 6853, 7275, 9197, 400, 908, 7911, 5962, 4268, 522, 4024, 2191, 3985, 2249, 1181, 9499, 1059, 1034, 2811, 2490, 3710, 3132, 4931, 559, 1501, 2640, 8310, 2909, 415, 9767, 8841, 3939, 9781, 8374, 558, 6543, 1484, 4064, 1386, 9380, 4753, 4886, 8283, 6030, 9981, 8151, 2521, 1400, 682, 8664, 9560, 4930, 4969, 1509, 23, 6466, 4181, 6852, 7633, 554, 8295, 3656, 2051, 5479, 2622, 2286, 4762, 5874, 7141, 8770, 5030, 6060, 5956, 2303, 9719, 5241, 1884, 7037, 1354, 2341, 4965, 3894, 1778, 257, 7278, 4881, 9521, 3661, 8187, 3098, 3020, 6423, 6938, 4203, 6092, 6577, 8072, 1238, 279, 7948, 3513, 3764, 2457, 9181, 825, 7968, 7236, 8805, 2458, 7686, 8889, 5042, 4323, 1823, 4221, 4614, 8408, 3623, 8586, 6569, 3430, 4003, 5523, 1077, 8951, 8079, 118, 6571, 5707, 1347, 2952, 2510, 1206, 5126, 1012, 3512, 4321, 3246, 4953, 667, 503, 2055, 6687, 1408, 2431, 3204, 1417, 9152, 6554, 7522, 5592, 4167, 2229, 2568, 6082, 9965, 7846, 9999, 3641, 1300, 7551, 9349, 6373, 2513, 7697, 7840, 9976, 6804, 3774, 649, 863, 2132, 904, 461, 6695, 1148, 5999, 2172, 5711, 9203, 4307, 7324, 5393, 4071, 161, 7002, 6685, 8984, 5810, 426, 4069, 4642, 7009, 6951, 5543, 6176, 2240, 5781, 8553, 4947, 8607, 199, 6266, 9667, 4376, 9449, 6071, 5919, 6743, 1731, 8388, 167, 3475, 7474, 9773, 3713, 2804, 1145, 4746, 914, 540, 7926, 542, 2361, 3998, 3051, 7605, 7493, 6558, 1232, 1211, 8783, 4600, 3440, 1703, 1510, 6539, 5651, 1836, 4698, 7271, 2147, 8142, 3607, 2897, 2959, 5687, 1466, 8856, 2437, 2247, 9881, 9348, 9021, 6379, 8932, 1483, 870, 1561, 8589, 2993, 8519, 6340, 3398, 7304, 2528, 7866, 5056, 7408, 9900, 5046, 8100, 5767, 5181, 6022, 3559, 7374, 6068, 2177, 1276, 3846, 5975, 2542, 7650, 5739, 2018, 9250, 802, 4424, 4077, 9043, 2110, 1960, 801, 1599, 1035, 1516, 5840, 1083, 854, 472, 1095, 4047, 2269, 3638, 9646, 5209, 4825, 9774, 2783, 6662, 1418, 1449, 9115, 6242, 9045, 4346, 6844, 3955, 7169, 9242, 5067, 6342, 3957, 2215, 4790, 227, 4105, 4800, 3951, 8352, 2964, 3126, 8433, 1628, 9283, 3331, 3777, 3369, 5330, 5264, 9246, 2969, 5339, 5984, 2268, 4311, 2481, 1507, 6664, 2021, 3549, 9481, 1850, 9423, 7777, 6995, 2084, 9169, 6007, 6870, 1285, 7830, 5508, 4265, 7739, 9629, 4351, 1757, 7274, 9459, 2406, 5078, 7541, 4945, 9660, 4803, 537, 4347, 9112, 3632, 4147, 3971, 1890, 517, 4274, 7883, 6990, 1068, 2326, 9363, 9617, 7773, 193, 3000, 8906, 2294, 9109, 3867, 7591, 6120, 7683, 4214, 6201, 1869, 5199, 2227, 435, 6465, 1834, 664, 5540, 7752, 7772, 5237, 2926, 423, 7555, 9114, 8954, 6684, 8909, 7999, 4448, 9387, 5682, 3980, 1027, 8988, 6767, 5299, 8087, 6305, 4503, 3421, 8799, 2342, 3902, 2202, 7238, 1023, 7013, 2667, 8885, 9807, 5631, 8124, 9892, 8833, 4689, 7022, 5343, 988, 1405, 758, 2205, 2363, 7898, 1245, 4776, 7929, 8606, 9805, 6813, 9744, 8375, 5367, 4103, 2855, 3003, 671, 8243, 5551, 1365, 4525, 2771, 7008, 4954, 4971, 4381, 348, 7583, 2988, 6657, 2519, 8111, 4433, 1952, 7043, 2189, 2739, 9333, 1982, 2708, 742, 6338, 8861, 217, 4709, 4883, 4045, 2077, 5341, 5160, 8572, 2686, 3999, 1699, 3716, 7741, 4987, 4478, 4130, 5381, 1762, 4016, 6641, 1597, 7946, 8797, 2946, 6332, 9701, 2500, 5391, 1037, 3748, 3754, 7645, 8968, 4577, 2800, 6182, 9050, 627, 6142, 102, 3597, 6562, 5629, 3750, 9864, 9946, 7558, 2818, 1487, 5358, 888, 7595, 7762, 7528, 5346, 8422, 1374, 3214, 9764, 5485, 9941, 4515, 6926, 4756, 1349, 3603, 8139, 6785, 1080, 2551, 781, 618, 5043, 6232, 5561, 399, 1981, 8483, 3873, 3133, 6455, 8986, 2515, 4779, 7610, 7606, 7063, 307, 85, 1277, 7484, 2716, 8209, 3575, 8817, 9989, 5021, 9582, 4899, 6400, 2299, 1334, 8081, 7241, 93, 8466, 620, 8733, 3556, 6708, 67, 3627, 1999, 9592, 3081, 5408, 6165, 9379, 3361, 5456, 1575, 4292, 5406, 5085, 1366, 3456, 2063, 3357, 1398, 1479, 9869, 7554, 8781, 5747, 5895, 2460, 8567, 3501, 2741, 3798, 8203, 4617, 1244, 3931, 6321, 1758, 2813, 3937, 7870, 6072, 8093, 1704, 8340, 2942, 8485, 2795, 5000, 1708, 2805, 5998, 7722, 8322, 6626, 4220, 5494, 3400, 3200, 7526, 8638, 7157, 3691, 4896, 5156, 2468, 8851, 8935, 7413, 2966, 5725, 9190, 8285, 5728, 3572, 2033, 362, 3838, 8178, 5228, 2094, 6536, 4786, 6144, 9761, 6723, 7208, 6809, 2886, 5897, 8621, 1137, 7065, 3180, 8695, 2123, 3130, 663, 2883, 2041, 6889, 7689, 5157, 9140, 6033, 7032, 392, 3836, 492, 2203, 3956, 8626, 2338, 1584, 8039, 8911, 2508, 4384, 5397, 8258, 3254, 9502, 8838, 9424, 3439, 2626, 8326, 8021, 4874, 110, 3100, 1363, 8746, 3807, 8026, 9065, 7040, 7148, 2769, 177, 223, 3267, 6884, 982, 6160, 6825, 5963, 9659, 1313, 6755, 3002, 4193, 37, 53, 2002, 3289, 4402, 2459, 452, 4504, 7991, 2461, 5032, 8007, 7177, 1532, 8653, 2830, 6939, 6279, 3982, 3883, 9051, 9586, 8117, 1089, 571, 1837, 1995, 8609, 5861, 9395, 4802, 3139, 894, 6372, 6491, 169, 7352, 7646, 6711, 3474, 7176, 1792, 7048, 9634, 5113, 6387, 413, 430, 5734, 9885, 4823, 6745, 829, 5413, 5318, 9576, 4672, 6671, 1794, 5729, 3736, 4841, 8359, 2558, 6989, 6019, 6518, 7853, 5701, 2961, 2261, 3731, 3285, 8750, 539, 7066, 7508, 713, 6968, 2128, 556, 3579, 2260, 3876, 8668, 2787, 3595, 7506, 8015, 7030, 8893, 4560, 6035, 3308, 3723, 40, 2763, 1998, 6734, 7941, 3581, 2076, 5833, 1906, 268, 274, 8929, 8787, 7191, 2426, 166, 7666, 9122, 5624, 2107, 745, 5478, 4000, 5610, 2976, 4895, 3095, 8639, 2236, 670, 451, 4145, 9868, 6689, 7195, 1764, 8963, 6983, 4128, 8539, 9524, 8056, 4460, 7969, 8084, 7609, 1829, 1685, 3234, 5231, 8254, 4542, 2567, 7662, 5134, 5159, 5019, 8937, 6368, 2405, 9717, 2687, 4184, 6106, 3067, 270, 6265, 6315, 5136, 5706, 3742, 1614, 6625, 3534, 8361, 4036, 892, 5368, 3302, 2192, 3850, 8502, 8773, 8673, 2116, 8936, 7235, 9514, 345, 2643, 1666, 7945, 4493, 8297, 6647, 4704, 5295, 6231, 98, 979, 8241, 6255, 790, 4359, 8452, 311, 2636, 6741, 6749, 8378, 5394, 3441, 3313, 8853, 8647, 9684, 4915, 9330, 6135, 313, 5608, 1315, 3251, 6301, 957, 3740, 2915, 4635, 9683, 7638, 117, 4605, 9520, 1196, 6888, 3930, 4355, 608, 9290, 5793, 3433, 6838, 3273, 5252, 5082, 4929, 4163, 5087, 907, 6807, 6679, 5666, 9635, 2089, 6059, 8035, 1790, 6361, 819, 4963, 3686, 7463, 5158, 4012, 4086, 4308, 5455, 1186, 6382, 3768, 7797, 5630, 3202, 7268, 4235, 8740, 1663, 6993, 2442, 958, 7550, 409, 2815, 3649, 1226, 6994, 2441, 6075, 7299, 1166, 7534, 9664, 5649, 3782, 5504, 2586, 6010, 4333, 2052, 4842, 3940, 8369, 1351, 3964, 8958, 5334, 3429, 1156, 7657, 6659, 7920, 3295, 3680, 5200, 7441, 3522, 5497, 3979, 6772, 1031, 7902, 9376, 8145, 8266, 716, 8604, 8394, 2615, 7214, 8942, 1020, 9708, 3934, 9575, 8702, 7239, 7465, 3431, 5074, 3303, 2362, 4928, 9752, 7054, 5532, 757, 1861, 1241, 1543, 7879, 8318, 2496, 7289, 9704, 4229, 4731, 5713, 2501, 9500, 2618, 6782, 7728, 4857, 7469, 6407, 1626, 4363, 2166, 4621, 4327, 3600, 9609, 5138, 6460, 6397, 6737, 4682, 812, 9044, 4979, 7808, 6478, 5836, 8041, 5242, 9794, 5777, 9222, 1282, 8674, 5622, 6116, 1496, 4740, 8133, 5798, 4222, 3174, 4926, 3695, 8348, 6472, 1989, 9354, 8520, 3262, 1414, 7267, 1462, 1158, 9014, 8096, 836, 9975, 2352, 964, 4403, 9653, 9649, 6420, 1957, 4237, 1736, 9839, 1953, 7454, 6166, 8265, 5187 ], [ 4371, 7178, 7430, 4300, 3701, 9096, 3745, 2206, 7967, 8645, 5062, 1645, 2705, 3472, 9997, 1747, 4918, 4569, 1741, 9872, 4765, 1649, 6228, 5409, 955, 8722, 2314, 3809, 2393, 4951, 811, 7767, 880, 5576, 1036, 2858, 7764, 9763, 7834, 9124, 8027, 6592, 6018, 8630, 7353, 8500, 9891, 8582, 8282, 6789, 5730, 4127, 4611, 8299, 4201, 3483, 3570, 2839, 3293, 5061, 4972, 5319, 3436, 6936, 6901, 2731, 2768, 9600, 5196, 1582, 2120, 9857, 3503, 7459, 5392, 5850, 6319, 7287, 1811, 2464, 5149, 3198, 7634, 7821, 1008, 432, 5331, 8828, 5822, 4468, 3539, 8060, 1668, 1629, 3547, 1447, 5476, 5889, 5105, 8205, 6402, 529, 5211, 7897, 3481, 3658, 7025, 3993, 1972, 2456, 1611, 8905, 222, 6686, 5389, 582, 8798, 6413, 912, 5805, 4199, 296, 97, 4457, 1183, 4719, 5667, 3018, 7337, 6155, 3507, 4927, 3185, 7341, 947, 2629, 385, 3023, 1716, 3153, 8591, 5327, 637, 2168, 4913, 6759, 826, 8763, 7867, 3286, 8235, 3080, 5400, 9587, 3611, 1030, 2630, 8324, 3787, 5103, 8244, 8076, 5079, 1286, 5217, 909, 4759, 9073, 818, 7653, 1457, 5293, 9305, 1005, 873, 2576, 2502, 2540, 8590, 8179, 1872, 31, 6043, 951, 1742, 7303, 4030, 9478, 1106, 6561, 5948, 3128, 4781, 9087, 3392, 2729, 8217, 8342, 4238, 6353, 2064, 7970, 9637, 5961, 5510, 518, 8764, 9056, 6584, 7394, 5512, 2255, 6065, 3974, 1658, 944, 1919, 3521, 3314, 384, 4356, 6206, 9740, 5525, 1426, 7149, 4450, 7504, 1924, 8689, 3471, 6864, 3929, 672, 4172, 9937, 2679, 450, 9013, 7349, 2526, 9082, 3991, 4761, 5794, 2091, 2791, 1705, 1772, 2746, 4175, 7395, 8510, 481, 4974, 4153, 2243, 2827, 3811, 9192, 6815, 1727, 3484, 5690, 7315, 6464, 921, 8517, 8250, 2039, 3992, 6784, 7001, 8074, 7907, 3498, 8030, 2541, 4580, 7398, 6028, 9982, 2492, 728, 7731, 816, 6912, 8025, 8860, 8434, 5378, 2133, 9297, 6168, 3657, 3187, 6236, 9086, 8997, 8615, 8189, 1187, 787, 9279, 4858, 3342, 8961, 3365, 1453, 2719, 5733, 8892, 5298, 1587, 6174, 6916, 5072, 9919, 1608, 8329, 6320, 4466, 2797, 5968, 8194, 339, 7978, 2571, 6883, 7576, 906, 7993, 8300, 2599, 7754, 1394, 5977, 9707, 8048, 2324, 3645, 584, 6705, 3698, 1671, 4826, 8983, 5692, 5058, 8538, 5531, 2117, 9951, 9018, 8720, 9724, 1084, 6646, 1819, 1939, 8018, 9607, 6899, 3637, 1228, 593, 7861, 927, 7996, 7593, 7307, 1204, 1846, 1583, 8088, 7537, 5680, 4315, 752, 1051, 8534, 1344, 7899, 9957, 5553, 2714, 1535, 8569, 2770, 1172, 4734, 6648, 960, 3664, 1638, 665, 9264, 7057, 2651, 8107, 8319, 4729, 9166, 9391, 1229, 1061, 9534, 6381, 7462, 3265, 7347, 3201, 4337, 6600, 1456, 7896, 9211, 1714, 3489, 308, 4056, 2649, 6084, 3583, 7120, 5127, 771, 6067, 9292, 7272, 5759, 7135, 1373, 424, 3504, 726, 3434, 3426, 2034, 3864, 370, 4129, 4982, 8174, 1097, 9281, 4579, 5142, 9985, 5502, 9974, 2415, 9672, 8870, 2561, 4663, 487, 144, 4852, 8291, 9132, 8557, 5926, 352, 1478, 9904, 1174, 8053, 4995, 3502, 6276, 5896, 8278, 1297, 2365, 5304, 1362, 7222, 3650, 5214, 5115, 5419, 2873, 3678, 3922, 6385, 4465, 7596, 3462, 8686, 4878, 7053, 3619, 4868, 6598, 8099, 3648, 6519, 8119, 9848, 9361, 3215, 7270, 8671, 6735, 9770, 2875, 3544, 5695, 2173, 2476, 4191, 3630, 8405, 8617, 6024, 2761, 4880, 4789, 1871, 7947, 4632, 8980, 8349, 1650, 1013, 619, 8437, 6409, 646, 2624, 2986, 6366, 2212, 1497, 2449, 4788, 9832, 1252, 3842, 930, 9323, 5182, 9778, 3514, 125, 39, 2699, 905, 1185, 3633, 4649, 4288, 9484, 3032, 8294, 9218, 4006, 7426, 3950, 859, 5219, 7507, 7104, 7520, 5620, 4005, 4583, 5451, 7262, 1390, 4232, 7298, 5433, 6267, 9636, 692, 2594, 7358, 6744, 8602, 9604, 7619, 9261, 6588, 4270, 3967, 2749, 1459, 2796, 6946, 1205, 4558, 355, 1825, 7717, 1161, 2823, 1984, 9436, 3817, 703, 9661, 2793, 6956, 4469, 8849, 4104, 1065, 1783, 526, 8546, 9296, 4596, 4428, 4081, 9224, 1950, 7716, 4758, 576, 5517, 3307, 5444, 6008, 7986, 6146, 3757, 6327, 1926, 5524, 6640, 4189, 3299, 3684, 4070, 180, 1921, 5147, 6034, 5746, 2146, 550, 3885, 7062, 8721, 6652, 6050, 8218, 2560, 9188, 9574, 2825, 9421, 314, 7397, 225, 4247, 436, 4589, 1178, 725, 8288, 3813, 6213, 6161, 6237, 9847, 1661, 7096, 7485, 2181, 4367, 5575, 3463, 422, 6585, 7994, 5656, 2161, 1808, 9351, 5437, 6703, 8251, 7242, 2819, 7802, 3332, 5484, 1409, 6246, 3040, 6333, 7450, 9743, 3729, 4341, 3628, 2483, 7730, 2340, 3560, 2371, 9676, 5499, 630, 4641, 779, 7072, 6496, 7585, 7231, 5582, 1227, 9579, 7904, 3871, 3210, 6969, 9159, 9823, 3636, 1422, 5864, 1165, 2614, 5584, 234, 2235, 5247, 8307, 8458, 9049, 902, 207, 6832, 2550, 2784, 2757, 7095, 9434, 7201, 5771, 4651, 6656, 4602, 6607, 5230, 4501, 8155, 8211, 3857, 7424, 3666, 1052, 7637, 9838, 9813, 9782, 4552, 9887, 8794, 1434, 5795, 3147, 5098, 9581, 2135, 3323, 7357, 7661, 527, 6029, 7998, 1697, 372, 1040, 9691, 5427, 7346, 3491, 5997, 293, 6369, 7799, 9251, 2151, 9833, 1793, 9922, 9715, 3448, 6377, 4561, 6447, 9454, 7359, 4516, 6575, 172, 5425, 3091, 7255, 7598, 1925, 9498, 5678, 3282, 7873, 6002, 8784, 5990, 8601, 5743, 326, 9490, 5844, 9304, 9768, 8634, 993, 9106, 1864, 3793, 2455, 3804, 8013, 6764, 4996, 5790, 2086, 1928, 8284, 5276, 4263, 3602, 3325, 9980, 8147, 1032, 6128, 6349, 1970, 872, 4939, 5007, 6055, 3584, 226, 8406, 8144, 6103, 9842, 9902, 5311, 6295, 9888, 3167, 8883, 7139, 8009, 3576, 3878, 6079, 7931, 8863, 8492, 5672, 6765, 7848, 4312, 6399, 3941, 3801, 8786, 7671, 2101, 3806, 8708, 2211, 767, 1114, 4432, 7667, 5202, 5983, 7136, 3720, 2856, 8802, 7524, 6091, 8200, 4568, 321, 2808, 9998, 5633, 6627, 8943, 3643, 5232, 8476, 941, 735, 5277, 606, 7090, 7077, 5978, 9068, 2799, 2354, 7921, 6619, 2471, 7928, 8886, 5535, 5902, 5906, 6608, 7850, 1247, 9970, 3687, 5973, 8875, 7198, 3702, 4223, 7749, 5172, 1369, 8655, 4853, 7836, 3102, 5976, 8768, 7092, 3917, 9403, 1190, 6317, 5673, 8110, 792, 1142, 2895, 1621, 1195, 1361, 9525, 7217, 6137, 8106, 4225, 634, 9539, 245, 7872, 3527, 7252, 1343, 5634, 9472, 5220, 3164, 2821, 5229, 9400, 4001, 5111, 5364, 1473, 524, 2062, 7563, 6923, 9061, 8710, 896, 6882, 6580, 9352, 4530, 1150, 1047, 9625, 6105, 7621, 6709, 2328, 273, 4467, 9417, 6171, 8126, 9700, 4124, 1709, 5818, 4210, 5705, 9303, 1444, 5467, 8338, 398, 2217, 2632, 134, 9531, 7122, 4934, 9964, 3060, 5849, 4519, 5648, 7300, 3968, 9024, 6836, 5579, 2535, 8915, 4615, 1946, 5353, 3134, 3562, 2179, 6972, 6863, 3212, 4034, 5929, 5071, 4283, 4944, 8140, 2902, 7496, 4782, 9382, 7327, 8513, 1216, 6677, 1911, 6630, 2038, 7992, 8148, 2881, 0, 6528, 3089, 656, 5753, 7146, 8486, 6643, 3604, 8691, 5538, 6076, 8981, 1356, 4618, 5559, 803, 9595, 3057, 3626, 1951, 6769, 8059, 5887, 6499, 285, 2228, 3352, 6532, 6750, 5288, 1519, 8496, 6795, 8619, 3143, 3388, 7675, 4606, 2494, 4916, 2890, 7045, 8328, 9098, 1401, 8304, 4683, 5635, 838, 3569, 4262, 9730, 4732, 8421, 3953, 2520, 5922, 3476, 9258, 9737, 9442, 6156, 231, 4986, 3536, 4226, 5050, 4716, 4773, 7416, 2263, 9104, 4358, 9461, 9386, 9615, 7975, 5447, 3112, 6567, 8815, 1718, 2451, 9963, 1798, 2633, 3397, 513, 9452, 4570, 6533, 3747, 8629, 4470, 5222, 6945, 7145, 9826, 5748, 8298, 5091, 6227, 7589, 7871, 2673, 588, 4607, 2755, 651, 9492, 5265, 2327, 7760, 9987, 6058, 5548, 8239, 7311, 7309, 2656, 7597, 3791, 9944, 2291, 4706, 8925, 6080, 5619, 3802, 3494, 1816, 5965, 9916, 5164, 9137, 2950, 3573, 9644, 3609, 2951, 5022, 3548, 7669, 9552, 6127, 8840, 6954, 2115, 9769, 4847, 8347, 9470, 119, 4062, 6336, 7168, 2185, 373, 7659, 7134, 6474, 3241, 8222, 5122, 5186, 5124, 9164, 7182, 1927, 8419, 4547, 3173, 4911, 3341, 4211, 9085, 3485, 1822, 3182, 2366, 9453, 1219, 1947, 8650, 34, 9063, 4271, 5086, 126, 5002, 4914, 8761, 6202, 2685, 2678, 6200, 6991, 2944, 3320, 7410, 8430, 6272, 9860, 5060, 3490, 3620, 5745, 4833, 3963, 1562, 9958, 5080, 1604, 7746, 4431, 4435, 9167, 4165, 2389, 9420, 3847, 6672, 8033, 2776, 1262, 4943, 7400, 2672, 8067, 9091, 6285, 8262, 7338, 2914, 9048, 1433, 5070, 2911, 416, 1679, 6691, 7420, 696, 5927, 9184, 8040, 5059, 799, 8713, 1269, 1574, 7452, 9515, 3249, 9131, 8610, 2628, 6914, 2369, 8901, 1011, 9147, 9988, 654, 9817, 7205, 5720, 4855, 1665, 3178, 2433, 8316, 7600, 5434, 2874, 566, 360, 334, 4840, 2407, 9671, 8992, 7705, 2323, 7766, 6975, 3629, 8844, 8281, 7419, 3870, 9816, 5010, 171, 9187, 2701, 5873, 6512, 4029, 3685, 21, 8694, 820, 5083, 7004, 7501, 6893, 6890, 5272, 1522, 6494, 4366, 5167, 3861, 4297, 9001, 3553, 1686, 744, 4313, 5882, 4919, 3577, 5723, 1754, 6297, 8994, 9726, 7917, 168, 7832, 5344, 6988, 2165, 3816, 6716, 5342, 7895, 1988, 3250, 6, 7199, 1275, 2593, 3820, 2231, 2377, 515, 6797, 6858, 2416, 8401, 6829, 7129, 9914, 2619, 924, 765, 9939, 9986, 9025, 7014, 1728, 3075, 5020, 9611, 9741, 6359, 9254, 4742, 9547, 5351, 5721, 9080, 9026, 5578, 4287, 1644, 4319, 3546, 6837, 5901, 4804, 7116, 6618, 8223, 1448, 4464, 7472, 4027, 1112, 7189, 5132, 9288, 9954, 1511, 9610, 5269, 1423, 2945, 8950, 6824, 9871, 6766, 3566, 6489, 163, 8944, 8068, 2156, 1976, 6713, 2088, 3612, 3026, 6271, 2882, 5763, 4180, 996, 7451, 8575, 2167, 107, 1424, 7684, 4904, 7439, 5650, 4208, 2149, 1715, 4479, 3977, 6660, 2603, 4998, 7544, 1550, 9875, 835, 26, 3660, 8445, 9591, 2794, 3077, 7160, 6780, 4166, 1807, 2530, 7631, 985, 3366, 2634, 7794, 7219, 5362, 498, 6629, 8543, 5852, 6553, 6982, 3233, 1306, 6070, 4861, 4888, 7670, 1732, 9102, 3279, 4559, 8564, 2078, 4390, 2718, 913, 6638, 5218, 5284, 3406, 2333, 7954, 7259, 8313, 6655, 331, 6358, 133, 211, 1044, 4173, 5424, 1246, 1493, 7099, 90, 8938, 8130, 7334, 8505, 5489, 8940, 3696, 8213, 729, 5731, 9506, 7644, 766, 4907, 197, 2851, 2652, 4941, 9315, 1717, 6865, 8879, 4900, 1525, 2239, 5335, 1215, 73, 9746, 7658, 3041, 7800, 1242, 3050, 8734, 3010, 5812, 4257, 9422, 1695, 6508, 5410, 5077, 2297, 8097, 7221, 4436, 5770, 5994, 5305, 7342, 8354, 1320, 2595, 2219, 5843, 369, 898, 7839, 9194, 5784, 933, 1923, 7629, 7265, 5371, 2283, 4050, 9394, 132, 6786, 7142, 4230, 5130, 103, 4206, 1610, 3966, 7455, 124, 7560, 6207, 5863, 6484, 5473, 2555, 1974, 9287, 6535, 8220, 9306, 3405, 3969, 318, 7386, 8704, 4038, 3479, 4658, 7809, 6052, 9733, 248, 6964, 6601, 3477, 3786, 3257, 3785, 4548, 6302, 9253, 6925, 7364, 9657, 2545, 3082, 5860, 9282, 4989, 4715, 5587, 1416, 9936, 9608, 3336, 8256, 4353, 9029, 9760, 7570, 3449, 8577, 4889, 3459, 4013, 2938, 1701, 9710, 7914, 4777, 8953, 5807, 8762, 8831, 3291, 224, 578, 1312, 8658, 5449, 6927, 9378, 800, 8890, 7068, 6917, 7200, 4219, 8210, 2012, 6739, 4718, 3345, 1721, 1752, 2637, 2863, 4459, 768, 760, 153, 5766, 8504, 2367, 9580, 1098, 2700, 2877, 2186, 7112, 2980, 7678, 4770, 4905, 2493, 4021, 9626, 675, 7680, 5260, 6448, 1133, 5379, 9713, 8622, 7376, 2410, 4423, 4068, 8363, 7434, 9031, 9852, 3159, 5415, 5813, 4322, 6175, 9471, 5300, 1948, 6011, 1328, 9266, 774, 7423, 9139, 5048, 4275, 174, 4386, 6828, 6467, 7292, 4527, 162, 1420, 5872, 2546, 5165, 2097, 1125, 5480, 1278, 1492, 2733, 1930, 7925, 5258, 1240, 6143, 380, 3229, 5591, 3473, 3197, 9127, 6717 ], [ 7726, 8374, 4507, 979, 7938, 2729, 9214, 3373, 66, 7441, 6298, 7608, 3315, 395, 7318, 4777, 5298, 7533, 1148, 3782, 8683, 9634, 7968, 8366, 4700, 3548, 8636, 2842, 347, 480, 5719, 2650, 3908, 3180, 8217, 7594, 891, 6061, 9929, 2771, 4189, 195, 1952, 4602, 1185, 9151, 9607, 739, 1897, 5254, 265, 1149, 7804, 2738, 7217, 7885, 9032, 4204, 3814, 3450, 9853, 5835, 1009, 5435, 3040, 1034, 3836, 5417, 5175, 8851, 4751, 7745, 3442, 7007, 5588, 3214, 2263, 1813, 343, 7207, 3181, 1234, 3286, 3126, 3336, 9080, 1237, 7541, 3258, 471, 2418, 2907, 4660, 9786, 4036, 4454, 964, 2116, 9965, 6889, 5508, 1259, 1357, 180, 6607, 4301, 2589, 3887, 3030, 7636, 7590, 7001, 1087, 8261, 4480, 2638, 4428, 3863, 7151, 2256, 5799, 9455, 9010, 2987, 259, 2078, 8832, 5656, 1646, 2103, 2915, 3639, 7612, 9798, 1205, 6338, 5104, 7681, 6050, 1365, 6183, 8112, 2012, 154, 7054, 7087, 6878, 7979, 4456, 8234, 1925, 4192, 6840, 1684, 9681, 7554, 334, 5748, 5815, 3292, 3608, 12, 6415, 5840, 4526, 6352, 3162, 6439, 7234, 9464, 9382, 9785, 5782, 8999, 3574, 2423, 3049, 8422, 9071, 9662, 4432, 3985, 6899, 3587, 7857, 3242, 8925, 4059, 7916, 4739, 8606, 9631, 5124, 102, 6454, 2130, 1930, 1691, 261, 3382, 6208, 1695, 8256, 2619, 4737, 3496, 8039, 4944, 930, 3032, 6600, 6007, 7073, 9521, 5069, 4800, 3762, 762, 7044, 2584, 8872, 2583, 7484, 5487, 6477, 2491, 2011, 5585, 7430, 7786, 8104, 2424, 2383, 3021, 6604, 9584, 7970, 7074, 6624, 6776, 7202, 210, 8922, 3243, 155, 2595, 8500, 8444, 5171, 1541, 6269, 2678, 8408, 4733, 2532, 7289, 1725, 8267, 6357, 3876, 1250, 6894, 8251, 9823, 9580, 9978, 8132, 1797, 8016, 4357, 9306, 9621, 6451, 8438, 6662, 4367, 229, 4236, 8392, 2136, 4362, 4766, 750, 3175, 1994, 4406, 5932, 8685, 2336, 200, 5121, 7867, 3105, 9447, 7776, 1536, 712, 9244, 8585, 6077, 4288, 6221, 1870, 5859, 4274, 4196, 9849, 110, 6263, 1887, 2220, 8883, 485, 3309, 4125, 4849, 4973, 6930, 1660, 4747, 7624, 5721, 1140, 9453, 3947, 1136, 3576, 8861, 9276, 2866, 7334, 8493, 3380, 3182, 7292, 6197, 600, 6692, 230, 1106, 6434, 2058, 9397, 8665, 2976, 6580, 5944, 879, 6564, 8317, 5574, 6718, 3346, 9211, 9716, 3668, 9239, 3925, 3287, 2800, 3821, 1848, 4185, 1371, 6867, 5408, 2405, 7455, 857, 6066, 2754, 9198, 226, 2014, 6940, 1230, 5142, 2702, 4442, 7750, 2712, 3401, 9477, 9683, 429, 5474, 3892, 80, 2277, 9160, 1101, 5734, 5086, 7836, 4091, 8933, 421, 8367, 8501, 953, 2412, 4191, 9783, 8183, 1900, 4991, 1181, 1724, 5592, 5716, 691, 8518, 9608, 995, 39, 9672, 8244, 927, 8810, 8306, 9429, 1666, 7861, 8188, 3045, 5117, 6935, 8624, 9936, 6536, 2101, 3201, 4348, 4165, 2551, 2367, 789, 9267, 504, 7571, 3862, 7609, 5446, 564, 3962, 9465, 7383, 375, 7478, 7163, 8138, 4533, 3511, 4389, 5975, 6090, 7638, 2339, 7192, 8738, 36, 6774, 7532, 9897, 3489, 9862, 7791, 9277, 5663, 214, 968, 6014, 4037, 706, 2614, 49, 5978, 8977, 7364, 4740, 9203, 2461, 581, 5130, 2703, 351, 2465, 30, 7936, 2117, 3318, 8856, 8420, 9134, 7198, 1320, 5959, 4146, 9545, 5826, 1761, 3751, 2888, 7984, 1337, 1142, 7177, 4923, 7144, 6375, 9392, 6428, 1499, 1847, 8382, 2146, 7479, 8172, 300, 317, 9663, 3483, 2081, 6489, 1335, 5927, 6678, 5825, 5158, 8174, 1303, 1396, 6443, 5725, 4024, 6441, 6621, 7308, 989, 7118, 6331, 9523, 2856, 3256, 7284, 3451, 7432, 6737, 3454, 3212, 1550, 8247, 2846, 8981, 7615, 3461, 8212, 9155, 5309, 1889, 7597, 3900, 7354, 5263, 4736, 6715, 2969, 1226, 6319, 7133, 3964, 729, 1014, 7080, 8942, 4477, 5674, 8498, 2705, 7657, 6019, 1011, 344, 7108, 7015, 9483, 1498, 5909, 2733, 3711, 6716, 3194, 1376, 7384, 2910, 7142, 8052, 6513, 9864, 2219, 6121, 3048, 5001, 5433, 6261, 6162, 4373, 8378, 7893, 5910, 4517, 1364, 1689, 378, 9664, 3424, 6775, 9225, 298, 9893, 5066, 6067, 2591, 9688, 3501, 829, 2197, 2984, 9537, 7348, 5807, 9135, 4227, 6958, 9616, 7368, 6401, 4046, 3088, 222, 2769, 9503, 2880, 1350, 9954, 9996, 7743, 895, 903, 6758, 8804, 8269, 13, 4604, 8535, 5336, 5218, 8056, 6975, 280, 3666, 1203, 9830, 15, 5947, 9467, 4547, 6017, 1508, 6609, 2275, 8348, 580, 5593, 7826, 4743, 364, 6386, 5129, 3183, 4412, 1898, 1047, 515, 2499, 4407, 2926, 3993, 5672, 6389, 2781, 2948, 2044, 3419, 8043, 4231, 1367, 5960, 3785, 1744, 1970, 9768, 9881, 5160, 1489, 4289, 269, 7948, 1582, 8552, 2851, 2331, 9389, 6751, 9385, 2355, 3210, 7779, 9910, 204, 7973, 9176, 3269, 9508, 4575, 6825, 1272, 6557, 5203, 3677, 7848, 7039, 6660, 3153, 6483, 6268, 7676, 5607, 1711, 3595, 951, 6928, 5008, 5094, 628, 3114, 840, 9976, 3702, 5853, 3553, 5847, 4409, 3352, 5993, 9142, 8125, 282, 6403, 5375, 9324, 312, 5300, 3570, 6941, 4072, 452, 6, 7815, 6427, 9543, 3392, 3313, 5756, 1492, 5339, 4744, 6652, 7311, 4612, 100, 2212, 579, 5204, 4465, 5403, 1657, 5771, 3164, 2483, 1722, 2110, 5611, 8897, 8644, 999, 9052, 6226, 1253, 9301, 9037, 4622, 9069, 1894, 3312, 6798, 8126, 1171, 9121, 8386, 3326, 6801, 5850, 602, 4246, 5081, 9530, 3343, 6502, 4634, 9923, 9138, 413, 1415, 7092, 8675, 9935, 1685, 2446, 6321, 3628, 188, 5004, 9879, 2489, 8773, 5599, 1177, 6750, 6995, 7100, 1409, 5425, 1127, 6224, 5402, 1727, 8435, 1134, 6745, 4353, 6351, 5407, 3207, 9567, 4637, 6815, 4495, 1092, 8266, 9408, 2524, 7240, 7927, 3227, 5404, 3305, 5052, 6119, 6341, 1353, 741, 9311, 379, 327, 2643, 1128, 2711, 5328, 4282, 7390, 2541, 3902, 800, 5778, 3646, 984, 6983, 1867, 2237, 5617, 6887, 583, 5202, 2960, 1461, 873, 9592, 3098, 4764, 7577, 3928, 6766, 6811, 715, 5447, 1703, 7462, 7774, 8870, 3090, 1495, 9128, 2358, 2795, 3756, 7703, 9185, 8864, 2280, 5524, 5562, 8844, 1559, 9927, 234, 4405, 7619, 8881, 6058, 8462, 6406, 4878, 1330, 8608, 7997, 5964, 1649, 6986, 29, 3792, 3830, 8668, 4731, 1003, 8737, 3976, 6822, 3612, 5136, 5843, 3987, 8987, 3761, 3894, 9829, 4857, 4023, 5726, 6068, 1168, 6307, 9852, 2325, 8930, 6926, 5544, 578, 1100, 8159, 8316, 2964, 297, 457, 6812, 4414, 5216, 2054, 2952, 2354, 1332, 9230, 4297, 5689, 8936, 6574, 3749, 4112, 4237, 4523, 2731, 7322, 4798, 1416, 8911, 6837, 7288, 1083, 481, 171, 7259, 6397, 1063, 9892, 3179, 5731, 1831, 3532, 4625, 4365, 9007, 5509, 2993, 1401, 4990, 2884, 9379, 5667, 2814, 7730, 3293, 5277, 9556, 111, 6424, 8707, 8301, 277, 2513, 4241, 4082, 1524, 7934, 4263, 619, 6883, 3266, 1467, 4136, 4034, 9406, 7985, 7064, 8818, 44, 2526, 6773, 284, 7575, 8957, 2827, 6860, 6851, 2680, 8892, 5846, 844, 4311, 6230, 2989, 99, 4701, 6714, 4606, 8691, 1023, 6861, 3861, 4722, 74, 5695, 7933, 5217, 8570, 5527, 4874, 2397, 1428, 8865, 2687, 6146, 1315, 7876, 3111, 6839, 5456, 4571, 3755, 6209, 697, 5388, 6306, 3002, 7382, 9452, 6702, 5023, 8706, 842, 372, 3634, 193, 6366, 2128, 6517, 8951, 3374, 5151, 3939, 8793, 1553, 582, 9778, 3176, 185, 9179, 2809, 8991, 1472, 109, 6635, 9448, 1818, 5701, 8904, 2983, 1158, 1708, 646, 2570, 5176, 3154, 6990, 3998, 6491, 7453, 4461, 5245, 2414, 2745, 1462, 841, 6475, 4079, 4485, 322, 4834, 9561, 2598, 3801, 8347, 9559, 6869, 7547, 6285, 3810, 7646, 3655, 3776, 1422, 5683, 7235, 9604, 6295, 1899, 6199, 4256, 412, 8176, 1067, 3333, 3727, 9761, 9243, 9033, 6510, 8226, 2852, 2230, 7915, 5308, 1588, 4611, 1877, 722, 5100, 8488, 65, 76, 1465, 288, 7603, 8903, 4500, 7158, 6232, 3527, 1728, 4904, 426, 9772, 3524, 5453, 1331, 6057, 3539, 8876, 4718, 9356, 2324, 861, 325, 5987, 2574, 7067, 4382, 1323, 1297, 899, 9926, 345, 3146, 8342, 7340, 8031, 6967, 4445, 1736, 3332, 1182, 5776, 1178, 6037, 468, 5596, 4789, 2444, 6258, 5706, 4708, 2080, 8388, 908, 4106, 8389, 8417, 2320, 5450, 430, 8487, 4163, 9511, 1123, 9427, 9272, 3926, 7331, 3140, 5567, 1803, 253, 6687, 4158, 5792, 459, 869, 2072, 9246, 4355, 383, 2300, 1610, 680, 9506, 3044, 5698, 3519, 5083, 4850, 6923, 6101, 3310, 2075, 5135, 6476, 3356, 8647, 2528, 5961, 9962, 2965, 6805, 4911, 2868, 4137, 4164, 5343, 9632, 1845, 4043, 2616, 3845, 1979, 8362, 6292, 5538, 215, 6282, 5167, 8817, 4286, 3152, 7028, 6302, 6288, 258, 1854, 4976, 6096, 5288, 6581, 8654, 6971, 9044, 3234, 2844, 3584, 3696, 6134, 776, 2571, 3854, 6117, 2177, 5097, 3218, 1996, 5249, 2364, 1915, 851, 9873, 3455, 970, 8910, 4608, 3567, 605, 3573, 2168, 9850, 1953, 5589, 8560, 6789, 4967, 5559, 9980, 1512, 1095, 9094, 8135, 8568, 7510, 3796, 3992, 2063, 2185, 1830, 2718, 2653, 2421, 2158, 929, 5784, 6179, 1989, 7457, 1302, 6152, 6493, 2902, 9898, 8075, 3984, 4042, 2386, 8280, 7048, 8777, 9073, 113, 5002, 9489, 8421, 9939, 7302, 7326, 4966, 8557, 5310, 8718, 7122, 7908, 4045, 104, 2474, 8853, 4206, 9563, 4712, 8354, 7642, 2155, 9602, 8093, 1555, 2537, 8971, 255, 5397, 9918, 8581, 6358, 7762, 1540, 2143, 3625, 9309, 534, 2501, 4051, 3012, 2675, 4935, 2135, 822, 975, 4627, 9661, 8891, 3734, 2947, 354, 2455, 2270, 710, 1875, 223, 2476, 1576, 6048, 8402, 1378, 4786, 6781, 7408, 4819, 4781, 6022, 6448, 2949, 4466, 9726, 9233, 5789, 8439, 3383, 5401, 9015, 8931, 2836, 9268, 9482, 1312, 4096, 638, 2288, 366, 5670, 9093, 8191, 6785, 9141, 8760, 9286, 3415, 9560, 660, 1519, 8175, 4008, 4573, 524, 5841, 883, 5577, 9972, 302, 7266, 565, 1268, 9909, 9992, 217, 7732, 6980, 8400, 3972, 7467, 8474, 199, 3276, 5250, 5914, 8803, 4880, 5552, 2978, 7647, 2604, 3406, 313, 7784, 5711, 5382, 8701, 9676, 7419, 1470, 87, 2360, 4504, 2036, 7696, 981, 3470, 4772, 1659, 3516, 4188, 657, 7447, 7454, 8457, 788, 8580, 7232, 8057, 730, 1133, 3901, 4768, 6051, 5708, 9171, 271, 6838, 4854, 2886, 9652, 9312, 1645, 1445, 2251, 6124, 5876, 1776, 1444, 1841, 6490, 537, 7903, 9887, 6711, 2162, 3166, 567, 5387, 3736, 4358, 2953, 557, 9412, 8123, 9266, 7052, 8157, 3848, 1612, 7910, 7921, 2853, 1654, 4177, 4376, 5093, 3219, 9744, 6888, 5188, 220, 3172, 9060, 6312, 3688, 678, 8948, 8828, 6870, 4589, 8173, 5215, 2290, 1170, 606, 106, 1263, 5317, 8719, 6759, 3241, 3288, 3308, 4506, 7352, 8722, 3267, 5556, 4593, 7002, 1670, 3867, 7359, 2123, 7640, 2152, 178, 3847, 3468, 8944, 5294, 6099, 1285, 7416, 6514, 3857, 1661, 9249, 3613, 6849, 7229, 72, 9501, 3189, 5831, 2457, 5284, 3199, 8868, 823, 5372, 645, 6954, 9831, 8399, 9130, 2260, 5724, 8095, 7422, 274, 4379, 1068, 161, 7149, 2979, 8600, 2512, 3322, 6739, 2194, 3025, 9917, 9075, 1643, 3436, 1086, 6013, 7674, 8529, 2462, 6677, 2515, 5087, 6198, 8508, 3285, 5968, 5239, 3667, 484, 4032, 2901, 3052, 4782, 6214, 1668, 5629, 1763, 6577, 5230, 2088, 1162, 1988, 6239, 1432, 1679, 1523, 5398, 4654, 6959, 6132, 2634, 8002, 8839, 3849, 7782, 3617, 5757, 812, 8442, 9802, 9293, 5483, 5682, 4179, 9710, 816, 5922, 3174, 9057, 8567, 4948, 6939, 8028, 4426, 2308, 5808, 1918, 4029, 6828, 5210, 2819, 9904, 225, 3408, 2775, 3295, 389, 7058, 4387, 9159, 1806, 765, 9665, 6021, 6535, 2823, 4949, 5221, 7090, 9326, 4266, 3156, 9194, 115, 8352, 570, 2887, 7820, 5098, 2996, 7937, 9413, 4577, 1891, 3395, 4677, 2249, 6107, 5291, 1306, 577, 5493, 5293, 4021, 3872, 5996, 3486, 287, 2109, 7448, 9583, 4922, 9154, 7396, 5060, 124, 3811, 4341, 4570, 4629, 3870, 6633, 6151, 703, 9609, 8398, 9668, 5855, 4927, 9913, 5848, 8631, 4074, 2860, 1132, 1072, 9280, 7641, 8437, 1449, 335, 8704, 5259, 2447, 3062, 1480, 8745, 8808, 9321, 877, 5898, 3465, 5159, 2923, 1058, 892, 2181, 3274, 6786, 2716, 721, 621, 6122, 5940, 9488, 9717, 2027, 3834, 159, 9443, 2562, 6016, 8300, 7999, 1937, 16, 3884, 7660, 394, 5926, 8295, 6651, 9383, 9043, 4704, 2808, 3407, 5766, 1755, 9777, 7669, 5180, 6592, 5891, 2032, 2248, 3217, 887, 5514, 8153, 5383, 7947, 2475, 4035, 8653, 3006, 9701, 9658, 2997, 6368, 2375, 6730, 5438, 5526, 6165, 4992, 9724, 8452, 2555, 8579, 2203, 4269, 1790, 1380, 1486, 6278, 1680, 2623, 1175, 3744, 7877, 1753, 5919, 4471, 9729, 9377, 7285, 8840, 8033, 2329, 1822, 4620, 5806, 3890, 4525, 7068, 3784, 2883, 6641, 6310, 1120, 5018, 4843, 1060, 9891, 8410, 7089, 4395, 6251, 3458, 6442, 1838, 2028, 1359, 8941, 7560, 5623, 5110, 2916, 5380, 6999, 2545, 6846, 1321, 4277, 7402, 6947, 4640, 6284, 2310, 3499, 5107, 5777, 2870, 6253, 9618, 1908, 5612, 8703, 6799, 7852, 6409, 490, 5414, 6619, 9937, 8788, 3197, 3713, 907, 8344, 1046, 3065, 9195, 1959, 6833, 7736, 4653, 4090, 5036, 8979, 400, 2895, 1773, 9552, 9240, 5123, 6171, 1720, 1564, 2460, 8254, 9771, 4865, 8919, 4770, 477, 9340, 7320, 254, 9328, 3899, 977, 5955, 3211, 690, 3764, 4776, 3050, 7682, 2867, 5739, 2359, 8769, 5005, 9857, 6961, 3735, 5561, 9920, 6713, 6968, 2159, 8521, 6135 ], [ 509, 5655, 3799, 9401, 5462, 9908, 9290, 587, 2799, 2312, 9600, 9822, 8262, 6691, 8771, 329, 9776, 4986, 8210, 466, 4760, 1852, 9633, 5768, 3075, 4331, 5440, 5605, 3252, 4208, 7711, 7941, 9826, 315, 398, 2633, 4264, 987, 3372, 4444, 6670, 3823, 2845, 5475, 3490, 7251, 991, 6854, 3347, 1277, 8353, 5506, 8230, 1793, 4296, 478, 1837, 7988, 3089, 1196, 1482, 5233, 6650, 2573, 4118, 1861, 9551, 6760, 9820, 6549, 1967, 4978, 2016, 3930, 8914, 7296, 6354, 3606, 5279, 7185, 8304, 3506, 7862, 8806, 4027, 1595, 3815, 5058, 5902, 2141, 4319, 3520, 7363, 1485, 7992, 8008, 1235, 7490, 5225, 4451, 3325, 9577, 442, 1240, 8189, 324, 9255, 7488, 4981, 9518, 6579, 9855, 6291, 5416, 9758, 8142, 6044, 1021, 675, 1464, 97, 6318, 4557, 5349, 6565, 5573, 1999, 8264, 9341, 8071, 1051, 8546, 3386, 2659, 2563, 2514, 714, 7627, 1825, 9709, 5525, 8671, 7996, 4939, 2529, 2535, 6847, 1045, 9810, 3989, 688, 1310, 3133, 7680, 98, 9675, 5051, 5880, 4175, 9934, 4918, 7551, 9350, 3817, 6672, 8564, 7278, 7702, 2243, 3622, 9740, 5311, 5969, 1579, 5489, 5043, 2704, 3439, 5614, 3338, 465, 6988, 4795, 5893, 4631, 3806, 6462, 4092, 9289, 8098, 8265, 2394, 8001, 251, 3932, 4295, 5358, 633, 5186, 5904, 6644, 7665, 1542, 9809, 423, 1301, 3466, 3023, 8220, 3929, 4691, 9637, 9753, 1850, 6615, 2379, 3626, 9775, 9622, 7690, 2940, 4553, 8046, 1056, 1655, 289, 6005, 8326, 9916, 4099, 9656, 4775, 7881, 2043, 7376, 3583, 4103, 1511, 5149, 9210, 1326, 9705, 5326, 7313, 1448, 7093, 3074, 8177, 7822, 1215, 5518, 3128, 5393, 946, 6518, 2035, 4152, 4150, 286, 1094, 8428, 1648, 8906, 4903, 685, 4038, 2620, 2091, 561, 5572, 7159, 5601, 3029, 5624, 7487, 5632, 7564, 2466, 5144, 5703, 5845, 5563, 8116, 6131, 1026, 7883, 9735, 8063, 7808, 7119, 3819, 8364, 9264, 6884, 276, 2751, 3954, 8544, 6653, 7530, 4220, 170, 6970, 6238, 7482, 6800, 9889, 5467, 4303, 1338, 3710, 116, 3545, 9281, 6142, 4436, 642, 6011, 5722, 599, 9378, 2094, 7932, 1316, 4845, 2982, 5261, 5937, 60, 1593, 528, 1957, 4938, 7922, 5712, 9002, 42, 447, 1257, 5207, 1892, 7010, 9405, 3245, 6500, 4705, 1129, 2679, 3982, 563, 2298, 5091, 1294, 3320, 1494, 1834, 9361, 3485, 4143, 7760, 2615, 3064, 6234, 5649, 1816, 7262, 7629, 3351, 7558, 9764, 7593, 8333, 1269, 7350, 3575, 5878, 9310, 2569, 5758, 9816, 1377, 1556, 1049, 3103, 4290, 8584, 2095, 7084, 4057, 6567, 4674, 6189, 3983, 7428, 616, 7166, 9997, 357, 4123, 4068, 7794, 8586, 6394, 17, 7136, 1146, 433, 4262, 1207, 4404, 9363, 263, 9565, 9875, 1598, 9832, 6024, 3620, 6596, 7036, 4476, 7032, 2534, 7211, 6864, 3375, 5901, 1130, 8141, 5257, 5548, 6892, 811, 5314, 7236, 8365, 2684, 7180, 431, 4403, 8473, 1873, 5297, 5185, 9282, 6308, 2957, 9253, 4055, 2316, 8592, 272, 8548, 4791, 6748, 2407, 3690, 4515, 9660, 2674, 7255, 7894, 2863, 4758, 6461, 8322, 7543, 2099, 5025, 653, 6423, 8809, 3922, 3086, 3952, 2663, 5529, 3828, 2994, 3225, 3112, 8129, 2666, 8441, 385, 454, 1189, 2839, 1383, 2509, 7632, 7557, 1493, 5031, 1000, 7071, 9737, 5282, 8639, 8673, 4209, 3865, 4810, 9229, 1238, 4323, 4329, 4054, 2309, 339, 6437, 2087, 7360, 6649, 8787, 3173, 237, 1066, 3919, 1622, 8146, 6337, 1632, 10, 4415, 3757, 693, 8020, 617, 9078, 1902, 6110, 5569, 4328, 5638, 3206, 9791, 9298, 7347, 3973, 4885, 6817, 8983, 6924, 8965, 1038, 4337, 4113, 8995, 3835, 6974, 7854, 1919, 5056, 6496, 988, 6654, 6446, 9589, 7101, 1520, 5590, 6231, 2961, 2593, 1174, 7018, 6516, 4338, 1225, 1614, 6873, 2859, 2104, 8179, 4335, 4101, 5103, 7329, 7239, 9025, 6539, 9988, 8554, 9139, 4982, 7088, 380, 8871, 1859, 6440, 8958, 5434, 3804, 4272, 1778, 7628, 8833, 1160, 7692, 6545, 1938, 4004, 1905, 8830, 8387, 6222, 6547, 4951, 6311, 4350, 4957, 5223, 9807, 1628, 5713, 2922, 3379, 1652, 9014, 1658, 1417, 756, 8250, 5923, 9975, 8087, 1478, 8224, 6520, 1869, 5035, 3474, 278, 7275, 9157, 7870, 2768, 9691, 6576, 7343, 3568, 3896, 5266, 8124, 418, 4041, 479, 9165, 445, 7512, 4130, 8222, 2144, 2172, 5877, 4916, 6573, 8882, 3590, 5470, 4544, 9086, 3619, 3794, 5635, 5255, 4581, 5092, 4997, 402, 3684, 7004, 3920, 2428, 4934, 4161, 1901, 7755, 4015, 2265, 2889, 5246, 4714, 5823, 4989, 241, 5804, 6327, 3754, 589, 705, 5244, 3927, 5463, 6666, 2879, 5699, 7351, 7562, 9812, 6388, 401, 4446, 4621, 5515, 709, 6314, 6898, 7953, 5727, 7483, 2686, 9133, 6753, 3264, 1217, 5762, 6981, 6720, 1287, 2252, 8589, 4895, 6845, 9907, 5801, 5957, 723, 7494, 5551, 475, 4310, 3431, 4047, 2059, 2488, 3066, 5443, 1116, 9756, 7955, 926, 4473, 9256, 1613, 7069, 6143, 9900, 4829, 4097, 4145, 8816, 7130, 4876, 4665, 9411, 9960, 5316, 8534, 7839, 1397, 8656, 4536, 7085, 4636, 6634, 3807, 3940, 2807, 5547, 7635, 7687, 4721, 934, 3205, 9932, 3024, 8312, 2785, 6356, 3909, 9190, 7616, 5718, 190, 2200, 8054, 4481, 6617, 4956, 9090, 4971, 9091, 1912, 8012, 1343, 9074, 7684, 4919, 3208, 7128, 6002, 6530, 5112, 3681, 6593, 4197, 8712, 4257, 1531, 7769, 7410, 2307, 3239, 727, 1983, 3596, 8436, 4464, 2029, 8596, 1032, 1261, 6092, 7458, 5692, 5812, 3167, 8467, 7740, 1855, 244, 9806, 2442, 5413, 4180, 8790, 2605, 5128, 9485, 9813, 2370, 9065, 1044, 7440, 1743, 7078, 1812, 5907, 2696, 4933, 4009, 3430, 1153, 2914, 9845, 2918, 4000, 3601, 7705, 2596, 7654, 8938, 7673, 766, 6532, 7077, 247, 2557, 3080, 9797, 5609, 2258, 3728, 6035, 7631, 7298, 1729, 1747, 2981, 973, 2469, 3505, 7450, 5344, 9107, 6416, 9275, 5738, 2699, 1860, 3517, 2317, 8241, 8651, 9082, 4860, 7394, 6683, 2556, 4141, 9991, 2018, 6601, 2972, 1611, 9042, 1719, 522, 5676, 6897, 4327, 6896, 7465, 1922, 2030, 7023, 8814, 3055, 9947, 2565, 9470, 7167, 701, 9201, 8838, 6280, 2582, 1570, 632, 2151, 5886, 1965, 187, 2903, 1274, 3228, 4771, 2188, 408, 1325, 4908, 6804, 4675, 546, 5234, 810, 901, 3731, 410, 4578, 8939, 4568, 5803, 2453, 9955, 4671, 4502, 3916, 3802, 2701, 340, 6163, 7900, 3772, 6139, 884, 3078, 7043, 2869, 668, 5061, 3388, 4950, 2749, 4595, 3321, 4804, 2927, 330, 7209, 9570, 4801, 7147, 2664, 9872, 7138, 1522, 5480, 7874, 9671, 4462, 3003, 9843, 172, 8490, 8381, 7598, 6583, 5640, 9707, 6186, 5817, 9828, 7413, 7550, 9712, 1697, 9028, 2958, 8003, 2813, 4194, 5824, 5621, 2365, 7228, 2849, 4907, 7178, 8866, 4586, 8558, 544, 980, 5651, 9386, 5095, 9597, 9205, 9610, 1756, 8961, 5030, 7975, 4061, 2224, 8517, 2082, 163, 4447, 9450, 5229, 7072, 5374, 2003, 774, 9896, 2432, 8680, 9678, 5980, 4317, 9422, 4832, 9072, 3663, 9387, 7492, 3748, 3467, 4848, 915, 9146, 749, 2891, 704, 1605, 3139, 7956, 455, 7220, 4778, 2935, 7652, 5421, 6018, 2830, 3594, 513, 1507, 7038, 689, 7887, 8895, 4858, 6595, 4087, 5028, 5228, 9144, 8681, 5705, 5134, 9581, 9814, 8614, 6890, 4724, 1626, 6083, 5168, 4342, 7501, 3324, 206, 1672, 5610, 6708, 9095, 4681, 9754, 6901, 7691, 7017, 2422, 387, 2985, 3498, 404, 8633, 1456, 3730, 3418, 3624, 2045, 4823, 4917, 5235, 719, 6628, 8820, 716, 5728, 8050, 8055, 8577, 9536, 9611, 2873, 9366, 2824, 5507, 7734, 8829, 6266, 736, 7600, 8705, 6594, 3447, 2107, 5415, 8532, 5535, 6590, 3965, 9051, 2561, 4779, 2552, 4632, 2413, 4538, 649, 7459, 535, 5690, 7271, 7307, 2389, 9643, 1716, 9428, 7527, 8774, 2301, 1766, 5925, 2804, 1370, 2876, 5539, 5752, 5522, 7715, 6052, 9381, 8047, 1820, 6399, 7127, 3449, 854, 7860, 7526, 947, 1750, 4738, 8778, 8196, 9279, 6074, 1700, 4063, 5353, 4312, 4787, 140, 9070, 3637, 3658, 2284, 4826, 6608, 8168, 1856, 7843, 1061, 8908, 2629, 6028, 2382, 2720, 1644, 7980, 8637, 2536, 4745, 702, 890, 8495, 783, 598, 6247, 8385, 232, 1298, 2507, 9531, 3284, 4490, 3933, 1615, 6761, 574, 8004, 370, 5268, 8887, 1300, 2174, 531, 4866, 9115, 5162, 5781, 9149, 3421, 7061, 6858, 5671, 3763, 738, 6173, 8454, 7273, 1206, 6790, 9866, 3831, 9842, 8934, 77, 1805, 5929, 1183, 1356, 4793, 3723, 1446, 5642, 8924, 3676, 4435, 9840, 7026, 1638, 9221, 7121, 2758, 2399, 6868, 7924, 2024, 2502, 3773, 1551, 936, 2299, 1131, 7139, 2579, 3665, 6646, 7920, 1518, 593, 2805, 3537, 5830, 9357, 3291, 3165, 6370, 8968, 3417, 8545, 1318, 1683, 1515, 5271, 2920, 3699, 5895, 6130, 2050, 8781, 1800, 147, 5212, 2975, 3955, 510, 9108, 4416, 815, 4066, 4162, 7757, 1944, 9374, 3856, 1460, 1664, 8893, 8950, 1955, 2494, 8383, 3334, 8073, 6055, 3944, 837, 7421, 4767, 7658, 2877, 9140, 8761, 6201, 6417, 8134, 548, 8359, 7582, 7191, 1229, 5586, 3092, 125, 9396, 7424, 6979, 1534, 8791, 1890, 3642, 5504, 4433, 4120, 1621, 2789, 5521, 8888, 6779, 6920, 7367, 8186, 8553, 6558, 4156, 9841, 1314, 971, 6578, 6217, 9720, 8543, 6020, 4545, 8243, 5811, 9476, 1169, 2147, 136, 4434, 2254, 6508, 1048, 3969, 1305, 1413, 1985, 4255, 6235, 1808, 5545, 1414, 9036, 2266, 160, 1278, 37, 4411, 7816, 368, 7030, 3057, 8258, 2244, 6391, 9491, 4440, 4863, 5227, 2403, 1319, 8792, 6287, 6782, 7842, 3999, 1514, 746, 7115, 4293, 150, 2668, 3638, 5419, 1399, 5631, 8299, 7911, 7196, 8992, 7756, 1490, 1037, 9723, 6509, 9779, 9500, 5476, 780, 2586, 5236, 4560, 1065, 2970, 5120, 8100, 3525, 9499, 7470, 3385, 9894, 8612, 6880, 2892, 9639, 7272, 1791, 2213, 7349, 7055, 369, 2051, 9463, 2092, 7199, 6965, 7800, 1606, 5199, 4110, 4891, 7878, 1783, 2900, 1, 550, 6145, 3644, 3941, 4383, 8762, 2334, 2635, 4947, 4402, 9332, 8140, 5587, 7148, 9402, 5616, 3512, 5820, 7389, 8206, 1382, 8201, 443, 7433, 205, 9959, 2040, 2670, 90, 1631, 3562, 7728, 3774, 7291, 7589, 1366, 777, 8205, 2779, 8582, 3936, 2019, 6206, 2825, 1483, 8011, 4218, 4972, 4796, 8955, 5582, 6511, 1842, 7380, 4239, 9308, 2833, 9930, 43, 9833, 6698, 5783, 9127, 6112, 3657, 3732, 4663, 1248, 7738, 6289, 3747, 9388, 3614, 2865, 1617, 6480, 976, 3656, 1071, 450, 2721, 7507, 530, 3540, 5890, 8061, 1328, 2580, 846, 3653, 6136, 8767, 3484, 2262, 7907, 5422, 3787, 9699, 9145, 8621, 5376, 9410, 7250, 168, 9302, 8190, 8328, 4005, 9247, 2083, 8284, 7375, 1629, 1589, 2085, 2111, 3423, 5867, 3301, 6413, 8283, 8401, 5034, 2806, 862, 4993, 9546, 83, 6166, 4270, 6741, 2930, 4963, 5430, 7370, 9811, 5305, 3077, 5900, 8137, 3726, 5312, 7704, 6765, 2090, 6919, 6205, 3132, 9528, 2350, 1733, 8533, 3943, 6012, 6046, 8541, 9751, 4955, 8097, 6871, 6346, 4198, 8763, 6767, 3015, 4307, 2467, 1262, 6001, 2328, 3213, 9638, 4585, 9181, 9886, 4271, 1539, 7969, 2897, 7570, 4961, 8513, 7040, 3529, 1447, 2215, 4448, 3268, 834, 2646, 6202, 9911, 4635, 7114, 7253, 8377, 3250, 2665, 3019, 7277, 3695, 8622, 747, 8208, 1236, 4438, 7153, 8358, 3660, 4298, 9212, 146, 6359, 5717, 405, 7807, 4542, 1141, 9053, 9475, 2858, 6365, 1768, 9766, 4186, 8795, 871, 7943, 3629, 4463, 6541, 5691, 9983, 3733, 6522, 4388, 6422, 201, 393, 7864, 5275, 2402, 5770, 8943, 7346, 7904, 9598, 9695, 3237, 3518, 9187, 941, 3330, 2838, 5740, 6425, 8318, 3547, 7041, 9498, 9403, 5331, 8130, 8169, 314, 9578, 5389, 7699, 6103, 438, 9647, 4138, 9749, 6657, 7925, 676, 4720, 4316, 4965, 211, 9098, 8314, 7509, 2427, 9317, 4915, 5106, 5054, 8867, 7838, 4326, 9184, 3094, 117, 7866, 3072, 7295, 2822, 9417, 5026, 5143, 8717, 6735, 769, 5872, 6951, 9636, 2439, 8334, 8937, 1971, 9627, 6497, 8627, 3647, 5744, 5956, 6108, 3161, 7977, 290, 2606, 5685, 8610, 7025, 1167, 3500, 6911, 6256, 5885, 8974, 1821, 2490, 7758, 3221, 3317, 826, 2599, 7651, 1840, 3473, 796, 517, 4861, 5941, 3459, 2559, 5749, 7400, 9213, 8676, 7476, 713, 4656, 5594, 4116, 9473, 3393, 183, 2376, 85, 3251, 7323, 5693, 2066, 5575, 9273, 6524, 7504, 3340, 6882, 681, 4253, 6187, 5219, 8643, 7152, 2182, 8139, 4205, 744, 3771, 3144, 9299, 1862, 3307, 7464, 355, 5109, 5930, 819, 8632, 1939, 8451, 6420, 6457, 2002, 1202, 850, 4510, 4429, 2837, 6905, 9022, 940, 6996, 4320, 9666, 7587, 3970, 4755, 3720, 4984, 6316, 8649, 6569, 3765, 14, 4530, 560, 1903, 6270, 2671, 4339, 4719, 7524, 4652, 3412, 4856, 4987, 6686, 6065, 2817, 6857, 575, 1843, 6075, 6216, 7436, 8899, 3487, 5505, 1242, 8163, 6584, 3923, 1247, 7772, 7204, 9131, 787, 9391, 8964, 1161, 2278, 8209, 8091, 3760, 6977, 8022, 2372, 8107, 8051, 5965, 86, 158, 2783, 1476, 5394, 7230, 5126, 4, 8431, 3091, 9307, 8752, 94, 5200, 4184, 2497, 7063, 7795, 9048, 8149, 948, 5854, 6322, 31, 2835, 1547, 7392, 3530, 4076, 311, 7688, 6616, 1165, 2393, 1977, 4443, 6900, 5754, 2304, 6325, 4154, 299, 8835, 3593, 1758, 9743, 9704, 6658, 2390, 8715, 6998, 8682, 2001, 824, 5491, 2925, 9796, 3104, 5688, 8249, 8874, 7792, 7971, 5046, 7300, 7686, 2991, 6155, 9835, 2096, 8070, 8989, 2153, 6400, 4569, 1935, 5165, 643, 6749 ], [ 5746, 7102, 508, 9596, 9582, 403, 2013, 9481, 7556, 8638, 8154, 6144, 7245, 2766, 9544, 2179, 6369, 9283, 607, 5424, 8734, 7897, 7727, 1678, 3706, 1981, 11, 1586, 2492, 139, 2661, 2697, 202, 8083, 3296, 9696, 7653, 5678, 1088, 8842, 2740, 641, 7131, 7521, 9669, 2612, 7752, 9863, 8193, 4879, 8716, 9795, 8659, 518, 4754, 6410, 3416, 1917, 2726, 8248, 1139, 9484, 2371, 7431, 407, 5482, 6079, 1739, 3917, 8723, 8727, 2463, 740, 4259, 5990, 8223, 1618, 1481, 8074, 7735, 2450, 173, 9338, 9162, 775, 7461, 9780, 698, 4368, 4562, 1746, 4332, 1427, 8932, 2651, 406, 3911, 2129, 8679, 4588, 8824, 8010, 9362, 1760, 6855, 7693, 8271, 7891, 3507, 8405, 3885, 6168, 9278, 1059, 9426, 4222, 3880, 5427, 9217, 5928, 6613, 4901, 5287, 1487, 6290, 8211, 3544, 3789, 9339, 7508, 7764, 3971, 3886, 8181, 8978, 3004, 3800, 1114, 3068, 6856, 966, 3319, 2950, 9409, 5102, 432, 1982, 9899, 9252, 8492, 5829, 1157, 9741, 1906, 422, 8147, 4614, 1811, 795, 3149, 6212, 221, 6964, 9124, 4219, 1774, 6250, 2750, 2211, 9487, 3906, 1796, 7713, 5264, 6281, 7871, 3399, 5457, 4816, 7701, 5431, 8916, 349, 2287, 553, 6834, 3915, 301, 5182, 6191, 8446, 1735, 8993, 240, 4912, 4498, 2187, 2184, 7939, 2500, 2818, 2122, 8355, 1033, 3858, 6705, 3354, 5154, 5451, 1987, 3967, 3113, 8296, 6948, 7197, 9414, 472, 4139, 764, 4844, 6969, 7332, 9901, 5029, 8634, 7406, 876, 4508, 6188, 1710, 417, 6286, 1458, 2108, 5068, 9587, 1709, 4910, 8966, 5549, 8857, 270, 3565, 3790, 323, 6309, 2919, 7333, 2649, 7709, 5938, 6823, 2603, 8218, 9514, 5571, 5276, 3509, 1117, 9250, 1055, 7817, 1833, 8006, 4492, 8472, 8425, 950, 9770, 1819, 257, 6955, 8086, 8263, 3718, 4867, 9172, 1252, 6324, 371, 9089, 6304, 1313, 4109, 6030, 8395, 8166, 864, 3253, 6669, 2796, 5908, 7716, 2113, 141, 3679, 3350, 7803, 8338, 9685, 1715, 4709, 8229, 8700, 7059, 1204, 1239, 8372, 9454, 3011, 3014, 7377, 1437, 9994, 799, 7190, 192, 2006, 4617, 763, 7206, 5628, 5062, 9620, 9571, 444, 3843, 2067, 6906, 2205, 6344, 9207, 671, 8587, 6492, 6637, 437, 1696, 2296, 2610, 7169, 5332, 7443, 9542, 1254, 3488, 2486, 3123, 8455, 2323, 9066, 9757, 9603, 8170, 9300, 6639, 6378, 4360, 9595, 4217, 1043, 8225, 6814, 5281, 3107, 7168, 2607, 1772, 8746, 659, 8363, 2401, 1934, 9860, 3283, 4223, 5152, 9055, 9191, 1349, 189, 1084, 9522, 9444, 4842, 9794, 2175, 5532, 469, 1108, 9752, 8952, 9529, 5911, 631, 1333, 3707, 3778, 6192, 9760, 9003, 8860, 5033, 7083, 9586, 9890, 4472, 2890, 6229, 2384, 2894, 8927, 7588, 6148, 4685, 1958, 5753, 3571, 1829, 843, 6265, 9067, 1656, 3344, 7677, 1354, 3053, 943, 1392, 3020, 6764, 3411, 9216, 1647, 9902, 687, 6042, 8975, 9030, 1602, 4803, 9018, 435, 4330, 7753, 5357, 724, 2575, 4902, 533, 7859, 4837, 9858, 9238, 4563, 3031, 1412, 2912, 9331, 8963, 7297, 5265, 3255, 5187, 1438, 8583, 2613, 5942, 8113, 5053, 6200, 3235, 7717, 4930, 4452, 4251, 9558, 5013, 5775, 4453, 9719, 5436, 1706, 8569, 5412, 728, 2794, 3195, 6820, 3875, 1213, 8040, 9202, 4610, 5554, 4391, 4678, 1864, 6722, 8313, 5580, 2214, 2656, 4075, 8065, 6349, 9566, 6740, 4025, 8619, 4921, 1712, 1636, 4346, 9956, 6293, 7993, 5540, 6433, 8270, 1510, 9261, 2190, 7940, 79, 6363, 9059, 1245, 8797, 388, 2770, 9952, 5844, 7805, 8646, 9553, 2377, 7344, 8024, 1788, 7473, 7549, 3812, 6505, 7505, 1156, 6078, 2932, 7366, 1815, 8151, 3190, 1718, 8041, 836, 7249, 2791, 3136, 2235, 9227, 9119, 7242, 9590, 5272, 6542, 9219, 5745, 5747, 8505, 9019, 7837, 3882, 2540, 2330, 7819, 8530, 8697, 2946, 3263, 835, 9520, 2550, 2264, 9380, 6215, 2195, 8694, 3203, 8477, 9585, 3100, 6008, 523, 6335, 4349, 6763, 770, 8768, 1650, 8531, 8576, 9102, 2527, 1839, 3277, 2387, 2568, 2342, 6519, 5256, 8042, 4193, 3402, 5626, 3958, 6904, 7246, 3230, 5868, 1199, 4808, 6255, 8453, 1201, 2872, 409, 3921, 2484, 8414, 1289, 9549, 415, 7607, 2700, 4561, 3145, 7787, 521, 167, 2790, 8785, 7952, 9773, 5981, 292, 7267, 830, 7146, 5496, 4084, 2931, 7286, 7578, 1907, 1532, 9263, 3370, 3750, 8059, 7525, 2622, 9020, 9041, 157, 112, 4159, 9192, 7079, 7314, 4505, 8692, 7574, 1675, 1031, 6082, 9924, 2468, 5794, 8221, 5533, 4676, 4458, 5391, 126, 3147, 376, 1863, 8303, 5652, 8588, 5769, 2456, 845, 6220, 1220, 3121, 4229, 9971, 516, 6161, 4673, 5906, 2180, 9034, 5618, 5668, 6819, 4128, 5962, 2445, 1926, 1249, 6095, 2245, 4478, 1504, 8561, 662, 2611, 6533, 6395, 9204, 8335, 9948, 2797, 3572, 3630, 101, 6384, 3097, 654, 4230, 8884, 2667, 7914, 7372, 8282, 9697, 4567, 5147, 463, 8607, 7399, 7060, 5194, 3869, 2609, 5065, 2409, 8894, 4790, 1405, 7630, 2121, 1607, 6534, 7754, 519, 6752, 8471, 4749, 2645, 1765, 1924, 1497, 732, 3223, 8850, 105, 243, 7539, 7361, 9303, 5502, 5020, 8215, 3995, 5, 2510, 5773, 3051, 1265, 7233, 8315, 6405, 5816, 5251, 7821, 1362, 9745, 2005, 3273, 1126, 6907, 9376, 1533, 5999, 2303, 8109, 6816, 3514, 2896, 8302, 1990, 8980, 4460, 8131, 8551, 4587, 5479, 5669, 6521, 4486, 624, 867, 9197, 3364, 5021, 9629, 5905, 6993, 7034, 4212, 870, 7070, 6585, 9466, 7274, 954, 9031, 3079, 7165, 5495, 4852, 7545, 1275, 3047, 2533, 5865, 4247, 832, 9351, 9706, 9137, 2816, 132, 3279, 6922, 9358, 5232, 5323, 4783, 6104, 3232, 6034, 9330, 1966, 8595, 8279, 4551, 6527, 6225, 4168, 5764, 5879, 7950, 331, 1381, 473, 8741, 2302, 350, 5439, 5921, 6373, 6499, 6843, 5477, 7321, 748, 5364, 8946, 5653, 1379, 4576, 9305, 5384, 9394, 25, 2060, 566, 4093, 9963, 4347, 6004, 8837, 71, 3378, 8376, 1093, 4522, 7221, 3652, 268, 3102, 8164, 7766, 8200, 6738, 6553, 6396, 228, 3759, 8232, 2208, 2821, 5657, 9393, 137, 3942, 3632, 6180, 5570, 5536, 2420, 9118, 4011, 7863, 3193, 7880, 8418, 7056, 885, 9027, 281, 9736, 7342, 2812, 8847, 1769, 7706, 7111, 9254, 9981, 8289, 2430, 3081, 7407, 9117, 2007, 2239, 3840, 805, 4172, 5137, 2102, 9943, 6762, 5442, 1107, 143, 3746, 133, 7895, 755, 7790, 4401, 3600, 470, 4181, 4455, 9038, 7592, 2864, 1817, 7958, 7154, 1309, 6881, 1351, 963, 1192, 8556, 4521, 4679, 9836, 1191, 5292, 4398, 2628, 4287, 2289, 5889, 1276, 3478, 3034, 1931, 9143, 4095, 9990, 4149, 1503, 673, 4284, 9251, 486, 2311, 7775, 8396, 3306, 9895, 4169, 512, 5466, 9161, 3586, 8240, 4010, 8245, 3289, 6682, 4882, 852, 7813, 2713, 1431, 3188, 6498, 7781, 2261, 9532, 3403, 4546, 5009, 3945, 4361, 6059, 5565, 310, 3938, 6991, 5411, 9876, 919, 3444, 5473, 9218, 1407, 2039, 9100, 886, 309, 2642, 7187, 9372, 4356, 2778, 4151, 6228, 3659, 4459, 6794, 6987, 562, 7611, 5989, 9784, 5974, 9725, 9156, 8118, 7793, 3119, 1846, 6528, 8480, 7695, 3536, 1885, 595, 4509, 7946, 6223, 2942, 511, 820, 5822, 3832, 8379, 1208, 7515, 686, 9504, 1393, 9241, 1002, 3438, 7788, 3585, 2820, 9591, 3178, 3635, 5079, 1386, 7585, 9164, 1311, 1039, 2793, 9064, 7535, 6128, 6602, 9050, 608, 9170, 5347, 6385, 9526, 2419, 751, 1940, 5193, 3738, 7832, 8090, 1241, 3648, 1923, 5037, 96, 7258, 3558, 9746, 1641, 1562, 3366, 2959, 6723, 7853, 601, 8877, 4601, 8896, 8515, 3463, 586, 6372, 2834, 483, 5138, 8759, 4260, 6704, 6367, 7215, 1288, 2055, 3979, 5882, 2792, 7840, 9969, 5516, 6062, 4870, 8780, 3633, 694, 2178, 2585, 5428, 8954, 7537, 5558, 149, 4067, 7506, 9175, 4520, 1563, 4157, 362, 6591, 3036, 967, 6575, 6109, 7393, 5157, 3588, 4591, 2594, 1363, 573, 5011, 8836, 6709, 8559, 7569, 3404, 4727, 3752, 1005, 2156, 7559, 5966, 4422, 855, 4494, 7401, 293, 8373, 9104, 1704, 7942, 5791, 7437, 1069, 9605, 4441, 3743, 8371, 7720, 2893, 4153, 7395, 1062, 3528, 8900, 6453, 5063, 1345, 8165, 2283, 6043, 27, 7116, 5665, 8613, 7568, 5080, 2008, 6039, 6756, 6086, 2411, 1212, 5664, 1090, 4044, 7491, 7902, 8802, 5743, 4080, 3725, 6710, 3238, 9257, 1050, 9650, 5566, 5809, 5484, 1145, 4430, 1946, 6598, 505, 734, 3084, 2647, 2227, 9950, 1453, 6813, 8959, 5022, 9436, 8747, 2157, 5485, 3793, 4750, 9989, 4707, 4670, 22, 1789, 7656, 5530, 7397, 6582, 5939, 8566, 4340, 9346, 9769, 6992, 5010, 2787, 8875, 2639, 1828, 1105, 358, 9474, 1513, 7595, 6487, 1375, 6262, 9126, 8370, 8448, 3988, 3503, 4302, 353, 3339, 868, 2618, 3631, 9294, 2255, 4381, 4399, 493, 3515, 4643, 6561, 4900, 2356, 2621, 3409, 5591, 4470, 2049, 5208, 8693, 8740, 9713, 8227, 3298, 683, 2292, 2183, 6343, 4998, 1577, 4946, 7833, 46, 1702, 1233, 2076, 9884, 1975, 4565, 9933, 4609, 9223, 6495, 7553, 2120, 5406, 6054, 4483, 6689, 3878, 592, 28, 3220, 7226, 3543, 4668, 5368, 2672, 8522, 436, 5423, 9222, 2928, 6548, 1827, 8751, 3618, 2986, 1571, 3712, 7035, 7489, 1779, 6469, 7132, 3775, 7014, 982, 9352, 4240, 6625, 754, 4017, 6550, 6933, 8466, 8801, 5849, 3598, 2788, 6254, 9296, 2193, 8590, 57, 2077, 2071, 7828, 2206, 4392, 1962, 2170, 1978, 6038, 6726, 5381, 1630, 2353, 6118, 2097, 2848, 5260, 3101, 7621, 1608, 6025, 8915, 7160, 7029, 9702, 2826, 2167, 5997, 8986, 7801, 5834, 4077, 2748, 8133, 2850, 2341, 4195, 2760, 7282, 1945, 6127, 2730, 6769, 3120, 9575, 5197, 7355, 8984, 7243, 9576, 916, 6473, 7802, 2273, 8994, 3150, 6033, 1896, 1810, 3390, 7418, 8690, 4540, 6076, 2516, 2069, 9657, 2381, 8506, 2706, 4336, 5838, 7737, 4853, 8340, 4753, 9479, 2274, 3842, 7150, 2009, 8156, 2757, 9733, 4913, 6176, 1633, 8519, 1186, 5209, 4827, 7265, 7945, 3131, 8465, 5213, 6023, 9152, 4115, 9944, 5070, 4324, 4300, 2276, 4669, 2089, 6872, 1565, 8484, 3361, 2070, 3577, 4929, 3641, 9763, 3808, 8825, 1471, 1895, 7012, 4396, 4680, 6957, 3678, 8953, 9220, 6556, 8350, 2435, 7806, 8755, 1529, 6554, 8749, 7126, 7082, 2968, 2068, 8252, 5613, 9645, 9964, 3766, 2437, 3342, 2973, 7219, 1804, 6036, 6885, 1572, 2118, 3910, 2207, 7962, 4960, 6972, 9189, 6622, 9058, 1151, 7723, 2285, 3148, 5177, 6503, 1640, 5338, 3816, 7741, 9606, 3850, 6174, 4687, 9653, 5153, 7718, 6120, 4306, 218, 2786, 4064, 9554, 3611, 2164, 8000, 1008, 6070, 4315, 6438, 382, 2689, 1441, 1787, 8744, 6606, 9496, 6339, 2133, 4696, 9122, 667, 2228, 5366, 5494, 3142, 878, 917, 8479, 1690, 1403, 4898, 9534, 931, 4132, 3504, 7617, 3674, 9012, 5579, 5796, 233, 2169, 2267, 3889, 2176, 1682, 8674, 7746, 2433, 3280, 8219, 5041, 3724, 6835, 3662, 794, 9000, 1352, 6537, 2691, 5346, 5619, 8034, 9870, 2017, 682, 7439, 1893, 6832, 5315, 7045, 4759, 5074, 6488, 1251, 8815, 8799, 33, 3209, 554, 6742, 7463, 6376, 7679, 4105, 7276, 8650, 814, 757, 1317, 6921, 939, 3443, 2881, 6560, 2202, 81, 5042, 5057, 625, 8514, 2056, 1112, 7761, 4746, 924, 4859, 4126, 5458, 7325, 5606, 4062, 5295, 7872, 1941, 4945, 8520, 3822, 3396, 9869, 3912, 4073, 1270, 9693, 84, 3059, 4421, 7694, 5953, 4968, 2477, 227, 6638, 5365, 2074, 8672, 5861, 8845, 9700, 3616, 338, 6049, 9228, 419, 4394, 3913, 7403, 2980, 6182, 9344, 120, 5680, 4741, 1677, 5050, 38, 7697, 8184, 4012, 529, 1195, 2543, 933, 7193, 4683, 8323, 6137, 2431, 3654, 4100, 541, 2963, 1554, 9291, 3427, 2022, 7663, 6026, 2154, 18, 6746, 7849, 786, 9441, 3137, 4385, 1525, 6963, 2139, 3898, 6355, 9260, 3037, 8361, 3560, 663, 5732, 5662, 2722, 4378, 725, 118, 9825, 9905, 285, 8611, 767, 7964, 2728, 4450, 8918, 1770, 720, 1785, 4869, 128, 1751, 6381, 6525, 1528, 3118, 8014, 5169, 4890, 8831, 731, 3155, 2204, 3171, 9262, 321, 3827, 1552, 3860, 4757, 2909, 82, 920, 8731, 1662, 882, 9931, 5038, 4265, 6599, 250, 9120, 5469, 1402, 5348, 5116, 5258, 2692, 5615, 9781, 827, 6114, 913, 1118, 8018, 2240, 320, 4140, 9235, 2105, 3259, 9987, 2874, 9186, 1651, 8067, 1477, 4877, 4649, 4824, 7387, 4996, 6912, 8253, 3420, 7156, 21, 2291, 5767, 8030, 2906, 8630, 6918, 1006, 7579, 2349, 3349, 5943, 6084, 2335, 5181, 4060, 2340, 5090, 7591, 5856, 6744, 9803, 4250, 3786, 308, 833, 5253, 411, 5270, 4176, 8036, 6115, 3591, 4006, 2505, 3669, 3329, 2238, 1545, 7006, 9648, 7200, 9169, 3377, 2939, 7645, 3384, 2217, 2773, 2739, 3096, 3437, 7959, 9690, 5409, 6276, 9837, 9677, 5950, 8460, 1865, 2904, 6701, 8998, 8660, 4275, 615, 760, 4292, 7714, 2676, 4107, 8167, 8419, 5741, 5899, 1455, 5178, 390, 9318, 7365, 7449, 7869, 6041, 492, 959, 8670, 2998, 6494, 1187, 5289, 3222, 5498, 8128, 3109, 9516, 1015, 2106, 7520, 3010, 9424, 9026, 1762, 6893, 997, 3581, 439, 4299, 8846, 7888, 5511, 6914, 6934, 8447, 6985, 9573, 8294, 3742, 1624, 1282, 7783, 4603, 4484, 4822, 4474, 7205, 923, 990, 8909, 7768, 5078, 1368, 34, 1549, 5214, 6665, 2318, 4862, 2548, 1997, 3777, 6944, 5418, 5385, 1974, 8298, 2408, 5832, 3645, 8391, 6478, 3768, 5190, 8512, 7847, 5946, 8343, 7369, 8754, 2522, 9199, 6552, 3302, 2743, 8330, 8404, 9148, 4518, 2221 ], [ 8805, 2385, 6978, 2943, 4550, 5598, 1692, 6241, 3542, 6937, 6836, 5032, 3056, 2426, 914, 8045, 674, 3185, 4497, 9008, 2855, 4742, 6826, 6094, 53, 7685, 9642, 4959, 9640, 7097, 1466, 1792, 8468, 2026, 7671, 6984, 5602, 8187, 9336, 8550, 91, 5887, 2134, 7164, 2753, 8491, 5813, 9834, 4666, 8890, 2073, 2352, 3957, 4983, 6102, 7573, 5994, 3986, 3163, 2685, 7182, 8527, 5299, 1374, 4883, 2471, 500, 48, 4769, 549, 3990, 5352, 1667, 3924, 5067, 6313, 7466, 6546, 5240, 2547, 2657, 7103, 7770, 267, 8645, 1777, 1888, 635, 7254, 8293, 7000, 9646, 4249, 9423, 5302, 6614, 7552, 6455, 1404, 2479, 7884, 8562, 7094, 912, 6430, 7534, 8319, 9061, 2165, 7247, 7145, 3753, 9505, 4359, 8758, 3371, 1085, 6435, 9922, 9259, 5534, 3110, 9877, 4418, 1932, 1567, 9868, 8320, 4089, 2495, 6982, 1077, 6408, 9084, 501, 3355, 5355, 2485, 6160, 3689, 2695, 2343, 342, 8461, 2597, 68, 2878, 8145, 9698, 9486, 2398, 3060, 5471, 9502, 5780, 3448, 7846, 9337, 8481, 4370, 5971, 2093, 9847, 6353, 2682, 5318, 2065, 7649, 5464, 6091, 9047, 5954, 7303, 2911, 7963, 6193, 8329, 151, 391, 373, 8194, 7141, 3493, 1558, 921, 7356, 1543, 5553, 2314, 7434, 3272, 8089, 6411, 7261, 9068, 6464, 7471, 5454, 3569, 8029, 4294, 5371, 9985, 4503, 7161, 9345, 8456, 6853, 3717, 4846, 1780, 7379, 5827, 6123, 6611, 1879, 1307, 9755, 9415, 5951, 9335, 7033, 6731, 7712, 2225, 4897, 3130, 9404, 8337, 8732, 8458, 4511, 2581, 5842, 7452, 7269, 1916, 5150, 8862, 8509, 3974, 1527, 3069, 7931, 7995, 2669, 5039, 1619, 623, 4279, 6466, 5633, 5359, 2337, 8597, 2269, 4098, 9759, 8017, 656, 9912, 8635, 8878, 4083, 6264, 3359, 5286, 1188, 1730, 2392, 3460, 4693, 3159, 7856, 4304, 131, 8733, 2048, 3, 5488, 1054, 1104, 3555, 9874, 7824, 3535, 1665, 1801, 7899, 5934, 5933, 4894, 5863, 4122, 9903, 1771, 5290, 6809, 7270, 3290, 6027, 8469, 8526, 8185, 7181, 8628, 8121, 9861, 7789, 791, 9446, 56, 2295, 8108, 6348, 8972, 1224, 3891, 1732, 3883, 6196, 3394, 3471, 6156, 2369, 3649, 6754, 8476, 3169, 8311, 7327, 6452, 6632, 839, 2627, 5658, 1468, 2742, 6770, 3709, 5646, 6303, 1078, 4647, 753, 3604, 6015, 304, 8292, 3229, 2047, 797, 4977, 2772, 6412, 2554, 8523, 4187, 7742, 8287, 7110, 7500, 7037, 3226, 8524, 4371, 4735, 203, 4119, 1200, 1334, 8902, 8786, 9458, 4773, 1283, 2765, 622, 3093, 1506, 5715, 2566, 6732, 9313, 2137, 8394, 3513, 5560, 3716, 9940, 1832, 5627, 5296, 6909, 2832, 5546, 5278, 8078, 2538, 8325, 4667, 1775, 7312, 2480, 700, 127, 8345, 4397, 5356, 542, 3589, 742, 7336, 326, 5111, 4214, 7042, 1459, 9183, 6072, 2347, 2588, 4071, 4127, 6712, 552, 7698, 6444, 8687, 4283, 6300, 3299, 2229, 1502, 4235, 7186, 3809, 853, 6671, 1256, 8099, 2518, 5274, 585, 4797, 1960, 6485, 6531, 7759, 6277, 8926, 5639, 9533, 9928, 5733, 2201, 4713, 1451, 2578, 5661, 3780, 35, 949, 4980, 5666, 2764, 1809, 5379, 8885, 1098, 9016, 8427, 5503, 8195, 4809, 1723, 6780, 7747, 4343, 242, 7238, 6895, 1290, 4805, 7700, 9885, 7889, 3005, 502, 4482, 4531, 1074, 7442, 825, 922, 6190, 491, 849, 4630, 4648, 1914, 8784, 5751, 5519, 5084, 4835, 4988, 7423, 7057, 4129, 1198, 1070, 8255, 4734, 1688, 771, 8088, 7767, 3168, 8879, 4887, 3559, 3071, 3038, 4831, 1125, 9880, 802, 828, 264, 2736, 9718, 8085, 7733, 4278, 1986, 1866, 7909, 5788, 3580, 4717, 7171, 1035, 7983, 4710, 2380, 1197, 62, 8285, 6164, 5108, 5985, 4851, 8796, 8403, 2459, 1082, 1701, 3432, 1516, 3271, 4147, 3664, 6697, 7650, 551, 6667, 3186, 8013, 9623, 6211, 3781, 7195, 5761, 4261, 6953, 7923, 3914, 7580, 4624, 2440, 7825, 3549, 3769, 4657, 3966, 2041, 8969, 7778, 138, 2504, 8053, 1440, 3779, 5461, 9519, 7212, 2279, 1786, 6879, 488, 782, 4539, 1721, 6618, 7961, 1992, 5622, 6829, 6472, 7850, 3703, 8921, 2247, 8770, 639, 8605, 1384, 3122, 2974, 8155, 584, 4425, 4686, 9557, 992, 4375, 6949, 7222, 2780, 6421, 4847, 7906, 7572, 1089, 2625, 2587, 7137, 5192, 2496, 1491, 9395, 6274, 5133, 5555, 8497, 6429, 9472, 5645, 6172, 4345, 790, 1454, 9153, 8470, 2150, 9888, 8591, 7481, 3240, 897, 2626, 7919, 2967, 809, 7536, 4549, 3095, 1193, 7140, 695, 3261, 6175, 3675, 4812, 8542, 3551, 9462, 609, 9579, 1122, 441, 5543, 9297, 5869, 1705, 1418, 4979, 8504, 543, 5654, 2913, 6080, 8203, 3400, 1452, 6950, 1271, 3697, 5191, 7865, 6891, 3445, 4003, 1360, 2038, 1857, 7260, 9957, 5306, 6743, 6681, 2362, 1473, 1814, 9762, 9370, 8150, 5883, 152, 5800, 3767, 119, 558, 9231, 1694, 1592, 5322, 7540, 3557, 41, 4594, 7586, 7814, 5386, 4774, 9245, 9630, 6431, 2246, 8369, 3440, 7425, 6219, 9258, 1292, 3281, 3903, 9527, 801, 8913, 7264, 5241, 8549, 1434, 5118, 3508, 8743, 2759, 6929, 6755, 316, 9808, 3311, 9938, 7411, 3997, 8742, 620, 1921, 6793, 8689, 2124, 3698, 5337, 9748, 1928, 9765, 1264, 856, 8499, 6674, 3076, 5659, 9628, 26, 5531, 3950, 5973, 1844, 7374, 5113, 6141, 2010, 5700, 8648, 3745, 6167, 5140, 4672, 1080, 8357, 1119, 5088, 4174, 6419, 7373, 2286, 556, 5307, 4499, 4932, 1408, 1273, 3797, 6626, 3951, 3960, 3160, 6273, 2338, 918, 7475, 3838, 266, 5320, 3607, 7309, 4886, 6694, 7721, 305, 5350, 7426, 2242, 9722, 5643, 2222, 2306, 4833, 7123, 1389, 156, 346, 2294, 6236, 6169, 5377, 2956, 5697, 8730, 571, 4242, 9547, 4962, 3446, 446, 1878, 7514, 2346, 6910, 1398, 1673, 4108, 9271, 6842, 831, 2709, 1420, 1244, 1713, 2977, 7046, 7386, 6680, 2112, 5520, 3042, 6140, 848, 3198, 6159, 6504, 5089, 6471, 3028, 9641, 1347, 7765, 3521, 166, 2454, 5584, 527, 2843, 1227, 1995, 4408, 6807, 7858, 9507, 6404, 7109, 928, 8725, 8202, 1929, 1391, 2660, 2655, 9420, 1823, 1858, 8772, 3433, 5696, 6673, 9009, 1537, 7659, 2210, 487, 8119, 6938, 6736, 6915, 1824, 6158, 5583, 5335, 8449, 9322, 4377, 9315, 122, 8161, 5327, 3531, 7662, 9974, 2937, 8094, 8171, 6623, 2166, 6844, 2025, 8026, 121, 1972, 3129, 9077, 3479, 9459, 1053, 1836, 1947, 4364, 665, 9461, 6031, 4221, 847, 6283, 6810, 4815, 6398, 3991, 249, 3099, 7214, 3700, 540, 8826, 9679, 5772, 9515, 4554, 5814, 1581, 2861, 7731, 4056, 3082, 3282, 3244, 2000, 6772, 9371, 8988, 5179, 1210, 9457, 9767, 4213, 7019, 7248, 194, 7605, 3978, 3592, 212, 2525, 3202, 6210, 5963, 1526, 8019, 467, 5821, 7886, 5729, 7719, 8616, 9790, 8080, 5637, 89, 4811, 8970, 67, 8898, 5892, 54, 1601, 3554, 384, 5935, 5040, 9715, 7404, 3844, 3609, 1190, 9774, 5873, 392, 1246, 5497, 1950, 8144, 4597, 9510, 4613, 3693, 1232, 9365, 9081, 8160, 1781, 813, 8945, 1442, 5334, 4579, 3980, 1388, 6203, 5862, 2810, 7162, 9925, 4584, 8077, 610, 2608, 5916, 2690, 1500, 5810, 6467, 9732, 1081, 3888, 2126, 6271, 1341, 3294, 1209, 4659, 5995, 4909, 7777, 1927, 1115, 4469, 273, 8794, 692, 5604, 7548, 3694, 7529, 5459, 6465, 6299, 7113, 3016, 9295, 7634, 5581, 4085, 1138, 4818, 1594, 238, 8753, 6927, 4920, 8406, 7683, 2297, 8, 761, 8598, 2530, 8912, 2924, 9574, 3085, 2052, 5851, 7405, 7882, 520, 4706, 6572, 3462, 6571, 7982, 1110, 4305, 4202, 4479, 6931, 1096, 7773, 2216, 8905, 568, 6245, 9111, 9970, 7008, 5325, 3953, 1714, 9373, 3191, 2549, 5481, 9005, 8445, 6808, 7928, 4958, 1258, 9173, 5460, 184, 2250, 6831, 9456, 5650, 6734, 7722, 5184, 8782, 1596, 5945, 894, 458, 4650, 9469, 4183, 6803, 8390, 7317, 2020, 2119, 4794, 6952, 7873, 397, 5285, 4937, 9644, 8750, 9323, 2917, 8849, 1853, 2802, 8005, 1754, 1560, 9416, 1600, 8956, 231, 7998, 9367, 7981, 9024, 3578, 1103, 8642, 78, 6661, 8197, 4623, 1737, 8713, 4400, 8601, 3935, 9818, 8433, 3143, 7053, 8275, 4868, 8432, 5333, 5125, 1734, 4641, 8935, 3257, 9237, 1387, 5644, 7106, 4070, 9548, 7811, 1616, 5226, 1001, 5248, 9977, 6956, 2624, 5329, 9804, 9224, 2443, 7184, 5984, 7918, 1738, 1012, 7644, 8775, 3798, 9265, 9063, 1585, 1740, 4457, 9946, 5131, 7429, 8278, 5071, 8025, 969, 4228, 785, 9480, 9088, 9437, 4784, 1963, 4599, 3426, 1260, 5991, 1410, 7796, 3457, 8409, 4830, 7667, 6768, 1425, 3546, 1280, 5161, 5024, 5205, 1041, 3579, 3124, 5737, 3975, 8748, 8623, 328, 3673, 612, 7905, 9562, 7398, 7499, 7011, 4124, 1373, 5924, 7835, 735, 1308, 4031, 9921, 5499, 6377, 8848, 8973, 2641, 6685, 7972, 1544, 5915, 7446, 6315, 5378, 7710, 4716, 6382, 6696, 1674, 135, 7771, 9674, 7357, 1799, 9359, 4995, 4532, 5017, 8309, 4646, 4780, 6796, 2282, 3127, 1296, 5045, 4914, 3177, 8158, 5392, 1176, 6659, 896, 7112, 1742, 9399, 5735, 4974, 2171, 5019, 8798, 7095, 3502, 4308, 2272, 8678, 2493, 8813, 3879, 6447, 6116, 7596, 8886, 1759, 9105, 650, 2683, 4468, 8259, 8236, 5760, 4363, 1584, 3497, 2677, 5982, 2662, 7353, 1109, 3134, 3368, 462, 5390, 8626, 9703, 5075, 5912, 2640, 7179, 7414, 3534, 7511, 8305, 32, 4211, 6962, 5648, 4022, 6876, 45, 2406, 904, 3314, 2253, 4802, 1681, 236, 3533, 4703, 7474, 4199, 3414, 7252, 7201, 7104, 3041, 7135, 7994, 2966, 6620, 5085, 4111, 684, 8257, 9011, 7830, 7678, 1179, 8510, 4941, 9538, 4254, 8102, 6402, 6555, 2875, 4086, 7469, 5576, 6690, 1079, 6589, 6029, 569, 6194, 2999, 9129, 6085, 8764, 7335, 630, 6064, 2189, 9815, 2723, 174, 3278, 4134, 3934, 8281, 5362, 1849, 2015, 9334, 1029, 1868, 1143, 4702, 6138, 1699, 7417, 1007, 9101, 5931, 9684, 5736, 5492, 4556, 9029, 3538, 7256, 1218, 5852, 8641, 3215, 6913, 7780, 1904, 860, 1920, 6994, 9615, 1166, 4410, 5730, 3492, 2326, 6997, 9999, 9056, 2482, 6100, 2138, 1980, 5441, 858, 5170, 7672, 3428, 707, 8064, 1327, 9460, 337, 1479, 6848, 7812, 2223, 7081, 5833, 4020, 4926, 6788, 6450, 1284, 1111, 3758, 8127, 3907, 2801, 9568, 2361, 6932, 5967, 5015, 9555, 5044, 2506, 626, 8859, 2871, 2451, 7544, 9023, 2784, 6445, 1798, 5224, 2577, 1222, 4820, 6642, 396, 613, 4689, 7666, 1663, 2498, 7954, 2234, 3204, 2415, 4281, 952, 2057, 7223, 7287, 2, 911, 6587, 2630, 2315, 6827, 7438, 6866, 9039, 2345, 381, 7194, 4030, 8407, 9168, 7176, 8688, 8721, 2305, 9400, 4975, 888, 3233, 7306, 3874, 5681, 5452, 9407, 8411, 5174, 4943, 555, 9333, 1469, 9801, 2990, 1991, 9941, 4814, 123, 9384, 3125, 1961, 3651, 9883, 3996, 7917, 5917, 7606, 9188, 3108, 3157, 6177, 2464, 1625, 3456, 1042, 8148, 4582, 4752, 1400, 5016, 711, 9878, 4756, 3963, 6133, 8923, 4243, 7076, 6688, 1163, 3389, 4893, 9517, 5874, 8178, 6908, 3605, 1509, 2023, 181, 2332, 5755, 8288, 3691, 1573, 9799, 7912, 5146, 3829, 1871, 497, 9274, 9083, 8443, 2929, 1521, 8103, 6960, 784, 8962, 5426, 661, 974, 6105, 4280, 8204, 7124, 9949, 1698, 9982, 5786, 6877, 2198, 9320, 3956, 9269, 666, 1281, 3937, 9284, 7798, 5303, 6747, 3413, 972, 1881, 3561, 4615, 1968, 2351, 386, 1794, 6336, 6946, 9425, 7614, 3871, 6733, 2327, 6081, 5283, 8714, 7022, 319, 4148, 5958, 4016, 1488, 4639, 7155, 5542, 1152, 374, 3254, 3141, 7310, 590, 4994, 2209, 4226, 103, 9163, 3904, 3270, 3556, 1693, 9434, 3839, 2517, 8599, 532, 5894, 4431, 2186, 2404, 7967, 5222, 6783, 4985, 1591, 4390, 6362, 5238, 1144, 5243, 9750, 144, 8800, 9342, 5242, 1231, 4268, 4633, 3563, 4374, 306, 2741, 2232, 8728, 451, 8327, 2452, 9445, 3851, 9432, 6627, 3961, 8854, 2885, 2140, 6903, 4642, 9288, 8143, 2542, 1052, 2531, 6260, 424, 2815, 8917, 2688, 9649, 6925, 7244, 1266, 8565, 5866, 3877, 7075, 303, 9689, 6724, 5858, 4600, 507, 6629, 8423, 4855, 8573, 4234, 3363, 4002, 5049, 1954, 2084, 4748, 5237, 7031, 3701, 3643, 4892, 4821, 6771, 3737, 7385, 3704, 5528, 4697, 5280, 7566, 4313, 6630, 8081, 7188, 4598, 5501, 4788, 5003, 3795, 3316, 8720, 3770, 8068, 8666, 7670, 5641, 3477, 4645, 1430, 3866, 889, 7960, 9004, 1113, 197, 5647, 2710, 5490, 7391, 9789, 1355, 9919, 7951, 5787, 3246, 6379, 4519, 6976, 209, 4052, 651, 8066, 5620, 4552, 6456, 5396, 7518, 9819, 9848, 7174, 9839, 5369, 23, 294, 1639, 8967, 998, 9106, 2631, 6126, 6943, 7316, 1874, 6252, 2004, 6380, 1099, 7563, 8114, 6862, 4489, 4039, 3151, 7294, 6249, 5027, 9747, 2416, 3303, 8736, 7601, 4906, 9509, 359, 9569, 9721, 7809, 1634, 6777, 50, 1211, 1909, 9360, 4372, 4215, 5785, 7581, 7257, 6097, 3027, 336, 6886, 275, 4729, 2064, 6663, 55, 6332, 2163, 1757, 3610, 9438, 8485, 3381, 8880, 7546, 2637, 8274, 8684, 6523, 1475, 3881, 1361, 6040, 965, 9046, 5122, 9827, 2899, 9494, 5630, 4232, 6106, 4419, 460, 1017, 5155, 4439, 3897, 9087, 9670, 6703, 6275, 2898, 4344, 58, 2992, 8332, 3001, 9838, 2744, 4799, 758, 2259, 4491, 772, 4661, 2148, 7620, 5351, 3337, 2936, 4905, 6725, 474, 235, 8475, 6060, 5198, 1948, 3335, 69, 7020, 3475, 9049, 1969, 9390, 6874, 1530, 1291, 7091, 4607, 1886, 1764, 2829, 2226, 9054, 6150, 539, 726, 4888, 3262, 3740, 8486, 4040, 8766, 6393, 3968, 1574, 7280, 8575, 2520, 4658, 2715, 9177, 7456 ], [ 4380, 7065, 1329, 6721, 3522, 6056, 107, 1419, 4321, 2127, 8238, 9493, 7495, 8698, 3893, 4258, 2031, 6484, 4078, 5195, 2241, 6185, 893, 1344, 7301, 9099, 644, 6679, 224, 3550, 1293, 4527, 5595, 5774, 1439, 2777, 7445, 4069, 3026, 1124, 9343, 8511, 2131, 8765, 1255, 6342, 7957, 4942, 8007, 773, 8237, 7879, 4216, 5798, 4333, 5115, 73, 8062, 5156, 8048, 1135, 2429, 3039, 2470, 5675, 4572, 5903, 8023, 7898, 5172, 745, 7120, 9792, 9914, 88, 637, 5988, 1433, 5578, 8594, 3260, 1369, 8117, 9158, 9215, 7485, 4248, 8307, 5793, 3683, 2149, 4354, 9092, 5918, 9694, 8620, 8375, 5012, 9968, 8873, 7304, 7845, 8947, 4142, 8049, 1028, 3948, 2673, 3859, 9062, 1826, 8669, 1568, 699, 8655, 9226, 1016, 1949, 6301, 8997, 5686, 1726, 8593, 1346, 957, 5468, 5448, 6568, 2196, 5340, 1597, 6830, 7565, 4574, 2648, 4838, 4925, 994, 2395, 4541, 591, 4690, 8084, 8658, 7412, 2746, 9116, 865, 1172, 2632, 9659, 6387, 4889, 3670, 6936, 3805, 4806, 803, 256, 2348, 9200, 2366, 1784, 5636, 1076, 4244, 1604, 7157, 1933, 8268, 1984, 1030, 6664, 6506, 2882, 8096, 367, 213, 576, 2644, 9103, 3376, 6636, 961, 3685, 2725, 6481, 5055, 4081, 8602, 5363, 7831, 8324, 2962, 5550, 526, 9793, 9859, 8663, 4423, 2828, 2737, 3623, 6459, 3813, 5269, 8101, 3783, 3671, 5321, 6821, 3719, 5127, 0, 3721, 3621, 2988, 5537, 7744, 5220, 2368, 6945, 2945, 2160, 246, 1880, 162, 3482, 5779, 7538, 130, 496, 7602, 6003, 7749, 8555, 4730, 3895, 7096, 6643, 8949, 8044, 2473, 5211, 6392, 905, 3008, 4121, 6153, 5301, 5828, 6297, 9824, 8920, 937, 6257, 4513, 4417, 4871, 679, 296, 4467, 6418, 8478, 6757, 6243, 8869, 8852, 672, 7516, 6610, 4728, 9624, 9435, 2944, 2388, 2062, 7498, 5998, 9196, 6248, 3692, 8015, 7648, 5500, 8822, 956, 4050, 464, 1851, 4964, 5884, 252, 1561, 993, 7724, 9451, 8702, 2658, 8380, 8233, 2558, 1484, 9492, 2313, 618, 9442, 4896, 8182, 9787, 6113, 1040, 4723, 24, 2046, 5082, 1882, 4813, 5687, 8735, 6227, 6317, 8397, 5802, 7290, 1731, 7486, 1435, 1936, 453, 4225, 6125, 1505, 6717, 4384, 8507, 2115, 6374, 4698, 5000, 6098, 1429, 4828, 1267, 8996, 1609, 4999, 4628, 7339, 5795, 3362, 8072, 7637, 8574, 8757, 3341, 8661, 3603, 5059, 3013, 182, 6784, 4053, 5455, 9348, 9651, 6787, 476, 7890, 8617, 4131, 8547, 525, 7049, 6515, 1411, 8709, 4688, 5367, 61, 2747, 3000, 536, 3265, 4807, 2798, 9354, 191, 4872, 4420, 806, 4543, 5201, 8686, 8216, 7926, 2636, 945, 547, 6695, 3981, 8207, 4001, 9588, 9626, 2600, 9614, 7989, 5472, 8429, 9540, 3566, 2519, 6333, 7949, 9601, 7935, 5983, 8413, 5330, 4836, 9915, 6605, 1073, 9242, 6551, 7929, 4114, 7639, 3708, 4875, 4007, 955, 9625, 7051, 175, 2592, 1807, 5006, 198, 9292, 2941, 1943, 7517, 545, 2954, 4267, 1623, 8783, 9714, 428, 9572, 3855, 652, 906, 2281, 1964, 781, 63, 9097, 8450, 6656, 5304, 7003, 8105, 7613, 7409, 3425, 9045, 416, 5437, 1348, 8819, 5897, 1091, 9731, 145, 5267, 935, 9594, 4529, 9788, 1004, 2714, 9490, 8739, 6631, 1575, 1121, 3510, 2508, 7604, 3353, 8540, 9368, 5750, 1304, 1372, 7444, 3358, 2601, 3391, 6841, 2037, 4488, 4548, 9347, 2061, 6806, 9854, 4684, 6470, 9001, 4969, 1745, 5836, 6181, 6178, 9113, 5073, 4711, 4496, 5313, 634, 4291, 6045, 1627, 8351, 9364, 1147, 5163, 2441, 733, 5720, 7, 8349, 3216, 1394, 5513, 1748, 6566, 7976, 2560, 1687, 8021, 1358, 5541, 5252, 6850, 5341, 6570, 6797, 5449, 6544, 1018, 8079, 6612, 4881, 9349, 499, 3247, 9418, 6559, 3073, 7610, 8604, 7293, 6328, 880, 942, 5429, 3348, 4825, 5677, 3345, 818, 40, 8321, 6129, 793, 5707, 572, 4940, 3009, 7337, 6707, 3686, 2617, 3367, 6540, 627, 5166, 7748, 4638, 8496, 4171, 153, 4662, 7986, 7021, 3564, 7785, 8629, 6989, 8235, 4580, 900, 1228, 3070, 2100, 7134, 779, 6818, 8346, 670, 5864, 7966, 4238, 3615, 3464, 3236, 3494, 9680, 629, 3200, 4058, 7175, 7324, 2862, 3729, 1299, 5860, 8503, 2933, 1474, 4954, 5875, 2654, 9132, 3715, 8940, 4655, 1707, 5714, 2908, 2694, 9431, 3541, 3187, 1998, 3977, 3422, 717, 5373, 3650, 6706, 5206, 1223, 318, 4135, 2803, 4535, 6237, 9961, 8092, 3429, 658, 9966, 821, 7281, 1057, 1036, 6727, 6246, 1583, 8657, 603, 3365, 8032, 1173, 3597, 4252, 6240, 3117, 3441, 881, 3552, 9865, 8228, 9206, 4427, 8711, 6486, 8152, 2698, 6729, 8272, 4936, 4605, 5857, 414, 2344, 5702, 7047, 1569, 985, 59, 8960, 8122, 5132, 2719, 6795, 7107, 3826, 5400, 7851, 8180, 962, 3864, 708, 7834, 5765, 9730, 6778, 1443, 2125, 3369, 960, 1676, 3007, 216, 495, 996, 5920, 7818, 3873, 7496, 6149, 9319, 4210, 3017, 7493, 944, 3434, 5913, 6700, 4245, 9478, 5673, 9998, 5273, 2708, 2602, 9353, 4817, 983, 6426, 4682, 8424, 9174, 2523, 360, 4203, 1620, 2391, 4534, 4133, 5096, 5603, 6684, 743, 8538, 4785, 7005, 6088, 9734, 3672, 9316, 7241, 8115, 1194, 3224, 7371, 8290, 6326, 3083, 863, 7345, 9686, 6233, 1976, 2191, 7633, 6244, 8076, 9619, 4018, 8652, 2319, 3192, 2033, 2511, 9739, 2831, 5759, 6170, 4019, 768, 9654, 7901, 5076, 1097, 4765, 1580, 8482, 2293, 6474, 7513, 1653, 1637, 2544, 196, 8286, 7542, 7086, 5839, 1342, 5141, 597, 4318, 8060, 7016, 4117, 6207, 8640, 1669, 8308, 4695, 4537, 8664, 7062, 9147, 1603, 9979, 759, 4763, 8434, 3949, 3116, 8756, 3599, 7739, 4393, 1150, 3018, 8901, 7930, 1767, 5992, 5072, 7268, 2231, 5395, 7472, 6364, 9599, 7362, 1322, 8789, 7477, 9178, 2098, 420, 5324, 4276, 6272, 588, 5790, 134, 1717, 7305, 2268, 2448, 7503, 6719, 9617, 6063, 2854, 4616, 7027, 8827, 5183, 986, 614, 3846, 3452, 6111, 8368, 9851, 3067, 64, 7129, 9512, 9096, 1159, 8489, 3841, 186, 9655, 4048, 7378, 875, 6323, 92, 3387, 5763, 6320, 3135, 7892, 1884, 8291, 807, 5047, 6449, 7987, 7183, 283, 1013, 6463, 4512, 8502, 8516, 9449, 5976, 7868, 3481, 1219, 718, 7173, 295, 506, 7708, 9329, 6562, 2236, 4170, 2410, 3833, 8106, 2034, 9612, 3480, 2841, 5014, 6458, 3905, 8082, 5597, 5189, 6371, 1027, 3304, 2417, 8416, 2487, 7655, 2776, 7330, 6917, 9304, 1154, 3158, 7531, 9525, 9167, 4840, 245, 2567, 9355, 8841, 2735, 5114, 3931, 8536, 8393, 4762, 6242, 7279, 4094, 5709, 9430, 6345, 7224, 1279, 8677, 2763, 3722, 3453, 6213, 5710, 5704, 279, 2472, 8928, 3495, 6693, 8162, 6350, 6195, 1424, 6147, 9782, 737, 6501, 7664, 4088, 6563, 5742, 7227, 7338, 6218, 6824, 7965, 7497, 7522, 5600, 7427, 9136, 248, 4160, 3327, 7810, 6006, 3818, 5818, 2233, 1286, 6802, 9314, 1390, 1423, 8384, 3523, 8855, 1102, 7468, 6645, 1951, 2478, 5888, 4899, 352, 2732, 4178, 5432, 3115, 1548, 348, 434, 9738, 898, 7626, 9419, 6071, 482, 4351, 3196, 3063, 4104, 8231, 8494, 8976, 7707, 8120, 8609, 2503, 6512, 4864, 6347, 7216, 9800, 3170, 3680, 3469, 9234, 6390, 4182, 8572, 8412, 9535, 2652, 8662, 503, 3526, 6334, 2717, 2374, 5979, 9984, 9882, 3918, 9613, 9728, 3640, 9125, 5557, 978, 3398, 427, 7823, 2425, 8625, 8807, 5977, 9727, 440, 6330, 5568, 2921, 6916, 377, 4592, 636, 9209, 3824, 655, 448, 356, 2436, 7283, 1956, 6875, 8823, 8929, 4566, 6538, 5105, 669, 5360, 365, 7896, 4325, 3741, 5986, 4352, 8058, 8198, 2481, 3033, 1064, 8528, 4322, 9035, 798, 1599, 9287, 7561, 5948, 6009, 1180, 1075, 7855, 3791, 2458, 4314, 1911, 4618, 9421, 640, 4200, 4725, 7415, 6073, 4952, 7622, 6340, 5420, 5478, 1164, 4651, 1835, 5564, 3297, 8726, 3087, 6305, 8430, 9951, 4970, 7625, 6407, 5949, 9805, 3820, 7751, 3705, 8356, 2114, 3357, 4524, 7263, 19, 2564, 2132, 361, 4931, 5354, 938, 808, 4626, 9942, 1324, 9667, 9, 7583, 3231, 3476, 8035, 8213, 6267, 8603, 8483, 4437, 2734, 2553, 6414, 8310, 6361, 1635, 2955, 6859, 9468, 8459, 1535, 2707, 1024, 5970, 677, 7990, 7528, 8297, 4028, 6603, 3472, 4873, 4334, 93, 2572, 2396, 1022, 177, 9524, 958, 7237, 9906, 7125, 4207, 5064, 1221, 9440, 2539, 6047, 8537, 3803, 7668, 1517, 6294, 5007, 7013, 8276, 925, 5819, 4049, 239, 1741, 7435, 8009, 1020, 1436, 5660, 1501, 3046, 3627, 7844, 7661, 3602, 1243, 3946, 4839, 6588, 3661, 6863, 8214, 9995, 9673, 4014, 262, 9539, 5684, 3397, 6329, 5262, 2693, 7829, 2192, 6902, 5119, 7117, 165, 5486, 7978, 9682, 5231, 7643, 1496, 9325, 2971, 9327, 9433, 2767, 3868, 7328, 75, 5139, 4190, 7024, 4493, 1421, 498, 6154, 817, 7210, 341, 7797, 1590, 5196, 596, 4102, 6010, 9742, 6259, 1538, 108, 3248, 9236, 9846, 8037, 3852, 5694, 4558, 2145, 3043, 9248, 494, 5247, 792, 2934, 5101, 1686, 5805, 95, 8834, 4065, 5077, 3959, 9692, 3714, 2042, 8779, 2782, 8696, 2905, 9708, 9471, 3300, 8843, 7009, 1457, 5345, 1019, 7555, 4386, 6089, 7189, 399, 4155, 8667, 559, 1752, 838, 3682, 6942, 7319, 2271, 2761, 6586, 7689, 1184, 1216, 5444, 9040, 2762, 1578, 9398, 9635, 7358, 9973, 7991, 3054, 5399, 4366, 3275, 7299, 179, 7098, 7341, 6032, 425, 8277, 8563, 696, 9017, 2546, 2079, 4273, 866, 5145, 5405, 7875, 6432, 169, 7623, 9232, 7225, 7618, 4692, 5625, 2681, 2357, 7725, 7460, 6865, 3035, 4516, 6296, 2724, 5099, 260, 5936, 4884, 5679, 449, 2173, 8273, 6728, 9375, 8695, 8776, 3331, 2053, 6482, 4201, 8331, 5048, 2811, 9967, 5837, 4285, 2727, 6852, 664, 9123, 1463, 1883, 2590, 9182, 7675, 7050, 9986, 6279, 9856, 8336, 7841, 5510, 8415, 9541, 4559, 6507, 7523, 4173, 7143, 9550, 4528, 4449, 874, 8027, 9958, 2438, 8889, 7576, 4841, 5870, 1973, 9021, 7105, 3184, 5881, 8246, 9013, 5797, 910, 5148, 859, 2576, 8699, 8464, 8539, 4694, 6000, 4564, 1913, 2951, 5164, 9180, 8858, 114, 8811, 4596, 2086, 8463, 3058, 7203, 8192, 6460, 1749, 8615, 8812, 3022, 9711, 3636, 6069, 9270, 6973, 5370, 648, 9867, 8341, 4924, 208, 6655, 2840, 2218, 3328, 20, 219, 7480, 902, 1385, 363, 1802, 7799, 4369, 1642, 4026, 7231, 3739, 9593, 2322, 5445, 9817, 9369, 9006, 6204, 9993, 7172, 1546, 2995, 2449, 7944, 4715, 8571, 1339, 2142, 5361, 1406, 7066, 142, 2755, 6597, 7584, 489, 8242, 129, 1340, 2161, 2774, 7420, 6053, 3405, 2400, 3435, 4726, 8710, 9110, 5410, 8907, 7519, 3837, 7170, 4224, 7381, 6647, 6093, 5173, 6675, 8339, 4699, 456, 2857, 1671, 9871, 4413, 2378, 8821, 3687, 8136, 4475, 7827, 5972, 7213, 4013, 1876, 2847, 804, 4424, 4644, 7502, 6184, 9079, 51, 3582, 9439, 9495, 4033, 8985, 4761, 778, 5952, 8199, 6383, 4555, 8069, 4514, 9513, 7567, 8990, 2373, 9076, 8111, 9150, 1566, 8110, 4928, 1993, 8724, 1795, 6648, 2333, 8863, 4487, 5608, 1782, 70, 7218, 3249, 3061, 4953, 4732, 4619, 9085, 291, 7913, 8729, 4583, 9844, 1295, 9945, 6479, 7729, 2521, 4166, 3788, 3994, 9193, 5342, 1395, 3323, 4792, 6792, 2434, 3410, 1426, 3360, 1214, 4144, 8440, 7208, 3825, 4167, 5896, 1025, 1587, 3106, 3853, 47, 6157, 4501, 1910, 5319, 148, 9112, 5871, 6529, 52, 4664, 6087, 4590, 5517, 2756, 6468, 176, 2321, 9208, 5465, 4233, 9564, 6966, 3491, 332, 9114, 1557, 9166, 6791, 7099, 1450, 6676, 8982, 7388, 1942, 307, 333, 8360, 5634, 3138, 2257, 5523, 594, 7599, 9953, 909, 7315, 5723, 7451, 2363, 6360, 2938, 9821, 604, 4309, 8708, 8525, 1872, 7763, 611, 8426, 2199, 8239, 5512, 872, 6668, 2752, 1137, 6543, 9687, 538, 2021, 9497, 9109, 6640, 647, 1336, 932, 6526, 461, 1155, 6699, 8578, 752, 7974, 514, 6436, 8038, 9285, 207, 8260, 1010, 164, 8618 ], [ 8656, 4890, 3092, 9368, 5646, 7473, 9541, 6348, 9738, 7271, 8645, 4308, 7508, 785, 7423, 1683, 451, 1198, 5995, 9128, 3223, 4931, 7699, 8242, 1366, 1169, 9008, 1345, 3296, 4679, 1156, 1007, 8134, 603, 9275, 5557, 9490, 7234, 4761, 666, 1492, 9743, 9481, 8501, 1993, 9163, 4277, 6203, 3879, 746, 1578, 6860, 4836, 576, 5048, 696, 3891, 8820, 4265, 532, 286, 1810, 3404, 5692, 1512, 9431, 8587, 1672, 1977, 9287, 3021, 2795, 4969, 8350, 8103, 9954, 5496, 8506, 1760, 656, 9554, 1513, 5194, 8380, 5116, 4734, 1456, 4512, 3182, 6691, 1205, 717, 6174, 9147, 3168, 245, 8451, 3457, 1909, 3093, 9409, 8244, 6435, 9241, 726, 8791, 612, 1026, 3249, 4460, 5223, 9841, 2938, 8015, 8980, 174, 1618, 2311, 522, 5025, 9280, 5681, 484, 2332, 3400, 6939, 5347, 6283, 1689, 1426, 4701, 6239, 2916, 1451, 1035, 1095, 764, 2965, 1133, 1516, 505, 1719, 8613, 1507, 4628, 3759, 2993, 8206, 5054, 6863, 8891, 463, 8180, 4817, 7071, 5098, 6344, 2120, 7644, 3134, 8437, 3890, 8495, 7197, 2568, 9652, 1933, 2123, 9374, 2362, 2640, 355, 9778, 9100, 168, 2472, 6339, 3446, 8919, 194, 1824, 9119, 4647, 2731, 1831, 4451, 9056, 7562, 7347, 7083, 1389, 1715, 6879, 7422, 716, 1154, 6699, 797, 5184, 7502, 5059, 5268, 1767, 3651, 8906, 6162, 2826, 7366, 4790, 4271, 9880, 8400, 5390, 4514, 6954, 8514, 8312, 2747, 7099, 7207, 2392, 5943, 1942, 2982, 1276, 5671, 9564, 4518, 4739, 2775, 7720, 6741, 1747, 8817, 5868, 672, 1037, 858, 8472, 4795, 3708, 813, 6926, 7553, 6776, 8157, 9168, 4299, 1870, 2000, 4700, 9115, 5555, 1377, 7997, 1771, 2205, 673, 5571, 9600, 4078, 8282, 4922, 4621, 3427, 353, 4533, 6118, 5493, 7062, 9131, 7507, 2369, 7565, 3492, 5604, 181, 7994, 2194, 4161, 8826, 1160, 6581, 8881, 2704, 5767, 5890, 4511, 8433, 7927, 169, 6947, 7064, 8884, 2091, 580, 5535, 9580, 2748, 3099, 8262, 9438, 964, 6524, 6369, 6711, 5297, 6130, 4932, 8295, 1277, 1912, 7904, 5769, 6698, 5405, 320, 2701, 8623, 4231, 5701, 5759, 5142, 8562, 5217, 8423, 7340, 3868, 3154, 3789, 8720, 1238, 2393, 9792, 7164, 1536, 7857, 8607, 5713, 3924, 3525, 8162, 3142, 3460, 8420, 6080, 7872, 7986, 9347, 3905, 9691, 307, 7280, 3114, 6070, 4505, 8910, 7681, 3011, 2859, 1851, 3689, 5172, 969, 5881, 680, 1344, 8973, 9781, 6446, 9463, 3712, 9712, 3866, 1338, 201, 5622, 9376, 3413, 7737, 2751, 7316, 6160, 5926, 9898, 77, 829, 3221, 1088, 9587, 8639, 5608, 5215, 54, 5921, 9639, 8267, 5505, 1881, 9624, 1057, 4592, 3762, 2926, 4494, 9283, 3825, 7317, 8622, 4399, 5078, 2299, 1502, 2340, 6086, 5889, 7298, 2031, 6958, 5768, 2013, 3552, 3783, 1943, 278, 8810, 827, 2173, 434, 150, 1318, 4959, 6991, 7722, 5551, 5599, 3173, 7579, 9698, 1626, 2129, 6772, 6490, 1383, 2453, 7093, 2680, 8971, 6393, 5084, 4633, 1748, 1926, 9831, 8510, 9904, 6112, 814, 7964, 3241, 4608, 7329, 2734, 2950, 3402, 4464, 5664, 176, 1224, 5161, 4414, 4361, 2333, 751, 9780, 3329, 5895, 4205, 6632, 8747, 8227, 5776, 6845, 5502, 8055, 6799, 549, 5214, 3280, 9265, 2462, 4407, 460, 4552, 1262, 6266, 3693, 1787, 9836, 6394, 5055, 9823, 1113, 3565, 9417, 699, 9858, 6098, 5605, 9809, 1910, 8230, 6887, 9185, 2198, 9971, 4178, 5378, 7509, 2337, 7515, 9207, 9022, 4201, 5447, 9517, 7575, 8, 2627, 2874, 600, 1189, 7764, 2461, 6724, 3191, 6527, 5485, 8175, 6792, 1875, 788, 2925, 4765, 4839, 7885, 3396, 8333, 8389, 5359, 7595, 3044, 398, 8632, 4698, 8340, 7001, 8301, 2760, 9013, 8850, 3453, 4640, 5486, 2271, 39, 6123, 94, 6729, 1382, 9497, 5199, 9555, 1937, 3392, 8821, 9664, 9866, 5155, 5534, 3071, 2012, 602, 5218, 2315, 3673, 4346, 4891, 1218, 1165, 2329, 4018, 8469, 8968, 5556, 1854, 6336, 493, 3950, 2872, 1669, 5771, 148, 5930, 6470, 4896, 8376, 4017, 8941, 4706, 3213, 92, 7717, 6254, 6467, 7637, 1497, 7098, 8418, 621, 4627, 753, 8565, 8738, 369, 6577, 5393, 4094, 6748, 2221, 7664, 5639, 3705, 2889, 534, 19, 5683, 2511, 9421, 6756, 2018, 6821, 6576, 1331, 7532, 3212, 9470, 1534, 3298, 8648, 287, 771, 206, 3476, 4971, 6865, 8766, 9074, 2871, 7266, 4255, 8967, 5379, 3613, 5257, 423, 9384, 870, 9978, 4015, 257, 5869, 784, 8404, 940, 2361, 4395, 4239, 2702, 2552, 3952, 9637, 942, 3873, 7456, 5125, 7852, 7580, 4153, 868, 2182, 9152, 8415, 9930, 4523, 395, 1916, 3638, 996, 9790, 5022, 7388, 9082, 8603, 3027, 9317, 344, 9622, 8046, 7814, 105, 3113, 6120, 5640, 4445, 6313, 7748, 8013, 391, 8146, 7527, 6615, 3750, 8962, 1381, 8834, 5577, 9123, 4853, 1564, 6102, 1413, 6864, 8815, 824, 5060, 2558, 7259, 1455, 1712, 6564, 9958, 4605, 6811, 6812, 6541, 7603, 3619, 1759, 9403, 6138, 2138, 7137, 6560, 6686, 7833, 8785, 2821, 7556, 5684, 1176, 2984, 7439, 2540, 3675, 8665, 9906, 5742, 8650, 2899, 490, 5376, 6678, 2858, 5031, 6881, 2320, 6412, 9052, 7675, 8320, 5727, 4380, 5763, 8247, 7809, 6173, 2967, 3110, 7540, 1240, 3089, 9873, 3416, 5366, 8070, 7588, 4186, 6109, 5421, 5821, 9920, 1485, 8814, 4934, 9182, 6803, 7190, 5438, 1058, 9181, 4774, 3052, 3311, 3938, 1886, 6465, 3174, 7929, 1622, 98, 1068, 4651, 6251, 8289, 1004, 4657, 7969, 7205, 2452, 7335, 1195, 3097, 4296, 1359, 6351, 9887, 4819, 5904, 6116, 2961, 3374, 7056, 1201, 5830, 5810, 7920, 9682, 1969, 4093, 3621, 730, 7252, 9926, 9311, 9838, 4156, 134, 8948, 3855, 2248, 7300, 6322, 408, 8855, 7659, 4327, 4707, 1529, 7138, 1839, 5183, 2056, 8357, 7832, 686, 2057, 3521, 796, 8870, 5306, 9822, 5945, 277, 2761, 7795, 1684, 1579, 333, 9359, 1162, 4242, 7310, 7418, 2930, 6655, 9489, 7044, 8186, 1043, 7157, 8050, 4966, 4177, 1541, 2170, 9149, 4065, 1581, 2548, 2762, 5716, 7965, 727, 507, 3643, 7727, 6349, 5691, 7674, 8630, 6836, 3966, 5567, 8098, 2171, 4954, 9316, 8148, 6038, 4952, 5335, 5591, 4219, 7525, 1036, 2330, 2777, 9676, 2934, 9246, 2041, 982, 1247, 9716, 2151, 4249, 5113, 5918, 9071, 6701, 1953, 7765, 740, 9602, 2994, 7661, 3505, 6092, 7844, 7450, 3587, 4732, 891, 2146, 5948, 4807, 6157, 370, 2954, 9931, 5321, 4269, 5756, 3523, 1477, 385, 6152, 6543, 1107, 4457, 4763, 1151, 8359, 2623, 6850, 1454, 2510, 5338, 5003, 4146, 6083, 4779, 7838, 5533, 3286, 523, 5039, 8369, 5596, 8019, 5247, 8704, 2430, 7843, 8213, 6611, 3605, 8058, 2885, 5037, 1592, 9886, 9401, 1450, 9018, 708, 2193, 1271, 6019, 3983, 8330, 7435, 506, 1902, 9183, 6969, 2080, 393, 3574, 5409, 3033, 1148, 4387, 2376, 7276, 6979, 3544, 4859, 6602, 4199, 9655, 8938, 5580, 2085, 70, 6862, 6380, 8006, 288, 8489, 7824, 7555, 9, 800, 6191, 112, 2366, 9371, 8342, 4666, 6480, 6662, 6481, 5149, 6536, 4238, 188, 5903, 1467, 8964, 5531, 4956, 3834, 2780, 582, 7740, 2793, 9215, 8503, 8461, 4507, 6398, 4302, 5788, 4848, 7303, 4483, 2033, 9210, 2429, 8115, 6212, 1166, 5465, 4822, 443, 1296, 2811, 6956, 9307, 4545, 973, 405, 3968, 2219, 6415, 6280, 2673, 4960, 9381, 7154, 9936, 5046, 3435, 1433, 5548, 5391, 6886, 9154, 7285, 3611, 8658, 184, 2291, 4056, 496, 1249, 4339, 7084, 821, 3930, 3323, 6338, 6511, 5367, 3488, 9700, 2395, 4759, 3666, 3117, 409, 2797, 5855, 7701, 3560, 5167, 4748, 6187, 5518, 354, 6269, 254, 2477, 7066, 6585, 6785, 2582, 4374, 3339, 1877, 5243, 1314, 4768, 6489, 3227, 748, 45, 4415, 635, 2238, 9068, 6955, 2002, 1958, 6096, 3555, 2636, 3156, 2828, 9336, 6525, 6644, 2935, 4857, 8416, 224, 4013, 8550, 4992, 6719, 2224, 6015, 1661, 5259, 2210, 4935, 7305, 6250, 5245, 3589, 8200, 7060, 7666, 114, 9249, 5615, 8102, 5807, 3042, 259, 157, 678, 6055, 5063, 6105, 5805, 7444, 8833, 1805, 8094, 9798, 5839, 7348, 8706, 7612, 56, 674, 8831, 995, 8084, 7315, 7230, 9882, 903, 3852, 1123, 3951, 2335, 2414, 6000, 1635, 4687, 3243, 2046, 2371, 5697, 7018, 2406, 1100, 2301, 2940, 4600, 1601, 6795, 6650, 9445, 3758, 6032, 4160, 8088, 8143, 1421, 3695, 1540, 6443, 5585, 6565, 8540, 1260, 2593, 4369, 9083, 956, 2825, 8717, 2805, 8794, 8744, 599, 4894, 551, 3230, 9094, 9993, 325, 6563, 3385, 9744, 2070, 8110, 4548, 7174, 7211, 5374, 8384, 9757, 4051, 3293, 1228, 8520, 4240, 2774, 5597, 7431, 5996, 1990, 3819, 7572, 1168, 5255, 9644, 8695, 3606, 5559, 7275, 7734, 7108, 7730, 9099, 683, 8780, 8725, 6209, 4409, 2861, 2324, 4200, 5085, 3310, 6562, 527, 6817, 5288, 3300, 7169, 5648, 9187, 9848, 9125, 6959, 9847, 8059, 518, 4824, 147, 2213, 846, 596, 2370, 2241, 2256, 2478, 1353, 5395, 3959, 2996, 4190, 1410, 3279, 9548, 3727, 6363, 2331, 8188, 5258, 1227, 9695, 2442, 9305, 1654, 9786, 4632, 6712, 7171, 9537, 1741, 9137, 3604, 8921, 2202, 2514, 3553, 1944, 7155, 7845, 767, 1555, 2611, 8220, 6851, 2162, 3106, 7131, 1145, 5096, 3697, 3506, 7355, 3658, 2055, 2165, 2683, 7192, 8761, 6013, 4111, 1766, 6589, 4036, 8171, 6440, 5136, 4776, 3949, 4626, 3490, 1700, 6387, 9696, 1033, 1730, 1615, 5319, 2964, 1537, 6459, 662, 7887, 1052, 9876, 8777, 2860, 5211, 5030, 5552, 3916, 3333, 6791, 8199, 8204, 6081, 1139, 1679, 4506, 7792, 5693, 9522, 5157, 3335, 2726, 5919, 8217, 1591, 890, 1286, 5112, 9019, 7517, 294, 2460, 4027, 6091, 1155, 6342, 4908, 2300, 8931, 649, 2445, 4686, 2464, 9406, 755, 363, 9679, 8500, 6570, 542, 3617, 9141, 6804, 1658, 7463, 458, 7767, 4568, 9281, 6952, 362, 1949, 9195, 905, 4571, 7012, 1054, 5494, 7962, 6479, 7118, 2208, 6861, 6384, 7564, 4496, 2323, 4569, 1552, 1386, 5509, 8265, 6213, 9839, 5809, 7221, 9872, 6750, 5977, 111, 3965, 9907, 6642, 7672, 8045, 9279, 2481, 744, 7013, 8438, 850, 9547, 1403, 3104, 3955, 9860, 8081, 1384, 4797, 6626, 5700, 1089, 7667, 8077, 2690, 3094, 9095, 9458, 8076, 9472, 1543, 9208, 4472, 4723, 4924, 5114, 3974, 8635, 3709, 7474, 8644, 1850, 6382, 3874, 8455, 1209, 9387, 4720, 1105, 9939, 8152, 6008, 583, 1306, 8053, 4727, 5732, 7047, 3703, 5880, 1322, 8288, 7055, 6493, 6568, 1657, 7244, 365, 7774, 8940, 8992, 2772, 9900, 5720, 9414, 1707, 5801, 5363, 4619, 5699, 1995, 7891, 9546, 30, 4593, 8228, 7485, 9049, 421, 5885, 7584, 9290, 7608, 5419, 5799, 1882, 3766, 5951, 1270, 9234, 5524, 8147, 8170, 4004, 7426, 1765, 5820, 5239, 5526, 3607, 4468, 8862, 9628, 2750, 4603, 9513, 6638, 7349, 2482, 731, 8746, 5412, 1976, 6899, 8319, 7529, 3232, 9232, 8739, 252, 2032, 6675, 476, 3131, 2307, 5263, 500, 8095, 4227, 8334, 9709, 9258, 6716, 7539, 4653, 4120, 9651, 1297, 8703, 6975, 2087, 3176, 1178, 2941, 7724, 280, 2813, 4609, 3069, 4975, 8526, 2200, 9724, 2641, 292, 6385, 1789, 7476, 8998, 5731, 3055, 6147, 9200, 5329, 5736, 5553, 9325, 8080, 376, 9965, 42, 2095, 5668, 4189, 1229, 8699, 2136, 8421, 1034, 4557, 5187, 3790, 3098, 4850, 4041, 9769, 2892, 2058, 6475, 3420, 8190, 9981, 4263, 6431, 4737, 7518, 5102, 6390, 8351, 4179, 1558, 2513, 3599, 3550, 339, 8844, 6464, 6548, 85, 9927, 18, 9432, 4304, 9055, 5527, 6624, 1884, 3494, 6824, 6492, 3360, 4482, 9427, 3231, 2384, 7614, 8370, 1894, 51, 1187, 5354, 4810, 3860, 6170, 5280, 6388, 6501, 4980, 4669, 8047, 132, 2740, 2262, 7500, 9354, 7130, 7319, 9771, 3835, 5653, 5665, 5426, 8390, 8177, 1711, 5471, 1324, 5840, 2784, 8619, 293, 6878, 9636, 17, 2676, 2310, 608, 7019, 926, 279, 3390, 8903, 193, 9186, 6352, 5992, 2448, 4477, 66, 4165, 9292, 6920, 4800, 7846, 7849, 9864, 4897, 5012, 7341, 1464, 9370, 5590, 7421, 8885, 3, 4437, 8026, 8641, 2974, 605, 3669, 3711, 817, 4668, 2467, 7333, 4267, 9678, 9155, 1124, 3971, 8675, 9720, 3809, 4121, 1084, 309, 9423, 3704, 7812, 6819, 7596, 7676, 7979, 7890, 2236, 5481, 9114, 4583, 7647, 9888, 2092, 9390, 7934, 8583, 4138, 4544, 7189, 7067, 6827, 2348, 685, 8535, 6453, 9088, 1903, 2980, 100, 3336, 23, 1416, 6970, 1282, 472, 7059, 936, 8924, 2456, 2135, 2528, 118, 2629, 7228, 5246, 5738, 8246, 5151, 3667, 6355, 7822, 3465, 282, 4997, 6530, 553, 4203, 3090, 9788, 2598, 8986, 2028, 9851, 2201, 9177, 2852, 6858, 101, 3899, 4097, 359, 7776, 3337, 5440, 327, 4708, 8129, 9057, 6578, 2247, 1793, 6987, 7451, 8669, 4427, 3365, 3681, 6253, 7263, 7236, 1699, 8274, 6113, 4331, 5432, 6944, 7635, 8754, 6410, 8858, 7922, 5236, 7375, 6828, 76, 3687, 8847, 7046, 609, 6558, 2011, 2658, 1116, 2098, 7592, 4661, 7482, 991, 7990, 6569, 6640, 780, 2233, 7246, 6448, 3934, 5445, 6341, 2609, 8216, 2093, 1521, 2497, 8828, 7459, 3455, 8107, 8181, 4650, 3935, 2422, 871, 8775, 3992, 2350, 3779, 9027, 4596, 707, 8169, 6423, 2518, 1027, 2580, 9941, 661, 949, 4498, 6674, 8492, 2069, 8496, 210, 2450, 7411, 4405, 8592, 8497, 5360, 5381, 8392, 6302, 3399, 2062, 7350, 9493, 3849, 7736, 509, 5411, 5623, 5627, 9758, 7478, 774, 3824, 1065, 2154, 4691, 8627, 4535, 9563, 9937, 153, 3197, 2351, 4642, 7505, 3332 ], [ 46, 3375, 262, 9429, 897, 3474, 5728, 2534, 6734, 4972, 8529, 3601, 1923, 3304, 7519, 462, 1704, 2581, 8861, 4769, 8879, 7198, 4527, 4128, 4634, 5066, 5442, 5601, 5254, 6434, 6429, 1778, 9837, 517, 4386, 8087, 1064, 1316, 312, 2870, 3148, 752, 5783, 5365, 8447, 5004, 2803, 9955, 7299, 1437, 479, 2854, 4365, 5677, 9144, 7649, 5017, 2976, 809, 1266, 790, 1041, 2304, 8037, 7407, 59, 9895, 425, 9161, 9853, 3917, 283, 4439, 6478, 3373, 1248, 8174, 7551, 7807, 7566, 3198, 4982, 2466, 8667, 6598, 919, 5437, 319, 559, 1954, 5201, 2493, 7442, 5299, 3289, 3510, 1136, 1665, 7558, 7415, 6627, 4073, 4815, 8362, 9224, 2921, 5147, 3662, 166, 4351, 2613, 7132, 8337, 5619, 6898, 9407, 5436, 6232, 4252, 9948, 5093, 8902, 3186, 8335, 5859, 7634, 7437, 427, 6237, 6217, 80, 5309, 1444, 2345, 2263, 2596, 6068, 20, 4089, 8264, 9479, 2632, 6317, 3275, 8937, 8166, 6660, 9550, 6397, 9662, 9361, 3883, 6630, 4764, 367, 691, 4163, 3898, 9339, 4835, 7471, 1479, 9986, 8360, 7497, 3807, 1173, 7049, 4618, 1947, 5057, 6211, 3977, 558, 4745, 2508, 7973, 4247, 2512, 7522, 3138, 3801, 7090, 1128, 3532, 537, 8920, 4175, 5463, 4870, 4135, 5439, 3135, 7738, 5956, 8928, 6528, 8976, 5936, 8099, 2096, 719, 6714, 5087, 4938, 4521, 1183, 550, 3741, 8160, 7728, 72, 7416, 5137, 6667, 2339, 8114, 2942, 9004, 2159, 8453, 5107, 6246, 1509, 9184, 8564, 9932, 1756, 9262, 2407, 4864, 6932, 9136, 6682, 8533, 5725, 8521, 7438, 5514, 3447, 172, 8442, 1841, 1786, 3508, 1828, 4473, 6909, 9364, 2284, 9189, 4867, 1571, 4256, 5582, 1641, 7374, 5794, 7841, 5115, 9164, 7707, 2983, 9103, 2998, 5901, 9835, 4709, 8493, 3283, 4926, 8092, 6468, 9488, 9671, 9227, 3076, 6648, 1050, 1674, 2109, 4816, 1876, 9070, 2577, 4716, 6263, 403, 9172, 7441, 9942, 5856, 1744, 561, 2559, 8198, 7229, 684, 4861, 823, 2294, 3843, 2479, 7808, 7397, 8559, 2048, 6708, 9466, 3880, 1484, 5038, 1268, 4542, 1836, 5220, 9422, 1022, 2316, 4095, 1303, 7956, 4357, 5456, 2434, 8507, 9868, 285, 8926, 8010, 5573, 6904, 8886, 3450, 381, 4941, 7976, 5117, 5313, 863, 6823, 8195, 1114, 5441, 124, 2556, 2040, 8135, 82, 3172, 5334, 2696, 4317, 7481, 3498, 1457, 2338, 6759, 6592, 2666, 8558, 4840, 433, 7405, 9565, 5682, 3082, 7342, 7710, 7709, 1340, 2834, 567, 6482, 3854, 1985, 6737, 9574, 3178, 881, 4524, 7, 1468, 4492, 6256, 1208, 1466, 6043, 4973, 1078, 7865, 5789, 3530, 341, 3507, 4404, 6888, 5294, 4141, 4999, 8609, 4558, 4100, 8798, 3548, 3633, 9983, 786, 7851, 6720, 6510, 3209, 387, 2555, 6323, 1504, 7081, 6990, 5873, 8990, 29, 9989, 3887, 930, 1182, 9782, 5070, 4323, 9627, 497, 7888, 5163, 8621, 6215, 757, 3338, 815, 1630, 178, 5389, 8781, 8573, 7200, 4350, 9143, 6192, 2835, 2705, 9377, 4555, 2438, 3765, 5474, 4674, 9514, 8845, 4541, 4246, 3437, 8466, 1900, 2971, 5865, 1709, 6981, 9597, 1396, 9902, 8829, 1797, 8809, 3072, 591, 6024, 585, 7129, 129, 9962, 1226, 3170, 1487, 8074, 2820, 4862, 7708, 3882, 1834, 5774, 2819, 4635, 9721, 7467, 1436, 722, 2876, 6623, 8277, 6583, 9598, 2088, 9763, 9253, 3906, 3307, 3799, 9360, 2134, 5429, 4796, 335, 3588, 9050, 6983, 2441, 2427, 2756, 5980, 8625, 6186, 9674, 4842, 9966, 6367, 3837, 3470, 9086, 6449, 7751, 9039, 9610, 5812, 4164, 7361, 7031, 3784, 3194, 3551, 8824, 5631, 2428, 1207, 4814, 6934, 5171, 9223, 652, 6165, 4543, 1473, 7919, 994, 1899, 7472, 5906, 1110, 9500, 141, 869, 9985, 8961, 6950, 4081, 4586, 1989, 5914, 4127, 3649, 6194, 1098, 7406, 9134, 58, 4803, 3503, 8250, 9638, 1846, 6267, 2635, 3220, 6832, 2476, 4431, 1045, 340, 8569, 4889, 4352, 8033, 4623, 2599, 8294, 6943, 9089, 2661, 265, 9613, 2842, 8056, 1263, 883, 13, 988, 1919, 5607, 4923, 4326, 714, 3169, 4902, 6089, 7925, 876, 1925, 6740, 2838, 5076, 1219, 9269, 2794, 6293, 4643, 5803, 9408, 1917, 2798, 3483, 1621, 6243, 6299, 4962, 4469, 8178, 2789, 6760, 6964, 5629, 8823, 1443, 6533, 9533, 1408, 6189, 156, 513, 1019, 1320, 1840, 7181, 7089, 7901, 2500, 693, 2827, 5277, 9471, 9296, 5014, 9165, 9756, 2341, 677, 2157, 4055, 3861, 8628, 947, 428, 1496, 9704, 617, 6516, 4385, 3595, 1003, 5670, 8874, 2742, 5222, 3115, 1420, 7643, 1222, 1796, 5293, 9499, 1975, 3141, 2172, 7984, 9814, 1475, 2944, 7617, 525, 1143, 3284, 3103, 9096, 3414, 6359, 5679, 1194, 4099, 6680, 9420, 3013, 8731, 8276, 1633, 9929, 1616, 5032, 5570, 7581, 139, 8476, 5491, 1911, 8426, 8772, 3255, 4692, 1930, 1115, 5170, 2863, 4994, 1968, 6822, 3155, 3499, 7869, 3294, 374, 4597, 4715, 1545, 1997, 3660, 952, 9969, 4283, 2992, 267, 5581, 5181, 8593, 6659, 3235, 4320, 7911, 9334, 3853, 3876, 5569, 3810, 3023, 9536, 819, 5304, 2645, 3008, 8145, 8935, 2932, 4781, 6670, 5710, 5695, 1491, 6150, 1213, 6056, 9221, 2738, 1821, 6128, 9553, 2531, 6149, 1438, 9236, 5882, 2413, 3914, 7159, 6797, 2229, 9373, 4126, 284, 5818, 4119, 1548, 8806, 6763, 4301, 2086, 4805, 8304, 4426, 7796, 5256, 2681, 3073, 574, 1049, 6303, 5130, 6514, 192, 1599, 115, 8446, 7799, 1906, 2471, 3985, 8773, 1860, 6301, 2840, 5537, 4599, 1562, 8122, 4872, 2287, 99, 3826, 8315, 1250, 1855, 8441, 6757, 8156, 4575, 3547, 3394, 5512, 5672, 6073, 2612, 2249, 7668, 8397, 7068, 3272, 7974, 8259, 1988, 1125, 8516, 604, 8436, 3473, 7673, 9294, 5510, 6148, 2389, 9492, 7483, 3063, 3670, 3119, 3100, 6953, 8339, 8602, 7959, 3334, 7383, 6034, 878, 9491, 9162, 6154, 8266, 8605, 6515, 1273, 8210, 7101, 1634, 601, 5722, 6411, 3358, 3166, 1583, 2773, 8431, 2132, 7985, 1295, 6286, 6307, 6104, 1157, 7040, 3517, 163, 4458, 8121, 1572, 7876, 1717, 6829, 7373, 9604, 8727, 4977, 1302, 8997, 6703, 1792, 8313, 3978, 9762, 4845, 9442, 36, 7203, 3921, 4444, 7626, 6813, 4410, 9648, 7989, 5965, 8465, 3948, 7628, 271, 5649, 4829, 7265, 5888, 4048, 8987, 1407, 8670, 5503, 9233, 7591, 7711, 4049, 9618, 3567, 406, 1021, 9402, 8960, 7073, 231, 5252, 380, 7741, 3654, 3624, 2288, 432, 253, 3393, 9446, 5414, 1047, 2722, 818, 1374, 8379, 7605, 2044, 5917, 7208, 1462, 9150, 5327, 3482, 957, 3171, 5618, 7005, 3569, 6854, 5418, 6441, 1653, 1188, 4347, 6225, 9505, 3024, 4702, 9299, 87, 2439, 5139, 3571, 7003, 6146, 3265, 2764, 9874, 3639, 9380, 1646, 9357, 5213, 9235, 9135, 4515, 9225, 5459, 2226, 3007, 8854, 8016, 8788, 732, 9397, 4338, 4918, 5909, 3864, 3144, 8346, 274, 3001, 8471, 6985, 4916, 7050, 2670, 8996, 4884, 5961, 3065, 2743, 9693, 1419, 3137, 3411, 1503, 5005, 4225, 2127, 6378, 145, 8113, 8275, 702, 2484, 9727, 6062, 9729, 5781, 2978, 4021, 1364, 8363, 7957, 3201, 3388, 6308, 9174, 7615, 1801, 1355, 6122, 1531, 2164, 1325, 735, 577, 4570, 9668, 9459, 5278, 5673, 8185, 4487, 3926, 8681, 5972, 4273, 1986, 8075, 5244, 1483, 3676, 1800, 4729, 95, 573, 7894, 207, 6635, 6768, 8004, 9107, 9690, 8253, 2360, 9960, 6389, 1775, 2237, 1577, 2610, 1991, 5947, 233, 8599, 916, 8851, 4773, 2987, 7763, 4740, 3380, 5175, 8570, 5680, 1430, 2483, 2689, 1060, 9670, 8662, 7778, 2275, 7079, 8836, 7662, 6450, 4443, 8014, 7619, 8132, 1406, 7057, 8023, 804, 6202, 2358, 7933, 9171, 7607, 7409, 8218, 6586, 9090, 5253, 4694, 4011, 6518, 1181, 7618, 9544, 9979, 888, 8349, 2169, 7185, 9740, 4393, 7457, 440, 9606, 2373, 2137, 1096, 3516, 7879, 9773, 9274, 4886, 2845, 1459, 6047, 6488, 1309, 7593, 3939, 8890, 2695, 5841, 3014, 4945, 9653, 3439, 7943, 8993, 9840, 1375, 3290, 8043, 2230, 86, 3193, 5108, 6144, 6677, 6171, 7033, 9085, 5726, 4413, 6087, 1424, 6326, 5041, 2900, 6842, 4579, 7713, 9000, 9818, 6023, 4820, 977, 2664, 3017, 5843, 6784, 1524, 9951, 7726, 8445, 5169, 8226, 1981, 1025, 2893, 825, 3609, 8786, 8302, 5123, 2535, 9456, 1308, 3770, 7408, 289, 7655, 396, 1553, 7360, 9567, 8484, 2686, 3259, 1281, 8770, 3775, 5715, 5946, 3139, 6110, 5848, 6654, 3980, 9543, 948, 7465, 8905, 9014, 7121, 6463, 3585, 9218, 9264, 2530, 6884, 6588, 5189, 9301, 4400, 8568, 7468, 1952, 5058, 2643, 3462, 6810, 8765, 5564, 4958, 3258, 1773, 2490, 4590, 6153, 1623, 4396, 4309, 4904, 568, 8677, 2107, 3189, 137, 4849, 4210, 4196, 1815, 2077, 2988, 5584, 9127, 9649, 4130, 3724, 4637, 7000, 4682, 5897, 4672, 0, 681, 6513, 7491, 1637, 8063, 1073, 7025, 3163, 1404, 8243, 8126, 9569, 4332, 8401, 2741, 3003, 7753, 3836, 3773, 802, 9132, 1898, 4125, 4652, 6995, 4211, 1962, 3164, 5497, 9257, 8399, 803, 734, 6915, 8793, 4785, 781, 6916, 8532, 8643, 5387, 7002, 5043, 9542, 3424, 6021, 1040, 9199, 2259, 4057, 2578, 1422, 8690, 5797, 836, 263, 9746, 2519, 7449, 8167, 7908, 6258, 8450, 6321, 7842, 2365, 5550, 646, 4942, 7226, 4333, 1848, 6037, 9785, 4193, 6360, 9469, 9944, 9284, 833, 4394, 3710, 6135, 3246, 7136, 6901, 9278, 6580, 6807, 9467, 4744, 123, 7658, 8138, 5431, 1829, 430, 167, 8718, 2094, 311, 6405, 8371, 7145, 1551, 8711, 8012, 6236, 9871, 7096, 2250, 9899, 5795, 8419, 8361, 186, 7598, 4502, 8916, 8034, 9584, 8827, 6998, 3149, 4091, 7042, 7693, 5949, 3359, 5985, 5747, 3795, 6357, 6275, 4919, 5470, 1556, 7835, 1827, 6305, 1441, 4278, 5083, 9579, 8838, 5813, 198, 5884, 9687, 6260, 6476, 7652, 6373, 7107, 3262, 5707, 234, 3625, 1132, 9363, 3792, 4943, 2126, 1508, 8663, 3080, 5238, 9440, 8475, 4685, 8251, 6610, 4639, 5188, 1327, 7537, 4911, 7559, 7880, 3805, 3593, 8435, 8238, 4786, 1453, 2833, 2887, 3931, 7445, 2711, 2416, 4564, 6537, 4758, 8561, 3961, 2969, 7669, 5908, 2257, 9829, 9410, 9901, 1294, 5477, 6131, 467, 3218, 8165, 7993, 8721, 3352, 1163, 7290, 4863, 2240, 2737, 981, 705, 4188, 6767, 5879, 9519, 5065, 3053, 7294, 8025, 516, 131, 204, 2625, 7268, 6426, 6566, 4809, 9813, 2374, 7334, 5413, 5234, 3051, 695, 668, 4920, 6432, 7322, 7328, 4983, 7867, 3862, 1676, 4028, 2873, 337, 1066, 6223, 6604, 5182, 644, 1721, 5838, 6143, 5705, 9271, 4578, 7410, 6365, 9634, 7621, 1559, 5780, 8192, 1808, 3301, 508, 3133, 8728, 1859, 4801, 8434, 1397, 3016, 1743, 5166, 9388, 5563, 9302, 3266, 7660, 5950, 5982, 9468, 6775, 8984, 1215, 1753, 155, 9126, 7718, 8710, 2656, 9770, 8284, 6180, 4479, 7858, 8958, 9538, 8792, 6103, 3130, 9069, 4071, 1659, 5656, 7945, 832, 3091, 8474, 3911, 9640, 9631, 1593, 1108, 3627, 9231, 2561, 3536, 4798, 4490, 4676, 3851, 572, 1897, 9362, 566, 8869, 4067, 1448, 4214, 2966, 22, 5120, 7123, 6039, 5086, 4136, 5449, 5094, 5688, 9945, 6249, 2831, 9252, 8769, 8955, 2075, 6912, 7308, 9084, 3452, 7640, 7489, 4377, 6567, 5484, 9023, 636, 7878, 5198, 9196, 6334, 4530, 2412, 9462, 1099, 1376, 3566, 1931, 2692, 9205, 2841, 9741, 3572, 6717, 6787, 5191, 5761, 2781, 3192, 8988, 4991, 9862, 6697, 2631, 119, 1525, 264, 55, 375, 4717, 5109, 6022, 5940, 447, 3012, 1093, 7785, 4711, 5081, 202, 9030, 2218, 6517, 8290, 5272, 1739, 2485, 4695, 2850, 2829, 4852, 6507, 5541, 4293, 6917, 7528, 3813, 6051, 1660, 5606, 9787, 4606, 3436, 9890, 2305, 3366, 6442, 838, 1478, 5122, 4375, 569, 2114, 1690, 3735, 1546, 1291, 6838, 7941, 1784, 5364, 9811, 928, 5371, 4532, 1519, 444, 5603, 9065, 9749, 8511, 6500, 3478, 461, 1606, 5674, 618, 7745, 6999, 4488, 4222, 3857, 9783, 1770, 1301, 6584, 9735, 7238, 7117, 1892, 5554, 5702, 390, 5625, 338, 8999, 4677, 1164, 7874, 5862, 6796, 1000, 5489, 407, 968, 5833, 8543, 3451, 6484, 9350, 2936, 8111, 9015, 7837, 3944, 2920, 5362, 8856, 9276, 4681, 6078, 9608, 5757, 7926, 4718, 907, 2203, 1907, 196, 9609, 9705, 8692, 3240, 4195, 9110, 6636, 7931, 1979, 3597, 8822, 5939, 3143, 6330, 8328, 2394, 2587, 4223, 2972, 7443, 723, 9611, 4526, 837, 4058, 9626, 7479, 4546, 1915, 2963, 3832, 1675, 6599, 410, 5349, 7114, 4757, 3725, 9952, 9578, 1694, 3432, 1714, 226, 2958, 3920, 7746, 3067, 2270, 2687, 397, 4026, 622, 7436, 9379, 2545, 4117, 8364, 7578, 1269, 4173, 6695, 6379, 6474, 5400, 8090, 4206, 2567, 1842, 4964, 6345, 7685, 3372, 1350, 7196, 5543, 7035, 4743, 9531, 9894, 9342, 8539, 571, 9747, 9312, 125, 6234, 3842, 2642, 2924, 9256, 2251, 6710, 2898, 8119, 4463, 3066, 4194, 4076, 3777, 3975, 5602, 971, 6117, 5850, 9909, 1144, 246, 8804, 8978, 102, 7250, 9263, 1010, 1469, 8155, 3068, 2411, 8347, 614, 4052, 9528, 7949, 9575, 5508, 5538, 7924, 3206, 7864, 2572, 9109, 639, 152, 4336, 4868, 4454, 8487, 4866, 8857, 9795, 1090, 5129, 3686, 7810, 598, 6324, 7624, 2049, 3167, 8374, 9701, 3216, 3210, 7162, 960, 6545, 8683, 5318, 6971, 2167, 4167, 1602, 6354, 8413, 4937, 2539, 6723, 1357, 4282, 7267, 7289, 41, 1978, 2732, 2078, 938, 6913, 2234, 2659, 3937, 5530, 2691, 1074, 9643, 1082, 2355, 1395, 2716, 587, 6011, 6270, 35, 2710, 6773, 2647, 1813, 2650, 9212, 671, 3683, 7014, 4434, 9924, 6151 ], [ 9333, 7903, 7983, 5095, 5703, 200, 238, 9385, 6910, 7960, 1505, 4373, 643, 4403, 1867, 3252, 8959, 1857, 2728, 3744, 9506, 8486, 8366, 5846, 4733, 8595, 5392, 3648, 4519, 3514, 7187, 1170, 5326, 3542, 5019, 3953, 2546, 3434, 6462, 4170, 7302, 7902, 3187, 8811, 2302, 2168, 5902, 3409, 6553, 900, 2806, 3634, 2884, 9556, 6028, 3743, 9776, 4108, 8846, 1523, 266, 8994, 1535, 3769, 8899, 3608, 2047, 4243, 4322, 8481, 1307, 7684, 4449, 313, 664, 5425, 219, 2586, 6376, 7547, 2615, 8574, 4671, 967, 7255, 6368, 5595, 4218, 7283, 7095, 3370, 3907, 7022, 4996, 6705, 2799, 6177, 214, 6163, 7272, 9753, 4667, 6331, 1809, 4528, 3057, 8808, 4917, 6238, 1956, 9288, 2112, 1056, 2064, 4131, 7805, 4510, 1761, 1305, 2910, 5755, 3035, 8326, 4314, 3026, 3347, 9585, 6587, 2890, 9005, 5132, 9010, 4172, 2565, 1409, 3486, 3147, 1390, 4573, 8491, 6026, 2343, 7915, 268, 5981, 5232, 5323, 9320, 9821, 9761, 5887, 5289, 7972, 4851, 9313, 7582, 4721, 9524, 4344, 8611, 7829, 8616, 3967, 3578, 8604, 1687, 187, 4110, 2372, 6614, 6556, 6554, 2905, 2808, 5127, 8140, 5000, 3010, 3573, 2693, 2082, 5052, 3391, 6219, 1584, 8537, 2763, 3579, 7311, 1120, 3591, 9295, 5281, 6780, 7065, 89, 1449, 7401, 4422, 1127, 9240, 750, 7210, 765, 3412, 8422, 8462, 9411, 342, 663, 7359, 6919, 1086, 2668, 8873, 4827, 2293, 7395, 5249, 6751, 315, 9179, 9087, 921, 6967, 2591, 2253, 6075, 5849, 4783, 1515, 9443, 2492, 5145, 9369, 1639, 1081, 9642, 3668, 32, 2633, 6844, 9745, 6685, 5624, 1863, 9994, 1138, 1184, 1472, 1432, 4812, 60, 5398, 3729, 8269, 3990, 4554, 1254, 865, 7292, 9214, 805, 3513, 8909, 9244, 7206, 4525, 8572, 4297, 5586, 1547, 9972, 3657, 464, 1955, 4730, 7017, 9058, 504, 6808, 5900, 6800, 2235, 8816, 908, 5361, 7783, 5588, 5723, 8021, 1754, 3102, 915, 9434, 808, 3000, 2175, 5135, 1102, 2027, 6831, 6606, 1458, 8981, 5938, 9399, 2470, 6082, 9641, 2475, 5286, 5330, 9722, 2573, 2404, 984, 7781, 2855, 1872, 6709, 1412, 2533, 6783, 9806, 3969, 7069, 632, 304, 1961, 5153, 4149, 7493, 9774, 177, 9529, 8001, 3487, 697, 6166, 5866, 4355, 8936, 6974, 8519, 7827, 3870, 5339, 6788, 4112, 611, 4799, 3244, 9824, 7260, 4620, 8764, 7134, 2541, 8904, 9418, 4610, 3260, 7898, 6333, 9501, 880, 5408, 4693, 557, 955, 8876, 4070, 5270, 8666, 5124, 4556, 6688, 9573, 5960, 7536, 1946, 2537, 6922, 6127, 8508, 5049, 6789, 5749, 6403, 1283, 9913, 5967, 4947, 4358, 2260, 3018, 8382, 7877, 4871, 6281, 6176, 9322, 5104, 6980, 8688, 2520, 8281, 6805, 3840, 9582, 5403, 3152, 5766, 6132, 1241, 2327, 7893, 379, 7078, 9059, 3661, 9495, 3895, 5024, 1285, 7995, 9106, 520, 8407, 1518, 1092, 2628, 4984, 5515, 5635, 8554, 9338, 8324, 2785, 6949, 4053, 4480, 515, 1783, 3254, 3328, 4349, 5454, 8859, 6657, 7531, 3215, 5655, 6370, 5, 4398, 9903, 4390, 7390, 4467, 2807, 8073, 3889, 8116, 8245, 3818, 3923, 2685, 3859, 6869, 7545, 6371, 9032, 7954, 1781, 9254, 3808, 9286, 5154, 6617, 2400, 6402, 2922, 743, 4025, 7510, 1569, 2594, 1439, 998, 1380, 4825, 2150, 1071, 3863, 4587, 8137, 4319, 4148, 5357, 2674, 2525, 1258, 5796, 146, 3449, 213, 3190, 9997, 9503, 6439, 3988, 7678, 4045, 6181, 8417, 2037, 4084, 6222, 6684, 879, 7282, 6793, 438, 4913, 6285, 5455, 9484, 5173, 3405, 6245, 2766, 9833, 4181, 9341, 8589, 8323, 5344, 12, 6141, 6603, 424, 7550, 7097, 7663, 6111, 303, 7045, 6227, 2943, 7054, 4489, 9607, 4760, 3774, 97, 8385, 6925, 6663, 4944, 6893, 1820, 3893, 4406, 9760, 2839, 8378, 6119, 2488, 3736, 495, 9970, 8067, 2016, 5302, 9405, 6673, 4719, 4951, 6304, 3326, 9827, 6437, 8620, 7048, 7589, 7225, 8682, 3600, 8318, 772, 5422, 2303, 7314, 2862, 3086, 9117, 6593, 1951, 4342, 1118, 1908, 1016, 297, 1411, 1244, 2521, 760, 2919, 3984, 4787, 8577, 7358, 9355, 7714, 7716, 4940, 1446, 5711, 6726, 1402, 5988, 7023, 7135, 8877, 5845, 7232, 9382, 3830, 5466, 9775, 4114, 3398, 9896, 7638, 946, 1745, 5927, 7139, 1817, 7006, 1638, 9433, 1576, 4747, 1650, 8248, 2246, 1708, 8693, 7104, 1812, 6765, 6976, 8239, 1311, 3415, 2050, 8477, 6618, 61, 9718, 8638, 1460, 7213, 351, 6547, 2180, 9859, 6883, 3425, 448, 3327, 841, 4576, 6747, 7719, 3800, 8221, 3015, 5612, 6853, 488, 110, 71, 9935, 3745, 7789, 1360, 9730, 6108, 7352, 3061, 1750, 4762, 657, 4068, 4000, 5370, 450, 9784, 6383, 8255, 1342, 8749, 6006, 7692, 789, 5310, 276, 5954, 4826, 6175, 8485, 2663, 4928, 7231, 8557, 6121, 7797, 3031, 8456, 5592, 4987, 2117, 9457, 6575, 6195, 4970, 3060, 7917, 5467, 2948, 8101, 8668, 3575, 4501, 5035, 5785, 5714, 14, 5760, 6972, 9451, 4157, 5863, 2697, 9473, 7683, 6731, 7324, 3788, 5739, 929, 3050, 6668, 3756, 8325, 2657, 5028, 3036, 7126, 4516, 565, 5074, 1921, 8714, 4537, 5448, 4251, 6422, 4953, 5428, 7977, 2113, 9389, 6739, 5568, 628, 6226, 8191, 7241, 913, 3803, 8918, 4253, 7506, 4032, 9031, 9306, 6653, 2491, 1243, 27, 8723, 5912, 3208, 5090, 7051, 1140, 2698, 9710, 8051, 4144, 8229, 2166, 3989, 7440, 1823, 7326, 698, 5913, 6661, 6312, 7274, 5434, 7297, 1365, 5226, 501, 7907, 151, 3431, 738, 352, 7021, 7029, 851, 197, 6665, 1290, 4903, 8249, 1220, 4103, 4670, 9959, 7895, 1799, 2140, 8042, 6833, 4040, 2110, 2295, 3472, 3225, 941, 655, 4224, 3043, 6754, 6521, 2721, 2729, 4837, 4697, 3112, 5152, 3344, 1755, 4166, 8457, 6894, 3545, 8735, 5566, 6818, 839, 8144, 6826, 4348, 4874, 3233, 1922, 8187, 4860, 1259, 3698, 4401, 737, 3203, 1918, 6184, 1001, 2397, 5450, 3410, 4215, 3620, 8356, 6033, 7597, 4713, 6815, 1716, 290, 3872, 4258, 638, 4447, 4520, 1146, 3732, 7987, 8398, 5498, 9557, 8000, 273, 4416, 6114, 6608, 4383, 3369, 7766, 9963, 7514, 7743, 2079, 1938, 1963, 2544, 7286, 3481, 7413, 9826, 1682, 300, 9041, 1167, 75, 5180, 5134, 3316, 1351, 2912, 7735, 164, 712, 7906, 610, 1751, 2261, 2312, 7112, 7912, 623, 9956, 6067, 6471, 2334, 1200, 3108, 2009, 931, 5386, 251, 3519, 5817, 2418, 8072, 3064, 812, 5886, 1014, 4085, 9426, 5271, 8800, 4978, 7757, 270, 9863, 243, 4113, 9261, 2956, 5907, 8527, 8125, 7351, 937, 7963, 7847, 9060, 5694, 9630, 5051, 3996, 2245, 7269, 7166, 6029, 5333, 7729, 1887, 6506, 4580, 5203, 9562, 7254, 894, 3577, 9967, 190, 3957, 8646, 6005, 6231, 8214, 7386, 9961, 4450, 3395, 1920, 2102, 6366, 3030, 2454, 4549, 3581, 7128, 5472, 6206, 7784, 979, 9728, 1837, 2637, 6505, 8797, 2212, 8331, 9478, 1904, 9378, 208, 4286, 9480, 4459, 5721, 5857, 6727, 7058, 8066, 2866, 548, 6418, 4858, 1349, 3122, 7201, 8079, 6358, 8136, 7744, 5772, 8972, 773, 3269, 5044, 6218, 3081, 806, 9666, 2501, 9277, 8201, 4500, 5528, 3652, 5260, 6816, 3999, 5867, 62, 6205, 7204, 970, 4341, 3324, 4262, 1895, 2214, 1972, 5741, 4854, 8694, 6048, 9998, 2605, 9688, 1703, 212, 4441, 4678, 3056, 7193, 8982, 3184, 8730, 5883, 9742, 9116, 107, 6914, 3713, 371, 7015, 6752, 1358, 4009, 3909, 3029, 8286, 5047, 7889, 6986, 9521, 8515, 7560, 640, 7823, 8626, 1435, 3936, 5892, 5402, 4636, 3738, 9677, 9807, 974, 322, 1152, 7034, 4722, 7466, 4318, 8724, 3768, 564, 7788, 7354, 4631, 452, 5179, 5469, 5565, 9865, 7253, 543, 5219, 6531, 3407, 3845, 725, 8837, 3682, 1394, 3707, 7905, 1934, 5836, 5916, 2569, 2937, 2336, 1927, 5002, 1150, 5891, 6669, 3546, 7546, 1959, 1030, 7604, 2878, 8676, 2423, 694, 2801, 7403, 1627, 6718, 8923, 8875, 7828, 2634, 1960, 1028, 9855, 7447, 7122, 8141, 9751, 4420, 5301, 49, 1106, 389, 2672, 8279, 471, 2979, 6582, 8211, 5826, 7202, 5614, 5340, 326, 5520, 9251, 9151, 6820, 6992, 1051, 2266, 1614, 6430, 6646, 1104, 5478, 8123, 1032, 4118, 3793, 5650, 3994, 5186, 7110, 8278, 9992, 6814, 6193, 1202, 1948, 8236, 3263, 7454, 3904, 630, 5896, 242, 1566, 4241, 4847, 8882, 5225, 6063, 1883, 7955, 3495, 8698, 10, 9595, 8839, 8618, 4109, 7148, 6968, 4423, 9617, 747, 6094, 9530, 1517, 590, 6491, 7007, 1293, 7688, 7258, 9559, 2894, 769, 7389, 5045, 1849, 6700, 9692, 2714, 1385, 3596, 3543, 4888, 6214, 7886, 1055, 6018, 2142, 1705, 6414, 2757, 1636, 2186, 3430, 6059, 9206, 9270, 7165, 133, 3802, 8490, 5525, 3034, 9266, 972, 8512, 7194, 5983, 1664, 5970, 619, 9028, 4143, 2124, 8979, 3821, 4381, 5231, 3804, 6106, 38, 8685, 5416, 9416, 482, 1300, 9568, 9395, 1480, 3556, 3038, 9324, 7573, 4497, 5854, 625, 7256, 5240, 1794, 5990, 4264, 7385, 1629, 6229, 3630, 1905, 2864, 9035, 5634, 4750, 2654, 142, 2929, 3549, 8709, 3742, 1233, 8908, 2072, 8003, 5955, 1415, 4359, 15, 2856, 2206, 3797, 5787, 6097, 848, 2021, 4187, 1726, 103, 8531, 2516, 7938, 84, 382, 1048, 647, 5056, 5621, 4725, 8544, 6877, 6664, 9303, 8585, 2896, 7511, 8237, 6786, 2487, 4012, 3520, 6272, 563, 8078, 8344, 5878, 2104, 2431, 7561, 978, 5675, 3927, 4948, 4495, 9436, 2562, 331, 2551, 1346, 8410, 4465, 2550, 6095, 1405, 1667, 1452, 8759, 3345, 1973, 4961, 8672, 5989, 1858, 5923, 9646, 4878, 3739, 9504, 8661, 6984, 7301, 6713, 8071, 9706, 1965, 3580, 5609, 8254, 9789, 845, 8168, 4029, 8164, 2190, 1587, 2265, 8341, 9736, 6262, 6870, 7127, 4821, 2278, 3288, 934, 9803, 9437, 3177, 9291, 9849, 4929, 7424, 3828, 8945, 8864, 6136, 5644, 6438, 8272, 7273, 3943, 4841, 8914, 5641, 7307, 8224, 7966, 7967, 2106, 8633, 4086, 4379, 7216, 3101, 6600, 9476, 4197, 4567, 6544, 2402, 9875, 2447, 5942, 3331, 498, 4834, 2408, 4885, 3637, 149, 835, 5476, 386, 7209, 8719, 1427, 2425, 1574, 1315, 7950, 5034, 2660, 945, 8298, 5345, 7818, 3426, 7806, 3538, 6084, 1998, 4292, 8460, 1044, 4503, 93, 8089, 533, 7461, 8563, 4270, 620, 6557, 9867, 2036, 7754, 7109, 1199, 4728, 5325, 5737, 1091, 9830, 689, 1481, 160, 9372, 3827, 1337, 6220, 5267, 388, 6559, 154, 1992, 4080, 1914, 654, 8212, 8951, 512, 2215, 6255, 9093, 1697, 4321, 5221, 330, 9124, 9708, 2914, 8934, 4003, 5547, 9061, 3623, 6016, 9166, 2377, 6509, 5594, 6031, 9238, 6694, 8306, 8734, 9193, 6406, 6483, 1029, 9092, 2995, 1061, 584, 6996, 8944, 5101, 3856, 8608, 1463, 5976, 3116, 6906, 8634, 2281, 5529, 8030, 7392, 9975, 4793, 3512, 8551, 6271, 2563, 5158, 9486, 3526, 1874, 7946, 911, 3382, 847, 3817, 581, 1234, 546, 6458, 3722, 8974, 6185, 6014, 6257, 2433, 3346, 5446, 8482, 4756, 2381, 9974, 1076, 6538, 318, 8008, 3584, 1600, 9226, 3004, 8479, 2283, 121, 4877, 7859, 3763, 975, 7245, 2725, 2576, 7088, 6900, 5138, 3302, 4424, 7446, 1733, 8538, 7752, 4168, 8697, 2953, 9465, 5100, 7530, 9755, 5973, 3718, 144, 1216, 8427, 8671, 2382, 5248, 1788, 2403, 3185, 3485, 2004, 7212, 1008, 6207, 6294, 9834, 7850, 3918, 4134, 6706, 6743, 8664, 3541, 5479, 5600, 384, 9293, 4228, 4300, 3109, 7172, 6802, 6753, 7346, 8536, 1470, 3664, 8963, 7687, 1999, 5786, 6287, 7365, 6169, 3540, 5006, 9707, 2290, 2103, 4638, 7632, 7120, 3582, 4061, 1768, 615, 4684, 2317, 3319, 1869, 7542, 9919, 223, 8888, 6306, 6620, 6683, 4513, 9914, 4442, 9518, 6957, 8183, 8843, 7116, 7008, 5464, 8894, 5620, 6852, 7237, 2097, 3663, 209, 3892, 2779, 1239, 2767, 5283, 9148, 5322, 1772, 2802, 4077, 9854, 1696, 1940, 7434, 6241, 9111, 844, 7798, 8020, 4581, 3037, 7296, 7611, 2388, 902, 8225, 6702, 6282, 310, 4155, 1417, 6381, 74, 9805, 9987, 7694, 7486, 7371, 3242, 1563, 739, 9120, 2363, 7836, 1671, 2054, 6268, 9034, 3211, 4735, 6574, 8653, 1607, 7304, 227, 4753, 6597, 8231, 2313, 1255, 1242, 1214, 9912, 4986, 2276, 6240, 347, 2675, 5613, 2843, 8702, 7839, 1354, 8005, 5852, 5811, 191, 5092, 9973, 7855, 6461, 6485, 5080, 4665, 8701, 4887, 7496, 3095, 7937, 7932, 6247, 7801, 1612, 1567, 6889, 9694, 7930, 8966, 2494, 2662, 7526, 1372, 2385, 6329, 195, 8840, 7882, 519, 8673, 5819, 9957, 1580, 2440, 2745, 721, 7393, 8151, 4354, 5417, 9539, 9680, 437, 1278, 8755, 8283, 4784, 5593, 8871, 3618, 4775, 8352, 5690, 6216, 766, 1378, 9801, 469, 7569, 7821, 8590, 5009, 3912, 5929, 5659, 5587, 3726, 4504, 3979, 2649, 3111, 8591, 9990, 6645, 5274, 1871, 3846, 6392, 6902, 5230, 4696, 8640, 9062, 9645, 4035, 5016, 9633, 1288, 1731, 4031, 8189, 9703, 6590, 9889, 6605, 9950, 106, 5905, 1749, 4257, 6156, 78, 1573, 6848, 1785, 6178, 230, 7574, 2328, 4005, 1619, 5652, 3224, 1121, 2787, 2579, 7772, 1031, 791, 8949, 3421, 8065, 7327, 8182, 2308, 2814, 6090, 2986, 2184, 2717, 8812, 2603, 3815, 9453, 8060, 2309, 9527, 7470, 1932, 7848, 5994, 8842, 5029, 3383, 4844, 8991, 4484, 3158, 491, 7036, 3350, 2076, 3691, 626, 6399, 4509, 2269, 1891, 6692, 7119, 8801, 9452, 1236, 9977, 7524, 4881, 5991, 2590, 9842, 7455, 4072, 7648, 2043, 9474, 7163, 1161, 9819, 1852, 6946, 2888, 6077, 3214, 1252, 8637, 5661, 6830, 4491, 3871, 7520, 777, 5778, 7376, 4105, 1204, 7452, 503, 5735, 9098 ], [ 8299, 6621, 8691, 7630, 3656, 5698, 5922, 7622, 7817, 6761, 7804, 1608, 5233, 5589, 535, 6386, 3699, 2990, 990, 9658, 9731, 6457, 3417, 2436, 7552, 8763, 7563, 9067, 5453, 8086, 4030, 4534, 4260, 475, 8287, 6837, 6004, 1117, 2770, 8629, 2651, 9202, 419, 9879, 1830, 3537, 1062, 6540, 5262, 1939, 7404, 9820, 1673, 6512, 3674, 9686, 4295, 6552, 5346, 2189, 3746, 1398, 6340, 901, 1550, 6681, 2007, 651, 3562, 4611, 5777, 1655, 531, 9793, 877, 9588, 4616, 3342, 6924, 3387, 3888, 6601, 8502, 5519, 5874, 6522, 2543, 4294, 2319, 1326, 8280, 7076, 5423, 7646, 7576, 5185, 4736, 4226, 7105, 2652, 8393, 6961, 4855, 7180, 5251, 3942, 924, 248, 5579, 3659, 9804, 2977, 7921, 6497, 4244, 3423, 8022, 2700, 7052, 6052, 3747, 2918, 414, 9620, 5969, 9540, 4893, 953, 5734, 3527, 2622, 6252, 5775, 9105, 6042, 7616, 6167, 1957, 7747, 9552, 8432, 6288, 4237, 8329, 8552, 4474, 411, 7399, 3910, 1230, 4419, 8700, 7167, 831, 8270, 4162, 7690, 3389, 6124, 2527, 1514, 6672, 8659, 7027, 4967, 7819, 373, 6433, 2509, 3096, 9856, 9844, 7277, 896, 5532, 4425, 7897, 9273, 3160, 5806, 5704, 7970, 171, 6311, 927, 57, 2749, 2469, 79, 2951, 9042, 3376, 4006, 5517, 6001, 1695, 1362, 822, 422, 5382, 6825, 3839, 7458, 6074, 6781, 1670, 4233, 795, 3354, 6452, 4356, 5730, 776, 2034, 5790, 9425, 3270, 4936, 1423, 5210, 1392, 3292, 9101, 5957, 9121, 2904, 228, 9656, 6746, 1631, 2626, 1130, 52, 4043, 43, 5295, 7871, 3493, 2297, 2554, 4330, 579, 7214, 1532, 792, 5877, 4461, 4345, 9734, 8468, 873, 5765, 2570, 9011, 7219, 7691, 1924, 2122, 2446, 7028, 9243, 1072, 3200, 2970, 7645, 4622, 8790, 1077, 2342, 3754, 361, 5420, 4312, 4098, 8345, 9593, 1680, 4584, 4075, 6619, 1807, 3900, 5708, 9892, 9448, 6002, 9358, 3760, 9511, 8774, 4368, 4438, 7464, 7111, 704, 6486, 9197, 4022, 9160, 1304, 3752, 7642, 8803, 5576, 3915, 1713, 8767, 8954, 4979, 21, 6895, 6725, 5050, 3780, 2881, 8745, 9663, 6372, 849, 5636, 5073, 143, 613, 8054, 1321, 6658, 6730, 2380, 7178, 349, 9943, 8652, 9675, 4418, 514, 2115, 413, 7980, 455, 6715, 3564, 9719, 3458, 5140, 3361, 6689, 5920, 8517, 1585, 2655, 205, 9335, 4659, 7179, 7641, 700, 1369, 8372, 4794, 4673, 8044, 2646, 445, 3356, 8219, 1191, 4738, 3022, 1490, 7009, 4655, 3079, 2585, 860, 2367, 4660, 8209, 4337, 6274, 2176, 4158, 9289, 2359, 9016, 7787, 1275, 2523, 5336, 7037, 8742, 6472, 9248, 5827, 3422, 1149, 1339, 6871, 4508, 8680, 8889, 7115, 9982, 7370, 468, 5082, 499, 442, 7671, 8355, 3202, 9038, 6158, 291, 8108, 6801, 2614, 8596, 3785, 6069, 9230, 4202, 6840, 8848, 5013, 7860, 399, 4683, 9413, 8660, 383, 7936, 6409, 3157, 1589, 91, 965, 3239, 4074, 1414, 7336, 9968, 9051, 2053, 6890, 9498, 5105, 2886, 4291, 4912, 6417, 3140, 4550, 1373, 1570, 5643, 5915, 1853, 3484, 554, 8887, 3787, 8733, 3442, 446, 1735, 9012, 2837, 9591, 5358, 997, 6071, 943, 3728, 7732, 3714, 3701, 5669, 6100, 4280, 1017, 5746, 4588, 1131, 9415, 7758, 7782, 9669, 5042, 298, 923, 9908, 5021, 9808, 3237, 7992, 2788, 7633, 7739, 2667, 6455, 1264, 7599, 5745, 5751, 3946, 1736, 6962, 1838, 2073, 4378, 9113, 4446, 1843, 5937, 6190, 8031, 8696, 9828, 8741, 4939, 2443, 917, 1549, 2665, 9796, 5495, 8654, 2720, 3454, 8852, 4254, 88, 3471, 9026, 6276, 2405, 925, 7143, 4360, 7016, 9629, 3816, 2254, 3315, 1648, 3287, 8736, 9260, 1706, 8464, 9589, 1941, 3261, 5651, 6613, 8150, 2347, 3229, 8194, 9560, 9897, 3806, 9916, 2105, 2715, 7942, 5925, 470, 8819, 7312, 8566, 6546, 5075, 5008, 2962, 4236, 3205, 530, 4151, 4838, 4115, 6164, 7344, 1692, 6526, 9654, 9066, 4981, 6319, 8575, 4993, 6982, 5015, 4562, 3317, 2949, 7761, 244, 6201, 912, 9048, 5678, 6612, 2220, 4771, 4104, 6733, 8036, 7173, 9102, 7982, 6428, 7862, 1203, 3641, 2778, 7947, 7170, 185, 6419, 3814, 4565, 4367, 9737, 2815, 6487, 3075, 2354, 2847, 6161, 6696, 5190, 1059, 7085, 950, 8011, 317, 2849, 2968, 7769, 8911, 9173, 4832, 211, 8338, 4101, 2880, 1609, 9455, 1334, 1197, 951, 4289, 3753, 855, 1494, 6843, 8028, 3559, 770, 8241, 6350, 9825, 7854, 7623, 5443, 8109, 3264, 2451, 9267, 5933, 539, 477, 8615, 2507, 5962, 429, 1928, 1445, 8813, 2553, 2024, 1889, 6690, 6758, 332, 1210, 5899, 7086, 4229, 3491, 1085, 2769, 1964, 9330, 3665, 4382, 1075, 5410, 1440, 2084, 9323, 2917, 4054, 5910, 4388, 8953, 8757, 8841, 3997, 6361, 5544, 5097, 8818, 3877, 4900, 2437, 801, 6401, 8444, 2812, 4873, 1137, 4216, 3025, 1779, 7100, 3271, 7188, 8748, 2933, 5265, 5616, 6951, 6320, 3299, 453, 3583, 5282, 6242, 5662, 9170, 5574, 3740, 5356, 3236, 3528, 8233, 8686, 3222, 2379, 5290, 5053, 6594, 7279, 4159, 653, 5088, 3590, 2292, 1732, 3603, 4755, 8758, 113, 3875, 4752, 240, 2903, 8223, 6882, 8581, 2242, 7816, 8292, 9037, 1097, 6469, 8142, 2639, 402, 3281, 7074, 1352, 9229, 7367, 9590, 7899, 1879, 5522, 5633, 5610, 3886, 2816, 2571, 3622, 8381, 7577, 1868, 5770, 8367, 1893, 1009, 6456, 6065, 7570, 7331, 5549, 2776, 5828, 295, 8172, 3586, 7378, 4892, 9345, 1527, 9603, 3812, 6395, 3598, 7477, 3751, 8041, 3039, 6849, 4008, 7041, 8729, 7144, 2468, 7264, 9298, 9657, 6036, 3696, 1598, 6413, 350, 7321, 2499, 5645, 2061, 5578, 9502, 1777, 3791, 2679, 3772, 6494, 5394, 8459, 4915, 9685, 4137, 7892, 1006, 8594, 5406, 1738, 8093, 8263, 2719, 992, 854, 2952, 9883, 7756, 2999, 7217, 2706, 3489, 5658, 2931, 8553, 3964, 5216, 511, 3378, 9054, 7152, 8867, 7425, 6867, 6609, 560, 7775, 5206, 3976, 9156, 4949, 241, 4152, 2014, 5893, 7318, 1971, 1333, 6841, 6782, 9496, 4788, 1012, 830, 4001, 3245, 182, 7682, 1323, 2913, 3020, 8830, 1603, 2209, 2768, 8930, 4823, 5099, 2946, 9043, 648, 5864, 6978, 8868, 7762, 2015, 8524, 2846, 9779, 8534, 8083, 5829, 7153, 2223, 3610, 5507, 2383, 5311, 3847, 807, 692, 3440, 1488, 2584, 2174, 2604, 6228, 2178, 6722, 3981, 2503, 3234, 2791, 7412, 9964, 2089, 9300, 7102, 5539, 6736, 778, 5754, 862, 6634, 2458, 3151, 7759, 7043, 4963, 6309, 5383, 5540, 486, 7853, 9078, 222, 2848, 5264, 9918, 7627, 4644, 3045, 634, 4069, 5020, 6, 7429, 2420, 394, 6649, 688, 9911, 1134, 4059, 857, 6693, 1701, 6391, 5583, 5782, 2197, 5931, 6911, 1888, 593, 8586, 8743, 976, 3771, 3838, 6868, 7538, 8452, 8893, 9346, 3616, 1678, 7834, 296, 5091, 4531, 8232, 161, 5296, 8523, 7590, 3897, 63, 2356, 7779, 999, 3778, 9375, 9551, 7952, 1272, 3340, 882, 7870, 3749, 783, 4440, 9392, 3908, 5305, 4607, 247, 7161, 8684, 3702, 122, 7571, 3303, 9561, 7293, 5156, 7428, 1987, 5642, 3040, 4044, 6616, 9766, 8872, 2960, 7780, 4014, 4595, 6224, 660, 4371, 1335, 9366, 1070, 2759, 8373, 5667, 2853, 8293, 2272, 9272, 6199, 7151, 2817, 3811, 5966, 5825, 9494, 1368, 4517, 9053, 7679, 6935, 9167, 9153, 4751, 4106, 1816, 368, 8651, 9314, 7749, 5987, 9321, 840, 1866, 7396, 2557, 3635, 34, 2867, 4363, 1429, 2100, 6335, 1776, 8203, 3757, 5521, 2225, 7830, 3671, 7072, 1018, 6903, 7030, 3733, 1313, 6928, 8007, 4880, 3127, 2387, 7498, 2589, 5460, 4778, 2449, 6076, 6794, 8322, 1613, 5007, 6196, 426, 7487, 2390, 2052, 545, 4180, 8880, 4475, 2314, 7825, 7544, 6445, 4279, 782, 9566, 2353, 5348, 958, 3464, 229, 3314, 7004, 7594, 225, 6806, 6498, 7768, 4529, 3274, 6905, 7339, 2060, 7380, 366, 8458, 9091, 7771, 3062, 8784, 6107, 763, 9391, 2708, 6027, 5380, 9699, 3642, 5676, 5351, 9419, 4435, 6425, 2282, 1094, 8463, 6427, 4754, 6993, 9245, 8631, 4688, 6651, 3692, 7488, 2857, 314, 2207, 1147, 5814, 3379, 909, 5204, 7866, 5637, 9572, 9616, 7813, 9510, 4122, 4772, 2718, 8443, 2682, 7567, 8309, 5227, 6396, 1742, 8202, 3496, 3041, 5433, 5758, 7420, 8649, 6633, 3884, 6503, 5298, 6133, 9006, 6265, 1610, 8032, 3576, 1179, 8130, 9715, 2216, 478, 9138, 3734, 3831, 9046, 3497, 7313, 7549, 1769, 4493, 8425, 6542, 2273, 2830, 8783, 6058, 3443, 5686, 6420, 5894, 4335, 3991, 5069, 1729, 5001, 7433, 7291, 5385, 3348, 8556, 1171, 5328, 1024, 4306, 1002, 3554, 2398, 9905, 4806, 8039, 8257, 7186, 5458, 1554, 1818, 3480, 3947, 5545, 8679, 5875, 7999, 8498, 3509, 3320, 9075, 8546, 4230, 7790, 8753, 6407, 4448, 1666, 6779, 8336, 7654, 6140, 392, 6035, 9180, 9352, 3054, 8307, 9344, 4150, 4334, 6764, 733, 2108, 6025, 1702, 9810, 1038, 8776, 6892, 3005, 1020, 3251, 4476, 8133, 2473, 5033, 4988, 2074, 5500, 3199, 853, 9777, 6337, 7988, 2375, 9247, 5654, 6908, 5307, 7106, 4899, 8332, 2444, 1482, 8470, 4284, 3126, 3181, 8927, 1826, 4901, 1802, 8895, 9934, 9870, 6774, 2059, 9925, 9576, 4432, 3626, 7061, 4749, 6834, 5303, 3381, 6085, 1533, 7242, 5119, 2712, 7695, 377, 2187, 1728, 7184, 8705, 5822, 6072, 6182, 9933, 7996, 9726, 6846, 4613, 9845, 1087, 3987, 4050, 6318, 4102, 7501, 3644, 323, 3993, 1217, 2851, 1644, 1253, 5733, 6508, 1486, 3716, 7091, 2099, 2410, 3002, 1798, 8933, 1557, 3479, 9356, 6289, 7243, 321, 8571, 741, 5276, 4220, 9063, 4288, 544, 1605, 4372, 9759, 1762, 1691, 8915, 8002, 1685, 473, 9869, 3720, 138, 1752, 8179, 7928, 4033, 3175, 2199, 9315, 4096, 9318, 3731, 2239, 555, 8303, 7356, 4968, 6290, 4328, 6040, 5968, 2038, 9615, 9203, 9220, 6897, 993, 6003, 8412, 6325, 5523, 2592, 799, 9991, 1053, 7262, 2526, 562, 1878, 8052, 779, 892, 3894, 7770, 7896, 5632, 4833, 7168, 5743, 1495, 1328, 8163, 165, 5427, 5858, 8950, 8038, 4305, 5542, 6244, 5143, 8832, 5071, 7362, 6596, 9570, 6872, 9509, 5207, 8308, 4250, 6115, 8388, 7218, 7909, 3902, 5663, 9130, 7222, 4340, 2426, 4408, 4662, 5506, 3956, 281, 189, 4362, 9947, 5952, 2989, 899, 2231, 4582, 843, 1287, 1522, 4007, 7235, 2181, 2945, 9017, 3006, 5941, 7417, 8548, 83, 5823, 1292, 1983, 40, 2538, 8411, 4598, 4601, 1174, 8883, 6404, 1067, 8578, 6643, 3700, 1539, 8907, 6777, 8715, 3463, 4079, 3568, 4171, 724, 481, 3433, 346, 3107, 8576, 3737, 1112, 1476, 3896, 7357, 5308, 8291, 4039, 2163, 5027, 6880, 8353, 236, 6172, 1624, 1596, 306, 7916, 1256, 4843, 2529, 709, 6291, 670, 9192, 9076, 9681, 8863, 4930, 4770, 3146, 8161, 7223, 502, 4782, 9592, 2029, 8925, 7975, 1393, 7082, 104, 1568, 3629, 5397, 7568, 3500, 9239, 6866, 6502, 1693, 5762, 8932, 53, 8096, 933, 7861, 886, 5986, 1913, 2298, 6188, 2131, 820, 4133, 1493, 2401, 2156, 9946, 7330, 4090, 5958, 6030, 6973, 8606, 7991, 3878, 7831, 7557, 7251, 1511, 4907, 345, 4234, 7010, 5462, 9282, 7543, 2183, 9791, 4724, 4010, 6060, 3794, 360, 6134, 2677, 6622, 4452, 8756, 2517, 3469, 6066, 1103, 4808, 7670, 4147, 2549, 6079, 6532, 180, 842, 3650, 8939, 2703, 3448, 9953, 5341, 474, 7587, 2653, 3869, 6631, 3678, 9003, 6284, 5089, 6885, 3179, 4705, 875, 3592, 963, 5176, 2486, 3145, 1720, 2258, 3680, 8805, 6126, 9750, 1994, 2158, 8647, 2883, 3078, 4998, 37, 8708, 1015, 5784, 3250, 8866, 3165, 7284, 9255, 8779, 1520, 983, 1604, 4604, 4875, 5779, 6948, 5630, 4392, 4486, 728, 1101, 1079, 8892, 6314, 2268, 3867, 8580, 4217, 5847, 3351, 8261, 6873, 811, 1274, 1289, 1542, 8327, 3278, 679, 5480, 2378, 1212, 3534, 4933, 6770, 378, 7704, 1499, 6535, 1343, 9988, 2608, 1347, 4204, 6145, 1080, 2143, 6020, 6647, 6210, 8716, 3401, 798, 2349, 9209, 2532, 3913, 1418, 7953, 1180, 1235, 2357, 494, 906, 130, 6362, 922, 5475, 7249, 2, 5229, 3679, 9033, 5490, 4955, 2352, 3786, 9080, 2575, 1158, 9884, 5291, 8600, 5165, 6496, 6628, 6328, 5401, 4485, 3719, 8480, 7512, 9812, 1967, 1856, 2832, 3748, 5372, 6735, 5317, 5572, 9516, 2707, 4539, 3885, 1561, 6579, 2322, 4060, 5696, 3343, 199, 6997, 5377, 3501, 8391, 4107, 7680, 9802, 7287, 9176, 5404, 6451, 9523, 8762, 4183, 3533, 6555, 2081, 1498, 6929, 4140, 4087, 9605, 5174, 9571, 7077, 665, 6310, 8149, 2744, 68, 706, 9996, 3238, 2588, 7918, 2560, 6198, 4259, 7175, 4869, 5932, 9435, 885, 8807, 675, 1662, 7609, 6375, 1141, 5935, 2346, 6233, 9508, 9002, 1185, 3428, 6460, 7815, 302, 9659, 9309, 5111, 1011, 6571, 357, 4092, 2684, 5687, 5861, 9910, 4353, 8752, 690, 4914, 6053, 7968, 1814, 8193, 81, 170, 109, 3309, 6408, 4266, 6277, 8549, 570, 7070, 9222, 8825, 3349, 2068, 25, 5971, 3502, 4376, 7379, 6353, 7602, 8771, 1722, 954, 217, 6356, 8305, 220, 6129, 3640, 6938, 5953, 6347, 1757, 7038, 9428, 7092, 8802, 8995, 5499, 7958, 4780, 9396, 4370, 1317, 5997, 3694, 7840, 127, 1984, 9337, 6332, 3954, 8297, 7053, 2188, 1284, 5860, 8321, 435, 2927, 1442, 6295, 939, 2906, 8234, 7460, 2149, 7484, 8139, 67, 932, 7826, 2895, 7703, 9949, 8127, 914, 5598, 6261, 540, 415, 3933, 5729, 2264, 5638, 126, 2955, 1379, 8429, 4741, 4430, 5978, 2424, 2179, 5815, 2800, 2694, 2325, 8678, 2901, 329, 9404, 8057, 5808, 1865, 5562, 9515, 4433, 3755, 5242, 768, 135 ], [ 2786, 4329, 1663, 2879, 1833, 9878, 3123, 4311, 9142, 7224, 9077, 4538, 538, 9477, 2066, 4898, 7800, 7142, 4946, 328, 2616, 2480, 9632, 6421, 9157, 4789, 9009, 480, 9581, 918, 8173, 2617, 3444, 3087, 9984, 436, 3677, 9112, 3653, 1063, 7240, 26, 4232, 3919, 980, 2713, 1251, 3970, 3563, 9430, 2566, 3129, 758, 8522, 9020, 8737, 7733, 3357, 6064, 1400, 6298, 7777, 4742, 3798, 5666, 7398, 6790, 418, 8530, 2644, 4154, 7381, 4865, 7873, 5934, 4791, 5103, 7026, 5430, 9800, 2897, 8409, 3195, 348, 8898, 8235, 7320, 9857, 7863, 8117, 7306, 7900, 1590, 2699, 7220, 3408, 8158, 5375, 6101, 541, 5872, 4142, 5396, 7391, 1461, 5316, 4307, 9980, 9122, 9072, 529, 8082, 9328, 441, 4046, 1013, 816, 8732, 4712, 2678, 4212, 2344, 4663, 1367, 5072, 8205, 3829, 6591, 4909, 3341, 4132, 8048, 6466, 8258, 5292, 5483, 4462, 4804, 9047, 5928, 3721, 4654, 7656, 203, 9133, 4002, 5144, 3475, 4184, 9711, 5407, 2796, 2318, 8467, 2547, 1370, 7620, 1651, 8509, 9723, 120, 3958, 9832, 255, 4436, 4208, 4746, 2496, 9329, 1361, 5228, 7696, 9772, 7613, 7394, 140, 4047, 8240, 9326, 2177, 6732, 3858, 8943, 3105, 7677, 1780, 4207, 1642, 9081, 8473, 2368, 637, 1790, 5835, 4664, 5197, 2419, 5802, 5077, 578, 4248, 2083, 7881, 5177, 5415, 1643, 1861, 9217, 4456, 400, 1221, 6017, 6454, 5717, 1890, 7606, 6208, 50, 216, 9625, 1974, 713, 4648, 9689, 8428, 884, 7430, 3903, 9881, 5368, 3973, 1844, 9343, 6041, 3764, 1, 711, 5314, 1782, 1597, 6963, 6093, 8285, 9332, 416, 895, 8375, 372, 4559, 6966, 6857, 6738, 2191, 1966, 2051, 7513, 6927, 7227, 8354, 5870, 4710, 4185, 1538, 9285, 2306, 7448, 1737, 1822, 3706, 3196, 589, 2116, 6279, 2923, 1586, 250, 5131, 1298, 2321, 3466, 9917, 2326, 7705, 793, 9752, 893, 4268, 3257, 4421, 6923, 2939, 2289, 9178, 9190, 859, 6835, 6549, 9815, 9647, 9029, 6499, 5998, 5975, 6550, 4325, 6088, 7636, 4470, 5208, 2620, 3940, 6679, 3844, 1231, 2688, 336, 5192, 547, 9297, 5196, 8027, 4275, 7248, 2141, 2217, 7462, 8547, 412, 3672, 2195, 4551, 1046, 8707, 575, 8343, 8317, 1312, 7935, 47, 8029, 3120, 2765, 3901, 2595, 24, 3267, 935, 2139, 6523, 8975, 5011, 7343, 9485, 8387, 4811, 9304, 7706, 8018, 7160, 3180, 3125, 1126, 6125, 8124, 4037, 8454, 8062, 5611, 1387, 9586, 5709, 4846, 1544, 1795, 4063, 5513, 3796, 9526, 2621, 6778, 8624, 4, 417, 3009, 4402, 1620, 3153, 7011, 4064, 4364, 8085, 633, 1363, 2071, 258, 275, 2153, 1196, 3074, 9349, 9351, 552, 3529, 524, 9454, 7281, 6687, 3941, 703, 7939, 28, 2277, 1129, 8184, 1936, 8560, 1135, 1474, 1740, 4522, 3632, 9319, 2902, 1310, 4591, 6539, 7113, 4910, 2147, 2736, 2421, 2121, 2975, 3841, 4066, 4703, 8965, 2515, 5482, 2042, 5718, 9025, 6931, 9621, 6561, 6755, 5279, 6625, 5241, 9714, 718, 221, 4818, 4290, 2947, 7793, 2506, 2928, 7610, 6296, 4478, 2133, 9923, 4016, 7039, 2415, 8091, 3833, 3881, 586, 872, 5511, 6629, 3217, 1845, 8970, 260, 4281, 6771, 3183, 3419, 7475, 9487, 2022, 8440, 7940, 3049, 8687, 6933, 3363, 3594, 2196, 616, 261, 2211, 5685, 687, 7554, 2111, 8614, 4767, 2669, 588, 8597, 3684, 5753, 7183, 5435, 2868, 8505, 5202, 7278, 2746, 4699, 874, 9353, 4927, 9250, 642, 8153, 4019, 1724, 9461, 6099, 4680, 3524, 7377, 8913, 1862, 8977, 4139, 7387, 5764, 3445, 9007, 4209, 6941, 4192, 5488, 8310, 3962, 6520, 1526, 4906, 7712, 4831, 7103, 6876, 4615, 2792, 3377, 1223, 985, 5457, 8849, 5712, 2267, 6994, 4034, 8424, 8946, 3690, 8689, 4466, 9797, 631, 7760, 6049, 8061, 9464, 4287, 9754, 4024, 3820, 6009, 5342, 8985, 528, 4298, 856, 510, 2227, 8040, 5168, 8408, 2981, 1246, 594, 9852, 6346, 3928, 6641, 239, 2019, 2822, 9348, 7811, 3615, 7742, 3865, 4313, 1319, 454, 658, 5212, 5062, 9398, 4675, 6343, 7419, 3219, 5061, 9308, 4391, 676, 759, 269, 2285, 2020, 3822, 7176, 9040, 2125, 8740, 2753, 1980, 6327, 3207, 3273, 5984, 3368, 8929, 3162, 5269, 7414, 179, 6940, 6374, 2463, 3059, 3403, 8402, 8545, 9024, 3204, 2624, 8956, 1628, 6721, 6155, 4324, 9483, 4563, 334, 8430, 5285, 3631, 8159, 4316, 1142, 3128, 7372, 5999, 9717, 492, 162, 1686, 1431, 2243, 2474, 8722, 7353, 1330, 4198, 4572, 7177, 4731, 9097, 2755, 6859, 4925, 7750, 8403, 7325, 1489, 3386, 7402, 4384, 2739, 9412, 834, 6745, 1111, 5237, 6142, 2025, 6248, 961, 5320, 9534, 6316, 2130, 6400, 6377, 5831, 6704, 6007, 5261, 3364, 5350, 4766, 8271, 1847, 536, 592, 7149, 9129, 7657, 7369, 9739, 1746, 7600, 5853, 9885, 5118, 2754, 8835, 1175, 9108, 2244, 1153, 5647, 6707, 9697, 5023, 6046, 2435, 2600, 9219, 2973, 2455, 828, 3456, 6945, 1758, 73, 4417, 7715, 116, 11, 5844, 7199, 6637, 1811, 1206, 852, 2564, 1159, 9635, 6264, 3253, 5332, 2771, 9767, 3355, 6769, 5312, 2804, 682, 9211, 9921, 6839, 4123, 3285, 3161, 5205, 8567, 9159, 9213, 256, 2161, 8655, 1710, 2865, 2005, 3518, 4285, 2145, 2908, 5660, 1005, 4412, 2782, 1632, 9021, 5792, 7261, 7469, 1649, 7215, 7337, 6416, 8860, 2574, 9394, 7583, 3256, 7087, 521, 2882, 2039, 9367, 8878, 158, 6551, 1237, 3960, 1069, 701, 5993, 465, 8406, 5369, 9118, 7948, 7820, 1500, 5451, 404, 2035, 1447, 7586, 7731, 6519, 5106, 8488, 2364, 5793, 4191, 1530, 6292, 7516, 9702, 7158, 6495, 8579, 1245, 8358, 6977, 2432, 5209, 5501, 7480, 485, 7080, 5560, 6728, 1864, 5343, 1723, 9175, 641, 5079, 9158, 4574, 8778, 3925, 9439, 9520, 1718, 6179, 4455, 3468, 8252, 9327, 3761, 7723, 7875, 9661, 2648, 7523, 2144, 9188, 3397, 308, 9383, 44, 7133, 3150, 459, 8300, 8260, 6300, 8296, 5388, 2118, 7032, 5546, 2671, 6809, 3277, 8751, 7548, 5974, 556, 9976, 7146, 3612, 2818, 6607, 8176, 5355, 7913, 5300, 4589, 305, 3362, 7233, 7883, 6937, 1348, 8100, 136, 3647, 1582, 6856, 5353, 1172, 6297, 4561, 5424, 6204, 7490, 2504, 3823, 6744, 2524, 2465, 2279, 1261, 2619, 6572, 4777, 5224, 5178, 3118, 9667, 364, 9683, 4612, 8222, 3325, 6159, 4990, 7063, 4726, 9619, 7499, 4585, 5275, 8989, 9482, 8120, 3384, 8197, 4129, 3085, 3929, 7124, 8674, 5752, 8035, 7914, 4235, 4905, 4802, 6504, 2008, 9732, 3982, 3723, 9140, 3850, 9846, 9259, 7725, 4389, 3539, 3084, 343, 2997, 4310, 8314, 3318, 2727, 1329, 6259, 8394, 1945, 4411, 4830, 9601, 2583, 9525, 9145, 5561, 3995, 8610, 8942, 3136, 3322, 7323, 96, 3418, 1625, 2274, 2498, 8528, 4689, 2228, 3305, 4813, 9535, 8750, 48, 1950, 7494, 5150, 7382, 7535, 1341, 6671, 9850, 1211, 8208, 607, 889, 749, 249, 3535, 9447, 2286, 2296, 8405, 6918, 9393, 8588, 8504, 8541, 8064, 3998, 3406, 5748, 1819, 910, 4547, 2783, 2875, 3306, 3531, 2222, 6010, 5832, 6057, 4965, 4656, 2735, 215, 7364, 9816, 2045, 175, 5724, 8131, 3291, 3972, 8952, 1109, 6652, 2638, 1299, 6235, 9036, 9995, 8449, 3646, 9139, 4366, 8636, 989, 3504, 8513, 9064, 6936, 8787, 4856, 1698, 4957, 7125, 8518, 645, 2522, 6168, 6875, 4645, 987, 8068, 1725, 5963, 8069, 6473, 7868, 457, 5898, 8713, 2790, 3986, 9922, 6183, 5148, 8396, 1929, 2003, 1896, 2017, 3459, 1588, 5834, 1806, 3441, 2101, 729, 5944, 1279, 1471, 4704, 8957, 1611, 1332, 2836, 1677, 3367, 1640, 5128, 9799, 7024, 7195, 7700, 4038, 299, 431, 7755, 2824, 5536, 3717, 6050, 4245, 5133, 2959, 8273, 9444, 4950, 4882, 2601, 9725, 1336, 6230, 3685, 5911, 4343, 7492, 1885, 9938, 966, 6965, 1595, 3295, 8782, 715, 5487, 7534, 2065, 2391, 4577, 2618, 7625, 4023, 8799, 2030, 456, 9340, 5719, 1764, 6891, 5040, 5964, 1122, 2063, 3247, 1192, 1280, 4303, 4221, 7295, 3438, 3070, 8494, 5067, 2026, 3132, 3046, 5200, 1039, 669, 2255, 5798, 9940, 4082, 4553, 9460, 5468, 7773, 5740, 867, 7802, 3121, 5160, 959, 9331, 595, 9915, 7702, 667, 7140, 1388, 5837, 7288, 7400, 6278, 9045, 5575, 3570, 4213, 6529, 9672, 6045, 4428, 324, 6221, 627, 5324, 9104, 401, 8760, 2607, 2386, 8657, 7453, 8049, 7338, 3515, 2001, 9424, 2459, 65, 4624, 1023, 173, 761, 466, 1803, 31, 6960, 2457, 7629, 3330, 2823, 2409, 2536, 5626, 9623, 1265, 1791, 2810, 316, 6656, 9545, 2023, 4471, 9877, 483, 9599, 6061, 8439, 1668, 3088, 7650, 8483, 5284, 4276, 6988, 4042, 2280, 90, 108, 4714, 1177, 8601, 1656, 6436, 1575, 2192, 920, 736, 2399, 7363, 7495, 7020, 2844, 1617, 2542, 6921, 9001, 7944, 8207, 5979, 4614, 7884, 1996, 1901, 1042, 4974, 3282, 9794, 3511, 2869, 4876, 8617, 8097, 3371, 4261, 4879, 4976, 2152, 9201, 1873, 5352, 7432, 6044, 3248, 7653, 4792, 7601, 9044, 5018, 420, 5010, 3848, 8311, 6477, 3730, 4499, 1506, 9768, 2809, 2909, 1434, 8947, 8865, 8900, 1232, 2602, 8768, 4985, 7856, 9817, 3058, 4594, 1880, 5315, 1774, 2915, 7910, 1119, 9386, 6855, 7651, 2155, 5924, 8901, 4629, 4658, 4020, 183, 775, 9450, 3557, 4536, 3228, 232, 9673, 9400, 2128, 358, 5871, 5384, 3321, 5689, 9765, 4176, 6315, 1681, 9242, 2160, 6639, 7803, 8106, 2907, 3312, 8912, 9449, 6424, 3781, 5800, 5816, 7368, 6573, 1510, 8383, 904, 8499, 866, 597, 2119, 3963, 9861, 3614, 7075, 5504, 1763, 3561, 159, 6534, 8922, 8268, 1083, 7923, 1835, 7332, 4560, 8983, 6676, 6896, 3313, 9079, 8555, 1225, 2010, 4116, 4921, 3353, 9713, 2758, 7533, 3467, 3776, 1267, 8105, 5287, 33, 6942, 7631, 9733, 2606, 4453, 5791, 8712, 3429, 4062, 6749, 9475, 1565, 6798, 3019, 3268, 4630, 9268, 6874, 4649, 3602, 9549, 1399, 8365, 5273, 5126, 754, 7427, 3655, 2985, 4481, 1465, 9650, 5266, 7786, 7698, 4182, 4883, 606, 6197, 1647, 9507, 861, 9684, 5036, 4641, 6595, 1688, 6907, 5195, 9748, 2730, 6742, 6762, 3276, 3782, 237, 2090, 5444, 7961, 7978, 9928, 3628, 7665, 5516, 8525, 4088, 8598, 6666, 7951, 7697, 8414, 449, 3032, 5706, 3932, 3159, 4145, 2185, 64, 7239, 2505, 9596, 2991, 6139, 1501, 1257, 5750, 7141, 4602, 629, 720, 487, 9073, 235, 9764, 3124, 8395, 9594, 1356, 3297, 2597, 7247, 9665, 3083, 9204, 4989, 8789, 4690, 5146, 4397, 5628, 5744, 3645, 1391, 8386, 3028, 8448, 7971, 1734, 4625, 5492, 9194, 7191, 5235, 2877, 1645, 7504, 117, 8196, 1727, 4995, 7998, 9891, 7156, 4124, 7541, 2396, 6137, 2148, 887, 9583, 3308, 2204, 489, 5110, 9191, 7721, 218, 3477, 2232, 4566, 7521, 3461, 8009, 7981, 826, 5121, 4169, 2495, 8584, 3522, 4617, 8377, 4429, 1560, 1528, 9310, 8017, 1935, 2417, 4272, 6930, 4895, 1804, 8896, 6447, 16, 5773, 9198, 810, 3048, 3715, 7585, 5141, 864, 3188, 2752, 3226, 6989, 9577, 1193, 962, 9365, 5331, 9228, 8348, 4174, 8582, 624, 5804, 1425, 6364, 5617, 8024, 3047, 526, 128, 8112, 8128, 272, 4646, 5162, 1970, 659, 1428, 7686, 5452, 6273, 1825, 1371, 9169, 8853, 5373, 8256, 1401, 898, 7270, 8542, 710, 9146, 9441, 9843, 9893, 69, 6444, 9216, 8795, 7791, 439, 3077, 2709, 5842, 5399, 5164, 5876, 7150, 6847, 1832, 5473, 1594, 3636, 7182, 5159, 8118, 7689, 2630, 5337, 7503, 5461, 787, 9512, 4083, 7794, 2006, 4828, 8154, 7094, 6766, 9532, 8316, 5026, 742, 745, 356, 5068, 3922, 7147, 6054, 3767, 7639, 2724, 5250, 7309, 2911, 944, 7345, 5851, 8612, 5193, 3688, 7384, 3945, 8726, 650, 3558, 9999, 2489, 2723, 9558, 8796, 762, 8897, 8642, 5959, 9237, 986, 6012, 5657, 1982, 4274, 2067, 4315, 1186, 9660, 2252, 8917, 1190, 2957, 2502, 9614, 8368, 756, 4540, 9612, 301, 8969, 2891, 5064, 2733, 1652, 8215, 5558, 8104, 5824, 7257, 6200, 8478, 794 ], [ 7375, 1692, 866, 8422, 5916, 7861, 2468, 6244, 5396, 9440, 2494, 3436, 8083, 8134, 2342, 8850, 816, 469, 4641, 3743, 7214, 9424, 3105, 9647, 1533, 9319, 9563, 3090, 4603, 3015, 1020, 5689, 2066, 2490, 7912, 8576, 6381, 4967, 1046, 9443, 7962, 9801, 6101, 7674, 4374, 8141, 6395, 441, 9448, 5999, 8526, 8094, 7439, 443, 9547, 4137, 4279, 6464, 2017, 9368, 3942, 8986, 5902, 7513, 5193, 9642, 8338, 9692, 6682, 5722, 9977, 6664, 2158, 5413, 3624, 2810, 8464, 8787, 4774, 157, 8340, 7429, 9576, 8538, 5986, 9942, 1132, 2680, 6359, 2912, 7854, 9781, 193, 695, 9617, 3211, 460, 1233, 2496, 8837, 7066, 4270, 3857, 3962, 9613, 7556, 2260, 8027, 5564, 6342, 7250, 7124, 7505, 3087, 1840, 957, 5361, 7062, 5926, 7916, 9462, 2643, 3465, 5255, 4583, 8441, 9961, 9967, 5280, 6323, 8448, 3744, 6814, 8143, 2747, 6461, 2953, 6679, 6383, 7225, 5184, 2811, 9303, 5981, 9015, 5632, 5129, 3797, 5045, 9317, 9133, 5093, 4800, 5800, 2843, 833, 5322, 7791, 9304, 8276, 3495, 3730, 3840, 8851, 8612, 1356, 9113, 406, 8342, 7341, 2532, 9608, 7766, 9076, 1379, 608, 281, 4683, 3223, 9717, 8492, 3931, 1248, 355, 3584, 7680, 173, 3484, 3885, 8866, 7700, 4706, 3060, 7365, 6192, 4785, 8126, 653, 7433, 4474, 1397, 5208, 4613, 2003, 1101, 7349, 516, 6750, 5900, 3555, 6454, 3213, 410, 2358, 5085, 4286, 6138, 6001, 5741, 5331, 9043, 54, 1821, 6535, 6108, 6838, 5118, 4341, 5840, 9413, 932, 6810, 7633, 8930, 8965, 9233, 8720, 9852, 8772, 1359, 3080, 836, 4088, 8004, 92, 5803, 4499, 4146, 886, 8263, 3541, 6677, 6399, 8127, 4752, 1204, 3960, 3692, 1376, 8809, 1118, 8713, 151, 2473, 7266, 5644, 2678, 7552, 435, 4536, 5906, 9099, 6246, 2265, 4259, 7082, 2808, 2455, 7367, 5256, 7812, 4539, 8848, 2619, 8868, 6642, 9223, 1301, 5966, 8023, 7659, 6980, 581, 6559, 9000, 3162, 786, 8988, 4446, 4062, 7622, 2718, 5605, 5427, 8891, 1387, 4564, 269, 7146, 3740, 5452, 9084, 5545, 1549, 5350, 9536, 1060, 2375, 468, 825, 1642, 8149, 6723, 6568, 481, 4280, 8197, 3306, 5023, 3366, 5017, 8592, 8472, 1498, 3866, 3927, 2645, 9220, 1766, 7933, 6912, 3476, 5029, 4484, 5216, 1009, 1471, 2055, 6, 4271, 6213, 4019, 3926, 9531, 8544, 3659, 2705, 4240, 36, 1851, 8992, 4910, 589, 1613, 2943, 479, 6941, 6943, 6618, 7157, 7583, 8510, 7709, 4956, 251, 6555, 6340, 4208, 9337, 1653, 5411, 3312, 2088, 2799, 845, 8878, 8360, 2044, 5710, 7725, 3500, 3713, 2509, 5215, 3678, 5338, 2001, 9955, 8994, 5130, 8346, 6022, 1148, 1947, 3175, 3216, 1111, 4582, 2717, 2954, 290, 8560, 4877, 9427, 8146, 7267, 6862, 7572, 9102, 9094, 3075, 3, 7414, 6549, 8603, 1406, 4631, 4561, 6465, 7131, 2474, 9971, 274, 876, 9372, 6396, 4242, 7018, 634, 2536, 3438, 4455, 437, 3940, 6849, 7889, 8129, 4727, 5953, 465, 1865, 8030, 5709, 5207, 2421, 1342, 7175, 6182, 8454, 8187, 5248, 4895, 4537, 3604, 7086, 4470, 3192, 6080, 9794, 3191, 6462, 9270, 5234, 1864, 5447, 310, 8257, 6194, 8052, 6795, 4687, 1644, 1816, 3620, 4510, 2588, 9011, 6344, 733, 70, 6306, 1325, 7570, 5335, 5418, 5077, 1503, 2176, 3610, 9525, 1161, 3408, 29, 6238, 6181, 2133, 5718, 9889, 7688, 2270, 1029, 2331, 3724, 4, 3756, 8421, 9973, 3319, 4042, 9993, 9808, 1200, 5684, 1705, 8643, 351, 2751, 1486, 426, 9880, 8014, 2443, 2183, 2033, 7954, 1983, 1518, 329, 5349, 9216, 4479, 7326, 4940, 585, 6057, 4780, 9646, 83, 9598, 1623, 1349, 1950, 9049, 3435, 964, 6295, 126, 1552, 4664, 7762, 3690, 8639, 3497, 6990, 2287, 2873, 4219, 2419, 1384, 1530, 8494, 8740, 9648, 1231, 8206, 8596, 1197, 4710, 9832, 7562, 4908, 8057, 7298, 972, 7677, 6951, 2861, 4890, 7235, 5952, 4578, 4011, 8091, 8042, 7640, 9064, 1075, 5907, 4249, 3774, 6014, 1354, 9227, 3452, 1039, 8916, 3889, 8434, 544, 4298, 3655, 5554, 672, 4805, 742, 758, 7052, 7077, 6253, 6473, 4721, 2558, 7218, 7665, 6047, 3061, 2193, 5731, 5611, 2202, 5959, 3303, 7532, 9251, 1255, 7731, 8291, 7211, 349, 6125, 1841, 4227, 7085, 3058, 4531, 5016, 8922, 1676, 2824, 9478, 717, 1080, 9655, 7244, 9236, 7404, 9723, 1208, 9962, 7450, 1617, 2188, 9941, 1283, 2988, 4584, 9446, 7051, 1541, 4724, 2823, 9226, 9006, 5357, 5406, 5585, 8315, 5005, 6975, 7459, 3411, 2660, 5386, 3415, 4947, 3546, 2991, 3375, 7711, 5097, 6906, 6239, 2904, 3089, 2140, 5893, 5664, 6486, 4817, 1792, 1859, 2395, 8049, 6660, 4008, 6007, 6530, 2907, 162, 7806, 1440, 8254, 7535, 7173, 1592, 6499, 2074, 1019, 4633, 5524, 2350, 9281, 5297, 1368, 7451, 2274, 1172, 9415, 9327, 1259, 7745, 3727, 6733, 5878, 2230, 3182, 3723, 1431, 1789, 9260, 3625, 5307, 9883, 4735, 4611, 2663, 934, 3354, 6769, 3114, 3229, 7333, 5190, 7028, 6508, 6789, 9670, 9899, 7741, 319, 9366, 2277, 7027, 6002, 5180, 6111, 7239, 6393, 2786, 7257, 4485, 854, 2600, 967, 3003, 701, 7718, 8335, 8024, 643, 3532, 508, 8518, 6696, 4814, 945, 455, 205, 9682, 730, 2620, 3989, 9809, 6945, 3511, 3277, 6261, 7470, 995, 5488, 1915, 7205, 3515, 4720, 8105, 7507, 8440, 3364, 5385, 1136, 7781, 7249, 4322, 7258, 6514, 4795, 8055, 9860, 7049, 7048, 4458, 7573, 2120, 1289, 5268, 116, 1264, 8879, 1814, 3616, 649, 8979, 8943, 3012, 8776, 9565, 6650, 7196, 1469, 4646, 6873, 9958, 8497, 6224, 6476, 5890, 7784, 2514, 8450, 6252, 210, 5002, 278, 2908, 5736, 6872, 7487, 2719, 969, 7645, 4409, 3367, 4837, 8978, 7060, 6729, 5873, 3665, 1483, 1026, 535, 7463, 8710, 4656, 8487, 3547, 51, 700, 44, 9110, 3451, 5243, 9403, 9016, 3666, 3499, 5672, 6884, 7817, 6286, 264, 635, 6302, 9724, 8114, 5562, 1243, 555, 9658, 6517, 8332, 2854, 4511, 17, 6910, 4467, 2516, 6800, 7070, 7893, 1737, 8337, 9743, 1562, 2405, 7832, 3135, 1290, 9517, 7723, 2661, 5836, 8727, 4030, 5459, 2698, 9666, 7312, 1461, 5945, 7035, 4809, 605, 3262, 488, 4087, 4675, 2122, 5284, 2207, 9947, 4273, 7569, 5607, 9545, 2739, 4692, 1890, 1269, 272, 3630, 6121, 4671, 4468, 1441, 3794, 8211, 7418, 6984, 2085, 8447, 3603, 4943, 2445, 3289, 9797, 8171, 3736, 7290, 9770, 3592, 8725, 238, 1920, 910, 1294, 40, 315, 3400, 127, 8455, 3166, 3247, 4618, 4987, 9449, 5863, 8394, 5859, 4869, 3119, 6463, 3818, 9180, 6035, 8931, 3778, 8708, 8369, 4576, 1971, 4043, 1648, 8178, 3995, 4932, 5148, 6997, 916, 8928, 3735, 9604, 1317, 7625, 3893, 4569, 975, 582, 6957, 2920, 3628, 1975, 5962, 5804, 2359, 2593, 7443, 3108, 3746, 8076, 9639, 8012, 2941, 4059, 8110, 8251, 2539, 7520, 5381, 3586, 9214, 2279, 917, 7369, 6067, 7908, 3072, 9916, 73, 167, 4197, 4015, 8817, 100, 9654, 4712, 223, 8822, 6037, 6699, 1933, 34, 9136, 3882, 2631, 1155, 515, 4833, 3827, 9751, 4559, 6691, 8802, 4901, 9741, 8066, 5823, 3252, 4021, 8088, 8892, 2871, 490, 5416, 2070, 8385, 9758, 8481, 8162, 5886, 1897, 1852, 9081, 9845, 3934, 6919, 9685, 7584, 9530, 5623, 1328, 2605, 4686, 5346, 2805, 5111, 7391, 7522, 6602, 8495, 3708, 3726, 935, 5476, 7023, 1564, 5717, 1245, 607, 3128, 6123, 4596, 5991, 195, 4389, 7859, 7208, 2255, 6796, 5115, 2475, 2559, 3847, 2752, 3255, 1459, 9022, 2790, 4558, 4776, 2376, 6341, 6259, 2784, 8604, 5213, 5794, 813, 1051, 6242, 1410, 8443, 5826, 8284, 9381, 2084, 7129, 6581, 5775, 2842, 7623, 8981, 1708, 7288, 1733, 7921, 7615, 8862, 7260, 3900, 9914, 8715, 6134, 1335, 3929, 3171, 3695, 7678, 9667, 8828, 7161, 3951, 2078, 1590, 5055, 6392, 5137, 9936, 2818, 6819, 8414, 4961, 2289, 5565, 9250, 4361, 6212, 9135, 1906, 7924, 5870, 5294, 1466, 6082, 58, 6217, 8824, 6928, 2641, 4461, 2511, 1735, 2554, 9566, 8784, 2353, 2192, 7845, 9041, 9163, 3448, 5789, 9294, 9939, 4674, 8087, 8783, 9361, 6435, 6201, 5932, 5752, 1944, 6930, 3560, 6211, 1070, 978, 779, 2404, 1083, 8358, 1021, 3662, 7960, 1970, 5088, 1164, 2755, 4988, 5874, 3352, 214, 1862, 9555, 9836, 551, 5272, 6915, 9900, 4356, 7466, 2482, 800, 6917, 7862, 2646, 1784, 7041, 7642, 6120, 9573, 5846, 3820, 2795, 1593, 3110, 9907, 3103, 8598, 4116, 5372, 4939, 7690, 7174, 9284, 9322, 8550, 7064, 1526, 8468, 4865, 7472, 7263, 2967, 57, 8000, 9477, 2727, 5277, 2319, 708, 8452, 5436, 7188, 7178, 8423, 5465, 3684, 7212, 1436, 8636, 2197, 5439, 3835, 5612, 9772, 4205, 2803, 7611, 600, 5254, 1258, 4751, 3776, 1071, 8893, 4115, 5449, 6797, 1507, 4660, 5162, 5397, 1013, 871, 2263, 5429, 3901, 5686, 9273, 9523, 2048, 8698, 5393, 6492, 2108, 2372, 7675, 5136, 9562, 5402, 8193, 7956, 2025, 7255, 8077, 3161, 9256, 1147, 7394, 1324, 989, 5513, 3377, 6634, 6018, 4321, 3878, 6066, 5247, 3922, 1921, 5067, 3562, 6150, 9752, 4482, 7440, 1333, 5780, 2232, 2765, 4118, 9498, 778, 2079, 1550, 9292, 3380, 4815, 6757, 3645, 6595, 8548, 1377, 2272, 114, 9597, 7189, 6956, 4465, 9221, 3488, 4787, 6226, 1339, 4545, 7720, 9172, 470, 6243, 9913, 7767, 1742, 4874, 5072, 5073, 7534, 868, 8208, 7699, 5064, 4363, 1497, 1698, 2585, 9858, 7829, 1097, 8678, 6852, 2096, 7710, 3483, 1551, 3480, 7310, 6189, 3264, 4053, 6629, 5075, 6076, 8777, 6313, 2893, 5370, 1125, 7097, 9153, 3461, 8344, 6587, 4223, 9656, 7050, 2437, 6895, 7834, 4129, 7579, 9283, 3542, 2454, 822, 7325, 1908, 790, 617, 5647, 8339, 1569, 3589, 9747, 1762, 9927, 8177, 3576, 7818, 2150, 9909, 1108, 8649, 2128, 113, 8325, 7462, 9925, 1, 4524, 7112, 8578, 9345, 8033, 4079, 2992, 6407, 9189, 6131, 1304, 7905, 5157, 6586, 3669, 2714, 5458, 8533, 3462, 4723, 8775, 3733, 2547, 2328, 7468, 8798, 7215, 2362, 207, 1489, 6739, 2720, 7493, 4009, 1140, 7138, 2572, 6151, 4958, 6894, 8706, 5240, 810, 2156, 2318, 919, 1463, 6107, 5125, 179, 2131, 7140, 4444, 1455, 8147, 2831, 225, 3056, 2293, 8425, 3839, 50, 7938, 4096, 6790, 568, 7705, 3327, 5063, 325, 9575, 5371, 8987, 3222, 6683, 9659, 2136, 448, 5574, 5373, 160, 2966, 7269, 6321, 2448, 3456, 6188, 8373, 2924, 5114, 920, 7228, 1501, 1863, 9398, 7025, 5655, 7927, 4848, 8529, 4509, 1813, 685, 1234, 5776, 2931, 8610, 353, 811, 4619, 7445, 3482, 5535, 538, 4243, 9268, 3396, 4999, 7254, 245, 5509, 5915, 9146, 7796, 3578, 1300, 3991, 4743, 9779, 8687, 661, 4352, 8312, 5313, 533, 644, 2165, 8275, 2063, 8329, 8323, 307, 5892, 6439, 7857, 9397, 3810, 1270, 4472, 7655, 4802, 550, 2030, 8953, 7273, 4661, 3271, 6548, 9245, 1838, 203, 2583, 323, 1203, 872, 3880, 180, 9354, 9481, 7779, 7078, 9558, 1741, 6847, 3738, 255, 7586, 6272, 3597, 5568, 897, 8273, 9581, 1768, 7910, 3285, 6114, 3967, 8485, 4411, 9083, 2650, 981, 1545, 3977, 7934, 2123, 8407, 8267, 7381, 5140, 4431, 4390, 1563, 4206, 9447, 3751, 6420, 6876, 1548, 4078, 553, 2627, 9183, 6815, 6526, 8184, 3248, 8806, 7376, 693, 5173, 9875, 4477, 3954, 2936, 3865, 8562, 8411, 9599, 64, 7234, 375, 1278, 3771, 838, 6193, 6842, 5937, 8483, 7364, 6779, 4235, 3326, 9985, 713, 7294, 4573, 6279, 6923, 6599, 2312, 8099, 4812, 1934, 8302, 4552, 8791, 5339, 8854, 1273, 8503, 7551, 4669, 8895, 1054, 7352, 727, 8486, 8594, 1952, 2716, 6179, 4366, 8823, 300, 6199, 5795, 5336, 5065, 6681, 4111, 1151, 330, 6897, 6390, 8174, 901, 5683, 1282, 2403, 1728, 8123, 5532, 6026, 908, 3194, 8065, 2366, 5852, 6003, 3884, 9040, 5089, 4808, 3269, 2236, 9551, 4095, 2822, 3717, 1445, 547, 9489, 5001, 46, 8570, 2224, 3848, 9901, 5028, 9570, 1943, 2614, 7187, 861, 682, 5263, 4272, 1931, 1723, 9178, 7627, 572, 7132, 7280, 3573, 8946, 9237, 359, 8619, 1053, 6690, 1967, 7719, 8804, 6207, 1876, 7117, 9554, 7518, 3529, 3295, 9302, 8168, 91, 1218, 2993, 902, 68, 2388, 2198, 3342, 3152, 2712, 4100, 7417, 4134, 7093, 7837, 8015, 8372, 1470, 5404, 1434, 6636, 2042, 3020, 1287, 5471, 9944, 8622, 2702, 6165, 4571, 9164, 2129, 2914, 7224, 9204, 4424, 3870, 3838, 4501, 7118, 1263, 9539, 2689, 1535, 2834, 3928, 7512, 913, 5007, 8575, 4900, 9200, 8220, 5508, 8913, 7959, 539, 8634, 4826, 8270, 818, 2305, 1508, 6754, 3631, 7550, 9036, 7384, 1113, 771, 6601, 187, 6925, 7156, 6294, 6995, 2602, 2021, 7373, 2812, 6367, 3414, 8173, 3872, 5606, 6333, 9824, 6042, 8722, 5225, 6287, 8813, 2382, 3378, 3299, 2135, 9359, 623, 5670, 6632, 1666, 9653, 8038, 3558, 3877, 4220, 2906, 6266, 5777, 6308, 9307, 8180, 3796, 475, 6707, 3728, 8179, 5420, 1202, 5923, 4433, 296, 2757, 6408, 3434, 2566, 2459, 9932, 5551, 648, 8882, 4964, 5170, 258, 7431, 4160, 6159, 1006, 4350, 7305, 5319, 185, 7971, 6195, 9240, 1923, 953, 2591, 6250, 2485, 9160, 4316, 7896, 4884, 6946, 1919, 1962, 2562, 9238, 9017, 6260, 4823, 8201, 1976, 3242, 3549, 9206, 9453, 1302, 4457, 4041, 5258, 5059, 7842, 9806, 7630, 309, 1839, 1239, 9882, 8293, 9965, 6092, 6960, 3961, 6831, 1400, 8506, 2982, 3153, 3834, 1528, 1110, 5246, 4643, 7409, 2278, 8773, 3231, 6176, 7278, 8761, 8662 ], [ 2596, 6854, 8026, 2407, 4201, 7, 3107, 1977, 8872, 5187, 9814, 67, 863, 7038, 6515, 5116, 8677, 149, 1842, 7246, 2479, 5968, 7869, 8738, 1128, 7149, 2794, 8885, 7219, 2409, 8664, 8502, 8109, 5430, 666, 5720, 2909, 4149, 7632, 9553, 7503, 1474, 7068, 5189, 2152, 3183, 1250, 4620, 4925, 7183, 4929, 6089, 7835, 2569, 6143, 9171, 7884, 9963, 2303, 754, 9363, 6510, 2938, 3466, 4105, 4048, 2226, 9045, 8655, 6572, 5042, 4762, 5107, 4211, 4880, 1175, 5630, 2713, 7324, 5128, 815, 2958, 1756, 1539, 4882, 8138, 5194, 8079, 3849, 7184, 6356, 4073, 3990, 7083, 710, 6013, 3801, 5665, 4191, 9451, 4229, 1102, 4597, 8290, 3807, 4303, 8601, 909, 2314, 7617, 7587, 7099, 8754, 4627, 7721, 4006, 2481, 4679, 2464, 2471, 6170, 3557, 2968, 9945, 859, 3614, 1472, 2722, 2867, 7809, 763, 9077, 8983, 6218, 4867, 4475, 2099, 3946, 6129, 1036, 3004, 7649, 3220, 1122, 6622, 9975, 194, 3300, 8125, 6298, 1073, 4377, 97, 3147, 7170, 9151, 1869, 7461, 1433, 2611, 2940, 4204, 8036, 1358, 7494, 1419, 8976, 4210, 2949, 1646, 2565, 316, 7948, 5586, 8527, 2410, 3410, 8150, 9156, 3286, 3781, 124, 5898, 3686, 9876, 2538, 4310, 3324, 1024, 5743, 6716, 6583, 5992, 4989, 3570, 7350, 3475, 7810, 1631, 9388, 5092, 369, 3026, 2999, 9769, 1715, 970, 5257, 8303, 748, 4944, 2672, 5139, 4616, 2622, 3588, 38, 946, 4568, 9420, 996, 4262, 8278, 9577, 3102, 2952, 4529, 440, 7811, 8192, 9149, 7216, 5949, 6225, 6569, 2389, 2878, 8415, 2360, 669, 5334, 1413, 8731, 6103, 4157, 1598, 7285, 6326, 8217, 2835, 5875, 7644, 6709, 3803, 3473, 2557, 3287, 8144, 5976, 2973, 3903, 5103, 6163, 5548, 2640, 8661, 3032, 6855, 9856, 6348, 5087, 8692, 2601, 4512, 3346, 7297, 8553, 2832, 6911, 4722, 7343, 8430, 9231, 3439, 8313, 6772, 9165, 6078, 8938, 5744, 5774, 2427, 7007, 5974, 622, 9926, 5003, 6936, 4005, 1038, 706, 1680, 2809, 1098, 398, 4673, 7567, 4822, 4109, 7511, 8870, 4761, 7169, 1196, 943, 6347, 6442, 3612, 1380, 3994, 3208, 8852, 7200, 4198, 5756, 4102, 3371, 2110, 4172, 6669, 2746, 7790, 8782, 4050, 6276, 4447, 6737, 4032, 5733, 4872, 8602, 4577, 2218, 3218, 3397, 5538, 9859, 664, 7939, 489, 3596, 5164, 6005, 3861, 2059, 2105, 4331, 5106, 9981, 9999, 7412, 4070, 7090, 7185, 5167, 6443, 1305, 7932, 8684, 5298, 7136, 5504, 4749, 4093, 3824, 7024, 7903, 7152, 6017, 4990, 1446, 7964, 4362, 7733, 9454, 7332, 4713, 8478, 7474, 6992, 7976, 1612, 5598, 2576, 5591, 7043, 394, 6307, 4119, 2190, 3328, 5314, 6353, 4824, 4933, 9269, 5905, 2850, 8779, 6924, 4263, 4904, 1072, 4551, 6414, 6926, 1391, 9733, 6267, 8356, 4983, 1885, 7221, 4419, 2579, 4892, 3050, 6027, 7626, 8614, 2049, 1189, 8657, 7864, 9377, 566, 9677, 108, 8096, 3668, 7616, 8970, 4792, 3561, 5659, 3618, 9445, 6400, 7748, 7100, 805, 3523, 1276, 4080, 131, 4773, 7739, 7084, 9018, 1123, 159, 5223, 5580, 3780, 1722, 5544, 3489, 3157, 3045, 3416, 3318, 2733, 9235, 9605, 2329, 2570, 1181, 8826, 736, 5018, 8537, 6312, 7937, 9511, 8663, 8437, 6927, 9157, 5527, 1686, 9425, 8347, 9698, 4177, 8873, 4632, 8400, 688, 2313, 8426, 8629, 7413, 1011, 2386, 8999, 8864, 7902, 8238, 9931, 5375, 1777, 3360, 791, 4127, 7506, 9744, 7808, 1542, 213, 7403, 6994, 6115, 7406, 9505, 9344, 391, 686, 671, 587, 7778, 1330, 295, 3459, 2994, 257, 5084, 5748, 5049, 6743, 583, 924, 7501, 2436, 684, 3059, 7193, 9898, 2978, 5556, 2077, 2196, 5290, 4076, 7641, 5366, 6113, 9937, 6748, 6544, 5466, 6388, 5855, 5791, 3357, 773, 5442, 3516, 5038, 7768, 1810, 1296, 1982, 7032, 3403, 5909, 9953, 4416, 3163, 6496, 3359, 5212, 1420, 8876, 1109, 2423, 1076, 2351, 3902, 8489, 8921, 6331, 3913, 8482, 7797, 4251, 9699, 1900, 1252, 2147, 9857, 725, 5765, 7158, 8860, 9475, 7206, 9182, 2502, 3950, 1146, 1063, 4436, 7981, 1871, 5602, 7014, 7492, 4887, 8003, 4293, 3130, 5388, 7240, 2345, 2858, 6929, 540, 5415, 6484, 2118, 6062, 3758, 268, 947, 5151, 7589, 6421, 1858, 7701, 9287, 3041, 9881, 8912, 6154, 5332, 5153, 5197, 3845, 4938, 7629, 2094, 4741, 9362, 6216, 8942, 2987, 6382, 4323, 9374, 7716, 7265, 7308, 4335, 9267, 1360, 3030, 4453, 586, 3914, 65, 8820, 2306, 7830, 9534, 2320, 9946, 5685, 1141, 1649, 9373, 6285, 7843, 42, 9137, 8035, 3099, 7515, 7467, 1776, 7757, 7081, 8158, 2093, 3092, 6095, 1938, 7712, 2542, 746, 6546, 4602, 4693, 5897, 1023, 2082, 8106, 6271, 1119, 7679, 3226, 416, 1690, 5391, 6541, 3605, 5908, 3463, 4324, 2141, 6582, 7668, 1224, 3521, 492, 8186, 2447, 3519, 4670, 1795, 8839, 4106, 8831, 519, 2623, 361, 8235, 3425, 6898, 7368, 5356, 6023, 7019, 1845, 3813, 3006, 2724, 1927, 531, 8205, 9537, 4745, 9089, 3787, 9586, 1033, 6547, 8232, 6144, 9421, 336, 4454, 9707, 2860, 9917, 8271, 5572, 1847, 8272, 9090, 90, 3799, 102, 9640, 3350, 196, 3936, 5972, 7313, 6006, 3648, 6827, 4543, 9365, 9951, 7380, 5955, 8322, 3419, 3405, 6147, 4342, 1143, 549, 333, 1207, 781, 2939, 5505, 9507, 2310, 7514, 8072, 7296, 3196, 9650, 8515, 8198, 1480, 3825, 2238, 4426, 789, 9626, 2397, 1004, 1765, 5176, 6139, 142, 2243, 7891, 303, 2841, 3601, 5938, 8349, 229, 5384, 4816, 8728, 530, 3933, 6891, 2674, 3582, 1443, 8904, 640, 1355, 6384, 9974, 1558, 1246, 6058, 9215, 2638, 7878, 1597, 5456, 2856, 6805, 6094, 5098, 8863, 6061, 2741, 5549, 5086, 4968, 9643, 9661, 1603, 3789, 28, 5271, 6457, 8815, 7393, 7495, 1001, 8428, 7056, 8252, 9433, 7786, 1936, 134, 3150, 714, 459, 4192, 3509, 1898, 7272, 3493, 3986, 7322, 5110, 3112, 9710, 6870, 7484, 9358, 2489, 4089, 1721, 8652, 2754, 767, 260, 2913, 4926, 8354, 5571, 9861, 7892, 5750, 4166, 2398, 8285, 3534, 146, 346, 2209, 2315, 7011, 8244, 6640, 4413, 2785, 4889, 9696, 8630, 4338, 4445, 4504, 2802, 7123, 3490, 6853, 1881, 999, 9429, 2980, 276, 1956, 5252, 3918, 2617, 4527, 1901, 7795, 1266, 9186, 5707, 6004, 2185, 1331, 8408, 756, 5379, 8786, 772, 3051, 9134, 2730, 9512, 4638, 6376, 4768, 8247, 3502, 882, 5182, 9503, 444, 5993, 925, 4896, 56, 5628, 4404, 6049, 2256, 922, 3689, 5113, 145, 9222, 6284, 4746, 2945, 9066, 4071, 9458, 170, 4844, 6829, 9, 6938, 7457, 9980, 6466, 379, 2400, 3623, 2343, 5006, 8840, 244, 7713, 7717, 5798, 9843, 5997, 8780, 1465, 6140, 3237, 2408, 2225, 3429, 4038, 6659, 6031, 263, 719, 7139, 9615, 9297, 9735, 8535, 6983, 7526, 3527, 5626, 2779, 8223, 427, 7133, 1298, 5027, 8717, 4162, 2961, 8768, 9188, 2067, 1886, 4738, 2317, 7603, 6575, 849, 5523, 1670, 5767, 1416, 7942, 9442, 1456, 761, 8341, 6467, 5127, 2205, 9986, 711, 7930, 3883, 4652, 2095, 3143, 47, 1235, 6456, 2528, 3804, 4450, 8712, 494, 1343, 4328, 9921, 8589, 7456, 7111, 6228, 6532, 4158, 6832, 5008, 1225, 7088, 1674, 8803, 2648, 8693, 3256, 7172, 8117, 5044, 3675, 5362, 4380, 3957, 870, 4567, 1770, 3697, 5759, 3916, 279, 1660, 8363, 631, 938, 3120, 22, 2413, 8311, 8255, 3583, 6685, 7151, 8709, 7660, 6866, 8386, 9607, 7915, 1428, 3671, 740, 1736, 963, 9515, 1725, 1285, 2756, 2669, 2469, 8934, 1913, 5135, 4046, 9840, 9154, 3068, 7207, 6200, 4388, 1329, 9712, 8082, 7693, 1536, 2065, 8651, 4574, 2890, 5643, 6468, 6966, 3111, 1825, 7347, 8031, 6531, 9690, 5919, 9848, 9528, 9888, 3261, 9870, 1242, 3132, 8685, 6450, 433, 4365, 2771, 5264, 4176, 9585, 5327, 1738, 366, 1882, 715, 1667, 3362, 8764, 1907, 8516, 2836, 1308, 3200, 9375, 1150, 2145, 2737, 4975, 7607, 501, 6311, 2686, 3921, 8524, 2013, 3214, 3679, 3170, 7150, 527, 2634, 4012, 819, 2264, 6794, 9588, 4302, 7253, 3641, 9895, 7473, 463, 8402, 5661, 5305, 7979, 6843, 5627, 9389, 9492, 7732, 2043, 9678, 4216, 3189, 3579, 3202, 3392, 3938, 8203, 7840, 8974, 6978, 8605, 5737, 1241, 6823, 7145, 702, 5518, 7945, 7453, 985, 9087, 1138, 4912, 6119, 8154, 6453, 6996, 9219, 5871, 1627, 3253, 2652, 2164, 6081, 6861, 9057, 8935, 2195, 7824, 2510, 4261, 7300, 1560, 7925, 2100, 9144, 5398, 9140, 1227, 1444, 5884, 5529, 4401, 4399, 9938, 5168, 3116, 5218, 8857, 3768, 820, 5954, 7106, 984, 1957, 1272, 7030, 1232, 93, 8877, 5764, 542, 1779, 2673, 6913, 6833, 3944, 6763, 8213, 5495, 9839, 7581, 998, 5076, 739, 6773, 178, 6366, 4902, 6638, 1918, 3855, 5451, 893, 966, 5716, 9048, 4740, 2701, 4367, 847, 7728, 7775, 665, 4408, 5540, 7899, 2762, 5475, 775, 4491, 3276, 6432, 8389, 6214, 7476, 2336, 9423, 9300, 7045, 374, 6503, 9818, 6110, 558, 9320, 9672, 6654, 4647, 1873, 4711, 5227, 3329, 2984, 1003, 6109, 1367, 499, 1516, 9567, 8532, 4481, 2821, 2947, 5121, 4003, 5913, 528, 4207, 6902, 422, 8964, 1496, 8816, 5845, 1191, 4023, 6865, 2644, 9116, 1672, 692, 5183, 204, 6447, 2316, 1511, 8590, 9915, 3881, 8659, 9335, 1037, 6487, 4181, 7992, 6346, 53, 2010, 1713, 5990, 6167, 2089, 802, 7646, 382, 3492, 1834, 9633, 9155, 7000, 2888, 1988, 4771, 7195, 4513, 9033, 5260, 9676, 4394, 6141, 1574, 7760, 7167, 729, 2484, 101, 9051, 4784, 3634, 4054, 7274, 1990, 546, 7013, 4562, 3485, 5461, 4563, 3844, 6418, 8689, 3422, 6230, 5152, 6649, 7881, 4161, 8546, 1778, 5282, 7563, 95, 9556, 5191, 821, 2544, 6009, 2594, 112, 9024, 5555, 6118, 7362, 5738, 7282, 4957, 1288, 7168, 1969, 4835, 4586, 3638, 4065, 4268, 4456, 1055, 6630, 4549, 3398, 5262, 3149, 2685, 7527, 318, 9521, 117, 9705, 2604, 9721, 9228, 5746, 2587, 1274, 2568, 9838, 6314, 2393, 3404, 3322, 7598, 8830, 1452, 2882, 6329, 7293, 5287, 5951, 1959, 9356, 5507, 6901, 5858, 5911, 6315, 2896, 9966, 474, 8814, 2171, 4061, 2037, 5490, 9170, 8379, 8703, 9124, 5768, 6334, 7446, 6846, 5561, 6405, 7400, 8202, 7849, 2983, 1170, 7666, 4852, 9683, 9176, 1787, 18, 8253, 25, 1244, 8890, 3474, 2112, 5704, 9601, 378, 9387, 3619, 8089, 3635, 2655, 1605, 747, 8997, 320, 3203, 5360, 9990, 4430, 7531, 1389, 8274, 9821, 2029, 1515, 6283, 6724, 4101, 4379, 4081, 4437, 1586, 8424, 7879, 2392, 7480, 7483, 6036, 520, 1187, 7197, 4931, 3935, 8769, 5275, 2332, 6187, 5864, 4495, 5082, 6518, 6781, 2515, 8789, 2774, 961, 9689, 3559, 8170, 7802, 780, 8920, 246, 8061, 7813, 3949, 4287, 6024, 5454, 5499, 9762, 7080, 6511, 9636, 3912, 4716, 6293, 184, 2441, 3118, 3265, 9569, 7164, 2348, 6472, 6136, 5071, 652, 6835, 6458, 3952, 4296, 2571, 3083, 703, 81, 9834, 5817, 7299, 741, 9727, 9355, 8260, 200, 7292, 2864, 4615, 5714, 9291, 1767, 8451, 7749, 2551, 8929, 6202, 8834, 1350, 1682, 8947, 9211, 4353, 6552, 2187, 6172, 3647, 5040, 1153, 2235, 574, 7022, 6985, 3106, 7357, 7199, 6674, 9675, 823, 4014, 8747, 3412, 675, 4217, 6939, 9026, 8155, 8328, 2526, 2182, 2533, 3552, 8563, 5259, 3065, 431, 2833, 9123, 7848, 8902, 2149, 3868, 4228, 5503, 7727, 414, 7059, 1747, 9464, 381, 7500, 3057, 8438, 9177, 71, 5489, 9239, 4292, 5588, 8753, 1374, 5603, 6301, 7906, 2032, 7612, 6921, 8941, 6162, 3718, 9592, 6328, 3580, 7982, 7990, 804, 4034, 1525, 3652, 8159, 5237, 372, 7331, 6362, 4984, 7780, 1045, 9259, 9121, 7374, 3479, 6656, 2787, 424, 4355, 1313, 1477, 651, 4091, 3802, 1543, 496, 3034, 9686, 8185, 4029, 8043, 9542, 4783, 1671, 5841, 1262, 8973, 3088, 5172, 2556, 4871, 8246, 3660, 4171, 9265, 7108, 760, 2064, 7613, 738, 5833, 1637, 4624, 7165, 2107, 5829, 8549, 6673, 1534, 289, 3151, 7012, 6971, 4969, 1484, 1678, 2062, 9972, 7833, 1752, 1589, 5315, 498, 7402, 5100, 6977, 9764, 6130, 575, 8671, 9732, 6662, 9787, 7251, 2121, 1567, 4954, 4143, 7358, 5697, 5382, 9708, 6264, 5455, 3049, 6354, 2725, 3121, 2934, 2298, 9561, 4921, 6379, 6875, 2364, 7033, 6231, 9225, 1502, 4418, 4494, 6460, 2378, 8156, 4047, 9328, 3553, 8835, 6254, 2212, 6240, 1899, 584, 8005, 287, 7554, 6380, 2208, 8948, 7452, 7928, 6896, 13, 6084, 8115, 9763, 9943, 8957, 1048, 4546, 6770, 241, 3760, 6064, 2520, 8427, 4260, 130, 9789, 2881, 2002, 8682, 2286, 3565, 9119, 8073, 3445, 7399, 2266, 6786, 2269, 8952, 950, 9257, 3673, 2814, 1352, 8915, 5158, 4581, 8565, 4250, 7323, 2508, 2027, 751, 2783, 5666, 9688, 3593, 7684, 9152, 3788, 7911, 8345, 3353, 7821, 7113, 6811, 2493, 2758, 1924, 6753, 4970, 1726, 5936, 526, 6735, 5424, 4405, 4934, 3173, 7114, 8859, 1658, 348, 6304, 2371, 3917, 7965, 1553, 3250, 4357, 5479, 8104, 4718, 7360, 4004, 2220, 6494, 2863, 5024, 8296, 3591, 2472, 2159, 1724, 8624, 9101, 452, 3993, 9825, 2438, 4052, 1139, 1925, 2299, 5641, 2543, 4737, 4094, 6557, 6297, 3897, 5762, 8417, 2676, 3683, 3945, 2, 3238, 11, 7671, 1917, 8037, 3251, 936, 7547, 2460, 2766, 4218, 7405, 8176, 9295, 6534, 1467, 89, 3943, 4854, 6558, 3259, 5856, 3821, 8580, 9877, 2567, 1292, 2416, 2381, 466, 4000, 687, 2796, 1177, 5879, 3086, 7465, 8488, 4231, 3505, 2683, 7009, 9700, 3027, 6291, 6633, 4930, 6028 ], [ 9873, 3720, 3575, 7275, 4991, 8887, 7685, 121, 1935, 6740, 5269, 7046, 6738, 3698, 6357, 9767, 2228, 1403, 2097, 3361, 451, 5933, 4439, 8215, 3430, 3421, 5625, 9125, 8521, 6516, 4480, 252, 5015, 3782, 2045, 8199, 4397, 8676, 7153, 3394, 8, 959, 4214, 4232, 6537, 9719, 1755, 4793, 1268, 4283, 6922, 3969, 4452, 5500, 4655, 5546, 8330, 5493, 8869, 1334, 3093, 7270, 5600, 1582, 630, 7122, 1464, 1537, 3266, 8113, 1215, 7471, 1049, 6417, 1928, 3016, 6615, 7650, 9115, 0, 5438, 927, 8585, 7241, 80, 1180, 8757, 8227, 249, 6593, 7245, 1409, 7356, 3685, 6741, 6441, 6768, 2899, 7047, 7999, 3268, 5824, 7281, 8765, 3446, 8880, 1695, 3908, 9426, 5457, 2160, 8281, 895, 8029, 6038, 5770, 5558, 5834, 2735, 1687, 8812, 9393, 3022, 400, 3895, 3676, 3587, 8326, 3370, 9096, 4977, 3190, 9168, 759, 8305, 1651, 5975, 8695, 7799, 8628, 5888, 5891, 3212, 2944, 6152, 104, 2241, 9680, 2463, 3246, 99, 6967, 7089, 9062, 2250, 1681, 1176, 6350, 7411, 8413, 3215, 6836, 5311, 7698, 8121, 9998, 8228, 6502, 662, 1238, 7800, 8833, 6478, 4308, 5469, 1213, 4547, 7490, 6775, 4893, 534, 3383, 2592, 5484, 454, 2127, 4782, 2507, 477, 523, 3923, 5593, 5423, 6536, 2334, 419, 8971, 3391, 2851, 2855, 2173, 6053, 2681, 9791, 7875, 5899, 5660, 7831, 2903, 7689, 846, 8621, 3688, 1849, 9067, 9166, 493, 8797, 7042, 1633, 197, 4092, 2889, 8595, 3325, 1585, 6817, 2721, 2111, 3504, 9432, 7841, 3798, 5793, 6044, 8161, 4946, 1309, 5816, 9071, 3687, 1223, 9086, 5533, 593, 7946, 5883, 2425, 7882, 1848, 8262, 5695, 580, 988, 4851, 2451, 8165, 1966, 4435, 803, 2428, 8392, 4945, 8884, 1188, 1092, 9479, 1828, 6998, 62, 6711, 3069, 9644, 3160, 5188, 7969, 7079, 8445, 2186, 4560, 841, 6102, 267, 5448, 7536, 2458, 3275, 4689, 5818, 305, 5464, 6668, 2807, 2374, 2335, 8522, 7614, 8925, 6591, 3464, 777, 5165, 9487, 5330, 6128, 111, 6976, 61, 9234, 5861, 4025, 380, 7444, 1951, 3181, 2302, 3955, 5614, 8019, 5583, 1808, 1730, 8135, 6148, 1438, 2415, 3314, 2174, 9218, 3076, 1799, 5934, 3308, 2368, 6784, 2261, 888, 6720, 6953, 7597, 9061, 1495, 7182, 2748, 5210, 8686, 1087, 5450, 4463, 5885, 8062, 4684, 9874, 9524, 8874, 9132, 2951, 7537, 3138, 5363, 4607, 35, 3440, 1739, 3842, 1010, 8975, 4920, 7203, 9878, 8504, 6676, 1937, 6742, 1158, 8439, 5622, 9496, 3574, 6169, 9032, 5365, 186, 5032, 1478, 6071, 2036, 5982, 4212, 7401, 3626, 507, 79, 429, 7993, 1425, 1411, 5374, 2268, 2753, 1453, 4448, 4488, 9248, 467, 9007, 2879, 7419, 9296, 6205, 3980, 1318, 977, 9765, 7555, 7751, 6708, 3907, 8353, 5629, 6483, 2080, 2267, 595, 1893, 311, 5819, 5985, 690, 1812, 3134, 1085, 6804, 9983, 4919, 6556, 2927, 1771, 7972, 4039, 1709, 2840, 6419, 4790, 8832, 6628, 8733, 2390, 3077, 7307, 642, 7426, 1626, 7894, 7620, 1734, 705, 4645, 2598, 4699, 7978, 1930, 8683, 4044, 4343, 2284, 7540, 3113, 7585, 7277, 4883, 2549, 3644, 5637, 9833, 8006, 357, 6385, 6694, 9768, 2124, 5589, 4103, 1625, 8567, 2846, 3008, 8008, 6533, 497, 3563, 105, 9822, 7564, 5838, 8843, 3979, 3656, 9776, 2687, 24, 156, 314, 1448, 1955, 1979, 2955, 9120, 3716, 5295, 4422, 7546, 332, 8771, 2664, 3305, 2081, 944, 1057, 1442, 9055, 3590, 794, 9602, 6296, 7209, 4897, 5673, 2930, 2401, 9411, 7509, 7683, 9343, 9277, 8350, 6651, 5730, 9538, 6360, 3646, 1261, 7067, 8032, 7855, 8626, 8577, 317, 8794, 6725, 1179, 399, 8759, 3800, 2668, 7021, 1499, 6944, 4759, 731, 2028, 4888, 9919, 4899, 5806, 6425, 3424, 7624, 5924, 8231, 8307, 8531, 7801, 9385, 4680, 5481, 3905, 628, 2092, 1706, 7096, 6168, 9402, 8729, 6446, 3094, 9334, 3898, 1811, 1783, 8352, 4779, 5321, 8336, 1509, 4906, 5483, 616, 6863, 2076, 181, 7825, 5956, 7656, 1565, 9276, 2866, 2006, 4291, 3468, 3228, 9329, 9474, 5877, 9782, 9280, 9560, 3340, 6371, 6241, 8074, 423, 7363, 1618, 5421, 2172, 3169, 3997, 9885, 6079, 1192, 5368, 9384, 6798, 7015, 9068, 3567, 9285, 1074, 3886, 6482, 174, 2323, 8734, 8674, 6883, 6021, 8242, 2161, 3811, 2245, 6607, 6785, 3417, 5019, 4962, 2061, 3533, 1120, 8700, 2384, 2086, 9731, 8650, 9823, 8298, 6792, 2387, 3805, 4213, 7851, 2026, 9050, 7061, 5987, 5364, 991, 8264, 3317, 8528, 227, 4905, 8028, 4327, 9263, 1100, 7648, 8631, 6893, 5510, 3947, 801, 9093, 2522, 9414, 8673, 1611, 3770, 7919, 6327, 3185, 484, 860, 2534, 6245, 8573, 2618, 4067, 1134, 368, 9802, 5463, 182, 7336, 8229, 5634, 7566, 5882, 5462, 6714, 6787, 7876, 5109, 4107, 9463, 4608, 7001, 7121, 163, 3627, 8070, 8641, 2870, 306, 7987, 4334, 1476, 7706, 7355, 824, 5761, 7137, 3906, 7276, 954, 6598, 1079, 4090, 8164, 6164, 3508, 9637, 900, 1117, 7669, 9516, 7110, 7676, 5279, 7530, 1764, 3332, 7568, 5799, 7091, 7424, 2996, 2031, 2847, 2816, 6375, 9702, 2244, 1460, 188, 9798, 3742, 8688, 55, 5186, 376, 3254, 4395, 8801, 8131, 2580, 636, 5771, 4369, 2488, 6280, 4332, 5831, 6703, 9460, 8908, 3148, 5353, 4923, 9408, 1887, 5074, 9468, 6818, 6324, 783, 9274, 6409, 8991, 8046, 8222, 1817, 2339, 5590, 6869, 5105, 4705, 3910, 3517, 6782, 3471, 2068, 6728, 371, 6551, 9278, 4428, 5712, 1608, 2337, 3355, 106, 6616, 4165, 1573, 4319, 9150, 495, 5786, 5178, 2346, 286, 5300, 785, 3636, 1392, 562, 6538, 7776, 9649, 1997, 5206, 5827, 8900, 4136, 8085, 2883, 7853, 960, 8446, 4278, 6747, 8829, 2433, 6448, 8919, 3204, 9042, 2972, 2877, 9594, 6365, 5245, 5995, 1805, 1572, 890, 654, 352, 1703, 8545, 1994, 6717, 3658, 2820, 6234, 3795, 2492, 1948, 9908, 9820, 5497, 4187, 9902, 5177, 5217, 7238, 619, 3274, 6965, 8044, 6726, 7929, 3899, 3822, 4733, 337, 383, 2979, 9959, 4141, 6355, 3290, 8959, 2715, 5069, 2184, 3001, 3667, 5813, 1429, 1154, 3572, 2875, 828, 5053, 1965, 4532, 7836, 6256, 3608, 6904, 9301, 4294, 2550, 614, 9111, 6744, 2624, 7416, 4796, 7338, 3982, 1892, 2969, 6358, 571, 7736, 9766, 7261, 4654, 1267, 486, 9289, 5872, 594, 6394, 2929, 9367, 4694, 6540, 557, 3891, 7422, 8266, 9097, 49, 4886, 2531, 7785, 2729, 3282, 6578, 2020, 5101, 4685, 7996, 4125, 4113, 7125, 4337, 5163, 5843, 2848, 3046, 8853, 4175, 3731, 6045, 8836, 8993, 2857, 9338, 461, 3985, 1940, 3369, 7435, 137, 6954, 26, 8282, 438, 76, 405, 5034, 8067, 4406, 4432, 7947, 7092, 5144, 1401, 3653, 7819, 1652, 4420, 3427, 1958, 7486, 6528, 7521, 7970, 1315, 5581, 4234, 4164, 2341, 6820, 6882, 7860, 6706, 6083, 9105, 6206, 2918, 8403, 2981, 122, 1236, 2657, 8153, 1381, 293, 4729, 3629, 6970, 7301, 158, 5609, 7816, 5669, 2804, 795, 6751, 6374, 5960, 6033, 1748, 4358, 3423, 4351, 340, 5061, 8190, 7529, 4658, 9514, 679, 2512, 4425, 2642, 8609, 2518, 1275, 2113, 3850, 1790, 4265, 6715, 434, 9142, 4170, 2830, 4734, 3301, 7217, 5239, 1126, 4486, 8334, 609, 6122, 5179, 7580, 8461, 552, 3757, 613, 4297, 6828, 6590, 9378, 6316, 6858, 6034, 8749, 8101, 4960, 9619, 5807, 8058, 3748, 446, 8718, 3441, 1366, 3315, 2917, 8419, 1297, 7386, 1069, 2311, 1402, 9495, 9533, 3737, 3406, 6821, 9444, 7482, 880, 2776, 453, 1635, 9091, 1746, 3293, 4606, 723, 7750, 4267, 9034, 1697, 5594, 4836, 1954, 9864, 5939, 6268, 7395, 504, 2324, 4138, 7805, 2434, 221, 6592, 6288, 2322, 8591, 1719, 5961, 5542, 752, 8103, 3373, 84, 9620, 1547, 899, 2054, 8182, 2457, 1473, 6689, 1174, 9729, 9396, 7538, 4449, 6697, 7264, 3964, 9336, 9634, 7385, 8086, 5599, 8792, 9987, 4717, 4182, 4861, 3864, 3085, 4668, 6364, 9103, 4438, 6153, 1090, 6142, 3976, 2426, 5729, 6661, 3313, 3091, 3052, 3073, 5792, 6232, 9159, 4992, 8536, 9518, 655, 2868, 1332, 3712, 8871, 447, 6491, 5617, 3808, 1251, 1822, 5618, 9827, 275, 3154, 4548, 4056, 1793, 9100, 150, 3129, 5604, 8289, 4340, 367, 6695, 1782, 5742, 4233, 6550, 5043, 8301, 8320, 3911, 678, 9212, 2018, 1557, 5351, 9893, 4304, 7382, 1462, 7631, 4598, 4066, 9910, 1326, 2667, 744, 6339, 8401, 4364, 7608, 8236, 5526, 5312, 1293, 6606, 8361, 1364, 8901, 7508, 3021, 7635, 7822, 3852, 9714, 3401, 8496, 8969, 313, 4831, 1388, 8387, 5126, 1712, 3337, 5577, 2169, 3953, 7533, 3649, 2916, 1316, 1600, 7858, 4853, 4221, 6338, 5998, 6054, 4572, 8462, 9230, 5419, 439, 577, 6319, 6920, 9810, 3602, 3039, 3924, 9850, 2011, 1348, 4922, 4981, 5724, 2308, 2974, 1853, 152, 8967, 43, 5584, 4979, 5192, 8405, 4609, 6040, 6722, 2137, 5387, 2275, 7936, 9008, 1351, 6877, 9181, 1932, 5646, 5881, 7116, 980, 360, 3615, 3198, 2763, 2859, 9674, 8557, 7557, 6580, 1786, 4843, 4147, 4639, 6030, 2749, 2897, 6413, 9044, 7101, 2632, 9589, 1043, 9195, 4412, 2047, 4985, 85, 5812, 4040, 2500, 9401, 3117, 7134, 9819, 2053, 3693, 4153, 2872, 4333, 2933, 7794, 834, 2621, 1609, 5496, 8990, 2504, 1022, 3707, 9330, 639, 6337, 6043, 7415, 1198, 3606, 8551, 9796, 6378, 5918, 6289, 3551, 3706, 3104, 9557, 5036, 6281, 4803, 2178, 2071, 7702, 3376, 6617, 5830, 8523, 5745, 3537, 840, 3258, 6857, 683, 2204, 3939, 4024, 233, 32, 6303, 1602, 9929, 2691, 4498, 9286, 1531, 242, 942, 9552, 4913, 3600, 1260, 6605, 4610, 7204, 4496, 5876, 2986, 9088, 9997, 6459, 4862, 9948, 1415, 2798, 7020, 8160, 9716, 4662, 812, 3207, 9488, 6756, 4770, 7697, 1718, 1831, 9778, 7143, 5825, 5769, 9559, 9490, 8632, 3279, 6624, 7951, 9167, 6449, 4702, 1390, 883, 2530, 219, 128, 3784, 8897, 5973, 9935, 6377, 2898, 9501, 8926, 3856, 6812, 6471, 9428, 7606, 4963, 6477, 3958, 1826, 9995, 9012, 9364, 4478, 9194, 9298, 1000, 2905, 8047, 328, 8130, 1201, 472, 8230, 9005, 6718, 1751, 1212, 2606, 2119, 7031, 390, 592, 6521, 1112, 168, 2396, 3338, 8644, 1319, 5679, 1595, 3047, 4256, 4159, 6235, 5253, 4264, 5650, 4566, 3023, 4725, 2380, 6277, 2960, 3382, 3389, 5161, 1961, 4122, 1216, 2450, 3896, 8167, 9892, 3540, 33, 9326, 2862, 6184, 503, 8383, 1684, 918, 8120, 5947, 3302, 217, 401, 3281, 5691, 2788, 6731, 1171, 5324, 9738, 270, 1479, 5143, 698, 814, 8097, 9904, 6851, 1894, 5984, 1604, 6826, 9671, 2651, 5779, 7602, 5395, 8432, 365, 5285, 1636, 8556, 5579, 4841, 9868, 9353, 839, 2564, 4667, 7917, 6177, 1846, 3236, 9587, 2590, 3037, 4663, 9668, 7135, 9242, 9923, 2134, 4750, 875, 8681, 5390, 8021, 6712, 3486, 4678, 9651, 8956, 3100, 4274, 7609, 857, 559, 8540, 3374, 9187, 8207, 9616, 3543, 8842, 8404, 1485, 3536, 3501, 1194, 5200, 1346, 5557, 3140, 5651, 6657, 9249, 2852, 8317, 6126, 5674, 4820, 8374, 4690, 7075, 1880, 707, 7339, 5171, 6987, 462, 1056, 2707, 7754, 9549, 5337, 8856, 8277, 8045, 8945, 6626, 6275, 7588, 8477, 509, 8041, 2635, 5552, 6646, 4959, 650, 8799, 8732, 1568, 906, 4788, 6604, 1960, 226, 1182, 1105, 5244, 2446, 5091, 784, 6300, 176, 9318, 9847, 4744, 234, 3079, 5354, 6219, 603, 2734, 6490, 2922, 3920, 7591, 9246, 2582, 6389, 5506, 5417, 6935, 4471, 7328, 3245, 9325, 6322, 1929, 4398, 7914, 8691, 363, 8209, 8896, 3155, 7715, 850, 4318, 8124, 7346, 8847, 7592, 8212, 879, 2430, 5811, 7519, 2014, 1620, 1370, 7247, 7663, 681, 14, 4275, 1829, 2034, 9395, 4183, 2964, 3084, 2009, 6050, 6039, 7544, 8742, 8810, 9352, 6404, 5432, 3278, 9964, 8359, 5839, 4289, 9896, 525, 6117, 728, 2740, 3115, 8250, 4522, 8606, 21, 6509, 1271, 4709, 6566, 6087, 4622, 2653, 1946, 806, 4099, 928, 3793, 7922, 5224, 457, 9500, 5104, 2760, 4982, 9790, 4185, 7975, 8265, 4036, 59, 284, 1727, 716, 2732, 9192, 66, 5203, 3682, 7647, 7619, 8214, 3002, 7756, 6760, 5359, 9003, 177, 9720, 7109, 1607, 4550, 7769, 6864, 2772, 4859, 154, 2422, 4001, 4236, 3323, 2259, 3043, 9664, 8476, 8195, 7856, 3055, 5266, 4336, 3992, 2921, 8508, 4415, 4064, 8756, 6793, 939, 6809, 4131, 4907, 9143, 2495, 6175, 1749, 4523, 8572, 7314, 6265, 6878, 941, 3239, 4414, 8723, 647, 869, 757, 5149, 8627, 5755, 1167, 2087, 4701, 837, 3273, 1488, 139, 6505, 1040, 7226, 2483, 2300, 8011, 4996, 3503, 8362, 1998, 9213, 6999, 4387, 3454, 1468, 4140, 5631, 2213, 7865, 5010, 4995, 1303, 4677, 7686, 5569, 8645, 8287, 2884, 8465, 3657, 5414, 9984, 9072, 8675, 8719, 5291, 1524, 9596, 7379, 7359, 8796, 4747, 1615, 1114, 3227, 9842, 9441, 4246, 9783, 8501, 5930, 2304, 6233, 4703, 7549, 7758, 8574, 4505, 9347, 3973, 2370, 8694, 7432, 8748, 1321, 4255, 2465, 140, 1299, 5687, 5601, 5592, 8640, 8554, 570, 6596, 517, 1922, 8752, 855, 1916, 6480, 3040, 9799, 6637, 6671, 2216, 7295, 6237, 4026, 6561, 7054, 6972, 7335, 4371, 992, 5409, 2935, 485, 8333, 9894, 3972, 5220, 4370, 4245, 3349, 2891, 1701, 7880, 9610, 8016, 235, 3472, 2051, 6485, 1357, 8108, 2050, 9342, 9484, 1030, 796, 3538, 5889, 721, 1124, 7634, 2553, 8310, 6386, 2626, 4857, 5658, 9438, 8279, 5914, 1088, 2399, 8102, 9989, 4858, 4285, 532, 4695, 1616, 4980, 3331, 3531, 2180, 1523 ], [ 3197, 3193, 5520, 6950, 9085, 5047, 7803, 8175, 273, 1877, 7774, 7383, 9629, 7371, 4918, 7696, 3965, 2524, 8665, 7752, 9591, 2998, 4681, 247, 797, 7176, 5668, 3956, 726, 3010, 3345, 2599, 3670, 3038, 6589, 1677, 4506, 9871, 3390, 5081, 4520, 8081, 6069, 3031, 9737, 7935, 4299, 7252, 2563, 3159, 6197, 9114, 1253, 5550, 2109, 9988, 7773, 8382, 7957, 8669, 1393, 4605, 9348, 9261, 3876, 1538, 282, 9465, 5971, 2237, 3754, 8755, 6524, 7984, 769, 3066, 4986, 4676, 1640, 6204, 2467, 8932, 7605, 9473, 2919, 1193, 8268, 294, 2163, 2684, 1127, 1277, 5440, 9815, 5031, 6666, 6210, 5925, 9315, 350, 5868, 9014, 6437, 9497, 853, 1412, 9582, 9813, 5854, 8963, 6318, 1165, 9262, 1096, 645, 9038, 3749, 5249, 4870, 5719, 5671, 8680, 743, 9641, 3704, 15, 809, 6174, 1638, 8905, 5195, 4190, 6672, 4565, 6914, 9579, 6774, 6372, 9756, 478, 9544, 8543, 7458, 1031, 4554, 1295, 5030, 3432, 5815, 6527, 1743, 903, 5749, 9761, 7558, 1714, 4542, 5434, 1663, 4665, 2849, 3853, 6290, 7237, 6749, 858, 973, 1740, 9886, 9568, 5566, 1645, 9073, 2000, 830, 4402, 560, 8838, 7279, 3343, 2211, 4825, 6227, 3388, 766, 9933, 7662, 1247, 8466, 74, 2177, 6361, 2706, 955, 8558, 8435, 1050, 7180, 2537, 6055, 633, 1512, 1417, 1519, 9645, 2885, 6777, 280, 5428, 6693, 4057, 1657, 7582, 9037, 2768, 5645, 3930, 4503, 7807, 3071, 8132, 5048, 6974, 109, 9010, 9312, 7186, 9422, 8204, 4998, 6470, 6498, 9803, 9407, 7002, 4010, 4027, 6908, 1173, 5102, 7590, 596, 450, 7578, 8459, 3514, 30, 7664, 5316, 1974, 4348, 7370, 604, 2452, 2574, 6610, 9308, 2432, 7166, 253, 4878, 2728, 3188, 312, 3297, 3210, 4640, 2589, 6993, 5848, 8778, 2923, 9754, 6507, 6848, 8319, 5694, 6352, 3732, 9906, 1257, 9405, 5699, 5274, 974, 8770, 5270, 8564, 3722, 7998, 9662, 2194, 2946, 4625, 5702, 8378, 2296, 735, 4972, 9046, 5470, 8410, 6236, 7423, 1424, 5639, 7448, 8889, 1985, 2365, 4593, 5711, 9728, 8579, 8888, 9849, 5543, 9450, 578, 8416, 342, 304, 2038, 7873, 8898, 1707, 2519, 7898, 1688, 2711, 2168, 3815, 5502, 3984, 7248, 8955, 9911, 2780, 787, 7231, 6015, 1662, 2210, 5056, 7789, 968, 826, 1753, 2412, 3762, 7441, 5021, 9722, 9580, 1012, 2146, 9673, 1527, 2116, 6161, 8512, 8288, 6127, 2262, 2853, 2024, 3747, 6424, 7389, 4169, 6570, 5703, 1135, 8194, 2548, 6149, 921, 5944, 4691, 8406, 407, 6255, 7504, 6840, 4707, 7303, 5181, 6594, 3715, 9471, 2639, 8788, 8409, 2440, 6688, 8519, 1186, 2246, 9351, 3095, 5979, 4203, 8009, 3477, 2613, 6183, 3963, 8633, 1284, 6952, 7316, 4464, 2699, 3819, 7475, 3205, 7968, 5296, 9828, 2874, 88, 7087, 153, 1078, 8148, 6958, 3767, 9504, 8397, 9075, 1517, 4487, 2541, 1544, 7387, 2125, 2778, 1211, 8949, 2103, 3409, 3025, 3554, 7692, 5281, 5078, 2828, 9957, 3894, 5486, 5654, 9480, 421, 6698, 3081, 9780, 4928, 3832, 292, 7989, 5621, 4827, 2555, 4781, 9023, 3622, 4517, 2052, 1883, 1836, 2023, 2073, 3937, 4585, 2845, 891, 1314, 7763, 3184, 8139, 9548, 1656, 3180, 5155, 1854, 45, 190, 8051, 8449, 3294, 9996, 5922, 7268, 7923, 3309, 6562, 4055, 601, 3460, 1340, 4058, 2480, 9030, 326, 3637, 9837, 1606, 7667, 9275, 3487, 6611, 8793, 8054, 2005, 3042, 9390, 7071, 4312, 2291, 9669, 948, 5901, 7072, 5635, 6469, 1399, 9107, 602, 9771, 3568, 5392, 722, 5638, 8299, 262, 9792, 5866, 1619, 3663, 1506, 4634, 3358, 8607, 491, 9740, 2217, 7565, 2797, 2865, 5204, 393, 3230, 1220, 8075, 8470, 6008, 2692, 8927, 9266, 4941, 505, 3831, 5763, 4429, 1106, 8200, 6336, 5531, 4305, 5341, 1510, 8586, 2839, 6641, 6330, 63, 5970, 5328, 1926, 403, 220, 7351, 4156, 5912, 1694, 4881, 1249, 7926, 4819, 1005, 7545, 8157, 9774, 9108, 103, 7782, 5201, 1775, 561, 4789, 1750, 1116, 9773, 5541, 3048, 3178, 4764, 4373, 1018, 7201, 6251, 2008, 832, 1556, 215, 23, 2148, 5131, 5778, 4139, 8007, 1133, 6475, 3470, 6900, 9258, 5265, 3124, 5467, 7839, 2573, 3054, 1210, 129, 8726, 3975, 8660, 5608, 1832, 5146, 8069, 6068, 6373, 3386, 5410, 5917, 6155, 9622, 9339, 9713, 7342, 7388, 6299, 5230, 2091, 9472, 1679, 8923, 1522, 4173, 4965, 5090, 6173, 958, 1639, 9305, 8309, 4075, 291, 5844, 6730, 2612, 5753, 7528, 5123, 2478, 4530, 9725, 4753, 7510, 5378, 1953, 4937, 9718, 9412, 1041, 1017, 3741, 6932, 4459, 9614, 4085, 7949, 8940, 9321, 5663, 6834, 4876, 5757, 1759, 4385, 8256, 1104, 9584, 7348, 5525, 9509, 9625, 1240, 9631, 5910, 9485, 2142, 1872, 8381, 8858, 473, 6732, 6563, 3341, 5648, 9872, 3101, 87, 9527, 5039, 3599, 7787, 4281, 4856, 2234, 5967, 2383, 2249, 9632, 3862, 4007, 9841, 8584, 8658, 2736, 2106, 986, 1209, 5261, 7407, 6073, 120, 5301, 6808, 5773, 9196, 5492, 8221, 1949, 4829, 9457, 5196, 1761, 1396, 5221, 4672, 1059, 4483, 7909, 3506, 7271, 8910, 9333, 4238, 9482, 5250, 1981, 8939, 1341, 8314, 7499, 4179, 191, 1149, 4443, 704, 6203, 8355, 6186, 8318, 6351, 9020, 5740, 8865, 2975, 2200, 3909, 1206, 8436, 8944, 7190, 72, 5278, 9254, 2900, 6807, 4621, 762, 9760, 2257, 7539, 1788, 9519, 2628, 3674, 4451, 3837, 1254, 155, 1362, 8324, 7601, 4383, 3177, 7392, 3336, 4626, 2791, 2750, 3217, 1720, 6412, 8961, 8316, 6085, 1601, 6012, 3854, 9122, 8547, 2880, 5070, 4834, 8111, 2294, 2616, 9817, 2767, 2695, 9409, 9826, 2015, 6320, 1369, 2157, 8243, 5198, 2662, 1587, 2449, 2288, 2072, 5802, 9271, 5536, 3581, 2453, 1405, 5340, 7256, 3974, 4698, 3941, 674, 1868, 2333, 4798, 1451, 5433, 5983, 6406, 202, 6909, 734, 4120, 1190, 9013, 4199, 9208, 1704, 9954, 7755, 2240, 1067, 8855, 9922, 2560, 6444, 9392, 8559, 1773, 6885, 2476, 4948, 4772, 6178, 2675, 9053, 3830, 1345, 9805, 3450, 9493, 8654, 9606, 2761, 4098, 1237, 6881, 3234, 6088, 2083, 864, 9147, 5801, 9148, 2439, 265, 356, 536, 5994, 9456, 4736, 4927, 2892, 7651, 3863, 8581, 8736, 5472, 2170, 4649, 4410, 9279, 5656, 7828, 3959, 9459, 7029, 9684, 4084, 4473, 8304, 1757, 8390, 4123, 8380, 827, 9750, 7523, 658, 3981, 4325, 8001, 3978, 878, 7729, 5205, 4382, 4301, 696, 7319, 4254, 3158, 3426, 1226, 4502, 4642, 1879, 1968, 2965, 9663, 6973, 6752, 1338, 8183, 4915, 75, 1002, 1195, 3734, 9025, 7913, 5060, 8758, 7037, 6905, 3381, 514, 6653, 5728, 3126, 4891, 5460, 2535, 6890, 745, 1025, 3617, 2959, 12, 211, 2326, 6614, 3437, 9313, 3846, 5862, 7743, 1992, 4224, 5333, 9092, 5772, 4799, 8137, 9244, 283, 5567, 697, 3053, 887, 1378, 8297, 1107, 2656, 4804, 3761, 1044, 2781, 5185, 8060, 5202, 1866, 7941, 5480, 4108, 5286, 161, 4407, 9940, 8457, 2688, 3165, 2690, 3263, 2497, 1941, 7986, 2130, 6274, 3633, 386, 5033, 709, 3443, 482, 4307, 982, 6609, 7920, 7771, 5573, 5358, 5046, 4775, 4145, 6947, 7871, 1082, 4163, 2199, 5578, 8300, 4049, 5289, 1566, 7095, 259, 6892, 712, 1780, 7366, 322, 4916, 8995, 9224, 9209, 7103, 563, 9058, 9074, 4538, 4914, 3221, 8225, 3310, 4993, 5094, 2280, 3063, 9510, 3384, 8118, 4894, 851, 7481, 7179, 6020, 7823, 9332, 3639, 5735, 7233, 6512, 8444, 4128, 8711, 7907, 8351, 8018, 7408, 2609, 192, 4760, 8696, 5267, 6325, 637, 2215, 6542, 8112, 2307, 753, 4973, 1580, 5233, 6705, 8697, 6783, 8013, 6198, 6816, 4396, 4917, 7897, 9920, 7636, 1482, 2179, 6145, 5035, 5988, 2102, 4344, 2876, 8735, 7744, 4381, 8469, 5120, 5530, 387, 1624, 8071, 3851, 3654, 9621, 7694, 1796, 5369, 8638, 212, 3123, 6529, 3235, 3365, 1911, 9571, 1230, 7425, 4719, 2827, 7005, 9404, 4623, 1103, 231, 385, 5667, 2420, 6597, 6146, 2367, 9299, 4354, 5156, 6106, 5117, 9369, 4018, 5553, 9949, 430, 39, 2098, 1454, 9021, 8707, 4300, 6776, 2222, 4508, 166, 3775, 8861, 9112, 9550, 9869, 7772, 1614, 2233, 8017, 8903, 6222, 354, 8593, 8517, 1144, 9001, 6158, 5739, 9627, 3642, 962, 8958, 2221, 395, 724, 4599, 3195, 7372, 2321, 4828, 5453, 8343, 239, 171, 7952, 6190, 8741, 3703, 4575, 1185, 8479, 6430, 6639, 885, 5145, 147, 3611, 2361, 1458, 2271, 627, 3817, 2963, 3233, 591, 6888, 9439, 7654, 3829, 4758, 6135, 9928, 9543, 4592, 2744, 9435, 2679, 6343, 5124, 5011, 6363, 5108, 9065, 5958, 7053, 2759, 7460, 2167, 1032, 8216, 8648, 9098, 3491, 5865, 5501, 5251, 1514, 5688, 1763, 6262, 6249, 3691, 8984, 6257, 9508, 4237, 7704, 7438, 4193, 2251, 4209, 2505, 86, 4392, 2418, 285, 6824, 3539, 8022, 8966, 8136, 4423, 7576, 6488, 5758, 8668, 4612, 5782, 6229, 956, 5299, 9835, 8474, 9437, 3167, 2637, 7210, 1042, 3696, 6621, 4277, 4807, 1980, 4700, 8151, 442, 456, 3142, 4794, 1178, 7703, 2665, 2989, 9726, 476, 1256, 9282, 2887, 9252, 7291, 4994, 1991, 9004, 554, 8063, 3791, 1610, 4462, 6868, 4421, 9418, 6830, 2075, 370, 9535, 2282, 9288, 6675, 2442, 5401, 3420, 4903, 1905, 6964, 2610, 1081, 7309, 5399, 1803, 3595, 2058, 3064, 9595, 3078, 8911, 9970, 2844, 6665, 4801, 2373, 9198, 8646, 3469, 388, 513, 6270, 148, 7610, 9175, 1307, 7055, 3363, 4974, 610, 2575, 308, 7974, 7866, 4434, 5057, 4329, 5407, 8924, 8739, 4526, 5964, 6263, 1121, 3457, 2139, 4222, 1774, 5446, 3321, 9410, 7943, 6332, 545, 4847, 3577, 6942, 6584, 5443, 1691, 657, 8623, 4215, 172, 3017, 5326, 1064, 4644, 7977, 3399, 4748, 7863, 3351, 3139, 37, 8092, 8690, 3035, 5537, 7320, 5141, 764, 8894, 1577, 556, 9431, 894, 7230, 6310, 9982, 2239, 1902, 8431, 288, 7561, 4393, 9844, 1815, 3550, 8473, 793, 449, 4022, 5734, 4714, 852, 2039, 9742, 8258, 1162, 2869, 896, 1669, 9247, 7967, 3987, 7213, 6025, 1504, 5, 9800, 8294, 3201, 1942, 1798, 1583, 4635, 3036, 8766, 3783, 4600, 8493, 9681, 2697, 524, 6180, 6523, 3428, 5652, 2090, 2829, 3548, 2792, 4955, 1628, 6687, 4708, 125, 4516, 9969, 3512, 8883, 5380, 1361, 6916, 737, 6963, 1972, 2132, 2056, 2138, 6736, 9564, 7747, 4490, 4966, 6702, 4069, 3334, 4580, 417, 511, 8219, 865, 5785, 389, 1874, 237, 4591, 9253, 6889, 5383, 9502, 2915, 7877, 5597, 7621, 1939, 6513, 1265, 2273, 2166, 7983, 1629, 1781, 3828, 8463, 5796, 8269, 6700, 94, 2487, 3700, 5412, 1310, 500, 3418, 6072, 4466, 8491, 3019, 6497, 7783, 2696, 1910, 9217, 7753, 2007, 965, 8224, 7658, 3968, 1717, 6543, 6525, 6886, 9056, 6208, 4314, 487, 2162, 5633, 4595, 7220, 1490, 3335, 4230, 2252, 7115, 240, 904, 4601, 689, 4368, 2801, 5649, 2506, 2115, 5159, 8980, 5133, 7390, 5853, 4330, 5329, 4391, 3146, 373, 4427, 9290, 2456, 5441, 7128, 5560, 6845, 7008, 7847, 8618, 2104, 4544, 8240, 915, 6767, 3526, 5514, 7076, 4830, 3860, 6667, 9210, 1217, 8807, 3524, 4295, 4697, 5920, 2126, 621, 1286, 5066, 9052, 6574, 7966, 1696, 3141, 5857, 7334, 8587, 271, 4763, 3330, 8844, 7144, 4806, 9357, 3000, 8080, 3971, 5682, 8467, 9027, 6579, 7229, 8513, 3672, 9009, 3607, 9199, 6573, 9314, 7890, 6479, 1820, 9623, 9697, 6988, 384, 4031, 8090, 9379, 9703, 884, 3725, 2181, 9264, 5482, 4786, 2175, 4347, 1493, 2517, 6874, 565, 660, 5847, 4879, 5037, 4978, 5014, 2659, 9309, 567, 6644, 1685, 6160, 4202, 5435, 3187, 1183, 4555, 1641, 1430, 4196, 8248, 7378, 3518, 9370, 5052, 5582, 3530, 1650, 9174, 3005, 6410, 4818, 1280, 8701, 8442, 5293, 2901, 2391, 7940, 5154, 9340, 7284, 2411, 7888, 8059, 4033, 5657, 7548, 626, 9912, 510, 9734, 6317, 9541, 8505, 6719, 5276, 8917, 2670, 8107, 3507, 3109, 6746, 606, 7904, 5675, 4309, 1555, 3711, 2297, 7838, 3564, 5636, 6600, 5946, 5209, 8716, 2444, 873, 807, 3919, 9229, 9749, 6422, 1797, 9069, 6655, 9079, 7643, 9526, 3257, 9241, 8098, 5112, 9080, 377, 4360, 206, 6273, 1622, 6292, 5219, 9867, 3892, 250, 5539, 3395, 5512, 1668, 5781, 5317, 4533, 6495, 2615, 1664, 3243, 9930, 9759, 6522, 5000, 8095, 4441, 7958, 7826, 9979, 331, 1546, 8366, 6564, 8977, 4311, 4489, 3594, 6968, 5587, 3449, 9711, 9960, 9950, 3544, 3694, 9513, 5009, 5445, 7162, 8245, 3333, 1581, 8672, 6791, 1570, 3996, 5473, 1596, 9190, 7489, 2709, 9419, 9793, 9078, 7039, 1047, 3528, 5211, 1837, 169, 8597, 9968, 8950, 358, 8370, 1699, 7447, 8357, 1999, 1772, 4556, 2041, 8679, 3970, 5169, 8998, 5896, 1320, 8724, 1199, 6402, 5851, 1219, 5700, 9400, 3029, 6645, 1449, 2417, 7154, 4112, 9831, 831, 8181, 6391, 6500, 6185, 3413, 808, 7516, 3494, 6041, 5950, 5079, 4614, 2285, 1439, 1689, 522, 6903, 573, 1062, 8499, 9060, 1372, 8566, 1008, 2004, 5232, 1807, 1809, 7918, 3650, 9611, 420, 2777, 335, 3122, 3843, 3772, 8412, 8393, 123, 7148, 5062, 52, 4951, 7765, 6403, 8763, 6428, 4557, 5515, 3179, 5957, 2826, 1745, 8899, 4594, 5805, 6248, 2985, 4180, 7618, 4811, 8002, 8364, 993, 8453, 6981, 9609, 3249, 7887, 569, 6940, 4252, 667, 2143, 5400, 5814, 8034, 3598, 9786, 2513, 877, 3867, 3874, 8743, 2654, 3651, 9417, 5012, 2682, 7502, 9736, 7737, 4167, 3664, 9382, 952, 9095, 3585, 1973, 6065, 5808, 3082, 4935, 5306, 4696, 1769, 2461, 9104, 4726, 8460, 9628 ], [ 2406, 7777, 8234, 7571, 6837, 2477, 9890, 7437, 844, 5849, 2704, 3455, 2910, 9323, 2815, 3513, 5138, 1912, 4842, 1222, 1584, 7430, 7596, 9748, 8571, 774, 5477, 2658, 7542, 3681, 4617, 6433, 4320, 1521, 6196, 5624, 1818, 4766, 2155, 4345, 564, 7498, 7901, 1421, 2153, 1989, 5810, 8886, 7953, 4949, 6074, 4507, 2629, 8142, 8048, 5150, 9753, 1561, 8705, 78, 5894, 2012, 9128, 3729, 5927, 338, 7844, 5485, 8308, 6056, 4950, 2630, 4666, 4525, 7670, 1661, 1291, 8774, 8188, 6504, 4885, 7638, 856, 8368, 6766, 9185, 2633, 4492, 3033, 5303, 9578, 7691, 7708, 8608, 7017, 6411, 3156, 2501, 2782, 9865, 6096, 1591, 6989, 768, 6931, 632, 2540, 5790, 7469, 979, 2586, 216, 1184, 843, 792, 6822, 4142, 5681, 404, 5229, 7069, 7886, 1337, 2773, 4500, 7105, 8867, 4846, 7006, 7488, 5511, 8613, 7770, 848, 3677, 1801, 6560, 2101, 6710, 983, 6721, 9169, 5980, 599, 6684, 9811, 3823, 471, 5166, 2060, 6191, 1760, 189, 4313, 3609, 5640, 9028, 3206, 8746, 9483, 5352, 9879, 8821, 8937, 6745, 4154, 5147, 7222, 1432, 1385, 6713, 9029, 3752, 6663, 3790, 1665, 691, 4590, 2276, 7327, 5318, 1089, 8500, 1909, 2578, 2231, 9039, 2486, 5394, 402, 6701, 9232, 1279, 299, 41, 6455, 8960, 60, 4777, 8471, 339, 8653, 2726, 2281, 3199, 9371, 3070, 6933, 345, 9203, 5013, 4276, 720, 3225, 2647, 680, 5355, 5705, 3753, 3442, 9019, 7988, 3267, 5723, 2545, 1794, 8525, 2894, 7541, 7289, 6571, 8642, 1500, 2498, 2527, 5978, 4588, 5302, 987, 6215, 5653, 2971, 7543, 9139, 9191, 9243, 364, 6937, 8670, 4110, 409, 7730, 3288, 1091, 7973, 6016, 2253, 1130, 4540, 5948, 8750, 1221, 7102, 889, 4659, 2694, 5444, 7074, 198, 8616, 1027, 2414, 3816, 432, 6506, 6704, 9887, 5376, 1804, 598, 3284, 6305, 7454, 718, 2925, 8261, 6635, 1427, 4253, 1386, 6093, 6764, 5437, 1505, 4863, 9757, 8140, 3372, 6124, 4952, 4384, 3643, 9540, 971, 6758, 1137, 7098, 3144, 7980, 7242, 5214, 2608, 1987, 7127, 2595, 5238, 4016, 8239, 8906, 4839, 7735, 8730, 7868, 9590, 4587, 1986, 9862, 9816, 8398, 9715, 8420, 4403, 7321, 1322, 7191, 2636, 1129, 5283, 3244, 2424, 8583, 6451, 7141, 5347, 144, 8745, 8384, 4535, 8599, 1963, 8490, 2435, 612, 5921, 5708, 7652, 2363, 4628, 2349, 9657, 7600, 4541, 765, 1065, 1423, 7687, 8989, 4244, 4063, 1904, 7793, 521, 3833, 4117, 3859, 9679, 4151, 2597, 3219, 135, 5310, 2292, 6982, 8996, 4953, 209, 1520, 1785, 9807, 436, 9709, 6991, 9785, 9665, 3291, 6132, 6588, 8808, 6436, 1066, 1716, 2242, 7746, 7477, 2561, 1700, 1492, 7850, 3836, 7804, 4742, 8280, 8542, 8582, 1630, 2886, 428, 3131, 4045, 8056, 7318, 4266, 9520, 3714, 254, 7377, 7594, 327, 9173, 4832, 641, 9903, 8785, 6625, 5222, 9109, 1833, 2738, 4051, 6434, 8881, 3344, 5715, 1532, 1996, 7738, 418, 6369, 1599, 5095, 1371, 7991, 9600, 7004, 3785, 8040, 6613, 7034, 9106, 990, 1896, 8321, 3915, 1827, 912, 3888, 9978, 8480, 9854, 9054, 8846, 788, 8053, 3168, 5837, 6520, 8507, 7985, 110, 2325, 138, 9360, 2723, 1447, 5242, 1363, 576, 7726, 7604, 4013, 9469, 7740, 7434, 3809, 1491, 6647, 4349, 3999, 298, 4728, 6156, 1588, 2932, 8418, 3719, 2369, 615, 6278, 3545, 8100, 5692, 8615, 933, 8811, 5969, 6086, 9047, 2742, 9255, 228, 3812, 8367, 6051, 4241, 4386, 8396, 5405, 3133, 1015, 2962, 8625, 4630, 7171, 7286, 4898, 3998, 9956, 9491, 2793, 7198, 7846, 9394, 2016, 1084, 6157, 5522, 2970, 3074, 8936, 8365, 6643, 6867, 3759, 6850, 9316, 2189, 4715, 9380, 867, 5996, 7397, 5610, 1160, 8909, 2219, 8514, 6771, 6765, 5241, 5468, 1754, 132, 6100, 3841, 529, 2625, 3431, 5989, 7436, 2057, 670, 3858, 3018, 7478, 8433, 1819, 4864, 6440, 445, 7442, 782, 8122, 2356, 412, 3806, 611, 6048, 5348, 4086, 2546, 6019, 5051, 3433, 4135, 6658, 7396, 3498, 7315, 5935, 3013, 7354, 4400, 5867, 4060, 7065, 8391, 9070, 6670, 8119, 9331, 3869, 1579, 6856, 7302, 4148, 4875, 7900, 829, 9470, 4845, 4184, 9905, 7073, 8656, 3467, 1163, 7126, 1383, 9416, 6282, 3496, 5904, 8918, 9310, 8237, 1157, 9638, 1513, 776, 8702, 5760, 5832, 9934, 8375, 3925, 8456, 4284, 9897, 6269, 6554, 4767, 7695, 4114, 817, 543, 9992, 1131, 6577, 7040, 6519, 4186, 9829, 8259, 9706, 9652, 5940, 2895, 8530, 8827, 208, 6802, 107, 750, 2046, 8541, 19, 2521, 2431, 677, 2552, 4971, 48, 8555, 8128, 1094, 5696, 1481, 6759, 9127, 4188, 7107, 4194, 9506, 8647, 3701, 8805, 6060, 506, 7337, 4731, 2019, 5199, 4765, 2379, 5142, 5547, 4168, 8377, 4200, 2977, 480, 6474, 1450, 699, 3172, 5041, 8388, 2283, 5342, 4195, 3887, 6445, 6221, 2928, 483, 1052, 7192, 3024, 940, 663, 7761, 2499, 8283, 4778, 248, 1169, 5323, 5928, 5068, 3044, 8295, 9349, 2385, 4838, 4315, 6545, 8914, 8714, 4417, 6345, 2214, 8226, 3966, 5054, 1945, 8064, 9391, 3873, 1058, 5690, 6801, 5422, 4936, 8306, 16, 4258, 7681, 5559, 8429, 5596, 755, 2743, 8163, 8020, 2819, 7194, 624, 5842, 9202, 4497, 9884, 8458, 4037, 7427, 8210, 7428, 1702, 8825, 9691, 4570, 6839, 9532, 923, 6678, 588, 2248, 4850, 9583, 7243, 4528, 949, 3453, 6761, 10, 9755, 7682, 9851, 620, 7885, 3407, 334, 3779, 3948, 8588, 7867, 6398, 7449, 2223, 4375, 2710, 3260, 277, 5235, 2581, 8617, 2295, 2731, 5797, 1028, 673, 5425, 1095, 4189, 5025, 6585, 9126, 898, 7398, 3292, 175, 1806, 7764, 2462, 914, 1435, 9376, 7798, 6949, 3298, 4317, 6788, 6567, 4124, 4757, 1857, 6899, 9522, 3311, 874, 1373, 7815, 4306, 1559, 1654, 8611, 8635, 842, 6000, 458, 2491, 7010, 4083, 6133, 341, 4739, 4756, 6813, 3402, 9704, 8116, 2677, 668, 6091, 7159, 9603, 5521, 9918, 2022, 638, 6258, 9694, 1494, 9455, 2584, 3339, 5809, 8767, 4155, 7673, 4519, 1229, 1823, 9324, 6648, 3379, 7525, 5478, 5828, 8218, 676, 20, 7155, 1578, 9130, 6335, 7016, 133, 1077, 8744, 3721, 5367, 5134, 5309, 518, 8790, 6859, 9293, 7464, 7895, 392, 9162, 9436, 579, 7593, 8951, 590, 3280, 183, 1621, 3127, 6032, 9730, 502, 8191, 4247, 3556, 5820, 5727, 6452, 6948, 302, 6880, 6011, 2825, 3393, 5903, 7628, 4074, 9572, 4840, 9341, 1344, 2957, 4282, 3875, 9494, 4521, 7306, 2976, 7232, 6887, 3566, 2806, 5943, 6098, 6438, 9205, 1856, 9618, 1855, 7963, 7994, 2666, 3569, 6059, 8286, 2956, 1673, 5931, 5642, 4704, 2926, 5004, 7223, 7961, 1875, 9574, 3164, 4339, 7036, 3777, 2838, 2769, 6426, 5747, 7820, 4534, 7496, 1437, 7119, 4226, 9311, 3661, 3387, 5965, 6612, 8972, 7722, 5725, 2035, 5821, 261, 1152, 1365, 5570, 4813, 4648, 3385, 6879, 1964, 1281, 7944, 8762, 2227, 3316, 3368, 1659, 3571, 9812, 1554, 6209, 3028, 1168, 4290, 9193, 537, 6309, 119, 2503, 164, 6481, 5835, 8078, 297, 1594, 6097, 6501, 2523, 5292, 1984, 7485, 9486, 3320, 8169, 7559, 9853, 5732, 4133, 4909, 6803, 7202, 9386, 5575, 4653, 2377, 5869, 347, 8968, 1683, 1903, 5058, 4860, 3786, 5576, 1457, 1166, 9745, 7262, 659, 9406, 5676, 6986, 9082, 5122, 8539, 8371, 5713, 5389, 5099, 2764, 301, 7026, 6368, 7827, 7317, 7931, 3270, 8166, 7479, 4130, 2254, 7057, 1404, 4797, 8511, 4035, 4150, 397, 3478, 3745, 4730, 4346, 1529, 4911, 9630, 1034, 1571, 9350, 798, 2990, 5619, 656, 4359, 625, 1993, 2340, 5344, 4924, 4636, 5680, 6137, 8172, 6623, 4629, 9031, 6052, 4873, 911, 5228, 5787, 2525, 8475, 2144, 1647, 4225, 9846, 4248, 3750, 2708, 8196, 3176, 9306, 9687, 3705, 9612, 1540, 7955, 4017, 2357, 4515, 5498, 8534, 8552, 9158, 8084, 3522, 7181, 7304, 6825, 3766, 8249, 3640, 1884, 5850, 8292, 7227, 1093, 6844, 2309, 1729, 4732, 6427, 3826, 8795, 5377, 8962, 548, 6075, 2402, 408, 4650, 3814, 9804, 5783, 4372, 9161, 6619, 3125, 1014, 3680, 8721, 9207, 646, 6565, 4442, 8819, 2902, 82, 2229, 6416, 5706, 1576, 1007, 9452, 9746, 5491, 344, 9059, 5288, 2813, 6603, 1394, 5160, 3137, 5516, 3241, 464, 9131, 8666, 4460, 9118, 4257, 4326, 3062, 9976, 1870, 5403, 7421, 9855, 1844, 8498, 3347, 9891, 9777, 4855, 862, 629, 4755, 3186, 3702, 8704, 236, 5677, 3272, 9499, 6961, 930, 9467, 4378, 6871, 5616, 3296, 3307, 3709, 6918, 243, 6431, 8620, 1086, 4553, 1323, 7792, 7340, 8241, 5693, 1843, 7044, 1214, 5726, 3014, 3447, 1731, 5026, 3096, 3988, 5474, 5517, 7661, 4174, 6493, 7094, 2338, 2997, 799, 6907, 1312, 9795, 5325, 7330, 4097, 3535, 6762, 5942, 4376, 3904, 6063, 8145, 2394, 3773, 5615, 8760, 951, 5345, 6104, 5941, 905, 1156, 9002, 6401, 5132, 4002, 8093, 4976, 7329, 3007, 7353, 7724, 3283, 7491, 1830, 136, 8152, 9952, 7574, 5174, 3763, 425, 926, 6029, 1408, 3890, 6423, 8781, 1407, 3769, 9546, 8818, 5887, 98, 8484, 8050, 7577, 4469, 4288, 5273, 931, 6539, 6692, 7788, 232, 141, 5977, 413, 5050, 1142, 8569, 7872, 7595, 3510, 6105, 8875, 1115, 5620, 1159, 7259, 5426, 5613, 9272, 9701, 9466, 8561, 2789, 5231, 1758, 2911, 5304, 4028, 2354, 7870, 597, 4476, 9461, 4688, 4651, 5320, 4637, 1850, 4020, 6962, 4604, 7707, 4791, 2151, 2069, 4152, 9383, 31, 6070, 165, 7759, 3765, 1867, 7653, 7517, 7120, 2942, 5963, 6608, 4269, 5595, 2330, 5343, 6166, 2529, 5431, 9529, 4126, 4178, 3739, 8568, 1861, 5766, 1824, 7130, 1634, 8737, 7553, 218, 1914, 6934, 230, 5678, 4868, 9346, 1860, 4144, 8233, 1889, 7852, 3879, 8933, 4077, 6860, 4514, 8982, 9035, 7950, 324, 5226, 7455, 5784, 8327, 415, 6010, 5788, 2800, 1655, 1802, 77, 2817, 3710, 3520, 8667, 6780, 9695, 3764, 3356, 321, 5751, 3209, 8520, 7361, 9593, 3240, 694, 6553, 7997, 222, 9063, 7163, 3444, 5721, 5528, 362, 9145, 5408, 3481, 4866, 9693, 997, 3755, 4121, 9430, 8348, 7311, 3098, 1575, 2203, 5563, 1675, 7177, 1978, 6429, 7283, 4072, 5895, 6734, 4754, 1306, 6799, 6370, 8025, 1353, 1205, 9866, 2937, 6841, 2948, 1800, 8985, 1995, 9476, 6755, 1878, 4493, 8751, 3097, 3304, 881, 5083, 2290, 9624, 6680, 9197, 6652, 9184, 1475, 4132, 3145, 8189, 7995, 7236, 4068, 9991, 5822, 976, 3224, 2355, 7814, 2607, 5175, 7063, 9739, 1422, 4682, 9784, 4821, 5487, 8509, 7637, 7345, 7003, 9117, 6727, 7147, 4579, 1414, 201, 4810, 4440, 7874, 6415, 618, 1744, 4589, 5698, 2950, 4849, 7883, 5519, 3232, 7410, 2201, 7497, 3932, 1395, 5308, 6223, 1643, 7714, 9201, 3348, 5929, 6397, 9179, 2466, 1035, 892, 9994, 7142, 1061, 1791, 929, 4104, 5662, 6778, 2191, 6979, 2770, 8637, 4657, 3632, 9924, 8331, 6620, 9138, 8849, 8133, 8954, 2703, 8800, 5494, 5236, 8010, 6220, 7599, 7560, 3983, 5096, 541, 1336, 5880, 2700, 1099, 2995, 3458, 2745, 770, 1693, 266, 7160, 9660, 9635, 4518, 4997, 7524, 7344, 1068, 6489, 411, 937, 8699, 6349, 8039, 96, 2837, 1382, 5860, 6955, 9129, 9830, 256, 5701, 2344, 8600, 5080, 224, 6969, 27, 2327, 3011, 2577, 6112, 2114, 6959, 5119, 8376, 7287, 7420, 3136, 9775, 1710, 8399, 3871, 9863, 3792, 1228, 5022, 343, 3699, 6686, 1895, 6116, 4239, 5754, 2693, 6090, 2040, 1398, 4769, 2775, 6247, 2352, 3613, 69, 9788, 2247, 1016, 6627, 6077, 7672, 1732, 8907, 1426, 3174, 907, 732, 5020, 2301, 9399, 3621, 7657, 2603, 9434, 2429, 118, 7742, 5534, 7058, 6387, 1418, 1327, 3067, 749, 7104, 2206, 1711, 8068, 2258, 6171, 2117, 2649, 2671, 7575, 1311, 8845, 1632, 835, 1375, 4942, 9141, 396, 512, 143, 6631, 2154, 4082, 3009, 994, 199, 6806, 1891, 8841, 115, 1347, 2470, 1145, 6576, 8395, 7734, 3525, 2347, 1487, 6099, 7639, 6046, 1888, 1835 ], [ 9553, 1609, 5416, 1308, 2026, 1925, 3660, 4519, 6367, 7470, 7110, 6163, 5274, 9534, 6180, 1558, 5227, 2164, 6759, 3229, 6053, 1474, 8710, 6445, 8618, 2567, 9948, 7828, 3416, 1516, 3492, 1320, 2744, 3538, 1563, 5056, 7928, 9690, 9579, 8502, 2058, 8174, 6887, 3644, 3375, 6075, 2659, 6024, 8036, 4587, 464, 867, 2926, 7249, 6061, 3268, 9604, 8308, 6084, 922, 6978, 6727, 2194, 8433, 7208, 821, 7244, 767, 8065, 1860, 758, 8416, 6456, 7622, 1508, 4665, 1874, 7125, 6812, 3075, 6714, 5229, 9752, 4044, 4052, 4526, 2941, 4133, 7395, 7582, 6520, 401, 9243, 1538, 8522, 201, 1833, 9031, 8147, 8168, 3315, 7082, 6429, 1190, 1277, 5128, 6964, 7258, 1842, 286, 9169, 549, 1035, 2720, 7329, 3029, 3781, 2066, 202, 7073, 4306, 3673, 6021, 1602, 9513, 4117, 1328, 8113, 498, 8440, 2169, 1569, 8660, 5987, 5631, 1662, 3491, 1524, 2994, 2556, 816, 2574, 9741, 6246, 7325, 5046, 9386, 626, 130, 1466, 4428, 801, 9436, 6743, 1805, 7666, 2008, 5968, 622, 6962, 8037, 995, 527, 53, 1611, 261, 488, 6468, 2477, 5498, 4661, 4272, 9315, 2650, 9621, 3261, 7906, 5599, 9905, 9174, 634, 4319, 8800, 3694, 7563, 4224, 4941, 6345, 1734, 2015, 9744, 9207, 4033, 7791, 9447, 5370, 3797, 1175, 5983, 1319, 7559, 2808, 6806, 4296, 98, 5198, 9847, 4672, 3745, 9742, 2404, 6211, 4549, 3699, 5419, 2119, 8681, 7107, 4936, 8309, 5688, 6576, 6107, 6257, 7510, 9693, 8968, 2259, 5897, 2966, 9918, 189, 7876, 926, 5765, 5061, 684, 1760, 6190, 4463, 3785, 2343, 8478, 2493, 4733, 9976, 7672, 2400, 9414, 5382, 2505, 9746, 4462, 7853, 9992, 9225, 5072, 9312, 1964, 1192, 9029, 4898, 4779, 327, 2073, 4624, 4540, 5715, 5435, 7787, 5427, 7636, 4677, 5978, 6597, 3196, 428, 8202, 2975, 4912, 9786, 1635, 2984, 6959, 4923, 13, 3134, 8730, 3260, 5518, 1596, 6070, 4586, 1660, 6448, 9490, 642, 3854, 7768, 8703, 4384, 3168, 9018, 7410, 7813, 5802, 1353, 9206, 1290, 8535, 6172, 2781, 6816, 3528, 9337, 2326, 3270, 612, 8051, 6610, 6043, 402, 5626, 4141, 9829, 2436, 8327, 4344, 1976, 9706, 500, 1350, 7228, 9070, 3909, 5917, 3979, 5910, 6032, 1808, 9969, 676, 5026, 7109, 2261, 3953, 2729, 7019, 961, 3110, 2045, 7673, 7161, 5845, 2782, 3434, 825, 8056, 351, 6059, 2322, 3349, 217, 4329, 954, 629, 1638, 9776, 5185, 9968, 9661, 6835, 7097, 8841, 4286, 12, 4021, 3861, 7908, 1867, 9241, 2245, 6228, 4615, 5768, 4383, 6092, 5959, 7551, 4429, 5455, 1303, 5924, 4887, 9295, 8680, 7480, 6095, 7045, 8513, 9166, 5407, 4696, 9294, 5594, 7033, 3958, 5016, 7476, 4627, 1488, 167, 2242, 5436, 6681, 1365, 9298, 5247, 495, 9033, 937, 8967, 1555, 2390, 9331, 2692, 7534, 3155, 2079, 232, 7703, 6989, 2307, 2570, 7171, 5750, 3973, 7318, 9658, 1367, 8986, 8741, 3881, 4539, 2140, 28, 7322, 4412, 2932, 3451, 3143, 5536, 9878, 9726, 7939, 5831, 3963, 1772, 1649, 4464, 5235, 3655, 5405, 9406, 6633, 8682, 1486, 6098, 3312, 6666, 4505, 1913, 5652, 5922, 5067, 4742, 8102, 3327, 9765, 9494, 6106, 6810, 6291, 8385, 2927, 9555, 9230, 7847, 9591, 9750, 1828, 9034, 4633, 4530, 8098, 6155, 9024, 1491, 7943, 3149, 9782, 5933, 1983, 7871, 7462, 8737, 3858, 2274, 8223, 8421, 5600, 459, 9139, 4918, 2657, 722, 6447, 1818, 1902, 3569, 775, 2830, 2297, 4684, 216, 57, 529, 8438, 2773, 9849, 1037, 3627, 8981, 6380, 2470, 554, 7014, 2836, 255, 8849, 5873, 5544, 2960, 9202, 9572, 5015, 7571, 1403, 414, 5592, 6849, 3494, 7036, 5537, 9974, 3873, 1644, 8707, 4430, 3274, 1119, 7879, 6889, 487, 3596, 3587, 5911, 6206, 7365, 2783, 335, 4818, 4648, 4573, 4328, 1715, 2187, 319, 2683, 7712, 1992, 9501, 2262, 7323, 7489, 9835, 7234, 7259, 6842, 256, 4314, 3364, 4103, 9257, 1872, 2182, 4326, 2351, 7780, 3989, 4838, 6341, 973, 5881, 966, 6973, 6813, 7124, 9311, 7842, 9545, 466, 716, 3556, 1765, 4510, 4227, 7541, 3663, 8143, 1302, 7335, 6303, 4043, 5133, 7676, 9711, 5032, 5202, 125, 4418, 4063, 1275, 2680, 9354, 3874, 3628, 8258, 8009, 7732, 9887, 1616, 1832, 6488, 6902, 8028, 5262, 8514, 6986, 8659, 7378, 1163, 5578, 928, 7523, 7411, 7092, 734, 3981, 8236, 3512, 5098, 2076, 4997, 7363, 2743, 3288, 8088, 8938, 3128, 802, 8740, 5380, 2535, 3741, 3350, 8289, 5278, 830, 9962, 4894, 7210, 7456, 4220, 5890, 9733, 1598, 4391, 595, 5295, 8769, 9474, 2372, 5882, 3200, 3298, 3885, 7488, 9676, 8500, 7899, 5556, 5496, 2104, 1605, 467, 3830, 8628, 3498, 5356, 4330, 4763, 7934, 2263, 4051, 7753, 3553, 9104, 3182, 6338, 8566, 9219, 381, 2668, 8205, 4843, 7015, 2885, 8268, 9075, 7525, 5792, 8244, 4861, 8241, 7755, 5273, 6947, 8519, 444, 9335, 8918, 3213, 2177, 9822, 1397, 3241, 9600, 1799, 9529, 1560, 3709, 1993, 1624, 3646, 1241, 5043, 6795, 9138, 4709, 584, 7627, 1181, 663, 8939, 7366, 2433, 9109, 2568, 3100, 7687, 5903, 1510, 9152, 6829, 5654, 6022, 4014, 9468, 8596, 1024, 1773, 110, 1257, 2166, 3395, 2125, 4608, 4731, 9428, 7416, 1309, 6065, 3239, 4060, 9283, 4850, 3521, 3287, 6274, 7896, 614, 6652, 3803, 607, 6591, 6888, 6970, 6785, 9516, 8838, 6264, 3548, 3632, 5837, 6425, 1248, 1725, 4015, 9730, 7206, 9946, 8907, 4620, 4300, 1435, 6140, 8157, 2711, 7698, 1994, 6477, 9926, 3024, 320, 310, 5664, 657, 9890, 8265, 8092, 4467, 4948, 9020, 9656, 1412, 8323, 1493, 3323, 4018, 5889, 8189, 6229, 5619, 8163, 1637, 8255, 4705, 8980, 6673, 5232, 4394, 5764, 6818, 6675, 387, 8248, 8926, 1798, 7289, 9502, 6489, 5396, 1409, 6189, 7383, 8226, 9891, 8369, 8480, 8191, 2622, 4685, 5673, 9423, 8232, 4456, 8429, 6242, 997, 1564, 9453, 4016, 7838, 1156, 5465, 4631, 3551, 8382, 9110, 983, 946, 7017, 6606, 3754, 9470, 7266, 3146, 1851, 6273, 4865, 7511, 9362, 5716, 6127, 6922, 1180, 1315, 7660, 1108, 8599, 7914, 3347, 5042, 4909, 1335, 899, 6299, 5829, 9341, 8455, 892, 6664, 9610, 556, 6555, 1916, 9448, 2039, 3946, 246, 2250, 460, 896, 3083, 6185, 9526, 2571, 485, 4041, 4545, 8721, 9333, 7537, 3187, 6600, 2842, 4294, 2349, 3007, 7786, 7693, 6820, 6930, 4037, 6688, 968, 81, 1396, 2204, 1575, 1479, 9493, 2602, 9066, 454, 562, 2456, 6658, 9281, 5079, 2040, 2221, 7560, 4676, 8052, 2857, 5541, 8801, 8750, 1840, 5080, 4171, 2011, 9122, 1267, 1617, 9543, 1281, 8556, 9296, 2999, 1117, 3960, 9582, 9179, 8372, 611, 8572, 6511, 1345, 7506, 6495, 5793, 4353, 315, 8510, 8958, 4502, 5269, 8016, 1304, 8464, 6980, 588, 5378, 6010, 8847, 2745, 1940, 645, 4714, 1027, 6804, 424, 1297, 7752, 5031, 6672, 2476, 1556, 8476, 3085, 9009, 4551, 6182, 4702, 2239, 3373, 9827, 8335, 6013, 8325, 1425, 2645, 9297, 935, 6847, 6178, 9820, 4595, 2817, 4875, 2829, 455, 3767, 6424, 8910, 7632, 7778, 1857, 8603, 504, 2244, 2956, 8130, 3125, 403, 1358, 8593, 3933, 9904, 7000, 9521, 5469, 2726, 1036, 9790, 461, 7238, 803, 6604, 641, 1127, 4622, 1234, 7261, 2101, 5450, 206, 5181, 7189, 8071, 8395, 9689, 305, 4282, 6788, 5693, 1162, 9839, 9157, 4799, 4722, 9146, 3457, 1579, 8447, 3405, 3278, 8678, 7423, 3544, 1404, 5066, 9102, 6317, 5747, 8024, 3804, 4099, 7862, 553, 4256, 2763, 5772, 4303, 3272, 2498, 7648, 7630, 7812, 5414, 9495, 7736, 6878, 7967, 7408, 4900, 9929, 2678, 1762, 8932, 7316, 235, 9603, 3514, 694, 6965, 4793, 7734, 2687, 5055, 333, 8785, 8979, 8475, 6733, 6802, 3222, 4999, 7548, 1313, 4438, 212, 5971, 5213, 3394, 4601, 9049, 2591, 2335, 7336, 4069, 4904, 9698, 9500, 323, 4472, 4869, 195, 355, 2416, 3426, 4845, 9431, 6295, 7529, 6776, 5155, 1945, 7433, 8064, 5915, 2534, 367, 9602, 1004, 9314, 9264, 2399, 884, 586, 136, 5148, 6667, 369, 7983, 9642, 5714, 5423, 2406, 957, 84, 5277, 3282, 7779, 5834, 8497, 8435, 9993, 9662, 2068, 9016, 4254, 7341, 7573, 9978, 5680, 4170, 7515, 5605, 7180, 5307, 796, 5408, 561, 4114, 6124, 9743, 4915, 9250, 5220, 4179, 793, 3201, 6028, 131, 6449, 9809, 234, 7575, 43, 3515, 7253, 3449, 8046, 1646, 7292, 1301, 7659, 6850, 4377, 880, 7658, 9912, 174, 4563, 9115, 6926, 2542, 2734, 7319, 8598, 7246, 8124, 4495, 1166, 3791, 5170, 156, 6968, 2730, 1287, 8460, 5932, 5204, 308, 5313, 8671, 2909, 8892, 833, 1625, 4553, 994, 3001, 7678, 40, 95, 2459, 8362, 9170, 1000, 7252, 8645, 559, 1550, 999, 4770, 9766, 9675, 6593, 8944, 3545, 186, 7285, 3820, 9324, 3700, 2916, 4543, 3851, 6752, 5197, 2260, 6508, 6220, 4555, 3245, 7856, 7310, 3455, 6553, 4890, 7767, 8714, 3175, 3101, 8929, 1696, 5484, 8667, 3588, 4632, 1472, 2619, 6766, 5285, 4919, 7280, 295, 8005, 7947, 9523, 8867, 7103, 6674, 5624, 3778, 5893, 9228, 7773, 2762, 3560, 8288, 1710, 8242, 8747, 6275, 5560, 8914, 5576, 2588, 4154, 1691, 9079, 9751, 283, 204, 7191, 6253, 9704, 2214, 5365, 1137, 2776, 603, 6461, 8397, 2788, 8810, 4064, 4393, 5129, 765, 721, 9903, 9073, 8505, 5701, 9065, 682, 8619, 3045, 909, 5801, 1890, 9132, 9357, 1592, 7197, 3865, 4682, 7549, 662, 247, 6602, 5687, 3623, 8784, 1402, 9777, 5284, 209, 1271, 7385, 8326, 8010, 1705, 2455, 8552, 5805, 7085, 8294, 9800, 2740, 1220, 945, 7505, 3166, 5321, 5595, 3859, 3742, 8029, 4594, 9037, 7389, 2674, 8945, 8921, 7417, 4288, 8890, 7133, 244, 8893, 2310, 3228, 1858, 6118, 9527, 1688, 1966, 8518, 9784, 231, 3324, 8370, 5785, 1292, 871, 159, 2506, 578, 2201, 8798, 2698, 3418, 2631, 3353, 6981, 5863, 5753, 1208, 9871, 4629, 74, 6087, 6194, 3763, 6541, 5773, 7580, 9117, 8284, 8243, 4619, 4128, 3856, 5086, 6238, 1255, 388, 4559, 6709, 6696, 7919, 6490, 4004, 2587, 5254, 2544, 3610, 989, 3111, 4062, 1895, 1781, 9583, 5459, 9290, 3440, 3787, 1214, 3848, 800, 4374, 5464, 1110, 6068, 5964, 1210, 3140, 3520, 834, 6037, 2315, 3776, 3637, 9719, 2075, 6405, 2106, 1661, 6768, 129, 7606, 4208, 8605, 9808, 9761, 350, 3631, 4811, 8743, 6599, 4209, 3009, 1863, 8069, 9768, 3120, 5683, 9533, 3408, 9531, 1761, 4290, 5992, 4618, 1956, 6923, 16, 4966, 9697, 4096, 7962, 768, 5070, 4266, 5820, 5821, 9983, 6618, 5289, 2867, 501, 3634, 2798, 598, 7337, 6994, 9958, 6058, 2543, 9876, 8727, 7886, 1014, 6164, 6101, 4572, 7566, 537, 8650, 5271, 3107, 4743, 30, 8949, 6094, 4864, 9320, 5117, 3959, 218, 9136, 5252, 362, 1570, 307, 7369, 2903, 4285, 6731, 7900, 7816, 3679, 4641, 7869, 3446, 9351, 7038, 9797, 6152, 847, 9731, 2799, 4287, 8032, 4782, 1745, 1657, 9161, 9875, 9831, 3510, 8400, 2454, 9883, 9482, 2249, 2283, 4139, 1387, 1242, 9181, 4265, 8229, 2825, 9488, 7388, 4108, 2669, 918, 8577, 2628, 9452, 4119, 3747, 7889, 2238, 6001, 2616, 2157, 4625, 8193, 3875, 1467, 407, 9589, 1104, 2117, 4888, 7592, 5280, 8916, 5698, 5000, 759, 7185, 3231, 708, 1030, 5804, 7116, 5507, 7281, 6159, 2317, 5448, 9569, 8290, 6384, 7907, 6950, 1980, 7819, 9981, 5210, 8267, 7150, 5669, 5143, 5651, 5478, 9497, 3203, 2845, 4388, 4765, 651, 4942, 5546, 5488, 6297, 3087, 4135, 3049, 2911, 3277, 3220, 4826, 4547, 4824, 3358, 3930, 9944, 5708, 5958, 7764, 24, 9630, 5120, 9376, 5146, 6811, 4065, 6772, 8305, 9791, 1099, 7550, 4185, 494, 8231, 9021, 5428, 5742, 1066, 7227, 4841, 1750, 9718, 1012, 8182, 7617, 2365, 2635, 6946, 5444, 3926, 1075, 1128, 9549, 9289, 483, 6333, 5033, 7691, 9356, 405, 8342, 6269, 6807, 1017, 5878, 5756, 280, 2756, 900, 5387, 8203, 2600, 3367, 2521, 9277, 6719, 6315, 5887, 476, 4982, 7929, 5665, 4844, 6244, 2102, 5926, 8394, 2847, 4444, 1810, 2331, 9939, 5188, 4500, 4264, 7314, 6011, 507, 1410, 1536, 3124, 409, 5127, 8238, 1974, 2494, 1204, 6414, 9812, 1444, 5018, 8488, 3033, 3139, 8568, 8592, 4164, 3232, 99, 46, 4439, 1025, 1996, 2158, 2510, 6188, 4713, 8672, 8469, 2004, 8975, 692, 6174, 4638, 1757, 7861, 2633, 448, 9941, 745, 1322, 9055, 9722, 8765, 7004, 3362, 5249, 2965, 2072, 4832, 5176, 6102, 3000, 6789, 3305, 8935, 7656, 8891, 4289, 4562, 5969, 5501, 2632, 7891, 5746, 4511, 8917, 9164, 3567, 4646, 6631, 2301, 1230, 8736, 4020, 9041, 6347, 34, 1490, 5156, 6484, 6382, 5038, 1666, 7748, 783, 7516, 7218, 2995, 7794, 5001, 2987, 5636, 6774, 9056, 9886, 2428, 5193, 3537, 56, 3573, 5677, 285, 2889, 8984, 5853, 5667, 6915, 1929, 5118, 2324, 3503, 8882, 531, 3944, 8076, 6527, 3490, 981, 184, 2906, 5480, 5794, 7016, 2805, 8424, 3361, 7868, 7667, 3932, 5102, 5107, 9985, 5607, 7953, 1572, 5900, 7274, 8753, 9499, 9371, 2976, 7507, 3194, 300, 9226, 960, 5282, 5635, 9403, 5081, 4920, 7600, 1090, 557, 259, 3748, 3688, 1776, 469, 2394, 1771, 7965, 5710, 1251, 9804, 9382, 1946, 1743, 7384, 1665, 437, 6596, 4792, 5173, 6214, 4977, 9002, 4058, 2582, 3641, 1398, 5644, 4349, 3760, 858, 1362, 6773, 4369, 288, 4443, 4617, 2449, 1372, 5437, 8553, 3893, 2065, 8993, 4934, 6177, 2936, 5908, 8615, 762, 164, 1154, 5563, 7688, 7118, 7629, 1051, 4727, 9439 ], [ 3988, 6254, 75, 7402, 4082, 4253, 4008, 842, 1844, 4957, 8712, 4324, 3517, 4198, 8641, 5739, 2643, 608, 7941, 3592, 4610, 748, 3136, 7087, 243, 5041, 8570, 3779, 2794, 6119, 8383, 9932, 7701, 3639, 3773, 2660, 2780, 5332, 3081, 4691, 80, 2523, 7387, 2569, 7091, 4152, 3715, 4309, 486, 4197, 6539, 6825, 5684, 4978, 3371, 7464, 8861, 6040, 4479, 8482, 7352, 6210, 7223, 5601, 3066, 2925, 325, 9899, 45, 3561, 4522, 3390, 5949, 7986, 6077, 4013, 9873, 9455, 2540, 1574, 1284, 1291, 7113, 6522, 3059, 5763, 9103, 8013, 1183, 8358, 774, 8961, 6993, 4710, 7219, 6205, 6790, 267, 8695, 3870, 3620, 5139, 6724, 4417, 2423, 7857, 1577, 5874, 3332, 6746, 4591, 5989, 133, 8646, 2840, 6471, 1338, 5668, 7855, 4916, 4508, 7867, 9612, 1377, 3769, 601, 7043, 2731, 7344, 3905, 4922, 2111, 668, 2894, 3692, 3285, 1730, 1531, 9101, 3948, 7248, 8436, 1240, 5681, 4882, 3131, 4404, 5093, 5660, 1831, 2431, 2085, 7533, 4366, 4694, 1380, 5397, 3549, 32, 9221, 8180, 1529, 9369, 1520, 4215, 7938, 5545, 814, 158, 6411, 5024, 5091, 4157, 9400, 2532, 1984, 1541, 5919, 1547, 931, 5929, 9344, 7193, 9288, 253, 1053, 1187, 7345, 6078, 3792, 9672, 357, 8558, 5533, 743, 8504, 2718, 6518, 1082, 2017, 9528, 9384, 9000, 2167, 5767, 2432, 3181, 5585, 2663, 7020, 5348, 7783, 4155, 7170, 4356, 7781, 7495, 7183, 191, 442, 8850, 3580, 1147, 1132, 4160, 9424, 904, 8379, 3813, 5088, 8104, 8684, 6505, 6026, 5334, 2629, 5979, 1652, 5134, 6012, 740, 6236, 978, 8387, 9734, 2373, 4223, 1904, 1263, 9679, 8420, 9977, 8853, 9522, 7641, 9218, 6570, 5861, 5931, 5912, 2691, 2328, 8209, 5921, 4192, 7605, 9304, 8537, 432, 9417, 9381, 352, 8106, 4190, 8183, 3016, 2581, 1619, 6532, 4751, 7271, 1121, 7645, 9537, 3162, 2223, 4939, 3404, 8042, 1091, 7790, 7275, 4943, 1063, 8883, 4211, 2869, 9432, 737, 4341, 5020, 794, 4389, 9626, 6531, 1503, 2014, 4017, 4311, 6279, 3474, 8864, 1390, 4136, 9967, 9952, 1923, 6442, 4110, 2550, 8724, 4913, 2179, 2050, 8218, 9695, 7414, 374, 6644, 9540, 9475, 4604, 8689, 1356, 5939, 9227, 7008, 1803, 7664, 5517, 6041, 8310, 2860, 3051, 3247, 512, 6301, 8097, 558, 2237, 1001, 1140, 9895, 8252, 3163, 2991, 6457, 2707, 8787, 9028, 3476, 7758, 4474, 1306, 921, 4202, 3579, 8557, 2384, 441, 3069, 2553, 9524, 3502, 8298, 5566, 8233, 2082, 6328, 7493, 1191, 9053, 1920, 7937, 2519, 4003, 1647, 7349, 6740, 9309, 481, 7653, 3872, 229, 8439, 4828, 2572, 5199, 1811, 1496, 4520, 4753, 1325, 7521, 8579, 5720, 749, 1639, 6870, 2552, 7912, 3996, 952, 3965, 2554, 7743, 180, 8523, 3818, 7682, 5374, 9224, 9997, 2490, 7593, 8457, 1476, 6438, 2488, 5766, 73, 5554, 2202, 9285, 7102, 7003, 3618, 1918, 4504, 3468, 5495, 5980, 6546, 850, 4712, 1612, 4655, 8060, 2175, 8321, 6542, 2414, 9352, 6856, 1262, 7744, 8842, 4774, 5463, 7399, 398, 7512, 9220, 6460, 5311, 2673, 1223, 9113, 1311, 2864, 14, 5787, 6049, 3208, 3533, 3731, 4116, 1738, 6296, 8096, 8273, 140, 2712, 6458, 3242, 9244, 8303, 5616, 493, 8169, 3835, 6162, 3935, 9705, 5119, 6634, 2467, 1299, 3650, 5788, 711, 8337, 3523, 4938, 1566, 7735, 7111, 3106, 8139, 6399, 1451, 5627, 9256, 648, 5552, 8651, 1252, 5811, 3197, 1044, 710, 9877, 545, 3266, 1951, 8135, 3529, 8311, 37, 8175, 8525, 420, 7393, 5434, 1610, 52, 399, 7446, 6171, 3853, 3481, 8489, 6430, 817, 211, 1023, 6921, 3934, 6309, 2583, 4509, 7925, 3862, 1903, 2032, 4159, 3471, 4440, 7792, 714, 7686, 903, 6747, 2933, 7585, 3117, 2097, 6886, 4891, 9050, 4616, 9348, 777, 5784, 3346, 6230, 9699, 2364, 4517, 2480, 3255, 7892, 3736, 8187, 5655, 4470, 1224, 1401, 6609, 9850, 2086, 1276, 6331, 1533, 6016, 4596, 1856, 7177, 2918, 9421, 1879, 4447, 1593, 4196, 9275, 883, 6304, 5671, 8848, 7306, 6626, 3301, 1674, 5981, 6900, 2063, 6318, 4856, 8018, 8647, 8976, 11, 1019, 2143, 974, 4115, 4466, 1341, 5842, 5287, 3303, 9106, 8873, 360, 7831, 2694, 2949, 4177, 647, 9660, 8503, 1295, 8068, 8829, 3073, 7797, 8745, 8138, 4321, 4251, 8109, 5075, 8837, 6760, 2704, 6744, 5935, 6300, 4080, 4094, 2990, 9373, 3034, 238, 8744, 9043, 4569, 6008, 701, 9921, 2997, 819, 7049, 7431, 8901, 7808, 1201, 2566, 2368, 5568, 3376, 9308, 8693, 7313, 7675, 6648, 9463, 3572, 7104, 7588, 719, 6871, 6514, 3363, 3991, 6885, 1523, 2709, 3374, 7556, 8176, 2489, 3917, 3105, 6627, 2939, 4806, 187, 3428, 9848, 8833, 4883, 915, 5082, 3469, 1079, 4761, 5709, 4363, 1871, 3360, 277, 8551, 2714, 1553, 6076, 9720, 2495, 7702, 5438, 5858, 6967, 7360, 706, 2246, 9176, 7031, 2652, 7989, 4720, 6342, 1094, 2585, 9618, 8220, 6287, 3096, 9395, 1436, 862, 864, 2254, 6729, 6935, 2273, 7475, 5951, 8742, 6091, 3311, 1554, 3388, 4385, 2819, 2982, 5729, 9834, 2121, 6791, 4842, 2281, 9818, 2408, 4241, 9913, 3484, 4281, 250, 6620, 7209, 3636, 5789, 7800, 4946, 9190, 1689, 5265, 8361, 5779, 1777, 2415, 5322, 3701, 7269, 2154, 3757, 5253, 8452, 9657, 224, 2401, 430, 391, 1742, 4487, 7990, 7469, 6736, 5347, 1133, 7403, 4001, 2751, 3055, 7591, 781, 1038, 5078, 7544, 8459, 2665, 5808, 3018, 1040, 2369, 1222, 9928, 1475, 1209, 613, 2407, 2549, 8333, 8854, 7272, 5994, 4448, 3402, 7457, 1528, 8486, 7532, 570, 7613, 764, 5843, 5522, 6844, 943, 343, 3532, 3035, 2380, 9673, 658, 9266, 7162, 8499, 2897, 5003, 1778, 5392, 3794, 3061, 3657, 6249, 6649, 111, 7877, 3739, 9892, 4490, 1621, 4481, 9327, 4293, 6689, 3735, 42, 1894, 8806, 337, 725, 6356, 8584, 1054, 9609, 2049, 5441, 1330, 3419, 3123, 2200, 5166, 8426, 8357, 6374, 8771, 5832, 4728, 8320, 6310, 2654, 1352, 5045, 7715, 7317, 3191, 6890, 8453, 9473, 6853, 4357, 7883, 2902, 4911, 176, 9592, 7716, 3214, 1534, 2481, 1906, 8638, 7065, 789, 9457, 1215, 3028, 9872, 7005, 2375, 4028, 6721, 5037, 9197, 5226, 3900, 1752, 1931, 1587, 7494, 4914, 3667, 7945, 2012, 4599, 6184, 4825, 3097, 7358, 6369, 2437, 4822, 3652, 6112, 1676, 3815, 3462, 2123, 9148, 3189, 1978, 213, 2225, 6355, 8458, 1343, 9338, 1900, 1042, 1814, 6748, 1002, 7620, 1766, 2388, 7526, 1363, 7297, 1549, 4687, 8129, 1739, 4273, 8260, 6002, 3895, 8481, 5622, 6741, 5719, 3976, 5986, 6122, 2679, 4112, 0, 7304, 9203, 5904, 9007, 1149, 7060, 4732, 9810, 1606, 2208, 7002, 3923, 370, 6913, 1200, 5426, 2623, 1061, 1135, 4048, 3430, 282, 2910, 3993, 3901, 6469, 7375, 3681, 7415, 1225, 4985, 1670, 6422, 4189, 1744, 9044, 8870, 6695, 72, 3568, 9270, 6857, 7775, 2981, 3525, 843, 9278, 4047, 2915, 7070, 3379, 3290, 7021, 2189, 6517, 8149, 1293, 7545, 7882, 8965, 8807, 2848, 1431, 6192, 5523, 7277, 2176, 3584, 9971, 9989, 631, 1599, 5109, 7916, 1039, 5817, 6482, 3054, 7705, 5588, 2637, 2155, 7278, 1685, 8648, 3691, 6639, 3897, 8609, 1424, 8832, 2912, 9617, 4406, 328, 8930, 2163, 4538, 4686, 340, 2684, 3023, 8912, 8126, 3546, 8225, 6972, 4556, 9854, 790, 4951, 2524, 3076, 7915, 8448, 6647, 1651, 6513, 3048, 6311, 4527, 7268, 338, 5336, 3263, 9729, 2764, 8859, 9345, 7782, 4181, 3970, 69, 5659, 4574, 5743, 6381, 7188, 4129, 8041, 2611, 7007, 9998, 698, 1386, 9251, 5251, 6621, 902, 3764, 4323, 9389, 2596, 4535, 8145, 2412, 8515, 2091, 9317, 6827, 2921, 9747, 3040, 9503, 5104, 7848, 6516, 4258, 6966, 7982, 1216, 9467, 2460, 4402, 958, 1177, 3941, 5998, 8251, 530, 4270, 3368, 4345, 2766, 1186, 8809, 1695, 1796, 4174, 9353, 809, 5503, 5084, 9561, 2896, 9550, 3396, 2963, 2722, 5840, 3223, 720, 7685, 6156, 2852, 7241, 4607, 5830, 6276, 3951, 3892, 3962, 9663, 8715, 4968, 6110, 5194, 1882, 4260, 8040, 248, 1197, 2703, 3198, 8767, 4885, 2606, 6939, 3615, 6219, 9945, 511, 5738, 2466, 760, 7148, 9509, 4724, 9936, 6763, 8872, 1360, 804, 3662, 1464, 396, 4514, 8044, 7823, 4970, 8752, 6668, 26, 4232, 897, 3899, 5672, 4169, 8389, 5451, 9622, 4283, 4762, 2503, 7574, 6410, 7129, 190, 6710, 5125, 3264, 7009, 5359, 788, 3479, 5718, 590, 1339, 677, 27, 9802, 8188, 135, 6443, 3687, 1389, 365, 5439, 1057, 6823, 4145, 9806, 6455, 8473, 4146, 1148, 8920, 3882, 8062, 8003, 3661, 3633, 3483, 2434, 5965, 3562, 2435, 4244, 3237, 3823, 8172, 4036, 5700, 9814, 5195, 7621, 1958, 5048, 2287, 6503, 6209, 5341, 3482, 3768, 279, 1764, 7108, 4804, 6995, 5035, 9511, 8353, 8454, 1706, 656, 1969, 4262, 1453, 124, 2446, 574, 2640, 7763, 6485, 8373, 9828, 2592, 2248, 6509, 155, 2670, 3992, 4840, 4693, 4870, 9954, 6073, 5682, 565, 1375, 1861, 281, 8253, 8491, 9100, 7112, 9770, 5952, 6904, 4965, 3972, 4560, 4469, 535, 9745, 5314, 5085, 1432, 70, 9654, 2557, 969, 1723, 4643, 4214, 583, 5657, 913, 4332, 4086, 1461, 798, 4917, 3617, 7898, 1801, 9859, 6690, 9707, 3098, 5288, 7531, 9133, 4431, 5096, 8616, 9964, 9563, 3891, 8722, 8012, 632, 1105, 8302, 6941, 5593, 8240, 8905, 4640, 3252, 2445, 6872, 1457, 8888, 1943, 7466, 7738, 6787, 4142, 7427, 7811, 3828, 7948, 5944, 3420, 9856, 4100, 1712, 3013, 2985, 8014, 9845, 5453, 8614, 6272, 3052, 5847, 2721, 5394, 6151, 9596, 3253, 3990, 5059, 2814, 2190, 6792, 5467, 1102, 3441, 6554, 48, 2198, 2516, 3555, 3025, 5938, 8957, 3401, 7684, 7222, 4173, 3050, 8779, 1184, 68, 7284, 9449, 3337, 6942, 6388, 8408, 2451, 982, 2352, 1422, 6869, 3230, 9437, 1852, 1981, 8617, 7902, 7362, 7547, 7025, 7452, 2391, 7960, 1754, 4501, 2603, 4212, 1167, 9343, 8716, 9898, 2775, 5569, 5454, 7067, 4609, 7165, 3921, 2558, 6800, 3887, 5625, 2695, 6504, 9629, 2465, 7858, 6362, 3543, 9628, 6165, 6408, 826, 1653, 4127, 8548, 7607, 163, 2243, 4226, 8047, 6312, 4954, 8506, 8140, 6883, 2023, 417, 113, 4131, 94, 9402, 8296, 7295, 175, 5303, 7312, 9930, 4961, 8212, 2035, 8002, 1749, 9399, 6020, 6979, 9366, 9137, 917, 5100, 3381, 3837, 5885, 3411, 5298, 4981, 4847, 744, 4931, 3683, 667, 6175, 6352, 20, 3536, 1250, 6035, 6676, 171, 970, 6066, 6268, 9636, 2785, 5783, 443, 4235, 1429, 5868, 7201, 2151, 2996, 1545, 7052, 6701, 4106, 3877, 7397, 1059, 4860, 860, 1253, 3733, 5573, 1795, 1155, 6893, 5734, 9879, 1965, 1618, 2337, 6383, 8942, 7608, 451, 4407, 6403, 9072, 8281, 2156, 2872, 7368, 368, 6700, 5449, 1243, 434, 4348, 8026, 5940, 7010, 445, 9922, 5521, 1274, 5266, 3798, 9653, 4492, 1173, 4748, 6134, 1678, 751, 8280, 9963, 4657, 587, 9141, 3614, 1385, 2710, 8332, 6780, 4491, 6474, 7870, 8173, 8627, 2656, 7140, 1164, 7050, 251, 2417, 6256, 1071, 9236, 5171, 3425, 5547, 9025, 1145, 9911, 630, 906, 3950, 8756, 9641, 3172, 3321, 5138, 2366, 7984, 5368, 3071, 9794, 1005, 1543, 4422, 4222, 841, 7612, 3668, 3309, 7296, 8247, 1746, 8377, 7497, 1272, 5819, 6200, 6232, 6657, 1168, 83, 6838, 9919, 3574, 5430, 3807, 1020, 9762, 55, 8903, 5525, 2878, 470, 932, 6373, 4542, 5310, 9576, 6480, 3974, 3254, 5844, 89, 6640, 795, 8507, 6924, 5002, 6769, 9479, 2341, 3968, 5941, 3519, 2474, 1161, 2914, 8990, 6412, 4203, 7994, 5510, 5749, 9867, 8623, 2577, 934, 1073, 6079, 3535, 623, 3914, 1355, 1648, 4829, 3526, 5122, 2589, 5294, 6452, 9375, 9900, 6545, 6290, 7993, 1342, 8345, 3590, 2213, 1829, 5736, 8468, 7138, 2812, 4613, 890, 3138, 9950, 1310, 9685, 2074, 2529, 6198, 4512, 4378, 4802, 2822, 6441, 121, 4365, 9460, 9811, 8817, 8597, 6584, 9438, 2954, 5879, 106, 1935, 2973, 44, 8512, 4342, 6976, 680, 3082, 5809, 287, 1809, 2430, 4387, 8022, 2528, 3369, 263, 9577, 4427, 8487, 863, 8532, 8224, 115, 7441, 6757, 8776, 4873, 9530, 7311, 7785, 6552, 5810, 8915, 3147, 9674, 6833, 4739, 1069, 2833, 8602, 7864, 4278, 1986, 763, 8992, 6707, 4029, 3672, 596, 8360, 3986, 8074, 661, 5149, 3177, 4570, 6250, 4647, 7187, 9677, 273, 9737, 8216, 6298, 8908, 183, 2967, 249, 5379, 5515, 2020, 1522, 7155, 2746, 2626, 2527, 6718, 1373, 873, 2083, 8894, 2882, 1153, 8073, 7396, 4331, 1273, 9917, 6799, 1537, 5713, 7542, 5186, 4749, 3928, 4450, 4059, 4703, 1905, 9542, 4862, 9387, 2883, 1838, 2055, 4335, 891, 108, 9071, 9306, 9724, 423, 7946, 4958, 986, 9477, 203, 3113, 6775, 1731, 5565, 4905, 6470, 5913, 3541, 7483, 7195, 6069, 228, 6325, 491, 9965, 4118, 9554, 6131, 4034, 138, 9030, 3020, 15, 9855, 1064, 5663, 1922, 9116, 1423, 1501, 2642, 3737, 4275, 2604, 1507, 9246, 2048, 2180, 87, 5803, 3871, 1347, 4983, 1841, 1989, 2682, 7055, 1835, 6919, 7852, 2340, 8393, 9644, 8637, 7422, 1525, 4715, 4375, 2923, 6540, 2888, 5583, 4327, 6797, 5991, 8356, 2403, 5333, 2475, 9198, 4161, 5497, 7089, 7650, 9584, 6824, 1735, 4830, 8517, 1825, 6830, 4781, 9586, 8084, 9059, 2576, 2057, 6435, 9240, 4358, 1400, 8181, 8828, 9377, 7663, 1815, 8474, 4760, 7486, 8200, 7230, 992, 482, 59, 4451, 3816, 1312, 6574, 8295, 5360, 3130, 4070, 4810, 9908, 2689, 3331, 225, 6143, 1449, 7122 ], [ 8179, 8053, 9322, 9763, 4871, 8030, 9129, 8827, 2667, 2289, 1565, 4666, 4736, 6170, 9022, 6577, 2586, 4019, 2900, 3842, 2736, 7247, 1519, 6739, 690, 1337, 7156, 6391, 2732, 8601, 8031, 6656, 7243, 1506, 7351, 1822, 4255, 5697, 7706, 3329, 944, 254, 2584, 9803, 3133, 151, 8723, 7114, 5542, 5937, 4057, 7381, 8286, 1907, 785, 1416, 4076, 3784, 8670, 1269, 2230, 6848, 8877, 8885, 9894, 8367, 7382, 1659, 547, 8770, 6407, 5895, 9076, 729, 4121, 3094, 3467, 252, 1067, 9068, 4442, 7647, 8529, 832, 8796, 1364, 9039, 2551, 7029, 2500, 3221, 8413, 5283, 5815, 3762, 1979, 2034, 9960, 5865, 4879, 8946, 2646, 1008, 3497, 6396, 8735, 2952, 1146, 1898, 2367, 4766, 6685, 6009, 908, 7538, 4425, 2700, 6046, 5630, 6125, 9223, 492, 2723, 1454, 6197, 9651, 3888, 4267, 8688, 1843, 7012, 7459, 4654, 8, 2957, 349, 2296, 97, 5642, 579, 1756, 8636, 7796, 3771, 3563, 9057, 7677, 6018, 2479, 9853, 8495, 9372, 9862, 6292, 65, 8630, 5511, 4756, 5580, 5482, 2647, 7649, 9209, 6916, 5420, 6854, 8049, 5468, 7240, 2374, 3053, 8306, 4979, 9559, 9667, 2346, 7508, 3127, 9838, 8956, 9097, 4010, 9163, 312, 6918, 5960, 3940, 4597, 6370, 7638, 475, 371, 8341, 6581, 9067, 6499, 8338, 6364, 4930, 621, 6393, 4023, 8840, 378, 2112, 7487, 1196, 3799, 9456, 2443, 2138, 3121, 3062, 5471, 771, 9019, 7236, 2849, 4050, 2314, 3915, 6920, 2355, 326, 5126, 4274, 5629, 9098, 462, 8313, 268, 9247, 9966, 1740, 8275, 6732, 1298, 7078, 5357, 6097, 2638, 3547, 7137, 5390, 2218, 4092, 8472, 9162, 6432, 5645, 7603, 885, 8199, 425, 3912, 3108, 8441, 829, 8227, 6149, 7901, 9938, 6042, 4800, 9420, 4153, 5276, 5412, 837, 6266, 8692, 2276, 6282, 9249, 3920, 6650, 8606, 4336, 1650, 1254, 9404, 8555, 7644, 8629, 2835, 8291, 8352, 9691, 4238, 9902, 1282, 838, 9035, 4097, 6841, 8194, 911, 2222, 2590, 2601, 3743, 5092, 5579, 3414, 1830, 6536, 1716, 2741, 8465, 4880, 1359, 617, 8860, 6444, 2319, 1627, 4205, 7822, 4095, 4218, 4367, 6361, 5640, 8718, 3403, 4907, 7725, 1597, 3306, 6454, 2978, 8936, 1753, 6222, 380, 3864, 6669, 1718, 6984, 9857, 197, 341, 1567, 2135, 4089, 1899, 9291, 799, 9680, 5376, 2077, 4484, 5302, 7826, 1256, 7985, 3407, 6711, 188, 8773, 4172, 3170, 5136, 6141, 4969, 1590, 3849, 3761, 9598, 8528, 1237, 2898, 7463, 2942, 1143, 2473, 5242, 9510, 526, 7184, 1763, 6067, 5549, 3173, 5076, 844, 2940, 9991, 4744, 7023, 646, 4090, 2892, 5800, 5796, 6548, 1629, 2095, 9112, 8613, 5270, 5424, 1199, 379, 5538, 5179, 3997, 8588, 524, 5857, 3656, 8004, 9492, 2559, 3702, 8878, 4962, 7695, 5236, 6661, 2272, 8351, 2071, 2514, 1270, 3495, 4351, 3721, 1080, 9385, 4773, 4529, 6908, 3171, 6953, 385, 7576, 3027, 9801, 6395, 2109, 7730, 142, 5551, 3236, 5175, 4318, 555, 7051, 5007, 4927, 2078, 5410, 8962, 3090, 2515, 4302, 8409, 7263, 8621, 3863, 6267, 7959, 5867, 4054, 4186, 2496, 1009, 6506, 150, 276, 4537, 6519, 4067, 6358, 3542, 9715, 840, 5581, 2562, 2148, 2725, 4944, 3805, 2251, 147, 8934, 1327, 8526, 2024, 9058, 1329, 5089, 3437, 7406, 6487, 9321, 3019, 8250, 6862, 7130, 9643, 112, 9754, 9118, 5914, 550, 3302, 5077, 5466, 3443, 7032, 1182, 8269, 1279, 2348, 9263, 9562, 7100, 5953, 8021, 7987, 4772, 2128, 1219, 2207, 2931, 521, 5260, 6716, 7251, 9189, 9481, 9204, 7079, 1120, 756, 6372, 1351, 5417, 4788, 5087, 5039, 311, 6680, 6139, 382, 3728, 7334, 7836, 717, 3999, 6952, 8133, 1481, 635, 5445, 7144, 5108, 7888, 6694, 9664, 86, 1323, 6537, 5367, 7769, 2624, 5839, 3670, 7126, 5988, 3643, 1469, 2022, 4803, 6031, 3717, 568, 1101, 2037, 4906, 7809, 7442, 7944, 1318, 5649, 7834, 3583, 2924, 6524, 3129, 139, 9721, 291, 19, 7342, 1780, 7229, 477, 2483, 9215, 1443, 6120, 9940, 9478, 4726, 64, 4831, 2769, 4808, 2306, 354, 8444, 3511, 5798, 472, 1578, 484, 8734, 8808, 2758, 8766, 4534, 6007, 7467, 6245, 2546, 9796, 5257, 9012, 1711, 525, 9633, 9710, 2420, 3225, 2884, 345, 9208, 508, 2946, 5112, 9254, 7081, 332, 604, 2893, 4446, 5658, 6572, 9934, 8533, 852, 316, 5345, 4996, 4628, 2316, 5327, 6525, 4649, 9392, 2778, 678, 6109, 3621, 8561, 6086, 4839, 9232, 4162, 3557, 7872, 674, 9897, 8161, 3645, 2199, 9199, 1041, 1498, 2313, 3126, 3432, 1794, 8661, 7299, 2664, 2908, 3218, 4040, 731, 7455, 5462, 6755, 450, 4558, 4690, 3689, 1213, 6698, 5097, 6421, 8933, 3435, 2382, 2525, 8644, 8521, 9861, 185, 2482, 3585, 1785, 7878, 406, 4409, 3919, 3342, 6949, 5319, 564, 1786, 4823, 9907, 9265, 8322, 7558, 1179, 4851, 5489, 9060, 7194, 2856, 2397, 1521, 5722, 8300, 3983, 5712, 6936, 3205, 4945, 7202, 1349, 6129, 5115, 6306, 7933, 7207, 9036, 8330, 4688, 8484, 5259, 9259, 5457, 9519, 4381, 1107, 1999, 1758, 3089, 7913, 9735, 7704, 2485, 2293, 1755, 1613, 7577, 1016, 9293, 6051, 3802, 6619, 696, 7123, 6717, 3839, 5329, 9975, 2688, 9280, 7950, 4605, 5177, 5694, 8816, 7250, 3603, 6998, 7604, 8720, 6809, 5755, 5790, 1714, 8973, 1379, 3513, 5393, 7519, 4656, 7481, 3102, 5955, 2905, 6285, 9433, 3809, 3002, 2064, 707, 6643, 5183, 5704, 2103, 2784, 6837, 8470, 6629, 2219, 5299, 7232, 7326, 5634, 4852, 1142, 7674, 6617, 272, 2920, 5777, 5267, 3281, 3384, 1562, 3722, 5752, 2429, 1245, 9889, 3793, 7579, 2728, 7567, 5216, 5717, 6692, 9342, 5050, 1288, 8565, 7392, 4980, 1232, 2672, 8112, 6897, 7379, 3559, 342, 3448, 9239, 5678, 3883, 1883, 9409, 1546, 8607, 2509, 7840, 3922, 6697, 6575, 5386, 9508, 7955, 8164, 2737, 2172, 6111, 861, 1502, 4301, 3869, 9740, 681, 637, 2755, 6060, 9313, 376, 8608, 2114, 1417, 7072, 8656, 7499, 2234, 1849, 778, 6055, 8604, 7999, 8746, 4784, 9885, 162, 5187, 8534, 7568, 5447, 6417, 6961, 1924, 4745, 7141, 7527, 1139, 2371, 9212, 4600, 8711, 1093, 6208, 2706, 7614, 2786, 7724, 2325, 3058, 9953, 2802, 3601, 1791, 1948, 3431, 9126, 2811, 9156, 3800, 2411, 6409, 6684, 5481, 60, 1692, 9383, 2327, 1573, 8804, 4252, 1977, 2772, 594, 3626, 9684, 7239, 6302, 820, 3811, 3157, 5152, 2662, 5255, 3554, 5567, 7539, 9446, 9379, 377, 8376, 571, 2357, 339, 5646, 7158, 9422, 7491, 9069, 901, 8794, 309, 260, 8105, 2950, 395, 3091, 2312, 8314, 9594, 7897, 2877, 1938, 2233, 4929, 9416, 284, 8131, 8937, 8256, 2938, 1694, 6865, 1634, 3576, 2087, 3344, 2555, 7887, 1728, 6440, 1233, 8586, 9350, 5553, 6613, 5164, 6453, 8137, 3713, 1421, 1460, 2615, 5838, 3, 8643, 659, 5162, 9480, 2038, 1636, 7030, 4585, 8567, 7372, 9159, 870, 5208, 3150, 3642, 2854, 8249, 7063, 9666, 1236, 4592, 463, 198, 4704, 7386, 6144, 5570, 509, 6784, 7086, 1336, 2059, 78, 5751, 8757, 7273, 199, 5512, 4419, 4790, 3665, 1013, 7046, 5761, 638, 8403, 7766, 6217, 4295, 265, 2279, 6000, 6948, 1915, 5304, 7333, 2610, 6603, 6329, 5676, 4953, 1278, 6977, 3595, 3522, 1767, 3164, 3770, 9580, 6808, 7718, 2025, 942, 353, 4308, 628, 7501, 9771, 8081, 6406, 58, 4565, 9686, 7142, 582, 1707, 8595, 2211, 170, 8759, 876, 9374, 7979, 5151, 8763, 9415, 4386, 1961, 5017, 739, 3160, 2753, 8880, 2458, 1477, 1954, 8960, 1473, 9178, 643, 1068, 1668, 321, 2227, 8146, 2803, 5492, 7668, 9781, 9461, 7027, 6589, 664, 5263, 5930, 1846, 4229, 6846, 3985, 4079, 6339, 2716, 7854, 8419, 9454, 7282, 5990, 2188, 8834, 8095, 6, 9780, 118, 3354, 1007, 4009, 5335, 3766, 5305, 8624, 1673, 941, 1614, 2192, 2861, 1820, 9336, 3095, 5557, 9486, 2484, 4516, 1620, 4149, 8246, 7671, 3612, 9429, 5577, 7739, 4776, 964, 8562, 2858, 5864, 4955, 8123, 8222, 3977, 7235, 9150, 6093, 6821, 2116, 7710, 5106, 5814, 17, 7061, 9916, 5219, 8950, 5707, 5945, 9183, 6881, 8239, 8107, 810, 9184, 7553, 4498, 1880, 881, 3339, 2258, 6103, 769, 7412, 4971, 9238, 592, 397, 1704, 3884, 1285, 9973, 4813, 1737, 161, 2871, 6687, 977, 5243, 2876, 8789, 1258, 116, 7074, 8388, 4158, 7430, 1165, 9947, 9739, 4974, 5178, 3006, 4269, 9668, 4435, 7364, 6126, 23, 334, 4496, 1680, 7977, 7741, 5854, 538, 3383, 9880, 5049, 828, 5383, 7655, 7308, 3966, 6476, 4816, 3801, 1686, 4088, 4950, 7562, 2302, 2813, 3605, 9982, 6234, 2649, 8547, 2210, 4148, 7599, 573, 2453, 6592, 3068, 5475, 3619, 3961, 4032, 2019, 2901, 3262, 3307, 1138, 6498, 6263, 4317, 6858, 3385, 4973, 7757, 3078, 1512, 6956, 8116, 2161, 2770, 413, 4932, 5362, 4071, 1049, 9755, 6322, 9625, 3156, 7697, 7880, 6798, 6996, 9759, 5103, 5090, 5004, 811, 8045, 894, 7923, 3357, 8346, 8764, 2041, 8404, 6582, 6901, 4228, 7203, 8642, 8546, 271, 6762, 2393, 956, 5555, 7833, 6990, 8077, 38, 5099, 5995, 1, 7714, 7426, 6191, 2810, 8001, 9694, 7149, 5272, 8925, 8057, 1458, 5899, 8924, 730, 8972, 8214, 1982, 5876, 7217, 3834, 5388, 9235, 1684, 8987, 6493, 9536, 3894, 5851, 6225, 103, 2147, 9248, 9332, 4778, 4989, 3582, 7727, 6558, 8257, 6427, 5530, 4663, 8959, 4523, 3978, 2831, 4049, 1112, 2419, 4764, 3597, 3825, 8998, 4480, 1504, 3372, 3786, 3504, 7602, 8384, 192, 2252, 1632, 5014, 653, 4645, 6335, 5406, 6538, 5074, 6223, 6099, 8665, 813, 9539, 823, 1045, 665, 1505, 1480, 8082, 3984, 1775, 6148, 5737, 8786, 3238, 6796, 2033, 5872, 1348, 3903, 9185, 7729, 8317, 4216, 5192, 8086, 4787, 9758, 9999, 6500, 5019, 3724, 704, 122, 1144, 2398, 4364, 7991, 1447, 4399, 5432, 1701, 955, 7956, 6431, 3755, 1159, 580, 2563, 4835, 4580, 9987, 3210, 5799, 5508, 2612, 5474, 5778, 726, 3812, 5613, 1205, 1076, 8054, 1194, 5825, 5550, 7053, 1300, 9951, 9365, 959, 3445, 540, 6218, 1927, 3424, 3676, 5529, 6308, 6801, 165, 4134, 33, 8340, 5653, 705, 9665, 4126, 7770, 9607, 4848, 9881, 1376, 2699, 1975, 4279, 1463, 6614, 9167, 8952, 9901, 3330, 3635, 2334, 8699, 930, 8398, 4518, 1048, 2970, 1136, 1122, 1244, 9769, 9168, 4, 2013, 4820, 3488, 2962, 2504, 7265, 8198, 985, 6899, 2727, 2002, 4895, 2724, 9299, 6863, 6401, 2236, 6138, 8315, 9413, 2934, 3866, 6569, 7981, 3719, 5040, 805, 3135, 3279, 1227, 6535, 9606, 4396, 7679, 5972, 5150, 3348, 346, 4606, 5597, 6088, 8540, 9652, 7173, 4735, 4322, 1361, 1788, 2292, 3880, 869, 8079, 6612, 2492, 2067, 6751, 8152, 289, 2826, 9074, 8899, 1289, 6280, 7700, 9483, 8969, 2533, 9045, 7450, 2815, 6803, 673, 3581, 8887, 4959, 1383, 5852, 9042, 5942, 3199, 6465, 6433, 8797, 1736, 4716, 5641, 4881, 916, 7059, 1995, 9349, 6867, 9767, 7711, 3086, 4424, 1212, 4699, 3775, 5418, 7290, 9996, 1817, 6038, 7409, 1324, 6779, 4343, 703, 8600, 2627, 9262, 7321, 4662, 7166, 3908, 1628, 5337, 3207, 2865, 6392, 5373, 245, 2992, 6083, 2110, 8571, 5261, 5095, 938, 2185, 4379, 8653, 4928, 2972, 2859, 1601, 9830, 3571, 4952, 6702, 4933, 4299, 6113, 6683, 5674, 8633, 7626, 3752, 9258, 9355, 5268, 5818, 3788, 8336, 6080, 6756, 7917, 5415, 6562, 9994, 8988, 5340, 947, 1217, 7068, 230, 2658, 965, 5411, 6925, 9821, 8574, 4132, 2907, 4284, 7474, 172, 1997, 1438, 6044, 2979, 6852, 868, 8581, 8668, 5358, 3031, 2457, 7254, 9269, 3427, 3234, 1793, 1492, 7105, 8117, 5135, 4453, 4775, 3010, 9798, 3273, 6929, 4432, 7670, 4901, 8674, 6145, 1441, 7340, 1487, 4925, 2536, 2545, 6048, 394, 8852, 438, 5948, 4144, 6864, 3148, 3088, 3065, 313, 2191, 6398, 5527, 7866, 5862, 9450, 1970, 2361, 8538, 3744, 8324, 364, 3008, 449, 2267, 1419, 4310, 9789, 546, 2748, 62, 6265, 2247, 2381, 1968, 6851, 4849, 3074, 3258, 3723, 1455, 5724, 5757, 5505, 21, 2821, 649, 1113, 3727, 3594, 7482, 9186, 1784, 3795, 806, 6521, 5013, 8696, 3675, 1448, 290, 8266, 732, 2061, 9143, 7443, 302, 6501, 6089, 5339, 4683, 6566, 2824, 1415, 5491, 6064, 1095, 7610, 6054, 8038, 100, 5816, 2332, 3669, 9649, 1485, 5470, 2630, 8039, 3949, 5695, 8772, 8780, 2980, 1489, 8075, 1003, 4437, 5479, 2162, 3004, 7927, 4423, 2757, 4921, 7167, 7843, 1280, 154, 4455, 2311, 2277, 1930, 2044, 1889, 3423, 8365, 7873, 1719, 6761, 5927, 3359, 8694, 2356, 8378, 544, 63, 7176, 9089, 9717, 8732, 9851, 6446, 3578, 6750, 3318, 5421, 2641, 1813, 145, 9738, 4413, 9611, 4949, 9064, 373, 7034, 8813, 3783, 2353, 797, 8698, 3072, 3931, 2094, 1708, 2232, 7400, 8677, 25, 1682, 2537, 9318, 1586, 7799, 4195, 3439, 6349, 4552, 6428, 1314, 5732, 6277, 2186, 6224, 7745, 2183, 523, 1873, 3943, 127, 9541, 9514, 1893, 7160, 7623, 8799, 7035, 5947, 6713, 9172, 3466, 7760, 8020, 8792, 3756, 8122, 3824, 9443, 3957, 8312, 9627, 8564, 5137, 6363, 2866, 9723, 4231, 144, 7721, 2300, 6544, 128, 3698, 6360, 910, 7557, 1667, 1544, 7951, 436, 7132, 1249, 8791, 3063, 2043, 5740, 1942, 4178, 6158, 6826, 7458, 4935, 6635, 8536, 1854, 7921, 4398, 1514, 6423, 2421, 389, 3896, 9004, 8704, 6734, 1957, 4639, 2930, 3886, 782, 306, 5306, 3527, 699, 9638, 7135, 8245, 5888, 2462, 9816, 4184, 210, 4246, 6832, 5431, 3436, 7154 ], [ 1585, 9937, 666, 9142, 408, 49, 8099, 3289, 6072, 8851, 3819, 827, 5632, 9489, 6062, 1658, 7972, 8906, 6608, 8501, 679, 6494, 874, 1847, 7615, 3487, 7837, 2173, 7328, 5344, 1559, 88, 8355, 520, 2671, 237, 6123, 8471, 499, 7964, 6638, 2159, 1261, 5877, 6598, 948, 792, 8070, 515, 8591, 7936, 8989, 2062, 9615, 589, 4550, 984, 2526, 2370, 2620, 4725, 6293, 8417, 8184, 650, 5996, 8941, 9081, 4039, 2948, 754, 1482, 318, 3211, 9276, 4976, 7221, 6534, 6954, 9125, 5826, 1768, 6176, 3183, 9564, 6782, 7343, 9216, 9430, 7820, 3291, 3630, 7309, 3038, 735, 5331, 4193, 9620, 3413, 7301, 2538, 6781, 2010, 2052, 1176, 7477, 753, 3355, 8895, 893, 5735, 5352, 4758, 9091, 9330, 4583, 3377, 2947, 620, 3343, 9272, 9874, 738, 6350, 7355, 6153, 3042, 7013, 7357, 3751, 5582, 7805, 2291, 5403, 8690, 8709, 5051, 7940, 1368, 7713, 5113, 8063, 6207, 8479, 3453, 2832, 6071, 9464, 5602, 6605, 6492, 4292, 9340, 9868, 3079, 3093, 1721, 9727, 8777, 2579, 9128, 4361, 1932, 3506, 5286, 8622, 1509, 2613, 3746, 772, 1589, 980, 4718, 7742, 7845, 4531, 3119, 8839, 7863, 8611, 8719, 2215, 1888, 4072, 3410, 1344, 2217, 7517, 8691, 4669, 7303, 6937, 9171, 2290, 3456, 8683, 723, 8954, 8811, 1759, 6543, 6879, 7609, 1083, 1859, 5144, 9547, 4102, 6502, 8543, 5596, 404, 1726, 8354, 8263, 9841, 4165, 9988, 8492, 7245, 2051, 7172, 6357, 9026, 633, 2839, 919, 5623, 5574, 1972, 8011, 7980, 639, 5391, 9180, 2789, 3447, 8297, 5461, 7460, 7256, 3927, 4304, 4837, 9815, 5520, 303, 8344, 7587, 1936, 3378, 1604, 2800, 7042, 7978, 6376, 4395, 6463, 5589, 770, 3351, 6377, 160, 8120, 9764, 6419, 5813, 5350, 330, 8374, 7428, 9282, 5297, 7754, 8964, 7327, 8516, 1677, 7294, 6307, 1933, 4346, 9084, 258, 5728, 6402, 5346, 5610, 7468, 569, 1934, 6366, 2988, 7597, 5323, 5355, 1709, 264, 5689, 9910, 1296, 6834, 2837, 301, 5320, 22, 3539, 7761, 7182, 563, 8328, 831, 1340, 5433, 3473, 1202, 9792, 5776, 5675, 2229, 8520, 4611, 7444, 6876, 9242, 433, 7692, 9274, 4182, 4780, 3046, 6104, 4513, 3480, 5745, 3708, 8823, 1391, 3598, 4759, 2977, 5381, 7839, 5308, 1185, 6166, 1405, 6313, 5111, 5856, 7860, 2904, 7815, 9445, 6354, 877, 9551, 8430, 2108, 927, 8874, 9869, 1603, 7737, 9444, 419, 4233, 846, 693, 7054, 7212, 1821, 8347, 1568, 1912, 9222, 5827, 3267, 3725, 6353, 1103, 5696, 9093, 5230, 4475, 6735, 4200, 4795, 3876, 4011, 5730, 8664, 752, 4924, 2124, 1839, 6340, 9640, 8462, 3017, 5218, 6571, 6108, 2472, 2998, 8127, 4436, 7884, 6726, 7022, 3499, 7432, 5201, 7590, 2768, 9708, 9716, 5936, 4445, 9884, 4441, 6957, 324, 2953, 4483, 2220, 5330, 7439, 9032, 6662, 3463, 2917, 5034, 5353, 8477, 5458, 5759, 1908, 4680, 4737, 7371, 2129, 5662, 5934, 5069, 1834, 675, 5614, 7121, 533, 2444, 6344, 496, 9484, 5928, 182, 1446, 6563, 8319, 8858, 1407, 8713, 7578, 2305, 9557, 7057, 2329, 393, 1656, 2070, 4390, 3726, 2088, 5516, 5705, 4026, 8015, 8091, 257, 1687, 2685, 4024, 9405, 7231, 3185, 8774, 907, 9229, 431, 3080, 2174, 2959, 5241, 3625, 9253, 9328, 6630, 152, 7500, 3141, 7723, 2144, 9645, 2806, 117, 4408, 9177, 8626, 1033, 8217, 7492, 2323, 3780, 5063, 3308, 5010, 3540, 6343, 8701, 4791, 8700, 1697, 9846, 4854, 7922, 8726, 3400, 1056, 3939, 3294, 7064, 3417, 5727, 8971, 9757, 5205, 9807, 2069, 278, 4354, 9339, 7536, 1430, 8826, 1395, 5065, 8788, 8527, 4797, 5385, 2701, 6351, 5114, 6561, 4291, 8271, 2801, 1428, 6938, 7835, 6346, 2895, 3534, 1152, 6753, 9570, 6161, 4371, 3924, 1317, 5446, 3167, 5514, 7689, 4497, 4143, 9476, 1769, 4140, 3057, 9237, 292, 9047, 3265, 9006, 7391, 3649, 4789, 5956, 1086, 6330, 9775, 9234, 2007, 1420, 7973, 8349, 5005, 6765, 3326, 3299, 5670, 8418, 2899, 384, 4259, 226, 3648, 5812, 6459, 1947, 7056, 4697, 1699, 9279, 4747, 3994, 1518, 6199, 8390, 7413, 7756, 2168, 4903, 2056, 9624, 2425, 683, 8072, 1681, 9155, 47, 453, 1783, 4415, 4754, 5316, 9398, 4460, 8749, 3846, 1246, 2827, 7498, 293, 3740, 8857, 8760, 4972, 2621, 304, 7634, 2344, 4567, 4461, 1542, 4038, 4416, 8652, 7601, 8195, 7905, 6636, 4151, 4167, 9909, 3022, 8845, 1065, 3508, 3936, 4532, 4261, 8948, 9090, 5364, 6420, 9949, 7159, 4515, 8830, 4191, 8835, 297, 8733, 4476, 7213, 207, 4355, 9233, 1072, 787, 3188, 1952, 7690, 3868, 3651, 5184, 2304, 2913, 2677, 242, 1790, 5692, 4815, 4892, 7315, 4333, 8166, 7367, 8675, 8277, 9205, 9681, 7006, 1950, 3011, 3021, 5301, 3829, 411, 2402, 386, 6560, 5744, 8467, 2396, 6958, 4796, 7726, 6693, 2761, 5083, 4644, 3712, 3257, 8411, 4411, 1896, 9843, 4373, 8412, 7546, 4410, 7995, 2196, 5760, 8089, 6260, 5896, 9701, 2081, 6473, 9360, 689, 5621, 8228, 54, 8017, 517, 7279, 9082, 8725, 5174, 6235, 2792, 5145, 1260, 8331, 6117, 839, 9920, 5999, 8702, 1633, 551, 7287, 7722, 3190, 1354, 1450, 2935, 2747, 2271, 5384, 2928, 9407, 5338, 5395, 1837, 1868, 2531, 3730, 7890, 8790, 3902, 2617, 6951, 143, 543, 8415, 4243, 5363, 2607, 8511, 1125, 7478, 2354, 4805, 6142, 9496, 6616, 3422, 4006, 2816, 9558, 5250, 1411, 5823, 5539, 8287, 3161, 8110, 3465, 5472, 4122, 7257, 8301, 3647, 6971, 2303, 4568, 418, 6632, 815, 9779, 8991, 9014, 1664, 6882, 7522, 9813, 1433, 8185, 6397, 478, 7356, 5121, 4075, 1944, 5237, 6006, 3442, 169, 7774, 2513, 4598, 1526, 2031, 9498, 2442, 3137, 822, 6270, 572, 7339, 4767, 2030, 2993, 1672, 7581, 5886, 7134, 712, 8006, 9310, 8913, 2131, 1439, 8207, 3406, 9573, 4635, 8855, 8066, 2863, 1581, 2777, 3115, 939, 3251, 196, 9984, 9512, 691, 7139, 7974, 2016, 4401, 7330, 9326, 8818, 6386, 1074, 2360, 5490, 3860, 8762, 6415, 853, 6481, 718, 4819, 9634, 4964, 8666, 5590, 5012, 7699, 6728, 7694, 3003, 8196, 1891, 1594, 1052, 4908, 7683, 7643, 9927, 6005, 1631, 8167, 2964, 836, 2539, 5233, 4857, 5203, 4109, 967, 2099, 8033, 8803, 766, 9870, 359, 2184, 7080, 3286, 4652, 2113, 4352, 6745, 6933, 9465, 9507, 6556, 5057, 3609, 6385, 532, 8587, 4230, 5206, 66, 9959, 757, 7875, 1170, 9795, 991, 9367, 1641, 6186, 1887, 9709, 5690, 1437, 2823, 6437, 6240, 3158, 6047, 6660, 7226, 6114, 3122, 1655, 6439, 1727, 8348, 5023, 2653, 7465, 7777, 7267, 9491, 193, 1084, 4899, 6940, 3911, 6259, 4859, 2203, 8410, 7174, 1178, 8141, 835, 4833, 2609, 7827, 6348, 5008, 1089, 1870, 4397, 91, 4077, 9214, 3929, 2362, 8000, 786, 6722, 644, 1408, 6426, 5824, 929, 2376, 7233, 4249, 8904, 8155, 5884, 7370, 2358, 4403, 9773, 4187, 1862, 468, 4068, 3014, 7817, 8461, 6855, 3913, 9893, 6213, 4769, 4225, 8881, 6466, 4986, 8819, 857, 6085, 4658, 2181, 5860, 1427, 9187, 148, 9307, 329, 1172, 4855, 8754, 8812, 8219, 8171, 5957, 4801, 7680, 4312, 8334, 1884, 4315, 5116, 3749, 1032, 5025, 2717, 3987, 7186, 4420, 6030, 3438, 7098, 3316, 8177, 536, 2958, 9107, 9427, 9560, 6817, 5572, 8121, 3777, 4785, 3600, 3501, 8493, 4768, 1111, 5774, 3638, 2951, 8083, 8947, 2512, 5190, 5855, 670, 8350, 3530, 1470, 597, 8836, 3356, 9678, 6434, 7586, 7136, 7471, 4206, 728, 5281, 9466, 972, 3552, 2338, 2387, 8406, 3653, 5943, 988, 4236, 8983, 5234, 3041, 9119, 5123, 9319, 660, 4642, 2614, 5062, 8156, 8697, 3116, 5398, 85, 3591, 2318, 344, 5325, 3852, 8778, 107, 8963, 6987, 8274, 4692, 7106, 6910, 3765, 8560, 9575, 8304, 8876, 1864, 2120, 2464, 5907, 1382, 514, 2469, 9882, 9013, 2807, 3060, 2719, 7128, 6814, 3056, 1722, 2618, 7681, 9391, 208, 8151, 9485, 3179, 3297, 1294, 1494, 7918, 6646, 6861, 6187, 3982, 5027, 625, 9052, 9713, 7619, 9866, 6462, 4863, 9408, 8432, 3475, 6167, 6150, 4524, 3313, 2285, 5725, 2100, 6551, 7646, 747, 8153, 9525, 2820, 4489, 5733, 390, 7802, 214, 6771, 5142, 8897, 9087, 4276, 4338, 7084, 5771, 7859, 8569, 92, 6738, 1748, 9051, 2598, 3878, 6523, 2440, 1096, 9614, 9410, 1160, 3729, 2410, 2661, 7885, 1211, 7224, 3998, 4947, 3827, 1816, 1077, 9748, 8160, 6368, 7047, 7503, 1802, 3070, 1875, 8254, 2127, 3246, 3184, 1114, 2294, 7066, 9182, 3216, 5519, 3707, 7225, 6332, 8919, 1926, 314, 5656, 4085, 76, 3604, 7594, 101, 8048, 331, 5702, 9131, 3704, 791, 5009, 456, 5925, 2851, 5371, 3235, 7633, 4757, 1286, 3493, 3971, 9520, 3955, 6793, 168, 29, 6507, 6896, 687, 3686, 8994, 505, 8966, 3180, 2266, 5476, 1690, 808, 8450, 6622, 9011, 227, 41, 548, 7420, 3433, 8316, 6907, 179, 5891, 7190, 4137, 949, 2738, 3954, 8708, 4325, 6336, 5223, 1807, 9567, 2879, 5500, 6227, 3500, 298, 3674, 6483, 6081, 7975, 7968, 7611, 7932, 887, 7762, 2838, 4457, 6201, 1158, 3602, 7803, 6932, 2309, 6036, 429, 8292, 979, 1478, 480, 9412, 8649, 9361, 8364, 1078, 8094, 7920, 4858, 9906, 6999, 2943, 2195, 2320, 6794, 5850, 2697, 5292, 9303, 6216, 5976, 6859, 6039, 506, 7490, 6912, 8090, 7146, 5754, 5044, 859, 8580, 7127, 879, 9597, 2547, 2350, 1394, 4405, 2269, 3226, 5354, 5052, 9472, 8034, 6955, 6105, 528, 3470, 845, 616, 9650, 6969, 3718, 1085, 5528, 1539, 6873, 4168, 5598, 205, 3832, 9725, 9590, 702, 8276, 8150, 2321, 4486, 3772, 2791, 5828, 6770, 4956, 7881, 200, 1917, 3664, 5256, 2, 8371, 9231, 7874, 1092, 1869, 7099, 669, 875, 4533, 8061, 5691, 8768, 2418, 685, 998, 6625, 4798, 5182, 5726, 8159, 458, 2308, 3947, 6715, 2961, 6241, 4590, 4777, 5158, 5022, 8594, 1109, 1963, 1283, 2599, 4621, 1751, 5902, 4536, 3659, 742, 3421, 3195, 4988, 6497, 4991, 7095, 1381, 3750, 7331, 2681, 9669, 9655, 2511, 4581, 2887, 4307, 3696, 336, 3186, 9728, 223, 1097, 3461, 6451, 6320, 3015, 1675, 851, 8101, 4370, 415, 9459, 6436, 7192, 6819, 8542, 3275, 4634, 4499, 9196, 5946, 9736, 7850, 4477, 9378, 7058, 8884, 9637, 7434, 7075, 9458, 7530, 1031, 4877, 7044, 3518, 1582, 5880, 2439, 4660, 3250, 3037, 2774, 6723, 4637, 1812, 6237, 8368, 2790, 3850, 6651, 8673, 2288, 7749, 5456, 5985, 2491, 2874, 8025, 2804, 5586, 6547, 2336, 2224, 6135, 7969, 7895, 8589, 9608, 987, 5608, 2487, 8221, 824, 5686, 221, 5215, 7513, 2843, 8524, 2027, 6590, 8550, 4575, 6777, 8093, 6233, 3817, 5650, 7346, 510, 6875, 4242, 4750, 3975, 347, 7204, 7543, 446, 2754, 5006, 9124, 1118, 4188, 8132, 4101, 7894, 9980, 9010, 6730, 4005, 3204, 3774, 2841, 2974, 7996, 9836, 4746, 2047, 1169, 8027, 8210, 4814, 6874, 3906, 123, 3586, 7970, 2580, 7825, 7624, 7404, 7717, 6665, 8192, 6550, 6699, 600, 9120, 3697, 1535, 7988, 7440, 5351, 2018, 4350, 8985, 3259, 4603, 6628, 479, 3840, 2209, 4298, 7904, 773, 1471, 1393, 5140, 5163, 6327, 8023, 2046, 8431, 6645, 7076, 2501, 7524, 2363, 5791, 8278, 9396, 9925, 7199, 5073, 2708, 8802, 6767, 178, 6884, 8896, 3092, 8508, 3611, 1228, 4548, 9108, 5159, 5429, 7083, 5300, 6014, 2575, 4878, 4297, 9, 1517, 3005, 7954, 1732, 4659, 9334, 4113, 4025, 2122, 3325, 5291, 7376, 8610, 51, 9370, 5603, 5258, 7298, 7255, 4525, 4093, 8434, 4055, 2855, 4998, 1131, 9824, 2096, 8573, 473, 8451, 2036, 9158, 18, 1717, 1693, 7810, 421, 9085, 8554, 8401, 6670, 1316, 4771, 8359, 5699, 2795, 9380, 8443, 2518, 410, 7504, 8576, 9147, 4120, 5559, 2919, 4471, 3409, 1595, 1203, 5485, 2345, 9192, 6911, 6090, 4783, 4454, 8115, 3890, 6045, 3209, 8391, 3810, 7926, 7077, 9683, 4730, 6133, 1797, 7175, 9923, 4506, 7090, 6365, 9001, 2749, 4210, 602, 2115, 6017, 9538, 2054, 2118, 4360, 522, 1371, 7473, 975, 9135, 5309, 2165, 4414, 1369, 2132, 440, 9358, 9896, 2241, 447, 2625, 9599, 7011, 1552, 1770, 3898, 1779, 1418, 3412, 4809, 3176, 3822, 4711, 8142, 2240, 3153, 3389, 5637, 4866, 5400, 3844, 6181, 9096, 3516, 7041, 6193, 8634, 1043, 5425, 6052, 9588, 102, 7421, 2648, 3945, 4207, 8865, 1967, 4867, 4434, 4817, 6677, 9593, 157, 1334, 9943, 7628, 5526, 8927, 6033, 1909, 1134, 8530, 2715, 5132, 3677, 6294, 2767, 7631, 7640, 1955, 3938, 8831, 2386, 9217, 3248, 3393, 5101, 2735, 5443, 8162, 8059, 5147, 2395, 7437, 3910, 6983, 6247, 3720, 2042, 6281, 8299, 4271, 8869, 6903, 1392, 9517, 2463, 8761, 4602, 2880, 671, 8197, 4740, 5161, 6015, 6778, 375, 3658, 2793, 5916, 5769, 933, 5639, 8055, 4098, 7260, 7361, 9506, 93, 4554, 8658, 5561, 2969, 9760, 1588, 1827, 372, 9700, 3154, 4926, 7903, 6204, 1171, 7270, 7216, 4528, 4163, 5402, 3606, 8427, 715, 6530, 7788, 9793, 8531, 2468, 3217, 1584, 7445, 5540, 4234, 6387, 275, 5977, 9548, 4340, 925, 2478, 3319, 3064, 7293, 1483, 7719, 8866, 4612, 8995, 2235, 8953, 5748, 9659, 8407, 1640, 6754, 1193, 4734, 5535, 9585, 3904, 2702, 4091, 577, 3485, 1901, 8856, 2564, 3429, 3472, 7040, 3322, 4884, 6137, 2257, 9245, 2441, 5442, 5248, 9995, 6786, 4376, 1789, 2594, 4626, 6478, 1026, 7435, 4000, 3458, 1087, 6136, 5666, 5543, 4872, 6202, 4561, 8943, 3507, 8755, 1011, 6003, 5029, 9300, 7657, 855, 886, 9401, 4937, 5611 ], [ 1962, 3454, 392, 7143, 1663, 2693, 3030, 6169, 4199, 119, 6703, 5923, 1532, 7776, 7844, 3956, 1623, 5493, 7286, 2145, 9826, 6115, 8782, 8428, 1866, 9632, 4679, 3678, 8148, 9990, 6708, 1046, 7394, 2268, 67, 4786, 1787, 4681, 5328, 2651, 7338, 7584, 3452, 3165, 3695, 6130, 5239, 5167, 6258, 8494, 2092, 2413, 7168, 3831, 2286, 9914, 2170, 7740, 8118, 8262, 940, 9080, 5898, 6319, 1150, 4213, 1540, 585, 5064, 7018, 6082, 9703, 2231, 8863, 9038, 652, 7037, 3680, 5389, 8201, 2084, 2561, 6074, 9823, 1669, 1998, 2378, 219, 7, 2438, 7332, 8463, 2359, 849, 4995, 8585, 5967, 6057, 7405, 1551, 6183, 5401, 5157, 4263, 6567, 1741, 7062, 2105, 3296, 1484, 3206, 5587, 7350, 1557, 8612, 4577, 7220, 6891, 4046, 1497, 6379, 8111, 8843, 4147, 6389, 6905, 4433, 105, 2284, 7637, 2828, 1006, 7001, 7454, 6877, 4623, 8663, 2282, 1266, 36, 9756, 7625, 9165, 9323, 6116, 3152, 5180, 1174, 4007, 8067, 4247, 7242, 9442, 8655, 3845, 4507, 7696, 4910, 8640, 4874, 5486, 7152, 3215, 1548, 7583, 9005, 5, 4689, 9462, 6866, 9581, 8911, 71, 8007, 1465, 1679, 4382, 6712, 8739, 146, 9154, 736, 4582, 2029, 5612, 3879, 7145, 4721, 962, 9252, 7830, 5413, 7151, 8871, 9799, 8685, 3104, 784, 4221, 4589, 6836, 9933, 5214, 1792, 7302, 4053, 173, 1188, 3716, 452, 1399, 4277, 7164, 2226, 1141, 8679, 9201, 4544, 9924, 6557, 6413, 3114, 3489, 5217, 4503, 3808, 9837, 6394, 6880, 5440, 8235, 5513, 8879, 9063, 9368, 3964, 5883, 8886, 9505, 6860, 618, 2130, 6034, 8931, 8731, 1456, 5058, 7101, 1910, 4893, 2696, 4593, 6359, 6326, 8982, 9671, 8825, 7772, 7307, 9819, 35, 7300, 5966, 2508, 1960, 3103, 8978, 4204, 7120, 6637, 6323, 9048, 5706, 6157, 6284, 5452, 4084, 5534, 4180, 727, 5633, 9347, 6568, 8889, 1937, 3608, 6895, 8402, 8758, 8781, 104, 4426, 2136, 5869, 3415, 7354, 6261, 7554, 8230, 6475, 2003, 6982, 6615, 5172, 779, 2426, 3942, 5124, 1088, 2141, 1865, 7115, 1221, 9956, 6655, 6472, 9515, 7865, 7528, 6371, 5562, 3341, 5053, 2389, 3043, 5836, 1247, 4056, 5859, 3192, 4219, 7324, 5030, 4478, 1231, 2873, 7380, 1321, 8318, 9986, 2499, 6128, 8078, 4579, 3806, 2870, 552, 599, 8449, 640, 8549, 6914, 7436, 7024, 3269, 299, 8392, 8676, 4194, 7518, 3734, 3575, 872, 1642, 5775, 7094, 8490, 4240, 3714, 7117, 5571, 1855, 8329, 8270, 2405, 9682, 5894, 8625, 1070, 6843, 4671, 3012, 5404, 9426, 1226, 575, 1892, 5153, 7728, 9535, 79, 6565, 780, 3151, 9639, 8128, 7093, 6831, 4717, 4347, 1357, 8363, 5762, 4584, 215, 6464, 7479, 222, 5225, 6400, 2142, 6179, 6906, 5679, 539, 7071, 3624, 3039, 4886, 3219, 2295, 2153, 2608, 2080, 3144, 8974, 9544, 560, 4588, 7237, 1307, 9134, 688, 137, 7824, 3841, 1988, 8639, 266, 5047, 8875, 1971, 4452, 2333, 5372, 591, 9712, 7654, 6549, 6404, 5483, 5477, 1806, 5324, 6337, 1468, 8282, 4812, 1028, 5780, 61, 2197, 519, 2565, 7026, 655, 5807, 5532, 9200, 3460, 1804, 6023, 5506, 9151, 888, 2666, 427, 5628, 7849, 5822, 1050, 2265, 177, 541, 818, 3759, 848, 4896, 9086, 9571, 7215, 3118, 3918, 7998, 5647, 4668, 2675, 2739, 2548, 5312, 2968, 4061, 6146, 750, 9688, 3577, 7789, 9359, 5909, 9623, 2053, 5993, 6943, 609, 7200, 761, 2377, 2955, 1333, 4566, 6985, 9587, 5196, 1698, 5906, 2450, 709, 8844, 2160, 7461, 3366, 1876, 889, 5165, 4653, 4738, 7598, 3682, 4380, 1326, 7198, 8213, 5982, 7472, 9546, 296, 1081, 2809, 5409, 7039, 6642, 6515, 2771, 1824, 6611, 7846, 4130, 5731, 7211, 2146, 4449, 971, 5974, 5504, 2929, 8821, 895, 9753, 1747, 3340, 1406, 8144, 1733, 9191, 3616, 6450, 912, 7595, 6288, 3145, 1886, 2275, 1229, 5509, 672, 6594, 8748, 457, 5011, 4012, 7642, 3310, 5169, 5494, 3032, 3271, 2779, 7398, 7291, 1259, 4975, 7765, 6974, 1189, 8814, 2152, 1702, 6239, 1015, 6316, 4245, 2005, 2868, 8728, 4876, 7447, 4239, 109, 2299, 3814, 3589, 5835, 5984, 2447, 2009, 8414, 9271, 7181, 1126, 6050, 8620, 9601, 7596, 8862, 3444, 8307, 361, 4400, 4960, 7750, 6375, 8206, 3365, 3109, 1615, 1346, 4987, 812, 593, 6595, 9605, 2971, 497, 5963, 3304, 3338, 9451, 2212, 7359, 2000, 1921, 8970, 8100, 8563, 3550, 6564, 3711, 4984, 358, 8631, 363, 7665, 5154, 6720, 7540, 5487, 9852, 1062, 615, 4673, 3607, 1157, 6588, 8399, 5806, 4741, 6580, 5499, 5228, 2392, 4183, 8261, 9268, 2593, 776, 7179, 9286, 5524, 166, 6659, 7814, 2796, 4372, 1987, 7957, 5296, 8396, 6945, 7771, 3505, 3564, 5648, 8900, 8386, 1378, 8795, 4468, 8381, 8035, 8008, 2797, 7909, 1206, 8085, 9273, 3789, 7784, 9211, 7910, 6909, 181, 5279, 5460, 7373, 269, 1580, 6585, 2339, 2090, 2690, 3459, 3292, 9732, 9749, 976, 4700, 9105, 2270, 7652, 8898, 6121, 516, 7535, 6533, 605, 4990, 3622, 1374, 8582, 8087, 1331, 8445, 4719, 924, 8178, 9284, 1836, 1845, 9145, 3613, 3174, 953, 7616, 2133, 7806, 7911, 4421, 9027, 7935, 7264, 3240, 5661, 7484, 7662, 7276, 9094, 3283, 7418, 6654, 9062, 1990, 4992, 3387, 5620, 3036, 1388, 7731, 5954, 8793, 8783, 39, 6252, 1622, 4493, 3067, 7669, 6583, 1583, 566, 8657, 1513, 8902, 990, 6641, 474, 2578, 5721, 8706, 9003, 5703, 6678, 9772, 5618, 5238, 6845, 2520, 5349, 1897, 697, 2006, 3233, 4827, 9714, 9388, 865, 7963, 5231, 7966, 6004, 8922, 4123, 6215, 8955, 6147, 9015, 5901, 502, 5342, 9194, 416, 2989, 8154, 3593, 5275, 6496, 5246, 8211, 8437, 3758, 2228, 3684, 9023, 1643, 8729, 2875, 9099, 8940, 2001, 9595, 5318, 5293, 1591, 3925, 4557, 854, 5244, 3159, 9578, 3836, 2330, 3243, 294, 6314, 1123, 4316, 2383, 3256, 610, 878, 4678, 4488, 3477, 4614, 9363, 8635, 3782, 4897, 9702, 4066, 1720, 8425, 3790, 4337, 2686, 5110, 2853, 2742, 9255, 1850, 8632, 7424, 5548, 7949, 2733, 1985, 7807, 3300, 1782, 5564, 8125, 9833, 7759, 1885, 90, 1239, 5361, 4175, 5212, 7305, 9957, 9670, 2891, 9471, 9648, 1440, 8575, 3821, 2560, 8405, 5317, 9329, 366, 2497, 2944, 624, 5240, 4578, 1671, 1939, 1029, 1700, 4889, 4630, 1124, 8043, 6997, 6528, 1607, 6601, 993, 5160, 3907, 3397, 7178, 3867, 465, 7924, 1941, 236, 1853, 7569, 9532, 2149, 581, 7747, 4124, 6212, 2573, 2886, 7069, 3178, 5781, 3345, 4042, 3486, 8380, 866, 6892, 6529, 149, 9805, 7320, 8775, 8686, 4576, 3142, 1626, 5377, 4045, 2280, 8080, 4667, 4674, 6321, 3558, 3386, 807, 5758, 8654, 7930, 5222, 7829, 3753, 1414, 3952, 6894, 8815, 4664, 9647, 6271, 4027, 950, 5473, 8541, 9095, 3295, 9267, 8928, 9552, 7451, 6931, 1462, 1264, 1129, 77, 3370, 2983, 9888, 7572, 8456, 7288, 3796, 5036, 1928, 8283, 9114, 2471, 5870, 3293, 4541, 2759, 3969, 3317, 9565, 3132, 9287, 6027, 8058, 6934, 8019, 7561, 6467, 1914, 8442, 3705, 3496, 9123, 5591, 7893, 5028, 6334, 6587, 3392, 8846, 7449, 4701, 5315, 7555, 2945, 1826, 9418, 6737, 7851, 8545, 9942, 5962, 5871, 8108, 5920, 7153, 7952, 3671, 4963, 8259, 1878, 2089, 1332, 4465, 9863, 8544, 3838, 8119, 3382, 3478, 6586, 905, 4846, 1445, 6868, 82, 9210, 3531, 134, 8923, 141, 2818, 194, 5207, 489, 6262, 2150, 2541, 9788, 5245, 5961, 4313, 4967, 4482, 567, 4087, 422, 6226, 2409, 471, 7401, 120, 3284, 3666, 2636, 9864, 240, 1106, 4670, 262, 5221, 412, 5841, 5105, 1218, 2639, 1973, 8496, 923, 4362, 1600, 4546, 5975, 8264, 3026, 4695, 7997, 7818, 7589, 5584, 7205, 7048, 8583, 2705, 6195, 6839, 7348, 3599, 8822, 9261, 4706, 9635, 2986, 2522, 5846, 1055, 6815, 3843, 270, 8559, 9193, 3980, 348, 6805, 2634, 8909, 274, 6671, 7453, 7798, 4834, 5209, 1919, 1881, 8446, 3690, 8820, 4368, 3857, 9931, 2655, 9860, 2264, 2060, 6679, 9364, 9140, 5609, 7028, 713, 1022, 4521, 356, 9173, 6479, 636, 4473, 733, 1949, 9646, 9566, 8423, 3640, 2765, 2021, 8293, 9787, 3380, 6705, 6579, 3112, 3967, 1703, 426, 2597, 7971, 4150, 3847, 7496, 8114, 3654, 6491, 5782, 9077, 1034, 5369, 6578, 6168, 9961, 317, 1268, 6416, 8186, 3629, 1724, 4111, 4651, 9440, 8824, 6653, 4320, 5343, 6160, 3937, 9302, 2846, 9188, 5892, 3693, 5068, 9441, 576, 2427, 686, 8170, 4030, 4359, 6682, 6917, 7618, 5741, 4022, 4458, 3099, 4002, 4707, 4031, 7720, 3328, 6278, 3280, 7425, 2517, 1877, 7096, 7570, 9435, 9568, 1207, 4459, 3566, 3314, 5189, 7196, 6988, 5795, 4392, 6526, 7347, 9046, 4752, 3320, 8868, 6975, 7992, 6691, 6706, 8422, 5071, 8466, 9008, 5366, 9394, 3703, 4485, 8951, 1683, 7520, 7119, 7157, 8999, 1530, 8237, 1426, 1561, 8539, 7088, 5905, 3336, 8751, 8498, 5711, 2850, 7169, 3826, 8208, 8366, 4339, 1527, 4755, 5797, 7419, 3047, 2486, 96, 1452, 5264, 6510, 4994, 114, 5326, 6305, 9687, 7795, 8997, 1991, 7751, 9195, 920, 4138, 6624, 2530, 2126, 7502, 9858, 7804, 322, 6100, 6063, 5399, 5141, 9316, 383, 951, 6486, 220, 7564, 1060, 1010, 5606, 7147, 9842, 6749, 9518, 6019, 6289, 1434, 3706, 3889, 3464, 5997, 7709, 7438, 2178, 1413, 5970, 4105, 9915, 2107, 9088, 9425, 5918, 7509, 9411, 2644, 1305, 8234, 4083, 4993, 724, 5131, 1729, 7214, 9631, 7746, 2093, 9696, 439, 3276, 3202, 3249, 7407, 755, 7733, 4902, 8339, 1800, 239, 2937, 5786, 8485, 1819, 5191, 2713, 1100, 6255, 5558, 1021, 1571, 2452, 4035, 6927, 9619, 9979, 4217, 5375, 1774, 1366, 4237, 8578, 5685, 6607, 5094, 6390, 2834, 4729, 400, 2171, 7958, 7651, 1238, 5604, 9393, 6132, 6686, 9692, 4074, 3084, 2676, 8165, 1130, 9419, 9616, 3224, 3169, 6573, 1645, 7707, 6378, 5422, 8669, 1953, 9040, 1576, 2605, 1116, 8687, 9213, 3916, 2881, 9865, 9054, 7353, 1058, 1265, 2752, 6056, 7374, 6418, 5638, 6283, 9092, 8738, 4268, 5950, 7565, 8343, 4280, 1370, 8136, 7131, 1384, 1630, 7377, 4166, 5130, 2139, 6173, 542, 3335, 4807, 503, 700, 2028, 5643, 1500, 7163, 6704, 5770, 6559, 914, 4334, 6991, 6243, 5054, 8204, 7942, 6944, 856, 9844, 8977, 5848, 7931, 654, 8662, 9260, 9301, 1018, 2385, 4708, 1959, 1195, 4081, 4853, 6096, 5290, 5849, 1235, 5723, 5531, 9127, 8717, 4821, 7552, 4675, 153, 6251, 9160, 3732, 5060, 1911, 9078, 2595, 4636, 1115, 6286, 4494, 3333, 6231, 2448, 2098, 2922, 3193, 2862, 2255, 6822, 5833, 3509, 3855, 5502, 2342, 2347, 5168, 5575, 8375, 9972, 3738, 4176, 1442, 5866, 5615, 9017, 490, 9574, 9292, 8158, 3995, 8215, 6898, 2422, 9832, 3227, 6663, 2298, 7832, 4250, 2193, 5973, 7262, 9397, 241, 4248, 3398, 9111, 50, 1459, 4836, 2787, 8483, 8134, 2502, 6512, 4201, 996, 6742, 963, 9817, 8805, 7448, 3399, 6828, 2461, 7485, 8509, 1499, 1098, 7429, 2278, 9175, 1495, 4078, 3352, 8050, 9783, 2424, 4305, 5021, 6758, 9504, 4107, 4104, 1848, 7801, 9149, 8190, 1151, 3212, 3450, 6928, 2760, 7841, 7283, 4868, 9556, 882, 6154, 6960, 132, 3710, 1608, 6324, 8590, 619, 1198, 746, 2216, 695, 7390, 6963, 9390, 2206, 6248, 1047, 2750, 7514, 898, 7961, 3044, 6025, 5617, 10, 6203, 9469, 9785, 6992, 1511, 31, 3391, 741, 5200, 9346, 2379, 7976, 513, 4940, 534, 6623, 6029, 8705, 6783, 518, 9840, 4650, 6725, 3524, 3077, 9121, 7821, 6196, 9130, 435, 4794, 606, 7708, 9825, 3244, 3685, 6764, 7661, 9487, 3334, 9774, 9935, 1654, 3565, 627, 4257, 9434, 8279, 4571, 9778, 4073, 2137, 233, 9061, 9955, 2507, 7635, 9144, 8272, 9970, 1823, 9325, 4723, 8103, 7793, 9305, 4156, 5875, 2890, 5211, 2205, 9083, 2134, 7639, 9613, 4564, 6840, 1713, 8996, 3570, 3833, 9153, 4125, 5224, 2256, 6221, 126, 4698, 2253, 2844, 8285, 936, 1515 ], [ 8058, 307, 1356, 6105, 3217, 459, 2701, 794, 4957, 9713, 3016, 803, 4830, 1599, 2802, 5836, 9443, 4788, 2200, 6087, 4683, 8500, 1466, 9070, 4475, 6814, 6722, 1067, 8226, 6359, 8956, 1963, 1748, 4174, 2004, 3969, 2665, 3256, 9511, 4405, 6632, 3907, 54, 4097, 9846, 6883, 9597, 5034, 5761, 6792, 312, 3751, 5715, 3793, 6750, 3696, 8595, 4136, 6205, 3360, 2971, 234, 7350, 4817, 4686, 8432, 763, 1638, 3964, 4714, 4811, 5962, 5064, 4108, 6538, 6374, 8744, 9569, 2984, 7472, 2637, 3769, 787, 2874, 845, 9965, 4331, 8273, 996, 362, 6662, 3523, 2805, 2716, 3355, 5286, 9108, 1443, 631, 8838, 715, 7186, 495, 1769, 257, 8349, 2040, 7559, 9475, 5075, 6681, 7822, 8461, 8088, 1271, 1117, 7724, 1566, 9008, 7598, 3037, 9119, 7032, 5679, 3974, 1416, 5424, 7174, 8509, 8610, 7329, 2579, 6361, 1537, 2850, 8147, 3357, 4586, 1026, 3229, 1222, 3804, 7004, 9328, 942, 4152, 7499, 2681, 8482, 7719, 1256, 581, 667, 3809, 1699, 7539, 9776, 7797, 9810, 4963, 3646, 9420, 1324, 6885, 9920, 5420, 10, 3371, 39, 4035, 6362, 4210, 2969, 5790, 1277, 6098, 4848, 4327, 6852, 9945, 9421, 2581, 8880, 2902, 4036, 3150, 7262, 4634, 6409, 6199, 6347, 2474, 4857, 1635, 7428, 4915, 2833, 8604, 5564, 5136, 2680, 8080, 7929, 1396, 1793, 7939, 6138, 5553, 1897, 558, 2062, 8310, 4844, 2180, 9201, 9643, 4428, 5163, 9767, 8362, 3164, 3017, 9723, 9734, 11, 2688, 4470, 5333, 3171, 9595, 2760, 3418, 1611, 2602, 2110, 2735, 3612, 3935, 6123, 8589, 4293, 1901, 231, 1713, 9281, 2162, 2052, 9729, 1329, 497, 6284, 8666, 1269, 2393, 5795, 7392, 8741, 7540, 1927, 8927, 2528, 4805, 7899, 2146, 5126, 469, 9686, 7854, 4245, 8619, 817, 902, 3214, 6660, 4835, 4066, 7202, 4994, 560, 3124, 720, 4149, 6774, 3021, 2622, 3189, 3092, 7247, 187, 2832, 6259, 9334, 9417, 4302, 1578, 6991, 7319, 1444, 9516, 8788, 9109, 8625, 2302, 1803, 3469, 5249, 3889, 6064, 480, 1496, 4707, 7088, 1227, 3101, 3912, 230, 2438, 2864, 907, 5309, 7834, 5808, 446, 1920, 3664, 3797, 7270, 6857, 7422, 6345, 7952, 250, 616, 806, 3201, 3958, 5783, 4426, 5534, 8127, 8637, 9197, 2300, 546, 3661, 5022, 1801, 5443, 4996, 1298, 4175, 1936, 9101, 5882, 2001, 1206, 816, 5311, 5934, 23, 6439, 7103, 1077, 8993, 2772, 3881, 5664, 6252, 3630, 1830, 827, 1030, 5214, 2260, 1891, 1093, 5610, 5130, 949, 9123, 7321, 5140, 3210, 3982, 1245, 3227, 1313, 1100, 1123, 2682, 5009, 3176, 2882, 9728, 7047, 1892, 6476, 1264, 1328, 3358, 5351, 8038, 1658, 41, 5560, 9227, 8728, 2392, 4815, 1296, 3436, 2932, 458, 9625, 5084, 1364, 9424, 9505, 509, 2972, 4486, 2630, 8639, 8834, 2119, 7041, 6016, 686, 1505, 3715, 6415, 8257, 6759, 1403, 2006, 3547, 2287, 8861, 5619, 6281, 9484, 1757, 5764, 1952, 2011, 3582, 4352, 3541, 4476, 7941, 1580, 6383, 4554, 457, 1139, 8598, 5810, 5952, 6348, 4862, 8695, 829, 5262, 2118, 9125, 2670, 4085, 5096, 9362, 6030, 5864, 118, 9623, 1806, 4060, 3679, 7212, 8299, 5937, 5830, 4808, 7747, 3685, 6077, 8449, 5259, 8713, 3379, 3170, 4059, 8516, 5732, 9385, 4907, 8948, 1524, 5319, 241, 4076, 7025, 4358, 7469, 3279, 1247, 5342, 7628, 156, 3044, 4945, 2240, 7154, 768, 2642, 9445, 8228, 1068, 7080, 6692, 1348, 876, 3930, 2588, 6019, 5050, 7145, 5225, 9517, 916, 3271, 6577, 3635, 2564, 5362, 2243, 1365, 905, 3027, 975, 9254, 7865, 30, 8985, 8933, 8981, 6036, 656, 1379, 2439, 9005, 4451, 5083, 1944, 1687, 8844, 93, 5357, 2919, 2173, 5373, 5867, 5535, 880, 5648, 8099, 2208, 9345, 8798, 396, 3888, 9078, 2996, 5037, 8852, 5065, 5704, 6175, 76, 7630, 7222, 9868, 3988, 4129, 2824, 3168, 4147, 9478, 9031, 7287, 4013, 6523, 6086, 6236, 8419, 8138, 7399, 2236, 8478, 8626, 8059, 7709, 6843, 4258, 9122, 123, 2986, 6484, 2478, 4761, 6929, 2695, 6083, 5806, 103, 8305, 3656, 1203, 9762, 6725, 3362, 1362, 8633, 4784, 8519, 9841, 6690, 1762, 4800, 3342, 363, 31, 9009, 9584, 8881, 1659, 6986, 4072, 664, 2599, 4180, 1102, 8212, 4000, 1868, 4722, 6429, 2540, 6406, 5798, 4599, 3851, 5000, 5215, 6268, 9215, 6513, 2565, 4616, 6396, 718, 1865, 1242, 436, 3135, 3276, 3207, 7900, 485, 3607, 5221, 3943, 2308, 6021, 2190, 9967, 3494, 9858, 3835, 6487, 7226, 7471, 5318, 8751, 1132, 7646, 4113, 1613, 8450, 9761, 8356, 9544, 5041, 7781, 4398, 6075, 3221, 3725, 8201, 8674, 4380, 2195, 2150, 7855, 2541, 5387, 5979, 5161, 3401, 2913, 989, 2963, 2574, 9152, 9959, 7097, 1034, 5350, 1772, 8868, 9875, 3296, 5141, 9346, 9540, 2982, 1014, 326, 5639, 2554, 8924, 3952, 1010, 3986, 7947, 7341, 333, 9173, 4699, 7486, 7169, 3874, 962, 9413, 6947, 4317, 532, 2089, 8368, 7902, 4484, 5139, 7120, 3287, 1877, 5996, 7867, 4949, 3130, 7616, 4058, 4272, 3968, 723, 966, 5355, 7216, 5058, 559, 3264, 5970, 3081, 4054, 2022, 3292, 4121, 4523, 9797, 7909, 8959, 173, 2144, 3274, 8569, 4543, 8071, 3553, 9649, 9525, 6143, 9614, 4164, 752, 4522, 585, 8294, 5833, 384, 6443, 1765, 3615, 2612, 6641, 5330, 3441, 5983, 2441, 4337, 5566, 2175, 5624, 3384, 6386, 5431, 2513, 256, 5204, 3546, 6392, 1854, 3682, 9522, 3551, 7181, 7249, 4999, 4734, 3691, 8787, 5395, 5929, 3566, 8952, 7161, 4521, 8818, 262, 2727, 2728, 4071, 1914, 8514, 9633, 9803, 6878, 8719, 705, 2167, 9852, 5012, 8468, 7551, 8796, 8636, 4304, 8835, 7020, 0, 1725, 8801, 632, 6247, 1469, 2340, 2077, 707, 5596, 9265, 1050, 8213, 9083, 6301, 9037, 3953, 781, 8424, 5831, 2265, 5327, 4675, 3452, 1746, 4826, 7561, 5919, 5969, 1126, 3913, 3849, 6945, 26, 5441, 6230, 3306, 4984, 3446, 423, 759, 2988, 6897, 4524, 590, 3203, 3510, 1703, 8040, 3419, 2324, 6789, 6819, 4156, 6145, 7669, 2761, 7731, 116, 4906, 4792, 2145, 160, 8223, 808, 8897, 4962, 5205, 3423, 4723, 3903, 8977, 162, 3908, 1664, 165, 3598, 5855, 3736, 478, 7132, 5159, 8082, 628, 2318, 9900, 2131, 5942, 5423, 8684, 1741, 6564, 717, 6630, 1073, 8237, 5997, 1511, 9542, 9074, 7879, 8321, 3350, 2155, 7775, 3290, 8247, 9137, 3764, 8643, 1986, 2319, 697, 1521, 1446, 8936, 5586, 2741, 1373, 4106, 5834, 7982, 4740, 2847, 4549, 3812, 4737, 1161, 770, 3816, 6919, 5748, 6987, 314, 4933, 2007, 3104, 5021, 7837, 5666, 3099, 9885, 9806, 2188, 3765, 4544, 4774, 8748, 8151, 8255, 3398, 2352, 862, 7067, 4105, 1552, 2114, 5772, 1929, 9405, 3428, 9342, 5300, 7649, 1858, 1318, 8107, 927, 712, 8872, 9350, 3191, 5972, 5528, 8465, 8632, 8389, 6278, 188, 3336, 9285, 700, 8753, 9236, 4339, 7765, 3942, 2949, 6518, 1736, 2729, 8235, 820, 921, 7368, 5182, 3519, 3592, 7031, 5832, 4177, 7538, 2390, 4368, 2093, 3146, 101, 7417, 2809, 1040, 499, 6994, 4194, 8641, 1817, 9224, 2928, 144, 7774, 5998, 6225, 4015, 9950, 9832, 9396, 576, 3532, 2647, 5501, 7663, 8951, 4062, 6954, 9684, 5957, 5703, 2453, 104, 649, 4503, 2248, 5101, 6820, 1996, 340, 2595, 7255, 5840, 9479, 2557, 6465, 6726, 5681, 6124, 5739, 2404, 329, 8214, 810, 1723, 8843, 6339, 7936, 3787, 9792, 3417, 8412, 5538, 917, 5445, 7639, 244, 9808, 1591, 4899, 8850, 8248, 9622, 4420, 6307, 6081, 7934, 7864, 501, 2482, 1767, 1657, 1926, 1982, 6174, 8706, 3918, 5113, 7442, 6729, 3198, 9058, 6558, 7464, 2132, 7655, 857, 6500, 7227, 1400, 8171, 9782, 7064, 5086, 8190, 2014, 2142, 7915, 1716, 5440, 3254, 7381, 2577, 1568, 1190, 8359, 6900, 6876, 9891, 3821, 5081, 8733, 6555, 4465, 6924, 8687, 4100, 785, 9613, 2552, 8813, 1862, 318, 1069, 2281, 6043, 263, 6981, 9268, 8794, 4091, 5264, 2455, 1201, 8816, 4636, 9038, 2922, 8904, 4754, 7116, 6576, 1284, 5763, 2954, 3709, 3095, 1752, 7621, 1684, 6696, 1668, 3794, 2273, 7068, 6232, 6793, 9902, 3482, 3735, 4909, 7305, 5490, 8421, 4491, 3199, 8110, 3627, 6495, 4558, 393, 9754, 3967, 9170, 9634, 3282, 5852, 2016, 6136, 941, 6556, 4736, 3688, 7473, 6493, 5865, 8854, 6478, 3470, 6428, 9209, 2100, 5368, 4900, 4103, 2548, 2135, 1950, 613, 1881, 6102, 9124, 1745, 9457, 5210, 967, 2639, 8673, 6941, 6656, 3707, 8856, 9153, 1254, 9017, 7545, 2123, 5462, 8597, 4898, 9567, 9179, 4278, 8363, 5168, 8548, 7264, 2870, 2125, 4078, 405, 202, 8000, 3196, 473, 6400, 7389, 2197, 3626, 1642, 7798, 7221, 5331, 8317, 2228, 4991, 4625, 4687, 1295, 6967, 524, 9968, 5280, 6393, 6966, 7011, 2241, 6922, 7968, 1200, 981, 7407, 4341, 6096, 1719, 3845, 6062, 881, 9464, 2686, 1456, 4681, 6661, 2168, 6982, 2421, 5407, 6901, 1426, 3291, 3011, 3932, 9132, 4082, 8670, 5403, 2859, 3846, 9185, 1019, 7507, 6233, 8491, 9300, 5209, 1938, 8493, 7330, 3625, 6809, 4924, 1706, 5446, 4766, 3344, 9004, 5123, 9127, 2812, 2706, 6332, 89, 3363, 9645, 8266, 635, 1471, 5287, 9024, 5119, 5238, 5584, 248, 2013, 1515, 8851, 7697, 1846, 9054, 6968, 8570, 6255, 8035, 3636, 937, 5909, 3127, 516, 1163, 1828, 5838, 1285, 5513, 1494, 8735, 7720, 8656, 5923, 9740, 4717, 3772, 3445, 8968, 7963, 1345, 3858, 1758, 2754, 8039, 6645, 2217, 3237, 3981, 1027, 3655, 692, 2103, 1354, 8111, 8738, 4308, 9752, 891, 7501, 1083, 8400, 2940, 2238, 5155, 7738, 6838, 9061, 279, 5994, 7662, 3727, 7791, 2650, 1784, 7820, 7147, 7102, 342, 4138, 5054, 311, 5176, 44, 9964, 1326, 6073, 7789, 2780, 3394, 3960, 9228, 5298, 1514, 5147, 1307, 6873, 7040, 6210, 9492, 4207, 2788, 9160, 6115, 1692, 4325, 5931, 4416, 1585, 647, 2718, 5939, 7076, 7157, 8506, 6402, 2152, 4623, 9167, 197, 5510, 1575, 9477, 4434, 9002, 3652, 1848, 9654, 4153, 9028, 5194, 4338, 685, 2431, 6208, 8216, 5849, 2414, 1233, 4710, 8233, 1570, 6253, 5053, 78, 9879, 2585, 9743, 9859, 4563, 9444, 2490, 1930, 6394, 8540, 7682, 9490, 451, 5745, 9071, 6593, 9092, 5172, 5729, 5325, 3642, 1204, 2960, 5216, 8905, 3483, 3062, 119, 5156, 2363, 6410, 6745, 9631, 100, 5875, 3865, 8315, 4775, 7819, 618, 3338, 8176, 2336, 1151, 2446, 7560, 6639, 1347, 492, 3061, 784, 4421, 6608, 4500, 5991, 2836, 3919, 9817, 8378, 1129, 5049, 1622, 1805, 7995, 1071, 7453, 3734, 1756, 8550, 261, 1353, 3219, 64, 5008, 1911, 1743, 9066, 5379, 9872, 5251, 9284, 9459, 468, 6805, 4728, 4252, 4011, 1512, 4366, 505, 1122, 6581, 6006, 323, 5030, 9928, 7173, 9003, 3675, 6877, 4249, 7824, 2744, 7683, 7065, 8906, 2560, 4959, 8902, 1766, 4269, 9578, 2869, 9029, 7521, 4277, 2993, 316, 8726, 4251, 4242, 1595, 28, 903, 6452, 3208, 3302, 2848, 7289, 5369, 3024, 205, 6617, 9724, 3730, 18, 5193, 963, 7944, 2797, 7938, 6063, 3558, 9335, 8790, 8064, 3872, 812, 2769, 1043, 8277, 3003, 6860, 4221, 7772, 6382, 404, 4364, 2258, 6117, 4643, 2104, 711, 378, 5184, 8125, 5465, 743, 5396, 6625, 5060, 5178, 6624, 9403, 2122, 9830, 7491, 9212, 439, 953, 9314, 1472, 4837, 171, 7152, 6370, 4785, 4114, 6216, 1643, 8602, 9667, 7889, 4271, 5827, 3328, 6497, 8537, 3859, 5593, 7725, 7969, 9745, 5533, 5239, 2851, 8192, 7496, 2904, 6499, 7429, 6275, 7075, 9867, 6279, 7325, 7973, 8323, 1138, 1291, 7935, 6659, 6732, 452, 2711, 6364, 7690, 4458, 1412, 7094, 7163, 7806, 6784, 2187, 1405, 4070, 7406, 5504, 7509, 8986, 9239, 4986, 6045, 8807, 1209, 2092, 7594, 1680, 7386, 7533, 5953, 8341, 3041, 3442, 3499, 7165, 4916, 5098, 1671, 3148, 5862, 268, 9112, 2700, 2537, 5069, 646, 5138, 5200, 6865, 9572, 9165, 4047, 9835, 6976, 6157, 6948, 9600, 4497, 7884, 9935, 6356, 8608, 1800, 3528, 5289, 1022, 3634, 6323, 1371, 9115, 1905, 7994, 6831, 5702, 6355, 3805, 7070, 7996, 7295, 7642, 1007, 2520, 3008, 2510, 9894, 3242, 1089, 2831, 7474, 6980, 7482, 43, 1873, 9748, 9394, 7356, 3115, 8439, 7698, 8365, 9668, 9999, 6782, 1215, 1774, 7085, 5328, 7550, 9871, 758, 3504, 9, 3112, 4043, 2931, 2721, 5150, 7584, 660, 1449, 1979, 8022, 4770, 3314, 5723, 834, 3250, 9838, 8269, 8215, 8510, 3631, 3978, 4190, 7749, 1352, 1714, 1351, 1495, 6228, 6971, 2031, 8980, 3603, 7612, 1388, 9611, 3676, 8776, 5040, 9730, 2880, 6095, 9601, 7416, 4151, 6312, 4144, 556, 3916, 1238, 339, 4614, 1211, 7734, 3175, 1189, 5018, 140, 8709, 1355, 2871, 9305, 2204, 189, 2226, 2787, 4204, 5199, 8492, 3471, 2616, 991, 8374, 6387, 5426, 8165, 1998, 8336, 1586, 1186, 7801, 7446, 2578, 1445, 906, 3693, 8425, 6663, 355, 6014, 4759, 6622, 9491, 6740, 4590, 1961, 4473, 9559, 7961, 5464, 1704, 7409, 8328, 6169, 4354, 9240, 5547, 4535, 9532, 6380, 7170, 6906, 3413, 2819, 9607, 8967, 6554, 1811, 3476, 3698, 8264, 8265, 1835, 1973, 8289, 190, 6884, 9466, 2712, 7310, 536, 7870, 1528, 1159, 1350, 2463, 3073, 959, 4843, 2048, 7999, 2793, 3936, 8186, 3645, 2128, 8682, 3922, 3741, 4255, 5068, 7527, 7191, 3781, 721, 2074, 107, 4661, 4968, 6492, 2786, 5590, 2561, 2192, 2657, 3157, 6862, 3731, 6977, 830, 4052, 5192, 3939, 3075, 4520, 4942, 7783, 9596, 1631, 3671, 8887, 3972, 6433, 2486, 1246, 6239, 5807 ], [ 5796, 1025, 8353, 5842, 8142, 9384, 9726, 6501, 5077, 8231, 8582, 2382, 3113, 8497, 3316, 9735, 2470, 7309, 4657, 4876, 1884, 1989, 4618, 9605, 7167, 2314, 7196, 6563, 275, 4917, 3033, 7535, 1391, 8704, 7803, 540, 7570, 3518, 9961, 895, 7046, 2878, 550, 1357, 4301, 535, 8224, 5236, 8073, 4782, 1908, 4884, 398, 3559, 8895, 8250, 526, 6591, 8284, 9035, 4735, 5749, 6915, 1605, 8743, 1249, 4955, 9744, 8513, 5608, 7143, 8581, 8831, 5885, 9128, 5705, 1397, 8876, 9812, 7735, 5656, 2388, 8427, 6776, 1437, 5390, 533, 2672, 4472, 8298, 2484, 933, 7979, 7346, 9399, 3760, 7156, 955, 5094, 8736, 8701, 5662, 5670, 7617, 1690, 1503, 4440, 5340, 3018, 5587, 2234, 5512, 3382, 990, 9042, 1576, 2202, 8068, 3976, 2773, 1229, 5322, 226, 4362, 6781, 152, 1954, 7767, 4989, 2364, 494, 2743, 6229, 6944, 5776, 1487, 1727, 4778, 2739, 5759, 2512, 4648, 2412, 9206, 8768, 7276, 9425, 4829, 3514, 454, 582, 1794, 418, 6280, 3275, 9942, 4568, 3994, 7260, 3129, 4630, 951, 2673, 7957, 3956, 1640, 7959, 4747, 5438, 8486, 2461, 5370, 2989, 3280, 8953, 9815, 4007, 8685, 840, 4798, 1088, 1162, 7804, 5626, 2189, 8291, 3571, 142, 7185, 6997, 2519, 5312, 1205, 4218, 1223, 2662, 9383, 8331, 2322, 1488, 729, 568, 5540, 6551, 2246, 8873, 8708, 9639, 8480, 2877, 7679, 2449, 5663, 2219, 3281, 1646, 6936, 870, 9416, 3166, 5892, 3299, 9266, 2091, 3438, 6475, 5657, 5922, 4095, 4363, 4111, 5762, 3778, 3911, 2454, 1386, 2257, 2648, 2709, 3945, 7573, 9130, 2174, 4315, 3048, 9531, 7275, 1165, 1744, 5088, 8512, 595, 352, 6807, 8836, 5361, 9497, 9598, 9612, 7033, 5104, 5032, 9184, 8164, 9809, 1853, 5090, 8048, 8401, 8140, 1116, 488, 4781, 517, 2383, 5895, 475, 4877, 4367, 7563, 5771, 4922, 2593, 4253, 465, 7830, 8467, 2529, 4455, 1107, 1685, 7592, 5881, 5253, 9727, 3576, 1076, 4055, 3792, 5880, 8454, 9247, 8593, 8268, 2674, 2635, 773, 7633, 8395, 8611, 7600, 4771, 8693, 2218, 7701, 2799, 9818, 1230, 4162, 9848, 159, 9303, 7548, 2566, 2733, 2329, 7369, 4490, 7166, 7587, 9546, 673, 5826, 7331, 6797, 9924, 8234, 5741, 3555, 9065, 6855, 3866, 1079, 5393, 4970, 419, 4943, 4248, 9368, 4645, 6996, 8539, 3294, 4552, 4929, 6960, 258, 6011, 1951, 3860, 6825, 1219, 3491, 212, 331, 6302, 7364, 9901, 1421, 6768, 4214, 8473, 3340, 7452, 8364, 3649, 8882, 8434, 7201, 969, 9380, 1866, 7894, 6298, 6559, 9200, 3613, 4664, 9487, 7061, 7905, 8275, 5374, 9823, 356, 3375, 1731, 4712, 1796, 6324, 4429, 2732, 7207, 2722, 6397, 1169, 3216, 7680, 2950, 7002, 3440, 6446, 5634, 5386, 4967, 5770, 4322, 8355, 7340, 2398, 7466, 5635, 1078, 360, 7495, 8799, 6066, 2467, 8312, 4498, 6244, 3512, 6194, 554, 7351, 7665, 4332, 6069, 6416, 4696, 4160, 2259, 4789, 1, 7845, 8917, 9177, 7042, 35, 4371, 2372, 4985, 9575, 3830, 9632, 8928, 3409, 17, 2885, 3162, 4930, 2938, 1734, 2811, 5494, 5338, 7674, 6425, 2068, 6888, 7745, 2534, 760, 8943, 479, 6311, 7380, 57, 2430, 5701, 5450, 5242, 8702, 1855, 9446, 2277, 9733, 3040, 6930, 9918, 286, 8526, 6074, 397, 1228, 9219, 9513, 4758, 147, 1535, 9931, 2018, 4264, 4665, 5397, 2895, 3151, 4831, 7976, 7726, 8490, 4745, 5803, 4181, 3817, 5573, 5235, 4126, 2691, 1323, 6580, 1322, 1967, 7339, 383, 9155, 1720, 2499, 9676, 1039, 5797, 6635, 9988, 5699, 8648, 5399, 8698, 5968, 2973, 6710, 8749, 3827, 1046, 3143, 8652, 5460, 2165, 4833, 6250, 1154, 2254, 4765, 6503, 1303, 8678, 6779, 9292, 6773, 5959, 826, 740, 5080, 5823, 1294, 7814, 7030, 6223, 3564, 9262, 2886, 7569, 5781, 1383, 8574, 2472, 8617, 2303, 6618, 5661, 7072, 3326, 8178, 2863, 5851, 1845, 5384, 2645, 9553, 7194, 2000, 2066, 8716, 3464, 2731, 6714, 5724, 3132, 6998, 6631, 1520, 6049, 6717, 2944, 1964, 5007, 4065, 4596, 9615, 52, 1888, 6170, 2078, 2071, 9698, 2288, 2325, 8686, 4726, 2661, 7327, 5727, 4562, 6092, 7635, 8848, 5027, 9679, 8535, 8154, 324, 6173, 49, 5335, 2101, 1956, 9925, 6691, 510, 3681, 5006, 7908, 8757, 6832, 8827, 8940, 4769, 1424, 3529, 7876, 8003, 997, 5913, 9147, 9636, 3186, 3833, 65, 5688, 8452, 2995, 3706, 84, 2781, 109, 271, 1733, 2, 3158, 8232, 8919, 3801, 3668, 3875, 9482, 2623, 310, 3007, 3905, 9658, 221, 9454, 124, 8885, 1771, 5910, 9616, 3317, 9319, 5118, 1551, 6742, 7589, 2017, 1382, 5359, 4651, 1694, 3289, 574, 6985, 9780, 8894, 9971, 6304, 4260, 4606, 7525, 3039, 5822, 7283, 216, 5961, 8739, 3032, 4419, 4583, 5599, 5898, 3301, 6162, 971, 2426, 3347, 4479, 7272, 4694, 1137, 4720, 1629, 4244, 3416, 2025, 789, 1131, 6553, 2725, 305, 8357, 7756, 8867, 7436, 3857, 676, 657, 1035, 2415, 7906, 3223, 7524, 9603, 5343, 5198, 9164, 9148, 9647, 7799, 3486, 1823, 6753, 4674, 9722, 3578, 2717, 4074, 2143, 411, 992, 8416, 5597, 6127, 25, 5736, 422, 1722, 1477, 2887, 543, 5706, 8746, 5651, 9785, 8185, 6082, 6626, 7778, 5105, 1820, 588, 2377, 8, 5367, 7841, 4101, 2059, 6334, 9791, 825, 3574, 3660, 6197, 5707, 8256, 343, 6342, 1945, 684, 2755, 4601, 9180, 9099, 3385, 9033, 7660, 2868, 5556, 1636, 4056, 2036, 9882, 8307, 5544, 184, 2086, 629, 9693, 9270, 593, 1791, 7558, 8081, 1799, 5220, 3927, 7294, 3001, 701, 5124, 5816, 3065, 7114, 3444, 940, 7308, 9866, 6248, 9589, 8320, 9400, 8392, 2044, 1002, 1955, 1522, 811, 6349, 3455, 4704, 4086, 5498, 2538, 4246, 2032, 8691, 3477, 5592, 6172, 4703, 3107, 4205, 508, 3356, 6148, 9655, 8820, 867, 7405, 2095, 4402, 1653, 527, 7398, 9264, 2879, 6699, 3181, 166, 5079, 4117, 2262, 8056, 9213, 4489, 1909, 6369, 4145, 7099, 5137, 3527, 5774, 943, 4018, 8822, 4821, 7773, 7892, 2606, 4814, 4834, 5120, 7168, 6473, 9293, 1170, 7241, 2410, 8194, 1251, 1789, 9986, 8503, 1387, 8690, 1337, 2271, 5543, 9873, 7043, 4783, 5541, 4904, 4141, 6791, 4622, 9979, 7286, 5436, 7807, 9737, 8710, 6483, 6640, 5944, 3365, 3640, 96, 1112, 3066, 4685, 4096, 2334, 8006, 5381, 2636, 8534, 4289, 5955, 2857, 965, 8573, 6171, 4496, 6697, 3984, 714, 1572, 9044, 2137, 6218, 5786, 890, 5310, 1778, 5989, 7516, 710, 6780, 3042, 4508, 5887, 7827, 4715, 7762, 1596, 7184, 3616, 7192, 1981, 5793, 7835, 3552, 6584, 2428, 3803, 8115, 1156, 8253, 1867, 4460, 8587, 8005, 886, 2625, 6760, 9274, 5848, 6835, 6905, 4556, 6321, 6254, 833, 9985, 9226, 8645, 6596, 3784, 8929, 1473, 3025, 9700, 4464, 8874, 9338, 4954, 8911, 1048, 7980, 3604, 8930, 3408, 6327, 5888, 2033, 1782, 3002, 9651, 8527, 6046, 3768, 4597, 4417, 6142, 7552, 5777, 7023, 3756, 6104, 7541, 9470, 3938, 3020, 7171, 4757, 5240, 9012, 6762, 4518, 6851, 7274, 3005, 9820, 5568, 4763, 9538, 8487, 8390, 1673, 5598, 9439, 7818, 7028, 9055, 5405, 9211, 5261, 1810, 8984, 6599, 3786, 7826, 8883, 4256, 6567, 4200, 3997, 2803, 6044, 7579, 1103, 1457, 2849, 8530, 9205, 8941, 2139, 898, 6748, 6701, 1827, 8083, 2597, 5023, 3856, 357, 8908, 4161, 4847, 5170, 5476, 1286, 1398, 5467, 8520, 3983, 8337, 2456, 9709, 7634, 5861, 2550, 7860, 8079, 6372, 8583, 4711, 1912, 2418, 4660, 9781, 8555, 4446, 2294, 2862, 6300, 1834, 661, 1325, 1127, 6771, 7048, 5601, 8627, 5509, 4213, 9149, 8091, 6001, 722, 5217, 9275, 6263, 2600, 5572, 2356, 9587, 4300, 4049, 9299, 6141, 2230, 5754, 4772, 604, 8459, 9401, 7073, 9930, 3581, 4981, 2465, 8811, 2296, 6130, 4870, 1119, 4746, 9486, 2943, 4028, 1263, 680, 5164, 8994, 6119, 9467, 8915, 4867, 5185, 3898, 8429, 6574, 5493, 4448, 4908, 9210, 2782, 4803, 6816, 2345, 2213, 5574, 5614, 6965, 180, 3677, 4119, 3406, 950, 1562, 9747, 8259, 7736, 2386, 3006, 6109, 476, 7352, 4655, 7483, 7155, 8391, 3034, 6952, 5675, 1214, 766, 7859, 7877, 4130, 6995, 8200, 178, 2605, 9799, 5691, 9664, 9312, 9750, 7273, 5644, 2964, 9480, 922, 5028, 8577, 8775, 708, 5607, 2326, 6687, 5537, 7912, 6570, 467, 7954, 2603, 4533, 7093, 1308, 3485, 7627, 6964, 2413, 8782, 7554, 9317, 3054, 6112, 6129, 9379, 2366, 4932, 9476, 6674, 7189, 2239, 9367, 7057, 5981, 5747, 1994, 7670, 7435, 5567, 1372, 8441, 1053, 8076, 974, 5411, 3248, 8734, 7953, 6871, 3059, 55, 7060, 4928, 7382, 757, 6647, 7069, 8474, 7586, 2546, 3921, 8175, 4890, 1381, 9294, 1049, 2389, 6005, 2375, 4564, 8463, 2687, 3880, 9138, 5778, 6517, 5642, 1656, 9659, 6833, 9627, 3056, 2191, 733, 1886, 3098, 3238, 2333, 2822, 7176, 9088, 9085, 69, 1672, 424, 6251, 6330, 4226, 5067, 9225, 5507, 8260, 9798, 8108, 979, 1413, 7673, 3718, 754, 2910, 9913, 8832, 4927, 2359, 4344, 6313, 2451, 1422, 4998, 3295, 7753, 6955, 9389, 6951, 1452, 4132, 242, 7374, 5637, 7003, 8483, 1273, 9510, 2159, 435, 5630, 6058, 8313, 724, 2379, 4347, 4979, 6795, 1836, 7252, 8858, 9565, 9248, 9030, 7124, 7445, 9621, 4118, 3937, 1454, 2337, 9116, 416, 1645, 6975, 1096, 9279, 938, 8849, 2917, 2432, 9826, 4228, 5177, 5733, 8360, 7139, 1839, 8679, 1493, 1153, 9208, 1637, 4575, 6368, 4739, 3597, 614, 4045, 8161, 3013, 786, 9142, 4786, 3167, 5689, 2041, 1343, 2545, 2853, 4492, 9129, 7187, 3116, 5179, 7614, 6974, 9126, 2503, 4265, 9916, 7685, 9313, 5820, 9816, 4875, 9843, 6549, 2045, 2489, 3659, 8016, 9440, 9907, 678, 8552, 4309, 2875, 5378, 6969, 8301, 3818, 6875, 4504, 6163, 731, 9481, 4290, 5246, 1991, 442, 6315, 6903, 1555, 3683, 7945, 1023, 8730, 6946, 932, 7849, 1946, 5866, 5482, 7493, 6131, 3633, 4559, 4120, 8153, 7967, 607, 2905, 3045, 3732, 2105, 4395, 5973, 7, 5451, 5622, 8156, 327, 94, 3561, 9736, 392, 6531, 7993, 2720, 9742, 2274, 4468, 3309, 1602, 1009, 5515, 7542, 7142, 7303, 5472, 901, 2568, 4383, 7354, 6766, 5323, 636, 8152, 3383, 413, 5758, 7234, 8271, 1070, 2106, 5348, 2702, 1665, 158, 2469, 7717, 1432, 2126, 8747, 2473, 5527, 7751, 2459, 1972, 1707, 2983, 3855, 4560, 9685, 1627, 8781, 2494, 4193, 2784, 8511, 7015, 2154, 2464, 6012, 9386, 5425, 2947, 8177, 5302, 7092, 3667, 3325, 6068, 6431, 8819, 3089, 3820, 8826, 3412, 4361, 7574, 6489, 2117, 2399, 4388, 8347, 6401, 9591, 8839, 6676, 3637, 9905, 1747, 7890, 7515, 9053, 8563, 4032, 3262, 2526, 1241, 9704, 5226, 2342, 330, 5360, 1293, 8792, 1450, 7903, 6708, 7758, 3293, 7288, 4191, 8613, 5483, 1894, 1502, 7904, 9983, 6763, 4639, 3245, 7470, 589, 7546, 1195, 9573, 1829, 6578, 8280, 4581, 5152, 832, 7036, 9660, 2148, 8332, 3361, 6427, 3500, 2926, 9013, 9036, 6935, 5320, 3313, 5349, 1310, 4806, 5696, 1556, 3961, 4517, 1662, 8031, 474, 2777, 1965, 9190, 1482, 8172, 3949, 4749, 8683, 5976, 1489, 4777, 3215, 7863, 8155, 4365, 9136, 8789, 3638, 4708, 8276, 7872, 8466, 7643, 9593, 3620, 8609, 1095, 7861, 9741, 4104, 6757, 5686, 3893, 3051, 9290, 4796, 8769, 5413, 6607, 2403, 557, 3877, 1594, 5429, 4724, 1105, 1825, 4298, 5974, 2479, 7311, 8912, 3498, 8286, 3137, 2542, 6646, 2051, 8350, 9320, 5434, 5484, 799, 7810, 6769, 6296, 1841, 112, 3712, 7215, 7704, 8263, 2198, 5149, 4286, 175, 4090, 3904, 8051, 5291, 5773, 2587, 1957, 8725, 2407, 3106, 6269, 1870, 7532, 8997, 4577, 2692, 3102, 3832, 1840, 2376, 3432, 3535, 4891, 8225, 8113, 2837, 1114, 3577, 9046, 3971, 2962, 4748, 5045, 1933, 8283, 542, 3610, 1389, 7256, 3690, 7528, 3647, 3322, 447, 5946, 4182, 663, 6276, 1261, 3501, 753, 8599, 9163, 3923, 2873, 3954, 7044, 4993, 6458, 7378, 335, 7840, 793, 2690, 7644, 3996, 5643, 1155, 8041, 5372, 29, 2049, 1644, 7727, 4677, 7066, 6603, 4896, 9349, 8963, 5087, 7518, 4893, 918, 2703, 2042, 6999, 4099, 3823, 6597, 5856, 5265, 9315, 4456, 7564, 7334, 9904, 2160, 105, 4469, 4467, 4356, 750, 3896, 420, 6711, 2749, 8297, 3348, 973, 5153, 4545, 252, 9217, 1689, 5035, 8261, 336, 4880, 5901, 640, 2559, 695, 8942, 919, 2402, 1697, 8318, 6461, 7891, 7450, 1626, 4187, 8869, 5850, 5912, 6847, 5142, 9331, 6335, 4340, 6764, 8476, 3728, 3505, 1133, 2823, 1085, 2558, 2764, 9519, 5652, 6469, 8105, 2251, 563, 4553, 9460, 7348, 9398, 2035, 2516, 460, 7101, 3554, 930, 1332, 4697, 8946, 9507, 5647, 6911, 484, 2355, 2065, 4092, 600, 7342, 3540, 5570, 6317, 2610, 4611, 6379, 7267, 3460, 7245, 4173, 6562, 2934, 6273, 7609, 1274, 5548, 8711, 7777, 4466, 3884, 391, 3339, 5109, 4679, 9805, 3172, 2488, 1630, 1299, 6594, 9040, 4223, 8423, 5980, 2974, 565, 4432, 2047, 2339, 1455, 7362, 6575, 7492, 5048, 5618, 4294, 5943, 8375, 7960, 2369, 4990, 923, 6796, 9869, 4698, 6668, 1333, 5422, 8508, 1121, 726, 9620, 9579, 1080, 8373, 1370, 2705, 6448, 3180, 889, 6672, 2715, 7503, 7888, 8270, 1171, 9235, 6192, 9683, 6010, 1441, 5435, 8742, 5222, 8149, 7926, 7813, 229, 4485, 3023, 3388, 1266, 8830, 1411, 8319, 2800, 912, 3650, 8990, 5314, 7786, 6734, 6925, 206, 2920, 2034, 9687, 6235, 170, 7948, 2458, 1601, 6159, 1549, 7109, 1546, 8634, 3808, 1028, 6035, 5616, 7875, 6293, 1788, 1414 ], [ 4167, 2664, 246, 2266, 7971, 4530, 3811, 9851, 9355, 6122, 7312, 9898, 102, 3791, 6407, 9656, 59, 5825, 8168, 5005, 2416, 3069, 7078, 1415, 8084, 6190, 601, 6783, 5954, 4886, 7742, 2667, 4695, 8369, 8614, 9473, 608, 1693, 818, 9665, 8561, 6611, 3828, 1044, 9840, 1547, 6265, 9628, 7927, 8651, 9919, 5391, 174, 1837, 1140, 9075, 9822, 9790, 1390, 3740, 1135, 5336, 5029, 2130, 9541, 7816, 2736, 4081, 5358, 9310, 3891, 7359, 298, 4511, 7027, 4328, 3806, 5223, 8227, 7687, 3589, 6048, 7162, 5072, 4063, 3177, 7654, 9834, 1681, 3799, 209, 3390, 6245, 9135, 6421, 4946, 9861, 7699, 2571, 7610, 9508, 1550, 2970, 321, 797, 2435, 1863, 9576, 1178, 3885, 7624, 2237, 4283, 3867, 8871, 8324, 5847, 9608, 4185, 5078, 3327, 2269, 3079, 3211, 6583, 9626, 6682, 9374, 8240, 4480, 9086, 5629, 8054, 4165, 5676, 1818, 2658, 2752, 727, 8947, 277, 9640, 7291, 3447, 9496, 8033, 9520, 2865, 1385, 1260, 8594, 5256, 3608, 642, 9599, 6196, 2740, 7463, 5344, 3300, 7366, 3421, 9909, 7415, 79, 605, 7345, 3917, 5432, 417, 4644, 5530, 8055, 9853, 472, 1860, 1921, 9719, 1052, 970, 9258, 2098, 7408, 7866, 9359, 9408, 6041, 1852, 9857, 3663, 4865, 4650, 7077, 4742, 2618, 2611, 4951, 7396, 5752, 7825, 3850, 9041, 8495, 6007, 7779, 5301, 6322, 1173, 9326, 3565, 7063, 4572, 2029, 5097, 1147, 6176, 3160, 7625, 111, 9330, 8585, 8542, 4230, 9705, 1760, 366, 4760, 157, 8316, 7090, 522, 3522, 2697, 7475, 6561, 7732, 4481, 4003, 1812, 303, 5442, 1843, 7702, 866, 2351, 5173, 1074, 598, 1559, 9530, 1735, 599, 196, 6519, 5202, 6126, 4793, 7225, 6261, 6858, 1221, 2976, 5669, 7183, 8187, 8456, 3372, 8037, 1941, 6891, 2107, 8209, 1509, 462, 7443, 4158, 6850, 5273, 6846, 8886, 5956, 4974, 4357, 3847, 4578, 3466, 8649, 6378, 7439, 8302, 4171, 696, 45, 8404, 4326, 6371, 3672, 5461, 9796, 1609, 3549, 3926, 2242, 2307, 8446, 9397, 7619, 4640, 6326, 6260, 9178, 8204, 1055, 9991, 869, 1360, 1176, 4725, 2916, 1187, 1849, 6918, 1871, 5735, 1439, 7940, 2766, 9642, 9395, 4034, 6257, 9886, 4795, 537, 3701, 8036, 2810, 538, 9789, 796, 3258, 149, 2349, 4836, 6360, 9624, 3063, 6376, 6908, 9829, 4649, 3662, 5646, 4088, 5229, 5448, 6539, 4098, 6543, 687, 4372, 6217, 4881, 2698, 3050, 1902, 1739, 2096, 7476, 4903, 9237, 4068, 387, 8252, 4571, 1678, 1563, 8181, 573, 7210, 3125, 8795, 8444, 2804, 4216, 1180, 3767, 839, 8978, 7851, 5017, 1804, 3815, 8605, 592, 6928, 2445, 2533, 1718, 5085, 2181, 9361, 3142, 7265, 8667, 6881, 62, 7705, 3311, 9286, 434, 865, 847, 9146, 7893, 3796, 51, 6121, 8621, 2590, 5551, 5870, 1880, 4892, 6150, 1567, 5520, 8974, 1949, 931, 3897, 247, 4997, 8629, 125, 3173, 5908, 5169, 4261, 545, 2855, 8477, 5631, 8603, 3055, 2757, 6188, 9463, 90, 4142, 6018, 5019, 4342, 361, 4804, 97, 1172, 9474, 5682, 5505, 8402, 3617, 3400, 6530, 146, 572, 5508, 7776, 6536, 5375, 4969, 9106, 2278, 273, 8199, 7467, 7218, 4494, 449, 5292, 8447, 666, 7796, 4241, 8407, 2748, 3992, 4534, 1682, 5521, 482, 3457, 7376, 2368, 7597, 6202, 4203, 6457, 7337, 6755, 5799, 238, 7106, 6056, 4039, 8272, 2614, 7572, 8996, 8983, 5890, 878, 5992, 8249, 2406, 3284, 429, 8860, 7153, 6953, 85, 141, 3359, 813, 9203, 8308, 6837, 2115, 7795, 668, 3695, 6949, 1378, 8579, 8205, 3405, 6605, 3673, 9192, 2624, 952, 2676, 6923, 5230, 2518, 8724, 5107, 6106, 4001, 8623, 6811, 8866, 552, 5846, 8586, 2570, 4934, 8664, 4079, 1288, 3957, 1750, 8436, 2378, 8116, 2978, 8386, 7424, 6633, 7716, 3686, 765, 9694, 8251, 5290, 8909, 4888, 7026, 2724, 3895, 8631, 7425, 2261, 1667, 145, 2738, 8870, 7151, 5455, 8354, 2283, 8578, 1109, 6336, 7299, 2170, 2502, 4768, 4240, 3838, 2492, 322, 5190, 1976, 8097, 1896, 6486, 2860, 8547, 8891, 7965, 8914, 8123, 9876, 9811, 1464, 815, 5191, 8304, 8002, 8615, 5063, 2894, 380, 1543, 9590, 5928, 652, 389, 4124, 5392, 7448, 6295, 9933, 1001, 9134, 2679, 9414, 6211, 6704, 8414, 3047, 19, 8144, 1815, 4507, 3454, 7084, 9229, 2102, 5250, 5947, 5712, 7179, 3721, 6502, 5165, 7140, 3182, 412, 7104, 5043, 2350, 6604, 6459, 4438, 1470, 1663, 2317, 6116, 1883, 5605, 3822, 9011, 4542, 1145, 6152, 6956, 9352, 117, 1833, 9095, 5812, 1821, 163, 802, 3909, 7582, 3070, 9273, 1425, 2826, 8697, 782, 2694, 5950, 5099, 8433, 3991, 6866, 4233, 3010, 2872, 2172, 643, 210, 7000, 239, 879, 9144, 7608, 5743, 1647, 5110, 3825, 2935, 2924, 9787, 8325, 3298, 240, 3029, 2084, 7686, 453, 1831, 3596, 6490, 354, 1975, 1826, 1785, 9021, 4706, 2941, 3241, 9488, 3836, 1220, 7121, 3590, 703, 1899, 1530, 4514, 1481, 8090, 6664, 9282, 7571, 2082, 978, 6826, 6185, 1036, 3511, 9263, 377, 4918, 8899, 7618, 5632, 8397, 1257, 487, 3556, 7981, 6288, 1557, 8934, 694, 2627, 5430, 9521, 61, 8383, 9518, 6542, 5532, 9175, 4680, 5804, 8145, 3145, 376, 7812, 5167, 2083, 887, 1125, 106, 1321, 7328, 2892, 1691, 7755, 8207, 6480, 5782, 1779, 4589, 8018, 4718, 6824, 2400, 849, 7468, 4966, 7695, 3272, 3, 7949, 1702, 5557, 1607, 3253, 4373, 7721, 6950, 4012, 819, 8945, 4188, 2224, 3349, 5353, 2285, 4807, 1588, 5769, 3844, 4215, 8327, 1696, 6299, 3103, 7718, 5400, 3030, 8455, 4627, 622, 3839, 1042, 8183, 1851, 8918, 5717, 4935, 9856, 2055, 455, 2684, 6353, 8538, 486, 6039, 496, 9545, 4375, 9746, 3807, 287, 776, 3122, 7873, 2147, 5447, 6569, 2411, 9091, 1814, 4254, 2343, 2856, 5623, 4902, 2313, 6182, 3407, 3420, 7764, 2791, 2778, 7613, 5945, 2235, 7375, 9758, 8671, 9794, 3468, 2843, 9249, 2980, 7379, 1993, 6673, 7113, 7148, 5633, 9836, 885, 2070, 2751, 6203, 7431, 6686, 3399, 5975, 8128, 7958, 3966, 1231, 3220, 9186, 1978, 2846, 7413, 7197, 8415, 5809, 8087, 6328, 6333, 9635, 7240, 1590, 1761, 5697, 549, 1407, 6589, 5303, 4541, 4267, 7349, 6258, 3584, 6419, 7611, 9241, 7177, 3364, 3090, 3963, 6598, 3450, 2497, 5935, 7998, 9407, 9678, 503, 3814, 9495, 9434, 1798, 5577, 6700, 5266, 341, 3513, 2669, 9157, 2335, 4197, 8979, 1442, 947, 3437, 8120, 4009, 2615, 977, 7019, 1181, 6520, 899, 4391, 2279, 5188, 2264, 2977, 6684, 4579, 2397, 3374, 999, 8300, 1808, 1218, 2290, 1606, 4839, 4751, 6907, 5091, 6057, 2774, 6744, 7432, 2321, 9141, 9461, 5562, 191, 8193, 3890, 913, 8926, 7419, 7119, 9943, 5731, 6610, 9222, 1440, 1144, 1674, 5978, 6587, 233, 3052, 8202, 6450, 8571, 9788, 4462, 7037, 7401, 5473, 9025, 5904, 7882, 3985, 5869, 4159, 120, 6658, 6144, 4452, 7886, 610, 9433, 68, 8616, 639, 1737, 6262, 3783, 1705, 7604, 4912, 2063, 6889, 2373, 8661, 8774, 926, 463, 5625, 3205, 4780, 6546, 519, 5010, 5408, 7001, 2640, 6149, 6423, 4822, 334, 8085, 2592, 382, 672, 2906, 4931, 67, 2663, 2501, 6346, 8737, 2990, 9256, 5604, 1084, 6485, 7122, 3043, 8464, 4336, 7568, 2365, 4632, 3819, 7792, 4861, 7371, 6292, 5297, 8384, 7817, 1240, 2508, 5255, 6506, 2737, 1480, 2771, 5458, 8013, 5958, 4608, 2437, 5496, 7522, 4439, 9309, 795, 7138, 698, 2909, 249, 2141, 2604, 5503, 860, 4612, 3737, 6080, 9889, 5911, 1712, 6588, 3427, 3965, 4956, 6685, 8027, 9051, 6053, 8763, 7479, 5241, 9768, 6013, 4370, 1686, 3568, 8344, 3539, 843, 9884, 4069, 6337, 5268, 9842, 5187, 8676, 6940, 3395, 14, 709, 6514, 5985, 6579, 8210, 9131, 9960, 4594, 9371, 6650, 8100, 9288, 3902, 872, 4595, 9657, 1539, 8910, 8460, 1724, 6705, 7555, 1529, 5673, 3366, 7511, 8044, 8653, 7620, 8998, 5452, 9271, 7566, 9233, 3780, 9997, 2009, 2374, 6264, 7357, 9617, 4274, 3376, 2817, 395, 2229, 7224, 2447, 5144, 8846, 7214, 292, 7058, 9388, 471, 5263, 6628, 7089, 9526, 7848, 5475, 3719, 1617, 8521, 4299, 7553, 1066, 1237, 7314, 2576, 7335, 9216, 2206, 8755, 3093, 2921, 9079, 4094, 6283, 2654, 2839, 681, 4168, 5649, 4846, 2331, 9523, 1041, 4310, 7112, 8351, 579, 7729, 5285, 5580, 747, 9731, 4102, 8523, 4237, 1283, 4406, 6025, 6786, 16, 1459, 5653, 7500, 1011, 1312, 8311, 8024, 3286, 8333, 8662, 235, 561, 1728, 7081, 6085, 1275, 1149, 498, 9995, 1876, 1486, 8560, 7922, 6003, 2621, 8772, 4610, 7923, 6893, 1592, 2483, 8606, 6510, 9524, 9001, 1268, 6532, 8501, 1369, 5488, 9850, 1526, 1598, 5753, 3744, 2884, 3739, 3283, 9483, 5805, 4222, 274, 8770, 5196, 9561, 2347, 9609, 3750, 9469, 5949, 9883, 9570, 9064, 7071, 2448, 3335, 9431, 2644, 9774, 2207, 8572, 670, 544, 1484, 153, 3257, 567, 2073, 761, 8982, 297, 5613, 8049, 7336, 3088, 6297, 8028, 9877, 1232, 9340, 8966, 3392, 2256, 7529, 2876, 8410, 9269, 9082, 1306, 8765, 1792, 8019, 3346, 882, 9692, 9102, 5317, 7808, 5243, 164, 4379, 746, 1857, 3240, 4764, 8896, 1781, 5891, 4529, 7622, 6463, 3557, 139, 2562, 8973, 1287, 9958, 7150, 7393, 7583, 6880, 1564, 9777, 9703, 7052, 7149, 4776, 7925, 9646, 2770, 5884, 91, 13, 4311, 1632, 6034, 7838, 7188, 9251, 5052, 3163, 214, 2796, 1065, 7689, 2852, 3506, 8961, 3463, 3288, 6153, 925, 8420, 56, 1282, 987, 1980, 3353, 1458, 3285, 7198, 9204, 2798, 9560, 6002, 3429, 1184, 915, 6234, 301, 108, 4620, 4140, 7531, 2937, 3425, 9370, 6320, 6286, 4430, 934, 9111, 1160, 6168, 9196, 2178, 3545, 432, 3842, 2929, 3236, 6844, 9892, 6912, 2514, 7005, 774, 1534, 7986, 6015, 638, 1959, 8783, 8014, 624, 161, 3268, 4400, 6055, 8494, 651, 7828, 4598, 7365, 351, 2177, 5617, 7358, 814, 3026, 2057, 1990, 4292, 6680, 276, 7768, 8761, 2742, 2854, 3202, 9336, 7519, 3266, 7480, 5506, 4061, 2282, 6316, 8533, 81, 4023, 8901, 281, 3224, 1402, 2987, 1468, 5111, 854, 8023, 7606, 8628, 5641, 2918, 2710, 4755, 5667, 920, 1525, 3156, 6460, 3053, 6739, 2730, 8938, 7193, 428, 2925, 5002, 7133, 3141, 7034, 5112, 1775, 8823, 1516, 2010, 9429, 5756, 562, 1349, 4351, 9472, 2194, 9715, 2939, 5863, 9837, 6200, 2899, 7385, 5444, 9143, 4348, 6375, 2099, 7105, 4307, 1316, 5791, 2572, 2424, 7833, 2783, 8591, 9188, 5993, 5828, 3743, 6140, 6132, 9996, 5684, 278, 8659, 9283, 9308, 6118, 8117, 138, 6606, 8309, 6309, 6733, 5485, 5095, 4170, 764, 8102, 4729, 4239, 5789, 4087, 1540, 5334, 4592, 1199, 293, 7343, 8731, 9922, 1838, 7743, 5792, 5713, 6434, 4387, 456, 5821, 1346, 5211, 9409, 4779, 3370, 369, 1610, 6741, 372, 7831, 851, 5066, 6754, 7556, 2232, 4333, 8558, 868, 1776, 1872, 9023, 122, 7086, 427, 7411, 1859, 5299, 5536, 2080, 3381, 821, 7898, 6137, 5456, 5489, 8025, 8721, 8143, 3753, 7565, 7127, 8067, 4202, 3426, 7784, 5277, 856, 7785, 2815, 9404, 3465, 5672, 9606, 4646, 6931, 9363, 8246, 319, 6193, 272, 8352, 5129, 4642, 1960, 3795, 6642, 7323, 8189, 6471, 7951, 2299, 8295, 3868, 3147, 8791, 7461, 1695, 9418, 42, 7878, 4006, 8098, 6529, 8793, 225, 3036, 1196, 1924, 9941, 7010, 6727, 4166, 3305, 6537, 9022, 788, 5523, 9278, 4794, 7363, 824, 2999, 7707, 2391, 3373, 7512, 6962, 8380, 8306, 2530, 8159, 8428, 2292, 6405, 6910, 4349, 8642, 4911, 6821, 3520, 4953, 2427, 4163, 3458, 4199, 1276, 767, 1020, 365, 2821, 2328, 443, 1519, 50, 5602, 1314, 7268, 194, 5281, 7261, 3260, 4753, 9094, 8282, 929, 9369, 1064, 3378, 9139, 4359, 3609, 8815, 650, 5308, 4617, 8828, 8242, 2841, 2955, 8784, 6761, 9669, 1417, 7259, 2323, 9844, 7271, 1091, 9987, 2495, 6385, 4672, 4483, 3078, 5839, 33, 1017, 9680, 1110, 4887, 4146, 9864, 9801, 4231, 1341, 8845, 3762, 1207, 7821, 4709, 1802, 7657, 5227, 6702, 4390, 7217, 7430, 9043, 7760, 7842, 7465, 5270, 3354, 3951, 4243, 349, 9081, 9568, 6803, 5478, 2693, 1194, 4539, 3585, 1255, 2113, 6989, 617, 4593, 7457, 5720, 438, 5546, 3776, 37, 6654, 2699, 6078, 9353, 4894, 772, 9485, 1331, 8141, 4320, 8122, 5960, 4329, 2765, 9697, 3724, 8957, 199, 7355, 3854, 3599, 2381, 9878, 5274, 6609, 3270, 1541, 464, 5466, 155, 1344, 5180, 1106, 2619, 9447, 8689, 2330, 7972, 1925, 3708, 7456, 4637, 9422, 6097, 2020, 6084, 6516, 7478, 2255, 2908, 7988, 5999, 6329, 7266, 8857, 6424, 1000, 3882, 211, 3239, 9895, 4519, 877, 2276, 7190, 2816, 7932, 8430, 7694, 828, 4995, 8030, 653, 6840, 176, 5122, 3711, 9214, 4445, 5245, 749, 2443, 7629, 2997, 677, 6154, 3959, 5817, 6957, 4937, 6183, 5767, 4961, 5346, 4641, 9381, 2056, 8620, 9534, 6752, 7997, 3761, 6381, 2956, 7322, 4628, 5304, 4447, 5977, 8346, 388, 7158, 904, 3914, 3665, 9501, 900, 6398, 5433, 8916, 2061, 5402, 6455, 3883, 644, 1593, 7759, 6798, 2158, 4169, 1740, 2423, 734, 9944, 218, 648, 2124, 2696, 2756, 7110, 3046, 5042, 313, 5906, 7839, 3307, 9077, 4217, 6201, 3704, 7508, 6453, 3138, 6778, 9554, 8132, 1958, 6156, 1158, 2914, 2734, 1224, 529, 9732, 8575, 9360, 9191, 425, 6856, 3345, 1523, 8382, 4938, 577, 8592, 2762, 9103, 1729, 8303, 8808, 7637, 1250, 8388, 34, 9015, 612, 7123, 6512, 3184, 3829, 9927, 8975, 531, 4528 ], [ 7484, 1124, 2551, 8889, 5356, 9702, 2171, 9897, 1108, 4864, 4810, 3782, 1185, 6790, 9076, 4871, 6804, 7302, 4002, 5269, 1431, 3621, 4515, 7636, 7984, 3453, 4841, 3623, 2176, 9819, 5364, 7284, 4869, 935, 4318, 6620, 7761, 9696, 448, 5278, 3391, 2223, 9084, 1115, 8903, 9296, 3114, 9847, 3068, 7526, 5276, 8134, 4987, 7794, 2196, 1499, 3396, 1875, 591, 8588, 2046, 9849, 7205, 9663, 9183, 1361, 6541, 4077, 8004, 2361, 9949, 7494, 5690, 7370, 8760, 2245, 7593, 4901, 8339, 5896, 2346, 8922, 3183, 5924, 1770, 5665, 8057, 2668, 6023, 5725, 2594, 8879, 5963, 1478, 1928, 3249, 6477, 7403, 1807, 1374, 6277, 2289, 8969, 2951, 9893, 994, 1501, 5860, 3720, 5171, 4582, 2525, 1822, 7763, 4873, 7039, 3722, 1330, 9648, 4477, 807, 3213, 5404, 5237, 3259, 8802, 172, 3534, 1795, 7204, 504, 72, 7591, 6294, 4493, 4449, 5784, 8469, 4330, 4813, 8163, 9574, 9202, 3472, 8884, 8971, 470, 4983, 5755, 4988, 5480, 2807, 7203, 7298, 3133, 1003, 6854, 9322, 6749, 3674, 9195, 691, 7246, 2058, 1433, 5700, 5925, 980, 910, 658, 4392, 2120, 219, 1239, 7017, 6426, 2683, 1548, 4567, 8211, 2517, 2476, 408, 5352, 9874, 2468, 4080, 3038, 9975, 2275, 1167, 2651, 5326, 4587, 4425, 5380, 2019, 2643, 2966, 3337, 2286, 5819, 9442, 3086, 8576, 2842, 5146, 5671, 2632, 6788, 410, 5899, 6059, 6571, 137, 7815, 4700, 8104, 3594, 2222, 8740, 6853, 2310, 2344, 5873, 3246, 2838, 9695, 9307, 2360, 3831, 7444, 6061, 5114, 7182, 6231, 3507, 9691, 9585, 5148, 5920, 4110, 6187, 7211, 4053, 3233, 5760, 5337, 3977, 4234, 2840, 70, 3165, 6644, 1265, 6715, 8935, 9458, 2097, 1768, 6022, 7962, 332, 4196, 7175, 738, 6917, 7050, 9708, 8063, 2320, 9910, 6892, 1544, 9337, 6896, 4838, 6839, 5627, 6412, 4631, 344, 8413, 7277, 7199, 8556, 9738, 9863, 2631, 4437, 7454, 7766, 3900, 3131, 5583, 5013, 6243, 2992, 5481, 3312, 3212, 3979, 2060, 7658, 4220, 3244, 3726, 88, 2888, 704, 6108, 3136, 1517, 5186, 6496, 3745, 6091, 3774, 1508, 669, 6430, 2203, 4212, 3481, 9644, 8878, 2903, 5730, 1962, 6540, 9831, 6509, 8139, 2890, 7846, 5329, 8485, 4157, 5131, 168, 9207, 9839, 9577, 2250, 7434, 1887, 1711, 38, 5813, 8824, 5415, 7235, 3933, 4980, 3410, 3705, 1984, 3367, 2184, 2601, 8675, 3448, 8001, 580, 8766, 1582, 4604, 7024, 5093, 7180, 7285, 6198, 1732, 8007, 8021, 7975, 3924, 5213, 6942, 3657, 5916, 7387, 491, 9018, 9366, 1832, 2779, 8580, 2460, 6712, 4850, 9547, 2531, 8773, 2396, 2038, 2936, 1879, 8564, 9198, 8198, 4705, 6770, 633, 3225, 7659, 2844, 3931, 7487, 1669, 9327, 2087, 9062, 75, 8396, 1334, 1545, 520, 9223, 6310, 3639, 7488, 5785, 964, 713, 984, 2253, 1878, 8715, 7115, 5296, 3653, 5542, 5401, 2401, 5561, 6683, 2808, 9393, 1597, 8293, 2911, 6737, 6829, 9347, 63, 5371, 1943, 2535, 625, 5927, 77, 291, 8061, 9277, 8020, 224, 6391, 9324, 4178, 8329, 1142, 9193, 5474, 4044, 2967, 6810, 8479, 7693, 4010, 1305, 1565, 2493, 4273, 4621, 4382, 6291, 71, 506, 9653, 9714, 4184, 7130, 2304, 5074, 7576, 6533, 6629, 7692, 3684, 4016, 3403, 4691, 213, 5683, 2185, 4741, 5427, 3451, 6220, 8829, 9588, 792, 9707, 8536, 8094, 7537, 4689, 8012, 7514, 9800, 2280, 5750, 8545, 6079, 4752, 3989, 2211, 7874, 8723, 9114, 4818, 6568, 5740, 8601, 358, 2889, 4992, 7160, 5233, 3333, 1869, 6694, 1485, 3235, 4561, 7580, 2327, 1652, 9982, 9176, 6212, 2054, 4247, 6305, 7051, 1751, 1235, 9221, 9610, 9344, 2723, 6384, 8244, 4731, 2575, 5722, 1297, 2678, 6861, 7269, 2792, 9316, 2758, 2675, 960, 9757, 5907, 3928, 5004, 6703, 6524, 9957, 9923, 5491, 2768, 6195, 132, 5412, 2002, 5071, 9670, 8203, 9583, 3733, 1304, 2598, 4671, 7647, 6008, 2297, 7549, 7575, 9026, 5307, 6643, 328, 946, 1448, 5554, 7447, 3575, 8703, 9915, 507, 4343, 8544, 4189, 8962, 8806, 8833, 350, 719, 430, 2129, 7236, 2466, 9966, 9955, 3484, 502, 7388, 4889, 790, 8009, 4905, 1763, 6350, 9580, 8069, 300, 8453, 4014, 8888, 3526, 9860, 6527, 2511, 831, 5347, 9427, 3619, 9468, 2498, 433, 597, 3748, 873, 2425, 46, 4259, 6357, 2629, 5893, 3488, 9260, 1893, 6032, 2946, 7209, 4573, 1460, 8121, 8130, 1021, 7125, 3278, 893, 7520, 3873, 2221, 7096, 8314, 3779, 1819, 4041, 2907, 7098, 374, 1451, 4377, 9509, 2506, 7911, 7703, 9339, 8522, 8135, 2157, 8174, 3595, 2524, 6224, 2081, 9250, 9681, 3697, 2881, 1942, 7144, 500, 1569, 7650, 9098, 1248, 7974, 6719, 8133, 1060, 3297, 6110, 7301, 1216, 489, 9984, 571, 1075, 7228, 4859, 5135, 4376, 6547, 9162, 1419, 3887, 2544, 8568, 4495, 6411, 8484, 4067, 8771, 4224, 9581, 6984, 9504, 1243, 3870, 9666, 6403, 7440, 620, 5257, 5203, 255, 7079, 7869, 1327, 4321, 8657, 3197, 6436, 6678, 8182, 5313, 2357, 5092, 9535, 7412, 3492, 7966, 5640, 5589, 5965, 6125, 3550, 4345, 2659, 7100, 9057, 5844, 3439, 4037, 9387, 9970, 4125, 1465, 8326, 1754, 4441, 1895, 4206, 7437, 7530, 4134, 3334, 4727, 7502, 1813, 6933, 7324, 3232, 1166, 5660, 9295, 9556, 2763, 9063, 12, 4027, 9364, 1977, 5398, 8443, 1120, 2311, 9133, 9673, 5775, 9773, 5492, 338, 3757, 5121, 4116, 73, 5514, 4713, 665, 2450, 6867, 8066, 2138, 477, 7977, 1968, 5933, 4324, 6037, 6560, 4418, 9855, 6447, 1150, 7809, 9539, 3980, 9921, 852, 626, 6285, 4313, 7250, 1532, 688, 4378, 8167, 5076, 5525, 8720, 2759, 5531, 1182, 6031, 9172, 9218, 4179, 9014, 367, 6713, 4936, 7248, 5659, 6600, 5283, 8222, 2309, 1408, 630, 8050, 7989, 6728, 1174, 9489, 9689, 586, 4574, 4288, 7414, 3084, 5984, 6242, 6088, 1676, 8437, 7054, 6290, 2026, 7943, 1904, 4051, 1649, 3562, 9253, 1983, 4732, 7449, 5106, 5982, 3502, 5658, 8243, 1420, 3843, 9756, 4682, 2582, 9906, 8596, 4150, 2959, 1292, 6511, 6709, 3999, 9412, 8551, 4584, 4914, 8677, 6, 4551, 6256, 8457, 6344, 8970, 7135, 6666, 7787, 6274, 8290, 7920, 1281, 3702, 6887, 8072, 8496, 3475, 8438, 5024, 8821, 6636, 129, 2069, 1301, 2776, 5345, 9973, 7883, 8239, 534, 325, 9382, 8065, 9650, 7782, 3179, 8489, 2112, 1655, 6845, 569, 3332, 706, 2933, 2714, 8462, 924, 7691, 2646, 6238, 8758, 5853, 8618, 7230, 346, 3462, 3049, 9952, 7510, 3824, 1226, 5518, 3096, 4787, 2507, 7723, 8825, 6706, 7733, 6507, 8219, 7344, 6621, 2394, 1931, 2801, 7451, 3886, 8810, 3380, 6817, 9276, 9969, 4972, 3226, 9257, 9426, 5062, 9963, 6614, 5363, 7896, 3255, 4716, 1988, 8932, 9948, 6921, 7481, 4403, 4413, 8517, 3944, 9701, 3461, 5495, 8119, 9641, 32, 2436, 251, 6693, 5765, 7421, 6498, 3251, 3000, 2111, 1660, 4509, 3747, 9690, 2745, 4112, 4211, 9512, 3192, 619, 8654, 9323, 9765, 9870, 9020, 6466, 3228, 7543, 3998, 7055, 7588, 5591, 7578, 8515, 6204, 4585, 4607, 5545, 6017, 4031, 1032, 4209, 2163, 4506, 9120, 888, 6548, 4941, 6613, 370, 2225, 7232, 3869, 553, 3064, 2655, 6060, 548, 3862, 9953, 8541, 368, 741, 3628, 844, 8797, 294, 6808, 9770, 8718, 6120, 3019, 6879, 5339, 5059, 9652, 7623, 4791, 7843, 3560, 1764, 6939, 4629, 3209, 5, 9619, 181, 2617, 1618, 5247, 6024, 9938, 1063, 4913, 5814, 2536, 623, 9430, 1258, 1475, 9181, 8863, 1715, 982, 928, 2957, 8367, 8663, 2354, 4236, 5563, 4268, 4762, 5685, 7420, 9814, 9455, 751, 3449, 5714, 6240, 4976, 128, 3433, 7049, 5716, 8343, 5160, 5189, 1533, 8196, 5526, 7074, 4374, 6219, 8440, 9056, 3643, 5565, 3713, 842, 115, 6894, 9557, 3012, 6652, 6508, 5039, 1628, 570, 7881, 4510, 5628, 2156, 5174, 4678, 5377, 9151, 5941, 779, 9341, 4952, 2609, 9034, 7128, 1623, 4684, 3579, 2405, 9375, 6051, 5571, 4940, 863, 775, 4977, 7373, 9391, 6377, 7035, 2305, 6874, 7950, 4756, 8078, 2613, 6042, 1359, 9166, 7829, 8399, 9406, 2620, 2573, 6822, 245, 7688, 3430, 5100, 7595, 9956, 8114, 5905, 9449, 8448, 441, 2942, 7087, 6289, 6181, 9242, 7006, 6215, 6352, 5394, 5971, 9158, 2660, 3758, 1253, 5003, 6818, 4381, 3028, 1081, 4944, 9291, 8267, 5315, 8376, 6615, 7956, 2487, 3415, 7750, 8173, 1634, 8646, 5585, 4030, 7313, 742, 8435, 8859, 3014, 4135, 4730, 6365, 1900, 1600, 8780, 6417, 3729, 3714, 7603, 1742, 4262, 186, 9759, 5070, 8804, 6314, 4073, 5859, 5212, 3126, 8847, 8803, 198, 6612, 4319, 6665, 7441, 7251, 3777, 9348, 9845, 5987, 5305, 8954, 6592, 5914, 1278, 7458, 2569, 8805, 9911, 9255, 347, 7937, 4172, 9230, 7018, 4297, 4872, 2638, 5986, 3586, 7602, 3222, 7924, 8700, 3955, 5655, 3651, 227, 3443, 693, 1280, 3015, 3140, 74, 1579, 4982, 6451, 6959, 4939, 5047, 3097, 769, 3218, 6751, 8777, 7676, 7547, 5201, 126, 5332, 7242, 5594, 5951, 756, 8136, 2897, 2201, 2417, 9298, 5883, 5698, 2689, 7504, 9161, 9592, 9087, 9499, 3970, 8729, 4855, 5279, 3666, 7513, 4250, 6445, 1906, 7233, 9194, 1177, 5889, 7338, 8026, 1410, 4410, 4443, 4947, 6164, 9441, 9456, 5267, 386, 745, 7333, 9154, 2828, 1527, 1259, 2713, 5872, 6756, 5886, 739, 7460, 7677, 9807, 627, 7802, 6746, 7059, 7987, 6602, 6772, 8112, 7320, 4853, 2442, 1272, 679, 587, 7490, 1004, 4232, 674, 4137, 6720, 6399, 9358, 8925, 8960, 1777, 6535, 8756, 6961, 7126, 9244, 9989, 2072, 86, 4693, 9259, 4474, 2088, 9231, 8900, 725, 6373, 5457, 5232, 3329, 8150, 9045, 1399, 2775, 6389, 8334, 1698, 6988, 7117, 6973, 8180, 8950, 1072, 4840, 2298, 8624, 6287, 3435, 936, 8964, 3230, 3941, 5595, 4131, 6698, 315, 5366, 1183, 7007, 5539, 1270, 8732, 4925, 6047, 5470, 7868, 9073, 5219, 1513, 4851, 8630, 207, 6028, 5876, 7708, 3580, 4619, 5517, 2480, 9301, 1604, 1401, 7459, 253, 8518, 2891, 7653, 5815, 6927, 3537, 3993, 4316, 3906, 1500, 6191, 8017, 3746, 7332, 5224, 127, 1208, 4531, 1542, 2030, 3544, 1157, 6072, 9261, 883, 7129, 2270, 8245, 4033, 3120, 874, 8238, 5497, 1890, 4538, 8387, 1709, 8622, 4666, 1700, 3094, 778, 9451, 4346, 7664, 317, 21, 7159, 8972, 1824, 1907, 5903, 6128, 4692, 8600, 236, 6993, 9493, 8092, 113, 7897, 4879, 1279, 7638, 266, 3925, 3699, 1097, 8146, 4008, 4270, 7013, 6677, 8999, 3588, 4412, 8241, 7661, 5768, 4401, 675, 5940, 1302, 7632, 9048, 1435, 2284, 8340, 3840, 783, 1463, 3920, 8988, 1506, 8077, 5271, 8786, 3570, 2183, 5636, 7258, 4295, 5917, 9772, 7377, 136, 8188, 9503, 2747, 801, 7237, 5559, 1309, 9978, 3521, 4075, 6067, 4229, 2927, 4115, 9372, 1430, 9032, 7714, 4040, 1428, 5487, 2806, 269, 285, 8939, 9564, 954, 4797, 3320, 6000, 1612, 7318, 5469, 177, 4176, 8921, 2491, 8043, 5306, 7805, 3331, 1816, 4767, 6488, 7238, 2134, 5878, 15, 5915, 1436, 9994, 7506, 6146, 5857, 6586, 7615, 4832, 4208, 2444, 1749, 9373, 6623, 5726, 3119, 1608, 2179, 2900, 7278, 5751, 3111, 4435, 5500, 9072, 5026, 6585, 4501, 3834, 755, 9450, 4526, 7367, 4860, 2523, 9947, 7455, 3490, 3548, 5365, 9917, 3694, 6341, 9093, 4656, 9825, 3267, 9929, 87, 9551, 8995, 6573, 1861, 6467, 6147, 6094, 4021, 4505, 2244, 5794, 8229, 5841, 5479, 5295, 8913, 1932, 2169, 1197, 2408, 3853, 6266, 8965, 4825, 1948, 5417, 83, 7208, 4964, 871, 1031, 7857, 4024, 8458, 8377, 911, 4647, 6638, 6237, 5918, 7497, 2626, 7146, 6655, 4227, 5254, 5231, 8681, 6133, 2385, 5582, 9000, 4083, 6902, 3813, 606, 4433, 4050, 6282, 5073, 1320, 1012, 8032, 855, 7930, 6390, 9306, 3785, 461, 7397, 6963, 8890, 414, 4195, 8086, 4442, 6462, 6525, 6898, 4478, 8754, 9594, 6616, 7928, 4488, 7713, 7317, 254, 9150, 9688, 48, 3402, 6794, 1966, 1589, 2794, 6180, 1995, 2500, 3473, 6165, 1101, 1143, 8842, 9159, 4154, 3614, 5603, 348, 2965, 7391, 6695, 295, 3710, 1621, 493, 1587, 8089, 7390, 4603, 6544, 5708, 1130, 6932, 3947, 1809, 2209, 4042, 9914, 3185, 7645, 5693, 6158, 8949, 5228, 3330, 8470, 1985, 791, 2666, 6842, 9766, 4819, 2053, 6801, 4422, 1367, 575, 7917, 8658, 6179, 2898, 1939, 7918, 4547, 1797, 5811, 9329, 2485, 4139, 7601, 9993, 7108, 1688, 7901, 8767, 7213, 957, 7577, 8562, 2834, 9940, 9711, 7887, 9890, 9802, 4536, 1903, 133, 2109, 6303, 896, 228, 288, 2547, 8342, 8722, 9543, 6101, 5419, 6139, 4109, 7895, 6657, 8655, 9962, 4624, 5272, 7853, 7053, 9677, 7307, 8532, 7800, 8559, 1461, 3128, 3973, 4399, 4282, 7219, 2067, 8129, 2567, 2719, 264, 6206, 7195, 7746, 8394, 375, 1024, 1392, 1315, 9436, 1164, 5737, 4978, 220, 1738, 3368, 3606, 3377, 838, 9272, 3273, 4569, 4635, 690, 3480, 5282, 1192, 3802, 3915, 3600, 6730, 6308, 3892, 9118, 2075, 9171, 3153, 9245, 5555, 5569, 4580, 8640, 864, 9007, 3389, 8705, 2583, 1987, 9220, 5650, 3304, 4868, 8195, 3602, 9821, 2767, 5988, 1317, 4550, 1844, 8011, 1086, 4652, 4809, 9786, 130, 3624, 914, 8103, 9771, 7485, 6052, 9411, 6186, 7426, 822, 7505, 2153, 9954, 5260, 9097, 5089, 4186, 3072, 9671, 3308, 5858, 1847, 5966, 2829, 8944, 6522, 9494, 4314, 5938, 8330, 1701, 6671, 3583, 2216, 1915, 3775, 3247, 5208, 8157, 7009, 2505, 8417, 4404, 7626, 3351, 9562, 689, 6582, 7107, 290, 134, 7748, 2015, 5877 ], [ 9712, 2827, 5734, 399, 6799, 6033, 8987, 1006, 9528, 306, 4123, 4279, 4958, 4633, 5638, 5674, 514, 200, 6534, 716, 143, 8875, 8565, 7858, 3948, 744, 9828, 2820, 179, 5011, 3929, 1721, 4790, 6800, 6491, 8759, 7282, 3587, 5128, 8505, 823, 3080, 5780, 3622, 5932, 4155, 2835, 7536, 9793, 1018, 7990, 4005, 6934, 988, 6076, 4257, 8529, 732, 8070, 7811, 8779, 8752, 4897, 6135, 5678, 4799, 6872, 7292, 7296, 7257, 4654, 5742, 611, 1335, 9980, 1148, 9827, 4386, 861, 8958, 8262, 7315, 8694, 8426, 2332, 2161, 394, 403, 183, 5575, 401, 9234, 6207, 9981, 9110, 1099, 7229, 1062, 4950, 1584, 6093, 6848, 9718, 515, 3700, 8812, 2858, 9899, 1497, 4845, 4852, 6716, 7523, 1910, 259, 7400, 1377, 9304, 5385, 736, 8644, 1780, 5055, 2789, 3067, 804, 9912, 6020, 6441, 66, 6627, 5275, 1179, 1016, 771, 9453, 8335, 9529, 1188, 1759, 9974, 4923, 3876, 6812, 8566, 8877, 9764, 4303, 9410, 5486, 3878, 4743, 8106, 3467, 2220, 5014, 3894, 2708, 9104, 2830, 2861, 7253, 5127, 4858, 2923, 3738, 1730, 9356, 4019, 6938, 4613, 9050, 5779, 6521, 2981, 682, 440, 621, 8042, 7919, 5549, 1675, 6859, 1054, 4127, 5057, 9390, 7700, 7326, 9753, 1262, 302, 7131, 1210, 2633, 6813, 1191, 1561, 5936, 998, 6470, 2023, 7347, 353, 993, 4457, 1406, 2085, 9415, 6319, 8385, 7082, 1236, 5738, 4738, 1128, 4393, 7562, 8218, 3863, 5125, 2591, 3763, 9862, 5645, 939, 7885, 1717, 2975, 9725, 596, 4824, 1842, 6979, 8126, 5082, 1013, 4676, 8393, 7231, 6827, 659, 8898, 6863, 7360, 1581, 6388, 5258, 4513, 9428, 4570, 9998, 5316, 8118, 3263, 4548, 3770, 1850, 9168, 185, 530, 9049, 379, 3826, 6065, 6806, 3716, 4296, 4107, 9880, 1047, 4407, 2785, 7740, 5967, 4133, 121, 9675, 7596, 99, 7992, 1467, 6009, 5578, 5995, 5181, 8124, 5801, 5183, 2136, 2452, 2422, 3692, 1393, 6689, 201, 4801, 3593, 1483, 6767, 7651, 6184, 5757, 2952, 6785, 4516, 9156, 4454, 1651, 3496, 5746, 7942, 1198, 6178, 735, 9887, 7771, 4038, 5964, 7095, 9566, 9682, 7978, 421, 40, 7404, 6343, 2994, 5744, 5550, 5871, 4394, 5788, 8931, 3837, 5234, 3123, 4663, 9080, 3404, 2205, 5293, 3515, 6738, 805, 1856, 9332, 4659, 4842, 7964, 5409, 7297, 7681, 6802, 1787, 8403, 2370, 609, 3543, 6100, 1620, 523, 9833, 1683, 1615, 3321, 4883, 3091, 6882, 6351, 283, 2930, 7722, 345, 7850, 6107, 299, 232, 6241, 3190, 3487, 4673, 2457, 4263, 8955, 4025, 3629, 7290, 8923, 24, 8991, 6366, 9438, 2267, 1922, 4192, 7678, 7243, 5175, 2704, 615, 3864, 7684, 7836, 3789, 6731, 7788, 9113, 280, 4926, 5829, 5524, 2037, 9423, 5837, 6071, 2306, 8217, 3632, 7696, 5103, 9749, 2291, 8371, 3601, 5499, 4369, 2316, 6420, 1490, 3315, 4415, 1479, 8075, 5157, 9052, 1708, 4502, 6414, 1358, 4057, 5921, 6438, 3567, 6765, 4276, 6777, 9865, 1654, 9674, 3109, 6038, 5001, 1092, 8445, 6990, 8688, 5143, 8590, 6435, 7712, 6338, 7931, 3277, 9784, 3031, 3524, 2707, 8907, 9710, 9006, 6572, 5418, 6670, 7955, 7410, 4802, 5108, 512, 4565, 2726, 1661, 594, 6983, 6899, 1094, 4527, 6209, 4866, 4975, 4669, 1033, 603, 1953, 6271, 671, 6904, 2883, 5802, 6027, 7361, 6440, 9637, 3411, 8398, 3431, 7648, 6249, 5321, 4235, 8160, 4885, 8047, 5471, 6724, 3108, 7852, 961, 5197, 2825, 4882, 3861, 1783, 6167, 8669, 431, 1937, 1051, 2312, 8348, 8837, 5894, 3434, 7489, 2028, 3810, 9946, 6920, 2961, 9067, 4459, 4482, 169, 9939, 8865, 5459, 444, 5600, 3178, 6363, 208, 6970, 3456, 8507, 5406, 5576, 2199, 6590, 8745, 1625, 6325, 9630, 8236, 6040, 6464, 5926, 4733, 8370, 6221, 9252, 8549, 7757, 5031, 5835, 6830, 2549, 9755, 8285, 80, 7910, 3934, 7244, 6114, 9016, 8431, 6972, 1136, 9089, 8442, 60, 8471, 8158, 8864, 2003, 373, 1057, 7641, 1141, 1969, 3206, 4004, 222, 2509, 1573, 6913, 1619, 1974, 8206, 7631, 958, 8179, 897, 2596, 8074, 7916, 1558, 3393, 9824, 513, 3231, 8680, 2008, 6050, 2915, 3495, 5930, 5383, 2341, 6404, 2076, 1790, 2532, 884, 8672, 9751, 9951, 1726, 5948, 9187, 2584, 7844, 2247, 8338, 1300, 9563, 36, 6823, 481, 525, 7178, 6815, 521, 7402, 9662, 3188, 7605, 2556, 2151, 9174, 9287, 400, 27, 4219, 4026, 9760, 8221, 7754, 5519, 3689, 956, 1947, 1476, 5158, 7656, 5453, 547, 131, 6026, 5166, 7921, 9934, 9354, 2496, 3755, 983, 53, 518, 4238, 4427, 2948, 3497, 9552, 9716, 2348, 2471, 9090, 6619, 1507, 3352, 8406, 1056, 2790, 3517, 5719, 483, 7016, 841, 3058, 9618, 894, 6916, 3195, 203, 3790, 1146, 3154, 1380, 777, 6099, 4721, 8366, 9699, 737, 7383, 3424, 6504, 730, 8524, 4285, 6649, 2845, 6456, 1058, 8635, 1603, 5145, 4444, 3169, 5416, 5102, 8976, 8422, 9068, 9515, 3962, 528, 3563, 4973, 9976, 7136, 6550, 6134, 9903, 2522, 3200, 9246, 7091, 6515, 2108, 6651, 566, 7280, 243, 7083, 9069, 3083, 7008, 3035, 1970, 1574, 6413, 6836, 637, 9169, 1889, 5502, 5288, 3644, 7590, 4350, 4384, 1934, 1677, 2979, 6943, 8148, 3788, 5439, 9549, 282, 4537, 426, 4744, 1571, 539, 6354, 9297, 8062, 1648, 2628, 655, 1015, 8258, 7744, 800, 1418, 4874, 908, 5854, 9435, 8279, 1616, 9536, 8408, 9027, 7983, 6870, 6992, 8451, 6937, 2429, 8488, 4280, 8920, 3159, 8191, 3987, 4414, 4615, 9888, 5874, 1363, 148, 1554, 7880, 1267, 4750, 5900, 7668, 2024, 8855, 9471, 2985, 4017, 9813, 2440, 9514, 9019, 3319, 541, 6528, 7856, 7672, 699, 4668, 8372, 7832, 4828, 7739, 3493, 6890, 2012, 8046, 5324, 6864, 6735, 4064, 1342, 3658, 2193, 1999, 4471, 584, 2395, 7014, 9465, 1244, 5552, 8109, 5620, 3234, 9311, 5207, 8762, 289, 7741, 8992, 4920, 2116, 4306, 836, 3525, 835, 8358, 4921, 7316, 6688, 4960, 1376, 1111, 1474, 1113, 4093, 9039, 7394, 9318, 5388, 6648, 2750, 5824, 5248, 9419, 4022, 6437, 1213, 5612, 9550, 7304, 92, 602, 4719, 7970, 2589, 7706, 5437, 9854, 3940, 2641, 2419, 284, 2027, 6267, 6557, 9121, 5056, 8892, 9117, 5868, 2677, 8853, 3324, 3572, 167, 4335, 2945, 5687, 1913, 1898, 6408, 4084, 2555, 2991, 7118, 4183, 6914, 4532, 8778, 1336, 3261, 1045, 6675, 5033, 3121, 7913, 1319, 9047, 7038, 6090, 6089, 1773, 2127, 8668, 555, 641, 3669, 4334, 3478, 2652, 4396, 4291, 5376, 3071, 2090, 3975, 1118, 3509, 6828, 308, 5654, 9908, 6454, 6227, 859, 8029, 1340, 9936, 8660, 7438, 1168, 2263, 3243, 3530, 1916, 5710, 6306, 192, 7281, 6161, 1536, 7793, 6395, 4424, 1311, 3252, 7715, 762, 8015, 3533, 8361, 8607, 4198, 5218, 8292, 9672, 9763, 8131, 320, 9926, 6834, 6272, 853, 3105, 6155, 3800, 3155, 4431, 2543, 1038, 2249, 1518, 5244, 5621, 8707, 8692, 8543, 5016, 5606, 7534, 8612, 2149, 2814, 2043, 6869, 4895, 82, 2753, 6634, 4609, 511, 8567, 6367, 1633, 2553, 2212, 6340, 8750, 20, 5588, 8169, 1755, 4827, 7462, 7780, 4355, 9333, 4275, 2371, 9452, 8170, 8809, 3076, 4143, 9059, 2039, 3074, 4823, 7022, 944, 2182, 7300, 8499, 7667, 9343, 3742, 4816, 7652, 4566, 7711, 3538, 6545, 5410, 4653, 7433, 4450, 8288, 154, 2504, 702, 8989, 8696, 972, 8381, 5428, 110, 2380, 3474, 9586, 5154, 8296, 364, 9182, 2064, 6978, 4287, 5766, 9145, 5284, 8034, 3879, 5668, 309, 4948, 7395, 3995, 5195, 3303, 1710, 9232, 2481, 6214, 6787, 2272, 8472, 9325, 858, 837, 2746, 8052, 6565, 7012, 2315, 8785, 9527, 6103, 2968, 3414, 8712, 9795, 3386, 3648, 4546, 1202, 3773, 4555, 8010, 3654, 304, 945, 2608, 8665, 2462, 2818, 1234, 1404, 5477, 8893, 5038, 8278, 3193, 6474, 2164, 3004, 8764, 9243, 4971, 267, 3618, 2362, 5115, 5051, 1639, 8137, 4702, 1577, 6637, 968, 3269, 5516, 371, 1152, 6111, 7372, 4266, 4878, 5061, 6226, 7418, 5294, 3531, 4540, 8584, 9896, 3341, 3009, 7164, 2210, 385, 98, 1429, 1874, 1864, 8504, 5818, 4856, 5694, 6601, 2433, 9720, 3680, 3508, 415, 5615, 5341, 1090, 7239, 1082, 798, 1061, 5990, 3591, 1786, 1394, 22, 4576, 3422, 985, 1339, 3798, 6895, 1918, 7172, 7200, 1992, 2563, 9775, 6166, 8557, 9351, 7293, 4701, 9107, 2214, 5046, 6222, 6331, 8322, 8060, 6841, 3489, 7111, 437, 114, 7607, 6958, 8096, 7134, 6849, 875, 8197, 8093, 193, 1217, 9778, 2050, 9365, 3077, 3110, 2521, 3766, 2367, 6909, 5382, 260, 6422, 7640, 1059, 9602, 7279, 9437, 9571, 6151, 5709, 9804, 4389, 2231, 359, 4667, 9377, 9937, 7847, 6177, 5454, 7263, 2813, 3149, 3852, 2586, 2893, 6479, 4773, 296, 7933, 3174, 1583, 7585, 3503, 7769, 4600, 8274, 8405, 5044, 1037, 7557, 4965, 1917, 4089, 7728, 6718, 9189, 2901, 7353, 215, 1104, 5581, 3087, 4020, 6868, 1919, 8166, 9582, 6775, 7599, 7062, 6468, 9498, 4658, 3516, 9992, 5800, 402, 9357, 8717, 7427, 5252, 7498, 5354, 270, 1193, 3899, 6886, 7021, 8862, 9502, 9972, 1624, 5036, 8230, 8411, 2896, 4453, 8101, 4626, 1753, 2912, 150, 6442, 7914, 846, 1453, 1395, 1510, 4690, 8840, 9462, 6667, 1504, 5414, 4408, 5206, 7790, 5132, 5579, 3641, 6758, 9717, 5787, 6444, 2434, 2005, 4812, 4, 9376, 3397, 1008, 2268, 3605, 5015, 2607, 7671, 7823, 3117, 2358, 3134, 551, 8817, 4849, 1641, 2094, 1498, 8714, 2958, 9537, 7206, 3670, 1560, 6160, 6679, 9402, 2121, 5421, 7306, 8095, 9280, 6318, 5117, 9321, 9506, 3139, 7946, 4463, 1087, 3946, 2475, 6246, 409, 9378, 3343, 1882, 3060, 5902, 5151, 2353, 47, 135, 9769, 9267, 9629, 7223, 3759, 2580, 337, 1225, 9105, 3057, 5711, 3901, 2867, 7871, 1462, 1614, 2998, 683, 3144, 1252, 5721, 1447, 1366, 407, 2795, 9661, 3204, 4323, 7141, 265, 9638, 7862, 8208, 2384, 1005, 3085, 1134, 748, 8841, 1997, 3310, 1427, 6418, 1940, 1971, 5611, 5897, 3152, 237, 9199, 8800, 6669, 6472, 892, 3022, 6595, 5680, 4638, 5116, 9783, 8650, 3573, 5728, 2515, 2671, 6721, 1679, 3387, 3771, 7423, 8162, 3749, 4385, 8638, 8220, 58, 5529, 4046, 450, 9558, 7029, 6494, 662, 2338, 9448, 5718, 5522, 1885, 3187, 6432, 3082, 7666, 9060, 151, 1492, 4557, 6029, 1098, 2295, 4820, 5134, 6004, 1423, 4397, 4284, 4461, 9238, 8528, 4499, 3717, 445, 2301, 1553, 7907, 8345, 2252, 7567, 8546, 5879, 4312, 2079, 8287, 3369, 7056, 223, 2866, 381, 2656, 6653, 8254, 8937, 6358, 8647, 3161, 3723, 2685, 5468, 3323, 4353, 2649, 8699, 7477, 1409, 8281, 1923, 7517, 5845, 8554, 6482, 9096, 4910, 5609, 7991, 4512, 6707, 1538, 4436, 9289, 5677, 4591, 9779, 8531, 7737, 7045, 9432, 3950, 4863, 909, 4919, 4423, 2477, 4411, 5020, 9010, 466, 3990, 6926, 1368, 976, 182, 5843, 9932, 564, 8418, 9706, 9555, 7137, 9881, 2215, 6566, 3848, 9548, 7675, 6505, 4122, 1212, 9100, 3318, 8498, 8814, 7710, 6747, 4854, 4487, 1289, 3536, 1438, 8053, 2166, 7581, 2527, 204, 583, 217, 4029, 6552, 4128, 4048, 8525, 8045, 7384, 6481, 3100, 3752, 1670, 728, 7730, 9500, 3910, 7544, 3687, 6270, 1531, 8502, 1650, 8379, 1384, 3611, 8409, 850, 8727, 3479, 1175, 4409, 4588, 4148, 6070, 2233, 3871, 3569, 8481, 3265, 490, 7985, 5463, 634, 4602, 2293, 780, 654, 7770, 5025, 195, 1338, 1491, 6449, 2409, 2953, 8475, 3459, 578, 9604, 1666, 5133, 848, 9140, 948, 6213, 2653, 7254, 4688, 7752, 9392, 1375, 5695, 2133, 1935, 3754, 995, 8184, 9721, 809, 390, 6723, 2227, 5449, 5692, 3118, 2186, 4225, 2387, 9977, 7220, 1029, 6113, 2140, 6189, 9533, 3542, 9739, 645, 4360, 6054, 5162, 1434, 6743, 2634, 8008, 8553, 5389, 6526, 5558, 6736, 4201, 986, 5511, 4305, 4662, 2539, 2021, 2420, 3678, 3703, 3841, 406, 9990, 95, 4525, 4670, 1290, 4281, 9302, 3194, 4605 ], [ 4633, 2902, 3703, 3392, 2572, 654, 2677, 3348, 2038, 2028, 728, 3216, 7709, 3970, 8857, 929, 8195, 5759, 2605, 6607, 7021, 688, 1251, 1131, 6585, 5197, 4372, 1342, 7118, 7062, 6310, 5728, 7357, 6239, 1803, 8145, 6512, 7879, 6910, 818, 6473, 3047, 2269, 8522, 718, 2891, 6060, 3613, 6200, 5417, 6896, 697, 1849, 5125, 5832, 2719, 1296, 5988, 7778, 4165, 2531, 5094, 1326, 2538, 7000, 7571, 2599, 2178, 4436, 3542, 6847, 2634, 8103, 1280, 4036, 4928, 5708, 2848, 6116, 233, 6130, 1511, 4454, 4870, 8318, 1187, 2283, 2709, 8025, 5344, 4920, 1914, 4519, 9121, 3059, 1752, 8997, 5150, 4113, 6237, 1585, 9717, 8129, 9030, 4375, 5011, 3389, 3852, 5226, 2250, 7887, 7528, 9113, 4058, 5050, 3930, 170, 4550, 2864, 2218, 3627, 3011, 1175, 3594, 834, 5993, 8724, 4149, 1603, 2826, 7847, 9803, 5049, 7130, 4705, 9660, 8863, 830, 3597, 9669, 5204, 5569, 9388, 4648, 5624, 2875, 4398, 2553, 7570, 8084, 1268, 9512, 3981, 7772, 7336, 8194, 7443, 6878, 8096, 8334, 4960, 3176, 2729, 1701, 6920, 3946, 2557, 4082, 52, 5511, 8466, 3137, 9765, 2517, 5357, 1245, 1801, 2582, 370, 8013, 3565, 6646, 2995, 7137, 6122, 2596, 613, 8899, 3235, 2987, 3398, 1442, 4257, 7932, 2664, 5826, 6541, 6628, 7156, 9336, 2210, 926, 2731, 9756, 9408, 7775, 6832, 3791, 158, 9926, 9073, 4888, 1436, 2161, 3138, 5782, 9218, 50, 9893, 7394, 2376, 4628, 3829, 6008, 2022, 2966, 724, 5741, 5502, 6764, 2242, 8110, 8477, 5059, 6661, 6434, 7020, 9199, 4634, 9419, 4772, 66, 5459, 4074, 6033, 1295, 2323, 7268, 1826, 6916, 3085, 7067, 5627, 7283, 2058, 4512, 8515, 9250, 2573, 6189, 6868, 5336, 7395, 7066, 6709, 4108, 6323, 6135, 1303, 2860, 1997, 5054, 9029, 1250, 5716, 5128, 7503, 295, 6389, 5750, 4298, 4012, 5377, 5399, 6366, 6833, 2395, 7888, 7195, 4586, 4371, 8587, 7364, 2273, 6332, 5016, 5984, 2232, 234, 8544, 2845, 6081, 9987, 6132, 9093, 5055, 2502, 1163, 9891, 1025, 9676, 2361, 9563, 5723, 9922, 5460, 6479, 9547, 8884, 8417, 417, 6522, 2756, 7962, 2351, 6251, 1954, 4841, 1001, 3935, 1282, 6714, 5656, 7082, 4066, 918, 7679, 3013, 9813, 8943, 4687, 1030, 5163, 3795, 8405, 1672, 7869, 381, 5316, 2292, 5768, 139, 8930, 7140, 9695, 2574, 9488, 9764, 2374, 8722, 5170, 8754, 736, 811, 2101, 1, 7468, 8800, 1316, 7464, 1949, 8622, 3898, 4522, 1537, 9842, 8657, 9879, 307, 6193, 9731, 1455, 2624, 8703, 14, 5536, 5513, 3938, 3832, 4404, 4239, 734, 3276, 5294, 1037, 870, 1182, 4575, 3315, 8643, 6333, 2050, 1688, 4594, 5844, 9112, 2498, 2924, 4962, 3439, 1082, 5626, 4067, 2408, 9497, 9871, 3016, 7550, 5568, 5403, 8828, 1055, 6354, 4760, 6939, 1794, 4587, 6255, 4096, 672, 9766, 5885, 8988, 8293, 8402, 6926, 8439, 5137, 9540, 7995, 7478, 1888, 5421, 3998, 2859, 1321, 6579, 4091, 216, 2670, 2810, 7445, 7192, 7880, 951, 4079, 8570, 4194, 121, 4942, 7946, 337, 8046, 9787, 142, 7470, 2497, 9751, 1409, 9948, 9584, 3084, 1085, 4167, 4984, 7902, 6724, 9558, 981, 9517, 7706, 3362, 7728, 1717, 5353, 815, 1551, 6891, 2985, 3843, 5136, 8854, 839, 1467, 7625, 6418, 7291, 1641, 5423, 2238, 3236, 8500, 3649, 2760, 9999, 4468, 2244, 1057, 2226, 4197, 7640, 1304, 7007, 971, 2436, 2347, 9125, 1049, 2923, 5297, 4382, 4845, 8674, 666, 3186, 8279, 4934, 398, 4539, 8878, 5860, 8214, 3412, 3122, 7779, 4211, 2653, 3150, 2307, 5309, 2740, 8485, 8131, 5521, 4222, 72, 6109, 9023, 547, 2610, 2100, 5433, 7241, 2744, 3036, 6596, 3020, 458, 8220, 5948, 4240, 7303, 2162, 9870, 5200, 1286, 9003, 4481, 9546, 888, 7331, 5471, 6100, 8595, 1018, 8454, 1981, 7296, 9865, 406, 7245, 4893, 5166, 5445, 86, 6667, 5881, 6126, 1379, 1821, 6784, 6741, 2819, 4661, 6319, 7253, 3865, 9064, 3112, 9823, 6933, 4503, 7495, 5884, 1517, 4435, 4392, 238, 1232, 249, 5330, 3651, 9961, 5057, 7664, 1694, 9913, 486, 6410, 385, 7859, 9795, 7344, 875, 7948, 2463, 1905, 3395, 3313, 9809, 1324, 5060, 8506, 6662, 2870, 1604, 1259, 3990, 4438, 948, 48, 1665, 3353, 788, 6457, 1845, 1586, 198, 3988, 9182, 9888, 1432, 5735, 3773, 6883, 8486, 2076, 6968, 1346, 2672, 4954, 7975, 6308, 2916, 5650, 162, 1712, 5276, 6227, 1775, 1072, 2097, 9832, 3686, 4525, 3936, 1707, 8797, 4312, 3853, 9518, 3410, 2472, 4745, 2494, 8480, 7431, 4627, 7106, 5863, 6061, 3704, 1155, 9900, 8558, 9300, 4762, 1848, 4699, 4088, 9647, 6357, 2779, 675, 9925, 187, 6875, 1264, 4015, 2883, 4901, 8342, 4979, 9529, 1196, 9651, 4336, 8594, 8264, 38, 1391, 6067, 499, 4478, 9623, 8694, 2710, 894, 9143, 3432, 7412, 4023, 2167, 1465, 59, 6452, 3983, 3708, 3950, 1373, 8284, 9402, 3984, 9039, 3382, 5916, 9208, 3002, 5073, 4618, 3602, 8381, 3663, 7251, 3727, 1148, 49, 205, 8491, 7593, 9206, 9528, 6746, 6655, 6897, 1029, 611, 4655, 1999, 4931, 7060, 9990, 4169, 1315, 9777, 1568, 6738, 1083, 9000, 6374, 8300, 4980, 2959, 7312, 6220, 8464, 5295, 8460, 9404, 4909, 3534, 5804, 5973, 2015, 719, 4786, 584, 4897, 9359, 113, 9398, 8037, 8452, 1699, 6043, 959, 1911, 423, 2739, 7940, 8332, 6781, 7376, 9641, 9111, 6893, 7743, 7425, 9378, 3076, 9636, 9616, 9433, 4406, 537, 8098, 2484, 5263, 3388, 1961, 4702, 1485, 8085, 7662, 7285, 1591, 8803, 9069, 1076, 5293, 4017, 1567, 4110, 5535, 4676, 1415, 1715, 9177, 9810, 3251, 9793, 4639, 5052, 1860, 1386, 549, 7841, 7240, 7854, 418, 2455, 4426, 2247, 3851, 2013, 1463, 6136, 4713, 1393, 519, 842, 7700, 8956, 5343, 5857, 1481, 5914, 9091, 3454, 8778, 1612, 1378, 2212, 1985, 3438, 9327, 5808, 1986, 8351, 5239, 7043, 8770, 2584, 5700, 6045, 9506, 8488, 4139, 8517, 7578, 4422, 785, 8952, 9686, 9406, 9609, 9884, 8066, 7051, 600, 1483, 5245, 773, 9689, 3919, 6387, 1020, 469, 9124, 8822, 314, 76, 5748, 7334, 9232, 5512, 9535, 2306, 2400, 6753, 7729, 8877, 758, 7034, 6165, 6039, 8227, 1246, 7219, 3845, 4254, 862, 4331, 1200, 8709, 6730, 2693, 4747, 5778, 8670, 4000, 659, 8498, 2199, 353, 250, 2173, 7308, 3053, 7422, 4384, 6514, 6641, 1692, 9041, 8691, 4137, 1704, 1708, 9566, 7217, 6550, 9238, 9934, 3787, 8590, 998, 8192, 9459, 7770, 8561, 742, 8472, 3008, 494, 3672, 2093, 9354, 9872, 8482, 9422, 8450, 7566, 596, 9590, 2336, 812, 7653, 6317, 3346, 617, 4335, 3183, 7498, 3890, 8090, 8404, 3563, 1993, 5133, 7138, 6214, 9852, 446, 5254, 3823, 2946, 2255, 2636, 3129, 8598, 7263, 2951, 6835, 9334, 6770, 1267, 1081, 5783, 4731, 2482, 4591, 1198, 2172, 5091, 883, 1710, 7714, 164, 1260, 6249, 7057, 8031, 327, 6828, 2953, 848, 1636, 4905, 4474, 9627, 8238, 678, 5974, 7229, 3617, 4131, 4947, 3336, 4652, 6901, 8294, 4345, 3911, 8447, 4275, 3073, 9050, 4959, 9374, 2295, 5514, 2031, 7713, 4360, 6544, 6177, 7865, 395, 2417, 7965, 1847, 7877, 7186, 4081, 7677, 9625, 8132, 6306, 6689, 2240, 478, 2440, 7016, 3622, 5668, 6107, 3072, 8662, 8864, 9305, 8858, 1971, 9814, 7530, 6137, 6941, 4795, 5929, 1904, 8241, 9071, 2750, 8005, 1787, 1276, 4953, 2081, 2972, 6846, 92, 2698, 966, 5446, 391, 4377, 3090, 4168, 5671, 5907, 8346, 9276, 9033, 931, 4940, 8791, 4763, 973, 2626, 7438, 5567, 2748, 6453, 9084, 7647, 6651, 3619, 9288, 1197, 7236, 4101, 7929, 2704, 2246, 42, 3662, 1652, 7990, 9430, 9184, 4111, 536, 5350, 9544, 6995, 8752, 2289, 28, 5145, 7968, 4391, 6555, 336, 9221, 328, 9133, 7017, 8232, 4532, 4787, 8575, 2377, 3907, 892, 1289, 5302, 4926, 6460, 1390, 7876, 6205, 835, 2880, 2006, 8357, 5747, 858, 5027, 8832, 7439, 6919, 1825, 8809, 5718, 1092, 5713, 6355, 5785, 1926, 817, 6829, 7315, 5212, 2591, 84, 794, 7297, 2105, 6169, 3979, 8851, 2809, 6561, 8252, 7169, 4955, 3049, 68, 2327, 8059, 7078, 629, 2329, 2191, 1453, 3355, 6390, 7233, 639, 3498, 5848, 266, 4155, 2872, 4682, 4193, 3453, 9757, 8574, 2087, 9122, 1107, 8907, 2695, 5241, 9959, 9149, 2299, 46, 9241, 2807, 7114, 8112, 5348, 735, 8642, 5897, 6729, 9545, 2654, 4517, 3417, 2220, 3173, 6022, 3188, 325, 6669, 6121, 8947, 6979, 3459, 7579, 5216, 9467, 2072, 7899, 1866, 2612, 4989, 8427, 2851, 9205, 1070, 6128, 8732, 6991, 6288, 1922, 1861, 7252, 6673, 8440, 8481, 643, 3437, 6443, 3642, 3975, 2501, 8017, 9537, 9856, 5093, 4632, 633, 8542, 8193, 3202, 1658, 7174, 2303, 9820, 1547, 4207, 1454, 4524, 2037, 5522, 6824, 5919, 6861, 9801, 2061, 9867, 5812, 8380, 2109, 1084, 5911, 1791, 2701, 2108, 2798, 5554, 2854, 8497, 3069, 7282, 2489, 921, 8254, 4287, 8916, 6631, 2349, 5218, 4411, 4601, 6142, 8189, 2659, 1270, 279, 808, 6480, 3210, 5440, 3420, 1761, 4932, 1757, 6015, 9047, 585, 6427, 8768, 8347, 8883, 487, 7758, 1500, 2666, 9854, 9051, 4065, 2054, 6853, 8163, 4640, 6002, 267, 7668, 4851, 3149, 3397, 4706, 3056, 7047, 6565, 1556, 6320, 9130, 9638, 7108, 9095, 2815, 197, 5349, 7604, 9762, 2503, 8530, 1727, 5824, 7267, 3562, 1705, 1130, 7450, 9720, 5064, 319, 5711, 5756, 7261, 8234, 8230, 5518, 1640, 3712, 1169, 4202, 5829, 4929, 4241, 6951, 5078, 6421, 4244, 4087, 345, 6818, 8688, 2084, 6326, 22, 3525, 8432, 7904, 6363, 5819, 9944, 6153, 3204, 610, 8489, 6012, 5283, 6917, 253, 4658, 3569, 3180, 7999, 1331, 8648, 2291, 1345, 9759, 3440, 5375, 6114, 4324, 7814, 1186, 9367, 7211, 5853, 6416, 6808, 4230, 5766, 7751, 2024, 1633, 4797, 847, 2699, 6118, 1312, 9355, 4263, 6587, 4879, 1823, 1487, 3808, 9157, 9830, 2631, 2989, 1689, 4582, 6087, 3443, 8756, 1934, 5169, 8934, 5390, 5701, 567, 436, 6025, 9606, 7389, 1141, 933, 2438, 2298, 2650, 7804, 2578, 5571, 1269, 1508, 8023, 9776, 7177, 2300, 1307, 1935, 6328, 6728, 1452, 1774, 2562, 7092, 3874, 2286, 8715, 9704, 2925, 382, 2614, 126, 3292, 6141, 3530, 3277, 5633, 5325, 8060, 5823, 2352, 6196, 58, 3475, 7076, 1038, 7572, 4291, 8509, 9574, 7980, 3591, 3522, 6626, 5644, 8205, 2389, 4847, 2618, 2889, 7881, 6739, 930, 4296, 5850, 7568, 7519, 4667, 3231, 8067, 3540, 5618, 6312, 6777, 1051, 383, 9280, 3421, 5815, 6574, 9901, 8353, 4093, 6645, 428, 7513, 8985, 9473, 3802, 9494, 3064, 8814, 9771, 4553, 1816, 702, 99, 7139, 9599, 1619, 1381, 4266, 7617, 5519, 7396, 2001, 9316, 7001, 8708, 2849, 4418, 1844, 8659, 2965, 5177, 7194, 363, 4467, 7893, 7611, 3306, 4249, 2308, 4678, 6477, 5023, 5693, 3518, 9223, 127, 2098, 2901, 3243, 1166, 4801, 4773, 4637, 3501, 257, 2725, 1118, 1060, 6318, 4866, 7488, 4839, 5393, 6084, 207, 2237, 8547, 6075, 9136, 6202, 1851, 1180, 6656, 5130, 4160, 855, 3367, 3658, 7882, 1113, 8104, 2678, 4683, 9949, 3870, 7734, 1563, 7027, 3709, 2045, 6314, 8613, 2536, 2369, 3177, 5617, 8717, 7626, 7979, 7097, 3033, 1172, 2583, 6131, 7246, 491, 7951, 881, 3296, 364, 9624, 2534, 1106, 6014, 3626, 8976, 3868, 5691, 2216, 3419, 7658, 7383, 3863, 6337, 9215, 9391, 7889, 709, 8895, 3765, 1410, 7922, 2040, 9198, 9469, 1915, 6812, 8999, 8920, 3205, 6360, 1173, 6816, 8617, 3256, 4354, 262, 522, 4540, 1790, 9579, 4730, 5877, 2018, 9532, 3841, 9567, 3899, 1061, 9799, 5106, 5451, 8593, 7448, 3690, 1983, 890, 7648, 6618, 4316, 1258, 9365, 16, 2738, 4552, 4995, 5858, 829, 5429, 5777, 1488, 7039, 2827, 9301, 2452, 4018, 2511, 1372, 665, 2202, 8705, 1874, 1912, 4388, 6639, 4663, 3219, 5436, 4649, 503, 1495, 442, 2784, 5733, 974, 2565, 2189, 4853, 1443, 6286, 4578, 2504, 2000, 7972, 3939, 995, 4313, 3330, 7861, 7371, 6197, 1104, 943, 9151, 8077, 4798, 178, 108, 1298, 6946, 4993, 1800, 8058, 7655, 7401, 7432, 8521, 1257, 9699, 5314, 8502, 6616, 2026, 9805, 9168, 7386, 5797, 6776, 5657, 5968, 1854, 1596, 4765, 6501, 9505, 8004, 5710, 5762, 1360, 9601, 8706, 6115, 9070, 5418, 1622, 4711, 4759, 5090, 1205, 1835, 20, 4317, 7328, 5953, 1615, 6983, 4136, 9181, 256, 7287, 1501, 621, 8817, 2639, 6406, 8751, 9673, 8871, 8586, 814, 9942, 6046, 6992, 1536, 9454, 3716, 5388, 7565, 8135, 3136, 6182, 7115, 8410, 9421, 8831, 3548, 379, 2885, 7209, 453, 6266, 7455, 7643, 1441, 9964, 3377, 3156, 9726, 1139, 3914, 3152, 5575, 6491, 4034, 579, 5483, 2918, 9790, 1841, 9937, 2288, 4673, 8889, 61, 5455, 7218, 6930, 7056, 6736, 8585, 9838, 3913, 4990, 7133, 1743, 1451, 4284, 6186, 2939, 803, 1477, 6755, 9460, 884, 6952, 7204, 3630, 9088, 6497, 9645, 8455, 3685, 907, 7490, 1494, 5574, 6051, 8124, 771, 5613, 218, 5796, 8113, 1788, 7659, 2796, 6915, 340, 268, 9025, 8219, 1099, 7808, 6199, 5474, 2264, 1528, 5310, 5543, 4717, 2564, 60, 1417, 9678, 5181, 1241, 7041, 1053, 8690, 5157, 871, 6842, 8845, 7760, 6610, 526, 441, 4654, 3157, 1189, 4162, 2765, 7202, 8257, 1656, 5024, 4965, 4362, 6850, 6488, 9085, 5767, 6831, 10, 1247, 8669, 3679, 5265, 3844, 757, 5810, 6048, 9582, 5434, 7624, 404, 7019, 8033, 8326, 1617, 3722, 8251, 5010, 6906, 3266, 5703, 6335, 1111, 4236 ], [ 9245, 9338, 2996, 1649, 8413, 5740, 375, 5640, 979, 4635, 1648, 7742, 4105, 2820, 1700, 5108, 7402, 3985, 8040, 1367, 3273, 7969, 6704, 2048, 6601, 7824, 8721, 5127, 5714, 3282, 9930, 5681, 3743, 4701, 6368, 6803, 6254, 749, 3086, 2948, 8898, 2372, 2515, 7281, 8008, 1137, 6454, 2082, 4256, 451, 3952, 5339, 9132, 1039, 8635, 2840, 2458, 116, 3089, 4499, 7795, 7213, 260, 6865, 3615, 9076, 7669, 5660, 6568, 2587, 9981, 7310, 4809, 4390, 6817, 3580, 3250, 5164, 1395, 1274, 1577, 691, 5547, 4624, 9427, 6013, 2755, 2052, 8099, 6660, 4820, 1706, 7185, 8940, 6856, 984, 2367, 5738, 4071, 850, 5022, 7886, 2116, 4854, 6556, 5174, 1887, 6695, 5262, 5509, 5895, 6895, 4761, 9248, 1871, 7573, 1388, 1913, 4828, 9082, 9014, 8656, 7549, 24, 7785, 684, 1734, 4950, 4723, 5012, 1996, 8107, 3523, 2461, 3692, 4089, 2597, 8891, 4117, 5465, 4462, 7755, 8658, 9462, 3638, 7725, 7413, 509, 1661, 3058, 4309, 7534, 9571, 4968, 6467, 6050, 1676, 3949, 4457, 8980, 4032, 3224, 1478, 411, 3611, 8442, 3779, 5065, 2686, 7015, 271, 4353, 7406, 3660, 7053, 4794, 5890, 1674, 8114, 2684, 361, 5865, 5893, 4987, 2135, 7411, 4729, 9927, 7463, 5938, 2453, 7044, 1947, 3132, 6788, 2328, 4332, 8483, 2259, 4421, 4889, 5015, 9533, 9321, 5788, 6859, 701, 7231, 4770, 1255, 1271, 2506, 9501, 543, 9392, 1557, 311, 6538, 8723, 4119, 9637, 4498, 9298, 8825, 1589, 9784, 2879, 1740, 4072, 9180, 5453, 6091, 8961, 7518, 9297, 9407, 8197, 3775, 6934, 4383, 2027, 7225, 8157, 8782, 9902, 8605, 8010, 4304, 9240, 897, 7587, 4957, 3456, 5820, 2589, 3422, 5887, 6327, 699, 1327, 1132, 2019, 4861, 4114, 1336, 6231, 1129, 8009, 183, 7382, 7459, 5256, 8446, 3237, 2903, 2180, 2233, 4852, 1046, 7081, 7184, 7716, 7521, 6921, 6219, 6801, 8266, 7491, 7773, 546, 5596, 8687, 7800, 7351, 555, 7349, 4301, 6285, 4434, 760, 5825, 3995, 6821, 8324, 4417, 1725, 6851, 4956, 2168, 2198, 7286, 3869, 2378, 7164, 4494, 977, 4085, 4746, 6006, 8015, 9315, 5043, 6940, 6972, 7909, 9770, 3777, 8771, 2486, 9975, 3582, 8335, 5018, 471, 3356, 7354, 8710, 9531, 1834, 964, 2169, 669, 878, 4507, 9357, 3625, 431, 3134, 6606, 4538, 173, 3035, 6998, 3997, 3766, 7031, 2754, 927, 7311, 7541, 1690, 1555, 5109, 4614, 6301, 752, 3543, 9797, 7766, 9412, 993, 7673, 3436, 2955, 2773, 9607, 6954, 9431, 9458, 388, 1089, 8838, 6840, 6244, 6369, 5600, 9897, 3912, 5470, 5383, 8882, 6120, 9853, 403, 5219, 9350, 1184, 3876, 9335, 1447, 7507, 1293, 5776, 6751, 8866, 651, 6181, 5132, 9763, 6925, 8036, 1014, 8533, 1239, 904, 3973, 5267, 6731, 3097, 4154, 2727, 4423, 3174, 7745, 3794, 9815, 8153, 7171, 2535, 5279, 2407, 2085, 5488, 1498, 4044, 2607, 2363, 5864, 8210, 1565, 3299, 5000, 2629, 3756, 2512, 3978, 518, 3967, 8950, 8076, 378, 7454, 7064, 1292, 9170, 7099, 7085, 8765, 4247, 9449, 5883, 2274, 6542, 544, 554, 3332, 5028, 1675, 2514, 4584, 1366, 7628, 7584, 3585, 3349, 8419, 3465, 9172, 6278, 6316, 8385, 4681, 7068, 2688, 2733, 3218, 6086, 6373, 5979, 8975, 2388, 5587, 3381, 6726, 9317, 470, 4918, 1837, 2770, 5342, 9382, 9411, 5849, 7535, 8285, 5924, 5020, 6340, 2980, 2294, 9996, 2640, 1305, 4574, 6735, 3895, 440, 6685, 6439, 755, 7891, 55, 7040, 264, 1885, 1548, 4597, 4198, 109, 4505, 2345, 3270, 622, 9021, 8288, 8200, 6260, 508, 3249, 9936, 3538, 7674, 7598, 3661, 9331, 4605, 2055, 9862, 352, 4733, 9150, 5278, 8526, 6125, 347, 8109, 224, 4295, 1510, 1325, 421, 7601, 7704, 5341, 8054, 9468, 4609, 2581, 6620, 3786, 6792, 5991, 7151, 1256, 4364, 9836, 4086, 7162, 7660, 3371, 7153, 157, 8177, 3576, 886, 715, 5802, 1842, 1751, 4121, 3948, 1094, 8494, 6562, 6322, 1088, 2567, 4612, 6637, 9318, 8269, 5800, 7201, 3599, 3265, 7254, 6444, 8127, 301, 9980, 9019, 3230, 6866, 9642, 7273, 5400, 4010, 2806, 7894, 5550, 4451, 5873, 8160, 6672, 2190, 5152, 2696, 799, 7686, 2736, 1966, 8914, 4214, 1079, 6367, 6769, 9909, 7787, 73, 296, 7512, 335, 5075, 9718, 7616, 7295, 2635, 9482, 3189, 2201, 4056, 1406, 2120, 5272, 1065, 2521, 3099, 1012, 284, 2312, 1347, 9620, 8032, 1243, 1629, 5282, 9400, 4341, 159, 4046, 9166, 1553, 8672, 339, 3394, 1329, 703, 5558, 5704, 6431, 7100, 4460, 4891, 4666, 8039, 5556, 2831, 2588, 7644, 517, 6630, 2747, 6000, 2563, 2932, 9755, 4285, 485, 2545, 6409, 7292, 2852, 9812, 3139, 290, 8682, 9722, 3037, 9194, 6699, 5765, 1032, 6095, 3206, 3197, 6820, 8175, 5970, 1870, 5954, 7210, 122, 6671, 7003, 5041, 326, 9465, 9325, 9696, 6761, 5395, 2481, 3214, 5734, 936, 13, 1758, 9739, 5529, 4590, 2488, 3487, 8487, 4810, 1742, 9008, 8361, 1199, 6290, 8644, 2871, 1231, 236, 4264, 2608, 6096, 9434, 8900, 4843, 8119, 6085, 4011, 9716, 2876, 4215, 9304, 8758, 7215, 8610, 7368, 7846, 2707, 5135, 6533, 3588, 1531, 484, 8276, 393, 3476, 3677, 7826, 6713, 3060, 680, 7083, 9092, 490, 3816, 9712, 885, 5475, 2763, 1440, 2952, 4764, 8378, 7768, 6885, 941, 3303, 6378, 6103, 3143, 6420, 3242, 2523, 5202, 5392, 4686, 3378, 1678, 1226, 6810, 2270, 8609, 9272, 841, 6240, 9939, 6664, 2365, 5058, 2724, 6659, 7462, 7179, 7776, 7897, 9629, 3469, 7970, 4327, 8236, 2330, 223, 507, 937, 6495, 8865, 9845, 5566, 7543, 7989, 5042, 4229, 6727, 3554, 1353, 5115, 2090, 3434, 3610, 7392, 1047, 9197, 7314, 8108, 8328, 8602, 6652, 9849, 7523, 3746, 1504, 1077, 5717, 5271, 6304, 5190, 3091, 6543, 432, 4766, 9560, 6057, 5274, 6507, 8431, 4133, 7042, 2554, 8562, 6346, 5290, 4355, 6380, 3450, 2373, 6999, 2343, 6943, 2816, 9968, 9137, 8478, 2839, 358, 2311, 1278, 1358, 4004, 2183, 7193, 3253, 1936, 1152, 6030, 5859, 9831, 8911, 6564, 6614, 3488, 6749, 650, 5908, 7417, 944, 7379, 9414, 3014, 95, 5925, 6537, 1126, 4621, 9588, 7123, 5692, 5982, 6525, 2402, 6758, 6632, 9670, 2332, 4408, 1793, 8842, 6176, 5930, 4961, 8030, 515, 8201, 5463, 6815, 8449, 776, 69, 7405, 7914, 2034, 9286, 104, 5900, 3835, 1891, 6162, 8248, 8291, 1145, 9343, 7300, 1862, 7216, 1900, 3190, 7506, 1896, 2713, 1136, 3618, 2907, 2772, 4250, 4020, 7608, 1882, 7460, 3815, 2075, 9001, 2657, 1804, 7895, 6376, 5179, 9089, 7122, 1877, 3752, 1457, 1635, 3693, 4337, 9743, 8379, 7683, 1146, 9038, 857, 8737, 9654, 9287, 4470, 2194, 1714, 1156, 5564, 5118, 8458, 9863, 7998, 4647, 9005, 9933, 5792, 6415, 2979, 4016, 521, 7654, 8062, 3545, 9821, 4057, 245, 889, 1401, 9655, 2071, 9116, 7875, 3798, 4518, 4260, 8290, 1520, 6464, 9907, 8959, 7945, 8755, 4978, 873, 6814, 8259, 6041, 7911, 2370, 2524, 9110, 6752, 5978, 3043, 1206, 3124, 8255, 8552, 4534, 8631, 5298, 8462, 51, 3762, 5867, 2609, 5843, 5003, 6273, 6886, 7783, 3590, 7359, 2248, 4808, 9663, 8198, 7029, 9885, 3873, 7769, 2159, 3947, 5397, 2268, 2487, 2305, 8006, 2805, 4911, 1506, 6903, 9973, 9617, 1238, 1150, 4714, 7343, 1445, 3029, 566, 6611, 9707, 3820, 5847, 3942, 9036, 9775, 2942, 254, 3706, 8531, 8941, 1805, 3110, 8714, 6888, 988, 6303, 4840, 1662, 2886, 3046, 2550, 6986, 191, 1670, 4208, 8524, 6904, 683, 9337, 2548, 1222, 3750, 2249, 5653, 4175, 5, 6083, 6592, 2468, 410, 9605, 6582, 7842, 9719, 6575, 5629, 456, 1333, 866, 368, 573, 374, 5405, 1818, 3285, 5070, 3647, 1677, 741, 1351, 7477, 3495, 6588, 6765, 3284, 8846, 5225, 498, 3103, 713, 8289, 9410, 3074, 5526, 1843, 9691, 1538, 4038, 3455, 4629, 8247, 7135, 2003, 2188, 7398, 5835, 1068, 3733, 3834, 8298, 9754, 3297, 7629, 9118, 3034, 343, 4185, 7592, 6110, 4791, 6241, 1925, 1162, 9214, 3728, 3579, 4405, 4855, 4427, 8867, 3404, 9889, 765, 5464, 516, 9508, 3347, 9740, 1028, 3337, 7088, 7703, 1086, 9824, 8474, 3607, 634, 5926, 8991, 2431, 5862, 6183, 958, 9692, 9974, 7356, 5746, 8308, 9639, 4826, 3718, 34, 8344, 712, 3042, 527, 360, 7670, 6140, 8779, 2158, 1630, 3087, 1450, 7052, 7871, 7933, 5194, 6623, 9418, 8053, 2331, 9965, 2641, 212, 4598, 1392, 4492, 4201, 8532, 6292, 9970, 1820, 5192, 3628, 4041, 9839, 2339, 8953, 5466, 4958, 7424, 7675, 1335, 6019, 5786, 6950, 4671, 2490, 285, 174, 4806, 1105, 4546, 2568, 2104, 5736, 6493, 4724, 1580, 8569, 1771, 615, 3755, 6347, 3763, 8003, 9984, 225, 5910, 3721, 2175, 5520, 1920, 7345, 6305, 8693, 5737, 6674, 4302, 9514, 1606, 2325, 2775, 9390, 1479, 786, 4234, 5654, 3937, 6289, 5753, 1357, 4270, 1414, 9679, 7492, 7316, 8589, 7073, 4653, 7736, 9475, 2032, 6276, 8815, 3508, 5673, 4389, 1581, 4740, 3263, 9586, 4592, 3796, 5044, 8925, 6608, 2718, 5846, 5996, 464, 2751, 7333, 6270, 655, 5534, 3714, 4238, 5147, 6595, 3290, 9618, 9097, 5410, 6580, 8742, 9413, 6282, 5139, 7665, 1564, 5354, 3081, 5416, 2730, 9098, 415, 1407, 2762, 8725, 1344, 6658, 1620, 8718, 3314, 3032, 2119, 6882, 2465, 5959, 4182, 7609, 5032, 1192, 3531, 1236, 7223, 6870, 3931, 4716, 9828, 3045, 7920, 3461, 8117, 5694, 4741, 947, 386, 2425, 5628, 4204, 5362, 8887, 9255, 9530, 8876, 4156, 2099, 9869, 6721, 528, 1332, 6426, 5142, 8792, 9278, 1518, 8403, 9261, 2884, 4097, 999, 3131, 4887, 2476, 8559, 638, 4680, 4483, 3830, 6785, 9903, 9237, 4516, 6187, 9483, 3689, 8719, 2908, 992, 2314, 9403, 8624, 1879, 9363, 2877, 762, 6331, 5480, 4456, 114, 1654, 6617, 3875, 7595, 3916, 1071, 9621, 4849, 7764, 1853, 7684, 8278, 506, 957, 4784, 5661, 4610, 4374, 5031, 7226, 6762, 8152, 6798, 6221, 8, 8627, 5795, 9622, 1473, 6211, 4952, 5676, 8423, 146, 598, 8274, 2271, 6742, 6845, 2680, 5374, 3267, 3295, 7872, 2673, 8001, 2905, 4712, 8978, 2829, 1527, 1798, 5333, 6693, 2115, 4170, 193, 3213, 1892, 8273, 802, 4876, 7816, 4043, 950, 5247, 6557, 8146, 3904, 4120, 9960, 6069, 3369, 2525, 3325, 9283, 9141, 5579, 6763, 2505, 3159, 4206, 6272, 8014, 9249, 2988, 1932, 3940, 6715, 887, 5280, 9724, 2694, 9405, 8538, 2580, 8049, 8063, 7280, 4577, 3254, 2185, 2602, 8629, 4242, 5126, 206, 4493, 6942, 5102, 7126, 7172, 6701, 8555, 5100, 4871, 475, 6341, 8433, 199, 8429, 6253, 9065, 8807, 4844, 1827, 1370, 6969, 3604, 3681, 7387, 3800, 6474, 9161, 5635, 5707, 1194, 7265, 3307, 9520, 4580, 7638, 9263, 7500, 4898, 426, 6884, 5289, 9340, 496, 148, 3120, 8283, 4410, 5940, 460, 8563, 7832, 3818, 6692, 5730, 9658, 2182, 2029, 2320, 7214, 4728, 241, 3447, 9474, 1193, 8414, 8886, 5221, 8272, 5307, 1365, 2970, 3370, 9383, 5243, 9895, 8185, 9992, 3203, 3592, 7589, 7407, 1484, 5985, 792, 663, 3457, 315, 4880, 8699, 7221, 9706, 2282, 9827, 9200, 3828, 7801, 7288, 863, 9144, 656, 1476, 4693, 6935, 1330, 1158, 4977, 4125, 258, 9938, 1523, 8621, 6455, 8578, 5415, 9887, 3489, 6971, 6945, 7649, 7916, 4547, 1813, 9477, 2324, 2919, 7013, 6894, 5412, 1756, 2619, 1543, 980, 2824, 3484, 2385, 4684, 7738, 5167, 7084, 8686, 8420, 9565, 2858, 4813, 5678, 5933, 9324, 5303, 7170, 2561, 9709, 18, 6571, 3849, 809, 1244, 6900, 5533, 5124, 9675, 5238, 7870, 6604, 3906, 5372, 8313, 6973, 4445, 649, 294, 7189, 2139, 7687, 4292, 4268, 342, 3246, 6179, 6037, 5203, 4513, 8989, 3667, 595, 7696, 239, 6108, 5364, 9898, 657, 1702, 2895, 7834, 1865, 2921, 3077, 1686, 5185, 7538, 692, 1785, 7708, 3872, 4907, 4608, 217, 4725, 2224, 7239, 9444, 1153, 5727, 2010, 7994, 7279, 2823, 8984, 1627, 333, 3740, 2780, 31, 2301, 2145, 1204, 265, 5025, 7269, 377, 8944, 5300, 6052, 8305, 1475, 9330, 7447, 8171, 4756, 6518, 3088, 4689, 1933, 7090, 23, 6876, 4349, 2239, 9244, 9753, 7711, 3813, 9293, 6839, 8408, 6411, 8217, 2253, 242, 9741, 8775, 8811, 9860, 3896, 5789, 3653, 2334, 5683, 4779, 2118, 6262, 2074, 1402, 5183, 9905, 4463, 2451, 751, 599, 6245, 4771, 2769, 5468, 9780, 4570, 4922, 3402, 7542, 9061, 3221, 6188, 3304, 9576, 593, 7112, 8618, 4318, 2243, 4781, 4996, 9139, 9711, 8079, 2778, 1955, 8986, 7533, 1015, 9099, 1058, 956, 764, 7196, 2309, 7266, 9322, 2122, 2642, 1151, 5047, 4429, 9993, 8228, 8546, 5215, 8844, 6311, 5352, 500, 2262, 2742, 9596, 8685, 4269, 4045, 2079, 4677, 5096, 1420, 392, 1095, 1460, 4095, 4281, 9850, 3809, 4226, 452, 8121, 321, 8664, 2603, 447, 6744, 2187, 1275, 2049, 2566, 8002, 711, 9010, 4300, 5516, 6791, 5313, 2549, 3068, 1989, 996, 5878, 3473, 8106, 7069, 5598, 6206, 7844, 4675, 2144, 3339, 8551, 3641, 9484, 8302, 9687, 2317, 3742, 8354, 3222, 9604, 3496, 893, 7199, 4196, 3612, 8942, 7244, 5499, 3100, 6985, 8766, 176, 4800, 2530, 1544, 7259, 7927, 9962, 1770, 523, 2358, 5248, 3784, 1946, 3427, 1873, 5544, 6975, 7317, 204, 5196, 3903, 6412, 2513, 427, 9060, 7862, 9396, 6750, 8927, 3510, 2716, 5426, 8739, 6195, 3481, 7890, 6745, 44, 4134, 5165, 7293, 7992, 1119, 968, 8580, 1202, 4476, 9485, 9899, 7493, 5396, 1348, 8924, 3291, 3105, 2897, 1959, 8680, 5175, 6545, 1418, 1931, 4583 ], [ 4397, 541, 6603, 5814, 8820, 2867, 8029, 6789, 5892, 4819, 5111, 6686, 6489, 8650, 1297, 7125, 3385, 2700, 976, 7348, 3526, 2227, 3082, 462, 2576, 5191, 7786, 7146, 4969, 2469, 9500, 5006, 1203, 747, 2140, 5120, 532, 603, 7529, 3519, 2384, 4106, 3083, 2947, 400, 9284, 6344, 4933, 553, 3516, 5923, 6722, 8726, 6330, 334, 3810, 8034, 409, 8168, 7124, 7605, 3668, 7262, 3144, 8760, 4265, 7143, 911, 130, 6234, 4487, 7446, 7689, 4437, 4863, 9610, 5068, 3151, 6675, 3001, 6391, 8573, 3207, 5601, 3193, 8556, 3430, 4059, 7332, 4419, 8143, 2982, 166, 2888, 2236, 8041, 6510, 535, 7149, 9729, 6961, 6352, 341, 4356, 4623, 9142, 3846, 2683, 4180, 588, 380, 1266, 9633, 1035, 8229, 3178, 2811, 561, 7182, 3958, 5755, 9078, 7991, 4606, 896, 8583, 5119, 9561, 439, 3675, 4173, 3373, 7784, 4357, 1006, 3375, 2703, 9597, 4886, 8636, 2284, 2333, 9581, 1533, 7666, 6242, 8055, 2808, 2147, 1219, 5098, 7906, 1992, 6129, 4466, 252, 350, 3941, 4477, 4917, 8749, 4029, 2706, 8400, 7794, 8591, 2213, 9752, 3334, 6438, 6226, 7091, 7058, 1646, 7958, 6760, 8780, 5663, 6040, 6117, 3448, 2364, 1240, 7026, 1389, 7399, 8296, 4060, 4128, 2433, 3842, 2508, 9192, 1042, 9958, 4064, 188, 7978, 5037, 868, 7426, 8830, 4670, 7522, 289, 1558, 625, 7600, 5563, 1515, 1472, 7373, 8249, 820, 2628, 9264, 9174, 6956, 7372, 4447, 7370, 1502, 3199, 8339, 1960, 1884, 6024, 8639, 1254, 3676, 6780, 5110, 623, 9768, 3559, 1650, 846, 7176, 5813, 5870, 5269, 8421, 6338, 7667, 5773, 3311, 5469, 6546, 8979, 7574, 8896, 8616, 6918, 308, 557, 9883, 7178, 3902, 7741, 7338, 739, 7416, 4821, 7645, 4638, 3368, 5541, 4603, 8111, 8776, 25, 3567, 5771, 4944, 1984, 6994, 1133, 2174, 7603, 2229, 6088, 8355, 3374, 5443, 9440, 2647, 7817, 8572, 989, 6569, 7837, 2170, 9302, 171, 729, 1693, 8681, 644, 1684, 1863, 2496, 8218, 7564, 8373, 2004, 7011, 6697, 5345, 6458, 9979, 5528, 3962, 9436, 8833, 2615, 5335, 872, 9328, 5965, 5998, 5331, 681, 9399, 6988, 3696, 4461, 7971, 4112, 1776, 1526, 2726, 3996, 9074, 9705, 7883, 5328, 2646, 5129, 1729, 2520, 5182, 3807, 412, 9120, 8475, 7681, 5230, 6993, 4528, 5967, 8913, 3702, 3384, 5112, 8582, 3358, 9515, 3317, 2833, 5981, 6215, 2547, 4679, 6036, 8434, 1655, 2978, 6960, 5017, 3342, 9275, 9370, 768, 9929, 6425, 946, 5363, 7452, 2060, 1550, 1361, 9457, 2272, 591, 1310, 1287, 1183, 4504, 3521, 26, 5931, 9585, 7520, 105, 9117, 3509, 778, 548, 3506, 6566, 8316, 5382, 91, 292, 1718, 3464, 7585, 2712, 6274, 47, 2976, 3050, 2285, 5308, 215, 150, 1574, 7321, 6700, 8528, 7087, 9688, 1592, 2290, 7319, 6500, 1897, 4062, 1789, 8637, 783, 8607, 1969, 9882, 1399, 3624, 8435, 9123, 1004, 1645, 8707, 5839, 5570, 7921, 8088, 1062, 5889, 7825, 3240, 2570, 558, 454, 5408, 2644, 640, 861, 4055, 1314, 6825, 3318, 1753, 1403, 3067, 9779, 2035, 8369, 4051, 3806, 5607, 9453, 8905, 1832, 9659, 3956, 3283, 6771, 574, 5721, 39, 7409, 975, 6174, 143, 5240, 2051, 3760, 293, 962, 8268, 5852, 5687, 4042, 8149, 4007, 2758, 5116, 9044, 3228, 467, 632, 1016, 6679, 8443, 7367, 9956, 8012, 5449, 437, 6313, 3057, 1003, 9102, 5620, 3257, 3201, 6902, 17, 2014, 2414, 5994, 9971, 925, 3682, 3680, 8994, 4261, 8277, 4789, 390, 6737, 1909, 7977, 6963, 9260, 529, 5249, 3052, 1115, 6105, 7765, 228, 8101, 298, 5398, 9401, 4569, 7720, 3860, 4777, 7924, 8753, 7032, 7599, 6583, 7569, 4340, 1285, 6677, 7858, 4262, 5507, 6837, 1033, 1027, 1340, 6315, 5406, 4910, 7537, 2803, 7366, 3040, 5407, 5014, 753, 6953, 5851, 2510, 5725, 6834, 4774, 9868, 3621, 9841, 963, 1167, 9781, 8184, 4700, 6149, 5087, 8859, 4545, 4441, 5168, 3749, 4163, 619, 4548, 8437, 3713, 177, 1116, 9079, 5184, 4986, 4122, 1907, 9491, 3666, 6666, 4685, 2846, 1350, 9135, 1830, 9146, 1043, 6589, 4395, 1056, 5304, 3338, 2802, 9489, 5092, 3965, 3616, 797, 7959, 3093, 0, 5722, 949, 9715, 313, 864, 2275, 5083, 3117, 9034, 6987, 1109, 43, 9896, 4245, 564, 3041, 7481, 2943, 4812, 5688, 1462, 8633, 3837, 828, 6874, 1444, 8536, 3557, 53, 8735, 4738, 7030, 6787, 5476, 7420, 7375, 4030, 4225, 1091, 3326, 229, 269, 445, 6880, 2735, 4399, 4140, 7559, 2994, 8906, 2008, 1974, 6198, 6766, 7524, 5709, 4124, 4024, 4564, 2493, 4150, 2125, 3954, 9982, 8116, 700, 7820, 2753, 3717, 348, 7562, 8668, 1263, 5952, 1951, 1968, 586, 9394, 3552, 9119, 6627, 5432, 2910, 9066, 7190, 3989, 7362, 1419, 4752, 4237, 5326, 2981, 2786, 71, 9447, 7557, 9703, 7867, 6077, 1796, 5980, 144, 4203, 2016, 2861, 154, 7845, 2157, 1759, 2214, 2606, 824, 4568, 5879, 4432, 4831, 4314, 1291, 7187, 6625, 9918, 7806, 5346, 6527, 9054, 5097, 8352, 6560, 3987, 9420, 141, 3155, 781, 1503, 1552, 263, 8118, 2399, 1593, 7540, 8893, 3433, 8588, 2940, 2527, 7434, 6396, 2341, 4080, 1073, 8186, 705, 3888, 635, 8689, 6642, 8317, 9950, 6429, 9028, 9011, 4077, 7843, 4083, 9513, 9526, 2383, 9377, 9188, 6710, 2200, 4363, 3754, 1036, 2263, 5612, 8401, 531, 4116, 6717, 1185, 4496, 5636, 6680, 6772, 4946, 2142, 8330, 731, 5101, 2961, 8086, 3654, 8158, 9086, 9163, 5505, 277, 78, 110, 4323, 2865, 4788, 8700, 5186, 9045, 9539, 717, 5615, 6948, 1154, 5665, 4178, 5904, 3738, 3691, 5542, 2794, 8873, 1135, 6163, 9631, 1458, 5217, 6976, 9587, 6062, 1868, 5696, 482, 8428, 2722, 7936, 222, 4177, 5160, 5456, 6681, 3799, 7257, 1549, 6158, 5402, 3449, 6459, 4846, 3639, 231, 9550, 9534, 244, 2797, 2856, 5523, 9195, 4161, 9012, 7685, 306, 3414, 2083, 5046, 3629, 8196, 6605, 8810, 5187, 4613, 7606, 7390, 8389, 2011, 8885, 6598, 2909, 2421, 330, 5148, 587, 3418, 9059, 7925, 2973, 8299, 3470, 9204, 4924, 6089, 6636, 8904, 4611, 4343, 8773, 3133, 7163, 2933, 7732, 5084, 3512, 5702, 4915, 807, 408, 8818, 5315, 6797, 822, 1284, 8626, 7563, 1514, 6653, 54, 8069, 4228, 6773, 1893, 4400, 1673, 5234, 5630, 4992, 7650, 8237, 6191, 7793, 2622, 4823, 3910, 4751, 7701, 5609, 7797, 8793, 9309, 1237, 5674, 576, 6090, 8363, 5251, 7753, 3669, 4063, 5038, 8250, 5540, 3258, 5934, 2757, 919, 5539, 3215, 9055, 3564, 1429, 6247, 202, 2843, 582, 2518, 1683, 8660, 103, 8581, 7278, 9035, 7116, 9640, 6786, 790, 7036, 505, 2931, 9153, 7203, 3636, 8376, 4452, 1283, 3993, 6020, 7234, 5454, 3416, 4334, 5720, 3944, 2782, 8336, 7400, 5427, 1505, 2621, 3659, 2800, 93, 3319, 9552, 3723, 4381, 1696, 8557, 3329, 5324, 7634, 2186, 9914, 4346, 1364, 2789, 5874, 6523, 147, 7954, 8169, 7733, 6778, 6299, 5943, 7419, 7923, 6238, 4869, 8100, 798, 8092, 4221, 1808, 6119, 4537, 118, 322, 9282, 1838, 895, 8826, 7836, 3066, 7657, 6405, 129, 9721, 7937, 9366, 4565, 3652, 1719, 4490, 4021, 6235, 8322, 8804, 7298, 7580, 5312, 7077, 7688, 329, 9062, 255, 7719, 1493, 7577, 1124, 3601, 6854, 9481, 2337, 8406, 3961, 5301, 7046, 476, 4319, 3838, 1319, 4379, 6375, 62, 4602, 1078, 3605, 6907, 7724, 246, 1657, 2106, 1468, 6899, 2073, 2862, 737, 200, 1685, 2814, 7813, 7690, 6203, 1540, 9046, 3883, 6224, 201, 9375, 1302, 7636, 208, 4501, 4491, 5366, 1987, 9732, 413, 9043, 2413, 9075, 7613, 3039, 8011, 1339, 8207, 9493, 5604, 7501, 7111, 4692, 1103, 1054, 9603, 6813, 3855, 2984, 7200, 7896, 3300, 5131, 4365, 5576, 2429, 5355, 8783, 4118, 5957, 3121, 9437, 7012, 7840, 4439, 4147, 2196, 7050, 7510, 7821, 5224, 1573, 8388, 5641, 2252, 8215, 8608, 369, 4339, 9986, 763, 9507, 6161, 7963, 5067, 8795, 9991, 2110, 5260, 8967, 5288, 7249, 1878, 2637, 6964, 4935, 3429, 4722, 8281, 690, 3711, 4028, 6028, 3657, 1112, 4919, 2390, 3168, 4273, 4320, 5143, 8212, 5920, 6281, 9148, 282, 6010, 5647, 3191, 5211, 4347, 6707, 3477, 6123, 4650, 7110, 7393, 4737, 2203, 6433, 1772, 9445, 2335, 8730, 9945, 1784, 2321, 8936, 7632, 2443, 1009, 772, 7074, 7035, 11, 8757, 6201, 8484, 6349, 9386, 5273, 4833, 8065, 8093, 9684, 6035, 849, 3726, 8938, 5580, 6663, 1309, 331, 5373, 5155, 3648, 1964, 2450, 185, 4216, 3785, 5171, 5477, 1041, 4183, 6711, 3927, 9162, 3158, 2428, 6615, 5886, 2818, 8799, 7926, 9774, 5413, 3901, 1161, 5905, 4159, 9906, 7290, 5866, 5809, 3792, 1651, 3187, 3782, 4559, 8537, 4274, 9346, 3209, 9207, 5121, 1638, 806, 128, 3223, 6794, 967, 1007, 1975, 1695, 827, 7583, 6218, 6795, 7915, 8044, 9134, 6909, 9002, 3527, 8139, 7504, 2544, 9988, 6938, 3546, 821, 6138, 7104, 1542, 5697, 2457, 8676, 7678, 4814, 3577, 3227, 8611, 6977, 5553, 9067, 4530, 5266, 2792, 2986, 1486, 8696, 8094, 9677, 5838, 3767, 5964, 7930, 8235, 2260, 6065, 9080, 6112, 3027, 4703, 2667, 9580, 825, 8244, 5462, 4075, 7796, 5287, 3850, 4199, 6513, 2799, 2935, 7485, 7147, 4825, 6740, 876, 6515, 1299, 4076, 7812, 5442, 4033, 1829, 4450, 3293, 4836, 4865, 6450, 3238, 9572, 2406, 1492, 3264, 8123, 5081, 4078, 8614, 604, 3078, 4378, 1482, 2474, 8349, 3549, 6694, 4975, 769, 8240, 5210, 5724, 2412, 1660, 2662, 1814, 2319, 6005, 6890, 6032, 4803, 2342, 6011, 1995, 572, 1474, 6063, 2878, 5690, 1927, 7, 859, 6506, 7928, 5404, 5608, 7761, 668, 1889, 7809, 8191, 1177, 9857, 6635, 9701, 235, 5358, 7517, 7197, 346, 2392, 7944, 525, 6756, 133, 4668, 7575, 2114, 9100, 3878, 3486, 6167, 1811, 455, 5486, 9256, 9268, 8704, 945, 7274, 748, 8641, 2151, 3614, 4289, 3977, 8301, 2005, 1945, 2068, 3322, 9562, 2832, 9583, 9211, 9911, 6929, 740, 4070, 77, 1252, 6629, 2129, 2418, 3466, 1682, 4690, 4758, 2795, 5546, 4103, 9904, 2473, 7305, 4396, 8448, 8115, 3009, 606, 3694, 5677, 7860, 7289, 6602, 1773, 7547, 7833, 5935, 1349, 3065, 3957, 2483, 4757, 6243, 2681, 3167, 3164, 3160, 3992, 7864, 9910, 6124, 2963, 459, 1546, 1435, 3200, 7692, 1512, 8469, 4529, 4465, 1234, 6534, 3220, 1067, 4805, 5760, 7028, 9834, 6279, 4052, 823, 6362, 4376, 6157, 8341, 4413, 1434, 5606, 533, 8789, 6937, 6657, 8519, 5277, 2927, 5894, 8801, 5845, 8764, 5875, 4970, 6552, 8312, 6841, 1545, 1623, 4453, 4084, 4350, 4660, 8962, 6382, 6159, 2156, 9614, 6804, 1215, 3403, 7232, 8836, 5939, 935, 5761, 8902, 8604, 8178, 6519, 9267, 2892, 2749, 8089, 7974, 4050, 291, 6548, 9967, 9158, 2708, 4588, 5370, 4695, 9191, 1872, 288, 8632, 6613, 2258, 9438, 3003, 2958, 6612, 909, 7458, 5757, 2500, 8553, 658, 4982, 8173, 479, 7762, 8654, 990, 15, 8698, 9525, 4218, 9890, 3279, 4894, 5286, 3444, 8180, 6848, 2405, 1833, 920, 7421, 2217, 2836, 3225, 4148, 1988, 3468, 9190, 3212, 3357, 8102, 6563, 4166, 8897, 5903, 2293, 4031, 707, 56, 7699, 1782, 9452, 419, 6593, 6365, 8750, 3673, 9804, 661, 2746, 3753, 6982, 2235, 261, 704, 9389, 3859, 3383, 7235, 6113, 5642, 7815, 6908, 7347, 6263, 934, 3571, 220, 9128, 1311, 4190, 3480, 8512, 4906, 917, 1681, 4913, 2205, 5551, 1824, 2077, 9672, 8319, 7827, 9874, 2447, 6351, 580, 8061, 6463, 4593, 1216, 4342, 3724, 9789, 243, 7996, 5347, 6496, 577, 6774, 2133, 2132, 4850, 8892, 5447, 7335, 540, 8623, 4576, 8794, 9553, 2467, 6225, 175, 1970, 8957, 230, 6980, 6339, 273, 5591, 1632, 8774, 6223, 9228, 7238, 7586, 4949, 5659, 6481, 5763, 4991, 2471, 211, 8874, 297, 493, 1576, 2454, 8501, 1437, 2764, 2551, 5154, 4541, 7756, 80, 6456, 3310, 8969, 5439, 5599, 1602, 2137, 9615, 520, 9108, 7823, 5517, 1090, 7987, 2047, 7715, 5506, 37, 111, 2964, 6997, 8933, 213, 1903, 2873, 6852, 1431, 2091, 1253, 9037, 1631, 3687, 4394, 3963, 9747, 7949, 6485, 7982, 7652, 954, 5515, 6600, 2842, 5927, 8265, 3780, 9542, 504, 8164, 2507, 1318, 3424, 5990, 8467, 3116, 5955, 2434, 837, 648, 6295, 3142, 805, 2368, 3071, 9630, 6725, 8387, 9446, 2590, 1724, 7005, 8304, 9017, 6106, 4176, 3365, 6923, 4811, 9209, 5869, 8459, 7141, 2791, 4278, 8340, 6395, 853, 9360, 5490, 8727, 9728, 8028, 3889, 7330, 6021, 8695, 7619, 7910, 9243, 8679, 5552, 2278, 3971, 9947, 6644, 3771, 6775, 664, 8457, 545, 1265, 6748, 489, 3010, 7131, 4768, 4290, 9306, 4448, 1855, 3268, 8504, 6757, 6185, 5816, 1513, 6003, 5356, 9224, 5791, 1957, 2069, 9791, 1374, 9628, 35, 4305, 7101, 6581, 4486, 5489, 2632, 4430, 1209, 1768, 5487, 8666, 5450, 9138, 3141, 1783, 4164, 2437, 5532, 4186, 2598, 8358, 6078, 3923, 4068, 6912, 6530, 2676, 8860, 8412, 7180, 6505, 7070, 6843, 3848, 1466, 7885, 5378, 7008, 3400, 6213, 7183, 9671, 2960, 6465, 6498, 2899, 3406, 2304, 910, 9345, 7818, 7129, 4542, 559, 9877, 4420, 5831, 1144, 2830, 8849, 1680, 1977, 6264, 1647, 2913, 344, 6296, 2674, 7250, 8716, 4916, 272, 9193, 4484, 5781, 5649, 2136, 8747, 4604, 2687, 3255, 1765, 4630, 1439, 9015, 7957, 8078, 4414, 88, 8409, 8856, 3741, 8516, 3620, 3683, 2432, 7803, 6836, 7414, 4783, 4338, 6283, 2164, 2356, 7722, 8692, 9657, 9792, 5715, 793, 8560, 1737, 5836, 8245 ], [ 89, 7774, 8239, 1171, 775, 3305, 8495, 3499, 3196, 8568, 4446, 833, 9595, 6074, 8120, 4409, 5074, 5306, 6419, 8565, 145, 5962, 9710, 2788, 721, 6441, 3570, 8829, 2410, 1908, 4943, 2949, 6250, 85, 7117, 7976, 6342, 4416, 3192, 7329, 7526, 3308, 9326, 5080, 1413, 5156, 5557, 9978, 4616, 3789, 1301, 4500, 3234, 2922, 6516, 5712, 4674, 637, 5610, 9646, 4094, 7848, 1211, 303, 1978, 4976, 4235, 8331, 8763, 9940, 7324, 6622, 1746, 5386, 309, 8087, 5770, 7113, 1928, 3119, 9271, 149, 8852, 7695, 3833, 2197, 3252, 2866, 1942, 3405, 312, 8505, 8812, 7754, 3797, 9674, 4277, 3547, 5311, 3945, 7661, 8463, 6691, 2230, 3882, 7325, 5621, 5493, 4631, 2380, 6864, 5359, 8167, 1766, 1590, 9761, 8372, 3966, 4098, 2044, 7220, 4750, 9226, 9349, 6329, 1143, 102, 845, 6806, 6989, 4988, 8601, 8545, 6559, 3881, 2720, 6208, 414, 4936, 9472, 4832, 3425, 5007, 2009, 7497, 7045, 6300, 5158, 6573, 7749, 4455, 9954, 9698, 8329, 251, 1490, 7023, 565, 9648, 7258, 5744, 3589, 708, 4754, 7103, 8535, 7449, 4227, 2627, 6436, 8074, 9570, 6092, 7851, 2950, 1017, 1613, 1952, 184, 6502, 1233, 628, 9369, 8374, 5062, 7943, 1570, 9998, 3359, 8035, 7548, 8070, 9, 9083, 9490, 7697, 7558, 4, 6445, 1679, 2267, 5548, 1958, 6796, 8787, 4895, 1578, 5076, 7748, 8667, 5391, 463, 5069, 9362, 4449, 2102, 3707, 6688, 2386, 7663, 3885, 594, 209, 3671, 81, 4862, 1698, 4736, 7435, 8166, 7509, 2396, 6164, 9504, 9126, 4219, 4999, 8323, 510, 8861, 2206, 592, 189, 1792, 5250, 2781, 9666, 2152, 3633, 8821, 3609, 5769, 1857, 1509, 4531, 900, 3646, 1940, 5458, 1210, 9087, 6294, 366, 8973, 2036, 3182, 2435, 4595, 3917, 1747, 4425, 8309, 3558, 4048, 9464, 6932, 4816, 30, 8267, 9266, 7908, 3260, 9656, 1587, 7423, 3574, 1220, 9495, 8395, 7403, 6099, 3098, 3345, 6377, 2817, 9299, 5371, 3259, 7166, 689, 3887, 138, 8875, 1279, 556, 7157, 9694, 7853, 6936, 589, 4776, 780, 2277, 7006, 7672, 4802, 6054, 7984, 7707, 3198, 96, 5008, 3113, 9470, 8606, 8320, 7942, 898, 6018, 9380, 9480, 4822, 6591, 8503, 6860, 8027, 7341, 5637, 3831, 693, 2737, 9806, 3556, 4938, 101, 7109, 560, 9746, 2442, 7702, 7188, 8038, 172, 5261, 2020, 8630, 7532, 4561, 402, 5632, 3974, 1624, 2128, 3507, 3861, 9081, 9056, 4005, 3769, 2793, 8206, 2322, 119, 7428, 6101, 9635, 5086, 4333, 4951, 3244, 4090, 9216, 5385, 8748, 3606, 9339, 6236, 2766, 9916, 5411, 9846, 3286, 8182, 3684, 3535, 3879, 8490, 5775, 9291, 1281, 5103, 3048, 7096, 4444, 8359, 8612, 394, 1354, 7863, 4306, 310, 9196, 8050, 3586, 961, 1382, 5672, 1763, 4708, 9822, 6678, 2176, 6298, 5004, 3361, 1489, 5705, 4267, 3650, 9042, 4657, 9714, 9499, 8813, 2663, 4884, 2143, 8150, 5729, 2141, 8554, 8923, 3211, 6269, 2357, 19, 4656, 9311, 495, 3747, 8790, 9022, 7284, 800, 1839, 4471, 5531, 5669, 1902, 2326, 2042, 9524, 6927, 304, 6855, 9277, 9219, 5983, 8977, 3007, 8966, 7002, 6871, 3423, 434, 612, 3674, 5525, 6070, 6432, 3737, 8394, 5275, 9844, 8567, 1034, 9426, 5236, 488, 8473, 2728, 9361, 1433, 2089, 4502, 1000, 647, 6648, 8762, 2426, 7048, 6049, 6706, 9167, 7159, 9977, 8492, 7471, 6578, 7693, 21, 6830, 2007, 8172, 4697, 9140, 1010, 6343, 4790, 8853, 7469, 3824, 1744, 4625, 5597, 3529, 7646, 7596, 7822, 8209, 5790, 9612, 3364, 9213, 3102, 362, 3555, 4963, 384, 4223, 7272, 6532, 2379, 3856, 1594, 5754, 6862, 2491, 6959, 743, 7294, 4329, 7545, 4184, 8946, 2577, 3028, 2993, 3312, 6567, 2160, 3623, 5361, 9310, 124, 1179, 2344, 9602, 4815, 7072, 7378, 1213, 3165, 3169, 3463, 1621, 5368, 6823, 3471, 7496, 2313, 8880, 6643, 5662, 8596, 1802, 5655, 6702, 4557, 2702, 468, 6800, 3934, 6252, 5317, 7337, 7061, 7322, 4380, 7260, 8840, 64, 7966, 8990, 6364, 226, 5431, 1899, 8424, 1726, 3505, 2785, 3079, 1188, 682, 5138, 5944, 7363, 8213, 461, 6911, 653, 9178, 8375, 8016, 8386, 4622, 5144, 860, 7230, 8297, 1427, 8511, 9107, 457, 5561, 5063, 2752, 4974, 706, 4696, 9769, 8824, 9312, 3261, 5658, 9364, 4755, 2179, 997, 9203, 2528, 9835, 9634, 4581, 3239, 5828, 3241, 4252, 3490, 645, 3038, 9521, 4837, 2411, 3094, 9466, 5492, 4480, 5906, 2138, 9358, 6408, 940, 7243, 57, 2340, 4191, 8047, 938, 4061, 915, 2914, 9425, 2971, 6996, 7763, 2938, 4369, 397, 1668, 6698, 7746, 6127, 608, 7377, 7938, 4255, 597, 4025, 6336, 1864, 8368, 7981, 2679, 3024, 4973, 3442, 5332, 4171, 6212, 6469, 8713, 7839, 2540, 3635, 698, 3021, 1722, 3909, 2671, 8835, 5977, 1074, 6094, 9007, 5285, 5231, 9294, 3994, 1799, 4551, 2904, 6638, 6359, 6528, 4900, 274, 2456, 3730, 641, 3226, 9650, 3918, 1569, 1147, 1919, 6178, 299, 8007, 5232, 1973, 1491, 7515, 473, 1895, 1530, 7698, 7757, 4248, 3561, 1249, 7552, 6466, 4941, 677, 6554, 5223, 1201, 8188, 6267, 305, 1317, 9231, 5577, 7591, 627, 865, 6451, 5222, 7358, 4351, 3761, 912, 8890, 7514, 4174, 6747, 3407, 5667, 3396, 2656, 2649, 1294, 7610, 3281, 2723, 9880, 3688, 4367, 5323, 5841, 9873, 5834, 6590, 1519, 4157, 6259, 8949, 5034, 4645, 3148, 8663, 9808, 1881, 2837, 7961, 9681, 8992, 2225, 2163, 3162, 2204, 8052, 8183, 9619, 978, 2669, 8465, 7623, 4858, 5448, 5947, 5176, 1134, 5367, 9818, 1277, 7735, 8282, 6044, 6210, 9160, 4104, 9040, 7567, 8122, 3092, 3793, 2127, 1998, 8314, 1383, 2346, 3458, 7065, 2397, 9032, 1052, 356, 1584, 8728, 2150, 882, 5257, 2630, 4872, 3539, 9251, 1750, 7466, 2280, 2459, 7451, 3751, 3331, 3054, 6058, 2711, 3822, 6947, 4132, 955, 8786, 9735, 725, 4019, 7544, 5524, 8021, 2420, 9246, 5113, 1607, 6599, 7939, 2975, 5401, 151, 357, 1777, 1831, 4688, 4589, 4923, 9969, 8926, 4807, 4878, 2287, 8362, 6503, 9395, 902, 8382, 7154, 9416, 7788, 1711, 3026, 9024, 1735, 2714, 1525, 2516, 9976, 5149, 3328, 9593, 5896, 6682, 3980, 27, 182, 5787, 2318, 8397, 6511, 4572, 8202, 5088, 8872, 3387, 6064, 5827, 8910, 6494, 1599, 5995, 9090, 6388, 8508, 6509, 2579, 1050, 2529, 2063, 9935, 153, 5467, 4054, 2448, 512, 6397, 5987, 5242, 9573, 4253, 6958, 4719, 5842, 8628, 7472, 7789, 2315, 9020, 965, 5510, 6734, 2541, 9683, 6413, 1720, 9833, 9348, 1659, 7771, 120, 8543, 5545, 4672, 3877, 8356, 8513, 5719, 816, 1338, 8426, 9428, 5605, 7852, 3783, 2560, 4100, 29, 7873, 4217, 9555, 6146, 7004, 738, 5002, 9173, 9253, 4780, 3012, 3825, 1337, 7256, 9031, 1480, 8203, 5945, 6016, 7694, 6093, 8507, 7168, 4778, 1943, 8603, 939, 854, 6521, 9262, 730, 3955, 9498, 8325, 609, 9632, 8848, 9837, 6570, 5117, 8987, 8935, 1901, 899, 8418, 9723, 3715, 4127, 1560, 9052, 4428, 9152, 1807, 3494, 4571, 1496, 444, 7136, 3551, 9559, 466, 9643, 8398, 7680, 4348, 5999, 5646, 8671, 1168, 4555, 4921, 9164, 851, 2997, 6148, 9004, 5732, 5625, 9373, 4352, 5997, 9600, 5327, 6809, 5351, 5504, 1461, 6526, 5634, 8576, 2911, 8225, 9171, 9247, 7527, 1423, 4001, 7299, 6358, 2645, 1852, 2593, 2181, 5689, 5784, 9557, 8711, 5918, 5045, 1227, 6071, 2223, 9344, 65, 4232, 667, 9009, 1002, 3951, 6767, 9626, 1609, 5956, 317, 9169, 448, 2533, 3075, 1916, 3550, 2126, 9258, 3232, 8939, 5976, 4857, 9461, 9212, 6754, 5039, 1424, 8827, 7444, 9114, 4308, 3862, 5592, 2834, 8981, 8147, 3354, 8599, 6111, 880, 676, 8321, 3051, 6448, 7790, 5749, 3637, 4804, 9972, 9356, 5966, 3656, 6038, 6944, 1412, 117, 1595, 8292, 6072, 3343, 3925, 5989, 4092, 5394, 5739, 6733, 1341, 7160, 7191, 7247, 1532, 6486, 4386, 232, 4144, 4152, 3217, 8620, 6446, 924, 2475, 6001, 9538, 5009, 7531, 6184, 3573, 3729, 2585, 8445, 3560, 8407, 2569, 1579, 1352, 8367, 9104, 3467, 2625, 7811, 1967, 9662, 9018, 9387, 9274, 2276, 1159, 6783, 3111, 8564, 831, 8260, 8105, 8647, 7986, 6962, 7301, 8901, 9807, 5409, 1924, 5562, 1890, 1471, 4896, 9921, 5053, 3736, 777, 7009, 477, 6175, 5913, 7410, 6719, 5497, 7917, 5898, 354, 6393, 4145, 6372, 9511, 5614, 123, 9257, 6759, 196, 3452, 6009, 8133, 6720, 7033, 3175, 8645, 5807, 4006, 7134, 9492, 4443, 1138, 5559, 6858, 6134, 727, 7465, 1667, 3275, 2359, 7838, 972, 474, 7227, 7712, 6708, 7025, 4458, 5801, 8444, 8566, 7181, 4585, 9589, 4641, 5500, 2387, 5794, 2969, 7723, 4008, 9156, 4824, 7079, 2522, 416, 4212, 7086, 2146, 9341, 6957, 420, 5726, 9749, 3719, 1950, 8862, 8134, 6004, 3908, 1859, 6154, 7128, 2586, 9549, 4535, 7931, 3929, 4864, 5264, 3018, 3803, 9285, 620, 3720, 7868, 4040, 5452, 9668, 6430, 169, 2828, 6665, 134, 551, 7849, 7089, 605, 9187, 5001, 7054, 4469, 7228, 4527, 9519, 2184, 3006, 5206, 1716, 9220, 8945, 8383, 8869, 987, 4276, 3493, 3030, 1598, 6872, 1359, 2155, 6233, 779, 8879, 6324, 4403, 571, 9995, 3127, 3114, 8064, 5937, 4549, 8270, 2600, 2881, 7276, 578, 152, 7242, 3826, 9371, 2123, 6147, 3801, 9817, 8653, 1965, 1469, 569, 6166, 4472, 2509, 2968, 1101, 465, 5422, 1031, 732, 3491, 4026, 6173, 1190, 7901, 8761, 2945, 9912, 6370, 7352, 782, 4997, 8729, 5360, 9802, 4617, 3462, 3866, 8917, 1248, 2616, 6558, 4607, 3744, 3080, 2416, 524, 6649, 8837, 3757, 6350, 8929, 6531, 1313, 1741, 9303, 6440, 3431, 9509, 6155, 6442, 40, 8286, 7205, 6271, 8954, 8176, 2767, 9725, 5252, 3503, 5971, 4642, 4130, 8995, 2466, 2991, 3511, 7618, 6517, 7304, 6624, 6483, 3999, 674, 9785, 7791, 7730, 9783, 8646, 2894, 4727, 6209, 160, 1541, 7318, 6384, 8097, 5752, 3758, 2088, 8816, 9179, 2717, 4366, 4299, 132, 9381, 4509, 8154, 4271, 3513, 3817, 840, 6265, 5208, 8140, 8808, 1521, 4767, 770, 7798, 1634, 1666, 2613, 8137, 8161, 986, 8740, 405, 3933, 3884, 2660, 7727, 1235, 7739, 8702, 7486, 9423, 2153, 5281, 7555, 3710, 8785, 6955, 8948, 745, 8181, 3670, 8303, 3379, 9329, 7467, 2638, 2348, 7433, 5603, 2812, 4892, 1572, 449, 2801, 3748, 5743, 1918, 8142, 4520, 1064, 7206, 372, 6826, 646, 5495, 1941, 8678, 8855, 3976, 5161, 8350, 5077, 2228, 7777, 5901, 7161, 4835, 1749, 4830, 1507, 9920, 1937, 6551, 5560, 4172, 9734, 4179, 97, 3774, 5482, 8549, 9788, 4930, 1880, 5056, 9786, 5095, 4485, 5040, 8823, 2874, 2838, 7737, 7516, 9578, 8468, 9843, 9295, 179, 9737, 6284, 5481, 9259, 1628, 7710, 5369, 3731, 6190, 3287, 7903, 7630, 4707, 502, 4523, 8736, 5780, 6984, 6172, 3341, 9892, 9313, 6553, 2446, 6082, 3004, 7353, 1732, 2254, 5951, 7080, 7878, 6392, 5527, 3655, 3391, 137, 1093, 4615, 6478, 7750, 7038, 4440, 338, 5340, 2208, 5876, 746, 6881, 2835, 2692, 5026, 9652, 8199, 8767, 2165, 3096, 8744, 953, 3595, 5855, 1739, 4626, 2601, 1387, 9077, 2401, 1376, 4310, 195, 9503, 8365, 8020, 9254, 1261, 2604, 9876, 1618, 6386, 8275, 3413, 4799, 3804, 3819, 3441, 9342, 4195, 3665, 2231, 3581, 5695, 5803, 2850, 6586, 4511, 1459, 8733, 6180, 7380, 8802, 9742, 9235, 6619, 3146, 6401, 3446, 5588, 4827, 5376, 8661, 281, 4533, 7759, 1980, 514, 4599, 4213, 1221, 2195, 8772, 6423, 3393, 9957, 7560, 6256, 3145, 8619, 5555, 2847, 5299, 1939, 2768, 8550, 33, 3500, 9951, 8258, 3125, 1738, 4153, 5237, 2855, 8416, 7829, 1921, 4885, 9006, 6029, 349, 2296, 8796, 9767, 6424, 4743, 3340, 5811, 4877, 2070, 6654, 563, 8190, 1397, 5868, 9115, 3147, 167, 5430, 6857, 3161, 6381, 7094, 3428, 7437, 6863, 7620, 7780, 1368, 9155, 1394, 2912, 1886, 2863, 7633, 3107, 2668, 8263, 8425, 6291, 2297, 2715, 6914, 2207, 7947, 7997, 5268, 4859, 7059, 8026, 1929, 1815, 5258, 9478, 83, 7408, 5213, 7802, 1066, 7237, 695, 9826, 5581, 425, 9924, 7561, 3023, 1497, 6275, 5140, 3517, 4939, 1026, 79, 7010, 7385, 916, 4796, 733, 5209, 2222, 5193, 3335, 1748, 4914, 7155, 8993, 7752, 4694, 9794, 87, 5583, 4720, 373, 7098, 2732, 4475, 275, 9376, 8496, 9063, 7148, 7483, 1229, 389, 5496, 7857, 6356, 8415, 570, 8525, 5180, 3000, 9353, 8870, 714, 4497, 219, 6970, 7014, 3208, 8615, 2841, 8224, 3298, 7912, 1809, 581, 6066, 952, 6549, 4543, 991, 2537, 4141, 2705, 7691, 2651, 2430, 9917, 7635, 9736, 4138, 3390, 7508, 5089, 5188, 3233, 4506, 1795, 6334, 259, 8082, 5872, 7590, 8223, 4890, 3445, 5909, 1850, 3272, 1355, 7884, 8226, 8534, 8798, 5651, 8043, 9242, 5105, 1123, 278, 9225, 3386, 9439, 4330, 2409, 550, 3351, 6931, 429, 75, 8371, 2350, 5680, 9946, 8701, 6407, 1876, 583, 1894, 9568, 7918, 3532, 1524, 2064, 6400, 1559, 5963, 2193, 2967, 5631, 4620, 3920, 7487, 6268, 1554, 1713, 8441, 8634, 8075, 5595, 300, 3171, 6371, 9479, 7767, 5173, 9928, 163, 3022, 3126, 4981, 7602, 8741, 4994, 1883, 9983, 8665, 7582, 908, 5338, 5666, 6905, 3699, 2665, 4151, 4039, 6302, 4643, 6228, 1898, 3897, 5830, 8970, 9758, 7830, 6217, 9320, 6152, 5806, 4009, 9864, 3316, 3864, 4868, 970, 492, 210, 6073, 4246, 1608, 4049, 4665, 3587, 9955, 5153, 5616, 365, 4709, 1644, 5472, 7892, 9072, 4856, 5764, 2745, 8909, 3482, 9855, 5921, 2281, 3409, 5589, 8333, 90 ], [ 9829, 4495, 9347, 1121, 2655, 9543, 4192, 2265, 8159, 3025, 8360, 8045, 630, 1300, 3991, 7440, 8922, 9994, 5774, 5420, 7594, 6609, 3229, 9886, 1396, 5584, 8208, 6849, 5975, 3055, 6394, 9443, 7474, 867, 9154, 982, 168, 9147, 4526, 1384, 6139, 2470, 9463, 1008, 5706, 4482, 2080, 2790, 8781, 3915, 3959, 4107, 2822, 2124, 4272, 6471, 670, 2111, 4848, 7627, 450, 5244, 5229, 4964, 5381, 631, 923, 2771, 7212, 9415, 6079, 5837, 4387, 8253, 1516, 8684, 2571, 7320, 399, 6844, 6437, 7935, 1780, 3031, 3, 766, 1408, 4912, 9175, 8968, 5457, 6696, 367, 1322, 2012, 5030, 6967, 7313, 8391, 7307, 9745, 3360, 9109, 4732, 2776, 8638, 6261, 2171, 4322, 3900, 832, 6504, 2555, 5537, 9989, 8600, 280, 3631, 5207, 2853, 8963, 5441, 9591, 8138, 5334, 836, 1087, 1828, 2130, 9697, 6827, 2992, 7102, 9476, 2928, 913, 7828, 6472, 9409, 7018, 602, 4037, 7898, 5572, 7150, 2977, 8470, 3128, 3118, 4904, 4508, 8056, 2869, 1571, 6293, 5122, 6031, 985, 7397, 1867, 5270, 8392, 1122, 1953, 5822, 9058, 607, 3553, 5758, 2053, 6023, 6873, 7071, 534, 5880, 2685, 9554, 2937, 6536, 7024, 9664, 6102, 407, 3533, 8697, 8931, 1669, 8148, 4220, 5928, 2821, 9185, 3269, 5805, 3135, 1128, 9649, 376, 7671, 7441, 3474, 7479, 6258, 4259, 8071, 371, 8919, 3578, 4328, 6422, 843, 5958, 5731, 8720, 6379, 435, 1930, 8529, 1224, 1059, 9049, 5508, 9881, 4983, 601, 6080, 9189, 8310, 3926, 6684, 9966, 2929, 891, 6277, 9368, 5082, 5019, 6779, 3867, 969, 2449, 9840, 877, 3166, 8597, 5114, 4834, 4205, 3106, 5530, 9372, 430, 8888, 914, 2177, 7476, 1972, 8841, 4562, 2154, 8280, 3017, 9825, 4109, 7384, 8306, 7641, 5227, 3932, 7418, 320, 3401, 4146, 8295, 2617, 662, 9644, 6156, 481, 8068, 9026, 1671, 6287, 3608, 4908, 3840, 687, 4860, 2302, 810, 4514, 5772, 3584, 9269, 8311, 5922, 7717, 3350, 8965, 1422, 5888, 9230, 5503, 5365, 552, 7142, 5246, 5932, 131, 2777, 9236, 3044, 9750, 9923, 1398, 3363, 2556, 7651, 5321, 2944, 6428, 4742, 3479, 9598, 7553, 2103, 4636, 1160, 7480, 6492, 722, 6216, 3788, 6385, 2559, 1048, 3598, 1170, 5611, 3972, 7270, 5387, 6204, 624, 3928, 9713, 2962, 1044, 3294, 1356, 1176, 70, 2316, 7907, 2017, 9963, 6168, 7119, 1272, 9351, 6076, 2495, 2485, 5821, 5969, 4069, 9222, 4698, 2192, 7993, 1687, 9778, 8769, 1369, 3172, 4286, 2936, 7055, 4536, 6248, 5322, 6499, 9894, 1428, 5941, 614, 3271, 1778, 4424, 483, 4129, 5817, 7782, 9773, 2241, 8677, 7983, 1626, 652, 6676, 9279, 6743, 5228, 5296, 3790, 1755, 8042, 9053, 2062, 7350, 4099, 214, 7726, 9661, 6949, 3262, 190, 8095, 5438, 1023, 8847, 7145, 796, 1470, 4293, 3372, 4903, 3880, 1011, 433, 2460, 3528, 2086, 1191, 9455, 4842, 2915, 7309, 3960, 6468, 9744, 2096, 2148, 4361, 4233, 6633, 3247, 6171, 7277, 4325, 6540, 905, 9748, 5871, 5751, 4718, 3596, 12, 2499, 6017, 7224, 2887, 9131, 5986, 906, 7781, 9290, 8839, 8243, 696, 9496, 7740, 4464, 8461, 7430, 8964, 1375, 9417, 3320, 3123, 5379, 5214, 7622, 9859, 761, 2896, 318, 6143, 4181, 5033, 9233, 838, 4126, 5861, 5178, 7222, 8932, 2990, 3485, 5384, 4231, 401, 5594, 2479, 6461, 4883, 6325, 6297, 4053, 2043, 7502, 2002, 7810, 8592, 8928, 8955, 826, 9522, 480, 3568, 6990, 9094, 6732, 5199, 286, 8951, 6668, 396, 8256, 3478, 6145, 7173, 8242, 8731, 8971, 2266, 8211, 7985, 5134, 2592, 7095, 4881, 538, 161, 6529, 9379, 8221, 2094, 1096, 6924, 8918, 3735, 156, 2067, 4829, 6887, 6348, 856, 1797, 9314, 82, 438, 9653, 1142, 2890, 7941, 1944, 2366, 1637, 8868, 3745, 7639, 4556, 6621, 9292, 7539, 9931, 8364, 9448, 3894, 8651, 1217, 1822, 9690, 5162, 1218, 9217, 9442, 3274, 8996, 9700, 8673, 7637, 7856, 9186, 723, 8577, 2690, 6705, 6053, 6402, 6055, 1664, 9516, 5195, 1625, 5501, 3062, 2382, 9159, 7144, 9536, 1597, 1910, 2033, 2783, 960, 6403, 2056, 6547, 9486, 2422, 4882, 4817, 8187, 9397, 5220, 789, 5585, 2391, 7747, 4838, 9435, 3541, 359, 3061, 1806, 7581, 4948, 3104, 9523, 4749, 8479, 7049, 6097, 3811, 2375, 2371, 5565, 5675, 7731, 6027, 2825, 5079, 4748, 7360, 3195, 4769, 6229, 750, 8652, 332, 2539, 8908, 1840, 9952, 4344, 575, 1290, 4566, 2934, 6597, 8136, 5578, 6160, 194, 7063, 787, 8983, 754, 3664, 2532, 221, 8051, 5623, 5498, 7682, 2552, 4407, 5029, 1588, 6144, 7264, 7956, 7175, 7369, 9953, 5833, 3839, 8430, 7152, 1306, 8640, 8805, 3892, 203, 1611, 6782, 4479, 7436, 3504, 4662, 2689, 2697, 3705, 5549, 4143, 4704, 8625, 2353, 5484, 6703, 2691, 6042, 1013, 2095, 6670, 1165, 1421, 3982, 6068, 6449, 1075, 8912, 9858, 3847, 1616, 4258, 3302, 422, 9733, 4459, 3725, 2030, 74, 7404, 3380, 3827, 1906, 2661, 6194, 2415, 9471, 8523, 9875, 3115, 5305, 7551, 2741, 5745, 4473, 5586, 7248, 5912, 6723, 7614, 4370, 1456, 8745, 7511, 8453, 1733, 5679, 5622, 6838, 1562, 9451, 3678, 801, 8000, 1653, 1242, 5638, 1819, 1343, 1639, 2041, 3814, 5799, 9352, 276, 112, 6822, 2900, 7075, 7361, 2025, 1731, 4867, 1117, 181, 6535, 2066, 7536, 3544, 8471, 9105, 4027, 6383, 874, 9575, 4431, 5936, 2906, 1273, 7656, 1643, 7391, 1100, 5021, 3697, 3734, 9592, 8456, 8393, 2121, 2221, 6133, 6889, 7953, 8548, 9851, 36, 4600, 4558, 7799, 4664, 5652, 4142, 2477, 7165, 1561, 5172, 270, 1691, 9702, 5284, 1721, 8370, 7597, 6716, 5891, 7339, 4488, 8231, 7207, 1745, 7275, 5902, 9985, 4102, 1262, 3964, 9333, 8784, 3515, 8170, 9730, 4726, 3435, 7546, 7556, 1080, 6207, 9441, 8518, 2149, 3524, 1411, 2957, 3732, 2046, 6098, 1760, 5882, 7676, 2398, 6484, 3179, 3153, 3101, 8307, 8759, 227, 8057, 642, 1178, 501, 8788, 2575, 3324, 4251, 1762, 2492, 4875, 2462, 5205, 869, 8327, 2620, 3886, 1697, 5494, 6230, 3514, 6404, 4013, 8128, 2021, 9027, 3812, 2542, 115, 3700, 9861, 4412, 5319, 4359, 6640, 1228, 3857, 671, 7866, 1703, 5146, 8048, 8806, 7461, 140, 8843, 5061, 7913, 9682, 8649, 5479, 6321, 7271, 530, 5071, 9101, 5593, 7744, 4925, 9289, 8144, 2059, 6913, 3366, 5048, 4402, 4415, 4945, 387, 2209, 1005, 9693, 3492, 2354, 6650, 1404, 2419, 3323, 4489, 4189, 791, 9919, 1769, 2543, 5461, 7950, 9608, 100, 5619, 626, 7327, 2478, 3776, 1875, 5854, 8338, 9103, 6524, 5189, 4243, 5645, 240, 7576, 4303, 5942, 4442, 355, 3891, 6150, 5573, 4927, 1575, 8520, 901, 2360, 3451, 6508, 8422, 3483, 6056, 5992, 3640, 7340, 9229, 4710, 4294, 3600, 32, 6475, 7208, 1098, 2219, 5151, 7198, 9760, 8024, 2813, 7132, 1045, 7631, 5380, 94, 6026, 4563, 3070, 3778, 4669, 3163, 8345, 9145, 2234, 3968, 539, 716, 3278, 248, 774, 7973, 3408, 1446, 3695, 2658, 8974, 9866, 1869, 1600, 3770, 1539, 7342, 928, 2107, 6879, 4554, 7326, 5425, 8683, 8972, 316, 9772, 8915, 7621, 2675, 8081, 6584, 9685, 5013, 4998, 6398, 5485, 1097, 4793, 5198, 8476, 2338, 9270, 1380, 4510, 5917, 1223, 7952, 8819, 9848, 2427, 3426, 3759, 8337, 9176, 2310, 9708, 5437, 1605, 9997, 922, 5473, 767, 3922, 3603, 4567, 7855, 8216, 9510, 4651, 6170, 5005, 6577, 4874, 4014, 180, 9450, 2917, 1149, 6447, 8998, 932, 8080, 3772, 9569, 4321, 8541, 1371, 2403, 1323, 6476, 756, 9165, 2804, 4283, 562, 4873, 7355, 8073, 3184, 4792, 135, 2844, 2381, 2526, 4307, 6793, 6712, 6687, 1102, 9319, 6867, 7960, 1976, 4035, 136, 1040, 8510, 9308, 6594, 287, 3376, 710, 2633, 7484, 4297, 5949, 6966, 3566, 4200, 8262, 8712, 8022, 511, 9332, 5478, 7456, 3836, 1308, 3781, 2023, 4224, 3953, 1022, 4966, 443, 6683, 6257, 9527, 3108, 8151, 7158, 9541, 8743, 7475, 1764, 3019, 1430, 1157, 1069, 5899, 8958, 7525, 3095, 8579, 4022, 1963, 4691, 1994, 5915, 5698, 2857, 6462, 2759, 1164, 9106, 6634, 2394, 7381, 6819, 7588, 3572, 1174, 8777, 4644, 679, 9943, 4282, 3248, 3858, 2930, 7615, 2444, 1767, 4734, 2117, 5946, 2743, 7457, 4646, 1195, 1610, 720, 844, 2256, 5253, 5036, 6981, 3643, 9016, 4972, 1320, 7819, 4288, 351, 1601, 6104, 5699, 636, 4544, 6790, 2065, 3986, 1449, 2611, 2519, 7905, 7642, 2643, 2956, 590, 5961, 3321, 5235, 9265, 6490, 8903, 7022, 3130, 8982, 4971, 8921, 4393, 3245, 1583, 6151, 6576, 6869, 5538, 8019, 7037, 4002, 2926, 6414, 5104, 8348, 6307, 5141, 2261, 2623, 1214, 8204, 1225, 3140, 2113, 2215, 903, 9564, 9202, 8174, 8091, 5686, 8881, 5685, 2362, 5742, 7807, 1024, 4985, 8271, 7967, 686, 1425, 6482, 4785, 3698, 5444, 7900, 6520, 568, 1377, 1535, 8746, 8377, 8384, 1991, 726, 8451, 5798, 5320, 5664, 6768, 6034, 618, 2134, 6922, 2721, 7482, 9393, 4521, 5684, 1856, 6718, 7850, 9234, 2439, 2920, 7121, 685, 4210, 5099, 3854, 9847, 7365, 8584, 6007, 6232, 7705, 9502, 7505, 6309, 4515, 5066, 2393, 1858, 302, 237, 5648, 513, 3109, 2211, 1464, 4967, 4188, 9281, 5291, 9738, 5085, 8287, 324, 8539, 1328, 2112, 8366, 616, 3536, 3327, 5389, 6435, 9129, 165, 98, 8655, 8894, 2594, 9782, 3764, 8018, 2787, 5419, 4373, 6974, 8156, 5337, 5643, 9819, 2166, 9800, 6059, 7835, 6192, 3593, 879, 1582, 7792, 2882, 6811, 6647, 7453, 6417, 7306, 6805, 3821, 41, 2868, 3181, 3289, 942, 3301, 497, 3333, 6361, 3645, 9915, 1736, 2078, 3288, 2245, 9429, 1448, 472, 8540, 8162, 2682, 660, 4326, 7489, 1566, 2464, 7255, 1385, 6399, 3352, 2546, 2279, 7964, 8438, 1979, 1836, 9487, 1363, 5329, 9456, 1438, 4739, 125, 8493, 6572, 5233, 3893, 3520, 7105, 9611, 2257, 4433, 3502, 3805, 7934, 4596, 1846, 3497, 4619, 4715, 67, 1754, 8527, 3632, 5960, 1120, 7323, 9424, 1426, 3969, 5424, 3739, 8850, 3701, 9252, 7874, 6047, 2445, 2983, 1110, 5639, 9183, 4187, 107, 1334, 155, 9048, 3063, 8499, 5292, 8141, 8126, 4721, 4385, 4937, 4579, 6, 3537, 323, 8960, 1140, 1019, 63, 1230, 5051, 5035, 7388, 4315, 8390, 5123, 9811, 7093, 6898, 5259, 3924, 3399, 4560, 4358, 4753, 9013, 9594, 1923, 3460, 4368, 6965, 2974, 7612, 247, 5818, 283, 2131, 5201, 5950, 7607, 4311, 2999, 2774, 9068, 1534, 1114, 1181, 5072, 3411, 4279, 1127, 542, 2092, 9210, 9273, 1982, 8738, 694, 6246, 9798, 4573, 6807, 8411, 1416, 5682, 2898, 9307, 8436, 2558, 5856, 8125, 9057, 2734, 2039, 4818, 8165, 8396, 4047, 1207, 7427, 5590, 8233, 3768, 7721, 5255, 7554, 7919, 8343, 6928, 4899, 4073, 1125, 8734, 1810, 2057, 6353, 8072, 1642, 9323, 3583, 4782, 6799, 2480, 2, 7499, 4775, 1728, 819, 9096, 1499, 9551, 9296, 6539, 9932, 3575, 1212, 3921, 5107, 1817, 6470, 1522, 4902, 9227, 1362, 2941, 3154, 9941, 4123, 7831, 9384, 3015, 1723, 4401, 4209, 6877, 4735, 9816, 2355, 7494, 8222, 2251, 9613, 9878, 9201, 1781, 7302, 1063, 2423, 2893, 9667, 1663, 9239, 804, 1917, 4158, 8179, 3644, 8083, 6345, 8130, 852, 4003, 6690, 1288, 983, 9432, 9556, 7718, 1938, 186, 1021, 5318, 4659, 6280, 5779, 192, 2441, 3905, 7120, 9548, 3194, 1962, 759, 994, 3472, 1529, 8834, 9680, 1990, 8315, 2954, 2404, 5602, 3415, 9727, 3634, 7107, 8155, 5972, 3344, 5435, 7442, 8514, 2424, 8246, 5491, 9796, 7167, 9127, 9385, 1956, 9665, 6892, 7805, 3871, 813, 784, 2652, 7988, 673, 6978, 5670, 1779, 2648, 5793, 8571, 1108, 1400, 6802, 7127, 3170, 7473, 8261, 3309, 424, 45, 744, 2595, 7374, 4280, 6222, 7429, 5840, 1614, 8399, 9908, 3005, 8675, 4744, 1709, 2761, 1405, 9577, 7415, 4115, 5582, 2998, 1948, 1786, 6487, 5428, 3280, 3943, 795, 1812, 1730, 7955, 5159, 1208, 106, 8937, 4135, 5414, 7346, 3185 ], [ 494, 1930, 5616, 5973, 7911, 1480, 3237, 4305, 321, 6467, 8087, 1791, 3373, 7491, 1976, 1055, 5785, 2563, 2882, 5952, 1379, 2825, 1326, 2197, 9212, 1989, 7368, 7715, 4992, 6989, 4018, 2583, 1578, 2139, 4095, 4333, 4511, 2291, 4895, 5098, 748, 7216, 9253, 3625, 9703, 4501, 5294, 6296, 2162, 4855, 825, 2119, 7411, 238, 5892, 572, 967, 4597, 4568, 896, 7027, 9798, 8926, 5269, 3965, 3672, 4542, 9894, 3422, 2108, 4406, 1970, 8470, 1044, 8950, 5669, 2936, 1988, 7493, 3680, 3721, 4984, 8460, 20, 220, 3118, 4679, 9276, 8436, 6709, 8294, 5313, 6236, 1464, 2717, 3812, 3883, 4475, 8782, 9312, 2192, 2805, 5421, 1037, 6536, 4555, 7073, 5908, 8829, 591, 6406, 6834, 4859, 2382, 1363, 2976, 5170, 3316, 7190, 2582, 9484, 3168, 9239, 9351, 2449, 4021, 3458, 292, 6052, 8278, 1053, 5301, 5740, 7227, 8564, 6755, 3452, 8068, 4623, 3419, 2937, 3506, 2981, 7180, 9094, 6943, 9947, 9668, 3038, 9234, 8442, 4886, 3016, 5244, 4955, 5048, 9282, 54, 5384, 4444, 5677, 978, 5814, 6468, 7077, 5778, 6405, 3504, 2832, 1820, 6211, 7975, 6433, 793, 1353, 1104, 8697, 4837, 5549, 4740, 8094, 3370, 5386, 9259, 2777, 2271, 2701, 788, 350, 2989, 2364, 5815, 9381, 6981, 9553, 9338, 1390, 5178, 56, 41, 6141, 9131, 824, 9219, 5797, 2646, 8768, 911, 3681, 1979, 314, 5090, 7434, 3131, 9855, 448, 568, 7221, 4981, 3743, 8224, 8578, 1972, 4905, 7501, 8542, 658, 3500, 9554, 1450, 2687, 8162, 6696, 3569, 8661, 171, 4335, 3617, 9800, 3595, 7379, 4631, 3355, 2305, 4974, 8873, 5775, 475, 3919, 3911, 464, 2274, 2090, 999, 9925, 4109, 8058, 8826, 7946, 6008, 1564, 2094, 4230, 8529, 3024, 7787, 2026, 3621, 5949, 450, 8888, 6127, 5389, 1597, 3662, 3576, 239, 776, 9236, 6057, 4866, 2608, 8983, 3388, 5977, 1430, 3045, 4959, 1476, 9151, 9186, 9263, 9638, 667, 6934, 127, 5510, 1662, 2112, 4125, 1877, 247, 1338, 9209, 2659, 8299, 149, 3157, 7562, 9161, 9780, 8688, 7860, 1278, 3949, 2360, 2058, 9132, 3735, 2844, 7432, 8766, 5291, 4774, 3374, 5987, 4615, 943, 1614, 3436, 4466, 6109, 8434, 9352, 2344, 5770, 6829, 4156, 6780, 5810, 5184, 4687, 8997, 1286, 3358, 4787, 6712, 2962, 5284, 5177, 7824, 8159, 4699, 5683, 430, 5396, 3122, 5165, 2467, 3206, 9903, 3961, 6288, 4802, 8931, 7797, 2050, 5731, 8105, 3192, 8899, 1801, 962, 3986, 5745, 278, 8914, 7175, 5368, 8450, 3399, 4956, 2226, 7446, 7438, 4507, 2440, 9403, 6531, 998, 8009, 5049, 3289, 9988, 2756, 4347, 1168, 6342, 8331, 3580, 607, 8710, 948, 9435, 4339, 661, 2234, 7560, 2457, 5259, 6300, 5470, 4810, 9721, 3267, 6126, 9116, 8704, 3191, 396, 6605, 1851, 4056, 7038, 3093, 7266, 9839, 6706, 1715, 7529, 267, 4185, 9495, 5794, 1735, 176, 5788, 9709, 9810, 2909, 7306, 1422, 8115, 7384, 6293, 2, 482, 5603, 3871, 9167, 8740, 3162, 5089, 6598, 5022, 832, 3575, 2343, 6528, 3430, 5143, 1629, 453, 4293, 6053, 1344, 6179, 7565, 9964, 89, 5403, 3603, 3998, 9953, 491, 566, 3829, 3158, 25, 4486, 2837, 7119, 3083, 1153, 4874, 6762, 9821, 148, 7677, 780, 8521, 5318, 6354, 4891, 2484, 2466, 1795, 3064, 1860, 5458, 9252, 9081, 589, 390, 5236, 3008, 2303, 7387, 4775, 955, 1543, 5877, 1881, 1094, 5935, 1244, 5299, 3937, 8793, 4461, 644, 2051, 417, 1869, 1013, 5594, 4256, 7480, 1113, 1880, 7599, 7010, 1496, 2325, 2847, 6896, 6484, 8860, 3014, 6363, 4025, 2171, 7844, 6986, 7591, 6345, 9091, 7092, 3708, 5970, 1730, 9025, 4942, 596, 2682, 7763, 7036, 2749, 2751, 1726, 7947, 3356, 6282, 2693, 8420, 3051, 1362, 5613, 6906, 5400, 5891, 4315, 7496, 3540, 4713, 3409, 6043, 1528, 1590, 3287, 5738, 118, 888, 4286, 3701, 3528, 1182, 4224, 187, 6400, 8076, 2295, 5615, 4603, 2772, 2256, 4114, 4754, 1129, 7799, 4336, 4619, 6687, 8281, 452, 1158, 5684, 3967, 3848, 3549, 3141, 4808, 4184, 8695, 9162, 9539, 8890, 1302, 7149, 1824, 2618, 7155, 7788, 8639, 2511, 4795, 459, 6554, 5476, 3350, 6322, 5974, 7106, 3412, 6673, 7734, 6595, 1259, 6802, 2651, 8786, 4151, 1163, 4986, 6068, 6856, 3037, 2329, 5208, 1679, 4146, 8838, 8141, 1994, 391, 7924, 6005, 1986, 166, 4870, 2992, 9649, 4041, 3427, 9144, 84, 9584, 5958, 3434, 8543, 3273, 3121, 8712, 3973, 9706, 9622, 604, 9125, 4513, 5124, 2179, 1922, 4832, 7191, 733, 8081, 6511, 9568, 4102, 7745, 3932, 9051, 4302, 7577, 1215, 8756, 6779, 2320, 1775, 8181, 9150, 7588, 9682, 3676, 7337, 4967, 1621, 8114, 427, 2982, 8217, 8948, 2042, 4788, 8417, 3408, 3362, 6698, 7309, 9269, 7475, 4729, 7181, 8126, 392, 1852, 7810, 1800, 4273, 6160, 2037, 6226, 1029, 6367, 7154, 5622, 6982, 7394, 8830, 3897, 1592, 5631, 1320, 7457, 8356, 4863, 4881, 6034, 7818, 9284, 8905, 9089, 1090, 3551, 2173, 8381, 7124, 6431, 47, 6435, 2718, 8508, 5349, 4987, 1339, 928, 3435, 6168, 9104, 8669, 5916, 768, 628, 5264, 6374, 2122, 8013, 6078, 97, 2611, 8956, 2630, 2867, 9191, 7321, 6063, 1950, 4831, 5219, 2684, 8843, 2154, 5872, 2828, 5360, 4648, 5545, 8431, 6416, 7601, 1027, 8792, 5884, 2679, 1878, 277, 5739, 5287, 4836, 79, 2560, 8857, 8065, 522, 8586, 736, 2116, 1993, 6756, 4226, 2123, 1973, 1258, 586, 287, 4448, 9705, 2851, 3566, 3059, 3535, 7893, 326, 1288, 9231, 2242, 1695, 4008, 1364, 3108, 5681, 8500, 8376, 3193, 1389, 1477, 9560, 1134, 2477, 4454, 5281, 758, 4638, 5900, 6803, 1399, 2028, 6385, 4127, 6584, 5633, 5704, 4455, 790, 2697, 4934, 4452, 1514, 1905, 4574, 4299, 7691, 3205, 2402, 9397, 7076, 6352, 9781, 1035, 1485, 3545, 5105, 3028, 1566, 6294, 6585, 3272, 8337, 7120, 6073, 777, 8591, 8074, 4374, 446, 2861, 9479, 9203, 7373, 1579, 2875, 5829, 829, 2111, 9809, 809, 2745, 7291, 9637, 2437, 7686, 3663, 7118, 3089, 2228, 4465, 8404, 7575, 7371, 1484, 8156, 9388, 8815, 4117, 6103, 2082, 7832, 2455, 7410, 8566, 8570, 893, 528, 1828, 7743, 6355, 5455, 6785, 8807, 132, 8303, 2223, 4135, 5006, 7473, 7823, 3688, 7698, 3892, 8513, 901, 3314, 4892, 1103, 9294, 2558, 7029, 4780, 6899, 1341, 9619, 9672, 7793, 5737, 6738, 3684, 1445, 2231, 8552, 2007, 4438, 9540, 6521, 1346, 3156, 9355, 1387, 7826, 268, 2233, 5941, 5024, 7974, 6948, 587, 5565, 7489, 4164, 2848, 8619, 6541, 7312, 4390, 174, 9267, 5950, 7836, 3862, 7762, 7284, 7330, 4210, 1798, 8841, 7759, 1310, 8055, 5370, 6809, 8328, 4026, 578, 5609, 348, 6243, 3483, 7914, 6720, 5133, 6568, 9713, 9038, 8949, 5451, 1315, 4271, 2949, 6088, 1217, 6062, 9659, 2723, 1661, 2163, 5855, 367, 5602, 3302, 762, 2184, 2454, 3608, 4360, 4287, 1700, 2357, 4968, 2481, 9108, 9433, 5937, 1098, 2890, 2218, 5492, 9869, 6991, 7450, 4242, 9154, 9270, 5280, 9603, 5323, 9488, 8035, 7684, 1909, 6337, 6185, 7160, 3485, 9782, 2663, 917, 7956, 4341, 7186, 8702, 8518, 9358, 1130, 8385, 3171, 8258, 2075, 5846, 905, 9017, 2426, 7510, 6069, 9550, 7608, 2565, 6795, 7858, 1404, 7872, 4843, 8490, 9490, 6679, 4885, 6790, 9911, 9057, 7408, 3907, 5697, 3635, 4442, 833, 3503, 2339, 9392, 6590, 9165, 4721, 2487, 6540, 3823, 6033, 887, 9857, 1892, 1924, 3876, 7294, 109, 6608, 5226, 885, 8936, 5217, 7336, 6017, 7018, 1885, 306, 806, 9071, 3674, 5364, 3136, 1075, 1780, 2403, 144, 5330, 5847, 1127, 7985, 1395, 5789, 6908, 6804, 6009, 1740, 3924, 2776, 3447, 2358, 55, 7023, 1295, 3925, 2212, 8554, 7906, 8760, 4477, 3493, 197, 1482, 9168, 6830, 8182, 4647, 5781, 5156, 7875, 673, 702, 1707, 3888, 5746, 865, 246, 7435, 4331, 5312, 2576, 6941, 2871, 4961, 1844, 6193, 317, 9675, 3248, 1239, 6954, 8772, 9813, 19, 9888, 2216, 592, 6550, 7437, 4849, 3761, 1178, 1567, 2874, 1732, 886, 648, 2530, 5047, 297, 1333, 5588, 461, 5586, 7217, 3782, 5727, 7352, 320, 3822, 907, 6890, 4813, 7626, 1794, 9360, 6474, 8787, 414, 4549, 8192, 6263, 9536, 1975, 11, 8412, 4014, 7623, 2806, 2919, 5052, 6372, 1741, 8953, 5942, 3044, 2519, 6371, 958, 1963, 1540, 3098, 842, 1729, 5595, 436, 8054, 6984, 460, 6027, 9462, 898, 1893, 2895, 8583, 3918, 7815, 7490, 6722, 7128, 5222, 5925, 2988, 7898, 303, 605, 9901, 3640, 2093, 9951, 5819, 6871, 4163, 1781, 8722, 6316, 2506, 6764, 8147, 5054, 2498, 2023, 3747, 2834, 2355, 8574, 6940, 3351, 80, 4786, 750, 1408, 5693, 3420, 927, 4082, 4995, 3652, 1711, 813, 1331, 4423, 1276, 7116, 8996, 8769, 2200, 4050, 1650, 6123, 9982, 1822, 5197, 7754, 530, 3996, 2146, 594, 8304, 3260, 2574, 8581, 1605, 7598, 512, 4913, 7772, 6187, 1335, 8311, 6284, 22, 8614, 3518, 6455, 1160, 7414, 6397, 2831, 659, 7680, 8247, 4941, 316, 7464, 8749, 9229, 5253, 6640, 7026, 664, 2509, 9898, 8919, 6114, 3904, 1359, 4509, 8880, 6503, 4323, 9409, 3026, 9743, 608, 915, 643, 7624, 5261, 4168, 5180, 858, 4530, 6214, 6320, 6328, 4801, 4719, 8713, 6535, 8820, 4544, 1419, 9929, 862, 200, 8503, 714, 7130, 2224, 935, 5199, 4216, 5875, 7151, 1266, 4510, 9607, 654, 4800, 5158, 3755, 8033, 6736, 531, 7983, 2281, 981, 2334, 2096, 9455, 5518, 6937, 855, 4910, 235, 7424, 8501, 9159, 9011, 8643, 4651, 5070, 257, 8680, 5092, 4340, 5337, 7189, 9687, 4538, 7784, 8241, 6376, 8120, 2097, 9307, 7994, 5045, 7984, 8325, 9824, 2301, 2592, 3330, 9093, 7530, 9027, 6534, 4159, 503, 1371, 8028, 8312, 4722, 5824, 9205, 7582, 6770, 8317, 7283, 1179, 120, 7177, 5223, 9106, 5894, 8988, 2678, 7737, 1864, 1030, 5812, 8823, 745, 103, 2025, 8854, 1298, 3049, 5292, 9583, 2296, 7851, 1451, 8789, 3842, 4464, 134, 1664, 7862, 6122, 8234, 4565, 2964, 6439, 4829, 1917, 5515, 1997, 397, 7187, 8004, 2639, 9904, 8204, 9712, 8971, 728, 2788, 739, 8801, 4371, 3591, 445, 3281, 9436, 6095, 4626, 946, 845, 5117, 27, 623, 8378, 8375, 6876, 5653, 3240, 9402, 3974, 8974, 8804, 7838, 2899, 9591, 5982, 4314, 7948, 8602, 8678, 5134, 45, 837, 6449, 2695, 2312, 6190, 6758, 6206, 9875, 8483, 857, 5413, 9102, 7827, 2399, 7546, 3837, 1799, 6248, 6481, 6204, 4972, 1527, 3636, 1336, 1351, 4558, 1296, 3690, 4195, 2665, 4251, 8650, 4704, 2378, 2130, 65, 2696, 785, 290, 3990, 3443, 5308, 1777, 7311, 7045, 7952, 2607, 3922, 5084, 9227, 7474, 9170, 2835, 1009, 2017, 3061, 4247, 4451, 100, 5902, 878, 6933, 4296, 4708, 4593, 3203, 5088, 9525, 8910, 2739, 4562, 342, 7931, 5748, 5382, 1504, 7964, 7035, 72, 4233, 78, 4189, 9145, 6662, 9084, 3671, 6874, 1616, 64, 8463, 4190, 8441, 3616, 3562, 5793, 8455, 5807, 2238, 1170, 5276, 6134, 8965, 5459, 110, 5135, 2201, 8790, 2189, 8507, 2774, 1827, 4958, 6148, 2898, 3941, 3711, 3069, 3901, 2808, 5247, 7561, 7259, 352, 3779, 6011, 8368, 7427, 9599, 6389, 7524, 4318, 1319, 7111, 3803, 3557, 3134, 7117, 230, 2968, 5235, 5153, 5993, 5003, 9860, 8861, 311, 3315, 9305, 9238, 4576, 7918, 3259, 2493, 3304, 8302, 8897, 1357, 3456, 3446, 2471, 368, 3285, 3133, 2494, 2967, 1086, 3490, 7420, 5897, 8940, 6170, 9897, 281, 8419, 6509, 9103, 8638, 4272, 3290, 7704, 6774, 4381, 1569, 5454, 3077, 5852, 3197, 7280, 2288, 4473, 8041, 6592, 849, 8999, 1011, 6155, 1815, 9468, 4581, 8403, 4111, 1643, 6358, 5570, 7041, 4904, 2193, 96, 3486, 7670, 4126, 616, 1897, 2760, 1021, 6032, 2000, 7789, 1017, 4920, 2186, 30, 4298, 2612, 2347, 2249, 2775, 5848, 3971, 564, 4605, 6392, 4407, 4591, 351, 7696, 6329, 6564, 4422, 5525, 5340, 908, 5820, 4879, 203, 7539, 7274, 3363, 2258, 4607, 6609, 1052, 4773, 9836, 116, 5431, 5354, 9262, 8561, 6302, 8494, 5772, 8775, 9313, 9753, 6050, 5679, 6932, 6209, 3218, 8864, 8626, 2878, 8185, 5710, 8265, 1488, 1813, 8001, 3909, 7376, 6152, 7172, 2066, 1092, 8682, 1850, 2728, 7260, 3777, 1198, 2315, 6741, 8647, 6419, 3639, 9451, 6901, 4067, 6552, 9993, 8187, 8527, 4276, 6421, 5316, 6324, 7521, 5192, 9478, 5562, 3236, 1596, 1468, 4411, 874, 9285, 2711, 6719, 5254, 7659, 4308, 6472, 3007, 740, 7459, 1143, 1188, 5112, 5866, 9913, 7780, 7993, 4785, 3817, 35, 325, 1058, 973, 274, 782, 163, 9297, 575, 5801, 3934, 694, 7412, 4212, 4058, 2666, 9778, 6110, 8213, 3775, 2387, 7145, 8223, 1106, 108, 7176, 2702, 7667, 8719, 338, 7548, 1725, 2580, 7211, 8080, 2877, 6485, 8023, 9511, 2335, 8239, 2792, 3719, 5701, 8764, 5034, 2635, 6233, 245, 8805, 4736, 1912, 7183, 7688, 4536, 2495, 9029, 5920, 8505, 2573, 9291, 5437, 3626, 3801, 3266, 9255, 3614, 8891, 2769, 1150, 8951, 9461, 514, 4520, 1689, 6996, 1938, 2598, 6136, 6031, 5714, 7295, 9585, 1845, 3250, 5753, 2418, 3935, 2103, 3839, 2292, 6473, 8635, 9873, 9741, 9412, 2120, 9026, 7878, 1010, 2222, 3916, 1061, 742, 8895, 9135, 8098, 2621, 8796, 1174, 8082, 4923, 5954, 288, 7396, 6666, 7808, 3107, 557, 1678, 1110, 5369, 5590, 8524, 364, 8480, 6728, 8677, 5903, 7654, 6530, 6194, 9020, 1929, 8660, 8047, 9775, 5771, 4096, 5423, 1755, 4999, 9523, 411, 5787, 2661, 5218, 7905 ], [ 2327, 9714, 7046, 1834, 6466, 9671, 4985, 4573, 1119, 8473, 7695, 4369, 8096, 5760, 1811, 3066, 3074, 9249, 4334, 6407, 8969, 3182, 4633, 167, 3607, 4758, 1648, 1361, 5155, 7603, 6733, 3954, 1223, 2575, 1340, 612, 5145, 5395, 9298, 3958, 1727, 5893, 581, 9732, 3110, 3756, 3795, 6496, 363, 6796, 5167, 9605, 7891, 9966, 6987, 8326, 9566, 6594, 6379, 451, 4181, 94, 5690, 8345, 8846, 479, 994, 6153, 2830, 8863, 9777, 9601, 960, 2401, 9444, 1803, 3953, 540, 146, 394, 9616, 4149, 145, 7615, 2703, 7901, 6931, 8761, 5604, 7492, 9985, 1306, 9975, 4570, 3945, 8382, 9878, 9309, 8928, 5071, 3080, 3426, 3811, 3816, 5479, 8432, 2081, 5726, 3906, 9425, 237, 4757, 2080, 5283, 3519, 5605, 1708, 2699, 7664, 3484, 2572, 389, 8989, 7421, 9748, 7150, 5108, 754, 9471, 6615, 9133, 851, 3544, 4613, 8107, 7348, 8250, 335, 9976, 8537, 6318, 8748, 2368, 6035, 9404, 1919, 8246, 2308, 844, 4275, 6475, 4482, 537, 7482, 2791, 7168, 1673, 1843, 3147, 7958, 2460, 9113, 4512, 9899, 7093, 1493, 9181, 3046, 2804, 2254, 5868, 4237, 384, 9534, 1587, 2392, 3734, 2079, 674, 3338, 3488, 244, 1591, 9766, 4167, 302, 8777, 5317, 8119, 8244, 3570, 3532, 3180, 8536, 9998, 2729, 3006, 359, 7746, 1654, 9962, 2113, 401, 7541, 6725, 7484, 7732, 5096, 8832, 5573, 6230, 2505, 6653, 4179, 7462, 2620, 9636, 9735, 1000, 8907, 1330, 3877, 7685, 2924, 744, 2552, 7087, 2761, 7129, 737, 9395, 1391, 9031, 3796, 6711, 2441, 3594, 4548, 7226, 24, 5008, 9700, 649, 3797, 9981, 1996, 393, 1411, 6101, 6715, 9491, 3564, 15, 2321, 2011, 9952, 4686, 1863, 3627, 9067, 8797, 3000, 8151, 319, 1903, 5011, 820, 4807, 69, 6999, 1499, 3831, 9130, 1424, 3732, 5402, 3588, 4142, 2713, 8279, 5885, 7209, 4655, 4745, 6394, 6669, 7215, 8779, 7185, 8010, 4192, 5696, 3855, 4998, 2984, 377, 2817, 7653, 1692, 3499, 2001, 5448, 687, 3760, 807, 3172, 7640, 1253, 6972, 3955, 5956, 5290, 497, 1460, 8980, 2272, 9866, 3610, 6872, 3881, 7113, 1649, 1376, 1285, 330, 513, 216, 2185, 9838, 3522, 757, 1790, 91, 7710, 4366, 2803, 2954, 3903, 2969, 9529, 1024, 9796, 7845, 4319, 6163, 6255, 5686, 3860, 8390, 7257, 7708, 4783, 7363, 5344, 7606, 4115, 7397, 5568, 3947, 2902, 6788, 637, 9555, 7386, 4263, 4683, 5774, 5016, 7465, 783, 3011, 3546, 9052, 6408, 602, 2587, 415, 4561, 794, 5179, 8605, 9109, 6, 6344, 2435, 6456, 1381, 5898, 4076, 7406, 9922, 4571, 1342, 161, 5233, 4725, 8145, 8018, 1305, 7011, 635, 7716, 8061, 4172, 7418, 3496, 766, 8053, 9450, 5032, 9437, 7194, 990, 5061, 409, 2782, 9524, 454, 5381, 892, 6348, 6129, 5674, 6210, 1568, 5536, 473, 1731, 7552, 9382, 505, 9670, 830, 5661, 8211, 4641, 8902, 7604, 2823, 3164, 856, 9485, 3472, 2252, 8168, 6077, 9110, 9427, 6651, 6730, 2933, 9075, 1211, 9136, 2257, 6549, 7430, 2643, 112, 8043, 4046, 7016, 1624, 6939, 8785, 9431, 6983, 7456, 1615, 5350, 8615, 4902, 4825, 3062, 3632, 3902, 4939, 4367, 2811, 1446, 1137, 3087, 9050, 796, 8324, 9736, 4343, 8029, 8906, 9651, 1745, 5837, 8964, 4493, 723, 3658, 6926, 5626, 8621, 6150, 8495, 5965, 3058, 2206, 8091, 1193, 9665, 8184, 6238, 4049, 2883, 9463, 1483, 92, 2102, 8557, 5825, 8597, 4720, 2243, 3828, 3605, 3274, 8079, 7957, 2489, 6246, 2680, 6261, 8237, 2532, 692, 8167, 7849, 1472, 7703, 9817, 2431, 4153, 9176, 3167, 7805, 9575, 5173, 4922, 8523, 5951, 4207, 5725, 7442, 6647, 5979, 1521, 3612, 8318, 5046, 3548, 6494, 8030, 9173, 2415, 2124, 5278, 4219, 8703, 2109, 5500, 6054, 329, 6949, 4174, 7320, 970, 5189, 6403, 7840, 9507, 1956, 3692, 107, 560, 8714, 8962, 9401, 8106, 4552, 5028, 322, 6276, 4177, 4122, 4809, 953, 7192, 510, 3867, 7228, 3525, 7752, 7415, 9439, 432, 5567, 9036, 4023, 8781, 5826, 3401, 9635, 5424, 8008, 8322, 4057, 4268, 4887, 5665, 9332, 2709, 8943, 5410, 4935, 5976, 4123, 6412, 7676, 3746, 3321, 5870, 6522, 2605, 403, 8339, 6373, 2541, 180, 2143, 5939, 2422, 2664, 9126, 6480, 3151, 2156, 1623, 3331, 4909, 7874, 154, 9367, 2685, 6714, 9258, 3806, 492, 7405, 5750, 3864, 9521, 4529, 1082, 6735, 5151, 2606, 4394, 3629, 9314, 895, 8383, 3539, 5220, 8203, 2633, 4663, 7523, 9627, 1238, 2095, 1870, 2049, 2515, 340, 5768, 7656, 5579, 6074, 9892, 4989, 3930, 8323, 9677, 3622, 9441, 2870, 2886, 4338, 6526, 7103, 5619, 3628, 9535, 1826, 5718, 8136, 9182, 8025, 5698, 2264, 2161, 9504, 2555, 4197, 9111, 8354, 9004, 7549, 2089, 4244, 4533, 7594, 5685, 2353, 3579, 2499, 1262, 7910, 6702, 3933, 5258, 1836, 873, 8532, 1508, 5591, 9790, 3886, 404, 1951, 3357, 3843, 8809, 5687, 4027, 8875, 1582, 8347, 3838, 4535, 4066, 1144, 2609, 4410, 6265, 1523, 8178, 6387, 8161, 6864, 7828, 5931, 9648, 881, 8592, 1819, 3896, 444, 6221, 9745, 480, 7559, 3311, 6132, 7006, 4240, 9693, 8124, 4012, 618, 6860, 7360, 2518, 9828, 5445, 5471, 5827, 3787, 8755, 6498, 5944, 7706, 4413, 8866, 5183, 535, 5889, 4196, 2686, 5358, 6556, 8479, 1841, 7750, 5443, 5857, 7070, 2928, 800, 5845, 1952, 3936, 8280, 734, 8387, 4506, 756, 6429, 3976, 1313, 8572, 4450, 8608, 3586, 9802, 8814, 1426, 941, 5430, 3879, 7236, 9725, 869, 894, 7583, 6321, 9883, 4659, 6868, 2843, 6930, 2129, 8132, 7625, 2340, 9852, 2447, 3984, 8892, 7107, 3385, 9411, 8731, 764, 3653, 3138, 2584, 5085, 676, 1906, 9454, 6707, 1987, 5581, 4890, 8560, 7693, 9438, 23, 5246, 4990, 7173, 8952, 8426, 9971, 8391, 8093, 3392, 5707, 9248, 6104, 2056, 9169, 2091, 3846, 1003, 3872, 1618, 2765, 8230, 9577, 1774, 9862, 4148, 821, 4764, 3791, 3144, 1475, 9547, 1466, 4504, 6051, 939, 5862, 2388, 3766, 2942, 9470, 5654, 263, 4007, 4128, 4476, 9065, 3224, 8429, 9820, 6310, 8349, 5263, 2910, 7515, 2038, 6000, 9059, 4093, 3194, 9426, 6121, 588, 6529, 3092, 5550, 9002, 903, 3675, 7619, 6740, 1007, 8993, 1918, 7325, 932, 5791, 3582, 7445, 9812, 8784, 1045, 1222, 2746, 8913, 716, 8466, 1400, 4344, 3394, 2893, 957, 4274, 6907, 6921, 9746, 9371, 6766, 7152, 4712, 5583, 7166, 523, 8085, 3017, 4261, 7318, 4854, 6119, 5712, 1431, 3758, 8245, 9327, 525, 8514, 9661, 7243, 2450, 2363, 7383, 2268, 9589, 6655, 6573, 4727, 8530, 6956, 5457, 1573, 6295, 2259, 8400, 6169, 7343, 483, 6597, 1635, 9574, 2247, 8874, 3875, 7574, 7494, 4456, 8044, 3073, 5535, 9827, 7086, 7342, 1373, 4118, 1639, 4105, 8453, 5109, 7681, 2283, 4771, 4217, 9221, 73, 9325, 332, 1301, 2917, 4738, 294, 1402, 7089, 2799, 344, 8817, 7712, 9515, 9598, 7472, 7286, 3283, 1132, 2846, 4036, 3431, 2668, 5901, 229, 439, 3366, 1481, 3799, 8215, 1218, 9413, 1696, 2225, 6823, 8016, 2275, 8511, 8848, 3256, 5099, 5906, 7206, 5996, 709, 3470, 1785, 7345, 3312, 9918, 9617, 3041, 4856, 6124, 2151, 5671, 4396, 6617, 7551, 511, 8236, 3145, 5823, 2577, 4857, 2966, 33, 4873, 6636, 1805, 8925, 362, 9303, 9074, 5407, 6997, 6049, 61, 8150, 6657, 9112, 428, 8628, 9618, 1894, 5383, 8584, 5245, 4806, 584, 2904, 5289, 5387, 7543, 328, 4348, 2006, 9608, 3977, 3498, 7453, 6249, 8283, 695, 8243, 1131, 1825, 3393, 9508, 4309, 1652, 1123, 8852, 801, 3210, 5074, 3040, 8388, 5620, 7850, 4039, 9445, 5813, 8689, 4929, 7307, 6727, 4652, 2853, 4092, 7613, 2517, 6646, 8357, 3994, 5585, 2540, 4362, 221, 9502, 4262, 4502, 3407, 8776, 4767, 3387, 1927, 465, 5210, 6553, 9594, 9481, 880, 1759, 4976, 4656, 7781, 7935, 7197, 5039, 9548, 8747, 3213, 4467, 9580, 3377, 2836, 6916, 4732, 9578, 7048, 7230, 2293, 6314, 4201, 4595, 1934, 7512, 264, 9544, 6241, 1705, 1063, 223, 7579, 6208, 5298, 5971, 2845, 6242, 1762, 5967, 1412, 5051, 6922, 9041, 2416, 4875, 1763, 4983, 9968, 7423, 5640, 502, 8659, 2694, 5286, 6974, 4202, 5564, 4434, 642, 7100, 5475, 1584, 6478, 5709, 1983, 3096, 471, 6700, 5503, 2204, 2152, 8276, 137, 6272, 4241, 541, 7162, 8771, 1817, 1498, 8819, 7580, 5887, 6112, 8916, 9383, 965, 8336, 1764, 8330, 1121, 9935, 9140, 441, 4178, 3346, 976, 8998, 3076, 5890, 7682, 6228, 2787, 3042, 3462, 8166, 4877, 7927, 3815, 5040, 9190, 7333, 7779, 2754, 9206, 9610, 1368, 4484, 6289, 5438, 9379, 2169, 1706, 5856, 8409, 5207, 1634, 2637, 4392, 6384, 812, 7777, 9526, 6026, 2019, 2282, 6426, 7979, 9345, 7057, 5348, 6113, 2165, 2735, 2622, 6642, 8252, 3397, 4537, 5853, 5456, 9014, 9254, 8744, 7299, 5782, 4528, 1020, 6760, 9280, 5311, 5126, 8170, 360, 9086, 5238, 1138, 4288, 1192, 7385, 8872, 2715, 3645, 1546, 3128, 6582, 7806, 7137, 7239, 7887, 6244, 871, 379, 532, 258, 4234, 670, 3339, 7495, 8424, 4717, 7268, 5643, 400, 6151, 3104, 3364, 7527, 2306, 4107, 3349, 2631, 8037, 3389, 191, 5873, 8386, 7000, 8544, 4459, 7488, 2965, 4435, 5940, 43, 3940, 6547, 2425, 5663, 4677, 1462, 4672, 343, 3195, 5417, 1089, 4940, 7069, 2516, 4458, 4232, 4645, 4625, 7020, 4957, 3908, 5027, 2858, 4668, 8632, 6278, 7962, 860, 5601, 7602, 9442, 1871, 7855, 1247, 8407, 7590, 3117, 8297, 6580, 7867, 2409, 7622, 5905, 2884, 1829, 9331, 5036, 4949, 5234, 519, 5936, 8585, 7916, 2945, 381, 138, 9978, 204, 5474, 1874, 9137, 8887, 9879, 6307, 2383, 7678, 3776, 2400, 9727, 226, 3583, 353, 7584, 5365, 4419, 7773, 4120, 6340, 9917, 3003, 1078, 3306, 6172, 6776, 9062, 2850, 1427, 3115, 6375, 6561, 7358, 9853, 228, 1830, 5802, 8200, 3200, 9957, 7607, 9195, 2561, 1992, 6753, 6490, 6842, 7261, 4933, 6007, 934, 6445, 59, 7158, 6832, 2419, 2706, 6060, 1165, 5414, 599, 8214, 5066, 8693, 950, 6838, 1268, 6744, 3043, 3772, 5528, 9467, 4960, 1526, 4674, 634, 5196, 8934, 9815, 6501, 9391, 1875, 6256, 1544, 6875, 7764, 2497, 9708, 3132, 5546, 1503, 7884, 3257, 7109, 3099, 380, 5497, 3457, 3019, 106, 784, 2074, 4206, 7361, 8556, 3943, 8011, 13, 6383, 6978, 9556, 7047, 2448, 2674, 5315, 7302, 7967, 515, 2929, 1048, 7658, 9257, 8289, 9070, 8877, 8373, 2785, 8334, 1895, 5212, 1754, 6544, 6441, 7925, 3114, 4283, 7440, 9373, 1155, 8685, 9063, 9763, 3432, 3995, 7095, 803, 8353, 779, 4578, 1233, 9588, 7481, 3135, 3729, 4790, 3808, 9408, 6593, 4143, 3654, 7013, 9943, 6500, 5007, 8157, 6977, 2323, 5488, 516, 2202, 9044, 4004, 4113, 5928, 4330, 1931, 3786, 5968, 2827, 2110, 4971, 4664, 2947, 5466, 7250, 726, 358, 5274, 5758, 7800, 8461, 6048, 3444, 8127, 9630, 2377, 6920, 8459, 3378, 5409, 2920, 1081, 7179, 4405, 8277, 5033, 5175, 4054, 5091, 6260, 4042, 3606, 9921, 6882, 3926, 2778, 7498, 4789, 765, 2150, 7821, 4564, 243, 6579, 8423, 992, 7244, 836, 3219, 5764, 3520, 1382, 8286, 1280, 5621, 9339, 2950, 7338, 9740, 495, 571, 9847, 4101, 988, 8263, 424, 2137, 8849, 6205, 3847, 3320, 456, 2114, 8987, 5989, 7812, 2613, 6959, 6092, 2856, 3068, 1200, 1213, 1453, 996, 131, 7061, 1159, 3887, 4033, 5164, 9779, 1474, 2961, 1622, 3703, 9744, 1294, 2277, 407, 4682, 2762, 3533, 8699, 6626, 3762, 5582, 6847, 2763, 478, 5521, 4527, 5589, 7133, 1149, 4669, 5879, 6227, 4550, 1594, 8516, 6471, 9030, 3951, 8487, 6138, 7143, 4398, 5792, 7467, 6133, 222, 5912, 2720, 95, 126, 3070, 3832, 1792, 1380, 1915, 5762, 1840, 201, 2142, 2128, 5978, 1782, 6037, 1645, 8123, 2141, 9970, 2490, 6409, 9377, 4697, 4260, 899, 8894, 4643, 6428, 8961, 6368, 3765, 5795, 9088, 9733, 3810, 852, 301, 1033, 1537, 2738, 4162, 6067, 8967, 9049, 923, 3959, 9008, 4311, 5181, 3071, 8812, 3874, 6750, 6452, 4760, 8316, 2975, 3578, 921, 538, 7081, 8741, 1716, 7051, 4737, 6044, 1240, 889, 4751, 435, 517, 8140, 5487, 7748, 2412, 1657, 1733, 2681, 5618, 7785, 4636, 4691, 8133, 5863, 1394, 6061, 5434, 8389, 2821, 8954, 4630, 2959, 282, 5692, 6817, 5346, 554, 8653, 6366, 1948, 225, 2670, 8806, 2971, 9497, 6827, 5831, 3707, 5015, 3807, 7971, 9944, 6557, 286, 3521, 9180, 6444, 1005, 3827, 9122, 2912, 1133, 7829, 4155, 102, 3091, 1739, 9047, 984, 4569, 872, 552, 6076, 4838, 1702, 8831, 2099, 2562, 9546, 3509, 6461, 5228, 5514, 6462, 2855, 5302, 26, 3247, 3463, 8589, 1284, 627, 9374, 8231, 408, 5491, 1062, 3308, 4022, 7939, 5282, 697, 6970, 3333, 9419, 971, 6115, 7078, 5933, 2386, 9861, 4906, 7132, 6661, 2309, 983, 1046, 7231, 1060, 4557, 6543, 413, 9826, 2336, 6184, 4620, 6734, 4828, 4903, 4013, 4616, 3638, 620, 6142, 9799, 2417, 7159, 6341, 9920, 1065, 8942, 3866, 5841, 6718, 8966, 4608, 2757, 660, 5150, 4485, 2183, 4377, 6339, 1410, 4429, 6513, 8599, 9833, 9201, 1367, 2997, 6218, 4469, 7888, 9940, 6805, 9492, 434, 7315, 3022, 3571, 681, 7578, 416, 1210, 7556, 9579, 9256, 7587, 7477, 6315, 3694, 732, 2220, 3736, 2642, 3252, 5215, 6097, 2245, 2602, 5120, 4566, 8534, 8853, 7381, 4301, 8670, 8577, 2302, 4445, 9215, 1769, 3404, 7033, 4741, 6883, 9717, 9517, 3153, 9551, 5990, 6624, 9868, 3865, 8651, 3767, 7589, 1406, 9754, 3359 ], [ 877, 724, 4768, 8700, 8392, 5182, 2262, 1311, 4799, 3142, 5773, 9686, 6215, 7534, 9040, 3322, 6164, 8753, 9456, 2069, 9304, 5079, 9845, 2987, 2675, 1097, 3727, 8103, 1990, 7401, 3712, 8728, 9819, 4147, 4498, 39, 2938, 3015, 1444, 9737, 7778, 6120, 53, 1489, 12, 7940, 6182, 4051, 4618, 6581, 4946, 5777, 929, 8164, 6708, 912, 179, 5038, 4705, 8711, 1552, 4176, 2337, 8179, 705, 349, 5860, 5834, 234, 1308, 1321, 3478, 5240, 8828, 3065, 339, 8084, 5453, 9058, 8019, 1667, 9189, 9483, 4294, 3700, 4204, 547, 7444, 3113, 4277, 8692, 2076, 8499, 3979, 4037, 6962, 6280, 1921, 7963, 5304, 7902, 2338, 355, 7917, 9323, 1226, 3929, 6464, 3661, 1865, 5172, 805, 8947, 8251, 3794, 982, 6532, 9871, 991, 1907, 2794, 6240, 5499, 2957, 1385, 9187, 7879, 3384, 1697, 5433, 8539, 3208, 5113, 791, 9586, 1140, 2557, 9334, 3665, 9783, 6885, 1686, 1914, 1164, 2297, 7648, 8985, 2345, 1265, 9567, 3784, 227, 4803, 9595, 1855, 3740, 4449, 3020, 5553, 7122, 6463, 6290, 2148, 7509, 6695, 2125, 1821, 3981, 5983, 5625, 9473, 5063, 7466, 8227, 3511, 124, 2077, 8932, 9932, 3604, 1491, 8836, 9765, 1194, 9797, 6690, 1199, 5004, 539, 486, 9022, 3328, 9429, 5659, 3667, 8208, 4824, 2427, 7499, 1358, 3952, 3286, 9701, 7262, 7641, 4587, 1447, 1273, 7973, 9652, 690, 9069, 9759, 1599, 7094, 5932, 9400, 98, 8791, 3371, 7517, 2299, 6336, 1720, 9760, 9472, 259, 7121, 2230, 987, 487, 3439, 550, 8696, 7353, 2241, 2175, 1085, 1494, 9228, 8092, 458, 5422, 3229, 1437, 5216, 8348, 9945, 839, 2798, 7115, 2263, 9967, 2869, 9518, 5836, 9632, 4332, 9188, 1876, 6911, 1690, 3641, 9198, 4414, 3075, 582, 6897, 545, 6723, 9194, 1538, 3372, 7758, 2269, 9795, 1001, 9115, 3239, 9210, 3060, 6850, 1, 3890, 8576, 3263, 5068, 7645, 4742, 4970, 774, 7617, 641, 2092, 2083, 2486, 7869, 7210, 4609, 1572, 2672, 4035, 2669, 1221, 5339, 7001, 6118, 5190, 8088, 8759, 3375, 7364, 1518, 8272, 9924, 8086, 3298, 6810, 8072, 769, 8612, 4402, 9949, 1354, 7234, 2813, 4129, 248, 1642, 8435, 7839, 6612, 5452, 4266, 5517, 8210, 5706, 5934, 7200, 6517, 3174, 5436, 8590, 9123, 6985, 4898, 3978, 3307, 2527, 1681, 4950, 6303, 6458, 402, 5991, 1847, 4964, 3992, 8994, 6976, 1631, 150, 8504, 3774, 8194, 374, 266, 3353, 6281, 9806, 7669, 6447, 6189, 7761, 3921, 6833, 8476, 7544, 2289, 4264, 9771, 4186, 8443, 7926, 1274, 9016, 3199, 3769, 9767, 9881, 6928, 1583, 6944, 3550, 9171, 9928, 3505, 629, 4980, 8226, 7933, 4932, 8177, 9160, 8129, 5136, 9023, 8673, 6613, 4753, 7837, 4714, 8116, 6469, 8603, 7969, 9530, 5014, 8040, 7398, 2480, 5399, 9080, 129, 7218, 5574, 882, 6378, 6253, 3400, 2279, 7096, 9037, 3585, 8834, 7399, 818, 8320, 455, 2786, 333, 7372, 1072, 7091, 2996, 8664, 1352, 9457, 8285, 9663, 8721, 3513, 6947, 7316, 2571, 9218, 4253, 6266, 1263, 1966, 2057, 7735, 8498, 5708, 51, 6634, 8582, 2491, 164, 9846, 3859, 3265, 6873, 7899, 5592, 8153, 7714, 3421, 6607, 5398, 689, 8163, 8687, 9764, 9139, 6909, 74, 867, 6925, 4526, 6157, 8269, 8437, 4031, 4361, 4388, 7776, 8798, 6542, 7461, 640, 6571, 4481, 7402, 3348, 5391, 9707, 1560, 8990, 9155, 5985, 9711, 8075, 8254, 7066, 1723, 7356, 2285, 8691, 2990, 5086, 850, 3914, 3277, 1122, 4431, 9950, 8979, 2485, 212, 5660, 5275, 3939, 3294, 9410, 8944, 1438, 1530, 9097, 6229, 7449, 8006, 1985, 8046, 3988, 6207, 4124, 156, 5899, 645, 1961, 8169, 1889, 3268, 8630, 1407, 507, 4040, 1571, 2570, 3441, 7644, 8238, 8520, 6862, 3648, 9172, 2905, 4770, 4079, 4943, 3048, 38, 2071, 4908, 1883, 1882, 1796, 2615, 9007, 8558, 7652, 7245, 1722, 8541, 6775, 4978, 6806, 7251, 8173, 4755, 5756, 5485, 1242, 8288, 9997, 864, 1208, 4097, 861, 256, 1532, 4590, 3101, 8050, 6046, 2278, 93, 1770, 7365, 761, 7545, 2815, 1443, 3442, 8855, 8623, 3380, 3705, 3231, 7403, 2994, 8, 6525, 215, 1942, 684, 1647, 2043, 1366, 3813, 2127, 4229, 5784, 9902, 2881, 7102, 6768, 8063, 6257, 9060, 2644, 2496, 4257, 8176, 6697, 1557, 7630, 6854, 5992, 4141, 2024, 2859, 3352, 2842, 6641, 8972, 1982, 5628, 8889, 7538, 1555, 518, 4617, 8433, 7657, 7929, 7104, 9936, 8207, 7366, 8767, 3473, 2159, 3938, 6024, 7892, 1282, 6018, 1224, 7012, 3982, 3987, 6298, 6479, 175, 5527, 7740, 717, 8715, 6604, 7355, 3376, 7835, 4826, 767, 8015, 128, 189, 9179, 2595, 2671, 1940, 1995, 9406, 2901, 6252, 5306, 7050, 5571, 9926, 3154, 8867, 1968, 7665, 7242, 4132, 1257, 4936, 5844, 8569, 4103, 9199, 7125, 7841, 3480, 3912, 913, 9909, 1126, 3695, 9120, 2294, 2014, 1586, 6749, 7359, 5779, 5362, 8918, 1653, 4270, 5867, 3086, 7392, 7702, 4575, 6717, 3406, 5607, 1441, 8911, 1166, 6782, 3834, 2361, 7351, 8146, 9934, 5754, 5648, 5534, 8112, 6975, 8822, 6304, 63, 3271, 1112, 1512, 6811, 3270, 8604, 6914, 9606, 5644, 4629, 902, 5097, 5390, 2098, 6964, 5578, 6357, 4145, 840, 4508, 9359, 7535, 3790, 4325, 5029, 5948, 7701, 7768, 509, 7733, 2407, 1787, 6203, 8763, 1896, 1449, 3469, 1202, 5955, 601, 5352, 3190, 5504, 2009, 7803, 309, 67, 8717, 1529, 9092, 3057, 3972, 854, 8000, 5776, 3209, 1417, 4853, 3368, 2927, 3905, 3161, 1002, 619, 3706, 2078, 1360, 3581, 3369, 7796, 6488, 1490, 755, 3293, 5551, 4468, 8020, 50, 4358, 323, 2191, 4089, 7751, 6713, 1073, 4776, 1771, 1324, 36, 9509, 8049, 2168, 4055, 1267, 1595, 7165, 5911, 1501, 3631, 14, 8751, 1767, 8468, 9196, 3685, 8374, 7572, 7634, 7536, 8729, 6454, 1369, 1423, 2802, 1114, 8267, 365, 2036, 3053, 8706, 2452, 4572, 2018, 7883, 2104, 8640, 624, 9739, 9422, 9275, 8885, 4893, 5205, 8363, 9310, 7263, 6957, 8927, 5012, 2408, 4678, 8298, 9666, 2373, 2181, 5041, 7786, 3106, 4112, 6390, 9912, 4777, 8174, 2714, 5828, 3679, 3657, 8291, 2421, 2482, 9793, 9045, 7569, 6258, 2908, 5072, 5741, 2164, 6391, 3084, 4951, 9662, 1676, 6929, 3699, 6499, 1469, 3072, 4166, 8413, 6680, 7075, 2012, 6058, 8172, 6089, 7400, 4254, 675, 1761, 4820, 904, 5425, 82, 5597, 2205, 8175, 7349, 7354, 1536, 2391, 5227, 7554, 1068, 9119, 5336, 4628, 8464, 1388, 6859, 6659, 9774, 5168, 859, 1606, 9079, 9387, 2039, 4403, 8662, 6010, 7062, 8995, 7866, 7300, 8188, 177, 2567, 3152, 8422, 9283, 9000, 7112, 5658, 5678, 8607, 1838, 626, 686, 1747, 1421, 1038, 2194, 5850, 3613, 9032, 3280, 6837, 1789, 7647, 8444, 7269, 9322, 6482, 1507, 8421, 4357, 2020, 4078, 7136, 6880, 7123, 6813, 4349, 7289, 6166, 1004, 3853, 3036, 9716, 8780, 8981, 8360, 9349, 9006, 3527, 7054, 5554, 2617, 6222, 1264, 1328, 1691, 2629, 4930, 7666, 4472, 1317, 313, 8837, 5682, 8394, 9414, 576, 6826, 7897, 9776, 5972, 9870, 6012, 2726, 5379, 8307, 9750, 2771, 3841, 4068, 843, 6866, 388, 7019, 3572, 3942, 8143, 7881, 5722, 4834, 7296, 5523, 1627, 8783, 3474, 4328, 696, 8646, 3410, 2619, 6398, 3558, 7519, 1766, 9969, 6689, 6202, 7976, 729, 2371, 5882, 4848, 1551, 6912, 2459, 2209, 6065, 7028, 5656, 819, 3278, 5526, 7382, 7755, 4819, 2657, 9877, 5981, 7224, 4707, 8883, 1142, 3915, 9319, 183, 4430, 4661, 5462, 603, 7341, 1428, 1228, 8321, 1522, 2568, 8746, 7760, 6746, 6085, 5262, 4706, 4034, 3344, 9965, 7921, 2623, 6853, 3125, 2341, 5214, 1561, 3094, 8171, 9184, 4337, 8655, 5077, 6631, 1823, 7301, 3854, 4735, 4759, 1349, 2034, 8130, 3023, 8077, 9818, 7196, 8205, 1077, 7249, 9066, 4321, 3577, 3602, 6555, 3235, 1495, 6301, 7443, 8672, 2649, 5946, 5728, 8346, 1095, 3517, 1261, 4439, 650, 9655, 8160, 5529, 5363, 2826, 4091, 1867, 1245, 2060, 6818, 7108, 291, 4137, 8220, 49, 1201, 2820, 88, 1176, 1186, 1206, 8007, 193, 2174, 8482, 3005, 6430, 3301, 4154, 6801, 883, 6081, 2892, 4963, 8937, 6497, 9840, 7738, 1397, 4140, 8642, 5248, 6616, 1177, 4821, 7966, 9989, 8284, 488, 4880, 2822, 526, 9657, 1084, 8362, 9628, 8833, 3623, 3596, 6902, 4491, 4415, 8679, 5357, 5851, 1832, 6684, 3228, 1765, 1671, 485, 2287, 3187, 9977, 6632, 3858, 4304, 1386, 4522, 3715, 6128, 3633, 7032, 8467, 4020, 2579, 9243, 2394, 155, 7334, 3279, 9147, 3884, 8726, 5664, 8694, 4762, 2773, 9582, 6797, 7085, 1698, 9357, 938, 3686, 707, 1486, 5524, 9956, 9723, 2385, 9973, 8439, 1234, 9264, 4851, 210, 781, 4488, 4938, 2420, 691, 383, 334, 9296, 2915, 1628, 5480, 9906, 9101, 3254, 5250, 8042, 4437, 8275, 4373, 6759, 8810, 4676, 7469, 4171, 5058, 3821, 567, 8506, 8396, 6682, 4644, 209, 398, 8067, 9613, 838, 5064, 5494, 9434, 9474, 7868, 8003, 722, 1932, 5186, 2545, 9098, 7328, 9644, 5507, 1219, 2833, 7037, 3123, 4433, 671, 1051, 630, 2503, 4914, 9192, 7547, 520, 8675, 6231, 8774, 1016, 4918, 9096, 1779, 6165, 7783, 4427, 8313, 2405, 1714, 2087, 563, 7198, 6382, 9447, 1524, 9768, 6618, 4389, 6335, 6569, 2322, 8813, 1111, 1108, 3479, 5769, 5673, 1531, 8099, 8489, 2543, 561, 2035, 8620, 5082, 8531, 8398, 7009, 8871, 8108, 9679, 2903, 4282, 1943, 9801, 9991, 4731, 8446, 8110, 7458, 8144, 8844, 2698, 3085, 3891, 170, 5964, 5629, 7558, 3238, 1886, 9562, 7876, 9500, 3541, 6701, 2003, 5307, 4858, 9099, 1611, 6570, 3010, 7877, 3067, 4583, 9494, 8533, 7576, 443, 657, 2549, 5721, 2641, 2115, 4948, 4053, 4290, 1269, 3512, 8401, 6331, 3826, 6665, 3611, 1292, 5020, 7248, 6116, 7592, 1556, 6652, 1998, 3739, 9348, 4889, 2472, 1534, 906, 5296, 4062, 680, 3644, 3241, 6893, 1969, 9719, 7597, 7848, 2365, 5374, 7756, 1783, 6137, 7742, 8803, 75, 3515, 8135, 5237, 4364, 2985, 48, 9274, 2551, 8300, 9158, 9558, 1809, 6745, 6867, 6188, 3249, 6836, 8142, 8708, 8938, 6752, 1680, 7105, 5057, 9843, 4698, 6551, 6892, 5881, 5093, 9694, 1748, 8352, 6217, 8095, 5111, 1251, 9333, 9142, 3770, 1252, 9405, 7058, 1260, 9241, 1405, 8017, 8551, 6015, 7326, 2719, 536, 6900, 853, 7072, 9506, 9054, 7237, 9946, 8190, 817, 6737, 1022, 1933, 7863, 8563, 5736, 7913, 5919, 7638, 7820, 4975, 3898, 2002, 2943, 5110, 4404, 1873, 1808, 6965, 133, 1687, 6410, 5652, 9642, 9134, 5367, 2510, 2983, 68, 6514, 9100, 4860, 8737, 1535, 4384, 5572, 7928, 3642, 2862, 3021, 6510, 8684, 5730, 4685, 5321, 8517, 8059, 2559, 6846, 3844, 8573, 4749, 6072, 8652, 4479, 8492, 9757, 875, 4888, 5803, 7014, 2008, 1713, 6754, 9792, 1900, 2721, 3668, 7455, 8978, 1638, 9385, 6969, 8870, 2236, 4797, 8991, 9658, 4478, 529, 5649, 249, 1230, 3597, 7331, 9980, 7332, 1632, 8270, 83, 3396, 4876, 6993, 712, 3718, 2170, 3713, 4861, 9350, 2100, 3169, 8070, 8915, 6575, 2016, 8528, 2304, 6070, 8750, 5611, 1577, 9157, 7880, 1519, 8858, 2569, 2796, 7292, 8410, 9321, 816, 2946, 1856, 6286, 2750, 1025, 746, 7663, 6793, 7968, 5842, 9078, 6791, 8865, 5606, 6045, 5118, 6676, 8734, 5209, 9166, 7833, 9522, 5556, 4483, 7766, 1365, 4225, 2873, 1926, 9114, 1608, 5799, 5338, 4634, 8736, 9656, 9885, 7728, 2469, 410, 3624, 8427, 9246, 1786, 4324, 250, 9718, 7374, 7126, 6888, 8148, 1842, 6894, 1704, 2147, 2198, 1709, 8840, 7731, 6628, 5243, 2134, 8876, 1575, 153, 279, 423, 293, 6748, 5569, 7214, 5030, 4231, 5331, 2260, 9076, 8762, 2248, 655, 4670, 9368, 2446, 9399, 5729, 1139, 6786, 472, 3789, 8457, 4730, 7718, 910, 253, 2235, 9216, 1049, 6739, 5154, 2795, 6835, 706, 1513, 617, 3025, 1279, 1609, 158, 544, 3166, 5761, 4047, 9273, 9738, 5742, 6154, 2921, 1601, 76, 1574, 272, 6980, 1693, 1120, 6729, 9634, 5293, 4694, 6199, 8920, 3189, 5139, 9369, 2121, 6451, 7960, 9974, 6935, 6686, 7275, 2276, 3670, 9641, 8032, 966, 4567, 721, 8309, 2911, 8232, 6767, 7044, 2852, 4500, 2722, 3600, 683, 7431, 7936, 7053, 9803, 6106, 9565, 5288, 3771, 569, 3398, 3590, 8198, 9315, 3417, 6639, 5, 1187, 5805, 7683, 7265, 665, 2428, 7131, 6312, 3495, 6587, 4622, 8071, 9061, 4896, 9948, 8430, 5144, 2916, 7022, 5416, 632, 5439, 6059, 8216, 6852, 6099, 5786, 2998, 2465, 9545, 9557, 8154, 6576, 3411, 7322, 4982, 7950, 9324, 6267, 28, 9193, 8341, 6171, 9710, 9149, 597, 5324, 8945, 9003, 6019, 4817, 2876, 9287, 8580, 980, 1434, 5945, 4782, 4589, 3574, 2397, 3454, 1500, 2810, 5101, 7067, 4814, 7426, 1372, 4016, 9265, 4944, 4297, 6505, 6942, 2755, 1902, 3214, 8609, 5495, 3482, 1541, 4453, 2546, 9564, 7110, 86, 8667, 4878, 3870, 62, 6656, 1185, 3335, 4901, 8502, 9175, 2314, 4131, 4503, 9028, 521, 3445, 3018, 2980, 4285, 3159, 4965, 5267, 6831, 4316, 4200, 5174, 310, 7375, 9623, 3763, 7404, 5185, 4551, 2438, 3728, 3468, 8562, 944, 3, 9152, 2021, 4441, 6863, 977, 8733, 470, 9024, 2829, 8707, 9835, 974, 656, 3530, 2944, 577, 5816, 4, 937, 8690, 2214, 9872, 3448, 3039, 7425, 5067, 6992, 7205, 4650, 9393, 7941, 5239, 3207, 4463, 5533, 3780, 9955, 3825, 4640, 1619, 1293, 6311, 3183, 3678, 9128, 1316, 5221, 37, 1947, 1760, 3097, 9362, 9376, 3710, 6825, 7982, 496, 9592, 9919, 8850, 3181 ], [ 6437, 6273, 2734, 9667, 233, 6234, 8351, 1899, 8656, 214, 5744, 5225, 3175, 3130, 7252, 5539, 5806, 300, 3217, 3741, 9127, 7861, 8440, 9761, 1322, 7943, 2311, 2157, 8633, 9465, 3805, 2215, 6349, 2816, 3709, 5749, 9549, 6275, 7842, 4194, 997, 1603, 8271, 8235, 7213, 4586, 3027, 4833, 8535, 7990, 1248, 2960, 7518, 3326, 7074, 4446, 2126, 2737, 9009, 4218, 3677, 9983, 9621, 7643, 3119, 1604, 9683, 4003, 8137, 4203, 405, 940, 7002, 3323, 7514, 6343, 8663, 2783, 797, 6025, 6476, 9384, 8901, 2712, 5450, 8089, 8725, 2597, 4979, 7156, 8946, 8594, 2970, 9614, 1059, 7235, 8122, 570, 6177, 5642, 8155, 4329, 3913, 6042, 9217, 2410, 2300, 6415, 6716, 2655, 1091, 7528, 8012, 9095, 8308, 565, 1659, 5147, 8559, 2896, 6250, 9960, 7553, 6162, 4598, 6135, 1949, 7953, 5833, 8515, 6144, 119, 7801, 8406, 3221, 7922, 16, 6425, 7646, 4658, 6704, 3303, 2676, 9520, 5320, 5401, 3243, 194, 699, 3783, 5516, 9814, 7447, 713, 2376, 2537, 7487, 1719, 242, 8399, 8957, 3537, 2640, 5538, 1891, 4563, 7369, 3178, 7024, 5372, 8893, 1806, 4306, 9789, 9498, 3514, 6369, 5076, 1984, 8369, 7996, 5917, 218, 3009, 4136, 7566, 1718, 2973, 4010, 8036, 6029, 1087, 7272, 4006, 373, 3630, 7900, 1749, 2352, 4191, 4505, 7031, 9015, 5322, 213, 5547, 2085, 7753, 6332, 6683, 8031, 9963, 1181, 1862, 5519, 4805, 8022, 8100, 5705, 1147, 5809, 7726, 1440, 2626, 7593, 6107, 3593, 6396, 3383, 9389, 6789, 1093, 5065, 8310, 395, 5839, 4088, 4627, 6386, 8364, 1835, 1752, 5767, 3833, 7825, 111, 7713, 385, 178, 2645, 7222, 4546, 6470, 2604, 2133, 7098, 8262, 8350, 196, 2840, 6305, 6599, 3382, 9602, 3536, 3720, 467, 7203, 1105, 5600, 5647, 5759, 6465, 6650, 2599, 7620, 2488, 6326, 4198, 2888, 2468, 9261, 9650, 87, 7393, 5356, 8546, 6988, 2356, 2807, 1910, 7140, 2512, 3284, 9301, 6814, 7174, 1941, 327, 6611, 5743, 3139, 3143, 924, 5326, 7507, 2864, 3742, 9867, 5883, 6356, 5632, 3899, 2710, 5929, 7429, 4541, 1175, 7555, 6030, 3529, 7674, 1040, 8064, 1235, 7904, 4872, 9755, 4611, 4474, 5960, 6563, 5121, 8743, 5502, 9224, 2372, 7932, 7600, 5552, 2524, 4032, 7138, 2101, 2653, 6420, 8884, 3878, 273, 1602, 1991, 354, 44, 5380, 4547, 438, 2106, 2854, 7679, 2453, 7389, 914, 1026, 4312, 1884, 6507, 2032, 1375, 8627, 9829, 4915, 4462, 9999, 5720, 585, 7847, 693, 1957, 6178, 2991, 2255, 8549, 848, 5342, 4352, 610, 5483, 2474, 4460, 7697, 6968, 3390, 2351, 1683, 185, 4844, 6905, 1636, 3416, 4239, 6413, 3501, 1545, 4864, 3204, 285, 3063, 2479, 6794, 1403, 2578, 925, 6772, 2658, 3233, 4440, 2731, 9841, 900, 3216, 5137, 307, 3975, 2332, 5241, 1414, 2478, 8959, 8868, 9890, 5080, 9138, 6953, 6346, 2977, 6424, 7007, 7723, 8909, 468, 2800, 5763, 6572, 7004, 6022, 3800, 8970, 6262, 8005, 897, 6139, 4365, 5319, 9856, 2070, 7220, 6020, 5624, 3082, 6489, 1839, 5419, 9758, 3637, 4211, 6317, 6913, 6450, 8705, 3584, 891, 8794, 3035, 1102, 5060, 811, 5412, 7949, 5019, 3201, 5053, 1145, 2972, 6297, 3565, 7988, 3849, 2866, 9805, 4043, 4258, 5231, 8745, 5397, 9240, 5204, 3220, 2048, 1916, 3453, 7264, 1118, 2638, 4355, 614, 8456, 5747, 1831, 4100, 6763, 3560, 959, 7568, 2660, 8757, 7909, 5461, 1911, 6619, 4718, 4553, 879, 5702, 2270, 6602, 827, 9541, 501, 1254, 7297, 5463, 7596, 4383, 2190, 7871, 159, 2395, 6771, 5375, 425, 431, 7505, 6781, 751, 2586, 5689, 1180, 7285, 4180, 7090, 2963, 718, 4157, 3459, 6174, 6870, 7, 5732, 1971, 5530, 8472, 7097, 5415, 6610, 815, 2801, 7942, 9984, 3516, 7241, 5880, 207, 9587, 6268, 2914, 2523, 9197, 6254, 9915, 5869, 2290, 5115, 9085, 8471, 2526, 9046, 168, 4085, 141, 5001, 2716, 2265, 9720, 3754, 8545, 8939, 8718, 2732, 1550, 2770, 2554, 2380, 2906, 5557, 4380, 8824, 376, 3615, 8305, 7531, 5376, 4061, 2473, 4991, 1314, 8611, 5962, 4346, 9696, 3733, 7127, 6487, 345, 9816, 9773, 735, 6625, 9581, 3150, 7915, 1034, 5469, 968, 8963, 3917, 1859, 8293, 1945, 3861, 4911, 7003, 5229, 2885, 5010, 2596, 5838, 3245, 6279, 1913, 1125, 1810, 9954, 6558, 2948, 3234, 7819, 7344, 143, 5055, 1802, 6828, 3100, 931, 1858, 5540, 574, 2187, 3510, 8117, 361, 5961, 2677, 7380, 9979, 4052, 6047, 2266, 2138, 4291, 7739, 8078, 7324, 5404, 4303, 6364, 2030, 5361, 6747, 5783, 590, 7705, 2727, 5169, 5969, 9430, 387, 5522, 4750, 4649, 7920, 2872, 9596, 7178, 3177, 1758, 3759, 4175, 3367, 6777, 1457, 5593, 4412, 8758, 5790, 8493, 9631, 1470, 6055, 5484, 4954, 504, 2475, 6963, 4811, 5859, 633, 8202, 3836, 489, 5355, 2501, 2160, 251, 5627, 9222, 493, 2793, 4029, 2863, 5543, 8027, 2955, 5959, 1701, 9460, 4945, 5050, 8069, 7229, 7184, 3425, 5501, 4345, 2117, 6645, 5103, 8228, 9972, 7422, 1633, 8900, 4924, 3251, 5804, 1272, 5157, 8601, 1694, 7977, 315, 5608, 6285, 9625, 4635, 2790, 2414, 1275, 7809, 5128, 7319, 0, 2319, 5895, 9762, 9396, 8600, 9937, 6071, 4215, 7790, 2531, 2999, 2951, 9887, 942, 9688, 9452, 5366, 8287, 9844, 508, 4425, 831, 9306, 3318, 1980, 6516, 7771, 2956, 6080, 4248, 5672, 2088, 3340, 7254, 6815, 366, 5087, 8282, 9277, 4994, 252, 6105, 1290, 5440, 3798, 9640, 4702, 2015, 9626, 9923, 3327, 7724, 6675, 5861, 3852, 7199, 42, 5149, 449, 8448, 3146, 6016, 8101, 5285, 1736, 773, 8645, 8657, 104, 8358, 2059, 1651, 5446, 1236, 4038, 9001, 8180, 700, 7395, 9784, 7476, 6851, 7660, 9516, 9361, 5930, 289, 2504, 4516, 3324, 8475, 7912, 2180, 6232, 6086, 7030, 5206, 5915, 6146, 7675, 9673, 7377, 6877, 442, 2424, 647, 312, 5429, 7084, 708, 9420, 5441, 7937, 2144, 8197, 1807, 3730, 7689, 4222, 2733, 7506, 2145, 206, 8222, 7944, 4847, 5481, 4249, 3666, 8735, 4715, 2520, 2140, 834, 5332, 9995, 6023, 1070, 1655, 298, 9986, 3365, 8636, 7930, 4326, 1270, 9646, 3928, 1565, 6237, 265, 4158, 2359, 5818, 4250, 7452, 6973, 1231, 1115, 3391, 4227, 7433, 2451, 2369, 1502, 7573, 3471, 8681, 4363, 5798, 5921, 6333, 760, 5073, 8929, 4069, 789, 2324, 5295, 1853, 3343, 1742, 9208, 8839, 2918, 9528, 5667, 5508, 7612, 7633, 5695, 5104, 324, 184, 399, 6401, 6960, 3650, 71, 4356, 8138, 1413, 9466, 1553, 3332, 5406, 3601, 8449, 9476, 4170, 7635, 4138, 7164, 3476, 8038, 2280, 9398, 3137, 7719, 3781, 3292, 4614, 6800, 4692, 5252, 4822, 357, 1981, 2692, 7207, 3242, 6865, 208, 9124, 4646, 6677, 4823, 1323, 3494, 5202, 6952, 1598, 2229, 1866, 5465, 1099, 6299, 173, 1816, 2267, 9021, 1117, 6586, 6351, 3211, 6518, 3102, 1066, 2673, 7195, 2476, 4072, 2055, 9143, 9690, 6483, 5830, 8183, 7995, 979, 6721, 2818, 653, 81, 6079, 3078, 9342, 5614, 3599, 4882, 9804, 5018, 4432, 5711, 2940, 5680, 4709, 7857, 2704, 2593, 7817, 5796, 6292, 8002, 870, 3960, 3202, 4379, 6334, 4865, 5256, 6635, 7513, 1377, 8720, 2411, 6393, 34, 4554, 7064, 9293, 4841, 6271, 418, 2753, 9, 1028, 142, 9129, 1756, 1923, 2603, 2767, 3299, 6274, 7571, 5832, 6848, 1478, 7367, 3149, 9223, 6601, 8395, 9639, 9499, 956, 1287, 9939, 3563, 3170, 1665, 4065, 4556, 2900, 710, 7882, 9752, 157, 8555, 2072, 949, 933, 2153, 2528, 2636, 3403, 224, 419, 6649, 7144, 2894, 3196, 6083, 549, 8808, 1890, 9033, 5201, 1640, 7804, 5675, 4791, 8418, 2725, 6442, 3773, 2548, 8668, 9633, 9674, 3819, 9961, 9344, 9316, 125, 4208, 1784, 4766, 7938, 7503, 5580, 2958, 3950, 5752, 5531, 7639, 2824, 9183, 7672, 9042, 8765, 2084, 6703, 1195, 2880, 6545, 6492, 2086, 6381, 1420, 559, 7730, 1409, 8343, 3748, 8314, 6773, 4850, 8976, 4681, 3361, 7655, 9734, 1069, 2346, 2443, 7276, 9942, 9647, 8165, 9785, 1768, 2508, 3655, 8402, 9893, 4531, 6917, 8571, 6149, 9914, 8451, 1630, 6603, 1205, 6946, 463, 2246, 4818, 8509, 5513, 8048, 3056, 3689, 2789, 8128, 9370, 8102, 5131, 6849, 7079, 1256, 1190, 6287, 2624, 1032, 8486, 7388, 2814, 1008, 5130, 8869, 8610, 6668, 3212, 8727, 6995, 3788, 8221, 7986, 4284, 1299, 7293, 4952, 543, 3723, 337, 7253, 5427, 1039, 5325, 4612, 2662, 8973, 6036, 8637, 2841, 8152, 1197, 5966, 3184, 8445, 1846, 372, 8121, 284, 7416, 9443, 3983, 9012, 7391, 7308, 7807, 1797, 6235, 1539, 283, 593, 3165, 9073, 7550, 5657, 2868, 1570, 4701, 6537, 1237, 3999, 6082, 5359, 8045, 9477, 5918, 7885, 6388, 7934, 4173, 115, 8248, 9290, 8491, 6213, 4152, 1458, 3873, 9552, 7287, 8598, 6878, 1967, 3246, 663, 1944, 3682, 3620, 1241, 2073, 972, 3559, 6196, 1699, 1542, 4002, 6923, 9908, 1465, 2535, 4798, 4220, 5560, 4280, 1196, 5871, 6313, 9531, 4104, 4497, 1161, 7141, 4108, 8333, 2210, 6566, 2780, 4592, 3309, 598, 890, 3751, 1712, 4428, 1100, 7965, 7153, 7999, 8960, 3880, 3105, 3477, 6219, 5988, 4395, 4937, 8845, 6125, 6910, 9281, 3360, 477, 8923, 6667, 3140, 8617, 9959, 8903, 3424, 1209, 2404, 2178, 6861, 9905, 3587, 2054, 3467, 3966, 1418, 4632, 7794, 5668, 9288, 8452, 8799, 7649, 8408, 9514, 8118, 1837, 7980, 9851, 3646, 8778, 3542, 9453, 6915, 2406, 9930, 7853, 3752, 4084, 9573, 2328, 9204, 2063, 3714, 1207, 9386, 1962, 9328, 7694, 1019, 3112, 6506, 6671, 4236, 8066, 3687, 631, 4637, 4559, 579, 2413, 369, 9684, 8411, 1710, 9848, 2708, 3850, 9678, 1141, 5059, 9850, 2839, 5923, 5865, 5817, 3288, 4327, 2330, 583, 6186, 5078, 9730, 5334, 1908, 9174, 4695, 5717, 639, 4680, 1162, 8139, 9087, 4418, 4842, 6446, 9609, 1064, 666, 295, 9895, 3264, 1384, 8425, 2107, 1685, 9729, 2879, 1203, 7720, 7049, 1904, 2547, 9889, 7890, 3176, 652, 4601, 4654, 787, 7711, 4675, 9958, 9380, 5645, 6283, 1101, 4134, 8193, 5102, 1172, 6567, 8908, 5309, 3693, 9704, 611, 6270, 1728, 7954, 5116, 6685, 5822, 4693, 9320, 542, 7039, 9185, 1675, 5926, 5496, 7157, 4746, 4928, 7813, 8380, 3523, 3109, 7468, 4761, 3491, 254, 8606, 1848, 3656, 792, 4666, 9811, 6658, 6807, 5854, 52, 9849, 3464, 8519, 1429, 7736, 7068, 6539, 3497, 9994, 8240, 8723, 3697, 4443, 9464, 4894, 375, 5840, 4492, 5646, 5449, 260, 9493, 6821, 6743, 5251, 8538, 7335, 5249, 7271, 5373, 5561, 1717, 6003, 8802, 9056, 6588, 1370, 6422, 2429, 6881, 1156, 8568, 4144, 4436, 4064, 4524, 4907, 9068, 5938, 1682, 727, 4689, 1303, 9787, 7516, 6633, 3428, 2730, 2370, 5922, 4665, 747, 5617, 3386, 7814, 7479, 4193, 4996, 58, 8488, 7340, 2362, 1593, 6176, 9742, 8818, 8438, 3160, 188, 6515, 9501, 7854, 7171, 1452, 6824, 7605, 3395, 5122, 8986, 8021, 4540, 3824, 3295, 9146, 429, 6353, 6159, 7290, 6432, 1080, 2744, 9326, 437, 5636, 2167, 5630, 4480, 8709, 5610, 3230, 2213, 9702, 6399, 3329, 9823, 7327, 3127, 7436, 5268, 7526, 6845, 4359, 5392, 195, 7052, 9791, 4376, 1888, 2860, 5724, 5260, 6380, 9680, 5333, 9751, 101, 4897, 2298, 4295, 3226, 5587, 2838, 6330, 7896, 7991, 4457, 8898, 6362, 6936, 2166, 6726, 9308, 1977, 5444, 3818, 6504, 9794, 1672, 9756, 5913, 4523, 9561, 1415, 2196, 7618, 1148, 3619, 3437, 8256, 9366, 969, 2934, 4426, 9365, 9933, 77, 835, 9034, 7972, 6857, 4784, 2350, 211, 7609, 5442, 1350, 778, 152, 7148, 9213, 8052, 4378, 3802, 3969, 4599, 7859, 5211, 8593, 5623, 1312, 422, 2045, 5388, 3055, 6654, 5123, 4245, 1304, 4917, 6577, 3198, 2237, 8039, 1249, 1074, 4604, 5005, 2442, 117, 2463, 8579, 804, 1637, 7413, 3696, 4884, 5997, 8658, 7282, 5467, 9077, 4769, 8930, 3310, 8264, 909, 2434, 5408, 4119, 7060, 105, 4416, 4594, 9612, 1620, 9695, 5069, 7240, 1658, 7305, 8754, 763, 8616, 8752, 1425, 5541, 8414, 6600, 3347, 9559, 4421, 476, 3555, 8634, 7281, 32, 1517, 6102, 3526, 5213, 8975, 4794, 5634, 2974, 3793, 8158, 5641, 9620, 3745, 5125, 2031, 3893, 2065, 2591, 3894, 8014, 4354, 1157, 4081, 2423, 219, 3737, 6927, 9163, 5493, 6670, 4417, 8773, 8196, 2390, 677, 4763, 6784, 4289, 6094, 759, 4793, 9563, 9279, 4060, 4005, 3568, 9459, 8522, 7709, 2367, 533, 8056, 3910, 1617, 7533, 795, 9363, 6979, 5255, 1042, 3173, 4044, 9543, 2052, 7279, 2135, 3508, 5808, 8034, 4726, 8201, 7223, 1663, 6411, 2887, 2614, 1169, 5257, 8344, 6678, 2926, 8683, 8191, 6822, 6637, 7088, 99, 7692, 1812, 9859, 8698, 5277, 4397, 678, 3379, 6459, 9407, 1255, 5428, 8701, 7448, 7765, 6038, 5242, 3111, 7135, 6546, 6325, 8625, 457, 499, 114, 1814, 2318, 6460, 5888, 3997, 6361, 1937, 7317, 9480, 2656, 7277, 7042, 9486, 9941, 6643, 7981, 4188, 192, 9570, 140, 4071, 5347, 7219, 3258, 8716, 688, 6239, 2688, 2566, 4400, 8881, 2779, 2158, 7894, 8478, 7870, 7233, 5963, 2284, 9107, 7522, 3461, 8109, 2068, 4351, 3704, 5874, 7767, 9593, 305, 4424, 4133, 382, 172, 4199, 122, 9882, 5460, 1327, 3725, 4779, 4582, 3609, 9013, 2456, 7690, 9837, 1109, 646, 2759, 8253, 6434, 6090, 9854, 6808, 9260, 9697, 7727, 9039, 4690, 1152, 9337, 9886, 5849, 2208, 8738, 5161, 5081, 952, 9927, 9864, 5026, 6130, 3227, 3882, 4653, 9244, 3440, 6448, 4183, 31, 7314, 5858, 2525, 2333, 5418 ], [ 6998, 498, 202, 3963, 4098, 5666, 6438, 8816, 562, 7611, 6192, 9643, 1204, 6147, 945, 7082, 1189, 2705, 7008, 5176, 951, 8125, 4045, 6417, 2889, 4723, 682, 3985, 6792, 622, 2634, 4660, 3325, 1184, 4165, 6167, 2654, 5975, 9831, 4350, 2952, 2176, 4743, 7830, 7747, 7439, 9148, 5000, 1383, 1173, 3475, 3004, 7955, 4515, 4292, 3757, 7661, 4385, 6606, 2781, 6004, 2250, 7629, 8904, 5489, 9569, 7142, 1879, 9415, 4070, 85, 4900, 5734, 5435, 8665, 7581, 1612, 7614, 5957, 4868, 8465, 8565, 5377, 3296, 2600, 9055, 3651, 1688, 4073, 1246, 1751, 989, 6951, 2445, 1281, 4517, 9340, 7540, 1510, 9416, 1116, 5699, 1600, 823, 9278, 7202, 6879, 1833, 6508, 7520, 7570, 6323, 2610, 6418, 4916, 8882, 4471, 814, 613, 9571, 4688, 3313, 151, 2564, 9938, 5224, 6855, 2354, 232, 558, 2462, 2522, 7511, 5106, 2907, 7542, 8827, 771, 8935, 2553, 1183, 6200, 4931, 7208, 7417, 9469, 3716, 4150, 3450, 8259, 3785, 9519, 8941, 1015, 8367, 3856, 8654, 8393, 4772, 9611, 1737, 3717, 6757, 4600, 2136, 2366, 3957, 4238, 9421, 2047, 6064, 1554, 6778, 9153, 5650, 308, 841, 1887, 8485, 6440, 386, 9715, 3090, 6319, 1939, 1757, 9513, 5995, 9341, 1669, 6663, 5576, 1958, 6414, 3643, 2273, 8359, 3868, 7651, 8879, 3889, 4812, 8724, 7278, 738, 7757, 1641, 5191, 7451, 3275, 1778, 4700, 5056, 6093, 1670, 5159, 2374, 5943, 5694, 5351, 7616, 9788, 2647, 9676, 2393, 3282, 3989, 6945, 3438, 2601, 198, 7722, 6502, 8273, 600, 8474, 2261, 7409, 8851, 8730, 3034, 920, 4966, 947, 2177, 6245, 5142, 2993, 3319, 5232, 8526, 6918, 919, 370, 2941, 6100, 985, 2217, 5119, 6491, 2342, 9487, 2628, 17, 2690, 5188, 46, 3895, 9117, 5335, 9692, 6247, 6457, 4752, 2149, 8982, 5482, 9772, 7339, 9235, 7843, 954, 6056, 3927, 9423, 2752, 6001, 186, 6338, 336, 5780, 1334, 4130, 9372, 3402, 4534, 4953, 2458, 8405, 7585, 7043, 6308, 2349, 7478, 4781, 7707, 1492, 3647, 6858, 60, 5612, 9600, 3155, 8329, 5563, 506, 4030, 4447, 1343, 1212, 4716, 3345, 8955, 638, 4765, 3225, 9681, 7782, 6195, 8921, 3013, 1433, 6040, 1610, 7798, 2172, 8548, 9475, 5478, 6306, 1955, 6620, 3414, 2747, 7791, 534, 5025, 4639, 4077, 7865, 2529, 3129, 3054, 1589, 9164, 1646, 7537, 7717, 8984, 4386, 7428, 4734, 9118, 5163, 6967, 8292, 3081, 3423, 3261, 7161, 3567, 4969, 3673, 7005, 5509, 199, 6904, 8315, 6131, 2053, 6309, 299, 7080, 884, 2768, 9653, 3148, 2939, 1435, 5719, 2207, 5994, 3722, 2326, 4816, 9900, 8676, 863, 3460, 1547, 548, 8800, 4252, 3255, 1818, 7114, 8073, 5023, 2041, 1297, 5100, 7567, 5662, 8732, 9664, 3185, 5757, 6630, 9266, 8186, 5200, 6990, 3863, 5670, 3556, 2533, 6269, 9424, 3342, 1467, 5896, 8365, 6548, 5075, 3223, 4921, 9747, 7288, 2536, 5297, 1456, 1613, 2313, 6443, 662, 4281, 1329, 2464, 474, 3481, 3538, 4372, 6589, 6161, 8249, 7486, 4739, 2483, 1031, 9512, 5713, 5700, 6638, 1773, 6098, 7729, 7998, 8912, 2013, 4927, 7873, 8338, 3956, 4235, 6751, 7055, 2010, 3731, 217, 3900, 5566, 9289, 6402, 7621, 3669, 5138, 8131, 9211, 2348, 8416, 462, 3749, 2470, 6627, 6841, 7232, 4019, 8596, 4265, 5345, 6520, 6277, 9335, 6839, 6014, 9449, 2979, 4106, 9354, 669, 9842, 8342, 2307, 10, 7908, 6524, 1459, 8296, 3163, 270, 9207, 7923, 3970, 7846, 3553, 8306, 6761, 5835, 2542, 6869, 3337, 847, 5735, 5511, 3980, 8742, 1041, 9272, 3809, 241, 4408, 1776, 8242, 5506, 2286, 8024, 9458, 926, 1047, 4748, 7134, 2492, 4804, 5691, 3664, 8878, 1581, 3418, 426, 786, 4703, 1936, 2022, 2502, 6591, 6495, 9858, 772, 5094, 6961, 1432, 8481, 2650, 3186, 2849, 9724, 6955, 3948, 3738, 868, 7059, 5953, 4684, 3433, 7770, 8199, 9537, 4947, 412, 7564, 4246, 1868, 276, 1954, 3598, 7741, 7769, 4673, 2433, 3649, 5195, 5532, 1283, 5303, 8567, 8968, 1014, 9418, 9786, 5327, 6143, 346, 1337, 9874, 5095, 2707, 2741, 2758, 555, 4048, 331, 3336, 139, 4926, 9660, 6898, 8977, 1793, 8629, 7945, 9731, 2432, 2589, 147, 6041, 6523, 8821, 8060, 4747, 3116, 975, 595, 2742, 5043, 7347, 9884, 8361, 5017, 406, 2219, 8958, 8257, 5127, 2444, 5811, 4997, 2029, 5800, 1978, 4543, 5537, 9105, 5910, 9295, 2195, 5187, 4867, 9931, 1872, 3047, 573, 8340, 719, 4370, 685, 8641, 9533, 2581, 9428, 4487, 4375, 3222, 1347, 4496, 9876, 8219, 6844, 1506, 7889, 5751, 4871, 8847, 8825, 9394, 1576, 4988, 621, 1232, 5341, 1743, 3291, 447, 1318, 9669, 4310, 2930, 1804, 3088, 711, 1461, 5876, 1448, 6843, 5651, 4086, 5512, 6527, 6181, 6111, 8795, 3993, 9510, 280, 3465, 2062, 8332, 2534, 6674, 7725, 4756, 846, 4393, 7470, 5328, 7775, 7628, 3778, 3001, 6220, 7668, 136, 231, 1088, 3920, 4962, 7188, 6091, 8371, 5655, 1083, 9728, 6559, 261, 1356, 2253, 8149, 1724, 7508, 57, 4514, 5114, 2700, 5140, 731, 4368, 8428, 9907, 9496, 1607, 4610, 240, 8835, 1463, 4671, 7323, 4228, 5152, 7255, 9318, 822, 2932, 5542, 6191, 4744, 636, 6583, 606, 7699, 4160, 1525, 2632, 7497, 5723, 5314, 8842, 5637, 4391, 4259, 6681, 5447, 7267, 8631, 1393, 3262, 2865, 6560, 3455, 9689, 18, 7441, 4205, 615, 8370, 1511, 9299, 4015, 7970, 9177, 2436, 1479, 7246, 9053, 4059, 6699, 2539, 5486, 2995, 5385, 9230, 4090, 466, 8266, 9019, 1585, 4213, 9390, 5639, 169, 936, 6493, 3753, 9302, 753, 7631, 6693, 7378, 2132, 3031, 4074, 6691, 269, 6840, 356, 8415, 1291, 3744, 9286, 5002, 4580, 4778, 1946, 5558, 2627, 1442, 9226, 1959, 3466, 7139, 7025, 1454, 1396, 9200, 8377, 5472, 6614, 2513, 810, 135, 3002, 2897, 1965, 2379, 6688, 9698, 5907, 5037, 2550, 1227, 3415, 9156, 1154, 5343, 7673, 341, 9825, 5544, 4320, 4862, 7856, 5909, 7831, 802, 6224, 5270, 5878, 21, 3120, 6002, 4588, 1471, 6574, 8261, 5555, 8189, 236, 730, 8355, 7270, 2588, 7951, 1107, 9615, 304, 2310, 1509, 2203, 2585, 3531, 4161, 3300, 5575, 5148, 3449, 4063, 2239, 6039, 8859, 5305, 1656, 1849, 1096, 6156, 8366, 9830, 255, 1018, 296, 2507, 7193, 8933, 9770, 4214, 9225, 440, 9005, 4489, 5584, 8290, 7959, 1974, 5194, 4792, 3857, 2667, 4993, 9685, 701, 7390, 3052, 3547, 5329, 6958, 8255, 6427, 7065, 7700, 4733, 6705, 7989, 7636, 7637, 9527, 5999, 1935, 775, 6223, 5279, 3851, 6724, 190, 6117, 8229, 1079, 9863, 9996, 1920, 1625, 5468, 1580, 4642, 5146, 8134, 5477, 113, 9364, 1191, 9018, 3702, 4518, 1562, 8260, 2691, 1563, 1788, 9822, 7563, 9699, 668, 5162, 4519, 6021, 8372, 205, 553, 1588, 8547, 527, 262, 8510, 7313, 2317, 9417, 6251, 1861, 2590, 1054, 2544, 2625, 7099, 1128, 9378, 6377, 4667, 1668, 6648, 4835, 609, 5394, 1056, 2514, 1289, 5490, 1167, 9834, 6621, 3931, 6884, 4869, 1436, 8739, 7407, 7627, 2061, 8595, 2689, 2648, 469, 9503, 6096, 4596, 6075, 2766, 7329, 5411, 2857, 1750, 8225, 7744, 9865, 9356, 1497, 1660, 5129, 6816, 2913, 2105, 749, 8497, 7304, 5886, 6158, 6886, 6895, 1348, 160, 6175, 5927, 1023, 5505, 679, 7816, 3691, 725, 1135, 6225, 6359, 7919, 8624, 4221, 1171, 8648, 9346, 371, 2430, 4925, 4585, 4182, 7021, 2724, 9250, 5843, 7610, 7310, 3835, 826, 4255, 1746, 2616, 876, 3552, 4001, 5765, 6798, 3573, 420, 2986, 9330, 7721, 9271, 4080, 6291, 5924, 8195, 1533, 6660, 6395, 9482, 4815, 1626, 6453, 7034, 1703, 7749, 5473, 2182, 8788, 121, 7886, 2131, 2381, 1744, 698, 3543, 8575, 3561, 8922, 1214, 3804, 1277, 4539, 8104, 6006, 3869, 9035, 6578, 2005, 6066, 2331, 9624, 2227, 490, 7671, 8327, 8671, 546, 40, 7483, 4796, 8649, 3126, 7370, 7146, 4579, 1067, 4169, 1136, 9090, 2461, 7502, 8553, 3451, 7811, 9237, 3405, 5272, 9645, 918, 5598, 2925, 3305, 963, 8469, 9597, 7182, 3317, 4420, 6347, 1355, 9083, 8113, 3534, 9769, 8335, 3103, 7170, 3269, 6710, 9749, 9317, 2784, 1307, 7247, 5062, 162, 4382, 2521, 8644, 2812, 7792, 7083, 1738, 7795, 995, 9247, 5596, 318, 3726, 4011, 1345, 8458, 6731, 8319, 5141, 5904, 7662, 4584, 9082, 4300, 7273, 3923, 4099, 7500, 7987, 3968, 7201, 3524, 4657, 3724, 8992, 2736, 9010, 4401, 9141, 2221, 2033, 1439, 9538, 5300, 9604, 2891, 5947, 6692, 922, 3032, 3489, 2740, 2040, 1721, 1151, 5986, 7903, 6180, 1216, 9048, 3502, 9832, 5733, 2067, 6259, 5198, 4409, 1857, 1999, 9572, 4387, 6787, 7071, 1071, 6013, 5271, 9343, 7834, 3554, 1734, 9489, 6140, 2044, 4602, 8686, 8397, 4724, 4919, 6327, 9245, 9576, 6108, 7303, 2652, 6891, 9505, 993, 1753, 1516, 3885, 1012, 1455, 2935, 7454, 5266, 5273, 9726, 2978, 9440, 70, 6623, 930, 3845, 3764, 4313, 6436, 8379, 1684, 181, 4977, 7238, 5703, 1549, 484, 1644, 1854, 5107, 7961, 3030, 5203, 8218, 4490, 9300, 8924, 551, 3297, 770, 2188, 4606, 9178, 8295, 5755, 916, 4353, 5821, 4139, 7298, 8666, 1146, 5031, 2953, 8496, 4269, 3659, 6903, 2251, 3840, 4024, 2743, 8462, 1401, 90, 3334, 4662, 9629, 3962, 5766, 66, 9329, 3750, 3768, 6769, 3592, 6732, 1473, 964, 5980, 433, 6596, 1271, 6212, 2232, 4223, 8301, 4728, 8674, 3964, 6919, 4883, 123, 5420, 799, 4322, 1006, 1220, 2922, 7557, 4009, 8811, 1243, 9880, 5009, 1928, 3660, 5378, 866, 5166, 4209, 7169, 5042, 1325, 6783, 1332, 6889, 6183, 2809, 4278, 8550, 5688, 2199, 5998, 5599, 9121, 7167, 703, 9654, 4710, 9220, 4499, 5520, 9446, 752, 3253, 5393, 7864, 7204, 5171, 2923, 7504, 8097, 3589, 3698, 6672, 6799, 2240, 1416, 8274, 4075, 5635, 5426, 9292, 2398, 1392, 6938, 8477, 9347, 6765, 6742, 7101, 580, 7212, 7258, 6216, 8111, 7357, 7256, 8917, 3814, 3179, 9336, 4912, 8512, 9916, 9691, 4495, 5353, 5498, 5265, 1559, 8057, 5984, 6966, 3792, 9072, 798, 8454, 5044, 7485, 275, 8212, 7774, 6887, 524, 5310, 6519, 8384, 1229, 3413, 6820, 2155, 1960, 1043, 6145, 2683, 6197, 3683, 8525, 1398, 6812, 4545, 3276, 4525, 5559, 651, 9990, 2931, 6533, 5160, 4110, 9448, 3381, 5914, 4083, 9432, 4827, 8618, 6562, 4000, 4342, 6971, 4028, 1505, 9896, 7163, 7687, 8083, 3487, 1309, 1953, 4840, 1964, 4839, 1666, 704, 2538, 5083, 4711, 3232, 6360, 3029, 5715, 741, 9987, 6694, 3944, 4532, 4521, 3012, 7642, 8051, 3618, 9268, 8613, 4470, 986, 8090, 5716, 500, 8026, 808, 7895, 625, 9375, 1225, 8886, 9807, 1057, 6565, 828, 4494, 7632, 6644, 6629, 5193, 1898, 6087, 4094, 2764, 7650, 7586, 271, 2118, 9992, 7040, 4307, 8447, 4187, 9353, 4899, 6538, 9043, 4621, 7978, 2556, 6819, 4560, 3507, 5405, 9542, 7595, 8540, 8484, 1487, 9590, 9910, 3354, 7525, 7362, 1076, 1124, 7852, 2375, 7907, 8206, 182, 1901, 7471, 3244, 3095, 4830, 3991, 165, 4116, 1674, 130, 4017, 961, 1677, 715, 3050, 6404, 3079, 2244, 6173, 556, 1548, 5035, 9532, 5676, 7056, 2027, 5432, 6201, 3341, 3188, 4087, 8268, 3215, 8233, 6924, 2748, 7419, 2004, 4121, 6350, 3830, 7063, 4852, 6664, 6198, 5021, 1925, 8770, 2384, 1772, 5371, 7532, 720, 2396, 5464, 4973, 6423, 2064, 4267, 7460, 6950, 7147, 3492, 4577, 7017, 8587, 8862, 4243, 1036, 3124, 7463, 6622, 6994, 5577, 9064, 6264, 9311, 3820, 9808, 1374, 481, 5132, 5864, 4399, 2594, 9251, 4696, 9722, 2211, 347, 743, 1558, 378, 2500, 6486, 421, 7822, 7802, 672, 6084, 1250, 1520, 1050, 9232, 2046, 2316, 2819, 7350, 4317, 7992, 5638, 8062, 29, 8856, 6477, 8896, 8209, 6512, 3429, 6370, 5548, 9242, 3033, 2439, 2389, 4846, 5230, 9214, 7225, 7015, 9233, 9202, 7346, 5013, 4279, 1515, 9891, 6365, 4845, 4624, 2797, 1300, 1378, 7997, 3634, 8622, 8588, 3946, 6028 ], [ 6839, 1045, 1263, 3654, 2649, 2547, 8107, 2332, 1448, 9440, 6038, 2279, 2930, 322, 455, 5018, 5496, 8781, 2510, 2199, 2371, 9035, 8599, 7703, 3058, 7830, 8410, 802, 3165, 4290, 924, 5246, 595, 2284, 4321, 2101, 4231, 5649, 3431, 8089, 3745, 8109, 1545, 8866, 6997, 3924, 4522, 9998, 4110, 6692, 22, 8843, 4737, 3963, 4046, 136, 5046, 6370, 9516, 2053, 2664, 9967, 2931, 8933, 3787, 1277, 3794, 8897, 1490, 8471, 6804, 9057, 9412, 526, 2443, 333, 1825, 7335, 76, 4630, 6357, 3236, 6218, 7825, 7248, 8250, 2051, 6082, 9036, 9189, 6212, 4120, 1500, 31, 1457, 5406, 3722, 789, 9556, 1484, 6395, 4079, 9318, 7252, 1661, 7179, 7960, 8409, 1940, 9718, 610, 3067, 7080, 4610, 7302, 2054, 6240, 5092, 2, 7506, 5773, 6283, 6202, 7469, 8967, 2505, 8913, 7554, 855, 9459, 1696, 4267, 9263, 8326, 3946, 2654, 5639, 1037, 4044, 6116, 5606, 9337, 2822, 6510, 9332, 4563, 4679, 408, 9551, 4286, 5130, 436, 9932, 8538, 7638, 1504, 1031, 5683, 6756, 9511, 6113, 6416, 4708, 5474, 7438, 1224, 8389, 5284, 9369, 2477, 567, 7726, 29, 234, 2519, 2178, 2622, 7630, 1127, 4070, 4000, 743, 2969, 4592, 6448, 762, 5957, 7382, 5122, 4211, 9654, 3777, 2716, 346, 1768, 8957, 2853, 3047, 4858, 9433, 9989, 901, 9246, 1991, 7764, 3325, 3797, 848, 9550, 2713, 5220, 9143, 4600, 6018, 2875, 5493, 88, 8323, 5829, 6626, 9135, 5438, 8281, 3274, 6325, 4221, 2442, 4378, 5330, 3279, 9887, 7211, 4205, 5380, 8546, 6304, 2305, 3835, 8139, 2818, 9280, 7759, 4944, 7388, 9122, 4991, 2291, 3193, 5049, 6507, 7203, 5048, 4837, 392, 5428, 2881, 7206, 4641, 5269, 1621, 7837, 4469, 5245, 7899, 5489, 8457, 4407, 9234, 5625, 8396, 313, 9756, 6399, 2995, 3251, 1571, 8784, 4040, 6476, 6773, 1697, 6723, 7094, 7257, 3119, 6216, 8733, 3392, 8611, 7811, 8519, 2676, 6268, 1266, 1799, 2246, 4179, 7118, 9579, 1964, 8532, 5288, 3703, 6271, 5989, 180, 9109, 2950, 9262, 9084, 9479, 6545, 9839, 1714, 1700, 1763, 753, 5386, 6482, 7276, 3780, 4934, 5356, 8676, 9323, 2139, 9842, 707, 3256, 7096, 2854, 3404, 1227, 7744, 6901, 4844, 3870, 1435, 4492, 9392, 728, 1229, 2313, 1300, 8235, 9220, 2041, 5605, 6526, 1774, 4381, 4911, 3182, 1853, 2441, 2809, 5529, 7620, 8799, 3785, 786, 385, 9346, 100, 6758, 8297, 2585, 9596, 6235, 3844, 6133, 4633, 644, 7996, 3965, 5204, 8298, 1047, 9481, 2281, 8796, 4293, 1538, 6665, 7372, 7634, 4940, 2546, 5543, 6837, 9024, 8824, 9609, 1635, 2613, 6518, 4722, 8399, 5524, 6612, 5696, 6727, 9193, 6372, 8921, 5327, 2336, 9125, 3904, 6725, 9203, 2200, 1879, 1795, 8046, 6771, 5841, 5333, 3278, 9694, 1036, 2993, 5279, 8242, 3618, 8134, 5471, 3886, 3106, 164, 4861, 5804, 8408, 2873, 1745, 6027, 5198, 6273, 4192, 2481, 3051, 5111, 4678, 9379, 5933, 971, 7736, 1803, 1846, 7662, 6495, 7915, 6086, 1272, 9282, 1531, 2216, 140, 3849, 2707, 638, 1851, 8677, 7059, 2077, 8177, 3635, 1982, 9755, 3718, 645, 9589, 9010, 8036, 4658, 6947, 6132, 3969, 9335, 5038, 9795, 893, 9411, 3868, 449, 4289, 9454, 6886, 8667, 3600, 3382, 8660, 6047, 5572, 6638, 1756, 8375, 9739, 4573, 5843, 3484, 8778, 4326, 2085, 5574, 7834, 4063, 9168, 9389, 2994, 8817, 9361, 8339, 7238, 5178, 8045, 1306, 9735, 8167, 7111, 8437, 6878, 7476, 4208, 6002, 6606, 1280, 3603, 8713, 8735, 7374, 635, 8810, 1371, 9883, 5425, 8624, 9434, 3907, 7843, 917, 5712, 9206, 4936, 341, 8574, 8000, 1559, 3861, 4541, 1241, 949, 8910, 4984, 2063, 6944, 7099, 7122, 3315, 1864, 7670, 6266, 4533, 5898, 4819, 4162, 7758, 1023, 642, 8589, 7389, 3405, 2161, 9582, 2422, 9325, 506, 8344, 8987, 918, 7648, 885, 9863, 1462, 1382, 9034, 1124, 2314, 7652, 2965, 6769, 2297, 5153, 8279, 4019, 607, 8869, 5372, 3523, 8419, 2193, 591, 8397, 8845, 6737, 2998, 5506, 2708, 4538, 1135, 4462, 2123, 2913, 3216, 623, 999, 1962, 2266, 462, 6272, 1798, 8669, 6576, 708, 2741, 6795, 6708, 4587, 5890, 9056, 596, 2398, 4266, 8927, 3127, 2064, 1139, 7356, 4730, 887, 927, 3986, 3261, 359, 2079, 3214, 118, 7502, 8203, 6797, 7674, 9808, 2719, 1536, 4581, 3544, 5876, 8726, 942, 7938, 2431, 1203, 1638, 3034, 1663, 3092, 3662, 4102, 1599, 1710, 8114, 8939, 7641, 1919, 7760, 6695, 6654, 2860, 1431, 8442, 6698, 9256, 1527, 8719, 7966, 4434, 2151, 1524, 3829, 5716, 5674, 5402, 9363, 2973, 4276, 9893, 6798, 2345, 8079, 3658, 9360, 1540, 5447, 4818, 3765, 228, 3976, 7733, 1181, 6470, 9085, 2280, 2013, 1317, 6124, 7586, 1886, 325, 3964, 6732, 9752, 4890, 8591, 3836, 2388, 4344, 3110, 5725, 5053, 9702, 2857, 1955, 4227, 4320, 8979, 1165, 6319, 8998, 7845, 4049, 5348, 9147, 5532, 4380, 4574, 5818, 8480, 4131, 1880, 902, 3677, 9497, 776, 9238, 4629, 1624, 1546, 481, 4508, 6960, 6996, 9013, 6243, 9534, 2725, 6831, 435, 3560, 8842, 7673, 2304, 1738, 1967, 7852, 8053, 9659, 7412, 9303, 9617, 1143, 488, 2404, 8451, 5286, 3596, 7779, 4466, 1294, 5950, 5455, 5214, 9225, 8736, 2050, 3792, 2896, 7500, 5964, 921, 5691, 957, 7580, 8908, 4735, 1861, 771, 1046, 7928, 7681, 2395, 524, 2872, 443, 1720, 5844, 2255, 4210, 5779, 8530, 3205, 195, 4970, 8772, 3062, 5442, 6006, 9242, 7671, 6487, 7103, 8909, 2836, 3177, 507, 2347, 2164, 9720, 2480, 4451, 3919, 6979, 986, 726, 3350, 3069, 4579, 7383, 352, 7589, 4287, 9855, 8321, 4565, 8365, 2466, 8645, 7181, 727, 6037, 8001, 5979, 4673, 4443, 4011, 5561, 2862, 9200, 9293, 7965, 1729, 8269, 9144, 2060, 3147, 871, 9964, 2406, 4692, 3168, 1703, 3966, 8019, 3219, 7869, 7734, 134, 4856, 8283, 8483, 8479, 5669, 2694, 3276, 5542, 9858, 5173, 6326, 3958, 38, 7354, 2268, 437, 7891, 7565, 2856, 4389, 2419, 1245, 5892, 147, 1222, 7878, 1579, 1730, 2311, 4826, 6184, 5927, 5400, 1065, 7124, 5825, 1015, 5906, 1299, 5520, 2958, 2433, 4308, 9796, 8342, 1629, 5744, 2867, 9957, 1223, 2597, 3249, 1944, 1887, 1816, 7052, 5223, 8690, 9856, 2167, 6106, 4744, 3575, 3284, 521, 7010, 4924, 7033, 7588, 6144, 5311, 6337, 4366, 2977, 3540, 7748, 952, 9668, 9448, 652, 4228, 1722, 9629, 2039, 1444, 2461, 4440, 4045, 5540, 4447, 9969, 6728, 5756, 7125, 3323, 7393, 6158, 9187, 416, 1597, 2783, 8647, 6199, 1885, 5010, 6582, 267, 9780, 5815, 6821, 159, 2612, 7288, 7002, 3773, 4275, 5972, 9105, 812, 2833, 768, 9474, 9900, 6097, 5810, 3427, 9615, 6442, 1996, 2840, 5420, 8371, 2287, 96, 1099, 9098, 7694, 1615, 5385, 8664, 4455, 9663, 7246, 1314, 1900, 3769, 2483, 6327, 2277, 9033, 7404, 448, 3245, 5044, 7660, 7063, 5107, 5622, 6244, 2356, 4247, 6512, 3157, 1455, 9594, 9290, 5539, 3436, 686, 8816, 248, 1824, 8520, 9576, 7664, 3680, 6903, 6180, 7170, 8236, 9136, 4324, 8043, 9355, 725, 6897, 8261, 872, 7549, 4349, 900, 3624, 5732, 2218, 8258, 8638, 6563, 8632, 925, 825, 4912, 9797, 8162, 4746, 7877, 1467, 2273, 6720, 7237, 2599, 8584, 2813, 6427, 3385, 2778, 7415, 9616, 3632, 3795, 5116, 7323, 2453, 8557, 4025, 4041, 6254, 8626, 4838, 5621, 620, 7884, 395, 6891, 792, 6900, 9179, 9880, 7467, 3393, 8431, 1346, 2816, 5834, 1849, 5670, 6683, 8121, 4056, 1567, 9592, 8305, 7258, 5710, 4024, 2703, 2361, 7864, 2630, 3569, 9740, 7978, 8038, 6129, 9571, 8248, 8145, 2917, 6090, 2826, 2582, 2525, 8464, 821, 7398, 2278, 3158, 9568, 4171, 55, 5058, 9405, 8852, 6867, 9862, 9066, 4862, 5598, 1838, 1380, 2451, 1912, 158, 40, 4353, 9619, 1528, 9394, 5008, 4806, 2176, 929, 7943, 8803, 8039, 5376, 1003, 3494, 4850, 1625, 6163, 1375, 414, 1070, 9948, 2083, 1404, 1440, 9324, 5022, 4346, 7882, 6072, 4691, 6613, 2417, 2112, 3203, 8904, 7208, 554, 8588, 5762, 3227, 9432, 679, 4979, 2884, 2276, 1264, 9973, 7266, 9004, 4028, 3169, 3210, 5180, 8304, 2573, 2823, 2351, 6841, 8581, 4253, 2727, 1761, 2228, 7708, 782, 6245, 3757, 5824, 911, 1821, 6359, 770, 3579, 8636, 6824, 3186, 5775, 5039, 3743, 5886, 8528, 7651, 1987, 1773, 5920, 6887, 174, 8469, 9546, 1989, 1170, 4376, 5512, 7487, 6920, 4068, 2642, 6342, 3531, 6437, 8977, 1956, 8544, 5583, 8377, 457, 8366, 4705, 7333, 837, 1510, 3832, 4721, 5273, 5004, 9870, 5439, 3576, 7268, 1622, 7677, 1273, 5757, 6497, 978, 4315, 3938, 2724, 1665, 9793, 1129, 7775, 7945, 7795, 8738, 7399, 2411, 2889, 8833, 7484, 3707, 8070, 461, 3357, 3921, 2979, 3120, 3889, 8993, 8075, 4524, 6701, 1580, 8299, 7659, 8426, 4038, 892, 2344, 3009, 2010, 6699, 6822, 8037, 7815, 4987, 7983, 910, 5146, 2948, 6849, 9199, 6593, 6845, 4294, 7082, 8806, 9184, 6935, 3318, 3985, 3399, 2215, 6075, 9043, 1092, 8130, 9748, 4439, 1477, 46, 882, 2225, 6828, 1, 1188, 8360, 1618, 8165, 8585, 511, 3526, 8474, 2069, 8634, 5169, 2066, 5557, 7683, 3339, 6739, 2550, 2206, 14, 4474, 4852, 1741, 8430, 1410, 995, 1789, 2789, 905, 1587, 6215, 9810, 1780, 1362, 2751, 5836, 9161, 4539, 5294, 827, 4572, 4097, 3121, 7988, 7005, 3682, 3854, 2515, 4104, 1405, 7801, 9192, 1767, 3, 5536, 7512, 4848, 3213, 2586, 9477, 9060, 4544, 9536, 7025, 5068, 400, 8916, 3974, 4553, 3448, 6073, 9387, 7270, 4774, 4122, 5755, 8438, 2098, 4716, 3628, 4783, 2914, 2928, 2106, 4176, 8767, 62, 2352, 5764, 4436, 9890, 4035, 4177, 4398, 5065, 9501, 3471, 8729, 7396, 8016, 7693, 6504, 6282, 933, 4513, 2131, 571, 5782, 8561, 9210, 2609, 9317, 5087, 4279, 2390, 9889, 1598, 4921, 8411, 5538, 9230, 9803, 1001, 2321, 2756, 9330, 434, 1262, 4127, 2956, 4415, 7575, 8338, 7079, 9014, 1112, 1677, 5336, 6541, 7714, 8980, 7143, 5976, 5355, 1204, 4212, 5977, 5030, 3391, 2775, 6945, 5806, 1815, 9214, 800, 1201, 6316, 4371, 2651, 2655, 1320, 8982, 9983, 4532, 3522, 7568, 4893, 7200, 4537, 5155, 5958, 514, 1120, 7000, 9123, 2701, 9513, 8278, 2957, 8092, 5993, 18, 7014, 1512, 8776, 5232, 3174, 816, 1251, 2588, 3516, 7126, 5617, 5638, 2155, 3748, 7848, 2104, 8580, 2645, 2084, 3235, 6558, 2286, 9259, 345, 4810, 9336, 3220, 2543, 9216, 9364, 6248, 7513, 1748, 8425, 3995, 4403, 287, 6390, 1411, 3379, 6222, 4435, 8026, 3550, 6988, 7219, 1354, 275, 69, 3732, 8951, 863, 2782, 3185, 6519, 2288, 2210, 5808, 2591, 5576, 6424, 3485, 1506, 1777, 4745, 8376, 6055, 5343, 2680, 3262, 7970, 8505, 7617, 2129, 9463, 3727, 3338, 2835, 5609, 5662, 7773, 9514, 1021, 1877, 3545, 4091, 8302, 7409, 5728, 1132, 3652, 2095, 1414, 1486, 3479, 3856, 6639, 276, 4226, 8743, 9367, 3302, 4386, 5569, 2533, 8034, 6421, 5893, 102, 700, 907, 6645, 5530, 9150, 4018, 532, 1291, 3326, 6961, 9624, 6584, 2412, 8185, 1952, 2678, 2006, 7654, 1472, 5369, 5315, 4291, 9331, 9252, 7371, 2426, 3815, 7380, 9692, 3040, 6907, 7842, 8309, 7086, 5790, 5581, 215, 8187, 1883, 8221, 1971, 4719, 690, 2839, 2418, 2168, 5881, 4220, 1670, 5981, 879, 203, 7992, 9753, 4851, 4314, 9526, 83, 6966, 1428, 2258, 474, 8273, 740, 7787, 8515, 4631, 7472, 7849, 7519, 9149, 3890, 6371, 4100, 2194, 7305, 1226, 1017, 2325, 7749, 808, 5480, 5503, 8150, 6385, 1421, 6310, 519, 656, 9974, 7317, 4001, 6816, 9538, 8492, 3741, 7224, 2252, 1080, 4388, 4816, 8517, 9386, 1718, 8915, 112, 4423, 7716, 6536, 2456, 4706, 4929, 354, 6894, 9301, 6741, 8428, 9377, 6735, 9871, 1485, 9140, 5963, 439, 6193, 856, 9614, 6118, 3146, 8009, 3580, 3619, 7912, 8125, 9055, 8689, 1695, 4124, 323, 4047, 6515, 7184, 5156, 169, 6289, 3532, 6024, 4717, 7682, 9547, 2922, 1679, 2650, 3423, 5748, 2720, 1057, 666, 3512, 9531, 9572, 3691, 2980, 4889, 8945, 5701, 4950, 7841, 1717, 9653, 3581, 941, 9255, 315, 4903, 3175, 4498, 423, 561, 1778, 5465, 5150, 7711, 4494, 7003, 2142, 8863, 7460, 5275, 2379, 7226, 5326, 98, 4203, 4426, 1740, 4503, 7777, 9859, 4964, 8052, 3164, 9540, 5110, 9512, 9171, 614, 8832, 2147, 2290, 6640, 8692, 4108, 909, 534, 9265, 9918, 6858, 4788, 478, 6324, 8999, 238, 3303, 9661, 5003, 4502, 7483, 1995, 1381, 9909, 2915, 5138, 7762, 6633, 3894, 1691, 1786, 1674, 7765, 5321, 4560, 7582, 8217, 3217, 1451, 648, 7387, 1176, 8657, 3351, 1582, 4421, 1682, 209, 2806, 6556, 7730, 6303, 1794, 9078, 9506, 1984, 8615, 1518, 5594, 6051, 1128, 9305, 2600, 5632, 3507, 5749, 7209, 8081, 8260, 1834, 9028, 200, 719, 9817, 8156, 5761, 8025, 9953, 5331, 6253, 6651, 4330, 5183, 8661, 6314, 9041, 3714, 8513, 9289, 6580, 749, 9943, 4865, 6611, 823, 7809, 5703, 697, 4801, 3151, 6774, 5184, 2373, 6551, 4420, 9100, 8700, 3330, 4008, 7047, 2602, 4609, 6056, 2283, 3759, 8802, 4992, 7391, 898, 8963, 5874, 4058, 5235, 5579, 2627, 6588, 5511, 4583, 7176, 5759, 107, 4404, 2879, 1122, 3016, 9625, 9960, 9591, 4926, 9532, 1848, 997, 6219, 6391, 6830, 9928, 7612, 6646, 91, 9895, 266, 3355, 6933, 7499, 937, 8931, 6655, 939, 8556, 9115, 5433, 1307, 2179, 9385, 6071, 2355, 8352, 7712, 1296, 4521, 9994, 7585, 5324, 9183, 4526, 7133, 5608 ], [ 1158, 361, 3688, 822, 5944, 1889, 4239, 6026, 847, 9002, 6547, 6349, 3264, 2100, 4916, 9467, 1426, 7898, 4195, 3922, 2047, 7573, 1248, 6564, 9792, 1260, 3989, 8890, 784, 1027, 1863, 8688, 6898, 543, 633, 4370, 4055, 8577, 7822, 367, 3388, 954, 3490, 5582, 398, 5162, 3855, 3715, 3549, 5045, 6765, 4411, 2271, 5347, 4233, 8555, 3050, 4797, 3916, 5481, 8065, 8049, 411, 3430, 7968, 7392, 2495, 1669, 2535, 3622, 5695, 8709, 249, 6186, 1055, 8702, 3208, 7984, 5117, 9818, 8601, 2572, 5458, 2159, 9580, 1626, 4935, 3917, 3915, 6644, 3546, 8010, 8393, 4272, 811, 6523, 6087, 334, 9414, 5236, 8663, 3083, 2968, 4118, 9269, 9867, 8571, 6791, 5097, 8349, 8436, 5404, 3753, 546, 6080, 7102, 2772, 2785, 4419, 4773, 4167, 5877, 5443, 3257, 9155, 7896, 73, 3755, 7286, 975, 3476, 7982, 9197, 1422, 7235, 8152, 3529, 6548, 6286, 6524, 6335, 5931, 4050, 4178, 9554, 512, 7259, 4098, 3570, 8370, 9699, 7663, 824, 5934, 4901, 568, 4670, 1481, 1308, 5559, 1771, 7420, 431, 9504, 7390, 4150, 5633, 2988, 6946, 2943, 1372, 6122, 9710, 3389, 4650, 7794, 1366, 7368, 1590, 9765, 841, 883, 3052, 4909, 5845, 5413, 6629, 3005, 5984, 8955, 2715, 6550, 2603, 9427, 8550, 5234, 4688, 1493, 48, 8294, 2615, 3973, 1144, 8329, 9224, 6382, 8807, 2924, 9827, 8928, 5309, 7613, 8844, 9535, 934, 4786, 6861, 6481, 7022, 2673, 695, 4661, 5916, 8857, 446, 5894, 4123, 1445, 8960, 148, 6127, 3534, 1119, 8234, 2821, 8575, 7149, 4223, 8946, 4740, 7556, 6347, 4325, 9683, 1573, 6490, 6302, 3905, 7527, 9401, 658, 2235, 7066, 2043, 6686, 701, 6679, 6176, 2635, 6599, 4427, 9047, 171, 9657, 3097, 1167, 1073, 7567, 2330, 1591, 8050, 4397, 8678, 4021, 6514, 5719, 8782, 3625, 4614, 2596, 1358, 8465, 2042, 7838, 9027, 9464, 4067, 4306, 5563, 1619, 3607, 4612, 9981, 2636, 3739, 6543, 7406, 2133, 9690, 3708, 4372, 3122, 9602, 5488, 5809, 454, 5075, 1854, 5037, 5567, 5747, 3176, 1315, 9929, 3226, 7067, 4295, 7055, 1812, 4548, 9176, 7106, 936, 8861, 3909, 1876, 6035, 9154, 1402, 9940, 7897, 1829, 2541, 3930, 7766, 7243, 5323, 8106, 4771, 1736, 2536, 8086, 5253, 983, 6755, 8090, 4879, 2989, 2699, 1081, 4813, 3088, 1785, 8373, 4780, 3478, 9452, 9959, 9167, 9941, 4845, 8215, 3199, 6058, 3204, 2501, 3428, 7517, 6016, 3943, 2717, 133, 1151, 7974, 7410, 4564, 7706, 2485, 8062, 2114, 9555, 8199, 6277, 4872, 6309, 5086, 5965, 4908, 9050, 7463, 9044, 4338, 3459, 9177, 6284, 5319, 6154, 7196, 7935, 7019, 2316, 6149, 6250, 8940, 7154, 592, 8838, 9622, 9650, 2392, 2322, 9186, 8504, 8914, 7400, 9987, 2144, 4736, 6860, 5533, 7198, 3460, 5034, 1116, 6590, 5230, 2239, 2647, 1869, 1842, 9119, 3803, 8230, 7640, 9159, 8514, 5763, 5490, 5677, 2428, 730, 1928, 3117, 2467, 8265, 3410, 2174, 2128, 1018, 2686, 3445, 3566, 7142, 1236, 8925, 7482, 1205, 5132, 6213, 422, 8566, 1286, 340, 7569, 1832, 8694, 1491, 8675, 2503, 9286, 8896, 7046, 9869, 4552, 4424, 1072, 9821, 1363, 5424, 2565, 7309, 550, 1764, 4551, 6799, 8429, 8115, 1389, 6916, 1454, 2463, 1566, 4252, 6247, 8798, 2870, 8487, 2551, 8920, 7538, 835, 5052, 7379, 8289, 3867, 956, 1078, 2109, 1901, 6608, 1391, 3957, 2090, 93, 8540, 5036, 7570, 7615, 4584, 7876, 3696, 2068, 9626, 386, 8827, 6054, 6745, 240, 362, 9633, 3710, 7468, 9881, 788, 7, 8879, 7290, 598, 8292, 9772, 9961, 6352, 6973, 8756, 2907, 3044, 5863, 1295, 5359, 4357, 5259, 8336, 1719, 7113, 8794, 6877, 692, 5534, 1096, 1010, 4849, 1787, 7442, 3608, 1083, 3649, 1038, 283, 4501, 6402, 3752, 6555, 7431, 7464, 8603, 3070, 4710, 6336, 6618, 7358, 1469, 8110, 2188, 3665, 2435, 5476, 45, 3000, 9935, 6953, 5768, 721, 9217, 5436, 432, 7737, 9758, 7643, 2387, 9879, 8084, 2203, 4012, 5187, 4442, 1239, 4680, 7344, 7287, 6104, 2097, 3456, 5918, 8264, 6911, 4292, 813, 1602, 3277, 2765, 8247, 6937, 2448, 9492, 4060, 2757, 5519, 2118, 9884, 8554, 1823, 5867, 7954, 7352, 5891, 5513, 4416, 4529, 2221, 2025, 3774, 3200, 8489, 9522, 5291, 7027, 5354, 6300, 3672, 4611, 4928, 589, 6863, 2335, 370, 6111, 1397, 6205, 5914, 8274, 343, 4842, 628, 5753, 4729, 51, 6412, 2921, 1664, 4876, 6883, 3749, 3287, 7163, 4906, 8583, 9677, 1275, 8633, 8988, 4170, 4547, 5909, 960, 8286, 7862, 7511, 6942, 8826, 803, 2342, 661, 4189, 1620, 4542, 6281, 3153, 9857, 181, 7861, 5179, 3881, 8059, 4029, 791, 2598, 7949, 4803, 696, 9347, 5837, 9891, 3343, 4323, 9421, 2877, 7997, 7326, 2827, 3864, 5142, 9726, 1443, 1090, 2031, 6393, 2619, 6120, 1246, 1505, 760, 7337, 6011, 9334, 5545, 7265, 508, 8104, 6386, 7614, 9849, 5410, 7225, 7448, 4022, 1509, 1093, 146, 9495, 2575, 4602, 8023, 6787, 7530, 3074, 2141, 1179, 4438, 8188, 9958, 7522, 1570, 7283, 1210, 7868, 6581, 1051, 2800, 8144, 878, 2843, 3548, 1283, 2852, 4571, 3913, 557, 3225, 6177, 4004, 4557, 1171, 6985, 9600, 7887, 6743, 8061, 1973, 4020, 4652, 3758, 4675, 1606, 1136, 6074, 7451, 738, 9267, 1867, 2938, 5270, 9630, 5099, 9570, 7873, 2512, 3059, 4931, 1292, 6318, 2810, 1737, 6974, 8372, 7232, 9997, 300, 9059, 9990, 7696, 1107, 1923, 6441, 3474, 5254, 4364, 1345, 3296, 9438, 3160, 923, 5795, 1253, 9925, 6766, 6764, 239, 178, 7273, 4704, 9437, 3054, 7343, 6995, 9353, 9500, 5238, 9030, 7680, 3126, 5453, 2234, 4384, 9378, 1911, 5098, 6181, 6748, 7732, 7119, 9785, 3817, 4299, 572, 8335, 5106, 9322, 3099, 4061, 895, 6182, 2951, 9913, 3902, 8922, 8912, 9429, 4309, 4559, 8077, 2224, 5478, 4959, 7242, 8720, 8449, 4510, 544, 8975, 5949, 5652, 4747, 6295, 2449, 8417, 6919, 4857, 8288, 4016, 6775, 5278, 6474, 2814, 9732, 6381, 8202, 2517, 4874, 3738, 9391, 3771, 489, 647, 7626, 6368, 8231, 2080, 8992, 5466, 7994, 830, 3601, 664, 7130, 6534, 7521, 7930, 5690, 5904, 1961, 2984, 4033, 9445, 1915, 4738, 3502, 426, 2618, 8549, 9011, 3477, 3819, 9478, 6892, 6187, 3007, 8148, 4088, 9680, 2518, 4246, 2000, 6350, 5571, 3190, 8108, 4568, 8674, 5431, 5351, 834, 4915, 6926, 5698, 4825, 9565, 4608, 477, 1464, 9521, 5006, 6597, 8891, 6625, 7558, 1400, 6835, 7414, 8616, 9766, 8208, 5996, 2012, 3953, 5866, 4023, 3026, 7755, 2348, 5580, 914, 1530, 3972, 5024, 2981, 6029, 7104, 9962, 6179, 7964, 9328, 1089, 6059, 2476, 6269, 3187, 9852, 1174, 3159, 525, 2556, 6493, 6682, 1311, 8400, 2175, 3997, 9750, 8901, 6572, 8746, 1805, 9257, 8965, 742, 5778, 9444, 6971, 9188, 3282, 8898, 5389, 5397, 9415, 4836, 3320, 183, 1011, 3255, 8229, 1238, 8969, 4359, 8161, 2954, 4284, 5042, 4180, 1341, 3552, 6753, 4094, 8416, 4248, 5416, 7699, 6311, 8018, 7236, 170, 1514, 5805, 8259, 2368, 1762, 5175, 5320, 1744, 1437, 3123, 2762, 3604, 320, 2062, 8296, 7316, 3131, 4696, 7263, 179, 5611, 2137, 3637, 81, 1652, 2446, 2264, 2233, 9275, 9548, 4461, 5141, 4995, 7351, 4182, 2309, 4665, 4328, 6888, 3584, 9342, 1934, 5969, 3903, 5548, 3547, 4410, 6879, 8255, 1195, 4456, 4937, 5928, 2323, 97, 3793, 9733, 931, 4137, 5936, 2665, 3129, 509, 308, 2230, 5091, 9209, 7363, 8063, 9595, 3250, 4760, 3258, 8287, 9675, 1930, 4731, 4894, 3762, 4075, 6906, 3767, 6750, 2059, 2127, 5176, 9009, 1303, 9539, 2312, 9239, 6407, 7375, 9972, 1801, 2381, 8558, 8598, 9682, 8814, 523, 5459, 9283, 7796, 5135, 2825, 4413, 9607, 2140, 9606, 6189, 6983, 1990, 2524, 1827, 9207, 9717, 779, 9111, 4625, 3154, 9667, 8189, 4172, 2220, 5047, 8030, 2744, 670, 5026, 6255, 9037, 5832, 2869, 4444, 9779, 2976, 2945, 5814, 4401, 4489, 2003, 9508, 3999, 5317, 7430, 1706, 2763, 8582, 2883, 3660, 150, 6539, 629, 1522, 13, 5147, 6232, 6313, 2058, 746, 510, 3108, 3400, 8195, 5061, 7560, 281, 616, 9476, 1643, 2834, 1196, 6691, 3721, 9976, 6617, 3616, 9425, 3942, 6852, 4570, 6857, 1872, 9101, 9483, 8846, 1290, 5384, 7315, 5830, 9980, 2146, 5468, 2528, 9442, 8650, 1115, 6662, 2815, 9077, 515, 4374, 8936, 2919, 547, 16, 6333, 9058, 32, 4694, 576, 1242, 7603, 5565, 1965, 8507, 9032, 9300, 8697, 896, 966, 2231, 7942, 2189, 7892, 9455, 4139, 3354, 5792, 3947, 7496, 1488, 627, 273, 6376, 2899, 9227, 3518, 8051, 7095, 9117, 5101, 17, 7689, 7340, 9812, 8506, 5208, 8237, 4017, 8500, 202, 8029, 336, 9713, 2949, 1862, 7107, 3378, 7256, 8752, 1726, 8253, 2531, 7455, 5358, 7277, 8460, 4107, 3895, 1589, 820, 8900, 7833, 5426, 6786, 1062, 3372, 5260, 43, 5846, 3609, 5446, 9996, 7790, 1836, 1409, 913, 8841, 7599, 1213, 6190, 2143, 5822, 2726, 7146, 116, 5624, 6030, 417, 7384, 9679, 2377, 5856, 5592, 2182, 5630, 9072, 2890, 6061, 5553, 9882, 3244, 7925, 242, 377, 3218, 1039, 244, 8722, 3509, 4395, 8303, 4339, 9635, 7378, 4859, 8820, 6085, 7280, 1202, 5031, 4483, 1348, 5590, 4219, 3510, 2358, 919, 330, 1482, 379, 3268, 4607, 254, 651, 8764, 6288, 9222, 5477, 8440, 2409, 2162, 7740, 764, 7933, 8510, 9799, 2056, 7685, 410, 961, 4264, 9805, 2841, 3464, 8424, 8789, 1159, 1279, 1446, 6091, 3298, 8213, 1654, 2484, 3781, 3101, 1430, 1386, 1157, 3079, 7097, 2185, 4129, 7331, 2508, 8836, 6724, 6833, 1858, 263, 9362, 5109, 2683, 3333, 8406, 3064, 1207, 497, 3911, 9245, 5361, 4506, 3140, 8715, 1495, 5521, 6252, 3968, 7576, 4458, 9697, 3530, 6757, 8989, 3402, 1537, 6658, 4938, 8482, 2416, 8073, 2996, 2580, 1586, 4910, 8284, 2731, 9343, 6306, 2963, 4283, 19, 2937, 353, 4880, 4181, 2160, 317, 7700, 1549, 2022, 7078, 9608, 3990, 7029, 1460, 3496, 9180, 2926, 1552, 4095, 9971, 3542, 6850, 3128, 3878, 8013, 1913, 5835, 6811, 5858, 463, 1746, 698, 6294, 5915, 7478, 3589, 5507, 5363, 4753, 758, 5629, 9569, 8793, 6472, 2427, 4311, 4394, 8067, 1760, 152, 108, 4406, 8249, 3766, 279, 8714, 5831, 2801, 3734, 6976, 6575, 6663, 1871, 7808, 2912, 4662, 1395, 7021, 1888, 8325, 8795, 5340, 9365, 8116, 1478, 1603, 7746, 6239, 8907, 4198, 3763, 3232, 9285, 2308, 4143, 5105, 7555, 1870, 7501, 4470, 3180, 1878, 1276, 9510, 2681, 9485, 8210, 7385, 7698, 6096, 7321, 9894, 6761, 7303, 8476, 8681, 528, 3134, 8705, 5602, 6049, 4141, 5136, 227, 9926, 857, 7880, 1809, 3511, 9070, 1556, 1293, 7905, 3636, 2668, 3869, 271, 9639, 6249, 7038, 4329, 6355, 556, 7204, 7001, 7624, 5217, 9652, 68, 4588, 1376, 1775, 84, 9277, 2583, 8924, 6065, 5833, 2183, 7752, 5793, 5201, 2002, 2952, 6819, 2020, 9924, 8293, 7282, 5357, 9473, 1150, 9270, 4126, 7720, 6411, 6826, 551, 5289, 3627, 4833, 5661, 7684, 6066, 2662, 7297, 9131, 9701, 4776, 9705, 8627, 6595, 4605, 5878, 6258, 8741, 3089, 2584, 8011, 9114, 294, 9567, 5819, 5619, 8135, 9298, 3572, 723, 2023, 4580, 5564, 774, 3956, 7434, 7045, 9247, 1972, 7729, 8882, 7070, 2920, 2962, 8313, 2014, 4596, 391, 3998, 4817, 309, 8537, 182, 3790, 702, 2908, 7160, 9138, 4236, 8732, 237, 3145, 7419, 4142, 9095, 8850, 9310, 7171, 5552, 3617, 2791, 2621, 608, 731, 3260, 8696, 1856, 9825, 1329, 6501, 2909, 4923, 8973, 7516, 6940, 2544, 7093, 6301, 5848, 6636, 9646, 9273, 970, 4511, 804, 7274, 110, 8941, 6949, 6531, 7334, 7417, 3553, 8347, 5767, 8543, 4391, 8251, 1278, 7926, 374, 8964, 7839, 2134, 7991, 5883, 8072, 2769, 9952, 7963, 4755, 6956, 4112, 7702, 3736, 4898, 5060, 3887, 5159, 6334, 3961, 4069, 3115, 60, 6251, 4558, 260, 1153, 4258, 8497, 9853, 9723, 6529, 3317, 8060, 479, 9715, 5743, 4657, 8246, 4147, 2780, 1075, 7621, 3647, 235, 4881, 2207, 4039, 3469, 3562, 1826, 3142, 4942, 4804, 846, 4007, 3248, 6736, 6532, 8592, 2259, 5799, 8867, 8272, 5166, 8761, 498, 4441, 5145, 5735, 9158, 7294, 1209, 3139, 1859, 9916, 5813, 3818, 8653, 6989, 4604, 8990, 850, 360, 1187, 4683, 1032, 9537, 597, 7324, 6461, 1698, 3705, 33, 915, 7339, 6157, 7856, 5527, 8954, 5711, 2198, 113, 8862, 4471, 211, 1699, 8300, 6918, 3952, 4504, 5765, 9833, 6170, 4084, 5059, 89, 7319, 2555, 4922, 4643, 9930, 342, 331, 3192, 6172, 851, 5658, 8317, 3183, 3348, 1343, 9744, 9162, 6667, 6689, 1074, 2102, 8420, 862, 9927, 9907, 8766, 5267, 9073, 4763, 8870, 9079, 714, 6569, 1024, 9441, 1331, 4015, 8066, 4163, 2695, 3137, 4613, 2163, 8171, 7636, 8103, 6540, 5864, 389, 8398, 94, 7851, 3143, 9939, 7658, 9190, 4514, 1492, 6036, 9873, 405, 4009, 3839, 1581, 4377, 6666, 5082, 1247, 1470, 3760, 8978, 4824, 6483, 90, 2779, 4425, 3866, 7920, 8422, 3830, 2120, 1337, 7657, 9053, 8899, 5623, 9761, 988, 8455, 1753, 8308, 1852, 3959, 5937, 3150, 1906, 1006, 8252, 8849, 6697, 236, 2017, 8163, 7466, 9107, 9986, 8600, 3851, 3980, 1734, 9557, 6278, 5437, 2923, 314, 8679, 402, 2295, 445, 7064, 9771, 3653, 7144, 7490, 7895, 6033, 495, 4787, 4917, 5870, 163, 2320, 7443, 292, 4414, 4597, 3078, 586, 127, 7416, 8333, 3435, 278, 9944, 4955, 3896, 2293, 1808, 7901, 3014, 2640, 8401, 3301, 3809, 8701, 3087, 6827 ], [ 4145, 7969, 5014, 9319, 7123, 5202, 421, 3994, 5595, 2523, 3920, 5947, 8083, 4298, 3321, 3701, 8057, 6496, 4166, 6908, 130, 2590, 2300, 8815, 6456, 3292, 4809, 6544, 3873, 4152, 720, 7223, 9348, 3072, 1683, 1899, 63, 6607, 4682, 4156, 6417, 6710, 4209, 7647, 6063, 44, 3838, 4732, 6227, 6661, 9861, 7678, 9645, 3295, 8282, 2748, 1261, 1929, 1105, 3499, 2569, 757, 3567, 8906, 3826, 2119, 6138, 8930, 2306, 6999, 243, 7362, 6789, 9400, 7715, 7132, 2760, 2685, 3118, 3114, 9461, 8564, 337, 5985, 6570, 761, 8885, 6780, 2916, 4983, 2223, 7054, 8618, 5733, 1415, 9326, 2771, 4083, 5826, 3073, 1104, 7668, 6452, 5405, 5785, 682, 1336, 1521, 5948, 4428, 9684, 106, 1938, 615, 540, 1933, 3814, 2808, 6469, 3367, 8093, 3611, 3293, 9356, 5408, 9390, 409, 2494, 842, 7977, 494, 6040, 6115, 8883, 7346, 2420, 9000, 6431, 1525, 2400, 15, 7112, 3483, 5777, 894, 1610, 542, 7950, 699, 9396, 1016, 5486, 1020, 1784, 1728, 4086, 6941, 9524, 8314, 5015, 6171, 566, 5163, 274, 5618, 604, 5740, 3103, 7747, 2781, 6604, 4201, 5239, 8809, 4796, 1847, 5715, 7139, 4798, 282, 5718, 504, 3396, 1865, 5508, 161, 4623, 8886, 5160, 9809, 6905, 1215, 7050, 3495, 9954, 5752, 853, 5776, 7127, 7217, 7812, 1837, 9104, 2887, 2402, 4081, 2730, 7310, 1765, 7836, 2015, 5730, 1370, 4589, 6153, 4507, 1183, 4405, 58, 9773, 8935, 2099, 7973, 751, 6823, 1716, 3346, 9632, 286, 7185, 7450, 2386, 8804, 7903, 9743, 8787, 1216, 1102, 3308, 5742, 8950, 7985, 3503, 5838, 4217, 327, 4336, 3455, 3349, 7551, 9502, 6130, 7030, 442, 7504, 8024, 7769, 5492, 1465, 1860, 5113, 9906, 2553, 8214, 3730, 1085, 4496, 6530, 3805, 5940, 1417, 9970, 1140, 2895, 4621, 3779, 9975, 4185, 2690, 3247, 8270, 4499, 7799, 5434, 2787, 8655, 9420, 1681, 3595, 5032, 1673, 8848, 1779, 7656, 3038, 7911, 4654, 3633, 6320, 6602, 7026, 3438, 9244, 7805, 2811, 5999, 3666, 3442, 9254, 2444, 3883, 5842, 3228, 9719, 8911, 4687, 1645, 1000, 6383, 5593, 4475, 1686, 6292, 483, 2251, 1396, 5666, 8949, 4437, 6264, 5827, 3698, 3246, 7507, 8099, 261, 3659, 787, 533, 5896, 2548, 1230, 291, 1727, 5847, 5418, 5739, 6238, 8413, 745, 716, 2113, 5889, 2982, 9163, 7786, 1783, 584, 1369, 1322, 577, 3951, 7738, 6112, 2634, 5587, 6709, 946, 5628, 4715, 7110, 123, 8723, 2028, 3306, 3551, 3324, 3599, 5525, 4585, 5387, 3655, 1650, 3837, 3865, 6648, 3587, 1947, 245, 1355, 162, 9333, 7485, 9790, 7151, 2697, 8475, 5588, 6948, 4827, 3927, 6925, 5090, 8721, 9419, 1408, 7020, 9231, 9128, 6631, 6649, 4996, 7510, 9375, 9156, 9261, 1835, 5414, 9295, 4350, 1916, 1131, 6053, 3383, 7823, 9196, 6241, 7623, 6275, 5517, 4313, 6840, 3746, 5088, 8463, 7741, 5137, 2227, 7961, 6203, 4222, 6169, 9731, 2863, 7230, 2324, 193, 5071, 250, 4352, 3010, 8739, 2601, 5462, 9949, 9559, 7041, 6508, 3811, 3363, 2792, 2788, 3283, 1742, 3643, 4667, 1365, 6993, 4146, 637, 2534, 1884, 9139, 3266, 8749, 8652, 8124, 2385, 3080, 9747, 6260, 4173, 5222, 2671, 6098, 8350, 2638, 2138, 8811, 5714, 1903, 8112, 7207, 7479, 573, 4646, 2687, 7395, 1252, 3019, 5528, 6885, 5562, 2282, 3725, 2710, 8256, 5899, 4214, 5971, 5499, 2327, 6134, 9127, 7526, 7772, 8132, 6045, 7292, 6188, 2376, 2150, 4689, 3537, 9327, 3983, 9083, 3270, 8887, 763, 5435, 2625, 7655, 3403, 908, 810, 3001, 3508, 852, 1539, 143, 7947, 7167, 6913, 3935, 3888, 6565, 2878, 8923, 7937, 6296, 197, 7900, 9029, 2623, 2604, 4341, 8227, 1192, 6801, 9730, 6992, 7540, 8433, 2608, 5277, 5850, 7618, 5855, 285, 8403, 6784, 8902, 3426, 6520, 4417, 9, 1194, 4822, 4347, 355, 3206, 4151, 6763, 120, 4685, 57, 4555, 3528, 4700, 4433, 6583, 8369, 7452, 4895, 979, 3667, 2341, 9082, 7768, 4073, 8020, 9460, 8307, 5308, 7128, 165, 8126, 5573, 2595, 9813, 3557, 9430, 668, 650, 2008, 8771, 3783, 3415, 7692, 2511, 7148, 1694, 5312, 5722, 2249, 755, 797, 307, 9834, 1178, 7622, 1134, 1233, 6671, 6909, 5139, 3332, 1662, 4726, 9830, 1240, 4390, 241, 4634, 6790, 806, 9988, 9681, 9274, 1733, 8984, 2472, 230, 3309, 5589, 529, 2021, 1807, 4594, 5727, 4013, 5708, 2939, 3263, 8859, 5127, 4993, 9040, 780, 6207, 1351, 54, 8758, 5165, 2026, 7488, 5988, 1758, 5475, 3884, 4617, 5862, 950, 3433, 8238, 7806, 1172, 5000, 9260, 3211, 5967, 4027, 9541, 6853, 3347, 5681, 3031, 6890, 1087, 1088, 6209, 7031, 3163, 639, 7600, 2817, 8222, 3077, 7727, 6274, 744, 7221, 631, 8441, 7234, 7401, 1009, 6847, 541, 6361, 945, 1200, 2158, 1095, 7435, 2667, 1750, 4230, 6174, 2121, 8390, 6479, 3697, 5502, 124, 6810, 6503, 1866, 7210, 1234, 1480, 609, 8865, 8651, 2594, 2706, 2302, 2633, 2542, 6423, 1917, 947, 86, 1541, 7028, 866, 2970, 6198, 6516, 9496, 8345, 5191, 4669, 1564, 7353, 711, 7218, 5840, 213, 2496, 6927, 1156, 2677, 3824, 794, 3465, 1052, 188, 5432, 5102, 8707, 1211, 296, 8646, 6343, 9529, 4866, 1274, 1813, 5494, 9235, 5240, 7458, 7756, 4772, 3188, 4778, 5268, 5651, 2743, 3686, 7201, 875, 3690, 1175, 8744, 4540, 4627, 4528, 2614, 1058, 3606, 2559, 6044, 880, 4635, 6716, 5195, 9806, 8439, 5171, 6680, 4891, 0, 305, 7631, 4653, 1349, 4385, 1388, 6020, 9373, 8822, 5149, 2424, 2460, 3694, 588, 5750, 8731, 6970, 9103, 1305, 9054, 8407, 3162, 8526, 6622, 9687, 9417, 6365, 5421, 2733, 8006, 2663, 8394, 9272, 8753, 9484, 4943, 2735, 6404, 9304, 5978, 321, 3833, 1574, 6488, 7523, 8750, 101, 9039, 9843, 6100, 8058, 4554, 2570, 6623, 9822, 6567, 9872, 773, 2911, 7477, 3789, 8212, 1558, 6008, 6123, 7800, 7546, 6373, 8972, 2366, 1316, 499, 2646, 7940, 5547, 9202, 1945, 6418, 2696, 5054, 3390, 1324, 8590, 4432, 5600, 7866, 4792, 1529, 9439, 9219, 8821, 1244, 9828, 8770, 186, 6964, 8290, 1569, 9897, 2191, 1793, 5659, 247, 6331, 6041, 138, 3112, 7939, 5760, 8343, 916, 3305, 7577, 3319, 9096, 3788, 7850, 7366, 7917, 951, 7854, 1902, 339, 4373, 9911, 6078, 9042, 2562, 4828, 1804, 9759, 438, 4071, 5654, 8172, 3055, 6299, 5023, 4133, 3514, 5017, 8015, 6600, 7754, 8356, 8017, 4933, 903, 7245, 4709, 6936, 1268, 6928, 7859, 5673, 2382, 2202, 9397, 9921, 2274, 1033, 450, 9007, 1091, 3706, 4672, 9198, 5575, 967, 9742, 7561, 5745, 3967, 969, 6142, 5207, 5650, 52, 5620, 2975, 1985, 4829, 3473, 468, 424, 4808, 8445, 8545, 1497, 6259, 594, 712, 1993, 7818, 3620, 491, 6610, 1894, 6242, 8496, 1749, 729, 4235, 9955, 4393, 9876, 7524, 669, 3030, 7492, 3155, 4957, 2641, 404, 9266, 7267, 6895, 3626, 1441, 579, 3613, 2905, 9499, 7592, 2960, 2217, 1126, 2749, 2538, 9563, 8446, 2124, 8768, 3377, 71, 3440, 26, 1479, 1596, 8934, 394, 8032, 545, 874, 6378, 2157, 6410, 3447, 6838, 8888, 3988, 8087, 6471, 4674, 7087, 8905, 9407, 5440, 1595, 270, 993, 8880, 3223, 1419, 3368, 485, 444, 8699, 5464, 4234, 3737, 7637, 2805, 3004, 2380, 4941, 3764, 741, 7306, 9341, 6814, 3695, 6353, 8734, 7350, 4543, 2874, 198, 208, 4790, 8391, 2739, 8129, 5077, 5119, 5205, 9709, 9519, 9102, 7073, 8183, 1068, 7397, 9628, 5973, 1149, 3003, 583, 3860, 2038, 4472, 6972, 4186, 6677, 3687, 4140, 1113, 7183, 217, 6363, 5849, 7187, 4976, 2057, 5702, 8157, 2421, 5656, 9358, 724, 1905, 4318, 492, 6912, 3359, 9031, 35, 8328, 8823, 5306, 7503, 5655, 357, 2842, 256, 8120, 9648, 5394, 4348, 3578, 6843, 56, 6899, 5518, 8435, 935, 8071, 3563, 4245, 6605, 5148, 3543, 8028, 8459, 6939, 8759, 2394, 3806, 3269, 3733, 7557, 1981, 7999, 3230, 6975, 3669, 4668, 2795, 977, 8385, 1994, 1604, 7364, 2793, 4449, 268, 3899, 5064, 1983, 4978, 8002, 1108, 2832, 6178, 6237, 1601, 9801, 9382, 9824, 849, 1935, 2469, 6923, 3166, 6094, 2493, 4832, 1385, 8285, 2275, 6419, 6384, 7449, 7017, 5028, 5627, 9728, 3179, 8895, 5140, 6332, 4981, 3439, 6312, 2171, 5310, 2689, 6668, 1632, 8893, 9807, 5509, 8434, 8149, 8665, 9999, 6591, 3116, 2755, 8153, 2212, 3267, 1117, 4155, 1513, 115, 7301, 665, 938, 7418, 4412, 1030, 210, 5954, 4556, 8748, 5900, 4575, 8094, 8423, 1103, 5607, 3519, 7465, 4834, 7135, 6413, 1770, 4197, 3094, 2072, 6233, 293, 7304, 2941, 6414, 4301, 4089, 4835, 2626, 6139, 9370, 8123, 3443, 8138, 6796, 9714, 6126, 2672, 4512, 2964, 3678, 1212, 602, 6579, 7233, 9517, 9689, 5687, 2759, 6405, 9376, 5392, 865, 873, 7422, 9349, 7979, 9321, 8610, 3912, 6681, 7951, 4134, 2652, 6955, 7909, 1725, 9696, 7408, 6480, 8443, 2490, 612, 7491, 430, 4527, 8680, 2540, 2354, 4863, 1100, 6874, 9309, 3928, 7719, 3178, 8516, 2470, 5990, 7188, 688, 318, 5401, 2396, 5603, 1986, 2009, 5264, 6557, 7157, 9038, 7528, 3910, 2849, 3254, 9574, 2704, 9226, 6007, 7085, 860, 4476, 7101, 20, 7941, 9124, 2529, 2423, 7216, 6707, 2475, 2537, 2331, 3081, 7264, 5341, 2482, 8354, 2303, 5388, 7121, 8614, 1325, 78, 8730, 1578, 3381, 3104, 9169, 6166, 3021, 3556, 1313, 7761, 5942, 8966, 9288, 72, 5945, 7009, 7192, 4493, 6455, 1631, 5884, 3408, 9820, 3017, 7697, 990, 451, 8055, 6759, 5373, 6454, 7757, 8962, 2269, 9721, 8173, 8404, 4752, 962, 4914, 4043, 4355, 7827, 9643, 5986, 3816, 8501, 538, 126, 7955, 6527, 5853, 490, 4165, 9145, 5995, 8687, 8448, 2866, 7847, 8418, 3729, 1423, 2670, 2236, 7831, 3770, 3872, 173, 7137, 67, 397, 6473, 1874, 4948, 9621, 4750, 4262, 6486, 1920, 3679, 5723, 748, 2438, 4457, 8315, 7725, 4160, 2837, 1583, 7722, 4739, 9215, 137, 7069, 8668, 6511, 5200, 9299, 1002, 2666, 413, 5423, 750, 7300, 4268, 5375, 1332, 2046, 9542, 6057, 7433, 1146, 4759, 8142, 141, 5591, 7284, 4628, 2237, 1474, 8207, 5924, 6128, 8754, 600, 4168, 3365, 8044, 7593, 1064, 7008, 4117, 6634, 8263, 5614, 9778, 5998, 3344, 4531, 1110, 7285, 1050, 5066, 9670, 6428, 5078, 6785, 6673, 3240, 9097, 3406, 5297, 6525, 1979, 6711, 3273, 1648, 6650, 8552, 5738, 7583, 8971, 624, 5919, 5613, 428, 3449, 3209, 3536, 881, 9937, 1302, 6105, 959, 4969, 4109, 9727, 6012, 2248, 6103, 2350, 553, 452, 928, 1592, 6148, 7043, 9069, 7840, 9108, 1106, 6812, 3437, 6521, 6848, 6805, 9770, 6498, 3409, 549, 5055, 8621, 349, 6019, 9963, 3364, 4495, 3387, 8578, 9831, 9456, 1250, 8008, 4103, 4712, 5231, 6387, 2764, 11, 1607, 9493, 8140, 7972, 5560, 8521, 9509, 8257, 2566, 4956, 9736, 2242, 6083, 4952, 4977, 7347, 868, 2897, 6915, 1702, 8466, 7495, 2337, 2882, 1690, 1634, 1177, 5802, 9046, 7587, 6740, 3574, 9164, 27, 5002, 8559, 393, 3709, 9001, 3066, 4873, 3719, 8301, 9292, 5390, 3028, 8348, 4375, 7770, 6462, 4169, 7672, 4642, 677, 536, 9313, 2204, 2136, 1735, 2232, 469, 8813, 1584, 1757, 9518, 5929, 5296, 1790, 4968, 3810, 5314, 5875, 8872, 5930, 1059, 6131, 7691, 8547, 7946, 6609, 9443, 3452, 8194, 9413, 7432, 9148, 2076, 9457, 3281, 3848, 4645, 2055, 8160, 5982, 1004, 1568, 155, 6813, 2738, 7529, 1061, 9329, 8223, 3663, 6206, 5249, 2270, 8136, 2073, 7743, 2096, 5266, 8727, 838, 3768, 7153, 5272, 4488, 6854, 5210, 7607, 2688, 4761, 1432, 4854, 7958, 3750, 8917, 9850, 41, 2558, 7281, 6621, 1040, 890, 6742, 1637, 6165, 6494, 429, 2563, 6459, 9674, 5399, 7249, 4591, 4052, 4742, 6585, 9388, 6571, 4985, 3156, 3674, 4562, 7531, 8462, 1367, 5164, 7627, 7036, 1097, 891, 1461, 4975, 8415, 1392, 12, 9908, 3558, 2658, 870, 539, 65, 4505, 2693, 6931, 3717, 4637, 1843, 9152, 6866, 6715, 131, 265, 4647, 9708, 575, 4523, 5885, 7040, 1013, 8488, 122, 8490, 1593, 5069, 7222, 7616, 4846, 8620, 6793, 9549, 676, 5907, 5991, 9141, 2459, 4871, 1963, 1796, 8659, 3335, 7514, 5483, 8524, 191, 555, 1142, 6060, 6068, 7993, 8970, 2500, 922, 85, 4030, 3042, 1953, 3731, 4733, 363, 28, 4445, 3631, 7147, 1350, 3713, 8131, 3891, 2691, 5905, 7150, 7566, 1668, 2238, 6450, 8331, 4059, 5197, 9912, 6043, 5992, 4918, 5226, 4157, 5626, 3024, 5685, 1747, 4363, 1611, 9157, 6010, 4485, 2145, 3941, 7690, 1755, 5667, 1219, 9178, 5643, 6870, 1752, 6364, 7602, 7863, 9707, 9919, 3874, 2425, 8048, 7860, 5980, 4482, 1608, 7619, 3629, 157, 8763, 8005, 3407, 348, 8146, 3535, 5007, 4779, 472, 8133, 2250, 8119, 6009, 7923, 4534, 5144, 8452, 9465, 7776, 9408, 4651, 440, 2125, 9248, 8644, 7989, 9134, 991, 2256, 8831, 7679, 4728, 4620, 2391, 7967, 5282, 500, 2932, 1169, 2190, 1499, 4263, 831, 9005, 7373, 9693, 7497, 7745, 4811, 8579, 2530, 3033, 1959, 3723, 4132, 2067, 1035, 7318, 5096, 9722, 6954, 818, 5987, 4213, 7922, 3450, 135, 7486, 6307, 2019, 4660, 805, 5653, 3871, 1086, 4757, 7349, 5013, 7742, 5472, 4036, 7907, 1687, 2415, 5678, 6262, 264, 1517, 4244, 8535, 8351, 7810, 252, 2359, 1656, 6562, 9982, 1256, 3594, 1339, 6217, 9716, 3043, 6432, 7767, 4767, 6463, 3197, 7178, 9583, 3812, 1364, 2794, 6499, 5952, 3195, 9888, 3397, 5126, 5250, 6656, 8642, 9449, 5371, 9507, 221, 948, 8176 ], [ 482, 2754, 2610, 1434, 5461, 8968, 2403, 3314, 3184, 798, 4967, 3702, 9936, 4802, 9620, 9431, 5100, 8225, 8612, 1897, 8095, 6064, 6069, 9166, 2267, 6079, 5089, 6362, 2196, 3801, 6354, 9061, 5398, 3539, 8319, 7962, 3285, 9498, 4887, 5094, 3782, 1640, 5029, 3593, 1507, 8877, 6914, 9651, 5114, 7537, 5292, 8512, 8485, 9153, 8708, 6855, 1152, 3656, 1109, 6400, 8976, 1992, 4464, 9695, 6042, 6339, 4215, 2606, 3048, 7553, 1053, 5771, 34, 2027, 955, 7016, 4026, 9995, 7471, 2007, 5074, 4545, 372, 2589, 2804, 8392, 8725, 4085, 8717, 8168, 9910, 4972, 876, 3517, 5316, 1898, 9992, 1352, 8042, 1005, 8572, 3394, 5736, 1647, 7819, 662, 646, 5307, 5535, 8662, 3290, 117, 4269, 4885, 9418, 8942, 4624, 8495, 4491, 976, 7158, 2489, 1297, 621, 2557, 1298, 9791, 2616, 5676, 459, 8327, 4256, 5541, 4479, 7330, 3831, 6156, 7750, 4362, 3322, 7220, 1666, 9232, 2632, 356, 678, 3981, 4034, 5335, 8074, 5298, 4639, 807, 312, 5803, 456, 1067, 8783, 3982, 9447, 4777, 8986, 1118, 6688, 6952, 4586, 2648, 3984, 6676, 4261, 4698, 1326, 1198, 1508, 1533, 3171, 4218, 6220, 2378, 8718, 7141, 5241, 4882, 3060, 3950, 3693, 7088, 7202, 5709, 9590, 9581, 8362, 2292, 4064, 9917, 7642, 4966, 8536, 2211, 3487, 6652, 7212, 1658, 2876, 4550, 7855, 8518, 772, 6261, 5664, 4260, 3940, 2587, 3458, 7361, 9271, 1378, 683, 9515, 1418, 7971, 460, 6429, 6616, 7161, 7186, 4904, 2499, 7518, 8454, 765, 3095, 6659, 5921, 1627, 8414, 9774, 5675, 1028, 7320, 368, 1243, 6489, 2037, 9741, 8553, 8097, 6034, 4714, 1980, 1082, 259, 2902, 5828, 7606, 326, 487, 3892, 7828, 9618, 2855, 5663, 3327, 6632, 4249, 5901, 8180, 593, 6596, 6317, 2229, 2208, 7314, 1968, 6669, 232, 8860, 302, 7596, 1319, 8322, 6466, 9354, 8368, 5123, 2990, 9923, 7480, 1044, 6366, 4006, 7423, 5027, 6969, 1659, 5983, 9886, 4187, 6922, 3778, 3369, 1162, 233, 9640, 9466, 2851, 9344, 8100, 4199, 4566, 6738, 1502, 8670, 1048, 7629, 1412, 3929, 5185, 2488, 4243, 7544, 5393, 3429, 7835, 6592, 8277, 8310, 4945, 4285, 9345, 6137, 733, 5801, 1653, 6754, 8240, 7543, 4913, 1519, 722, 2253, 2473, 4649, 1957, 6884, 8606, 5370, 1605, 5170, 4072, 2918, 5079, 7440, 2574, 706, 3491, 3978, 5125, 8649, 6108, 8511, 4487, 7018, 8683, 8241, 2061, 1025, 5396, 4986, 4204, 4775, 6032, 190, 36, 4784, 8834, 4138, 9979, 5353, 3425, 9783, 6084, 8192, 3876, 1456, 3977, 7986, 1875, 2103, 6004, 1287, 9208, 470, 4096, 3374, 625, 9181, 6048, 6224, 2999, 2880, 7275, 3124, 5051, 9253, 7644, 565, 3879, 7279, 1974, 4446, 618, 1868, 3418, 2578, 194, 3945, 1791, 5473, 5257, 1676, 9520, 4965, 9604, 1154, 869, 6485, 6191, 4053, 7039, 7875, 8064, 6868, 6101, 7013, 420, 2187, 4135, 6693, 3661, 6994, 4632, 8800, 5457, 9734, 6589, 5009, 5367, 1214, 218, 7403, 5395, 5134, 2173, 3877, 3561, 9381, 9712, 2364, 537, 3053, 1114, 4800, 3712, 3761, 1076, 4418, 5781, 149, 4216, 3538, 9787, 5020, 717, 3334, 1450, 6341, 3754, 5798, 4821, 6641, 8525, 5374, 9587, 958, 4684, 8178, 1494, 1820, 8812, 5660, 5192, 6356, 105, 1639, 9142, 9182, 8069, 8, 3212, 3136, 5706, 2723, 7156, 2552, 7459, 1684, 2864, 6460, 4224, 9798, 8102, 6869, 4998, 175, 2942, 2659, 7981, 2624, 814, 659, 4074, 8386, 9194, 6226, 3012, 6820, 2315, 2184, 77, 5262, 9306, 4549, 2631, 1232, 7189, 3020, 7365, 3191, 2468, 3683, 1515, 5566, 2819, 1577, 6934, 4990, 9829, 7493, 6287, 5469, 7105, 1781, 5215, 329, 2177, 1373, 7155, 7042, 6145, 5190, 4925, 6809, 59, 8613, 1948, 6930, 3842, 5686, 7914, 2721, 4681, 3061, 4723, 8007, 3234, 2712, 3598, 9530, 4207, 8801, 5411, 8737, 5186, 3417, 8560, 4161, 992, 5417, 3149, 7803, 5035, 4468, 964, 1148, 8818, 6403, 3639, 2903, 7953, 2032, 7870, 5684, 8228, 3641, 3756, 2296, 9017, 1271, 1892, 6574, 7453, 2360, 5497, 8527, 2092, 2070, 7012, 2560, 5182, 2944, 7571, 8337, 9092, 9488, 6553, 8324, 4743, 6808, 3564, 4048, 6230, 9875, 5248, 981, 9915, 8983, 3605, 516, 9410, 167, 5285, 3049, 1221, 5304, 5953, 6426, 9384, 8595, 2888, 9841, 1523, 7724, 2971, 2799, 5451, 3775, 1054, 3704, 5584, 4116, 3882, 1130, 3937, 9406, 5640, 9469, 2148, 132, 1199, 9671, 6760, 47, 8710, 9016, 985, 8562, 114, 9012, 6236, 168, 369, 9966, 1182, 7213, 1184, 7180, 6093, 433, 8682, 8384, 9898, 8522, 9204, 3242, 7625, 3621, 4958, 6265, 6322, 5699, 9768, 7239, 8004, 603, 7998, 8182, 3500, 441, 987, 836, 1797, 3513, 2776, 2564, 493, 9627, 7061, 3857, 6620, 4711, 8012, 3498, 3466, 139, 8379, 5194, 8570, 5955, 6783, 7116, 7293, 316, 7976, 9268, 8330, 1931, 8450, 5364, 6856, 1043, 3316, 7338, 5577, 1636, 4830, 206, 864, 3772, 9453, 1707, 4431, 930, 6998, 1258, 1908, 6231, 8994, 3673, 5913, 2363, 298, 4946, 9566, 5868, 7436, 4240, 7134, 484, 2581, 7890, 4693, 2222, 3828, 1651, 2770, 973, 219, 5537, 1535, 5290, 104, 8387, 9685, 9191, 9422, 6143, 4870, 9613, 1954, 3747, 4273, 1893, 3602, 9938, 6195, 3173, 5154, 2777, 2828, 8158, 3463, 1189, 1208, 5454, 1267, 8773, 8981, 466, 6150, 3823, 7645, 1689, 7115, 643, 5597, 7889, 7250, 5556, 7329, 1678, 2132, 2004, 3380, 9553, 7872, 3901, 1041, 87, 7065, 2285, 9896, 1526, 6958, 8494, 2374, 427, 5704, 6223, 1914, 7667, 4814, 350, 940, 775, 5043, 8881, 2401, 2034, 2226, 335, 6433, 8154, 2126, 1042, 7193, 5283, 6603, 8762, 6871, 1235, 7581, 6678, 3834, 6102, 9211, 53, 1310, 3130, 9416, 7820, 1487, 6807, 9172, 5412, 3395, 7987, 1516, 2001, 7520, 8169, 4271, 2974, 8587, 3132, 6099, 4014, 258, 8534, 3045, 5252, 5713, 3644, 7883, 2732, 6929, 3786, 5634, 9110, 9851, 1301, 6968, 6687, 7584, 6434, 6062, 9794, 6039, 2081, 7205, 5925, 1342, 998, 535, 530, 7931, 5415, 7081, 2261, 9052, 1950, 1550, 3013, 9487, 5251, 6109, 3297, 1193, 3676, 5910, 2539, 7100, 6851, 425, 6430, 9993, 9835, 6397, 1743, 277, 6598, 306, 5961, 1304, 3065, 1977, 2265, 2985, 7597, 2393, 8346, 4113, 5484, 1056, 1709, 4847, 8605, 8280, 4518, 25, 144, 3243, 9658, 5460, 9026, 9922, 2593, 1731, 2617, 2753, 2122, 6297, 8458, 3198, 6328, 687, 1257, 3822, 4734, 5070, 2030, 373, 2674, 2116, 839, 1554, 4345, 1667, 8648, 8271, 7881, 8576, 6719, 49, 4010, 3944, 5705, 384, 3451, 2747, 5665, 8698, 8684, 1447, 5329, 5880, 703, 7034, 9746, 9845, 6730, 8641, 1321, 9950, 2711, 3646, 4644, 4530, 9951, 522, 8196, 9760, 7611, 9241, 151, 6815, 2082, 9486, 3583, 7932, 9393, 1999, 3853, 9786, 4454, 7927, 6717, 8033, 4618, 7367, 9978, 5381, 3845, 4855, 4603, 364, 5281, 3744, 222, 6535, 9814, 5062, 5463, 5612, 1927, 3776, 6987, 5487, 3623, 4238, 9316, 8470, 9424, 3022, 5115, 1882, 9366, 4758, 5322, 5193, 142, 8128, 8943, 156, 9737, 994, 7906, 7782, 4473, 5784, 6484, 8628, 6214, 3597, 9291, 9641, 4749, 4183, 3590, 9782, 3740, 6910, 6806, 653, 6647, 2761, 1969, 9899, 3111, 8383, 1094, 4497, 1231, 50, 5873, 6095, 1896, 9249, 7332, 6509, 3825, 5103, 9063, 2213, 9205, 5726, 5174, 8631, 7402, 1532, 5637, 9666, 5800, 4400, 8201, 3670, 9965, 4622, 7048, 1190, 9237, 9006, 9436, 8889, 1998, 8523, 5095, 9775, 2746, 9281, 8703, 7056, 9451, 4820, 8340, 3933, 785, 5774, 3133, 66, 7444, 7197, 2509, 8666, 8760, 6256, 3414, 3527, 8757, 2452, 9874, 4974, 1831, 6729, 2784, 783, 1453, 3336, 3931, 1347, 9901, 1160, 5216, 3630, 1814, 8456, 2844, 4567, 6136, 4259, 5328, 262, 2698, 6092, 4864, 6070, 8742, 7676, 1542, 9762, 324, 6832, 5720, 1452, 5911, 2334, 3194, 6475, 8031, 3356, 2440, 3486, 4892, 5152, 8111, 4815, 3294, 5084, 3926, 4042, 4332, 9426, 6865, 7797, 2152, 8609, 6225, 6844, 9212, 2861, 1817, 8958, 8244, 9815, 1949, 3840, 4664, 1739, 3541, 1553, 6408, 585, 1014, 8695, 578, 2900, 5120, 617, 570, 6921, 6977, 3331, 5265, 9284, 3671, 7190, 8868, 3271, 6321, 9914, 9021, 8003, 1066, 5515, 9764, 5441, 1939, 2736, 9934, 2262, 5734, 3280, 8639, 1616, 3515, 9025, 9991, 4869, 2643, 2241, 9126, 2684, 3638, 6873, 667, 6846, 1217, 9597, 2966, 7168, 8085, 5219, 7117, 6817, 9409, 4963, 4919, 2504, 2637, 5865, 7650, 196, 3328, 7313, 9087, 365, 1254, 1407, 817, 877, 7739, 1937, 5040, 8503, 6119, 328, 2520, 5554, 9236, 6904, 4153, 4886, 3735, 649, 8825, 7563, 3885, 5366, 7255, 1845, 8769, 387, 6023, 2865, 2089, 5005, 6829, 6221, 4980, 4202, 6522, 9577, 2209, 4720, 1534, 7829, 6025, 8076, 7646, 2972, 3237, 4988, 7921, 2214, 1918, 381, 289, 8291, 5797, 4525, 9371, 310, 2301, 8786, 9074, 5746, 6776, 231, 8991, 4516, 9802, 3125, 6721, 8117, 1255, 7359, 7327, 6267, 7893, 3612, 1468, 9165, 216, 4791, 7071, 70, 6643, 9357, 5783, 9789, 297, 1173, 4517, 1503, 4149, 7774, 8200, 3229, 7817, 5646, 8318, 7952, 7910, 257, 6067, 8355, 351, 2758, 9931, 2669, 6990, 5470, 3189, 2362, 829, 6653, 9757, 7718, 5083, 8903, 4486, 689, 1357, 2465, 9560, 1265, 4971, 4939, 1071, 4099, 3288, 8623, 6577, 7405, 7091, 6672, 8529, 6566, 1079, 4229, 3421, 3914, 6513, 246, 82, 6788, 2545, 7793, 406, 2554, 6276, 2774, 1881, 8374, 7957, 2011, 5636, 8159, 7386, 9968, 884, 3668, 9075, 7254, 8856, 2052, 160, 2370, 5495, 8871, 5596, 21, 3018, 5604, 225, 7175, 6388, 590, 1049, 5427, 1614, 7474, 5717, 815, 778, 7688, 4402, 1932, 5076, 9482, 9623, 4663, 6546, 8586, 4188, 1612, 1424, 7341, 9611, 3863, 3821, 580, 7035, 8381, 9751, 1401, 304, 1788, 7037, 9480, 399, 3222, 7494, 501, 9605, 2343, 7308, 4536, 5599, 6700, 7454, 473, 6013, 6298, 5966, 2317, 6505, 9471, 2329, 7369, 6834, 5729, 7867, 7918, 6415, 6938, 3565, 1543, 5131, 6444, 6881, 1895, 6204, 1333, 3850, 3472, 5209, 9403, 5544, 4727, 5334, 6164, 4191, 7598, 8959, 3340, 7489, 7247, 280, 4422, 4190, 2967, 1133, 5731, 2549, 3640, 5932, 3419, 1800, 6445, 7015, 6003, 8947, 6549, 640, 8484, 5558, 8643, 1958, 6398, 2561, 520, 3852, 7548, 1429, 7508, 9644, 5854, 9767, 6779, 5161, 671, 9598, 8961, 95, 6, 5549, 9593, 737, 2498, 9578, 7336, 1012, 5479, 2611, 2108, 3046, 8597, 2430, 1766, 9878, 2272, 8765, 8617, 2906, 419, 8830, 6121, 3202, 6046, 3571, 8953, 3341, 2513, 2812, 2044, 7473, 8755, 1225, 9003, 3181, 4396, 6340, 5346, 9067, 8155, 1970, 7550, 9071, 6712, 6377, 2318, 5860, 9174, 8751, 4768, 5968, 4194, 5196, 8276, 4582, 7231, 2105, 9706, 3441, 718, 220, 2657, 4999, 2745, 9836, 8047, 1547, 6619, 3716, 3241, 1776, 8565, 1379, 6825, 4296, 6028, 5056, 4480, 1572, 1924, 6447, 9423, 4805, 7956, 2439, 185, 7498, 7240, 2502, 6781, 8569, 560, 3057, 5941, 8118, 7728, 8974, 3238, 4478, 3313, 1334, 418, 3035, 4367, 1705, 4546, 672, 548, 1943, 2319, 2333, 4225, 5811, 7713, 1425, 223, 861, 2036, 6982, 9402, 5523, 7407, 828, 1724, 7191, 5244, 8635, 2243, 9490, 8088, 1344, 9603, 9904, 6752, 7547, 7832, 6175, 8341, 4148, 654, 6160, 4962, 74, 8948, 5754, 4144, 3804, 7446, 8829, 1483, 503, 7802, 2328, 2893, 358, 8402, 9287, 9076, 3221, 1693, 9221, 5313, 3446, 2847, 7707, 80, 5737, 3700, 8775, 4114, 3728, 1289, 9093, 5586, 9175, 7145, 9065, 8021, 4764, 4799, 5, 1340, 3971, 5694, 3960, 6446, 6147, 5585, 7628, 2729, 8205, 6981, 5903, 7357, 3948, 9062, 9903, 7995, 8082, 713, 781, 7089, 2521, 1439, 9558, 4905, 9647, 1671, 7559, 867, 7632, 2263, 2983, 1520, 6439, 899, 7445, 9788, 3310, 5258, 2859, 1828, 8357, 9116, 2766, 7535, 693, 9586, 1384, 5859, 2110, 7778, 7325, 6031, 2369, 4051, 6141, 7665, 1680, 563, 3634, 9278, 5256, 8206, 4280, 1873, 7271, 3955, 7701, 1458, 5769, 9081, 5791, 4593, 9315, 8211, 4807, 6957, 7074, 6375, 9527, 684, 8531, 7871, 6114, 2722, 982, 7853, 9132, 8918, 5016, 3201, 912, 1356, 8096, 9649, 6702, 7980, 6538, 4877, 4078, 6453, 7542, 6882, 7076, 8607, 4748, 6050, 2718, 7564, 2033, 99, 574, 2429, 9137, 5133, 8127, 9133, 3029, 39, 7705, 3337, 630, 5011, 8602, 4875, 7426, 5151, 9112, 7605, 8596, 3898, 6152, 1259, 3086, 3796, 5168, 4093, 3138, 5887, 8745, 7421, 4666, 2790, 8184, 4241, 732, 9022, 6077, 9837, 8840, 8944, 6772, 1442, 3992, 8453, 5332, 7959, 7475, 752, 8432, 3651, 1098, 5616, 8593, 7904, 8467, 6380, 2339, 2432, 1711, 3462, 5510, 3846, 6713, 5689, 4333, 8181, 5939, 5724, 3036, 622, 2115, 754, 4409, 6586, 4867, 3492, 8239, 6088, 3361, 5816, 9113, 1623, 1588, 8875, 6369, 8691, 1655, 2154, 7649, 251, 9494, 9977, 8785, 1449, 7360, 1361, 4356, 8332, 1218, 7328, 2752, 6615, 2661, 4932, 3424, 9213, 6351, 4340, 5895, 4092, 7269, 1284, 9470, 1841, 7990, 691, 6440, 6768, 201, 9462, 3932, 6338, 2802, 2040, 513, 3506, 4032, 9704, 4174, 9847, 1688, 1327, 531, 9544, 9475, 7072, 1206, 8197, 4989, 5807, 685, 9279, 7413, 7639, 8267, 4960, 9312, 2078, 7068, 9866, 8353, 7661, 9089, 9665, 1548, 1374, 9503, 7723, 3847, 2454, 3207, 7261, 8728, 6959, 3304, 6151, 6279, 4354, 1966, 1060 ], [ 9528, 4310, 6762, 9051, 5419, 8262, 2165, 7060, 1910, 4795, 5280, 7194, 344, 7731, 4841, 6803, 5680, 207, 4331, 3657, 4515, 7865, 42, 3102, 6627, 3231, 2197, 709, 347, 2434, 3384, 6986, 8245, 6257, 295, 2257, 826, 606, 6896, 2824, 6438, 3253, 4121, 6280, 7879, 2871, 619, 2978, 3862, 6396, 3893, 2029, 8358, 2705, 5203, 7311, 1978, 5788, 1561, 4853, 3172, 2135, 5897, 9585, 5445, 5073, 2679, 2935, 9468, 3461, 626, 3432, 7345, 2961, 4288, 4724, 4307, 2407, 7788, 3091, 7532, 1557, 8491, 2035, 3286, 1818, 2289, 1338, 3480, 7011, 2450, 1387, 3152, 2742, 5067, 2389, 2592, 4159, 505, 4265, 2629, 739, 4303, 5522, 796, 3524, 7077, 6201, 7296, 2991, 3011, 1960, 3923, 9749, 1751, 832, 932, 9374, 3908, 1034, 9019, 7173, 3726, 5104, 5679, 7427, 2797, 5228, 9826, 4327, 5500, 6734, 4312, 212, 8542, 5242, 2180, 1416, 6185, 3386, 480, 7260, 6155, 6110, 8091, 1830, 64, 9229, 9450, 6360, 1008, 5325, 2567, 2526, 75, 974, 2479, 9173, 694, 2829, 3820, 2838, 7447, 7816, 4578, 8855, 9458, 2436, 3362, 7044, 9656, 4500, 8113, 2714, 5382, 6675, 3798, 2410, 214, 1022, 6329, 9562, 2997, 6594, 2130, 1019, 9276, 5352, 5526, 2169, 3858, 8022, 5377, 1844, 6714, 7975, 8141, 4399, 8805, 4481, 582, 4576, 613, 1633, 769, 1907, 2399, 1438, 7006, 1318, 4031, 9610, 8819, 8864, 7355, 2934, 3685, 1473, 4054, 8997, 4237, 8640, 5922, 2675, 2457, 5974, 7291, 8219, 5360, 9676, 6125, 471, 3975, 3023, 4111, 7763, 9264, 7062, 1197, 7814, 3416, 7857, 1822, 3360, 2901, 2868, 6542, 8608, 7594, 8179, 1069, 3800, 4953, 7533, 599, 2487, 5378, 3802, 6889, 3041, 401, 8388, 3900, 4452, 4883, 6767, 5274, 6674, 6270, 7704, 8837, 1111, 7049, 109, 3843, 8853, 655, 407, 37, 6561, 3592, 9380, 3422, 1155, 888, 5908, 9686, 6161, 4392, 2111, 1975, 3533, 7381, 4342, 6704, 7552, 8937, 3444, 6001, 4954, 7781, 6457, 5821, 412, 8461, 7771, 611, 8541, 889, 6552, 6200, 7804, 5224, 7441, 6159, 9020, 5635, 980, 2464, 4951, 502, 3501, 5817, 3233, 4119, 7024, 8956, 154, 1926, 6015, 6162, 9296, 7710, 6146, 5882, 3085, 2437, 5644, 3467, 9816, 5615, 4105, 6637, 4949, 2478, 8190, 6749, 989, 9688, 1641, 4782, 581, 7885, 5452, 3457, 5888, 6478, 3520, 8847, 8567, 7539, 3642, 3148, 1237, 9294, 2925, 8706, 3215, 5177, 2492, 5786, 9573, 2107, 1988, 6192, 1646, 2750, 5482, 7515, 963, 4770, 793, 284, 1594, 1891, 8858, 1185, 5450, 3411, 3475, 4699, 6517, 6818, 5206, 6624, 7140, 5300, 9754, 8671, 5362, 8573, 3289, 7174, 6422, 6374, 7635, 8851, 3170, 4840, 5641, 2005, 1544, 9819, 6731, 7244, 5789, 6792, 715, 7411, 4884, 7428, 1498, 2086, 2205, 4317, 415, 8724, 3300, 8226, 7610, 5129, 199, 1063, 7394, 3412, 9711, 8509, 7753, 6842, 6568, 7169, 7924, 4701, 4577, 2093, 2700, 9664, 2455, 5299, 6194, 464, 634, 7109, 8170, 3918, 5959, 4509, 9351, 9902, 1398, 8828, 7058, 2260, 904, 6285, 6578, 3373, 2181, 5225, 4615, 2803, 5342, 8380, 8027, 4648, 5287, 8395, 2886, 8216, 9920, 1701, 4765, 4601, 9428, 2576, 5820, 5247, 5293, 1125, 2462, 4277, 4206, 9838, 4254, 7136, 7686, 4659, 5505, 6107, 7913, 9933, 4130, 6291, 6690, 9854, 5189, 2532, 4599, 1269, 1330, 5271, 1732, 1180, 3614, 2728, 943, 192, 1857, 5951, 5485, 4175, 8122, 3827, 1123, 854, 3949, 4430, 3807, 8412, 7936, 4520, 1613, 9525, 6401, 9672, 2219, 9561, 5741, 7278, 8035, 1433, 290, 9763, 3521, 253, 184, 8382, 172, 3724, 2656, 8892, 4994, 7004, 3979, 5758, 8427, 3936, 1501, 9804, 5429, 6183, 2413, 5033, 8359, 2018, 7846, 1675, 7227, 1459, 7916, 8405, 5672, 2527, 229, 1145, 3742, 4322, 2346, 5181, 3573, 7214, 766, 6229, 5349, 4982, 3991, 119, 4387, 3015, 859, 6872, 9729, 8790, 6965, 2375, 3291, 4467, 9811, 4334, 6747, 6263, 3196, 7195, 1228, 2955, 6800, 9223, 2579, 1335, 4300, 886, 735, 7084, 9725, 7376, 125, 3113, 4769, 4677, 1282, 4158, 2397, 4302, 9947, 4465, 7228, 3711, 7858, 3751, 7295, 4626, 7053, 777, 5956, 4115, 7298, 6794, 5081, 8854, 4741, 9160, 7948, 2383, 4598, 4697, 4703, 1288, 2298, 9243, 8619, 7108, 8473, 301, 3096, 1936, 1511, 9099, 4535, 5409, 7579, 7789, 7051, 4690, 8874, 2933, 5514, 2892, 5943, 845, 5504, 4361, 6932, 299, 4379, 4335, 5229, 6991, 4365, 8166, 5570, 3577, 3413, 4707, 9106, 9631, 8151, 5167, 4616, 6962, 6117, 9383, 6770, 9151, 7545, 7289, 1220, 6744, 1141, 6409, 1420, 7429, 1383, 3497, 681, 5946, 5601, 9984, 4242, 8594, 1565, 7229, 2016, 2734, 3366, 1904, 8306, 8040, 3591, 4200, 2240, 8792, 4319, 9865, 5912, 7821, 8447, 2186, 527, 9130, 5578, 9258, 4037, 5700, 8929, 767, 9251, 7461, 5383, 7262, 2367, 3555, 844, 809, 4193, 1191, 3345, 1644, 8508, 2192, 1353, 3037, 6902, 3056, 153, 6573, 2353, 5143, 3076, 4762, 1551, 6491, 3453, 7813, 2516, 4902, 8478, 4154, 4383, 5318, 2384, 9350, 5063, 3107, 2987, 1712, 7299, 7780, 5057, 2786, 6746, 5422, 5501, 3039, 1390, 4368, 7152, 6449, 8193, 9745, 3648, 4077, 3993, 5218, 660, 8996, 4686, 1560, 8101, 4281, 5857, 5975, 2307, 5121, 9703, 6601, 3645, 7057, 6984, 2486, 1855, 8098, 9601, 9738, 4900, 5872, 5301, 1186, 9395, 2048, 1772, 8367, 2117, 2947, 8551, 6021, 5923, 4606, 3025, 8985, 4785, 6345, 2845, 4655, 9048, 7509, 7165, 8839, 2045, 5211, 1368, 9776, 7177, 7902, 4463, 9308, 9311, 4360, 2992, 3376, 177, 5657, 1759, 5839, 2408, 6467, 5852, 9090, 5902, 2891, 5212, 5970, 3371, 2605, 2820, 5041, 6893, 9956, 4106, 7131, 2372, 9673, 4997, 7439, 5879, 4250, 5796, 8472, 3996, 6664, 6880, 8712, 6308, 1489, 9398, 1413, 675, 756, 8481, 9946, 1427, 1393, 4297, 5551, 9840, 5233, 7348, 3610, 2091, 383, 3962, 1475, 920, 9404, 680, 9302, 5467, 9086, 5124, 9146, 4896, 3353, 8658, 7562, 6228, 5938, 3075, 2201, 1476, 3401, 4656, 2170, 7425, 6451, 6210, 7695, 3068, 601, 2507, 9195, 486, 5693, 4101, 9091, 3684, 4005, 2660, 972, 319, 9662, 9120, 2959, 7251, 255, 3699, 9338, 10, 6315, 747, 2702, 9543, 7609, 8693, 4282, 9185, 5568, 9848, 8218, 1281, 8779, 2075, 5823, 1657, 7908, 9575, 7092, 9777, 6943, 9877, 9314, 1585, 5692, 7138, 6560, 1792, 5050, 9638, 2904, 5128, 1312, 790, 5456, 7666, 7090, 2946, 4640, 6559, 8704, 5025, 7098, 2074, 3098, 8878, 1285, 5812, 1811, 8147, 9860, 9008, 4408, 453, 8468, 4460, 9049, 8243, 9088, 6344, 9228, 9489, 6211, 5199, 3841, 1101, 605, 6323, 6052, 7669, 3970, 4076, 6197, 5213, 5243, 4002, 4270, 7470, 7456, 7182, 6862, 5019, 2953, 6670, 3144, 7929, 7215, 4636, 2340, 6022, 9372, 6587, 6924, 5682, 9823, 2149, 2653, 6005, 9691, 2568, 1630, 1562, 5263, 6173, 5157, 3082, 7007, 9307, 3275, 8568, 8808, 2445, 8421, 388, 5391, 382, 3906, 7075, 1026, 8835, 552, 9121, 7083, 3307, 1466, 6394, 7574, 7342, 5080, 2088, 7919, 5491, 8068, 9399, 24, 8143, 23, 7785, 6685, 9864, 4477, 736, 9584, 1839, 564, 5001, 8884, 4897, 5276, 3084, 9505, 7114, 7751, 6777, 4429, 4561, 9080, 338, 8233, 5997, 673, 5531, 1642, 2644, 4082, 2807, 2522, 2071, 1708, 3027, 5012, 6076, 6722, 3032, 3135, 6346, 1833, 1403, 3585, 3559, 2850, 9800, 1399, 3675, 5555, 7824, 103, 269, 204, 3167, 5305, 1436, 1850, 3489, 7424, 8232, 2491, 9297, 7886, 7307, 5221, 8673, 2156, 8630, 4519, 9846, 6950, 447, 1137, 9769, 5516, 7784, 984, 7505, 5350, 2740, 8716, 7462, 4973, 3299, 5926, 1769, 8797, 6293, 3434, 7481, 1168, 8686, 4090, 6477, 6392, 8254, 1309, 6980, 5255, 1328, 5787, 7525, 1721, 8334, 3259, 8740, 5751, 6425, 3482, 6330, 1909, 5688, 4766, 2940, 7783, 2577, 4839, 9340, 7595, 4232, 517, 1270, 465, 7578, 2796, 8164, 2830, 6876, 4448, 4619, 4751, 9523, 8777, 1810, 9781, 2294, 5647, 467, 6706, 4781, 2709, 795, 3934, 4369, 7944, 366, 2458, 3664, 3272, 6836, 476, 5303, 4927, 8137, 2153, 6718, 8876, 1576, 8275, 2986, 2245, 7162, 3859, 3791, 6864, 3352, 8498, 2571, 7792, 5869, 3897, 4251, 5449, 9634, 3481, 9985, 4860, 3504, 6140, 7370, 2927, 6305, 4003, 8486, 8563, 7120, 2065, 4, 7807, 4868, 4382, 5871, 9905, 7241, 2885, 176, 6726, 1941, 1782, 1819, 6554, 6782, 5960, 187, 4888, 496, 6751, 1754, 5444, 7437, 4304, 5112, 7604, 3311, 632, 704, 4257, 2365, 145, 5108, 2682, 8266, 7172, 5645, 7633, 7536, 9724, 475, 9642, 1976, 9250, 2628, 1600, 8672, 4057, 4278, 858, 9435, 1713, 6465, 7601, 7457, 587, 8493, 4484, 6017, 1997, 5158, 8056, 1672, 3505, 9359, 5550, 840, 7608, 3875, 4343, 5546, 7894, 8175, 5642, 92, 833, 8995, 4196, 2087, 2846, 8654, 9045, 1496, 9844, 8894, 4184, 843, 5861, 7534, 9068, 562, 3650, 968, 7798, 8604, 3681, 3109, 819, 8774, 3239, 5851, 1163, 8312, 996, 4080, 1628, 4907, 5448, 7312, 2737, 2310, 9655, 1649, 3939, 166, 2471, 111, 6014, 8919, 1077, 4062, 6802, 6081, 3342, 5671, 4878, 5403, 5498, 4066, 8054, 9637, 9094, 378, 4065, 1463, 1323, 6963, 6703, 9368, 1715, 2773, 9545, 3141, 5295, 3586, 371, 9118, 1723, 3954, 4595, 8174, 8539, 121, 8268, 7377, 8711, 558, 6733, 4255, 9636, 3252, 906, 6859, 2447, 6875, 674, 8191, 2767, 4128, 8311, 2506, 9552, 2929, 9352, 8791, 9015, 8932, 7572, 7164, 5338, 7159, 9201, 1685, 8622, 6506, 375, 4812, 8637, 9218, 5994, 9599, 2414, 5188, 5368, 1007, 2405, 6468, 4450, 8873, 6967, 9240, 8938, 5962, 5707, 8629, 8041, 7687, 8548, 9320, 7272, 5085, 6436, 3720, 4590, 6379, 3063, 6917, 6628, 4164, 1360, 4676, 224, 6135, 6951, 3312, 9533, 30, 1802, 332, 4337, 4274, 6528, 5772, 9892, 1377, 3468, 8502, 2607, 3582, 3358, 5935, 5766, 9129, 9233, 5631, 3375, 5610, 5770, 1249, 3987, 1942, 6389, 6089, 4899, 5093, 3420, 1617, 1166, 657, 1925, 3265, 6234, 6406, 4695, 5721, 7253, 4823, 3370, 3100, 2514, 8444, 705, 897, 5118, 5344, 2898, 9678, 7032, 9784, 8220, 7874, 376, 569, 1084, 2620, 390, 965, 3615, 559, 7826, 6458, 2244, 8656, 2172, 8295, 8204, 4718, 7591, 8078, 1359, 9023, 5302, 6208, 4459, 5072, 9669, 9339, 1890, 9472, 3006, 9945, 3329, 5339, 9698, 1704, 6492, 6537, 1406, 5407, 5794, 5780, 3692, 4930, 4358, 4920, 7322, 1394, 7717, 3588, 4713, 8209, 5668, 380, 3813, 5227, 6694, 5237, 9491, 3880, 3071, 1555, 8685, 5172, 4794, 1946, 272, 1147, 1138, 663, 3525, 8363, 3161, 3689, 6168, 8186, 2349, 5021, 8625, 636, 6246, 6502, 3554, 6696, 1121, 129, 8014, 9446, 61, 2798, 8788, 79, 801, 7888, 2254, 8926, 5365, 6000, 6978, 6358, 8361, 4453, 518, 6420, 7844, 1806, 4843, 4725, 2639, 9832, 8105, 8499, 8747, 5261, 1922, 3925, 4351, 9942, 8224, 2831, 9564, 189, 7709, 4789, 2497, 6630, 759, 1471, 6657, 9660, 2768, 9700, 3454, 4756, 7590, 2049, 9018, 953, 6367, 2858, 4316, 403, 5430, 7653, 205, 4793, 4490, 4638, 9868, 4125, 3470, 6443, 4305, 8316, 1029, 6684, 2338, 6167, 1840, 8320, 3808, 6290, 2910, 6778, 2094, 9612, 1164, 7129, 2692, 8533, 128, 3224, 8780, 3488, 1609, 3008, 4947, 2936, 1575, 1563, 1660, 6614, 6500, 2894, 641, 6642, 5345, 226, 710, 6464, 6348, 2195, 2166, 9885, 5337, 9064, 734, 8198, 3398, 8080, 8378, 3090, 7199, 3093, 303, 7166, 1921, 8364, 6533, 7934, 4961, 6196, 2024, 7735, 799, 458, 4671, 4136, 7721, 311, 3568, 7541, 4754, 1161, 9588, 2848, 6705, 2357, 8952, 1692, 3105, 5648, 7023, 8477, 2474, 3002, 944, 9170, 5379, 2247, 926, 5917, 3784, 6635, 2299, 4702, 396, 7675, 288, 5697, 4087, 3493, 3799, 6660, 4569, 2326, 6435, 7791, 1951, 4831 ], [ 4678, 8086, 5290, 1933, 2171, 9430, 9246, 3714, 2182, 7974, 2127, 8097, 7585, 6436, 8761, 2485, 9055, 1087, 5993, 5589, 2166, 8000, 4061, 6236, 8073, 6660, 1386, 9790, 9760, 2924, 2768, 4891, 8544, 7615, 9379, 8625, 7656, 1262, 7496, 6899, 4339, 2610, 6119, 2520, 7750, 35, 5051, 133, 3673, 5782, 6534, 530, 1683, 4423, 295, 3323, 2789, 6646, 4857, 9880, 6156, 5640, 3526, 3653, 149, 5730, 6383, 2603, 8008, 2753, 4640, 4663, 2463, 9013, 6989, 3745, 4831, 4925, 3852, 3046, 5166, 4426, 7067, 5019, 9631, 3006, 2454, 9523, 1217, 9494, 2783, 8968, 8372, 9900, 834, 6395, 6003, 9170, 9662, 7289, 3133, 7923, 9717, 1592, 5364, 8844, 4682, 6261, 8473, 7507, 8481, 9300, 1605, 2523, 7742, 4390, 540, 7441, 1253, 6926, 1711, 3053, 1372, 9276, 2918, 538, 5822, 3646, 1142, 7329, 6780, 2988, 8562, 8883, 231, 9365, 5448, 4467, 449, 1964, 2978, 5705, 9255, 4945, 9071, 9278, 4103, 8044, 2650, 969, 7865, 7452, 2873, 4444, 9750, 5527, 5085, 3585, 9841, 8750, 8965, 4800, 6136, 6817, 9427, 2707, 3204, 107, 9353, 1299, 6102, 7977, 5014, 9579, 3904, 7401, 3857, 6260, 2091, 7703, 7863, 1287, 4904, 4190, 3620, 6053, 825, 9157, 124, 9214, 7741, 1743, 1885, 9771, 5034, 4150, 9822, 8263, 737, 8330, 3153, 7150, 2969, 180, 2042, 1224, 1619, 4142, 5880, 5009, 8563, 976, 6929, 2680, 4031, 7920, 574, 668, 5471, 1212, 4859, 3502, 5826, 7364, 6514, 8311, 9036, 1086, 8954, 2324, 4793, 1373, 3461, 7947, 3543, 3123, 3386, 6230, 1991, 4369, 1113, 1458, 3759, 2343, 8985, 2423, 9088, 544, 6730, 2678, 480, 1763, 189, 1887, 8554, 287, 4705, 379, 5142, 1629, 5986, 2797, 1730, 1014, 8823, 4809, 8367, 8161, 1408, 6307, 3747, 9397, 4970, 2288, 9614, 8770, 2946, 7319, 6366, 8324, 2468, 6619, 1048, 8528, 2415, 6746, 9351, 4689, 6631, 8876, 1861, 3926, 9968, 8154, 4928, 2549, 7599, 5495, 1325, 9794, 3071, 1245, 3246, 2216, 2227, 4952, 8791, 977, 4210, 6276, 9319, 6334, 3662, 6807, 4194, 5055, 2234, 6995, 8159, 3160, 5548, 3474, 7658, 7576, 6500, 7270, 7518, 3663, 8377, 6022, 5801, 4395, 2616, 483, 9411, 1908, 3963, 566, 6415, 4602, 707, 9082, 2861, 6528, 391, 1536, 2261, 4218, 7512, 859, 8279, 6333, 8818, 3651, 1588, 7309, 7736, 807, 8506, 6632, 3842, 1350, 4121, 6547, 9057, 1507, 7592, 2657, 9586, 3850, 8425, 502, 4113, 8017, 5001, 264, 2449, 8967, 1727, 8329, 3105, 4777, 4246, 5358, 4572, 16, 9039, 562, 6004, 3107, 6684, 2140, 7949, 967, 849, 150, 937, 2458, 5555, 9625, 7570, 1191, 9040, 3972, 6946, 3866, 4635, 8928, 3299, 9087, 3527, 2731, 8964, 7697, 9143, 2260, 561, 9836, 5305, 6060, 9883, 4243, 4323, 2808, 6101, 2949, 6772, 3495, 5037, 4568, 9360, 7554, 3935, 7107, 1247, 3419, 9994, 9264, 3343, 8382, 8345, 218, 4571, 8484, 2279, 1483, 3081, 6181, 2769, 8898, 8033, 7078, 7679, 3827, 6140, 5132, 3380, 2659, 8655, 9043, 5736, 5410, 6463, 3366, 772, 9080, 4049, 9338, 3227, 2624, 9181, 4954, 8125, 3968, 3676, 7826, 521, 9455, 6710, 9683, 4374, 2591, 9546, 7290, 9052, 9201, 310, 7818, 3399, 6241, 7082, 1824, 2800, 4225, 4803, 172, 5096, 6480, 5121, 7587, 3755, 4279, 5048, 4134, 7868, 4887, 8794, 1848, 5751, 1540, 4281, 9431, 603, 7976, 7946, 8328, 749, 9976, 197, 5321, 85, 9390, 705, 8608, 6985, 435, 1422, 6555, 2666, 3208, 1119, 5099, 2335, 7648, 8169, 1530, 4944, 2974, 6122, 1989, 4791, 6388, 4710, 3264, 3297, 7872, 9098, 9112, 4980, 1444, 6629, 6981, 3315, 9377, 8624, 7148, 2262, 9788, 980, 2855, 8793, 8912, 9333, 990, 6596, 3405, 9120, 649, 51, 8333, 5298, 1718, 6008, 6180, 3220, 2023, 9330, 4613, 9811, 6889, 4501, 910, 3486, 4011, 9238, 4401, 5635, 1994, 331, 1884, 2161, 4636, 4600, 9920, 393, 8391, 6566, 2211, 1962, 9942, 8900, 9182, 1641, 9206, 842, 8557, 4287, 9405, 4123, 5175, 417, 9500, 6063, 7858, 5787, 6031, 2963, 5314, 3055, 9810, 9156, 7448, 225, 6258, 1364, 4841, 819, 921, 6485, 3785, 2534, 8368, 6107, 5060, 2303, 506, 6361, 5856, 3477, 1764, 982, 7525, 5478, 7799, 620, 7950, 4199, 6539, 2400, 1083, 1187, 7704, 878, 9187, 7482, 6426, 2761, 7835, 1125, 3529, 954, 8681, 6203, 3732, 4726, 4282, 1742, 4827, 9282, 1566, 6067, 6430, 7716, 7024, 2564, 8220, 2560, 1314, 3591, 2267, 7700, 2950, 3255, 7543, 8549, 8848, 8620, 4027, 5440, 7707, 3648, 57, 8604, 6215, 8629, 6411, 1230, 1010, 7626, 6935, 4706, 829, 8198, 7188, 8488, 2729, 233, 6207, 1449, 7846, 4095, 9582, 1850, 4559, 1286, 322, 9609, 312, 7601, 2360, 8866, 6220, 5310, 5164, 2014, 7472, 2129, 2497, 7602, 7307, 9729, 8516, 7723, 952, 4380, 4546, 8088, 7908, 7205, 1020, 7768, 2494, 2762, 9937, 5687, 8222, 5102, 6289, 7753, 1579, 692, 9283, 217, 9447, 7256, 7758, 657, 8490, 3966, 6494, 2925, 9100, 5561, 275, 9776, 9532, 8942, 9410, 8046, 9208, 4212, 5017, 6360, 6068, 648, 17, 1400, 3787, 8059, 7161, 8974, 2609, 2747, 9359, 2630, 5462, 1237, 3789, 9638, 3946, 8811, 3805, 1797, 7695, 5262, 503, 5231, 1546, 6116, 8173, 7025, 1845, 3373, 4583, 9254, 8745, 6050, 5168, 5006, 136, 3680, 6694, 277, 3903, 5431, 7444, 4920, 6718, 8503, 7018, 115, 5693, 5195, 6342, 4820, 3548, 8339, 1493, 1637, 4688, 2197, 3205, 1112, 9691, 4050, 4999, 163, 2927, 8440, 8445, 5492, 6602, 3406, 3721, 3344, 6012, 6292, 2168, 3814, 8588, 8264, 7345, 3243, 76, 5404, 9508, 9191, 828, 9985, 1750, 5540, 362, 2413, 5452, 3063, 5897, 3751, 211, 2934, 9821, 8139, 5032, 9797, 2254, 9093, 8927, 2982, 8570, 6370, 9628, 4621, 7844, 7612, 2568, 1397, 585, 5380, 1468, 2310, 8765, 6564, 5111, 2259, 5443, 6182, 2914, 799, 4257, 6925, 4939, 9474, 6510, 5388, 1812, 4461, 718, 8082, 823, 7340, 4699, 812, 5648, 4487, 2132, 4873, 2556, 7147, 8144, 3865, 11, 6327, 844, 884, 3455, 6365, 8859, 7000, 1855, 8011, 4833, 8669, 6976, 3313, 7597, 6987, 3285, 3685, 6553, 8038, 2455, 4938, 7470, 4333, 3009, 293, 7971, 2559, 8103, 8095, 2448, 7476, 2681, 5731, 511, 6467, 2906, 7294, 6625, 5965, 0, 2908, 2418, 4118, 8497, 9743, 3753, 2027, 861, 3614, 7096, 5642, 9656, 2923, 7250, 4555, 6822, 1738, 327, 3518, 9194, 9241, 3015, 3514, 3316, 2994, 876, 3508, 9021, 2593, 8760, 5087, 6732, 9203, 1477, 216, 2106, 681, 4578, 3952, 4040, 4110, 6234, 3790, 2280, 8395, 492, 8860, 6961, 9980, 7498, 6958, 3632, 8721, 1999, 3270, 1101, 2103, 5566, 7119, 7825, 4021, 9198, 2802, 526, 3626, 5749, 5585, 8383, 4343, 1037, 4082, 488, 2452, 8485, 2590, 1494, 7453, 1561, 2148, 866, 8526, 1849, 9679, 9557, 8710, 5027, 602, 8564, 2200, 4842, 6075, 7517, 4804, 1732, 2476, 5209, 3983, 1576, 4716, 2874, 6093, 2515, 2617, 1535, 2169, 5498, 5004, 2868, 3277, 2384, 8769, 6451, 5833, 5264, 7521, 3050, 1345, 3683, 7639, 3171, 9742, 5530, 1138, 9341, 6284, 7362, 1323, 5318, 9038, 9552, 3766, 7431, 413, 5350, 3816, 962, 4290, 1505, 8429, 246, 4976, 6515, 9217, 9438, 1791, 1330, 2692, 2265, 383, 5558, 6164, 9526, 1035, 6147, 9152, 3158, 3712, 1338, 6509, 9460, 1374, 5834, 5968, 4273, 7506, 1901, 9062, 1609, 37, 9202, 406, 7874, 2565, 6808, 7326, 6267, 4405, 3864, 4513, 5418, 152, 6933, 5057, 6776, 260, 9751, 6635, 2709, 3854, 4408, 905, 5255, 728, 5063, 5667, 3851, 6492, 7536, 6766, 6350, 4299, 5425, 9728, 4093, 4720, 1021, 3544, 1616, 3328, 1381, 9575, 9561, 4383, 2653, 6400, 7271, 7985, 4241, 5194, 4229, 286, 9158, 4155, 2641, 2359, 168, 7904, 9309, 1978, 2759, 8600, 3833, 2763, 3140, 4937, 4983, 5755, 9739, 5248, 5769, 5603, 1257, 5754, 4335, 3038, 8779, 8121, 5869, 82, 7163, 7101, 7246, 2079, 8792, 9779, 2156, 1612, 6421, 4062, 3035, 839, 1550, 3656, 9881, 7037, 7589, 3847, 2829, 4286, 2409, 61, 6357, 262, 6016, 5870, 7209, 3093, 7638, 2203, 2721, 373, 7794, 4038, 6096, 2806, 8, 9352, 9029, 5091, 7765, 3122, 1557, 8786, 7137, 7462, 6179, 8299, 4214, 9011, 1541, 719, 2546, 975, 5871, 498, 2597, 3889, 6330, 3797, 5525, 7348, 4810, 2782, 3619, 7593, 6542, 7417, 6466, 207, 6121, 6549, 3763, 6504, 5494, 6382, 9815, 9620, 4242, 8653, 5201, 5257, 2538, 5036, 7300, 2029, 4698, 1023, 314, 6950, 6455, 4417, 1983, 9079, 9566, 8944, 6086, 2682, 311, 3225, 798, 9384, 7747, 1651, 8521, 3578, 1864, 4156, 3744, 3695, 2119, 7408, 6123, 6567, 5783, 356, 6948, 1348, 1195, 731, 3897, 7822, 6713, 2670, 144, 4300, 1578, 282, 6620, 8062, 5205, 956, 1770, 4188, 2436, 6512, 1281, 4643, 1260, 3572, 7901, 4917, 9418, 8706, 8542, 2627, 4234, 5636, 3736, 3065, 9931, 3196, 7029, 9572, 3547, 6343, 6191, 6880, 9487, 6310, 5823, 104, 9905, 9684, 8380, 100, 5399, 9232, 5505, 517, 682, 6910, 1090, 7640, 7396, 9328, 474, 2016, 8091, 3621, 4653, 5497, 8186, 8325, 9297, 3098, 1817, 6061, 5670, 3679, 5371, 9858, 7583, 7386, 9127, 7255, 9358, 2746, 3194, 4684, 9859, 3836, 377, 9230, 25, 7251, 7360, 9306, 6165, 6944, 4088, 9003, 6993, 5437, 8029, 6548, 2859, 6224, 2688, 8797, 5663, 5095, 5792, 6211, 1456, 9414, 7185, 6118, 810, 644, 4177, 4153, 1204, 7245, 8686, 1963, 7876, 258, 3019, 2824, 4460, 3943, 5187, 1585, 5662, 2587, 8407, 2975, 701, 568, 2208, 6579, 3223, 9874, 5484, 7746, 7545, 2230, 5949, 1362, 640, 2304, 4836, 7333, 7798, 3304, 5211, 6429, 986, 9498, 4164, 2430, 3918, 7302, 9486, 8837, 7790, 5606, 2801, 989, 2979, 4409, 5726, 919, 3533, 6390, 7219, 1491, 3858, 5844, 2508, 4006, 130, 9041, 7181, 7007, 8845, 9240, 723, 2642, 5929, 6133, 4072, 3795, 1856, 3731, 8039, 8310, 4755, 3758, 7574, 1840, 8261, 9645, 3176, 7603, 1702, 31, 9188, 5450, 8577, 917, 2788, 5691, 8048, 6409, 5297, 6412, 1600, 2459, 2959, 9640, 3798, 7594, 1979, 7683, 1821, 9177, 4249, 2440, 2887, 1238, 2358, 2606, 2435, 2726, 3756, 4488, 8318, 6046, 5436, 5336, 5564, 8307, 7555, 6998, 7719, 278, 7455, 257, 7756, 1114, 6386, 6043, 7224, 1734, 9465, 1343, 9876, 8781, 4151, 1809, 2083, 8857, 5581, 5041, 8504, 2135, 1441, 8153, 7167, 3564, 6394, 9759, 8163, 4543, 741, 2955, 2945, 7394, 6677, 9499, 7438, 5058, 8708, 9584, 2331, 1769, 7619, 4272, 1183, 8349, 645, 7092, 39, 3099, 1577, 4818, 3567, 5267, 8492, 367, 7644, 1129, 3101, 1836, 1382, 8592, 3608, 3021, 4987, 5062, 6715, 755, 2045, 4955, 2987, 6404, 4192, 4271, 8836, 1344, 778, 7436, 363, 553, 6108, 3713, 6789, 244, 7637, 117, 2654, 7776, 5160, 1980, 571, 7859, 7041, 8707, 3536, 5913, 3361, 9596, 6563, 4929, 2105, 6650, 1267, 7569, 8817, 8606, 8972, 717, 6188, 8419, 8875, 4532, 2492, 1733, 9791, 1047, 4092, 6670, 9957, 4394, 9042, 2831, 4798, 9934, 5353, 1118, 670, 5357, 9895, 9028, 2126, 880, 1586, 2258, 4152, 2451, 4170, 7239, 7978, 1829, 1570, 4890, 9844, 9988, 7940, 7710, 4384, 1719, 9548, 815, 6303, 1682, 8534, 8998, 2086, 7465, 6166, 9253, 6572, 5438, 3995, 5991, 8180, 3519, 6760, 9290, 1827, 6820, 1512, 8976, 4065, 9354, 6801, 9906, 5908, 3955, 1857, 7691, 2480, 1318, 2756, 3303, 9325, 3881, 2778, 8807, 1265, 608, 4847, 7385, 4491, 6269, 7486, 1085, 8768, 2374, 8197, 3143, 3761, 3253, 8922, 1952, 5562, 8027, 2814, 7687, 2745, 3374, 4601, 1028, 532, 2724, 8343, 4988, 8213, 4146, 234, 2640, 1889, 4193, 8060, 978, 987, 4585, 1995, 2250, 487, 7706, 1471, 1165, 7303, 9993, 8239, 3643, 1928, 7125, 6286, 4029, 1273, 2573, 941, 2816, 3008, 7021, 1039, 8746, 4379, 2394, 7820, 9536, 5781, 8641, 6932, 5706, 4989, 920, 3214, 2665, 9650, 7996, 6940, 4341, 2194, 6923, 4756, 376, 1783, 8908, 841, 4386, 4521, 3320, 1520, 795, 2845, 4848, 4363, 8051, 2297, 3058, 1760, 9388, 8894, 1196, 6827, 3282, 6375, 6763, 7480, 1251, 6747, 6753, 479, 5349, 3949, 8716, 2634, 3267, 8777, 5335, 1302, 5406, 5487, 7737, 7487, 785, 6163, 6196, 3532, 9199, 5694, 1012, 4802, 9095, 6651, 8275, 4091, 8352, 1063, 9571, 6320, 18, 2344, 1684, 7002, 21, 5740, 5, 1598, 6913, 2090, 1470, 1740, 9660, 9699, 188, 860, 3672, 5839, 3363, 5786, 9793, 6759, 746, 8882, 5850, 6724, 3135, 1932, 9867, 263, 929, 2570, 6447, 8825, 1151, 767, 1881, 5411, 2956, 504, 1780, 5463, 4972, 196, 8404, 9602, 7258, 8749, 4724, 3258, 3317, 5639, 7516, 2876, 2826, 43, 4563, 4786, 5223, 2628, 1307, 1076, 9599, 5112, 8268, 7439, 2417, 9738, 8924, 5148, 5013, 1880, 3217, 1009, 7117, 9470, 3281, 9488, 6873, 1867, 1731, 5578, 9669, 8547, 879, 9016, 3131, 7701, 93, 1890, 5073, 1713, 3684, 9326, 5770, 3498, 4161, 591, 125, 8450, 457, 4313, 1157, 9218, 3349, 6317, 1703, 9604, 4450, 2391, 8660, 324, 3681, 5392, 2892, 5534, 4447, 1210, 1190, 7260, 5454, 8096, 8354, 142, 9848, 4596, 2772, 4302, 650, 2940, 5813, 5716, 3510, 5225, 9318, 8148, 9592, 5368, 4564, 36, 3589, 6795, 1122, 1352, 3382, 8800, 1935, 9512, 2703, 835, 9928, 1154, 2832, 3207, 6305, 7165, 8675, 671, 2513, 943, 6628, 1898 ], [ 4440, 4321, 6295, 470, 7243, 7276, 6552, 776, 317, 4964, 7445, 3321, 1472, 8058, 5881, 830, 6886, 2469, 7113, 1143, 7291, 3749, 8587, 6232, 8358, 7577, 4670, 804, 5258, 5927, 1501, 5409, 8433, 7749, 3359, 6026, 9133, 5779, 7666, 1755, 6288, 666, 5395, 5828, 4757, 9076, 7953, 9786, 1969, 9215, 7958, 8665, 4196, 3622, 5202, 9606, 3650, 8648, 6640, 9248, 2078, 183, 8109, 7911, 2785, 6546, 5015, 6098, 1453, 6442, 4898, 73, 3300, 959, 8999, 2489, 900, 1697, 1463, 2589, 2501, 3583, 486, 7304, 4946, 5315, 6982, 1893, 2857, 3084, 9350, 944, 6858, 6774, 5940, 2151, 7132, 8591, 2097, 4541, 6039, 5053, 7171, 4263, 5690, 1526, 3546, 3082, 4562, 1290, 9611, 9785, 4340, 885, 4128, 8041, 2916, 8085, 2718, 5709, 3837, 365, 6865, 7192, 1218, 6368, 5996, 7128, 8423, 5857, 4737, 5265, 3151, 1371, 9263, 28, 6152, 2037, 9978, 1589, 467, 7871, 5748, 2195, 4073, 3232, 8643, 4041, 7314, 3346, 319, 3573, 6199, 610, 1911, 6876, 7795, 6680, 6018, 5680, 8119, 2021, 7780, 6570, 8465, 3957, 5934, 9176, 3726, 1232, 3630, 1657, 2371, 2935, 2844, 1312, 2519, 4470, 7052, 4855, 8047, 2406, 3861, 2008, 6277, 9270, 4736, 3096, 9804, 5521, 1632, 7164, 9366, 4517, 5661, 1181, 4761, 5065, 4916, 7363, 7547, 7020, 4553, 5124, 2193, 3609, 7123, 3447, 7510, 5486, 7665, 4101, 4808, 6351, 6968, 763, 2084, 2734, 913, 515, 703, 8814, 9831, 2514, 8743, 7483, 6674, 7194, 9102, 9622, 3915, 6813, 4897, 8422, 2474, 7685, 898, 4725, 3016, 5539, 6877, 8566, 386, 8410, 8775, 1428, 5367, 2611, 2841, 5742, 9687, 5972, 9984, 7606, 5346, 6971, 6583, 6884, 6092, 6603, 1198, 5008, 7546, 8069, 7356, 7305, 8286, 2787, 3045, 8160, 296, 6947, 7177, 185, 9958, 4874, 8809, 8559, 9109, 8078, 2170, 3579, 5905, 2613, 8904, 7051, 5758, 3832, 7769, 9369, 679, 5337, 9527, 9484, 2405, 5030, 8350, 6538, 651, 3962, 2834, 2104, 8360, 3152, 7175, 4648, 340, 3690, 5386, 1040, 8550, 241, 7416, 6270, 2821, 3499, 5466, 8295, 3528, 9731, 4176, 2475, 4764, 4872, 8282, 9245, 1420, 96, 8098, 2837, 4702, 157, 3913, 9534, 3360, 3034, 3981, 1292, 3007, 1899, 1930, 399, 2529, 2965, 4360, 9658, 8204, 3669, 6679, 3862, 2744, 2202, 6356, 5804, 2893, 8009, 9299, 8840, 1435, 9442, 8983, 715, 8178, 1437, 6221, 3036, 9580, 9031, 224, 4483, 7650, 1680, 1919, 9576, 5608, 6017, 5956, 4579, 7724, 6014, 8864, 2339, 9975, 8496, 3689, 9707, 6112, 643, 5785, 3623, 7110, 5741, 5181, 7143, 1946, 6837, 3945, 5948, 6100, 4344, 2548, 5117, 3097, 622, 4378, 8489, 7221, 4359, 3566, 4748, 499, 1556, 7563, 5621, 5171, 2970, 8446, 6013, 6790, 2167, 8196, 7054, 3473, 5056, 3275, 6070, 2629, 2419, 9894, 7739, 6054, 9331, 2865, 4087, 7939, 3818, 5193, 9081, 8715, 9129, 7321, 8417, 2268, 3958, 4332, 6246, 6064, 7542, 8449, 8094, 9010, 8617, 9020, 9897, 7882, 1098, 6493, 4255, 8022, 4514, 2532, 1107, 5572, 8165, 6114, 7611, 2701, 6824, 1620, 7174, 335, 6829, 8511, 1756, 9381, 6896, 9861, 522, 9445, 690, 7372, 6816, 7043, 397, 5307, 7847, 3912, 5227, 3704, 3471, 7008, 843, 3786, 6734, 2306, 3524, 7933, 48, 443, 1254, 9249, 4410, 7588, 4823, 4844, 756, 6062, 3561, 3504, 4893, 6522, 9589, 2852, 8616, 6363, 2919, 8010, 5556, 2478, 8512, 1475, 2351, 2460, 9697, 6150, 4042, 6927, 3960, 9558, 2715, 4459, 5937, 9056, 8615, 3931, 5088, 4213, 1235, 607, 5089, 203, 1244, 2426, 337, 52, 4819, 5414, 4253, 2162, 3924, 46, 8887, 2209, 101, 7126, 8778, 9519, 9114, 1871, 4166, 9193, 7036, 6384, 4525, 323, 7912, 7591, 822, 9496, 1597, 6593, 2054, 123, 8915, 9385, 8911, 8357, 8018, 6084, 4493, 1623, 5351, 7565, 4327, 5252, 4499, 8858, 1701, 68, 4776, 5360, 4035, 6171, 5928, 416, 1852, 2932, 8104, 1376, 5700, 1912, 5574, 8690, 8227, 4235, 1467, 5365, 2266, 1203, 5563, 2944, 6843, 6800, 2048, 2948, 8938, 4511, 2579, 3992, 496, 7979, 8630, 3558, 2685, 15, 5576, 4817, 7657, 933, 8435, 5992, 5199, 2639, 8626, 547, 9235, 6049, 926, 6460, 6783, 8674, 13, 8365, 8171, 3633, 2299, 7497, 9524, 2175, 9716, 6297, 4133, 1595, 864, 1830, 9434, 7459, 3691, 9292, 9706, 9714, 6613, 3549, 2728, 5838, 5579, 4787, 5778, 7133, 1170, 9854, 770, 1896, 6663, 1768, 9382, 4298, 3597, 6055, 8850, 5513, 7325, 6028, 2309, 6700, 245, 7652, 2805, 2717, 4392, 2043, 9274, 2241, 3090, 3260, 1515, 7661, 700, 8499, 1877, 5163, 6575, 9941, 2443, 3195, 9373, 7898, 8632, 3111, 6424, 2941, 187, 5281, 5520, 1082, 3984, 8634, 6994, 1163, 5219, 641, 5653, 6131, 3262, 5630, 9741, 7158, 2649, 6222, 2073, 6355, 9205, 1346, 6862, 5777, 2217, 5836, 8621, 4837, 141, 2399, 2046, 8483, 7885, 8256, 7121, 4502, 7075, 9046, 300, 6113, 9195, 3540, 4454, 892, 5469, 877, 4645, 6587, 3830, 637, 8312, 5197, 8532, 4209, 4185, 8443, 4117, 3696, 3218, 5077, 5953, 8739, 5646, 3964, 2067, 7225, 8854, 10, 9639, 5137, 2693, 1841, 240, 1529, 239, 2635, 3639, 2069, 6264, 94, 2694, 6503, 7424, 702, 9441, 3774, 5042, 1264, 7732, 8486, 3781, 7632, 5122, 6324, 1106, 9591, 5604, 1180, 8470, 4595, 63, 7478, 3322, 6159, 808, 6040, 1208, 7062, 8929, 9702, 9800, 5594, 99, 490, 8906, 8452, 9974, 8142, 3210, 5190, 7095, 3422, 6686, 2012, 8759, 173, 7805, 3563, 4239, 6874, 9685, 7233, 7269, 6358, 7983, 2353, 8701, 4850, 3000, 1947, 743, 8193, 9310, 3808, 2381, 2751, 2177, 8389, 7952, 5344, 1454, 4476, 851, 3940, 9568, 8080, 3625, 9520, 3883, 1340, 1868, 2257, 4534, 69, 9692, 7474, 2947, 7010, 4968, 9037, 1573, 401, 2554, 6911, 993, 7948, 2404, 8767, 5922, 3956, 1601, 4315, 352, 9387, 805, 1970, 7786, 8134, 320, 8430, 9183, 4632, 6142, 8226, 7262, 3011, 366, 6804, 5541, 4173, 1161, 9458, 9421, 2742, 2031, 5445, 3040, 9008, 404, 6308, 5390, 8187, 5213, 8007, 4746, 3069, 5467, 6347, 4690, 8527, 3288, 7501, 7197, 1182, 802, 2542, 3491, 5817, 5035, 5676, 5086, 870, 747, 6462, 6983, 5886, 7012, 8748, 4547, 8816, 1627, 7779, 4735, 9898, 9664, 72, 8941, 800, 7896, 1575, 2586, 4008, 8049, 184, 6293, 6784, 8447, 661, 2462, 7005, 1650, 4, 7409, 9917, 5245, 8012, 4799, 660, 462, 2607, 4071, 5208, 6259, 7537, 7775, 8131, 5568, 9118, 3357, 981, 7354, 251, 7004, 5433, 2356, 4618, 791, 4250, 6644, 7039, 3290, 813, 2473, 4202, 4683, 2645, 7443, 9078, 7915, 3782, 8763, 8149, 5710, 7623, 3772, 8063, 3295, 2904, 7178, 7869, 6396, 7715, 8995, 7926, 4258, 8773, 6941, 8595, 5489, 7681, 6931, 7115, 3165, 8461, 1185, 824, 7954, 3767, 7265, 5622, 4765, 2220, 6943, 9173, 8813, 3438, 4135, 5240, 809, 7449, 1349, 3737, 2442, 1476, 2445, 8558, 1240, 3215, 4397, 6300, 8014, 2181, 6856, 140, 2363, 5340, 5557, 7001, 6537, 5246, 8185, 6427, 2545, 8074, 4895, 7833, 7674, 7634, 8633, 6110, 1900, 6554, 167, 8867, 9242, 3900, 5354, 9329, 6214, 922, 8829, 872, 748, 3520, 4504, 2773, 7605, 1311, 2032, 3497, 9324, 3631, 9864, 8910, 154, 6967, 3811, 6581, 5805, 7031, 8371, 9467, 2275, 409, 7493, 2380, 2750, 2141, 3296, 3988, 7264, 4566, 8207, 8945, 2199, 6952, 3032, 887, 6665, 3083, 3916, 8870, 751, 8274, 7752, 8321, 5901, 5299, 8961, 2738, 7757, 3773, 9607, 7625, 5370, 3024, 3044, 6502, 1909, 9400, 2644, 8714, 8285, 6540, 5889, 2134, 548, 5673, 9453, 446, 131, 8289, 7994, 8364, 1671, 3234, 4598, 6881, 2601, 8726, 3089, 3973, 4961, 3441, 3251, 7228, 6484, 6273, 6834, 2981, 6425, 4355, 4221, 9634, 2348, 414, 2823, 419, 3254, 8072, 1250, 9148, 4066, 8970, 6848, 3794, 9657, 5681, 8788, 4552, 9719, 3970, 165, 1835, 7553, 3138, 617, 5249, 9472, 8400, 1289, 4686, 3748, 4169, 8723, 6048, 2676, 8703, 6235, 9200, 6135, 9654, 6851, 7212, 8730, 1375, 5412, 2030, 1968, 4861, 4349, 6531, 8828, 7367, 119, 9544, 8386, 5415, 3229, 1225, 1036, 2064, 145, 4418, 7943, 1860, 1455, 1401, 8901, 6336, 4382, 5592, 5593, 762, 8529, 9014, 4664, 4760, 5196, 8947, 9362, 3114, 2652, 8677, 272, 3420, 8136, 7721, 3068, 9482, 7964, 7973, 7048, 8808, 4419, 7924, 1405, 850, 9947, 9001, 5816, 9674, 3678, 4832, 3388, 4985, 3880, 7550, 686, 9693, 489, 8223, 2749, 283, 9211, 8869, 1695, 4036, 6487, 8416, 5373, 6957, 6561, 927, 359, 8722, 1895, 8652, 9603, 1130, 5038, 6444, 858, 2661, 6032, 4222, 2754, 6634, 1380, 3437, 3967, 4910, 865, 2377, 6374, 1805, 1285, 382, 9999, 56, 3449, 1145, 5582, 1622, 8919, 7206, 3443, 5375, 3580, 1752, 8586, 7336, 3480, 1518, 4053, 818, 6408, 4416, 4115, 8513, 6090, 4000, 2725, 6227, 6853, 7682, 6529, 9305, 4368, 4580, 7429, 9391, 1534, 493, 9537, 5075, 494, 584, 14, 306, 2345, 2482, 9730, 8560, 1329, 2561, 3192, 9495, 9890, 9251, 6337, 2937, 1924, 7011, 4637, 9578, 7725, 2983, 1560, 1736, 7981, 7287, 8647, 3859, 8399, 891, 9802, 8291, 2838, 5584, 1310, 1997, 9161, 8466, 6586, 1141, 6991, 2870, 3555, 7157, 1274, 7832, 7690, 8294, 1124, 79, 5308, 3293, 4198, 871, 9113, 7071, 8978, 427, 4694, 8851, 7837, 4010, 4160, 1363, 6095, 6863, 8070, 3340, 5499, 8252, 8899, 3876, 3310, 3370, 7217, 7022, 8795, 820, 5294, 7032, 2342, 946, 6469, 5610, 8863, 4270, 5818, 5793, 9022, 6377, 3562, 7331, 5343, 3707, 129, 1361, 9853, 6195, 325, 8590, 4013, 4768, 4351, 9724, 5657, 7339, 6423, 5939, 4527, 2843, 4197, 7370, 6737, 9727, 2540, 9378, 2507, 1159, 4741, 290, 7991, 6736, 7513, 1498, 652, 6689, 781, 9463, 7944, 2319, 1366, 2113, 2102, 3029, 1984, 7013, 4849, 2428, 1326, 4228, 5917, 9681, 222, 4280, 4732, 5918, 3953, 2056, 5553, 6379, 6815, 3941, 5234, 6900, 2557, 6902, 7064, 6519, 7743, 8114, 3221, 953, 372, 2214, 9072, 9401, 4441, 5043, 2062, 344, 9801, 4067, 2115, 2766, 3031, 2082, 3327, 8659, 6951, 3457, 2273, 291, 1489, 6461, 1926, 4548, 6908, 1158, 1162, 5170, 9778, 3722, 4191, 3156, 1276, 3671, 9171, 7213, 7214, 3256, 5167, 7374, 4090, 4903, 444, 333, 7195, 4714, 3637, 961, 9273, 6745, 7454, 7099, 3598, 8124, 4676, 3666, 8960, 7960, 2226, 970, 4763, 3139, 3458, 9530, 7726, 6806, 5794, 4086, 5481, 6819, 2907, 6213, 2696, 4826, 4877, 1042, 1071, 7987, 4886, 9643, 8240, 7311, 9197, 9644, 9924, 2020, 8565, 6453, 441, 2992, 5330, 5176, 9481, 2087, 3147, 6903, 2477, 5465, 9517, 5512, 102, 6887, 4738, 8172, 6272, 5988, 9049, 8045, 1936, 4615, 5092, 4894, 4625, 220, 1644, 1131, 6091, 904, 7774, 1842, 8313, 9342, 8176, 1786, 7288, 5022, 2316, 6777, 7963, 2075, 765, 9783, 2527, 3466, 5829, 9695, 8347, 5935, 9317, 9433, 9647, 4415, 9289, 4902, 8297, 8057, 2206, 7845, 9141, 6592, 2964, 691, 906, 2232, 2431, 3535, 6212, 8362, 3381, 8801, 8575, 5825, 4248, 5238, 5214, 5812, 9468, 5129, 3048, 3919, 5183, 1913, 6047, 8301, 1869, 2178, 7324, 170, 621, 663, 6895, 2736, 7059, 6594, 3396, 4966, 1923, 5522, 6996, 5854, 3181, 2099, 2698, 3398, 5145, 2815, 4943, 9415, 6194, 7860, 1815, 5002, 151, 6149, 9091, 3932, 7509, 9320, 4561, 1527, 4044, 8892, 3905, 7763, 4388, 4236, 792, 9258, 2010, 2036, 2422, 9991, 8493, 7087, 1075, 174, 8234, 1174, 9860, 6557, 9850, 3287, 8157, 77, 6030, 3664, 8508, 8237, 7083, 6639, 1916, 2346, 5518, 3838, 5430, 4428, 461, 7376, 8491, 9394, 5084, 3442, 5327, 5855, 1532, 5847, 2467, 342, 6473, 105, 5261, 9595, 5130, 7636, 2052, 7511, 4381, 3718, 5802, 3091, 1003, 6490, 2921, 9301, 3512, 1672, 2085, 516, 5093, 4356, 8909, 9105, 2847, 5772, 3720, 8023, 334, 2424, 75, 4186, 4145, 1788, 3401, 653, 2305, 2774, 5771, 8031, 7578, 5192, 1572, 9852, 2375, 9461, 4845, 6362, 613, 106, 7357, 2325, 9219, 647, 9987, 662, 575, 5012, 1687, 6984, 1853, 729, 7791, 9833, 8635, 1569, 1259, 7284, 1800, 5510, 3784, 3224, 7042, 6788, 3803, 1789, 1659, 7642, 8287, 9781, 1270, 8250, 5472, 5146, 5332, 3594, 8717, 9336, 7966, 9513, 4868, 8348, 9068, 6720, 7702, 6208, 6413, 7951, 3066, 3986, 764, 3312, 1524, 476, 3506, 2368, 6445, 7338, 1696, 1938, 7816, 6184, 5976, 1482, 8413, 3109, 3969, 7144, 2390, 3853, 848, 6768, 7733, 596, 1826, 9436, 4607, 6401, 1971, 9210, 7610, 1940, 2248, 5054, 636, 6431, 5546, 1199, 5702, 2251, 9104, 8384, 2775, 3080, 5237, 4183, 221, 3652, 3022, 3469, 2290, 3407, 3335, 9478, 890, 9070, 9308, 5457, 1976, 478, 3369, 2018, 1700, 254, 8479, 9340, 8257, 512, 5732, 8594, 5703, 4858, 7631, 6432, 6036, 1943, 7162, 1785, 6290, 9930, 8228, 6909, 8956, 4163, 7523, 5474, 8390, 9748, 8670, 2453, 5985, 4639, 8658, 5827, 4685, 2465, 5033, 1466, 7559, 4432, 4801, 7828, 7803, 3005, 769, 8567, 7310, 570, 5268, 1324, 7085, 5228, 2765, 4605, 3636, 3560, 2282, 4701, 6576, 1897, 6626, 4023, 3164, 3655, 783, 5028, 1837, 3492, 4942, 8804, 6175, 9986, 5863, 7993, 618, 542, 3927, 2929, 8338, 204, 2910, 1272, 9667, 5987, 6869, 33, 3644, 8902, 451, 9641, 1551, 194, 6735, 5760, 5141, 600, 9419, 8210, 4144, 6855, 7159 ], [ 744, 5616, 6617, 7575, 9735, 9912, 4913, 3193, 2842, 6683, 8824, 9443, 8359, 3078, 4659, 1147, 5971, 1959, 5007, 6189, 4631, 9178, 2410, 7272, 9137, 4523, 9632, 1497, 1056, 3276, 9125, 8231, 5133, 65, 4014, 6271, 3371, 3445, 4413, 9826, 9866, 1447, 3185, 3587, 4650, 6966, 1883, 7350, 9060, 5243, 1744, 7170, 6132, 684, 7109, 9923, 983, 8849, 4180, 6748, 7142, 4147, 9528, 1072, 7819, 5947, 4687, 5893, 5100, 228, 6130, 3841, 387, 1070, 7544, 9, 4389, 3860, 9269, 5549, 8292, 9875, 5708, 8191, 6198, 7373, 2697, 5502, 556, 6688, 8460, 3700, 3353, 7407, 7299, 6728, 5317, 1956, 2235, 5347, 6027, 4665, 3888, 4666, 9774, 4642, 7586, 5738, 6939, 2535, 6980, 6010, 2000, 5688, 9747, 5595, 9048, 7047, 8536, 8247, 8507, 9902, 7030, 7196, 1213, 7643, 8002, 3800, 9784, 3703, 2412, 752, 5531, 3907, 3914, 8336, 6721, 87, 6311, 9754, 9762, 4693, 4490, 4284, 5286, 4475, 4533, 1478, 529, 2866, 6167, 1490, 1974, 9799, 5896, 6202, 5251, 2180, 3834, 4445, 4099, 557, 5831, 2123, 2662, 8724, 2034, 8454, 5076, 7023, 531, 2803, 6399, 8667, 238, 7467, 4372, 936, 5453, 2224, 8118, 5381, 3675, 5684, 6326, 3667, 5416, 1903, 7633, 6545, 4420, 5080, 8751, 5675, 971, 6867, 4992, 8342, 9321, 7745, 934, 9765, 7049, 2376, 1128, 7093, 6397, 5884, 5284, 9824, 8168, 285, 8992, 8106, 1407, 8083, 2291, 7573, 2447, 4012, 713, 7534, 4201, 8638, 2962, 1607, 4982, 6251, 7788, 625, 1011, 5269, 338, 9471, 6045, 991, 9806, 3424, 6238, 1888, 6020, 8334, 3017, 9588, 4350, 2185, 8957, 1710, 2828, 675, 1921, 6034, 7122, 4986, 8889, 7116, 9413, 7261, 7566, 4963, 938, 1949, 6608, 539, 3804, 5821, 3754, 7760, 2912, 8315, 193, 6217, 385, 6872, 8475, 5967, 8170, 4781, 7718, 7292, 2883, 7738, 7026, 3004, 6231, 5081, 5503, 3507, 4261, 266, 2509, 5470, 8545, 8627, 589, 6129, 3999, 4306, 9424, 4950, 3511, 3552, 5868, 1640, 8043, 5341, 6844, 8834, 9775, 9573, 4878, 9225, 108, 5878, 8530, 2901, 9967, 4867, 6296, 925, 817, 7533, 9792, 4275, 611, 5188, 8975, 8284, 2504, 4114, 7248, 7341, 888, 484, 9949, 326, 169, 5279, 4308, 2205, 6978, 3159, 3649, 9901, 8199, 5224, 564, 7508, 7967, 4143, 3124, 8253, 7355, 7398, 9151, 3070, 8076, 5789, 3183, 8868, 8835, 5842, 4068, 9139, 4022, 6942, 4427, 9977, 5536, 594, 6649, 4438, 534, 5016, 7017, 4342, 8181, 8337, 8004, 8066, 1748, 8290, 7598, 5273, 4001, 2396, 7843, 3752, 9179, 9226, 8718, 4106, 1127, 5451, 4993, 8327, 1525, 9192, 4641, 8079, 6516, 9916, 9015, 6057, 4187, 2002, 6434, 7889, 8905, 2864, 4127, 1504, 9704, 4240, 9368, 9678, 2124, 5713, 5784, 3505, 4446, 2588, 6312, 271, 3348, 5682, 9700, 6438, 8693, 3168, 1874, 5200, 1016, 5429, 854, 9555, 8099, 4951, 122, 2580, 2320, 6329, 9909, 9130, 5543, 6255, 437, 5605, 5010, 8747, 5665, 9541, 2780, 1846, 838, 6387, 1905, 563, 5969, 8787, 5490, 6771, 5911, 5746, 9960, 9507, 8584, 6038, 8361, 4606, 1279, 7313, 5324, 4560, 3126, 3266, 1692, 5671, 9347, 332, 8663, 226, 4722, 5600, 7801, 8916, 7405, 4962, 2350, 2953, 7561, 1049, 7792, 1712, 4312, 5044, 5963, 8688, 3590, 874, 53, 5767, 1226, 8776, 688, 7358, 7293, 7435, 1155, 1706, 8398, 3180, 5704, 127, 8259, 7138, 597, 2660, 6990, 9583, 4574, 8385, 8036, 5654, 3283, 7538, 4616, 4734, 6949, 1469, 9531, 7263, 5931, 5851, 908, 1015, 7349, 9551, 9585, 2623, 371, 8853, 5159, 9939, 6956, 4162, 5408, 1256, 8890, 7711, 5951, 247, 9734, 9086, 4094, 2332, 2366, 3483, 4758, 5613, 2108, 5753, 732, 4396, 6331, 1139, 1053, 1413, 6157, 9407, 8880, 6974, 5319, 3694, 6481, 8973, 8612, 6584, 2891, 3291, 1531, 4677, 5152, 8117, 6756, 6536, 2563, 8084, 3509, 8676, 5239, 4075, 1337, 5515, 3279, 4871, 6183, 9277, 5723, 4590, 8451, 3144, 520, 8704, 9996, 7057, 2595, 5413, 5460, 6486, 6085, 924, 7793, 3481, 3965, 9121, 3993, 436, 9302, 5523, 7907, 9565, 3464, 7094, 2246, 8075, 4507, 2706, 4353, 4668, 9694, 40, 9343, 3739, 7717, 6472, 4667, 8025, 8469, 1806, 3550, 289, 4838, 1678, 2867, 2928, 9018, 9913, 2871, 8861, 7442, 694, 3400, 1745, 8248, 8735, 2457, 111, 5683, 635, 2618, 7234, 3570, 3959, 3436, 1689, 4822, 2656, 7168, 3802, 4204, 2764, 9356, 6349, 9339, 7136, 4880, 3240, 706, 4227, 2614, 1499, 6847, 4611, 1242, 4729, 3014, 1990, 9396, 6652, 5698, 1427, 1304, 1584, 7353, 6011, 2989, 2219, 4020, 7337, 8427, 8958, 5216, 1665, 2966, 6779, 4089, 6268, 390, 3494, 5984, 8578, 5955, 4078, 67, 3806, 6648, 957, 6664, 7840, 209, 8037, 6071, 4131, 3780, 2398, 1693, 9701, 1034, 3100, 5538, 9393, 2198, 1004, 4269, 3163, 5439, 9375, 2880, 4233, 4896, 6605, 9316, 513, 4907, 3942, 4782, 4285, 2024, 5459, 4778, 5933, 9769, 4582, 3331, 8994, 2961, 6914, 2905, 6818, 7956, 6654, 2817, 9216, 1460, 23, 6417, 7027, 9287, 3452, 6252, 7984, 44, 2583, 3120, 1258, 5806, 6170, 4216, 6606, 7913, 2922, 8697, 4821, 1794, 4181, 4526, 7344, 4304, 2600, 4365, 2795, 259, 1707, 4591, 998, 8212, 2153, 8738, 6456, 421, 7323, 6828, 3991, 4733, 5363, 9982, 5045, 5114, 8127, 1018, 1516, 4025, 3574, 9865, 6005, 9915, 8537, 5615, 3831, 1227, 7514, 3334, 2407, 3308, 9535, 1747, 8932, 6294, 7450, 5313, 9587, 6306, 8137, 6595, 9094, 5207, 1945, 4412, 8581, 3362, 9964, 7282, 5169, 6972, 3638, 5485, 6083, 8599, 4921, 6888, 3079, 1862, 1677, 9689, 309, 4362, 4813, 2877, 2888, 9653, 3393, 9504, 7999, 5739, 2748, 5533, 862, 3828, 2033, 964, 4531, 6298, 4442, 8649, 3470, 7694, 9426, 9835, 8034, 1965, 2317, 3908, 9627, 4780, 6160, 4933, 2372, 3641, 4680, 1013, 6301, 3762, 5328, 2061, 1409, 1403, 4719, 5535, 400, 410, 7114, 3934, 1819, 3236, 2840, 1859, 7607, 2163, 5110, 1432, 9979, 5612, 6690, 8936, 7728, 5712, 2913, 6744, 1354, 9459, 162, 9422, 9593, 6955, 6143, 7854, 8028, 4908, 601, 4434, 9250, 6835, 229, 4948, 3426, 583, 7080, 9213, 6897, 3488, 6661, 9601, 6577, 3167, 8387, 7086, 8673, 3582, 9168, 6304, 5173, 6403, 7875, 616, 4262, 9386, 2733, 4752, 4569, 7841, 8126, 2991, 8609, 5334, 7892, 179, 1436, 9501, 2373, 7464, 7404, 6866, 1284, 1823, 5067, 5696, 8827, 8519, 1164, 1233, 3226, 1922, 5419, 9146, 8871, 1948, 2584, 1133, 4283, 4158, 2930, 9334, 3708, 3576, 2915, 4393, 8940, 5695, 8016, 6158, 5283, 1393, 7549, 6309, 5915, 6226, 8341, 1741, 5637, 4935, 1177, 4373, 6705, 405, 2472, 4456, 9286, 7072, 1590, 3551, 8116, 7653, 8561, 9047, 418, 7895, 472, 4322, 3525, 5309, 5501, 7098, 8571, 2249, 4026, 1116, 9450, 1757, 7140, 545, 659, 5103, 2145, 4207, 3618, 3990, 4762, 968, 395, 1378, 4512, 5860, 3416, 9971, 9780, 2201, 1050, 6314, 8702, 7567, 4528, 2493, 4542, 9053, 1094, 5678, 6999, 6443, 4009, 458, 9845, 4603, 4046, 9061, 9294, 8455, 996, 5125, 5191, 3490, 3294, 4707, 3534, 1626, 7655, 4728, 4814, 392, 7531, 4481, 9690, 6750, 1263, 420, 4167, 9135, 7406, 3305, 3213, 2502, 9698, 1022, 3027, 3588, 895, 5601, 2071, 9688, 7556, 7614, 2007, 7249, 5552, 6137, 6193, 5551, 9075, 4957, 403, 7839, 4244, 5945, 5980, 1503, 3200, 126, 9449, 6754, 2172, 4524, 4796, 5097, 1404, 3475, 7873, 5590, 1134, 3178, 9417, 4303, 5936, 147, 3668, 6378, 2667, 1907, 434, 8183, 2388, 8024, 4165, 7479, 9642, 7068, 8151, 2612, 7447, 8948, 793, 7488, 7709, 7931, 7708, 1078, 1396, 4919, 3976, 863, 9322, 6621, 7616, 1095, 2429, 9547, 5516, 424, 5098, 4646, 2752, 9432, 6821, 9703, 5641, 7056, 9064, 1808, 5672, 5184, 931, 1188, 294, 1500, 113, 9892, 7306, 4941, 9956, 2636, 2072, 9973, 8752, 4971, 5692, 9889, 7857, 6291, 273, 2727, 2675, 2539, 4347, 9209, 8917, 6627, 8805, 7936, 7883, 2510, 2434, 9281, 5960, 8678, 6299, 8771, 6757, 5649, 9963, 1803, 5153, 8439, 4337, 4557, 1241, 6782, 4137, 1385, 9509, 5923, 3177, 4604, 4978, 2506, 7046, 5718, 2500, 181, 3355, 4060, 845, 8754, 5588, 3611, 8756, 4054, 760, 4080, 8640, 4864, 6262, 5788, 6953, 6172, 2013, 546, 7060, 5811, 5070, 3629, 4743, 7203, 3463, 4387, 6489, 1709, 3166, 4471, 1322, 3222, 736, 3074, 5464, 2664, 7315, 8317, 7970, 5507, 4573, 5773, 1148, 642, 1975, 2383, 2225, 5049, 3043, 5998, 6742, 2093, 4772, 4305, 9131, 8042, 9749, 6658, 6278, 3434, 550, 5799, 2347, 2933, 9403, 3061, 2098, 7941, 8434, 1917, 2771, 1716, 4843, 9671, 9285, 4489, 8122, 9389, 8093, 3933, 8700, 2264, 3188, 6449, 2677, 6712, 5659, 1717, 9134, 855, 471, 985, 3539, 497, 676, 6069, 8401, 8396, 8572, 9032, 9110, 4654, 4540, 7530, 6706, 3487, 4609, 8192, 2101, 1278, 4815, 6917, 6328, 6928, 2382, 4111, 8202, 1580, 9812, 2723, 97, 2386, 8374, 5235, 3116, 9753, 38, 423, 2312, 2598, 1804, 3628, 9349, 524, 6439, 8607, 6446, 2827, 5078, 1205, 9440, 5609, 5407, 4448, 8789, 6245, 1847, 5914, 1931, 3184, 6695, 5686, 1771, 697, 5820, 2188, 4544, 3261, 2239, 8694, 9234, 1486, 3468, 8687, 5369, 7015, 5990, 5259, 4297, 6074, 2737, 298, 4126, 6551, 1135, 3706, 3367, 9837, 1194, 7879, 6973, 9709, 2902, 8146, 6338, 7180, 250, 6793, 1652, 2204, 9444, 4425, 6802, 9767, 1079, 501, 4007, 8614, 8113, 6323, 7888, 3902, 8276, 5426, 4795, 8806, 5883, 4480, 3994, 5761, 3476, 2222, 6826, 9950, 1728, 6796, 2263, 9184, 3238, 7678, 368, 7226, 4679, 6505, 873, 3341, 4318, 8314, 9560, 2035, 5165, 5625, 6569, 7266, 6769, 9169, 9476, 4638, 3430, 6321, 5651, 3975, 7327, 5274, 3742, 7183, 3584, 1674, 1941, 5379, 9247, 6729, 5853, 6857, 9147, 4019, 3345, 6860, 1355, 7097, 1327, 7279, 4171, 7921, 605, 4055, 3961, 9033, 1391, 5427, 3244, 1554, 6743, 8523, 4295, 758, 8270, 4265, 6580, 2015, 5491, 1474, 3987, 4437, 2884, 4888, 1492, 5276, 3503, 206, 4703, 5627, 8589, 1117, 5021, 3792, 8403, 2633, 7945, 757, 3284, 2582, 1658, 9951, 5446, 4107, 8841, 473, 7347, 5342, 693, 3997, 9019, 5528, 2470, 8862, 9849, 1007, 9768, 2714, 2794, 2157, 8918, 6335, 9637, 4208, 6029, 7770, 1844, 7419, 1220, 6842, 2895, 5961, 5664, 6344, 9090, 3, 4366, 3878, 5685, 528, 5994, 6247, 7628, 587, 9670, 9772, 6106, 1882, 4915, 1293, 4276, 5506, 3115, 7797, 8184, 5809, 1758, 4865, 8101, 5322, 439, 5217, 9665, 6904, 1552, 3599, 199, 6623, 1108, 9944, 9175, 8636, 7957, 8174, 3190, 7102, 460, 3807, 3062, 7471, 4824, 9926, 7919, 3272, 5764, 1611, 1960, 2278, 3815, 8758, 5677, 27, 3810, 2648, 8302, 3423, 6072, 5068, 5909, 8799, 6673, 6391, 7539, 9711, 6533, 5212, 2605, 984, 7935, 6250, 1988, 5879, 9828, 894, 7135, 4130, 7905, 375, 2243, 1031, 6525, 8459, 2686, 3776, 9746, 5256, 8596, 1121, 7456, 7069, 4230, 2179, 6830, 6508, 55, 8375, 9677, 5807, 1211, 7425, 7667, 5143, 3791, 777, 4453, 6765, 4238, 8661, 3203, 9186, 9718, 2684, 5242, 9268, 1664, 2551, 7283, 7366, 4407, 1421, 716, 8225, 1451, 6885, 883, 2271, 5302, 2236, 4414, 2139, 1839, 5263, 3642, 5924, 6655, 8236, 7146, 5504, 7855, 3271, 428, 2972, 8001, 7, 1332, 6711, 790, 1662, 7807, 9371, 2846, 8539, 4458, 7942, 826, 1243, 3104, 1280, 9126, 8164, 2143, 5830, 5138, 6506, 5156, 6803, 3418, 6316, 6287, 5147, 6840, 1832, 2996, 7033, 6633, 5930, 592, 5421, 6097, 2189, 2389, 6612, 8742, 3257, 7400, 9428, 9590, 3501, 2354, 1618, 4102, 7784, 4522, 2820, 8267, 3886, 6089, 5907, 348, 9083, 3602, 3051, 8448, 8432, 7129, 4779, 5529, 2138, 7352, 243, 2647, 2028, 3709, 2672, 7645, 5890, 70, 5230, 6435, 8855, 6201, 939, 464, 4497, 7433, 8692, 8510, 3624, 5866, 8500, 8428, 8555, 8379, 4081, 8288, 5912, 2836, 6117, 6775, 7817, 3873, 2952, 110, 5926, 5619, 8242, 3302, 6601, 6369, 745, 1559, 4862, 2599, 1708, 9279, 6697, 1686, 2060, 1694, 1513, 4879, 5699, 8238, 3199, 1222, 4624, 5500, 4697, 5727, 9856, 477, 555, 2483, 396, 3917, 2420, 6216, 5848, 6666, 1360, 5383, 5083, 9556, 889, 6739, 3052, 1445, 7849, 5954, 1521, 8150, 8933, 9933, 631, 9966, 2926, 5174, 5744, 2713, 171, 1759, 24, 9840, 7968, 7232, 7809, 59, 9630, 6731, 5123, 787, 1029, 8133, 735, 1008, 9827, 7220, 4889, 7520, 1365, 8147, 4535, 9655, 2796, 5244, 759, 118, 4656, 9922, 5271, 7199, 8931, 7179, 2403, 8619, 750, 1236, 5861, 4953, 3161, 7867, 9675, 8548, 7641, 2070, 3513, 8732, 9808, 2671, 2739, 2137, 9196, 8438, 1417, 3977, 5352, 3411, 2488, 3657, 7368, 1132, 4991, 5288, 9814, 1571, 5938, 6809, 4385, 6239, 7838, 450, 9545, 3465, 9862, 378, 2558, 5862, 6087, 7692, 7787, 9855, 346, 3615, 5104, 9123, 1282, 3944, 9961, 5720, 6599, 5226, 343, 5885, 6668, 7058, 5074, 2122, 6155, 9452, 2165, 5136, 7328, 761, 9101, 7617, 9189, 9027, 4478, 3559, 1814, 6190, 3661, 6244, 3030, 3898, 9164, 1865, 5875, 9077, 95, 2990, 7755, 6681, 5743, 1017, 3042, 6997, 1438, 665, 8737, 2173, 9736, 7927, 4846, 7254, 8145, 7061, 2998, 2272, 5567, 2237, 4109, 3459, 8020, 5979, 4274, 4098, 9451, 6099, 9904, 5674, 5843, 9661, 4267, 3432, 4998, 2117, 3553, 6115 ], [ 4178, 4575, 7461, 2229, 138, 3054, 8538, 8753, 1796, 3647, 9275, 202, 9174, 6861, 7154, 5493, 6218, 2053, 6600, 4310, 3329, 6850, 8406, 3125, 7821, 4516, 9617, 5891, 8568, 3910, 7131, 8642, 1356, 7494, 318, 8671, 3840, 7651, 2133, 9598, 7804, 997, 8785, 5943, 5119, 2051, 6647, 4219, 1084, 9540, 5975, 8518, 4681, 1953, 74, 9886, 9409, 4431, 6738, 7187, 6392, 6560, 5750, 9108, 2711, 9502, 537, 255, 7934, 8424, 2890, 1046, 1197, 1379, 49, 837, 200, 5652, 5401, 7672, 8736, 626, 5903, 8955, 1077, 5109, 4634, 7689, 4226, 7108, 935, 4138, 2401, 5898, 4744, 7275, 8935, 8308, 7669, 3149, 6708, 7620, 4048, 1030, 2581, 252, 4700, 9863, 1333, 6641, 4051, 9207, 6678, 8943, 5116, 1634, 6339, 9952, 374, 6892, 6597, 9337, 5039, 3768, 5814, 454, 7930, 3659, 3750, 3885, 1430, 1654, 3604, 161, 2365, 6755, 7412, 7504, 9608, 253, 9891, 9756, 7277, 638, 8003, 195, 1368, 7720, 2240, 9877, 9879, 7980, 2433, 5272, 301, 1328, 9140, 2416, 8803, 5312, 2158, 2960, 1625, 6825, 2931, 7789, 3645, 6879, 3414, 4436, 4292, 2608, 6035, 8925, 7596, 3013, 3670, 6701, 201, 9795, 4520, 1126, 9907, 725, 8089, 8949, 5846, 6023, 1479, 3428, 1635, 1631, 4626, 9755, 7415, 3117, 8166, 9024, 3640, 5916, 41, 1184, 1879, 5275, 6371, 4661, 1773, 9416, 8631, 8366, 4577, 3971, 8988, 9222, 9807, 116, 766, 9851, 6111, 9745, 2196, 2486, 6611, 1624, 8258, 4154, 1690, 248, 5560, 7014, 2471, 313, 1544, 1873, 7582, 7515, 4633, 5874, 1799, 9074, 6145, 3764, 7595, 1415, 2700, 734, 9271, 4840, 6103, 3485, 4883, 3819, 3012, 6483, 8679, 8418, 5339, 5398, 9838, 8847, 2730, 8597, 7972, 2833, 3086, 8576, 3137, 4223, 1298, 588, 2159, 3072, 7100, 582, 627, 6550, 1146, 2798, 1510, 1863, 6833, 6088, 8005, 9696, 3128, 3397, 1000, 9712, 590, 3201, 8610, 1443, 2289, 26, 7423, 3106, 7268, 8081, 7267, 7754, 6607, 8021, 235, 3727, 6692, 4301, 9981, 1189, 634, 9265, 6138, 2886, 1765, 2025, 5449, 2146, 5468, 9529, 4058, 3087, 8618, 6448, 6346, 9873, 8810, 6543, 469, 6248, 598, 9820, 8217, 6280, 669, 9618, 8344, 5632, 7627, 8415, 212, 9111, 304, 7074, 3699, 7664, 7572, 9406, 8872, 3157, 5611, 4856, 8946, 827, 3119, 6676, 3306, 1367, 3901, 7227, 4439, 614, 2980, 5232, 4484, 1807, 3982, 7551, 4296, 7503, 358, 1002, 6177, 2528, 4398, 6223, 6109, 3496, 5725, 4727, 3928, 7955, 269, 7909, 1918, 9223, 5483, 1150, 1156, 2068, 1331, 6263, 5733, 5780, 4466, 9025, 6507, 2986, 2114, 2322, 2885, 4462, 768, 1179, 2077, 1818, 3056, 9789, 8077, 7986, 6393, 9124, 3796, 6702, 8273, 4692, 7079, 8668, 948, 6385, 1206, 3377, 2511, 1813, 2136, 4289, 2566, 3239, 8388, 2387, 5389, 2184, 5942, 9138, 950, 3453, 2333, 1567, 1754, 3311, 9490, 6523, 897, 4537, 7829, 5061, 9288, 6410, 6615, 223, 7418, 9423, 3610, 6313, 5423, 1793, 1902, 3242, 2571, 2395, 8190, 4851, 1457, 5479, 7529, 5981, 2592, 7528, 4958, 4984, 2283, 784, 6618, 135, 3351, 5970, 1851, 1402, 1261, 1321, 7744, 7334, 7781, 8322, 4077, 4790, 1568, 4709, 4316, 8996, 7864, 9180, 1110, 1506, 7581, 1574, 3127, 6890, 6662, 8734, 7077, 5982, 2308, 1548, 7395, 9624, 533, 9228, 612, 9770, 3094, 9128, 2572, 6906, 384, 9117, 9346, 8013, 83, 1414, 3145, 5206, 3020, 6786, 1892, 6197, 6719, 3554, 6477, 3237, 9376, 6125, 8728, 7922, 3433, 1109, 3920, 4357, 9051, 4320, 3378, 6501, 4404, 8135, 5717, 2088, 945, 4936, 951, 8989, 4252, 3440, 8583, 121, 2848, 7038, 3868, 8414, 6139, 832, 2247, 4331, 9720, 3324, 2446, 4314, 1439, 2223, 738, 4554, 5766, 525, 7740, 1057, 2369, 7929, 2215, 7308, 2872, 7900, 6797, 2321, 8309, 523, 9106, 4949, 9221, 6302, 6934, 1613, 4981, 3738, 4421, 5278, 9843, 2300, 5029, 6253, 9998, 3249, 5835, 1059, 8921, 5629, 4429, 4293, 6752, 4336, 9574, 3723, 2112, 5872, 2499, 1822, 5149, 7850, 2993, 4965, 5650, 8209, 2862, 6059, 6988, 4076, 402, 7686, 2213, 7767, 4220, 1433, 139, 7211, 3444, 7495, 7009, 6079, 5280, 9280, 5221, 3734, 431, 3568, 2155, 9089, 947, 9787, 912, 1858, 5666, 1025, 869, 2003, 7713, 9549, 112, 2807, 4708, 4159, 2437, 3039, 9577, 4309, 9761, 5892, 3542, 7297, 2976, 495, 354, 708, 9492, 609, 6672, 5069, 3395, 7112, 1528, 215, 7870, 3596, 8056, 242, 2011, 9402, 9945, 6237, 2491, 2026, 9610, 2466, 5101, 7796, 267, 8986, 8517, 6832, 4406, 9323, 3076, 1891, 448, 2804, 8370, 9485, 456, 9954, 6372, 4005, 4586, 4967, 3376, 9538, 2536, 8605, 1041, 8971, 4325, 2602, 9521, 9307, 7928, 8205, 6714, 965, 482, 1508, 5925, 1214, 261, 7910, 6256, 4805, 5139, 9420, 3891, 1630, 8879, 7932, 7377, 6162, 8644, 9563, 1699, 2336, 8885, 2755, 3769, 5215, 9144, 896, 3268, 8838, 6077, 5488, 988, 1543, 3848, 5496, 8363, 5946, 1642, 2281, 9116, 5554, 7696, 9103, 9842, 1068, 8533, 8580, 6402, 3870, 6723, 5233, 5532, 1954, 8194, 4610, 1060, 2144, 4740, 2863, 9868, 1406, 6058, 893, 7659, 8832, 2218, 586, 6530, 8408, 219, 3954, 8472, 6767, 2760, 753, 2938, 6526, 1370, 9646, 3687, 2314, 3338, 5962, 7104, 7676, 1234, 8040, 7016, 6965, 5941, 3292, 1753, 2668, 2615, 1465, 9142, 3658, 2702, 6380, 8731, 1442, 7382, 388, 6568, 3103, 4455, 4990, 9099, 7688, 3829, 3925, 721, 5178, 7519, 5550, 8698, 3385, 1914, 6468, 1920, 2094, 7460, 4715, 3974, 5849, 551, 6001, 4658, 9887, 6511, 2096, 9315, 7298, 5011, 7995, 8188, 7392, 7782, 4033, 1275, 8501, 3998, 1231, 1691, 9542, 7485, 1252, 2621, 3516, 2295, 4750, 4329, 62, 2822, 1105, 4330, 3660, 2432, 1055, 6727, 6749, 7076, 5711, 9983, 5995, 8203, 4918, 4657, 667, 29, 3823, 9160, 1229, 1802, 8215, 3793, 9927, 9972, 2770, 5599, 8411, 3493, 3425, 1313, 3375, 7238, 1762, 7649, 8712, 430, 1200, 4974, 4232, 9553, 4346, 5798, 8208, 7604, 5458, 9959, 1725, 7484, 685, 5565, 5900, 1033, 3450, 6019, 7705, 500, 7134, 4696, 7120, 5638, 5356, 7524, 3435, 673, 6144, 465, 5402, 1522, 5920, 7380, 709, 7427, 7778, 9464, 3717, 687, 8141, 5643, 415, 3347, 9497, 5329, 2526, 5668, 6883, 5729, 2594, 2081, 5906, 3108, 1316, 5724, 3307, 6073, 7975, 45, 1751, 3230, 4652, 7145, 6969, 1638, 3216, 6225, 727, 6185, 9965, 3339, 1831, 8054, 5260, 8585, 1511, 8699, 6474, 6841, 4567, 3182, 720, 5079, 4100, 6638, 3409, 3001, 2270, 9035, 3479, 208, 370, 6174, 8991, 1452, 4311, 2495, 8130, 9919, 7322, 9616, 9085, 5722, 3779, 7202, 9473, 4672, 2149, 9466, 7492, 5441, 5697, 2839, 4122, 8727, 7152, 1480, 5331, 5569, 1069, 7330, 3778, 2357, 1614, 360, 1973, 6812, 9525, 6653, 1781, 8495, 911, 9740, 6532, 1066, 2301, 6798, 4052, 8729, 7063, 5040, 9259, 1766, 213, 4032, 6141, 8463, 5186, 4977, 9721, 297, 4550, 7990, 4593, 7853, 9364, 66, 8071, 9344, 1558, 9256, 7473, 8783, 4056, 2057, 1301, 3571, 7861, 380, 577, 6645, 8300, 7806, 3950, 8219, 7880, 6891, 6081, 2704, 8235, 7897, 8108, 7361, 6893, 2004, 2065, 7558, 2005, 6675, 7312, 276, 8233, 8981, 4825, 3212, 4291, 8951, 2619, 2620, 6168, 4620, 6176, 2421, 128, 3577, 7035, 3896, 7992, 3724, 4411, 398, 1440, 5393, 1502, 5845, 6868, 1308, 7823, 4205, 1347, 6814, 836, 6954, 4905, 315, 960, 8478, 4348, 5620, 2720, 2287, 6015, 8426, 1705, 2967, 8156, 4876, 9298, 1993, 7660, 3835, 7677, 2050, 8913, 2631, 3692, 2110, 5266, 4168, 2393, 7040, 8664, 5660, 92, 9066, 9303, 6065, 9312, 8930, 9636, 2651, 6725, 3154, 1419, 4256, 3211, 230, 7463, 5919, 8092, 7629, 1553, 9847, 9518, 3930, 6219, 2397, 9097, 7886, 6535, 2019, 2128, 3877, 4003, 4932, 1537, 7630, 1006, 9918, 8487, 5596, 9564, 2851, 7231, 6478, 9559, 1958, 5236, 7182, 1295, 7151, 9357, 7437, 8467, 5477, 1591, 881, 1545, 4268, 2276, 628, 9069, 3075, 2622, 4465, 6924, 8195, 3593, 806, 32, 7584, 1359, 4503, 5082, 8015, 3410, 9908, 2160, 3263, 9869, 1721, 514, 677, 797, 8821, 1549, 1517, 658, 5618, 7722, 3326, 7222, 689, 453, 7384, 1724, 9162, 9825, 9871, 1782, 7668, 9708, 2544, 6422, 8923, 7671, 8543, 8798, 9439, 558, 1582, 1854, 1872, 8035, 9668, 3174, 468, 4015, 7390, 5524, 7654, 1418, 1186, 9533, 1825, 6609, 572, 1411, 308, 8211, 2330, 9594, 5876, 4718, 9870, 1416, 9764, 459, 789, 5420, 1462, 901, 6206, 9953, 4875, 3269, 7359, 6491, 7891, 8984, 8843, 7156, 1054, 780, 2242, 3825, 8514, 1392, 5904, 3248, 6875, 5377, 1633, 7965, 78, 3172, 1390, 7280, 2541, 794, 722, 9398, 7118, 4294, 5304, 6521, 5989, 3725, 4215, 4251, 3067, 6452, 2131, 3467, 4922, 8914, 4644, 4259, 963, 2329, 4120, 1987, 2427, 6622, 9955, 2017, 1315, 3356, 9710, 9882, 2438, 175, 1136, 1092, 8254, 8260, 8820, 6870, 155, 6265, 1704, 3884, 1673, 6741, 1448, 1283, 5867, 6922, 5997, 7253, 2819, 8709, 9190, 7414, 8952, 8255, 4324, 2533, 5157, 8522, 8369, 1334, 1387, 7762, 4923, 6209, 942, 2505, 1950, 8852, 80, 8651, 5050, 7548, 4288, 481, 3716, 1667, 8216, 4773, 8272, 8152, 2695, 4834, 9023, 726, 7827, 6275, 9332, 5355, 2277, 2999, 176, 8323, 2943, 3922, 2550, 932, 4866, 9345, 3033, 1606, 5631, 2646, 3130, 6044, 2512, 7044, 8412, 8281, 5544, 2638, 1886, 2732, 3809, 8907, 7259, 2705, 918, 6285, 1679, 5052, 7824, 1676, 3989, 3938, 7286, 5583, 1608, 7301, 3489, 6282, 6124, 8920, 7189, 8582, 8886, 9291, 6470, 3372, 328, 3389, 3417, 6703, 5763, 9914, 2367, 3911, 4622, 3318, 6479, 8966, 2340, 7457, 7240, 4096, 3175, 2562, 5374, 4816, 7105, 1957, 5571, 7802, 5031, 5824, 6464, 816, 7411, 1996, 8569, 811, 8453, 4119, 5120, 5776, 2269, 6722, 7969, 5005, 3319, 8662, 2997, 1649, 7831, 4352, 6, 696, 1097, 2578, 4057, 98, 8266, 491, 1228, 6541, 7166, 771, 8420, 5482, 1645, 7141, 7274, 7500, 9663, 4506, 6905, 2920, 5397, 2107, 5837, 8552, 2858, 5320, 6698, 4254, 6811, 7215, 5537, 1215, 4124, 7830, 361, 6274, 3600, 565, 3092, 3894, 6937, 5752, 6945, 3607, 9000, 2574, 1045, 1219, 8613, 7242, 3241, 7600, 3482, 5198, 9237, 7089, 4203, 7490, 5840, 5134, 9505, 9613, 5306, 579, 8535, 5759, 5366, 8351, 5957, 6458, 91, 678, 4496, 8232, 5509, 4558, 9363, 4767, 4334, 821, 8394, 7562, 4771, 8987, 6076, 5721, 4018, 4619, 2740, 7420, 349, 7440, 3095, 5018, 7149, 6465, 619, 1562, 3379, 3460, 2710, 8421, 1388, 510, 1555, 1248, 8741, 64, 7785, 8303, 7111, 1720, 7169, 3298, 8950, 8796, 4995, 6228, 5573, 2411, 8229, 9489, 8684, 7815, 5400, 6325, 3383, 2968, 2757, 2392, 3719, 6450, 4224, 6992, 9782, 5394, 4884, 4482, 5277, 2813, 8990, 4608, 4345, 3448, 3141, 2066, 2245, 4451, 3541, 8897, 6852, 5795, 2100, 7535, 6340, 6589, 7065, 7489, 5025, 5229, 6682, 4376, 7106, 7281, 7670, 3235, 9686, 1925, 1583, 3332, 8881, 4926, 1621, 2040, 1459, 8335, 9732, 1767, 3740, 695, 9562, 9569, 3148, 6407, 2121, 9172, 2080, 8381, 3064, 6187, 5952, 581, 329, 7772, 9737, 4751, 2567, 8129, 1723, 3274, 8277, 4628, 4671, 8963, 7646, 3289, 8064, 3893, 227, 5222, 3617, 86, 4354, 9204, 5428, 2192, 8812, 164, 857, 9834, 5422, 2655, 7285, 3325, 9448, 9816, 7800, 90, 3592, 5066, 4112, 4852, 9002, 8241, 4576, 6345, 6420, 134, 3057, 3634, 7699, 7773, 3871, 442, 6146, 9296, 7190, 3286, 1335, 4947, 7771, 3845, 9911, 710, 5140, 381, 7003, 1297, 569, 2518, 9758, 4549, 265, 2708, 351, 3741, 5887, 4452, 7201, 9896, 9030, 786, 9335, 831, 350, 407, 6921, 8656, 8815, 1878, 7184, 8762, 2882, 3612, 3849, 2936, 6845, 4083, 4105, 3882, 6353, 4794, 4713, 9510, 5362, 914, 6192, 535, 4811, 6604, 6283, 3693, 9284, 1271, 7070, 4473, 8143, 6709, 2307, 9621, 6405, 9392, 4775, 1026, 5959, 8269, 593, 4361, 5325, 6610, 6148, 7580, 6898, 2781, 5203, 6495, 4375, 6364, 1277, 1167, 730, 109, 5316, 4264, 8873, 5396, 4016, 9327, 5185, 2791, 1358, 1636, 7764, 5865, 5180, 9012, 8896, 3948, 8784, 7198, 9236, 779, 9910, 6154, 2076, 5815, 2334, 2292, 160, 2626, 1383, 1100, 2298, 5617, 7903, 8155, 2576, 7759, 2896, 4979, 9154, 8306, 6517, 9370, 9672, 3531, 1288, 8471, 2690, 2095, 2311, 7342, 9267, 7252, 4901, 7777, 9361, 6773, 1052, 1341, 3390, 4371, 6559, 6126, 846, 4307, 2951, 3844, 5983, 1801, 5115, 7481, 4839, 1816, 3037, 2049, 4424, 5292, 9612, 1688, 8874, 1104, 7153, 47, 2503, 5958, 426, 2238, 6717, 3817, 2286, 1934, 580, 4116, 875, 2995, 2326, 1426, 8993, 4319, 3887, 3337, 9457, 3002, 8346, 1737, 8695, 8102, 2942, 7729, 3162, 7210, 5559, 5127, 8639, 8903, 9570, 775, 8378, 847, 8100, 4691, 8637, 6332, 7028, 6381, 5707, 7693, 541, 5597, 4245, 1542, 178, 5189, 3565, 2174, 7006, 1473, 8645, 146, 2118, 6080, 994, 4377, 9224, 1617, 629, 3947, 8468, 2328, 7609, 6838, 4956, 3427, 5768, 7176, 2402, 2699, 5591, 4545, 4338, 6938, 3333, 6033, 4581, 2637, 4004, 5580, 7389, 5177, 3129, 3824, 7371, 8175, 1209, 1062, 8515, 8140, 9050, 3869, 7237, 6025, 3674, 6373, 2553, 2777, 205, 5376, 3155, 9483, 4182, 3937, 1792, 5808, 5607, 7568, 3613, 6659 ], [ 5434, 6979, 8068, 2722, 4125, 3273, 1434, 536, 3813, 210, 6002, 8780, 4468, 81, 2894, 5361, 7618, 2228, 2899, 3314, 8326, 9166, 8026, 4588, 4141, 3523, 5161, 5289, 907, 4630, 2378, 9493, 4449, 9477, 58, 2793, 1369, 3783, 9374, 3173, 4328, 192, 299, 1102, 3352, 3545, 7836, 4477, 1746, 3146, 5345, 2233, 5113, 4505, 8666, 9252, 3677, 5587, 7635, 2673, 698, 8831, 8393, 7332, 5323, 7381, 7662, 2543, 6614, 9233, 3454, 3788, 6699, 6359, 4669, 9832, 1005, 7988, 1777, 2767, 3364, 773, 3820, 623, 4024, 4717, 1137, 4037, 3026, 5270, 4759, 159, 3209, 8498, 5614, 303, 8934, 3760, 2125, 4403, 7139, 5545, 5296, 1169, 5250, 7236, 5064, 4069, 9872, 6518, 2256, 5974, 2498, 3421, 9054, 7191, 5300, 5424, 6471, 5858, 4047, 3198, 1828, 9516, 5359, 9830, 7914, 6733, 9004, 3771, 1398, 4538, 9425, 137, 8494, 5105, 3777, 3429, 4900, 1966, 518, 6440, 1648, 9355, 2255, 7335, 3059, 5841, 4129, 8397, 6352, 4739, 4510, 8053, 1639, 5150, 5517, 4034, 3252, 1342, 3231, 5542, 6687, 1394, 6770, 595, 8441, 7862, 8713, 3150, 2253, 3895, 2853, 7235, 7241, 7090, 2022, 1798, 5633, 4463, 5455, 2221, 1986, 6437, 1064, 3170, 9479, 8622, 6805, 321, 5480, 6637, 353, 1410, 2875, 4570, 2487, 2116, 8293, 3936, 1384, 3110, 507, 6562, 2461, 186, 5442, 1175, 7273, 4996, 4551, 341, 3142, 1977, 1670, 3219, 3403, 4712, 8888, 9705, 4909, 9884, 3228, 6056, 5669, 3191, 7446, 2552, 3365, 2190, 7422, 2869, 3701, 3586, 999, 3733, 6864, 4934, 1399, 7877, 103, 7229, 4785, 5210, 7560, 7034, 4149, 256, 3077, 6573, 4753, 1772, 4529, 6574, 9107, 2973, 3472, 3770, 1080, 3187, 5154, 9744, 4140, 2530, 3743, 9065, 527, 1834, 7193, 6009, 445, 3197, 6173, 5444, 6704, 2830, 554, 5403, 3757, 5204, 7316, 4881, 1120, 3041, 6667, 3250, 330, 5888, 5894, 5873, 6871, 7522, 5387, 4930, 3728, 3978, 9348, 2176, 704, 2525, 508, 9034, 3134, 6907, 5832, 3350, 1820, 9239, 1149, 9153, 8340, 9846, 1099, 7811, 6642, 5155, 853, 2669, 1587, 2779, 9092, 2903, 4675, 6318, 3979, 6021, 8593, 4731, 4853, 5151, 3446, 7579, 5964, 5020, 5745, 6024, 5128, 7673, 2577, 9543, 8265, 6556, 6960, 2547, 886, 4485, 2207, 3456, 4217, 7320, 1239, 2674, 6778, 3431, 1985, 2625, 3715, 9383, 4769, 5859, 6094, 5295, 6051, 9454, 4869, 6558, 7541, 5405, 6042, 979, 5547, 2252, 6354, 1655, 2632, 4754, 9404, 1904, 1268, 9932, 1647, 2897, 7959, 8520, 6210, 5090, 5172, 3010, 5756, 4494, 7751, 5586, 9096, 8356, 1870, 6740, 2231, 6416, 8201, 8189, 6920, 7317, 364, 34, 8298, 4647, 2341, 2984, 2776, 633, 9491, 796, 5803, 5944, 6233, 1412, 1656, 9295, 7731, 655, 3775, 7426, 1207, 2001, 8162, 4079, 6964, 288, 8878, 1915, 1, 8740, 4959, 2058, 4994, 8477, 5135, 9680, 2825, 2318, 2663, 7410, 4085, 8262, 8061, 1998, 966, 8402, 1961, 237, 302, 8895, 425, 5131, 9798, 7351, 1103, 1775, 4367, 1838, 7230, 2464, 8672, 3575, 1646, 7127, 552, 714, 9446, 8877, 5059, 8720, 5508, 3557, 7383, 8654, 7278, 9605, 3018, 357, 5046, 6616, 3843, 1319, 4498, 9903, 5003, 1019, 1061, 2809, 3735, 433, 8685, 9167, 9938, 1424, 9026, 5475, 8107, 9885, 4730, 6565, 4911, 4237, 2679, 6229, 4059, 5253, 3923, 3384, 1795, 4148, 9272, 995, 1081, 1774, 1485, 432, 6849, 1866, 5417, 4892, 5456, 5333, 9367, 856, 6912, 8431, 6527, 6915, 902, 2142, 4492, 4592, 5679, 1538, 4973, 4828, 9659, 7748, 7499, 8628, 8525, 1982, 578, 1193, 5977, 1906, 4789, 2555, 2758, 7526, 1309, 1484, 1291, 3863, 8705, 4960, 8766, 9726, 7734, 664, 1178, 9623, 6878, 6169, 7808, 6186, 8601, 8757, 867, 4174, 9809, 2909, 3729, 132, 389, 8006, 3892, 9635, 3233, 1166, 5254, 3179, 1698, 4860, 4614, 4924, 6758, 5301, 475, 9073, 8458, 1810, 8111, 5447, 1778, 4885, 7130, 8251, 177, 1429, 543, 8602, 2484, 1024, 4612, 5624, 5628, 9773, 9666, 4519, 6319, 5108, 9159, 814, 9314, 9766, 3595, 5158, 3688, 1735, 1067, 1160, 2683, 6794, 6348, 8856, 5575, 3259, 3730, 3921, 2481, 4742, 958, 4400, 1320, 7810, 6630, 8214, 7916, 8480, 6322, 6204, 5877, 5220, 9946, 2425, 5287, 2835, 5775, 7938, 4835, 7295, 8087, 9149, 3342, 2741, 3698, 7393, 6656, 5734, 8574, 4975, 20, 5473, 974, 2186, 455, 3855, 6963, 8540, 5378, 1044, 7066, 8842, 5024, 447, 9067, 2898, 2444, 2055, 9763, 7475, 3799, 232, 9633, 2370, 30, 4704, 4260, 9581, 3822, 8112, 1153, 882, 9304, 4662, 9044, 8683, 3605, 6433, 505, 1875, 6578, 6513, 5162, 6414, 166, 316, 5950, 2985, 4539, 8052, 3515, 1628, 8115, 5372, 3985, 4997, 1303, 1450, 4172, 4043, 9462, 7477, 9475, 6052, 9725, 9313, 5282, 2575, 7124, 5899, 1729, 9649, 3368, 1074, 9803, 5348, 8979, 7387, 8790, 4797, 7893, 1389, 5656, 1564, 6846, 599, 7621, 972, 8243, 2977, 7680, 1668, 9045, 2743, 6476, 7343, 3616, 1464, 7434, 909, 6839, 4863, 9480, 4108, 9372, 7624, 7814, 7502, 4745, 9262, 153, 5735, 5623, 7834, 4584, 182, 7402, 7906, 9899, 7088, 1833, 6078, 1910, 8556, 394, 4627, 7469, 3627, 5966, 7491, 1669, 9243, 3049, 8982, 2569, 5689, 7902, 7055, 7848, 9412, 9676, 7204, 4433, 2812, 2450, 8206, 630, 1088, 7842, 6696, 1172, 940, 8105, 1351, 463, 3028, 7053, 339, 2150, 2285, 2044, 3121, 8179, 84, 2479, 2408, 42, 8772, 6498, 8476, 8546, 5644, 1249, 411, 71, 2006, 4474, 7207, 9469, 9796, 4028, 7894, 5338, 9935, 2361, 3247, 9921, 3278, 9619, 9145, 1115, 903, 3415, 2790, 3867, 6153, 9515, 9818, 8764, 5385, 4063, 1192, 8997, 3812, 1038, 6643, 4660, 3132, 5895, 6930, 1715, 280, 8230, 6496, 3521, 7925, 4391, 6178, 1089, 8246, 6134, 9522, 4402, 8200, 2059, 3517, 2152, 6585, 3484, 1784, 3556, 1488, 2315, 148, 7675, 6591, 7397, 2212, 4074, 1223, 5285, 6762, 567, 654, 7365, 214, 1663, 4807, 3875, 9823, 1610, 9260, 4500, 3206, 7391, 4899, 5094, 1305, 120, 6082, 1357, 7388, 8436, 8224, 4277, 9997, 2604, 5737, 9059, 9229, 4278, 4104, 2274, 868, 4623, 6854, 8392, 2293, 1058, 3601, 1519, 6104, 3686, 6691, 3085, 5303, 114, 3635, 9163, 6781, 3899, 2337, 8221, 9132, 2849, 2878, 8802, 680, 60, 606, 9600, 12, 5602, 4597, 8524, 9380, 3522, 2786, 9506, 1336, 6006, 5728, 440, 1093, 4157, 4479, 2719, 6716, 656, 8573, 1425, 4792, 9399, 8939, 9261, 6128, 8316, 292, 7998, 6497, 4589, 8884, 6488, 3392, 4711, 6007, 1596, 7735, 1487, 1123, 1929, 2154, 7257, 4969, 6341, 3906, 2784, 9511, 740, 2957, 22, 3874, 5978, 345, 2531, 4070, 4472, 3821, 8691, 2120, 3202, 1876, 3408, 8531, 9929, 7451, 2856, 4518, 4536, 7430, 1565, 8689, 8456, 7505, 2111, 6418, 6398, 4882, 5765, 7413, 8296, 4747, 4002, 8244, 8405, 5819, 7918, 7019, 1317, 5432, 9115, 624, 2522, 5293, 5999, 281, 6588, 8541, 5179, 2585, 8774, 4766, 2009, 949, 9722, 8553, 6475, 3537, 1201, 2284, 8711, 1423, 3060, 3003, 6764, 9257, 9990, 7186, 6791, 803, 8579, 4673, 4508, 8353, 4565, 3301, 4206, 8182, 2854, 1594, 5047, 3606, 9554, 6590, 1296, 6799, 852, 6916, 4651, 1176, 6243, 8680, 4594, 3826, 1144, 9122, 8120, 559, 930, 8409, 8123, 9615, 6127, 5577, 2327, 2954, 3245, 8696, 1790, 307, 2691, 9395, 1722, 3951, 4064, 6823, 412, 923, 1461, 699, 2643, 1739, 6242, 6624, 8319, 6499, 5645, 9817, 2294, 3387, 1787, 774, 2689, 5647, 5106, 3413, 711, 6457, 8826, 3746, 1294, 2089, 9992, 4723, 9857, 6367, 5658, 2517, 5598, 7813, 6151, 54, 4136, 7917, 5719, 4870, 1761, 9058, 1563, 632, 485, 4399, 9733, 3980, 9597, 4443, 6919, 3265, 1246, 4317, 8505, 8065, 8280, 9648, 7432, 198, 712, 6406, 5519, 3929, 8482, 1615, 7564, 4749, 7613, 3872, 4139, 7887, 4721, 8032, 2687, 429, 5762, 9567, 8442, 4084, 6975, 6428, 9752, 7081, 1951, 915, 4231, 5461, 9715, 6901, 7216, 3118, 4370, 9408, 9626, 8128, 190, 9220, 7045, 1681, 3839, 9150, 1171, 3996, 4430, 7468, 7296, 4599, 549, 5118, 9437, 3047, 8474, 2658, 2456, 2889, 6066, 2958, 9007, 156, 1091, 9962, 2792, 8977, 3330, 9829, 4695, 7458, 2130, 3500, 509, 2521, 840, 2323, 8177, 8926, 7050, 5247, 5800, 5023, 5384, 1395, 7160, 8464, 1939, 6685, 1604, 4587, 1173, 249, 9136, 615, 3451, 3391, 4774, 8839, 6120, 1776, 1306, 3581, 2355, 2516, 1269, 7727, 5326, 9777, 9673, 9435, 646, 6671, 1981, 6041, 4655, 1779, 2362, 6105, 1446, 7552, 4617, 1377, 6859, 3538, 1675, 1481, 8457, 6454, 672, 916, 270, 7557, 6810, 8271, 452, 3404, 4854, 8030, 8719, 4912, 788, 1599, 4784, 7346, 8822, 7698, 5791, 928, 5626, 2147, 3439, 3603, 4017, 2074, 6037, 1726, 9805, 2439, 5382, 7878, 2338, 1643, 5796, 8969, 6962, 6894, 7851, 408, 7399, 3280, 143, 801, 8019, 7937, 4486, 6726, 9925, 7899, 8373, 8320, 4914, 4189, 8509, 7172, 4358, 604, 8444, 6936, 9456, 1602, 4783, 88, 4509, 8953, 8598, 5910, 274, 5864, 4184, 1266, 2496, 5435, 3801, 7962, 2164, 6636, 2537, 8110, 4175, 5000, 6257, 2349, 5026, 3846, 3358, 7761, 9940, 1523, 1581, 6959, 2810, 8623, 422, 6441, 1221, 2971, 8646, 8437, 1603, 7403, 9948, 5526, 6761, 4830, 8650, 1111, 4030, 6977, 3569, 6281, 1353, 8833, 7590, 3939, 5882, 6582, 8283, 8755, 9839, 4200, 6279, 2917, 2352, 9017, 4940, 739, 9723, 8937, 466, 3113, 7527, 1955, 7783, 3530, 6419, 2109, 4674, 6254, 6792, 2818, 5747, 2244, 576, 7073, 1152, 9006, 8733, 3478, 1533, 3136, 7103, 9539, 7663, 2939, 7421, 6669, 3186, 5476, 1894, 7208, 1714, 1001, 9970, 6831, 7173, 9878, 1096, 9005, 6970, 4927, 1051, 5774, 9550, 8959, 7091, 6000, 6161, 1339, 8055, 9757, 6389, 4812, 7684, 8138, 8132, 1073, 3702, 2735, 7989, 8278, 4045, 7375, 519, 5797, 4195, 4515, 7866, 973, 4179, 1593, 9266, 6751, 2811, 9084, 955, 5932, 3023, 4649, 4770, 7766, 8611, 5973, 2, 2712, 8355, 1255, 3462, 7318, 1027, 7714, 2379, 3705, 2302, 9682, 369, 9819, 2900, 2850, 158, 1539, 191, 50, 3025, 6200, 7200, 3394, 8332, 4806, 833, 1140, 3088, 2596, 6693, 9227, 9185, 4829, 3309, 7244, 6571, 9009, 1216, 7247, 7378, 8331, 2039, 1431, 1927, 724, 7856, 7852, 5852, 8305, 9244, 9651, 3402, 3336, 236, 7532, 3102, 5634, 305, 7155, 2441, 7881, 5714, 639, 4097, 5701, 9212, 7540, 19, 7961, 5921, 2038, 7712, 4326, 1547, 8603, 7084, 782, 9652, 1496, 6787, 8462, 4422, 9995, 6524, 9888, 6266, 9155, 6544, 5790, 9629, 8218, 2296, 9165, 9813, 5126, 6482, 9293, 1843, 4931, 2385, 3654, 5291, 8050, 733, 8744, 4364, 2490, 3697, 6707, 5570, 7608, 2860, 2313, 1065, 1032, 2191, 5514, 2063, 8376, 992, 6785, 8502, 8158, 6249, 2092, 6986, 8846, 9713, 2364, 9943, 6882, 9429, 5311, 8682, 4556, 4495, 3189, 8865, 89, 8067, 3354, 2879, 8893, 9989, 4788, 4247, 1944, 3711, 6836, 1043, 4464, 3112, 899, 8830, 5241, 5810, 5511, 2414, 674, 7730, 1168, 7218, 8891, 1514, 7369, 1942, 9969, 8551, 1685, 6240, 7884, 8249, 8657, 8962, 5655, 1666, 4266, 5757, 1202, 5391, 7223, 3412, 2799, 3073, 2911, 8167, 8304, 438, 4906, 9514, 1972, 9893, 2210, 5144, 9063, 7428, 5218, 5182, 683, 4039, 8725, 9936, 3710, 1495, 6918, 6315, 7890, 6657, 5072, 2183, 7812, 7982, 9503, 4211, 1992, 7647, 1653, 6376, 8980, 279, 1749, 3909, 2881, 2187, 9231, 4629, 4469, 268, 2047, 7622, 3169, 4132, 6459, 2524, 8782, 3665, 5902, 1967, 742, 1509, 3682, 1660, 4435, 8819, 3890, 8090, 573, 6520, 1811, 1937, 7379, 3879, 5107, 7571, 4530, 560, 284, 1300, 2041, 754, 7466, 1661, 355, 2716, 347, 3765, 9119, 9311, 8245, 336, 7997, 4457, 5071, 6205, 5715, 3856, 6598 ], [ 275, 3090, 4676, 4854, 9245, 3325, 2864, 5990, 6619, 3557, 7918, 6285, 2414, 9346, 2018, 4922, 2628, 2408, 8172, 5197, 8436, 4658, 6158, 2343, 5060, 7785, 1691, 7907, 2510, 5993, 1241, 1212, 2992, 1233, 4619, 1100, 1146, 7718, 4392, 6760, 8339, 2266, 8006, 2033, 1892, 8014, 6918, 6302, 8743, 2279, 8600, 5667, 3190, 2340, 6896, 4236, 9887, 4560, 8540, 8583, 3324, 9150, 4791, 8982, 1689, 5280, 7256, 5208, 9389, 2445, 319, 1978, 2723, 2780, 9411, 3572, 8947, 6139, 714, 3594, 4564, 5483, 3897, 7009, 6329, 4924, 4995, 8630, 6672, 8357, 5648, 9502, 280, 6078, 8236, 936, 3015, 532, 2100, 1161, 2052, 4371, 9643, 8591, 8485, 924, 9114, 4660, 2437, 7483, 4888, 805, 3573, 161, 2499, 589, 5438, 6057, 5783, 9622, 6040, 6610, 769, 7381, 2252, 8303, 9104, 6039, 8580, 9147, 6941, 6500, 1722, 6655, 6962, 1289, 5637, 2890, 2822, 8612, 2042, 6802, 128, 6611, 9458, 8205, 2997, 2297, 4655, 6607, 6782, 9002, 5917, 6637, 2720, 2347, 7388, 1890, 5971, 7208, 9952, 6780, 6857, 6357, 4550, 3705, 4955, 1579, 9094, 1247, 4267, 165, 3479, 3535, 7274, 8858, 2019, 4869, 460, 3132, 2526, 9830, 5394, 2592, 8818, 241, 1987, 5185, 446, 5093, 1209, 3301, 3878, 6647, 1949, 9581, 2876, 6219, 5845, 7304, 8176, 6742, 2846, 1110, 1837, 333, 304, 4099, 5153, 114, 9354, 8133, 8211, 6684, 8458, 2505, 2823, 3753, 3604, 6841, 7370, 6923, 4943, 2975, 4390, 152, 672, 5534, 5061, 4155, 1563, 7942, 1069, 6132, 5907, 5518, 2958, 2514, 6511, 5258, 410, 5909, 6602, 1302, 7294, 9349, 312, 2773, 5292, 6361, 7375, 1000, 1789, 6657, 6564, 1700, 3823, 7733, 6920, 1812, 518, 7692, 4142, 2994, 9863, 1250, 6271, 7480, 1336, 4347, 8762, 9619, 6387, 8491, 5376, 8953, 5843, 2373, 3091, 6897, 484, 6007, 919, 8127, 2153, 7011, 2983, 8421, 9429, 5920, 4856, 8578, 2453, 3715, 7125, 8922, 606, 2910, 9997, 7507, 4774, 1894, 1791, 7154, 6192, 9266, 9765, 2144, 5918, 2097, 6866, 370, 6523, 5294, 8756, 9481, 8381, 7353, 4698, 268, 9927, 929, 206, 7906, 4911, 2816, 6544, 2932, 893, 9681, 8082, 3618, 1544, 808, 7114, 8360, 1065, 6380, 7681, 6127, 9311, 4397, 596, 5952, 265, 9342, 1823, 9607, 9089, 3254, 1356, 8220, 7111, 6491, 4920, 2388, 4202, 9085, 7696, 9144, 886, 3257, 5434, 1766, 9406, 3162, 9071, 5326, 9876, 1297, 905, 4687, 6075, 7041, 8611, 2068, 7938, 3315, 7100, 5937, 7505, 7725, 345, 1189, 5491, 5441, 8443, 7300, 6402, 2325, 6871, 6180, 7949, 3276, 7190, 3569, 2768, 7826, 6394, 2540, 7722, 2233, 7993, 5008, 9944, 7912, 9774, 7456, 8916, 4479, 5710, 9909, 733, 6849, 642, 2045, 6682, 8415, 468, 5380, 1137, 7590, 6289, 1706, 1913, 7477, 2781, 6065, 626, 7525, 387, 7147, 9751, 4017, 201, 7756, 1109, 173, 1325, 6247, 8432, 156, 8342, 3380, 7895, 5851, 5716, 405, 6594, 6097, 6548, 4873, 7277, 7575, 5469, 5852, 4312, 2320, 7211, 3192, 9969, 3886, 3134, 2043, 3004, 390, 4527, 2383, 7769, 1059, 8770, 776, 2243, 5914, 9399, 2145, 9219, 4569, 7046, 3898, 3432, 2925, 5796, 2032, 787, 326, 9047, 5430, 8658, 1041, 6939, 3566, 6724, 4953, 1734, 1516, 5632, 6506, 3182, 9026, 1644, 9623, 9138, 1460, 6965, 6969, 5866, 8801, 5658, 4482, 1048, 8476, 4437, 9102, 8370, 420, 4005, 4325, 5929, 7, 9811, 8873, 3462, 1101, 5391, 6141, 5995, 2953, 3711, 2330, 2519, 2391, 4503, 5349, 9224, 9038, 980, 8066, 9946, 9328, 9416, 8527, 2324, 4441, 4652, 9866, 7672, 6327, 1580, 8315, 3927, 6755, 1875, 4320, 8378, 4898, 6461, 4966, 4473, 140, 4176, 2941, 3179, 4738, 898, 4443, 2926, 9285, 2399, 9304, 9556, 7077, 2472, 383, 8636, 2812, 3441, 9039, 2707, 4444, 5104, 5894, 5449, 7236, 4663, 7348, 4944, 6066, 2549, 2368, 3119, 91, 1493, 1020, 8806, 335, 6376, 1341, 3581, 8325, 9022, 9896, 3285, 246, 6459, 9097, 2988, 5653, 3983, 3345, 9393, 341, 8125, 7465, 951, 9356, 7269, 8910, 7547, 6508, 4366, 5939, 3372, 2358, 728, 421, 4405, 4232, 8204, 4563, 8681, 6002, 6142, 457, 3232, 9463, 7451, 9186, 1977, 7832, 797, 3933, 4690, 2643, 1569, 5474, 8374, 5401, 9913, 9591, 6453, 3636, 139, 4740, 302, 8537, 6731, 9021, 5306, 471, 1874, 1068, 4946, 7292, 735, 1822, 480, 6614, 9422, 9220, 5913, 3075, 1924, 8848, 3146, 872, 318, 5036, 6817, 8608, 3571, 3660, 170, 6352, 9932, 198, 6055, 1668, 3538, 2488, 4744, 3986, 2536, 7852, 6473, 1345, 8469, 8505, 7502, 1853, 7212, 1104, 5726, 1568, 6626, 7795, 9697, 2058, 3051, 135, 125, 5704, 7060, 4937, 7939, 6919, 4045, 8447, 9182, 614, 202, 8116, 6948, 4146, 1340, 4948, 6970, 3966, 5942, 3354, 6938, 8841, 2410, 8185, 279, 5839, 494, 2222, 6895, 8970, 8080, 5193, 5092, 9344, 3370, 9635, 6025, 6268, 5949, 1843, 5362, 3908, 9999, 1870, 2096, 759, 1863, 8786, 5647, 449, 5706, 354, 4796, 9169, 9017, 5257, 7310, 8500, 8941, 1909, 593, 7549, 7327, 5134, 809, 4284, 9696, 9497, 6410, 6567, 2191, 7612, 2204, 5674, 4899, 3996, 1105, 1455, 8036, 9096, 8218, 3084, 2304, 7164, 2867, 4091, 6800, 897, 8358, 8522, 571, 7421, 863, 223, 734, 6839, 2417, 7669, 782, 779, 7600, 4932, 1167, 9362, 8997, 5069, 2801, 4026, 4302, 1018, 998, 7409, 7652, 1954, 681, 9833, 1285, 3664, 6601, 6016, 9414, 3356, 6847, 4028, 8592, 3776, 9132, 1957, 9390, 7574, 825, 9668, 8354, 784, 1857, 3487, 7495, 1723, 4038, 5784, 1839, 83, 6761, 9456, 9246, 3498, 4279, 9851, 5433, 5678, 556, 6590, 2259, 5733, 2809, 2475, 7101, 7078, 5711, 6133, 12, 5625, 9482, 2392, 581, 8733, 6487, 3081, 191, 1676, 4008, 5286, 8508, 8376, 989, 8146, 132, 8290, 4259, 3742, 7445, 8670, 8966, 5131, 9702, 4971, 3463, 107, 6182, 5078, 4811, 8321, 6652, 8005, 7360, 4999, 2461, 7536, 3064, 7085, 7026, 4422, 1783, 7819, 8565, 5821, 3142, 8700, 7654, 6169, 5664, 2500, 9035, 9673, 4208, 1817, 5099, 6886, 4967, 1818, 456, 3229, 7726, 3317, 7528, 8240, 6415, 228, 9082, 2896, 8037, 5177, 5539, 7120, 4494, 3550, 5024, 2836, 6880, 2323, 515, 3961, 6199, 2424, 1236, 765, 687, 2774, 257, 5117, 9413, 906, 5922, 160, 466, 4802, 7380, 6763, 9526, 5189, 5388, 9280, 3987, 6303, 2348, 7928, 3286, 3024, 1861, 3834, 1548, 8830, 6400, 1742, 6913, 7322, 7318, 5908, 5068, 8115, 9690, 6259, 8161, 8547, 5657, 6852, 7671, 3880, 4828, 1060, 1170, 1659, 9605, 8862, 2744, 4094, 6336, 1225, 8774, 4234, 5798, 4298, 2734, 237, 2479, 253, 6061, 3785, 4438, 6317, 7636, 489, 4785, 2854, 9848, 6034, 2108, 9478, 7204, 1835, 7443, 8753, 8487, 2376, 1991, 8481, 2151, 6225, 1142, 8273, 4175, 6437, 4853, 2099, 7838, 7598, 272, 3307, 1858, 401, 3070, 9665, 414, 9263, 7967, 5136, 8783, 3767, 4810, 3338, 9949, 7551, 6625, 8136, 8962, 4292, 9674, 8434, 9756, 2228, 2020, 440, 3912, 9468, 57, 2839, 2476, 8306, 1922, 5276, 1612, 8282, 8924, 9814, 4567, 1512, 1611, 5573, 3671, 4624, 5622, 8678, 6709, 9996, 3536, 3728, 4483, 8121, 7717, 9199, 1140, 9821, 6964, 5336, 9099, 4293, 8274, 307, 1528, 1163, 8541, 4603, 3419, 3133, 9831, 1157, 9536, 4129, 4314, 2441, 5351, 2963, 2459, 9272, 4809, 7982, 5927, 3402, 197, 3782, 1234, 9594, 1440, 8959, 9264, 5840, 850, 2767, 3304, 1349, 6056, 3621, 4033, 4478, 7040, 1879, 365, 6764, 829, 3777, 659, 8499, 6834, 1272, 6440, 9558, 3329, 807, 3861, 5451, 142, 1522, 842, 5009, 899, 9679, 8410, 7374, 4340, 1486, 416, 8337, 8039, 7265, 6690, 8662, 3522, 8098, 5240, 5750, 8515, 2756, 2387, 8682, 3334, 2915, 7067, 4419, 1118, 1058, 2110, 1646, 1504, 9165, 5142, 3992, 7580, 8266, 5601, 7267, 4632, 2562, 3459, 9437, 5596, 5643, 851, 3069, 7958, 277, 4322, 9323, 8137, 1257, 8622, 1228, 6955, 716, 8639, 1303, 5369, 3454, 5553, 9359, 4837, 603, 6471, 2296, 3929, 4751, 1606, 602, 2564, 9049, 666, 2563, 781, 9978, 1651, 4556, 3795, 6680, 8521, 2586, 4342, 9353, 9107, 2312, 3527, 6047, 7996, 4358, 9331, 7625, 6202, 3667, 4530, 6860, 3700, 6174, 7679, 1754, 5357, 9232, 1773, 5209, 9948, 3799, 3957, 5381, 6877, 678, 8311, 7248, 1549, 2843, 8104, 3906, 8679, 2933, 2749, 9234, 2036, 5921, 6484, 5481, 5452, 226, 5986, 3369, 3641, 9925, 8686, 6987, 2934, 9211, 3646, 6758, 1583, 2656, 9984, 8347, 977, 6640, 1281, 2740, 6550, 2087, 755, 1798, 5563, 3087, 522, 3357, 8132, 5455, 857, 4771, 7603, 3576, 7849, 6391, 7735, 7764, 9705, 8061, 5012, 7334, 1851, 8536, 4648, 225, 7080, 5537, 3383, 3685, 1533, 1178, 3472, 1458, 8717, 4207, 9689, 991, 8110, 1696, 7254, 5781, 5789, 1953, 3180, 1908, 2008, 6553, 1423, 2236, 9391, 4283, 4111, 8439, 7398, 4747, 1530, 4681, 1702, 356, 3851, 7347, 7894, 218, 9577, 2680, 7986, 8923, 9778, 1771, 7266, 8234, 5100, 2055, 5248, 3930, 1403, 5232, 628, 4154, 5900, 6186, 1660, 8656, 7596, 8049, 8604, 1792, 970, 8149, 4531, 7594, 9508, 1490, 2618, 3609, 6012, 3122, 5087, 3866, 7751, 531, 6116, 2148, 3175, 9326, 6356, 3828, 3493, 9151, 5358, 7563, 4030, 6172, 7307, 1868, 1558, 7737, 5699, 4130, 2326, 2157, 5484, 2498, 1071, 215, 8340, 4534, 7394, 2095, 5186, 8516, 2426, 514, 2146, 736, 5361, 462, 5353, 1545, 4555, 6113, 3845, 1492, 2785, 6766, 3719, 9693, 4300, 4113, 3030, 9040, 8938, 3669, 5910, 4778, 1860, 8842, 492, 6634, 6433, 4454, 9283, 2300, 8168, 4049, 8452, 4939, 9533, 6262, 384, 1802, 2793, 1117, 1433, 5576, 6900, 8096, 5465, 5043, 269, 9208, 3591, 2456, 9408, 7808, 2779, 6638, 2230, 8754, 1449, 9714, 7165, 5512, 4301, 2103, 3038, 2670, 9701, 5348, 9461, 3431, 2729, 8105, 6230, 9366, 6486, 6671, 3567, 7207, 8495, 4518, 2918, 6326, 42, 5903, 852, 2821, 9630, 3629, 2362, 499, 9274, 5402, 609, 6588, 7706, 4400, 9744, 9739, 2615, 7303, 3248, 1614, 2346, 3412, 2645, 3196, 5273, 9244, 3989, 754, 2522, 2627, 4287, 8932, 9177, 263, 4552, 1038, 5739, 4586, 8143, 1625, 4874, 1414, 7223, 8902, 8715, 3484, 5207, 8585, 3375, 4540, 5718, 5250, 9546, 2051, 8338, 2859, 8203, 4248, 3312, 7145, 9603, 2117, 5269, 8063, 8693, 7220, 1946, 3126, 7560, 5747, 119, 1204, 6167, 5318, 748, 8704, 9511, 8696, 9767, 4523, 6569, 9816, 5792, 1928, 1710, 4481, 4173, 133, 1935, 9014, 293, 4024, 6592, 8157, 2214, 1314, 5173, 2104, 6008, 7846, 6264, 4205, 693, 5966, 7891, 1054, 1317, 1550, 6372, 8918, 450, 7604, 9409, 6053, 6945, 3319, 7126, 2470, 9599, 3258, 4372, 4668, 618, 5399, 7249, 2041, 9954, 3105, 4990, 5393, 366, 6315, 1620, 8320, 1128, 9728, 1940, 8961, 1669, 9947, 7469, 6702, 3653, 5028, 8173, 788, 2255, 8546, 4559, 7816, 5508, 2905, 7648, 3082, 255, 9677, 5833, 1827, 155, 6676, 6599, 9258, 4044, 6434, 3008, 9425, 1079, 4009, 7492, 7518, 9713, 7081, 6781, 4265, 4562, 7276, 2995, 1190, 5489, 3269, 1815, 6996, 6403, 4020, 5663, 6819, 5236, 2948, 102, 8000, 3972, 3394, 8287, 4363, 4972, 7191, 5896, 3194, 6416, 3430, 7488, 4229, 3104, 3915, 2093, 4667, 4700, 9143, 1531, 972, 8826, 7405, 6665, 2374, 3818, 7490, 9009, 5178, 7579, 2726, 6465, 1775, 8867, 8140, 2755, 65, 4181, 1617, 1206, 6000, 9474, 4860, 6384, 9451, 6423, 7459, 4992, 7448, 4068, 9207, 2065, 1254, 1623, 7029, 8894, 3854, 1156, 3116, 158, 5479, 2574, 8385, 7309, 7268, 8068, 6495, 1629, 231, 3114, 9794, 5411, 3107, 6227, 7668, 8159, 585, 4244, 722, 1491, 2578, 250, 5510, 478, 7200, 3922, 6995, 7811, 4686, 1010, 3027, 2530, 9543, 88, 7472, 2766, 8150, 2653, 3962, 5915, 5179, 6924, 7059, 7134, 1421, 3421, 694, 4407, 8989, 3120, 7759, 6525, 1925, 2277, 4679, 4065, 4013, 1053, 3613, 2521, 5137, 6498, 5862, 709, 700, 1603, 6502, 3639, 9498, 9069, 6809, 3772, 4997, 3548, 9906, 4102, 6286, 6316, 7108, 950, 1484, 4721, 3102, 5485, 1763, 8257, 451, 1088, 1898, 9829, 8927, 3422, 3173, 3266, 4355, 2160, 3299, 9321, 2813, 5878, 1956, 2415, 9111, 432, 758, 1825, 6595, 7214, 5037, 8903, 5631, 3388, 5025, 2203, 3938, 3939, 5696, 4670, 1811, 9731, 9491, 373, 9934, 3624, 5684, 3743, 1129, 9487, 1873, 7396, 426, 7052, 1995, 7872, 8208, 9434, 9856, 5865, 4367, 4023, 1095, 3708, 3359, 1162, 6083, 7385, 9587, 9710, 9825, 99, 2747, 3480, 2015, 874, 5650, 2444, 7306, 8765, 6215, 3855, 841, 1355, 2800, 8992, 8070, 4876, 2752, 6295, 8740, 3903, 6999, 21, 6519, 3885, 8122, 6711, 5346, 3302, 1923, 5890, 8590, 9847, 1195, 8803, 4890, 3787, 7615, 2418, 329, 8514, 9769, 6146, 2398, 7978, 483, 4558, 8872, 5385, 7508, 7049, 8664, 557, 5542, 9858, 1746, 5554, 524, 363, 3726, 2169, 9195, 9970, 31, 7944, 6851, 35, 9302, 6721, 6855, 6299, 5456, 9395, 4087, 422, 6632, 8302, 1359, 8618, 8226, 1265, 6740, 5887, 5759, 4474, 3094, 4897, 916, 1481, 9911, 7522, 4762, 3292, 4904, 7515, 72, 9363, 2829, 6313, 5830, 7501, 7460, 412, 4381, 7136, 3036, 4598, 568, 3281, 4711, 6091, 3100, 6759, 1919, 6949, 1184, 9967, 9798, 1931, 6958, 1400, 1806, 8103, 6975, 2668, 5460, 6483, 2949, 5795, 6971 ], [ 8060, 2716, 5725, 5057, 2365, 1649, 4258, 884, 5654, 995, 4145, 4276, 6147, 9656, 2751, 1846, 2891, 5773, 8463, 134, 9759, 4821, 1447, 4159, 2534, 521, 8896, 542, 4664, 3185, 8906, 6099, 2672, 9904, 668, 3716, 6678, 2122, 5310, 5659, 8688, 7263, 1044, 4840, 8017, 7426, 903, 957, 3745, 5803, 5762, 2176, 9752, 4524, 8064, 1793, 1130, 7281, 7853, 1470, 4957, 8445, 2662, 1637, 662, 2193, 4303, 7418, 4370, 1171, 844, 4746, 6068, 5267, 4606, 2395, 9659, 5660, 1339, 4654, 240, 3707, 9221, 4982, 6155, 3333, 4521, 2678, 1670, 6229, 1662, 9895, 7956, 6559, 2140, 5844, 9987, 3270, 5562, 2125, 6044, 6160, 1112, 2396, 477, 7296, 2421, 4003, 7066, 2310, 8760, 2637, 3300, 6515, 5673, 9168, 9790, 1927, 1334, 1386, 5279, 9163, 2673, 9755, 3244, 5190, 9898, 8187, 7997, 7065, 3291, 9854, 4131, 4926, 6785, 6646, 5599, 320, 9309, 7414, 9300, 9958, 6134, 8087, 6753, 1275, 4684, 1780, 8838, 2908, 236, 2553, 8455, 4895, 4804, 9260, 9128, 8163, 6151, 8969, 220, 6106, 8071, 1965, 4707, 7898, 3952, 1724, 5406, 638, 9534, 7181, 1645, 1971, 5382, 1737, 786, 747, 5076, 288, 15, 1885, 1607, 1643, 7786, 8792, 1904, 9203, 7945, 2170, 1330, 8003, 2339, 9799, 9152, 3544, 7835, 8316, 2783, 300, 3756, 7948, 2667, 4249, 4007, 8596, 3218, 1133, 4430, 4760, 1816, 1361, 5237, 5585, 4081, 2698, 5613, 4947, 7784, 5476, 8456, 7013, 6013, 6368, 1148, 453, 5905, 2317, 6101, 4059, 3443, 6293, 7082, 4359, 9930, 247, 379, 1630, 8275, 7955, 6650, 4509, 2250, 6583, 4198, 1382, 5291, 1284, 1675, 9204, 7308, 7859, 8154, 4480, 7810, 2733, 9813, 6576, 2664, 9516, 1035, 4442, 8033, 360, 5282, 1267, 994, 1916, 3809, 6838, 9368, 340, 4651, 6388, 3296, 8555, 7608, 4754, 5624, 5802, 1308, 4414, 7222, 2640, 4384, 9459, 8595, 286, 6546, 4055, 8473, 6212, 2350, 4282, 7344, 1331, 8380, 1912, 2802, 3946, 9506, 5870, 7581, 1475, 3911, 5000, 9299, 5123, 391, 8366, 6370, 2577, 4745, 1085, 8488, 5702, 9324, 1866, 658, 8475, 1252, 579, 217, 8435, 5797, 2082, 5094, 5458, 8785, 71, 5166, 4831, 4653, 9243, 6737, 3696, 715, 6279, 5086, 5272, 4253, 3055, 9162, 3873, 9214, 3012, 1183, 5274, 3683, 6624, 5015, 7848, 1914, 1826, 4935, 8731, 6494, 495, 4222, 1029, 7432, 1187, 5429, 9924, 4001, 8319, 4398, 1293, 1741, 7541, 3415, 9056, 67, 1992, 5264, 8256, 4254, 9796, 8263, 3754, 3318, 6826, 6810, 3067, 6069, 5712, 1641, 7097, 5871, 8314, 9721, 4979, 3113, 181, 6822, 5575, 2088, 3848, 9139, 3236, 564, 8692, 7096, 5384, 4451, 8542, 4360, 324, 7824, 9189, 1599, 5126, 8510, 6992, 3965, 8559, 2613, 8889, 7550, 9795, 7239, 5437, 8367, 8307, 5309, 5133, 3497, 5876, 878, 2511, 1478, 27, 624, 5130, 9694, 8441, 8816, 7865, 7752, 4642, 900, 2226, 5026, 2315, 43, 2762, 4022, 8761, 4616, 2220, 9228, 7663, 846, 5935, 9938, 8277, 9450, 2712, 4074, 2273, 6985, 5165, 4593, 6915, 8041, 7079, 1443, 7324, 9025, 4697, 4393, 3549, 8794, 9173, 9718, 6266, 9764, 5849, 8949, 6173, 1436, 1980, 6070, 9680, 7054, 2852, 5889, 2171, 4513, 9880, 9332, 5771, 1655, 2360, 8281, 5597, 75, 7000, 7987, 5557, 502, 4694, 5875, 6304, 6944, 3026, 3971, 8026, 2795, 3496, 7896, 5163, 847, 9723, 5641, 8808, 4881, 6752, 8057, 1028, 5964, 5241, 6568, 4949, 6565, 7605, 6586, 239, 8042, 4409, 8390, 1229, 1160, 5338, 3552, 1310, 6333, 6111, 219, 6418, 278, 5721, 4399, 9091, 5494, 2946, 2691, 871, 8627, 7834, 3654, 3525, 9568, 1996, 7072, 5407, 3932, 9552, 3058, 880, 5470, 2884, 2844, 3277, 1046, 2272, 4243, 6135, 3290, 7504, 1199, 7645, 7902, 7171, 3960, 940, 3178, 5356, 630, 3450, 7332, 5496, 8081, 1416, 1973, 7758, 7634, 2357, 8520, 6505, 7202, 8735, 9440, 4611, 993, 7471, 5944, 5299, 2860, 9441, 3053, 2409, 4431, 5175, 7162, 5749, 315, 9521, 5251, 3045, 947, 6792, 4148, 661, 8222, 2804, 2187, 7397, 5892, 5398, 7642, 4368, 6417, 8359, 6374, 3092, 3130, 6235, 3005, 7420, 6980, 5626, 1505, 7624, 1869, 4166, 8438, 3382, 1147, 5021, 7058, 656, 6343, 1238, 867, 9398, 7075, 3029, 6527, 4613, 3139, 2889, 9284, 9839, 2853, 5277, 3481, 1121, 3869, 4931, 3428, 8928, 7887, 9842, 7086, 9251, 445, 3526, 3124, 1944, 1833, 5135, 1661, 3988, 7791, 9760, 6383, 9618, 5774, 423, 6798, 6337, 2411, 5219, 5466, 1009, 713, 4047, 2724, 1468, 4696, 5445, 7094, 7102, 4192, 5768, 1032, 2012, 2172, 546, 9570, 8471, 7452, 4118, 424, 1375, 5891, 4596, 2993, 5249, 4336, 6648, 917, 4499, 4824, 8030, 2283, 2048, 8750, 1781, 429, 323, 7947, 9606, 5031, 4401, 8824, 1174, 153, 6442, 1738, 4294, 7252, 4228, 9663, 7908, 8796, 6745, 9387, 549, 7025, 1757, 8145, 2791, 631, 7803, 4092, 6351, 8059, 5064, 6021, 9126, 9294, 8673, 3523, 6930, 1124, 8368, 6960, 7287, 1718, 6015, 5806, 9983, 163, 8298, 4625, 3485, 3267, 7361, 6175, 1830, 2178, 2216, 4456, 4289, 1653, 6643, 3815, 9330, 243, 1114, 2316, 3781, 6823, 4857, 5671, 1223, 1782, 5923, 8573, 1452, 117, 2507, 925, 740, 3362, 6585, 6884, 2152, 9155, 9052, 8169, 3558, 3945, 9197, 6332, 9579, 8556, 8530, 9154, 8701, 8880, 2693, 415, 1819, 4427, 4281, 7506, 9719, 6988, 3814, 8779, 5109, 5047, 645, 3545, 2625, 1862, 2778, 5301, 8714, 5121, 8610, 6929, 9357, 2769, 9125, 9374, 4080, 6102, 4299, 3413, 6685, 7213, 9229, 6701, 7867, 1697, 1034, 9118, 9137, 7670, 7259, 6281, 9352, 4039, 8539, 3805, 8237, 4193, 2070, 7273, 8272, 3440, 3697, 5579, 5074, 1274, 3899, 7429, 8008, 472, 9372, 7724, 2400, 6296, 3040, 5176, 9027, 7219, 9119, 2022, 4420, 3368, 8660, 7995, 6561, 2593, 3587, 6429, 5681, 5616, 8219, 4987, 6185, 7155, 9403, 2257, 2458, 4396, 9438, 8343, 1750, 1201, 2990, 2880, 7523, 7925, 7878, 4930, 145, 7180, 8958, 7288, 9554, 2866, 5794, 1600, 8835, 238, 2669, 8295, 3439, 6997, 718, 3931, 1231, 7473, 6825, 7888, 1519, 1899, 4608, 7261, 6458, 8073, 6603, 8725, 9479, 1139, 8284, 1268, 3056, 8857, 6171, 9343, 1004, 9227, 4450, 9194, 9256, 1664, 3593, 7437, 6974, 3631, 6658, 2119, 4469, 6245, 2164, 8094, 8710, 1153, 7794, 8108, 705, 2797, 4288, 7745, 1717, 891, 4250, 2031, 8095, 9650, 1246, 3902, 8506, 7728, 2649, 5623, 9237, 4018, 7218, 9779, 3917, 3151, 7491, 5873, 5497, 1298, 7056, 835, 3865, 6280, 4457, 2950, 9853, 1749, 2338, 5963, 5817, 7661, 7485, 9464, 6100, 8404, 7773, 7532, 3773, 554, 9846, 9884, 2089, 7356, 6906, 6094, 2947, 741, 9379, 1658, 7173, 7497, 1357, 8856, 533, 9741, 4107, 9235, 501, 927, 3882, 3928, 3804, 5289, 8386, 5151, 5524, 7020, 7879, 9835, 7206, 2504, 7320, 1093, 1893, 7847, 8942, 3565, 777, 1735, 2080, 6708, 200, 5419, 6921, 719, 8478, 3900, 7813, 1296, 2685, 3670, 7278, 1125, 6287, 289, 47, 5196, 5116, 5113, 9991, 9688, 8948, 5395, 3712, 3223, 5020, 9951, 1480, 9072, 6864, 9358, 8683, 2588, 2539, 5164, 5426, 2537, 5334, 8412, 6927, 1727, 4770, 3494, 7885, 509, 4169, 2764, 2112, 3622, 2038, 597, 4766, 2206, 4332, 9717, 3751, 6790, 2575, 2021, 9216, 8324, 9424, 823, 643, 8718, 184, 6706, 2687, 2131, 7701, 7673, 7796, 6104, 5805, 9004, 5541, 6733, 2590, 3611, 5680, 996, 1567, 2985, 7227, 6963, 7378, 3601, 8201, 5999, 7284, 552, 3060, 6236, 1845, 7329, 595, 6510, 1501, 1596, 8629, 5586, 5148, 1098, 6811, 7476, 6485, 2561, 2305, 9931, 8934, 8479, 6984, 7941, 2372, 9703, 5150, 4377, 7024, 9905, 946, 968, 1698, 3425, 7352, 6128, 3313, 6990, 3074, 3096, 6339, 4291, 6703, 3066, 3125, 1605, 64, 7260, 5514, 1926, 2017, 9210, 1193, 6058, 5549, 9206, 1523, 6123, 4167, 6342, 3231, 517, 3163, 9469, 5174, 2013, 5442, 6501, 7186, 1896, 4887, 9510, 9777, 8214, 4440, 8135, 355, 1979, 2856, 413, 273, 5492, 9633, 690, 3211, 8162, 4714, 5584, 8198, 3935, 8706, 4308, 1615, 2512, 3143, 1592, 9706, 5947, 2605, 5303, 795, 1751, 7616, 2718, 592, 7620, 6521, 6537, 256, 7627, 9704, 4386, 4206, 4889, 6807, 2633, 6126, 2167, 8223, 3209, 6889, 6010, 4750, 5367, 1016, 4545, 5570, 3846, 6493, 1521, 4561, 5646, 2446, 677, 4213, 6231, 529, 5374, 3537, 7118, 8193, 7089, 6046, 3974, 9662, 7843, 7417, 1172, 6989, 6765, 9179, 5313, 3427, 8651, 5740, 3595, 2658, 7957, 2308, 3872, 8352, 32, 2321, 2377, 9559, 5604, 704, 1619, 9448, 8849, 9001, 2730, 1235, 9428, 6222, 4106, 5103, 3564, 1729, 3429, 8603, 8207, 610, 9477, 4780, 4600, 4464, 9525, 7419, 955, 7372, 6375, 9828, 720, 164, 7055, 5234, 2224, 6305, 4783, 8809, 1712, 9864, 9584, 4914, 7331, 8677, 6088, 2092, 5337, 6475, 6888, 3147, 2861, 7297, 8647, 2292, 5884, 5763, 6954, 3308, 2909, 859, 3136, 7379, 2159, 1398, 61, 8728, 9797, 9862, 5753, 7805, 4182, 2242, 3274, 2199, 3106, 2602, 175, 5912, 2772, 7302, 1684, 6801, 2875, 4515, 4237, 4324, 2999, 9453, 2709, 351, 4666, 1002, 7016, 20, 9937, 7175, 4334, 4083, 9254, 7494, 7444, 6887, 721, 7225, 2234, 9312, 1809, 8815, 5735, 3780, 126, 3002, 8752, 6769, 4929, 4618, 69, 1517, 9134, 856, 1412, 5415, 541, 535, 3888, 6395, 5180, 2515, 4916, 6253, 1993, 54, 4321, 2201, 6669, 1439, 5487, 6937, 6436, 7731, 7390, 400, 5906, 7768, 1031, 5788, 8823, 1158, 2124, 4885, 8957, 4215, 9290, 5953, 882, 475, 8832, 1888, 6751, 9310, 3620, 6717, 2629, 8552, 4504, 3504, 8181, 4708, 5967, 8532, 7240, 6710, 1495, 4067, 7886, 7034, 1799, 9129, 9249, 251, 8551, 6238, 1327, 6003, 9770, 2329, 3165, 5188, 3335, 9651, 5941, 1006, 6931, 6639, 8177, 2966, 6348, 1539, 3226, 3695, 7470, 7172, 7499, 2489, 6649, 1103, 2485, 4417, 4554, 4820, 5614, 6045, 2721, 8744, 6086, 7291, 6048, 9265, 6017, 817, 7557, 4913, 1120, 4907, 3665, 4610, 4868, 3361, 1967, 9631, 9845, 6552, 5161, 4354, 8572, 5593, 611, 4757, 2818, 9480, 2881, 876, 6255, 2731, 6482, 8055, 7519, 4978, 1638, 5567, 8099, 3923, 2523, 908, 9838, 7831, 2968, 7151, 9547, 4858, 4423, 9908, 167, 3405, 3453, 7203, 7626, 5344, 4790, 3580, 5002, 3109, 5506, 2911, 8745, 3010, 4447, 6035, 3577, 9974, 7921, 4090, 7889, 1554, 2794, 2091, 7937, 860, 2971, 9900, 5996, 6263, 6832, 865, 9528, 6392, 8019, 9562, 6797, 3605, 1230, 3322, 9370, 8804, 1555, 8990, 7839, 147, 6700, 9058, 1594, 7062, 3658, 9286, 9131, 6533, 5079, 5994, 5366, 4877, 4084, 3200, 2166, 4246, 5138, 8747, 710, 7662, 8758, 4274, 1306, 3875, 4461, 9495, 5341, 6389, 2412, 1106, 3832, 4466, 9239, 7882, 7576, 6193, 6570, 8010, 5630, 101, 4912, 949, 3881, 5698, 9407, 6875, 4849, 9793, 6853, 1323, 5034, 644, 9006, 8361, 190, 2735, 7087, 9589, 4520, 6786, 1656, 4339, 8782, 2817, 9604, 2912, 3238, 6961, 3083, 204, 2427, 5132, 3725, 4883, 1576, 281, 3884, 9975, 1836, 4133, 5522, 6803, 6725, 8430, 6730, 8741, 7936, 8002, 295, 9801, 971, 6341, 254, 5333, 986, 5551, 9090, 4812, 1132, 4830, 7255, 2525, 1084, 5322, 4585, 5587, 775, 9305, 7401, 9727, 6936, 7028, 3531, 2902, 584, 5972, 5, 6290, 5325, 1760, 8067, 4218, 4458, 4954, 6735, 5644, 622, 9338, 2285, 5738, 3452, 4035, 205, 25, 7163, 1707, 6926, 4578, 5846, 6842, 4247, 1070, 8344, 6768, 8734, 7450, 7566, 2405, 2005, 7524, 2556, 6324, 9365, 7410, 5359, 539, 8293, 7224, 5975, 7099, 6879, 3387, 6213, 212, 6377, 6873, 2379, 7339, 4962, 511, 3390, 1075, 3234, 2136, 853, 9337, 4590, 7143, 4383, 3486, 6870, 4042, 3444, 3879, 6144, 9388, 7720, 4637, 1840, 7146, 9888, 6747, 2306, 6541, 6968, 2580, 5006, 6277, 6399, 8641, 3305, 7881, 2083, 3762, 4988, 2782, 9064, 8046, 9567, 7583, 6795, 599, 885, 5198, 753, 8589, 6150, 2684, 3469, 5548, 3858, 744, 5223, 2907, 4728, 1679, 8424, 5425, 4143, 5379, 1218, 873, 359, 90, 7527, 5145, 9646, 6029, 8077, 2969, 2004, 8182, 6547, 6108, 2741, 4921, 1194, 5858, 6883, 4317, 8772, 4855, 1598, 3202, 8694, 7095, 5928, 4075, 7201, 5516, 4273, 4621, 5288, 3958, 9238, 8836, 5011, 3729, 2139, 7658, 5956, 4695, 4413, 8746, 436, 8152, 9167, 108, 2916, 2081, 7391, 9836, 8489, 4462, 4716, 1286, 3156, 5396, 8043, 6014, 9415, 2835, 3191, 3554, 3516, 9979, 5314, 1708, 7874, 651, 6244, 188, 6136, 2611, 7704, 9807, 1759, 5685, 1590, 7770, 7400, 6718, 9538, 172, 1779, 3251, 4657, 4633, 6251, 510, 8638, 6670, 5427, 5159, 121, 2397, 5904, 9700, 5203, 4201, 3750, 3849, 7511, 6713, 2665, 922, 9301, 5951, 9098, 6189, 2714, 7929, 2681, 9087, 2150, 1950, 3883, 321, 6573, 1578, 348, 4702, 1841, 5850, 5807, 773, 8721, 3575, 583, 6903, 5370, 6006, 8123, 5417, 5010, 4781, 4424, 5566, 5606, 9902, 4032, 2897, 7975, 4362, 4951, 7989, 657, 2189, 3970, 6050, 8626, 5051, 2784, 7587, 8183, 1572, 2010, 100, 7446, 7555, 5682, 4164, 5893, 1141, 5013, 2832, 8279, 388, 2531, 5800, 1362, 6269, 9248, 4991, 5448, 6757, 1745, 6845, 2508, 7237, 284, 3918, 1432, 3850, 4150, 7512, 4184, 9815, 9695, 8724, 2352, 4501, 7386, 1769, 4725, 7441, 7489, 9381, 5719, 1731, 3924, 97, 4602, 7262 ], [ 3271, 8944, 9313, 5911, 4061, 8069, 9832, 9183, 6898, 5715, 4331, 6621, 9277, 2197, 1273, 3997, 6816, 274, 6300, 2371, 9333, 4448, 4062, 9892, 9881, 9772, 4126, 1968, 3149, 4709, 4323, 4959, 1677, 2254, 8598, 9449, 5754, 4313, 1081, 8666, 7650, 4816, 3896, 1608, 2954, 5816, 5901, 7279, 6946, 2276, 2406, 6181, 6934, 1938, 8027, 6314, 8691, 9057, 9499, 7631, 9595, 3255, 5110, 5210, 6882, 4701, 2750, 3424, 1479, 3717, 9629, 374, 6775, 9202, 804, 7690, 9611, 3477, 9593, 616, 6859, 4678, 1543, 4715, 7270, 889, 1474, 8650, 2367, 1787, 7119, 8429, 9754, 2000, 113, 752, 9639, 7909, 7354, 4878, 8655, 216, 5848, 8930, 9420, 8755, 2307, 7076, 1457, 4337, 4662, 1309, 7257, 6598, 3981, 1022, 1270, 3188, 4977, 7104, 4002, 3461, 14, 3681, 9178, 6828, 8349, 3985, 6311, 9223, 7482, 55, 2970, 6195, 890, 2162, 2053, 1877, 8468, 591, 6746, 8852, 2419, 7264, 4626, 8230, 9233, 4459, 194, 637, 8011, 7315, 9275, 262, 8056, 4060, 4756, 9279, 2991, 894, 4805, 3979, 2293, 1396, 8864, 9492, 7449, 8870, 1566, 313, 7233, 7022, 8946, 8200, 4053, 3350, 2351, 41, 5169, 7019, 3237, 1994, 1743, 1591, 9191, 4280, 22, 2650, 4841, 1918, 7665, 3167, 1214, 3174, 6033, 7293, 612, 5791, 3649, 199, 5102, 1732, 4445, 537, 5111, 2754, 221, 2185, 676, 2027, 447, 2353, 2474, 2403, 1366, 7141, 1411, 485, 9676, 224, 9109, 5225, 6019, 8971, 8363, 8242, 771, 1947, 9531, 9140, 8586, 3041, 5504, 5255, 3647, 5413, 4915, 5144, 7589, 6420, 2895, 1126, 697, 3813, 7238, 2565, 6776, 3590, 4963, 5823, 6243, 9517, 520, 9678, 4572, 6275, 5814, 104, 6767, 3411, 9941, 7572, 2940, 5757, 6098, 3703, 38, 1442, 8387, 4623, 7685, 6294, 9336, 2623, 944, 6837, 6854, 1942, 7856, 2034, 4025, 7142, 1776, 6693, 7177, 1622, 790, 4101, 2904, 9061, 2129, 2163, 2690, 7271, 7999, 1680, 3410, 5690, 1348, 4364, 7899, 9124, 783, 8497, 1451, 8171, 8425, 9050, 3990, 2240, 4255, 3420, 3280, 4968, 2919, 9250, 3821, 560, 7689, 8689, 2803, 5687, 3668, 5861, 2298, 4138, 5265, 1906, 3507, 3836, 9174, 2763, 8062, 9916, 7093, 6164, 8672, 5418, 6009, 469, 4165, 6030, 2614, 2787, 350, 866, 9185, 3138, 3735, 5535, 8318, 5446, 301, 6805, 6001, 1224, 3615, 1813, 1251, 5045, 6668, 1730, 9282, 7910, 4724, 7188, 1343, 6545, 4844, 5969, 386, 4029, 5697, 2589, 969, 282, 5155, 1169, 3366, 5200, 5581, 1755, 444, 4510, 3656, 8581, 8437, 5564, 208, 6606, 3401, 5958, 660, 652, 7622, 1998, 234, 4082, 6405, 8937, 6308, 9544, 5808, 2520, 5229, 5354, 9418, 8383, 1880, 8587, 3679, 6386, 2874, 8216, 491, 6105, 505, 1292, 6203, 6472, 7037, 1168, 5638, 5555, 4592, 4285, 5882, 2810, 4290, 159, 1422, 7439, 1448, 2834, 2619, 834, 6378, 4838, 2542, 3687, 3230, 5129, 578, 7571, 3944, 7179, 6438, 3468, 60, 1876, 911, 1507, 6503, 2260, 8107, 2287, 976, 6176, 1089, 9716, 4077, 5390, 6659, 5885, 8667, 930, 5619, 2073, 5245, 7610, 7345, 8278, 4361, 1040, 6096, 9093, 6571, 6298, 7232, 4194, 4517, 9583, 6812, 2728, 8851, 8024, 7820, 5468, 3193, 1067, 1197, 726, 6168, 8829, 4903, 9081, 2922, 6087, 3006, 9032, 7534, 6217, 1682, 3035, 6445, 9375, 4046, 3203, 3603, 435, 2898, 5761, 8285, 5420, 8210, 3168, 6707, 7030, 1165, 7098, 2404, 3086, 8919, 3068, 3474, 261, 1277, 9907, 4544, 174, 6605, 3446, 7776, 3249, 4089, 5627, 1790, 417, 3328, 6140, 5317, 2938, 7425, 9078, 2364, 5529, 5916, 2023, 2190, 7358, 9822, 2710, 8566, 1192, 2903, 6411, 1326, 7129, 8560, 7635, 7290, 5368, 3513, 7105, 8280, 4630, 8371, 1387, 4803, 4548, 8635, 4296, 2069, 5778, 7960, 8659, 1399, 5246, 5628, 8817, 6754, 6216, 2630, 8416, 1610, 3766, 6623, 4886, 3177, 2301, 5350, 8442, 3314, 9940, 434, 9158, 7387, 8593, 8543, 2111, 6943, 8239, 6131, 8553, 336, 1785, 4487, 3256, 7766, 271, 1701, 2218, 2501, 5312, 7637, 4352, 1887, 5515, 5428, 4212, 3501, 299, 742, 1261, 9319, 2527, 6187, 2235, 229, 8119, 1294, 2506, 4557, 6276, 3574, 6004, 6593, 2702, 3099, 7632, 1854, 404, 5444, 5984, 6404, 6265, 8147, 2463, 8625, 7729, 2184, 6261, 1497, 6288, 3788, 5054, 4872, 739, 9519, 9834, 4905, 7392, 2552, 6557, 562, 7552, 6732, 9684, 1011, 3568, 9865, 3764, 8459, 1373, 3634, 4891, 1673, 7707, 7454, 3499, 5799, 9753, 6455, 5786, 1487, 1715, 2961, 2655, 926, 768, 9614, 6820, 303, 4310, 8564, 9971, 6080, 1602, 4485, 4984, 2998, 9361, 2972, 2251, 4475, 7802, 3852, 3170, 9809, 2855, 4727, 7017, 8395, 3749, 211, 7836, 1565, 8085, 1856, 1426, 1901, 2494, 8484, 2748, 9745, 9341, 2046, 9857, 5811, 6156, 9615, 7743, 9632, 2819, 7817, 9782, 6177, 576, 4374, 958, 3837, 8474, 1587, 4784, 5409, 1498, 2386, 1211, 8189, 9850, 2936, 6323, 4217, 5001, 9490, 5053, 7092, 8255, 6981, 4581, 1525, 396, 3007, 9034, 6358, 7210, 7841, 5705, 5231, 9819, 4986, 2943, 3079, 5713, 5247, 1107, 9840, 6020, 9255, 887, 8004, 7799, 4387, 1226, 3919, 8423, 7305, 8283, 4591, 8602, 9171, 1988, 833, 6902, 4542, 1796, 2973, 1540, 2825, 7349, 1312, 9225, 3606, 1185, 3570, 4846, 4316, 8258, 8511, 3508, 1039, 3017, 3738, 5888, 1260, 2294, 625, 7148, 3936, 6062, 516, 166, 30, 1283, 1438, 9901, 9889, 9046, 2149, 1616, 1315, 6214, 5634, 5364, 1145, 5880, 9148, 8978, 9475, 3547, 4196, 6204, 9394, 5519, 1884, 4036, 6899, 1407, 7833, 5127, 1838, 8364, 6620, 7275, 4163, 8980, 258, 8952, 5736, 9957, 8871, 1287, 3868, 2231, 3160, 8711, 9734, 6082, 7749, 144, 1055, 3666, 2906, 1719, 8138, 8548, 8309, 1278, 2290, 4239, 9315, 1180, 6447, 5343, 9196, 7373, 465, 6982, 4763, 4902, 6382, 3515, 9647, 1444, 1202, 3817, 3039, 3396, 306, 8950, 8712, 8613, 8878, 3449, 4160, 7193, 433, 1329, 2894, 8405, 764, 4519, 479, 9709, 2739, 7475, 4484, 7783, 1503, 8513, 9444, 9013, 189, 3877, 1164, 6869, 815, 9935, 8810, 5320, 7597, 6112, 2496, 845, 9065, 3332, 6862, 2467, 7798, 4063, 4799, 2113, 291, 6278, 7216, 6907, 2753, 1074, 4685, 8825, 9345, 5106, 8784, 1524, 1748, 9636, 6210, 1244, 1784, 8518, 4797, 6379, 2465, 382, 9871, 183, 613, 4348, 8977, 1014, 8632, 2278, 8843, 3747, 5578, 545, 2982, 598, 8075, 6935, 5997, 5565, 6292, 5611, 6616, 1532, 9172, 9724, 3246, 1259, 959, 1318, 6608, 34, 6347, 7777, 87, 3273, 8995, 9730, 2439, 793, 2696, 8675, 7601, 3108, 5003, 1739, 5751, 9936, 1962, 8588, 120, 3623, 525, 2706, 1897, 7107, 9928, 6208, 7866, 5473, 1482, 9466, 8790, 4416, 7992, 5416, 5633, 5767, 5662, 3951, 6446, 1628, 430, 106, 3144, 6443, 5748, 2039, 427, 7633, 1076, 3584, 9698, 1271, 4502, 617, 4158, 8985, 7434, 8644, 9024, 7415, 7091, 7395, 5373, 2671, 3517, 5707, 8777, 2497, 7994, 9281, 8118, 9159, 1828, 3341, 6480, 458, 877, 4203, 73, 670, 3406, 4471, 4268, 7934, 8640, 1015, 3023, 8261, 6891, 7806, 9596, 8702, 2483, 2469, 1557, 4385, 4575, 9789, 1119, 3663, 5500, 2455, 3347, 7529, 4607, 9540, 7355, 8091, 6322, 8248, 4498, 7110, 8554, 8884, 2335, 0, 6018, 7106, 3158, 3, 4251, 7793, 4238, 7363, 4051, 7342, 5287, 7643, 5122, 6953, 7004, 801, 9869, 6656, 2921, 2567, 8819, 9100, 8372, 5724, 186, 1262, 9608, 3327, 6560, 7695, 2313, 3556, 3014, 5688, 3395, 4659, 3141, 5016, 6273, 8951, 5743, 122, 3650, 5058, 6572, 9670, 7973, 4095, 8821, 8964, 1627, 5050, 9335, 1648, 892, 8450, 6994, 7189, 3183, 3065, 513, 2384, 4391, 1886, 4983, 3349, 3033, 5252, 6874, 6161, 168, 1378, 2697, 796, 9529, 3706, 6067, 4408, 6119, 7403, 7383, 8876, 1072, 7185, 654, 9654, 8575, 9063, 8837, 4748, 6470, 4119, 9436, 3510, 9715, 7730, 1080, 3704, 5760, 9515, 7289, 9045, 6846, 6876, 2265, 5168, 861, 2049, 3115, 8251, 3059, 5703, 327, 1033, 2929, 988, 3807, 2126, 2011, 7457, 7815, 5495, 9859, 7117, 673, 3417, 8524, 7618, 3460, 8773, 5598, 3642, 6338, 9108, 7133, 92, 2722, 7516, 3769, 2302, 9548, 2952, 5018, 8131, 9240, 942, 8898, 1291, 4693, 7715, 5477, 3118, 6890, 573, 4699, 5224, 5785, 1099, 1131, 3617, 1961, 2760, 3662, 9452, 4179, 4394, 2980, 1245, 2369, 3628, 3803, 2210, 157, 4843, 3047, 987, 9426, 1052, 1794, 3476, 813, 3978, 7911, 2180, 7496, 1509, 6122, 4343, 4415, 4286, 570, 9269, 2179, 9882, 4884, 2143, 6705, 8844, 2147, 9385, 6393, 4752, 3856, 84, 207, 6683, 3694, 1820, 1966, 8362, 3673, 4543, 9029, 2454, 3207, 3913, 9743, 7595, 7837, 2349, 8329, 443, 3937, 5834, 9088, 8680, 330, 8245, 1941, 5640, 6666, 364, 7286, 2229, 7965, 7422, 9527, 6152, 5360, 452, 9810, 8742, 838, 6714, 2945, 5072, 667, 1083, 6575, 3562, 9707, 9781, 830, 4956, 5976, 1344, 7721, 80, 1559, 5745, 4734, 8531, 9923, 762, 7258, 5125, 9297, 7708, 5347, 1240, 6697, 249, 1175, 3303, 512, 4425, 7697, 3941, 6589, 7640, 5809, 7365, 5992, 6218, 5588, 6908, 7382, 9146, 6318, 1955, 3791, 2701, 5183, 7677, 2380, 2173, 2375, 3391, 2241, 4587, 4328, 3519, 738, 9074, 2281, 5278, 7333, 8040, 5067, 4214, 4674, 8907, 3955, 4861, 974, 8102, 1379, 9373, 9837, 9350, 441, 454, 3819, 3672, 8296, 5139, 8912, 939, 8895, 4850, 6726, 9725, 1872, 4547, 3044, 2127, 6390, 6183, 1282, 9334, 6791, 2238, 2648, 8657, 7404, 3279, 4704, 353, 267, 8407, 5062, 9030, 1402, 4468, 9827, 8954, 6856, 9378, 2442, 854, 2244, 8503, 3003, 4777, 8221, 9419, 8891, 5610, 9447, 4743, 7746, 9989, 7680, 9561, 9868, 2965, 8703, 9018, 1786, 572, 3894, 8025, 276, 6051, 6613, 508, 4221, 7314, 59, 8188, 8292, 639, 2449, 2491, 9367, 4112, 8628, 907, 347, 7048, 8128, 5352, 9075, 6539, 4672, 4088, 8016, 6334, 8855, 5383, 7325, 4730, 7554, 6979, 4168, 5580, 945, 1322, 967, 5096, 9530, 9541, 9875, 5408, 858, 4376, 5655, 6360, 4782, 2188, 403, 8493, 7209, 305, 3112, 1740, 4928, 4197, 7526, 5897, 5669, 8988, 266, 8389, 3489, 1008, 785, 7007, 9187, 2679, 7247, 7149, 4537, 7159, 7821, 5600, 7740, 5810, 1263, 9329, 1902, 9205, 7463, 5679, 9686, 5540, 5242, 8920, 1864, 2425, 8023, 7705, 1824, 4773, 394, 962, 6687, 1113, 9295, 7008, 2913, 58, 2533, 3309, 1030, 4712, 504, 6408, 6738, 8874, 9804, 8915, 9628, 459, 8114, 2509, 8631, 9454, 3786, 9066, 5936, 5959, 1694, 5970, 1166, 6743, 4649, 2177, 85, 9922, 5943, 4495, 9493, 9950, 8901, 1408, 3103, 7840, 923, 2066, 7068, 3385, 5635, 209, 5503, 3505, 3214, 8669, 5686, 2833, 7442, 1352, 4277, 2389, 3018, 1005, 1834, 9259, 8525, 5423, 393, 2314, 171, 8327, 3364, 7027, 3895, 9959, 4852, 7493, 2831, 9176, 86, 7187, 1518, 4539, 6905, 7863, 2551, 1392, 3775, 7698, 1477, 7364, 151, 3652, 6031, 4453, 7174, 4070, 2413, 1419, 2295, 6028, 7719, 7915, 5517, 5146, 6574, 3995, 2134, 4736, 1472, 4128, 5820, 2344, 1921, 8, 746, 2061, 9903, 9019, 4673, 8467, 4635, 8883, 1859, 8301, 5985, 4798, 9161, 130, 9427, 8392, 9733, 118, 3638, 9988, 9501, 9792, 2601, 4866, 9296, 6727, 298, 5090, 9537, 311, 1454, 4570, 6084, 9293, 6354, 9555, 6085, 2208, 503, 5717, 2014, 7586, 8860, 7903, 4549, 4043, 8186, 4162, 7520, 7531, 3582, 682, 8335, 5172, 500, 4867, 1279, 5005, 2009, 4195, 5829, 2416, 4733, 8194, 7192, 6137, 3436, 5812, 580, 9575, 1844, 4224, 297, 1466, 1915, 7132, 8789, 9980, 3011, 6677, 6237, 8865, 1401, 1496, 2951, 5832, 9433, 4650, 6157, 7789, 2788, 5108, 973, 640, 2155, 8507, 9181, 5049, 3529, 4056, 9553, 8088, 822, 883, 4511, 4016, 6756, 4057, 1144, 9800, 6696, 8863, 9542, 49, 6209, 467, 6092, 2632, 5656, 9288, 6912, 4807, 180, 9972, 2174, 7411, 6427, 4579, 3840, 4764, 9360, 3199, 233, 8983, 1907, 3730, 9805, 7639, 5389, 9053, 6591, 4665, 4096, 6240, 3184, 380, 4965, 1728, 9580, 669, 4594, 2660, 7607, 6365, 407, 7750, 6579, 2318, 2016, 195, 3378, 5167, 5511, 7178, 9257, 7083, 3262, 1635, 5363, 3377, 4818, 4, 3874, 2363, 3348, 5215, 6407, 7723, 8557, 5692, 4421, 3466, 6250, 6454, 9044, 565, 7468, 5184, 2431, 4345, 6366, 2581, 3478, 2939, 8908, 6578, 5978, 7617, 3379, 7653, 601, 1847, 6466, 2532, 5776, 4054, 3022, 3674, 8250, 7893, 8814, 3982, 8113, 8911, 5424, 7904, 2806, 9401, 3157, 1585, 4535, 8726, 6633, 3166, 604, 5212, 4536, 6369, 2976, 8288, 4627, 5615, 3732, 8308, 3893, 2132, 9445, 8174, 2871, 4379, 4388, 8348, 6328, 7073, 2544, 1640, 6205, 1699, 2378, 8345, 2390, 7301, 4186, 2582, 461, 5877, 1425, 7585, 4351, 127, 3770, 8727, 5507, 2270, 8448, 8453, 7644, 8676, 2955, 8846, 9637, 7930, 3677, 5158, 4609, 8633, 3784, 1253, 9977, 9964, 1222, 3651, 6077, 6514, 7950, 6978, 2450, 1389, 2263, 3404, 6609, 7830, 8233, 2037, 1900, 8719, 6027, 7464, 6673, 368, 1582, 148, 8323, 683, 5295, 5220, 633, 1855, 6476, 6282, 8981, 7613, 2814, 8562, 9432, 2438, 4104, 179, 6063, 2957, 482, 4012, 4231, 5410, 9077, 3963, 98, 1910, 9806, 3471, 2893, 2711, 5559, 6627, 6074, 1152, 9327, 7194, 4908, 2636, 6072, 2138, 285, 3031, 4909, 3969, 176, 7933, 2981, 9241 ], [ 2828, 6587, 8028, 4964, 9985, 7655, 4835, 913, 983, 1217, 5499, 1360, 6972, 6917, 4491, 547, 4125, 952, 4085, 9687, 473, 6728, 990, 6330, 8549, 7032, 4357, 9166, 629, 7438, 3757, 7045, 1123, 9382, 1200, 1066, 5300, 5552, 6397, 8291, 8776, 7932, 6618, 9201, 7861, 2944, 2937, 2056, 1471, 3637, 7691, 6363, 6973, 3071, 6662, 143, 526, 3857, 1181, 5475, 9726, 3128, 7935, 3409, 8663, 5661, 9758, 7487, 1111, 4233, 9522, 8649, 52, 1150, 9712, 1937, 3589, 6432, 3948, 5608, 2771, 3061, 9369, 8534, 361, 7440, 4329, 8402, 4927, 8685, 5571, 9929, 6804, 7592, 1959, 7556, 9658, 5569, 2663, 3208, 7790, 997, 3943, 8072, 2579, 6814, 5645, 39, 93, 8078, 6893, 3842, 9585, 9351, 377, 4958, 6580, 6362, 3825, 1332, 1154, 7732, 1541, 7182, 3076, 569, 8300, 5819, 6049, 9787, 7641, 3551, 7871, 8890, 3457, 8083, 5543, 7461, 2107, 5032, 4599, 8737, 8299, 7393, 8228, 9236, 7272, 3233, 3204, 8943, 8797, 3111, 6059, 4691, 9894, 2805, 4749, 9910, 3001, 6892, 2848, 1889, 1736, 3956, 523, 1647, 6584, 9682, 6064, 1276, 2543, 707, 7424, 3464, 8979, 7123, 6, 5059, 1970, 6581, 5156, 1483, 5934, 9400, 3829, 4151, 1981, 7564, 2959, 5772, 4382, 2328, 1073, 1690, 4815, 5260, 8888, 737, 7376, 3490, 1905, 3808, 8013, 5583, 9417, 888, 7774, 9655, 3806, 2986, 6830, 5731, 2557, 4936, 2789, 3643, 3152, 985, 7500, 8353, 4864, 5677, 2606, 6600, 587, 3692, 8535, 4270, 9439, 9598, 4110, 110, 1453, 7351, 9592, 6617, 650, 2657, 7741, 4097, 3205, 8709, 4109, 2713, 7876, 9574, 5694, 77, 7150, 607, 9156, 1814, 9877, 1536, 4389, 8394, 1428, 3607, 3488, 3220, 7484, 635, 4403, 1850, 5160, 5940, 7801, 6110, 2683, 5831, 6542, 7113, 953, 7338, 2984, 6916, 2746, 3765, 2402, 7788, 1709, 3722, 5270, 590, 1465, 7711, 756, 1476, 9105, 5063, 7217, 3057, 8477, 6540, 7198, 2719, 1800, 2123, 1198, 6463, 5652, 6196, 3760, 7513, 8571, 5340, 5550, 6739, 4460, 6522, 4617, 2569, 3559, 9217, 5859, 2385, 7562, 9142, 7336, 2956, 4428, 7619, 2249, 4034, 3534, 493, 5290, 6762, 7952, 8246, 5482, 325, 2196, 2436, 1744, 7109, 8646, 5693, 3905, 5612, 9135, 2334, 6991, 2232, 4191, 8645, 9722, 2677, 5764, 2319, 2517, 6441, 9667, 3085, 3684, 1374, 2886, 1672, 1934, 1929, 7328, 799, 8401, 7389, 4683, 192, 2245, 9278, 938, 8212, 5974, 4219, 9209, 2883, 7762, 2584, 9012, 9550, 6729, 3447, 6451, 544, 909, 7964, 5081, 5321, 6450, 6042, 439, 9112, 7195, 3975, 1159, 3195, 3890, 5617, 6435, 3217, 3433, 6863, 1001, 1948, 6831, 5467, 7235, 8334, 4412, 9586, 5924, 6784, 9110, 5052, 5140, 8241, 8243, 1958, 63, 757, 3298, 1368, 605, 3887, 2102, 8720, 6947, 5120, 8397, 7943, 5746, 3078, 5741, 3731, 6130, 1064, 6651, 5609, 5345, 5443, 2158, 1087, 3243, 3140, 8850, 9060, 428, 7402, 4772, 1021, 8259, 6653, 1589, 1494, 7509, 2239, 1778, 701, 2440, 4862, 1179, 4761, 1943, 4779, 3321, 5954, 3473, 2770, 8179, 1135, 8333, 8538, 810, 7064, 1082, 3693, 5095, 5044, 3907, 999, 3689, 4692, 8749, 2195, 8384, 2025, 964, 3627, 3216, 770, 1917, 3282, 3442, 7660, 6120, 5521, 8509, 5244, 7103, 7367, 40, 2482, 3491, 3278, 9557, 5607, 6664, 5998, 6478, 138, 1324, 9520, 3608, 5493, 4775, 9843, 6449, 5561, 4353, 6773, 8607, 1788, 4553, 3682, 1051, 1086, 1151, 4969, 5779, 8001, 3759, 7875, 141, 8800, 7116, 7780, 260, 9563, 843, 9551, 9005, 2761, 3586, 5073, 5558, 8197, 8142, 766, 2840, 9601, 826, 6789, 2253, 6364, 8853, 1829, 7782, 8861, 3306, 4011, 8984, 2830, 9095, 2434, 9198, 8956, 9036, 7158, 7548, 4346, 5700, 7542, 2931, 6249, 3373, 1747, 5714, 6558, 5766, 2682, 4739, 1094, 3841, 1417, 7659, 7862, 5665, 2207, 2284, 3434, 5841, 7183, 1652, 2345, 538, 8606, 3876, 3810, 1108, 8732, 7481, 1891, 3089, 3541, 7963, 6865, 6367, 437, 4573, 1633, 7043, 4759, 463, 6689, 7812, 2433, 1667, 3363, 8597, 4335, 9431, 9648, 3129, 6734, 5400, 4994, 4677, 6813, 4786, 5042, 5077, 8528, 1045, 5530, 9625, 9524, 1571, 4220, 7241, 7533, 6220, 1221, 688, 2084, 7739, 3500, 2857, 1537, 4174, 244, 5233, 9652, 3323, 7152, 9775, 1561, 8086, 1256, 3414, 9763, 4541, 9213, 1316, 2428, 7053, 1116, 5777, 7131, 7243, 4726, 4981, 7070, 2704, 4114, 2205, 9602, 7842, 2221, 1678, 6076, 7606, 5533, 1136, 5227, 6844, 4333, 9133, 2161, 3019, 9855, 6246, 4086, 3789, 8165, 9145, 3197, 1188, 6827, 4974, 2354, 881, 8192, 196, 8917, 4041, 7069, 7377, 7160, 7122, 9471, 5591, 3616, 3698, 1463, 3779, 2336, 9423, 574, 1431, 4538, 4768, 6848, 8914, 6636, 4105, 7823, 1036, 5019, 4719, 3408, 920, 8414, 2168, 3374, 982, 5083, 6663, 1797, 5085, 6312, 9253, 7317, 1456, 3691, 2480, 9535, 5308, 8768, 5275, 8191, 3761, 6274, 4639, 961, 8976, 7892, 9226, 4595, 5323, 4646, 6604, 1248, 868, 5029, 5463, 9020, 9392, 8012, 5675, 9672, 2547, 7038, 6462, 8144, 1703, 6808, 8148, 731, 7537, 8289, 3360, 7010, 4985, 5403, 932, 418, 6952, 869, 352, 8406, 3648, 5670, 7569, 4823, 1435, 2647, 4689, 4900, 5217, 3343, 4973, 4100, 4813, 4765, 9729, 8031, 6421, 9141, 5836, 4989, 8550, 2759, 9200, 4729, 6178, 7543, 7974, 2634, 6704, 6479, 2550, 7931, 5014, 5977, 4264, 8579, 9130, 2738, 6629, 1586, 5872, 2607, 8763, 9397, 5319, 2642, 3284, 6488, 5213, 7035, 4189, 8466, 6692, 53, 3316, 5728, 7447, 4826, 588, 9942, 3847, 9955, 6699, 8090, 3820, 5730, 1358, 214, 1485, 9771, 342, 6023, 51, 9885, 1328, 7666, 7326, 5869, 8400, 6524, 7855, 9933, 1986, 7611, 474, 8705, 5639, 8569, 1972, 2430, 2850, 56, 8695, 6840, 283, 8244, 6872, 4847, 5439, 5532, 3916, 1618, 8812, 425, 772, 2815, 1365, 3954, 8925, 8454, 9844, 1383, 9539, 3824, 3783, 3802, 7713, 9735, 2869, 9824, 3583, 1674, 8885, 2558, 103, 6774, 376, 3426, 4078, 8267, 1429, 6200, 8217, 2700, 9, 2827, 4463, 3021, 1155, 966, 8224, 7682, 3514, 3870, 1911, 137, 9402, 2518, 7176, 78, 7657, 9086, 4216, 4516, 4103, 3835, 3801, 5259, 9325, 397, 2275, 6481, 2286, 6426, 2192, 7050, 7684, 1430, 6406, 1232, 7199, 1999, 1026, 2331, 4976, 9600, 7321, 8426, 9849, 5950, 3999, 3657, 2133, 4170, 559, 536, 7561, 4356, 2401, 931, 2899, 6967, 8713, 9059, 3675, 8529, 608, 4940, 357, 6166, 9430, 534, 1017, 3054, 6749, 3049, 8859, 7428, 743, 6145, 5592, 2274, 4568, 3297, 5502, 3268, 5804, 8232, 6412, 2661, 264, 3043, 7285, 615, 9446, 2303, 8034, 7694, 2674, 9986, 105, 5414, 2599, 6081, 7530, 6956, 3242, 9545, 7954, 767, 2576, 9513, 6320, 2003, 814, 5780, 4713, 7340, 245, 8875, 7283, 9788, 1427, 582, 9157, 1716, 3159, 8945, 2342, 912, 8029, 4528, 2541, 1577, 2705, 248, 563, 5007, 8526, 9268, 8346, 7221, 8968, 5478, 2181, 1096, 8708, 5075, 8563, 1821, 8457, 7761, 5296, 3752, 9291, 3351, 7435, 4019, 7647, 367, 2486, 419, 4925, 1220, 8545, 7884, 9773, 4882, 1321, 2775, 6966, 9982, 7044, 5621, 2666, 11, 9340, 3448, 6698, 8886, 7980, 6694, 6681, 5266, 7883, 1631, 6833, 5365, 3467, 7169, 8156, 9617, 1149, 7253, 2811, 812, 8044, 9549, 4893, 6439, 8175, 1772, 9860, 703, 5636, 4565, 8501, 4776, 7709, 4432, 3838, 9289, 4052, 1173, 7628, 8312, 6026, 2047, 2333, 7565, 1704, 3748, 1056, 5879, 2332, 2727, 3080, 6041, 9489, 648, 6622, 213, 5377, 7316, 831, 862, 4153, 2359, 6518, 362, 8446, 2183, 2892, 3025, 6723, 3812, 1369, 2587, 5194, 8355, 9023, 8926, 675, 9750, 8020, 4787, 3741, 8793, 8254, 8609, 2617, 821, 1989, 3737, 2546, 455, 7558, 9560, 332, 8764, 9500, 3778, 2077, 7018, 1304, 711, 6184, 8225, 8227, 6977, 749, 9634, 5201, 9861, 2928, 8461, 8973, 8788, 6272, 1409, 9747, 5098, 3540, 1395, 6089, 5017, 5101, 6117, 2121, 6448, 1405, 7924, 9914, 8271, 8687, 4574, 5230, 5513, 5202, 3384, 1556, 2026, 3614, 4848, 1012, 6894, 1997, 5595, 1437, 3563, 8987, 621, 6531, 8544, 820, 7251, 8601, 4588, 7683, 9711, 6170, 2478, 3524, 7002, 7546, 3009, 7298, 8195, 4505, 7012, 8084, 4998, 1177, 9738, 2268, 3633, 4136, 8422, 7127, 8369, 8206, 6148, 2595, 5152, 9565, 5222, 3733, 8787, 2182, 9320, 4671, 5946, 8998, 438, 553, 1424, 6516, 8963, 1686, 4789, 5818, 8158, 6239, 1774, 9890, 81, 3822, 4863, 5758, 7517, 8820, 5097, 5965, 7359, 8451, 7005, 7371, 8035, 798, 4723, 5863, 9242, 708, 235, 2337, 7844, 1867, 9920, 702, 6885, 2487, 5071, 7850, 4506, 3342, 5392, 8805, 185, 9212, 5181, 6419, 9879, 6052, 2361, 2964, 1613, 4261, 732, 5720, 9476, 6159, 8512, 154, 4871, 6234, 6224, 3294, 6509, 811, 1552, 4141, 1042, 8112, 9470, 763, 9190, 717, 778, 4319, 3991, 2967, 3239, 3843, 4996, 1210, 2219, 5827, 4455, 9033, 2692, 2247, 9683, 1370, 975, 9041, 8748, 9564, 1777, 689, 7474, 6976, 4410, 1266, 7877, 3283, 5737, 9467, 9644, 8757, 9582, 8739, 4794, 3261, 4580, 9116, 9994, 7167, 6796, 4896, 2596, 9784, 2624, 7455, 5462, 6095, 7313, 292, 9926, 1842, 4470, 8417, 543, 6103, 3892, 6720, 1767, 2651, 481, 6787, 4605, 9010, 162, 1671, 2513, 7990, 310, 6836, 3967, 6867, 5205, 9231, 9742, 9015, 3509, 6504, 4000, 7969, 4187, 7651, 9812, 2366, 7014, 918, 9317, 4262, 6858, 6207, 4859, 1097, 4446, 6843, 9509, 5722, 7138, 3993, 6257, 6283, 3994, 3219, 6551, 2079, 8048, 2568, 8533, 3228, 1473, 550, 1390, 7591, 10, 7674, 1510, 1761, 7700, 1307, 8093, 6928, 3095, 5182, 849, 7436, 9873, 5828, 5991, 5297, 4735, 7970, 3247, 5112, 4894, 4123, 1609, 4934, 3739, 7335, 337, 6284, 7593, 1415, 6413, 7063, 2659, 1762, 664, 5582, 8249, 1377, 6371, 5509, 5723, 5538, 2447, 5732, 4490, 1205, 358, 4722, 6679, 3397, 331, 6310, 1508, 4326, 6321, 5422, 26, 4121, 960, 3483, 6468, 7858, 2468, 6959, 5304, 2845, 956, 4476, 8054, 555, 4892, 8428, 2227, 8822, 3475, 6401, 349, 4688, 9891, 6256, 338, 5105, 5457, 8399, 623, 712, 9355, 7431, 3710, 824, 3224, 9120, 3240, 3482, 6555, 5342, 8616, 1434, 1969, 9852, 3221, 7829, 794, 8065, 6512, 2927, 227, 4507, 691, 3980, 4801, 5030, 431, 921, 4395, 1502, 8403, 8584, 6824, 7985, 442, 2644, 9803, 6748, 3676, 5404, 9532, 1320, 7712, 2311, 6712, 2044, 4661, 4532, 6716, 8465, 506, 761, 8134, 9267, 3977, 4230, 4577, 2639, 2865, 3512, 116, 1489, 7458, 1636, 18, 7734, 2064, 2923, 2067, 5960, 4682, 1654, 4636, 3311, 751, 4583, 5199, 5371, 3215, 7602, 9963, 2688, 3445, 486, 7621, 5262, 7664, 896, 6499, 5973, 8199, 3213, 5602, 5263, 19, 111, 6211, 13, 8866, 9127, 1960, 389, 3546, 7686, 9965, 6660, 1574, 124, 1363, 4808, 2074, 4066, 7905, 5447, 8634, 6538, 6331, 3127, 7675, 7976, 5041, 378, 7231, 558, 1367, 724, 9123, 5454, 7688, 4140, 9443, 8483, 5925, 1203, 308, 1831, 5285, 48, 2198, 1216, 9945, 8893, 7036, 9003, 8624, 5864, 1413, 7282, 9287, 4795, 2776, 7229, 6951, 5218, 1713, 399, 9465, 2616, 9919, 8661, 3797, 1394, 1534, 1213, 6325, 3227, 7814, 1196, 1347, 9007, 1564, 937, 9042, 1601, 4880, 9460, 646, 4641, 4571, 6291, 3161, 8050, 5206, 5988, 729, 3864, 1581, 5989, 2594, 3241, 6675, 1207, 9657, 476, 7479, 1446, 6528, 647, 928, 8074, 4669, 8022, 1092, 1127, 2858, 1186, 5883, 1445, 9164, 5629, 1832, 1810, 8652, 3826, 9786, 1538, 7716, 3610, 9160, 2757, 7753, 6373, 7244, 5560, 5961, 8881, 9051, 5520, 3252, 3798, 1882, 5742, 7299, 2888, 3201, 3862, 5084, 7467, 334, 684, 5027, 3386, 6736, 5770, 8605, 4305, 7161, 5128, 9740, 2796, 7115, 6241, 6932, 3016, 904, 4806, 3863, 242, 1758, 3336, 5729, 3050, 3154, 6071, 1634, 1920, 3959, 9626, 8766, 3435, 9870, 2870, 9149, 3169, 5327, 1939, 3599, 8665, 230, 3198, 9421, 901, 2481, 2137, 2808, 7156, 3253, 1805, 528, 4079, 6868, 6162, 6431, 9512, 8409, 4245, 540, 4486, 182, 3511, 5672, 7919, 36, 9578, 2142, 5311, 5330, 6783, 6530, 1122, 1756, 6233, 3701, 193, 840, 6124, 4306, 9766, 1764, 9083, 6654, 7646, 8264, 5902, 6345, 9435, 5039, 4178, 3714, 9569, 6306, 5987, 2610, 1461, 5332, 3458, 488, 9377, 7845, 5708, 8620, 5919, 914, 6232, 9780, 4827, 7991, 4720, 4938, 4449, 3744, 7215, 8960, 1881, 3153, 8913, 2213, 1770, 2291, 3690, 1852, 7128, 3176, 6612, 6355, 1488, 3148, 3533, 8213, 3949, 9348, 7559, 6011, 2559, 7568, 8904, 2493, 9396, 1464, 5221, 2621, 1663, 5124, 803, 6719, 4533, 5835, 5815, 5316, 3352, 1237, 530, 6535, 3275, 5691, 4706, 7090, 3028, 7168, 5331, 3000, 2109, 3645, 7323, 3740, 2101, 4433, 8411, 7854, 1535, 4200, 3186, 6346, 1936, 5528, 837, 5752, 1650, 5204, 5080, 7051, 5046, 8828, 496, 3072, 3403, 9785, 2072, 2464, 3891, 8637, 343, 5065, 7139, 9136, 4489, 641, 9412, 1299, 7540, 3506, 6425, 6911, 9386, 594, 4584, 3771, 9073, 4418, 3470, 8153, 1930, 1597, 2114, 1313, 507, 1878, 1354, 5544, 4488, 8780, 6143, 8967, 1526, 8215, 4048, 4737, 7775, 9624, 5505, 4950, 2466, 4525, 8684, 4380, 7738, 7433, 7693, 1342, 551, 864, 8517, 9749, 4369, 2641, 5386, 827, 2237, 5421, 2878, 4645, 2457, 1621, 5147, 2528 ], [ 1047, 9899, 2175, 7979, 3702, 8921, 3264, 5787, 5436, 8939, 2154, 5962, 7667, 9616, 9016, 2381, 8184, 2842, 9609, 129, 1604, 1397, 8294, 9503, 3561, 7408, 1469, 9303, 7920, 7763, 1933, 23, 4350, 7638, 3964, 6452, 8166, 5192, 2979, 203, 8738, 9746, 6815, 9371, 3131, 1364, 7900, 7609, 406, 3155, 5955, 8440, 4108, 5435, 5464, 5440, 6489, 3520, 8905, 2282, 9995, 7153, 2652, 4263, 498, 1511, 2715, 7946, 6206, 4879, 6043, 7988, 2935, 3013, 5526, 8877, 2261, 548, 2186, 6118, 5453, 2118, 981, 4875, 935, 902, 9222, 8654, 8699, 7337, 6228, 2407, 7539, 95, 2492, 8124, 1624, 6641, 9757, 933, 7797, 9691, 6456, 7913, 4822, 7977, 2742, 8130, 879, 4522, 4135, 2355, 1553, 7864, 5968, 5945, 7245, 1037, 4190, 943, 6114, 3794, 6138, 816, 3337, 5898, 3097, 3265, 7047, 17, 3998, 9485, 5536, 3037, 4434, 6414, 7144, 3210, 2847, 7771, 7890, 4116, 6543, 3530, 4152, 1043, 6582, 7510, 8396, 8802, 9571, 9054, 9153, 4072, 6957, 9080, 1280, 7039, 3768, 6513, 3164, 9473, 3171, 6037, 3859, 5253, 8167, 3655, 6242, 1952, 6024, 1385, 1301, 3579, 2382, 5114, 4027, 4132, 7923, 5339, 4933, 3542, 381, 3588, 3578, 1176, 4338, 5755, 8778, 7822, 5867, 3358, 3492, 7744, 1513, 9960, 3495, 3811, 725, 4071, 7656, 6635, 7503, 9084, 6520, 1752, 149, 2882, 4318, 3942, 2269, 8032, 5115, 8270, 8341, 2264, 5284, 8648, 3734, 7343, 1450, 1685, 4980, 7765, 5412, 4452, 9841, 7787, 9270, 1239, 187, 8007, 8494, 1575, 5328, 8897, 3543, 9666, 632, 1459, 9117, 2699, 2202, 2962, 4845, 6163, 8496, 3688, 3612, 5431, 4800, 7312, 8561, 6983, 29, 7897, 8668, 9276, 2631, 3914, 344, 3423, 7399, 2001, 653, 5372, 1295, 4526, 7870, 24, 7570, 4271, 2071, 4037, 3371, 9612, 2460, 6577, 5283, 8986, 7914, 5842, 5324, 5088, 6806, 1391, 7901, 8847, 5118, 5523, 2545, 4240, 4497, 4960, 5375, 1595, 8268, 9818, 3555, 2, 9488, 6596, 8882, 7250, 8839, 8109, 1138, 1500, 2141, 1795, 6940, 8582, 3455, 8356, 8079, 963, 3600, 1711, 1191, 7553, 1024, 4171, 7880, 1705, 6878, 2115, 1666, 4941, 8723, 2524, 7369, 6073, 2591, 3320, 3796, 3763, 7573, 806, 5981, 9306, 750, 2571, 9638, 8190, 2420, 309, 2798, 4566, 5191, 7962, 9037, 2280, 5525, 4269, 4235, 1091, 1467, 1695, 5577, 3077, 5216, 7940, 3381, 692, 4185, 1765, 5143, 4829, 1983, 7362, 7466, 5055, 6644, 686, 2838, 9188, 9484, 8751, 6038, 5666, 2267, 2609, 3250, 9247, 679, 6032, 792, 4508, 2638, 3839, 9768, 4411, 9566, 5378, 6818, 1726, 2622, 8305, 4631, 695, 6422, 9307, 828, 4742, 5170, 497, 1007, 7922, 4597, 4919, 2262, 2024, 7577, 5048, 4732, 671, 4993, 1951, 9981, 8936, 3123, 9184, 109, 3968, 8974, 2502, 745, 9791, 9504, 4183, 1803, 9442, 1406, 6190, 8722, 5933, 9218, 3416, 9230, 4675, 2978, 7366, 270, 9457, 6353, 1725, 4260, 4975, 4546, 5775, 3984, 6254, 3560, 7295, 8100, 294, 1963, 5855, 6986, 7413, 8576, 2443, 2040, 2914, 4058, 8126, 1720, 4122, 6850, 910, 8480, 3686, 9886, 7747, 8502, 9170, 9404, 5926, 1974, 1895, 2217, 2471, 8887, 1639, 9462, 6925, 9649, 4137, 5226, 4628, 6497, 3346, 2090, 6444, 1945, 3792, 3592, 9175, 1057, 9621, 8322, 5254, 131, 723, 8431, 3288, 2879, 6942, 5471, 7170, 4500, 760, 3187, 1714, 6154, 3659, 5293, 9720, 2057, 2356, 5461, 3867, 3901, 4093, 4297, 4472, 8047, 3245, 3853, 4378, 4836, 8351, 4073, 9292, 8419, 2135, 6194, 287, 665, 839, 3389, 3339, 7021, 1420, 6914, 3145, 70, 4647, 4703, 1215, 46, 3181, 3721, 9193, 870, 5154, 8101, 1376, 2900, 8038, 663, 2432, 7678, 2583, 7767, 2002, 7981, 9762, 7760, 8492, 3287, 3310, 4615, 6125, 7084, 5387, 4327, 8707, 2451, 9883, 4031, 9067, 4942, 1410, 4792, 774, 3793, 519, 8160, 4582, 5801, 2868, 5195, 8297, 2989, 2256, 9961, 3189, 8021, 5856, 3259, 2695, 4839, 3418, 1062, 3585, 346, 6562, 1102, 3326, 2288, 3755, 8427, 3831, 8202, 6079, 3644, 2987, 3020, 789, 8619, 6772, 2490, 7926, 7430, 3340, 3925, 9645, 2030, 9496, 802, 2585, 6340, 4076, 9092, 9968, 4227, 6335, 5107, 3330, 8139, 9380, 7003, 3926, 7357, 2792, 9874, 6667, 5545, 2873, 123, 6223, 2223, 3976, 5432, 6409, 6248, 7959, 4272, 7061, 4865, 4741, 6794, 5825, 3860, 9062, 6496, 8504, 8231, 2654, 2786, 6005, 7416, 8834, 5756, 5594, 8178, 3940, 915, 16, 8170, 7588, 5649, 7280, 2930, 3720, 68, 5281, 5701, 1733, 8286, 9610, 9802, 4015, 5668, 9956, 1288, 9590, 371, 4514, 2849, 941, 7088, 1687, 9642, 8614, 4656, 9494, 575, 6054, 8196, 5157, 9692, 7578, 8111, 1514, 4832, 8698, 9514, 3800, 6309, 136, 9685, 8420, 5490, 2862, 8313, 9737, 8247, 8775, 8599, 649, 3920, 8869, 177, 4901, 9383, 2156, 9455, 6201, 4241, 7868, 4952, 4139, 7851, 7917, 9921, 1573, 3272, 5813, 5895, 7714, 4406, 9664, 398, 9180, 9918, 5162, 9523, 8269, 5472, 9675, 4910, 3871, 4710, 8018, 4050, 3046, 4906, 9106, 8840, 6615, 5938, 7545, 3393, 9576, 7809, 6744, 4117, 4629, 2604, 5857, 252, 62, 9347, 6829, 7234, 6909, 6695, 8653, 836, 5459, 619, 6396, 6344, 5486, 9808, 2646, 3451, 385, 5547, 1311, 6597, 4614, 9262, 1683, 9939, 8781, 4225, 2901, 3678, 7462, 8570, 7827, 5734, 7057, 2006, 8498, 9661, 8991, 1753, 1050, 8151, 3598, 5480, 4634, 89, 2050, 8935, 6090, 7033, 1990, 9998, 706, 1560, 2725, 2225, 636, 5256, 4918, 3032, 3212, 5066, 4275, 9990, 1551, 3830, 5854, 7544, 5589, 7916, 5651, 9872, 8798, 2128, 1462, 9273, 7538, 2686, 8009, 5853, 1061, 8697, 3110, 1300, 5931, 7228, 7998, 3117, 3827, 6779, 4465, 7968, 4064, 3790, 5793, 3727, 2271, 6630, 2960, 5868, 2120, 1527, 818, 8332, 8444, 3713, 5089, 7755, 7230, 3042, 6258, 150, 1665, 9708, 411, 4404, 9736, 9364, 9486, 3172, 6556, 8833, 4256, 2872, 3235, 7972, 934, 9070, 992, 9103, 4496, 3626, 3758, 1290, 9314, 8827, 6741, 4252, 2200, 4210, 9669, 3973, 7071, 8769, 7599, 4640, 4769, 8490, 8276, 9271, 3465, 8674, 45, 5171, 819, 1, 848, 4307, 3367, 4643, 7226, 7857, 7649, 1808, 6490, 178, 1338, 4211, 7330, 1023, 9897, 7023, 2603, 6301, 6129, 9298, 1693, 7498, 1264, 7984, 3263, 1372, 7346, 8336, 1090, 5235, 4842, 4330, 8252, 3816, 7860, 76, 6821, 5676, 7772, 115, 3844, 3661, 2448, 6297, 3953, 8845, 6642, 7196, 6507, 8317, 9384, 8900, 4188, 6950, 4970, 4157, 1404, 3532, 6153, 5305, 2246, 4705, 8260, 33, 8209, 392, 2851, 1849, 4436, 3774, 8238, 4638, 369, 8621, 6566, 3553, 6121, 4512, 9826, 9505, 8304, 9823, 8375, 8999, 4917, 3088, 9055, 375, 984, 7140, 296, 699, 4788, 7427, 1371, 5211, 9316, 8058, 2597, 3289, 9597, 4604, 2484, 4477, 3709, 9028, 1688, 5689, 82, 2887, 7311, 1768, 6226, 4767, 3295, 2708, 9588, 6460, 3833, 5744, 2452, 1871, 1657, 4612, 2675, 4601, 9410, 7137, 2608, 5033, 8799, 4304, 4124, 4467, 28, 2554, 9215, 5590, 7779, 4493, 5574, 8464, 2477, 6115, 8791, 2098, 9620, 2035, 1570, 6691, 1393, 5769, 6750, 2689, 9252, 6165, 2996, 1134, 8767, 2322, 317, 2327, 3093, 3392, 3619, 7112, 3625, 8574, 8229, 4833, 2422, 2194, 2598, 674, 1335, 1013, 4373, 7121, 954, 5930, 7953, 4209, 9101, 2435, 1337, 1626, 2799, 1003, 7514, 5546, 7702, 7736, 8736, 7031, 1807, 7042, 2885, 8398, 4817, 730, 6060, 7703, 9761, 6526, 8328, 9113, 2977, 9917, 727, 3098, 7983, 9008, 7927, 7124, 4923, 7015, 1242, 3521, 6464, 9121, 6093, 6715, 4309, 9912, 7407, 3407, 2555, 1515, 2075, 6861, 2736, 5556, 8265, 5957, 2086, 402, 4718, 6549, 8388, 8460, 2974, 2841, 8577, 5405, 5847, 9031, 5056, 3344, 965, 6477, 2370, 1381, 3048, 9962, 7001, 2732, 3640, 4180, 146, 6532, 8164, 4402, 8391, 4644, 8470, 6771, 9322, 1269, 2777, 8472, 9653, 1588, 5023, 2393, 9000, 2694, 5298, 9867, 4315, 6319, 698, 2341, 7961, 259, 8408, 8462, 7818, 2165, 3052, 791, 1975, 232, 8931, 5683, 9878, 1319, 9079, 1547, 7582, 6428, 1305, 561, 5239, 3376, 2548, 4156, 4945, 1258, 9993, 5488, 8235, 6998, 7486, 1019, 1848, 1985, 2703, 4014, 5980, 4439, 5243, 316, 3635, 9992, 8771, 7130, 8955, 8795, 9966, 8053, 1804, 2394, 5618, 2495, 4344, 6722, 9915, 4004, 2807, 6788, 3950, 4961, 487, 96, 1903, 8310, 3632, 5397, 6645, 4223, 1077, 7567, 4365, 6198, 6554, 2758, 780, 3135, 4529, 1976, 8615, 3602, 7781, 8975, 8519, 2076, 1025, 5271, 8015, 9893, 7699, 5826, 3947, 5214, 4819, 2572, 7135, 5605, 6686, 4010, 8129, 6688, 1642, 7184, 6267, 8051, 1049, 6770, 1883, 7350, 7757, 5709, 5119, 978, 8567, 3225, 2429, 9048, 1063, 9783, 1692, 7971, 5979, 3630, 37, 8594, 5886, 567, 9641, 1115, 3909, 6631, 2007, 7676, 4161, 4551, 8642, 339, 5837, 3150, 2717, 9973, 8155, 2215, 1255, 5983, 5932, 6529, 3293, 7412, 4814, 2560, 6307, 5899, 2462, 1681, 7742, 6661, 4144, 8671, 3724, 4199, 2743, 4851, 6469, 7966, 6993, 2826, 2063, 3438, 112, 5790, 4127, 680, 6191, 6467, 5501, 6109, 464, 1964, 7630, 566, 1182, 3680, 2790, 1529, 1219, 3137, 5727, 2877, 9376, 1027, 9339, 8909, 6221, 8729, 9640, 8940, 7873, 8089, 9732, 8045, 6036, 3518, 8972, 7453, 1243, 2029, 8120, 4278, 5568, 8854, 8716, 3718, 2054, 66, 3260, 8730, 6252, 2078, 5228, 6381, 5141, 6474, 1333, 2309, 3904, 2635, 7754, 5149, 4149, 4429, 2130, 8482, 3063, 7521, 9405, 8899, 6628, 7246, 4120, 7205, 6350, 3206, 3921, 8393, 2920, 4069, 7319, 7584, 7828, 9261, 2028, 9472, 875, 3723, 1353, 4753, 3034, 2258, 5572, 627, 3934, 6149, 1380, 2924, 8330, 5355, 5822, 8879, 9068, 409, 7710, 5091, 6359, 8933, 1351, 4576, 9518, 4177, 7368, 4758, 8759, 8568, 6260, 6793, 2917, 2289, 1984, 2570, 5782, 9953, 4115, 8623, 2503, 6922, 948, 8643, 9943, 3503, 4226, 9613, 1418, 2209, 5004, 7951, 8382, 620, 9976, 8929, 6022, 7614, 6933, 2765, 4349, 1350, 6385, 2529, 4793, 7423, 8811, 3597, 2837, 8813, 6398, 2062, 1388, 4435, 5038, 1078, 855, 5329, 8141, 8418, 7748, 3355, 9122, 1143, 5040, 3222, 1441, 527, 8379, 5620, 7869, 2863, 895, 3400, 6881, 4295, 7629, 3596, 4098, 50, 395, 2573, 8994, 2059, 9308, 5531, 3456, 4341, 7197, 9192, 5824, 634, 6835, 600, 5948, 3062, 3528, 6349, 9699, 4311, 8449, 328, 8831, 8253, 4204, 8868, 8365, 7807, 577, 8558, 1249, 8892, 6188, 1546, 6534, 8350, 5695, 6778, 586, 8993, 8965, 8996, 5302, 3365, 4006, 1982, 6457, 4266, 4755, 222, 3073, 5881, 5035, 8377, 9817, 8106, 3101, 7800, 2676, 8092, 79, 6197, 5642, 7535, 9660, 5187, 6179, 8523, 8052, 4426, 7687, 8373, 8331, 5335, 4589, 210, 2211, 1542, 685, 6270, 3121, 3399, 2085, 7406, 8326, 2423, 9776, 2105, 9011, 1721, 4717, 5874, 3437, 6904, 5603, 94, 8690, 2212, 8097, 2942, 9483, 3736, 470, 4825, 1506, 1584, 7727, 9076, 2737, 3746, 2600, 3398, 8486, 7006, 6536, 3699, 448, 7778, 2106, 2116, 7074, 4172, 1227, 44, 2248, 7804, 6563, 8617, 3910, 5765, 2094, 5450, 490, 2626, 7623, 5238, 4492, 2516, 8807, 655, 800, 9748, 169, 372, 4040, 1801, 5082, 6777, 7242, 5022, 979, 1932, 4834, 9043, 3889, 5982, 4257, 7478, 9573, 9507, 832, 2535, 1384, 6910, 9671, 6492, 9627, 7384, 1346, 1562, 4375, 6674, 9115, 5838, 2060, 1593, 8262, 4731, 8117, 6517, 3353, 1499, 4620, 9572, 9820, 5307, 7157, 1520, 2745, 2620, 5860, 6107, 1865, 1632, 290, 4134, 2566, 74, 314, 696, 2538, 5315, 4021, 4680, 8433, 8076, 7792, 5261, 3331, 4622, 9318, 3539, 2473, 7341, 5498, 322, 6430, 8180, 6424, 2299, 6799, 2824, 5268, 7166, 4870, 6901, 4242, 5070, 3502, 8413, 2612, 5527, 2820, 7825, 1208, 408, 4147 ], [ 2530, 6259, 4956, 6532, 8898, 3349, 6963, 4806, 207, 3266, 1489, 9166, 9782, 3822, 153, 4041, 8643, 3023, 3350, 1867, 7934, 4888, 1216, 7871, 4370, 9865, 1419, 3168, 1089, 5538, 1647, 5056, 5721, 3569, 1814, 7025, 1735, 2804, 9619, 463, 1633, 1922, 7369, 7670, 9319, 1386, 502, 8565, 8360, 7306, 4182, 4356, 8920, 5492, 7422, 5086, 8489, 4762, 2767, 7378, 1469, 3595, 6383, 7910, 6299, 4308, 1643, 5208, 4170, 8138, 1654, 1772, 3180, 7228, 6898, 6878, 1786, 4818, 8829, 3848, 3824, 8868, 63, 5007, 8766, 5824, 79, 370, 8680, 6900, 6578, 3470, 5956, 1340, 4676, 1558, 9471, 4632, 5459, 6511, 4043, 2523, 3501, 8254, 4693, 1129, 1587, 9908, 4464, 8309, 755, 3789, 1621, 5965, 9593, 903, 7398, 6569, 6464, 5090, 4483, 2352, 4713, 545, 379, 7833, 4890, 6397, 4412, 5983, 7285, 6717, 9092, 6557, 8156, 1941, 4886, 1454, 6712, 7294, 6779, 5519, 9089, 1537, 7817, 2121, 4796, 7514, 408, 6823, 9076, 4456, 7321, 3107, 8901, 9287, 3961, 8479, 9778, 1390, 8903, 6919, 8039, 8196, 6657, 765, 3161, 362, 9401, 4016, 1878, 5924, 6579, 8351, 603, 5272, 3669, 8531, 377, 4083, 4113, 8490, 1984, 2338, 8442, 8076, 330, 4168, 8727, 536, 2816, 8166, 5464, 7768, 689, 4364, 4404, 8233, 3769, 4204, 6718, 1880, 4585, 1234, 3136, 8322, 7518, 5892, 7982, 3660, 6929, 6091, 9534, 8223, 3117, 8477, 242, 4736, 7562, 1843, 2407, 2782, 1119, 677, 4788, 8881, 3411, 6424, 7045, 6776, 7018, 3727, 1602, 9110, 5309, 403, 4712, 2253, 2593, 4551, 7886, 4857, 3771, 230, 1987, 3305, 6339, 8030, 8465, 7317, 7836, 5060, 2761, 4406, 1460, 2505, 156, 249, 6204, 1563, 2771, 2872, 52, 8859, 8987, 9538, 5410, 4822, 7406, 6256, 932, 3714, 1428, 3307, 9502, 1212, 2777, 2101, 5858, 6037, 1376, 5344, 8519, 8838, 1716, 2193, 4339, 7639, 8338, 1135, 424, 6139, 9289, 7083, 8185, 6626, 3995, 5316, 3127, 5753, 5562, 6474, 4789, 9841, 7674, 3083, 3512, 1049, 7324, 8639, 7790, 8301, 4222, 1582, 8044, 5837, 7197, 8107, 9435, 6466, 1127, 4757, 8213, 8518, 9601, 4966, 6759, 7402, 2321, 2718, 9871, 4528, 2895, 5483, 4349, 7896, 9525, 7333, 9032, 2748, 4217, 8707, 7709, 9250, 1874, 2033, 125, 4661, 598, 7855, 8056, 2703, 6042, 3420, 6772, 6468, 4893, 4779, 3088, 9451, 5033, 981, 8068, 7663, 6891, 8913, 4837, 5173, 2974, 664, 5787, 483, 8433, 7637, 1766, 7431, 6666, 3430, 4401, 5962, 5512, 8160, 5841, 7998, 8088, 4223, 5192, 206, 8717, 3440, 2608, 2346, 6189, 6420, 6922, 7574, 7439, 8038, 8035, 6312, 1030, 4590, 1683, 6674, 9853, 7972, 309, 6962, 1015, 2166, 7950, 8364, 8858, 8290, 8780, 1828, 7194, 6770, 7788, 3820, 6454, 5661, 2840, 7354, 9517, 6029, 1228, 304, 1564, 5497, 6227, 802, 2934, 3764, 3482, 2210, 5898, 6764, 7230, 2409, 4826, 3363, 3329, 6025, 6752, 1112, 9811, 4258, 6457, 2894, 8815, 1852, 6304, 1847, 5253, 8266, 582, 8884, 1612, 4010, 4227, 9004, 6542, 7098, 37, 1783, 1157, 4011, 3582, 2149, 4030, 1724, 6527, 4810, 3169, 1409, 1853, 8653, 6692, 1882, 5609, 7375, 8624, 6426, 1797, 922, 2740, 6978, 7101, 9135, 9309, 4137, 3612, 1719, 2743, 2993, 6373, 6969, 8022, 2884, 3863, 3998, 1073, 8162, 8906, 902, 4519, 6676, 2187, 8473, 662, 7147, 3204, 8927, 1356, 5641, 4344, 8934, 8980, 3819, 4243, 8119, 8252, 898, 1465, 7799, 1542, 9073, 4322, 3926, 3625, 9560, 3396, 1936, 3150, 1639, 1692, 1869, 4190, 1596, 7548, 9915, 8381, 8316, 6931, 2643, 482, 5222, 3025, 6229, 1287, 5252, 6328, 5584, 9107, 386, 1117, 2271, 1050, 5154, 1070, 5986, 7166, 8057, 2610, 4774, 2630, 5846, 4209, 1345, 7609, 8255, 8879, 7082, 7521, 5938, 3796, 2103, 1093, 1812, 939, 8268, 5912, 3650, 9698, 3008, 9015, 8194, 2141, 7023, 2175, 6376, 77, 470, 7071, 7873, 8517, 4582, 6226, 6888, 1061, 3442, 3890, 9253, 552, 1133, 1729, 3896, 8352, 3320, 9215, 738, 7209, 8820, 4407, 9832, 5417, 3830, 2064, 1254, 9425, 5084, 5130, 8506, 8797, 2483, 4214, 8776, 8893, 5732, 5786, 39, 8996, 2319, 8789, 2098, 1644, 8350, 3532, 4232, 3264, 7024, 9944, 6245, 6879, 728, 6084, 5854, 2306, 3421, 8046, 7646, 7747, 6427, 2599, 1722, 1349, 1819, 6308, 8562, 3315, 7284, 301, 2887, 2421, 3679, 5666, 2518, 8468, 6988, 6554, 3853, 8796, 3356, 1544, 2731, 8821, 2008, 3606, 4670, 5250, 4950, 5480, 8476, 2246, 1131, 2188, 4244, 8528, 5049, 7604, 4995, 3405, 623, 9082, 8394, 5385, 9826, 4815, 1505, 5624, 5689, 9291, 9891, 3711, 827, 9849, 4716, 659, 2684, 2942, 7479, 9527, 8869, 5025, 8886, 4052, 2544, 9383, 4769, 9981, 2667, 8556, 3846, 561, 160, 336, 9446, 7271, 7731, 3529, 7427, 6386, 2315, 5799, 4985, 7535, 9653, 524, 6874, 4596, 9272, 9803, 3788, 8335, 7851, 9277, 5625, 2796, 5670, 6743, 3717, 7698, 9786, 7318, 1665, 4366, 8855, 2042, 2646, 5155, 9692, 2139, 6685, 3598, 4311, 2415, 3022, 4772, 4948, 4234, 9787, 9939, 4185, 2240, 7642, 4763, 9662, 4194, 6333, 422, 4255, 8807, 9608, 6866, 6868, 343, 7866, 7096, 1304, 9260, 2754, 2195, 6272, 4438, 96, 2072, 7410, 608, 1914, 9575, 816, 948, 7751, 8288, 4673, 4941, 5031, 7686, 392, 1575, 6287, 7301, 509, 6537, 3445, 5945, 2071, 4072, 4604, 4095, 3942, 6455, 6831, 3541, 5943, 8408, 5112, 2283, 3511, 4689, 1842, 4212, 3034, 5341, 8758, 3185, 9013, 3676, 8752, 5282, 9717, 5887, 7367, 6315, 7503, 294, 2373, 3899, 7139, 3344, 9475, 9829, 1225, 8135, 4602, 6758, 8915, 158, 2037, 2577, 4775, 5990, 1929, 6026, 4200, 2952, 2473, 7072, 3250, 5491, 9830, 6271, 9301, 6493, 5561, 4786, 9379, 4087, 4754, 3385, 8441, 6013, 1637, 7517, 6088, 3041, 2503, 9690, 7238, 1043, 7221, 8849, 1175, 6748, 4887, 2837, 5463, 7269, 5922, 2964, 6810, 3624, 1357, 7672, 2675, 9294, 8204, 5543, 4064, 2219, 9411, 1971, 4111, 9269, 7029, 5659, 4336, 9629, 4643, 6170, 2589, 8051, 4965, 8828, 8480, 4197, 8028, 8447, 9888, 8111, 7908, 2057, 3653, 7721, 1506, 2991, 1367, 32, 2940, 1863, 1289, 563, 4157, 3450, 7900, 4669, 7899, 959, 5223, 2932, 4794, 9755, 5505, 9084, 54, 7888, 6954, 6847, 7240, 991, 808, 8363, 7444, 8569, 7465, 8841, 5445, 701, 3792, 1459, 169, 5142, 4491, 8329, 3004, 9995, 4291, 5028, 5615, 2511, 5576, 1099, 8965, 538, 3838, 7651, 3069, 6669, 3357, 5243, 8606, 6560, 699, 7923, 6589, 9334, 3247, 3885, 4790, 6056, 7413, 1713, 4345, 7631, 3857, 9720, 8536, 1360, 7362, 6733, 6348, 4545, 4835, 3950, 6521, 8331, 1223, 6872, 6326, 9805, 2863, 5006, 1063, 1965, 580, 5286, 5778, 6938, 1674, 2140, 7943, 1956, 7707, 2017, 1358, 367, 3492, 468, 7112, 6012, 6864, 6701, 8063, 6836, 5034, 8139, 9824, 1418, 8580, 8627, 6933, 3498, 9913, 2393, 4926, 8415, 2470, 3543, 516, 7178, 2332, 3761, 3704, 5752, 1371, 5954, 3165, 7671, 1094, 1850, 2147, 289, 5829, 5364, 638, 8272, 1785, 6134, 2039, 5564, 5412, 6297, 8515, 1397, 5111, 7037, 6990, 2918, 3227, 8702, 413, 6507, 3800, 845, 2639, 9843, 1566, 6816, 1198, 9533, 577, 4352, 8924, 1576, 6611, 7596, 4077, 1591, 6777, 8303, 811, 4606, 2199, 5241, 5473, 7801, 9440, 5927, 1485, 9694, 9658, 9834, 237, 9584, 3386, 3260, 9182, 2978, 490, 2116, 7556, 3051, 2611, 7272, 9668, 5856, 487, 9158, 6, 1084, 8342, 5878, 4250, 5500, 2456, 4439, 3195, 9683, 2661, 1763, 3892, 5419, 8420, 3570, 8603, 5293, 9577, 1614, 8867, 4295, 2672, 541, 61, 8072, 1069, 3627, 589, 395, 8988, 4501, 5876, 8170, 775, 1208, 4024, 3431, 2171, 5133, 7382, 2375, 7303, 5115, 7123, 7170, 6364, 2370, 3091, 4289, 4062, 9838, 7772, 397, 2024, 7587, 1380, 3441, 4927, 3662, 1068, 2524, 157, 1431, 7977, 5808, 6458, 5796, 3261, 1034, 3986, 4090, 9350, 3317, 8140, 2348, 672, 511, 278, 5815, 4940, 5825, 6130, 1396, 7051, 780, 4929, 7262, 7551, 9051, 8103, 616, 7069, 3300, 4780, 5354, 92, 9594, 2619, 2818, 613, 1690, 1855, 3947, 9938, 6508, 831, 9064, 9725, 5262, 7594, 7699, 1375, 9304, 6200, 9034, 6850, 473, 2354, 822, 5710, 8006, 880, 1247, 7348, 4702, 1825, 1450, 4909, 5560, 2110, 7724, 5166, 1008, 9189, 6725, 9671, 2324, 4609, 6479, 7643, 6945, 1927, 8783, 5672, 9927, 9946, 3253, 6137, 1041, 770, 9027, 1286, 4967, 2973, 5580, 6754, 8774, 1581, 821, 9373, 2733, 1496, 5301, 7771, 3666, 5104, 1931, 7059, 36, 527, 5460, 5979, 9351, 9733, 2563, 1486, 4691, 7432, 7957, 2178, 9876, 3476, 5227, 2808, 4236, 462, 3187, 1477, 4961, 8108, 5313, 1756, 5880, 5244, 5472, 8260, 3148, 1923, 9588, 5889, 9005, 4925, 2841, 3077, 2060, 6105, 7179, 9452, 3728, 8010, 5346, 1712, 9254, 6363, 8353, 7668, 327, 933, 1347, 5797, 5834, 8722, 1691, 8231, 6656, 2749, 6996, 7778, 6721, 4725, 5545, 5307, 3471, 5616, 4867, 1168, 8610, 6274, 9346, 8801, 6072, 3331, 7812, 2288, 5400, 733, 9699, 6760, 227, 9241, 101, 1267, 7565, 9302, 4220, 3742, 7466, 782, 720, 515, 9443, 8514, 1363, 6221, 7259, 7850, 6417, 8771, 8874, 9285, 4813, 8594, 3962, 6447, 4611, 2674, 4672, 5021, 1258, 4505, 9697, 1901, 354, 8478, 8525, 9391, 7619, 4525, 9123, 4730, 4330, 1525, 2439, 9476, 8626, 7256, 7857, 6766, 495, 4282, 3068, 179, 6890, 9961, 7064, 7332, 1040, 7903, 5141, 4623, 6217, 1029, 6165, 7162, 7368, 5608, 3799, 8087, 4680, 6476, 9296, 7156, 2251, 2925, 9093, 8340, 2144, 1445, 6149, 5366, 6074, 5860, 1194, 8169, 2023, 2105, 2481, 6572, 6102, 1416, 5653, 4915, 3053, 3409, 1769, 3483, 3326, 7345, 4993, 4135, 2567, 3076, 2535, 9851, 850, 3933, 2471, 2943, 4686, 8184, 9460, 8134, 5389, 5988, 1746, 8214, 4517, 2444, 3279, 7927, 7387, 4001, 3708, 6661, 7165, 9196, 3286, 6714, 2893, 1687, 6342, 6051, 1378, 5937, 1187, 1195, 6096, 894, 3139, 7549, 2154, 9417, 8609, 1986, 8101, 4049, 2584, 2303, 4290, 6979, 4666, 3222, 7218, 2262, 1881, 1123, 3904, 3737, 2704, 5952, 9365, 357, 6431, 2574, 5046, 7775, 57, 2085, 8017, 6162, 2626, 5263, 804, 935, 154, 8132, 8343, 2650, 7809, 5667, 1611, 2218, 1918, 756, 4832, 4277, 9587, 7960, 4787, 1426, 4520, 3372, 2360, 6943, 3945, 4586, 8000, 9831, 7803, 5649, 9863, 4524, 843, 7870, 1809, 5896, 6099, 3774, 9828, 9821, 7984, 2844, 5507, 3031, 5083, 5590, 8983, 3043, 9364, 7893, 3953, 8190, 8596, 6185, 303, 9646, 5438, 5391, 4710, 1048, 3073, 5087, 1770, 4305, 7859, 1434, 3621, 9544, 4903, 5669, 188, 4843, 5078, 5015, 9098, 2634, 3110, 9421, 1916, 1873, 8741, 3636, 9087, 7990, 7183, 3378, 2350, 6017, 4221, 4477, 3939, 3575, 2015, 9025, 8734, 8116, 1076, 6044, 2069, 1466, 5136, 7028, 5303, 9833, 1161, 6801, 8657, 2551, 2179, 9852, 2191, 7843, 4821, 6301, 2583, 5235, 2236, 2899, 7542, 1262, 3343, 4442, 3463, 1136, 1509, 3756, 6490, 881, 4684, 5909, 1630, 9232, 4764, 217, 2811, 8876, 4654, 5322, 7730, 5972, 4318, 8060, 2275, 9217, 222, 4386, 1101, 7343, 6191, 1236, 6003, 2232, 173, 760, 3698, 4508, 714, 5899, 4591, 247, 4471, 6441, 6525, 3738, 123, 261, 1219, 1641, 8461, 7564, 1954, 3817, 912, 6649, 8649, 1862, 419, 1341, 5908, 7928, 1858, 554, 2798, 1928, 2755, 727, 4359, 2757, 4805, 8696, 8317, 2276, 9806, 5327, 9585, 614, 245, 1278, 7758, 6967, 7336, 2382, 4933, 141, 6648, 520, 2002, 7762, 4129, 5390, 6515, 6783, 3162, 4870, 826, 3112, 8372, 1035, 9256, 1007, 6452, 9712, 6529, 3128, 4419, 4337, 6218, 3661, 1079, 6038, 7602, 4004, 9060, 1107, 1510, 259, 1368, 3968, 1205, 5547, 5456, 1221, 2018, 1824, 6131, 3340, 2931, 9462, 6251, 844, 4423, 6207, 9665, 7229, 9984, 3325, 6896, 6127, 4207, 8397, 5203, 9977, 4616, 8772, 3459, 5198, 5610, 5392, 7653, 6292, 7196, 285, 2326, 7008, 8899, 772, 6558, 6617, 8688, 3047, 286, 698, 907, 8921, 8524, 5867, 9491, 717, 4841, 9596, 4563, 6621, 9238, 1983, 8511, 6223, 9634, 5700, 6804, 4014, 785, 486, 4875, 8237, 8978, 4512, 9094, 9558, 8810, 2565, 8850, 3584, 94, 3354, 4605, 2615, 2155, 9582, 7940, 9378, 3104, 2467, 6367, 5826, 67, 1656, 8002, 7916, 2864, 5453, 350, 4357, 8560, 7482, 5239, 300, 8393, 3528, 4947, 8384, 6842, 7161, 940, 7630, 150, 7203, 7351, 4904, 3191, 4445, 5852, 4793, 7145, 9514, 8075, 498, 8275, 5220, 3020, 7293, 8962, 35, 9770, 7577, 5408, 9484, 5553, 2120, 9714, 4329, 8007, 8457, 8484, 4484, 1246, 2378, 2807, 4379, 5891, 3754, 73, 3620, 4097, 7210, 1479, 9305, 7195, 2396, 4152, 5073, 5568, 8388, 88, 4493, 2549, 1331, 6889, 2143, 8400, 9099, 478, 5948, 3642, 4266, 3328, 8332, 7107, 2153, 1776, 2831, 64, 8636, 7484, 6438, 9590, 4073, 3018, 2268, 6472, 1993, 3181, 1904, 1452, 9497, 3278, 8540, 1959, 1224, 4791, 6531, 5535, 9631, 7837, 9169, 8715, 9038, 1652, 7231, 742, 606, 9016, 4104, 3783, 620, 6800, 6027, 8247, 1981, 6972, 2223, 2239, 9992, 1036, 5052, 3928, 6739, 7031, 4210, 2829, 9599, 4021, 9108, 3555, 8748, 7144, 1248, 2089, 8669, 6942, 7236, 7016, 471, 5835, 4026, 6694, 8073, 3000, 1052, 818, 1617, 6775, 2519, 6430, 5691, 238, 6033, 5745, 2629 ], [ 3723, 9605, 2119, 645, 6591, 3580, 4937, 4621, 8916, 897, 3460, 7300, 9494, 3494, 6765, 1274, 2853, 9183, 5264, 1100, 3213, 4468, 6950, 8739, 8948, 688, 8851, 3380, 2238, 4316, 8549, 6668, 3907, 401, 2896, 1653, 2992, 7713, 9799, 2261, 477, 7613, 1383, 1090, 2314, 6371, 4044, 7740, 726, 3310, 2582, 5054, 3973, 2485, 9721, 4518, 325, 3665, 8198, 4163, 9749, 3879, 4638, 7258, 1220, 1686, 510, 9262, 9685, 149, 4902, 5275, 6024, 957, 7116, 2944, 7506, 1385, 1677, 4164, 3221, 8501, 2169, 6761, 2765, 667, 8061, 9704, 4092, 5165, 9700, 7676, 1373, 4657, 3750, 643, 7275, 3726, 4900, 9548, 576, 1912, 5245, 4660, 6602, 702, 3241, 7093, 2399, 3446, 2414, 9508, 7312, 6461, 1943, 4307, 8757, 9894, 7678, 6483, 2404, 7068, 4842, 8675, 6188, 2494, 7759, 7360, 5967, 1271, 1147, 349, 825, 836, 1022, 1348, 3827, 7169, 4441, 3781, 1520, 7862, 2353, 1726, 391, 3021, 4470, 2689, 3149, 1738, 5705, 3050, 6538, 7250, 9840, 393, 9224, 9524, 1518, 3801, 8742, 7268, 8466, 8655, 8834, 9983, 8037, 3113, 5921, 3552, 5294, 6329, 3273, 1681, 4542, 2122, 1511, 9734, 6958, 2902, 7711, 5029, 7883, 9627, 7798, 2237, 632, 1995, 7733, 3481, 4836, 3990, 7734, 5128, 969, 8840, 4414, 6421, 1266, 5811, 5462, 9179, 8358, 4748, 3262, 958, 1675, 7703, 4205, 3913, 8205, 1325, 4015, 1438, 316, 6140, 4078, 6788, 2270, 3268, 8285, 1512, 8763, 5658, 1519, 2951, 2048, 4061, 7313, 735, 1535, 8976, 5065, 9335, 4334, 8273, 7207, 2707, 8258, 9081, 4195, 9439, 7289, 9674, 2602, 317, 6080, 2343, 5573, 3784, 3955, 2449, 3275, 2507, 3508, 8097, 6097, 9198, 2601, 4296, 8164, 3571, 4830, 1191, 7125, 8495, 2269, 2541, 3458, 8854, 4516, 8129, 9178, 7433, 5287, 4186, 3059, 4106, 8677, 9002, 9453, 1091, 6330, 3214, 7937, 6036, 1597, 7065, 7316, 8598, 4361, 1394, 4896, 3090, 9530, 7580, 1149, 3599, 7570, 9595, 3765, 7173, 4742, 5118, 2137, 8666, 6499, 978, 4556, 1351, 8709, 3170, 8667, 6054, 8803, 2766, 2781, 8561, 556, 6485, 2823, 6209, 1060, 1237, 3361, 8529, 7704, 9117, 654, 6563, 6379, 2791, 9679, 1773, 8963, 7495, 4719, 8173, 9308, 6366, 6700, 6357, 4964, 8612, 6322, 3915, 7959, 5751, 1113, 8318, 9563, 1403, 8074, 3477, 1206, 2878, 9565, 2631, 4756, 3778, 8155, 6060, 5159, 9392, 6009, 2377, 2231, 1483, 5023, 3697, 384, 8999, 7420, 6682, 1230, 1088, 7, 7137, 2598, 124, 2908, 3647, 2842, 2125, 8126, 7834, 5226, 7966, 4759, 7020, 6899, 5277, 6797, 8421, 5255, 8320, 4460, 404, 9328, 6960, 583, 5246, 1534, 7454, 6949, 6247, 3520, 2988, 3146, 8567, 5785, 6690, 9727, 9922, 9104, 1355, 3422, 3958, 3173, 8953, 8230, 7585, 6806, 9818, 6876, 6912, 6672, 9550, 8547, 3977, 4283, 3472, 6652, 937, 91, 8682, 9366, 774, 945, 4208, 2106, 8522, 2596, 7130, 5011, 2787, 484, 8207, 9987, 2923, 9428, 651, 9053, 9573, 7967, 993, 7638, 4637, 9994, 8939, 3348, 3554, 7554, 6506, 4687, 8369, 3400, 587, 9180, 4487, 7004, 5662, 5905, 187, 4977, 4994, 7571, 4625, 6325, 7039, 1826, 1554, 375, 909, 3993, 9765, 4310, 223, 3435, 6388, 5740, 7244, 4028, 8558, 3500, 8845, 8142, 565, 6767, 2459, 2945, 2561, 1164, 5072, 1570, 6757, 4332, 214, 2775, 5035, 263, 7776, 7755, 722, 9822, 5652, 9194, 6440, 9105, 8034, 3192, 1415, 9667, 2010, 882, 5552, 6771, 6897, 5269, 1056, 6411, 7070, 3743, 1789, 833, 3841, 9050, 9490, 9764, 8407, 8460, 3316, 1636, 1555, 8617, 1369, 7946, 2113, 2016, 7522, 8306, 1540, 9403, 9554, 7089, 8218, 2746, 9218, 80, 3255, 5431, 3144, 6336, 768, 9072, 4179, 4749, 7770, 5694, 8729, 3351, 1379, 9078, 4146, 1999, 2117, 6385, 1051, 8806, 6172, 7274, 1678, 2682, 4630, 8929, 2361, 9546, 9086, 8581, 5187, 9033, 262, 4198, 185, 2706, 7248, 6355, 1821, 3821, 5380, 5053, 4649, 1500, 2335, 1749, 6875, 7919, 7389, 2980, 8542, 5330, 7160, 590, 7260, 6071, 6181, 1605, 1285, 5863, 1829, 4879, 497, 3634, 6094, 84, 528, 3861, 7838, 2933, 3906, 915, 8082, 1760, 9604, 6184, 1615, 5194, 8144, 5961, 1323, 9693, 62, 2279, 3974, 213, 1109, 5812, 715, 8656, 6041, 1875, 8671, 4314, 1023, 2772, 680, 5444, 8790, 2726, 6632, 9730, 7774, 9464, 11, 9528, 6660, 1032, 418, 535, 5793, 3675, 269, 4559, 6640, 9600, 178, 6708, 6449, 601, 5498, 7005, 9796, 1517, 1980, 7681, 4240, 2861, 3640, 5216, 1401, 3153, 5761, 2835, 5997, 9129, 4554, 3201, 6470, 7168, 532, 4259, 9455, 8681, 1902, 4671, 6015, 7867, 1104, 905, 2762, 9496, 4633, 2131, 8078, 3514, 1807, 9493, 3259, 784, 6940, 1849, 1841, 5465, 3832, 2196, 9168, 6254, 7808, 1388, 4569, 3589, 7820, 1733, 6984, 9785, 6750, 9141, 2702, 9181, 2083, 4478, 7286, 1774, 968, 5601, 3715, 4543, 9844, 8183, 7702, 3901, 3524, 7491, 5461, 4313, 7418, 2720, 1930, 4982, 2698, 8202, 3313, 6691, 7538, 5110, 9510, 9454, 9709, 5546, 1446, 7310, 4448, 9288, 708, 8644, 4458, 5671, 1996, 1994, 4600, 1893, 4743, 8359, 3475, 7176, 2030, 1025, 6116, 4597, 8839, 2927, 2448, 3810, 6670, 8245, 127, 2877, 4729, 8261, 3755, 9898, 5800, 4975, 145, 4331, 3116, 2795, 1066, 8274, 5839, 3516, 1585, 1493, 7055, 6124, 3689, 8955, 817, 1424, 8543, 8304, 8611, 542, 3573, 7108, 2736, 2636, 7175, 3231, 9812, 4489, 6734, 7761, 9537, 5583, 4647, 2882, 1515, 8777, 6859, 1227, 3285, 8905, 8148, 946, 7186, 3916, 8128, 3338, 7394, 3054, 9777, 1870, 9578, 6698, 465, 4480, 1701, 1559, 1513, 7829, 6948, 9280, 8931, 3561, 9481, 7884, 6853, 170, 9360, 4946, 9783, 6862, 5189, 950, 7448, 5292, 9046, 8909, 4169, 5361, 8402, 9613, 8836, 6623, 1350, 9214, 3837, 3581, 6146, 6830, 4102, 2976, 8021, 6047, 9808, 3062, 6346, 2204, 9205, 3609, 6614, 8961, 2876, 2395, 7216, 225, 7566, 2500, 7573, 657, 814, 3987, 5760, 6045, 6031, 3611, 6257, 2555, 2879, 3628, 4678, 2618, 8861, 7475, 6820, 3046, 6248, 9265, 7742, 5917, 7634, 5209, 3376, 8348, 15, 4645, 3373, 5169, 427, 8271, 2019, 8455, 9382, 7155, 9909, 8638, 5047, 6736, 9532, 2003, 9904, 8754, 51, 4574, 3002, 1276, 9931, 7819, 1817, 9320, 3489, 5176, 4475, 7061, 4400, 8818, 4032, 8380, 8485, 2633, 3954, 739, 4708, 3347, 593, 6568, 6100, 2334, 7131, 1610, 9617, 2961, 1400, 4503, 3562, 7352, 1414, 4326, 9095, 1299, 5300, 9424, 8572, 6222, 9211, 6432, 6237, 9837, 7227, 4272, 1742, 8281, 6110, 2622, 8527, 205, 4515, 2963, 9745, 7246, 4105, 7781, 798, 2799, 2416, 2476, 6391, 5167, 4534, 929, 570, 918, 2227, 6098, 3089, 2102, 2243, 4694, 4723, 1640, 9314, 2455, 5851, 2189, 7505, 9368, 5362, 6111, 2662, 2454, 8817, 2690, 9855, 8373, 7536, 2660, 4803, 5295, 837, 5739, 2317, 9324, 9545, 9371, 4251, 5840, 23, 2958, 896, 5447, 9344, 7978, 211, 9310, 1730, 3631, 6046, 5687, 5238, 3859, 705, 6147, 8935, 8601, 9924, 2774, 7976, 7705, 8634, 6893, 8587, 5355, 5158, 8337, 4482, 4527, 3239, 246, 6117, 6018, 2810, 6999, 8483, 8439, 9670, 6011, 3733, 6738, 451, 507, 1790, 5932, 8469, 9101, 6986, 5121, 1740, 2068, 407, 6112, 7561, 7298, 7994, 9206, 8972, 3577, 2520, 982, 4009, 4242, 7191, 6370, 2571, 7067, 3576, 95, 9731, 769, 6650, 3003, 7914, 1808, 7273, 3775, 666, 8187, 3674, 1728, 1494, 5772, 1866, 8604, 2714, 9442, 6290, 8882, 7455, 2686, 6405, 3094, 9111, 1669, 6768, 8888, 5120, 2590, 5311, 2200, 9126, 6553, 4852, 913, 2814, 6840, 1098, 5291, 9221, 2972, 9940, 7437, 8308, 9231, 3141, 8640, 5794, 2337, 9112, 6230, 1330, 9729, 3124, 559, 3415, 2384, 9649, 2915, 6087, 883, 4335, 9549, 2790, 425, 7461, 441, 7222, 9478, 5306, 986, 4321, 6318, 1745, 9433, 3549, 1538, 5440, 1704, 2254, 6425, 7309, 3608, 8745, 8374, 1898, 4849, 1577, 6774, 3132, 312, 8793, 1883, 9711, 9910, 7133, 4860, 4558, 9315, 7252, 6214, 3655, 7042, 7237, 7932, 3299, 8339, 4101, 5589, 4136, 3267, 58, 6519, 5320, 8113, 3744, 4426, 1903, 9133, 5449, 5323, 8412, 2975, 9612, 3237, 7743, 753, 2866, 885, 5683, 633, 5281, 6103, 2788, 8104, 7856, 6171, 6439, 3039, 172, 682, 3893, 8890, 3291, 8159, 1750, 879, 5399, 383, 964, 9624, 1666, 594, 7694, 1011, 917, 4029, 3548, 3927, 1624, 7428, 6205, 1475, 1417, 177, 7752, 9119, 50, 5599, 2984, 8262, 2161, 2293, 9919, 2502, 8589, 6819, 5681, 7744, 2858, 4367, 8550, 6332, 1634, 4191, 8505, 3592, 8123, 1395, 8701, 3790, 1747, 6390, 6068, 6422, 5957, 8665, 9056, 6845, 3722, 9936, 6545, 3696, 3324, 8324, 6884, 449, 7383, 5714, 868, 7485, 8327, 2097, 5970, 9266, 9400, 3526, 6414, 855, 7710, 8105, 1895, 2654, 5781, 3804, 8470, 4388, 2490, 2569, 319, 3630, 2924, 9137, 5152, 7673, 9416, 5096, 9255, 7048, 9960, 9886, 1313, 40, 4707, 6937, 500, 5602, 1471, 2392, 4936, 5605, 6275, 3922, 3414, 1078, 5276, 2170, 9030, 4284, 4580, 2996, 5872, 2578, 2107, 8926, 5509, 4986, 1598, 3886, 7612, 8533, 7047, 9695, 4382, 4856, 2333, 7110, 5626, 8410, 591, 9719, 2941, 8949, 2014, 2696, 440, 4486, 4540, 1953, 9074, 2215, 1782, 1673, 4114, 3864, 5024, 3479, 9147, 6526, 6073, 4140, 2946, 8765, 2965, 4056, 7199, 2356, 2671, 5437, 867, 9456, 3303, 3658, 2114, 2386, 2425, 3029, 7660, 4079, 5396, 5540, 919, 4761, 4914, 2047, 4422, 8970, 2220, 6704, 3137, 1991, 7650, 4058, 3412, 3873, 466, 8027, 6023, 7075, 7568, 260, 3979, 2897, 1362, 2073, 3763, 6404, 3626, 4873, 1876, 8959, 461, 4070, 1601, 3712, 725, 1531, 3850, 7447, 9011, 4911, 7242, 2694, 6057, 678, 4128, 5261, 1004, 342, 5328, 5163, 8310, 8743, 6952, 8659, 6723, 4918, 3418, 3235, 8377, 4741, 5114, 2398, 8398, 2330, 3, 9237, 6235, 5454, 1305, 2036, 7922, 5660, 6319, 4018, 1290, 8645, 8025, 8436, 7665, 6089, 6156, 1913, 2929, 3834, 7608, 4187, 7302, 4612, 8648, 2668, 5131, 7924, 6398, 3870, 3186, 2059, 2185, 4644, 9327, 6530, 6709, 4922, 2402, 2451, 3216, 771, 8781, 4820, 6593, 6070, 5062, 884, 4151, 9943, 2504, 3223, 4688, 9900, 4766, 9948, 226, 9243, 9323, 5191, 5975, 6541, 3752, 7487, 8779, 1181, 5585, 1306, 9333, 5861, 805, 7691, 2862, 8085, 6552, 1771, 5092, 8319, 2874, 8674, 653, 1933, 5430, 776, 5000, 2432, 1910, 5777, 4481, 7764, 5723, 334, 2284, 4203, 7929, 6813, 1603, 3672, 8647, 792, 5386, 331, 1122, 4189, 7787, 6273, 4562, 4864, 9109, 8607, 9664, 3248, 2182, 6050, 6729, 7811, 6360, 5558, 7198, 6016, 5050, 3635, 9769, 7760, 4254, 3360, 8125, 4112, 2133, 4916, 6055, 8463, 2556, 103, 8474, 7041, 6143, 4238, 7593, 5183, 8382, 996, 875, 669, 7111, 352, 8973, 2297, 8033, 8152, 9070, 1549, 8312, 4871, 1209, 5663, 9916, 3226, 9676, 980, 7249, 2249, 281, 8403, 6903, 4465, 7152, 4973, 426, 8795, 4537, 8695, 2552, 9406, 2461, 2053, 9298, 2115, 7211, 625, 7955, 2653, 4910, 8366, 5915, 6966, 232, 8227, 7979, 2300, 4122, 5879, 75, 1138, 6886, 7925, 573, 7201, 7265, 3251, 7148, 8357, 9562, 5351, 4737, 6148, 199, 9864, 8234, 4951, 2867, 8049, 8753, 3006, 5939, 2681, 4683, 7400, 5247, 8786, 8053, 3825, 9307, 2289, 2745, 4814, 9519, 1925, 5612, 4648, 8800, 567, 1627, 6448, 9001, 3976, 7308, 4298, 4317, 1018, 5685, 9227, 8698, 4035, 4999, 9341, 8761, 5168, 3314, 7483, 4476, 562, 9463, 8391, 2560, 809, 9489, 3964, 180, 4437, 4050, 9381, 4158, 3900, 597, 5271, 6035, 4121, 4397, 4598, 3265, 3058, 6040, 696, 4233, 6716, 2917, 5474, 6219, 1737, 539, 4801, 4506, 7717, 7839, 1480, 5946, 7171, 6710, 1955, 4855, 2769, 8812, 7546, 7384, 3721, 9638, 8, 8149, 864, 8371, 8503, 3134, 3823, 789, 9003, 7267, 6509, 9000, 503, 3410, 2100, 3971, 2208, 674, 9482, 1017, 4108, 709, 6793, 6413, 4371, 6069, 7109, 8367, 6892, 19, 5929, 2323, 2318, 9316, 8947, 2410, 7696, 3490, 7534, 1837, 7599, 9568, 9955, 1805, 6605, 6587, 8762, 2641, 5650, 9616, 3753, 1765, 4408, 4709, 1185, 5980, 6567, 9626, 6852, 2340, 8799, 9339, 8825, 7611, 6914, 8206, 3546, 4237, 5151, 2363, 6136, 3940, 5843, 8287, 6052, 6164, 8664, 7104, 1412, 8362, 2990, 7091, 6535, 2600, 2758, 9035, 3353, 431, 7502, 6803, 9741, 164, 5308, 9501, 1767, 6695, 7716, 9954, 353, 5044, 9357, 3438, 1894, 6460, 6510, 6784, 3758, 4166, 5296, 4390, 3682, 4091, 3335, 9816, 3538, 7117, 7714, 6910, 7688, 9426, 3617, 2886, 6809, 6019, 5707, 3196, 1269, 6377, 5999, 4566, 569, 8094, 8730, 7440, 8296, 8180, 736, 6260, 3794, 999, 1593, 3009, 48, 5911, 8658, 7656, 7969, 761, 4718, 5768, 5257, 6059, 9669, 895, 1319, 3466, 2424, 3591, 4552, 6731, 5182, 9702, 2266, 118, 6380, 138, 9680, 6492, 694, 1764, 8870, 7488, 4802, 2040, 5206, 8922, 9499, 4862, 965, 3991, 8146, 5202, 9233, 9006, 4372, 5718, 6856, 9191, 5063, 5556, 517, 6236, 8566, 8544, 9267, 916, 4454, 7575, 5370, 3894, 5348, 8486, 74, 7992, 6331, 2291, 8091, 1908, 9385, 9242, 9972, 8937, 8623, 8263, 7206, 6118, 3818, 2336, 4142, 433, 2607, 8945, 1964, 5523, 7807, 3177, 4173, 2744, 9644, 1111, 8368, 5195, 2585, 146, 7754, 4521, 2851, 244 ], [ 9249, 2387, 9048, 4567, 4215, 8211, 7527, 9160, 8418, 204, 6951, 9957, 2859, 2573, 7951, 5842, 6365, 6631, 4758, 564, 6634, 8969, 7467, 2304, 5490, 4492, 6782, 3874, 3937, 445, 6436, 8710, 5888, 8229, 665, 6198, 176, 3692, 3016, 1699, 9155, 5201, 5701, 9059, 7912, 4117, 4031, 6935, 9516, 2032, 266, 6740, 2492, 9028, 7706, 5725, 3133, 2136, 2320, 9239, 7936, 6702, 6393, 4608, 3551, 5290, 5373, 6381, 3690, 4420, 1364, 7831, 8058, 1302, 406, 122, 1353, 491, 2778, 5614, 9877, 630, 5936, 6928, 8259, 44, 9870, 3593, 2132, 7002, 548, 1546, 4971, 6010, 8307, 6671, 5528, 3919, 5720, 1840, 373, 7350, 2913, 4368, 6372, 9952, 5081, 4665, 3851, 6991, 5487, 9374, 1888, 3997, 7021, 7314, 8725, 7687, 4555, 9748, 9149, 3342, 3587, 5407, 4211, 3322, 1307, 5353, 6599, 5055, 602, 1503, 4264, 7515, 5775, 801, 4728, 7683, 231, 70, 4579, 5741, 4461, 5792, 8582, 7167, 439, 7858, 5646, 5548, 4646, 2592, 1545, 5647, 7840, 1188, 3869, 9959, 7931, 7339, 1021, 5847, 5333, 4771, 3651, 8014, 3791, 6176, 3057, 2286, 9511, 636, 8703, 1298, 4538, 8785, 7081, 6635, 8946, 163, 8798, 3147, 6428, 7060, 4783, 1975, 2245, 7974, 4495, 2604, 1985, 9312, 2865, 0, 863, 2880, 5091, 847, 6266, 6211, 2663, 2111, 9622, 5544, 4767, 4770, 6123, 8416, 9789, 8862, 4846, 5326, 5075, 7074, 9951, 1635, 9937, 2802, 6522, 1346, 488, 6995, 292, 7338, 4799, 8241, 858, 5482, 9773, 8450, 4885, 9673, 5978, 1204, 4726, 1938, 5079, 9935, 6284, 9985, 8620, 8323, 3583, 6882, 4981, 7508, 2468, 8591, 4051, 8086, 7401, 7224, 5996, 8982, 1543, 9448, 4474, 543, 7810, 8167, 4328, 8200, 5230, 9236, 6446, 5695, 9259, 9651, 8914, 872, 268, 5809, 1387, 5382, 1487, 2921, 5696, 6409, 846, 8424, 9229, 5298, 4007, 3436, 8902, 9047, 9991, 7988, 7066, 7486, 2203, 553, 9895, 4844, 4398, 1648, 6601, 2009, 7945, 2830, 7622, 1332, 4065, 8099, 6160, 398, 2539, 458, 9114, 1702, 3685, 3484, 6268, 1629, 1856, 248, 1905, 7583, 3401, 2968, 2763, 9414, 3257, 6313, 4510, 4036, 3849, 3639, 7493, 797, 1897, 5439, 1522, 9614, 8390, 7736, 3746, 6533, 8584, 9377, 1252, 2228, 4287, 5654, 7926, 2287, 2265, 6167, 7944, 121, 7124, 9159, 323, 2627, 6678, 4674, 5107, 9207, 5162, 7443, 405, 9688, 6354, 6182, 2441, 687, 8454, 3427, 6993, 6277, 656, 8895, 9175, 8452, 3367, 6580, 5242, 9118, 2477, 6387, 2084, 9202, 8989, 3943, 7417, 9063, 9747, 6880, 1233, 6407, 5596, 8932, 8941, 8824, 5423, 8508, 1241, 5756, 1150, 2312, 3092, 3453, 3172, 5441, 7591, 5284, 7847, 9678, 7058, 9154, 7380, 4819, 8583, 1676, 9022, 6924, 4148, 4692, 9941, 8443, 3369, 7344, 2957, 6049, 3219, 9049, 2496, 9597, 9976, 4188, 7127, 5591, 8735, 1322, 2979, 1536, 3688, 2786, 1443, 5339, 7247, 8023, 7821, 5299, 8504, 3423, 8386, 8191, 3281, 6620, 4462, 29, 4541, 3461, 9732, 783, 168, 7675, 9572, 6120, 6349, 3395, 4405, 2836, 4147, 2559, 7726, 7607, 4301, 7582, 6887, 4592, 3613, 8575, 7947, 3184, 1972, 5347, 9632, 7341, 9134, 700, 8755, 5384, 4469, 1890, 1550, 4261, 183, 1552, 4615, 9067, 4831, 4432, 3780, 5737, 6077, 9251, 5503, 9228, 6150, 3115, 1958, 5713, 5207, 1337, 3557, 255, 2167, 8992, 8171, 8425, 4256, 6480, 8031, 4829, 3519, 8438, 6344, 2529, 3745, 151, 1799, 9625, 7353, 5337, 6487, 6255, 5177, 2076, 90, 7270, 1885, 7779, 2403, 8892, 5043, 4263, 835, 1283, 3323, 1945, 972, 3553, 1484, 9535, 3432, 5374, 4431, 2367, 8740, 9997, 5485, 2536, 444, 5877, 3601, 8689, 8889, 6562, 6645, 6095, 7659, 4402, 526, 3710, 5749, 2768, 1798, 1779, 186, 2331, 5030, 7094, 6392, 6504, 4583, 3099, 9226, 3891, 1057, 4393, 6186, 2700, 5640, 7620, 6598, 5124, 4931, 9441, 5995, 2525, 8417, 8475, 326, 5981, 4241, 9431, 8497, 6807, 5125, 9203, 5377, 7666, 3941, 3271, 977, 830, 450, 4048, 5516, 6183, 2890, 1300, 9881, 7586, 7964, 5218, 8509, 4068, 549, 6241, 7052, 2007, 7769, 5455, 2038, 4116, 9281, 2446, 2487, 6596, 6163, 1622, 1259, 6894, 7679, 9800, 4278, 7163, 2183, 1152, 6253, 8852, 2401, 6410, 2150, 220, 9642, 9928, 6654, 6595, 4798, 8133, 142, 8131, 6827, 2948, 5820, 3559, 4213, 604, 5592, 6190, 3509, 3701, 5426, 2127, 7297, 4968, 1714, 240, 4963, 5693, 4924, 9043, 8831, 6662, 5633, 2553, 4297, 4722, 464, 361, 3015, 8843, 6544, 1453, 4653, 9867, 4651, 5211, 3560, 7657, 4145, 2869, 5803, 4578, 4257, 7232, 8069, 6989, 2012, 6821, 6001, 4804, 8844, 2045, 2112, 1140, 4161, 8551, 555, 5569, 7408, 7598, 2027, 8077, 1457, 1215, 9798, 3502, 8865, 1851, 1523, 7748, 7519, 5810, 1679, 8676, 7226, 7537, 4416, 7722, 6796, 9917, 6286, 3521, 8174, 3622, 7539, 9576, 2977, 2328, 9784, 7614, 1160, 7633, 2355, 921, 8347, 5702, 9872, 417, 1430, 1159, 1744, 7983, 1405, 4546, 3212, 3811, 9559, 5106, 3218, 8404, 1392, 2751, 5570, 2201, 1784, 9754, 2046, 2616, 399, 5098, 5884, 2510, 3199, 3381, 2713, 8597, 6495, 3467, 9708, 6609, 9208, 690, 5790, 8966, 2527, 5450, 6471, 2126, 7860, 2737, 7446, 5923, 870, 7140, 4751, 4084, 5933, 5434, 8573, 8344, 5067, 7136, 3881, 9677, 6415, 7057, 1103, 2566, 5831, 9885, 4450, 5674, 6491, 5730, 8150, 2568, 5571, 8328, 5758, 1476, 6828, 544, 8345, 1623, 9397, 4942, 5832, 4005, 9113, 1174, 7086, 7481, 3007, 372, 668, 2770, 5881, 8186, 5557, 6997, 8700, 8330, 4701, 7939, 2554, 8768, 9858, 8530, 8887, 2233, 4413, 3249, 9899, 3632, 6122, 8379, 1284, 4260, 4509, 2056, 1389, 1794, 1836, 5743, 8738, 930, 1201, 854, 2422, 7658, 2005, 6518, 4980, 7128, 7865, 2412, 7885, 1806, 2779, 415, 1408, 8608, 6956, 8956, 215, 1170, 3536, 7987, 5992, 7234, 3884, 6343, 1253, 4130, 3897, 6586, 1590, 3188, 194, 1626, 2087, 2028, 4201, 3510, 2145, 9418, 615, 4488, 9753, 4895, 4496, 8683, 2484, 4380, 4921, 3084, 642, 359, 3835, 2212, 7063, 430, 5664, 5108, 5722, 5692, 6992, 4267, 9170, 3673, 7361, 3815, 2986, 786, 9057, 5359, 2517, 8917, 7511, 4177, 2797, 3735, 4601, 9652, 4949, 9761, 5704, 8219, 5902, 2267, 862, 3967, 4144, 3646, 6503, 4247, 4235, 8950, 9036, 7326, 8943, 1020, 5036, 1960, 9261, 2832, 6791, 191, 6608, 1179, 45, 6930, 974, 794, 9274, 7849, 7784, 9143, 9248, 8546, 5935, 6406, 3377, 338, 963, 2437, 1997, 3542, 82, 2898, 7044, 7032, 9394, 5521, 9040, 9384, 198, 3211, 3402, 4459, 2202, 7541, 6334, 1950, 6043, 7525, 4, 2499, 955, 8356, 5716, 4897, 9521, 2339, 6646, 2128, 8613, 3988, 6090, 5966, 7581, 159, 7624, 3366, 8153, 1823, 2142, 5171, 6310, 9486, 9883, 4765, 2914, 6680, 4797, 1720, 7219, 3200, 9234, 8805, 7243, 9473, 5697, 975, 1830, 6264, 2091, 9146, 446, 6824, 5324, 4063, 1848, 1334, 2605, 8651, 4269, 6459, 9933, 5433, 6885, 4273, 2664, 8535, 865, 1010, 9609, 6953, 4768, 6497, 6496, 3035, 6854, 4514, 6402, 5510, 7177, 3734, 5237, 1281, 6582, 740, 721, 369, 6918, 9654, 8493, 4697, 1541, 2362, 2677, 2543, 6905, 8024, 4430, 2164, 6805, 3506, 9466, 6722, 8280, 1074, 2074, 923, 5321, 9219, 1240, 635, 9230, 7567, 2989, 2506, 9010, 7645, 3793, 9592, 2374, 9044, 8354, 7618, 3451, 5038, 4930, 5684, 9763, 9993, 4747, 5494, 9633, 1939, 1488, 2000, 31, 3258, 2824, 1182, 3637, 4440, 8749, 6565, 411, 7605, 7472, 9656, 3311, 380, 4570, 4823, 8462, 6323, 4446, 9903, 7315, 4246, 5893, 9163, 8720, 6906, 2532, 3644, 3523, 5870, 2213, 1707, 4920, 8750, 135, 6502, 2034, 1172, 5531, 1868, 7824, 6233, 530, 6534, 7225, 7007, 1906, 4265, 9751, 5594, 9075, 6239, 9037, 1594, 469, 2871, 8175, 967, 7046, 7474, 7902, 1777, 356, 5279, 8003, 2548, 5471, 8181, 4706, 7708, 4219, 302, 6618, 1553, 7920, 3017, 1988, 7122, 3469, 6968, 1583, 3215, 9039, 8383, 5325, 5489, 911, 3760, 8243, 9470, 7626, 7287, 8435, 6306, 4589, 400, 531, 3098, 3813, 795, 7233, 9071, 505, 5744, 6564, 402, 4354, 1039, 8432, 201, 6799, 287, 7904, 8464, 4711, 2474, 5766, 6132, 7826, 3983, 7388, 5620, 3782, 2697, 8349, 513, 5475, 6523, 4905, 8456, 4735, 6873, 7449, 2679, 3826, 7079, 2741, 7335, 2001, 4962, 2211, 2357, 796, 5432, 4917, 5020, 6178, 5735, 1077, 5143, 5190, 7253, 9607, 752, 2294, 1815, 5422, 7337, 2411, 2580, 9186, 7528, 270, 9569, 4369, 6546, 6732, 4907, 9128, 6727, 7423, 9541, 2903, 5941, 6653, 734, 8429, 5319, 6982, 9192, 3297, 6281, 3010, 9286, 8163, 7970, 9024, 8498, 6206, 7149, 7371, 1145, 7753, 5310, 8592, 8866, 1014, 6242, 9199, 3629, 1411, 8157, 4626, 310, 5170, 3152, 3080, 8220, 4511, 7729, 2124, 410, 9857, 6865, 436, 6028, 4123, 6435, 5862, 4150, 759, 4526, 6643, 1326, 6843, 813, 8661, 374, 1491, 525, 9655, 6927, 3097, 5205, 2088, 829, 335, 3462, 6517, 7105, 3289, 4067, 5816, 311, 3683, 8712, 7533, 4270, 3805, 673, 6231, 7719, 9539, 9759, 9311, 3024, 208, 195, 5762, 4396, 4299, 2665, 2920, 251, 4425, 4529, 5375, 4607, 8633, 861, 5140, 7985, 799, 8225, 4919, 5371, 1391, 988, 4387, 7732, 489, 6034, 5784, 9564, 254, 3687, 3507, 1083, 7311, 2537, 6473, 3345, 6720, 5798, 9756, 3770, 512, 7545, 8001, 8705, 588, 4172, 4381, 1377, 2380, 2222, 5457, 4411, 3496, 5368, 7629, 6994, 4781, 9031, 7652, 5270, 1255, 6177, 5186, 5314, 4046, 113, 2648, 4878, 5429, 6279, 7202, 2159, 5942, 7797, 6006, 2109, 5435, 3485, 2280, 639, 4974, 4436, 7365, 1667, 2434, 1440, 9964, 920, 6570, 9386, 6706, 3056, 3808, 9684, 746, 1427, 472, 9610, 2257, 2174, 3865, 9375, 4776, 7592, 3921, 3030, 2935, 7010, 8853, 2428, 9019, 4453, 8910, 2542, 9768, 6877, 7359, 2006, 9055, 7452, 8365, 1703, 2096, 6187, 4306, 9372, 5748, 2475, 9151, 3464, 2221, 6285, 2359, 5788, 5598, 6607, 4792, 1660, 5913, 5099, 5076, 1989, 3102, 6153, 6610, 3550, 8994, 3194, 4865, 1526, 4181, 3925, 5953, 8552, 8532, 4324, 5045, 4417, 2801, 6514, 6039, 298, 2588, 6288, 4385, 6516, 1791, 9635, 8997, 6022, 4109, 4343, 9429, 6615, 3923, 4881, 6987, 5504, 4523, 4853, 8968, 9457, 7090, 4055, 5963, 5005, 2652, 33, 1242, 5415, 6520, 640, 5869, 7500, 2216, 7879, 8278, 2546, 4076, 6000, 8998, 6337, 6835, 8746, 3888, 2730, 81, 5403, 4640, 6443, 5150, 4877, 4614, 5274, 9220, 8098, 6418, 5127, 5555, 6651, 1193, 6571, 9354, 7184, 2165, 7828, 7349, 4355, 718, 6711, 6194, 2430, 4784, 4635, 480, 3327, 9513, 8684, 778, 8699, 3123, 712, 5116, 5994, 6683, 6078, 1087, 1579, 4218, 6278, 6787, 3229, 8523, 1861, 7578, 7050, 7087, 596, 6293, 3705, 5944, 2885, 5409, 2907, 6581, 2031, 4342, 5623, 7490, 2822, 4304, 3545, 5495, 9097, 49, 8732, 250, 6811, 9797, 8426, 6921, 3037, 9124, 3280, 9195, 1310, 1321, 7530, 832, 5973, 849, 5919, 8112, 2090, 8472, 8253, 4418, 3748, 6020, 791, 1291, 953, 1778, 1429, 5765, 1293, 6540, 7498, 321, 28, 9080, 9467, 925, 112, 6243, 8127, 4958, 8500, 599, 5122, 2055, 5632, 873, 9804, 8646, 9771, 9140, 5642, 5451, 9542, 8559, 4721, 7689, 8991, 1207, 4658, 3985, 8201, 6822, 2685, 9358, 2617, 6469, 5280, 3202, 3572, 8122, 9492, 3970, 381, 212, 3454, 3702, 6032, 8724, 4628, 1449, 3586, 5137, 3671, 987, 412, 4996, 7603, 2388, 6340, 1064, 2550, 5283, 102, 3474, 5335, 6689, 8827, 4054, 3677, 3978, 5855, 8619, 7814, 282, 8520, 9121, 8422, 7305, 8618, 3908, 9846, 2614, 2309, 8283, 7015, 3382, 6667, 4340, 9815, 5174, 2052, 416, 3594, 4677, 6848, 4969, 267, 9556, 6021, 3049, 853, 6193, 9415, 3398, 5522, 7890, 9974, 8188, 2966, 175, 474, 7692, 1671, 8975, 1190, 5586, 7746, 7084, 8224, 5849, 6082, 3648, 2642, 1838, 6263, 4082, 5184, 4913, 1031, 5427, 1166, 1688, 1081, 5484, 9419, 1130, 6528, 7003, 9641, 1301, 1229, 2274, 1911, 2850, 3980, 7281, 6030, 851, 8121, 1761, 7601, 9868, 793, 2575, 9892, 4268, 6655, 2959, 8971, 2669, 878, 7213, 3880, 4876, 706, 2389, 3547, 7825, 7625, 4424, 1891, 8226, 6119, 3252, 1947, 533, 3670, 9410, 3616, 9726, 5712, 4800, 1645, 3448, 2905, 869, 7543, 1963, 7103, 1463, 1472, 8176, 6401, 1096, 5340, 3078, 3293, 6065, 2950, 6795, 5395, 7468, 7968, 3597, 5178, 9801, 7499, 7445, 9299, 5387, 3544, 4455, 8154, 2464, 3768, 8059, 1317, 189, 8313, 1184, 7395, 5288, 6092, 6735, 5574, 713, 5525, 4824, 6356, 9999, 4086, 6475, 5332, 8434, 4825, 1335, 9636, 2759, 6128, 9825, 1196, 2586, 1816, 9660, 5102, 3178, 7327, 6728, 3730, 1108, 167, 2462, 9766, 9920, 7421, 5754, 2995, 8036, 3652, 4932, 3143, 1524, 675, 4376, 4564, 9639, 328, 4557, 8823, 8804, 5734, 280, 1054, 8813, 140, 1968, 3397, 9340, 3513, 5806, 1342, 1973, 2819, 7001, 6870, 4353, 3803, 2558, 834, 5003, 2512, 1250, 493, 8055, 994, 89, 3898, 3643, 1532, 3001, 3686, 7036, 7509, 1680, 2659, 5550, 5297, 9100, 2815, 4938, 9561, 723, 3729, 3887, 9884, 7358, 3225, 8588, 8563, 3910, 9889, 8904, 8458, 9450, 584, 7980, 731, 9606, 4848, 7794, 9710, 3960, 9331, 2860, 901, 2478, 7889, 7728, 6746, 3681, 1473, 3063, 7187, 476, 3240, 1731, 1126 ], [ 3120, 8409, 9271, 7399, 6482, 6500, 4845, 8871, 787, 8414, 6881, 299, 8744, 1105, 4863, 4908, 453, 3370, 4467, 8554, 9526, 8726, 5349, 3209, 3902, 9973, 3044, 5783, 9461, 7153, 7419, 5478, 9197, 9042, 976, 9875, 4485, 2435, 9009, 7412, 5266, 8143, 6303, 4377, 1218, 9495, 6486, 8787, 4429, 2453, 729, 8930, 3590, 4807, 8413, 1573, 4100, 2224, 6794, 9586, 3866, 5771, 8277, 5708, 1238, 2205, 7340, 9743, 4225, 5071, 3691, 119, 1265, 1142, 8448, 4613, 4239, 1082, 5607, 5153, 2108, 7426, 522, 6858, 1495, 4548, 340, 5175, 4124, 3245, 8106, 7720, 5405, 8723, 9131, 9739, 2025, 9901, 8919, 2423, 6196, 572, 1802, 8952, 617, 4935, 1027, 6144, 4059, 4156, 7364, 9965, 1759, 4434, 295, 9188, 6465, 6637, 8691, 5428, 6058, 1697, 6240, 9663, 9752, 1370, 1514, 989, 3011, 308, 5514, 5773, 6463, 6975, 2937, 9512, 3387, 467, 1197, 1420, 7424, 3434, 3996, 663, 9284, 7654, 7552, 9807, 9520, 8326, 6250, 5369, 1086, 6403, 9408, 1721, 8770, 7621, 9252, 364, 9150, 9257, 2747, 7795, 1580, 5634, 1132, 5542, 5094, 7435, 7323, 4714, 9376, 8614, 2365, 4740, 6351, 2463, 6642, 8642, 9367, 9794, 1657, 3364, 1631, 6814, 3766, 5312, 423, 2376, 7830, 6007, 1059, 4463, 8079, 8321, 9623, 202, 5950, 9045, 1176, 2209, 3505, 6169, 9998, 1110, 9396, 5848, 2623, 4325, 305, 7876, 4115, 6345, 914, 891, 5903, 9856, 7192, 8857, 388, 4125, 703, 2783, 2135, 155, 1308, 8545, 1292, 647, 4373, 1708, 6295, 221, 3578, 8042, 9332, 7434, 4934, 3282, 5002, 9657, 4155, 5069, 9422, 5873, 5904, 6375, 3129, 9106, 6630, 9611, 2609, 910, 9809, 7555, 4466, 4066, 1846, 2252, 631, 6135, 8011, 3785, 9479, 1924, 8041, 3106, 938, 8848, 3042, 646, 579, 6920, 2198, 8585, 1887, 9172, 9552, 6812, 7492, 2701, 4008, 8814, 7473, 7560, 1530, 2482, 8217, 8192, 5520, 2637, 8731, 4451, 9859, 8269, 5418, 6961, 2290, 1312, 4652, 1982, 115, 1775, 6429, 5469, 3731, 1932, 4978, 8249, 2833, 3882, 6871, 9555, 6839, 4565, 4513, 1625, 4138, 2442, 3270, 2912, 3663, 4880, 4883, 9767, 7085, 8445, 494, 5817, 3537, 670, 2327, 3787, 2241, 5164, 5622, 8960, 936, 378, 4447, 7299, 7745, 162, 6270, 9065, 9979, 9399, 7385, 1755, 4544, 8446, 908, 7792, 5180, 5711, 7276, 3308, 5097, 962, 4224, 4271, 8496, 1948, 1261, 2351, 9842, 8295, 3156, 324, 5016, 420, 2670, 8045, 1464, 9014, 8577, 3709, 9620, 7141, 4498, 1468, 634, 1344, 437, 6838, 1279, 108, 931, 5611, 13, 4374, 8095, 8395, 3437, 3534, 1173, 1407, 6861, 1442, 2655, 2738, 3101, 9330, 8118, 7290, 4497, 7471, 8883, 4096, 7442, 9359, 1717, 7438, 9982, 4617, 4912, 9515, 8928, 5343, 2255, 7991, 9348, 5019, 1706, 120, 1796, 956, 3934, 7589, 8718, 6081, 9402, 7823, 4165, 4553, 3383, 4006, 3287, 1382, 66, 2152, 9380, 7217, 5486, 3160, 7852, 2342, 3478, 4038, 5727, 571, 4854, 4022, 6283, 6316, 3680, 7106, 4002, 3013, 4532, 1167, 2180, 9906, 2258, 69, 8605, 3515, 4858, 2214, 5688, 1288, 6641, 5958, 9083, 9161, 5757, 1655, 8784, 4229, 3332, 6638, 7022, 1606, 8302, 9177, 7933, 8555, 9020, 8292, 3164, 5883, 7891, 2960, 899, 8912, 2581, 4620, 5388, 8733, 2843, 283, 1820, 1016, 8663, 2640, 4599, 9343, 4449, 5077, 5398, 4103, 460, 4421, 5014, 7157, 904, 6232, 4816, 1574, 4394, 9792, 7989, 2347, 8672, 9130, 9536, 4053, 2821, 9185, 252, 6730, 9724, 600, 3527, 6300, 1917, 7623, 5145, 7027, 7877, 2250, 2716, 5993, 2845, 6451, 5534, 7647, 1556, 1839, 766, 2308, 9861, 43, 8767, 7017, 137, 7181, 4944, 7648, 6719, 5549, 5779, 1539, 8985, 6005, 5443, 6751, 3071, 8449, 9696, 2848, 2099, 3145, 9896, 5215, 4302, 8847, 9317, 8311, 7540, 1, 1499, 8494, 6762, 685, 6444, 1214, 3426, 8632, 629, 8276, 7283, 823, 1273, 6359, 339, 1002, 3984, 7600, 6085, 5636, 2260, 7669, 9934, 2168, 3272, 7780, 9553, 6419, 25, 98, 1199, 2967, 4196, 1448, 1951, 8856, 886, 5511, 609, 568, 1115, 236, 2892, 5968, 3399, 6309, 960, 4953, 4882, 6737, 4410, 1725, 6561, 8467, 93, 5982, 2148, 38, 4107, 1003, 8221, 1909, 6883, 2854, 3883, 4750, 4667, 6076, 2985, 8510, 166, 5604, 3486, 7524, 456, 3641, 161, 1280, 3455, 9779, 7725, 4360, 3142, 8842, 9200, 5985, 1294, 9326, 5539, 6606, 1618, 6786, 9718, 3452, 5882, 5782, 2657, 1547, 6825, 8641, 5267, 6158, 661, 3812, 9061, 7459, 2906, 224, 8431, 6707, 1139, 6686, 1670, 7909, 7786, 5365, 4378, 3407, 2649, 7766, 3487, 6946, 1992, 9823, 5336, 9589, 4045, 5890, 5074, 4530, 637, 9164, 6681, 452, 3713, 4037, 4773, 7935, 2138, 6573, 3284, 4383, 947, 6412, 3989, 3403, 1410, 4133, 2156, 954, 5656, 4795, 6548, 3920, 1203, 8944, 1092, 7949, 7905, 2699, 2579, 581, 2930, 730, 9212, 2526, 5518, 1810, 928, 3718, 4828, 8189, 3206, 8270, 2981, 6456, 5818, 3935, 3254, 6434, 2420, 2285, 7366, 8846, 8595, 7092, 4699, 4280, 9235, 2460, 1734, 5420, 2628, 6079, 4389, 7188, 4533, 758, 1589, 5057, 5119, 2595, 611, 2383, 7872, 8911, 274, 5265, 2433, 9321, 8018, 2812, 1700, 2721, 3038, 9648, 2868, 2834, 3699, 8863, 3439, 8054, 7832, 3296, 6154, 3242, 8070, 5566, 5579, 4025, 5621, 5219, 4075, 5214, 8071, 4193, 3417, 7965, 781, 8538, 5008, 3140, 2883, 3274, 6210, 2491, 8334, 3408, 4992, 764, 7791, 396, 9666, 3100, 4898, 7013, 4593, 3530, 2983, 7842, 6658, 9300, 6101, 4618, 9570, 2780, 6644, 9222, 9187, 7510, 8918, 6998, 2011, 5381, 3499, 1935, 6488, 3707, 8654, 7749, 8005, 4957, 9407, 7588, 1327, 8791, 5635, 4577, 5804, 644, 3114, 1268, 4627, 8242, 104, 7470, 8250, 8032, 152, 9758, 7529, 3797, 2982, 1977, 3868, 6688, 9347, 9085, 3911, 2904, 9845, 9477, 1467, 1834, 8938, 4110, 6713, 5764, 6228, 3045, 8984, 5866, 6234, 6208, 848, 7102, 4034, 9337, 1844, 8826, 4392, 4892, 3786, 2773, 2606, 9268, 3839, 5517, 2277, 9353, 4245, 4979, 1978, 8979, 927, 1374, 9275, 995, 1860, 9862, 6696, 508, 5010, 3429, 7956, 1504, 6913, 9932, 4705, 5526, 3638, 3171, 4167, 7563, 1402, 4700, 290, 3759, 100, 3802, 767, 5859, 2911, 5132, 4746, 2400, 6197, 2846, 148, 4174, 4139, 3082, 7372, 1604, 9102, 6416, 1461, 744, 9210, 4452, 8300, 9887, 9930, 5698, 6576, 2313, 7684, 6180, 7737, 9854, 2916, 5679, 2301, 8650, 4690, 5009, 998, 8399, 2962, 2021, 9958, 6075, 6384, 6947, 8396, 3860, 2146, 7142, 409, 1156, 1572, 8539, 3773, 8660, 5536, 6106, 7497, 3276, 3375, 2054, 2739, 7241, 5629, 265, 1709, 2316, 6138, 434, 1134, 9971, 6358, 4760, 6934, 5363, 1695, 4303, 732, 6317, 6048, 9171, 506, 9474, 4884, 4639, 9970, 3807, 7099, 9352, 8507, 5017, 773, 6261, 171, 2230, 2909, 1685, 4141, 6115, 3828, 9322, 800, 649, 228, 9637, 9926, 3182, 9430, 6305, 2531, 704, 3847, 2256, 4159, 143, 6467, 1320, 2302, 4473, 3336, 3739, 3684, 1462, 5452, 2493, 9879, 6368, 9447, 7557, 3656, 6215, 4782, 3174, 7239, 5147, 9878, 3096, 6612, 9062, 924, 5488, 2723, 2417, 4093, 3277, 2368, 926, 3914, 5088, 9963, 7597, 7172, 2692, 8708, 4872, 3842, 7416, 1260, 3390, 4162, 3232, 4403, 7073, 9423, 499, 8264, 1148, 3014, 7053, 5397, 6280, 1114, 4859, 1998, 7863, 2910, 1741, 4983, 5844, 7097, 4350, 9978, 9120, 3208, 6976, 5393, 9814, 8652, 9472, 2013, 5358, 7512, 8427, 3493, 9925, 6246, 3060, 8885, 820, 1942, 1277, 4629, 5448, 9387, 3862, 8151, 6769, 322, 78, 1275, 5746, 9661, 2999, 1507, 719, 7012, 7615, 6513, 592, 3852, 7386, 9738, 5875, 6616, 840, 3298, 42, 3938, 519, 3394, 1354, 4695, 4997, 3566, 9897, 8670, 8977, 6321, 3952, 9279, 4650, 9303, 8114, 4753, 7453, 7180, 7295, 1243, 7962, 7655, 8289, 9329, 8576, 1620, 1393, 6699, 7531, 272, 3844, 5567, 7616, 2123, 779, 1857, 5813, 7644, 7030, 7641, 1213, 6179, 7516, 4171, 6983, 566, 5172, 3831, 1684, 866, 7617, 4348, 7915, 8265, 8837, 7392, 2621, 5930, 2364, 4988, 9880, 181, 7550, 3304, 7917, 6394, 2440, 1732, 2947, 7043, 7319, 8248, 9184, 3615, 4276, 3533, 2955, 9686, 2130, 4365, 1264, 7393, 5210, 750, 8635, 586, 1137, 1804, 5161, 9139, 9790, 683, 2160, 6142, 8004, 6433, 585, 8637, 288, 4656, 348, 9026, 7379, 1171, 184, 8084, 2049, 4704, 6555, 676, 3719, 68, 5955, 5587, 6742, 5160, 3359, 641, 1437, 547, 3167, 3588, 2715, 5135, 5715, 3086, 3339, 5822, 2710, 117, 1451, 3540, 4636, 6302, 2194, 9370, 5850, 3220, 9942, 5989, 9659, 7257, 6590, 9506, 8096, 6747, 3992, 9398, 3384, 550, 3664, 2785, 1818, 1696, 3246, 9820, 9293, 5733, 3956, 3005, 3159, 6225, 9907, 2678, 3504, 1698, 8216, 2447, 4042, 2043, 1433, 900, 12, 3795, 6826, 3292, 6749, 7126, 1638, 9681, 952, 7441, 4363, 7436, 1404, 9362, 8172, 9413, 1165, 134, 8291, 5709, 6957, 8704, 9167, 6639, 2, 5728, 4047, 8370, 4575, 8875, 6252, 442, 893, 3659, 9744, 7396, 8760, 7049, 6192, 438, 9579, 574, 6201, 5458, 5682, 1934, 1907, 5436, 9912, 318, 3749, 6311, 3447, 2722, 7841, 3905, 5085, 3856, 7526, 7911, 3205, 6663, 3762, 5037, 7038, 3667, 1311, 5637, 4202, 9389, 1366, 9132, 5960, 234, 711, 6792, 4595, 9567, 1095, 4178, 2656, 4681, 1780, 5767, 6636, 5467, 2806, 6141, 1421, 7056, 3301, 233, 5376, 751, 9023, 3371, 8203, 6442, 7235, 6320, 7606, 4309, 9122, 3605, 243, 7880, 828, 47, 6867, 454, 8782, 9091, 2953, 1946, 9153, 7584, 8936, 3207, 658, 5414, 2732, 258, 7143, 1432, 9480, 2058, 5109, 9012, 7404, 8012, 1053, 9772, 9988, 6512, 1006, 8679, 2044, 4838, 2515, 3657, 3072, 6361, 6926, 1210, 1957, 71, 7844, 6498, 3649, 3341, 4003, 3085, 1613, 5651, 9793, 8179, 7913, 2501, 7559, 429, 5001, 3895, 4785, 4869, 7330, 6129, 595, 3119, 8690, 8147, 3238, 344, 6964, 8502, 2325, 87, 6212, 8124, 5678, 4088, 9503, 2426, 7334, 941, 9420, 4662, 2635, 679, 5383, 4685, 2688, 3158, 5606, 3389, 4576, 8586, 9388, 8067, 6151, 3924, 7547, 8361, 8052, 9598, 9244, 6362, 5149, 8488, 196, 9980, 9345, 8686, 7296, 2638, 4972, 2118, 9145, 4745, 2020, 6307, 3197, 1792, 7513, 6815, 8411, 7712, 6566, 275, 9355, 7451, 9263, 9905, 7735, 5530, 8279, 3618, 4199, 1899, 2264, 2695, 8346, 9947, 5446, 5256, 1001, 6597, 3779, 6837, 5082, 6550, 6745, 7429, 9176, 3131, 8788, 4812, 4808, 523, 2197, 2857, 9445, 3816, 518, 6974, 8385, 2939, 8240, 2248, 681, 2998, 3061, 2078, 807, 9735, 6114, 2035, 1338, 1649, 4131, 7077, 1045, 9645, 5885, 2997, 7381, 6977, 1120, 9602, 9148, 2803, 5406, 6559, 7750, 1595, 692, 9077, 3224, 5638, 4502, 457, 3558, 3724, 4850, 218, 7189, 1711, 1801, 2828, 7520, 4734, 8299, 4013, 3330, 8778, 4228, 5144, 5537, 1705, 1650, 4641, 3767, 5906, 9434, 1065, 6673, 8083, 7894, 1232, 9432, 7777, 8209, 7407, 5644, 7164, 5738, 2080, 1146, 8579, 8958, 8564, 2855, 5926, 757, 3966, 2162, 9223, 810, 6817, 114, 824, 6659, 6941, 2533, 6603, 6939, 5789, 4293, 4435, 9591, 394, 5951, 7993, 6002, 5157, 2856, 5759, 1180, 4827, 9975, 1900, 1974, 5064, 5501, 6613, 5551, 6851, 9986, 2645, 8062, 815, 6547, 6265, 9488, 1178, 5668, 7078, 2452, 4294, 3585, 9630, 5134, 5413, 5394, 9742, 5477, 2725, 6785, 2719, 9349, 2349, 7938, 8894, 5838, 8568, 777, 1743, 5676, 7953, 34, 5329, 132, 707, 4840, 9041, 3055, 9914, 5254, 6294, 2901, 6353, 610, 2612, 22, 1384, 3772, 1758, 1151, 2229, 6249, 4341, 8631, 3981, 6378, 7121, 7328, 7266, 8737, 8925, 1058, 558, 5934, 9736, 8481, 944, 3155, 3290, 9068, 1832, 3695, 812, 575, 83, 4433, 8896, 3736, 3428, 7635, 9412, 9819, 4134, 2794, 5317, 358, 8043, 1727, 3444, 3614, 9990, 3854, 1339, 6536, 9278, 2928, 3321, 7765, 2190, 291, 2594, 1162, 1668, 5089, 748, 5563, 628, 447, 8110, 3757, 8047, 1497, 1316, 3959, 7846, 6588, 5805, 8019, 8177, 934, 1557, 2632, 8081, 9404, 432, 3776, 2497, 4358, 3256, 2522, 4252, 2438, 5513, 5645, 6909, 7853, 6790, 9144, 3081, 3930, 4315, 5232, 2466, 5032, 3108, 8471, 7397, 8714, 8526, 5224, 3166, 4206, 2729, 6258, 3596, 5048, 1441, 2206, 2793, 3433, 8161, 1920, 5416, 2004, 7292, 7208, 3806, 5801, 1662, 371, 3465, 5185, 6324, 5819, 5731, 7640, 819, 3535, 4717, 9776, 3600, 2545, 6108, 6925, 5318, 5524, 4703, 7789, 1919, 2651, 5012, 9969, 9363, 3352, 7664, 1944, 1710, 4733, 5907, 2724, 4319, 1561, 8423, 7006, 4659, 277, 3365, 7251, 8716, 2784, 6549, 3027, 7373, 1967, 46, 7887, 7000, 3497, 4945, 2077, 4399, 9890, 2687, 8212, 3302, 6574, 4778, 9152, 697, 9017, 9165, 6604, 3931, 2295, 3234, 10, 9409, 4777, 8833, 7610, 6395, 8257, 1245, 4752, 6703, 3230, 2647, 1529, 693, 1949, 55, 7062, 5677, 6369, 4231, 5129, 9713, 8756, 5969, 197, 7941, 5101, 7450, 2369, 5188, 5588, 6855, 128, 7355, 6489, 2994, 7212, 747, 7263, 1169, 9270, 3525, 8336, 5334, 6157, 97, 5928, 1200, 9193, 5225, 7119, 5095, 1406, 9088, 9628, 9860, 8428, 3932, 7590, 8986, 4522, 1478, 749, 6907, 7214, 253, 1235, 7331, 1303, 887, 3567, 7261, 9458, 8808, 5424, 5379, 8993, 3130, 7816, 7690, 2488, 18, 235, 313, 2192 ], [ 4631, 6677, 6296, 5690, 1439, 1257, 5706, 9813, 7576, 8405, 2394, 1646, 7845, 1886, 5100, 1966, 3067, 9723, 1249, 5977, 856, 7135, 1616, 4384, 4249, 2847, 9817, 5421, 1822, 8193, 1012, 745, 8769, 5093, 9276, 6352, 2094, 6350, 2956, 9361, 1343, 9505, 7921, 684, 2298, 7095, 27, 5248, 110, 1567, 1470, 6113, 3556, 3404, 5699, 107, 8089, 6481, 8168, 3957, 351, 7370, 3064, 4744, 5411, 307, 8145, 7342, 6936, 4901, 1309, 99, 2516, 6083, 2390, 8719, 741, 6863, 2419, 8419, 9138, 7376, 8029, 5352, 9021, 7322, 1979, 41, 1474, 7291, 841, 7632, 7767, 3903, 8305, 6501, 2292, 273, 7120, 2680, 1423, 9795, 5331, 5200, 3393, 2873, 6753, 6857, 7280, 5886, 4098, 1042, 9775, 1694, 8534, 6199, 6298, 6061, 8897, 7756, 4479, 2764, 5582, 3416, 8630, 3048, 5774, 7304, 1314, 9498, 9190, 7307, 5026, 2026, 2247, 8747, 4755, 3982, 5643, 1961, 8387, 7220, 6970, 626, 2809, 1739, 7076, 7864, 200, 8685, 5156, 4347, 8491, 5680, 6066, 9297, 6004, 9216, 1435, 1803, 2521, 2358, 7460, 5931, 5940, 2445, 5378, 3491, 2278, 3654, 8158, 3867, 8392, 2691, 5372, 5196, 618, 3413, 2177, 5342, 876, 3306, 763, 9551, 3949, 860, 8020, 5984, 8066, 3456, 8444, 5217, 7158, 6622, 7264, 1028, 906, 1600, 2157, 4539, 5304, 3918, 5105, 7409, 5532, 7697, 2838, 3716, 5991, 7892, 5285, 1827, 3944, 8282, 1106, 8195, 5998, 7146, 7997, 3678, 1560, 3747, 8115, 5027, 5747, 3125, 9469, 337, 5776, 1482, 2900, 5442, 1569, 9874, 320, 540, 1859, 3355, 9295, 9791, 7457, 2564, 3951, 6216, 4594, 5901, 1896, 6687, 8621, 2397, 4427, 1592, 6904, 414, 1318, 852, 9436, 9774, 7489, 1239, 4861, 2066, 652, 3066, 1359, 546, 578, 2825, 7356, 9405, 4281, 8830, 3836, 8557, 6462, 504, 297, 1609, 648, 9921, 1628, 2299, 5179, 8822, 9518, 8794, 3604, 9715, 9968, 5964, 3190, 1282, 2181, 2244, 3845, 3295, 7190, 4571, 20, 9115, 1889, 8401, 2938, 6155, 9543, 655, 7907, 5305, 3975, 1661, 485, 4020, 8923, 9487, 6067, 2322, 7463, 7818, 8238, 979, 7080, 4074, 7973, 2658, 2693, 6400, 6584, 7462, 2734, 3741, 9090, 209, 1202, 2756, 5577, 3488, 443, 5228, 4415, 3720, 6773, 1813, 6445, 8298, 4568, 2752, 7504, 1969, 9746, 4894, 4573, 2273, 9225, 4019, 3151, 7558, 5041, 8721, 3228, 6832, 2827, 7796, 4998, 6647, 3121, 4955, 8013, 3972, 7739, 387, 6107, 8713, 2486, 4176, 7628, 3814, 8873, 8678, 2498, 7204, 5833, 5236, 9557, 4698, 2413, 2826, 5795, 8182, 8537, 5061, 2480, 7019, 2465, 365, 3843, 8616, 5040, 4960, 2391, 8864, 3858, 9356, 4428, 8964, 4094, 4731, 7346, 8513, 9848, 7757, 4351, 5675, 3379, 3193, 6327, 1990, 2134, 8773, 2572, 333, 7223, 8728, 53, 9468, 8578, 4675, 8437, 8615, 5719, 9213, 871, 3999, 6895, 622, 3135, 7320, 2513, 306, 9701, 7649, 9966, 7182, 9810, 3946, 7901, 6583, 3294, 2839, 182, 1183, 4536, 1154, 5920, 390, 9847, 2366, 2344, 16, 3855, 3700, 7288, 3777, 7661, 7999, 2624, 8995, 5479, 3963, 4279, 5865, 8026, 8492, 605, 257, 6985, 2922, 5278, 8816, 9157, 4809, 5575, 9580, 4099, 6195, 1723, 2282, 4288, 6175, 4610, 9173, 9, 7975, 8341, 1296, 9509, 5717, 7685, 5974, 6959, 5631, 5729, 5897, 5802, 346, 5827, 7882, 2063, 203, 7881, 4457, 1492, 6932, 4362, 1952, 7906, 4132, 5356, 1158, 1689, 5529, 5259, 2603, 6053, 3568, 7815, 3358, 3406, 256, 4444, 5360, 3118, 3607, 8406, 4154, 5853, 6592, 1295, 9996, 9866, 7494, 5260, 6781, 4017, 1752, 2727, 9204, 7377, 6389, 5857, 5481, 2753, 9566, 3079, 8050, 8694, 6802, 8668, 4531, 6973, 9127, 2576, 6901, 6756, 9449, 5900, 2508, 2082, 9522, 3095, 3875, 7134, 2457, 144, 7763, 341, 9437, 6374, 8064, 1976, 8521, 130, 2207, 5058, 762, 1436, 8990, 9618, 7822, 5868, 4847, 8267, 8957, 6282, 5769, 448, 3522, 7805, 86, 8294, 9444, 3111, 4080, 2371, 537, 942, 1762, 7958, 109, 1571, 6213, 842, 7773, 1381, 1372, 3917, 5221, 355, 5755, 9581, 9603, 2562, 9873, 2158, 4834, 8736, 2311, 3337, 621, 9318, 2092, 743, 3503, 4230, 5470, 8697, 5212, 8974, 4588, 3929, 9583, 6408, 1845, 6763, 3244, 7793, 3288, 8102, 1272, 6917, 3468, 514, 2341, 1787, 7680, 6173, 8325, 4149, 3198, 3518, 9007, 129, 3703, 6276, 5367, 6849, 7469, 9574, 9675, 5345, 5554, 6585, 5357, 2242, 5559, 6980, 6693, 2296, 5401, 3333, 4952, 6267, 9438, 2495, 2805, 8065, 2717, 6869, 496, 4320, 7414, 1521, 8835, 8600, 9706, 1915, 8692, 7425, 2436, 4663, 4081, 7254, 4292, 3457, 3312, 3032, 6269, 2379, 9246, 5894, 9258, 5148, 5123, 8954, 1153, 5315, 5593, 481, 877, 2849, 6715, 5617, 5018, 4991, 2172, 5268, 9485, 970, 521, 174, 1659, 4338, 695, 6833, 6539, 5910, 5289, 5864, 1940, 2225, 2673, 1009, 4285, 8130, 1892, 1490, 6724, 5628, 2065, 1128, 8662, 5874, 6911, 1231, 1651, 4504, 2875, 3443, 5750, 241, 1037, 8809, 1141, 4976, 4891, 3610, 9547, 85, 984, 360, 4119, 3579, 4866, 7827, 1315, 3725, 5039, 1970, 1682, 5138, 5468, 8228, 8759, 1795, 5240, 3449, 3876, 6577, 2711, 8215, 5976, 5302, 9018, 193, 7282, 3878, 17, 3574, 8236, 8880, 5916, 8315, 7405, 9369, 4655, 6755, 1498, 724, 4622, 4118, 4143, 5051, 2597, 363, 9066, 329, 5350, 7403, 4060, 8625, 3877, 2591, 5499, 1055, 3103, 1672, 6121, 8015, 5004, 9338, 4535, 1793, 6808, 5925, 1632, 5022, 59, 4811, 8080, 6844, 9156, 455, 8141, 9882, 6633, 4724, 1884, 9504, 6818, 9788, 8092, 7854, 3565, 2683, 7174, 4027, 7861, 3318, 9647, 9465, 8199, 7693, 3809, 7100, 4561, 5895, 7347, 4987, 6697, 2184, 838, 2051, 8210, 6789, 3912, 4990, 4603, 3126, 6524, 8451, 9760, 293, 6335, 1297, 6477, 3495, 2429, 8293, 1658, 2889, 859, 7918, 686, 4216, 3217, 9283, 7456, 1584, 7325, 1177, 8251, 6908, 345, 4874, 5231, 6244, 7011, 1757, 7415, 1071, 7185, 2926, 8908, 8482, 806, 276, 6423, 1102, 1118, 5627, 1329, 8040, 624, 4581, 9740, 1121, 4490, 4984, 3109, 7040, 284, 147, 2259, 8891, 7277, 8284, 4943, 9393, 3026, 139, 8197, 8541, 21, 2061, 1046, 4153, 4183, 5971, 9949, 7477, 4584, 8165, 3105, 2708, 1872, 1000, 4300, 389, 5639, 8602, 3374, 3346, 3829, 6347, 1144, 6780, 6841, 3563, 5836, 1642, 6741, 4732, 5113, 7138, 5249, 8430, 6744, 1226, 6619, 6494, 1155, 2728, 557, 5541, 2381, 6923, 7200, 5618, 219, 8333, 7054, 7151, 4500, 6341, 8872, 3243, 8907, 1455, 3391, 4833, 7897, 4023, 1447, 1599, 2173, 8548, 3948, 1879, 131, 5402, 671, 6629, 2226, 2820, 2735, 2949, 691, 3362, 1501, 2514, 4634, 9209, 9911, 3872, 8355, 619, 7813, 2970, 2281, 7898, 9780, 2557, 5619, 3633, 7215, 1921, 2881, 111, 14, 314, 9836, 1244, 1256, 2307, 5630, 2789, 9292, 2469, 9682, 5581, 6166, 7009, 216, 1715, 7088, 1024, 4248, 4012, 2186, 1270, 7869, 4642, 612, 6478, 7741, 366, 8016, 1186, 5742, 1508, 2800, 2919, 5828, 9762, 8235, 9174, 973, 6064, 7835, 7961, 560, 2489, 9672, 7579, 3424, 6625, 7785, 4868, 7682, 2263, 2458, 2443, 8137, 4928, 9827, 7507, 8599, 3425, 5947, 7476, 7695, 4499, 6556, 5600, 3969, 1864, 3138, 2450, 9116, 4727, 9953, 6628, 7727, 2852, 529, 5103, 1565, 5949, 1835, 6778, 5126, 2086, 6505, 4085, 1328, 7113, 8940, 3319, 479, 8109, 7374, 116, 2406, 1324, 2329, 1026, 6145, 9069, 3889, 4071, 9290, 5613, 1926, 3093, 7034, 1937, 3028, 8802, 6289, 3074, 106, 6161, 2070, 6014, 6224, 2712, 5686, 2676, 6202, 8900, 3871, 8622, 7875, 8775, 9835, 9201, 7430, 3798, 5258, 737, 3480, 435, 5533, 2272, 8967, 2234, 30, 2587, 1527, 1422, 1013, 1189, 4682, 1533, 8008, 3994, 1751, 1333, 4939, 4696, 8117, 2750, 8440, 9850, 315, 9540, 1456, 9945, 1125, 8499, 7357, 7874, 6338, 7667, 7848, 3833, 8811, 551, 4333, 1365, 5273, 9643, 2372, 3603, 5770, 3163, 6062, 5987, 6915, 1033, 2705, 5425, 421, 5595, 888, 857, 72, 1800, 126, 2888, 9273, 5814, 6965, 8120, 1044, 4989, 5197, 1163, 1067, 9956, 8574, 1664, 2528, 7150, 9923, 5736, 839, 8751, 5193, 3623, 2666, 8232, 9029, 9325, 607, 8459, 1619, 6624, 2431, 5527, 8286, 7114, 3694, 7662, 7701, 4262, 4899, 7782, 6679, 1516, 9313, 9687, 1871, 6220, 7154, 3087, 5515, 2104, 1080, 1458, 1663, 9052, 2041, 5199, 8590, 790, 7129, 3539, 5, 1398, 1562, 296, 983, 428, 347, 9342, 1116, 3203, 7963, 7627, 7930, 8860, 1399, 6450, 7411, 660, 2954, 5673, 7783, 7800, 1528, 9703, 4970, 7279, 5213, 3179, 1481, 1588, 8673, 2408, 1502, 1753, 7033, 2176, 5181, 165, 4039, 6109, 4192, 3419, 5830, 5117, 3531, 3036, 3388, 5146, 4033, 56, 2813, 7501, 9571, 3019, 4720, 7878, 2776, 9893, 3070, 7205, 9240, 1072, 8629, 5204, 889, 7981, 7159, 5807, 5726, 4572, 3075, 4889, 5251, 6916, 6981, 1548, 2067, 5665, 6971, 190, 5508, 1413, 990, 9728, 2620, 9282, 9989, 9390, 9247, 6125, 7391, 7715, 8009, 8314, 2570, 368, 2095, 9142, 874, 4395, 9245, 1811, 6594, 1748, 9757, 492, 3668, 6437, 2538, 9096, 4839, 4664, 5918, 6484, 7995, 7868, 9839, 1718, 1586, 1211, 8376, 6846, 8693, 6168, 5070, 2547, 7014, 2163, 4409, 4624, 7026, 385, 9058, 1251, 7996, 4184, 949, 3012, 2969, 7700, 3183, 6238, 6126, 9722, 3157, 8100, 6944, 7544, 8878, 3040, 3334, 9691, 7035, 1781, 4560, 9869, 8711, 4494, 9079, 6684, 4443, 8981, 8048, 9615, 7895, 3909, 7572, 76, 1143, 6627, 7954, 3751, 4906, 6834, 8222, 2079, 5959, 9136, 8136, 3233, 7942, 1217, 3122, 9459, 6086, 8208, 8951, 6104, 2472, 9689, 5657, 2093, 6798, 2217, 4851, 9705, 7636, 1019, 7802, 4346, 4175, 754, 2075, 7118, 8378, 2129, 5648, 1833, 971, 133, 5655, 5845, 3645, 8297, 7677, 6829, 1097, 5466, 892, 6152, 3176, 2971, 279, 7278, 1062, 9054, 9483, 1361, 6314, 2050, 8628, 382, 1263, 5496, 6551, 1607, 9336, 7804, 2987, 7390, 5572, 2062, 9162, 9640, 890, 9500, 5914, 1962, 7496, 8764, 6665, 2345, 26, 2151, 2936, 2540, 6675, 9902, 6543, 5042, 3732, 5603, 271, 7458, 9967, 7363, 1085, 4587, 5404, 9103, 8877, 3740, 6575, 5233, 1551, 4738, 7464, 9781, 992, 3210, 1124, 5823, 8933, 8239, 9918, 4547, 3263, 7723, 3065, 9962, 501, 105, 1444, 4040, 2817, 6664, 1192, 5578, 5565, 1005, 4959, 4286, 8570, 1568, 8375, 5502, 6902, 7595, 2509, 5506, 1693, 2305, 4057, 5080, 264, 9427, 24, 5139, 8389, 4120, 997, 60, 7115, 534, 3564, 6705, 9507, 1877, 7193, 2418, 376, 5493, 9264, 4668, 2644, 4549, 5780, 9125, 4226, 3693, 5338, 7532, 9950, 7553, 6159, 2479, 6063, 961, 2891, 2022, 65, 1854, 2385, 7523, 6453, 9716, 803, 2760, 8792, 8819, 4160, 475, 985, 8256, 5066, 5229, 5476, 136, 7245, 951, 2534, 1336, 5234, 4274, 4954, 7480, 1222, 3033, 4375, 3175, 8487, 2029, 710, 8244, 6174, 1768, 4507, 239, 6955, 7952, 7718, 3602, 4323, 9306, 4817, 1831, 229, 8553, 8571, 1788, 2792, 7738, 3619, 4550, 4619, 4180, 7255, 6262, 788, 3368, 2613, 8593, 3269, 943, 6399, 7329, 7971, 5724, 3236, 9529, 5791, 1352, 7806, 2709, 5763, 5821, 7986, 332, 650, 9621, 3965, 8706, 1038, 4312, 2405, 8516, 8178, 5013, 9395, 8942, 6093, 2625, 2427, 4127, 5059, 8090, 6396, 7569, 5068, 8093, 5597, 8512, 6008, 5703, 4126, 6382, 4253, 6291, 6133, 9650, 3189, 8246, 2742, 7478, 8453, 4000, 4739, 6726, 5871, 4923, 6203, 1608, 459, 9008, 9750, 9523, 3154, 2870, 3517, 8832, 4679, 1736, 4275, 9531, 3309, 8687, 3473, 3840, 1075, 1578, 4391, 4472, 9707, 966, 627, 3392, 3283, 1425, 4069, 6600, 2310, 3936, 716, 3706, 6860, 2235, 9737, 4327, 7948, 1865, 192, 1754, 3052, 1047, 2081, 7132, 210, 9802, 4089, 9929, 4715 ] ]